Magma V2.19-8 Tue Aug 20 2013 23:41:29 on localhost [Seed = 3717970287] Type ? for help. Type -D to quit. Loading file "K12n577__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n577 geometric_solution 10.23365367 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 0213 0132 0132 0 0 0 0 0 0 -1 1 1 0 -1 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 5 -4 -4 0 4 0 0 4 0 -4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388303116280 1.281758554058 0 4 0 5 0132 0132 0213 0132 0 0 0 0 0 0 0 0 -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 0 1 -1 4 0 -4 0 -5 0 0 5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783516466047 0.714595401952 6 3 7 0 0132 0132 0132 0132 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 0 0 5 -5 0 0 4 -4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131562431988 0.458703202505 8 2 0 9 0132 0132 0132 0132 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 0 4 -4 5 0 0 -5 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085055982950 1.062697986676 8 1 9 5 3012 0132 3012 0213 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 0 0 0 0 0 0 0 -5 5 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465277133588 0.540414565149 6 7 1 4 2103 2103 0132 0213 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 -1 1 0 0 0 0 0 5 -5 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900315546991 0.475540948344 2 10 5 11 0132 0132 2103 0132 0 0 0 0 0 -1 1 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 5 -5 0 0 0 0 0 1 -5 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445936909101 2.025618999018 11 5 10 2 1023 2103 1023 0132 0 0 0 0 0 -1 0 1 -1 0 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 5 0 -5 4 0 0 -4 0 1 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892612032376 1.218945607370 3 10 11 4 0132 1023 0132 1230 0 0 0 0 0 -1 1 0 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 4 -4 0 -5 0 0 5 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592059784754 1.834069777557 11 4 3 10 0132 1230 0132 1023 0 0 0 0 0 0 -1 1 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 4 -4 0 0 5 -5 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.821695671770 0.764362826964 8 6 7 9 1023 0132 1023 1023 0 0 0 0 0 1 0 -1 1 0 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 -5 0 5 -4 0 0 4 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310217888682 0.381531585778 9 7 6 8 0132 1023 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 -4 0 4 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310217888682 0.381531585778 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : d['c_0011_5'], 'c_1010_10' : d['c_0011_5'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_5'], 'c_0101_10' : d['c_0011_5'], 's_2_0' : negation(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_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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_1001_2']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_4'], 'c_1100_10' : negation(d['c_1100_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : negation(d['c_1001_2']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_4'], 'c_1100_8' : d['c_0110_4'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_2' : negation(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_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0110_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0011_5']})} 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_11, c_0011_5, c_0101_0, c_0101_4, c_0101_7, c_0101_8, c_0110_4, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 6145080330139411571267599393164/37500703995765585160421593499*c_110\ 0_0^18 - 40445631153928388756384266439771/7500140799153117032084318\ 6998*c_1100_0^17 + 101753564506297808544566867871240/37500703995765\ 585160421593499*c_1100_0^16 - 1170713063740862479449899911835651/15\ 0002815983062340641686373996*c_1100_0^15 + 602016360567160067370378893880542/37500703995765585160421593499*c_1\ 100_0^14 - 206278413968728692395752859471788/5357243427966512165774\ 513357*c_1100_0^13 + 893124778047364871345938379855509/214289737118\ 66048663098053428*c_1100_0^12 - 35374946852622056494148479013569/46\ 5847254605783666589088118*c_1100_0^11 + 1858481011782793005782472562731618/37500703995765585160421593499*c_\ 1100_0^10 - 10403189929660147676294911950657505/1500028159830623406\ 41686373996*c_1100_0^9 + 1744118195649519500150939476393305/3750070\ 3995765585160421593499*c_1100_0^8 - 3378768031538792613524769420693404/37500703995765585160421593499*c_\ 1100_0^7 + 9013993587931627126605708832908749/150002815983062340641\ 686373996*c_1100_0^6 - 6259294259023786799875763096205957/150002815\ 983062340641686373996*c_1100_0^5 + 1054711610604975030294379180533837/75001407991531170320843186998*c_\ 1100_0^4 - 3558576246842468280999651222656283/150002815983062340641\ 686373996*c_1100_0^3 + 3616105853693644589089958258253381/150002815\ 983062340641686373996*c_1100_0^2 - 22269665627525248486758897301552/1630465391120242833061808413*c_110\ 0_0 + 57694819110377718792487014053495/2142897371186604866309805342\ 8, c_0011_0 - 1, c_0011_10 - 56405915303282084511/2260768887277712800774*c_1100_0^18 + 117362742699809782609/2260768887277712800774*c_1100_0^17 - 1459218195870320919037/4521537774555425601548*c_1100_0^16 + 3291798024743535281037/4521537774555425601548*c_1100_0^15 - 5232884458022890744693/4521537774555425601548*c_1100_0^14 + 15501402474926488700585/4521537774555425601548*c_1100_0^13 - 495874588374163551221/2260768887277712800774*c_1100_0^12 + 13585187991799181737811/2260768887277712800774*c_1100_0^11 + 15009083261536767528541/4521537774555425601548*c_1100_0^10 + 17001332343499030333043/4521537774555425601548*c_1100_0^9 + 224781830966681361115/4521537774555425601548*c_1100_0^8 + 21517180700279378664757/4521537774555425601548*c_1100_0^7 + 2776929616042040296965/4521537774555425601548*c_1100_0^6 - 6069783561700669803803/4521537774555425601548*c_1100_0^5 - 4728075562122523346317/2260768887277712800774*c_1100_0^4 + 75268828966801417768/1130384443638856400387*c_1100_0^3 - 6720762918913409013643/4521537774555425601548*c_1100_0^2 - 2025507028275294517851/4521537774555425601548*c_1100_0 - 494178305850391903823/2260768887277712800774, c_0011_11 + c_1100_0, c_0011_5 - 33086309534398575478/1130384443638856400387*c_1100_0^18 + 65484385933302021901/1130384443638856400387*c_1100_0^17 - 850764898571902929455/2260768887277712800774*c_1100_0^16 + 1860018677286001766165/2260768887277712800774*c_1100_0^15 - 6056029672949709173603/4521537774555425601548*c_1100_0^14 + 9055944497278497641205/2260768887277712800774*c_1100_0^13 - 830323645785421214111/4521537774555425601548*c_1100_0^12 + 8826524931421819919158/1130384443638856400387*c_1100_0^11 + 5177159796479772853072/1130384443638856400387*c_1100_0^10 + 8212255822152625511265/1130384443638856400387*c_1100_0^9 + 14855169932317168554767/4521537774555425601548*c_1100_0^8 + 21714721679323556059903/2260768887277712800774*c_1100_0^7 + 26221843481369814765507/4521537774555425601548*c_1100_0^6 + 5376266874638709829889/2260768887277712800774*c_1100_0^5 + 5486497633768255916393/4521537774555425601548*c_1100_0^4 + 2829223945128752590097/1130384443638856400387*c_1100_0^3 + 503030535579396921461/1130384443638856400387*c_1100_0^2 - 282046661276017433432/1130384443638856400387*c_1100_0 - 465957307446844770087/4521537774555425601548, c_0101_0 + 6033181716455484394/1130384443638856400387*c_1100_0^18 - 17475326222978900010/1130384443638856400387*c_1100_0^17 + 89826148168539870144/1130384443638856400387*c_1100_0^16 - 240870502943106393668/1130384443638856400387*c_1100_0^15 + 884788274603250206785/2260768887277712800774*c_1100_0^14 - 2170845655991459394347/2260768887277712800774*c_1100_0^13 + 1568422510657560648665/2260768887277712800774*c_1100_0^12 - 1736114017296550661519/1130384443638856400387*c_1100_0^11 + 627488819321351427755/2260768887277712800774*c_1100_0^10 - 1095762514362976852639/1130384443638856400387*c_1100_0^9 + 427838168392358505279/1130384443638856400387*c_1100_0^8 - 4369990063182017802595/2260768887277712800774*c_1100_0^7 + 655283887486212648844/1130384443638856400387*c_1100_0^6 + 283575727581984693244/1130384443638856400387*c_1100_0^5 - 1177634220826881799999/2260768887277712800774*c_1100_0^4 - 1459572345878937438829/2260768887277712800774*c_1100_0^3 + 2095386614372200552533/1130384443638856400387*c_1100_0^2 + 354379635466248085329/2260768887277712800774*c_1100_0 - 889957281685538303474/1130384443638856400387, c_0101_4 - 10913155167900220950/1130384443638856400387*c_1100_0^18 + 38297885658964098652/1130384443638856400387*c_1100_0^17 - 193966783187829942399/1130384443638856400387*c_1100_0^16 + 563248095086254705500/1130384443638856400387*c_1100_0^15 - 1243815658532278190018/1130384443638856400387*c_1100_0^14 + 2884637352462172906431/1130384443638856400387*c_1100_0^13 - 3499262768083890142221/1130384443638856400387*c_1100_0^12 + 12799628969755419403975/2260768887277712800774*c_1100_0^11 - 8334800166970930073069/2260768887277712800774*c_1100_0^10 + 8082323612559503662771/1130384443638856400387*c_1100_0^9 - 2541697310611726274093/1130384443638856400387*c_1100_0^8 + 21044312857466235167277/2260768887277712800774*c_1100_0^7 - 2761994413837570902881/1130384443638856400387*c_1100_0^6 + 9096143127358860486277/2260768887277712800774*c_1100_0^5 + 760597194805943219641/2260768887277712800774*c_1100_0^4 + 3446957760513560859921/1130384443638856400387*c_1100_0^3 - 3037481776574012414509/2260768887277712800774*c_1100_0^2 + 346318432990694179257/2260768887277712800774*c_1100_0 + 478504492713134313641/2260768887277712800774, c_0101_7 - 78309587241764924348/1130384443638856400387*c_1100_0^18 + 167385760872483326412/1130384443638856400387*c_1100_0^17 - 1038401039765069459732/1130384443638856400387*c_1100_0^16 + 2355448626845638247755/1130384443638856400387*c_1100_0^15 - 3987488410174008993579/1130384443638856400387*c_1100_0^14 + 22594926988216073433455/2260768887277712800774*c_1100_0^13 - 2148659013070109030911/1130384443638856400387*c_1100_0^12 + 43620207722057797874181/2260768887277712800774*c_1100_0^11 + 9747006320053693792616/1130384443638856400387*c_1100_0^10 + 21942286776943275327514/1130384443638856400387*c_1100_0^9 + 11820913404618034586783/2260768887277712800774*c_1100_0^8 + 30862896615195001206746/1130384443638856400387*c_1100_0^7 + 19020270347289729163015/2260768887277712800774*c_1100_0^6 + 9370318732958459168999/2260768887277712800774*c_1100_0^5 + 7116020522744795686237/2260768887277712800774*c_1100_0^4 + 17325568102139882867079/2260768887277712800774*c_1100_0^3 - 4524411028045459162971/2260768887277712800774*c_1100_0^2 - 1354891532429138978438/1130384443638856400387*c_1100_0 + 951585782912044352861/1130384443638856400387, c_0101_8 - 10913155167900220950/1130384443638856400387*c_1100_0^18 + 38297885658964098652/1130384443638856400387*c_1100_0^17 - 193966783187829942399/1130384443638856400387*c_1100_0^16 + 563248095086254705500/1130384443638856400387*c_1100_0^15 - 1243815658532278190018/1130384443638856400387*c_1100_0^14 + 2884637352462172906431/1130384443638856400387*c_1100_0^13 - 3499262768083890142221/1130384443638856400387*c_1100_0^12 + 12799628969755419403975/2260768887277712800774*c_1100_0^11 - 8334800166970930073069/2260768887277712800774*c_1100_0^10 + 8082323612559503662771/1130384443638856400387*c_1100_0^9 - 2541697310611726274093/1130384443638856400387*c_1100_0^8 + 21044312857466235167277/2260768887277712800774*c_1100_0^7 - 2761994413837570902881/1130384443638856400387*c_1100_0^6 + 9096143127358860486277/2260768887277712800774*c_1100_0^5 + 760597194805943219641/2260768887277712800774*c_1100_0^4 + 3446957760513560859921/1130384443638856400387*c_1100_0^3 - 3037481776574012414509/2260768887277712800774*c_1100_0^2 + 346318432990694179257/2260768887277712800774*c_1100_0 + 478504492713134313641/2260768887277712800774, c_0110_4 - 56405915303282084511/2260768887277712800774*c_1100_0^18 + 117362742699809782609/2260768887277712800774*c_1100_0^17 - 1459218195870320919037/4521537774555425601548*c_1100_0^16 + 3291798024743535281037/4521537774555425601548*c_1100_0^15 - 5232884458022890744693/4521537774555425601548*c_1100_0^14 + 15501402474926488700585/4521537774555425601548*c_1100_0^13 - 495874588374163551221/2260768887277712800774*c_1100_0^12 + 13585187991799181737811/2260768887277712800774*c_1100_0^11 + 15009083261536767528541/4521537774555425601548*c_1100_0^10 + 17001332343499030333043/4521537774555425601548*c_1100_0^9 + 224781830966681361115/4521537774555425601548*c_1100_0^8 + 21517180700279378664757/4521537774555425601548*c_1100_0^7 + 2776929616042040296965/4521537774555425601548*c_1100_0^6 - 6069783561700669803803/4521537774555425601548*c_1100_0^5 - 4728075562122523346317/2260768887277712800774*c_1100_0^4 + 75268828966801417768/1130384443638856400387*c_1100_0^3 - 6720762918913409013643/4521537774555425601548*c_1100_0^2 - 2025507028275294517851/4521537774555425601548*c_1100_0 - 494178305850391903823/2260768887277712800774, c_1001_0 + 20906709735071138862/1130384443638856400387*c_1100_0^18 - 68753310921668900980/1130384443638856400387*c_1100_0^17 + 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