Magma V2.19-8 Tue Aug 20 2013 23:55:53 on localhost [Seed = 2295259319] Type ? for help. Type -D to quit. Loading file "L14n13356__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13356 geometric_solution 10.95665782 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 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 0 1 -1 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 0.708538533263 0.964333285513 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 0 0 0 0 0 -1 0 1 0 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659558283512 0.583175372846 3 0 8 3 1023 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 0 0 0 -1 0 0 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 0.017834486478 0.698342463560 8 2 2 0 0132 1023 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 0 -1 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 0.017834486478 0.698342463560 9 10 0 11 0132 0132 0132 0132 1 1 0 1 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 0 0 0 1 -1 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659558283512 0.583175372846 8 1 9 10 1023 0132 1230 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.346648529770 0.910234589498 11 7 1 9 0132 1230 0132 0132 1 1 0 1 0 1 0 -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 -4 0 4 0 0 0 0 -1 1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435138784509 0.539731122121 10 10 6 1 2103 1023 3012 0132 1 1 1 0 0 -1 1 0 1 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 3 -3 0 -3 0 4 -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 0.925428716898 0.884257346967 3 5 11 2 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708538533263 0.964333285513 4 11 6 5 0132 2103 0132 3012 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925428716898 0.884257346967 7 4 7 5 1023 0132 2103 1023 1 1 1 0 0 0 0 0 1 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 0 -3 0 3 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 0.435138784509 0.539731122121 6 9 4 8 0132 2103 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 -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 1.346648529770 0.910234589498 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0110_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : negation(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_10' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : negation(d['c_1001_5']), 'c_1100_1' : negation(d['c_1001_5']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_10'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_1100_0'], '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' : d['1'], 's_3_8' : d['1'], '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' : 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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], '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_2'], '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_11'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], '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_0101_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_5, c_0110_10, c_0110_5, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 28905933076477/1371918174485*c_1001_5^10 + 89659908657948/1371918174485*c_1001_5^9 + 414090704157561/1371918174485*c_1001_5^8 + 1574946921216067/1371918174485*c_1001_5^7 + 4528856997331164/1371918174485*c_1001_5^6 + 7239011511739832/1371918174485*c_1001_5^5 + 7308783378661744/1371918174485*c_1001_5^4 + 4760446843004783/1371918174485*c_1001_5^3 + 2989572814057893/1371918174485*c_1001_5^2 + 759815766258393/1371918174485*c_1001_5 + 292454725625527/1371918174485, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 133600565/4650570083*c_1001_5^10 + 677735672/4650570083*c_1001_5^9 + 2520865792/4650570083*c_1001_5^8 + 10444664957/4650570083*c_1001_5^7 + 32292296362/4650570083*c_1001_5^6 + 63810709975/4650570083*c_1001_5^5 + 68110888712/4650570083*c_1001_5^4 + 39417778640/4650570083*c_1001_5^3 + 8659513940/4650570083*c_1001_5^2 + 3605187694/4650570083*c_1001_5 - 3706318816/4650570083, c_0101_0 - 61235187/4650570083*c_1001_5^10 - 371828471/4650570083*c_1001_5^9 - 1236865568/4650570083*c_1001_5^8 - 5411449907/4650570083*c_1001_5^7 - 16840094172/4650570083*c_1001_5^6 - 34169598335/4650570083*c_1001_5^5 - 34116968305/4650570083*c_1001_5^4 - 19714218241/4650570083*c_1001_5^3 - 8658649064/4650570083*c_1001_5^2 - 13492504664/4650570083*c_1001_5 + 491434801/4650570083, c_0101_1 + 793978763/4650570083*c_1001_5^10 + 1903748934/4650570083*c_1001_5^9 + 9402350954/4650570083*c_1001_5^8 + 34710537257/4650570083*c_1001_5^7 + 91288092351/4650570083*c_1001_5^6 + 101330097468/4650570083*c_1001_5^5 + 35611069175/4650570083*c_1001_5^4 - 34320593347/4650570083*c_1001_5^3 - 9394777805/4650570083*c_1001_5^2 - 20028873359/4650570083*c_1001_5 - 3235283369/4650570083, c_0101_11 + 410012139/4650570083*c_1001_5^10 + 1621557177/4650570083*c_1001_5^9 + 6708529649/4650570083*c_1001_5^8 + 26417946425/4650570083*c_1001_5^7 + 79528234661/4650570083*c_1001_5^6 + 142157398026/4650570083*c_1001_5^5 + 147119228117/4650570083*c_1001_5^4 + 80960123109/4650570083*c_1001_5^3 + 28126258200/4650570083*c_1001_5^2 + 5331812237/4650570083*c_1001_5 - 4562374060/4650570083, c_0101_2 + 553511282/4650570083*c_1001_5^10 + 1801074440/4650570083*c_1001_5^9 + 8146859700/4650570083*c_1001_5^8 + 31281905703/4650570083*c_1001_5^7 + 90798173069/4650570083*c_1001_5^6 + 149906540591/4650570083*c_1001_5^5 + 156405394609/4650570083*c_1001_5^4 + 105801421802/4650570083*c_1001_5^3 + 62674868920/4650570083*c_1001_5^2 + 12115830710/4650570083*c_1001_5 + 2099154560/4650570083, c_0101_5 - 793978763/4650570083*c_1001_5^10 - 1903748934/4650570083*c_1001_5^9 - 9402350954/4650570083*c_1001_5^8 - 34710537257/4650570083*c_1001_5^7 - 91288092351/4650570083*c_1001_5^6 - 101330097468/4650570083*c_1001_5^5 - 35611069175/4650570083*c_1001_5^4 + 34320593347/4650570083*c_1001_5^3 + 9394777805/4650570083*c_1001_5^2 + 20028873359/4650570083*c_1001_5 + 3235283369/4650570083, c_0110_10 - 125524026/4650570083*c_1001_5^10 - 284931349/4650570083*c_1001_5^9 - 1351212884/4650570083*c_1001_5^8 - 4975524538/4650570083*c_1001_5^7 - 12525357086/4650570083*c_1001_5^6 - 8956451743/4650570083*c_1001_5^5 + 10291892126/4650570083*c_1001_5^4 + 24899285647/4650570083*c_1001_5^3 + 10177587176/4650570083*c_1001_5^2 + 7954891555/4650570083*c_1001_5 + 3778896073/4650570083, c_0110_5 - 61235187/4650570083*c_1001_5^10 - 371828471/4650570083*c_1001_5^9 - 1236865568/4650570083*c_1001_5^8 - 5411449907/4650570083*c_1001_5^7 - 16840094172/4650570083*c_1001_5^6 - 34169598335/4650570083*c_1001_5^5 - 34116968305/4650570083*c_1001_5^4 - 19714218241/4650570083*c_1001_5^3 - 8658649064/4650570083*c_1001_5^2 - 13492504664/4650570083*c_1001_5 + 491434801/4650570083, c_1001_5^11 + 3*c_1001_5^10 + 14*c_1001_5^9 + 53*c_1001_5^8 + 151*c_1001_5^7 + 234*c_1001_5^6 + 226*c_1001_5^5 + 137*c_1001_5^4 + 85*c_1001_5^3 + 15*c_1001_5^2 + 7*c_1001_5 - 1, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB