Magma V2.19-8 Tue Aug 20 2013 23:52:38 on localhost [Seed = 3920593457] Type ? for help. Type -D to quit. Loading file "L13n3116__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3116 geometric_solution 11.41435518 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 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 -1 0 1 1 0 -1 0 -4 4 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443284368747 0.709474020587 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 -1 1 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470380490984 1.405714479858 8 0 5 9 0132 0132 0132 0132 1 1 1 1 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 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 0 0.363660575536 0.662426631042 8 10 9 0 3012 0132 1230 0132 1 0 1 1 0 0 0 0 -1 0 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 -1 1 0 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443284368747 0.709474020587 8 5 0 10 1023 1023 0132 3120 1 0 1 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 0 -1 1 0 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 0 0 0.477971054952 0.922668179548 4 1 7 2 1023 0132 3012 0132 1 1 1 1 0 0 1 -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 0 3 -3 0 0 0 0 -3 3 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464508491980 0.821002759992 9 11 1 10 0213 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124051891103 0.638344431521 11 5 10 1 3120 1230 0132 0132 1 0 1 1 0 0 0 0 -1 0 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 1 0 0 -1 0 -1 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.306852354313 0.628997486716 2 4 11 3 0132 1023 1302 1230 0 1 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 0 0 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754191764002 0.785110414631 6 11 2 3 0213 0213 0132 3012 1 1 0 1 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 4 -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 0 0 0.464508491980 0.821002759992 4 3 6 7 3120 0132 0132 0132 1 0 1 1 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 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470380490984 1.405714479858 8 6 9 7 2031 0132 0213 3120 1 0 1 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 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 0.557341126612 0.854502072119 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_1'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(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_3']), 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_10']), 'c_1100_3' : negation(d['c_0101_10']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1100_1'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_5'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0101_3'], 's_3_1' : negation(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' : 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' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} 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_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_0, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 78291801396741907/183333427833268525*c_1100_1^9 + 572518114615885396/183333427833268525*c_1100_1^8 - 621549040877341801/183333427833268525*c_1100_1^7 - 532900314281478561/183333427833268525*c_1100_1^6 + 2400907931010028737/183333427833268525*c_1100_1^5 + 1910584138785561119/183333427833268525*c_1100_1^4 - 4412984021504945582/183333427833268525*c_1100_1^3 + 14197307247300350458/183333427833268525*c_1100_1^2 + 686748499823603833/183333427833268525*c_1100_1 + 861196160444229779/36666685566653705, c_0011_0 - 1, c_0011_10 + 26041116302/1234011778075*c_1100_1^9 + 206677993471/1234011778075*c_1100_1^8 - 95374653191/1234011778075*c_1100_1^7 - 371950106116/1234011778075*c_1100_1^6 + 683988921762/1234011778075*c_1100_1^5 + 1446874887199/1234011778075*c_1100_1^4 - 1100415241922/1234011778075*c_1100_1^3 + 2504082966073/1234011778075*c_1100_1^2 + 3274040529623/1234011778075*c_1100_1 + 523404479391/246802355615, c_0011_11 + 4322445936/246802355615*c_1100_1^9 + 29185598883/246802355615*c_1100_1^8 - 54282248538/246802355615*c_1100_1^7 - 28954276533/246802355615*c_1100_1^6 + 151164083951/246802355615*c_1100_1^5 + 75950123412/246802355615*c_1100_1^4 - 343789570946/246802355615*c_1100_1^3 + 803585253389/246802355615*c_1100_1^2 - 387829171956/246802355615*c_1100_1 - 49566135660/49360471123, c_0011_7 + 708634058/1234011778075*c_1100_1^9 + 7974923359/1234011778075*c_1100_1^8 + 27963708086/1234011778075*c_1100_1^7 + 73630537386/1234011778075*c_1100_1^6 - 98353716302/1234011778075*c_1100_1^5 - 223373201354/1234011778075*c_1100_1^4 + 707686113087/1234011778075*c_1100_1^3 + 959496368367/1234011778075*c_1100_1^2 - 983906390433/1234011778075*c_1100_1 + 139973660264/246802355615, c_0011_9 - 1, c_0101_1 - 3333081561/1234011778075*c_1100_1^9 - 23138581403/1234011778075*c_1100_1^8 + 41641694888/1234011778075*c_1100_1^7 + 64136507813/1234011778075*c_1100_1^6 - 96621781941/1234011778075*c_1100_1^5 - 24199842682/1234011778075*c_1100_1^4 + 149304313421/1234011778075*c_1100_1^3 - 160225623314/1234011778075*c_1100_1^2 + 702724710161/1234011778075*c_1100_1 + 73152415207/246802355615, c_0101_10 - 4324228928/1234011778075*c_1100_1^9 - 45386721869/1234011778075*c_1100_1^8 - 66544994701/1234011778075*c_1100_1^7 + 139996848349/1234011778075*c_1100_1^6 - 3975671493/1234011778075*c_1100_1^5 - 446158325836/1234011778075*c_1100_1^4 - 178519853092/1234011778075*c_1100_1^3 - 323484922372/1234011778075*c_1100_1^2 - 1829149316997/1234011778075*c_1100_1 + 1968264891/246802355615, c_0101_3 + 21344486733/1234011778075*c_1100_1^9 + 162726182734/1234011778075*c_1100_1^8 - 131123852339/1234011778075*c_1100_1^7 - 271585831789/1234011778075*c_1100_1^6 + 719457437198/1234011778075*c_1100_1^5 + 942037609946/1234011778075*c_1100_1^4 - 1404161075988/1234011778075*c_1100_1^3 + 2812442135242/1234011778075*c_1100_1^2 + 1881005423667/1234011778075*c_1100_1 + 96727274904/246802355615, c_0101_5 - 1836955492/1234011778075*c_1100_1^9 - 27272586991/1234011778075*c_1100_1^8 - 82414504489/1234011778075*c_1100_1^7 + 183498199061/1234011778075*c_1100_1^6 + 235151419523/1234011778075*c_1100_1^5 - 683837094679/1234011778075*c_1100_1^4 - 509581739788/1234011778075*c_1100_1^3 + 953461144867/1234011778075*c_1100_1^2 - 1088110392183/1234011778075*c_1100_1 - 16507160056/246802355615, c_1001_0 + 21344486733/1234011778075*c_1100_1^9 + 162726182734/1234011778075*c_1100_1^8 - 131123852339/1234011778075*c_1100_1^7 - 271585831789/1234011778075*c_1100_1^6 + 719457437198/1234011778075*c_1100_1^5 + 942037609946/1234011778075*c_1100_1^4 - 1404161075988/1234011778075*c_1100_1^3 + 2812442135242/1234011778075*c_1100_1^2 + 3115017201742/1234011778075*c_1100_1 + 96727274904/246802355615, c_1001_3 - 2390778674/1234011778075*c_1100_1^9 - 13862200477/1234011778075*c_1100_1^8 + 47093580992/1234011778075*c_1100_1^7 - 16413927483/1234011778075*c_1100_1^6 - 221210486644/1234011778075*c_1100_1^5 + 231902832212/1234011778075*c_1100_1^4 + 557250400239/1234011778075*c_1100_1^3 - 774047355326/1234011778075*c_1100_1^2 - 732141677826/1234011778075*c_1100_1 + 310186692068/246802355615, c_1100_1^10 + 8*c_1100_1^9 - 3*c_1100_1^8 - 13*c_1100_1^7 + 26*c_1100_1^6 + 47*c_1100_1^5 - 41*c_1100_1^4 + 139*c_1100_1^3 + 139*c_1100_1^2 + 55*c_1100_1 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB