Magma V2.19-8 Wed Aug 21 2013 00:56:32 on localhost [Seed = 1275745923] Type ? for help. Type -D to quit. Loading file "L13n2668__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2668 geometric_solution 11.47909734 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 0 1 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 -1 1 0 0 0 0 1 -2 0 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.411255245211 1.519820021777 0 2 4 5 0132 0213 0213 0132 1 1 1 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 0 0 0 0 0 -6 6 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671915116462 0.353323735402 4 0 1 6 0213 0132 0213 0132 1 1 1 0 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 0 0 0 0 -6 6 0 6 0 -6 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221626454194 0.572119445139 5 7 5 0 0132 0132 2310 0132 1 1 1 1 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 0 0 0 0 0 -1 0 1 -5 0 5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221626454194 0.572119445139 2 1 0 8 0213 0213 0132 0132 1 1 1 0 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 -1 1 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221626454194 0.572119445139 3 3 1 6 0132 3201 0132 2103 1 1 1 1 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 5 0 0 -5 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834103292927 0.613081875289 8 9 2 5 0321 0132 0132 2103 1 1 1 1 0 0 0 0 0 0 -1 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 1 0 -6 5 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686827291665 1.896097212260 8 3 10 9 3201 0132 0132 0132 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727328632011 0.643797202164 6 11 4 7 0321 0132 0132 2310 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.823300966360 0.993032749743 11 6 7 10 2310 0132 0132 0321 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 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.944069048087 0.605243634344 12 9 12 7 0132 0321 0213 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 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749690799344 0.883262943033 12 8 9 12 3201 0132 3201 1302 1 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 -1 0 1 -1 0 6 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441442005160 0.658076074574 10 10 11 11 0132 0213 2031 2310 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 1 -1 0 1 0 -1 0 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296994290851 1.048000036410 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : negation(d['c_0110_11']), 'c_1001_12' : negation(d['c_0110_11']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0110_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0011_10']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0110_11']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0110_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0101_9']), 'c_1100_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0011_11'], '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' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), '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_0110_11'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_6'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_9'], '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_3, c_0011_6, c_0101_0, c_0101_3, c_0101_6, c_0101_9, c_0110_11, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t - 696237/4*c_1001_3^2 - 90887*c_1001_3 - 1229043/4, c_0011_0 - 1, c_0011_10 + c_1001_3, c_0011_11 - 1/2*c_1001_3 + 1/2, c_0011_3 - 3/4*c_1001_3^2 - 1/4, c_0011_6 - 3/4*c_1001_3^2 - c_1001_3 - 1/4, c_0101_0 - 1, c_0101_3 - 3/4*c_1001_3^2 - 1/4, c_0101_6 - c_1001_3, c_0101_9 - 1/2*c_1001_3 + 1/2, c_0110_11 - 3/4*c_1001_3^2 - 1/4, c_1001_0 - 1/2*c_1001_3 + 1/2, c_1001_1 - 3/4*c_1001_3^2 + 1/2*c_1001_3 - 3/4, c_1001_3^3 + 1/3*c_1001_3^2 + 5/3*c_1001_3 - 1/3 ], 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_6, c_0101_0, c_0101_3, c_0101_6, c_0101_9, c_0110_11, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 728433827/8192*c_1001_3^9 + 3353859071/8192*c_1001_3^8 - 243623329/2048*c_1001_3^7 + 2526115771/2048*c_1001_3^6 - 1906910235/4096*c_1001_3^5 + 3983402457/4096*c_1001_3^4 - 387610837/2048*c_1001_3^3 + 232368487/2048*c_1001_3^2 + 57278315/8192*c_1001_3 - 79901753/8192, c_0011_0 - 1, c_0011_10 + 13737/512*c_1001_3^9 - 8309/512*c_1001_3^8 + 5019/64*c_1001_3^7 - 911/32*c_1001_3^6 + 16617/256*c_1001_3^5 - 2273/256*c_1001_3^4 + 451/32*c_1001_3^3 - 27/64*c_1001_3^2 + 893/512*c_1001_3 - 513/512, c_0011_11 + 4097/256*c_1001_3^9 - 155/8*c_1001_3^8 + 669/16*c_1001_3^7 - 2389/64*c_1001_3^6 + 3201/128*c_1001_3^5 - 1151/64*c_1001_3^4 - 35/32*c_1001_3^3 - 187/64*c_1001_3^2 + 69/256*c_1001_3 - 25/64, c_0011_3 - 5543/256*c_1001_3^9 + 1243/128*c_1001_3^8 - 6791/128*c_1001_3^7 + 1621/128*c_1001_3^6 - 1961/64*c_1001_3^5 + 99/128*c_1001_3^4 + 103/128*c_1001_3^3 + 143/128*c_1001_3^2 + 11/256*c_1001_3 + 15/64, c_0011_6 + 2169/256*c_1001_3^9 + 289/128*c_1001_3^8 + 1145/64*c_1001_3^7 + 697/64*c_1001_3^6 + 1739/128*c_1001_3^5 + 155/16*c_1001_3^4 + 433/64*c_1001_3^3 + 91/64*c_1001_3^2 + 201/256*c_1001_3 + 31/128, c_0101_0 - 1, c_0101_3 - 5543/256*c_1001_3^9 + 1243/128*c_1001_3^8 - 6791/128*c_1001_3^7 + 1621/128*c_1001_3^6 - 1961/64*c_1001_3^5 + 99/128*c_1001_3^4 + 103/128*c_1001_3^3 + 143/128*c_1001_3^2 + 11/256*c_1001_3 + 15/64, c_0101_6 - c_1001_3, c_0101_9 + 2651/512*c_1001_3^9 + 519/512*c_1001_3^8 + 481/32*c_1001_3^7 + 431/64*c_1001_3^6 + 4039/256*c_1001_3^5 + 2551/256*c_1001_3^4 + 537/64*c_1001_3^3 + 61/16*c_1001_3^2 + 575/512*c_1001_3 - 13/512, c_0110_11 - 5543/256*c_1001_3^9 + 19/64*c_1001_3^8 - 7487/128*c_1001_3^7 - 1547/128*c_1001_3^6 - 3123/64*c_1001_3^5 - 2267/128*c_1001_3^4 - 1785/128*c_1001_3^3 - 401/128*c_1001_3^2 - 157/256*c_1001_3 + 17/128, c_1001_0 + 4097/256*c_1001_3^9 - 155/8*c_1001_3^8 + 669/16*c_1001_3^7 - 2389/64*c_1001_3^6 + 3201/128*c_1001_3^5 - 1151/64*c_1001_3^4 - 35/32*c_1001_3^3 - 187/64*c_1001_3^2 + 69/256*c_1001_3 - 25/64, c_1001_1 - 1205/32*c_1001_3^9 + 3723/128*c_1001_3^8 - 12143/128*c_1001_3^7 + 6399/128*c_1001_3^6 - 7123/128*c_1001_3^5 + 2401/128*c_1001_3^4 + 243/128*c_1001_3^3 + 517/128*c_1001_3^2 - 29/128*c_1001_3 + 5/8, c_1001_3^10 - 150/241*c_1001_3^9 + 669/241*c_1001_3^8 - 248/241*c_1001_3^7 + 514/241*c_1001_3^6 - 84/241*c_1001_3^5 + 98/241*c_1001_3^4 - 24/241*c_1001_3^3 + 13/241*c_1001_3^2 - 6/241*c_1001_3 + 1/241 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.330 Total time: 0.540 seconds, Total memory usage: 32.09MB