Magma V2.19-8 Tue Aug 20 2013 16:16:41 on localhost [Seed = 1983376060] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0975 geometric_solution 4.87027223 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 1 0 0 -1 -1 2 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.922940568130 0.594273578864 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 1 -1 0 -1 0 0 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.109372042250 1.248673705173 4 3 1 3 0132 2031 0132 3012 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 -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 0.770079596538 0.648914929178 2 4 2 1 1302 2310 1230 0132 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 -1 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 0.770079596538 0.648914929178 2 5 5 3 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343808081411 0.221174122720 4 4 6 6 2310 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804815324615 2.678195734692 6 5 6 5 2310 2310 3201 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 -1 0 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.479843858059 0.356845375982 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} 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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 4939948036811047328152295224399/2470697714460187845364989868*c_0101\ _1*c_0101_5^13 + 29810714643104194083770067042269/24706977144601878\ 45364989868*c_0101_1*c_0101_5^12 - 152620973512270829305891226318017/1235348857230093922682494934*c_01\ 01_1*c_0101_5^11 - 1285058071458382821686611928985027/2470697714460\ 187845364989868*c_0101_1*c_0101_5^10 + 553173053550118635072657062477213/1235348857230093922682494934*c_01\ 01_1*c_0101_5^9 + 1065112872113505609302049851828315/24706977144601\ 87845364989868*c_0101_1*c_0101_5^8 + 455220642878370722335253126858988/617674428615046961341247467*c_010\ 1_1*c_0101_5^7 + 15515745737273195613897496226856463/24706977144601\ 87845364989868*c_0101_1*c_0101_5^6 - 7395385442019670253629929866554923/2470697714460187845364989868*c_0\ 101_1*c_0101_5^5 - 13116143006559713716377449747270591/247069771446\ 0187845364989868*c_0101_1*c_0101_5^4 + 841120758078550814190382572298177/617674428615046961341247467*c_010\ 1_1*c_0101_5^3 + 801064709038450793208095079526225/2470697714460187\ 845364989868*c_0101_1*c_0101_5^2 + 592894791600124825866606275257151/2470697714460187845364989868*c_01\ 01_1*c_0101_5 + 35039568124572383828392844717671/617674428615046961\ 341247467*c_0101_1, c_0011_0 - 1, c_0011_2 + 838358274002992799130249/95026835171545686360191918*c_0101_1\ *c_0101_5^13 + 2646658303380310300362389/47513417585772843180095959\ *c_0101_1*c_0101_5^12 - 50397877582869611898860865/9502683517154568\ 6360191918*c_0101_1*c_0101_5^11 - 232493475827309647237609851/95026\ 835171545686360191918*c_0101_1*c_0101_5^10 + 128090660118973730365089623/95026835171545686360191918*c_0101_1*c_0\ 101_5^9 + 228874852967966248859173445/95026835171545686360191918*c_\ 0101_1*c_0101_5^8 + 325214180242210220717179331/9502683517154568636\ 0191918*c_0101_1*c_0101_5^7 + 2725181099349579732726176083/95026835\ 171545686360191918*c_0101_1*c_0101_5^6 - 248625083661415076410708669/47513417585772843180095959*c_0101_1*c_0\ 101_5^5 - 1279191492919427207796783820/47513417585772843180095959*c\ _0101_1*c_0101_5^4 + 343851003791019399456991753/950268351715456863\ 60191918*c_0101_1*c_0101_5^3 + 341123698866675042031129511/95026835\ 171545686360191918*c_0101_1*c_0101_5^2 - 34692661463784082117586984/47513417585772843180095959*c_0101_1*c_01\ 01_5 + 28938753300042518106637459/95026835171545686360191918*c_0101\ _1, c_0011_6 + 664759642397768210274923/95026835171545686360191918*c_0101_1\ *c_0101_5^13 + 3601152199282620056072567/95026835171545686360191918\ *c_0101_1*c_0101_5^12 - 21692381894109563697301496/4751341758577284\ 3180095959*c_0101_1*c_0101_5^11 - 146684054608925307225177875/95026\ 835171545686360191918*c_0101_1*c_0101_5^10 + 122330258994995812428527760/47513417585772843180095959*c_0101_1*c_0\ 101_5^9 + 16642285176069084900925615/95026835171545686360191918*c_0\ 101_1*c_0101_5^8 + 108627863762608099488399622/47513417585772843180\ 095959*c_0101_1*c_0101_5^7 + 1906595056413342733274861953/950268351\ 71545686360191918*c_0101_1*c_0101_5^6 - 2202939509069206144849236405/95026835171545686360191918*c_0101_1*c_\ 0101_5^5 - 685841574356531441348880751/95026835171545686360191918*c\ _0101_1*c_0101_5^4 + 474519787244654858987526458/475134175857728431\ 80095959*c_0101_1*c_0101_5^3 + 61004738130449104937371771/950268351\ 71545686360191918*c_0101_1*c_0101_5^2 + 27139799437543695751293463/95026835171545686360191918*c_0101_1*c_01\ 01_5 - 5925927365278367566456242/47513417585772843180095959*c_0101_\ 1, c_0101_0 - 2344971751671159416621513/47513417585772843180095959*c_0101_\ 5^13 - 13750731066884360448212661/47513417585772843180095959*c_0101\ _5^12 + 147116785715009571377789297/47513417585772843180095959*c_01\ 01_5^11 + 584084178371006079787725882/47513417585772843180095959*c_\ 0101_5^10 - 617316824710769050180239816/47513417585772843180095959*\ c_0101_5^9 - 364517149450116796099394251/47513417585772843180095959\ *c_0101_5^8 - 816555442939173236719440477/4751341758577284318009595\ 9*c_0101_5^7 - 7252970004623122366768194559/47513417585772843180095\ 959*c_0101_5^6 + 4688244074687769203377417579/475134175857728431800\ 95959*c_0101_5^5 + 5010674056299597002565282566/4751341758577284318\ 0095959*c_0101_5^4 - 2432189174182576951098600520/47513417585772843\ 180095959*c_0101_5^3 + 309128101475474727089203127/4751341758577284\ 3180095959*c_0101_5^2 - 301535678695313037364960994/475134175857728\ 43180095959*c_0101_5 - 16274773351553723425572075/47513417585772843\ 180095959, c_0101_1^2 + 2344971751671159416621513/47513417585772843180095959*c_010\ 1_5^13 + 13750731066884360448212661/47513417585772843180095959*c_01\ 01_5^12 - 147116785715009571377789297/47513417585772843180095959*c_\ 0101_5^11 - 584084178371006079787725882/47513417585772843180095959*\ c_0101_5^10 + 617316824710769050180239816/4751341758577284318009595\ 9*c_0101_5^9 + 364517149450116796099394251/475134175857728431800959\ 59*c_0101_5^8 + 816555442939173236719440477/47513417585772843180095\ 959*c_0101_5^7 + 7252970004623122366768194559/475134175857728431800\ 95959*c_0101_5^6 - 4688244074687769203377417579/4751341758577284318\ 0095959*c_0101_5^5 - 5010674056299597002565282566/47513417585772843\ 180095959*c_0101_5^4 + 2432189174182576951098600520/475134175857728\ 43180095959*c_0101_5^3 - 309128101475474727089203127/47513417585772\ 843180095959*c_0101_5^2 + 301535678695313037364960994/4751341758577\ 2843180095959*c_0101_5 - 31238644234219119754523884/475134175857728\ 43180095959, c_0101_4 - 714157245226006551888820/47513417585772843180095959*c_0101_5\ ^13 - 4029118958579385421102865/47513417585772843180095959*c_0101_5\ ^12 + 45846642125666311234040457/47513417585772843180095959*c_0101_\ 5^11 + 168620051355386991599300537/47513417585772843180095959*c_010\ 1_5^10 - 234338952329115568982686252/47513417585772843180095959*c_0\ 101_5^9 - 99119782885395361142407634/47513417585772843180095959*c_0\ 101_5^8 - 204126476485645606766886042/47513417585772843180095959*c_\ 0101_5^7 - 2134233299605532463464185288/47513417585772843180095959*\ c_0101_5^6 + 1966016823040149223340761857/4751341758577284318009595\ 9*c_0101_5^5 + 1572646843732091045327351786/47513417585772843180095\ 959*c_0101_5^4 - 1204899300476172628177329983/475134175857728431800\ 95959*c_0101_5^3 + 44761498601599237647623116/475134175857728431800\ 95959*c_0101_5^2 - 90248165174727445874722033/475134175857728431800\ 95959*c_0101_5 - 2695939793382323621774067/475134175857728431800959\ 59, c_0101_5^14 + 6*c_0101_5^13 - 62*c_0101_5^12 - 258*c_0101_5^11 + 233*c_0101_5^10 + 208*c_0101_5^9 + 361*c_0101_5^8 + 3128*c_0101_5^7 - 1606*c_0101_5^6 - 2605*c_0101_5^5 + 774*c_0101_5^4 + 140*c_0101_5^3 + 114*c_0101_5^2 + 24*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB