Magma V2.19-8 Wed Aug 21 2013 00:59:24 on localhost [Seed = 3987470008] Type ? for help. Type -D to quit. Loading file "L13n6863__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6863 geometric_solution 12.17755534 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 2 3 0132 0132 0321 0132 0 1 1 2 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 0 1 0 -1 0 0 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 0.424462854443 0.753303156862 0 4 6 5 0132 0132 0132 0132 2 1 2 1 0 0 -1 1 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 9 -9 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 0.572018482317 0.649406187625 7 0 0 5 0132 0132 0321 2031 0 2 2 1 0 0 -1 1 1 0 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 -1 0 1 -10 0 1 9 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424462854443 0.753303156862 8 5 0 5 0132 2031 0132 2103 0 1 2 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 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 0.640404589676 0.838206191895 7 1 9 10 1023 0132 0132 0132 2 2 1 2 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 -10 0 10 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194814197386 1.505329648062 3 2 1 3 1302 1302 0132 2103 2 1 0 2 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 -9 9 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 0.424462854443 0.753303156862 8 11 11 1 3120 0132 1302 0132 2 1 1 2 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 9 0 -9 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 0.843873536460 0.819918541558 2 4 9 8 0132 1023 3012 0321 2 2 1 2 0 -1 1 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 10 -9 -1 10 0 0 -10 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.049748914643 1.017025255916 3 7 10 6 0132 0321 1302 3120 2 1 1 2 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 1 0 -1 1 0 -1 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532947008313 0.328567954060 11 7 12 4 3120 1230 0132 0132 2 2 2 2 0 0 0 0 -1 0 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 10 0 0 -10 1 0 0 -1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.108933416110 1.334445548736 8 11 4 12 2031 0213 0132 3201 2 2 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 10 -10 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252192493444 0.585532644580 6 6 10 9 2031 0132 0213 3120 2 2 2 1 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 -9 0 9 0 0 10 -10 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390436098060 0.592260242645 12 10 12 9 2310 2310 3201 0132 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227857836093 0.737333980542 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_9']), 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0110_10'], 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : negation(d['c_0011_9']), 'c_1010_10' : d['c_0101_12'], '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_10'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_3']), 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0011_3'], 'c_1100_8' : d['c_0011_11']})} 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_12, c_0011_3, c_0011_5, c_0011_9, c_0101_1, c_0101_12, c_0101_7, c_0110_10, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 7654893941837/174139924807680*c_1001_1^10 + 35639644885369/34827984961536*c_1001_1^9 + 322116210901919/87069962403840*c_1001_1^8 - 292487288322143/34827984961536*c_1001_1^7 - 1281057259445347/87069962403840*c_1001_1^6 + 241809008054981/43534981201920*c_1001_1^5 + 3475292704149457/34827984961536*c_1001_1^4 + 13838265206768683/87069962403840*c_1001_1^3 + 8295826090208009/58046641602560*c_1001_1^2 + 5018408083134401/87069962403840*c_1001_1 + 542661063513145/34827984961536, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 2942385/27252968*c_1001_1^10 - 12910579/27252968*c_1001_1^9 + 19151031/13626484*c_1001_1^8 + 23130823/27252968*c_1001_1^7 - 7166203/6813242*c_1001_1^6 - 147509277/13626484*c_1001_1^5 - 310976831/27252968*c_1001_1^4 - 140230383/13626484*c_1001_1^3 - 138138003/27252968*c_1001_1^2 - 28599749/6813242*c_1001_1 - 33319383/27252968, c_0011_12 - 1935955/13626484*c_1001_1^10 - 10772541/13626484*c_1001_1^9 + 7264433/6813242*c_1001_1^8 + 42123781/13626484*c_1001_1^7 + 2260684/3406621*c_1001_1^6 - 106129963/6813242*c_1001_1^5 - 441220409/13626484*c_1001_1^4 - 252301961/6813242*c_1001_1^3 - 364900873/13626484*c_1001_1^2 - 46466129/3406621*c_1001_1 - 50220169/13626484, c_0011_3 - 2606254/3406621*c_1001_1^10 - 14395204/3406621*c_1001_1^9 + 20217339/3406621*c_1001_1^8 + 57323273/3406621*c_1001_1^7 + 14464901/3406621*c_1001_1^6 - 301164036/3406621*c_1001_1^5 - 600596531/3406621*c_1001_1^4 - 621296204/3406621*c_1001_1^3 - 327899052/3406621*c_1001_1^2 - 95465046/3406621*c_1001_1 - 8812661/3406621, c_0011_5 - 1, c_0011_9 + 900673/13626484*c_1001_1^10 + 5339779/13626484*c_1001_1^9 - 3031685/6813242*c_1001_1^8 - 27777267/13626484*c_1001_1^7 - 2627/3406621*c_1001_1^6 + 58146085/6813242*c_1001_1^5 + 238324079/13626484*c_1001_1^4 + 93225699/6813242*c_1001_1^3 + 57630563/13626484*c_1001_1^2 - 5591863/3406621*c_1001_1 - 9303729/13626484, c_0101_1 - 1, c_0101_12 - c_1001_1^2 - 2*c_1001_1 - 1, c_0101_7 - 1242320/3406621*c_1001_1^10 - 7186069/3406621*c_1001_1^9 + 7833077/3406621*c_1001_1^8 + 29841417/3406621*c_1001_1^7 + 14476096/3406621*c_1001_1^6 - 142185859/3406621*c_1001_1^5 - 324773998/3406621*c_1001_1^4 - 373183274/3406621*c_1001_1^3 - 230316704/3406621*c_1001_1^2 - 82406229/3406621*c_1001_1 - 9624649/3406621, c_0110_10 - 7282615/13626484*c_1001_1^10 - 40923321/13626484*c_1001_1^9 + 25482695/6813242*c_1001_1^8 + 156212697/13626484*c_1001_1^7 + 17301085/3406621*c_1001_1^6 - 396461377/6813242*c_1001_1^5 - 1765360905/13626484*c_1001_1^4 - 1052268829/6813242*c_1001_1^3 - 1452618589/13626484*c_1001_1^2 - 155686754/3406621*c_1001_1 - 132221745/13626484, c_0110_5 + 209671413/436047488*c_1001_1^10 + 1134099379/436047488*c_1001_1^9 - 878421899/218023744*c_1001_1^8 - 4410809731/436047488*c_1001_1^7 - 79730601/54505936*c_1001_1^6 + 12138758975/218023744*c_1001_1^5 + 45484874047/436047488*c_1001_1^4 + 22359620499/218023744*c_1001_1^3 + 21594936983/436047488*c_1001_1^2 + 729098119/54505936*c_1001_1 + 515711031/436047488, c_1001_1^11 + 6*c_1001_1^10 - 5*c_1001_1^9 - 25*c_1001_1^8 - 17*c_1001_1^7 + 110*c_1001_1^6 + 285*c_1001_1^5 + 363*c_1001_1^4 + 269*c_1001_1^3 + 125*c_1001_1^2 + 35*c_1001_1 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB