Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(152,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.152");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bf (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 185.15 | ||
Character | \(\chi\) | \(=\) | 273.185 |
Dual form | 273.2.bf.b.152.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.473030 | − | 0.273104i | −0.334483 | − | 0.193114i | 0.323347 | − | 0.946281i | \(-0.395192\pi\) |
−0.657830 | + | 0.753167i | \(0.728525\pi\) | |||||||
\(3\) | 0.966120 | − | 1.43757i | 0.557789 | − | 0.829982i | ||||
\(4\) | −0.850828 | − | 1.47368i | −0.425414 | − | 0.736839i | ||||
\(5\) | −1.25657 | − | 2.17644i | −0.561955 | − | 0.973335i | −0.997326 | − | 0.0730836i | \(-0.976716\pi\) |
0.435371 | − | 0.900251i | \(-0.356617\pi\) | |||||||
\(6\) | −0.849611 | + | 0.416164i | −0.346852 | + | 0.169898i | ||||
\(7\) | 2.53535 | − | 0.756296i | 0.958273 | − | 0.285853i | ||||
\(8\) | 2.02188i | 0.714841i | ||||||||
\(9\) | −1.13323 | − | 2.77773i | −0.377742 | − | 0.925911i | ||||
\(10\) | 1.37270i | 0.434085i | ||||||||
\(11\) | 6.02763i | 1.81740i | 0.417450 | + | 0.908700i | \(0.362924\pi\) | ||||
−0.417450 | + | 0.908700i | \(0.637076\pi\) | |||||||
\(12\) | −2.94052 | − | 0.200622i | −0.848855 | − | 0.0579147i | ||||
\(13\) | −1.89716 | − | 3.06607i | −0.526176 | − | 0.850376i | ||||
\(14\) | −1.40585 | − | 0.334664i | −0.375728 | − | 0.0894428i | ||||
\(15\) | −4.34279 | − | 0.296295i | −1.12130 | − | 0.0765030i | ||||
\(16\) | −1.14947 | + | 1.99095i | −0.287369 | + | 0.497737i | ||||
\(17\) | −0.323651 | − | 0.560581i | −0.0784970 | − | 0.135961i | 0.824105 | − | 0.566438i | \(-0.191679\pi\) |
−0.902602 | + | 0.430477i | \(0.858345\pi\) | |||||||
\(18\) | −0.222560 | + | 1.62344i | −0.0524580 | + | 0.382649i | ||||
\(19\) | − | 2.29555i | − | 0.526636i | −0.964709 | − | 0.263318i | \(-0.915183\pi\) | ||
0.964709 | − | 0.263318i | \(-0.0848168\pi\) | |||||||
\(20\) | −2.13825 | + | 3.70356i | −0.478127 | + | 0.828141i | ||||
\(21\) | 1.36222 | − | 4.37543i | 0.297262 | − | 0.954796i | ||||
\(22\) | 1.64617 | − | 2.85125i | 0.350965 | − | 0.607889i | ||||
\(23\) | −0.894874 | − | 0.516656i | −0.186594 | − | 0.107730i | 0.403793 | − | 0.914850i | \(-0.367692\pi\) |
−0.590387 | + | 0.807120i | \(0.701025\pi\) | |||||||
\(24\) | 2.90659 | + | 1.95337i | 0.593305 | + | 0.398731i | ||||
\(25\) | −0.657937 | + | 1.13958i | −0.131587 | + | 0.227916i | ||||
\(26\) | 0.0600548 | + | 1.96847i | 0.0117777 | + | 0.386048i | ||||
\(27\) | −5.08802 | − | 1.05453i | −0.979190 | − | 0.202944i | ||||
\(28\) | −3.27169 | − | 3.09282i | −0.618291 | − | 0.584487i | ||||
\(29\) | 4.46255 | − | 2.57646i | 0.828676 | − | 0.478436i | −0.0247234 | − | 0.999694i | \(-0.507871\pi\) |
0.853399 | + | 0.521258i | \(0.174537\pi\) | |||||||
\(30\) | 1.97335 | + | 1.32619i | 0.360283 | + | 0.242128i | ||||
\(31\) | 9.25745 | + | 5.34479i | 1.66269 | + | 0.959953i | 0.971424 | + | 0.237351i | \(0.0762792\pi\) |
0.691264 | + | 0.722602i | \(0.257054\pi\) | |||||||
\(32\) | 4.58946 | − | 2.64973i | 0.811310 | − | 0.468410i | ||||
\(33\) | 8.66515 | + | 5.82341i | 1.50841 | + | 1.01373i | ||||
\(34\) | 0.353562i | 0.0606354i | ||||||||
\(35\) | −4.83188 | − | 4.56771i | −0.816738 | − | 0.772084i | ||||
\(36\) | −3.12930 | + | 4.03338i | −0.521551 | + | 0.672230i | ||||
\(37\) | 1.97766 | − | 3.42541i | 0.325126 | − | 0.563134i | −0.656412 | − | 0.754402i | \(-0.727927\pi\) |
0.981538 | + | 0.191268i | \(0.0612601\pi\) | |||||||
\(38\) | −0.626924 | + | 1.08587i | −0.101701 | + | 0.176151i | ||||
\(39\) | −6.24058 | − | 0.234896i | −0.999292 | − | 0.0376135i | ||||
\(40\) | 4.40050 | − | 2.54063i | 0.695780 | − | 0.401709i | ||||
\(41\) | −4.48689 | − | 7.77153i | −0.700735 | − | 1.21371i | −0.968209 | − | 0.250143i | \(-0.919522\pi\) |
0.267474 | − | 0.963565i | \(-0.413811\pi\) | |||||||
\(42\) | −1.83932 | + | 1.69768i | −0.283813 | + | 0.261958i | ||||
\(43\) | −4.09951 | + | 7.10056i | −0.625169 | + | 1.08282i | 0.363339 | + | 0.931657i | \(0.381637\pi\) |
−0.988508 | + | 0.151168i | \(0.951697\pi\) | |||||||
\(44\) | 8.88279 | − | 5.12848i | 1.33913 | − | 0.773147i | ||||
\(45\) | −4.62160 | + | 5.95682i | −0.688948 | + | 0.887990i | ||||
\(46\) | 0.282202 | + | 0.488787i | 0.0416084 | + | 0.0720678i | ||||
\(47\) | −2.09646 | − | 3.63118i | −0.305800 | − | 0.529662i | 0.671639 | − | 0.740879i | \(-0.265591\pi\) |
−0.977439 | + | 0.211217i | \(0.932257\pi\) | |||||||
\(48\) | 1.75160 | + | 3.57594i | 0.252822 | + | 0.516143i | ||||
\(49\) | 5.85603 | − | 3.83496i | 0.836576 | − | 0.547851i | ||||
\(50\) | 0.622448 | − | 0.359370i | 0.0880274 | − | 0.0508226i | ||||
\(51\) | −1.11856 | − | 0.0763159i | −0.156630 | − | 0.0106864i | ||||
\(52\) | −2.90425 | + | 5.40450i | −0.402747 | + | 0.749469i | ||||
\(53\) | −0.0406517 | − | 0.0234703i | −0.00558394 | − | 0.00322389i | 0.497205 | − | 0.867633i | \(-0.334360\pi\) |
−0.502789 | + | 0.864409i | \(0.667693\pi\) | |||||||
\(54\) | 2.11879 | + | 1.88838i | 0.288331 | + | 0.256977i | ||||
\(55\) | 13.1188 | − | 7.57414i | 1.76894 | − | 1.02130i | ||||
\(56\) | 1.52914 | + | 5.12617i | 0.204339 | + | 0.685013i | ||||
\(57\) | −3.30002 | − | 2.21778i | −0.437098 | − | 0.293752i | ||||
\(58\) | −2.81456 | −0.369570 | ||||||||
\(59\) | −0.831148 | − | 1.43959i | −0.108206 | − | 0.187419i | 0.806837 | − | 0.590774i | \(-0.201177\pi\) |
−0.915044 | + | 0.403355i | \(0.867844\pi\) | |||||||
\(60\) | 3.25833 | + | 6.65197i | 0.420648 | + | 0.858766i | ||||
\(61\) | 3.59276i | 0.460006i | 0.973190 | + | 0.230003i | \(0.0738736\pi\) | ||||
−0.973190 | + | 0.230003i | \(0.926126\pi\) | |||||||
\(62\) | −2.91937 | − | 5.05650i | −0.370760 | − | 0.642176i | ||||
\(63\) | −4.97392 | − | 6.18548i | −0.626654 | − | 0.779297i | ||||
\(64\) | 1.70329 | 0.212911 | ||||||||
\(65\) | −4.28922 | + | 7.98179i | −0.532013 | + | 0.990019i | ||||
\(66\) | −2.50848 | − | 5.12114i | −0.308773 | − | 0.630369i | ||||
\(67\) | 1.52251 | 0.186004 | 0.0930020 | − | 0.995666i | \(-0.470354\pi\) | ||||
0.0930020 | + | 0.995666i | \(0.470354\pi\) | |||||||
\(68\) | −0.550743 | + | 0.953916i | −0.0667875 | + | 0.115679i | ||||
\(69\) | −1.60728 | + | 0.787294i | −0.193494 | + | 0.0947791i | ||||
\(70\) | 1.03817 | + | 3.48027i | 0.124085 | + | 0.415972i | ||||
\(71\) | 11.4729 | + | 6.62389i | 1.36158 | + | 0.786111i | 0.989835 | − | 0.142222i | \(-0.0454248\pi\) |
0.371749 | + | 0.928333i | \(0.378758\pi\) | |||||||
\(72\) | 5.61623 | − | 2.29124i | 0.661879 | − | 0.270025i | ||||
\(73\) | 4.76835 | + | 2.75301i | 0.558093 | + | 0.322215i | 0.752380 | − | 0.658730i | \(-0.228906\pi\) |
−0.194287 | + | 0.980945i | \(0.562239\pi\) | |||||||
\(74\) | −1.87099 | + | 1.08022i | −0.217498 | + | 0.125572i | ||||
\(75\) | 1.00258 | + | 2.04680i | 0.115768 | + | 0.236344i | ||||
\(76\) | −3.38290 | + | 1.95312i | −0.388046 | + | 0.224038i | ||||
\(77\) | 4.55868 | + | 15.2822i | 0.519509 | + | 1.74157i | ||||
\(78\) | 2.88783 | + | 1.81544i | 0.326983 | + | 0.205558i | ||||
\(79\) | −2.14796 | − | 3.72038i | −0.241665 | − | 0.418575i | 0.719524 | − | 0.694468i | \(-0.244360\pi\) |
−0.961189 | + | 0.275892i | \(0.911027\pi\) | |||||||
\(80\) | 5.77758 | 0.645953 | ||||||||
\(81\) | −6.43160 | + | 6.29559i | −0.714622 | + | 0.699511i | ||||
\(82\) | 4.90156i | 0.541286i | ||||||||
\(83\) | 11.8816 | 1.30417 | 0.652085 | − | 0.758146i | \(-0.273894\pi\) | ||||
0.652085 | + | 0.758146i | \(0.273894\pi\) | |||||||
\(84\) | −7.60699 | + | 1.71526i | −0.829990 | + | 0.187150i | ||||
\(85\) | −0.813381 | + | 1.40882i | −0.0882236 | + | 0.152808i | ||||
\(86\) | 3.87838 | − | 2.23919i | 0.418217 | − | 0.241458i | ||||
\(87\) | 0.607520 | − | 8.90441i | 0.0651330 | − | 0.954653i | ||||
\(88\) | −12.1871 | −1.29915 | ||||||||
\(89\) | 0.507769 | − | 0.879481i | 0.0538234 | − | 0.0932248i | −0.837858 | − | 0.545888i | \(-0.816193\pi\) |
0.891682 | + | 0.452663i | \(0.149526\pi\) | |||||||
\(90\) | 3.81299 | − | 1.55558i | 0.401924 | − | 0.163972i | ||||
\(91\) | −7.12882 | − | 6.33877i | −0.747303 | − | 0.664483i | ||||
\(92\) | 1.75834i | 0.183320i | ||||||||
\(93\) | 16.6273 | − | 8.14455i | 1.72417 | − | 0.844550i | ||||
\(94\) | 2.29021i | 0.236217i | ||||||||
\(95\) | −4.99614 | + | 2.88452i | −0.512593 | + | 0.295946i | ||||
\(96\) | 0.624797 | − | 9.15764i | 0.0637681 | − | 0.934647i | ||||
\(97\) | 8.58147 | + | 4.95452i | 0.871317 | + | 0.503055i | 0.867786 | − | 0.496939i | \(-0.165543\pi\) |
0.00353111 | + | 0.999994i | \(0.498876\pi\) | |||||||
\(98\) | −3.81742 | + | 0.214744i | −0.385618 | + | 0.0216924i | ||||
\(99\) | 16.7432 | − | 6.83067i | 1.68275 | − | 0.686508i | ||||
\(100\) | 2.23916 | 0.223916 | ||||||||
\(101\) | 5.31728 | 0.529089 | 0.264545 | − | 0.964373i | \(-0.414778\pi\) | ||||
0.264545 | + | 0.964373i | \(0.414778\pi\) | |||||||
\(102\) | 0.508271 | + | 0.341583i | 0.0503263 | + | 0.0338218i | ||||
\(103\) | 2.41439 | − | 1.39395i | 0.237897 | − | 0.137350i | −0.376313 | − | 0.926493i | \(-0.622808\pi\) |
0.614210 | + | 0.789143i | \(0.289475\pi\) | |||||||
\(104\) | 6.19922 | − | 3.83581i | 0.607883 | − | 0.376132i | ||||
\(105\) | −11.2346 | + | 2.53322i | −1.09638 | + | 0.247217i | ||||
\(106\) | 0.0128197 | + | 0.0222043i | 0.00124515 | + | 0.00215667i | ||||
\(107\) | −16.6485 | − | 9.61203i | −1.60947 | − | 0.929230i | −0.989488 | − | 0.144617i | \(-0.953805\pi\) |
−0.619986 | − | 0.784613i | \(-0.712862\pi\) | |||||||
\(108\) | 2.77500 | + | 8.39533i | 0.267024 | + | 0.807841i | ||||
\(109\) | −3.02537 | + | 5.24009i | −0.289778 | + | 0.501910i | −0.973757 | − | 0.227592i | \(-0.926915\pi\) |
0.683979 | + | 0.729502i | \(0.260248\pi\) | |||||||
\(110\) | −8.27412 | −0.788906 | ||||||||
\(111\) | −3.01362 | − | 6.15239i | −0.286040 | − | 0.583959i | ||||
\(112\) | −1.40858 | + | 5.91710i | −0.133098 | + | 0.559113i | ||||
\(113\) | −7.42599 | − | 4.28740i | −0.698578 | − | 0.403324i | 0.108239 | − | 0.994125i | \(-0.465479\pi\) |
−0.806818 | + | 0.590800i | \(0.798812\pi\) | |||||||
\(114\) | 0.955325 | + | 1.95032i | 0.0894744 | + | 0.182665i | ||||
\(115\) | 2.59686i | 0.242158i | ||||||||
\(116\) | −7.59374 | − | 4.38425i | −0.705061 | − | 0.407067i | ||||
\(117\) | −6.36683 | + | 8.74434i | −0.588613 | + | 0.808415i | ||||
\(118\) | 0.907960i | 0.0835845i | ||||||||
\(119\) | −1.24454 | − | 1.17649i | −0.114086 | − | 0.107849i | ||||
\(120\) | 0.599072 | − | 8.78058i | 0.0546875 | − | 0.801554i | ||||
\(121\) | −25.3324 | −2.30294 | ||||||||
\(122\) | 0.981198 | − | 1.69949i | 0.0888335 | − | 0.153864i | ||||
\(123\) | −15.5070 | − | 1.05799i | −1.39822 | − | 0.0953961i | ||||
\(124\) | − | 18.1900i | − | 1.63351i | ||||||
\(125\) | −9.25873 | −0.828126 | ||||||||
\(126\) | 0.663532 | + | 4.28432i | 0.0591122 | + | 0.381677i | ||||
\(127\) | 1.59609 | + | 2.76452i | 0.141630 | + | 0.245311i | 0.928111 | − | 0.372304i | \(-0.121432\pi\) |
−0.786480 | + | 0.617615i | \(0.788099\pi\) | |||||||
\(128\) | −9.98463 | − | 5.76463i | −0.882525 | − | 0.509526i | ||||
\(129\) | 6.24695 | + | 12.7533i | 0.550013 | + | 1.12287i | ||||
\(130\) | 4.20879 | − | 2.60422i | 0.369135 | − | 0.228405i | ||||
\(131\) | 1.65182 | + | 2.86103i | 0.144320 | + | 0.249969i | 0.929119 | − | 0.369781i | \(-0.120567\pi\) |
−0.784799 | + | 0.619750i | \(0.787234\pi\) | |||||||
\(132\) | 1.20928 | − | 17.7244i | 0.105254 | − | 1.54271i | ||||
\(133\) | −1.73612 | − | 5.82003i | −0.150540 | − | 0.504661i | ||||
\(134\) | −0.720192 | − | 0.415803i | −0.0622151 | − | 0.0359199i | ||||
\(135\) | 4.09833 | + | 12.3989i | 0.352728 | + | 1.06713i | ||||
\(136\) | 1.13342 | − | 0.654383i | 0.0971903 | − | 0.0561129i | ||||
\(137\) | 7.14564 | − | 4.12554i | 0.610493 | − | 0.352468i | −0.162665 | − | 0.986681i | \(-0.552009\pi\) |
0.773158 | + | 0.634213i | \(0.218676\pi\) | |||||||
\(138\) | 0.975308 | + | 0.0665422i | 0.0830237 | + | 0.00566445i | ||||
\(139\) | 7.50372 | + | 4.33228i | 0.636457 | + | 0.367459i | 0.783249 | − | 0.621709i | \(-0.213561\pi\) |
−0.146791 | + | 0.989168i | \(0.546895\pi\) | |||||||
\(140\) | −2.62023 | + | 11.0070i | −0.221450 | + | 0.930260i | ||||
\(141\) | −7.24551 | − | 0.494339i | −0.610182 | − | 0.0416308i | ||||
\(142\) | −3.61802 | − | 6.26660i | −0.303618 | − | 0.525881i | ||||
\(143\) | 18.4812 | − | 11.4354i | 1.54547 | − | 0.956273i | ||||
\(144\) | 6.83293 | + | 0.936740i | 0.569411 | + | 0.0780616i | ||||
\(145\) | −11.2150 | − | 6.47500i | −0.931357 | − | 0.537719i | ||||
\(146\) | −1.50371 | − | 2.60451i | −0.124448 | − | 0.215551i | ||||
\(147\) | 0.144603 | − | 12.1235i | 0.0119267 | − | 0.999929i | ||||
\(148\) | −6.73060 | −0.553252 | ||||||||
\(149\) | 13.8118i | 1.13151i | 0.824574 | + | 0.565753i | \(0.191415\pi\) | ||||
−0.824574 | + | 0.565753i | \(0.808585\pi\) | |||||||
\(150\) | 0.0847383 | − | 1.24201i | 0.00691885 | − | 0.101410i | ||||
\(151\) | −3.90858 | + | 6.76986i | −0.318076 | + | 0.550924i | −0.980087 | − | 0.198571i | \(-0.936370\pi\) |
0.662011 | + | 0.749494i | \(0.269703\pi\) | |||||||
\(152\) | 4.64132 | 0.376461 | ||||||||
\(153\) | −1.19037 | + | 1.53428i | −0.0962360 | + | 0.124039i | ||||
\(154\) | 2.01723 | − | 8.47393i | 0.162553 | − | 0.682848i | ||||
\(155\) | − | 26.8644i | − | 2.15780i | ||||||
\(156\) | 4.96350 | + | 9.39646i | 0.397398 | + | 0.752319i | ||||
\(157\) | −7.63926 | − | 4.41053i | −0.609679 | − | 0.351999i | 0.163161 | − | 0.986600i | \(-0.447831\pi\) |
−0.772840 | + | 0.634601i | \(0.781164\pi\) | |||||||
\(158\) | 2.34647i | 0.186675i | ||||||||
\(159\) | −0.0730146 | + | 0.0357646i | −0.00579043 | + | 0.00283632i | ||||
\(160\) | −11.5340 | − | 6.65914i | −0.911840 | − | 0.526451i | ||||
\(161\) | −2.65957 | − | 0.633115i | −0.209603 | − | 0.0498964i | ||||
\(162\) | 4.76169 | − | 1.22151i | 0.374114 | − | 0.0959709i | ||||
\(163\) | 12.5765 | 0.985066 | 0.492533 | − | 0.870294i | \(-0.336071\pi\) | ||||
0.492533 | + | 0.870294i | \(0.336071\pi\) | |||||||
\(164\) | −7.63515 | + | 13.2245i | −0.596205 | + | 1.03266i | ||||
\(165\) | 1.78596 | − | 26.1767i | 0.139037 | − | 2.03786i | ||||
\(166\) | −5.62034 | − | 3.24490i | −0.436223 | − | 0.251853i | ||||
\(167\) | 6.71323 | + | 11.6277i | 0.519486 | + | 0.899775i | 0.999743 | + | 0.0226481i | \(0.00720973\pi\) |
−0.480258 | + | 0.877127i | \(0.659457\pi\) | |||||||
\(168\) | 8.84656 | + | 2.75425i | 0.682527 | + | 0.212495i | ||||
\(169\) | −5.80160 | + | 11.6336i | −0.446277 | + | 0.894895i | ||||
\(170\) | 0.769508 | − | 0.444276i | 0.0590186 | − | 0.0340744i | ||||
\(171\) | −6.37643 | + | 2.60138i | −0.487618 | + | 0.198932i | ||||
\(172\) | 13.9519 | 1.06382 | ||||||||
\(173\) | 8.44726 | 0.642233 | 0.321116 | − | 0.947040i | \(-0.395942\pi\) | ||||
0.321116 | + | 0.947040i | \(0.395942\pi\) | |||||||
\(174\) | −2.71921 | + | 4.04614i | −0.206142 | + | 0.306737i | ||||
\(175\) | −0.806242 | + | 3.38683i | −0.0609462 | + | 0.256020i | ||||
\(176\) | −12.0007 | − | 6.92861i | −0.904587 | − | 0.522263i | ||||
\(177\) | −2.87250 | − | 0.195982i | −0.215911 | − | 0.0147309i | ||||
\(178\) | −0.480380 | + | 0.277347i | −0.0360060 | + | 0.0207881i | ||||
\(179\) | 12.9185i | 0.965577i | 0.875737 | + | 0.482788i | \(0.160376\pi\) | ||||
−0.875737 | + | 0.482788i | \(0.839624\pi\) | |||||||
\(180\) | 12.7106 | + | 1.74252i | 0.947393 | + | 0.129880i | ||||
\(181\) | 1.36110i | 0.101170i | 0.998720 | + | 0.0505848i | \(0.0161085\pi\) | ||||
−0.998720 | + | 0.0505848i | \(0.983891\pi\) | |||||||
\(182\) | 1.64100 | + | 4.94534i | 0.121639 | + | 0.366573i | ||||
\(183\) | 5.16485 | + | 3.47104i | 0.381797 | + | 0.256587i | ||||
\(184\) | 1.04461 | − | 1.80932i | 0.0770099 | − | 0.133385i | ||||
\(185\) | −9.94028 | −0.730824 | ||||||||
\(186\) | −10.0895 | − | 0.688378i | −0.739801 | − | 0.0504743i | ||||
\(187\) | 3.37897 | − | 1.95085i | 0.247095 | − | 0.142660i | ||||
\(188\) | −3.56746 | + | 6.17902i | −0.260184 | + | 0.450651i | ||||
\(189\) | −13.6975 | + | 1.17445i | −0.996344 | + | 0.0854284i | ||||
\(190\) | 3.15110 | 0.228605 | ||||||||
\(191\) | 10.3102i | 0.746020i | 0.927827 | + | 0.373010i | \(0.121674\pi\) | ||||
−0.927827 | + | 0.373010i | \(0.878326\pi\) | |||||||
\(192\) | 1.64558 | − | 2.44860i | 0.118760 | − | 0.176713i | ||||
\(193\) | 3.23962 | 0.233193 | 0.116597 | − | 0.993179i | \(-0.462802\pi\) | ||||
0.116597 | + | 0.993179i | \(0.462802\pi\) | |||||||
\(194\) | −2.70620 | − | 4.68727i | −0.194294 | − | 0.336527i | ||||
\(195\) | 7.33049 | + | 13.8774i | 0.524947 | + | 0.993783i | ||||
\(196\) | −10.6340 | − | 5.36702i | −0.759569 | − | 0.383358i | ||||
\(197\) | −11.8813 | + | 6.85965i | −0.846505 | + | 0.488730i | −0.859470 | − | 0.511186i | \(-0.829206\pi\) |
0.0129653 | + | 0.999916i | \(0.495873\pi\) | |||||||
\(198\) | −9.78550 | − | 1.34151i | −0.695425 | − | 0.0953372i | ||||
\(199\) | 2.88404 | − | 1.66510i | 0.204444 | − | 0.118036i | −0.394283 | − | 0.918989i | \(-0.629007\pi\) |
0.598727 | + | 0.800953i | \(0.295674\pi\) | |||||||
\(200\) | −2.30409 | − | 1.33027i | −0.162924 | − | 0.0940640i | ||||
\(201\) | 1.47092 | − | 2.18871i | 0.103751 | − | 0.154380i | ||||
\(202\) | −2.51524 | − | 1.45217i | −0.176971 | − | 0.102174i | ||||
\(203\) | 9.36559 | − | 9.90724i | 0.657335 | − | 0.695352i | ||||
\(204\) | 0.839238 | + | 1.71333i | 0.0587584 | + | 0.119957i | ||||
\(205\) | −11.2762 | + | 19.5309i | −0.787563 | + | 1.36410i | ||||
\(206\) | −1.52277 | −0.106096 | ||||||||
\(207\) | −0.421038 | + | 3.07121i | −0.0292641 | + | 0.213464i | ||||
\(208\) | 8.28512 | − | 0.252766i | 0.574470 | − | 0.0175262i | ||||
\(209\) | 13.8367 | 0.957107 | ||||||||
\(210\) | 6.00614 | + | 1.86992i | 0.414463 | + | 0.129037i | ||||
\(211\) | −4.67281 | − | 8.09355i | −0.321690 | − | 0.557183i | 0.659147 | − | 0.752014i | \(-0.270917\pi\) |
−0.980837 | + | 0.194831i | \(0.937584\pi\) | |||||||
\(212\) | 0.0798766i | 0.00548595i | ||||||||
\(213\) | 20.6065 | − | 10.0937i | 1.41194 | − | 0.691607i | ||||
\(214\) | 5.25017 | + | 9.09356i | 0.358894 | + | 0.621623i | ||||
\(215\) | 20.6053 | 1.40527 | ||||||||
\(216\) | 2.13213 | − | 10.2873i | 0.145073 | − | 0.699965i | ||||
\(217\) | 27.5132 | + | 6.54956i | 1.86772 | + | 0.444613i | ||||
\(218\) | 2.86218 | − | 1.65248i | 0.193851 | − | 0.111920i | ||||
\(219\) | 8.56444 | − | 4.19511i | 0.578731 | − | 0.283479i | ||||
\(220\) | −22.3237 | − | 12.8886i | −1.50506 | − | 0.868949i | ||||
\(221\) | −1.10476 | + | 2.05585i | −0.0743145 | + | 0.138291i | ||||
\(222\) | −0.254711 | + | 3.73330i | −0.0170951 | + | 0.250562i | ||||
\(223\) | 4.72711 | − | 2.72920i | 0.316550 | − | 0.182760i | −0.333304 | − | 0.942820i | \(-0.608163\pi\) |
0.649854 | + | 0.760059i | \(0.274830\pi\) | |||||||
\(224\) | 9.63193 | − | 10.1890i | 0.643560 | − | 0.680780i | ||||
\(225\) | 3.91104 | + | 0.536172i | 0.260736 | + | 0.0357448i | ||||
\(226\) | 2.34181 | + | 4.05614i | 0.155775 | + | 0.269810i | ||||
\(227\) | −11.3923 | − | 19.7320i | −0.756132 | − | 1.30966i | −0.944809 | − | 0.327620i | \(-0.893753\pi\) |
0.188677 | − | 0.982039i | \(-0.439580\pi\) | |||||||
\(228\) | −0.460539 | + | 6.75011i | −0.0304999 | + | 0.447037i | ||||
\(229\) | −15.1066 | + | 8.72181i | −0.998273 | + | 0.576353i | −0.907737 | − | 0.419540i | \(-0.862191\pi\) |
−0.0905364 | + | 0.995893i | \(0.528858\pi\) | |||||||
\(230\) | 0.709212 | − | 1.22839i | 0.0467641 | − | 0.0809977i | ||||
\(231\) | 26.3735 | + | 8.21099i | 1.73525 | + | 0.540243i | ||||
\(232\) | 5.20928 | + | 9.02273i | 0.342006 | + | 0.592371i | ||||
\(233\) | 1.62211 | − | 0.936526i | 0.106268 | − | 0.0613538i | −0.445924 | − | 0.895071i | \(-0.647125\pi\) |
0.552192 | + | 0.833717i | \(0.313792\pi\) | |||||||
\(234\) | 5.39982 | − | 2.39753i | 0.352997 | − | 0.156732i | ||||
\(235\) | −5.26870 | + | 9.12566i | −0.343692 | + | 0.595292i | ||||
\(236\) | −1.41433 | + | 2.44969i | −0.0920650 | + | 0.159461i | ||||
\(237\) | −7.42350 | − | 0.506482i | −0.482208 | − | 0.0328995i | ||||
\(238\) | 0.267398 | + | 0.896405i | 0.0173328 | + | 0.0581053i | ||||
\(239\) | 23.7791i | 1.53814i | 0.639164 | + | 0.769071i | \(0.279281\pi\) | ||||
−0.639164 | + | 0.769071i | \(0.720719\pi\) | |||||||
\(240\) | 5.58183 | − | 8.30568i | 0.360306 | − | 0.536130i | ||||
\(241\) | −18.0905 | + | 10.4446i | −1.16531 | + | 0.672795i | −0.952572 | − | 0.304314i | \(-0.901573\pi\) |
−0.212743 | + | 0.977108i | \(0.568240\pi\) | |||||||
\(242\) | 11.9830 | + | 6.91837i | 0.770295 | + | 0.444730i | ||||
\(243\) | 2.83667 | + | 15.3282i | 0.181973 | + | 0.983304i | ||||
\(244\) | 5.29457 | − | 3.05682i | 0.338950 | − | 0.195693i | ||||
\(245\) | −15.7051 | − | 7.92643i | −1.00336 | − | 0.506401i | ||||
\(246\) | 7.04634 | + | 4.73549i | 0.449258 | + | 0.301924i | ||||
\(247\) | −7.03833 | + | 4.35502i | −0.447838 | + | 0.277103i | ||||
\(248\) | −10.8065 | + | 18.7174i | −0.686214 | + | 1.18856i | ||||
\(249\) | 11.4790 | − | 17.0806i | 0.727453 | − | 1.08244i | ||||
\(250\) | 4.37966 | + | 2.52860i | 0.276994 | + | 0.159922i | ||||
\(251\) | −10.1622 | + | 17.6015i | −0.641433 | + | 1.11100i | 0.343680 | + | 0.939087i | \(0.388327\pi\) |
−0.985113 | + | 0.171908i | \(0.945007\pi\) | |||||||
\(252\) | −4.88346 | + | 12.5927i | −0.307629 | + | 0.793267i | ||||
\(253\) | 3.11421 | − | 5.39397i | 0.195789 | − | 0.339116i | ||||
\(254\) | − | 1.74360i | − | 0.109403i | ||||||
\(255\) | 1.23945 | + | 2.53038i | 0.0776175 | + | 0.158459i | ||||
\(256\) | 1.44540 | + | 2.50350i | 0.0903374 | + | 0.156469i | ||||
\(257\) | 11.9462 | − | 20.6914i | 0.745183 | − | 1.29069i | −0.204926 | − | 0.978777i | \(-0.565696\pi\) |
0.950109 | − | 0.311917i | \(-0.100971\pi\) | |||||||
\(258\) | 0.527992 | − | 7.73878i | 0.0328714 | − | 0.481795i | ||||
\(259\) | 2.42345 | − | 10.1803i | 0.150586 | − | 0.632575i | ||||
\(260\) | 15.4120 | − | 0.470195i | 0.955810 | − | 0.0291603i | ||||
\(261\) | −12.2138 | − | 9.47608i | −0.756015 | − | 0.586555i | ||||
\(262\) | − | 1.80447i | − | 0.111481i | ||||||
\(263\) | − | 1.61574i | − | 0.0996308i | −0.998758 | − | 0.0498154i | \(-0.984137\pi\) | ||
0.998758 | − | 0.0498154i | \(-0.0158633\pi\) | |||||||
\(264\) | −11.7742 | + | 17.5199i | −0.724653 | + | 1.07827i | ||||
\(265\) | 0.117968i | 0.00724672i | ||||||||
\(266\) | −0.768239 | + | 3.22719i | −0.0471038 | + | 0.197872i | ||||
\(267\) | −0.773752 | − | 1.57964i | −0.0473528 | − | 0.0966723i | ||||
\(268\) | −1.29539 | − | 2.24369i | −0.0791287 | − | 0.137055i | ||||
\(269\) | 8.22623 | + | 14.2482i | 0.501562 | + | 0.868731i | 0.999998 | + | 0.00180469i | \(0.000574450\pi\) |
−0.498436 | + | 0.866926i | \(0.666092\pi\) | |||||||
\(270\) | 1.44755 | − | 6.98432i | 0.0880951 | − | 0.425052i | ||||
\(271\) | −0.531956 | − | 0.307125i | −0.0323140 | − | 0.0186565i | 0.483756 | − | 0.875203i | \(-0.339272\pi\) |
−0.516070 | + | 0.856546i | \(0.672606\pi\) | |||||||
\(272\) | 1.48812 | 0.0902302 | ||||||||
\(273\) | −15.9997 | + | 4.12418i | −0.968347 | + | 0.249607i | ||||
\(274\) | −4.50681 | −0.272266 | ||||||||
\(275\) | −6.86897 | − | 3.96580i | −0.414214 | − | 0.239147i | ||||
\(276\) | 2.52774 | + | 1.69877i | 0.152152 | + | 0.102254i | ||||
\(277\) | 4.83367 | + | 8.37217i | 0.290427 | + | 0.503035i | 0.973911 | − | 0.226931i | \(-0.0728692\pi\) |
−0.683484 | + | 0.729966i | \(0.739536\pi\) | |||||||
\(278\) | −2.36633 | − | 4.09860i | −0.141923 | − | 0.245817i | ||||
\(279\) | 4.35563 | − | 31.7716i | 0.260765 | − | 1.90212i | ||||
\(280\) | 9.23535 | − | 9.76947i | 0.551918 | − | 0.583837i | ||||
\(281\) | 4.25154i | 0.253625i | 0.991927 | + | 0.126813i | \(0.0404747\pi\) | ||||
−0.991927 | + | 0.126813i | \(0.959525\pi\) | |||||||
\(282\) | 3.29234 | + | 2.21262i | 0.196056 | + | 0.131759i | ||||
\(283\) | 13.4666i | 0.800506i | 0.916405 | + | 0.400253i | \(0.131078\pi\) | ||||
−0.916405 | + | 0.400253i | \(0.868922\pi\) | |||||||
\(284\) | − | 22.5432i | − | 1.33769i | ||||||
\(285\) | −0.680160 | + | 9.96910i | −0.0402892 | + | 0.590518i | ||||
\(286\) | −11.8652 | + | 0.361988i | −0.701603 | + | 0.0214048i | ||||
\(287\) | −17.2534 | − | 16.3101i | −1.01844 | − | 0.962757i | ||||
\(288\) | −12.5611 | − | 9.74556i | −0.740172 | − | 0.574263i | ||||
\(289\) | 8.29050 | − | 14.3596i | 0.487676 | − | 0.844680i | ||||
\(290\) | 3.53670 | + | 6.12574i | 0.207682 | + | 0.359716i | ||||
\(291\) | 15.4132 | − | 7.54983i | 0.903538 | − | 0.442579i | ||||
\(292\) | − | 9.36934i | − | 0.548299i | ||||||
\(293\) | −6.93842 | + | 12.0177i | −0.405347 | + | 0.702081i | −0.994362 | − | 0.106041i | \(-0.966183\pi\) |
0.589015 | + | 0.808122i | \(0.299516\pi\) | |||||||
\(294\) | −3.37938 | + | 5.69529i | −0.197089 | + | 0.332156i | ||||
\(295\) | −2.08879 | + | 3.61789i | −0.121614 | + | 0.210642i | ||||
\(296\) | 6.92575 | + | 3.99859i | 0.402551 | + | 0.232413i | ||||
\(297\) | 6.35632 | − | 30.6687i | 0.368831 | − | 1.77958i | ||||
\(298\) | 3.77206 | − | 6.53340i | 0.218510 | − | 0.378470i | ||||
\(299\) | 0.113611 | + | 3.72392i | 0.00657030 | + | 0.215360i | ||||
\(300\) | 2.16330 | − | 3.21896i | 0.124898 | − | 0.185847i | ||||
\(301\) | −5.02358 | + | 21.1029i | −0.289554 | + | 1.21635i | ||||
\(302\) | 3.69776 | − | 2.13490i | 0.212782 | − | 0.122850i | ||||
\(303\) | 5.13713 | − | 7.64397i | 0.295120 | − | 0.439135i | ||||
\(304\) | 4.57032 | + | 2.63868i | 0.262126 | + | 0.151338i | ||||
\(305\) | 7.81944 | − | 4.51456i | 0.447740 | − | 0.258503i | ||||
\(306\) | 0.982101 | − | 0.400666i | 0.0561430 | − | 0.0229045i | ||||
\(307\) | 19.0928i | 1.08969i | 0.838538 | + | 0.544843i | \(0.183411\pi\) | ||||
−0.838538 | + | 0.544843i | \(0.816589\pi\) | |||||||
\(308\) | 18.6424 | − | 19.7205i | 1.06225 | − | 1.12368i | ||||
\(309\) | 0.328688 | − | 4.81758i | 0.0186984 | − | 0.274062i | ||||
\(310\) | −7.33679 | + | 12.7077i | −0.416702 | + | 0.721748i | ||||
\(311\) | 1.31104 | − | 2.27079i | 0.0743423 | − | 0.128765i | −0.826458 | − | 0.562999i | \(-0.809648\pi\) |
0.900800 | + | 0.434234i | \(0.142981\pi\) | |||||||
\(312\) | 0.474930 | − | 12.6177i | 0.0268876 | − | 0.714335i | ||||
\(313\) | 3.15245 | − | 1.82007i | 0.178187 | − | 0.102876i | −0.408253 | − | 0.912869i | \(-0.633862\pi\) |
0.586441 | + | 0.809992i | \(0.300529\pi\) | |||||||
\(314\) | 2.40907 | + | 4.17263i | 0.135952 | + | 0.235475i | ||||
\(315\) | −7.21227 | + | 18.5979i | −0.406366 | + | 1.04787i | ||||
\(316\) | −3.65509 | + | 6.33081i | −0.205615 | + | 0.356136i | ||||
\(317\) | 14.6674 | − | 8.46825i | 0.823805 | − | 0.475624i | −0.0279217 | − | 0.999610i | \(-0.508889\pi\) |
0.851727 | + | 0.523986i | \(0.175556\pi\) | |||||||
\(318\) | 0.0443056 | + | 0.00302283i | 0.00248453 | + | 0.000169512i | ||||
\(319\) | 15.5299 | + | 26.8986i | 0.869510 | + | 1.50603i | ||||
\(320\) | −2.14030 | − | 3.70711i | −0.119647 | − | 0.207234i | ||||
\(321\) | −29.9024 | + | 14.6471i | −1.66899 | + | 0.817520i | ||||
\(322\) | 1.08515 | + | 1.02582i | 0.0604730 | + | 0.0571668i | ||||
\(323\) | −1.28684 | + | 0.742958i | −0.0716018 | + | 0.0413393i | ||||
\(324\) | 14.7499 | + | 4.12164i | 0.819437 | + | 0.228980i | ||||
\(325\) | 4.74224 | − | 0.144678i | 0.263052 | − | 0.00802531i | ||||
\(326\) | −5.94905 | − | 3.43469i | −0.329488 | − | 0.190230i | ||||
\(327\) | 4.61014 | + | 9.41174i | 0.254941 | + | 0.520471i | ||||
\(328\) | 15.7131 | − | 9.07194i | 0.867608 | − | 0.500914i | ||||
\(329\) | −8.06152 | − | 7.62077i | −0.444446 | − | 0.420147i | ||||
\(330\) | −7.99379 | + | 11.8946i | −0.440044 | + | 0.654778i | ||||
\(331\) | −10.4278 | −0.573166 | −0.286583 | − | 0.958055i | \(-0.592519\pi\) | ||||
−0.286583 | + | 0.958055i | \(0.592519\pi\) | |||||||
\(332\) | −10.1092 | − | 17.5096i | −0.554813 | − | 0.960964i | ||||
\(333\) | −11.7560 | − | 1.61165i | −0.644226 | − | 0.0883181i | ||||
\(334\) | − | 7.33365i | − | 0.401279i | ||||||
\(335\) | −1.91314 | − | 3.31365i | −0.104526 | − | 0.181044i | ||||
\(336\) | 7.14540 | + | 7.74155i | 0.389813 | + | 0.422336i | ||||
\(337\) | 18.5940 | 1.01288 | 0.506440 | − | 0.862275i | \(-0.330961\pi\) | ||||
0.506440 | + | 0.862275i | \(0.330961\pi\) | |||||||
\(338\) | 5.92153 | − | 3.91862i | 0.322089 | − | 0.213145i | ||||
\(339\) | −13.3378 | + | 6.53326i | −0.724412 | + | 0.354838i | ||||
\(340\) | 2.76819 | 0.150126 | ||||||||
\(341\) | −32.2165 | + | 55.8005i | −1.74462 | + | 3.02177i | ||||
\(342\) | 3.72669 | + | 0.510899i | 0.201516 | + | 0.0276263i | ||||
\(343\) | 11.9467 | − | 14.1519i | 0.645064 | − | 0.764129i | ||||
\(344\) | −14.3564 | − | 8.28870i | −0.774048 | − | 0.446897i | ||||
\(345\) | 3.73317 | + | 2.50887i | 0.200987 | + | 0.135073i | ||||
\(346\) | −3.99581 | − | 2.30698i | −0.214816 | − | 0.124024i | ||||
\(347\) | −6.55263 | + | 3.78316i | −0.351763 | + | 0.203091i | −0.665462 | − | 0.746432i | \(-0.731765\pi\) |
0.313698 | + | 0.949523i | \(0.398432\pi\) | |||||||
\(348\) | −13.6391 | + | 6.68083i | −0.731134 | + | 0.358130i | ||||
\(349\) | −23.2338 | + | 13.4141i | −1.24368 | + | 0.718038i | −0.969841 | − | 0.243738i | \(-0.921626\pi\) |
−0.273837 | + | 0.961776i | \(0.588293\pi\) | |||||||
\(350\) | 1.30633 | − | 1.38189i | 0.0698265 | − | 0.0738649i | ||||
\(351\) | 6.41950 | + | 17.6009i | 0.342648 | + | 0.939464i | ||||
\(352\) | 15.9716 | + | 27.6636i | 0.851288 | + | 1.47447i | ||||
\(353\) | 12.8501 | 0.683940 | 0.341970 | − | 0.939711i | \(-0.388906\pi\) | ||||
0.341970 | + | 0.939711i | \(0.388906\pi\) | |||||||
\(354\) | 1.30526 | + | 0.877198i | 0.0693737 | + | 0.0466226i | ||||
\(355\) | − | 33.2935i | − | 1.76704i | ||||||
\(356\) | −1.72810 | −0.0915889 | ||||||||
\(357\) | −2.89366 | + | 0.652476i | −0.153149 | + | 0.0345327i | ||||
\(358\) | 3.52811 | − | 6.11086i | 0.186466 | − | 0.322969i | ||||
\(359\) | 14.4330 | − | 8.33290i | 0.761745 | − | 0.439794i | −0.0681770 | − | 0.997673i | \(-0.521718\pi\) |
0.829922 | + | 0.557880i | \(0.188385\pi\) | |||||||
\(360\) | −12.0439 | − | 9.34430i | −0.634771 | − | 0.492488i | ||||
\(361\) | 13.7304 | 0.722655 | ||||||||
\(362\) | 0.371722 | − | 0.643841i | 0.0195373 | − | 0.0338395i | ||||
\(363\) | −24.4741 | + | 36.4171i | −1.28456 | + | 1.91140i | ||||
\(364\) | −3.27590 | + | 15.8988i | −0.171704 | + | 0.833323i | ||||
\(365\) | − | 13.8374i | − | 0.724282i | ||||||
\(366\) | −1.49518 | − | 3.05245i | −0.0781542 | − | 0.159554i | ||||
\(367\) | − | 27.1720i | − | 1.41837i | −0.705023 | − | 0.709184i | \(-0.749063\pi\) | ||
0.705023 | − | 0.709184i | \(-0.250937\pi\) | |||||||
\(368\) | 2.05727 | − | 1.18776i | 0.107243 | − | 0.0619165i | ||||
\(369\) | −16.5026 | + | 21.2703i | −0.859089 | + | 1.10729i | ||||
\(370\) | 4.70205 | + | 2.71473i | 0.244448 | + | 0.141132i | ||||
\(371\) | −0.120817 | − | 0.0287607i | −0.00627250 | − | 0.00149318i | ||||
\(372\) | −26.1494 | − | 17.5737i | −1.35579 | − | 0.911155i | ||||
\(373\) | −17.0879 | −0.884780 | −0.442390 | − | 0.896823i | \(-0.645869\pi\) | ||||
−0.442390 | + | 0.896823i | \(0.645869\pi\) | |||||||
\(374\) | −2.13114 | −0.110199 | ||||||||
\(375\) | −8.94504 | + | 13.3101i | −0.461920 | + | 0.687330i | ||||
\(376\) | 7.34179 | − | 4.23879i | 0.378624 | − | 0.218599i | ||||
\(377\) | −16.3658 | − | 8.79458i | −0.842880 | − | 0.452944i | ||||
\(378\) | 6.80006 | + | 3.18529i | 0.349758 | + | 0.163833i | ||||
\(379\) | −11.4321 | − | 19.8010i | −0.587229 | − | 1.01711i | −0.994594 | − | 0.103845i | \(-0.966886\pi\) |
0.407365 | − | 0.913266i | \(-0.366448\pi\) | |||||||
\(380\) | 8.50171 | + | 4.90846i | 0.436128 | + | 0.251799i | ||||
\(381\) | 5.51621 | + | 0.376353i | 0.282604 | + | 0.0192812i | ||||
\(382\) | 2.81576 | − | 4.87703i | 0.144067 | − | 0.249531i | ||||
\(383\) | 8.52108 | 0.435407 | 0.217703 | − | 0.976015i | \(-0.430143\pi\) | ||||
0.217703 | + | 0.976015i | \(0.430143\pi\) | |||||||
\(384\) | −17.9334 | + | 8.78430i | −0.915161 | + | 0.448272i | ||||
\(385\) | 27.5325 | − | 29.1248i | 1.40319 | − | 1.48434i | ||||
\(386\) | −1.53244 | − | 0.884754i | −0.0779991 | − | 0.0450328i | ||||
\(387\) | 24.3691 | + | 3.34081i | 1.23875 | + | 0.169823i | ||||
\(388\) | − | 16.8618i | − | 0.856027i | ||||||
\(389\) | 11.0480 | + | 6.37855i | 0.560155 | + | 0.323406i | 0.753208 | − | 0.657783i | \(-0.228506\pi\) |
−0.193053 | + | 0.981188i | \(0.561839\pi\) | |||||||
\(390\) | 0.322441 | − | 8.56643i | 0.0163274 | − | 0.433778i | ||||
\(391\) | 0.668865i | 0.0338260i | ||||||||
\(392\) | 7.75380 | + | 11.8402i | 0.391626 | + | 0.598019i | ||||
\(393\) | 5.70879 | + | 0.389493i | 0.287970 | + | 0.0196473i | ||||
\(394\) | 7.49359 | 0.377522 | ||||||||
\(395\) | −5.39813 | + | 9.34983i | −0.271609 | + | 0.470441i | ||||
\(396\) | −24.3118 | − | 18.8623i | −1.22171 | − | 0.947866i | ||||
\(397\) | 3.89299i | 0.195384i | 0.995217 | + | 0.0976918i | \(0.0311459\pi\) | ||||
−0.995217 | + | 0.0976918i | \(0.968854\pi\) | |||||||
\(398\) | −1.81898 | −0.0911773 | ||||||||
\(399\) | −10.0440 | − | 3.12706i | −0.502830 | − | 0.156549i | ||||
\(400\) | −1.51256 | − | 2.61983i | −0.0756281 | − | 0.130992i | ||||
\(401\) | 19.1034 | + | 11.0293i | 0.953977 | + | 0.550779i | 0.894314 | − | 0.447440i | \(-0.147664\pi\) |
0.0596628 | + | 0.998219i | \(0.480997\pi\) | |||||||
\(402\) | −1.29354 | + | 0.633612i | −0.0645158 | + | 0.0316017i | ||||
\(403\) | −1.17530 | − | 38.5239i | −0.0585461 | − | 1.91901i | ||||
\(404\) | −4.52409 | − | 7.83596i | −0.225082 | − | 0.389854i | ||||
\(405\) | 21.7838 | + | 6.08716i | 1.08244 | + | 0.302473i | ||||
\(406\) | −7.13591 | + | 2.12864i | −0.354150 | + | 0.105643i | ||||
\(407\) | 20.6471 | + | 11.9206i | 1.02344 | + | 0.590883i | ||||
\(408\) | 0.154301 | − | 2.26159i | 0.00763905 | − | 0.111965i | ||||
\(409\) | 7.43125 | − | 4.29044i | 0.367452 | − | 0.212148i | −0.304893 | − | 0.952387i | \(-0.598621\pi\) |
0.672345 | + | 0.740238i | \(0.265287\pi\) | |||||||
\(410\) | 10.6680 | − | 6.15915i | 0.526853 | − | 0.304179i | ||||
\(411\) | 0.972788 | − | 14.2581i | 0.0479841 | − | 0.703302i | ||||
\(412\) | −4.10846 | − | 2.37202i | −0.202409 | − | 0.116861i | ||||
\(413\) | −3.19601 | − | 3.02128i | −0.157265 | − | 0.148667i | ||||
\(414\) | 1.03792 | − | 1.33779i | 0.0510111 | − | 0.0657486i | ||||
\(415\) | −14.9300 | − | 25.8595i | −0.732886 | − | 1.26940i | ||||
\(416\) | −16.8312 | − | 9.04468i | −0.825217 | − | 0.443452i | ||||
\(417\) | 13.4775 | − | 6.60164i | 0.659994 | − | 0.323284i | ||||
\(418\) | −6.54520 | − | 3.77887i | −0.320136 | − | 0.184831i | ||||
\(419\) | −12.5477 | − | 21.7332i | −0.612994 | − | 1.06174i | −0.990733 | − | 0.135825i | \(-0.956632\pi\) |
0.377739 | − | 0.925912i | \(-0.376702\pi\) | |||||||
\(420\) | 13.2919 | + | 14.4008i | 0.648577 | + | 0.702689i | ||||
\(421\) | −11.9143 | −0.580668 | −0.290334 | − | 0.956925i | \(-0.593766\pi\) | ||||
−0.290334 | + | 0.956925i | \(0.593766\pi\) | |||||||
\(422\) | 5.10466i | 0.248491i | ||||||||
\(423\) | −7.71068 | + | 9.93836i | −0.374906 | + | 0.483219i | ||||
\(424\) | 0.0474539 | − | 0.0821926i | 0.00230457 | − | 0.00399163i | ||||
\(425\) | 0.851768 | 0.0413168 | ||||||||
\(426\) | −12.5041 | − | 0.853118i | −0.605827 | − | 0.0413337i | ||||
\(427\) | 2.71719 | + | 9.10892i | 0.131494 | + | 0.440812i | ||||
\(428\) | 32.7127i | 1.58123i | ||||||||
\(429\) | 1.41587 | − | 37.6159i | 0.0683587 | − | 1.81611i | ||||
\(430\) | −9.74692 | − | 5.62739i | −0.470038 | − | 0.271377i | ||||
\(431\) | − | 28.8820i | − | 1.39119i | −0.718432 | − | 0.695597i | \(-0.755140\pi\) | ||
0.718432 | − | 0.695597i | \(-0.244860\pi\) | |||||||
\(432\) | 7.94806 | − | 8.91783i | 0.382401 | − | 0.429059i | ||||
\(433\) | −6.48299 | − | 3.74296i | −0.311553 | − | 0.179875i | 0.336068 | − | 0.941838i | \(-0.390903\pi\) |
−0.647621 | + | 0.761963i | \(0.724236\pi\) | |||||||
\(434\) | −11.2258 | − | 10.6121i | −0.538858 | − | 0.509397i | ||||
\(435\) | −20.1433 | + | 9.86678i | −0.965799 | + | 0.473076i | ||||
\(436\) | 10.2963 | 0.493102 | ||||||||
\(437\) | −1.18601 | + | 2.05423i | −0.0567345 | + | 0.0982671i | ||||
\(438\) | −5.19694 | − | 0.354571i | −0.248319 | − | 0.0169421i | ||||
\(439\) | −8.85143 | − | 5.11037i | −0.422456 | − | 0.243905i | 0.273672 | − | 0.961823i | \(-0.411762\pi\) |
−0.696127 | + | 0.717918i | \(0.745095\pi\) | |||||||
\(440\) | 15.3140 | + | 26.5246i | 0.730065 | + | 1.26451i | ||||
\(441\) | −17.2887 | − | 11.9206i | −0.823271 | − | 0.567649i | ||||
\(442\) | 1.08405 | − | 0.670762i | 0.0515629 | − | 0.0319049i | ||||
\(443\) | −26.2992 | + | 15.1839i | −1.24951 | + | 0.721407i | −0.971012 | − | 0.239029i | \(-0.923171\pi\) |
−0.278501 | + | 0.960436i | \(0.589838\pi\) | |||||||
\(444\) | −6.50257 | + | 9.67572i | −0.308598 | + | 0.459190i | ||||
\(445\) | −2.55219 | −0.120985 | ||||||||
\(446\) | −2.98142 | −0.141174 | ||||||||
\(447\) | 19.8555 | + | 13.3439i | 0.939131 | + | 0.631143i | ||||
\(448\) | 4.31844 | − | 1.28819i | 0.204027 | − | 0.0608613i | ||||
\(449\) | −19.0172 | − | 10.9796i | −0.897478 | − | 0.518159i | −0.0210967 | − | 0.999777i | \(-0.506716\pi\) |
−0.876381 | + | 0.481618i | \(0.840049\pi\) | |||||||
\(450\) | −1.70361 | − | 1.32175i | −0.0803089 | − | 0.0623077i | ||||
\(451\) | 46.8439 | − | 27.0453i | 2.20579 | − | 1.27352i | ||||
\(452\) | 14.5914i | 0.686320i | ||||||||
\(453\) | 5.95601 | + | 12.1594i | 0.279838 | + | 0.571297i | ||||
\(454\) | 12.4451i | 0.584078i | ||||||||
\(455\) | −4.83810 | + | 23.4806i | −0.226814 | + | 1.10079i | ||||
\(456\) | 4.48407 | − | 6.67223i | 0.209986 | − | 0.312456i | ||||
\(457\) | −18.0285 | + | 31.2263i | −0.843338 | + | 1.46070i | 0.0437182 | + | 0.999044i | \(0.486080\pi\) |
−0.887057 | + | 0.461661i | \(0.847254\pi\) | |||||||
\(458\) | 9.52785 | 0.445207 | ||||||||
\(459\) | 1.05560 | + | 3.19355i | 0.0492710 | + | 0.149062i | ||||
\(460\) | 3.82693 | − | 2.20948i | 0.178431 | − | 0.103017i | ||||
\(461\) | 4.57076 | − | 7.91680i | 0.212882 | − | 0.368722i | −0.739734 | − | 0.672900i | \(-0.765048\pi\) |
0.952615 | + | 0.304178i | \(0.0983818\pi\) | |||||||
\(462\) | −10.2330 | − | 11.0867i | −0.476082 | − | 0.515802i | ||||
\(463\) | 22.1372 | 1.02880 | 0.514401 | − | 0.857550i | \(-0.328014\pi\) | ||||
0.514401 | + | 0.857550i | \(0.328014\pi\) | |||||||
\(464\) | 11.8463i | 0.549950i | ||||||||
\(465\) | −38.6195 | − | 25.9543i | −1.79094 | − | 1.20360i | ||||
\(466\) | −1.02308 | −0.0473931 | ||||||||
\(467\) | −0.315959 | − | 0.547257i | −0.0146208 | − | 0.0253240i | 0.858622 | − | 0.512609i | \(-0.171321\pi\) |
−0.873243 | + | 0.487285i | \(0.837987\pi\) | |||||||
\(468\) | 18.3034 | + | 1.94272i | 0.846076 | + | 0.0898021i | ||||
\(469\) | 3.86009 | − | 1.15147i | 0.178243 | − | 0.0531698i | ||||
\(470\) | 4.98451 | − | 2.87781i | 0.229918 | − | 0.132743i | ||||
\(471\) | −13.7209 | + | 6.72089i | −0.632225 | + | 0.309682i | ||||
\(472\) | 2.91067 | − | 1.68048i | 0.133975 | − | 0.0773503i | ||||
\(473\) | −42.7996 | − | 24.7103i | −1.96793 | − | 1.13618i | ||||
\(474\) | 3.37322 | + | 2.26697i | 0.154937 | + | 0.104125i | ||||
\(475\) | 2.61596 | + | 1.51033i | 0.120029 | + | 0.0692986i | ||||
\(476\) | −0.674886 | + | 2.83504i | −0.0309334 | + | 0.129944i | ||||
\(477\) | −0.0191266 | + | 0.139517i | −0.000875747 | + | 0.00638803i | ||||
\(478\) | 6.49417 | − | 11.2482i | 0.297036 | − | 0.514482i | ||||
\(479\) | −22.3302 | −1.02029 | −0.510146 | − | 0.860088i | \(-0.670409\pi\) | ||||
−0.510146 | + | 0.860088i | \(0.670409\pi\) | |||||||
\(480\) | −20.7162 | + | 10.1474i | −0.945560 | + | 0.463162i | ||||
\(481\) | −14.2545 | + | 0.434882i | −0.649949 | + | 0.0198289i | ||||
\(482\) | 11.4098 | 0.519704 | ||||||||
\(483\) | −3.47961 | + | 3.21165i | −0.158328 | + | 0.146135i | ||||
\(484\) | 21.5535 | + | 37.3317i | 0.979704 | + | 1.69690i | ||||
\(485\) | − | 24.9028i | − | 1.13078i | ||||||
\(486\) | 2.84436 | − | 8.02540i | 0.129023 | − | 0.364040i | ||||
\(487\) | 20.1441 | + | 34.8907i | 0.912817 | + | 1.58105i | 0.810066 | + | 0.586339i | \(0.199431\pi\) |
0.102752 | + | 0.994707i | \(0.467235\pi\) | |||||||
\(488\) | −7.26412 | −0.328831 | ||||||||
\(489\) | 12.1504 | − | 18.0796i | 0.549459 | − | 0.817587i | ||||
\(490\) | 5.26424 | + | 8.03856i | 0.237814 | + | 0.363145i | ||||
\(491\) | 6.70526 | − | 3.87128i | 0.302604 | − | 0.174709i | −0.341008 | − | 0.940060i | \(-0.610768\pi\) |
0.643612 | + | 0.765352i | \(0.277435\pi\) | |||||||
\(492\) | 11.6347 | + | 23.7525i | 0.524531 | + | 1.07085i | ||||
\(493\) | −2.88862 | − | 1.66775i | −0.130097 | − | 0.0751116i | ||||
\(494\) | 4.51871 | − | 0.137859i | 0.203307 | − | 0.00620256i | ||||
\(495\) | −35.9055 | − | 27.8573i | −1.61383 | − | 1.25209i | ||||
\(496\) | −21.2824 | + | 12.2874i | −0.955608 | + | 0.551721i | ||||
\(497\) | 34.0975 | + | 8.11698i | 1.52948 | + | 0.364096i | ||||
\(498\) | −10.0947 | + | 4.94467i | −0.452354 | + | 0.221576i | ||||
\(499\) | −7.94320 | − | 13.7580i | −0.355587 | − | 0.615894i | 0.631632 | − | 0.775269i | \(-0.282386\pi\) |
−0.987218 | + | 0.159375i | \(0.949052\pi\) | |||||||
\(500\) | 7.87759 | + | 13.6444i | 0.352296 | + | 0.610195i | ||||
\(501\) | 23.2014 | + | 1.58296i | 1.03656 | + | 0.0707213i | ||||
\(502\) | 9.61407 | − | 5.55069i | 0.429097 | − | 0.247739i | ||||
\(503\) | 14.9743 | − | 25.9362i | 0.667671 | − | 1.15644i | −0.310883 | − | 0.950448i | \(-0.600625\pi\) |
0.978554 | − | 0.205992i | \(-0.0660420\pi\) | |||||||
\(504\) | 12.5063 | − | 10.0566i | 0.557074 | − | 0.447958i | ||||
\(505\) | −6.68154 | − | 11.5728i | −0.297325 | − | 0.514981i | ||||
\(506\) | −2.94623 | + | 1.70101i | −0.130976 | + | 0.0756190i | ||||
\(507\) | 11.1191 | + | 19.5797i | 0.493818 | + | 0.869565i | ||||
\(508\) | 2.71600 | − | 4.70426i | 0.120503 | − | 0.208718i | ||||
\(509\) | −3.30037 | + | 5.71641i | −0.146286 | + | 0.253376i | −0.929852 | − | 0.367933i | \(-0.880065\pi\) |
0.783566 | + | 0.621309i | \(0.213399\pi\) | |||||||
\(510\) | 0.104759 | − | 1.53545i | 0.00463879 | − | 0.0679907i | ||||
\(511\) | 14.1715 | + | 3.37356i | 0.626912 | + | 0.149238i | ||||
\(512\) | 21.4795i | 0.949271i | ||||||||
\(513\) | −2.42073 | + | 11.6798i | −0.106878 | + | 0.515676i | ||||
\(514\) | −11.3018 | + | 6.52511i | −0.498502 | + | 0.287810i | ||||
\(515\) | −6.06769 | − | 3.50318i | −0.267375 | − | 0.154369i | ||||
\(516\) | 13.4792 | − | 20.0569i | 0.593389 | − | 0.882955i | ||||
\(517\) | 21.8874 | − | 12.6367i | 0.962607 | − | 0.555762i | ||||
\(518\) | −3.92665 | + | 4.15375i | −0.172527 | + | 0.182505i | ||||
\(519\) | 8.16106 | − | 12.1435i | 0.358231 | − | 0.533042i | ||||
\(520\) | −16.1382 | − | 8.67228i | −0.707706 | − | 0.380304i | ||||
\(521\) | 11.1062 | − | 19.2365i | 0.486570 | − | 0.842764i | −0.513311 | − | 0.858203i | \(-0.671581\pi\) |
0.999881 | + | 0.0154387i | \(0.00491447\pi\) | |||||||
\(522\) | 3.18954 | + | 7.81811i | 0.139602 | + | 0.342189i | ||||
\(523\) | −22.8268 | − | 13.1791i | −0.998147 | − | 0.576280i | −0.0904472 | − | 0.995901i | \(-0.528830\pi\) |
−0.907699 | + | 0.419621i | \(0.862163\pi\) | |||||||
\(524\) | 2.81082 | − | 4.86849i | 0.122791 | − | 0.212681i | ||||
\(525\) | 4.08989 | + | 4.43112i | 0.178497 | + | 0.193390i | ||||
\(526\) | −0.441265 | + | 0.764294i | −0.0192401 | + | 0.0333248i | ||||
\(527\) | − | 6.91940i | − | 0.301414i | ||||||
\(528\) | −21.5545 | + | 10.5580i | −0.938038 | + | 0.459478i | ||||
\(529\) | −10.9661 | − | 18.9939i | −0.476788 | − | 0.825822i | ||||
\(530\) | 0.0322176 | − | 0.0558025i | 0.00139944 | − | 0.00242390i | ||||
\(531\) | −3.05692 | + | 3.94009i | −0.132659 | + | 0.170985i | ||||
\(532\) | −7.09972 | + | 7.51033i | −0.307812 | + | 0.325614i | ||||
\(533\) | −15.3157 | + | 28.5009i | −0.663398 | + | 1.23451i | ||||
\(534\) | −0.0653976 | + | 0.958531i | −0.00283003 | + | 0.0414797i | ||||
\(535\) | 48.3127i | 2.08874i | ||||||||
\(536\) | 3.07832i | 0.132963i | ||||||||
\(537\) | 18.5713 | + | 12.4809i | 0.801412 | + | 0.538588i | ||||
\(538\) | − | 8.98647i | − | 0.387434i | ||||||
\(539\) | 23.1157 | + | 35.2980i | 0.995664 | + | 1.52039i | ||||
\(540\) | 14.7850 | − | 16.5889i | 0.636244 | − | 0.713874i | ||||
\(541\) | 7.27566 | + | 12.6018i | 0.312805 | + | 0.541794i | 0.978968 | − | 0.204012i | \(-0.0653981\pi\) |
−0.666164 | + | 0.745806i | \(0.732065\pi\) | |||||||
\(542\) | 0.167754 | + | 0.290559i | 0.00720566 | + | 0.0124806i | ||||
\(543\) | 1.95668 | + | 1.31498i | 0.0839691 | + | 0.0564314i | ||||
\(544\) | −2.97077 | − | 1.71518i | −0.127371 | − | 0.0735376i | ||||
\(545\) | 15.2064 | 0.651369 | ||||||||
\(546\) | 8.69468 | + | 2.41873i | 0.372098 | + | 0.103512i | ||||
\(547\) | 13.3560 | 0.571060 | 0.285530 | − | 0.958370i | \(-0.407830\pi\) | ||||
0.285530 | + | 0.958370i | \(0.407830\pi\) | |||||||
\(548\) | −12.1594 | − | 7.02025i | −0.519425 | − | 0.299890i | ||||
\(549\) | 9.97973 | − | 4.07141i | 0.425925 | − | 0.173764i | ||||
\(550\) | 2.16615 | + | 3.75189i | 0.0923651 | + | 0.159981i | ||||
\(551\) | −5.91439 | − | 10.2440i | −0.251961 | − | 0.436410i | ||||
\(552\) | −1.59181 | − | 3.24973i | −0.0677520 | − | 0.138318i | ||||
\(553\) | −8.25955 | − | 7.80798i | −0.351232 | − | 0.332029i | ||||
\(554\) | − | 5.28038i | − | 0.224342i | ||||||
\(555\) | −9.60350 | + | 14.2899i | −0.407646 | + | 0.606571i | ||||
\(556\) | − | 14.7441i | − | 0.625289i | ||||||
\(557\) | − | 21.4071i | − | 0.907046i | −0.891245 | − | 0.453523i | \(-0.850167\pi\) | ||
0.891245 | − | 0.453523i | \(-0.149833\pi\) | |||||||
\(558\) | −10.7373 | + | 13.8394i | −0.454546 | + | 0.585868i | ||||
\(559\) | 29.5482 | − | 0.901470i | 1.24976 | − | 0.0381281i | ||||
\(560\) | 14.6482 | − | 4.36956i | 0.619000 | − | 0.184648i | ||||
\(561\) | 0.460004 | − | 6.74227i | 0.0194214 | − | 0.284659i | ||||
\(562\) | 1.16111 | − | 2.01111i | 0.0489786 | − | 0.0848334i | ||||
\(563\) | −14.7814 | − | 25.6022i | −0.622963 | − | 1.07900i | −0.988931 | − | 0.148376i | \(-0.952596\pi\) |
0.365969 | − | 0.930627i | \(-0.380738\pi\) | |||||||
\(564\) | 5.43619 | + | 11.0981i | 0.228905 | + | 0.467316i | ||||
\(565\) | 21.5497i | 0.906601i | ||||||||
\(566\) | 3.67778 | − | 6.37011i | 0.154589 | − | 0.267756i | ||||
\(567\) | −11.5450 | + | 20.8258i | −0.484846 | + | 0.874599i | ||||
\(568\) | −13.3927 | + | 23.1968i | −0.561944 | + | 0.973316i | ||||
\(569\) | −23.8838 | − | 13.7893i | −1.00126 | − | 0.578078i | −0.0926389 | − | 0.995700i | \(-0.529530\pi\) |
−0.908621 | + | 0.417622i | \(0.862864\pi\) | |||||||
\(570\) | 3.04434 | − | 4.52993i | 0.127513 | − | 0.189738i | ||||
\(571\) | 17.4312 | − | 30.1918i | 0.729475 | − | 1.26349i | −0.227630 | − | 0.973748i | \(-0.573098\pi\) |
0.957105 | − | 0.289740i | \(-0.0935689\pi\) | |||||||
\(572\) | −32.5763 | − | 17.5057i | −1.36208 | − | 0.731952i | ||||
\(573\) | 14.8216 | + | 9.96088i | 0.619183 | + | 0.416122i | ||||
\(574\) | 3.70703 | + | 12.4272i | 0.154728 | + | 0.518700i | ||||
\(575\) | 1.17754 | − | 0.679853i | 0.0491068 | − | 0.0283518i | ||||
\(576\) | −1.93021 | − | 4.73128i | −0.0804255 | − | 0.197137i | ||||
\(577\) | −9.56438 | − | 5.52200i | −0.398170 | − | 0.229884i | 0.287524 | − | 0.957773i | \(-0.407168\pi\) |
−0.685694 | + | 0.727890i | \(0.740501\pi\) | |||||||
\(578\) | −7.84331 | + | 4.52834i | −0.326239 | + | 0.188354i | ||||
\(579\) | 3.12986 | − | 4.65719i | 0.130073 | − | 0.193546i | ||||
\(580\) | 22.0364i | 0.915014i | ||||||||
\(581\) | 30.1240 | − | 8.98598i | 1.24975 | − | 0.372801i | ||||
\(582\) | −9.35280 | − | 0.638112i | −0.387686 | − | 0.0264506i | ||||
\(583\) | 0.141470 | − | 0.245033i | 0.00585909 | − | 0.0101482i | ||||
\(584\) | −5.56624 | + | 9.64100i | −0.230332 | + | 0.398948i | ||||
\(585\) | 27.0319 | + | 2.86916i | 1.11763 | + | 0.118625i | ||||
\(586\) | 6.56417 | − | 3.78982i | 0.271163 | − | 0.156556i | ||||
\(587\) | 12.6832 | + | 21.9680i | 0.523493 | + | 0.906717i | 0.999626 | + | 0.0273434i | \(0.00870477\pi\) |
−0.476133 | + | 0.879373i | \(0.657962\pi\) | |||||||
\(588\) | −17.9892 | + | 10.1019i | −0.741860 | + | 0.416596i | ||||
\(589\) | 12.2692 | − | 21.2510i | 0.505546 | − | 0.875631i | ||||
\(590\) | 1.97612 | − | 1.14092i | 0.0813557 | − | 0.0469707i | ||||
\(591\) | −1.61748 | + | 23.7074i | −0.0665343 | + | 0.975192i | ||||
\(592\) | 4.54654 | + | 7.87484i | 0.186862 | + | 0.323654i | ||||
\(593\) | 5.88143 | + | 10.1869i | 0.241521 | + | 0.418327i | 0.961148 | − | 0.276034i | \(-0.0890203\pi\) |
−0.719627 | + | 0.694361i | \(0.755687\pi\) | |||||||
\(594\) | −11.3825 | + | 12.7713i | −0.467029 | + | 0.524013i | ||||
\(595\) | −0.996725 | + | 4.18701i | −0.0408618 | + | 0.171651i | ||||
\(596\) | 20.3541 | − | 11.7515i | 0.833738 | − | 0.481359i | ||||
\(597\) | 0.392625 | − | 5.75469i | 0.0160691 | − | 0.235524i | ||||
\(598\) | 0.963278 | − | 1.79256i | 0.0393913 | − | 0.0733031i | ||||
\(599\) | 39.8531 | + | 23.0092i | 1.62835 | + | 0.940131i | 0.984584 | + | 0.174911i | \(0.0559639\pi\) |
0.643770 | + | 0.765219i | \(0.277369\pi\) | |||||||
\(600\) | −4.13838 | + | 2.02710i | −0.168949 | + | 0.0827558i | ||||
\(601\) | −26.1034 | + | 15.0708i | −1.06478 | + | 0.614751i | −0.926751 | − | 0.375677i | \(-0.877410\pi\) |
−0.138030 | + | 0.990428i | \(0.544077\pi\) | |||||||
\(602\) | 8.13958 | − | 8.61033i | 0.331745 | − | 0.350931i | ||||
\(603\) | −1.72534 | − | 4.22912i | −0.0702614 | − | 0.172223i | ||||
\(604\) | 13.3021 | 0.541256 | ||||||||
\(605\) | 31.8319 | + | 55.1344i | 1.29415 | + | 2.24153i | ||||
\(606\) | −4.51762 | + | 2.21286i | −0.183516 | + | 0.0898913i | ||||
\(607\) | 36.2573i | 1.47164i | 0.677179 | + | 0.735818i | \(0.263202\pi\) | ||||
−0.677179 | + | 0.735818i | \(0.736798\pi\) | |||||||
\(608\) | −6.08259 | − | 10.5353i | −0.246681 | − | 0.427265i | ||||
\(609\) | −5.19409 | − | 23.0353i | −0.210475 | − | 0.933437i | ||||
\(610\) | −4.93178 | −0.199682 | ||||||||
\(611\) | −7.15614 | + | 13.3168i | −0.289507 | + | 0.538741i | ||||
\(612\) | 3.27384 | + | 0.448817i | 0.132337 | + | 0.0181423i | ||||
\(613\) | 33.6982 | 1.36106 | 0.680530 | − | 0.732721i | \(-0.261750\pi\) | ||||
0.680530 | + | 0.732721i | \(0.261750\pi\) | |||||||
\(614\) | 5.21433 | − | 9.03149i | 0.210433 | − | 0.364481i | ||||
\(615\) | 17.1830 | + | 35.0796i | 0.692884 | + | 1.41454i | ||||
\(616\) | −30.8987 | + | 9.21707i | −1.24494 | + | 0.371367i | ||||
\(617\) | −6.51889 | − | 3.76368i | −0.262441 | − | 0.151520i | 0.363007 | − | 0.931786i | \(-0.381750\pi\) |
−0.625447 | + | 0.780266i | \(0.715084\pi\) | |||||||
\(618\) | −1.47118 | + | 2.18909i | −0.0591795 | + | 0.0880582i | ||||
\(619\) | −39.6473 | − | 22.8904i | −1.59356 | − | 0.920043i | −0.992689 | − | 0.120697i | \(-0.961487\pi\) |
−0.600871 | − | 0.799346i | \(-0.705179\pi\) | |||||||
\(620\) | −39.5895 | + | 22.8570i | −1.58995 | + | 0.917960i | ||||
\(621\) | 4.00831 | + | 3.57243i | 0.160848 | + | 0.143357i | ||||
\(622\) | −1.24032 | + | 0.716101i | −0.0497325 | + | 0.0287130i | ||||
\(623\) | 0.622225 | − | 2.61382i | 0.0249289 | − | 0.104720i | ||||
\(624\) | 7.64105 | − | 12.1547i | 0.305887 | − | 0.486576i | ||||
\(625\) | 14.9239 | + | 25.8490i | 0.596957 | + | 1.03396i | ||||
\(626\) | −1.98828 | −0.0794675 | ||||||||
\(627\) | 13.3679 | − | 19.8913i | 0.533864 | − | 0.794382i | ||||
\(628\) | 15.0104i | 0.598981i | ||||||||
\(629\) | −2.56029 | −0.102086 | ||||||||
\(630\) | 8.49080 | − | 6.82768i | 0.338281 | − | 0.272021i | ||||
\(631\) | −14.0226 | + | 24.2878i | −0.558230 | + | 0.966882i | 0.439415 | + | 0.898284i | \(0.355186\pi\) |
−0.997644 | + | 0.0685980i | \(0.978147\pi\) | |||||||
\(632\) | 7.52214 | − | 4.34291i | 0.299215 | − | 0.172752i | ||||
\(633\) | −16.1496 | − | 1.10183i | −0.641887 | − | 0.0437940i | ||||
\(634\) | −9.25085 | −0.367398 | ||||||||
\(635\) | 4.01121 | − | 6.94761i | 0.159180 | − | 0.275708i | ||||
\(636\) | 0.114828 | + | 0.0771704i | 0.00455324 | + | 0.00306001i | ||||
\(637\) | −22.8681 | − | 10.6795i | −0.906065 | − | 0.423138i | ||||
\(638\) | − | 16.9652i | − | 0.671657i | ||||||
\(639\) | 5.39800 | − | 39.3750i | 0.213542 | − | 1.55765i | ||||
\(640\) | 28.9746i | 1.14532i | ||||||||
\(641\) | 0.799986 | − | 0.461872i | 0.0315975 | − | 0.0182428i | −0.484118 | − | 0.875003i | \(-0.660859\pi\) |
0.515716 | + | 0.856760i | \(0.327526\pi\) | |||||||
\(642\) | 18.1449 | + | 1.23797i | 0.716124 | + | 0.0488589i | ||||
\(643\) | 6.72532 | + | 3.88286i | 0.265221 | + | 0.153125i | 0.626714 | − | 0.779250i | \(-0.284400\pi\) |
−0.361493 | + | 0.932375i | \(0.617733\pi\) | |||||||
\(644\) | 1.32983 | + | 4.45802i | 0.0524025 | + | 0.175670i | ||||
\(645\) | 19.9072 | − | 29.6216i | 0.783844 | − | 1.16635i | ||||
\(646\) | 0.811620 | 0.0319328 | ||||||||
\(647\) | −24.2168 | −0.952061 | −0.476030 | − | 0.879429i | \(-0.657925\pi\) | ||||
−0.476030 | + | 0.879429i | \(0.657925\pi\) | |||||||
\(648\) | −12.7289 | − | 13.0039i | −0.500039 | − | 0.510841i | ||||
\(649\) | 8.67733 | − | 5.00986i | 0.340615 | − | 0.196654i | ||||
\(650\) | −2.28274 | − | 1.22669i | −0.0895363 | − | 0.0481147i | ||||
\(651\) | 35.9965 | − | 33.2245i | 1.41081 | − | 1.30217i | ||||
\(652\) | −10.7004 | − | 18.5337i | −0.419061 | − | 0.725835i | ||||
\(653\) | 31.2511 | + | 18.0428i | 1.22295 | + | 0.706070i | 0.965546 | − | 0.260234i | \(-0.0837996\pi\) |
0.257404 | + | 0.966304i | \(0.417133\pi\) | |||||||
\(654\) | 0.389650 | − | 5.71109i | 0.0152365 | − | 0.223321i | ||||
\(655\) | 4.15124 | − | 7.19017i | 0.162203 | − | 0.280943i | ||||
\(656\) | 20.6303 | 0.805477 | ||||||||
\(657\) | 2.24350 | − | 16.3650i | 0.0875275 | − | 0.638458i | ||||
\(658\) | 1.73208 | + | 5.80649i | 0.0675234 | + | 0.226361i | ||||
\(659\) | −10.7491 | − | 6.20598i | −0.418724 | − | 0.241751i | 0.275807 | − | 0.961213i | \(-0.411055\pi\) |
−0.694531 | + | 0.719462i | \(0.744388\pi\) | |||||||
\(660\) | −40.0956 | + | 19.6400i | −1.56072 | + | 0.764486i | ||||
\(661\) | 28.4702i | 1.10736i | 0.832728 | + | 0.553682i | \(0.186778\pi\) | ||||
−0.832728 | + | 0.553682i | \(0.813222\pi\) | |||||||
\(662\) | 4.93268 | + | 2.84789i | 0.191714 | + | 0.110686i | ||||
\(663\) | 1.88809 | + | 3.57437i | 0.0733275 | + | 0.138817i | ||||
\(664\) | 24.0230i | 0.932275i | ||||||||
\(665\) | −10.4854 | + | 11.0918i | −0.406607 | + | 0.430123i | ||||
\(666\) | 5.12080 | + | 3.97298i | 0.198427 | + | 0.153950i | ||||
\(667\) | −5.32456 | −0.206168 | ||||||||
\(668\) | 11.4236 | − | 19.7863i | 0.441993 | − | 0.765554i | ||||
\(669\) | 0.643535 | − | 9.43228i | 0.0248805 | − | 0.364673i | ||||
\(670\) | 2.08994i | 0.0807415i | ||||||||
\(671\) | −21.6559 | −0.836015 | ||||||||
\(672\) | −5.34181 | − | 23.6904i | −0.206065 | − | 0.913876i | ||||
\(673\) | 5.65042 | + | 9.78682i | 0.217808 | + | 0.377254i | 0.954137 | − | 0.299369i | \(-0.0967761\pi\) |
−0.736330 | + | 0.676623i | \(0.763443\pi\) | |||||||
\(674\) | −8.79553 | − | 5.07810i | −0.338791 | − | 0.195601i | ||||
\(675\) | 4.54932 | − | 5.10439i | 0.175103 | − | 0.196468i | ||||
\(676\) | 22.0804 | − | 1.34853i | 0.849246 | − | 0.0518666i | ||||
\(677\) | −6.45592 | − | 11.1820i | −0.248121 | − | 0.429758i | 0.714883 | − | 0.699244i | \(-0.246480\pi\) |
−0.963004 | + | 0.269485i | \(0.913146\pi\) | |||||||
\(678\) | 8.09346 | + | 0.552191i | 0.310827 | + | 0.0212068i | ||||
\(679\) | 25.5041 | + | 6.07131i | 0.978759 | + | 0.232996i | ||||
\(680\) | −2.84845 | − | 1.64456i | −0.109233 | − | 0.0630658i | ||||
\(681\) | −39.3725 | − | 2.68626i | −1.50876 | − | 0.102938i | ||||
\(682\) | 30.4787 | − | 17.5969i | 1.16709 | − | 0.673820i | ||||
\(683\) | −7.62396 | + | 4.40170i | −0.291723 | + | 0.168426i | −0.638719 | − | 0.769440i | \(-0.720535\pi\) |
0.346996 | + | 0.937867i | \(0.387202\pi\) | |||||||
\(684\) | 9.25884 | + | 7.18348i | 0.354020 | + | 0.274667i | ||||
\(685\) | −17.9580 | − | 10.3681i | −0.686140 | − | 0.396143i | ||||
\(686\) | −9.51610 | + | 3.43155i | −0.363327 | + | 0.131017i | ||||
\(687\) | −2.05657 | + | 30.1432i | −0.0784632 | + | 1.15003i | ||||
\(688\) | −9.42456 | − | 16.3238i | −0.359308 | − | 0.622340i | ||||
\(689\) | 0.00516104 | + | 0.169168i | 0.000196620 | + | 0.00644478i | ||||
\(690\) | −1.08072 | − | 2.20632i | −0.0411422 | − | 0.0839930i | ||||
\(691\) | −18.3482 | − | 10.5934i | −0.698000 | − | 0.402990i | 0.108602 | − | 0.994085i | \(-0.465363\pi\) |
−0.806602 | + | 0.591095i | \(0.798696\pi\) | |||||||
\(692\) | −7.18716 | − | 12.4485i | −0.273215 | − | 0.473222i | ||||
\(693\) | 37.2838 | − | 29.9809i | 1.41629 | − | 1.13888i | ||||
\(694\) | 4.13279 | 0.156878 | ||||||||
\(695\) | − | 21.7752i | − | 0.825982i | ||||||
\(696\) | 18.0036 | + | 1.22833i | 0.682425 | + | 0.0465597i | ||||
\(697\) | −2.90438 | + | 5.03053i | −0.110011 | + | 0.190545i | ||||
\(698\) | 14.6537 | 0.554652 | ||||||||
\(699\) | 0.220830 | − | 3.23670i | 0.00835254 | − | 0.122423i | ||||
\(700\) | 5.67707 | − | 1.69347i | 0.214573 | − | 0.0640072i | ||||
\(701\) | − | 39.6954i | − | 1.49927i | −0.661849 | − | 0.749637i | \(-0.730228\pi\) | ||
0.661849 | − | 0.749637i | \(-0.269772\pi\) | |||||||
\(702\) | 1.77025 | − | 10.0789i | 0.0668136 | − | 0.380405i | ||||
\(703\) | −7.86321 | − | 4.53982i | −0.296566 | − | 0.171223i | ||||
\(704\) | 10.2668i | 0.386945i | ||||||||
\(705\) | 8.02860 | + | 16.3906i | 0.302374 | + | 0.617306i | ||||
\(706\) | −6.07847 | − | 3.50941i | −0.228766 | − | 0.132078i | ||||
\(707\) | 13.4812 | − | 4.02144i | 0.507012 | − | 0.151242i | ||||
\(708\) | 2.15519 | + | 4.39989i | 0.0809971 | + | 0.165358i | ||||
\(709\) | −9.11397 | −0.342282 | −0.171141 | − | 0.985247i | \(-0.554745\pi\) | ||||
−0.171141 | + | 0.985247i | \(0.554745\pi\) | |||||||
\(710\) | −9.09260 | + | 15.7488i | −0.341239 | + | 0.591043i | ||||
\(711\) | −7.90009 | + | 10.1825i | −0.296277 | + | 0.381873i | ||||
\(712\) | 1.77820 | + | 1.02664i | 0.0666409 | + | 0.0384751i | ||||
\(713\) | −5.52284 | − | 9.56583i | −0.206832 | − | 0.358243i | ||||
\(714\) | 1.54698 | + | 0.481631i | 0.0578944 | + | 0.0180246i | ||||
\(715\) | −48.1113 | − | 25.8539i | −1.79926 | − | 0.966880i | ||||
\(716\) | 19.0378 | − | 10.9915i | 0.711474 | − | 0.410770i | ||||
\(717\) | 34.1841 | + | 22.9734i | 1.27663 | + | 0.857959i | ||||
\(718\) | −9.10300 | −0.339721 | ||||||||
\(719\) | −10.9246 | −0.407418 | −0.203709 | − | 0.979032i | \(-0.565300\pi\) | ||||
−0.203709 | + | 0.979032i | \(0.565300\pi\) | |||||||
\(720\) | −6.54730 | − | 16.0486i | −0.244003 | − | 0.598095i | ||||
\(721\) | 5.06709 | − | 5.36014i | 0.188708 | − | 0.199622i | ||||
\(722\) | −6.49492 | − | 3.74984i | −0.241716 | − | 0.139555i | ||||
\(723\) | −2.46280 | + | 36.0972i | −0.0915924 | + | 1.34247i | ||||
\(724\) | 2.00582 | − | 1.15806i | 0.0745458 | − | 0.0430390i | ||||
\(725\) | 6.78058i | 0.251824i | ||||||||
\(726\) | 21.5226 | − | 10.5424i | 0.798780 | − | 0.391265i | ||||
\(727\) | − | 45.7930i | − | 1.69837i | −0.528098 | − | 0.849183i | \(-0.677095\pi\) | ||
0.528098 | − | 0.849183i | \(-0.322905\pi\) | |||||||
\(728\) | 12.8162 | − | 14.4136i | 0.475000 | − | 0.534203i | ||||
\(729\) | 24.7759 | + | 10.7309i | 0.917627 | + | 0.397442i | ||||
\(730\) | −3.77905 | + | 6.54550i | −0.139869 | + | 0.242260i | ||||
\(731\) | 5.30725 | 0.196296 | ||||||||
\(732\) | 0.720789 | − | 10.5646i | 0.0266411 | − | 0.390478i | ||||
\(733\) | 17.4750 | − | 10.0892i | 0.645455 | − | 0.372654i | −0.141258 | − | 0.989973i | \(-0.545115\pi\) |
0.786713 | + | 0.617319i | \(0.211781\pi\) | |||||||
\(734\) | −7.42079 | + | 12.8532i | −0.273906 | + | 0.474420i | ||||
\(735\) | −26.5678 | + | 14.9193i | −0.979968 | + | 0.550307i | ||||
\(736\) | −5.47599 | −0.201848 | ||||||||
\(737\) | 9.17712i | 0.338043i | ||||||||
\(738\) | 13.6152 | − | 5.55457i | 0.501183 | − | 0.204466i | ||||
\(739\) | −48.5659 | −1.78652 | −0.893262 | − | 0.449536i | \(-0.851589\pi\) | ||||
−0.893262 | + | 0.449536i | \(0.851589\pi\) | |||||||
\(740\) | 8.45747 | + | 14.6488i | 0.310903 | + | 0.538500i | ||||
\(741\) | −0.539216 | + | 14.3256i | −0.0198086 | + | 0.526263i | ||||
\(742\) | 0.0492954 | + | 0.0466003i | 0.00180969 | + | 0.00171075i | ||||
\(743\) | 6.39543 | − | 3.69241i | 0.234626 | − | 0.135461i | −0.378078 | − | 0.925774i | \(-0.623415\pi\) |
0.612704 | + | 0.790312i | \(0.290082\pi\) | |||||||
\(744\) | 16.4673 | + | 33.6184i | 0.603719 | + | 1.23251i | ||||
\(745\) | 30.0606 | − | 17.3555i | 1.10134 | − | 0.635856i | ||||
\(746\) | 8.08311 | + | 4.66678i | 0.295944 | + | 0.170863i | ||||
\(747\) | −13.4645 | − | 33.0038i | −0.492640 | − | 1.20755i | ||||
\(748\) | −5.74985 | − | 3.31968i | −0.210235 | − | 0.121380i | ||||
\(749\) | −49.4794 | − | 11.7787i | −1.80794 | − | 0.430383i | ||||
\(750\) | 7.86631 | − | 3.85315i | 0.287237 | − | 0.140697i | ||||
\(751\) | 11.5832 | − | 20.0627i | 0.422676 | − | 0.732097i | −0.573524 | − | 0.819189i | \(-0.694424\pi\) |
0.996200 | + | 0.0870918i | \(0.0277573\pi\) | |||||||
\(752\) | 9.63931 | 0.351510 | ||||||||
\(753\) | 15.4855 | + | 31.6140i | 0.564322 | + | 1.15208i | ||||
\(754\) | 5.33967 | + | 8.62966i | 0.194459 | + | 0.314274i | ||||
\(755\) | 19.6456 | 0.714978 | ||||||||
\(756\) | 13.3850 | + | 19.1864i | 0.486806 | + | 0.697803i | ||||
\(757\) | −19.9604 | − | 34.5725i | −0.725475 | − | 1.25656i | −0.958778 | − | 0.284155i | \(-0.908287\pi\) |
0.233304 | − | 0.972404i | \(-0.425046\pi\) | |||||||
\(758\) | 12.4886i | 0.453608i | ||||||||
\(759\) | −4.74552 | − | 9.68812i | −0.172251 | − | 0.351657i | ||||
\(760\) | −5.83214 | − | 10.1016i | −0.211554 | − | 0.366422i | ||||
\(761\) | 7.97685 | 0.289161 | 0.144580 | − | 0.989493i | \(-0.453817\pi\) | ||||
0.144580 | + | 0.989493i | \(0.453817\pi\) | |||||||
\(762\) | −2.50655 | − | 1.68453i | −0.0908027 | − | 0.0610239i | ||||
\(763\) | −3.70732 | + | 15.5736i | −0.134214 | + | 0.563801i | ||||
\(764\) | 15.1939 | − | 8.77221i | 0.549696 | − | 0.317367i | ||||
\(765\) | 4.83506 | + | 0.662848i | 0.174812 | + | 0.0239653i | ||||
\(766\) | −4.03073 | − | 2.32714i | −0.145636 | − | 0.0840830i | ||||
\(767\) | −2.83707 | + | 5.27949i | −0.102441 | + | 0.190631i | ||||
\(768\) | 4.99540 | + | 0.340820i | 0.180256 | + | 0.0122983i | ||||
\(769\) | −8.79268 | + | 5.07646i | −0.317072 | + | 0.183062i | −0.650087 | − | 0.759860i | \(-0.725267\pi\) |
0.333015 | + | 0.942922i | \(0.391934\pi\) | |||||||
\(770\) | −20.9778 | + | 6.25768i | −0.755988 | + | 0.225511i | ||||
\(771\) | −18.2039 | − | 37.1639i | −0.655599 | − | 1.33842i | ||||
\(772\) | −2.75636 | − | 4.77416i | −0.0992036 | − | 0.171826i | ||||
\(773\) | −8.69927 | − | 15.0676i | −0.312891 | − | 0.541943i | 0.666096 | − | 0.745866i | \(-0.267964\pi\) |
−0.978987 | + | 0.203923i | \(0.934631\pi\) | |||||||
\(774\) | −10.6149 | − | 8.23561i | −0.381546 | − | 0.296023i | ||||
\(775\) | −12.1816 | + | 7.03307i | −0.437577 | + | 0.252635i | ||||
\(776\) | −10.0174 | + | 17.3507i | −0.359604 | + | 0.622853i | ||||
\(777\) | −12.2936 | − | 13.3193i | −0.441031 | − | 0.477827i | ||||
\(778\) | −3.48402 | − | 6.03450i | −0.124908 | − | 0.216347i | ||||
\(779\) | −17.8399 | + | 10.2999i | −0.639182 | + | 0.369032i | ||||
\(780\) | 14.2139 | − | 22.6101i | 0.508938 | − | 0.809571i | ||||
\(781\) | −39.9264 | + | 69.1545i | −1.42868 | + | 2.47454i | ||||
\(782\) | 0.182670 | − | 0.316393i | 0.00653226 | − | 0.0113142i | ||||
\(783\) | −25.4225 | + | 8.40317i | −0.908527 | + | 0.300305i | ||||
\(784\) | 0.903839 | + | 16.0672i | 0.0322800 | + | 0.573830i | ||||
\(785\) | 22.1686i | 0.791230i | ||||||||
\(786\) | −2.59406 | − | 1.74333i | −0.0925269 | − | 0.0621827i | ||||
\(787\) | −14.0025 | + | 8.08436i | −0.499136 | + | 0.288176i | −0.728357 | − | 0.685198i | \(-0.759716\pi\) |
0.229221 | + | 0.973374i | \(0.426382\pi\) | |||||||
\(788\) | 20.2178 | + | 11.6728i | 0.720230 | + | 0.415825i | ||||
\(789\) | −2.32274 | − | 1.56100i | −0.0826918 | − | 0.0555730i | ||||
\(790\) | 5.10696 | − | 2.94850i | 0.181697 | − | 0.104903i | ||||
\(791\) | −22.0701 | − | 5.25382i | −0.784721 | − | 0.186804i | ||||
\(792\) | 13.8108 | + | 33.8526i | 0.490744 | + | 1.20290i | ||||
\(793\) | 11.0157 | − | 6.81603i | 0.391178 | − | 0.242044i | ||||
\(794\) | 1.06319 | − | 1.84150i | 0.0377313 | − | 0.0653525i | ||||
\(795\) | 0.169588 | + | 0.113971i | 0.00601465 | + | 0.00404215i | ||||
\(796\) | −4.90764 | − | 2.83343i | −0.173947 | − | 0.100428i | ||||
\(797\) | 7.83061 | − | 13.5630i | 0.277374 | − | 0.480426i | −0.693357 | − | 0.720594i | \(-0.743869\pi\) |
0.970731 | + | 0.240168i | \(0.0772025\pi\) | |||||||
\(798\) | 3.89711 | + | 4.22225i | 0.137956 | + | 0.149466i | ||||
\(799\) | −1.35705 | + | 2.35047i | −0.0480088 | + | 0.0831537i | ||||
\(800\) | 6.97341i | 0.246547i | ||||||||
\(801\) | −3.01838 | − | 0.413795i | −0.106649 | − | 0.0146207i | ||||
\(802\) | −6.02431 | − | 10.4344i | −0.212726 | − | 0.368452i | ||||
\(803\) | −16.5941 | + | 28.7418i | −0.585593 | + | 1.01428i | ||||
\(804\) | −4.47696 | − | 0.305449i | −0.157890 | − | 0.0107724i | ||||
\(805\) | 1.96399 | + | 6.58395i | 0.0692216 | + | 0.232054i | ||||
\(806\) | −9.96509 | + | 18.5440i | −0.351005 | + | 0.653183i | ||||
\(807\) | 28.4304 | + | 1.93972i | 1.00080 | + | 0.0682813i | ||||
\(808\) | 10.7509i | 0.378215i | ||||||||
\(809\) | 7.94208i | 0.279229i | 0.990206 | + | 0.139614i | \(0.0445863\pi\) | ||||
−0.990206 | + | 0.139614i | \(0.955414\pi\) | |||||||
\(810\) | −8.64195 | − | 8.82864i | −0.303647 | − | 0.310207i | ||||
\(811\) | − | 27.8689i | − | 0.978608i | −0.872113 | − | 0.489304i | \(-0.837251\pi\) | ||
0.872113 | − | 0.489304i | \(-0.162749\pi\) | |||||||
\(812\) | −22.5686 | − | 5.37250i | −0.792002 | − | 0.188538i | ||||
\(813\) | −0.955447 | + | 0.468005i | −0.0335090 | + | 0.0164137i | ||||
\(814\) | −6.51114 | − | 11.2776i | −0.228215 | − | 0.395281i | ||||
\(815\) | −15.8032 | − | 27.3720i | −0.553563 | − | 0.958799i | ||||
\(816\) | 1.43770 | − | 2.13927i | 0.0503295 | − | 0.0748895i | ||||
\(817\) | 16.2997 | + | 9.41063i | 0.570254 | + | 0.329236i | ||||
\(818\) | −4.68694 | −0.163875 | ||||||||
\(819\) | −9.52884 | + | 26.9852i | −0.332965 | + | 0.942939i | ||||
\(820\) | 38.3764 | 1.34016 | ||||||||
\(821\) | 18.3241 | + | 10.5794i | 0.639515 | + | 0.369224i | 0.784428 | − | 0.620220i | \(-0.212957\pi\) |
−0.144912 | + | 0.989444i | \(0.546290\pi\) | |||||||
\(822\) | −4.35411 | + | 6.47886i | −0.151867 | + | 0.225976i | ||||
\(823\) | −23.3711 | − | 40.4800i | −0.814666 | − | 1.41104i | −0.909567 | − | 0.415556i | \(-0.863587\pi\) |
0.0949015 | − | 0.995487i | \(-0.469746\pi\) | |||||||
\(824\) | 2.81839 | + | 4.88159i | 0.0981832 | + | 0.170058i | ||||
\(825\) | −12.3374 | + | 6.04320i | −0.429532 | + | 0.210397i | ||||
\(826\) | 0.686687 | + | 2.30200i | 0.0238929 | + | 0.0800968i | ||||
\(827\) | 19.8390i | 0.689871i | 0.938626 | + | 0.344935i | \(0.112099\pi\) | ||||
−0.938626 | + | 0.344935i | \(0.887901\pi\) | |||||||
\(828\) | 4.88420 | − | 1.99260i | 0.169738 | − | 0.0692475i | ||||
\(829\) | 22.9829i | 0.798231i | 0.916901 | + | 0.399115i | \(0.130683\pi\) | ||||
−0.916901 | + | 0.399115i | \(0.869317\pi\) | |||||||
\(830\) | 16.3098i | 0.566121i | ||||||||
\(831\) | 16.7055 | + | 1.13976i | 0.579507 | + | 0.0395380i | ||||
\(832\) | −3.23141 | − | 5.22241i | −0.112029 | − | 0.181054i | ||||
\(833\) | −4.04511 | − | 2.04159i | −0.140155 | − | 0.0707369i | ||||
\(834\) | −8.17818 | − | 0.557971i | −0.283187 | − | 0.0193210i | ||||
\(835\) | 16.8713 | − | 29.2219i | 0.583855 | − | 1.01127i | ||||
\(836\) | −11.7727 | − | 20.3909i | −0.407167 | − | 0.705234i | ||||
\(837\) | −41.4659 | − | 36.9567i | −1.43327 | − | 1.27741i | ||||
\(838\) | 13.7073i | 0.473510i | ||||||||
\(839\) | −3.02970 | + | 5.24760i | −0.104597 | + | 0.181167i | −0.913573 | − | 0.406674i | \(-0.866689\pi\) |
0.808977 | + | 0.587841i | \(0.200022\pi\) | |||||||
\(840\) | −5.12186 | − | 22.7150i | −0.176721 | − | 0.783740i | ||||
\(841\) | −1.22374 | + | 2.11958i | −0.0421979 | + | 0.0730888i | ||||
\(842\) | 5.63583 | + | 3.25385i | 0.194224 | + | 0.112135i | ||||
\(843\) | 6.11189 | + | 4.10749i | 0.210505 | + | 0.141470i | ||||
\(844\) | −7.95152 | + | 13.7724i | −0.273703 | + | 0.474067i | ||||
\(845\) | 32.6101 | − | 1.99162i | 1.12182 | − | 0.0685137i | ||||
\(846\) | 6.36159 | − | 2.59532i | 0.218716 | − | 0.0892291i | ||||
\(847\) | −64.2265 | + | 19.1588i | −2.20685 | + | 0.658303i | ||||
\(848\) | 0.0934561 | − | 0.0539569i | 0.00320930 | − | 0.00185289i | ||||
\(849\) | 19.3592 | + | 13.0103i | 0.664406 | + | 0.446514i | ||||
\(850\) | −0.402912 | − | 0.232621i | −0.0138198 | − | 0.00797885i | ||||
\(851\) | −3.53952 | + | 2.04354i | −0.121333 | + | 0.0700517i | ||||
\(852\) | −32.4074 | − | 21.7794i | −1.11026 | − | 0.746150i | ||||
\(853\) | − | 26.7903i | − | 0.917284i | −0.888621 | − | 0.458642i | \(-0.848336\pi\) | ||
0.888621 | − | 0.458642i | \(-0.151664\pi\) | |||||||
\(854\) | 1.20237 | − | 5.05087i | 0.0411443 | − | 0.172837i | ||||
\(855\) | 13.6742 | + | 10.6091i | 0.467647 | + | 0.362824i | ||||
\(856\) | 19.4343 | − | 33.6612i | 0.664252 | − | 1.15052i | ||||
\(857\) | −4.19504 | + | 7.26603i | −0.143300 | + | 0.248203i | −0.928737 | − | 0.370738i | \(-0.879105\pi\) |
0.785437 | + | 0.618941i | \(0.212438\pi\) | |||||||
\(858\) | −10.9428 | + | 17.4068i | −0.373581 | + | 0.594258i | ||||
\(859\) | 10.3636 | − | 5.98343i | 0.353601 | − | 0.204152i | −0.312669 | − | 0.949862i | \(-0.601223\pi\) |
0.666270 | + | 0.745710i | \(0.267890\pi\) | |||||||
\(860\) | −17.5316 | − | 30.3655i | −0.597821 | − | 1.03546i | ||||
\(861\) | −40.1159 | + | 9.04550i | −1.36715 | + | 0.308270i | ||||
\(862\) | −7.88778 | + | 13.6620i | −0.268659 | + | 0.465331i | ||||
\(863\) | −16.9737 | + | 9.79980i | −0.577793 | + | 0.333589i | −0.760256 | − | 0.649624i | \(-0.774926\pi\) |
0.182463 | + | 0.983213i | \(0.441593\pi\) | |||||||
\(864\) | −26.1455 | + | 8.64215i | −0.889488 | + | 0.294012i | ||||
\(865\) | −10.6146 | − | 18.3850i | −0.360906 | − | 0.625108i | ||||
\(866\) | 2.04443 | + | 3.54106i | 0.0694727 | + | 0.120330i | ||||
\(867\) | −12.6333 | − | 25.7912i | −0.429049 | − | 0.875917i | ||||
\(868\) | −13.7570 | − | 46.1181i | −0.466944 | − | 1.56535i | ||||
\(869\) | 22.4251 | − | 12.9471i | 0.760719 | − | 0.439201i | ||||
\(870\) | 12.2231 | + | 0.833941i | 0.414401 | + | 0.0282733i | ||||
\(871\) | −2.88843 | − | 4.66812i | −0.0978708 | − | 0.158173i | ||||
\(872\) | −10.5948 | − | 6.11692i | −0.358786 | − | 0.207145i | ||||
\(873\) | 4.03758 | − | 29.4516i | 0.136651 | − | 0.996787i | ||||
\(874\) | 1.12204 | − | 0.647808i | 0.0379535 | − | 0.0219124i | ||||
\(875\) | −23.4741 | + | 7.00234i | −0.793571 | + | 0.236722i | ||||
\(876\) | −13.4691 | − | 9.05191i | −0.455079 | − | 0.305836i | ||||
\(877\) | −11.4236 | −0.385748 | −0.192874 | − | 0.981224i | \(-0.561781\pi\) | ||||
−0.192874 | + | 0.981224i | \(0.561781\pi\) | |||||||
\(878\) | 2.79133 | + | 4.83472i | 0.0942028 | + | 0.163164i | ||||
\(879\) | 10.5730 | + | 21.5850i | 0.356617 | + | 0.728045i | ||||
\(880\) | 34.8251i | 1.17395i | ||||||||
\(881\) | 22.1811 | + | 38.4188i | 0.747300 | + | 1.29436i | 0.949113 | + | 0.314937i | \(0.101983\pi\) |
−0.201813 | + | 0.979424i | \(0.564683\pi\) | |||||||
\(882\) | 4.92250 | + | 10.3604i | 0.165749 | + | 0.348854i | ||||
\(883\) | −12.9921 | −0.437220 | −0.218610 | − | 0.975812i | \(-0.570152\pi\) | ||||
−0.218610 | + | 0.975812i | \(0.570152\pi\) | |||||||
\(884\) | 3.96962 | − | 0.121107i | 0.133513 | − | 0.00407327i | ||||
\(885\) | 3.18296 | + | 6.49811i | 0.106994 | + | 0.218431i | ||||
\(886\) | 16.5871 | 0.557254 | ||||||||
\(887\) | 20.8583 | − | 36.1277i | 0.700354 | − | 1.21305i | −0.267989 | − | 0.963422i | \(-0.586359\pi\) |
0.968342 | − | 0.249626i | \(-0.0803077\pi\) | |||||||
\(888\) | 12.4394 | − | 6.09316i | 0.417438 | − | 0.204473i | ||||
\(889\) | 6.13745 | + | 5.80190i | 0.205844 | + | 0.194590i | ||||
\(890\) | 1.20726 | + | 0.697013i | 0.0404675 | + | 0.0233639i | ||||
\(891\) | −37.9475 | − | 38.7673i | −1.27129 | − | 1.29875i | ||||
\(892\) | −8.04391 | − | 4.64415i | −0.269330 | − | 0.155498i | ||||
\(893\) | −8.33556 | + | 4.81254i | −0.278939 | + | 0.161045i | ||||
\(894\) | −5.74797 | − | 11.7347i | −0.192241 | − | 0.392466i | ||||
\(895\) | 28.1165 | − | 16.2330i | 0.939829 | − | 0.542611i | ||||
\(896\) | −29.6743 | − | 7.06403i | −0.991350 | − | 0.235993i | ||||
\(897\) | 5.46317 | + | 3.43443i | 0.182410 | + | 0.114672i | ||||
\(898\) | 5.99714 | + | 10.3874i | 0.200127 | + | 0.346631i | ||||
\(899\) | 55.0825 | 1.83711 | ||||||||
\(900\) | −2.53748 | − | 6.21980i | −0.0845826 | − | 0.207327i | ||||
\(901\) | 0.0303847i | 0.00101226i | ||||||||
\(902\) | −29.5448 | −0.983734 | ||||||||
\(903\) | 25.4835 | + | 27.6096i | 0.848038 | + | 0.918792i | ||||
\(904\) | 8.66858 | − | 15.0144i | 0.288313 | − | 0.499372i | ||||
\(905\) | 2.96235 | − | 1.71032i | 0.0984720 | − | 0.0568528i | ||||
\(906\) | 0.503402 | − | 7.37836i | 0.0167244 | − | 0.245130i | ||||
\(907\) | −58.0241 | −1.92666 | −0.963329 | − | 0.268324i | \(-0.913530\pi\) | ||||
−0.963329 | + | 0.268324i | \(0.913530\pi\) | |||||||
\(908\) | −19.3858 | + | 33.5771i | −0.643339 | + | 1.11430i | ||||
\(909\) | −6.02568 | − | 14.7700i | −0.199859 | − | 0.489890i | ||||
\(910\) | 8.70121 | − | 9.78571i | 0.288442 | − | 0.324393i | ||||
\(911\) | 41.9642i | 1.39034i | 0.718847 | + | 0.695168i | \(0.244670\pi\) | ||||
−0.718847 | + | 0.695168i | \(0.755330\pi\) | |||||||
\(912\) | 8.20876 | − | 4.02089i | 0.271819 | − | 0.133145i | ||||
\(913\) | 71.6177i | 2.37020i | ||||||||
\(914\) | 17.0561 | − | 9.84732i | 0.564164 | − | 0.325720i | ||||
\(915\) | 1.06452 | − | 15.6026i | 0.0351919 | − | 0.515807i | ||||
\(916\) | 25.7063 | + | 14.8415i | 0.849359 | + | 0.490378i | ||||
\(917\) | 6.35172 | + | 6.00446i | 0.209752 | + | 0.198285i | ||||
\(918\) | 0.372842 | − | 1.79893i | 0.0123056 | − | 0.0593736i | ||||
\(919\) | −10.7537 | −0.354732 | −0.177366 | − | 0.984145i | \(-0.556758\pi\) | ||||
−0.177366 | + | 0.984145i | \(0.556758\pi\) | |||||||
\(920\) | −5.25052 | −0.173104 | ||||||||
\(921\) | 27.4473 | + | 18.4460i | 0.904420 | + | 0.607815i | ||||
\(922\) | −4.32422 | + | 2.49659i | −0.142411 | + | 0.0822208i | ||||
\(923\) | −1.45657 | − | 47.7433i | −0.0479437 | − | 1.57149i | ||||
\(924\) | −10.3389 | − | 45.8521i | −0.340126 | − | 1.50842i | ||||
\(925\) | 2.60235 | + | 4.50741i | 0.0855648 | + | 0.148203i | ||||
\(926\) | −10.4716 | − | 6.04576i | −0.344117 | − | 0.198676i | ||||
\(927\) | −6.60806 | − | 5.12687i | −0.217037 | − | 0.168388i | ||||
\(928\) | 13.6538 | − | 23.6491i | 0.448209 | − | 0.776320i | ||||
\(929\) | −31.6451 | −1.03824 | −0.519121 | − | 0.854701i | \(-0.673741\pi\) | ||||
−0.519121 | + | 0.854701i | \(0.673741\pi\) | |||||||
\(930\) | 11.1800 | + | 22.8243i | 0.366607 | + | 0.748439i | ||||
\(931\) | −8.80334 | − | 13.4428i | −0.288518 | − | 0.440571i | ||||
\(932\) | −2.76027 | − | 1.59364i | −0.0904158 | − | 0.0522016i | ||||
\(933\) | −1.99780 | − | 4.07857i | −0.0654050 | − | 0.133526i | ||||
\(934\) | 0.345159i | 0.0112939i | ||||||||
\(935\) | −8.49184 | − | 4.90276i | −0.277713 | − | 0.160338i | ||||
\(936\) | −17.6800 | − | 12.8729i | −0.577888 | − | 0.420765i | ||||
\(937\) | − | 2.52593i | − | 0.0825185i | −0.999148 | − | 0.0412593i | \(-0.986863\pi\) | ||
0.999148 | − | 0.0412593i | \(-0.0131370\pi\) | |||||||
\(938\) | −2.14041 | − | 0.509529i | −0.0698869 | − | 0.0166367i | ||||
\(939\) | 0.429167 | − | 6.29029i | 0.0140053 | − | 0.205276i | ||||
\(940\) | 17.9310 | 0.584846 | ||||||||
\(941\) | −0.833591 | + | 1.44382i | −0.0271743 | + | 0.0470672i | −0.879293 | − | 0.476282i | \(-0.841984\pi\) |
0.852118 | + | 0.523349i | \(0.175318\pi\) | |||||||
\(942\) | 8.32590 | + | 0.568050i | 0.271272 | + | 0.0185081i | ||||
\(943\) | 9.27271i | 0.301961i | ||||||||
\(944\) | 3.82153 | 0.124380 | ||||||||
\(945\) | 19.7679 | + | 28.3360i | 0.643051 | + | 0.921770i | ||||
\(946\) | 13.4970 | + | 23.3775i | 0.438825 | + | 0.760067i | ||||
\(947\) | 17.3559 | + | 10.0204i | 0.563991 | + | 0.325620i | 0.754746 | − | 0.656017i | \(-0.227760\pi\) |
−0.190755 | + | 0.981638i | \(0.561094\pi\) | |||||||
\(948\) | 5.56973 | + | 11.3708i | 0.180896 | + | 0.369306i | ||||
\(949\) | −0.605378 | − | 19.8430i | −0.0196514 | − | 0.644130i | ||||
\(950\) | −0.824953 | − | 1.42886i | −0.0267650 | − | 0.0463584i | ||||
\(951\) | 1.99678 | − | 29.2668i | 0.0647502 | − | 0.949042i | ||||
\(952\) | 2.37872 | − | 2.51630i | 0.0770949 | − | 0.0815536i | ||||
\(953\) | −6.14947 | − | 3.55040i | −0.199201 | − | 0.115009i | 0.397082 | − | 0.917783i | \(-0.370023\pi\) |
−0.596283 | + | 0.802774i | \(0.703356\pi\) | |||||||
\(954\) | 0.0471500 | − | 0.0607720i | 0.00152654 | − | 0.00196757i | ||||
\(955\) | 22.4396 | − | 12.9555i | 0.726127 | − | 0.419230i | ||||
\(956\) | 35.0427 | − | 20.2319i | 1.13336 | − | 0.654347i | ||||
\(957\) | 53.6725 | + | 3.66191i | 1.73499 | + | 0.118373i | ||||
\(958\) | 10.5628 | + | 6.09846i | 0.341270 | + | 0.197032i | ||||
\(959\) | 14.9966 | − | 15.8639i | 0.484265 | − | 0.512273i | ||||
\(960\) | −7.39703 | − | 0.504676i | −0.238738 | − | 0.0162884i | ||||
\(961\) | 41.6336 | + | 72.1116i | 1.34302 | + | 2.32618i | ||||
\(962\) | 6.86157 | + | 3.68725i | 0.221226 | + | 0.118882i | ||||
\(963\) | −7.83312 | + | 57.1377i | −0.252419 | + | 1.84124i | ||||
\(964\) | 30.7839 | + | 17.7731i | 0.991483 | + | 0.572433i | ||||
\(965\) | −4.07081 | − | 7.05085i | −0.131044 | − | 0.226975i | ||||
\(966\) | 2.52307 | − | 0.568914i | 0.0811786 | − | 0.0183045i | ||||
\(967\) | −57.1582 | −1.83808 | −0.919041 | − | 0.394161i | \(-0.871035\pi\) | ||||
−0.919041 | + | 0.394161i | \(0.871035\pi\) | |||||||
\(968\) | − | 51.2189i | − | 1.64624i | ||||||
\(969\) | −0.175187 | + | 2.56771i | −0.00562782 | + | 0.0824868i | ||||
\(970\) | −6.80105 | + | 11.7798i | −0.218369 | + | 0.378226i | ||||
\(971\) | −2.08912 | −0.0670431 | −0.0335216 | − | 0.999438i | \(-0.510672\pi\) | ||||
−0.0335216 | + | 0.999438i | \(0.510672\pi\) | |||||||
\(972\) | 20.1753 | − | 17.2220i | 0.647123 | − | 0.552396i | ||||
\(973\) | 22.3011 | + | 5.30881i | 0.714940 | + | 0.170193i | ||||
\(974\) | − | 22.0058i | − | 0.705111i | ||||||
\(975\) | 4.37359 | − | 6.95709i | 0.140067 | − | 0.222805i | ||||
\(976\) | −7.15300 | − | 4.12979i | −0.228962 | − | 0.132191i | ||||
\(977\) | − | 21.3475i | − | 0.682968i | −0.939888 | − | 0.341484i | \(-0.889071\pi\) | ||
0.939888 | − | 0.341484i | \(-0.110929\pi\) | |||||||
\(978\) | −10.6851 | + | 5.23387i | −0.341672 | + | 0.167361i | ||||
\(979\) | 5.30119 | + | 3.06064i | 0.169427 | + | 0.0978186i | ||||
\(980\) | 1.68132 | + | 29.8883i | 0.0537078 | + | 0.954745i | ||||
\(981\) | 17.9840 | + | 2.46546i | 0.574185 | + | 0.0787161i | ||||
\(982\) | −4.22905 | −0.134955 | ||||||||
\(983\) | 26.2192 | − | 45.4129i | 0.836261 | − | 1.44845i | −0.0567381 | − | 0.998389i | \(-0.518070\pi\) |
0.892999 | − | 0.450058i | \(-0.148597\pi\) | |||||||
\(984\) | 2.13913 | − | 31.3532i | 0.0681931 | − | 0.999504i | ||||
\(985\) | 29.8593 | + | 17.2393i | 0.951395 | + | 0.549288i | ||||
\(986\) | 0.910938 | + | 1.57779i | 0.0290102 | + | 0.0502471i | ||||
\(987\) | −18.7438 | + | 4.22643i | −0.596622 | + | 0.134529i | ||||
\(988\) | 12.4063 | + | 6.66685i | 0.394697 | + | 0.212101i | ||||
\(989\) | 7.33709 | − | 4.23607i | 0.233306 | − | 0.134699i | ||||
\(990\) | 9.37644 | + | 22.9833i | 0.298003 | + | 0.730457i | ||||
\(991\) | −7.60585 | −0.241608 | −0.120804 | − | 0.992676i | \(-0.538547\pi\) | ||||
−0.120804 | + | 0.992676i | \(0.538547\pi\) | |||||||
\(992\) | 56.6490 | 1.79861 | ||||||||
\(993\) | −10.0745 | + | 14.9908i | −0.319706 | + | 0.475718i | ||||
\(994\) | −13.9124 | − | 13.1517i | −0.441274 | − | 0.417148i | ||||
\(995\) | −7.24798 | − | 4.18463i | −0.229777 | − | 0.132662i | ||||
\(996\) | −34.9380 | − | 2.38371i | −1.10705 | − | 0.0755307i | ||||
\(997\) | 24.5233 | − | 14.1586i | 0.776662 | − | 0.448406i | −0.0585841 | − | 0.998282i | \(-0.518659\pi\) |
0.835246 | + | 0.549877i | \(0.185325\pi\) | |||||||
\(998\) | 8.67729i | 0.274675i | ||||||||
\(999\) | −13.6746 | + | 15.3431i | −0.432645 | + | 0.485433i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 273.2.bf.b.185.15 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bf.b.185.18 | yes | 64 | |
7.5 | odd | 6 | 273.2.r.b.68.18 | yes | 64 | ||
13.9 | even | 3 | 273.2.r.b.269.18 | yes | 64 | ||
21.5 | even | 6 | 273.2.r.b.68.15 | ✓ | 64 | ||
39.35 | odd | 6 | 273.2.r.b.269.15 | yes | 64 | ||
91.61 | odd | 6 | inner | 273.2.bf.b.152.18 | yes | 64 | |
273.152 | even | 6 | inner | 273.2.bf.b.152.15 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.15 | ✓ | 64 | 21.5 | even | 6 | ||
273.2.r.b.68.18 | yes | 64 | 7.5 | odd | 6 | ||
273.2.r.b.269.15 | yes | 64 | 39.35 | odd | 6 | ||
273.2.r.b.269.18 | yes | 64 | 13.9 | even | 3 | ||
273.2.bf.b.152.15 | yes | 64 | 273.152 | even | 6 | inner | |
273.2.bf.b.152.18 | yes | 64 | 91.61 | odd | 6 | inner | |
273.2.bf.b.185.15 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bf.b.185.18 | yes | 64 | 3.2 | odd | 2 | inner |