Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(13,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([0, 27, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bd (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1908\) |
Relative dimension: | \(106\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 13.7 | ||
Character | \(\chi\) | \(=\) | 648.13 |
Dual form | 648.2.bd.a.349.7 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{4}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39070 | + | 0.256830i | −0.983371 | + | 0.181606i | ||||
\(3\) | 1.07027 | + | 1.36181i | 0.617922 | + | 0.786239i | ||||
\(4\) | 1.86808 | − | 0.714346i | 0.934038 | − | 0.357173i | ||||
\(5\) | 1.22125 | − | 0.365619i | 0.546161 | − | 0.163510i | −0.00182350 | − | 0.999998i | \(-0.500580\pi\) |
0.547985 | + | 0.836488i | \(0.315395\pi\) | |||||||
\(6\) | −1.83818 | − | 1.61898i | −0.750433 | − | 0.660947i | ||||
\(7\) | 0.532782 | + | 1.23513i | 0.201373 | + | 0.466834i | 0.988739 | − | 0.149651i | \(-0.0478151\pi\) |
−0.787366 | + | 0.616486i | \(0.788556\pi\) | |||||||
\(8\) | −2.41446 | + | 1.47322i | −0.853641 | + | 0.520861i | ||||
\(9\) | −0.709034 | + | 2.91501i | −0.236345 | + | 0.971669i | ||||
\(10\) | −1.60449 | + | 0.822120i | −0.507385 | + | 0.259977i | ||||
\(11\) | −0.619840 | − | 2.61531i | −0.186889 | − | 0.788545i | −0.983032 | − | 0.183437i | \(-0.941278\pi\) |
0.796143 | − | 0.605109i | \(-0.206870\pi\) | |||||||
\(12\) | 2.97215 | + | 1.77941i | 0.857986 | + | 0.513672i | ||||
\(13\) | −2.95766 | + | 4.49690i | −0.820307 | + | 1.24722i | 0.145862 | + | 0.989305i | \(0.453404\pi\) |
−0.966169 | + | 0.257911i | \(0.916966\pi\) | |||||||
\(14\) | −1.05816 | − | 1.58085i | −0.282804 | − | 0.422501i | ||||
\(15\) | 1.80498 | + | 1.27180i | 0.466043 | + | 0.328377i | ||||
\(16\) | 2.97942 | − | 2.66891i | 0.744855 | − | 0.667227i | ||||
\(17\) | 0.278388 | − | 0.101325i | 0.0675190 | − | 0.0245749i | −0.308040 | − | 0.951373i | \(-0.599673\pi\) |
0.375559 | + | 0.926799i | \(0.377451\pi\) | |||||||
\(18\) | 0.237388 | − | 4.23599i | 0.0559530 | − | 0.998433i | ||||
\(19\) | −2.68815 | + | 7.38562i | −0.616703 | + | 1.69438i | 0.0982107 | + | 0.995166i | \(0.468688\pi\) |
−0.714914 | + | 0.699213i | \(0.753534\pi\) | |||||||
\(20\) | 2.02022 | − | 1.55540i | 0.451734 | − | 0.347799i | ||||
\(21\) | −1.11178 | + | 2.04747i | −0.242611 | + | 0.446794i | ||||
\(22\) | 1.53370 | + | 3.47791i | 0.326986 | + | 0.741493i | ||||
\(23\) | −0.374244 | + | 0.867596i | −0.0780354 | + | 0.180906i | −0.952768 | − | 0.303700i | \(-0.901778\pi\) |
0.874732 | + | 0.484606i | \(0.161037\pi\) | |||||||
\(24\) | −4.59037 | − | 1.71129i | −0.937005 | − | 0.349315i | ||||
\(25\) | −2.81966 | + | 1.85452i | −0.563931 | + | 0.370904i | ||||
\(26\) | 2.95827 | − | 7.01344i | 0.580164 | − | 1.37545i | ||||
\(27\) | −4.72854 | + | 2.15429i | −0.910007 | + | 0.414593i | ||||
\(28\) | 1.87759 | + | 1.92672i | 0.354830 | + | 0.364116i | ||||
\(29\) | 6.85265 | − | 0.399122i | 1.27251 | − | 0.0741150i | 0.591447 | − | 0.806344i | \(-0.298557\pi\) |
0.681059 | + | 0.732229i | \(0.261520\pi\) | |||||||
\(30\) | −2.83681 | − | 1.30511i | −0.517929 | − | 0.238280i | ||||
\(31\) | 9.53881 | − | 1.11493i | 1.71322 | − | 0.200247i | 0.797849 | − | 0.602857i | \(-0.205971\pi\) |
0.915371 | + | 0.402611i | \(0.131897\pi\) | |||||||
\(32\) | −3.45801 | + | 4.47685i | −0.611296 | + | 0.791402i | ||||
\(33\) | 2.89815 | − | 3.64319i | 0.504503 | − | 0.634199i | ||||
\(34\) | −0.361130 | + | 0.212411i | −0.0619333 | + | 0.0364281i | ||||
\(35\) | 1.10225 | + | 1.31361i | 0.186314 | + | 0.222040i | ||||
\(36\) | 0.757796 | + | 5.95195i | 0.126299 | + | 0.991992i | ||||
\(37\) | 4.68278 | − | 5.58071i | 0.769844 | − | 0.917464i | −0.228584 | − | 0.973524i | \(-0.573409\pi\) |
0.998427 | + | 0.0560604i | \(0.0178539\pi\) | |||||||
\(38\) | 1.84155 | − | 10.9616i | 0.298738 | − | 1.77820i | ||||
\(39\) | −9.28941 | + | 0.785151i | −1.48750 | + | 0.125725i | ||||
\(40\) | −2.41003 | + | 2.68195i | −0.381060 | + | 0.424053i | ||||
\(41\) | 5.11848 | − | 2.57060i | 0.799372 | − | 0.401460i | −0.00172181 | − | 0.999999i | \(-0.500548\pi\) |
0.801094 | + | 0.598539i | \(0.204252\pi\) | |||||||
\(42\) | 1.02030 | − | 3.13295i | 0.157436 | − | 0.483424i | ||||
\(43\) | −5.54810 | + | 5.23436i | −0.846077 | + | 0.798233i | −0.981280 | − | 0.192585i | \(-0.938313\pi\) |
0.135203 | + | 0.990818i | \(0.456831\pi\) | |||||||
\(44\) | −3.02614 | − | 4.44282i | −0.456208 | − | 0.669780i | ||||
\(45\) | 0.199873 | + | 3.81920i | 0.0297954 | + | 0.569333i | ||||
\(46\) | 0.297636 | − | 1.30268i | 0.0438840 | − | 0.192070i | ||||
\(47\) | −0.624605 | − | 0.0730059i | −0.0911080 | − | 0.0106490i | 0.0704167 | − | 0.997518i | \(-0.477567\pi\) |
−0.161525 | + | 0.986869i | \(0.551641\pi\) | |||||||
\(48\) | 6.82332 | + | 1.20093i | 0.984862 | + | 0.173340i | ||||
\(49\) | 3.56201 | − | 3.77551i | 0.508858 | − | 0.539358i | ||||
\(50\) | 3.44499 | − | 3.30325i | 0.487195 | − | 0.467149i | ||||
\(51\) | 0.435936 | + | 0.270665i | 0.0610432 | + | 0.0379007i | ||||
\(52\) | −2.31279 | + | 10.5133i | −0.320726 | + | 1.45794i | ||||
\(53\) | −9.12039 | − | 5.26566i | −1.25278 | − | 0.723294i | −0.281121 | − | 0.959672i | \(-0.590706\pi\) |
−0.971661 | + | 0.236378i | \(0.924040\pi\) | |||||||
\(54\) | 6.02267 | − | 4.21039i | 0.819582 | − | 0.572962i | ||||
\(55\) | −1.71319 | − | 2.96733i | −0.231006 | − | 0.400115i | ||||
\(56\) | −3.10599 | − | 2.19726i | −0.415056 | − | 0.293622i | ||||
\(57\) | −12.9348 | + | 4.24389i | −1.71326 | + | 0.562117i | ||||
\(58\) | −9.42746 | + | 2.31503i | −1.23789 | + | 0.303978i | ||||
\(59\) | −3.32843 | + | 14.0438i | −0.433325 | + | 1.82834i | 0.116664 | + | 0.993171i | \(0.462780\pi\) |
−0.549990 | + | 0.835171i | \(0.685368\pi\) | |||||||
\(60\) | 4.28034 | + | 1.08644i | 0.552589 | + | 0.140259i | ||||
\(61\) | 11.7659 | + | 8.75938i | 1.50647 | + | 1.12152i | 0.958525 | + | 0.285008i | \(0.0919961\pi\) |
0.547942 | + | 0.836516i | \(0.315411\pi\) | |||||||
\(62\) | −12.9792 | + | 4.00038i | −1.64837 | + | 0.508049i | ||||
\(63\) | −3.97817 | + | 0.677317i | −0.501202 | + | 0.0853339i | ||||
\(64\) | 3.65926 | − | 7.11406i | 0.457407 | − | 0.889257i | ||||
\(65\) | −1.96790 | + | 6.57323i | −0.244087 | + | 0.815309i | ||||
\(66\) | −3.09476 | + | 5.81091i | −0.380939 | + | 0.715274i | ||||
\(67\) | −6.61586 | − | 0.385330i | −0.808256 | − | 0.0470755i | −0.350960 | − | 0.936390i | \(-0.614145\pi\) |
−0.457295 | + | 0.889315i | \(0.651182\pi\) | |||||||
\(68\) | 0.447669 | − | 0.388148i | 0.0542878 | − | 0.0470699i | ||||
\(69\) | −1.58204 | + | 0.418916i | −0.190455 | + | 0.0504315i | ||||
\(70\) | −1.87027 | − | 1.54374i | −0.223540 | − | 0.184512i | ||||
\(71\) | 0.592949 | − | 3.36278i | 0.0703702 | − | 0.399089i | −0.929195 | − | 0.369591i | \(-0.879498\pi\) |
0.999565 | − | 0.0294983i | \(-0.00939097\pi\) | |||||||
\(72\) | −2.58251 | − | 8.08274i | −0.304351 | − | 0.952560i | ||||
\(73\) | −0.581521 | − | 3.29797i | −0.0680618 | − | 0.385998i | −0.999742 | − | 0.0227180i | \(-0.992768\pi\) |
0.931680 | − | 0.363280i | \(-0.118343\pi\) | |||||||
\(74\) | −5.07903 | + | 8.96376i | −0.590425 | + | 1.04202i | ||||
\(75\) | −5.54330 | − | 1.85499i | −0.640085 | − | 0.214196i | ||||
\(76\) | 0.254228 | + | 15.7172i | 0.0291620 | + | 1.80288i | ||||
\(77\) | 2.90000 | − | 2.15897i | 0.330486 | − | 0.246037i | ||||
\(78\) | 12.7171 | − | 3.47771i | 1.43993 | − | 0.393773i | ||||
\(79\) | 3.06222 | + | 1.53791i | 0.344527 | + | 0.173028i | 0.612645 | − | 0.790358i | \(-0.290105\pi\) |
−0.268118 | + | 0.963386i | \(0.586402\pi\) | |||||||
\(80\) | 2.66282 | − | 4.34874i | 0.297712 | − | 0.486204i | ||||
\(81\) | −7.99454 | − | 4.13368i | −0.888283 | − | 0.459297i | ||||
\(82\) | −6.45805 | + | 4.88950i | −0.713172 | + | 0.539955i | ||||
\(83\) | 1.55050 | − | 3.08731i | 0.170190 | − | 0.338876i | −0.792327 | − | 0.610096i | \(-0.791131\pi\) |
0.962517 | + | 0.271220i | \(0.0874271\pi\) | |||||||
\(84\) | −0.614293 | + | 4.61903i | −0.0670249 | + | 0.503977i | ||||
\(85\) | 0.302936 | − | 0.225527i | 0.0328580 | − | 0.0244619i | ||||
\(86\) | 6.37138 | − | 8.70433i | 0.687044 | − | 0.938612i | ||||
\(87\) | 7.87773 | + | 8.90482i | 0.844581 | + | 0.954697i | ||||
\(88\) | 5.34950 | + | 5.40141i | 0.570258 | + | 0.575792i | ||||
\(89\) | −2.53990 | − | 14.4045i | −0.269229 | − | 1.52687i | −0.756716 | − | 0.653743i | \(-0.773198\pi\) |
0.487487 | − | 0.873130i | \(-0.337913\pi\) | |||||||
\(90\) | −1.25885 | − | 5.26002i | −0.132694 | − | 0.554454i | ||||
\(91\) | −7.13003 | − | 1.25722i | −0.747430 | − | 0.131792i | ||||
\(92\) | −0.0793532 | + | 1.88808i | −0.00827314 | + | 0.196846i | ||||
\(93\) | 11.7274 | + | 11.7967i | 1.21608 | + | 1.22326i | ||||
\(94\) | 0.887386 | − | 0.0588885i | 0.0915269 | − | 0.00607388i | ||||
\(95\) | −0.582582 | + | 10.0026i | −0.0597717 | + | 1.02624i | ||||
\(96\) | −9.79761 | + | 0.0823007i | −0.999965 | + | 0.00839978i | ||||
\(97\) | 0.244406 | − | 0.816373i | 0.0248157 | − | 0.0828901i | −0.944685 | − | 0.327980i | \(-0.893632\pi\) |
0.969500 | + | 0.245090i | \(0.0788174\pi\) | |||||||
\(98\) | −3.98401 | + | 6.16542i | −0.402446 | + | 0.622802i | ||||
\(99\) | 8.06313 | + | 0.0475044i | 0.810375 | + | 0.00477437i | ||||
\(100\) | −3.94257 | + | 5.47859i | −0.394257 | + | 0.547859i | ||||
\(101\) | 4.72810 | + | 3.51994i | 0.470463 | + | 0.350247i | 0.806135 | − | 0.591732i | \(-0.201556\pi\) |
−0.335671 | + | 0.941979i | \(0.608963\pi\) | |||||||
\(102\) | −0.675770 | − | 0.264452i | −0.0669112 | − | 0.0261846i | ||||
\(103\) | 5.57323 | + | 1.32088i | 0.549146 | + | 0.130150i | 0.495817 | − | 0.868427i | \(-0.334869\pi\) |
0.0533291 | + | 0.998577i | \(0.483017\pi\) | |||||||
\(104\) | 0.516240 | − | 15.2149i | 0.0506215 | − | 1.49194i | ||||
\(105\) | −0.609174 | + | 2.90697i | −0.0594493 | + | 0.283691i | ||||
\(106\) | 14.0361 | + | 4.98055i | 1.36331 | + | 0.483753i | ||||
\(107\) | −2.17833 | + | 1.25766i | −0.210587 | + | 0.121583i | −0.601584 | − | 0.798809i | \(-0.705464\pi\) |
0.390997 | + | 0.920392i | \(0.372130\pi\) | |||||||
\(108\) | −7.29436 | + | 7.40218i | −0.701900 | + | 0.712275i | ||||
\(109\) | −9.57733 | − | 5.52947i | −0.917341 | − | 0.529627i | −0.0345555 | − | 0.999403i | \(-0.511002\pi\) |
−0.882786 | + | 0.469775i | \(0.844335\pi\) | |||||||
\(110\) | 3.14463 | + | 3.68666i | 0.299828 | + | 0.351509i | ||||
\(111\) | 12.6117 | + | 0.404149i | 1.19705 | + | 0.0383601i | ||||
\(112\) | 4.88382 | + | 2.25802i | 0.461478 | + | 0.213362i | ||||
\(113\) | −4.57230 | + | 4.84636i | −0.430126 | + | 0.455907i | −0.905794 | − | 0.423718i | \(-0.860725\pi\) |
0.475668 | + | 0.879625i | \(0.342206\pi\) | |||||||
\(114\) | 16.8985 | − | 9.22403i | 1.58269 | − | 0.863909i | ||||
\(115\) | −0.139837 | + | 1.19639i | −0.0130399 | + | 0.111564i | ||||
\(116\) | 12.5162 | − | 5.64076i | 1.16210 | − | 0.523731i | ||||
\(117\) | −11.0114 | − | 11.8100i | −1.01801 | − | 1.09184i | ||||
\(118\) | 1.02198 | − | 20.3855i | 0.0940807 | − | 1.87663i | ||||
\(119\) | 0.273469 | + | 0.289860i | 0.0250689 | + | 0.0265715i | ||||
\(120\) | −6.23168 | − | 0.411586i | −0.568872 | − | 0.0375725i | ||||
\(121\) | 3.37432 | − | 1.69465i | 0.306756 | − | 0.154059i | ||||
\(122\) | −18.6125 | − | 9.15981i | −1.68509 | − | 0.829290i | ||||
\(123\) | 8.97882 | + | 4.21914i | 0.809593 | + | 0.380427i | ||||
\(124\) | 17.0228 | − | 8.89678i | 1.52869 | − | 0.798954i | ||||
\(125\) | −6.86262 | + | 8.17856i | −0.613812 | + | 0.731512i | ||||
\(126\) | 5.35847 | − | 1.96366i | 0.477370 | − | 0.174936i | ||||
\(127\) | 5.02534 | − | 4.21676i | 0.445927 | − | 0.374177i | −0.391995 | − | 0.919967i | \(-0.628215\pi\) |
0.837922 | + | 0.545790i | \(0.183770\pi\) | |||||||
\(128\) | −3.26181 | + | 10.8333i | −0.288306 | + | 0.957538i | ||||
\(129\) | −13.0662 | − | 1.95324i | −1.15041 | − | 0.171974i | ||||
\(130\) | 1.04854 | − | 9.64679i | 0.0919632 | − | 0.846079i | ||||
\(131\) | −1.40762 | − | 12.0429i | −0.122984 | − | 1.05220i | −0.903954 | − | 0.427629i | \(-0.859349\pi\) |
0.780970 | − | 0.624568i | \(-0.214725\pi\) | |||||||
\(132\) | 2.81146 | − | 8.87605i | 0.244706 | − | 0.772561i | ||||
\(133\) | −10.5544 | + | 0.614723i | −0.915181 | + | 0.0533032i | ||||
\(134\) | 9.29962 | − | 1.16328i | 0.803365 | − | 0.100492i | ||||
\(135\) | −4.98709 | + | 4.35977i | −0.429220 | + | 0.375230i | ||||
\(136\) | −0.522884 | + | 0.654771i | −0.0448369 | + | 0.0561462i | ||||
\(137\) | 15.3701 | − | 10.1091i | 1.31316 | − | 0.863677i | 0.316762 | − | 0.948505i | \(-0.397404\pi\) |
0.996396 | + | 0.0848278i | \(0.0270340\pi\) | |||||||
\(138\) | 2.09255 | − | 0.988901i | 0.178130 | − | 0.0841809i | ||||
\(139\) | −4.16414 | − | 1.79623i | −0.353198 | − | 0.152355i | 0.212086 | − | 0.977251i | \(-0.431974\pi\) |
−0.565284 | + | 0.824896i | \(0.691233\pi\) | |||||||
\(140\) | 2.99745 | + | 1.66653i | 0.253331 | + | 0.140848i | ||||
\(141\) | −0.569078 | − | 0.928727i | −0.0479250 | − | 0.0782129i | ||||
\(142\) | 0.0390516 | + | 4.82890i | 0.00327714 | + | 0.405232i | ||||
\(143\) | 13.5941 | + | 4.94783i | 1.13679 | + | 0.413758i | ||||
\(144\) | 5.66738 | + | 10.5774i | 0.472281 | + | 0.881448i | ||||
\(145\) | 8.22290 | − | 2.99289i | 0.682874 | − | 0.248546i | ||||
\(146\) | 1.65574 | + | 4.43712i | 0.137030 | + | 0.367219i | ||||
\(147\) | 8.95383 | + | 0.809943i | 0.738500 | + | 0.0668030i | ||||
\(148\) | 4.76122 | − | 13.7703i | 0.391370 | − | 1.13191i | ||||
\(149\) | 2.45852 | − | 3.73800i | 0.201410 | − | 0.306229i | −0.720633 | − | 0.693317i | \(-0.756149\pi\) |
0.922043 | + | 0.387088i | \(0.126519\pi\) | |||||||
\(150\) | 8.18546 | + | 1.15604i | 0.668340 | + | 0.0943903i | ||||
\(151\) | 5.11654 | − | 1.21264i | 0.416378 | − | 0.0986834i | −0.0170866 | − | 0.999854i | \(-0.505439\pi\) |
0.433464 | + | 0.901171i | \(0.357291\pi\) | |||||||
\(152\) | −4.39020 | − | 21.7925i | −0.356092 | − | 1.76761i | ||||
\(153\) | 0.0979766 | + | 0.883346i | 0.00792094 | + | 0.0714143i | ||||
\(154\) | −3.47853 | + | 3.74728i | −0.280308 | + | 0.301964i | ||||
\(155\) | 11.2417 | − | 4.84918i | 0.902952 | − | 0.389495i | ||||
\(156\) | −16.7925 | + | 8.10257i | −1.34447 | + | 0.648725i | ||||
\(157\) | 5.49389 | − | 1.64476i | 0.438460 | − | 0.131266i | −0.0599624 | − | 0.998201i | \(-0.519098\pi\) |
0.498422 | + | 0.866934i | \(0.333913\pi\) | |||||||
\(158\) | −4.65361 | − | 1.35229i | −0.370221 | − | 0.107582i | ||||
\(159\) | −2.59049 | − | 18.0559i | −0.205440 | − | 1.43193i | ||||
\(160\) | −2.58629 | + | 6.73168i | −0.204464 | + | 0.532186i | ||||
\(161\) | −1.27098 | −0.100167 | ||||||||
\(162\) | 12.1796 | + | 3.69545i | 0.956923 | + | 0.290342i | ||||
\(163\) | − | 7.97111i | − | 0.624346i | −0.950025 | − | 0.312173i | \(-0.898943\pi\) | ||
0.950025 | − | 0.312173i | \(-0.101057\pi\) | |||||||
\(164\) | 7.72541 | − | 8.45844i | 0.603253 | − | 0.660493i | ||||
\(165\) | 2.20735 | − | 5.50888i | 0.171842 | − | 0.428866i | ||||
\(166\) | −1.36337 | + | 4.69173i | −0.105818 | + | 0.364149i | ||||
\(167\) | 0.624372 | + | 2.08555i | 0.0483154 | + | 0.161385i | 0.978743 | − | 0.205092i | \(-0.0657493\pi\) |
−0.930427 | + | 0.366476i | \(0.880564\pi\) | |||||||
\(168\) | −0.332010 | − | 6.58143i | −0.0256151 | − | 0.507769i | ||||
\(169\) | −6.32533 | − | 14.6638i | −0.486564 | − | 1.12798i | ||||
\(170\) | −0.363370 | + | 0.391443i | −0.0278692 | + | 0.0300223i | ||||
\(171\) | −19.6232 | − | 13.0726i | −1.50062 | − | 0.999689i | ||||
\(172\) | −6.62513 | + | 13.7415i | −0.505161 | + | 1.04778i | ||||
\(173\) | −5.66495 | − | 23.9023i | −0.430698 | − | 1.81726i | −0.563499 | − | 0.826117i | \(-0.690545\pi\) |
0.132801 | − | 0.991143i | \(-0.457603\pi\) | |||||||
\(174\) | −13.2426 | − | 10.3607i | −1.00392 | − | 0.785440i | ||||
\(175\) | −3.79283 | − | 2.49458i | −0.286711 | − | 0.188573i | ||||
\(176\) | −8.82678 | − | 6.13781i | −0.665343 | − | 0.462655i | ||||
\(177\) | −22.6872 | + | 10.4980i | −1.70528 | + | 0.789076i | ||||
\(178\) | 7.23174 | + | 19.3800i | 0.542042 | + | 1.45259i | ||||
\(179\) | 4.25717 | + | 11.6965i | 0.318196 | + | 0.874235i | 0.990933 | + | 0.134354i | \(0.0428960\pi\) |
−0.672738 | + | 0.739881i | \(0.734882\pi\) | |||||||
\(180\) | 3.10161 | + | 6.99178i | 0.231180 | + | 0.521136i | ||||
\(181\) | 7.70793 | − | 21.1774i | 0.572926 | − | 1.57410i | −0.226931 | − | 0.973911i | \(-0.572869\pi\) |
0.799857 | − | 0.600191i | \(-0.204909\pi\) | |||||||
\(182\) | 10.2386 | − | 0.0828002i | 0.758936 | − | 0.00613756i | ||||
\(183\) | 0.664128 | + | 25.3978i | 0.0490937 | + | 1.87746i | ||||
\(184\) | −0.374559 | − | 2.64612i | −0.0276128 | − | 0.195075i | ||||
\(185\) | 3.67844 | − | 8.52758i | 0.270444 | − | 0.626960i | ||||
\(186\) | −19.3391 | − | 13.3937i | −1.41801 | − | 0.982075i | ||||
\(187\) | −0.437552 | − | 0.665265i | −0.0319970 | − | 0.0486490i | ||||
\(188\) | −1.21896 | + | 0.309804i | −0.0889019 | + | 0.0225948i | ||||
\(189\) | −5.18010 | − | 4.69258i | −0.376797 | − | 0.341335i | ||||
\(190\) | −1.75876 | − | 14.0601i | −0.127594 | − | 1.02003i | ||||
\(191\) | 0.796301 | + | 13.6720i | 0.0576183 | + | 0.989269i | 0.895963 | + | 0.444128i | \(0.146487\pi\) |
−0.838345 | + | 0.545140i | \(0.816476\pi\) | |||||||
\(192\) | 13.6044 | − | 2.63078i | 0.981811 | − | 0.189860i | ||||
\(193\) | 10.1980 | − | 1.19197i | 0.734067 | − | 0.0858001i | 0.259158 | − | 0.965835i | \(-0.416555\pi\) |
0.474909 | + | 0.880035i | \(0.342481\pi\) | |||||||
\(194\) | −0.130225 | + | 1.19810i | −0.00934964 | + | 0.0860184i | ||||
\(195\) | −11.0577 | + | 4.35525i | −0.791855 | + | 0.311886i | ||||
\(196\) | 3.95708 | − | 9.59745i | 0.282649 | − | 0.685532i | ||||
\(197\) | 1.80459 | + | 2.15062i | 0.128572 | + | 0.153226i | 0.826490 | − | 0.562952i | \(-0.190334\pi\) |
−0.697918 | + | 0.716178i | \(0.745890\pi\) | |||||||
\(198\) | −11.2256 | + | 2.00479i | −0.797767 | + | 0.142474i | ||||
\(199\) | −8.60276 | − | 7.21857i | −0.609834 | − | 0.511711i | 0.284756 | − | 0.958600i | \(-0.408087\pi\) |
−0.894589 | + | 0.446889i | \(0.852532\pi\) | |||||||
\(200\) | 4.07585 | − | 8.63163i | 0.288206 | − | 0.610349i | ||||
\(201\) | −6.55603 | − | 9.42192i | −0.462426 | − | 0.664571i | ||||
\(202\) | −7.47938 | − | 3.68085i | −0.526247 | − | 0.258984i | ||||
\(203\) | 4.14394 | + | 8.25125i | 0.290847 | + | 0.579124i | ||||
\(204\) | 1.00771 | + | 0.194214i | 0.0705538 | + | 0.0135977i | ||||
\(205\) | 5.31110 | − | 5.01076i | 0.370943 | − | 0.349967i | ||||
\(206\) | −8.08991 | − | 0.405569i | −0.563651 | − | 0.0282573i | ||||
\(207\) | −2.26370 | − | 1.70608i | −0.157338 | − | 0.118581i | ||||
\(208\) | 3.18971 | + | 21.2919i | 0.221166 | + | 1.47632i | ||||
\(209\) | 20.9819 | + | 2.45243i | 1.45135 | + | 0.169638i | ||||
\(210\) | 0.100579 | − | 4.19916i | 0.00694064 | − | 0.289770i | ||||
\(211\) | −6.25310 | − | 5.89949i | −0.430481 | − | 0.406138i | 0.440267 | − | 0.897867i | \(-0.354884\pi\) |
−0.870748 | + | 0.491729i | \(0.836365\pi\) | |||||||
\(212\) | −20.7991 | − | 3.32154i | −1.42849 | − | 0.228124i | ||||
\(213\) | 5.21408 | − | 2.79161i | 0.357263 | − | 0.191278i | ||||
\(214\) | 2.70640 | − | 2.30849i | 0.185005 | − | 0.157805i | ||||
\(215\) | −4.86185 | + | 8.42097i | −0.331576 | + | 0.574306i | ||||
\(216\) | 8.24314 | − | 12.1676i | 0.560875 | − | 0.827901i | ||||
\(217\) | 6.45918 | + | 11.1876i | 0.438478 | + | 0.759466i | ||||
\(218\) | 14.7393 | + | 5.23007i | 0.998271 | + | 0.354225i | ||||
\(219\) | 3.86881 | − | 4.32164i | 0.261430 | − | 0.292029i | ||||
\(220\) | −5.32007 | − | 4.31939i | −0.358679 | − | 0.291213i | ||||
\(221\) | −0.367728 | + | 1.55157i | −0.0247361 | + | 0.104370i | ||||
\(222\) | −17.6429 | + | 2.67702i | −1.18411 | + | 0.179670i | ||||
\(223\) | −1.88968 | + | 2.53828i | −0.126542 | + | 0.169976i | −0.860879 | − | 0.508809i | \(-0.830086\pi\) |
0.734337 | + | 0.678785i | \(0.237493\pi\) | |||||||
\(224\) | −7.37184 | − | 1.88590i | −0.492552 | − | 0.126007i | ||||
\(225\) | −3.40670 | − | 9.53424i | −0.227113 | − | 0.635616i | ||||
\(226\) | 5.11400 | − | 7.91412i | 0.340178 | − | 0.526440i | ||||
\(227\) | 26.6276 | + | 7.97179i | 1.76734 | + | 0.529107i | 0.994429 | − | 0.105409i | \(-0.0336153\pi\) |
0.772910 | + | 0.634516i | \(0.218800\pi\) | |||||||
\(228\) | −21.1317 | + | 17.1679i | −1.39948 | + | 1.13697i | ||||
\(229\) | 22.4509 | + | 1.30761i | 1.48359 | + | 0.0864095i | 0.780709 | − | 0.624894i | \(-0.214858\pi\) |
0.702885 | + | 0.711304i | \(0.251895\pi\) | |||||||
\(230\) | −0.112797 | − | 1.69972i | −0.00743759 | − | 0.112076i | ||||
\(231\) | 6.04389 | + | 1.63855i | 0.397659 | + | 0.107809i | ||||
\(232\) | −15.9575 | + | 11.0591i | −1.04766 | + | 0.726066i | ||||
\(233\) | −4.52178 | + | 25.6443i | −0.296232 | + | 1.68001i | 0.365922 | + | 0.930645i | \(0.380754\pi\) |
−0.662154 | + | 0.749368i | \(0.730358\pi\) | |||||||
\(234\) | 18.3467 | + | 13.5961i | 1.19936 | + | 0.888807i | ||||
\(235\) | −0.789493 | + | 0.139209i | −0.0515009 | + | 0.00908099i | ||||
\(236\) | 3.81434 | + | 28.6125i | 0.248293 | + | 1.86251i | ||||
\(237\) | 1.18308 | + | 5.81614i | 0.0768495 | + | 0.377799i | ||||
\(238\) | −0.454758 | − | 0.332873i | −0.0294776 | − | 0.0215769i | ||||
\(239\) | 3.84462 | + | 5.16423i | 0.248688 | + | 0.334046i | 0.908885 | − | 0.417046i | \(-0.136935\pi\) |
−0.660197 | + | 0.751092i | \(0.729527\pi\) | |||||||
\(240\) | 8.77209 | − | 1.02809i | 0.566236 | − | 0.0663632i | ||||
\(241\) | 14.8792 | + | 7.47262i | 0.958455 | + | 0.481354i | 0.858035 | − | 0.513591i | \(-0.171685\pi\) |
0.100420 | + | 0.994945i | \(0.467981\pi\) | |||||||
\(242\) | −4.25742 | + | 3.22337i | −0.273677 | + | 0.207206i | ||||
\(243\) | −2.92707 | − | 15.3112i | −0.187772 | − | 0.982213i | ||||
\(244\) | 28.2368 | + | 7.95827i | 1.80768 | + | 0.509476i | ||||
\(245\) | 2.96972 | − | 5.91319i | 0.189728 | − | 0.377780i | ||||
\(246\) | −13.5704 | − | 3.56151i | −0.865219 | − | 0.227074i | ||||
\(247\) | −25.2618 | − | 33.9325i | −1.60737 | − | 2.15907i | ||||
\(248\) | −21.3886 | + | 16.7447i | −1.35818 | + | 1.06329i | ||||
\(249\) | 5.86378 | − | 1.19277i | 0.371602 | − | 0.0755890i | ||||
\(250\) | 7.44333 | − | 13.1364i | 0.470757 | − | 0.830820i | ||||
\(251\) | −10.7356 | + | 1.89297i | −0.677622 | + | 0.119483i | −0.501859 | − | 0.864949i | \(-0.667350\pi\) |
−0.175763 | + | 0.984433i | \(0.556239\pi\) | |||||||
\(252\) | −6.94768 | + | 4.10707i | −0.437663 | + | 0.258721i | ||||
\(253\) | 2.50100 | + | 0.440994i | 0.157237 | + | 0.0277251i | ||||
\(254\) | −5.90574 | + | 7.15490i | −0.370559 | + | 0.448939i | ||||
\(255\) | 0.631349 | + | 0.171164i | 0.0395366 | + | 0.0107187i | ||||
\(256\) | 1.75387 | − | 15.9036i | 0.109617 | − | 0.993974i | ||||
\(257\) | 1.30036 | − | 22.3263i | 0.0811141 | − | 1.39268i | −0.674798 | − | 0.738003i | \(-0.735769\pi\) |
0.755912 | − | 0.654673i | \(-0.227194\pi\) | |||||||
\(258\) | 18.6727 | − | 0.639417i | 1.16251 | − | 0.0398083i | ||||
\(259\) | 9.38779 | + | 2.81052i | 0.583329 | + | 0.174637i | ||||
\(260\) | 1.01938 | + | 13.6851i | 0.0632194 | + | 0.848711i | ||||
\(261\) | −3.69532 | + | 20.2585i | −0.228734 | + | 1.25397i | ||||
\(262\) | 5.05056 | + | 16.3866i | 0.312025 | + | 1.01237i | ||||
\(263\) | −6.31097 | + | 8.47711i | −0.389151 | + | 0.522721i | −0.952924 | − | 0.303209i | \(-0.901942\pi\) |
0.563773 | + | 0.825930i | \(0.309349\pi\) | |||||||
\(264\) | −1.63025 | + | 13.0660i | −0.100335 | + | 0.804154i | ||||
\(265\) | −13.0635 | − | 3.09612i | −0.802487 | − | 0.190193i | ||||
\(266\) | 14.5201 | − | 3.56558i | 0.890282 | − | 0.218620i | ||||
\(267\) | 16.8977 | − | 18.8756i | 1.03413 | − | 1.15517i | ||||
\(268\) | −12.6342 | + | 4.00619i | −0.771756 | + | 0.244717i | ||||
\(269\) | −9.42326 | + | 5.44052i | −0.574546 | + | 0.331714i | −0.758963 | − | 0.651134i | \(-0.774294\pi\) |
0.184417 | + | 0.982848i | \(0.440960\pi\) | |||||||
\(270\) | 5.81581 | − | 7.34396i | 0.353939 | − | 0.446939i | ||||
\(271\) | 3.27538 | − | 5.67313i | 0.198965 | − | 0.344618i | −0.749228 | − | 0.662312i | \(-0.769575\pi\) |
0.948193 | + | 0.317694i | \(0.102909\pi\) | |||||||
\(272\) | 0.559008 | − | 1.04488i | 0.0338948 | − | 0.0633552i | ||||
\(273\) | −5.91899 | − | 11.0553i | −0.358234 | − | 0.669096i | ||||
\(274\) | −18.7789 | + | 18.0062i | −1.13447 | + | 1.08779i | ||||
\(275\) | 6.59787 | + | 6.22477i | 0.397867 | + | 0.375368i | ||||
\(276\) | −2.65612 | + | 1.91269i | −0.159880 | + | 0.115131i | ||||
\(277\) | 0.357153 | − | 3.05564i | 0.0214593 | − | 0.183596i | −0.978258 | − | 0.207394i | \(-0.933502\pi\) |
0.999717 | + | 0.0237982i | \(0.00757592\pi\) | |||||||
\(278\) | 6.25238 | + | 1.42854i | 0.374993 | + | 0.0856781i | ||||
\(279\) | −3.51331 | + | 28.5962i | −0.210337 | + | 1.71201i | ||||
\(280\) | −4.59657 | − | 1.54781i | −0.274697 | − | 0.0924991i | ||||
\(281\) | −10.4535 | − | 11.0801i | −0.623604 | − | 0.660981i | 0.336155 | − | 0.941807i | \(-0.390873\pi\) |
−0.959759 | + | 0.280825i | \(0.909392\pi\) | |||||||
\(282\) | 1.02994 | + | 1.14542i | 0.0613320 | + | 0.0682089i | ||||
\(283\) | 10.5745 | + | 21.0555i | 0.628586 | + | 1.25162i | 0.952214 | + | 0.305433i | \(0.0988013\pi\) |
−0.323627 | + | 0.946185i | \(0.604902\pi\) | |||||||
\(284\) | −1.29452 | − | 6.70551i | −0.0768155 | − | 0.397899i | ||||
\(285\) | −14.2451 | + | 9.91209i | −0.843805 | + | 0.587142i | ||||
\(286\) | −20.1760 | − | 3.38957i | −1.19303 | − | 0.200429i | ||||
\(287\) | 5.90205 | + | 4.95240i | 0.348387 | + | 0.292331i | ||||
\(288\) | −10.5982 | − | 13.2544i | −0.624505 | − | 0.781021i | ||||
\(289\) | −12.9555 | + | 10.8710i | −0.762090 | + | 0.639469i | ||||
\(290\) | −10.6669 | + | 6.27409i | −0.626382 | + | 0.368427i | ||||
\(291\) | 1.37332 | − | 0.540908i | 0.0805056 | − | 0.0317086i | ||||
\(292\) | −3.44222 | − | 5.74545i | −0.201440 | − | 0.336227i | ||||
\(293\) | −1.00696 | − | 8.61512i | −0.0588274 | − | 0.503301i | −0.990244 | − | 0.139345i | \(-0.955500\pi\) |
0.931416 | − | 0.363955i | \(-0.118574\pi\) | |||||||
\(294\) | −12.6601 | + | 1.17323i | −0.738351 | + | 0.0684241i | ||||
\(295\) | 1.06981 | + | 18.3679i | 0.0622868 | + | 1.06942i | ||||
\(296\) | −3.08478 | + | 20.3732i | −0.179299 | + | 1.18417i | ||||
\(297\) | 8.56506 | + | 11.0313i | 0.496995 | + | 0.640099i | ||||
\(298\) | −2.45902 | + | 5.82984i | −0.142447 | + | 0.337714i | ||||
\(299\) | −2.79461 | − | 4.24899i | −0.161616 | − | 0.245726i | ||||
\(300\) | −11.6804 | + | 0.494573i | −0.674368 | + | 0.0285542i | ||||
\(301\) | −9.42103 | − | 4.06384i | −0.543019 | − | 0.234236i | ||||
\(302\) | −6.80411 | + | 3.00050i | −0.391533 | + | 0.172659i | ||||
\(303\) | 0.266878 | + | 10.2061i | 0.0153318 | + | 0.586322i | ||||
\(304\) | 11.7024 | + | 29.1793i | 0.671180 | + | 1.67355i | ||||
\(305\) | 17.5717 | + | 6.39559i | 1.00615 | + | 0.366210i | ||||
\(306\) | −0.363126 | − | 1.20330i | −0.0207585 | − | 0.0687883i | ||||
\(307\) | −7.00312 | − | 19.2409i | −0.399689 | − | 1.09814i | −0.962436 | − | 0.271508i | \(-0.912478\pi\) |
0.562747 | − | 0.826629i | \(-0.309744\pi\) | |||||||
\(308\) | 3.87517 | − | 6.10472i | 0.220808 | − | 0.347849i | ||||
\(309\) | 4.16609 | + | 9.00336i | 0.237001 | + | 0.512183i | ||||
\(310\) | −14.3883 | + | 9.63094i | −0.817202 | + | 0.547000i | ||||
\(311\) | 8.41077 | + | 5.53185i | 0.476931 | + | 0.313683i | 0.765116 | − | 0.643892i | \(-0.222681\pi\) |
−0.288185 | + | 0.957575i | \(0.593052\pi\) | |||||||
\(312\) | 21.2722 | − | 15.5810i | 1.20430 | − | 0.882103i | ||||
\(313\) | −3.43018 | + | 0.812968i | −0.193885 | + | 0.0459517i | −0.326411 | − | 0.945228i | \(-0.605839\pi\) |
0.132526 | + | 0.991180i | \(0.457691\pi\) | |||||||
\(314\) | −7.21791 | + | 3.69836i | −0.407330 | + | 0.208711i | ||||
\(315\) | −4.61071 | + | 2.28167i | −0.259784 | + | 0.128558i | ||||
\(316\) | 6.81907 | + | 0.685439i | 0.383603 | + | 0.0385590i | ||||
\(317\) | −8.25674 | + | 3.56161i | −0.463745 | + | 0.200040i | −0.615115 | − | 0.788437i | \(-0.710891\pi\) |
0.151370 | + | 0.988477i | \(0.451631\pi\) | |||||||
\(318\) | 8.23990 | + | 24.4450i | 0.462070 | + | 1.37081i | ||||
\(319\) | −5.29137 | − | 17.6744i | −0.296260 | − | 0.989577i | ||||
\(320\) | 1.86784 | − | 10.0260i | 0.104416 | − | 0.560468i | ||||
\(321\) | −4.04410 | − | 1.62043i | −0.225720 | − | 0.0904435i | ||||
\(322\) | 1.76755 | − | 0.326427i | 0.0985018 | − | 0.0181911i | ||||
\(323\) | 2.32845i | 0.129558i | ||||||||
\(324\) | −17.8873 | − | 2.01115i | −0.993739 | − | 0.111731i | ||||
\(325\) | − | 18.1647i | − | 1.00760i | ||||||
\(326\) | 2.04722 | + | 11.0854i | 0.113385 | + | 0.613964i | ||||
\(327\) | −2.72028 | − | 18.9605i | −0.150432 | − | 1.04852i | ||||
\(328\) | −8.57133 | + | 13.7472i | −0.473272 | + | 0.759064i | ||||
\(329\) | −0.242607 | − | 0.810363i | −0.0133753 | − | 0.0446767i | ||||
\(330\) | −1.65491 | + | 8.22810i | −0.0910996 | + | 0.452942i | ||||
\(331\) | −4.04572 | + | 1.74515i | −0.222373 | + | 0.0959223i | −0.504352 | − | 0.863498i | \(-0.668268\pi\) |
0.281979 | + | 0.959421i | \(0.409009\pi\) | |||||||
\(332\) | 0.691054 | − | 6.87492i | 0.0379265 | − | 0.377311i | ||||
\(333\) | 12.9476 | + | 17.6072i | 0.709523 | + | 0.964871i | ||||
\(334\) | −1.40394 | − | 2.74001i | −0.0768204 | − | 0.149927i | ||||
\(335\) | −8.22052 | + | 1.94830i | −0.449135 | + | 0.106447i | ||||
\(336\) | 2.15204 | + | 9.06751i | 0.117403 | + | 0.494673i | ||||
\(337\) | −9.32661 | − | 6.13421i | −0.508053 | − | 0.334152i | 0.269467 | − | 0.963010i | \(-0.413152\pi\) |
−0.777520 | + | 0.628858i | \(0.783523\pi\) | |||||||
\(338\) | 12.5627 | + | 18.7683i | 0.683322 | + | 1.02086i | ||||
\(339\) | −11.4934 | − | 1.03967i | −0.624236 | − | 0.0564670i | ||||
\(340\) | 0.404803 | − | 0.637704i | 0.0219535 | − | 0.0345843i | ||||
\(341\) | −8.82841 | − | 24.2558i | −0.478085 | − | 1.31353i | ||||
\(342\) | 30.6473 | + | 13.1402i | 1.65722 | + | 0.710543i | ||||
\(343\) | 15.4091 | + | 5.60846i | 0.832014 | + | 0.302828i | ||||
\(344\) | 5.68432 | − | 20.8117i | 0.306478 | − | 1.12209i | ||||
\(345\) | −1.77891 | + | 1.09003i | −0.0957733 | + | 0.0586851i | ||||
\(346\) | 14.0171 | + | 31.7859i | 0.753562 | + | 1.70882i | ||||
\(347\) | 11.3666 | + | 4.90308i | 0.610192 | + | 0.263211i | 0.678672 | − | 0.734441i | \(-0.262556\pi\) |
−0.0684800 | + | 0.997652i | \(0.521815\pi\) | |||||||
\(348\) | 21.0773 | + | 11.0075i | 1.12986 | + | 0.590061i | ||||
\(349\) | 12.7614 | + | 19.4027i | 0.683101 | + | 1.03860i | 0.996046 | + | 0.0888336i | \(0.0283140\pi\) |
−0.312945 | + | 0.949771i | \(0.601316\pi\) | |||||||
\(350\) | 5.91536 | + | 2.49509i | 0.316189 | + | 0.133368i | ||||
\(351\) | 4.29778 | − | 27.6354i | 0.229398 | − | 1.47507i | ||||
\(352\) | 13.8517 | + | 6.26884i | 0.738301 | + | 0.334131i | ||||
\(353\) | 0.786138 | + | 13.4975i | 0.0418419 | + | 0.718398i | 0.952369 | + | 0.304948i | \(0.0986391\pi\) |
−0.910527 | + | 0.413449i | \(0.864324\pi\) | |||||||
\(354\) | 28.8549 | − | 20.4263i | 1.53362 | − | 1.08564i | ||||
\(355\) | −0.505357 | − | 4.32360i | −0.0268216 | − | 0.229473i | ||||
\(356\) | −15.0345 | − | 25.0943i | −0.796828 | − | 1.33000i | ||||
\(357\) | −0.102047 | + | 0.682642i | −0.00540091 | + | 0.0361292i | ||||
\(358\) | −8.92444 | − | 15.1729i | −0.471671 | − | 0.801911i | ||||
\(359\) | 7.88204 | − | 6.61382i | 0.415998 | − | 0.349064i | −0.410640 | − | 0.911798i | \(-0.634695\pi\) |
0.826638 | + | 0.562733i | \(0.190250\pi\) | |||||||
\(360\) | −6.10910 | − | 8.92686i | −0.321978 | − | 0.470487i | ||||
\(361\) | −32.7665 | − | 27.4943i | −1.72455 | − | 1.44707i | ||||
\(362\) | −5.28041 | + | 31.4309i | −0.277532 | + | 1.65197i | ||||
\(363\) | 5.91923 | + | 2.78144i | 0.310679 | + | 0.145988i | ||||
\(364\) | −14.2175 | + | 2.74473i | −0.745201 | + | 0.143863i | ||||
\(365\) | −1.91598 | − | 3.81504i | −0.100287 | − | 0.199688i | ||||
\(366\) | −7.44652 | − | 35.1501i | −0.389236 | − | 1.83732i | ||||
\(367\) | −10.7619 | − | 11.4070i | −0.561769 | − | 0.595440i | 0.382768 | − | 0.923844i | \(-0.374971\pi\) |
−0.944537 | + | 0.328404i | \(0.893489\pi\) | |||||||
\(368\) | 1.20050 | + | 3.58376i | 0.0625805 | + | 0.186816i | ||||
\(369\) | 3.86414 | + | 16.7430i | 0.201159 | + | 0.871608i | ||||
\(370\) | −2.92545 | + | 12.8040i | −0.152087 | + | 0.665649i | ||||
\(371\) | 1.64458 | − | 14.0703i | 0.0853824 | − | 0.730493i | ||||
\(372\) | 30.3347 | + | 13.6597i | 1.57278 | + | 0.708225i | ||||
\(373\) | 14.2530 | + | 13.4470i | 0.737990 | + | 0.696258i | 0.960378 | − | 0.278700i | \(-0.0899036\pi\) |
−0.222388 | + | 0.974958i | \(0.571385\pi\) | |||||||
\(374\) | 0.779362 | + | 0.812806i | 0.0402999 | + | 0.0420292i | ||||
\(375\) | −18.4825 | − | 0.592281i | −0.954432 | − | 0.0305853i | ||||
\(376\) | 1.61564 | − | 0.743909i | 0.0833202 | − | 0.0383642i | ||||
\(377\) | −18.4730 | + | 31.9962i | −0.951407 | + | 1.64789i | ||||
\(378\) | 8.40914 | + | 5.19555i | 0.432520 | + | 0.267230i | ||||
\(379\) | −1.65563 | + | 0.955881i | −0.0850442 | + | 0.0491003i | −0.541919 | − | 0.840431i | \(-0.682302\pi\) |
0.456875 | + | 0.889531i | \(0.348969\pi\) | |||||||
\(380\) | 6.05698 | + | 19.1017i | 0.310716 | + | 0.979897i | ||||
\(381\) | 11.1209 | + | 2.33046i | 0.569741 | + | 0.119393i | ||||
\(382\) | −4.61879 | − | 18.8090i | −0.236318 | − | 0.962355i | ||||
\(383\) | 6.79594 | + | 1.61067i | 0.347257 | + | 0.0823013i | 0.400543 | − | 0.916278i | \(-0.368822\pi\) |
−0.0532865 | + | 0.998579i | \(0.516970\pi\) | |||||||
\(384\) | −18.2439 | + | 7.15263i | −0.931005 | + | 0.365006i | ||||
\(385\) | 2.75227 | − | 3.69694i | 0.140269 | − | 0.188414i | ||||
\(386\) | −13.8762 | + | 4.27683i | −0.706279 | + | 0.217685i | ||||
\(387\) | −11.3244 | − | 19.8841i | −0.575653 | − | 1.01077i | ||||
\(388\) | −0.126604 | − | 1.69964i | −0.00642733 | − | 0.0862860i | ||||
\(389\) | 3.88036 | + | 1.16170i | 0.196742 | + | 0.0589007i | 0.383658 | − | 0.923475i | \(-0.374664\pi\) |
−0.186916 | + | 0.982376i | \(0.559849\pi\) | |||||||
\(390\) | 14.2593 | − | 8.89678i | 0.722047 | − | 0.450506i | ||||
\(391\) | −0.0162760 | + | 0.279449i | −0.000823114 | + | 0.0141323i | ||||
\(392\) | −3.03819 | + | 14.3634i | −0.153452 | + | 0.725463i | ||||
\(393\) | 14.8936 | − | 14.8061i | 0.751284 | − | 0.746871i | ||||
\(394\) | −3.06198 | − | 2.52739i | −0.154260 | − | 0.127328i | ||||
\(395\) | 4.30204 | + | 0.758566i | 0.216459 | + | 0.0381676i | ||||
\(396\) | 15.0965 | − | 5.67113i | 0.758627 | − | 0.284985i | ||||
\(397\) | 4.57272 | − | 0.806295i | 0.229498 | − | 0.0404668i | −0.0577161 | − | 0.998333i | \(-0.518382\pi\) |
0.287215 | + | 0.957866i | \(0.407271\pi\) | |||||||
\(398\) | 13.8178 | + | 7.82940i | 0.692623 | + | 0.392452i | ||||
\(399\) | −12.1332 | − | 13.7151i | −0.607420 | − | 0.686614i | ||||
\(400\) | −3.45140 | + | 13.0508i | −0.172570 | + | 0.652539i | ||||
\(401\) | −1.60090 | − | 2.15038i | −0.0799451 | − | 0.107385i | 0.760352 | − | 0.649512i | \(-0.225027\pi\) |
−0.840297 | + | 0.542127i | \(0.817619\pi\) | |||||||
\(402\) | 11.5373 | + | 11.4193i | 0.575427 | + | 0.569541i | ||||
\(403\) | −23.1988 | + | 46.1926i | −1.15562 | + | 2.30102i | ||||
\(404\) | 11.3469 | + | 3.19802i | 0.564530 | + | 0.159107i | ||||
\(405\) | −11.2747 | − | 2.12531i | −0.560245 | − | 0.105607i | ||||
\(406\) | −7.88213 | − | 10.4107i | −0.391184 | − | 0.516675i | ||||
\(407\) | −17.4979 | − | 8.78776i | −0.867337 | − | 0.435593i | ||||
\(408\) | −1.45130 | − | 0.0112825i | −0.0718500 | − | 0.000558566i | ||||
\(409\) | 18.3248 | + | 24.6144i | 0.906101 | + | 1.21711i | 0.975607 | + | 0.219524i | \(0.0704504\pi\) |
−0.0695057 | + | 0.997582i | \(0.522142\pi\) | |||||||
\(410\) | −6.09921 | + | 8.33250i | −0.301219 | + | 0.411513i | ||||
\(411\) | 30.2168 | + | 10.1116i | 1.49049 | + | 0.498771i | ||||
\(412\) | 11.3548 | − | 1.51371i | 0.559410 | − | 0.0745752i | ||||
\(413\) | −19.1192 | + | 3.37123i | −0.940793 | + | 0.165887i | ||||
\(414\) | 3.58629 | + | 1.79125i | 0.176257 | + | 0.0880354i | ||||
\(415\) | 0.764779 | − | 4.33728i | 0.0375415 | − | 0.212909i | ||||
\(416\) | −9.90431 | − | 28.7913i | −0.485599 | − | 1.41161i | ||||
\(417\) | −2.01064 | − | 7.59321i | −0.0984614 | − | 0.371841i | ||||
\(418\) | −29.8093 | + | 1.97820i | −1.45802 | + | 0.0967568i | ||||
\(419\) | −12.9433 | − | 0.753862i | −0.632322 | − | 0.0368286i | −0.261009 | − | 0.965336i | \(-0.584055\pi\) |
−0.371313 | + | 0.928508i | \(0.621092\pi\) | |||||||
\(420\) | 0.938597 | + | 5.86560i | 0.0457988 | + | 0.286212i | ||||
\(421\) | −4.09909 | − | 1.22719i | −0.199778 | − | 0.0598095i | 0.185351 | − | 0.982672i | \(-0.440658\pi\) |
−0.385129 | + | 0.922863i | \(0.625843\pi\) | |||||||
\(422\) | 10.2113 | + | 6.59842i | 0.497080 | + | 0.321206i | ||||
\(423\) | 0.655679 | − | 1.76896i | 0.0318802 | − | 0.0860100i | ||||
\(424\) | 29.7783 | − | 0.722584i | 1.44616 | − | 0.0350918i | ||||
\(425\) | −0.597050 | + | 0.801977i | −0.0289612 | + | 0.0389016i | ||||
\(426\) | −6.53423 | + | 5.22142i | −0.316585 | + | 0.252979i | ||||
\(427\) | −4.55030 | + | 19.1992i | −0.220204 | + | 0.929115i | ||||
\(428\) | −3.17089 | + | 3.90549i | −0.153271 | + | 0.188779i | ||||
\(429\) | 7.81135 | + | 23.8080i | 0.377136 | + | 1.14946i | ||||
\(430\) | 4.59860 | − | 12.9597i | 0.221764 | − | 0.624972i | ||||
\(431\) | −14.3542 | − | 24.8621i | −0.691415 | − | 1.19757i | −0.971374 | − | 0.237555i | \(-0.923654\pi\) |
0.279959 | − | 0.960012i | \(-0.409679\pi\) | |||||||
\(432\) | −8.33870 | + | 19.0385i | −0.401196 | + | 0.915992i | ||||
\(433\) | −5.97611 | + | 10.3509i | −0.287194 | + | 0.497434i | −0.973139 | − | 0.230219i | \(-0.926056\pi\) |
0.685945 | + | 0.727653i | \(0.259389\pi\) | |||||||
\(434\) | −11.8561 | − | 13.8997i | −0.569110 | − | 0.667206i | ||||
\(435\) | 12.8765 | + | 7.99479i | 0.617380 | + | 0.383321i | ||||
\(436\) | −21.8411 | − | 3.48795i | −1.04600 | − | 0.167042i | ||||
\(437\) | −5.40171 | − | 5.09625i | −0.258399 | − | 0.243787i | ||||
\(438\) | −4.27041 | + | 7.00372i | −0.204048 | + | 0.334651i | ||||
\(439\) | −34.5997 | − | 4.04413i | −1.65136 | − | 0.193016i | −0.761150 | − | 0.648576i | \(-0.775365\pi\) |
−0.890205 | + | 0.455560i | \(0.849439\pi\) | |||||||
\(440\) | 8.50795 | + | 4.64061i | 0.405601 | + | 0.221232i | ||||
\(441\) | 8.48005 | + | 13.0602i | 0.403812 | + | 0.621916i | ||||
\(442\) | 0.112909 | − | 2.25220i | 0.00537053 | − | 0.107126i | ||||
\(443\) | 23.7195 | − | 22.3782i | 1.12695 | − | 1.06322i | 0.129515 | − | 0.991577i | \(-0.458658\pi\) |
0.997431 | − | 0.0716406i | \(-0.0228235\pi\) | |||||||
\(444\) | 23.8483 | − | 8.25414i | 1.13179 | − | 0.391724i | ||||
\(445\) | −8.36842 | − | 16.6629i | −0.396701 | − | 0.789897i | ||||
\(446\) | 1.97606 | − | 4.01530i | 0.0935692 | − | 0.190130i | ||||
\(447\) | 7.72171 | − | 0.652648i | 0.365225 | − | 0.0308692i | ||||
\(448\) | 10.7364 | + | 0.729408i | 0.507245 | + | 0.0344613i | ||||
\(449\) | −14.0360 | − | 11.7776i | −0.662401 | − | 0.555821i | 0.248404 | − | 0.968656i | \(-0.420094\pi\) |
−0.910805 | + | 0.412836i | \(0.864538\pi\) | |||||||
\(450\) | 7.18637 | + | 12.3843i | 0.338769 | + | 0.583801i | ||||
\(451\) | −9.89554 | − | 11.7930i | −0.465963 | − | 0.555313i | ||||
\(452\) | −5.07943 | + | 12.3196i | −0.238916 | + | 0.579464i | ||||
\(453\) | 7.12747 | + | 5.66988i | 0.334878 | + | 0.266394i | ||||
\(454\) | −39.0784 | − | 4.24756i | −1.83404 | − | 0.199348i | ||||
\(455\) | −9.16723 | + | 1.07150i | −0.429767 | + | 0.0502325i | ||||
\(456\) | 24.9785 | − | 29.3026i | 1.16973 | − | 1.37222i | ||||
\(457\) | 0.178962 | + | 3.07266i | 0.00837149 | + | 0.143733i | 0.999904 | + | 0.0138725i | \(0.00441588\pi\) |
−0.991532 | + | 0.129860i | \(0.958547\pi\) | |||||||
\(458\) | −31.5582 | + | 3.94756i | −1.47462 | + | 0.184458i | ||||
\(459\) | −1.09808 | + | 1.07885i | −0.0512542 | + | 0.0503562i | ||||
\(460\) | 0.593407 | + | 2.33483i | 0.0276677 | + | 0.108862i | ||||
\(461\) | −12.3833 | − | 18.8279i | −0.576749 | − | 0.876905i | 0.422821 | − | 0.906213i | \(-0.361040\pi\) |
−0.999570 | + | 0.0293084i | \(0.990670\pi\) | |||||||
\(462\) | −8.82605 | − | 0.726476i | −0.410625 | − | 0.0337987i | ||||
\(463\) | 10.7072 | − | 24.8220i | 0.497603 | − | 1.15357i | −0.465647 | − | 0.884970i | \(-0.654178\pi\) |
0.963251 | − | 0.268604i | \(-0.0865623\pi\) | |||||||
\(464\) | 19.3517 | − | 19.4782i | 0.898380 | − | 0.904255i | ||||
\(465\) | 18.6353 | + | 10.1190i | 0.864191 | + | 0.469258i | ||||
\(466\) | −0.297804 | − | 36.8248i | −0.0137955 | − | 1.70587i | ||||
\(467\) | −13.0145 | + | 35.7571i | −0.602240 | + | 1.65464i | 0.144483 | + | 0.989507i | \(0.453848\pi\) |
−0.746724 | + | 0.665134i | \(0.768374\pi\) | |||||||
\(468\) | −29.0066 | − | 14.1961i | −1.34083 | − | 0.656215i | ||||
\(469\) | −3.04888 | − | 8.37672i | −0.140784 | − | 0.386801i | ||||
\(470\) | 1.06219 | − | 0.396363i | 0.0489953 | − | 0.0182829i | ||||
\(471\) | 8.11980 | + | 5.72127i | 0.374141 | + | 0.263622i | ||||
\(472\) | −12.6531 | − | 38.8117i | −0.582408 | − | 1.78645i | ||||
\(473\) | 17.1284 | + | 11.2655i | 0.787565 | + | 0.517990i | ||||
\(474\) | −3.13907 | − | 7.78463i | −0.144182 | − | 0.357560i | ||||
\(475\) | −6.11712 | − | 25.8101i | −0.280673 | − | 1.18425i | ||||
\(476\) | 0.717922 | + | 0.346130i | 0.0329059 | + | 0.0158648i | ||||
\(477\) | 21.8161 | − | 22.8525i | 0.998891 | − | 1.04634i | ||||
\(478\) | −6.67304 | − | 6.19446i | −0.305218 | − | 0.283328i | ||||
\(479\) | −4.48003 | − | 10.3859i | −0.204698 | − | 0.474543i | 0.784682 | − | 0.619899i | \(-0.212826\pi\) |
−0.989379 | + | 0.145356i | \(0.953567\pi\) | |||||||
\(480\) | −11.9353 | + | 3.68271i | −0.544768 | + | 0.168092i | ||||
\(481\) | 11.2459 | + | 37.5638i | 0.512767 | + | 1.71276i | ||||
\(482\) | −22.6117 | − | 6.57072i | −1.02993 | − | 0.299288i | ||||
\(483\) | −1.36030 | − | 1.73083i | −0.0618957 | − | 0.0787556i | ||||
\(484\) | 5.09292 | − | 5.57616i | 0.231497 | − | 0.253462i | ||||
\(485\) | − | 1.08636i | − | 0.0493289i | ||||||
\(486\) | 8.00304 | + | 20.5415i | 0.363025 | + | 0.931779i | ||||
\(487\) | 19.0919 | 0.865136 | 0.432568 | − | 0.901601i | \(-0.357607\pi\) | ||||
0.432568 | + | 0.901601i | \(0.357607\pi\) | |||||||
\(488\) | −41.3128 | − | 3.81548i | −1.87014 | − | 0.172719i | ||||
\(489\) | 10.8551 | − | 8.53126i | 0.490885 | − | 0.385797i | ||||
\(490\) | −2.61129 | + | 8.98617i | −0.117966 | + | 0.405954i | ||||
\(491\) | −29.2271 | + | 8.75003i | −1.31900 | + | 0.394883i | −0.867523 | − | 0.497398i | \(-0.834289\pi\) |
−0.451480 | + | 0.892281i | \(0.649104\pi\) | |||||||
\(492\) | 19.7870 | + | 1.46768i | 0.892069 | + | 0.0661683i | ||||
\(493\) | 1.86726 | − | 0.805455i | 0.0840969 | − | 0.0362759i | ||||
\(494\) | 43.8464 | + | 40.7018i | 1.97274 | + | 1.83126i | ||||
\(495\) | 9.86450 | − | 2.89002i | 0.443376 | − | 0.129897i | ||||
\(496\) | 25.4445 | − | 28.7800i | 1.14249 | − | 1.29226i | ||||
\(497\) | 4.46938 | − | 1.05926i | 0.200479 | − | 0.0475144i | ||||
\(498\) | −7.84840 | + | 3.16478i | −0.351695 | + | 0.141817i | ||||
\(499\) | 18.0661 | − | 27.4681i | 0.808749 | − | 1.22964i | −0.161341 | − | 0.986899i | \(-0.551582\pi\) |
0.970090 | − | 0.242744i | \(-0.0780476\pi\) | |||||||
\(500\) | −6.97758 | + | 20.1805i | −0.312047 | + | 0.902498i | ||||
\(501\) | −2.17187 | + | 3.08238i | −0.0970318 | + | 0.137711i | ||||
\(502\) | 14.4437 | − | 5.38976i | 0.644655 | − | 0.240557i | ||||
\(503\) | −11.9114 | + | 4.33539i | −0.531103 | + | 0.193306i | −0.593631 | − | 0.804738i | \(-0.702306\pi\) |
0.0625279 | + | 0.998043i | \(0.480084\pi\) | |||||||
\(504\) | 8.60730 | − | 7.49606i | 0.383400 | − | 0.333901i | ||||
\(505\) | 7.06116 | + | 2.57005i | 0.314218 | + | 0.114366i | ||||
\(506\) | −3.59140 | + | 0.0290439i | −0.159657 | + | 0.00129116i | ||||
\(507\) | 13.1994 | − | 24.3081i | 0.586205 | − | 1.07956i | ||||
\(508\) | 6.37550 | − | 11.4671i | 0.282867 | − | 0.508769i | ||||
\(509\) | 28.9174 | + | 12.4738i | 1.28174 | + | 0.552890i | 0.924521 | − | 0.381130i | \(-0.124465\pi\) |
0.357221 | + | 0.934020i | \(0.383724\pi\) | |||||||
\(510\) | −0.921975 | − | 0.0758882i | −0.0408257 | − | 0.00336038i | ||||
\(511\) | 3.76359 | − | 2.47535i | 0.166491 | − | 0.109503i | ||||
\(512\) | 1.64542 | + | 22.5675i | 0.0727178 | + | 0.997353i | ||||
\(513\) | −3.19975 | − | 40.7142i | −0.141272 | − | 1.79758i | ||||
\(514\) | 3.92566 | + | 31.3831i | 0.173154 | + | 1.38425i | ||||
\(515\) | 7.28926 | − | 0.424551i | 0.321203 | − | 0.0187080i | ||||
\(516\) | −25.8039 | + | 5.68496i | −1.13595 | + | 0.250266i | ||||
\(517\) | 0.196222 | + | 1.67879i | 0.00862983 | + | 0.0738330i | ||||
\(518\) | −13.7774 | − | 1.49751i | −0.605344 | − | 0.0657969i | ||||
\(519\) | 26.4873 | − | 33.2966i | 1.16266 | − | 1.46156i | ||||
\(520\) | −4.93239 | − | 18.7700i | −0.216300 | − | 0.823117i | ||||
\(521\) | 17.2348 | − | 14.4617i | 0.755072 | − | 0.633581i | −0.181767 | − | 0.983342i | \(-0.558182\pi\) |
0.936839 | + | 0.349761i | \(0.113737\pi\) | |||||||
\(522\) | −0.0639357 | − | 29.1225i | −0.00279839 | − | 1.27466i | ||||
\(523\) | 10.0643 | − | 11.9941i | 0.440079 | − | 0.524466i | −0.499723 | − | 0.866185i | \(-0.666565\pi\) |
0.939802 | + | 0.341719i | \(0.111009\pi\) | |||||||
\(524\) | −11.2324 | − | 21.4916i | −0.490688 | − | 0.938866i | ||||
\(525\) | −0.662221 | − | 7.83498i | −0.0289017 | − | 0.341947i | ||||
\(526\) | 6.59947 | − | 13.4099i | 0.287751 | − | 0.584701i | ||||
\(527\) | 2.54252 | − | 1.27690i | 0.110754 | − | 0.0556227i | ||||
\(528\) | −1.08855 | − | 18.5895i | −0.0473732 | − | 0.809004i | ||||
\(529\) | 15.1709 | + | 16.0802i | 0.659604 | + | 0.699139i | ||||
\(530\) | 18.9626 | + | 0.950646i | 0.823683 | + | 0.0412934i | ||||
\(531\) | −38.5777 | − | 19.6599i | −1.67413 | − | 0.853168i | ||||
\(532\) | −19.2773 | + | 8.68783i | −0.835775 | + | 0.376665i | ||||
\(533\) | −3.57899 | + | 30.6202i | −0.155023 | + | 1.32631i | ||||
\(534\) | −18.6518 | + | 30.5901i | −0.807143 | + | 1.32376i | ||||
\(535\) | −2.20047 | + | 2.33236i | −0.0951347 | + | 0.100837i | ||||
\(536\) | 16.5414 | − | 8.81623i | 0.714480 | − | 0.380803i | ||||
\(537\) | −11.3720 | + | 18.3158i | −0.490738 | + | 0.790387i | ||||
\(538\) | 11.7076 | − | 9.98630i | 0.504751 | − | 0.430540i | ||||
\(539\) | −12.0820 | − | 6.97554i | −0.520408 | − | 0.300458i | ||||
\(540\) | −6.20188 | + | 11.7069i | −0.266886 | + | 0.503785i | ||||
\(541\) | −1.11467 | + | 0.643555i | −0.0479234 | + | 0.0276686i | −0.523770 | − | 0.851860i | \(-0.675475\pi\) |
0.475847 | + | 0.879528i | \(0.342142\pi\) | |||||||
\(542\) | −3.09803 | + | 8.73082i | −0.133072 | + | 0.375021i | ||||
\(543\) | 37.0891 | − | 12.1688i | 1.59164 | − | 0.522215i | ||||
\(544\) | −0.509053 | + | 1.59668i | −0.0218255 | + | 0.0684572i | ||||
\(545\) | −13.7180 | − | 3.25123i | −0.587615 | − | 0.139267i | ||||
\(546\) | 11.0709 | + | 13.8544i | 0.473789 | + | 0.592913i | ||||
\(547\) | −26.4574 | − | 19.6968i | −1.13124 | − | 0.842176i | −0.142201 | − | 0.989838i | \(-0.545418\pi\) |
−0.989038 | + | 0.147662i | \(0.952825\pi\) | |||||||
\(548\) | 21.4912 | − | 29.8641i | 0.918057 | − | 1.27573i | ||||
\(549\) | −33.8761 | + | 28.0870i | −1.44580 | + | 1.19872i | ||||
\(550\) | −10.7743 | − | 6.96224i | −0.459420 | − | 0.296871i | ||||
\(551\) | −15.4732 | + | 51.6840i | −0.659179 | + | 2.20181i | ||||
\(552\) | 3.20263 | − | 3.34215i | 0.136313 | − | 0.142251i | ||||
\(553\) | −0.268013 | + | 4.60161i | −0.0113971 | + | 0.195680i | ||||
\(554\) | 0.288089 | + | 4.34120i | 0.0122397 | + | 0.184440i | ||||
\(555\) | 15.5498 | − | 4.11751i | 0.660054 | − | 0.174779i | ||||
\(556\) | −9.06206 | − | 0.380866i | −0.384317 | − | 0.0161523i | ||||
\(557\) | 3.87758 | + | 0.683722i | 0.164298 | + | 0.0289702i | 0.255192 | − | 0.966890i | \(-0.417861\pi\) |
−0.0908937 | + | 0.995861i | \(0.528972\pi\) | |||||||
\(558\) | −2.45842 | − | 40.6710i | −0.104073 | − | 1.72174i | ||||
\(559\) | −7.12902 | − | 40.4307i | −0.301526 | − | 1.71004i | ||||
\(560\) | 6.78996 | + | 0.971991i | 0.286928 | + | 0.0410741i | ||||
\(561\) | 0.437663 | − | 1.30788i | 0.0184781 | − | 0.0552186i | ||||
\(562\) | 17.3834 | + | 12.7242i | 0.733273 | + | 0.536740i | ||||
\(563\) | 12.1310 | − | 9.03118i | 0.511260 | − | 0.380619i | −0.310392 | − | 0.950609i | \(-0.600460\pi\) |
0.821652 | + | 0.569990i | \(0.193053\pi\) | |||||||
\(564\) | −1.72651 | − | 1.32841i | −0.0726993 | − | 0.0559364i | ||||
\(565\) | −3.81202 | + | 7.59035i | −0.160373 | + | 0.319329i | ||||
\(566\) | −20.1135 | − | 26.5659i | −0.845435 | − | 1.11665i | ||||
\(567\) | 0.846269 | − | 12.0766i | 0.0355400 | − | 0.507171i | ||||
\(568\) | 3.52246 | + | 8.99286i | 0.147799 | + | 0.377332i | ||||
\(569\) | 14.1141 | + | 7.08836i | 0.591694 | + | 0.297160i | 0.719338 | − | 0.694660i | \(-0.244445\pi\) |
−0.127644 | + | 0.991820i | \(0.540742\pi\) | |||||||
\(570\) | 17.2648 | − | 17.4433i | 0.723145 | − | 0.730619i | ||||
\(571\) | −5.86490 | + | 4.36626i | −0.245438 | + | 0.182722i | −0.712848 | − | 0.701319i | \(-0.752595\pi\) |
0.467409 | + | 0.884041i | \(0.345187\pi\) | |||||||
\(572\) | 28.9292 | − | 0.467935i | 1.20959 | − | 0.0195654i | ||||
\(573\) | −17.7663 | + | 15.7171i | −0.742198 | + | 0.656593i | ||||
\(574\) | −9.47989 | − | 5.37147i | −0.395683 | − | 0.224201i | ||||
\(575\) | −0.553731 | − | 3.14037i | −0.0230922 | − | 0.130962i | ||||
\(576\) | 18.1430 | + | 15.7109i | 0.755958 | + | 0.654620i | ||||
\(577\) | −4.54911 | + | 25.7993i | −0.189382 | + | 1.07404i | 0.730813 | + | 0.682578i | \(0.239141\pi\) |
−0.920195 | + | 0.391461i | \(0.871970\pi\) | |||||||
\(578\) | 15.2252 | − | 18.4456i | 0.633285 | − | 0.767236i | ||||
\(579\) | 12.5379 | + | 12.6119i | 0.521056 | + | 0.524135i | ||||
\(580\) | 13.2230 | − | 11.4649i | 0.549057 | − | 0.476056i | ||||
\(581\) | 4.63930 | + | 0.270208i | 0.192471 | + | 0.0112101i | ||||
\(582\) | −1.77095 | + | 1.10495i | −0.0734084 | + | 0.0458016i | ||||
\(583\) | −8.11815 | + | 27.1165i | −0.336219 | + | 1.12305i | ||||
\(584\) | 6.26268 | + | 7.10611i | 0.259152 | + | 0.294053i | ||||
\(585\) | −17.7657 | − | 10.3971i | −0.734522 | − | 0.429866i | ||||
\(586\) | 3.61300 | + | 11.7224i | 0.149252 | + | 0.484248i | ||||
\(587\) | −3.13106 | − | 2.33099i | −0.129233 | − | 0.0962103i | 0.530601 | − | 0.847621i | \(-0.321966\pi\) |
−0.659834 | + | 0.751411i | \(0.729374\pi\) | |||||||
\(588\) | 17.3050 | − | 4.88310i | 0.713647 | − | 0.201376i | ||||
\(589\) | −17.4073 | + | 73.4471i | −0.717255 | + | 3.02634i | ||||
\(590\) | −6.20522 | − | 25.2695i | −0.255465 | − | 1.04033i | ||||
\(591\) | −0.997333 | + | 4.75925i | −0.0410248 | + | 0.195769i | ||||
\(592\) | −0.942457 | − | 29.1252i | −0.0387347 | − | 1.19704i | ||||
\(593\) | −2.12067 | − | 3.67310i | −0.0870853 | − | 0.150836i | 0.819193 | − | 0.573519i | \(-0.194422\pi\) |
−0.906278 | + | 0.422682i | \(0.861089\pi\) | |||||||
\(594\) | −14.7446 | − | 13.1414i | −0.604977 | − | 0.539198i | ||||
\(595\) | 0.439954 | + | 0.254007i | 0.0180363 | + | 0.0104133i | ||||
\(596\) | 1.92248 | − | 8.73910i | 0.0787478 | − | 0.357967i | ||||
\(597\) | 0.623002 | − | 19.4411i | 0.0254978 | − | 0.795673i | ||||
\(598\) | 4.97772 | + | 5.19132i | 0.203554 | + | 0.212289i | ||||
\(599\) | −16.9222 | + | 17.9364i | −0.691420 | + | 0.732863i | −0.974042 | − | 0.226369i | \(-0.927315\pi\) |
0.282621 | + | 0.959232i | \(0.408796\pi\) | |||||||
\(600\) | 16.1169 | − | 3.68768i | 0.657969 | − | 0.150549i | ||||
\(601\) | 32.6704 | + | 3.81862i | 1.33265 | + | 0.155765i | 0.752419 | − | 0.658685i | \(-0.228887\pi\) |
0.580234 | + | 0.814450i | \(0.302961\pi\) | |||||||
\(602\) | 14.1455 | + | 3.23196i | 0.576528 | + | 0.131725i | ||||
\(603\) | 5.81410 | − | 19.0121i | 0.236769 | − | 0.774231i | ||||
\(604\) | 8.69184 | − | 5.92029i | 0.353666 | − | 0.240893i | ||||
\(605\) | 3.50130 | − | 3.30331i | 0.142348 | − | 0.134299i | ||||
\(606\) | −2.99237 | − | 14.1250i | −0.121557 | − | 0.573788i | ||||
\(607\) | −38.8809 | + | 19.5267i | −1.57813 | + | 0.792565i | −0.999731 | − | 0.0231926i | \(-0.992617\pi\) |
−0.578395 | + | 0.815757i | \(0.696321\pi\) | |||||||
\(608\) | −23.7686 | − | 37.5740i | −0.963946 | − | 1.52383i | ||||
\(609\) | −6.80147 | + | 14.4743i | −0.275609 | + | 0.586529i | ||||
\(610\) | −26.0795 | − | 4.38137i | −1.05593 | − | 0.177396i | ||||
\(611\) | 2.17567 | − | 2.59286i | 0.0880181 | − | 0.104896i | ||||
\(612\) | 0.814043 | + | 1.58017i | 0.0329057 | + | 0.0638745i | ||||
\(613\) | −13.7391 | − | 16.3736i | −0.554916 | − | 0.661324i | 0.413546 | − | 0.910483i | \(-0.364290\pi\) |
−0.968462 | + | 0.249160i | \(0.919846\pi\) | |||||||
\(614\) | 14.6809 | + | 24.9597i | 0.592471 | + | 1.00729i | ||||
\(615\) | 12.5080 | + | 1.86981i | 0.504372 | + | 0.0753979i | ||||
\(616\) | −3.82131 | + | 9.48508i | −0.153965 | + | 0.382165i | ||||
\(617\) | 5.66221 | − | 0.661818i | 0.227952 | − | 0.0266438i | −0.00134996 | − | 0.999999i | \(-0.500430\pi\) |
0.229302 | + | 0.973355i | \(0.426356\pi\) | |||||||
\(618\) | −8.10610 | − | 11.4510i | −0.326075 | − | 0.460625i | ||||
\(619\) | −10.0771 | + | 0.586925i | −0.405033 | + | 0.0235905i | −0.259453 | − | 0.965756i | \(-0.583542\pi\) |
−0.145581 | + | 0.989346i | \(0.546505\pi\) | |||||||
\(620\) | 17.5363 | − | 17.0891i | 0.704274 | − | 0.686314i | ||||
\(621\) | −0.0994223 | − | 4.90869i | −0.00398968 | − | 0.196979i | ||||
\(622\) | −13.1176 | − | 5.53299i | −0.525967 | − | 0.221853i | ||||
\(623\) | 16.4382 | − | 10.8116i | 0.658581 | − | 0.433156i | ||||
\(624\) | −25.5815 | + | 27.1319i | −1.02408 | + | 1.08614i | ||||
\(625\) | 1.29281 | − | 2.99707i | 0.0517124 | − | 0.119883i | ||||
\(626\) | 4.56155 | − | 2.01157i | 0.182316 | − | 0.0803984i | ||||
\(627\) | 19.1166 | + | 31.1981i | 0.763444 | + | 1.24593i | ||||
\(628\) | 9.08807 | − | 6.99708i | 0.362654 | − | 0.279214i | ||||
\(629\) | 0.738163 | − | 2.02809i | 0.0294325 | − | 0.0808651i | ||||
\(630\) | 5.82610 | − | 4.35728i | 0.232117 | − | 0.173598i | ||||
\(631\) | −11.7544 | + | 4.27826i | −0.467936 | + | 0.170315i | −0.565217 | − | 0.824942i | \(-0.691208\pi\) |
0.0972812 | + | 0.995257i | \(0.468985\pi\) | |||||||
\(632\) | −9.65930 | + | 0.798105i | −0.384226 | + | 0.0317469i | ||||
\(633\) | 1.34145 | − | 14.8296i | 0.0533178 | − | 0.589423i | ||||
\(634\) | 10.5679 | − | 7.07371i | 0.419705 | − | 0.280933i | ||||
\(635\) | 4.59549 | − | 6.98710i | 0.182366 | − | 0.277275i | ||||
\(636\) | −17.7374 | − | 31.8793i | −0.703334 | − | 1.26410i | ||||
\(637\) | 6.44288 | + | 27.1847i | 0.255276 | + | 1.07710i | ||||
\(638\) | 11.8980 | + | 23.2208i | 0.471047 | + | 0.919319i | ||||
\(639\) | 9.38212 | + | 4.11278i | 0.371151 | + | 0.162699i | ||||
\(640\) | −0.0226354 | + | 14.4228i | −0.000894742 | + | 0.570111i | ||||
\(641\) | −1.54824 | − | 3.58922i | −0.0611517 | − | 0.141765i | 0.884900 | − | 0.465781i | \(-0.154226\pi\) |
−0.946052 | + | 0.324015i | \(0.894967\pi\) | |||||||
\(642\) | 6.04030 | + | 1.21488i | 0.238391 | + | 0.0479474i | ||||
\(643\) | 29.1101 | − | 8.71499i | 1.14799 | − | 0.343686i | 0.344374 | − | 0.938833i | \(-0.388091\pi\) |
0.803617 | + | 0.595147i | \(0.202906\pi\) | |||||||
\(644\) | −2.37429 | + | 0.907921i | −0.0935602 | + | 0.0357771i | ||||
\(645\) | −16.6712 | + | 2.39184i | −0.656430 | + | 0.0941785i | ||||
\(646\) | −0.598015 | − | 3.23816i | −0.0235286 | − | 0.127404i | ||||
\(647\) | −2.92162 | −0.114861 | −0.0574304 | − | 0.998350i | \(-0.518291\pi\) | ||||
−0.0574304 | + | 0.998350i | \(0.518291\pi\) | |||||||
\(648\) | 25.3923 | − | 1.79710i | 0.997505 | − | 0.0705966i | ||||
\(649\) | 38.7919 | 1.52271 | ||||||||
\(650\) | 4.66526 | + | 25.2617i | 0.182986 | + | 0.990844i | ||||
\(651\) | −8.32230 | + | 20.7700i | −0.326177 | + | 0.814039i | ||||
\(652\) | −5.69414 | − | 14.8907i | −0.223000 | − | 0.583163i | ||||
\(653\) | 0.556806 | − | 0.166697i | 0.0217895 | − | 0.00652335i | −0.275890 | − | 0.961189i | \(-0.588973\pi\) |
0.297679 | + | 0.954666i | \(0.403787\pi\) | |||||||
\(654\) | 8.65271 | + | 25.6697i | 0.338348 | + | 1.00376i | ||||
\(655\) | −6.12219 | − | 14.1928i | −0.239214 | − | 0.554560i | ||||
\(656\) | 8.38941 | − | 21.3196i | 0.327551 | − | 0.832391i | ||||
\(657\) | 10.0259 | + | 0.643232i | 0.391148 | + | 0.0250949i | ||||
\(658\) | 0.545518 | + | 1.06466i | 0.0212665 | + | 0.0415048i | ||||
\(659\) | −0.827097 | − | 3.48980i | −0.0322191 | − | 0.135943i | 0.954558 | − | 0.298024i | \(-0.0963276\pi\) |
−0.986777 | + | 0.162081i | \(0.948179\pi\) | |||||||
\(660\) | 0.188249 | − | 11.8678i | 0.00732757 | − | 0.461954i | ||||
\(661\) | 4.84223 | − | 7.36225i | 0.188341 | − | 0.286358i | −0.728958 | − | 0.684559i | \(-0.759995\pi\) |
0.917298 | + | 0.398201i | \(0.130365\pi\) | |||||||
\(662\) | 5.17816 | − | 3.46604i | 0.201255 | − | 0.134712i | ||||
\(663\) | −2.50650 | + | 1.15983i | −0.0973445 | + | 0.0450439i | ||||
\(664\) | 0.804643 | + | 9.73842i | 0.0312262 | + | 0.377924i | ||||
\(665\) | −12.6648 | + | 4.60962i | −0.491121 | + | 0.178753i | ||||
\(666\) | −22.5282 | − | 21.1610i | −0.872952 | − | 0.819972i | ||||
\(667\) | −2.21829 | + | 6.09470i | −0.0858926 | + | 0.235988i | ||||
\(668\) | 2.65618 | + | 3.44995i | 0.102771 | + | 0.133482i | ||||
\(669\) | −5.47911 | + | 0.143273i | −0.211835 | + | 0.00553927i | ||||
\(670\) | 10.9319 | − | 4.82077i | 0.422335 | − | 0.186243i | ||||
\(671\) | 15.6155 | − | 36.2008i | 0.602830 | − | 1.39752i | ||||
\(672\) | −5.32164 | − | 12.0575i | −0.205287 | − | 0.465126i | ||||
\(673\) | −15.1396 | + | 9.95748i | −0.583589 | + | 0.383833i | −0.806701 | − | 0.590960i | \(-0.798749\pi\) |
0.223111 | + | 0.974793i | \(0.428379\pi\) | |||||||
\(674\) | 14.5459 | + | 6.13547i | 0.560289 | + | 0.236329i | ||||
\(675\) | 9.33769 | − | 14.8435i | 0.359408 | − | 0.571327i | ||||
\(676\) | −22.2912 | − | 22.8746i | −0.857354 | − | 0.879791i | ||||
\(677\) | −6.96343 | + | 0.405573i | −0.267626 | + | 0.0155875i | −0.191433 | − | 0.981506i | \(-0.561314\pi\) |
−0.0761930 | + | 0.997093i | \(0.524277\pi\) | |||||||
\(678\) | 16.2509 | − | 1.50599i | 0.624111 | − | 0.0578373i | ||||
\(679\) | 1.13854 | − | 0.133076i | 0.0436931 | − | 0.00510699i | ||||
\(680\) | −0.399176 | + | 0.990818i | −0.0153077 | + | 0.0379961i | ||||
\(681\) | 17.6428 | + | 44.7937i | 0.676073 | + | 1.71650i | ||||
\(682\) | 18.5073 | + | 31.4651i | 0.708680 | + | 1.20486i | ||||
\(683\) | 10.8061 | + | 12.8782i | 0.413483 | + | 0.492770i | 0.932082 | − | 0.362248i | \(-0.117991\pi\) |
−0.518599 | + | 0.855018i | \(0.673546\pi\) | |||||||
\(684\) | −45.9959 | − | 10.4029i | −1.75870 | − | 0.397766i | ||||
\(685\) | 15.0747 | − | 17.9654i | 0.575976 | − | 0.686421i | ||||
\(686\) | −22.8698 | − | 3.84214i | −0.873175 | − | 0.146694i | ||||
\(687\) | 22.2478 | + | 31.9732i | 0.848807 | + | 1.21985i | ||||
\(688\) | −2.56009 | + | 30.4027i | −0.0976025 | + | 1.15909i | ||||
\(689\) | 50.6542 | − | 25.4395i | 1.92977 | − | 0.969167i | ||||
\(690\) | 2.19397 | − | 1.97278i | 0.0835231 | − | 0.0751023i | ||||
\(691\) | −18.9957 | + | 17.9215i | −0.722631 | + | 0.681767i | −0.956904 | − | 0.290404i | \(-0.906210\pi\) |
0.234273 | + | 0.972171i | \(0.424729\pi\) | |||||||
\(692\) | −27.6571 | − | 40.6046i | −1.05137 | − | 1.54356i | ||||
\(693\) | 4.23722 | + | 9.98430i | 0.160959 | + | 0.379272i | ||||
\(694\) | −17.0668 | − | 3.89941i | −0.647846 | − | 0.148020i | ||||
\(695\) | −5.74220 | − | 0.671167i | −0.217814 | − | 0.0254588i | ||||
\(696\) | −32.1392 | − | 9.89473i | −1.21823 | − | 0.375059i | ||||
\(697\) | 1.16446 | − | 1.23425i | 0.0441070 | − | 0.0467507i | ||||
\(698\) | −22.7304 | − | 23.7058i | −0.860359 | − | 0.897279i | ||||
\(699\) | −39.7621 | + | 21.2886i | −1.50394 | + | 0.805208i | ||||
\(700\) | −8.86729 | − | 1.95068i | −0.335152 | − | 0.0737287i | ||||
\(701\) | −30.7375 | − | 17.7463i | −1.16094 | − | 0.670268i | −0.209409 | − | 0.977828i | \(-0.567154\pi\) |
−0.951529 | + | 0.307560i | \(0.900487\pi\) | |||||||
\(702\) | 1.12070 | + | 39.5363i | 0.0422980 | + | 1.49220i | ||||
\(703\) | 28.6291 | + | 49.5870i | 1.07977 | + | 1.87021i | ||||
\(704\) | −20.8736 | − | 5.16052i | −0.786704 | − | 0.194494i | ||||
\(705\) | −1.03455 | − | 0.926145i | −0.0389634 | − | 0.0348807i | ||||
\(706\) | −4.55984 | − | 18.5690i | −0.171612 | − | 0.698853i | ||||
\(707\) | −1.82853 | + | 7.71516i | −0.0687689 | + | 0.290159i | ||||
\(708\) | −34.8823 | + | 35.8176i | −1.31096 | + | 1.34611i | ||||
\(709\) | 8.06933 | + | 6.00739i | 0.303050 | + | 0.225612i | 0.737932 | − | 0.674875i | \(-0.235803\pi\) |
−0.434882 | + | 0.900487i | \(0.643210\pi\) | |||||||
\(710\) | 1.81323 | + | 5.88303i | 0.0680493 | + | 0.220786i | ||||
\(711\) | −6.65423 | + | 7.83598i | −0.249553 | + | 0.293872i | ||||
\(712\) | 27.3535 | + | 31.0373i | 1.02511 | + | 1.16317i | ||||
\(713\) | −2.60254 | + | 8.69309i | −0.0974659 | + | 0.325559i | ||||
\(714\) | −0.0334063 | − | 0.975557i | −0.00125020 | − | 0.0365093i | ||||
\(715\) | 18.4108 | + | 1.07231i | 0.688525 | + | 0.0401020i | ||||
\(716\) | 16.3080 | + | 18.8088i | 0.609460 | + | 0.702918i | ||||
\(717\) | −2.91788 | + | 10.7628i | −0.108970 | + | 0.401943i | ||||
\(718\) | −9.26290 | + | 11.2222i | −0.345689 | + | 0.418808i | ||||
\(719\) | −4.62277 | + | 26.2170i | −0.172400 | + | 0.977729i | 0.768702 | + | 0.639607i | \(0.220903\pi\) |
−0.941102 | + | 0.338122i | \(0.890208\pi\) | |||||||
\(720\) | 10.7886 | + | 10.8456i | 0.402067 | + | 0.404190i | ||||
\(721\) | 1.33786 | + | 7.58738i | 0.0498245 | + | 0.282569i | ||||
\(722\) | 52.6296 | + | 29.8208i | 1.95867 | + | 1.10982i | ||||
\(723\) | 5.74855 | + | 28.2604i | 0.213791 | + | 1.05101i | ||||
\(724\) | −0.728969 | − | 45.0671i | −0.0270919 | − | 1.67491i | ||||
\(725\) | −18.5820 | + | 13.8338i | −0.690116 | + | 0.513773i | ||||
\(726\) | −8.94621 | − | 2.34790i | −0.332025 | − | 0.0871387i | ||||
\(727\) | 41.0231 | + | 20.6026i | 1.52146 | + | 0.764107i | 0.996222 | − | 0.0868470i | \(-0.0276791\pi\) |
0.525240 | + | 0.850954i | \(0.323975\pi\) | |||||||
\(728\) | 19.0673 | − | 7.46858i | 0.706683 | − | 0.276804i | ||||
\(729\) | 17.7181 | − | 20.3732i | 0.656226 | − | 0.754564i | ||||
\(730\) | 3.64437 | + | 4.81348i | 0.134884 | + | 0.178155i | ||||
\(731\) | −1.01415 | + | 2.01934i | −0.0375098 | + | 0.0746882i | ||||
\(732\) | 19.3835 | + | 46.9706i | 0.716433 | + | 1.73608i | ||||
\(733\) | 21.4906 | − | 15.9992i | 0.793775 | − | 0.590943i | −0.122049 | − | 0.992524i | \(-0.538947\pi\) |
0.915824 | + | 0.401581i | \(0.131539\pi\) | |||||||
\(734\) | 17.8963 | + | 13.0997i | 0.660563 | + | 0.483518i | ||||
\(735\) | 11.2310 | − | 2.28455i | 0.414263 | − | 0.0842668i | ||||
\(736\) | −2.58995 | − | 4.67559i | −0.0954669 | − | 0.172345i | ||||
\(737\) | 3.09301 | + | 17.5413i | 0.113933 | + | 0.646144i | ||||
\(738\) | −9.67396 | − | 22.2921i | −0.356104 | − | 0.820583i | ||||
\(739\) | 31.5912 | + | 5.57038i | 1.16210 | + | 0.204910i | 0.721253 | − | 0.692672i | \(-0.243567\pi\) |
0.440848 | + | 0.897582i | \(0.354678\pi\) | |||||||
\(740\) | 0.779960 | − | 18.5578i | 0.0286719 | − | 0.682200i | ||||
\(741\) | 19.1725 | − | 70.7187i | 0.704318 | − | 2.59791i | ||||
\(742\) | 1.32656 | + | 19.9899i | 0.0486997 | + | 0.733852i | ||||
\(743\) | −0.414853 | + | 7.12275i | −0.0152195 | + | 0.261308i | 0.982112 | + | 0.188299i | \(0.0602974\pi\) |
−0.997331 | + | 0.0730095i | \(0.976740\pi\) | |||||||
\(744\) | −45.6946 | − | 11.2057i | −1.67525 | − | 0.410821i | ||||
\(745\) | 1.63579 | − | 5.46392i | 0.0599308 | − | 0.200183i | ||||
\(746\) | −23.2751 | − | 15.0401i | −0.852163 | − | 0.550656i | ||||
\(747\) | 7.90017 | + | 6.70874i | 0.289052 | + | 0.245460i | ||||
\(748\) | −1.29261 | − | 0.930203i | −0.0472625 | − | 0.0340116i | ||||
\(749\) | −2.71395 | − | 2.02046i | −0.0991655 | − | 0.0738260i | ||||
\(750\) | 25.8557 | − | 3.92318i | 0.944115 | − | 0.143254i | ||||
\(751\) | −31.1876 | − | 7.39159i | −1.13805 | − | 0.269723i | −0.381953 | − | 0.924182i | \(-0.624749\pi\) |
−0.756098 | + | 0.654458i | \(0.772897\pi\) | |||||||
\(752\) | −2.05581 | + | 1.44950i | −0.0749675 | + | 0.0528577i | ||||
\(753\) | −14.0678 | − | 12.5938i | −0.512660 | − | 0.458942i | ||||
\(754\) | 17.4727 | − | 49.2414i | 0.636320 | − | 1.79327i | ||||
\(755\) | 5.80522 | − | 3.35165i | 0.211274 | − | 0.121979i | ||||
\(756\) | −13.0289 | − | 5.06571i | −0.473858 | − | 0.184238i | ||||
\(757\) | −8.50103 | − | 4.90807i | −0.308975 | − | 0.178387i | 0.337493 | − | 0.941328i | \(-0.390421\pi\) |
−0.646468 | + | 0.762941i | \(0.723755\pi\) | |||||||
\(758\) | 2.05699 | − | 1.75456i | 0.0747131 | − | 0.0637284i | ||||
\(759\) | 2.07621 | + | 3.87787i | 0.0753615 | + | 0.140758i | ||||
\(760\) | −13.3293 | − | 25.0091i | −0.483505 | − | 0.907174i | ||||
\(761\) | −1.22821 | + | 1.30183i | −0.0445226 | + | 0.0471912i | −0.749252 | − | 0.662285i | \(-0.769587\pi\) |
0.704730 | + | 0.709476i | \(0.251068\pi\) | |||||||
\(762\) | −16.0643 | − | 0.384777i | −0.581950 | − | 0.0139390i | ||||
\(763\) | 1.72698 | − | 14.7752i | 0.0625207 | − | 0.534899i | ||||
\(764\) | 11.2541 | + | 24.9714i | 0.407158 | + | 0.903435i | ||||
\(765\) | 0.442622 | + | 1.04297i | 0.0160030 | + | 0.0377086i | ||||
\(766\) | −9.86477 | − | 0.494547i | −0.356429 | − | 0.0178687i | ||||
\(767\) | −53.3090 | − | 56.5043i | −1.92488 | − | 2.04025i | ||||
\(768\) | 23.5347 | − | 14.6327i | 0.849236 | − | 0.528013i | ||||
\(769\) | −16.1107 | + | 8.09109i | −0.580966 | + | 0.291772i | −0.714910 | − | 0.699217i | \(-0.753532\pi\) |
0.133944 | + | 0.990989i | \(0.457236\pi\) | |||||||
\(770\) | −2.87809 | + | 5.84820i | −0.103719 | + | 0.210754i | ||||
\(771\) | 31.7958 | − | 22.1244i | 1.14510 | − | 0.796790i | ||||
\(772\) | 18.1991 | − | 9.51159i | 0.655001 | − | 0.342330i | ||||
\(773\) | −32.3311 | + | 38.5307i | −1.16287 | + | 1.38585i | −0.254822 | + | 0.966988i | \(0.582017\pi\) |
−0.908048 | + | 0.418866i | \(0.862428\pi\) | |||||||
\(774\) | 20.8557 | + | 24.7443i | 0.749642 | + | 0.889415i | ||||
\(775\) | −24.8285 | + | 20.8336i | −0.891866 | + | 0.748365i | ||||
\(776\) | 0.612586 | + | 2.33116i | 0.0219905 | + | 0.0836839i | ||||
\(777\) | 6.22011 | + | 15.7924i | 0.223145 | + | 0.566548i | ||||
\(778\) | −5.69477 | − | 0.618984i | −0.204167 | − | 0.0221916i | ||||
\(779\) | 5.22623 | + | 44.7133i | 0.187249 | + | 1.60202i | ||||
\(780\) | −17.5454 | + | 16.0349i | −0.628225 | + | 0.574143i | ||||
\(781\) | −9.16225 | + | 0.533640i | −0.327851 | + | 0.0190952i | ||||
\(782\) | −0.0491358 | − | 0.392809i | −0.00175709 | − | 0.0140468i | ||||
\(783\) | −31.5432 | + | 16.6498i | −1.12726 | + | 0.595017i | ||||
\(784\) | 0.536235 | − | 20.7555i | 0.0191513 | − | 0.741268i | ||||
\(785\) | 6.10807 | − | 4.01734i | 0.218006 | − | 0.143385i | ||||
\(786\) | −16.9099 | + | 24.4160i | −0.603155 | + | 0.870889i | ||||
\(787\) | 27.0421 | + | 11.6648i | 0.963946 | + | 0.415806i | 0.819102 | − | 0.573649i | \(-0.194472\pi\) |
0.144845 | + | 0.989454i | \(0.453732\pi\) | |||||||
\(788\) | 4.90740 | + | 2.72843i | 0.174819 | + | 0.0971962i | ||||
\(789\) | −18.2986 | + | 0.478492i | −0.651449 | + | 0.0170348i | ||||
\(790\) | −6.17766 | + | 0.0499591i | −0.219791 | + | 0.00177747i | ||||
\(791\) | −8.42191 | − | 3.06532i | −0.299449 | − | 0.108990i | ||||
\(792\) | −19.5381 | + | 11.7641i | −0.694257 | + | 0.418017i | ||||
\(793\) | −74.1895 | + | 27.0028i | −2.63455 | + | 0.958897i | ||||
\(794\) | −6.15219 | + | 2.29573i | −0.218333 | + | 0.0814723i | ||||
\(795\) | −9.76524 | − | 21.1037i | −0.346337 | − | 0.748471i | ||||
\(796\) | −21.2272 | − | 7.33950i | −0.752377 | − | 0.260142i | ||||
\(797\) | −4.63773 | + | 7.05133i | −0.164277 | + | 0.249771i | −0.908240 | − | 0.418450i | \(-0.862573\pi\) |
0.743963 | + | 0.668221i | \(0.232944\pi\) | |||||||
\(798\) | 20.3961 | + | 15.9574i | 0.722012 | + | 0.564885i | ||||
\(799\) | −0.181280 | + | 0.0429641i | −0.00641322 | + | 0.00151996i | ||||
\(800\) | 1.44802 | − | 19.0361i | 0.0511953 | − | 0.673028i | ||||
\(801\) | 43.7901 | + | 2.80944i | 1.54725 | + | 0.0992666i | ||||
\(802\) | 2.77865 | + | 2.57937i | 0.0981175 | + | 0.0910807i | ||||
\(803\) | −8.26475 | + | 3.56507i | −0.291657 | + | 0.125808i | ||||
\(804\) | −18.9777 | − | 12.9176i | −0.669291 | − | 0.455569i | ||||
\(805\) | −1.55219 | + | 0.464696i | −0.0547076 | + | 0.0163784i | ||||
\(806\) | 20.3988 | − | 70.1981i | 0.718519 | − | 2.47262i | ||||
\(807\) | −17.4944 | − | 7.00982i | −0.615832 | − | 0.246757i | ||||
\(808\) | −16.6015 | − | 1.53324i | −0.584037 | − | 0.0539393i | ||||
\(809\) | −30.9367 | −1.08768 | −0.543838 | − | 0.839190i | \(-0.683029\pi\) | ||||
−0.543838 | + | 0.839190i | \(0.683029\pi\) | |||||||
\(810\) | 16.2256 | + | 0.0599714i | 0.570108 | + | 0.00210718i | ||||
\(811\) | 39.9018i | 1.40114i | 0.713582 | + | 0.700572i | \(0.247072\pi\) | ||||
−0.713582 | + | 0.700572i | \(0.752928\pi\) | |||||||
\(812\) | 13.6354 | + | 12.4538i | 0.478510 | + | 0.437042i | ||||
\(813\) | 11.2313 | − | 1.61136i | 0.393897 | − | 0.0565127i | ||||
\(814\) | 26.5912 | + | 7.72713i | 0.932021 | + | 0.270836i | ||||
\(815\) | −2.91439 | − | 9.73475i | −0.102087 | − | 0.340993i | ||||
\(816\) | 2.02122 | − | 0.357047i | 0.0707567 | − | 0.0124992i | ||||
\(817\) | −23.7449 | − | 55.0469i | −0.830730 | − | 1.92585i | ||||
\(818\) | −31.8059 | − | 29.5249i | −1.11207 | − | 1.03231i | ||||
\(819\) | 8.72023 | − | 19.8927i | 0.304709 | − | 0.695107i | ||||
\(820\) | 6.34212 | − | 13.1545i | 0.221476 | − | 0.459373i | ||||
\(821\) | 6.84751 | + | 28.8919i | 0.238980 | + | 1.00833i | 0.951735 | + | 0.306922i | \(0.0992989\pi\) |
−0.712755 | + | 0.701413i | \(0.752553\pi\) | |||||||
\(822\) | −44.6194 | − | 6.30164i | −1.55628 | − | 0.219795i | ||||
\(823\) | 19.9325 | + | 13.1098i | 0.694804 | + | 0.456980i | 0.847155 | − | 0.531347i | \(-0.178314\pi\) |
−0.152350 | + | 0.988327i | \(0.548684\pi\) | |||||||
\(824\) | −15.4023 | + | 5.02136i | −0.536564 | + | 0.174927i | ||||
\(825\) | −1.41541 | + | 15.6472i | −0.0492783 | + | 0.544766i | ||||
\(826\) | 25.7231 | − | 9.59874i | 0.895022 | − | 0.333983i | ||||
\(827\) | −10.3689 | − | 28.4884i | −0.360563 | − | 0.990639i | −0.978831 | − | 0.204671i | \(-0.934387\pi\) |
0.618268 | − | 0.785968i | \(-0.287835\pi\) | |||||||
\(828\) | −5.44749 | − | 1.57002i | −0.189313 | − | 0.0545621i | ||||
\(829\) | −0.875314 | + | 2.40490i | −0.0304009 | + | 0.0835258i | −0.953965 | − | 0.299919i | \(-0.903040\pi\) |
0.923564 | + | 0.383445i | \(0.125262\pi\) | |||||||
\(830\) | 0.0503683 | + | 6.22826i | 0.00174831 | + | 0.216186i | ||||
\(831\) | 4.54344 | − | 2.78399i | 0.157610 | − | 0.0965757i | ||||
\(832\) | 21.1684 | + | 37.4963i | 0.733881 | + | 1.29995i | ||||
\(833\) | 0.609067 | − | 1.41198i | 0.0211029 | − | 0.0489221i | ||||
\(834\) | 4.74636 | + | 10.0435i | 0.164353 | + | 0.347777i | ||||
\(835\) | 1.52503 | + | 2.31870i | 0.0527760 | + | 0.0802419i | ||||
\(836\) | 40.9477 | − | 10.4070i | 1.41621 | − | 0.359934i | ||||
\(837\) | −42.7027 | + | 25.8213i | −1.47602 | + | 0.892514i | ||||
\(838\) | 18.1938 | − | 2.27584i | 0.628496 | − | 0.0786176i | ||||
\(839\) | −3.15876 | − | 54.2339i | −0.109053 | − | 1.87236i | −0.401203 | − | 0.915989i | \(-0.631408\pi\) |
0.292151 | − | 0.956372i | \(-0.405629\pi\) | |||||||
\(840\) | −2.81177 | − | 7.91621i | −0.0970152 | − | 0.273135i | ||||
\(841\) | 17.9956 | − | 2.10339i | 0.620539 | − | 0.0725306i | ||||
\(842\) | 6.01577 | + | 0.653875i | 0.207317 | + | 0.0225340i | ||||
\(843\) | 3.90081 | − | 26.0943i | 0.134351 | − | 0.898737i | ||||
\(844\) | −15.8955 | − | 6.55383i | −0.547147 | − | 0.225592i | ||||
\(845\) | −13.0862 | − | 15.5955i | −0.450179 | − | 0.536502i | ||||
\(846\) | −0.457526 | + | 2.62849i | −0.0157301 | + | 0.0903694i | ||||
\(847\) | 3.89088 | + | 3.26484i | 0.133692 | + | 0.112181i | ||||
\(848\) | −41.2270 | + | 8.65287i | −1.41574 | + | 0.297141i | ||||
\(849\) | −17.3559 | + | 36.9355i | −0.595654 | + | 1.26762i | ||||
\(850\) | 0.624343 | − | 1.26865i | 0.0214148 | − | 0.0435142i | ||||
\(851\) | 3.08930 | + | 6.15131i | 0.105900 | + | 0.210864i | ||||
\(852\) | 7.74612 | − | 8.93960i | 0.265378 | − | 0.306266i | ||||
\(853\) | 26.9907 | − | 25.4644i | 0.924143 | − | 0.871884i | −0.0679115 | − | 0.997691i | \(-0.521634\pi\) |
0.992055 | + | 0.125807i | \(0.0401521\pi\) | |||||||
\(854\) | 1.39714 | − | 27.8689i | 0.0478093 | − | 0.953655i | ||||
\(855\) | −28.7445 | − | 8.79038i | −0.983040 | − | 0.300625i | ||||
\(856\) | 3.40670 | − | 6.24574i | 0.116438 | − | 0.213475i | ||||
\(857\) | −39.1520 | − | 4.57622i | −1.33741 | − | 0.156321i | −0.582864 | − | 0.812570i | \(-0.698068\pi\) |
−0.754544 | + | 0.656249i | \(0.772142\pi\) | |||||||
\(858\) | −16.9778 | − | 31.1035i | −0.579614 | − | 1.06186i | ||||
\(859\) | −4.15899 | − | 3.92381i | −0.141903 | − | 0.133879i | 0.612018 | − | 0.790844i | \(-0.290358\pi\) |
−0.753921 | + | 0.656966i | \(0.771840\pi\) | |||||||
\(860\) | −3.06682 | + | 19.2041i | −0.104578 | + | 0.654853i | ||||
\(861\) | −0.427419 | + | 13.3379i | −0.0145664 | + | 0.454553i | ||||
\(862\) | 26.3476 | + | 30.8891i | 0.897404 | + | 1.05209i | ||||
\(863\) | 6.04283 | − | 10.4665i | 0.205700 | − | 0.356283i | −0.744655 | − | 0.667449i | \(-0.767386\pi\) |
0.950356 | + | 0.311166i | \(0.100719\pi\) | |||||||
\(864\) | 6.70693 | − | 28.6185i | 0.228174 | − | 0.973620i | ||||
\(865\) | −15.6575 | − | 27.1196i | −0.532371 | − | 0.922093i | ||||
\(866\) | 5.65253 | − | 15.9299i | 0.192081 | − | 0.541319i | ||||
\(867\) | −28.6701 | − | 6.00801i | −0.973688 | − | 0.204043i | ||||
\(868\) | 20.0581 | + | 16.2853i | 0.680816 | + | 0.552757i | ||||
\(869\) | 2.12401 | − | 8.96192i | 0.0720522 | − | 0.304012i | ||||
\(870\) | −19.9606 | − | 7.81126i | −0.676727 | − | 0.264826i | ||||
\(871\) | 21.3002 | − | 28.6112i | 0.721731 | − | 0.969453i | ||||
\(872\) | 31.2702 | − | 0.758785i | 1.05894 | − | 0.0256957i | ||||
\(873\) | 2.20644 | + | 1.29128i | 0.0746767 | + | 0.0437032i | ||||
\(874\) | 8.82102 | + | 5.70002i | 0.298375 | + | 0.192806i | ||||
\(875\) | −13.7578 | − | 4.11883i | −0.465100 | − | 0.139242i | ||||
\(876\) | 4.14008 | − | 10.8368i | 0.139880 | − | 0.366142i | ||||
\(877\) | −23.0214 | − | 1.34084i | −0.777377 | − | 0.0452771i | −0.335132 | − | 0.942171i | \(-0.608781\pi\) |
−0.442245 | + | 0.896894i | \(0.645818\pi\) | |||||||
\(878\) | 49.1564 | − | 3.26210i | 1.65895 | − | 0.110091i | ||||
\(879\) | 10.6544 | − | 10.5918i | 0.359364 | − | 0.357253i | ||||
\(880\) | −13.0238 | − | 4.26858i | −0.439033 | − | 0.143894i | ||||
\(881\) | 5.06538 | − | 28.7272i | 0.170657 | − | 0.967843i | −0.772381 | − | 0.635159i | \(-0.780935\pi\) |
0.943038 | − | 0.332684i | \(-0.107954\pi\) | |||||||
\(882\) | −15.1475 | − | 15.9849i | −0.510041 | − | 0.538240i | ||||
\(883\) | −30.0818 | + | 5.30423i | −1.01233 | + | 0.178502i | −0.655123 | − | 0.755522i | \(-0.727383\pi\) |
−0.357210 | + | 0.934024i | \(0.616272\pi\) | |||||||
\(884\) | 0.421412 | + | 3.16113i | 0.0141736 | + | 0.106320i | ||||
\(885\) | −23.8686 | + | 21.1156i | −0.802334 | + | 0.709792i | ||||
\(886\) | −27.2392 | + | 37.2131i | −0.915118 | + | 1.25020i | ||||
\(887\) | 20.5241 | + | 27.5686i | 0.689130 | + | 0.925663i | 0.999690 | − | 0.0248910i | \(-0.00792388\pi\) |
−0.310560 | + | 0.950554i | \(0.600516\pi\) | |||||||
\(888\) | −31.0459 | + | 17.6040i | −1.04183 | + | 0.590751i | ||||
\(889\) | 7.88565 | + | 3.96032i | 0.264476 | + | 0.132825i | ||||
\(890\) | 15.9175 | + | 21.0238i | 0.533555 | + | 0.704719i | ||||
\(891\) | −5.85551 | + | 23.4704i | −0.196167 | + | 0.786288i | ||||
\(892\) | −1.71685 | + | 6.09158i | −0.0574845 | + | 0.203961i | ||||
\(893\) | 2.21822 | − | 4.41685i | 0.0742300 | − | 0.147804i | ||||
\(894\) | −10.5709 | + | 2.89081i | −0.353545 | + | 0.0966830i | ||||
\(895\) | 9.47553 | + | 12.7279i | 0.316732 | + | 0.425445i | ||||
\(896\) | −15.1183 | + | 1.74303i | −0.505069 | + | 0.0582307i | ||||
\(897\) | 2.79531 | − | 8.35329i | 0.0933328 | − | 0.278908i | ||||
\(898\) | 22.5447 | + | 12.7742i | 0.752327 | + | 0.426282i | ||||
\(899\) | 64.9211 | − | 11.4473i | 2.16524 | − | 0.381790i | ||||
\(900\) | −13.1747 | − | 15.3771i | −0.439158 | − | 0.512571i | ||||
\(901\) | −3.07255 | − | 0.541774i | −0.102362 | − | 0.0180491i | ||||
\(902\) | 16.7905 | + | 13.8591i | 0.559063 | + | 0.461457i | ||||
\(903\) | −4.54891 | − | 17.1790i | −0.151378 | − | 0.571682i | ||||
\(904\) | 3.89991 | − | 18.4373i | 0.129709 | − | 0.613217i | ||||
\(905\) | 1.67048 | − | 28.6811i | 0.0555288 | − | 0.953392i | ||||
\(906\) | −11.3683 | − | 6.05453i | −0.377688 | − | 0.201148i | ||||
\(907\) | −19.0468 | − | 5.70225i | −0.632440 | − | 0.189340i | −0.0454918 | − | 0.998965i | \(-0.514485\pi\) |
−0.586948 | + | 0.809625i | \(0.699671\pi\) | |||||||
\(908\) | 55.4371 | − | 4.12944i | 1.83974 | − | 0.137040i | ||||
\(909\) | −13.6130 | + | 11.2867i | −0.451516 | + | 0.374356i | ||||
\(910\) | 12.4737 | − | 3.84455i | 0.413498 | − | 0.127446i | ||||
\(911\) | 16.0207 | − | 21.5195i | 0.530790 | − | 0.712974i | −0.453158 | − | 0.891430i | \(-0.649703\pi\) |
0.983948 | + | 0.178456i | \(0.0571102\pi\) | |||||||
\(912\) | −27.2117 | + | 47.1662i | −0.901071 | + | 1.56183i | ||||
\(913\) | −9.03533 | − | 2.14141i | −0.299026 | − | 0.0708704i | ||||
\(914\) | −1.03803 | − | 4.22717i | −0.0343351 | − | 0.139822i | ||||
\(915\) | 10.0970 | + | 30.7743i | 0.333796 | + | 1.01737i | ||||
\(916\) | 42.8740 | − | 13.5950i | 1.41660 | − | 0.449190i | ||||
\(917\) | 14.1246 | − | 8.15485i | 0.466436 | − | 0.269297i | ||||
\(918\) | 1.25002 | − | 1.78237i | 0.0412569 | − | 0.0588270i | ||||
\(919\) | −16.1923 | + | 28.0459i | −0.534136 | + | 0.925150i | 0.465069 | + | 0.885274i | \(0.346030\pi\) |
−0.999205 | + | 0.0398757i | \(0.987304\pi\) | |||||||
\(920\) | −1.42490 | − | 3.09464i | −0.0469777 | − | 0.102027i | ||||
\(921\) | 18.7071 | − | 30.1299i | 0.616421 | − | 0.992814i | ||||
\(922\) | 22.0571 | + | 23.0036i | 0.726410 | + | 0.757582i | ||||
\(923\) | 13.3684 | + | 12.6124i | 0.440025 | + | 0.415142i | ||||
\(924\) | 12.4609 | − | 1.25649i | 0.409935 | − | 0.0413354i | ||||
\(925\) | −2.85429 | + | 24.4200i | −0.0938484 | + | 0.802924i | ||||
\(926\) | −8.51537 | + | 37.2698i | −0.279832 | + | 1.22476i | ||||
\(927\) | −7.80198 | + | 15.3095i | −0.256251 | + | 0.502828i | ||||
\(928\) | −21.9098 | + | 32.0584i | −0.719223 | + | 1.05237i | ||||
\(929\) | −26.7131 | − | 28.3142i | −0.876427 | − | 0.928958i | 0.121547 | − | 0.992586i | \(-0.461215\pi\) |
−0.997974 | + | 0.0636273i | \(0.979733\pi\) | |||||||
\(930\) | −28.5149 | − | 9.28639i | −0.935041 | − | 0.304513i | ||||
\(931\) | 18.3093 | + | 36.4568i | 0.600062 | + | 1.19482i | ||||
\(932\) | 9.87187 | + | 51.1356i | 0.323364 | + | 1.67500i | ||||
\(933\) | 1.46851 | + | 17.3744i | 0.0480767 | + | 0.568813i | ||||
\(934\) | 8.91575 | − | 53.0698i | 0.291732 | − | 1.73650i | ||||
\(935\) | −0.777595 | − | 0.652480i | −0.0254301 | − | 0.0213384i | ||||
\(936\) | 43.9854 | + | 12.2927i | 1.43771 | + | 0.401799i | ||||
\(937\) | −2.67379 | + | 2.24358i | −0.0873490 | + | 0.0732945i | −0.685417 | − | 0.728151i | \(-0.740380\pi\) |
0.598068 | + | 0.801446i | \(0.295935\pi\) | |||||||
\(938\) | 6.39146 | + | 10.8664i | 0.208689 | + | 0.354802i | ||||
\(939\) | −4.77834 | − | 3.80115i | −0.155935 | − | 0.124046i | ||||
\(940\) | −1.37539 | + | 0.824024i | −0.0448603 | + | 0.0268767i | ||||
\(941\) | 1.66085 | + | 14.2095i | 0.0541421 | + | 0.463215i | 0.992928 | + | 0.118715i | \(0.0378775\pi\) |
−0.938786 | + | 0.344500i | \(0.888048\pi\) | |||||||
\(942\) | −12.7616 | − | 5.87114i | −0.415795 | − | 0.191292i | ||||
\(943\) | 0.314677 | + | 5.40280i | 0.0102473 | + | 0.175939i | ||||
\(944\) | 27.5647 | + | 50.7255i | 0.897155 | + | 1.65098i | ||||
\(945\) | −8.04191 | − | 3.83688i | −0.261603 | − | 0.124814i | ||||
\(946\) | −26.7138 | − | 11.2678i | −0.868539 | − | 0.366349i | ||||
\(947\) | −5.55995 | − | 8.45349i | −0.180674 | − | 0.274702i | 0.733784 | − | 0.679383i | \(-0.237753\pi\) |
−0.914458 | + | 0.404682i | \(0.867382\pi\) | |||||||
\(948\) | 6.36483 | + | 10.0199i | 0.206720 | + | 0.325430i | ||||
\(949\) | 16.5506 | + | 7.13922i | 0.537254 | + | 0.231749i | ||||
\(950\) | 15.1359 | + | 34.3230i | 0.491073 | + | 1.11359i | ||||
\(951\) | −13.6872 | − | 7.43219i | −0.443838 | − | 0.241005i | ||||
\(952\) | −1.08731 | − | 0.296977i | −0.0352399 | − | 0.00962510i | ||||
\(953\) | 14.0194 | + | 5.10266i | 0.454134 | + | 0.165291i | 0.558952 | − | 0.829200i | \(-0.311204\pi\) |
−0.104818 | + | 0.994491i | \(0.533426\pi\) | |||||||
\(954\) | −24.4704 | + | 37.3839i | −0.792258 | + | 1.21035i | ||||
\(955\) | 5.97122 | + | 16.4058i | 0.193224 | + | 0.530879i | ||||
\(956\) | 10.8711 | + | 6.90078i | 0.351596 | + | 0.223187i | ||||
\(957\) | 18.4059 | − | 26.1223i | 0.594979 | − | 0.844413i | ||||
\(958\) | 8.89777 | + | 13.2930i | 0.287474 | + | 0.429477i | ||||
\(959\) | 20.6749 | + | 13.5981i | 0.667628 | + | 0.439106i | ||||
\(960\) | 15.6525 | − | 8.18687i | 0.505183 | − | 0.264230i | ||||
\(961\) | 59.5814 | − | 14.1210i | 1.92198 | − | 0.455518i | ||||
\(962\) | −25.2871 | − | 49.3516i | −0.815290 | − | 1.59116i | ||||
\(963\) | −2.12158 | − | 7.24158i | −0.0683670 | − | 0.233357i | ||||
\(964\) | 33.1336 | + | 3.33052i | 1.06716 | + | 0.107269i | ||||
\(965\) | 12.0185 | − | 5.18428i | 0.386890 | − | 0.166888i | ||||
\(966\) | 2.33629 | + | 2.05770i | 0.0751689 | + | 0.0662053i | ||||
\(967\) | 7.45174 | + | 24.8906i | 0.239632 | + | 0.800426i | 0.990203 | + | 0.139637i | \(0.0445934\pi\) |
−0.750571 | + | 0.660790i | \(0.770221\pi\) | |||||||
\(968\) | −5.65059 | + | 9.06277i | −0.181617 | + | 0.291289i | ||||
\(969\) | −3.17089 | + | 2.49207i | −0.101864 | + | 0.0800568i | ||||
\(970\) | 0.279009 | + | 1.51079i | 0.00895845 | + | 0.0485087i | ||||
\(971\) | 36.2630i | 1.16373i | 0.813284 | + | 0.581867i | \(0.197678\pi\) | ||||
−0.813284 | + | 0.581867i | \(0.802322\pi\) | |||||||
\(972\) | −16.4055 | − | 26.5115i | −0.526206 | − | 0.850357i | ||||
\(973\) | − | 6.10024i | − | 0.195565i | ||||||
\(974\) | −26.5510 | + | 4.90338i | −0.850750 | + | 0.157114i | ||||
\(975\) | 24.7369 | − | 19.4412i | 0.792214 | − | 0.622617i | ||||
\(976\) | 58.4335 | − | 5.30420i | 1.87041 | − | 0.169783i | ||||
\(977\) | 7.21801 | + | 24.1098i | 0.230925 | + | 0.771342i | 0.992390 | + | 0.123136i | \(0.0392953\pi\) |
−0.761465 | + | 0.648206i | \(0.775520\pi\) | |||||||
\(978\) | −12.9051 | + | 14.6523i | −0.412659 | + | 0.468530i | ||||
\(979\) | −36.0979 | + | 15.5711i | −1.15369 | + | 0.497654i | ||||
\(980\) | 1.32359 | − | 13.1677i | 0.0422806 | − | 0.420627i | ||||
\(981\) | 22.9091 | − | 23.9974i | 0.731431 | − | 0.766178i | ||||
\(982\) | 38.3988 | − | 19.6751i | 1.22536 | − | 0.627856i | ||||
\(983\) | −46.2577 | + | 10.9633i | −1.47539 | + | 0.349674i | −0.888080 | − | 0.459688i | \(-0.847961\pi\) |
−0.587310 | + | 0.809362i | \(0.699813\pi\) | |||||||
\(984\) | −27.8947 | + | 3.04081i | −0.889252 | + | 0.0969374i | ||||
\(985\) | 2.99017 | + | 1.96666i | 0.0952746 | + | 0.0626631i | ||||
\(986\) | −2.38992 | + | 1.59971i | −0.0761106 | + | 0.0509452i | ||||
\(987\) | 0.843902 | − | 1.19769i | 0.0268617 | − | 0.0381230i | ||||
\(988\) | −71.4305 | − | 45.3428i | −2.27251 | − | 1.44255i | ||||
\(989\) | −2.46497 | − | 6.77244i | −0.0783814 | − | 0.215351i | ||||
\(990\) | −12.9763 | + | 6.55265i | −0.412413 | + | 0.208257i | ||||
\(991\) | 23.3831 | + | 8.51076i | 0.742790 | + | 0.270353i | 0.685568 | − | 0.728008i | \(-0.259554\pi\) |
0.0572212 | + | 0.998362i | \(0.481776\pi\) | |||||||
\(992\) | −27.9940 | + | 46.5592i | −0.888809 | + | 1.47826i | ||||
\(993\) | −6.70659 | − | 3.64170i | −0.212827 | − | 0.115566i | ||||
\(994\) | −5.94350 | + | 2.62098i | −0.188516 | + | 0.0831326i | ||||
\(995\) | −13.1454 | − | 5.67037i | −0.416737 | − | 0.179763i | ||||
\(996\) | 10.1019 | − | 6.41696i | 0.320092 | − | 0.203329i | ||||
\(997\) | −1.26413 | − | 1.92202i | −0.0400355 | − | 0.0608710i | 0.814916 | − | 0.579580i | \(-0.196783\pi\) |
−0.854951 | + | 0.518709i | \(0.826413\pi\) | |||||||
\(998\) | −18.0698 | + | 42.8398i | −0.571989 | + | 1.35607i | ||||
\(999\) | −10.1202 | + | 36.4766i | −0.320189 | + | 1.15407i |
(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 | 648.2.bd.a.13.7 | ✓ | 1908 | |
8.5 | even | 2 | inner | 648.2.bd.a.13.39 | yes | 1908 | |
81.25 | even | 27 | inner | 648.2.bd.a.349.39 | yes | 1908 | |
648.349 | even | 54 | inner | 648.2.bd.a.349.7 | yes | 1908 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bd.a.13.7 | ✓ | 1908 | 1.1 | even | 1 | trivial | |
648.2.bd.a.13.39 | yes | 1908 | 8.5 | even | 2 | inner | |
648.2.bd.a.349.7 | yes | 1908 | 648.349 | even | 54 | inner | |
648.2.bd.a.349.39 | yes | 1908 | 81.25 | even | 27 | inner |