Magma V2.19-8 Tue Aug 20 2013 16:17:12 on localhost [Seed = 2496989259] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1436 geometric_solution 5.26386792 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 1023 0 0 0 0 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 1 0 -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 0.705598050733 0.135117308983 0 3 0 3 0132 0132 1023 1023 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 -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 0.632893881244 0.261791681069 4 0 4 0 0132 0132 1023 1023 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 0 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 0.632893881244 0.261791681069 5 1 6 1 0132 0132 0132 1023 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 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 1.029844575998 1.337609037089 2 5 2 6 0132 3201 1023 2310 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 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 1.029844575998 1.337609037089 3 5 4 5 0132 2310 2310 3201 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 -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 -0.171944872864 1.005826296944 4 6 6 3 3201 1230 3012 0132 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 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 0.303026611813 0.878020509996 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_0' : 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_2_6' : 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' : d['1'], 's_1_1' : negation(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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_4']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 5304581930210172449421777274825/753265943377147697279043996*c_0101_\ 4^15 - 5743676180908520823715668180655/753265943377147697279043996*\ c_0101_4^14 - 1461055307642565285930822813083/188316485844286924319\ 760999*c_0101_4^13 + 5317387799154080780457274366184/18831648584428\ 6924319760999*c_0101_4^12 - 104240145493616850576769726413587/75326\ 5943377147697279043996*c_0101_4^11 - 49374682714777986152775651156187/753265943377147697279043996*c_0101\ _4^10 - 108721542991563418032800135244752/1883164858442869243197609\ 99*c_0101_4^9 - 351181899259127825727590045051827/75326594337714769\ 7279043996*c_0101_4^8 - 39722644976958559695568097556247/5380471024\ 1224835519931714*c_0101_4^7 - 188109783387051408121440961929919/753\ 265943377147697279043996*c_0101_4^6 + 2289028640258884414442596449955/83696215930794188586560444*c_0101_4\ ^5 + 11466626452375518188914004275321/753265943377147697279043996*c\ _0101_4^4 + 8296888970823575978375551727959/10760942048244967103986\ 3428*c_0101_4^3 - 564158059988939952024079222267/269023551206124177\ 59965857*c_0101_4^2 - 281123580092323597160915806649/10760942048244\ 9671039863428*c_0101_4 + 341310062496629427132123851165/37663297168\ 8573848639521998, c_0011_0 - 1, c_0011_6 - 2170935119156890106119706075/26902355120612417759965857*c_01\ 01_4^15 + 2259191781718615649225443655/26902355120612417759965857*c\ _0101_4^14 + 2460304320541492043282840557/2690235512061241775996585\ 7*c_0101_4^13 - 8576571135242817204462578761/2690235512061241775996\ 5857*c_0101_4^12 + 42332703891616469825293130269/269023551206124177\ 59965857*c_0101_4^11 + 21888641554497648190699609127/26902355120612\ 417759965857*c_0101_4^10 + 179410419230212806655849592722/269023551\ 20612417759965857*c_0101_4^9 + 151610131311140440060953065285/26902\ 355120612417759965857*c_0101_4^8 + 236223637257758082805143451897/26902355120612417759965857*c_0101_4^\ 7 + 89078945968220443102737436946/26902355120612417759965857*c_0101\ _4^6 - 168137000645197007281519038/2989150568956935306662873*c_0101\ _4^5 - 3246913662253035972974552015/26902355120612417759965857*c_01\ 01_4^4 - 23743210019821084537347191219/26902355120612417759965857*c\ _0101_4^3 + 5470895174728222160359051676/26902355120612417759965857\ *c_0101_4^2 + 710296409413856468951681281/2690235512061241775996585\ 7*c_0101_4 - 213373562419333233926254928/26902355120612417759965857\ , c_0101_0 - c_0101_4, c_0101_1 - 2055330509785686832541820800/26902355120612417759965857*c_01\ 01_4^15 + 2181411149238166986383807120/26902355120612417759965857*c\ _0101_4^14 + 2284403801647727927795787733/2690235512061241775996585\ 7*c_0101_4^13 - 8169441617787576113518008718/2690235512061241775996\ 5857*c_0101_4^12 + 40246350401755506110812994956/269023551206124177\ 59965857*c_0101_4^11 + 19897314211032882485775144488/26902355120612\ 417759965857*c_0101_4^10 + 169434438156407689078963786483/269023551\ 20612417759965857*c_0101_4^9 + 140056201842794153073112422383/26902\ 355120612417759965857*c_0101_4^8 + 220809478506181067626315791745/26902355120612417759965857*c_0101_4^\ 7 + 79940250271065859087783668515/26902355120612417759965857*c_0101\ _4^6 - 303172737696360402315468628/2989150568956935306662873*c_0101\ _4^5 - 2616572846213656932234279575/26902355120612417759965857*c_01\ 01_4^4 - 22011643573663164859543937501/26902355120612417759965857*c\ _0101_4^3 + 5743687280777313969508579952/26902355120612417759965857\ *c_0101_4^2 + 601543785587952044197547419/2690235512061241775996585\ 7*c_0101_4 - 240013216296497843747385782/26902355120612417759965857\ , c_0101_2 + 14023273811887904867029282675/107609420482449671039863428*c_\ 0101_4^15 - 3724877176122026723390982280/26902355120612417759965857\ *c_0101_4^14 - 15610730634288206153868934733/1076094204824496710398\ 63428*c_0101_4^13 + 13948585410203249317660239632/26902355120612417\ 759965857*c_0101_4^12 - 274620502549966889901370999361/107609420482\ 449671039863428*c_0101_4^11 - 67792498086464240346065926841/5380471\ 0241224835519931714*c_0101_4^10 - 1155073645585374342321198993143/1\ 07609420482449671039863428*c_0101_4^9 - 953801730805444712742723905521/107609420482449671039863428*c_0101_4\ ^8 - 1501692965010234410628177499955/107609420482449671039863428*c_\ 0101_4^7 - 540200142222622033757847557563/1076094204824496710398634\ 28*c_0101_4^6 + 1399607482160820848099943705/5978301137913870613325\ 746*c_0101_4^5 + 10551709933906230099642791915/53804710241224835519\ 931714*c_0101_4^4 + 37923320605488093615342608383/26902355120612417\ 759965857*c_0101_4^3 - 38931106841134132504623517639/10760942048244\ 9671039863428*c_0101_4^2 - 4522167649460918580991565999/10760942048\ 2449671039863428*c_0101_4 + 1654348563233952132720063397/1076094204\ 82449671039863428, c_0101_3 + 7557630306790836716819500475/107609420482449671039863428*c_0\ 101_4^15 - 3938985727039315273700139895/53804710241224835519931714*\ c_0101_4^14 - 8580371177015526913161948511/107609420482449671039863\ 428*c_0101_4^13 + 7475082505081458912648060394/26902355120612417759\ 965857*c_0101_4^12 - 147386401733151641750729835589/107609420482449\ 671039863428*c_0101_4^11 - 19014886590336758557503762704/2690235512\ 0612417759965857*c_0101_4^10 - 623887036489229242035604483573/10760\ 9420482449671039863428*c_0101_4^9 - 526378202456693610251302849805/107609420482449671039863428*c_0101_4\ ^8 - 819077107728014679630716446777/107609420482449671039863428*c_0\ 101_4^7 - 306484249359058356098032029995/10760942048244967103986342\ 8*c_0101_4^6 + 245658614506340890723035364/298915056895693530666287\ 3*c_0101_4^5 + 3129872497275227823652168208/26902355120612417759965\ 857*c_0101_4^4 + 41095619948380214593485721795/53804710241224835519\ 931714*c_0101_4^3 - 19453361120428261435579914953/10760942048244967\ 1039863428*c_0101_4^2 - 3043988435088858766798617271/10760942048244\ 9671039863428*c_0101_4 + 843141430176809001684836231/10760942048244\ 9671039863428, c_0101_4^16 - 7/5*c_0101_4^15 - 19/25*c_0101_4^14 + 109/25*c_0101_4^13 - 523/25*c_0101_4^12 - 77/25*c_0101_4^11 - 79*c_0101_4^10 - 1004/25*c_0101_4^9 - 2092/25*c_0101_4^8 - 2*c_0101_4^7 + 77/5*c_0101_4^6 + 28/25*c_0101_4^5 + 258/25*c_0101_4^4 - 161/25*c_0101_4^3 + 14/25*c_0101_4^2 + 6/25*c_0101_4 - 1/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB