Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 4273955544] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s109 geometric_solution 3.97517672 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 0 1 -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 1 -1 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 0.988292322617 1.705998937925 0 3 0 2 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 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 0.745754271777 0.438881222077 4 1 4 0 0132 1302 1023 0132 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 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 0.573050162282 0.635677415098 3 3 0 1 1230 3012 0132 2031 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 0 0 0 0 0 0 0 0 0 0 -0.444941287722 0.870725157483 2 5 2 5 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759310224765 0.133110028968 4 4 5 5 3201 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599536850065 0.076615913854 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_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_5' : d['c_0110_5'], 'c_1100_4' : d['c_0011_2'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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_2'], 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 244260937660411981/14579536852716144*c_0110_5^13 + 514617862620377951/14579536852716144*c_0110_5^12 - 5808419881968783761/14579536852716144*c_0110_5^11 - 1111124608803696643/14579536852716144*c_0110_5^10 - 5892828930036240849/4859845617572048*c_0110_5^9 - 20457182261667195527/14579536852716144*c_0110_5^8 - 6483958436970665225/14579536852716144*c_0110_5^7 - 1333973286092935623/1214961404393012*c_0110_5^6 + 23519107805245114583/14579536852716144*c_0110_5^5 + 9008275978662064009/7289768426358072*c_0110_5^4 + 379290238638981641/4859845617572048*c_0110_5^3 + 3533128954274917849/14579536852716144*c_0110_5^2 - 2629206909645702437/7289768426358072*c_0110_5 - 2318006842146808213/14579536852716144, c_0011_0 - 1, c_0011_2 - 11332092740989/303740351098253*c_0110_5^13 - 23166257988993/303740351098253*c_0110_5^12 + 268931775205865/303740351098253*c_0110_5^11 + 28086178863881/303740351098253*c_0110_5^10 + 863327609686808/303740351098253*c_0110_5^9 + 961576311545150/303740351098253*c_0110_5^8 + 315383932089592/303740351098253*c_0110_5^7 + 1219496325807921/303740351098253*c_0110_5^6 - 1083526780249166/303740351098253*c_0110_5^5 - 368391868872978/303740351098253*c_0110_5^4 + 354948457007361/303740351098253*c_0110_5^3 - 403259057105279/303740351098253*c_0110_5^2 + 723406611608279/303740351098253*c_0110_5 + 26412838058980/303740351098253, c_0011_3 + 51401508030104/303740351098253*c_0110_5^13 + 100475138813493/303740351098253*c_0110_5^12 - 1233924022199526/303740351098253*c_0110_5^11 - 34633271529236/303740351098253*c_0110_5^10 - 3797279072491931/303740351098253*c_0110_5^9 - 3836396125039026/303740351098253*c_0110_5^8 - 984480060259503/303740351098253*c_0110_5^7 - 3866101667873153/303740351098253*c_0110_5^6 + 5350207587587894/303740351098253*c_0110_5^5 + 2725664479103256/303740351098253*c_0110_5^4 - 166701754778817/303740351098253*c_0110_5^3 + 1657285580026638/303740351098253*c_0110_5^2 - 1433555532555802/303740351098253*c_0110_5 - 223055760172314/303740351098253, c_0101_0 + 49783023829290/303740351098253*c_0110_5^13 + 99886319849048/303740351098253*c_0110_5^12 - 1188795254358595/303740351098253*c_0110_5^11 - 86088420440667/303740351098253*c_0110_5^10 - 3687780862230111/303740351098253*c_0110_5^9 - 4056625958267545/303740351098253*c_0110_5^8 - 1439522862262807/303740351098253*c_0110_5^7 - 4338901883622727/303740351098253*c_0110_5^6 + 3841539244959190/303740351098253*c_0110_5^5 + 1923036238432488/303740351098253*c_0110_5^4 - 697751000195713/303740351098253*c_0110_5^3 + 1174747858000369/303740351098253*c_0110_5^2 - 872116941817219/303740351098253*c_0110_5 - 92351170787148/303740351098253, c_0101_2 - 32616588224679/303740351098253*c_0110_5^13 - 99371164723795/303740351098253*c_0110_5^12 + 701938837726028/303740351098253*c_0110_5^11 + 840217208200584/303740351098253*c_0110_5^10 + 2669507331627690/303740351098253*c_0110_5^9 + 5390755935414268/303740351098253*c_0110_5^8 + 4362867626581120/303740351098253*c_0110_5^7 + 5241293372502014/303740351098253*c_0110_5^6 + 1372379142265065/303740351098253*c_0110_5^5 - 2885936472689552/303740351098253*c_0110_5^4 - 893124244182672/303740351098253*c_0110_5^3 - 1540851168313561/303740351098253*c_0110_5^2 - 664936783105028/303740351098253*c_0110_5 + 156506477731843/303740351098253, c_0110_5^14 + 2*c_0110_5^13 - 24*c_0110_5^12 - 2*c_0110_5^11 - 72*c_0110_5^10 - 76*c_0110_5^9 - 18*c_0110_5^8 - 63*c_0110_5^7 + 103*c_0110_5^6 + 63*c_0110_5^5 - 3*c_0110_5^4 + 14*c_0110_5^3 - 23*c_0110_5^2 - 7*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB