Magma V2.19-8 Wed Aug 21 2013 00:57:35 on localhost [Seed = 2951329123] Type ? for help. Type -D to quit. Loading file "L13n4359__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4359 geometric_solution 12.00802170 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 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 0.695904143637 1.421122326043 0 5 7 6 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 -2 2 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 0.616877748561 0.348229024612 8 0 7 9 0132 0132 3120 0132 1 1 1 1 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 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.176322186477 0.743611006304 6 10 6 0 0132 0132 3012 0132 1 1 1 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 0 -1 0 0 1 -1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.325714713693 0.496541533114 11 11 0 5 0132 2310 0132 3012 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499824123883 0.778534946954 7 1 4 9 0132 0132 1230 2103 1 1 1 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498374658015 0.564650963773 3 3 1 12 0132 1230 0132 0132 1 1 0 1 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 0 1 0 0 0 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.961596816808 0.708116827331 5 8 2 1 0132 0132 3120 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 1.121306596996 0.867481235045 2 7 9 11 0132 0132 2310 0321 1 1 1 1 0 0 1 -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 0 2 -2 1 0 -1 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245726777697 1.065357612900 10 8 2 5 2310 3201 0132 2103 1 1 1 1 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 -2 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283248483757 1.107223822322 12 3 9 12 0132 0132 3201 2031 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 0 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 0.445364059354 1.076058670579 4 8 12 4 0132 0321 0132 3201 1 1 1 1 0 1 0 -1 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 2 -1 -1 0 0 0 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829364726794 0.568128819056 10 10 6 11 0132 1302 0132 0132 1 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 0 0 0 0 0 -1 1 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 0.671621310944 0.793406491096 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : negation(d['c_1001_2']), 'c_1010_10' : negation(d['c_0011_10']), '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_9'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : negation(d['c_1001_2']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_11'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_10'], '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_0101_1'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1']})} 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_10, c_0011_11, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_7, c_0101_8, c_1001_1, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 10832827120/398330163*c_1001_5^5 - 120771179377/796660326*c_1001_5^4 - 1273564211540/3053864583*c_1001_5^3 - 12334733820205/18323187498*c_1001_5^2 - 3745864962649/6107729166*c_1001_5 - 4831959478265/18323187498, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 566743/876414*c_1001_5^5 + 903187/438207*c_1001_5^4 + 664428/146069*c_1001_5^3 + 2247116/438207*c_1001_5^2 + 1133477/292138*c_1001_5 + 1658045/876414, c_0011_9 + 84548/438207*c_1001_5^5 + 378143/438207*c_1001_5^4 + 259459/146069*c_1001_5^3 + 850697/438207*c_1001_5^2 + 681463/438207*c_1001_5 + 436895/438207, c_0101_0 + 140254/438207*c_1001_5^5 + 121969/146069*c_1001_5^4 + 444067/292138*c_1001_5^3 + 703355/876414*c_1001_5^2 - 299636/438207*c_1001_5 - 43465/292138, c_0101_1 - 33281/62601*c_1001_5^5 - 176801/125202*c_1001_5^4 - 139767/41734*c_1001_5^3 - 228275/62601*c_1001_5^2 - 132719/41734*c_1001_5 - 68851/62601, c_0101_10 + 74934/146069*c_1001_5^5 + 744050/438207*c_1001_5^4 + 962985/292138*c_1001_5^3 + 801583/292138*c_1001_5^2 + 820034/438207*c_1001_5 + 743395/876414, c_0101_12 + 660629/1314621*c_1001_5^5 + 2959249/1314621*c_1001_5^4 + 3979705/876414*c_1001_5^3 + 15269377/2629242*c_1001_5^2 + 434895/146069*c_1001_5 + 5499125/2629242, c_0101_7 + 68287/876414*c_1001_5^5 + 187519/876414*c_1001_5^4 + 168431/292138*c_1001_5^3 + 201506/438207*c_1001_5^2 + 374797/438207*c_1001_5 + 179659/876414, c_0101_8 - 574103/2629242*c_1001_5^5 - 894056/1314621*c_1001_5^4 - 1099199/876414*c_1001_5^3 - 3585539/2629242*c_1001_5^2 - 518537/876414*c_1001_5 + 33700/1314621, c_1001_1 + 104558/1314621*c_1001_5^5 + 118519/1314621*c_1001_5^4 + 320029/876414*c_1001_5^3 + 2374903/2629242*c_1001_5^2 + 448097/438207*c_1001_5 + 1342211/2629242, c_1001_2 - 239867/2629242*c_1001_5^5 - 930764/1314621*c_1001_5^4 - 661876/438207*c_1001_5^3 - 3289828/1314621*c_1001_5^2 - 1604321/876414*c_1001_5 - 5574397/2629242, c_1001_5^6 + 4*c_1001_5^5 + 233/23*c_1001_5^4 + 332/23*c_1001_5^3 + 334/23*c_1001_5^2 + 208/23*c_1001_5 + 101/23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB