| Label |
Dimension |
Base field |
Base char. |
Simple |
Geom. simple |
Primitive |
Ordinary |
Almost ordinary |
Supersingular |
Princ. polarizable |
Jacobian |
L-polynomial |
Newton slopes |
Newton elevation |
$p$-rank |
$p$-corank |
Angle rank |
Angle corank |
$\mathbb{F}_q$ points on curve |
$\mathbb{F}_{q^k}$ points on curve |
$\mathbb{F}_q$ points on variety |
$\mathbb{F}_{q^k}$ points on variety |
Jacobians |
Hyperelliptic Jacobians |
Num. twists |
Max. twist degree |
End. degree |
Number fields |
Galois groups |
Isogeny factors |
| 1.243.abf |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 - 31 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$213$ |
$[213, 58575, 14341716, 3486676875, 847287023763, 205891109067600, 50031544770481641, 12157665454468441875, 2954312706488420494188, 717897987691032781755375]$ |
$213$ |
$[213, 58575, 14341716, 3486676875, 847287023763, 205891109067600, 50031544770481641, 12157665454468441875, 2954312706488420494188, 717897987691032781755375]$ |
$1$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$C_2$ |
simple |
| 1.243.abd |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 29 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$215$ |
$[215, 58695, 14345660, 3486776475, 847289168825, 205891150242960, 50031545489371115, 12157665465967660275, 2954312706656384659460, 717897987693234258885975]$ |
$215$ |
$[215, 58695, 14345660, 3486776475, 847289168825, 205891150242960, 50031545489371115, 12157665465967660275, 2954312706656384659460, 717897987693234258885975]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-131}) \) |
$C_2$ |
simple |
| 1.243.abc |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 28 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$216$ |
$[216, 58752, 14347368, 3486813696, 847289803896, 205891158420864, 50031545545881864, 12157665465172359168, 2954312706613473384984, 717897987692120450408832]$ |
$216$ |
$[216, 58752, 14347368, 3486813696, 847289803896, 205891158420864, 50031545545881864, 12157665465172359168, 2954312706613473384984, 717897987692120450408832]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-47}) \) |
$C_2$ |
simple |
| 1.243.abb |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
|
|
✓ |
✓ |
✓ |
✓ |
$1 - 27 x + 243 x^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$217$ |
$[217, 58807, 14348908, 3486843451, 847290203767, 205891160792464, 50031545486420197, 12157665462543713203, 2954312706550833698644, 717897987691005300160807]$ |
$217$ |
$[217, 58807, 14348908, 3486843451, 847290203767, 205891160792464, 50031545486420197, 12157665462543713203, 2954312706550833698644, 717897987691005300160807]$ |
$1$ |
$0$ |
$3$ |
$6$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.243.aba |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 26 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$218$ |
$[218, 58860, 14350286, 3486866400, 847290406538, 205891158893580, 50031545359078046, 12157665459306825600, 2954312706494131979258, 717897987690317619144300]$ |
$218$ |
$[218, 58860, 14350286, 3486866400, 847290406538, 205891158893580, 50031545359078046, 12157665459306825600, 2954312706494131979258, 717897987690317619144300]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-74}) \) |
$C_2$ |
simple |
| 1.243.az |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 25 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$219$ |
$[219, 58911, 14351508, 3486883179, 847290447069, 205891154032464, 50031545200902183, 12157665456273601875, 2954312706456488224044, 717897987690170300348511]$ |
$219$ |
$[219, 58911, 14351508, 3486883179, 847290447069, 205891154032464, 50031545200902183, 12157665456273601875, 2954312706456488224044, 717897987690170300348511]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-347}) \) |
$C_2$ |
simple |
| 1.243.ax |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 23 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$221$ |
$[221, 59007, 14353508, 3486900651, 847290165371, 205891139632464, 50031544894279169, 12157665452516667603, 2954312706450154782044, 717897987691126257159807]$ |
$221$ |
$[221, 59007, 14353508, 3486900651, 847290165371, 205891139632464, 50031544894279169, 12157665452516667603, 2954312706450154782044, 717897987691126257159807]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-443}) \) |
$C_2$ |
simple |
| 1.243.aw |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 22 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$222$ |
$[222, 59052, 14354298, 3486902496, 847289897742, 205891131740364, 50031544778149002, 12157665452084304768, 2954312706475402691454, 717897987691887454252332]$ |
$222$ |
$[222, 59052, 14354298, 3486902496, 847289897742, 205891131740364, 50031544778149002, 12157665452084304768, 2954312706475402691454, 717897987691887454252332]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-122}) \) |
$C_2$ |
simple |
| 1.243.au |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 20 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$224$ |
$[224, 59136, 14355488, 3486895104, 847289224544, 205891117496064, 50031544657558688, 12157665453775564800, 2954312706552476586464, 717897987693168817979136]$ |
$224$ |
$[224, 59136, 14355488, 3486895104, 847289224544, 205891117496064, 50031544657558688, 12157665453775564800, 2954312706552476586464, 717897987693168817979136]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-143}) \) |
$C_2$ |
simple |
| 1.243.at |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 19 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$225$ |
$[225, 59175, 14355900, 3486886875, 847288857375, 205891111904400, 50031544655137725, 12157665455529781875, 2954312706591676368900, 717897987693485696208375]$ |
$225$ |
$[225, 59175, 14355900, 3486886875, 847288857375, 205891111904400, 50031544655137725, 12157665455529781875, 2954312706591676368900, 717897987693485696208375]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-611}) \) |
$C_2$ |
simple |
| 1.243.ar |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 17 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$227$ |
$[227, 59247, 14356388, 3486863691, 847288139717, 205891104842064, 50031544749849407, 12157665459743752083, 2954312706647353217564, 717897987693326522534607]$ |
$227$ |
$[227, 59247, 14356388, 3486863691, 847288139717, 205891104842064, 50031544749849407, 12157665459743752083, 2954312706647353217564, 717897987693326522534607]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-683}) \) |
$C_2$ |
simple |
| 1.243.aq |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$228$ |
$[228, 59280, 14356476, 3486849600, 847287813588, 205891103517840, 50031544835163756, 12157665461779718400, 2954312706658510468548, 717897987692913779216400]$ |
$228$ |
$[228, 59280, 14356476, 3486849600, 847287813588, 205891103517840, 50031544835163756, 12157665461779718400, 2954312706658510468548, 717897987692913779216400]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-179}) \) |
$C_2$ |
simple |
| 1.243.ao |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$230$ |
$[230, 59340, 14356370, 3486818400, 847287272150, 205891105111020, 50031545046191330, 12157665464874633600, 2954312706645114001670, 717897987691758810746700]$ |
$230$ |
$[230, 59340, 14356370, 3486818400, 847287272150, 205891105111020, 50031545046191330, 12157665464874633600, 2954312706645114001670, 717897987691758810746700]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-194}) \) |
$C_2$ |
simple |
| 1.243.an |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$231$ |
$[231, 59367, 14356188, 3486802011, 847287069321, 205891107794064, 50031545157341979, 12157665465720420723, 2954312706623281921764, 717897987691175187134007]$ |
$231$ |
$[231, 59367, 14356188, 3486802011, 847287069321, 205891107794064, 50031545157341979, 12157665465720420723, 2954312706623281921764, 717897987691175187134007]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-803}) \) |
$C_2$ |
simple |
| 1.243.al |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 11 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$233$ |
$[233, 59415, 14355596, 3486769275, 847286817863, 205891116063120, 50031545358007061, 12157665465801671475, 2954312706562087081268, 717897987690337403509575]$ |
$233$ |
$[233, 59415, 14355596, 3486769275, 847286817863, 205891116063120, 50031545358007061, 12157665465801671475, 2954312706562087081268, 717897987690337403509575]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-851}) \) |
$C_2$ |
simple |
| 1.243.ak |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 10 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$234$ |
$[234, 59436, 14355198, 3486753504, 847286771994, 205891121228364, 50031545436837198, 12157665465075811200, 2954312706528928012554, 717897987690170943486636]$ |
$234$ |
$[234, 59436, 14355198, 3486753504, 847286771994, 205891121228364, 50031545436837198, 12157665465075811200, 2954312706528928012554, 717897987690170943486636]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-218}) \) |
$C_2$ |
simple |
| 1.243.ai |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 8 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$236$ |
$[236, 59472, 14354228, 3486724416, 847286836796, 205891132490064, 50031545532916484, 12157665462432177408, 2954312706472393910924, 717897987690404885057232]$ |
$236$ |
$[236, 59472, 14354228, 3486724416, 847286836796, 205891132490064, 50031545532916484, 12157665462432177408, 2954312706472393910924, 717897987690404885057232]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-227}) \) |
$C_2$ |
simple |
| 1.243.ah |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 7 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$237$ |
$[237, 59487, 14353668, 3486711531, 847286942667, 205891138134864, 50031545546308017, 12157665460720314963, 2954312706453781482684, 717897987690769020421407]$ |
$237$ |
$[237, 59487, 14353668, 3486711531, 847286942667, 205891138134864, 50031545546308017, 12157665460720314963, 2954312706453781482684, 717897987690769020421407]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-923}) \) |
$C_2$ |
simple |
| 1.243.af |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 5 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$239$ |
$[239, 59511, 14352428, 3486689979, 847287281969, 205891148402064, 50031545503113203, 12157665457114794675, 2954312706442923448724, 717897987691784976113511]$ |
$239$ |
$[239, 59511, 14352428, 3486689979, 847287281969, 205891148402064, 50031545503113203, 12157665457114794675, 2954312706442923448724, 717897987691784976113511]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-947}) \) |
$C_2$ |
simple |
| 1.243.ae |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 4 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$240$ |
$[240, 59520, 14351760, 3486681600, 847287505200, 205891152658560, 50031545449586640, 12157665455462246400, 2954312706451262344560, 717897987692327811177600]$ |
$240$ |
$[240, 59520, 14351760, 3486681600, 847287505200, 205891152658560, 50031545449586640, 12157665455462246400, 2954312706451262344560, 717897987692327811177600]$ |
$30$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-239}) \) |
$C_2$ |
simple |
| 1.243.ac |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 - 2 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$242$ |
$[242, 59532, 14350358, 3486670176, 847288028642, 205891158689964, 50031545293325222, 12157665452982918528, 2954312706491464578194, 717897987693209835025932]$ |
$242$ |
$[242, 59532, 14350358, 3486670176, 847288028642, 205891158689964, 50031545293325222, 12157665452982918528, 2954312706491464578194, 717897987693209835025932]$ |
$11$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
simple |
| 1.243.ab |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$243$ |
$[243, 59535, 14349636, 3486667275, 847288315413, 205891160262480, 50031545198617071, 12157665452311763475, 2954312706519881514108, 717897987693460711760175]$ |
$243$ |
$[243, 59535, 14349636, 3486667275, 847288315413, 205891160262480, 50031545198617071, 12157665452311763475, 2954312706519881514108, 717897987693460711760175]$ |
$15$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-971}) \) |
$C_2$ |
simple |
| 1.243.a |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
|
|
✓ |
✓ |
✓ |
✓ |
$1 + 243 x^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$244$ |
$[244, 59536, 14348908, 3486666304, 847288609444, 205891160792464, 50031545098999708, 12157665452083360000, 2954312706550833698644, 717897987693547165989136]$ |
$244$ |
$[244, 59536, 14348908, 3486666304, 847288609444, 205891160792464, 50031545098999708, 12157665452083360000, 2954312706550833698644, 717897987693547165989136]$ |
$2$ |
$0$ |
$3$ |
$6$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.243.b |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$245$ |
$[245, 59535, 14348180, 3486667275, 847288903475, 205891160262480, 50031544999382345, 12157665452311763475, 2954312706581785883180, 717897987693460711760175]$ |
$245$ |
$[245, 59535, 14348180, 3486667275, 847288903475, 205891160262480, 50031544999382345, 12157665452311763475, 2954312706581785883180, 717897987693460711760175]$ |
$15$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-971}) \) |
$C_2$ |
simple |
| 1.243.c |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 + 2 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$246$ |
$[246, 59532, 14347458, 3486670176, 847289190246, 205891158689964, 50031544904674194, 12157665452982918528, 2954312706610202819094, 717897987693209835025932]$ |
$246$ |
$[246, 59532, 14347458, 3486670176, 847289190246, 205891158689964, 50031544904674194, 12157665452982918528, 2954312706610202819094, 717897987693209835025932]$ |
$11$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
simple |
| 1.243.e |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 4 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$248$ |
$[248, 59520, 14346056, 3486681600, 847289713688, 205891152658560, 50031544748412776, 12157665455462246400, 2954312706650405052728, 717897987692327811177600]$ |
$248$ |
$[248, 59520, 14346056, 3486681600, 847289713688, 205891152658560, 50031544748412776, 12157665455462246400, 2954312706650405052728, 717897987692327811177600]$ |
$30$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-239}) \) |
$C_2$ |
simple |
| 1.243.f |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 5 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$249$ |
$[249, 59511, 14345388, 3486689979, 847289936919, 205891148402064, 50031544694886213, 12157665457114794675, 2954312706658743948564, 717897987691784976113511]$ |
$249$ |
$[249, 59511, 14345388, 3486689979, 847289936919, 205891148402064, 50031544694886213, 12157665457114794675, 2954312706658743948564, 717897987691784976113511]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-947}) \) |
$C_2$ |
simple |
| 1.243.h |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 7 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$251$ |
$[251, 59487, 14344148, 3486711531, 847290276221, 205891138134864, 50031544651691399, 12157665460720314963, 2954312706647885914604, 717897987690769020421407]$ |
$251$ |
$[251, 59487, 14344148, 3486711531, 847290276221, 205891138134864, 50031544651691399, 12157665460720314963, 2954312706647885914604, 717897987690769020421407]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-923}) \) |
$C_2$ |
simple |
| 1.243.i |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 8 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$252$ |
$[252, 59472, 14343588, 3486724416, 847290382092, 205891132490064, 50031544665082932, 12157665462432177408, 2954312706629273486364, 717897987690404885057232]$ |
$252$ |
$[252, 59472, 14343588, 3486724416, 847290382092, 205891132490064, 50031544665082932, 12157665462432177408, 2954312706629273486364, 717897987690404885057232]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-227}) \) |
$C_2$ |
simple |
| 1.243.k |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 10 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$254$ |
$[254, 59436, 14342618, 3486753504, 847290446894, 205891121228364, 50031544761162218, 12157665465075811200, 2954312706572739384734, 717897987690170943486636]$ |
$254$ |
$[254, 59436, 14342618, 3486753504, 847290446894, 205891121228364, 50031544761162218, 12157665465075811200, 2954312706572739384734, 717897987690170943486636]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-218}) \) |
$C_2$ |
simple |
| 1.243.l |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 11 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$255$ |
$[255, 59415, 14342220, 3486769275, 847290401025, 205891116063120, 50031544839992355, 12157665465801671475, 2954312706539580316020, 717897987690337403509575]$ |
$255$ |
$[255, 59415, 14342220, 3486769275, 847290401025, 205891116063120, 50031544839992355, 12157665465801671475, 2954312706539580316020, 717897987690337403509575]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-851}) \) |
$C_2$ |
simple |
| 1.243.n |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 13 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$257$ |
$[257, 59367, 14341628, 3486802011, 847290149567, 205891107794064, 50031545040657437, 12157665465720420723, 2954312706478385475524, 717897987691175187134007]$ |
$257$ |
$[257, 59367, 14341628, 3486802011, 847290149567, 205891107794064, 50031545040657437, 12157665465720420723, 2954312706478385475524, 717897987691175187134007]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-803}) \) |
$C_2$ |
simple |
| 1.243.o |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 14 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$258$ |
$[258, 59340, 14341446, 3486818400, 847289946738, 205891105111020, 50031545151808086, 12157665464874633600, 2954312706456553395618, 717897987691758810746700]$ |
$258$ |
$[258, 59340, 14341446, 3486818400, 847289946738, 205891105111020, 50031545151808086, 12157665464874633600, 2954312706456553395618, 717897987691758810746700]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-194}) \) |
$C_2$ |
simple |
| 1.243.q |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 16 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$260$ |
$[260, 59280, 14341340, 3486849600, 847289405300, 205891103517840, 50031545362835660, 12157665461779718400, 2954312706443156928740, 717897987692913779216400]$ |
$260$ |
$[260, 59280, 14341340, 3486849600, 847289405300, 205891103517840, 50031545362835660, 12157665461779718400, 2954312706443156928740, 717897987692913779216400]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-179}) \) |
$C_2$ |
simple |
| 1.243.r |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 17 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$261$ |
$[261, 59247, 14341428, 3486863691, 847289079171, 205891104842064, 50031545448150009, 12157665459743752083, 2954312706454314179724, 717897987693326522534607]$ |
$261$ |
$[261, 59247, 14341428, 3486863691, 847289079171, 205891104842064, 50031545448150009, 12157665459743752083, 2954312706454314179724, 717897987693326522534607]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-683}) \) |
$C_2$ |
simple |
| 1.243.t |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 19 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$263$ |
$[263, 59175, 14341916, 3486886875, 847288361513, 205891111904400, 50031545542861691, 12157665455529781875, 2954312706509991028388, 717897987693485696208375]$ |
$263$ |
$[263, 59175, 14341916, 3486886875, 847288361513, 205891111904400, 50031545542861691, 12157665455529781875, 2954312706509991028388, 717897987693485696208375]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-611}) \) |
$C_2$ |
simple |
| 1.243.u |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 20 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$264$ |
$[264, 59136, 14342328, 3486895104, 847287994344, 205891117496064, 50031545540440728, 12157665453775564800, 2954312706549190810824, 717897987693168817979136]$ |
$264$ |
$[264, 59136, 14342328, 3486895104, 847287994344, 205891117496064, 50031545540440728, 12157665453775564800, 2954312706549190810824, 717897987693168817979136]$ |
$20$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-143}) \) |
$C_2$ |
simple |
| 1.243.w |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 22 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$266$ |
$[266, 59052, 14343518, 3486902496, 847287321146, 205891131740364, 50031545419850414, 12157665452084304768, 2954312706626264705834, 717897987691887454252332]$ |
$266$ |
$[266, 59052, 14343518, 3486902496, 847287321146, 205891131740364, 50031545419850414, 12157665452084304768, 2954312706626264705834, 717897987691887454252332]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-122}) \) |
$C_2$ |
simple |
| 1.243.x |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 23 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$267$ |
$[267, 59007, 14344308, 3486900651, 847287053517, 205891139632464, 50031545303720247, 12157665452516667603, 2954312706651512615244, 717897987691126257159807]$ |
$267$ |
$[267, 59007, 14344308, 3486900651, 847287053517, 205891139632464, 50031545303720247, 12157665452516667603, 2954312706651512615244, 717897987691126257159807]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-443}) \) |
$C_2$ |
simple |
| 1.243.z |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 25 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$269$ |
$[269, 58911, 14346308, 3486883179, 847286771819, 205891154032464, 50031544997097233, 12157665456273601875, 2954312706645179173244, 717897987690170300348511]$ |
$269$ |
$[269, 58911, 14346308, 3486883179, 847286771819, 205891154032464, 50031544997097233, 12157665456273601875, 2954312706645179173244, 717897987690170300348511]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-347}) \) |
$C_2$ |
simple |
| 1.243.ba |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 26 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$270$ |
$[270, 58860, 14347530, 3486866400, 847286812350, 205891158893580, 50031544838921370, 12157665459306825600, 2954312706607535418030, 717897987690317619144300]$ |
$270$ |
$[270, 58860, 14347530, 3486866400, 847286812350, 205891158893580, 50031544838921370, 12157665459306825600, 2954312706607535418030, 717897987690317619144300]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-74}) \) |
$C_2$ |
simple |
| 1.243.bb |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
|
|
✓ |
✓ |
✓ |
✓ |
$1 + 27 x + 243 x^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$271$ |
$[271, 58807, 14348908, 3486843451, 847287015121, 205891160792464, 50031544711579219, 12157665462543713203, 2954312706550833698644, 717897987691005300160807]$ |
$271$ |
$[271, 58807, 14348908, 3486843451, 847287015121, 205891160792464, 50031544711579219, 12157665462543713203, 2954312706550833698644, 717897987691005300160807]$ |
$1$ |
$0$ |
$3$ |
$6$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$C_2$ |
simple |
| 1.243.bc |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 28 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$272$ |
$[272, 58752, 14350448, 3486813696, 847287414992, 205891158420864, 50031544652117552, 12157665465172359168, 2954312706488194012304, 717897987692120450408832]$ |
$272$ |
$[272, 58752, 14350448, 3486813696, 847287414992, 205891158420864, 50031544652117552, 12157665465172359168, 2954312706488194012304, 717897987692120450408832]$ |
$10$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-47}) \) |
$C_2$ |
simple |
| 1.243.bd |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 29 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$273$ |
$[273, 58695, 14352156, 3486776475, 847288050063, 205891150242960, 50031544708628301, 12157665465967660275, 2954312706445282737828, 717897987693234258885975]$ |
$273$ |
$[273, 58695, 14352156, 3486776475, 847288050063, 205891150242960, 50031544708628301, 12157665465967660275, 2954312706445282737828, 717897987693234258885975]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-131}) \) |
$C_2$ |
simple |
| 1.243.bf |
$1$ |
$\F_{3^{5}}$ |
$3$ |
✓ |
✓ |
|
✓ |
|
|
✓ |
✓ |
$1 + 31 x + 243 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$275$ |
$[275, 58575, 14356100, 3486676875, 847290195125, 205891109067600, 50031545427517775, 12157665454468441875, 2954312706613246903100, 717897987691032781755375]$ |
$275$ |
$[275, 58575, 14356100, 3486676875, 847290195125, 205891109067600, 50031545427517775, 12157665454468441875, 2954312706613246903100, 717897987691032781755375]$ |
$1$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$C_2$ |
simple |