Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(17,273)]
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, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.br (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 | 17.7 | ||
Character | \(\chi\) | \(=\) | 273.17 |
Dual form | 273.2.br.b.257.7 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.76950 | −1.25123 | −0.625613 | − | 0.780133i | \(-0.715151\pi\) | ||||
−0.625613 | + | 0.780133i | \(0.715151\pi\) | |||||||
\(3\) | 0.796103 | + | 1.53825i | 0.459630 | + | 0.888110i | ||||
\(4\) | 1.13114 | 0.565569 | ||||||||
\(5\) | −1.27320 | + | 0.735080i | −0.569390 | + | 0.328738i | −0.756906 | − | 0.653524i | \(-0.773290\pi\) |
0.187516 | + | 0.982262i | \(0.439956\pi\) | |||||||
\(6\) | −1.40871 | − | 2.72194i | −0.575101 | − | 1.11123i | ||||
\(7\) | 1.84076 | − | 1.90042i | 0.695743 | − | 0.718291i | ||||
\(8\) | 1.53745 | 0.543572 | ||||||||
\(9\) | −1.73244 | + | 2.44921i | −0.577480 | + | 0.816405i | ||||
\(10\) | 2.25292 | − | 1.30072i | 0.712436 | − | 0.411325i | ||||
\(11\) | 2.02394 | + | 3.50557i | 0.610241 | + | 1.05697i | 0.991200 | + | 0.132376i | \(0.0422606\pi\) |
−0.380959 | + | 0.924592i | \(0.624406\pi\) | |||||||
\(12\) | 0.900501 | + | 1.73997i | 0.259952 | + | 0.502287i | ||||
\(13\) | 3.05379 | + | 1.91686i | 0.846970 | + | 0.531640i | ||||
\(14\) | −3.25723 | + | 3.36280i | −0.870532 | + | 0.898745i | ||||
\(15\) | −2.14433 | − | 1.37330i | −0.553664 | − | 0.354584i | ||||
\(16\) | −4.98280 | −1.24570 | ||||||||
\(17\) | −6.22727 | −1.51033 | −0.755167 | − | 0.655532i | \(-0.772444\pi\) | ||||
−0.755167 | + | 0.655532i | \(0.772444\pi\) | |||||||
\(18\) | 3.06556 | − | 4.33389i | 0.722559 | − | 1.02151i | ||||
\(19\) | −2.02595 | + | 3.50905i | −0.464784 | + | 0.805030i | −0.999192 | − | 0.0401968i | \(-0.987202\pi\) |
0.534407 | + | 0.845227i | \(0.320535\pi\) | |||||||
\(20\) | −1.44016 | + | 0.831476i | −0.322029 | + | 0.185924i | ||||
\(21\) | 4.38876 | + | 1.31863i | 0.957706 | + | 0.287748i | ||||
\(22\) | −3.58137 | − | 6.20311i | −0.763550 | − | 1.32251i | ||||
\(23\) | − | 0.654380i | − | 0.136448i | −0.997670 | − | 0.0682238i | \(-0.978267\pi\) | ||
0.997670 | − | 0.0682238i | \(-0.0217332\pi\) | |||||||
\(24\) | 1.22397 | + | 2.36499i | 0.249842 | + | 0.482752i | ||||
\(25\) | −1.41932 | + | 2.45833i | −0.283863 | + | 0.491666i | ||||
\(26\) | −5.40370 | − | 3.39188i | −1.05975 | − | 0.665203i | ||||
\(27\) | −5.14671 | − | 0.715107i | −0.990485 | − | 0.137622i | ||||
\(28\) | 2.08215 | − | 2.14964i | 0.393490 | − | 0.406243i | ||||
\(29\) | −0.812171 | − | 0.468907i | −0.150816 | − | 0.0870738i | 0.422693 | − | 0.906273i | \(-0.361085\pi\) |
−0.573509 | + | 0.819199i | \(0.694418\pi\) | |||||||
\(30\) | 3.79440 | + | 2.43005i | 0.692759 | + | 0.443665i | ||||
\(31\) | 1.65710 | − | 2.87019i | 0.297625 | − | 0.515501i | −0.677967 | − | 0.735092i | \(-0.737139\pi\) |
0.975592 | + | 0.219591i | \(0.0704722\pi\) | |||||||
\(32\) | 5.74217 | 1.01508 | ||||||||
\(33\) | −3.78118 | + | 5.90412i | −0.658219 | + | 1.02778i | ||||
\(34\) | 11.0192 | 1.88977 | ||||||||
\(35\) | −0.946690 | + | 3.77271i | −0.160020 | + | 0.637705i | ||||
\(36\) | −1.95963 | + | 2.77040i | −0.326605 | + | 0.461733i | ||||
\(37\) | 10.0086i | 1.64540i | 0.568475 | + | 0.822701i | \(0.307534\pi\) | ||||
−0.568475 | + | 0.822701i | \(0.692466\pi\) | |||||||
\(38\) | 3.58492 | − | 6.20926i | 0.581551 | − | 1.00728i | ||||
\(39\) | −0.517475 | + | 6.22352i | −0.0828623 | + | 0.996561i | ||||
\(40\) | −1.95748 | + | 1.13015i | −0.309505 | + | 0.178693i | ||||
\(41\) | 2.97494 | + | 1.71758i | 0.464608 | + | 0.268241i | 0.713980 | − | 0.700166i | \(-0.246891\pi\) |
−0.249372 | + | 0.968408i | \(0.580224\pi\) | |||||||
\(42\) | −7.76592 | − | 2.33331i | −1.19831 | − | 0.360038i | ||||
\(43\) | 3.47167 | + | 6.01311i | 0.529424 | + | 0.916990i | 0.999411 | + | 0.0343164i | \(0.0109254\pi\) |
−0.469987 | + | 0.882674i | \(0.655741\pi\) | |||||||
\(44\) | 2.28935 | + | 3.96528i | 0.345133 | + | 0.597788i | ||||
\(45\) | 0.405369 | − | 4.39181i | 0.0604288 | − | 0.654692i | ||||
\(46\) | 1.15793i | 0.170727i | ||||||||
\(47\) | 7.24756 | − | 4.18438i | 1.05717 | − | 0.610355i | 0.132519 | − | 0.991181i | \(-0.457694\pi\) |
0.924647 | + | 0.380826i | \(0.124360\pi\) | |||||||
\(48\) | −3.96682 | − | 7.66481i | −0.572562 | − | 1.10632i | ||||
\(49\) | −0.223190 | − | 6.99644i | −0.0318843 | − | 0.999492i | ||||
\(50\) | 2.51148 | − | 4.35002i | 0.355177 | − | 0.615185i | ||||
\(51\) | −4.95755 | − | 9.57911i | −0.694195 | − | 1.34134i | ||||
\(52\) | 3.45426 | + | 2.16823i | 0.479020 | + | 0.300679i | ||||
\(53\) | 1.08605 | + | 0.627033i | 0.149181 | + | 0.0861296i | 0.572732 | − | 0.819742i | \(-0.305883\pi\) |
−0.423552 | + | 0.905872i | \(0.639217\pi\) | |||||||
\(54\) | 9.10711 | + | 1.26538i | 1.23932 | + | 0.172197i | ||||
\(55\) | −5.15374 | − | 2.97551i | −0.694930 | − | 0.401218i | ||||
\(56\) | 2.83009 | − | 2.92181i | 0.378186 | − | 0.390443i | ||||
\(57\) | −7.01066 | − | 0.322860i | −0.928585 | − | 0.0427638i | ||||
\(58\) | 1.43714 | + | 0.829732i | 0.188705 | + | 0.108949i | ||||
\(59\) | − | 11.2914i | − | 1.47001i | −0.678062 | − | 0.735005i | \(-0.737180\pi\) | ||
0.678062 | − | 0.735005i | \(-0.262820\pi\) | |||||||
\(60\) | −2.42553 | − | 1.55339i | −0.313135 | − | 0.200541i | ||||
\(61\) | 3.60157 | + | 2.07937i | 0.461134 | + | 0.266236i | 0.712521 | − | 0.701651i | \(-0.247553\pi\) |
−0.251387 | + | 0.967887i | \(0.580887\pi\) | |||||||
\(62\) | −2.93225 | + | 5.07881i | −0.372396 | + | 0.645009i | ||||
\(63\) | 1.46552 | + | 7.80078i | 0.184638 | + | 0.982807i | ||||
\(64\) | −0.195178 | −0.0243972 | ||||||||
\(65\) | −5.29712 | − | 0.195750i | −0.657027 | − | 0.0242798i | ||||
\(66\) | 6.69081 | − | 10.4474i | 0.823582 | − | 1.28598i | ||||
\(67\) | −0.435969 | + | 0.251707i | −0.0532622 | + | 0.0307509i | −0.526395 | − | 0.850240i | \(-0.676457\pi\) |
0.473132 | + | 0.880991i | \(0.343123\pi\) | |||||||
\(68\) | −7.04390 | −0.854198 | ||||||||
\(69\) | 1.00660 | − | 0.520953i | 0.121181 | − | 0.0627154i | ||||
\(70\) | 1.67517 | − | 6.67582i | 0.200221 | − | 0.797913i | ||||
\(71\) | 2.60070 | + | 4.50455i | 0.308647 | + | 0.534592i | 0.978067 | − | 0.208293i | \(-0.0667906\pi\) |
−0.669420 | + | 0.742884i | \(0.733457\pi\) | |||||||
\(72\) | −2.66355 | + | 3.76555i | −0.313902 | + | 0.443775i | ||||
\(73\) | 6.11936 | − | 10.5990i | 0.716217 | − | 1.24052i | −0.246272 | − | 0.969201i | \(-0.579206\pi\) |
0.962488 | − | 0.271323i | \(-0.0874610\pi\) | |||||||
\(74\) | − | 17.7102i | − | 2.05877i | ||||||
\(75\) | −4.91145 | − | 0.226185i | −0.567125 | − | 0.0261176i | ||||
\(76\) | −2.29163 | + | 3.96921i | −0.262868 | + | 0.455300i | ||||
\(77\) | 10.3876 | + | 2.60658i | 1.18378 | + | 0.297047i | ||||
\(78\) | 0.915673 | − | 11.0125i | 0.103680 | − | 1.24692i | ||||
\(79\) | −6.00957 | − | 10.4089i | −0.676130 | − | 1.17109i | −0.976137 | − | 0.217154i | \(-0.930323\pi\) |
0.300007 | − | 0.953937i | \(-0.403011\pi\) | |||||||
\(80\) | 6.34408 | − | 3.66276i | 0.709290 | − | 0.409509i | ||||
\(81\) | −2.99729 | − | 8.48624i | −0.333033 | − | 0.942915i | ||||
\(82\) | −5.26416 | − | 3.03927i | −0.581330 | − | 0.335631i | ||||
\(83\) | 14.7126i | 1.61492i | 0.589923 | + | 0.807460i | \(0.299158\pi\) | ||||
−0.589923 | + | 0.807460i | \(0.700842\pi\) | |||||||
\(84\) | 4.96429 | + | 1.49155i | 0.541649 | + | 0.162741i | ||||
\(85\) | 7.92853 | − | 4.57754i | 0.859970 | − | 0.496504i | ||||
\(86\) | −6.14312 | − | 10.6402i | −0.662430 | − | 1.14736i | ||||
\(87\) | 0.0747261 | − | 1.62262i | 0.00801148 | − | 0.173963i | ||||
\(88\) | 3.11171 | + | 5.38965i | 0.331710 | + | 0.574538i | ||||
\(89\) | − | 2.56014i | − | 0.271374i | −0.990752 | − | 0.135687i | \(-0.956676\pi\) | ||
0.990752 | − | 0.135687i | \(-0.0433242\pi\) | |||||||
\(90\) | −0.717301 | + | 7.77131i | −0.0756102 | + | 0.819169i | ||||
\(91\) | 9.26414 | − | 2.27502i | 0.971146 | − | 0.238486i | ||||
\(92\) | − | 0.740193i | − | 0.0771705i | ||||||
\(93\) | 5.73430 | + | 0.264080i | 0.594619 | + | 0.0273838i | ||||
\(94\) | −12.8246 | + | 7.40427i | −1.32275 | + | 0.763692i | ||||
\(95\) | − | 5.95693i | − | 0.611168i | ||||||
\(96\) | 4.57136 | + | 8.83291i | 0.466562 | + | 0.901505i | ||||
\(97\) | −7.00912 | − | 12.1402i | −0.711669 | − | 1.23265i | −0.964230 | − | 0.265066i | \(-0.914606\pi\) |
0.252562 | − | 0.967581i | \(-0.418727\pi\) | |||||||
\(98\) | 0.394935 | + | 12.3802i | 0.0398945 | + | 1.25059i | ||||
\(99\) | −12.0922 | − | 1.11613i | −1.21532 | − | 0.112175i | ||||
\(100\) | −1.60544 | + | 2.78071i | −0.160544 | + | 0.278071i | ||||
\(101\) | 1.24444 | + | 2.15544i | 0.123827 | + | 0.214474i | 0.921274 | − | 0.388915i | \(-0.127150\pi\) |
−0.797447 | + | 0.603389i | \(0.793817\pi\) | |||||||
\(102\) | 8.77239 | + | 16.9503i | 0.868596 | + | 1.67833i | ||||
\(103\) | 5.00180 | − | 2.88779i | 0.492842 | − | 0.284543i | −0.232911 | − | 0.972498i | \(-0.574825\pi\) |
0.725753 | + | 0.687956i | \(0.241492\pi\) | |||||||
\(104\) | 4.69507 | + | 2.94708i | 0.460389 | + | 0.288985i | ||||
\(105\) | −6.55705 | + | 1.54722i | −0.639902 | + | 0.150993i | ||||
\(106\) | −1.92177 | − | 1.10954i | −0.186659 | − | 0.107768i | ||||
\(107\) | 14.2977i | 1.38221i | 0.722754 | + | 0.691106i | \(0.242876\pi\) | ||||
−0.722754 | + | 0.691106i | \(0.757124\pi\) | |||||||
\(108\) | −5.82164 | − | 0.808884i | −0.560187 | − | 0.0778349i | ||||
\(109\) | 3.15718 | + | 1.82280i | 0.302403 | + | 0.174592i | 0.643522 | − | 0.765428i | \(-0.277473\pi\) |
−0.341119 | + | 0.940020i | \(0.610806\pi\) | |||||||
\(110\) | 9.11955 | + | 5.26518i | 0.869515 | + | 0.502015i | ||||
\(111\) | −15.3957 | + | 7.96786i | −1.46130 | + | 0.756276i | ||||
\(112\) | −9.17215 | + | 9.46942i | −0.866687 | + | 0.894776i | ||||
\(113\) | 9.39981 | − | 5.42699i | 0.884260 | − | 0.510528i | 0.0121995 | − | 0.999926i | \(-0.496117\pi\) |
0.872061 | + | 0.489398i | \(0.162783\pi\) | |||||||
\(114\) | 12.4054 | + | 0.571301i | 1.16187 | + | 0.0535072i | ||||
\(115\) | 0.481021 | + | 0.833153i | 0.0448554 | + | 0.0776919i | ||||
\(116\) | −0.918677 | − | 0.530398i | −0.0852970 | − | 0.0492462i | ||||
\(117\) | −9.98531 | + | 4.15855i | −0.923142 | + | 0.384459i | ||||
\(118\) | 19.9801i | 1.83931i | ||||||||
\(119\) | −11.4629 | + | 11.8344i | −1.05080 | + | 1.08486i | ||||
\(120\) | −3.29681 | − | 2.11138i | −0.300956 | − | 0.192742i | ||||
\(121\) | −2.69266 | + | 4.66383i | −0.244788 | + | 0.423985i | ||||
\(122\) | −6.37299 | − | 3.67945i | −0.576984 | − | 0.333122i | ||||
\(123\) | −0.273718 | + | 5.94358i | −0.0246803 | + | 0.535915i | ||||
\(124\) | 1.87441 | − | 3.24658i | 0.168327 | − | 0.291551i | ||||
\(125\) | − | 11.5240i | − | 1.03074i | ||||||
\(126\) | −2.59324 | − | 13.8035i | −0.231025 | − | 1.22971i | ||||
\(127\) | −6.74644 | + | 11.6852i | −0.598650 | + | 1.03689i | 0.394371 | + | 0.918952i | \(0.370963\pi\) |
−0.993021 | + | 0.117941i | \(0.962371\pi\) | |||||||
\(128\) | −11.1390 | −0.984556 | ||||||||
\(129\) | −6.48587 | + | 10.1274i | −0.571049 | + | 0.891663i | ||||
\(130\) | 9.37326 | + | 0.346380i | 0.822089 | + | 0.0303795i | ||||
\(131\) | −6.98355 | − | 12.0959i | −0.610155 | − | 1.05682i | −0.991214 | − | 0.132269i | \(-0.957774\pi\) |
0.381059 | − | 0.924551i | \(-0.375560\pi\) | |||||||
\(132\) | −4.27704 | + | 6.67837i | −0.372268 | + | 0.581278i | ||||
\(133\) | 2.93937 | + | 10.3095i | 0.254876 | + | 0.893945i | ||||
\(134\) | 0.771449 | − | 0.445396i | 0.0666430 | − | 0.0384764i | ||||
\(135\) | 7.07843 | − | 2.87277i | 0.609214 | − | 0.247249i | ||||
\(136\) | −9.57414 | −0.820976 | ||||||||
\(137\) | 17.4533 | 1.49114 | 0.745568 | − | 0.666430i | \(-0.232178\pi\) | ||||
0.745568 | + | 0.666430i | \(0.232178\pi\) | |||||||
\(138\) | −1.78118 | + | 0.921828i | −0.151624 | + | 0.0784712i | ||||
\(139\) | 5.45898 | − | 3.15175i | 0.463025 | − | 0.267328i | −0.250290 | − | 0.968171i | \(-0.580526\pi\) |
0.713315 | + | 0.700843i | \(0.247193\pi\) | |||||||
\(140\) | −1.07084 | + | 4.26746i | −0.0905022 | + | 0.360666i | ||||
\(141\) | 12.2064 | + | 7.81738i | 1.02797 | + | 0.658342i | ||||
\(142\) | −4.60195 | − | 7.97081i | −0.386187 | − | 0.668895i | ||||
\(143\) | −0.538971 | + | 14.5849i | −0.0450710 | + | 1.21965i | ||||
\(144\) | 8.63241 | − | 12.2039i | 0.719368 | − | 1.01700i | ||||
\(145\) | 1.37874 | 0.114498 | ||||||||
\(146\) | −10.8282 | + | 18.7550i | −0.896149 | + | 1.55218i | ||||
\(147\) | 10.5846 | − | 5.91321i | 0.873004 | − | 0.487713i | ||||
\(148\) | 11.3211i | 0.930587i | ||||||||
\(149\) | 10.3426 | − | 17.9139i | 0.847296 | − | 1.46756i | −0.0363157 | − | 0.999340i | \(-0.511562\pi\) |
0.883612 | − | 0.468220i | \(-0.155104\pi\) | |||||||
\(150\) | 8.69082 | + | 0.400236i | 0.709602 | + | 0.0326791i | ||||
\(151\) | −8.90661 | − | 5.14223i | −0.724810 | − | 0.418469i | 0.0917108 | − | 0.995786i | \(-0.470766\pi\) |
−0.816520 | + | 0.577317i | \(0.804100\pi\) | |||||||
\(152\) | −3.11480 | + | 5.39500i | −0.252644 | + | 0.437592i | ||||
\(153\) | 10.7884 | − | 15.2519i | 0.872189 | − | 1.23304i | ||||
\(154\) | −18.3809 | − | 4.61235i | −1.48118 | − | 0.371673i | ||||
\(155\) | 4.87242i | 0.391362i | ||||||||
\(156\) | −0.585335 | + | 7.03966i | −0.0468643 | + | 0.563624i | ||||
\(157\) | −3.26325 | − | 1.88404i | −0.260436 | − | 0.150363i | 0.364098 | − | 0.931361i | \(-0.381377\pi\) |
−0.624533 | + | 0.780998i | \(0.714711\pi\) | |||||||
\(158\) | 10.6340 | + | 18.4185i | 0.845992 | + | 1.46530i | ||||
\(159\) | −0.0999253 | + | 2.16981i | −0.00792460 | + | 0.172077i | ||||
\(160\) | −7.31090 | + | 4.22095i | −0.577978 | + | 0.333696i | ||||
\(161\) | −1.24360 | − | 1.20456i | −0.0980091 | − | 0.0949324i | ||||
\(162\) | 5.30372 | + | 15.0164i | 0.416700 | + | 1.17980i | ||||
\(163\) | 8.40059 | + | 4.85008i | 0.657985 | + | 0.379888i | 0.791509 | − | 0.611158i | \(-0.209296\pi\) |
−0.133524 | + | 0.991046i | \(0.542629\pi\) | |||||||
\(164\) | 3.36507 | + | 1.94282i | 0.262768 | + | 0.151709i | ||||
\(165\) | 0.474185 | − | 10.2966i | 0.0369152 | − | 0.801587i | ||||
\(166\) | − | 26.0340i | − | 2.02063i | ||||||
\(167\) | 0.655208 | + | 0.378285i | 0.0507015 | + | 0.0292725i | 0.525137 | − | 0.851018i | \(-0.324014\pi\) |
−0.474435 | + | 0.880291i | \(0.657348\pi\) | |||||||
\(168\) | 6.74752 | + | 2.02733i | 0.520582 | + | 0.156412i | ||||
\(169\) | 5.65132 | + | 11.7074i | 0.434717 | + | 0.900567i | ||||
\(170\) | −14.0295 | + | 8.09996i | −1.07602 | + | 0.621239i | ||||
\(171\) | −5.08457 | − | 11.0412i | −0.388826 | − | 0.844341i | ||||
\(172\) | 3.92693 | + | 6.80165i | 0.299426 | + | 0.518621i | ||||
\(173\) | 0.356798 | − | 0.617993i | 0.0271269 | − | 0.0469851i | −0.852143 | − | 0.523309i | \(-0.824698\pi\) |
0.879270 | + | 0.476323i | \(0.158031\pi\) | |||||||
\(174\) | −0.132228 | + | 2.87123i | −0.0100242 | + | 0.217668i | ||||
\(175\) | 2.05923 | + | 7.22249i | 0.155663 | + | 0.545969i | ||||
\(176\) | −10.0849 | − | 17.4675i | −0.760177 | − | 1.31667i | ||||
\(177\) | 17.3690 | − | 8.98908i | 1.30553 | − | 0.675660i | ||||
\(178\) | 4.53017i | 0.339551i | ||||||||
\(179\) | 0.854044 | − | 0.493082i | 0.0638342 | − | 0.0368547i | −0.467743 | − | 0.883864i | \(-0.654933\pi\) |
0.531577 | + | 0.847010i | \(0.321599\pi\) | |||||||
\(180\) | 0.458528 | − | 4.96774i | 0.0341766 | − | 0.370273i | ||||
\(181\) | − | 10.9251i | − | 0.812056i | −0.913861 | − | 0.406028i | \(-0.866914\pi\) | ||
0.913861 | − | 0.406028i | \(-0.133086\pi\) | |||||||
\(182\) | −16.3929 | + | 4.02564i | −1.21512 | + | 0.298401i | ||||
\(183\) | −0.331373 | + | 7.19552i | −0.0244958 | + | 0.531908i | ||||
\(184\) | − | 1.00608i | − | 0.0741691i | ||||||
\(185\) | −7.35711 | − | 12.7429i | −0.540905 | − | 0.936875i | ||||
\(186\) | −10.1469 | − | 0.467290i | −0.744004 | − | 0.0342634i | ||||
\(187\) | −12.6036 | − | 21.8301i | −0.921668 | − | 1.59638i | ||||
\(188\) | 8.19799 | − | 4.73311i | 0.597900 | − | 0.345197i | ||||
\(189\) | −10.8329 | + | 8.46457i | −0.787975 | + | 0.615707i | ||||
\(190\) | 10.5408i | 0.764710i | ||||||||
\(191\) | 3.82542 | + | 2.20861i | 0.276797 | + | 0.159809i | 0.631973 | − | 0.774991i | \(-0.282245\pi\) |
−0.355175 | + | 0.934800i | \(0.615579\pi\) | |||||||
\(192\) | −0.155381 | − | 0.300233i | −0.0112137 | − | 0.0216674i | ||||
\(193\) | 8.07496 | − | 4.66208i | 0.581249 | − | 0.335584i | −0.180381 | − | 0.983597i | \(-0.557733\pi\) |
0.761629 | + | 0.648013i | \(0.224400\pi\) | |||||||
\(194\) | 12.4027 | + | 21.4820i | 0.890459 | + | 1.54232i | ||||
\(195\) | −3.91594 | − | 8.30414i | −0.280426 | − | 0.594672i | ||||
\(196\) | −0.252459 | − | 7.91394i | −0.0180328 | − | 0.565281i | ||||
\(197\) | 2.75695 | − | 4.77517i | 0.196424 | − | 0.340217i | −0.750942 | − | 0.660368i | \(-0.770400\pi\) |
0.947367 | + | 0.320151i | \(0.103734\pi\) | |||||||
\(198\) | 21.3972 | + | 1.97499i | 1.52064 | + | 0.140356i | ||||
\(199\) | 19.5662i | 1.38701i | 0.720451 | + | 0.693506i | \(0.243935\pi\) | ||||
−0.720451 | + | 0.693506i | \(0.756065\pi\) | |||||||
\(200\) | −2.18213 | + | 3.77957i | −0.154300 | + | 0.267256i | ||||
\(201\) | −0.734266 | − | 0.470246i | −0.0517911 | − | 0.0331686i | ||||
\(202\) | −2.20205 | − | 3.81406i | −0.154935 | − | 0.268356i | ||||
\(203\) | −2.38613 | + | 0.680319i | −0.167474 | + | 0.0477490i | ||||
\(204\) | −5.60766 | − | 10.8353i | −0.392615 | − | 0.758622i | ||||
\(205\) | −5.05024 | −0.352724 | ||||||||
\(206\) | −8.85070 | + | 5.10995i | −0.616657 | + | 0.356027i | ||||
\(207\) | 1.60272 | + | 1.13367i | 0.111396 | + | 0.0787958i | ||||
\(208\) | −15.2165 | − | 9.55132i | −1.05507 | − | 0.662265i | ||||
\(209\) | −16.4016 | −1.13452 | ||||||||
\(210\) | 11.6027 | − | 2.73781i | 0.800663 | − | 0.188927i | ||||
\(211\) | 9.34045 | − | 16.1781i | 0.643023 | − | 1.11375i | −0.341731 | − | 0.939798i | \(-0.611013\pi\) |
0.984754 | − | 0.173951i | \(-0.0556534\pi\) | |||||||
\(212\) | 1.22847 | + | 0.709260i | 0.0843720 | + | 0.0487122i | ||||
\(213\) | −4.85871 | + | 7.58662i | −0.332913 | + | 0.519827i | ||||
\(214\) | − | 25.2998i | − | 1.72946i | ||||||
\(215\) | −8.84022 | − | 5.10390i | −0.602898 | − | 0.348083i | ||||
\(216\) | −7.91283 | − | 1.09944i | −0.538400 | − | 0.0748077i | ||||
\(217\) | −2.40423 | − | 8.43253i | −0.163210 | − | 0.572437i | ||||
\(218\) | −5.58663 | − | 3.22545i | −0.378375 | − | 0.218455i | ||||
\(219\) | 21.1756 | + | 0.975195i | 1.43092 | + | 0.0658975i | ||||
\(220\) | −5.82959 | − | 3.36571i | −0.393031 | − | 0.226916i | ||||
\(221\) | −19.0168 | − | 11.9368i | −1.27921 | − | 0.802955i | ||||
\(222\) | 27.2428 | − | 14.0991i | 1.82842 | − | 0.946273i | ||||
\(223\) | −4.29313 | + | 7.43591i | −0.287489 | + | 0.497945i | −0.973210 | − | 0.229919i | \(-0.926154\pi\) |
0.685721 | + | 0.727865i | \(0.259487\pi\) | |||||||
\(224\) | 10.5700 | − | 10.9125i | 0.706236 | − | 0.729124i | ||||
\(225\) | −3.56209 | − | 7.73512i | −0.237473 | − | 0.515674i | ||||
\(226\) | −16.6330 | + | 9.60306i | −1.10641 | + | 0.638786i | ||||
\(227\) | − | 4.17198i | − | 0.276904i | −0.990369 | − | 0.138452i | \(-0.955787\pi\) | ||
0.990369 | − | 0.138452i | \(-0.0442127\pi\) | |||||||
\(228\) | −7.93002 | − | 0.365199i | −0.525178 | − | 0.0241859i | ||||
\(229\) | 2.16262 | + | 3.74576i | 0.142910 | + | 0.247527i | 0.928591 | − | 0.371104i | \(-0.121021\pi\) |
−0.785681 | + | 0.618631i | \(0.787687\pi\) | |||||||
\(230\) | −0.851168 | − | 1.47427i | −0.0561243 | − | 0.0972102i | ||||
\(231\) | 4.26005 | + | 18.0539i | 0.280291 | + | 1.18786i | ||||
\(232\) | −1.24868 | − | 0.720923i | −0.0819796 | − | 0.0473309i | ||||
\(233\) | 4.32000 | − | 2.49415i | 0.283013 | − | 0.163397i | −0.351774 | − | 0.936085i | \(-0.614421\pi\) |
0.634786 | + | 0.772688i | \(0.281088\pi\) | |||||||
\(234\) | 17.6690 | − | 7.35857i | 1.15506 | − | 0.481045i | ||||
\(235\) | −6.15171 | + | 10.6551i | −0.401293 | + | 0.695060i | ||||
\(236\) | − | 12.7721i | − | 0.831391i | ||||||
\(237\) | 11.2273 | − | 17.5308i | 0.729289 | − | 1.13875i | ||||
\(238\) | 20.2837 | − | 20.9410i | 1.31479 | − | 1.35741i | ||||
\(239\) | 15.4855 | 1.00168 | 0.500838 | − | 0.865541i | \(-0.333025\pi\) | ||||
0.500838 | + | 0.865541i | \(0.333025\pi\) | |||||||
\(240\) | 10.6848 | + | 6.84287i | 0.689700 | + | 0.441705i | ||||
\(241\) | −14.2965 | −0.920916 | −0.460458 | − | 0.887682i | \(-0.652315\pi\) | ||||
−0.460458 | + | 0.887682i | \(0.652315\pi\) | |||||||
\(242\) | 4.76467 | − | 8.25266i | 0.306285 | − | 0.530501i | ||||
\(243\) | 10.6678 | − | 11.3665i | 0.684341 | − | 0.729162i | ||||
\(244\) | 4.07388 | + | 2.35205i | 0.260803 | + | 0.150575i | ||||
\(245\) | 5.42711 | + | 8.74377i | 0.346725 | + | 0.558619i | ||||
\(246\) | 0.484344 | − | 10.5172i | 0.0308807 | − | 0.670551i | ||||
\(247\) | −12.9132 | + | 6.83245i | −0.821645 | + | 0.434739i | ||||
\(248\) | 2.54772 | − | 4.41279i | 0.161781 | − | 0.280212i | ||||
\(249\) | −22.6317 | + | 11.7128i | −1.43423 | + | 0.742265i | ||||
\(250\) | 20.3918i | 1.28969i | ||||||||
\(251\) | −2.21716 | − | 3.84023i | −0.139946 | − | 0.242393i | 0.787530 | − | 0.616276i | \(-0.211359\pi\) |
−0.927476 | + | 0.373883i | \(0.878026\pi\) | |||||||
\(252\) | 1.65771 | + | 8.82376i | 0.104426 | + | 0.555845i | ||||
\(253\) | 2.29397 | − | 1.32442i | 0.144221 | − | 0.0832659i | ||||
\(254\) | 11.9378 | − | 20.6770i | 0.749047 | − | 1.29739i | ||||
\(255\) | 13.3533 | + | 8.55189i | 0.836218 | + | 0.535540i | ||||
\(256\) | 20.1008 | 1.25630 | ||||||||
\(257\) | −2.81687 | −0.175712 | −0.0878559 | − | 0.996133i | \(-0.528001\pi\) | ||||
−0.0878559 | + | 0.996133i | \(0.528001\pi\) | |||||||
\(258\) | 11.4768 | − | 17.9204i | 0.714512 | − | 1.11567i | ||||
\(259\) | 19.0205 | + | 18.4234i | 1.18188 | + | 1.14478i | ||||
\(260\) | −5.99177 | − | 0.221420i | −0.371594 | − | 0.0137319i | ||||
\(261\) | 2.55549 | − | 1.17683i | 0.158181 | − | 0.0728437i | ||||
\(262\) | 12.3574 | + | 21.4036i | 0.763443 | + | 1.32232i | ||||
\(263\) | −24.0024 | + | 13.8578i | −1.48005 | + | 0.854508i | −0.999745 | − | 0.0225935i | \(-0.992808\pi\) |
−0.480306 | + | 0.877101i | \(0.659474\pi\) | |||||||
\(264\) | −5.81340 | + | 9.07732i | −0.357790 | + | 0.558670i | ||||
\(265\) | −1.84368 | −0.113256 | ||||||||
\(266\) | −5.20122 | − | 18.2426i | −0.318907 | − | 1.11853i | ||||
\(267\) | 3.93814 | − | 2.03813i | 0.241010 | − | 0.124732i | ||||
\(268\) | −0.493141 | + | 0.284715i | −0.0301234 | + | 0.0173918i | ||||
\(269\) | −5.78651 | −0.352810 | −0.176405 | − | 0.984318i | \(-0.556447\pi\) | ||||
−0.176405 | + | 0.984318i | \(0.556447\pi\) | |||||||
\(270\) | −12.5253 | + | 5.08337i | −0.762265 | + | 0.309364i | ||||
\(271\) | −13.0082 | −0.790189 | −0.395095 | − | 0.918640i | \(-0.629288\pi\) | ||||
−0.395095 | + | 0.918640i | \(0.629288\pi\) | |||||||
\(272\) | 31.0293 | 1.88143 | ||||||||
\(273\) | 10.8748 | + | 12.4394i | 0.658170 | + | 0.752869i | ||||
\(274\) | −30.8836 | −1.86575 | ||||||||
\(275\) | −11.4904 | −0.692900 | ||||||||
\(276\) | 1.13860 | − | 0.589270i | 0.0685359 | − | 0.0354699i | ||||
\(277\) | 12.7590 | 0.766614 | 0.383307 | − | 0.923621i | \(-0.374785\pi\) | ||||
0.383307 | + | 0.923621i | \(0.374785\pi\) | |||||||
\(278\) | −9.65968 | + | 5.57702i | −0.579349 | + | 0.334487i | ||||
\(279\) | 4.15887 | + | 9.03104i | 0.248985 | + | 0.540674i | ||||
\(280\) | −1.45549 | + | 5.80037i | −0.0869823 | + | 0.346639i | ||||
\(281\) | 3.87071 | 0.230907 | 0.115454 | − | 0.993313i | \(-0.463168\pi\) | ||||
0.115454 | + | 0.993313i | \(0.463168\pi\) | |||||||
\(282\) | −21.5993 | − | 13.8329i | −1.28622 | − | 0.823736i | ||||
\(283\) | −15.0181 | + | 8.67072i | −0.892735 | + | 0.515421i | −0.874836 | − | 0.484419i | \(-0.839031\pi\) |
−0.0178990 | + | 0.999840i | \(0.505698\pi\) | |||||||
\(284\) | 2.94175 | + | 5.09526i | 0.174561 | + | 0.302348i | ||||
\(285\) | 9.16327 | − | 4.74233i | 0.542785 | − | 0.280911i | ||||
\(286\) | 0.953709 | − | 25.8080i | 0.0563940 | − | 1.52606i | ||||
\(287\) | 8.74029 | − | 2.49197i | 0.515923 | − | 0.147097i | ||||
\(288\) | −9.94797 | + | 14.0638i | −0.586190 | + | 0.828718i | ||||
\(289\) | 21.7789 | 1.28111 | ||||||||
\(290\) | −2.43968 | −0.143263 | ||||||||
\(291\) | 13.0946 | − | 20.4466i | 0.767622 | − | 1.19860i | ||||
\(292\) | 6.92183 | − | 11.9890i | 0.405070 | − | 0.701601i | ||||
\(293\) | 2.06067 | − | 1.18973i | 0.120386 | − | 0.0695048i | −0.438598 | − | 0.898683i | \(-0.644525\pi\) |
0.558984 | + | 0.829179i | \(0.311191\pi\) | |||||||
\(294\) | −18.7295 | + | 10.4634i | −1.09233 | + | 0.610240i | ||||
\(295\) | 8.30004 | + | 14.3761i | 0.483247 | + | 0.837009i | ||||
\(296\) | 15.3877i | 0.894394i | ||||||||
\(297\) | −7.90978 | − | 19.4895i | −0.458972 | − | 1.13089i | ||||
\(298\) | −18.3012 | + | 31.6986i | −1.06016 | + | 1.83625i | ||||
\(299\) | 1.25435 | − | 1.99834i | 0.0725410 | − | 0.115567i | ||||
\(300\) | −5.55552 | − | 0.255847i | −0.320748 | − | 0.0147713i | ||||
\(301\) | 17.8179 | + | 4.47107i | 1.02701 | + | 0.257708i | ||||
\(302\) | 15.7603 | + | 9.09919i | 0.906901 | + | 0.523600i | ||||
\(303\) | −2.32491 | + | 3.63022i | −0.133562 | + | 0.208551i | ||||
\(304\) | 10.0949 | − | 17.4849i | 0.578982 | − | 1.00283i | ||||
\(305\) | −6.11401 | −0.350087 | ||||||||
\(306\) | −19.0901 | + | 26.9883i | −1.09131 | + | 1.54282i | ||||
\(307\) | 5.15215 | 0.294049 | 0.147024 | − | 0.989133i | \(-0.453030\pi\) | ||||
0.147024 | + | 0.989133i | \(0.453030\pi\) | |||||||
\(308\) | 11.7498 | + | 2.94840i | 0.669510 | + | 0.168001i | ||||
\(309\) | 8.42410 | + | 5.39505i | 0.479230 | + | 0.306914i | ||||
\(310\) | − | 8.62175i | − | 0.489682i | ||||||
\(311\) | 0.0551115 | − | 0.0954559i | 0.00312509 | − | 0.00541281i | −0.864459 | − | 0.502704i | \(-0.832339\pi\) |
0.867584 | + | 0.497291i | \(0.165672\pi\) | |||||||
\(312\) | −0.795594 | + | 9.56838i | −0.0450416 | + | 0.541703i | ||||
\(313\) | −5.85152 | + | 3.37837i | −0.330747 | + | 0.190957i | −0.656173 | − | 0.754611i | \(-0.727826\pi\) |
0.325426 | + | 0.945568i | \(0.394492\pi\) | |||||||
\(314\) | 5.77433 | + | 3.33381i | 0.325864 | + | 0.188138i | ||||
\(315\) | −7.60009 | − | 8.85465i | −0.428217 | − | 0.498903i | ||||
\(316\) | −6.79765 | − | 11.7739i | −0.382398 | − | 0.662332i | ||||
\(317\) | 3.19208 | + | 5.52884i | 0.179285 | + | 0.310531i | 0.941636 | − | 0.336633i | \(-0.109288\pi\) |
−0.762351 | + | 0.647164i | \(0.775955\pi\) | |||||||
\(318\) | 0.176818 | − | 3.83947i | 0.00991547 | − | 0.215307i | ||||
\(319\) | − | 3.79616i | − | 0.212544i | ||||||
\(320\) | 0.248499 | − | 0.143471i | 0.0138915 | − | 0.00802028i | ||||
\(321\) | −21.9935 | + | 11.3824i | −1.22756 | + | 0.635306i | ||||
\(322\) | 2.20055 | + | 2.13147i | 0.122632 | + | 0.118782i | ||||
\(323\) | 12.6161 | − | 21.8518i | 0.701980 | − | 1.21587i | ||||
\(324\) | −3.39035 | − | 9.59910i | −0.188353 | − | 0.533283i | ||||
\(325\) | −9.04656 | + | 4.78660i | −0.501813 | + | 0.265513i | ||||
\(326\) | −14.8649 | − | 8.58223i | −0.823289 | − | 0.475326i | ||||
\(327\) | −0.290485 | + | 6.30767i | −0.0160639 | + | 0.348815i | ||||
\(328\) | 4.57384 | + | 2.64071i | 0.252548 | + | 0.145809i | ||||
\(329\) | 5.38895 | − | 21.4759i | 0.297103 | − | 1.18400i | ||||
\(330\) | −0.839071 | + | 18.2198i | −0.0461893 | + | 1.00297i | ||||
\(331\) | 10.8871 | + | 6.28568i | 0.598411 | + | 0.345492i | 0.768416 | − | 0.639951i | \(-0.221045\pi\) |
−0.170006 | + | 0.985443i | \(0.554379\pi\) | |||||||
\(332\) | 16.6420i | 0.913348i | ||||||||
\(333\) | −24.5132 | − | 17.3393i | −1.34331 | − | 0.950187i | ||||
\(334\) | −1.15939 | − | 0.669376i | −0.0634391 | − | 0.0366266i | ||||
\(335\) | 0.370049 | − | 0.640945i | 0.0202180 | − | 0.0350185i | ||||
\(336\) | −21.8683 | − | 6.57046i | −1.19302 | − | 0.358448i | ||||
\(337\) | −8.16338 | −0.444688 | −0.222344 | − | 0.974968i | \(-0.571371\pi\) | ||||
−0.222344 | + | 0.974968i | \(0.571371\pi\) | |||||||
\(338\) | −10.0000 | − | 20.7162i | −0.543930 | − | 1.12681i | ||||
\(339\) | 15.8313 | + | 10.1389i | 0.859838 | + | 0.550667i | ||||
\(340\) | 8.96826 | − | 5.17782i | 0.486372 | − | 0.280807i | ||||
\(341\) | 13.4155 | 0.726491 | ||||||||
\(342\) | 8.99715 | + | 19.5374i | 0.486510 | + | 1.05646i | ||||
\(343\) | −13.7070 | − | 12.4546i | −0.740109 | − | 0.672487i | ||||
\(344\) | 5.33753 | + | 9.24487i | 0.287780 | + | 0.498450i | ||||
\(345\) | −0.898657 | + | 1.40321i | −0.0483821 | + | 0.0755461i | ||||
\(346\) | −0.631356 | + | 1.09354i | −0.0339419 | + | 0.0587891i | ||||
\(347\) | 7.87474i | 0.422738i | 0.977406 | + | 0.211369i | \(0.0677922\pi\) | ||||
−0.977406 | + | 0.211369i | \(0.932208\pi\) | |||||||
\(348\) | 0.0845255 | − | 1.83541i | 0.00453104 | − | 0.0983882i | ||||
\(349\) | 12.4452 | − | 21.5557i | 0.666175 | − | 1.15385i | −0.312791 | − | 0.949822i | \(-0.601264\pi\) |
0.978965 | − | 0.204027i | \(-0.0654029\pi\) | |||||||
\(350\) | −3.64381 | − | 12.7802i | −0.194770 | − | 0.683131i | ||||
\(351\) | −14.3462 | − | 12.0493i | −0.765746 | − | 0.643144i | ||||
\(352\) | 11.6218 | + | 20.1296i | 0.619444 | + | 1.07291i | ||||
\(353\) | −12.5215 | + | 7.22929i | −0.666452 | + | 0.384776i | −0.794731 | − | 0.606962i | \(-0.792388\pi\) |
0.128279 | + | 0.991738i | \(0.459055\pi\) | |||||||
\(354\) | −30.7344 | + | 15.9062i | −1.63351 | + | 0.845404i | ||||
\(355\) | −6.62240 | − | 3.82345i | −0.351481 | − | 0.202927i | ||||
\(356\) | − | 2.89587i | − | 0.153481i | ||||||
\(357\) | −27.3300 | − | 8.21145i | −1.44646 | − | 0.434596i | ||||
\(358\) | −1.51123 | + | 0.872510i | −0.0798711 | + | 0.0461136i | ||||
\(359\) | 6.65008 | + | 11.5183i | 0.350978 | + | 0.607912i | 0.986421 | − | 0.164236i | \(-0.0525159\pi\) |
−0.635443 | + | 0.772148i | \(0.719183\pi\) | |||||||
\(360\) | 0.623236 | − | 6.75221i | 0.0328474 | − | 0.355872i | ||||
\(361\) | 1.29106 | + | 2.23619i | 0.0679508 | + | 0.117694i | ||||
\(362\) | 19.3320i | 1.01607i | ||||||||
\(363\) | −9.31779 | − | 0.429109i | −0.489057 | − | 0.0225224i | ||||
\(364\) | 10.4790 | − | 2.57335i | 0.549250 | − | 0.134880i | ||||
\(365\) | 17.9929i | 0.941789i | ||||||||
\(366\) | 0.586365 | − | 12.7325i | 0.0306498 | − | 0.665538i | ||||
\(367\) | 29.4619 | − | 17.0098i | 1.53790 | − | 0.887905i | 0.538936 | − | 0.842347i | \(-0.318827\pi\) |
0.998962 | − | 0.0455584i | \(-0.0145067\pi\) | |||||||
\(368\) | 3.26064i | 0.169973i | ||||||||
\(369\) | −9.36064 | + | 4.31065i | −0.487295 | + | 0.224404i | ||||
\(370\) | 13.0184 | + | 22.5486i | 0.676795 | + | 1.17224i | ||||
\(371\) | 3.19079 | − | 0.909737i | 0.165658 | − | 0.0472312i | ||||
\(372\) | 6.48628 | + | 0.298711i | 0.336298 | + | 0.0154874i | ||||
\(373\) | −7.10859 | + | 12.3124i | −0.368069 | + | 0.637514i | −0.989264 | − | 0.146142i | \(-0.953314\pi\) |
0.621195 | + | 0.783656i | \(0.286648\pi\) | |||||||
\(374\) | 22.3021 | + | 38.6284i | 1.15322 | + | 1.99743i | ||||
\(375\) | 17.7269 | − | 9.17432i | 0.915412 | − | 0.473760i | ||||
\(376\) | 11.1428 | − | 6.43329i | 0.574646 | − | 0.331772i | ||||
\(377\) | −1.58138 | − | 2.98876i | −0.0814450 | − | 0.153929i | ||||
\(378\) | 19.1688 | − | 14.9781i | 0.985936 | − | 0.770389i | ||||
\(379\) | −26.6898 | − | 15.4094i | −1.37096 | − | 0.791527i | −0.379915 | − | 0.925021i | \(-0.624047\pi\) |
−0.991050 | + | 0.133494i | \(0.957380\pi\) | |||||||
\(380\) | − | 6.73811i | − | 0.345658i | ||||||
\(381\) | −23.3456 | − | 1.07513i | −1.19603 | − | 0.0550805i | ||||
\(382\) | −6.76908 | − | 3.90813i | −0.346336 | − | 0.199957i | ||||
\(383\) | 26.4916 | + | 15.2949i | 1.35366 | + | 0.781535i | 0.988760 | − | 0.149513i | \(-0.0477705\pi\) |
0.364898 | + | 0.931047i | \(0.381104\pi\) | |||||||
\(384\) | −8.86777 | − | 17.1346i | −0.452531 | − | 0.874394i | ||||
\(385\) | −15.1415 | + | 4.31706i | −0.771684 | + | 0.220018i | ||||
\(386\) | −14.2887 | + | 8.24956i | −0.727274 | + | 0.419892i | ||||
\(387\) | −20.7418 | − | 1.91449i | −1.05437 | − | 0.0973192i | ||||
\(388\) | −7.92828 | − | 13.7322i | −0.402498 | − | 0.697146i | ||||
\(389\) | −14.0905 | − | 8.13513i | −0.714415 | − | 0.412467i | 0.0982789 | − | 0.995159i | \(-0.468666\pi\) |
−0.812693 | + | 0.582691i | \(0.802000\pi\) | |||||||
\(390\) | 6.92926 | + | 14.6942i | 0.350877 | + | 0.744070i | ||||
\(391\) | 4.07500i | 0.206082i | ||||||||
\(392\) | −0.343145 | − | 10.7567i | −0.0173314 | − | 0.543296i | ||||
\(393\) | 13.0469 | − | 20.3720i | 0.658127 | − | 1.02763i | ||||
\(394\) | −4.87842 | + | 8.44968i | −0.245771 | + | 0.425689i | ||||
\(395\) | 15.3027 | + | 8.83503i | 0.769963 | + | 0.444539i | ||||
\(396\) | −13.6780 | − | 1.26249i | −0.687344 | − | 0.0634427i | ||||
\(397\) | −3.41285 | + | 5.91122i | −0.171286 | + | 0.296676i | −0.938870 | − | 0.344273i | \(-0.888126\pi\) |
0.767584 | + | 0.640949i | \(0.221459\pi\) | |||||||
\(398\) | − | 34.6224i | − | 1.73547i | ||||||
\(399\) | −13.5185 | + | 12.7289i | −0.676773 | + | 0.637242i | ||||
\(400\) | 7.07217 | − | 12.2494i | 0.353609 | − | 0.612468i | ||||
\(401\) | 11.8446 | 0.591493 | 0.295747 | − | 0.955266i | \(-0.404432\pi\) | ||||
0.295747 | + | 0.955266i | \(0.404432\pi\) | |||||||
\(402\) | 1.29928 | + | 0.832102i | 0.0648024 | + | 0.0415015i | ||||
\(403\) | 10.5622 | − | 5.58854i | 0.526141 | − | 0.278385i | ||||
\(404\) | 1.40764 | + | 2.43810i | 0.0700326 | + | 0.121300i | ||||
\(405\) | 10.0542 | + | 8.60139i | 0.499597 | + | 0.427406i | ||||
\(406\) | 4.22227 | − | 1.20383i | 0.209548 | − | 0.0597449i | ||||
\(407\) | −35.0858 | + | 20.2568i | −1.73914 | + | 1.00409i | ||||
\(408\) | −7.62200 | − | 14.7274i | −0.377345 | − | 0.729117i | ||||
\(409\) | 25.5419 | 1.26297 | 0.631483 | − | 0.775390i | \(-0.282446\pi\) | ||||
0.631483 | + | 0.775390i | \(0.282446\pi\) | |||||||
\(410\) | 8.93641 | 0.441338 | ||||||||
\(411\) | 13.8946 | + | 26.8476i | 0.685371 | + | 1.32429i | ||||
\(412\) | 5.65772 | − | 3.26649i | 0.278736 | − | 0.160928i | ||||
\(413\) | −21.4583 | − | 20.7847i | −1.05589 | − | 1.02275i | ||||
\(414\) | −2.83601 | − | 2.00604i | −0.139382 | − | 0.0985914i | ||||
\(415\) | −10.8149 | − | 18.7320i | −0.530885 | − | 0.919519i | ||||
\(416\) | 17.5354 | + | 11.0069i | 0.859744 | + | 0.539659i | ||||
\(417\) | 9.19409 | + | 5.88818i | 0.450237 | + | 0.288346i | ||||
\(418\) | 29.0226 | 1.41954 | ||||||||
\(419\) | 3.45929 | − | 5.99167i | 0.168997 | − | 0.292712i | −0.769070 | − | 0.639164i | \(-0.779280\pi\) |
0.938068 | + | 0.346452i | \(0.112614\pi\) | |||||||
\(420\) | −7.41692 | + | 1.75012i | −0.361909 | + | 0.0853969i | ||||
\(421\) | − | 20.2500i | − | 0.986922i | −0.869768 | − | 0.493461i | \(-0.835731\pi\) | ||
0.869768 | − | 0.493461i | \(-0.164269\pi\) | |||||||
\(422\) | −16.5279 | + | 28.6272i | −0.804568 | + | 1.39355i | ||||
\(423\) | −2.30753 | + | 25.0000i | −0.112196 | + | 1.21554i | ||||
\(424\) | 1.66976 | + | 0.964034i | 0.0810905 | + | 0.0468176i | ||||
\(425\) | 8.83846 | − | 15.3087i | 0.428728 | − | 0.742579i | ||||
\(426\) | 8.59749 | − | 13.4245i | 0.416550 | − | 0.650421i | ||||
\(427\) | 10.5813 | − | 3.01688i | 0.512066 | − | 0.145997i | ||||
\(428\) | 16.1727i | 0.781736i | ||||||||
\(429\) | −22.8643 | + | 10.7820i | −1.10390 | + | 0.520559i | ||||
\(430\) | 15.6428 | + | 9.03137i | 0.754362 | + | 0.435531i | ||||
\(431\) | −6.59042 | − | 11.4149i | −0.317449 | − | 0.549839i | 0.662506 | − | 0.749057i | \(-0.269493\pi\) |
−0.979955 | + | 0.199218i | \(0.936160\pi\) | |||||||
\(432\) | 25.6450 | + | 3.56324i | 1.23385 | + | 0.171436i | ||||
\(433\) | 0.0845003 | − | 0.0487863i | 0.00406083 | − | 0.00234452i | −0.497968 | − | 0.867195i | \(-0.665920\pi\) |
0.502029 | + | 0.864851i | \(0.332587\pi\) | |||||||
\(434\) | 4.25429 | + | 14.9214i | 0.204212 | + | 0.716249i | ||||
\(435\) | 1.09762 | + | 2.12084i | 0.0526266 | + | 0.101687i | ||||
\(436\) | 3.57120 | + | 2.06184i | 0.171030 | + | 0.0987440i | ||||
\(437\) | 2.29625 | + | 1.32574i | 0.109844 | + | 0.0634187i | ||||
\(438\) | −37.4703 | − | 1.72561i | −1.79040 | − | 0.0824528i | ||||
\(439\) | − | 33.9619i | − | 1.62092i | −0.585797 | − | 0.810458i | \(-0.699219\pi\) | ||
0.585797 | − | 0.810458i | \(-0.300781\pi\) | |||||||
\(440\) | −7.92364 | − | 4.57472i | −0.377745 | − | 0.218091i | ||||
\(441\) | 17.5224 | + | 11.5743i | 0.834402 | + | 0.551156i | ||||
\(442\) | 33.6503 | + | 21.1222i | 1.60058 | + | 1.00468i | ||||
\(443\) | 18.4704 | − | 10.6639i | 0.877553 | − | 0.506655i | 0.00770209 | − | 0.999970i | \(-0.497548\pi\) |
0.869851 | + | 0.493315i | \(0.164215\pi\) | |||||||
\(444\) | −17.4147 | + | 9.01274i | −0.826464 | + | 0.427726i | ||||
\(445\) | 1.88191 | + | 3.25956i | 0.0892109 | + | 0.154518i | ||||
\(446\) | 7.59669 | − | 13.1579i | 0.359714 | − | 0.623043i | ||||
\(447\) | 35.7898 | + | 1.64822i | 1.69280 | + | 0.0779579i | ||||
\(448\) | −0.359276 | + | 0.370920i | −0.0169742 | + | 0.0175243i | ||||
\(449\) | 8.07975 | + | 13.9945i | 0.381307 | + | 0.660443i | 0.991249 | − | 0.132003i | \(-0.0421408\pi\) |
−0.609943 | + | 0.792446i | \(0.708807\pi\) | |||||||
\(450\) | 6.30312 | + | 13.6873i | 0.297132 | + | 0.645226i | ||||
\(451\) | 13.9051i | 0.654767i | ||||||||
\(452\) | 10.6325 | − | 6.13867i | 0.500110 | − | 0.288739i | ||||
\(453\) | 0.819478 | − | 17.7944i | 0.0385024 | − | 0.836052i | ||||
\(454\) | 7.38233i | 0.346470i | ||||||||
\(455\) | −10.1227 | + | 9.70642i | −0.474561 | + | 0.455044i | ||||
\(456\) | −10.7786 | − | 0.496382i | −0.504753 | − | 0.0232452i | ||||
\(457\) | − | 31.5656i | − | 1.47657i | −0.674487 | − | 0.738287i | \(-0.735635\pi\) | ||
0.674487 | − | 0.738287i | \(-0.264365\pi\) | |||||||
\(458\) | −3.82675 | − | 6.62813i | −0.178812 | − | 0.309712i | ||||
\(459\) | 32.0499 | + | 4.45316i | 1.49596 | + | 0.207856i | ||||
\(460\) | 0.544101 | + | 0.942410i | 0.0253688 | + | 0.0439401i | ||||
\(461\) | −17.0721 | + | 9.85656i | −0.795126 | + | 0.459066i | −0.841764 | − | 0.539846i | \(-0.818483\pi\) |
0.0466383 | + | 0.998912i | \(0.485149\pi\) | |||||||
\(462\) | −7.53817 | − | 31.9464i | −0.350707 | − | 1.48628i | ||||
\(463\) | 21.7217i | 1.00949i | 0.863267 | + | 0.504747i | \(0.168414\pi\) | ||||
−0.863267 | + | 0.504747i | \(0.831586\pi\) | |||||||
\(464\) | 4.04689 | + | 2.33647i | 0.187872 | + | 0.108468i | ||||
\(465\) | −7.49500 | + | 3.87894i | −0.347573 | + | 0.179882i | ||||
\(466\) | −7.64425 | + | 4.41341i | −0.354113 | + | 0.204447i | ||||
\(467\) | −13.4911 | − | 23.3673i | −0.624294 | − | 1.08131i | −0.988677 | − | 0.150059i | \(-0.952053\pi\) |
0.364383 | − | 0.931249i | \(-0.381280\pi\) | |||||||
\(468\) | −11.2948 | + | 4.70390i | −0.522100 | + | 0.217438i | ||||
\(469\) | −0.324167 | + | 1.29186i | −0.0149686 | + | 0.0596525i | ||||
\(470\) | 10.8855 | − | 18.8542i | 0.502109 | − | 0.869678i | ||||
\(471\) | 0.300244 | − | 6.51959i | 0.0138345 | − | 0.300407i | ||||
\(472\) | − | 17.3599i | − | 0.799056i | ||||||
\(473\) | −14.0529 | + | 24.3403i | −0.646153 | + | 1.11917i | ||||
\(474\) | −19.8667 | + | 31.0208i | −0.912506 | + | 1.42483i | ||||
\(475\) | −5.75092 | − | 9.96089i | −0.263870 | − | 0.457037i | ||||
\(476\) | −12.9661 | + | 13.3864i | −0.594302 | + | 0.613563i | ||||
\(477\) | −3.41726 | + | 1.57368i | −0.156466 | + | 0.0720537i | ||||
\(478\) | −27.4017 | −1.25332 | ||||||||
\(479\) | −34.3514 | + | 19.8328i | −1.56956 | + | 0.906185i | −0.573338 | + | 0.819319i | \(0.694352\pi\) |
−0.996220 | + | 0.0868655i | \(0.972315\pi\) | |||||||
\(480\) | −12.3131 | − | 7.88571i | −0.562015 | − | 0.359932i | ||||
\(481\) | −19.1850 | + | 30.5642i | −0.874762 | + | 1.39361i | ||||
\(482\) | 25.2976 | 1.15227 | ||||||||
\(483\) | 0.862883 | − | 2.87192i | 0.0392625 | − | 0.130677i | ||||
\(484\) | −3.04577 | + | 5.27543i | −0.138444 | + | 0.239792i | ||||
\(485\) | 17.8480 | + | 10.3045i | 0.810434 | + | 0.467905i | ||||
\(486\) | −18.8767 | + | 20.1131i | −0.856266 | + | 0.912347i | ||||
\(487\) | 15.3235i | 0.694376i | 0.937796 | + | 0.347188i | \(0.112863\pi\) | ||||
−0.937796 | + | 0.347188i | \(0.887137\pi\) | |||||||
\(488\) | 5.53726 | + | 3.19694i | 0.250660 | + | 0.144719i | ||||
\(489\) | −0.772920 | + | 16.7834i | −0.0349527 | + | 0.758971i | ||||
\(490\) | −9.60327 | − | 15.4721i | −0.433832 | − | 0.698959i | ||||
\(491\) | −34.7344 | − | 20.0539i | −1.56754 | − | 0.905021i | −0.996455 | − | 0.0841315i | \(-0.973188\pi\) |
−0.571087 | − | 0.820889i | \(-0.693478\pi\) | |||||||
\(492\) | −0.309613 | + | 6.72301i | −0.0139584 | + | 0.303097i | ||||
\(493\) | 5.05761 | + | 2.92001i | 0.227783 | + | 0.131511i | ||||
\(494\) | 22.8499 | − | 12.0900i | 1.02806 | − | 0.543957i | ||||
\(495\) | 16.2162 | − | 7.46771i | 0.728865 | − | 0.335649i | ||||
\(496\) | −8.25703 | + | 14.3016i | −0.370751 | + | 0.642160i | ||||
\(497\) | 13.3478 | + | 3.34938i | 0.598731 | + | 0.150240i | ||||
\(498\) | 40.0469 | − | 20.7257i | 1.79454 | − | 0.928742i | ||||
\(499\) | −37.5327 | + | 21.6695i | −1.68019 | + | 0.970061i | −0.718667 | + | 0.695355i | \(0.755247\pi\) |
−0.961528 | + | 0.274706i | \(0.911419\pi\) | |||||||
\(500\) | − | 13.0353i | − | 0.582955i | ||||||
\(501\) | −0.0602843 | + | 1.30903i | −0.00269330 | + | 0.0584831i | ||||
\(502\) | 3.92327 | + | 6.79530i | 0.175104 | + | 0.303289i | ||||
\(503\) | 4.38781 | + | 7.59991i | 0.195643 | + | 0.338863i | 0.947111 | − | 0.320906i | \(-0.103987\pi\) |
−0.751468 | + | 0.659769i | \(0.770654\pi\) | |||||||
\(504\) | 2.25317 | + | 11.9933i | 0.100364 | + | 0.534226i | ||||
\(505\) | −3.16884 | − | 1.82953i | −0.141012 | − | 0.0814130i | ||||
\(506\) | −4.05919 | + | 2.34357i | −0.180453 | + | 0.104185i | ||||
\(507\) | −13.5099 | + | 18.0134i | −0.599994 | + | 0.800005i | ||||
\(508\) | −7.63115 | + | 13.2175i | −0.338578 | + | 0.586434i | ||||
\(509\) | 0.918134i | 0.0406956i | 0.999793 | + | 0.0203478i | \(0.00647735\pi\) | ||||
−0.999793 | + | 0.0203478i | \(0.993523\pi\) | |||||||
\(510\) | −23.6287 | − | 15.1326i | −1.04630 | − | 0.670082i | ||||
\(511\) | −8.87834 | − | 31.1397i | −0.392755 | − | 1.37754i | ||||
\(512\) | −13.2904 | −0.587360 | ||||||||
\(513\) | 12.9363 | − | 16.6113i | 0.571152 | − | 0.733406i | ||||
\(514\) | 4.98446 | 0.219855 | ||||||||
\(515\) | −4.24551 | + | 7.35344i | −0.187080 | + | 0.324031i | ||||
\(516\) | −7.33641 | + | 11.4554i | −0.322967 | + | 0.504297i | ||||
\(517\) | 29.3373 | + | 16.9379i | 1.29025 | + | 0.744927i | ||||
\(518\) | −33.6568 | − | 32.6003i | −1.47880 | − | 1.43237i | ||||
\(519\) | 1.23468 | + | 0.0568602i | 0.0541963 | + | 0.00249589i | ||||
\(520\) | −8.14408 | − | 0.300957i | −0.357141 | − | 0.0131978i | ||||
\(521\) | −2.42918 | + | 4.20746i | −0.106424 | + | 0.184332i | −0.914319 | − | 0.404994i | \(-0.867274\pi\) |
0.807895 | + | 0.589327i | \(0.200607\pi\) | |||||||
\(522\) | −4.52195 | + | 2.08240i | −0.197920 | + | 0.0911440i | ||||
\(523\) | 29.0461i | 1.27010i | 0.772472 | + | 0.635048i | \(0.219020\pi\) | ||||
−0.772472 | + | 0.635048i | \(0.780980\pi\) | |||||||
\(524\) | −7.89935 | − | 13.6821i | −0.345085 | − | 0.597704i | ||||
\(525\) | −9.47066 | + | 8.91746i | −0.413333 | + | 0.389190i | ||||
\(526\) | 42.4723 | − | 24.5214i | 1.85188 | − | 1.06918i | ||||
\(527\) | −10.3192 | + | 17.8734i | −0.449513 | + | 0.778579i | ||||
\(528\) | 18.8409 | − | 29.4191i | 0.819944 | − | 1.28030i | ||||
\(529\) | 22.5718 | 0.981382 | ||||||||
\(530\) | 3.26239 | 0.141709 | ||||||||
\(531\) | 27.6549 | + | 19.5616i | 1.20012 | + | 0.848901i | ||||
\(532\) | 3.32483 | + | 11.6614i | 0.144150 | + | 0.505587i | ||||
\(533\) | 5.79250 | + | 10.9477i | 0.250901 | + | 0.474197i | ||||
\(534\) | −6.96855 | + | 3.60648i | −0.301559 | + | 0.156068i | ||||
\(535\) | −10.5100 | − | 18.2038i | −0.454385 | − | 0.787018i | ||||
\(536\) | −0.670283 | + | 0.386988i | −0.0289518 | + | 0.0167153i | ||||
\(537\) | 1.43839 | + | 0.921191i | 0.0620712 | + | 0.0397523i | ||||
\(538\) | 10.2392 | 0.441445 | ||||||||
\(539\) | 24.0748 | − | 14.9428i | 1.03697 | − | 0.643631i | ||||
\(540\) | 8.00667 | − | 3.24950i | 0.344552 | − | 0.139836i | ||||
\(541\) | 30.9836 | − | 17.8884i | 1.33209 | − | 0.769081i | 0.346469 | − | 0.938062i | \(-0.387381\pi\) |
0.985619 | + | 0.168980i | \(0.0540473\pi\) | |||||||
\(542\) | 23.0180 | 0.988706 | ||||||||
\(543\) | 16.8056 | − | 8.69750i | 0.721195 | − | 0.373245i | ||||
\(544\) | −35.7580 | −1.53311 | ||||||||
\(545\) | −5.35961 | −0.229580 | ||||||||
\(546\) | −19.2429 | − | 22.0116i | −0.823520 | − | 0.942010i | ||||
\(547\) | −15.8453 | −0.677495 | −0.338747 | − | 0.940877i | \(-0.610003\pi\) | ||||
−0.338747 | + | 0.940877i | \(0.610003\pi\) | |||||||
\(548\) | 19.7421 | 0.843340 | ||||||||
\(549\) | −11.3323 | + | 5.21864i | −0.483652 | + | 0.222726i | ||||
\(550\) | 20.3324 | 0.866975 | ||||||||
\(551\) | 3.29083 | − | 1.89996i | 0.140194 | − | 0.0809411i | ||||
\(552\) | 1.54760 | − | 0.800942i | 0.0658704 | − | 0.0340904i | ||||
\(553\) | −30.8434 | − | 7.73957i | −1.31160 | − | 0.329120i | ||||
\(554\) | −22.5771 | −0.959209 | ||||||||
\(555\) | 13.7448 | − | 21.4617i | 0.583432 | − | 0.911000i | ||||
\(556\) | 6.17486 | − | 3.56506i | 0.261872 | − | 0.151192i | ||||
\(557\) | 11.1091 | + | 19.2414i | 0.470706 | + | 0.815286i | 0.999439 | − | 0.0335020i | \(-0.0106660\pi\) |
−0.528733 | + | 0.848788i | \(0.677333\pi\) | |||||||
\(558\) | −7.35913 | − | 15.9804i | −0.311537 | − | 0.676506i | ||||
\(559\) | −0.924497 | + | 25.0175i | −0.0391021 | + | 1.05813i | ||||
\(560\) | 4.71717 | − | 18.7987i | 0.199337 | − | 0.794389i | ||||
\(561\) | 23.5464 | − | 36.7666i | 0.994132 | − | 1.55229i | ||||
\(562\) | −6.84923 | −0.288917 | ||||||||
\(563\) | 19.3664 | 0.816195 | 0.408098 | − | 0.912938i | \(-0.366192\pi\) | ||||
0.408098 | + | 0.912938i | \(0.366192\pi\) | |||||||
\(564\) | 13.8072 | + | 8.84253i | 0.581386 | + | 0.372338i | ||||
\(565\) | −7.97853 | + | 13.8192i | −0.335659 | + | 0.581379i | ||||
\(566\) | 26.5746 | − | 15.3429i | 1.11701 | − | 0.644908i | ||||
\(567\) | −21.6447 | − | 9.92503i | −0.908993 | − | 0.416812i | ||||
\(568\) | 3.99846 | + | 6.92554i | 0.167772 | + | 0.290589i | ||||
\(569\) | − | 45.1423i | − | 1.89246i | −0.323492 | − | 0.946231i | \(-0.604857\pi\) | ||
0.323492 | − | 0.946231i | \(-0.395143\pi\) | |||||||
\(570\) | −16.2144 | + | 8.39156i | −0.679147 | + | 0.351484i | ||||
\(571\) | −21.2583 | + | 36.8205i | −0.889634 | + | 1.54089i | −0.0493249 | + | 0.998783i | \(0.515707\pi\) |
−0.840309 | + | 0.542108i | \(0.817626\pi\) | |||||||
\(572\) | −0.609650 | + | 16.4975i | −0.0254907 | + | 0.689795i | ||||
\(573\) | −0.351968 | + | 7.64273i | −0.0147037 | + | 0.319280i | ||||
\(574\) | −15.4660 | + | 4.40955i | −0.645537 | + | 0.184051i | ||||
\(575\) | 1.60868 | + | 0.928771i | 0.0670866 | + | 0.0387324i | ||||
\(576\) | 0.338134 | − | 0.478032i | 0.0140889 | − | 0.0199180i | ||||
\(577\) | 8.00365 | − | 13.8627i | 0.333196 | − | 0.577113i | −0.649940 | − | 0.759985i | \(-0.725206\pi\) |
0.983137 | + | 0.182872i | \(0.0585395\pi\) | |||||||
\(578\) | −38.5378 | −1.60296 | ||||||||
\(579\) | 13.6000 | + | 8.70984i | 0.565195 | + | 0.361968i | ||||
\(580\) | 1.55954 | 0.0647564 | ||||||||
\(581\) | 27.9601 | + | 27.0824i | 1.15998 | + | 1.12357i | ||||
\(582\) | −23.1710 | + | 36.1803i | −0.960469 | + | 1.49972i | ||||
\(583\) | 5.07631i | 0.210239i | ||||||||
\(584\) | 9.40823 | − | 16.2955i | 0.389315 | − | 0.674314i | ||||
\(585\) | 9.65638 | − | 12.6346i | 0.399242 | − | 0.522378i | ||||
\(586\) | −3.64637 | + | 2.10523i | −0.150630 | + | 0.0869662i | ||||
\(587\) | 0.541925 | + | 0.312880i | 0.0223676 | + | 0.0129140i | 0.511142 | − | 0.859496i | \(-0.329223\pi\) |
−0.488774 | + | 0.872410i | \(0.662556\pi\) | |||||||
\(588\) | 11.9726 | − | 6.68865i | 0.493744 | − | 0.275835i | ||||
\(589\) | 6.71442 | + | 11.6297i | 0.276663 | + | 0.479194i | ||||
\(590\) | −14.6869 | − | 25.4385i | −0.604652 | − | 1.04729i | ||||
\(591\) | 9.54024 | + | 0.439353i | 0.392433 | + | 0.0180726i | ||||
\(592\) | − | 49.8708i | − | 2.04968i | ||||||
\(593\) | −38.7786 | + | 22.3888i | −1.59244 | + | 0.919398i | −0.599558 | + | 0.800331i | \(0.704657\pi\) |
−0.992886 | + | 0.119067i | \(0.962010\pi\) | |||||||
\(594\) | 13.9964 | + | 34.4866i | 0.574278 | + | 1.41500i | ||||
\(595\) | 5.89529 | − | 23.4937i | 0.241683 | − | 0.963147i | ||||
\(596\) | 11.6989 | − | 20.2630i | 0.479204 | − | 0.830006i | ||||
\(597\) | −30.0978 | + | 15.5767i | −1.23182 | + | 0.637512i | ||||
\(598\) | −2.21958 | + | 3.53607i | −0.0907653 | + | 0.144601i | ||||
\(599\) | −24.3795 | − | 14.0755i | −0.996119 | − | 0.575110i | −0.0890214 | − | 0.996030i | \(-0.528374\pi\) |
−0.907098 | + | 0.420920i | \(0.861707\pi\) | |||||||
\(600\) | −7.55113 | − | 0.347750i | −0.308274 | − | 0.0141968i | ||||
\(601\) | −16.2551 | − | 9.38487i | −0.663058 | − | 0.382817i | 0.130383 | − | 0.991464i | \(-0.458379\pi\) |
−0.793441 | + | 0.608647i | \(0.791713\pi\) | |||||||
\(602\) | −31.5289 | − | 7.91157i | −1.28502 | − | 0.322451i | ||||
\(603\) | 0.138807 | − | 1.50385i | 0.00565266 | − | 0.0612415i | ||||
\(604\) | −10.0746 | − | 5.81657i | −0.409930 | − | 0.236673i | ||||
\(605\) | − | 7.91729i | − | 0.321884i | ||||||
\(606\) | 4.11393 | − | 6.42368i | 0.167117 | − | 0.260944i | ||||
\(607\) | 13.0101 | + | 7.51137i | 0.528063 | + | 0.304877i | 0.740227 | − | 0.672357i | \(-0.234718\pi\) |
−0.212164 | + | 0.977234i | \(0.568051\pi\) | |||||||
\(608\) | −11.6333 | + | 20.1495i | −0.471794 | + | 0.817172i | ||||
\(609\) | −2.94611 | − | 3.12887i | −0.119382 | − | 0.126788i | ||||
\(610\) | 10.8188 | 0.438039 | ||||||||
\(611\) | 30.1534 | + | 1.11429i | 1.21988 | + | 0.0450794i | ||||
\(612\) | 12.2031 | − | 17.2520i | 0.493283 | − | 0.697371i | ||||
\(613\) | 21.5988 | − | 12.4701i | 0.872367 | − | 0.503661i | 0.00423279 | − | 0.999991i | \(-0.498653\pi\) |
0.868134 | + | 0.496330i | \(0.165319\pi\) | |||||||
\(614\) | −9.11674 | −0.367922 | ||||||||
\(615\) | −4.02051 | − | 7.76854i | −0.162123 | − | 0.313258i | ||||
\(616\) | 15.9705 | + | 4.00750i | 0.643471 | + | 0.161467i | ||||
\(617\) | 1.66926 | + | 2.89124i | 0.0672018 | + | 0.116397i | 0.897669 | − | 0.440671i | \(-0.145260\pi\) |
−0.830467 | + | 0.557068i | \(0.811926\pi\) | |||||||
\(618\) | −14.9065 | − | 9.54656i | −0.599626 | − | 0.384019i | ||||
\(619\) | −2.61184 | + | 4.52383i | −0.104979 | + | 0.181828i | −0.913729 | − | 0.406323i | \(-0.866811\pi\) |
0.808751 | + | 0.588151i | \(0.200144\pi\) | |||||||
\(620\) | 5.51137i | 0.221342i | ||||||||
\(621\) | −0.467951 | + | 3.36790i | −0.0187782 | + | 0.135149i | ||||
\(622\) | −0.0975199 | + | 0.168909i | −0.00391019 | + | 0.00677265i | ||||
\(623\) | −4.86534 | − | 4.71261i | −0.194926 | − | 0.188807i | ||||
\(624\) | 2.57848 | − | 31.0106i | 0.103222 | − | 1.24142i | ||||
\(625\) | 1.37450 | + | 2.38071i | 0.0549801 | + | 0.0952284i | ||||
\(626\) | 10.3543 | − | 5.97804i | 0.413840 | − | 0.238931i | ||||
\(627\) | −13.0574 | − | 25.2298i | −0.521460 | − | 1.00758i | ||||
\(628\) | −3.69118 | − | 2.13111i | −0.147294 | − | 0.0850404i | ||||
\(629\) | − | 62.3262i | − | 2.48511i | ||||||
\(630\) | 13.4484 | + | 15.6683i | 0.535796 | + | 0.624241i | ||||
\(631\) | 22.4114 | − | 12.9392i | 0.892183 | − | 0.515102i | 0.0175274 | − | 0.999846i | \(-0.494421\pi\) |
0.874656 | + | 0.484744i | \(0.161087\pi\) | |||||||
\(632\) | −9.23944 | − | 16.0032i | −0.367525 | − | 0.636573i | ||||
\(633\) | 32.3220 | + | 1.48851i | 1.28468 | + | 0.0591632i | ||||
\(634\) | −5.64839 | − | 9.78330i | −0.224326 | − | 0.388544i | ||||
\(635\) | − | 19.8367i | − | 0.787195i | ||||||
\(636\) | −0.113029 | + | 2.45435i | −0.00448190 | + | 0.0973212i | ||||
\(637\) | 12.7296 | − | 21.7935i | 0.504365 | − | 0.863491i | ||||
\(638\) | 6.71731i | 0.265941i | ||||||||
\(639\) | −15.5382 | − | 1.43419i | −0.614680 | − | 0.0567357i | ||||
\(640\) | 14.1821 | − | 8.18803i | 0.560596 | − | 0.323660i | ||||
\(641\) | 43.9834i | 1.73724i | 0.495478 | + | 0.868620i | \(0.334993\pi\) | ||||
−0.495478 | + | 0.868620i | \(0.665007\pi\) | |||||||
\(642\) | 38.9175 | − | 20.1413i | 1.53595 | − | 0.794912i | ||||
\(643\) | −21.4046 | − | 37.0739i | −0.844116 | − | 1.46205i | −0.886386 | − | 0.462946i | \(-0.846792\pi\) |
0.0422698 | − | 0.999106i | \(-0.486541\pi\) | |||||||
\(644\) | −1.40668 | − | 1.36252i | −0.0554309 | − | 0.0536908i | ||||
\(645\) | 0.813370 | − | 17.6617i | 0.0320264 | − | 0.695430i | ||||
\(646\) | −22.3243 | + | 38.6668i | −0.878336 | + | 1.52132i | ||||
\(647\) | −11.4329 | − | 19.8024i | −0.449475 | − | 0.778514i | 0.548877 | − | 0.835903i | \(-0.315056\pi\) |
−0.998352 | + | 0.0573895i | \(0.981722\pi\) | |||||||
\(648\) | −4.60820 | − | 13.0472i | −0.181027 | − | 0.512542i | ||||
\(649\) | 39.5826 | − | 22.8530i | 1.55375 | − | 0.897060i | ||||
\(650\) | 16.0079 | − | 8.46990i | 0.627882 | − | 0.332217i | ||||
\(651\) | 11.0573 | − | 10.4115i | 0.433372 | − | 0.408058i | ||||
\(652\) | 9.50222 | + | 5.48611i | 0.372136 | + | 0.214853i | ||||
\(653\) | 26.5794i | 1.04013i | 0.854126 | + | 0.520066i | \(0.174093\pi\) | ||||
−0.854126 | + | 0.520066i | \(0.825907\pi\) | |||||||
\(654\) | 0.514014 | − | 11.1614i | 0.0200995 | − | 0.436447i | ||||
\(655\) | 17.7828 | + | 10.2669i | 0.694833 | + | 0.401162i | ||||
\(656\) | −14.8235 | − | 8.55838i | −0.578762 | − | 0.334149i | ||||
\(657\) | 15.3579 | + | 33.3498i | 0.599168 | + | 1.30110i | ||||
\(658\) | −9.53577 | + | 38.0016i | −0.371743 | + | 1.48146i | ||||
\(659\) | −13.8783 | + | 8.01265i | −0.540622 | + | 0.312129i | −0.745331 | − | 0.666694i | \(-0.767709\pi\) |
0.204709 | + | 0.978823i | \(0.434375\pi\) | |||||||
\(660\) | 0.536368 | − | 11.6468i | 0.0208781 | − | 0.453352i | ||||
\(661\) | 17.8281 | + | 30.8792i | 0.693433 | + | 1.20106i | 0.970706 | + | 0.240270i | \(0.0772359\pi\) |
−0.277273 | + | 0.960791i | \(0.589431\pi\) | |||||||
\(662\) | −19.2648 | − | 11.1225i | −0.748747 | − | 0.432289i | ||||
\(663\) | 3.22246 | − | 38.7555i | 0.125150 | − | 1.50514i | ||||
\(664\) | 22.6200i | 0.877825i | ||||||||
\(665\) | −11.3207 | − | 10.9653i | −0.438997 | − | 0.425216i | ||||
\(666\) | 43.3761 | + | 30.6819i | 1.68079 | + | 1.18890i | ||||
\(667\) | −0.306843 | + | 0.531468i | −0.0118810 | + | 0.0205785i | ||||
\(668\) | 0.741131 | + | 0.427892i | 0.0286752 | + | 0.0165556i | ||||
\(669\) | −14.8561 | − | 0.684162i | −0.574369 | − | 0.0264512i | ||||
\(670\) | −0.654803 | + | 1.13415i | −0.0252973 | + | 0.0438161i | ||||
\(671\) | 16.8341i | 0.649872i | ||||||||
\(672\) | 25.2010 | + | 7.57179i | 0.972150 | + | 0.292088i | ||||
\(673\) | −13.1015 | + | 22.6924i | −0.505025 | + | 0.874729i | 0.494958 | + | 0.868917i | \(0.335183\pi\) |
−0.999983 | + | 0.00581216i | \(0.998150\pi\) | |||||||
\(674\) | 14.4451 | 0.556405 | ||||||||
\(675\) | 9.06277 | − | 11.6373i | 0.348826 | − | 0.447921i | ||||
\(676\) | 6.39242 | + | 13.2426i | 0.245862 | + | 0.509332i | ||||
\(677\) | 16.3605 | + | 28.3372i | 0.628785 | + | 1.08909i | 0.987796 | + | 0.155754i | \(0.0497809\pi\) |
−0.359011 | + | 0.933333i | \(0.616886\pi\) | |||||||
\(678\) | −28.0135 | − | 17.9407i | −1.07585 | − | 0.689009i | ||||
\(679\) | −35.9735 | − | 9.02687i | −1.38054 | − | 0.346419i | ||||
\(680\) | 12.1898 | − | 7.03776i | 0.467456 | − | 0.269886i | ||||
\(681\) | 6.41756 | − | 3.32133i | 0.245922 | − | 0.127274i | ||||
\(682\) | −23.7388 | −0.909005 | ||||||||
\(683\) | 1.68089 | 0.0643174 | 0.0321587 | − | 0.999483i | \(-0.489762\pi\) | ||||
0.0321587 | + | 0.999483i | \(0.489762\pi\) | |||||||
\(684\) | −5.75134 | − | 12.4891i | −0.219908 | − | 0.477533i | ||||
\(685\) | −22.2215 | + | 12.8296i | −0.849038 | + | 0.490192i | ||||
\(686\) | 24.2546 | + | 22.0385i | 0.926045 | + | 0.841433i | ||||
\(687\) | −4.04026 | + | 6.30866i | −0.154146 | + | 0.240690i | ||||
\(688\) | −17.2986 | − | 29.9621i | −0.659504 | − | 1.14230i | ||||
\(689\) | 2.11465 | + | 3.99664i | 0.0805617 | + | 0.152260i | ||||
\(690\) | 1.59018 | − | 2.48298i | 0.0605370 | − | 0.0945253i | ||||
\(691\) | 23.4005 | 0.890198 | 0.445099 | − | 0.895481i | \(-0.353169\pi\) | ||||
0.445099 | + | 0.895481i | \(0.353169\pi\) | |||||||
\(692\) | 0.403588 | − | 0.699035i | 0.0153421 | − | 0.0265733i | ||||
\(693\) | −24.3800 | + | 20.9258i | −0.926121 | + | 0.794906i | ||||
\(694\) | − | 13.9344i | − | 0.528941i | ||||||
\(695\) | −4.63357 | + | 8.02557i | −0.175761 | + | 0.304427i | ||||
\(696\) | 0.114888 | − | 2.49471i | 0.00435482 | − | 0.0945616i | ||||
\(697\) | −18.5258 | − | 10.6959i | −0.701713 | − | 0.405134i | ||||
\(698\) | −22.0218 | + | 38.1428i | −0.833536 | + | 1.44373i | ||||
\(699\) | 7.27580 | + | 4.65965i | 0.275196 | + | 0.176244i | ||||
\(700\) | 2.32927 | + | 8.16963i | 0.0880382 | + | 0.308783i | ||||
\(701\) | 48.2236i | 1.82138i | 0.413090 | + | 0.910690i | \(0.364450\pi\) | ||||
−0.413090 | + | 0.910690i | \(0.635550\pi\) | |||||||
\(702\) | 25.3857 | + | 21.3212i | 0.958121 | + | 0.804719i | ||||
\(703\) | −35.1206 | − | 20.2769i | −1.32460 | − | 0.764757i | ||||
\(704\) | −0.395028 | − | 0.684208i | −0.0148882 | − | 0.0257871i | ||||
\(705\) | −21.2876 | − | 0.980350i | −0.801736 | − | 0.0369221i | ||||
\(706\) | 22.1568 | − | 12.7922i | 0.833883 | − | 0.481443i | ||||
\(707\) | 6.38697 | + | 1.60269i | 0.240207 | + | 0.0602752i | ||||
\(708\) | 19.6467 | − | 10.1679i | 0.738367 | − | 0.382132i | ||||
\(709\) | 10.0463 | + | 5.80021i | 0.377295 | + | 0.217831i | 0.676641 | − | 0.736313i | \(-0.263435\pi\) |
−0.299346 | + | 0.954145i | \(0.596768\pi\) | |||||||
\(710\) | 11.7184 | + | 6.76560i | 0.439782 | + | 0.253908i | ||||
\(711\) | 35.9048 | + | 3.31405i | 1.34654 | + | 0.124287i | ||||
\(712\) | − | 3.93610i | − | 0.147512i | ||||||
\(713\) | −1.87819 | − | 1.08438i | −0.0703389 | − | 0.0406102i | ||||
\(714\) | 48.3605 | + | 14.5302i | 1.80985 | + | 0.543778i | ||||
\(715\) | −10.0348 | − | 18.9656i | −0.375282 | − | 0.709273i | ||||
\(716\) | 0.966041 | − | 0.557744i | 0.0361026 | − | 0.0208439i | ||||
\(717\) | 12.3281 | + | 23.8207i | 0.460400 | + | 0.889599i | ||||
\(718\) | −11.7673 | − | 20.3816i | −0.439153 | − | 0.760635i | ||||
\(719\) | 2.66743 | − | 4.62012i | 0.0994782 | − | 0.172301i | −0.811991 | − | 0.583671i | \(-0.801616\pi\) |
0.911469 | + | 0.411369i | \(0.134949\pi\) | |||||||
\(720\) | −2.01987 | + | 21.8835i | −0.0752762 | + | 0.815551i | ||||
\(721\) | 3.71911 | − | 14.8213i | 0.138507 | − | 0.551972i | ||||
\(722\) | −2.28454 | − | 3.95694i | −0.0850218 | − | 0.147262i | ||||
\(723\) | −11.3814 | − | 21.9916i | −0.423280 | − | 0.817875i | ||||
\(724\) | − | 12.3578i | − | 0.459273i | ||||||
\(725\) | 2.30545 | − | 1.33105i | 0.0856224 | − | 0.0494341i | ||||
\(726\) | 16.4878 | + | 0.759309i | 0.611921 | + | 0.0281806i | ||||
\(727\) | 20.1065i | 0.745707i | 0.927890 | + | 0.372854i | \(0.121621\pi\) | ||||
−0.927890 | + | 0.372854i | \(0.878379\pi\) | |||||||
\(728\) | 14.2432 | − | 3.49773i | 0.527888 | − | 0.129635i | ||||
\(729\) | 25.9772 | + | 7.36089i | 0.962120 | + | 0.272626i | ||||
\(730\) | − | 31.8384i | − | 1.17839i | ||||||
\(731\) | −21.6190 | − | 37.4452i | −0.799608 | − | 1.38496i | ||||
\(732\) | −0.374829 | + | 8.13912i | −0.0138541 | + | 0.300831i | ||||
\(733\) | −14.4074 | − | 24.9544i | −0.532151 | − | 0.921712i | −0.999295 | − | 0.0375313i | \(-0.988051\pi\) |
0.467145 | − | 0.884181i | \(-0.345283\pi\) | |||||||
\(734\) | −52.1328 | + | 30.0989i | −1.92426 | + | 1.11097i | ||||
\(735\) | −9.12960 | + | 15.3092i | −0.336750 | + | 0.564688i | ||||
\(736\) | − | 3.75756i | − | 0.138505i | ||||||
\(737\) | −1.76475 | − | 1.01888i | −0.0650055 | − | 0.0375309i | ||||
\(738\) | 16.5637 | − | 7.62771i | 0.609717 | − | 0.280780i | ||||
\(739\) | −27.8758 | + | 16.0941i | −1.02543 | + | 0.592031i | −0.915672 | − | 0.401927i | \(-0.868341\pi\) |
−0.109757 | + | 0.993958i | \(0.535007\pi\) | |||||||
\(740\) | −8.32190 | − | 14.4139i | −0.305919 | − | 0.529867i | ||||
\(741\) | −20.7902 | − | 14.4244i | −0.763749 | − | 0.529893i | ||||
\(742\) | −5.64611 | + | 1.60978i | −0.207275 | + | 0.0590970i | ||||
\(743\) | −16.4270 | + | 28.4524i | −0.602649 | + | 1.04382i | 0.389770 | + | 0.920912i | \(0.372555\pi\) |
−0.992418 | + | 0.122906i | \(0.960779\pi\) | |||||||
\(744\) | 8.81623 | + | 0.406011i | 0.323219 | + | 0.0148851i | ||||
\(745\) | 30.4104i | 1.11415i | ||||||||
\(746\) | 12.5787 | − | 21.7869i | 0.460538 | − | 0.797675i | ||||
\(747\) | −36.0343 | − | 25.4887i | −1.31843 | − | 0.932584i | ||||
\(748\) | −14.2564 | − | 24.6928i | −0.521266 | − | 0.902860i | ||||
\(749\) | 27.1716 | + | 26.3187i | 0.992830 | + | 0.961664i | ||||
\(750\) | −31.3677 | + | 16.2340i | −1.14539 | + | 0.592781i | ||||
\(751\) | 19.9608 | 0.728379 | 0.364190 | − | 0.931325i | \(-0.381346\pi\) | ||||
0.364190 | + | 0.931325i | \(0.381346\pi\) | |||||||
\(752\) | −36.1132 | + | 20.8499i | −1.31691 | + | 0.760319i | ||||
\(753\) | 4.14216 | − | 6.46777i | 0.150949 | − | 0.235699i | ||||
\(754\) | 2.79825 | + | 5.28862i | 0.101906 | + | 0.192600i | ||||
\(755\) | 15.1198 | 0.550266 | ||||||||
\(756\) | −12.2535 | + | 9.57459i | −0.445654 | + | 0.348224i | ||||
\(757\) | −17.0915 | + | 29.6033i | −0.621200 | + | 1.07595i | 0.368063 | + | 0.929801i | \(0.380021\pi\) |
−0.989263 | + | 0.146148i | \(0.953312\pi\) | |||||||
\(758\) | 47.2277 | + | 27.2669i | 1.71539 | + | 0.990380i | ||||
\(759\) | 3.86354 | + | 2.47433i | 0.140237 | + | 0.0898124i | ||||
\(760\) | − | 9.15851i | − | 0.332214i | ||||||
\(761\) | −13.5561 | − | 7.82661i | −0.491408 | − | 0.283714i | 0.233751 | − | 0.972297i | \(-0.424900\pi\) |
−0.725158 | + | 0.688582i | \(0.758233\pi\) | |||||||
\(762\) | 41.3101 | + | 1.90244i | 1.49651 | + | 0.0689182i | ||||
\(763\) | 9.27570 | − | 2.64463i | 0.335803 | − | 0.0957419i | ||||
\(764\) | 4.32707 | + | 2.49824i | 0.156548 | + | 0.0903830i | ||||
\(765\) | −2.52434 | + | 27.3490i | −0.0912677 | + | 0.988804i | ||||
\(766\) | −46.8770 | − | 27.0644i | −1.69373 | − | 0.977877i | ||||
\(767\) | 21.6439 | − | 34.4815i | 0.781516 | − | 1.24505i | ||||
\(768\) | 16.0023 | + | 30.9201i | 0.577433 | + | 1.11573i | ||||
\(769\) | −5.51070 | + | 9.54482i | −0.198721 | + | 0.344195i | −0.948114 | − | 0.317931i | \(-0.897012\pi\) |
0.749393 | + | 0.662126i | \(0.230345\pi\) | |||||||
\(770\) | 26.7930 | − | 7.63904i | 0.965552 | − | 0.275292i | ||||
\(771\) | −2.24252 | − | 4.33306i | −0.0807624 | − | 0.156051i | ||||
\(772\) | 9.13389 | − | 5.27346i | 0.328736 | − | 0.189796i | ||||
\(773\) | − | 17.6727i | − | 0.635642i | −0.948151 | − | 0.317821i | \(-0.897049\pi\) | ||
0.948151 | − | 0.317821i | \(-0.102951\pi\) | |||||||
\(774\) | 36.7027 | + | 3.38770i | 1.31925 | + | 0.121768i | ||||
\(775\) | 4.70391 | + | 8.14741i | 0.168969 | + | 0.292664i | ||||
\(776\) | −10.7762 | − | 18.6649i | −0.386843 | − | 0.670032i | ||||
\(777\) | −13.1976 | + | 43.9253i | −0.473461 | + | 1.57581i | ||||
\(778\) | 24.9331 | + | 14.3951i | 0.893895 | + | 0.516090i | ||||
\(779\) | −12.0542 | + | 6.95947i | −0.431885 | + | 0.249349i | ||||
\(780\) | −4.42946 | − | 9.39313i | −0.158600 | − | 0.336328i | ||||
\(781\) | −10.5273 | + | 18.2339i | −0.376698 | + | 0.652459i | ||||
\(782\) | − | 7.21072i | − | 0.257855i | ||||||
\(783\) | 3.84469 | + | 2.99412i | 0.137398 | + | 0.107001i | ||||
\(784\) | 1.11211 | + | 34.8619i | 0.0397183 | + | 1.24507i | ||||
\(785\) | 5.53967 | 0.197719 | ||||||||
\(786\) | −23.0864 | + | 36.0483i | −0.823466 | + | 1.28580i | ||||
\(787\) | −8.87825 | −0.316475 | −0.158238 | − | 0.987401i | \(-0.550581\pi\) | ||||
−0.158238 | + | 0.987401i | \(0.550581\pi\) | |||||||
\(788\) | 3.11849 | − | 5.40138i | 0.111091 | − | 0.192416i | ||||
\(789\) | −40.4251 | − | 25.8895i | −1.43917 | − | 0.921691i | ||||
\(790\) | −27.0782 | − | 15.6336i | −0.963399 | − | 0.556219i | ||||
\(791\) | 6.98927 | − | 27.8534i | 0.248510 | − | 0.990352i | ||||
\(792\) | −18.5913 | − | 1.71599i | −0.660612 | − | 0.0609752i | ||||
\(793\) | 7.01262 | + | 13.2537i | 0.249025 | + | 0.470652i | ||||
\(794\) | 6.03904 | − | 10.4599i | 0.214317 | − | 0.371209i | ||||
\(795\) | −1.46775 | − | 2.83604i | −0.0520559 | − | 0.100584i | ||||
\(796\) | 22.1321i | 0.784450i | ||||||||
\(797\) | −3.59132 | − | 6.22034i | −0.127211 | − | 0.220336i | 0.795384 | − | 0.606106i | \(-0.207269\pi\) |
−0.922595 | + | 0.385770i | \(0.873936\pi\) | |||||||
\(798\) | 23.9211 | − | 22.5238i | 0.846796 | − | 0.797334i | ||||
\(799\) | −45.1325 | + | 26.0573i | −1.59667 | + | 0.921840i | ||||
\(800\) | −8.14996 | + | 14.1161i | −0.288144 | + | 0.499081i | ||||
\(801\) | 6.27033 | + | 4.43529i | 0.221551 | + | 0.156713i | ||||
\(802\) | −20.9591 | −0.740092 | ||||||||
\(803\) | 49.5408 | 1.74826 | ||||||||
\(804\) | −0.830555 | − | 0.531913i | −0.0292914 | − | 0.0187591i | ||||
\(805\) | 2.46879 | + | 0.619494i | 0.0870133 | + | 0.0218343i | ||||
\(806\) | −18.6898 | + | 9.88893i | −0.658321 | + | 0.348323i | ||||
\(807\) | −4.60666 | − | 8.90111i | −0.162162 | − | 0.313334i | ||||
\(808\) | 1.91328 | + | 3.31389i | 0.0673088 | + | 0.116582i | ||||
\(809\) | 19.5390 | − | 11.2808i | 0.686955 | − | 0.396614i | −0.115515 | − | 0.993306i | \(-0.536852\pi\) |
0.802470 | + | 0.596692i | \(0.203519\pi\) | |||||||
\(810\) | −17.7909 | − | 15.2202i | −0.625110 | − | 0.534782i | ||||
\(811\) | −21.8927 | −0.768757 | −0.384379 | − | 0.923176i | \(-0.625584\pi\) | ||||
−0.384379 | + | 0.923176i | \(0.625584\pi\) | |||||||
\(812\) | −2.69904 | + | 0.769534i | −0.0947179 | + | 0.0270054i | ||||
\(813\) | −10.3558 | − | 20.0098i | −0.363195 | − | 0.701775i | ||||
\(814\) | 62.0843 | − | 35.8444i | 2.17605 | − | 1.25635i | ||||
\(815\) | −14.2608 | −0.499534 | ||||||||
\(816\) | 24.7025 | + | 47.7308i | 0.864759 | + | 1.67091i | ||||
\(817\) | −28.1337 | −0.984273 | ||||||||
\(818\) | −45.1965 | −1.58026 | ||||||||
\(819\) | −10.4776 | + | 26.6312i | −0.366116 | + | 0.930569i | ||||
\(820\) | −5.71252 | −0.199490 | ||||||||
\(821\) | −28.5392 | −0.996026 | −0.498013 | − | 0.867170i | \(-0.665937\pi\) | ||||
−0.498013 | + | 0.867170i | \(0.665937\pi\) | |||||||
\(822\) | −24.5865 | − | 47.5068i | −0.857554 | − | 1.65699i | ||||
\(823\) | −32.4802 | −1.13219 | −0.566095 | − | 0.824340i | \(-0.691546\pi\) | ||||
−0.566095 | + | 0.824340i | \(0.691546\pi\) | |||||||
\(824\) | 7.69004 | − | 4.43985i | 0.267895 | − | 0.154669i | ||||
\(825\) | −9.14757 | − | 17.6752i | −0.318478 | − | 0.615371i | ||||
\(826\) | 37.9705 | + | 36.7786i | 1.32116 | + | 1.27969i | ||||
\(827\) | 7.10236 | 0.246973 | 0.123487 | − | 0.992346i | \(-0.460592\pi\) | ||||
0.123487 | + | 0.992346i | \(0.460592\pi\) | |||||||
\(828\) | 1.81289 | + | 1.28234i | 0.0630023 | + | 0.0445644i | ||||
\(829\) | 22.5580 | − | 13.0239i | 0.783472 | − | 0.452338i | −0.0541873 | − | 0.998531i | \(-0.517257\pi\) |
0.837659 | + | 0.546193i | \(0.183923\pi\) | |||||||
\(830\) | 19.1371 | + | 33.1464i | 0.664257 | + | 1.15053i | ||||
\(831\) | 10.1575 | + | 19.6266i | 0.352359 | + | 0.680838i | ||||
\(832\) | −0.596033 | − | 0.374128i | −0.0206637 | − | 0.0129705i | ||||
\(833\) | 1.38986 | + | 43.5687i | 0.0481560 | + | 1.50957i | ||||
\(834\) | −16.2690 | − | 10.4192i | −0.563348 | − | 0.360786i | ||||
\(835\) | −1.11228 | −0.0384919 | ||||||||
\(836\) | −18.5525 | −0.641650 | ||||||||
\(837\) | −10.5811 | + | 13.5870i | −0.365737 | + | 0.469636i | ||||
\(838\) | −6.12122 | + | 10.6023i | −0.211454 | + | 0.366249i | ||||
\(839\) | 22.4098 | − | 12.9383i | 0.773672 | − | 0.446680i | −0.0605109 | − | 0.998168i | \(-0.519273\pi\) |
0.834183 | + | 0.551488i | \(0.185940\pi\) | |||||||
\(840\) | −10.0812 | + | 2.37878i | −0.347833 | + | 0.0820756i | ||||
\(841\) | −14.0603 | − | 24.3531i | −0.484836 | − | 0.839761i | ||||
\(842\) | 35.8323i | 1.23486i | ||||||||
\(843\) | 3.08148 | + | 5.95413i | 0.106132 | + | 0.205071i | ||||
\(844\) | 10.5653 | − | 18.2997i | 0.363674 | − | 0.629901i | ||||
\(845\) | −15.8011 | − | 10.7516i | −0.543574 | − | 0.369866i | ||||
\(846\) | 4.08318 | − | 44.2376i | 0.140383 | − | 1.52092i | ||||
\(847\) | 3.90668 | + | 13.7022i | 0.134235 | + | 0.470813i | ||||
\(848\) | −5.41159 | − | 3.12438i | −0.185835 | − | 0.107292i | ||||
\(849\) | −25.2937 | − | 16.1989i | −0.868079 | − | 0.555944i | ||||
\(850\) | −15.6397 | + | 27.0887i | −0.536437 | + | 0.929135i | ||||
\(851\) | 6.54941 | 0.224511 | ||||||||
\(852\) | −5.49587 | + | 8.58151i | −0.188285 | + | 0.293998i | ||||
\(853\) | −16.5705 | −0.567365 | −0.283682 | − | 0.958918i | \(-0.591556\pi\) | ||||
−0.283682 | + | 0.958918i | \(0.591556\pi\) | |||||||
\(854\) | −18.7237 | + | 5.33837i | −0.640711 | + | 0.182675i | ||||
\(855\) | 14.5898 | + | 10.3200i | 0.498961 | + | 0.352938i | ||||
\(856\) | 21.9821i | 0.751332i | ||||||||
\(857\) | 8.47666 | − | 14.6820i | 0.289557 | − | 0.501528i | −0.684147 | − | 0.729344i | \(-0.739825\pi\) |
0.973704 | + | 0.227816i | \(0.0731586\pi\) | |||||||
\(858\) | 40.4584 | − | 19.0788i | 1.38123 | − | 0.651338i | ||||
\(859\) | 24.1112 | − | 13.9206i | 0.822663 | − | 0.474965i | −0.0286709 | − | 0.999589i | \(-0.509127\pi\) |
0.851334 | + | 0.524624i | \(0.175794\pi\) | |||||||
\(860\) | −9.99950 | − | 5.77322i | −0.340980 | − | 0.196865i | ||||
\(861\) | 10.7915 | + | 11.4609i | 0.367772 | + | 0.390586i | ||||
\(862\) | 11.6618 | + | 20.1988i | 0.397201 | + | 0.687973i | ||||
\(863\) | 7.09342 | + | 12.2862i | 0.241463 | + | 0.418226i | 0.961131 | − | 0.276092i | \(-0.0890395\pi\) |
−0.719668 | + | 0.694318i | \(0.755706\pi\) | |||||||
\(864\) | −29.5533 | − | 4.10626i | −1.00542 | − | 0.139698i | ||||
\(865\) | 1.04910i | 0.0356705i | ||||||||
\(866\) | −0.149524 | + | 0.0863274i | −0.00508102 | + | 0.00293353i | ||||
\(867\) | 17.3382 | + | 33.5014i | 0.588837 | + | 1.13777i | ||||
\(868\) | −2.71951 | − | 9.53835i | −0.0923063 | − | 0.323753i | ||||
\(869\) | 24.3260 | − | 42.1339i | 0.825204 | − | 1.42930i | ||||
\(870\) | −1.94223 | − | 3.75284i | −0.0658478 | − | 0.127233i | ||||
\(871\) | −1.81385 | − | 0.0670290i | −0.0614599 | − | 0.00227119i | ||||
\(872\) | 4.85402 | + | 2.80247i | 0.164378 | + | 0.0949036i | ||||
\(873\) | 41.8767 | + | 3.86527i | 1.41731 | + | 0.130820i | ||||
\(874\) | −4.06322 | − | 2.34590i | −0.137440 | − | 0.0793512i | ||||
\(875\) | −21.9005 | − | 21.2130i | −0.740372 | − | 0.717131i | ||||
\(876\) | 23.9525 | + | 1.10308i | 0.809282 | + | 0.0372696i | ||||
\(877\) | 31.4019 | + | 18.1299i | 1.06037 | + | 0.612204i | 0.925534 | − | 0.378665i | \(-0.123617\pi\) |
0.134834 | + | 0.990868i | \(0.456950\pi\) | |||||||
\(878\) | 60.0957i | 2.02813i | ||||||||
\(879\) | 3.47061 | + | 2.22269i | 0.117061 | + | 0.0749694i | ||||
\(880\) | 25.6801 | + | 14.8264i | 0.865675 | + | 0.499798i | ||||
\(881\) | −11.8685 | + | 20.5569i | −0.399860 | + | 0.692578i | −0.993708 | − | 0.111999i | \(-0.964275\pi\) |
0.593848 | + | 0.804577i | \(0.297608\pi\) | |||||||
\(882\) | −31.0060 | − | 20.4807i | −1.04403 | − | 0.689622i | ||||
\(883\) | −42.8249 | −1.44117 | −0.720586 | − | 0.693366i | \(-0.756127\pi\) | ||||
−0.720586 | + | 0.693366i | \(0.756127\pi\) | |||||||
\(884\) | −21.5106 | − | 13.5021i | −0.723480 | − | 0.454126i | ||||
\(885\) | −15.5064 | + | 24.2124i | −0.521241 | + | 0.813891i | ||||
\(886\) | −32.6833 | + | 18.8697i | −1.09802 | + | 0.633941i | ||||
\(887\) | 52.2151 | 1.75321 | 0.876605 | − | 0.481210i | \(-0.159802\pi\) | ||||
0.876605 | + | 0.481210i | \(0.159802\pi\) | |||||||
\(888\) | −23.6702 | + | 12.2502i | −0.794321 | + | 0.411090i | ||||
\(889\) | 9.78816 | + | 34.3307i | 0.328284 | + | 1.15142i | ||||
\(890\) | −3.33004 | − | 5.76780i | −0.111623 | − | 0.193337i | ||||
\(891\) | 23.6827 | − | 27.6828i | 0.793401 | − | 0.927410i | ||||
\(892\) | −4.85611 | + | 8.41104i | −0.162595 | + | 0.281622i | ||||
\(893\) | 33.9094i | 1.13473i | ||||||||
\(894\) | −63.3301 | − | 2.91652i | −2.11807 | − | 0.0975430i | ||||
\(895\) | −0.724909 | + | 1.25558i | −0.0242311 | + | 0.0419694i | ||||
\(896\) | −20.5042 | + | 21.1687i | −0.684997 | + | 0.707198i | ||||
\(897\) | 4.07255 | + | 0.338625i | 0.135978 | + | 0.0113064i | ||||
\(898\) | −14.2971 | − | 24.7634i | −0.477101 | − | 0.826364i | ||||
\(899\) | −2.69170 | + | 1.55406i | −0.0897734 | + | 0.0518307i | ||||
\(900\) | −4.02921 | − | 8.74948i | −0.134307 | − | 0.291649i | ||||
\(901\) | −6.76314 | − | 3.90470i | −0.225313 | − | 0.130084i | ||||
\(902\) | − | 24.6052i | − | 0.819263i | ||||||
\(903\) | 7.30727 | + | 30.9679i | 0.243171 | + | 1.03055i | ||||
\(904\) | 14.4518 | − | 8.34374i | 0.480659 | − | 0.277509i | ||||
\(905\) | 8.03081 | + | 13.9098i | 0.266953 | + | 0.462377i | ||||
\(906\) | −1.45007 | + | 31.4872i | −0.0481753 | + | 1.04609i | ||||
\(907\) | −3.79115 | − | 6.56647i | −0.125883 | − | 0.218036i | 0.796195 | − | 0.605041i | \(-0.206843\pi\) |
−0.922078 | + | 0.387005i | \(0.873510\pi\) | |||||||
\(908\) | − | 4.71909i | − | 0.156608i | ||||||
\(909\) | −7.43506 | − | 0.686264i | −0.246605 | − | 0.0227619i | ||||
\(910\) | 17.9122 | − | 17.1755i | 0.593784 | − | 0.569363i | ||||
\(911\) | − | 8.93235i | − | 0.295942i | −0.988992 | − | 0.147971i | \(-0.952726\pi\) | ||
0.988992 | − | 0.147971i | \(-0.0472742\pi\) | |||||||
\(912\) | 34.9327 | + | 1.60875i | 1.15674 | + | 0.0532709i | ||||
\(913\) | −51.5760 | + | 29.7774i | −1.70692 | + | 0.985490i | ||||
\(914\) | 55.8553i | 1.84753i | ||||||||
\(915\) | −4.86738 | − | 9.40489i | −0.160911 | − | 0.310916i | ||||
\(916\) | 2.44622 | + | 4.23697i | 0.0808253 | + | 0.139993i | ||||
\(917\) | −35.8423 | − | 8.99393i | −1.18362 | − | 0.297006i | ||||
\(918\) | −56.7124 | − | 7.87988i | −1.87179 | − | 0.260075i | ||||
\(919\) | 13.2244 | − | 22.9054i | 0.436234 | − | 0.755580i | −0.561161 | − | 0.827707i | \(-0.689645\pi\) |
0.997395 | + | 0.0721266i | \(0.0229786\pi\) | |||||||
\(920\) | 0.739548 | + | 1.28093i | 0.0243822 | + | 0.0422312i | ||||
\(921\) | 4.10164 | + | 7.92531i | 0.135154 | + | 0.261148i | ||||
\(922\) | 30.2091 | − | 17.4412i | 0.994882 | − | 0.574396i | ||||
\(923\) | −0.692561 | + | 18.7411i | −0.0227959 | + | 0.616872i | ||||
\(924\) | 4.81870 | + | 20.4215i | 0.158524 | + | 0.671817i | ||||
\(925\) | −24.6044 | − | 14.2053i | −0.808987 | − | 0.467069i | ||||
\(926\) | − | 38.4366i | − | 1.26311i | ||||||
\(927\) | −1.59251 | + | 17.2534i | −0.0523049 | + | 0.566676i | ||||
\(928\) | −4.66362 | − | 2.69254i | −0.153091 | − | 0.0883871i | ||||
\(929\) | −21.7041 | − | 12.5309i | −0.712089 | − | 0.411125i | 0.0997447 | − | 0.995013i | \(-0.468197\pi\) |
−0.811834 | + | 0.583888i | \(0.801531\pi\) | |||||||
\(930\) | 13.2624 | − | 6.86380i | 0.434892 | − | 0.225073i | ||||
\(931\) | 25.0030 | + | 13.3912i | 0.819440 | + | 0.438880i | ||||
\(932\) | 4.88651 | − | 2.82123i | 0.160063 | − | 0.0924124i | ||||
\(933\) | 0.190710 | + | 0.00878269i | 0.00624355 | + | 0.000287532i | ||||
\(934\) | 23.8725 | + | 41.3484i | 0.781133 | + | 1.35296i | ||||
\(935\) | 32.0937 | + | 18.5293i | 1.04958 | + | 0.605974i | ||||
\(936\) | −15.3520 | + | 6.39359i | −0.501794 | + | 0.208981i | ||||
\(937\) | − | 3.20511i | − | 0.104706i | −0.998629 | − | 0.0523532i | \(-0.983328\pi\) | ||
0.998629 | − | 0.0523532i | \(-0.0166722\pi\) | |||||||
\(938\) | 0.573614 | − | 2.28595i | 0.0187292 | − | 0.0746388i | ||||
\(939\) | −9.85520 | − | 6.31158i | −0.321612 | − | 0.205971i | ||||
\(940\) | −6.95842 | + | 12.0523i | −0.226959 | + | 0.393104i | ||||
\(941\) | 26.0269 | + | 15.0266i | 0.848452 | + | 0.489854i | 0.860128 | − | 0.510078i | \(-0.170384\pi\) |
−0.0116765 | + | 0.999932i | \(0.503717\pi\) | |||||||
\(942\) | −0.531283 | + | 11.5364i | −0.0173101 | + | 0.375877i | ||||
\(943\) | 1.12395 | − | 1.94674i | 0.0366009 | − | 0.0633946i | ||||
\(944\) | 56.2626i | 1.83119i | ||||||||
\(945\) | 7.57023 | − | 18.7401i | 0.246260 | − | 0.609614i | ||||
\(946\) | 24.8666 | − | 43.0703i | 0.808484 | − | 1.40033i | ||||
\(947\) | 28.4906 | 0.925821 | 0.462910 | − | 0.886405i | \(-0.346805\pi\) | ||||
0.462910 | + | 0.886405i | \(0.346805\pi\) | |||||||
\(948\) | 12.6996 | − | 19.8297i | 0.412463 | − | 0.644039i | ||||
\(949\) | 39.0041 | − | 20.6374i | 1.26613 | − | 0.669917i | ||||
\(950\) | 10.1763 | + | 17.6258i | 0.330162 | + | 0.571857i | ||||
\(951\) | −5.96353 | + | 9.31175i | −0.193381 | + | 0.301954i | ||||
\(952\) | −17.6237 | + | 18.1949i | −0.571188 | + | 0.589700i | ||||
\(953\) | 49.5123 | − | 28.5859i | 1.60386 | − | 0.925989i | 0.613154 | − | 0.789964i | \(-0.289901\pi\) |
0.990705 | − | 0.136025i | \(-0.0434327\pi\) | |||||||
\(954\) | 6.04685 | − | 2.78462i | 0.195774 | − | 0.0901556i | ||||
\(955\) | −6.49400 | −0.210141 | ||||||||
\(956\) | 17.5163 | 0.566517 | ||||||||
\(957\) | 5.83945 | − | 3.02213i | 0.188763 | − | 0.0976916i | ||||
\(958\) | 60.7850 | − | 35.0942i | 1.96387 | − | 1.13384i | ||||
\(959\) | 32.1274 | − | 33.1686i | 1.03745 | − | 1.07107i | ||||
\(960\) | 0.418526 | + | 0.268037i | 0.0135079 | + | 0.00865085i | ||||
\(961\) | 10.0080 | + | 17.3344i | 0.322839 | + | 0.559173i | ||||
\(962\) | 33.9479 | − | 54.0833i | 1.09453 | − | 1.74372i | ||||
\(963\) | −35.0181 | − | 24.7699i | −1.12844 | − | 0.798200i | ||||
\(964\) | −16.1713 | −0.520841 | ||||||||
\(965\) | −6.85400 | + | 11.8715i | −0.220638 | + | 0.382157i | ||||
\(966\) | −1.52687 | + | 5.08186i | −0.0491263 | + | 0.163506i | ||||
\(967\) | 4.15192i | 0.133517i | 0.997769 | + | 0.0667583i | \(0.0212656\pi\) | ||||
−0.997769 | + | 0.0667583i | \(0.978734\pi\) | |||||||
\(968\) | −4.13985 | + | 7.17043i | −0.133060 | + | 0.230466i | ||||
\(969\) | 43.6573 | + | 2.01053i | 1.40247 | + | 0.0645877i | ||||
\(970\) | −31.5820 | − | 18.2339i | −1.01404 | − | 0.585455i | ||||
\(971\) | −3.03356 | + | 5.25429i | −0.0973517 | + | 0.168618i | −0.910588 | − | 0.413316i | \(-0.864370\pi\) |
0.813236 | + | 0.581934i | \(0.197704\pi\) | |||||||
\(972\) | 12.0668 | − | 12.8571i | 0.387042 | − | 0.412391i | ||||
\(973\) | 4.05905 | − | 16.1760i | 0.130127 | − | 0.518578i | ||||
\(974\) | − | 27.1150i | − | 0.868822i | ||||||
\(975\) | −14.5650 | − | 10.1053i | −0.466453 | − | 0.323628i | ||||
\(976\) | −17.9459 | − | 10.3611i | −0.574435 | − | 0.331650i | ||||
\(977\) | −14.4677 | − | 25.0588i | −0.462863 | − | 0.801702i | 0.536239 | − | 0.844066i | \(-0.319844\pi\) |
−0.999102 | + | 0.0423639i | \(0.986511\pi\) | |||||||
\(978\) | 1.36768 | − | 29.6983i | 0.0437337 | − | 0.949645i | ||||
\(979\) | 8.97474 | − | 5.18157i | 0.286834 | − | 0.165604i | ||||
\(980\) | 6.13880 | + | 9.89041i | 0.196097 | + | 0.315937i | ||||
\(981\) | −9.93405 | + | 4.57472i | −0.317170 | + | 0.146059i | ||||
\(982\) | 61.4626 | + | 35.4855i | 1.96135 | + | 1.13239i | ||||
\(983\) | 5.87166 | + | 3.39000i | 0.187277 | + | 0.108124i | 0.590707 | − | 0.806886i | \(-0.298849\pi\) |
−0.403430 | + | 0.915010i | \(0.632182\pi\) | |||||||
\(984\) | −0.420829 | + | 9.13799i | −0.0134155 | + | 0.291308i | ||||
\(985\) | 8.10630i | 0.258288i | ||||||||
\(986\) | −8.94944 | − | 5.16696i | −0.285008 | − | 0.164550i | ||||
\(987\) | 37.3255 | − | 8.80741i | 1.18808 | − | 0.280343i | ||||
\(988\) | −14.6066 | + | 7.72844i | −0.464697 | + | 0.245875i | ||||
\(989\) | 3.93485 | − | 2.27179i | 0.125121 | − | 0.0722387i | ||||
\(990\) | −28.6946 | + | 13.2141i | −0.911975 | + | 0.419973i | ||||
\(991\) | −11.9865 | − | 20.7613i | −0.380765 | − | 0.659504i | 0.610407 | − | 0.792088i | \(-0.291006\pi\) |
−0.991172 | + | 0.132584i | \(0.957673\pi\) | |||||||
\(992\) | 9.51538 | − | 16.4811i | 0.302114 | − | 0.523276i | ||||
\(993\) | −1.00170 | + | 21.7512i | −0.0317880 | + | 0.690253i | ||||
\(994\) | −23.6190 | − | 5.92673i | −0.749148 | − | 0.187984i | ||||
\(995\) | −14.3827 | − | 24.9116i | −0.455963 | − | 0.789751i | ||||
\(996\) | −25.5996 | + | 13.2487i | −0.811154 | + | 0.419802i | ||||
\(997\) | − | 45.6137i | − | 1.44460i | −0.691579 | − | 0.722301i | \(-0.743085\pi\) | ||
0.691579 | − | 0.722301i | \(-0.256915\pi\) | |||||||
\(998\) | 66.4142 | − | 38.3443i | 2.10230 | − | 1.21377i | ||||
\(999\) | 7.15720 | − | 51.5113i | 0.226444 | − | 1.62974i |
(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.br.b.17.7 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.br.b.17.26 | yes | 64 | |
7.5 | odd | 6 | 273.2.y.b.173.26 | yes | 64 | ||
13.10 | even | 6 | 273.2.y.b.101.7 | ✓ | 64 | ||
21.5 | even | 6 | 273.2.y.b.173.7 | yes | 64 | ||
39.23 | odd | 6 | 273.2.y.b.101.26 | yes | 64 | ||
91.75 | odd | 6 | inner | 273.2.br.b.257.26 | yes | 64 | |
273.257 | even | 6 | inner | 273.2.br.b.257.7 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.y.b.101.7 | ✓ | 64 | 13.10 | even | 6 | ||
273.2.y.b.101.26 | yes | 64 | 39.23 | odd | 6 | ||
273.2.y.b.173.7 | yes | 64 | 21.5 | even | 6 | ||
273.2.y.b.173.26 | yes | 64 | 7.5 | odd | 6 | ||
273.2.br.b.17.7 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.br.b.17.26 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.br.b.257.7 | yes | 64 | 273.257 | even | 6 | inner | |
273.2.br.b.257.26 | yes | 64 | 91.75 | odd | 6 | inner |