Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,2,Mod(13,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.n (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: | \(0.574922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + x^{14} + 2 x^{12} - 4 x^{11} - 8 x^{9} + 4 x^{8} - 16 x^{7} - 32 x^{5} + 32 x^{4} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 61.5 | ||
Root | \(0.820200 - 1.15207i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 72.61 |
Dual form | 72.2.n.b.13.5 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.587625 | − | 1.28635i | 0.415513 | − | 0.909587i | ||||
\(3\) | 1.69028 | + | 0.378078i | 0.975885 | + | 0.218283i | ||||
\(4\) | −1.30939 | − | 1.51178i | −0.654697 | − | 0.755891i | ||||
\(5\) | −1.97542 | + | 1.14051i | −0.883437 | + | 0.510052i | −0.871790 | − | 0.489880i | \(-0.837041\pi\) |
−0.0116467 | + | 0.999932i | \(0.503707\pi\) | |||||||
\(6\) | 1.47959 | − | 1.95213i | 0.604041 | − | 0.796953i | ||||
\(7\) | −0.907824 | + | 1.57240i | −0.343125 | + | 0.594311i | −0.985011 | − | 0.172490i | \(-0.944819\pi\) |
0.641886 | + | 0.766800i | \(0.278152\pi\) | |||||||
\(8\) | −2.71411 | + | 0.795980i | −0.959584 | + | 0.281421i | ||||
\(9\) | 2.71411 | + | 1.27812i | 0.904705 | + | 0.426039i | ||||
\(10\) | 0.306290 | + | 3.21128i | 0.0968573 | + | 1.01550i | ||||
\(11\) | −4.24153 | − | 2.44885i | −1.27887 | − | 0.738355i | −0.302228 | − | 0.953236i | \(-0.597730\pi\) |
−0.976640 | + | 0.214880i | \(0.931064\pi\) | |||||||
\(12\) | −1.64168 | − | 3.05039i | −0.473911 | − | 0.880573i | ||||
\(13\) | 4.00895 | − | 2.31457i | 1.11188 | − | 0.641946i | 0.172567 | − | 0.984998i | \(-0.444794\pi\) |
0.939317 | + | 0.343052i | \(0.111461\pi\) | |||||||
\(14\) | 1.48919 | + | 2.09176i | 0.398004 | + | 0.559046i | ||||
\(15\) | −3.77023 | + | 1.18092i | −0.973469 | + | 0.304913i | ||||
\(16\) | −0.570971 | + | 3.95904i | −0.142743 | + | 0.989760i | ||||
\(17\) | 1.92788 | 0.467579 | 0.233790 | − | 0.972287i | \(-0.424887\pi\) | ||||
0.233790 | + | 0.972287i | \(0.424887\pi\) | |||||||
\(18\) | 3.23899 | − | 2.74025i | 0.763437 | − | 0.645883i | ||||
\(19\) | 2.12907i | 0.488442i | 0.969720 | + | 0.244221i | \(0.0785322\pi\) | ||||
−0.969720 | + | 0.244221i | \(0.921468\pi\) | |||||||
\(20\) | 4.31082 | + | 1.49303i | 0.963928 | + | 0.333852i | ||||
\(21\) | −2.12897 | + | 2.31457i | −0.464579 | + | 0.505080i | ||||
\(22\) | −5.64250 | + | 4.01709i | −1.20299 | + | 0.856446i | ||||
\(23\) | −1.15765 | − | 2.00511i | −0.241387 | − | 0.418094i | 0.719723 | − | 0.694261i | \(-0.244269\pi\) |
−0.961109 | + | 0.276168i | \(0.910936\pi\) | |||||||
\(24\) | −4.88856 | + | 0.319285i | −0.997874 | + | 0.0651737i | ||||
\(25\) | 0.101535 | − | 0.175863i | 0.0203069 | − | 0.0351726i | ||||
\(26\) | −0.621589 | − | 6.51702i | −0.121904 | − | 1.27809i | ||||
\(27\) | 4.10439 | + | 3.18653i | 0.789891 | + | 0.613247i | ||||
\(28\) | 3.56582 | − | 0.686457i | 0.673877 | − | 0.129728i | ||||
\(29\) | 3.16440 | + | 1.82697i | 0.587615 | + | 0.339260i | 0.764154 | − | 0.645034i | \(-0.223157\pi\) |
−0.176539 | + | 0.984294i | \(0.556490\pi\) | |||||||
\(30\) | −0.696398 | + | 5.54378i | −0.127144 | + | 1.01215i | ||||
\(31\) | −2.65800 | − | 4.60379i | −0.477391 | − | 0.826865i | 0.522273 | − | 0.852778i | \(-0.325084\pi\) |
−0.999664 | + | 0.0259130i | \(0.991751\pi\) | |||||||
\(32\) | 4.75719 | + | 3.06090i | 0.840961 | + | 0.541095i | ||||
\(33\) | −6.24353 | − | 5.74287i | −1.08686 | − | 0.999706i | ||||
\(34\) | 1.13287 | − | 2.47993i | 0.194285 | − | 0.425304i | ||||
\(35\) | − | 4.14154i | − | 0.700048i | ||||||
\(36\) | −1.62161 | − | 5.77671i | −0.270269 | − | 0.962785i | ||||
\(37\) | − | 7.98438i | − | 1.31262i | −0.754489 | − | 0.656312i | \(-0.772115\pi\) | ||
0.754489 | − | 0.656312i | \(-0.227885\pi\) | |||||||
\(38\) | 2.73873 | + | 1.25109i | 0.444280 | + | 0.202954i | ||||
\(39\) | 7.65135 | − | 2.39658i | 1.22520 | − | 0.383760i | ||||
\(40\) | 4.45370 | − | 4.66788i | 0.704192 | − | 0.738056i | ||||
\(41\) | −2.36240 | − | 4.09180i | −0.368946 | − | 0.639033i | 0.620455 | − | 0.784242i | \(-0.286948\pi\) |
−0.989401 | + | 0.145209i | \(0.953614\pi\) | |||||||
\(42\) | 1.72631 | + | 4.09870i | 0.266376 | + | 0.632443i | ||||
\(43\) | −2.20800 | − | 1.27479i | −0.336717 | − | 0.194404i | 0.322102 | − | 0.946705i | \(-0.395610\pi\) |
−0.658819 | + | 0.752301i | \(0.728944\pi\) | |||||||
\(44\) | 1.85171 | + | 9.61877i | 0.279156 | + | 1.45008i | ||||
\(45\) | −6.81924 | + | 0.570655i | −1.01655 | + | 0.0850683i | ||||
\(46\) | −3.25953 | + | 0.310892i | −0.480592 | + | 0.0458386i | ||||
\(47\) | −2.02005 | + | 3.49884i | −0.294655 | + | 0.510358i | −0.974905 | − | 0.222623i | \(-0.928538\pi\) |
0.680249 | + | 0.732981i | \(0.261871\pi\) | |||||||
\(48\) | −2.46193 | + | 6.47603i | −0.355349 | + | 0.934734i | ||||
\(49\) | 1.85171 | + | 3.20726i | 0.264530 | + | 0.458179i | ||||
\(50\) | −0.166557 | − | 0.233951i | −0.0235548 | − | 0.0330856i | ||||
\(51\) | 3.25866 | + | 0.728888i | 0.456304 | + | 0.102065i | ||||
\(52\) | −8.74843 | − | 3.02998i | −1.21319 | − | 0.420182i | ||||
\(53\) | 8.95958i | 1.23069i | 0.788257 | + | 0.615347i | \(0.210984\pi\) | ||||
−0.788257 | + | 0.615347i | \(0.789016\pi\) | |||||||
\(54\) | 6.51083 | − | 3.40721i | 0.886012 | − | 0.463662i | ||||
\(55\) | 11.1718 | 1.50640 | ||||||||
\(56\) | 1.21234 | − | 4.99028i | 0.162006 | − | 0.666854i | ||||
\(57\) | −0.804954 | + | 3.59873i | −0.106619 | + | 0.476663i | ||||
\(58\) | 4.20960 | − | 2.99696i | 0.552748 | − | 0.393520i | ||||
\(59\) | 3.05255 | − | 1.76239i | 0.397408 | − | 0.229444i | −0.287957 | − | 0.957643i | \(-0.592976\pi\) |
0.685365 | + | 0.728200i | \(0.259643\pi\) | |||||||
\(60\) | 6.72202 | + | 4.15347i | 0.867809 | + | 0.536211i | ||||
\(61\) | 1.71675 | + | 0.991165i | 0.219807 | + | 0.126906i | 0.605861 | − | 0.795571i | \(-0.292829\pi\) |
−0.386054 | + | 0.922476i | \(0.626162\pi\) | |||||||
\(62\) | −7.48399 | + | 0.713818i | −0.950468 | + | 0.0906550i | ||||
\(63\) | −4.47365 | + | 3.10736i | −0.563627 | + | 0.391491i | ||||
\(64\) | 6.73283 | − | 4.32076i | 0.841604 | − | 0.540095i | ||||
\(65\) | −5.27959 | + | 9.14451i | −0.654852 | + | 1.13424i | ||||
\(66\) | −11.0562 | + | 4.65671i | −1.36092 | + | 0.573201i | ||||
\(67\) | −7.72723 | + | 4.46132i | −0.944031 | + | 0.545036i | −0.891222 | − | 0.453568i | \(-0.850151\pi\) |
−0.0528093 | + | 0.998605i | \(0.516818\pi\) | |||||||
\(68\) | −2.52435 | − | 2.91453i | −0.306123 | − | 0.353439i | ||||
\(69\) | −1.19867 | − | 3.82688i | −0.144303 | − | 0.460702i | ||||
\(70\) | −5.32747 | − | 2.43367i | −0.636754 | − | 0.290879i | ||||
\(71\) | 13.3561 | 1.58508 | 0.792539 | − | 0.609821i | \(-0.208759\pi\) | ||||
0.792539 | + | 0.609821i | \(0.208759\pi\) | |||||||
\(72\) | −8.38377 | − | 1.30858i | −0.988037 | − | 0.154217i | ||||
\(73\) | −11.5592 | −1.35290 | −0.676450 | − | 0.736489i | \(-0.736482\pi\) | ||||
−0.676450 | + | 0.736489i | \(0.736482\pi\) | |||||||
\(74\) | −10.2707 | − | 4.69182i | −1.19395 | − | 0.545413i | ||||
\(75\) | 0.238112 | − | 0.258870i | 0.0274948 | − | 0.0298918i | ||||
\(76\) | 3.21869 | − | 2.78779i | 0.369209 | − | 0.319782i | ||||
\(77\) | 7.70112 | − | 4.44625i | 0.877625 | − | 0.506697i | ||||
\(78\) | 1.41328 | − | 11.2506i | 0.160022 | − | 1.27388i | ||||
\(79\) | −4.97330 | + | 8.61401i | −0.559540 | + | 0.969151i | 0.437995 | + | 0.898977i | \(0.355689\pi\) |
−0.997535 | + | 0.0701739i | \(0.977645\pi\) | |||||||
\(80\) | −3.38742 | − | 8.47198i | −0.378725 | − | 0.947196i | ||||
\(81\) | 5.73283 | + | 6.93791i | 0.636981 | + | 0.770879i | ||||
\(82\) | −6.65170 | + | 0.634435i | −0.734558 | + | 0.0700616i | ||||
\(83\) | 3.12153 | + | 1.80221i | 0.342632 | + | 0.197819i | 0.661435 | − | 0.750002i | \(-0.269948\pi\) |
−0.318803 | + | 0.947821i | \(0.603281\pi\) | |||||||
\(84\) | 6.28679 | + | 0.187853i | 0.685945 | + | 0.0204964i | ||||
\(85\) | −3.80838 | + | 2.19877i | −0.413077 | + | 0.238490i | ||||
\(86\) | −2.93730 | + | 2.09116i | −0.316737 | + | 0.225496i | ||||
\(87\) | 4.65800 | + | 4.28448i | 0.499390 | + | 0.459345i | ||||
\(88\) | 13.4612 | + | 3.27028i | 1.43497 | + | 0.348613i | ||||
\(89\) | 2.49965 | 0.264962 | 0.132481 | − | 0.991186i | \(-0.457706\pi\) | ||||
0.132481 | + | 0.991186i | \(0.457706\pi\) | |||||||
\(90\) | −3.27309 | + | 9.10726i | −0.345014 | + | 0.959989i | ||||
\(91\) | 8.40489i | 0.881072i | ||||||||
\(92\) | −1.51547 | + | 4.37559i | −0.157998 | + | 0.456187i | ||||
\(93\) | −2.75218 | − | 8.78664i | −0.285388 | − | 0.911132i | ||||
\(94\) | 3.31370 | + | 4.65450i | 0.341782 | + | 0.480075i | ||||
\(95\) | −2.42823 | − | 4.20582i | −0.249131 | − | 0.431508i | ||||
\(96\) | 6.88375 | + | 6.97237i | 0.702570 | + | 0.711615i | ||||
\(97\) | 6.99370 | − | 12.1134i | 0.710103 | − | 1.22993i | −0.254715 | − | 0.967016i | \(-0.581982\pi\) |
0.964818 | − | 0.262918i | \(-0.0846849\pi\) | |||||||
\(98\) | 5.21376 | − | 0.497285i | 0.526670 | − | 0.0502334i | ||||
\(99\) | −8.38208 | − | 12.0676i | −0.842430 | − | 1.21284i | ||||
\(100\) | −0.398816 | + | 0.0767760i | −0.0398816 | + | 0.00767760i | ||||
\(101\) | −1.13087 | − | 0.652911i | −0.112526 | − | 0.0649671i | 0.442681 | − | 0.896679i | \(-0.354028\pi\) |
−0.555207 | + | 0.831712i | \(0.687361\pi\) | |||||||
\(102\) | 2.85247 | − | 3.76347i | 0.282437 | − | 0.372639i | ||||
\(103\) | −3.22312 | − | 5.58261i | −0.317584 | − | 0.550071i | 0.662400 | − | 0.749151i | \(-0.269538\pi\) |
−0.979983 | + | 0.199080i | \(0.936205\pi\) | |||||||
\(104\) | −9.03840 | + | 9.47305i | −0.886288 | + | 0.928909i | ||||
\(105\) | 1.56582 | − | 7.00037i | 0.152809 | − | 0.683166i | ||||
\(106\) | 11.5252 | + | 5.26487i | 1.11942 | + | 0.511370i | ||||
\(107\) | 3.10427i | 0.300101i | 0.988678 | + | 0.150051i | \(0.0479437\pi\) | ||||
−0.988678 | + | 0.150051i | \(0.952056\pi\) | |||||||
\(108\) | −0.556936 | − | 10.3774i | −0.0535912 | − | 0.998563i | ||||
\(109\) | 18.0837i | 1.73210i | 0.499955 | + | 0.866051i | \(0.333350\pi\) | ||||
−0.499955 | + | 0.866051i | \(0.666650\pi\) | |||||||
\(110\) | 6.56480 | − | 14.3708i | 0.625929 | − | 1.37020i | ||||
\(111\) | 3.01872 | − | 13.4959i | 0.286524 | − | 1.28097i | ||||
\(112\) | −5.70684 | − | 4.49191i | −0.539246 | − | 0.424445i | ||||
\(113\) | −1.41718 | − | 2.45463i | −0.133317 | − | 0.230913i | 0.791636 | − | 0.610993i | \(-0.209230\pi\) |
−0.924953 | + | 0.380080i | \(0.875896\pi\) | |||||||
\(114\) | 4.15622 | + | 3.15015i | 0.389265 | + | 0.295039i | ||||
\(115\) | 4.57370 | + | 2.64063i | 0.426500 | + | 0.246240i | ||||
\(116\) | −1.38147 | − | 7.17611i | −0.128267 | − | 0.666285i | ||||
\(117\) | 13.8390 | − | 1.15810i | 1.27942 | − | 0.107066i | ||||
\(118\) | −0.473298 | − | 4.96227i | −0.0435706 | − | 0.456814i | ||||
\(119\) | −1.75018 | + | 3.03139i | −0.160438 | + | 0.277887i | ||||
\(120\) | 9.29284 | − | 6.20619i | 0.848316 | − | 0.566545i | ||||
\(121\) | 6.49370 | + | 11.2474i | 0.590337 | + | 1.02249i | ||||
\(122\) | 2.28379 | − | 1.62591i | 0.206764 | − | 0.147203i | ||||
\(123\) | −2.44611 | − | 7.80948i | −0.220558 | − | 0.704157i | ||||
\(124\) | −3.47956 | + | 10.0465i | −0.312474 | + | 0.902202i | ||||
\(125\) | − | 10.9419i | − | 0.978674i | ||||||
\(126\) | 1.36833 | + | 7.58064i | 0.121901 | + | 0.675337i | ||||
\(127\) | −7.44962 | −0.661047 | −0.330523 | − | 0.943798i | \(-0.607225\pi\) | ||||
−0.330523 | + | 0.943798i | \(0.607225\pi\) | |||||||
\(128\) | −1.60163 | − | 11.1998i | −0.141566 | − | 0.989929i | ||||
\(129\) | −3.25018 | − | 2.98955i | −0.286162 | − | 0.263215i | ||||
\(130\) | 8.66063 | + | 12.1649i | 0.759588 | + | 1.06694i | ||||
\(131\) | −3.12153 | + | 1.80221i | −0.272729 | + | 0.157460i | −0.630127 | − | 0.776492i | \(-0.716997\pi\) |
0.357398 | + | 0.933952i | \(0.383664\pi\) | |||||||
\(132\) | −0.506732 | + | 16.9585i | −0.0441053 | + | 1.47605i | ||||
\(133\) | −3.34774 | − | 1.93282i | −0.290286 | − | 0.167597i | ||||
\(134\) | 1.19811 | + | 12.5615i | 0.103501 | + | 1.08515i | ||||
\(135\) | −11.7422 | − | 1.61363i | −1.01061 | − | 0.138879i | ||||
\(136\) | −5.23248 | + | 1.53455i | −0.448682 | + | 0.131587i | ||||
\(137\) | 5.88147 | − | 10.1870i | 0.502488 | − | 0.870335i | −0.497508 | − | 0.867460i | \(-0.665751\pi\) |
0.999996 | − | 0.00287543i | \(-0.000915278\pi\) | |||||||
\(138\) | −5.62708 | − | 0.706862i | −0.479009 | − | 0.0601721i | ||||
\(139\) | 11.0400 | − | 6.37395i | 0.936400 | − | 0.540631i | 0.0475703 | − | 0.998868i | \(-0.484852\pi\) |
0.888830 | + | 0.458237i | \(0.151519\pi\) | |||||||
\(140\) | −6.26110 | + | 5.42291i | −0.529160 | + | 0.458319i | ||||
\(141\) | −4.73730 | + | 5.15029i | −0.398952 | + | 0.433732i | ||||
\(142\) | 7.84838 | − | 17.1806i | 0.658621 | − | 1.44177i | ||||
\(143\) | −22.6721 | −1.89594 | ||||||||
\(144\) | −6.60980 | + | 10.0155i | −0.550817 | + | 0.834626i | ||||
\(145\) | −8.33472 | −0.692161 | ||||||||
\(146\) | −6.79246 | + | 14.8692i | −0.562148 | + | 1.23058i | ||||
\(147\) | 1.91732 | + | 6.12126i | 0.158138 | + | 0.504873i | ||||
\(148\) | −12.0706 | + | 10.4547i | −0.992201 | + | 0.859372i | ||||
\(149\) | −6.59790 | + | 3.80930i | −0.540521 | + | 0.312070i | −0.745290 | − | 0.666740i | \(-0.767689\pi\) |
0.204769 | + | 0.978810i | \(0.434356\pi\) | |||||||
\(150\) | −0.193077 | − | 0.458414i | −0.0157647 | − | 0.0374294i | ||||
\(151\) | 2.26988 | − | 3.93155i | 0.184720 | − | 0.319945i | −0.758762 | − | 0.651368i | \(-0.774195\pi\) |
0.943482 | + | 0.331423i | \(0.107529\pi\) | |||||||
\(152\) | −1.69470 | − | 5.77854i | −0.137458 | − | 0.468701i | ||||
\(153\) | 5.23248 | + | 2.46405i | 0.423021 | + | 0.199207i | ||||
\(154\) | −1.19406 | − | 12.5191i | −0.0962201 | − | 1.00882i | ||||
\(155\) | 10.5014 | + | 6.06296i | 0.843489 | + | 0.486989i | ||||
\(156\) | −13.6417 | − | 8.42911i | −1.09221 | − | 0.674869i | ||||
\(157\) | −11.4105 | + | 6.58787i | −0.910659 | + | 0.525769i | −0.880643 | − | 0.473780i | \(-0.842889\pi\) |
−0.0300161 | + | 0.999549i | \(0.509556\pi\) | |||||||
\(158\) | 8.15820 | + | 11.4592i | 0.649031 | + | 0.911645i | ||||
\(159\) | −3.38742 | + | 15.1442i | −0.268640 | + | 1.20102i | ||||
\(160\) | −12.8885 | − | 0.620936i | −1.01892 | − | 0.0490893i | ||||
\(161\) | 4.20377 | 0.331303 | ||||||||
\(162\) | 12.2933 | − | 3.29754i | 0.965856 | − | 0.259079i | ||||
\(163\) | − | 20.5911i | − | 1.61282i | −0.591358 | − | 0.806409i | \(-0.701408\pi\) | ||
0.591358 | − | 0.806409i | \(-0.298592\pi\) | |||||||
\(164\) | −3.09260 | + | 8.92923i | −0.241491 | + | 0.697256i | ||||
\(165\) | 18.8834 | + | 4.22379i | 1.47007 | + | 0.328822i | ||||
\(166\) | 4.15257 | − | 2.95635i | 0.322302 | − | 0.229457i | ||||
\(167\) | 2.53912 | + | 4.39789i | 0.196483 | + | 0.340319i | 0.947386 | − | 0.320094i | \(-0.103715\pi\) |
−0.750903 | + | 0.660413i | \(0.770381\pi\) | |||||||
\(168\) | 3.93592 | − | 7.97662i | 0.303662 | − | 0.615410i | ||||
\(169\) | 4.21446 | − | 7.29967i | 0.324190 | − | 0.561513i | ||||
\(170\) | 0.590490 | + | 6.19096i | 0.0452885 | + | 0.474825i | ||||
\(171\) | −2.72120 | + | 5.77854i | −0.208095 | + | 0.441896i | ||||
\(172\) | 0.963939 | + | 5.00722i | 0.0734997 | + | 0.381797i | ||||
\(173\) | −11.0398 | − | 6.37385i | −0.839343 | − | 0.484595i | 0.0176977 | − | 0.999843i | \(-0.494366\pi\) |
−0.857041 | + | 0.515248i | \(0.827700\pi\) | |||||||
\(174\) | 8.24850 | − | 3.47415i | 0.625317 | − | 0.263375i | ||||
\(175\) | 0.184351 | + | 0.319306i | 0.0139356 | + | 0.0241372i | ||||
\(176\) | 12.1169 | − | 15.3942i | 0.913344 | − | 1.16038i | ||||
\(177\) | 5.82599 | − | 1.82484i | 0.437908 | − | 0.137163i | ||||
\(178\) | 1.46886 | − | 3.21543i | 0.110095 | − | 0.241006i | ||||
\(179\) | 8.82019i | 0.659252i | 0.944112 | + | 0.329626i | \(0.106923\pi\) | ||||
−0.944112 | + | 0.329626i | \(0.893077\pi\) | |||||||
\(180\) | 9.79178 | + | 9.56199i | 0.729836 | + | 0.712708i | ||||
\(181\) | − | 15.4369i | − | 1.14741i | −0.819061 | − | 0.573707i | \(-0.805505\pi\) | ||
0.819061 | − | 0.573707i | \(-0.194495\pi\) | |||||||
\(182\) | 10.8116 | + | 4.93892i | 0.801412 | + | 0.366097i | ||||
\(183\) | 2.52705 | + | 2.32441i | 0.186805 | + | 0.171826i | ||||
\(184\) | 4.73802 | + | 4.52063i | 0.349291 | + | 0.333265i | ||||
\(185\) | 9.10628 | + | 15.7725i | 0.669507 | + | 1.15962i | ||||
\(186\) | −12.9199 | − | 1.62298i | −0.947336 | − | 0.119002i | ||||
\(187\) | −8.17715 | − | 4.72108i | −0.597972 | − | 0.345239i | ||||
\(188\) | 7.93453 | − | 1.52748i | 0.578685 | − | 0.111403i | ||||
\(189\) | −8.73656 | + | 3.56093i | −0.635491 | + | 0.259020i | ||||
\(190\) | −6.83704 | + | 0.652112i | −0.496011 | + | 0.0473092i | ||||
\(191\) | 4.81698 | − | 8.34326i | 0.348545 | − | 0.603697i | −0.637446 | − | 0.770495i | \(-0.720009\pi\) |
0.985991 | + | 0.166797i | \(0.0533426\pi\) | |||||||
\(192\) | 13.0140 | − | 4.75777i | 0.939203 | − | 0.343363i | ||||
\(193\) | 3.49335 | + | 6.05066i | 0.251457 | + | 0.435536i | 0.963927 | − | 0.266166i | \(-0.0857570\pi\) |
−0.712470 | + | 0.701702i | \(0.752424\pi\) | |||||||
\(194\) | −11.4725 | − | 16.1145i | −0.823675 | − | 1.15695i | ||||
\(195\) | −12.3813 | + | 13.4607i | −0.886646 | + | 0.963942i | ||||
\(196\) | 2.42405 | − | 6.99894i | 0.173147 | − | 0.499925i | ||||
\(197\) | − | 4.31842i | − | 0.307675i | −0.988096 | − | 0.153837i | \(-0.950837\pi\) | ||
0.988096 | − | 0.153837i | \(-0.0491632\pi\) | |||||||
\(198\) | −20.4487 | + | 3.69106i | −1.45323 | + | 0.262312i | ||||
\(199\) | 5.90649 | 0.418700 | 0.209350 | − | 0.977841i | \(-0.432865\pi\) | ||||
0.209350 | + | 0.977841i | \(0.432865\pi\) | |||||||
\(200\) | −0.135593 | + | 0.558132i | −0.00958787 | + | 0.0394659i | ||||
\(201\) | −14.7479 | + | 4.61939i | −1.04024 | + | 0.325827i | ||||
\(202\) | −1.50440 | + | 1.07103i | −0.105849 | + | 0.0753577i | ||||
\(203\) | −5.74544 | + | 3.31713i | −0.403251 | + | 0.232817i | ||||
\(204\) | −3.16495 | − | 5.88079i | −0.221591 | − | 0.411737i | ||||
\(205\) | 9.33350 | + | 5.38870i | 0.651880 | + | 0.376363i | ||||
\(206\) | −9.07518 | + | 0.865585i | −0.632298 | + | 0.0603082i | ||||
\(207\) | −0.579230 | − | 6.92170i | −0.0402593 | − | 0.481092i | ||||
\(208\) | 6.87447 | + | 17.1932i | 0.476659 | + | 1.19213i | ||||
\(209\) | 5.21376 | − | 9.03050i | 0.360644 | − | 0.624653i | ||||
\(210\) | −8.08481 | − | 6.12779i | −0.557905 | − | 0.422858i | ||||
\(211\) | 15.8781 | − | 9.16723i | 1.09309 | − | 0.631098i | 0.158696 | − | 0.987328i | \(-0.449271\pi\) |
0.934399 | + | 0.356229i | \(0.115938\pi\) | |||||||
\(212\) | 13.5449 | − | 11.7316i | 0.930270 | − | 0.805732i | ||||
\(213\) | 22.5756 | + | 5.04965i | 1.54685 | + | 0.345996i | ||||
\(214\) | 3.99318 | + | 1.82415i | 0.272968 | + | 0.124696i | ||||
\(215\) | 5.81565 | 0.396624 | ||||||||
\(216\) | −13.6762 | − | 5.38158i | −0.930548 | − | 0.366170i | ||||
\(217\) | 9.65199 | 0.655220 | ||||||||
\(218\) | 23.2619 | + | 10.6264i | 1.57550 | + | 0.719712i | ||||
\(219\) | −19.5383 | − | 4.37027i | −1.32027 | − | 0.295315i | ||||
\(220\) | −14.6282 | − | 16.8893i | −0.986236 | − | 1.13867i | ||||
\(221\) | 7.72877 | − | 4.46221i | 0.519893 | − | 0.300161i | ||||
\(222\) | −15.5865 | − | 11.8136i | −1.04610 | − | 0.792879i | ||||
\(223\) | −2.63263 | + | 4.55986i | −0.176294 | + | 0.305350i | −0.940608 | − | 0.339494i | \(-0.889744\pi\) |
0.764314 | + | 0.644844i | \(0.223078\pi\) | |||||||
\(224\) | −9.13165 | + | 4.70145i | −0.610134 | + | 0.314129i | ||||
\(225\) | 0.500350 | − | 0.347539i | 0.0333567 | − | 0.0231693i | ||||
\(226\) | −3.99029 | + | 0.380591i | −0.265430 | + | 0.0253166i | ||||
\(227\) | −1.53638 | − | 0.887027i | −0.101973 | − | 0.0588741i | 0.448146 | − | 0.893960i | \(-0.352084\pi\) |
−0.550119 | + | 0.835086i | \(0.685418\pi\) | |||||||
\(228\) | 6.49450 | − | 3.49524i | 0.430109 | − | 0.231478i | ||||
\(229\) | 3.30687 | − | 1.90922i | 0.218524 | − | 0.126165i | −0.386742 | − | 0.922188i | \(-0.626400\pi\) |
0.605267 | + | 0.796023i | \(0.293066\pi\) | |||||||
\(230\) | 6.08439 | − | 4.33168i | 0.401193 | − | 0.285623i | ||||
\(231\) | 14.6981 | − | 4.60379i | 0.967064 | − | 0.302907i | ||||
\(232\) | −10.0428 | − | 2.43980i | −0.659341 | − | 0.160181i | ||||
\(233\) | −20.3207 | −1.33125 | −0.665627 | − | 0.746284i | \(-0.731836\pi\) | ||||
−0.665627 | + | 0.746284i | \(0.731836\pi\) | |||||||
\(234\) | 6.64245 | − | 18.4824i | 0.434230 | − | 1.20823i | ||||
\(235\) | − | 9.21558i | − | 0.601158i | ||||||
\(236\) | −6.66134 | − | 2.30713i | −0.433616 | − | 0.150181i | ||||
\(237\) | −11.6630 | + | 12.6798i | −0.757596 | + | 0.823642i | ||||
\(238\) | 2.87099 | + | 4.03266i | 0.186098 | + | 0.261398i | ||||
\(239\) | 8.69811 | + | 15.0656i | 0.562634 | + | 0.974510i | 0.997266 | + | 0.0739020i | \(0.0235452\pi\) |
−0.434632 | + | 0.900608i | \(0.643121\pi\) | |||||||
\(240\) | −2.52263 | − | 15.6008i | −0.162835 | − | 1.00702i | ||||
\(241\) | −6.85611 | + | 11.8751i | −0.441641 | + | 0.764944i | −0.997811 | − | 0.0661240i | \(-0.978937\pi\) |
0.556171 | + | 0.831068i | \(0.312270\pi\) | |||||||
\(242\) | 18.2840 | − | 1.74391i | 1.17534 | − | 0.112103i | ||||
\(243\) | 7.06704 | + | 13.8945i | 0.453351 | + | 0.891332i | ||||
\(244\) | −0.749475 | − | 3.89317i | −0.0479802 | − | 0.249235i | ||||
\(245\) | −7.31583 | − | 4.22379i | −0.467391 | − | 0.269848i | ||||
\(246\) | −11.4831 | − | 1.44249i | −0.732137 | − | 0.0919696i | ||||
\(247\) | 4.92788 | + | 8.53534i | 0.313553 | + | 0.543090i | ||||
\(248\) | 10.8786 | + | 10.3795i | 0.690794 | + | 0.659099i | ||||
\(249\) | 4.59489 | + | 4.22643i | 0.291189 | + | 0.267839i | ||||
\(250\) | −14.0751 | − | 6.42974i | −0.890190 | − | 0.406652i | ||||
\(251\) | 4.50751i | 0.284512i | 0.989830 | + | 0.142256i | \(0.0454356\pi\) | ||||
−0.989830 | + | 0.142256i | \(0.954564\pi\) | |||||||
\(252\) | 10.5554 | + | 2.69442i | 0.664929 | + | 0.169732i | ||||
\(253\) | 11.3396i | 0.712916i | ||||||||
\(254\) | −4.37758 | + | 9.58282i | −0.274674 | + | 0.601280i | ||||
\(255\) | −7.26854 | + | 2.27668i | −0.455174 | + | 0.142571i | ||||
\(256\) | −15.3480 | − | 4.52100i | −0.959249 | − | 0.282562i | ||||
\(257\) | −4.11258 | − | 7.12320i | −0.256536 | − | 0.444333i | 0.708776 | − | 0.705434i | \(-0.249248\pi\) |
−0.965311 | + | 0.261101i | \(0.915914\pi\) | |||||||
\(258\) | −5.75549 | + | 2.42413i | −0.358321 | + | 0.150920i | ||||
\(259\) | 12.5546 | + | 7.24842i | 0.780106 | + | 0.450395i | ||||
\(260\) | 20.7376 | − | 3.99219i | 1.28609 | − | 0.247585i | ||||
\(261\) | 6.25347 | + | 9.00308i | 0.387080 | + | 0.557277i | ||||
\(262\) | 0.483993 | + | 5.07440i | 0.0299012 | + | 0.313498i | ||||
\(263\) | 2.51376 | − | 4.35395i | 0.155005 | − | 0.268476i | −0.778056 | − | 0.628195i | \(-0.783794\pi\) |
0.933061 | + | 0.359719i | \(0.117127\pi\) | |||||||
\(264\) | 21.5169 | + | 10.6171i | 1.32427 | + | 0.653437i | ||||
\(265\) | −10.2185 | − | 17.6990i | −0.627718 | − | 1.08724i | ||||
\(266\) | −4.45350 | + | 3.17060i | −0.273062 | + | 0.194402i | ||||
\(267\) | 4.22512 | + | 0.945062i | 0.258573 | + | 0.0578369i | ||||
\(268\) | 16.8625 | + | 5.84026i | 1.03004 | + | 0.356751i | ||||
\(269\) | − | 23.1577i | − | 1.41195i | −0.708236 | − | 0.705976i | \(-0.750509\pi\) | ||
0.708236 | − | 0.705976i | \(-0.249491\pi\) | |||||||
\(270\) | −8.97570 | + | 14.1564i | −0.546244 | + | 0.861529i | ||||
\(271\) | 20.9367 | 1.27181 | 0.635906 | − | 0.771766i | \(-0.280627\pi\) | ||||
0.635906 | + | 0.771766i | \(0.280627\pi\) | |||||||
\(272\) | −1.10076 | + | 7.63255i | −0.0667436 | + | 0.462791i | ||||
\(273\) | −3.17770 | + | 14.2066i | −0.192323 | + | 0.859825i | ||||
\(274\) | −9.64797 | − | 13.5518i | −0.582855 | − | 0.818693i | ||||
\(275\) | −0.861323 | + | 0.497285i | −0.0519398 | + | 0.0299874i | ||||
\(276\) | −4.21588 | + | 6.82302i | −0.253766 | + | 0.410698i | ||||
\(277\) | −19.2687 | − | 11.1248i | −1.15775 | − | 0.668425i | −0.206983 | − | 0.978345i | \(-0.566364\pi\) |
−0.950763 | + | 0.309920i | \(0.899698\pi\) | |||||||
\(278\) | −1.71175 | − | 17.9468i | −0.102664 | − | 1.07638i | ||||
\(279\) | −1.32993 | − | 15.8924i | −0.0796208 | − | 0.951456i | ||||
\(280\) | 3.29658 | + | 11.2406i | 0.197008 | + | 0.671755i | ||||
\(281\) | −9.28029 | + | 16.0739i | −0.553616 | + | 0.958890i | 0.444394 | + | 0.895831i | \(0.353419\pi\) |
−0.998010 | + | 0.0630590i | \(0.979914\pi\) | |||||||
\(282\) | 3.84132 | + | 9.12026i | 0.228747 | + | 0.543103i | ||||
\(283\) | −1.75962 | + | 1.01592i | −0.104599 | + | 0.0603901i | −0.551387 | − | 0.834250i | \(-0.685901\pi\) |
0.446788 | + | 0.894640i | \(0.352568\pi\) | |||||||
\(284\) | −17.4884 | − | 20.1915i | −1.03775 | − | 1.19815i | ||||
\(285\) | −2.51427 | − | 8.02708i | −0.148932 | − | 0.475483i | ||||
\(286\) | −13.3227 | + | 29.1643i | −0.787787 | + | 1.72452i | ||||
\(287\) | 8.57859 | 0.506378 | ||||||||
\(288\) | 8.99938 | + | 14.3879i | 0.530294 | + | 0.847814i | ||||
\(289\) | −13.2833 | −0.781370 | ||||||||
\(290\) | −4.89768 | + | 10.7214i | −0.287602 | + | 0.629580i | ||||
\(291\) | 16.4012 | − | 17.8310i | 0.961453 | − | 1.04527i | ||||
\(292\) | 15.1355 | + | 17.4750i | 0.885739 | + | 1.02264i | ||||
\(293\) | −29.5484 | + | 17.0598i | −1.72623 | + | 0.996642i | −0.822178 | + | 0.569231i | \(0.807241\pi\) |
−0.904057 | + | 0.427411i | \(0.859426\pi\) | |||||||
\(294\) | 9.00075 | + | 1.13066i | 0.524934 | + | 0.0659412i | ||||
\(295\) | −4.02005 | + | 6.96294i | −0.234057 | + | 0.405398i | ||||
\(296\) | 6.35541 | + | 21.6705i | 0.369401 | + | 1.25957i | ||||
\(297\) | −9.60558 | − | 23.5668i | −0.557372 | − | 1.36748i | ||||
\(298\) | 1.02300 | + | 10.7256i | 0.0592611 | + | 0.621320i | ||||
\(299\) | −9.28192 | − | 5.35892i | −0.536787 | − | 0.309914i | ||||
\(300\) | −0.703138 | − | 0.0210102i | −0.0405957 | − | 0.00121302i | ||||
\(301\) | 4.00895 | − | 2.31457i | 0.231072 | − | 0.133410i | ||||
\(302\) | −3.72351 | − | 5.23013i | −0.214264 | − | 0.300960i | ||||
\(303\) | −1.66465 | − | 1.53116i | −0.0956315 | − | 0.0879630i | ||||
\(304\) | −8.42907 | − | 1.21564i | −0.483440 | − | 0.0697216i | ||||
\(305\) | −4.52174 | −0.258914 | ||||||||
\(306\) | 6.24437 | − | 5.28287i | 0.356967 | − | 0.302001i | ||||
\(307\) | 4.77588i | 0.272574i | 0.990669 | + | 0.136287i | \(0.0435169\pi\) | ||||
−0.990669 | + | 0.136287i | \(0.956483\pi\) | |||||||
\(308\) | −16.8056 | − | 5.82053i | −0.957586 | − | 0.331656i | ||||
\(309\) | −3.33733 | − | 10.6548i | −0.189854 | − | 0.606130i | ||||
\(310\) | 13.9699 | − | 9.94568i | 0.793440 | − | 0.564876i | ||||
\(311\) | −11.1771 | − | 19.3592i | −0.633793 | − | 1.09776i | −0.986769 | − | 0.162130i | \(-0.948164\pi\) |
0.352976 | − | 0.935632i | \(-0.385170\pi\) | |||||||
\(312\) | −18.8590 | + | 12.5949i | −1.06768 | + | 0.713047i | ||||
\(313\) | 1.22411 | − | 2.12022i | 0.0691907 | − | 0.119842i | −0.829355 | − | 0.558723i | \(-0.811292\pi\) |
0.898545 | + | 0.438881i | \(0.144625\pi\) | |||||||
\(314\) | 1.76920 | + | 18.5491i | 0.0998420 | + | 1.04679i | ||||
\(315\) | 5.29337 | − | 11.2406i | 0.298248 | − | 0.633336i | ||||
\(316\) | 19.5345 | − | 3.76059i | 1.09890 | − | 0.211550i | ||||
\(317\) | 14.2886 | + | 8.24953i | 0.802528 | + | 0.463340i | 0.844354 | − | 0.535785i | \(-0.179984\pi\) |
−0.0418263 | + | 0.999125i | \(0.513318\pi\) | |||||||
\(318\) | 17.4903 | + | 13.2565i | 0.980805 | + | 0.743389i | ||||
\(319\) | −8.94793 | − | 15.4983i | −0.500988 | − | 0.867737i | ||||
\(320\) | −8.37232 | + | 16.2142i | −0.468027 | + | 0.906402i | ||||
\(321\) | −1.17366 | + | 5.24710i | −0.0655071 | + | 0.292864i | ||||
\(322\) | 2.47024 | − | 5.40752i | 0.137661 | − | 0.301349i | ||||
\(323\) | 4.10459i | 0.228385i | ||||||||
\(324\) | 2.98207 | − | 17.7513i | 0.165671 | − | 0.986181i | ||||
\(325\) | − | 0.940035i | − | 0.0521438i | ||||||
\(326\) | −26.4874 | − | 12.0998i | −1.46700 | − | 0.670148i | ||||
\(327\) | −6.83704 | + | 30.5665i | −0.378089 | + | 1.69033i | ||||
\(328\) | 9.66883 | + | 9.22520i | 0.533872 | + | 0.509376i | ||||
\(329\) | −3.66771 | − | 6.35266i | −0.202207 | − | 0.350233i | ||||
\(330\) | 16.5296 | − | 21.8087i | 0.909927 | − | 1.20053i | ||||
\(331\) | 0.329200 | + | 0.190064i | 0.0180945 | + | 0.0104469i | 0.509020 | − | 0.860755i | \(-0.330008\pi\) |
−0.490925 | + | 0.871202i | \(0.663341\pi\) | |||||||
\(332\) | −1.36275 | − | 7.07888i | −0.0747909 | − | 0.388504i | ||||
\(333\) | 10.2050 | − | 21.6705i | 0.559229 | − | 1.18754i | ||||
\(334\) | 7.14928 | − | 0.681893i | 0.391191 | − | 0.0373115i | ||||
\(335\) | 10.1764 | − | 17.6260i | 0.555994 | − | 0.963010i | ||||
\(336\) | −7.94789 | − | 9.75023i | −0.433593 | − | 0.531918i | ||||
\(337\) | −2.51872 | − | 4.36255i | −0.137203 | − | 0.237643i | 0.789234 | − | 0.614093i | \(-0.210478\pi\) |
−0.926437 | + | 0.376450i | \(0.877145\pi\) | |||||||
\(338\) | −6.91341 | − | 9.71074i | −0.376040 | − | 0.528195i | ||||
\(339\) | −1.46740 | − | 4.68483i | −0.0796982 | − | 0.254445i | ||||
\(340\) | 8.31073 | + | 2.87838i | 0.450713 | + | 0.156102i | ||||
\(341\) | 26.0361i | 1.40994i | ||||||||
\(342\) | 5.83418 | + | 6.89603i | 0.315476 | + | 0.372894i | ||||
\(343\) | −19.4337 | −1.04932 | ||||||||
\(344\) | 7.00747 | + | 1.70240i | 0.377817 | + | 0.0917873i | ||||
\(345\) | 6.73248 | + | 6.19262i | 0.362465 | + | 0.333399i | ||||
\(346\) | −14.6863 | + | 10.4557i | −0.789540 | + | 0.562100i | ||||
\(347\) | 8.40337 | − | 4.85169i | 0.451116 | − | 0.260452i | −0.257185 | − | 0.966362i | \(-0.582795\pi\) |
0.708302 | + | 0.705910i | \(0.249462\pi\) | |||||||
\(348\) | 0.378048 | − | 12.6520i | 0.0202655 | − | 0.678216i | ||||
\(349\) | 26.1239 | + | 15.0827i | 1.39838 | + | 0.807356i | 0.994223 | − | 0.107333i | \(-0.0342312\pi\) |
0.404158 | + | 0.914689i | \(0.367564\pi\) | |||||||
\(350\) | 0.519068 | − | 0.0495084i | 0.0277454 | − | 0.00264633i | ||||
\(351\) | 23.8298 | + | 3.27473i | 1.27194 | + | 0.174792i | ||||
\(352\) | −12.6821 | − | 24.6325i | −0.675958 | − | 1.31292i | ||||
\(353\) | 13.2376 | − | 22.9282i | 0.704565 | − | 1.22034i | −0.262283 | − | 0.964991i | \(-0.584475\pi\) |
0.966848 | − | 0.255352i | \(-0.0821913\pi\) | |||||||
\(354\) | 1.07612 | − | 8.56659i | 0.0571950 | − | 0.455309i | ||||
\(355\) | −26.3840 | + | 15.2328i | −1.40032 | + | 0.808473i | ||||
\(356\) | −3.27303 | − | 3.77893i | −0.173470 | − | 0.200283i | ||||
\(357\) | −4.10439 | + | 4.46221i | −0.217228 | + | 0.236165i | ||||
\(358\) | 11.3458 | + | 5.18296i | 0.599647 | + | 0.273928i | ||||
\(359\) | −23.4619 | −1.23827 | −0.619135 | − | 0.785285i | \(-0.712517\pi\) | ||||
−0.619135 | + | 0.785285i | \(0.712517\pi\) | |||||||
\(360\) | 18.0540 | − | 6.97680i | 0.951527 | − | 0.367710i | ||||
\(361\) | 14.4671 | 0.761424 | ||||||||
\(362\) | −19.8572 | − | 9.07108i | −1.04367 | − | 0.476766i | ||||
\(363\) | 6.72379 | + | 21.4665i | 0.352908 | + | 1.12670i | ||||
\(364\) | 12.7064 | − | 11.0053i | 0.665995 | − | 0.576835i | ||||
\(365\) | 22.8343 | − | 13.1834i | 1.19520 | − | 0.690050i | ||||
\(366\) | 4.47497 | − | 1.88479i | 0.233910 | − | 0.0985197i | ||||
\(367\) | 9.62599 | − | 16.6727i | 0.502472 | − | 0.870308i | −0.497524 | − | 0.867450i | \(-0.665757\pi\) |
0.999996 | − | 0.00285720i | \(-0.000909476\pi\) | |||||||
\(368\) | 8.59928 | − | 3.43832i | 0.448269 | − | 0.179235i | ||||
\(369\) | −1.18203 | − | 14.1251i | −0.0615340 | − | 0.735321i | ||||
\(370\) | 25.6401 | − | 2.44553i | 1.33296 | − | 0.127137i | ||||
\(371\) | −14.0880 | − | 8.13373i | −0.731414 | − | 0.422282i | ||||
\(372\) | −9.67980 | + | 15.6659i | −0.501874 | + | 0.812238i | ||||
\(373\) | 9.09206 | − | 5.24930i | 0.470769 | − | 0.271799i | −0.245793 | − | 0.969322i | \(-0.579048\pi\) |
0.716562 | + | 0.697524i | \(0.245715\pi\) | |||||||
\(374\) | −10.8781 | + | 7.74446i | −0.562491 | + | 0.400456i | ||||
\(375\) | 4.13690 | − | 18.4949i | 0.213628 | − | 0.955074i | ||||
\(376\) | 2.69765 | − | 11.1042i | 0.139121 | − | 0.572653i | ||||
\(377\) | 16.9146 | 0.871145 | ||||||||
\(378\) | −0.553207 | + | 13.3308i | −0.0284539 | + | 0.685661i | ||||
\(379\) | 35.5203i | 1.82455i | 0.409574 | + | 0.912277i | \(0.365677\pi\) | ||||
−0.409574 | + | 0.912277i | \(0.634323\pi\) | |||||||
\(380\) | −3.17877 | + | 9.17802i | −0.163067 | + | 0.470823i | ||||
\(381\) | −12.5920 | − | 2.81654i | −0.645106 | − | 0.144296i | ||||
\(382\) | −7.90178 | − | 11.0990i | −0.404290 | − | 0.567876i | ||||
\(383\) | 18.0395 | + | 31.2453i | 0.921774 | + | 1.59656i | 0.796669 | + | 0.604416i | \(0.206593\pi\) |
0.125105 | + | 0.992144i | \(0.460073\pi\) | |||||||
\(384\) | 1.52717 | − | 19.5363i | 0.0779330 | − | 0.996959i | ||||
\(385\) | −10.1420 | + | 17.5664i | −0.516884 | + | 0.895269i | ||||
\(386\) | 9.83605 | − | 0.938156i | 0.500642 | − | 0.0477509i | ||||
\(387\) | −4.36343 | − | 6.28201i | −0.221806 | − | 0.319332i | ||||
\(388\) | −27.4704 | + | 5.28833i | −1.39460 | + | 0.268474i | ||||
\(389\) | 17.5243 | + | 10.1177i | 0.888519 | + | 0.512987i | 0.873458 | − | 0.486900i | \(-0.161872\pi\) |
0.0150612 | + | 0.999887i | \(0.495206\pi\) | |||||||
\(390\) | 10.0396 | + | 23.8366i | 0.508376 | + | 1.20701i | ||||
\(391\) | −2.23181 | − | 3.86560i | −0.112867 | − | 0.195492i | ||||
\(392\) | −7.57866 | − | 7.23093i | −0.382780 | − | 0.365217i | ||||
\(393\) | −5.95764 | + | 1.86607i | −0.300523 | + | 0.0941309i | ||||
\(394\) | −5.55500 | − | 2.53761i | −0.279857 | − | 0.127843i | ||||
\(395\) | − | 22.6884i | − | 1.14158i | ||||||
\(396\) | −7.26817 | + | 28.4732i | −0.365239 | + | 1.43083i | ||||
\(397\) | 3.99499i | 0.200503i | 0.994962 | + | 0.100251i | \(0.0319647\pi\) | ||||
−0.994962 | + | 0.100251i | \(0.968035\pi\) | |||||||
\(398\) | 3.47080 | − | 7.59781i | 0.173975 | − | 0.380844i | ||||
\(399\) | −4.92788 | − | 4.53272i | −0.246702 | − | 0.226920i | ||||
\(400\) | 0.638275 | + | 0.502392i | 0.0319138 | + | 0.0251196i | ||||
\(401\) | 14.0124 | + | 24.2702i | 0.699747 | + | 1.21200i | 0.968554 | + | 0.248803i | \(0.0800372\pi\) |
−0.268807 | + | 0.963194i | \(0.586629\pi\) | |||||||
\(402\) | −2.72408 | + | 21.6855i | −0.135865 | + | 1.08157i | ||||
\(403\) | −21.3116 | − | 12.3042i | −1.06161 | − | 0.612918i | ||||
\(404\) | 0.493702 | + | 2.56455i | 0.0245626 | + | 0.127591i | ||||
\(405\) | −19.2375 | − | 7.16696i | −0.955921 | − | 0.356129i | ||||
\(406\) | 0.890832 | + | 9.33988i | 0.0442112 | + | 0.463531i | ||||
\(407\) | −19.5525 | + | 33.8660i | −0.969183 | + | 1.67867i | ||||
\(408\) | −9.42456 | + | 0.615542i | −0.466585 | + | 0.0304739i | ||||
\(409\) | 8.22481 | + | 14.2458i | 0.406691 | + | 0.704409i | 0.994517 | − | 0.104579i | \(-0.0333494\pi\) |
−0.587826 | + | 0.808987i | \(0.700016\pi\) | |||||||
\(410\) | 12.4164 | − | 8.83962i | 0.613200 | − | 0.436558i | ||||
\(411\) | 13.7928 | − | 14.9953i | 0.680350 | − | 0.739662i | ||||
\(412\) | −4.21936 | + | 12.1825i | −0.207873 | + | 0.600189i | ||||
\(413\) | 6.39976i | 0.314912i | ||||||||
\(414\) | −9.24410 | − | 3.32227i | −0.454323 | − | 0.163281i | ||||
\(415\) | −8.22179 | −0.403592 | ||||||||
\(416\) | 26.1560 | + | 1.26014i | 1.28240 | + | 0.0617832i | ||||
\(417\) | 21.0706 | − | 6.59979i | 1.03183 | − | 0.323193i | ||||
\(418\) | −8.55266 | − | 12.0133i | −0.418324 | − | 0.587588i | ||||
\(419\) | 20.5573 | − | 11.8688i | 1.00429 | − | 0.579827i | 0.0947752 | − | 0.995499i | \(-0.469787\pi\) |
0.909515 | + | 0.415672i | \(0.136453\pi\) | |||||||
\(420\) | −12.6333 | + | 6.79906i | −0.616443 | + | 0.331760i | ||||
\(421\) | −25.9420 | − | 14.9776i | −1.26433 | − | 0.729963i | −0.290424 | − | 0.956898i | \(-0.593796\pi\) |
−0.973910 | + | 0.226935i | \(0.927130\pi\) | |||||||
\(422\) | −2.46190 | − | 25.8117i | −0.119844 | − | 1.25649i | ||||
\(423\) | −9.95458 | + | 6.91437i | −0.484008 | + | 0.336188i | ||||
\(424\) | −7.13165 | − | 24.3173i | −0.346343 | − | 1.18095i | ||||
\(425\) | 0.195746 | − | 0.339043i | 0.00949509 | − | 0.0164460i | ||||
\(426\) | 19.7616 | − | 26.0728i | 0.957452 | − | 1.26323i | ||||
\(427\) | −3.11701 | + | 1.79961i | −0.150843 | + | 0.0870891i | ||||
\(428\) | 4.69298 | − | 4.06472i | 0.226844 | − | 0.196475i | ||||
\(429\) | −38.3223 | − | 8.57182i | −1.85022 | − | 0.413851i | ||||
\(430\) | 3.41742 | − | 7.48096i | 0.164803 | − | 0.360764i | ||||
\(431\) | −11.0367 | −0.531621 | −0.265810 | − | 0.964025i | \(-0.585640\pi\) | ||||
−0.265810 | + | 0.964025i | \(0.585640\pi\) | |||||||
\(432\) | −14.9591 | + | 14.4300i | −0.719719 | + | 0.694266i | ||||
\(433\) | 34.9394 | 1.67908 | 0.839541 | − | 0.543297i | \(-0.182824\pi\) | ||||
0.839541 | + | 0.543297i | \(0.182824\pi\) | |||||||
\(434\) | 5.67175 | − | 12.4158i | 0.272252 | − | 0.595979i | ||||
\(435\) | −14.0880 | − | 3.15117i | −0.675469 | − | 0.151087i | ||||
\(436\) | 27.3386 | − | 23.6787i | 1.30928 | − | 1.13400i | ||||
\(437\) | 4.26901 | − | 2.46472i | 0.204215 | − | 0.117903i | ||||
\(438\) | −17.1029 | + | 22.5650i | −0.817207 | + | 1.07820i | ||||
\(439\) | −6.58518 | + | 11.4059i | −0.314293 | + | 0.544372i | −0.979287 | − | 0.202477i | \(-0.935101\pi\) |
0.664994 | + | 0.746849i | \(0.268434\pi\) | |||||||
\(440\) | −30.3214 | + | 8.89249i | −1.44552 | + | 0.423933i | ||||
\(441\) | 0.926503 | + | 11.0716i | 0.0441192 | + | 0.527217i | ||||
\(442\) | −1.19835 | − | 12.5640i | −0.0569996 | − | 0.597609i | ||||
\(443\) | 23.6849 | + | 13.6745i | 1.12530 | + | 0.649694i | 0.942749 | − | 0.333502i | \(-0.108230\pi\) |
0.182554 | + | 0.983196i | \(0.441564\pi\) | |||||||
\(444\) | −24.3555 | + | 13.1078i | −1.15586 | + | 0.622067i | ||||
\(445\) | −4.93787 | + | 2.85088i | −0.234077 | + | 0.135145i | ||||
\(446\) | 4.31857 | + | 6.06597i | 0.204490 | + | 0.287232i | ||||
\(447\) | −12.5925 | + | 3.94427i | −0.595606 | + | 0.186558i | ||||
\(448\) | 0.681725 | + | 14.5092i | 0.0322085 | + | 0.685495i | ||||
\(449\) | −13.8225 | −0.652323 | −0.326161 | − | 0.945314i | \(-0.605755\pi\) | ||||
−0.326161 | + | 0.945314i | \(0.605755\pi\) | |||||||
\(450\) | −0.153039 | − | 0.847848i | −0.00721434 | − | 0.0399679i | ||||
\(451\) | 23.1407i | 1.08965i | ||||||||
\(452\) | −1.85522 | + | 5.35656i | −0.0872622 | + | 0.251951i | ||||
\(453\) | 5.32317 | − | 5.78723i | 0.250104 | − | 0.271908i | ||||
\(454\) | −2.04384 | + | 1.45508i | −0.0959222 | + | 0.0682902i | ||||
\(455\) | −9.58588 | − | 16.6032i | −0.449393 | − | 0.778371i | ||||
\(456\) | −0.679779 | − | 10.4081i | −0.0318336 | − | 0.487403i | ||||
\(457\) | −2.86205 | + | 4.95722i | −0.133881 | + | 0.231889i | −0.925170 | − | 0.379554i | \(-0.876077\pi\) |
0.791288 | + | 0.611443i | \(0.209411\pi\) | |||||||
\(458\) | −0.512731 | − | 5.37570i | −0.0239584 | − | 0.251190i | ||||
\(459\) | 7.91277 | + | 6.14324i | 0.369337 | + | 0.286742i | ||||
\(460\) | −1.99672 | − | 10.3721i | −0.0930977 | − | 0.483600i | ||||
\(461\) | 19.3717 | + | 11.1843i | 0.902231 | + | 0.520903i | 0.877923 | − | 0.478801i | \(-0.158929\pi\) |
0.0243074 | + | 0.999705i | \(0.492262\pi\) | |||||||
\(462\) | 2.71488 | − | 21.6122i | 0.126308 | − | 1.00549i | ||||
\(463\) | 18.5733 | + | 32.1699i | 0.863174 | + | 1.49506i | 0.868849 | + | 0.495077i | \(0.164860\pi\) |
−0.00567564 | + | 0.999984i | \(0.501807\pi\) | |||||||
\(464\) | −9.03982 | + | 11.4848i | −0.419663 | + | 0.533171i | ||||
\(465\) | 15.4580 | + | 14.2184i | 0.716847 | + | 0.659365i | ||||
\(466\) | −11.9410 | + | 26.1396i | −0.553154 | + | 1.21089i | ||||
\(467\) | − | 22.6850i | − | 1.04974i | −0.851184 | − | 0.524868i | \(-0.824115\pi\) | ||
0.851184 | − | 0.524868i | \(-0.175885\pi\) | |||||||
\(468\) | −19.8716 | − | 19.4052i | −0.918563 | − | 0.897007i | ||||
\(469\) | − | 16.2004i | − | 0.748063i | ||||||
\(470\) | −11.8545 | − | 5.41530i | −0.546806 | − | 0.249789i | ||||
\(471\) | −21.7778 | + | 6.82130i | −1.00347 | + | 0.314309i | ||||
\(472\) | −6.88214 | + | 7.21310i | −0.316776 | + | 0.332010i | ||||
\(473\) | 6.24353 | + | 10.8141i | 0.287078 | + | 0.497233i | ||||
\(474\) | 9.45719 | + | 22.4537i | 0.434383 | + | 1.03133i | ||||
\(475\) | 0.374425 | + | 0.216174i | 0.0171798 | + | 0.00991875i | ||||
\(476\) | 6.87447 | − | 1.32340i | 0.315091 | − | 0.0606582i | ||||
\(477\) | −11.4514 | + | 24.3173i | −0.524324 | + | 1.11341i | ||||
\(478\) | 24.4908 | − | 2.33592i | 1.12018 | − | 0.106842i | ||||
\(479\) | 13.1576 | − | 22.7897i | 0.601188 | − | 1.04129i | −0.391453 | − | 0.920198i | \(-0.628027\pi\) |
0.992641 | − | 0.121091i | \(-0.0386392\pi\) | |||||||
\(480\) | −21.5504 | − | 5.92240i | −0.983637 | − | 0.270319i | ||||
\(481\) | −18.4804 | − | 32.0090i | −0.842634 | − | 1.45948i | ||||
\(482\) | 11.2468 | + | 15.7975i | 0.512276 | + | 0.719555i | ||||
\(483\) | 7.10556 | + | 1.58935i | 0.323314 | + | 0.0723180i | ||||
\(484\) | 8.50083 | − | 24.5444i | 0.386402 | − | 1.11565i | ||||
\(485\) | 31.9056i | 1.44876i | ||||||||
\(486\) | 22.0260 | − | 0.925941i | 0.999118 | − | 0.0420015i | ||||
\(487\) | −24.0388 | −1.08930 | −0.544652 | − | 0.838662i | \(-0.683338\pi\) | ||||
−0.544652 | + | 0.838662i | \(0.683338\pi\) | |||||||
\(488\) | −5.44840 | − | 1.32364i | −0.246637 | − | 0.0599183i | ||||
\(489\) | 7.78504 | − | 34.8048i | 0.352051 | − | 1.57393i | ||||
\(490\) | −9.73224 | + | 6.92871i | −0.439658 | + | 0.313007i | ||||
\(491\) | −27.2256 | + | 15.7187i | −1.22867 | + | 0.709374i | −0.966752 | − | 0.255715i | \(-0.917689\pi\) |
−0.261920 | + | 0.965090i | \(0.584356\pi\) | |||||||
\(492\) | −8.60331 | + | 13.9237i | −0.387867 | + | 0.627728i | ||||
\(493\) | 6.10058 | + | 3.52217i | 0.274756 | + | 0.158631i | ||||
\(494\) | 13.8752 | − | 1.32340i | 0.624274 | − | 0.0595428i | ||||
\(495\) | 30.3214 | + | 14.2788i | 1.36285 | + | 0.641785i | ||||
\(496\) | 19.7442 | − | 7.89449i | 0.886542 | − | 0.354473i | ||||
\(497\) | −12.1250 | + | 21.0011i | −0.543881 | + | 0.942029i | ||||
\(498\) | 8.13674 | − | 3.42708i | 0.364616 | − | 0.153571i | ||||
\(499\) | −5.08156 | + | 2.93384i | −0.227482 | + | 0.131337i | −0.609410 | − | 0.792855i | \(-0.708594\pi\) |
0.381928 | + | 0.924192i | \(0.375260\pi\) | |||||||
\(500\) | −16.5418 | + | 14.3273i | −0.739771 | + | 0.640736i | ||||
\(501\) | 2.62909 | + | 8.39366i | 0.117459 | + | 0.375001i | ||||
\(502\) | 5.79824 | + | 2.64873i | 0.258788 | + | 0.118218i | ||||
\(503\) | 32.4317 | 1.44606 | 0.723029 | − | 0.690818i | \(-0.242749\pi\) | ||||
0.723029 | + | 0.690818i | \(0.242749\pi\) | |||||||
\(504\) | 9.66860 | − | 11.9947i | 0.430673 | − | 0.534285i | ||||
\(505\) | 2.97861 | 0.132546 | ||||||||
\(506\) | 14.5867 | + | 6.66344i | 0.648459 | + | 0.296226i | ||||
\(507\) | 9.88348 | − | 10.7451i | 0.438941 | − | 0.477207i | ||||
\(508\) | 9.75449 | + | 11.2622i | 0.432786 | + | 0.499679i | ||||
\(509\) | 13.6855 | − | 7.90133i | 0.606599 | − | 0.350220i | −0.165034 | − | 0.986288i | \(-0.552773\pi\) |
0.771633 | + | 0.636068i | \(0.219440\pi\) | |||||||
\(510\) | −1.34257 | + | 10.6877i | −0.0594500 | + | 0.473260i | ||||
\(511\) | 10.4937 | − | 18.1756i | 0.464214 | − | 0.804042i | ||||
\(512\) | −14.8344 | + | 17.0862i | −0.655596 | + | 0.755112i | ||||
\(513\) | −6.78434 | + | 8.73854i | −0.299536 | + | 0.385816i | ||||
\(514\) | −11.5796 | + | 1.10445i | −0.510753 | + | 0.0487153i | ||||
\(515\) | 12.7341 | + | 7.35202i | 0.561130 | + | 0.323969i | ||||
\(516\) | −0.263788 | + | 8.82806i | −0.0116126 | + | 0.388634i | ||||
\(517\) | 17.1362 | − | 9.89361i | 0.753650 | − | 0.435120i | ||||
\(518\) | 16.7014 | − | 11.8903i | 0.733818 | − | 0.522430i | ||||
\(519\) | −16.2506 | − | 14.9475i | −0.713324 | − | 0.656124i | ||||
\(520\) | 7.05056 | − | 29.0217i | 0.309187 | − | 1.27269i | ||||
\(521\) | 5.50310 | 0.241095 | 0.120548 | − | 0.992708i | \(-0.461535\pi\) | ||||
0.120548 | + | 0.992708i | \(0.461535\pi\) | |||||||
\(522\) | 15.2558 | − | 2.75372i | 0.667728 | − | 0.120527i | ||||
\(523\) | − | 38.5894i | − | 1.68740i | −0.536818 | − | 0.843698i | \(-0.680374\pi\) | ||
0.536818 | − | 0.843698i | \(-0.319626\pi\) | |||||||
\(524\) | 6.81187 | + | 2.35926i | 0.297578 | + | 0.103065i | ||||
\(525\) | 0.190883 | + | 0.609416i | 0.00833083 | + | 0.0265971i | ||||
\(526\) | −4.12356 | − | 5.79206i | −0.179796 | − | 0.252546i | ||||
\(527\) | −5.12430 | − | 8.87555i | −0.223218 | − | 0.386625i | ||||
\(528\) | 26.3011 | − | 21.4394i | 1.14461 | − | 0.933028i | ||||
\(529\) | 8.81970 | − | 15.2762i | 0.383465 | − | 0.664181i | ||||
\(530\) | −28.7717 | + | 2.74423i | −1.24976 | + | 0.119202i | ||||
\(531\) | 10.5375 | − | 0.881812i | 0.457289 | − | 0.0382674i | ||||
\(532\) | 1.46151 | + | 7.59189i | 0.0633647 | + | 0.329150i | ||||
\(533\) | −18.9415 | − | 10.9359i | −0.820449 | − | 0.473686i | ||||
\(534\) | 3.69846 | − | 4.87964i | 0.160048 | − | 0.211163i | ||||
\(535\) | −3.54046 | − | 6.13225i | −0.153067 | − | 0.265120i | ||||
\(536\) | 17.4215 | − | 18.2592i | 0.752492 | − | 0.788679i | ||||
\(537\) | −3.33472 | + | 14.9086i | −0.143904 | + | 0.643354i | ||||
\(538\) | −29.7889 | − | 13.6080i | −1.28429 | − | 0.586685i | ||||
\(539\) | − | 18.1382i | − | 0.781268i | ||||||
\(540\) | 12.9357 | + | 19.8645i | 0.556664 | + | 0.854833i | ||||
\(541\) | − | 22.5666i | − | 0.970214i | −0.874455 | − | 0.485107i | \(-0.838781\pi\) | ||
0.874455 | − | 0.485107i | \(-0.161219\pi\) | |||||||
\(542\) | 12.3029 | − | 26.9319i | 0.528455 | − | 1.15682i | ||||
\(543\) | 5.83634 | − | 26.0927i | 0.250461 | − | 1.11974i | ||||
\(544\) | 9.17129 | + | 5.90104i | 0.393216 | + | 0.253005i | ||||
\(545\) | −20.6246 | − | 35.7229i | −0.883463 | − | 1.53020i | ||||
\(546\) | 16.4074 | + | 12.4358i | 0.702173 | + | 0.532204i | ||||
\(547\) | 11.2679 | + | 6.50552i | 0.481780 | + | 0.278156i | 0.721158 | − | 0.692770i | \(-0.243610\pi\) |
−0.239378 | + | 0.970927i | \(0.576943\pi\) | |||||||
\(548\) | −23.1017 | + | 4.44731i | −0.986856 | + | 0.189980i | ||||
\(549\) | 3.39262 | + | 4.88434i | 0.144794 | + | 0.208458i | ||||
\(550\) | 0.133548 | + | 1.40018i | 0.00569452 | + | 0.0597039i | ||||
\(551\) | −3.88974 | + | 6.73723i | −0.165709 | + | 0.287016i | ||||
\(552\) | 6.29944 | + | 9.43248i | 0.268122 | + | 0.401473i | ||||
\(553\) | −9.02976 | − | 15.6400i | −0.383985 | − | 0.665081i | ||||
\(554\) | −25.6332 | + | 18.2491i | −1.08905 | + | 0.775331i | ||||
\(555\) | 9.42895 | + | 30.1029i | 0.400236 | + | 1.27780i | ||||
\(556\) | −24.0917 | − | 8.34406i | −1.02172 | − | 0.353867i | ||||
\(557\) | 5.73693i | 0.243081i | 0.992586 | + | 0.121541i | \(0.0387835\pi\) | ||||
−0.992586 | + | 0.121541i | \(0.961217\pi\) | |||||||
\(558\) | −21.2248 | − | 7.62804i | −0.898516 | − | 0.322921i | ||||
\(559\) | −11.8024 | −0.499186 | ||||||||
\(560\) | 16.3965 | + | 2.36470i | 0.692879 | + | 0.0999268i | ||||
\(561\) | −12.0368 | − | 11.0716i | −0.508192 | − | 0.467442i | ||||
\(562\) | 15.2234 | + | 21.3831i | 0.642160 | + | 0.901993i | ||||
\(563\) | −13.2510 | + | 7.65045i | −0.558462 | + | 0.322428i | −0.752528 | − | 0.658560i | \(-0.771166\pi\) |
0.194066 | + | 0.980988i | \(0.437832\pi\) | |||||||
\(564\) | 13.9891 | + | 0.418003i | 0.589047 | + | 0.0176011i | ||||
\(565\) | 5.59908 | + | 3.23263i | 0.235555 | + | 0.135998i | ||||
\(566\) | 0.272830 | + | 2.86047i | 0.0114679 | + | 0.120235i | ||||
\(567\) | −16.1136 | + | 2.71589i | −0.676706 | + | 0.114057i | ||||
\(568\) | −36.2500 | + | 10.6312i | −1.52102 | + | 0.446075i | ||||
\(569\) | 6.63095 | − | 11.4851i | 0.277984 | − | 0.481482i | −0.692900 | − | 0.721034i | \(-0.743667\pi\) |
0.970884 | + | 0.239552i | \(0.0770005\pi\) | |||||||
\(570\) | −11.8031 | − | 1.48268i | −0.494377 | − | 0.0621026i | ||||
\(571\) | −23.4262 | + | 13.5251i | −0.980357 | + | 0.566009i | −0.902378 | − | 0.430946i | \(-0.858180\pi\) |
−0.0779788 | + | 0.996955i | \(0.524847\pi\) | |||||||
\(572\) | 29.6867 | + | 34.2753i | 1.24126 | + | 1.43312i | ||||
\(573\) | 11.2965 | − | 12.2813i | 0.471917 | − | 0.513058i | ||||
\(574\) | 5.04099 | − | 11.0351i | 0.210407 | − | 0.460595i | ||||
\(575\) | −0.470166 | −0.0196073 | ||||||||
\(576\) | 23.7961 | − | 3.12169i | 0.991505 | − | 0.130070i | ||||
\(577\) | −4.78434 | −0.199174 | −0.0995872 | − | 0.995029i | \(-0.531752\pi\) | ||||
−0.0995872 | + | 0.995029i | \(0.531752\pi\) | |||||||
\(578\) | −7.80559 | + | 17.0870i | −0.324670 | + | 0.710724i | ||||
\(579\) | 3.61713 | + | 11.5481i | 0.150323 | + | 0.479922i | ||||
\(580\) | 10.9134 | + | 12.6003i | 0.453156 | + | 0.523198i | ||||
\(581\) | −5.66760 | + | 3.27219i | −0.235132 | + | 0.135753i | ||||
\(582\) | −13.2992 | − | 31.5756i | −0.551269 | − | 1.30885i | ||||
\(583\) | 21.9406 | − | 38.0023i | 0.908689 | − | 1.57390i | ||||
\(584\) | 31.3729 | − | 9.20087i | 1.29822 | − | 0.380735i | ||||
\(585\) | −26.0172 | + | 18.0713i | −1.07568 | + | 0.747157i | ||||
\(586\) | 4.58148 | + | 48.0343i | 0.189259 | + | 1.98428i | ||||
\(587\) | −37.0796 | − | 21.4079i | −1.53044 | − | 0.883598i | −0.999341 | − | 0.0362861i | \(-0.988447\pi\) |
−0.531095 | − | 0.847312i | \(-0.678219\pi\) | |||||||
\(588\) | 6.74348 | − | 10.9137i | 0.278097 | − | 0.450074i | ||||
\(589\) | 9.80179 | − | 5.65906i | 0.403876 | − | 0.233178i | ||||
\(590\) | 6.59449 | + | 9.26279i | 0.271491 | + | 0.381343i | ||||
\(591\) | 1.63270 | − | 7.29935i | 0.0671602 | − | 0.300255i | ||||
\(592\) | 31.6105 | + | 4.55885i | 1.29918 | + | 0.187368i | ||||
\(593\) | −0.825572 | −0.0339022 | −0.0169511 | − | 0.999856i | \(-0.505396\pi\) | ||||
−0.0169511 | + | 0.999856i | \(0.505396\pi\) | |||||||
\(594\) | −35.9596 | − | 1.49227i | −1.47544 | − | 0.0612286i | ||||
\(595\) | − | 7.98438i | − | 0.327328i | ||||||
\(596\) | 14.3981 | + | 4.98671i | 0.589768 | + | 0.204264i | ||||
\(597\) | 9.98364 | + | 2.23311i | 0.408603 | + | 0.0913952i | ||||
\(598\) | −12.3477 | + | 8.79077i | −0.504936 | + | 0.359481i | ||||
\(599\) | −0.961228 | − | 1.66490i | −0.0392747 | − | 0.0680258i | 0.845720 | − | 0.533627i | \(-0.179171\pi\) |
−0.884995 | + | 0.465601i | \(0.845838\pi\) | |||||||
\(600\) | −0.440208 | + | 0.892136i | −0.0179714 | + | 0.0364213i | ||||
\(601\) | −21.5937 | + | 37.4014i | −0.880825 | + | 1.52563i | −0.0303994 | + | 0.999538i | \(0.509678\pi\) |
−0.850425 | + | 0.526096i | \(0.823655\pi\) | |||||||
\(602\) | −0.621589 | − | 6.51702i | −0.0253341 | − | 0.265614i | ||||
\(603\) | −26.6747 | + | 2.23222i | −1.08628 | + | 0.0909030i | ||||
\(604\) | −8.91581 | + | 1.71638i | −0.362779 | + | 0.0698386i | ||||
\(605\) | −25.6556 | − | 14.8123i | −1.04305 | − | 0.602205i | ||||
\(606\) | −2.94780 | + | 1.24157i | −0.119746 | + | 0.0504354i | ||||
\(607\) | 20.5078 | + | 35.5206i | 0.832386 | + | 1.44174i | 0.896141 | + | 0.443770i | \(0.146359\pi\) |
−0.0637546 | + | 0.997966i | \(0.520307\pi\) | |||||||
\(608\) | −6.51686 | + | 10.1284i | −0.264294 | + | 0.410761i | ||||
\(609\) | −10.9656 | + | 3.43467i | −0.444347 | + | 0.139180i | ||||
\(610\) | −2.65709 | + | 5.81654i | −0.107582 | + | 0.235505i | ||||
\(611\) | 18.7022i | 0.756611i | ||||||||
\(612\) | −3.12627 | − | 11.1368i | −0.126372 | − | 0.450178i | ||||
\(613\) | 5.05878i | 0.204322i | 0.994768 | + | 0.102161i | \(0.0325757\pi\) | ||||
−0.994768 | + | 0.102161i | \(0.967424\pi\) | |||||||
\(614\) | 6.14345 | + | 2.80642i | 0.247930 | + | 0.113258i | ||||
\(615\) | 13.7389 | + | 12.6372i | 0.554007 | + | 0.509582i | ||||
\(616\) | −17.3626 | + | 18.1976i | −0.699559 | + | 0.733201i | ||||
\(617\) | −16.0739 | − | 27.8408i | −0.647112 | − | 1.12083i | −0.983809 | − | 0.179217i | \(-0.942643\pi\) |
0.336698 | − | 0.941613i | \(-0.390690\pi\) | |||||||
\(618\) | −15.6669 | − | 1.96804i | −0.630215 | − | 0.0791663i | ||||
\(619\) | 27.3562 | + | 15.7941i | 1.09954 | + | 0.634820i | 0.936100 | − | 0.351734i | \(-0.114408\pi\) |
0.163440 | + | 0.986553i | \(0.447741\pi\) | |||||||
\(620\) | −4.58454 | − | 23.8146i | −0.184120 | − | 0.956416i | ||||
\(621\) | 1.63788 | − | 11.9186i | 0.0657259 | − | 0.478278i | ||||
\(622\) | −31.4707 | + | 3.00165i | −1.26186 | + | 0.120355i | ||||
\(623\) | −2.26924 | + | 3.93044i | −0.0909153 | + | 0.157470i | ||||
\(624\) | 5.11946 | + | 31.6604i | 0.204942 | + | 1.26743i | ||||
\(625\) | 12.9871 | + | 22.4942i | 0.519482 | + | 0.899770i | ||||
\(626\) | −2.00803 | − | 2.82053i | −0.0802569 | − | 0.112731i | ||||
\(627\) | 12.2270 | − | 13.2929i | 0.488298 | − | 0.530867i | ||||
\(628\) | 24.9003 | + | 8.62411i | 0.993631 | + | 0.344139i | ||||
\(629\) | − | 15.3929i | − | 0.613756i | ||||||
\(630\) | −11.3488 | − | 13.4144i | −0.452149 | − | 0.534442i | ||||
\(631\) | −15.4885 | −0.616586 | −0.308293 | − | 0.951292i | \(-0.599758\pi\) | ||||
−0.308293 | + | 0.951292i | \(0.599758\pi\) | |||||||
\(632\) | 6.64153 | − | 27.3380i | 0.264186 | − | 1.08745i | ||||
\(633\) | 30.3044 | − | 9.49205i | 1.20449 | − | 0.377275i | ||||
\(634\) | 19.0081 | − | 13.5325i | 0.754909 | − | 0.537445i | ||||
\(635\) | 14.7162 | − | 8.49638i | 0.583993 | − | 0.337168i | ||||
\(636\) | 27.3303 | − | 14.7087i | 1.08372 | − | 0.583239i | ||||
\(637\) | 14.8468 | + | 8.57182i | 0.588253 | + | 0.339628i | ||||
\(638\) | −25.1942 | + | 2.40301i | −0.997449 | + | 0.0951361i | ||||
\(639\) | 36.2500 | + | 17.0707i | 1.43403 | + | 0.675305i | ||||
\(640\) | 15.9374 | + | 20.2976i | 0.629980 | + | 0.802334i | ||||
\(641\) | −15.2248 | + | 26.3701i | −0.601344 | + | 1.04156i | 0.391274 | + | 0.920274i | \(0.372034\pi\) |
−0.992618 | + | 0.121284i | \(0.961299\pi\) | |||||||
\(642\) | 6.05994 | + | 4.59306i | 0.239167 | + | 0.181273i | ||||
\(643\) | 14.5911 | − | 8.42419i | 0.575418 | − | 0.332218i | −0.183893 | − | 0.982946i | \(-0.558870\pi\) |
0.759310 | + | 0.650729i | \(0.225537\pi\) | |||||||
\(644\) | −5.50439 | − | 6.35518i | −0.216903 | − | 0.250429i | ||||
\(645\) | 9.83009 | + | 2.19877i | 0.387060 | + | 0.0865764i | ||||
\(646\) | 5.27994 | + | 2.41196i | 0.207736 | + | 0.0948971i | ||||
\(647\) | 18.6734 | 0.734126 | 0.367063 | − | 0.930196i | \(-0.380363\pi\) | ||||
0.367063 | + | 0.930196i | \(0.380363\pi\) | |||||||
\(648\) | −21.0820 | − | 14.2671i | −0.828179 | − | 0.560463i | ||||
\(649\) | −17.2633 | −0.677644 | ||||||||
\(650\) | −1.20922 | − | 0.552388i | −0.0474293 | − | 0.0216664i | ||||
\(651\) | 16.3146 | + | 3.64920i | 0.639419 | + | 0.143024i | ||||
\(652\) | −31.1292 | + | 26.9619i | −1.21912 | + | 1.05591i | ||||
\(653\) | −31.4276 | + | 18.1448i | −1.22986 | + | 0.710059i | −0.967000 | − | 0.254775i | \(-0.917999\pi\) |
−0.262858 | + | 0.964834i | \(0.584665\pi\) | |||||||
\(654\) | 35.3017 | + | 26.7565i | 1.38040 | + | 1.04626i | ||||
\(655\) | 4.11089 | − | 7.12028i | 0.160626 | − | 0.278212i | ||||
\(656\) | 17.5485 | − | 7.01655i | 0.685153 | − | 0.273950i | ||||
\(657\) | −31.3729 | − | 14.7740i | −1.22397 | − | 0.576388i | ||||
\(658\) | −10.3270 | + | 0.984980i | −0.402588 | + | 0.0383985i | ||||
\(659\) | −19.3088 | − | 11.1480i | −0.752166 | − | 0.434263i | 0.0743103 | − | 0.997235i | \(-0.476324\pi\) |
−0.826476 | + | 0.562972i | \(0.809658\pi\) | |||||||
\(660\) | −18.3404 | − | 34.0782i | −0.713899 | − | 1.32649i | ||||
\(661\) | −5.19793 | + | 3.00103i | −0.202176 | + | 0.116726i | −0.597670 | − | 0.801742i | \(-0.703907\pi\) |
0.395494 | + | 0.918469i | \(0.370573\pi\) | |||||||
\(662\) | 0.437935 | − | 0.311781i | 0.0170208 | − | 0.0121177i | ||||
\(663\) | 14.7509 | − | 4.62032i | 0.572877 | − | 0.179438i | ||||
\(664\) | −9.90671 | − | 2.40674i | −0.384455 | − | 0.0933998i | ||||
\(665\) | 8.81762 | 0.341933 | ||||||||
\(666\) | −21.8792 | − | 25.8613i | −0.847801 | − | 1.00211i | ||||
\(667\) | − | 8.45996i | − | 0.327571i | ||||||
\(668\) | 3.32394 | − | 9.59717i | 0.128607 | − | 0.371326i | ||||
\(669\) | −6.17388 | + | 6.71211i | −0.238696 | + | 0.259505i | ||||
\(670\) | −16.6933 | − | 23.4478i | −0.644919 | − | 0.905869i | ||||
\(671\) | −4.85442 | − | 8.40810i | −0.187403 | − | 0.324591i | ||||
\(672\) | −17.2126 | + | 4.49430i | −0.663990 | + | 0.173371i | ||||
\(673\) | −3.70444 | + | 6.41629i | −0.142796 | + | 0.247330i | −0.928548 | − | 0.371211i | \(-0.878943\pi\) |
0.785753 | + | 0.618541i | \(0.212276\pi\) | |||||||
\(674\) | −7.09183 | + | 0.676414i | −0.273167 | + | 0.0260545i | ||||
\(675\) | 0.977130 | − | 0.398269i | 0.0376098 | − | 0.0153294i | ||||
\(676\) | −16.5539 | + | 3.18679i | −0.636689 | + | 0.122569i | ||||
\(677\) | −8.57613 | − | 4.95143i | −0.329607 | − | 0.190299i | 0.326059 | − | 0.945349i | \(-0.394279\pi\) |
−0.655667 | + | 0.755050i | \(0.727612\pi\) | |||||||
\(678\) | −6.88861 | − | 0.865334i | −0.264556 | − | 0.0332329i | ||||
\(679\) | 12.6981 | + | 21.9938i | 0.487309 | + | 0.844043i | ||||
\(680\) | 8.58620 | − | 8.99910i | 0.329266 | − | 0.345100i | ||||
\(681\) | −2.26154 | − | 2.08020i | −0.0866626 | − | 0.0797133i | ||||
\(682\) | 33.4916 | + | 15.2995i | 1.28246 | + | 0.585847i | ||||
\(683\) | 39.0736i | 1.49511i | 0.664200 | + | 0.747555i | \(0.268772\pi\) | ||||
−0.664200 | + | 0.747555i | \(0.731228\pi\) | |||||||
\(684\) | 12.2990 | − | 3.45252i | 0.470265 | − | 0.132011i | ||||
\(685\) | 26.8316i | 1.02518i | ||||||||
\(686\) | −11.4197 | + | 24.9985i | −0.436006 | + | 0.954447i | ||||
\(687\) | 6.31139 | − | 1.97687i | 0.240794 | − | 0.0754224i | ||||
\(688\) | 6.30765 | − | 8.01369i | 0.240477 | − | 0.305519i | ||||
\(689\) | 20.7376 | + | 35.9185i | 0.790039 | + | 1.36839i | ||||
\(690\) | 11.9220 | − | 5.02140i | 0.453865 | − | 0.191161i | ||||
\(691\) | −2.07502 | − | 1.19801i | −0.0789375 | − | 0.0455746i | 0.460012 | − | 0.887913i | \(-0.347845\pi\) |
−0.538949 | + | 0.842338i | \(0.681179\pi\) | |||||||
\(692\) | 4.81962 | + | 25.0357i | 0.183215 | + | 0.951715i | ||||
\(693\) | 26.5846 | − | 2.22468i | 1.00986 | − | 0.0845086i | ||||
\(694\) | −1.30294 | − | 13.6606i | −0.0494590 | − | 0.518551i | ||||
\(695\) | −14.5391 | + | 25.1825i | −0.551500 | + | 0.955227i | ||||
\(696\) | −16.0527 | − | 7.92091i | −0.608476 | − | 0.300241i | ||||
\(697\) | −4.55443 | − | 7.88850i | −0.172511 | − | 0.298798i | ||||
\(698\) | 34.7526 | − | 24.7416i | 1.31541 | − | 0.936483i | ||||
\(699\) | −34.3478 | − | 7.68281i | −1.29915 | − | 0.290591i | ||||
\(700\) | 0.241332 | − | 0.696796i | 0.00912150 | − | 0.0263364i | ||||
\(701\) | − | 30.9184i | − | 1.16777i | −0.811836 | − | 0.583885i | \(-0.801532\pi\) | ||
0.811836 | − | 0.583885i | \(-0.198468\pi\) | |||||||
\(702\) | 18.2154 | − | 28.7291i | 0.687496 | − | 1.08431i | ||||
\(703\) | 16.9993 | 0.641141 | ||||||||
\(704\) | −39.1384 | + | 1.83895i | −1.47508 | + | 0.0693079i | ||||
\(705\) | 3.48421 | − | 15.5769i | 0.131223 | − | 0.586662i | ||||
\(706\) | −21.7149 | − | 30.5013i | −0.817252 | − | 1.14793i | ||||
\(707\) | 2.05327 | − | 1.18546i | 0.0772212 | − | 0.0445837i | ||||
\(708\) | −10.3873 | − | 6.41820i | −0.390378 | − | 0.241211i | ||||
\(709\) | 4.46959 | + | 2.58052i | 0.167859 | + | 0.0969133i | 0.581576 | − | 0.813492i | \(-0.302436\pi\) |
−0.413717 | + | 0.910406i | \(0.635770\pi\) | |||||||
\(710\) | 4.09084 | + | 42.8902i | 0.153526 | + | 1.60964i | ||||
\(711\) | −24.5078 | + | 17.0229i | −0.919115 | + | 0.638410i | ||||
\(712\) | −6.78434 | + | 1.98967i | −0.254254 | + | 0.0745661i | ||||
\(713\) | −6.15406 | + | 10.6591i | −0.230471 | + | 0.399188i | ||||
\(714\) | 3.32812 | + | 7.90179i | 0.124552 | + | 0.295717i | ||||
\(715\) | 44.7870 | − | 25.8578i | 1.67494 | − | 0.967027i | ||||
\(716\) | 13.3342 | − | 11.5491i | 0.498322 | − | 0.431610i | ||||
\(717\) | 9.00631 | + | 28.7536i | 0.336347 | + | 1.07382i | ||||
\(718\) | −13.7868 | + | 30.1802i | −0.514518 | + | 1.12631i | ||||
\(719\) | 14.7871 | 0.551465 | 0.275733 | − | 0.961234i | \(-0.411080\pi\) | ||||
0.275733 | + | 0.961234i | \(0.411080\pi\) | |||||||
\(720\) | 1.63434 | − | 27.3234i | 0.0609083 | − | 1.01828i | ||||
\(721\) | 11.7041 | 0.435884 | ||||||||
\(722\) | 8.50120 | − | 18.6097i | 0.316382 | − | 0.692582i | ||||
\(723\) | −16.0785 | + | 17.4802i | −0.597965 | + | 0.650095i | ||||
\(724\) | −23.3372 | + | 20.2130i | −0.867320 | + | 0.751208i | ||||
\(725\) | 0.642593 | − | 0.371001i | 0.0238653 | − | 0.0137786i | ||||
\(726\) | 31.5644 | + | 3.96506i | 1.17147 | + | 0.147157i | ||||
\(727\) | −1.06681 | + | 1.84777i | −0.0395658 | + | 0.0685299i | −0.885130 | − | 0.465344i | \(-0.845931\pi\) |
0.845564 | + | 0.533873i | \(0.179264\pi\) | |||||||
\(728\) | −6.69012 | − | 22.8118i | −0.247952 | − | 0.845463i | ||||
\(729\) | 6.69210 | + | 26.1575i | 0.247855 | + | 0.968797i | ||||
\(730\) | −3.54046 | − | 37.1198i | −0.131038 | − | 1.37386i | ||||
\(731\) | −4.25675 | − | 2.45764i | −0.157442 | − | 0.0908990i | ||||
\(732\) | 0.205098 | − | 6.86393i | 0.00758065 | − | 0.253698i | ||||
\(733\) | −22.2298 | + | 12.8344i | −0.821076 | + | 0.474048i | −0.850787 | − | 0.525510i | \(-0.823875\pi\) |
0.0297113 | + | 0.999559i | \(0.490541\pi\) | |||||||
\(734\) | −15.7905 | − | 22.1797i | −0.582837 | − | 0.818667i | ||||
\(735\) | −10.7689 | − | 9.90536i | −0.397217 | − | 0.365365i | ||||
\(736\) | 0.630266 | − | 13.0821i | 0.0232319 | − | 0.482214i | ||||
\(737\) | 43.7003 | 1.60972 | ||||||||
\(738\) | −18.8644 | − | 6.77973i | −0.694407 | − | 0.249565i | ||||
\(739\) | 5.46282i | 0.200953i | 0.994939 | + | 0.100476i | \(0.0320367\pi\) | ||||
−0.994939 | + | 0.100476i | \(0.967963\pi\) | |||||||
\(740\) | 11.9209 | − | 34.4192i | 0.438222 | − | 1.26527i | ||||
\(741\) | 5.10249 | + | 16.2903i | 0.187445 | + | 0.598438i | ||||
\(742\) | −18.7413 | + | 13.3426i | −0.688015 | + | 0.489821i | ||||
\(743\) | −16.8170 | − | 29.1279i | −0.616955 | − | 1.06860i | −0.990038 | − | 0.140800i | \(-0.955033\pi\) |
0.373083 | − | 0.927798i | \(-0.378301\pi\) | |||||||
\(744\) | 14.4637 | + | 21.6573i | 0.530266 | + | 0.793994i | ||||
\(745\) | 8.68910 | − | 15.0500i | 0.318344 | − | 0.551388i | ||||
\(746\) | −1.40972 | − | 14.7802i | −0.0516137 | − | 0.541141i | ||||
\(747\) | 6.16874 | + | 8.88109i | 0.225702 | + | 0.324942i | ||||
\(748\) | 3.56987 | + | 18.5438i | 0.130527 | + | 0.678029i | ||||
\(749\) | −4.88115 | − | 2.81813i | −0.178353 | − | 0.102972i | ||||
\(750\) | −21.3600 | − | 16.1896i | −0.779958 | − | 0.591160i | ||||
\(751\) | −12.6727 | − | 21.9498i | −0.462435 | − | 0.800961i | 0.536647 | − | 0.843807i | \(-0.319691\pi\) |
−0.999082 | + | 0.0428462i | \(0.986357\pi\) | |||||||
\(752\) | −12.6986 | − | 9.99521i | −0.463072 | − | 0.364488i | ||||
\(753\) | −1.70419 | + | 7.61897i | −0.0621042 | + | 0.277651i | ||||
\(754\) | 9.93943 | − | 21.7581i | 0.361973 | − | 0.792383i | ||||
\(755\) | 10.3553i | 0.376868i | ||||||||
\(756\) | 16.8230 | + | 8.54510i | 0.611845 | + | 0.310782i | ||||
\(757\) | − | 3.95103i | − | 0.143603i | −0.997419 | − | 0.0718014i | \(-0.977125\pi\) | ||
0.997419 | − | 0.0718014i | \(-0.0228748\pi\) | |||||||
\(758\) | 45.6915 | + | 20.8726i | 1.65959 | + | 0.758126i | ||||
\(759\) | −4.28726 | + | 19.1672i | −0.155618 | + | 0.695724i | ||||
\(760\) | 9.93823 | + | 9.48224i | 0.360498 | + | 0.343957i | ||||
\(761\) | −23.3979 | − | 40.5264i | −0.848175 | − | 1.46908i | −0.882835 | − | 0.469682i | \(-0.844368\pi\) |
0.0346607 | − | 0.999399i | \(-0.488965\pi\) | |||||||
\(762\) | −11.0224 | + | 14.5426i | −0.399299 | + | 0.526823i | ||||
\(763\) | −28.4347 | − | 16.4168i | −1.02941 | − | 0.594328i | ||||
\(764\) | −18.9205 | + | 3.64239i | −0.684521 | + | 0.131777i | ||||
\(765\) | −13.1467 | + | 1.10015i | −0.475318 | + | 0.0397761i | ||||
\(766\) | 50.7928 | − | 4.84459i | 1.83522 | − | 0.175042i | ||||
\(767\) | 8.15835 | − | 14.1307i | 0.294581 | − | 0.510229i | ||||
\(768\) | −24.2331 | − | 13.4445i | −0.874438 | − | 0.485136i | ||||
\(769\) | 2.60083 | + | 4.50478i | 0.0937885 | + | 0.162446i | 0.909102 | − | 0.416573i | \(-0.136769\pi\) |
−0.815314 | + | 0.579019i | \(0.803436\pi\) | |||||||
\(770\) | 16.6369 | + | 23.3686i | 0.599553 | + | 0.842147i | ||||
\(771\) | −4.25830 | − | 13.5951i | −0.153359 | − | 0.489615i | ||||
\(772\) | 4.57311 | − | 13.2039i | 0.164590 | − | 0.475219i | ||||
\(773\) | − | 38.8477i | − | 1.39725i | −0.715486 | − | 0.698627i | \(-0.753795\pi\) | ||
0.715486 | − | 0.698627i | \(-0.246205\pi\) | |||||||
\(774\) | −10.6449 | + | 1.92144i | −0.382624 | + | 0.0690648i | ||||
\(775\) | −1.07952 | −0.0387773 | ||||||||
\(776\) | −9.33965 | + | 38.4441i | −0.335274 | + | 1.38006i | ||||
\(777\) | 18.4804 | + | 16.9985i | 0.662981 | + | 0.609818i | ||||
\(778\) | 23.3126 | − | 16.5970i | 0.835798 | − | 0.595033i | ||||
\(779\) | 8.71173 | − | 5.02972i | 0.312130 | − | 0.180209i | ||||
\(780\) | 36.5617 | + | 1.09249i | 1.30912 | + | 0.0391173i | ||||
\(781\) | −56.6503 | − | 32.7071i | −2.02711 | − | 1.17035i | ||||
\(782\) | −6.28399 | + | 0.599362i | −0.224715 | + | 0.0214332i | ||||
\(783\) | 7.16627 | + | 17.5821i | 0.256102 | + | 0.628331i | ||||
\(784\) | −13.7549 | + | 5.49974i | −0.491247 | + | 0.196419i | ||||
\(785\) | 15.0271 | − | 26.0277i | 0.536340 | − | 0.928968i | ||||
\(786\) | −1.10043 | + | 8.76016i | −0.0392512 | + | 0.312465i | ||||
\(787\) | 40.8579 | − | 23.5893i | 1.45643 | − | 0.840869i | 0.457595 | − | 0.889161i | \(-0.348711\pi\) |
0.998833 | + | 0.0482918i | \(0.0153777\pi\) | |||||||
\(788\) | −6.52851 | + | 5.65451i | −0.232568 | + | 0.201434i | ||||
\(789\) | 5.89509 | − | 6.40902i | 0.209871 | − | 0.228167i | ||||
\(790\) | −29.1853 | − | 13.3323i | −1.03836 | − | 0.474341i | ||||
\(791\) | 5.14621 | 0.182978 | ||||||||
\(792\) | 32.3555 | + | 26.0809i | 1.14970 | + | 0.926746i | ||||
\(793\) | 9.17648 | 0.325866 | ||||||||
\(794\) | 5.13895 | + | 2.34755i | 0.182375 | + | 0.0833115i | ||||
\(795\) | −10.5806 | − | 33.7797i | −0.375255 | − | 1.19804i | ||||
\(796\) | −7.73392 | − | 8.92932i | −0.274122 | − | 0.316492i | ||||
\(797\) | −6.35645 | + | 3.66990i | −0.225157 | + | 0.129995i | −0.608336 | − | 0.793680i | \(-0.708163\pi\) |
0.383179 | + | 0.923674i | \(0.374829\pi\) | |||||||
\(798\) | −8.72641 | + | 3.67544i | −0.308912 | + | 0.130109i | ||||
\(799\) | −3.89442 | + | 6.74533i | −0.137775 | + | 0.238633i | ||||
\(800\) | 1.02132 | − | 0.525828i | 0.0361091 | − | 0.0185908i | ||||
\(801\) | 6.78434 | + | 3.19485i | 0.239713 | + | 0.112884i | ||||
\(802\) | 39.4541 | − | 3.76310i | 1.39317 | − | 0.132880i | ||||
\(803\) | 49.0286 | + | 28.3067i | 1.73018 | + | 0.998920i | ||||
\(804\) | 26.2944 | + | 16.2470i | 0.927331 | + | 0.572989i | ||||
\(805\) | −8.30423 | + | 4.79445i | −0.292686 | + | 0.168982i | ||||
\(806\) | −28.3508 | + | 20.1839i | −0.998614 | + | 0.710947i | ||||
\(807\) | 8.75542 | − | 39.1431i | 0.308205 | − | 1.37790i | ||||
\(808\) | 3.58903 | + | 0.871921i | 0.126262 | + | 0.0306741i | ||||
\(809\) | 2.25520 | 0.0792887 | 0.0396443 | − | 0.999214i | \(-0.487378\pi\) | ||||
0.0396443 | + | 0.999214i | \(0.487378\pi\) | |||||||
\(810\) | −20.5237 | + | 20.5347i | −0.721129 | + | 0.721517i | ||||
\(811\) | − | 15.9986i | − | 0.561785i | −0.959739 | − | 0.280893i | \(-0.909369\pi\) | ||
0.959739 | − | 0.280893i | \(-0.0906305\pi\) | |||||||
\(812\) | 12.5378 | + | 4.34242i | 0.439992 | + | 0.152389i | ||||
\(813\) | 35.3889 | + | 7.91569i | 1.24114 | + | 0.277615i | ||||
\(814\) | 32.0740 | + | 45.0519i | 1.12419 | + | 1.57907i | ||||
\(815\) | 23.4844 | + | 40.6761i | 0.822622 | + | 1.42482i | ||||
\(816\) | −4.74630 | + | 12.4850i | −0.166154 | + | 0.437062i | ||||
\(817\) | 2.71411 | − | 4.70098i | 0.0949548 | − | 0.164467i | ||||
\(818\) | 23.1582 | − | 2.20881i | 0.809707 | − | 0.0772293i | ||||
\(819\) | −10.7424 | + | 22.8118i | −0.375371 | + | 0.797110i | ||||
\(820\) | −4.07470 | − | 21.1662i | −0.142295 | − | 0.739154i | ||||
\(821\) | 25.2413 | + | 14.5731i | 0.880928 | + | 0.508604i | 0.870964 | − | 0.491347i | \(-0.163495\pi\) |
0.00996351 | + | 0.999950i | \(0.496828\pi\) | |||||||
\(822\) | −11.1842 | − | 26.5540i | −0.390093 | − | 0.926178i | ||||
\(823\) | −4.15695 | − | 7.20005i | −0.144902 | − | 0.250978i | 0.784434 | − | 0.620212i | \(-0.212953\pi\) |
−0.929336 | + | 0.369234i | \(0.879620\pi\) | |||||||
\(824\) | 13.1916 | + | 12.5863i | 0.459550 | + | 0.438465i | ||||
\(825\) | −1.64389 | + | 0.514906i | −0.0572330 | + | 0.0179267i | ||||
\(826\) | 8.23234 | + | 3.76066i | 0.286440 | + | 0.130850i | ||||
\(827\) | 43.5035i | 1.51277i | 0.654129 | + | 0.756383i | \(0.273035\pi\) | ||||
−0.654129 | + | 0.756383i | \(0.726965\pi\) | |||||||
\(828\) | −9.70567 | + | 9.93891i | −0.337295 | + | 0.345401i | ||||
\(829\) | 15.9248i | 0.553092i | 0.961001 | + | 0.276546i | \(0.0891897\pi\) | ||||
−0.961001 | + | 0.276546i | \(0.910810\pi\) | |||||||
\(830\) | −4.83132 | + | 10.5761i | −0.167698 | + | 0.367102i | ||||
\(831\) | −28.3636 | − | 26.0892i | −0.983921 | − | 0.905023i | ||||
\(832\) | 16.9909 | − | 32.9053i | 0.589054 | − | 1.14079i | ||||
\(833\) | 3.56987 | + | 6.18320i | 0.123689 | + | 0.214235i | ||||
\(834\) | 3.89194 | − | 30.9823i | 0.134767 | − | 1.07283i | ||||
\(835\) | −10.0317 | − | 5.79180i | −0.347161 | − | 0.200433i | ||||
\(836\) | −20.4790 | + | 3.94242i | −0.708282 | + | 0.136351i | ||||
\(837\) | 3.76062 | − | 27.3656i | 0.129986 | − | 0.945892i | ||||
\(838\) | −3.18741 | − | 33.4183i | −0.110107 | − | 1.15442i | ||||
\(839\) | −21.0582 | + | 36.4739i | −0.727009 | + | 1.25922i | 0.231132 | + | 0.972922i | \(0.425757\pi\) |
−0.958142 | + | 0.286295i | \(0.907576\pi\) | |||||||
\(840\) | 1.32233 | + | 20.2462i | 0.0456247 | + | 0.698559i | ||||
\(841\) | −7.82437 | − | 13.5522i | −0.269806 | − | 0.467318i | ||||
\(842\) | −34.5106 | + | 24.5692i | −1.18931 | + | 0.846712i | ||||
\(843\) | −21.7635 | + | 23.6608i | −0.749575 | + | 0.814922i | ||||
\(844\) | −34.6496 | − | 12.0007i | −1.19269 | − | 0.413082i | ||||
\(845\) | 19.2266i | 0.661415i | ||||||||
\(846\) | 3.04475 | + | 16.8681i | 0.104681 | + | 0.579938i | ||||
\(847\) | −23.5806 | −0.810238 | ||||||||
\(848\) | −35.4713 | − | 5.11567i | −1.21809 | − | 0.175673i | ||||
\(849\) | −3.35836 | + | 1.05192i | −0.115259 | + | 0.0361017i | ||||
\(850\) | −0.321102 | − | 0.451028i | −0.0110137 | − | 0.0154701i | ||||
\(851\) | −16.0095 | + | 9.24311i | −0.548800 | + | 0.316850i | ||||
\(852\) | −21.9264 | − | 40.7414i | −0.751186 | − | 1.39578i | ||||
\(853\) | 34.2013 | + | 19.7461i | 1.17103 | + | 0.676095i | 0.953923 | − | 0.300053i | \(-0.0970043\pi\) |
0.217108 | + | 0.976148i | \(0.430338\pi\) | |||||||
\(854\) | 0.483293 | + | 5.06706i | 0.0165379 | + | 0.173391i | ||||
\(855\) | −1.21496 | − | 14.5186i | −0.0415509 | − | 0.496526i | ||||
\(856\) | −2.47094 | − | 8.42535i | −0.0844549 | − | 0.287972i | ||||
\(857\) | −12.6170 | + | 21.8532i | −0.430988 | + | 0.746493i | −0.996959 | − | 0.0779326i | \(-0.975168\pi\) |
0.565971 | + | 0.824425i | \(0.308501\pi\) | |||||||
\(858\) | −33.5455 | + | 44.2589i | −1.14522 | + | 1.51097i | ||||
\(859\) | −47.5539 | + | 27.4552i | −1.62252 | + | 0.936761i | −0.636274 | + | 0.771463i | \(0.719525\pi\) |
−0.986244 | + | 0.165297i | \(0.947142\pi\) | |||||||
\(860\) | −7.61498 | − | 8.79199i | −0.259669 | − | 0.299805i | ||||
\(861\) | 14.5003 | + | 3.24338i | 0.494167 | + | 0.110534i | ||||
\(862\) | −6.48546 | + | 14.1971i | −0.220896 | + | 0.483555i | ||||
\(863\) | −54.3877 | −1.85138 | −0.925689 | − | 0.378285i | \(-0.876514\pi\) | ||||
−0.925689 | + | 0.378285i | \(0.876514\pi\) | |||||||
\(864\) | 9.77177 | + | 27.7221i | 0.332442 | + | 0.943124i | ||||
\(865\) | 29.0778 | 0.988675 | ||||||||
\(866\) | 20.5313 | − | 44.9443i | 0.697681 | − | 1.52727i | ||||
\(867\) | −22.4525 | − | 5.02212i | −0.762527 | − | 0.170560i | ||||
\(868\) | −12.6383 | − | 14.5917i | −0.428971 | − | 0.495275i | ||||
\(869\) | 42.1888 | − | 24.3577i | 1.43116 | − | 0.826278i | ||||
\(870\) | −12.3320 | + | 16.2704i | −0.418093 | + | 0.551620i | ||||
\(871\) | −20.6521 | + | 35.7704i | −0.699768 | + | 1.21203i | ||||
\(872\) | −14.3942 | − | 49.0812i | −0.487451 | − | 1.66210i | ||||
\(873\) | 34.4641 | − | 23.9385i | 1.16643 | − | 0.810196i | ||||
\(874\) | −0.661911 | − | 6.93977i | −0.0223895 | − | 0.234741i | ||||
\(875\) | 17.2050 | + | 9.93334i | 0.581637 | + | 0.335808i | ||||
\(876\) | 18.9764 | + | 35.2600i | 0.641154 | + | 1.19133i | ||||
\(877\) | −5.90001 | + | 3.40637i | −0.199229 | + | 0.115025i | −0.596296 | − | 0.802765i | \(-0.703361\pi\) |
0.397067 | + | 0.917790i | \(0.370028\pi\) | |||||||
\(878\) | 10.8023 | + | 15.1732i | 0.364561 | + | 0.512071i | ||||
\(879\) | −56.3951 | + | 17.6642i | −1.90216 | + | 0.595800i | ||||
\(880\) | −6.37875 | + | 44.2294i | −0.215028 | + | 1.49097i | ||||
\(881\) | −43.2881 | −1.45841 | −0.729207 | − | 0.684293i | \(-0.760111\pi\) | ||||
−0.729207 | + | 0.684293i | \(0.760111\pi\) | |||||||
\(882\) | 14.7863 | + | 5.31411i | 0.497882 | + | 0.178935i | ||||
\(883\) | − | 31.1510i | − | 1.04832i | −0.851621 | − | 0.524158i | \(-0.824380\pi\) | ||
0.851621 | − | 0.524158i | \(-0.175620\pi\) | |||||||
\(884\) | −16.8659 | − | 5.84143i | −0.567262 | − | 0.196469i | ||||
\(885\) | −9.42756 | + | 10.2494i | −0.316904 | + | 0.344531i | ||||
\(886\) | 31.5080 | − | 22.4316i | 1.05853 | − | 0.753605i | ||||
\(887\) | −24.8886 | − | 43.1083i | −0.835677 | − | 1.44743i | −0.893478 | − | 0.449107i | \(-0.851742\pi\) |
0.0578015 | − | 0.998328i | \(-0.481591\pi\) | |||||||
\(888\) | 2.54929 | + | 39.0322i | 0.0855486 | + | 1.30983i | ||||
\(889\) | 6.76295 | − | 11.7138i | 0.226822 | − | 0.392867i | ||||
\(890\) | 0.765617 | + | 8.02708i | 0.0256636 | + | 0.269068i | ||||
\(891\) | −7.32608 | − | 43.4662i | −0.245433 | − | 1.45617i | ||||
\(892\) | 10.3407 | − | 1.99068i | 0.346231 | − | 0.0666529i | ||||
\(893\) | −7.44926 | − | 4.30083i | −0.249280 | − | 0.143922i | ||||
\(894\) | −2.32596 | + | 18.5162i | −0.0777918 | + | 0.619273i | ||||
\(895\) | −10.0595 | − | 17.4236i | −0.336253 | − | 0.582407i | ||||
\(896\) | 19.0645 | + | 7.64902i | 0.636900 | + | 0.255536i | ||||
\(897\) | −13.6630 | − | 12.5674i | −0.456194 | − | 0.419613i | ||||
\(898\) | −8.12242 | + | 17.7805i | −0.271049 | + | 0.593344i | ||||
\(899\) | − | 19.4243i | − | 0.647838i | ||||||
\(900\) | −1.18056 | − | 0.301354i | −0.0393520 | − | 0.0100451i | ||||
\(901\) | 17.2730i | 0.575447i | ||||||||
\(902\) | 29.7670 | + | 13.5980i | 0.991133 | + | 0.452765i | ||||
\(903\) | 7.65135 | − | 2.39658i | 0.254621 | − | 0.0797532i | ||||
\(904\) | 5.80024 | + | 5.53411i | 0.192913 | + | 0.184062i | ||||
\(905\) | 17.6059 | + | 30.4944i | 0.585241 | + | 1.01367i | ||||
\(906\) | −4.31639 | − | 10.2482i | −0.143402 | − | 0.340473i | ||||
\(907\) | 16.6712 | + | 9.62515i | 0.553559 | + | 0.319598i | 0.750556 | − | 0.660806i | \(-0.229786\pi\) |
−0.196997 | + | 0.980404i | \(0.563119\pi\) | |||||||
\(908\) | 0.670731 | + | 3.48413i | 0.0222590 | + | 0.115625i | ||||
\(909\) | −2.23483 | − | 3.21747i | −0.0741245 | − | 0.106717i | ||||
\(910\) | −26.9905 | + | 2.57433i | −0.894725 | + | 0.0853383i | ||||
\(911\) | 11.1396 | − | 19.2944i | 0.369072 | − | 0.639252i | −0.620348 | − | 0.784326i | \(-0.713009\pi\) |
0.989421 | + | 0.145074i | \(0.0463421\pi\) | |||||||
\(912\) | −13.7879 | − | 5.24162i | −0.456563 | − | 0.173567i | ||||
\(913\) | −8.82669 | − | 15.2883i | −0.292121 | − | 0.505968i | ||||
\(914\) | 4.69491 | + | 6.59459i | 0.155294 | + | 0.218130i | ||||
\(915\) | −7.64302 | − | 1.70957i | −0.252670 | − | 0.0565166i | ||||
\(916\) | −7.21633 | − | 2.49934i | −0.238434 | − | 0.0825807i | ||||
\(917\) | − | 6.54438i | − | 0.216114i | ||||||
\(918\) | 12.5521 | − | 6.56868i | 0.414281 | − | 0.216799i | ||||
\(919\) | 28.0122 | 0.924039 | 0.462019 | − | 0.886870i | \(-0.347125\pi\) | ||||
0.462019 | + | 0.886870i | \(0.347125\pi\) | |||||||
\(920\) | −14.5154 | − | 3.52639i | −0.478559 | − | 0.116262i | ||||
\(921\) | −1.80565 | + | 8.07259i | −0.0594983 | + | 0.266001i | ||||
\(922\) | 25.7702 | − | 18.3467i | 0.848696 | − | 0.604215i | ||||
\(923\) | 53.5440 | − | 30.9136i | 1.76242 | − | 1.01753i | ||||
\(924\) | −26.2056 | − | 16.1922i | −0.862099 | − | 0.532683i | ||||
\(925\) | −1.40416 | − | 0.810691i | −0.0461684 | − | 0.0266554i | ||||
\(926\) | 52.2958 | − | 4.98794i | 1.71855 | − | 0.163914i | ||||
\(927\) | −1.61269 | − | 19.2714i | −0.0529677 | − | 0.632955i | ||||
\(928\) | 9.46151 | + | 18.3772i | 0.310589 | + | 0.603260i | ||||
\(929\) | −3.94220 | + | 6.82809i | −0.129339 | + | 0.224022i | −0.923421 | − | 0.383789i | \(-0.874619\pi\) |
0.794081 | + | 0.607811i | \(0.207952\pi\) | |||||||
\(930\) | 27.3734 | − | 11.5293i | 0.897609 | − | 0.378060i | ||||
\(931\) | −6.82847 | + | 3.94242i | −0.223794 | + | 0.129208i | ||||
\(932\) | 26.6078 | + | 30.7205i | 0.871569 | + | 1.00628i | ||||
\(933\) | −11.5731 | − | 36.9484i | −0.378886 | − | 1.20964i | ||||
\(934\) | −29.1808 | − | 13.3303i | −0.954827 | − | 0.436179i | ||||
\(935\) | 21.5378 | 0.704361 | ||||||||
\(936\) | −36.6389 | + | 14.1588i | −1.19758 | + | 0.462795i | ||||
\(937\) | −8.98600 | −0.293560 | −0.146780 | − | 0.989169i | \(-0.546891\pi\) | ||||
−0.146780 | + | 0.989169i | \(0.546891\pi\) | |||||||
\(938\) | −20.8393 | − | 9.51973i | −0.680429 | − | 0.310830i | ||||
\(939\) | 2.87070 | − | 3.12096i | 0.0936817 | − | 0.101849i | ||||
\(940\) | −13.9320 | + | 12.0668i | −0.454410 | + | 0.393577i | ||||
\(941\) | 21.0227 | − | 12.1375i | 0.685322 | − | 0.395671i | −0.116535 | − | 0.993187i | \(-0.537179\pi\) |
0.801857 | + | 0.597516i | \(0.203845\pi\) | |||||||
\(942\) | −4.02256 | + | 32.0222i | −0.131062 | + | 1.04334i | ||||
\(943\) | −5.46967 | + | 9.47375i | −0.178117 | + | 0.308508i | ||||
\(944\) | 5.23445 | + | 13.0914i | 0.170367 | + | 0.426090i | ||||
\(945\) | 13.1971 | − | 16.9985i | 0.429302 | − | 0.552961i | ||||
\(946\) | 17.5796 | − | 1.67673i | 0.571561 | − | 0.0545151i | ||||
\(947\) | 1.71382 | + | 0.989473i | 0.0556916 | + | 0.0321536i | 0.527587 | − | 0.849501i | \(-0.323097\pi\) |
−0.471896 | + | 0.881654i | \(0.656430\pi\) | |||||||
\(948\) | 34.4406 | + | 1.02911i | 1.11858 | + | 0.0334239i | ||||
\(949\) | −46.3402 | + | 26.7545i | −1.50427 | + | 0.868488i | ||||
\(950\) | 0.498097 | − | 0.354612i | 0.0161604 | − | 0.0115051i | ||||
\(951\) | 21.0328 | + | 19.3462i | 0.682036 | + | 0.627345i | ||||
\(952\) | 2.33725 | − | 9.62065i | 0.0757506 | − | 0.311807i | ||||
\(953\) | 28.9674 | 0.938347 | 0.469173 | − | 0.883106i | \(-0.344552\pi\) | ||||
0.469173 | + | 0.883106i | \(0.344552\pi\) | |||||||
\(954\) | 24.5515 | + | 29.0200i | 0.794884 | + | 0.939556i | ||||
\(955\) | 21.9753i | 0.711104i | ||||||||
\(956\) | 11.3866 | − | 32.8764i | 0.368269 | − | 1.06330i | ||||
\(957\) | −9.26498 | − | 29.5795i | −0.299494 | − | 0.956169i | ||||
\(958\) | −21.5838 | − | 30.3171i | −0.697341 | − | 0.979503i | ||||
\(959\) | 10.6787 | + | 18.4960i | 0.344833 | + | 0.597268i | ||||
\(960\) | −20.2818 | + | 24.2412i | −0.654593 | + | 0.782382i | ||||
\(961\) | 1.37008 | − | 2.37304i | 0.0441961 | − | 0.0765498i | ||||
\(962\) | −52.0343 | + | 4.96300i | −1.67765 | + | 0.160014i | ||||
\(963\) | −3.96762 | + | 8.42535i | −0.127855 | + | 0.271503i | ||||
\(964\) | 26.9300 | − | 5.18428i | 0.867355 | − | 0.166975i | ||||
\(965\) | −13.8017 | − | 7.96842i | −0.444293 | − | 0.256512i | ||||
\(966\) | 6.21987 | − | 8.20630i | 0.200121 | − | 0.264033i | ||||
\(967\) | 0.00531192 | + | 0.00920052i | 0.000170820 | + | 0.000295869i | 0.866111 | − | 0.499852i | \(-0.166612\pi\) |
−0.865940 | + | 0.500148i | \(0.833279\pi\) | |||||||
\(968\) | −26.5774 | − | 25.3579i | −0.854229 | − | 0.815035i | ||||
\(969\) | −1.55185 | + | 6.93791i | −0.0498527 | + | 0.222878i | ||||
\(970\) | 41.0418 | + | 18.7485i | 1.31777 | + | 0.601979i | ||||
\(971\) | − | 17.0984i | − | 0.548715i | −0.961628 | − | 0.274357i | \(-0.911535\pi\) | ||
0.961628 | − | 0.274357i | \(-0.0884651\pi\) | |||||||
\(972\) | 11.7519 | − | 28.8772i | 0.376943 | − | 0.926237i | ||||
\(973\) | 23.1457i | 0.742017i | ||||||||
\(974\) | −14.1258 | + | 30.9224i | −0.452620 | + | 0.990817i | ||||
\(975\) | 0.355407 | − | 1.58893i | 0.0113821 | − | 0.0508864i | ||||
\(976\) | −4.90427 | + | 6.23074i | −0.156982 | + | 0.199441i | ||||
\(977\) | −5.50612 | − | 9.53688i | −0.176156 | − | 0.305112i | 0.764404 | − | 0.644737i | \(-0.223033\pi\) |
−0.940561 | + | 0.339625i | \(0.889700\pi\) | |||||||
\(978\) | −40.1965 | − | 30.4664i | −1.28534 | − | 0.974209i | ||||
\(979\) | −10.6023 | − | 6.12126i | −0.338852 | − | 0.195636i | ||||
\(980\) | 3.19385 | + | 16.5905i | 0.102024 | + | 0.529966i | ||||
\(981\) | −23.1131 | + | 49.0812i | −0.737943 | + | 1.56704i | ||||
\(982\) | 4.22133 | + | 44.2583i | 0.134708 | + | 1.41234i | ||||
\(983\) | 22.7443 | − | 39.3943i | 0.725432 | − | 1.25648i | −0.233364 | − | 0.972389i | \(-0.574973\pi\) |
0.958796 | − | 0.284095i | \(-0.0916932\pi\) | |||||||
\(984\) | 12.8552 | + | 19.2488i | 0.409809 | + | 0.613628i | ||||
\(985\) | 4.92521 | + | 8.53071i | 0.156930 | + | 0.271811i | ||||
\(986\) | 8.11560 | − | 5.77777i | 0.258453 | − | 0.184002i | ||||
\(987\) | −3.79767 | − | 12.1245i | −0.120881 | − | 0.385926i | ||||
\(988\) | 6.45103 | − | 18.6260i | 0.205235 | − | 0.592572i | ||||
\(989\) | 5.90304i | 0.187706i | ||||||||
\(990\) | 36.1852 | − | 30.6134i | 1.15004 | − | 0.972957i | ||||
\(991\) | 3.93737 | 0.125075 | 0.0625374 | − | 0.998043i | \(-0.480081\pi\) | ||||
0.0625374 | + | 0.998043i | \(0.480081\pi\) | |||||||
\(992\) | 1.44711 | − | 30.0370i | 0.0459458 | − | 0.953675i | ||||
\(993\) | 0.484583 | + | 0.445725i | 0.0153778 | + | 0.0141447i | ||||
\(994\) | 19.8898 | + | 27.9378i | 0.630868 | + | 0.886132i | ||||
\(995\) | −11.6678 | + | 6.73642i | −0.369895 | + | 0.213559i | ||||
\(996\) | 0.372926 | − | 12.4805i | 0.0118166 | − | 0.395461i | ||||
\(997\) | −2.16558 | − | 1.25030i | −0.0685847 | − | 0.0395974i | 0.465316 | − | 0.885145i | \(-0.345941\pi\) |
−0.533900 | + | 0.845547i | \(0.679274\pi\) | |||||||
\(998\) | 0.787897 | + | 8.26066i | 0.0249404 | + | 0.261487i | ||||
\(999\) | 25.4424 | − | 32.7710i | 0.804963 | − | 1.03683i |
(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 | 72.2.n.b.61.5 | yes | 16 | |
3.2 | odd | 2 | 216.2.n.b.181.4 | 16 | |||
4.3 | odd | 2 | 288.2.r.b.241.1 | 16 | |||
8.3 | odd | 2 | 288.2.r.b.241.8 | 16 | |||
8.5 | even | 2 | inner | 72.2.n.b.61.6 | yes | 16 | |
9.2 | odd | 6 | 648.2.d.k.325.7 | 8 | |||
9.4 | even | 3 | inner | 72.2.n.b.13.6 | yes | 16 | |
9.5 | odd | 6 | 216.2.n.b.37.3 | 16 | |||
9.7 | even | 3 | 648.2.d.j.325.2 | 8 | |||
12.11 | even | 2 | 864.2.r.b.721.7 | 16 | |||
24.5 | odd | 2 | 216.2.n.b.181.3 | 16 | |||
24.11 | even | 2 | 864.2.r.b.721.2 | 16 | |||
36.7 | odd | 6 | 2592.2.d.j.1297.2 | 8 | |||
36.11 | even | 6 | 2592.2.d.k.1297.7 | 8 | |||
36.23 | even | 6 | 864.2.r.b.145.2 | 16 | |||
36.31 | odd | 6 | 288.2.r.b.49.8 | 16 | |||
72.5 | odd | 6 | 216.2.n.b.37.4 | 16 | |||
72.11 | even | 6 | 2592.2.d.k.1297.2 | 8 | |||
72.13 | even | 6 | inner | 72.2.n.b.13.5 | ✓ | 16 | |
72.29 | odd | 6 | 648.2.d.k.325.8 | 8 | |||
72.43 | odd | 6 | 2592.2.d.j.1297.7 | 8 | |||
72.59 | even | 6 | 864.2.r.b.145.7 | 16 | |||
72.61 | even | 6 | 648.2.d.j.325.1 | 8 | |||
72.67 | odd | 6 | 288.2.r.b.49.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.2.n.b.13.5 | ✓ | 16 | 72.13 | even | 6 | inner | |
72.2.n.b.13.6 | yes | 16 | 9.4 | even | 3 | inner | |
72.2.n.b.61.5 | yes | 16 | 1.1 | even | 1 | trivial | |
72.2.n.b.61.6 | yes | 16 | 8.5 | even | 2 | inner | |
216.2.n.b.37.3 | 16 | 9.5 | odd | 6 | |||
216.2.n.b.37.4 | 16 | 72.5 | odd | 6 | |||
216.2.n.b.181.3 | 16 | 24.5 | odd | 2 | |||
216.2.n.b.181.4 | 16 | 3.2 | odd | 2 | |||
288.2.r.b.49.1 | 16 | 72.67 | odd | 6 | |||
288.2.r.b.49.8 | 16 | 36.31 | odd | 6 | |||
288.2.r.b.241.1 | 16 | 4.3 | odd | 2 | |||
288.2.r.b.241.8 | 16 | 8.3 | odd | 2 | |||
648.2.d.j.325.1 | 8 | 72.61 | even | 6 | |||
648.2.d.j.325.2 | 8 | 9.7 | even | 3 | |||
648.2.d.k.325.7 | 8 | 9.2 | odd | 6 | |||
648.2.d.k.325.8 | 8 | 72.29 | odd | 6 | |||
864.2.r.b.145.2 | 16 | 36.23 | even | 6 | |||
864.2.r.b.145.7 | 16 | 72.59 | even | 6 | |||
864.2.r.b.721.2 | 16 | 24.11 | even | 2 | |||
864.2.r.b.721.7 | 16 | 12.11 | even | 2 | |||
2592.2.d.j.1297.2 | 8 | 36.7 | odd | 6 | |||
2592.2.d.j.1297.7 | 8 | 72.43 | odd | 6 | |||
2592.2.d.k.1297.2 | 8 | 72.11 | even | 6 | |||
2592.2.d.k.1297.7 | 8 | 36.11 | even | 6 |