Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(277,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.277");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bj (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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 277.4 | ||
Character | \(\chi\) | \(=\) | 930.277 |
Dual form | 930.2.bj.a.883.4 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.156434 | − | 0.987688i | −0.110616 | − | 0.698401i | ||||
\(3\) | 0.987688 | + | 0.156434i | 0.570242 | + | 0.0903175i | ||||
\(4\) | −0.951057 | + | 0.309017i | −0.475528 | + | 0.154508i | ||||
\(5\) | −0.426558 | + | 2.19501i | −0.190763 | + | 0.981636i | ||||
\(6\) | − | 1.00000i | − | 0.408248i | ||||||
\(7\) | −0.653972 | + | 1.28349i | −0.247178 | + | 0.485114i | −0.980945 | − | 0.194287i | \(-0.937761\pi\) |
0.733767 | + | 0.679402i | \(0.237761\pi\) | |||||||
\(8\) | 0.453990 | + | 0.891007i | 0.160510 | + | 0.315018i | ||||
\(9\) | 0.951057 | + | 0.309017i | 0.317019 | + | 0.103006i | ||||
\(10\) | 2.23471 | + | 0.0779318i | 0.706677 | + | 0.0246442i | ||||
\(11\) | −2.27101 | + | 0.737896i | −0.684736 | + | 0.222484i | −0.630668 | − | 0.776053i | \(-0.717219\pi\) |
−0.0540682 | + | 0.998537i | \(0.517219\pi\) | |||||||
\(12\) | −0.987688 | + | 0.156434i | −0.285121 | + | 0.0451587i | ||||
\(13\) | −3.29841 | − | 0.522417i | −0.914815 | − | 0.144892i | −0.318759 | − | 0.947836i | \(-0.603266\pi\) |
−0.596055 | + | 0.802943i | \(0.703266\pi\) | |||||||
\(14\) | 1.36999 | + | 0.445138i | 0.366146 | + | 0.118968i | ||||
\(15\) | −0.764681 | + | 2.10125i | −0.197440 | + | 0.542541i | ||||
\(16\) | 0.809017 | − | 0.587785i | 0.202254 | − | 0.146946i | ||||
\(17\) | −1.80712 | − | 3.54667i | −0.438291 | − | 0.860194i | −0.999472 | − | 0.0325008i | \(-0.989653\pi\) |
0.561181 | − | 0.827693i | \(-0.310347\pi\) | |||||||
\(18\) | 0.156434 | − | 0.987688i | 0.0368720 | − | 0.232800i | ||||
\(19\) | −3.61170 | + | 4.97108i | −0.828580 | + | 1.14044i | 0.159605 | + | 0.987181i | \(0.448978\pi\) |
−0.988186 | + | 0.153262i | \(0.951022\pi\) | |||||||
\(20\) | −0.272613 | − | 2.21939i | −0.0609582 | − | 0.496270i | ||||
\(21\) | −0.846703 | + | 1.16539i | −0.184766 | + | 0.254308i | ||||
\(22\) | 1.08408 | + | 2.12762i | 0.231126 | + | 0.453610i | ||||
\(23\) | 0.0678646 | − | 0.0345787i | 0.0141507 | − | 0.00721016i | −0.446901 | − | 0.894584i | \(-0.647472\pi\) |
0.461052 | + | 0.887373i | \(0.347472\pi\) | |||||||
\(24\) | 0.309017 | + | 0.951057i | 0.0630778 | + | 0.194134i | ||||
\(25\) | −4.63610 | − | 1.87259i | −0.927219 | − | 0.374519i | ||||
\(26\) | 3.33953i | 0.654935i | ||||||||
\(27\) | 0.891007 | + | 0.453990i | 0.171474 | + | 0.0873705i | ||||
\(28\) | 0.225343 | − | 1.42276i | 0.0425859 | − | 0.268877i | ||||
\(29\) | 0.331128 | + | 0.240579i | 0.0614889 | + | 0.0446743i | 0.618105 | − | 0.786095i | \(-0.287901\pi\) |
−0.556616 | + | 0.830770i | \(0.687901\pi\) | |||||||
\(30\) | 2.19501 | + | 0.426558i | 0.400751 | + | 0.0778785i | ||||
\(31\) | −2.71618 | − | 4.86028i | −0.487841 | − | 0.872933i | ||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | −2.35848 | + | 0.373547i | −0.410559 | + | 0.0650262i | ||||
\(34\) | −3.22031 | + | 2.33969i | −0.552278 | + | 0.401254i | ||||
\(35\) | −2.53832 | − | 1.98296i | −0.429054 | − | 0.335181i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | −1.64610 | + | 1.64610i | −0.270616 | + | 0.270616i | −0.829348 | − | 0.558732i | \(-0.811288\pi\) |
0.558732 | + | 0.829348i | \(0.311288\pi\) | |||||||
\(38\) | 5.47487 | + | 2.78958i | 0.888141 | + | 0.452530i | ||||
\(39\) | −3.17608 | − | 1.03197i | −0.508580 | − | 0.165248i | ||||
\(40\) | −2.14942 | + | 0.616446i | −0.339853 | + | 0.0974686i | ||||
\(41\) | −5.20119 | − | 3.77888i | −0.812289 | − | 0.590162i | 0.102205 | − | 0.994763i | \(-0.467410\pi\) |
−0.914493 | + | 0.404601i | \(0.867410\pi\) | |||||||
\(42\) | 1.28349 | + | 0.653972i | 0.198047 | + | 0.100910i | ||||
\(43\) | 1.14946 | + | 7.25739i | 0.175291 | + | 1.10674i | 0.905758 | + | 0.423795i | \(0.139302\pi\) |
−0.730468 | + | 0.682947i | \(0.760698\pi\) | |||||||
\(44\) | 1.93184 | − | 1.40356i | 0.291236 | − | 0.211595i | ||||
\(45\) | −1.08397 | + | 1.95576i | −0.161589 | + | 0.291548i | ||||
\(46\) | −0.0447694 | − | 0.0616198i | −0.00660088 | − | 0.00908534i | ||||
\(47\) | −4.11102 | − | 0.651122i | −0.599654 | − | 0.0949758i | −0.150774 | − | 0.988568i | \(-0.548177\pi\) |
−0.448879 | + | 0.893592i | \(0.648177\pi\) | |||||||
\(48\) | 0.891007 | − | 0.453990i | 0.128606 | − | 0.0655279i | ||||
\(49\) | 2.89482 | + | 3.98438i | 0.413546 | + | 0.569198i | ||||
\(50\) | −1.12429 | + | 4.87196i | −0.158999 | + | 0.688999i | ||||
\(51\) | −1.23005 | − | 3.78570i | −0.172241 | − | 0.530104i | ||||
\(52\) | 3.29841 | − | 0.522417i | 0.457407 | − | 0.0724462i | ||||
\(53\) | −4.55353 | + | 2.32014i | −0.625476 | + | 0.318696i | −0.737845 | − | 0.674971i | \(-0.764156\pi\) |
0.112369 | + | 0.993667i | \(0.464156\pi\) | |||||||
\(54\) | 0.309017 | − | 0.951057i | 0.0420519 | − | 0.129422i | ||||
\(55\) | −0.650968 | − | 5.29964i | −0.0877766 | − | 0.714603i | ||||
\(56\) | −1.44050 | −0.192494 | ||||||||
\(57\) | −4.34488 | + | 4.34488i | −0.575493 | + | 0.575493i | ||||
\(58\) | 0.185817 | − | 0.364686i | 0.0243990 | − | 0.0478856i | ||||
\(59\) | 6.79733 | + | 9.35573i | 0.884937 | + | 1.21801i | 0.975029 | + | 0.222078i | \(0.0712840\pi\) |
−0.0900916 | + | 0.995933i | \(0.528716\pi\) | |||||||
\(60\) | 0.0779318 | − | 2.23471i | 0.0100610 | − | 0.288500i | ||||
\(61\) | 5.48472i | 0.702246i | 0.936329 | + | 0.351123i | \(0.114200\pi\) | ||||
−0.936329 | + | 0.351123i | \(0.885800\pi\) | |||||||
\(62\) | −4.37554 | + | 3.44306i | −0.555694 | + | 0.437269i | ||||
\(63\) | −1.01859 | + | 1.01859i | −0.128330 | + | 0.128330i | ||||
\(64\) | −0.587785 | + | 0.809017i | −0.0734732 | + | 0.101127i | ||||
\(65\) | 2.55367 | − | 7.01719i | 0.316744 | − | 0.870375i | ||||
\(66\) | 0.737896 | + | 2.27101i | 0.0908288 | + | 0.279542i | ||||
\(67\) | 7.97535 | + | 7.97535i | 0.974344 | + | 0.974344i | 0.999679 | − | 0.0253352i | \(-0.00806530\pi\) |
−0.0253352 | + | 0.999679i | \(0.508065\pi\) | |||||||
\(68\) | 2.81465 | + | 2.81465i | 0.341327 | + | 0.341327i | ||||
\(69\) | 0.0724384 | − | 0.0235367i | 0.00872055 | − | 0.00283348i | ||||
\(70\) | −1.56146 | + | 2.81727i | −0.186630 | + | 0.336728i | ||||
\(71\) | 4.04523 | − | 12.4499i | 0.480081 | − | 1.47754i | −0.358900 | − | 0.933376i | \(-0.616848\pi\) |
0.838981 | − | 0.544161i | \(-0.183152\pi\) | |||||||
\(72\) | 0.156434 | + | 0.987688i | 0.0184360 | + | 0.116400i | ||||
\(73\) | 0.606106 | − | 1.18955i | 0.0709393 | − | 0.139226i | −0.852813 | − | 0.522216i | \(-0.825106\pi\) |
0.923753 | + | 0.382990i | \(0.125106\pi\) | |||||||
\(74\) | 1.88334 | + | 1.36832i | 0.218933 | + | 0.159064i | ||||
\(75\) | −4.28608 | − | 2.57478i | −0.494914 | − | 0.297311i | ||||
\(76\) | 1.89878 | − | 5.84385i | 0.217805 | − | 0.670336i | ||||
\(77\) | 0.538094 | − | 3.39739i | 0.0613215 | − | 0.387168i | ||||
\(78\) | −0.522417 | + | 3.29841i | −0.0591521 | + | 0.373472i | ||||
\(79\) | −3.91406 | + | 12.0463i | −0.440367 | + | 1.35531i | 0.447119 | + | 0.894474i | \(0.352450\pi\) |
−0.887486 | + | 0.460835i | \(0.847550\pi\) | |||||||
\(80\) | 0.945099 | + | 2.02652i | 0.105665 | + | 0.226572i | ||||
\(81\) | 0.809017 | + | 0.587785i | 0.0898908 | + | 0.0653095i | ||||
\(82\) | −2.91871 | + | 5.72830i | −0.322318 | + | 0.632585i | ||||
\(83\) | −2.53993 | − | 16.0365i | −0.278794 | − | 1.76024i | −0.587639 | − | 0.809123i | \(-0.699943\pi\) |
0.308845 | − | 0.951112i | \(-0.400057\pi\) | |||||||
\(84\) | 0.445138 | − | 1.36999i | 0.0485685 | − | 0.149479i | ||||
\(85\) | 8.55580 | − | 2.45377i | 0.928007 | − | 0.266149i | ||||
\(86\) | 6.98823 | − | 2.27061i | 0.753560 | − | 0.244846i | ||||
\(87\) | 0.289417 | + | 0.289417i | 0.0310287 | + | 0.0310287i | ||||
\(88\) | −1.68849 | − | 1.68849i | −0.179993 | − | 0.179993i | ||||
\(89\) | 2.46085 | + | 7.57373i | 0.260850 | + | 0.802814i | 0.992620 | + | 0.121263i | \(0.0386943\pi\) |
−0.731770 | + | 0.681551i | \(0.761306\pi\) | |||||||
\(90\) | 2.10125 | + | 0.764681i | 0.221491 | + | 0.0806044i | ||||
\(91\) | 2.82759 | − | 3.89184i | 0.296412 | − | 0.407976i | ||||
\(92\) | −0.0538576 | + | 0.0538576i | −0.00561505 | + | 0.00561505i | ||||
\(93\) | −1.92243 | − | 5.22535i | −0.199346 | − | 0.541844i | ||||
\(94\) | 4.16226i | 0.429305i | ||||||||
\(95\) | −9.37094 | − | 10.0481i | −0.961438 | − | 1.03092i | ||||
\(96\) | −0.587785 | − | 0.809017i | −0.0599906 | − | 0.0825700i | ||||
\(97\) | −4.28558 | + | 8.41093i | −0.435135 | + | 0.854000i | 0.564458 | + | 0.825462i | \(0.309085\pi\) |
−0.999593 | + | 0.0285383i | \(0.990915\pi\) | |||||||
\(98\) | 3.48248 | − | 3.48248i | 0.351783 | − | 0.351783i | ||||
\(99\) | −2.38788 | −0.239991 | ||||||||
\(100\) | 4.98785 | + | 0.348310i | 0.498785 | + | 0.0348310i | ||||
\(101\) | −2.69032 | + | 8.27996i | −0.267697 | + | 0.823887i | 0.723363 | + | 0.690468i | \(0.242595\pi\) |
−0.991060 | + | 0.133419i | \(0.957405\pi\) | |||||||
\(102\) | −3.54667 | + | 1.80712i | −0.351173 | + | 0.178931i | ||||
\(103\) | 12.9255 | − | 2.04720i | 1.27359 | − | 0.201717i | 0.517216 | − | 0.855855i | \(-0.326968\pi\) |
0.756375 | + | 0.654138i | \(0.226968\pi\) | |||||||
\(104\) | −1.03197 | − | 3.17608i | −0.101193 | − | 0.311440i | ||||
\(105\) | −2.19686 | − | 2.35562i | −0.214392 | − | 0.229885i | ||||
\(106\) | 3.00391 | + | 4.13452i | 0.291765 | + | 0.401580i | ||||
\(107\) | 16.3061 | − | 8.30839i | 1.57637 | − | 0.803202i | 0.576469 | − | 0.817119i | \(-0.304430\pi\) |
0.999903 | + | 0.0139169i | \(0.00443003\pi\) | |||||||
\(108\) | −0.987688 | − | 0.156434i | −0.0950404 | − | 0.0150529i | ||||
\(109\) | 5.39553 | + | 7.42631i | 0.516798 | + | 0.711312i | 0.985047 | − | 0.172285i | \(-0.0551150\pi\) |
−0.468249 | + | 0.883597i | \(0.655115\pi\) | |||||||
\(110\) | −5.13256 | + | 1.47200i | −0.489370 | + | 0.140350i | ||||
\(111\) | −1.88334 | + | 1.36832i | −0.178758 | + | 0.129876i | ||||
\(112\) | 0.225343 | + | 1.42276i | 0.0212929 | + | 0.134438i | ||||
\(113\) | 3.08790 | + | 1.57336i | 0.290485 | + | 0.148010i | 0.593161 | − | 0.805084i | \(-0.297880\pi\) |
−0.302675 | + | 0.953094i | \(0.597880\pi\) | |||||||
\(114\) | 4.97108 | + | 3.61170i | 0.465584 | + | 0.338266i | ||||
\(115\) | 0.0469523 | + | 0.163713i | 0.00437833 | + | 0.0152663i | ||||
\(116\) | −0.389264 | − | 0.126480i | −0.0361423 | − | 0.0117433i | ||||
\(117\) | −2.97554 | − | 1.51611i | −0.275089 | − | 0.140165i | ||||
\(118\) | 8.17720 | − | 8.17720i | 0.752773 | − | 0.752773i | ||||
\(119\) | 5.73393 | 0.525628 | ||||||||
\(120\) | −2.21939 | + | 0.272613i | −0.202601 | + | 0.0248861i | ||||
\(121\) | −4.28618 | + | 3.11410i | −0.389653 | + | 0.283100i | ||||
\(122\) | 5.41719 | − | 0.857999i | 0.490449 | − | 0.0776795i | ||||
\(123\) | −4.54600 | − | 4.54600i | −0.409899 | − | 0.409899i | ||||
\(124\) | 4.08515 | + | 3.78306i | 0.366858 | + | 0.339729i | ||||
\(125\) | 6.08792 | − | 9.37749i | 0.544520 | − | 0.838748i | ||||
\(126\) | 1.16539 | + | 0.846703i | 0.103821 | + | 0.0754303i | ||||
\(127\) | 0.802457 | − | 5.06651i | 0.0712065 | − | 0.449580i | −0.926165 | − | 0.377119i | \(-0.876915\pi\) |
0.997371 | − | 0.0724611i | \(-0.0230853\pi\) | |||||||
\(128\) | 0.891007 | + | 0.453990i | 0.0787546 | + | 0.0401275i | ||||
\(129\) | 7.34786i | 0.646943i | ||||||||
\(130\) | −7.33028 | − | 1.42450i | −0.642908 | − | 0.124937i | ||||
\(131\) | 1.80084 | + | 5.54242i | 0.157340 | + | 0.484243i | 0.998390 | − | 0.0567137i | \(-0.0180622\pi\) |
−0.841050 | + | 0.540957i | \(0.818062\pi\) | |||||||
\(132\) | 2.12762 | − | 1.08408i | 0.185185 | − | 0.0943567i | ||||
\(133\) | −4.01839 | − | 7.88653i | −0.348438 | − | 0.683849i | ||||
\(134\) | 6.62954 | − | 9.12478i | 0.572705 | − | 0.788261i | ||||
\(135\) | −1.37658 | + | 1.76211i | −0.118477 | + | 0.151658i | ||||
\(136\) | 2.33969 | − | 3.22031i | 0.200627 | − | 0.276139i | ||||
\(137\) | −0.295228 | + | 1.86400i | −0.0252231 | + | 0.159252i | −0.997085 | − | 0.0762992i | \(-0.975690\pi\) |
0.971862 | + | 0.235551i | \(0.0756896\pi\) | |||||||
\(138\) | −0.0345787 | − | 0.0678646i | −0.00294354 | − | 0.00577702i | ||||
\(139\) | −4.81845 | + | 3.50081i | −0.408695 | + | 0.296935i | −0.773073 | − | 0.634317i | \(-0.781282\pi\) |
0.364378 | + | 0.931251i | \(0.381282\pi\) | |||||||
\(140\) | 3.02685 | + | 1.10152i | 0.255815 | + | 0.0930955i | ||||
\(141\) | −3.95855 | − | 1.28621i | −0.333370 | − | 0.108318i | ||||
\(142\) | −12.9295 | − | 2.04783i | −1.08502 | − | 0.171850i | ||||
\(143\) | 7.87622 | − | 1.24747i | 0.658643 | − | 0.104319i | ||||
\(144\) | 0.951057 | − | 0.309017i | 0.0792547 | − | 0.0257514i | ||||
\(145\) | −0.669317 | + | 0.624207i | −0.0555837 | + | 0.0518376i | ||||
\(146\) | −1.26972 | − | 0.412557i | −0.105083 | − | 0.0341435i | ||||
\(147\) | 2.23589 | + | 4.38818i | 0.184413 | + | 0.361931i | ||||
\(148\) | 1.05686 | − | 2.07420i | 0.0868732 | − | 0.170498i | ||||
\(149\) | 13.1333i | 1.07592i | 0.842970 | + | 0.537961i | \(0.180805\pi\) | ||||
−0.842970 | + | 0.537961i | \(0.819195\pi\) | |||||||
\(150\) | −1.87259 | + | 4.63610i | −0.152897 | + | 0.378536i | ||||
\(151\) | −16.7888 | + | 5.45501i | −1.36625 | + | 0.443922i | −0.898125 | − | 0.439739i | \(-0.855071\pi\) |
−0.468127 | + | 0.883661i | \(0.655071\pi\) | |||||||
\(152\) | −6.06894 | − | 0.961225i | −0.492256 | − | 0.0779657i | ||||
\(153\) | −0.622691 | − | 3.93151i | −0.0503416 | − | 0.317844i | ||||
\(154\) | −3.43974 | −0.277182 | ||||||||
\(155\) | 11.8270 | − | 3.88884i | 0.949964 | − | 0.312359i | ||||
\(156\) | 3.33953 | 0.267376 | ||||||||
\(157\) | −1.52233 | − | 9.61164i | −0.121495 | − | 0.767092i | −0.970924 | − | 0.239388i | \(-0.923053\pi\) |
0.849428 | − | 0.527704i | \(-0.176947\pi\) | |||||||
\(158\) | 12.5102 | + | 1.98143i | 0.995261 | + | 0.157634i | ||||
\(159\) | −4.86042 | + | 1.57925i | −0.385457 | + | 0.125242i | ||||
\(160\) | 1.85373 | − | 1.25048i | 0.146550 | − | 0.0988592i | ||||
\(161\) | 0.109717i | 0.00864692i | ||||||||
\(162\) | 0.453990 | − | 0.891007i | 0.0356689 | − | 0.0700041i | ||||
\(163\) | 7.43683 | + | 14.5956i | 0.582497 | + | 1.14321i | 0.974738 | + | 0.223352i | \(0.0717001\pi\) |
−0.392241 | + | 0.919863i | \(0.628300\pi\) | |||||||
\(164\) | 6.11436 | + | 1.98668i | 0.477451 | + | 0.155133i | ||||
\(165\) | 0.186092 | − | 5.33622i | 0.0144873 | − | 0.415425i | ||||
\(166\) | −15.4417 | + | 5.01732i | −1.19851 | + | 0.389420i | ||||
\(167\) | −9.44934 | + | 1.49663i | −0.731212 | + | 0.115813i | −0.510928 | − | 0.859623i | \(-0.670698\pi\) |
−0.220284 | + | 0.975436i | \(0.570698\pi\) | |||||||
\(168\) | −1.42276 | − | 0.225343i | −0.109768 | − | 0.0173856i | ||||
\(169\) | −1.75713 | − | 0.570928i | −0.135164 | − | 0.0439175i | ||||
\(170\) | −3.76199 | − | 8.06661i | −0.288531 | − | 0.618681i | ||||
\(171\) | −4.97108 | + | 3.61170i | −0.380148 | + | 0.276193i | ||||
\(172\) | −3.33586 | − | 6.54699i | −0.254357 | − | 0.499203i | ||||
\(173\) | 2.04450 | − | 12.9084i | 0.155440 | − | 0.981411i | −0.779448 | − | 0.626467i | \(-0.784500\pi\) |
0.934888 | − | 0.354943i | \(-0.115500\pi\) | |||||||
\(174\) | 0.240579 | − | 0.331128i | 0.0182382 | − | 0.0251028i | ||||
\(175\) | 5.43534 | − | 4.72577i | 0.410873 | − | 0.357235i | ||||
\(176\) | −1.40356 | + | 1.93184i | −0.105797 | + | 0.145618i | ||||
\(177\) | 5.25009 | + | 10.3039i | 0.394621 | + | 0.774487i | ||||
\(178\) | 7.09552 | − | 3.61535i | 0.531832 | − | 0.270982i | ||||
\(179\) | −5.19594 | − | 15.9915i | −0.388363 | − | 1.19526i | −0.934011 | − | 0.357244i | \(-0.883716\pi\) |
0.545648 | − | 0.838015i | \(-0.316284\pi\) | |||||||
\(180\) | 0.426558 | − | 2.19501i | 0.0317938 | − | 0.163606i | ||||
\(181\) | − | 1.41750i | − | 0.105362i | −0.998611 | − | 0.0526810i | \(-0.983223\pi\) | ||
0.998611 | − | 0.0526810i | \(-0.0167766\pi\) | |||||||
\(182\) | −4.28626 | − | 2.18396i | −0.317718 | − | 0.161886i | ||||
\(183\) | −0.857999 | + | 5.41719i | −0.0634251 | + | 0.400450i | ||||
\(184\) | 0.0616198 | + | 0.0447694i | 0.00454267 | + | 0.00330044i | ||||
\(185\) | −2.91103 | − | 4.31534i | −0.214023 | − | 0.317270i | ||||
\(186\) | −4.86028 | + | 2.71618i | −0.356373 | + | 0.199160i | ||||
\(187\) | 6.72106 | + | 6.72106i | 0.491493 | + | 0.491493i | ||||
\(188\) | 4.11102 | − | 0.651122i | 0.299827 | − | 0.0474879i | ||||
\(189\) | −1.16539 | + | 0.846703i | −0.0847694 | + | 0.0615886i | ||||
\(190\) | −8.45850 | + | 10.8274i | −0.613644 | + | 0.785505i | ||||
\(191\) | −9.84643 | −0.712462 | −0.356231 | − | 0.934398i | \(-0.615938\pi\) | ||||
−0.356231 | + | 0.934398i | \(0.615938\pi\) | |||||||
\(192\) | −0.707107 | + | 0.707107i | −0.0510310 | + | 0.0510310i | ||||
\(193\) | −1.08356 | − | 0.552100i | −0.0779961 | − | 0.0397410i | 0.414557 | − | 0.910023i | \(-0.363936\pi\) |
−0.492553 | + | 0.870282i | \(0.663936\pi\) | |||||||
\(194\) | 8.97779 | + | 2.91706i | 0.644568 | + | 0.209433i | ||||
\(195\) | 3.61996 | − | 6.53131i | 0.259231 | − | 0.467717i | ||||
\(196\) | −3.98438 | − | 2.89482i | −0.284599 | − | 0.206773i | ||||
\(197\) | −8.95156 | − | 4.56105i | −0.637772 | − | 0.324961i | 0.105033 | − | 0.994469i | \(-0.466505\pi\) |
−0.742805 | + | 0.669508i | \(0.766505\pi\) | |||||||
\(198\) | 0.373547 | + | 2.35848i | 0.0265468 | + | 0.167610i | ||||
\(199\) | −0.0824729 | + | 0.0599201i | −0.00584635 | + | 0.00424762i | −0.590705 | − | 0.806888i | \(-0.701150\pi\) |
0.584858 | + | 0.811136i | \(0.301150\pi\) | |||||||
\(200\) | −0.436250 | − | 4.98093i | −0.0308476 | − | 0.352205i | ||||
\(201\) | 6.62954 | + | 9.12478i | 0.467612 | + | 0.643612i | ||||
\(202\) | 8.59888 | + | 1.36193i | 0.605015 | + | 0.0958250i | ||||
\(203\) | −0.525329 | + | 0.267669i | −0.0368709 | + | 0.0187867i | ||||
\(204\) | 2.33969 | + | 3.22031i | 0.163811 | + | 0.225467i | ||||
\(205\) | 10.5133 | − | 9.80472i | 0.734279 | − | 0.684791i | ||||
\(206\) | −4.04400 | − | 12.4462i | −0.281759 | − | 0.867164i | ||||
\(207\) | 0.0752285 | − | 0.0119150i | 0.00522874 | − | 0.000828151i | ||||
\(208\) | −2.97554 | + | 1.51611i | −0.206317 | + | 0.105124i | ||||
\(209\) | 4.53407 | − | 13.9544i | 0.313628 | − | 0.965248i | ||||
\(210\) | −1.98296 | + | 2.53832i | −0.136837 | + | 0.175160i | ||||
\(211\) | 19.4738 | 1.34063 | 0.670316 | − | 0.742076i | \(-0.266159\pi\) | ||||
0.670316 | + | 0.742076i | \(0.266159\pi\) | |||||||
\(212\) | 3.61370 | − | 3.61370i | 0.248190 | − | 0.248190i | ||||
\(213\) | 5.94303 | − | 11.6638i | 0.407210 | − | 0.799194i | ||||
\(214\) | −10.7569 | − | 14.8057i | −0.735329 | − | 1.01209i | ||||
\(215\) | −16.4203 | − | 0.572632i | −1.11986 | − | 0.0390532i | ||||
\(216\) | 1.00000i | 0.0680414i | ||||||||
\(217\) | 8.01444 | − | 0.307710i | 0.544056 | − | 0.0208887i | ||||
\(218\) | 6.49083 | − | 6.49083i | 0.439615 | − | 0.439615i | ||||
\(219\) | 0.784730 | − | 1.08009i | 0.0530271 | − | 0.0729856i | ||||
\(220\) | 2.25679 | + | 4.83909i | 0.152152 | + | 0.326252i | ||||
\(221\) | 4.10778 | + | 12.6424i | 0.276319 | + | 0.850423i | ||||
\(222\) | 1.64610 | + | 1.64610i | 0.110479 | + | 0.110479i | ||||
\(223\) | 0.370450 | + | 0.370450i | 0.0248071 | + | 0.0248071i | 0.719402 | − | 0.694594i | \(-0.244416\pi\) |
−0.694594 | + | 0.719402i | \(0.744416\pi\) | |||||||
\(224\) | 1.36999 | − | 0.445138i | 0.0915366 | − | 0.0297420i | ||||
\(225\) | −3.83053 | − | 3.21358i | −0.255368 | − | 0.214238i | ||||
\(226\) | 1.07094 | − | 3.29601i | 0.0712378 | − | 0.219248i | ||||
\(227\) | −1.36732 | − | 8.63293i | −0.0907523 | − | 0.572987i | −0.990601 | − | 0.136785i | \(-0.956323\pi\) |
0.899848 | − | 0.436203i | \(-0.143677\pi\) | |||||||
\(228\) | 2.78958 | − | 5.47487i | 0.184745 | − | 0.362582i | ||||
\(229\) | −15.7384 | − | 11.4347i | −1.04003 | − | 0.755623i | −0.0697354 | − | 0.997566i | \(-0.522215\pi\) |
−0.970291 | + | 0.241942i | \(0.922215\pi\) | |||||||
\(230\) | 0.154352 | − | 0.0719846i | 0.0101777 | − | 0.00474652i | ||||
\(231\) | 1.06294 | − | 3.27139i | 0.0699361 | − | 0.215241i | ||||
\(232\) | −0.0640281 | + | 0.404258i | −0.00420365 | + | 0.0265408i | ||||
\(233\) | 1.62620 | − | 10.2674i | 0.106536 | − | 0.672642i | −0.875396 | − | 0.483407i | \(-0.839399\pi\) |
0.981932 | − | 0.189235i | \(-0.0606009\pi\) | |||||||
\(234\) | −1.03197 | + | 3.17608i | −0.0674620 | + | 0.207627i | ||||
\(235\) | 3.18280 | − | 8.74597i | 0.207623 | − | 0.570524i | ||||
\(236\) | −9.35573 | − | 6.79733i | −0.609006 | − | 0.442469i | ||||
\(237\) | −5.75032 | + | 11.2856i | −0.373524 | + | 0.733082i | ||||
\(238\) | −0.896984 | − | 5.66333i | −0.0581428 | − | 0.367099i | ||||
\(239\) | −3.51352 | + | 10.8135i | −0.227271 | + | 0.699467i | 0.770783 | + | 0.637098i | \(0.219865\pi\) |
−0.998053 | + | 0.0623688i | \(0.980135\pi\) | |||||||
\(240\) | 0.616446 | + | 2.14942i | 0.0397914 | + | 0.138744i | ||||
\(241\) | −17.6290 | + | 5.72800i | −1.13558 | + | 0.368973i | −0.815695 | − | 0.578483i | \(-0.803645\pi\) |
−0.319887 | + | 0.947456i | \(0.603645\pi\) | |||||||
\(242\) | 3.74626 | + | 3.74626i | 0.240819 | + | 0.240819i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −1.69487 | − | 5.21627i | −0.108503 | − | 0.333938i | ||||
\(245\) | −9.98055 | + | 4.65458i | −0.637634 | + | 0.297370i | ||||
\(246\) | −3.77888 | + | 5.20119i | −0.240933 | + | 0.331615i | ||||
\(247\) | 14.5098 | − | 14.5098i | 0.923239 | − | 0.923239i | ||||
\(248\) | 3.09742 | − | 4.62666i | 0.196687 | − | 0.293793i | ||||
\(249\) | − | 16.2364i | − | 1.02894i | ||||||
\(250\) | −10.2144 | − | 4.54600i | −0.646015 | − | 0.287514i | ||||
\(251\) | 11.0472 | + | 15.2051i | 0.697292 | + | 0.959740i | 0.999978 | + | 0.00664933i | \(0.00211656\pi\) |
−0.302686 | + | 0.953090i | \(0.597883\pi\) | |||||||
\(252\) | 0.653972 | − | 1.28349i | 0.0411964 | − | 0.0808524i | ||||
\(253\) | −0.128606 | + | 0.128606i | −0.00808537 | + | 0.00808537i | ||||
\(254\) | −5.12967 | −0.321864 | ||||||||
\(255\) | 8.83432 | − | 1.08514i | 0.553227 | − | 0.0679543i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 22.4360 | − | 11.4317i | 1.39952 | − | 0.713091i | 0.418722 | − | 0.908115i | \(-0.362478\pi\) |
0.980799 | + | 0.195024i | \(0.0624783\pi\) | |||||||
\(258\) | 7.25739 | − | 1.14946i | 0.451826 | − | 0.0715621i | ||||
\(259\) | −1.03625 | − | 3.18925i | −0.0643895 | − | 0.198170i | ||||
\(260\) | −0.260255 | + | 7.46287i | −0.0161404 | + | 0.462828i | ||||
\(261\) | 0.240579 | + | 0.331128i | 0.0148914 | + | 0.0204963i | ||||
\(262\) | 5.19247 | − | 2.64569i | 0.320792 | − | 0.163452i | ||||
\(263\) | 6.05456 | + | 0.958947i | 0.373340 | + | 0.0591312i | 0.340285 | − | 0.940322i | \(-0.389476\pi\) |
0.0330548 | + | 0.999454i | \(0.489476\pi\) | |||||||
\(264\) | −1.40356 | − | 1.93184i | −0.0863833 | − | 0.118896i | ||||
\(265\) | −3.15038 | − | 10.9847i | −0.193526 | − | 0.674785i | ||||
\(266\) | −7.16082 | + | 5.20264i | −0.439058 | + | 0.318994i | ||||
\(267\) | 1.24576 | + | 7.86545i | 0.0762395 | + | 0.481358i | ||||
\(268\) | −10.0495 | − | 5.12049i | −0.613872 | − | 0.312784i | ||||
\(269\) | −14.5448 | − | 10.5674i | −0.886810 | − | 0.644305i | 0.0482346 | − | 0.998836i | \(-0.484640\pi\) |
−0.935044 | + | 0.354531i | \(0.884640\pi\) | |||||||
\(270\) | 1.95576 | + | 1.08397i | 0.119024 | + | 0.0659686i | ||||
\(271\) | 10.4131 | + | 3.38342i | 0.632550 | + | 0.205528i | 0.607704 | − | 0.794163i | \(-0.292091\pi\) |
0.0248458 | + | 0.999691i | \(0.492091\pi\) | |||||||
\(272\) | −3.54667 | − | 1.80712i | −0.215048 | − | 0.109573i | ||||
\(273\) | 3.40159 | − | 3.40159i | 0.205874 | − | 0.205874i | ||||
\(274\) | 1.88723 | 0.114012 | ||||||||
\(275\) | 11.9104 | + | 0.831724i | 0.718225 | + | 0.0501548i | ||||
\(276\) | −0.0616198 | + | 0.0447694i | −0.00370907 | + | 0.00269480i | ||||
\(277\) | −17.8433 | + | 2.82610i | −1.07210 | + | 0.169804i | −0.667440 | − | 0.744664i | \(-0.732610\pi\) |
−0.404659 | + | 0.914468i | \(0.632610\pi\) | |||||||
\(278\) | 4.21148 | + | 4.21148i | 0.252588 | + | 0.252588i | ||||
\(279\) | −1.08133 | − | 5.46175i | −0.0647377 | − | 0.326986i | ||||
\(280\) | 0.614455 | − | 3.16190i | 0.0367207 | − | 0.188960i | ||||
\(281\) | 10.9959 | + | 7.98902i | 0.655963 | + | 0.476585i | 0.865297 | − | 0.501259i | \(-0.167130\pi\) |
−0.209334 | + | 0.977844i | \(0.567130\pi\) | |||||||
\(282\) | −0.651122 | + | 4.11102i | −0.0387737 | + | 0.244808i | ||||
\(283\) | 7.99942 | + | 4.07591i | 0.475516 | + | 0.242288i | 0.675287 | − | 0.737555i | \(-0.264020\pi\) |
−0.199771 | + | 0.979843i | \(0.564020\pi\) | |||||||
\(284\) | 13.0906i | 0.776787i | ||||||||
\(285\) | −7.68369 | − | 11.3904i | −0.455143 | − | 0.674708i | ||||
\(286\) | −2.46422 | − | 7.58410i | −0.145713 | − | 0.448457i | ||||
\(287\) | 8.25159 | − | 4.20440i | 0.487076 | − | 0.248178i | ||||
\(288\) | −0.453990 | − | 0.891007i | −0.0267516 | − | 0.0525031i | ||||
\(289\) | 0.679158 | − | 0.934781i | 0.0399505 | − | 0.0549871i | ||||
\(290\) | 0.721226 | + | 0.563429i | 0.0423519 | + | 0.0330857i | ||||
\(291\) | −5.54858 | + | 7.63696i | −0.325263 | + | 0.447687i | ||||
\(292\) | −0.208850 | + | 1.31863i | −0.0122220 | + | 0.0771667i | ||||
\(293\) | −3.44636 | − | 6.76385i | −0.201338 | − | 0.395148i | 0.768156 | − | 0.640263i | \(-0.221175\pi\) |
−0.969494 | + | 0.245114i | \(0.921175\pi\) | |||||||
\(294\) | 3.98438 | − | 2.89482i | 0.232374 | − | 0.168830i | ||||
\(295\) | −23.4353 | + | 10.9294i | −1.36446 | + | 0.636336i | ||||
\(296\) | −2.21399 | − | 0.719370i | −0.128686 | − | 0.0418125i | ||||
\(297\) | −2.35848 | − | 0.373547i | −0.136853 | − | 0.0216754i | ||||
\(298\) | 12.9716 | − | 2.05450i | 0.751425 | − | 0.119014i | ||||
\(299\) | −0.241910 | + | 0.0786013i | −0.0139900 | + | 0.00454563i | ||||
\(300\) | 4.87196 | + | 1.12429i | 0.281283 | + | 0.0649111i | ||||
\(301\) | −10.0665 | − | 3.27081i | −0.580225 | − | 0.188526i | ||||
\(302\) | 8.01419 | + | 15.7287i | 0.461165 | + | 0.905087i | ||||
\(303\) | −3.95247 | + | 7.75716i | −0.227064 | + | 0.445637i | ||||
\(304\) | 6.14459i | 0.352416i | ||||||||
\(305\) | −12.0390 | − | 2.33955i | −0.689350 | − | 0.133962i | ||||
\(306\) | −3.78570 | + | 1.23005i | −0.216414 | + | 0.0703172i | ||||
\(307\) | 3.53441 | + | 0.559795i | 0.201719 | + | 0.0319492i | 0.256476 | − | 0.966551i | \(-0.417438\pi\) |
−0.0547571 | + | 0.998500i | \(0.517438\pi\) | |||||||
\(308\) | 0.538094 | + | 3.39739i | 0.0306607 | + | 0.193584i | ||||
\(309\) | 13.0867 | 0.744474 | ||||||||
\(310\) | −5.69111 | − | 11.0730i | −0.323233 | − | 0.628904i | ||||
\(311\) | −0.587279 | −0.0333015 | −0.0166508 | − | 0.999861i | \(-0.505300\pi\) | ||||
−0.0166508 | + | 0.999861i | \(0.505300\pi\) | |||||||
\(312\) | −0.522417 | − | 3.29841i | −0.0295760 | − | 0.186736i | ||||
\(313\) | −10.7015 | − | 1.69496i | −0.604887 | − | 0.0958047i | −0.153524 | − | 0.988145i | \(-0.549062\pi\) |
−0.451363 | + | 0.892340i | \(0.649062\pi\) | |||||||
\(314\) | −9.25516 | + | 3.00718i | −0.522299 | + | 0.169705i | ||||
\(315\) | −1.80131 | − | 2.67029i | −0.101493 | − | 0.150454i | ||||
\(316\) | − | 12.6662i | − | 0.712528i | ||||||
\(317\) | −11.9767 | + | 23.5055i | −0.672677 | + | 1.32020i | 0.262125 | + | 0.965034i | \(0.415577\pi\) |
−0.934802 | + | 0.355169i | \(0.884423\pi\) | |||||||
\(318\) | 2.32014 | + | 4.55353i | 0.130107 | + | 0.255349i | ||||
\(319\) | −0.929518 | − | 0.302019i | −0.0520430 | − | 0.0169098i | ||||
\(320\) | −1.52507 | − | 1.63528i | −0.0852541 | − | 0.0914152i | ||||
\(321\) | 17.4051 | − | 5.65526i | 0.971457 | − | 0.315646i | ||||
\(322\) | 0.108366 | − | 0.0171635i | 0.00603902 | − | 0.000956487i | ||||
\(323\) | 24.1575 | + | 3.82618i | 1.34416 | + | 0.212894i | ||||
\(324\) | −0.951057 | − | 0.309017i | −0.0528365 | − | 0.0171676i | ||||
\(325\) | 14.3135 | + | 8.59856i | 0.793969 | + | 0.476962i | ||||
\(326\) | 13.2525 | − | 9.62852i | 0.733989 | − | 0.533274i | ||||
\(327\) | 4.16737 | + | 8.17893i | 0.230456 | + | 0.452296i | ||||
\(328\) | 1.00572 | − | 6.34987i | 0.0555316 | − | 0.350613i | ||||
\(329\) | 3.52420 | − | 4.85065i | 0.194295 | − | 0.267425i | ||||
\(330\) | −5.29964 | + | 0.650968i | −0.291735 | + | 0.0358346i | ||||
\(331\) | 18.3701 | − | 25.2843i | 1.00971 | − | 1.38975i | 0.0905409 | − | 0.995893i | \(-0.471140\pi\) |
0.919172 | − | 0.393857i | \(-0.128860\pi\) | |||||||
\(332\) | 7.37117 | + | 14.4667i | 0.404546 | + | 0.793966i | ||||
\(333\) | −2.07420 | + | 1.05686i | −0.113666 | + | 0.0579155i | ||||
\(334\) | 2.95640 | + | 9.09888i | 0.161767 | + | 0.497868i | ||||
\(335\) | −20.9079 | + | 14.1040i | −1.14232 | + | 0.770583i | ||||
\(336\) | 1.44050i | 0.0785855i | ||||||||
\(337\) | −6.11810 | − | 3.11733i | −0.333274 | − | 0.169812i | 0.279343 | − | 0.960191i | \(-0.409883\pi\) |
−0.612617 | + | 0.790380i | \(0.709883\pi\) | |||||||
\(338\) | −0.289022 | + | 1.82481i | −0.0157207 | + | 0.0992568i | ||||
\(339\) | 2.80376 | + | 2.03705i | 0.152279 | + | 0.110637i | ||||
\(340\) | −7.37879 | + | 4.97757i | −0.400171 | + | 0.269946i | ||||
\(341\) | 9.75487 | + | 9.03350i | 0.528256 | + | 0.489191i | ||||
\(342\) | 4.34488 | + | 4.34488i | 0.234944 | + | 0.234944i | ||||
\(343\) | −16.9664 | + | 2.68721i | −0.916099 | + | 0.145096i | ||||
\(344\) | −5.94454 | + | 4.31896i | −0.320508 | + | 0.232863i | ||||
\(345\) | 0.0207639 | + | 0.169042i | 0.00111789 | + | 0.00910093i | ||||
\(346\) | −13.0693 | −0.702612 | ||||||||
\(347\) | 6.37726 | − | 6.37726i | 0.342349 | − | 0.342349i | −0.514901 | − | 0.857250i | \(-0.672171\pi\) |
0.857250 | + | 0.514901i | \(0.172171\pi\) | |||||||
\(348\) | −0.364686 | − | 0.185817i | −0.0195492 | − | 0.00996083i | ||||
\(349\) | 1.82361 | + | 0.592527i | 0.0976156 | + | 0.0317172i | 0.357418 | − | 0.933945i | \(-0.383657\pi\) |
−0.259802 | + | 0.965662i | \(0.583657\pi\) | |||||||
\(350\) | −5.51786 | − | 4.62915i | −0.294942 | − | 0.247438i | ||||
\(351\) | −2.70173 | − | 1.96292i | −0.144208 | − | 0.104773i | ||||
\(352\) | 2.12762 | + | 1.08408i | 0.113402 | + | 0.0577815i | ||||
\(353\) | 2.73929 | + | 17.2952i | 0.145797 | + | 0.920529i | 0.946789 | + | 0.321854i | \(0.104306\pi\) |
−0.800992 | + | 0.598675i | \(0.795694\pi\) | |||||||
\(354\) | 9.35573 | − | 6.79733i | 0.497251 | − | 0.361274i | ||||
\(355\) | 25.6022 | + | 14.1899i | 1.35882 | + | 0.753123i | ||||
\(356\) | −4.68082 | − | 6.44260i | −0.248083 | − | 0.341457i | ||||
\(357\) | 5.66333 | + | 0.896984i | 0.299735 | + | 0.0474734i | ||||
\(358\) | −14.9818 | + | 7.63359i | −0.791811 | + | 0.403448i | ||||
\(359\) | 4.42727 | + | 6.09362i | 0.233662 | + | 0.321609i | 0.909706 | − | 0.415253i | \(-0.136307\pi\) |
−0.676044 | + | 0.736862i | \(0.736307\pi\) | |||||||
\(360\) | −2.23471 | − | 0.0779318i | −0.117780 | − | 0.00410737i | ||||
\(361\) | −5.79591 | − | 17.8380i | −0.305048 | − | 0.938841i | ||||
\(362\) | −1.40005 | + | 0.221746i | −0.0735849 | + | 0.0116547i | ||||
\(363\) | −4.72057 | + | 2.40525i | −0.247765 | + | 0.126243i | ||||
\(364\) | −1.48655 | + | 4.57513i | −0.0779164 | + | 0.239802i | ||||
\(365\) | 2.35253 | + | 1.83782i | 0.123137 | + | 0.0961957i | ||||
\(366\) | 5.48472 | 0.286691 | ||||||||
\(367\) | 24.3745 | − | 24.3745i | 1.27234 | − | 1.27234i | 0.327481 | − | 0.944858i | \(-0.393800\pi\) |
0.944858 | − | 0.327481i | \(-0.106200\pi\) | |||||||
\(368\) | 0.0345787 | − | 0.0678646i | 0.00180254 | − | 0.00353769i | ||||
\(369\) | −3.77888 | − | 5.20119i | −0.196721 | − | 0.270763i | ||||
\(370\) | −3.80683 | + | 3.55026i | −0.197908 | + | 0.184569i | ||||
\(371\) | − | 7.36173i | − | 0.382202i | ||||||
\(372\) | 3.44306 | + | 4.37554i | 0.178514 | + | 0.226861i | ||||
\(373\) | 15.1089 | − | 15.1089i | 0.782309 | − | 0.782309i | −0.197911 | − | 0.980220i | \(-0.563416\pi\) |
0.980220 | + | 0.197911i | \(0.0634158\pi\) | |||||||
\(374\) | 5.58691 | − | 7.68972i | 0.288892 | − | 0.397626i | ||||
\(375\) | 7.47993 | − | 8.30967i | 0.386262 | − | 0.429110i | ||||
\(376\) | −1.28621 | − | 3.95855i | −0.0663312 | − | 0.204147i | ||||
\(377\) | −0.966514 | − | 0.966514i | −0.0497780 | − | 0.0497780i | ||||
\(378\) | 1.01859 | + | 1.01859i | 0.0523904 | + | 0.0523904i | ||||
\(379\) | −12.6766 | + | 4.11886i | −0.651151 | + | 0.211572i | −0.615922 | − | 0.787807i | \(-0.711216\pi\) |
−0.0352295 | + | 0.999379i | \(0.511216\pi\) | |||||||
\(380\) | 12.0173 | + | 6.66058i | 0.616477 | + | 0.341680i | ||||
\(381\) | 1.58515 | − | 4.87860i | 0.0812099 | − | 0.249938i | ||||
\(382\) | 1.54032 | + | 9.72520i | 0.0788096 | + | 0.497585i | ||||
\(383\) | 14.5034 | − | 28.4644i | 0.741087 | − | 1.45447i | −0.144263 | − | 0.989539i | \(-0.546081\pi\) |
0.885350 | − | 0.464926i | \(-0.153919\pi\) | |||||||
\(384\) | 0.809017 | + | 0.587785i | 0.0412850 | + | 0.0299953i | ||||
\(385\) | 7.22776 | + | 2.63030i | 0.368361 | + | 0.134053i | ||||
\(386\) | −0.375797 | + | 1.15658i | −0.0191276 | + | 0.0588686i | ||||
\(387\) | −1.14946 | + | 7.25739i | −0.0584302 | + | 0.368914i | ||||
\(388\) | 1.47671 | − | 9.32358i | 0.0749686 | − | 0.473333i | ||||
\(389\) | −10.6274 | + | 32.7077i | −0.538829 | + | 1.65835i | 0.196398 | + | 0.980524i | \(0.437076\pi\) |
−0.735227 | + | 0.677821i | \(0.762924\pi\) | |||||||
\(390\) | −7.01719 | − | 2.55367i | −0.355329 | − | 0.129310i | ||||
\(391\) | −0.245279 | − | 0.178205i | −0.0124043 | − | 0.00901224i | ||||
\(392\) | −2.23589 | + | 4.38818i | −0.112929 | + | 0.221637i | ||||
\(393\) | 0.911644 | + | 5.75589i | 0.0459864 | + | 0.290346i | ||||
\(394\) | −3.10456 | + | 9.55486i | −0.156406 | + | 0.481367i | ||||
\(395\) | −24.7720 | − | 13.7298i | −1.24642 | − | 0.690822i | ||||
\(396\) | 2.27101 | − | 0.737896i | 0.114123 | − | 0.0370807i | ||||
\(397\) | −15.9248 | − | 15.9248i | −0.799244 | − | 0.799244i | 0.183733 | − | 0.982976i | \(-0.441182\pi\) |
−0.982976 | + | 0.183733i | \(0.941182\pi\) | |||||||
\(398\) | 0.0720840 | + | 0.0720840i | 0.00361324 | + | 0.00361324i | ||||
\(399\) | −2.73519 | − | 8.41805i | −0.136931 | − | 0.421429i | ||||
\(400\) | −4.85136 | + | 1.21007i | −0.242568 | + | 0.0605034i | ||||
\(401\) | −4.98580 | + | 6.86237i | −0.248979 | + | 0.342690i | −0.915153 | − | 0.403106i | \(-0.867931\pi\) |
0.666174 | + | 0.745796i | \(0.267931\pi\) | |||||||
\(402\) | 7.97535 | − | 7.97535i | 0.397774 | − | 0.397774i | ||||
\(403\) | 6.41999 | + | 17.4502i | 0.319803 | + | 0.869256i | ||||
\(404\) | − | 8.70606i | − | 0.433143i | ||||||
\(405\) | −1.63528 | + | 1.52507i | −0.0812579 | + | 0.0757814i | ||||
\(406\) | 0.346553 | + | 0.476989i | 0.0171991 | + | 0.0236726i | ||||
\(407\) | 2.52365 | − | 4.95295i | 0.125093 | − | 0.245509i | ||||
\(408\) | 2.81465 | − | 2.81465i | 0.139346 | − | 0.139346i | ||||
\(409\) | −11.6346 | −0.575295 | −0.287648 | − | 0.957736i | \(-0.592873\pi\) | ||||
−0.287648 | + | 0.957736i | \(0.592873\pi\) | |||||||
\(410\) | −11.3286 | − | 8.85004i | −0.559482 | − | 0.437072i | ||||
\(411\) | −0.583187 | + | 1.79487i | −0.0287665 | + | 0.0885342i | ||||
\(412\) | −11.6603 | + | 5.94122i | −0.574462 | + | 0.292703i | ||||
\(413\) | −16.4533 | + | 2.60594i | −0.809612 | + | 0.128230i | ||||
\(414\) | −0.0235367 | − | 0.0724384i | −0.00115676 | − | 0.00356015i | ||||
\(415\) | 36.2836 | + | 1.26533i | 1.78109 | + | 0.0621127i | ||||
\(416\) | 1.96292 | + | 2.70173i | 0.0962403 | + | 0.132463i | ||||
\(417\) | −5.30677 | + | 2.70393i | −0.259874 | + | 0.132412i | ||||
\(418\) | −14.4919 | − | 2.29529i | −0.708823 | − | 0.112266i | ||||
\(419\) | 11.5127 | + | 15.8459i | 0.562434 | + | 0.774123i | 0.991633 | − | 0.129086i | \(-0.0412044\pi\) |
−0.429200 | + | 0.903210i | \(0.641204\pi\) | |||||||
\(420\) | 2.81727 | + | 1.56146i | 0.137469 | + | 0.0761916i | ||||
\(421\) | −24.0424 | + | 17.4678i | −1.17175 | + | 0.851329i | −0.991218 | − | 0.132239i | \(-0.957783\pi\) |
−0.180536 | + | 0.983568i | \(0.557783\pi\) | |||||||
\(422\) | −3.04637 | − | 19.2340i | −0.148295 | − | 0.936299i | ||||
\(423\) | −3.70860 | − | 1.88963i | −0.180319 | − | 0.0918769i | ||||
\(424\) | −4.13452 | − | 3.00391i | −0.200790 | − | 0.145883i | ||||
\(425\) | 1.73650 | + | 19.8267i | 0.0842328 | + | 0.961736i | ||||
\(426\) | −12.4499 | − | 4.04523i | −0.603202 | − | 0.195992i | ||||
\(427\) | −7.03959 | − | 3.58685i | −0.340670 | − | 0.173580i | ||||
\(428\) | −12.9406 | + | 12.9406i | −0.625508 | + | 0.625508i | ||||
\(429\) | 7.97440 | 0.385008 | ||||||||
\(430\) | 2.00312 | + | 16.3077i | 0.0965992 | + | 0.786429i | ||||
\(431\) | −8.15533 | + | 5.92520i | −0.392829 | + | 0.285407i | −0.766614 | − | 0.642109i | \(-0.778060\pi\) |
0.373785 | + | 0.927515i | \(0.378060\pi\) | |||||||
\(432\) | 0.987688 | − | 0.156434i | 0.0475202 | − | 0.00752646i | ||||
\(433\) | 27.9214 | + | 27.9214i | 1.34182 | + | 1.34182i | 0.894251 | + | 0.447566i | \(0.147709\pi\) |
0.447566 | + | 0.894251i | \(0.352291\pi\) | |||||||
\(434\) | −1.55766 | − | 7.86763i | −0.0747699 | − | 0.377659i | ||||
\(435\) | −0.758724 | + | 0.511818i | −0.0363780 | + | 0.0245398i | ||||
\(436\) | −7.42631 | − | 5.39553i | −0.355656 | − | 0.258399i | ||||
\(437\) | −0.0732129 | + | 0.462248i | −0.00350225 | + | 0.0221123i | ||||
\(438\) | −1.18955 | − | 0.606106i | −0.0568389 | − | 0.0289609i | ||||
\(439\) | 39.1976i | 1.87080i | 0.353592 | + | 0.935400i | \(0.384960\pi\) | ||||
−0.353592 | + | 0.935400i | \(0.615040\pi\) | |||||||
\(440\) | 4.42648 | − | 2.98600i | 0.211024 | − | 0.142352i | ||||
\(441\) | 1.52190 | + | 4.68392i | 0.0724714 | + | 0.223044i | ||||
\(442\) | 11.8442 | − | 6.03492i | 0.563371 | − | 0.287052i | ||||
\(443\) | −3.65073 | − | 7.16496i | −0.173451 | − | 0.340417i | 0.787872 | − | 0.615839i | \(-0.211183\pi\) |
−0.961324 | + | 0.275421i | \(0.911183\pi\) | |||||||
\(444\) | 1.36832 | − | 1.88334i | 0.0649378 | − | 0.0893791i | ||||
\(445\) | −17.6741 | + | 2.17095i | −0.837831 | + | 0.102913i | ||||
\(446\) | 0.307938 | − | 0.423840i | 0.0145813 | − | 0.0200694i | ||||
\(447\) | −2.05450 | + | 12.9716i | −0.0971745 | + | 0.613536i | ||||
\(448\) | −0.653972 | − | 1.28349i | −0.0308973 | − | 0.0606393i | ||||
\(449\) | −23.1125 | + | 16.7922i | −1.09074 | + | 0.792472i | −0.979525 | − | 0.201324i | \(-0.935476\pi\) |
−0.111219 | + | 0.993796i | \(0.535476\pi\) | |||||||
\(450\) | −2.57478 | + | 4.28608i | −0.121377 | + | 0.202048i | ||||
\(451\) | 14.6004 | + | 4.74395i | 0.687505 | + | 0.223384i | ||||
\(452\) | −3.42297 | − | 0.542145i | −0.161003 | − | 0.0255003i | ||||
\(453\) | −17.4354 | + | 2.76150i | −0.819188 | + | 0.129747i | ||||
\(454\) | −8.31274 | + | 2.70097i | −0.390136 | + | 0.126763i | ||||
\(455\) | 7.33648 | + | 7.86666i | 0.343939 | + | 0.368795i | ||||
\(456\) | −5.84385 | − | 1.89878i | −0.273663 | − | 0.0889186i | ||||
\(457\) | 5.43175 | + | 10.6604i | 0.254087 | + | 0.498673i | 0.982452 | − | 0.186516i | \(-0.0597196\pi\) |
−0.728365 | + | 0.685189i | \(0.759720\pi\) | |||||||
\(458\) | −8.83184 | + | 17.3335i | −0.412685 | + | 0.809939i | ||||
\(459\) | − | 3.98052i | − | 0.185795i | ||||||
\(460\) | −0.0952444 | − | 0.141191i | −0.00444079 | − | 0.00658307i | ||||
\(461\) | −9.84326 | + | 3.19827i | −0.458446 | + | 0.148958i | −0.529130 | − | 0.848541i | \(-0.677482\pi\) |
0.0706842 | + | 0.997499i | \(0.477482\pi\) | |||||||
\(462\) | −3.39739 | − | 0.538094i | −0.158061 | − | 0.0250344i | ||||
\(463\) | 4.46613 | + | 28.1980i | 0.207559 | + | 1.31047i | 0.842828 | + | 0.538183i | \(0.180889\pi\) |
−0.635270 | + | 0.772290i | \(0.719111\pi\) | |||||||
\(464\) | 0.409297 | 0.0190011 | ||||||||
\(465\) | 12.2897 | − | 1.99082i | 0.569921 | − | 0.0923221i | ||||
\(466\) | −10.3954 | −0.481559 | ||||||||
\(467\) | 3.89099 | + | 24.5667i | 0.180053 | + | 1.13681i | 0.897766 | + | 0.440473i | \(0.145189\pi\) |
−0.717713 | + | 0.696339i | \(0.754811\pi\) | |||||||
\(468\) | 3.29841 | + | 0.522417i | 0.152469 | + | 0.0241487i | ||||
\(469\) | −15.4519 | + | 5.02064i | −0.713505 | + | 0.231832i | ||||
\(470\) | −9.13619 | − | 1.77545i | −0.421421 | − | 0.0818953i | ||||
\(471\) | − | 9.73145i | − | 0.448401i | ||||||
\(472\) | −5.25009 | + | 10.3039i | −0.241655 | + | 0.474274i | ||||
\(473\) | −7.96564 | − | 15.6334i | −0.366260 | − | 0.718826i | ||||
\(474\) | 12.0463 | + | 3.91406i | 0.553303 | + | 0.179779i | ||||
\(475\) | 26.0530 | − | 16.2831i | 1.19539 | − | 0.747122i | ||||
\(476\) | −5.45329 | + | 1.77188i | −0.249951 | + | 0.0812140i | ||||
\(477\) | −5.04763 | + | 0.799466i | −0.231115 | + | 0.0366050i | ||||
\(478\) | 11.2300 | + | 1.77866i | 0.513648 | + | 0.0813539i | ||||
\(479\) | 7.75485 | + | 2.51970i | 0.354328 | + | 0.115128i | 0.480772 | − | 0.876846i | \(-0.340356\pi\) |
−0.126444 | + | 0.991974i | \(0.540356\pi\) | |||||||
\(480\) | 2.02652 | − | 0.945099i | 0.0924976 | − | 0.0431377i | ||||
\(481\) | 6.28945 | − | 4.56955i | 0.286774 | − | 0.208354i | ||||
\(482\) | 8.41526 | + | 16.5159i | 0.383304 | + | 0.752277i | ||||
\(483\) | −0.0171635 | + | 0.108366i | −0.000780968 | + | 0.00493084i | ||||
\(484\) | 3.11410 | − | 4.28618i | 0.141550 | − | 0.194827i | ||||
\(485\) | −16.6340 | − | 12.9946i | −0.755310 | − | 0.590055i | ||||
\(486\) | 0.587785 | − | 0.809017i | 0.0266625 | − | 0.0366978i | ||||
\(487\) | 11.7402 | + | 23.0414i | 0.531998 | + | 1.04410i | 0.988047 | + | 0.154150i | \(0.0492638\pi\) |
−0.456050 | + | 0.889954i | \(0.650736\pi\) | |||||||
\(488\) | −4.88692 | + | 2.49001i | −0.221220 | + | 0.112717i | ||||
\(489\) | 5.06201 | + | 15.5793i | 0.228912 | + | 0.704519i | ||||
\(490\) | 6.15858 | + | 9.12954i | 0.278216 | + | 0.412431i | ||||
\(491\) | 29.7252i | 1.34148i | 0.741692 | + | 0.670741i | \(0.234024\pi\) | ||||
−0.741692 | + | 0.670741i | \(0.765976\pi\) | |||||||
\(492\) | 5.72830 | + | 2.91871i | 0.258252 | + | 0.131586i | ||||
\(493\) | 0.254865 | − | 1.60916i | 0.0114786 | − | 0.0724728i | ||||
\(494\) | −16.6010 | − | 12.0614i | −0.746916 | − | 0.542666i | ||||
\(495\) | 1.01857 | − | 5.24142i | 0.0457813 | − | 0.235584i | ||||
\(496\) | −5.05424 | − | 2.33552i | −0.226942 | − | 0.104868i | ||||
\(497\) | 13.3339 | + | 13.3339i | 0.598109 | + | 0.598109i | ||||
\(498\) | −16.0365 | + | 2.53993i | −0.718613 | + | 0.113817i | ||||
\(499\) | −7.65515 | + | 5.56179i | −0.342692 | + | 0.248980i | −0.745797 | − | 0.666174i | \(-0.767931\pi\) |
0.403105 | + | 0.915154i | \(0.367931\pi\) | |||||||
\(500\) | −2.89215 | + | 10.7998i | −0.129341 | + | 0.482981i | ||||
\(501\) | −9.56713 | −0.427428 | ||||||||
\(502\) | 13.2898 | − | 13.2898i | 0.593152 | − | 0.593152i | ||||
\(503\) | −15.6201 | − | 7.95885i | −0.696467 | − | 0.354867i | 0.0696479 | − | 0.997572i | \(-0.477812\pi\) |
−0.766114 | + | 0.642704i | \(0.777812\pi\) | |||||||
\(504\) | −1.36999 | − | 0.445138i | −0.0610244 | − | 0.0198280i | ||||
\(505\) | −17.0270 | − | 9.43715i | −0.757691 | − | 0.419948i | ||||
\(506\) | 0.147141 | + | 0.106904i | 0.00654120 | + | 0.00475246i | ||||
\(507\) | −1.64619 | − | 0.838775i | −0.0731098 | − | 0.0372513i | ||||
\(508\) | 0.802457 | + | 5.06651i | 0.0356033 | + | 0.224790i | ||||
\(509\) | 20.1138 | − | 14.6135i | 0.891529 | − | 0.647734i | −0.0447474 | − | 0.998998i | \(-0.514248\pi\) |
0.936276 | + | 0.351265i | \(0.114248\pi\) | |||||||
\(510\) | −2.45377 | − | 8.55580i | −0.108655 | − | 0.378857i | ||||
\(511\) | 1.13040 | + | 1.55586i | 0.0500060 | + | 0.0688274i | ||||
\(512\) | −0.987688 | − | 0.156434i | −0.0436501 | − | 0.00691349i | ||||
\(513\) | −5.47487 | + | 2.78958i | −0.241721 | + | 0.123163i | ||||
\(514\) | −14.8007 | − | 20.3715i | −0.652833 | − | 0.898547i | ||||
\(515\) | −1.01987 | + | 29.2449i | −0.0449407 | + | 1.28868i | ||||
\(516\) | −2.27061 | − | 6.98823i | −0.0999582 | − | 0.307640i | ||||
\(517\) | 9.81663 | − | 1.55480i | 0.431735 | − | 0.0683801i | ||||
\(518\) | −2.98788 | + | 1.52240i | −0.131280 | + | 0.0668905i | ||||
\(519\) | 4.03865 | − | 12.4297i | 0.177277 | − | 0.545603i | ||||
\(520\) | 7.41171 | − | 0.910399i | 0.325025 | − | 0.0399236i | ||||
\(521\) | 37.6812 | 1.65085 | 0.825423 | − | 0.564515i | \(-0.190937\pi\) | ||||
0.825423 | + | 0.564515i | \(0.190937\pi\) | |||||||
\(522\) | 0.289417 | − | 0.289417i | 0.0126674 | − | 0.0126674i | ||||
\(523\) | 13.7247 | − | 26.9362i | 0.600139 | − | 1.17784i | −0.368561 | − | 0.929603i | \(-0.620150\pi\) |
0.968700 | − | 0.248235i | \(-0.0798504\pi\) | |||||||
\(524\) | −3.42540 | − | 4.71466i | −0.149639 | − | 0.205961i | ||||
\(525\) | 6.10769 | − | 3.81731i | 0.266562 | − | 0.166601i | ||||
\(526\) | − | 6.13003i | − | 0.267282i | ||||||
\(527\) | −12.3294 | + | 18.4165i | −0.537075 | + | 0.802236i | ||||
\(528\) | −1.68849 | + | 1.68849i | −0.0734820 | + | 0.0734820i | ||||
\(529\) | −13.5157 | + | 18.6027i | −0.587637 | + | 0.808813i | ||||
\(530\) | −10.3566 | + | 4.82998i | −0.449864 | + | 0.209801i | ||||
\(531\) | 3.57357 | + | 10.9983i | 0.155080 | + | 0.477286i | ||||
\(532\) | 6.25879 | + | 6.25879i | 0.271353 | + | 0.271353i | ||||
\(533\) | 15.1815 | + | 15.1815i | 0.657584 | + | 0.657584i | ||||
\(534\) | 7.57373 | − | 2.46085i | 0.327747 | − | 0.106492i | ||||
\(535\) | 11.2814 | + | 39.3360i | 0.487739 | + | 1.70065i | ||||
\(536\) | −3.48535 | + | 10.7268i | −0.150544 | + | 0.463328i | ||||
\(537\) | −2.63036 | − | 16.6074i | −0.113508 | − | 0.716663i | ||||
\(538\) | −8.16198 | + | 16.0188i | −0.351888 | + | 0.690619i | ||||
\(539\) | −9.51424 | − | 6.91250i | −0.409807 | − | 0.297742i | ||||
\(540\) | 0.764681 | − | 2.10125i | 0.0329066 | − | 0.0904235i | ||||
\(541\) | −0.837027 | + | 2.57611i | −0.0359866 | + | 0.110755i | −0.967436 | − | 0.253115i | \(-0.918545\pi\) |
0.931450 | + | 0.363870i | \(0.118545\pi\) | |||||||
\(542\) | 1.71280 | − | 10.8142i | 0.0735709 | − | 0.464508i | ||||
\(543\) | 0.221746 | − | 1.40005i | 0.00951603 | − | 0.0600818i | ||||
\(544\) | −1.23005 | + | 3.78570i | −0.0527379 | + | 0.162311i | ||||
\(545\) | −18.6023 | + | 8.67547i | −0.796835 | + | 0.371616i | ||||
\(546\) | −3.89184 | − | 2.82759i | −0.166555 | − | 0.121010i | ||||
\(547\) | 9.60360 | − | 18.8481i | 0.410620 | − | 0.805887i | −0.589378 | − | 0.807857i | \(-0.700627\pi\) |
0.999998 | + | 0.00197006i | \(0.000627091\pi\) | |||||||
\(548\) | −0.295228 | − | 1.86400i | −0.0126115 | − | 0.0796261i | ||||
\(549\) | −1.69487 | + | 5.21627i | −0.0723353 | + | 0.222625i | ||||
\(550\) | −1.04171 | − | 11.8939i | −0.0444189 | − | 0.507157i | ||||
\(551\) | −2.39187 | + | 0.777165i | −0.101897 | + | 0.0331084i | ||||
\(552\) | 0.0538576 | + | 0.0538576i | 0.00229233 | + | 0.00229233i | ||||
\(553\) | −12.9016 | − | 12.9016i | −0.548631 | − | 0.548631i | ||||
\(554\) | 5.58261 | + | 17.1815i | 0.237182 | + | 0.729972i | ||||
\(555\) | −2.20013 | − | 4.71760i | −0.0933901 | − | 0.200251i | ||||
\(556\) | 3.50081 | − | 4.81845i | 0.148467 | − | 0.204348i | ||||
\(557\) | −9.81217 | + | 9.81217i | −0.415755 | + | 0.415755i | −0.883738 | − | 0.467983i | \(-0.844981\pi\) |
0.467983 | + | 0.883738i | \(0.344981\pi\) | |||||||
\(558\) | −5.22535 | + | 1.92243i | −0.221207 | + | 0.0813828i | ||||
\(559\) | − | 24.5384i | − | 1.03786i | ||||||
\(560\) | −3.21909 | − | 0.112261i | −0.136031 | − | 0.00474388i | ||||
\(561\) | 5.58691 | + | 7.68972i | 0.235879 | + | 0.324660i | ||||
\(562\) | 6.17052 | − | 12.1103i | 0.260288 | − | 0.510843i | ||||
\(563\) | −25.9259 | + | 25.9259i | −1.09265 | + | 1.09265i | −0.0974028 | + | 0.995245i | \(0.531054\pi\) |
−0.995245 | + | 0.0974028i | \(0.968946\pi\) | |||||||
\(564\) | 4.16226 | 0.175263 | ||||||||
\(565\) | −4.77071 | + | 6.10683i | −0.200705 | + | 0.256916i | ||||
\(566\) | 2.77434 | − | 8.53854i | 0.116614 | − | 0.358902i | ||||
\(567\) | −1.28349 | + | 0.653972i | −0.0539016 | + | 0.0274642i | ||||
\(568\) | 12.9295 | − | 2.04783i | 0.542509 | − | 0.0859250i | ||||
\(569\) | −10.7438 | − | 33.0659i | −0.450402 | − | 1.38620i | −0.876449 | − | 0.481494i | \(-0.840094\pi\) |
0.426047 | − | 0.904701i | \(-0.359906\pi\) | |||||||
\(570\) | −10.0481 | + | 9.37094i | −0.420871 | + | 0.392505i | ||||
\(571\) | 3.91179 | + | 5.38411i | 0.163703 | + | 0.225318i | 0.882986 | − | 0.469399i | \(-0.155529\pi\) |
−0.719283 | + | 0.694717i | \(0.755529\pi\) | |||||||
\(572\) | −7.10524 | + | 3.62030i | −0.297085 | + | 0.151372i | ||||
\(573\) | −9.72520 | − | 1.54032i | −0.406276 | − | 0.0643478i | ||||
\(574\) | −5.44347 | − | 7.49229i | −0.227206 | − | 0.312722i | ||||
\(575\) | −0.379379 | + | 0.0332275i | −0.0158212 | + | 0.00138568i | ||||
\(576\) | −0.809017 | + | 0.587785i | −0.0337090 | + | 0.0244911i | ||||
\(577\) | −0.745694 | − | 4.70812i | −0.0310436 | − | 0.196002i | 0.967293 | − | 0.253663i | \(-0.0816356\pi\) |
−0.998336 | + | 0.0576616i | \(0.981636\pi\) | |||||||
\(578\) | −1.02952 | − | 0.524565i | −0.0428222 | − | 0.0218190i | ||||
\(579\) | −0.983849 | − | 0.714808i | −0.0408874 | − | 0.0297064i | ||||
\(580\) | 0.443667 | − | 0.800487i | 0.0184223 | − | 0.0332384i | ||||
\(581\) | 22.2438 | + | 7.22744i | 0.922827 | + | 0.299845i | ||||
\(582\) | 8.41093 | + | 4.28558i | 0.348644 | + | 0.177643i | ||||
\(583\) | 8.62910 | − | 8.62910i | 0.357381 | − | 0.357381i | ||||
\(584\) | 1.33506 | 0.0552453 | ||||||||
\(585\) | 4.59712 | − | 5.88462i | 0.190067 | − | 0.243299i | ||||
\(586\) | −6.14145 | + | 4.46202i | −0.253701 | + | 0.184325i | ||||
\(587\) | 9.52595 | − | 1.50876i | 0.393178 | − | 0.0622733i | 0.0432846 | − | 0.999063i | \(-0.486218\pi\) |
0.349893 | + | 0.936790i | \(0.386218\pi\) | |||||||
\(588\) | −3.48248 | − | 3.48248i | −0.143615 | − | 0.143615i | ||||
\(589\) | 33.9709 | + | 4.05153i | 1.39975 | + | 0.166940i | ||||
\(590\) | 14.4610 | + | 21.4371i | 0.595348 | + | 0.882550i | ||||
\(591\) | −8.12785 | − | 5.90523i | −0.334335 | − | 0.242909i | ||||
\(592\) | −0.364169 | + | 2.29927i | −0.0149672 | + | 0.0944994i | ||||
\(593\) | −40.5551 | − | 20.6639i | −1.66540 | − | 0.848563i | −0.994231 | − | 0.107257i | \(-0.965793\pi\) |
−0.671167 | − | 0.741306i | \(-0.734207\pi\) | |||||||
\(594\) | 2.38788i | 0.0979760i | ||||||||
\(595\) | −2.44585 | + | 12.5860i | −0.100270 | + | 0.515976i | ||||
\(596\) | −4.05841 | − | 12.4905i | −0.166239 | − | 0.511631i | ||||
\(597\) | −0.0908311 | + | 0.0462808i | −0.00371747 | + | 0.00189415i | ||||
\(598\) | 0.115477 | + | 0.226636i | 0.00472219 | + | 0.00926782i | ||||
\(599\) | −0.332705 | + | 0.457929i | −0.0135940 | + | 0.0187105i | −0.815760 | − | 0.578391i | \(-0.803681\pi\) |
0.802166 | + | 0.597101i | \(0.203681\pi\) | |||||||
\(600\) | 0.348310 | − | 4.98785i | 0.0142197 | − | 0.203628i | ||||
\(601\) | −2.68663 | + | 3.69782i | −0.109590 | + | 0.150837i | −0.860289 | − | 0.509807i | \(-0.829717\pi\) |
0.750699 | + | 0.660644i | \(0.229717\pi\) | |||||||
\(602\) | −1.65579 | + | 10.4543i | −0.0674850 | + | 0.426084i | ||||
\(603\) | 5.12049 | + | 10.0495i | 0.208522 | + | 0.409248i | ||||
\(604\) | 14.2814 | − | 10.3760i | 0.581102 | − | 0.422195i | ||||
\(605\) | −5.00715 | − | 10.7365i | −0.203570 | − | 0.436502i | ||||
\(606\) | 8.27996 | + | 2.69032i | 0.336350 | + | 0.109287i | ||||
\(607\) | 6.94431 | + | 1.09987i | 0.281861 | + | 0.0446424i | 0.295764 | − | 0.955261i | \(-0.404426\pi\) |
−0.0139034 | + | 0.999903i | \(0.504426\pi\) | |||||||
\(608\) | 6.06894 | − | 0.961225i | 0.246128 | − | 0.0389828i | ||||
\(609\) | −0.560734 | + | 0.182194i | −0.0227221 | + | 0.00738286i | ||||
\(610\) | −0.427434 | + | 12.2567i | −0.0173063 | + | 0.496261i | ||||
\(611\) | 13.2197 | + | 4.29533i | 0.534811 | + | 0.173771i | ||||
\(612\) | 1.80712 | + | 3.54667i | 0.0730484 | + | 0.143366i | ||||
\(613\) | −4.44198 | + | 8.71788i | −0.179410 | + | 0.352112i | −0.963145 | − | 0.268984i | \(-0.913312\pi\) |
0.783735 | + | 0.621096i | \(0.213312\pi\) | |||||||
\(614\) | − | 3.57846i | − | 0.144415i | ||||||
\(615\) | 11.9176 | − | 8.03937i | 0.480565 | − | 0.324179i | ||||
\(616\) | 3.27139 | − | 1.06294i | 0.131808 | − | 0.0428270i | ||||
\(617\) | 4.01573 | + | 0.636029i | 0.161667 | + | 0.0256056i | 0.236743 | − | 0.971572i | \(-0.423920\pi\) |
−0.0750761 | + | 0.997178i | \(0.523920\pi\) | |||||||
\(618\) | −2.04720 | − | 12.9255i | −0.0823506 | − | 0.519941i | ||||
\(619\) | 5.62326 | 0.226018 | 0.113009 | − | 0.993594i | \(-0.463951\pi\) | ||||
0.113009 | + | 0.993594i | \(0.463951\pi\) | |||||||
\(620\) | −10.0464 | + | 7.35324i | −0.403473 | + | 0.295313i | ||||
\(621\) | 0.0761662 | 0.00305644 | ||||||||
\(622\) | 0.0918706 | + | 0.580048i | 0.00368368 | + | 0.0232578i | ||||
\(623\) | −11.3302 | − | 1.79452i | −0.453933 | − | 0.0718959i | ||||
\(624\) | −3.17608 | + | 1.03197i | −0.127145 | + | 0.0413119i | ||||
\(625\) | 17.9868 | + | 17.3631i | 0.719471 | + | 0.694522i | ||||
\(626\) | 10.8349i | 0.433051i | ||||||||
\(627\) | 6.66120 | − | 13.0733i | 0.266023 | − | 0.522099i | ||||
\(628\) | 4.41798 | + | 8.67078i | 0.176297 | + | 0.346002i | ||||
\(629\) | 8.81285 | + | 2.86347i | 0.351391 | + | 0.114174i | ||||
\(630\) | −2.35562 | + | 2.19686i | −0.0938502 | + | 0.0875251i | ||||
\(631\) | 27.1341 | − | 8.81640i | 1.08019 | − | 0.350975i | 0.285742 | − | 0.958307i | \(-0.407760\pi\) |
0.794449 | + | 0.607331i | \(0.207760\pi\) | |||||||
\(632\) | −12.5102 | + | 1.98143i | −0.497630 | + | 0.0788169i | ||||
\(633\) | 19.2340 | + | 3.04637i | 0.764485 | + | 0.121082i | ||||
\(634\) | 25.0897 | + | 8.15214i | 0.996440 | + | 0.323763i | ||||
\(635\) | 10.7787 | + | 3.92256i | 0.427741 | + | 0.155662i | ||||
\(636\) | 4.13452 | − | 3.00391i | 0.163944 | − | 0.119113i | ||||
\(637\) | −7.46681 | − | 14.6544i | −0.295846 | − | 0.580630i | ||||
\(638\) | −0.152892 | + | 0.965320i | −0.00605304 | + | 0.0382174i | ||||
\(639\) | 7.69449 | − | 10.5906i | 0.304389 | − | 0.418956i | ||||
\(640\) | −1.37658 | + | 1.76211i | −0.0544140 | + | 0.0696535i | ||||
\(641\) | 11.4142 | − | 15.7103i | 0.450834 | − | 0.620519i | −0.521743 | − | 0.853103i | \(-0.674718\pi\) |
0.972576 | + | 0.232583i | \(0.0747179\pi\) | |||||||
\(642\) | −8.30839 | − | 16.3061i | −0.327906 | − | 0.643551i | ||||
\(643\) | 21.2001 | − | 10.8020i | 0.836049 | − | 0.425988i | 0.0170997 | − | 0.999854i | \(-0.494557\pi\) |
0.818950 | + | 0.573865i | \(0.194557\pi\) | |||||||
\(644\) | −0.0339045 | − | 0.104347i | −0.00133602 | − | 0.00411186i | ||||
\(645\) | −16.1286 | − | 3.13429i | −0.635062 | − | 0.123412i | ||||
\(646\) | − | 24.4587i | − | 0.962313i | ||||||
\(647\) | −8.23598 | − | 4.19644i | −0.323790 | − | 0.164979i | 0.284538 | − | 0.958665i | \(-0.408160\pi\) |
−0.608328 | + | 0.793685i | \(0.708160\pi\) | |||||||
\(648\) | −0.156434 | + | 0.987688i | −0.00614533 | + | 0.0388001i | ||||
\(649\) | −22.3404 | − | 16.2312i | −0.876936 | − | 0.637132i | ||||
\(650\) | 6.25358 | − | 15.4824i | 0.245286 | − | 0.607268i | ||||
\(651\) | 7.96391 | + | 0.949814i | 0.312130 | + | 0.0372261i | ||||
\(652\) | −11.5831 | − | 11.5831i | −0.453630 | − | 0.453630i | ||||
\(653\) | −40.3336 | + | 6.38822i | −1.57838 | + | 0.249990i | −0.883252 | − | 0.468898i | \(-0.844651\pi\) |
−0.695125 | + | 0.718889i | \(0.744651\pi\) | |||||||
\(654\) | 7.42631 | − | 5.39553i | 0.290392 | − | 0.210982i | ||||
\(655\) | −12.9338 | + | 1.58869i | −0.505365 | + | 0.0620753i | ||||
\(656\) | −6.42902 | −0.251011 | ||||||||
\(657\) | 0.944032 | − | 0.944032i | 0.0368302 | − | 0.0368302i | ||||
\(658\) | −5.34223 | − | 2.72200i | −0.208262 | − | 0.106115i | ||||
\(659\) | −13.9606 | − | 4.53609i | −0.543830 | − | 0.176701i | 0.0242029 | − | 0.999707i | \(-0.492295\pi\) |
−0.568032 | + | 0.823006i | \(0.692295\pi\) | |||||||
\(660\) | 1.47200 | + | 5.13256i | 0.0572975 | + | 0.199784i | ||||
\(661\) | −21.7335 | − | 15.7903i | −0.845336 | − | 0.614172i | 0.0785204 | − | 0.996913i | \(-0.474980\pi\) |
−0.923856 | + | 0.382740i | \(0.874980\pi\) | |||||||
\(662\) | −27.8467 | − | 14.1886i | −1.08229 | − | 0.551456i | ||||
\(663\) | 2.07949 | + | 13.1294i | 0.0807608 | + | 0.509904i | ||||
\(664\) | 13.1355 | − | 9.54352i | 0.509757 | − | 0.370360i | ||||
\(665\) | 19.0250 | − | 5.45632i | 0.737760 | − | 0.211587i | ||||
\(666\) | 1.36832 | + | 1.88334i | 0.0530215 | + | 0.0729778i | ||||
\(667\) | 0.0307908 | + | 0.00487678i | 0.00119222 | + | 0.000188830i | ||||
\(668\) | 8.52437 | − | 4.34338i | 0.329818 | − | 0.168051i | ||||
\(669\) | 0.307938 | + | 0.423840i | 0.0119056 | + | 0.0163866i | ||||
\(670\) | 17.2011 | + | 18.4441i | 0.664535 | + | 0.712559i | ||||
\(671\) | −4.04715 | − | 12.4559i | −0.156239 | − | 0.480853i | ||||
\(672\) | 1.42276 | − | 0.225343i | 0.0548842 | − | 0.00869281i | ||||
\(673\) | −7.86699 | + | 4.00843i | −0.303250 | + | 0.154514i | −0.598994 | − | 0.800754i | \(-0.704433\pi\) |
0.295744 | + | 0.955267i | \(0.404433\pi\) | |||||||
\(674\) | −2.12187 | + | 6.53043i | −0.0817312 | + | 0.251543i | ||||
\(675\) | −3.28065 | − | 3.77324i | −0.126272 | − | 0.145232i | ||||
\(676\) | 1.84756 | 0.0710600 | ||||||||
\(677\) | −8.26870 | + | 8.26870i | −0.317792 | + | 0.317792i | −0.847919 | − | 0.530127i | \(-0.822144\pi\) |
0.530127 | + | 0.847919i | \(0.322144\pi\) | |||||||
\(678\) | 1.57336 | − | 3.08790i | 0.0604247 | − | 0.118590i | ||||
\(679\) | −7.99271 | − | 11.0010i | −0.306732 | − | 0.422180i | ||||
\(680\) | 6.07058 | + | 6.50928i | 0.232796 | + | 0.249620i | ||||
\(681\) | − | 8.74054i | − | 0.334938i | ||||||
\(682\) | 7.39628 | − | 11.0479i | 0.283218 | − | 0.423047i | ||||
\(683\) | −10.3427 | + | 10.3427i | −0.395751 | + | 0.395751i | −0.876732 | − | 0.480980i | \(-0.840281\pi\) |
0.480980 | + | 0.876732i | \(0.340281\pi\) | |||||||
\(684\) | 3.61170 | − | 4.97108i | 0.138097 | − | 0.190074i | ||||
\(685\) | −3.96556 | − | 1.44313i | −0.151516 | − | 0.0551392i | ||||
\(686\) | 5.30826 | + | 16.3371i | 0.202670 | + | 0.623755i | ||||
\(687\) | −13.7559 | − | 13.7559i | −0.524821 | − | 0.524821i | ||||
\(688\) | 5.19572 | + | 5.19572i | 0.198085 | + | 0.198085i | ||||
\(689\) | 16.2315 | − | 5.27394i | 0.618371 | − | 0.200921i | ||||
\(690\) | 0.163713 | − | 0.0469523i | 0.00623245 | − | 0.00178744i | ||||
\(691\) | 7.55294 | − | 23.2456i | 0.287327 | − | 0.884303i | −0.698364 | − | 0.715743i | \(-0.746088\pi\) |
0.985691 | − | 0.168560i | \(-0.0539117\pi\) | |||||||
\(692\) | 2.04450 | + | 12.9084i | 0.0777201 | + | 0.490705i | ||||
\(693\) | 1.56161 | − | 3.06483i | 0.0593206 | − | 0.116423i | ||||
\(694\) | −7.29636 | − | 5.30112i | −0.276966 | − | 0.201228i | ||||
\(695\) | −5.62894 | − | 12.0698i | −0.213518 | − | 0.457834i | ||||
\(696\) | −0.126480 | + | 0.389264i | −0.00479420 | + | 0.0147550i | ||||
\(697\) | −4.00329 | + | 25.2758i | −0.151635 | + | 0.957388i | ||||
\(698\) | 0.299956 | − | 1.89385i | 0.0113535 | − | 0.0716833i | ||||
\(699\) | 3.21236 | − | 9.88664i | 0.121503 | − | 0.373947i | ||||
\(700\) | −3.70897 | + | 6.17409i | −0.140186 | + | 0.233358i | ||||
\(701\) | 21.2478 | + | 15.4374i | 0.802517 | + | 0.583063i | 0.911652 | − | 0.410964i | \(-0.134808\pi\) |
−0.109134 | + | 0.994027i | \(0.534808\pi\) | |||||||
\(702\) | −1.51611 | + | 2.97554i | −0.0572220 | + | 0.112305i | ||||
\(703\) | −2.23767 | − | 14.1281i | −0.0843952 | − | 0.532850i | ||||
\(704\) | 0.737896 | − | 2.27101i | 0.0278105 | − | 0.0855920i | ||||
\(705\) | 4.51179 | − | 8.14039i | 0.169924 | − | 0.306585i | ||||
\(706\) | 16.6537 | − | 5.41112i | 0.626771 | − | 0.203650i | ||||
\(707\) | −8.86787 | − | 8.86787i | −0.333510 | − | 0.333510i | ||||
\(708\) | −8.17720 | − | 8.17720i | −0.307318 | − | 0.307318i | ||||
\(709\) | 9.63696 | + | 29.6595i | 0.361923 | + | 1.11389i | 0.951885 | + | 0.306455i | \(0.0991428\pi\) |
−0.589962 | + | 0.807431i | \(0.700857\pi\) | |||||||
\(710\) | 10.0102 | − | 27.5068i | 0.375675 | − | 1.03231i | ||||
\(711\) | −7.44499 | + | 10.2472i | −0.279209 | + | 0.384298i | ||||
\(712\) | −5.63104 | + | 5.63104i | −0.211032 | + | 0.211032i | ||||
\(713\) | −0.352395 | − | 0.235919i | −0.0131973 | − | 0.00883523i | ||||
\(714\) | − | 5.73393i | − | 0.214587i | ||||||
\(715\) | −0.621460 | + | 17.8205i | −0.0232413 | + | 0.666448i | ||||
\(716\) | 9.88327 | + | 13.6032i | 0.369355 | + | 0.508374i | ||||
\(717\) | −5.16187 | + | 10.1307i | −0.192773 | + | 0.378339i | ||||
\(718\) | 5.32602 | − | 5.32602i | 0.198765 | − | 0.198765i | ||||
\(719\) | 3.60738 | 0.134533 | 0.0672664 | − | 0.997735i | \(-0.478572\pi\) | ||||
0.0672664 | + | 0.997735i | \(0.478572\pi\) | |||||||
\(720\) | 0.272613 | + | 2.21939i | 0.0101597 | + | 0.0827117i | ||||
\(721\) | −5.82537 | + | 17.9286i | −0.216948 | + | 0.667698i | ||||
\(722\) | −16.7117 | + | 8.51502i | −0.621944 | + | 0.316896i | ||||
\(723\) | −18.3080 | + | 2.89970i | −0.680881 | + | 0.107841i | ||||
\(724\) | 0.438032 | + | 1.34812i | 0.0162793 | + | 0.0501026i | ||||
\(725\) | −1.08464 | − | 1.73541i | −0.0402824 | − | 0.0644517i | ||||
\(726\) | 3.11410 | + | 4.28618i | 0.115575 | + | 0.159075i | ||||
\(727\) | 18.7648 | − | 9.56116i | 0.695949 | − | 0.354604i | −0.0699625 | − | 0.997550i | \(-0.522288\pi\) |
0.765912 | + | 0.642946i | \(0.222288\pi\) | |||||||
\(728\) | 4.75135 | + | 0.752540i | 0.176097 | + | 0.0278910i | ||||
\(729\) | 0.587785 | + | 0.809017i | 0.0217698 | + | 0.0299636i | ||||
\(730\) | 1.44717 | − | 2.61106i | 0.0535623 | − | 0.0966398i | ||||
\(731\) | 23.6624 | − | 17.1917i | 0.875184 | − | 0.635859i | ||||
\(732\) | −0.857999 | − | 5.41719i | −0.0317125 | − | 0.200225i | ||||
\(733\) | 0.182610 | + | 0.0930444i | 0.00674485 | + | 0.00343667i | 0.457360 | − | 0.889282i | \(-0.348795\pi\) |
−0.450615 | + | 0.892718i | \(0.648795\pi\) | |||||||
\(734\) | −27.8874 | − | 20.2614i | −1.02934 | − | 0.747862i | ||||
\(735\) | −10.5858 | + | 3.03598i | −0.390464 | + | 0.111984i | ||||
\(736\) | −0.0724384 | − | 0.0235367i | −0.00267011 | − | 0.000867572i | ||||
\(737\) | −23.9971 | − | 12.2271i | −0.883944 | − | 0.450392i | ||||
\(738\) | −4.54600 | + | 4.54600i | −0.167341 | + | 0.167341i | ||||
\(739\) | −39.9001 | −1.46775 | −0.733875 | − | 0.679285i | \(-0.762290\pi\) | ||||
−0.733875 | + | 0.679285i | \(0.762290\pi\) | |||||||
\(740\) | 4.10207 | + | 3.20458i | 0.150795 | + | 0.117803i | ||||
\(741\) | 16.6010 | − | 12.0614i | 0.609854 | − | 0.443085i | ||||
\(742\) | −7.27110 | + | 1.15163i | −0.266930 | + | 0.0422776i | ||||
\(743\) | −13.9840 | − | 13.9840i | −0.513022 | − | 0.513022i | 0.402429 | − | 0.915451i | \(-0.368166\pi\) |
−0.915451 | + | 0.402429i | \(0.868166\pi\) | |||||||
\(744\) | 3.78306 | − | 4.08515i | 0.138694 | − | 0.149769i | ||||
\(745\) | −28.8276 | − | 5.60211i | −1.05616 | − | 0.205245i | ||||
\(746\) | −17.2864 | − | 12.5593i | −0.632901 | − | 0.459829i | ||||
\(747\) | 2.53993 | − | 16.0365i | 0.0929313 | − | 0.586745i | ||||
\(748\) | −8.46903 | − | 4.31519i | −0.309659 | − | 0.157779i | ||||
\(749\) | 26.3622i | 0.963255i | ||||||||
\(750\) | −9.37749 | − | 6.08792i | −0.342417 | − | 0.222299i | ||||
\(751\) | −5.13296 | − | 15.7976i | −0.187304 | − | 0.576464i | 0.812676 | − | 0.582716i | \(-0.198010\pi\) |
−0.999980 | + | 0.00625197i | \(0.998010\pi\) | |||||||
\(752\) | −3.70860 | + | 1.88963i | −0.135239 | + | 0.0689077i | ||||
\(753\) | 8.53256 | + | 16.7461i | 0.310944 | + | 0.610262i | ||||
\(754\) | −0.803419 | + | 1.10581i | −0.0292588 | + | 0.0402713i | ||||
\(755\) | −4.81238 | − | 39.1784i | −0.175140 | − | 1.42585i | ||||
\(756\) | 0.846703 | − | 1.16539i | 0.0307943 | − | 0.0423847i | ||||
\(757\) | 6.55385 | − | 41.3794i | 0.238204 | − | 1.50396i | −0.521254 | − | 0.853402i | \(-0.674536\pi\) |
0.759457 | − | 0.650557i | \(-0.225464\pi\) | |||||||
\(758\) | 6.05120 | + | 11.8762i | 0.219790 | + | 0.431362i | ||||
\(759\) | −0.147141 | + | 0.106904i | −0.00534087 | + | 0.00388037i | ||||
\(760\) | 4.69865 | − | 12.9113i | 0.170438 | − | 0.468343i | ||||
\(761\) | −37.7422 | − | 12.2632i | −1.36815 | − | 0.444540i | −0.469396 | − | 0.882988i | \(-0.655528\pi\) |
−0.898757 | + | 0.438448i | \(0.855528\pi\) | |||||||
\(762\) | −5.06651 | − | 0.802457i | −0.183540 | − | 0.0290699i | ||||
\(763\) | −13.0601 | + | 2.06852i | −0.472809 | + | 0.0748855i | ||||
\(764\) | 9.36451 | − | 3.04271i | 0.338796 | − | 0.110081i | ||||
\(765\) | 8.89531 | + | 0.310209i | 0.321611 | + | 0.0112156i | ||||
\(766\) | −30.3828 | − | 9.87198i | −1.09778 | − | 0.356689i | ||||
\(767\) | −17.5328 | − | 34.4101i | −0.633073 | − | 1.24248i | ||||
\(768\) | 0.453990 | − | 0.891007i | 0.0163820 | − | 0.0321514i | ||||
\(769\) | − | 47.4501i | − | 1.71109i | −0.517724 | − | 0.855547i | \(-0.673221\pi\) | ||
0.517724 | − | 0.855547i | \(-0.326779\pi\) | |||||||
\(770\) | 1.46725 | − | 7.55024i | 0.0528759 | − | 0.272092i | ||||
\(771\) | 23.9481 | − | 7.78121i | 0.862470 | − | 0.280233i | ||||
\(772\) | 1.20113 | + | 0.190241i | 0.0432297 | + | 0.00684691i | ||||
\(773\) | −5.82563 | − | 36.7816i | −0.209533 | − | 1.32294i | −0.838241 | − | 0.545300i | \(-0.816416\pi\) |
0.628708 | − | 0.777642i | \(-0.283584\pi\) | |||||||
\(774\) | 7.34786 | 0.264113 | ||||||||
\(775\) | 3.49115 | + | 27.6190i | 0.125406 | + | 0.992106i | ||||
\(776\) | −9.43980 | −0.338869 | ||||||||
\(777\) | −0.524584 | − | 3.31209i | −0.0188193 | − | 0.118821i | ||||
\(778\) | 33.9675 | + | 5.37992i | 1.21779 | + | 0.192880i | ||||
\(779\) | 37.5702 | − | 12.2073i | 1.34609 | − | 0.437372i | ||||
\(780\) | −1.42450 | + | 7.33028i | −0.0510053 | + | 0.262466i | ||||
\(781\) | 31.2589i | 1.11853i | ||||||||
\(782\) | −0.137641 | + | 0.270136i | −0.00492205 | + | 0.00966006i | ||||
\(783\) | 0.185817 | + | 0.364686i | 0.00664055 | + | 0.0130328i | ||||
\(784\) | 4.68392 | + | 1.52190i | 0.167283 | + | 0.0543535i | ||||
\(785\) | 21.7470 | + | 0.758390i | 0.776182 | + | 0.0270681i | ||||
\(786\) | 5.54242 | − | 1.80084i | 0.197691 | − | 0.0642339i | ||||
\(787\) | −34.5388 | + | 5.47041i | −1.23118 | + | 0.194999i | −0.737922 | − | 0.674886i | \(-0.764193\pi\) |
−0.493254 | + | 0.869885i | \(0.664193\pi\) | |||||||
\(788\) | 9.92288 | + | 1.57163i | 0.353488 | + | 0.0559870i | ||||
\(789\) | 5.83000 | + | 1.89428i | 0.207554 | + | 0.0674382i | ||||
\(790\) | −9.68558 | + | 26.6148i | −0.344598 | + | 0.946914i | ||||
\(791\) | −4.03880 | + | 2.93436i | −0.143603 | + | 0.104334i | ||||
\(792\) | −1.08408 | − | 2.12762i | −0.0385210 | − | 0.0756017i | ||||
\(793\) | 2.86531 | − | 18.0909i | 0.101750 | − | 0.642425i | ||||
\(794\) | −13.2376 | + | 18.2199i | −0.469784 | + | 0.646602i | ||||
\(795\) | −1.39320 | − | 11.3423i | −0.0494118 | − | 0.402270i | ||||
\(796\) | 0.0599201 | − | 0.0824729i | 0.00212381 | − | 0.00292318i | ||||
\(797\) | 5.74007 | + | 11.2655i | 0.203324 | + | 0.399045i | 0.970042 | − | 0.242939i | \(-0.0781114\pi\) |
−0.766718 | + | 0.641984i | \(0.778111\pi\) | |||||||
\(798\) | −7.88653 | + | 4.01839i | −0.279180 | + | 0.142249i | ||||
\(799\) | 5.11979 | + | 15.7571i | 0.181125 | + | 0.557446i | ||||
\(800\) | 1.95409 | + | 4.60234i | 0.0690876 | + | 0.162717i | ||||
\(801\) | 7.96349i | 0.281376i | ||||||||
\(802\) | 7.55783 | + | 3.85091i | 0.266876 | + | 0.135980i | ||||
\(803\) | −0.498709 | + | 3.14872i | −0.0175991 | + | 0.111116i | ||||
\(804\) | −9.12478 | − | 6.62954i | −0.321806 | − | 0.233806i | ||||
\(805\) | −0.240830 | − | 0.0468007i | −0.00848813 | − | 0.00164951i | ||||
\(806\) | 16.2310 | − | 9.07076i | 0.571714 | − | 0.319504i | ||||
\(807\) | −12.7126 | − | 12.7126i | −0.447504 | − | 0.447504i | ||||
\(808\) | −8.59888 | + | 1.36193i | −0.302507 | + | 0.0479125i | ||||
\(809\) | 37.1159 | − | 26.9662i | 1.30492 | − | 0.948083i | 0.304933 | − | 0.952374i | \(-0.401366\pi\) |
0.999991 | + | 0.00429085i | \(0.00136582\pi\) | |||||||
\(810\) | 1.76211 | + | 1.37658i | 0.0619143 | + | 0.0483680i | ||||
\(811\) | 42.9404 | 1.50784 | 0.753920 | − | 0.656966i | \(-0.228161\pi\) | ||||
0.753920 | + | 0.656966i | \(0.228161\pi\) | |||||||
\(812\) | 0.416904 | − | 0.416904i | 0.0146305 | − | 0.0146305i | ||||
\(813\) | 9.75561 | + | 4.97073i | 0.342144 | + | 0.174331i | ||||
\(814\) | −5.28676 | − | 1.71777i | −0.185301 | − | 0.0602079i | ||||
\(815\) | −35.2096 | + | 10.0980i | −1.23334 | + | 0.353718i | ||||
\(816\) | −3.22031 | − | 2.33969i | −0.112733 | − | 0.0819056i | ||||
\(817\) | −40.2285 | − | 20.4975i | −1.40742 | − | 0.717116i | ||||
\(818\) | 1.82006 | + | 11.4914i | 0.0636368 | + | 0.401787i | ||||
\(819\) | 3.89184 | − | 2.82759i | 0.135992 | − | 0.0988039i | ||||
\(820\) | −6.96889 | + | 12.5736i | −0.243364 | + | 0.439090i | ||||
\(821\) | 26.4412 | + | 36.3932i | 0.922805 | + | 1.27013i | 0.962601 | + | 0.270924i | \(0.0873293\pi\) |
−0.0397958 | + | 0.999208i | \(0.512671\pi\) | |||||||
\(822\) | 1.86400 | + | 0.295228i | 0.0650144 | + | 0.0102973i | ||||
\(823\) | −19.4787 | + | 9.92488i | −0.678984 | + | 0.345960i | −0.759236 | − | 0.650815i | \(-0.774427\pi\) |
0.0802523 | + | 0.996775i | \(0.474427\pi\) | |||||||
\(824\) | 7.69214 | + | 10.5873i | 0.267969 | + | 0.368827i | ||||
\(825\) | 11.6337 | + | 2.68468i | 0.405032 | + | 0.0934686i | ||||
\(826\) | 5.14772 | + | 15.8430i | 0.179112 | + | 0.551250i | ||||
\(827\) | −10.4071 | + | 1.64833i | −0.361892 | + | 0.0573181i | −0.334733 | − | 0.942313i | \(-0.608646\pi\) |
−0.0271591 | + | 0.999631i | \(0.508646\pi\) | |||||||
\(828\) | −0.0678646 | + | 0.0345787i | −0.00235846 | + | 0.00120169i | ||||
\(829\) | 7.19392 | − | 22.1406i | 0.249855 | − | 0.768975i | −0.744945 | − | 0.667126i | \(-0.767524\pi\) |
0.994800 | − | 0.101849i | \(-0.0324757\pi\) | |||||||
\(830\) | −4.42626 | − | 36.0349i | −0.153638 | − | 1.25079i | ||||
\(831\) | −18.0657 | −0.626692 | ||||||||
\(832\) | 2.36140 | − | 2.36140i | 0.0818669 | − | 0.0818669i | ||||
\(833\) | 8.90000 | − | 17.4672i | 0.308367 | − | 0.605204i | ||||
\(834\) | 3.50081 | + | 4.81845i | 0.121223 | + | 0.166849i | ||||
\(835\) | 0.745584 | − | 21.3797i | 0.0258020 | − | 0.739877i | ||||
\(836\) | 14.6726i | 0.507461i | ||||||||
\(837\) | −0.213614 | − | 5.56367i | −0.00738357 | − | 0.192308i | ||||
\(838\) | 13.8498 | − | 13.8498i | 0.478435 | − | 0.478435i | ||||
\(839\) | −7.78122 | + | 10.7099i | −0.268638 | + | 0.369748i | −0.921929 | − | 0.387358i | \(-0.873388\pi\) |
0.653292 | + | 0.757106i | \(0.273388\pi\) | |||||||
\(840\) | 1.10152 | − | 3.02685i | 0.0380061 | − | 0.104436i | ||||
\(841\) | −8.90973 | − | 27.4213i | −0.307232 | − | 0.945563i | ||||
\(842\) | 21.0138 | + | 21.0138i | 0.724184 | + | 0.724184i | ||||
\(843\) | 9.61081 | + | 9.61081i | 0.331014 | + | 0.331014i | ||||
\(844\) | −18.5207 | + | 6.01773i | −0.637508 | + | 0.207139i | ||||
\(845\) | 2.00271 | − | 3.61339i | 0.0688953 | − | 0.124304i | ||||
\(846\) | −1.28621 | + | 3.95855i | −0.0442208 | + | 0.136098i | ||||
\(847\) | −1.19387 | − | 7.53782i | −0.0410219 | − | 0.259002i | ||||
\(848\) | −2.32014 | + | 4.55353i | −0.0796740 | + | 0.156369i | ||||
\(849\) | 7.26332 | + | 5.27711i | 0.249276 | + | 0.181110i | ||||
\(850\) | 19.3110 | − | 4.81670i | 0.662360 | − | 0.165212i | ||||
\(851\) | −0.0547917 | + | 0.168631i | −0.00187824 | + | 0.00578061i | ||||
\(852\) | −2.04783 | + | 12.9295i | −0.0701574 | + | 0.442957i | ||||
\(853\) | −5.29074 | + | 33.4044i | −0.181151 | + | 1.14374i | 0.714713 | + | 0.699418i | \(0.246557\pi\) |
−0.895865 | + | 0.444327i | \(0.853443\pi\) | |||||||
\(854\) | −2.44146 | + | 7.51403i | −0.0835449 | + | 0.257125i | ||||
\(855\) | −5.80724 | − | 12.4521i | −0.198604 | − | 0.425854i | ||||
\(856\) | 14.8057 | + | 10.7569i | 0.506047 | + | 0.367664i | ||||
\(857\) | −6.02099 | + | 11.8169i | −0.205673 | + | 0.403656i | −0.970683 | − | 0.240362i | \(-0.922734\pi\) |
0.765010 | + | 0.644018i | \(0.222734\pi\) | |||||||
\(858\) | −1.24747 | − | 7.87622i | −0.0425880 | − | 0.268890i | ||||
\(859\) | 1.11400 | − | 3.42853i | 0.0380091 | − | 0.116980i | −0.930252 | − | 0.366922i | \(-0.880412\pi\) |
0.968261 | + | 0.249942i | \(0.0804116\pi\) | |||||||
\(860\) | 15.7936 | − | 4.52955i | 0.538558 | − | 0.154457i | ||||
\(861\) | 8.80772 | − | 2.86180i | 0.300166 | − | 0.0975299i | ||||
\(862\) | 7.12802 | + | 7.12802i | 0.242781 | + | 0.242781i | ||||
\(863\) | 28.3802 | + | 28.3802i | 0.966072 | + | 0.966072i | 0.999443 | − | 0.0333709i | \(-0.0106243\pi\) |
−0.0333709 | + | 0.999443i | \(0.510624\pi\) | |||||||
\(864\) | −0.309017 | − | 0.951057i | −0.0105130 | − | 0.0323556i | ||||
\(865\) | 27.4620 | + | 9.99388i | 0.933736 | + | 0.339802i | ||||
\(866\) | 23.2098 | − | 31.9455i | 0.788700 | − | 1.08555i | ||||
\(867\) | 0.817029 | − | 0.817029i | 0.0277477 | − | 0.0277477i | ||||
\(868\) | −7.52710 | + | 2.76925i | −0.255486 | + | 0.0939944i | ||||
\(869\) | − | 30.2453i | − | 1.02600i | ||||||
\(870\) | 0.624207 | + | 0.669317i | 0.0211626 | + | 0.0226920i | ||||
\(871\) | −22.1395 | − | 30.4724i | −0.750169 | − | 1.03252i | ||||
\(872\) | −4.16737 | + | 8.17893i | −0.141125 | + | 0.276973i | ||||
\(873\) | −6.67495 | + | 6.67495i | −0.225913 | + | 0.225913i | ||||
\(874\) | 0.468010 | 0.0158307 | ||||||||
\(875\) | 8.05460 | + | 13.9464i | 0.272295 | + | 0.471475i | ||||
\(876\) | −0.412557 | + | 1.26972i | −0.0139390 | + | 0.0428999i | ||||
\(877\) | 20.7065 | − | 10.5505i | 0.699207 | − | 0.356264i | −0.0679803 | − | 0.997687i | \(-0.521655\pi\) |
0.767188 | + | 0.641423i | \(0.221655\pi\) | |||||||
\(878\) | 38.7150 | − | 6.13186i | 1.30657 | − | 0.206940i | ||||
\(879\) | −2.34583 | − | 7.21971i | −0.0791227 | − | 0.243515i | ||||
\(880\) | −3.64169 | − | 3.90487i | −0.122761 | − | 0.131633i | ||||
\(881\) | 3.56112 | + | 4.90146i | 0.119977 | + | 0.165134i | 0.864781 | − | 0.502149i | \(-0.167457\pi\) |
−0.744804 | + | 0.667283i | \(0.767457\pi\) | |||||||
\(882\) | 4.38818 | − | 2.23589i | 0.147758 | − | 0.0752863i | ||||
\(883\) | −24.0681 | − | 3.81202i | −0.809957 | − | 0.128285i | −0.262299 | − | 0.964987i | \(-0.584481\pi\) |
−0.547658 | + | 0.836702i | \(0.684481\pi\) | |||||||
\(884\) | −7.81346 | − | 10.7543i | −0.262795 | − | 0.361707i | ||||
\(885\) | −24.8565 | + | 7.12877i | −0.835543 | + | 0.239631i | ||||
\(886\) | −6.50565 | + | 4.72663i | −0.218561 | + | 0.158794i | ||||
\(887\) | −2.36935 | − | 14.9595i | −0.0795549 | − | 0.502290i | −0.995002 | − | 0.0998521i | \(-0.968163\pi\) |
0.915447 | − | 0.402438i | \(-0.131837\pi\) | |||||||
\(888\) | −2.07420 | − | 1.05686i | −0.0696056 | − | 0.0354658i | ||||
\(889\) | 5.97805 | + | 4.34330i | 0.200497 | + | 0.145670i | ||||
\(890\) | 4.90906 | + | 17.1169i | 0.164552 | + | 0.573759i | ||||
\(891\) | −2.27101 | − | 0.737896i | −0.0760817 | − | 0.0247205i | ||||
\(892\) | −0.466794 | − | 0.237843i | −0.0156294 | − | 0.00796358i | ||||
\(893\) | 18.0845 | − | 18.0845i | 0.605176 | − | 0.605176i | ||||
\(894\) | 13.1333 | 0.439243 | ||||||||
\(895\) | 37.3177 | − | 4.58384i | 1.24739 | − | 0.153221i | ||||
\(896\) | −1.16539 | + | 0.846703i | −0.0389328 | + | 0.0282864i | ||||
\(897\) | −0.251227 | + | 0.0397905i | −0.00838824 | + | 0.00132857i | ||||
\(898\) | 20.2010 | + | 20.2010i | 0.674117 | + | 0.674117i | ||||
\(899\) | 0.269876 | − | 2.26283i | 0.00900087 | − | 0.0754697i | ||||
\(900\) | 4.63610 | + | 1.87259i | 0.154537 | + | 0.0624198i | ||||
\(901\) | 16.4575 | + | 11.9571i | 0.548280 | + | 0.398349i | ||||
\(902\) | 2.40154 | − | 15.1627i | 0.0799626 | − | 0.504864i | ||||
\(903\) | −9.43092 | − | 4.80529i | −0.313841 | − | 0.159910i | ||||
\(904\) | 3.46563i | 0.115265i | ||||||||
\(905\) | 3.11142 | + | 0.604646i | 0.103427 | + | 0.0200991i | ||||
\(906\) | 5.45501 | + | 16.7888i | 0.181230 | + | 0.557770i | ||||
\(907\) | 21.2653 | − | 10.8352i | 0.706104 | − | 0.359778i | −0.0637784 | − | 0.997964i | \(-0.520315\pi\) |
0.769882 | + | 0.638186i | \(0.220315\pi\) | |||||||
\(908\) | 3.96812 | + | 7.78787i | 0.131687 | + | 0.258450i | ||||
\(909\) | −5.11730 | + | 7.04335i | −0.169730 | + | 0.233613i | ||||
\(910\) | 6.62213 | − | 8.47677i | 0.219522 | − | 0.281002i | ||||
\(911\) | 7.79341 | − | 10.7267i | 0.258207 | − | 0.355392i | −0.660157 | − | 0.751127i | \(-0.729510\pi\) |
0.918364 | + | 0.395736i | \(0.129510\pi\) | |||||||
\(912\) | −0.961225 | + | 6.06894i | −0.0318293 | + | 0.200963i | ||||
\(913\) | 17.6015 | + | 34.5449i | 0.582525 | + | 1.14327i | ||||
\(914\) | 9.67945 | − | 7.03254i | 0.320168 | − | 0.232616i | ||||
\(915\) | −11.5248 | − | 4.19406i | −0.380997 | − | 0.138651i | ||||
\(916\) | 18.5017 | + | 6.01155i | 0.611312 | + | 0.198627i | ||||
\(917\) | −8.29135 | − | 1.31322i | −0.273804 | − | 0.0433664i | ||||
\(918\) | −3.93151 | + | 0.622691i | −0.129759 | + | 0.0205519i | ||||
\(919\) | −39.1553 | + | 12.7223i | −1.29161 | + | 0.419671i | −0.872656 | − | 0.488336i | \(-0.837604\pi\) |
−0.418957 | + | 0.908006i | \(0.637604\pi\) | |||||||
\(920\) | −0.124553 | + | 0.116159i | −0.00410640 | + | 0.00382965i | ||||
\(921\) | 3.40332 | + | 1.10581i | 0.112143 | + | 0.0364376i | ||||
\(922\) | 4.69872 | + | 9.22175i | 0.154744 | + | 0.303702i | ||||
\(923\) | −19.8469 | + | 38.9517i | −0.653269 | + | 1.28211i | ||||
\(924\) | 3.43974i | 0.113159i | ||||||||
\(925\) | 10.7139 | − | 4.54899i | 0.352272 | − | 0.149570i | ||||
\(926\) | 27.1522 | − | 8.82229i | 0.892277 | − | 0.289918i | ||||
\(927\) | 12.9255 | + | 2.04720i | 0.424530 | + | 0.0672390i | ||||
\(928\) | −0.0640281 | − | 0.404258i | −0.00210183 | − | 0.0132704i | ||||
\(929\) | 33.1058 | 1.08617 | 0.543084 | − | 0.839679i | \(-0.317257\pi\) | ||||
0.543084 | + | 0.839679i | \(0.317257\pi\) | |||||||
\(930\) | −3.88884 | − | 11.8270i | −0.127520 | − | 0.387821i | ||||
\(931\) | −30.2619 | −0.991794 | ||||||||
\(932\) | 1.62620 | + | 10.2674i | 0.0532680 | + | 0.336321i | ||||
\(933\) | −0.580048 | − | 0.0918706i | −0.0189899 | − | 0.00300771i | ||||
\(934\) | 23.6556 | − | 7.68616i | 0.774034 | − | 0.251499i | ||||
\(935\) | −17.6197 | + | 11.8858i | −0.576225 | + | 0.388709i | ||||
\(936\) | − | 3.33953i | − | 0.109156i | ||||||
\(937\) | −4.60489 | + | 9.03761i | −0.150435 | + | 0.295246i | −0.953910 | − | 0.300093i | \(-0.902982\pi\) |
0.803475 | + | 0.595339i | \(0.202982\pi\) | |||||||
\(938\) | 7.37605 | + | 14.4763i | 0.240836 | + | 0.472668i | ||||
\(939\) | −10.3046 | − | 3.34818i | −0.336279 | − | 0.109264i | ||||
\(940\) | −0.324373 | + | 9.30145i | −0.0105799 | + | 0.303380i | ||||
\(941\) | −33.6937 | + | 10.9478i | −1.09838 | + | 0.356887i | −0.801481 | − | 0.598021i | \(-0.795954\pi\) |
−0.296904 | + | 0.954907i | \(0.595954\pi\) | |||||||
\(942\) | −9.61164 | + | 1.52233i | −0.313164 | + | 0.0496003i | ||||
\(943\) | −0.483645 | − | 0.0766019i | −0.0157497 | − | 0.00249450i | ||||
\(944\) | 10.9983 | + | 3.57357i | 0.357965 | + | 0.116310i | ||||
\(945\) | −1.36141 | − | 2.91920i | −0.0442867 | − | 0.0949615i | ||||
\(946\) | −14.1949 | + | 10.3132i | −0.461515 | + | 0.335310i | ||||
\(947\) | 20.4935 | + | 40.2207i | 0.665948 | + | 1.30700i | 0.938641 | + | 0.344896i | \(0.112086\pi\) |
−0.272693 | + | 0.962101i | \(0.587914\pi\) | |||||||
\(948\) | 1.98143 | − | 12.5102i | 0.0643537 | − | 0.406314i | ||||
\(949\) | −2.62063 | + | 3.60698i | −0.0850692 | + | 0.117088i | ||||
\(950\) | −20.1583 | − | 23.1850i | −0.654020 | − | 0.752220i | ||||
\(951\) | −15.5063 | + | 21.3426i | −0.502826 | + | 0.692081i | ||||
\(952\) | 2.60315 | + | 5.10897i | 0.0843685 | + | 0.165583i | ||||
\(953\) | −10.5211 | + | 5.36078i | −0.340812 | + | 0.173653i | −0.616017 | − | 0.787733i | \(-0.711255\pi\) |
0.275204 | + | 0.961386i | \(0.411255\pi\) | |||||||
\(954\) | 1.57925 | + | 4.86042i | 0.0511300 | + | 0.157362i | ||||
\(955\) | 4.20007 | − | 21.6130i | 0.135911 | − | 0.699379i | ||||
\(956\) | − | 11.3700i | − | 0.367732i | ||||||
\(957\) | −0.870828 | − | 0.443709i | −0.0281499 | − | 0.0143431i | ||||
\(958\) | 1.27556 | − | 8.05355i | 0.0412114 | − | 0.260198i | ||||
\(959\) | −2.19936 | − | 1.59793i | −0.0710209 | − | 0.0515997i | ||||
\(960\) | −1.25048 | − | 1.85373i | −0.0403591 | − | 0.0598287i | ||||
\(961\) | −16.2447 | + | 26.4028i | −0.524023 | + | 0.851704i | ||||
\(962\) | −5.49718 | − | 5.49718i | −0.177236 | − | 0.177236i | ||||
\(963\) | 18.0755 | − | 2.86287i | 0.582474 | − | 0.0922548i | ||||
\(964\) | 14.9961 | − | 10.8953i | 0.482992 | − | 0.350914i | ||||
\(965\) | 1.67406 | − | 2.14291i | 0.0538899 | − | 0.0689827i | ||||
\(966\) | 0.109717 | 0.00353009 | ||||||||
\(967\) | −15.2266 | + | 15.2266i | −0.489655 | + | 0.489655i | −0.908197 | − | 0.418542i | \(-0.862541\pi\) |
0.418542 | + | 0.908197i | \(0.362541\pi\) | |||||||
\(968\) | −4.72057 | − | 2.40525i | −0.151725 | − | 0.0773076i | ||||
\(969\) | 23.2616 | + | 7.55814i | 0.747269 | + | 0.242802i | ||||
\(970\) | −10.2325 | + | 18.4620i | −0.328546 | + | 0.592779i | ||||
\(971\) | 18.6116 | + | 13.5221i | 0.597274 | + | 0.433945i | 0.844910 | − | 0.534908i | \(-0.179654\pi\) |
−0.247636 | + | 0.968853i | \(0.579654\pi\) | |||||||
\(972\) | −0.891007 | − | 0.453990i | −0.0285790 | − | 0.0145618i | ||||
\(973\) | −1.34213 | − | 8.47387i | −0.0430267 | − | 0.271660i | ||||
\(974\) | 20.9211 | − | 15.2001i | 0.670356 | − | 0.487042i | ||||
\(975\) | 12.7921 | + | 10.7318i | 0.409677 | + | 0.343693i | ||||
\(976\) | 3.22383 | + | 4.43723i | 0.103192 | + | 0.142032i | ||||
\(977\) | 9.62512 | + | 1.52447i | 0.307935 | + | 0.0487721i | 0.308490 | − | 0.951228i | \(-0.400177\pi\) |
−0.000554554 | 1.00000i | \(0.500177\pi\) | ||||||||
\(978\) | 14.5956 | − | 7.43683i | 0.466716 | − | 0.237803i | ||||
\(979\) | −11.1773 | − | 15.3842i | −0.357227 | − | 0.491680i | ||||
\(980\) | 8.05372 | − | 7.51093i | 0.257267 | − | 0.239928i | ||||
\(981\) | 2.83660 | + | 8.73015i | 0.0905656 | + | 0.278732i | ||||
\(982\) | 29.3593 | − | 4.65005i | 0.936892 | − | 0.148389i | ||||
\(983\) | −47.2435 | + | 24.0718i | −1.50683 | + | 0.767770i | −0.995779 | − | 0.0917784i | \(-0.970745\pi\) |
−0.511054 | + | 0.859548i | \(0.670745\pi\) | |||||||
\(984\) | 1.98668 | − | 6.11436i | 0.0633329 | − | 0.194919i | ||||
\(985\) | 13.8299 | − | 17.7032i | 0.440657 | − | 0.564070i | ||||
\(986\) | −1.62921 | −0.0518848 | ||||||||
\(987\) | 4.23962 | − | 4.23962i | 0.134949 | − | 0.134949i | ||||
\(988\) | −9.31589 | + | 18.2835i | −0.296378 | + | 0.581675i | ||||
\(989\) | 0.328959 | + | 0.452773i | 0.0104603 | + | 0.0143973i | ||||
\(990\) | −5.33622 | − | 0.186092i | −0.169596 | − | 0.00591440i | ||||
\(991\) | − | 21.5052i | − | 0.683137i | −0.939857 | − | 0.341568i | \(-0.889042\pi\) | ||
0.939857 | − | 0.341568i | \(-0.110958\pi\) | |||||||
\(992\) | −1.51611 | + | 5.35737i | −0.0481365 | + | 0.170097i | ||||
\(993\) | 22.0993 | − | 22.0993i | 0.701299 | − | 0.701299i | ||||
\(994\) | 11.0839 | − | 15.2557i | 0.351560 | − | 0.483880i | ||||
\(995\) | −0.0963454 | − | 0.206588i | −0.00305436 | − | 0.00654928i | ||||
\(996\) | 5.01732 | + | 15.4417i | 0.158980 | + | 0.489290i | ||||
\(997\) | −21.3594 | − | 21.3594i | −0.676458 | − | 0.676458i | 0.282739 | − | 0.959197i | \(-0.408757\pi\) |
−0.959197 | + | 0.282739i | \(0.908757\pi\) | |||||||
\(998\) | 6.69085 | + | 6.69085i | 0.211795 | + | 0.211795i | ||||
\(999\) | −2.21399 | + | 0.719370i | −0.0700477 | + | 0.0227599i |
(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 | 930.2.bj.a.277.4 | ✓ | 128 | |
5.3 | odd | 4 | 930.2.bj.b.463.4 | yes | 128 | ||
31.15 | odd | 10 | 930.2.bj.b.697.4 | yes | 128 | ||
155.108 | even | 20 | inner | 930.2.bj.a.883.4 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bj.a.277.4 | ✓ | 128 | 1.1 | even | 1 | trivial | |
930.2.bj.a.883.4 | yes | 128 | 155.108 | even | 20 | inner | |
930.2.bj.b.463.4 | yes | 128 | 5.3 | odd | 4 | ||
930.2.bj.b.697.4 | yes | 128 | 31.15 | odd | 10 |