Magma V2.19-8 Tue Aug 20 2013 16:14:40 on localhost [Seed = 3920131568] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s651 geometric_solution 5.14525647 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 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 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 0.518853216745 0.251570724872 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 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 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 0.920669508661 0.505040945725 1 4 5 3 0132 0132 0132 2310 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 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467342957143 1.088732834049 2 5 4 1 3201 1023 1023 0132 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 0 0 0 0.467342957143 1.088732834049 4 2 3 4 3012 0132 1023 1230 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 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.878575658767 0.888414275734 3 5 5 2 1023 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 -0.332924961998 0.775589600447 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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_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_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 132586189/10938461*c_0101_4^19 - 1428300837/10938461*c_0101_4^17 + 8693660815/10938461*c_0101_4^15 - 33445565539/10938461*c_0101_4^13 + 79886742927/10938461*c_0101_4^11 - 117179229597/10938461*c_0101_4^9 + 99044670339/10938461*c_0101_4^7 - 37432399013/10938461*c_0101_4^5 + 1323028730/10938461*c_0101_4^3 - 1702053624/10938461*c_0101_4, c_0011_0 - 1, c_0011_1 - 2070020/10938461*c_0101_4^18 + 19372773/10938461*c_0101_4^16 - 109124026/10938461*c_0101_4^14 + 374802640/10938461*c_0101_4^12 - 754980021/10938461*c_0101_4^10 + 883960612/10938461*c_0101_4^8 - 517986427/10938461*c_0101_4^6 + 70784535/10938461*c_0101_4^4 - 7989738/10938461*c_0101_4^2 + 5905140/10938461, c_0011_3 - 206005/10938461*c_0101_4^19 + 134347/10938461*c_0101_4^17 + 5444699/10938461*c_0101_4^15 - 52484812/10938461*c_0101_4^13 + 222704173/10938461*c_0101_4^11 - 471927001/10938461*c_0101_4^9 + 526306052/10938461*c_0101_4^7 - 236249365/10938461*c_0101_4^5 - 32748915/10938461*c_0101_4^3 - 14070149/10938461*c_0101_4, c_0101_0 + 2917899/10938461*c_0101_4^19 - 33107149/10938461*c_0101_4^17 + 206963425/10938461*c_0101_4^15 - 823706111/10938461*c_0101_4^13 + 2057105017/10938461*c_0101_4^11 - 3170831681/10938461*c_0101_4^9 + 2844728038/10938461*c_0101_4^7 - 1171430466/10938461*c_0101_4^5 + 27971582/10938461*c_0101_4^3 - 17020350/10938461*c_0101_4, c_0101_1 - 334987/10938461*c_0101_4^18 + 3226520/10938461*c_0101_4^16 - 18168596/10938461*c_0101_4^14 + 63192387/10938461*c_0101_4^12 - 127652951/10938461*c_0101_4^10 + 150229367/10938461*c_0101_4^8 - 97857728/10938461*c_0101_4^6 + 29557072/10938461*c_0101_4^4 - 17732909/10938461*c_0101_4^2 + 4622132/10938461, c_0101_4^20 - 11*c_0101_4^18 + 68*c_0101_4^16 - 267*c_0101_4^14 + 659*c_0101_4^12 - 1018*c_0101_4^10 + 943*c_0101_4^8 - 447*c_0101_4^6 + 71*c_0101_4^4 - 13*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB