Magma V2.19-8 Wed Aug 21 2013 01:09:29 on localhost [Seed = 2328662798] Type ? for help. Type -D to quit. Loading file "L14n46784__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n46784 geometric_solution 11.86770725 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 2 0132 0132 2031 1230 1 1 2 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 -1 -1 2 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 0.506503943529 1.198869567253 0 3 3 0 0132 0132 1302 1302 1 1 1 2 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 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700971996801 0.707784366483 0 0 5 4 3012 0132 0132 0132 1 1 1 2 0 -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 1 -1 0 -2 0 2 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 0.293603193417 0.713261897073 1 1 4 6 2031 0132 2310 0132 1 1 2 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 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 0.293603193417 0.713261897073 7 3 2 7 0132 3201 0132 1023 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 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 -0.163069233294 0.816330702961 8 9 10 2 0132 0132 0132 0132 1 1 2 1 0 1 0 -1 -1 0 0 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 -1 0 1 2 0 0 -2 0 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108624961121 1.059862259238 11 12 3 10 0132 0132 0132 2310 1 1 1 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 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 0.108624961121 1.059862259238 4 10 10 4 0132 0132 1023 1023 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 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 1.859983867326 1.389038030523 5 11 9 12 0132 0132 1023 1302 0 1 1 2 0 -1 1 0 1 0 0 -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 1 -1 -2 0 0 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 0.452152121461 0.466855501025 12 5 8 11 0132 0132 1023 3012 1 0 1 2 0 -1 0 1 0 0 -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 1 0 -1 0 0 -1 1 -2 2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929552955340 1.105256544503 6 7 7 5 3201 0132 1023 0132 1 1 1 1 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 1 1 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213543341824 0.592376690077 6 8 9 12 0132 0132 1230 1023 0 1 2 1 0 1 -1 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 0.929552955340 1.105256544503 9 6 8 11 0132 0132 2031 1023 1 0 2 1 0 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 -1 1 0 0 0 1 -1 -1 1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452152121461 0.466855501025 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_7'], 'c_1001_12' : negation(d['c_0101_5']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0101_10'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1100_10'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_1100_10'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_12'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['c_0101_12']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : 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_5'], 'c_0110_12' : d['c_0101_9'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : negation(d['c_0101_10']), '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_0101_0, c_0101_10, c_0101_12, c_0101_2, c_0101_4, c_0101_5, c_0101_6, c_0101_7, c_0101_9, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 5091981608170642/810634603924431*c_1100_10^8 - 1237646249683172/26149503352401*c_1100_10^7 - 2734722338702495/30023503849053*c_1100_10^6 + 17341411936310555/1621269207848862*c_1100_10^5 + 62569620401656097/1621269207848862*c_1100_10^4 - 60279730685816095/540423069282954*c_1100_10^3 - 729117293203523/73694054902221*c_1100_10^2 + 260525566782274529/1621269207848862*c_1100_10 - 194783203802943191/1621269207848862, c_0011_0 - 1, c_0011_10 - c_1100_10, c_0011_11 - 35240/366769*c_1100_10^8 - 293496/366769*c_1100_10^7 - 691764/366769*c_1100_10^6 - 189288/366769*c_1100_10^5 + 405478/366769*c_1100_10^4 - 385746/366769*c_1100_10^3 + 176824/366769*c_1100_10^2 + 852326/366769*c_1100_10 - 261280/366769, c_0101_0 - 1, c_0101_10 + 22666/366769*c_1100_10^8 + 143146/366769*c_1100_10^7 + 134618/366769*c_1100_10^6 - 321955/366769*c_1100_10^5 + 64880/366769*c_1100_10^4 + 274710/366769*c_1100_10^3 - 234711/366769*c_1100_10^2 + 246570/366769*c_1100_10 + 426581/366769, c_0101_12 - 17620/366769*c_1100_10^8 - 146748/366769*c_1100_10^7 - 345882/366769*c_1100_10^6 - 94644/366769*c_1100_10^5 + 202739/366769*c_1100_10^4 - 192873/366769*c_1100_10^3 + 88412/366769*c_1100_10^2 + 426163/366769*c_1100_10 - 130640/366769, c_0101_2 - 2829/366769*c_1100_10^8 - 7575/366769*c_1100_10^7 + 65238/366769*c_1100_10^6 + 225931/366769*c_1100_10^5 + 52971/366769*c_1100_10^4 - 36941/366769*c_1100_10^3 + 439414/366769*c_1100_10^2 + 133305/366769*c_1100_10 - 288246/366769, c_0101_4 + 2829/366769*c_1100_10^8 + 7575/366769*c_1100_10^7 - 65238/366769*c_1100_10^6 - 225931/366769*c_1100_10^5 - 52971/366769*c_1100_10^4 + 36941/366769*c_1100_10^3 - 439414/366769*c_1100_10^2 - 133305/366769*c_1100_10 - 78523/366769, c_0101_5 - 52298/366769*c_1100_10^8 - 370286/366769*c_1100_10^7 - 671002/366769*c_1100_10^6 - 152107/366769*c_1100_10^5 - 483944/366769*c_1100_10^4 - 512810/366769*c_1100_10^3 - 49067/366769*c_1100_10^2 + 177370/366769*c_1100_10 - 562187/366769, c_0101_6 + 2829/366769*c_1100_10^8 + 7575/366769*c_1100_10^7 - 65238/366769*c_1100_10^6 - 225931/366769*c_1100_10^5 - 52971/366769*c_1100_10^4 + 36941/366769*c_1100_10^3 - 439414/366769*c_1100_10^2 - 133305/366769*c_1100_10 + 288246/366769, c_0101_7 - 5658/366769*c_1100_10^8 - 15150/366769*c_1100_10^7 + 130476/366769*c_1100_10^6 + 451862/366769*c_1100_10^5 + 105942/366769*c_1100_10^4 - 73882/366769*c_1100_10^3 + 512059/366769*c_1100_10^2 - 100159/366769*c_1100_10 - 209723/366769, c_0101_9 - 1, c_1100_10^9 + 8*c_1100_10^8 + 18*c_1100_10^7 + 5*c_1100_10^6 - 7*c_1100_10^5 + 15*c_1100_10^4 + 10*c_1100_10^3 - 25*c_1100_10^2 + 7*c_1100_10 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB