Magma V2.19-8 Wed Aug 21 2013 00:58:21 on localhost [Seed = 3230063194] Type ? for help. Type -D to quit. Loading file "L13n5230__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5230 geometric_solution 11.48540626 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3120 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 1 0 -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 -0.003364517465 0.640684303225 0 4 5 5 0132 0132 2103 0132 1 0 1 1 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 -3 3 -1 0 -2 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554646373296 0.418248211113 6 0 8 7 0132 0132 0132 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 -1 1 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 0.995932430872 0.915573067867 0 7 9 0 3120 2310 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 -1 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 0.707982410383 0.452072212437 7 1 10 11 0132 0132 0132 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 0.081181305601 1.104157326429 1 8 1 12 2103 0213 0132 0132 1 0 1 1 0 -1 1 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 3 -3 0 2 0 -3 1 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.149373312274 0.866720409443 2 10 11 11 0132 0213 2103 0213 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 1.123536786340 0.979443483950 4 10 2 3 0132 2031 0132 3201 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 1.407100538956 0.644995490280 11 12 5 2 1023 0132 0213 0132 1 1 1 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 4 -3 -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 0.596554683983 0.560246766717 12 10 12 3 3120 3120 2103 0132 1 0 1 1 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 0 0 0 0 -1 1 -1 0 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423214012753 0.587698686441 7 9 6 4 1302 3120 0213 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 -0.202197270347 0.959213737285 6 8 4 6 2103 1023 0132 0213 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 0.233689495357 0.879065555204 9 8 5 9 2103 0132 0132 3120 1 0 1 1 0 1 0 -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 -4 0 4 1 0 -1 0 0 -1 0 1 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193109367965 1.120493533433 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_5'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0101_2'], 'c_1010_10' : negation(d['c_0011_9']), 's_3_11' : d['1'], 's_3_10' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_0'], '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' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : 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_1100_8' : negation(d['c_0011_3']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1010_6'], 'c_1100_10' : d['c_1010_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : d['1'], 's_3_0' : 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'], 'c_1100_12' : negation(d['c_0101_12']), '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' : 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_11'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_5, c_0011_9, c_0101_0, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_4, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 466342314583319377/290328607969936640*c_1010_6^7 - 113198069842404022651/49065534746919292160*c_1010_6^6 - 19995071605612841867/12266383686729823040*c_1010_6^5 - 9454644230209635537/6133191843364911520*c_1010_6^4 + 3530901505269025133/1226638368672982304*c_1010_6^3 - 910659083779367999/766648980420613940*c_1010_6^2 - 4208213675366185371/383324490210306970*c_1010_6 - 174037476147140498/38332449021030697, c_0011_0 - 1, c_0011_10 - 3974243/24279328*c_1010_6^7 - 85376511/315631264*c_1010_6^6 - 6892039/12139664*c_1010_6^5 + 49406277/157815632*c_1010_6^4 - 1866607/39453908*c_1010_6^3 - 44678445/39453908*c_1010_6^2 - 6187124/9863477*c_1010_6 - 9848381/9863477, c_0011_11 - 2416297/12139664*c_1010_6^7 - 60025965/315631264*c_1010_6^6 + 8079729/12139664*c_1010_6^5 + 18927231/157815632*c_1010_6^4 - 24157927/19726954*c_1010_6^3 - 1562920/9863477*c_1010_6^2 + 405579/9863477*c_1010_6 + 5951910/9863477, c_0011_3 + 1710033/48558656*c_1010_6^7 - 50002959/157815632*c_1010_6^6 - 5172855/12139664*c_1010_6^5 + 60759099/157815632*c_1010_6^4 + 433816/9863477*c_1010_6^3 - 10989907/39453908*c_1010_6^2 - 5694307/9863477*c_1010_6 - 2922306/9863477, c_0011_5 - 816816/758729*c_1010_6^7 - 890080205/631262528*c_1010_6^6 + 7372935/6069832*c_1010_6^5 + 24254673/157815632*c_1010_6^4 - 75845769/39453908*c_1010_6^3 - 19091107/9863477*c_1010_6^2 - 22193622/9863477*c_1010_6 - 1885697/9863477, c_0011_9 + 38423489/97117312*c_1010_6^7 + 401294983/631262528*c_1010_6^6 - 18188613/24279328*c_1010_6^5 + 484759/157815632*c_1010_6^4 + 108182923/78907816*c_1010_6^3 + 24540561/39453908*c_1010_6^2 + 8959621/9863477*c_1010_6 - 2521691/9863477, c_0101_0 - 1, c_0101_11 + 1710033/48558656*c_1010_6^7 - 50002959/157815632*c_1010_6^6 - 5172855/12139664*c_1010_6^5 + 60759099/157815632*c_1010_6^4 + 433816/9863477*c_1010_6^3 - 10989907/39453908*c_1010_6^2 - 5694307/9863477*c_1010_6 - 12785783/9863477, c_0101_12 + 66128959/97117312*c_1010_6^7 + 244392611/315631264*c_1010_6^6 - 11303127/24279328*c_1010_6^5 - 3092429/19726954*c_1010_6^4 + 43508615/78907816*c_1010_6^3 + 51823867/39453908*c_1010_6^2 + 13234001/9863477*c_1010_6 + 4407388/9863477, c_0101_2 - 60114431/97117312*c_1010_6^7 + 3549537/315631264*c_1010_6^6 + 8950249/12139664*c_1010_6^5 - 2785511/19726954*c_1010_6^4 - 39029799/78907816*c_1010_6^3 - 9847337/9863477*c_1010_6^2 - 3352641/9863477*c_1010_6 + 3413838/9863477, c_0101_3 - 6238453/97117312*c_1010_6^7 - 185382429/631262528*c_1010_6^6 - 6032447/12139664*c_1010_6^5 + 3442668/9863477*c_1010_6^4 - 131343/78907816*c_1010_6^3 - 6958544/9863477*c_1010_6^2 - 11881431/19726954*c_1010_6 - 1453605/9863477, c_0101_4 + 9658519/97117312*c_1010_6^7 - 1125339/48558656*c_1010_6^6 + 107449/1517458*c_1010_6^5 + 436647/12139664*c_1010_6^4 + 277067/6069832*c_1010_6^3 + 1295713/3034916*c_1010_6^2 + 37909/1517458*c_1010_6 - 112977/758729, c_1010_6^8 + 212/169*c_1010_6^7 - 32/169*c_1010_6^6 - 16/169*c_1010_6^5 + 64/169*c_1010_6^4 + 320/169*c_1010_6^3 + 512/169*c_1010_6^2 + 256/169*c_1010_6 + 256/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.680 seconds, Total memory usage: 32.09MB