Magma V2.19-8 Wed Aug 21 2013 01:02:28 on localhost [Seed = 3330334000] Type ? for help. Type -D to quit. Loading file "L14n15028__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15028 geometric_solution 12.20972879 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319777329474 0.808935157953 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525464846957 1.408548721209 8 0 9 7 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600139687114 1.237302112547 10 5 11 0 0132 1230 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577368336930 1.069123979752 10 9 0 8 3120 1023 0132 1023 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.975160783816 0.723091299003 12 1 3 9 0132 0132 3012 2031 1 1 1 0 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338335553629 0.490630685699 8 10 1 11 2103 2103 0132 3012 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288492340590 0.704174212037 10 12 2 1 2103 1302 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288492340590 0.704174212037 2 12 6 4 0132 0132 2103 1023 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455889196812 0.621000508148 4 5 11 2 1023 1302 3012 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542325776536 0.273536929243 3 6 7 4 0132 2103 2103 3120 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214800213967 0.637585149927 12 9 6 3 2031 1230 1230 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236491117031 0.731782948374 5 8 11 7 0132 0132 1302 2031 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798169637781 0.910961053789 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0101_9'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_0101_9'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_4']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : negation(d['c_1001_11']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_6'], 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0101_9'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_3'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_4']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0101_9, c_0110_6, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 171758461952151/4912704279175*c_1001_11^9 + 27638647730515/393016342334*c_1001_11^8 + 95989678867443/1965081711670*c_1001_11^7 - 34480014063853/9825408558350*c_1001_11^6 - 43100439850454/701814897025*c_1001_11^5 - 1149011044137679/9825408558350*c_1001_11^4 - 1431207660410439/9825408558350*c_1001_11^3 - 679883096075851/4912704279175*c_1001_11^2 - 26203836210617/280725958810*c_1001_11 - 288701542815647/9825408558350, c_0011_0 - 1, c_0011_10 + 309160656/33545707*c_1001_11^9 + 539527270/33545707*c_1001_11^8 + 920927723/33545707*c_1001_11^7 + 1311303739/33545707*c_1001_11^6 + 1475382237/33545707*c_1001_11^5 + 1435391566/33545707*c_1001_11^4 + 1211755659/33545707*c_1001_11^3 + 801270410/33545707*c_1001_11^2 + 431232231/33545707*c_1001_11 + 200890227/33545707, c_0011_11 - 19184922/2580439*c_1001_11^9 - 32404075/2580439*c_1001_11^8 - 55974770/2580439*c_1001_11^7 - 87470446/2580439*c_1001_11^6 - 96055835/2580439*c_1001_11^5 - 100362734/2580439*c_1001_11^4 - 85248949/2580439*c_1001_11^3 - 55364157/2580439*c_1001_11^2 - 35265617/2580439*c_1001_11 - 12577065/2580439, c_0011_4 - 4814262/2580439*c_1001_11^9 - 8039697/2580439*c_1001_11^8 - 9684336/2580439*c_1001_11^7 - 14007662/2580439*c_1001_11^6 - 8545238/2580439*c_1001_11^5 - 10267481/2580439*c_1001_11^4 - 3534427/2580439*c_1001_11^3 - 803630/2580439*c_1001_11^2 - 292855/2580439*c_1001_11 + 1296107/2580439, c_0011_6 - 316244574/33545707*c_1001_11^9 - 540056943/33545707*c_1001_11^8 - 954683409/33545707*c_1001_11^7 - 1349894995/33545707*c_1001_11^6 - 1517832176/33545707*c_1001_11^5 - 1489024399/33545707*c_1001_11^4 - 1266764240/33545707*c_1001_11^3 - 814306019/33545707*c_1001_11^2 - 494949199/33545707*c_1001_11 - 212848942/33545707, c_0101_0 - 254637414/33545707*c_1001_11^9 - 495782879/33545707*c_1001_11^8 - 819731401/33545707*c_1001_11^7 - 1137036746/33545707*c_1001_11^6 - 1307589484/33545707*c_1001_11^5 - 1203757526/33545707*c_1001_11^4 - 993825536/33545707*c_1001_11^3 - 643437523/33545707*c_1001_11^2 - 339649110/33545707*c_1001_11 - 127541168/33545707, c_0101_1 - 1, c_0101_2 + 25157862/2580439*c_1001_11^9 + 38613013/2580439*c_1001_11^8 + 66777954/2580439*c_1001_11^7 + 90857860/2580439*c_1001_11^6 + 102025983/2580439*c_1001_11^5 + 94267300/2580439*c_1001_11^4 + 78728473/2580439*c_1001_11^3 + 49075549/2580439*c_1001_11^2 + 27132925/2580439*c_1001_11 + 10897235/2580439, c_0101_3 - 23530014/2580439*c_1001_11^9 - 40625145/2580439*c_1001_11^8 - 69506996/2580439*c_1001_11^7 - 92197173/2580439*c_1001_11^6 - 103927370/2580439*c_1001_11^5 - 99214554/2580439*c_1001_11^4 - 79064549/2580439*c_1001_11^3 - 49796990/2580439*c_1001_11^2 - 28999697/2580439*c_1001_11 - 10754014/2580439, c_0101_5 + 11670408/33545707*c_1001_11^9 - 833524/33545707*c_1001_11^8 - 21972414/33545707*c_1001_11^7 - 18073035/33545707*c_1001_11^6 - 30359755/33545707*c_1001_11^5 - 49215213/33545707*c_1001_11^4 - 23179376/33545707*c_1001_11^3 - 48810456/33545707*c_1001_11^2 - 27568589/33545707*c_1001_11 - 7629654/33545707, c_0101_9 - 5560758/2580439*c_1001_11^9 - 11899617/2580439*c_1001_11^8 - 18144684/2580439*c_1001_11^7 - 23598822/2580439*c_1001_11^6 - 27494713/2580439*c_1001_11^5 - 22753469/2580439*c_1001_11^4 - 23111897/2580439*c_1001_11^3 - 12326103/2580439*c_1001_11^2 - 7185301/2580439*c_1001_11 - 4597558/2580439, c_0110_6 - 23428782/2580439*c_1001_11^9 - 41606959/2580439*c_1001_11^8 - 75127371/2580439*c_1001_11^7 - 105228310/2580439*c_1001_11^6 - 119091687/2580439*c_1001_11^5 - 118326124/2580439*c_1001_11^4 - 99226432/2580439*c_1001_11^3 - 66393575/2580439*c_1001_11^2 - 37613237/2580439*c_1001_11 - 16959892/2580439, c_1001_11^10 + 49/18*c_1001_11^9 + 85/18*c_1001_11^8 + 64/9*c_1001_11^7 + 80/9*c_1001_11^6 + 167/18*c_1001_11^5 + 151/18*c_1001_11^4 + 19/3*c_1001_11^3 + 71/18*c_1001_11^2 + 37/18*c_1001_11 + 11/18 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB