Magma V2.19-8 Wed Aug 21 2013 00:52:31 on localhost [Seed = 2227343648] Type ? for help. Type -D to quit. Loading file "L12a414__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a414 geometric_solution 11.32877367 oriented_manifold CS_known -0.0000000000000004 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 0 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 -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 0.154912079366 0.767242614071 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 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 0.720833894788 0.511166584015 8 0 9 9 0132 0132 0213 0132 1 0 1 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 0 0 0 0 -1 1 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 0 0 0 0.432792615357 1.661715118439 7 10 4 0 0132 0132 2103 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 -1 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 0.432748444507 0.446540808097 3 10 0 11 2103 0213 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 0 0 0 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 2.163237257178 1.693554429880 8 1 9 12 1023 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361008280142 0.618343845794 7 8 1 9 2103 1302 0132 1023 0 1 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 0 0 0 0 0 0 0 2 -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 0.579571306651 1.098155663558 3 11 6 1 0132 2103 2103 0132 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 0 0 0 0 0 0 -1 0 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 0.800558958893 0.534087763766 2 5 12 6 0132 1023 0132 2031 0 0 1 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 0 0 0 0 0 0 0 1 0 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 -0.420428693349 1.098155663558 5 2 2 6 2103 0213 0132 1023 1 0 0 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 -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 0.183977767221 0.538989169614 10 3 4 10 3012 0132 0213 1230 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 1.698561867396 1.643641153189 12 7 4 12 0213 2103 0132 3201 1 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 0 0 0 0 0 0 0 -2 0 -1 3 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832630924223 1.127891615919 11 11 5 8 0213 2310 0132 0132 0 0 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 0 0 0 1 0 0 -1 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576358452334 0.573869809379 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : negation(d['c_1001_1']), 'c_1010_10' : d['c_0011_4'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0011_11'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_4'], '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' : negation(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' : negation(d['1']), 's_0_3' : 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' : negation(d['c_0110_9']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0110_6']), 'c_1100_6' : negation(d['c_0110_6']), 'c_1100_1' : negation(d['c_0110_6']), 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_0110_6'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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_0110_9']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_5']), 'c_0110_10' : d['c_0011_10'], 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], '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_1'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_9']), '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_0011_12, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_0110_6, c_0110_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1235150/261*c_1001_0^8 - 4773346/261*c_1001_0^7 + 9022963/261*c_1001_0^6 - 12446120/261*c_1001_0^5 + 4213583/87*c_1001_0^4 - 3120766/87*c_1001_0^3 + 5345224/261*c_1001_0^2 - 646256/87*c_1001_0 + 495778/261, c_0011_0 - 1, c_0011_10 + 14*c_1001_0^8 - 43*c_1001_0^7 + 64*c_1001_0^6 - 70*c_1001_0^5 + 51*c_1001_0^4 - 23*c_1001_0^3 + 6*c_1001_0^2 + c_1001_0 - 1, c_0011_11 - 28*c_1001_0^8 + 93*c_1001_0^7 - 153*c_1001_0^6 + 181*c_1001_0^5 - 152*c_1001_0^4 + 87*c_1001_0^3 - 32*c_1001_0^2 + 6*c_1001_0, c_0011_12 + 7*c_1001_0^8 - 25*c_1001_0^7 + 48*c_1001_0^6 - 68*c_1001_0^5 + 71*c_1001_0^4 - 57*c_1001_0^3 + 33*c_1001_0^2 - 13*c_1001_0 + 3, c_0011_4 + 7*c_1001_0^8 - 18*c_1001_0^7 + 23*c_1001_0^6 - 27*c_1001_0^5 + 21*c_1001_0^4 - 9*c_1001_0^3 + 2*c_1001_0^2 + c_1001_0 - 1, c_0011_9 + 28*c_1001_0^7 - 93*c_1001_0^6 + 153*c_1001_0^5 - 181*c_1001_0^4 + 152*c_1001_0^3 - 87*c_1001_0^2 + 32*c_1001_0 - 7, c_0101_0 - 2*c_1001_0^2 + 2*c_1001_0 - 1, c_0101_1 - 21*c_1001_0^8 + 68*c_1001_0^7 - 119*c_1001_0^6 + 156*c_1001_0^5 - 145*c_1001_0^4 + 100*c_1001_0^3 - 50*c_1001_0^2 + 17*c_1001_0 - 3, c_0101_5 - 21*c_1001_0^8 + 82*c_1001_0^7 - 155*c_1001_0^6 + 202*c_1001_0^5 - 192*c_1001_0^4 + 131*c_1001_0^3 - 61*c_1001_0^2 + 19*c_1001_0 - 3, c_0110_6 + 21*c_1001_0^8 - 82*c_1001_0^7 + 155*c_1001_0^6 - 202*c_1001_0^5 + 192*c_1001_0^4 - 131*c_1001_0^3 + 61*c_1001_0^2 - 19*c_1001_0 + 3, c_0110_9 - 35*c_1001_0^8 + 209*c_1001_0^7 - 491*c_1001_0^6 + 713*c_1001_0^5 - 770*c_1001_0^4 + 601*c_1001_0^3 - 327*c_1001_0^2 + 119*c_1001_0 - 25, c_1001_0^9 - 25/7*c_1001_0^8 + 48/7*c_1001_0^7 - 68/7*c_1001_0^6 + 71/7*c_1001_0^5 - 57/7*c_1001_0^4 + 5*c_1001_0^3 - 16/7*c_1001_0^2 + 5/7*c_1001_0 - 1/7, c_1001_1 - 1 ], 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_0110_6, c_0110_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 708504/91*c_1001_0^9 + 1240446/91*c_1001_0^8 + 534504/91*c_1001_0^7 - 6067323/455*c_1001_0^6 - 14803042/455*c_1001_0^5 - 17735019/455*c_1001_0^4 - 13033506/455*c_1001_0^3 - 7158422/455*c_1001_0^2 - 2359832/455*c_1001_0 - 539052/455, c_0011_0 - 1, c_0011_10 + 40*c_1001_0^9 + 230*c_1001_0^8 + 565*c_1001_0^7 + 864*c_1001_0^6 + 938*c_1001_0^5 + 747*c_1001_0^4 + 433*c_1001_0^3 + 182*c_1001_0^2 + 49*c_1001_0 + 7, c_0011_11 + 360/17*c_1001_0^9 + 1030/17*c_1001_0^8 + 1125/17*c_1001_0^7 + 231/17*c_1001_0^6 - 957/17*c_1001_0^5 - 1568/17*c_1001_0^4 - 1273/17*c_1001_0^3 - 636/17*c_1001_0^2 - 188/17*c_1001_0 - 36/17, c_0011_12 + 20*c_1001_0^9 + 85*c_1001_0^8 + 185*c_1001_0^7 + 272*c_1001_0^6 + 296*c_1001_0^5 + 245*c_1001_0^4 + 157*c_1001_0^3 + 75*c_1001_0^2 + 25*c_1001_0 + 5, c_0011_4 - 100*c_1001_0^9 - 445*c_1001_0^8 - 930*c_1001_0^7 - 1265*c_1001_0^6 - 1247*c_1001_0^5 - 903*c_1001_0^4 - 477*c_1001_0^3 - 182*c_1001_0^2 - 43*c_1001_0 - 5, c_0011_9 + 720/17*c_1001_0^9 + 3420/17*c_1001_0^8 + 7690/17*c_1001_0^7 + 10917/17*c_1001_0^6 + 10887/17*c_1001_0^5 + 7863/17*c_1001_0^4 + 4084/17*c_1001_0^3 + 1499/17*c_1001_0^2 + 372/17*c_1001_0 + 47/17, c_0101_0 + 2*c_1001_0^2 + 2*c_1001_0 + 1, c_0101_1 + 100*c_1001_0^9 + 405*c_1001_0^8 + 840*c_1001_0^7 + 1175*c_1001_0^6 + 1208*c_1001_0^5 + 929*c_1001_0^4 + 540*c_1001_0^3 + 230*c_1001_0^2 + 67*c_1001_0 + 11, c_0101_5 + 580/17*c_1001_0^9 + 2245/17*c_1001_0^8 + 4150/17*c_1001_0^7 + 4863/17*c_1001_0^6 + 3952/17*c_1001_0^5 + 2196/17*c_1001_0^4 + 789/17*c_1001_0^3 + 171/17*c_1001_0^2 + 5/17*c_1001_0 - 7/17, c_0110_6 + 580/17*c_1001_0^9 + 2245/17*c_1001_0^8 + 4150/17*c_1001_0^7 + 4863/17*c_1001_0^6 + 3952/17*c_1001_0^5 + 2196/17*c_1001_0^4 + 789/17*c_1001_0^3 + 171/17*c_1001_0^2 + 5/17*c_1001_0 - 7/17, c_0110_9 + 44180/289*c_1001_0^9 + 189285/289*c_1001_0^8 + 389705/289*c_1001_0^7 + 515753/289*c_1001_0^6 + 488041/289*c_1001_0^5 + 337794/289*c_1001_0^4 + 169845/289*c_1001_0^3 + 60629/289*c_1001_0^2 + 14111/289*c_1001_0 + 1583/289, c_1001_0^10 + 17/4*c_1001_0^9 + 37/4*c_1001_0^8 + 68/5*c_1001_0^7 + 74/5*c_1001_0^6 + 49/4*c_1001_0^5 + 157/20*c_1001_0^4 + 77/20*c_1001_0^3 + 7/5*c_1001_0^2 + 7/20*c_1001_0 + 1/20, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB