Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 4299987] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1252 geometric_solution 5.15034971 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 0132 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 1 0 -1 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 1.033941356942 3.389793379632 0 4 4 0 0132 0132 3201 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.115679206169 0.161207795470 3 3 5 0 1302 1023 0132 0132 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 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 0.228356922141 0.692133824999 2 2 0 6 1023 2031 0132 0132 0 0 0 0 0 -1 1 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 1 -1 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 0.228356922141 0.692133824999 1 1 4 4 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.824890945538 4.176019811378 6 6 6 2 1302 3012 0132 0132 0 0 0 1 0 1 0 -1 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228356922141 0.692133824999 5 5 3 5 1230 2031 0132 0132 0 0 1 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 -1 1 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 0.228356922141 0.692133824999 ==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_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_1100_0'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1327857199/4135702144*c_1100_0^6 - 731413057/775444152*c_1100_0^5 + 8510699671/3101776608*c_1100_0^4 + 13133998211/12407106432*c_1100_0^3 - 30257074329/4135702144*c_1100_0^2 + 22106036485/2067851072*c_1100_0 + 23755205965/12407106432, c_0011_0 - 1, c_0011_2 - 136345/6304424*c_1100_0^6 + 99398/2364159*c_1100_0^5 - 683197/4728318*c_1100_0^4 - 3424733/18913272*c_1100_0^3 + 2562191/6304424*c_1100_0^2 - 3072683/3152212*c_1100_0 - 7183699/18913272, c_0011_5 - 1, c_0101_0 - 1257/450316*c_1100_0^6 + 6167/112579*c_1100_0^5 - 11197/112579*c_1100_0^4 + 143837/450316*c_1100_0^3 + 88151/450316*c_1100_0^2 - 90879/225158*c_1100_0 + 238367/450316, c_0101_1 + 136345/6304424*c_1100_0^6 - 99398/2364159*c_1100_0^5 + 683197/4728318*c_1100_0^4 + 3424733/18913272*c_1100_0^3 - 2562191/6304424*c_1100_0^2 - 79529/3152212*c_1100_0 + 7183699/18913272, c_0101_4 + 37299/1801264*c_1100_0^6 - 3229/112579*c_1100_0^5 + 20037/450316*c_1100_0^4 + 657453/1801264*c_1100_0^3 - 799397/1801264*c_1100_0^2 - 255655/900632*c_1100_0 + 1733347/1801264, c_1100_0^7 - 7/3*c_1100_0^6 + 20/3*c_1100_0^5 + 25/3*c_1100_0^4 - 62/3*c_1100_0^3 + 17*c_1100_0^2 + 73/3*c_1100_0 + 41/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB