Magma V2.19-8 Tue Aug 20 2013 17:55:52 on localhost [Seed = 2665425272] Type ? for help. Type -D to quit. Loading file "10^2_125__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_125 geometric_solution 10.36486961 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2103 0 0 1 0 0 0 0 0 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 1 0 -1 -1 0 1 0 -2 -1 0 3 1 2 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883651970256 1.121539794445 0 4 5 0 0132 0132 0132 2103 1 0 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 3 -3 1 0 -1 0 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883651970256 1.121539794445 6 0 4 7 0132 0132 3120 0132 0 1 0 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 -1 0 1 3 0 -3 0 0 -2 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392398304589 0.429241450781 6 8 6 0 2031 0132 3012 0132 0 0 0 1 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 0 0 0 1 -1 0 -3 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349696813128 0.797038411921 8 1 2 9 3120 0132 3120 0132 1 1 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502821705917 0.460957596368 10 9 7 1 0132 1023 2031 0132 1 0 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 3 0 -3 0 0 -1 1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954947912459 0.857353964074 2 3 3 10 0132 1230 1302 0321 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 0 0 0 0 -1 0 1 -3 0 1 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538389442083 1.052115238674 8 10 2 5 0213 1230 0132 1302 0 1 1 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 0 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 0.544721325356 0.564780264601 7 3 10 4 0213 0132 1230 3120 0 1 1 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 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142094821841 0.734998523223 5 9 4 9 1023 2310 0132 3201 1 1 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 0 0 0 0 0 0 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 0 0 0 0 0.698999415300 0.877467854389 5 6 7 8 0132 0321 3012 3012 0 0 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 -1 0 1 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 0.040907066615 0.693371381006 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0110_9'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_7']), '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_1'], '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_10' : 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_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0101_4']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_4']), 'c_1100_10' : negation(d['c_1001_0']), 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_9']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_4']), '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' : negation(d['1']), 's_3_8' : d['1'], '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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_10' : negation(d['c_0101_4']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_9'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0101_9']), 'c_0110_6' : negation(d['c_0011_10'])})} 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_4, c_0101_9, c_0110_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 334599274/2361645*c_1001_2^10 - 28913267/71565*c_1001_2^9 + 2509911/23855*c_1001_2^8 + 2327613802/2361645*c_1001_2^7 - 4377268667/2361645*c_1001_2^6 - 301738291/42939*c_1001_2^5 - 3256937051/787215*c_1001_2^4 + 19341360989/2361645*c_1001_2^3 + 4545860841/262405*c_1001_2^2 + 6271089988/472329*c_1001_2 + 3615848498/787215, c_0011_0 - 1, c_0011_10 + 1745/1101*c_1001_2^10 + 1458/367*c_1001_2^9 - 952/367*c_1001_2^8 - 11939/1101*c_1001_2^7 + 27055/1101*c_1001_2^6 + 79760/1101*c_1001_2^5 + 6788/367*c_1001_2^4 - 122200/1101*c_1001_2^3 - 55740/367*c_1001_2^2 - 89833/1101*c_1001_2 - 6046/367, c_0011_3 + 2431/1101*c_1001_2^10 + 1575/367*c_1001_2^9 - 1998/367*c_1001_2^8 - 12043/1101*c_1001_2^7 + 42830/1101*c_1001_2^6 + 84253/1101*c_1001_2^5 - 2241/367*c_1001_2^4 - 145046/1101*c_1001_2^3 - 52071/367*c_1001_2^2 - 72002/1101*c_1001_2 - 4157/367, c_0011_7 - 994/1101*c_1001_2^10 - 1293/367*c_1001_2^9 - 222/367*c_1001_2^8 + 10936/1101*c_1001_2^7 - 9758/1101*c_1001_2^6 - 72031/1101*c_1001_2^5 - 17498/367*c_1001_2^4 + 86603/1101*c_1001_2^3 + 57950/367*c_1001_2^2 + 113069/1101*c_1001_2 + 8917/367, c_0101_0 - 1, c_0101_1 - 931/1101*c_1001_2^10 - 552/367*c_1001_2^9 + 738/367*c_1001_2^8 + 3916/1101*c_1001_2^7 - 15668/1101*c_1001_2^6 - 29140/1101*c_1001_2^5 + 64/367*c_1001_2^4 + 50666/1101*c_1001_2^3 + 20265/367*c_1001_2^2 + 32345/1101*c_1001_2 + 2286/367, c_0101_4 - 2705/1101*c_1001_2^10 - 2421/367*c_1001_2^9 + 1318/367*c_1001_2^8 + 20135/1101*c_1001_2^7 - 41488/1101*c_1001_2^6 - 133397/1101*c_1001_2^5 - 13043/367*c_1001_2^4 + 197797/1101*c_1001_2^3 + 91686/367*c_1001_2^2 + 146614/1101*c_1001_2 + 9695/367, c_0101_9 - 3598/1101*c_1001_2^10 - 2561/367*c_1001_2^9 + 2670/367*c_1001_2^8 + 20341/1101*c_1001_2^7 - 61280/1101*c_1001_2^6 - 138676/1101*c_1001_2^5 - 1687/367*c_1001_2^4 + 229880/1101*c_1001_2^3 + 88999/367*c_1001_2^2 + 127577/1101*c_1001_2 + 7626/367, c_0110_9 - 206/1101*c_1001_2^10 - 186/367*c_1001_2^9 + 129/367*c_1001_2^8 + 1511/1101*c_1001_2^7 - 3604/1101*c_1001_2^6 - 10154/1101*c_1001_2^5 - 505/367*c_1001_2^4 + 14224/1101*c_1001_2^3 + 5883/367*c_1001_2^2 + 8278/1101*c_1001_2 + 507/367, c_1001_0 + 1925/1101*c_1001_2^10 + 1845/367*c_1001_2^9 - 516/367*c_1001_2^8 - 14852/1101*c_1001_2^7 + 25426/1101*c_1001_2^6 + 101171/1101*c_1001_2^5 + 17434/367*c_1001_2^4 - 137269/1101*c_1001_2^3 - 78215/367*c_1001_2^2 - 145414/1101*c_1001_2 - 11203/367, c_1001_2^11 + 3*c_1001_2^10 - 7*c_1001_2^8 + 11*c_1001_2^7 + 52*c_1001_2^6 + 42*c_1001_2^5 - 53*c_1001_2^4 - 135*c_1001_2^3 - 119*c_1001_2^2 - 51*c_1001_2 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB