Magma V2.19-8 Tue Aug 20 2013 23:40:07 on localhost [Seed = 3583226238] Type ? for help. Type -D to quit. Loading file "K14n422__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n422 geometric_solution 10.39521545 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 0 1 -10 0 9 1 10 -1 0 -9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814339254883 0.540927640455 0 2 6 5 0132 0213 0132 0132 0 0 0 0 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 10 0 0 -10 1 -1 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554826523923 0.573405609470 7 0 1 4 0132 0132 0213 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647733956294 0.578847234136 7 8 9 0 3012 0132 0132 0132 0 0 0 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 0 0 0 0 0 0 0 9 0 0 -9 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743493826109 0.511984650250 8 6 0 2 2031 0132 0132 1023 0 0 0 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 0 -1 1 0 0 -1 1 0 1 0 -1 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465819802396 0.549546503492 7 10 1 9 2031 0132 0132 0321 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 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427691892838 1.125414374475 9 4 10 1 0132 0132 2103 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 10 0 0 -10 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.035326445263 0.901179851706 2 8 5 3 0132 1023 1302 1230 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 9 0 -9 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 0.588166920796 1.104236579144 7 3 4 10 1023 0132 1302 0132 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 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770008801419 0.539057043969 6 5 10 3 0132 0321 2031 0132 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 -1 0 0 1 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465111551520 0.785785549483 6 5 8 9 2103 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450471246208 0.478326660268 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_0110_4'], 'c_1010_10' : d['c_1001_5'], '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' : negation(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_10' : d['1'], 's_0_8' : negation(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_1100_9' : negation(d['c_1001_5']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : d['c_1001_5'], 'c_1100_10' : d['c_0101_1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_4'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_10' : d['c_0110_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0011_4']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_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_10'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0101_1']})} 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_4, c_0101_0, c_0101_1, c_0101_10, c_0110_10, c_0110_4, c_1001_1, c_1001_10, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 1567116099724/121429637901*c_1001_5^12 - 37906802089303/485718551604*c_1001_5^11 - 85678967258191/485718551604*c_1001_5^10 - 49320803697025/161906183868*c_1001_5^9 - 8244981872311/13492181989*c_1001_5^8 - 298595262549209/242859275802*c_1001_5^7 - 971029229848553/485718551604*c_1001_5^6 - 189869201072515/80953091934*c_1001_5^5 - 504301512081475/242859275802*c_1001_5^4 - 203438307125354/121429637901*c_1001_5^3 - 131792535720427/161906183868*c_1001_5^2 - 4653190046883/26984363978*c_1001_5 - 2497526650175/242859275802, c_0011_0 - 1, c_0011_10 + 255202060/849158307*c_1001_5^12 + 1195539253/849158307*c_1001_5^11 + 1654035964/849158307*c_1001_5^10 + 309733341/94350923*c_1001_5^9 + 2301093340/283052769*c_1001_5^8 + 12782169058/849158307*c_1001_5^7 + 16786213664/849158307*c_1001_5^6 + 1482308170/94350923*c_1001_5^5 + 9873128171/849158307*c_1001_5^4 + 10782708374/849158307*c_1001_5^3 - 302866452/94350923*c_1001_5^2 + 755390335/283052769*c_1001_5 + 1082926381/849158307, c_0011_4 - 495527761/849158307*c_1001_5^12 - 2445576148/849158307*c_1001_5^11 - 3783902863/849158307*c_1001_5^10 - 2032896155/283052769*c_1001_5^9 - 4785768092/283052769*c_1001_5^8 - 27637856035/849158307*c_1001_5^7 - 37894700816/849158307*c_1001_5^6 - 10622684530/283052769*c_1001_5^5 - 21669588227/849158307*c_1001_5^4 - 21256359158/849158307*c_1001_5^3 + 1072423381/283052769*c_1001_5^2 - 542280008/283052769*c_1001_5 - 2818829203/849158307, c_0101_0 + 195115477/849158307*c_1001_5^12 + 833438383/849158307*c_1001_5^11 + 915315181/849158307*c_1001_5^10 + 190766504/94350923*c_1001_5^9 + 1499400667/283052769*c_1001_5^8 + 7863214486/849158307*c_1001_5^7 + 9349971944/849158307*c_1001_5^6 + 644177939/94350923*c_1001_5^5 + 4573524071/849158307*c_1001_5^4 + 5688664211/849158307*c_1001_5^3 - 612739455/94350923*c_1001_5^2 + 934837585/283052769*c_1001_5 - 896152118/849158307, c_0101_1 - 80650951/283052769*c_1001_5^12 - 125277697/94350923*c_1001_5^11 - 517276480/283052769*c_1001_5^10 - 873336026/283052769*c_1001_5^9 - 2127707878/283052769*c_1001_5^8 - 1316204932/94350923*c_1001_5^7 - 5163619631/283052769*c_1001_5^6 - 3990455746/283052769*c_1001_5^5 - 2702706751/283052769*c_1001_5^4 - 2700834649/283052769*c_1001_5^3 + 1500740749/283052769*c_1001_5^2 - 678158908/283052769*c_1001_5 - 58778333/94350923, c_0101_10 + 321326102/849158307*c_1001_5^12 + 1619648288/849158307*c_1001_5^11 + 2621127770/849158307*c_1001_5^10 + 470544178/94350923*c_1001_5^9 + 3267022331/283052769*c_1001_5^8 + 18940426517/849158307*c_1001_5^7 + 26524685959/849158307*c_1001_5^6 + 2619889332/94350923*c_1001_5^5 + 16845022648/849158307*c_1001_5^4 + 15287006872/849158307*c_1001_5^3 - 95316342/94350923*c_1001_5^2 + 262314719/283052769*c_1001_5 + 2128185965/849158307, c_0110_10 - 59874010/849158307*c_1001_5^12 - 261815251/849158307*c_1001_5^11 - 294223654/849158307*c_1001_5^10 - 159933451/283052769*c_1001_5^9 - 140673566/94350923*c_1001_5^8 - 2347059493/849158307*c_1001_5^7 - 2848312091/849158307*c_1001_5^6 - 397575794/283052769*c_1001_5^5 - 259320440/849158307*c_1001_5^4 - 1199782352/849158307*c_1001_5^3 + 303516053/283052769*c_1001_5^2 - 137534179/94350923*c_1001_5 + 46837376/849158307, c_0110_4 - 80471047/849158307*c_1001_5^12 - 387580516/849158307*c_1001_5^11 - 530026711/849158307*c_1001_5^10 - 83642420/94350923*c_1001_5^9 - 673183474/283052769*c_1001_5^8 - 3885153196/849158307*c_1001_5^7 - 4778572730/849158307*c_1001_5^6 - 320774981/94350923*c_1001_5^5 - 956586386/849158307*c_1001_5^4 - 1704989828/849158307*c_1001_5^3 + 166729425/94350923*c_1001_5^2 + 303758816/283052769*c_1001_5 - 255202060/849158307, c_1001_1 + c_1001_5, c_1001_10 - 16437186/94350923*c_1001_5^12 - 235789642/283052769*c_1001_5^11 - 111434477/94350923*c_1001_5^10 - 511638313/283052769*c_1001_5^9 - 1244189432/283052769*c_1001_5^8 - 2421277717/283052769*c_1001_5^7 - 1034423260/94350923*c_1001_5^6 - 2046975254/283052769*c_1001_5^5 - 851183827/283052769*c_1001_5^4 - 953896843/283052769*c_1001_5^3 + 1036551596/283052769*c_1001_5^2 + 78226657/283052769*c_1001_5 - 152682652/283052769, c_1001_5^13 + 5*c_1001_5^12 + 8*c_1001_5^11 + 13*c_1001_5^10 + 30*c_1001_5^9 + 58*c_1001_5^8 + 81*c_1001_5^7 + 71*c_1001_5^6 + 50*c_1001_5^5 + 46*c_1001_5^4 - 4*c_1001_5^3 + 3*c_1001_5^2 + 4*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.350 seconds, Total memory usage: 32.09MB