Magma V2.19-8 Wed Aug 21 2013 00:56:47 on localhost [Seed = 2362086991] Type ? for help. Type -D to quit. Loading file "L13n2912__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2912 geometric_solution 12.06227283 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825771751302 1.126417938918 0 5 5 6 0132 0132 3120 0132 1 1 1 1 0 -1 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 -9 9 0 0 0 0 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426577471266 0.767029061956 4 0 7 3 1302 0132 0132 1302 1 1 1 1 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 -1 -8 9 9 0 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.279667513538 1.480959453009 8 9 2 0 0132 0132 2031 0132 1 1 1 1 0 0 0 0 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 0 0 0 9 0 -9 0 8 -8 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576682818206 0.577438095542 10 2 0 9 0132 2031 0132 3012 1 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460459036524 0.828121465681 9 1 1 11 0213 0132 3120 0132 1 1 1 1 0 1 -1 0 0 0 0 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 9 -9 0 0 0 0 0 8 0 0 -8 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426577471266 0.767029061956 8 11 1 8 2103 3120 0132 3201 1 1 0 1 0 1 0 -1 -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 8 0 -8 -9 0 0 9 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625224246793 0.836320764356 10 9 10 2 1230 0321 1023 0132 1 1 1 1 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 0 -8 8 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432936954163 0.141130493376 3 6 6 12 0132 2310 2103 0132 0 1 1 1 0 -1 1 0 -1 0 1 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 -2 3 -1 -9 0 9 0 9 -9 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625224246793 0.836320764356 5 3 4 7 0213 0132 1230 0321 1 1 1 1 0 0 0 0 -1 0 0 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 0 0 -8 0 0 8 0 0 0 0 -9 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.093801215434 1.222692481359 4 7 7 12 0132 3012 1023 3120 1 1 1 1 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 -8 0 8 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069835055156 1.352562836993 12 6 5 12 1302 3120 0132 2103 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 0 0 0 -8 0 0 8 0 -1 0 1 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625224246793 0.836320764356 10 11 8 11 3120 2031 0132 2103 0 1 1 1 0 0 0 0 1 0 0 -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 8 0 0 -8 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446220423830 0.995751199845 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : negation(d['c_0110_11']), 'c_1001_5' : negation(d['c_1001_1']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_2']), 'c_1001_2' : negation(d['c_0110_2']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_12']), 's_3_11' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), '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' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0110_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : d['c_0101_12'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_12'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_2']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : negation(d['c_0110_2']), 'c_1010_9' : negation(d['c_0110_2']), 'c_1010_8' : negation(d['c_0110_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0110_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_11'], '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' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0101_0'], '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_0011_12'], 'c_0110_8' : d['c_0101_12'], '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_0110_2'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0110_11']})} 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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0110_11, c_0110_2, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 3847593781879009/1340739390188*c_1001_1^15 + 11858958364525243/335184847547*c_1001_1^14 - 23178648491255517/670369695094*c_1001_1^13 - 1381638369477728337/1340739390188*c_1001_1^12 - 178352016165120527/121885399108*c_1001_1^11 - 298700593929676381/121885399108*c_1001_1^10 - 2349741294632629881/335184847547*c_1001_1^9 - 7439650131052751143/670369695094*c_1001_1^8 - 15001949238924418395/1340739390188*c_1001_1^7 - 107802478924625477/10812414437*c_1001_1^6 - 5704105204132902727/670369695094*c_1001_1^5 - 7651067396832250293/1340739390188*c_1001_1^4 - 36968121423319451/14263185002*c_1001_1^3 - 989870507173691709/1340739390188*c_1001_1^2 - 160156632285228069/1340739390188*c_1001_1 - 5645924432866865/670369695094, c_0011_0 - 1, c_0011_10 - 67190270529/8123527*c_1001_1^15 + 3364034830893/32494108*c_1001_1^14 - 3886542442083/32494108*c_1001_1^13 - 47789766677619/16247054*c_1001_1^12 - 59670546507725/16247054*c_1001_1^11 - 53129048052924/8123527*c_1001_1^10 - 621905490207195/32494108*c_1001_1^9 - 466537815381437/16247054*c_1001_1^8 - 226326660905340/8123527*c_1001_1^7 - 807968827732323/32494108*c_1001_1^6 - 684337837922539/32494108*c_1001_1^5 - 110239628308024/8123527*c_1001_1^4 - 2011912877409/345682*c_1001_1^3 - 50512632672605/32494108*c_1001_1^2 - 1909447985107/8123527*c_1001_1 - 502215627309/32494108, c_0011_11 - 1, c_0011_12 - 104868143760/8123527*c_1001_1^15 + 5237692181139/32494108*c_1001_1^14 - 5902369155135/32494108*c_1001_1^13 - 37352335264360/8123527*c_1001_1^12 - 47685622895003/8123527*c_1001_1^11 - 84008741613568/8123527*c_1001_1^10 - 979338967665355/32494108*c_1001_1^9 - 741630661071559/16247054*c_1001_1^8 - 362292457824089/8123527*c_1001_1^7 - 1292762494428581/32494108*c_1001_1^6 - 1096480256186875/32494108*c_1001_1^5 - 355933013122107/16247054*c_1001_1^4 - 1641763511992/172841*c_1001_1^3 - 83466428054847/32494108*c_1001_1^\ 2 - 3197221358827/8123527*c_1001_1 - 852850675721/32494108, c_0011_3 + 391611309367/32494108*c_1001_1^15 - 1221731435278/8123527*c_1001_1^14 + 5473227661233/32494108*c_1001_1^13 + 34885220330267/8123527*c_1001_1^12 + 44769326626629/8123527*c_1001_1^11 + 314626540787573/32494108*c_1001_1^10 + 916238076556147/32494108*c_1001_1^9 + 695347796567323/16247054*c_1001_1^8 + 1360738012912851/32494108*c_1001_1^7 + 303436863377786/8123527*c_1001_1^6 + 1029815726290007/32494108*c_1001_1^5 + 334835317903895/16247054*c_1001_1^4 + 6192002192227/691364*c_1001_1^3 + 78905360293997/32494108*c_1001_1^\ 2 + 12124491474791/32494108*c_1001_1 + 811083884407/32494108, c_0101_0 - 104868143760/8123527*c_1001_1^15 + 5237692181139/32494108*c_1001_1^14 - 5902369155135/32494108*c_1001_1^13 - 37352335264360/8123527*c_1001_1^12 - 47685622895003/8123527*c_1001_1^11 - 84008741613568/8123527*c_1001_1^10 - 979338967665355/32494108*c_1001_1^9 - 741630661071559/16247054*c_1001_1^8 - 362292457824089/8123527*c_1001_1^7 - 1292762494428581/32494108*c_1001_1^6 - 1096480256186875/32494108*c_1001_1^5 - 355933013122107/16247054*c_1001_1^4 - 1641763511992/172841*c_1001_1^3 - 83466428054847/32494108*c_1001_1^\ 2 - 3197221358827/8123527*c_1001_1 - 852850675721/32494108, c_0101_1 - 391611309367/32494108*c_1001_1^15 + 1221731435278/8123527*c_1001_1^14 - 5473227661233/32494108*c_1001_1^13 - 34885220330267/8123527*c_1001_1^12 - 44769326626629/8123527*c_1001_1^11 - 314626540787573/32494108*c_1001_1^10 - 916238076556147/32494108*c_1001_1^9 - 695347796567323/16247054*c_1001_1^8 - 1360738012912851/32494108*c_1001_1^7 - 303436863377786/8123527*c_1001_1^6 - 1029815726290007/32494108*c_1001_1^5 - 334835317903895/16247054*c_1001_1^4 - 6192002192227/691364*c_1001_1^3 - 78905360293997/32494108*c_1001_1^\ 2 - 12124491474791/32494108*c_1001_1 - 811083884407/32494108, c_0101_10 + 408640014903/32494108*c_1001_1^15 - 5101217071027/32494108*c_1001_1^14 + 2867590455511/16247054*c_1001_1^13 + 36390594453053/8123527*c_1001_1^12 + 93131051225945/16247054*c_1001_1^11 + 328046798723335/32494108*c_1001_1^10 + 477520241824985/16247054*c_1001_1^9 + 362002941993774/8123527*c_1001_1^8 + 1416702447087763/32494108*c_1001_1^7 + 1264091131694005/32494108*c_1001_1^6 + 268054412476351/8123527*c_1001_1^5 + 174251366875629/8123527*c_1001_1^4 + 6446028471913/691364*c_1001_1^3 + 41109404321539/16247054*c_1001_1^2 + 12656057317857/32494108*c_1001_1 + 212259210068/8123527, c_0101_12 + 1, c_0110_11 + 20883395657/16247054*c_1001_1^15 - 529062761441/32494108*c_1001_1^14 + 684900770539/32494108*c_1001_1^13 + 3683050938270/8123527*c_1001_1^12 + 4090271302205/8123527*c_1001_1^11 + 15531121220363/16247054*c_1001_1^10 + 92406080663951/32494108*c_1001_1^9 + 66037662350557/16247054*c_1001_1^8 + 61872241603367/16247054*c_1001_1^7 + 110712242601647/32494108*c_1001_1^6 + 92980605713615/32494108*c_1001_1^5 + 28754070339827/16247054*c_1001_1^4 + 246485510319/345682*c_1001_1^3 + 5720199124699/32494108*c_1001_1^2 + 392540763671/16247054*c_1001_1 + 45641491821/32494108, c_0110_2 - 362831604961/32494108*c_1001_1^15 + 4527827403391/32494108*c_1001_1^14 - 2536179955563/16247054*c_1001_1^13 - 32318629443167/8123527*c_1001_1^12 - 41480397040134/8123527*c_1001_1^11 - 291757743794771/32494108*c_1001_1^10 - 212249520524087/8123527*c_1001_1^9 - 322217892983421/8123527*c_1001_1^8 - 1262034813792457/32494108*c_1001_1^7 - 1125917899995761/32494108*c_1001_1^6 - 238800001028630/8123527*c_1001_1^5 - 155376248345389/8123527*c_1001_1^4 - 5754117231813/691364*c_1001_1^3 - 36730648075151/16247054*c_1001_1^2 - 11314171312509/32494108*c_1001_1 - 379512917307/16247054, c_1001_0 + 86666147973/8123527*c_1001_1^15 - 2163631514231/16247054*c_1001_1^14 + 2430703428997/16247054*c_1001_1^13 + 61747233836973/16247054*c_1001_1^12 + 39527480656600/8123527*c_1001_1^11 + 139153476597485/16247054*c_1001_1^10 + 202580551025447/8123527*c_1001_1^9 + 307216058860246/8123527*c_1001_1^8 + 300541296010321/8123527*c_1001_1^7 + 536238732484383/16247054*c_1001_1^6 + 454878612712079/16247054*c_1001_1^5 + 295691688370545/16247054*c_1001_1^4 + 1366756112648/172841*c_1001_1^3 + 17417660550974/8123527*c_1001_1^2 + 5354730285899/16247054*c_1001_1 + 179254483029/8123527, c_1001_1^16 - 12*c_1001_1^15 + 8*c_1001_1^14 + 363*c_1001_1^13 + 628*c_1001_1^12 + 1023*c_1001_1^11 + 2725*c_1001_1^10 + 4673*c_1001_1^9 + 5179*c_1001_1^8 + 4768*c_1001_1^7 + 4118*c_1001_1^6 + 2973*c_1001_1^5 + 1565*c_1001_1^4 + 559*c_1001_1^3 + 128*c_1001_1^2 + 17*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.590 seconds, Total memory usage: 32.09MB