Magma V2.19-8 Tue Aug 20 2013 23:48:53 on localhost [Seed = 4190081895] Type ? for help. Type -D to quit. Loading file "K11a98__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11a98 geometric_solution 12.02171194 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 0 0 0 0 1.677904059643 1.287283626921 0 2 3 0 0132 3012 0132 0321 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499542405707 0.527252220946 1 4 5 0 1230 0132 0132 0132 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 -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 0.540590970350 0.696493656129 6 5 0 1 0132 2031 0132 0132 0 0 0 0 0 0 0 0 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 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 0.304564833470 0.895993844336 7 2 5 8 0132 0132 0321 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 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 0.200576691497 1.676290811113 3 7 4 2 1302 0132 0321 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669441498811 0.540294379470 3 9 10 10 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843751997168 0.812311602685 4 5 8 9 0132 0132 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.608171039652 0.642912805255 11 7 4 9 0132 0213 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321787593248 0.458865811156 7 6 8 12 3012 0132 2031 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 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 0.850029231872 0.913039099523 6 11 12 6 3120 0213 1230 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 0 0 0 1 0 -1 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 0.228344760410 1.187132602859 8 12 10 12 0132 1023 0213 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173329855589 1.350883465354 11 11 9 10 1023 0321 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 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 0.329577858421 0.538571862669 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_2'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_12'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_10'], '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' : negation(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' : negation(d['c_0101_12']), 'c_1100_8' : d['c_0101_9'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0101_9'], 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_0'], 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_0101_12'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_12']), '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_3'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_11']), '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' : d['c_0101_12'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_2, c_0011_3, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_9, c_1001_0, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 38 Groebner basis: [ t - 23093839517435/2501017317*c_1001_2^37 - 891724167404419/2501017317*c_1001_2^36 - 16239547131926362/2501017317*c_1001_2^35 - 61729510558774366/833672439*c_1001_2^34 - 493453444776673591/833672439*c_1001_2^33 - 8797929227179926239/2501017317*c_1001_2^32 - 369023655979157071/22945113*c_1001_2^31 - 144378406479751307047/2501017317*c_1001_2^30 - 411560004669490201703/2501017317*c_1001_2^29 - 936675555986867732653/2501017317*c_1001_2^28 - 189370257809310315307/277890813*c_1001_2^27 - 2480955345119040769085/2501017317*c_1001_2^26 - 2910637050710695416985/2501017317*c_1001_2^25 - 314878476217297005073/277890813*c_1001_2^24 - 2444947795747966523780/2501017317*c_1001_2^23 - 663761029713560634692/833672439*c_1001_2^22 - 490570182981370866860/833672439*c_1001_2^21 - 874938549256973287843/2501017317*c_1001_2^20 - 48252344970316219697/277890813*c_1001_2^19 - 268689283353307588201/2501017317*c_1001_2^18 - 5878848896394057895/92630271*c_1001_2^17 - 11738443617942103076/2501017317*c_1001_2^16 + 13177456311966566398/2501017317*c_1001_2^15 - 12643456017811955242/833672439*c_1001_2^14 - 7702659132056050657/2501017317*c_1001_2^13 + 21885537742841764033/2501017317*c_1001_2^12 - 9863477826271149553/2501017317*c_1001_2^11 - 349212256292547224/92630271*c_1001_2^10 + 1048435033730944333/277890813*c_1001_2^9 - 418336370390258783/833672439*c_1001_2^8 - 1191942631783094447/833672439*c_1001_2^7 + 101503427935131067/92630271*c_1001_2^6 - 403919213567875864/2501017317*c_1001_2^5 - 612956117059796420/2501017317*c_1001_2^4 + 500030711636722681/2501017317*c_1001_2^3 - 191257256700203995/2501017317*c_1001_2^2 + 34732183623711098/2501017317*c_1001_2 - 1942609696456349/2501017317, c_0011_0 - 1, c_0011_10 - c_1001_2^12 - 10*c_1001_2^11 - 39*c_1001_2^10 - 70*c_1001_2^9 - 45*c_1001_2^8 + 14*c_1001_2^7 - 32*c_1001_2^5 + 10*c_1001_2^4 + 12*c_1001_2^3 - 13*c_1001_2^2 + 6*c_1001_2 - 1, c_0011_11 + c_1001_2^31 + 28*c_1001_2^30 + 362*c_1001_2^29 + 2856*c_1001_2^28 + 15302*c_1001_2^27 + 58588*c_1001_2^26 + 164124*c_1001_2^25 + 338488*c_1001_2^24 + 510990*c_1001_2^23 + 560660*c_1001_2^22 + 463508*c_1001_2^21 + 350168*c_1001_2^20 + 298348*c_1001_2^19 + 207496*c_1001_2^18 + 60264*c_1001_2^17 + 16144*c_1001_2^16 + 56394*c_1001_2^15 + 15114*c_1001_2^14 - 31596*c_1001_2^13 + 12730*c_1001_2^12 + 18404*c_1001_2^11 - 17360*c_1001_2^10 + 1120*c_1001_2^9 + 9254*c_1001_2^8 - 6716*c_1001_2^7 + 792*c_1001_2^6 + 2032*c_1001_2^5 - 1788*c_1001_2^4 + 792*c_1001_2^3 - 208*c_1001_2^2 + 32*c_1001_2 - 2, c_0011_2 - c_1001_2^35 - 32*c_1001_2^34 - 478*c_1001_2^33 - 4416*c_1001_2^32 - 28174*c_1001_2^31 - 131220*c_1001_2^30 - 459684*c_1001_2^29 - 1229336*c_1001_2^28 - 2521439*c_1001_2^27 - 3958596*c_1001_2^26 - 4750370*c_1001_2^25 - 4448552*c_1001_2^24 - 3560456*c_1001_2^23 - 2823636*c_1001_2^22 - 2129320*c_1001_2^21 - 1151224*c_1001_2^20 - 419329*c_1001_2^19 - 336422*c_1001_2^18 - 272926*c_1001_2^17 + 28774*c_1001_2^16 + 41964*c_1001_2^15 - 100594*c_1001_2^14 - 2512*c_1001_2^13 + 46312*c_1001_2^12 - 33458*c_1001_2^11 - 4904*c_1001_2^10 + 17604*c_1001_2^9 - 10658*c_1001_2^8 + 1136*c_1001_2^7 + 2792*c_1001_2^6 - 2648*c_1001_2^5 + 1422*c_1001_2^4 - 559*c_1001_2^3 + 156*c_1001_2^2 - 28*c_1001_2 + 2, c_0011_3 - c_1001_2^3 - 2*c_1001_2^2, c_0101_1 - c_1001_2, c_0101_10 + c_1001_2^14 + 12*c_1001_2^13 + 59*c_1001_2^12 + 148*c_1001_2^11 + 186*c_1001_2^10 + 84*c_1001_2^9 - 5*c_1001_2^8 + 56*c_1001_2^7 + 50*c_1001_2^6 - 44*c_1001_2^5 + 2*c_1001_2^4 + 24*c_1001_2^3 - 20*c_1001_2^2 + 8*c_1001_2 - 1, c_0101_12 + c_1001_2^29 + 26*c_1001_2^28 + 310*c_1001_2^27 + 2236*c_1001_2^26 + 10829*c_1001_2^25 + 36906*c_1001_2^24 + 90050*c_1001_2^23 + 156676*c_1001_2^22 + 190234*c_1001_2^21 + 158116*c_1001_2^20 + 101596*c_1001_2^19 + 82936*c_1001_2^18 + 75173*c_1001_2^17 + 25994*c_1001_2^16 - 10214*c_1001_2^15 + 12148*c_1001_2^14 + 17002*c_1001_2^13 - 12308*c_1001_2^12 - 4196*c_1001_2^11 + 11728*c_1001_2^10 - 3730*c_1001_2^9 - 3860*c_1001_2^8 + 4780*c_1001_2^7 - 1456*c_1001_2^6 - 900*c_1001_2^5 + 1192*c_1001_2^4 - 632*c_1001_2^3 + 192*c_1001_2^2 - 31*c_1001_2 + 2, c_0101_2 - c_1001_2^36 - 34*c_1001_2^35 - 541*c_1001_2^34 - 5340*c_1001_2^33 - 36529*c_1001_2^32 - 183182*c_1001_2^31 - 694368*c_1001_2^30 - 2021064*c_1001_2^29 - 4541440*c_1001_2^28 - 7861304*c_1001_2^27 - 10427113*c_1001_2^26 - 10655196*c_1001_2^25 - 8884327*c_1001_2^24 - 7041730*c_1001_2^23 - 5710914*c_1001_2^22 - 3706736*c_1001_2^21 - 1400907*c_1001_2^20 - 669932*c_1001_2^19 - 900101*c_1001_2^18 - 234392*c_1001_2^17 + 358929*c_1001_2^16 - 147348*c_1001_2^15 - 254510*c_1001_2^14 + 204492*c_1001_2^13 + 34816*c_1001_2^12 - 149888*c_1001_2^11 + 70658*c_1001_2^10 + 29688*c_1001_2^9 - 53306*c_1001_2^8 + 24502*c_1001_2^7 + 2964*c_1001_2^6 - 10398*c_1001_2^5 + 6817*c_1001_2^4 - 2568*c_1001_2^3 + 595*c_1001_2^2 - 80*c_1001_2 + 5, c_0101_9 - c_1001_2^33 - 30*c_1001_2^32 - 418*c_1001_2^31 - 3580*c_1001_2^30 - 21013*c_1001_2^29 - 89166*c_1001_2^28 - 280990*c_1001_2^27 - 664500*c_1001_2^26 - 1177137*c_1001_2^25 - 1545734*c_1001_2^24 - 1494778*c_1001_2^23 - 1120508*c_1001_2^22 - 808450*c_1001_2^21 - 646076*c_1001_2^20 - 373660*c_1001_2^19 - 53736*c_1001_2^18 - 13509*c_1001_2^17 - 101908*c_1001_2^16 - 8846*c_1001_2^15 + 62610*c_1001_2^14 - 26862*c_1001_2^13 - 31756*c_1001_2^12 + 29404*c_1001_2^11 + 234*c_1001_2^10 - 15522*c_1001_2^9 + 8780*c_1001_2^8 + 1164*c_1001_2^7 - 3732*c_1001_2^6 + 1884*c_1001_2^5 - 184*c_1001_2^4 - 248*c_1001_2^3 + 130*c_1001_2^2 - 27*c_1001_2 + 2, c_1001_0 - c_1001_2^37 - 34*c_1001_2^36 - 542*c_1001_2^35 - 5372*c_1001_2^34 - 37007*c_1001_2^33 - 187598*c_1001_2^32 - 722542*c_1001_2^31 - 2152284*c_1001_2^30 - 5001124*c_1001_2^29 - 9090640*c_1001_2^28 - 12948552*c_1001_2^27 - 14613792*c_1001_2^26 - 13634697*c_1001_2^25 - 11490282*c_1001_2^24 - 9271370*c_1001_2^23 - 6530372*c_1001_2^22 - 3530227*c_1001_2^21 - 1821156*c_1001_2^20 - 1319430*c_1001_2^19 - 570814*c_1001_2^18 + 86003*c_1001_2^17 - 118574*c_1001_2^16 - 212546*c_1001_2^15 + 103898*c_1001_2^14 + 32304*c_1001_2^13 - 103576*c_1001_2^12 + 37200*c_1001_2^11 + 24784*c_1001_2^10 - 35702*c_1001_2^9 + 13844*c_1001_2^8 + 4100*c_1001_2^7 - 7606*c_1001_2^6 + 4169*c_1001_2^5 - 1146*c_1001_2^4 + 36*c_1001_2^3 + 76*c_1001_2^2 - 23*c_1001_2 + 2, c_1001_12 + c_1001_2^16 + 14*c_1001_2^15 + 83*c_1001_2^14 + 266*c_1001_2^13 + 483*c_1001_2^12 + 466*c_1001_2^11 + 202*c_1001_2^10 + 116*c_1001_2^9 + 207*c_1001_2^8 + 42*c_1001_2^7 - 86*c_1001_2^6 + 60*c_1001_2^5 + 18*c_1001_2^4 - 44*c_1001_2^3 + 28*c_1001_2^2 - 8*c_1001_2 + 1, c_1001_2^38 + 35*c_1001_2^37 + 575*c_1001_2^36 + 5880*c_1001_2^35 + 41838*c_1001_2^34 + 219265*c_1001_2^33 + 873611*c_1001_2^32 + 2691644*c_1001_2^31 + 6459040*c_1001_2^30 + 12070700*c_1001_2^29 + 17497752*c_1001_2^28 + 19701040*c_1001_2^27 + 17821376*c_1001_2^26 + 14469783*c_1001_2^25 + 11877325*c_1001_2^24 + 8760012*c_1001_2^23 + 4349685*c_1001_2^22 + 1644647*c_1001_2^21 + 1739679*c_1001_2^20 + 1220312*c_1001_2^19 - 415290*c_1001_2^18 - 201821*c_1001_2^17 + 690049*c_1001_2^16 - 38700*c_1001_2^15 - 390712*c_1001_2^14 + 275764*c_1001_2^13 + 101192*c_1001_2^12 - 211872*c_1001_2^11 + 81576*c_1001_2^10 + 51546*c_1001_2^9 - 71250*c_1001_2^8 + 28008*c_1001_2^7 + 6401*c_1001_2^6 - 13421*c_1001_2^5 + 7927*c_1001_2^4 - 2680*c_1001_2^3 + 542*c_1001_2^2 - 59*c_1001_2 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.660 Total time: 2.859 seconds, Total memory usage: 64.12MB