Magma V2.19-8 Tue Aug 20 2013 16:16:52 on localhost [Seed = 795784177] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1134 geometric_solution 4.99938165 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 3012 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 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 0 0 0.704995792509 0.672081597260 0 2 4 4 0132 1302 3201 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 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 1.066335401770 1.396212041867 3 0 0 1 1302 0132 1230 2031 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 0 0 0 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 0.256892247603 0.708414221012 5 2 5 0 0132 2031 1023 0132 0 0 0 0 0 0 0 0 0 0 0 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 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 0.835211205538 0.931989353788 1 4 1 4 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.860448218881 0.611889909265 3 6 3 6 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722761768809 0.202213343108 6 5 6 5 2310 0132 3201 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 0.797444369580 0.088077565790 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_3']})} 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_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t + 2303487235730962935299/13329016500732808240*c_0101_6^17 - 119151008600266601609239/66645082503664041200*c_0101_6^16 + 18097301602846098409557/8330635312958005150*c_0101_6^15 + 746793039694080328575041/33322541251832020600*c_0101_6^14 - 2531984163359348241221567/66645082503664041200*c_0101_6^13 - 6337538599762403767450333/66645082503664041200*c_0101_6^12 + 8510344377409616613676327/66645082503664041200*c_0101_6^11 + 7819850536946089385254769/66645082503664041200*c_0101_6^10 - 2260581085178515158145677/16661270625916010300*c_0101_6^9 - 653071090376444102408987/66645082503664041200*c_0101_6^8 - 59993495299829746721442/4165317656479002575*c_0101_6^7 + 387536474156343290914177/66645082503664041200*c_0101_6^6 + 36815746989137362982935/1332901650073280824*c_0101_6^5 - 121319299478064650167201/13329016500732808240*c_0101_6^4 + 411191265615353260626153/66645082503664041200*c_0101_6^3 - 42709727326361107633931/16661270625916010300*c_0101_6^2 - 95021463036522147432831/66645082503664041200*c_0101_6 - 34052040103868291624857/66645082503664041200, c_0011_0 - 1, c_0011_3 + 172357040575002004/833063531295800515*c_0101_1*c_0101_6^17 - 3339961849137742433/1666127062591601030*c_0101_1*c_0101_6^16 + 1026414799922483194/833063531295800515*c_0101_1*c_0101_6^15 + 23504127712104050438/833063531295800515*c_0101_1*c_0101_6^14 - 23230507896197122629/833063531295800515*c_0101_1*c_0101_6^13 - 231272066144068955139/1666127062591601030*c_0101_1*c_0101_6^12 + 12774852927563634783/166612706259160103*c_0101_1*c_0101_6^11 + 359585397845798941053/1666127062591601030*c_0101_1*c_0101_6^10 - 61736740243495463247/833063531295800515*c_0101_1*c_0101_6^9 - 14133287008400396743/166612706259160103*c_0101_1*c_0101_6^8 - 4525854353366755173/333225412518320206*c_0101_1*c_0101_6^7 - 11194839030902829829/1666127062591601030*c_0101_1*c_0101_6^6 + 24558883891148481476/833063531295800515*c_0101_1*c_0101_6^5 + 42270429160337094/833063531295800515*c_0101_1*c_0101_6^4 + 2554537814511182163/1666127062591601030*c_0101_1*c_0101_6^3 + 1847325809085239703/833063531295800515*c_0101_1*c_0101_6^2 - 1673189449852988436/833063531295800515*c_0101_1*c_0101_6 - 440073290213394011/333225412518320206*c_0101_1, c_0011_4 - 804758827242679368/4165317656479002575*c_0101_6^17 + 8484966768449757549/4165317656479002575*c_0101_6^16 - 11407592573596785064/4165317656479002575*c_0101_6^15 - 21157284866073697242/833063531295800515*c_0101_6^14 + 39900059638907976172/833063531295800515*c_0101_6^13 + 455035473598658114533/4165317656479002575*c_0101_6^12 - 723930059687454254798/4165317656479002575*c_0101_6^11 - 647694757320270879448/4165317656479002575*c_0101_6^10 + 165016097237508181758/833063531295800515*c_0101_6^9 + 175276681216628607332/4165317656479002575*c_0101_6^8 - 631861823475559412/833063531295800515*c_0101_6^7 - 20039878501522347801/4165317656479002575*c_0101_6^6 - 32673087617227352213/833063531295800515*c_0101_6^5 + 2940884496077873991/4165317656479002575*c_0101_6^4 - 22949610692515274477/4165317656479002575*c_0101_6^3 + 3546606178262885148/833063531295800515*c_0101_6^2 + 15700899429410628554/4165317656479002575*c_0101_6 + 3871987916917004761/4165317656479002575, c_0101_0 + 413785868662616099/4165317656479002575*c_0101_6^17 - 4165172350698992527/4165317656479002575*c_0101_6^16 + 4414461699711163642/4165317656479002575*c_0101_6^15 + 10242018961191265154/833063531295800515*c_0101_6^14 - 14787647319710466942/833063531295800515*c_0101_6^13 - 198471707362885131544/4165317656479002575*c_0101_6^12 + 195552340819396528949/4165317656479002575*c_0101_6^11 + 104130514072134365129/4165317656479002575*c_0101_6^10 - 30166515696997966921/833063531295800515*c_0101_6^9 + 242440945312487719844/4165317656479002575*c_0101_6^8 - 17542272395097261568/833063531295800515*c_0101_6^7 - 68762275229067373762/4165317656479002575*c_0101_6^6 - 398058903617073703/833063531295800515*c_0101_6^5 - 25810461349916666033/4165317656479002575*c_0101_6^4 + 38535531131622250361/4165317656479002575*c_0101_6^3 - 1643172339535680788/833063531295800515*c_0101_6^2 + 5149184686165119883/4165317656479002575*c_0101_6 + 1229512981978913352/4165317656479002575, c_0101_1^2 - 287452957668872857/4165317656479002575*c_0101_6^17 + 2517382761213701386/4165317656479002575*c_0101_6^16 + 740817181030343609/4165317656479002575*c_0101_6^15 - 7903354723464542518/833063531295800515*c_0101_6^14 + 94680994680339268/166612706259160103*c_0101_6^13 + 208630222031546762052/4165317656479002575*c_0101_6^12 + 78763879410501821293/4165317656479002575*c_0101_6^11 - 284393849099222081192/4165317656479002575*c_0101_6^10 - 32414251340320665308/833063531295800515*c_0101_6^9 - 3554111995713980772/4165317656479002575*c_0101_6^8 + 11406355104261632636/833063531295800515*c_0101_6^7 + 154833084936221001156/4165317656479002575*c_0101_6^6 + 5646779568965346276/833063531295800515*c_0101_6^5 - 44722596485037480611/4165317656479002575*c_0101_6^4 - 14122937647818850683/4165317656479002575*c_0101_6^3 - 2977125530287191701/833063531295800515*c_0101_6^2 - 5375686021603792054/4165317656479002575*c_0101_6 + 18399965497384004/4165317656479002575, c_0101_3 - 1113271685487643672/4165317656479002575*c_0101_6^17 + 11728682670790273881/4165317656479002575*c_0101_6^16 - 15780543832943010766/4165317656479002575*c_0101_6^15 - 29109254355405673991/833063531295800515*c_0101_6^14 + 54819833204864047787/833063531295800515*c_0101_6^13 + 619942182418476098897/4165317656479002575*c_0101_6^12 - 983609814498593478672/4165317656479002575*c_0101_6^11 - 858879878844821787067/4165317656479002575*c_0101_6^10 + 220907716517102815479/833063531295800515*c_0101_6^9 + 248879544829064926023/4165317656479002575*c_0101_6^8 + 9814263746091106997/833063531295800515*c_0101_6^7 - 117055305167555000929/4165317656479002575*c_0101_6^6 - 49637423297715083188/833063531295800515*c_0101_6^5 + 53247965501148992479/4165317656479002575*c_0101_6^4 - 25623374858811223973/4165317656479002575*c_0101_6^3 + 4027303374115546239/833063531295800515*c_0101_6^2 + 22789355927033018211/4165317656479002575*c_0101_6 + 4966859636907264429/4165317656479002575, c_0101_6^18 - 10*c_0101_6^17 + 9*c_0101_6^16 + 134*c_0101_6^15 - 175*c_0101_6^14 - 626*c_0101_6^13 + 548*c_0101_6^12 + 934*c_0101_6^11 - 547*c_0101_6^10 - 329*c_0101_6^9 - 107*c_0101_6^8 + 7*c_0101_6^7 + 171*c_0101_6^6 + 3*c_0101_6^5 + 18*c_0101_6^4 - 3*c_0101_6^3 - 13*c_0101_6^2 - 6*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB