Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(19,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.t (of order \(22\), degree \(10\), 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: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 19.6 | ||
Character | \(\chi\) | \(=\) | 552.19 |
Dual form | 552.2.t.b.523.6 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{15}{22}\right)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.05559 | + | 0.941132i | −0.746415 | + | 0.665481i | ||||
\(3\) | −0.959493 | + | 0.281733i | −0.553964 | + | 0.162658i | ||||
\(4\) | 0.228541 | − | 1.98690i | 0.114270 | − | 0.993450i | ||||
\(5\) | −3.23381 | − | 2.07824i | −1.44620 | − | 0.929418i | −0.999395 | − | 0.0347877i | \(-0.988925\pi\) |
−0.446808 | − | 0.894630i | \(-0.647439\pi\) | |||||||
\(6\) | 0.747684 | − | 1.20040i | 0.305241 | − | 0.490063i | ||||
\(7\) | −0.275643 | − | 1.91714i | −0.104183 | − | 0.724611i | −0.973222 | − | 0.229867i | \(-0.926171\pi\) |
0.869039 | − | 0.494744i | \(-0.164738\pi\) | |||||||
\(8\) | 1.62869 | + | 2.31244i | 0.575829 | + | 0.817570i | ||||
\(9\) | 0.841254 | − | 0.540641i | 0.280418 | − | 0.180214i | ||||
\(10\) | 5.36947 | − | 0.849668i | 1.69798 | − | 0.268689i | ||||
\(11\) | −2.29334 | − | 1.04733i | −0.691468 | − | 0.315783i | 0.0385053 | − | 0.999258i | \(-0.487740\pi\) |
−0.729973 | + | 0.683475i | \(0.760468\pi\) | |||||||
\(12\) | 0.340491 | + | 1.97080i | 0.0982913 | + | 0.568922i | ||||
\(13\) | 2.30395 | + | 0.331257i | 0.639000 | + | 0.0918743i | 0.454197 | − | 0.890901i | \(-0.349926\pi\) |
0.184803 | + | 0.982776i | \(0.440835\pi\) | |||||||
\(14\) | 2.09525 | + | 1.76430i | 0.559979 | + | 0.471529i | ||||
\(15\) | 3.68832 | + | 1.08299i | 0.952321 | + | 0.279627i | ||||
\(16\) | −3.89554 | − | 0.908175i | −0.973885 | − | 0.227044i | ||||
\(17\) | −2.46916 | + | 2.13954i | −0.598860 | + | 0.518915i | −0.900699 | − | 0.434444i | \(-0.856945\pi\) |
0.301839 | + | 0.953359i | \(0.402400\pi\) | |||||||
\(18\) | −0.379204 | + | 1.36243i | −0.0893793 | + | 0.321127i | ||||
\(19\) | −0.306906 | − | 0.265935i | −0.0704090 | − | 0.0610097i | 0.618945 | − | 0.785434i | \(-0.287560\pi\) |
−0.689354 | + | 0.724424i | \(0.742106\pi\) | |||||||
\(20\) | −4.86831 | + | 5.95029i | −1.08859 | + | 1.33052i | ||||
\(21\) | 0.804599 | + | 1.76183i | 0.175578 | + | 0.384462i | ||||
\(22\) | 3.40651 | − | 1.05278i | 0.726270 | − | 0.224454i | ||||
\(23\) | 4.60049 | − | 1.35480i | 0.959269 | − | 0.282495i | ||||
\(24\) | −2.21421 | − | 1.75991i | −0.451973 | − | 0.359241i | ||||
\(25\) | 4.06134 | + | 8.89310i | 0.812269 | + | 1.77862i | ||||
\(26\) | −2.74378 | + | 1.81865i | −0.538099 | + | 0.356666i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | −3.87216 | + | 0.109531i | −0.731770 | + | 0.0206993i | ||||
\(29\) | −7.02135 | + | 6.08403i | −1.30383 | + | 1.12978i | −0.320640 | + | 0.947201i | \(0.603898\pi\) |
−0.983192 | + | 0.182575i | \(0.941557\pi\) | |||||||
\(30\) | −4.91259 | + | 2.32801i | −0.896913 | + | 0.425034i | ||||
\(31\) | −2.22189 | + | 7.56707i | −0.399064 | + | 1.35909i | 0.477851 | + | 0.878441i | \(0.341416\pi\) |
−0.876915 | + | 0.480646i | \(0.840402\pi\) | |||||||
\(32\) | 4.96680 | − | 2.70756i | 0.878015 | − | 0.478633i | ||||
\(33\) | 2.49551 | + | 0.358800i | 0.434413 | + | 0.0624591i | ||||
\(34\) | 0.592833 | − | 4.58229i | 0.101670 | − | 0.785856i | ||||
\(35\) | −3.09290 | + | 6.77252i | −0.522796 | + | 1.14476i | ||||
\(36\) | −0.881938 | − | 1.79504i | −0.146990 | − | 0.299174i | ||||
\(37\) | −1.88606 | + | 1.21210i | −0.310066 | + | 0.199267i | −0.686414 | − | 0.727211i | \(-0.740816\pi\) |
0.376348 | + | 0.926478i | \(0.377180\pi\) | |||||||
\(38\) | 0.574247 | − | 0.00812014i | 0.0931551 | − | 0.00131726i | ||||
\(39\) | −2.30395 | + | 0.331257i | −0.368927 | + | 0.0530436i | ||||
\(40\) | −0.461062 | − | 10.8628i | −0.0729003 | − | 1.71756i | ||||
\(41\) | 2.82928 | + | 1.81827i | 0.441860 | + | 0.283966i | 0.742594 | − | 0.669742i | \(-0.233595\pi\) |
−0.300734 | + | 0.953708i | \(0.597232\pi\) | |||||||
\(42\) | −2.50744 | − | 1.10253i | −0.386906 | − | 0.170124i | ||||
\(43\) | −1.91148 | − | 6.50991i | −0.291498 | − | 0.992752i | −0.966869 | − | 0.255274i | \(-0.917834\pi\) |
0.675370 | − | 0.737479i | \(-0.263984\pi\) | |||||||
\(44\) | −2.60507 | + | 4.31728i | −0.392729 | + | 0.650854i | ||||
\(45\) | −3.84403 | −0.573035 | ||||||||
\(46\) | −3.58119 | + | 5.75978i | −0.528018 | + | 0.849233i | ||||
\(47\) | − | 3.08175i | − | 0.449520i | −0.974414 | − | 0.224760i | \(-0.927840\pi\) | ||
0.974414 | − | 0.224760i | \(-0.0721598\pi\) | |||||||
\(48\) | 3.99360 | − | 0.226112i | 0.576427 | − | 0.0326365i | ||||
\(49\) | 3.11700 | − | 0.915234i | 0.445286 | − | 0.130748i | ||||
\(50\) | −12.6567 | − | 5.56521i | −1.78993 | − | 0.787039i | ||||
\(51\) | 1.76637 | − | 2.74852i | 0.247341 | − | 0.384870i | ||||
\(52\) | 1.18472 | − | 4.50200i | 0.164291 | − | 0.624316i | ||||
\(53\) | 0.622949 | + | 4.33270i | 0.0855686 | + | 0.595143i | 0.986817 | + | 0.161840i | \(0.0517428\pi\) |
−0.901248 | + | 0.433303i | \(0.857348\pi\) | |||||||
\(54\) | −0.0199957 | − | 1.41407i | −0.00272107 | − | 0.192431i | ||||
\(55\) | 5.23961 | + | 8.15299i | 0.706509 | + | 1.09935i | ||||
\(56\) | 3.98433 | − | 3.75984i | 0.532429 | − | 0.502429i | ||||
\(57\) | 0.369396 | + | 0.168698i | 0.0489277 | + | 0.0223445i | ||||
\(58\) | 1.68579 | − | 13.0303i | 0.221355 | − | 1.71096i | ||||
\(59\) | −0.0502711 | + | 0.349643i | −0.00654473 | + | 0.0455196i | −0.992832 | − | 0.119517i | \(-0.961865\pi\) |
0.986287 | + | 0.165037i | \(0.0527744\pi\) | |||||||
\(60\) | 2.99472 | − | 7.08082i | 0.386617 | − | 0.914130i | ||||
\(61\) | 10.5907 | + | 3.10972i | 1.35600 | + | 0.398158i | 0.877352 | − | 0.479847i | \(-0.159308\pi\) |
0.478651 | + | 0.878005i | \(0.341126\pi\) | |||||||
\(62\) | −4.77621 | − | 10.0788i | −0.606579 | − | 1.28001i | ||||
\(63\) | −1.26837 | − | 1.46378i | −0.159800 | − | 0.184419i | ||||
\(64\) | −2.69474 | + | 7.53249i | −0.336843 | + | 0.941561i | ||||
\(65\) | −6.76208 | − | 5.85938i | −0.838733 | − | 0.726766i | ||||
\(66\) | −2.97192 | + | 1.96986i | −0.365818 | + | 0.242473i | ||||
\(67\) | −13.4574 | + | 6.14579i | −1.64408 | + | 0.750828i | −0.999901 | − | 0.0140437i | \(-0.995530\pi\) |
−0.644183 | + | 0.764872i | \(0.722802\pi\) | |||||||
\(68\) | 3.68675 | + | 5.39495i | 0.447084 | + | 0.654234i | ||||
\(69\) | −4.03245 | + | 2.59603i | −0.485450 | + | 0.312525i | ||||
\(70\) | −3.10899 | − | 10.0598i | −0.371596 | − | 1.20238i | ||||
\(71\) | −7.51135 | + | 3.43032i | −0.891433 | + | 0.407104i | −0.807844 | − | 0.589397i | \(-0.799366\pi\) |
−0.0835890 | + | 0.996500i | \(0.526638\pi\) | |||||||
\(72\) | 2.62034 | + | 1.06481i | 0.308810 | + | 0.125489i | ||||
\(73\) | −3.55874 | + | 4.10700i | −0.416518 | + | 0.480688i | −0.924773 | − | 0.380519i | \(-0.875745\pi\) |
0.508255 | + | 0.861207i | \(0.330291\pi\) | |||||||
\(74\) | 0.850162 | − | 3.05451i | 0.0988293 | − | 0.355079i | ||||
\(75\) | −6.40231 | − | 7.38866i | −0.739275 | − | 0.853168i | ||||
\(76\) | −0.598527 | + | 0.549013i | −0.0686557 | + | 0.0629762i | ||||
\(77\) | −1.37574 | + | 4.68535i | −0.156780 | + | 0.533945i | ||||
\(78\) | 2.12027 | − | 2.51799i | 0.240073 | − | 0.285106i | ||||
\(79\) | 1.11540 | − | 7.75775i | 0.125492 | − | 0.872815i | −0.825677 | − | 0.564144i | \(-0.809206\pi\) |
0.951169 | − | 0.308672i | \(-0.0998845\pi\) | |||||||
\(80\) | 10.7100 | + | 11.0327i | 1.19742 | + | 1.23350i | ||||
\(81\) | 0.415415 | − | 0.909632i | 0.0461572 | − | 0.101070i | ||||
\(82\) | −4.69779 | + | 0.743381i | −0.518785 | + | 0.0820927i | ||||
\(83\) | −0.783096 | − | 1.21852i | −0.0859559 | − | 0.133750i | 0.795613 | − | 0.605805i | \(-0.207149\pi\) |
−0.881569 | + | 0.472055i | \(0.843512\pi\) | |||||||
\(84\) | 3.68445 | − | 1.19601i | 0.402007 | − | 0.130495i | ||||
\(85\) | 12.4313 | − | 1.78735i | 1.34836 | − | 0.193865i | ||||
\(86\) | 8.14443 | + | 5.07284i | 0.878236 | + | 0.547018i | ||||
\(87\) | 5.02286 | − | 7.81573i | 0.538508 | − | 0.837934i | ||||
\(88\) | −1.31325 | − | 7.00899i | −0.139992 | − | 0.747161i | ||||
\(89\) | 4.71679 | + | 16.0639i | 0.499979 | + | 1.70277i | 0.692446 | + | 0.721469i | \(0.256533\pi\) |
−0.192467 | + | 0.981303i | \(0.561649\pi\) | |||||||
\(90\) | 4.05772 | − | 3.61774i | 0.427722 | − | 0.381344i | ||||
\(91\) | − | 4.50830i | − | 0.472598i | ||||||
\(92\) | −1.64045 | − | 9.45034i | −0.171028 | − | 0.985266i | ||||
\(93\) | − | 7.88653i | − | 0.817796i | ||||||
\(94\) | 2.90034 | + | 3.25307i | 0.299147 | + | 0.335528i | ||||
\(95\) | 0.439796 | + | 1.49781i | 0.0451221 | + | 0.153672i | ||||
\(96\) | −4.00281 | + | 3.99719i | −0.408535 | + | 0.407962i | ||||
\(97\) | −4.14896 | + | 6.45590i | −0.421263 | + | 0.655498i | −0.985414 | − | 0.170174i | \(-0.945567\pi\) |
0.564151 | + | 0.825671i | \(0.309203\pi\) | |||||||
\(98\) | −2.42892 | + | 3.89962i | −0.245358 | + | 0.393921i | ||||
\(99\) | −2.49551 | + | 0.358800i | −0.250808 | + | 0.0360608i | ||||
\(100\) | 18.5979 | − | 6.03704i | 1.85979 | − | 0.603704i | ||||
\(101\) | 4.55982 | + | 7.09522i | 0.453719 | + | 0.706001i | 0.990468 | − | 0.137741i | \(-0.0439842\pi\) |
−0.536749 | + | 0.843742i | \(0.680348\pi\) | |||||||
\(102\) | 0.722161 | + | 4.56369i | 0.0715046 | + | 0.451873i | ||||
\(103\) | 0.0825623 | − | 0.180786i | 0.00813511 | − | 0.0178134i | −0.905521 | − | 0.424302i | \(-0.860520\pi\) |
0.913656 | + | 0.406488i | \(0.133247\pi\) | |||||||
\(104\) | 2.98640 | + | 5.86725i | 0.292841 | + | 0.575331i | ||||
\(105\) | 1.05958 | − | 7.36955i | 0.103405 | − | 0.719195i | ||||
\(106\) | −4.73523 | − | 3.98728i | −0.459926 | − | 0.387279i | ||||
\(107\) | 4.82083 | − | 16.4183i | 0.466048 | − | 1.58721i | −0.306250 | − | 0.951951i | \(-0.599074\pi\) |
0.772297 | − | 0.635261i | \(-0.219108\pi\) | |||||||
\(108\) | 1.35194 | + | 1.47386i | 0.130090 | + | 0.141822i | ||||
\(109\) | 13.0609 | + | 15.0731i | 1.25101 | + | 1.44374i | 0.849244 | + | 0.528001i | \(0.177058\pi\) |
0.401767 | + | 0.915742i | \(0.368396\pi\) | |||||||
\(110\) | −13.2039 | − | 3.67505i | −1.25894 | − | 0.350402i | ||||
\(111\) | 1.46817 | − | 1.69436i | 0.139353 | − | 0.160822i | ||||
\(112\) | −0.667321 | + | 7.71863i | −0.0630559 | + | 0.729342i | ||||
\(113\) | 4.34029 | − | 1.98214i | 0.408300 | − | 0.186464i | −0.200668 | − | 0.979659i | \(-0.564311\pi\) |
0.608968 | + | 0.793195i | \(0.291584\pi\) | |||||||
\(114\) | −0.548698 | + | 0.169575i | −0.0513903 | + | 0.0158822i | ||||
\(115\) | −17.6927 | − | 5.17978i | −1.64985 | − | 0.483017i | ||||
\(116\) | 10.4837 | + | 15.3412i | 0.973387 | + | 1.42439i | ||||
\(117\) | 2.11729 | − | 0.966936i | 0.195744 | − | 0.0893932i | ||||
\(118\) | −0.275995 | − | 0.416391i | −0.0254074 | − | 0.0383319i | ||||
\(119\) | 4.78241 | + | 4.14398i | 0.438403 | + | 0.379878i | ||||
\(120\) | 3.50279 | + | 10.2929i | 0.319759 | + | 0.939606i | ||||
\(121\) | −3.04096 | − | 3.50946i | −0.276451 | − | 0.319042i | ||||
\(122\) | −14.1061 | + | 6.68468i | −1.27711 | + | 0.605203i | ||||
\(123\) | −3.22694 | − | 0.947516i | −0.290964 | − | 0.0854346i | ||||
\(124\) | 14.5272 | + | 6.14406i | 1.30458 | + | 0.551753i | ||||
\(125\) | 2.61310 | − | 18.1745i | 0.233722 | − | 1.62558i | ||||
\(126\) | 2.71649 | + | 0.351445i | 0.242004 | + | 0.0313092i | ||||
\(127\) | 1.86703 | + | 0.852646i | 0.165672 | + | 0.0756601i | 0.496525 | − | 0.868022i | \(-0.334609\pi\) |
−0.330853 | + | 0.943682i | \(0.607336\pi\) | |||||||
\(128\) | −4.24452 | − | 10.4873i | −0.375166 | − | 0.926957i | ||||
\(129\) | 3.66811 | + | 5.70769i | 0.322959 | + | 0.502534i | ||||
\(130\) | 12.6524 | − | 0.178912i | 1.10969 | − | 0.0156916i | ||||
\(131\) | 1.96781 | + | 13.6864i | 0.171928 | + | 1.19579i | 0.874805 | + | 0.484476i | \(0.160990\pi\) |
−0.702876 | + | 0.711312i | \(0.748101\pi\) | |||||||
\(132\) | 1.28323 | − | 4.87633i | 0.111691 | − | 0.424430i | ||||
\(133\) | −0.425239 | + | 0.661684i | −0.0368729 | + | 0.0573753i | ||||
\(134\) | 8.42150 | − | 19.1526i | 0.727507 | − | 1.65454i | ||||
\(135\) | 3.68832 | − | 1.08299i | 0.317440 | − | 0.0932089i | ||||
\(136\) | −8.96906 | − | 2.22514i | −0.769091 | − | 0.190804i | ||||
\(137\) | − | 7.59720i | − | 0.649073i | −0.945873 | − | 0.324536i | \(-0.894792\pi\) | ||
0.945873 | − | 0.324536i | \(-0.105208\pi\) | |||||||
\(138\) | 1.81341 | − | 6.53541i | 0.154368 | − | 0.556331i | ||||
\(139\) | −4.69599 | −0.398309 | −0.199154 | − | 0.979968i | \(-0.563820\pi\) | ||||
−0.199154 | + | 0.979968i | \(0.563820\pi\) | |||||||
\(140\) | 12.7495 | + | 7.69309i | 1.07753 | + | 0.650185i | ||||
\(141\) | 0.868230 | + | 2.95692i | 0.0731182 | + | 0.249018i | ||||
\(142\) | 4.70052 | − | 10.6902i | 0.394459 | − | 0.897100i | ||||
\(143\) | −4.93680 | − | 3.17269i | −0.412836 | − | 0.265313i | ||||
\(144\) | −3.76813 | + | 1.34208i | −0.314011 | + | 0.111840i | ||||
\(145\) | 35.3498 | − | 5.08253i | 2.93564 | − | 0.422081i | ||||
\(146\) | −0.108663 | − | 7.68455i | −0.00899305 | − | 0.635978i | ||||
\(147\) | −2.73289 | + | 1.75632i | −0.225405 | + | 0.144859i | ||||
\(148\) | 1.97727 | + | 4.02442i | 0.162531 | + | 0.330805i | ||||
\(149\) | 5.41807 | − | 11.8639i | 0.443865 | − | 0.971930i | −0.547007 | − | 0.837128i | \(-0.684233\pi\) |
0.990873 | − | 0.134802i | \(-0.0430398\pi\) | |||||||
\(150\) | 13.7119 | + | 1.77398i | 1.11957 | + | 0.144844i | ||||
\(151\) | −10.6595 | − | 1.53260i | −0.867458 | − | 0.124722i | −0.305805 | − | 0.952094i | \(-0.598925\pi\) |
−0.561653 | + | 0.827373i | \(0.689834\pi\) | |||||||
\(152\) | 0.115105 | − | 1.14283i | 0.00933623 | − | 0.0926954i | ||||
\(153\) | −0.920469 | + | 3.13483i | −0.0744155 | + | 0.253436i | ||||
\(154\) | −2.95731 | − | 6.24056i | −0.238307 | − | 0.502879i | ||||
\(155\) | 22.9114 | − | 19.8528i | 1.84029 | − | 1.59462i | ||||
\(156\) | 0.131630 | + | 4.65341i | 0.0105388 | + | 0.372571i | ||||
\(157\) | 3.58682 | − | 4.13941i | 0.286260 | − | 0.330361i | −0.594347 | − | 0.804208i | \(-0.702590\pi\) |
0.880607 | + | 0.473847i | \(0.157135\pi\) | |||||||
\(158\) | 6.12367 | + | 9.23874i | 0.487173 | + | 0.734995i | ||||
\(159\) | −1.81838 | − | 3.98169i | −0.144207 | − | 0.315769i | ||||
\(160\) | −21.6886 | − | 1.56651i | −1.71464 | − | 0.123843i | ||||
\(161\) | −3.86543 | − | 8.44635i | −0.304639 | − | 0.665666i | ||||
\(162\) | 0.417576 | + | 1.35116i | 0.0328079 | + | 0.106157i | ||||
\(163\) | −2.05621 | − | 4.50248i | −0.161055 | − | 0.352661i | 0.811850 | − | 0.583866i | \(-0.198461\pi\) |
−0.972905 | + | 0.231205i | \(0.925733\pi\) | |||||||
\(164\) | 4.25932 | − | 5.20595i | 0.332597 | − | 0.406516i | ||||
\(165\) | −7.32433 | − | 6.34657i | −0.570198 | − | 0.494080i | ||||
\(166\) | 1.97342 | + | 0.549262i | 0.153167 | + | 0.0426310i | ||||
\(167\) | −9.31718 | + | 8.07338i | −0.720985 | + | 0.624737i | −0.936052 | − | 0.351862i | \(-0.885548\pi\) |
0.215067 | + | 0.976599i | \(0.431003\pi\) | |||||||
\(168\) | −2.76367 | + | 4.73005i | −0.213222 | + | 0.364931i | ||||
\(169\) | −7.27497 | − | 2.13612i | −0.559613 | − | 0.164317i | ||||
\(170\) | −11.4402 | + | 13.5862i | −0.877424 | + | 1.04201i | ||||
\(171\) | −0.401961 | − | 0.0577932i | −0.0307387 | − | 0.00441956i | ||||
\(172\) | −13.3714 | + | 2.31014i | −1.01956 | + | 0.176147i | ||||
\(173\) | −11.5582 | − | 5.27843i | −0.878750 | − | 0.401312i | −0.0756352 | − | 0.997136i | \(-0.524098\pi\) |
−0.803115 | + | 0.595824i | \(0.796826\pi\) | |||||||
\(174\) | 2.05355 | + | 12.9774i | 0.155679 | + | 0.983813i | ||||
\(175\) | 15.9298 | − | 10.2375i | 1.20418 | − | 0.773882i | ||||
\(176\) | 7.98263 | + | 6.16268i | 0.601714 | + | 0.464530i | ||||
\(177\) | −0.0502711 | − | 0.349643i | −0.00377860 | − | 0.0262808i | ||||
\(178\) | −20.0973 | − | 12.5178i | −1.50635 | − | 0.938248i | ||||
\(179\) | 14.0769 | + | 9.04668i | 1.05216 | + | 0.676180i | 0.947964 | − | 0.318377i | \(-0.103138\pi\) |
0.104193 | + | 0.994557i | \(0.466774\pi\) | |||||||
\(180\) | −0.878518 | + | 7.63771i | −0.0654809 | + | 0.569281i | ||||
\(181\) | −21.0629 | + | 6.18463i | −1.56559 | + | 0.459700i | −0.945715 | − | 0.324997i | \(-0.894637\pi\) |
−0.619879 | + | 0.784697i | \(0.712818\pi\) | |||||||
\(182\) | 4.24290 | + | 4.75892i | 0.314505 | + | 0.352754i | ||||
\(183\) | −11.0378 | −0.815940 | ||||||||
\(184\) | 10.6257 | + | 8.43181i | 0.783334 | + | 0.621601i | ||||
\(185\) | 8.61818 | 0.633621 | ||||||||
\(186\) | 7.42227 | + | 8.32495i | 0.544227 | + | 0.610415i | ||||
\(187\) | 7.90345 | − | 2.32066i | 0.577957 | − | 0.169704i | ||||
\(188\) | −6.12313 | − | 0.704306i | −0.446575 | − | 0.0513668i | ||||
\(189\) | 1.62939 | + | 1.04714i | 0.118520 | + | 0.0761685i | ||||
\(190\) | −1.87388 | − | 1.16716i | −0.135945 | − | 0.0846750i | ||||
\(191\) | −2.05640 | − | 14.3026i | −0.148796 | − | 1.03490i | −0.918194 | − | 0.396130i | \(-0.870353\pi\) |
0.769398 | − | 0.638769i | \(-0.220556\pi\) | |||||||
\(192\) | 0.463438 | − | 7.98657i | 0.0334458 | − | 0.576381i | ||||
\(193\) | −20.3700 | + | 13.0910i | −1.46627 | + | 0.942311i | −0.467982 | + | 0.883738i | \(0.655019\pi\) |
−0.998283 | + | 0.0585735i | \(0.981345\pi\) | |||||||
\(194\) | −1.69626 | − | 10.7195i | −0.121784 | − | 0.769616i | ||||
\(195\) | 8.13895 | + | 3.71693i | 0.582842 | + | 0.266175i | ||||
\(196\) | −1.10612 | − | 6.40233i | −0.0790083 | − | 0.457309i | ||||
\(197\) | −4.67671 | − | 0.672409i | −0.333202 | − | 0.0479072i | −0.0263163 | − | 0.999654i | \(-0.508378\pi\) |
−0.306885 | + | 0.951747i | \(0.599287\pi\) | |||||||
\(198\) | 2.29656 | − | 2.72735i | 0.163209 | − | 0.193825i | ||||
\(199\) | 5.85970 | + | 1.72056i | 0.415383 | + | 0.121967i | 0.482745 | − | 0.875761i | \(-0.339640\pi\) |
−0.0673616 | + | 0.997729i | \(0.521458\pi\) | |||||||
\(200\) | −13.9501 | + | 23.8757i | −0.986420 | + | 1.68827i | ||||
\(201\) | 11.1808 | − | 9.68823i | 0.788634 | − | 0.683355i | ||||
\(202\) | −11.4908 | − | 3.19825i | −0.808493 | − | 0.225028i | ||||
\(203\) | 13.5993 | + | 11.7839i | 0.954486 | + | 0.827067i | ||||
\(204\) | −5.05735 | − | 4.13774i | −0.354085 | − | 0.289700i | ||||
\(205\) | −5.37055 | − | 11.7599i | −0.375095 | − | 0.821344i | ||||
\(206\) | 0.0829918 | + | 0.268538i | 0.00578231 | + | 0.0187099i | ||||
\(207\) | 3.13772 | − | 3.62694i | 0.218087 | − | 0.252090i | ||||
\(208\) | −8.67427 | − | 3.38281i | −0.601452 | − | 0.234556i | ||||
\(209\) | 0.425316 | + | 0.931312i | 0.0294197 | + | 0.0644202i | ||||
\(210\) | 5.81724 | + | 8.77644i | 0.401428 | + | 0.605632i | ||||
\(211\) | −7.39629 | + | 8.53577i | −0.509181 | + | 0.587627i | −0.950889 | − | 0.309533i | \(-0.899827\pi\) |
0.441708 | + | 0.897159i | \(0.354373\pi\) | |||||||
\(212\) | 8.75102 | − | 0.247537i | 0.601022 | − | 0.0170009i | ||||
\(213\) | 6.24065 | − | 5.40756i | 0.427602 | − | 0.370520i | ||||
\(214\) | 10.3629 | + | 21.8680i | 0.708395 | + | 1.49486i | ||||
\(215\) | −7.34780 | + | 25.0243i | −0.501116 | + | 1.70664i | ||||
\(216\) | −2.81419 | − | 0.283444i | −0.191481 | − | 0.0192859i | ||||
\(217\) | 15.1196 | + | 2.17387i | 1.02639 | + | 0.147572i | ||||
\(218\) | −27.9728 | − | 3.61897i | −1.89456 | − | 0.245108i | ||||
\(219\) | 2.25751 | − | 4.94325i | 0.152548 | − | 0.334034i | ||||
\(220\) | 17.3966 | − | 8.54728i | 1.17288 | − | 0.576258i | ||||
\(221\) | −6.39756 | + | 4.11146i | −0.430346 | + | 0.276567i | ||||
\(222\) | 0.0448296 | + | 3.17030i | 0.00300877 | + | 0.212776i | ||||
\(223\) | 25.2151 | − | 3.62539i | 1.68853 | − | 0.242774i | 0.769977 | − | 0.638072i | \(-0.220268\pi\) |
0.918553 | + | 0.395298i | \(0.129359\pi\) | |||||||
\(224\) | −6.55983 | − | 8.77575i | −0.438297 | − | 0.586354i | ||||
\(225\) | 8.22459 | + | 5.28562i | 0.548306 | + | 0.352375i | ||||
\(226\) | −2.71611 | + | 6.17712i | −0.180673 | + | 0.410896i | ||||
\(227\) | 4.57119 | + | 15.5680i | 0.303400 | + | 1.03329i | 0.960221 | + | 0.279240i | \(0.0900825\pi\) |
−0.656821 | + | 0.754046i | \(0.728099\pi\) | |||||||
\(228\) | 0.419607 | − | 0.695399i | 0.0277892 | − | 0.0460539i | ||||
\(229\) | −24.0052 | −1.58631 | −0.793153 | − | 0.609022i | \(-0.791562\pi\) | ||||
−0.793153 | + | 0.609022i | \(0.791562\pi\) | |||||||
\(230\) | 23.5511 | − | 11.1834i | 1.55291 | − | 0.737414i | ||||
\(231\) | − | 4.88315i | − | 0.321288i | ||||||
\(232\) | −25.5045 | − | 6.32743i | −1.67446 | − | 0.415416i | ||||
\(233\) | −16.7764 | + | 4.92600i | −1.09906 | + | 0.322713i | −0.780479 | − | 0.625182i | \(-0.785025\pi\) |
−0.318581 | + | 0.947896i | \(0.603206\pi\) | |||||||
\(234\) | −1.32498 | + | 3.01334i | −0.0866167 | + | 0.196988i | ||||
\(235\) | −6.40463 | + | 9.96579i | −0.417792 | + | 0.650097i | ||||
\(236\) | 0.683216 | + | 0.179791i | 0.0444736 | + | 0.0117034i | ||||
\(237\) | 1.11540 | + | 7.75775i | 0.0724528 | + | 0.503920i | ||||
\(238\) | −8.94831 | + | 0.126534i | −0.580032 | + | 0.00820196i | ||||
\(239\) | −5.08682 | − | 7.91525i | −0.329039 | − | 0.511995i | 0.636837 | − | 0.770998i | \(-0.280242\pi\) |
−0.965876 | + | 0.259003i | \(0.916606\pi\) | |||||||
\(240\) | −13.3845 | − | 7.56847i | −0.863963 | − | 0.488543i | ||||
\(241\) | −20.0496 | − | 9.15633i | −1.29151 | − | 0.589811i | −0.353177 | − | 0.935556i | \(-0.614899\pi\) |
−0.938328 | + | 0.345746i | \(0.887626\pi\) | |||||||
\(242\) | 6.51288 | + | 0.842602i | 0.418664 | + | 0.0541645i | ||||
\(243\) | −0.142315 | + | 0.989821i | −0.00912950 | + | 0.0634971i | ||||
\(244\) | 8.59911 | − | 20.3320i | 0.550501 | − | 1.30162i | ||||
\(245\) | −11.9819 | − | 3.51819i | −0.765492 | − | 0.224769i | ||||
\(246\) | 4.29807 | − | 2.03679i | 0.274035 | − | 0.129861i | ||||
\(247\) | −0.619001 | − | 0.714365i | −0.0393861 | − | 0.0454540i | ||||
\(248\) | −21.1172 | + | 7.18642i | −1.34094 | + | 0.456338i | ||||
\(249\) | 1.09467 | + | 0.948538i | 0.0693720 | + | 0.0601112i | ||||
\(250\) | 14.3462 | + | 21.6441i | 0.907335 | + | 1.36889i | ||||
\(251\) | −19.7894 | + | 9.03751i | −1.24909 | + | 0.570443i | −0.926571 | − | 0.376119i | \(-0.877258\pi\) |
−0.322523 | + | 0.946561i | \(0.604531\pi\) | |||||||
\(252\) | −3.19825 | + | 2.18559i | −0.201471 | + | 0.137679i | ||||
\(253\) | −11.9694 | − | 1.71124i | −0.752511 | − | 0.107585i | ||||
\(254\) | −2.77327 | + | 0.857081i | −0.174011 | + | 0.0537780i | ||||
\(255\) | −11.4242 | + | 5.21725i | −0.715410 | + | 0.326717i | ||||
\(256\) | 14.3504 | + | 7.07566i | 0.896902 | + | 0.442229i | ||||
\(257\) | 14.7899 | − | 17.0685i | 0.922569 | − | 1.06470i | −0.0751487 | − | 0.997172i | \(-0.523943\pi\) |
0.997717 | − | 0.0675286i | \(-0.0215114\pi\) | |||||||
\(258\) | −9.24371 | − | 2.57280i | −0.575488 | − | 0.160176i | ||||
\(259\) | 2.84364 | + | 3.28173i | 0.176695 | + | 0.203917i | ||||
\(260\) | −13.1874 | + | 12.0965i | −0.817848 | + | 0.750191i | ||||
\(261\) | −2.61746 | + | 8.91424i | −0.162017 | + | 0.551778i | ||||
\(262\) | −14.9579 | − | 12.5953i | −0.924104 | − | 0.778139i | ||||
\(263\) | 2.54736 | − | 17.7173i | 0.157077 | − | 1.09249i | −0.746908 | − | 0.664928i | \(-0.768462\pi\) |
0.903984 | − | 0.427565i | \(-0.140629\pi\) | |||||||
\(264\) | 3.23471 | + | 6.35509i | 0.199083 | + | 0.391129i | ||||
\(265\) | 6.98991 | − | 15.3058i | 0.429387 | − | 0.940226i | ||||
\(266\) | −0.173855 | − | 1.09867i | −0.0106597 | − | 0.0673640i | ||||
\(267\) | −9.05146 | − | 14.0843i | −0.553940 | − | 0.861948i | ||||
\(268\) | 9.13550 | + | 28.1431i | 0.558040 | + | 1.71911i | ||||
\(269\) | 21.0622 | − | 3.02829i | 1.28418 | − | 0.184638i | 0.533784 | − | 0.845621i | \(-0.320770\pi\) |
0.750401 | + | 0.660983i | \(0.229861\pi\) | |||||||
\(270\) | −2.87412 | + | 4.61439i | −0.174913 | + | 0.280823i | ||||
\(271\) | −8.78471 | + | 13.6693i | −0.533633 | + | 0.830349i | −0.998484 | − | 0.0550395i | \(-0.982472\pi\) |
0.464851 | + | 0.885389i | \(0.346108\pi\) | |||||||
\(272\) | 11.5618 | − | 6.09224i | 0.701037 | − | 0.369396i | ||||
\(273\) | 1.27013 | + | 4.32568i | 0.0768720 | + | 0.261802i | ||||
\(274\) | 7.14997 | + | 8.01953i | 0.431945 | + | 0.484477i | ||||
\(275\) | − | 24.6485i | − | 1.48636i | ||||||
\(276\) | 4.23647 | + | 8.60537i | 0.255005 | + | 0.517982i | ||||
\(277\) | 11.2795i | 0.677721i | 0.940837 | + | 0.338861i | \(0.110041\pi\) | ||||
−0.940837 | + | 0.338861i | \(0.889959\pi\) | |||||||
\(278\) | 4.95704 | − | 4.41955i | 0.297304 | − | 0.265067i | ||||
\(279\) | 2.22189 | + | 7.56707i | 0.133021 | + | 0.453029i | ||||
\(280\) | −20.6984 | + | 3.87818i | −1.23697 | + | 0.231765i | ||||
\(281\) | −4.78787 | + | 7.45007i | −0.285620 | + | 0.444434i | −0.954184 | − | 0.299221i | \(-0.903273\pi\) |
0.668564 | + | 0.743655i | \(0.266909\pi\) | |||||||
\(282\) | −3.69935 | − | 2.30418i | −0.220293 | − | 0.137212i | ||||
\(283\) | −11.4048 | + | 1.63976i | −0.677945 | + | 0.0974738i | −0.472682 | − | 0.881233i | \(-0.656714\pi\) |
−0.205263 | + | 0.978707i | \(0.565805\pi\) | |||||||
\(284\) | 5.09905 | + | 15.7083i | 0.302573 | + | 0.932114i | ||||
\(285\) | −0.843962 | − | 1.31323i | −0.0499920 | − | 0.0777890i | ||||
\(286\) | 8.19715 | − | 1.29712i | 0.484708 | − | 0.0767004i | ||||
\(287\) | 2.70601 | − | 5.92533i | 0.159731 | − | 0.349761i | ||||
\(288\) | 2.71453 | − | 4.96300i | 0.159955 | − | 0.292447i | ||||
\(289\) | −0.900225 | + | 6.26120i | −0.0529544 | + | 0.368306i | ||||
\(290\) | −32.5315 | + | 38.6339i | −1.91032 | + | 2.26866i | ||||
\(291\) | 2.16206 | − | 7.36329i | 0.126742 | − | 0.431644i | ||||
\(292\) | 7.34688 | + | 8.00947i | 0.429944 | + | 0.468719i | ||||
\(293\) | −12.1952 | − | 14.0740i | −0.712449 | − | 0.822210i | 0.277929 | − | 0.960602i | \(-0.410352\pi\) |
−0.990378 | + | 0.138392i | \(0.955807\pi\) | |||||||
\(294\) | 1.23188 | − | 4.42596i | 0.0718447 | − | 0.258127i | ||||
\(295\) | 0.889209 | − | 1.02620i | 0.0517718 | − | 0.0597478i | ||||
\(296\) | −5.87470 | − | 2.38727i | −0.341460 | − | 0.138757i | ||||
\(297\) | 2.29334 | − | 1.04733i | 0.133073 | − | 0.0607725i | ||||
\(298\) | 5.44625 | + | 17.6225i | 0.315493 | + | 1.02085i | ||||
\(299\) | 11.0481 | − | 1.59743i | 0.638926 | − | 0.0923820i | ||||
\(300\) | −16.1437 | + | 11.0321i | −0.932057 | + | 0.636940i | ||||
\(301\) | −11.9535 | + | 5.45900i | −0.688990 | + | 0.314651i | ||||
\(302\) | 12.6944 | − | 8.41420i | 0.730483 | − | 0.484183i | ||||
\(303\) | −6.37407 | − | 5.52316i | −0.366181 | − | 0.317297i | ||||
\(304\) | 0.954047 | + | 1.31468i | 0.0547183 | + | 0.0754023i | ||||
\(305\) | −27.7856 | − | 32.0663i | −1.59100 | − | 1.83611i | ||||
\(306\) | −1.97865 | − | 4.17538i | −0.113112 | − | 0.238690i | ||||
\(307\) | 12.2213 | + | 3.58851i | 0.697509 | + | 0.204807i | 0.611217 | − | 0.791463i | \(-0.290680\pi\) |
0.0862915 | + | 0.996270i | \(0.472498\pi\) | |||||||
\(308\) | 8.99490 | + | 3.80425i | 0.512532 | + | 0.216768i | ||||
\(309\) | −0.0282846 | + | 0.196724i | −0.00160905 | + | 0.0111912i | ||||
\(310\) | −5.50090 | + | 42.5191i | −0.312430 | + | 2.41492i | ||||
\(311\) | −22.5322 | − | 10.2901i | −1.27768 | − | 0.583499i | −0.343120 | − | 0.939292i | \(-0.611484\pi\) |
−0.934565 | + | 0.355793i | \(0.884211\pi\) | |||||||
\(312\) | −4.51842 | − | 4.78822i | −0.255805 | − | 0.271079i | ||||
\(313\) | 8.85453 | + | 13.7779i | 0.500487 | + | 0.778774i | 0.995955 | − | 0.0898528i | \(-0.0286397\pi\) |
−0.495468 | + | 0.868626i | \(0.665003\pi\) | |||||||
\(314\) | 0.109521 | + | 7.74520i | 0.00618063 | + | 0.437087i | ||||
\(315\) | 1.05958 | + | 7.36955i | 0.0597007 | + | 0.415227i | ||||
\(316\) | −15.1590 | − | 3.98914i | −0.852758 | − | 0.224407i | ||||
\(317\) | 12.3491 | − | 19.2155i | 0.693594 | − | 1.07925i | −0.298580 | − | 0.954385i | \(-0.596513\pi\) |
0.992173 | − | 0.124868i | \(-0.0398508\pi\) | |||||||
\(318\) | 5.66676 | + | 2.49170i | 0.317776 | + | 0.139728i | ||||
\(319\) | 22.4744 | − | 6.59907i | 1.25832 | − | 0.369477i | ||||
\(320\) | 24.3686 | − | 18.7583i | 1.36225 | − | 1.04862i | ||||
\(321\) | 17.1114i | 0.955064i | ||||||||
\(322\) | 12.0294 | + | 5.27800i | 0.670375 | + | 0.294131i | ||||
\(323\) | 1.32678 | 0.0738240 | ||||||||
\(324\) | −1.71241 | − | 1.03328i | −0.0951338 | − | 0.0574042i | ||||
\(325\) | 6.41121 | + | 21.8346i | 0.355630 | + | 1.21116i | ||||
\(326\) | 6.40794 | + | 2.81760i | 0.354903 | + | 0.156053i | ||||
\(327\) | −16.7785 | − | 10.7829i | −0.927851 | − | 0.596294i | ||||
\(328\) | 0.403387 | + | 9.50394i | 0.0222733 | + | 0.524767i | ||||
\(329\) | −5.90816 | + | 0.849465i | −0.325727 | + | 0.0468325i | ||||
\(330\) | 13.7044 | − | 0.193788i | 0.754405 | − | 0.0106677i | ||||
\(331\) | −5.40514 | + | 3.47367i | −0.297093 | + | 0.190930i | −0.680692 | − | 0.732570i | \(-0.738321\pi\) |
0.383599 | + | 0.923500i | \(0.374685\pi\) | |||||||
\(332\) | −2.60005 | + | 1.27745i | −0.142696 | + | 0.0701092i | ||||
\(333\) | −0.931345 | + | 2.03936i | −0.0510374 | + | 0.111756i | ||||
\(334\) | 2.23700 | − | 17.2909i | 0.122403 | − | 0.946115i | ||||
\(335\) | 56.2911 | + | 8.09344i | 3.07551 | + | 0.442192i | ||||
\(336\) | −1.53430 | − | 7.59398i | −0.0837029 | − | 0.414285i | ||||
\(337\) | −8.09480 | + | 27.5684i | −0.440952 | + | 1.50174i | 0.376866 | + | 0.926268i | \(0.377002\pi\) |
−0.817818 | + | 0.575477i | \(0.804816\pi\) | |||||||
\(338\) | 9.68976 | − | 4.59184i | 0.527054 | − | 0.249763i | ||||
\(339\) | −3.60604 | + | 3.12465i | −0.195853 | + | 0.169708i | ||||
\(340\) | −0.710227 | − | 25.1082i | −0.0385175 | − | 1.36168i | ||||
\(341\) | 13.0208 | − | 15.0268i | 0.705116 | − | 0.813748i | ||||
\(342\) | 0.478697 | − | 0.317292i | 0.0258850 | − | 0.0171572i | ||||
\(343\) | −8.24600 | − | 18.0562i | −0.445242 | − | 0.974945i | ||||
\(344\) | 11.9406 | − | 15.0228i | 0.643792 | − | 0.809976i | ||||
\(345\) | 18.4353 | − | 0.0146484i | 0.992525 | − | 0.000788642i | ||||
\(346\) | 17.1684 | − | 5.30589i | 0.922978 | − | 0.285246i | ||||
\(347\) | −14.1387 | − | 30.9594i | −0.759004 | − | 1.66199i | −0.749475 | − | 0.662032i | \(-0.769694\pi\) |
−0.00952875 | − | 0.999955i | \(-0.503033\pi\) | |||||||
\(348\) | −14.3811 | − | 11.7661i | −0.770910 | − | 0.630731i | ||||
\(349\) | 2.78397 | + | 2.41232i | 0.149022 | + | 0.129129i | 0.726181 | − | 0.687503i | \(-0.241293\pi\) |
−0.577159 | + | 0.816632i | \(0.695839\pi\) | |||||||
\(350\) | −7.18056 | + | 25.7987i | −0.383817 | + | 1.37900i | ||||
\(351\) | −1.75911 | + | 1.52428i | −0.0938944 | + | 0.0813600i | ||||
\(352\) | −14.2263 | + | 1.00745i | −0.758264 | + | 0.0536971i | ||||
\(353\) | −7.30271 | − | 2.14427i | −0.388684 | − | 0.114128i | 0.0815509 | − | 0.996669i | \(-0.474013\pi\) |
−0.470235 | + | 0.882541i | \(0.655831\pi\) | |||||||
\(354\) | 0.382126 | + | 0.321768i | 0.0203098 | + | 0.0171018i | ||||
\(355\) | 31.4193 | + | 4.51741i | 1.66756 | + | 0.239759i | ||||
\(356\) | 32.9954 | − | 5.70053i | 1.74875 | − | 0.302128i | ||||
\(357\) | −5.75619 | − | 2.62876i | −0.304650 | − | 0.139129i | ||||
\(358\) | −23.3736 | + | 3.69864i | −1.23533 | + | 0.195479i | ||||
\(359\) | −29.0432 | + | 18.6649i | −1.53284 | + | 0.985098i | −0.543513 | + | 0.839401i | \(0.682906\pi\) |
−0.989329 | + | 0.145697i | \(0.953458\pi\) | |||||||
\(360\) | −6.26074 | − | 8.88909i | −0.329970 | − | 0.468496i | ||||
\(361\) | −2.68051 | − | 18.6434i | −0.141080 | − | 0.981230i | ||||
\(362\) | 16.4133 | − | 26.3514i | 0.862661 | − | 1.38500i | ||||
\(363\) | 3.90651 | + | 2.51056i | 0.205039 | + | 0.131770i | ||||
\(364\) | −8.95754 | − | 1.03033i | −0.469502 | − | 0.0540040i | ||||
\(365\) | 20.0436 | − | 5.88533i | 1.04913 | − | 0.308052i | ||||
\(366\) | 11.6514 | − | 10.3881i | 0.609030 | − | 0.542993i | ||||
\(367\) | −31.4493 | −1.64164 | −0.820820 | − | 0.571187i | \(-0.806483\pi\) | ||||
−0.820820 | + | 0.571187i | \(0.806483\pi\) | |||||||
\(368\) | −19.1518 | + | 1.09962i | −0.998356 | + | 0.0573214i | ||||
\(369\) | 3.36317 | 0.175080 | ||||||||
\(370\) | −9.09726 | + | 8.11084i | −0.472944 | + | 0.421663i | ||||
\(371\) | 8.13469 | − | 2.38856i | 0.422332 | − | 0.124008i | ||||
\(372\) | −15.6698 | − | 1.80239i | −0.812439 | − | 0.0934498i | ||||
\(373\) | −7.10395 | − | 4.56543i | −0.367829 | − | 0.236389i | 0.343648 | − | 0.939098i | \(-0.388337\pi\) |
−0.711477 | + | 0.702709i | \(0.751974\pi\) | |||||||
\(374\) | −6.15875 | + | 9.88786i | −0.318461 | + | 0.511289i | ||||
\(375\) | 2.61310 | + | 18.1745i | 0.134940 | + | 0.938526i | ||||
\(376\) | 7.12636 | − | 5.01922i | 0.367514 | − | 0.258846i | ||||
\(377\) | −18.1922 | + | 11.6914i | −0.936945 | + | 0.602138i | ||||
\(378\) | −2.70546 | + | 0.428114i | −0.139154 | + | 0.0220198i | ||||
\(379\) | 28.2936 | + | 12.9212i | 1.45334 | + | 0.663719i | 0.976549 | − | 0.215296i | \(-0.0690716\pi\) |
0.476794 | + | 0.879015i | \(0.341799\pi\) | |||||||
\(380\) | 3.07650 | − | 0.531520i | 0.157821 | − | 0.0272664i | ||||
\(381\) | −2.03162 | − | 0.292103i | −0.104083 | − | 0.0149649i | ||||
\(382\) | 15.6314 | + | 13.1623i | 0.799770 | + | 0.673444i | ||||
\(383\) | −3.60573 | − | 1.05874i | −0.184244 | − | 0.0540990i | 0.188309 | − | 0.982110i | \(-0.439699\pi\) |
−0.372553 | + | 0.928011i | \(0.621518\pi\) | |||||||
\(384\) | 7.02721 | + | 8.86670i | 0.358606 | + | 0.452477i | ||||
\(385\) | 14.1862 | − | 12.2924i | 0.722994 | − | 0.626478i | ||||
\(386\) | 9.18201 | − | 32.9896i | 0.467352 | − | 1.67913i | ||||
\(387\) | −5.12757 | − | 4.44306i | −0.260649 | − | 0.225853i | ||||
\(388\) | 11.8790 | + | 9.71900i | 0.603066 | + | 0.493407i | ||||
\(389\) | 8.49321 | + | 18.5975i | 0.430623 | + | 0.942932i | 0.993225 | + | 0.116205i | \(0.0370728\pi\) |
−0.562603 | + | 0.826727i | \(0.690200\pi\) | |||||||
\(390\) | −12.0895 | + | 3.73627i | −0.612177 | + | 0.189193i | ||||
\(391\) | −8.46072 | + | 13.1882i | −0.427877 | + | 0.666954i | ||||
\(392\) | 7.19305 | + | 5.71724i | 0.363304 | + | 0.288764i | ||||
\(393\) | −5.74401 | − | 12.5776i | −0.289747 | − | 0.634457i | ||||
\(394\) | 5.56951 | − | 3.69161i | 0.280588 | − | 0.185981i | ||||
\(395\) | −19.7295 | + | 22.7690i | −0.992697 | + | 1.14563i | ||||
\(396\) | 0.142574 | + | 5.04033i | 0.00716463 | + | 0.253286i | ||||
\(397\) | −0.212003 | + | 0.183702i | −0.0106401 | + | 0.00921974i | −0.660165 | − | 0.751121i | \(-0.729513\pi\) |
0.649524 | + | 0.760341i | \(0.274968\pi\) | |||||||
\(398\) | −7.80472 | + | 3.69854i | −0.391215 | + | 0.185391i | ||||
\(399\) | 0.221596 | − | 0.754685i | 0.0110937 | − | 0.0377815i | ||||
\(400\) | −7.74463 | − | 38.3318i | −0.387231 | − | 1.91659i | ||||
\(401\) | −16.9197 | − | 2.43269i | −0.844931 | − | 0.121483i | −0.293765 | − | 0.955878i | \(-0.594908\pi\) |
−0.551167 | + | 0.834395i | \(0.685817\pi\) | |||||||
\(402\) | −2.68445 | + | 20.7494i | −0.133888 | + | 1.03489i | ||||
\(403\) | −7.62577 | + | 16.6981i | −0.379867 | + | 0.831792i | ||||
\(404\) | 15.1396 | − | 7.43836i | 0.753223 | − | 0.370072i | ||||
\(405\) | −3.23381 | + | 2.07824i | −0.160689 | + | 0.103269i | ||||
\(406\) | −25.4455 | + | 0.359813i | −1.26284 | + | 0.0178572i | ||||
\(407\) | 5.59484 | − | 0.804417i | 0.277326 | − | 0.0398735i | ||||
\(408\) | 9.23264 | − | 0.391872i | 0.457084 | − | 0.0194005i | ||||
\(409\) | 15.1137 | + | 9.71301i | 0.747326 | + | 0.480277i | 0.858045 | − | 0.513574i | \(-0.171679\pi\) |
−0.110719 | + | 0.993852i | \(0.535315\pi\) | |||||||
\(410\) | 16.7367 | + | 7.35920i | 0.826566 | + | 0.363445i | ||||
\(411\) | 2.14038 | + | 7.28946i | 0.105577 | + | 0.359563i | ||||
\(412\) | −0.340335 | − | 0.205360i | −0.0167671 | − | 0.0101174i | ||||
\(413\) | 0.684172 | 0.0336659 | ||||||||
\(414\) | 0.101285 | + | 6.78157i | 0.00497786 | + | 0.333296i | ||||
\(415\) | 5.56792i | 0.273319i | ||||||||
\(416\) | 12.3401 | − | 4.59277i | 0.605025 | − | 0.225179i | ||||
\(417\) | 4.50577 | − | 1.32301i | 0.220649 | − | 0.0647883i | ||||
\(418\) | −1.32545 | − | 0.582805i | −0.0648297 | − | 0.0285059i | ||||
\(419\) | 5.98141 | − | 9.30726i | 0.292211 | − | 0.454689i | −0.663846 | − | 0.747869i | \(-0.731077\pi\) |
0.956057 | + | 0.293180i | \(0.0947135\pi\) | |||||||
\(420\) | −14.4004 | − | 3.78953i | −0.702668 | − | 0.184910i | ||||
\(421\) | 1.50170 | + | 10.4446i | 0.0731884 | + | 0.509036i | 0.993133 | + | 0.116989i | \(0.0373241\pi\) |
−0.919945 | + | 0.392048i | \(0.871767\pi\) | |||||||
\(422\) | −0.225840 | − | 15.9712i | −0.0109937 | − | 0.777464i | ||||
\(423\) | −1.66612 | − | 2.59254i | −0.0810096 | − | 0.126053i | ||||
\(424\) | −9.00452 | + | 8.49716i | −0.437298 | + | 0.412659i | ||||
\(425\) | −29.0553 | − | 13.2691i | −1.40939 | − | 0.643646i | ||||
\(426\) | −1.49835 | + | 11.5814i | −0.0725951 | + | 0.561123i | ||||
\(427\) | 3.04250 | − | 21.1611i | 0.147237 | − | 1.02406i | ||||
\(428\) | −31.5197 | − | 13.3308i | −1.52356 | − | 0.644366i | ||||
\(429\) | 5.63067 | + | 1.65331i | 0.271851 | + | 0.0798227i | ||||
\(430\) | −15.7949 | − | 33.3307i | −0.761699 | − | 1.60735i | ||||
\(431\) | −0.793420 | − | 0.915656i | −0.0382177 | − | 0.0441056i | 0.736319 | − | 0.676635i | \(-0.236562\pi\) |
−0.774537 | + | 0.632529i | \(0.782017\pi\) | |||||||
\(432\) | 3.23739 | − | 2.34932i | 0.155759 | − | 0.113032i | ||||
\(433\) | 16.0333 | + | 13.8929i | 0.770509 | + | 0.667650i | 0.948640 | − | 0.316357i | \(-0.102460\pi\) |
−0.178131 | + | 0.984007i | \(0.557005\pi\) | |||||||
\(434\) | −18.0060 | + | 11.9348i | −0.864316 | + | 0.572890i | ||||
\(435\) | −32.4859 | + | 14.8358i | −1.55758 | + | 0.711324i | ||||
\(436\) | 32.9337 | − | 22.5059i | 1.57724 | − | 1.07784i | ||||
\(437\) | −1.77220 | − | 0.807637i | −0.0847760 | − | 0.0386345i | ||||
\(438\) | 2.26925 | + | 7.34266i | 0.108429 | + | 0.350846i | ||||
\(439\) | 2.00902 | − | 0.917487i | 0.0958851 | − | 0.0437893i | −0.366895 | − | 0.930262i | \(-0.619579\pi\) |
0.462780 | + | 0.886473i | \(0.346852\pi\) | |||||||
\(440\) | −10.3196 | + | 25.3950i | −0.491967 | + | 1.21066i | ||||
\(441\) | 2.12737 | − | 2.45512i | 0.101304 | − | 0.116911i | ||||
\(442\) | 2.88377 | − | 10.3610i | 0.137167 | − | 0.492821i | ||||
\(443\) | 21.6826 | + | 25.0231i | 1.03017 | + | 1.18888i | 0.981774 | + | 0.190054i | \(0.0608663\pi\) |
0.0483985 | + | 0.998828i | \(0.484588\pi\) | |||||||
\(444\) | −3.03099 | − | 3.30434i | −0.143844 | − | 0.156817i | ||||
\(445\) | 18.1315 | − | 61.7503i | 0.859516 | − | 2.92724i | ||||
\(446\) | −23.2049 | + | 27.5577i | −1.09878 | + | 1.30489i | ||||
\(447\) | −1.85615 | + | 12.9098i | −0.0877928 | + | 0.610612i | ||||
\(448\) | 15.1836 | + | 3.08992i | 0.717359 | + | 0.145985i | ||||
\(449\) | −7.20577 | + | 15.7784i | −0.340061 | + | 0.744630i | −0.999977 | − | 0.00670907i | \(-0.997864\pi\) |
0.659916 | + | 0.751339i | \(0.270592\pi\) | |||||||
\(450\) | −13.6563 | + | 2.16098i | −0.643763 | + | 0.101869i | ||||
\(451\) | −4.58417 | − | 7.13311i | −0.215860 | − | 0.335885i | ||||
\(452\) | −2.94639 | − | 9.07672i | −0.138586 | − | 0.426933i | ||||
\(453\) | 10.6595 | − | 1.53260i | 0.500827 | − | 0.0720081i | ||||
\(454\) | −19.4769 | − | 12.1314i | −0.914095 | − | 0.569353i | ||||
\(455\) | −9.36933 | + | 14.5790i | −0.439241 | + | 0.683472i | ||||
\(456\) | 0.211529 | + | 1.12896i | 0.00990575 | + | 0.0528685i | ||||
\(457\) | −6.80118 | − | 23.1627i | −0.318146 | − | 1.08351i | −0.950989 | − | 0.309225i | \(-0.899930\pi\) |
0.632843 | − | 0.774280i | \(-0.281888\pi\) | |||||||
\(458\) | 25.3396 | − | 22.5920i | 1.18404 | − | 1.05566i | ||||
\(459\) | − | 3.26717i | − | 0.152499i | ||||||
\(460\) | −14.3352 | + | 33.9698i | −0.668382 | + | 1.58385i | ||||
\(461\) | 27.0003i | 1.25753i | 0.777595 | + | 0.628766i | \(0.216439\pi\) | ||||
−0.777595 | + | 0.628766i | \(0.783561\pi\) | |||||||
\(462\) | 4.59569 | + | 5.15460i | 0.213811 | + | 0.239814i | ||||
\(463\) | −4.15974 | − | 14.1668i | −0.193320 | − | 0.658386i | −0.997914 | − | 0.0645610i | \(-0.979435\pi\) |
0.804594 | − | 0.593825i | \(-0.202383\pi\) | |||||||
\(464\) | 32.8773 | − | 17.3240i | 1.52629 | − | 0.804245i | ||||
\(465\) | −16.3901 | + | 25.5035i | −0.760074 | + | 1.18270i | ||||
\(466\) | 13.0730 | − | 20.9887i | 0.605595 | − | 0.972281i | ||||
\(467\) | 22.0579 | − | 3.17144i | 1.02072 | − | 0.146757i | 0.388419 | − | 0.921483i | \(-0.373021\pi\) |
0.632297 | + | 0.774726i | \(0.282112\pi\) | |||||||
\(468\) | −1.43732 | − | 4.42783i | −0.0664400 | − | 0.204677i | ||||
\(469\) | 15.4918 | + | 24.1057i | 0.715345 | + | 1.11310i | ||||
\(470\) | −2.61847 | − | 16.5474i | −0.120781 | − | 0.763274i | ||||
\(471\) | −2.27532 | + | 4.98226i | −0.104841 | + | 0.229571i | ||||
\(472\) | −0.890404 | + | 0.453211i | −0.0409841 | + | 0.0208607i | ||||
\(473\) | −2.43437 | + | 16.9314i | −0.111932 | + | 0.778507i | ||||
\(474\) | −8.47847 | − | 7.13927i | −0.389429 | − | 0.327918i | ||||
\(475\) | 1.11854 | − | 3.80940i | 0.0513221 | − | 0.174787i | ||||
\(476\) | 9.32666 | − | 8.55511i | 0.427487 | − | 0.392123i | ||||
\(477\) | 2.86649 | + | 3.30811i | 0.131248 | + | 0.151468i | ||||
\(478\) | 12.8189 | + | 3.56789i | 0.586323 | + | 0.163191i | ||||
\(479\) | −5.21394 | + | 6.01720i | −0.238231 | + | 0.274933i | −0.862258 | − | 0.506470i | \(-0.830950\pi\) |
0.624027 | + | 0.781403i | \(0.285496\pi\) | |||||||
\(480\) | 21.2514 | − | 4.60734i | 0.969991 | − | 0.210296i | ||||
\(481\) | −4.74689 | + | 2.16783i | −0.216440 | + | 0.0988447i | ||||
\(482\) | 29.7814 | − | 9.20396i | 1.35651 | − | 0.419229i | ||||
\(483\) | 6.08847 | + | 7.01520i | 0.277035 | + | 0.319202i | ||||
\(484\) | −7.66793 | + | 5.24004i | −0.348542 | + | 0.238183i | ||||
\(485\) | 26.8339 | − | 12.2546i | 1.21846 | − | 0.556453i | ||||
\(486\) | −0.781327 | − | 1.17878i | −0.0354417 | − | 0.0534707i | ||||
\(487\) | 11.7022 | + | 10.1400i | 0.530277 | + | 0.459488i | 0.878376 | − | 0.477970i | \(-0.158627\pi\) |
−0.348099 | + | 0.937458i | \(0.613173\pi\) | |||||||
\(488\) | 10.0580 | + | 29.5552i | 0.455303 | + | 1.33790i | ||||
\(489\) | 3.24142 | + | 3.74079i | 0.146582 | + | 0.169165i | ||||
\(490\) | 15.9590 | − | 7.56274i | 0.720954 | − | 0.341650i | ||||
\(491\) | 36.4594 | + | 10.7054i | 1.64539 | + | 0.483130i | 0.967676 | − | 0.252196i | \(-0.0811529\pi\) |
0.677713 | + | 0.735326i | \(0.262971\pi\) | |||||||
\(492\) | −2.62011 | + | 6.19506i | −0.118124 | + | 0.279295i | ||||
\(493\) | 4.31981 | − | 30.0449i | 0.194554 | − | 1.35316i | ||||
\(494\) | 1.32572 | + | 0.171515i | 0.0596471 | + | 0.00771683i | ||||
\(495\) | 8.81568 | + | 4.02598i | 0.396235 | + | 0.180955i | ||||
\(496\) | 15.5277 | − | 27.4600i | 0.697214 | − | 1.23299i | ||||
\(497\) | 8.64685 | + | 13.4548i | 0.387864 | + | 0.603529i | ||||
\(498\) | −2.04822 | + | 0.0289629i | −0.0917831 | + | 0.00129786i | ||||
\(499\) | −4.73560 | − | 32.9368i | −0.211994 | − | 1.47445i | −0.766484 | − | 0.642263i | \(-0.777996\pi\) |
0.554490 | − | 0.832190i | \(-0.312913\pi\) | |||||||
\(500\) | −35.5137 | − | 9.34557i | −1.58822 | − | 0.417947i | ||||
\(501\) | 6.66523 | − | 10.3713i | 0.297781 | − | 0.463356i | ||||
\(502\) | 12.3840 | − | 28.1643i | 0.552724 | − | 1.25704i | ||||
\(503\) | 20.5458 | − | 6.03280i | 0.916093 | − | 0.268989i | 0.210489 | − | 0.977596i | \(-0.432494\pi\) |
0.705603 | + | 0.708607i | \(0.250676\pi\) | |||||||
\(504\) | 1.31911 | − | 5.31707i | 0.0587580 | − | 0.236841i | ||||
\(505\) | − | 32.4210i | − | 1.44271i | ||||||
\(506\) | 14.2453 | − | 9.45844i | 0.633281 | − | 0.420479i | ||||
\(507\) | 7.58210 | 0.336733 | ||||||||
\(508\) | 2.12081 | − | 3.51474i | 0.0940959 | − | 0.155942i | ||||
\(509\) | 7.07304 | + | 24.0886i | 0.313507 | + | 1.06771i | 0.954016 | + | 0.299756i | \(0.0969054\pi\) |
−0.640509 | + | 0.767951i | \(0.721276\pi\) | |||||||
\(510\) | 7.14913 | − | 16.2589i | 0.316569 | − | 0.719958i | ||||
\(511\) | 8.85464 | + | 5.69053i | 0.391706 | + | 0.251734i | ||||
\(512\) | −21.8073 | + | 6.03666i | −0.963756 | + | 0.266785i | ||||
\(513\) | 0.401961 | − | 0.0577932i | 0.0177470 | − | 0.00255163i | ||||
\(514\) | 0.451599 | + | 31.9365i | 0.0199192 | + | 1.40866i | ||||
\(515\) | −0.642708 | + | 0.413043i | −0.0283211 | + | 0.0182009i | ||||
\(516\) | 12.1789 | − | 5.98372i | 0.536147 | − | 0.263419i | ||||
\(517\) | −3.22762 | + | 7.06751i | −0.141951 | + | 0.310829i | ||||
\(518\) | −6.09026 | − | 0.787926i | −0.267591 | − | 0.0346195i | ||||
\(519\) | 12.5771 | + | 1.80831i | 0.552072 | + | 0.0793760i | ||||
\(520\) | 2.53612 | − | 25.1800i | 0.111216 | − | 1.10422i | ||||
\(521\) | −0.840044 | + | 2.86093i | −0.0368030 | + | 0.125339i | −0.975846 | − | 0.218461i | \(-0.929896\pi\) |
0.939043 | + | 0.343801i | \(0.111714\pi\) | |||||||
\(522\) | −5.62652 | − | 11.8732i | −0.246266 | − | 0.519674i | ||||
\(523\) | −1.65634 | + | 1.43523i | −0.0724269 | + | 0.0627583i | −0.690322 | − | 0.723502i | \(-0.742531\pi\) |
0.617895 | + | 0.786261i | \(0.287986\pi\) | |||||||
\(524\) | 27.6433 | − | 0.781936i | 1.20760 | − | 0.0341590i | ||||
\(525\) | −12.4003 | + | 14.3108i | −0.541195 | + | 0.624573i | ||||
\(526\) | 13.9853 | + | 21.0996i | 0.609789 | + | 0.919985i | ||||
\(527\) | −10.7039 | − | 23.4382i | −0.466267 | − | 1.02098i | ||||
\(528\) | −9.39551 | − | 3.66408i | −0.408887 | − | 0.159459i | ||||
\(529\) | 19.3290 | − | 12.4655i | 0.840393 | − | 0.541977i | ||||
\(530\) | 7.02627 | + | 22.7350i | 0.305202 | + | 0.987547i | ||||
\(531\) | 0.146741 | + | 0.321317i | 0.00636800 | + | 0.0139440i | ||||
\(532\) | 1.21752 | + | 0.996128i | 0.0527860 | + | 0.0431876i | ||||
\(533\) | 5.91620 | + | 5.12642i | 0.256259 | + | 0.222050i | ||||
\(534\) | 22.8099 | + | 6.34868i | 0.987079 | + | 0.274734i | ||||
\(535\) | −49.7107 | + | 43.0746i | −2.14918 | + | 1.86228i | ||||
\(536\) | −36.1297 | − | 21.1098i | −1.56057 | − | 0.911806i | ||||
\(537\) | −16.0554 | − | 4.71430i | −0.692843 | − | 0.203437i | ||||
\(538\) | −19.3830 | + | 23.0189i | −0.835661 | + | 0.992417i | ||||
\(539\) | −8.10690 | − | 1.16560i | −0.349189 | − | 0.0502058i | ||||
\(540\) | −1.30886 | − | 7.57583i | −0.0563243 | − | 0.326012i | ||||
\(541\) | 9.89262 | + | 4.51781i | 0.425317 | + | 0.194236i | 0.616562 | − | 0.787307i | \(-0.288525\pi\) |
−0.191245 | + | 0.981542i | \(0.561252\pi\) | |||||||
\(542\) | −3.59154 | − | 22.6967i | −0.154270 | − | 0.974908i | ||||
\(543\) | 18.4673 | − | 11.8682i | 0.792508 | − | 0.509314i | ||||
\(544\) | −6.47092 | + | 17.3121i | −0.277438 | + | 0.742250i | ||||
\(545\) | −10.9110 | − | 75.8873i | −0.467374 | − | 3.25066i | ||||
\(546\) | −5.41178 | − | 3.37078i | −0.231603 | − | 0.144256i | ||||
\(547\) | 5.38124 | + | 3.45831i | 0.230085 | + | 0.147867i | 0.650604 | − | 0.759417i | \(-0.274516\pi\) |
−0.420519 | + | 0.907284i | \(0.638152\pi\) | |||||||
\(548\) | −15.0949 | − | 1.73627i | −0.644821 | − | 0.0741698i | ||||
\(549\) | 10.5907 | − | 3.10972i | 0.452001 | − | 0.132719i | ||||
\(550\) | 23.1975 | + | 26.0187i | 0.989144 | + | 1.10944i | ||||
\(551\) | 3.77285 | 0.160729 | ||||||||
\(552\) | −12.5708 | − | 5.09667i | −0.535047 | − | 0.216929i | ||||
\(553\) | −15.1802 | −0.645526 | ||||||||
\(554\) | −10.6155 | − | 11.9066i | −0.451010 | − | 0.505861i | ||||
\(555\) | −8.26908 | + | 2.42802i | −0.351003 | + | 0.103064i | ||||
\(556\) | −1.07323 | + | 9.33047i | −0.0455149 | + | 0.395700i | ||||
\(557\) | −6.81780 | − | 4.38153i | −0.288879 | − | 0.185651i | 0.388173 | − | 0.921587i | \(-0.373106\pi\) |
−0.677052 | + | 0.735935i | \(0.736743\pi\) | |||||||
\(558\) | −9.46703 | − | 5.89663i | −0.400771 | − | 0.249624i | ||||
\(559\) | −2.24750 | − | 15.6317i | −0.0950590 | − | 0.661150i | ||||
\(560\) | 18.1992 | − | 23.5737i | 0.769055 | − | 0.996171i | ||||
\(561\) | −6.92950 | + | 4.45332i | −0.292564 | + | 0.188019i | ||||
\(562\) | −1.95747 | − | 12.3702i | −0.0825710 | − | 0.521807i | ||||
\(563\) | 2.33073 | + | 1.06441i | 0.0982284 | + | 0.0448594i | 0.463923 | − | 0.885875i | \(-0.346441\pi\) |
−0.365695 | + | 0.930735i | \(0.619169\pi\) | |||||||
\(564\) | 6.07353 | − | 1.04931i | 0.255742 | − | 0.0441839i | ||||
\(565\) | −18.1550 | − | 2.61030i | −0.763788 | − | 0.109816i | ||||
\(566\) | 10.4956 | − | 12.4643i | 0.441161 | − | 0.523915i | ||||
\(567\) | −1.85840 | − | 0.545675i | −0.0780454 | − | 0.0229162i | ||||
\(568\) | −20.1660 | − | 11.7826i | −0.846149 | − | 0.494387i | ||||
\(569\) | −12.5817 | + | 10.9021i | −0.527452 | + | 0.457040i | −0.877421 | − | 0.479721i | \(-0.840738\pi\) |
0.349969 | + | 0.936761i | \(0.386192\pi\) | |||||||
\(570\) | 2.12680 | + | 0.591953i | 0.0890819 | + | 0.0247942i | ||||
\(571\) | 14.2668 | + | 12.3623i | 0.597049 | + | 0.517346i | 0.900131 | − | 0.435618i | \(-0.143470\pi\) |
−0.303082 | + | 0.952964i | \(0.598016\pi\) | |||||||
\(572\) | −7.43207 | + | 9.08383i | −0.310750 | + | 0.379814i | ||||
\(573\) | 6.00261 | + | 13.1439i | 0.250763 | + | 0.549094i | ||||
\(574\) | 2.72008 | + | 8.80143i | 0.113534 | + | 0.367364i | ||||
\(575\) | 30.7325 | + | 35.4103i | 1.28164 | + | 1.47671i | ||||
\(576\) | 1.80541 | + | 7.79362i | 0.0752254 | + | 0.324734i | ||||
\(577\) | 2.47133 | + | 5.41145i | 0.102883 | + | 0.225281i | 0.954072 | − | 0.299577i | \(-0.0968455\pi\) |
−0.851190 | + | 0.524858i | \(0.824118\pi\) | |||||||
\(578\) | −4.94235 | − | 7.45649i | −0.205575 | − | 0.310149i | ||||
\(579\) | 15.8567 | − | 18.2996i | 0.658983 | − | 0.760506i | ||||
\(580\) | −2.01961 | − | 71.3980i | −0.0838598 | − | 2.96464i | ||||
\(581\) | −2.12022 | + | 1.83718i | −0.0879616 | + | 0.0762191i | ||||
\(582\) | 4.64758 | + | 9.80740i | 0.192649 | + | 0.406530i | ||||
\(583\) | 3.10915 | − | 10.5888i | 0.128768 | − | 0.438543i | ||||
\(584\) | −15.2933 | − | 1.54033i | −0.632840 | − | 0.0637393i | ||||
\(585\) | −8.85645 | − | 1.27336i | −0.366169 | − | 0.0526471i | ||||
\(586\) | 26.1185 | + | 3.37908i | 1.07895 | + | 0.139589i | ||||
\(587\) | −16.6141 | + | 36.3797i | −0.685735 | + | 1.50155i | 0.170714 | + | 0.985321i | \(0.445393\pi\) |
−0.856450 | + | 0.516231i | \(0.827335\pi\) | |||||||
\(588\) | 2.86506 | + | 5.83136i | 0.118153 | + | 0.240481i | ||||
\(589\) | 2.69426 | − | 1.73150i | 0.111015 | − | 0.0713451i | ||||
\(590\) | 0.0271514 | + | 1.92011i | 0.00111780 | + | 0.0790498i | ||||
\(591\) | 4.67671 | − | 0.672409i | 0.192374 | − | 0.0276592i | ||||
\(592\) | 8.44801 | − | 3.00890i | 0.347211 | − | 0.123665i | ||||
\(593\) | 32.3801 | + | 20.8094i | 1.32969 | + | 0.854542i | 0.996105 | − | 0.0881773i | \(-0.0281042\pi\) |
0.333588 | + | 0.942719i | \(0.391741\pi\) | |||||||
\(594\) | −1.43515 | + | 3.26389i | −0.0588848 | + | 0.133919i | ||||
\(595\) | −6.85320 | − | 23.3399i | −0.280954 | − | 0.956841i | ||||
\(596\) | −22.3342 | − | 13.4765i | −0.914843 | − | 0.552021i | ||||
\(597\) | −6.10708 | −0.249946 | ||||||||
\(598\) | −10.1588 | + | 12.0839i | −0.415426 | + | 0.494149i | ||||
\(599\) | 17.9034i | 0.731514i | 0.930710 | + | 0.365757i | \(0.119190\pi\) | ||||
−0.930710 | + | 0.365757i | \(0.880810\pi\) | |||||||
\(600\) | 6.65844 | − | 26.8388i | 0.271830 | − | 1.09569i | ||||
\(601\) | −12.3820 | + | 3.63567i | −0.505071 | + | 0.148302i | −0.524335 | − | 0.851512i | \(-0.675686\pi\) |
0.0192638 | + | 0.999814i | \(0.493868\pi\) | |||||||
\(602\) | 7.48039 | − | 17.0123i | 0.304878 | − | 0.693370i | ||||
\(603\) | −7.99843 | + | 12.4458i | −0.325721 | + | 0.506832i | ||||
\(604\) | −5.48126 | + | 20.8291i | −0.223029 | + | 0.847524i | ||||
\(605\) | 2.54039 | + | 17.6688i | 0.103281 | + | 0.718338i | ||||
\(606\) | 11.9264 | − | 0.168646i | 0.484478 | − | 0.00685077i | ||||
\(607\) | 1.91522 | + | 2.98013i | 0.0777362 | + | 0.120960i | 0.877945 | − | 0.478762i | \(-0.158914\pi\) |
−0.800209 | + | 0.599722i | \(0.795278\pi\) | |||||||
\(608\) | −2.24437 | − | 0.489884i | −0.0910214 | − | 0.0198674i | ||||
\(609\) | −16.3684 | − | 7.47519i | −0.663280 | − | 0.302910i | ||||
\(610\) | 59.5088 | + | 7.69894i | 2.40944 | + | 0.311721i | ||||
\(611\) | 1.02085 | − | 7.10019i | 0.0412993 | − | 0.287243i | ||||
\(612\) | 6.01822 | + | 2.54531i | 0.243272 | + | 0.102888i | ||||
\(613\) | 17.3965 | + | 5.10807i | 0.702637 | + | 0.206313i | 0.613487 | − | 0.789705i | \(-0.289766\pi\) |
0.0891509 | + | 0.996018i | \(0.471585\pi\) | |||||||
\(614\) | −16.2780 | + | 7.71390i | −0.656926 | + | 0.311308i | ||||
\(615\) | 8.46614 | + | 9.77045i | 0.341388 | + | 0.393982i | ||||
\(616\) | −13.0752 | + | 4.44966i | −0.526816 | + | 0.179282i | ||||
\(617\) | −33.6954 | − | 29.1972i | −1.35653 | − | 1.17544i | −0.967105 | − | 0.254376i | \(-0.918130\pi\) |
−0.389420 | − | 0.921060i | \(-0.627325\pi\) | |||||||
\(618\) | −0.155286 | − | 0.234279i | −0.00624652 | − | 0.00942408i | ||||
\(619\) | −8.02748 | + | 3.66603i | −0.322652 | + | 0.147350i | −0.570155 | − | 0.821537i | \(-0.693117\pi\) |
0.247504 | + | 0.968887i | \(0.420390\pi\) | |||||||
\(620\) | −34.2094 | − | 50.0598i | −1.37388 | − | 2.01045i | ||||
\(621\) | −1.98879 | + | 4.36402i | −0.0798075 | + | 0.175122i | ||||
\(622\) | 33.4691 | − | 10.3436i | 1.34199 | − | 0.414742i | ||||
\(623\) | 29.4967 | − | 13.4707i | 1.18176 | − | 0.539691i | ||||
\(624\) | 9.27595 | + | 0.801960i | 0.371335 | + | 0.0321041i | ||||
\(625\) | −14.2097 | + | 16.3989i | −0.568387 | + | 0.655954i | ||||
\(626\) | −22.3136 | − | 6.21055i | −0.891830 | − | 0.248223i | ||||
\(627\) | −0.670469 | − | 0.773762i | −0.0267759 | − | 0.0309011i | ||||
\(628\) | −7.40486 | − | 8.07268i | −0.295486 | − | 0.322135i | ||||
\(629\) | 2.06366 | − | 7.02817i | 0.0822834 | − | 0.280231i | ||||
\(630\) | −8.05421 | − | 6.78202i | −0.320887 | − | 0.270202i | ||||
\(631\) | −0.408999 | + | 2.84465i | −0.0162820 | + | 0.113244i | −0.996342 | − | 0.0854599i | \(-0.972764\pi\) |
0.980060 | + | 0.198704i | \(0.0636731\pi\) | |||||||
\(632\) | 19.7560 | − | 10.0557i | 0.785850 | − | 0.399994i | ||||
\(633\) | 4.69188 | − | 10.2738i | 0.186486 | − | 0.408346i | ||||
\(634\) | 5.04880 | + | 31.9059i | 0.200513 | + | 1.26714i | ||||
\(635\) | −4.26562 | − | 6.63744i | −0.169276 | − | 0.263399i | ||||
\(636\) | −8.32680 | + | 2.70296i | −0.330179 | + | 0.107179i | ||||
\(637\) | 7.48458 | − | 1.07612i | 0.296550 | − | 0.0426374i | ||||
\(638\) | −17.5131 | + | 28.1172i | −0.693351 | + | 1.11317i | ||||
\(639\) | −4.46438 | + | 6.94671i | −0.176608 | + | 0.274807i | ||||
\(640\) | −8.06923 | + | 42.7351i | −0.318964 | + | 1.68925i | ||||
\(641\) | −8.49454 | − | 28.9297i | −0.335514 | − | 1.14266i | −0.938608 | − | 0.344986i | \(-0.887884\pi\) |
0.603094 | − | 0.797670i | \(-0.293935\pi\) | |||||||
\(642\) | −16.1041 | − | 18.0626i | −0.635577 | − | 0.712874i | ||||
\(643\) | − | 1.77844i | − | 0.0701347i | −0.999385 | − | 0.0350674i | \(-0.988835\pi\) | ||
0.999385 | − | 0.0350674i | \(-0.0111646\pi\) | |||||||
\(644\) | −17.6655 | + | 5.74989i | −0.696117 | + | 0.226577i | ||||
\(645\) | − | 26.0808i | − | 1.02693i | ||||||
\(646\) | −1.40054 | + | 1.24867i | −0.0551033 | + | 0.0491285i | ||||
\(647\) | 9.53578 | + | 32.4759i | 0.374890 | + | 1.27676i | 0.903754 | + | 0.428052i | \(0.140800\pi\) |
−0.528863 | + | 0.848707i | \(0.677382\pi\) | |||||||
\(648\) | 2.78005 | − | 0.520886i | 0.109211 | − | 0.0204624i | ||||
\(649\) | 0.481481 | − | 0.749200i | 0.0188998 | − | 0.0294087i | ||||
\(650\) | −27.3168 | − | 17.0146i | −1.07145 | − | 0.667366i | ||||
\(651\) | −15.1196 | + | 2.17387i | −0.592584 | + | 0.0852007i | ||||
\(652\) | −9.41590 | + | 3.05649i | −0.368755 | + | 0.119701i | ||||
\(653\) | −12.5819 | − | 19.5779i | −0.492369 | − | 0.766140i | 0.502791 | − | 0.864408i | \(-0.332306\pi\) |
−0.995160 | + | 0.0982673i | \(0.968670\pi\) | |||||||
\(654\) | 27.8593 | − | 4.40847i | 1.08938 | − | 0.172385i | ||||
\(655\) | 22.0802 | − | 48.3488i | 0.862743 | − | 1.88914i | ||||
\(656\) | −9.37027 | − | 9.65262i | −0.365848 | − | 0.376872i | ||||
\(657\) | −0.773387 | + | 5.37903i | −0.0301727 | + | 0.209856i | ||||
\(658\) | 5.43713 | − | 6.45704i | 0.211961 | − | 0.251722i | ||||
\(659\) | −8.05840 | + | 27.4444i | −0.313911 | + | 1.06908i | 0.639846 | + | 0.768503i | \(0.278998\pi\) |
−0.953757 | + | 0.300579i | \(0.902820\pi\) | |||||||
\(660\) | −14.2839 | + | 13.1023i | −0.556000 | + | 0.510005i | ||||
\(661\) | −10.6137 | − | 12.2488i | −0.412824 | − | 0.476425i | 0.510813 | − | 0.859692i | \(-0.329344\pi\) |
−0.923638 | + | 0.383267i | \(0.874799\pi\) | |||||||
\(662\) | 2.43643 | − | 8.75372i | 0.0946944 | − | 0.340223i | ||||
\(663\) | 4.98008 | − | 5.74732i | 0.193410 | − | 0.223207i | ||||
\(664\) | 1.54233 | − | 3.79545i | 0.0598542 | − | 0.147292i | ||||
\(665\) | 2.75028 | − | 1.25601i | 0.106651 | − | 0.0487060i | ||||
\(666\) | −0.936189 | − | 3.02925i | −0.0362766 | − | 0.117381i | ||||
\(667\) | −24.0590 | + | 37.5020i | −0.931569 | + | 1.45208i | ||||
\(668\) | 13.9116 | + | 20.3574i | 0.538257 | + | 0.787651i | ||||
\(669\) | −23.1723 | + | 10.5825i | −0.895894 | + | 0.409141i | ||||
\(670\) | −67.0373 | + | 44.4340i | −2.58988 | + | 1.71664i | ||||
\(671\) | −21.0312 | − | 18.2237i | −0.811901 | − | 0.703517i | ||||
\(672\) | 8.76653 | + | 6.57215i | 0.338176 | + | 0.253526i | ||||
\(673\) | −25.4068 | − | 29.3210i | −0.979359 | − | 1.13024i | −0.991473 | − | 0.130314i | \(-0.958401\pi\) |
0.0121135 | − | 0.999927i | \(-0.496144\pi\) | |||||||
\(674\) | −17.4007 | − | 36.7192i | −0.670249 | − | 1.41437i | ||||
\(675\) | −9.38057 | − | 2.75438i | −0.361058 | − | 0.106016i | ||||
\(676\) | −5.90689 | + | 13.9664i | −0.227188 | + | 0.537171i | ||||
\(677\) | −5.33722 | + | 37.1212i | −0.205126 | + | 1.42668i | 0.583652 | + | 0.812004i | \(0.301623\pi\) |
−0.788778 | + | 0.614679i | \(0.789286\pi\) | |||||||
\(678\) | 0.865791 | − | 6.69212i | 0.0332505 | − | 0.257009i | ||||
\(679\) | 13.5205 | + | 6.17461i | 0.518870 | + | 0.236960i | ||||
\(680\) | 24.3798 | + | 25.8355i | 0.934924 | + | 0.990748i | ||||
\(681\) | −8.77204 | − | 13.6496i | −0.336145 | − | 0.523052i | ||||
\(682\) | 0.397581 | + | 28.1165i | 0.0152242 | + | 1.07663i | ||||
\(683\) | 2.20122 | + | 15.3098i | 0.0842273 | + | 0.585814i | 0.987604 | + | 0.156966i | \(0.0501713\pi\) |
−0.903377 | + | 0.428848i | \(0.858920\pi\) | |||||||
\(684\) | −0.206694 | + | 0.785447i | −0.00790313 | + | 0.0300323i | ||||
\(685\) | −15.7888 | + | 24.5679i | −0.603260 | + | 0.938690i | ||||
\(686\) | 25.6977 | + | 11.2994i | 0.981143 | + | 0.431413i | ||||
\(687\) | 23.0328 | − | 6.76304i | 0.878756 | − | 0.258026i | ||||
\(688\) | 1.53411 | + | 27.0956i | 0.0584876 | + | 1.03301i | ||||
\(689\) | 10.1887i | 0.388158i | ||||||||
\(690\) | −19.4464 | + | 17.3655i | −0.740310 | + | 0.661095i | ||||
\(691\) | −46.1654 | −1.75621 | −0.878107 | − | 0.478465i | \(-0.841194\pi\) | ||||
−0.878107 | + | 0.478465i | \(0.841194\pi\) | |||||||
\(692\) | −13.1292 | + | 21.7586i | −0.499098 | + | 0.827136i | ||||
\(693\) | 1.37574 | + | 4.68535i | 0.0522601 | + | 0.177982i | ||||
\(694\) | 44.0615 | + | 19.3741i | 1.67255 | + | 0.735429i | ||||
\(695\) | 15.1859 | + | 9.75941i | 0.576035 | + | 0.370195i | ||||
\(696\) | 26.2541 | − | 1.11433i | 0.995158 | − | 0.0422387i | ||||
\(697\) | −10.8762 | + | 1.56377i | −0.411966 | + | 0.0592318i | ||||
\(698\) | −5.20905 | + | 0.0736586i | −0.197165 | + | 0.00278802i | ||||
\(699\) | 14.7090 | − | 9.45293i | 0.556347 | − | 0.357543i | ||||
\(700\) | −16.7002 | − | 33.9907i | −0.631210 | − | 1.28473i | ||||
\(701\) | −10.6271 | + | 23.2702i | −0.401381 | + | 0.878902i | 0.595747 | + | 0.803172i | \(0.296856\pi\) |
−0.997128 | + | 0.0757298i | \(0.975871\pi\) | |||||||
\(702\) | 0.422353 | − | 3.26457i | 0.0159407 | − | 0.123213i | ||||
\(703\) | 0.901181 | + | 0.129570i | 0.0339887 | + | 0.00488683i | ||||
\(704\) | 14.0690 | − | 14.4523i | 0.530245 | − | 0.544690i | ||||
\(705\) | 3.33751 | − | 11.3665i | 0.125698 | − | 0.428087i | ||||
\(706\) | 9.72671 | − | 4.60935i | 0.366070 | − | 0.173475i | ||||
\(707\) | 12.3457 | − | 10.6976i | 0.464306 | − | 0.402323i | ||||
\(708\) | −0.706194 | + | 0.0199759i | −0.0265404 | + | 0.000750740i | ||||
\(709\) | 19.5492 | − | 22.5609i | 0.734184 | − | 0.847293i | −0.258752 | − | 0.965944i | \(-0.583311\pi\) |
0.992936 | + | 0.118650i | \(0.0378567\pi\) | |||||||
\(710\) | −37.4173 | + | 24.8012i | −1.40425 | + | 0.930771i | ||||
\(711\) | −3.25583 | − | 7.12927i | −0.122103 | − | 0.267368i | ||||
\(712\) | −29.4646 | + | 37.0704i | −1.10423 | + | 1.38927i | ||||
\(713\) | 0.0300531 | + | 37.8225i | 0.00112550 | + | 1.41646i | ||||
\(714\) | 8.55019 | − | 2.64244i | 0.319983 | − | 0.0988907i | ||||
\(715\) | 9.37104 | + | 20.5197i | 0.350457 | + | 0.767394i | ||||
\(716\) | 21.1920 | − | 25.9019i | 0.791982 | − | 0.967998i | ||||
\(717\) | 7.11076 | + | 6.16150i | 0.265556 | + | 0.230106i | ||||
\(718\) | 13.0916 | − | 47.0360i | 0.488572 | − | 1.75537i | ||||
\(719\) | 2.33364 | − | 2.02211i | 0.0870299 | − | 0.0754119i | −0.610259 | − | 0.792202i | \(-0.708935\pi\) |
0.697289 | + | 0.716790i | \(0.254389\pi\) | |||||||
\(720\) | 14.9746 | + | 3.49105i | 0.558070 | + | 0.130104i | ||||
\(721\) | −0.369351 | − | 0.108451i | −0.0137553 | − | 0.00403893i | ||||
\(722\) | 20.3754 | + | 17.1570i | 0.758294 | + | 0.638519i | ||||
\(723\) | 21.8170 | + | 3.13682i | 0.811385 | + | 0.116660i | ||||
\(724\) | 7.47450 | + | 43.2633i | 0.277788 | + | 1.60787i | ||||
\(725\) | −82.6220 | − | 37.7322i | −3.06850 | − | 1.40134i | ||||
\(726\) | −6.48645 | + | 1.02642i | −0.240735 | + | 0.0380940i | ||||
\(727\) | 6.23359 | − | 4.00608i | 0.231191 | − | 0.148577i | −0.419917 | − | 0.907562i | \(-0.637941\pi\) |
0.651108 | + | 0.758985i | \(0.274304\pi\) | |||||||
\(728\) | 10.4252 | − | 7.34262i | 0.386382 | − | 0.272136i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | −15.6189 | + | 25.0762i | −0.578083 | + | 0.928111i | ||||
\(731\) | 18.6480 | + | 11.9843i | 0.689721 | + | 0.443257i | ||||
\(732\) | −2.52259 | + | 21.9311i | −0.0932378 | + | 0.810596i | ||||
\(733\) | −7.78302 | + | 2.28530i | −0.287472 | + | 0.0844095i | −0.422290 | − | 0.906461i | \(-0.638773\pi\) |
0.134817 | + | 0.990870i | \(0.456955\pi\) | |||||||
\(734\) | 33.1976 | − | 29.5979i | 1.22534 | − | 1.09248i | ||||
\(735\) | 12.4877 | 0.460615 | ||||||||
\(736\) | 19.1815 | − | 19.1851i | 0.707041 | − | 0.707172i | ||||
\(737\) | 37.2991 | 1.37393 | ||||||||
\(738\) | −3.55013 | + | 3.16519i | −0.130682 | + | 0.116512i | ||||
\(739\) | −9.74456 | + | 2.86126i | −0.358460 | + | 0.105253i | −0.456003 | − | 0.889978i | \(-0.650720\pi\) |
0.0975439 | + | 0.995231i | \(0.468901\pi\) | |||||||
\(740\) | 1.96960 | − | 17.1235i | 0.0724041 | − | 0.629471i | ||||
\(741\) | 0.795187 | + | 0.511035i | 0.0292119 | + | 0.0187734i | ||||
\(742\) | −6.33895 | + | 10.1772i | −0.232710 | + | 0.373615i | ||||
\(743\) | 2.60694 | + | 18.1316i | 0.0956392 | + | 0.665186i | 0.980090 | + | 0.198552i | \(0.0636240\pi\) |
−0.884451 | + | 0.466633i | \(0.845467\pi\) | |||||||
\(744\) | 18.2371 | − | 12.8447i | 0.668605 | − | 0.470910i | ||||
\(745\) | −42.1771 | + | 27.1056i | −1.54525 | + | 0.993071i | ||||
\(746\) | 11.7955 | − | 1.86653i | 0.431865 | − | 0.0683386i | ||||
\(747\) | −1.31756 | − | 0.601711i | −0.0482071 | − | 0.0220155i | ||||
\(748\) | −2.80466 | − | 16.2337i | −0.102549 | − | 0.593564i | ||||
\(749\) | −32.8049 | − | 4.71664i | −1.19867 | − | 0.172342i | ||||
\(750\) | −19.8630 | − | 16.7255i | −0.725292 | − | 0.610730i | ||||
\(751\) | −13.6001 | − | 3.99334i | −0.496274 | − | 0.145719i | 0.0240115 | − | 0.999712i | \(-0.492356\pi\) |
−0.520285 | + | 0.853993i | \(0.674174\pi\) | |||||||
\(752\) | −2.79877 | + | 12.0051i | −0.102061 | + | 0.437781i | ||||
\(753\) | 16.4416 | − | 14.2467i | 0.599166 | − | 0.519180i | ||||
\(754\) | 8.20033 | − | 29.4626i | 0.298638 | − | 1.07296i | ||||
\(755\) | 31.2856 | + | 27.1092i | 1.13860 | + | 0.986603i | ||||
\(756\) | 2.45295 | − | 2.99811i | 0.0892129 | − | 0.109040i | ||||
\(757\) | −10.0859 | − | 22.0850i | −0.366578 | − | 0.802694i | −0.999592 | − | 0.0285537i | \(-0.990910\pi\) |
0.633014 | − | 0.774140i | \(-0.281817\pi\) | |||||||
\(758\) | −42.0270 | + | 12.9885i | −1.52649 | + | 0.471762i | ||||
\(759\) | 11.9667 | − | 1.73026i | 0.434363 | − | 0.0628043i | ||||
\(760\) | −2.74729 | + | 3.45646i | −0.0996548 | + | 0.125379i | ||||
\(761\) | 8.04426 | + | 17.6145i | 0.291604 | + | 0.638524i | 0.997566 | − | 0.0697255i | \(-0.0222123\pi\) |
−0.705962 | + | 0.708250i | \(0.749485\pi\) | |||||||
\(762\) | 2.41947 | − | 1.60368i | 0.0876481 | − | 0.0580954i | ||||
\(763\) | 25.2971 | − | 29.1945i | 0.915818 | − | 1.05691i | ||||
\(764\) | −28.8878 | + | 0.817140i | −1.04512 | + | 0.0295631i | ||||
\(765\) | 9.49155 | − | 8.22447i | 0.343168 | − | 0.297356i | ||||
\(766\) | 4.80259 | − | 2.27588i | 0.173525 | − | 0.0822308i | ||||
\(767\) | −0.231644 | + | 0.788906i | −0.00836417 | + | 0.0284857i | ||||
\(768\) | −15.7626 | − | 2.74606i | −0.568783 | − | 0.0990899i | ||||
\(769\) | 5.99895 | + | 0.862519i | 0.216328 | + | 0.0311032i | 0.249626 | − | 0.968342i | \(-0.419692\pi\) |
−0.0332987 | + | 0.999445i | \(0.510601\pi\) | |||||||
\(770\) | −3.40602 | + | 26.3268i | −0.122744 | + | 0.948751i | ||||
\(771\) | −9.38207 | + | 20.5439i | −0.337887 | + | 0.739869i | ||||
\(772\) | 21.3551 | + | 43.4650i | 0.768588 | + | 1.56434i | ||||
\(773\) | −6.38512 | + | 4.10347i | −0.229657 | + | 0.147591i | −0.650409 | − | 0.759584i | \(-0.725403\pi\) |
0.420752 | + | 0.907176i | \(0.361766\pi\) | |||||||
\(774\) | 9.59411 | − | 0.135666i | 0.344853 | − | 0.00487640i | ||||
\(775\) | −76.3186 | + | 10.9730i | −2.74145 | + | 0.394160i | ||||
\(776\) | −21.6862 | + | 0.920454i | −0.778491 | + | 0.0330424i | ||||
\(777\) | −3.65302 | − | 2.34766i | −0.131051 | − | 0.0842217i | ||||
\(778\) | −26.4681 | − | 11.6381i | −0.948926 | − | 0.417247i | ||||
\(779\) | −0.384781 | − | 1.31044i | −0.0137862 | − | 0.0469515i | ||||
\(780\) | 9.24525 | − | 15.3218i | 0.331033 | − | 0.548609i | ||||
\(781\) | 20.8188 | 0.744954 | ||||||||
\(782\) | −3.48075 | − | 21.8840i | −0.124472 | − | 0.782568i | ||||
\(783\) | − | 9.29057i | − | 0.332018i | ||||||
\(784\) | −12.9736 | + | 0.734547i | −0.463342 | + | 0.0262338i | ||||
\(785\) | −20.2018 | + | 5.93178i | −0.721033 | + | 0.211714i | ||||
\(786\) | 17.9005 | + | 7.87095i | 0.638491 | + | 0.280747i | ||||
\(787\) | 6.89926 | − | 10.7355i | 0.245932 | − | 0.382677i | −0.696239 | − | 0.717810i | \(-0.745145\pi\) |
0.942171 | + | 0.335132i | \(0.108781\pi\) | |||||||
\(788\) | −2.40483 | + | 9.13848i | −0.0856684 | + | 0.325545i | ||||
\(789\) | 2.54736 | + | 17.7173i | 0.0906883 | + | 0.630751i | ||||
\(790\) | −0.602425 | − | 42.6028i | −0.0214333 | − | 1.51574i | ||||
\(791\) | −4.99642 | − | 7.77459i | −0.177652 | − | 0.276432i | ||||
\(792\) | −4.89412 | − | 5.18634i | −0.173905 | − | 0.184289i | ||||
\(793\) | 23.3703 | + | 10.6729i | 0.829905 | + | 0.379005i | ||||
\(794\) | 0.0509008 | − | 0.393437i | 0.00180640 | − | 0.0139626i | ||||
\(795\) | −2.39464 | + | 16.6551i | −0.0849290 | + | 0.590694i | ||||
\(796\) | 4.75777 | − | 11.2494i | 0.168635 | − | 0.398725i | ||||
\(797\) | 19.1676 | + | 5.62812i | 0.678951 | + | 0.199358i | 0.602985 | − | 0.797752i | \(-0.293978\pi\) |
0.0759661 | + | 0.997110i | \(0.475796\pi\) | |||||||
\(798\) | 0.476344 | + | 1.00519i | 0.0168624 | + | 0.0355833i | ||||
\(799\) | 6.59354 | + | 7.60935i | 0.233263 | + | 0.269200i | ||||
\(800\) | 44.2505 | + | 33.1740i | 1.56449 | + | 1.17288i | ||||
\(801\) | 12.6528 | + | 10.9637i | 0.447066 | + | 0.387385i | ||||
\(802\) | 20.1498 | − | 13.3558i | 0.711514 | − | 0.471609i | ||||
\(803\) | 12.4628 | − | 5.69157i | 0.439802 | − | 0.200851i | ||||
\(804\) | −16.6943 | − | 24.4293i | −0.588762 | − | 0.861556i | ||||
\(805\) | −5.05349 | + | 35.3472i | −0.178112 | + | 1.24582i | ||||
\(806\) | −7.66544 | − | 24.8032i | −0.270004 | − | 0.873656i | ||||
\(807\) | −19.3559 | + | 8.83952i | −0.681358 | + | 0.311166i | ||||
\(808\) | −8.98072 | + | 22.1002i | −0.315941 | + | 0.777483i | ||||
\(809\) | −0.582836 | + | 0.672629i | −0.0204914 | + | 0.0236484i | −0.765903 | − | 0.642956i | \(-0.777708\pi\) |
0.745411 | + | 0.666605i | \(0.232253\pi\) | |||||||
\(810\) | 1.45767 | − | 5.23721i | 0.0512175 | − | 0.184017i | ||||
\(811\) | −19.0968 | − | 22.0388i | −0.670578 | − | 0.773889i | 0.313888 | − | 0.949460i | \(-0.398368\pi\) |
−0.984467 | + | 0.175571i | \(0.943823\pi\) | |||||||
\(812\) | 26.5214 | − | 24.3274i | 0.930719 | − | 0.853725i | ||||
\(813\) | 4.57779 | − | 15.5905i | 0.160550 | − | 0.546783i | ||||
\(814\) | −5.14880 | + | 6.11462i | −0.180465 | + | 0.214317i | ||||
\(815\) | −2.70784 | + | 18.8334i | −0.0948515 | + | 0.659707i | ||||
\(816\) | −9.37708 | + | 9.10279i | −0.328264 | + | 0.318662i | ||||
\(817\) | −1.14457 | + | 2.50626i | −0.0400434 | + | 0.0876829i | ||||
\(818\) | −25.0951 | + | 3.97107i | −0.877431 | + | 0.138845i | ||||
\(819\) | −2.43737 | − | 3.79262i | −0.0851686 | − | 0.132525i | ||||
\(820\) | −24.5931 | + | 7.98313i | −0.858827 | + | 0.278783i | ||||
\(821\) | 15.2162 | − | 2.18776i | 0.531050 | − | 0.0763534i | 0.128426 | − | 0.991719i | \(-0.459007\pi\) |
0.402624 | + | 0.915366i | \(0.368098\pi\) | |||||||
\(822\) | −9.11971 | − | 5.68030i | −0.318086 | − | 0.198123i | ||||
\(823\) | −15.3069 | + | 23.8180i | −0.533564 | + | 0.830242i | −0.998480 | − | 0.0551125i | \(-0.982448\pi\) |
0.464916 | + | 0.885355i | \(0.346085\pi\) | |||||||
\(824\) | 0.552525 | − | 0.103524i | 0.0192481 | − | 0.00360644i | ||||
\(825\) | 6.94428 | + | 23.6501i | 0.241769 | + | 0.823389i | ||||
\(826\) | −0.722205 | + | 0.643896i | −0.0251287 | + | 0.0224040i | ||||
\(827\) | − | 24.2132i | − | 0.841977i | −0.907066 | − | 0.420988i | \(-0.861683\pi\) | ||
0.907066 | − | 0.420988i | \(-0.138317\pi\) | |||||||
\(828\) | −6.48927 | − | 7.06324i | −0.225518 | − | 0.245465i | ||||
\(829\) | − | 46.0509i | − | 1.59941i | −0.600392 | − | 0.799706i | \(-0.704989\pi\) | ||
0.600392 | − | 0.799706i | \(-0.295011\pi\) | |||||||
\(830\) | −5.24015 | − | 5.87744i | −0.181888 | − | 0.204009i | ||||
\(831\) | −3.17781 | − | 10.8226i | −0.110237 | − | 0.375433i | ||||
\(832\) | −8.70373 | + | 16.4618i | −0.301748 | + | 0.570710i | ||||
\(833\) | −5.73820 | + | 8.92882i | −0.198817 | + | 0.309365i | ||||
\(834\) | −3.51112 | + | 5.63709i | −0.121580 | + | 0.195196i | ||||
\(835\) | 46.9084 | − | 6.74441i | 1.62333 | − | 0.233400i | ||||
\(836\) | 1.94763 | − | 0.632217i | 0.0673600 | − | 0.0218657i | ||||
\(837\) | −4.26378 | − | 6.63458i | −0.147378 | − | 0.229324i | ||||
\(838\) | 2.44544 | + | 15.4539i | 0.0844763 | + | 0.533848i | ||||
\(839\) | 6.75001 | − | 14.7805i | 0.233036 | − | 0.510278i | −0.756599 | − | 0.653879i | \(-0.773141\pi\) |
0.989636 | + | 0.143600i | \(0.0458680\pi\) | |||||||
\(840\) | 18.7674 | − | 9.55250i | 0.647536 | − | 0.329592i | ||||
\(841\) | 8.15674 | − | 56.7314i | 0.281267 | − | 1.95625i | ||||
\(842\) | −11.4149 | − | 9.61187i | −0.393383 | − | 0.331247i | ||||
\(843\) | 2.49500 | − | 8.49718i | 0.0859323 | − | 0.292659i | ||||
\(844\) | 15.2694 | + | 16.6464i | 0.525593 | + | 0.572994i | ||||
\(845\) | 19.0865 | + | 22.0270i | 0.656595 | + | 0.757751i | ||||
\(846\) | 4.19866 | + | 1.16861i | 0.144353 | + | 0.0401778i | ||||
\(847\) | −5.88991 | + | 6.79732i | −0.202380 | + | 0.233559i | ||||
\(848\) | 1.50813 | − | 17.4440i | 0.0517895 | − | 0.599028i | ||||
\(849\) | 10.4808 | − | 4.78644i | 0.359702 | − | 0.164270i | ||||
\(850\) | 43.1585 | − | 13.3381i | 1.48032 | − | 0.457494i | ||||
\(851\) | −7.03465 | + | 8.13147i | −0.241145 | + | 0.278743i | ||||
\(852\) | −9.31803 | − | 13.6354i | −0.319230 | − | 0.467141i | ||||
\(853\) | 25.5561 | − | 11.6711i | 0.875024 | − | 0.399610i | 0.0733041 | − | 0.997310i | \(-0.476646\pi\) |
0.801720 | + | 0.597699i | \(0.203918\pi\) | |||||||
\(854\) | 16.7037 | + | 25.2008i | 0.571590 | + | 0.862355i | ||||
\(855\) | 1.17976 | + | 1.02226i | 0.0403468 | + | 0.0349607i | ||||
\(856\) | 45.8178 | − | 15.5924i | 1.56602 | − | 0.532936i | ||||
\(857\) | 27.4960 | + | 31.7320i | 0.939244 | + | 1.08395i | 0.996332 | + | 0.0855766i | \(0.0272732\pi\) |
−0.0570873 | + | 0.998369i | \(0.518181\pi\) | |||||||
\(858\) | −7.49967 | + | 3.55398i | −0.256034 | + | 0.121331i | ||||
\(859\) | 43.1375 | + | 12.6663i | 1.47183 | + | 0.432169i | 0.916694 | − | 0.399590i | \(-0.130847\pi\) |
0.555138 | + | 0.831758i | \(0.312666\pi\) | |||||||
\(860\) | 48.0415 | + | 20.3184i | 1.63820 | + | 0.692852i | ||||
\(861\) | −0.927036 | + | 6.44768i | −0.0315933 | + | 0.219736i | ||||
\(862\) | 1.69928 | + | 0.219844i | 0.0578777 | + | 0.00748791i | ||||
\(863\) | −7.77080 | − | 3.54881i | −0.264521 | − | 0.120803i | 0.278740 | − | 0.960367i | \(-0.410083\pi\) |
−0.543261 | + | 0.839564i | \(0.682811\pi\) | |||||||
\(864\) | −1.20633 | + | 5.52673i | −0.0410402 | + | 0.188023i | ||||
\(865\) | 26.4070 | + | 41.0901i | 0.897865 | + | 1.39710i | ||||
\(866\) | −29.9996 | + | 0.424209i | −1.01943 | + | 0.0144152i | ||||
\(867\) | −0.900225 | − | 6.26120i | −0.0305732 | − | 0.212642i | ||||
\(868\) | 7.77471 | − | 29.5443i | 0.263891 | − | 1.00280i | ||||
\(869\) | −10.6829 | + | 16.6230i | −0.362394 | + | 0.563896i | ||||
\(870\) | 20.3294 | − | 46.2341i | 0.689230 | − | 1.56748i | ||||
\(871\) | −33.0410 | + | 9.70171i | −1.11955 | + | 0.328730i | ||||
\(872\) | −13.5835 | + | 54.7520i | −0.459994 | + | 1.85414i | ||||
\(873\) | 7.67415i | 0.259731i | ||||||||
\(874\) | 2.63082 | − | 0.815345i | 0.0889886 | − | 0.0275794i | ||||
\(875\) | −35.5633 | −1.20226 | ||||||||
\(876\) | −9.30581 | − | 5.61517i | −0.314414 | − | 0.189719i | ||||
\(877\) | 8.53388 | + | 29.0637i | 0.288169 | + | 0.981412i | 0.968605 | + | 0.248605i | \(0.0799722\pi\) |
−0.680436 | + | 0.732807i | \(0.738210\pi\) | |||||||
\(878\) | −1.25722 | + | 2.85924i | −0.0424292 | + | 0.0964947i | ||||
\(879\) | 15.6663 | + | 10.0681i | 0.528410 | + | 0.339588i | ||||
\(880\) | −13.0068 | − | 36.5188i | −0.438458 | − | 1.23105i | ||||
\(881\) | 3.70363 | − | 0.532502i | 0.124779 | − | 0.0179405i | −0.0796425 | − | 0.996823i | \(-0.525378\pi\) |
0.204421 | + | 0.978883i | \(0.434469\pi\) | |||||||
\(882\) | 0.0649578 | + | 4.59374i | 0.00218724 | + | 0.154679i | ||||
\(883\) | 4.73665 | − | 3.04406i | 0.159401 | − | 0.102441i | −0.458508 | − | 0.888690i | \(-0.651616\pi\) |
0.617910 | + | 0.786249i | \(0.287980\pi\) | |||||||
\(884\) | 6.70696 | + | 13.6509i | 0.225579 | + | 0.459131i | ||||
\(885\) | −0.564075 | + | 1.23515i | −0.0189612 | + | 0.0415192i | ||||
\(886\) | −46.4380 | − | 6.00790i | −1.56011 | − | 0.201839i | ||||
\(887\) | −28.5847 | − | 4.10987i | −0.959782 | − | 0.137996i | −0.355421 | − | 0.934706i | \(-0.615662\pi\) |
−0.604361 | + | 0.796711i | \(0.706571\pi\) | |||||||
\(888\) | 6.30931 | + | 0.635470i | 0.211726 | + | 0.0213250i | ||||
\(889\) | 1.12001 | − | 3.81439i | 0.0375638 | − | 0.127931i | ||||
\(890\) | 38.9757 | + | 82.2471i | 1.30647 | + | 2.75693i | ||||
\(891\) | −1.90538 | + | 1.65102i | −0.0638325 | + | 0.0553112i | ||||
\(892\) | −1.44060 | − | 50.9285i | −0.0482347 | − | 1.70521i | ||||
\(893\) | −0.819546 | + | 0.945807i | −0.0274251 | + | 0.0316502i | ||||
\(894\) | −10.1905 | − | 15.3743i | −0.340821 | − | 0.514194i | ||||
\(895\) | −26.7208 | − | 58.5104i | −0.893178 | − | 1.95579i | ||||
\(896\) | −18.9357 | + | 11.0281i | −0.632598 | + | 0.368423i | ||||
\(897\) | −10.1505 | + | 4.64533i | −0.338915 | + | 0.155103i | ||||
\(898\) | −7.24325 | − | 23.4371i | −0.241710 | − | 0.782107i | ||||
\(899\) | −30.4376 | − | 66.6491i | −1.01515 | − | 2.22287i | ||||
\(900\) | 12.3817 | − | 15.1335i | 0.412722 | − | 0.504449i | ||||
\(901\) | −10.8082 | − | 9.36533i | −0.360072 | − | 0.312004i | ||||
\(902\) | 11.5522 | + | 3.21533i | 0.384647 | + | 0.107059i | ||||
\(903\) | 9.93135 | − | 8.60557i | 0.330495 | − | 0.286375i | ||||
\(904\) | 11.6526 | + | 6.80836i | 0.387559 | + | 0.226443i | ||||
\(905\) | 80.9666 | + | 23.7739i | 2.69142 | + | 0.790272i | ||||
\(906\) | −9.80968 | + | 11.6498i | −0.325905 | + | 0.387039i | ||||
\(907\) | −4.51223 | − | 0.648761i | −0.149826 | − | 0.0215418i | 0.0669935 | − | 0.997753i | \(-0.478659\pi\) |
−0.216820 | + | 0.976212i | \(0.569568\pi\) | |||||||
\(908\) | 31.9768 | − | 5.52456i | 1.06119 | − | 0.183339i | ||||
\(909\) | 7.67193 | + | 3.50365i | 0.254462 | + | 0.116209i | ||||
\(910\) | −3.83056 | − | 24.2072i | −0.126982 | − | 0.802461i | ||||
\(911\) | 1.06497 | − | 0.684415i | 0.0352840 | − | 0.0226757i | −0.522880 | − | 0.852406i | \(-0.675142\pi\) |
0.558164 | + | 0.829731i | \(0.311506\pi\) | |||||||
\(912\) | −1.28579 | − | 0.992644i | −0.0425768 | − | 0.0328697i | ||||
\(913\) | 0.519707 | + | 3.61464i | 0.0171998 | + | 0.119627i | ||||
\(914\) | 28.9784 | + | 18.0495i | 0.958521 | + | 0.597025i | ||||
\(915\) | 35.6942 | + | 22.9393i | 1.18001 | + | 0.758349i | ||||
\(916\) | −5.48616 | + | 47.6958i | −0.181268 | + | 1.57592i | ||||
\(917\) | 25.6964 | − | 7.54514i | 0.848569 | − | 0.249162i | ||||
\(918\) | 3.07484 | + | 3.44879i | 0.101485 | + | 0.113827i | ||||
\(919\) | 19.1301 | 0.631044 | 0.315522 | − | 0.948918i | \(-0.397820\pi\) | ||||
0.315522 | + | 0.948918i | \(0.397820\pi\) | |||||||
\(920\) | −16.8380 | − | 49.3495i | −0.555132 | − | 1.62701i | ||||
\(921\) | −12.7373 | −0.419708 | ||||||||
\(922\) | −25.4109 | − | 28.5013i | −0.836863 | − | 0.938640i | ||||
\(923\) | −18.4421 | + | 5.41508i | −0.607028 | + | 0.178239i | ||||
\(924\) | −9.70233 | − | 1.11600i | −0.319183 | − | 0.0367137i | ||||
\(925\) | −18.4392 | − | 11.8502i | −0.606278 | − | 0.389631i | ||||
\(926\) | 17.7238 | + | 11.0394i | 0.582440 | + | 0.362779i | ||||
\(927\) | −0.0282846 | − | 0.196724i | −0.000928988 | − | 0.00646125i | ||||
\(928\) | −18.4008 | + | 49.2289i | −0.604036 | + | 1.61602i | ||||
\(929\) | −5.69647 | + | 3.66090i | −0.186895 | + | 0.120110i | −0.630743 | − | 0.775992i | \(-0.717250\pi\) |
0.443847 | + | 0.896102i | \(0.353613\pi\) | |||||||
\(930\) | −6.70094 | − | 42.3465i | −0.219732 | − | 1.38860i | ||||
\(931\) | −1.20002 | − | 0.548029i | −0.0393290 | − | 0.0179609i | ||||
\(932\) | 5.95337 | + | 34.4589i | 0.195009 | + | 1.12874i | ||||
\(933\) | 24.5186 | + | 3.52524i | 0.802702 | + | 0.115411i | ||||
\(934\) | −20.2993 | + | 24.1071i | −0.664214 | + | 0.788808i | ||||
\(935\) | −30.3811 | − | 8.92070i | −0.993569 | − | 0.291738i | ||||
\(936\) | 5.68439 | + | 3.32127i | 0.185800 | + | 0.108559i | ||||
\(937\) | 28.1904 | − | 24.4271i | 0.920939 | − | 0.797998i | −0.0588014 | − | 0.998270i | \(-0.518728\pi\) |
0.979740 | + | 0.200271i | \(0.0641824\pi\) | |||||||
\(938\) | −39.0396 | − | 10.8659i | −1.27469 | − | 0.354785i | ||||
\(939\) | −12.3775 | − | 10.7252i | −0.403926 | − | 0.350004i | ||||
\(940\) | 18.3373 | + | 15.0029i | 0.598097 | + | 0.489342i | ||||
\(941\) | 8.47818 | + | 18.5646i | 0.276381 | + | 0.605189i | 0.996017 | − | 0.0891618i | \(-0.0284188\pi\) |
−0.719637 | + | 0.694351i | \(0.755692\pi\) | |||||||
\(942\) | −2.28716 | − | 7.40061i | −0.0745197 | − | 0.241125i | ||||
\(943\) | 15.4795 | + | 4.53183i | 0.504081 | + | 0.147577i | ||||
\(944\) | 0.513370 | − | 1.31639i | 0.0167088 | − | 0.0428449i | ||||
\(945\) | −3.09290 | − | 6.77252i | −0.100612 | − | 0.220310i | ||||
\(946\) | −13.3650 | − | 20.1637i | −0.434533 | − | 0.655578i | ||||
\(947\) | −22.3022 | + | 25.7381i | −0.724723 | + | 0.836375i | −0.991867 | − | 0.127282i | \(-0.959375\pi\) |
0.267144 | + | 0.963657i | \(0.413920\pi\) | |||||||
\(948\) | 15.6688 | − | 0.443218i | 0.508899 | − | 0.0143950i | ||||
\(949\) | −9.55961 | + | 8.28345i | −0.310318 | + | 0.268892i | ||||
\(950\) | 2.40443 | + | 5.07385i | 0.0780099 | + | 0.164618i | ||||
\(951\) | −6.43521 | + | 21.9163i | −0.208676 | + | 0.710685i | ||||
\(952\) | −1.79364 | + | 17.8083i | −0.0581323 | + | 0.577170i | ||||
\(953\) | 41.8645 | + | 6.01921i | 1.35612 | + | 0.194981i | 0.781740 | − | 0.623605i | \(-0.214332\pi\) |
0.574384 | + | 0.818586i | \(0.305242\pi\) | |||||||
\(954\) | −6.13921 | − | 0.794259i | −0.198764 | − | 0.0257151i | ||||
\(955\) | −23.0742 | + | 50.5255i | −0.746665 | + | 1.63497i | ||||
\(956\) | −16.8894 | + | 8.29805i | −0.546241 | + | 0.268378i | ||||
\(957\) | −19.7048 | + | 12.6635i | −0.636966 | + | 0.409353i | ||||
\(958\) | −0.159204 | − | 11.2587i | −0.00514364 | − | 0.363752i | ||||
\(959\) | −14.5649 | + | 2.09412i | −0.470325 | + | 0.0676226i | ||||
\(960\) | −18.0967 | + | 24.8639i | −0.584068 | + | 0.802478i | ||||
\(961\) | −26.2449 | − | 16.8666i | −0.846611 | − | 0.544084i | ||||
\(962\) | 2.97056 | − | 6.75580i | 0.0957746 | − | 0.217816i | ||||
\(963\) | −4.82083 | − | 16.4183i | −0.155349 | − | 0.529071i | ||||
\(964\) | −22.7748 | + | 37.7439i | −0.733528 | + | 1.21565i | ||||
\(965\) | 93.0789 | 2.99632 | ||||||||
\(966\) | −13.0292 | − | 1.67512i | −0.419206 | − | 0.0538961i | ||||
\(967\) | 21.8208i | 0.701709i | 0.936430 | + | 0.350854i | \(0.114109\pi\) | ||||
−0.936430 | + | 0.350854i | \(0.885891\pi\) | |||||||
\(968\) | 3.16262 | − | 12.7479i | 0.101651 | − | 0.409732i | ||||
\(969\) | −1.27304 | + | 0.373797i | −0.0408958 | + | 0.0120081i | ||||
\(970\) | −16.7923 | + | 38.1900i | −0.539170 | + | 1.22621i | ||||
\(971\) | −20.3659 | + | 31.6899i | −0.653573 | + | 1.01698i | 0.343397 | + | 0.939190i | \(0.388422\pi\) |
−0.996970 | + | 0.0777886i | \(0.975214\pi\) | |||||||
\(972\) | 1.93415 | + | 0.508980i | 0.0620379 | + | 0.0163255i | ||||
\(973\) | 1.29442 | + | 9.00288i | 0.0414972 | + | 0.288619i | ||||
\(974\) | −21.8958 | + | 0.309618i | −0.701587 | + | 0.00992080i | ||||
\(975\) | −12.3030 | − | 19.1439i | −0.394012 | − | 0.613095i | ||||
\(976\) | −38.4324 | − | 21.7323i | −1.23019 | − | 0.695632i | ||||
\(977\) | −15.5321 | − | 7.09327i | −0.496916 | − | 0.226934i | 0.151161 | − | 0.988509i | \(-0.451699\pi\) |
−0.648076 | + | 0.761575i | \(0.724426\pi\) | |||||||
\(978\) | −6.94219 | − | 0.898144i | −0.221987 | − | 0.0287195i | ||||
\(979\) | 6.00707 | − | 41.7801i | 0.191987 | − | 1.33530i | ||||
\(980\) | −9.72863 | + | 23.0027i | −0.310770 | + | 0.734794i | ||||
\(981\) | 19.1367 | + | 5.61904i | 0.610988 | + | 0.179402i | ||||
\(982\) | −48.5614 | + | 23.0125i | −1.54966 | + | 0.734360i | ||||
\(983\) | −32.8074 | − | 37.8617i | −1.04639 | − | 1.20760i | −0.977709 | − | 0.209963i | \(-0.932666\pi\) |
−0.0686833 | − | 0.997639i | \(-0.521880\pi\) | |||||||
\(984\) | −3.06462 | − | 9.00531i | −0.0976964 | − | 0.287079i | ||||
\(985\) | 13.7261 | + | 11.8938i | 0.437351 | + | 0.378967i | ||||
\(986\) | 23.7163 | + | 35.7807i | 0.755281 | + | 1.13949i | ||||
\(987\) | 5.42951 | − | 2.47958i | 0.172823 | − | 0.0789258i | ||||
\(988\) | −1.56084 | + | 1.06663i | −0.0496569 | + | 0.0339340i | ||||
\(989\) | −17.6134 | − | 27.3591i | −0.560073 | − | 0.869969i | ||||
\(990\) | −13.0947 | + | 4.04693i | −0.416178 | + | 0.128620i | ||||
\(991\) | −15.4872 | + | 7.07277i | −0.491967 | + | 0.224674i | −0.645921 | − | 0.763404i | \(-0.723527\pi\) |
0.153954 | + | 0.988078i | \(0.450799\pi\) | |||||||
\(992\) | 9.45257 | + | 43.6001i | 0.300119 | + | 1.38430i | ||||
\(993\) | 4.20755 | − | 4.85577i | 0.133522 | − | 0.154093i | ||||
\(994\) | −21.7902 | − | 6.06489i | −0.691145 | − | 0.192367i | ||||
\(995\) | −15.3734 | − | 17.7418i | −0.487369 | − | 0.562454i | ||||
\(996\) | 2.13483 | − | 1.95822i | 0.0676446 | − | 0.0620487i | ||||
\(997\) | −2.95592 | + | 10.0669i | −0.0936150 | + | 0.318823i | −0.992965 | − | 0.118405i | \(-0.962222\pi\) |
0.899350 | + | 0.437229i | \(0.144040\pi\) | |||||||
\(998\) | 35.9967 | + | 30.3109i | 1.13946 | + | 0.959476i | ||||
\(999\) | 0.319065 | − | 2.21914i | 0.0100948 | − | 0.0702106i |
(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 | 552.2.t.b.19.6 | ✓ | 240 | |
8.3 | odd | 2 | inner | 552.2.t.b.19.24 | yes | 240 | |
23.17 | odd | 22 | inner | 552.2.t.b.523.24 | yes | 240 | |
184.155 | even | 22 | inner | 552.2.t.b.523.6 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.t.b.19.6 | ✓ | 240 | 1.1 | even | 1 | trivial | |
552.2.t.b.19.24 | yes | 240 | 8.3 | odd | 2 | inner | |
552.2.t.b.523.6 | yes | 240 | 184.155 | even | 22 | inner | |
552.2.t.b.523.24 | yes | 240 | 23.17 | odd | 22 | inner |