Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), 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: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 32.3 | ||
Character | \(\chi\) | \(=\) | 49.32 |
Dual form | 49.2.g.a.23.3 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0658689 | + | 0.878959i | 0.0465763 | + | 0.621518i | 0.970835 | + | 0.239750i | \(0.0770655\pi\) |
−0.924258 | + | 0.381768i | \(0.875315\pi\) | |||||||
\(3\) | −0.269714 | − | 0.0831957i | −0.155719 | − | 0.0480330i | 0.215915 | − | 0.976412i | \(-0.430726\pi\) |
−0.371635 | + | 0.928379i | \(0.621203\pi\) | |||||||
\(4\) | 1.20943 | − | 0.182293i | 0.604716 | − | 0.0911463i | ||||
\(5\) | −1.49036 | + | 1.38285i | −0.666510 | + | 0.618431i | −0.939077 | − | 0.343706i | \(-0.888318\pi\) |
0.272568 | + | 0.962137i | \(0.412127\pi\) | |||||||
\(6\) | 0.0553598 | − | 0.242547i | 0.0226005 | − | 0.0990195i | ||||
\(7\) | −0.607511 | − | 2.57506i | −0.229618 | − | 0.973281i | ||||
\(8\) | 0.632162 | + | 2.76968i | 0.223503 | + | 0.979230i | ||||
\(9\) | −2.41289 | − | 1.64508i | −0.804297 | − | 0.548361i | ||||
\(10\) | −1.31364 | − | 1.21888i | −0.415409 | − | 0.385443i | ||||
\(11\) | 1.64705 | − | 1.12294i | 0.496603 | − | 0.338578i | −0.288979 | − | 0.957335i | \(-0.593316\pi\) |
0.785582 | + | 0.618757i | \(0.212363\pi\) | |||||||
\(12\) | −0.341366 | − | 0.0514527i | −0.0985440 | − | 0.0148531i | ||||
\(13\) | −3.26094 | − | 1.57038i | −0.904421 | − | 0.435546i | −0.0769375 | − | 0.997036i | \(-0.524514\pi\) |
−0.827484 | + | 0.561490i | \(0.810228\pi\) | |||||||
\(14\) | 2.22335 | − | 0.703594i | 0.594217 | − | 0.188043i | ||||
\(15\) | 0.517018 | − | 0.248983i | 0.133494 | − | 0.0642871i | ||||
\(16\) | −0.0552877 | + | 0.0170540i | −0.0138219 | + | 0.00426350i | ||||
\(17\) | −0.409339 | − | 1.04298i | −0.0992792 | − | 0.252959i | 0.872602 | − | 0.488433i | \(-0.162431\pi\) |
−0.971881 | + | 0.235473i | \(0.924336\pi\) | |||||||
\(18\) | 1.28702 | − | 2.22919i | 0.303355 | − | 0.525426i | ||||
\(19\) | 3.73687 | + | 6.47246i | 0.857298 | + | 1.48488i | 0.874497 | + | 0.485031i | \(0.161192\pi\) |
−0.0171988 | + | 0.999852i | \(0.505475\pi\) | |||||||
\(20\) | −1.55041 | + | 1.94415i | −0.346681 | + | 0.434725i | ||||
\(21\) | −0.0503796 | + | 0.745071i | −0.0109937 | + | 0.162588i | ||||
\(22\) | 1.09550 | + | 1.37372i | 0.233562 | + | 0.292878i | ||||
\(23\) | −1.94485 | + | 4.95539i | −0.405529 | + | 1.03327i | 0.571583 | + | 0.820544i | \(0.306330\pi\) |
−0.977112 | + | 0.212727i | \(0.931766\pi\) | |||||||
\(24\) | 0.0599228 | − | 0.799614i | 0.0122317 | − | 0.163221i | ||||
\(25\) | −0.0647567 | + | 0.864118i | −0.0129513 | + | 0.172824i | ||||
\(26\) | 1.16551 | − | 2.96967i | 0.228575 | − | 0.582400i | ||||
\(27\) | 1.04187 | + | 1.30647i | 0.200509 | + | 0.251430i | ||||
\(28\) | −1.20416 | − | 3.00361i | −0.227564 | − | 0.567630i | ||||
\(29\) | 1.28279 | − | 1.60857i | 0.238209 | − | 0.298705i | −0.648329 | − | 0.761360i | \(-0.724532\pi\) |
0.886538 | + | 0.462656i | \(0.153103\pi\) | |||||||
\(30\) | 0.252901 | + | 0.438037i | 0.0461732 | + | 0.0799743i | ||||
\(31\) | 2.48025 | − | 4.29592i | 0.445466 | − | 0.771570i | −0.552619 | − | 0.833434i | \(-0.686371\pi\) |
0.998085 | + | 0.0618646i | \(0.0197047\pi\) | |||||||
\(32\) | 2.05717 | + | 5.24158i | 0.363660 | + | 0.926590i | ||||
\(33\) | −0.537654 | + | 0.165844i | −0.0935936 | + | 0.0288698i | ||||
\(34\) | 0.889772 | − | 0.428491i | 0.152595 | − | 0.0734857i | ||||
\(35\) | 4.46634 | + | 2.99767i | 0.754949 | + | 0.506699i | ||||
\(36\) | −3.21812 | − | 1.54976i | −0.536353 | − | 0.258294i | ||||
\(37\) | 0.814555 | + | 0.122774i | 0.133912 | + | 0.0201840i | 0.215656 | − | 0.976469i | \(-0.430811\pi\) |
−0.0817442 | + | 0.996653i | \(0.526049\pi\) | |||||||
\(38\) | −5.44288 | + | 3.71089i | −0.882952 | + | 0.601986i | ||||
\(39\) | 0.748870 | + | 0.694850i | 0.119915 | + | 0.111265i | ||||
\(40\) | −4.77221 | − | 3.25364i | −0.754553 | − | 0.514446i | ||||
\(41\) | −1.33292 | − | 5.83991i | −0.208167 | − | 0.912041i | −0.965785 | − | 0.259343i | \(-0.916494\pi\) |
0.757618 | − | 0.652698i | \(-0.226363\pi\) | |||||||
\(42\) | −0.658205 | + | 0.00479541i | −0.101563 | + | 0.000739948i | ||||
\(43\) | 0.518849 | − | 2.27323i | 0.0791238 | − | 0.346664i | −0.919834 | − | 0.392308i | \(-0.871677\pi\) |
0.998958 | + | 0.0456439i | \(0.0145339\pi\) | |||||||
\(44\) | 1.78729 | − | 1.65836i | 0.269444 | − | 0.250007i | ||||
\(45\) | 5.87099 | − | 0.884909i | 0.875195 | − | 0.131914i | ||||
\(46\) | −4.48369 | − | 1.38304i | −0.661084 | − | 0.203918i | ||||
\(47\) | −0.407053 | − | 5.43174i | −0.0593748 | − | 0.792301i | −0.944827 | − | 0.327570i | \(-0.893770\pi\) |
0.885452 | − | 0.464731i | \(-0.153849\pi\) | |||||||
\(48\) | 0.0163307 | 0.00235713 | ||||||||
\(49\) | −6.26186 | + | 3.12876i | −0.894551 | + | 0.446965i | ||||
\(50\) | −0.763790 | −0.108016 | ||||||||
\(51\) | 0.0236330 | + | 0.315360i | 0.00330928 | + | 0.0441593i | ||||
\(52\) | −4.23015 | − | 1.30483i | −0.586616 | − | 0.180947i | ||||
\(53\) | −13.4919 | + | 2.03358i | −1.85326 | + | 0.279334i | −0.978655 | − | 0.205509i | \(-0.934115\pi\) |
−0.874602 | + | 0.484842i | \(0.838877\pi\) | |||||||
\(54\) | −1.07970 | + | 1.00182i | −0.146929 | + | 0.136330i | ||||
\(55\) | −0.901837 | + | 3.95120i | −0.121604 | + | 0.532780i | ||||
\(56\) | 6.74805 | − | 3.31047i | 0.901746 | − | 0.442380i | ||||
\(57\) | −0.469406 | − | 2.05660i | −0.0621743 | − | 0.272404i | ||||
\(58\) | 1.49837 | + | 1.02157i | 0.196745 | + | 0.134139i | ||||
\(59\) | 7.41658 | + | 6.88158i | 0.965556 | + | 0.895905i | 0.994611 | − | 0.103673i | \(-0.0330594\pi\) |
−0.0290552 | + | 0.999578i | \(0.509250\pi\) | |||||||
\(60\) | 0.579911 | − | 0.395376i | 0.0748661 | − | 0.0510429i | ||||
\(61\) | 8.84072 | + | 1.33252i | 1.13194 | + | 0.170612i | 0.688184 | − | 0.725536i | \(-0.258408\pi\) |
0.443754 | + | 0.896149i | \(0.353646\pi\) | |||||||
\(62\) | 3.93931 | + | 1.89707i | 0.500292 | + | 0.240928i | ||||
\(63\) | −2.77032 | + | 7.21275i | −0.349028 | + | 0.908721i | ||||
\(64\) | −4.57589 | + | 2.20363i | −0.571986 | + | 0.275454i | ||||
\(65\) | 7.03159 | − | 2.16896i | 0.872161 | − | 0.269026i | ||||
\(66\) | −0.181185 | − | 0.461652i | −0.0223023 | − | 0.0568254i | ||||
\(67\) | 5.76466 | − | 9.98468i | 0.704265 | − | 1.21982i | −0.262691 | − | 0.964880i | \(-0.584610\pi\) |
0.966956 | − | 0.254943i | \(-0.0820567\pi\) | |||||||
\(68\) | −0.685194 | − | 1.18679i | −0.0830920 | − | 0.143920i | ||||
\(69\) | 0.936820 | − | 1.17473i | 0.112780 | − | 0.141421i | ||||
\(70\) | −2.34063 | + | 4.12318i | −0.279759 | + | 0.492814i | ||||
\(71\) | −2.62321 | − | 3.28940i | −0.311318 | − | 0.390380i | 0.601415 | − | 0.798937i | \(-0.294604\pi\) |
−0.912733 | + | 0.408556i | \(0.866032\pi\) | |||||||
\(72\) | 3.03102 | − | 7.72290i | 0.357209 | − | 0.910153i | ||||
\(73\) | −0.880793 | + | 11.7534i | −0.103089 | + | 1.37563i | 0.670486 | + | 0.741922i | \(0.266086\pi\) |
−0.773575 | + | 0.633705i | \(0.781533\pi\) | |||||||
\(74\) | −0.0542598 | + | 0.724047i | −0.00630758 | + | 0.0841687i | ||||
\(75\) | 0.0893566 | − | 0.227677i | 0.0103180 | − | 0.0262899i | ||||
\(76\) | 5.69938 | + | 7.14679i | 0.653763 | + | 0.819793i | ||||
\(77\) | −3.89223 | − | 3.55904i | −0.443561 | − | 0.405591i | ||||
\(78\) | −0.561417 | + | 0.703995i | −0.0635680 | + | 0.0797117i | ||||
\(79\) | −4.13300 | − | 7.15857i | −0.464999 | − | 0.805402i | 0.534203 | − | 0.845357i | \(-0.320612\pi\) |
−0.999201 | + | 0.0399547i | \(0.987279\pi\) | |||||||
\(80\) | 0.0588155 | − | 0.101871i | 0.00657577 | − | 0.0113896i | ||||
\(81\) | 3.02844 | + | 7.71633i | 0.336493 | + | 0.857370i | ||||
\(82\) | 5.04524 | − | 1.55625i | 0.557154 | − | 0.171859i | ||||
\(83\) | 8.17636 | − | 3.93753i | 0.897472 | − | 0.432200i | 0.0724970 | − | 0.997369i | \(-0.476903\pi\) |
0.824975 | + | 0.565169i | \(0.191189\pi\) | |||||||
\(84\) | 0.0748902 | + | 0.910296i | 0.00817119 | + | 0.0993215i | ||||
\(85\) | 2.05235 | + | 0.988358i | 0.222608 | + | 0.107202i | ||||
\(86\) | 2.03225 | + | 0.306312i | 0.219143 | + | 0.0330305i | ||||
\(87\) | −0.479814 | + | 0.327131i | −0.0514414 | + | 0.0350722i | ||||
\(88\) | 4.15138 | + | 3.85192i | 0.442538 | + | 0.410616i | ||||
\(89\) | −14.5109 | − | 9.89337i | −1.53815 | − | 1.04870i | −0.974963 | − | 0.222369i | \(-0.928621\pi\) |
−0.563191 | − | 0.826327i | \(-0.690426\pi\) | |||||||
\(90\) | 1.16451 | + | 5.10207i | 0.122751 | + | 0.537805i | ||||
\(91\) | −2.06278 | + | 9.35113i | −0.216238 | + | 0.980265i | ||||
\(92\) | −1.44883 | + | 6.34774i | −0.151051 | + | 0.661798i | ||||
\(93\) | −1.02636 | + | 0.952322i | −0.106428 | + | 0.0987512i | ||||
\(94\) | 4.74747 | − | 0.715565i | 0.489664 | − | 0.0738049i | ||||
\(95\) | −14.5198 | − | 4.47875i | −1.48969 | − | 0.459510i | ||||
\(96\) | −0.118770 | − | 1.58487i | −0.0121219 | − | 0.161756i | ||||
\(97\) | 3.72740 | 0.378460 | 0.189230 | − | 0.981933i | \(-0.439401\pi\) | ||||
0.189230 | + | 0.981933i | \(0.439401\pi\) | |||||||
\(98\) | −3.16251 | − | 5.29783i | −0.319462 | − | 0.535161i | ||||
\(99\) | −5.82147 | −0.585080 | ||||||||
\(100\) | 0.0792035 | + | 1.05690i | 0.00792035 | + | 0.105690i | ||||
\(101\) | −3.43384 | − | 1.05920i | −0.341679 | − | 0.105394i | 0.119167 | − | 0.992874i | \(-0.461978\pi\) |
−0.460846 | + | 0.887480i | \(0.652454\pi\) | |||||||
\(102\) | −0.275632 | + | 0.0415449i | −0.0272917 | + | 0.00411355i | ||||
\(103\) | −5.42624 | + | 5.03481i | −0.534663 | + | 0.496095i | −0.900662 | − | 0.434521i | \(-0.856918\pi\) |
0.365999 | + | 0.930615i | \(0.380727\pi\) | |||||||
\(104\) | 2.28803 | − | 10.0245i | 0.224359 | − | 0.982983i | ||||
\(105\) | −0.955240 | − | 1.18009i | −0.0932219 | − | 0.115165i | ||||
\(106\) | −2.67613 | − | 11.7249i | −0.259929 | − | 1.13882i | ||||
\(107\) | −3.64697 | − | 2.48646i | −0.352566 | − | 0.240375i | 0.374066 | − | 0.927402i | \(-0.377963\pi\) |
−0.726632 | + | 0.687027i | \(0.758916\pi\) | |||||||
\(108\) | 1.49823 | + | 1.39016i | 0.144168 | + | 0.133768i | ||||
\(109\) | 3.55236 | − | 2.42196i | 0.340255 | − | 0.231982i | −0.381122 | − | 0.924525i | \(-0.624462\pi\) |
0.721376 | + | 0.692543i | \(0.243510\pi\) | |||||||
\(110\) | −3.53235 | − | 0.532416i | −0.336796 | − | 0.0507639i | ||||
\(111\) | −0.209482 | − | 0.100881i | −0.0198832 | − | 0.00957523i | ||||
\(112\) | 0.0775030 | + | 0.132009i | 0.00732334 | + | 0.0124736i | ||||
\(113\) | 11.2558 | − | 5.42048i | 1.05885 | − | 0.509916i | 0.178354 | − | 0.983966i | \(-0.442923\pi\) |
0.880498 | + | 0.474050i | \(0.157208\pi\) | |||||||
\(114\) | 1.77675 | − | 0.548055i | 0.166408 | − | 0.0513300i | ||||
\(115\) | −3.95406 | − | 10.0748i | −0.368718 | − | 0.939477i | ||||
\(116\) | 1.25822 | − | 2.17930i | 0.116823 | − | 0.202343i | ||||
\(117\) | 5.28488 | + | 9.15368i | 0.488587 | + | 0.846258i | ||||
\(118\) | −5.56010 | + | 6.97215i | −0.511849 | + | 0.641838i | ||||
\(119\) | −2.43705 | + | 1.68769i | −0.223404 | + | 0.154710i | ||||
\(120\) | 1.01644 | + | 1.27458i | 0.0927881 | + | 0.116353i | ||||
\(121\) | −2.56698 | + | 6.54055i | −0.233362 | + | 0.594596i | ||||
\(122\) | −0.588905 | + | 7.85840i | −0.0533170 | + | 0.711466i | ||||
\(123\) | −0.126348 | + | 1.68600i | −0.0113924 | + | 0.152021i | ||||
\(124\) | 2.21658 | − | 5.64775i | 0.199055 | − | 0.507183i | ||||
\(125\) | −7.43649 | − | 9.32507i | −0.665140 | − | 0.834060i | ||||
\(126\) | −6.52218 | − | 1.95991i | −0.581042 | − | 0.174602i | ||||
\(127\) | −3.46997 | + | 4.35120i | −0.307910 | + | 0.386107i | −0.911577 | − | 0.411130i | \(-0.865134\pi\) |
0.603667 | + | 0.797237i | \(0.293706\pi\) | |||||||
\(128\) | 3.39251 | + | 5.87600i | 0.299858 | + | 0.519370i | ||||
\(129\) | −0.329063 | + | 0.569955i | −0.0289724 | + | 0.0501817i | ||||
\(130\) | 2.36959 | + | 6.03761i | 0.207826 | + | 0.529533i | ||||
\(131\) | 14.2825 | − | 4.40556i | 1.24787 | − | 0.384916i | 0.400683 | − | 0.916217i | \(-0.368773\pi\) |
0.847183 | + | 0.531301i | \(0.178297\pi\) | |||||||
\(132\) | −0.620024 | + | 0.298588i | −0.0539662 | + | 0.0259887i | ||||
\(133\) | 14.3968 | − | 13.5548i | 1.24836 | − | 1.17535i | ||||
\(134\) | 9.15583 | + | 4.40922i | 0.790944 | + | 0.380898i | ||||
\(135\) | −3.35942 | − | 0.506351i | −0.289133 | − | 0.0435797i | ||||
\(136\) | 2.62995 | − | 1.79307i | 0.225516 | − | 0.153754i | ||||
\(137\) | −0.612467 | − | 0.568286i | −0.0523266 | − | 0.0485520i | 0.653576 | − | 0.756861i | \(-0.273268\pi\) |
−0.705903 | + | 0.708309i | \(0.749458\pi\) | |||||||
\(138\) | 1.09425 | + | 0.746047i | 0.0931488 | + | 0.0635078i | ||||
\(139\) | 1.31718 | + | 5.77093i | 0.111721 | + | 0.489484i | 0.999569 | + | 0.0293465i | \(0.00934262\pi\) |
−0.887848 | + | 0.460137i | \(0.847800\pi\) | |||||||
\(140\) | 5.94819 | + | 2.81130i | 0.502714 | + | 0.237598i | ||||
\(141\) | −0.342110 | + | 1.49888i | −0.0288108 | + | 0.126229i | ||||
\(142\) | 2.71846 | − | 2.52236i | 0.228128 | − | 0.211672i | ||||
\(143\) | −7.13436 | + | 1.07533i | −0.596605 | + | 0.0899237i | ||||
\(144\) | 0.161458 | + | 0.0498033i | 0.0134549 | + | 0.00415028i | ||||
\(145\) | 0.312594 | + | 4.17127i | 0.0259595 | + | 0.346405i | ||||
\(146\) | −10.3887 | −0.859778 | ||||||||
\(147\) | 1.94921 | − | 0.322909i | 0.160768 | − | 0.0266331i | ||||
\(148\) | 1.00753 | 0.0828184 | ||||||||
\(149\) | 0.681223 | + | 9.09029i | 0.0558079 | + | 0.744705i | 0.952982 | + | 0.303028i | \(0.0979974\pi\) |
−0.897174 | + | 0.441678i | \(0.854384\pi\) | |||||||
\(150\) | 0.206004 | + | 0.0635440i | 0.0168202 | + | 0.00518834i | ||||
\(151\) | 2.87758 | − | 0.433725i | 0.234174 | − | 0.0352960i | −0.0309069 | − | 0.999522i | \(-0.509840\pi\) |
0.265081 | + | 0.964226i | \(0.414601\pi\) | |||||||
\(152\) | −15.5643 | + | 14.4416i | −1.26243 | + | 1.17137i | ||||
\(153\) | −0.728094 | + | 3.18999i | −0.0588629 | + | 0.257895i | ||||
\(154\) | 2.87188 | − | 3.65554i | 0.231422 | − | 0.294572i | ||||
\(155\) | 2.24416 | + | 9.83229i | 0.180255 | + | 0.789749i | ||||
\(156\) | 1.03237 | + | 0.703860i | 0.0826560 | + | 0.0563539i | ||||
\(157\) | 3.88611 | + | 3.60578i | 0.310145 | + | 0.287773i | 0.819852 | − | 0.572576i | \(-0.194056\pi\) |
−0.509707 | + | 0.860348i | \(0.670246\pi\) | |||||||
\(158\) | 6.01985 | − | 4.10426i | 0.478913 | − | 0.326518i | ||||
\(159\) | 3.80814 | + | 0.573985i | 0.302005 | + | 0.0455199i | ||||
\(160\) | −10.3143 | − | 4.96709i | −0.815414 | − | 0.392683i | ||||
\(161\) | 13.9420 | + | 1.99764i | 1.09878 | + | 0.157436i | ||||
\(162\) | −6.58286 | + | 3.17014i | −0.517198 | + | 0.249070i | ||||
\(163\) | −4.04529 | + | 1.24781i | −0.316851 | + | 0.0977356i | −0.449102 | − | 0.893481i | \(-0.648256\pi\) |
0.132250 | + | 0.991216i | \(0.457780\pi\) | |||||||
\(164\) | −2.67665 | − | 6.81999i | −0.209011 | − | 0.532552i | ||||
\(165\) | 0.571961 | − | 0.990665i | 0.0445271 | − | 0.0771232i | ||||
\(166\) | 3.99949 | + | 6.92732i | 0.310421 | + | 0.537665i | ||||
\(167\) | 5.46726 | − | 6.85572i | 0.423069 | − | 0.530512i | −0.523924 | − | 0.851765i | \(-0.675533\pi\) |
0.946993 | + | 0.321253i | \(0.104104\pi\) | |||||||
\(168\) | −2.09546 | + | 0.331470i | −0.161668 | + | 0.0255735i | ||||
\(169\) | 0.0622382 | + | 0.0780442i | 0.00478755 | + | 0.00600340i | ||||
\(170\) | −0.733540 | + | 1.86903i | −0.0562600 | + | 0.143348i | ||||
\(171\) | 1.63105 | − | 21.7648i | 0.124729 | − | 1.66440i | ||||
\(172\) | 0.213121 | − | 2.84390i | 0.0162503 | − | 0.216845i | ||||
\(173\) | 1.39588 | − | 3.55665i | 0.106127 | − | 0.270407i | −0.867939 | − | 0.496670i | \(-0.834556\pi\) |
0.974066 | + | 0.226264i | \(0.0726511\pi\) | |||||||
\(174\) | −0.319140 | − | 0.400189i | −0.0241939 | − | 0.0303382i | ||||
\(175\) | 2.26450 | − | 0.358209i | 0.171180 | − | 0.0270781i | ||||
\(176\) | −0.0719108 | + | 0.0901733i | −0.00542048 | + | 0.00679707i | ||||
\(177\) | −1.42784 | − | 2.47308i | −0.107323 | − | 0.185888i | ||||
\(178\) | 7.74005 | − | 13.4062i | 0.580141 | − | 1.00483i | ||||
\(179\) | 2.23558 | + | 5.69617i | 0.167095 | + | 0.425752i | 0.989754 | − | 0.142784i | \(-0.0456053\pi\) |
−0.822659 | + | 0.568536i | \(0.807510\pi\) | |||||||
\(180\) | 6.93925 | − | 2.14047i | 0.517221 | − | 0.159542i | ||||
\(181\) | −20.2282 | + | 9.74138i | −1.50355 | + | 0.724071i | −0.990909 | − | 0.134533i | \(-0.957047\pi\) |
−0.512639 | + | 0.858604i | \(0.671332\pi\) | |||||||
\(182\) | −8.35513 | − | 1.19715i | −0.619324 | − | 0.0887384i | ||||
\(183\) | −2.27360 | − | 1.09491i | −0.168069 | − | 0.0809380i | ||||
\(184\) | −14.9543 | − | 2.25400i | −1.10245 | − | 0.166167i | ||||
\(185\) | −1.38376 | + | 0.943431i | −0.101736 | + | 0.0693624i | ||||
\(186\) | −0.904657 | − | 0.839399i | −0.0663327 | − | 0.0615477i | ||||
\(187\) | −1.84540 | − | 1.25817i | −0.134949 | − | 0.0920066i | ||||
\(188\) | −1.48247 | − | 6.49512i | −0.108120 | − | 0.473705i | ||||
\(189\) | 2.73128 | − | 3.47658i | 0.198671 | − | 0.252884i | ||||
\(190\) | 2.98024 | − | 13.0573i | 0.216209 | − | 0.947274i | ||||
\(191\) | −10.4264 | + | 9.67431i | −0.754429 | + | 0.700008i | −0.960423 | − | 0.278545i | \(-0.910148\pi\) |
0.205994 | + | 0.978553i | \(0.433957\pi\) | |||||||
\(192\) | 1.41751 | − | 0.213656i | 0.102300 | − | 0.0154193i | ||||
\(193\) | 6.27185 | + | 1.93461i | 0.451457 | + | 0.139256i | 0.512142 | − | 0.858901i | \(-0.328852\pi\) |
−0.0606845 | + | 0.998157i | \(0.519328\pi\) | |||||||
\(194\) | 0.245519 | + | 3.27623i | 0.0176273 | + | 0.235219i | ||||
\(195\) | −2.07696 | −0.148734 | ||||||||
\(196\) | −7.00294 | + | 4.92551i | −0.500210 | + | 0.351822i | ||||
\(197\) | 17.7880 | 1.26734 | 0.633670 | − | 0.773603i | \(-0.281548\pi\) | ||||
0.633670 | + | 0.773603i | \(0.281548\pi\) | |||||||
\(198\) | −0.383453 | − | 5.11683i | −0.0272509 | − | 0.363637i | ||||
\(199\) | −15.0295 | − | 4.63598i | −1.06541 | − | 0.328636i | −0.288002 | − | 0.957630i | \(-0.592991\pi\) |
−0.777410 | + | 0.628994i | \(0.783467\pi\) | |||||||
\(200\) | −2.43427 | + | 0.366907i | −0.172129 | + | 0.0259442i | ||||
\(201\) | −2.38549 | + | 2.21341i | −0.168259 | + | 0.156122i | ||||
\(202\) | 0.704808 | − | 3.08797i | 0.0495901 | − | 0.217269i | ||||
\(203\) | −4.92148 | − | 2.32605i | −0.345421 | − | 0.163256i | ||||
\(204\) | 0.0860704 | + | 0.377099i | 0.00602613 | + | 0.0264022i | ||||
\(205\) | 10.0623 | + | 6.86034i | 0.702779 | + | 0.479147i | ||||
\(206\) | −4.78281 | − | 4.43780i | −0.333234 | − | 0.309196i | ||||
\(207\) | 12.8447 | − | 8.75740i | 0.892771 | − | 0.608681i | ||||
\(208\) | 0.207071 | + | 0.0312109i | 0.0143578 | + | 0.00216409i | ||||
\(209\) | 13.4230 | + | 6.46416i | 0.928486 | + | 0.447135i | ||||
\(210\) | 0.974332 | − | 0.917348i | 0.0672353 | − | 0.0633030i | ||||
\(211\) | −8.40082 | + | 4.04562i | −0.578336 | + | 0.278512i | −0.700097 | − | 0.714047i | \(-0.746860\pi\) |
0.121761 | + | 0.992559i | \(0.461146\pi\) | |||||||
\(212\) | −15.9468 | + | 4.91895i | −1.09523 | + | 0.337835i | ||||
\(213\) | 0.433852 | + | 1.10544i | 0.0297270 | + | 0.0757432i | ||||
\(214\) | 1.94528 | − | 3.36932i | 0.132976 | − | 0.230322i | ||||
\(215\) | 2.37027 | + | 4.10542i | 0.161651 | + | 0.279988i | ||||
\(216\) | −2.95987 | + | 3.71155i | −0.201393 | + | 0.252539i | ||||
\(217\) | −12.5690 | − | 3.77697i | −0.853241 | − | 0.256397i | ||||
\(218\) | 2.36279 | + | 2.96285i | 0.160028 | + | 0.200669i | ||||
\(219\) | 1.21539 | − | 3.09677i | 0.0821285 | − | 0.209260i | ||||
\(220\) | −0.370435 | + | 4.94311i | −0.0249747 | + | 0.333264i | ||||
\(221\) | −0.303049 | + | 4.04390i | −0.0203853 | + | 0.272022i | ||||
\(222\) | 0.0748722 | − | 0.190771i | 0.00502509 | − | 0.0128037i | ||||
\(223\) | −3.60573 | − | 4.52144i | −0.241457 | − | 0.302778i | 0.646306 | − | 0.763079i | \(-0.276313\pi\) |
−0.887763 | + | 0.460301i | \(0.847742\pi\) | |||||||
\(224\) | 12.2476 | − | 8.48166i | 0.818329 | − | 0.566705i | ||||
\(225\) | 1.57780 | − | 1.97849i | 0.105186 | − | 0.131900i | ||||
\(226\) | 5.50579 | + | 9.53630i | 0.366239 | + | 0.634345i | ||||
\(227\) | −6.63933 | + | 11.4997i | −0.440668 | + | 0.763259i | −0.997739 | − | 0.0672056i | \(-0.978592\pi\) |
0.557071 | + | 0.830465i | \(0.311925\pi\) | |||||||
\(228\) | −0.942618 | − | 2.40175i | −0.0624264 | − | 0.159060i | ||||
\(229\) | −20.4642 | + | 6.31236i | −1.35231 | + | 0.417132i | −0.884436 | − | 0.466662i | \(-0.845456\pi\) |
−0.467875 | + | 0.883795i | \(0.654980\pi\) | |||||||
\(230\) | 8.59486 | − | 4.13906i | 0.566728 | − | 0.272922i | ||||
\(231\) | 0.753690 | + | 1.28374i | 0.0495892 | + | 0.0844639i | ||||
\(232\) | 5.26617 | + | 2.53605i | 0.345741 | + | 0.166500i | ||||
\(233\) | 23.6339 | + | 3.56224i | 1.54831 | + | 0.233370i | 0.866881 | − | 0.498514i | \(-0.166121\pi\) |
0.681429 | + | 0.731885i | \(0.261359\pi\) | |||||||
\(234\) | −7.69760 | + | 5.24813i | −0.503208 | + | 0.343081i | ||||
\(235\) | 8.11796 | + | 7.53237i | 0.529557 | + | 0.491357i | ||||
\(236\) | 10.2243 | + | 6.97081i | 0.665546 | + | 0.453761i | ||||
\(237\) | 0.519165 | + | 2.27461i | 0.0337234 | + | 0.147752i | ||||
\(238\) | −1.64394 | − | 2.03090i | −0.106561 | − | 0.131644i | ||||
\(239\) | −2.60391 | + | 11.4085i | −0.168433 | + | 0.737954i | 0.818192 | + | 0.574946i | \(0.194977\pi\) |
−0.986625 | + | 0.163008i | \(0.947880\pi\) | |||||||
\(240\) | −0.0243386 | + | 0.0225829i | −0.00157105 | + | 0.00145772i | ||||
\(241\) | 12.7510 | − | 1.92191i | 0.821366 | − | 0.123801i | 0.275103 | − | 0.961415i | \(-0.411288\pi\) |
0.546263 | + | 0.837614i | \(0.316050\pi\) | |||||||
\(242\) | −5.91796 | − | 1.82545i | −0.380421 | − | 0.117344i | ||||
\(243\) | −0.549475 | − | 7.33224i | −0.0352489 | − | 0.470363i | ||||
\(244\) | 10.9352 | 0.700051 | ||||||||
\(245\) | 5.00582 | − | 13.3222i | 0.319810 | − | 0.851125i | ||||
\(246\) | −1.49024 | −0.0950145 | ||||||||
\(247\) | −2.02147 | − | 26.9746i | −0.128623 | − | 1.71635i | ||||
\(248\) | 13.4662 | + | 4.15379i | 0.855107 | + | 0.263766i | ||||
\(249\) | −2.53286 | + | 0.381768i | −0.160514 | + | 0.0241935i | ||||
\(250\) | 7.70652 | − | 7.15060i | 0.487403 | − | 0.452244i | ||||
\(251\) | −2.83406 | + | 12.4168i | −0.178884 | + | 0.783744i | 0.803262 | + | 0.595626i | \(0.203096\pi\) |
−0.982146 | + | 0.188118i | \(0.939761\pi\) | |||||||
\(252\) | −2.03569 | + | 9.22834i | −0.128236 | + | 0.581331i | ||||
\(253\) | 2.36134 | + | 10.3457i | 0.148456 | + | 0.650429i | ||||
\(254\) | −4.05309 | − | 2.76335i | −0.254314 | − | 0.173388i | ||||
\(255\) | −0.471319 | − | 0.437320i | −0.0295151 | − | 0.0273860i | ||||
\(256\) | −13.3340 | + | 9.09096i | −0.833375 | + | 0.568185i | ||||
\(257\) | −15.8576 | − | 2.39015i | −0.989172 | − | 0.149094i | −0.365526 | − | 0.930801i | \(-0.619111\pi\) |
−0.623645 | + | 0.781707i | \(0.714349\pi\) | |||||||
\(258\) | −0.522642 | − | 0.251691i | −0.0325382 | − | 0.0156696i | ||||
\(259\) | −0.178700 | − | 2.17211i | −0.0111039 | − | 0.134969i | ||||
\(260\) | 8.10884 | − | 3.90501i | 0.502889 | − | 0.242179i | ||||
\(261\) | −5.74148 | + | 1.77101i | −0.355389 | + | 0.109623i | ||||
\(262\) | 4.81308 | + | 12.2635i | 0.297353 | + | 0.757643i | ||||
\(263\) | 3.50137 | − | 6.06455i | 0.215904 | − | 0.373956i | −0.737648 | − | 0.675185i | \(-0.764064\pi\) |
0.953552 | + | 0.301229i | \(0.0973970\pi\) | |||||||
\(264\) | −0.799221 | − | 1.38429i | −0.0491886 | − | 0.0851972i | ||||
\(265\) | 17.2957 | − | 21.6881i | 1.06247 | − | 1.33229i | ||||
\(266\) | 12.8624 | + | 11.7613i | 0.788643 | + | 0.721133i | ||||
\(267\) | 3.09071 | + | 3.87562i | 0.189148 | + | 0.237184i | ||||
\(268\) | 5.15183 | − | 13.1266i | 0.314698 | − | 0.801838i | ||||
\(269\) | −1.42342 | + | 18.9942i | −0.0867874 | + | 1.15810i | 0.768467 | + | 0.639890i | \(0.221020\pi\) |
−0.855254 | + | 0.518208i | \(0.826599\pi\) | |||||||
\(270\) | 0.223780 | − | 2.98614i | 0.0136188 | − | 0.181731i | ||||
\(271\) | 3.40664 | − | 8.67999i | 0.206939 | − | 0.527272i | −0.789291 | − | 0.614019i | \(-0.789552\pi\) |
0.996230 | + | 0.0867470i | \(0.0276472\pi\) | |||||||
\(272\) | 0.0404183 | + | 0.0506830i | 0.00245072 | + | 0.00307311i | ||||
\(273\) | 1.33433 | − | 2.35051i | 0.0807575 | − | 0.142260i | ||||
\(274\) | 0.459158 | − | 0.575765i | 0.0277387 | − | 0.0347833i | ||||
\(275\) | 0.863693 | + | 1.49596i | 0.0520826 | + | 0.0902098i | ||||
\(276\) | 0.918874 | − | 1.59154i | 0.0553097 | − | 0.0957993i | ||||
\(277\) | −2.82229 | − | 7.19108i | −0.169575 | − | 0.432070i | 0.820671 | − | 0.571401i | \(-0.193600\pi\) |
−0.990246 | + | 0.139331i | \(0.955505\pi\) | |||||||
\(278\) | −4.98565 | + | 1.53787i | −0.299019 | + | 0.0922352i | ||||
\(279\) | −13.0517 | + | 6.28537i | −0.781386 | + | 0.376296i | ||||
\(280\) | −5.47914 | + | 14.2654i | −0.327441 | + | 0.852518i | ||||
\(281\) | −26.3988 | − | 12.7130i | −1.57482 | − | 0.758394i | −0.576544 | − | 0.817066i | \(-0.695599\pi\) |
−0.998277 | + | 0.0586722i | \(0.981313\pi\) | |||||||
\(282\) | −1.33999 | − | 0.201971i | −0.0797952 | − | 0.0120272i | ||||
\(283\) | −3.34674 | + | 2.28177i | −0.198943 | + | 0.135637i | −0.658694 | − | 0.752411i | \(-0.728891\pi\) |
0.459751 | + | 0.888048i | \(0.347939\pi\) | |||||||
\(284\) | −3.77223 | − | 3.50011i | −0.223840 | − | 0.207694i | ||||
\(285\) | 3.54356 | + | 2.41596i | 0.209903 | + | 0.143109i | ||||
\(286\) | −1.41510 | − | 6.19998i | −0.0836769 | − | 0.366612i | ||||
\(287\) | −14.2283 | + | 6.98016i | −0.839873 | + | 0.412026i | ||||
\(288\) | 3.65911 | − | 16.0316i | 0.215615 | − | 0.944671i | ||||
\(289\) | 11.5416 | − | 10.7091i | 0.678920 | − | 0.629946i | ||||
\(290\) | −3.64579 | + | 0.549514i | −0.214088 | + | 0.0322686i | ||||
\(291\) | −1.00533 | − | 0.310103i | −0.0589335 | − | 0.0181786i | ||||
\(292\) | 1.07729 | + | 14.3755i | 0.0630437 | + | 0.841260i | ||||
\(293\) | −6.82335 | −0.398624 | −0.199312 | − | 0.979936i | \(-0.563871\pi\) | ||||
−0.199312 | + | 0.979936i | \(0.563871\pi\) | |||||||
\(294\) | 0.412216 | + | 1.69200i | 0.0240409 | + | 0.0986797i | ||||
\(295\) | −20.5696 | −1.19761 | ||||||||
\(296\) | 0.174884 | + | 2.33367i | 0.0101650 | + | 0.135642i | ||||
\(297\) | 3.18309 | + | 0.981854i | 0.184702 | + | 0.0569730i | ||||
\(298\) | −7.94511 | + | 1.19753i | −0.460248 | + | 0.0693712i | ||||
\(299\) | 14.1239 | − | 13.1051i | 0.816807 | − | 0.757886i | ||||
\(300\) | 0.0665669 | − | 0.291649i | 0.00384324 | − | 0.0168384i | ||||
\(301\) | −6.16890 | + | 0.0449441i | −0.355570 | + | 0.00259053i | ||||
\(302\) | 0.570769 | + | 2.50070i | 0.0328440 | + | 0.143899i | ||||
\(303\) | 0.838032 | + | 0.571360i | 0.0481437 | + | 0.0328238i | ||||
\(304\) | −0.316984 | − | 0.294119i | −0.0181803 | − | 0.0168689i | ||||
\(305\) | −15.0185 | + | 10.2395i | −0.859959 | + | 0.586310i | ||||
\(306\) | −2.85183 | − | 0.429844i | −0.163028 | − | 0.0245725i | ||||
\(307\) | 24.0748 | + | 11.5938i | 1.37402 | + | 0.661694i | 0.967716 | − | 0.252043i | \(-0.0811024\pi\) |
0.406306 | + | 0.913737i | \(0.366817\pi\) | |||||||
\(308\) | −5.35617 | − | 3.59490i | −0.305196 | − | 0.204838i | ||||
\(309\) | 1.88240 | − | 0.906518i | 0.107086 | − | 0.0515700i | ||||
\(310\) | −8.49436 | + | 2.62016i | −0.482447 | + | 0.148815i | ||||
\(311\) | −1.49322 | − | 3.80465i | −0.0846725 | − | 0.215742i | 0.882266 | − | 0.470751i | \(-0.156017\pi\) |
−0.966939 | + | 0.255009i | \(0.917922\pi\) | |||||||
\(312\) | −1.45111 | + | 2.51339i | −0.0821527 | + | 0.142293i | ||||
\(313\) | −13.7747 | − | 23.8585i | −0.778593 | − | 1.34856i | −0.932752 | − | 0.360517i | \(-0.882600\pi\) |
0.154159 | − | 0.988046i | \(-0.450733\pi\) | |||||||
\(314\) | −2.91336 | + | 3.65324i | −0.164410 | + | 0.206164i | ||||
\(315\) | −5.84539 | − | 14.5805i | −0.329350 | − | 0.821521i | ||||
\(316\) | −6.30354 | − | 7.90438i | −0.354602 | − | 0.444656i | ||||
\(317\) | 2.31786 | − | 5.90580i | 0.130184 | − | 0.331703i | −0.850888 | − | 0.525347i | \(-0.823935\pi\) |
0.981072 | + | 0.193644i | \(0.0620307\pi\) | |||||||
\(318\) | −0.253671 | + | 3.38500i | −0.0142252 | + | 0.189822i | ||||
\(319\) | 0.306495 | − | 4.08989i | 0.0171604 | − | 0.228990i | ||||
\(320\) | 3.77243 | − | 9.61199i | 0.210885 | − | 0.537327i | ||||
\(321\) | 0.776775 | + | 0.974045i | 0.0433554 | + | 0.0543659i | ||||
\(322\) | −0.837505 | + | 12.3860i | −0.0466723 | + | 0.690244i | ||||
\(323\) | 5.22098 | − | 6.54690i | 0.290503 | − | 0.364279i | ||||
\(324\) | 5.06932 | + | 8.78032i | 0.281629 | + | 0.487795i | ||||
\(325\) | 1.56817 | − | 2.71614i | 0.0869862 | − | 0.150664i | ||||
\(326\) | −1.36323 | − | 3.47345i | −0.0755022 | − | 0.192376i | ||||
\(327\) | −1.15962 | + | 0.357694i | −0.0641270 | + | 0.0197806i | ||||
\(328\) | 15.3321 | − | 7.38354i | 0.846572 | − | 0.407688i | ||||
\(329\) | −13.7398 | + | 4.34803i | −0.757498 | + | 0.239715i | ||||
\(330\) | 0.908428 | + | 0.437476i | 0.0500073 | + | 0.0240823i | ||||
\(331\) | 5.92680 | + | 0.893321i | 0.325766 | + | 0.0491014i | 0.309890 | − | 0.950773i | \(-0.399708\pi\) |
0.0158769 | + | 0.999874i | \(0.494946\pi\) | |||||||
\(332\) | 9.17097 | − | 6.25266i | 0.503322 | − | 0.343159i | ||||
\(333\) | −1.76346 | − | 1.63625i | −0.0966369 | − | 0.0896660i | ||||
\(334\) | 6.38602 | + | 4.35391i | 0.349427 | + | 0.238236i | ||||
\(335\) | 5.21592 | + | 22.8525i | 0.284976 | + | 1.24856i | ||||
\(336\) | −0.00992107 | − | 0.0420524i | −0.000541239 | − | 0.00229415i | ||||
\(337\) | −1.51230 | + | 6.62581i | −0.0823801 | + | 0.360931i | −0.999270 | − | 0.0382101i | \(-0.987834\pi\) |
0.916890 | + | 0.399141i | \(0.130692\pi\) | |||||||
\(338\) | −0.0644981 | + | 0.0598455i | −0.00350823 | + | 0.00325517i | ||||
\(339\) | −3.48679 | + | 0.525549i | −0.189376 | + | 0.0285439i | ||||
\(340\) | 2.66234 | + | 0.821224i | 0.144386 | + | 0.0445371i | ||||
\(341\) | −0.738960 | − | 9.86074i | −0.0400169 | − | 0.533989i | ||||
\(342\) | 19.2378 | 1.04026 | ||||||||
\(343\) | 11.8609 | + | 14.2239i | 0.640428 | + | 0.768019i | ||||
\(344\) | 6.62411 | 0.357148 | ||||||||
\(345\) | 0.228286 | + | 3.04626i | 0.0122905 | + | 0.164005i | ||||
\(346\) | 3.21809 | + | 0.992649i | 0.173006 | + | 0.0533652i | ||||
\(347\) | 13.2639 | − | 1.99922i | 0.712045 | − | 0.107324i | 0.216976 | − | 0.976177i | \(-0.430381\pi\) |
0.495069 | + | 0.868853i | \(0.335143\pi\) | |||||||
\(348\) | −0.520668 | + | 0.483110i | −0.0279107 | + | 0.0258974i | ||||
\(349\) | −1.84229 | + | 8.07162i | −0.0986157 | + | 0.432064i | −1.00000 | 0.000957302i | \(-0.999695\pi\) | |
0.901384 | + | 0.433021i | \(0.142552\pi\) | |||||||
\(350\) | 0.464011 | + | 1.96680i | 0.0248024 | + | 0.105130i | ||||
\(351\) | −1.34583 | − | 5.89645i | −0.0718349 | − | 0.314729i | ||||
\(352\) | 9.27422 | + | 6.32306i | 0.494318 | + | 0.337020i | ||||
\(353\) | −2.87036 | − | 2.66330i | −0.152774 | − | 0.141753i | 0.600083 | − | 0.799938i | \(-0.295134\pi\) |
−0.752857 | + | 0.658185i | \(0.771325\pi\) | |||||||
\(354\) | 2.07969 | − | 1.41791i | 0.110534 | − | 0.0753609i | ||||
\(355\) | 8.45829 | + | 1.27488i | 0.448919 | + | 0.0676637i | ||||
\(356\) | −19.3534 | − | 9.32013i | −1.02573 | − | 0.493966i | ||||
\(357\) | 0.797715 | − | 0.252441i | 0.0422195 | − | 0.0133606i | ||||
\(358\) | −4.85945 | + | 2.34019i | −0.256830 | + | 0.123683i | ||||
\(359\) | 28.8513 | − | 8.89945i | 1.52271 | − | 0.469695i | 0.583235 | − | 0.812303i | \(-0.301787\pi\) |
0.939478 | + | 0.342608i | \(0.111310\pi\) | |||||||
\(360\) | 6.16233 | + | 15.7014i | 0.324783 | + | 0.827534i | ||||
\(361\) | −18.4285 | + | 31.9190i | −0.969919 | + | 1.67995i | ||||
\(362\) | −9.89467 | − | 17.1381i | −0.520053 | − | 0.900757i | ||||
\(363\) | 1.23649 | − | 1.55052i | 0.0648991 | − | 0.0813809i | ||||
\(364\) | −0.790146 | + | 11.6856i | −0.0414149 | + | 0.612491i | ||||
\(365\) | −14.9405 | − | 18.7348i | −0.782020 | − | 0.980623i | ||||
\(366\) | 0.812620 | − | 2.07052i | 0.0424763 | − | 0.108228i | ||||
\(367\) | 1.44656 | − | 19.3031i | 0.0755100 | − | 1.00761i | −0.822823 | − | 0.568297i | \(-0.807602\pi\) |
0.898333 | − | 0.439314i | \(-0.144779\pi\) | |||||||
\(368\) | 0.0230169 | − | 0.307140i | 0.00119984 | − | 0.0160108i | ||||
\(369\) | −6.39094 | + | 16.2838i | −0.332699 | + | 0.847703i | ||||
\(370\) | −0.920384 | − | 1.15412i | −0.0478485 | − | 0.0600001i | ||||
\(371\) | 13.4331 | + | 33.5071i | 0.697411 | + | 1.73960i | ||||
\(372\) | −1.06771 | + | 1.33887i | −0.0553582 | + | 0.0694170i | ||||
\(373\) | −8.10061 | − | 14.0307i | −0.419434 | − | 0.726481i | 0.576449 | − | 0.817133i | \(-0.304438\pi\) |
−0.995883 | + | 0.0906525i | \(0.971105\pi\) | |||||||
\(374\) | 0.984326 | − | 1.70490i | 0.0508983 | − | 0.0881584i | ||||
\(375\) | 1.22992 | + | 3.13378i | 0.0635128 | + | 0.161828i | ||||
\(376\) | 14.7869 | − | 4.56115i | 0.762575 | − | 0.235223i | ||||
\(377\) | −6.70919 | + | 3.23098i | −0.345541 | + | 0.166404i | ||||
\(378\) | 3.23567 | + | 2.17168i | 0.166425 | + | 0.111699i | ||||
\(379\) | 1.58848 | + | 0.764970i | 0.0815946 | + | 0.0392939i | 0.474236 | − | 0.880398i | \(-0.342724\pi\) |
−0.392641 | + | 0.919692i | \(0.628439\pi\) | |||||||
\(380\) | −18.3771 | − | 2.76990i | −0.942725 | − | 0.142093i | ||||
\(381\) | 1.29790 | − | 0.884893i | 0.0664934 | − | 0.0453344i | ||||
\(382\) | −9.19009 | − | 8.52716i | −0.470206 | − | 0.436287i | ||||
\(383\) | 10.3539 | + | 7.05918i | 0.529060 | + | 0.360707i | 0.798199 | − | 0.602394i | \(-0.205786\pi\) |
−0.269138 | + | 0.963102i | \(0.586739\pi\) | |||||||
\(384\) | −0.426149 | − | 1.86708i | −0.0217468 | − | 0.0952790i | ||||
\(385\) | 10.7225 | − | 0.0781194i | 0.546467 | − | 0.00398134i | ||||
\(386\) | −1.28732 | + | 5.64013i | −0.0655230 | + | 0.287075i | ||||
\(387\) | −4.99157 | + | 4.63150i | −0.253736 | + | 0.235433i | ||||
\(388\) | 4.50803 | − | 0.679477i | 0.228861 | − | 0.0344952i | ||||
\(389\) | 16.8248 | + | 5.18977i | 0.853053 | + | 0.263132i | 0.690290 | − | 0.723533i | \(-0.257483\pi\) |
0.162763 | + | 0.986665i | \(0.447959\pi\) | |||||||
\(390\) | −0.136807 | − | 1.82556i | −0.00692750 | − | 0.0924411i | ||||
\(391\) | 5.96447 | 0.301636 | ||||||||
\(392\) | −12.6242 | − | 15.3655i | −0.637617 | − | 0.776074i | ||||
\(393\) | −4.21871 | −0.212806 | ||||||||
\(394\) | 1.17167 | + | 15.6349i | 0.0590281 | + | 0.787675i | ||||
\(395\) | 16.0589 | + | 4.95352i | 0.808011 | + | 0.249239i | ||||
\(396\) | −7.04067 | + | 1.06121i | −0.353807 | + | 0.0533278i | ||||
\(397\) | 4.19877 | − | 3.89589i | 0.210730 | − | 0.195529i | −0.567745 | − | 0.823204i | \(-0.692184\pi\) |
0.778475 | + | 0.627676i | \(0.215994\pi\) | |||||||
\(398\) | 3.08486 | − | 13.5157i | 0.154630 | − | 0.677479i | ||||
\(399\) | −5.01070 | + | 2.45816i | −0.250849 | + | 0.123062i | ||||
\(400\) | −0.0111564 | − | 0.0488795i | −0.000557821 | − | 0.00244397i | ||||
\(401\) | 3.22300 | + | 2.19741i | 0.160949 | + | 0.109733i | 0.641116 | − | 0.767444i | \(-0.278472\pi\) |
−0.480167 | + | 0.877177i | \(0.659424\pi\) | |||||||
\(402\) | −2.10263 | − | 1.95095i | −0.104869 | − | 0.0973046i | ||||
\(403\) | −14.8342 | + | 10.1138i | −0.738943 | + | 0.503803i | ||||
\(404\) | −4.34607 | − | 0.655065i | −0.216225 | − | 0.0325907i | ||||
\(405\) | −15.1840 | − | 7.31224i | −0.754500 | − | 0.363348i | ||||
\(406\) | 1.72033 | − | 4.47900i | 0.0853783 | − | 0.222289i | ||||
\(407\) | 1.47948 | − | 0.712479i | 0.0733350 | − | 0.0353163i | ||||
\(408\) | −0.858508 | + | 0.264815i | −0.0425025 | + | 0.0131103i | ||||
\(409\) | 8.42068 | + | 21.4555i | 0.416376 | + | 1.06091i | 0.973135 | + | 0.230235i | \(0.0739494\pi\) |
−0.556759 | + | 0.830674i | \(0.687955\pi\) | |||||||
\(410\) | −5.36717 | + | 9.29620i | −0.265065 | + | 0.459107i | ||||
\(411\) | 0.117912 | + | 0.204229i | 0.00581616 | + | 0.0100739i | ||||
\(412\) | −5.64485 | + | 7.07842i | −0.278102 | + | 0.348729i | ||||
\(413\) | 13.2148 | − | 23.2788i | 0.650259 | − | 1.14547i | ||||
\(414\) | 8.54346 | + | 10.7132i | 0.419888 | + | 0.526523i | ||||
\(415\) | −6.74071 | + | 17.1750i | −0.330888 | + | 0.843090i | ||||
\(416\) | 1.52300 | − | 20.3230i | 0.0746712 | − | 0.996418i | ||||
\(417\) | 0.124856 | − | 1.66608i | 0.00611420 | − | 0.0815884i | ||||
\(418\) | −4.79758 | + | 12.2240i | −0.234657 | + | 0.597896i | ||||
\(419\) | −1.69685 | − | 2.12778i | −0.0828965 | − | 0.103949i | 0.738654 | − | 0.674085i | \(-0.235462\pi\) |
−0.821550 | + | 0.570136i | \(0.806890\pi\) | |||||||
\(420\) | −1.37042 | − | 1.25311i | −0.0668696 | − | 0.0611454i | ||||
\(421\) | 3.17877 | − | 3.98606i | 0.154924 | − | 0.194269i | −0.698312 | − | 0.715793i | \(-0.746065\pi\) |
0.853236 | + | 0.521525i | \(0.174637\pi\) | |||||||
\(422\) | −4.10929 | − | 7.11749i | −0.200037 | − | 0.346474i | ||||
\(423\) | −7.95349 | + | 13.7758i | −0.386712 | + | 0.669805i | ||||
\(424\) | −14.1614 | − | 36.0828i | −0.687740 | − | 1.75233i | ||||
\(425\) | 0.927763 | − | 0.286177i | 0.0450031 | − | 0.0138816i | ||||
\(426\) | −0.943055 | + | 0.454152i | −0.0456912 | + | 0.0220037i | ||||
\(427\) | −1.93951 | − | 23.5749i | −0.0938595 | − | 1.14087i | ||||
\(428\) | −4.86403 | − | 2.34239i | −0.235112 | − | 0.113224i | ||||
\(429\) | 2.01370 | + | 0.303516i | 0.0972222 | + | 0.0146539i | ||||
\(430\) | −3.45237 | + | 2.35379i | −0.166488 | + | 0.113510i | ||||
\(431\) | −10.7225 | − | 9.94903i | −0.516485 | − | 0.479228i | 0.378326 | − | 0.925672i | \(-0.376500\pi\) |
−0.894812 | + | 0.446444i | \(0.852690\pi\) | |||||||
\(432\) | −0.0798832 | − | 0.0544635i | −0.00384338 | − | 0.00262037i | ||||
\(433\) | −3.42780 | − | 15.0182i | −0.164729 | − | 0.721727i | −0.988048 | − | 0.154147i | \(-0.950737\pi\) |
0.823319 | − | 0.567580i | \(-0.192120\pi\) | |||||||
\(434\) | 2.49189 | − | 11.2964i | 0.119615 | − | 0.542246i | ||||
\(435\) | 0.262721 | − | 1.15106i | 0.0125965 | − | 0.0551889i | ||||
\(436\) | 3.85483 | − | 3.57676i | 0.184613 | − | 0.171296i | ||||
\(437\) | −39.3412 | + | 5.92974i | −1.88195 | + | 0.283658i | ||||
\(438\) | 2.80199 | + | 0.864298i | 0.133884 | + | 0.0412978i | ||||
\(439\) | 0.321848 | + | 4.29476i | 0.0153609 | + | 0.204978i | 0.999604 | + | 0.0281544i | \(0.00896302\pi\) |
−0.984243 | + | 0.176823i | \(0.943418\pi\) | |||||||
\(440\) | −11.5137 | −0.548893 | ||||||||
\(441\) | 20.2563 | + | 2.75192i | 0.964584 | + | 0.131044i | ||||
\(442\) | −3.57439 | −0.170016 | ||||||||
\(443\) | −0.174580 | − | 2.32961i | −0.00829454 | − | 0.110683i | 0.991520 | − | 0.129956i | \(-0.0414837\pi\) |
−0.999814 | + | 0.0192735i | \(0.993865\pi\) | |||||||
\(444\) | −0.271744 | − | 0.0838221i | −0.0128964 | − | 0.00397802i | ||||
\(445\) | 35.3076 | − | 5.32176i | 1.67374 | − | 0.252276i | ||||
\(446\) | 3.73665 | − | 3.46711i | 0.176936 | − | 0.164172i | ||||
\(447\) | 0.572537 | − | 2.50845i | 0.0270801 | − | 0.118646i | ||||
\(448\) | 8.45439 | + | 10.4445i | 0.399432 | + | 0.493454i | ||||
\(449\) | −3.93304 | − | 17.2318i | −0.185612 | − | 0.813219i | −0.978895 | − | 0.204365i | \(-0.934487\pi\) |
0.793283 | − | 0.608853i | \(-0.208370\pi\) | |||||||
\(450\) | 1.84294 | + | 1.25650i | 0.0868771 | + | 0.0592318i | ||||
\(451\) | −8.75323 | − | 8.12181i | −0.412174 | − | 0.382441i | ||||
\(452\) | 12.6250 | − | 8.60755i | 0.593828 | − | 0.404865i | ||||
\(453\) | −0.812205 | − | 0.122420i | −0.0381607 | − | 0.00575181i | ||||
\(454\) | −10.5450 | − | 5.07823i | −0.494904 | − | 0.238333i | ||||
\(455\) | −9.85696 | − | 16.7891i | −0.462102 | − | 0.787084i | ||||
\(456\) | 5.39939 | − | 2.60021i | 0.252850 | − | 0.121766i | ||||
\(457\) | 1.20613 | − | 0.372040i | 0.0564202 | − | 0.0174033i | −0.266417 | − | 0.963858i | \(-0.585840\pi\) |
0.322837 | + | 0.946455i | \(0.395364\pi\) | |||||||
\(458\) | −6.89625 | − | 17.5714i | −0.322241 | − | 0.821056i | ||||
\(459\) | 0.936137 | − | 1.62144i | 0.0436951 | − | 0.0756822i | ||||
\(460\) | −6.61872 | − | 11.4640i | −0.308599 | − | 0.534509i | ||||
\(461\) | −5.47928 | + | 6.87080i | −0.255195 | + | 0.320005i | −0.892882 | − | 0.450291i | \(-0.851320\pi\) |
0.637686 | + | 0.770296i | \(0.279892\pi\) | |||||||
\(462\) | −1.07871 | + | 0.747021i | −0.0501861 | + | 0.0347546i | ||||
\(463\) | 22.6266 | + | 28.3729i | 1.05155 | + | 1.31860i | 0.945994 | + | 0.324185i | \(0.105090\pi\) |
0.105553 | + | 0.994414i | \(0.466339\pi\) | |||||||
\(464\) | −0.0434902 | + | 0.110811i | −0.00201898 | + | 0.00514428i | ||||
\(465\) | 0.212724 | − | 2.83861i | 0.00986485 | − | 0.131637i | ||||
\(466\) | −1.57432 | + | 21.0079i | −0.0729291 | + | 0.973172i | ||||
\(467\) | −10.8812 | + | 27.7249i | −0.503522 | + | 1.28295i | 0.422800 | + | 0.906223i | \(0.361047\pi\) |
−0.926323 | + | 0.376731i | \(0.877048\pi\) | |||||||
\(468\) | 8.06035 | + | 10.1074i | 0.372590 | + | 0.467213i | ||||
\(469\) | −29.2132 | − | 8.77853i | −1.34894 | − | 0.405355i | ||||
\(470\) | −6.08592 | + | 7.63150i | −0.280722 | + | 0.352015i | ||||
\(471\) | −0.748151 | − | 1.29584i | −0.0344730 | − | 0.0597089i | ||||
\(472\) | −14.3713 | + | 24.8918i | −0.661493 | + | 1.14574i | ||||
\(473\) | −1.69812 | − | 4.32675i | −0.0780798 | − | 0.198944i | ||||
\(474\) | −1.96509 | + | 0.606151i | −0.0902597 | + | 0.0278414i | ||||
\(475\) | −5.83495 | + | 2.80997i | −0.267726 | + | 0.128930i | ||||
\(476\) | −2.63979 | + | 2.48540i | −0.120995 | + | 0.113918i | ||||
\(477\) | 35.8999 | + | 17.2885i | 1.64375 | + | 0.791586i | ||||
\(478\) | −10.1991 | − | 1.53727i | −0.466496 | − | 0.0703130i | ||||
\(479\) | 30.8915 | − | 21.0614i | 1.41147 | − | 0.962322i | 0.412794 | − | 0.910824i | \(-0.364553\pi\) |
0.998673 | − | 0.0514977i | \(-0.0163995\pi\) | |||||||
\(480\) | 2.36866 | + | 2.19779i | 0.108114 | + | 0.100315i | ||||
\(481\) | −2.46341 | − | 1.67952i | −0.112322 | − | 0.0765797i | ||||
\(482\) | 2.52917 | + | 11.0810i | 0.115201 | + | 0.504727i | ||||
\(483\) | −3.59414 | − | 1.69870i | −0.163539 | − | 0.0772936i | ||||
\(484\) | −1.91229 | + | 8.37829i | −0.0869223 | + | 0.380832i | ||||
\(485\) | −5.55517 | + | 5.15444i | −0.252247 | + | 0.234051i | ||||
\(486\) | 6.40854 | − | 0.965932i | 0.290697 | − | 0.0438156i | ||||
\(487\) | 31.9034 | + | 9.84090i | 1.44568 | + | 0.445934i | 0.915627 | − | 0.402029i | \(-0.131695\pi\) |
0.530055 | + | 0.847963i | \(0.322171\pi\) | |||||||
\(488\) | 1.89810 | + | 25.3283i | 0.0859228 | + | 1.14656i | ||||
\(489\) | 1.19488 | 0.0540344 | ||||||||
\(490\) | 12.0394 | + | 3.52239i | 0.543885 | + | 0.159125i | ||||
\(491\) | −1.56442 | −0.0706015 | −0.0353007 | − | 0.999377i | \(-0.511239\pi\) | ||||
−0.0353007 | + | 0.999377i | \(0.511239\pi\) | |||||||
\(492\) | 0.154535 | + | 2.06213i | 0.00696699 | + | 0.0929680i | ||||
\(493\) | −2.20280 | − | 0.679475i | −0.0992093 | − | 0.0306020i | ||||
\(494\) | 23.5764 | − | 3.55357i | 1.06075 | − | 0.159883i | ||||
\(495\) | 8.67609 | − | 8.05024i | 0.389961 | − | 0.361831i | ||||
\(496\) | −0.0638647 | + | 0.279810i | −0.00286761 | + | 0.0125638i | ||||
\(497\) | −6.87677 | + | 8.75327i | −0.308465 | + | 0.392638i | ||||
\(498\) | −0.502395 | − | 2.20113i | −0.0225128 | − | 0.0986352i | ||||
\(499\) | −26.8259 | − | 18.2896i | −1.20089 | − | 0.818753i | −0.213483 | − | 0.976947i | \(-0.568481\pi\) |
−0.987408 | + | 0.158193i | \(0.949433\pi\) | |||||||
\(500\) | −10.6938 | − | 9.92242i | −0.478242 | − | 0.443744i | ||||
\(501\) | −2.04496 | + | 1.39423i | −0.0913621 | + | 0.0622896i | ||||
\(502\) | −11.1006 | − | 1.67314i | −0.495442 | − | 0.0746759i | ||||
\(503\) | 23.6844 | + | 11.4058i | 1.05604 | + | 0.508561i | 0.879582 | − | 0.475748i | \(-0.157823\pi\) |
0.176455 | + | 0.984309i | \(0.443537\pi\) | |||||||
\(504\) | −21.7283 | − | 3.11329i | −0.967856 | − | 0.138677i | ||||
\(505\) | 6.58237 | − | 3.16990i | 0.292912 | − | 0.141059i | ||||
\(506\) | −8.93791 | + | 2.75698i | −0.397339 | + | 0.122563i | ||||
\(507\) | −0.0102936 | − | 0.0262275i | −0.000457153 | − | 0.00116481i | ||||
\(508\) | −3.40350 | + | 5.89503i | −0.151006 | + | 0.261550i | ||||
\(509\) | 9.44590 | + | 16.3608i | 0.418682 | + | 0.725179i | 0.995807 | − | 0.0914771i | \(-0.0291588\pi\) |
−0.577125 | + | 0.816656i | \(0.695826\pi\) | |||||||
\(510\) | 0.353341 | − | 0.443076i | 0.0156462 | − | 0.0196197i | ||||
\(511\) | 30.8007 | − | 4.87221i | 1.36254 | − | 0.215534i | ||||
\(512\) | −0.408092 | − | 0.511731i | −0.0180353 | − | 0.0226155i | ||||
\(513\) | −4.56270 | + | 11.6256i | −0.201448 | + | 0.513282i | ||||
\(514\) | 1.05632 | − | 14.0956i | 0.0465924 | − | 0.621732i | ||||
\(515\) | 1.12465 | − | 15.0074i | 0.0495579 | − | 0.661304i | ||||
\(516\) | −0.294081 | + | 0.749307i | −0.0129462 | + | 0.0329864i | ||||
\(517\) | −6.76994 | − | 8.48924i | −0.297742 | − | 0.373356i | ||||
\(518\) | 1.89743 | − | 0.300145i | 0.0833682 | − | 0.0131876i | ||||
\(519\) | −0.672386 | + | 0.843145i | −0.0295145 | + | 0.0370100i | ||||
\(520\) | 10.4524 | + | 18.1041i | 0.458369 | + | 0.793918i | ||||
\(521\) | 7.75661 | − | 13.4348i | 0.339823 | − | 0.588591i | −0.644576 | − | 0.764540i | \(-0.722966\pi\) |
0.984399 | + | 0.175949i | \(0.0562994\pi\) | |||||||
\(522\) | −1.93483 | − | 4.92987i | −0.0846853 | − | 0.215775i | ||||
\(523\) | −34.6951 | + | 10.7020i | −1.51711 | + | 0.467967i | −0.937811 | − | 0.347146i | \(-0.887151\pi\) |
−0.579301 | + | 0.815113i | \(0.696675\pi\) | |||||||
\(524\) | 16.4706 | − | 7.93182i | 0.719521 | − | 0.346503i | ||||
\(525\) | −0.640567 | − | 0.0917822i | −0.0279566 | − | 0.00400570i | ||||
\(526\) | 5.56112 | + | 2.67809i | 0.242476 | + | 0.116770i | ||||
\(527\) | −5.49581 | − | 0.828360i | −0.239401 | − | 0.0360839i | ||||
\(528\) | 0.0268974 | − | 0.0183383i | 0.00117056 | − | 0.000798073i | ||||
\(529\) | −3.91331 | − | 3.63102i | −0.170144 | − | 0.157870i | ||||
\(530\) | 20.2022 | + | 13.7736i | 0.877527 | + | 0.598288i | ||||
\(531\) | −6.57464 | − | 28.8054i | −0.285315 | − | 1.25005i | ||||
\(532\) | 14.9410 | − | 19.0180i | 0.647773 | − | 0.824534i | ||||
\(533\) | −4.82433 | + | 21.1368i | −0.208965 | + | 0.915536i | ||||
\(534\) | −3.20293 | + | 2.97189i | −0.138604 | + | 0.128606i | ||||
\(535\) | 8.87372 | − | 1.33750i | 0.383644 | − | 0.0578251i | ||||
\(536\) | 31.2986 | + | 9.65434i | 1.35189 | + | 0.417004i | ||||
\(537\) | −0.129071 | − | 1.72233i | −0.00556981 | − | 0.0743239i | ||||
\(538\) | −16.7889 | −0.723821 | ||||||||
\(539\) | −6.80018 | + | 12.1849i | −0.292904 | + | 0.524840i | ||||
\(540\) | −4.15529 | −0.178815 | ||||||||
\(541\) | 1.71802 | + | 22.9253i | 0.0738633 | + | 0.985637i | 0.903849 | + | 0.427852i | \(0.140730\pi\) |
−0.829985 | + | 0.557785i | \(0.811651\pi\) | |||||||
\(542\) | 7.85374 | + | 2.42256i | 0.337347 | + | 0.104058i | ||||
\(543\) | 6.26626 | − | 0.944486i | 0.268911 | − | 0.0405318i | ||||
\(544\) | 4.62477 | − | 4.29116i | 0.198286 | − | 0.183982i | ||||
\(545\) | −1.94509 | + | 8.52199i | −0.0833184 | + | 0.365042i | ||||
\(546\) | 2.15390 | + | 1.01800i | 0.0921783 | + | 0.0435663i | ||||
\(547\) | −0.402078 | − | 1.76162i | −0.0171916 | − | 0.0753213i | 0.965604 | − | 0.260016i | \(-0.0837277\pi\) |
−0.982796 | + | 0.184694i | \(0.940871\pi\) | |||||||
\(548\) | −0.844331 | − | 0.575655i | −0.0360680 | − | 0.0245908i | ||||
\(549\) | −19.1396 | − | 17.7589i | −0.816858 | − | 0.757933i | ||||
\(550\) | −1.25800 | + | 0.857688i | −0.0536412 | + | 0.0365719i | ||||
\(551\) | 15.2051 | + | 2.29180i | 0.647758 | + | 0.0976338i | ||||
\(552\) | 3.84586 | + | 1.85207i | 0.163691 | + | 0.0788293i | ||||
\(553\) | −15.9229 | + | 14.9916i | −0.677110 | + | 0.637509i | ||||
\(554\) | 6.13476 | − | 2.95435i | 0.260641 | − | 0.125518i | ||||
\(555\) | 0.451708 | − | 0.139334i | 0.0191739 | − | 0.00591438i | ||||
\(556\) | 2.64503 | + | 6.73943i | 0.112174 | + | 0.285816i | ||||
\(557\) | −0.0865296 | + | 0.149874i | −0.00366638 | + | 0.00635035i | −0.867853 | − | 0.496821i | \(-0.834500\pi\) |
0.864186 | + | 0.503172i | \(0.167834\pi\) | |||||||
\(558\) | −6.38429 | − | 11.0579i | −0.270268 | − | 0.468119i | ||||
\(559\) | −5.26178 | + | 6.59806i | −0.222549 | + | 0.279068i | ||||
\(560\) | −0.298056 | − | 0.0895653i | −0.0125952 | − | 0.00378482i | ||||
\(561\) | 0.393055 | + | 0.492875i | 0.0165948 | + | 0.0208092i | ||||
\(562\) | 9.43534 | − | 24.0409i | 0.398006 | − | 1.01410i | ||||
\(563\) | −0.508314 | + | 6.78298i | −0.0214229 | + | 0.285869i | 0.976195 | + | 0.216893i | \(0.0695922\pi\) |
−0.997618 | + | 0.0689759i | \(0.978027\pi\) | |||||||
\(564\) | −0.140524 | + | 1.87516i | −0.00591711 | + | 0.0789584i | ||||
\(565\) | −9.27940 | + | 23.6435i | −0.390387 | + | 0.994691i | ||||
\(566\) | −2.22602 | − | 2.79134i | −0.0935667 | − | 0.117329i | ||||
\(567\) | 18.0302 | − | 12.4862i | 0.757197 | − | 0.524370i | ||||
\(568\) | 7.45230 | − | 9.34489i | 0.312692 | − | 0.392103i | ||||
\(569\) | −15.8713 | − | 27.4899i | −0.665358 | − | 1.15243i | −0.979188 | − | 0.202955i | \(-0.934945\pi\) |
0.313830 | − | 0.949479i | \(-0.398388\pi\) | |||||||
\(570\) | −1.89012 | + | 3.27378i | −0.0791684 | + | 0.137124i | ||||
\(571\) | −13.0140 | − | 33.1590i | −0.544617 | − | 1.38766i | −0.892892 | − | 0.450270i | \(-0.851328\pi\) |
0.348275 | − | 0.937392i | \(-0.386768\pi\) | |||||||
\(572\) | −8.43250 | + | 2.60108i | −0.352580 | + | 0.108757i | ||||
\(573\) | 3.61701 | − | 1.74186i | 0.151103 | − | 0.0727672i | ||||
\(574\) | −7.07248 | − | 12.0464i | −0.295200 | − | 0.502805i | ||||
\(575\) | −4.15610 | − | 2.00147i | −0.173322 | − | 0.0834672i | ||||
\(576\) | 14.6663 | + | 2.21059i | 0.611095 | + | 0.0921078i | ||||
\(577\) | −0.103690 | + | 0.0706949i | −0.00431669 | + | 0.00294307i | −0.565476 | − | 0.824764i | \(-0.691308\pi\) |
0.561160 | + | 0.827707i | \(0.310355\pi\) | |||||||
\(578\) | 10.1731 | + | 9.43923i | 0.423144 | + | 0.392620i | ||||
\(579\) | −1.53065 | − | 1.04358i | −0.0636117 | − | 0.0433697i | ||||
\(580\) | 1.13845 | + | 4.98789i | 0.0472717 | + | 0.207111i | ||||
\(581\) | −15.1066 | − | 18.6625i | −0.626728 | − | 0.774252i | ||||
\(582\) | 0.206348 | − | 0.904070i | 0.00855340 | − | 0.0374749i | ||||
\(583\) | −19.9382 | + | 18.5000i | −0.825757 | + | 0.766190i | ||||
\(584\) | −33.1099 | + | 4.99051i | −1.37010 | + | 0.206509i | ||||
\(585\) | −20.5346 | − | 6.33408i | −0.849000 | − | 0.261882i | ||||
\(586\) | −0.449446 | − | 5.99744i | −0.0185664 | − | 0.247752i | ||||
\(587\) | −21.6190 | −0.892311 | −0.446155 | − | 0.894956i | \(-0.647207\pi\) | ||||
−0.446155 | + | 0.894956i | \(0.647207\pi\) | |||||||
\(588\) | 2.29857 | − | 0.745862i | 0.0947915 | − | 0.0307588i | ||||
\(589\) | 37.0735 | 1.52759 | ||||||||
\(590\) | −1.35490 | − | 18.0798i | −0.0557802 | − | 0.744335i | ||||
\(591\) | −4.79766 | − | 1.47988i | −0.197349 | − | 0.0608742i | ||||
\(592\) | −0.0471286 | + | 0.00710350i | −0.00193698 | + | 0.000291952i | ||||
\(593\) | 30.7265 | − | 28.5101i | 1.26179 | − | 1.17077i | 0.284540 | − | 0.958664i | \(-0.408159\pi\) |
0.977247 | − | 0.212103i | \(-0.0680313\pi\) | |||||||
\(594\) | −0.653343 | + | 2.86248i | −0.0268070 | + | 0.117449i | ||||
\(595\) | 1.29826 | − | 5.88535i | 0.0532233 | − | 0.241276i | ||||
\(596\) | 2.48098 | + | 10.8699i | 0.101625 | + | 0.445248i | ||||
\(597\) | 3.66796 | + | 2.50078i | 0.150120 | + | 0.102350i | ||||
\(598\) | 12.4491 | + | 11.5511i | 0.509083 | + | 0.472360i | ||||
\(599\) | −7.57891 | + | 5.16722i | −0.309666 | + | 0.211127i | −0.708174 | − | 0.706038i | \(-0.750481\pi\) |
0.398508 | + | 0.917165i | \(0.369528\pi\) | |||||||
\(600\) | 0.687081 | + | 0.103561i | 0.0280499 | + | 0.00422785i | ||||
\(601\) | −17.0184 | − | 8.19563i | −0.694195 | − | 0.334307i | 0.0532960 | − | 0.998579i | \(-0.483027\pi\) |
−0.747491 | + | 0.664272i | \(0.768742\pi\) | |||||||
\(602\) | −0.445843 | − | 5.41925i | −0.0181712 | − | 0.220872i | ||||
\(603\) | −30.3351 | + | 14.6086i | −1.23534 | + | 0.594909i | ||||
\(604\) | 3.40117 | − | 1.04912i | 0.138392 | − | 0.0426881i | ||||
\(605\) | −5.21890 | − | 13.2975i | −0.212178 | − | 0.540622i | ||||
\(606\) | −0.447002 | + | 0.774230i | −0.0181582 | + | 0.0314509i | ||||
\(607\) | −10.8325 | − | 18.7625i | −0.439678 | − | 0.761545i | 0.557986 | − | 0.829850i | \(-0.311574\pi\) |
−0.997664 | + | 0.0683051i | \(0.978241\pi\) | |||||||
\(608\) | −26.2385 | + | 32.9021i | −1.06411 | + | 1.33436i | ||||
\(609\) | 1.13387 | + | 1.03681i | 0.0459469 | + | 0.0420138i | ||||
\(610\) | −9.98933 | − | 12.5262i | −0.404456 | − | 0.507172i | ||||
\(611\) | −7.20255 | + | 18.3518i | −0.291384 | + | 0.742435i | ||||
\(612\) | −0.299069 | + | 3.99080i | −0.0120892 | + | 0.161318i | ||||
\(613\) | 1.85572 | − | 24.7628i | 0.0749517 | − | 1.00016i | −0.825273 | − | 0.564735i | \(-0.808979\pi\) |
0.900224 | − | 0.435426i | \(-0.143402\pi\) | |||||||
\(614\) | −8.60471 | + | 21.9244i | −0.347258 | + | 0.884798i | ||||
\(615\) | −2.14318 | − | 2.68746i | −0.0864214 | − | 0.108369i | ||||
\(616\) | 7.39690 | − | 13.0301i | 0.298030 | − | 0.524999i | ||||
\(617\) | −18.7007 | + | 23.4499i | −0.752862 | + | 0.944059i | −0.999687 | − | 0.0250006i | \(-0.992041\pi\) |
0.246825 | + | 0.969060i | \(0.420613\pi\) | |||||||
\(618\) | 0.920784 | + | 1.59484i | 0.0370394 | + | 0.0641540i | ||||
\(619\) | −10.7544 | + | 18.6272i | −0.432256 | + | 0.748690i | −0.997067 | − | 0.0765305i | \(-0.975616\pi\) |
0.564811 | + | 0.825220i | \(0.308949\pi\) | |||||||
\(620\) | 4.50651 | + | 11.4824i | 0.180986 | + | 0.461144i | ||||
\(621\) | −8.50035 | + | 2.62201i | −0.341107 | + | 0.105218i | ||||
\(622\) | 3.24577 | − | 1.56308i | 0.130144 | − | 0.0626739i | ||||
\(623\) | −16.6605 | + | 43.3768i | −0.667488 | + | 1.73785i | ||||
\(624\) | −0.0532533 | − | 0.0256454i | −0.00213184 | − | 0.00102664i | ||||
\(625\) | 19.6940 | + | 2.96839i | 0.787758 | + | 0.118735i | ||||
\(626\) | 20.0633 | − | 13.6789i | 0.801892 | − | 0.546721i | ||||
\(627\) | −3.08257 | − | 2.86021i | −0.123106 | − | 0.114226i | ||||
\(628\) | 5.35729 | + | 3.65254i | 0.213779 | + | 0.145752i | ||||
\(629\) | −0.205378 | − | 0.899818i | −0.00818894 | − | 0.0358781i | ||||
\(630\) | 12.4307 | − | 6.09826i | 0.495250 | − | 0.242960i | ||||
\(631\) | 8.96758 | − | 39.2895i | 0.356994 | − | 1.56409i | −0.403644 | − | 0.914916i | \(-0.632257\pi\) |
0.760638 | − | 0.649176i | \(-0.224886\pi\) | |||||||
\(632\) | 17.2142 | − | 15.9725i | 0.684745 | − | 0.635351i | ||||
\(633\) | 2.60239 | − | 0.392248i | 0.103436 | − | 0.0155904i | ||||
\(634\) | 5.34363 | + | 1.64829i | 0.212223 | + | 0.0654621i | ||||
\(635\) | −0.845568 | − | 11.2833i | −0.0335553 | − | 0.447765i | ||||
\(636\) | 4.71032 | 0.186776 | ||||||||
\(637\) | 25.3329 | − | 0.369150i | 1.00373 | − | 0.0146262i | ||||
\(638\) | 3.61504 | 0.143121 | ||||||||
\(639\) | 0.918188 | + | 12.2524i | 0.0363229 | + | 0.484696i | ||||
\(640\) | −13.1817 | − | 4.06602i | −0.521053 | − | 0.160724i | ||||
\(641\) | −15.7961 | + | 2.38088i | −0.623908 | + | 0.0940389i | −0.453385 | − | 0.891315i | \(-0.649784\pi\) |
−0.170523 | + | 0.985354i | \(0.554546\pi\) | |||||||
\(642\) | −0.804980 | + | 0.746912i | −0.0317700 | + | 0.0294783i | ||||
\(643\) | 5.04636 | − | 22.1096i | 0.199009 | − | 0.871916i | −0.772519 | − | 0.634992i | \(-0.781004\pi\) |
0.971528 | − | 0.236924i | \(-0.0761393\pi\) | |||||||
\(644\) | 17.2260 | − | 0.125502i | 0.678799 | − | 0.00494545i | ||||
\(645\) | −0.297740 | − | 1.30448i | −0.0117235 | − | 0.0513640i | ||||
\(646\) | 6.09836 | + | 4.15779i | 0.239937 | + | 0.163586i | ||||
\(647\) | 26.0305 | + | 24.1528i | 1.02336 | + | 0.949543i | 0.998742 | − | 0.0501534i | \(-0.0159710\pi\) |
0.0246228 | + | 0.999697i | \(0.492162\pi\) | |||||||
\(648\) | −19.4573 | + | 13.2658i | −0.764356 | + | 0.521129i | ||||
\(649\) | 19.9430 | + | 3.00593i | 0.782832 | + | 0.117993i | ||||
\(650\) | 2.49067 | + | 1.19944i | 0.0976921 | + | 0.0470460i | ||||
\(651\) | 3.07581 | + | 2.06439i | 0.120551 | + | 0.0809098i | ||||
\(652\) | −4.66503 | + | 2.24656i | −0.182697 | + | 0.0879821i | ||||
\(653\) | 10.1546 | − | 3.13229i | 0.397382 | − | 0.122576i | −0.0896221 | − | 0.995976i | \(-0.528566\pi\) |
0.487004 | + | 0.873400i | \(0.338090\pi\) | |||||||
\(654\) | −0.390781 | − | 0.995695i | −0.0152808 | − | 0.0389347i | ||||
\(655\) | −15.1938 | + | 26.3165i | −0.593671 | + | 1.02827i | ||||
\(656\) | 0.173288 | + | 0.300144i | 0.00676576 | + | 0.0117186i | ||||
\(657\) | 21.4605 | − | 26.9106i | 0.837254 | − | 1.04988i | ||||
\(658\) | −4.72676 | − | 11.7903i | −0.184268 | − | 0.459634i | ||||
\(659\) | −18.0931 | − | 22.6881i | −0.704808 | − | 0.883802i | 0.292564 | − | 0.956246i | \(-0.405492\pi\) |
−0.997372 | + | 0.0724441i | \(0.976920\pi\) | |||||||
\(660\) | 0.511157 | − | 1.30241i | 0.0198967 | − | 0.0506961i | ||||
\(661\) | 0.606333 | − | 8.09095i | 0.0235836 | − | 0.314701i | −0.972919 | − | 0.231145i | \(-0.925753\pi\) |
0.996503 | − | 0.0835568i | \(-0.0266280\pi\) | |||||||
\(662\) | −0.394801 | + | 5.26825i | −0.0153444 | + | 0.204757i | ||||
\(663\) | 0.418172 | − | 1.06548i | 0.0162404 | − | 0.0413800i | ||||
\(664\) | 16.0745 | + | 20.1568i | 0.623811 | + | 0.782234i | ||||
\(665\) | −2.71213 | + | 40.1101i | −0.105172 | + | 1.55540i | ||||
\(666\) | 1.32204 | − | 1.65779i | 0.0512280 | − | 0.0642379i | ||||
\(667\) | 5.47628 | + | 9.48519i | 0.212042 | + | 0.367268i | ||||
\(668\) | 5.36253 | − | 9.28817i | 0.207482 | − | 0.359370i | ||||
\(669\) | 0.596350 | + | 1.51947i | 0.0230562 | + | 0.0587463i | ||||
\(670\) | −19.7428 | + | 6.08985i | −0.762731 | + | 0.235271i | ||||
\(671\) | 16.0574 | − | 7.73284i | 0.619889 | − | 0.298523i | ||||
\(672\) | −4.00899 | + | 1.26867i | −0.154650 | + | 0.0489400i | ||||
\(673\) | −12.9761 | − | 6.24897i | −0.500193 | − | 0.240880i | 0.166736 | − | 0.986002i | \(-0.446677\pi\) |
−0.666929 | + | 0.745121i | \(0.732392\pi\) | |||||||
\(674\) | −5.92342 | − | 0.892812i | −0.228162 | − | 0.0343898i | ||||
\(675\) | −1.19641 | + | 0.815699i | −0.0460498 | + | 0.0313963i | ||||
\(676\) | 0.0894998 | + | 0.0830436i | 0.00344230 | + | 0.00319399i | ||||
\(677\) | 17.9144 | + | 12.2139i | 0.688508 | + | 0.469417i | 0.856349 | − | 0.516397i | \(-0.172727\pi\) |
−0.167841 | + | 0.985814i | \(0.553680\pi\) | |||||||
\(678\) | −0.691607 | − | 3.03013i | −0.0265610 | − | 0.116371i | ||||
\(679\) | −2.26444 | − | 9.59827i | −0.0869011 | − | 0.368348i | ||||
\(680\) | −1.44002 | + | 6.30915i | −0.0552223 | + | 0.241945i | ||||
\(681\) | 2.74744 | − | 2.54925i | 0.105282 | − | 0.0976875i | ||||
\(682\) | 8.61851 | − | 1.29903i | 0.330020 | − | 0.0497425i | ||||
\(683\) | −4.64443 | − | 1.43262i | −0.177714 | − | 0.0548176i | 0.204621 | − | 0.978841i | \(-0.434404\pi\) |
−0.382335 | + | 0.924024i | \(0.624880\pi\) | |||||||
\(684\) | −1.99492 | − | 26.6204i | −0.0762777 | − | 1.01786i | ||||
\(685\) | 1.69865 | 0.0649022 | ||||||||
\(686\) | −11.7210 | + | 11.3621i | −0.447508 | + | 0.433809i | ||||
\(687\) | 6.04463 | 0.230617 | ||||||||
\(688\) | 0.0100816 | + | 0.134530i | 0.000384358 | + | 0.00512891i | ||||
\(689\) | 47.1898 | + | 14.5561i | 1.79779 | + | 0.554544i | ||||
\(690\) | −2.66250 | + | 0.401308i | −0.101360 | + | 0.0152775i | ||||
\(691\) | 23.9530 | − | 22.2251i | 0.911215 | − | 0.845484i | −0.0772383 | − | 0.997013i | \(-0.524610\pi\) |
0.988453 | + | 0.151529i | \(0.0484197\pi\) | |||||||
\(692\) | 1.03987 | − | 4.55598i | 0.0395300 | − | 0.173192i | ||||
\(693\) | 3.53661 | + | 14.9906i | 0.134345 | + | 0.569447i | ||||
\(694\) | 2.63091 | + | 11.5268i | 0.0998679 | + | 0.437550i | ||||
\(695\) | −9.94341 | − | 6.77930i | −0.377175 | − | 0.257154i | ||||
\(696\) | −1.20937 | − | 1.12213i | −0.0458410 | − | 0.0425343i | ||||
\(697\) | −5.54528 | + | 3.78071i | −0.210042 | + | 0.143204i | ||||
\(698\) | −7.21597 | − | 1.08763i | −0.273128 | − | 0.0411675i | ||||
\(699\) | −6.07803 | − | 2.92702i | −0.229892 | − | 0.110710i | ||||
\(700\) | 2.67345 | − | 0.846030i | 0.101047 | − | 0.0319769i | ||||
\(701\) | 17.6281 | − | 8.48923i | 0.665803 | − | 0.320634i | −0.0702781 | − | 0.997527i | \(-0.522389\pi\) |
0.736081 | + | 0.676894i | \(0.236674\pi\) | |||||||
\(702\) | 5.09409 | − | 1.57132i | 0.192264 | − | 0.0593056i | ||||
\(703\) | 2.24924 | + | 5.73096i | 0.0848316 | + | 0.216147i | ||||
\(704\) | −5.06216 | + | 8.76792i | −0.190787 | + | 0.330453i | ||||
\(705\) | −1.56286 | − | 2.70696i | −0.0588609 | − | 0.101950i | ||||
\(706\) | 2.15186 | − | 2.69835i | 0.0809865 | − | 0.101554i | ||||
\(707\) | −0.641403 | + | 9.48580i | −0.0241224 | + | 0.356750i | ||||
\(708\) | −2.17769 | − | 2.73074i | −0.0818428 | − | 0.102628i | ||||
\(709\) | −12.3708 | + | 31.5204i | −0.464597 | + | 1.18377i | 0.486170 | + | 0.873864i | \(0.338394\pi\) |
−0.950766 | + | 0.309908i | \(0.899702\pi\) | |||||||
\(710\) | −0.563431 | + | 7.51846i | −0.0211452 | + | 0.282163i | ||||
\(711\) | −1.80395 | + | 24.0720i | −0.0676532 | + | 0.902770i | ||||
\(712\) | 18.2282 | − | 46.4448i | 0.683133 | − | 1.74059i | ||||
\(713\) | 16.4643 | + | 20.6455i | 0.616591 | + | 0.773181i | ||||
\(714\) | 0.274430 | + | 0.684530i | 0.0102703 | + | 0.0256179i | ||||
\(715\) | 9.14575 | − | 11.4684i | 0.342031 | − | 0.428894i | ||||
\(716\) | 3.74216 | + | 6.48160i | 0.139851 | + | 0.242229i | ||||
\(717\) | 1.65145 | − | 2.86039i | 0.0616745 | − | 0.106823i | ||||
\(718\) | 9.72265 | + | 24.7729i | 0.362846 | + | 0.924517i | ||||
\(719\) | −12.9175 | + | 3.98453i | −0.481742 | + | 0.148598i | −0.526108 | − | 0.850418i | \(-0.676349\pi\) |
0.0443663 | + | 0.999015i | \(0.485873\pi\) | |||||||
\(720\) | −0.309502 | + | 0.149048i | −0.0115345 | + | 0.00555471i | ||||
\(721\) | 16.2614 | + | 10.9142i | 0.605608 | + | 0.406465i | ||||
\(722\) | −29.2694 | − | 14.0954i | −1.08929 | − | 0.524576i | ||||
\(723\) | −3.59902 | − | 0.542465i | −0.133849 | − | 0.0201745i | ||||
\(724\) | −22.6888 | + | 15.4690i | −0.843223 | + | 0.574900i | ||||
\(725\) | 1.30693 | + | 1.21265i | 0.0485381 | + | 0.0450368i | ||||
\(726\) | 1.44429 | + | 0.984697i | 0.0536025 | + | 0.0365455i | ||||
\(727\) | 4.10803 | + | 17.9985i | 0.152358 | + | 0.667526i | 0.992196 | + | 0.124688i | \(0.0397931\pi\) |
−0.839837 | + | 0.542838i | \(0.817350\pi\) | |||||||
\(728\) | −27.2037 | + | 0.198195i | −1.00824 | + | 0.00734559i | ||||
\(729\) | 5.07185 | − | 22.2212i | 0.187846 | − | 0.823008i | ||||
\(730\) | 15.4830 | − | 14.3661i | 0.573051 | − | 0.531713i | ||||
\(731\) | −2.58331 | + | 0.389371i | −0.0955472 | + | 0.0144014i | ||||
\(732\) | −2.94936 | − | 0.909757i | −0.109011 | − | 0.0336256i | ||||
\(733\) | 1.06286 | + | 14.1828i | 0.0392575 | + | 0.523855i | 0.981819 | + | 0.189821i | \(0.0607908\pi\) |
−0.942561 | + | 0.334033i | \(0.891590\pi\) | |||||||
\(734\) | 17.0619 | 0.629765 | ||||||||
\(735\) | −2.45849 | + | 3.17672i | −0.0906827 | + | 0.117175i | ||||
\(736\) | −29.9750 | −1.10489 | ||||||||
\(737\) | −1.71751 | − | 22.9186i | −0.0632653 | − | 0.844217i | ||||
\(738\) | −14.7338 | − | 4.54477i | −0.542358 | − | 0.167295i | ||||
\(739\) | −22.1816 | + | 3.34334i | −0.815964 | + | 0.122987i | −0.543747 | − | 0.839249i | \(-0.682995\pi\) |
−0.272217 | + | 0.962236i | \(0.587757\pi\) | |||||||
\(740\) | −1.50158 | + | 1.39326i | −0.0551993 | + | 0.0512174i | ||||
\(741\) | −1.69895 | + | 7.44360i | −0.0624126 | + | 0.273447i | ||||
\(742\) | −28.5665 | + | 14.0142i | −1.04871 | + | 0.514477i | ||||
\(743\) | −1.99719 | − | 8.75028i | −0.0732700 | − | 0.321017i | 0.924989 | − | 0.379993i | \(-0.124074\pi\) |
−0.998259 | + | 0.0589761i | \(0.981216\pi\) | |||||||
\(744\) | −3.28645 | − | 2.24067i | −0.120487 | − | 0.0821468i | ||||
\(745\) | −13.5858 | − | 12.6058i | −0.497745 | − | 0.461840i | ||||
\(746\) | 11.7988 | − | 8.04429i | 0.431985 | − | 0.294522i | ||||
\(747\) | −26.2062 | − | 3.94996i | −0.958836 | − | 0.144521i | ||||
\(748\) | −2.46124 | − | 1.18527i | −0.0899918 | − | 0.0433378i | ||||
\(749\) | −4.18721 | + | 10.9017i | −0.152997 | + | 0.398340i | ||||
\(750\) | −2.67345 | + | 1.28747i | −0.0976207 | + | 0.0470116i | ||||
\(751\) | 21.4956 | − | 6.63051i | 0.784386 | − | 0.241951i | 0.123407 | − | 0.992356i | \(-0.460618\pi\) |
0.660978 | + | 0.750405i | \(0.270142\pi\) | |||||||
\(752\) | 0.115138 | + | 0.293367i | 0.00419865 | + | 0.0106980i | ||||
\(753\) | 1.79741 | − | 3.11321i | 0.0655013 | − | 0.113452i | ||||
\(754\) | −3.28182 | − | 5.68428i | −0.119517 | − | 0.207009i | ||||
\(755\) | −3.68885 | + | 4.62567i | −0.134251 | + | 0.168345i | ||||
\(756\) | 2.66954 | − | 4.70258i | 0.0970904 | − | 0.171031i | ||||
\(757\) | 1.47107 | + | 1.84466i | 0.0534669 | + | 0.0670454i | 0.807846 | − | 0.589394i | \(-0.200633\pi\) |
−0.754379 | + | 0.656439i | \(0.772062\pi\) | |||||||
\(758\) | −0.567746 | + | 1.44659i | −0.0206215 | + | 0.0525426i | ||||
\(759\) | 0.223832 | − | 2.98683i | 0.00812459 | − | 0.108415i | ||||
\(760\) | 3.22588 | − | 43.0464i | 0.117015 | − | 1.56146i | ||||
\(761\) | 5.12400 | − | 13.0557i | 0.185745 | − | 0.473270i | −0.807422 | − | 0.589975i | \(-0.799138\pi\) |
0.993167 | + | 0.116704i | \(0.0372330\pi\) | |||||||
\(762\) | 0.863275 | + | 1.08251i | 0.0312732 | + | 0.0392153i | ||||
\(763\) | −8.39479 | − | 7.67617i | −0.303912 | − | 0.277896i | ||||
\(764\) | −10.8465 | + | 13.6011i | −0.392412 | + | 0.492070i | ||||
\(765\) | −3.32616 | − | 5.76108i | −0.120258 | − | 0.208292i | ||||
\(766\) | −5.52273 | + | 9.56565i | −0.199544 | + | 0.345621i | ||||
\(767\) | −13.3783 | − | 34.0873i | −0.483061 | − | 1.23082i | ||||
\(768\) | 4.35269 | − | 1.34263i | 0.157064 | − | 0.0484479i | ||||
\(769\) | 17.5379 | − | 8.44581i | 0.632433 | − | 0.304564i | −0.0900657 | − | 0.995936i | \(-0.528708\pi\) |
0.722499 | + | 0.691372i | \(0.242993\pi\) | |||||||
\(770\) | 0.774940 | + | 9.41946i | 0.0279269 | + | 0.339454i | ||||
\(771\) | 4.07817 | + | 1.96394i | 0.146872 | + | 0.0707297i | ||||
\(772\) | 7.93804 | + | 1.19647i | 0.285696 | + | 0.0430618i | ||||
\(773\) | 7.04361 | − | 4.80225i | 0.253341 | − | 0.172725i | −0.429990 | − | 0.902834i | \(-0.641483\pi\) |
0.683331 | + | 0.730109i | \(0.260531\pi\) | |||||||
\(774\) | −4.39969 | − | 4.08232i | −0.158144 | − | 0.146736i | ||||
\(775\) | 3.55157 | + | 2.42142i | 0.127576 | + | 0.0869799i | ||||
\(776\) | 2.35632 | + | 10.3237i | 0.0845869 | + | 0.370599i | ||||
\(777\) | −0.132513 | + | 0.600716i | −0.00475386 | + | 0.0215506i | ||||
\(778\) | −3.45337 | + | 15.1302i | −0.123809 | + | 0.542443i | ||||
\(779\) | 32.8176 | − | 30.4503i | 1.17581 | − | 1.09099i | ||||
\(780\) | −2.51195 | + | 0.378615i | −0.0899421 | + | 0.0135566i | ||||
\(781\) | −8.01434 | − | 2.47210i | −0.286776 | − | 0.0884585i | ||||
\(782\) | 0.392873 | + | 5.24252i | 0.0140491 | + | 0.187472i | ||||
\(783\) | 3.43806 | 0.122866 | ||||||||
\(784\) | 0.292846 | − | 0.279771i | 0.0104588 | − | 0.00999184i | ||||
\(785\) | −10.7780 | −0.384682 | ||||||||
\(786\) | −0.277881 | − | 3.70807i | −0.00991170 | − | 0.132262i | ||||
\(787\) | −7.77607 | − | 2.39860i | −0.277187 | − | 0.0855009i | 0.153045 | − | 0.988219i | \(-0.451092\pi\) |
−0.430232 | + | 0.902718i | \(0.641568\pi\) | |||||||
\(788\) | 21.5133 | − | 3.24262i | 0.766381 | − | 0.115513i | ||||
\(789\) | −1.44891 | + | 1.34439i | −0.0515826 | + | 0.0478616i | ||||
\(790\) | −3.29616 | + | 14.4414i | −0.117272 | + | 0.513802i | ||||
\(791\) | −20.7961 | − | 25.6912i | −0.739423 | − | 0.913475i | ||||
\(792\) | −3.68011 | − | 16.1236i | −0.130767 | − | 0.572928i | ||||
\(793\) | −26.7364 | − | 18.2286i | −0.949439 | − | 0.647317i | ||||
\(794\) | 3.70089 | + | 3.43392i | 0.131340 | + | 0.121865i | ||||
\(795\) | −6.46924 | + | 4.41065i | −0.229440 | + | 0.156430i | ||||
\(796\) | −19.0222 | − | 2.86714i | −0.674225 | − | 0.101623i | ||||
\(797\) | 20.7141 | + | 9.97537i | 0.733730 | + | 0.353346i | 0.763150 | − | 0.646221i | \(-0.223652\pi\) |
−0.0294198 | + | 0.999567i | \(0.509366\pi\) | |||||||
\(798\) | −2.49067 | − | 4.24228i | −0.0881687 | − | 0.150175i | ||||
\(799\) | −5.49856 | + | 2.64797i | −0.194525 | + | 0.0936784i | ||||
\(800\) | −4.66256 | + | 1.43821i | −0.164846 | + | 0.0508484i | ||||
\(801\) | 18.7379 | + | 47.7433i | 0.662070 | + | 1.68693i | ||||
\(802\) | −1.71913 | + | 2.97763i | −0.0607047 | + | 0.105144i | ||||
\(803\) | 11.7476 | + | 20.3474i | 0.414563 | + | 0.718045i | ||||
\(804\) | −2.48160 | + | 3.11183i | −0.0875192 | + | 0.109746i | ||||
\(805\) | −23.5410 | + | 16.3025i | −0.829711 | + | 0.574586i | ||||
\(806\) | −9.86670 | − | 12.3725i | −0.347540 | − | 0.435801i | ||||
\(807\) | 1.96415 | − | 5.00458i | 0.0691414 | − | 0.176169i | ||||
\(808\) | 0.762902 | − | 10.1802i | 0.0268388 | − | 0.358139i | ||||
\(809\) | −1.29728 | + | 17.3110i | −0.0456099 | + | 0.608622i | 0.926832 | + | 0.375476i | \(0.122521\pi\) |
−0.972442 | + | 0.233146i | \(0.925098\pi\) | |||||||
\(810\) | 5.42700 | − | 13.8278i | 0.190685 | − | 0.485859i | ||||
\(811\) | −8.15099 | − | 10.2210i | −0.286220 | − | 0.358909i | 0.617848 | − | 0.786298i | \(-0.288005\pi\) |
−0.904068 | + | 0.427389i | \(0.859433\pi\) | |||||||
\(812\) | −6.37622 | − | 1.91604i | −0.223762 | − | 0.0672399i | ||||
\(813\) | −1.64096 | + | 2.05769i | −0.0575508 | + | 0.0721665i | ||||
\(814\) | 0.723691 | + | 1.25347i | 0.0253653 | + | 0.0439341i | ||||
\(815\) | 4.30340 | − | 7.45372i | 0.150742 | − | 0.261092i | ||||
\(816\) | −0.00668477 | − | 0.0170325i | −0.000234014 | − | 0.000596257i | ||||
\(817\) | 16.6522 | − | 5.13654i | 0.582588 | − | 0.179705i | ||||
\(818\) | −18.3039 | + | 8.81468i | −0.639980 | + | 0.308198i | ||||
\(819\) | 20.3606 | − | 19.1698i | 0.711458 | − | 0.669849i | ||||
\(820\) | 13.4202 | + | 6.46284i | 0.468654 | + | 0.225692i | ||||
\(821\) | −10.1999 | − | 1.53739i | −0.355979 | − | 0.0536551i | −0.0313814 | − | 0.999507i | \(-0.509991\pi\) |
−0.324597 | + | 0.945852i | \(0.605229\pi\) | |||||||
\(822\) | −0.171742 | + | 0.117092i | −0.00599020 | + | 0.00408405i | ||||
\(823\) | −11.4821 | − | 10.6538i | −0.400240 | − | 0.371368i | 0.454217 | − | 0.890891i | \(-0.349919\pi\) |
−0.854457 | + | 0.519523i | \(0.826110\pi\) | |||||||
\(824\) | −17.3751 | − | 11.8461i | −0.605290 | − | 0.412680i | ||||
\(825\) | −0.108492 | − | 0.475336i | −0.00377722 | − | 0.0165491i | ||||
\(826\) | 21.3315 | + | 10.0819i | 0.742218 | + | 0.350795i | ||||
\(827\) | 1.48144 | − | 6.49060i | 0.0515146 | − | 0.225700i | −0.942617 | − | 0.333875i | \(-0.891644\pi\) |
0.994132 | + | 0.108175i | \(0.0345007\pi\) | |||||||
\(828\) | 13.9384 | − | 12.9330i | 0.484394 | − | 0.449452i | ||||
\(829\) | 17.1579 | − | 2.58614i | 0.595919 | − | 0.0898204i | 0.155845 | − | 0.987782i | \(-0.450190\pi\) |
0.440075 | + | 0.897961i | \(0.354952\pi\) | |||||||
\(830\) | −15.5402 | − | 4.79350i | −0.539407 | − | 0.166385i | ||||
\(831\) | 0.162944 | + | 2.17434i | 0.00565246 | + | 0.0754269i | ||||
\(832\) | 18.3822 | 0.637289 | ||||||||
\(833\) | 5.82644 | + | 5.25026i | 0.201874 | + | 0.181911i | ||||
\(834\) | 1.47264 | 0.0509934 | ||||||||
\(835\) | 1.33227 | + | 17.7779i | 0.0461051 | + | 0.615230i | ||||
\(836\) | 17.4125 | + | 5.37106i | 0.602225 | + | 0.185762i | ||||
\(837\) | 8.19658 | − | 1.23544i | 0.283315 | − | 0.0427029i | ||||
\(838\) | 1.75846 | − | 1.63162i | 0.0607451 | − | 0.0563632i | ||||
\(839\) | 6.97366 | − | 30.5536i | 0.240758 | − | 1.05483i | −0.699572 | − | 0.714562i | \(-0.746626\pi\) |
0.940329 | − | 0.340265i | \(-0.110517\pi\) | |||||||
\(840\) | 2.66461 | − | 3.39172i | 0.0919379 | − | 0.117025i | ||||
\(841\) | 5.51116 | + | 24.1460i | 0.190040 | + | 0.832620i | ||||
\(842\) | 3.71296 | + | 2.53145i | 0.127957 | + | 0.0872397i | ||||
\(843\) | 6.06246 | + | 5.62514i | 0.208802 | + | 0.193740i | ||||
\(844\) | −9.42273 | + | 6.42431i | −0.324344 | + | 0.221134i | ||||
\(845\) | −0.200681 | − | 0.0302478i | −0.00690364 | − | 0.00104056i | ||||
\(846\) | −12.6323 | − | 6.08339i | −0.434307 | − | 0.209151i | ||||
\(847\) | 18.4018 | + | 2.63666i | 0.632293 | + | 0.0905967i | ||||
\(848\) | 0.711256 | − | 0.342523i | 0.0244246 | − | 0.0117623i | ||||
\(849\) | 1.09249 | − | 0.336990i | 0.0374943 | − | 0.0115655i | ||||
\(850\) | 0.312648 | + | 0.796615i | 0.0107238 | + | 0.0273237i | ||||
\(851\) | −2.19258 | + | 3.79766i | −0.0751607 | + | 0.130182i | ||||
\(852\) | 0.726227 | + | 1.25786i | 0.0248801 | + | 0.0430936i | ||||
\(853\) | 3.71287 | − | 4.65580i | 0.127126 | − | 0.159411i | −0.714195 | − | 0.699947i | \(-0.753207\pi\) |
0.841321 | + | 0.540536i | \(0.181778\pi\) | |||||||
\(854\) | 20.5936 | − | 3.25760i | 0.704699 | − | 0.111473i | ||||
\(855\) | 27.6667 | + | 34.6929i | 0.946181 | + | 1.18647i | ||||
\(856\) | 4.58123 | − | 11.6728i | 0.156583 | − | 0.398968i | ||||
\(857\) | −2.57175 | + | 34.3177i | −0.0878495 | + | 1.17227i | 0.762835 | + | 0.646593i | \(0.223807\pi\) |
−0.850685 | + | 0.525677i | \(0.823812\pi\) | |||||||
\(858\) | −0.134138 | + | 1.78995i | −0.00457940 | + | 0.0611078i | ||||
\(859\) | −3.78291 | + | 9.63870i | −0.129071 | + | 0.328868i | −0.980771 | − | 0.195162i | \(-0.937477\pi\) |
0.851700 | + | 0.524030i | \(0.175572\pi\) | |||||||
\(860\) | 3.61506 | + | 4.53315i | 0.123273 | + | 0.154579i | ||||
\(861\) | 4.41830 | − | 0.698909i | 0.150575 | − | 0.0238188i | ||||
\(862\) | 8.03851 | − | 10.0800i | 0.273793 | − | 0.343325i | ||||
\(863\) | −6.04299 | − | 10.4668i | −0.205706 | − | 0.356293i | 0.744652 | − | 0.667453i | \(-0.232616\pi\) |
−0.950357 | + | 0.311160i | \(0.899282\pi\) | |||||||
\(864\) | −4.70465 | + | 8.14869i | −0.160055 | + | 0.277224i | ||||
\(865\) | 2.83795 | + | 7.23098i | 0.0964933 | + | 0.245861i | ||||
\(866\) | 12.9746 | − | 4.00212i | 0.440893 | − | 0.135998i | ||||
\(867\) | −4.00389 | + | 1.92817i | −0.135979 | + | 0.0654841i | ||||
\(868\) | −15.8899 | − | 2.27675i | −0.539338 | − | 0.0772779i | ||||
\(869\) | −14.8459 | − | 7.14939i | −0.503611 | − | 0.242527i | ||||
\(870\) | 1.02904 | + | 0.155102i | 0.0348876 | + | 0.00525846i | ||||
\(871\) | −34.4780 | + | 23.5067i | −1.16824 | + | 0.796494i | ||||
\(872\) | 8.95372 | + | 8.30784i | 0.303211 | + | 0.281339i | ||||
\(873\) | −8.99381 | − | 6.13187i | −0.304394 | − | 0.207532i | ||||
\(874\) | −7.80336 | − | 34.1887i | −0.263952 | − | 1.15645i | ||||
\(875\) | −19.4948 | + | 24.8145i | −0.659046 | + | 0.838883i | ||||
\(876\) | 0.905415 | − | 3.96688i | 0.0305911 | − | 0.134029i | ||||
\(877\) | −40.1349 | + | 37.2398i | −1.35526 | + | 1.25750i | −0.418188 | + | 0.908360i | \(0.637335\pi\) |
−0.937072 | + | 0.349137i | \(0.886475\pi\) | |||||||
\(878\) | −3.75371 | + | 0.565781i | −0.126682 | + | 0.0190942i | ||||
\(879\) | 1.84035 | + | 0.567673i | 0.0620735 | + | 0.0191471i | ||||
\(880\) | −0.0175234 | − | 0.233833i | −0.000590712 | − | 0.00788251i | ||||
\(881\) | 14.9335 | 0.503124 | 0.251562 | − | 0.967841i | \(-0.419056\pi\) | ||||
0.251562 | + | 0.967841i | \(0.419056\pi\) | |||||||
\(882\) | −1.08457 | + | 17.9857i | −0.0365194 | + | 0.605609i | ||||
\(883\) | −10.8928 | −0.366570 | −0.183285 | − | 0.983060i | \(-0.558673\pi\) | ||||
−0.183285 | + | 0.983060i | \(0.558673\pi\) | |||||||
\(884\) | 0.370657 | + | 4.94607i | 0.0124665 | + | 0.166354i | ||||
\(885\) | 5.54790 | + | 1.71130i | 0.186491 | + | 0.0575247i | ||||
\(886\) | 2.03613 | − | 0.306897i | 0.0684050 | − | 0.0103104i | ||||
\(887\) | −40.2092 | + | 37.3087i | −1.35009 | + | 1.25270i | −0.409872 | + | 0.912143i | \(0.634426\pi\) |
−0.940222 | + | 0.340561i | \(0.889383\pi\) | |||||||
\(888\) | 0.146983 | − | 0.643972i | 0.00493241 | − | 0.0216103i | ||||
\(889\) | 13.3127 | + | 6.29197i | 0.446492 | + | 0.211026i | ||||
\(890\) | 7.00328 | + | 30.6834i | 0.234750 | + | 1.02851i | ||||
\(891\) | 13.6529 | + | 9.30841i | 0.457390 | + | 0.311844i | ||||
\(892\) | −5.18511 | − | 4.81107i | −0.173610 | − | 0.161087i | ||||
\(893\) | 33.6356 | − | 22.9324i | 1.12557 | − | 0.767403i | ||||
\(894\) | 2.24254 | + | 0.338008i | 0.0750016 | + | 0.0113047i | ||||
\(895\) | −11.2088 | − | 5.39787i | −0.374669 | − | 0.180431i | ||||
\(896\) | 13.0701 | − | 12.3057i | 0.436640 | − | 0.411103i | ||||
\(897\) | −4.89970 | + | 2.35957i | −0.163596 | + | 0.0787837i | ||||
\(898\) | 14.8870 | − | 4.59202i | 0.496785 | − | 0.153238i | ||||
\(899\) | −3.72865 | − | 9.50045i | −0.124357 | − | 0.316858i | ||||
\(900\) | 1.54757 | − | 2.68047i | 0.0515857 | − | 0.0893491i | ||||
\(901\) | 7.64374 | + | 13.2393i | 0.254650 | + | 0.441066i | ||||
\(902\) | 6.56217 | − | 8.22871i | 0.218497 | − | 0.273986i | ||||
\(903\) | 1.66758 | + | 0.501104i | 0.0554935 | + | 0.0166757i | ||||
\(904\) | 22.1285 | + | 27.7482i | 0.735982 | + | 0.922892i | ||||
\(905\) | 16.6764 | − | 42.4908i | 0.554342 | − | 1.41244i | ||||
\(906\) | 0.0541033 | − | 0.721959i | 0.00179746 | − | 0.0239855i | ||||
\(907\) | −1.95619 | + | 26.1035i | −0.0649541 | + | 0.866753i | 0.865632 | + | 0.500680i | \(0.166917\pi\) |
−0.930586 | + | 0.366072i | \(0.880702\pi\) | |||||||
\(908\) | −5.93352 | + | 15.1184i | −0.196911 | + | 0.501720i | ||||
\(909\) | 6.54301 | + | 8.20467i | 0.217018 | + | 0.272132i | ||||
\(910\) | 14.1076 | − | 9.76974i | 0.467664 | − | 0.323864i | ||||
\(911\) | 27.8205 | − | 34.8858i | 0.921734 | − | 1.15582i | −0.0657087 | − | 0.997839i | \(-0.520931\pi\) |
0.987443 | − | 0.157979i | \(-0.0504978\pi\) | |||||||
\(912\) | 0.0610257 | + | 0.105700i | 0.00202076 | + | 0.00350006i | ||||
\(913\) | 9.04525 | − | 15.6668i | 0.299354 | − | 0.518496i | ||||
\(914\) | 0.406454 | + | 1.03563i | 0.0134443 | + | 0.0342556i | ||||
\(915\) | 4.90259 | − | 1.51225i | 0.162074 | − | 0.0499934i | ||||
\(916\) | −23.5993 | + | 11.3648i | −0.779744 | + | 0.375505i | ||||
\(917\) | −20.0214 | − | 34.1018i | −0.661164 | − | 1.12614i | ||||
\(918\) | 1.48684 | + | 0.716024i | 0.0490730 | + | 0.0236323i | ||||
\(919\) | 32.3241 | + | 4.87207i | 1.06627 | + | 0.160715i | 0.658661 | − | 0.752440i | \(-0.271123\pi\) |
0.407613 | + | 0.913155i | \(0.366361\pi\) | |||||||
\(920\) | 25.4043 | − | 17.3204i | 0.837555 | − | 0.571035i | ||||
\(921\) | −5.52875 | − | 5.12993i | −0.182179 | − | 0.169037i | ||||
\(922\) | −6.40006 | − | 4.36349i | −0.210775 | − | 0.143704i | ||||
\(923\) | 3.38850 | + | 14.8460i | 0.111534 | + | 0.488661i | ||||
\(924\) | 1.14555 | + | 1.41520i | 0.0376859 | + | 0.0465568i | ||||
\(925\) | −0.158839 | + | 0.695921i | −0.00522261 | + | 0.0228817i | ||||
\(926\) | −23.4482 | + | 21.7567i | −0.770555 | + | 0.714970i | ||||
\(927\) | 21.3756 | − | 3.22185i | 0.702067 | − | 0.105820i | ||||
\(928\) | 11.0704 | + | 3.41477i | 0.363404 | + | 0.112095i | ||||
\(929\) | −2.18613 | − | 29.1719i | −0.0717247 | − | 0.957100i | −0.910737 | − | 0.412987i | \(-0.864485\pi\) |
0.839012 | − | 0.544113i | \(-0.183134\pi\) | |||||||
\(930\) | 2.50903 | 0.0822744 | ||||||||
\(931\) | −43.6505 | − | 28.8378i | −1.43059 | − | 0.945122i | ||||
\(932\) | 29.2330 | 0.957559 | ||||||||
\(933\) | 0.0862102 | + | 1.15040i | 0.00282240 | + | 0.0376622i | ||||
\(934\) | −25.0857 | − | 7.73793i | −0.820831 | − | 0.253193i | ||||
\(935\) | 4.49017 | − | 0.676785i | 0.146844 | − | 0.0221332i | ||||
\(936\) | −22.0119 | + | 20.4240i | −0.719481 | + | 0.667581i | ||||
\(937\) | −5.73292 | + | 25.1176i | −0.187286 | + | 0.820555i | 0.790753 | + | 0.612135i | \(0.209689\pi\) |
−0.978039 | + | 0.208420i | \(0.933168\pi\) | |||||||
\(938\) | 5.79172 | − | 26.2555i | 0.189106 | − | 0.857271i | ||||
\(939\) | 1.73031 | + | 7.58097i | 0.0564664 | + | 0.247396i | ||||
\(940\) | 11.1912 | + | 7.63004i | 0.365017 | + | 0.248864i | ||||
\(941\) | −44.7390 | − | 41.5117i | −1.45845 | − | 1.35324i | −0.798640 | − | 0.601809i | \(-0.794447\pi\) |
−0.659809 | − | 0.751434i | \(-0.729363\pi\) | |||||||
\(942\) | 1.08971 | − | 0.742949i | 0.0355045 | − | 0.0242066i | ||||
\(943\) | 31.5314 | + | 4.75259i | 1.02680 | + | 0.154766i | ||||
\(944\) | −0.527404 | − | 0.253984i | −0.0171655 | − | 0.00826649i | ||||
\(945\) | 0.737002 | + | 8.95832i | 0.0239747 | + | 0.291414i | ||||
\(946\) | 3.69118 | − | 1.77758i | 0.120011 | − | 0.0577940i | ||||
\(947\) | −50.4968 | + | 15.5762i | −1.64092 | + | 0.506158i | −0.971563 | − | 0.236779i | \(-0.923908\pi\) |
−0.669361 | + | 0.742937i | \(0.733432\pi\) | |||||||
\(948\) | 1.04254 | + | 2.65635i | 0.0338601 | + | 0.0862742i | ||||
\(949\) | 21.3295 | − | 36.9438i | 0.692385 | − | 1.19925i | ||||
\(950\) | −2.85419 | − | 4.94360i | −0.0926020 | − | 0.160391i | ||||
\(951\) | −1.11650 | + | 1.40004i | −0.0362048 | + | 0.0453994i | ||||
\(952\) | −6.21498 | − | 5.68296i | −0.201429 | − | 0.184186i | ||||
\(953\) | −33.3284 | − | 41.7925i | −1.07961 | − | 1.35379i | −0.931052 | − | 0.364887i | \(-0.881107\pi\) |
−0.148560 | − | 0.988903i | \(-0.547464\pi\) | |||||||
\(954\) | −12.8312 | + | 32.6933i | −0.415425 | + | 1.05849i | ||||
\(955\) | 2.16099 | − | 28.8364i | 0.0699280 | − | 0.933125i | ||||
\(956\) | −1.06957 | + | 14.2725i | −0.0345925 | + | 0.461605i | ||||
\(957\) | −0.422927 | + | 1.07760i | −0.0136713 | + | 0.0348339i | ||||
\(958\) | 20.5469 | + | 25.7650i | 0.663841 | + | 0.832430i | ||||
\(959\) | −1.09129 | + | 1.92238i | −0.0352396 | + | 0.0620768i | ||||
\(960\) | −1.81715 | + | 2.27864i | −0.0586483 | + | 0.0735426i | ||||
\(961\) | 3.19672 | + | 5.53689i | 0.103120 | + | 0.178609i | ||||
\(962\) | 1.31397 | − | 2.27586i | 0.0423641 | − | 0.0733768i | ||||
\(963\) | 4.70931 | + | 11.9991i | 0.151755 | + | 0.386667i | ||||
\(964\) | 15.0712 | − | 4.64884i | 0.485409 | − | 0.149729i | ||||
\(965\) | −12.0226 | + | 5.78978i | −0.387021 | + | 0.186380i | ||||
\(966\) | 1.25635 | − | 3.27099i | 0.0404223 | − | 0.105242i | ||||
\(967\) | 31.0375 | + | 14.9469i | 0.998100 | + | 0.480659i | 0.860293 | − | 0.509800i | \(-0.170280\pi\) |
0.137807 | + | 0.990459i | \(0.455995\pi\) | |||||||
\(968\) | −19.7380 | − | 2.97502i | −0.634403 | − | 0.0956209i | ||||
\(969\) | −1.95284 | + | 1.33143i | −0.0627344 | + | 0.0427716i | ||||
\(970\) | −4.89645 | − | 4.54325i | −0.157216 | − | 0.145875i | ||||
\(971\) | −24.0376 | − | 16.3886i | −0.771404 | − | 0.525934i | 0.112473 | − | 0.993655i | \(-0.464123\pi\) |
−0.883876 | + | 0.467721i | \(0.845075\pi\) | |||||||
\(972\) | −2.00117 | − | 8.76768i | −0.0641874 | − | 0.281223i | ||||
\(973\) | 14.0603 | − | 6.89771i | 0.450752 | − | 0.221130i | ||||
\(974\) | −6.54830 | + | 28.6900i | −0.209821 | + | 0.919287i | ||||
\(975\) | −0.648927 | + | 0.602116i | −0.0207823 | + | 0.0192831i | ||||
\(976\) | −0.511508 | + | 0.0770974i | −0.0163730 | + | 0.00246783i | ||||
\(977\) | −4.82826 | − | 1.48932i | −0.154470 | − | 0.0476476i | 0.216556 | − | 0.976270i | \(-0.430518\pi\) |
−0.371026 | + | 0.928623i | \(0.620994\pi\) | |||||||
\(978\) | 0.0787054 | + | 1.05025i | 0.00251672 | + | 0.0335833i | ||||
\(979\) | −35.0098 | −1.11892 | ||||||||
\(980\) | 3.62566 | − | 17.0248i | 0.115818 | − | 0.543838i | ||||
\(981\) | −12.5558 | −0.400875 | ||||||||
\(982\) | −0.103047 | − | 1.37506i | −0.00328836 | − | 0.0438801i | ||||
\(983\) | −35.7982 | − | 11.0423i | −1.14179 | − | 0.352194i | −0.334523 | − | 0.942387i | \(-0.608575\pi\) |
−0.807262 | + | 0.590193i | \(0.799052\pi\) | |||||||
\(984\) | −4.74955 | + | 0.715879i | −0.151410 | + | 0.0228214i | ||||
\(985\) | −26.5105 | + | 24.5982i | −0.844695 | + | 0.783762i | ||||
\(986\) | 0.452134 | − | 1.98093i | 0.0143989 | − | 0.0630856i | ||||
\(987\) | 4.06754 | − | 0.0296344i | 0.129471 | − | 0.000943275i | ||||
\(988\) | −7.36210 | − | 32.2555i | −0.234220 | − | 1.02618i | ||||
\(989\) | 10.2557 | + | 6.99219i | 0.326111 | + | 0.222339i | ||||
\(990\) | 7.64731 | + | 7.09567i | 0.243047 | + | 0.225515i | ||||
\(991\) | 11.6974 | − | 7.97515i | 0.371580 | − | 0.253339i | −0.363104 | − | 0.931749i | \(-0.618283\pi\) |
0.734684 | + | 0.678410i | \(0.237331\pi\) | |||||||
\(992\) | 27.6197 | + | 4.16300i | 0.876927 | + | 0.132175i | ||||
\(993\) | −1.52422 | − | 0.734025i | −0.0483696 | − | 0.0232936i | ||||
\(994\) | −8.14673 | − | 5.46783i | −0.258398 | − | 0.173429i | ||||
\(995\) | 28.8102 | − | 13.8743i | 0.913346 | − | 0.439844i | ||||
\(996\) | −2.99373 | + | 0.923444i | −0.0948600 | + | 0.0292604i | ||||
\(997\) | −13.6960 | − | 34.8969i | −0.433757 | − | 1.10519i | −0.965986 | − | 0.258594i | \(-0.916741\pi\) |
0.532229 | − | 0.846600i | \(-0.321355\pi\) | |||||||
\(998\) | 14.3088 | − | 24.7835i | 0.452937 | − | 0.784509i | ||||
\(999\) | 0.688262 | + | 1.19210i | 0.0217756 | + | 0.0377165i |
(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 | 49.2.g.a.32.3 | yes | 48 | |
3.2 | odd | 2 | 441.2.bb.d.424.2 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.81.2 | 48 | |||
7.2 | even | 3 | 343.2.g.i.30.3 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.197.3 | 48 | |||
7.4 | even | 3 | 343.2.e.d.197.3 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.30.3 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.116.3 | 48 | |||
49.4 | even | 21 | 343.2.e.d.148.3 | 48 | |||
49.11 | even | 21 | 2401.2.a.h.1.16 | 24 | |||
49.22 | even | 7 | 343.2.g.i.263.3 | 48 | |||
49.23 | even | 21 | inner | 49.2.g.a.23.3 | ✓ | 48 | |
49.26 | odd | 42 | 343.2.g.g.275.3 | 48 | |||
49.27 | odd | 14 | 343.2.g.h.263.3 | 48 | |||
49.38 | odd | 42 | 2401.2.a.i.1.16 | 24 | |||
49.45 | odd | 42 | 343.2.e.c.148.3 | 48 | |||
147.23 | odd | 42 | 441.2.bb.d.415.2 | 48 | |||
196.23 | odd | 42 | 784.2.bg.c.513.2 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.23.3 | ✓ | 48 | 49.23 | even | 21 | inner | |
49.2.g.a.32.3 | yes | 48 | 1.1 | even | 1 | trivial | |
343.2.e.c.148.3 | 48 | 49.45 | odd | 42 | |||
343.2.e.c.197.3 | 48 | 7.3 | odd | 6 | |||
343.2.e.d.148.3 | 48 | 49.4 | even | 21 | |||
343.2.e.d.197.3 | 48 | 7.4 | even | 3 | |||
343.2.g.g.116.3 | 48 | 7.6 | odd | 2 | |||
343.2.g.g.275.3 | 48 | 49.26 | odd | 42 | |||
343.2.g.h.30.3 | 48 | 7.5 | odd | 6 | |||
343.2.g.h.263.3 | 48 | 49.27 | odd | 14 | |||
343.2.g.i.30.3 | 48 | 7.2 | even | 3 | |||
343.2.g.i.263.3 | 48 | 49.22 | even | 7 | |||
441.2.bb.d.415.2 | 48 | 147.23 | odd | 42 | |||
441.2.bb.d.424.2 | 48 | 3.2 | odd | 2 | |||
784.2.bg.c.81.2 | 48 | 4.3 | odd | 2 | |||
784.2.bg.c.513.2 | 48 | 196.23 | odd | 42 | |||
2401.2.a.h.1.16 | 24 | 49.11 | even | 21 | |||
2401.2.a.i.1.16 | 24 | 49.38 | odd | 42 |