Magma V2.19-8 Tue Aug 20 2013 23:47:06 on localhost [Seed = 1595487587] Type ? for help. Type -D to quit. Loading file "K14n8016__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n8016 geometric_solution 10.83706370 oriented_manifold CS_known 0.0000000000000001 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 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 16 -16 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353852753938 0.582023501713 0 3 5 5 0132 1023 0213 0132 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 -1 0 0 1 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467344232012 1.668531953063 6 0 7 7 0132 0132 3012 0132 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 1 0 -1 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649666475334 0.298539103359 1 8 5 0 1023 0132 2103 0132 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 0 1 -1 0 0 1 0 0 0 0 0 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.376999375840 1.112800981743 8 9 0 10 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 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 0.478519408156 0.392778468559 3 1 1 10 2103 0213 0132 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 1 0 -1 0 0 0 0 0 0 0 0 17 -16 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173632400103 0.543899503339 2 8 11 11 0132 1023 0132 3201 0 0 0 0 0 1 -1 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 16 -17 1 0 0 0 0 0 -17 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729114861040 0.584005677163 9 2 2 8 3120 1230 0132 3012 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 0 0 0 0 0 0 0 16 0 -16 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524229173709 0.883454699213 6 3 7 4 1023 0132 1230 1230 0 0 0 0 0 0 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 0 0 0 0 0 1 0 -1 -16 0 16 0 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621500722078 0.882861679056 10 4 11 7 0132 0132 2103 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 0.387063313464 0.517167612545 9 11 4 5 0132 1230 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 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 0.225253186744 1.142857566461 9 6 10 6 2103 2310 3012 0132 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 -17 0 17 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 0.164502122975 0.669216236719 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0101_11'], '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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_1001_0']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0110_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_11']), 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : d['c_0101_10'], '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' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_10'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0101_2']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_2']})} 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_11, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 77028/1891*c_0101_6*c_1001_0^8 - 236194/1891*c_0101_6*c_1001_0^7 - 232041/1891*c_0101_6*c_1001_0^6 - 504728/1891*c_0101_6*c_1001_0^5 - 591876/1891*c_0101_6*c_1001_0^4 - 778366/1891*c_0101_6*c_1001_0^3 - 683038/1891*c_0101_6*c_1001_0^2 - 412762/1891*c_0101_6*c_1001_0 - 314915/1891*c_0101_6 + 19509/1891*c_1001_0^8 + 56032/1891*c_1001_0^7 + 54361/1891*c_1001_0^6 + 136451/1891*c_1001_0^5 + 139510/1891*c_1001_0^4 + 201585/1891*c_1001_0^3 + 166887/1891*c_1001_0^2 + 127370/1891*c_1001_0 + 78946/1891, c_0011_0 - 1, c_0011_10 + 13/61*c_0101_6*c_1001_0^8 - 18/61*c_0101_6*c_1001_0^7 - 95/61*c_0101_6*c_1001_0^6 - 4/61*c_0101_6*c_1001_0^5 - 242/61*c_0101_6*c_1001_0^4 - 54/61*c_0101_6*c_1001_0^3 - 372/61*c_0101_6*c_1001_0^2 - 80/61*c_0101_6*c_1001_0 - 175/61*c_0101_6 + 44/61*c_1001_0^8 + 108/61*c_1001_0^7 + 82/61*c_1001_0^6 + 268/61*c_1001_0^5 + 171/61*c_1001_0^4 + 385/61*c_1001_0^3 + 158/61*c_1001_0^2 + 236/61*c_1001_0 + 13/61, c_0011_11 + 44/61*c_0101_6*c_1001_0^8 + 108/61*c_0101_6*c_1001_0^7 + 82/61*c_0101_6*c_1001_0^6 + 268/61*c_0101_6*c_1001_0^5 + 171/61*c_0101_6*c_1001_0^4 + 385/61*c_0101_6*c_1001_0^3 + 158/61*c_0101_6*c_1001_0^2 + 236/61*c_0101_6*c_1001_0 + 13/61*c_0101_6 + 1, c_0011_5 - 7/61*c_1001_0^8 + 5/61*c_1001_0^7 + 23/61*c_1001_0^6 - 26/61*c_1001_0^5 + 135/61*c_1001_0^4 - 46/61*c_1001_0^3 + 205/61*c_1001_0^2 - 32/61*c_1001_0 + 113/61, c_0011_7 + 20/61*c_1001_0^8 + 38/61*c_1001_0^7 + 4/61*c_1001_0^6 + 83/61*c_1001_0^5 - 11/61*c_1001_0^4 + 114/61*c_1001_0^3 - 28/61*c_1001_0^2 + 13/61*c_1001_0 - 44/61, c_0101_0 + 55/61*c_1001_0^8 + 135/61*c_1001_0^7 + 72/61*c_1001_0^6 + 274/61*c_1001_0^5 + 229/61*c_1001_0^4 + 405/61*c_1001_0^3 + 167/61*c_1001_0^2 + 173/61*c_1001_0 + 62/61, c_0101_10 - 17/61*c_0101_6*c_1001_0^8 - 14/61*c_0101_6*c_1001_0^7 + 21/61*c_0101_6*c_1001_0^6 - 98/61*c_0101_6*c_1001_0^5 + 49/61*c_0101_6*c_1001_0^4 - 164/61*c_0101_6*c_1001_0^3 + 97/61*c_0101_6*c_1001_0^2 - 130/61*c_0101_6*c_1001_0 + 13/61*c_0101_6 - 13/61*c_1001_0^8 - 43/61*c_1001_0^7 - 27/61*c_1001_0^6 - 57/61*c_1001_0^5 - 124/61*c_1001_0^4 - 68/61*c_1001_0^3 - 177/61*c_1001_0^2 + 19/61*c_1001_0 - 69/61, c_0101_11 - 1, c_0101_2 - 44/61*c_0101_6*c_1001_0^8 - 108/61*c_0101_6*c_1001_0^7 - 82/61*c_0101_6*c_1001_0^6 - 268/61*c_0101_6*c_1001_0^5 - 171/61*c_0101_6*c_1001_0^4 - 385/61*c_0101_6*c_1001_0^3 - 158/61*c_0101_6*c_1001_0^2 - 236/61*c_0101_6*c_1001_0 - 13/61*c_0101_6 - 1, c_0101_6^2 - 34/61*c_0101_6*c_1001_0^8 - 28/61*c_0101_6*c_1001_0^7 + 42/61*c_0101_6*c_1001_0^6 - 196/61*c_0101_6*c_1001_0^5 + 98/61*c_0101_6*c_1001_0^4 - 328/61*c_0101_6*c_1001_0^3 + 194/61*c_0101_6*c_1001_0^2 - 199/61*c_0101_6*c_1001_0 + 26/61*c_0101_6 + 7/61*c_1001_0^8 - 5/61*c_1001_0^7 - 23/61*c_1001_0^6 + 26/61*c_1001_0^5 - 135/61*c_1001_0^4 + 46/61*c_1001_0^3 - 266/61*c_1001_0^2 + 32/61*c_1001_0 - 52/61, c_0110_5 + 69/61*c_1001_0^8 + 125/61*c_1001_0^7 + 26/61*c_1001_0^6 + 387/61*c_1001_0^5 + 81/61*c_1001_0^4 + 497/61*c_1001_0^3 + 1/61*c_1001_0^2 + 237/61*c_1001_0 + 19/61, c_1001_0^9 + 2*c_1001_0^8 + c_1001_0^7 + 6*c_1001_0^6 + 2*c_1001_0^5 + 9*c_1001_0^4 + c_1001_0^3 + 6*c_1001_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 13.360 Total time: 13.570 seconds, Total memory usage: 102.00MB