Magma V2.19-8 Tue Aug 20 2013 16:16:12 on localhost [Seed = 1191631751] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0461 geometric_solution 4.49758820 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 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 0 0 0 0 0 0 3.382652773743 0.681310584709 2 0 0 2 0132 0132 1023 3201 0 0 0 0 0 1 0 -1 1 0 -1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.111921813156 0.066655238453 1 1 3 3 0132 2310 0132 2310 0 0 0 0 0 1 -1 0 -1 0 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 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 3.858490636834 3.099696454990 2 4 5 2 3201 0132 0132 0132 0 0 0 0 0 -1 0 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 -1 0 1 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 0.053081488994 0.515918634820 5 3 6 5 2310 0132 0132 2031 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 1 0 -1 1 0 0 -1 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202526380261 0.842683174595 6 4 4 3 2310 1302 3201 0132 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 1 -1 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 0.202526380261 0.842683174595 6 6 5 4 1302 2031 3201 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 0.592441867373 0.626027972843 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], '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_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_4']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 274786749911473/14091187996820*c_0101_4^12 - 32501794701493/3522796999205*c_0101_4^11 - 81972025498267/704559399841*c_0101_4^10 - 747174576316281/1409118799682*c_0101_4^9 + 1920070103750089/14091187996820*c_0101_4^8 + 7665218137107629/2818237599364*c_0101_4^7 + 8773579951305247/7045593998410*c_0101_4^6 - 72162069767914997/14091187996820*c_0101_4^5 - 200518017852739/14091187996820*c_0101_4^4 + 842748987925605/256203418124*c_0101_4^3 - 151607702699637/128101709062*c_0101_4^2 - 5888843844598287/14091187996820*c_0101_4 + 1626668897321277/7045593998410, c_0011_0 - 1, c_0011_3 - 36031673623/320254272655*c_0101_4^12 + 2478246382/320254272655*c_0101_4^11 + 42039529497/64050854531*c_0101_4^10 + 212377218013/64050854531*c_0101_4^9 + 212308685396/320254272655*c_0101_4^8 - 950809164609/64050854531*c_0101_4^7 - 4091641948154/320254272655*c_0101_4^6 + 7063317044302/320254272655*c_0101_4^5 + 1875577371419/320254272655*c_0101_4^4 - 922740923605/64050854531*c_0101_4^3 + 161970282570/64050854531*c_0101_4^2 + 562815125902/320254272655*c_0101_4 + 47737695256/320254272655, c_0011_5 + 656246407401/3522796999205*c_0101_2*c_0101_4^12 - 54681470224/3522796999205*c_0101_2*c_0101_4^11 - 770539077696/704559399841*c_0101_2*c_0101_4^10 - 3869450712475/704559399841*c_0101_2*c_0101_4^9 - 3433157969292/3522796999205*c_0101_2*c_0101_4^8 + 17545536993256/704559399841*c_0101_2*c_0101_4^7 + 75354446489163/3522796999205*c_0101_2*c_0101_4^6 - 132390868224159/3522796999205*c_0101_2*c_0101_4^5 - 42982833093498/3522796999205*c_0101_2*c_0101_4^4 + 1461840461936/64050854531*c_0101_2*c_0101_4^3 - 171340262580/64050854531*c_0101_2*c_0101_4^2 - 11082729720384/3522796999205*c_0101_2*c_0101_4 + 1060115504413/3522796999205*c_0101_2, c_0011_6 + 119899772140/704559399841*c_0101_2*c_0101_4^12 - 56330269007/704559399841*c_0101_2*c_0101_4^11 - 688863552398/704559399841*c_0101_2*c_0101_4^10 - 3251741968227/704559399841*c_0101_2*c_0101_4^9 + 686624486063/704559399841*c_0101_2*c_0101_4^8 + 15871945503371/704559399841*c_0101_2*c_0101_4^7 + 7098367982787/704559399841*c_0101_2*c_0101_4^6 - 28531689136999/704559399841*c_0101_2*c_0101_4^5 + 4167010764007/704559399841*c_0101_2*c_0101_4^4 + 1650895109048/64050854531*c_0101_2*c_0101_4^3 - 766474674427/64050854531*c_0101_2*c_0101_4^2 - 1500373010468/704559399841*c_0101_2*c_0101_4 + 1123114081623/704559399841*c_0101_2, c_0101_0 + 359980353757/3522796999205*c_0101_2*c_0101_4^12 - 397314044343/3522796999205*c_0101_2*c_0101_4^11 - 448404689846/704559399841*c_0101_2*c_0101_4^10 - 1699571050030/704559399841*c_0101_2*c_0101_4^9 + 9826609870081/3522796999205*c_0101_2*c_0101_4^8 + 11004699047625/704559399841*c_0101_2*c_0101_4^7 - 4944574183829/3522796999205*c_0101_2*c_0101_4^6 - 133837002665383/3522796999205*c_0101_2*c_0101_4^5 + 26419841442169/3522796999205*c_0101_2*c_0101_4^4 + 1557988533550/64050854531*c_0101_2*c_0101_4^3 - 748063048855/64050854531*c_0101_2*c_0101_4^2 - 8048690476863/3522796999205*c_0101_2*c_0101_4 + 9708739735341/3522796999205*c_0101_2, c_0101_2^2 + 40764533623/640508545310*c_0101_4^12 - 7280116171/320254272655*c_0101_4^11 - 24732610213/64050854531*c_0101_4^10 - 112756149535/64050854531*c_0101_4^9 + 163403323829/640508545310*c_0101_4^8 + 1147056926501/128101709062*c_0101_4^7 + 1511730476967/320254272655*c_0101_4^6 - 10674586846697/640508545310*c_0101_4^5 - 623495765049/640508545310*c_0101_4^4 + 1555684583259/128101709062*c_0101_4^3 - 251894792126/64050854531*c_0101_4^2 - 810628092957/640508545310*c_0101_4 - 55824492543/320254272655, c_0101_4^13 - 6*c_0101_4^11 - 30*c_0101_4^10 - 7*c_0101_4^9 + 137*c_0101_4^8 + 128*c_0101_4^7 - 207*c_0101_4^6 - 99*c_0101_4^5 + 133*c_0101_4^4 - 29*c_0101_4^2 + 2*c_0101_4 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB