Magma V2.19-8 Tue Aug 20 2013 23:39:04 on localhost [Seed = 1242312227] Type ? for help. Type -D to quit. Loading file "K11n181__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n181 geometric_solution 11.34500385 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 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 0 -1 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 0.025611660335 1.503174072989 0 4 5 2 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417204604713 1.436878191142 6 0 7 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563912861101 0.533849743459 8 8 5 0 0132 1230 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 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 0.376943225878 0.815596043754 1 9 0 10 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388882519197 0.510625972566 10 10 3 1 1023 0321 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 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 0.453606138107 0.631732830994 2 11 10 11 0132 0132 2103 0213 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 -5 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762454700580 0.498753295661 9 9 8 2 2310 0321 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 -1 0 1 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 0.370795549441 0.762775524859 3 11 3 7 0132 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 0 0 0 0 0 1 -1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533071824635 1.010297430492 11 4 7 7 0132 0132 3201 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 -1 1 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883979474565 0.610891665509 6 5 4 5 2103 1023 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250045525069 1.044454260565 9 6 8 6 0132 0132 3012 0213 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 5 1 -6 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 0.762454700580 0.498753295661 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_10'], '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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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_1100_9' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_7']), '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'], '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_0'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_0110_11' : negation(d['c_0101_2']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_3'], '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_10'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_3'])})} 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_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_1001_2, c_1001_3, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 284098763/1636736*c_1001_5^6 - 152503477/204592*c_1001_5^5 + 672732049/818368*c_1001_5^4 + 12044198251/1636736*c_1001_5^3 + 8306955003/818368*c_1001_5^2 + 447670469/102296*c_1001_5 - 3858336871/1636736, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 152/673*c_1001_5^6 + 709/673*c_1001_5^5 - 587/673*c_1001_5^4 - 6839/673*c_1001_5^3 - 10425/673*c_1001_5^2 - 5429/673*c_1001_5 + 2281/673, c_0011_7 + 549/673*c_1001_5^6 + 2273/673*c_1001_5^5 - 2833/673*c_1001_5^4 - 22492/673*c_1001_5^3 - 29697/673*c_1001_5^2 - 12768/673*c_1001_5 + 7083/673, c_0101_0 + 540/673*c_1001_5^6 + 2324/673*c_1001_5^5 - 2599/673*c_1001_5^4 - 23039/673*c_1001_5^3 - 31174/673*c_1001_5^2 - 13000/673*c_1001_5 + 7342/673, c_0101_1 - 319/673*c_1001_5^6 - 1333/673*c_1001_5^5 + 1564/673*c_1001_5^4 + 13215/673*c_1001_5^3 + 18164/673*c_1001_5^2 + 7555/673*c_1001_5 - 4579/673, c_0101_10 + 1715/673*c_1001_5^6 + 7331/673*c_1001_5^5 - 8248/673*c_1001_5^4 - 72466/673*c_1001_5^3 - 98944/673*c_1001_5^2 - 42309/673*c_1001_5 + 23031/673, c_0101_2 - 945/673*c_1001_5^6 - 4067/673*c_1001_5^5 + 4380/673*c_1001_5^4 + 40150/673*c_1001_5^3 + 56237/673*c_1001_5^2 + 24096/673*c_1001_5 - 12512/673, c_0101_3 - 1175/673*c_1001_5^6 - 5007/673*c_1001_5^5 + 5649/673*c_1001_5^4 + 49427/673*c_1001_5^3 + 67770/673*c_1001_5^2 + 29982/673*c_1001_5 - 15689/673, c_1001_2 - 945/673*c_1001_5^6 - 4067/673*c_1001_5^5 + 4380/673*c_1001_5^4 + 40150/673*c_1001_5^3 + 56237/673*c_1001_5^2 + 24096/673*c_1001_5 - 13185/673, c_1001_3 - 692/673*c_1001_5^6 - 3033/673*c_1001_5^5 + 3186/673*c_1001_5^4 + 29878/673*c_1001_5^3 + 41599/673*c_1001_5^2 + 18429/673*c_1001_5 - 9623/673, c_1001_5^7 + 4*c_1001_5^6 - 6*c_1001_5^5 - 41*c_1001_5^4 - 46*c_1001_5^3 - 8*c_1001_5^2 + 21*c_1001_5 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.860 Total time: 1.070 seconds, Total memory usage: 32.09MB