Magma V2.19-8 Tue Aug 20 2013 23:47:23 on localhost [Seed = 2816593384] Type ? for help. Type -D to quit. Loading file "L10a47__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a47 geometric_solution 11.07964311 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 6 0 0 -6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311991752259 0.790834261843 0 4 4 0 0132 0132 2031 2031 1 1 1 1 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 -1 0 1 -6 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626159825286 0.719742306653 5 6 7 0 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 1 0 -1 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190941036992 1.173564112067 8 4 0 9 0132 2031 0132 0132 1 1 1 1 0 0 0 0 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 1 -1 0 0 0 0 0 6 -6 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222648795799 0.557451567202 3 1 9 1 1302 0132 0213 1302 1 1 1 1 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 0 0 0 0 0 7 -7 -1 1 0 0 6 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568331462233 1.094190044941 2 10 6 10 0132 0132 1023 0213 0 1 1 1 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 -1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432468160275 0.415065010496 11 2 5 11 0132 0132 1023 2103 1 0 1 1 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 1 0 -1 -1 0 1 0 -6 0 0 6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796384844337 1.155179925618 10 9 8 2 0213 1023 1023 0132 1 1 1 1 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 0 0 0 0 0 0 0 0 -7 0 7 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485881390028 0.386323119124 3 11 7 9 0132 2103 1023 1023 1 1 1 1 0 0 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 6 -6 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931229944301 1.099692184220 7 4 3 8 1023 0213 0132 1023 1 1 1 1 0 0 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 7 -7 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.074803761322 1.496463550102 7 5 11 5 0213 0132 1023 0213 0 1 1 1 0 -1 0 1 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 1 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432468160275 0.415065010496 6 8 10 6 0132 2103 1023 2103 1 0 1 1 0 1 0 -1 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 6 0 -6 1 0 -1 0 -1 0 0 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796384844337 1.155179925618 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0110_9'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : d['c_0101_6'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : d['c_0101_1'], 'c_1010_8' : d['c_0110_9'], 'c_1100_8' : negation(d['c_1100_0']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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_10'], 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0101_2']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_0110_4, c_0110_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 16139/2815358*c_1100_0^5 - 103260/1407679*c_1100_0^4 + 344667/2815358*c_1100_0^3 - 749461/1407679*c_1100_0^2 + 45117/2815358*c_1100_0 + 610768/1407679, c_0011_0 - 1, c_0011_10 - 88/499*c_1100_0^5 - 104/499*c_1100_0^4 - 744/499*c_1100_0^3 - 1538/499*c_1100_0^2 - 1052/499*c_1100_0 - 1124/499, c_0011_3 + 33/499*c_1100_0^5 + 39/499*c_1100_0^4 + 279/499*c_1100_0^3 + 452/499*c_1100_0^2 + 644/499*c_1100_0 + 172/499, c_0101_0 + 33/499*c_1100_0^5 + 39/499*c_1100_0^4 + 279/499*c_1100_0^3 + 452/499*c_1100_0^2 + 644/499*c_1100_0 + 172/499, c_0101_1 - 9/499*c_1100_0^5 - 56/499*c_1100_0^4 + 60/499*c_1100_0^3 - 713/499*c_1100_0^2 + 278/499*c_1100_0 - 682/499, c_0101_11 + 1, c_0101_2 - 121/499*c_1100_0^5 - 143/499*c_1100_0^4 - 1023/499*c_1100_0^3 - 1990/499*c_1100_0^2 - 1696/499*c_1100_0 - 1296/499, c_0101_6 - 1, c_0101_8 + 22/499*c_1100_0^5 + 26/499*c_1100_0^4 + 186/499*c_1100_0^3 + 634/499*c_1100_0^2 + 263/499*c_1100_0 + 780/499, c_0110_4 - 65/499*c_1100_0^5 + 150/499*c_1100_0^4 - 731/499*c_1100_0^3 + 894/499*c_1100_0^2 - 709/499*c_1100_0 + 508/499, c_0110_9 + 55/499*c_1100_0^5 + 65/499*c_1100_0^4 + 465/499*c_1100_0^3 + 1086/499*c_1100_0^2 + 408/499*c_1100_0 + 952/499, c_1100_0^6 - c_1100_0^5 + 10*c_1100_0^4 - 2*c_1100_0^3 + 13*c_1100_0^2 - 3*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_0110_4, c_0110_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 2924116147/21330950400*c_1100_0^6 + 5729910001/21330950400*c_1100_0^5 + 3099620753/10665475200*c_1100_0^4 - 17595143081/10665475200*c_1100_0^3 + 2466845987/7110316800*c_1100_0^2 + 543757319/239673600*c_1100_0 - 2046648189/790035200, c_0011_0 - 1, c_0011_10 - 179/801*c_1100_0^6 + 185/801*c_1100_0^5 + 674/801*c_1100_0^4 - 1562/801*c_1100_0^3 - 439/267*c_1100_0^2 + 19/9*c_1100_0 - 1/267, c_0011_3 - 41/801*c_1100_0^6 + 20/801*c_1100_0^5 + 311/801*c_1100_0^4 - 407/801*c_1100_0^3 - 199/267*c_1100_0^2 + 13/9*c_1100_0 + 137/267, c_0101_0 - 41/801*c_1100_0^6 + 20/801*c_1100_0^5 + 311/801*c_1100_0^4 - 407/801*c_1100_0^3 - 199/267*c_1100_0^2 + 13/9*c_1100_0 + 137/267, c_0101_1 - 26/801*c_1100_0^6 - 85/801*c_1100_0^5 + 80/801*c_1100_0^4 + 328/801*c_1100_0^3 - 289/267*c_1100_0^2 - 8/9*c_1100_0 + 152/267, c_0101_11 - 1, c_0101_2 - 220/801*c_1100_0^6 + 205/801*c_1100_0^5 + 985/801*c_1100_0^4 - 1969/801*c_1100_0^3 - 638/267*c_1100_0^2 + 32/9*c_1100_0 + 136/267, c_0101_6 - 1, c_0101_8 + 97/801*c_1100_0^6 - 145/801*c_1100_0^5 - 52/801*c_1100_0^4 + 748/801*c_1100_0^3 + 41/267*c_1100_0^2 - 2/9*c_1100_0 + 275/267, c_0110_4 - 68/801*c_1100_0^6 + 209/801*c_1100_0^5 + 86/801*c_1100_0^4 - 929/801*c_1100_0^3 + 230/267*c_1100_0^2 + 13/9*c_1100_0 - 424/267, c_0110_9 + 46/267*c_1100_0^6 - 55/267*c_1100_0^5 - 121/267*c_1100_0^4 + 385/267*c_1100_0^3 + 80/89*c_1100_0^2 - 2/3*c_1100_0 + 46/89, c_1100_0^7 - c_1100_0^6 - 4*c_1100_0^5 + 10*c_1100_0^4 + 9*c_1100_0^3 - 19*c_1100_0^2 + 3*c_1100_0 + 18 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB