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Label Polynomial Discriminant Galois group Class group
36.0.771...893.1 x36 - x35 + x34 - x33 + x32 - x31 + x30 - x29 + x28 - x27 + x26 - x25 + x24 - x23 + x22 - x21 + x20 - x19 + x18 - x17 + x16 - x15 + x14 - x13 + x12 - x11 + x10 - x9 + x8 - x7 + x6 - x5 + x4 - x3 + x2 - x + 1 \( 37^{35} \) $C_{36}$ (as 36T1) $[37]$ (GRH)
36.0.619...125.1 x36 - x35 + 9x34 - 10x33 + 54x32 - 49x31 + 257x30 - 206x29 + 1100x28 - 836x27 + 3655x26 - 2571x25 + 10339x24 - 5625x23 + 24829x22 - 12149x21 + 52298x20 - 24437x19 + 84375x18 - 31001x17 + 114806x16 - 20386x15 + 122457x14 - 26351x13 + 111183x12 - 31899x11 + 59771x10 - 9196x9 + 26744x8 + 4893x7 + 5542x6 + 509x5 + 1260x4 - 205x3 + 35x2 - 5x + 1 \( 5^{27}\cdot 19^{32} \) $C_{36}$ (as 36T1) $[1417]$ (GRH)
36.0.722...125.1 x36 + 9x34 + 54x32 + 273x30 + 1260x28 - x27 + 4374x26 - 18x25 + 13050x24 - 189x23 + 34695x22 - 153x21 + 79785x20 + 1935x19 + 133435x18 + 11664x17 + 197460x16 + 36792x15 + 255879x14 + 40932x13 + 256629x12 + 26649x11 + 121878x10 + 26x9 + 55485x8 - 19917x7 + 22041x6 - 4752x5 + 6021x4 - 699x3 + 81x2 - 9x + 1 \( 3^{88}\cdot 5^{27} \) $C_{36}$ (as 36T1) $[2053]$ (GRH)
36.36.650...125.1 x36 - 36x34 + 594x32 - 5952x30 + 40455x28 - x27 - 197316x26 + 27x25 + 712530x24 - 324x23 - 1937520x22 + 2277x21 + 3996135x20 - 10395x19 - 6249100x18 + 32319x17 + 7354710x16 - 69768x15 - 6418656x14 + 104652x13 + 4056234x12 - 107406x11 - 1790712x10 + 72931x9 + 523260x8 - 30897x7 - 93024x6 + 7398x5 + 8721x4 - 849x3 - 324x2 + 36x + 1 \( 3^{90}\cdot 5^{27} \) $C_{36}$ (as 36T1) trivial (GRH)
36.36.223...125.1 x36 - x35 - 36x34 + 35x33 + 594x32 - 559x31 - 5953x30 + 5394x29 + 40485x28 - 35091x27 - 197720x26 + 162629x25 + 715754x24 - 553125x23 - 1954471x22 + 1401346x21 + 4057888x20 - 2656542x19 - 6408680x18 + 3752139x17 + 7649116x16 - 3896996x15 - 6803518x14 + 2906674x13 + 4404908x12 - 1498899x11 - 2000649x10 + 503479x9 + 601194x8 - 100432x7 - 108458x6 + 10534x5 + 9885x4 - 605x3 - 340x2 + 20x + 1 \( 5^{27}\cdot 19^{34} \) $C_{36}$ (as 36T1) trivial (GRH)
36.36.298...677.1 x36 - x35 - 36x34 + 36x33 + 593x32 - 593x31 - 5919x30 + 5919x29 + 39961x28 - 39961x27 - 192880x26 + 192880x25 + 685907x24 - 685907x23 - 1824913x22 + 1824913x21 + 3651272x20 - 3651272x19 - 5475703x18 + 5475703x17 + 6085132x16 - 6085132x15 - 4909788x14 + 4909788x13 + 2786656x12 - 2786656x11 - 1061566x10 + 1061566x9 + 253044x8 - 253044x7 - 33780x6 + 33780x5 + 2073x4 - 2073x3 - 36x2 + 36x + 1 \( 3^{18}\cdot 37^{35} \) $C_{36}$ (as 36T1) trivial (GRH)
36.36.164...257.1 x36 - x35 - 35x34 + 34x33 + 561x32 - 528x31 - 5456x30 + 4960x29 + 35960x28 - 31465x27 - 169911x26 + 142506x25 + 593775x24 - 475020x23 - 1560780x22 + 1184040x21 + 3108105x20 - 2220075x19 - 4686825x18 + 3124550x17 + 5311735x16 - 3268760x15 - 4457400x14 + 2496144x13 + 2704156x12 - 1352078x11 - 1144066x10 + 497420x9 + 319770x8 - 116280x7 - 54264x6 + 15504x5 + 4845x4 - 969x3 - 171x2 + 18x + 1 \( 73^{35} \) $C_{36}$ (as 36T1) trivial (GRH)
36.36.529...248.1 x36 - 37x34 + 629x32 - 6512x30 + 45880x28 - 232841x26 + 878787x24 - 2510820x22 + 5476185x20 - 9126975x18 + 11560835x16 - 10994920x14 + 7696444x12 - 3848222x10 + 1314610x8 - 286824x6 + 35853x4 - 2109x2 + 37 \( 2^{36}\cdot 37^{35} \) $C_{36}$ (as 36T1) trivial (GRH)
36.0.294...125.1 x36 - x35 + 38x34 - 38x33 + 667x32 - 667x31 + 7179x30 - 7179x29 + 53059x28 - 53059x27 + 285900x26 - 285900x25 + 1164687x24 - 1164687x23 + 3675507x22 - 3675507x21 + 9151692x20 - 9151692x19 + 18278667x18 - 18278667x17 + 29839502x16 - 29839502x15 + 40834422x14 - 40834422x13 + 48530866x12 - 48530866x11 + 52379088x10 - 52379088x9 + 53693698x8 - 53693698x7 + 53980522x6 - 53980522x5 + 54016375x4 - 54016375x3 + 54018484x2 - 54018484x + 54018521 \( 5^{18}\cdot 37^{35} \) $C_{36}$ (as 36T1) n/a
36.36.240...125.1 x36 - 5x35 - 61x34 + 341x33 + 1498x32 - 9923x31 - 18344x30 + 162163x29 + 100187x28 - 1651384x27 + 151385x26 + 11009448x25 - 6014336x24 - 49174374x23 + 42405508x22 + 148130790x21 - 162961903x20 - 299264731x19 + 387680446x18 + 399630129x17 - 587870429x16 - 346734395x15 + 566539690x14 + 194732689x13 - 340300799x12 - 73364329x11 + 122941569x10 + 19939192x9 - 25143775x8 - 3815281x7 + 2601760x6 + 414379x5 - 101999x4 - 16958x3 + 222x2 + 69x + 1 \( 3^{18}\cdot 5^{27}\cdot 19^{32} \) $C_{36}$ (as 36T1) trivial (GRH)
36.0.113...125.1 x36 - x35 + 17x34 - 22x33 + 217x32 - 92x31 + 2305x30 - 548x29 + 24025x28 - 9791x27 + 124680x26 - 59713x25 + 544902x24 - 274866x23 + 2154833x22 - 1067627x21 + 7334189x20 - 3450543x19 + 14127290x18 - 3108766x17 + 23851200x16 + 13376744x15 + 25175709x14 + 9088911x13 + 23034602x12 + 232605x11 + 2582197x10 + 124075x9 + 235179x8 - 72948x7 + 30848x6 - 6008x5 + 2425x4 - 368x3 + 56x2 - 7x + 1 \( 5^{27}\cdot 37^{32} \) $C_{36}$ (as 36T1) $[7, 66031]$ (GRH)
36.36.125...957.1 x36 - x35 - 73x34 + 73x33 + 2443x32 - 2443x31 - 49653x30 + 49653x29 + 684427x28 - 684427x27 - 6766485x26 + 6766485x25 + 49475883x24 - 49475883x23 - 271909077x22 + 271909077x21 + 1129994283x20 - 1129994283x19 - 3543016917x18 + 3543016917x17 + 8295278123x16 - 8295278123x15 - 14222318037x14 + 14222318037x13 + 17302316587x12 - 17302316587x11 - 14222318037x10 + 14222318037x9 + 7316252203x8 - 7316252203x7 - 2082396629x6 + 2082396629x5 + 267265579x4 - 267265579x3 - 9165269x2 + 9165269x + 534059 \( 7^{18}\cdot 37^{35} \) $C_{36}$ (as 36T1) trivial (GRH)
36.36.425...000.1 x36 - 4x35 - 71x34 + 290x33 + 2189x32 - 9196x31 - 38498x30 + 168076x29 + 426285x28 - 1964424x27 - 3089535x26 + 15403666x25 + 14704059x24 - 82755920x23 - 44357561x22 + 305983704x21 + 74837468x20 - 772688098x19 - 31268380x18 + 1309519986x17 - 130919914x16 - 1451486164x15 + 278371447x14 + 1018460166x13 - 250289952x12 - 434207956x11 + 116712776x10 + 106401116x9 - 28450501x8 - 13608038x7 + 3438912x6 + 717016x5 - 182615x4 - 4420x3 + 2410x2 - 120x + 1 \( 2^{36}\cdot 5^{27}\cdot 19^{32} \) $C_{36}$ (as 36T1) trivial (GRH)
36.36.527...568.1 x36 - 68x34 + 2018x32 - 34520x30 + 379376x28 - 2832128x26 + 14836664x24 - 55646624x22 + 151170256x20 - 298819648x18 + 428794592x16 - 442226304x14 + 321513984x12 - 159622144x10 + 51473664x8 - 9968640x6 + 1025280x4 - 46080x2 + 512 \( 2^{99}\cdot 19^{32} \) $C_{36}$ (as 36T1) trivial (GRH)
36.0.527...568.1 x36 + 68x34 + 2018x32 + 34520x30 + 379376x28 + 2832128x26 + 14836664x24 + 55646624x22 + 151170256x20 + 298819648x18 + 428794592x16 + 442226304x14 + 321513984x12 + 159622144x10 + 51473664x8 + 9968640x6 + 1025280x4 + 46080x2 + 512 \( 2^{99}\cdot 19^{32} \) $C_{36}$ (as 36T1) $[37, 294409]$ (GRH)
36.0.866...125.1 x36 - x35 + 59x34 - 60x33 + 1544x32 - 1604x31 + 23782x30 - 25386x29 + 241980x28 - 267366x27 + 1738095x26 - 2005461x25 + 9259294x24 - 11264755x23 + 38325434x22 - 49590189x21 + 129770818x20 - 179361007x19 + 381365075x18 - 560976311x17 + 1034017336x16 - 1592813131x15 + 2712046322x14 - 4214492261x13 + 6983906898x12 - 10088647824x11 + 17099968701x10 - 19560482921x9 + 36669453879x8 - 24802862407x7 + 61474246192x6 - 10313272211x5 + 71787766410x4 + 17339912395x3 + 54447870260x2 + 22060436420x + 32387434201 \( 3^{18}\cdot 5^{27}\cdot 19^{34} \) $C_{36}$ (as 36T1) n/a
36.0.992...037.1 x36 - 5x35 - 7x34 + 113x33 - 134x32 - 739x31 + 2258x30 + 1043x29 - 6487x28 + 10602x27 - 7679x26 + 70188x25 + 151074x24 - 206918x23 + 1076336x22 + 1250746x21 + 1661905x20 + 10847659x19 + 5421194x18 + 27598749x17 + 52647189x16 + 1626183x15 + 113310286x14 - 36566989x13 - 148847787x12 + 255532625x11 - 43268279x10 + 813479078x9 + 1554079591x8 - 1876566909x7 - 578854318x6 + 1586432839x5 + 1043809061x4 - 678416260x3 + 674282638x2 - 108094043x + 315944957 \( 13^{27}\cdot 19^{32} \) $C_{36}$ (as 36T1) $[5, 368285]$ (GRH)
36.0.138...712.1 x36 + 74x34 + 2516x32 + 52096x30 + 734080x28 + 7450912x26 + 56242368x24 + 321384960x22 + 1401903360x20 + 4673011200x18 + 11838295040x16 + 22517596160x14 + 31524634624x12 + 31524634624x10 + 21538570240x8 + 9398648832x6 + 2349662208x4 + 276430848x2 + 9699328 \( 2^{54}\cdot 37^{35} \) $C_{36}$ (as 36T1) n/a
36.36.138...712.1 x36 - 74x34 + 2516x32 - 52096x30 + 734080x28 - 7450912x26 + 56242368x24 - 321384960x22 + 1401903360x20 - 4673011200x18 + 11838295040x16 - 22517596160x14 + 31524634624x12 - 31524634624x10 + 21538570240x8 - 9398648832x6 + 2349662208x4 - 276430848x2 + 9699328 \( 2^{54}\cdot 37^{35} \) $C_{36}$ (as 36T1) n/a
36.0.204...349.1 x36 - x35 + 2x34 + 68x33 - 61x32 + 115x31 + 1837x30 - 1467x29 + 2590x28 + 25554x27 - 17945x26 + 29347x25 + 199142x24 - 121616x23 + 182604x22 + 887126x21 - 454935x20 + 640151x19 + 2238405x18 - 784527x17 + 1198241x16 + 3146481x15 - 49640x14 + 987382x13 + 2721446x12 + 1177166x11 + 220271x10 + 132851x9 + 1926836x8 - 897617x7 - 2756219x6 + 675039x5 - 330453x4 - 565945x3 + 873358x2 - 52981x + 103177 \( 109^{35} \) $C_{36}$ (as 36T1) $[17153]$ (GRH)
36.36.496...000.1 x36 - 81x34 + 2889x32 - 59832x30 + 799020x28 - 4x27 - 7227216x26 - 162x25 + 45285660x24 + 6804x23 - 197837730x22 - 84042x21 + 599479200x20 + 488160x19 - 1241952110x18 - 1460934x17 + 1720942785x16 + 1973988x15 - 1551012606x14 + 585108x13 + 878655639x12 - 5409414x11 - 299222487x10 + 6111114x9 + 57031200x8 - 2685978x7 - 5288694x6 + 445752x5 + 162621x4 - 18696x3 - 369x2 + 54x + 1 \( 2^{36}\cdot 3^{88}\cdot 5^{27} \) $C_{36}$ (as 36T1) trivial (GRH)
36.36.614...768.1 x36 - 72x34 + 2268x32 - 41280x30 + 483804x28 - 3859488x26 + 21644784x24 - 87049728x22 + 253983600x20 - 540076864x18 + 834837696x16 - 928015488x14 + 726219648x12 - 385913088x10 + 131300352x8 - 25943040x6 + 2509056x4 - 82944x2 + 512 \( 2^{99}\cdot 3^{88} \) $C_{36}$ (as 36T1) trivial (GRH)
36.0.614...768.1 x36 + 72x34 + 2268x32 + 41280x30 + 483804x28 + 3859488x26 + 21644784x24 + 87049728x22 + 253983600x20 + 540076864x18 + 834837696x16 + 928015488x14 + 726219648x12 + 385913088x10 + 131300352x8 + 25943040x6 + 2509056x4 + 82944x2 + 512 \( 2^{99}\cdot 3^{88} \) $C_{36}$ (as 36T1) n/a
36.0.115...837.1 x36 - 9x35 + 18x34 + 114x33 - 594x32 + 297x31 + 4254x30 - 9936x29 - 234x28 + 32299x27 - 58959x26 + 147294x25 - 168765x24 - 310914x23 + 2148039x22 - 2780889x21 + 3302046x20 + 7764570x19 - 20060275x18 + 46453752x17 - 5674194x16 - 33922617x15 + 189154899x14 - 418326174x13 + 239017128x12 + 371741373x11 - 836274987x10 + 2255635343x9 - 421255737x8 - 4539381993x7 + 4681659129x6 - 179083917x5 + 666088029x4 - 2003355207x3 + 1258558695x2 - 261336159x + 510583503 \( 3^{88}\cdot 13^{27} \) $C_{36}$ (as 36T1) $[9, 1229913]$ (GRH)
36.0.155...125.1 x36 - x35 + 22x34 - 27x33 + 67x32 - 207x31 - 1315x30 - 33x29 - 8125x28 + 4874x27 + 19535x26 - 12268x25 + 277922x24 - 211291x23 + 935073x22 + 556103x21 + 1859369x20 + 8410217x19 + 1507600x18 + 20224879x17 + 4629050x16 + 12339504x15 + 85759609x14 + 3804421x13 + 229248172x12 + 8915595x11 + 179709102x10 + 277578985x9 + 120093874x8 + 590929432x7 + 16251273x6 + 291093237x5 + 237370345x4 - 94855123x3 + 371447631x2 - 99193272x + 97362911 \( 5^{27}\cdot 37^{34} \) $C_{36}$ (as 36T1) n/a
36.0.446...000.1 x36 + 90x34 + 3645x32 + 88050x30 + 1417950x28 + 16119000x26 + 133603875x24 + 822251250x22 + 3789888750x20 + 13095318750x18 + 33719118750x16 + 63846984375x14 + 86985140625x12 + 82533515625x10 + 52017187500x8 + 20334375000x6 + 4461328125x4 + 474609375x2 + 17578125 \( 2^{36}\cdot 3^{90}\cdot 5^{27} \) $C_{36}$ (as 36T1) n/a
36.0.553...912.1 x36 + 72x34 + 2268x32 + 41280x30 + 483804x28 + 3859488x26 + 21644784x24 + 87049728x22 + 253983600x20 + 540202944x18 + 836167104x16 + 933856128x14 + 740057472x12 + 405022464x10 + 146810880x8 + 33039360x6 + 4167936x4 + 248832x2 + 4608 \( 2^{99}\cdot 3^{90} \) $C_{36}$ (as 36T1) n/a
36.36.553...912.1 x36 - 72x34 + 2268x32 - 41280x30 + 483804x28 - 3859488x26 + 21644784x24 - 87049728x22 + 253983600x20 - 540202944x18 + 836167104x16 - 933856128x14 + 740057472x12 - 405022464x10 + 146810880x8 - 33039360x6 + 4167936x4 - 248832x2 + 4608 \( 2^{99}\cdot 3^{90} \) $C_{36}$ (as 36T1) trivial (GRH)
36.36.104...533.1 x36 - 90x34 + 3537x32 - 80130x30 + 1165662x28 - 1187x27 - 11505240x26 + 60876x25 + 79561287x24 - 1248885x23 - 393214770x22 + 13538481x21 + 1405474902x20 - 87330726x19 - 3650721350x18 + 358455213x17 + 6873288795x16 - 971296587x15 - 9272415006x14 + 1763581788x13 + 8756851740x12 - 2137188807x11 - 5555566935x10 + 1686910755x9 + 2198845116x8 - 821976822x7 - 465058575x6 + 221243481x5 + 30525471x4 - 24720957x3 + 2832975x2 - 30861x - 3561 \( 3^{90}\cdot 13^{27} \) $C_{36}$ (as 36T1) trivial (GRH)
36.0.153...000.1 x36 + 95x34 + 4085x32 + 105450x30 + 1827800x28 + 22545875x26 + 204644250x24 + 1393946875x22 + 7200394375x20 + 28304418750x18 + 84453693750x16 + 189620890625x14 + 315440671875x12 + 379529453125x10 + 318610703125x8 + 176833593750x6 + 59649609375x4 + 10576171875x2 + 705078125 \( 2^{36}\cdot 5^{27}\cdot 19^{34} \) $C_{36}$ (as 36T1) n/a
36.36.190...048.1 x36 - 76x34 + 2546x32 - 49704x30 + 630800x28 - 5506048x26 + 34166712x24 - 153873248x22 + 509408848x20 - 1247889600x18 + 2263903200x16 - 3025838464x14 + 2943264768x12 - 2040175616x10 + 974896384x8 - 304972800x6 + 57390336x4 - 5544960x2 + 184832 \( 2^{99}\cdot 19^{34} \) $C_{36}$ (as 36T1) n/a
36.0.190...048.1 x36 + 76x34 + 2546x32 + 49704x30 + 630800x28 + 5506048x26 + 34166712x24 + 153873248x22 + 509408848x20 + 1247889600x18 + 2263903200x16 + 3025838464x14 + 2943264768x12 + 2040175616x10 + 974896384x8 + 304972800x6 + 57390336x4 + 5544960x2 + 184832 \( 2^{99}\cdot 19^{34} \) $C_{36}$ (as 36T1) n/a
36.36.358...357.1 x36 - x35 - 91x34 + 88x33 + 3610x32 - 3346x31 - 82344x30 + 72306x29 + 1201840x28 - 984922x27 - 11849973x26 + 8895207x25 + 81470952x24 - 54785331x23 - 398471838x22 + 234115845x21 + 1403401302x20 - 701053767x19 - 3577294997x18 + 1476195159x17 + 6583639836x16 - 2182363097x15 - 8653274500x14 + 2258507601x13 + 7953185526x12 - 1642297558x11 - 4939927529x10 + 855286083x9 + 1967167029x8 - 323901451x7 - 461721752x6 + 82956251x5 + 54837496x4 - 10879867x3 - 2246720x2 + 322424x + 42979 \( 13^{27}\cdot 19^{34} \) $C_{36}$ (as 36T1) trivial (GRH)
36.36.428...533.1 x36 - x35 - 110x34 + 110x33 + 5551x32 - 5551x31 - 170273x30 + 170273x29 + 3546007x28 - 3546007x27 - 53034356x26 + 53034356x25 + 587601367x24 - 587601367x23 - 4903561973x22 + 4903561973x21 + 31025687812x20 - 31025687812x19 - 148620561113x18 + 148620561113x17 + 534035184802x16 - 534035184802x15 - 1413681908438x14 + 1413681908438x13 + 2676523987366x12 - 2676523987366x11 - 3458784856340x10 + 3458784856340x9 + 2828954020750x8 - 2828954020750x7 - 1286656880618x6 + 1286656880618x5 + 256697207395x4 - 256697207395x3 - 15659396372x2 + 15659396372x - 1324838279 \( 11^{18}\cdot 37^{35} \) $C_{36}$ (as 36T1) n/a
36.36.574...625.1 x36 - x35 - 73x34 + 73x33 + 2332x32 - 2332x31 - 43030x30 + 43067x29 + 509935x28 - 511341x27 - 4083615x26 + 4104557x25 + 22653732x24 - 22805506x23 - 87888652x22 + 88382528x21 + 238235194x20 - 238127228x19 - 447142705x18 + 440605249x17 + 572080385x16 - 548111526x15 - 488912671x14 + 444437006x13 + 273263612x12 - 225724125x11 - 97607738x10 + 68588675x9 + 20891644x8 - 11623218x7 - 2202202x6 + 983052x5 + 40590x4 - 37038x3 + 3701x2 - 112x + 1 \( 5^{27}\cdot 37^{35} \) $C_{36}$ (as 36T1) $[2]$ (GRH)
36.36.574...625.2 x36 - x35 - 73x34 + 73x33 + 2332x32 - 2332x31 - 43030x30 + 43067x29 + 509935x28 - 511341x27 - 4083615x26 + 4104557x25 + 22653732x24 - 22805506x23 - 87888652x22 + 88382528x21 + 238235194x20 - 238153128x19 - 447116805x18 + 441080699x17 + 571604935x16 - 551208426x15 - 485802821x14 + 453279451x13 + 264470377x12 - 237247220x11 - 86474808x10 + 75196320x9 + 14998099x8 - 13242338x7 - 1052612x6 + 1081472x5 + 16170x4 - 27048x3 - 1109x2 + 73x + 1 \( 5^{27}\cdot 37^{35} \) $C_{36}$ (as 36T1) $[2]$ (GRH)
36.0.637...673.1 x36 - x35 + 38x34 - 39x33 + 561x32 - 601x31 + 3888x30 - 4530x29 + 10264x28 - 15478x27 - 19312x26 - 1012x25 - 167907x24 + 121974x23 - 184657x22 - 156751x21 + 999062x20 - 2430972x19 + 4232753x18 - 1463792x17 + 9417109x16 + 13576136x15 + 7937927x14 + 3265491x13 - 6979148x12 - 15614599x11 + 51376587x10 - 272723622x9 + 204165408x8 - 795120590x7 + 735644116x6 + 205773888x5 - 581240646x4 + 1221427512x3 + 517519970x2 + 66691066x + 352837909 \( 3^{18}\cdot 73^{35} \) $C_{36}$ (as 36T1) n/a
36.36.138...953.1 x36 - 5x35 - 79x34 + 390x33 + 2741x32 - 13255x31 - 55320x30 + 259850x29 + 725836x28 - 3282873x27 - 6560791x26 + 28311871x25 + 42269189x24 - 172282852x23 - 198208062x22 + 753951297x21 + 685040172x20 - 2395183687x19 - 1756656704x18 + 5531856779x17 + 3347805950x16 - 9231423375x15 - 4725796398x14 + 10966716924x13 + 4892716648x12 - 9032341692x11 - 3641245978x10 + 4933888279x9 + 1874543316x8 - 1656296027x7 - 620220074x6 + 295821384x5 + 113625303x4 - 20290580x3 - 8104196x2 + 289902x + 131479 \( 17^{27}\cdot 19^{32} \) $C_{36}$ (as 36T1) n/a
36.0.205...272.1 x36 + 111x34 + 5661x32 + 175824x30 + 3716280x28 + 56580363x26 + 640635723x24 + 5491163340x22 + 35929249785x20 + 179646248925x18 + 682655745915x16 + 1947717093240x14 + 4090205895804x12 + 6135308843706x10 + 6287738877090x8 + 4115610901368x6 + 1543354088013x4 + 272356603767x2 + 14334558093 \( 2^{36}\cdot 3^{18}\cdot 37^{35} \) $C_{36}$ (as 36T1) n/a
36.0.867...197.1 x36 - x35 + 112x34 - 112x33 + 5773x32 - 5773x31 + 181597x30 - 181597x29 + 3897877x28 - 3897877x27 + 60478240x26 - 60478240x25 + 701113963x24 - 701113963x23 + 6192277303x22 - 6192277303x21 + 42121527088x20 - 42121527088x19 + 221767776013x18 - 221767776013x17 + 904423521928x16 - 904423521928x15 + 2852140615168x14 - 2852140615168x13 + 6942346510972x12 - 6942346510972x11 + 13077655354678x10 - 13077655354678x9 + 19365394231768x8 - 19365394231768x7 + 23481005133136x6 - 23481005133136x5 + 25024359221149x4 - 25024359221149x3 + 25296715824916x2 - 25296715824916x + 25311050383009 \( 13^{18}\cdot 37^{35} \) $C_{36}$ (as 36T1) n/a
36.36.100...125.1 x36 - 5x35 - 106x34 + 576x33 + 4748x32 - 28843x31 - 115949x30 + 828348x29 + 1629697x28 - 15168779x27 - 11682690x26 + 186285918x25 - 2650226x24 - 1569853689x23 + 914490403x22 + 9108603560x21 - 9534770098x20 - 35750739076x19 + 53688190461x18 + 89890122764x17 - 189283268344x16 - 122122737810x15 + 426442427850x14 + 11187896154x13 - 592676197584x12 + 245721510051x11 + 453633366839x10 - 383461167983x9 - 120956160490x8 + 241065482259x7 - 52118240795x6 - 50437624086x5 + 31289390741x4 - 4396742158x3 - 1194513983x2 + 440202944x - 38741779 \( 5^{27}\cdot 7^{18}\cdot 19^{32} \) $C_{36}$ (as 36T1) n/a
36.0.147...093.1 x36 - x35 + x34 - 75x33 + 75x32 - 75x31 + 2258x30 - 2258x29 + 2258x28 - 35632x27 + 45400x26 + 119990x25 + 198321x24 - 518223x23 - 4625406x22 + 3695300x21 + 33634x20 + 56706162x19 - 46277342x18 + 29299115x17 - 291942394x16 - 435767982x15 + 2609795075x14 - 3628140858x13 + 8655990864x12 - 16280549821x11 + 5568096849x10 - 10318189483x9 + 6830622430x8 + 20289170186x7 + 8240704677x6 + 9043770139x5 + 26040564999x4 + 31837565120x3 + 39074748065x2 + 19960512173x + 3220122359 \( 7^{24}\cdot 37^{35} \) $C_{36}$ (as 36T1) n/a
36.0.147...093.2 x36 - x35 + x34 - 75x33 + 75x32 - 75x31 + 2258x30 - 2258x29 + 2258x28 - 35632x27 + 88912x26 - 141082x25 + 419248x24 - 2164168x23 + 3786655x22 - 5399226x21 + 25738866x20 - 43636654x19 + 45675169x18 - 134516572x17 + 608277633x16 + 210697572x15 + 483104635x14 - 2456734881x13 - 3520305170x12 + 4756769209x11 + 3056835180x10 + 11987996706x9 - 16828858702x8 - 21147409719x7 + 62024124864x6 - 77278253614x5 + 32045586448x4 + 26637733490x3 - 23963519122x2 - 1001698929x + 4902414383 \( 7^{24}\cdot 37^{35} \) $C_{36}$ (as 36T1) $[3, 219, 219]$ (GRH)
36.36.161...153.1 x36 - 9x35 - 54x34 + 663x33 + 900x32 - 21123x31 + 3384x30 + 384777x29 - 346671x28 - 4471182x27 + 5977575x26 + 35054136x25 - 57044091x24 - 191337390x23 + 352370736x22 + 739812750x21 - 1490798520x20 - 2042773668x19 + 4425991518x18 + 4034658177x17 - 9295450155x16 - 5684174823x15 + 13762436715x14 + 5683029075x13 - 14155302033x12 - 4012945749x11 + 9826841817x10 + 1995816947x9 - 4377201930x8 - 693810117x7 + 1144043901x6 + 161683686x5 - 148152627x4 - 22153542x3 + 6577803x2 + 1322991x + 59399 \( 3^{88}\cdot 17^{27} \) $C_{36}$ (as 36T1) trivial (GRH)
36.36.111...000.1 x36 - 4x35 - 116x34 + 460x33 + 5979x32 - 23476x31 - 181078x30 + 702796x29 + 3590990x28 - 13745544x27 - 49199940x26 + 185163176x25 + 479024139x24 - 1765001420x23 - 3359324006x22 + 12047051724x21 + 17028528943x20 - 58949240428x19 - 62127958560x18 + 205234716376x17 + 161334808461x16 - 500398910824x15 - 292768813138x14 + 833522210816x13 + 361220803118x12 - 915209478436x11 - 290667972364x10 + 629101525616x9 + 142404860174x8 - 250219262748x7 - 37141877508x6 + 50291714556x5 + 3858426385x4 - 3886965620x3 - 85804540x2 + 84727480x - 4592149 \( 2^{54}\cdot 5^{27}\cdot 19^{32} \) $C_{36}$ (as 36T1) n/a
36.0.111...000.1 x36 - 4x35 + 64x34 - 220x33 + 2159x32 - 6676x31 + 49642x30 - 139724x29 + 858930x28 - 2217384x27 + 11787900x26 - 28016984x25 + 132518139x24 - 290572940x23 + 1247034754x22 - 2523795036x21 + 9967083083x20 - 18594206188x19 + 68243623460x18 - 116924953584x17 + 401400108401x16 - 627422642344x15 + 2023423052542x14 - 2856431530224x13 + 8682432478218x12 - 10910788220836x11 + 31320358989476x10 - 34267775685784x9 + 92814563432174x8 - 85401470798108x7 + 218505128213772x6 - 159756732496364x5 + 384697409362585x4 - 200163531732820x3 + 452582283671560x2 - 126914368211520x + 267925632607951 \( 2^{54}\cdot 5^{27}\cdot 19^{32} \) $C_{36}$ (as 36T1) n/a
36.0.113...152.1 x36 + 73x34 + 2336x32 + 43289x30 + 517205x28 + 4199763x26 + 23818951x24 + 95548021x22 + 271775788x20 + 545083627x18 + 760556194x16 + 721589086x14 + 449489251x12 + 174817626x10 + 39695721x8 + 4809386x6 + 284846x4 + 7592x2 + 73 \( 2^{36}\cdot 73^{35} \) $C_{36}$ (as 36T1) n/a
36.36.113...125.1 x36 - x35 - 147x34 + 147x33 + 9917x32 - 9917x31 - 406851x30 + 406851x29 + 11338429x28 - 11338429x27 - 227090755x26 + 227090755x25 + 3372420797x24 - 3372420797x23 - 37764854083x22 + 37764854083x21 + 321122406077x20 - 321122406077x19 - 2071459328323x18 + 2071459328323x17 + 10050954792637x16 - 10050954792637x15 - 36065082143043x14 + 36065082143043x13 + 93059821276861x12 - 93059821276861x11 - 165189985562947x10 + 165189985562947x9 + 187697949249213x8 - 187697949249213x7 - 120276975677763x6 + 120276975677763x5 + 33710486785725x4 - 33710486785725x3 - 2521857323331x2 + 2521857323331x + 20763315901 \( 3^{18}\cdot 5^{18}\cdot 37^{35} \) $C_{36}$ (as 36T1) n/a
36.36.117...125.1 x36 - 9x35 - 81x34 + 951x33 + 2088x32 - 42939x31 + 5643x30 + 1085229x29 - 1512459x28 - 16861368x27 + 39162357x26 + 165335742x25 - 541366140x24 - 985627989x23 + 4697849808x22 + 2841546570x21 - 26805831327x20 + 3870494730x19 + 100934354919x18 - 69735280059x17 - 242670922227x16 + 290388199548x15 + 335224535589x14 - 646861351536x13 - 161390547741x12 + 823286390904x11 - 214390074411x10 - 552047771387x9 + 373616574660x8 + 125024057829x7 - 203664646266x6 + 44758761705x5 + 30223063710x4 - 20282160951x3 + 4783445352x2 - 474397875x + 13538501 \( 3^{88}\cdot 5^{27}\cdot 7^{18} \) $C_{36}$ (as 36T1) n/a
36.0.145...377.1 x36 + 36x34 + 594x32 + 5952x30 + 40455x28 - 14128x27 + 197316x26 - 381456x25 + 712530x24 - 4577472x23 + 1937520x22 - 32169456x21 + 3996135x20 - 146860560x19 + 215269598x18 - 456602832x17 + 3769723674x16 - 985682304x15 + 28224185886x14 - 1478523456x13 + 114129248142x12 - 1517431968x11 + 269011171638x10 + 132056987296x9 + 372475050696x8 + 1197349695360x7 + 289702503252x6 + 3593254105584x5 + 112871077641x4 + 3992608699248x3 + 16930660662x2 + 1197785699568x + 88739165414377 \( 3^{90}\cdot 17^{27} \) $C_{36}$ (as 36T1) n/a
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