Magma V2.19-8 Tue Aug 20 2013 23:44:05 on localhost [Seed = 2017336724] Type ? for help. Type -D to quit. Loading file "L14n18137__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n18137 geometric_solution 10.86799353 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 -1 0 1 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 -1 0 1 -4 0 4 0 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314759770569 0.912526523426 0 4 4 5 0132 0132 1302 0132 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 0 0 0 4 0 -4 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 0.662194593694 0.979338599890 0 0 4 6 3012 0132 0132 0132 1 1 1 0 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 1 3 -4 -1 0 0 1 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526193575889 0.700725926225 5 5 7 0 0213 0321 0132 0132 1 1 1 1 0 0 0 0 0 0 1 -1 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 4 -4 3 -3 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314759770569 0.912526523426 1 1 8 2 2031 0132 0132 0132 1 1 0 1 0 0 1 -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 0 3 -3 0 0 0 0 -1 0 0 1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526193575889 0.700725926225 3 9 1 3 0213 0132 0132 0321 1 1 1 1 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 0 0 0 -3 0 0 3 0 -3 0 3 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526193575889 0.700725926225 7 10 2 9 2031 0132 0132 1230 1 1 1 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 0 4 -4 0 0 -1 1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886740997258 1.134561195810 8 8 6 3 2310 1023 1302 0132 1 1 1 1 0 0 0 0 1 0 0 -1 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 4 0 0 -4 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579582806854 1.127437535830 7 9 7 4 1023 0321 3201 0132 1 1 1 1 0 0 1 -1 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 0 3 -3 0 0 0 0 0 -4 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.639345737169 0.701565244111 6 5 10 8 3012 0132 0132 0321 1 1 1 1 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 0 0 0 4 0 0 -4 -1 -3 0 4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886740997258 1.134561195810 10 6 10 9 2310 0132 3201 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 0.437100940684 0.712180638801 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_10' : 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' : negation(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_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0011_7']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : negation(d['c_0011_7']), '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' : negation(d['1']), 's_3_7' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), '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_10' : negation(d['c_0101_10']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_5']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_7, c_0101_10, c_0101_2, c_0101_4, c_0101_6, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 69473657303145083143553/2863663198777495566*c_1001_4^10 - 78810672880402926935216/1431831599388747783*c_1001_4^9 - 1843813290157523954081365/2863663198777495566*c_1001_4^8 + 988218408733037991605587/318184799864166174*c_1001_4^7 - 5956827779830128326153863/2863663198777495566*c_1001_4^6 + 7616870275239268497339212/477277199796249261*c_1001_4^5 - 70910991054954437107974845/1431831599388747783*c_1001_4^4 + 68332411043383418431422131/2863663198777495566*c_1001_4^3 - 3531069236903278053534859/954554399592498522*c_1001_4^2 - 7252440559758272760692480/1431831599388747783*c_1001_4 - 161497422221724644931139/477277199796249261, c_0011_0 - 1, c_0011_10 - 851469392166959/318184799864166174*c_1001_4^10 - 273357163626284/159092399932083087*c_1001_4^9 - 19293654451281451/318184799864166174*c_1001_4^8 + 24307738359651708/53030799977361029*c_1001_4^7 - 123799227748599953/159092399932083087*c_1001_4^6 + 107844898925484397/53030799977361029*c_1001_4^5 - 2633179508508535549/318184799864166174*c_1001_4^4 + 3577332163330277165/318184799864166174*c_1001_4^3 - 369991835791111775/106061599954722058*c_1001_4^2 - 9652871976500114/159092399932083087*c_1001_4 - 5222900187280441/106061599954722058, c_0011_3 - 1, c_0011_5 - 116407705527329/106061599954722058*c_1001_4^10 - 169656930129093/106061599954722058*c_1001_4^9 - 1519331427716278/53030799977361029*c_1001_4^8 + 8465972547587885/53030799977361029*c_1001_4^7 - 13386554040761822/53030799977361029*c_1001_4^6 + 51311759850684048/53030799977361029*c_1001_4^5 - 302517699137471287/106061599954722058*c_1001_4^4 + 213211854089028307/53030799977361029*c_1001_4^3 - 378236026547093025/106061599954722058*c_1001_4^2 - 24985137663222973/106061599954722058*c_1001_4 + 2508739747106531/53030799977361029, c_0011_7 + 116407705527329/106061599954722058*c_1001_4^10 + 169656930129093/106061599954722058*c_1001_4^9 + 1519331427716278/53030799977361029*c_1001_4^8 - 8465972547587885/53030799977361029*c_1001_4^7 + 13386554040761822/53030799977361029*c_1001_4^6 - 51311759850684048/53030799977361029*c_1001_4^5 + 302517699137471287/106061599954722058*c_1001_4^4 - 213211854089028307/53030799977361029*c_1001_4^3 + 378236026547093025/106061599954722058*c_1001_4^2 + 24985137663222973/106061599954722058*c_1001_4 - 2508739747106531/53030799977361029, c_0101_10 - 2774043135740171/318184799864166174*c_1001_4^10 - 6707710307708113/318184799864166174*c_1001_4^9 - 37542899648343362/159092399932083087*c_1001_4^8 + 57210083538480393/53030799977361029*c_1001_4^7 - 98967263354258375/159092399932083087*c_1001_4^6 + 310647461190483087/53030799977361029*c_1001_4^5 - 5474176002179698159/318184799864166174*c_1001_4^4 + 1099387502660081062/159092399932083087*c_1001_4^3 - 412818180842751339/106061599954722058*c_1001_4^2 + 70020686177894165/318184799864166174*c_1001_4 - 5120993400783931/53030799977361029, c_0101_2 + 246363673408492/159092399932083087*c_1001_4^10 + 1117998054349789/318184799864166174*c_1001_4^9 + 13198518236515645/318184799864166174*c_1001_4^8 - 10375203651402936/53030799977361029*c_1001_4^7 + 23787241249718231/159092399932083087*c_1001_4^6 - 53520026286642030/53030799977361029*c_1001_4^5 + 488563722081649376/159092399932083087*c_1001_4^4 - 558558990654784925/318184799864166174*c_1001_4^3 - 13502015616674155/53030799977361029*c_1001_4^2 + 641430418715531929/318184799864166174*c_1001_4 + 2394271855603735/106061599954722058, c_0101_4 - 246363673408492/159092399932083087*c_1001_4^10 - 1117998054349789/318184799864166174*c_1001_4^9 - 13198518236515645/318184799864166174*c_1001_4^8 + 10375203651402936/53030799977361029*c_1001_4^7 - 23787241249718231/159092399932083087*c_1001_4^6 + 53520026286642030/53030799977361029*c_1001_4^5 - 488563722081649376/159092399932083087*c_1001_4^4 + 558558990654784925/318184799864166174*c_1001_4^3 + 13502015616674155/53030799977361029*c_1001_4^2 - 323245618851365755/318184799864166174*c_1001_4 - 2394271855603735/106061599954722058, c_0101_6 + c_1001_4, c_1001_0 + 246363673408492/159092399932083087*c_1001_4^10 + 1117998054349789/318184799864166174*c_1001_4^9 + 13198518236515645/318184799864166174*c_1001_4^8 - 10375203651402936/53030799977361029*c_1001_4^7 + 23787241249718231/159092399932083087*c_1001_4^6 - 53520026286642030/53030799977361029*c_1001_4^5 + 488563722081649376/159092399932083087*c_1001_4^4 - 558558990654784925/318184799864166174*c_1001_4^3 - 13502015616674155/53030799977361029*c_1001_4^2 + 323245618851365755/318184799864166174*c_1001_4 + 2394271855603735/106061599954722058, c_1001_4^11 + 2*c_1001_4^10 + 26*c_1001_4^9 - 135*c_1001_4^8 + 122*c_1001_4^7 - 690*c_1001_4^6 + 2225*c_1001_4^5 - 1579*c_1001_4^4 + 564*c_1001_4^3 + 86*c_1001_4^2 - 24*c_1001_4 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB