Magma V2.19-8 Tue Aug 20 2013 16:19:06 on localhost [Seed = 812756298] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3234 geometric_solution 6.36297460 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 2310 0132 0132 0 0 0 0 0 0 1 -1 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 -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 0.456743772094 0.918633488093 0 4 5 0 0132 0132 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 0 0 0 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 0.353510115530 1.506360864553 3 3 5 0 1302 1023 1302 0132 0 0 0 0 0 1 0 -1 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 -1 1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485092401613 0.401925555300 2 2 0 4 1023 2031 0132 1302 0 0 0 0 0 0 1 -1 -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 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 0.485092401613 0.401925555300 6 1 3 5 0132 0132 2031 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503339332523 0.451489764215 2 4 6 1 2031 1302 2310 0132 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 1 0 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 0.503339332523 0.451489764215 4 5 6 6 0132 3201 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457760397860 0.763868616780 ==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_0101_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], '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_2'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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_0101_6'], 'c_1001_4' : negation(d['c_0110_3']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0110_3'], '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' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_2'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0110_3'], 'c_1010_1' : negation(d['c_0110_3']), '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_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 929704/89*c_0110_3^12 - 3582542/89*c_0110_3^11 + 4779479/89*c_0110_3^10 + 28196908/89*c_0110_3^9 - 733492/89*c_0110_3^8 - 70998064/89*c_0110_3^7 - 30697/89*c_0110_3^6 + 87555839/89*c_0110_3^5 - 28930048/89*c_0110_3^4 - 44817591/89*c_0110_3^3 + 39454601/89*c_0110_3^2 - 11975330/89*c_0110_3 + 1296903/89, c_0011_0 - 1, c_0011_2 - 792*c_0110_3^12 - 3086*c_0110_3^11 + 3925*c_0110_3^10 + 24131*c_0110_3^9 + 461*c_0110_3^8 - 60026*c_0110_3^7 - 2444*c_0110_3^6 + 73495*c_0110_3^5 - 21891*c_0110_3^4 - 37985*c_0110_3^3 + 32029*c_0110_3^2 - 9473*c_0110_3 + 1004, c_0101_0 + 802*c_0110_3^12 + 3085*c_0110_3^11 - 4154*c_0110_3^10 - 24343*c_0110_3^9 + 811*c_0110_3^8 + 61564*c_0110_3^7 - 125*c_0110_3^6 - 76118*c_0110_3^5 + 24926*c_0110_3^4 + 39055*c_0110_3^3 - 34046*c_0110_3^2 + 10222*c_0110_3 - 1093, c_0101_1 + c_0110_3, c_0101_4 + 68*c_0110_3^12 + 280*c_0110_3^11 - 269*c_0110_3^10 - 2104*c_0110_3^9 - 518*c_0110_3^8 + 4847*c_0110_3^7 + 1159*c_0110_3^6 - 5674*c_0110_3^5 + 879*c_0110_3^4 + 3058*c_0110_3^3 - 2155*c_0110_3^2 + 572*c_0110_3 - 55, c_0101_6 + 414*c_0110_3^12 + 1649*c_0110_3^11 - 1887*c_0110_3^10 - 12679*c_0110_3^9 - 1389*c_0110_3^8 + 30557*c_0110_3^7 + 3491*c_0110_3^6 - 36695*c_0110_3^5 + 9204*c_0110_3^4 + 19147*c_0110_3^3 - 15416*c_0110_3^2 + 4500*c_0110_3 - 478, c_0110_3^13 + 7/2*c_0110_3^12 - 13/2*c_0110_3^11 - 57/2*c_0110_3^10 + 23/2*c_0110_3^9 + 76*c_0110_3^8 - 27*c_0110_3^7 - 94*c_0110_3^6 + 129/2*c_0110_3^5 + 37*c_0110_3^4 - 119/2*c_0110_3^3 + 28*c_0110_3^2 - 6*c_0110_3 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB