Magma V2.19-8 Tue Aug 20 2013 20:29:11 on localhost [Seed = 3347160143] Type ? for help. Type -D to quit. Loading file "11_413__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_413 geometric_solution 14.36817488 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 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 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 0.561815612566 0.541150734405 0 5 7 6 0132 0132 0132 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 -1 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 0 0 0 0 0.903753081140 1.116120650585 7 0 6 8 1230 0132 1230 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 0.655291233181 0.770255871916 9 10 11 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 1 0 -1 0 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.040306648499 0.964537201509 9 7 0 6 3120 1230 0132 1230 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 -2 2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655291233181 0.770255871916 9 1 12 8 1302 0132 0132 2310 0 0 0 0 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 1 -1 0 -2 0 2 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 0.483095404593 0.479256489056 4 11 1 2 3012 3012 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359254151550 0.753158637234 9 2 4 1 2103 3012 3012 0132 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 1 -1 -1 0 1 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 0.359254151550 0.753158637234 5 10 2 11 3201 0213 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 -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 0.768025603286 0.708636145805 3 5 7 4 0132 2031 2103 3120 0 0 0 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 0 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472574610726 0.758533878113 13 3 8 14 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 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 0.192371391620 0.964617087113 6 12 8 3 1230 3120 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 -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 0.296698215177 0.648917254844 13 11 14 5 1230 3120 1230 0132 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 0 0 -1 1 0 0 2 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.510269190020 0.609456344926 10 12 14 14 0132 3012 0213 3120 0 0 0 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 0 -1 1 0 0 -1 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297612196336 0.491587778007 13 13 10 12 3120 0213 0132 3012 0 0 0 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 -1 0 -1 0 0 1 1 1 0 -2 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297612196336 0.491587778007 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0011_12']), 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_13' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_1001_11']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : negation(d['c_0011_14']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_12']), 'c_1010_14' : negation(d['c_0011_14']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : 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_8'], 'c_0101_14' : d['c_0011_14'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_6'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : d['c_0110_6'], 'c_1100_14' : d['c_1001_11'], 'c_1100_9' : negation(d['c_0101_1']), 'c_1100_11' : d['c_0110_6'], 'c_1100_10' : d['c_1001_11'], 'c_1100_13' : negation(d['c_0011_14']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0101_11']), 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_1001_11'], '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_0011_8'], '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_3_11' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0011_14'], 'c_0110_13' : d['c_0011_8'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0110_14' : d['c_0011_8'], 'c_1010_4' : d['c_0101_0'], 'c_0101_12' : d['c_0011_14'], 's_0_8' : d['1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_7'], 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_11'], '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_0011_7'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_0101_13' : d['c_0011_14']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_14, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0110_6, c_1001_0, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 369783/448*c_1001_2^9 - 247511/224*c_1001_2^8 - 109681/32*c_1001_2^7 - 23155/448*c_1001_2^6 - 709469/224*c_1001_2^5 - 1019175/224*c_1001_2^4 - 246763/112*c_1001_2^3 + 555731/448*c_1001_2^2 - 183685/56*c_1001_2 - 331589/448, c_0011_0 - 1, c_0011_10 + 1/8*c_1001_2^9 + 3/14*c_1001_2^8 + c_1001_2^7 + 7/8*c_1001_2^6 + 71/28*c_1001_2^5 + 43/28*c_1001_2^4 + 17/7*c_1001_2^3 + 97/56*c_1001_2^2 + 27/28*c_1001_2 + 3/56, c_0011_11 - 5/56*c_1001_2^9 - 1/2*c_1001_2^8 - c_1001_2^7 - 107/56*c_1001_2^6 - 29/28*c_1001_2^5 - 61/28*c_1001_2^4 - 13/7*c_1001_2^3 - 19/56*c_1001_2^2 - 5/28*c_1001_2 + 1/8, c_0011_12 + 11/14*c_1001_2^9 + c_1001_2^8 + 3*c_1001_2^7 - 11/14*c_1001_2^6 + 12/7*c_1001_2^5 + 18/7*c_1001_2^4 + 8/7*c_1001_2^3 - 45/14*c_1001_2^2 + 11/7*c_1001_2 - 1/2, c_0011_14 - 37/56*c_1001_2^9 - 13/14*c_1001_2^8 - 3*c_1001_2^7 - 19/56*c_1001_2^6 - 85/28*c_1001_2^5 - 81/28*c_1001_2^4 - 2*c_1001_2^3 + 11/8*c_1001_2^2 - 7/4*c_1001_2 + 15/56, c_0011_6 - 15/56*c_1001_2^9 - 13/14*c_1001_2^8 - 2*c_1001_2^7 - 153/56*c_1001_2^6 - 47/28*c_1001_2^5 - 115/28*c_1001_2^4 - 24/7*c_1001_2^3 - 97/56*c_1001_2^2 - 27/28*c_1001_2 - 83/56, c_0011_7 + 15/56*c_1001_2^9 + 13/14*c_1001_2^8 + 2*c_1001_2^7 + 153/56*c_1001_2^6 + 47/28*c_1001_2^5 + 115/28*c_1001_2^4 + 24/7*c_1001_2^3 + 97/56*c_1001_2^2 + 27/28*c_1001_2 + 83/56, c_0011_8 + 11/14*c_1001_2^9 + c_1001_2^8 + 3*c_1001_2^7 - 11/14*c_1001_2^6 + 12/7*c_1001_2^5 + 18/7*c_1001_2^4 + 8/7*c_1001_2^3 - 45/14*c_1001_2^2 + 11/7*c_1001_2 - 1/2, c_0101_0 + 1, c_0101_1 + 7/8*c_1001_2^9 + 11/14*c_1001_2^8 + 3*c_1001_2^7 - 15/8*c_1001_2^6 + 69/28*c_1001_2^5 + 69/28*c_1001_2^4 - 3/7*c_1001_2^3 - 153/56*c_1001_2^2 + 85/28*c_1001_2 - 59/56, c_0101_11 + 3/14*c_1001_2^9 - 1/7*c_1001_2^8 - 31/14*c_1001_2^6 - 4/7*c_1001_2^5 - 3/7*c_1001_2^4 - 17/7*c_1001_2^3 - 33/14*c_1001_2^2 + 9/7*c_1001_2 - 11/14, c_0110_6 + 3/14*c_1001_2^9 - 1/7*c_1001_2^8 - 31/14*c_1001_2^6 - 4/7*c_1001_2^5 - 3/7*c_1001_2^4 - 17/7*c_1001_2^3 - 33/14*c_1001_2^2 + 9/7*c_1001_2 - 11/14, c_1001_0 - 5/56*c_1001_2^9 - 1/2*c_1001_2^8 - c_1001_2^7 - 107/56*c_1001_2^6 - 29/28*c_1001_2^5 - 61/28*c_1001_2^4 - 13/7*c_1001_2^3 - 19/56*c_1001_2^2 - 5/28*c_1001_2 + 1/8, c_1001_11 + 1/8*c_1001_2^9 + 3/14*c_1001_2^8 + c_1001_2^7 + 7/8*c_1001_2^6 + 71/28*c_1001_2^5 + 43/28*c_1001_2^4 + 17/7*c_1001_2^3 + 97/56*c_1001_2^2 + 27/28*c_1001_2 + 3/56, c_1001_2^10 + c_1001_2^9 + 4*c_1001_2^8 - c_1001_2^7 + 5*c_1001_2^6 + 4*c_1001_2^5 + 2*c_1001_2^4 - c_1001_2^3 + 5*c_1001_2^2 - c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 35.180 Total time: 35.390 seconds, Total memory usage: 327.50MB