Magma V2.19-8 Wed Aug 21 2013 01:08:09 on localhost [Seed = 408813863] Type ? for help. Type -D to quit. Loading file "L14n38610__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38610 geometric_solution 11.74046324 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764596187480 0.867238399833 0 5 6 2 0132 0132 0132 0132 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 0 0 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 0 0 0 0 0 0 0 0 0 0 0.542242129862 0.380647357777 3 0 1 4 0132 0132 0132 2310 1 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 0 0 0 1 4 -5 -3 0 0 3 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764596187480 0.867238399833 2 7 8 0 0132 0132 0132 0132 1 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 3 0 -4 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 0.542242129862 0.380647357777 2 9 0 10 3201 0132 0132 0132 1 0 1 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 -1 1 1 0 -1 0 5 -5 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330210548423 0.755365408388 11 1 7 10 0132 0132 0321 3120 1 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 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.983261477404 0.688096984052 8 10 12 1 0213 3120 0132 0132 1 0 0 1 0 0 1 -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 0 4 -4 0 0 0 0 4 -4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751684762020 0.818328185386 11 3 5 9 2310 0132 0321 0213 1 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 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.983261477404 0.688096984052 6 9 12 3 0213 0213 2310 0132 1 0 0 1 0 0 0 0 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 0 0 0 -4 0 0 4 0 0 0 0 -1 5 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751684762020 0.818328185386 12 4 8 7 2310 0132 0213 0213 1 0 0 1 0 0 0 0 0 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 0 0 0 -4 0 4 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.035274601297 0.654072169597 5 6 4 12 3120 3120 0132 2310 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 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 0 0 0 0 -0.035274601297 0.654072169597 5 11 7 11 0132 1302 3201 2031 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674572138105 0.456529425648 10 8 9 6 3201 3201 3201 0132 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 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764563566508 2.037060385984 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0101_10']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : negation(d['c_0011_0']), 'c_1010_10' : negation(d['c_0011_6']), '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' : negation(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' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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_1100_9' : d['c_1001_3'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_12'], 'c_1100_3' : d['c_0011_12'], 'c_1100_2' : d['c_0011_4'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_0'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_10']), 'c_1010_2' : negation(d['c_0101_10']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_4'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], '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' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_11']), '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_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_1001_10, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 13020672209/84151227760*c_1001_3^9 + 7820030357/42075613880*c_1001_3^8 - 7495604273/8415122776*c_1001_3^7 + 78332215017/84151227760*c_1001_3^6 + 534113614939/84151227760*c_1001_3^5 + 795902061113/84151227760*c_1001_3^4 + 190174012517/10518903470*c_1001_3^3 + 923258080567/84151227760*c_1001_3^2 + 111357412447/21037806940*c_1001_3 + 147767802951/84151227760, c_0011_0 - 1, c_0011_10 + c_1001_3, c_0011_12 - 7129535/237045712*c_1001_3^9 - 2482203/29630714*c_1001_3^8 + 9075525/59261428*c_1001_3^7 + 41304205/237045712*c_1001_3^6 - 402528347/237045712*c_1001_3^5 - 911591269/237045712*c_1001_3^4 - 539024099/118522856*c_1001_3^3 - 921163879/237045712*c_1001_3^2 + 9077181/14815357*c_1001_3 + 15732349/3338672, c_0011_4 - 7129535/237045712*c_1001_3^9 - 2482203/29630714*c_1001_3^8 + 9075525/59261428*c_1001_3^7 + 41304205/237045712*c_1001_3^6 - 402528347/237045712*c_1001_3^5 - 911591269/237045712*c_1001_3^4 - 539024099/118522856*c_1001_3^3 - 921163879/237045712*c_1001_3^2 + 9077181/14815357*c_1001_3 + 15732349/3338672, c_0011_6 - 9233251/237045712*c_1001_3^9 - 2786401/29630714*c_1001_3^8 + 11590923/59261428*c_1001_3^7 + 39105273/237045712*c_1001_3^6 - 483598471/237045712*c_1001_3^5 - 1108275545/237045712*c_1001_3^4 - 621563023/118522856*c_1001_3^3 - 870451275/237045712*c_1001_3^2 + 23231221/14815357*c_1001_3 + 17919297/3338672, c_0101_0 + 38241081/237045712*c_1001_3^9 + 5671327/14815357*c_1001_3^8 - 50997577/59261428*c_1001_3^7 - 136301459/237045712*c_1001_3^6 + 2042229261/237045712*c_1001_3^5 + 4346025259/237045712*c_1001_3^4 + 2467084037/118522856*c_1001_3^3 + 3608188849/237045712*c_1001_3^2 - 206392231/29630714*c_1001_3 - 69705779/3338672, c_0101_1 - 15555773/118522856*c_1001_3^9 - 8860451/29630714*c_1001_3^8 + 10480513/14815357*c_1001_3^7 + 47498627/118522856*c_1001_3^6 - 819850457/118522856*c_1001_3^5 - 1717216995/118522856*c_1001_3^4 - 964029969/59261428*c_1001_3^3 - 1343512485/118522856*c_1001_3^2 + 188237869/29630714*c_1001_3 + 26986715/1669336, c_0101_10 + 1, c_0101_11 - 1927/1669336*c_1001_3^9 + 8319/417334*c_1001_3^8 + 3178/208667*c_1001_3^7 - 257519/1669336*c_1001_3^6 + 233405/1669336*c_1001_3^5 + 1176695/1669336*c_1001_3^4 + 671989/834668*c_1001_3^3 + 694617/1669336*c_1001_3^2 - 467457/417334*c_1001_3 - 4087241/1669336, c_0101_5 - 34055/1669336*c_1001_3^9 - 26023/417334*c_1001_3^8 + 21187/208667*c_1001_3^7 + 263809/1669336*c_1001_3^6 - 2028379/1669336*c_1001_3^5 - 4738625/1669336*c_1001_3^4 - 2732015/834668*c_1001_3^3 - 4343207/1669336*c_1001_3^2 + 148113/417334*c_1001_3 + 3749247/1669336, c_1001_10 - 16001377/948182848*c_1001_3^9 - 7181039/237045712*c_1001_3^8 + 11130505/118522856*c_1001_3^7 - 15444785/948182848*c_1001_3^6 - 772119805/948182848*c_1001_3^5 - 1393582439/948182848*c_1001_3^4 - 922994969/474091424*c_1001_3^3 - 1325246377/948182848*c_1001_3^2 + 131757807/237045712*c_1001_3 + 21793783/13354688, c_1001_2 - 1, c_1001_3^10 + 3*c_1001_3^9 - 4*c_1001_3^8 - 7*c_1001_3^7 + 52*c_1001_3^6 + 146*c_1001_3^5 + 195*c_1001_3^4 + 167*c_1001_3^3 + 3*c_1001_3^2 - 165*c_1001_3 - 71 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB