Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), 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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 103.12 | ||
Character | \(\chi\) | \(=\) | 300.103 |
Dual form | 300.2.w.a.67.12 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.557275 | − | 1.29979i | −0.394053 | − | 0.919088i | ||||
\(3\) | −0.987688 | + | 0.156434i | −0.570242 | + | 0.0903175i | ||||
\(4\) | −1.37889 | + | 1.44868i | −0.689445 | + | 0.724338i | ||||
\(5\) | −1.94762 | − | 1.09854i | −0.871001 | − | 0.491281i | ||||
\(6\) | 0.753745 | + | 1.19661i | 0.307715 | + | 0.488513i | ||||
\(7\) | 2.52433 | + | 2.52433i | 0.954108 | + | 0.954108i | 0.998992 | − | 0.0448845i | \(-0.0142920\pi\) |
−0.0448845 | + | 0.998992i | \(0.514292\pi\) | |||||||
\(8\) | 2.65139 | + | 0.984953i | 0.937408 | + | 0.348233i | ||||
\(9\) | 0.951057 | − | 0.309017i | 0.317019 | − | 0.103006i | ||||
\(10\) | −0.342508 | + | 3.14367i | −0.108311 | + | 0.994117i | ||||
\(11\) | 1.68955 | + | 0.548967i | 0.509417 | + | 0.165520i | 0.552437 | − | 0.833554i | \(-0.313698\pi\) |
−0.0430199 | + | 0.999074i | \(0.513698\pi\) | |||||||
\(12\) | 1.13529 | − | 1.64655i | 0.327730 | − | 0.475317i | ||||
\(13\) | −1.62677 | + | 3.19271i | −0.451184 | + | 0.885499i | 0.547625 | + | 0.836724i | \(0.315532\pi\) |
−0.998810 | + | 0.0487756i | \(0.984468\pi\) | |||||||
\(14\) | 1.87435 | − | 4.68784i | 0.500940 | − | 1.25288i | ||||
\(15\) | 2.09549 | + | 0.780339i | 0.541053 | + | 0.201483i | ||||
\(16\) | −0.197324 | − | 3.99513i | −0.0493310 | − | 0.998782i | ||||
\(17\) | 0.815187 | − | 5.14689i | 0.197712 | − | 1.24830i | −0.666626 | − | 0.745392i | \(-0.732262\pi\) |
0.864338 | − | 0.502911i | \(-0.167738\pi\) | |||||||
\(18\) | −0.931656 | − | 1.06396i | −0.219593 | − | 0.250779i | ||||
\(19\) | 6.47859 | − | 4.70697i | 1.48629 | − | 1.07985i | 0.510828 | − | 0.859683i | \(-0.329339\pi\) |
0.975462 | − | 0.220170i | \(-0.0706611\pi\) | |||||||
\(20\) | 4.27698 | − | 1.30670i | 0.956361 | − | 0.292187i | ||||
\(21\) | −2.88815 | − | 2.09836i | −0.630245 | − | 0.457900i | ||||
\(22\) | −0.228001 | − | 2.50197i | −0.0486101 | − | 0.533423i | ||||
\(23\) | 3.63061 | + | 7.12548i | 0.757035 | + | 1.48577i | 0.870471 | + | 0.492220i | \(0.163815\pi\) |
−0.113435 | + | 0.993545i | \(0.536185\pi\) | |||||||
\(24\) | −2.77283 | − | 0.558057i | −0.566001 | − | 0.113913i | ||||
\(25\) | 2.58643 | + | 4.27907i | 0.517285 | + | 0.855813i | ||||
\(26\) | 5.05640 | + | 0.335234i | 0.991642 | + | 0.0657448i | ||||
\(27\) | −0.891007 | + | 0.453990i | −0.171474 | + | 0.0873705i | ||||
\(28\) | −7.13771 | + | 0.176163i | −1.34890 | + | 0.0332916i | ||||
\(29\) | 2.24828 | − | 3.09449i | 0.417494 | − | 0.574631i | −0.547532 | − | 0.836785i | \(-0.684433\pi\) |
0.965026 | + | 0.262153i | \(0.0844326\pi\) | |||||||
\(30\) | −0.153487 | − | 3.15855i | −0.0280228 | − | 0.576670i | ||||
\(31\) | 2.52195 | + | 3.47117i | 0.452956 | + | 0.623440i | 0.973029 | − | 0.230681i | \(-0.0740955\pi\) |
−0.520074 | + | 0.854121i | \(0.674095\pi\) | |||||||
\(32\) | −5.08285 | + | 2.48286i | −0.898530 | + | 0.438912i | ||||
\(33\) | −1.75462 | − | 0.277905i | −0.305441 | − | 0.0483770i | ||||
\(34\) | −7.14414 | + | 1.80866i | −1.22521 | + | 0.310183i | ||||
\(35\) | −2.14336 | − | 7.68951i | −0.362293 | − | 1.29976i | ||||
\(36\) | −0.863737 | + | 1.80387i | −0.143956 | + | 0.300646i | ||||
\(37\) | 4.07246 | + | 2.07502i | 0.669508 | + | 0.341131i | 0.755485 | − | 0.655166i | \(-0.227401\pi\) |
−0.0859772 | + | 0.996297i | \(0.527401\pi\) | |||||||
\(38\) | −9.72841 | − | 5.79771i | −1.57816 | − | 0.940512i | ||||
\(39\) | 1.10729 | − | 3.40789i | 0.177308 | − | 0.545699i | ||||
\(40\) | −4.08188 | − | 4.83097i | −0.645403 | − | 0.763843i | ||||
\(41\) | 1.90439 | + | 5.86111i | 0.297416 | + | 0.915351i | 0.982399 | + | 0.186793i | \(0.0598092\pi\) |
−0.684984 | + | 0.728558i | \(0.740191\pi\) | |||||||
\(42\) | −1.11793 | + | 4.92334i | −0.172500 | + | 0.759687i | ||||
\(43\) | −6.90605 | + | 6.90605i | −1.05316 | + | 1.05316i | −0.0546581 | + | 0.998505i | \(0.517407\pi\) |
−0.998505 | + | 0.0546581i | \(0.982593\pi\) | |||||||
\(44\) | −3.12497 | + | 1.69064i | −0.471107 | + | 0.254874i | ||||
\(45\) | −2.19176 | − | 0.442926i | −0.326728 | − | 0.0660275i | ||||
\(46\) | 7.23836 | − | 8.68987i | 1.06724 | − | 1.28125i | ||||
\(47\) | 0.113466 | + | 0.716398i | 0.0165508 | + | 0.104497i | 0.994581 | − | 0.103967i | \(-0.0331535\pi\) |
−0.978030 | + | 0.208464i | \(0.933154\pi\) | |||||||
\(48\) | 0.819871 | + | 3.91507i | 0.118338 | + | 0.565092i | ||||
\(49\) | 5.74450i | 0.820643i | ||||||||
\(50\) | 4.12052 | − | 5.74642i | 0.582730 | − | 0.812666i | ||||
\(51\) | 5.21104i | 0.729692i | ||||||||
\(52\) | −2.38207 | − | 6.75906i | −0.330334 | − | 0.937313i | ||||
\(53\) | −0.150417 | − | 0.949696i | −0.0206614 | − | 0.130451i | 0.975202 | − | 0.221318i | \(-0.0710360\pi\) |
−0.995863 | + | 0.0908676i | \(0.971036\pi\) | |||||||
\(54\) | 1.08663 | + | 0.905121i | 0.147871 | + | 0.123171i | ||||
\(55\) | −2.68753 | − | 2.92521i | −0.362386 | − | 0.394435i | ||||
\(56\) | 4.20664 | + | 9.17933i | 0.562136 | + | 1.22664i | ||||
\(57\) | −5.66249 | + | 5.66249i | −0.750015 | + | 0.750015i | ||||
\(58\) | −5.27508 | − | 1.19780i | −0.692651 | − | 0.157279i | ||||
\(59\) | 0.117276 | + | 0.360938i | 0.0152680 | + | 0.0469901i | 0.958400 | − | 0.285428i | \(-0.0921356\pi\) |
−0.943132 | + | 0.332418i | \(0.892136\pi\) | |||||||
\(60\) | −4.01991 | + | 1.95968i | −0.518968 | + | 0.252994i | ||||
\(61\) | 3.14261 | − | 9.67197i | 0.402370 | − | 1.23837i | −0.520701 | − | 0.853739i | \(-0.674329\pi\) |
0.923071 | − | 0.384629i | \(-0.125671\pi\) | |||||||
\(62\) | 3.10636 | − | 5.21239i | 0.394508 | − | 0.661974i | ||||
\(63\) | 3.18084 | + | 1.62072i | 0.400749 | + | 0.204192i | ||||
\(64\) | 6.05974 | + | 5.22299i | 0.757467 | + | 0.652873i | ||||
\(65\) | 6.67564 | − | 4.43111i | 0.828011 | − | 0.549612i | ||||
\(66\) | 0.616589 | + | 2.43550i | 0.0758969 | + | 0.299790i | ||||
\(67\) | −13.5463 | − | 2.14552i | −1.65494 | − | 0.262116i | −0.742056 | − | 0.670338i | \(-0.766149\pi\) |
−0.912883 | + | 0.408222i | \(0.866149\pi\) | |||||||
\(68\) | 6.33212 | + | 8.27793i | 0.767882 | + | 1.00385i | ||||
\(69\) | −4.70059 | − | 6.46980i | −0.565884 | − | 0.778873i | ||||
\(70\) | −8.80028 | + | 7.07107i | −1.05183 | + | 0.845155i | ||||
\(71\) | −0.772327 | + | 1.06302i | −0.0916583 | + | 0.126157i | −0.852383 | − | 0.522917i | \(-0.824844\pi\) |
0.760725 | + | 0.649074i | \(0.224844\pi\) | |||||||
\(72\) | 2.82599 | + | 0.117421i | 0.333046 | + | 0.0138382i | ||||
\(73\) | 0.731193 | − | 0.372562i | 0.0855797 | − | 0.0436050i | −0.410677 | − | 0.911781i | \(-0.634708\pi\) |
0.496257 | + | 0.868176i | \(0.334708\pi\) | |||||||
\(74\) | 0.427607 | − | 6.44968i | 0.0497083 | − | 0.749760i | ||||
\(75\) | −3.22398 | − | 3.82178i | −0.372273 | − | 0.441301i | ||||
\(76\) | −2.11439 | + | 15.8758i | −0.242537 | + | 1.82107i | ||||
\(77\) | 2.87920 | + | 5.65075i | 0.328115 | + | 0.643963i | ||||
\(78\) | −5.04659 | + | 0.459889i | −0.571414 | + | 0.0520722i | ||||
\(79\) | 5.19452 | + | 3.77404i | 0.584429 | + | 0.424612i | 0.840318 | − | 0.542094i | \(-0.182368\pi\) |
−0.255889 | + | 0.966706i | \(0.582368\pi\) | |||||||
\(80\) | −4.00449 | + | 7.99775i | −0.447716 | + | 0.894176i | ||||
\(81\) | 0.809017 | − | 0.587785i | 0.0898908 | − | 0.0653095i | ||||
\(82\) | 6.55692 | − | 5.74154i | 0.724090 | − | 0.634047i | ||||
\(83\) | −0.109993 | + | 0.694468i | −0.0120733 | + | 0.0762278i | −0.992989 | − | 0.118204i | \(-0.962286\pi\) |
0.980916 | + | 0.194432i | \(0.0622863\pi\) | |||||||
\(84\) | 7.02228 | − | 1.29058i | 0.766194 | − | 0.140814i | ||||
\(85\) | −7.24173 | + | 9.12865i | −0.785475 | + | 0.990141i | ||||
\(86\) | 12.8250 | + | 5.12783i | 1.38295 | + | 0.552948i | ||||
\(87\) | −1.73651 | + | 3.40809i | −0.186174 | + | 0.365386i | ||||
\(88\) | 3.93894 | + | 3.11965i | 0.419892 | + | 0.332556i | ||||
\(89\) | −4.92819 | − | 1.60126i | −0.522387 | − | 0.169734i | 0.0359415 | − | 0.999354i | \(-0.488557\pi\) |
−0.558328 | + | 0.829620i | \(0.688557\pi\) | |||||||
\(90\) | 0.645704 | + | 3.09565i | 0.0680632 | + | 0.326310i | ||||
\(91\) | −12.1660 | + | 3.95296i | −1.27534 | + | 0.414383i | ||||
\(92\) | −15.3287 | − | 4.56567i | −1.59813 | − | 0.476004i | ||||
\(93\) | −3.03391 | − | 3.03391i | −0.314602 | − | 0.314602i | ||||
\(94\) | 0.867933 | − | 0.546712i | 0.0895204 | − | 0.0563891i | ||||
\(95\) | −17.7886 | + | 2.05039i | −1.82507 | + | 0.210366i | ||||
\(96\) | 4.63187 | − | 3.24743i | 0.472738 | − | 0.331439i | ||||
\(97\) | 8.43146 | − | 1.33541i | 0.856085 | − | 0.135590i | 0.287062 | − | 0.957912i | \(-0.407322\pi\) |
0.569023 | + | 0.822322i | \(0.307322\pi\) | |||||||
\(98\) | 7.46663 | − | 3.20126i | 0.754243 | − | 0.323377i | ||||
\(99\) | 1.77649 | 0.178544 | ||||||||
\(100\) | −9.76538 | − | 2.15347i | −0.976538 | − | 0.215347i | ||||
\(101\) | −6.94087 | −0.690643 | −0.345321 | − | 0.938484i | \(-0.612230\pi\) | ||||
−0.345321 | + | 0.938484i | \(0.612230\pi\) | |||||||
\(102\) | 6.77324 | − | 2.90398i | 0.670651 | − | 0.287537i | ||||
\(103\) | 14.8955 | − | 2.35922i | 1.46770 | − | 0.232461i | 0.629151 | − | 0.777283i | \(-0.283403\pi\) |
0.838552 | + | 0.544822i | \(0.183403\pi\) | |||||||
\(104\) | −7.45787 | + | 6.86284i | −0.731304 | + | 0.672957i | ||||
\(105\) | 3.31987 | + | 7.25954i | 0.323986 | + | 0.708459i | ||||
\(106\) | −1.15058 | + | 0.724751i | −0.111754 | + | 0.0703941i | ||||
\(107\) | 4.92060 | + | 4.92060i | 0.475692 | + | 0.475692i | 0.903751 | − | 0.428059i | \(-0.140802\pi\) |
−0.428059 | + | 0.903751i | \(0.640802\pi\) | |||||||
\(108\) | 0.570915 | − | 1.91678i | 0.0549363 | − | 0.184443i | ||||
\(109\) | −0.895542 | + | 0.290979i | −0.0857773 | + | 0.0278707i | −0.351591 | − | 0.936154i | \(-0.614359\pi\) |
0.265814 | + | 0.964024i | \(0.414359\pi\) | |||||||
\(110\) | −2.30446 | + | 5.12336i | −0.219721 | + | 0.488493i | ||||
\(111\) | −4.34692 | − | 1.41240i | −0.412592 | − | 0.134059i | ||||
\(112\) | 9.58692 | − | 10.5831i | 0.905879 | − | 1.00001i | ||||
\(113\) | 2.66129 | − | 5.22308i | 0.250353 | − | 0.491346i | −0.731291 | − | 0.682065i | \(-0.761082\pi\) |
0.981645 | + | 0.190719i | \(0.0610821\pi\) | |||||||
\(114\) | 10.5156 | + | 4.20447i | 0.984876 | + | 0.393784i | ||||
\(115\) | 0.756571 | − | 17.8661i | 0.0705506 | − | 1.66602i | ||||
\(116\) | 1.38278 | + | 7.52398i | 0.128388 | + | 0.698584i | ||||
\(117\) | −0.560546 | + | 3.53915i | −0.0518225 | + | 0.327194i | ||||
\(118\) | 0.403787 | − | 0.353575i | 0.0371716 | − | 0.0325492i | ||||
\(119\) | 15.0503 | − | 10.9346i | 1.37965 | − | 1.00238i | ||||
\(120\) | 4.78736 | + | 4.13294i | 0.437024 | + | 0.377284i | ||||
\(121\) | −6.34599 | − | 4.61063i | −0.576908 | − | 0.419148i | ||||
\(122\) | −14.3228 | + | 1.30522i | −1.29672 | + | 0.118169i | ||||
\(123\) | −2.79782 | − | 5.49103i | −0.252271 | − | 0.495110i | ||||
\(124\) | −8.50609 | − | 1.13287i | −0.763870 | − | 0.101735i | ||||
\(125\) | −0.336646 | − | 11.1753i | −0.0301105 | − | 0.999547i | ||||
\(126\) | 0.333988 | − | 5.03760i | 0.0297540 | − | 0.448785i | ||||
\(127\) | 2.02791 | − | 1.03327i | 0.179948 | − | 0.0916881i | −0.361696 | − | 0.932296i | \(-0.617802\pi\) |
0.541644 | + | 0.840608i | \(0.317802\pi\) | |||||||
\(128\) | 3.41183 | − | 10.7870i | 0.301566 | − | 0.953445i | ||||
\(129\) | 5.74068 | − | 7.90137i | 0.505439 | − | 0.695677i | ||||
\(130\) | −9.47967 | − | 6.20756i | −0.831422 | − | 0.544439i | ||||
\(131\) | −7.97871 | − | 10.9818i | −0.697103 | − | 0.959480i | −0.999979 | − | 0.00645037i | \(-0.997947\pi\) |
0.302876 | − | 0.953030i | \(-0.402053\pi\) | |||||||
\(132\) | 2.82203 | − | 2.15868i | 0.245626 | − | 0.187889i | ||||
\(133\) | 28.2360 | + | 4.47215i | 2.44838 | + | 0.387785i | ||||
\(134\) | 4.76027 | + | 18.8029i | 0.411225 | + | 1.62432i | ||||
\(135\) | 2.23407 | + | 0.0946055i | 0.192278 | + | 0.00814235i | ||||
\(136\) | 7.23082 | − | 12.8435i | 0.620037 | − | 1.10132i | ||||
\(137\) | −17.2164 | − | 8.77220i | −1.47090 | − | 0.749460i | −0.479158 | − | 0.877729i | \(-0.659058\pi\) |
−0.991739 | + | 0.128269i | \(0.959058\pi\) | |||||||
\(138\) | −5.78984 | + | 9.71522i | −0.492864 | + | 0.827014i | ||||
\(139\) | 4.07647 | − | 12.5461i | 0.345761 | − | 1.06414i | −0.615414 | − | 0.788204i | \(-0.711011\pi\) |
0.961175 | − | 0.275940i | \(-0.0889890\pi\) | |||||||
\(140\) | 14.0951 | + | 7.49796i | 1.19125 | + | 0.633693i | ||||
\(141\) | −0.224139 | − | 0.689828i | −0.0188759 | − | 0.0580940i | ||||
\(142\) | 1.81209 | + | 0.411468i | 0.152067 | + | 0.0345296i | ||||
\(143\) | −4.50119 | + | 4.50119i | −0.376409 | + | 0.376409i | ||||
\(144\) | −1.42223 | − | 3.73862i | −0.118519 | − | 0.311551i | ||||
\(145\) | −7.77819 | + | 3.55705i | −0.645944 | + | 0.295397i | ||||
\(146\) | −0.891726 | − | 0.742776i | −0.0737998 | − | 0.0614726i | ||||
\(147\) | −0.898638 | − | 5.67378i | −0.0741184 | − | 0.467965i | ||||
\(148\) | −8.62150 | + | 3.03845i | −0.708683 | + | 0.249759i | ||||
\(149\) | 10.7792i | 0.883069i | 0.897244 | + | 0.441535i | \(0.145566\pi\) | ||||
−0.897244 | + | 0.441535i | \(0.854434\pi\) | |||||||
\(150\) | −3.17086 | + | 6.32026i | −0.258899 | + | 0.516047i | ||||
\(151\) | − | 5.33464i | − | 0.434127i | −0.976158 | − | 0.217063i | \(-0.930352\pi\) | ||
0.976158 | − | 0.217063i | \(-0.0696478\pi\) | |||||||
\(152\) | 21.8134 | − | 6.09891i | 1.76930 | − | 0.494687i | ||||
\(153\) | −0.815187 | − | 5.14689i | −0.0659039 | − | 0.416101i | ||||
\(154\) | 5.74026 | − | 6.89137i | 0.462564 | − | 0.555322i | ||||
\(155\) | −1.09858 | − | 9.53097i | −0.0882403 | − | 0.765546i | ||||
\(156\) | 3.41009 | + | 6.30321i | 0.273026 | + | 0.504660i | ||||
\(157\) | 2.71002 | − | 2.71002i | 0.216283 | − | 0.216283i | −0.590647 | − | 0.806930i | \(-0.701127\pi\) |
0.806930 | + | 0.590647i | \(0.201127\pi\) | |||||||
\(158\) | 2.01067 | − | 8.85494i | 0.159960 | − | 0.704461i | ||||
\(159\) | 0.297130 | + | 0.914473i | 0.0235640 | + | 0.0725224i | ||||
\(160\) | 12.6270 | + | 0.748043i | 0.998250 | + | 0.0591380i | ||||
\(161\) | −8.82221 | + | 27.1520i | −0.695287 | + | 2.13987i | ||||
\(162\) | −1.21484 | − | 0.723992i | −0.0954468 | − | 0.0568822i | ||||
\(163\) | 11.6794 | + | 5.95093i | 0.914798 | + | 0.466113i | 0.847004 | − | 0.531586i | \(-0.178404\pi\) |
0.0677942 | + | 0.997699i | \(0.478404\pi\) | |||||||
\(164\) | −11.1168 | − | 5.32298i | −0.868075 | − | 0.415655i | ||||
\(165\) | 3.11204 | + | 2.46877i | 0.242272 | + | 0.192194i | ||||
\(166\) | 0.963957 | − | 0.244042i | 0.0748176 | − | 0.0189413i | ||||
\(167\) | −10.3967 | − | 1.64667i | −0.804517 | − | 0.127423i | −0.259386 | − | 0.965774i | \(-0.583520\pi\) |
−0.545131 | + | 0.838351i | \(0.683520\pi\) | |||||||
\(168\) | −5.59081 | − | 8.40826i | −0.431341 | − | 0.648711i | ||||
\(169\) | 0.0941679 | + | 0.129611i | 0.00724368 | + | 0.00997007i | ||||
\(170\) | 15.9009 | + | 4.32553i | 1.21955 | + | 0.331753i | ||||
\(171\) | 4.70697 | − | 6.47859i | 0.359951 | − | 0.495430i | ||||
\(172\) | −0.481945 | − | 19.5273i | −0.0367480 | − | 1.48894i | ||||
\(173\) | −16.5463 | + | 8.43077i | −1.25799 | + | 0.640979i | −0.950545 | − | 0.310586i | \(-0.899475\pi\) |
−0.307447 | + | 0.951565i | \(0.599475\pi\) | |||||||
\(174\) | 5.39751 | + | 0.357849i | 0.409184 | + | 0.0271285i | ||||
\(175\) | −4.27279 | + | 17.3308i | −0.322992 | + | 1.31008i | ||||
\(176\) | 1.85981 | − | 6.85828i | 0.140188 | − | 0.516962i | ||||
\(177\) | −0.172295 | − | 0.338148i | −0.0129505 | − | 0.0254168i | ||||
\(178\) | 0.665051 | + | 7.29794i | 0.0498476 | + | 0.547003i | ||||
\(179\) | 8.42724 | + | 6.12275i | 0.629882 | + | 0.457636i | 0.856359 | − | 0.516380i | \(-0.172721\pi\) |
−0.226477 | + | 0.974016i | \(0.572721\pi\) | |||||||
\(180\) | 3.66385 | − | 2.56441i | 0.273088 | − | 0.191140i | ||||
\(181\) | 11.7201 | − | 8.51513i | 0.871146 | − | 0.632925i | −0.0597480 | − | 0.998213i | \(-0.519030\pi\) |
0.930894 | + | 0.365289i | \(0.119030\pi\) | |||||||
\(182\) | 11.9178 | + | 13.6103i | 0.883406 | + | 1.00886i | ||||
\(183\) | −1.59089 | + | 10.0445i | −0.117602 | + | 0.742511i | ||||
\(184\) | 2.60791 | + | 22.4684i | 0.192258 | + | 1.65639i | ||||
\(185\) | −5.65210 | − | 8.51510i | −0.415550 | − | 0.626042i | ||||
\(186\) | −2.25272 | + | 5.63416i | −0.165177 | + | 0.413117i | ||||
\(187\) | 4.20277 | − | 8.24839i | 0.307337 | − | 0.603182i | ||||
\(188\) | −1.19429 | − | 0.823458i | −0.0871023 | − | 0.0600569i | ||||
\(189\) | −3.39522 | − | 1.10317i | −0.246966 | − | 0.0802441i | ||||
\(190\) | 12.5782 | + | 21.9787i | 0.912519 | + | 1.59451i | ||||
\(191\) | −12.7629 | + | 4.14693i | −0.923494 | + | 0.300061i | −0.731899 | − | 0.681413i | \(-0.761366\pi\) |
−0.191595 | + | 0.981474i | \(0.561366\pi\) | |||||||
\(192\) | −6.80219 | − | 4.21073i | −0.490906 | − | 0.303883i | ||||
\(193\) | −1.91194 | − | 1.91194i | −0.137625 | − | 0.137625i | 0.634938 | − | 0.772563i | \(-0.281026\pi\) |
−0.772563 | + | 0.634938i | \(0.781026\pi\) | |||||||
\(194\) | −6.43439 | − | 10.2149i | −0.461962 | − | 0.733387i | ||||
\(195\) | −5.90027 | + | 5.42086i | −0.422527 | + | 0.388196i | ||||
\(196\) | −8.32192 | − | 7.92104i | −0.594423 | − | 0.565788i | ||||
\(197\) | −0.592792 | + | 0.0938891i | −0.0422347 | + | 0.00668932i | −0.177516 | − | 0.984118i | \(-0.556806\pi\) |
0.135281 | + | 0.990807i | \(0.456806\pi\) | |||||||
\(198\) | −0.989995 | − | 2.30906i | −0.0703559 | − | 0.164098i | ||||
\(199\) | −13.4831 | −0.955790 | −0.477895 | − | 0.878417i | \(-0.658600\pi\) | ||||
−0.477895 | + | 0.878417i | \(0.658600\pi\) | |||||||
\(200\) | 2.64294 | + | 13.8930i | 0.186884 | + | 0.982382i | ||||
\(201\) | 13.7151 | 0.967389 | ||||||||
\(202\) | 3.86797 | + | 9.02165i | 0.272150 | + | 0.634761i | ||||
\(203\) | 13.4869 | − | 2.13611i | 0.946595 | − | 0.149926i | ||||
\(204\) | −7.54911 | − | 7.18546i | −0.528544 | − | 0.503083i | ||||
\(205\) | 2.72963 | − | 13.5072i | 0.190646 | − | 0.943386i | ||||
\(206\) | −11.3674 | − | 18.0463i | −0.792004 | − | 1.25735i | ||||
\(207\) | 5.65481 | + | 5.65481i | 0.393037 | + | 0.393037i | ||||
\(208\) | 13.0763 | + | 5.86915i | 0.906679 | + | 0.406952i | ||||
\(209\) | 13.5298 | − | 4.39611i | 0.935879 | − | 0.304085i | ||||
\(210\) | 7.58578 | − | 8.36068i | 0.523468 | − | 0.576942i | ||||
\(211\) | −18.6782 | − | 6.06892i | −1.28586 | − | 0.417802i | −0.415220 | − | 0.909721i | \(-0.636296\pi\) |
−0.870641 | + | 0.491919i | \(0.836296\pi\) | |||||||
\(212\) | 1.58321 | + | 1.09162i | 0.108735 | + | 0.0749728i | ||||
\(213\) | 0.596526 | − | 1.17075i | 0.0408733 | − | 0.0802183i | ||||
\(214\) | 3.65360 | − | 9.13785i | 0.249755 | − | 0.624651i | ||||
\(215\) | 21.0369 | − | 5.86378i | 1.43471 | − | 0.399907i | ||||
\(216\) | −2.80956 | + | 0.326107i | −0.191167 | + | 0.0221888i | ||||
\(217\) | −2.39614 | + | 15.1286i | −0.162660 | + | 1.02700i | ||||
\(218\) | 0.877273 | + | 1.00186i | 0.0594164 | + | 0.0678544i | ||||
\(219\) | −0.663910 | + | 0.482359i | −0.0448629 | + | 0.0325948i | ||||
\(220\) | 7.94349 | + | 0.140185i | 0.535550 | + | 0.00945128i | ||||
\(221\) | 15.1064 | + | 10.9755i | 1.01617 | + | 0.738289i | ||||
\(222\) | 0.586610 | + | 6.43717i | 0.0393707 | + | 0.432034i | ||||
\(223\) | −3.00746 | − | 5.90248i | −0.201395 | − | 0.395259i | 0.768115 | − | 0.640312i | \(-0.221195\pi\) |
−0.969510 | + | 0.245052i | \(0.921195\pi\) | |||||||
\(224\) | −19.0984 | − | 6.56323i | −1.27606 | − | 0.438525i | ||||
\(225\) | 3.78214 | + | 3.27038i | 0.252143 | + | 0.218026i | ||||
\(226\) | −8.27195 | − | 0.548422i | −0.550242 | − | 0.0364805i | ||||
\(227\) | −5.71398 | + | 2.91142i | −0.379250 | + | 0.193237i | −0.633215 | − | 0.773976i | \(-0.718265\pi\) |
0.253965 | + | 0.967213i | \(0.418265\pi\) | |||||||
\(228\) | −0.395162 | − | 16.0111i | −0.0261702 | − | 1.06036i | ||||
\(229\) | −6.76671 | + | 9.31357i | −0.447157 | + | 0.615458i | −0.971784 | − | 0.235874i | \(-0.924205\pi\) |
0.524627 | + | 0.851332i | \(0.324205\pi\) | |||||||
\(230\) | −23.6437 | + | 8.97293i | −1.55902 | + | 0.591658i | ||||
\(231\) | −3.72773 | − | 5.13077i | −0.245266 | − | 0.337580i | ||||
\(232\) | 9.00897 | − | 5.99024i | 0.591468 | − | 0.393279i | ||||
\(233\) | −28.3176 | − | 4.48506i | −1.85515 | − | 0.293826i | −0.873830 | − | 0.486231i | \(-0.838371\pi\) |
−0.981316 | + | 0.192404i | \(0.938371\pi\) | |||||||
\(234\) | 4.91252 | − | 1.24369i | 0.321141 | − | 0.0813024i | ||||
\(235\) | 0.566002 | − | 1.51992i | 0.0369219 | − | 0.0991484i | ||||
\(236\) | −0.684592 | − | 0.327799i | −0.0445631 | − | 0.0213379i | ||||
\(237\) | −5.72095 | − | 2.91497i | −0.371616 | − | 0.189348i | ||||
\(238\) | −22.5998 | − | 13.4685i | −1.46493 | − | 0.873034i | ||||
\(239\) | 0.161118 | − | 0.495869i | 0.0104218 | − | 0.0320751i | −0.945710 | − | 0.325011i | \(-0.894632\pi\) |
0.956132 | + | 0.292935i | \(0.0946321\pi\) | |||||||
\(240\) | 2.70407 | − | 8.52573i | 0.174547 | − | 0.550333i | ||||
\(241\) | 1.91390 | + | 5.89039i | 0.123285 | + | 0.379433i | 0.993585 | − | 0.113090i | \(-0.0360748\pi\) |
−0.870299 | + | 0.492523i | \(0.836075\pi\) | |||||||
\(242\) | −2.45638 | + | 10.8178i | −0.157902 | + | 0.695395i | ||||
\(243\) | −0.707107 | + | 0.707107i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | 9.67823 | + | 17.8892i | 0.619585 | + | 1.14524i | ||||
\(245\) | 6.31056 | − | 11.1881i | 0.403167 | − | 0.714781i | ||||
\(246\) | −5.57802 | + | 6.69658i | −0.355641 | + | 0.426959i | ||||
\(247\) | 4.48884 | + | 28.3414i | 0.285618 | + | 1.80332i | ||||
\(248\) | 3.26774 | + | 11.6874i | 0.207502 | + | 0.742152i | ||||
\(249\) | − | 0.703125i | − | 0.0445587i | ||||||
\(250\) | −14.3379 | + | 6.66526i | −0.906806 | + | 0.421548i | ||||
\(251\) | 13.5063i | 0.852513i | 0.904602 | + | 0.426257i | \(0.140168\pi\) | ||||
−0.904602 | + | 0.426257i | \(0.859832\pi\) | |||||||
\(252\) | −6.73393 | + | 2.37322i | −0.424198 | + | 0.149499i | ||||
\(253\) | 2.22244 | + | 14.0319i | 0.139723 | + | 0.882179i | ||||
\(254\) | −2.47314 | − | 2.06003i | −0.155178 | − | 0.129258i | ||||
\(255\) | 5.72453 | − | 10.1491i | 0.358484 | − | 0.635562i | ||||
\(256\) | −15.9221 | + | 1.57667i | −0.995133 | + | 0.0985420i | ||||
\(257\) | 19.3654 | − | 19.3654i | 1.20798 | − | 1.20798i | 0.236303 | − | 0.971679i | \(-0.424064\pi\) |
0.971679 | − | 0.236303i | \(-0.0759358\pi\) | |||||||
\(258\) | −13.4692 | − | 3.05843i | −0.838558 | − | 0.190409i | ||||
\(259\) | 5.04219 | + | 15.5183i | 0.313307 | + | 0.964259i | ||||
\(260\) | −2.78573 | + | 15.7809i | −0.172763 | + | 0.978687i | ||||
\(261\) | 1.18199 | − | 3.63779i | 0.0731632 | − | 0.225173i | ||||
\(262\) | −9.82760 | + | 16.4905i | −0.607151 | + | 1.01878i | ||||
\(263\) | 15.6398 | + | 7.96889i | 0.964393 | + | 0.491383i | 0.863960 | − | 0.503561i | \(-0.167977\pi\) |
0.100434 | + | 0.994944i | \(0.467977\pi\) | |||||||
\(264\) | −4.37847 | − | 2.46505i | −0.269476 | − | 0.151714i | ||||
\(265\) | −0.750323 | + | 2.01488i | −0.0460920 | + | 0.123773i | ||||
\(266\) | −9.92239 | − | 39.1931i | −0.608381 | − | 2.40308i | ||||
\(267\) | 5.11801 | + | 0.810612i | 0.313217 | + | 0.0496087i | ||||
\(268\) | 21.7870 | − | 16.6657i | 1.33085 | − | 1.01802i | ||||
\(269\) | 9.74908 | + | 13.4185i | 0.594412 | + | 0.818137i | 0.995182 | − | 0.0980409i | \(-0.0312576\pi\) |
−0.400771 | + | 0.916178i | \(0.631258\pi\) | |||||||
\(270\) | −1.12202 | − | 2.95653i | −0.0682840 | − | 0.179929i | ||||
\(271\) | 0.441635 | − | 0.607859i | 0.0268274 | − | 0.0369248i | −0.795393 | − | 0.606095i | \(-0.792735\pi\) |
0.822220 | + | 0.569170i | \(0.192735\pi\) | |||||||
\(272\) | −20.7233 | − | 2.24117i | −1.25654 | − | 0.135891i | ||||
\(273\) | 11.3978 | − | 5.80747i | 0.689827 | − | 0.351484i | ||||
\(274\) | −1.80772 | + | 27.2662i | −0.109208 | + | 1.64721i | ||||
\(275\) | 2.02082 | + | 8.64954i | 0.121860 | + | 0.521587i | ||||
\(276\) | 15.8542 | + | 2.11152i | 0.954313 | + | 0.127099i | ||||
\(277\) | −8.06741 | − | 15.8332i | −0.484724 | − | 0.951324i | −0.995780 | − | 0.0917765i | \(-0.970745\pi\) |
0.511056 | − | 0.859547i | \(-0.329255\pi\) | |||||||
\(278\) | −18.5789 | + | 1.69307i | −1.11429 | + | 0.101544i | ||||
\(279\) | 3.47117 | + | 2.52195i | 0.207813 | + | 0.150985i | ||||
\(280\) | 1.89093 | − | 22.4990i | 0.113005 | − | 1.34457i | ||||
\(281\) | 1.40422 | − | 1.02023i | 0.0837687 | − | 0.0608616i | −0.545113 | − | 0.838363i | \(-0.683513\pi\) |
0.628881 | + | 0.777501i | \(0.283513\pi\) | |||||||
\(282\) | −0.771722 | + | 0.675756i | −0.0459554 | + | 0.0402407i | ||||
\(283\) | 0.331065 | − | 2.09026i | 0.0196798 | − | 0.124253i | −0.975893 | − | 0.218251i | \(-0.929965\pi\) |
0.995572 | + | 0.0939981i | \(0.0299647\pi\) | |||||||
\(284\) | −0.475013 | − | 2.58463i | −0.0281868 | − | 0.153370i | ||||
\(285\) | 17.2488 | − | 4.80790i | 1.02173 | − | 0.284795i | ||||
\(286\) | 8.35899 | + | 3.34219i | 0.494278 | + | 0.197628i | ||||
\(287\) | −9.98807 | + | 19.6027i | −0.589577 | + | 1.15711i | ||||
\(288\) | −4.06683 | + | 3.93203i | −0.239640 | + | 0.231697i | ||||
\(289\) | −9.65795 | − | 3.13806i | −0.568115 | − | 0.184592i | ||||
\(290\) | 8.95800 | + | 8.12773i | 0.526032 | + | 0.477277i | ||||
\(291\) | −8.11875 | + | 2.63794i | −0.475929 | + | 0.154639i | ||||
\(292\) | −0.468514 | + | 1.57298i | −0.0274177 | + | 0.0920519i | ||||
\(293\) | 4.91240 | + | 4.91240i | 0.286985 | + | 0.286985i | 0.835887 | − | 0.548902i | \(-0.184954\pi\) |
−0.548902 | + | 0.835887i | \(0.684954\pi\) | |||||||
\(294\) | −6.87391 | + | 4.32989i | −0.400895 | + | 0.252524i | ||||
\(295\) | 0.168096 | − | 0.831800i | 0.00978691 | − | 0.0484293i | ||||
\(296\) | 8.75388 | + | 9.51287i | 0.508809 | + | 0.552924i | ||||
\(297\) | −1.75462 | + | 0.277905i | −0.101814 | + | 0.0161257i | ||||
\(298\) | 14.0107 | − | 6.00699i | 0.811618 | − | 0.347976i | ||||
\(299\) | −28.6558 | −1.65721 | ||||||||
\(300\) | 9.98202 | + | 0.599316i | 0.576312 | + | 0.0346015i | ||||
\(301\) | −34.8663 | −2.00966 | ||||||||
\(302\) | −6.93389 | + | 2.97286i | −0.399001 | + | 0.171069i | ||||
\(303\) | 6.85542 | − | 1.08579i | 0.393834 | − | 0.0623771i | ||||
\(304\) | −20.0833 | − | 24.9540i | −1.15186 | − | 1.43121i | ||||
\(305\) | −16.7456 | + | 15.3850i | −0.958853 | + | 0.880943i | ||||
\(306\) | −6.23557 | + | 3.92780i | −0.356464 | + | 0.224537i | ||||
\(307\) | 16.3027 | + | 16.3027i | 0.930442 | + | 0.930442i | 0.997733 | − | 0.0672912i | \(-0.0214356\pi\) |
−0.0672912 | + | 0.997733i | \(0.521436\pi\) | |||||||
\(308\) | −12.1562 | − | 3.62073i | −0.692664 | − | 0.206310i | ||||
\(309\) | −14.3431 | + | 4.66035i | −0.815950 | + | 0.265118i | ||||
\(310\) | −11.7760 | + | 6.73929i | −0.668832 | + | 0.382766i | ||||
\(311\) | 16.3710 | + | 5.31926i | 0.928315 | + | 0.301628i | 0.733873 | − | 0.679286i | \(-0.237711\pi\) |
0.194442 | + | 0.980914i | \(0.437711\pi\) | |||||||
\(312\) | 6.29247 | − | 7.94501i | 0.356241 | − | 0.449798i | ||||
\(313\) | 6.04074 | − | 11.8556i | 0.341443 | − | 0.670119i | −0.654886 | − | 0.755728i | \(-0.727283\pi\) |
0.996329 | + | 0.0856085i | \(0.0272834\pi\) | |||||||
\(314\) | −5.03267 | − | 2.01222i | −0.284010 | − | 0.113556i | ||||
\(315\) | −4.41464 | − | 6.65082i | −0.248737 | − | 0.374731i | ||||
\(316\) | −12.6300 | + | 2.32119i | −0.710495 | + | 0.130577i | ||||
\(317\) | 1.57231 | − | 9.92720i | 0.0883099 | − | 0.557567i | −0.903372 | − | 0.428857i | \(-0.858916\pi\) |
0.991682 | − | 0.128710i | \(-0.0410836\pi\) | |||||||
\(318\) | 1.02304 | − | 0.895818i | 0.0573690 | − | 0.0502350i | ||||
\(319\) | 5.49733 | − | 3.99405i | 0.307792 | − | 0.223624i | ||||
\(320\) | −6.06439 | − | 16.8292i | −0.339010 | − | 0.940783i | ||||
\(321\) | −5.62977 | − | 4.09027i | −0.314223 | − | 0.228296i | ||||
\(322\) | 40.2081 | − | 3.66411i | 2.24071 | − | 0.204193i | ||||
\(323\) | −18.9450 | − | 37.1816i | −1.05413 | − | 2.06884i | ||||
\(324\) | −0.264035 | + | 1.98249i | −0.0146686 | + | 0.110139i | ||||
\(325\) | −17.8693 | + | 1.29666i | −0.991213 | + | 0.0719259i | ||||
\(326\) | 1.22633 | − | 18.4970i | 0.0679201 | − | 1.02445i | ||||
\(327\) | 0.838997 | − | 0.427490i | 0.0463966 | − | 0.0236403i | ||||
\(328\) | −0.723634 | + | 17.4158i | −0.0399560 | + | 0.961627i | ||||
\(329\) | −1.52200 | + | 2.09485i | −0.0839106 | + | 0.115493i | ||||
\(330\) | 1.47462 | − | 5.42078i | 0.0811749 | − | 0.298404i | ||||
\(331\) | −4.32087 | − | 5.94717i | −0.237496 | − | 0.326886i | 0.673587 | − | 0.739108i | \(-0.264753\pi\) |
−0.911083 | + | 0.412222i | \(0.864753\pi\) | |||||||
\(332\) | −0.854391 | − | 1.11694i | −0.0468908 | − | 0.0613000i | ||||
\(333\) | 4.51435 | + | 0.715003i | 0.247385 | + | 0.0391819i | ||||
\(334\) | 3.65347 | + | 14.4311i | 0.199909 | + | 0.789633i | ||||
\(335\) | 24.0260 | + | 19.0597i | 1.31268 | + | 1.04134i | ||||
\(336\) | −7.81332 | + | 11.9526i | −0.426252 | + | 0.652066i | ||||
\(337\) | 7.42745 | + | 3.78448i | 0.404599 | + | 0.206154i | 0.644434 | − | 0.764660i | \(-0.277093\pi\) |
−0.239835 | + | 0.970814i | \(0.577093\pi\) | |||||||
\(338\) | 0.115989 | − | 0.194627i | 0.00630898 | − | 0.0105863i | ||||
\(339\) | −1.81146 | + | 5.57509i | −0.0983848 | + | 0.302797i | ||||
\(340\) | −3.23891 | − | 23.0783i | −0.175655 | − | 1.25160i | ||||
\(341\) | 2.35540 | + | 7.24917i | 0.127552 | + | 0.392564i | ||||
\(342\) | −11.0439 | − | 2.50770i | −0.597183 | − | 0.135601i | ||||
\(343\) | 3.16929 | − | 3.16929i | 0.171126 | − | 0.171126i | ||||
\(344\) | −25.1128 | + | 11.5085i | −1.35399 | + | 0.620497i | ||||
\(345\) | 2.04761 | + | 17.7645i | 0.110240 | + | 0.956407i | ||||
\(346\) | 20.1790 | + | 16.8084i | 1.08483 | + | 0.903626i | ||||
\(347\) | −0.533505 | − | 3.36842i | −0.0286400 | − | 0.180826i | 0.969221 | − | 0.246191i | \(-0.0791789\pi\) |
−0.997861 | + | 0.0653646i | \(0.979179\pi\) | |||||||
\(348\) | −2.54277 | − | 7.21503i | −0.136307 | − | 0.386766i | ||||
\(349\) | − | 5.41345i | − | 0.289775i | −0.989448 | − | 0.144888i | \(-0.953718\pi\) | ||
0.989448 | − | 0.144888i | \(-0.0462820\pi\) | |||||||
\(350\) | 24.9074 | − | 4.10429i | 1.33136 | − | 0.219384i | ||||
\(351\) | − | 3.58327i | − | 0.191261i | ||||||
\(352\) | −9.95072 | + | 1.40460i | −0.530375 | + | 0.0748652i | ||||
\(353\) | −2.10117 | − | 13.2663i | −0.111834 | − | 0.706092i | −0.978352 | − | 0.206946i | \(-0.933647\pi\) |
0.866518 | − | 0.499145i | \(-0.166353\pi\) | |||||||
\(354\) | −0.343505 | + | 0.412388i | −0.0182571 | + | 0.0219182i | ||||
\(355\) | 2.67196 | − | 1.22192i | 0.141813 | − | 0.0648527i | ||||
\(356\) | 9.11514 | − | 4.93138i | 0.483102 | − | 0.261362i | ||||
\(357\) | −13.1544 | + | 13.1544i | −0.696205 | + | 0.696205i | ||||
\(358\) | 3.26198 | − | 14.3657i | 0.172401 | − | 0.759249i | ||||
\(359\) | −0.690853 | − | 2.12623i | −0.0364618 | − | 0.112218i | 0.931169 | − | 0.364588i | \(-0.118790\pi\) |
−0.967631 | + | 0.252370i | \(0.918790\pi\) | |||||||
\(360\) | −5.37495 | − | 3.33315i | −0.283285 | − | 0.175672i | ||||
\(361\) | 13.9452 | − | 42.9189i | 0.733958 | − | 2.25889i | ||||
\(362\) | −17.5992 | − | 10.4883i | −0.924991 | − | 0.551254i | ||||
\(363\) | 6.98912 | + | 3.56113i | 0.366833 | + | 0.186911i | ||||
\(364\) | 11.0490 | − | 23.0753i | 0.579124 | − | 1.20947i | ||||
\(365\) | −1.83336 | − | 0.0776368i | −0.0959623 | − | 0.00406370i | ||||
\(366\) | 13.9423 | − | 3.52973i | 0.728774 | − | 0.184502i | ||||
\(367\) | −30.7353 | − | 4.86799i | −1.60437 | − | 0.254107i | −0.710921 | − | 0.703272i | \(-0.751722\pi\) |
−0.893449 | + | 0.449165i | \(0.851722\pi\) | |||||||
\(368\) | 27.7508 | − | 15.9108i | 1.44661 | − | 0.829408i | ||||
\(369\) | 3.62236 | + | 4.98575i | 0.188573 | + | 0.259548i | ||||
\(370\) | −7.91804 | + | 12.0918i | −0.411639 | + | 0.628621i | ||||
\(371\) | 2.01764 | − | 2.77705i | 0.104751 | − | 0.144177i | ||||
\(372\) | 8.57859 | − | 0.211724i | 0.444779 | − | 0.0109774i | ||||
\(373\) | 0.877412 | − | 0.447064i | 0.0454307 | − | 0.0231481i | −0.431128 | − | 0.902291i | \(-0.641884\pi\) |
0.476558 | + | 0.879143i | \(0.341884\pi\) | |||||||
\(374\) | −13.0632 | − | 0.866079i | −0.675484 | − | 0.0447839i | ||||
\(375\) | 2.08070 | + | 10.9850i | 0.107447 | + | 0.567264i | ||||
\(376\) | −0.404775 | + | 2.01121i | −0.0208747 | + | 0.103720i | ||||
\(377\) | 6.22238 | + | 12.2121i | 0.320469 | + | 0.628956i | ||||
\(378\) | 0.458179 | + | 5.02783i | 0.0235662 | + | 0.258604i | ||||
\(379\) | 3.72897 | + | 2.70926i | 0.191544 | + | 0.139165i | 0.679424 | − | 0.733746i | \(-0.262230\pi\) |
−0.487880 | + | 0.872911i | \(0.662230\pi\) | |||||||
\(380\) | 21.5582 | − | 28.5972i | 1.10591 | − | 1.46700i | ||||
\(381\) | −1.84130 | + | 1.33779i | −0.0943329 | + | 0.0685369i | ||||
\(382\) | 12.5026 | + | 14.2781i | 0.639688 | + | 0.730532i | ||||
\(383\) | 0.000646826 | − | 0.00408390i | 3.30513e−5 | − | 0.000208678i | −0.987672 | − | 0.156539i | \(-0.949966\pi\) |
0.987705 | + | 0.156330i | \(0.0499664\pi\) | |||||||
\(384\) | −1.68237 | + | 11.1879i | −0.0858529 | + | 0.570931i | ||||
\(385\) | 0.599987 | − | 14.1684i | 0.0305782 | − | 0.722089i | ||||
\(386\) | −1.41964 | + | 3.55060i | −0.0722578 | + | 0.180721i | ||||
\(387\) | −4.43396 | + | 8.70213i | −0.225391 | + | 0.442354i | ||||
\(388\) | −9.69147 | + | 14.0558i | −0.492010 | + | 0.713577i | ||||
\(389\) | 31.1826 | + | 10.1318i | 1.58102 | + | 0.513705i | 0.962320 | − | 0.271921i | \(-0.0876589\pi\) |
0.618702 | + | 0.785626i | \(0.287659\pi\) | |||||||
\(390\) | 10.3340 | + | 4.64819i | 0.523284 | + | 0.235370i | ||||
\(391\) | 39.6337 | − | 12.8778i | 2.00436 | − | 0.651256i | ||||
\(392\) | −5.65806 | + | 15.2309i | −0.285775 | + | 0.769277i | ||||
\(393\) | 9.59841 | + | 9.59841i | 0.484176 | + | 0.484176i | ||||
\(394\) | 0.452384 | + | 0.718182i | 0.0227908 | + | 0.0361815i | ||||
\(395\) | −5.97100 | − | 13.0568i | −0.300434 | − | 0.656957i | ||||
\(396\) | −2.44959 | + | 2.57356i | −0.123097 | + | 0.129326i | ||||
\(397\) | −29.0939 | + | 4.60802i | −1.46018 | + | 0.231270i | −0.835448 | − | 0.549570i | \(-0.814792\pi\) |
−0.624732 | + | 0.780839i | \(0.714792\pi\) | |||||||
\(398\) | 7.51377 | + | 17.5251i | 0.376631 | + | 0.878455i | ||||
\(399\) | −28.5880 | −1.43119 | ||||||||
\(400\) | 16.5851 | − | 11.1775i | 0.829253 | − | 0.558873i | ||||
\(401\) | 9.63208 | 0.481003 | 0.240501 | − | 0.970649i | \(-0.422688\pi\) | ||||
0.240501 | + | 0.970649i | \(0.422688\pi\) | |||||||
\(402\) | −7.64308 | − | 17.8267i | −0.381202 | − | 0.889116i | ||||
\(403\) | −15.1851 | + | 2.40508i | −0.756422 | + | 0.119806i | ||||
\(404\) | 9.57070 | − | 10.0551i | 0.476160 | − | 0.500259i | ||||
\(405\) | −2.22136 | + | 0.256044i | −0.110380 | + | 0.0127229i | ||||
\(406\) | −10.2924 | − | 16.3397i | −0.510803 | − | 0.810925i | ||||
\(407\) | 5.74149 | + | 5.74149i | 0.284595 | + | 0.284595i | ||||
\(408\) | −5.13263 | + | 13.8165i | −0.254103 | + | 0.684019i | ||||
\(409\) | −12.9665 | + | 4.21307i | −0.641152 | + | 0.208323i | −0.611509 | − | 0.791238i | \(-0.709437\pi\) |
−0.0296432 | + | 0.999561i | \(0.509437\pi\) | |||||||
\(410\) | −19.0777 | + | 3.97930i | −0.942179 | + | 0.196524i | ||||
\(411\) | 18.3767 | + | 5.97096i | 0.906457 | + | 0.294526i | ||||
\(412\) | −17.1216 | + | 24.8319i | −0.843519 | + | 1.22338i | ||||
\(413\) | −0.615083 | + | 1.20717i | −0.0302663 | + | 0.0594009i | ||||
\(414\) | 4.19877 | − | 10.5013i | 0.206358 | − | 0.516113i | ||||
\(415\) | 0.977125 | − | 1.23173i | 0.0479652 | − | 0.0604631i | ||||
\(416\) | 0.341553 | − | 20.2671i | 0.0167460 | − | 0.993678i | ||||
\(417\) | −2.06364 | + | 13.0293i | −0.101057 | + | 0.638048i | ||||
\(418\) | −13.2538 | − | 15.1361i | −0.648267 | − | 0.740329i | ||||
\(419\) | 14.8180 | − | 10.7659i | 0.723908 | − | 0.525950i | −0.163722 | − | 0.986507i | \(-0.552350\pi\) |
0.887631 | + | 0.460556i | \(0.152350\pi\) | |||||||
\(420\) | −15.0945 | − | 5.20069i | −0.736534 | − | 0.253768i | ||||
\(421\) | −6.14229 | − | 4.46264i | −0.299357 | − | 0.217496i | 0.427959 | − | 0.903798i | \(-0.359233\pi\) |
−0.727316 | + | 0.686302i | \(0.759233\pi\) | |||||||
\(422\) | 2.52059 | + | 27.6597i | 0.122701 | + | 1.34646i | ||||
\(423\) | 0.329292 | + | 0.646272i | 0.0160107 | + | 0.0314228i | ||||
\(424\) | 0.536591 | − | 2.66617i | 0.0260592 | − | 0.129481i | ||||
\(425\) | 24.1323 | − | 9.82380i | 1.17059 | − | 0.476524i | ||||
\(426\) | −1.85415 | − | 0.122928i | −0.0898339 | − | 0.00595589i | ||||
\(427\) | 32.3483 | − | 16.4823i | 1.56544 | − | 0.797632i | ||||
\(428\) | −13.9133 | + | 0.343388i | −0.672526 | + | 0.0165983i | ||||
\(429\) | 3.74164 | − | 5.14992i | 0.180648 | − | 0.248640i | ||||
\(430\) | −19.3450 | − | 24.0758i | −0.932899 | − | 1.16104i | ||||
\(431\) | −3.20041 | − | 4.40499i | −0.154158 | − | 0.212181i | 0.724951 | − | 0.688800i | \(-0.241862\pi\) |
−0.879110 | + | 0.476619i | \(0.841862\pi\) | |||||||
\(432\) | 1.98957 | + | 3.47010i | 0.0957231 | + | 0.166955i | ||||
\(433\) | 11.0230 | + | 1.74587i | 0.529732 | + | 0.0839013i | 0.415571 | − | 0.909561i | \(-0.363582\pi\) |
0.114161 | + | 0.993462i | \(0.463582\pi\) | |||||||
\(434\) | 20.9993 | − | 5.31633i | 1.00800 | − | 0.255192i | ||||
\(435\) | 7.12598 | − | 4.73004i | 0.341665 | − | 0.226788i | ||||
\(436\) | 0.813319 | − | 1.69858i | 0.0389509 | − | 0.0813471i | ||||
\(437\) | 57.0607 | + | 29.0739i | 2.72958 | + | 1.39079i | ||||
\(438\) | 0.996943 | + | 0.594135i | 0.0476358 | + | 0.0283888i | ||||
\(439\) | −9.42835 | + | 29.0175i | −0.449991 | + | 1.38493i | 0.426926 | + | 0.904287i | \(0.359596\pi\) |
−0.876917 | + | 0.480642i | \(0.840404\pi\) | |||||||
\(440\) | −4.24449 | − | 10.4030i | −0.202348 | − | 0.495942i | ||||
\(441\) | 1.77515 | + | 5.46335i | 0.0845309 | + | 0.260159i | ||||
\(442\) | 5.84732 | − | 25.7514i | 0.278129 | − | 1.22487i | ||||
\(443\) | −23.1555 | + | 23.1555i | −1.10015 | + | 1.10015i | −0.105759 | + | 0.994392i | \(0.533727\pi\) |
−0.994392 | + | 0.105759i | \(0.966273\pi\) | |||||||
\(444\) | 8.04004 | − | 4.34974i | 0.381563 | − | 0.206429i | ||||
\(445\) | 7.83917 | + | 8.53246i | 0.371612 | + | 0.404477i | ||||
\(446\) | −5.99598 | + | 7.19837i | −0.283918 | + | 0.340852i | ||||
\(447\) | −1.68624 | − | 10.6465i | −0.0797566 | − | 0.503563i | ||||
\(448\) | 2.11224 | + | 28.4813i | 0.0997938 | + | 1.34562i | ||||
\(449\) | − | 30.2498i | − | 1.42757i | −0.700362 | − | 0.713787i | \(-0.746978\pi\) | ||
0.700362 | − | 0.713787i | \(-0.253022\pi\) | |||||||
\(450\) | 2.14311 | − | 6.73848i | 0.101027 | − | 0.317655i | ||||
\(451\) | 10.9481i | 0.515524i | ||||||||
\(452\) | 3.89692 | + | 11.0574i | 0.183296 | + | 0.520096i | ||||
\(453\) | 0.834521 | + | 5.26896i | 0.0392092 | + | 0.247557i | ||||
\(454\) | 6.96847 | + | 5.80449i | 0.327047 | + | 0.272418i | ||||
\(455\) | 28.0371 | + | 5.66593i | 1.31440 | + | 0.265623i | ||||
\(456\) | −20.5908 | + | 9.43619i | −0.964251 | + | 0.441890i | ||||
\(457\) | 4.51323 | − | 4.51323i | 0.211120 | − | 0.211120i | −0.593623 | − | 0.804743i | \(-0.702303\pi\) |
0.804743 | + | 0.593623i | \(0.202303\pi\) | |||||||
\(458\) | 15.8766 | + | 3.60506i | 0.741863 | + | 0.168453i | ||||
\(459\) | 1.61030 | + | 4.95600i | 0.0751624 | + | 0.231326i | ||||
\(460\) | 24.8389 | + | 25.7314i | 1.15812 | + | 1.19973i | ||||
\(461\) | −5.35766 | + | 16.4892i | −0.249531 | + | 0.767977i | 0.745327 | + | 0.666699i | \(0.232293\pi\) |
−0.994858 | + | 0.101278i | \(0.967707\pi\) | |||||||
\(462\) | −4.59154 | + | 7.70450i | −0.213618 | + | 0.358446i | ||||
\(463\) | 3.65507 | + | 1.86235i | 0.169866 | + | 0.0865509i | 0.536856 | − | 0.843674i | \(-0.319612\pi\) |
−0.366990 | + | 0.930225i | \(0.619612\pi\) | |||||||
\(464\) | −12.8065 | − | 8.37153i | −0.594527 | − | 0.388639i | ||||
\(465\) | 2.57603 | + | 9.24177i | 0.119460 | + | 0.428577i | ||||
\(466\) | 9.95104 | + | 39.3062i | 0.460973 | + | 1.82083i | ||||
\(467\) | 11.9491 | + | 1.89255i | 0.552938 | + | 0.0875768i | 0.426650 | − | 0.904417i | \(-0.359694\pi\) |
0.126288 | + | 0.991994i | \(0.459694\pi\) | |||||||
\(468\) | −4.35415 | − | 5.69215i | −0.201271 | − | 0.263120i | ||||
\(469\) | −28.7792 | − | 39.6112i | −1.32890 | − | 1.82908i | ||||
\(470\) | −2.29099 | + | 0.111329i | −0.105675 | + | 0.00513521i | ||||
\(471\) | −2.25272 | + | 3.10060i | −0.103800 | + | 0.142868i | ||||
\(472\) | −0.0445627 | + | 1.07250i | −0.00205116 | + | 0.0493657i | ||||
\(473\) | −15.4593 | + | 7.87690i | −0.710819 | + | 0.362180i | ||||
\(474\) | −0.600699 | + | 9.06046i | −0.0275910 | + | 0.416161i | ||||
\(475\) | 36.8978 | + | 15.5481i | 1.69299 | + | 0.713395i | ||||
\(476\) | −4.91188 | + | 36.8806i | −0.225136 | + | 1.69042i | ||||
\(477\) | −0.436527 | − | 0.856733i | −0.0199872 | − | 0.0392271i | ||||
\(478\) | −0.734311 | + | 0.0669167i | −0.0335866 | + | 0.00306070i | ||||
\(479\) | −11.7109 | − | 8.50844i | −0.535083 | − | 0.388761i | 0.287173 | − | 0.957879i | \(-0.407285\pi\) |
−0.822256 | + | 0.569118i | \(0.807285\pi\) | |||||||
\(480\) | −12.5885 | + | 1.23646i | −0.574585 | + | 0.0564365i | ||||
\(481\) | −13.2499 | + | 9.62661i | −0.604143 | + | 0.438936i | ||||
\(482\) | 6.58968 | − | 5.77023i | 0.300152 | − | 0.262827i | ||||
\(483\) | 4.46609 | − | 28.1978i | 0.203214 | − | 1.28304i | ||||
\(484\) | 15.4297 | − | 2.83573i | 0.701351 | − | 0.128897i | ||||
\(485\) | −17.8882 | − | 6.66141i | −0.812264 | − | 0.302479i | ||||
\(486\) | 1.31314 | + | 0.525035i | 0.0595653 | + | 0.0238161i | ||||
\(487\) | −7.38610 | + | 14.4960i | −0.334696 | + | 0.656878i | −0.995612 | − | 0.0935824i | \(-0.970168\pi\) |
0.660915 | + | 0.750460i | \(0.270168\pi\) | |||||||
\(488\) | 17.8587 | − | 22.5488i | 0.808426 | − | 1.02074i | ||||
\(489\) | −12.4665 | − | 4.05061i | −0.563755 | − | 0.183175i | ||||
\(490\) | −18.0588 | − | 1.96754i | −0.815815 | − | 0.0888844i | ||||
\(491\) | 5.37125 | − | 1.74523i | 0.242401 | − | 0.0787609i | −0.185297 | − | 0.982683i | \(-0.559325\pi\) |
0.427698 | + | 0.903922i | \(0.359325\pi\) | |||||||
\(492\) | 11.8126 | + | 3.51839i | 0.532554 | + | 0.158621i | ||||
\(493\) | −14.0942 | − | 14.0942i | −0.634771 | − | 0.634771i | ||||
\(494\) | 34.3363 | − | 21.6285i | 1.54486 | − | 0.973111i | ||||
\(495\) | −3.45993 | − | 1.95155i | −0.155512 | − | 0.0877155i | ||||
\(496\) | 13.3701 | − | 10.7605i | 0.600336 | − | 0.483159i | ||||
\(497\) | −4.63302 | + | 0.733798i | −0.207819 | + | 0.0329153i | ||||
\(498\) | −0.913913 | + | 0.391834i | −0.0409534 | + | 0.0175585i | ||||
\(499\) | −42.0345 | −1.88172 | −0.940861 | − | 0.338792i | \(-0.889982\pi\) | ||||
−0.940861 | + | 0.338792i | \(0.889982\pi\) | |||||||
\(500\) | 16.6535 | + | 14.9218i | 0.744769 | + | 0.667322i | ||||
\(501\) | 10.5262 | 0.470278 | ||||||||
\(502\) | 17.5554 | − | 7.52674i | 0.783534 | − | 0.335935i | ||||
\(503\) | 13.5346 | − | 2.14367i | 0.603479 | − | 0.0955817i | 0.152784 | − | 0.988260i | \(-0.451176\pi\) |
0.450695 | + | 0.892678i | \(0.351176\pi\) | |||||||
\(504\) | 6.83732 | + | 7.43014i | 0.304559 | + | 0.330965i | ||||
\(505\) | 13.5182 | + | 7.62482i | 0.601550 | + | 0.339300i | ||||
\(506\) | 17.0000 | − | 10.7083i | 0.755742 | − | 0.476043i | ||||
\(507\) | −0.113284 | − | 0.113284i | −0.00503112 | − | 0.00503112i | ||||
\(508\) | −1.29939 | + | 4.36255i | −0.0576511 | + | 0.193557i | ||||
\(509\) | 15.7867 | − | 5.12941i | 0.699733 | − | 0.227357i | 0.0625186 | − | 0.998044i | \(-0.480087\pi\) |
0.637214 | + | 0.770687i | \(0.280087\pi\) | |||||||
\(510\) | −16.3818 | − | 1.78483i | −0.725399 | − | 0.0790334i | ||||
\(511\) | 2.78624 | + | 0.905305i | 0.123256 | + | 0.0400484i | ||||
\(512\) | 10.9223 | + | 19.8167i | 0.482703 | + | 0.875784i | ||||
\(513\) | −3.63554 | + | 7.13516i | −0.160513 | + | 0.315025i | ||||
\(514\) | −35.9628 | − | 14.3791i | −1.58625 | − | 0.634233i | ||||
\(515\) | −31.6025 | − | 11.7685i | −1.39257 | − | 0.518581i | ||||
\(516\) | 3.53076 | + | 19.2115i | 0.155433 | + | 0.845740i | ||||
\(517\) | −0.201572 | + | 1.27268i | −0.00886514 | + | 0.0559723i | ||||
\(518\) | 17.3606 | − | 15.2017i | 0.762779 | − | 0.667925i | ||||
\(519\) | 15.0237 | − | 10.9154i | 0.659469 | − | 0.479132i | ||||
\(520\) | 22.0642 | − | 5.17342i | 0.967578 | − | 0.226870i | ||||
\(521\) | −24.1796 | − | 17.5675i | −1.05933 | − | 0.769648i | −0.0853650 | − | 0.996350i | \(-0.527206\pi\) |
−0.973964 | + | 0.226702i | \(0.927206\pi\) | |||||||
\(522\) | −5.38704 | + | 0.490913i | −0.235784 | + | 0.0214867i | ||||
\(523\) | −19.4370 | − | 38.1472i | −0.849919 | − | 1.66806i | −0.738467 | − | 0.674289i | \(-0.764450\pi\) |
−0.111452 | − | 0.993770i | \(-0.535550\pi\) | |||||||
\(524\) | 26.9108 | + | 3.58406i | 1.17560 | + | 0.156571i | ||||
\(525\) | 1.50905 | − | 17.7858i | 0.0658604 | − | 0.776237i | ||||
\(526\) | 1.64218 | − | 24.7693i | 0.0716024 | − | 1.07999i | ||||
\(527\) | 19.9216 | − | 10.1505i | 0.867797 | − | 0.442165i | ||||
\(528\) | −0.764037 | + | 7.06478i | −0.0332504 | + | 0.307455i | ||||
\(529\) | −24.0721 | + | 33.1324i | −1.04661 | + | 1.44054i | ||||
\(530\) | 3.03705 | − | 0.147583i | 0.131921 | − | 0.00641061i | ||||
\(531\) | 0.223072 | + | 0.307032i | 0.00968049 | + | 0.0133240i | ||||
\(532\) | −45.4131 | + | 34.7383i | −1.96891 | + | 1.50610i | ||||
\(533\) | −21.8108 | − | 3.45450i | −0.944732 | − | 0.149631i | ||||
\(534\) | −1.79851 | − | 7.10405i | −0.0778292 | − | 0.307422i | ||||
\(535\) | −4.17797 | − | 14.9889i | −0.180630 | − | 0.648027i | ||||
\(536\) | −33.8032 | − | 19.0310i | −1.46007 | − | 0.822015i | ||||
\(537\) | −9.28130 | − | 4.72906i | −0.400518 | − | 0.204074i | ||||
\(538\) | 12.0082 | − | 20.1495i | 0.517711 | − | 0.868706i | ||||
\(539\) | −3.15354 | + | 9.70560i | −0.135833 | + | 0.418050i | ||||
\(540\) | −3.21758 | + | 3.10599i | −0.138463 | + | 0.133660i | ||||
\(541\) | 0.176397 | + | 0.542895i | 0.00758391 | + | 0.0233409i | 0.954777 | − | 0.297323i | \(-0.0960939\pi\) |
−0.947193 | + | 0.320664i | \(0.896094\pi\) | |||||||
\(542\) | −1.03620 | − | 0.235287i | −0.0445086 | − | 0.0101065i | ||||
\(543\) | −10.2437 | + | 10.2437i | −0.439600 | + | 0.439600i | ||||
\(544\) | 8.63554 | + | 28.1849i | 0.370246 | + | 1.20842i | ||||
\(545\) | 2.06382 | + | 0.417071i | 0.0884045 | + | 0.0178654i | ||||
\(546\) | −13.9002 | − | 11.5784i | −0.594873 | − | 0.495508i | ||||
\(547\) | −6.11765 | − | 38.6253i | −0.261572 | − | 1.65150i | −0.672695 | − | 0.739920i | \(-0.734863\pi\) |
0.411123 | − | 0.911580i | \(-0.365137\pi\) | |||||||
\(548\) | 36.4476 | − | 12.8451i | 1.55696 | − | 0.548716i | ||||
\(549\) | − | 10.1697i | − | 0.434033i | ||||||
\(550\) | 10.1164 | − | 7.44680i | 0.431365 | − | 0.317533i | ||||
\(551\) | − | 30.6304i | − | 1.30490i | ||||||
\(552\) | −6.09064 | − | 21.7838i | −0.259235 | − | 0.927181i | ||||
\(553\) | 3.58576 | + | 22.6396i | 0.152482 | + | 0.962734i | ||||
\(554\) | −16.0840 | + | 19.3093i | −0.683344 | + | 0.820375i | ||||
\(555\) | 6.91457 | + | 7.52608i | 0.293507 | + | 0.319464i | ||||
\(556\) | 12.5542 | + | 23.2051i | 0.532417 | + | 0.984117i | ||||
\(557\) | 3.14101 | − | 3.14101i | 0.133089 | − | 0.133089i | −0.637424 | − | 0.770513i | \(-0.720000\pi\) |
0.770513 | + | 0.637424i | \(0.220000\pi\) | |||||||
\(558\) | 1.34360 | − | 5.91720i | 0.0568793 | − | 0.250495i | ||||
\(559\) | −10.8145 | − | 33.2836i | −0.457404 | − | 1.40775i | ||||
\(560\) | −30.2976 | + | 10.0803i | −1.28031 | + | 0.425971i | ||||
\(561\) | −2.86069 | + | 8.80430i | −0.120778 | + | 0.371718i | ||||
\(562\) | −2.10861 | − | 1.25664i | −0.0889464 | − | 0.0530082i | ||||
\(563\) | −13.8062 | − | 7.03460i | −0.581861 | − | 0.296473i | 0.138177 | − | 0.990408i | \(-0.455876\pi\) |
−0.720038 | + | 0.693935i | \(0.755876\pi\) | |||||||
\(564\) | 1.30840 | + | 0.626493i | 0.0550936 | + | 0.0263801i | ||||
\(565\) | −10.9209 | + | 7.24902i | −0.459447 | + | 0.304969i | ||||
\(566\) | −2.90139 | + | 0.734537i | −0.121955 | + | 0.0308749i | ||||
\(567\) | 3.52599 | + | 0.558462i | 0.148078 | + | 0.0234532i | ||||
\(568\) | −3.09476 | + | 2.05777i | −0.129853 | + | 0.0863420i | ||||
\(569\) | 24.2879 | + | 33.4294i | 1.01820 | + | 1.40143i | 0.913458 | + | 0.406932i | \(0.133402\pi\) |
0.104742 | + | 0.994499i | \(0.466598\pi\) | |||||||
\(570\) | −15.8616 | − | 19.7405i | −0.664368 | − | 0.826838i | ||||
\(571\) | −21.3423 | + | 29.3752i | −0.893147 | + | 1.22931i | 0.0794554 | + | 0.996838i | \(0.474682\pi\) |
−0.972603 | + | 0.232473i | \(0.925318\pi\) | |||||||
\(572\) | −0.314120 | − | 12.7274i | −0.0131340 | − | 0.532160i | ||||
\(573\) | 11.9571 | − | 6.09244i | 0.499514 | − | 0.254515i | ||||
\(574\) | 31.0454 | + | 2.05828i | 1.29581 | + | 0.0859108i | ||||
\(575\) | −21.1001 | + | 33.9652i | −0.879935 | + | 1.41645i | ||||
\(576\) | 7.37714 | + | 3.09479i | 0.307381 | + | 0.128950i | ||||
\(577\) | −11.7252 | − | 23.0120i | −0.488127 | − | 0.958004i | −0.995362 | − | 0.0961960i | \(-0.969332\pi\) |
0.507235 | − | 0.861808i | \(-0.330668\pi\) | |||||||
\(578\) | 1.30332 | + | 14.3020i | 0.0542111 | + | 0.594886i | ||||
\(579\) | 2.18750 | + | 1.58931i | 0.0909094 | + | 0.0660495i | ||||
\(580\) | 5.57225 | − | 16.1729i | 0.231375 | − | 0.671542i | ||||
\(581\) | −2.03073 | + | 1.47541i | −0.0842488 | + | 0.0612103i | ||||
\(582\) | 7.95313 | + | 9.08258i | 0.329668 | + | 0.376485i | ||||
\(583\) | 0.267215 | − | 1.68713i | 0.0110669 | − | 0.0698737i | ||||
\(584\) | 2.30563 | − | 0.267615i | 0.0954078 | − | 0.0110740i | ||||
\(585\) | 4.97962 | − | 6.27713i | 0.205882 | − | 0.259527i | ||||
\(586\) | 3.64752 | − | 9.12263i | 0.150678 | − | 0.376852i | ||||
\(587\) | 14.1378 | − | 27.7471i | 0.583531 | − | 1.14524i | −0.390873 | − | 0.920444i | \(-0.627827\pi\) |
0.974405 | − | 0.224800i | \(-0.0721730\pi\) | |||||||
\(588\) | 9.45859 | + | 6.52168i | 0.390066 | + | 0.268950i | ||||
\(589\) | 32.6774 | + | 10.6175i | 1.34645 | + | 0.437487i | ||||
\(590\) | −1.17484 | + | 0.245053i | −0.0483673 | + | 0.0100887i | ||||
\(591\) | 0.570807 | − | 0.185466i | 0.0234799 | − | 0.00762907i | ||||
\(592\) | 7.48638 | − | 16.6794i | 0.307688 | − | 0.685521i | ||||
\(593\) | −15.4757 | − | 15.4757i | −0.635512 | − | 0.635512i | 0.313933 | − | 0.949445i | \(-0.398353\pi\) |
−0.949445 | + | 0.313933i | \(0.898353\pi\) | |||||||
\(594\) | 1.33902 | + | 2.12577i | 0.0549408 | + | 0.0872212i | ||||
\(595\) | −41.3243 | + | 4.76322i | −1.69413 | + | 0.195273i | ||||
\(596\) | −15.6156 | − | 14.8634i | −0.639641 | − | 0.608828i | ||||
\(597\) | 13.3171 | − | 2.10922i | 0.545032 | − | 0.0863245i | ||||
\(598\) | 15.9691 | + | 37.2464i | 0.653027 | + | 1.52312i | ||||
\(599\) | −31.3256 | −1.27993 | −0.639964 | − | 0.768405i | \(-0.721051\pi\) | ||||
−0.639964 | + | 0.768405i | \(0.721051\pi\) | |||||||
\(600\) | −4.78375 | − | 13.3085i | −0.195296 | − | 0.543317i | ||||
\(601\) | 28.3857 | 1.15788 | 0.578938 | − | 0.815371i | \(-0.303467\pi\) | ||||
0.578938 | + | 0.815371i | \(0.303467\pi\) | |||||||
\(602\) | 19.4301 | + | 45.3188i | 0.791913 | + | 1.84706i | ||||
\(603\) | −13.5463 | + | 2.14552i | −0.551646 | + | 0.0873722i | ||||
\(604\) | 7.72816 | + | 7.35588i | 0.314454 | + | 0.299306i | ||||
\(605\) | 7.29460 | + | 15.9510i | 0.296567 | + | 0.648502i | ||||
\(606\) | −5.23165 | − | 8.30550i | −0.212521 | − | 0.337388i | ||||
\(607\) | −28.9484 | − | 28.9484i | −1.17498 | − | 1.17498i | −0.981007 | − | 0.193971i | \(-0.937863\pi\) |
−0.193971 | − | 0.981007i | \(-0.562137\pi\) | |||||||
\(608\) | −21.2429 | + | 40.0103i | −0.861515 | + | 1.62263i | ||||
\(609\) | −12.9867 | + | 4.21963i | −0.526247 | + | 0.170988i | ||||
\(610\) | 29.3291 | + | 13.1921i | 1.18750 | + | 0.534132i | ||||
\(611\) | −2.47184 | − | 0.803149i | −0.0999998 | − | 0.0324919i | ||||
\(612\) | 8.58022 | + | 5.91605i | 0.346835 | + | 0.239142i | ||||
\(613\) | 12.3671 | − | 24.2717i | 0.499501 | − | 0.980325i | −0.494315 | − | 0.869283i | \(-0.664581\pi\) |
0.993816 | − | 0.111042i | \(-0.0354189\pi\) | |||||||
\(614\) | 12.1049 | − | 30.2750i | 0.488515 | − | 1.22180i | ||||
\(615\) | −0.583028 | + | 13.7679i | −0.0235100 | + | 0.555177i | ||||
\(616\) | 2.06816 | + | 17.8182i | 0.0833287 | + | 0.717916i | ||||
\(617\) | 6.15144 | − | 38.8387i | 0.247648 | − | 1.56359i | −0.479772 | − | 0.877393i | \(-0.659281\pi\) |
0.727420 | − | 0.686193i | \(-0.240719\pi\) | |||||||
\(618\) | 14.0505 | + | 16.0459i | 0.565194 | + | 0.645459i | ||||
\(619\) | 16.7641 | − | 12.1798i | 0.673805 | − | 0.489548i | −0.197492 | − | 0.980305i | \(-0.563280\pi\) |
0.871297 | + | 0.490757i | \(0.163280\pi\) | |||||||
\(620\) | 15.3221 | + | 11.5507i | 0.615351 | + | 0.463886i | ||||
\(621\) | −6.46980 | − | 4.70059i | −0.259624 | − | 0.188628i | ||||
\(622\) | −2.20924 | − | 24.2431i | −0.0885825 | − | 0.972060i | ||||
\(623\) | −8.39825 | − | 16.4825i | −0.336469 | − | 0.660358i | ||||
\(624\) | −13.8335 | − | 3.75131i | −0.553781 | − | 0.150173i | ||||
\(625\) | −11.6208 | + | 22.1350i | −0.464832 | + | 0.885399i | ||||
\(626\) | −18.7761 | − | 1.24484i | −0.750445 | − | 0.0497537i | ||||
\(627\) | −12.6756 | + | 6.45852i | −0.506213 | + | 0.257928i | ||||
\(628\) | 0.189121 | + | 7.66276i | 0.00754676 | + | 0.305778i | ||||
\(629\) | 13.9997 | − | 19.2689i | 0.558205 | − | 0.768303i | ||||
\(630\) | −6.18448 | + | 9.44443i | −0.246396 | + | 0.376275i | ||||
\(631\) | 3.00791 | + | 4.14003i | 0.119743 | + | 0.164812i | 0.864681 | − | 0.502322i | \(-0.167521\pi\) |
−0.744938 | + | 0.667134i | \(0.767521\pi\) | |||||||
\(632\) | 10.0554 | + | 15.1228i | 0.399984 | + | 0.601553i | ||||
\(633\) | 19.3976 | + | 3.07228i | 0.770987 | + | 0.122112i | ||||
\(634\) | −13.7794 | + | 3.48850i | −0.547252 | + | 0.138546i | ||||
\(635\) | −5.08468 | − | 0.215320i | −0.201780 | − | 0.00854472i | ||||
\(636\) | −1.73448 | − | 0.830512i | −0.0687768 | − | 0.0329320i | ||||
\(637\) | −18.3405 | − | 9.34497i | −0.726679 | − | 0.370261i | ||||
\(638\) | −8.25493 | − | 4.91958i | −0.326816 | − | 0.194768i | ||||
\(639\) | −0.406036 | + | 1.24965i | −0.0160625 | + | 0.0494354i | ||||
\(640\) | −18.4949 | + | 17.2609i | −0.731074 | + | 0.682298i | ||||
\(641\) | −5.97115 | − | 18.3773i | −0.235846 | − | 0.725860i | −0.997008 | − | 0.0772982i | \(-0.975371\pi\) |
0.761162 | − | 0.648562i | \(-0.224629\pi\) | |||||||
\(642\) | −2.17915 | + | 9.59690i | −0.0860041 | + | 0.378759i | ||||
\(643\) | −32.4834 | + | 32.4834i | −1.28102 | + | 1.28102i | −0.340934 | + | 0.940087i | \(0.610743\pi\) |
−0.940087 | + | 0.340934i | \(0.889257\pi\) | |||||||
\(644\) | −27.1695 | − | 50.2201i | −1.07063 | − | 1.97895i | ||||
\(645\) | −19.8606 | + | 9.08249i | −0.782011 | + | 0.357623i | ||||
\(646\) | −37.7706 | + | 45.3448i | −1.48606 | + | 1.78407i | ||||
\(647\) | −7.74473 | − | 48.8983i | −0.304477 | − | 1.92239i | −0.379466 | − | 0.925206i | \(-0.623892\pi\) |
0.0749889 | − | 0.997184i | \(-0.476108\pi\) | |||||||
\(648\) | 2.72396 | − | 0.761605i | 0.107007 | − | 0.0299187i | ||||
\(649\) | 0.674201i | 0.0264647i | ||||||||
\(650\) | 11.6435 | + | 22.5037i | 0.456696 | + | 0.882669i | ||||
\(651\) | − | 15.3172i | − | 0.600328i | ||||||
\(652\) | −24.7255 | + | 8.71393i | −0.968327 | + | 0.341264i | ||||
\(653\) | 4.30130 | + | 27.1573i | 0.168323 | + | 1.06275i | 0.916730 | + | 0.399508i | \(0.130819\pi\) |
−0.748407 | + | 0.663240i | \(0.769181\pi\) | |||||||
\(654\) | −1.02320 | − | 0.852287i | −0.0400102 | − | 0.0333271i | ||||
\(655\) | 3.47559 | + | 30.1532i | 0.135803 | + | 1.17818i | ||||
\(656\) | 23.0401 | − | 8.76482i | 0.899565 | − | 0.342209i | ||||
\(657\) | 0.580278 | − | 0.580278i | 0.0226388 | − | 0.0226388i | ||||
\(658\) | 3.57103 | + | 0.810867i | 0.139213 | + | 0.0316109i | ||||
\(659\) | 9.63281 | + | 29.6468i | 0.375241 | + | 1.15487i | 0.943316 | + | 0.331897i | \(0.107688\pi\) |
−0.568075 | + | 0.822977i | \(0.692312\pi\) | |||||||
\(660\) | −7.86762 | + | 1.10418i | −0.306247 | + | 0.0429800i | ||||
\(661\) | −4.52162 | + | 13.9161i | −0.175871 | + | 0.541275i | −0.999672 | − | 0.0256039i | \(-0.991849\pi\) |
0.823801 | + | 0.566879i | \(0.191849\pi\) | |||||||
\(662\) | −5.32214 | + | 8.93041i | −0.206851 | + | 0.347090i | ||||
\(663\) | −16.6374 | − | 8.47716i | −0.646142 | − | 0.329226i | ||||
\(664\) | −0.975653 | + | 1.73297i | −0.0378627 | + | 0.0672522i | ||||
\(665\) | −50.0802 | − | 39.7284i | −1.94203 | − | 1.54060i | ||||
\(666\) | −1.58638 | − | 6.26615i | −0.0614711 | − | 0.242808i | ||||
\(667\) | 30.2123 | + | 4.78516i | 1.16983 | + | 0.185282i | ||||
\(668\) | 16.7213 | − | 12.7908i | 0.646968 | − | 0.494891i | ||||
\(669\) | 3.89379 | + | 5.35934i | 0.150543 | + | 0.207204i | ||||
\(670\) | 11.3845 | − | 41.8502i | 0.439822 | − | 1.61681i | ||||
\(671\) | 10.6192 | − | 14.6160i | 0.409949 | − | 0.564246i | ||||
\(672\) | 19.8900 | + | 3.49479i | 0.767272 | + | 0.134814i | ||||
\(673\) | −16.1307 | + | 8.21898i | −0.621791 | + | 0.316818i | −0.736353 | − | 0.676598i | \(-0.763454\pi\) |
0.114562 | + | 0.993416i | \(0.463454\pi\) | |||||||
\(674\) | 0.779880 | − | 11.7631i | 0.0300399 | − | 0.453097i | ||||
\(675\) | −4.24718 | − | 2.63846i | −0.163474 | − | 0.101554i | ||||
\(676\) | −0.317611 | − | 0.0423005i | −0.0122158 | − | 0.00162694i | ||||
\(677\) | 5.17897 | + | 10.1643i | 0.199044 | + | 0.390646i | 0.968856 | − | 0.247625i | \(-0.0796500\pi\) |
−0.769812 | + | 0.638271i | \(0.779650\pi\) | |||||||
\(678\) | 8.25590 | − | 0.752349i | 0.317066 | − | 0.0288938i | ||||
\(679\) | 24.6548 | + | 17.9128i | 0.946165 | + | 0.687429i | ||||
\(680\) | −28.1919 | + | 17.0709i | −1.08111 | + | 0.654637i | ||||
\(681\) | 5.18818 | − | 3.76943i | 0.198812 | − | 0.144445i | ||||
\(682\) | 8.10977 | − | 7.10129i | 0.310539 | − | 0.271922i | ||||
\(683\) | −4.41481 | + | 27.8740i | −0.168928 | + | 1.06657i | 0.746882 | + | 0.664957i | \(0.231550\pi\) |
−0.915810 | + | 0.401612i | \(0.868450\pi\) | |||||||
\(684\) | 2.89498 | + | 15.7521i | 0.110692 | + | 0.602298i | ||||
\(685\) | 23.8944 | + | 35.9978i | 0.912957 | + | 1.37540i | ||||
\(686\) | −5.88557 | − | 2.35324i | −0.224712 | − | 0.0898471i | ||||
\(687\) | 5.22643 | − | 10.2575i | 0.199401 | − | 0.391346i | ||||
\(688\) | 28.9533 | + | 26.2278i | 1.10383 | + | 0.999927i | ||||
\(689\) | 3.27680 | + | 1.06470i | 0.124836 | + | 0.0405617i | ||||
\(690\) | 21.9489 | − | 12.5612i | 0.835582 | − | 0.478195i | ||||
\(691\) | 18.6645 | − | 6.06447i | 0.710032 | − | 0.230703i | 0.0683357 | − | 0.997662i | \(-0.478231\pi\) |
0.641696 | + | 0.766959i | \(0.278231\pi\) | |||||||
\(692\) | 10.6021 | − | 35.5953i | 0.403031 | − | 1.35313i | ||||
\(693\) | 4.48446 | + | 4.48446i | 0.170351 | + | 0.170351i | ||||
\(694\) | −4.08091 | + | 2.57058i | −0.154909 | + | 0.0975777i | ||||
\(695\) | −21.7217 | + | 19.9568i | −0.823953 | + | 0.757004i | ||||
\(696\) | −7.96098 | + | 7.32581i | −0.301760 | + | 0.277684i | ||||
\(697\) | 31.7189 | − | 5.02378i | 1.20144 | − | 0.190289i | ||||
\(698\) | −7.03632 | + | 3.01678i | −0.266329 | + | 0.114187i | ||||
\(699\) | 28.6706 | 1.08442 | ||||||||
\(700\) | −19.2150 | − | 30.0871i | −0.726258 | − | 1.13719i | ||||
\(701\) | −17.2805 | −0.652676 | −0.326338 | − | 0.945253i | \(-0.605815\pi\) | ||||
−0.326338 | + | 0.945253i | \(0.605815\pi\) | |||||||
\(702\) | −4.65748 | + | 1.99686i | −0.175785 | + | 0.0753667i | ||||
\(703\) | 36.1508 | − | 5.72573i | 1.36345 | − | 0.215950i | ||||
\(704\) | 7.37096 | + | 12.1511i | 0.277803 | + | 0.457961i | ||||
\(705\) | −0.321266 | + | 1.58975i | −0.0120996 | + | 0.0598733i | ||||
\(706\) | −16.0724 | + | 10.1240i | −0.604892 | + | 0.381022i | ||||
\(707\) | −17.5211 | − | 17.5211i | −0.658948 | − | 0.658948i | ||||
\(708\) | 0.727443 | + | 0.216669i | 0.0273390 | + | 0.00814293i | ||||
\(709\) | 40.5291 | − | 13.1687i | 1.52210 | − | 0.494561i | 0.575730 | − | 0.817640i | \(-0.304718\pi\) |
0.946372 | + | 0.323078i | \(0.104718\pi\) | |||||||
\(710\) | −3.07725 | − | 2.79204i | −0.115487 | − | 0.104783i | ||||
\(711\) | 6.10652 | + | 1.98413i | 0.229012 | + | 0.0744107i | ||||
\(712\) | −11.4894 | − | 9.09961i | −0.430583 | − | 0.341022i | ||||
\(713\) | −15.5775 | + | 30.5726i | −0.583382 | + | 1.14495i | ||||
\(714\) | 24.4285 | + | 9.76730i | 0.914215 | + | 0.365532i | ||||
\(715\) | 13.7113 | − | 3.82187i | 0.512775 | − | 0.142930i | ||||
\(716\) | −20.4901 | + | 3.76575i | −0.765752 | + | 0.140733i | ||||
\(717\) | −0.0815630 | + | 0.514969i | −0.00304603 | + | 0.0192319i | ||||
\(718\) | −2.37865 | + | 2.08285i | −0.0887703 | + | 0.0777314i | ||||
\(719\) | −31.8154 | + | 23.1153i | −1.18652 | + | 0.862054i | −0.992892 | − | 0.119022i | \(-0.962024\pi\) |
−0.193624 | + | 0.981076i | \(0.562024\pi\) | |||||||
\(720\) | −1.33706 | + | 8.84377i | −0.0498292 | + | 0.329588i | ||||
\(721\) | 43.5568 | + | 31.6458i | 1.62214 | + | 1.17855i | ||||
\(722\) | −63.5567 | + | 5.79184i | −2.36534 | + | 0.215550i | ||||
\(723\) | −2.81180 | − | 5.51847i | −0.104572 | − | 0.205234i | ||||
\(724\) | −3.82503 | + | 28.7200i | −0.142156 | + | 1.06737i | ||||
\(725\) | 19.0565 | + | 1.61686i | 0.707741 | + | 0.0600488i | ||||
\(726\) | 0.733855 | − | 11.0689i | 0.0272359 | − | 0.410805i | ||||
\(727\) | −18.3617 | + | 9.35574i | −0.680997 | + | 0.346985i | −0.760031 | − | 0.649887i | \(-0.774816\pi\) |
0.0790342 | + | 0.996872i | \(0.474816\pi\) | |||||||
\(728\) | −36.1502 | − | 1.50206i | −1.33982 | − | 0.0556699i | ||||
\(729\) | 0.587785 | − | 0.809017i | 0.0217698 | − | 0.0299636i | ||||
\(730\) | 0.920772 | + | 2.42624i | 0.0340793 | + | 0.0897991i | ||||
\(731\) | 29.9150 | + | 41.1744i | 1.10644 | + | 1.52289i | ||||
\(732\) | −12.3576 | − | 16.1550i | −0.456749 | − | 0.597104i | ||||
\(733\) | −47.2049 | − | 7.47652i | −1.74355 | − | 0.276151i | −0.798244 | − | 0.602334i | \(-0.794238\pi\) |
−0.945307 | + | 0.326182i | \(0.894238\pi\) | |||||||
\(734\) | 10.8007 | + | 42.6621i | 0.398659 | + | 1.57469i | ||||
\(735\) | −4.48266 | + | 12.0375i | −0.165345 | + | 0.444011i | ||||
\(736\) | −36.1455 | − | 27.2035i | −1.33234 | − | 1.00273i | ||||
\(737\) | −21.7092 | − | 11.0614i | −0.799669 | − | 0.407452i | ||||
\(738\) | 4.46177 | − | 7.48673i | 0.164240 | − | 0.275590i | ||||
\(739\) | −1.15571 | + | 3.55691i | −0.0425135 | + | 0.130843i | −0.970060 | − | 0.242864i | \(-0.921913\pi\) |
0.927547 | + | 0.373707i | \(0.121913\pi\) | |||||||
\(740\) | 20.1292 | + | 3.55333i | 0.739966 | + | 0.130623i | ||||
\(741\) | −8.86715 | − | 27.2903i | −0.325743 | − | 1.00253i | ||||
\(742\) | −4.73395 | − | 1.07493i | −0.173789 | − | 0.0394619i | ||||
\(743\) | 2.21502 | − | 2.21502i | 0.0812612 | − | 0.0812612i | −0.665308 | − | 0.746569i | \(-0.731700\pi\) |
0.746569 | + | 0.665308i | \(0.231700\pi\) | |||||||
\(744\) | −5.05582 | − | 11.0323i | −0.185356 | − | 0.404465i | ||||
\(745\) | 11.8414 | − | 20.9938i | 0.433836 | − | 0.769154i | ||||
\(746\) | −1.07005 | − | 0.891311i | −0.0391772 | − | 0.0326332i | ||||
\(747\) | 0.109993 | + | 0.694468i | 0.00402443 | + | 0.0254093i | ||||
\(748\) | 6.15410 | + | 17.4621i | 0.225016 | + | 0.638477i | ||||
\(749\) | 24.8425i | 0.907723i | ||||||||
\(750\) | 13.1187 | − | 8.82614i | 0.479026 | − | 0.322285i | ||||
\(751\) | − | 6.92884i | − | 0.252837i | −0.991977 | − | 0.126419i | \(-0.959652\pi\) | ||
0.991977 | − | 0.126419i | \(-0.0403482\pi\) | |||||||
\(752\) | 2.83971 | − | 0.594675i | 0.103554 | − | 0.0216856i | ||||
\(753\) | −2.11286 | − | 13.3401i | −0.0769968 | − | 0.486139i | ||||
\(754\) | 12.4056 | − | 14.8933i | 0.451784 | − | 0.542381i | ||||
\(755\) | −5.86031 | + | 10.3898i | −0.213278 | + | 0.378125i | ||||
\(756\) | 6.27977 | − | 3.39742i | 0.228393 | − | 0.123563i | ||||
\(757\) | −22.6524 | + | 22.6524i | −0.823315 | + | 0.823315i | −0.986582 | − | 0.163267i | \(-0.947797\pi\) |
0.163267 | + | 0.986582i | \(0.447797\pi\) | |||||||
\(758\) | 1.44339 | − | 6.35667i | 0.0524265 | − | 0.230885i | ||||
\(759\) | −4.39015 | − | 13.5115i | −0.159352 | − | 0.490436i | ||||
\(760\) | −49.1840 | − | 12.0845i | −1.78409 | − | 0.438352i | ||||
\(761\) | 0.235070 | − | 0.723470i | 0.00852126 | − | 0.0262258i | −0.946705 | − | 0.322100i | \(-0.895611\pi\) |
0.955227 | + | 0.295875i | \(0.0956111\pi\) | |||||||
\(762\) | 2.76495 | + | 1.64779i | 0.100164 | + | 0.0596931i | ||||
\(763\) | −2.99517 | − | 1.52612i | −0.108433 | − | 0.0552491i | ||||
\(764\) | 11.5911 | − | 24.2075i | 0.419353 | − | 0.875798i | ||||
\(765\) | −4.06638 | + | 10.9197i | −0.147020 | + | 0.394802i | ||||
\(766\) | −0.00566866 | + | 0.00143512i | −0.000204817 | + | 5.18529e-5i | ||||
\(767\) | −1.34315 | − | 0.212734i | −0.0484984 | − | 0.00768139i | ||||
\(768\) | 15.4795 | − | 4.04803i | 0.558567 | − | 0.146071i | ||||
\(769\) | −30.0152 | − | 41.3124i | −1.08238 | − | 1.48976i | −0.856878 | − | 0.515520i | \(-0.827599\pi\) |
−0.225499 | − | 0.974243i | \(-0.572401\pi\) | |||||||
\(770\) | −18.7503 | + | 7.11584i | −0.675713 | + | 0.256437i | ||||
\(771\) | −16.0976 | + | 22.1564i | −0.579741 | + | 0.797944i | ||||
\(772\) | 5.40615 | − | 0.133427i | 0.194572 | − | 0.00480213i | ||||
\(773\) | 17.0506 | − | 8.68774i | 0.613269 | − | 0.312476i | −0.119625 | − | 0.992819i | \(-0.538169\pi\) |
0.732894 | + | 0.680343i | \(0.238169\pi\) | |||||||
\(774\) | 13.7819 | + | 0.913722i | 0.495378 | + | 0.0328431i | ||||
\(775\) | −8.33052 | + | 19.7695i | −0.299241 | + | 0.710142i | ||||
\(776\) | 23.6704 | + | 4.76389i | 0.849718 | + | 0.171014i | ||||
\(777\) | −7.40771 | − | 14.5384i | −0.265750 | − | 0.521564i | ||||
\(778\) | −4.20804 | − | 46.1770i | −0.150866 | − | 1.65552i | ||||
\(779\) | 39.9258 | + | 29.0078i | 1.43049 | + | 1.03931i | ||||
\(780\) | 0.282759 | − | 16.0224i | 0.0101244 | − | 0.573692i | ||||
\(781\) | −1.88844 | + | 1.37203i | −0.0675738 | + | 0.0490952i | ||||
\(782\) | −38.8252 | − | 44.3389i | −1.38839 | − | 1.58555i | ||||
\(783\) | −0.598361 | + | 3.77790i | −0.0213837 | + | 0.135011i | ||||
\(784\) | 22.9500 | − | 1.13353i | 0.819644 | − | 0.0404832i | ||||
\(785\) | −8.25515 | + | 2.30102i | −0.294639 | + | 0.0821269i | ||||
\(786\) | 7.12693 | − | 17.8248i | 0.254209 | − | 0.635790i | ||||
\(787\) | 9.10516 | − | 17.8699i | 0.324564 | − | 0.636993i | −0.669856 | − | 0.742491i | \(-0.733644\pi\) |
0.994419 | + | 0.105499i | \(0.0336440\pi\) | |||||||
\(788\) | 0.681381 | − | 0.988227i | 0.0242732 | − | 0.0352041i | ||||
\(789\) | −16.6939 | − | 5.42417i | −0.594318 | − | 0.193106i | ||||
\(790\) | −13.6435 | + | 15.0372i | −0.485414 | + | 0.535001i | ||||
\(791\) | 19.9028 | − | 6.46680i | 0.707661 | − | 0.229933i | ||||
\(792\) | 4.71018 | + | 1.74976i | 0.167369 | + | 0.0621751i | ||||
\(793\) | 25.7675 | + | 25.7675i | 0.915031 | + | 0.915031i | ||||
\(794\) | 22.2027 | + | 35.2479i | 0.787945 | + | 1.25090i | ||||
\(795\) | 0.425888 | − | 2.10745i | 0.0151047 | − | 0.0747436i | ||||
\(796\) | 18.5917 | − | 19.5326i | 0.658964 | − | 0.692315i | ||||
\(797\) | −29.4775 | + | 4.66878i | −1.04415 | + | 0.165377i | −0.654868 | − | 0.755743i | \(-0.727276\pi\) |
−0.389279 | + | 0.921120i | \(0.627276\pi\) | |||||||
\(798\) | 15.9314 | + | 37.1583i | 0.563965 | + | 1.31539i | ||||
\(799\) | 3.77972 | 0.133717 | ||||||||
\(800\) | −23.7708 | − | 15.3281i | −0.840423 | − | 0.541931i | ||||
\(801\) | −5.18180 | −0.183090 | ||||||||
\(802\) | −5.36771 | − | 12.5196i | −0.189540 | − | 0.442084i | ||||
\(803\) | 1.43991 | − | 0.228059i | 0.0508133 | − | 0.00804803i | ||||
\(804\) | −18.9116 | + | 19.8687i | −0.666962 | + | 0.700717i | ||||
\(805\) | 47.0098 | − | 43.1901i | 1.65688 | − | 1.52225i | ||||
\(806\) | 11.5883 | + | 18.3971i | 0.408182 | + | 0.648009i | ||||
\(807\) | −11.7282 | − | 11.7282i | −0.412851 | − | 0.412851i | ||||
\(808\) | −18.4030 | − | 6.83643i | −0.647414 | − | 0.240505i | ||||
\(809\) | −36.0573 | + | 11.7157i | −1.26771 | + | 0.411903i | −0.864235 | − | 0.503088i | \(-0.832197\pi\) |
−0.403473 | + | 0.914991i | \(0.632197\pi\) | |||||||
\(810\) | 1.57071 | + | 2.74461i | 0.0551891 | + | 0.0964357i | ||||
\(811\) | 24.7577 | + | 8.04427i | 0.869361 | + | 0.282473i | 0.709533 | − | 0.704672i | \(-0.248906\pi\) |
0.159828 | + | 0.987145i | \(0.448906\pi\) | |||||||
\(812\) | −15.5024 | + | 22.4836i | −0.544028 | + | 0.789020i | ||||
\(813\) | −0.341108 | + | 0.669462i | −0.0119632 | + | 0.0234791i | ||||
\(814\) | 4.26312 | − | 10.6623i | 0.149422 | − | 0.373713i | ||||
\(815\) | −16.2096 | − | 24.4204i | −0.567797 | − | 0.855408i | ||||
\(816\) | 20.8188 | − | 1.02826i | 0.728804 | − | 0.0359965i | ||||
\(817\) | −12.2349 | + | 77.2480i | −0.428044 | + | 2.70257i | ||||
\(818\) | 12.7020 | + | 14.5058i | 0.444115 | + | 0.507185i | ||||
\(819\) | −10.3490 | + | 7.51898i | −0.361623 | + | 0.262735i | ||||
\(820\) | 15.8037 | + | 22.5793i | 0.551891 | + | 0.788505i | ||||
\(821\) | 36.7692 | + | 26.7144i | 1.28325 | + | 0.932338i | 0.999646 | − | 0.0266020i | \(-0.00846867\pi\) |
0.283608 | + | 0.958940i | \(0.408469\pi\) | |||||||
\(822\) | −2.47991 | − | 27.2133i | −0.0864967 | − | 0.949172i | ||||
\(823\) | −11.6738 | − | 22.9111i | −0.406923 | − | 0.798632i | 0.593055 | − | 0.805162i | \(-0.297922\pi\) |
−0.999979 | + | 0.00652958i | \(0.997922\pi\) | |||||||
\(824\) | 41.8176 | + | 8.41619i | 1.45679 | + | 0.293192i | ||||
\(825\) | −3.34903 | − | 8.22693i | −0.116598 | − | 0.286425i | ||||
\(826\) | 1.91183 | + | 0.126752i | 0.0665212 | + | 0.00441028i | ||||
\(827\) | 30.8433 | − | 15.7154i | 1.07253 | − | 0.546480i | 0.173707 | − | 0.984797i | \(-0.444426\pi\) |
0.898820 | + | 0.438318i | \(0.144426\pi\) | |||||||
\(828\) | −15.9894 | + | 0.394626i | −0.555669 | + | 0.0137142i | ||||
\(829\) | −1.77914 | + | 2.44877i | −0.0617919 | + | 0.0850493i | −0.838795 | − | 0.544448i | \(-0.816739\pi\) |
0.777003 | + | 0.629497i | \(0.216739\pi\) | |||||||
\(830\) | −2.14551 | − | 0.583643i | −0.0744717 | − | 0.0202586i | ||||
\(831\) | 10.4449 | + | 14.3762i | 0.362331 | + | 0.498706i | ||||
\(832\) | −26.5333 | + | 10.8504i | −0.919876 | + | 0.376170i | ||||
\(833\) | 29.5663 | + | 4.68284i | 1.02441 | + | 0.162251i | ||||
\(834\) | 18.0853 | − | 4.57861i | 0.626244 | − | 0.158544i | ||||
\(835\) | 18.4398 | + | 14.6282i | 0.638134 | + | 0.506230i | ||||
\(836\) | −12.2876 | + | 25.6621i | −0.424976 | + | 0.887543i | ||||
\(837\) | −3.82295 | − | 1.94789i | −0.132141 | − | 0.0673290i | ||||
\(838\) | −22.2511 | − | 13.2607i | −0.768653 | − | 0.458083i | ||||
\(839\) | 1.63366 | − | 5.02788i | 0.0564001 | − | 0.173582i | −0.918888 | − | 0.394518i | \(-0.870911\pi\) |
0.975288 | + | 0.220937i | \(0.0709114\pi\) | |||||||
\(840\) | 1.65197 | + | 22.5178i | 0.0569983 | + | 0.776938i | ||||
\(841\) | 4.44040 | + | 13.6661i | 0.153117 | + | 0.471246i | ||||
\(842\) | −2.37753 | + | 10.4706i | −0.0819351 | + | 0.360840i | ||||
\(843\) | −1.22733 | + | 1.22733i | −0.0422716 | + | 0.0422716i | ||||
\(844\) | 34.5471 | − | 18.6903i | 1.18916 | − | 0.643347i | ||||
\(845\) | −0.0410203 | − | 0.355880i | −0.00141114 | − | 0.0122426i | ||||
\(846\) | 0.656510 | − | 0.788160i | 0.0225713 | − | 0.0270975i | ||||
\(847\) | −4.38062 | − | 27.6581i | −0.150520 | − | 0.950344i | ||||
\(848\) | −3.76448 | + | 0.788333i | −0.129273 | + | 0.0270715i | ||||
\(849\) | 2.11632i | 0.0726319i | ||||||||
\(850\) | −26.2172 | − | 25.8923i | −0.899241 | − | 0.888097i | ||||
\(851\) | 36.5518i | 1.25298i | ||||||||
\(852\) | 0.873491 | + | 2.47851i | 0.0299253 | + | 0.0849122i | ||||
\(853\) | −6.49369 | − | 40.9996i | −0.222340 | − | 1.40380i | −0.806056 | − | 0.591840i | \(-0.798402\pi\) |
0.583716 | − | 0.811958i | \(-0.301598\pi\) | |||||||
\(854\) | −39.4503 | − | 32.8607i | −1.34996 | − | 1.12447i | ||||
\(855\) | −16.2843 | + | 7.44702i | −0.556913 | + | 0.254683i | ||||
\(856\) | 8.19987 | + | 17.8930i | 0.280266 | + | 0.611570i | ||||
\(857\) | 0.991705 | − | 0.991705i | 0.0338760 | − | 0.0338760i | −0.689966 | − | 0.723842i | \(-0.742374\pi\) |
0.723842 | + | 0.689966i | \(0.242374\pi\) | |||||||
\(858\) | −8.77891 | − | 1.99341i | −0.299707 | − | 0.0680538i | ||||
\(859\) | 9.70831 | + | 29.8791i | 0.331243 | + | 1.01946i | 0.968543 | + | 0.248846i | \(0.0800514\pi\) |
−0.637300 | + | 0.770616i | \(0.719949\pi\) | |||||||
\(860\) | −20.5129 | + | 38.5612i | −0.699483 | + | 1.31493i | ||||
\(861\) | 6.79856 | − | 20.9238i | 0.231694 | − | 0.713082i | ||||
\(862\) | −3.94204 | + | 6.61464i | −0.134266 | + | 0.225296i | ||||
\(863\) | 38.7182 | + | 19.7279i | 1.31798 | + | 0.671546i | 0.964546 | − | 0.263913i | \(-0.0850132\pi\) |
0.353436 | + | 0.935459i | \(0.385013\pi\) | |||||||
\(864\) | 3.40166 | − | 4.51981i | 0.115727 | − | 0.153767i | ||||
\(865\) | 41.4874 | + | 1.75686i | 1.41061 | + | 0.0597350i | ||||
\(866\) | −3.87358 | − | 15.3005i | −0.131630 | − | 0.519932i | ||||
\(867\) | 10.0299 | + | 1.58859i | 0.340635 | + | 0.0539513i | ||||
\(868\) | −18.6125 | − | 24.3319i | −0.631748 | − | 0.825880i | ||||
\(869\) | 6.70456 | + | 9.22803i | 0.227436 | + | 0.313039i | ||||
\(870\) | −10.1192 | − | 6.62633i | −0.343072 | − | 0.224653i | ||||
\(871\) | 28.8866 | − | 39.7590i | 0.978786 | − | 1.34718i | ||||
\(872\) | −2.66103 | − | 0.110567i | −0.0901139 | − | 0.00374427i | ||||
\(873\) | 7.60613 | − | 3.87551i | 0.257428 | − | 0.131166i | ||||
\(874\) | 5.99136 | − | 90.3688i | 0.202661 | − | 3.05677i | ||||
\(875\) | 27.3603 | − | 29.0599i | 0.924946 | − | 0.982404i | ||||
\(876\) | 0.216677 | − | 1.62691i | 0.00732084 | − | 0.0549682i | ||||
\(877\) | −4.00172 | − | 7.85382i | −0.135129 | − | 0.265205i | 0.813520 | − | 0.581537i | \(-0.197548\pi\) |
−0.948648 | + | 0.316332i | \(0.897548\pi\) | |||||||
\(878\) | 42.9707 | − | 3.91586i | 1.45019 | − | 0.132154i | ||||
\(879\) | −5.62039 | − | 4.08345i | −0.189571 | − | 0.137731i | ||||
\(880\) | −11.1563 | + | 11.3142i | −0.376078 | + | 0.381403i | ||||
\(881\) | 3.68981 | − | 2.68080i | 0.124313 | − | 0.0903185i | −0.523892 | − | 0.851785i | \(-0.675520\pi\) |
0.648204 | + | 0.761466i | \(0.275520\pi\) | |||||||
\(882\) | 6.11194 | − | 5.35190i | 0.205800 | − | 0.180208i | ||||
\(883\) | 0.499287 | − | 3.15237i | 0.0168023 | − | 0.106086i | −0.977862 | − | 0.209252i | \(-0.932897\pi\) |
0.994664 | + | 0.103166i | \(0.0328972\pi\) | |||||||
\(884\) | −36.7300 | + | 6.75036i | −1.23536 | + | 0.227039i | ||||
\(885\) | −0.0359040 | + | 0.847855i | −0.00120690 | + | 0.0285003i | ||||
\(886\) | 43.0012 | + | 17.1932i | 1.44465 | + | 0.577618i | ||||
\(887\) | −8.83178 | + | 17.3333i | −0.296542 | + | 0.581997i | −0.990419 | − | 0.138097i | \(-0.955901\pi\) |
0.693877 | + | 0.720094i | \(0.255901\pi\) | |||||||
\(888\) | −10.1342 | − | 8.02634i | −0.340083 | − | 0.269346i | ||||
\(889\) | 7.72744 | + | 2.51080i | 0.259170 | + | 0.0842095i | ||||
\(890\) | 6.72180 | − | 14.9442i | 0.225315 | − | 0.500930i | ||||
\(891\) | 1.68955 | − | 0.548967i | 0.0566019 | − | 0.0183911i | ||||
\(892\) | 12.6977 | + | 3.78203i | 0.425152 | + | 0.126632i | ||||
\(893\) | 4.10716 | + | 4.10716i | 0.137441 | + | 0.137441i | ||||
\(894\) | −12.8985 | + | 8.12480i | −0.431391 | + | 0.271734i | ||||
\(895\) | −9.68697 | − | 21.1824i | −0.323800 | − | 0.708051i | ||||
\(896\) | 35.8426 | − | 18.6174i | 1.19742 | − | 0.621963i | ||||
\(897\) | 28.3030 | − | 4.48275i | 0.945009 | − | 0.149675i | ||||
\(898\) | −39.3182 | + | 16.8574i | −1.31207 | + | 0.562540i | ||||
\(899\) | 16.4115 | 0.547355 | ||||||||
\(900\) | −9.95288 | + | 0.969596i | −0.331763 | + | 0.0323199i | ||||
\(901\) | −5.01059 | −0.166927 | ||||||||
\(902\) | 14.2301 | − | 6.10107i | 0.473812 | − | 0.203143i | ||||
\(903\) | 34.4371 | − | 5.45430i | 1.14599 | − | 0.181508i | ||||
\(904\) | 12.2006 | − | 11.2272i | 0.405786 | − | 0.373410i | ||||
\(905\) | −32.1804 | + | 3.70926i | −1.06971 | + | 0.123300i | ||||
\(906\) | 6.38346 | − | 4.02096i | 0.212076 | − | 0.133587i | ||||
\(907\) | 8.53222 | + | 8.53222i | 0.283308 | + | 0.283308i | 0.834427 | − | 0.551119i | \(-0.185799\pi\) |
−0.551119 | + | 0.834427i | \(0.685799\pi\) | |||||||
\(908\) | 3.66125 | − | 12.2922i | 0.121503 | − | 0.407932i | ||||
\(909\) | −6.60116 | + | 2.14485i | −0.218947 | + | 0.0711401i | ||||
\(910\) | −8.25988 | − | 39.5998i | −0.273812 | − | 1.31272i | ||||
\(911\) | −11.9166 | − | 3.87193i | −0.394814 | − | 0.128283i | 0.104880 | − | 0.994485i | \(-0.466554\pi\) |
−0.499694 | + | 0.866202i | \(0.666554\pi\) | |||||||
\(912\) | 23.7397 | + | 21.5050i | 0.786101 | + | 0.712103i | ||||
\(913\) | −0.567078 | + | 1.11295i | −0.0187676 | + | 0.0368334i | ||||
\(914\) | −8.38134 | − | 3.35112i | −0.277230 | − | 0.110845i | ||||
\(915\) | 14.1327 | − | 17.8152i | 0.467214 | − | 0.588952i | ||||
\(916\) | −4.16180 | − | 22.6452i | −0.137510 | − | 0.748217i | ||||
\(917\) | 7.58068 | − | 47.8625i | 0.250336 | − | 1.58056i | ||||
\(918\) | 5.54436 | − | 4.85490i | 0.182991 | − | 0.160236i | ||||
\(919\) | −14.7236 | + | 10.6973i | −0.485687 | + | 0.352873i | −0.803523 | − | 0.595273i | \(-0.797044\pi\) |
0.317836 | + | 0.948146i | \(0.397044\pi\) | |||||||
\(920\) | 19.6032 | − | 46.6248i | 0.646299 | − | 1.53717i | ||||
\(921\) | −18.6523 | − | 13.5517i | −0.614613 | − | 0.446542i | ||||
\(922\) | 24.4181 | − | 2.22519i | 0.804167 | − | 0.0732826i | ||||
\(923\) | −2.13751 | − | 4.19510i | −0.0703570 | − | 0.138083i | ||||
\(924\) | 12.5730 | + | 1.67451i | 0.413620 | + | 0.0550872i | ||||
\(925\) | 1.65396 | + | 22.7932i | 0.0543817 | + | 0.749436i | ||||
\(926\) | 0.383782 | − | 5.78866i | 0.0126118 | − | 0.190227i | ||||
\(927\) | 13.4375 | − | 6.84673i | 0.441344 | − | 0.224876i | ||||
\(928\) | −3.74447 | + | 21.3110i | −0.122918 | + | 0.699567i | ||||
\(929\) | 1.07713 | − | 1.48254i | 0.0353393 | − | 0.0486404i | −0.790982 | − | 0.611840i | \(-0.790430\pi\) |
0.826321 | + | 0.563199i | \(0.190430\pi\) | |||||||
\(930\) | 10.5768 | − | 8.49849i | 0.346826 | − | 0.278676i | ||||
\(931\) | 27.0392 | + | 37.2162i | 0.886174 | + | 1.21971i | ||||
\(932\) | 45.5442 | − | 34.8386i | 1.49185 | − | 1.14118i | ||||
\(933\) | −17.0016 | − | 2.69278i | −0.556606 | − | 0.0881578i | ||||
\(934\) | −4.19901 | − | 16.5859i | −0.137396 | − | 0.542709i | ||||
\(935\) | −17.2466 | + | 11.4478i | −0.564023 | + | 0.374383i | ||||
\(936\) | −4.97212 | + | 8.83155i | −0.162519 | + | 0.288668i | ||||
\(937\) | 19.6122 | + | 9.99291i | 0.640702 | + | 0.326454i | 0.743983 | − | 0.668198i | \(-0.232934\pi\) |
−0.103281 | + | 0.994652i | \(0.532934\pi\) | |||||||
\(938\) | −35.4482 | + | 59.4812i | −1.15742 | + | 1.94213i | ||||
\(939\) | −4.11174 | + | 12.6546i | −0.134182 | + | 0.412968i | ||||
\(940\) | 1.42141 | + | 2.91575i | 0.0463613 | + | 0.0951013i | ||||
\(941\) | −11.6466 | − | 35.8445i | −0.379668 | − | 1.16850i | −0.940275 | − | 0.340415i | \(-0.889432\pi\) |
0.560608 | − | 0.828082i | \(-0.310568\pi\) | |||||||
\(942\) | 5.28549 | + | 1.20017i | 0.172211 | + | 0.0391035i | ||||
\(943\) | −34.8491 | + | 34.8491i | −1.13484 | + | 1.13484i | ||||
\(944\) | 1.41885 | − | 0.539754i | 0.0461797 | − | 0.0175675i | ||||
\(945\) | 5.40071 | + | 5.87834i | 0.175685 | + | 0.191222i | ||||
\(946\) | 18.8534 | + | 15.7042i | 0.612976 | + | 0.510587i | ||||
\(947\) | 4.28065 | + | 27.0269i | 0.139102 | + | 0.878258i | 0.954251 | + | 0.299006i | \(0.0966551\pi\) |
−0.815149 | + | 0.579252i | \(0.803345\pi\) | |||||||
\(948\) | 12.1114 | − | 4.26838i | 0.393361 | − | 0.138631i | ||||
\(949\) | 2.94056i | 0.0954547i | ||||||||
\(950\) | −0.353029 | − | 56.6238i | −0.0114538 | − | 1.83712i | ||||
\(951\) | 10.0509i | 0.325924i | ||||||||
\(952\) | 50.6742 | − | 14.1682i | 1.64236 | − | 0.459195i | ||||
\(953\) | −8.22502 | − | 51.9308i | −0.266435 | − | 1.68220i | −0.650979 | − | 0.759096i | \(-0.725641\pi\) |
0.384544 | − | 0.923107i | \(-0.374359\pi\) | |||||||
\(954\) | −0.870304 | + | 1.04483i | −0.0281771 | + | 0.0338275i | ||||
\(955\) | 29.4129 | + | 5.94395i | 0.951779 | + | 0.192342i | ||||
\(956\) | 0.496190 | + | 0.917157i | 0.0160479 | + | 0.0296630i | ||||
\(957\) | −4.80485 | + | 4.80485i | −0.155319 | + | 0.155319i | ||||
\(958\) | −4.53299 | + | 19.9632i | −0.146454 | + | 0.644981i | ||||
\(959\) | −21.3160 | − | 65.6039i | −0.688329 | − | 2.11846i | ||||
\(960\) | 8.62240 | + | 15.6734i | 0.278287 | + | 0.505855i | ||||
\(961\) | 3.89076 | − | 11.9745i | 0.125508 | − | 0.386275i | ||||
\(962\) | 19.8964 | + | 11.8574i | 0.641485 | + | 0.382297i | ||||
\(963\) | 6.20032 | + | 3.15922i | 0.199802 | + | 0.101804i | ||||
\(964\) | −11.1723 | − | 5.34957i | −0.359836 | − | 0.172298i | ||||
\(965\) | 1.62339 | + | 5.82408i | 0.0522588 | + | 0.187484i | ||||
\(966\) | −39.1399 | + | 9.90894i | −1.25931 | + | 0.318815i | ||||
\(967\) | 45.3669 | + | 7.18541i | 1.45890 | + | 0.231067i | 0.834919 | − | 0.550372i | \(-0.185514\pi\) |
0.623981 | + | 0.781440i | \(0.285514\pi\) | |||||||
\(968\) | −12.2844 | − | 18.4751i | −0.394837 | − | 0.593811i | ||||
\(969\) | 24.5282 | + | 33.7602i | 0.787960 | + | 1.08453i | ||||
\(970\) | 1.31025 | + | 26.9631i | 0.0420697 | + | 0.865734i | ||||
\(971\) | 3.78538 | − | 5.21013i | 0.121479 | − | 0.167201i | −0.743947 | − | 0.668239i | \(-0.767048\pi\) |
0.865425 | + | 0.501038i | \(0.167048\pi\) | |||||||
\(972\) | −0.0493461 | − | 1.99939i | −0.00158278 | − | 0.0641305i | ||||
\(973\) | 41.9608 | − | 21.3801i | 1.34520 | − | 0.685415i | ||||
\(974\) | 22.9578 | + | 1.52208i | 0.735616 | + | 0.0487706i | ||||
\(975\) | 17.4465 | − | 4.07608i | 0.558735 | − | 0.130539i | ||||
\(976\) | −39.2609 | − | 10.6466i | −1.25671 | − | 0.340790i | ||||
\(977\) | 22.5496 | + | 44.2561i | 0.721426 | + | 1.41588i | 0.901745 | + | 0.432269i | \(0.142287\pi\) |
−0.180319 | + | 0.983608i | \(0.557713\pi\) | |||||||
\(978\) | 1.68233 | + | 18.4611i | 0.0537951 | + | 0.590321i | ||||
\(979\) | −7.44736 | − | 5.41082i | −0.238019 | − | 0.172931i | ||||
\(980\) | 7.50635 | + | 24.5691i | 0.239782 | + | 0.784831i | ||||
\(981\) | −0.761793 | + | 0.553475i | −0.0243222 | + | 0.0176711i | ||||
\(982\) | −5.26168 | − | 6.00891i | −0.167907 | − | 0.191752i | ||||
\(983\) | 3.83856 | − | 24.2357i | 0.122431 | − | 0.773000i | −0.847710 | − | 0.530460i | \(-0.822019\pi\) |
0.970141 | − | 0.242540i | \(-0.0779807\pi\) | |||||||
\(984\) | −2.00971 | − | 17.3146i | −0.0640671 | − | 0.551969i | ||||
\(985\) | 1.25767 | + | 0.468345i | 0.0400728 | + | 0.0149227i | ||||
\(986\) | −10.4651 | + | 26.1738i | −0.333277 | + | 0.833543i | ||||
\(987\) | 1.17555 | − | 2.30716i | 0.0374183 | − | 0.0734376i | ||||
\(988\) | −47.2471 | − | 32.5768i | −1.50313 | − | 1.03641i | ||||
\(989\) | −74.2822 | − | 24.1357i | −2.36204 | − | 0.767472i | ||||
\(990\) | −0.608464 | + | 5.58472i | −0.0193383 | + | 0.177494i | ||||
\(991\) | −25.5462 | + | 8.30045i | −0.811501 | + | 0.263673i | −0.685233 | − | 0.728324i | \(-0.740300\pi\) |
−0.126267 | + | 0.991996i | \(0.540300\pi\) | |||||||
\(992\) | −21.4371 | − | 11.3818i | −0.680630 | − | 0.361372i | ||||
\(993\) | 5.19801 | + | 5.19801i | 0.164954 | + | 0.164954i | ||||
\(994\) | 3.53564 | + | 5.61301i | 0.112144 | + | 0.178034i | ||||
\(995\) | 26.2599 | + | 14.8117i | 0.832494 | + | 0.469562i | ||||
\(996\) | 1.01860 | + | 0.969532i | 0.0322756 | + | 0.0307208i | ||||
\(997\) | −41.1715 | + | 6.52093i | −1.30391 | + | 0.206520i | −0.769470 | − | 0.638683i | \(-0.779479\pi\) |
−0.534445 | + | 0.845203i | \(0.679479\pi\) | |||||||
\(998\) | 23.4248 | + | 54.6359i | 0.741498 | + | 1.72947i | ||||
\(999\) | −4.57063 | −0.144608 |
(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 | 300.2.w.a.103.12 | yes | 240 | |
3.2 | odd | 2 | 900.2.bj.f.703.19 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.103.9 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.703.22 | 240 | |||
25.17 | odd | 20 | inner | 300.2.w.a.67.9 | ✓ | 240 | |
75.17 | even | 20 | 900.2.bj.f.667.22 | 240 | |||
100.67 | even | 20 | inner | 300.2.w.a.67.12 | yes | 240 | |
300.167 | odd | 20 | 900.2.bj.f.667.19 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.67.9 | ✓ | 240 | 25.17 | odd | 20 | inner | |
300.2.w.a.67.12 | yes | 240 | 100.67 | even | 20 | inner | |
300.2.w.a.103.9 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.103.12 | yes | 240 | 1.1 | even | 1 | trivial | |
900.2.bj.f.667.19 | 240 | 300.167 | odd | 20 | |||
900.2.bj.f.667.22 | 240 | 75.17 | even | 20 | |||
900.2.bj.f.703.19 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.703.22 | 240 | 12.11 | even | 2 |