Magma V2.19-8 Tue Aug 20 2013 23:48:50 on localhost [Seed = 1848116471] Type ? for help. Type -D to quit. Loading file "L12n1074__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1074 geometric_solution 10.58311876 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 0 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 0 0 0 0 0 1 0 -1 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 0.316472415776 0.827358526199 0 4 3 4 0132 0132 1230 1230 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 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 0.593477936920 0.718360227962 0 0 6 5 2031 0132 0132 0132 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 0 0 0 0 0 0 -1 0 1 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 0.596684434856 1.054393858473 7 8 0 1 0132 0132 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 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 0.746574631837 0.613802864439 1 1 9 6 3012 0132 0132 2310 0 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 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 0.596684434856 1.054393858473 10 10 2 8 0132 1302 0132 3120 0 0 0 1 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 1 -1 0 0 0 0 0 4 -5 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234894282021 0.577287584758 4 7 8 2 3201 1302 3120 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 -0.142802906143 0.827358204329 3 9 8 6 0132 0213 2031 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.422995737682 0.472200565198 5 3 6 7 3120 0132 3120 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.422995737682 0.472200565198 11 11 7 4 0132 1230 0213 0132 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 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 0.234894282021 0.577287584758 5 11 11 5 0132 0132 2031 2031 0 0 1 0 0 0 -1 1 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 -1 -4 5 0 0 1 -1 -2 1 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832860851140 0.628410189462 9 10 9 10 0132 0132 3012 1302 0 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 0 -1 0 0 0 0 0 -4 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395282329241 1.486183489052 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(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' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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_8']), 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_1001_2']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0101_8']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0101_6']), 's_3_1' : d['1'], 's_3_0' : negation(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' : 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' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_11'], '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' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_1'], '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_6, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_0101_6, c_0101_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 7862082547079582177/251713473461716*c_1001_2^11 + 6506974530472930711/35959067637388*c_1001_2^10 - 29502651621368816084/62928368365429*c_1001_2^9 - 17093556562257251901/71918135274776*c_1001_2^8 + 618235504366078339455/503426946923432*c_1001_2^7 - 72678829610937787059/1006853893846864*c_1001_2^6 - 641335689932071006293/503426946923432*c_1001_2^5 + 131974037215617312195/251713473461716*c_1001_2^4 + 151363331283611059621/251713473461716*c_1001_2^3 - 393671026970143459751/1006853893846864*c_1001_2^2 - 658995922320967365/5853801708412*c_1001_2 + 91216518604451272661/1006853893846864, c_0011_0 - 1, c_0011_10 + 18136550560/4266619321*c_1001_2^11 - 108176420172/4266619321*c_1001_2^10 + 288667439380/4266619321*c_1001_2^9 + 98679116408/4266619321*c_1001_2^8 - 750739303418/4266619321*c_1001_2^7 + 129489479378/4266619321*c_1001_2^6 + 777459400747/4266619321*c_1001_2^5 - 391144315984/4266619321*c_1001_2^4 - 352367601048/4266619321*c_1001_2^3 + 274206732844/4266619321*c_1001_2^2 + 65404088042/4266619321*c_1001_2 - 63997870269/4266619321, c_0011_3 - 16679289116/4266619321*c_1001_2^11 + 96315631908/4266619321*c_1001_2^10 - 248724731180/4266619321*c_1001_2^9 - 129678282110/4266619321*c_1001_2^8 + 646116399530/4266619321*c_1001_2^7 - 17395548543/4266619321*c_1001_2^6 - 662129305802/4266619321*c_1001_2^5 + 246414350239/4266619321*c_1001_2^4 + 312024956174/4266619321*c_1001_2^3 - 180685114012/4266619321*c_1001_2^2 - 60442986764/4266619321*c_1001_2 + 40725121505/4266619321, c_0011_6 - 1605566112/4266619321*c_1001_2^11 + 13322305368/4266619321*c_1001_2^10 - 44068026492/4266619321*c_1001_2^9 + 30345554364/4266619321*c_1001_2^8 + 136139491260/4266619321*c_1001_2^7 - 120327588814/4266619321*c_1001_2^6 - 160698425156/4266619321*c_1001_2^5 + 150541039405/4266619321*c_1001_2^4 + 65293938788/4266619321*c_1001_2^3 - 100156926108/4266619321*c_1001_2^2 - 10893412136/4266619321*c_1001_2 + 28419573807/4266619321, c_0101_1 - 1, c_0101_10 - 22522734488/4266619321*c_1001_2^11 + 126965201400/4266619321*c_1001_2^10 - 318297928016/4266619321*c_1001_2^9 - 221098657424/4266619321*c_1001_2^8 + 852849759720/4266619321*c_1001_2^7 + 71370593506/4266619321*c_1001_2^6 - 898992407430/4266619321*c_1001_2^5 + 261804740390/4266619321*c_1001_2^4 + 458357409489/4266619321*c_1001_2^3 - 222897389174/4266619321*c_1001_2^2 - 96978944081/4266619321*c_1001_2 + 52758030514/4266619321, c_0101_11 - 14510011456/4266619321*c_1001_2^11 + 86579235808/4266619321*c_1001_2^10 - 228665790764/4266619321*c_1001_2^9 - 92380482620/4266619321*c_1001_2^8 + 637435701784/4266619321*c_1001_2^7 - 90101553158/4266619321*c_1001_2^6 - 689429468206/4266619321*c_1001_2^5 + 312525374883/4266619321*c_1001_2^4 + 330495297028/4266619321*c_1001_2^3 - 245442684218/4266619321*c_1001_2^2 - 63410504037/4266619321*c_1001_2 + 60415330993/4266619321, c_0101_2 + 14510011456/4266619321*c_1001_2^11 - 86579235808/4266619321*c_1001_2^10 + 228665790764/4266619321*c_1001_2^9 + 92380482620/4266619321*c_1001_2^8 - 637435701784/4266619321*c_1001_2^7 + 90101553158/4266619321*c_1001_2^6 + 689429468206/4266619321*c_1001_2^5 - 312525374883/4266619321*c_1001_2^4 - 330495297028/4266619321*c_1001_2^3 + 245442684218/4266619321*c_1001_2^2 + 67677123358/4266619321*c_1001_2 - 60415330993/4266619321, c_0101_5 - 14510011456/4266619321*c_1001_2^11 + 86579235808/4266619321*c_1001_2^10 - 228665790764/4266619321*c_1001_2^9 - 92380482620/4266619321*c_1001_2^8 + 637435701784/4266619321*c_1001_2^7 - 90101553158/4266619321*c_1001_2^6 - 689429468206/4266619321*c_1001_2^5 + 312525374883/4266619321*c_1001_2^4 + 330495297028/4266619321*c_1001_2^3 - 245442684218/4266619321*c_1001_2^2 - 63410504037/4266619321*c_1001_2 + 60415330993/4266619321, c_0101_6 + c_1001_2, c_0101_8 + 1605566112/4266619321*c_1001_2^11 - 13322305368/4266619321*c_1001_2^10 + 44068026492/4266619321*c_1001_2^9 - 30345554364/4266619321*c_1001_2^8 - 136139491260/4266619321*c_1001_2^7 + 120327588814/4266619321*c_1001_2^6 + 160698425156/4266619321*c_1001_2^5 - 150541039405/4266619321*c_1001_2^4 - 65293938788/4266619321*c_1001_2^3 + 100156926108/4266619321*c_1001_2^2 + 10893412136/4266619321*c_1001_2 - 28419573807/4266619321, c_1001_2^12 - 7*c_1001_2^11 + 22*c_1001_2^10 - 21/2*c_1001_2^9 - 97/2*c_1001_2^8 + 199/4*c_1001_2^7 + 38*c_1001_2^6 - 66*c_1001_2^5 + c_1001_2^4 + 143/4*c_1001_2^3 - 23/2*c_1001_2^2 - 29/4*c_1001_2 + 7/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB