Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 846442217] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1758 geometric_solution 5.44758557 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.826086816698 0.937339352035 0 4 2 3 0132 2031 2031 1302 0 0 0 0 0 -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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470804704088 0.600464219673 5 0 5 1 0132 0132 2310 1302 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.690214531695 0.670587141984 3 3 1 0 1302 2031 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520195432222 0.415362614805 1 4 0 4 1302 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 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 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.091217398537 1.200161971517 2 2 6 6 0132 3201 0132 2310 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 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 0.228746671556 0.445673476810 5 6 6 5 3201 3201 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.205764187090 0.736440063877 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_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' : 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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 1786/11*c_0101_5^22 - 861/11*c_0101_5^21 - 20613/11*c_0101_5^20 + 11754/11*c_0101_5^19 + 9288*c_0101_5^18 - 67085/11*c_0101_5^17 - 299515/11*c_0101_5^16 + 219300/11*c_0101_5^15 + 603863/11*c_0101_5^14 - 43132*c_0101_5^13 - 889579/11*c_0101_5^12 + 728411/11*c_0101_5^11 + 958200/11*c_0101_5^10 - 805720/11*c_0101_5^9 - 742464/11*c_0101_5^8 + 639965/11*c_0101_5^7 + 387247/11*c_0101_5^6 - 351421/11*c_0101_5^5 - 115704/11*c_0101_5^4 + 119840/11*c_0101_5^3 + 8667/11*c_0101_5^2 - 18269/11*c_0101_5 + 2737/11, c_0011_0 - 1, c_0011_3 - 112/11*c_0101_5^22 + 106/11*c_0101_5^21 + 1292/11*c_0101_5^20 - 1345/11*c_0101_5^19 - 578*c_0101_5^18 + 7280/11*c_0101_5^17 + 18357/11*c_0101_5^16 - 23003/11*c_0101_5^15 - 36221/11*c_0101_5^14 + 4454*c_0101_5^13 + 52095/11*c_0101_5^12 - 75010/11*c_0101_5^11 - 54764/11*c_0101_5^10 + 83288/11*c_0101_5^9 + 41507/11*c_0101_5^8 - 66438/11*c_0101_5^7 - 21072/11*c_0101_5^6 + 36401/11*c_0101_5^5 + 5888/11*c_0101_5^4 - 12257/11*c_0101_5^3 - 181/11*c_0101_5^2 + 1814/11*c_0101_5 - 208/11, c_0011_4 - 60/11*c_0101_5^22 + 67/11*c_0101_5^21 + 700/11*c_0101_5^20 - 827/11*c_0101_5^19 - 317*c_0101_5^18 + 4373/11*c_0101_5^17 + 10192/11*c_0101_5^16 - 13579/11*c_0101_5^15 - 20356/11*c_0101_5^14 + 2598*c_0101_5^13 + 29725/11*c_0101_5^12 - 43282/11*c_0101_5^11 - 31937/11*c_0101_5^10 + 47422/11*c_0101_5^9 + 24881/11*c_0101_5^8 - 37219/11*c_0101_5^7 - 13102/11*c_0101_5^6 + 19992/11*c_0101_5^5 + 3907/11*c_0101_5^4 - 6591/11*c_0101_5^3 - 249/11*c_0101_5^2 + 960/11*c_0101_5 - 102/11, c_0011_6 - 48/11*c_0101_5^22 + 25/11*c_0101_5^21 + 560/11*c_0101_5^20 - 336/11*c_0101_5^19 - 256*c_0101_5^18 + 1899/11*c_0101_5^17 + 8400/11*c_0101_5^16 - 6175/11*c_0101_5^15 - 17255/11*c_0101_5^14 + 1211*c_0101_5^13 + 25969/11*c_0101_5^12 - 20374/11*c_0101_5^11 - 28788/11*c_0101_5^10 + 22344/11*c_0101_5^9 + 23174/11*c_0101_5^8 - 17431/11*c_0101_5^7 - 12763/11*c_0101_5^6 + 9288/11*c_0101_5^5 + 4219/11*c_0101_5^4 - 3020/11*c_0101_5^3 - 505/11*c_0101_5^2 + 427/11*c_0101_5 - 53/11, c_0101_0 + 106/11*c_0101_5^22 - 52/11*c_0101_5^21 - 1233/11*c_0101_5^20 + 698/11*c_0101_5^19 + 560*c_0101_5^18 - 3931/11*c_0101_5^17 - 18187/11*c_0101_5^16 + 12723/11*c_0101_5^15 + 36898/11*c_0101_5^14 - 2483*c_0101_5^13 - 54738/11*c_0101_5^12 + 41556/11*c_0101_5^11 + 59432/11*c_0101_5^10 - 45405/11*c_0101_5^9 - 46390/11*c_0101_5^8 + 35600/11*c_0101_5^7 + 24417/11*c_0101_5^6 - 19312/11*c_0101_5^5 - 7441/11*c_0101_5^4 + 6539/11*c_0101_5^3 + 694/11*c_0101_5^2 - 992/11*c_0101_5 + 112/11, c_0101_2 + 69/11*c_0101_5^22 - 16/11*c_0101_5^21 - 794/11*c_0101_5^20 + 252/11*c_0101_5^19 + 358*c_0101_5^18 - 1570/11*c_0101_5^17 - 11613/11*c_0101_5^16 + 5404/11*c_0101_5^15 + 23669/11*c_0101_5^14 - 1089*c_0101_5^13 - 35347/11*c_0101_5^12 + 18542/11*c_0101_5^11 + 38696/11*c_0101_5^10 - 20564/11*c_0101_5^9 - 30641/11*c_0101_5^8 + 16409/11*c_0101_5^7 + 16626/11*c_0101_5^6 - 9122/11*c_0101_5^5 - 5488/11*c_0101_5^4 + 3178/11*c_0101_5^3 + 739/11*c_0101_5^2 - 488/11*c_0101_5 + 37/11, c_0101_5^23 - 12*c_0101_5^21 + c_0101_5^20 + 63*c_0101_5^19 - 10*c_0101_5^18 - 199*c_0101_5^17 + 43*c_0101_5^16 + 437*c_0101_5^15 - 108*c_0101_5^14 - 709*c_0101_5^13 + 181*c_0101_5^12 + 860*c_0101_5^11 - 213*c_0101_5^10 - 776*c_0101_5^9 + 179*c_0101_5^8 + 506*c_0101_5^7 - 107*c_0101_5^6 - 225*c_0101_5^5 + 43*c_0101_5^4 + 60*c_0101_5^3 - 10*c_0101_5^2 - 7*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB