Magma V2.19-8 Tue Sep 10 2013 19:53:34 on localhost [Seed = 2013633226] Type ? for help. Type -D to quit. Loading file "11_374__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_374 geometric_solution 14.41259224 oriented_manifold CS_known -0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 0132 0132 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 0 0 0 -1 0 1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776856020705 0.575631954173 0 2 6 5 0132 0213 0132 0132 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 -4 0 4 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 0.741851271038 0.581989309677 7 0 1 8 0132 0132 0213 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 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 0.562608640749 0.651931328073 5 9 4 0 0132 0132 2103 0132 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504690207736 0.255725463877 3 10 0 11 2103 0132 0132 0132 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 -1 1 -3 0 4 -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 0.181741942978 1.634651219558 3 12 1 13 0132 0132 0132 0132 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 0 0 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.991750201250 1.077545524197 13 10 8 1 0132 0321 0213 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 0 0 0 0 0 4 -4 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644167209545 1.073043289836 2 8 12 14 0132 0321 0132 0132 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 -1 0 0 0 0 1 -4 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943038044777 0.721950790176 14 6 2 7 0132 0213 0132 0321 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 1 -1 1 0 0 -1 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.407151724560 1.003283510356 11 3 10 10 1023 0132 0321 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832889599135 0.981740337050 9 4 9 6 3120 0132 0321 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208350179628 0.578164715859 15 9 4 15 0132 1023 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.652640896677 0.905987078010 14 5 15 7 3120 0132 3120 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 0 0 0 -1 0 1 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445747670422 0.352910320546 6 15 5 14 0132 3120 0132 0321 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 3 -3 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471891460969 0.386028522346 8 13 7 12 0132 0321 0132 3120 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 1 -1 -1 0 0 1 0 -1 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305418501448 0.923933519249 11 13 12 11 0132 3120 3120 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 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 0.652640896677 0.905987078010 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_1001_12']), 'c_1001_14' : d['c_1001_14'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_13' : d['c_1001_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_0011_11'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_0011_13'], 'c_1010_10' : d['c_1001_1'], 'c_1010_15' : negation(d['c_0011_13']), 'c_1010_14' : d['c_0011_11'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_0_15' : d['1'], 'c_0101_13' : d['c_0101_1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : d['c_0101_12'], 'c_0101_14' : negation(d['c_0011_0']), '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_2_15' : d['1'], 's_0_6' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_15' : negation(d['c_0011_11']), 'c_0011_14' : d['c_0011_14'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_8' : d['c_1001_5'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1001_14'], 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : d['c_1001_14'], 'c_1100_1' : d['c_1001_14'], 'c_1100_0' : negation(d['c_0101_11']), 'c_1100_3' : negation(d['c_0101_11']), 'c_1100_2' : d['c_1001_5'], 'c_1100_14' : negation(d['c_0101_12']), 'c_1100_15' : negation(d['c_0101_12']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_1001_0'], 'c_1100_13' : d['c_1001_14'], 's_3_10' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_14'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_12'], 's_3_12' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 's_2_8' : d['1'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_14'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_14']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_13']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0011_13'], 'c_0110_13' : negation(d['c_0011_14']), 'c_0110_12' : d['c_0101_7'], 'c_0110_15' : d['c_0101_11'], 'c_0110_14' : d['c_0101_7'], 'c_1010_4' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 's_2_14' : d['1'], 's_0_9' : d['1'], 's_3_15' : d['1'], 'c_0011_11' : d['c_0011_11'], 's_3_14' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_14']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_13'], 'c_0110_8' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_1001_0, c_1001_1, c_1001_12, c_1001_14, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 13554758/245939*c_1001_5^9 + 84873125/245939*c_1001_5^8 + 89432696/245939*c_1001_5^7 - 697924637/245939*c_1001_5^6 - 3244801676/245939*c_1001_5^5 - 7215845052/245939*c_1001_5^4 - 10036511726/245939*c_1001_5^3 - 8812800420/245939*c_1001_5^2 - 4493080466/245939*c_1001_5 - 1107300349/245939, c_0011_0 - 1, c_0011_10 - 2*c_1001_5^9 - 20*c_1001_5^8 - 89*c_1001_5^7 - 238*c_1001_5^6 - 431*c_1001_5^5 - 548*c_1001_5^4 - 482*c_1001_5^3 - 282*c_1001_5^2 - 100*c_1001_5 - 15, c_0011_11 + c_1001_5^9 + 10*c_1001_5^8 + 45*c_1001_5^7 + 123*c_1001_5^6 + 230*c_1001_5^5 + 306*c_1001_5^4 + 288*c_1001_5^3 + 187*c_1001_5^2 + 77*c_1001_5 + 15, c_0011_13 - c_1001_5^9 - 9*c_1001_5^8 - 36*c_1001_5^7 - 87*c_1001_5^6 - 143*c_1001_5^5 - 163*c_1001_5^4 - 125*c_1001_5^3 - 62*c_1001_5^2 - 16*c_1001_5, c_0011_14 + c_1001_5^9 + 10*c_1001_5^8 + 45*c_1001_5^7 + 123*c_1001_5^6 + 230*c_1001_5^5 + 306*c_1001_5^4 + 288*c_1001_5^3 + 187*c_1001_5^2 + 78*c_1001_5 + 16, c_0101_0 - c_1001_5^2 - c_1001_5 - 1, c_0101_1 + c_1001_5^7 + 8*c_1001_5^6 + 28*c_1001_5^5 + 59*c_1001_5^4 + 83*c_1001_5^3 + 76*c_1001_5^2 + 42*c_1001_5 + 12, c_0101_10 + 2*c_1001_5^8 + 17*c_1001_5^7 + 65*c_1001_5^6 + 152*c_1001_5^5 + 242*c_1001_5^4 + 265*c_1001_5^3 + 194*c_1001_5^2 + 89*c_1001_5 + 20, c_0101_11 + c_1001_5^6 + 6*c_1001_5^5 + 16*c_1001_5^4 + 27*c_1001_5^3 + 30*c_1001_5^2 + 19*c_1001_5 + 7, c_0101_12 - 1, c_0101_7 - c_1001_5^8 - 10*c_1001_5^7 - 44*c_1001_5^6 - 115*c_1001_5^5 - 201*c_1001_5^4 - 242*c_1001_5^3 - 194*c_1001_5^2 - 96*c_1001_5 - 24, c_1001_0 + c_1001_5^9 + 10*c_1001_5^8 + 45*c_1001_5^7 + 123*c_1001_5^6 + 230*c_1001_5^5 + 306*c_1001_5^4 + 288*c_1001_5^3 + 187*c_1001_5^2 + 77*c_1001_5 + 16, c_1001_1 - c_1001_5^7 - 8*c_1001_5^6 - 28*c_1001_5^5 - 59*c_1001_5^4 - 83*c_1001_5^3 - 76*c_1001_5^2 - 42*c_1001_5 - 12, c_1001_12 - c_1001_5^8 - 10*c_1001_5^7 - 44*c_1001_5^6 - 115*c_1001_5^5 - 201*c_1001_5^4 - 242*c_1001_5^3 - 194*c_1001_5^2 - 96*c_1001_5 - 24, c_1001_14 - c_1001_5^9 - 10*c_1001_5^8 - 45*c_1001_5^7 - 123*c_1001_5^6 - 229*c_1001_5^5 - 301*c_1001_5^4 - 277*c_1001_5^3 - 172*c_1001_5^2 - 66*c_1001_5 - 12, c_1001_5^10 + 11*c_1001_5^9 + 55*c_1001_5^8 + 168*c_1001_5^7 + 353*c_1001_5^6 + 536*c_1001_5^5 + 594*c_1001_5^4 + 475*c_1001_5^3 + 265*c_1001_5^2 + 94*c_1001_5 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 262.940 Total time: 263.139 seconds, Total memory usage: 780.31MB