Magma V2.19-8 Tue Aug 20 2013 23:38:19 on localhost [Seed = 206202914] Type ? for help. Type -D to quit. Loading file "K13n2527__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2527 geometric_solution 8.81282036 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 -1 1 1 0 0 -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 0.689907169758 0.855515924539 0 5 6 3 0132 0132 0132 2031 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 1 0 -1 -1 0 0 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 -0.268005627282 1.136098508129 7 0 8 6 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427403563859 1.053148682258 9 1 4 0 0132 1302 2103 0132 0 0 0 0 0 0 0 0 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 -1 0 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 0.704841356846 0.876859895078 3 7 0 8 2103 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 1.172614776074 0.790135649114 9 1 7 8 2103 0132 3120 3012 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 -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 0.204778400449 0.406596456049 9 8 2 1 3120 3120 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483954881834 1.040498012644 2 9 5 4 0132 2103 3120 3201 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757556891024 0.638840871799 4 6 5 2 3201 3120 1230 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394099750466 0.247949381909 3 7 5 6 0132 2103 2103 3120 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 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 -0.320369069319 1.071833590807 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0101_7'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_8' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_0101_6'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), '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'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_1'], '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_4'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0011_8'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0101_1, c_0101_2, c_0101_6, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 13154780788187376601609456/129634448309024740317899*c_1001_0^13 - 13997650613522355535977900/129634448309024740317899*c_1001_0^12 - 6271449602204976805662591/129634448309024740317899*c_1001_0^11 + 440945165761225221665047/6822865700474986332521*c_1001_0^10 + 78482703456008349754076123/259268896618049480635798*c_1001_0^9 + 81449903004015497944724703/129634448309024740317899*c_1001_0^8 + 106114061734057012885913917/259268896618049480635798*c_1001_0^7 + 31393181808993913769530080/129634448309024740317899*c_1001_0^6 - 54827046602966291336916709/259268896618049480635798*c_1001_0^5 - 171361824692696242475579409/259268896618049480635798*c_1001_0^4 - 208232024355076534207492115/259268896618049480635798*c_1001_0^3 - 5230848093375880335773997/5636280361261945231213*c_1001_0^2 - 83706038744306408199821131/259268896618049480635798*c_1001_0 - 51391118658317926193076069/129634448309024740317899, c_0011_0 - 1, c_0011_3 + 739923609286576/3614596678444483*c_1001_0^13 + 3021621618808492/3614596678444483*c_1001_0^12 + 409015574932983/3614596678444483*c_1001_0^11 - 794456943045698/3614596678444483*c_1001_0^10 - 5568839437772053/3614596678444483*c_1001_0^9 - 8511244010070428/3614596678444483*c_1001_0^8 - 10962116631977203/3614596678444483*c_1001_0^7 + 2907722607043664/3614596678444483*c_1001_0^6 - 214293130130127/3614596678444483*c_1001_0^5 + 17215018348161329/3614596678444483*c_1001_0^4 + 6997635543390287/3614596678444483*c_1001_0^3 + 15881457227289828/3614596678444483*c_1001_0^2 + 298149847475763/3614596678444483*c_1001_0 + 4412799603573731/3614596678444483, c_0011_4 + 781857904219088/3614596678444483*c_1001_0^13 - 476118268524972/3614596678444483*c_1001_0^12 + 1379385954031081/3614596678444483*c_1001_0^11 - 1152906231393220/3614596678444483*c_1001_0^10 - 519140604316071/3614596678444483*c_1001_0^9 - 4420508596555997/3614596678444483*c_1001_0^8 + 269616405787781/3614596678444483*c_1001_0^7 - 6946002267229554/3614596678444483*c_1001_0^6 + 8914064922089090/3614596678444483*c_1001_0^5 - 1839737711593694/3614596678444483*c_1001_0^4 + 12768275921968803/3614596678444483*c_1001_0^3 - 4158668090301870/3614596678444483*c_1001_0^2 + 8078065418911497/3614596678444483*c_1001_0 - 4927916980652047/3614596678444483, c_0011_6 + 115832724058432/3614596678444483*c_1001_0^13 + 710571562710928/3614596678444483*c_1001_0^12 + 477253534150724/3614596678444483*c_1001_0^11 - 813245616135840/3614596678444483*c_1001_0^10 - 1591120261334711/3614596678444483*c_1001_0^9 - 1061055894099006/3614596678444483*c_1001_0^8 - 681895399978807/3614596678444483*c_1001_0^7 + 1570014302223143/3614596678444483*c_1001_0^6 + 3784844524178272/3614596678444483*c_1001_0^5 + 2137621134142085/3614596678444483*c_1001_0^4 - 905973184524918/3614596678444483*c_1001_0^3 - 969622325446879/3614596678444483*c_1001_0^2 - 1001704777713707/3614596678444483*c_1001_0 - 2853694189848935/3614596678444483, c_0011_8 - 2521584088307056/3614596678444483*c_1001_0^13 - 1980786202979788/3614596678444483*c_1001_0^12 - 2112257555119359/3614596678444483*c_1001_0^11 + 3499189686553983/3614596678444483*c_1001_0^10 + 8024025064823982/3614596678444483*c_1001_0^9 + 16355324377266375/3614596678444483*c_1001_0^8 + 6991124918371930/3614596678444483*c_1001_0^7 + 7720929412044387/3614596678444483*c_1001_0^6 - 14306241431158309/3614596678444483*c_1001_0^5 - 13267071108436469/3614596678444483*c_1001_0^4 - 27604957184909392/3614596678444483*c_1001_0^3 - 14894468144033633/3614596678444483*c_1001_0^2 - 14602680319527941/3614596678444483*c_1001_0 - 3584724022559668/3614596678444483, c_0101_1 + 3175416380317280/3614596678444483*c_1001_0^13 - 88857102609800/3614596678444483*c_1001_0^12 + 238718590065766/3614596678444483*c_1001_0^11 - 5123545137636426/3614596678444483*c_1001_0^10 - 4207917175477167/3614596678444483*c_1001_0^9 - 11313582256077655/3614596678444483*c_1001_0^8 + 7237644418040152/3614596678444483*c_1001_0^7 - 3496842022926815/3614596678444483*c_1001_0^6 + 19209597612029348/3614596678444483*c_1001_0^5 - 3714723390893225/3614596678444483*c_1001_0^4 + 16419922580795763/3614596678444483*c_1001_0^3 - 9606387669875033/3614596678444483*c_1001_0^2 + 3253155046797622/3614596678444483*c_1001_0 - 5719324978407733/3614596678444483, c_0101_2 - 2290359310914784/3614596678444483*c_1001_0^13 - 2519798920973336/3614596678444483*c_1001_0^12 + 593474962691826/3614596678444483*c_1001_0^11 + 3188220107677202/3614596678444483*c_1001_0^10 + 5864401162382045/3614596678444483*c_1001_0^9 + 11800597704479601/3614596678444483*c_1001_0^8 + 5403995343230858/3614596678444483*c_1001_0^7 - 2756663019034626/3614596678444483*c_1001_0^6 - 7505915971226998/3614596678444483*c_1001_0^5 - 12701955266380210/3614596678444483*c_1001_0^4 - 14394429469761381/3614596678444483*c_1001_0^3 - 14128916739504472/3614596678444483*c_1001_0^2 - 1124560226354090/3614596678444483*c_1001_0 - 3078961456119585/3614596678444483, c_0101_6 - 1626018829554624/3614596678444483*c_1001_0^13 + 1305905218379648/3614596678444483*c_1001_0^12 + 2323221221945696/3614596678444483*c_1001_0^11 + 1897043498479079/3614596678444483*c_1001_0^10 + 635556308704989/3614596678444483*c_1001_0^9 + 1861966832145098/3614596678444483*c_1001_0^8 - 10486880458107224/3614596678444483*c_1001_0^7 - 2303229976390490/3614596678444483*c_1001_0^6 - 3557474822706787/3614596678444483*c_1001_0^5 + 3507864691758572/3614596678444483*c_1001_0^4 - 1188504554723091/3614596678444483*c_1001_0^3 + 4114371939817323/3614596678444483*c_1001_0^2 + 2369281119386848/3614596678444483*c_1001_0 - 3962277765401727/3614596678444483, c_0101_7 + 1111192298945136/3614596678444483*c_1001_0^13 - 3389513413884740/3614596678444483*c_1001_0^12 - 1788169829888101/3614596678444483*c_1001_0^11 - 5604240225911616/3614596678444483*c_1001_0^10 + 2416394527028266/3614596678444483*c_1001_0^9 + 4932528190579757/3614596678444483*c_1001_0^8 + 24156250095084317/3614596678444483*c_1001_0^7 + 5393959035630703/3614596678444483*c_1001_0^6 + 20859502797247996/3614596678444483*c_1001_0^5 - 23204199670432545/3614596678444483*c_1001_0^4 - 5444711907888430/3614596678444483*c_1001_0^3 - 40515823994463461/3614596678444483*c_1001_0^2 - 8342216239000067/3614596678444483*c_1001_0 - 19919966616008637/3614596678444483, c_1001_0^14 + 5/4*c_1001_0^13 + 25/16*c_1001_0^12 - 9/16*c_1001_0^11 - 21/8*c_1001_0^10 - 63/8*c_1001_0^9 - 53/8*c_1001_0^8 - 57/8*c_1001_0^7 + 19/8*c_1001_0^6 + 63/16*c_1001_0^5 + 231/16*c_1001_0^4 + 169/16*c_1001_0^3 + 195/16*c_1001_0^2 + 9/2*c_1001_0 + 59/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB