Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 1444399907] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2903 geometric_solution 6.10909475 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.479721889753 0.312928139108 2 0 3 0 0132 0132 0132 1023 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 -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 0 0 0 0 0 0 1.696160499888 0.881983443961 1 4 5 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 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 0.336171581844 0.677673819575 6 5 4 1 0132 0132 3201 0132 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 1 0 -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 0.336171581844 0.677673819575 3 2 4 4 2310 0132 2031 1302 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 0 0 0 0.145099542117 0.872888682080 5 3 5 2 2310 0132 3201 0132 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 -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 0.360218226183 0.677937904182 3 6 2 6 0132 2310 0132 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 1 -1 0 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.003155597310 1.399549284620 ==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' : negation(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_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0101_4'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_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' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : d['c_0101_2']})} 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_0101_1, c_0101_2, c_0101_3, c_0101_4, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 1920939549/4846196902*c_0110_0^20 + 38085504159/4846196902*c_0110_0^18 - 159510717136/2423098451*c_0110_0^16 + 1521369022889/4846196902*c_0110_0^14 - 2324052119396/2423098451*c_0110_0^12 + 4784429176969/2423098451*c_0110_0^10 - 6709261895331/2423098451*c_0110_0^8 + 12499213683073/4846196902*c_0110_0^6 - 3585608241698/2423098451*c_0110_0^4 + 2106878681585/4846196902*c_0110_0^2 - 87813148647/2423098451, c_0011_0 - 1, c_0011_3 - 16552/169483*c_0110_0^21 + 293007/169483*c_0110_0^19 - 2107693/169483*c_0110_0^17 + 8321217/169483*c_0110_0^15 - 20339453/169483*c_0110_0^13 + 32116705/169483*c_0110_0^11 - 32473014/169483*c_0110_0^9 + 20073683/169483*c_0110_0^7 - 7434208/169483*c_0110_0^5 + 2505251/169483*c_0110_0^3 - 901533/169483*c_0110_0, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_2 + c_0110_0^2 - 1, c_0101_3 + 75292/169483*c_0110_0^21 - 1393739/169483*c_0110_0^19 + 10705448/169483*c_0110_0^17 - 46206524/169483*c_0110_0^15 + 126550917/169483*c_0110_0^13 - 230734581/169483*c_0110_0^11 + 281089018/169483*c_0110_0^9 - 219943719/169483*c_0110_0^7 + 99261692/169483*c_0110_0^5 - 19438586/169483*c_0110_0^3 + 338000/169483*c_0110_0, c_0101_4 - 31657/169483*c_0110_0^20 + 590083/169483*c_0110_0^18 - 4608970/169483*c_0110_0^16 + 20530065/169483*c_0110_0^14 - 59030133/169483*c_0110_0^12 + 115100522/169483*c_0110_0^10 - 153534278/169483*c_0110_0^8 + 135977012/169483*c_0110_0^6 - 73347431/169483*c_0110_0^4 + 19141422/169483*c_0110_0^2 - 930994/169483, c_0110_0^22 - 20*c_0110_0^20 + 170*c_0110_0^18 - 830*c_0110_0^16 + 2629*c_0110_0^14 - 5711*c_0110_0^12 + 8674*c_0110_0^10 - 9131*c_0110_0^8 + 6401*c_0110_0^6 - 2730*c_0110_0^4 + 575*c_0110_0^2 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB