Magma V2.19-8 Tue Aug 20 2013 23:48:45 on localhost [Seed = 3002390549] Type ? for help. Type -D to quit. Loading file "K11a361__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11a361 geometric_solution 12.22001011 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 -1 0 1 0 0 -1 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 5 1 -6 0 0 6 -6 0 -1 0 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414765927154 0.653224996396 0 0 5 4 0132 1302 0132 0132 0 0 0 0 0 -1 1 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 6 -6 0 0 0 5 -5 -6 6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307261395564 1.091010960064 6 0 6 3 0132 0132 3012 2310 0 0 0 0 0 1 0 -1 1 0 -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 -5 0 5 -5 0 5 0 0 6 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276051192463 0.747425540139 2 4 7 0 3201 3012 0132 0132 0 0 0 0 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 0 0 0 0 0 1 -1 6 0 0 -6 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.120197787669 1.777006834870 3 8 1 9 1230 0132 0132 0132 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 -5 0 5 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 0.571621175401 0.669826997369 8 10 11 1 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 -6 6 5 0 0 -5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494107249265 1.762844297991 2 2 9 11 0132 1230 3201 0321 0 0 0 0 0 1 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 0 0 0 0 -5 -1 6 5 0 0 -5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668622431565 0.690305000656 12 10 8 3 0132 2031 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 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 0.565082340020 0.670626908592 5 4 10 7 0132 0132 1023 1302 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 -5 0 5 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 0.254432504080 0.396394914578 6 12 4 12 2310 2103 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394080816336 0.821698585972 7 5 8 11 1302 0132 1023 3120 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 -5 5 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 -0.053504545317 0.890874865045 10 6 12 5 3120 0321 0132 0132 0 0 0 0 0 1 0 -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 -6 0 6 0 0 0 0 -1 1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719756759881 0.641499641071 7 9 9 11 0132 2103 0132 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 0.350311972479 0.514999128853 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0101_1'], 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_2_12' : 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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_1001_4']), 'c_1100_6' : negation(d['c_0011_9']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : d['c_0101_11'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : d['1'], 's_1_6' : negation(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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_5'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : negation(d['c_0101_12']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : negation(d['c_0011_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 4998232785944578441821498389418808645451505/19827254586102802159633\ 9277719430956826018*c_1100_1^17 + 277883726725718960210835022537886\ 96616241517/396545091722056043192678555438861913652036*c_1100_1^16 - 114117338204320136209610505795051043192552271/396545091722056043192\ 678555438861913652036*c_1100_1^15 + 45843141384544594062410528969146461405102281/3965450917220560431926\ 78555438861913652036*c_1100_1^14 - 106867795950360580541216568149669266000914093/198272545861028021596\ 339277719430956826018*c_1100_1^13 - 12926273494572687341565923879098920070582925/3965450917220560431926\ 78555438861913652036*c_1100_1^12 - 1270754149303498048287002493480532606251232835/39654509172205604319\ 2678555438861913652036*c_1100_1^11 - 844434032953007995376256257078491874151077687/396545091722056043192\ 678555438861913652036*c_1100_1^10 + 491386233330455236210237404531971932388404592/991362729305140107981\ 69638859715478413009*c_1100_1^9 - 110754227313362259111709855826424\ 3926676381707/99136272930514010798169638859715478413009*c_1100_1^8 + 6479801721332609040434673514838276662053654489/39654509172205604319\ 2678555438861913652036*c_1100_1^7 + 1752967880568647119113381203662719178356384359/99136272930514010798\ 169638859715478413009*c_1100_1^6 - 12488413537748989262618718009571366155391733521/3965450917220560431\ 92678555438861913652036*c_1100_1^5 + 31850348998992381157014552391976986236125613/1173210330538627346723\ 901051594266016722*c_1100_1^4 - 98070942424321008722816765931061694\ 83914510699/396545091722056043192678555438861913652036*c_1100_1^3 - 204472926339789943650303114597131569289138317/180247768964570928723\ 94479792675541529638*c_1100_1^2 - 157762249499167466259444789343403\ 83294286231647/396545091722056043192678555438861913652036*c_1100_1 - 6652402902752113300294239681423329144729452255/19827254586102802159\ 6339277719430956826018, c_0011_0 - 1, c_0011_10 + 3794269290682430777420640956913/661101373547515452079532664\ 0450494*c_1100_1^17 - 18783953970403055756572132407779/132220274709\ 50309041590653280900988*c_1100_1^16 + 82268249199775125007561938398095/1322202747095030904159065328090098\ 8*c_1100_1^15 - 11235737866079365436943544346925/132220274709503090\ 41590653280900988*c_1100_1^14 + 41664478179779032749630348490608/33\ 05506867737577260397663320225247*c_1100_1^13 + 89343724743860891378106227209535/1322202747095030904159065328090098\ 8*c_1100_1^12 + 982342437476932873195691225056903/13222027470950309\ 041590653280900988*c_1100_1^11 + 1055449039802578771193275042770571\ /13222027470950309041590653280900988*c_1100_1^10 - 519219503966162711759121791163093/661101373547515452079532664045049\ 4*c_1100_1^9 + 904576566044966666134259736203634/330550686773757726\ 0397663320225247*c_1100_1^8 - 4133155370209752191438197075118771/13\ 222027470950309041590653280900988*c_1100_1^7 - 2704251519568366957739298298592981/66110137354751545207953266404504\ 94*c_1100_1^6 + 8393320794568563495216845458157455/1322202747095030\ 9041590653280900988*c_1100_1^5 - 2063990356912876688594284310190601\ /3305506867737577260397663320225247*c_1100_1^4 + 6371533140005507521672997294790865/13222027470950309041590653280900\ 988*c_1100_1^3 + 168011382196650360963267915579275/3005006243397797\ 50945242120020477*c_1100_1^2 + 6695209577867827012558769685607765/1\ 3222027470950309041590653280900988*c_1100_1 + 2934874623528877501807646241379114/33055068677375772603976633202252\ 47, c_0011_11 + 3794269290682430777420640956913/661101373547515452079532664\ 0450494*c_1100_1^17 - 18783953970403055756572132407779/132220274709\ 50309041590653280900988*c_1100_1^16 + 82268249199775125007561938398095/1322202747095030904159065328090098\ 8*c_1100_1^15 - 11235737866079365436943544346925/132220274709503090\ 41590653280900988*c_1100_1^14 + 41664478179779032749630348490608/33\ 05506867737577260397663320225247*c_1100_1^13 + 89343724743860891378106227209535/1322202747095030904159065328090098\ 8*c_1100_1^12 + 982342437476932873195691225056903/13222027470950309\ 041590653280900988*c_1100_1^11 + 1055449039802578771193275042770571\ /13222027470950309041590653280900988*c_1100_1^10 - 519219503966162711759121791163093/661101373547515452079532664045049\ 4*c_1100_1^9 + 904576566044966666134259736203634/330550686773757726\ 0397663320225247*c_1100_1^8 - 4133155370209752191438197075118771/13\ 222027470950309041590653280900988*c_1100_1^7 - 2704251519568366957739298298592981/66110137354751545207953266404504\ 94*c_1100_1^6 + 8393320794568563495216845458157455/1322202747095030\ 9041590653280900988*c_1100_1^5 - 2063990356912876688594284310190601\ /3305506867737577260397663320225247*c_1100_1^4 + 6371533140005507521672997294790865/13222027470950309041590653280900\ 988*c_1100_1^3 + 168011382196650360963267915579275/3005006243397797\ 50945242120020477*c_1100_1^2 + 6695209577867827012558769685607765/1\ 3222027470950309041590653280900988*c_1100_1 + 2934874623528877501807646241379114/33055068677375772603976633202252\ 47, c_0011_12 + 7579044815602599968504497506597/132220274709503090415906532\ 80900988*c_1100_1^17 - 24029630490758320284009158360977/13222027470\ 950309041590653280900988*c_1100_1^16 + 98026794430159503673943173473891/1322202747095030904159065328090098\ 8*c_1100_1^15 - 18817445929432493132945271215389/330550686773757726\ 0397663320225247*c_1100_1^14 + 206522521338986259323882367998401/13\ 222027470950309041590653280900988*c_1100_1^13 - 44882068490412750964499016239485/1322202747095030904159065328090098\ 8*c_1100_1^12 + 1031308069126070310275621556725223/1322202747095030\ 9041590653280900988*c_1100_1^11 + 71952059882210046595429914334675/\ 3305506867737577260397663320225247*c_1100_1^10 - 327989990694950104225634685640175/330550686773757726039766332022524\ 7*c_1100_1^9 + 4607179694590616238490860588874603/13222027470950309\ 041590653280900988*c_1100_1^8 - 1672301955653680785288053995519048/\ 3305506867737577260397663320225247*c_1100_1^7 - 2268272737331025226877090921335181/13222027470950309041590653280900\ 988*c_1100_1^6 + 5193285588604817514408525521534309/661101373547515\ 4520795326640450494*c_1100_1^5 - 1189384862342856714185132320114470\ 3/13222027470950309041590653280900988*c_1100_1^4 + 5401514047602370927656463243808339/66110137354751545207953266404504\ 94*c_1100_1^3 + 414369616223701715904707500685335/12020024973591190\ 03780968480081908*c_1100_1^2 + 3766146601993346636729699684640549/3\ 305506867737577260397663320225247*c_1100_1 + 2435495301469480245957734114091701/66110137354751545207953266404504\ 94, c_0011_3 + 5462364900022422328536382219029/6611013735475154520795326640\ 450494*c_1100_1^17 - 9180985824298101842712010898930/33055068677375\ 77260397663320225247*c_1100_1^16 + 36500659262512152947659654789111/3305506867737577260397663320225247\ *c_1100_1^15 - 65487240887637081396062036264173/6611013735475154520\ 795326640450494*c_1100_1^14 + 76226294430271913191591140285789/3305\ 506867737577260397663320225247*c_1100_1^13 - 65269877900123437944932078104631/6611013735475154520795326640450494\ *c_1100_1^12 + 375799769095259468400254181519916/330550686773757726\ 0397663320225247*c_1100_1^11 + 42403769718943237021270168822938/330\ 5506867737577260397663320225247*c_1100_1^10 - 1065898189244291503942699926961617/66110137354751545207953266404504\ 94*c_1100_1^9 + 3341520711363679851106300273272257/6611013735475154\ 520795326640450494*c_1100_1^8 - 4965621463100243722800642867170473/\ 6611013735475154520795326640450494*c_1100_1^7 - 712737872765992342130445666853113/661101373547515452079532664045049\ 4*c_1100_1^6 + 7770381169283351456408511941215353/66110137354751545\ 20795326640450494*c_1100_1^5 - 5623758625170600434687448962713086/3\ 305506867737577260397663320225247*c_1100_1^4 + 8466990804299286678292706067309813/66110137354751545207953266404504\ 94*c_1100_1^3 - 307737808114063518250314189482565/60100124867955950\ 1890484240040954*c_1100_1^2 + 10262860278977209540623056361041041/6\ 611013735475154520795326640450494*c_1100_1 + 2972020199084002073339683610669075/66110137354751545207953266404504\ 94, c_0011_9 + 4362847356883604171863866973581/1322202747095030904159065328\ 0900988*c_1100_1^17 - 11689868053341129984379864429977/132220274709\ 50309041590653280900988*c_1100_1^16 + 49124885141269917082748085948387/1322202747095030904159065328090098\ 8*c_1100_1^15 - 3530777725699160879961654392831/3305506867737577260\ 397663320225247*c_1100_1^14 + 86363138454193803535305564563549/1322\ 2027470950309041590653280900988*c_1100_1^13 + 48272474156774979333060639616391/1322202747095030904159065328090098\ 8*c_1100_1^12 + 509074887366163669090173651414907/13222027470950309\ 041590653280900988*c_1100_1^11 + 117897252452460163201317036906342/\ 3305506867737577260397663320225247*c_1100_1^10 - 230074637854876639375816690419312/330550686773757726039766332022524\ 7*c_1100_1^9 + 2164198214332922936155434304353343/13222027470950309\ 041590653280900988*c_1100_1^8 - 859069195879284085476064936017950/3\ 305506867737577260397663320225247*c_1100_1^7 - 4570828537259456767271481385353789/13222027470950309041590653280900\ 988*c_1100_1^6 + 2441002015037910260539989333773915/661101373547515\ 4520795326640450494*c_1100_1^5 - 9399734055946029449735510977411119\ /13222027470950309041590653280900988*c_1100_1^4 + 1453840789483861869411790050891071/66110137354751545207953266404504\ 94*c_1100_1^3 + 742561731135426123569319025175/12020024973591190037\ 80968480081908*c_1100_1^2 + 1368192636530381998212984707599191/3305\ 506867737577260397663320225247*c_1100_1 + 1461666595918464177324441971285411/66110137354751545207953266404504\ 94, c_0101_0 - 2820241219103024978863752889469/1322202747095030904159065328\ 0900988*c_1100_1^17 + 4708058696084952967205120140751/6611013735475\ 154520795326640450494*c_1100_1^16 - 11120007915683282160424506018017/3305506867737577260397663320225247\ *c_1100_1^15 + 60197793838986599241452000594835/1322202747095030904\ 1590653280900988*c_1100_1^14 - 172565697398350213455809322581733/13\ 222027470950309041590653280900988*c_1100_1^13 + 34081438376274369064352618364987/3305506867737577260397663320225247\ *c_1100_1^12 - 251927171307632188041902004407073/661101373547515452\ 0795326640450494*c_1100_1^11 + 110959221877473258477884955887527/13\ 222027470950309041590653280900988*c_1100_1^10 - 109589263432738369712480329801611/661101373547515452079532664045049\ 4*c_1100_1^9 - 1235723313597796445425148025036933/13222027470950309\ 041590653280900988*c_1100_1^8 + 5366795192982314691953151457617283/\ 13222027470950309041590653280900988*c_1100_1^7 - 3217220987737436568268197529474575/13222027470950309041590653280900\ 988*c_1100_1^6 + 2793317091482541915203814283802197/132220274709503\ 09041590653280900988*c_1100_1^5 + 700820316054333335658243637043351\ 3/13222027470950309041590653280900988*c_1100_1^4 - 20441939987805748797042042821313659/1322202747095030904159065328090\ 0988*c_1100_1^3 + 985160393326418796506178703406451/120200249735911\ 9003780968480081908*c_1100_1^2 - 1210706315727727881997588073847831\ 5/13222027470950309041590653280900988*c_1100_1 - 643050400808695425712613738548869/661101373547515452079532664045049\ 4, c_0101_1 + 10026562732320968129455780602077/132220274709503090415906532\ 80900988*c_1100_1^17 - 31724792440583178619283160339855/13222027470\ 950309041590653280900988*c_1100_1^16 + 127673827585121274524926319338425/132220274709503090415906532809009\ 88*c_1100_1^15 - 47056496533566453703501112988905/66110137354751545\ 20795326640450494*c_1100_1^14 + 249383250770050590856931018727371/1\ 3222027470950309041590653280900988*c_1100_1^13 - 47466502208797293192397429061797/1322202747095030904159065328090098\ 8*c_1100_1^12 + 1300577189937382009384953593206057/1322202747095030\ 9041590653280900988*c_1100_1^11 + 83861215330784935659150712079818/\ 3305506867737577260397663320225247*c_1100_1^10 - 976855448207422509615390223634531/661101373547515452079532664045049\ 4*c_1100_1^9 + 5622459985201775010004963231252283/13222027470950309\ 041590653280900988*c_1100_1^8 - 4301967369236868719999513000879535/\ 6611013735475154520795326640450494*c_1100_1^7 - 5405819475970710186951699434248409/13222027470950309041590653280900\ 988*c_1100_1^6 + 4009858061675452955689206956180160/330550686773757\ 7260397663320225247*c_1100_1^5 - 1720453700187776674171113082596862\ 5/13222027470950309041590653280900988*c_1100_1^4 + 3932896182899168446414795617151565/33055068677375772603976633202252\ 47*c_1100_1^3 + 760379092335255021528046102736675/12020024973591190\ 03780968480081908*c_1100_1^2 + 8460592102556829353394949332695147/6\ 611013735475154520795326640450494*c_1100_1 + 1815375997491603475544335858159801/33055068677375772603976633202252\ 47, c_0101_11 - 611879479179592040237820773870/3305506867737577260397663320\ 225247*c_1100_1^17 + 3847580974912429167637000989439/66110137354751\ 54520795326640450494*c_1100_1^16 - 14823516577480885425491572932267/6611013735475154520795326640450494\ *c_1100_1^15 + 9421604674701467437610570558127/66110137354751545207\ 95326640450494*c_1100_1^14 - 21430364715532165766524325364485/66110\ 13735475154520795326640450494*c_1100_1^13 + 646108429596135556974603205578/3305506867737577260397663320225247*c\ _1100_1^12 - 134634560405655849554666018240417/66110137354751545207\ 95326640450494*c_1100_1^11 - 11909155448574889063720797745143/33055\ 06867737577260397663320225247*c_1100_1^10 + 320875466817522301164120852354181/661101373547515452079532664045049\ 4*c_1100_1^9 - 253820072652789692878525660594420/330550686773757726\ 0397663320225247*c_1100_1^8 + 957363457929507149423405009841439/661\ 1013735475154520795326640450494*c_1100_1^7 + 784386684659921240018652128228307/330550686773757726039766332022524\ 7*c_1100_1^6 - 2826430534746088396969888390826011/66110137354751545\ 20795326640450494*c_1100_1^5 + 2655344189224599799929903812411961/6\ 611013735475154520795326640450494*c_1100_1^4 - 2464278318195965965173127990494791/66110137354751545207953266404504\ 94*c_1100_1^3 - 86502369027888326405834650512835/300500624339779750\ 945242120020477*c_1100_1^2 + 5682714836905018440859776677036445/661\ 1013735475154520795326640450494*c_1100_1 - 1195256693513726705130937602227901/66110137354751545207953266404504\ 94, c_0101_12 + 1397736470421444816518176407073/330550686773757726039766332\ 0225247*c_1100_1^17 - 8807825291085635841311701244093/6611013735475\ 154520795326640450494*c_1100_1^16 + 36209870019913478022626737324135/6611013735475154520795326640450494\ *c_1100_1^15 - 28456979949761218027607910894143/6611013735475154520\ 795326640450494*c_1100_1^14 + 81772955568468549558964185345649/6611\ 013735475154520795326640450494*c_1100_1^13 - 14909569465609407212374122264341/3305506867737577260397663320225247\ *c_1100_1^12 + 405371547494404193622873342708103/661101373547515452\ 0795326640450494*c_1100_1^11 + 35992905631443211168546937849496/330\ 5506867737577260397663320225247*c_1100_1^10 - 413900286312498163628859734484529/661101373547515452079532664045049\ 4*c_1100_1^9 + 732034989742053519200332134290673/330550686773757726\ 0397663320225247*c_1100_1^8 - 2399932508647948044204465821978753/66\ 11013735475154520795326640450494*c_1100_1^7 - 541334251816442930461059448859155/330550686773757726039766332022524\ 7*c_1100_1^6 + 2884888016094396071393302514227307/66110137354751545\ 20795326640450494*c_1100_1^5 - 5603976294098810566003369092813247/6\ 611013735475154520795326640450494*c_1100_1^4 + 2752797656728472203466334586140809/66110137354751545207953266404504\ 94*c_1100_1^3 - 64247298797793604217602533360644/300500624339779750\ 945242120020477*c_1100_1^2 + 7640722909983742510335714250562037/661\ 1013735475154520795326640450494*c_1100_1 + 1528829176867467162576056750314405/66110137354751545207953266404504\ 94, c_0101_5 - 2983905444685241641314308653623/6611013735475154520795326640\ 450494*c_1100_1^17 + 4071339480965777277835083238726/33055068677375\ 77260397663320225247*c_1100_1^16 - 34323444335159167160926593489077/6611013735475154520795326640450494\ *c_1100_1^15 + 14391336814669538439110521531771/6611013735475154520\ 795326640450494*c_1100_1^14 - 68855713865423847229944514962913/6611\ 013735475154520795326640450494*c_1100_1^13 - 5153628390545950308907634608541/3305506867737577260397663320225247*\ c_1100_1^12 - 174674017213323647318541694655868/3305506867737577260\ 397663320225247*c_1100_1^11 - 307865168072187212845888729577253/661\ 1013735475154520795326640450494*c_1100_1^10 + 579063907655503982067301987894403/661101373547515452079532664045049\ 4*c_1100_1^9 - 1378461305926800694026678100443601/66110137354751545\ 20795326640450494*c_1100_1^8 + 2575479237606012149979624810011577/6\ 611013735475154520795326640450494*c_1100_1^7 + 823418939120427264276644300808390/330550686773757726039766332022524\ 7*c_1100_1^6 - 1888266755711576437049123742007413/33055068677375772\ 60397663320225247*c_1100_1^5 + 2479028400758965513825663033320595/3\ 305506867737577260397663320225247*c_1100_1^4 - 5733623276339761154730911802083901/66110137354751545207953266404504\ 94*c_1100_1^3 - 12628208916884144329418655784722/300500624339779750\ 945242120020477*c_1100_1^2 - 1120362034277577096394536087456024/330\ 5506867737577260397663320225247*c_1100_1 - 4451225874754724409147055268210265/66110137354751545207953266404504\ 94, c_1001_4 - 1436428286837035749561350558236/3305506867737577260397663320\ 225247*c_1100_1^17 + 19076877255034176471260312347491/1322202747095\ 0309041590653280900988*c_1100_1^16 - 76760738062396128312230560444929/1322202747095030904159065328090098\ 8*c_1100_1^15 + 76594915222404278593256172677471/132220274709503090\ 41590653280900988*c_1100_1^14 - 90121563834182121171530273466389/66\ 11013735475154520795326640450494*c_1100_1^13 + 139231652981865854628283845202133/132220274709503090415906532809009\ 88*c_1100_1^12 - 745277010964066647528482696382271/1322202747095030\ 9041590653280900988*c_1100_1^11 + 87158219342591524391671626272631/\ 13222027470950309041590653280900988*c_1100_1^10 + 273932107658320325834366930391405/330550686773757726039766332022524\ 7*c_1100_1^9 - 1116870340290858074563315058086873/66110137354751545\ 20795326640450494*c_1100_1^8 + 7010470735059559751722475463656857/1\ 3222027470950309041590653280900988*c_1100_1^7 + 207611348647792929238791068802041/661101373547515452079532664045049\ 4*c_1100_1^6 - 7357517763368492193443542138082827/13222027470950309\ 041590653280900988*c_1100_1^5 + 2543500908607377642689925117406160/\ 3305506867737577260397663320225247*c_1100_1^4 - 17425850625128802615721791907219919/1322202747095030904159065328090\ 0988*c_1100_1^3 + 42073429301293395896660879302135/3005006243397797\ 50945242120020477*c_1100_1^2 - 4967544347797805120230271847067849/1\ 3222027470950309041590653280900988*c_1100_1 - 3042032741895779363519833177502085/66110137354751545207953266404504\ 94, c_1100_1^18 - 3*c_1100_1^17 + 12*c_1100_1^16 - 7*c_1100_1^15 + 22*c_1100_1^14 - 3*c_1100_1^13 + 126*c_1100_1^12 + 57*c_1100_1^11 - 219*c_1100_1^10 + 487*c_1100_1^9 - 740*c_1100_1^8 - 576*c_1100_1^7 + 1434*c_1100_1^6 - 1352*c_1100_1^5 + 1176*c_1100_1^4 + 298*c_1100_1^3 + 1414*c_1100_1^2 + 1003*c_1100_1 - 338 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 28003281865307988557945992334/52507560425256607709031984375*c_0101_\ 5*c_1100_1^10 - 71075729995081833016168560224/525075604252566077090\ 31984375*c_0101_5*c_1100_1^9 - 77286641057292248966306234342/525075\ 60425256607709031984375*c_0101_5*c_1100_1^8 - 101167015075061004839427715577/7501080060750943958433140625*c_0101_\ 5*c_1100_1^7 - 553020528290797847210023951861/525075604252566077090\ 31984375*c_0101_5*c_1100_1^6 + 32998777378595008562573461396/477341\ 4584114237064457453125*c_0101_5*c_1100_1^5 + 3516856316956742715413823798802/52507560425256607709031984375*c_010\ 1_5*c_1100_1^4 - 469598178972260853839831497258/1750252014175220256\ 9677328125*c_0101_5*c_1100_1^3 - 272684302567726850560431881347/350\ 0504028350440513935465625*c_0101_5*c_1100_1^2 - 2179931447231325881051676242741/52507560425256607709031984375*c_010\ 1_5*c_1100_1 - 86524938580960122584381999856/1750252014175220256967\ 7328125*c_0101_5 - 120246811776800702580407493329/52507560425256607\ 709031984375*c_1100_1^10 - 55540207819724416361332968902/1750252014\ 1752202569677328125*c_1100_1^9 - 623660987093933065276560351473/525\ 07560425256607709031984375*c_1100_1^8 + 12986713951069585142433596437/7501080060750943958433140625*c_1100_1\ ^7 + 342726616428572244427161215947/17502520141752202569677328125*c\ _1100_1^6 + 203103730620581846988633466324/477341458411423706445745\ 3125*c_1100_1^5 - 1266591473905155810730600295054/17502520141752202\ 569677328125*c_1100_1^4 - 2519177245926807016795456058656/525075604\ 25256607709031984375*c_1100_1^3 - 6674878284180925184481113568/3500\ 504028350440513935465625*c_1100_1^2 + 367862554618462574503352395871/52507560425256607709031984375*c_1100\ _1 - 98506258176095483048598900817/52507560425256607709031984375, c_0011_0 - 1, c_0011_10 + 12370076/934520435*c_0101_5*c_1100_1^10 - 10855841/934520435*c_0101_5*c_1100_1^9 - 16361438/934520435*c_0101_5*c_1100_1^8 - 183146381/934520435*c_0101_5*c_1100_1^7 - 292973574/934520435*c_0101_5*c_1100_1^6 + 155561579/934520435*c_0101_5*c_1100_1^5 + 1086294833/934520435*c_0101_5*c_1100_1^4 - 108094921/934520435*c_0101_5*c_1100_1^3 - 443987951/186904087*c_0101_5*c_1100_1^2 + 317289656/934520435*c_0101_5*c_1100_1 - 620509807/934520435*c_0101_5 - 156368731/934520435*c_1100_1^10 - 77054344/934520435*c_1100_1^9 - 767722832/934520435*c_1100_1^8 + 697752536/934520435*c_1100_1^7 + 513722624/934520435*c_1100_1^6 + 2103930366/934520435*c_1100_1^5 - 6436043433/934520435*c_1100_1^4 + 3406865341/934520435*c_1100_1^3 - 549466050/186904087*c_1100_1^2 + 152923669/934520435*c_1100_1 - 300033283/934520435, c_0011_11 - 12370076/934520435*c_0101_5*c_1100_1^10 + 10855841/934520435*c_0101_5*c_1100_1^9 + 16361438/934520435*c_0101_5*c_1100_1^8 + 183146381/934520435*c_0101_5*c_1100_1^7 + 292973574/934520435*c_0101_5*c_1100_1^6 - 155561579/934520435*c_0101_5*c_1100_1^5 - 1086294833/934520435*c_0101_5*c_1100_1^4 + 108094921/934520435*c_0101_5*c_1100_1^3 + 443987951/186904087*c_0101_5*c_1100_1^2 - 317289656/934520435*c_0101_5*c_1100_1 + 620509807/934520435*c_0101_5 + 118642836/934520435*c_1100_1^10 + 59392789/934520435*c_1100_1^9 + 540889832/934520435*c_1100_1^8 - 564417596/934520435*c_1100_1^7 - 615819124/934520435*c_1100_1^6 - 1521786356/934520435*c_1100_1^5 + 5037505888/934520435*c_1100_1^4 - 1901901531/934520435*c_1100_1^3 + 94482017/186904087*c_1100_1^2 + 351982951/934520435*c_1100_1 - 100208522/934520435, c_0011_12 - 15603392/934520435*c_0101_5*c_1100_1^10 - 27853483/934520435*c_0101_5*c_1100_1^9 - 64840229/934520435*c_0101_5*c_1100_1^8 + 30923837/934520435*c_0101_5*c_1100_1^7 + 267262368/934520435*c_0101_5*c_1100_1^6 + 364400107/934520435*c_0101_5*c_1100_1^5 - 740978521/934520435*c_0101_5*c_1100_1^4 - 1248372723/934520435*c_0101_5*c_1100_1^3 + 105119949/186904087*c_0101_5*c_1100_1^2 + 1162587878/934520435*c_0101_5*c_1100_1 - 25141701/934520435*c_0101_5 + 100208522/934520435*c_1100_1^10 + 218851358/934520435*c_1100_1^9 + 560435399/934520435*c_1100_1^8 + 340472788/934520435*c_1100_1^7 - 1165668728/934520435*c_1100_1^6 - 2018738432/934520435*c_1100_1^5 + 2085720436/934520435*c_1100_1^4 + 5037505888/934520435*c_1100_1^3 - 420463715/186904087*c_1100_1^2 + 1574703827/934520435*c_1100_1 + 1354068171/934520435, c_0011_3 - 37150301/934520435*c_0101_5*c_1100_1^10 - 14939479/934520435*c_0101_5*c_1100_1^9 - 68409522/934520435*c_0101_5*c_1100_1^8 + 356464236/934520435*c_0101_5*c_1100_1^7 + 698943689/934520435*c_0101_5*c_1100_1^6 + 513983831/934520435*c_0101_5*c_1100_1^5 - 2640123223/934520435*c_0101_5*c_1100_1^4 - 1174832719/934520435*c_0101_5*c_1100_1^3 + 479096701/186904087*c_0101_5*c_1100_1^2 + 2975037499/934520435*c_0101_5*c_1100_1 - 10954953/934520435*c_0101_5 + 272108906/934520435*c_1100_1^10 + 401465204/934520435*c_1100_1^9 + 1412319872/934520435*c_1100_1^8 + 6778859/934520435*c_1100_1^7 - 2355089049/934520435*c_1100_1^6 - 4567673991/934520435*c_1100_1^5 + 8211189813/934520435*c_1100_1^4 + 6068117184/934520435*c_1100_1^3 - 535207673/186904087*c_1100_1^2 + 2506263236/934520435*c_1100_1 + 1942756263/934520435, c_0011_9 + 104456088/934520435*c_0101_5*c_1100_1^10 + 23659132/934520435*c_0101_5*c_1100_1^9 + 482870096/934520435*c_0101_5*c_1100_1^8 - 539613393/934520435*c_0101_5*c_1100_1^7 - 205158237/934520435*c_0101_5*c_1100_1^6 - 891490563/934520435*c_0101_5*c_1100_1^5 + 4676366684/934520435*c_0101_5*c_1100_1^4 - 3801046233/934520435*c_0101_5*c_1100_1^3 + 114864717/186904087*c_0101_5*c_1100_1^2 + 2065812483/934520435*c_0101_5*c_1100_1 + 635853184/934520435*c_0101_5 + 100208522/934520435*c_1100_1^10 + 218851358/934520435*c_1100_1^9 + 560435399/934520435*c_1100_1^8 + 340472788/934520435*c_1100_1^7 - 1165668728/934520435*c_1100_1^6 - 2018738432/934520435*c_1100_1^5 + 2085720436/934520435*c_1100_1^4 + 5037505888/934520435*c_1100_1^3 - 420463715/186904087*c_1100_1^2 + 2509224262/934520435*c_1100_1 + 1354068171/934520435, c_0101_0 + 33094765/186904087*c_1100_1^10 + 30540440/186904087*c_1100_1^9 + 161394995/186904087*c_1100_1^8 - 89032822/186904087*c_1100_1^7 - 212173140/186904087*c_1100_1^6 - 497936151/186904087*c_1100_1^5 + 1239468145/186904087*c_1100_1^4 - 36641302/186904087*c_1100_1^3 + 60387190/186904087*c_1100_1^2 + 179785689/186904087*c_1100_1 + 233973890/186904087, c_0101_1 - 26614215/186904087*c_1100_1^10 - 15309709/186904087*c_1100_1^9 - 125727603/186904087*c_1100_1^8 + 104304642/186904087*c_1100_1^7 + 118683062/186904087*c_1100_1^6 + 308712671/186904087*c_1100_1^5 - 1055279187/186904087*c_1100_1^4 + 482592206/186904087*c_1100_1^3 - 26619755/186904087*c_1100_1^2 - 456891431/186904087*c_1100_1 - 110235263/186904087, c_0101_11 - 104456088/934520435*c_0101_5*c_1100_1^10 - 23659132/934520435*c_0101_5*c_1100_1^9 - 482870096/934520435*c_0101_5*c_1100_1^8 + 539613393/934520435*c_0101_5*c_1100_1^7 + 205158237/934520435*c_0101_5*c_1100_1^6 + 891490563/934520435*c_0101_5*c_1100_1^5 - 4676366684/934520435*c_0101_5*c_1100_1^4 + 3801046233/934520435*c_0101_5*c_1100_1^3 - 114864717/186904087*c_0101_5*c_1100_1^2 - 2065812483/934520435*c_0101_5*c_1100_1 - 635853184/934520435*c_0101_5 - 233279597/934520435*c_1100_1^10 - 295399903/934520435*c_1100_1^9 - 1189073414/934520435*c_1100_1^8 + 181050422/934520435*c_1100_1^7 + 1759084038/934520435*c_1100_1^6 + 3562301787/934520435*c_1100_1^5 - 7362116371/934520435*c_1100_1^4 - 2624544858/934520435*c_1100_1^3 + 393843960/186904087*c_1100_1^2 - 2924640547/934520435*c_1100_1 - 1905244486/934520435, c_0101_12 + 93742626/934520435*c_0101_5*c_1100_1^10 + 31276579/934520435*c_0101_5*c_1100_1^9 + 472763257/934520435*c_0101_5*c_1100_1^8 - 381595376/934520435*c_0101_5*c_1100_1^7 - 62828054/934520435*c_0101_5*c_1100_1^6 - 828546116/934520435*c_0101_5*c_1100_1^5 + 3645755388/934520435*c_0101_5*c_1100_1^4 - 3571127211/934520435*c_0101_5*c_1100_1^3 + 306733680/186904087*c_0101_5*c_1100_1^2 + 3196128231/934520435*c_0101_5*c_1100_1 + 807753568/934520435*c_0101_5 + 256505514/934520435*c_1100_1^10 + 373611721/934520435*c_1100_1^9 + 1347479643/934520435*c_1100_1^8 + 37702696/934520435*c_1100_1^7 - 2087826681/934520435*c_1100_1^6 - 4203273884/934520435*c_1100_1^5 + 7470211292/934520435*c_1100_1^4 + 4819744461/934520435*c_1100_1^3 - 430087724/186904087*c_1100_1^2 + 3668851114/934520435*c_1100_1 + 1917614562/934520435, c_0101_5^2 + 15114355/186904087*c_0101_5*c_1100_1^10 + 7528800/186904087*c_0101_5*c_1100_1^9 + 87404323/186904087*c_0101_5*c_1100_1^8 - 55234849/186904087*c_0101_5*c_1100_1^7 + 11434409/186904087*c_0101_5*c_1100_1^6 - 237596570/186904087*c_0101_5*c_1100_1^5 + 526999440/186904087*c_0101_5*c_1100_1^4 - 524725916/186904087*c_0101_5*c_1100_1^3 + 732825153/186904087*c_0101_5*c_1100_1^2 - 112326273/186904087*c_0101_5*c_1100_1 + 39115439/186904087*c_0101_5 + 109281274/186904087*c_1100_1^10 + 76991040/186904087*c_1100_1^9 + 521591051/186904087*c_1100_1^8 - 373517838/186904087*c_1100_1^7 - 561524690/186904087*c_1100_1^6 - 1369058454/186904087*c_1100_1^5 + 4302693116/186904087*c_1100_1^4 - 1273677928/186904087*c_1100_1^3 - 1770247/186904087*c_1100_1^2 + 1282058939/186904087*c_1100_1 + 485071499/186904087, c_1001_4 + 13685376/186904087*c_1100_1^10 + 10053237/186904087*c_1100_1^9 + 69412531/186904087*c_1100_1^8 - 47686382/186904087*c_1100_1^7 - 55584219/186904087*c_1100_1^6 - 214301819/186904087*c_1100_1^5 + 542950280/186904087*c_1100_1^4 - 135028168/186904087*c_1100_1^3 + 260628848/186904087*c_1100_1^2 + 18283608/186904087*c_1100_1 + 144993179/186904087, c_1100_1^11 + c_1100_1^10 + 5*c_1100_1^9 - 2*c_1100_1^8 - 6*c_1100_1^7 - 14*c_1100_1^6 + 36*c_1100_1^5 - 2*c_1100_1^3 + 11*c_1100_1^2 + 10*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.960 Total time: 2.169 seconds, Total memory usage: 32.09MB