Magma V2.19-8 Tue Aug 20 2013 16:17:24 on localhost [Seed = 2395935301] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1637 geometric_solution 5.37988723 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 0 0 0 -1 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 1.104538933996 0.958857940330 0 5 5 4 0132 0132 1023 0213 0 0 0 0 0 0 1 -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 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 0.331013225339 0.290841512883 6 0 6 4 0132 0132 2310 2031 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 -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 0.959428196584 0.865681191629 4 3 3 0 0213 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 1.043555407965 0.707021946937 3 2 0 1 0213 1302 0132 0213 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 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 0.483719131667 0.448187017048 5 1 1 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 -1 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 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 1.689437538503 1.086363019325 2 2 6 6 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520750455655 0.199983774370 ==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' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : 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_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 105577081/1883643*c_0101_6^15 + 115182146/627881*c_0101_6^14 - 5569408/19419*c_0101_6^13 - 55260365/1883643*c_0101_6^12 + 689571777/627881*c_0101_6^11 - 1297411420/1883643*c_0101_6^10 - 765460247/627881*c_0101_6^9 + 2819781182/1883643*c_0101_6^8 + 765504569/1883643*c_0101_6^7 - 1108205646/627881*c_0101_6^6 - 26976817/1883643*c_0101_6^5 + 2320641238/1883643*c_0101_6^4 - 89421765/627881*c_0101_6^3 - 1037988961/1883643*c_0101_6^2 + 169474583/1883643*c_0101_6 + 92736281/627881, c_0011_0 - 1, c_0011_3 + 3438/6473*c_0101_6^15 + 20797/19419*c_0101_6^14 - 30100/6473*c_0101_6^13 + 67643/19419*c_0101_6^12 + 152815/19419*c_0101_6^11 - 114474/6473*c_0101_6^10 + 18119/19419*c_0101_6^9 + 111172/6473*c_0101_6^8 - 277525/19419*c_0101_6^7 - 181990/19419*c_0101_6^6 + 75114/6473*c_0101_6^5 + 89204/19419*c_0101_6^4 - 120563/19419*c_0101_6^3 - 2152/6473*c_0101_6^2 + 46616/19419*c_0101_6 + 5489/19419, c_0011_4 + 24973/19419*c_0101_6^15 + 73145/19419*c_0101_6^14 - 148801/19419*c_0101_6^13 + 50600/19419*c_0101_6^12 + 448877/19419*c_0101_6^11 - 452311/19419*c_0101_6^10 - 313391/19419*c_0101_6^9 + 702278/19419*c_0101_6^8 - 36561/6473*c_0101_6^7 - 632042/19419*c_0101_6^6 + 203867/19419*c_0101_6^5 + 367733/19419*c_0101_6^4 - 161077/19419*c_0101_6^3 - 99664/19419*c_0101_6^2 + 16509/6473*c_0101_6 + 18859/19419, c_0101_0 - 5265/6473*c_0101_6^15 - 55216/19419*c_0101_6^14 + 20373/6473*c_0101_6^13 + 3859/19419*c_0101_6^12 - 262372/19419*c_0101_6^11 + 25208/6473*c_0101_6^10 + 281821/19419*c_0101_6^9 - 70478/6473*c_0101_6^8 - 253253/19419*c_0101_6^7 + 341263/19419*c_0101_6^6 + 61096/6473*c_0101_6^5 - 311447/19419*c_0101_6^4 - 51226/19419*c_0101_6^3 + 47251/6473*c_0101_6^2 + 30214/19419*c_0101_6 - 31502/19419, c_0101_2 + 2083/19419*c_0101_6^15 + 2186/6473*c_0101_6^14 - 4903/19419*c_0101_6^13 + 22807/19419*c_0101_6^12 + 4628/6473*c_0101_6^11 - 26407/19419*c_0101_6^10 + 24074/6473*c_0101_6^9 - 3760/19419*c_0101_6^8 - 90553/19419*c_0101_6^7 + 18555/6473*c_0101_6^6 + 30632/19419*c_0101_6^5 - 105215/19419*c_0101_6^4 - 12464/6473*c_0101_6^3 + 68954/19419*c_0101_6^2 + 4031/19419*c_0101_6 - 7630/6473, c_0101_5 + 9436/19419*c_0101_6^15 + 13411/6473*c_0101_6^14 - 12310/19419*c_0101_6^13 - 36542/19419*c_0101_6^12 + 52727/6473*c_0101_6^11 + 103112/19419*c_0101_6^10 - 85809/6473*c_0101_6^9 - 3832/19419*c_0101_6^8 + 359432/19419*c_0101_6^7 - 59110/6473*c_0101_6^6 - 310969/19419*c_0101_6^5 + 204094/19419*c_0101_6^4 + 53983/6473*c_0101_6^3 - 119536/19419*c_0101_6^2 - 58735/19419*c_0101_6 + 11092/6473, c_0101_6^16 + 3*c_0101_6^15 - 6*c_0101_6^14 + c_0101_6^13 + 20*c_0101_6^12 - 18*c_0101_6^11 - 18*c_0101_6^10 + 34*c_0101_6^9 - c_0101_6^8 - 34*c_0101_6^7 + 10*c_0101_6^6 + 22*c_0101_6^5 - 10*c_0101_6^4 - 9*c_0101_6^3 + 5*c_0101_6^2 + 2*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB