Magma V2.19-8 Wed Aug 21 2013 00:50:58 on localhost [Seed = 1562069072] Type ? for help. Type -D to quit. Loading file "L10a96__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a96 geometric_solution 11.83429528 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 2031 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 0 0 0 0 0 0 1 0 -1 0 0 0 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 0.334386266113 0.954279241661 0 4 2 5 0132 0132 1023 0132 0 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 -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 -0.017594054709 0.611053213001 6 0 1 7 0132 0132 1023 0132 0 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 0 0 0 0 0 0 0 0 -1 1 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 0.129033447044 1.291327817421 7 0 7 0 0132 1302 3012 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672960047396 0.933314162665 8 1 9 10 0132 0132 0132 0132 0 1 1 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 0 0 0 0 0 -1 1 0 1 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 0.807216699162 0.496721168418 6 11 1 7 2103 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 1 0 -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 -0.494437055221 1.144341016178 2 8 5 11 0132 0132 2103 3012 1 0 1 0 0 0 0 0 -1 0 0 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 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 0 0 0 0 0.609013960810 0.681982958655 3 3 2 5 0132 1230 0132 1023 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 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 0.334386266113 0.954279241661 4 6 12 11 0132 0132 0132 3120 1 1 0 1 0 0 0 0 1 0 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 1 -1 0 -1 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 1.199153790336 0.794506828213 12 10 12 4 1230 0321 3120 0132 0 1 0 1 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 0 1 -1 -1 0 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786341810020 0.596962361693 12 11 4 9 0132 0321 0132 0321 0 1 0 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 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 1.298638909019 1.040449584992 8 5 6 10 3120 0132 1230 0321 0 1 0 1 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249197961103 0.722462195701 10 9 9 8 0132 3012 3120 0132 1 1 1 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 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 0.193245281509 0.612459106104 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_0_11' : 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_0101_10'], '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_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' : d['1'], 's_0_7' : 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_9' : d['c_0011_9'], 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_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' : negation(d['c_0101_11']), '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' : 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' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_1001_0, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 957985176376790/39710095825757*c_1100_1^14 - 5063668413918636/39710095825757*c_1100_1^13 + 116161785803702/5672870832251*c_1100_1^12 - 23420105404790728/39710095825757*c_1100_1^11 - 54456072024924634/39710095825757*c_1100_1^10 + 24925051565561810/5672870832251*c_1100_1^9 + 134450656659186780/39710095825757*c_1100_1^8 - 375164799482827364/39710095825757*c_1100_1^7 - 290414097800468/131927228657*c_1100_1^6 + 366040928261921480/39710095825757*c_1100_1^5 - 27328977544244142/39710095825757*c_1100_1^4 - 164895664577288940/39710095825757*c_1100_1^3 + 691449471706685/673052471623*c_1100_1^2 + 712747959943528/923490600599*c_1100_1 - 11984328405426350/39710095825757, c_0011_0 - 1, c_0011_10 - 2157166195466/32210368284815*c_1100_1^14 + 410867451932/920296236709*c_1100_1^13 - 21518787840184/32210368284815*c_1100_1^12 + 11811376497464/4601481183545*c_1100_1^11 + 2698476825586/32210368284815*c_1100_1^10 - 403516935750658/32210368284815*c_1100_1^9 + 230634070914486/32210368284815*c_1100_1^8 + 527230371650594/32210368284815*c_1100_1^7 - 3775146074106/749078332205*c_1100_1^6 - 12333523049014/32210368284815*c_1100_1^5 - 285811312574342/32210368284815*c_1100_1^4 - 54608586151484/4601481183545*c_1100_1^3 + 49036807278268/4601481183545*c_1100_1^2 + 591380360626/107011190315*c_1100_1 - 76313467807883/32210368284815, c_0011_11 + 143249367534214/1900411728804085*c_1100_1^14 - 20200125929022/54297477965831*c_1100_1^13 - 289975741542554/1900411728804085*c_1100_1^12 - 374280613065556/271487389829155*c_1100_1^11 - 10019359506797864/1900411728804085*c_1100_1^10 + 28005613188219762/1900411728804085*c_1100_1^9 + 34443323046139446/1900411728804085*c_1100_1^8 - 72912147020726446/1900411728804085*c_1100_1^7 - 910911400196026/44195621600095*c_1100_1^6 + 85116301461502246/1900411728804085*c_1100_1^5 + 14492072034407048/1900411728804085*c_1100_1^4 - 6832070065338454/271487389829155*c_1100_1^3 - 424010674368/4601481183545*c_1100_1^2 + 29956605750776/6313660228585*c_1100_1 + 537875956439097/1900411728804085, c_0011_3 + 48682935121234/1900411728804085*c_1100_1^14 - 4833478687964/54297477965831*c_1100_1^13 - 514463975171364/1900411728804085*c_1100_1^12 - 93731110839826/271487389829155*c_1100_1^11 - 4901734471154974/1900411728804085*c_1100_1^10 + 5857176078380362/1900411728804085*c_1100_1^9 + 29110042602650866/1900411728804085*c_1100_1^8 - 23841055166611786/1900411728804085*c_1100_1^7 - 1174235491197296/44195621600095*c_1100_1^6 + 44321577183136816/1900411728804085*c_1100_1^5 + 32424162465126678/1900411728804085*c_1100_1^4 - 4942431768515744/271487389829155*c_1100_1^3 - 13507233650998/4601481183545*c_1100_1^2 + 35085477637696/6313660228585*c_1100_1 - 434499253272113/1900411728804085, c_0011_9 + 528103857400688/1900411728804085*c_1100_1^14 - 43318073413302/54297477965831*c_1100_1^13 - 5484789830845488/1900411728804085*c_1100_1^12 - 2203766749845362/271487389829155*c_1100_1^11 - 64050241457471258/1900411728804085*c_1100_1^10 + 4653673607624134/1900411728804085*c_1100_1^9 + 242335060658250272/1900411728804085*c_1100_1^8 + 84480551291659408/1900411728804085*c_1100_1^7 - 7459540998477042/44195621600095*c_1100_1^6 - 124390563385903298/1900411728804085*c_1100_1^5 + 195829876134693866/1900411728804085*c_1100_1^4 + 8221103509906602/271487389829155*c_1100_1^3 - 134906618757856/4601481183545*c_1100_1^2 - 22195696305308/6313660228585*c_1100_1 + 6668829116799029/1900411728804085, c_0101_0 - 1, c_0101_10 - 2036280961274324/9502058644020425*c_1100_1^14 + 293374876874292/271487389829155*c_1100_1^13 + 2058247933691574/9502058644020425*c_1100_1^12 + 6472710325602786/1357436949145775*c_1100_1^11 + 121039461872221714/9502058644020425*c_1100_1^10 - 385328350511183102/9502058644020425*c_1100_1^9 - 500699246546773546/9502058644020425*c_1100_1^8 + 720201347930909666/9502058644020425*c_1100_1^7 + 15836848006267406/220978108000475*c_1100_1^6 - 500275270833100076/9502058644020425*c_1100_1^5 - 343021293127041748/9502058644020425*c_1100_1^4 + 14043458600932424/1357436949145775*c_1100_1^3 + 99733156307068/23007405917725*c_1100_1^2 + 46765499065134/31568301142925*c_1100_1 - 1157465766787412/9502058644020425, c_0101_11 - 1886558343798904/9502058644020425*c_1100_1^14 + 265389991857722/271487389829155*c_1100_1^13 + 3614894049320154/9502058644020425*c_1100_1^12 + 5244061815936306/1357436949145775*c_1100_1^11 + 128902957084504094/9502058644020425*c_1100_1^10 - 355248910732056942/9502058644020425*c_1100_1^9 - 458482295125497766/9502058644020425*c_1100_1^8 + 892382315231200936/9502058644020425*c_1100_1^7 + 13301864580516026/220978108000475*c_1100_1^6 - 1030651499355891746/9502058644020425*c_1100_1^5 - 297936489511190858/9502058644020425*c_1100_1^4 + 78887971627158604/1357436949145775*c_1100_1^3 + 94161967126878/23007405917725*c_1100_1^2 - 346603979411886/31568301142925*c_1100_1 + 15414360698526698/9502058644020425, c_0101_2 + 143249367534214/1900411728804085*c_1100_1^14 - 20200125929022/54297477965831*c_1100_1^13 - 289975741542554/1900411728804085*c_1100_1^12 - 374280613065556/271487389829155*c_1100_1^11 - 10019359506797864/1900411728804085*c_1100_1^10 + 28005613188219762/1900411728804085*c_1100_1^9 + 34443323046139446/1900411728804085*c_1100_1^8 - 72912147020726446/1900411728804085*c_1100_1^7 - 910911400196026/44195621600095*c_1100_1^6 + 85116301461502246/1900411728804085*c_1100_1^5 + 14492072034407048/1900411728804085*c_1100_1^4 - 6832070065338454/271487389829155*c_1100_1^3 - 424010674368/4601481183545*c_1100_1^2 + 29956605750776/6313660228585*c_1100_1 + 537875956439097/1900411728804085, c_0101_3 + 1, c_1001_0 + 14848584305486/380082345760817*c_1100_1^14 - 13308029715718/54297477965831*c_1100_1^13 + 92717946381920/380082345760817*c_1100_1^12 - 55202155107420/54297477965831*c_1100_1^11 - 512994339518624/380082345760817*c_1100_1^10 + 3592330091977656/380082345760817*c_1100_1^9 - 1029361616011586/380082345760817*c_1100_1^8 - 6768512462004340/380082345760817*c_1100_1^7 + 110139593915040/8839124320019*c_1100_1^6 + 4031212562915142/380082345760817*c_1100_1^5 - 4417101610690614/380082345760817*c_1100_1^4 - 32809725766568/54297477965831*c_1100_1^3 + 3133831582936/920296236709*c_1100_1^2 - 709220870331/1262732045717*c_1100_1 - 258375007957732/380082345760817, c_1001_4 - 1848486031060/380082345760817*c_1100_1^14 + 4192182114524/54297477965831*c_1100_1^13 - 134954232365606/380082345760817*c_1100_1^12 + 36604231063166/54297477965831*c_1100_1^11 - 644694520960148/380082345760817*c_1100_1^10 - 327843576160888/380082345760817*c_1100_1^9 + 3580877977517654/380082345760817*c_1100_1^8 - 1964418697654414/380082345760817*c_1100_1^7 - 113388695939514/8839124320019*c_1100_1^6 + 4321353716842976/380082345760817*c_1100_1^5 + 2201880600215236/380082345760817*c_1100_1^4 - 367445029631414/54297477965831*c_1100_1^3 + 1460536824160/920296236709*c_1100_1^2 + 879977290037/1262732045717*c_1100_1 - 738205764596352/380082345760817, c_1100_1^15 - 5*c_1100_1^14 - c_1100_1^13 - 23*c_1100_1^12 - 61*c_1100_1^11 + 173*c_1100_1^10 + 229*c_1100_1^9 - 384*c_1100_1^8 - 342*c_1100_1^7 + 424*c_1100_1^6 + 252*c_1100_1^5 - 257*c_1100_1^4 - 91*c_1100_1^3 + 84*c_1100_1^2 + 13*c_1100_1 - 25/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB