Magma V2.19-8 Wed Aug 21 2013 01:01:24 on localhost [Seed = 156177091] Type ? for help. Type -D to quit. Loading file "L14n1132__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1132 geometric_solution 12.48143691 oriented_manifold CS_known -0.0000000000000006 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 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 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 0.340118497730 1.531667770243 0 5 6 2 0132 0132 0132 2103 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 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 0.237243725499 0.550672456782 4 0 6 1 1302 0132 0321 2103 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 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 0.066360725696 0.682134805664 6 7 8 0 1302 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 -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 0.136123891720 0.604846111899 6 2 0 5 0321 2031 0132 3120 1 1 1 1 0 0 0 0 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 -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 0.514044910632 0.983187464766 4 1 8 7 3120 0132 3120 3120 1 1 1 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 1 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 0.645850583381 1.573609856184 4 3 2 1 0321 2031 0321 0132 1 1 1 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 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 0.582382800850 0.798755102488 5 3 9 10 3120 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 1 -1 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 0.620066097820 1.359905004042 11 12 5 3 0132 0132 3120 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 0 0 -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 0.620066097820 1.359905004042 11 12 12 7 3120 0321 3201 0132 1 1 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 0 -1 1 1 0 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442433932770 0.687988653850 11 12 7 11 2103 0213 0132 3201 1 1 0 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442433932770 0.687988653850 8 10 10 9 0132 2310 2103 3120 0 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 -1 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 0 0 0 0.442433932770 0.687988653850 9 8 10 9 2310 0132 0213 0321 1 0 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 1 0 1 -2 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442433932770 0.687988653850 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0110_2']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : 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' : negation(d['c_0011_6']), 'c_0101_10' : negation(d['c_0011_6']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(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' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_0110_2']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : negation(d['c_0101_5']), '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' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0101_7'], 'c_0110_10' : d['c_0011_9'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_4'])})} 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_3, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_5, c_0101_7, c_0110_2, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 5225744847698587/63463656014557550*c_1001_10^7 - 44053366567129/619157619654220*c_1001_10^6 + 4783642112594421/6346365601455755*c_1001_10^5 - 70429926402692709/25385462405823020*c_1001_10^4 + 70421602807531148/31731828007278775*c_1001_10^3 - 1075753204958681717/126927312029115100*c_1001_10^2 - 29232062255872157/25385462405823020*c_1001_10 + 456547058812887337/126927312029115100, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 172132/141690799*c_1001_10^7 - 331312/141690799*c_1001_10^6 + 2663454/141690799*c_1001_10^5 - 686074/141690799*c_1001_10^4 + 36969398/141690799*c_1001_10^3 - 85356852/141690799*c_1001_10^2 + 213362454/141690799*c_1001_10 - 108301882/141690799, c_0011_3 - 1385713/141690799*c_1001_10^7 + 2703085/141690799*c_1001_10^6 - 12187467/141690799*c_1001_10^5 + 56603477/141690799*c_1001_10^4 - 85093578/141690799*c_1001_10^3 + 131770049/141690799*c_1001_10^2 - 163082754/141690799*c_1001_10 - 42758478/141690799, c_0011_4 - 957049/141690799*c_1001_10^7 - 4810/141690799*c_1001_10^6 - 8728480/141690799*c_1001_10^5 + 22001141/141690799*c_1001_10^4 - 833518/141690799*c_1001_10^3 + 52047940/141690799*c_1001_10^2 + 107316329/141690799*c_1001_10 - 15964139/141690799, c_0011_6 - 172132/141690799*c_1001_10^7 - 331312/141690799*c_1001_10^6 + 2663454/141690799*c_1001_10^5 - 686074/141690799*c_1001_10^4 + 36969398/141690799*c_1001_10^3 - 85356852/141690799*c_1001_10^2 + 71671655/141690799*c_1001_10 - 108301882/141690799, c_0011_9 - 1, c_0101_0 - 1, c_0101_5 + 1385713/141690799*c_1001_10^7 - 2703085/141690799*c_1001_10^6 + 12187467/141690799*c_1001_10^5 - 56603477/141690799*c_1001_10^4 + 85093578/141690799*c_1001_10^3 - 131770049/141690799*c_1001_10^2 + 163082754/141690799*c_1001_10 + 42758478/141690799, c_0101_7 - c_1001_10, c_0110_2 + 993236/141690799*c_1001_10^7 - 2536577/141690799*c_1001_10^6 + 9750645/141690799*c_1001_10^5 - 49022571/141690799*c_1001_10^4 + 68111568/141690799*c_1001_10^3 - 119520359/141690799*c_1001_10^2 + 100785121/141690799*c_1001_10 + 73461031/141690799, c_1001_0 + 172132/141690799*c_1001_10^7 + 331312/141690799*c_1001_10^6 - 2663454/141690799*c_1001_10^5 + 686074/141690799*c_1001_10^4 - 36969398/141690799*c_1001_10^3 + 85356852/141690799*c_1001_10^2 - 71671655/141690799*c_1001_10 + 108301882/141690799, c_1001_10^8 - c_1001_10^7 + 10*c_1001_10^6 - 35*c_1001_10^5 + 38*c_1001_10^4 - 126*c_1001_10^3 + 3*c_1001_10^2 - 22*c_1001_10 - 73 ], 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_3, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_5, c_0101_7, c_0110_2, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 6071399040824861/2459920877993600*c_1001_10^9 - 381949849605943/175708634142400*c_1001_10^8 + 68790370654120109/2459920877993600*c_1001_10^7 - 78881897794932103/2459920877993600*c_1001_10^6 - 308056230680314793/2459920877993600*c_1001_10^5 + 146255709215934649/614980219498400*c_1001_10^4 - 73115037562642689/491984175598720*c_1001_10^3 - 32962193139228095/98396835119744*c_1001_10^2 - 32087543269576359/351417268284800*c_1001_10 + 667191782981168239/2459920877993600, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 85168205/4258865786*c_1001_10^9 - 6071532/304204699*c_1001_10^8 + 906889163/4258865786*c_1001_10^7 - 1055235187/4258865786*c_1001_10^6 - 4108688035/4258865786*c_1001_10^5 + 3691470754/2129432893*c_1001_10^4 - 5622497453/4258865786*c_1001_10^3 - 11983674961/4258865786*c_1001_10^2 - 1456178031/608409398*c_1001_10 + 3854291881/4258865786, c_0011_3 + 16656043/4258865786*c_1001_10^9 + 2790813/304204699*c_1001_10^8 - 189288665/4258865786*c_1001_10^7 - 8550945/4258865786*c_1001_10^6 + 1320492805/4258865786*c_1001_10^5 - 602607071/2129432893*c_1001_10^4 - 1210174921/4258865786*c_1001_10^3 + 5830568271/4258865786*c_1001_10^2 + 466028189/608409398*c_1001_10 - 2709920741/4258865786, c_0011_4 + 49677561/2433637592*c_1001_10^9 + 32525935/1216818796*c_1001_10^8 - 516959301/2433637592*c_1001_10^7 + 424043059/2433637592*c_1001_10^6 + 2454369225/2433637592*c_1001_10^5 - 839756193/608409398*c_1001_10^4 + 2475909465/2433637592*c_1001_10^3 + 5575371591/2433637592*c_1001_10^2 + 5422533661/2433637592*c_1001_10 - 1890659727/2433637592, c_0011_6 - 85168205/4258865786*c_1001_10^9 - 6071532/304204699*c_1001_10^8 + 906889163/4258865786*c_1001_10^7 - 1055235187/4258865786*c_1001_10^6 - 4108688035/4258865786*c_1001_10^5 + 3691470754/2129432893*c_1001_10^4 - 5622497453/4258865786*c_1001_10^3 - 11983674961/4258865786*c_1001_10^2 - 847768633/608409398*c_1001_10 + 3854291881/4258865786, c_0011_9 - 1, c_0101_0 - 1, c_0101_5 - 16656043/4258865786*c_1001_10^9 - 2790813/304204699*c_1001_10^8 + 189288665/4258865786*c_1001_10^7 + 8550945/4258865786*c_1001_10^6 - 1320492805/4258865786*c_1001_10^5 + 602607071/2129432893*c_1001_10^4 + 1210174921/4258865786*c_1001_10^3 - 5830568271/4258865786*c_1001_10^2 - 466028189/608409398*c_1001_10 + 2709920741/4258865786, c_0101_7 - c_1001_10, c_0110_2 - 20418899/8517731572*c_1001_10^9 - 259377/608409398*c_1001_10^8 + 294846211/8517731572*c_1001_10^7 - 264510261/8517731572*c_1001_10^6 - 1481627227/8517731572*c_1001_10^5 + 526533158/2129432893*c_1001_10^4 + 2221746421/8517731572*c_1001_10^3 - 4333186733/8517731572*c_1001_10^2 - 455797205/1216818796*c_1001_10 + 7701118853/8517731572, c_1001_0 + 85168205/4258865786*c_1001_10^9 + 6071532/304204699*c_1001_10^8 - 906889163/4258865786*c_1001_10^7 + 1055235187/4258865786*c_1001_10^6 + 4108688035/4258865786*c_1001_10^5 - 3691470754/2129432893*c_1001_10^4 + 5622497453/4258865786*c_1001_10^3 + 11983674961/4258865786*c_1001_10^2 + 847768633/608409398*c_1001_10 - 3854291881/4258865786, c_1001_10^10 + c_1001_10^9 - 11*c_1001_10^8 + 12*c_1001_10^7 + 50*c_1001_10^6 - 89*c_1001_10^5 + 61*c_1001_10^4 + 130*c_1001_10^3 + 58*c_1001_10^2 - 72*c_1001_10 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB