Magma V2.19-8 Tue Aug 20 2013 16:17:46 on localhost [Seed = 3515895090] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2014 geometric_solution 5.56288893 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 -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 0.769799299814 1.191938772910 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.737265557381 0.401503717771 3 4 5 0 1302 0132 0132 0132 0 0 0 0 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 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 0.662109980119 0.581527132960 4 2 0 5 2310 2031 0132 2310 0 0 0 0 0 1 -1 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 -1 1 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 0.662109980119 0.581527132960 6 2 3 6 0132 0132 3201 3201 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472516658111 0.182835150236 3 6 6 2 3201 2310 1023 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 0 0 0 -1 0 0 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 0.117685565852 0.767216030764 4 4 5 5 0132 2310 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804661640684 1.273450313177 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 44123458/1061759*c_0101_6^5 + 217246531/1061759*c_0101_6^4 + 60844463/1061759*c_0101_6^3 - 6503305761/7432313*c_0101_6^2 - 229150189/2123518*c_0101_6 + 612329991/1061759, c_0011_0 - 1, c_0011_2 + 23541/1061759*c_0101_6^5 - 7007/1061759*c_0101_6^4 - 471975/1061759*c_0101_6^3 + 88343/1061759*c_0101_6^2 + 1112071/1061759*c_0101_6 + 314918/1061759, c_0011_5 + 23541/1061759*c_0101_6^5 - 7007/1061759*c_0101_6^4 - 471975/1061759*c_0101_6^3 + 88343/1061759*c_0101_6^2 + 2173830/1061759*c_0101_6 + 314918/1061759, c_0101_0 + 218498/1061759*c_0101_6^5 - 949046/1061759*c_0101_6^4 - 687729/1061759*c_0101_6^3 + 3878638/1061759*c_0101_6^2 + 1786676/1061759*c_0101_6 - 1000800/1061759, c_0101_1 - 23541/1061759*c_0101_6^5 + 7007/1061759*c_0101_6^4 + 471975/1061759*c_0101_6^3 - 88343/1061759*c_0101_6^2 - 2173830/1061759*c_0101_6 - 314918/1061759, c_0101_4 - 168518/1061759*c_0101_6^5 + 987210/1061759*c_0101_6^4 - 387254/1061759*c_0101_6^3 - 3280012/1061759*c_0101_6^2 - 60226/1061759*c_0101_6 + 460836/1061759, c_0101_6^6 - 5*c_0101_6^5 - c_0101_6^4 + 148/7*c_0101_6^3 + c_0101_6^2 - 14*c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 144609415425591/1081458586430*c_0101_6^13 + 138908417917138/540729293215*c_0101_6^12 - 807566247891731/540729293215*c_0101_6^11 - 305858811909056/108145858643*c_0101_6^10 + 3451176321067417/1081458586430*c_0101_6^9 + 355861011523147/1081458586430*c_0101_6^8 - 4312329365536828/540729293215*c_0101_6^7 + 6181551813891613/216291717286*c_0101_6^6 + 26908097167254189/540729293215*c_0101_6^5 + 20652020166628813/1081458586430*c_0101_6^4 + 10758678457106079/540729293215*c_0101_6^3 + 4791210212069261/540729293215*c_0101_6^2 + 5228192440183137/1081458586430*c_0101_6 + 630965713727371/1081458586430, c_0011_0 - 1, c_0011_2 - 210429722/5691887297*c_0101_6^13 - 1345150911/5691887297*c_0101_6^12 + 2512181173/5691887297*c_0101_6^11 + 14913510406/5691887297*c_0101_6^10 - 7088808443/5691887297*c_0101_6^9 - 22028298962/5691887297*c_0101_6^8 + 56037154368/5691887297*c_0101_6^7 - 71498232778/5691887297*c_0101_6^6 - 237419753480/5691887297*c_0101_6^5 - 43504668463/5691887297*c_0101_6^4 - 83778234549/5691887297*c_0101_6^3 - 43422805754/5691887297*c_0101_6^2 - 23523898470/5691887297*c_0101_6 - 2671654010/5691887297, c_0011_5 - c_0101_6, c_0101_0 + 900386474/5691887297*c_0101_6^13 - 141042400/5691887297*c_0101_6^12 - 9703852526/5691887297*c_0101_6^11 + 1530382887/5691887297*c_0101_6^10 + 17846815046/5691887297*c_0101_6^9 - 39407399433/5691887297*c_0101_6^8 + 27282359084/5691887297*c_0101_6^7 + 142640798590/5691887297*c_0101_6^6 + 28719216836/5691887297*c_0101_6^5 + 78833640821/5691887297*c_0101_6^4 + 44807499402/5691887297*c_0101_6^3 + 29636257861/5691887297*c_0101_6^2 + 4461475614/5691887297*c_0101_6 + 4728503807/5691887297, c_0101_1 - 1041428874/5691887297*c_0101_6^13 + 59356288/5691887297*c_0101_6^12 + 11635032789/5691887297*c_0101_6^1\ 1 - 431304495/5691887297*c_0101_6^10 - 25162130283/5691887297*c_0101_6^9 + 40997761617/5691887297*c_0101_6^8 - 18257615392/5691887297*c_0101_6^7 - 177989936486/5691887297*c_0101_6^6 - 50915161767/5691887297*c_0101_6^5 - 25823014461/5691887297*c_0101_6^4 + 2412839343/5691887297*c_0101_6^3 - 5519271381/5691887297*c_0101_6^2 + 1986887629/5691887297*c_0101_6 + 3828117333/5691887297, c_0101_4 - 714680993/5691887297*c_0101_6^13 - 983443632/5691887297*c_0101_6^12 + 8349794171/5691887297*c_0101_6^11 + 10617235503/5691887297*c_0101_6^10 - 20895147337/5691887297*c_0101_6^9 + 8573800528/5691887297*c_0101_6^8 + 34008518848/5691887297*c_0101_6^7 - 159872509527/5691887297*c_0101_6^6 - 188012487344/5691887297*c_0101_6^5 - 28991842836/5691887297*c_0101_6^4 - 75734014584/5691887297*c_0101_6^3 - 29432964863/5691887297*c_0101_6^2 - 16754394581/5691887297*c_0101_6 - 999624672/5691887297, c_0101_6^14 + 2*c_0101_6^13 - 11*c_0101_6^12 - 22*c_0101_6^11 + 22*c_0101_6^10 + 4*c_0101_6^9 - 59*c_0101_6^8 + 209*c_0101_6^7 + 388*c_0101_6^6 + 176*c_0101_6^5 + 166*c_0101_6^4 + 80*c_0101_6^3 + 44*c_0101_6^2 + 8*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB