Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 1814950026] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1867 geometric_solution 5.50100132 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 -1 0 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 0.633289501485 0.476692308234 0 3 4 2 0132 2103 1230 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.013818590593 1.317877524743 5 0 1 5 0132 0132 1230 1023 0 0 0 0 0 -1 0 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 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592577413108 0.197938923512 3 1 3 0 2031 2103 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252240913739 1.498939495879 6 6 0 1 0132 3201 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.547464013258 1.015808960914 2 5 5 2 0132 3201 2310 1023 0 0 0 0 0 0 0 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 0 -1 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890825834929 0.648766552299 4 6 4 6 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.799290641818 0.477208886309 ==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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_4'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_5']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_6'])})} 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_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 217/153*c_0101_6^5 + 107/17*c_0101_6^4 + 959/51*c_0101_6^3 - 644/17*c_0101_6^2 - 427/17*c_0101_6 + 541/17, c_0011_0 - 1, c_0011_3 + 1/51*c_0101_6^5 - 10/51*c_0101_6^4 + 1/51*c_0101_6^3 + 44/17*c_0101_6^2 + 7/17*c_0101_6 - 32/17, c_0011_4 - 2/17*c_0101_6^5 + 26/51*c_0101_6^4 + 79/51*c_0101_6^3 - 43/17*c_0101_6^2 - 25/17*c_0101_6 + 22/17, c_0101_1 + 5/51*c_0101_6^5 - 16/51*c_0101_6^4 - 80/51*c_0101_6^3 - 1/17*c_0101_6^2 + 18/17*c_0101_6 + 10/17, c_0101_2 - 4/51*c_0101_6^5 + 23/51*c_0101_6^4 + 10/17*c_0101_6^3 - 57/17*c_0101_6^2 + 6/17*c_0101_6 + 43/17, c_0101_5 - 5/51*c_0101_6^5 + 11/17*c_0101_6^4 + 29/51*c_0101_6^3 - 101/17*c_0101_6^2 - 1/17*c_0101_6 + 75/17, c_0101_6^6 - 3*c_0101_6^5 - 18*c_0101_6^4 + 3*c_0101_6^3 + 27*c_0101_6^2 - 9 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 19935091633/67375341590*c_0101_6^13 - 118497571917/269501366360*c_0101_6^12 + 936276878087/269501366360*c_0101_6^11 - 213763281624/33687670795*c_0101_6^10 + 5290931630857/269501366360*c_0101_6^9 - 4828619574691/134750683180*c_0101_6^8 + 8845201259941/134750683180*c_0101_6^7 - 756134250670/6737534159*c_0101_6^6 + 913385807289/7092141220*c_0101_6^5 - 27685534131363/134750683180*c_0101_6^4 + 37948976445021/269501366360*c_0101_6^3 - 26510957273607/134750683180*c_0101_6^2 + 19135917584823/269501366360*c_0101_6 - 17612940125501/269501366360, c_0011_0 - 1, c_0011_3 - 7968575/354607061*c_0101_6^13 + 20872367/354607061*c_0101_6^12 - 83432336/354607061*c_0101_6^11 + 198389075/354607061*c_0101_6^10 - 410179185/354607061*c_0101_6^9 + 727659524/354607061*c_0101_6^8 - 960817778/354607061*c_0101_6^7 + 1292036047/354607061*c_0101_6^6 - 980268721/354607061*c_0101_6^5 + 769337534/354607061*c_0101_6^4 - 145806461/354607061*c_0101_6^3 - 361225786/354607061*c_0101_6^2 + 293653587/354607061*c_0101_6 - 79068673/354607061, c_0011_4 - 12293965/1418428244*c_0101_6^13 + 19020423/354607061*c_0101_6^12 - 203113261/1418428244*c_0101_6^11 + 774269799/1418428244*c_0101_6^10 - 1508402381/1418428244*c_0101_6^9 + 860426994/354607061*c_0101_6^8 - 1344502290/354607061*c_0101_6^7 + 3919478785/709214122*c_0101_6^6 - 5249772239/709214122*c_0101_6^5 + 7532034039/1418428244*c_0101_6^4 - 10575513137/1418428244*c_0101_6^3 - 58906285/1418428244*c_0101_6^2 - 1826794403/709214122*c_0101_6 - 2482605767/1418428244, c_0101_1 + 1882759/709214122*c_0101_6^13 + 59808057/1418428244*c_0101_6^12 - 79172855/1418428244*c_0101_6^11 + 309249443/709214122*c_0101_6^10 - 1122250591/1418428244*c_0101_6^9 + 734834359/354607061*c_0101_6^8 - 1260227049/354607061*c_0101_6^7 + 3591051979/709214122*c_0101_6^6 - 2827175083/354607061*c_0101_6^5 + 3715955647/709214122*c_0101_6^4 - 12732456277/1418428244*c_0101_6^3 + 347475/354607061*c_0101_6^2 - 3864389871/1418428244*c_0101_6 - 2960567547/1418428244, c_0101_2 - 9341708/354607061*c_0101_6^13 + 14475276/354607061*c_0101_6^12 - 97606438/354607061*c_0101_6^11 + 170734806/354607061*c_0101_6^10 - 452452304/354607061*c_0101_6^9 + 757610467/354607061*c_0101_6^8 - 1107019595/354607061*c_0101_6^7 + 1760656838/354607061*c_0101_6^6 - 1255566596/354607061*c_0101_6^5 + 2310077156/354607061*c_0101_6^4 - 372310216/354607061*c_0101_6^3 + 1230165304/354607061*c_0101_6^2 + 20639377/354607061*c_0101_6 + 35758409/354607061, c_0101_5 - 7968575/354607061*c_0101_6^13 + 20872367/354607061*c_0101_6^12 - 83432336/354607061*c_0101_6^11 + 198389075/354607061*c_0101_6^10 - 410179185/354607061*c_0101_6^9 + 727659524/354607061*c_0101_6^8 - 960817778/354607061*c_0101_6^7 + 1292036047/354607061*c_0101_6^6 - 980268721/354607061*c_0101_6^5 + 769337534/354607061*c_0101_6^4 - 145806461/354607061*c_0101_6^3 - 361225786/354607061*c_0101_6^2 + 293653587/354607061*c_0101_6 - 79068673/354607061, c_0101_6^14 - c_0101_6^13 + 11*c_0101_6^12 - 16*c_0101_6^11 + 56*c_0101_6^10 - 91*c_0101_6^9 + 166*c_0101_6^8 - 280*c_0101_6^7 + 266*c_0101_6^6 - 503*c_0101_6^5 + 178*c_0101_6^4 - 452*c_0101_6^3 - 31*c_0101_6^2 - 113*c_0101_6 - 95 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB