Magma V2.19-8 Tue Aug 20 2013 23:49:59 on localhost [Seed = 3667701779] Type ? for help. Type -D to quit. Loading file "K11n93__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n93 geometric_solution 12.58387206 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 1 0 0 -1 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412484089041 0.546139265816 0 5 6 3 0132 0132 0132 0321 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 0 0 0 0 0 0 0 0 0 0 11 0 -11 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295437294989 1.229978748261 7 0 6 5 0132 0132 3012 0132 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 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845586353225 0.917061739427 8 1 9 0 0132 0321 0132 0132 0 0 0 0 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 11 0 -11 0 -1 11 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952824052492 0.714282434937 8 10 0 7 3120 0132 0132 1302 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 1 -1 0 -10 0 0 10 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486151122921 0.800708365498 9 1 2 7 2031 0132 0132 1023 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 -1 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.797331948446 1.026984740433 11 2 12 1 0132 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339420625540 1.121139426393 2 9 4 5 0132 2031 2031 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 0 0 0 0 0 0 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446326120527 0.432422848638 3 11 11 4 0132 2310 3120 3120 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 -11 0 1 10 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576514528438 0.838707283851 7 12 5 3 1302 0213 1302 0132 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 -1 0 1 0 0 -11 11 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954008079223 0.871361177853 12 4 12 11 0321 0132 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592129755033 0.935782476632 6 10 8 8 0132 1302 3120 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.443410759406 0.809720184267 10 10 9 6 0321 3201 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391412530027 0.898023308279 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_9']), '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_0101_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_10'], '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' : d['c_1001_3'], '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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0011_0']), 'c_0101_8' : negation(d['c_0011_3']), '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_3'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_12, c_0011_3, c_0011_9, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 346844957/282909*c_1001_3^10 + 45520386/8573*c_1001_3^9 + 628240818/94303*c_1001_3^8 + 92666481/94303*c_1001_3^7 + 2174626309/282909*c_1001_3^6 + 2436662252/94303*c_1001_3^5 + 2073916615/282909*c_1001_3^4 - 1965847771/94303*c_1001_3^3 + 130755725/282909*c_1001_3^2 + 4200808451/282909*c_1001_3 + 1045300463/282909, c_0011_0 - 1, c_0011_10 - 7524/8573*c_1001_3^10 - 29741/8573*c_1001_3^9 - 26431/8573*c_1001_3^8 + 15096/8573*c_1001_3^7 - 43860/8573*c_1001_3^6 - 143211/8573*c_1001_3^5 + 34753/8573*c_1001_3^4 + 166036/8573*c_1001_3^3 - 73287/8573*c_1001_3^2 - 94552/8573*c_1001_3 + 34687/8573, c_0011_11 + 6593/8573*c_1001_3^10 + 25563/8573*c_1001_3^9 + 24178/8573*c_1001_3^8 - 5954/8573*c_1001_3^7 + 44408/8573*c_1001_3^6 + 121139/8573*c_1001_3^5 - 13415/8573*c_1001_3^4 - 105657/8573*c_1001_3^3 + 60127/8573*c_1001_3^2 + 65360/8573*c_1001_3 - 14786/8573, c_0011_12 + 5483/8573*c_1001_3^10 + 20020/8573*c_1001_3^9 + 14871/8573*c_1001_3^8 - 10331/8573*c_1001_3^7 + 39168/8573*c_1001_3^6 + 93838/8573*c_1001_3^5 - 38731/8573*c_1001_3^4 - 88901/8573*c_1001_3^3 + 73701/8573*c_1001_3^2 + 42250/8573*c_1001_3 - 25673/8573, c_0011_3 + 8211/8573*c_1001_3^10 + 29951/8573*c_1001_3^9 + 22900/8573*c_1001_3^8 - 15654/8573*c_1001_3^7 + 52664/8573*c_1001_3^6 + 134783/8573*c_1001_3^5 - 52635/8573*c_1001_3^4 - 138222/8573*c_1001_3^3 + 87639/8573*c_1001_3^2 + 64600/8573*c_1001_3 - 27972/8573, c_0011_9 + 3406/8573*c_1001_3^10 + 12946/8573*c_1001_3^9 + 10609/8573*c_1001_3^8 - 5986/8573*c_1001_3^7 + 21099/8573*c_1001_3^6 + 57111/8573*c_1001_3^5 - 19572/8573*c_1001_3^4 - 59046/8573*c_1001_3^3 + 30161/8573*c_1001_3^2 + 24649/8573*c_1001_3 - 5705/8573, c_0101_1 + 122/8573*c_1001_3^10 + 1984/8573*c_1001_3^9 + 2892/8573*c_1001_3^8 - 4292/8573*c_1001_3^7 - 4676/8573*c_1001_3^6 + 15250/8573*c_1001_3^5 - 1728/8573*c_1001_3^4 - 39810/8573*c_1001_3^3 + 7977/8573*c_1001_3^2 + 29572/8573*c_1001_3 - 13308/8573, c_0101_2 + 61/8573*c_1001_3^10 + 992/8573*c_1001_3^9 + 1446/8573*c_1001_3^8 - 2146/8573*c_1001_3^7 - 2338/8573*c_1001_3^6 + 7625/8573*c_1001_3^5 - 864/8573*c_1001_3^4 - 19905/8573*c_1001_3^3 + 8275/8573*c_1001_3^2 + 14786/8573*c_1001_3 - 15227/8573, c_0101_3 + 8211/8573*c_1001_3^10 + 29951/8573*c_1001_3^9 + 22900/8573*c_1001_3^8 - 15654/8573*c_1001_3^7 + 52664/8573*c_1001_3^6 + 134783/8573*c_1001_3^5 - 52635/8573*c_1001_3^4 - 138222/8573*c_1001_3^3 + 87639/8573*c_1001_3^2 + 73173/8573*c_1001_3 - 27972/8573, c_0101_5 - 6654/8573*c_1001_3^10 - 26555/8573*c_1001_3^9 - 25624/8573*c_1001_3^8 + 8100/8573*c_1001_3^7 - 42070/8573*c_1001_3^6 - 128764/8573*c_1001_3^5 + 14279/8573*c_1001_3^4 + 125562/8573*c_1001_3^3 - 59829/8573*c_1001_3^2 - 80146/8573*c_1001_3 + 21440/8573, c_1001_0 - 5705/8573*c_1001_3^10 - 19414/8573*c_1001_3^9 - 9874/8573*c_1001_3^8 + 16314/8573*c_1001_3^7 - 40216/8573*c_1001_3^6 - 87296/8573*c_1001_3^5 + 62816/8573*c_1001_3^4 + 88823/8573*c_1001_3^3 - 93276/8573*c_1001_3^2 - 38299/8573*c_1001_3 + 30354/8573, c_1001_10 - 7463/8573*c_1001_3^10 - 28749/8573*c_1001_3^9 - 24985/8573*c_1001_3^8 + 12950/8573*c_1001_3^7 - 46198/8573*c_1001_3^6 - 135586/8573*c_1001_3^5 + 33889/8573*c_1001_3^4 + 146131/8573*c_1001_3^3 - 73585/8573*c_1001_3^2 - 88339/8573*c_1001_3 + 28033/8573, c_1001_3^11 + 4*c_1001_3^10 + 4*c_1001_3^9 - c_1001_3^8 + 6*c_1001_3^7 + 19*c_1001_3^6 - c_1001_3^5 - 19*c_1001_3^4 + 6*c_1001_3^3 + 12*c_1001_3^2 - c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.060 Total time: 5.269 seconds, Total memory usage: 83.00MB