Magma V2.19-8 Wed Aug 21 2013 00:01:46 on localhost [Seed = 1064916610] Type ? for help. Type -D to quit. Loading file "L14n57021__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n57021 geometric_solution 10.83586591 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 1 0 1 2310 0132 3201 2310 2 2 2 2 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 -5 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 0 0 0 -0.770630092320 0.473830701975 0 0 3 2 3201 0132 0132 0132 2 2 2 2 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 5 1 -6 0 0 0 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551477185898 1.090391567229 4 3 1 5 0132 2031 0132 0132 2 2 1 2 0 1 -1 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 -6 6 0 0 0 0 0 2 1 0 -3 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620576391655 0.500630272021 2 6 7 1 1302 0132 0132 0132 2 2 2 1 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 0 0 0 0 0 0 1 -1 -5 0 5 0 6 -6 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620576391655 0.500630272021 2 5 8 6 0132 2103 0132 1302 0 2 2 1 0 0 -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 -1 2 -1 0 0 -6 6 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593942170614 0.699368050465 9 4 2 10 0132 2103 0132 0132 2 2 0 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 1 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832385464295 1.355424307992 7 3 4 9 0321 0132 2031 0321 2 0 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 -1 0 1 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593942170614 0.699368050465 6 8 11 3 0321 3120 0132 0132 2 2 1 0 0 0 0 0 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 1 -1 0 0 5 -5 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832385464295 1.355424307992 9 7 11 4 3120 3120 2103 0132 0 2 1 2 0 -1 0 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 1 1 -2 -1 0 -5 6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119167198601 1.090660838967 5 6 10 8 0132 0321 0213 3120 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 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 0.448168029289 0.554928606254 11 9 5 11 1302 0213 0132 0132 2 2 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 0 0 0 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448168029289 0.554928606254 8 10 10 7 2103 2031 0132 0132 2 2 0 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 0 0 0 0 1 0 -1 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448168029289 0.554928606254 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : 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_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_1001_10']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0011_2']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0011_5'], 'c_1100_8' : d['c_0101_6'], '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' : negation(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' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : negation(d['c_0011_5']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), '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_0011_10'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_2'], 'c_1100_9' : negation(d['c_0101_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0011_5']})} 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_2, c_0011_5, c_0011_8, c_0101_0, c_0101_11, c_0101_2, c_0101_4, c_0101_6, c_1001_10, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1598794267/3684224*c_1100_1^8 + 32655797/115132*c_1100_1^7 + 14568573059/1842112*c_1100_1^6 - 17335973879/1842112*c_1100_1^5 - 157442188103/3684224*c_1100_1^4 + 131782565195/1842112*c_1100_1^3 + 124537400397/3684224*c_1100_1^2 - 67033565257/921056*c_1100_1 - 4367321147/460528, c_0011_0 - 1, c_0011_10 - 785/230264*c_1100_1^8 + 5053/230264*c_1100_1^7 + 13275/115132*c_1100_1^6 - 16283/57566*c_1100_1^5 - 153351/230264*c_1100_1^4 + 350663/230264*c_1100_1^3 + 70421/230264*c_1100_1^2 - 444431/230264*c_1100_1 + 18295/57566, c_0011_2 - 1, c_0011_5 - 1, c_0011_8 + 1220/28783*c_1100_1^8 + 977/57566*c_1100_1^7 - 19996/28783*c_1100_1^6 + 8092/28783*c_1100_1^5 + 207711/57566*c_1100_1^4 - 216019/57566*c_1100_1^3 - 150139/57566*c_1100_1^2 + 90665/28783*c_1100_1 - 25183/28783, c_0101_0 - 9727/115132*c_1100_1^8 - 11527/115132*c_1100_1^7 + 37238/28783*c_1100_1^6 + 27997/57566*c_1100_1^5 - 743585/115132*c_1100_1^4 + 252335/115132*c_1100_1^3 + 651715/115132*c_1100_1^2 - 123497/115132*c_1100_1 + 13114/28783, c_0101_11 + 1747/28783*c_1100_1^8 + 5339/57566*c_1100_1^7 - 49057/57566*c_1100_1^6 - 15025/28783*c_1100_1^5 + 233287/57566*c_1100_1^4 - 33978/28783*c_1100_1^3 - 101941/28783*c_1100_1^2 + 98521/57566*c_1100_1 - 979/28783, c_0101_2 + 11527/115132*c_1100_1^8 + 14607/115132*c_1100_1^7 - 89699/57566*c_1100_1^6 - 42789/57566*c_1100_1^5 + 939753/115132*c_1100_1^4 - 195113/115132*c_1100_1^3 - 1121553/115132*c_1100_1^2 + 174219/115132*c_1100_1 + 32568/28783, c_0101_4 + 1220/28783*c_1100_1^8 + 977/57566*c_1100_1^7 - 19996/28783*c_1100_1^6 + 8092/28783*c_1100_1^5 + 207711/57566*c_1100_1^4 - 216019/57566*c_1100_1^3 - 150139/57566*c_1100_1^2 + 90665/28783*c_1100_1 - 25183/28783, c_0101_6 + 23839/230264*c_1100_1^8 + 24161/230264*c_1100_1^7 - 192673/115132*c_1100_1^6 - 13253/28783*c_1100_1^5 + 2032857/230264*c_1100_1^4 - 740889/230264*c_1100_1^3 - 2313527/230264*c_1100_1^2 + 562605/230264*c_1100_1 + 46841/57566, c_1001_10 - 23839/230264*c_1100_1^8 - 24161/230264*c_1100_1^7 + 192673/115132*c_1100_1^6 + 13253/28783*c_1100_1^5 - 2032857/230264*c_1100_1^4 + 740889/230264*c_1100_1^3 + 2313527/230264*c_1100_1^2 - 562605/230264*c_1100_1 - 46841/57566, c_1100_1^9 - c_1100_1^8 - 18*c_1100_1^7 + 28*c_1100_1^6 + 91*c_1100_1^5 - 199*c_1100_1^4 - 21*c_1100_1^3 + 195*c_1100_1^2 - 36*c_1100_1 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB