Magma V2.19-8 Wed Aug 21 2013 01:02:32 on localhost [Seed = 156177138] Type ? for help. Type -D to quit. Loading file "L14n15080__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15080 geometric_solution 12.53400854 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 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 1 -1 0 -3 0 3 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801472974572 1.207024954822 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 -1 1 -1 0 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 4 -4 3 0 -3 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670721302201 0.742816742115 7 0 6 8 0132 0132 0132 0132 1 1 0 1 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 0 0 0 0 0 0 -1 4 -3 0 0 -4 4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393062051274 0.694314213508 7 9 8 0 2031 0132 2031 0132 1 1 0 1 0 0 0 0 0 0 -1 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 3 -3 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584697543545 1.047232718543 10 11 0 5 0132 0132 0132 1023 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 -4 0 4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542720144523 0.482992865856 12 1 9 4 0132 0132 1023 1023 1 1 1 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 0 0 0 0 0 0 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551939749472 0.405029854524 10 11 1 2 3120 0321 0132 0132 1 1 1 0 0 0 -1 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 0 4 -4 -4 0 0 4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630332700438 0.798981940514 2 10 3 1 0132 1230 1302 0132 1 1 1 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 4 0 -4 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584697543545 1.047232718543 11 12 2 3 0321 1302 0132 1302 1 1 1 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 0 3 -3 4 0 -4 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 0.382531301697 1.090711484964 11 3 5 12 2031 0132 1023 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670721302201 0.742816742115 4 12 7 6 0132 2103 3012 3120 0 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.033664826579 1.091788170734 8 4 9 6 0321 0132 1302 0321 1 0 1 1 0 0 0 0 0 0 1 -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 -1 0 0 1 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391389493759 0.771447844854 5 10 9 8 0132 2103 0132 2031 1 1 0 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 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801472974572 1.207024954822 ==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' : negation(d['c_0011_0']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_6']), '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : d['c_0101_10'], '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' : 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' : 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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1010_8'], 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1010_8']), 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0101_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_0101_3'], '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1010_8']), 's_1_7' : 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' : 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' : 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_0'], '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_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_5, c_0101_9, c_1001_2, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 153436970/5219039*c_1010_8^6 - 224584133/5219039*c_1010_8^5 - 871193383/5219039*c_1010_8^4 - 250406641/5219039*c_1010_8^3 - 115588488/5219039*c_1010_8^2 - 1587868873/5219039*c_1010_8 - 1656583760/5219039, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 209/12385*c_1010_8^6 + 799/12385*c_1010_8^5 + 589/2477*c_1010_8^4 + 3601/12385*c_1010_8^3 + 1322/2477*c_1010_8^2 - 887/2477*c_1010_8 + 10719/12385, c_0011_6 - 721/12385*c_1010_8^6 - 1986/12385*c_1010_8^5 - 906/2477*c_1010_8^4 - 4719/12385*c_1010_8^3 + 986/2477*c_1010_8^2 - 1100/2477*c_1010_8 - 8771/12385, c_0101_0 - 1179/12385*c_1010_8^6 - 774/12385*c_1010_8^5 - 1296/2477*c_1010_8^4 + 4634/12385*c_1010_8^3 - 394/2477*c_1010_8^2 - 294/2477*c_1010_8 - 7609/12385, c_0101_1 - 1, c_0101_10 - 68/2477*c_1010_8^6 - 177/2477*c_1010_8^5 - 733/2477*c_1010_8^4 - 342/2477*c_1010_8^3 - 1641/2477*c_1010_8^2 + 1680/2477*c_1010_8 - 1212/2477, c_0101_12 - 81/2477*c_1010_8^6 + 117/2477*c_1010_8^5 - 691/2477*c_1010_8^4 + 394/2477*c_1010_8^3 - 2064/2477*c_1010_8^2 + 107/2477*c_1010_8 + 1179/2477, c_0101_3 + 118/2477*c_1010_8^6 + 380/2477*c_1010_8^5 + 762/2477*c_1010_8^4 + 1322/2477*c_1010_8^3 - 1305/2477*c_1010_8^2 + 1893/2477*c_1010_8 + 209/2477, c_0101_5 - 1212/12385*c_1010_8^6 - 1552/12385*c_1010_8^5 - 1389/2477*c_1010_8^4 - 2453/12385*c_1010_8^3 - 342/2477*c_1010_8^2 - 4065/2477*c_1010_8 + 1128/12385, c_0101_9 - 1834/12385*c_1010_8^6 - 1204/12385*c_1010_8^5 - 2016/2477*c_1010_8^4 + 1704/12385*c_1010_8^3 - 1989/2477*c_1010_8^2 - 3760/2477*c_1010_8 + 3301/12385, c_1001_2 - 253/2477*c_1010_8^6 - 185/2477*c_1010_8^5 - 1088/2477*c_1010_8^4 + 986/2477*c_1010_8^3 + 342/2477*c_1010_8^2 - 889/2477*c_1010_8 - 721/2477, c_1010_8^7 + c_1010_8^6 + 5*c_1010_8^5 - c_1010_8^4 + 10*c_1010_8^2 + 6*c_1010_8 - 5 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_5, c_0101_9, c_1001_2, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2099566573/71493401*c_1010_8^9 - 103275067808/1215387817*c_1010_8^8 + 140361496392/1215387817*c_1010_8^7 - 136219878503/1215387817*c_1010_8^6 + 119499605111/1215387817*c_1010_8^5 - 128552885966/1215387817*c_1010_8^4 + 15502759086/173626831*c_1010_8^3 - 25132277886/1215387817*c_1010_8^2 - 24793754775/1215387817*c_1010_8 + 10673353380/1215387817, c_0011_0 - 1, c_0011_10 - 71011261/7295245*c_1010_8^9 + 24492432/1459049*c_1010_8^8 - 145240322/7295245*c_1010_8^7 + 119771501/7295245*c_1010_8^6 - 24431948/1459049*c_1010_8^5 + 26676833/1459049*c_1010_8^4 - 14714815/1459049*c_1010_8^3 - 21604004/7295245*c_1010_8^2 + 17696118/7295245*c_1010_8 - 9679536/7295245, c_0011_3 - 290186991/7295245*c_1010_8^9 + 124183636/1459049*c_1010_8^8 - 767395042/7295245*c_1010_8^7 + 678529121/7295245*c_1010_8^6 - 124447131/1459049*c_1010_8^5 + 139465344/1459049*c_1010_8^4 - 94837864/1459049*c_1010_8^3 - 18266284/7295245*c_1010_8^2 + 121746578/7295245*c_1010_8 - 42186431/7295245, c_0011_6 + 260301059/7295245*c_1010_8^9 - 96915186/1459049*c_1010_8^8 + 584198683/7295245*c_1010_8^7 - 497843139/7295245*c_1010_8^6 + 96770171/1459049*c_1010_8^5 - 109573741/1459049*c_1010_8^4 + 66977057/1459049*c_1010_8^3 + 41826676/7295245*c_1010_8^2 - 64604497/7295245*c_1010_8 + 15686969/7295245, c_0101_0 + 58590653/7295245*c_1010_8^9 - 36902532/1459049*c_1010_8^8 + 270004806/7295245*c_1010_8^7 - 259030118/7295245*c_1010_8^6 + 45400000/1459049*c_1010_8^5 - 46250600/1459049*c_1010_8^4 + 42041329/1459049*c_1010_8^3 - 61337883/7295245*c_1010_8^2 - 50790594/7295245*c_1010_8 + 30899103/7295245, c_0101_1 - 1, c_0101_10 + 48264411/7295245*c_1010_8^9 - 12785328/1459049*c_1010_8^8 + 68415867/7295245*c_1010_8^7 - 53445551/7295245*c_1010_8^6 + 11980591/1459049*c_1010_8^5 - 15008570/1459049*c_1010_8^4 + 4979793/1459049*c_1010_8^3 + 16776954/7295245*c_1010_8^2 + 368357/7295245*c_1010_8 - 77524/7295245, c_0101_12 + 84563899/7295245*c_1010_8^9 - 34011209/1459049*c_1010_8^8 + 190099938/7295245*c_1010_8^7 - 161516329/7295245*c_1010_8^6 + 29018055/1459049*c_1010_8^5 - 35148311/1459049*c_1010_8^4 + 21228500/1459049*c_1010_8^3 + 26665031/7295245*c_1010_8^2 - 34345612/7295245*c_1010_8 + 3446509/7295245, c_0101_3 + 34170323/7295245*c_1010_8^9 - 9949566/1459049*c_1010_8^8 + 32121821/7295245*c_1010_8^7 - 12150418/7295245*c_1010_8^6 + 2977041/1459049*c_1010_8^5 - 6629168/1459049*c_1010_8^4 + 261327/1459049*c_1010_8^3 + 48006647/7295245*c_1010_8^2 - 11444989/7295245*c_1010_8 - 10146132/7295245, c_0101_5 + 1317908/7295245*c_1010_8^9 + 9203243/1459049*c_1010_8^8 - 61678444/7295245*c_1010_8^7 + 66865387/7295245*c_1010_8^6 - 10394519/1459049*c_1010_8^5 + 11592971/1459049*c_1010_8^4 - 14853522/1459049*c_1010_8^3 + 25906777/7295245*c_1010_8^2 + 16234286/7295245*c_1010_8 + 290833/7295245, c_0101_9 + 41329414/7295245*c_1010_8^9 - 20462826/1459049*c_1010_8^8 + 147032723/7295245*c_1010_8^7 - 136392689/7295245*c_1010_8^6 + 25098174/1459049*c_1010_8^5 - 25549907/1459049*c_1010_8^4 + 19499783/1459049*c_1010_8^3 - 24407214/7295245*c_1010_8^2 - 24910642/7295245*c_1010_8 + 13623314/7295245, c_1001_2 - 2443988/1459049*c_1010_8^9 - 9325852/1459049*c_1010_8^8 + 17855302/1459049*c_1010_8^7 - 22141797/1459049*c_1010_8^6 + 17390748/1459049*c_1010_8^5 - 15842591/1459049*c_1010_8^4 + 21419327/1459049*c_1010_8^3 - 12270135/1459049*c_1010_8^2 - 5459626/1459049*c_1010_8 + 2859292/1459049, c_1010_8^10 - 29/17*c_1010_8^9 + 29/17*c_1010_8^8 - 20/17*c_1010_8^7 + 19/17*c_1010_8^6 - 25/17*c_1010_8^5 + 10/17*c_1010_8^4 + 13/17*c_1010_8^3 - 7/17*c_1010_8^2 - 1/17*c_1010_8 + 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.340 seconds, Total memory usage: 32.09MB