Magma V2.19-8 Wed Aug 21 2013 01:08:31 on localhost [Seed = 1309169413] Type ? for help. Type -D to quit. Loading file "L14n40977__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n40977 geometric_solution 12.00595117 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410012400459 0.542871262878 0 3 6 5 0132 1023 0132 0132 2 2 0 1 0 0 0 0 0 0 0 0 -1 2 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 -1 0 1 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 0.148589046216 0.896398210200 5 0 8 7 0132 0132 0132 0132 2 2 0 1 0 0 0 0 1 0 -1 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 -1 1 0 4 0 -4 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.114098455685 1.172965719109 1 7 9 0 1023 0132 0132 0132 2 2 0 1 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.114098455685 1.172965719109 5 9 0 10 3012 0132 0132 0132 2 2 2 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 0 0 0 0 0 0 1 -1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375634167534 0.720316436676 2 7 1 4 0132 1023 0132 1230 2 2 1 0 0 0 0 0 -1 0 0 1 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 0 0 0 -4 0 0 4 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148589046216 0.896398210200 7 8 10 1 3120 3120 1302 0132 2 2 1 2 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 1 -1 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430820063714 1.091459986785 5 3 2 6 1023 0132 0132 3120 2 2 1 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 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410012400459 0.542871262878 9 6 11 2 0321 3120 0132 0132 2 2 1 2 0 0 0 0 0 0 -1 1 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 0 0 -4 4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085632363699 0.548365332451 8 4 12 3 0321 0132 0132 0132 2 2 1 2 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 -1 1 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085632363699 0.548365332451 6 11 4 12 2031 3201 0132 0132 2 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 -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 0.464636363519 1.002815025726 12 12 10 8 1230 3012 2310 0132 2 2 2 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 -3 0 -1 4 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125968820874 1.434188516258 11 11 10 9 1230 3012 0132 0132 2 2 2 2 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 -1 0 0 1 1 3 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.125968820874 1.434188516258 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(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'], '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' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1100_0'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 13737292075/253721192*c_1100_0^7 + 18059372245/253721192*c_1100_0^6 - 10824059/7462388*c_1100_0^5 - 25403550085/1014884768*c_1100_0^4 - 12528648597/2029769536*c_1100_0^3 + 169133210411/8119078144*c_1100_0^2 - 27769836715/1014884768*c_1100_0 + 382603449307/32476312576, c_0011_0 - 1, c_0011_10 + c_1100_0, c_0011_11 - 304576/109741*c_1100_0^7 + 179840/109741*c_1100_0^6 + 127888/109741*c_1100_0^5 + 187552/109741*c_1100_0^4 - 53640/109741*c_1100_0^3 - 156712/109741*c_1100_0^2 - 143979/109741*c_1100_0 + 120688/109741, c_0011_4 + 329664/109741*c_1100_0^7 - 59616/109741*c_1100_0^6 - 98944/109741*c_1100_0^5 - 82168/109741*c_1100_0^4 + 13876/109741*c_1100_0^3 + 158644/109741*c_1100_0^2 + 159090/109741*c_1100_0 - 99291/109741, c_0011_6 + 393472/109741*c_1100_0^7 - 228640/109741*c_1100_0^6 - 29808/109741*c_1100_0^5 - 147840/109741*c_1100_0^4 + 106468/109741*c_1100_0^3 + 93010/109741*c_1100_0^2 + 202282/109741*c_1100_0 - 169449/109741, c_0011_8 + 329664/109741*c_1100_0^7 - 59616/109741*c_1100_0^6 - 98944/109741*c_1100_0^5 - 82168/109741*c_1100_0^4 + 13876/109741*c_1100_0^3 + 158644/109741*c_1100_0^2 + 159090/109741*c_1100_0 - 99291/109741, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 329664/109741*c_1100_0^7 + 59616/109741*c_1100_0^6 + 98944/109741*c_1100_0^5 + 82168/109741*c_1100_0^4 - 13876/109741*c_1100_0^3 - 158644/109741*c_1100_0^2 - 159090/109741*c_1100_0 - 10450/109741, c_0101_11 + 246848/109741*c_1100_0^7 - 259392/109741*c_1100_0^6 - 60112/109741*c_1100_0^5 - 76184/109741*c_1100_0^4 + 39876/109741*c_1100_0^3 + 73880/109741*c_1100_0^2 + 76174/109741*c_1100_0 - 163764/109741, c_0101_12 - 246848/109741*c_1100_0^7 + 259392/109741*c_1100_0^6 + 60112/109741*c_1100_0^5 + 76184/109741*c_1100_0^4 - 39876/109741*c_1100_0^3 - 73880/109741*c_1100_0^2 - 76174/109741*c_1100_0 + 163764/109741, c_1001_0 - 393472/109741*c_1100_0^7 + 228640/109741*c_1100_0^6 + 29808/109741*c_1100_0^5 + 147840/109741*c_1100_0^4 - 106468/109741*c_1100_0^3 - 93010/109741*c_1100_0^2 - 312023/109741*c_1100_0 + 169449/109741, c_1100_0^8 - c_1100_0^7 - 1/4*c_1100_0^5 + 3/8*c_1100_0^4 + 7/32*c_1100_0^3 + 5/16*c_1100_0^2 - 81/128*c_1100_0 + 17/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB