Magma V2.19-8 Tue Aug 20 2013 18:13:22 on localhost [Seed = 4155920291] Type ? for help. Type -D to quit. Loading file "10^3_43__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_43 geometric_solution 14.39033197 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 2 0132 0132 0132 0213 1 0 1 0 0 0 0 0 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 0 -1 1 1 0 1 -2 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191685919224 0.629283941769 0 4 6 5 0132 0132 0132 0132 1 0 0 1 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 -1 0 0 1 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768707515143 1.788638681814 7 0 4 0 0132 0132 1230 0213 1 1 0 1 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 1 -1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191685919224 0.629283941769 8 9 10 0 0132 0132 0132 0132 1 0 0 1 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 -1 0 1 0 0 1 -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 0.578812388293 0.728177211387 7 1 10 2 1023 0132 3201 3012 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 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 0.599362084896 1.148028901134 11 9 1 12 0132 1023 0132 0132 1 0 1 0 0 -1 0 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 -1 1 0 -1 0 1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414400800455 0.769689669206 7 9 8 1 2310 1302 0132 0132 1 0 1 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 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 0.518276524116 0.462860543491 2 4 6 10 0132 1023 3201 2031 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 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 0.084544844553 0.912630296195 3 13 14 6 0132 0132 0132 0132 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414400800455 0.769689669206 5 3 10 6 1023 0132 0321 2031 1 1 1 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 0 1 0 -1 -1 0 1 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 0.792268968708 1.219568936551 4 7 9 3 2310 1302 0321 0132 1 0 1 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956719706419 0.463539695214 5 13 13 14 0132 1023 1230 3120 2 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 0 0 0 0 0 0 0 0 0 1 0 -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 0.430497962356 0.884324470169 14 13 5 14 1230 0213 0132 0132 1 0 2 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 0 0 0 0 1 -1 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430497962356 0.884324470169 11 8 12 11 1023 0132 0213 3012 1 2 0 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 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 0.430497962356 0.884324470169 11 12 12 8 3120 3012 0132 0132 1 0 0 2 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 -1 1 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 0.430497962356 0.884324470169 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_14' : negation(d['c_0011_12']), 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_2'], 'c_1001_13' : d['c_0110_9'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0110_9'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_13' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_14']), 'c_1010_10' : d['c_0011_6'], 'c_1010_14' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0011_14'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_14'], 'c_1100_9' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0011_10'], 'c_1100_14' : d['c_1100_1'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_14']), 'c_1100_10' : d['c_1001_0'], 'c_1100_13' : negation(d['c_0011_12']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0110_9'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0110_9'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0011_12'], '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_3'], 'c_0110_13' : negation(d['c_0011_14']), 'c_0110_12' : d['c_0011_14'], 'c_0110_14' : d['c_0101_0'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0011_7' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : negation(d['1']), 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_3']), '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_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_0'], 's_1_14' : negation(d['1']), 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1100_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_14, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0110_9, c_1001_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 2387929986626493239/783943188174848*c_1100_1^12 - 35439282000018910591/4703659129049088*c_1100_1^11 - 24238648402238267371/1567886376349696*c_1100_1^10 + 12700161988216862893/4703659129049088*c_1100_1^9 + 38589246457731389595/1567886376349696*c_1100_1^8 + 127948839562157738399/1175914782262272*c_1100_1^7 + 55033710888306463955/180909966501888*c_1100_1^6 - 5205893721128439803/195985797043712*c_1100_1^5 - 519668147754581534429/1567886376349696*c_1100_1^4 - 77448052483184624819/1175914782262272*c_1100_1^3 + 28924724991821093163/195985797043712*c_1100_1^2 + 177216949965154575881/2351829564524544*c_1100_1 - 103733249290536573961/4703659129049088, c_0011_0 - 1, c_0011_10 - 1120253824717/1531139039404*c_1100_1^12 + 6079958188951/3062278078808*c_1100_1^11 + 9408170675785/3062278078808*c_1100_1^10 - 2578888654053/3062278078808*c_1100_1^9 - 16348292877765/3062278078808*c_1100_1^8 - 19364262515571/765569519702*c_1100_1^7 - 8004976004757/117779926108*c_1100_1^6 + 13531431950685/765569519702*c_1100_1^5 + 193635900331007/3062278078808*c_1100_1^4 + 4706198503882/382784759851*c_1100_1^3 - 23320884418153/765569519702*c_1100_1^2 - 19390724205579/1531139039404*c_1100_1 + 6738521563433/3062278078808, c_0011_11 - c_1100_1, c_0011_12 - 1, c_0011_14 - 7254402961909/3062278078808*c_1100_1^12 + 34491039596887/6124556157616*c_1100_1^11 + 76637425377905/6124556157616*c_1100_1^10 - 4651713729055/6124556157616*c_1100_1^9 - 116279301140765/6124556157616*c_1100_1^8 - 132439566025911/1531139039404*c_1100_1^7 - 14441219462669/58889963054*c_1100_1^6 - 14497868280127/3062278078808*c_1100_1^5 + 1545079562888143/6124556157616*c_1100_1^4 + 233067305526841/3062278078808*c_1100_1^3 - 159140122886683/1531139039404*c_1100_1^2 - 52625357171839/765569519702*c_1100_1 + 57417846929355/6124556157616, c_0011_6 + 1052957503561/1531139039404*c_1100_1^12 - 6137993920663/3062278078808*c_1100_1^11 - 7346060645335/3062278078808*c_1100_1^10 + 3069381848449/3062278078808*c_1100_1^9 + 14093931291851/3062278078808*c_1100_1^8 + 17602939752383/765569519702*c_1100_1^7 + 7029835207585/117779926108*c_1100_1^6 - 9896640460212/382784759851*c_1100_1^5 - 145300067769423/3062278078808*c_1100_1^4 - 9655483280405/1531139039404*c_1100_1^3 + 40799491527367/1531139039404*c_1100_1^2 + 5016517901771/765569519702*c_1100_1 - 2535397640263/3062278078808, c_0101_0 - 1, c_0101_1 + 1033347437829/1531139039404*c_1100_1^12 - 4993976745639/3062278078808*c_1100_1^11 - 10649055342773/3062278078808*c_1100_1^10 + 815347630433/3062278078808*c_1100_1^9 + 16461821807165/3062278078808*c_1100_1^8 + 18751496657187/765569519702*c_1100_1^7 + 8132031011293/117779926108*c_1100_1^6 - 530030639601/765569519702*c_1100_1^5 - 215295744236775/3062278078808*c_1100_1^4 - 16124546473579/765569519702*c_1100_1^3 + 23103826229989/765569519702*c_1100_1^2 + 28243794895129/1531139039404*c_1100_1 - 9361950297009/3062278078808, c_0101_10 - 924211220427/765569519702*c_1100_1^12 + 4269578310007/1531139039404*c_1100_1^11 + 2549436388141/382784759851*c_1100_1^10 - 362650551897/1531139039404*c_1100_1^9 - 7628206978277/765569519702*c_1100_1^8 - 17048755421450/382784759851*c_1100_1^7 - 7503647503681/58889963054*c_1100_1^6 - 6095311938913/765569519702*c_1100_1^5 + 207903186308887/1531139039404*c_1100_1^4 + 65697584690193/1531139039404*c_1100_1^3 - 83988835198971/1531139039404*c_1100_1^2 - 56775041733265/1531139039404*c_1100_1 + 4250630119897/765569519702, c_0101_11 - 2063268748297/1531139039404*c_1100_1^12 + 9575539301475/3062278078808*c_1100_1^11 + 22611480763489/3062278078808*c_1100_1^10 - 979974577885/3062278078808*c_1100_1^9 - 33603184240833/3062278078808*c_1100_1^8 - 37925490652813/765569519702*c_1100_1^7 - 16706497732833/117779926108*c_1100_1^6 - 6194402269617/765569519702*c_1100_1^5 + 456286179903059/3062278078808*c_1100_1^4 + 33982636472581/765569519702*c_1100_1^3 - 45753841798279/765569519702*c_1100_1^2 - 62539777731753/1531139039404*c_1100_1 + 17881665209373/3062278078808, c_0101_2 - 109247754959/117779926108*c_1100_1^12 + 562140882925/235559852216*c_1100_1^11 + 1013493684115/235559852216*c_1100_1^10 - 165349386707/235559852216*c_1100_1^9 - 1657320512803/235559852216*c_1100_1^8 - 1930767615265/58889963054*c_1100_1^7 - 818762130623/9059994316*c_1100_1^6 + 695732370341/58889963054*c_1100_1^5 + 20495126924565/235559852216*c_1100_1^4 + 647662459651/29444981527*c_1100_1^3 - 1168426728897/29444981527*c_1100_1^2 - 2414823208741/117779926108*c_1100_1 + 660853834639/235559852216, c_0101_3 + 924211220427/765569519702*c_1100_1^12 - 4269578310007/1531139039404*c_1100_1^11 - 2549436388141/382784759851*c_1100_1^10 + 362650551897/1531139039404*c_1100_1^9 + 7628206978277/765569519702*c_1100_1^8 + 17048755421450/382784759851*c_1100_1^7 + 7503647503681/58889963054*c_1100_1^6 + 6095311938913/765569519702*c_1100_1^5 - 207903186308887/1531139039404*c_1100_1^4 - 65697584690193/1531139039404*c_1100_1^3 + 83988835198971/1531139039404*c_1100_1^2 + 56775041733265/1531139039404*c_1100_1 - 4250630119897/765569519702, c_0110_9 - 125798277209/1531139039404*c_1100_1^12 - 998345677701/3062278078808*c_1100_1^11 + 6518694707069/3062278078808*c_1100_1^10 + 3728448853787/3062278078808*c_1100_1^9 - 5574349764349/3062278078808*c_1100_1^8 - 4638949274589/765569519702*c_1100_1^7 - 2932764502917/117779926108*c_1100_1^6 - 30663159299949/765569519702*c_1100_1^5 + 126634556587307/3062278078808*c_1100_1^4 + 10247497049903/382784759851*c_1100_1^3 - 3026700257694/382784759851*c_1100_1^2 - 31728104961663/1531139039404*c_1100_1 + 6424115832945/3062278078808, c_1001_0 - 791925517807/765569519702*c_1100_1^12 + 3856935683369/1531139039404*c_1100_1^11 + 8091531330113/1531139039404*c_1100_1^10 - 775386633985/1531139039404*c_1100_1^9 - 12623624456371/1531139039404*c_1100_1^8 - 14329884987852/382784759851*c_1100_1^7 - 6189224972443/58889963054*c_1100_1^6 + 1153601206815/382784759851*c_1100_1^5 + 165571494821609/1531139039404*c_1100_1^4 + 23768921898271/765569519702*c_1100_1^3 - 17540406495419/382784759851*c_1100_1^2 - 10640015744276/382784759851*c_1100_1 + 6265334652579/1531139039404, c_1100_1^13 - 5/2*c_1100_1^12 - 5*c_1100_1^11 + c_1100_1^10 + 8*c_1100_1^9 + 71/2*c_1100_1^8 + 99*c_1100_1^7 - 11*c_1100_1^6 - 215/2*c_1100_1^5 - 37/2*c_1100_1^4 + 48*c_1100_1^3 + 23*c_1100_1^2 - 15/2*c_1100_1 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB