Magma V2.19-8 Wed Aug 21 2013 00:51:37 on localhost [Seed = 3398229936] Type ? for help. Type -D to quit. Loading file "L11n183__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n183 geometric_solution 12.23225928 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 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 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 0.442259926046 0.643843757329 0 4 4 5 0132 0132 1302 0132 0 1 1 1 0 0 1 -1 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 1 0 -1 1 0 -1 0 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176650399717 0.595067910931 0 0 7 6 3012 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 0 1 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 0.768651226364 0.887315286760 8 9 10 0 0132 0132 0132 0132 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 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 0.566496376238 0.779420329749 1 1 8 5 2031 0132 0213 2031 0 0 1 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 -1 1 0 0 0 0 0 -3 2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541538351822 1.544382665766 8 4 1 9 2103 1302 0132 2310 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 0 0 0 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 1.255695379008 0.965590978991 11 9 2 10 0132 0213 0132 3120 1 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 0 0 0 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 0.515679840743 0.597152838191 11 10 12 2 2103 0132 0132 0132 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 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215303029125 0.803429146663 3 4 5 12 0132 0213 2103 3120 0 1 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 -1 0 1 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 0.399857538291 1.676137253407 5 3 6 12 3201 0132 0213 0321 1 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698540495290 0.696996655887 6 7 11 3 3120 0132 1230 0132 1 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 0 0 0 0 0 0 0 1 0 0 -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 0.711651265937 1.601517169800 6 12 7 10 0132 0213 2103 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677773641809 0.585725676847 8 9 11 7 3120 0321 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985477667036 1.011226825363 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_0011_5'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : d['c_1001_3'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_3'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : 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_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_0101_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : d['c_0101_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_5'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_12']), '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_10']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : d['c_0101_6'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0011_11'])})} 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_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - c_1001_0^3 + 1/2*c_1001_0^2 - 3/2*c_1001_0 - 1, c_0011_0 - 1, c_0011_10 - c_1001_0^2 + 1/2*c_1001_0 - 3/2, c_0011_11 + 1/2*c_1001_0^3 + 1/4*c_1001_0^2 + 3/2*c_1001_0 + 3/4, c_0011_12 - c_1001_0^3 + 1/2*c_1001_0^2 - 3/2*c_1001_0 - 1, c_0011_3 - c_1001_0^3 + 1/2*c_1001_0^2 - 3/2*c_1001_0, c_0011_5 - 1, c_0101_0 + c_1001_0^3 - 1/2*c_1001_0^2 + 3/2*c_1001_0 + 1, c_0101_10 + c_1001_0^3 - 1/2*c_1001_0^2 + 5/2*c_1001_0 + 1, c_0101_11 - 3/2*c_1001_0^3 + 5/4*c_1001_0^2 - 7/2*c_1001_0 - 1/4, c_0101_2 - c_1001_0^3 + 1/2*c_1001_0^2 - 5/2*c_1001_0, c_0101_6 + 1/2*c_1001_0^3 - 3/4*c_1001_0^2 + c_1001_0 - 3/4, c_1001_0^4 - 1/2*c_1001_0^3 + 5/2*c_1001_0^2 + 1/2*c_1001_0 + 1/2, c_1001_3 - 1 ], 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_5, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3531986951/2725456300*c_1001_3^11 - 643598317/136272815*c_1001_3^10 - 22541020111/2725456300*c_1001_3^9 - 51400808/4232075*c_1001_3^8 - 2103650266/97337725*c_1001_3^7 - 5332030673/194675450*c_1001_3^6 + 1559531553/1362728150*c_1001_3^5 + 82419366781/1362728150*c_1001_3^4 + 60738335933/545091260*c_1001_3^3 + 305726138863/2725456300*c_1001_3^2 + 182563569207/2725456300*c_1001_3 + 2710406627/109018252, c_0011_0 - 1, c_0011_10 + 244182/846415*c_1001_3^11 + 187046/169283*c_1001_3^10 + 1524142/846415*c_1001_3^9 + 2047834/846415*c_1001_3^8 + 3878411/846415*c_1001_3^7 + 5049239/846415*c_1001_3^6 - 1221172/846415*c_1001_3^5 - 13078479/846415*c_1001_3^4 - 3956375/169283*c_1001_3^3 - 17469706/846415*c_1001_3^2 - 9265164/846415*c_1001_3 - 607494/169283, c_0011_11 - 572667/846415*c_1001_3^11 - 402102/169283*c_1001_3^10 - 3156512/846415*c_1001_3^9 - 4434614/846415*c_1001_3^8 - 8496651/846415*c_1001_3^7 - 10256354/846415*c_1001_3^6 + 3844137/846415*c_1001_3^5 + 27128024/846415*c_1001_3^4 + 8305723/169283*c_1001_3^3 + 37294311/846415*c_1001_3^2 + 19740829/846415*c_1001_3 + 1386039/169283, c_0011_12 - 1109724/846415*c_1001_3^11 - 783511/169283*c_1001_3^10 - 6327579/846415*c_1001_3^9 - 9213013/846415*c_1001_3^8 - 17087722/846415*c_1001_3^7 - 20824243/846415*c_1001_3^6 + 5313109/846415*c_1001_3^5 + 51048578/846415*c_1001_3^4 + 16819205/169283*c_1001_3^3 + 80332932/846415*c_1001_3^2 + 44839368/846415*c_1001_3 + 3596445/169283, c_0011_3 - 1109724/846415*c_1001_3^11 - 783511/169283*c_1001_3^10 - 6327579/846415*c_1001_3^9 - 9213013/846415*c_1001_3^8 - 17087722/846415*c_1001_3^7 - 20824243/846415*c_1001_3^6 + 5313109/846415*c_1001_3^5 + 51048578/846415*c_1001_3^4 + 16819205/169283*c_1001_3^3 + 80332932/846415*c_1001_3^2 + 44839368/846415*c_1001_3 + 3765728/169283, c_0011_5 - 1, c_0101_0 + 1109724/846415*c_1001_3^11 + 783511/169283*c_1001_3^10 + 6327579/846415*c_1001_3^9 + 9213013/846415*c_1001_3^8 + 17087722/846415*c_1001_3^7 + 20824243/846415*c_1001_3^6 - 5313109/846415*c_1001_3^5 - 51048578/846415*c_1001_3^4 - 16819205/169283*c_1001_3^3 - 80332932/846415*c_1001_3^2 - 44839368/846415*c_1001_3 - 3596445/169283, c_0101_10 + 828408/846415*c_1001_3^11 + 614362/169283*c_1001_3^10 + 5075463/846415*c_1001_3^9 + 7260126/846415*c_1001_3^8 + 13419724/846415*c_1001_3^7 + 16926606/846415*c_1001_3^6 - 3137243/846415*c_1001_3^5 - 40409076/846415*c_1001_3^4 - 13474322/169283*c_1001_3^3 - 65179064/846415*c_1001_3^2 - 37201811/846415*c_1001_3 - 2908600/169283, c_0101_11 - 36202/169283*c_1001_3^11 - 147589/169283*c_1001_3^10 - 273759/169283*c_1001_3^9 - 376691/169283*c_1001_3^8 - 643845/169283*c_1001_3^7 - 915900/169283*c_1001_3^6 - 67168/169283*c_1001_3^5 + 2061788/169283*c_1001_3^4 + 3706963/169283*c_1001_3^3 + 3435818/169283*c_1001_3^2 + 1901082/169283*c_1001_3 + 690896/169283, c_0101_2 + 554124/846415*c_1001_3^11 + 416441/169283*c_1001_3^10 + 3528399/846415*c_1001_3^9 + 5135813/846415*c_1001_3^8 + 9263167/846415*c_1001_3^7 + 11931928/846415*c_1001_3^6 - 1151739/846415*c_1001_3^5 - 27022293/846415*c_1001_3^4 - 9451526/169283*c_1001_3^3 - 46963707/846415*c_1001_3^2 - 27887878/846415*c_1001_3 - 2365812/169283, c_0101_6 - 995513/846415*c_1001_3^11 - 738825/169283*c_1001_3^10 - 6269178/846415*c_1001_3^9 - 9109181/846415*c_1001_3^8 - 16442644/846415*c_1001_3^7 - 20935006/846415*c_1001_3^6 + 2240823/846415*c_1001_3^5 + 48120711/846415*c_1001_3^4 + 16844480/169283*c_1001_3^3 + 83187174/846415*c_1001_3^2 + 48228131/846415*c_1001_3 + 3813650/169283, c_1001_0 - 1151222/846415*c_1001_3^11 - 828837/169283*c_1001_3^10 - 6906697/846415*c_1001_3^9 - 10123864/846415*c_1001_3^8 - 18415716/846415*c_1001_3^7 - 22856544/846415*c_1001_3^6 + 3710922/846415*c_1001_3^5 + 53594614/846415*c_1001_3^4 + 18550132/169283*c_1001_3^3 + 90713726/846415*c_1001_3^2 + 52071294/846415*c_1001_3 + 4209861/169283, c_1001_3^12 + 5*c_1001_3^11 + 11*c_1001_3^10 + 17*c_1001_3^9 + 28*c_1001_3^8 + 42*c_1001_3^7 + 24*c_1001_3^6 - 52*c_1001_3^5 - 145*c_1001_3^4 - 188*c_1001_3^3 - 152*c_1001_3^2 - 80*c_1001_3 - 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB