Magma V2.19-8 Tue Aug 20 2013 23:52:13 on localhost [Seed = 2564748206] Type ? for help. Type -D to quit. Loading file "L13n165__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n165 geometric_solution 11.29496914 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 1 0 1 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 0 0 0 0 0 0 0 0 -1 1 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 0.463822026698 0.795966492708 0 0 5 4 0132 1302 0132 0132 0 0 1 1 0 1 1 -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 -1 1 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 0.453487024088 0.937872700339 6 0 6 7 0132 0132 3012 0132 1 0 1 1 0 0 0 0 2 0 -2 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 15 -1 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582138079378 0.864195152332 6 8 5 0 2031 0132 3120 0132 1 0 1 0 0 0 0 0 2 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 -1 1 -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 0.565590047047 0.738257936606 7 9 1 6 3120 0132 0132 1023 0 0 1 1 0 0 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 -1 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 0 0 -0.417861920622 0.864195152332 10 10 3 1 0132 1230 3120 0132 0 0 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 0.456475552708 0.683904854771 2 2 3 4 0132 1230 1302 1023 0 0 1 1 0 2 -2 0 -2 0 0 2 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 1 0 0 -1 -15 14 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453487024088 0.937872700339 8 11 2 4 0213 0132 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.228329650223 0.911152310798 7 3 11 9 0213 0132 0132 1302 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 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 0.127537407062 1.183231917850 11 4 8 10 2103 0132 2031 1023 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.100608495423 1.410479373877 5 11 5 9 0132 3012 3012 1023 1 0 1 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 -1 1 0 -1 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 0.324835968798 1.011550248346 10 7 9 8 1230 0132 2103 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 0 0 0 0 0 0 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 1.002750254734 0.961245229796 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_4']), 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : 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_1'], '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_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_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0101_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_1001_3'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0101_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'], '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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_0'], '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_0011_10'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1947855360/4767361*c_1001_3^9 + 8438376960/4767361*c_1001_3^8 + 5111560320/4767361*c_1001_3^7 - 23761785600/4767361*c_1001_3^6 - 1994002368/280433*c_1001_3^5 + 13338486080/4767361*c_1001_3^4 + 51662598880/4767361*c_1001_3^3 + 34965080224/4767361*c_1001_3^2 + 8986294480/4767361*c_1001_3 + 705524368/4767361, c_0011_0 - 1, c_0011_10 - 1662944/280433*c_1001_3^9 - 6757792/280433*c_1001_3^8 - 2943296/280433*c_1001_3^7 + 19941784/280433*c_1001_3^6 + 24084776/280433*c_1001_3^5 - 13994616/280433*c_1001_3^4 - 38852632/280433*c_1001_3^3 - 23551534/280433*c_1001_3^2 - 5465430/280433*c_1001_3 - 761441/280433, c_0011_3 - 576864/280433*c_1001_3^9 - 2584608/280433*c_1001_3^8 - 1731344/280433*c_1001_3^7 + 7099592/280433*c_1001_3^6 + 10592244/280433*c_1001_3^5 - 3365456/280433*c_1001_3^4 - 15447054/280433*c_1001_3^3 - 11562218/280433*c_1001_3^2 - 3625181/280433*c_1001_3 - 358192/280433, c_0011_4 + 11936/1621*c_1001_3^9 + 41376/1621*c_1001_3^8 + 320/1621*c_1001_3^7 - 129504/1621*c_1001_3^6 - 97880/1621*c_1001_3^5 + 111616/1621*c_1001_3^4 + 187080/1621*c_1001_3^3 + 107852/1621*c_1001_3^2 + 33138/1621*c_1001_3 + 5175/1621, c_0101_0 - 1, c_0101_1 + 3092768/280433*c_1001_3^9 + 11929744/280433*c_1001_3^8 + 3727376/280433*c_1001_3^7 - 35623280/280433*c_1001_3^6 - 38534648/280433*c_1001_3^5 + 26267296/280433*c_1001_3^4 + 64626438/280433*c_1001_3^3 + 39172328/280433*c_1001_3^2 + 10154667/280433*c_1001_3 + 1508088/280433, c_0101_11 - 592448/280433*c_1001_3^9 - 2555120/280433*c_1001_3^8 - 1186480/280433*c_1001_3^7 + 7575632/280433*c_1001_3^6 + 8768216/280433*c_1001_3^5 - 5332772/280433*c_1001_3^4 - 13548836/280433*c_1001_3^3 - 8865770/280433*c_1001_3^2 - 2748888/280433*c_1001_3 - 437094/280433, c_0101_2 + 2290912/280433*c_1001_3^9 + 8923232/280433*c_1001_3^8 + 2777328/280433*c_1001_3^7 - 26967056/280433*c_1001_3^6 - 28456008/280433*c_1001_3^5 + 20851608/280433*c_1001_3^4 + 47493338/280433*c_1001_3^3 + 27846888/280433*c_1001_3^2 + 7653733/280433*c_1001_3 + 1283360/280433, c_0101_3 - 2400496/280433*c_1001_3^9 - 9388456/280433*c_1001_3^8 - 2958376/280433*c_1001_3^7 + 28437256/280433*c_1001_3^6 + 30118988/280433*c_1001_3^5 - 22029672/280433*c_1001_3^4 - 50461760/280433*c_1001_3^3 - 29388635/280433*c_1001_3^2 - 7529163/280433*c_1001_3 - 1114933/280433, c_0101_5 - 3151008/280433*c_1001_3^9 - 11331232/280433*c_1001_3^8 - 1267312/280433*c_1001_3^7 + 35246384/280433*c_1001_3^6 + 30425772/280433*c_1001_3^5 - 29938728/280433*c_1001_3^4 - 55770418/280433*c_1001_3^3 - 30647712/280433*c_1001_3^2 - 7573123/280433*c_1001_3 - 1298524/280433, c_1001_0 - 801856/280433*c_1001_3^9 - 3006512/280433*c_1001_3^8 - 950048/280433*c_1001_3^7 + 8656224/280433*c_1001_3^6 + 10078640/280433*c_1001_3^5 - 5415688/280433*c_1001_3^4 - 17133100/280433*c_1001_3^3 - 11325440/280433*c_1001_3^2 - 2500934/280433*c_1001_3 - 224728/280433, c_1001_3^10 + 5*c_1001_3^9 + 11/2*c_1001_3^8 - 21/2*c_1001_3^7 - 51/2*c_1001_3^6 - 9/2*c_1001_3^5 + 249/8*c_1001_3^4 + 281/8*c_1001_3^3 + 261/16*c_1001_3^2 + 61/16*c_1001_3 + 17/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB