Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(4,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.t (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 9.8 | ||
Character | \(\chi\) | \(=\) | 175.9 |
Dual form | 175.2.t.a.39.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142369 | − | 0.319766i | −0.100670 | − | 0.226109i | 0.856188 | − | 0.516664i | \(-0.172827\pi\) |
−0.956858 | + | 0.290556i | \(0.906160\pi\) | |||||||
\(3\) | −2.46095 | − | 2.21585i | −1.42083 | − | 1.27932i | −0.906806 | − | 0.421548i | \(-0.861487\pi\) |
−0.514026 | − | 0.857775i | \(-0.671847\pi\) | |||||||
\(4\) | 1.25628 | − | 1.39524i | 0.628140 | − | 0.697620i | ||||
\(5\) | −1.42770 | − | 1.72095i | −0.638485 | − | 0.769634i | ||||
\(6\) | −0.358191 | + | 1.10240i | −0.146231 | + | 0.450052i | ||||
\(7\) | −0.494035 | + | 2.59922i | −0.186728 | + | 0.982412i | ||||
\(8\) | −1.29080 | − | 0.419406i | −0.456366 | − | 0.148282i | ||||
\(9\) | 0.832704 | + | 7.92265i | 0.277568 | + | 2.64088i | ||||
\(10\) | −0.347043 | + | 0.701540i | −0.109745 | + | 0.221846i | ||||
\(11\) | 0.207096 | − | 1.97039i | 0.0624418 | − | 0.594094i | −0.917903 | − | 0.396804i | \(-0.870119\pi\) |
0.980345 | − | 0.197290i | \(-0.0632140\pi\) | |||||||
\(12\) | −6.18329 | + | 0.649890i | −1.78496 | + | 0.187607i | ||||
\(13\) | 0.402360 | + | 0.553800i | 0.111594 | + | 0.153597i | 0.861161 | − | 0.508333i | \(-0.169738\pi\) |
−0.749566 | + | 0.661929i | \(0.769738\pi\) | |||||||
\(14\) | 0.901477 | − | 0.212072i | 0.240930 | − | 0.0566787i | ||||
\(15\) | −0.299887 | + | 7.39875i | −0.0774305 | + | 1.91035i | ||||
\(16\) | −0.342842 | − | 3.26193i | −0.0857106 | − | 0.815482i | ||||
\(17\) | −0.429340 | − | 2.01989i | −0.104130 | − | 0.489895i | −0.999046 | − | 0.0436602i | \(-0.986098\pi\) |
0.894916 | − | 0.446234i | \(-0.147235\pi\) | |||||||
\(18\) | 2.41484 | − | 1.39421i | 0.569184 | − | 0.328619i | ||||
\(19\) | −1.67695 | − | 1.86244i | −0.384718 | − | 0.427273i | 0.519416 | − | 0.854522i | \(-0.326150\pi\) |
−0.904134 | + | 0.427249i | \(0.859483\pi\) | |||||||
\(20\) | −4.19473 | − | 0.170021i | −0.937970 | − | 0.0380179i | ||||
\(21\) | 6.97528 | − | 5.30184i | 1.52213 | − | 1.15696i | ||||
\(22\) | −0.659547 | + | 0.214300i | −0.140616 | + | 0.0456889i | ||||
\(23\) | −2.82933 | − | 6.35478i | −0.589956 | − | 1.32506i | −0.923959 | − | 0.382491i | \(-0.875066\pi\) |
0.334003 | − | 0.942572i | \(-0.391600\pi\) | |||||||
\(24\) | 2.24725 | + | 3.89236i | 0.458719 | + | 0.794524i | ||||
\(25\) | −0.923368 | + | 4.91400i | −0.184674 | + | 0.982800i | ||||
\(26\) | 0.119803 | − | 0.207505i | 0.0234953 | − | 0.0406951i | ||||
\(27\) | 9.66676 | − | 13.3052i | 1.86037 | − | 2.56058i | ||||
\(28\) | 3.00589 | + | 3.95464i | 0.568059 | + | 0.747357i | ||||
\(29\) | 0.118919 | + | 0.365994i | 0.0220827 | + | 0.0679634i | 0.961491 | − | 0.274838i | \(-0.0886242\pi\) |
−0.939408 | + | 0.342801i | \(0.888624\pi\) | |||||||
