Magma V2.19-8 Wed Aug 21 2013 01:04:32 on localhost [Seed = 156176754] Type ? for help. Type -D to quit. Loading file "L14n24309__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24309 geometric_solution 12.00806325 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 0 1 0 0 0 0 0 0 1 -1 -1 0 0 1 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 -6 6 0 1 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767446452829 0.797846591719 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 -1 0 0 1 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 -5 5 6 0 0 -6 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.466968454138 0.814048411065 6 0 8 3 3012 0132 0132 3012 1 1 1 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 -1 0 0 0 0 0 0 -6 0 6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336721640737 1.155227330170 9 9 2 0 0132 2310 1230 0132 1 1 1 1 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137428185550 0.765257084024 10 5 0 7 0132 1302 0132 0132 1 1 1 0 0 0 0 0 -1 0 1 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 -1 1 6 0 -6 0 0 5 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000963014977 0.966779913383 11 1 12 4 0132 0132 0132 2031 1 1 0 1 0 0 -1 1 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 -1 6 -5 0 0 0 0 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.199587842743 0.827706234048 11 10 1 2 1230 3120 0132 1230 1 1 0 1 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 0 0 0 5 0 -5 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450603448222 0.687580445876 10 8 4 1 3120 1023 0132 0132 1 1 0 1 0 0 0 0 1 0 0 -1 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 -1 1 -5 0 0 5 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162862024419 0.529929335203 7 11 12 2 1023 1230 3120 0132 1 1 0 1 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 1 0 0 -1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399460833308 2.303647341196 3 12 11 3 0132 3012 1230 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346886328787 1.382851846905 4 6 12 7 0132 3120 2310 3120 1 1 0 1 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 0 -5 5 -6 0 1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.710640030517 0.568982558653 5 6 8 9 0132 3012 3012 3012 1 1 1 0 0 -1 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 0 0 0 0 0 6 -6 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746855881693 0.460733149841 9 10 8 5 1230 3201 3120 0132 1 1 1 1 0 0 -1 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 0 0 0 0 6 -6 0 0 0 0 0 5 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.099674685252 1.038548891242 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_0_11' : negation(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_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0110_2'], 'c_1100_7' : d['c_0110_2'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_12'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0101_12']), 's_3_1' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_8']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : 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_10, c_0011_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_0101_8, c_0110_2, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 942528775316/208936790225*c_1001_10^9 - 1638761788137/41787358045*c_1001_10^8 + 30978808503337/208936790225*c_1001_10^7 - 8843479715277/208936790225*c_1001_10^6 - 25340754595149/208936790225*c_1001_10^5 + 45796134542316/208936790225*c_1001_10^4 + 7069990917306/41787358045*c_1001_10^3 - 2702223237913/41787358045*c_1001_10^2 - 1429856421/2458079885*c_1001_10 + 764000755258/208936790225, c_0011_0 - 1, c_0011_10 - 98664460/491615977*c_1001_10^9 + 785464535/491615977*c_1001_10^8 - 2607239444/491615977*c_1001_10^7 - 1512160175/491615977*c_1001_10^6 + 3577115585/491615977*c_1001_10^5 - 3014477926/491615977*c_1001_10^4 - 6895022550/491615977*c_1001_10^3 - 1005098482/491615977*c_1001_10^2 + 957998707/491615977*c_1001_10 + 468508830/491615977, c_0011_12 - 37218538/491615977*c_1001_10^9 + 308094759/491615977*c_1001_10^8 - 1102234246/491615977*c_1001_10^7 - 29578659/491615977*c_1001_10^6 + 588250503/491615977*c_1001_10^5 - 802660734/491615977*c_1001_10^4 - 2056355745/491615977*c_1001_10^3 - 735803873/491615977*c_1001_10^2 - 21687344/491615977*c_1001_10 + 290732294/491615977, c_0011_3 - 25028835/491615977*c_1001_10^9 + 104026729/491615977*c_1001_10^8 + 110007929/491615977*c_1001_10^7 - 3029978697/491615977*c_1001_10^6 - 2682377/491615977*c_1001_10^5 + 2177794001/491615977*c_1001_10^4 - 5123090861/491615977*c_1001_10^3 - 6359992124/491615977*c_1001_10^2 - 766725284/491615977*c_1001_10 + 419896648/491615977, c_0011_6 - 64362409/491615977*c_1001_10^9 + 569166084/491615977*c_1001_10^8 - 2182311336/491615977*c_1001_10^7 + 783062240/491615977*c_1001_10^6 + 2123594417/491615977*c_1001_10^5 - 3332123145/491615977*c_1001_10^4 - 2076032699/491615977*c_1001_10^3 + 1480352267/491615977*c_1001_10^2 + 593007961/491615977*c_1001_10 + 265317769/491615977, c_0101_0 - 1, c_0101_1 - 123807197/491615977*c_1001_10^9 + 965614320/491615977*c_1001_10^8 - 3159616303/491615977*c_1001_10^7 - 2033145504/491615977*c_1001_10^6 + 2768446305/491615977*c_1001_10^5 - 3097340562/491615977*c_1001_10^4 - 8096445218/491615977*c_1001_10^3 - 5145068052/491615977*c_1001_10^2 - 1059556262/491615977*c_1001_10 + 258007932/491615977, c_0101_11 - 151/400013*c_1001_10^9 - 64403/400013*c_1001_10^8 + 534961/400013*c_1001_10^7 - 1897334/400013*c_1001_10^6 - 302639/400013*c_1001_10^5 + 1610380/400013*c_1001_10^4 - 1996881/400013*c_1001_10^3 - 3809113/400013*c_1001_10^2 - 632318/400013*c_1001_10 + 240919/400013, c_0101_12 - 1, c_0101_3 + 192339622/491615977*c_1001_10^9 - 1553485565/491615977*c_1001_10^8 + 5329324376/491615977*c_1001_10^7 + 1782773480/491615977*c_1001_10^6 - 5241445069/491615977*c_1001_10^5 + 6701863781/491615977*c_1001_10^4 + 11358589978/491615977*c_1001_10^3 + 3214547119/491615977*c_1001_10^2 + 803285633/491615977*c_1001_10 + 262096943/491615977, c_0101_8 + 59444788/491615977*c_1001_10^9 - 396448236/491615977*c_1001_10^8 + 977304967/491615977*c_1001_10^7 + 2816207744/491615977*c_1001_10^6 - 644851888/491615977*c_1001_10^5 - 234782583/491615977*c_1001_10^4 + 6020412519/491615977*c_1001_10^3 + 6625420319/491615977*c_1001_10^2 + 1652564223/491615977*c_1001_10 - 484306140/491615977, c_0110_2 + 123507716/491615977*c_1001_10^9 - 968642551/491615977*c_1001_10^8 + 3154698584/491615977*c_1001_10^7 + 2210315386/491615977*c_1001_10^6 - 3946376539/491615977*c_1001_10^5 + 2815840945/491615977*c_1001_10^4 + 9563946662/491615977*c_1001_10^3 + 2683690729/491615977*c_1001_10^2 - 968392245/491615977*c_1001_10 - 592316027/491615977, c_1001_10^10 - 8*c_1001_10^9 + 27*c_1001_10^8 + 12*c_1001_10^7 - 28*c_1001_10^6 + 28*c_1001_10^5 + 67*c_1001_10^4 + 20*c_1001_10^3 - 5*c_1001_10^2 - 2*c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB