*****************************
* NUMERICAL QUADRATURE DATA *
*****************************

This is an attachment to the book "P. Solin, K. Segeth 
and I. Dolezel: Higher-Order Finite Element Methods",
Chapman & Hall/CRC Press, 2003.

Copyright March 2003 Chapman & Hall/CRC Press.

VERIFICATION AND RELIABILITY OF THE DATA:

The quadrature rules below were implemented and each of them 
tested on a reasonable number of randomly-generated polynomials
of appropriate orders. Related Mathematica notebooks are 
enclosed in a separate subdirectory. The function of the notebooks
is self-explanatory - there is a separate notebook for each
polynomial order and each domain. The integration points and
weights can be found in its first part. Definition of a polynomial
test function follows (you can see the last of several ones
that we used). Algorithm for the numerical quadrature follows, 
and finally the function is integrated analytically. 
  We encourage the reader to take a minute to test some of the 
notebooks in Mathematica by himself, not only to make sure that 
the quadrature data is correct but mainly to get a feeling for 
how the quadrature rules work.
  In the unlikely case that you discover a bug, please be so 
kind to report it to solin@caam.rice.edu and solin@iee.cas.cz. 
Your help is greatly appreciated.

QUADRATURE DOMAINS:

1D: reference interval K_a
2D: reference triangle K_t,
    reference quadrilateral K_q
3D: reference brick K_B
    reference tetrahedron K_T
    reference prism K_P
(All of them were defined in Chapter 2)

STRUCTURE OF THE QUADRATURE RULES:

All quadrature rules start with the number of quadrature 
           points.
Each line: 'd' spatial coordinates of an integration point
           and the corresponding weight (d = 1, 2 or 3 is 
           the appropriate spatial dimension)

DATABASE OF QUADRATURE RULES:

2
1  1
-1  1
  Closed  Newton-Cotes  quadrature  constants  order  n=1

3
1  1/3
0  4/3
-1  1/3
  Closed  Newton-Cotes  quadrature  constants  order  n=2

4
1  1/4
1/3  3/4
-1/3  3/4
-1  1/4
  Closed  Newton-Cotes  quadrature  constants  order  n=3

5
1  7/45
1/2  32/45
0  12/45
-1/2  32/45
-1  7/45
  Closed  Newton-Cotes  quadrature  constants  order  n=4

6
1  19/144
3/5  75/144
1/5  50/144
-1/5  50/144
-3/5  75/144
-1  19/144
  Closed  Newton-Cotes  quadrature  constants  order  n=5

7
1  41/420
2/3  216/420
1/3  27/420
0  272/420
-1/3  27/420
-2/3  216/420
-1  41/420
  Closed  Newton-Cotes  quadrature  constants  order  n=6

8
1  751/8640
5/7  3577/8640
3/7  1323/8640
1/7  2989/8640
-1/7  2989/8640
-3/7  1323/8640
-5/7  3577/8640
-1  751/8640
  Closed  Newton-Cotes  quadrature  constants  order  n=7



2
0.5773502691896257645091488  1
-0.5773502691896257645091488  1
  Chebyshev  quadrature  constants  order  n+1=3

3
0.7071067811865475244008444  2/3
0.0000000000000000000000000  2/3
-0.7071067811865475244008444  2/3
  Chebyshev  quadrature  constants  order  n+1=4

4
0.7946544722917661229555309  1/2
0.1875924740850798998601393  1/2
-0.1875924740850798998601393  1/2
-0.7946544722917661229555309  1/2
  Chebyshev  quadrature  constants  order  n+1=5

5
0.8324974870009818758925836  2/5
0.3745414095535810655860444  2/5
0.0000000000000000000000000  2/5
-0.3745414095535810655860444  2/5
-0.8324974870009818758925836  2/5
  Chebyshev  quadrature  constants  order  n+1=6

6
0.8662468181078205913835981  1/3
0.4225186537611115291185464  1/3
0.2666354015167047203315346  1/3
-0.2666354015167047203315346  1/3
-0.4225186537611115291185464  1/3
-0.8662468181078205913835981  1/3
  Chebyshev  quadrature  constants  order  n+1=7

7
0.8838617007580490357042241  2/7
0.5296567752851568113850475  2/7
0.3239118105199076375196731  2/7
0.0000000000000000000000000  2/7
-0.3239118105199076375196731  2/7
-0.5296567752851568113850475  2/7
-0.8838617007580490357042241  2/7
  Chebyshev  quadrature  constants  order  n+1=8

9
0.9115893077284344736649486  2/9
0.6010186553802380714281279  2/9
0.5287617830578799932601816  2/9
0.1679061842148039430680319  2/9
0.0000000000000000000000000  2/9
-0.1679061842148039430680319  2/9
-0.5287617830578799932601816  2/9
-0.6010186553802380714281279  2/9
-0.9115893077284344736649486  2/9
  Chebyshev  quadrature  constants  order  n+1=10



3
1.0000000000000000000000000  0.3333333333333333333333333
0.0000000000000000000000000  1.3333333333333333333333333
-1.0000000000000000000000000  0.3333333333333333333333333
  Lobatto  (Radau)  quadrature  constants  order  2n-3=3

4
1.0000000000000000000000000  0.1666666666666666666666667
0.4472135954999579392818347  0.8333333333333333333333333
-0.4472135954999579392818347  0.8333333333333333333333333
-1.0000000000000000000000000  0.1666666666666666666666667
  Lobatto  (Radau)  quadrature  constants  order  2n-3=5

5
1.0000000000000000000000000  0.1000000000000000000000000
0.6546536707079771437982925  0.5444444444444444444444444
0.0000000000000000000000000  0.7111111111111111111111111
-0.6546536707079771437982925  0.5444444444444444444444444
-1.0000000000000000000000000  0.1000000000000000000000000
  Lobatto  (Radau)  quadrature  constants  order  2n-3=7

6
1.0000000000000000000000000  0.0666666666666666666666667
0.7650553239294646928510030  0.3784749562978469803166128
0.2852315164806450963141510  0.5548583770354863530167205
-0.2852315164806450963141510  0.5548583770354863530167205
-0.7650553239294646928510030  0.3784749562978469803166128
-1.0000000000000000000000000  0.0666666666666666666666667
  Lobatto  (Radau)  quadrature  constants  order  2n-3=9

7
1.0000000000000000000000000  0.0476190476190476190476190
0.8302238962785669298720322  0.2768260473615659480107004
0.4688487934707142138037719  0.4317453812098626234178710
0.0000000000000000000000000  0.4876190476190476190476190
-0.4688487934707142138037719  0.4317453812098626234178710
-0.8302238962785669298720322  0.2768260473615659480107004
-1.0000000000000000000000000  0.0476190476190476190476190
  Lobatto  (Radau)  quadrature  constants  order  2n-3=11

8
1.0000000000000000000000000  0.0357142857142857142857143
0.8717401485096066153374457  0.2107042271435060393829921
0.5917001814331423021445107  0.3411226924835043647642407
0.2092992179024788687686573  0.4124587946587038815670530
-0.2092992179024788687686573  0.4124587946587038815670530
-0.5917001814331423021445107  0.3411226924835043647642407
-0.8717401485096066153374457  0.2107042271435060393829921
-1.0000000000000000000000000  0.0357142857142857142857143
  Lobatto  (Radau)  quadrature  constants  order  2n-3=13

9
1.0000000000000000000000000  0.0277777777777777777777778
0.8997579954114601573123452  0.1654953615608055250463397
0.6771862795107377534458854  0.2745387125001617352807056
0.3631174638261781587107521  0.3464285109730463451151315
0.0000000000000000000000000  0.3715192743764172335600907
-0.3631174638261781587107521  0.3464285109730463451151315
-0.6771862795107377534458854  0.2745387125001617352807056
-0.8997579954114601573123452  0.1654953615608055250463397
-1.0000000000000000000000000  0.0277777777777777777777778
  Lobatto  (Radau)  quadrature  constants  order  2n-3=15

10
1.0000000000000000000000000  0.0222222222222222222222222
0.9195339081664588138289327  0.1333059908510701111262272
0.7387738651055050750031062  0.2248893420631264521194578
0.4779249498104444956611751  0.2920426836796837578755823
0.1652789576663870246262198  0.3275397611838974566565105
-0.1652789576663870246262198  0.3275397611838974566565105
-0.4779249498104444956611751  0.2920426836796837578755823
-0.7387738651055050750031062  0.2248893420631264521194578
-0.9195339081664588138289327  0.1333059908510701111262272
-1.0000000000000000000000000  0.0222222222222222222222222
  Lobatto  (Radau)  quadrature  constants  order  2n-3=17

11
1.0000000000000000000000000  0.0181818181818181818181818
0.9340014304080591343322741  0.1096122732669948644614034
0.7844834736631444186224178  0.1871698817803052041081415
0.5652353269962050064709640  0.2480481042640283140400849
0.2957581355869393914319115  0.2868791247790080886792224
0.0000000000000000000000000  0.3002175954556906937859319
-0.2957581355869393914319115  0.2868791247790080886792224
-0.5652353269962050064709640  0.2480481042640283140400849
-0.7844834736631444186224178  0.1871698817803052041081415
-0.9340014304080591343322741  0.1096122732669948644614034
-1.0000000000000000000000000  0.0181818181818181818181818
  Lobatto  (Radau)  quadrature  constants  order  2n-3=19

12
1.0000000000000000000000000  0.0151515151515151515151515
0.9448992722228822234075801  0.0916845174131961306683426
0.8192793216440066783486416  0.1579747055643701151646710
0.6328761530318606776624049  0.2125084177610211453583021
0.3995309409653489322643498  0.2512756031992012802932444
0.1365529328549275548640619  0.2714052409106961770002883
-0.1365529328549275548640619  0.2714052409106961770002883
-0.3995309409653489322643498  0.2512756031992012802932444
-0.6328761530318606776624049  0.2125084177610211453583021
-0.8192793216440066783486416  0.1579747055643701151646710
-0.9448992722228822234075801  0.0916845174131961306683426
-1.0000000000000000000000000  0.0151515151515151515151515
  Lobatto  (Radau)  quadrature  constants  order  2n-3=21



2
-0.5773502691896257645091488  1.0000000000000000000000000
0.5773502691896257645091488  1.0000000000000000000000000
  Gauss  quadrature  points  and  weights  order  2n-1=3

3
-0.7745966692414833770358531  0.5555555555555555555555556
0.0000000000000000000000000  0.8888888888888888888888889
0.7745966692414833770358531  0.5555555555555555555555556
  Gauss  quadrature  points  and  weights  order  2n-1=5

4
-0.8611363115940525752239465  0.3478548451374538573730639
-0.3399810435848562648026658  0.6521451548625461426269361
0.3399810435848562648026658  0.6521451548625461426269361
0.8611363115940525752239465  0.3478548451374538573730639
  Gauss  quadrature  points  and  weights  order  2n-1=7

5
-0.9061798459386639927976269  0.2369268850561890875142640
-0.5384693101056830910363144  0.4786286704993664680412915
0.0000000000000000000000000  0.5688888888888888888888889
0.5384693101056830910363144  0.4786286704993664680412915
0.9061798459386639927976269  0.2369268850561890875142640
  Gauss  quadrature  points  and  weights  order  2n-1=9

6
-0.9324695142031520278123016  0.1713244923791703450402961
-0.6612093864662645136613996  0.3607615730481386075698335
-0.2386191860831969086305017  0.4679139345726910473898703
0.2386191860831969086305017  0.4679139345726910473898703
0.6612093864662645136613996  0.3607615730481386075698335
0.9324695142031520278123016  0.1713244923791703450402961
  Gauss  quadrature  points  and  weights  order  2n-1=11

7
-0.9491079123427585245261897  0.1294849661688696932706114
-0.7415311855993944398638648  0.2797053914892766679014678
-0.4058451513773971669066064  0.3818300505051189449503698
0.0000000000000000000000000  0.4179591836734693877551020
0.4058451513773971669066064  0.3818300505051189449503698
0.7415311855993944398638648  0.2797053914892766679014678
0.9491079123427585245261897  0.1294849661688696932706114
  Gauss  quadrature  points  and  weights  order  2n-1=13

8
-0.9602898564975362316835609  0.1012285362903762591525314
-0.7966664774136267395915539  0.2223810344533744705443560
-0.5255324099163289858177390  0.3137066458778872873379622
-0.1834346424956498049394761  0.3626837833783619829651504
0.1834346424956498049394761  0.3626837833783619829651504
0.5255324099163289858177390  0.3137066458778872873379622
0.7966664774136267395915539  0.2223810344533744705443560
0.9602898564975362316835609  0.1012285362903762591525314
  Gauss  quadrature  points  and  weights  order  2n-1=15

9
-0.9681602395076260898355762  0.0812743883615744119718922
-0.8360311073266357942994297  0.1806481606948574040584720
-0.6133714327005903973087020  0.2606106964029354623187429
-0.3242534234038089290385380  0.3123470770400028400686304
0.0000000000000000000000000  0.3302393550012597631645251
0.3242534234038089290385380  0.3123470770400028400686304
0.6133714327005903973087020  0.2606106964029354623187429
0.8360311073266357942994298  0.1806481606948574040584720
0.9681602395076260898355762  0.0812743883615744119718922
  Gauss  quadrature  points  and  weights  order  2n-1=17

10
-0.9739065285171717200779640   0.0666713443086881375935688
-0.8650633666889845107320967  0.1494513491505805931457763
-0.6794095682990244062343274  0.2190863625159820439955349
-0.4333953941292471907992659  0.2692667193099963550912269
-0.1488743389816312108848260  0.2955242247147528701738930
0.1488743389816312108848260  0.2955242247147528701738930
0.4333953941292471907992659  0.2692667193099963550912269
0.6794095682990244062343274  0.2190863625159820439955349
0.8650633666889845107320967  0.1494513491505805931457763
0.9739065285171717200779640  0.0666713443086881375935688
  Gauss  quadrature  points  and  weights  order  2n-1=19

11
-0.9782286581460569928039380  0.0556685671161736664827537
-0.8870625997680952990751578  0.1255803694649046246346943
-0.7301520055740493240934162  0.1862902109277342514260976
-0.5190961292068118159257257  0.2331937645919904799185237
-0.2695431559523449723315320  0.2628045445102466621806889
0.0000000000000000000000000  0.2729250867779006307144835
0.2695431559523449723315320  0.2628045445102466621806889
0.5190961292068118159257257  0.2331937645919904799185237
0.7301520055740493240934163  0.1862902109277342514260980
0.8870625997680952990751578  0.1255803694649046246346940
0.9782286581460569928039380  0.0556685671161736664827537
  Gauss  quadrature  points  and  weights  order  2n-1=21

12
-0.9815606342467192506905491  0.0471753363865118271946160
-0.9041172563704748566784659  0.1069393259953184309602547
-0.7699026741943046870368938  0.1600783285433462263346525
-0.5873179542866174472967024  0.2031674267230659217490645
-0.3678314989981801937526915  0.2334925365383548087608499
-0.1252334085114689154724414  0.2491470458134027850005624
0.1252334085114689154724414  0.2491470458134027850005624
0.3678314989981801937526915  0.2334925365383548087608499
0.5873179542866174472967024  0.2031674267230659217490645
0.7699026741943046870368938  0.1600783285433462263346525
0.9041172563704748566784659  0.1069393259953184309602547
0.9815606342467192506905491  0.0471753363865118271946160
  Gauss  quadrature  points  and  weights  order  2n-1=23

16
-0.9894009349916499325961542  0.0271524594117540948517806
-0.9445750230732325760779884  0.0622535239386478928628438
-0.8656312023878317438804679  0.0951585116824927848099251
-0.7554044083550030338951012  0.1246289712555338720524763
-0.6178762444026437484466718  0.1495959888165767320815017
-0.4580167776572273863424194  0.1691565193950025381893121
-0.2816035507792589132304605  0.1826034150449235888667637
-0.0950125098376374401853193  0.1894506104550684962853967
0.0950125098376374401853193  0.1894506104550684962853967
0.2816035507792589132304605  0.1826034150449235888667637
0.4580167776572273863424194  0.1691565193950025381893121
0.6178762444026437484466718  0.1495959888165767320815017
0.7554044083550030338951012  0.1246289712555338720524763
0.8656312023878317438804679  0.0951585116824927848099251
0.9445750230732325760779884  0.0622535239386478928628438
0.9894009349916499325961542  0.0271524594117540948517806
  Gauss  quadrature  points  and  weights  order  2n-1=31

20
-0.9931285991850949247861224  0.0176140071391521183118620
-0.9639719272779137912676661  0.0406014298003869413310400
-0.9122344282513259058677524  0.0626720483341090635695065
-0.8391169718222188233945291  0.0832767415767047487247581
-0.7463319064601507926143051  0.1019301198172404350367501
-0.6360536807265150254528367  0.1181945319615184173123774
-0.5108670019508270980043641  0.1316886384491766268984945
-0.3737060887154195606725482  0.1420961093183820513292983
-0.2277858511416450780804962  0.1491729864726037467878287
-0.0765265211334973337546404  0.1527533871307258506980843
0.0765265211334973337546404  0.1527533871307258506980843
0.2277858511416450780804962  0.1491729864726037467878287
0.3737060887154195606725482  0.1420961093183820513292983
0.5108670019508270980043641  0.1316886384491766268984945
0.6360536807265150254528367  0.1181945319615184173123774
0.7463319064601507926143051  0.1019301198172404350367501
0.8391169718222188233945291  0.0832767415767047487247581
0.9122344282513259058677524  0.0626720483341090635695065
0.9639719272779137912676661  0.0406014298003869413310400
0.9931285991850949247861224  0.0176140071391521183118620
  Gauss  quadrature  points  and  weights  order  2n-1=39

24
-0.9951872199970213601799974  0.0123412297999871995468057
-0.9747285559713094981983919  0.0285313886289336631813078
-0.9382745520027327585236490  0.0442774388174198061686027
-0.8864155270044010342131543  0.0592985849154367807463678
-0.8200019859739029219539499  0.0733464814110803057340336
-0.7401241915785543642438281  0.0861901615319532759171852
-0.6480936519369755692524958  0.0976186521041138882698807
-0.5454214713888395356583756  0.1074442701159656347825773
-0.4337935076260451384870842  0.1155056680537256013533445
-0.3150426796961633743867933  0.1216704729278033912044632
-0.1911188674736163091586398  0.1258374563468282961213754
-0.0640568928626056260850431  0.1279381953467521569740562
0.0640568928626056260850431  0.1279381953467521569740562
0.1911188674736163091586398  0.1258374563468282961213754
0.3150426796961633743867933  0.1216704729278033912044632
0.4337935076260451384870842  0.1155056680537256013533445
0.5454214713888395356583756  0.1074442701159656347825773
0.6480936519369755692524958  0.0976186521041138882698807
0.7401241915785543642438281  0.0861901615319532759171852
0.8200019859739029219539499  0.0733464814110803057340336
0.8864155270044010342131543  0.0592985849154367807463678
0.9382745520027327585236490  0.0442774388174198061686027
0.9747285559130949819839199  0.0285313886289336631813078
0.9951872199970213601799974  0.0123412297999871995468057
  Gauss  quadrature  points  and  weights  order  2n-1=47

32
-0.9972638618494815635449811  0.0070186100094700966004071
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0.0483076656877383162348126  0.0965400885147278005667648
0.1444719615827964934851864  0.0956387200792748594190820
0.2392873622521370745446032  0.0938443990808045656391802
0.3318686022821276497799168  0.0911738786957638847128686
0.4213512761306353453641194  0.0876520930044038111427715
0.5068999089322293900237475  0.0833119242269467552221991
0.5877157572407623290407455  0.0781938957870703064717409
0.6630442669302152009751152  0.0723457941088485062253994
0.7321821187402896803874267  0.0658222227763618468376501
0.7944837959679424069630973  0.0586840934785355471452836
0.8493676137325699701336930  0.0509980592623761761961632
0.8963211557660521239653072  0.0428358980222266806568787
0.9349060759377396891709191  0.0342738629130214331026877
0.9647622555875064307738119  0.0253920653092620594557526
0.9856115115452683354001750  0.0162743947309056706051706
0.9972638618494815635449811  0.0070186100094700966004071
  Gauss  quadrature  points  and  weights  order  2n-1=63

40
-0.9982377097105592003496227  0.0045212770985331912584717
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0.0387724175060508219331934  0.0775059479784248112637240
0.1160840706752552084834513  0.0770398181642479655883075
0.1926975807013710997155169  0.0761103619006262423715581
0.2681521850072536811411843  0.0747231690579682642001893
0.3419940908257584730074925  0.0728865823958040590605107
0.4137792043716050015248797  0.0706116473912867796954836
0.4830758016861787129085666  0.0679120458152339038256901
0.5494671250951282020759313  0.0648040134566010380745545
0.6125538896679802379526125  0.0613062424929289391665380
0.6719566846141795483793545  0.0574397690993915513666177
0.7273182551899271032809965  0.0532278469839368243549965
0.7783056514265193876949715  0.0486958076350722320614342
0.8246122308333116631963202  0.0438709081856732719916747
0.8659595032122595038207818  0.0387821679744720176399720
0.9020988069688742967282533  0.0334601952825478473926782
0.9328128082786765333608522  0.0279370069800234010984892
0.9579168192137916558045410  0.0222458491941669572615040
0.9772599499837742626633703  0.0164210583819078887128635
0.9907262386994570064530544  0.0104982845311528136147422
0.9982377097105592003496227  0.0045212770985331912584717
  Gauss  quadrature  points  and  weights  order  2n-1=79

48
-0.9987710072524261186005415  0.0031533460523058386326773
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0.0970046992094626989300540  0.0644661644359500822065042
0.1612223560688917180564374  0.0639242385846481866239062
0.2247637903946890612248654  0.0631141922862540256571260
0.2873624873554555767358865  0.0620394231598926639041978
0.3487558862921607381598179  0.0607044391658938800529692
0.4086864819907167299162255  0.0591148396983956357464748
0.4669029047509584045449289  0.0572772921004032157051502
0.5231609747222330336782259  0.0551995036999841628682035
0.5772247260839727038178092  0.0528901894851936670955051
0.6288673967765136239951649  0.0503590355538544749578076
0.6778723796326639052118513  0.0476166584924904748259066
0.7240341309238146546744822  0.0446745608566942804194486
0.7671590325157403392538554  0.0415450829434647492140588
0.8070662040294426270825530  0.0382413510658307063172173
0.8435882616243935307110898  0.0347772225647704388925486
0.8765720202742478859056936  0.0311672278327980889020658
0.9058791367155696728220748  0.0274265097083569482000738
0.9313866907065543331141744  0.0235707608393243791405193
0.9529877031604308607229607  0.0196161604573555278144607
0.9705915925462472504614120  0.0155793157229438487281770
0.9841245837228268577445836  0.0114772345792345394895927
0.9935301722663507575479288  0.0073275539012762621023840
0.9987710072524261186005415  0.0031533460523058386326773
  Gauss  quadrature  points  and  weights  order  2n-1=95

64
-0.9993050417357721394569056  0.0017832807216964329472961
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0.0243502926634244325089558  0.0486909570091397203833654
0.0729931217877990394495429  0.0485754674415034269347991
0.1214628192961205544703765  0.0483447622348029571697695
0.1696444204239928180373136  0.0479993885964583077281262
0.2174236437400070841496487  0.0475401657148303086622822
0.2646871622087674163739642  0.0469681828162100173253263
0.3113228719902109561575127  0.0462847965813144172959532
0.3572201583376681159504426  0.0454916279274181444797710
0.4022701579639916036957668  0.0445905581637565630601347
0.4463660172534640879849477  0.0435837245293234533768279
0.4894031457070529574785263  0.0424735151236535890073398
0.5312794640198945456580139  0.0412625632426235286101563
0.5718956462026340342838781  0.0399537411327203413866569
0.6111553551723932502488530  0.0385501531786156291289625
0.6489654712546573398577612  0.0370551285402400460404151
0.6852363130542332425635584  0.0354722132568823838106931
0.7198818501716108268489402  0.0338051618371416093915655
0.7528199072605318966118638  0.0320579283548515535854675
0.7839723589433414076102205  0.0302346570724024788679741
0.8132653151227975597419233  0.0283396726142594832275113
0.8406292962525803627516915  0.0263774697150546586716918
0.8659993981540928197607834  0.0243527025687108733381776
0.8893154459951141058534040  0.0222701738083832541592983
0.9105221370785028057563807  0.0201348231535302093723403
0.9295691721319395758214902  0.0179517157756973430850453
0.9464113748584028160624815  0.0157260304760247193219660
0.9610087996520537189186141  0.0134630478967186425980608
0.9733268277899109637418535  0.0111681394601311288185900
0.9833362538846259569312993  0.0088467598263639477230309
0.9910133714767443207393824  0.0065044579689783628561174
0.9963401167719552793469245  0.0041470332605624676352875
0.9993050417357721394569056  0.0017832807216964329472961
  Gauss  quadrature  points  and  weights  order  2n-1=127



1
-0.333333333333333  -0.333333333333333  2.000000000000000
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=1

3
-0.666666666666667  -0.666666666666667  0.666666666666667
-0.666666666666667  0.333333333333333  0.666666666666667
0.333333333333333  -0.666666666666667  0.666666666666667
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=2

4
-0.333333333333333  -0.333333333333333  -1.125000000000000
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0.200000000000000  -0.600000000000000  1.041666666666667
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=3

6
-0.108103018168070  -0.108103018168070  0.446763179356022
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0.633695145960918  -0.816847572980458  0.219903487310644
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=4

7
-0.333333333333333  -0.333333333333333  0.450000000000000
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0.594853970706174  -0.797426985353088  0.251878361089654
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=5

12
-0.501426509658180  -0.501426509658180  0.233572551452758
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0.002853019316358  -0.501426509658180  0.233572551452758
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0.747643942033992  -0.873821971016996  0.101689812740414
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0.273004998242798  -0.893709900310366  0.165702151236748
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0.273004998242798  -0.379295097932432  0.165702151236748
-0.893709900310366  0.273004998242798  0.165702151236748
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=6

13
-0.333333333333333  -0.333333333333333  -0.299140088935364
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0.739479588391136  -0.869739794195568  0.106694471217676
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0.276888377139620  -0.902619369149368  0.154227521780514
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0.276888377139620  -0.374269007990252  0.154227521780514
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  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=7

16
-0.333333333333333  -0.333333333333333  0.288631215355574
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0.456984785910808  -0.983210445180084  0.054460628348870
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0.456984785910808  -0.473774340730724  0.054460628348870
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  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=8

19
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0.821081946422190  -0.910540973211094  0.051155351317396
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0.482397197568996  -0.926323175890528  0.086567078754578
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0.482397197568996  -0.556074021678468  0.086567078754578
-0.926323175890528  0.482397197568996  0.086567078754578
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=9

25
-0.333333333333333  -0.333333333333333  0.181635980765508
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0.562073698059852  -0.781036849029926  0.090642118871056
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0.100705883641998  -0.716585561170240  0.145515833690840
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0.100705883641998  -0.384120322471758  0.145515833690840
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0.456647809194822  -0.949992930474628  0.056654485062114
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0.456647809194822  -0.506654878720194  0.056654485062114
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0.847311867175000  -0.980918369199402  0.018843333927466
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0.847311867175000  -0.866393497975600  0.018843333927466
-0.980918369199402  0.847311867175000  0.018843333927466
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=10

27
0.069222096541516  0.069222096541516  0.001854012657922
0.069222096541516  -1.138444193083034  0.001854012657922
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0.186760398274870  -0.593380199137436  0.118645954761548
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0.522596350869674  -0.761298175434838  0.072369081006836
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0.870540207554896  -0.935270103777448  0.027319462005356
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0.186402426856426  -0.899643723379010  0.104674223924408
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0.186402426856426  -0.286758703477414  0.104674223924408
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0.614978006319584  -0.957955966927668  0.041415319278282
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0.614978006319584  -0.657022039391916  0.041415319278282
-0.957955966927668  0.614978006319584  0.041415319278282
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=11

33
-0.023565220452390  -0.023565220452390  0.051462132880910
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0.489695417833656  -0.744847708916828  0.069592225861418
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0.914730598187158  -0.957365299093580  0.012332522103118
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0.217886471559576  -0.769313010930604  0.080743115532762
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0.217886471559576  -0.448573460628972  0.080743115532762
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0.391672173575606  -0.954323335555486  0.044713546404606
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0.391672173575606  -0.437348838020120  0.044713546404606
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0.716028067088146  -0.948531898903340  0.034632462217318
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0.716028067088146  -0.767496168184806  0.034632462217318
-0.948531898903340  0.716028067088146  0.034632462217318
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=12

37
-0.333333333333333  -0.333333333333333  0.105041846801604
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0.082401711828674  -0.541200855914338  0.094727173072710
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0.542302019214680  -0.771151009607340  0.062335058091588
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0.900754434546164  -0.950377217273082  0.015951542930148
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0.272702349123320  -0.462410005882478  0.073696805457464
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0.380338319973810  -0.963798453442386  0.034802926607644
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0.380338319973810  -0.416539866531424  0.034802926607644
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0.702819075668482  -0.955533846651820  0.031043573678090
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0.702819075668482  -0.747285229016662  0.031043573678090
-0.955533846651820  0.702819075668482  0.031043573678090
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=13

42
-0.022072179275642  -0.022072179275642  0.043767162738858
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0.291177870349826  -0.645588935174914  0.084325177473986
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0.752800467636510  -0.876400233818254  0.028867399339554
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0.9224361550051960  -0.961218077502598  0.009846807204800
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0.541217109549992  -0.885750485192704  0.049331506425128
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0.541217109549992  -0.655466624357288  0.049331506425128
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0.140444581693366  -0.814167501286056  0.077143021574122
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0.140444581693366  -0.326277080407310  0.077143021574122
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0.373960335616176  -0.970706099888692  0.028872616227068
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0.373960335616176  -0.403254235727484  0.028872616227068
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0.759514342740342  -0.762051004606086  0.010020457677002
-0.997463338134256  0.759514342740342  0.010020457677002
  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=14

48
0.013945833716486  0.013945833716486  0.003833751285698
0.013945833716486  -1.027891667432972  0.003833751285698
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0.151173111025628  -0.223906465819462  0.054431628641248
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  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=15

52
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  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=16

61
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  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=17

70
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  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=18

73
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  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=19

79
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0.473213486525732  -0.972052212075216  0.016942182108882
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0.473213486525732  -0.501161274450516  0.016942182108882
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0.423350284574868  -0.848901734180472  0.036709828212560
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0.423350284574868  -0.574448550394396  0.036709828212560
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0.722805434309974  -1.016736306416454  0.001408809355816
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0.722805434309974  -0.706069127893522  0.001408809355816
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0.671173915824726  -0.946627873482572  0.020225369854924
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0.671173915824726  -0.724546042342154  0.020225369854924
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0.859512343113706  -0.978904561411718  0.007147818771900
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0.859512343113706  -0.880607781701986  0.007147818771900
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  Gauss  quadrature  points  and  weights  on  the  reference  triangle  order  p=20



1
0.000000000000000  0.000000000000000  4.000000000000000
  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=0  1

4
0.577350269189626  0.577350269189626  1.000000000000000
0.577350269189626  -0.577350269189626  1.000000000000000
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  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=2  3

8
0.683130051063973  0.000000000000000  0.816326530612245
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0.000000000000000  0.683130051063973  0.816326530612245
0.000000000000000  -0.683130051063973  0.816326530612245
0.881917103688197  0.881917103688197  0.183673469387755
0.881917103688197  -0.881917103688197  0.183673469387755
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  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=4  5

12
0.925820099772551  0.000000000000000  0.241975308641975
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0.000000000000000  0.925820099772551  0.241975308641975
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0.805979782918599  -0.805979782918599  0.237431774690630
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0.380554433208316  0.380554433208316  0.520592916667394
0.380554433208316  -0.380554433208316  0.520592916667394
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  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=6  7

20
1.121225763866564  0.000000000000000  0.018475842507491
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0.000000000000000  1.121225763866564  0.018475842507491
0.000000000000000  -1.121225763866564  0.018475842507491
0.451773049920657  0.000000000000000  0.390052939160735
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0.000000000000000  0.451773049920657  0.390052939160735
0.000000000000000  -0.451773049920657  0.390052939160735
0.891849420851512  0.891849420851512  0.083095178026482
0.891849420851512  -0.891849420851512  0.083095178026482
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0.824396370749276  0.411623426336542  0.254188020152646
0.824396370749276  -0.411623426336542  0.254188020152646
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0.411623426336542  0.824396370749276  0.254188020152646
0.411623426336542  -0.824396370749276  0.254188020152646
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  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=8  9

25
0.000000000000000  0.000000000000000  0.365379525585903
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0.000000000000000  1.044402915409813  0.027756165564204
0.000000000000000  -1.044402915409813  0.027756165564204
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0.000000000000000  0.769799068396649  0.244272057751754
0.000000000000000  -0.769799068396649  0.244272057751754
0.935787012440540  0.935787012440540  0.034265103851229
0.935787012440540  -0.935787012440540  0.034265103851229
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0.413491953449114  0.413491953449114  0.308993036133713
0.413491953449114  -0.413491953449114  0.308993036133713
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0.883025508525690  0.575653595840465  0.146684377651312
0.883025508525690  -0.575653595840465  0.146684377651312
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0.575653595840465  0.883025508525690  0.146684377651312
0.575653595840465  -0.883025508525690  0.146684377651312
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  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=10  11

36
1.086056158573971  0.000000000000000  0.005656169693764
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1.001300602991729  1.001300602991729  0.005166832979773
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0.584636168775946  0.584636168775946  0.200302559622138
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0.246795612720261  0.246795612720261  0.228125175912536
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0.900258815287201  0.304720678579870  0.117496926974491
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0.304720678579870  0.900258815287201  0.117496926974491
0.304720678579870  -0.900258815287201  0.117496926974491
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0.929866705560780  0.745052720131169  0.066655770186205
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0.745052720131169  0.929866705560780  0.066655770186205
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  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=12  13

45
0.000000000000000  0.000000000000000  -0.001768979827207
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0.928618480068352  0.455124178121179  0.076169694452294
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0.455124178121179  0.928618480068352  0.076169694452294
0.455124178121179  -0.928618480068352  0.076169694452294
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0.809863684081217  0.960457474887516  0.028794154400064
0.809863684081217  -0.960457474887516  0.028794154400064
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  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=14  15

60
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0.597972451929457  0.799079131916863  0.083903279363798
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  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=16  17

72
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0.203345534163332  0.802952004398543  0.078619467342982
0.203345534163332  -0.802952004398543  0.078619467342982
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0.634244672807882  0.426572172992877  0.094979169511394
0.634244672807882  -0.426572172992877  0.094979169511394
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0.426572172992877  0.634244672807882  0.094979169511394
0.426572172992877  -0.634244672807882  0.094979169511394
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0.978350706908227  0.295830776620995  0.022331162356015
0.978350706908227  -0.295830776620995  0.022331162356015
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0.295830776620995  0.978350706908227  0.022331162356015
0.295830776620995  -0.978350706908227  0.022331162356015
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0.901672717710389  0.541983037327871  0.055594877793785
0.901672717710389  -0.541983037327871  0.055594877793785
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0.541983037327871  0.901672717710389  0.055594877793785
0.541983037327871  -0.901672717710389  0.055594877793785
-0.541983037327871  0.901672717710389  0.055594877793785
-0.541983037327871  -0.901672717710389  0.055594877793785
1.007018449383116  0.669414798783936  0.006049054506376
1.007018449383116  -0.669414798783936  0.006049054506376
-1.007018449383116  0.669414798783936  0.006049054506376
-1.007018449383116  -0.669414798783936  0.006049054506376
0.669414798783936  1.007018449383116  0.006049054506376
0.669414798783936  -1.007018449383116  0.006049054506376
-0.669414798783936  1.007018449383116  0.006049054506376
-0.669414798783936  -1.007018449383116  0.006049054506376
0.945161453573471  0.829501421477824  0.024839207949609
0.945161453573471  -0.829501421477824  0.024839207949609
-0.945161453573471  0.829501421477824  0.024839207949609
-0.945161453573471  -0.829501421477824  0.024839207949609
0.829501421477824  0.945161453573471  0.024839207949609
0.829501421477824  -0.945161453573471  0.024839207949609
-0.829501421477824  0.945161453573471  0.024839207949609
-0.829501421477824  -0.945161453573471  0.024839207949609
  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=18  19

88
0.980883148832881  0.000000000000000  0.019503841092684
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0.000000000000000  0.980883148832881  0.019503841092684
0.000000000000000  -0.980883148832881  0.019503841092684
0.678152700336576  0.000000000000000  0.089012127744268
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0.000000000000000  0.678152700336576  0.089012127744268
0.000000000000000  -0.678152700336576  0.089012127744268
0.240599282275864  0.000000000000000  0.114568584702749
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0.000000000000000  0.240599282275864  0.114568584702749
0.000000000000000  -0.240599282275864  0.114568584702749
0.965176994929162  0.965176994929162  0.007463627359106
0.965176994929162  -0.965176994929162  0.007463627359106
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0.749698539312765  0.749698539312765  0.050585943594705
0.749698539312765  -0.749698539312765  0.050585943594705
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0.568983925500818  0.568983925500818  0.074613865184212
0.568983925500818  -0.568983925500818  0.074613865184212
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0.971086142843168  0.355832132274584  0.023501091310143
0.971086142843168  -0.355832132274584  0.023501091310143
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0.355832132274584  0.971086142843168  0.023501091310143
0.355832132274584  -0.971086142843168  0.023501091310143
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0.983453947854968  0.645588139196562  0.011588562644144
0.983453947854968  -0.645588139196562  0.011588562644144
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0.645588139196562  0.983453947854968  0.011588562644144
0.645588139196562  -0.983453947854968  0.011588562644144
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0.933927707027213  0.821920249234369  0.023073245798171
0.933927707027213  -0.821920249234369  0.023073245798171
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0.821920249234369  0.933927707027213  0.023073245798171
0.821920249234369  -0.933927707027213  0.023073245798171
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1.014086498915039  0.862185099566557  0.001570221774472
1.014086498915039  -0.862185099566557  0.001570221774472
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0.862185099566557  1.014086498915039  0.001570221774472
0.862185099566557  -1.014086498915039  0.001570221774472
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0.877914842155496  0.168914072450263  0.049102258016227
0.877914842155496  -0.168914072450263  0.049102258016227
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0.168914072450263  0.877914842155496  0.049102258016227
0.168914072450263  -0.877914842155496  0.049102258016227
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0.882246882640128  0.568113580166780  0.042512352239126
0.882246882640128  -0.568113580166780  0.042512352239126
-0.882246882640128  0.568113580166780  0.042512352239126
-0.882246882640128  -0.568113580166780  0.042512352239126
0.568113580166780  0.882246882640128  0.042512352239126
0.568113580166780  -0.882246882640128  0.042512352239126
-0.568113580166780  0.882246882640128  0.042512352239126
-0.568113580166780  -0.882246882640128  0.042512352239126
0.741324453314596  0.371360260002223  0.067270936863160
0.741324453314596  -0.371360260002223  0.067270936863160
-0.741324453314596  0.371360260002223  0.067270936863160
-0.741324453314596  -0.371360260002223  0.067270936863160
0.371360260002223  0.741324453314596  0.067270936863160
0.371360260002223  -0.741324453314596  0.067270936863160
-0.371360260002223  0.741324453314596  0.067270936863160
-0.371360260002223  -0.741324453314596  0.067270936863160
0.469570217710647  0.237333359193547  0.103507336515645
0.469570217710647  -0.237333359193547  0.103507336515645
-0.469570217710647  0.237333359193547  0.103507336515645
-0.469570217710647  -0.237333359193547  0.103507336515645
0.237333359193547  0.469570217710647  0.103507336515645
0.237333359193547  -0.469570217710647  0.103507336515645
-0.237333359193547  0.469570217710647  0.103507336515645
-0.237333359193547  -0.469570217710647  0.103507336515645
  Gauss  quadrature  points  and  weights  on  the  reference  quadrilateral  order  p=20  21


1
0.000000000000000  0.000000000000000  0.000000000000000  8.000000000000000
  Gauss  quadrature  points  and  weights  on  the  reference  cube  order  p=0  1

6
1.000000000000000  0.000000000000000  0.000000000000000  1.333333333333333
-1.000000000000000  0.000000000000000  0.000000000000000  1.333333333333333
0.000000000000000  1.000000000000000  0.000000000000000  1.333333333333333
0.000000000000000  -1.000000000000000  0.000000000000000  1.333333333333333
0.000000000000000  0.000000000000000  1.000000000000000  1.333333333333333
0.000000000000000  0.000000000000000  -1.000000000000000  1.333333333333333
  Gauss  quadrature  points  and  weights  on  the  reference  cube  order  p=2  3

14
0.795822425754221  0.000000000000000  0.000000000000000  0.886426592797784
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0.000000000000000  0.795822425754221  0.000000000000000  0.886426592797784
0.000000000000000  -0.795822425754221  0.000000000000000  0.886426592797784
0.000000000000000  0.000000000000000  0.795822425754221  0.886426592797784
0.000000000000000  0.000000000000000  -0.795822425754221  0.886426592797784
0.758786910639328  0.758786910639328  0.758786910639328  0.335180055401662
0.758786910639328  -0.758786910639328  0.758786910639328  0.335180055401662
0.758786910639328  0.758786910639328  -0.758786910639328  0.335180055401662
0.758786910639328  -0.758786910639328  -0.758786910639328  0.335180055401662
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-0.758786910639328  -0.758786910639328  0.758786910639328  0.335180055401662
-0.758786910639328  0.758786910639328  -0.758786910639328  0.335180055401662
-0.758786910639328  -0.758786910639328  -0.758786910639328  0.335180055401662
  Gauss  quadrature  points  and  weights  on  the  reference  cube  order  p=4  5

27
0.000000000000000  0.000000000000000  0.000000000000000  0.788073482744211
0.848418011472252  0.000000000000000  0.000000000000000  0.499369002307720
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0.000000000000000  0.848418011472252  0.000000000000000  0.499369002307720
0.000000000000000  -0.848418011472252  0.000000000000000  0.499369002307720
0.000000000000000  0.000000000000000  0.848418011472252  0.499369002307720
0.000000000000000  0.000000000000000  -0.848418011472252  0.499369002307720
0.652816472101691  0.652816472101691  0.652816472101691  0.478508449425127
0.652816472101691  -0.652816472101691  0.652816472101691  0.478508449425127
0.652816472101691  0.652816472101691  -0.652816472101691  0.478508449425127
0.652816472101691  -0.652816472101691  -0.652816472101691  0.478508449425127
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-0.652816472101691  -0.652816472101691  -0.652816472101691  0.478508449425127
0.000000000000000  1.106412898626718  1.106412898626718  0.032303742334037
0.000000000000000  -1.106412898626718  1.106412898626718  0.032303742334037
0.000000000000000  1.106412898626718  -1.106412898626718  0.032303742334037
0.000000000000000  -1.106412898626718  -1.106412898626718  0.032303742334037
1.106412898626718  0.000000000000000  1.106412898626718  0.032303742334037
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1.106412898626718  0.000000000000000  -1.106412898626718  0.032303742334037
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1.106412898626718  1.106412898626718  0.000000000000000  0.032303742334037
-1.106412898626718  1.106412898626718  0.000000000000000  0.032303742334037
1.106412898626718  -1.106412898626718  0.000000000000000  0.032303742334037
-1.106412898626718  -1.106412898626718  0.000000000000000  0.032303742334037
  Gauss  quadrature  points  and  weights  on  the  reference  cube  order  p=6  7

53
0.000000000000000  0.000000000000000  0.000000000000000  0.588405321380412
1.064082230328777  0.000000000000000  0.000000000000000  -0.152097068487023
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0.000000000000000  1.064082230328777  0.000000000000000  -0.152097068487023
0.000000000000000  -1.064082230328777  0.000000000000000  -0.152097068487023
0.000000000000000  0.000000000000000  1.064082230328777  -0.152097068487023
0.000000000000000  0.000000000000000  -1.064082230328777  -0.152097068487023
0.905830033000216  0.000000000000000  0.000000000000000  0.369012523996709
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0.000000000000000  0.905830033000216  0.000000000000000  0.369012523996709
0.000000000000000  -0.905830033000216  0.000000000000000  0.369012523996709
0.000000000000000  0.000000000000000  0.905830033000216  0.369012523996709
0.000000000000000  0.000000000000000  -0.905830033000216  0.369012523996709
0.817286490798906  0.817286490798906  0.817286490798906  0.104007450974435
0.817286490798906  -0.817286490798906  0.817286490798906  0.104007450974435
0.817286490798906  0.817286490798906  -0.817286490798906  0.104007450974435
0.817286490798906  -0.817286490798906  -0.817286490798906  0.104007450974435
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-0.817286490798906  -0.817286490798906  -0.817286490798906  0.104007450974435
0.501292956337400  0.501292956337400  0.501292956337400  0.380660357224238
0.501292956337400  -0.501292956337400  0.501292956337400  0.380660357224238
0.501292956337400  0.501292956337400  -0.501292956337400  0.380660357224238
0.501292956337400  -0.501292956337400  -0.501292956337400  0.380660357224238
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-0.501292956337400  -0.501292956337400  -0.501292956337400  0.380660357224238
1.017168937265364  0.650007853956632  0.000000000000000  0.0930316449988371
1.017168937265364  -0.650007853956632  0.000000000000000  0.0930316449988371
0.650007853956632  1.017168937265364  0.000000000000000  0.0930316449988371
-0.650007853956632  1.017168937265364  0.000000000000000  0.0930316449988371
-1.017168937265364  0.650007853956632  0.000000000000000  0.0930316449988371
-1.017168937265364  -0.650007853956632  0.000000000000000  0.0930316449988371
0.650007853956632  -1.017168937265364  0.000000000000000  0.0930316449988371
-0.650007853956632  -1.017168937265364  0.000000000000000  0.0930316449988371
0.000000000000000  0.650007853956632  1.017168937265364  0.0930316449988371
0.000000000000000  -0.650007853956632  1.017168937265364  0.0930316449988371
0.000000000000000  1.017168937265364  0.650007853956632  0.0930316449988371
0.000000000000000  1.017168937265364  -0.650007853956632  0.0930316449988371
0.000000000000000  0.650007853956632  -1.017168937265364  0.0930316449988371
0.000000000000000  -0.650007853956632  -1.017168937265364  0.0930316449988371
0.000000000000000  -1.017168937265364  0.650007853956632  0.0930316449988371
0.000000000000000  -1.017168937265364  -0.650007853956632  0.0930316449988371
1.017168937265364  0.000000000000000  0.650007853956632  0.0930316449988371
1.017168937265364  0.000000000000000  -0.650007853956632  0.0930316449988371
0.650007853956632  0.000000000000000  1.017168937265364  0.0930316449988371
-0.650007853956632  0.000000000000000  1.017168937265364  0.0930316449988371
-1.017168937265364  0.000000000000000  0.650007853956632  0.0930316449988371
-1.017168937265364  0.000000000000000  -0.650007853956632  0.0930316449988371
0.650007853956632  0.000000000000000  -1.017168937265364  0.0930316449988371
-0.650007853956632  0.000000000000000  -1.017168937265364  0.0930316449988371
  Gauss  quadrature  points  and  weights  on  the  reference  cube  order  p=8  9

89
0.000000000000000  0.000000000000000  0.000000000000000  -0.729841346362385
1.044892251909493  0.000000000000000  0.000000000000000  -0.295542895787525
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0.000000000000000  1.044892251909493  0.000000000000000  -0.295542895787525
0.000000000000000  -1.044892251909493  0.000000000000000  -0.295542895787525
0.000000000000000  0.000000000000000  1.044892251909493  -0.295542895787525
0.000000000000000  0.000000000000000  -1.044892251909493  -0.295542895787525
1.128826539781045  0.000000000000000  0.000000000000000  0.075281719493673
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0.000000000000000  1.128826539781045  0.000000000000000  0.075281719493673
0.000000000000000  -1.128826539781045  0.000000000000000  0.075281719493673
0.000000000000000  0.000000000000000  1.128826539781045  0.075281719493673
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0.990340675813395  0.853891500333261  0.703401752648627  0.004492075519908
0.990340675813395  0.853891500333261  -0.703401752648627  0.004492075519908
0.990340675813395  0.703401752648627  0.853891500333261  0.004492075519908
0.990340675813395  -0.703401752648627  0.853891500333261  0.004492075519908
0.990340675813395  -0.853891500333261  0.703401752648627  0.004492075519908
0.990340675813395  -0.853891500333261  -0.703401752648627  0.004492075519908
0.990340675813395  0.703401752648627  -0.853891500333261  0.004492075519908
0.990340675813395  -0.703401752648627  -0.853891500333261  0.004492075519908
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0.703401752648627  0.853891500333261  0.990340675813395  0.004492075519908
0.703401752648627  0.853891500333261  -0.990340675813395  0.004492075519908
0.703401752648627  0.990340675813395  0.853891500333261  0.004492075519908
0.703401752648627  -0.990340675813395  0.853891500333261  0.004492075519908
0.703401752648627  -0.853891500333261  0.990340675813395  0.004492075519908
0.703401752648627  -0.853891500333261  -0.990340675813395  0.004492075519908
0.703401752648627  0.990340675813395  -0.853891500333261  0.004492075519908
0.703401752648627  -0.990340675813395  -0.853891500333261  0.004492075519908
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-0.703401752648627  0.853891500333261  -0.990340675813395  0.004492075519908
-0.703401752648627  0.990340675813395  0.853891500333261  0.004492075519908
-0.703401752648627  -0.990340675813395  0.853891500333261  0.004492075519908
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-0.703401752648627  -0.853891500333261  -0.990340675813395  0.004492075519908
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-0.703401752648627  -0.990340675813395  -0.853891500333261  0.004492075519908
0.946965100974417  0.623429573213959  0.361644847592954  0.020564739563048
0.946965100974417  0.623429573213959  -0.361644847592954  0.020564739563048
0.946965100974417  0.361644847592954  0.623429573213959  0.020564739563048
0.946965100974417  -0.361644847592954  0.623429573213959  0.020564739563048
0.946965100974417  -0.623429573213959  0.361644847592954  0.020564739563048
0.946965100974417  -0.623429573213959  -0.361644847592954  0.020564739563048
0.946965100974417  0.361644847592954  -0.623429573213959  0.020564739563048
0.946965100974417  -0.361644847592954  -0.623429573213959  0.020564739563048
-0.946965100974417  0.623429573213959  0.361644847592954  0.020564739563048
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0.623429573213959  0.946965100974417  0.361644847592954  0.020564739563048
0.623429573213959  0.946965100974417  -0.361644847592954  0.020564739563048
0.623429573213959  0.361644847592954  0.946965100974417  0.020564739563048
0.623429573213959  -0.361644847592954  0.946965100974417  0.020564739563048
0.623429573213959  -0.946965100974417  0.361644847592954  0.020564739563048
0.623429573213959  -0.946965100974417  -0.361644847592954  0.020564739563048
0.623429573213959  0.361644847592954  -0.946965100974417  0.020564739563048
0.623429573213959  -0.361644847592954  -0.946965100974417  0.020564739563048
-0.623429573213959  0.946965100974417  0.361644847592954  0.020564739563048
-0.623429573213959  0.946965100974417  -0.361644847592954  0.020564739563048
-0.623429573213959  0.361644847592954  0.946965100974417  0.020564739563048
-0.623429573213959  -0.361644847592954  0.946965100974417  0.020564739563048
-0.623429573213959  -0.946965100974417  0.361644847592954  0.020564739563048
-0.623429573213959  -0.946965100974417  -0.361644847592954  0.020564739563048
-0.623429573213959  0.361644847592954  -0.946965100974417  0.020564739563048
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0.361644847592954  0.946965100974417  0.623429573213959  0.020564739563048
0.361644847592954  0.946965100974417  -0.623429573213959  0.020564739563048
0.361644847592954  0.623429573213959  0.946965100974417  0.020564739563048
0.361644847592954  -0.623429573213959  0.946965100974417  0.020564739563048
0.361644847592954  -0.946965100974417  0.623429573213959  0.020564739563048
0.361644847592954  -0.946965100974417  -0.623429573213959  0.020564739563048
0.361644847592954  0.623429573213959  -0.946965100974417  0.020564739563048
0.361644847592954  -0.623429573213959  -0.946965100974417  0.020564739563048
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-0.361644847592954  0.946965100974417  -0.623429573213959  0.020564739563048
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-0.361644847592954  -0.946965100974417  -0.623429573213959  0.020564739563048
-0.361644847592954  0.623429573213959  -0.946965100974417  0.020564739563048
-0.361644847592954  -0.623429573213959  -0.946965100974417  0.020564739563048
0.754378926224437  0.538990774213829  0.258107746839302  0.039008180977840
0.754378926224437  0.538990774213829  -0.258107746839302  0.039008180977840
0.754378926224437  0.258107746839302  0.538990774213829  0.039008180977840
0.754378926224437  -0.258107746839302  0.538990774213829  0.039008180977840
0.754378926224437  -0.538990774213829  0.258107746839302  0.039008180977840
0.754378926224437  -0.538990774213829  -0.258107746839302  0.039008180977840
0.754378926224437  0.258107746839302  -0.538990774213829  0.039008180977840
0.754378926224437  -0.258107746839302  -0.538990774213829  0.039008180977840
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-0.754378926224437  0.538990774213829  -0.258107746839302  0.039008180977840
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-0.754378926224437  -0.258107746839302  0.538990774213829  0.039008180977840
-0.754378926224437  -0.538990774213829  0.258107746839302  0.039008180977840
-0.754378926224437  -0.538990774213829  -0.258107746839302  0.039008180977840
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-0.754378926224437  -0.258107746839302  -0.538990774213829  0.039008180977840
0.538990774213829  0.754378926224437  0.258107746839302  0.039008180977840
0.538990774213829  0.754378926224437  -0.258107746839302  0.039008180977840
0.538990774213829  0.258107746839302  0.754378926224437  0.039008180977840
0.538990774213829  -0.258107746839302  0.754378926224437  0.039008180977840
0.538990774213829  -0.754378926224437  0.258107746839302  0.039008180977840
0.538990774213829  -0.754378926224437  -0.258107746839302  0.039008180977840
0.538990774213829  0.258107746839302  -0.754378926224437  0.039008180977840
0.538990774213829  -0.258107746839302  -0.754378926224437  0.039008180977840
-0.538990774213829  0.754378926224437  0.258107746839302  0.039008180977840
-0.538990774213829  0.754378926224437  -0.258107746839302  0.039008180977840
-0.538990774213829  0.258107746839302  0.754378926224437  0.039008180977840
-0.538990774213829  -0.258107746839302  0.754378926224437  0.039008180977840
-0.538990774213829  -0.754378926224437  0.258107746839302  0.039008180977840
-0.538990774213829  -0.754378926224437  -0.258107746839302  0.039008180977840
-0.538990774213829  0.258107746839302  -0.754378926224437  0.039008180977840
-0.538990774213829  -0.258107746839302  -0.754378926224437  0.039008180977840
0.258107746839302  0.754378926224437  0.538990774213829  0.039008180977840
0.258107746839302  0.754378926224437  -0.538990774213829  0.039008180977840
0.258107746839302  0.538990774213829  0.754378926224437  0.039008180977840
0.258107746839302  -0.538990774213829  0.754378926224437  0.039008180977840
0.258107746839302  -0.754378926224437  0.538990774213829  0.039008180977840
0.258107746839302  -0.754378926224437  -0.538990774213829  0.039008180977840
0.258107746839302  0.538990774213829  -0.754378926224437  0.039008180977840
0.258107746839302  -0.538990774213829  -0.754378926224437  0.039008180977840
-0.258107746839302  0.754378926224437  0.538990774213829  0.039008180977840
-0.258107746839302  0.754378926224437  -0.538990774213829  0.039008180977840
-0.258107746839302  0.538990774213829  0.754378926224437  0.039008180977840
-0.258107746839302  -0.538990774213829  0.754378926224437  0.039008180977840
-0.258107746839302  -0.754378926224437  0.538990774213829  0.039008180977840
-0.258107746839302  -0.754378926224437  -0.538990774213829  0.039008180977840
-0.258107746839302  0.538990774213829  -0.754378926224437  0.039008180977840
-0.258107746839302  -0.538990774213829  -0.754378926224437  0.039008180977840
  Gauss  quadrature  points  and  weights  on  the  reference  cube  order  p=18  19



1
-0.500000000000000  -0.500000000000000  -0.500000000000000  1.333333333333333
  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=1

4
-0.723606797749979  -0.723606797749979  -0.723606797749979  0.333333333333333
0.170820393249937  -0.723606797749979  -0.723606797749979  0.333333333333333
-0.723606797749979  0.170820393249937  -0.723606797749979  0.333333333333333
-0.723606797749979  -0.723606797749979  0.170820393249937  0.333333333333333
  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=2

5
-0.500000000000000  -0.500000000000000  -0.500000000000000  -1.066666666666667
-0.666666666666667  -0.666666666666667  -0.666666666666667  0.600000000000000
-0.666666666666667  -0.666666666666667  0.000000000000000  0.600000000000000
-0.666666666666667  0.000000000000000  -0.666666666666667  0.600000000000000
0.000000000000000  -0.666666666666667  -0.666666666666667  0.600000000000000
  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=3

