Magma V2.19-8 Wed Aug 21 2013 00:29:39 on localhost [Seed = 762002730] Type ? for help. Type -D to quit. Loading file "K14n16519__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n16519 geometric_solution 11.84736600 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755306143404 0.585395377041 0 4 5 5 0132 0132 2031 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 0.727459131929 0.496925322513 6 0 0 7 0132 0132 0321 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 -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 0.755306143404 0.585395377041 8 9 0 9 0132 0132 0132 0213 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 1 -1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324848708905 0.568325892946 10 1 11 12 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 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 -3 4 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 -0.438487418205 1.268025921817 6 8 1 1 3201 2310 0132 1302 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 -1 0 1 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 0.493894197603 0.663419797896 2 12 9 5 0132 0132 1302 2310 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792887576991 0.420322644198 8 11 2 11 1302 3120 0132 3012 0 0 0 0 0 0 0 0 0 0 -1 1 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 -1 1 0 0 -3 3 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366461550785 0.591324041552 3 7 12 5 0132 2031 1230 3201 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 -3 0 3 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 0.760517532839 1.207753470975 6 3 10 3 2031 0132 1230 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 0 -1 1 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324848708905 0.568325892946 4 12 11 9 0132 1023 2103 3012 0 0 0 0 0 1 0 -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 4 0 -4 -4 0 3 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 0.838477124736 1.653955369927 10 7 7 4 2103 3120 1230 0132 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 0 -3 3 -3 0 3 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 0.242782624379 1.221849435299 10 6 4 8 1023 0132 0132 3012 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 0 -4 4 -4 0 4 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 0.357951843553 0.426395815136 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_0']), 'c_1001_11' : negation(d['c_1001_0']), 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0110_5']), 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : negation(d['c_0110_7']), 'c_1010_12' : negation(d['c_0101_8']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0011_11'], '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_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_1100_8' : negation(d['c_0011_5']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0110_7'], 'c_1100_7' : d['c_1001_0'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_7'], 'c_1100_10' : negation(d['c_0101_4']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : 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'], 'c_1100_12' : d['c_0110_7'], '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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' : d['c_0101_4'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : negation(d['c_0011_5']), 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_8']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_4'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0110_7'], 'c_0011_10' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_4, c_0101_8, c_0110_5, c_0110_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 25782715073338/149301721253223*c_1001_2^5 + 3085879682542/13572883750293*c_1001_2^4 - 256604992846294/49767240417741*c_1001_2^3 + 327656652191719/49767240417741*c_1001_2^2 - 343812498865795/49767240417741*c_1001_2 + 54327836240320/16589080139247, c_0011_0 - 1, c_0011_11 - 2/63*c_1001_2^4 - c_1001_2^2 - 3/7, c_0011_3 + 10/63*c_1001_2^5 + 1/21*c_1001_2^4 + 14/3*c_1001_2^3 + c_1001_2^2 + 22/7*c_1001_2 - 13/7, c_0011_5 - 1, c_0011_7 - 5/63*c_1001_2^5 - 1/21*c_1001_2^4 - 7/3*c_1001_2^3 - c_1001_2^2 - 11/7*c_1001_2 - 8/7, c_0101_0 - 5/63*c_1001_2^5 - 1/21*c_1001_2^4 - 7/3*c_1001_2^3 - c_1001_2^2 - 11/7*c_1001_2 - 1/7, c_0101_1 - 1/21*c_1001_2^4 - c_1001_2^2 + 6/7, c_0101_4 + 1/21*c_1001_2^4 + 4/3*c_1001_2^2 + 8/7, c_0101_8 - 5/63*c_1001_2^5 - 1/21*c_1001_2^4 - 7/3*c_1001_2^3 - c_1001_2^2 - 11/7*c_1001_2 + 13/7, c_0110_5 - 1/21*c_1001_2^4 - c_1001_2^2 + 6/7, c_0110_7 + 2/63*c_1001_2^5 + 5/63*c_1001_2^4 + c_1001_2^3 + 2*c_1001_2^2 + 10/7*c_1001_2 + 18/7, c_1001_0 - 1/21*c_1001_2^4 - 4/3*c_1001_2^2 - c_1001_2 - 8/7, c_1001_2^6 + 30*c_1001_2^4 + 45*c_1001_2^2 + 27 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_4, c_0101_8, c_0110_5, c_0110_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 35454/35*c_1001_2^5 + 71482/35*c_1001_2^4 + 52732/5*c_1001_2^3 + 99563/5*c_1001_2^2 + 62369/7*c_1001_2 + 36062/7, c_0011_0 - 1, c_0011_11 - 2/7*c_1001_2^4 - 3*c_1001_2^2 - 3/7, c_0011_3 + 10/7*c_1001_2^5 - 1/7*c_1001_2^4 + 14*c_1001_2^3 - c_1001_2^2 + 22/7*c_1001_2 + 9/7, c_0011_5 + 1, c_0011_7 - 5/7*c_1001_2^5 + 1/7*c_1001_2^4 - 7*c_1001_2^3 + c_1001_2^2 - 11/7*c_1001_2 - 2/7, c_0101_0 + 5/7*c_1001_2^5 - 1/7*c_1001_2^4 + 7*c_1001_2^3 - c_1001_2^2 + 11/7*c_1001_2 - 5/7, c_0101_1 + 1/7*c_1001_2^4 + c_1001_2^2 - 2/7, c_0101_4 - 3/7*c_1001_2^4 - 4*c_1001_2^2 - 8/7, c_0101_8 - 5/7*c_1001_2^5 + 1/7*c_1001_2^4 - 7*c_1001_2^3 + c_1001_2^2 - 11/7*c_1001_2 - 9/7, c_0110_5 - 1/7*c_1001_2^4 - c_1001_2^2 + 2/7, c_0110_7 + 2/7*c_1001_2^5 - 3/7*c_1001_2^4 + 3*c_1001_2^3 - 4*c_1001_2^2 + 10/7*c_1001_2 - 8/7, c_1001_0 - 3/7*c_1001_2^4 - 4*c_1001_2^2 + c_1001_2 - 8/7, c_1001_2^6 + 10*c_1001_2^4 + 5*c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 21.050 Total time: 21.260 seconds, Total memory usage: 200.31MB