Magma V2.19-8 Wed Aug 21 2013 00:30:52 on localhost [Seed = 1646555690] Type ? for help. Type -D to quit. Loading file "K14n17974__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n17974 geometric_solution 11.73440658 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.591879905474 0.595908663336 0 0 5 4 0132 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.160964546259 0.844746528994 6 0 7 3 0132 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.782335120238 1.142311496138 2 3 3 0 3012 3201 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.696983532416 0.690282279316 7 8 1 9 2031 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140501173000 1.342959450338 10 8 9 1 0132 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.215634150928 0.721535755834 2 7 8 10 0132 3120 1230 1023 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 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 0.718761921570 0.469531411112 11 6 4 2 0132 3120 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307199644052 0.718849507852 5 4 12 6 1230 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 1 0 -11 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 0.021509025214 0.745387451115 12 11 4 5 2031 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.002431740345 1.143580990204 5 11 12 6 0132 1230 3201 1023 0 0 0 0 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 11 -10 1 0 0 -1 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541349187248 0.507186364705 7 12 10 9 0132 2103 3012 3201 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 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.788232540817 1.001717840972 10 11 9 8 2310 2103 1302 0132 0 0 0 0 0 0 0 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 0 0 0 -11 0 0 11 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.847203452131 1.042952213673 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_8'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : negation(d['c_1001_8']), 'c_1010_10' : d['c_0101_11'], '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'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], '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_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_1001_8'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : negation(d['c_0011_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' : d['c_0101_9'], '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_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_4']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : negation(d['c_0101_1']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], '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_0101_1']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], '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' : d['c_0011_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : d['c_0101_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_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_9, c_1001_8, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 15404504449943614/219953459575125*c_1100_1^17 + 234827546851043/73317819858375*c_1100_1^16 - 2648226774272212/11576497872375*c_1100_1^15 - 26484488632694/3858832624125*c_1100_1^14 - 6024269038867883/2315299574475*c_1100_1^13 - 101050622068546/771766524825*c_1100_1^12 + 4405182755282460454/219953459575125*c_1100_1^11 + 57397701598191248/73317819858375*c_1100_1^10 - 470533250519885864/11576497872375*c_1100_1^9 - 3175260480240418/3858832624125*c_1100_1^8 + 4641397722533996351/219953459575125*c_1100_1^7 - 86345067811761713/73317819858375*c_1100_1^6 + 250285909410176482/14663563971675*c_1100_1^5 + 9667495765680909/4887854657225*c_1100_1^4 + 614118234275853373/219953459575125*c_1100_1^3 + 68998673958910826/73317819858375*c_1100_1^2 + 22301529061840336/219953459575125*c_1100_1 + 7740948350575982/73317819858375, c_0011_0 - 1, c_0011_10 + 679964776/278114063*c_1100_1^16 - 2209936740/278114063*c_1100_1^14 - 25285585736/278114063*c_1100_1^12 + 193993259962/278114063*c_1100_1^10 - 391913175366/278114063*c_1100_1^8 + 202118732946/278114063*c_1100_1^6 + 160924723004/278114063*c_1100_1^4 + 35775551477/278114063*c_1100_1^2 + 2724035626/278114063, c_0011_11 - 679964776/278114063*c_1100_1^16 + 2209936740/278114063*c_1100_1^14 + 25285585736/278114063*c_1100_1^12 - 193993259962/278114063*c_1100_1^10 + 391913175366/278114063*c_1100_1^8 - 202118732946/278114063*c_1100_1^6 - 160924723004/278114063*c_1100_1^4 - 35775551477/278114063*c_1100_1^2 - 2724035626/278114063, c_0011_3 + 1939900968/278114063*c_1100_1^17 - 6264389866/278114063*c_1100_1^15 - 72290379196/278114063*c_1100_1^13 + 552017748740/278114063*c_1100_1^11 - 1105818073771/278114063*c_1100_1^9 + 547368224041/278114063*c_1100_1^7 + 484016526318/278114063*c_1100_1^5 + 102450989736/278114063*c_1100_1^3 + 7446503512/278114063*c_1100_1, c_0011_4 - 1752659490/278114063*c_1100_1^17 - 679964776/278114063*c_1100_1^16 + 5623806573/278114063*c_1100_1^15 + 2209936740/278114063*c_1100_1^14 + 65434437001/278114063*c_1100_1^13 + 25285585736/278114063*c_1100_1^12 - 497416050371/278114063*c_1100_1^11 - 193993259962/278114063*c_1100_1^10 + 988649916643/278114063*c_1100_1^9 + 391913175366/278114063*c_1100_1^8 - 472434384487/278114063*c_1100_1^7 - 202118732946/278114063*c_1100_1^6 - 450762324477/278114063*c_1100_1^5 - 160924723004/278114063*c_1100_1^4 - 99793602168/278114063*c_1100_1^3 - 35775551477/278114063*c_1100_1^2 - 7561729920/278114063*c_1100_1 - 2724035626/278114063, c_0011_9 + 682053037/278114063*c_1100_1^16 - 2216099087/278114063*c_1100_1^14 - 25366122788/278114063*c_1100_1^12 + 194566449294/278114063*c_1100_1^10 - 392902450180/278114063*c_1100_1^8 + 202226580126/278114063*c_1100_1^6 + 161603450366/278114063*c_1100_1^4 + 36308082077/278114063*c_1100_1^2 + 2681548488/278114063, c_0101_0 - 2116509972/278114063*c_1100_1^17 + 6925846238/278114063*c_1100_1^15 + 78562677189/278114063*c_1100_1^13 - 605622045439/278114063*c_1100_1^11 + 1232971752914/278114063*c_1100_1^9 - 653357601388/278114063*c_1100_1^7 - 493722445361/278114063*c_1100_1^5 - 94113232491/278114063*c_1100_1^3 - 6185843120/278114063*c_1100_1, c_0101_1 + 810515065/278114063*c_1100_1^16 - 2592481207/278114063*c_1100_1^14 - 30287112703/278114063*c_1100_1^12 + 229724959124/278114063*c_1100_1^10 - 454840858454/278114063*c_1100_1^8 + 213607451643/278114063*c_1100_1^6 + 211322179392/278114063*c_1100_1^4 + 47765294354/278114063*c_1100_1^2 + 3692560458/278114063, c_0101_11 + 810515065/278114063*c_1100_1^16 - 2592481207/278114063*c_1100_1^14 - 30287112703/278114063*c_1100_1^12 + 229724959124/278114063*c_1100_1^10 - 454840858454/278114063*c_1100_1^8 + 213607451643/278114063*c_1100_1^6 + 211322179392/278114063*c_1100_1^4 + 47765294354/278114063*c_1100_1^2 + 3692560458/278114063, c_0101_3 - 698583820/278114063*c_1100_1^17 + 2138238598/278114063*c_1100_1^15 + 26420812007/278114063*c_1100_1^13 - 194429807911/278114063*c_1100_1^11 + 364430742136/278114063*c_1100_1^9 - 127766139818/278114063*c_1100_1^7 - 211748310720/278114063*c_1100_1^5 - 64920040742/278114063*c_1100_1^3 - 6438638122/278114063*c_1100_1, c_0101_9 + 1362017813/278114063*c_1100_1^17 + 1752659490/278114063*c_1100_1^16 - 4426035827/278114063*c_1100_1^15 - 5623806573/278114063*c_1100_1^14 - 50651708524/278114063*c_1100_1^13 - 65434437001/278114063*c_1100_1^12 + 388559709256/278114063*c_1100_1^11 + 497416050371/278114063*c_1100_1^10 - 784815625546/278114063*c_1100_1^9 - 988649916643/278114063*c_1100_1^8 + 404345313072/278114063*c_1100_1^7 + 472434384487/278114063*c_1100_1^6 + 322528173370/278114063*c_1100_1^5 + 450762324477/278114063*c_1100_1^4 + 72083633554/278114063*c_1100_1^3 + 99793602168/278114063*c_1100_1^2 + 5127470051/278114063*c_1100_1 + 7561729920/278114063, c_1001_8 + 1362017813/278114063*c_1100_1^17 + 810515065/278114063*c_1100_1^16 - 4426035827/278114063*c_1100_1^15 - 2592481207/278114063*c_1100_1^14 - 50651708524/278114063*c_1100_1^13 - 30287112703/278114063*c_1100_1^12 + 388559709256/278114063*c_1100_1^11 + 229724959124/278114063*c_1100_1^10 - 784815625546/278114063*c_1100_1^9 - 454840858454/278114063*c_1100_1^8 + 404345313072/278114063*c_1100_1^7 + 213607451643/278114063*c_1100_1^6 + 322528173370/278114063*c_1100_1^5 + 211322179392/278114063*c_1100_1^4 + 72083633554/278114063*c_1100_1^3 + 47765294354/278114063*c_1100_1^2 + 5405584114/278114063*c_1100_1 + 3692560458/278114063, c_1100_1^18 - 3*c_1100_1^16 - 38*c_1100_1^14 + 276*c_1100_1^12 - 505*c_1100_1^10 + 153*c_1100_1^8 + 311*c_1100_1^6 + 112*c_1100_1^4 + 17*c_1100_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.260 Total time: 4.480 seconds, Total memory usage: 32.09MB