Magma V2.19-8 Tue Sep 10 2013 19:26:50 on localhost [Seed = 3217180490] Type ? for help. Type -D to quit. Loading file "11_318__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_318 geometric_solution 14.79887286 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 16 1 2 3 4 0132 0132 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 0 -1 1 0 0 0 0 0 3 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706693209456 0.641759169529 0 5 7 6 0132 0132 0132 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 -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 0.589107029546 1.288974037541 8 0 9 4 0132 0132 0132 0213 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 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.188889961573 0.579271428454 8 10 10 0 2031 0132 0321 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 1 0 -1 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148944482764 0.830478055713 7 11 0 2 0132 0132 0132 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.224496457340 0.704246910604 12 1 11 11 0132 0132 1302 1023 0 0 0 0 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 1 0 0 0 0 0 -4 0 0 4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790772536344 1.166601232845 12 7 1 13 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491184665818 1.560390944001 4 6 10 1 0132 0132 1302 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 -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 0.386326602353 0.352943115370 2 12 3 13 0132 0132 1302 1023 0 0 0 0 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 -1 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 0.512316808052 0.709309439836 14 12 15 2 0132 1230 0132 0132 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 -4 4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399381478977 0.450345361123 7 3 3 14 2031 0132 0321 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 0 -1 1 0 -1 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148944482764 0.830478055713 5 4 15 5 2031 0132 0321 1023 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 1 0 -1 0 1 0 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148944482764 0.830478055713 5 8 9 6 0132 0132 3012 1230 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 -1 1 0 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330819520558 0.926489280777 15 14 6 8 1230 1230 0132 1023 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.065770091955 0.799117243534 9 15 13 10 0132 1023 3012 2103 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 -1 1 0 0 0 0 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344070937719 1.388043057373 14 13 11 9 1023 3012 0321 0132 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 0 0 0 0 0 0 0 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344070937719 1.388043057373 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_0011_13']), 'c_1001_14' : negation(d['c_0011_13']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : d['c_0110_10'], 'c_1001_12' : d['c_0011_14'], 'c_1001_5' : d['c_0110_11'], 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : d['c_0110_10'], 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : d['c_0110_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : negation(d['c_0101_13']), 'c_1001_8' : d['c_0101_0'], 'c_1010_13' : d['c_0101_14'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : negation(d['c_0101_9']), 'c_1010_15' : negation(d['c_0101_13']), 'c_1010_14' : d['c_0101_9'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_13'], 'c_0101_10' : d['c_0101_10'], 'c_0101_15' : negation(d['c_0011_13']), 'c_0101_14' : d['c_0101_14'], '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' : d['c_0011_14'], 'c_0011_14' : d['c_0011_14'], 'c_1100_9' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_13'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_11'], 'c_1100_15' : d['c_1001_11'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_13']), 'c_1100_10' : negation(d['c_0101_9']), 'c_1100_13' : d['c_0101_10'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0110_11'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_11'], 'c_1100_14' : negation(d['c_0110_10']), 's_3_15' : d['1'], 'c_1010_9' : d['c_0101_12'], 's_0_15' : d['1'], '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' : d['c_0101_13'], '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' : negation(d['c_0011_14']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : d['c_0011_14'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0110_15' : d['c_0101_9'], 'c_0110_14' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_1010_0' : d['c_0101_12'], 's_3_12' : d['1'], 's_2_14' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_0011_14'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_14'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], '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_0101_14'], 'c_0110_8' : d['c_0101_14'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_13']})} 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_12, c_0101_13, c_0101_14, c_0101_9, c_0110_10, c_0110_11, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 19879/29*c_1001_11^5 + 7120315/696*c_1001_11^4 - 30925607/696*c_1001_11^3 + 10075803/232*c_1001_11^2 - 5736731/348*c_1001_11 + 1579879/696, c_0011_0 - 1, c_0011_10 - 5/16*c_1001_11^5 + 9/2*c_1001_11^4 - 145/8*c_1001_11^3 + 203/16*c_1001_11^2 - 115/16*c_1001_11 + 19/16, c_0011_11 - 5/8*c_1001_11^5 + 37/4*c_1001_11^4 - 79/2*c_1001_11^3 + 289/8*c_1001_11^2 - 119/8*c_1001_11 + 29/8, c_0011_13 + 3/4*c_1001_11^5 - 43/4*c_1001_11^4 + 169/4*c_1001_11^3 - 45/2*c_1001_11^2 + 23/4*c_1001_11 - 1, c_0011_14 - 11/8*c_1001_11^5 + 20*c_1001_11^4 - 327/4*c_1001_11^3 + 469/8*c_1001_11^2 - 157/8*c_1001_11 + 29/8, c_0101_0 + 5/16*c_1001_11^5 - 19/4*c_1001_11^4 + 171/8*c_1001_11^3 - 375/16*c_1001_11^2 + 123/16*c_1001_11 - 23/16, c_0101_1 + 17/16*c_1001_11^5 - 31/2*c_1001_11^4 + 509/8*c_1001_11^3 - 735/16*c_1001_11^2 + 199/16*c_1001_11 - 23/16, c_0101_10 + 17/16*c_1001_11^5 - 31/2*c_1001_11^4 + 509/8*c_1001_11^3 - 735/16*c_1001_11^2 + 199/16*c_1001_11 - 39/16, c_0101_12 - 3/4*c_1001_11^5 + 43/4*c_1001_11^4 - 169/4*c_1001_11^3 + 45/2*c_1001_11^2 - 19/4*c_1001_11, c_0101_13 - 7/8*c_1001_11^5 + 13*c_1001_11^4 - 223/4*c_1001_11^3 + 409/8*c_1001_11^2 - 145/8*c_1001_11 + 25/8, c_0101_14 - 3/16*c_1001_11^5 + 5/2*c_1001_11^4 - 63/8*c_1001_11^3 - 83/16*c_1001_11^2 + 91/16*c_1001_11 - 27/16, c_0101_9 + 27/16*c_1001_11^5 - 99/4*c_1001_11^4 + 825/8*c_1001_11^3 - 1313/16*c_1001_11^2 + 421/16*c_1001_11 - 65/16, c_0110_10 + 15/16*c_1001_11^5 - 14*c_1001_11^4 + 487/8*c_1001_11^3 - 953/16*c_1001_11^2 + 345/16*c_1001_11 - 49/16, c_0110_11 + 15/8*c_1001_11^5 - 109/4*c_1001_11^4 + 111*c_1001_11^3 - 615/8*c_1001_11^2 + 165/8*c_1001_11 - 27/8, c_1001_0 - 21/16*c_1001_11^5 + 19*c_1001_11^4 - 613/8*c_1001_11^3 + 803/16*c_1001_11^2 - 259/16*c_1001_11 + 43/16, c_1001_11^6 - 15*c_1001_11^5 + 66*c_1001_11^4 - 69*c_1001_11^3 + 32*c_1001_11^2 - 8*c_1001_11 + 1 ], 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_12, c_0101_13, c_0101_14, c_0101_9, c_0110_10, c_0110_11, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1006541/3843*c_1001_11^6 + 1516738/1281*c_1001_11^5 - 4469288/3843*c_1001_11^4 - 880739/549*c_1001_11^3 + 1221991/427*c_1001_11^2 - 949934/3843*c_1001_11 - 4254389/3843, c_0011_0 - 1, c_0011_10 - 2/7*c_1001_11^6 + 9/7*c_1001_11^5 - 6/7*c_1001_11^4 - 2*c_1001_11^3 + 8/7*c_1001_11^2 + 4/7*c_1001_11 + 4/7, c_0011_11 - 2/7*c_1001_11^6 + 9/7*c_1001_11^5 - 6/7*c_1001_11^4 - 2*c_1001_11^3 + 8/7*c_1001_11^2 + 4/7*c_1001_11 + 4/7, c_0011_13 - 1/7*c_1001_11^6 + 1/7*c_1001_11^5 + 4/7*c_1001_11^4 - 10/7*c_1001_11^2 + 2/7*c_1001_11 + 2/7, c_0011_14 + c_1001_11^2 - c_1001_11, c_0101_0 + 1, c_0101_1 + 2/7*c_1001_11^6 - 9/7*c_1001_11^5 + 13/7*c_1001_11^4 - 15/7*c_1001_11^2 + 17/7*c_1001_11 + 3/7, c_0101_10 + 1/7*c_1001_11^6 - 1/7*c_1001_11^5 - 4/7*c_1001_11^4 + c_1001_11^3 - 4/7*c_1001_11^2 - 2/7*c_1001_11 + 5/7, c_0101_12 - 1/7*c_1001_11^6 + 1/7*c_1001_11^5 + 4/7*c_1001_11^4 - c_1001_11^3 + 4/7*c_1001_11^2 + 2/7*c_1001_11 - 5/7, c_0101_13 + 3/7*c_1001_11^6 - 10/7*c_1001_11^5 + 2/7*c_1001_11^4 + 2*c_1001_11^3 - 5/7*c_1001_11^2 + 1/7*c_1001_11 - 6/7, c_0101_14 + 3/7*c_1001_11^6 - 10/7*c_1001_11^5 + 2/7*c_1001_11^4 + 2*c_1001_11^3 - 5/7*c_1001_11^2 + 1/7*c_1001_11 - 6/7, c_0101_9 - 1/7*c_1001_11^6 + 1/7*c_1001_11^5 + 4/7*c_1001_11^4 - 10/7*c_1001_11^2 + 2/7*c_1001_11 + 2/7, c_0110_10 + c_1001_11, c_0110_11 - 4/7*c_1001_11^6 + 18/7*c_1001_11^5 - 19/7*c_1001_11^4 - 2*c_1001_11^3 + 30/7*c_1001_11^2 - 13/7*c_1001_11 + 1/7, c_1001_0 + 4/7*c_1001_11^6 - 18/7*c_1001_11^5 + 19/7*c_1001_11^4 + 2*c_1001_11^3 - 30/7*c_1001_11^2 + 13/7*c_1001_11 - 1/7, c_1001_11^7 - 5*c_1001_11^6 + 7*c_1001_11^5 + 2*c_1001_11^4 - 11*c_1001_11^3 + 7*c_1001_11^2 - c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 628.610 Total time: 628.820 seconds, Total memory usage: 2371.00MB