Magma V2.19-8 Wed Aug 21 2013 01:00:42 on localhost [Seed = 206182172] Type ? for help. Type -D to quit. Loading file "L13n9798__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9798 geometric_solution 12.75754410 oriented_manifold CS_known 0.0000000000000000 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 1 2 1 2 0 0 0 0 0 0 0 0 0 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 -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 0.555718767467 0.568552843000 0 5 5 6 0132 0132 0321 0132 0 2 2 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 0 0 0 0 -2 1 1 -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 0.743691414202 0.856866990502 7 0 9 8 0132 0132 0132 0132 1 2 2 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 0 0 0 1 0 -1 5 0 0 -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 0.403099024055 1.128390163556 7 9 8 0 2031 2031 2103 0132 1 2 2 2 0 0 0 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 0 0 0 -6 0 5 1 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566253150245 0.704690226597 10 10 0 11 0132 3120 0132 0132 1 2 1 1 0 1 0 -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 -1 -1 2 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 0.743691414202 0.856866990502 10 1 1 11 3201 0132 0321 2031 0 1 1 2 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 -1 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743691414202 0.856866990502 12 11 1 11 0132 2031 0132 2103 0 2 1 2 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 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320419724549 1.071197378021 2 12 3 9 0132 1302 1302 1302 2 2 1 2 0 0 1 -1 -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 0 0 0 0 6 -6 -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 0 0 0 0.566253150245 0.704690226597 3 9 2 12 2103 2103 0132 0132 1 2 1 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 1 -1 -5 0 5 0 0 0 0 0 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366296888427 0.692452890009 3 8 7 2 1302 2103 2031 0132 1 2 1 2 0 0 0 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 0 0 0 -6 0 6 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 0.054245772327 0.969819377011 4 4 12 5 0132 3120 0213 2310 1 2 1 1 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 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 0.743691414202 0.856866990502 6 5 4 6 1302 1302 0132 2103 1 2 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 -2 2 0 0 0 0 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743691414202 0.856866990502 6 10 8 7 0132 0213 0132 2031 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.120803439032 0.899501210967 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0110_11']), 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_11']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : negation(d['c_1001_10']), 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : d['c_0011_9'], 'c_1010_12' : d['c_0011_0'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_12'], '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' : negation(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' : negation(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' : d['c_0011_12'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0110_11']), 'c_1100_1' : negation(d['c_0110_11']), 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : negation(d['c_1010_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : negation(d['c_0110_11']), 'c_1010_0' : negation(d['c_1001_10']), 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : negation(d['c_1010_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 'c_1100_12' : negation(d['c_1010_7']), 's_1_7' : negation(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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0101_1'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_8']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1010_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_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_11, c_0011_12, c_0011_3, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0110_11, c_1001_10, c_1010_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 32719907/31625536*c_1010_7^11 - 644432253/31625536*c_1010_7^10 + 253099207/31625536*c_1010_7^9 + 43602967/31625536*c_1010_7^8 + 519333397/3953192*c_1010_7^7 - 96894175/15812768*c_1010_7^6 + 1826758745/15812768*c_1010_7^5 - 1296702939/15812768*c_1010_7^4 + 1940373829/31625536*c_1010_7^3 - 726113101/31625536*c_1010_7^2 + 116375095/31625536*c_1010_7 + 167187735/31625536, c_0011_0 - 1, c_0011_10 + 775853/3953192*c_1010_7^11 - 6920719/1976596*c_1010_7^10 - 19929521/3953192*c_1010_7^9 - 7618849/988298*c_1010_7^8 + 8159503/988298*c_1010_7^7 + 12340305/1976596*c_1010_7^6 + 5721971/494149*c_1010_7^5 - 10660125/1976596*c_1010_7^4 - 16948903/3953192*c_1010_7^3 - 4864353/1976596*c_1010_7^2 - 1262677/3953192*c_1010_7 + 425726/494149, c_0011_11 - 1, c_0011_12 + 2818337/7906384*c_1010_7^11 - 52184453/7906384*c_1010_7^10 - 36386299/7906384*c_1010_7^9 - 98795401/7906384*c_1010_7^8 + 19381557/988298*c_1010_7^7 - 27268933/3953192*c_1010_7^6 + 107167537/3953192*c_1010_7^5 - 86726945/3953192*c_1010_7^4 + 97089875/7906384*c_1010_7^3 - 84906709/7906384*c_1010_7^2 + 31310165/7906384*c_1010_7 - 16904361/7906384, c_0011_3 - 1633429/63251072*c_1010_7^11 + 28206847/63251072*c_1010_7^10 + 54326079/63251072*c_1010_7^9 + 166908011/63251072*c_1010_7^8 + 4510371/7906384*c_1010_7^7 + 47560849/31625536*c_1010_7^6 - 129812139/31625536*c_1010_7^5 + 72900629/31625536*c_1010_7^4 - 198676715/63251072*c_1010_7^3 + 168597279/63251072*c_1010_7^2 - 149500737/63251072*c_1010_7 + 24607547/63251072, c_0011_8 - 176769/3953192*c_1010_7^11 + 2912343/3953192*c_1010_7^10 + 8722665/3953192*c_1010_7^9 + 15239169/3953192*c_1010_7^8 + 1590671/988298*c_1010_7^7 - 1669669/1976596*c_1010_7^6 - 5394577/1976596*c_1010_7^5 - 172063/1976596*c_1010_7^4 - 3921751/3953192*c_1010_7^3 + 2214427/3953192*c_1010_7^2 - 8010003/3953192*c_1010_7 + 1640061/3953192, c_0011_9 + c_1010_7, c_0101_0 - 1, c_0101_1 - 2818337/7906384*c_1010_7^11 + 52184453/7906384*c_1010_7^10 + 36386299/7906384*c_1010_7^9 + 98795401/7906384*c_1010_7^8 - 19381557/988298*c_1010_7^7 + 27268933/3953192*c_1010_7^6 - 107167537/3953192*c_1010_7^5 + 86726945/3953192*c_1010_7^4 - 97089875/7906384*c_1010_7^3 + 84906709/7906384*c_1010_7^2 - 31310165/7906384*c_1010_7 + 16904361/7906384, c_0101_12 - 1, c_0110_11 - 5380337/15812768*c_1010_7^11 + 97477915/15812768*c_1010_7^10 + 109245347/15812768*c_1010_7^9 + 214301215/15812768*c_1010_7^8 - 26412107/1976596*c_1010_7^7 + 11858429/7906384*c_1010_7^6 - 144399967/7906384*c_1010_7^5 + 115991393/7906384*c_1010_7^4 - 40044191/15812768*c_1010_7^3 + 56846875/15812768*c_1010_7^2 - 42124909/15812768*c_1010_7 + 1933199/15812768, c_1001_10 + 1454387/7906384*c_1010_7^11 - 25617115/7906384*c_1010_7^10 - 42121449/7906384*c_1010_7^9 - 84594031/7906384*c_1010_7^8 + 475975/988298*c_1010_7^7 - 11344079/3953192*c_1010_7^6 + 35996879/3953192*c_1010_7^5 - 7679051/3953192*c_1010_7^4 + 28539969/7906384*c_1010_7^3 - 3126795/7906384*c_1010_7^2 + 11267687/7906384*c_1010_7 - 5088047/7906384, c_1010_7^12 - 18*c_1010_7^11 - 22*c_1010_7^10 - 50*c_1010_7^9 + 25*c_1010_7^8 - 18*c_1010_7^7 + 68*c_1010_7^6 - 36*c_1010_7^5 + 29*c_1010_7^4 - 20*c_1010_7^3 + 10*c_1010_7^2 - 2*c_1010_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB