Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(11,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.q (of order \(15\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 81.7 | ||
Character | \(\chi\) | \(=\) | 175.81 |
Dual form | 175.2.q.a.121.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.594332 | + | 0.660073i | −0.420256 | + | 0.466742i | −0.915679 | − | 0.401910i | \(-0.868346\pi\) |
0.495423 | + | 0.868652i | \(0.335013\pi\) | |||||||
\(3\) | 0.138357 | + | 1.31638i | 0.0798804 | + | 0.760011i | 0.958999 | + | 0.283409i | \(0.0914652\pi\) |
−0.879119 | + | 0.476603i | \(0.841868\pi\) | |||||||
\(4\) | 0.126592 | + | 1.20444i | 0.0632958 | + | 0.602220i | ||||
\(5\) | 1.85840 | − | 1.24353i | 0.831100 | − | 0.556123i | ||||
\(6\) | −0.951135 | − | 0.691040i | −0.388299 | − | 0.282116i | ||||
\(7\) | 1.95148 | + | 1.78654i | 0.737591 | + | 0.675248i | ||||
\(8\) | −2.30742 | − | 1.67644i | −0.815795 | − | 0.592710i | ||||
\(9\) | 1.22073 | − | 0.259475i | 0.406912 | − | 0.0864917i | ||||
\(10\) | −0.283684 | + | 1.96575i | −0.0897087 | + | 0.621623i | ||||
\(11\) | −3.42121 | − | 0.727200i | −1.03153 | − | 0.219259i | −0.339106 | − | 0.940748i | \(-0.610125\pi\) |
−0.692426 | + | 0.721489i | \(0.743458\pi\) | |||||||
\(12\) | −1.56798 | + | 0.333285i | −0.452637 | + | 0.0962111i | ||||
\(13\) | −1.01791 | + | 3.13281i | −0.282318 | + | 0.868884i | 0.704872 | + | 0.709334i | \(0.251004\pi\) |
−0.987190 | + | 0.159550i | \(0.948996\pi\) | |||||||
\(14\) | −2.33907 | + | 0.226324i | −0.625144 | + | 0.0604877i | ||||
\(15\) | 1.89408 | + | 2.27430i | 0.489049 | + | 0.587222i | ||||
\(16\) | 0.108725 | − | 0.0231102i | 0.0271812 | − | 0.00577754i | ||||
\(17\) | −1.37913 | + | 0.614029i | −0.334489 | + | 0.148924i | −0.567107 | − | 0.823644i | \(-0.691937\pi\) |
0.232618 | + | 0.972568i | \(0.425271\pi\) | |||||||
\(18\) | −0.554249 | + | 0.959988i | −0.130638 | + | 0.226271i | ||||
\(19\) | 0.525831 | − | 5.00295i | 0.120634 | − | 1.14776i | −0.751926 | − | 0.659248i | \(-0.770875\pi\) |
0.872560 | − | 0.488508i | \(-0.162459\pi\) | |||||||
\(20\) | 1.73301 | + | 2.08090i | 0.387514 | + | 0.465304i | ||||
\(21\) | −2.08176 | + | 2.81607i | −0.454277 | + | 0.614517i | ||||
\(22\) | 2.51334 | − | 1.82605i | 0.535845 | − | 0.389314i | ||||
\(23\) | −1.49431 | + | 1.65960i | −0.311586 | + | 0.346051i | −0.878514 | − | 0.477716i | \(-0.841465\pi\) |
0.566929 | + | 0.823767i | \(0.308132\pi\) | |||||||
\(24\) | 1.88758 | − | 3.26938i | 0.385300 | − | 0.667359i | ||||
\(25\) | 1.90727 | − | 4.62194i | 0.381453 | − | 0.924388i | ||||
\(26\) | −1.46290 | − | 2.53382i | −0.286899 | − | 0.496923i | ||||
\(27\) | 1.73754 | + | 5.34759i | 0.334389 | + | 1.02914i | ||||
\(28\) | −1.90473 | + | 2.57660i | −0.359961 | + | 0.486932i | ||||
\(29\) | 7.71611 | − | 5.60608i | 1.43285 | − | 1.04102i | 0.443367 | − | 0.896340i | \(-0.353784\pi\) |
0.989478 | − | 0.144683i | \(-0.0462163\pi\) | |||||||
\(30\) | −2.62691 | − | 0.101461i | −0.479607 | − | 0.0185241i | ||||
\(31\) | −5.43958 | + | 2.42186i | −0.976978 | + | 0.434979i | −0.832194 | − | 0.554485i | \(-0.812915\pi\) |
−0.144784 | + | 0.989463i | \(0.546249\pi\) | |||||||
\(32\) | 2.80276 | − | 4.85452i | 0.495463 | − | 0.858167i | ||||
\(33\) | 0.483922 | − | 4.60421i | 0.0842400 | − | 0.801490i | ||||
\(34\) | 0.414359 | − | 1.27526i | 0.0710619 | − | 0.218706i | ||||
\(35\) | 5.84824 | + | 0.893365i | 0.988533 | + | 0.151006i | ||||
\(36\) | 0.467057 | + | 1.43745i | 0.0778428 | + | 0.239576i | ||||
\(37\) | 4.01987 | − | 0.854450i | 0.660863 | − | 0.140471i | 0.134742 | − | 0.990881i | \(-0.456979\pi\) |
0.526121 | + | 0.850410i | \(0.323646\pi\) | |||||||
\(38\) | 2.98979 | + | 3.32050i | 0.485009 | + | 0.538657i | ||||
\(39\) | −4.26479 | − | 0.906509i | −0.682913 | − | 0.145158i | ||||
\(40\) | −6.37279 | − | 0.246140i | −1.00763 | − | 0.0389182i | ||||
\(41\) | 3.20915 | − | 9.87674i | 0.501185 | − | 1.54249i | −0.305906 | − | 0.952062i | \(-0.598959\pi\) |
0.807091 | − | 0.590427i | \(-0.201041\pi\) | |||||||
\(42\) | −0.621555 | − | 3.04779i | −0.0959080 | − | 0.470284i | ||||
\(43\) | −0.679370 | −0.103603 | −0.0518015 | − | 0.998657i | \(-0.516496\pi\) | ||||
−0.0518015 | + | 0.998657i | \(0.516496\pi\) | |||||||
\(44\) | 0.442772 | − | 4.21269i | 0.0667503 | − | 0.635087i | ||||
\(45\) | 1.94594 | − | 2.00023i | 0.290084 | − | 0.298176i | ||||
\(46\) | −0.207340 | − | 1.97271i | −0.0305707 | − | 0.290860i | ||||
\(47\) | −2.81189 | − | 1.25193i | −0.410156 | − | 0.182613i | 0.191277 | − | 0.981536i | \(-0.438737\pi\) |
−0.601434 | + | 0.798923i | \(0.705404\pi\) | |||||||
\(48\) | 0.0454646 | + | 0.139926i | 0.00656224 | + | 0.0201965i | ||||
\(49\) | 0.616571 | + | 6.97279i | 0.0880816 | + | 0.996113i | ||||
\(50\) | 1.91727 | + | 4.00590i | 0.271142 | + | 0.566520i | ||||
\(51\) | −0.999107 | − | 1.73050i | −0.139903 | − | 0.242319i | ||||
\(52\) | −3.90213 | − | 0.829424i | −0.541129 | − | 0.115020i | ||||
\(53\) | 0.0147224 | + | 0.140075i | 0.00202228 | + | 0.0192407i | 0.995487 | − | 0.0949032i | \(-0.0302542\pi\) |
−0.993464 | + | 0.114144i | \(0.963587\pi\) | |||||||
\(54\) | −4.56247 | − | 2.03134i | −0.620873 | − | 0.276431i | ||||
\(55\) | −7.26225 | + | 2.90295i | −0.979241 | + | 0.391433i | ||||
\(56\) | −1.50787 | − | 7.39382i | −0.201497 | − | 0.988041i | ||||
\(57\) | 6.65853 | 0.881944 | ||||||||
\(58\) | −0.885510 | + | 8.42507i | −0.116273 | + | 1.10627i | ||||
\(59\) | −0.679047 | − | 0.754158i | −0.0884044 | − | 0.0981830i | 0.697319 | − | 0.716761i | \(-0.254376\pi\) |
−0.785724 | + | 0.618578i | \(0.787709\pi\) | |||||||
\(60\) | −2.49948 | + | 2.56921i | −0.322682 | + | 0.331683i | ||||
\(61\) | 1.45980 | − | 1.62127i | 0.186908 | − | 0.207582i | −0.642407 | − | 0.766364i | \(-0.722064\pi\) |
0.829315 | + | 0.558781i | \(0.188731\pi\) | |||||||
\(62\) | 1.63432 | − | 5.02991i | 0.207558 | − | 0.638799i | ||||
\(63\) | 2.84581 | + | 1.67453i | 0.358538 | + | 0.210971i | ||||
\(64\) | 1.60726 | + | 4.94665i | 0.200908 | + | 0.618331i | ||||
\(65\) | 2.00406 | + | 7.08779i | 0.248573 | + | 0.879133i | ||||
\(66\) | 2.75150 | + | 3.05585i | 0.338687 | + | 0.376150i | ||||
\(67\) | 11.2580 | − | 5.01237i | 1.37538 | − | 0.612359i | 0.419943 | − | 0.907551i | \(-0.362050\pi\) |
0.955438 | + | 0.295192i | \(0.0953835\pi\) | |||||||
\(68\) | −0.914148 | − | 1.58335i | −0.110857 | − | 0.192009i | ||||
\(69\) | −2.39141 | − | 1.73746i | −0.287892 | − | 0.209166i | ||||
\(70\) | −4.06548 | + | 3.32931i | −0.485918 | + | 0.397928i | ||||
\(71\) | −6.09102 | + | 4.42539i | −0.722871 | + | 0.525197i | −0.887300 | − | 0.461192i | \(-0.847422\pi\) |
0.164429 | + | 0.986389i | \(0.447422\pi\) | |||||||
\(72\) | −3.25174 | − | 1.44777i | −0.383221 | − | 0.170621i | ||||
\(73\) | −10.1175 | − | 2.15054i | −1.18416 | − | 0.251702i | −0.426585 | − | 0.904447i | \(-0.640284\pi\) |
−0.757577 | + | 0.652746i | \(0.773617\pi\) | |||||||
\(74\) | −1.82514 | + | 3.16123i | −0.212168 | + | 0.367486i | ||||
\(75\) | 6.34810 | + | 1.87121i | 0.733016 | + | 0.216068i | ||||
\(76\) | 6.09232 | 0.698837 | ||||||||
\(77\) | −5.37726 | − | 7.53123i | −0.612795 | − | 0.858263i | ||||
\(78\) | 3.13306 | − | 2.27630i | 0.354750 | − | 0.257741i | ||||
\(79\) | 8.72591 | + | 3.88503i | 0.981742 | + | 0.437100i | 0.833903 | − | 0.551912i | \(-0.186101\pi\) |
0.147839 | + | 0.989011i | \(0.452768\pi\) | |||||||
\(80\) | 0.173316 | − | 0.178150i | 0.0193773 | − | 0.0199178i | ||||
\(81\) | −3.37871 | + | 1.50430i | −0.375412 | + | 0.167144i | ||||
\(82\) | 4.61207 | + | 7.98834i | 0.509318 | + | 0.882164i | ||||
\(83\) | 4.18519 | + | 3.04072i | 0.459384 | + | 0.333762i | 0.793290 | − | 0.608844i | \(-0.208367\pi\) |
−0.333906 | + | 0.942607i | \(0.608367\pi\) | |||||||
\(84\) | −3.65532 | − | 2.15086i | −0.398828 | − | 0.234678i | ||||
\(85\) | −1.79941 | + | 2.85610i | −0.195173 | + | 0.309788i | ||||
\(86\) | 0.403771 | − | 0.448434i | 0.0435398 | − | 0.0483558i | ||||
\(87\) | 8.44730 | + | 9.38167i | 0.905645 | + | 1.00582i | ||||
\(88\) | 6.67504 | + | 7.41339i | 0.711562 | + | 0.790270i | ||||
\(89\) | −7.43692 | + | 8.25953i | −0.788312 | + | 0.875509i | −0.994685 | − | 0.102965i | \(-0.967167\pi\) |
0.206374 | + | 0.978473i | \(0.433834\pi\) | |||||||
\(90\) | 0.163759 | + | 2.47326i | 0.0172618 | + | 0.260705i | ||||
\(91\) | −7.58331 | + | 4.29508i | −0.794947 | + | 0.450247i | ||||
\(92\) | −2.18806 | − | 1.58972i | −0.228121 | − | 0.165740i | ||||
\(93\) | −3.94069 | − | 6.82547i | −0.408630 | − | 0.707768i | ||||
\(94\) | 2.49756 | − | 1.11199i | 0.257604 | − | 0.114693i | ||||
\(95\) | −5.24412 | − | 9.95135i | −0.538035 | − | 1.02099i | ||||
\(96\) | 6.77817 | + | 3.01784i | 0.691794 | + | 0.308006i | ||||
\(97\) | −13.0272 | + | 9.46481i | −1.32271 | + | 0.961006i | −0.322817 | + | 0.946461i | \(0.604630\pi\) |
−0.999894 | + | 0.0145450i | \(0.995370\pi\) | |||||||
\(98\) | −4.96900 | − | 3.73717i | −0.501945 | − | 0.377511i | ||||
\(99\) | −4.36507 | −0.438707 | ||||||||
\(100\) | 5.80829 | + | 1.71209i | 0.580829 | + | 0.171209i | ||||
\(101\) | −2.95138 | + | 5.11194i | −0.293673 | + | 0.508657i | −0.974675 | − | 0.223625i | \(-0.928211\pi\) |
0.681002 | + | 0.732281i | \(0.261544\pi\) | |||||||
\(102\) | 1.73606 | + | 0.369011i | 0.171896 | + | 0.0365375i | ||||
\(103\) | −12.2574 | − | 5.45736i | −1.20776 | − | 0.537729i | −0.298681 | − | 0.954353i | \(-0.596547\pi\) |
−0.909079 | + | 0.416624i | \(0.863213\pi\) | |||||||
\(104\) | 7.60070 | − | 5.52223i | 0.745310 | − | 0.541499i | ||||
\(105\) | −0.366861 | + | 7.82210i | −0.0358020 | + | 0.763358i | ||||
\(106\) | −0.101210 | − | 0.0735330i | −0.00983034 | − | 0.00714216i | ||||
\(107\) | 1.72733 | + | 2.99182i | 0.166987 | + | 0.289230i | 0.937359 | − | 0.348364i | \(-0.113263\pi\) |
−0.770372 | + | 0.637595i | \(0.779929\pi\) | |||||||
\(108\) | −6.22088 | + | 2.76972i | −0.598605 | + | 0.266516i | ||||
\(109\) | 1.27054 | + | 1.41107i | 0.121695 | + | 0.135156i | 0.800913 | − | 0.598780i | \(-0.204348\pi\) |
−0.679218 | + | 0.733936i | \(0.737681\pi\) | |||||||
\(110\) | 2.40003 | − | 6.51892i | 0.228834 | − | 0.621555i | ||||
\(111\) | 1.68096 | + | 5.17345i | 0.159549 | + | 0.491042i | ||||
\(112\) | 0.253462 | + | 0.149142i | 0.0239499 | + | 0.0140926i | ||||
\(113\) | 5.92435 | − | 18.2333i | 0.557316 | − | 1.71524i | −0.132431 | − | 0.991192i | \(-0.542278\pi\) |
0.689747 | − | 0.724050i | \(-0.257722\pi\) | |||||||
\(114\) | −3.95738 | + | 4.39511i | −0.370642 | + | 0.411640i | ||||
\(115\) | −0.713259 | + | 4.94242i | −0.0665118 | + | 0.460883i | ||||
\(116\) | 7.72898 | + | 8.58390i | 0.717618 | + | 0.796995i | ||||
\(117\) | −0.429713 | + | 4.08845i | −0.0397270 | + | 0.377977i | ||||
\(118\) | 0.901379 | 0.0829786 | ||||||||
\(119\) | −3.78834 | − | 1.26560i | −0.347277 | − | 0.116018i | ||||
\(120\) | −0.557706 | − | 8.42306i | −0.0509114 | − | 0.768917i | ||||
\(121\) | 1.12683 | + | 0.501696i | 0.102439 | + | 0.0456087i | ||||
\(122\) | 0.202551 | + | 1.92715i | 0.0183381 | + | 0.174476i | ||||
\(123\) | 13.4455 | + | 2.85794i | 1.21234 | + | 0.257691i | ||||
\(124\) | −3.60559 | − | 6.24506i | −0.323791 | − | 0.560823i | ||||
\(125\) | −2.20306 | − | 10.9611i | −0.197048 | − | 0.980394i | ||||
\(126\) | −2.79666 | + | 0.883213i | −0.249146 | + | 0.0786829i | ||||
\(127\) | −1.97625 | − | 6.08228i | −0.175364 | − | 0.539715i | 0.824286 | − | 0.566174i | \(-0.191577\pi\) |
−0.999650 | + | 0.0264588i | \(0.991577\pi\) | |||||||
\(128\) | 6.02140 | + | 2.68090i | 0.532221 | + | 0.236960i | ||||
\(129\) | −0.0939955 | − | 0.894308i | −0.00827584 | − | 0.0787394i | ||||
\(130\) | −5.86954 | − | 2.88968i | −0.514792 | − | 0.253442i | ||||
\(131\) | −0.675862 | + | 6.43039i | −0.0590503 | + | 0.561826i | 0.924499 | + | 0.381185i | \(0.124484\pi\) |
−0.983549 | + | 0.180641i | \(0.942183\pi\) | |||||||
\(132\) | 5.60675 | 0.488005 | ||||||||
\(133\) | 9.96411 | − | 8.82376i | 0.863998 | − | 0.765117i | ||||
\(134\) | −3.38245 | + | 10.4101i | −0.292199 | + | 0.899295i | ||||
\(135\) | 9.87891 | + | 7.77725i | 0.850241 | + | 0.669359i | ||||
\(136\) | 4.21162 | + | 0.895207i | 0.361143 | + | 0.0767633i | ||||
\(137\) | −4.72897 | − | 5.25206i | −0.404023 | − | 0.448713i | 0.506457 | − | 0.862265i | \(-0.330955\pi\) |
−0.910481 | + | 0.413552i | \(0.864288\pi\) | |||||||
\(138\) | 2.56815 | − | 0.545876i | 0.218615 | − | 0.0464681i | ||||
\(139\) | −0.276312 | − | 0.850401i | −0.0234365 | − | 0.0721301i | 0.938654 | − | 0.344860i | \(-0.112074\pi\) |
−0.962091 | + | 0.272730i | \(0.912074\pi\) | |||||||
\(140\) | −0.335665 | + | 7.15694i | −0.0283689 | + | 0.604872i | ||||
\(141\) | 1.25897 | − | 3.87472i | 0.106025 | − | 0.326311i | ||||
\(142\) | 0.699013 | − | 6.65066i | 0.0586599 | − | 0.558111i | ||||
\(143\) | 5.76066 | − | 9.97775i | 0.481730 | − | 0.834381i | ||||
\(144\) | 0.126728 | − | 0.0564228i | 0.0105606 | − | 0.00470190i | ||||
\(145\) | 7.36825 | − | 20.0135i | 0.611900 | − | 1.66203i | ||||
\(146\) | 7.43266 | − | 5.40014i | 0.615131 | − | 0.446919i | ||||
\(147\) | −9.09352 | + | 1.77637i | −0.750021 | + | 0.146513i | ||||
\(148\) | 1.53802 | + | 4.73353i | 0.126424 | + | 0.389093i | ||||
\(149\) | −10.1562 | − | 17.5910i | −0.832025 | − | 1.44111i | −0.896430 | − | 0.443185i | \(-0.853848\pi\) |
0.0644051 | − | 0.997924i | \(-0.479485\pi\) | |||||||
\(150\) | −5.00801 | + | 3.07809i | −0.408903 | + | 0.251325i | ||||
\(151\) | 9.63923 | − | 16.6956i | 0.784429 | − | 1.35867i | −0.144911 | − | 0.989445i | \(-0.546289\pi\) |
0.929340 | − | 0.369226i | \(-0.120377\pi\) | |||||||
\(152\) | −9.60045 | + | 10.6624i | −0.778699 | + | 0.864833i | ||||
\(153\) | −1.52423 | + | 1.10742i | −0.123227 | + | 0.0895294i | ||||
\(154\) | 8.16703 | + | 0.926671i | 0.658118 | + | 0.0746733i | ||||
\(155\) | −7.09724 | + | 11.2651i | −0.570064 | + | 0.904831i | ||||
\(156\) | 0.551948 | − | 5.25144i | 0.0441912 | − | 0.420452i | ||||
\(157\) | −0.217263 | + | 0.376310i | −0.0173395 | + | 0.0300328i | −0.874565 | − | 0.484908i | \(-0.838853\pi\) |
0.857225 | + | 0.514941i | \(0.172186\pi\) | |||||||
\(158\) | −7.75049 | + | 3.45074i | −0.616596 | + | 0.274526i | ||||
\(159\) | −0.182354 | + | 0.0387606i | −0.0144616 | + | 0.00307392i | ||||
\(160\) | −0.828108 | − | 12.5069i | −0.0654677 | − | 0.988760i | ||||
\(161\) | −5.88107 | + | 0.569041i | −0.463493 | + | 0.0448467i | ||||
\(162\) | 1.01513 | − | 3.12425i | 0.0797561 | − | 0.245464i | ||||
\(163\) | −22.2288 | + | 4.72487i | −1.74109 | + | 0.370081i | −0.965348 | − | 0.260967i | \(-0.915959\pi\) |
−0.775744 | + | 0.631048i | \(0.782625\pi\) | |||||||
\(164\) | 12.3022 | + | 2.61491i | 0.960640 | + | 0.204190i | ||||
\(165\) | −4.82616 | − | 9.15822i | −0.375716 | − | 0.712966i | ||||
\(166\) | −4.49449 | + | 0.955333i | −0.348840 | + | 0.0741482i | ||||
\(167\) | −2.91579 | − | 2.11844i | −0.225630 | − | 0.163930i | 0.469227 | − | 0.883077i | \(-0.344533\pi\) |
−0.694857 | + | 0.719148i | \(0.744533\pi\) | |||||||
\(168\) | 9.52444 | − | 3.00791i | 0.734827 | − | 0.232065i | ||||
\(169\) | 1.73889 | + | 1.26338i | 0.133761 | + | 0.0971828i | ||||
\(170\) | −0.815788 | − | 2.88521i | −0.0625681 | − | 0.221286i | ||||
\(171\) | −0.656241 | − | 6.24372i | −0.0501840 | − | 0.477469i | ||||
\(172\) | −0.0860026 | − | 0.818260i | −0.00655763 | − | 0.0623917i | ||||
\(173\) | −5.08112 | + | 5.64315i | −0.386310 | + | 0.429041i | −0.904664 | − | 0.426125i | \(-0.859878\pi\) |
0.518354 | + | 0.855166i | \(0.326545\pi\) | |||||||
\(174\) | −11.2131 | −0.850062 | ||||||||
\(175\) | 11.9793 | − | 5.61223i | 0.905547 | − | 0.424245i | ||||
\(176\) | −0.388776 | −0.0293051 | ||||||||
\(177\) | 0.898806 | − | 0.998225i | 0.0675584 | − | 0.0750312i | ||||
\(178\) | −1.03189 | − | 9.81781i | −0.0773437 | − | 0.735876i | ||||
\(179\) | 2.60668 | + | 24.8009i | 0.194832 | + | 1.85370i | 0.457999 | + | 0.888953i | \(0.348566\pi\) |
−0.263167 | + | 0.964750i | \(0.584767\pi\) | |||||||
\(180\) | 2.65549 | + | 2.09056i | 0.197929 | + | 0.155821i | ||||
\(181\) | 19.6899 | + | 14.3055i | 1.46354 | + | 1.06332i | 0.982424 | + | 0.186663i | \(0.0597672\pi\) |
0.481113 | + | 0.876659i | \(0.340233\pi\) | |||||||
\(182\) | 1.67194 | − | 7.55824i | 0.123932 | − | 0.560254i | ||||
\(183\) | 2.33618 | + | 1.69733i | 0.172695 | + | 0.125470i | ||||
\(184\) | 6.23023 | − | 1.32428i | 0.459298 | − | 0.0976269i | ||||
\(185\) | 6.40798 | − | 6.58674i | 0.471124 | − | 0.484267i | ||||
\(186\) | 6.84738 | + | 1.45546i | 0.502074 | + | 0.106719i | ||||
\(187\) | 5.16482 | − | 1.09782i | 0.377689 | − | 0.0802803i | ||||
\(188\) | 1.15192 | − | 3.54524i | 0.0840122 | − | 0.258563i | ||||
\(189\) | −6.16289 | + | 13.5399i | −0.448284 | + | 0.984882i | ||||
\(190\) | 9.68536 | + | 2.45291i | 0.702650 | + | 0.177953i | ||||
\(191\) | −10.7146 | + | 2.27746i | −0.775283 | + | 0.164792i | −0.578530 | − | 0.815661i | \(-0.696373\pi\) |
−0.196754 | + | 0.980453i | \(0.563040\pi\) | |||||||
\(192\) | −6.28929 | + | 2.80017i | −0.453890 | + | 0.202085i | ||||
\(193\) | −5.68325 | + | 9.84368i | −0.409089 | + | 0.708563i | −0.994788 | − | 0.101966i | \(-0.967487\pi\) |
0.585699 | + | 0.810529i | \(0.300820\pi\) | |||||||
\(194\) | 1.49502 | − | 14.2241i | 0.107336 | − | 1.02123i | ||||
\(195\) | −9.05294 | + | 3.61874i | −0.648295 | + | 0.259144i | ||||
\(196\) | −8.32025 | + | 1.62532i | −0.594304 | + | 0.116094i | ||||
\(197\) | −14.0244 | + | 10.1893i | −0.999195 | + | 0.725957i | −0.961915 | − | 0.273348i | \(-0.911869\pi\) |
−0.0372792 | + | 0.999305i | \(0.511869\pi\) | |||||||
\(198\) | 2.59430 | − | 2.88127i | 0.184369 | − | 0.204763i | ||||
\(199\) | −0.258580 | + | 0.447874i | −0.0183303 | + | 0.0317489i | −0.875045 | − | 0.484042i | \(-0.839168\pi\) |
0.856715 | + | 0.515790i | \(0.172502\pi\) | |||||||
\(200\) | −12.1493 | + | 7.46733i | −0.859082 | + | 0.528020i | ||||
\(201\) | 8.15580 | + | 14.1263i | 0.575265 | + | 0.996389i | ||||
\(202\) | −1.62015 | − | 4.98631i | −0.113993 | − | 0.350836i | ||||
\(203\) | 25.0733 | + | 2.84494i | 1.75980 | + | 0.199676i | ||||
\(204\) | 1.95781 | − | 1.42243i | 0.137074 | − | 0.0995901i | ||||
\(205\) | −6.31816 | − | 22.3456i | −0.441279 | − | 1.56068i | ||||
\(206\) | 10.8872 | − | 4.84731i | 0.758549 | − | 0.337728i | ||||
\(207\) | −1.39353 | + | 2.41367i | −0.0968574 | + | 0.167762i | ||||
\(208\) | −0.0382724 | + | 0.364138i | −0.00265372 | + | 0.0252484i | ||||
\(209\) | −5.43712 | + | 16.7337i | −0.376094 | + | 1.15750i | ||||
\(210\) | −4.94511 | − | 4.89108i | −0.341245 | − | 0.337516i | ||||
\(211\) | 2.30280 | + | 7.08728i | 0.158531 | + | 0.487909i | 0.998502 | − | 0.0547235i | \(-0.0174277\pi\) |
−0.839970 | + | 0.542632i | \(0.817428\pi\) | |||||||
\(212\) | −0.166848 | + | 0.0354646i | −0.0114592 | + | 0.00243572i | ||||
\(213\) | −6.66821 | − | 7.40580i | −0.456898 | − | 0.507437i | ||||
\(214\) | −3.00143 | − | 0.637973i | −0.205173 | − | 0.0436109i | ||||
\(215\) | −1.26254 | + | 0.844817i | −0.0861044 | + | 0.0576160i | ||||
\(216\) | 4.95567 | − | 15.2520i | 0.337191 | − | 1.03777i | ||||
\(217\) | −14.9420 | − | 4.99180i | −1.01433 | − | 0.338866i | ||||
\(218\) | −1.68653 | −0.114226 | ||||||||
\(219\) | 1.43110 | − | 13.6160i | 0.0967046 | − | 0.920083i | ||||
\(220\) | −4.41576 | − | 8.37945i | −0.297711 | − | 0.564942i | ||||
\(221\) | −0.519802 | − | 4.94558i | −0.0349656 | − | 0.332676i | ||||
\(222\) | −4.41390 | − | 1.96519i | −0.296242 | − | 0.131895i | ||||
\(223\) | −4.03572 | − | 12.4207i | −0.270252 | − | 0.831750i | −0.990437 | − | 0.137968i | \(-0.955943\pi\) |
0.720185 | − | 0.693782i | \(-0.244057\pi\) | |||||||
\(224\) | 14.1423 | − | 4.46628i | 0.944924 | − | 0.298416i | ||||
\(225\) | 1.12899 | − | 6.13705i | 0.0752659 | − | 0.409137i | ||||
\(226\) | 8.51426 | + | 14.7471i | 0.566360 | + | 0.980964i | ||||
\(227\) | −8.73216 | − | 1.85608i | −0.579573 | − | 0.123192i | −0.0912088 | − | 0.995832i | \(-0.529073\pi\) |
−0.488365 | + | 0.872640i | \(0.662406\pi\) | |||||||
\(228\) | 0.842914 | + | 8.01979i | 0.0558233 | + | 0.531124i | ||||
\(229\) | 15.7535 | + | 7.01392i | 1.04102 | + | 0.463493i | 0.854769 | − | 0.519008i | \(-0.173699\pi\) |
0.186254 | + | 0.982502i | \(0.440365\pi\) | |||||||
\(230\) | −2.83845 | − | 3.40824i | −0.187162 | − | 0.224733i | ||||
\(231\) | 9.16996 | − | 8.12050i | 0.603339 | − | 0.534289i | ||||
\(232\) | −27.2025 | −1.78593 | ||||||||
\(233\) | −0.0326195 | + | 0.310354i | −0.00213698 | + | 0.0203320i | −0.995538 | − | 0.0943570i | \(-0.969920\pi\) |
0.993401 | + | 0.114689i | \(0.0365871\pi\) | |||||||
\(234\) | −2.44328 | − | 2.71354i | −0.159722 | − | 0.177390i | ||||
\(235\) | −6.78242 | + | 1.17008i | −0.442436 | + | 0.0763277i | ||||
\(236\) | 0.822376 | − | 0.913341i | 0.0535321 | − | 0.0594534i | ||||
\(237\) | −3.90687 | + | 12.0241i | −0.253779 | + | 0.781050i | ||||
\(238\) | 3.08692 | − | 1.74839i | 0.200095 | − | 0.113331i | ||||
\(239\) | 4.24656 | + | 13.0696i | 0.274687 | + | 0.845401i | 0.989302 | + | 0.145882i | \(0.0466021\pi\) |
−0.714615 | + | 0.699518i | \(0.753398\pi\) | |||||||
\(240\) | 0.258493 | + | 0.203500i | 0.0166856 | + | 0.0131359i | ||||
\(241\) | −4.13375 | − | 4.59100i | −0.266278 | − | 0.295732i | 0.595146 | − | 0.803617i | \(-0.297094\pi\) |
−0.861425 | + | 0.507885i | \(0.830427\pi\) | |||||||
\(242\) | −1.00087 | + | 0.445614i | −0.0643381 | + | 0.0286452i | ||||
\(243\) | 5.98648 | + | 10.3689i | 0.384033 | + | 0.665165i | ||||
\(244\) | 2.13752 | + | 1.55300i | 0.136841 | + | 0.0994206i | ||||
\(245\) | 9.81671 | + | 12.1915i | 0.627167 | + | 0.778885i | ||||
\(246\) | −9.87756 | + | 7.17647i | −0.629770 | + | 0.457555i | ||||
\(247\) | 15.1380 | + | 6.73989i | 0.963210 | + | 0.428849i | ||||
\(248\) | 16.6115 | + | 3.53088i | 1.05483 | + | 0.224211i | ||||
\(249\) | −3.42368 | + | 5.92999i | −0.216967 | + | 0.375798i | ||||
\(250\) | 8.54450 | + | 5.06037i | 0.540401 | + | 0.320046i | ||||
\(251\) | −22.8510 | −1.44234 | −0.721171 | − | 0.692757i | \(-0.756396\pi\) | ||||
−0.721171 | + | 0.692757i | \(0.756396\pi\) | |||||||
\(252\) | −1.65661 | + | 3.63958i | −0.104357 | + | 0.229272i | ||||
\(253\) | 6.31922 | − | 4.59118i | 0.397286 | − | 0.288645i | ||||
\(254\) | 5.18930 | + | 2.31042i | 0.325605 | + | 0.144969i | ||||
\(255\) | −4.00867 | − | 1.97354i | −0.251033 | − | 0.123588i | ||||
\(256\) | −14.8514 | + | 6.61227i | −0.928212 | + | 0.413267i | ||||
\(257\) | 13.3636 | + | 23.1465i | 0.833599 | + | 1.44384i | 0.895166 | + | 0.445733i | \(0.147057\pi\) |
−0.0615664 | + | 0.998103i | \(0.519610\pi\) | |||||||
\(258\) | 0.646172 | + | 0.469472i | 0.0402289 | + | 0.0292280i | ||||
\(259\) | 9.37122 | + | 5.51421i | 0.582299 | + | 0.342636i | ||||
\(260\) | −8.28312 | + | 3.31102i | −0.513697 | + | 0.205341i | ||||
\(261\) | 7.96468 | − | 8.84568i | 0.493002 | − | 0.547534i | ||||
\(262\) | −3.84284 | − | 4.26791i | −0.237411 | − | 0.263672i | ||||
\(263\) | 3.13652 | + | 3.48346i | 0.193406 | + | 0.214799i | 0.832046 | − | 0.554706i | \(-0.187169\pi\) |
−0.638640 | + | 0.769506i | \(0.720503\pi\) | |||||||
\(264\) | −8.83528 | + | 9.81257i | −0.543774 | + | 0.603922i | ||||
\(265\) | 0.201547 | + | 0.242006i | 0.0123810 | + | 0.0148663i | ||||
\(266\) | −0.0976687 | + | 11.8213i | −0.00598846 | + | 0.724809i | ||||
\(267\) | −11.9016 | − | 8.64703i | −0.728367 | − | 0.529190i | ||||
\(268\) | 7.46226 | + | 12.9250i | 0.455830 | + | 0.789521i | ||||
\(269\) | −3.21904 | + | 1.43321i | −0.196269 | + | 0.0873844i | −0.502517 | − | 0.864567i | \(-0.667593\pi\) |
0.306249 | + | 0.951952i | \(0.400926\pi\) | |||||||
\(270\) | −11.0049 | + | 1.89853i | −0.669737 | + | 0.115541i | ||||
\(271\) | 15.8109 | + | 7.03945i | 0.960442 | + | 0.427616i | 0.826228 | − | 0.563336i | \(-0.190482\pi\) |
0.134214 | + | 0.990952i | \(0.457149\pi\) | |||||||
\(272\) | −0.135756 | + | 0.0986322i | −0.00823139 | + | 0.00598046i | ||||
\(273\) | −6.70316 | − | 9.38825i | −0.405693 | − | 0.568202i | ||||
\(274\) | 6.27732 | 0.379227 | ||||||||
\(275\) | −9.88623 | + | 14.4256i | −0.596162 | + | 0.869899i | ||||
\(276\) | 1.78994 | − | 3.10026i | 0.107742 | − | 0.186614i | ||||
\(277\) | 16.9424 | + | 3.60122i | 1.01797 | + | 0.216376i | 0.686531 | − | 0.727100i | \(-0.259132\pi\) |
0.331439 | + | 0.943477i | \(0.392466\pi\) | |||||||
\(278\) | 0.725548 | + | 0.323035i | 0.0435155 | + | 0.0193743i | ||||
\(279\) | −6.01188 | + | 4.36788i | −0.359922 | + | 0.261498i | ||||
\(280\) | −11.9967 | − | 11.8656i | −0.716937 | − | 0.709103i | ||||
\(281\) | −7.84201 | − | 5.69756i | −0.467815 | − | 0.339888i | 0.328774 | − | 0.944409i | \(-0.393365\pi\) |
−0.796589 | + | 0.604521i | \(0.793365\pi\) | |||||||
\(282\) | 1.80935 | + | 3.13389i | 0.107745 | + | 0.186620i | ||||
\(283\) | 0.0619964 | − | 0.0276026i | 0.00368530 | − | 0.00164080i | −0.404893 | − | 0.914364i | \(-0.632691\pi\) |
0.408578 | + | 0.912723i | \(0.366025\pi\) | |||||||
\(284\) | −6.10118 | − | 6.77605i | −0.362038 | − | 0.402084i | ||||
\(285\) | 12.3742 | − | 8.28008i | 0.732983 | − | 0.490469i | ||||
\(286\) | 3.16230 | + | 9.73255i | 0.186991 | + | 0.575498i | ||||
\(287\) | 23.9078 | − | 13.5410i | 1.41123 | − | 0.799302i | ||||
\(288\) | 2.16180 | − | 6.65333i | 0.127385 | − | 0.392051i | ||||
\(289\) | −9.85025 | + | 10.9398i | −0.579426 | + | 0.643518i | ||||
\(290\) | 8.83119 | + | 16.7583i | 0.518586 | + | 0.984079i | ||||
\(291\) | −14.2617 | − | 15.8392i | −0.836034 | − | 0.928510i | ||||
\(292\) | 1.30940 | − | 12.4581i | 0.0766270 | − | 0.729057i | ||||
\(293\) | 4.92985 | 0.288005 | 0.144003 | − | 0.989577i | \(-0.454003\pi\) | ||||
0.144003 | + | 0.989577i | \(0.454003\pi\) | |||||||
\(294\) | 4.23204 | − | 7.05814i | 0.246817 | − | 0.411639i | ||||
\(295\) | −2.19976 | − | 0.557109i | −0.128075 | − | 0.0324361i | ||||
\(296\) | −10.7080 | − | 4.76749i | −0.622387 | − | 0.277105i | ||||
\(297\) | −2.05570 | − | 19.5587i | −0.119284 | − | 1.13491i | ||||
\(298\) | 17.6475 | + | 3.75108i | 1.02229 | + | 0.217294i | ||||
\(299\) | −3.67814 | − | 6.37072i | −0.212712 | − | 0.368428i | ||||
\(300\) | −1.45014 | + | 7.88278i | −0.0837237 | + | 0.455113i | ||||
\(301\) | −1.32578 | − | 1.21372i | −0.0764166 | − | 0.0699576i | ||||
\(302\) | 5.29143 | + | 16.2853i | 0.304487 | + | 0.937116i | ||||
\(303\) | −7.13759 | − | 3.17786i | −0.410044 | − | 0.182563i | ||||
\(304\) | −0.0584482 | − | 0.556097i | −0.00335223 | − | 0.0318944i | ||||
\(305\) | 0.696785 | − | 4.82827i | 0.0398978 | − | 0.276466i | ||||
\(306\) | 0.174922 | − | 1.66428i | 0.00999965 | − | 0.0951403i | ||||
\(307\) | 11.3117 | 0.645591 | 0.322796 | − | 0.946469i | \(-0.395377\pi\) | ||||
0.322796 | + | 0.946469i | \(0.395377\pi\) | |||||||
\(308\) | 8.39019 | − | 7.42997i | 0.478075 | − | 0.423362i | ||||
\(309\) | 5.48804 | − | 16.8905i | 0.312204 | − | 0.960865i | ||||
\(310\) | −3.21764 | − | 11.3799i | −0.182749 | − | 0.646334i | ||||
\(311\) | −5.11420 | − | 1.08706i | −0.290000 | − | 0.0616414i | 0.0606146 | − | 0.998161i | \(-0.480694\pi\) |
−0.350615 | + | 0.936520i | \(0.614027\pi\) | |||||||
\(312\) | 8.32095 | + | 9.24135i | 0.471081 | + | 0.523188i | ||||
\(313\) | −17.2821 | + | 3.67343i | −0.976844 | + | 0.207635i | −0.668559 | − | 0.743660i | \(-0.733088\pi\) |
−0.308285 | + | 0.951294i | \(0.599755\pi\) | |||||||
\(314\) | −0.119266 | − | 0.367063i | −0.00673056 | − | 0.0207145i | ||||
\(315\) | 7.37095 | − | 0.426911i | 0.415306 | − | 0.0240537i | ||||
\(316\) | −3.57465 | + | 11.0016i | −0.201090 | + | 0.618891i | ||||
\(317\) | −0.351732 | + | 3.34651i | −0.0197552 | + | 0.187959i | −0.999949 | − | 0.0100814i | \(-0.996791\pi\) |
0.980194 | + | 0.198040i | \(0.0634576\pi\) | |||||||
\(318\) | 0.0827942 | − | 0.143404i | 0.00464287 | − | 0.00804168i | ||||
\(319\) | −30.4751 | + | 13.5684i | −1.70628 | + | 0.759685i | ||||
\(320\) | 9.13824 | + | 7.19415i | 0.510843 | + | 0.402165i | ||||
\(321\) | −3.69938 | + | 2.68776i | −0.206479 | + | 0.150016i | ||||
\(322\) | 3.11970 | − | 4.22013i | 0.173854 | − | 0.235179i | ||||
\(323\) | 2.34677 | + | 7.22261i | 0.130578 | + | 0.401877i | ||||
\(324\) | −2.23955 | − | 3.87902i | −0.124420 | − | 0.215501i | ||||
\(325\) | 12.5382 | + | 10.6798i | 0.695495 | + | 0.592410i | ||||
\(326\) | 10.0925 | − | 17.4807i | 0.558973 | − | 0.968169i | ||||
\(327\) | −1.68172 | + | 1.86774i | −0.0929992 | + | 0.103286i | ||||
\(328\) | −23.9626 | + | 17.4098i | −1.32311 | + | 0.961297i | ||||
\(329\) | −3.25073 | − | 7.46667i | −0.179219 | − | 0.411651i | ||||
\(330\) | 8.91343 | + | 2.25741i | 0.490668 | + | 0.124266i | ||||
\(331\) | 0.0568604 | − | 0.540990i | 0.00312533 | − | 0.0297355i | −0.992848 | − | 0.119385i | \(-0.961908\pi\) |
0.995973 | + | 0.0896490i | \(0.0285745\pi\) | |||||||
\(332\) | −3.13255 | + | 5.42573i | −0.171921 | + | 0.297776i | ||||
\(333\) | 4.68549 | − | 2.08611i | 0.256763 | − | 0.114318i | ||||
\(334\) | 3.13127 | − | 0.665572i | 0.171335 | − | 0.0364185i | ||||
\(335\) | 14.6887 | − | 23.3146i | 0.802531 | − | 1.27381i | ||||
\(336\) | −0.161259 | + | 0.354286i | −0.00879739 | + | 0.0193279i | ||||
\(337\) | 7.22905 | − | 22.2487i | 0.393791 | − | 1.21196i | −0.536108 | − | 0.844150i | \(-0.680106\pi\) |
0.929899 | − | 0.367815i | \(-0.119894\pi\) | |||||||
\(338\) | −1.86740 | + | 0.396927i | −0.101573 | + | 0.0215900i | ||||
\(339\) | 24.8216 | + | 5.27599i | 1.34812 | + | 0.286552i | ||||
\(340\) | −3.66779 | − | 1.80572i | −0.198914 | − | 0.0979290i | ||||
\(341\) | 20.3711 | − | 4.33001i | 1.10316 | − | 0.234483i | ||||
\(342\) | 4.51133 | + | 3.27767i | 0.243945 | + | 0.177236i | ||||
\(343\) | −11.2539 | + | 14.7088i | −0.607655 | + | 0.794201i | ||||
\(344\) | 1.56759 | + | 1.13892i | 0.0845188 | + | 0.0614065i | ||||
\(345\) | −6.60478 | − | 0.255100i | −0.355589 | − | 0.0137341i | ||||
\(346\) | −0.705019 | − | 6.70781i | −0.0379021 | − | 0.360614i | ||||
\(347\) | −1.29657 | − | 12.3361i | −0.0696038 | − | 0.662235i | −0.972584 | − | 0.232553i | \(-0.925292\pi\) |
0.902980 | − | 0.429683i | \(-0.141375\pi\) | |||||||
\(348\) | −10.2303 | + | 11.3619i | −0.548402 | + | 0.609062i | ||||
\(349\) | 2.23368 | 0.119566 | 0.0597832 | − | 0.998211i | \(-0.480959\pi\) | ||||
0.0597832 | + | 0.998211i | \(0.480959\pi\) | |||||||
\(350\) | −3.41518 | + | 11.2427i | −0.182549 | + | 0.600948i | ||||
\(351\) | −18.5216 | −0.988610 | ||||||||
\(352\) | −13.1190 | + | 14.5702i | −0.699247 | + | 0.776592i | ||||
\(353\) | 0.411571 | + | 3.91583i | 0.0219057 | + | 0.208419i | 1.00000 | 0.000256331i | \(8.15926e-5\pi\) | |
−0.978094 | + | 0.208162i | \(0.933252\pi\) | |||||||
\(354\) | 0.124712 | + | 1.18655i | 0.00662836 | + | 0.0630647i | ||||
\(355\) | −5.81643 | + | 15.7985i | −0.308704 | + | 0.838496i | ||||
\(356\) | −10.8896 | − | 7.91172i | −0.577145 | − | 0.419321i | ||||
\(357\) | 1.14187 | − | 5.16199i | 0.0604341 | − | 0.273202i | ||||
\(358\) | −17.9196 | − | 13.0193i | −0.947080 | − | 0.688094i | ||||
\(359\) | −25.6062 | + | 5.44278i | −1.35145 | + | 0.287259i | −0.826049 | − | 0.563598i | \(-0.809417\pi\) |
−0.525397 | + | 0.850857i | \(0.676083\pi\) | |||||||
\(360\) | −7.84336 | + | 1.35311i | −0.413381 | + | 0.0713152i | ||||
\(361\) | −6.16823 | − | 1.31110i | −0.324643 | − | 0.0690051i | ||||
\(362\) | −21.1450 | + | 4.49451i | −1.11136 | + | 0.236226i | ||||
\(363\) | −0.504517 | + | 1.55274i | −0.0264803 | + | 0.0814979i | ||||
\(364\) | −6.13315 | − | 8.58991i | −0.321464 | − | 0.450234i | ||||
\(365\) | −21.4766 | + | 8.58485i | −1.12413 | + | 0.449351i | ||||
\(366\) | −2.50883 | + | 0.533268i | −0.131139 | + | 0.0278744i | ||||
\(367\) | 22.6461 | − | 10.0827i | 1.18212 | − | 0.526313i | 0.280925 | − | 0.959730i | \(-0.409359\pi\) |
0.901194 | + | 0.433417i | \(0.142692\pi\) | |||||||
\(368\) | −0.124115 | + | 0.214974i | −0.00646996 | + | 0.0112063i | ||||
\(369\) | 1.35475 | − | 12.8896i | 0.0705254 | − | 0.671005i | ||||
\(370\) | 0.539259 | + | 8.14444i | 0.0280347 | + | 0.423409i | ||||
\(371\) | −0.221518 | + | 0.299656i | −0.0115006 | + | 0.0155573i | ||||
\(372\) | 7.72200 | − | 5.61036i | 0.400367 | − | 0.290884i | ||||
\(373\) | 17.9833 | − | 19.9724i | 0.931139 | − | 1.03413i | −0.0681965 | − | 0.997672i | \(-0.521724\pi\) |
0.999335 | − | 0.0364622i | \(-0.0116088\pi\) | |||||||
\(374\) | −2.34498 | + | 4.06162i | −0.121256 | + | 0.210021i | ||||
\(375\) | 14.1242 | − | 4.41661i | 0.729370 | − | 0.228073i | ||||
\(376\) | 4.38942 | + | 7.60269i | 0.226367 | + | 0.392079i | ||||
\(377\) | 9.70846 | + | 29.8796i | 0.500011 | + | 1.53888i | ||||
\(378\) | −5.27451 | − | 12.1151i | −0.271292 | − | 0.623136i | ||||
\(379\) | 23.8531 | − | 17.3303i | 1.22525 | − | 0.890196i | 0.228724 | − | 0.973491i | \(-0.426545\pi\) |
0.996525 | + | 0.0832957i | \(0.0265446\pi\) | |||||||
\(380\) | 11.3219 | − | 7.57598i | 0.580803 | − | 0.388639i | ||||
\(381\) | 7.73315 | − | 3.44302i | 0.396181 | − | 0.176391i | ||||
\(382\) | 4.86475 | − | 8.42600i | 0.248902 | − | 0.431112i | ||||
\(383\) | 0.231551 | − | 2.20306i | 0.0118317 | − | 0.112571i | −0.987012 | − | 0.160646i | \(-0.948642\pi\) |
0.998844 | + | 0.0480754i | \(0.0153088\pi\) | |||||||
\(384\) | −2.69597 | + | 8.29736i | −0.137578 | + | 0.423423i | ||||
\(385\) | −19.3584 | − | 7.30922i | −0.986594 | − | 0.372512i | ||||
\(386\) | −3.11980 | − | 9.60177i | −0.158794 | − | 0.488717i | ||||
\(387\) | −0.829331 | + | 0.176280i | −0.0421572 | + | 0.00896080i | ||||
\(388\) | −13.0489 | − | 14.4923i | −0.662459 | − | 0.735735i | ||||
\(389\) | −5.98675 | − | 1.27252i | −0.303540 | − | 0.0645194i | 0.0536237 | − | 0.998561i | \(-0.482923\pi\) |
−0.357164 | + | 0.934042i | \(0.616256\pi\) | |||||||
\(390\) | 2.99182 | − | 8.12633i | 0.151497 | − | 0.411493i | ||||
\(391\) | 1.04181 | − | 3.20637i | 0.0526867 | − | 0.162153i | ||||
\(392\) | 10.2668 | − | 17.1228i | 0.518550 | − | 0.864831i | ||||
\(393\) | −8.55834 | −0.431711 | ||||||||
\(394\) | 1.60945 | − | 15.3129i | 0.0810831 | − | 0.771454i | ||||
\(395\) | 21.0473 | − | 3.63102i | 1.05901 | − | 0.182696i | ||||
\(396\) | −0.552582 | − | 5.25747i | −0.0277683 | − | 0.264198i | ||||
\(397\) | −0.876661 | − | 0.390315i | −0.0439983 | − | 0.0195893i | 0.384620 | − | 0.923075i | \(-0.374333\pi\) |
−0.428618 | + | 0.903486i | \(0.640999\pi\) | |||||||
\(398\) | −0.141947 | − | 0.436867i | −0.00711515 | − | 0.0218982i | ||||
\(399\) | 12.9940 | + | 11.8957i | 0.650514 | + | 0.595530i | ||||
\(400\) | 0.100553 | − | 0.546597i | 0.00502767 | − | 0.0273298i | ||||
\(401\) | 3.10446 | + | 5.37707i | 0.155029 | + | 0.268518i | 0.933070 | − | 0.359696i | \(-0.117120\pi\) |
−0.778041 | + | 0.628214i | \(0.783786\pi\) | |||||||
\(402\) | −14.1716 | − | 3.01227i | −0.706815 | − | 0.150238i | ||||
\(403\) | −2.05021 | − | 19.5064i | −0.102128 | − | 0.971683i | ||||
\(404\) | −6.53064 | − | 2.90763i | −0.324911 | − | 0.144660i | ||||
\(405\) | −4.40834 | + | 6.99711i | −0.219052 | + | 0.347689i | ||||
\(406\) | −16.7797 | + | 14.8594i | −0.832765 | + | 0.737458i | ||||
\(407\) | −14.3742 | −0.712501 | ||||||||
\(408\) | −0.595724 | + | 5.66794i | −0.0294927 | + | 0.280605i | ||||
\(409\) | −25.1477 | − | 27.9293i | −1.24347 | − | 1.38102i | −0.896440 | − | 0.443165i | \(-0.853856\pi\) |
−0.347033 | − | 0.937853i | \(-0.612811\pi\) | |||||||
\(410\) | 18.5048 | + | 9.11024i | 0.913886 | + | 0.449923i | ||||
\(411\) | 6.25940 | − | 6.95177i | 0.308754 | − | 0.342906i | ||||
\(412\) | 5.02137 | − | 15.4542i | 0.247385 | − | 0.761373i | ||||
\(413\) | 0.0221827 | − | 2.68487i | 0.00109154 | − | 0.132114i | ||||
\(414\) | −0.764977 | − | 2.35436i | −0.0375966 | − | 0.115710i | ||||
\(415\) | 11.5590 | + | 0.446448i | 0.567407 | + | 0.0219153i | ||||
\(416\) | 12.3553 | + | 13.7220i | 0.605770 | + | 0.672775i | ||||
\(417\) | 1.08122 | − | 0.481390i | 0.0529475 | − | 0.0235738i | ||||
\(418\) | −7.81403 | − | 13.5343i | −0.382197 | − | 0.661984i | ||||
\(419\) | −6.33236 | − | 4.60073i | −0.309356 | − | 0.224760i | 0.422264 | − | 0.906473i | \(-0.361235\pi\) |
−0.731620 | + | 0.681713i | \(0.761235\pi\) | |||||||
\(420\) | −9.46768 | + | 0.548350i | −0.461975 | + | 0.0267567i | ||||
\(421\) | 10.2646 | − | 7.45765i | 0.500265 | − | 0.363464i | −0.308853 | − | 0.951110i | \(-0.599945\pi\) |
0.809118 | + | 0.587646i | \(0.199945\pi\) | |||||||
\(422\) | −6.04675 | − | 2.69219i | −0.294351 | − | 0.131054i | ||||
\(423\) | −3.75742 | − | 0.798664i | −0.182692 | − | 0.0388324i | ||||
\(424\) | 0.200856 | − | 0.347892i | 0.00975441 | − | 0.0168951i | ||||
\(425\) | 0.207633 | + | 7.54539i | 0.0100717 | + | 0.366005i | ||||
\(426\) | 8.85150 | 0.428857 | ||||||||
\(427\) | 5.74523 | − | 0.555898i | 0.278031 | − | 0.0269018i | ||||
\(428\) | −3.38480 | + | 2.45920i | −0.163611 | + | 0.118870i | ||||
\(429\) | 13.9315 | + | 6.20271i | 0.672620 | + | 0.299470i | ||||
\(430\) | 0.192726 | − | 1.33547i | 0.00929409 | − | 0.0644020i | ||||
\(431\) | 18.0428 | − | 8.03315i | 0.869089 | − | 0.386943i | 0.0767689 | − | 0.997049i | \(-0.475540\pi\) |
0.792320 | + | 0.610105i | \(0.208873\pi\) | |||||||
\(432\) | 0.312497 | + | 0.541261i | 0.0150350 | + | 0.0260414i | ||||
\(433\) | 10.7560 | + | 7.81470i | 0.516901 | + | 0.375551i | 0.815435 | − | 0.578848i | \(-0.196498\pi\) |
−0.298534 | + | 0.954399i | \(0.596498\pi\) | |||||||
\(434\) | 12.1755 | − | 6.89602i | 0.584441 | − | 0.331019i | ||||
\(435\) | 27.3648 | + | 6.93039i | 1.31204 | + | 0.332287i | ||||
\(436\) | −1.53871 | + | 1.70891i | −0.0736910 | + | 0.0818421i | ||||
\(437\) | 7.51716 | + | 8.34865i | 0.359595 | + | 0.399370i | ||||
\(438\) | 8.13699 | + | 9.03704i | 0.388800 | + | 0.431807i | ||||
\(439\) | 16.5774 | − | 18.4111i | 0.791196 | − | 0.878713i | −0.203760 | − | 0.979021i | \(-0.565316\pi\) |
0.994956 | + | 0.100308i | \(0.0319829\pi\) | |||||||
\(440\) | 21.6236 | + | 5.47639i | 1.03087 | + | 0.261077i | ||||
\(441\) | 2.56194 | + | 8.35195i | 0.121997 | + | 0.397712i | ||||
\(442\) | 3.57338 | + | 2.59621i | 0.169968 | + | 0.123489i | ||||
\(443\) | −11.5941 | − | 20.0816i | −0.550852 | − | 0.954104i | −0.998213 | − | 0.0597508i | \(-0.980969\pi\) |
0.447361 | − | 0.894354i | \(-0.352364\pi\) | |||||||
\(444\) | −6.01831 | + | 2.67953i | −0.285616 | + | 0.127165i | ||||
\(445\) | −3.54976 | + | 24.5975i | −0.168275 | + | 1.16603i | ||||
\(446\) | 10.5971 | + | 4.71814i | 0.501788 | + | 0.223410i | ||||
\(447\) | 21.7512 | − | 15.8032i | 1.02880 | − | 0.747464i | ||||
\(448\) | −5.70083 | + | 12.5247i | −0.269339 | + | 0.591739i | ||||
\(449\) | 4.86545 | 0.229615 | 0.114807 | − | 0.993388i | \(-0.463375\pi\) | ||||
0.114807 | + | 0.993388i | \(0.463375\pi\) | |||||||
\(450\) | 3.37991 | + | 4.39266i | 0.159330 | + | 0.207072i | ||||
\(451\) | −18.1615 | + | 31.4567i | −0.855193 | + | 1.48124i | ||||
\(452\) | 22.7109 | + | 4.82734i | 1.06823 | + | 0.227059i | ||||
\(453\) | 23.3114 | + | 10.3789i | 1.09527 | + | 0.487644i | ||||
\(454\) | 6.41495 | − | 4.66073i | 0.301068 | − | 0.218739i | ||||
\(455\) | −8.75172 | + | 17.4120i | −0.410287 | + | 0.816289i | ||||
\(456\) | −15.3640 | − | 11.1626i | −0.719485 | − | 0.522737i | ||||
\(457\) | −3.24470 | − | 5.61998i | −0.151781 | − | 0.262892i | 0.780102 | − | 0.625653i | \(-0.215167\pi\) |
−0.931882 | + | 0.362761i | \(0.881834\pi\) | |||||||
\(458\) | −13.9925 | + | 6.22988i | −0.653828 | + | 0.291103i | ||||
\(459\) | −5.67987 | − | 6.30813i | −0.265113 | − | 0.294438i | ||||
\(460\) | −6.04314 | − | 0.233408i | −0.281763 | − | 0.0108827i | ||||
\(461\) | −1.33141 | − | 4.09765i | −0.0620099 | − | 0.190847i | 0.915252 | − | 0.402881i | \(-0.131991\pi\) |
−0.977262 | + | 0.212034i | \(0.931991\pi\) | |||||||
\(462\) | −0.0898845 | + | 10.8791i | −0.00418180 | + | 0.506142i | ||||
\(463\) | −10.1876 | + | 31.3543i | −0.473459 | + | 1.45716i | 0.374565 | + | 0.927201i | \(0.377792\pi\) |
−0.848024 | + | 0.529957i | \(0.822208\pi\) | |||||||
\(464\) | 0.709375 | − | 0.787841i | 0.0329319 | − | 0.0365746i | ||||
\(465\) | −15.8110 | − | 7.78406i | −0.733219 | − | 0.360977i | ||||
\(466\) | −0.185469 | − | 0.205985i | −0.00859170 | − | 0.00954205i | ||||
\(467\) | −1.62542 | + | 15.4648i | −0.0752153 | + | 0.715626i | 0.890317 | + | 0.455342i | \(0.150483\pi\) |
−0.965532 | + | 0.260284i | \(0.916184\pi\) | |||||||
\(468\) | −4.97868 | −0.230140 | ||||||||
\(469\) | 30.9245 | + | 10.3312i | 1.42796 | + | 0.477052i | ||||
\(470\) | 3.25867 | − | 5.17231i | 0.150311 | − | 0.238581i | ||||
\(471\) | −0.525427 | − | 0.233935i | −0.0242104 | − | 0.0107792i | ||||
\(472\) | 0.302546 | + | 2.87854i | 0.0139258 | + | 0.132495i | ||||
\(473\) | 2.32426 | + | 0.494038i | 0.106870 | + | 0.0227159i | ||||
\(474\) | −5.61481 | − | 9.72514i | −0.257897 | − | 0.446690i | ||||
\(475\) | −22.1204 | − | 11.9723i | −1.01496 | − | 0.549328i | ||||
\(476\) | 1.04477 | − | 4.72304i | 0.0478870 | − | 0.216480i | ||||
\(477\) | 0.0543181 | + | 0.167174i | 0.00248706 | + | 0.00765437i | ||||
\(478\) | −11.1507 | − | 4.96463i | −0.510023 | − | 0.227077i | ||||
\(479\) | −1.50552 | − | 14.3241i | −0.0687889 | − | 0.654483i | −0.973536 | − | 0.228534i | \(-0.926607\pi\) |
0.904747 | − | 0.425949i | \(-0.140060\pi\) | |||||||
\(480\) | 16.3493 | − | 2.82052i | 0.746239 | − | 0.128739i | ||||
\(481\) | −1.41504 | + | 13.4632i | −0.0645204 | + | 0.613871i | ||||
\(482\) | 5.48721 | 0.249936 | ||||||||
\(483\) | −1.56276 | − | 7.66298i | −0.0711080 | − | 0.348678i | ||||
\(484\) | −0.461615 | + | 1.42071i | −0.0209825 | + | 0.0645775i | ||||
\(485\) | −12.4399 | + | 33.7891i | −0.564867 | + | 1.53428i | ||||
\(486\) | −10.4022 | − | 2.21105i | −0.471852 | − | 0.100295i | ||||
\(487\) | 2.55299 | + | 2.83538i | 0.115687 | + | 0.128483i | 0.798206 | − | 0.602384i | \(-0.205782\pi\) |
−0.682519 | + | 0.730867i | \(0.739116\pi\) | |||||||
\(488\) | −6.08632 | + | 1.29369i | −0.275515 | + | 0.0585625i | ||||
\(489\) | −9.29522 | − | 28.6077i | −0.420344 | − | 1.29369i | ||||
\(490\) | −13.8816 | − | 0.766047i | −0.627109 | − | 0.0346065i | ||||
\(491\) | −1.99140 | + | 6.12889i | −0.0898705 | + | 0.276593i | −0.985883 | − | 0.167436i | \(-0.946451\pi\) |
0.896012 | + | 0.444029i | \(0.146451\pi\) | |||||||
\(492\) | −1.74012 | + | 16.5561i | −0.0784506 | + | 0.746408i | ||||
\(493\) | −7.19924 | + | 12.4694i | −0.324237 | + | 0.561596i | ||||
\(494\) | −13.4458 | + | 5.98647i | −0.604956 | + | 0.269344i | ||||
\(495\) | −8.11204 | + | 5.42810i | −0.364609 | + | 0.243975i | ||||
\(496\) | −0.535448 | + | 0.389026i | −0.0240423 | + | 0.0174678i | ||||
\(497\) | −19.7926 | − | 2.24577i | −0.887821 | − | 0.100737i | ||||
\(498\) | −1.87942 | − | 5.78427i | −0.0842189 | − | 0.259199i | ||||
\(499\) | −5.82680 | − | 10.0923i | −0.260844 | − | 0.451794i | 0.705623 | − | 0.708588i | \(-0.250667\pi\) |
−0.966466 | + | 0.256793i | \(0.917334\pi\) | |||||||
\(500\) | 12.9231 | − | 4.04105i | 0.577940 | − | 0.180721i | ||||
\(501\) | 2.38525 | − | 4.13138i | 0.106565 | − | 0.184576i | ||||
\(502\) | 13.5811 | − | 15.0833i | 0.606153 | − | 0.673202i | ||||
\(503\) | −23.4336 | + | 17.0255i | −1.04485 | + | 0.759130i | −0.971227 | − | 0.238156i | \(-0.923457\pi\) |
−0.0736253 | + | 0.997286i | \(0.523457\pi\) | |||||||
\(504\) | −3.75922 | − | 8.63464i | −0.167449 | − | 0.384618i | ||||
\(505\) | 0.872019 | + | 13.1701i | 0.0388043 | + | 0.586063i | ||||
\(506\) | −0.725201 | + | 6.89983i | −0.0322391 | + | 0.306735i | ||||
\(507\) | −1.42249 | + | 2.46383i | −0.0631751 | + | 0.109423i | ||||
\(508\) | 7.07556 | − | 3.15024i | 0.313927 | − | 0.139769i | ||||
\(509\) | 3.27045 | − | 0.695156i | 0.144960 | − | 0.0308122i | −0.134860 | − | 0.990865i | \(-0.543058\pi\) |
0.279820 | + | 0.960052i | \(0.409725\pi\) | |||||||
\(510\) | 3.68516 | − | 1.47307i | 0.163182 | − | 0.0652288i | ||||
\(511\) | −15.9021 | − | 22.2720i | −0.703467 | − | 0.985256i | ||||
\(512\) | 0.388473 | − | 1.19560i | 0.0171682 | − | 0.0528384i | ||||
\(513\) | 27.6674 | − | 5.88088i | 1.22154 | − | 0.259647i | ||||
\(514\) | −23.2208 | − | 4.93573i | −1.02422 | − | 0.217706i | ||||
\(515\) | −29.5655 | + | 5.10055i | −1.30281 | + | 0.224757i | ||||
\(516\) | 1.06524 | − | 0.226424i | 0.0468946 | − | 0.00996775i | ||||
\(517\) | 8.70965 | + | 6.32793i | 0.383050 | + | 0.278302i | ||||
\(518\) | −9.20939 | + | 2.90842i | −0.404637 | + | 0.127788i | ||||
\(519\) | −8.13153 | − | 5.90790i | −0.356934 | − | 0.259328i | ||||
\(520\) | 7.25804 | − | 19.7142i | 0.318286 | − | 0.864524i | ||||
\(521\) | 4.04349 | + | 38.4712i | 0.177148 | + | 1.68545i | 0.616670 | + | 0.787222i | \(0.288481\pi\) |
−0.439522 | + | 0.898232i | \(0.644852\pi\) | |||||||
\(522\) | 1.10512 | + | 10.5145i | 0.0483699 | + | 0.460209i | ||||
\(523\) | −25.3674 | + | 28.1733i | −1.10924 | + | 1.23193i | −0.138867 | + | 0.990311i | \(0.544346\pi\) |
−0.970370 | + | 0.241622i | \(0.922321\pi\) | |||||||
\(524\) | −7.83058 | −0.342080 | ||||||||
\(525\) | 9.04524 | + | 14.9927i | 0.394766 | + | 0.654337i | ||||
\(526\) | −4.16347 | −0.181536 | ||||||||
\(527\) | 6.01482 | − | 6.68013i | 0.262009 | − | 0.290991i | ||||
\(528\) | −0.0537898 | − | 0.511776i | −0.00234090 | − | 0.0222722i | ||||
\(529\) | 1.88284 | + | 17.9141i | 0.0818628 | + | 0.778872i | ||||
\(530\) | −0.279528 | − | 0.0107964i | −0.0121419 | − | 0.000468964i | ||||
\(531\) | −1.02462 | − | 0.744431i | −0.0444648 | − | 0.0323056i | ||||
\(532\) | 11.8891 | + | 10.8841i | 0.515456 | + | 0.471888i | ||||
\(533\) | 27.6753 | + | 20.1073i | 1.19875 | + | 0.870943i | ||||
\(534\) | 12.7812 | − | 2.71672i | 0.553096 | − | 0.117564i | ||||
\(535\) | 6.93048 | + | 3.41200i | 0.299631 | + | 0.147514i | ||||
\(536\) | −34.3798 | − | 7.30765i | −1.48498 | − | 0.315642i | ||||
\(537\) | −32.2866 | + | 6.86274i | −1.39327 | + | 0.296149i | ||||
\(538\) | 0.967158 | − | 2.97661i | 0.0416971 | − | 0.128331i | ||||
\(539\) | 2.96120 | − | 24.3037i | 0.127548 | − | 1.04684i | ||||
\(540\) | −8.11664 | + | 12.8831i | −0.349284 | + | 0.554400i | ||||
\(541\) | 14.3706 | − | 3.05457i | 0.617842 | − | 0.131326i | 0.111650 | − | 0.993748i | \(-0.464386\pi\) |
0.506191 | + | 0.862421i | \(0.331053\pi\) | |||||||
\(542\) | −14.0435 | + | 6.25255i | −0.603218 | + | 0.268570i | ||||
\(543\) | −16.1073 | + | 27.8986i | −0.691228 | + | 1.19724i | ||||
\(544\) | −0.884558 | + | 8.41601i | −0.0379251 | + | 0.360833i | ||||
\(545\) | 4.11587 | + | 1.04238i | 0.176304 | + | 0.0446508i | ||||
\(546\) | 10.1808 | + | 1.15517i | 0.435699 | + | 0.0494365i | ||||
\(547\) | 14.1586 | − | 10.2869i | 0.605380 | − | 0.439834i | −0.242405 | − | 0.970175i | \(-0.577936\pi\) |
0.847784 | + | 0.530341i | \(0.177936\pi\) | |||||||
\(548\) | 5.72713 | − | 6.36062i | 0.244651 | − | 0.271712i | ||||
\(549\) | 1.36135 | − | 2.35792i | 0.0581009 | − | 0.100634i | ||||
\(550\) | −3.64627 | − | 15.0992i | −0.155478 | − | 0.643834i | ||||
\(551\) | −23.9896 | − | 41.5512i | −1.02199 | − | 1.77014i | ||||
\(552\) | 2.60524 | + | 8.01811i | 0.110886 | + | 0.341273i | ||||
\(553\) | 10.0877 | + | 23.1707i | 0.428974 | + | 0.985320i | ||||
\(554\) | −12.4465 | + | 9.04290i | −0.528800 | + | 0.384196i | ||||
\(555\) | 9.55722 | + | 7.52400i | 0.405682 | + | 0.319376i | ||||
\(556\) | 0.989278 | − | 0.440455i | 0.0419547 | − | 0.0186794i | ||||
\(557\) | −1.28318 | + | 2.22253i | −0.0543700 | + | 0.0941717i | −0.891929 | − | 0.452175i | \(-0.850648\pi\) |
0.837559 | + | 0.546346i | \(0.183982\pi\) | |||||||
\(558\) | 0.689930 | − | 6.56425i | 0.0292071 | − | 0.277887i | ||||
\(559\) | 0.691538 | − | 2.12833i | 0.0292489 | − | 0.0900190i | ||||
\(560\) | 0.656495 | − | 0.0380229i | 0.0277420 | − | 0.00160676i | ||||
\(561\) | 2.15973 | + | 6.64696i | 0.0911838 | + | 0.280635i | ||||
\(562\) | 8.42156 | − | 1.79006i | 0.355242 | − | 0.0755090i | ||||
\(563\) | 15.9709 | + | 17.7374i | 0.673092 | + | 0.747544i | 0.978853 | − | 0.204564i | \(-0.0655777\pi\) |
−0.305762 | + | 0.952108i | \(0.598911\pi\) | |||||||
\(564\) | 4.82624 | + | 1.02585i | 0.203222 | + | 0.0431961i | ||||
\(565\) | −11.6638 | − | 41.2518i | −0.490701 | − | 1.73547i | ||||
\(566\) | −0.0186267 | + | 0.0573272i | −0.000782941 | + | 0.00240964i | ||||
\(567\) | −9.28098 | − | 3.10058i | −0.389765 | − | 0.130212i | ||||
\(568\) | 21.4734 | 0.901004 | ||||||||
\(569\) | −4.54072 | + | 43.2020i | −0.190357 | + | 1.81112i | 0.315956 | + | 0.948774i | \(0.397675\pi\) |
−0.506313 | + | 0.862350i | \(0.668992\pi\) | |||||||
\(570\) | −1.88892 | + | 13.0890i | −0.0791180 | + | 0.548237i | ||||
\(571\) | −2.69589 | − | 25.6497i | −0.112820 | − | 1.07341i | −0.893681 | − | 0.448703i | \(-0.851886\pi\) |
0.780861 | − | 0.624705i | \(-0.214781\pi\) | |||||||
\(572\) | 12.7468 | + | 5.67526i | 0.532972 | + | 0.237295i | ||||
\(573\) | −4.48045 | − | 13.7894i | −0.187173 | − | 0.576060i | ||||
\(574\) | −5.27109 | + | 23.8287i | −0.220011 | + | 0.994592i | ||||
\(575\) | 4.82053 | + | 10.0719i | 0.201030 | + | 0.420029i | ||||
\(576\) | 3.24558 | + | 5.62150i | 0.135232 | + | 0.234229i | ||||
\(577\) | 2.16391 | + | 0.459952i | 0.0900846 | + | 0.0191481i | 0.252733 | − | 0.967536i | \(-0.418670\pi\) |
−0.162649 | + | 0.986684i | \(0.552004\pi\) | |||||||
\(578\) | −1.36675 | − | 13.0038i | −0.0568493 | − | 0.540885i | ||||
\(579\) | −13.7443 | − | 6.11936i | −0.571194 | − | 0.254312i | ||||
\(580\) | 25.0378 | + | 6.34107i | 1.03964 | + | 0.263298i | ||||
\(581\) | 2.73497 | + | 13.4109i | 0.113466 | + | 0.556378i | ||||
\(582\) | 18.9312 | 0.784723 | ||||||||
\(583\) | 0.0514938 | − | 0.489931i | 0.00213265 | − | 0.0202909i | ||||
\(584\) | 19.7400 | + | 21.9235i | 0.816848 | + | 0.907202i | ||||
\(585\) | 4.28553 | + | 8.13231i | 0.177185 | + | 0.336230i | ||||
\(586\) | −2.92997 | + | 3.25406i | −0.121036 | + | 0.134424i | ||||
\(587\) | 9.69149 | − | 29.8273i | 0.400010 | − | 1.23111i | −0.524980 | − | 0.851115i | \(-0.675927\pi\) |
0.924990 | − | 0.379991i | \(-0.124073\pi\) | |||||||
\(588\) | −3.29070 | − | 10.7277i | −0.135706 | − | 0.442404i | ||||
\(589\) | 9.25614 | + | 28.4875i | 0.381393 | + | 1.17381i | ||||
\(590\) | 1.67512 | − | 1.12089i | 0.0689635 | − | 0.0461464i | ||||
\(591\) | −15.3533 | − | 17.0516i | −0.631552 | − | 0.701409i | ||||
\(592\) | 0.417313 | − | 0.185800i | 0.0171515 | − | 0.00763633i | ||||
\(593\) | −15.5893 | − | 27.0014i | −0.640175 | − | 1.10881i | −0.985394 | − | 0.170293i | \(-0.945529\pi\) |
0.345219 | − | 0.938522i | \(-0.387805\pi\) | |||||||
\(594\) | 14.1319 | + | 10.2675i | 0.579841 | + | 0.421279i | ||||
\(595\) | −8.61405 | + | 2.35892i | −0.353142 | + | 0.0967064i | ||||
\(596\) | 19.9016 | − | 14.4593i | 0.815201 | − | 0.592278i | ||||
\(597\) | −0.625348 | − | 0.278423i | −0.0255938 | − | 0.0113951i | ||||
\(598\) | 6.39118 | + | 1.35849i | 0.261355 | + | 0.0555526i | ||||
\(599\) | 21.6143 | − | 37.4371i | 0.883137 | − | 1.52964i | 0.0353023 | − | 0.999377i | \(-0.488761\pi\) |
0.847834 | − | 0.530261i | \(-0.177906\pi\) | |||||||
\(600\) | −11.5108 | − | 14.9598i | −0.469925 | − | 0.610733i | ||||
\(601\) | −40.2989 | −1.64383 | −0.821913 | − | 0.569613i | \(-0.807093\pi\) | ||||
−0.821913 | + | 0.569613i | \(0.807093\pi\) | |||||||
\(602\) | 1.58910 | − | 0.153758i | 0.0647667 | − | 0.00626670i | ||||
\(603\) | 12.4424 | − | 9.03994i | 0.506694 | − | 0.368135i | ||||
\(604\) | 21.3291 | + | 9.49633i | 0.867869 | + | 0.386400i | ||||
\(605\) | 2.71797 | − | 0.468894i | 0.110501 | − | 0.0190633i | ||||
\(606\) | 6.33971 | − | 2.82262i | 0.257533 | − | 0.114661i | ||||
\(607\) | −13.4384 | − | 23.2760i | −0.545448 | − | 0.944743i | −0.998579 | − | 0.0532991i | \(-0.983026\pi\) |
0.453131 | − | 0.891444i | \(-0.350307\pi\) | |||||||
\(608\) | −22.8132 | − | 16.5747i | −0.925196 | − | 0.672194i | ||||
\(609\) | −0.275951 | + | 33.3996i | −0.0111821 | + | 1.35342i | ||||
\(610\) | 2.77288 | + | 3.32952i | 0.112271 | + | 0.134808i | ||||
\(611\) | 6.78432 | − | 7.53475i | 0.274464 | − | 0.304823i | ||||
\(612\) | −1.52677 | − | 1.69565i | −0.0617161 | − | 0.0685427i | ||||
\(613\) | 20.3078 | + | 22.5541i | 0.820224 | + | 0.910951i | 0.997314 | − | 0.0732439i | \(-0.0233351\pi\) |
−0.177090 | + | 0.984195i | \(0.556668\pi\) | |||||||
\(614\) | −6.72289 | + | 7.46652i | −0.271314 | + | 0.301324i | ||||
\(615\) | 28.5411 | − | 11.4087i | 1.15089 | − | 0.460045i | ||||
\(616\) | −0.218056 | + | 26.3923i | −0.00878574 | + | 1.06338i | ||||
\(617\) | 16.9090 | + | 12.2851i | 0.680732 | + | 0.494581i | 0.873601 | − | 0.486644i | \(-0.161779\pi\) |
−0.192868 | + | 0.981225i | \(0.561779\pi\) | |||||||
\(618\) | 7.88721 | + | 13.6611i | 0.317270 | + | 0.549528i | ||||
\(619\) | 6.34875 | − | 2.82665i | 0.255178 | − | 0.113613i | −0.275161 | − | 0.961398i | \(-0.588731\pi\) |
0.530339 | + | 0.847786i | \(0.322065\pi\) | |||||||
\(620\) | −14.4665 | − | 7.12214i | −0.580990 | − | 0.286032i | ||||
\(621\) | −11.4713 | − | 5.10735i | −0.460327 | − | 0.204951i | ||||
\(622\) | 3.75707 | − | 2.72967i | 0.150645 | − | 0.109450i | ||||
\(623\) | −29.2690 | + | 2.83201i | −1.17264 | + | 0.113462i | ||||
\(624\) | −0.484638 | −0.0194011 | ||||||||
\(625\) | −17.7247 | − | 17.6305i | −0.708987 | − | 0.705222i | ||||
\(626\) | 7.84659 | − | 13.5907i | 0.313613 | − | 0.543193i | ||||
\(627\) | −22.7802 | − | 4.84208i | −0.909753 | − | 0.193374i | ||||
\(628\) | −0.480747 | − | 0.214042i | −0.0191839 | − | 0.00854121i | ||||
\(629\) | −5.01928 | + | 3.64672i | −0.200132 | + | 0.145404i | ||||
\(630\) | −4.09900 | + | 5.11909i | −0.163308 | + | 0.203950i | ||||
\(631\) | 15.6955 | + | 11.4035i | 0.624829 | + | 0.453965i | 0.854605 | − | 0.519279i | \(-0.173799\pi\) |
−0.229776 | + | 0.973244i | \(0.573799\pi\) | |||||||
\(632\) | −13.6213 | − | 23.5928i | −0.541827 | − | 0.938472i | ||||
\(633\) | −9.01094 | + | 4.01193i | −0.358153 | + | 0.159460i | ||||
\(634\) | −1.99989 | − | 2.22111i | −0.0794259 | − | 0.0882114i | ||||
\(635\) | −11.2362 | − | 8.84575i | −0.445893 | − | 0.351033i | ||||
\(636\) | −0.0697693 | − | 0.214728i | −0.00276653 | − | 0.00851452i | ||||
\(637\) | −22.4720 | − | 5.16608i | −0.890374 | − | 0.204688i | ||||
\(638\) | 9.15622 | − | 28.1799i | 0.362498 | − | 1.11565i | ||||
\(639\) | −6.28724 | + | 6.98269i | −0.248719 | + | 0.276231i | ||||
\(640\) | 14.5239 | − | 2.50562i | 0.574108 | − | 0.0990432i | ||||
\(641\) | 8.08509 | + | 8.97940i | 0.319342 | + | 0.354665i | 0.881348 | − | 0.472468i | \(-0.156637\pi\) |
−0.562006 | + | 0.827133i | \(0.689970\pi\) | |||||||
\(642\) | 0.424545 | − | 4.03928i | 0.0167555 | − | 0.159418i | ||||
\(643\) | 45.2261 | 1.78354 | 0.891771 | − | 0.452487i | \(-0.149463\pi\) | ||||
0.891771 | + | 0.452487i | \(0.149463\pi\) | |||||||
\(644\) | −1.42987 | − | 7.01136i | −0.0563448 | − | 0.276286i | ||||
\(645\) | −1.28678 | − | 1.54509i | −0.0506669 | − | 0.0608379i | ||||
\(646\) | −6.16221 | − | 2.74359i | −0.242449 | − | 0.107945i | ||||
\(647\) | 0.773360 | + | 7.35803i | 0.0304039 | + | 0.289274i | 0.999150 | + | 0.0412199i | \(0.0131244\pi\) |
−0.968746 | + | 0.248054i | \(0.920209\pi\) | |||||||
\(648\) | 10.3180 | + | 2.19315i | 0.405328 | + | 0.0861550i | ||||
\(649\) | 1.77474 | + | 3.07393i | 0.0696645 | + | 0.120662i | ||||
\(650\) | −14.5013 | + | 1.92877i | −0.568789 | + | 0.0756528i | ||||
\(651\) | 4.50377 | − | 20.3600i | 0.176517 | − | 0.797970i | ||||
\(652\) | −8.50480 | − | 26.1751i | −0.333074 | − | 1.02510i | ||||
\(653\) | −0.0100492 | − | 0.00447421i | −0.000393257 | − | 0.000175089i | 0.406540 | − | 0.913633i | \(-0.366735\pi\) |
−0.406933 | + | 0.913458i | \(0.633402\pi\) | |||||||
\(654\) | −0.233343 | − | 2.22011i | −0.00912444 | − | 0.0868132i | ||||
\(655\) | 6.74037 | + | 12.7907i | 0.263368 | + | 0.499773i | ||||
\(656\) | 0.120661 | − | 1.14801i | 0.00471102 | − | 0.0448223i | ||||
\(657\) | −12.9088 | −0.503620 | ||||||||
\(658\) | 6.86056 | + | 2.29197i | 0.267452 | + | 0.0893502i | ||||
\(659\) | 13.2465 | − | 40.7685i | 0.516009 | − | 1.58811i | −0.265428 | − | 0.964131i | \(-0.585513\pi\) |
0.781438 | − | 0.623983i | \(-0.214487\pi\) | |||||||
\(660\) | 10.4196 | − | 6.97217i | 0.405581 | − | 0.271391i | ||||
\(661\) | 26.7903 | + | 5.69445i | 1.04202 | + | 0.221488i | 0.696974 | − | 0.717097i | \(-0.254530\pi\) |
0.345047 | + | 0.938585i | \(0.387863\pi\) | |||||||
\(662\) | 0.323299 | + | 0.359060i | 0.0125654 | + | 0.0139553i | ||||
\(663\) | 6.43834 | − | 1.36851i | 0.250044 | − | 0.0531485i | ||||
\(664\) | −4.55941 | − | 14.0324i | −0.176939 | − | 0.544563i | ||||
\(665\) | 7.54465 | − | 28.7887i | 0.292569 | − | 1.11638i | ||||
\(666\) | −1.40775 | + | 4.33261i | −0.0545492 | + | 0.167885i | ||||
\(667\) | −2.22642 | + | 21.1829i | −0.0862071 | + | 0.820206i | ||||
\(668\) | 2.18242 | − | 3.78006i | 0.0844404 | − | 0.146255i | ||||
\(669\) | 15.7919 | − | 7.03102i | 0.610551 | − | 0.271835i | ||||
\(670\) | 6.65934 | + | 23.5522i | 0.257273 | + | 0.909903i | ||||
\(671\) | −6.17326 | + | 4.48514i | −0.238316 | + | 0.173147i | ||||
\(672\) | 7.83601 | + | 17.9987i | 0.302280 | + | 0.694315i | ||||
\(673\) | −5.91243 | − | 18.1966i | −0.227907 | − | 0.701427i | −0.997983 | − | 0.0634746i | \(-0.979782\pi\) |
0.770076 | − | 0.637952i | \(-0.220218\pi\) | |||||||
\(674\) | 10.3893 | + | 17.9948i | 0.400181 | + | 0.693135i | ||||
\(675\) | 28.0302 | + | 2.16849i | 1.07888 | + | 0.0834651i | ||||
\(676\) | −1.30153 | + | 2.25432i | −0.0500589 | + | 0.0867045i | ||||
\(677\) | 12.3882 | − | 13.7585i | 0.476118 | − | 0.528782i | −0.456464 | − | 0.889742i | \(-0.650884\pi\) |
0.932581 | + | 0.360960i | \(0.117551\pi\) | |||||||
\(678\) | −18.2348 | + | 13.2483i | −0.700303 | + | 0.508800i | ||||
\(679\) | −42.3316 | − | 4.80315i | −1.62454 | − | 0.184328i | ||||
\(680\) | 8.94006 | − | 3.57362i | 0.342836 | − | 0.137042i | ||||
\(681\) | 1.23514 | − | 11.7516i | 0.0473308 | − | 0.450323i | ||||
\(682\) | −9.24908 | + | 16.0199i | −0.354166 | + | 0.613433i | ||||
\(683\) | −26.5965 | + | 11.8415i | −1.01769 | + | 0.453104i | −0.846644 | − | 0.532160i | \(-0.821381\pi\) |
−0.171044 | + | 0.985263i | \(0.554714\pi\) | |||||||
\(684\) | 7.43710 | − | 1.58081i | 0.284365 | − | 0.0604436i | ||||
\(685\) | −15.3194 | − | 3.87978i | −0.585324 | − | 0.148239i | ||||
\(686\) | −3.02032 | − | 16.1703i | −0.115316 | − | 0.617386i | ||||
\(687\) | −7.05337 | + | 21.7080i | −0.269103 | + | 0.828213i | ||||
\(688\) | −0.0738644 | + | 0.0157004i | −0.00281605 | + | 0.000598571i | ||||
\(689\) | −0.453813 | − | 0.0964610i | −0.0172889 | − | 0.00367487i | ||||
\(690\) | 4.09382 | − | 4.20802i | 0.155849 | − | 0.160197i | ||||
\(691\) | −12.0745 | + | 2.56650i | −0.459334 | + | 0.0976344i | −0.431766 | − | 0.901985i | \(-0.642109\pi\) |
−0.0275676 | + | 0.999620i | \(0.508776\pi\) | |||||||
\(692\) | −7.44006 | − | 5.40552i | −0.282829 | − | 0.205487i | ||||
\(693\) | −8.51837 | − | 7.79837i | −0.323586 | − | 0.296235i | ||||
\(694\) | 8.91330 | + | 6.47589i | 0.338344 | + | 0.245822i | ||||
\(695\) | −1.57100 | − | 1.23678i | −0.0595913 | − | 0.0469137i | ||||
\(696\) | −3.76366 | − | 35.8088i | −0.142661 | − | 1.35733i | ||||
\(697\) | 1.63877 | + | 15.5919i | 0.0620728 | + | 0.590584i | ||||
\(698\) | −1.32755 | + | 1.47439i | −0.0502485 | + | 0.0558066i | ||||
\(699\) | −0.413056 | −0.0156232 | ||||||||
\(700\) | 8.27607 | + | 13.7178i | 0.312806 | + | 0.518485i | ||||
\(701\) | 21.5378 | 0.813471 | 0.406735 | − | 0.913546i | \(-0.366667\pi\) | ||||
0.406735 | + | 0.913546i | \(0.366667\pi\) | |||||||
\(702\) | 11.0080 | − | 12.2256i | 0.415470 | − | 0.461426i | ||||
\(703\) | −2.16100 | − | 20.5605i | −0.0815036 | − | 0.775455i | ||||
\(704\) | −1.90158 | − | 18.0923i | −0.0716684 | − | 0.681880i | ||||
\(705\) | −2.47866 | − | 8.76634i | −0.0933519 | − | 0.330160i | ||||
\(706\) | −2.82934 | − | 2.05564i | −0.106484 | − | 0.0773650i | ||||
\(707\) | −14.8922 | + | 4.70311i | −0.560080 | + | 0.176879i | ||||
\(708\) | 1.31608 | + | 0.956190i | 0.0494614 | + | 0.0359358i | ||||
\(709\) | 9.92480 | − | 2.10958i | 0.372734 | − | 0.0792270i | −0.0177361 | − | 0.999843i | \(-0.505646\pi\) |
0.390470 | + | 0.920616i | \(0.372313\pi\) | |||||||
\(710\) | −6.97126 | − | 13.2288i | −0.261627 | − | 0.496468i | ||||
\(711\) | 11.6601 | + | 2.47843i | 0.437288 | + | 0.0929484i | ||||
\(712\) | 31.0067 | − | 6.59067i | 1.16202 | − | 0.246996i | ||||
\(713\) | 4.10912 | − | 12.6466i | 0.153888 | − | 0.473618i | ||||
\(714\) | 2.72864 | + | 3.82165i | 0.102117 | + | 0.143022i | ||||
\(715\) | −1.70205 | − | 25.7062i | −0.0636531 | − | 0.961356i | ||||
\(716\) | −29.5411 | + | 6.27916i | −1.10400 | + | 0.234663i | ||||
\(717\) | −16.6170 | + | 7.39835i | −0.620572 | + | 0.276296i | ||||
\(718\) | 11.6260 | − | 20.1368i | 0.433878 | − | 0.751499i | ||||
\(719\) | 3.58325 | − | 34.0923i | 0.133633 | − | 1.27143i | −0.697998 | − | 0.716100i | \(-0.745926\pi\) |
0.831631 | − | 0.555329i | \(-0.187408\pi\) | |||||||
\(720\) | 0.165347 | − | 0.262445i | 0.00616211 | − | 0.00978077i | ||||
\(721\) | −14.1704 | − | 32.5483i | −0.527733 | − | 1.21216i | ||||
\(722\) | 4.53139 | − | 3.29225i | 0.168641 | − | 0.122525i | ||||
\(723\) | 5.47155 | − | 6.07678i | 0.203489 | − | 0.225998i | ||||
\(724\) | −14.7376 | + | 25.5262i | −0.547717 | + | 0.948674i | ||||
\(725\) | −11.1943 | − | 46.3557i | −0.415746 | − | 1.72161i | ||||
\(726\) | −0.725073 | − | 1.25586i | −0.0269100 | − | 0.0466095i | ||||
\(727\) | −1.93172 | − | 5.94521i | −0.0716434 | − | 0.220496i | 0.908823 | − | 0.417182i | \(-0.136982\pi\) |
−0.980467 | + | 0.196686i | \(0.936982\pi\) | |||||||
\(728\) | 24.6983 | + | 2.80239i | 0.915380 | + | 0.103863i | ||||
\(729\) | −21.7975 | + | 15.8368i | −0.807313 | + | 0.586547i | ||||
\(730\) | 7.09758 | − | 19.2783i | 0.262693 | − | 0.713523i | ||||
\(731\) | 0.936941 | − | 0.417153i | 0.0346540 | − | 0.0154290i | ||||
\(732\) | −1.74859 | + | 3.02865i | −0.0646299 | + | 0.111942i | ||||
\(733\) | 2.63059 | − | 25.0284i | 0.0971631 | − | 0.924445i | −0.832000 | − | 0.554775i | \(-0.812804\pi\) |
0.929163 | − | 0.369670i | \(-0.120529\pi\) | |||||||
\(734\) | −6.80400 | + | 20.9406i | −0.251140 | + | 0.772930i | ||||
\(735\) | −14.6904 | + | 14.6093i | −0.541863 | + | 0.538871i | ||||
\(736\) | 3.86838 | + | 11.9057i | 0.142590 | + | 0.438848i | ||||
\(737\) | −42.1608 | + | 8.96156i | −1.55301 | + | 0.330103i | ||||
\(738\) | 7.70289 | + | 8.55492i | 0.283547 | + | 0.314911i | ||||
\(739\) | 38.3588 | + | 8.15342i | 1.41105 | + | 0.299928i | 0.849533 | − | 0.527536i | \(-0.176884\pi\) |
0.561519 | + | 0.827464i | \(0.310217\pi\) | |||||||
\(740\) | 8.74452 | + | 6.88419i | 0.321455 | + | 0.253068i | ||||
\(741\) | −6.77778 | + | 20.8599i | −0.248988 | + | 0.766307i | ||||
\(742\) | −0.0661392 | − | 0.324313i | −0.00242805 | − | 0.0119059i | ||||
\(743\) | −1.82616 | −0.0669953 | −0.0334976 | − | 0.999439i | \(-0.510665\pi\) | ||||
−0.0334976 | + | 0.999439i | \(0.510665\pi\) | |||||||
\(744\) | −2.34966 | + | 22.3555i | −0.0861427 | + | 0.819593i | ||||
\(745\) | −40.7491 | − | 20.0615i | −1.49293 | − | 0.734997i | ||||
\(746\) | 2.49523 | + | 23.7405i | 0.0913569 | + | 0.869203i | ||||
\(747\) | 5.89800 | + | 2.62596i | 0.215796 | + | 0.0960787i | ||||
\(748\) | 1.97608 | + | 6.08173i | 0.0722525 | + | 0.222370i | ||||
\(749\) | −1.97415 | + | 8.92443i | −0.0721338 | + | 0.326092i | ||||
\(750\) | −5.47917 | + | 11.9479i | −0.200071 | + | 0.436277i | ||||
\(751\) | 20.3973 | + | 35.3292i | 0.744310 | + | 1.28918i | 0.950517 | + | 0.310674i | \(0.100555\pi\) |
−0.206207 | + | 0.978508i | \(0.566112\pi\) | |||||||
\(752\) | −0.334655 | − | 0.0711331i | −0.0122036 | − | 0.00259396i | ||||
\(753\) | −3.16159 | − | 30.0806i | −0.115215 | − | 1.09620i | ||||
\(754\) | −25.4927 | − | 11.3501i | −0.928390 | − | 0.413346i | ||||
\(755\) | −2.84802 | − | 43.0137i | −0.103650 | − | 1.56543i | ||||
\(756\) | −17.0881 | − | 5.70879i | −0.621490 | − | 0.207627i | ||||
\(757\) | −26.3319 | −0.957050 | −0.478525 | − | 0.878074i | \(-0.658828\pi\) | ||||
−0.478525 | + | 0.878074i | \(0.658828\pi\) | |||||||
\(758\) | −2.73741 | + | 26.0447i | −0.0994271 | + | 0.945985i | ||||
\(759\) | 6.91804 | + | 7.68326i | 0.251109 | + | 0.278885i | ||||
\(760\) | −4.58244 | + | 31.7534i | −0.166223 | + | 1.15182i | ||||
\(761\) | −19.7557 | + | 21.9409i | −0.716144 | + | 0.795358i | −0.985858 | − | 0.167582i | \(-0.946404\pi\) |
0.269714 | + | 0.962940i | \(0.413071\pi\) | |||||||
\(762\) | −2.32342 | + | 7.15074i | −0.0841685 | + | 0.259044i | ||||
\(763\) | −0.0415051 | + | 5.02354i | −0.00150259 | + | 0.181865i | ||||
\(764\) | −4.09945 | − | 12.6168i | −0.148313 | − | 0.456460i | ||||
\(765\) | −1.45551 | + | 3.95345i | −0.0526242 | + | 0.142937i | ||||
\(766\) | 1.31656 | + | 1.46219i | 0.0475693 | + | 0.0528311i | ||||
\(767\) | 3.05384 | − | 1.35966i | 0.110268 | − | 0.0490944i | ||||
\(768\) | −10.7590 | − | 18.6352i | −0.388233 | − | 0.672440i | ||||
\(769\) | 33.9181 | + | 24.6430i | 1.22312 | + | 0.888648i | 0.996355 | − | 0.0853012i | \(-0.0271853\pi\) |
0.226764 | + | 0.973950i | \(0.427185\pi\) | |||||||
\(770\) | 16.3299 | − | 8.43383i | 0.588489 | − | 0.303934i | ||||
\(771\) | −28.6205 | + | 20.7940i | −1.03074 | + | 0.748879i | ||||
\(772\) | −12.5756 | − | 5.59900i | −0.452604 | − | 0.201512i | ||||
\(773\) | 39.1450 | + | 8.32053i | 1.40795 | + | 0.299269i | 0.848324 | − | 0.529478i | \(-0.177612\pi\) |
0.559624 | + | 0.828746i | \(0.310945\pi\) | |||||||
\(774\) | 0.376540 | − | 0.652187i | 0.0135345 | − | 0.0234424i | ||||
\(775\) | 0.818949 | + | 29.7606i | 0.0294175 | + | 1.06903i | ||||
\(776\) | 45.9263 | 1.64866 | ||||||||
\(777\) | −5.96221 | + | 13.0990i | −0.213893 | + | 0.469924i | ||||
\(778\) | 4.39807 | − | 3.19539i | 0.157678 | − | 0.114560i | ||||
\(779\) | −47.7254 | − | 21.2487i | −1.70994 | − | 0.761314i | ||||
\(780\) | −5.50458 | − | 10.4456i | −0.197096 | − | 0.374013i | ||||
\(781\) | 24.0568 | − | 10.7108i | 0.860819 | − | 0.383261i | ||||
\(782\) | 1.49725 | + | 2.59332i | 0.0535416 | + | 0.0927368i | ||||
\(783\) | 43.3860 | + | 31.5218i | 1.55049 | + | 1.12650i | ||||
\(784\) | 0.228179 | + | 0.743867i | 0.00814925 | + | 0.0265667i | ||||
\(785\) | 0.0641928 | + | 0.969507i | 0.00229114 | + | 0.0346032i | ||||
\(786\) | 5.08649 | − | 5.64912i | 0.181429 | − | 0.201498i | ||||
\(787\) | 3.76795 | + | 4.18474i | 0.134313 | + | 0.149170i | 0.806549 | − | 0.591167i | \(-0.201333\pi\) |
−0.672236 | + | 0.740337i | \(0.734666\pi\) | |||||||
\(788\) | −14.0478 | − | 15.6016i | −0.500431 | − | 0.555784i | ||||
\(789\) | −4.15159 | + | 4.61080i | −0.147800 | + | 0.164149i | ||||
\(790\) | −10.1124 | + | 16.0508i | −0.359782 | + | 0.571062i | ||||
\(791\) | 44.1357 | − | 24.9979i | 1.56928 | − | 0.888822i | ||||
\(792\) | 10.0720 | + | 7.31777i | 0.357895 | + | 0.260026i | ||||
\(793\) | 3.59318 | + | 6.22357i | 0.127598 | + | 0.221006i | ||||
\(794\) | 0.778663 | − | 0.346683i | 0.0276337 | − | 0.0123033i | ||||
\(795\) | −0.290686 | + | 0.298796i | −0.0103096 | + | 0.0105972i | ||||
\(796\) | −0.572171 | − | 0.254747i | −0.0202801 | − | 0.00902926i | ||||
\(797\) | −2.82844 | + | 2.05498i | −0.100189 | + | 0.0727912i | −0.636752 | − | 0.771069i | \(-0.719722\pi\) |
0.536563 | + | 0.843860i | \(0.319722\pi\) | |||||||
\(798\) | −15.5748 | + | 1.50699i | −0.551341 | + | 0.0533467i | ||||
\(799\) | 4.64669 | 0.164388 | ||||||||
\(800\) | −17.0917 | − | 22.2131i | −0.604283 | − | 0.785350i | ||||
\(801\) | −6.93536 | + | 12.0124i | −0.245049 | + | 0.424437i | ||||
\(802\) | −5.39434 | − | 1.14660i | −0.190481 | − | 0.0404879i | ||||
\(803\) | 33.0501 | + | 14.7149i | 1.16631 | + | 0.519276i | ||||
\(804\) | −15.9818 | + | 11.6114i | −0.563633 | + | 0.409503i | ||||
\(805\) | −10.2217 | + | 8.37079i | −0.360269 | + | 0.295032i | ||||
\(806\) | 14.0941 | + | 10.2400i | 0.496445 | + | 0.360688i | ||||
\(807\) | −2.33202 | − | 4.03918i | −0.0820911 | − | 0.142186i | ||||
\(808\) | 15.3799 | − | 6.84757i | 0.541063 | − | 0.240897i | ||||
\(809\) | 20.3363 | + | 22.5858i | 0.714987 | + | 0.794074i | 0.985686 | − | 0.168590i | \(-0.0539214\pi\) |
−0.270699 | + | 0.962664i | \(0.587255\pi\) | |||||||
\(810\) | −1.99858 | − | 7.06843i | −0.0702230 | − | 0.248359i | ||||
\(811\) | 3.79643 | + | 11.6842i | 0.133311 | + | 0.410288i | 0.995323 | − | 0.0965986i | \(-0.0307963\pi\) |
−0.862013 | + | 0.506886i | \(0.830796\pi\) | |||||||
\(812\) | −0.252486 | + | 30.5594i | −0.00886051 | + | 1.07243i | ||||
\(813\) | −7.07904 | + | 21.7870i | −0.248273 | + | 0.764105i | ||||
\(814\) | 8.54303 | − | 9.48799i | 0.299433 | − | 0.332554i | ||||
\(815\) | −35.4343 | + | 36.4228i | −1.24121 | + | 1.27584i | ||||
\(816\) | −0.148620 | − | 0.165059i | −0.00520274 | − | 0.00577823i | ||||
\(817\) | −0.357234 | + | 3.39886i | −0.0124980 | + | 0.118911i | ||||
\(818\) | 33.3815 | 1.16716 | ||||||||
\(819\) | −8.14274 | + | 7.21084i | −0.284530 | + | 0.251967i | ||||
\(820\) | 26.1141 | − | 10.4386i | 0.911942 | − | 0.364532i | ||||
\(821\) | 43.6580 | + | 19.4378i | 1.52368 | + | 0.678384i | 0.986300 | − | 0.164960i | \(-0.0527494\pi\) |
0.537375 | + | 0.843344i | \(0.319416\pi\) | |||||||
\(822\) | 0.868510 | + | 8.26332i | 0.0302928 | + | 0.288216i | ||||
\(823\) | −30.8228 | − | 6.55159i | −1.07441 | − | 0.228374i | −0.363459 | − | 0.931610i | \(-0.618404\pi\) |
−0.710956 | + | 0.703236i | \(0.751738\pi\) | |||||||
\(824\) | 19.1341 | + | 33.1412i | 0.666567 | + | 1.15453i | ||||
\(825\) | −20.3574 | − | 11.0181i | −0.708755 | − | 0.383602i | ||||
\(826\) | 1.75902 | + | 1.61035i | 0.0612043 | + | 0.0560311i | ||||
\(827\) | 0.406798 | + | 1.25200i | 0.0141458 | + | 0.0435362i | 0.957880 | − | 0.287168i | \(-0.0927138\pi\) |
−0.943734 | + | 0.330704i | \(0.892714\pi\) | |||||||
\(828\) | −3.08353 | − | 1.37288i | −0.107160 | − | 0.0477108i | ||||
\(829\) | −1.24547 | − | 11.8498i | −0.0432568 | − | 0.411561i | −0.994628 | − | 0.103514i | \(-0.966991\pi\) |
0.951371 | − | 0.308047i | \(-0.0996754\pi\) | |||||||
\(830\) | −7.16455 | + | 7.36441i | −0.248685 | + | 0.255623i | ||||
\(831\) | −2.39647 | + | 22.8009i | −0.0831325 | + | 0.790953i | ||||
\(832\) | −17.1330 | −0.593978 | ||||||||
\(833\) | −5.13183 | − | 9.23781i | −0.177807 | − | 0.320071i | ||||
\(834\) | −0.324851 | + | 0.999789i | −0.0112487 | + | 0.0346199i | ||||
\(835\) | −8.05303 | − | 0.311037i | −0.278687 | − | 0.0107639i | ||||
\(836\) | −20.8431 | − | 4.43033i | −0.720873 | − | 0.153226i | ||||
\(837\) | −22.4026 | − | 24.8806i | −0.774346 | − | 0.859999i | ||||
\(838\) | 6.80034 | − | 1.44546i | 0.234914 | − | 0.0499325i | ||||
\(839\) | −11.8043 | − | 36.3299i | −0.407529 | − | 1.25425i | −0.918765 | − | 0.394805i | \(-0.870812\pi\) |
0.511236 | − | 0.859441i | \(-0.329188\pi\) | |||||||
\(840\) | 13.9598 | − | 17.4338i | 0.481657 | − | 0.601524i | ||||
\(841\) | 19.1487 | − | 58.9336i | 0.660300 | − | 2.03219i | ||||
\(842\) | −1.17797 | + | 11.2077i | −0.0405957 | + | 0.386242i | ||||
\(843\) | 6.41514 | − | 11.1113i | 0.220949 | − | 0.382695i | ||||
\(844\) | −8.24469 | + | 3.67077i | −0.283794 | + | 0.126353i | ||||
\(845\) | 4.80259 | + | 0.185493i | 0.165214 | + | 0.00638116i | ||||
\(846\) | 2.76033 | − | 2.00550i | 0.0949021 | − | 0.0689504i | ||||
\(847\) | 1.30269 | + | 2.99217i | 0.0447608 | + | 0.102812i | ||||
\(848\) | 0.00483785 | + | 0.0148894i | 0.000166132 | + | 0.000511303i | ||||
\(849\) | 0.0449131 | + | 0.0777917i | 0.00154141 | + | 0.00266980i | ||||
\(850\) | −5.10391 | − | 4.34741i | −0.175063 | − | 0.149115i | ||||
\(851\) | −4.58890 | + | 7.94821i | −0.157306 | + | 0.272461i | ||||
\(852\) | 8.07570 | − | 8.96897i | 0.276669 | − | 0.307272i | ||||
\(853\) | −22.7770 | + | 16.5484i | −0.779868 | + | 0.566607i | −0.904939 | − | 0.425540i | \(-0.860084\pi\) |
0.125071 | + | 0.992148i | \(0.460084\pi\) | |||||||
\(854\) | −3.04764 | + | 4.12266i | −0.104288 | + | 0.141074i | ||||
\(855\) | −8.98381 | − | 10.7872i | −0.307240 | − | 0.368916i | ||||
\(856\) | 1.02993 | − | 9.79914i | 0.0352023 | − | 0.334928i | ||||
\(857\) | 9.05790 | − | 15.6887i | 0.309412 | − | 0.535917i | −0.668822 | − | 0.743423i | \(-0.733201\pi\) |
0.978234 | + | 0.207506i | \(0.0665345\pi\) | |||||||
\(858\) | −12.3742 | + | 5.50934i | −0.422448 | + | 0.188086i | ||||
\(859\) | 17.6550 | − | 3.75269i | 0.602381 | − | 0.128040i | 0.103381 | − | 0.994642i | \(-0.467034\pi\) |
0.499000 | + | 0.866602i | \(0.333701\pi\) | |||||||
\(860\) | −1.17736 | − | 1.41370i | −0.0401475 | − | 0.0482069i | ||||
\(861\) | 21.1329 | + | 29.5982i | 0.720208 | + | 1.00870i | ||||
\(862\) | −5.42093 | + | 16.6839i | −0.184637 | + | 0.568256i | ||||
\(863\) | −20.3992 | + | 4.33598i | −0.694396 | + | 0.147598i | −0.541571 | − | 0.840655i | \(-0.682170\pi\) |
−0.152825 | + | 0.988253i | \(0.548837\pi\) | |||||||
\(864\) | 30.8299 | + | 6.55309i | 1.04885 | + | 0.222941i | ||||
\(865\) | −2.42530 | + | 16.8057i | −0.0824625 | + | 0.571412i | ||||
\(866\) | −11.5509 | + | 2.45522i | −0.392516 | + | 0.0834319i | ||||
\(867\) | −15.7638 | − | 11.4530i | −0.535366 | − | 0.388966i | ||||
\(868\) | 4.12079 | − | 18.6286i | 0.139869 | − | 0.632297i | ||||
\(869\) | −27.0280 | − | 19.6370i | −0.916860 | − | 0.666138i | ||||
\(870\) | −20.8383 | + | 13.9438i | −0.706486 | + | 0.472739i | ||||
\(871\) | 4.24318 | + | 40.3712i | 0.143775 | + | 1.36793i | ||||
\(872\) | −0.566082 | − | 5.38591i | −0.0191699 | − | 0.182390i | ||||
\(873\) | −13.4469 | + | 14.9343i | −0.455108 | + | 0.505448i | ||||
\(874\) | −9.97841 | −0.337525 | ||||||||
\(875\) | 15.2832 | − | 25.3263i | 0.516668 | − | 0.856186i | ||||
\(876\) | 16.5808 | 0.560213 | ||||||||
\(877\) | 15.2153 | − | 16.8983i | 0.513785 | − | 0.570616i | −0.429303 | − | 0.903161i | \(-0.641241\pi\) |
0.943087 | + | 0.332545i | \(0.107907\pi\) | |||||||
\(878\) | 2.30016 | + | 21.8846i | 0.0776267 | + | 0.738569i | ||||
\(879\) | 0.682079 | + | 6.48955i | 0.0230060 | + | 0.218887i | ||||
\(880\) | −0.722499 | + | 0.483454i | −0.0243554 | + | 0.0162972i | ||||
\(881\) | 11.9712 | + | 8.69756i | 0.403319 | + | 0.293028i | 0.770891 | − | 0.636967i | \(-0.219811\pi\) |
−0.367573 | + | 0.929995i | \(0.619811\pi\) | |||||||
\(882\) | −7.03553 | − | 3.27276i | −0.236899 | − | 0.110200i | ||||
\(883\) | −37.9652 | − | 27.5833i | −1.27763 | − | 0.928253i | −0.278152 | − | 0.960537i | \(-0.589722\pi\) |
−0.999479 | + | 0.0322836i | \(0.989722\pi\) | |||||||
\(884\) | 5.89085 | − | 1.25214i | 0.198131 | − | 0.0421140i | ||||
\(885\) | 0.429014 | − | 2.97279i | 0.0144212 | − | 0.0999292i | ||||
\(886\) | 20.1460 | + | 4.28217i | 0.676820 | + | 0.143862i | ||||
\(887\) | 13.1256 | − | 2.78994i | 0.440715 | − | 0.0936770i | 0.0177906 | − | 0.999842i | \(-0.494337\pi\) |
0.422925 | + | 0.906165i | \(0.361003\pi\) | |||||||
\(888\) | 4.79430 | − | 14.7553i | 0.160886 | − | 0.495156i | ||||
\(889\) | 7.00960 | − | 15.4001i | 0.235094 | − | 0.516503i | ||||
\(890\) | −14.1264 | − | 16.9622i | −0.473518 | − | 0.568574i | ||||
\(891\) | 12.6532 | − | 2.68952i | 0.423898 | − | 0.0901022i | ||||
\(892\) | 14.4491 | − | 6.43314i | 0.483790 | − | 0.215397i | ||||
\(893\) | −7.74195 | + | 13.4094i | −0.259074 | + | 0.448730i | ||||
\(894\) | −2.49619 | + | 23.7497i | −0.0834852 | + | 0.794309i | ||||
\(895\) | 35.6848 | + | 42.8483i | 1.19281 | + | 1.43226i | ||||
\(896\) | 6.96113 | + | 15.9892i | 0.232555 | + | 0.534161i | ||||
\(897\) | 7.87738 | − | 5.72325i | 0.263018 | − | 0.191094i | ||||
\(898\) | −2.89169 | + | 3.21155i | −0.0964971 | + | 0.107171i | ||||
\(899\) | −28.3953 | + | 49.1821i | −0.947036 | + | 1.64031i | ||||
\(900\) | 7.53463 | + | 0.582898i | 0.251154 | + | 0.0194299i | ||||
\(901\) | −0.106314 | − | 0.184142i | −0.00354184 | − | 0.00613465i | ||||
\(902\) | −9.96972 | − | 30.6836i | −0.331955 | − | 1.02165i | ||||
\(903\) | 1.41428 | − | 1.91315i | 0.0470644 | − | 0.0636657i | ||||
\(904\) | −44.2369 | + | 32.1400i | −1.47130 | + | 1.06896i | ||||
\(905\) | 54.3809 | + | 2.10039i | 1.80768 | + | 0.0698192i | ||||
\(906\) | −20.7056 | + | 9.21870i | −0.687896 | + | 0.306271i | ||||
\(907\) | −10.6957 | + | 18.5255i | −0.355145 | + | 0.615128i | −0.987143 | − | 0.159841i | \(-0.948902\pi\) |
0.631998 | + | 0.774970i | \(0.282235\pi\) | |||||||
\(908\) | 1.13011 | − | 10.7523i | 0.0375041 | − | 0.356828i | ||||
\(909\) | −2.27643 | + | 7.00613i | −0.0755044 | + | 0.232379i | ||||
\(910\) | −6.29178 | − | 16.1253i | −0.208570 | − | 0.534549i | ||||
\(911\) | 12.2568 | + | 37.7225i | 0.406085 | + | 1.24980i | 0.919986 | + | 0.391952i | \(0.128200\pi\) |
−0.513901 | + | 0.857850i | \(0.671800\pi\) | |||||||
\(912\) | 0.723947 | − | 0.153880i | 0.0239723 | − | 0.00509547i | ||||
\(913\) | −12.1072 | − | 13.4464i | −0.400689 | − | 0.445010i | ||||
\(914\) | 5.63802 | + | 1.19840i | 0.186489 | + | 0.0396395i | ||||
\(915\) | 6.45223 | + | 0.249208i | 0.213304 | + | 0.00823857i | ||||
\(916\) | −6.45358 | + | 19.8621i | −0.213232 | + | 0.656261i | ||||
\(917\) | −12.8071 | + | 11.3414i | −0.422927 | + | 0.374524i | ||||
\(918\) | 7.53955 | 0.248842 | ||||||||
\(919\) | −1.26054 | + | 11.9933i | −0.0415815 | + | 0.395621i | 0.953860 | + | 0.300251i | \(0.0970703\pi\) |
−0.995442 | + | 0.0953706i | \(0.969596\pi\) | |||||||
\(920\) | 9.93145 | − | 10.2085i | 0.327430 | − | 0.336564i | ||||
\(921\) | 1.56505 | + | 14.8904i | 0.0515701 | + | 0.490656i | ||||
\(922\) | 3.49605 | + | 1.55654i | 0.115136 | + | 0.0512619i | ||||
\(923\) | −7.66376 | − | 23.5866i | −0.252256 | − | 0.776363i | ||||
\(924\) | 10.9415 | + | 10.0167i | 0.359948 | + | 0.329524i | ||||
\(925\) | 3.71775 | − | 20.2093i | 0.122239 | − | 0.664477i | ||||
\(926\) | −14.6413 | − | 25.3594i | −0.481142 | − | 0.833363i | ||||
\(927\) | −16.3791 | − | 3.48149i | −0.537961 | − | 0.114347i | ||||
\(928\) | −5.58845 | − | 53.1705i | −0.183450 | − | 1.74541i | ||||
\(929\) | −6.59705 | − | 2.93720i | −0.216442 | − | 0.0963663i | 0.295651 | − | 0.955296i | \(-0.404463\pi\) |
−0.512094 | + | 0.858930i | \(0.671130\pi\) | |||||||
\(930\) | 14.5350 | − | 5.81011i | 0.476623 | − | 0.190521i | ||||
\(931\) | 35.2088 | + | 0.581837i | 1.15392 | + | 0.0190689i | ||||
\(932\) | −0.377932 | −0.0123796 | ||||||||
\(933\) | 0.723393 | − | 6.88263i | 0.0236828 | − | 0.225327i | ||||
\(934\) | −9.24186 | − | 10.2641i | −0.302403 | − | 0.335853i | ||||
\(935\) | 8.23311 | − | 8.46278i | 0.269251 | − | 0.276763i | ||||
\(936\) | 7.84555 | − | 8.71337i | 0.256440 | − | 0.284805i | ||||
\(937\) | −14.3885 | + | 44.2832i | −0.470051 | + | 1.44667i | 0.382466 | + | 0.923969i | \(0.375075\pi\) |
−0.852517 | + | 0.522699i | \(0.824925\pi\) | |||||||
\(938\) | −25.1988 | + | 14.2723i | −0.822770 | + | 0.466006i | ||||
\(939\) | −7.22672 | − | 22.2416i | −0.235835 | − | 0.725826i | ||||
\(940\) | −2.26789 | − | 8.02089i | −0.0739704 | − | 0.261613i | ||||
\(941\) | −18.1406 | − | 20.1471i | −0.591366 | − | 0.656778i | 0.370969 | − | 0.928645i | \(-0.379026\pi\) |
−0.962335 | + | 0.271867i | \(0.912359\pi\) | |||||||
\(942\) | 0.466692 | − | 0.207785i | 0.0152056 | − | 0.00676999i | ||||
\(943\) | 11.5960 | + | 20.0849i | 0.377618 | + | 0.654053i | ||||
\(944\) | −0.0912580 | − | 0.0663028i | −0.00297019 | − | 0.00215797i | ||||
\(945\) | 5.38418 | + | 32.8262i | 0.175147 | + | 1.06784i | ||||
\(946\) | −1.70749 | + | 1.24056i | −0.0555151 | + | 0.0403341i | ||||
\(947\) | 28.8596 | + | 12.8491i | 0.937812 | + | 0.417541i | 0.817976 | − | 0.575253i | \(-0.195096\pi\) |
0.119837 | + | 0.992794i | \(0.461763\pi\) | |||||||
\(948\) | −14.9769 | − | 3.18344i | −0.486427 | − | 0.103393i | ||||
\(949\) | 17.0359 | − | 29.5071i | 0.553009 | − | 0.957840i | ||||
\(950\) | 21.0495 | − | 7.48556i | 0.682936 | − | 0.242864i | ||||
\(951\) | −4.45393 | −0.144429 | ||||||||
\(952\) | 6.61958 | + | 9.27119i | 0.214542 | + | 0.300481i | ||||
\(953\) | 18.0966 | − | 13.1480i | 0.586207 | − | 0.425904i | −0.254750 | − | 0.967007i | \(-0.581993\pi\) |
0.840956 | + | 0.541103i | \(0.181993\pi\) | |||||||
\(954\) | −0.142630 | − | 0.0635030i | −0.00461782 | − | 0.00205598i | ||||
\(955\) | −17.0799 | + | 17.5564i | −0.552693 | + | 0.568111i | ||||
\(956\) | −15.2039 | + | 6.76923i | −0.491730 | + | 0.218932i | ||||
\(957\) | −22.0776 | − | 38.2395i | −0.713667 | − | 1.23611i | ||||
\(958\) | 10.3497 | + | 7.51950i | 0.334384 | + | 0.242944i | ||||
\(959\) | 0.154483 | − | 18.6978i | 0.00498852 | − | 0.603783i | ||||
\(960\) | −8.20588 | + | 13.0247i | −0.264844 | + | 0.420372i | ||||
\(961\) | 2.98063 | − | 3.31032i | 0.0961493 | − | 0.106785i | ||||
\(962\) | −8.04571 | − | 8.93566i | −0.259404 | − | 0.288097i | ||||
\(963\) | 2.88491 | + | 3.20402i | 0.0929651 | + | 0.103248i | ||||
\(964\) | 5.00628 | − | 5.56003i | 0.161241 | − | 0.179077i | ||||
\(965\) | 1.67918 | + | 25.3607i | 0.0540548 | + | 0.816391i | ||||
\(966\) | 5.98692 | + | 3.52282i | 0.192626 | + | 0.113345i | ||||
\(967\) | −8.87751 | − | 6.44989i | −0.285482 | − | 0.207414i | 0.435823 | − | 0.900032i | \(-0.356457\pi\) |
−0.721305 | + | 0.692618i | \(0.756457\pi\) | |||||||
\(968\) | −1.75900 | − | 3.04668i | −0.0565364 | − | 0.0979239i | ||||
\(969\) | −9.18299 | + | 4.08853i | −0.295000 | + | 0.131343i | ||||
\(970\) | −14.9098 | − | 28.2932i | −0.478725 | − | 0.908439i | ||||
\(971\) | −36.6803 | − | 16.3311i | −1.17713 | − | 0.524090i | −0.277489 | − | 0.960729i | \(-0.589502\pi\) |
−0.899637 | + | 0.436639i | \(0.856169\pi\) | |||||||
\(972\) | −11.7309 | + | 8.52297i | −0.376268 | + | 0.273374i | ||||
\(973\) | 0.980055 | − | 2.15319i | 0.0314191 | − | 0.0690279i | ||||
\(974\) | −3.38888 | −0.108587 | ||||||||
\(975\) | −12.3239 | + | 17.9827i | −0.394682 | + | 0.575906i | ||||
\(976\) | 0.121249 | − | 0.210009i | 0.00388107 | − | 0.00672221i | ||||
\(977\) | 8.50726 | + | 1.80827i | 0.272171 | + | 0.0578518i | 0.341975 | − | 0.939709i | \(-0.388904\pi\) |
−0.0698041 | + | 0.997561i | \(0.522237\pi\) | |||||||
\(978\) | 24.4076 | + | 10.8670i | 0.780470 | + | 0.347488i | ||||
\(979\) | 31.4495 | − | 22.8494i | 1.00513 | − | 0.730271i | ||||
\(980\) | −13.4412 | + | 13.3670i | −0.429363 | + | 0.426992i | ||||
\(981\) | 1.91713 | + | 1.39287i | 0.0612091 | + | 0.0444710i | ||||
\(982\) | −2.86196 | − | 4.95706i | −0.0913289 | − | 0.158186i | ||||
\(983\) | 6.43354 | − | 2.86440i | 0.205198 | − | 0.0913601i | −0.301564 | − | 0.953446i | \(-0.597509\pi\) |
0.506762 | + | 0.862086i | \(0.330842\pi\) | |||||||
\(984\) | −26.2333 | − | 29.1350i | −0.836287 | − | 0.928791i | ||||
\(985\) | −13.3921 | + | 36.3755i | −0.426708 | + | 1.15902i | ||||
\(986\) | −3.95200 | − | 12.1630i | −0.125857 | − | 0.387349i | ||||
\(987\) | 9.37920 | − | 5.31225i | 0.298543 | − | 0.169091i | ||||
\(988\) | −6.20143 | + | 19.0860i | −0.197294 | + | 0.607208i | ||||
\(989\) | 1.01519 | − | 1.12748i | 0.0322812 | − | 0.0358519i | ||||
\(990\) | 1.23830 | − | 8.58063i | 0.0393558 | − | 0.272710i | ||||
\(991\) | 5.83216 | + | 6.47727i | 0.185265 | + | 0.205757i | 0.828622 | − | 0.559809i | \(-0.189126\pi\) |
−0.643357 | + | 0.765566i | \(0.722459\pi\) | |||||||
\(992\) | −3.48888 | + | 33.1945i | −0.110772 | + | 1.05393i | ||||
\(993\) | 0.720015 | 0.0228490 | ||||||||
\(994\) | 13.2458 | − | 11.7298i | 0.420130 | − | 0.372048i | ||||
\(995\) | 0.0764005 | + | 1.15388i | 0.00242206 | + | 0.0365804i | ||||
\(996\) | −7.57573 | − | 3.37293i | −0.240046 | − | 0.106875i | ||||
\(997\) | −2.81996 | − | 26.8301i | −0.0893090 | − | 0.849719i | −0.943859 | − | 0.330349i | \(-0.892833\pi\) |
0.854550 | − | 0.519370i | \(-0.173833\pi\) | |||||||
\(998\) | 10.1247 | + | 2.15208i | 0.320492 | + | 0.0681228i | ||||
\(999\) | 11.5539 | + | 20.0120i | 0.365550 | + | 0.633151i |
(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 | 175.2.q.a.81.7 | yes | 144 | |
5.2 | odd | 4 | 875.2.u.b.599.14 | 288 | |||
5.3 | odd | 4 | 875.2.u.b.599.23 | 288 | |||
5.4 | even | 2 | 875.2.q.a.151.12 | 144 | |||
7.2 | even | 3 | inner | 175.2.q.a.156.12 | yes | 144 | |
25.3 | odd | 20 | 875.2.u.b.774.14 | 288 | |||
25.4 | even | 10 | 875.2.q.a.851.7 | 144 | |||
25.21 | even | 5 | inner | 175.2.q.a.46.12 | ✓ | 144 | |
25.22 | odd | 20 | 875.2.u.b.774.23 | 288 | |||
35.2 | odd | 12 | 875.2.u.b.849.14 | 288 | |||
35.9 | even | 6 | 875.2.q.a.401.7 | 144 | |||
35.23 | odd | 12 | 875.2.u.b.849.23 | 288 | |||
175.72 | odd | 60 | 875.2.u.b.149.23 | 288 | |||
175.79 | even | 30 | 875.2.q.a.226.12 | 144 | |||
175.121 | even | 15 | inner | 175.2.q.a.121.7 | yes | 144 | |
175.128 | odd | 60 | 875.2.u.b.149.14 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.q.a.46.12 | ✓ | 144 | 25.21 | even | 5 | inner | |
175.2.q.a.81.7 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.q.a.121.7 | yes | 144 | 175.121 | even | 15 | inner | |
175.2.q.a.156.12 | yes | 144 | 7.2 | even | 3 | inner | |
875.2.q.a.151.12 | 144 | 5.4 | even | 2 | |||
875.2.q.a.226.12 | 144 | 175.79 | even | 30 | |||
875.2.q.a.401.7 | 144 | 35.9 | even | 6 | |||
875.2.q.a.851.7 | 144 | 25.4 | even | 10 | |||
875.2.u.b.149.14 | 288 | 175.128 | odd | 60 | |||
875.2.u.b.149.23 | 288 | 175.72 | odd | 60 | |||
875.2.u.b.599.14 | 288 | 5.2 | odd | 4 | |||
875.2.u.b.599.23 | 288 | 5.3 | odd | 4 | |||
875.2.u.b.774.14 | 288 | 25.3 | odd | 20 | |||
875.2.u.b.774.23 | 288 | 25.22 | odd | 20 | |||
875.2.u.b.849.14 | 288 | 35.2 | odd | 12 | |||
875.2.u.b.849.23 | 288 | 35.23 | odd | 12 |