Magma V2.19-8 Wed Aug 21 2013 01:10:47 on localhost [Seed = 695152841] Type ? for help. Type -D to quit. Loading file "L14n54796__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n54796 geometric_solution 12.33848663 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 2 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 -1 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 0.494476426111 0.401117942536 0 5 7 6 0132 0132 0132 0132 0 0 0 2 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 1 -1 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780282860709 0.989431252035 5 0 9 8 3201 0132 0132 0132 0 2 0 2 0 -1 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 1 -1 0 -2 0 2 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 0.809411167866 0.756538081027 9 10 7 0 2031 0132 1023 0132 0 0 0 2 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 1 0 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569249486715 0.988949603059 11 5 0 12 0132 3201 0132 0132 0 0 0 2 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 2 -1 -1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780282860709 0.989431252035 11 1 4 2 1023 0132 2310 2310 0 2 2 0 0 0 0 0 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 0 0 0 0 0 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 0.779431377607 0.811219745450 12 12 1 12 0321 3120 0132 1023 0 0 1 0 0 1 -1 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 -1 1 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 0.389059018713 0.663964505405 11 8 3 1 3120 3012 1023 0132 0 0 2 2 0 0 -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 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 1.151327491112 0.903848877122 7 10 2 10 1230 0213 0132 3120 0 2 2 0 0 0 0 0 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 0 0 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 0.795537028213 0.706178539765 10 11 3 2 3120 3201 1302 0132 0 2 2 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 0 0 0 0 0 0 0 -1 1 0 0 2 -2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555953893270 1.630722835599 8 3 8 9 3120 0132 0213 3120 0 2 2 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 0 0 0 0 0 0 0 1 0 -1 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.258582883089 1.010960731976 4 5 9 7 0132 1023 2310 3120 2 0 2 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.096773743028 0.698759588843 6 6 4 6 0321 3120 0132 1023 0 0 1 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 0 1 -1 0 0 0 0 1 -1 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389059018713 0.663964505405 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_1001_12']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : negation(d['c_1001_12']), 'c_1001_1' : negation(d['c_0101_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_9']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_9']), 's_3_11' : d['1'], 's_0_11' : negation(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' : negation(d['c_0101_0']), 'c_0101_10' : d['c_0011_8'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_0_5' : negation(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_8']), 'c_1100_8' : negation(d['c_0011_8']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_8']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : negation(d['c_0011_10']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_12']), 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_0101_5']), 'c_1010_8' : negation(d['c_0011_10']), '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' : negation(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'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_12'], '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_0011_7'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0101_12' : negation(d['c_0101_0']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0011_7'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_12'])})} 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_12, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_0101_8, c_1001_0, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 9986205730721043100944/4103740029389297263175*c_1100_0^6 + 45966048046497533438406/4103740029389297263175*c_1100_0^5 - 48997724230925919564569/16414960117557189052700*c_1100_0^4 - 151074357975664450911481/4103740029389297263175*c_1100_0^3 + 18812690423338781787544/373067275399027023925*c_1100_0^2 - 282519374488634006585069/4103740029389297263175*c_1100_0 + 56371978021435474133048/4103740029389297263175, c_0011_0 - 1, c_0011_10 - 32039990376/154423727219*c_1100_0^6 + 153973025919/154423727219*c_1100_0^5 - 876819723885/1235389817752*c_1100_0^4 - 1990653694063/1235389817752*c_1100_0^3 + 2077800808217/1235389817752*c_1100_0^2 - 747985672099/308847454438*c_1100_0 - 24637477917/308847454438, c_0011_12 - 1, c_0011_7 - 12149644496/154423727219*c_1100_0^6 + 52104776302/154423727219*c_1100_0^5 - 30391285333/617694908876*c_1100_0^4 - 93799730760/154423727219*c_1100_0^3 - 18100331360/154423727219*c_1100_0^2 - 622535530929/617694908876*c_1100_0 - 177780677001/308847454438, c_0011_8 + 24328455456/154423727219*c_1100_0^6 - 126879243244/154423727219*c_1100_0^5 + 236408988641/308847454438*c_1100_0^4 + 161996439193/154423727219*c_1100_0^3 - 166346847958/154423727219*c_1100_0^2 + 619992217493/308847454438*c_1100_0 - 23339407708/154423727219, c_0011_9 + 13545474128/154423727219*c_1100_0^6 - 68899921582/154423727219*c_1100_0^5 + 94355288309/617694908876*c_1100_0^4 + 676623242145/617694908876*c_1100_0^3 + 28669571521/617694908876*c_1100_0^2 + 229030851205/308847454438*c_1100_0 + 87470058539/154423727219, c_0101_0 - 1, c_0101_1 + 7655296568/154423727219*c_1100_0^6 - 30393404189/154423727219*c_1100_0^5 + 131865878567/1235389817752*c_1100_0^4 + 37157980453/1235389817752*c_1100_0^3 - 303156377571/1235389817752*c_1100_0^2 + 393464220565/308847454438*c_1100_0 - 57922673293/308847454438, c_0101_5 - 3098518296/154423727219*c_1100_0^6 + 4916226833/154423727219*c_1100_0^5 + 199011313853/1235389817752*c_1100_0^4 - 110391227417/1235389817752*c_1100_0^3 - 535422536289/1235389817752*c_1100_0^2 - 40459159/308847454438*c_1100_0 + 70303544221/308847454438, c_0101_8 - 3098518296/154423727219*c_1100_0^6 + 4916226833/154423727219*c_1100_0^5 + 199011313853/1235389817752*c_1100_0^4 - 110391227417/1235389817752*c_1100_0^3 - 535422536289/1235389817752*c_1100_0^2 - 40459159/308847454438*c_1100_0 + 70303544221/308847454438, c_1001_0 - 1481433856/154423727219*c_1100_0^6 + 10692140128/154423727219*c_1100_0^5 - 30510058788/154423727219*c_1100_0^4 + 57845068629/154423727219*c_1100_0^3 - 2048349171/154423727219*c_1100_0^2 - 102586306481/154423727219*c_1100_0 - 113407550165/154423727219, c_1001_12 - c_1100_0 + 1, c_1100_0^7 - 43/8*c_1100_0^6 + 433/64*c_1100_0^5 + 109/64*c_1100_0^4 - 471/64*c_1100_0^3 + 701/32*c_1100_0^2 - 149/16*c_1100_0 + 67/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB