Magma V2.19-8 Wed Aug 21 2013 00:59:03 on localhost [Seed = 2884481225] Type ? for help. Type -D to quit. Loading file "L13n6445__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6445 geometric_solution 12.30293681 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 0 0 1 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 -1 -2 3 0 0 -1 1 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617161573898 1.043994830818 0 5 7 6 0132 0132 0132 0132 1 0 1 0 0 -1 0 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 -2 0 2 0 0 0 0 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519295664563 1.072742377141 8 0 9 5 0132 0132 0132 3012 1 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 0 0 0 0 1 0 -1 3 0 -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 0.382655970011 0.576389226023 8 10 6 0 2031 0132 0132 0132 1 0 1 1 0 0 -1 1 -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 -2 2 1 0 -2 1 0 -1 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382104999035 0.850880851002 11 9 0 12 0132 0132 0132 0132 1 0 1 0 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 0 -3 3 1 0 -1 0 0 2 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557627110637 0.381574118785 11 1 2 12 2310 0132 1230 2310 1 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 0 -2 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382655970011 0.576389226023 11 10 1 3 1230 1230 0132 0132 1 0 1 1 0 0 -1 1 1 0 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 -2 2 -2 0 0 2 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558780265023 0.769476086850 8 9 12 1 3201 1023 0132 0132 1 0 0 1 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 3 -3 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 0.521762632375 0.535341280831 2 11 3 7 0132 2310 1302 2310 0 1 0 1 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 -1 1 -3 0 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 0.519295664563 1.072742377141 7 4 10 2 1023 0132 0132 0132 1 1 0 1 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 0 0 0 -3 0 0 3 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.241778664901 0.917905151633 12 3 6 9 1023 0132 3012 0132 1 1 1 1 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 0 0 0 0 0 0 0 2 0 0 -2 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555846716469 0.790441537178 4 6 5 8 0132 3012 3201 3201 1 0 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 0 0 0 0 0 0 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617161573898 1.043994830818 5 10 4 7 3201 1023 0132 0132 1 0 1 1 0 0 -1 1 0 0 0 0 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 0 -3 3 0 0 0 0 2 -2 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.241778664901 0.917905151633 ==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' : negation(d['c_0011_6']), 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : negation(d['c_0101_0']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_0_11' : 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' : 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_1100_9' : negation(d['c_1001_5']), 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_0']), 'c_1100_10' : negation(d['c_1001_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_1']), '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' : d['c_1100_0'], '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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_11'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_9'], 'c_0110_12' : negation(d['c_0101_2']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_9, c_1001_2, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 8192/55*c_1100_0^3 - 4096/55*c_1100_0^2 - 4096/55*c_1100_0 + 2048/11, c_0011_0 - 1, c_0011_10 + c_1100_0 + 1/2, c_0011_11 - 4/5*c_1100_0^3 - 2/5*c_1100_0^2 - 7/5*c_1100_0 - 3/10, c_0011_6 - 4/5*c_1100_0^3 - 2/5*c_1100_0^2 - 2/5*c_1100_0 + 1/5, c_0101_0 - 8/5*c_1100_0^3 - 4/5*c_1100_0^2 - 4/5*c_1100_0 + 2/5, c_0101_1 - 1, c_0101_10 - 4/5*c_1100_0^3 - 2/5*c_1100_0^2 - 2/5*c_1100_0 + 7/10, c_0101_11 + 4/5*c_1100_0^3 + 12/5*c_1100_0^2 + 12/5*c_1100_0 + 4/5, c_0101_2 + 1/2, c_0101_9 - 4/5*c_1100_0^3 - 2/5*c_1100_0^2 - 2/5*c_1100_0 - 3/10, c_1001_2 + 8/5*c_1100_0^3 + 14/5*c_1100_0^2 + 14/5*c_1100_0 + 8/5, c_1001_5 + 4/5*c_1100_0^3 + 2/5*c_1100_0^2 + 7/5*c_1100_0 - 1/5, c_1100_0^4 + 3/2*c_1100_0^3 + 9/4*c_1100_0^2 + 7/8*c_1100_0 + 11/16 ], 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_9, c_1001_2, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 519806492403275614528/362429453125*c_1100_0^9 - 692969000626413911312/362429453125*c_1100_0^8 + 1445571388687377832/3815046875*c_1100_0^7 + 303813183062973636532/362429453125*c_1100_0^6 - 364604597400729009008/362429453125*c_1100_0^5 - 322701899991747273144/362429453125*c_1100_0^4 + 51946548083506997209/724858906250*c_1100_0^3 - 2537471354494404733/76300937500*c_1100_0^2 - 14820178208320986737/72485890625*c_1100_0 - 48867100657461970539/724858906250, c_0011_0 - 1, c_0011_10 - 542464/32995*c_1100_0^9 - 559936/32995*c_1100_0^8 + 114304/6599*c_1100_0^7 + 306976/32995*c_1100_0^6 - 634024/32995*c_1100_0^5 - 217252/32995*c_1100_0^4 + 230746/32995*c_1100_0^3 - 34724/32995*c_1100_0^2 - 15809/6599*c_1100_0 + 2294/32995, c_0011_11 + c_1100_0, c_0011_6 - 5801472/32995*c_1100_0^9 - 4407808/32995*c_1100_0^8 + 846048/6599*c_1100_0^7 + 1101568/32995*c_1100_0^6 - 4812872/32995*c_1100_0^5 - 789256/32995*c_1100_0^4 + 938428/32995*c_1100_0^3 - 675962/32995*c_1100_0^2 - 98501/6599*c_1100_0 + 40852/32995, c_0101_0 - 5044736/32995*c_1100_0^9 - 2978944/32995*c_1100_0^8 + 806080/6599*c_1100_0^7 + 411744/32995*c_1100_0^6 - 4006016/32995*c_1100_0^5 - 276168/32995*c_1100_0^4 + 754684/32995*c_1100_0^3 - 499466/32995*c_1100_0^2 - 64218/6599*c_1100_0 + 32856/32995, c_0101_1 - 1, c_0101_10 - 2706688/32995*c_1100_0^9 - 2146112/32995*c_1100_0^8 + 429920/6599*c_1100_0^7 + 620352/32995*c_1100_0^6 - 2469568/32995*c_1100_0^5 - 396824/32995*c_1100_0^4 + 548362/32995*c_1100_0^3 - 362463/32995*c_1100_0^2 - 47362/6599*c_1100_0 + 29493/32995, c_0101_11 + 4205568/32995*c_1100_0^9 + 2734592/32995*c_1100_0^8 - 613312/6599*c_1100_0^7 - 350432/32995*c_1100_0^6 + 3360048/32995*c_1100_0^5 + 362624/32995*c_1100_0^4 - 565212/32995*c_1100_0^3 + 492338/32995*c_1100_0^2 + 61736/6599*c_1100_0 - 12693/32995, c_0101_2 - 2448384/32995*c_1100_0^9 - 1542656/32995*c_1100_0^8 + 357056/6599*c_1100_0^7 + 94496/32995*c_1100_0^6 - 1762944/32995*c_1100_0^5 - 122032/32995*c_1100_0^4 + 157836/32995*c_1100_0^3 - 284314/32995*c_1100_0^2 - 22348/6599*c_1100_0 - 6276/32995, c_0101_9 + 987904/32995*c_1100_0^9 + 35136/32995*c_1100_0^8 - 179264/6599*c_1100_0^7 + 407104/32995*c_1100_0^6 + 705704/32995*c_1100_0^5 - 290288/32995*c_1100_0^4 - 39136/32995*c_1100_0^3 + 81689/32995*c_1100_0^2 + 2628/6599*c_1100_0 + 7376/32995, c_1001_2 - 4205568/32995*c_1100_0^9 - 2734592/32995*c_1100_0^8 + 613312/6599*c_1100_0^7 + 350432/32995*c_1100_0^6 - 3360048/32995*c_1100_0^5 - 362624/32995*c_1100_0^4 + 565212/32995*c_1100_0^3 - 492338/32995*c_1100_0^2 - 61736/6599*c_1100_0 + 12693/32995, c_1001_5 + 542464/32995*c_1100_0^9 + 559936/32995*c_1100_0^8 - 114304/6599*c_1100_0^7 - 306976/32995*c_1100_0^6 + 634024/32995*c_1100_0^5 + 217252/32995*c_1100_0^4 - 230746/32995*c_1100_0^3 + 34724/32995*c_1100_0^2 + 15809/6599*c_1100_0 - 2294/32995, c_1100_0^10 + 5/4*c_1100_0^9 - 3/8*c_1100_0^8 - 9/16*c_1100_0^7 + 3/4*c_1100_0^6 + 9/16*c_1100_0^5 - 13/128*c_1100_0^4 + 7/256*c_1100_0^3 + 9/64*c_1100_0^2 + 9/256*c_1100_0 - 1/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB