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 |
1.89.as |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 18 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$72$ |
$[72, 7776, 703944, 62736768, 5584052232, 496981648224, 44231341968648, 3936588901221888, 350356404797334216, 31181719941082202976]$ |
$72$ |
$[72, 7776, 703944, 62736768, 5584052232, 496981648224, 44231341968648, 3936588901221888, 350356404797334216, 31181719941082202976]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
simple |
1.89.ar |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 17 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$73$ |
$[73, 7811, 704596, 62745763, 5584152593, 496982561024, 44231348196857, 3936588918789123, 350356404446146804, 31181719932458684051]$ |
$73$ |
$[73, 7811, 704596, 62745763, 5584152593, 496982561024, 44231348196857, 3936588918789123, 350356404446146804, 31181719932458684051]$ |
$1$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-67}) \) |
$C_2$ |
simple |
1.89.aq |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 16 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$74$ |
$[74, 7844, 705146, 62752000, 5584199914, 496982669924, 44231344457626, 3936588835968000, 350356403340713354, 31181719921404167204]$ |
$74$ |
$[74, 7844, 705146, 62752000, 5584199914, 496982669924, 44231344457626, 3936588835968000, 350356403340713354, 31181719921404167204]$ |
$3$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
1.89.ap |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 15 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$75$ |
$[75, 7875, 705600, 62755875, 5584207875, 496982304000, 44231336881275, 3936588745327875, 350356402625140800, 31181719919104321875]$ |
$75$ |
$[75, 7875, 705600, 62755875, 5584207875, 496982304000, 44231336881275, 3936588745327875, 350356402625140800, 31181719919104321875]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-131}) \) |
$C_2$ |
simple |
1.89.ao |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 14 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$76$ |
$[76, 7904, 705964, 62757760, 5584188236, 496981712864, 44231329340204, 3936588690378240, 350356402587375436, 31181719924548468704]$ |
$76$ |
$[76, 7904, 705964, 62757760, 5584188236, 496981712864, 44231329340204, 3936588690378240, 350356402587375436, 31181719924548468704]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-10}) \) |
$C_2$ |
simple |
1.89.an |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 13 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$77$ |
$[77, 7931, 706244, 62758003, 5584150957, 496981077824, 44231323980613, 3936588682777443, 350356403080892516, 31181719932760771451]$ |
$77$ |
$[77, 7931, 706244, 62758003, 5584150957, 496981077824, 44231323980613, 3936588682777443, 350356403080892516, 31181719932760771451]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-187}) \) |
$C_2$ |
simple |
1.89.am |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 12 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$78$ |
$[78, 7956, 706446, 62756928, 5584104318, 496980522324, 44231321678622, 3936588715507968, 350356403801460654, 31181719939121165076]$ |
$78$ |
$[78, 7956, 706446, 62756928, 5584104318, 496980522324, 44231321678622, 3936588715507968, 350356403801460654, 31181719939121165076]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-53}) \) |
$C_2$ |
simple |
1.89.al |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 11 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$79$ |
$[79, 7979, 706576, 62754835, 5584055039, 496980121664, 44231322425831, 3936588772602915, 350356404453197584, 31181719941114845579]$ |
$79$ |
$[79, 7979, 706576, 62754835, 5584055039, 496980121664, 44231322425831, 3936588772602915, 350356404453197584, 31181719941114845579]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-235}) \) |
$C_2$ |
simple |
1.89.ak |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 10 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$80$ |
$[80, 8000, 706640, 62752000, 5584008400, 496979912000, 44231325649360, 3936588835968000, 350356404833053520, 31181719938528200000]$ |
$80$ |
$[80, 8000, 706640, 62752000, 5584008400, 496979912000, 44231325649360, 3936588835968000, 350356404833053520, 31181719938528200000]$ |
$8$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
1.89.aj |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 9 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$81$ |
$[81, 8019, 706644, 62748675, 5583968361, 496979898624, 44231330471409, 3936588889803075, 350356404858140916, 31181719932837096579]$ |
$81$ |
$[81, 8019, 706644, 62748675, 5583968361, 496979898624, 44231330471409, 3936588889803075, 350356404858140916, 31181719932837096579]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$C_2$ |
simple |
1.89.ai |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 8 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$82$ |
$[82, 8036, 706594, 62745088, 5583937682, 496980063524, 44231335913378, 3936588923086848, 350356404555974866, 31181719926306856676]$ |
$82$ |
$[82, 8036, 706594, 62745088, 5583937682, 496980063524, 44231335913378, 3936588923086848, 350356404555974866, 31181719926306856676]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-73}) \) |
$C_2$ |
simple |
1.89.ah |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 7 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$83$ |
$[83, 8051, 706496, 62741443, 5583918043, 496980372224, 44231341049587, 3936588930548163, 350356404033696704, 31181719921138362851]$ |
$83$ |
$[83, 8051, 706496, 62741443, 5583918043, 496980372224, 44231341049587, 3936588930548163, 350356404033696704, 31181719921138362851]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-307}) \) |
$C_2$ |
simple |
1.89.ag |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 6 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$84$ |
$[84, 8064, 706356, 62737920, 5583910164, 496980779904, 44231345115636, 3936588912506880, 350356403438724564, 31181719918847992704]$ |
$84$ |
$[84, 8064, 706356, 62737920, 5583910164, 496980779904, 44231345115636, 3936588912506880, 350356403438724564, 31181719918847992704]$ |
$14$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-5}) \) |
$C_2$ |
simple |
1.89.af |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 5 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$85$ |
$[85, 8075, 706180, 62734675, 5583913925, 496981236800, 44231347576445, 3936588873927075, 350356402920008740, 31181719919956776875]$ |
$85$ |
$[85, 8075, 706180, 62734675, 5583913925, 496981236800, 44231347576445, 3936588873927075, 350356402920008740, 31181719919956776875]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-331}) \) |
$C_2$ |
simple |
1.89.ae |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 4 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$86$ |
$[86, 8084, 705974, 62731840, 5583928486, 496981692884, 44231348159014, 3936588822984960, 350356402596166646, 31181719923982733204]$ |
$86$ |
$[86, 8084, 705974, 62731840, 5583928486, 496981692884, 44231348159014, 3936588822984960, 350356402596166646, 31181719923982733204]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-85}) \) |
$C_2$ |
simple |
1.89.ad |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 3 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$87$ |
$[87, 8091, 705744, 62729523, 5583952407, 496982101824, 44231346854943, 3936588769413603, 350356402534232016, 31181719929676098651]$ |
$87$ |
$[87, 8091, 705744, 62729523, 5583952407, 496982101824, 44231346854943, 3936588769413603, 350356402534232016, 31181719929676098651]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-347}) \) |
$C_2$ |
simple |
1.89.ac |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - 2 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$88$ |
$[88, 8096, 705496, 62727808, 5583983768, 496982424224, 44231343897752, 3936588722846208, 350356402740575704, 31181719935406537376]$ |
$88$ |
$[88, 8096, 705496, 62727808, 5583983768, 496982424224, 44231343897752, 3936588722846208, 350356402740575704, 31181719935406537376]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-22}) \) |
$C_2$ |
simple |
1.89.ab |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 - x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$89$ |
$[89, 8099, 705236, 62726755, 5584020289, 496982630144, 44231339720041, 3936588691339395, 350356403163741044, 31181719939600718579]$ |
$89$ |
$[89, 8099, 705236, 62726755, 5584020289, 496982630144, 44231339720041, 3936588691339395, 350356403163741044, 31181719939600718579]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-355}) \) |
$C_2$ |
simple |
1.89.a |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
|
✓ |
✓ |
✓ |
✓ |
$1 + 89 x^{2}$ |
$[\frac{1}{2},\frac{1}{2}]$ |
$1$ |
$0$ |
$1$ |
$0$ |
$1$ |
$90$ |
$[90, 8100, 704970, 62726400, 5584059450, 496982700900, 44231334895530, 3936588680217600, 350356403707485210, 31181719941134302500]$ |
$90$ |
$[90, 8100, 704970, 62726400, 5584059450, 496982700900, 44231334895530, 3936588680217600, 350356403707485210, 31181719941134302500]$ |
$12$ |
$0$ |
$1$ |
$1$ |
$2$ |
\(\Q(\sqrt{-89}) \) |
$C_2$ |
simple |
1.89.b |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$91$ |
$[91, 8099, 704704, 62726755, 5584098611, 496982630144, 44231330071019, 3936588691339395, 350356404251229376, 31181719939600718579]$ |
$91$ |
$[91, 8099, 704704, 62726755, 5584098611, 496982630144, 44231330071019, 3936588691339395, 350356404251229376, 31181719939600718579]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-355}) \) |
$C_2$ |
simple |
1.89.c |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 2 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$92$ |
$[92, 8096, 704444, 62727808, 5584135132, 496982424224, 44231325893308, 3936588722846208, 350356404674394716, 31181719935406537376]$ |
$92$ |
$[92, 8096, 704444, 62727808, 5584135132, 496982424224, 44231325893308, 3936588722846208, 350356404674394716, 31181719935406537376]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-22}) \) |
$C_2$ |
simple |
1.89.d |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 3 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$93$ |
$[93, 8091, 704196, 62729523, 5584166493, 496982101824, 44231322936117, 3936588769413603, 350356404880738404, 31181719929676098651]$ |
$93$ |
$[93, 8091, 704196, 62729523, 5584166493, 496982101824, 44231322936117, 3936588769413603, 350356404880738404, 31181719929676098651]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-347}) \) |
$C_2$ |
simple |
1.89.e |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 4 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$94$ |
$[94, 8084, 703966, 62731840, 5584190414, 496981692884, 44231321632046, 3936588822984960, 350356404818803774, 31181719923982733204]$ |
$94$ |
$[94, 8084, 703966, 62731840, 5584190414, 496981692884, 44231321632046, 3936588822984960, 350356404818803774, 31181719923982733204]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-85}) \) |
$C_2$ |
simple |
1.89.f |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 5 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$95$ |
$[95, 8075, 703760, 62734675, 5584204975, 496981236800, 44231322214615, 3936588873927075, 350356404494961680, 31181719919956776875]$ |
$95$ |
$[95, 8075, 703760, 62734675, 5584204975, 496981236800, 44231322214615, 3936588873927075, 350356404494961680, 31181719919956776875]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-331}) \) |
$C_2$ |
simple |
1.89.g |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 6 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$96$ |
$[96, 8064, 703584, 62737920, 5584208736, 496980779904, 44231324675424, 3936588912506880, 350356403976245856, 31181719918847992704]$ |
$96$ |
$[96, 8064, 703584, 62737920, 5584208736, 496980779904, 44231324675424, 3936588912506880, 350356403976245856, 31181719918847992704]$ |
$14$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-5}) \) |
$C_2$ |
simple |
1.89.h |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 7 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$97$ |
$[97, 8051, 703444, 62741443, 5584200857, 496980372224, 44231328741473, 3936588930548163, 350356403381273716, 31181719921138362851]$ |
$97$ |
$[97, 8051, 703444, 62741443, 5584200857, 496980372224, 44231328741473, 3936588930548163, 350356403381273716, 31181719921138362851]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-307}) \) |
$C_2$ |
simple |
1.89.i |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 8 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$98$ |
$[98, 8036, 703346, 62745088, 5584181218, 496980063524, 44231333877682, 3936588923086848, 350356402858995554, 31181719926306856676]$ |
$98$ |
$[98, 8036, 703346, 62745088, 5584181218, 496980063524, 44231333877682, 3936588923086848, 350356402858995554, 31181719926306856676]$ |
$4$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-73}) \) |
$C_2$ |
simple |
1.89.j |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 9 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$99$ |
$[99, 8019, 703296, 62748675, 5584150539, 496979898624, 44231339319651, 3936588889803075, 350356402556829504, 31181719932837096579]$ |
$99$ |
$[99, 8019, 703296, 62748675, 5584150539, 496979898624, 44231339319651, 3936588889803075, 350356402556829504, 31181719932837096579]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$C_2$ |
simple |
1.89.k |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 10 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$100$ |
$[100, 8000, 703300, 62752000, 5584110500, 496979912000, 44231344141700, 3936588835968000, 350356402581916900, 31181719938528200000]$ |
$100$ |
$[100, 8000, 703300, 62752000, 5584110500, 496979912000, 44231344141700, 3936588835968000, 350356402581916900, 31181719938528200000]$ |
$8$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
1.89.l |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 11 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$101$ |
$[101, 7979, 703364, 62754835, 5584063861, 496980121664, 44231347365229, 3936588772602915, 350356402961772836, 31181719941114845579]$ |
$101$ |
$[101, 7979, 703364, 62754835, 5584063861, 496980121664, 44231347365229, 3936588772602915, 350356402961772836, 31181719941114845579]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-235}) \) |
$C_2$ |
simple |
1.89.m |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 12 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$102$ |
$[102, 7956, 703494, 62756928, 5584014582, 496980522324, 44231348112438, 3936588715507968, 350356403613509766, 31181719939121165076]$ |
$102$ |
$[102, 7956, 703494, 62756928, 5584014582, 496980522324, 44231348112438, 3936588715507968, 350356403613509766, 31181719939121165076]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-53}) \) |
$C_2$ |
simple |
1.89.n |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 13 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$103$ |
$[103, 7931, 703696, 62758003, 5583967943, 496981077824, 44231345810447, 3936588682777443, 350356404334077904, 31181719932760771451]$ |
$103$ |
$[103, 7931, 703696, 62758003, 5583967943, 496981077824, 44231345810447, 3936588682777443, 350356404334077904, 31181719932760771451]$ |
$2$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-187}) \) |
$C_2$ |
simple |
1.89.o |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 14 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$104$ |
$[104, 7904, 703976, 62757760, 5583930664, 496981712864, 44231340450856, 3936588690378240, 350356404827594984, 31181719924548468704]$ |
$104$ |
$[104, 7904, 703976, 62757760, 5583930664, 496981712864, 44231340450856, 3936588690378240, 350356404827594984, 31181719924548468704]$ |
$6$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-10}) \) |
$C_2$ |
simple |
1.89.p |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 15 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$105$ |
$[105, 7875, 704340, 62755875, 5583911025, 496982304000, 44231332909785, 3936588745327875, 350356404789829620, 31181719919104321875]$ |
$105$ |
$[105, 7875, 704340, 62755875, 5583911025, 496982304000, 44231332909785, 3936588745327875, 350356404789829620, 31181719919104321875]$ |
$5$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-131}) \) |
$C_2$ |
simple |
1.89.q |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 16 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$106$ |
$[106, 7844, 704794, 62752000, 5583918986, 496982669924, 44231325333434, 3936588835968000, 350356404074257066, 31181719921404167204]$ |
$106$ |
$[106, 7844, 704794, 62752000, 5583918986, 496982669924, 44231325333434, 3936588835968000, 350356404074257066, 31181719921404167204]$ |
$3$ |
$0$ |
$4$ |
$4$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$C_2$ |
simple |
1.89.r |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 17 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$107$ |
$[107, 7811, 705344, 62745763, 5583966307, 496982561024, 44231321594203, 3936588918789123, 350356402968823616, 31181719932458684051]$ |
$107$ |
$[107, 7811, 705344, 62745763, 5583966307, 496982561024, 44231321594203, 3936588918789123, 350356402968823616, 31181719932458684051]$ |
$1$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-67}) \) |
$C_2$ |
simple |
1.89.s |
$1$ |
$\F_{89}$ |
$89$ |
✓ |
✓ |
✓ |
✓ |
|
|
✓ |
✓ |
$1 + 18 x + 89 x^{2}$ |
$[0,1]$ |
$0$ |
$1$ |
$0$ |
$1$ |
$0$ |
$108$ |
$[108, 7776, 705996, 62736768, 5584066668, 496981648224, 44231327822412, 3936588901221888, 350356402617636204, 31181719941082202976]$ |
$108$ |
$[108, 7776, 705996, 62736768, 5584066668, 496981648224, 44231327822412, 3936588901221888, 350356402617636204, 31181719941082202976]$ |
$3$ |
$0$ |
$2$ |
$2$ |
$1$ |
\(\Q(\sqrt{-2}) \) |
$C_2$ |
simple |