11
-0.500000000000000  -0.500000000000000  -0.500000000000000  -0.105244444444444
-0.857142857142857  -0.857142857142857  -0.857142857142857  0.060977777777778
-0.857142857142857  -0.857142857142857  0.571428571428571  0.060977777777778
-0.857142857142857  0.571428571428571  -0.857142857142857  0.060977777777778
0.571428571428571  -0.857142857142857  -0.857142857142857  0.060977777777778
-0.201192847666402  -0.201192847666402  -0.798807152333598  0.199111111111111
-0.201192847666402  -0.798807152333598  -0.201192847666402  0.199111111111111
-0.798807152333598  -0.201192847666402  -0.201192847666402  0.199111111111111
-0.201192847666402  -0.798807152333598  -0.798807152333598  0.199111111111111
-0.798807152333598  -0.201192847666402  -0.798807152333598  0.199111111111111
-0.798807152333598  -0.798807152333598  -0.201192847666402  0.199111111111111
  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=4

14
-0.814529499378218  -0.814529499378218  -0.814529499378218  0.097990724155149
0.443588498134653  -0.814529499378218  -0.814529499378218  0.097990724155149
-0.814529499378218  0.443588498134653  -0.814529499378218  0.097990724155149
-0.814529499378218  -0.814529499378218  0.443588498134653  0.097990724155149
-0.378228161473399  -0.378228161473399  -0.378228161473399  0.150250567624021
-0.865315515579804  -0.378228161473399  -0.378228161473399  0.150250567624021
-0.378228161473399  -0.865315515579804  -0.378228161473399  0.150250567624021
-0.378228161473399  -0.378228161473399  -0.865315515579804  0.150250567624021
-0.091007408251299  -0.091007408251299  -0.908992591748701  0.056728027702775
-0.091007408251299  -0.908992591748701  -0.091007408251299  0.056728027702775
-0.908992591748701  -0.091007408251299  -0.091007408251299  0.056728027702775
-0.091007408251299  -0.908992591748701  -0.908992591748701  0.056728027702775
-0.908992591748701  -0.091007408251299  -0.908992591748701  0.056728027702775
-0.908992591748701  -0.908992591748701  -0.091007408251299  0.056728027702775
  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=5

24
-0.570794257481696  -0.570794257481696  -0.570794257481696  0.053230333677557
-0.287617227554912  -0.570794257481696  -0.570794257481696  0.053230333677557
-0.570794257481696  -0.287617227554912  -0.570794257481696  0.053230333677557
-0.570794257481696  -0.570794257481696  -0.287617227554912  0.053230333677557
-0.918652082930777  -0.918652082930777  -0.918652082930777  0.013436281407094
0.755956248792332  -0.918652082930777  -0.918652082930777  0.013436281407094
-0.918652082930777  0.755956248792332  -0.918652082930777  0.013436281407094
-0.918652082930777  -0.918652082930777  0.755956248792332  0.013436281407094
-0.355324219715449  -0.355324219715449  -0.355324219715449  0.073809575391540
-0.934027340853653  -0.355324219715449  -0.355324219715449  0.073809575391540
-0.355324219715449  -0.934027340853653  -0.355324219715449  0.073809575391540
-0.355324219715449  -0.355324219715449  -0.934027340853653  0.073809575391540
-0.872677996249965  -0.872677996249965  -0.460655337083368  0.064285714285714
-0.872677996249965  -0.460655337083368  -0.872677996249965  0.064285714285714
-0.872677996249965  -0.872677996249965  0.206011329583298  0.064285714285714
-0.872677996249965  0.206011329583298  -0.872677996249965  0.064285714285714
-0.872677996249965  -0.460655337083368  0.206011329583298  0.064285714285714
-0.872677996249965  0.206011329583298  -0.460655337083368  0.064285714285714
-0.460655337083368  -0.872677996249965  -0.872677996249965  0.064285714285714
-0.460655337083368  -0.872677996249965  0.206011329583298  0.064285714285714
-0.460655337083368  0.206011329583298  -0.872677996249965  0.064285714285714
0.206011329583298  -0.872677996249965  -0.460655337083368  0.064285714285714
0.206011329583298  -0.872677996249965  -0.872677996249965  0.064285714285714
0.206011329583298  -0.460655337083368  -0.872677996249965  0.064285714285714
  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=6

31
0.000000000000000  0.000000000000000  -1.000000000000000  0.007760141093474
0.000000000000000  -1.000000000000000  0.000000000000000  0.007760141093474
-1.000000000000000  0.000000000000000  0.000000000000000  0.007760141093474
-1.000000000000000  -1.000000000000000  0.000000000000000  0.007760141093474
-1.000000000000000  0.000000000000000  -1.000000000000000  0.007760141093474
0.000000000000000  -1.000000000000000  -1.000000000000000  0.007760141093474
-0.500000000000000  -0.500000000000000  -0.500000000000000  0.146113787728871
-0.843573615339364  -0.843573615339364  -0.843573615339364  0.084799532195309
-0.843573615339364  -0.843573615339364  0.530720846018092  0.084799532195309
-0.843573615339364  0.530720846018092  -0.843573615339364  0.084799532195309
0.530720846018092  -0.843573615339364  -0.843573615339364  0.084799532195309
-0.756313566672190  -0.756313566672190  -0.756313566672190  -0.500141920914655
-0.756313566672190  -0.756313566672190  0.268940700016569  -0.500141920914655
-0.756313566672190  0.268940700016569  -0.756313566672190  -0.500141920914655
0.268940700016569  -0.756313566672190  -0.756313566672190  -0.500141920914655
-0.334921671107159  -0.334921671107159  -0.334921671107159  0.039131402104588
-0.334921671107159  -0.334921671107159  -0.995234986678524  0.039131402104588
-0.334921671107159  -0.995234986678524  -0.334921671107159  0.039131402104588
-0.995234986678524  -0.334921671107159  -0.334921671107159  0.039131402104588
-0.800000000000000  -0.800000000000000  -0.600000000000000  0.220458553791887
-0.800000000000000  -0.600000000000000  -0.800000000000000  0.220458553791887
-0.800000000000000  -0.800000000000000  0.200000000000000  0.220458553791887
-0.800000000000000  0.200000000000000  -0.800000000000000  0.220458553791887
-0.800000000000000  -0.600000000000000  0.200000000000000  0.220458553791887
-0.800000000000000  0.200000000000000  -0.600000000000000  0.220458553791887
-0.600000000000000  -0.800000000000000  -0.800000000000000  0.220458553791887
-0.600000000000000  -0.800000000000000  0.200000000000000  0.220458553791887
-0.600000000000000  0.200000000000000  -0.800000000000000  0.220458553791887
0.200000000000000  -0.800000000000000  -0.600000000000000  0.220458553791887
0.200000000000000  -0.800000000000000  -0.800000000000000  0.220458553791887
0.200000000000000  -0.600000000000000  -0.800000000000000  0.220458553791887
  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=7

43
-0.500000000000000  -0.500000000000000  -0.500000000000000  -0.164001509269119
-0.586340136778654  -0.586340136778654  -0.586340136778654  0.114002446582935
-0.586340136778654  -0.586340136778654  -0.240979589664039  0.114002446582935
-0.586340136778654  -0.240979589664039  -0.586340136778654  0.114002446582935
-0.240979589664039  -0.586340136778654  -0.586340136778654  0.114002446582935
-0.835792823378907  -0.835792823378907  -0.835792823378907  0.015736266505071
-0.835792823378907  -0.835792823378907  0.507378470136720  0.015736266505071
-0.835792823378907  0.507378470136720  -0.835792823378907  0.015736266505071
0.507378470136720  -0.835792823378907  -0.835792823378907  0.015736266505071
-0.988436098989604  -0.988436098989604  -0.988436098989604  0.001358672872743
-0.988436098989604  -0.988436098989604  0.965308296968812  0.001358672872743
-0.988436098989604  0.965308296968812  -0.988436098989604  0.001358672872743
0.965308296968812  -0.988436098989604  -0.988436098989604  0.001358672872743
-0.898934519962212  -0.898934519962212  -0.101065480037788  0.036637470595738
-0.898934519962212  -0.101065480037788  -0.898934519962212  0.036637470595738
-0.101065480037788  -0.898934519962212  -0.898934519962212  0.036637470595738
-0.898934519962212  -0.101065480037788  -0.101065480037788  0.036637470595738
-0.101065480037788  -0.898934519962212  -0.101065480037788  0.036637470595738
-0.101065480037788  -0.101065480037788  -0.898934519962212  0.036637470595738
-0.541866927766378  -0.541866927766378  -0.928720834422932  0.045635886469455
-0.541866927766378  -0.928720834422932  -0.541866927766378  0.045635886469455
-0.541866927766378  -0.541866927766378  0.012454689955687  0.045635886469455
-0.541866927766378  0.012454689955687  -0.541866927766378  0.045635886469455
-0.541866927766378  -0.928720834422932  0.012454689955687  0.045635886469455
-0.541866927766378  0.012454689955687  -0.928720834422932  0.045635886469455
-0.928720834422932  -0.541866927766378  -0.541866927766378  0.045635886469455
-0.928720834422932  -0.541866927766378  0.012454689955687  0.045635886469455
-0.928720834422932  0.012454689955687  -0.541866927766378  0.045635886469455
0.012454689955687  -0.541866927766378  -0.928720834422932  0.045635886469455
0.012454689955687  -0.541866927766378  -0.541866927766378  0.045635886469455
0.012454689955687  -0.928720834422932  -0.541866927766378  0.045635886469455
-0.926784500893605  -0.926784500893605  -0.619027916130733  0.017124153129297
-0.926784500893605  -0.619027916130733  -0.926784500893605  0.017124153129297
-0.926784500893605  -0.926784500893605  0.472596917917943  0.017124153129297
-0.926784500893605  0.472596917917943  -0.926784500893605  0.017124153129297
-0.926784500893605  -0.619027916130733  0.472596917917943  0.017124153129297
-0.926784500893605  0.472596917917943  -0.619027916130733  0.017124153129297
-0.619027916130733  -0.926784500893605  -0.926784500893605  0.017124153129297
-0.619027916130733  -0.926784500893605  0.472596917917943  0.017124153129297
-0.619027916130733  0.472596917917943  -0.926784500893605  0.017124153129297
0.472596917917943  -0.926784500893605  -0.619027916130733  0.017124153129297
0.472596917917943  -0.926784500893605  -0.926784500893605  0.017124153129297
0.472596917917943  -0.619027916130733  -0.926784500893605  0.017124153129297
  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=8

53
-0.500000000000000  -0.500000000000000  -0.500000000000000  -1.102392306608869
-0.903297922900526  -0.903297922900526  -0.903297922900526  0.014922692552682
-0.903297922900526  -0.903297922900526  0.709893768701580  0.014922692552682
-0.903297922900526  0.709893768701580  -0.903297922900526  0.014922692552682
0.709893768701580  -0.903297922900526  -0.903297922900526  0.014922692552682
-0.350841439764235  -0.350841439764235  -0.350841439764235  0.034475391755947
-0.350841439764235  -0.350841439764235  -0.947475680707294  0.034475391755947
-0.350841439764235  -0.947475680707294  -0.350841439764235  0.034475391755947
-0.947475680707294  -0.350841439764235  -0.350841439764235  0.034475391755947
-0.770766919552010  -0.770766919552010  -0.770766919552010  -0.721478131849612
-0.770766919552010  -0.770766919552010  0.312300758656029  -0.721478131849612
-0.770766919552010  0.312300758656029  -0.770766919552010  -0.721478131849612
0.312300758656029  -0.770766919552010  -0.770766919552010  -0.721478131849612
-0.549020096176972  -0.549020096176972  -0.549020096176972  0.357380609620092
-0.549020096176972  -0.549020096176972  -0.352939711469084  0.357380609620092
-0.549020096176972  -0.352939711469084  -0.549020096176972  0.357380609620092
-0.352939711469084  -0.549020096176972  -0.549020096176972  0.357380609620092
-0.736744381506260  -0.736744381506260  -0.832670596765630  0.277603247076406
-0.736744381506260  -0.832670596765630  -0.736744381506260  0.277603247076406
-0.736744381506260  -0.736744381506260  0.306159359778151  0.277603247076406
-0.736744381506260  0.306159359778151  -0.736744381506260  0.277603247076406
-0.736744381506260  -0.832670596765630  0.306159359778151  0.277603247076406
-0.736744381506260  0.306159359778151  -0.832670596765630  0.277603247076406
-0.832670596765630  -0.736744381506260  -0.736744381506260  0.277603247076406
-0.832670596765630  -0.736744381506260  0.306159359778151  0.277603247076406
-0.832670596765630  0.306159359778151  -0.736744381506260  0.277603247076406
0.306159359778151  -0.736744381506260  -0.832670596765630  0.277603247076406
0.306159359778151  -0.736744381506260  -0.736744381506260  0.277603247076406
0.306159359778151  -0.832670596765630  -0.736744381506260  0.277603247076406
-0.132097077177186  -0.132097077177186  -0.784460280901143  0.026820671221285
-0.132097077177186  -0.784460280901143  -0.132097077177186  0.026820671221285
-0.132097077177186  -0.132097077177186  -0.951345564744484  0.026820671221285
-0.132097077177186  -0.951345564744484  -0.132097077177186  0.026820671221285
-0.132097077177186  -0.784460280901143  -0.951345564744484  0.026820671221285
-0.132097077177186  -0.951345564744484  -0.784460280901143  0.026820671221285
-0.784460280901143  -0.132097077177186  -0.132097077177186  0.026820671221285
-0.784460280901143  -0.132097077177186  -0.951345564744484  0.026820671221285
-0.784460280901143  -0.951345564744484  -0.132097077177186  0.026820671221285
-0.951345564744484  -0.132097077177186  -0.784460280901143  0.026820671221285
-0.951345564744484  -0.132097077177186  -0.132097077177186  0.026820671221285
-0.951345564744484  -0.784460280901143  -0.132097077177186  0.026820671221285
-1.002752554636276  -1.002752554636276  -0.446893054726385  0.003453031004456
-1.002752554636276  -0.446893054726385  -1.002752554636276  0.003453031004456
-1.002752554636276  -1.002752554636276  0.452398163998938  0.003453031004456
-1.002752554636276  0.452398163998938  -1.002752554636276  0.003453031004456
-1.002752554636276  -0.446893054726385  0.452398163998938  0.003453031004456
-1.002752554636276  0.452398163998938  -0.446893054726385  0.003453031004456
-0.446893054726385  -1.002752554636276  -1.002752554636276  0.003453031004456
-0.446893054726385  -1.002752554636276  0.452398163998938  0.003453031004456
-0.446893054726385  0.452398163998938  -1.002752554636276  0.003453031004456
0.452398163998938  -1.002752554636276  -0.446893054726385  0.003453031004456
0.452398163998938  -1.002752554636276  -1.002752554636276  0.003453031004456
0.452398163998938  -0.446893054726385  -1.002752554636276  0.003453031004456
  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=9

126
-0.857142857142857  -0.857142857142857  0.571428571428571  0.362902592520648
-0.857142857142857  -0.571428571428571  0.285714285714286  0.362902592520648
-0.857142857142857  -0.285714285714286  0.000000000000000  0.362902592520648
-0.857142857142857  0.000000000000000  -0.285714285714286  0.362902592520648
-0.857142857142857  0.285714285714286  -0.571428571428571  0.362902592520648
-0.857142857142857  0.571428571428571  -0.857142857142857  0.362902592520648
-0.571428571428571  -0.857142857142857  0.285714285714286  0.362902592520648
-0.571428571428571  -0.571428571428571  0.000000000000000  0.362902592520648
-0.571428571428571  -0.285714285714286  -0.285714285714286  0.362902592520648
-0.571428571428571  0.000000000000000  -0.571428571428571  0.362902592520648
-0.571428571428571  0.285714285714286  -0.857142857142857  0.362902592520648
-0.285714285714286  -0.857142857142857  0.000000000000000  0.362902592520648
-0.285714285714286  -0.571428571428571  -0.285714285714286  0.362902592520648
-0.285714285714286  -0.285714285714286  -0.571428571428571  0.362902592520648
-0.285714285714286  0.000000000000000  -0.857142857142857  0.362902592520648
0.000000000000000  -0.857142857142857  -0.285714285714286  0.362902592520648
0.000000000000000  -0.571428571428571  -0.571428571428571  0.362902592520648
0.000000000000000  -0.285714285714286  -0.857142857142857  0.362902592520648
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0.285714285714286  -0.571428571428571  -0.857142857142857  0.362902592520648
0.571428571428571  -0.857142857142857  -0.857142857142857  0.362902592520648
-0.857142857142857  -0.857142857142857  0.285714285714286  0.362902592520648
-0.857142857142857  -0.571428571428571  0.000000000000000  0.362902592520648
-0.857142857142857  -0.285714285714286  -0.285714285714286  0.362902592520648
-0.857142857142857  0.000000000000000  -0.571428571428571  0.362902592520648
-0.857142857142857  0.285714285714286  -0.857142857142857  0.362902592520648
-0.571428571428571  -0.857142857142857  0.000000000000000  0.362902592520648
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-0.571428571428571  0.000000000000000  -0.857142857142857  0.362902592520648
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0.000000000000000  -0.857142857142857  -0.571428571428571  0.362902592520648
0.000000000000000  -0.571428571428571  -0.857142857142857  0.362902592520648
0.285714285714286  -0.857142857142857  -0.857142857142857  0.362902592520648
-0.857142857142857  -0.857142857142857  0.000000000000000  0.362902592520648
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-0.857142857142857  -0.285714285714286  -0.571428571428571  0.362902592520648
-0.857142857142857  0.000000000000000  -0.857142857142857  0.362902592520648
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0.000000000000000  -0.857142857142857  -0.857142857142857  0.362902592520648
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-0.857142857142857  -0.571428571428571  -0.571428571428571  0.362902592520648
-0.857142857142857  -0.285714285714286  -0.857142857142857  0.362902592520648
-0.571428571428571  -0.857142857142857  -0.571428571428571  0.362902592520648
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-0.285714285714286  -0.857142857142857  -0.857142857142857  0.362902592520648
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-0.857142857142857  -0.857142857142857  -0.857142857142857  0.362902592520648
-0.833333333333333  -0.833333333333333  0.500000000000000  -0.932187812187812
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-0.833333333333333  0.500000000000000  -0.833333333333333  -0.932187812187812
-0.500000000000000  -0.833333333333333  0.166666666666667  -0.932187812187812
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  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=11

210
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  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=15

495
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  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=17

715
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  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=19

1001
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-0.750000000000000  -0.750000000000000  0.250000000000000  0.000083414141296
-0.750000000000000  -0.250000000000000  -0.250000000000000  0.000083414141296
-0.750000000000000  0.250000000000000  -0.750000000000000  0.000083414141296
-0.250000000000000  -0.750000000000000  -0.250000000000000  0.000083414141296
-0.250000000000000  -0.250000000000000  -0.750000000000000  0.000083414141296
0.250000000000000  -0.750000000000000  -0.750000000000000  0.000083414141296
-0.750000000000000  -0.750000000000000  -0.250000000000000  0.000083414141296
-0.750000000000000  -0.250000000000000  -0.750000000000000  0.000083414141296
-0.250000000000000  -0.750000000000000  -0.750000000000000  0.000083414141296
-0.750000000000000  -0.750000000000000  -0.750000000000000  0.000083414141296
-0.666666666666667  -0.666666666666667  0.000000000000000  -0.000000352698561
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0.000000000000000  -0.666666666666667  -0.666666666666667  -0.000000352698561
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-0.500000000000000  -0.500000000000000  -0.500000000000000  0.000000000106067
  Gauss  quadrature  constants  for  the  reference  tetrahedron  order  p=21
