Magma V2.19-8 Tue Aug 20 2013 18:00:08 on localhost [Seed = 1326381965] Type ? for help. Type -D to quit. Loading file "10^3_50__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_50 geometric_solution 13.25063959 oriented_manifold CS_known 0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 2 3 0132 0132 1302 0132 1 0 0 2 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 0 0 -1 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 0.611306464616 0.729049996273 0 4 5 4 0132 0132 0132 1230 1 0 2 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569433772889 1.068054012249 0 0 5 4 2031 0132 0321 0132 1 1 2 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 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324679567697 0.805393672653 6 4 0 7 0132 1302 0132 0132 1 0 1 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 -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 0.878726716528 0.803820243667 1 1 2 3 3012 0132 0132 2031 1 1 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 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 0.324679567697 0.805393672653 6 7 2 1 3120 3120 0321 0132 1 0 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 1 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 0.380431232615 0.566754041046 3 8 9 5 0132 0132 0132 3120 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626070562243 0.833546319546 8 5 3 10 0132 3120 0132 0132 1 0 0 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 1 0 -1 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 0.626070562243 0.833546319546 7 6 10 11 0132 0132 0213 0132 1 0 1 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 0 0 0 0 -1 0 1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.258279545847 0.668568406733 11 12 10 6 0132 0132 0132 0132 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.881128979692 0.580802996811 13 8 7 9 0132 0213 0132 0132 1 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 0 -1 1 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 0.552997078023 0.394251074015 9 12 8 13 0132 0213 0132 0132 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 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 0.475184447564 0.366471683558 13 9 11 13 1230 0132 0213 0213 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 0.802697148064 0.605343799739 10 12 11 12 0132 3012 0132 0213 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 -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 0 0 0.486723438046 1.493313515328 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_13' : negation(d['c_0011_11']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_13' : negation(d['c_0011_11']), 'c_1010_12' : d['c_1001_9'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1001_9'], 's_3_11' : d['1'], 's_0_11' : 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_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' : negation(d['1']), 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_9'], 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_5'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_9'], 'c_1100_10' : d['c_0101_2'], 'c_1100_13' : d['c_1001_9'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_3'], 's_0_13' : d['1'], 'c_1010_3' : negation(d['c_1001_5']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_11'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_0011_11']), '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : 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_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_13'], 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : d['c_0011_10'], 'c_0110_12' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_3'], 'c_0101_12' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_13'], 'c_0101_8' : d['c_0011_10'], '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_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0101_1, c_0101_11, c_0101_13, c_0101_2, c_0101_4, c_0110_4, c_1001_11, c_1001_5, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 316547719099262/178733786023*c_1001_9^8 + 1779961231252099/357467572046*c_1001_9^7 - 543897854423932/178733786023*c_1001_9^6 - 2307496003087824/178733786023*c_1001_9^5 + 621046882817905/357467572046*c_1001_9^4 + 1693438412876746/178733786023*c_1001_9^3 + 1045587624508107/357467572046*c_1001_9^2 - 992299106209917/178733786023*c_1001_9 - 415301074223757/357467572046, c_0011_0 - 1, c_0011_10 + 25213307/10978509*c_1001_9^8 + 88331902/10978509*c_1001_9^7 + 31692845/10978509*c_1001_9^6 - 34997728/3659503*c_1001_9^5 - 14439466/10978509*c_1001_9^4 + 51629039/10978509*c_1001_9^3 + 37001252/10978509*c_1001_9^2 - 17514430/10978509*c_1001_9 + 16606075/10978509, c_0011_11 + 24485818/10978509*c_1001_9^8 + 82181633/10978509*c_1001_9^7 + 23787628/10978509*c_1001_9^6 - 31572011/3659503*c_1001_9^5 - 4649711/10978509*c_1001_9^4 + 38104405/10978509*c_1001_9^3 + 33606697/10978509*c_1001_9^2 - 9838508/10978509*c_1001_9 + 17088683/10978509, c_0011_3 - 27866734/10978509*c_1001_9^8 - 89646098/10978509*c_1001_9^7 - 9518824/10978509*c_1001_9^6 + 39803630/3659503*c_1001_9^5 - 16029418/10978509*c_1001_9^4 - 53320648/10978509*c_1001_9^3 - 33410518/10978509*c_1001_9^2 + 30529802/10978509*c_1001_9 - 20143715/10978509, c_0011_5 + 26425609/10978509*c_1001_9^8 + 92470697/10978509*c_1001_9^7 + 31650148/10978509*c_1001_9^6 - 38832978/3659503*c_1001_9^5 - 24131996/10978509*c_1001_9^4 + 47698732/10978509*c_1001_9^3 + 38227495/10978509*c_1001_9^2 - 9566183/10978509*c_1001_9 + 19502408/10978509, c_0101_1 - 1, c_0101_11 + 26425609/10978509*c_1001_9^8 + 92470697/10978509*c_1001_9^7 + 31650148/10978509*c_1001_9^6 - 38832978/3659503*c_1001_9^5 - 24131996/10978509*c_1001_9^4 + 47698732/10978509*c_1001_9^3 + 38227495/10978509*c_1001_9^2 - 9566183/10978509*c_1001_9 + 19502408/10978509, c_0101_13 + 29424794/10978509*c_1001_9^8 + 99317512/10978509*c_1001_9^7 + 27759605/10978509*c_1001_9^6 - 39551530/3659503*c_1001_9^5 - 7424263/10978509*c_1001_9^4 + 45284918/10978509*c_1001_9^3 + 31921646/10978509*c_1001_9^2 - 17437696/10978509*c_1001_9 + 19079164/10978509, c_0101_2 + 27866734/10978509*c_1001_9^8 + 89646098/10978509*c_1001_9^7 + 9518824/10978509*c_1001_9^6 - 39803630/3659503*c_1001_9^5 + 16029418/10978509*c_1001_9^4 + 53320648/10978509*c_1001_9^3 + 33410518/10978509*c_1001_9^2 - 30529802/10978509*c_1001_9 + 20143715/10978509, c_0101_4 - 1, c_0110_4 + 27866734/10978509*c_1001_9^8 + 89646098/10978509*c_1001_9^7 + 9518824/10978509*c_1001_9^6 - 39803630/3659503*c_1001_9^5 + 16029418/10978509*c_1001_9^4 + 53320648/10978509*c_1001_9^3 + 33410518/10978509*c_1001_9^2 - 30529802/10978509*c_1001_9 + 31122224/10978509, c_1001_11 - 25213307/10978509*c_1001_9^8 - 88331902/10978509*c_1001_9^7 - 31692845/10978509*c_1001_9^6 + 34997728/3659503*c_1001_9^5 + 14439466/10978509*c_1001_9^4 - 51629039/10978509*c_1001_9^3 - 37001252/10978509*c_1001_9^2 + 17514430/10978509*c_1001_9 - 16606075/10978509, c_1001_5 + 1, c_1001_9^9 + 25/7*c_1001_9^8 + 11/7*c_1001_9^7 - 4*c_1001_9^6 - 8/7*c_1001_9^5 + 12/7*c_1001_9^4 + 12/7*c_1001_9^3 - 3/7*c_1001_9^2 + 4/7*c_1001_9 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB