Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 1612840212] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2907 geometric_solution 6.11308841 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 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 0.707496261214 1.039047399945 0 5 5 2 0132 0132 3201 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 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 0.279724077314 0.537538854176 1 0 5 3 3201 0132 3120 1302 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 -0.215317317446 1.444750721645 5 4 2 0 3012 3120 2031 0132 0 0 0 0 0 0 1 -1 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 0 0 0 1 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 0.552265860180 0.657553996185 6 3 0 6 0132 3120 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834009069671 0.532070446269 1 1 2 3 2310 0132 3120 1230 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 1 -1 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 0.238210869754 1.463911366259 4 6 6 4 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.231943491195 0.371385781832 ==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_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' : 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_4']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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_1001_5' : negation(d['c_0110_2']), 'c_1001_4' : d['c_0110_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : d['c_0110_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : d['c_0110_2']})} 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_3, c_0011_4, c_0101_0, c_0101_3, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 324078475991423778393/256036064647324192*c_0110_2^18 + 1512371521613347207069/256036064647324192*c_0110_2^17 - 329212322811142102759/36576580663903456*c_0110_2^16 + 239461899721685364301/256036064647324192*c_0110_2^15 + 3082338738121232004189/256036064647324192*c_0110_2^14 + 2699039607055772089057/128018032323662096*c_0110_2^13 - 16238568386834453063713/256036064647324192*c_0110_2^12 + 748384112802103709307/23276005877029472*c_0110_2^11 + 24982423926807934514405/256036064647324192*c_0110_2^10 - 18863406532219099037415/128018032323662096*c_0110_2^9 - 78881298257279459947659/256036064647324192*c_0110_2^8 + 92792896861287754673895/256036064647324192*c_0110_2^7 + 134544895338253787918967/256036064647324192*c_0110_2^6 - 56380646403704620546403/128018032323662096*c_0110_2^5 - 263845146593043279413/611064593430368*c_0110_2^4 + 16252250043220702167187/64009016161831048*c_0110_2^3 + 23385269623311451713085/128018032323662096*c_0110_2^2 - 15327365566027190845937/256036064647324192*c_0110_2 - 9229461512125189794955/256036064647324192, c_0011_0 - 1, c_0011_3 + 2687821567845021/38282904403009*c_0110_2^18 - 12544982624526945/38282904403009*c_0110_2^17 + 2732034052463081/5468986343287*c_0110_2^16 - 2013653946269592/38282904403009*c_0110_2^15 - 25538064290673093/38282904403009*c_0110_2^14 - 44762902291759093/38282904403009*c_0110_2^13 + 134687856019641877/38282904403009*c_0110_2^12 - 68421181682433033/38282904403009*c_0110_2^11 - 206994061235114785/38282904403009*c_0110_2^10 + 312919468456583157/38282904403009*c_0110_2^9 + 653836490925777799/38282904403009*c_0110_2^8 - 769695196877033066/38282904403009*c_0110_2^7 - 1114673454092838635/38282904403009*c_0110_2^6 + 935093493223780445/38282904403009*c_0110_2^5 + 2184340987018479/91367313611*c_0110_2^4 - 538902332914802321/38282904403009*c_0110_2^3 - 386868029210740484/38282904403009*c_0110_2^2 + 126959356392583370/38282904403009*c_0110_2 + 76299685851703831/38282904403009, c_0011_4 - 9564013288701283/153131617612036*c_0110_2^18 + 44630114155642111/153131617612036*c_0110_2^17 - 9713869577339089/21875945373148*c_0110_2^16 + 7050487903014987/153131617612036*c_0110_2^15 + 90947507320192423/153131617612036*c_0110_2^14 + 79688873685643093/76565808806018*c_0110_2^13 - 479245320351417999/153131617612036*c_0110_2^12 + 242806317580445919/153131617612036*c_0110_2^11 + 737265726876801439/153131617612036*c_0110_2^10 - 556482550355033649/76565808806018*c_0110_2^9 - 2328616913362777313/153131617612036*c_0110_2^8 + 2737957923664804501/153131617612036*c_0110_2^7 + 3972068394580334729/153131617612036*c_0110_2^6 - 1663067347850909519/76565808806018*c_0110_2^5 - 7792692802022795/365469254444*c_0110_2^4 + 479392007906917104/38282904403009*c_0110_2^3 + 691073048169622577/76565808806018*c_0110_2^2 - 452149826436921527/153131617612036*c_0110_2 - 272930052031763377/153131617612036, c_0101_0 - 1793696353146861/38282904403009*c_0110_2^18 + 8372952095861483/38282904403009*c_0110_2^17 - 1823562888235668/5468986343287*c_0110_2^16 + 1340151387777117/38282904403009*c_0110_2^15 + 17056993768676390/38282904403009*c_0110_2^14 + 29862814873686058/38282904403009*c_0110_2^13 - 89923754225193201/38282904403009*c_0110_2^12 + 45661166142317189/38282904403009*c_0110_2^11 + 138211066546656792/38282904403009*c_0110_2^10 - 208954232352473942/38282904403009*c_0110_2^9 - 436405322464250462/38282904403009*c_0110_2^8 + 514146416021244091/38282904403009*c_0110_2^7 + 744258161906783954/38282904403009*c_0110_2^6 - 624882884814454332/38282904403009*c_0110_2^5 - 1459363998201952/91367313611*c_0110_2^4 + 360346366650175354/38282904403009*c_0110_2^3 + 258662613216989399/38282904403009*c_0110_2^2 - 84969608218997429/38282904403009*c_0110_2 - 51030326884652390/38282904403009, c_0101_3 - 1, c_0101_6 - 2518848663910791/76565808806018*c_0110_2^18 + 11796376627270827/76565808806018*c_0110_2^17 - 2590250917080667/10937972686574*c_0110_2^16 + 2301570423750849/76565808806018*c_0110_2^15 + 23624680510711389/76565808806018*c_0110_2^14 + 20900696403668017/38282904403009*c_0110_2^13 - 126810523297080327/76565808806018*c_0110_2^12 + 66400234578160023/76565808806018*c_0110_2^11 + 191471231651796491/76565808806018*c_0110_2^10 - 147270309575662279/38282904403009*c_0110_2^9 - 607541574321096885/76565808806018*c_0110_2^8 + 727456819332517751/76565808806018*c_0110_2^7 + 1030365907860029205/76565808806018*c_0110_2^6 - 441260525654306678/38282904403009*c_0110_2^5 - 2008466727735555/182734627222*c_0110_2^4 + 253156909477123082/38282904403009*c_0110_2^3 + 177504799416172619/38282904403009*c_0110_2^2 - 118722510650501251/76565808806018*c_0110_2 - 70186197978985461/76565808806018, c_0110_2^19 - 4*c_0110_2^18 + 4*c_0110_2^17 + 4*c_0110_2^16 - 10*c_0110_2^15 - 23*c_0110_2^14 + 39*c_0110_2^13 + 8*c_0110_2^12 - 94*c_0110_2^11 + 65*c_0110_2^10 + 321*c_0110_2^9 - 124*c_0110_2^8 - 606*c_0110_2^7 + 71*c_0110_2^6 + 573*c_0110_2^5 + 27*c_0110_2^4 - 278*c_0110_2^3 - 49*c_0110_2^2 + 60*c_0110_2 + 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB