Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(73,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.73");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 187.4 | ||
Root | \(-0.709944 + 0.925217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 210.187 |
Dual form | 210.2.u.a.73.4 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965926 | − | 0.258819i | 0.683013 | − | 0.183013i | ||||
\(3\) | 0.258819 | − | 0.965926i | 0.149429 | − | 0.557678i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 1.55103 | − | 1.61069i | 0.693640 | − | 0.720322i | ||||
\(6\) | − | 1.00000i | − | 0.408248i | ||||||
\(7\) | −1.38658 | + | 2.25331i | −0.524078 | + | 0.851670i | ||||
\(8\) | 0.707107 | − | 0.707107i | 0.250000 | − | 0.250000i | ||||
\(9\) | −0.866025 | − | 0.500000i | −0.288675 | − | 0.166667i | ||||
\(10\) | 1.08130 | − | 1.95724i | 0.341937 | − | 0.618934i | ||||
\(11\) | 0.582897 | + | 1.00961i | 0.175750 | + | 0.304408i | 0.940421 | − | 0.340013i | \(-0.110432\pi\) |
−0.764670 | + | 0.644422i | \(0.777098\pi\) | |||||||
\(12\) | −0.258819 | − | 0.965926i | −0.0747146 | − | 0.278839i | ||||
\(13\) | −1.92501 | − | 1.92501i | −0.533903 | − | 0.533903i | 0.387829 | − | 0.921731i | \(-0.373225\pi\) |
−0.921731 | + | 0.387829i | \(0.873225\pi\) | |||||||
\(14\) | −0.756134 | + | 2.53540i | −0.202085 | + | 0.677615i | ||||
\(15\) | −1.15437 | − | 1.91505i | −0.298057 | − | 0.494464i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −0.0209315 | − | 0.00560858i | −0.00507664 | − | 0.00136028i | 0.256280 | − | 0.966603i | \(-0.417503\pi\) |
−0.261356 | + | 0.965242i | \(0.584170\pi\) | |||||||
\(18\) | −0.965926 | − | 0.258819i | −0.227671 | − | 0.0610042i | ||||
\(19\) | −0.989363 | + | 1.71363i | −0.226976 | + | 0.393133i | −0.956910 | − | 0.290384i | \(-0.906217\pi\) |
0.729935 | + | 0.683517i | \(0.239550\pi\) | |||||||
\(20\) | 0.537883 | − | 2.17041i | 0.120274 | − | 0.485319i | ||||
\(21\) | 1.81766 | + | 1.92253i | 0.396645 | + | 0.419531i | ||||
\(22\) | 0.824341 | + | 0.824341i | 0.175750 | + | 0.175750i | ||||
\(23\) | 1.85829 | + | 6.93525i | 0.387481 | + | 1.44610i | 0.834219 | + | 0.551434i | \(0.185919\pi\) |
−0.446738 | + | 0.894665i | \(0.647414\pi\) | |||||||
\(24\) | −0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | ||||
\(25\) | −0.188640 | − | 4.99644i | −0.0377280 | − | 0.999288i | ||||
\(26\) | −2.35765 | − | 1.36119i | −0.462373 | − | 0.266951i | ||||
\(27\) | −0.707107 | + | 0.707107i | −0.136083 | + | 0.136083i | ||||
\(28\) | −0.0741591 | + | 2.64471i | −0.0140148 | + | 0.499804i | ||||
\(29\) | 5.60604i | 1.04102i | 0.853857 | + | 0.520508i | \(0.174257\pi\) | ||||
−0.853857 | + | 0.520508i | \(0.825743\pi\) | |||||||
\(30\) | −1.61069 | − | 1.55103i | −0.294070 | − | 0.283177i | ||||
\(31\) | 6.86850 | − | 3.96553i | 1.23362 | − | 0.712231i | 0.265837 | − | 0.964018i | \(-0.414352\pi\) |
0.967783 | + | 0.251787i | \(0.0810183\pi\) | |||||||
\(32\) | 0.258819 | − | 0.965926i | 0.0457532 | − | 0.170753i | ||||
\(33\) | 1.12607 | − | 0.301730i | 0.196024 | − | 0.0525244i | ||||
\(34\) | −0.0216699 | −0.00371636 | ||||||||
\(35\) | 1.47876 | + | 5.72829i | 0.249956 | + | 0.968257i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | −10.2592 | + | 2.74894i | −1.68660 | + | 0.451924i | −0.969509 | − | 0.245054i | \(-0.921194\pi\) |
−0.717093 | + | 0.696978i | \(0.754528\pi\) | |||||||
\(38\) | −0.512132 | + | 1.91130i | −0.0830788 | + | 0.310054i | ||||
\(39\) | −2.35765 | + | 1.36119i | −0.377526 | + | 0.217965i | ||||
\(40\) | −0.0421887 | − | 2.23567i | −0.00667062 | − | 0.353490i | ||||
\(41\) | − | 2.48977i | − | 0.388837i | −0.980919 | − | 0.194418i | \(-0.937718\pi\) | ||
0.980919 | − | 0.194418i | \(-0.0622819\pi\) | |||||||
\(42\) | 2.25331 | + | 1.38658i | 0.347693 | + | 0.213954i | ||||
\(43\) | −7.87756 | + | 7.87756i | −1.20132 | + | 1.20132i | −0.227550 | + | 0.973766i | \(0.573072\pi\) |
−0.973766 | + | 0.227550i | \(0.926928\pi\) | |||||||
\(44\) | 1.00961 | + | 0.582897i | 0.152204 | + | 0.0878751i | ||||
\(45\) | −2.14857 | + | 0.619385i | −0.320290 | + | 0.0923325i | ||||
\(46\) | 3.58995 | + | 6.21797i | 0.529309 | + | 0.916790i | ||||
\(47\) | −1.05773 | − | 3.94750i | −0.154286 | − | 0.575802i | −0.999165 | − | 0.0408457i | \(-0.986995\pi\) |
0.844880 | − | 0.534956i | \(-0.179672\pi\) | |||||||
\(48\) | −0.707107 | − | 0.707107i | −0.102062 | − | 0.102062i | ||||
\(49\) | −3.15479 | − | 6.24878i | −0.450685 | − | 0.892683i | ||||
\(50\) | −1.47539 | − | 4.77737i | −0.208651 | − | 0.675622i | ||||
\(51\) | −0.0108349 | + | 0.0187667i | −0.00151720 | + | 0.00262786i | ||||
\(52\) | −2.62962 | − | 0.704604i | −0.364662 | − | 0.0977110i | ||||
\(53\) | 2.82745 | + | 0.757613i | 0.388380 | + | 0.104066i | 0.447725 | − | 0.894171i | \(-0.352234\pi\) |
−0.0593446 | + | 0.998238i | \(0.518901\pi\) | |||||||
\(54\) | −0.500000 | + | 0.866025i | −0.0680414 | + | 0.117851i | ||||
\(55\) | 2.53025 | + | 0.627061i | 0.341179 | + | 0.0845529i | ||||
\(56\) | 0.612870 | + | 2.57379i | 0.0818981 | + | 0.343937i | ||||
\(57\) | 1.39917 | + | 1.39917i | 0.185325 | + | 0.185325i | ||||
\(58\) | 1.45095 | + | 5.41502i | 0.190519 | + | 0.711027i | ||||
\(59\) | 5.34623 | + | 9.25995i | 0.696020 | + | 1.20554i | 0.969835 | + | 0.243760i | \(0.0783810\pi\) |
−0.273815 | + | 0.961782i | \(0.588286\pi\) | |||||||
\(60\) | −1.95724 | − | 1.08130i | −0.252679 | − | 0.139595i | ||||
\(61\) | −3.15795 | − | 1.82324i | −0.404334 | − | 0.233442i | 0.284018 | − | 0.958819i | \(-0.408332\pi\) |
−0.688352 | + | 0.725376i | \(0.741666\pi\) | |||||||
\(62\) | 5.60811 | − | 5.60811i | 0.712231 | − | 0.712231i | ||||
\(63\) | 2.32747 | − | 1.25813i | 0.293233 | − | 0.158510i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −6.08634 | + | 0.114854i | −0.754918 | + | 0.0142459i | ||||
\(66\) | 1.00961 | − | 0.582897i | 0.124274 | − | 0.0717497i | ||||
\(67\) | 3.76794 | − | 14.0621i | 0.460327 | − | 1.71796i | −0.211608 | − | 0.977355i | \(-0.567870\pi\) |
0.671935 | − | 0.740610i | \(-0.265463\pi\) | |||||||
\(68\) | −0.0209315 | + | 0.00560858i | −0.00253832 | + | 0.000680140i | ||||
\(69\) | 7.17989 | 0.864358 | ||||||||
\(70\) | 2.91096 | + | 5.15037i | 0.347926 | + | 0.615587i | ||||
\(71\) | 7.51848 | 0.892280 | 0.446140 | − | 0.894963i | \(-0.352798\pi\) | ||||
0.446140 | + | 0.894963i | \(0.352798\pi\) | |||||||
\(72\) | −0.965926 | + | 0.258819i | −0.113835 | + | 0.0305021i | ||||
\(73\) | 0.969376 | − | 3.61776i | 0.113457 | − | 0.423427i | −0.885710 | − | 0.464239i | \(-0.846328\pi\) |
0.999167 | + | 0.0408122i | \(0.0129945\pi\) | |||||||
\(74\) | −9.19815 | + | 5.31055i | −1.06926 | + | 0.617339i | ||||
\(75\) | −4.87501 | − | 1.11096i | −0.562918 | − | 0.128283i | ||||
\(76\) | 1.97873i | 0.226976i | ||||||||
\(77\) | −3.08319 | − | 0.0864543i | −0.351362 | − | 0.00985238i | ||||
\(78\) | −1.92501 | + | 1.92501i | −0.217965 | + | 0.217965i | ||||
\(79\) | −1.39464 | − | 0.805197i | −0.156910 | − | 0.0905918i | 0.419489 | − | 0.907760i | \(-0.362209\pi\) |
−0.576399 | + | 0.817169i | \(0.695543\pi\) | |||||||
\(80\) | −0.619385 | − | 2.14857i | −0.0692494 | − | 0.240218i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −0.644400 | − | 2.40493i | −0.0711620 | − | 0.265580i | ||||
\(83\) | −9.74815 | − | 9.74815i | −1.07000 | − | 1.07000i | −0.997358 | − | 0.0726405i | \(-0.976857\pi\) |
−0.0726405 | − | 0.997358i | \(-0.523143\pi\) | |||||||
\(84\) | 2.53540 | + | 0.756134i | 0.276635 | + | 0.0825010i | ||||
\(85\) | −0.0414990 | + | 0.0250151i | −0.00450120 | + | 0.00271327i | ||||
\(86\) | −5.57028 | + | 9.64800i | −0.600658 | + | 1.04037i | ||||
\(87\) | 5.41502 | + | 1.45095i | 0.580551 | + | 0.155558i | ||||
\(88\) | 1.12607 | + | 0.301730i | 0.120040 | + | 0.0321645i | ||||
\(89\) | 1.80255 | − | 3.12211i | 0.191070 | − | 0.330943i | −0.754535 | − | 0.656260i | \(-0.772138\pi\) |
0.945605 | + | 0.325317i | \(0.105471\pi\) | |||||||
\(90\) | −1.91505 | + | 1.15437i | −0.201864 | + | 0.121681i | ||||
\(91\) | 7.00683 | − | 1.66846i | 0.734516 | − | 0.174903i | ||||
\(92\) | 5.07695 | + | 5.07695i | 0.529309 | + | 0.529309i | ||||
\(93\) | −2.05271 | − | 7.66082i | −0.212856 | − | 0.794390i | ||||
\(94\) | −2.04338 | − | 3.53923i | −0.210758 | − | 0.365044i | ||||
\(95\) | 1.22559 | + | 4.25144i | 0.125743 | + | 0.436188i | ||||
\(96\) | −0.866025 | − | 0.500000i | −0.0883883 | − | 0.0510310i | ||||
\(97\) | −0.265501 | + | 0.265501i | −0.0269575 | + | 0.0269575i | −0.720457 | − | 0.693500i | \(-0.756068\pi\) |
0.693500 | + | 0.720457i | \(0.256068\pi\) | |||||||
\(98\) | −4.66460 | − | 5.21934i | −0.471196 | − | 0.527233i | ||||
\(99\) | − | 1.16579i | − | 0.117167i | ||||||
\(100\) | −2.66159 | − | 4.23272i | −0.266159 | − | 0.423272i | ||||
\(101\) | 12.0515 | − | 6.95796i | 1.19917 | − | 0.692343i | 0.238802 | − | 0.971068i | \(-0.423245\pi\) |
0.960371 | + | 0.278725i | \(0.0899119\pi\) | |||||||
\(102\) | −0.00560858 | + | 0.0209315i | −0.000555332 | + | 0.00207253i | ||||
\(103\) | −11.5757 | + | 3.10171i | −1.14059 | + | 0.305621i | −0.779189 | − | 0.626789i | \(-0.784369\pi\) |
−0.361403 | + | 0.932410i | \(0.617702\pi\) | |||||||
\(104\) | −2.72238 | −0.266951 | ||||||||
\(105\) | 5.91583 | + | 0.0542182i | 0.577326 | + | 0.00529116i | ||||
\(106\) | 2.92719 | 0.284314 | ||||||||
\(107\) | −6.67031 | + | 1.78730i | −0.644843 | + | 0.172785i | −0.566396 | − | 0.824133i | \(-0.691663\pi\) |
−0.0784469 | + | 0.996918i | \(0.524996\pi\) | |||||||
\(108\) | −0.258819 | + | 0.965926i | −0.0249049 | + | 0.0929463i | ||||
\(109\) | −0.499969 | + | 0.288657i | −0.0478883 | + | 0.0276483i | −0.523753 | − | 0.851870i | \(-0.675469\pi\) |
0.475865 | + | 0.879519i | \(0.342135\pi\) | |||||||
\(110\) | 2.60633 | − | 0.0491834i | 0.248504 | − | 0.00468945i | ||||
\(111\) | 10.6211i | 1.00811i | ||||||||
\(112\) | 1.25813 | + | 2.32747i | 0.118882 | + | 0.219925i | ||||
\(113\) | 13.2689 | − | 13.2689i | 1.24823 | − | 1.24823i | 0.291728 | − | 0.956501i | \(-0.405770\pi\) |
0.956501 | − | 0.291728i | \(-0.0942301\pi\) | |||||||
\(114\) | 1.71363 | + | 0.989363i | 0.160496 | + | 0.0926624i | ||||
\(115\) | 14.0528 | + | 7.76361i | 1.31043 | + | 0.723960i | ||||
\(116\) | 2.80302 | + | 4.85498i | 0.260254 | + | 0.450773i | ||||
\(117\) | 0.704604 | + | 2.62962i | 0.0651406 | + | 0.243108i | ||||
\(118\) | 7.56072 | + | 7.56072i | 0.696020 | + | 0.696020i | ||||
\(119\) | 0.0416611 | − | 0.0393884i | 0.00381906 | − | 0.00361073i | ||||
\(120\) | −2.17041 | − | 0.537883i | −0.198130 | − | 0.0491018i | ||||
\(121\) | 4.82046 | − | 8.34928i | 0.438224 | − | 0.759026i | ||||
\(122\) | −3.52224 | − | 0.943781i | −0.318888 | − | 0.0854459i | ||||
\(123\) | −2.40493 | − | 0.644400i | −0.216845 | − | 0.0581036i | ||||
\(124\) | 3.96553 | − | 6.86850i | 0.356115 | − | 0.616810i | ||||
\(125\) | −8.34030 | − | 7.44577i | −0.745979 | − | 0.665969i | ||||
\(126\) | 1.92253 | − | 1.81766i | 0.171273 | − | 0.161930i | ||||
\(127\) | 1.36110 | + | 1.36110i | 0.120778 | + | 0.120778i | 0.764912 | − | 0.644134i | \(-0.222782\pi\) |
−0.644134 | + | 0.764912i | \(0.722782\pi\) | |||||||
\(128\) | −0.258819 | − | 0.965926i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | 5.57028 | + | 9.64800i | 0.490435 | + | 0.849459i | ||||
\(130\) | −5.84923 | + | 1.68620i | −0.513011 | + | 0.147890i | ||||
\(131\) | −14.8522 | − | 8.57489i | −1.29764 | − | 0.749192i | −0.317643 | − | 0.948210i | \(-0.602891\pi\) |
−0.979996 | + | 0.199019i | \(0.936225\pi\) | |||||||
\(132\) | 0.824341 | − | 0.824341i | 0.0717497 | − | 0.0717497i | ||||
\(133\) | −2.48950 | − | 4.60542i | −0.215867 | − | 0.399341i | ||||
\(134\) | − | 14.5582i | − | 1.25764i | ||||||
\(135\) | 0.0421887 | + | 2.23567i | 0.00363103 | + | 0.192416i | ||||
\(136\) | −0.0187667 | + | 0.0108349i | −0.00160923 | + | 0.000929089i | ||||
\(137\) | 2.64921 | − | 9.88699i | 0.226337 | − | 0.844702i | −0.755527 | − | 0.655117i | \(-0.772619\pi\) |
0.981864 | − | 0.189585i | \(-0.0607142\pi\) | |||||||
\(138\) | 6.93525 | − | 1.85829i | 0.590367 | − | 0.158188i | ||||
\(139\) | 5.65119 | 0.479327 | 0.239664 | − | 0.970856i | \(-0.422963\pi\) | ||||
0.239664 | + | 0.970856i | \(0.422963\pi\) | |||||||
\(140\) | 4.14479 | + | 4.22146i | 0.350298 | + | 0.356779i | ||||
\(141\) | −4.08675 | −0.344166 | ||||||||
\(142\) | 7.26230 | − | 1.94593i | 0.609439 | − | 0.163299i | ||||
\(143\) | 0.821423 | − | 3.06559i | 0.0686909 | − | 0.256358i | ||||
\(144\) | −0.866025 | + | 0.500000i | −0.0721688 | + | 0.0416667i | ||||
\(145\) | 9.02960 | + | 8.69512i | 0.749867 | + | 0.722090i | ||||
\(146\) | − | 3.74538i | − | 0.309970i | ||||||
\(147\) | −6.85238 | + | 1.42999i | −0.565175 | + | 0.117944i | ||||
\(148\) | −7.51026 | + | 7.51026i | −0.617339 | + | 0.617339i | ||||
\(149\) | 0.191221 | + | 0.110402i | 0.0156655 | + | 0.00904446i | 0.507812 | − | 0.861468i | \(-0.330454\pi\) |
−0.492147 | + | 0.870512i | \(0.663788\pi\) | |||||||
\(150\) | −4.99644 | + | 0.188640i | −0.407958 | + | 0.0154024i | ||||
\(151\) | 3.18442 | + | 5.51559i | 0.259145 | + | 0.448852i | 0.966013 | − | 0.258493i | \(-0.0832260\pi\) |
−0.706868 | + | 0.707345i | \(0.749893\pi\) | |||||||
\(152\) | 0.512132 | + | 1.91130i | 0.0415394 | + | 0.155027i | ||||
\(153\) | 0.0153229 | + | 0.0153229i | 0.00123879 | + | 0.00123879i | ||||
\(154\) | −3.00051 | + | 0.714480i | −0.241788 | + | 0.0575745i | ||||
\(155\) | 4.26598 | − | 17.2137i | 0.342652 | − | 1.38264i | ||||
\(156\) | −1.36119 | + | 2.35765i | −0.108982 | + | 0.188763i | ||||
\(157\) | −13.9830 | − | 3.74673i | −1.11596 | − | 0.299022i | −0.346715 | − | 0.937970i | \(-0.612703\pi\) |
−0.769249 | + | 0.638949i | \(0.779370\pi\) | |||||||
\(158\) | −1.55552 | − | 0.416801i | −0.123751 | − | 0.0331589i | ||||
\(159\) | 1.46360 | − | 2.53502i | 0.116071 | − | 0.201040i | ||||
\(160\) | −1.15437 | − | 1.91505i | −0.0912611 | − | 0.151398i | ||||
\(161\) | −18.2039 | − | 5.42896i | −1.43467 | − | 0.427862i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | 5.66960 | + | 21.1592i | 0.444078 | + | 1.65732i | 0.718360 | + | 0.695671i | \(0.244893\pi\) |
−0.274283 | + | 0.961649i | \(0.588440\pi\) | |||||||
\(164\) | −1.24488 | − | 2.15620i | −0.0972091 | − | 0.168371i | ||||
\(165\) | 1.26057 | − | 2.28174i | 0.0981354 | − | 0.177633i | ||||
\(166\) | −11.9390 | − | 6.89298i | −0.926646 | − | 0.534999i | ||||
\(167\) | −11.3917 | + | 11.3917i | −0.881515 | + | 0.881515i | −0.993689 | − | 0.112174i | \(-0.964219\pi\) |
0.112174 | + | 0.993689i | \(0.464219\pi\) | |||||||
\(168\) | 2.64471 | + | 0.0741591i | 0.204044 | + | 0.00572150i | ||||
\(169\) | − | 5.58865i | − | 0.429896i | ||||||
\(170\) | −0.0336106 | + | 0.0349035i | −0.00257781 | + | 0.00267697i | ||||
\(171\) | 1.71363 | − | 0.989363i | 0.131044 | − | 0.0756585i | ||||
\(172\) | −2.88339 | + | 10.7609i | −0.219856 | + | 0.820515i | ||||
\(173\) | 10.0874 | − | 2.70291i | 0.766932 | − | 0.205499i | 0.145916 | − | 0.989297i | \(-0.453387\pi\) |
0.621016 | + | 0.783798i | \(0.286720\pi\) | |||||||
\(174\) | 5.60604 | 0.424993 | ||||||||
\(175\) | 11.5201 | + | 6.50290i | 0.870836 | + | 0.491573i | ||||
\(176\) | 1.16579 | 0.0878751 | ||||||||
\(177\) | 10.3281 | − | 2.76741i | 0.776310 | − | 0.208012i | ||||
\(178\) | 0.933068 | − | 3.48226i | 0.0699364 | − | 0.261006i | ||||
\(179\) | 1.30513 | − | 0.753516i | 0.0975498 | − | 0.0563204i | −0.450431 | − | 0.892811i | \(-0.648730\pi\) |
0.547981 | + | 0.836491i | \(0.315397\pi\) | |||||||
\(180\) | −1.55103 | + | 1.61069i | −0.115607 | + | 0.120054i | ||||
\(181\) | 21.3457i | 1.58662i | 0.608821 | + | 0.793308i | \(0.291643\pi\) | ||||
−0.608821 | + | 0.793308i | \(0.708357\pi\) | |||||||
\(182\) | 6.33625 | − | 3.42511i | 0.469674 | − | 0.253886i | ||||
\(183\) | −2.57846 | + | 2.57846i | −0.190605 | + | 0.190605i | ||||
\(184\) | 6.21797 | + | 3.58995i | 0.458395 | + | 0.264654i | ||||
\(185\) | −11.4846 | + | 20.7881i | −0.844364 | + | 1.52837i | ||||
\(186\) | −3.96553 | − | 6.86850i | −0.290767 | − | 0.503623i | ||||
\(187\) | −0.00653845 | − | 0.0244018i | −0.000478139 | − | 0.00178444i | ||||
\(188\) | −2.88977 | − | 2.88977i | −0.210758 | − | 0.210758i | ||||
\(189\) | −0.612870 | − | 2.57379i | −0.0445797 | − | 0.187216i | ||||
\(190\) | 2.28419 | + | 3.78937i | 0.165712 | + | 0.274909i | ||||
\(191\) | −3.22543 | + | 5.58661i | −0.233384 | + | 0.404233i | −0.958802 | − | 0.284076i | \(-0.908313\pi\) |
0.725418 | + | 0.688309i | \(0.241647\pi\) | |||||||
\(192\) | −0.965926 | − | 0.258819i | −0.0697097 | − | 0.0186787i | ||||
\(193\) | 4.96349 | + | 1.32996i | 0.357280 | + | 0.0957328i | 0.432994 | − | 0.901397i | \(-0.357457\pi\) |
−0.0757145 | + | 0.997130i | \(0.524124\pi\) | |||||||
\(194\) | −0.187737 | + | 0.325171i | −0.0134788 | + | 0.0233459i | ||||
\(195\) | −1.46432 | + | 5.90868i | −0.104862 | + | 0.423129i | ||||
\(196\) | −5.85652 | − | 3.83421i | −0.418323 | − | 0.273872i | ||||
\(197\) | 17.8347 | + | 17.8347i | 1.27067 | + | 1.27067i | 0.945738 | + | 0.324931i | \(0.105341\pi\) |
0.324931 | + | 0.945738i | \(0.394659\pi\) | |||||||
\(198\) | −0.301730 | − | 1.12607i | −0.0214430 | − | 0.0800264i | ||||
\(199\) | −2.47098 | − | 4.27987i | −0.175163 | − | 0.303392i | 0.765054 | − | 0.643966i | \(-0.222712\pi\) |
−0.940218 | + | 0.340574i | \(0.889379\pi\) | |||||||
\(200\) | −3.66641 | − | 3.39963i | −0.259254 | − | 0.240390i | ||||
\(201\) | −12.6078 | − | 7.27910i | −0.889284 | − | 0.513428i | ||||
\(202\) | 9.84004 | − | 9.84004i | 0.692343 | − | 0.692343i | ||||
\(203\) | −12.6321 | − | 7.77323i | −0.886603 | − | 0.545574i | ||||
\(204\) | 0.0216699i | 0.00151720i | ||||||||
\(205\) | −4.01024 | − | 3.86169i | −0.280088 | − | 0.269712i | ||||
\(206\) | −10.3785 | + | 5.99204i | −0.723106 | + | 0.417485i | ||||
\(207\) | 1.85829 | − | 6.93525i | 0.129160 | − | 0.482033i | ||||
\(208\) | −2.62962 | + | 0.704604i | −0.182331 | + | 0.0488555i | ||||
\(209\) | −2.30679 | −0.159564 | ||||||||
\(210\) | 5.72829 | − | 1.47876i | 0.395289 | − | 0.102044i | ||||
\(211\) | −19.0455 | −1.31115 | −0.655574 | − | 0.755131i | \(-0.727573\pi\) | ||||
−0.655574 | + | 0.755131i | \(0.727573\pi\) | |||||||
\(212\) | 2.82745 | − | 0.757613i | 0.194190 | − | 0.0520331i | ||||
\(213\) | 1.94593 | − | 7.26230i | 0.133333 | − | 0.497604i | ||||
\(214\) | −5.98043 | + | 3.45281i | −0.408814 | + | 0.236029i | ||||
\(215\) | 0.470006 | + | 24.9066i | 0.0320541 | + | 1.69862i | ||||
\(216\) | 1.00000i | 0.0680414i | ||||||||
\(217\) | −0.588161 | + | 20.9754i | −0.0399270 | + | 1.42390i | ||||
\(218\) | −0.408223 | + | 0.408223i | −0.0276483 | + | 0.0276483i | ||||
\(219\) | −3.24360 | − | 1.87269i | −0.219182 | − | 0.126545i | ||||
\(220\) | 2.50479 | − | 0.722076i | 0.168873 | − | 0.0486824i | ||||
\(221\) | 0.0294968 | + | 0.0510900i | 0.00198417 | + | 0.00343669i | ||||
\(222\) | 2.74894 | + | 10.2592i | 0.184497 | + | 0.688553i | ||||
\(223\) | 2.94490 | + | 2.94490i | 0.197205 | + | 0.197205i | 0.798801 | − | 0.601596i | \(-0.205468\pi\) |
−0.601596 | + | 0.798801i | \(0.705468\pi\) | |||||||
\(224\) | 1.81766 | + | 1.92253i | 0.121447 | + | 0.128455i | ||||
\(225\) | −2.33485 | + | 4.42136i | −0.155657 | + | 0.294758i | ||||
\(226\) | 9.38250 | − | 16.2510i | 0.624115 | − | 1.08100i | ||||
\(227\) | −17.8106 | − | 4.77234i | −1.18213 | − | 0.316751i | −0.386360 | − | 0.922348i | \(-0.626268\pi\) |
−0.795772 | + | 0.605597i | \(0.792935\pi\) | |||||||
\(228\) | 1.91130 | + | 0.512132i | 0.126579 | + | 0.0339168i | ||||
\(229\) | −2.95505 | + | 5.11830i | −0.195276 | + | 0.338227i | −0.946991 | − | 0.321261i | \(-0.895893\pi\) |
0.751715 | + | 0.659488i | \(0.229227\pi\) | |||||||
\(230\) | 15.5833 | + | 3.86194i | 1.02753 | + | 0.254649i | ||||
\(231\) | −0.881497 | + | 2.95576i | −0.0579983 | + | 0.194475i | ||||
\(232\) | 3.96407 | + | 3.96407i | 0.260254 | + | 0.260254i | ||||
\(233\) | 1.87264 | + | 6.98879i | 0.122681 | + | 0.457851i | 0.999746 | − | 0.0225196i | \(-0.00716882\pi\) |
−0.877066 | + | 0.480371i | \(0.840502\pi\) | |||||||
\(234\) | 1.36119 | + | 2.35765i | 0.0889838 | + | 0.154124i | ||||
\(235\) | −7.99876 | − | 4.41900i | −0.521781 | − | 0.288264i | ||||
\(236\) | 9.25995 | + | 5.34623i | 0.602771 | + | 0.348010i | ||||
\(237\) | −1.13872 | + | 1.13872i | −0.0739679 | + | 0.0739679i | ||||
\(238\) | 0.0300470 | − | 0.0488289i | 0.00194766 | − | 0.00316511i | ||||
\(239\) | − | 4.20172i | − | 0.271787i | −0.990723 | − | 0.135893i | \(-0.956610\pi\) | ||
0.990723 | − | 0.135893i | \(-0.0433904\pi\) | |||||||
\(240\) | −2.23567 | + | 0.0421887i | −0.144312 | + | 0.00272327i | ||||
\(241\) | −18.9970 | + | 10.9679i | −1.22371 | + | 0.706507i | −0.965706 | − | 0.259638i | \(-0.916397\pi\) |
−0.258000 | + | 0.966145i | \(0.583064\pi\) | |||||||
\(242\) | 2.49525 | − | 9.31242i | 0.160401 | − | 0.598625i | ||||
\(243\) | 0.965926 | − | 0.258819i | 0.0619642 | − | 0.0166032i | ||||
\(244\) | −3.64649 | −0.233442 | ||||||||
\(245\) | −14.9580 | − | 4.61063i | −0.955632 | − | 0.294562i | ||||
\(246\) | −2.48977 | −0.158742 | ||||||||
\(247\) | 5.20329 | − | 1.39422i | 0.331078 | − | 0.0887120i | ||||
\(248\) | 2.05271 | − | 7.66082i | 0.130347 | − | 0.486463i | ||||
\(249\) | −11.9390 | + | 6.89298i | −0.756603 | + | 0.436825i | ||||
\(250\) | −9.98322 | − | 5.03343i | −0.631394 | − | 0.318342i | ||||
\(251\) | − | 15.1293i | − | 0.954952i | −0.878645 | − | 0.477476i | \(-0.841552\pi\) | ||
0.878645 | − | 0.477476i | \(-0.158448\pi\) | |||||||
\(252\) | 1.38658 | − | 2.25331i | 0.0873463 | − | 0.141945i | ||||
\(253\) | −5.91868 | + | 5.91868i | −0.372105 | + | 0.372105i | ||||
\(254\) | 1.66700 | + | 0.962442i | 0.104597 | + | 0.0603890i | ||||
\(255\) | 0.0134220 | + | 0.0465593i | 0.000840519 | + | 0.00291566i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 5.95653 | + | 22.2301i | 0.371558 | + | 1.38667i | 0.858309 | + | 0.513133i | \(0.171515\pi\) |
−0.486751 | + | 0.873541i | \(0.661818\pi\) | |||||||
\(258\) | 7.87756 | + | 7.87756i | 0.490435 | + | 0.490435i | ||||
\(259\) | 8.03098 | − | 26.9288i | 0.499021 | − | 1.67327i | ||||
\(260\) | −5.21350 | + | 3.14264i | −0.323328 | + | 0.194898i | ||||
\(261\) | 2.80302 | − | 4.85498i | 0.173503 | − | 0.300516i | ||||
\(262\) | −16.5654 | − | 4.43869i | −1.02342 | − | 0.274223i | ||||
\(263\) | 19.4349 | + | 5.20756i | 1.19841 | + | 0.321112i | 0.802203 | − | 0.597051i | \(-0.203661\pi\) |
0.396203 | + | 0.918163i | \(0.370328\pi\) | |||||||
\(264\) | 0.582897 | − | 1.00961i | 0.0358749 | − | 0.0621371i | ||||
\(265\) | 5.60573 | − | 3.37907i | 0.344357 | − | 0.207574i | ||||
\(266\) | −3.59664 | − | 3.80417i | −0.220524 | − | 0.233248i | ||||
\(267\) | −2.54919 | − | 2.54919i | −0.156008 | − | 0.156008i | ||||
\(268\) | −3.76794 | − | 14.0621i | −0.230164 | − | 0.858982i | ||||
\(269\) | 4.63479 | + | 8.02770i | 0.282588 | + | 0.489457i | 0.972021 | − | 0.234892i | \(-0.0754736\pi\) |
−0.689433 | + | 0.724349i | \(0.742140\pi\) | |||||||
\(270\) | 0.619385 | + | 2.14857i | 0.0376946 | + | 0.130758i | ||||
\(271\) | 22.7157 | + | 13.1149i | 1.37988 | + | 0.796673i | 0.992144 | − | 0.125098i | \(-0.0399244\pi\) |
0.387734 | + | 0.921771i | \(0.373258\pi\) | |||||||
\(272\) | −0.0153229 | + | 0.0153229i | −0.000929089 | + | 0.000929089i | ||||
\(273\) | 0.201889 | − | 7.19991i | 0.0122189 | − | 0.435758i | ||||
\(274\) | − | 10.2358i | − | 0.618365i | ||||||
\(275\) | 4.93449 | − | 3.10286i | 0.297561 | − | 0.187110i | ||||
\(276\) | 6.21797 | − | 3.58995i | 0.374278 | − | 0.216089i | ||||
\(277\) | 3.44216 | − | 12.8463i | 0.206819 | − | 0.771860i | −0.782068 | − | 0.623193i | \(-0.785835\pi\) |
0.988887 | − | 0.148667i | \(-0.0474982\pi\) | |||||||
\(278\) | 5.45863 | − | 1.46263i | 0.327387 | − | 0.0877230i | ||||
\(279\) | −7.93107 | −0.474821 | ||||||||
\(280\) | 5.09615 | + | 3.00487i | 0.304553 | + | 0.179575i | ||||
\(281\) | −13.5101 | −0.805944 | −0.402972 | − | 0.915212i | \(-0.632023\pi\) | ||||
−0.402972 | + | 0.915212i | \(0.632023\pi\) | |||||||
\(282\) | −3.94750 | + | 1.05773i | −0.235070 | + | 0.0629868i | ||||
\(283\) | 5.14819 | − | 19.2133i | 0.306028 | − | 1.14211i | −0.626028 | − | 0.779800i | \(-0.715321\pi\) |
0.932057 | − | 0.362313i | \(-0.118013\pi\) | |||||||
\(284\) | 6.51120 | − | 3.75924i | 0.386369 | − | 0.223070i | ||||
\(285\) | 4.42378 | − | 0.0834800i | 0.262042 | − | 0.00494493i | ||||
\(286\) | − | 3.17374i | − | 0.187667i | ||||||
\(287\) | 5.61022 | + | 3.45226i | 0.331161 | + | 0.203781i | ||||
\(288\) | −0.707107 | + | 0.707107i | −0.0416667 | + | 0.0416667i | ||||
\(289\) | −14.7220 | − | 8.49977i | −0.866001 | − | 0.499986i | ||||
\(290\) | 10.9724 | + | 6.06181i | 0.644320 | + | 0.355962i | ||||
\(291\) | 0.187737 | + | 0.325171i | 0.0110054 | + | 0.0190618i | ||||
\(292\) | −0.969376 | − | 3.61776i | −0.0567284 | − | 0.211713i | ||||
\(293\) | 17.4044 | + | 17.4044i | 1.01677 | + | 1.01677i | 0.999857 | + | 0.0169176i | \(0.00538531\pi\) |
0.0169176 | + | 0.999857i | \(0.494615\pi\) | |||||||
\(294\) | −6.24878 | + | 3.15479i | −0.364436 | + | 0.183991i | ||||
\(295\) | 23.2070 | + | 5.75129i | 1.35117 | + | 0.334853i | ||||
\(296\) | −5.31055 | + | 9.19815i | −0.308670 | + | 0.534632i | ||||
\(297\) | −1.12607 | − | 0.301730i | −0.0653413 | − | 0.0175081i | ||||
\(298\) | 0.213280 | + | 0.0571481i | 0.0123550 | + | 0.00331050i | ||||
\(299\) | 9.77320 | − | 16.9277i | 0.565199 | − | 0.978953i | ||||
\(300\) | −4.77737 | + | 1.47539i | −0.275821 | + | 0.0851815i | ||||
\(301\) | −6.82771 | − | 28.6734i | −0.393542 | − | 1.65271i | ||||
\(302\) | 4.50346 | + | 4.50346i | 0.259145 | + | 0.259145i | ||||
\(303\) | −3.60170 | − | 13.4417i | −0.206913 | − | 0.772208i | ||||
\(304\) | 0.989363 | + | 1.71363i | 0.0567439 | + | 0.0982833i | ||||
\(305\) | −7.83474 | + | 2.25858i | −0.448616 | + | 0.129326i | ||||
\(306\) | 0.0187667 | + | 0.0108349i | 0.00107282 | + | 0.000619393i | ||||
\(307\) | −0.566349 | + | 0.566349i | −0.0323232 | + | 0.0323232i | −0.723084 | − | 0.690760i | \(-0.757276\pi\) |
0.690760 | + | 0.723084i | \(0.257276\pi\) | |||||||
\(308\) | −2.71335 | + | 1.46672i | −0.154607 | + | 0.0835744i | ||||
\(309\) | 11.9841i | 0.681751i | ||||||||
\(310\) | −0.334602 | − | 17.7312i | −0.0190041 | − | 1.00707i | ||||
\(311\) | 11.6023 | − | 6.69862i | 0.657909 | − | 0.379844i | −0.133571 | − | 0.991039i | \(-0.542644\pi\) |
0.791480 | + | 0.611196i | \(0.209311\pi\) | |||||||
\(312\) | −0.704604 | + | 2.62962i | −0.0398903 | + | 0.148873i | ||||
\(313\) | 27.7781 | − | 7.44312i | 1.57011 | − | 0.420710i | 0.634263 | − | 0.773117i | \(-0.281303\pi\) |
0.935847 | + | 0.352407i | \(0.114637\pi\) | |||||||
\(314\) | −14.4763 | −0.816943 | ||||||||
\(315\) | 1.58350 | − | 5.70022i | 0.0892202 | − | 0.321171i | ||||
\(316\) | −1.61039 | −0.0905918 | ||||||||
\(317\) | 32.5854 | − | 8.73124i | 1.83018 | − | 0.490395i | 0.832232 | − | 0.554427i | \(-0.187062\pi\) |
0.997948 | + | 0.0640314i | \(0.0203958\pi\) | |||||||
\(318\) | 0.757613 | − | 2.82745i | 0.0424848 | − | 0.158556i | ||||
\(319\) | −5.65991 | + | 3.26775i | −0.316894 | + | 0.182959i | ||||
\(320\) | −1.61069 | − | 1.55103i | −0.0900403 | − | 0.0867050i | ||||
\(321\) | 6.90561i | 0.385434i | ||||||||
\(322\) | −18.9888 | − | 0.532455i | −1.05820 | − | 0.0296725i | ||||
\(323\) | 0.0303199 | − | 0.0303199i | 0.00168704 | − | 0.00168704i | ||||
\(324\) | 0.866025 | + | 0.500000i | 0.0481125 | + | 0.0277778i | ||||
\(325\) | −9.25508 | + | 9.98135i | −0.513379 | + | 0.553666i | ||||
\(326\) | 10.9528 | + | 18.9709i | 0.606621 | + | 1.05070i | ||||
\(327\) | 0.149420 | + | 0.557643i | 0.00826294 | + | 0.0308377i | ||||
\(328\) | −1.76053 | − | 1.76053i | −0.0972091 | − | 0.0972091i | ||||
\(329\) | 10.3616 | + | 3.09013i | 0.571251 | + | 0.170364i | ||||
\(330\) | 0.627061 | − | 2.53025i | 0.0345186 | − | 0.139286i | ||||
\(331\) | 5.46781 | − | 9.47053i | 0.300538 | − | 0.520547i | −0.675720 | − | 0.737159i | \(-0.736167\pi\) |
0.976258 | + | 0.216611i | \(0.0695004\pi\) | |||||||
\(332\) | −13.3162 | − | 3.56807i | −0.730823 | − | 0.195823i | ||||
\(333\) | 10.2592 | + | 2.74894i | 0.562201 | + | 0.150641i | ||||
\(334\) | −8.05513 | + | 13.9519i | −0.440757 | + | 0.763414i | ||||
\(335\) | −16.8056 | − | 27.8797i | −0.918187 | − | 1.52323i | ||||
\(336\) | 2.57379 | − | 0.612870i | 0.140412 | − | 0.0334348i | ||||
\(337\) | −10.2916 | − | 10.2916i | −0.560617 | − | 0.560617i | 0.368866 | − | 0.929483i | \(-0.379746\pi\) |
−0.929483 | + | 0.368866i | \(0.879746\pi\) | |||||||
\(338\) | −1.44645 | − | 5.39822i | −0.0786764 | − | 0.293624i | ||||
\(339\) | −9.38250 | − | 16.2510i | −0.509587 | − | 0.882631i | ||||
\(340\) | −0.0234316 | + | 0.0424132i | −0.00127076 | + | 0.00230018i | ||||
\(341\) | 8.00727 | + | 4.62300i | 0.433618 | + | 0.250349i | ||||
\(342\) | 1.39917 | − | 1.39917i | 0.0756585 | − | 0.0756585i | ||||
\(343\) | 18.4548 | + | 1.55571i | 0.996466 | + | 0.0840004i | ||||
\(344\) | 11.1406i | 0.600658i | ||||||||
\(345\) | 11.1362 | − | 11.5646i | 0.599553 | − | 0.622616i | ||||
\(346\) | 9.04413 | − | 5.22163i | 0.486215 | − | 0.280717i | ||||
\(347\) | −0.661173 | + | 2.46753i | −0.0354936 | + | 0.132464i | −0.981399 | − | 0.191978i | \(-0.938510\pi\) |
0.945906 | + | 0.324442i | \(0.105176\pi\) | |||||||
\(348\) | 5.41502 | − | 1.45095i | 0.290276 | − | 0.0777791i | ||||
\(349\) | −18.6079 | −0.996058 | −0.498029 | − | 0.867160i | \(-0.665943\pi\) | ||||
−0.498029 | + | 0.867160i | \(0.665943\pi\) | |||||||
\(350\) | 12.8106 | + | 3.29970i | 0.684756 | + | 0.176376i | ||||
\(351\) | 2.72238 | 0.145310 | ||||||||
\(352\) | 1.12607 | − | 0.301730i | 0.0600198 | − | 0.0160823i | ||||
\(353\) | −4.09742 | + | 15.2918i | −0.218084 | + | 0.813900i | 0.766974 | + | 0.641678i | \(0.221761\pi\) |
−0.985058 | + | 0.172222i | \(0.944905\pi\) | |||||||
\(354\) | 9.25995 | − | 5.34623i | 0.492161 | − | 0.284149i | ||||
\(355\) | 11.6614 | − | 12.1099i | 0.618921 | − | 0.642729i | ||||
\(356\) | − | 3.60510i | − | 0.191070i | ||||||
\(357\) | −0.0272636 | − | 0.0504360i | −0.00144294 | − | 0.00266935i | ||||
\(358\) | 1.06563 | − | 1.06563i | 0.0563204 | − | 0.0563204i | ||||
\(359\) | 6.50055 | + | 3.75309i | 0.343086 | + | 0.198081i | 0.661636 | − | 0.749825i | \(-0.269863\pi\) |
−0.318550 | + | 0.947906i | \(0.603196\pi\) | |||||||
\(360\) | −1.08130 | + | 1.95724i | −0.0569894 | + | 0.103156i | ||||
\(361\) | 7.54232 | + | 13.0637i | 0.396964 | + | 0.687562i | ||||
\(362\) | 5.52468 | + | 20.6184i | 0.290371 | + | 1.08368i | ||||
\(363\) | −6.81716 | − | 6.81716i | −0.357808 | − | 0.357808i | ||||
\(364\) | 5.23386 | − | 4.94835i | 0.274329 | − | 0.259364i | ||||
\(365\) | −4.32356 | − | 7.17260i | −0.226306 | − | 0.375431i | ||||
\(366\) | −1.82324 | + | 3.15795i | −0.0953025 | + | 0.165069i | ||||
\(367\) | 3.81343 | + | 1.02181i | 0.199060 | + | 0.0533379i | 0.356971 | − | 0.934115i | \(-0.383809\pi\) |
−0.157912 | + | 0.987453i | \(0.550476\pi\) | |||||||
\(368\) | 6.93525 | + | 1.85829i | 0.361525 | + | 0.0968702i | ||||
\(369\) | −1.24488 | + | 2.15620i | −0.0648061 | + | 0.112247i | ||||
\(370\) | −5.71291 | + | 23.0522i | −0.297000 | + | 1.19842i | ||||
\(371\) | −5.62762 | + | 5.32063i | −0.292172 | + | 0.276233i | ||||
\(372\) | −5.60811 | − | 5.60811i | −0.290767 | − | 0.290767i | ||||
\(373\) | 1.39610 | + | 5.21031i | 0.0722872 | + | 0.269780i | 0.992605 | − | 0.121393i | \(-0.0387362\pi\) |
−0.920317 | + | 0.391173i | \(0.872069\pi\) | |||||||
\(374\) | −0.0126313 | − | 0.0218781i | −0.000653150 | − | 0.00113129i | ||||
\(375\) | −9.35068 | + | 6.12900i | −0.482867 | + | 0.316500i | ||||
\(376\) | −3.53923 | − | 2.04338i | −0.182522 | − | 0.105379i | ||||
\(377\) | 10.7917 | − | 10.7917i | 0.555801 | − | 0.555801i | ||||
\(378\) | −1.25813 | − | 2.32747i | −0.0647113 | − | 0.119712i | ||||
\(379\) | − | 2.47403i | − | 0.127082i | −0.997979 | − | 0.0635411i | \(-0.979761\pi\) | ||
0.997979 | − | 0.0635411i | \(-0.0202394\pi\) | |||||||
\(380\) | 3.18711 | + | 3.06906i | 0.163495 | + | 0.157439i | ||||
\(381\) | 1.66700 | − | 0.962442i | 0.0854029 | − | 0.0493074i | ||||
\(382\) | −1.66960 | + | 6.23105i | −0.0854244 | + | 0.318808i | ||||
\(383\) | −23.2872 | + | 6.23980i | −1.18992 | + | 0.318839i | −0.798855 | − | 0.601524i | \(-0.794561\pi\) |
−0.391067 | + | 0.920362i | \(0.627894\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | −4.92136 | + | 4.83197i | −0.250816 | + | 0.246260i | ||||
\(386\) | 5.13858 | 0.261547 | ||||||||
\(387\) | 10.7609 | − | 2.88339i | 0.547010 | − | 0.146571i | ||||
\(388\) | −0.0971800 | + | 0.362681i | −0.00493357 | + | 0.0184123i | ||||
\(389\) | 5.58638 | − | 3.22530i | 0.283241 | − | 0.163529i | −0.351649 | − | 0.936132i | \(-0.614379\pi\) |
0.634890 | + | 0.772603i | \(0.281046\pi\) | |||||||
\(390\) | 0.114854 | + | 6.08634i | 0.00581585 | + | 0.308194i | ||||
\(391\) | − | 0.155588i | − | 0.00786840i | ||||||
\(392\) | −6.64933 | − | 2.18778i | −0.335842 | − | 0.110500i | ||||
\(393\) | −12.1267 | + | 12.1267i | −0.611713 | + | 0.611713i | ||||
\(394\) | 21.8429 | + | 12.6110i | 1.10043 | + | 0.635334i | ||||
\(395\) | −3.46005 | + | 0.997455i | −0.174094 | + | 0.0501874i | ||||
\(396\) | −0.582897 | − | 1.00961i | −0.0292917 | − | 0.0507347i | ||||
\(397\) | 4.84423 | + | 18.0789i | 0.243125 | + | 0.907354i | 0.974317 | + | 0.225182i | \(0.0722978\pi\) |
−0.731192 | + | 0.682172i | \(0.761036\pi\) | |||||||
\(398\) | −3.49450 | − | 3.49450i | −0.175163 | − | 0.175163i | ||||
\(399\) | −5.09283 | + | 1.21270i | −0.254960 | + | 0.0607110i | ||||
\(400\) | −4.42136 | − | 2.33485i | −0.221068 | − | 0.116743i | ||||
\(401\) | 9.36968 | − | 16.2288i | 0.467900 | − | 0.810426i | −0.531428 | − | 0.847104i | \(-0.678344\pi\) |
0.999327 | + | 0.0366779i | \(0.0116776\pi\) | |||||||
\(402\) | −14.0621 | − | 3.76794i | −0.701356 | − | 0.187928i | ||||
\(403\) | −20.8557 | − | 5.58826i | −1.03889 | − | 0.278371i | ||||
\(404\) | 6.95796 | − | 12.0515i | 0.346171 | − | 0.599587i | ||||
\(405\) | 2.17041 | + | 0.537883i | 0.107849 | + | 0.0267276i | ||||
\(406\) | −14.2136 | − | 4.23892i | −0.705408 | − | 0.210374i | ||||
\(407\) | −8.75542 | − | 8.75542i | −0.433990 | − | 0.433990i | ||||
\(408\) | 0.00560858 | + | 0.0209315i | 0.000277666 | + | 0.00103626i | ||||
\(409\) | 11.6768 | + | 20.2248i | 0.577381 | + | 1.00005i | 0.995778 | + | 0.0917890i | \(0.0292585\pi\) |
−0.418398 | + | 0.908264i | \(0.637408\pi\) | |||||||
\(410\) | −4.87308 | − | 2.69218i | −0.240664 | − | 0.132957i | ||||
\(411\) | −8.86443 | − | 5.11788i | −0.437250 | − | 0.252446i | ||||
\(412\) | −8.47403 | + | 8.47403i | −0.417485 | + | 0.417485i | ||||
\(413\) | −28.2785 | − | 0.792944i | −1.39149 | − | 0.0390182i | ||||
\(414\) | − | 7.17989i | − | 0.352873i | ||||||
\(415\) | −30.8209 | + | 0.581613i | −1.51294 | + | 0.0285502i | ||||
\(416\) | −2.35765 | + | 1.36119i | −0.115593 | + | 0.0667378i | ||||
\(417\) | 1.46263 | − | 5.45863i | 0.0716255 | − | 0.267310i | ||||
\(418\) | −2.22819 | + | 0.597041i | −0.108984 | + | 0.0292022i | ||||
\(419\) | 8.27092 | 0.404061 | 0.202030 | − | 0.979379i | \(-0.435246\pi\) | ||||
0.202030 | + | 0.979379i | \(0.435246\pi\) | |||||||
\(420\) | 5.15037 | − | 2.91096i | 0.251312 | − | 0.142040i | ||||
\(421\) | −33.3728 | −1.62649 | −0.813246 | − | 0.581920i | \(-0.802302\pi\) | ||||
−0.813246 | + | 0.581920i | \(0.802302\pi\) | |||||||
\(422\) | −18.3966 | + | 4.92934i | −0.895530 | + | 0.239957i | ||||
\(423\) | −1.05773 | + | 3.94750i | −0.0514285 | + | 0.191934i | ||||
\(424\) | 2.53502 | − | 1.46360i | 0.123112 | − | 0.0710785i | ||||
\(425\) | −0.0240744 | + | 0.105641i | −0.00116778 | + | 0.00512434i | ||||
\(426\) | − | 7.51848i | − | 0.364272i | ||||||
\(427\) | 8.48708 | − | 4.58776i | 0.410719 | − | 0.222017i | ||||
\(428\) | −4.88300 | + | 4.88300i | −0.236029 | + | 0.236029i | ||||
\(429\) | −2.74854 | − | 1.58687i | −0.132701 | − | 0.0766147i | ||||
\(430\) | 6.90029 | + | 23.9363i | 0.332762 | + | 1.15431i | ||||
\(431\) | 12.1733 | + | 21.0848i | 0.586369 | + | 1.01562i | 0.994703 | + | 0.102788i | \(0.0327764\pi\) |
−0.408334 | + | 0.912832i | \(0.633890\pi\) | |||||||
\(432\) | 0.258819 | + | 0.965926i | 0.0124524 | + | 0.0464731i | ||||
\(433\) | −18.0803 | − | 18.0803i | −0.868885 | − | 0.868885i | 0.123464 | − | 0.992349i | \(-0.460600\pi\) |
−0.992349 | + | 0.123464i | \(0.960600\pi\) | |||||||
\(434\) | 4.86071 | + | 20.4129i | 0.233322 | + | 0.979850i | ||||
\(435\) | 10.7359 | − | 6.47146i | 0.514746 | − | 0.310283i | ||||
\(436\) | −0.288657 | + | 0.499969i | −0.0138242 | + | 0.0239442i | ||||
\(437\) | −13.7230 | − | 3.67705i | −0.656458 | − | 0.175897i | ||||
\(438\) | −3.61776 | − | 0.969376i | −0.172863 | − | 0.0463186i | ||||
\(439\) | −8.11012 | + | 14.0471i | −0.387075 | + | 0.670433i | −0.992055 | − | 0.125808i | \(-0.959848\pi\) |
0.604980 | + | 0.796241i | \(0.293181\pi\) | |||||||
\(440\) | 2.23256 | − | 1.34576i | 0.106433 | − | 0.0641566i | ||||
\(441\) | −0.392259 | + | 6.98900i | −0.0186790 | + | 0.332810i | ||||
\(442\) | 0.0417148 | + | 0.0417148i | 0.00198417 | + | 0.00198417i | ||||
\(443\) | 5.63860 | + | 21.0436i | 0.267898 | + | 0.999810i | 0.960452 | + | 0.278444i | \(0.0898186\pi\) |
−0.692554 | + | 0.721366i | \(0.743515\pi\) | |||||||
\(444\) | 5.31055 | + | 9.19815i | 0.252028 | + | 0.436525i | ||||
\(445\) | −2.23294 | − | 7.74582i | −0.105852 | − | 0.367187i | ||||
\(446\) | 3.60676 | + | 2.08236i | 0.170785 | + | 0.0986027i | ||||
\(447\) | 0.156132 | − | 0.156132i | 0.00738477 | − | 0.00738477i | ||||
\(448\) | 2.25331 | + | 1.38658i | 0.106459 | + | 0.0655097i | ||||
\(449\) | 10.1648i | 0.479708i | 0.970809 | + | 0.239854i | \(0.0770996\pi\) | ||||
−0.970809 | + | 0.239854i | \(0.922900\pi\) | |||||||
\(450\) | −1.11096 | + | 4.87501i | −0.0523712 | + | 0.229810i | ||||
\(451\) | 2.51369 | − | 1.45128i | 0.118365 | − | 0.0683381i | ||||
\(452\) | 4.85674 | − | 18.1256i | 0.228442 | − | 0.852556i | ||||
\(453\) | 6.15184 | − | 1.64838i | 0.289038 | − | 0.0774476i | ||||
\(454\) | −18.4389 | −0.865381 | ||||||||
\(455\) | 8.18040 | − | 13.8737i | 0.383503 | − | 0.650407i | ||||
\(456\) | 1.97873 | 0.0926624 | ||||||||
\(457\) | 27.5526 | − | 7.38270i | 1.28886 | − | 0.345348i | 0.451631 | − | 0.892205i | \(-0.350842\pi\) |
0.837226 | + | 0.546856i | \(0.184176\pi\) | |||||||
\(458\) | −1.52965 | + | 5.70873i | −0.0714758 | + | 0.266751i | ||||
\(459\) | 0.0187667 | − | 0.0108349i | 0.000875953 | − | 0.000505732i | ||||
\(460\) | 16.0519 | − | 0.302911i | 0.748423 | − | 0.0141233i | ||||
\(461\) | 20.0972i | 0.936022i | 0.883723 | + | 0.468011i | \(0.155029\pi\) | ||||
−0.883723 | + | 0.468011i | \(0.844971\pi\) | |||||||
\(462\) | −0.0864543 | + | 3.08319i | −0.00402222 | + | 0.143443i | ||||
\(463\) | −7.34462 | + | 7.34462i | −0.341334 | + | 0.341334i | −0.856869 | − | 0.515535i | \(-0.827593\pi\) |
0.515535 | + | 0.856869i | \(0.327593\pi\) | |||||||
\(464\) | 4.85498 | + | 2.80302i | 0.225387 | + | 0.130127i | ||||
\(465\) | −15.5230 | − | 8.57585i | −0.719862 | − | 0.397695i | ||||
\(466\) | 3.61767 | + | 6.26598i | 0.167585 | + | 0.290266i | ||||
\(467\) | −6.10926 | − | 22.8001i | −0.282703 | − | 1.05506i | −0.950502 | − | 0.310720i | \(-0.899430\pi\) |
0.667799 | − | 0.744342i | \(-0.267237\pi\) | |||||||
\(468\) | 1.92501 | + | 1.92501i | 0.0889838 | + | 0.0889838i | ||||
\(469\) | 26.4618 | + | 27.9886i | 1.22189 | + | 1.29239i | ||||
\(470\) | −8.86993 | − | 2.19819i | −0.409139 | − | 0.101395i | ||||
\(471\) | −7.23813 | + | 12.5368i | −0.333515 | + | 0.577666i | ||||
\(472\) | 10.3281 | + | 2.76741i | 0.475391 | + | 0.127381i | ||||
\(473\) | −12.5451 | − | 3.36144i | −0.576822 | − | 0.154559i | ||||
\(474\) | −0.805197 | + | 1.39464i | −0.0369839 | + | 0.0640581i | ||||
\(475\) | 8.74867 | + | 4.62004i | 0.401417 | + | 0.211982i | ||||
\(476\) | 0.0163853 | − | 0.0549419i | 0.000751021 | − | 0.00251826i | ||||
\(477\) | −2.06984 | − | 2.06984i | −0.0947714 | − | 0.0947714i | ||||
\(478\) | −1.08748 | − | 4.05855i | −0.0497404 | − | 0.185634i | ||||
\(479\) | −12.3892 | − | 21.4588i | −0.566079 | − | 0.980478i | −0.996948 | − | 0.0780633i | \(-0.975126\pi\) |
0.430869 | − | 0.902414i | \(-0.358207\pi\) | |||||||
\(480\) | −2.14857 | + | 0.619385i | −0.0980685 | + | 0.0282709i | ||||
\(481\) | 25.0409 | + | 14.4573i | 1.14176 | + | 0.659198i | ||||
\(482\) | −15.5110 | + | 15.5110i | −0.706507 | + | 0.706507i | ||||
\(483\) | −9.95550 | + | 16.1785i | −0.452991 | + | 0.736148i | ||||
\(484\) | − | 9.64092i | − | 0.438224i | ||||||
\(485\) | 0.0158408 | + | 0.839438i | 0.000719294 | + | 0.0381169i | ||||
\(486\) | 0.866025 | − | 0.500000i | 0.0392837 | − | 0.0226805i | ||||
\(487\) | 6.15129 | − | 22.9569i | 0.278741 | − | 1.04028i | −0.674551 | − | 0.738228i | \(-0.735663\pi\) |
0.953292 | − | 0.302049i | \(-0.0976706\pi\) | |||||||
\(488\) | −3.52224 | + | 0.943781i | −0.159444 | + | 0.0427229i | ||||
\(489\) | 21.9057 | 0.990608 | ||||||||
\(490\) | −15.6416 | − | 0.582104i | −0.706618 | − | 0.0262968i | ||||
\(491\) | −0.386093 | −0.0174242 | −0.00871208 | − | 0.999962i | \(-0.502773\pi\) | ||||
−0.00871208 | + | 0.999962i | \(0.502773\pi\) | |||||||
\(492\) | −2.40493 | + | 0.644400i | −0.108423 | + | 0.0290518i | ||||
\(493\) | 0.0314419 | − | 0.117343i | 0.00141607 | − | 0.00528486i | ||||
\(494\) | 4.66514 | − | 2.69342i | 0.209895 | − | 0.121183i | ||||
\(495\) | −1.87773 | − | 1.80818i | −0.0843978 | − | 0.0812715i | ||||
\(496\) | − | 7.93107i | − | 0.356115i | ||||||
\(497\) | −10.4250 | + | 16.9415i | −0.467624 | + | 0.759928i | ||||
\(498\) | −9.74815 | + | 9.74815i | −0.436825 | + | 0.436825i | ||||
\(499\) | −6.94992 | − | 4.01254i | −0.311121 | − | 0.179626i | 0.336307 | − | 0.941752i | \(-0.390822\pi\) |
−0.647428 | + | 0.762127i | \(0.724155\pi\) | |||||||
\(500\) | −10.9458 | − | 2.27807i | −0.489511 | − | 0.101878i | ||||
\(501\) | 8.05513 | + | 13.9519i | 0.359877 | + | 0.623325i | ||||
\(502\) | −3.91575 | − | 14.6138i | −0.174768 | − | 0.652244i | ||||
\(503\) | 11.5901 | + | 11.5901i | 0.516775 | + | 0.516775i | 0.916594 | − | 0.399819i | \(-0.130927\pi\) |
−0.399819 | + | 0.916594i | \(0.630927\pi\) | |||||||
\(504\) | 0.756134 | − | 2.53540i | 0.0336809 | − | 0.112936i | ||||
\(505\) | 7.48513 | − | 30.2033i | 0.333084 | − | 1.34403i | ||||
\(506\) | −4.18514 | + | 7.24888i | −0.186052 | + | 0.322252i | ||||
\(507\) | −5.39822 | − | 1.44645i | −0.239743 | − | 0.0642390i | ||||
\(508\) | 1.85929 | + | 0.498197i | 0.0824929 | + | 0.0221039i | ||||
\(509\) | 7.77422 | − | 13.4654i | 0.344586 | − | 0.596841i | −0.640692 | − | 0.767798i | \(-0.721352\pi\) |
0.985279 | + | 0.170957i | \(0.0546858\pi\) | |||||||
\(510\) | 0.0250151 | + | 0.0414990i | 0.00110769 | + | 0.00183761i | ||||
\(511\) | 6.80781 | + | 7.20062i | 0.301160 | + | 0.318536i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −0.512132 | − | 1.91130i | −0.0226112 | − | 0.0843861i | ||||
\(514\) | 11.5071 | + | 19.9309i | 0.507558 | + | 0.879116i | ||||
\(515\) | −12.9584 | + | 23.4557i | −0.571014 | + | 1.03358i | ||||
\(516\) | 9.64800 | + | 5.57028i | 0.424730 | + | 0.245218i | ||||
\(517\) | 3.36888 | − | 3.36888i | 0.148163 | − | 0.148163i | ||||
\(518\) | 0.787652 | − | 28.0898i | 0.0346074 | − | 1.23419i | ||||
\(519\) | − | 10.4433i | − | 0.458408i | ||||||
\(520\) | −4.22248 | + | 4.38491i | −0.185168 | + | 0.192291i | ||||
\(521\) | 22.8573 | − | 13.1967i | 1.00140 | − | 0.578156i | 0.0927347 | − | 0.995691i | \(-0.470439\pi\) |
0.908661 | + | 0.417535i | \(0.137106\pi\) | |||||||
\(522\) | 1.45095 | − | 5.41502i | 0.0635064 | − | 0.237009i | ||||
\(523\) | −38.1134 | + | 10.2125i | −1.66658 | + | 0.446559i | −0.964186 | − | 0.265227i | \(-0.914553\pi\) |
−0.702396 | + | 0.711786i | \(0.747886\pi\) | |||||||
\(524\) | −17.1498 | −0.749192 | ||||||||
\(525\) | 9.26293 | − | 9.44447i | 0.404268 | − | 0.412191i | ||||
\(526\) | 20.1205 | 0.877294 | ||||||||
\(527\) | −0.166009 | + | 0.0444820i | −0.00723147 | + | 0.00193767i | ||||
\(528\) | 0.301730 | − | 1.12607i | 0.0131311 | − | 0.0490060i | ||||
\(529\) | −24.7258 | + | 14.2754i | −1.07503 | + | 0.620671i | ||||
\(530\) | 4.54015 | − | 4.71480i | 0.197212 | − | 0.204798i | ||||
\(531\) | − | 10.6925i | − | 0.464014i | ||||||
\(532\) | −4.45868 | − | 2.74366i | −0.193308 | − | 0.118953i | ||||
\(533\) | −4.79284 | + | 4.79284i | −0.207601 | + | 0.207601i | ||||
\(534\) | −3.12211 | − | 1.80255i | −0.135107 | − | 0.0780040i | ||||
\(535\) | −7.46703 | + | 13.5159i | −0.322828 | + | 0.584345i | ||||
\(536\) | −7.27910 | − | 12.6078i | −0.314409 | − | 0.544573i | ||||
\(537\) | −0.390048 | − | 1.45568i | −0.0168318 | − | 0.0628172i | ||||
\(538\) | 6.55459 | + | 6.55459i | 0.282588 | + | 0.282588i | ||||
\(539\) | 4.46990 | − | 6.82750i | 0.192532 | − | 0.294081i | ||||
\(540\) | 1.15437 | + | 1.91505i | 0.0496762 | + | 0.0824107i | ||||
\(541\) | −4.06849 | + | 7.04683i | −0.174918 | + | 0.302967i | −0.940133 | − | 0.340808i | \(-0.889299\pi\) |
0.765215 | + | 0.643775i | \(0.222633\pi\) | |||||||
\(542\) | 25.3360 | + | 6.78877i | 1.08828 | + | 0.291603i | ||||
\(543\) | 20.6184 | + | 5.52468i | 0.884820 | + | 0.237087i | ||||
\(544\) | −0.0108349 | + | 0.0187667i | −0.000464544 | + | 0.000804615i | ||||
\(545\) | −0.310527 | + | 1.25301i | −0.0133015 | + | 0.0536730i | ||||
\(546\) | −1.66846 | − | 7.00683i | −0.0714037 | − | 0.299865i | ||||
\(547\) | 12.5204 | + | 12.5204i | 0.535335 | + | 0.535335i | 0.922155 | − | 0.386820i | \(-0.126427\pi\) |
−0.386820 | + | 0.922155i | \(0.626427\pi\) | |||||||
\(548\) | −2.64921 | − | 9.88699i | −0.113169 | − | 0.422351i | ||||
\(549\) | 1.82324 | + | 3.15795i | 0.0778142 | + | 0.134778i | ||||
\(550\) | 3.96327 | − | 4.27428i | 0.168994 | − | 0.182256i | ||||
\(551\) | −9.60667 | − | 5.54641i | −0.409258 | − | 0.236285i | ||||
\(552\) | 5.07695 | − | 5.07695i | 0.216089 | − | 0.216089i | ||||
\(553\) | 3.74814 | − | 2.02609i | 0.159387 | − | 0.0861581i | ||||
\(554\) | − | 13.2995i | − | 0.565040i | ||||||
\(555\) | 17.1073 | + | 16.4736i | 0.726165 | + | 0.699266i | ||||
\(556\) | 4.89407 | − | 2.82559i | 0.207555 | − | 0.119832i | ||||
\(557\) | −4.19123 | + | 15.6419i | −0.177588 | + | 0.662768i | 0.818508 | + | 0.574495i | \(0.194802\pi\) |
−0.996096 | + | 0.0882732i | \(0.971865\pi\) | |||||||
\(558\) | −7.66082 | + | 2.05271i | −0.324308 | + | 0.0868982i | ||||
\(559\) | 30.3288 | 1.28277 | ||||||||
\(560\) | 5.70022 | + | 1.58350i | 0.240878 | + | 0.0669151i | ||||
\(561\) | −0.0252626 | −0.00106659 | ||||||||
\(562\) | −13.0497 | + | 3.49667i | −0.550470 | + | 0.147498i | ||||
\(563\) | 2.26573 | − | 8.45582i | 0.0954892 | − | 0.356370i | −0.901604 | − | 0.432562i | \(-0.857610\pi\) |
0.997093 | + | 0.0761920i | \(0.0242762\pi\) | |||||||
\(564\) | −3.53923 | + | 2.04338i | −0.149028 | + | 0.0860416i | ||||
\(565\) | −0.791671 | − | 41.9523i | −0.0333059 | − | 1.76495i | ||||
\(566\) | − | 19.8911i | − | 0.836085i | ||||||
\(567\) | −2.64471 | − | 0.0741591i | −0.111067 | − | 0.00311439i | ||||
\(568\) | 5.31637 | − | 5.31637i | 0.223070 | − | 0.223070i | ||||
\(569\) | −35.9794 | − | 20.7727i | −1.50833 | − | 0.870838i | −0.999953 | − | 0.00970591i | \(-0.996910\pi\) |
−0.508382 | − | 0.861132i | \(-0.669756\pi\) | |||||||
\(570\) | 4.25144 | − | 1.22559i | 0.178073 | − | 0.0513345i | ||||
\(571\) | −6.59259 | − | 11.4187i | −0.275891 | − | 0.477858i | 0.694468 | − | 0.719523i | \(-0.255640\pi\) |
−0.970360 | + | 0.241666i | \(0.922306\pi\) | |||||||
\(572\) | −0.821423 | − | 3.06559i | −0.0343454 | − | 0.128179i | ||||
\(573\) | 4.56144 | + | 4.56144i | 0.190557 | + | 0.190557i | ||||
\(574\) | 6.31256 | + | 1.88260i | 0.263481 | + | 0.0785782i | ||||
\(575\) | 34.3010 | − | 10.5931i | 1.43045 | − | 0.441764i | ||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | 17.3319 | + | 4.64406i | 0.721535 | + | 0.193335i | 0.600857 | − | 0.799357i | \(-0.294826\pi\) |
0.120679 | + | 0.992692i | \(0.461493\pi\) | |||||||
\(578\) | −16.4203 | − | 4.39980i | −0.682994 | − | 0.183008i | ||||
\(579\) | 2.56929 | − | 4.45014i | 0.106776 | − | 0.184942i | ||||
\(580\) | 12.1674 | + | 3.01539i | 0.505225 | + | 0.125207i | ||||
\(581\) | 35.4822 | − | 8.44900i | 1.47205 | − | 0.350524i | ||||
\(582\) | 0.265501 | + | 0.265501i | 0.0110054 | + | 0.0110054i | ||||
\(583\) | 0.883222 | + | 3.29623i | 0.0365793 | + | 0.136516i | ||||
\(584\) | −1.87269 | − | 3.24360i | −0.0774925 | − | 0.134221i | ||||
\(585\) | 5.32835 | + | 2.94371i | 0.220300 | + | 0.121707i | ||||
\(586\) | 21.3159 | + | 12.3068i | 0.880553 | + | 0.508387i | ||||
\(587\) | 7.68342 | − | 7.68342i | 0.317129 | − | 0.317129i | −0.530535 | − | 0.847663i | \(-0.678009\pi\) |
0.847663 | + | 0.530535i | \(0.178009\pi\) | |||||||
\(588\) | −5.21934 | + | 4.66460i | −0.215242 | + | 0.192365i | ||||
\(589\) | 15.6934i | 0.646636i | ||||||||
\(590\) | 23.9048 | − | 0.451102i | 0.984146 | − | 0.0185716i | ||||
\(591\) | 21.8429 | − | 12.6110i | 0.898499 | − | 0.518748i | ||||
\(592\) | −2.74894 | + | 10.2592i | −0.112981 | + | 0.421651i | ||||
\(593\) | −7.58832 | + | 2.03328i | −0.311615 | + | 0.0834970i | −0.411237 | − | 0.911528i | \(-0.634903\pi\) |
0.0996223 | + | 0.995025i | \(0.468237\pi\) | |||||||
\(594\) | −1.16579 | −0.0478331 | ||||||||
\(595\) | 0.00117490 | − | 0.128195i | 4.81663e−5 | − | 0.00525550i | ||||
\(596\) | 0.220803 | 0.00904446 | ||||||||
\(597\) | −4.77357 | + | 1.27908i | −0.195369 | + | 0.0523491i | ||||
\(598\) | 5.05898 | − | 18.8804i | 0.206877 | − | 0.772076i | ||||
\(599\) | −20.5520 | + | 11.8657i | −0.839731 | + | 0.484819i | −0.857173 | − | 0.515029i | \(-0.827781\pi\) |
0.0174418 | + | 0.999848i | \(0.494448\pi\) | |||||||
\(600\) | −4.23272 | + | 2.66159i | −0.172800 | + | 0.108659i | ||||
\(601\) | 14.4348i | 0.588806i | 0.955681 | + | 0.294403i | \(0.0951208\pi\) | ||||
−0.955681 | + | 0.294403i | \(0.904879\pi\) | |||||||
\(602\) | −14.0163 | − | 25.9293i | −0.571261 | − | 1.05680i | ||||
\(603\) | −10.2942 | + | 10.2942i | −0.419213 | + | 0.419213i | ||||
\(604\) | 5.51559 | + | 3.18442i | 0.224426 | + | 0.129572i | ||||
\(605\) | −5.97144 | − | 20.7142i | −0.242774 | − | 0.842153i | ||||
\(606\) | −6.95796 | − | 12.0515i | −0.282648 | − | 0.489560i | ||||
\(607\) | 0.172772 | + | 0.644795i | 0.00701261 | + | 0.0261714i | 0.969343 | − | 0.245710i | \(-0.0790210\pi\) |
−0.962331 | + | 0.271881i | \(0.912354\pi\) | |||||||
\(608\) | 1.39917 | + | 1.39917i | 0.0567439 | + | 0.0567439i | ||||
\(609\) | −10.7778 | + | 10.1899i | −0.436738 | + | 0.412914i | ||||
\(610\) | −6.98322 | + | 4.20940i | −0.282742 | + | 0.170434i | ||||
\(611\) | −5.56284 | + | 9.63513i | −0.225049 | + | 0.389796i | ||||
\(612\) | 0.0209315 | + | 0.00560858i | 0.000846106 | + | 0.000226713i | ||||
\(613\) | 14.2571 | + | 3.82018i | 0.575839 | + | 0.154296i | 0.534973 | − | 0.844869i | \(-0.320322\pi\) |
0.0408659 | + | 0.999165i | \(0.486988\pi\) | |||||||
\(614\) | −0.400469 | + | 0.693633i | −0.0161616 | + | 0.0279927i | ||||
\(615\) | −4.76804 | + | 2.87412i | −0.192266 | + | 0.115896i | ||||
\(616\) | −2.24128 | + | 2.11901i | −0.0903037 | + | 0.0853775i | ||||
\(617\) | −4.88322 | − | 4.88322i | −0.196591 | − | 0.196591i | 0.601946 | − | 0.798537i | \(-0.294392\pi\) |
−0.798537 | + | 0.601946i | \(0.794392\pi\) | |||||||
\(618\) | 3.10171 | + | 11.5757i | 0.124769 | + | 0.465644i | ||||
\(619\) | −13.8975 | − | 24.0712i | −0.558589 | − | 0.967504i | −0.997615 | − | 0.0690295i | \(-0.978010\pi\) |
0.439026 | − | 0.898474i | \(-0.355324\pi\) | |||||||
\(620\) | −4.91238 | − | 17.0405i | −0.197286 | − | 0.684362i | ||||
\(621\) | −6.21797 | − | 3.58995i | −0.249519 | − | 0.144060i | ||||
\(622\) | 9.47327 | − | 9.47327i | 0.379844 | − | 0.379844i | ||||
\(623\) | 4.53569 | + | 8.39075i | 0.181719 | + | 0.336168i | ||||
\(624\) | 2.72238i | 0.108982i | ||||||||
\(625\) | −24.9288 | + | 1.88506i | −0.997153 | + | 0.0754023i | ||||
\(626\) | 24.9051 | − | 14.3790i | 0.995410 | − | 0.574700i | ||||
\(627\) | −0.597041 | + | 2.22819i | −0.0238435 | + | 0.0889852i | ||||
\(628\) | −13.9830 | + | 3.74673i | −0.557982 | + | 0.149511i | ||||
\(629\) | 0.230158 | 0.00917701 | ||||||||
\(630\) | 0.0542182 | − | 5.91583i | 0.00216011 | − | 0.235692i | ||||
\(631\) | 6.30112 | 0.250844 | 0.125422 | − | 0.992104i | \(-0.459972\pi\) | ||||
0.125422 | + | 0.992104i | \(0.459972\pi\) | |||||||
\(632\) | −1.55552 | + | 0.416801i | −0.0618753 | + | 0.0165794i | ||||
\(633\) | −4.92934 | + | 18.3966i | −0.195924 | + | 0.731197i | ||||
\(634\) | 29.2153 | − | 16.8675i | 1.16029 | − | 0.669893i | ||||
\(635\) | 4.30340 | − | 0.0812084i | 0.170775 | − | 0.00322266i | ||||
\(636\) | − | 2.92719i | − | 0.116071i | ||||||
\(637\) | −5.95597 | + | 18.1020i | −0.235984 | + | 0.717228i | ||||
\(638\) | −4.62129 | + | 4.62129i | −0.182959 | + | 0.182959i | ||||
\(639\) | −6.51120 | − | 3.75924i | −0.257579 | − | 0.148713i | ||||
\(640\) | −1.95724 | − | 1.08130i | −0.0773668 | − | 0.0427421i | ||||
\(641\) | −2.63684 | − | 4.56715i | −0.104149 | − | 0.180391i | 0.809241 | − | 0.587477i | \(-0.199879\pi\) |
−0.913390 | + | 0.407085i | \(0.866545\pi\) | |||||||
\(642\) | 1.78730 | + | 6.67031i | 0.0705393 | + | 0.263256i | ||||
\(643\) | −5.34948 | − | 5.34948i | −0.210963 | − | 0.210963i | 0.593714 | − | 0.804677i | \(-0.297661\pi\) |
−0.804677 | + | 0.593714i | \(0.797661\pi\) | |||||||
\(644\) | −18.4795 | + | 4.40034i | −0.728196 | + | 0.173398i | ||||
\(645\) | 24.1796 | + | 5.99231i | 0.952070 | + | 0.235947i | ||||
\(646\) | 0.0214394 | − | 0.0371341i | 0.000843522 | − | 0.00146102i | ||||
\(647\) | −21.4035 | − | 5.73506i | −0.841460 | − | 0.225469i | −0.187753 | − | 0.982216i | \(-0.560120\pi\) |
−0.653707 | + | 0.756748i | \(0.726787\pi\) | |||||||
\(648\) | 0.965926 | + | 0.258819i | 0.0379452 | + | 0.0101674i | ||||
\(649\) | −6.23261 | + | 10.7952i | −0.244651 | + | 0.423749i | ||||
\(650\) | −6.35636 | + | 12.0366i | −0.249317 | + | 0.472116i | ||||
\(651\) | 20.1084 | + | 5.99695i | 0.788112 | + | 0.235039i | ||||
\(652\) | 15.4896 | + | 15.4896i | 0.606621 | + | 0.606621i | ||||
\(653\) | −11.4754 | − | 42.8267i | −0.449066 | − | 1.67594i | −0.704972 | − | 0.709235i | \(-0.749041\pi\) |
0.255907 | − | 0.966702i | \(-0.417626\pi\) | |||||||
\(654\) | 0.288657 | + | 0.499969i | 0.0112874 | + | 0.0195503i | ||||
\(655\) | −36.8476 | + | 10.6223i | −1.43975 | + | 0.415049i | ||||
\(656\) | −2.15620 | − | 1.24488i | −0.0841856 | − | 0.0486046i | ||||
\(657\) | −2.64838 | + | 2.64838i | −0.103323 | + | 0.103323i | ||||
\(658\) | 10.8083 | + | 0.303070i | 0.421351 | + | 0.0118149i | ||||
\(659\) | 38.6387i | 1.50515i | 0.658507 | + | 0.752575i | \(0.271188\pi\) | ||||
−0.658507 | + | 0.752575i | \(0.728812\pi\) | |||||||
\(660\) | −0.0491834 | − | 2.60633i | −0.00191446 | − | 0.101451i | ||||
\(661\) | −24.7737 | + | 14.3031i | −0.963587 | + | 0.556327i | −0.897275 | − | 0.441472i | \(-0.854457\pi\) |
−0.0663118 | + | 0.997799i | \(0.521123\pi\) | |||||||
\(662\) | 2.83035 | − | 10.5630i | 0.110005 | − | 0.410543i | ||||
\(663\) | 0.0569835 | − | 0.0152687i | 0.00221306 | − | 0.000592987i | ||||
\(664\) | −13.7860 | −0.534999 | ||||||||
\(665\) | −11.2792 | − | 3.13331i | −0.437388 | − | 0.121505i | ||||
\(666\) | 10.6211 | 0.411560 | ||||||||
\(667\) | −38.8793 | + | 10.4177i | −1.50541 | + | 0.403374i | ||||
\(668\) | −4.16964 | + | 15.5613i | −0.161328 | + | 0.602086i | ||||
\(669\) | 3.60676 | − | 2.08236i | 0.139445 | − | 0.0805088i | ||||
\(670\) | −23.4487 | − | 22.5801i | −0.905904 | − | 0.872347i | ||||
\(671\) | − | 4.25106i | − | 0.164110i | ||||||
\(672\) | 2.32747 | − | 1.25813i | 0.0897840 | − | 0.0485335i | ||||
\(673\) | 36.6126 | − | 36.6126i | 1.41131 | − | 1.41131i | 0.660379 | − | 0.750932i | \(-0.270396\pi\) |
0.750932 | − | 0.660379i | \(-0.229604\pi\) | |||||||
\(674\) | −12.6045 | − | 7.27723i | −0.485509 | − | 0.280309i | ||||
\(675\) | 3.66641 | + | 3.39963i | 0.141120 | + | 0.130852i | ||||
\(676\) | −2.79432 | − | 4.83991i | −0.107474 | − | 0.186150i | ||||
\(677\) | −6.94951 | − | 25.9359i | −0.267091 | − | 0.996798i | −0.960958 | − | 0.276695i | \(-0.910761\pi\) |
0.693867 | − | 0.720104i | \(-0.255906\pi\) | |||||||
\(678\) | −13.2689 | − | 13.2689i | −0.509587 | − | 0.509587i | ||||
\(679\) | −0.230117 | − | 0.966393i | −0.00883108 | − | 0.0370868i | ||||
\(680\) | −0.0116559 | + | 0.0470326i | −0.000446982 | + | 0.00180362i | ||||
\(681\) | −9.21945 | + | 15.9686i | −0.353290 | + | 0.611917i | ||||
\(682\) | 8.93095 | + | 2.39304i | 0.341984 | + | 0.0916342i | ||||
\(683\) | 1.91999 | + | 0.514460i | 0.0734664 | + | 0.0196853i | 0.295365 | − | 0.955384i | \(-0.404559\pi\) |
−0.221899 | + | 0.975070i | \(0.571225\pi\) | |||||||
\(684\) | 0.989363 | − | 1.71363i | 0.0378293 | − | 0.0655222i | ||||
\(685\) | −11.8159 | − | 19.6020i | −0.451461 | − | 0.748955i | ||||
\(686\) | 18.2286 | − | 3.27375i | 0.695972 | − | 0.124993i | ||||
\(687\) | 4.17908 | + | 4.17908i | 0.159442 | + | 0.159442i | ||||
\(688\) | 2.88339 | + | 10.7609i | 0.109928 | + | 0.410257i | ||||
\(689\) | −3.98446 | − | 6.90130i | −0.151796 | − | 0.262918i | ||||
\(690\) | 7.76361 | − | 14.0528i | 0.295556 | − | 0.534980i | ||||
\(691\) | −8.33571 | − | 4.81262i | −0.317105 | − | 0.183081i | 0.332996 | − | 0.942928i | \(-0.391940\pi\) |
−0.650102 | + | 0.759847i | \(0.725274\pi\) | |||||||
\(692\) | 7.38450 | − | 7.38450i | 0.280717 | − | 0.280717i | ||||
\(693\) | 2.62690 | + | 1.61647i | 0.0997875 | + | 0.0614045i | ||||
\(694\) | 2.55458i | 0.0969703i | ||||||||
\(695\) | 8.76513 | − | 9.10231i | 0.332480 | − | 0.345270i | ||||
\(696\) | 4.85498 | − | 2.80302i | 0.184027 | − | 0.106248i | ||||
\(697\) | −0.0139641 | + | 0.0521146i | −0.000528927 | + | 0.00197398i | ||||
\(698\) | −17.9739 | + | 4.81608i | −0.680320 | + | 0.182291i | ||||
\(699\) | 7.23533 | 0.273665 | ||||||||
\(700\) | 13.2281 | − | 0.128367i | 0.499976 | − | 0.00485183i | ||||
\(701\) | −12.4958 | −0.471959 | −0.235980 | − | 0.971758i | \(-0.575830\pi\) | ||||
−0.235980 | + | 0.971758i | \(0.575830\pi\) | |||||||
\(702\) | 2.62962 | − | 0.704604i | 0.0992485 | − | 0.0265936i | ||||
\(703\) | 5.43941 | − | 20.3002i | 0.205151 | − | 0.765635i | ||||
\(704\) | 1.00961 | − | 0.582897i | 0.0380510 | − | 0.0219688i | ||||
\(705\) | −6.33865 | + | 6.58249i | −0.238728 | + | 0.247911i | ||||
\(706\) | 15.8312i | 0.595816i | ||||||||
\(707\) | −1.03199 | + | 36.8036i | −0.0388121 | + | 1.38414i | ||||
\(708\) | 7.56072 | − | 7.56072i | 0.284149 | − | 0.284149i | ||||
\(709\) | 39.6174 | + | 22.8731i | 1.48786 | + | 0.859018i | 0.999904 | − | 0.0138494i | \(-0.00440856\pi\) |
0.487958 | + | 0.872867i | \(0.337742\pi\) | |||||||
\(710\) | 8.12973 | − | 14.7155i | 0.305103 | − | 0.552262i | ||||
\(711\) | 0.805197 | + | 1.39464i | 0.0301973 | + | 0.0523032i | ||||
\(712\) | −0.933068 | − | 3.48226i | −0.0349682 | − | 0.130503i | ||||
\(713\) | 40.2656 | + | 40.2656i | 1.50796 | + | 1.50796i | ||||
\(714\) | −0.0393884 | − | 0.0416611i | −0.00147407 | − | 0.00155913i | ||||
\(715\) | −3.66367 | − | 6.07787i | −0.137014 | − | 0.227300i | ||||
\(716\) | 0.753516 | − | 1.30513i | 0.0281602 | − | 0.0487749i | ||||
\(717\) | −4.05855 | − | 1.08748i | −0.151569 | − | 0.0406129i | ||||
\(718\) | 7.25042 | + | 1.94274i | 0.270583 | + | 0.0725025i | ||||
\(719\) | −8.05439 | + | 13.9506i | −0.300378 | + | 0.520270i | −0.976222 | − | 0.216775i | \(-0.930446\pi\) |
0.675844 | + | 0.737045i | \(0.263779\pi\) | |||||||
\(720\) | −0.537883 | + | 2.17041i | −0.0200457 | + | 0.0808864i | ||||
\(721\) | 9.06157 | − | 30.3845i | 0.337471 | − | 1.13158i | ||||
\(722\) | 10.6665 | + | 10.6665i | 0.396964 | + | 0.396964i | ||||
\(723\) | 5.67742 | + | 21.1884i | 0.211146 | + | 0.788006i | ||||
\(724\) | 10.6729 | + | 18.4859i | 0.396654 | + | 0.687025i | ||||
\(725\) | 28.0103 | − | 1.05753i | 1.04028 | − | 0.0392755i | ||||
\(726\) | −8.34928 | − | 4.82046i | −0.309871 | − | 0.178904i | ||||
\(727\) | 26.7345 | − | 26.7345i | 0.991528 | − | 0.991528i | −0.00843633 | − | 0.999964i | \(-0.502685\pi\) |
0.999964 | + | 0.00843633i | \(0.00268540\pi\) | |||||||
\(728\) | 3.77480 | − | 6.13436i | 0.139903 | − | 0.227355i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −6.03265 | − | 5.80918i | −0.223278 | − | 0.215007i | ||||
\(731\) | 0.209071 | − | 0.120707i | 0.00773278 | − | 0.00446452i | ||||
\(732\) | −0.943781 | + | 3.52224i | −0.0348831 | + | 0.130186i | ||||
\(733\) | −9.81640 | + | 2.63030i | −0.362577 | + | 0.0971523i | −0.435508 | − | 0.900185i | \(-0.643431\pi\) |
0.0729311 | + | 0.997337i | \(0.476765\pi\) | |||||||
\(734\) | 3.94796 | 0.145722 | ||||||||
\(735\) | −8.32494 | + | 13.2550i | −0.307070 | + | 0.488918i | ||||
\(736\) | 7.17989 | 0.264654 | ||||||||
\(737\) | 16.3936 | − | 4.39265i | 0.603865 | − | 0.161805i | ||||
\(738\) | −0.644400 | + | 2.40493i | −0.0237207 | + | 0.0885268i | ||||
\(739\) | 1.51357 | − | 0.873858i | 0.0556775 | − | 0.0321454i | −0.471903 | − | 0.881651i | \(-0.656433\pi\) |
0.527580 | + | 0.849505i | \(0.323099\pi\) | |||||||
\(740\) | 0.448091 | + | 23.7453i | 0.0164722 | + | 0.872894i | ||||
\(741\) | − | 5.38685i | − | 0.197891i | ||||||
\(742\) | −4.05879 | + | 6.59587i | −0.149003 | + | 0.242142i | ||||
\(743\) | 4.26452 | − | 4.26452i | 0.156450 | − | 0.156450i | −0.624542 | − | 0.780992i | \(-0.714714\pi\) |
0.780992 | + | 0.624542i | \(0.214714\pi\) | |||||||
\(744\) | −6.86850 | − | 3.96553i | −0.251812 | − | 0.145383i | ||||
\(745\) | 0.474412 | − | 0.136762i | 0.0173811 | − | 0.00501059i | ||||
\(746\) | 2.69706 | + | 4.67144i | 0.0987462 | + | 0.171033i | ||||
\(747\) | 3.56807 | + | 13.3162i | 0.130549 | + | 0.487215i | ||||
\(748\) | −0.0178634 | − | 0.0178634i | −0.000653150 | − | 0.000653150i | ||||
\(749\) | 5.22157 | − | 17.5085i | 0.190792 | − | 0.639747i | ||||
\(750\) | −7.44577 | + | 8.34030i | −0.271881 | + | 0.304545i | ||||
\(751\) | −7.54354 | + | 13.0658i | −0.275268 | + | 0.476778i | −0.970203 | − | 0.242295i | \(-0.922100\pi\) |
0.694935 | + | 0.719073i | \(0.255433\pi\) | |||||||
\(752\) | −3.94750 | − | 1.05773i | −0.143950 | − | 0.0385714i | ||||
\(753\) | −14.6138 | − | 3.91575i | −0.532555 | − | 0.142698i | ||||
\(754\) | 7.63089 | − | 13.2171i | 0.277901 | − | 0.481338i | ||||
\(755\) | 13.8230 | + | 3.42569i | 0.503071 | + | 0.124674i | ||||
\(756\) | −1.81766 | − | 1.92253i | −0.0661075 | − | 0.0699218i | ||||
\(757\) | −7.26095 | − | 7.26095i | −0.263904 | − | 0.263904i | 0.562734 | − | 0.826638i | \(-0.309749\pi\) |
−0.826638 | + | 0.562734i | \(0.809749\pi\) | |||||||
\(758\) | −0.640325 | − | 2.38973i | −0.0232576 | − | 0.0867987i | ||||
\(759\) | 4.18514 | + | 7.24888i | 0.151911 | + | 0.263118i | ||||
\(760\) | 3.87285 | + | 2.13959i | 0.140483 | + | 0.0776112i | ||||
\(761\) | −10.7048 | − | 6.18041i | −0.388048 | − | 0.224040i | 0.293266 | − | 0.956031i | \(-0.405258\pi\) |
−0.681314 | + | 0.731991i | \(0.738591\pi\) | |||||||
\(762\) | 1.36110 | − | 1.36110i | 0.0493074 | − | 0.0493074i | ||||
\(763\) | 0.0428131 | − | 1.52683i | 0.00154994 | − | 0.0552750i | ||||
\(764\) | 6.45086i | 0.233384i | ||||||||
\(765\) | 0.0484467 | 0.000914225i | 0.00175159 | 3.30539e-5i | ||||||
\(766\) | −20.8788 | + | 12.0544i | −0.754380 | + | 0.435542i | ||||
\(767\) | 7.53395 | − | 28.1171i | 0.272035 | − | 1.01525i | ||||
\(768\) | −0.965926 | + | 0.258819i | −0.0348548 | + | 0.00933933i | ||||
\(769\) | 17.1708 | 0.619196 | 0.309598 | − | 0.950867i | \(-0.399805\pi\) | ||||
0.309598 | + | 0.950867i | \(0.399805\pi\) | |||||||
\(770\) | −3.50306 | + | 5.94107i | −0.126242 | + | 0.214101i | ||||
\(771\) | 23.0143 | 0.828839 | ||||||||
\(772\) | 4.96349 | − | 1.32996i | 0.178640 | − | 0.0478664i | ||||
\(773\) | −0.327680 | + | 1.22292i | −0.0117858 | + | 0.0439853i | −0.971568 | − | 0.236759i | \(-0.923915\pi\) |
0.959783 | + | 0.280745i | \(0.0905814\pi\) | |||||||
\(774\) | 9.64800 | − | 5.57028i | 0.346790 | − | 0.200219i | ||||
\(775\) | −21.1092 | − | 33.5700i | −0.758266 | − | 1.20587i | ||||
\(776\) | 0.375475i | 0.0134788i | ||||||||
\(777\) | −23.9326 | − | 14.7270i | −0.858578 | − | 0.528329i | ||||
\(778\) | 4.56126 | − | 4.56126i | 0.163529 | − | 0.163529i | ||||
\(779\) | 4.26654 | + | 2.46329i | 0.152865 | + | 0.0882564i | ||||
\(780\) | 1.68620 | + | 5.84923i | 0.0603757 | + | 0.209436i | ||||
\(781\) | 4.38251 | + | 7.59072i | 0.156818 | + | 0.271617i | ||||
\(782\) | −0.0402690 | − | 0.150286i | −0.00144002 | − | 0.00537422i | ||||
\(783\) | −3.96407 | − | 3.96407i | −0.141664 | − | 0.141664i | ||||
\(784\) | −6.98900 | − | 0.392259i | −0.249607 | − | 0.0140092i | ||||
\(785\) | −27.7228 | + | 16.7110i | −0.989469 | + | 0.596441i | ||||
\(786\) | −8.57489 | + | 14.8522i | −0.305856 | + | 0.529759i | ||||
\(787\) | 14.8015 | + | 3.96605i | 0.527617 | + | 0.141375i | 0.512788 | − | 0.858515i | \(-0.328613\pi\) |
0.0148294 | + | 0.999890i | \(0.495279\pi\) | |||||||
\(788\) | 24.3626 | + | 6.52795i | 0.867883 | + | 0.232549i | ||||
\(789\) | 10.0602 | − | 17.4248i | 0.358154 | − | 0.620341i | ||||
\(790\) | −3.08399 | + | 1.85899i | −0.109723 | + | 0.0661400i | ||||
\(791\) | 11.5005 | + | 48.2971i | 0.408911 | + | 1.71725i | ||||
\(792\) | −0.824341 | − | 0.824341i | −0.0292917 | − | 0.0292917i | ||||
\(793\) | 2.56933 | + | 9.58887i | 0.0912396 | + | 0.340511i | ||||
\(794\) | 9.35833 | + | 16.2091i | 0.332115 | + | 0.575240i | ||||
\(795\) | −1.81306 | − | 6.28928i | −0.0643026 | − | 0.223058i | ||||
\(796\) | −4.27987 | − | 2.47098i | −0.151696 | − | 0.0875817i | ||||
\(797\) | −36.4737 | + | 36.4737i | −1.29197 | + | 1.29197i | −0.358396 | + | 0.933570i | \(0.616676\pi\) |
−0.933570 | + | 0.358396i | \(0.883324\pi\) | |||||||
\(798\) | −4.60542 | + | 2.48950i | −0.163030 | + | 0.0881273i | ||||
\(799\) | 0.0885594i | 0.00313301i | ||||||||
\(800\) | −4.87501 | − | 1.11096i | −0.172358 | − | 0.0392784i | ||||
\(801\) | −3.12211 | + | 1.80255i | −0.110314 | + | 0.0636900i | ||||
\(802\) | 4.85010 | − | 18.1008i | 0.171263 | − | 0.639163i | ||||
\(803\) | 4.21757 | − | 1.13009i | 0.148835 | − | 0.0398801i | ||||
\(804\) | −14.5582 | −0.513428 | ||||||||
\(805\) | −36.9791 | + | 20.9004i | −1.30334 | + | 0.736642i | ||||
\(806\) | −21.5914 | −0.760524 | ||||||||
\(807\) | 8.95373 | − | 2.39915i | 0.315186 | − | 0.0844539i | ||||
\(808\) | 3.60170 | − | 13.4417i | 0.126708 | − | 0.472879i | ||||
\(809\) | −12.0158 | + | 6.93731i | −0.422452 | + | 0.243903i | −0.696126 | − | 0.717920i | \(-0.745094\pi\) |
0.273674 | + | 0.961823i | \(0.411761\pi\) | |||||||
\(810\) | 2.23567 | − | 0.0421887i | 0.0785534 | − | 0.00148236i | ||||
\(811\) | − | 18.4047i | − | 0.646275i | −0.946352 | − | 0.323137i | \(-0.895262\pi\) | ||
0.946352 | − | 0.323137i | \(-0.104738\pi\) | |||||||
\(812\) | −14.8264 | − | 0.415739i | −0.520304 | − | 0.0145896i | ||||
\(813\) | 18.5473 | − | 18.5473i | 0.650481 | − | 0.650481i | ||||
\(814\) | −10.7232 | − | 6.19102i | −0.375846 | − | 0.216995i | ||||
\(815\) | 42.8747 | + | 23.6866i | 1.50183 | + | 0.829704i | ||||
\(816\) | 0.0108349 | + | 0.0187667i | 0.000379299 | + | 0.000656965i | ||||
\(817\) | −5.70544 | − | 21.2930i | −0.199608 | − | 0.744947i | ||||
\(818\) | 16.5135 | + | 16.5135i | 0.577381 | + | 0.577381i | ||||
\(819\) | −6.90233 | − | 2.05848i | −0.241187 | − | 0.0719292i | ||||
\(820\) | −5.40382 | − | 1.33920i | −0.188710 | − | 0.0467670i | ||||
\(821\) | −16.4402 | + | 28.4753i | −0.573768 | + | 0.993796i | 0.422406 | + | 0.906407i | \(0.361186\pi\) |
−0.996174 | + | 0.0873891i | \(0.972148\pi\) | |||||||
\(822\) | −9.88699 | − | 2.64921i | −0.344848 | − | 0.0924018i | ||||
\(823\) | 23.5835 | + | 6.31918i | 0.822069 | + | 0.220273i | 0.645251 | − | 0.763971i | \(-0.276753\pi\) |
0.176818 | + | 0.984244i | \(0.443420\pi\) | |||||||
\(824\) | −5.99204 | + | 10.3785i | −0.208743 | + | 0.361553i | ||||
\(825\) | −1.72000 | − | 5.56943i | −0.0598826 | − | 0.193903i | ||||
\(826\) | −27.5202 | + | 6.55309i | −0.957549 | + | 0.228011i | ||||
\(827\) | 1.94367 | + | 1.94367i | 0.0675881 | + | 0.0675881i | 0.740093 | − | 0.672505i | \(-0.234782\pi\) |
−0.672505 | + | 0.740093i | \(0.734782\pi\) | |||||||
\(828\) | −1.85829 | − | 6.93525i | −0.0645802 | − | 0.241016i | ||||
\(829\) | −8.99161 | − | 15.5739i | −0.312291 | − | 0.540905i | 0.666567 | − | 0.745446i | \(-0.267763\pi\) |
−0.978858 | + | 0.204541i | \(0.934430\pi\) | |||||||
\(830\) | −29.6201 | + | 8.53882i | −1.02813 | + | 0.296387i | ||||
\(831\) | −11.5177 | − | 6.64974i | −0.399544 | − | 0.230677i | ||||
\(832\) | −1.92501 | + | 1.92501i | −0.0667378 | + | 0.0667378i | ||||
\(833\) | 0.0309878 | + | 0.148490i | 0.00107366 | + | 0.00514489i | ||||
\(834\) | − | 5.65119i | − | 0.195685i | ||||||
\(835\) | 0.679672 | + | 36.0172i | 0.0235210 | + | 1.24643i | ||||
\(836\) | −1.99774 | + | 1.15339i | −0.0690932 | + | 0.0398910i | ||||
\(837\) | −2.05271 | + | 7.66082i | −0.0709521 | + | 0.264797i | ||||
\(838\) | 7.98909 | − | 2.14067i | 0.275979 | − | 0.0739483i | ||||
\(839\) | −4.25819 | −0.147009 | −0.0735045 | − | 0.997295i | \(-0.523418\pi\) | ||||
−0.0735045 | + | 0.997295i | \(0.523418\pi\) | |||||||
\(840\) | 4.22146 | − | 4.14479i | 0.145654 | − | 0.143009i | ||||
\(841\) | −2.42773 | −0.0837148 | ||||||||
\(842\) | −32.2357 | + | 8.63752i | −1.11091 | + | 0.297669i | ||||
\(843\) | −3.49667 | + | 13.0497i | −0.120432 | + | 0.449457i | ||||
\(844\) | −16.4939 | + | 9.52276i | −0.567743 | + | 0.327787i | ||||
\(845\) | −9.00158 | − | 8.66814i | −0.309664 | − | 0.298193i | ||||
\(846\) | 4.08675i | 0.140505i | ||||||||
\(847\) | 12.1296 | + | 22.4389i | 0.416776 | + | 0.771011i | ||||
\(848\) | 2.06984 | − | 2.06984i | 0.0710785 | − | 0.0710785i | ||||
\(849\) | −17.2262 | − | 9.94554i | −0.591201 | − | 0.341330i | ||||
\(850\) | 0.00408781 | + | 0.108272i | 0.000140211 | + | 0.00371371i | ||||
\(851\) | −38.1292 | − | 66.0417i | −1.30705 | − | 2.26388i | ||||
\(852\) | −1.94593 | − | 7.26230i | −0.0666664 | − | 0.248802i | ||||
\(853\) | −36.5310 | − | 36.5310i | −1.25080 | − | 1.25080i | −0.955362 | − | 0.295436i | \(-0.904535\pi\) |
−0.295436 | − | 0.955362i | \(-0.595465\pi\) | |||||||
\(854\) | 7.01049 | − | 6.62806i | 0.239894 | − | 0.226807i | ||||
\(855\) | 1.06432 | − | 4.29465i | 0.0363991 | − | 0.146874i | ||||
\(856\) | −3.45281 | + | 5.98043i | −0.118014 | + | 0.204407i | ||||
\(857\) | −3.06389 | − | 0.820966i | −0.104660 | − | 0.0280437i | 0.206109 | − | 0.978529i | \(-0.433920\pi\) |
−0.310769 | + | 0.950485i | \(0.600587\pi\) | |||||||
\(858\) | −3.06559 | − | 0.821423i | −0.104658 | − | 0.0280429i | ||||
\(859\) | −14.9376 | + | 25.8726i | −0.509663 | + | 0.882763i | 0.490274 | + | 0.871568i | \(0.336897\pi\) |
−0.999937 | + | 0.0111943i | \(0.996437\pi\) | |||||||
\(860\) | 12.8603 | + | 21.3347i | 0.438534 | + | 0.727509i | ||||
\(861\) | 4.78666 | − | 4.52554i | 0.163129 | − | 0.154230i | ||||
\(862\) | 17.2157 | + | 17.2157i | 0.586369 | + | 0.586369i | ||||
\(863\) | 8.36277 | + | 31.2103i | 0.284672 | + | 1.06241i | 0.949079 | + | 0.315039i | \(0.102018\pi\) |
−0.664407 | + | 0.747371i | \(0.731316\pi\) | |||||||
\(864\) | 0.500000 | + | 0.866025i | 0.0170103 | + | 0.0294628i | ||||
\(865\) | 11.2923 | − | 20.4400i | 0.383949 | − | 0.694980i | ||||
\(866\) | −22.1438 | − | 12.7847i | −0.752477 | − | 0.434443i | ||||
\(867\) | −12.0205 | + | 12.0205i | −0.408237 | + | 0.408237i | ||||
\(868\) | 9.97833 | + | 18.4593i | 0.338687 | + | 0.626549i | ||||
\(869\) | − | 1.87739i | − | 0.0636861i | ||||||
\(870\) | 8.69512 | − | 9.02960i | 0.294792 | − | 0.306132i | ||||
\(871\) | −34.3232 | + | 19.8165i | −1.16300 | + | 0.671456i | ||||
\(872\) | −0.149420 | + | 0.557643i | −0.00506000 | + | 0.0188842i | ||||
\(873\) | 0.362681 | − | 0.0971800i | 0.0122749 | − | 0.00328905i | ||||
\(874\) | −14.2070 | −0.480561 | ||||||||
\(875\) | 28.3421 | − | 8.46912i | 0.958138 | − | 0.286308i | ||||
\(876\) | −3.74538 | −0.126545 | ||||||||
\(877\) | −3.93603 | + | 1.05466i | −0.132910 | + | 0.0356132i | −0.324661 | − | 0.945830i | \(-0.605250\pi\) |
0.191751 | + | 0.981444i | \(0.438584\pi\) | |||||||
\(878\) | −4.19811 | + | 15.6675i | −0.141679 | + | 0.528754i | ||||
\(879\) | 21.3159 | − | 12.3068i | 0.718968 | − | 0.415096i | ||||
\(880\) | 1.80818 | − | 1.87773i | 0.0609537 | − | 0.0632984i | ||||
\(881\) | − | 19.0783i | − | 0.642764i | −0.946950 | − | 0.321382i | \(-0.895853\pi\) | ||
0.946950 | − | 0.321382i | \(-0.104147\pi\) | |||||||
\(882\) | 1.42999 | + | 6.85238i | 0.0481504 | + | 0.230732i | ||||
\(883\) | 6.02976 | − | 6.02976i | 0.202918 | − | 0.202918i | −0.598331 | − | 0.801249i | \(-0.704169\pi\) |
0.801249 | + | 0.598331i | \(0.204169\pi\) | |||||||
\(884\) | 0.0510900 | + | 0.0294968i | 0.00171834 | + | 0.000992086i | ||||
\(885\) | 11.5618 | − | 20.9277i | 0.388644 | − | 0.703478i | ||||
\(886\) | 10.8929 | + | 18.8671i | 0.365956 | + | 0.633854i | ||||
\(887\) | −11.2725 | − | 42.0695i | −0.378494 | − | 1.41256i | −0.848173 | − | 0.529720i | \(-0.822297\pi\) |
0.469679 | − | 0.882837i | \(-0.344370\pi\) | |||||||
\(888\) | 7.51026 | + | 7.51026i | 0.252028 | + | 0.252028i | ||||
\(889\) | −4.95424 | + | 1.17970i | −0.166160 | + | 0.0395660i | ||||
\(890\) | −4.16162 | − | 6.90395i | −0.139498 | − | 0.231421i | ||||
\(891\) | −0.582897 | + | 1.00961i | −0.0195278 | + | 0.0338231i | ||||
\(892\) | 4.02281 | + | 1.07791i | 0.134694 | + | 0.0360911i | ||||
\(893\) | 7.81102 | + | 2.09296i | 0.261386 | + | 0.0700381i | ||||
\(894\) | 0.110402 | − | 0.191221i | 0.00369239 | − | 0.00639540i | ||||
\(895\) | 0.810606 | − | 3.27088i | 0.0270956 | − | 0.109333i | ||||
\(896\) | 2.53540 | + | 0.756134i | 0.0847018 | + | 0.0252607i | ||||
\(897\) | −13.8214 | − | 13.8214i | −0.461483 | − | 0.461483i | ||||
\(898\) | 2.63085 | + | 9.81847i | 0.0877926 | + | 0.327647i | ||||
\(899\) | 22.2310 | + | 38.5051i | 0.741444 | + | 1.28422i | ||||
\(900\) | 0.188640 | + | 4.99644i | 0.00628801 | + | 0.166548i | ||||
\(901\) | −0.0549337 | − | 0.0317160i | −0.00183011 | − | 0.00105661i | ||||
\(902\) | 2.05242 | − | 2.05242i | 0.0683381 | − | 0.0683381i | ||||
\(903\) | −29.4636 | − | 0.826173i | −0.980486 | − | 0.0274933i | ||||
\(904\) | − | 18.7650i | − | 0.624115i | ||||||
\(905\) | 34.3813 | + | 33.1078i | 1.14287 | + | 1.10054i | ||||
\(906\) | 5.51559 | − | 3.18442i | 0.183243 | − | 0.105795i | ||||
\(907\) | −14.7658 | + | 55.1066i | −0.490290 | + | 1.82979i | 0.0646668 | + | 0.997907i | \(0.479402\pi\) |
−0.554957 | + | 0.831879i | \(0.687265\pi\) | |||||||
\(908\) | −17.8106 | + | 4.77234i | −0.591066 | + | 0.158376i | ||||
\(909\) | −13.9159 | −0.461562 | ||||||||
\(910\) | 4.31089 | − | 15.5182i | 0.142905 | − | 0.514422i | ||||
\(911\) | −32.4993 | −1.07675 | −0.538375 | − | 0.842705i | \(-0.680962\pi\) | ||||
−0.538375 | + | 0.842705i | \(0.680962\pi\) | |||||||
\(912\) | 1.91130 | − | 0.512132i | 0.0632896 | − | 0.0169584i | ||||
\(913\) | 4.15964 | − | 15.5240i | 0.137664 | − | 0.513769i | ||||
\(914\) | 24.7030 | − | 14.2623i | 0.817103 | − | 0.471755i | ||||
\(915\) | 0.153841 | + | 8.15234i | 0.00508582 | + | 0.269508i | ||||
\(916\) | 5.91011i | 0.195276i | ||||||||
\(917\) | 39.9156 | − | 21.5767i | 1.31813 | − | 0.712525i | ||||
\(918\) | 0.0153229 | − | 0.0153229i | 0.000505732 | − | 0.000505732i | ||||
\(919\) | −1.92544 | − | 1.11165i | −0.0635143 | − | 0.0366700i | 0.467907 | − | 0.883778i | \(-0.345008\pi\) |
−0.531421 | + | 0.847108i | \(0.678342\pi\) | |||||||
\(920\) | 15.4265 | − | 4.44712i | 0.508597 | − | 0.146617i | ||||
\(921\) | 0.400469 | + | 0.693633i | 0.0131959 | + | 0.0228560i | ||||
\(922\) | 5.20155 | + | 19.4125i | 0.171304 | + | 0.639315i | ||||
\(923\) | −14.4732 | − | 14.4732i | −0.476391 | − | 0.476391i | ||||
\(924\) | 0.714480 | + | 3.00051i | 0.0235047 | + | 0.0987095i | ||||
\(925\) | 15.6702 | + | 50.7409i | 0.515234 | + | 1.66835i | ||||
\(926\) | −5.19343 | + | 8.99529i | −0.170667 | + | 0.295604i | ||||
\(927\) | 11.5757 | + | 3.10171i | 0.380197 | + | 0.101874i | ||||
\(928\) | 5.41502 | + | 1.45095i | 0.177757 | + | 0.0476298i | ||||
\(929\) | −0.358305 | + | 0.620603i | −0.0117556 | + | 0.0203613i | −0.871843 | − | 0.489785i | \(-0.837075\pi\) |
0.860088 | + | 0.510146i | \(0.170409\pi\) | |||||||
\(930\) | −17.2137 | − | 4.26598i | −0.564458 | − | 0.139887i | ||||
\(931\) | 13.8293 | + | 0.776173i | 0.453238 | + | 0.0254380i | ||||
\(932\) | 5.11615 | + | 5.11615i | 0.167585 | + | 0.167585i | ||||
\(933\) | −3.46746 | − | 12.9407i | −0.113520 | − | 0.423661i | ||||
\(934\) | −11.8022 | − | 20.4420i | −0.386179 | − | 0.668882i | ||||
\(935\) | −0.0494451 | − | 0.0273165i | −0.00161703 | − | 0.000893344i | ||||
\(936\) | 2.35765 | + | 1.36119i | 0.0770622 | + | 0.0444919i | ||||
\(937\) | 11.6639 | − | 11.6639i | 0.381042 | − | 0.381042i | −0.490435 | − | 0.871478i | \(-0.663162\pi\) |
0.871478 | + | 0.490435i | \(0.163162\pi\) | |||||||
\(938\) | 32.8041 | + | 20.1861i | 1.07109 | + | 0.659100i | ||||
\(939\) | − | 28.7580i | − | 0.938481i | ||||||
\(940\) | −9.13663 | + | 0.172415i | −0.298004 | + | 0.00562355i | ||||
\(941\) | 26.7812 | − | 15.4621i | 0.873041 | − | 0.504051i | 0.00468360 | − | 0.999989i | \(-0.498509\pi\) |
0.868358 | + | 0.495938i | \(0.165176\pi\) | |||||||
\(942\) | −3.74673 | + | 13.9830i | −0.122075 | + | 0.455591i | ||||
\(943\) | 17.2672 | − | 4.62672i | 0.562296 | − | 0.150667i | ||||
\(944\) | 10.6925 | 0.348010 | ||||||||
\(945\) | −5.09615 | − | 3.00487i | −0.165778 | − | 0.0977484i | ||||
\(946\) | −12.9876 | −0.422263 | ||||||||
\(947\) | 15.7786 | − | 4.22786i | 0.512735 | − | 0.137387i | 0.00683099 | − | 0.999977i | \(-0.497826\pi\) |
0.505904 | + | 0.862590i | \(0.331159\pi\) | |||||||
\(948\) | −0.416801 | + | 1.55552i | −0.0135371 | + | 0.0505210i | ||||
\(949\) | −8.83030 | + | 5.09817i | −0.286644 | + | 0.165494i | ||||
\(950\) | 9.64632 | + | 2.19829i | 0.312968 | + | 0.0713219i | ||||
\(951\) | − | 33.7349i | − | 1.09393i | ||||||
\(952\) | 0.00160702 | − | 0.0573106i | 5.20838e−5 | − | 0.00185745i | ||||
\(953\) | −8.22927 | + | 8.22927i | −0.266572 | + | 0.266572i | −0.827717 | − | 0.561145i | \(-0.810361\pi\) |
0.561145 | + | 0.827717i | \(0.310361\pi\) | |||||||
\(954\) | −2.53502 | − | 1.46360i | −0.0820744 | − | 0.0473857i | ||||
\(955\) | 3.99556 | + | 13.8601i | 0.129293 | + | 0.448503i | ||||
\(956\) | −2.10086 | − | 3.63880i | −0.0679467 | − | 0.117687i | ||||
\(957\) | 1.69151 | + | 6.31281i | 0.0546788 | + | 0.204064i | ||||
\(958\) | −17.5210 | − | 17.5210i | −0.566079 | − | 0.566079i | ||||
\(959\) | 18.6051 | + | 19.6786i | 0.600789 | + | 0.635454i | ||||
\(960\) | −1.91505 | + | 1.15437i | −0.0618081 | + | 0.0372572i | ||||
\(961\) | 15.9509 | − | 27.6278i | 0.514545 | − | 0.891219i | ||||
\(962\) | 27.9294 | + | 7.48367i | 0.900481 | + | 0.241283i | ||||
\(963\) | 6.67031 | + | 1.78730i | 0.214948 | + | 0.0575951i | ||||
\(964\) | −10.9679 | + | 18.9970i | −0.353254 | + | 0.611853i | ||||
\(965\) | 9.84065 | − | 5.93183i | 0.316782 | − | 0.190952i | ||||
\(966\) | −5.42896 | + | 18.2039i | −0.174674 | + | 0.585701i | ||||
\(967\) | 1.15164 | + | 1.15164i | 0.0370342 | + | 0.0370342i | 0.725381 | − | 0.688347i | \(-0.241663\pi\) |
−0.688347 | + | 0.725381i | \(0.741663\pi\) | |||||||
\(968\) | −2.49525 | − | 9.31242i | −0.0802005 | − | 0.299312i | ||||
\(969\) | −0.0214394 | − | 0.0371341i | −0.000688733 | − | 0.00119292i | ||||
\(970\) | 0.232564 | + | 0.806735i | 0.00746717 | + | 0.0259027i | ||||
\(971\) | 12.4747 | + | 7.20230i | 0.400334 | + | 0.231133i | 0.686628 | − | 0.727009i | \(-0.259090\pi\) |
−0.286294 | + | 0.958142i | \(0.592424\pi\) | |||||||
\(972\) | 0.707107 | − | 0.707107i | 0.0226805 | − | 0.0226805i | ||||
\(973\) | −7.83582 | + | 12.7339i | −0.251205 | + | 0.408229i | ||||
\(974\) | − | 23.7668i | − | 0.761536i | ||||||
\(975\) | 7.24585 | + | 11.5231i | 0.232053 | + | 0.369034i | ||||
\(976\) | −3.15795 | + | 1.82324i | −0.101084 | + | 0.0583606i | ||||
\(977\) | −9.63078 | + | 35.9426i | −0.308116 | + | 1.14990i | 0.622114 | + | 0.782927i | \(0.286274\pi\) |
−0.930230 | + | 0.366977i | \(0.880393\pi\) | |||||||
\(978\) | 21.1592 | − | 5.66960i | 0.676598 | − | 0.181294i | ||||
\(979\) | 4.20281 | 0.134322 | ||||||||
\(980\) | −15.2593 | + | 3.48609i | −0.487441 | + | 0.111359i | ||||
\(981\) | 0.577314 | 0.0184322 | ||||||||
\(982\) | −0.372938 | + | 0.0999283i | −0.0119009 | + | 0.00318884i | ||||
\(983\) | 7.32286 | − | 27.3293i | 0.233563 | − | 0.871669i | −0.745228 | − | 0.666809i | \(-0.767659\pi\) |
0.978791 | − | 0.204860i | \(-0.0656739\pi\) | |||||||
\(984\) | −2.15620 | + | 1.24488i | −0.0687372 | + | 0.0396855i | ||||
\(985\) | 56.3882 | − | 1.06409i | 1.79668 | − | 0.0339046i | ||||
\(986\) | − | 0.121482i | − | 0.00386879i | ||||||
\(987\) | 5.66660 | − | 9.20871i | 0.180370 | − | 0.293116i | ||||
\(988\) | 3.80907 | − | 3.80907i | 0.121183 | − | 0.121183i | ||||
\(989\) | −69.2716 | − | 39.9940i | −2.20271 | − | 1.27174i | ||||
\(990\) | −2.28174 | − | 1.26057i | −0.0725185 | − | 0.0400636i | ||||
\(991\) | −18.6725 | − | 32.3417i | −0.593151 | − | 1.02737i | −0.993805 | − | 0.111139i | \(-0.964550\pi\) |
0.400654 | − | 0.916230i | \(-0.368783\pi\) | |||||||
\(992\) | −2.05271 | − | 7.66082i | −0.0651736 | − | 0.243231i | ||||
\(993\) | −7.73266 | − | 7.73266i | −0.245388 | − | 0.245388i | ||||
\(994\) | −5.68498 | + | 19.0624i | −0.180317 | + | 0.604622i | ||||
\(995\) | −10.7261 | − | 2.65820i | −0.340040 | − | 0.0842706i | ||||
\(996\) | −6.89298 | + | 11.9390i | −0.218413 | + | 0.378302i | ||||
\(997\) | 35.7963 | + | 9.59160i | 1.13368 | + | 0.303769i | 0.776408 | − | 0.630231i | \(-0.217040\pi\) |
0.357274 | + | 0.934000i | \(0.383706\pi\) | |||||||
\(998\) | −7.75163 | − | 2.07704i | −0.245373 | − | 0.0657476i | ||||
\(999\) | 5.31055 | − | 9.19815i | 0.168018 | − | 0.291017i |
(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 | 210.2.u.a.187.4 | yes | 16 | |
3.2 | odd | 2 | 630.2.bv.a.397.1 | 16 | |||
5.2 | odd | 4 | 1050.2.bc.g.943.3 | 16 | |||
5.3 | odd | 4 | 210.2.u.b.103.1 | yes | 16 | ||
5.4 | even | 2 | 1050.2.bc.h.607.2 | 16 | |||
7.2 | even | 3 | 1470.2.m.d.97.1 | 16 | |||
7.3 | odd | 6 | 210.2.u.b.157.1 | yes | 16 | ||
7.5 | odd | 6 | 1470.2.m.e.97.4 | 16 | |||
15.8 | even | 4 | 630.2.bv.b.523.4 | 16 | |||
21.17 | even | 6 | 630.2.bv.b.577.4 | 16 | |||
35.3 | even | 12 | inner | 210.2.u.a.73.4 | ✓ | 16 | |
35.17 | even | 12 | 1050.2.bc.h.493.2 | 16 | |||
35.23 | odd | 12 | 1470.2.m.e.1273.4 | 16 | |||
35.24 | odd | 6 | 1050.2.bc.g.157.3 | 16 | |||
35.33 | even | 12 | 1470.2.m.d.1273.1 | 16 | |||
105.38 | odd | 12 | 630.2.bv.a.73.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.u.a.73.4 | ✓ | 16 | 35.3 | even | 12 | inner | |
210.2.u.a.187.4 | yes | 16 | 1.1 | even | 1 | trivial | |
210.2.u.b.103.1 | yes | 16 | 5.3 | odd | 4 | ||
210.2.u.b.157.1 | yes | 16 | 7.3 | odd | 6 | ||
630.2.bv.a.73.1 | 16 | 105.38 | odd | 12 | |||
630.2.bv.a.397.1 | 16 | 3.2 | odd | 2 | |||
630.2.bv.b.523.4 | 16 | 15.8 | even | 4 | |||
630.2.bv.b.577.4 | 16 | 21.17 | even | 6 | |||
1050.2.bc.g.157.3 | 16 | 35.24 | odd | 6 | |||
1050.2.bc.g.943.3 | 16 | 5.2 | odd | 4 | |||
1050.2.bc.h.493.2 | 16 | 35.17 | even | 12 | |||
1050.2.bc.h.607.2 | 16 | 5.4 | even | 2 | |||
1470.2.m.d.97.1 | 16 | 7.2 | even | 3 | |||
1470.2.m.d.1273.1 | 16 | 35.33 | even | 12 | |||
1470.2.m.e.97.4 | 16 | 7.5 | odd | 6 | |||
1470.2.m.e.1273.4 | 16 | 35.23 | odd | 12 |