\(30\) | 2.40857 | − | 0.957460i | 0.439742 | − | 0.174807i | ||||
\(31\) | −4.05216 | + | 0.861312i | −0.727789 | + | 0.154696i | −0.556883 | − | 0.830591i | \(-0.688003\pi\) |
−0.170906 | + | 0.985287i | \(0.554669\pi\) | |||||||
\(32\) | −3.34503 | + | 1.93125i | −0.591323 | + | 0.341400i | ||||
\(33\) | −4.87574 | + | 4.39013i | −0.848757 | + | 0.764224i | ||||
\(34\) | −0.584767 | + | 0.424858i | −0.100287 | + | 0.0728625i | ||||
\(35\) | 5.17847 | − | 2.86068i | 0.875321 | − | 0.483543i | ||||
\(36\) | 12.1001 | + | 8.79125i | 2.01669 | + | 1.46521i | ||||
\(37\) | 4.85677 | − | 0.510467i | 0.798448 | − | 0.0839203i | 0.303487 | − | 0.952836i | \(-0.401849\pi\) |
0.494961 | + | 0.868915i | \(0.335182\pi\) | |||||||
\(38\) | −0.356800 | + | 0.801385i | −0.0578805 | + | 0.130002i | ||||
\(39\) | 0.236952 | − | 2.25445i | 0.0379427 | − | 0.361000i | ||||
\(40\) | 1.12109 | + | 2.82019i | 0.177260 | + | 0.445911i | ||||
\(41\) | 6.19108 | − | 4.49808i | 0.966884 | − | 0.702483i | 0.0121450 | − | 0.999926i | \(-0.496134\pi\) |
0.954739 | + | 0.297444i | \(0.0961340\pi\) | |||||||
\(42\) | −2.68841 | − | 1.47564i | −0.414831 | − | 0.227696i | ||||
\(43\) | − | 2.62243i | − | 0.399917i | −0.979804 | − | 0.199958i | \(-0.935919\pi\) | ||
0.979804 | − | 0.199958i | \(-0.0640807\pi\) | |||||||
\(44\) | −2.48899 | − | 2.76430i | −0.375229 | − | 0.416735i | ||||
\(45\) | 12.4457 | − | 12.7442i | 1.85529 | − | 1.89979i | ||||
\(46\) | −1.62923 | + | 1.80945i | −0.240217 | + | 0.266788i | ||||
\(47\) | −0.331093 | + | 1.55767i | −0.0482948 | + | 0.227209i | −0.995675 | − | 0.0929000i | \(-0.970386\pi\) |
0.947381 | + | 0.320109i | \(0.103720\pi\) | |||||||
\(48\) | −6.38423 | + | 8.78714i | −0.921484 | + | 1.26831i | ||||
\(49\) | −6.51186 | − | 2.56821i | −0.930265 | − | 0.366887i | ||||
\(50\) | 1.70279 | − | 0.404340i | 0.240811 | − | 0.0571823i | ||||
\(51\) | −3.41919 | + | 5.92220i | −0.478782 | + | 0.829274i | ||||
\(52\) | 1.27816 | + | 0.134340i | 0.177249 | + | 0.0186296i | ||||
\(53\) | 2.10876 | + | 1.89873i | 0.289660 | + | 0.260811i | 0.801130 | − | 0.598490i | \(-0.204232\pi\) |
−0.511470 | + | 0.859301i | \(0.670899\pi\) | |||||||
\(54\) | −5.63078 | − | 1.19686i | −0.766253 | − | 0.162872i | ||||
\(55\) | −3.68661 | + | 2.45671i | −0.497103 | + | 0.331263i | ||||
\(56\) | 1.72783 | − | 3.14786i | 0.230890 | − | 0.420651i | ||||
\(57\) | 8.29925i | 1.09926i | ||||||||
\(58\) | 0.100102 | − | 0.0901325i | 0.0131441 | − | 0.0118350i | ||||
\(59\) | −2.16426 | − | 0.963593i | −0.281763 | − | 0.125449i | 0.260989 | − | 0.965342i | \(-0.415951\pi\) |
−0.542753 | + | 0.839893i | \(0.682618\pi\) | |||||||
\(60\) | 9.94629 | + | 9.71332i | 1.28406 | + | 1.25398i | ||||
\(61\) | 0.0852975 | − | 0.0379769i | 0.0109212 | − | 0.00486244i | −0.401269 | − | 0.915960i | \(-0.631431\pi\) |
0.412190 | + | 0.911098i | \(0.364764\pi\) | |||||||
\(62\) | 0.852320 | + | 1.17312i | 0.108245 | + | 0.148986i | ||||
\(63\) | −21.0041 | − | 1.74969i | −2.64627 | − | 0.220440i | ||||
\(64\) | −4.21320 | − | 3.06107i | −0.526650 | − | 0.382634i | ||||
\(65\) | 0.378618 | − | 1.48310i | 0.0469618 | − | 0.183956i | ||||
\(66\) | 2.09797 | + | 0.934077i | 0.258242 | + | 0.114977i | ||||
\(67\) | −1.96968 | − | 9.26663i | −0.240635 | − | 1.13210i | −0.918040 | − | 0.396488i | \(-0.870229\pi\) |
0.677405 | − | 0.735610i | \(-0.263105\pi\) | |||||||
\(68\) | −3.35760 | − | 1.93851i | −0.407169 | − | 0.235079i | ||||
\(69\) | −7.11840 | + | 21.9082i | −0.856955 | + | 2.63744i | ||||
\(70\) | −1.65200 | − | 1.24863i | −0.197452 | − | 0.149239i | ||||
\(71\) | −3.67099 | − | 11.2981i | −0.435666 | − | 1.34084i | −0.892403 | − | 0.451240i | \(-0.850982\pi\) |
0.456737 | − | 0.889602i | \(-0.349018\pi\) | |||||||
\(72\) | 2.24795 | − | 10.5758i | 0.264924 | − | 1.24637i | ||||
\(73\) | 15.8446 | + | 1.66534i | 1.85448 | + | 0.194913i | 0.965032 | − | 0.262133i | \(-0.0844258\pi\) |
0.889443 | + | 0.457046i | \(0.151092\pi\) | |||||||
\(74\) | −0.854684 | − | 1.48036i | −0.0993550 | − | 0.172088i | ||||
\(75\) | 13.1611 | − | 10.0471i | 1.51971 | − | 1.16014i | ||||
\(76\) | −4.70527 | −0.539731 | ||||||||
\(77\) | 5.01915 | + | 1.51173i | 0.571985 | + | 0.172277i | ||||
\(78\) | −0.754630 | + | 0.245194i | −0.0854450 | + | 0.0277628i | ||||
\(79\) | 10.4734 | + | 2.22619i | 1.17835 | + | 0.250466i | 0.755139 | − | 0.655565i | \(-0.227569\pi\) |
0.423212 | + | 0.906031i | \(0.360903\pi\) | |||||||
\(80\) | −5.12415 | + | 5.24706i | −0.572898 | + | 0.586639i | ||||
\(81\) | −29.8951 | + | 6.35439i | −3.32167 | + | 0.706044i | ||||
\(82\) | −2.31975 | − | 1.33931i | −0.256174 | − | 0.147902i | ||||
\(83\) | 14.3923 | + | 4.67633i | 1.57976 | + | 0.513294i | 0.961994 | − | 0.273070i | \(-0.0880392\pi\) |
0.617763 | + | 0.786365i | \(0.288039\pi\) | |||||||
\(84\) | 1.36556 | − | 16.3928i | 0.148995 | − | 1.78860i | ||||
\(85\) | −2.86317 | + | 3.62266i | −0.310554 | + | 0.392933i | ||||
\(86\) | −0.838564 | + | 0.373353i | −0.0904247 | + | 0.0402597i | ||||
\(87\) | 0.518336 | − | 1.16420i | 0.0555714 | − | 0.124815i | ||||
\(88\) | −1.09371 | + | 2.45651i | −0.116590 | + | 0.261865i | ||||
\(89\) | −11.4210 | + | 5.08498i | −1.21063 | + | 0.539006i | −0.909949 | − | 0.414719i | \(-0.863880\pi\) |
−0.300679 | + | 0.953726i | \(0.597213\pi\) | |||||||
\(90\) | −5.84704 | − | 2.16533i | −0.616332 | − | 0.228246i | ||||
\(91\) | −1.63823 | + | 0.772223i | −0.171733 | + | 0.0809510i | ||||
\(92\) | −12.4209 | − | 4.03579i | −1.29497 | − | 0.420760i | ||||
\(93\) | 11.8807 | + | 6.85933i | 1.23197 | + | 0.711279i | ||||
\(94\) | 0.545227 | − | 0.115892i | 0.0562359 | − | 0.0119533i | ||||
\(95\) | −0.811001 | + | 5.54495i | −0.0832070 | + | 0.568900i | ||||
\(96\) | 12.5113 | + | 2.65936i | 1.27693 | + | 0.271420i | ||||
\(97\) | 5.59057 | − | 1.81649i | 0.567636 | − | 0.184436i | −0.0111181 | − | 0.999938i | \(-0.503539\pi\) |
0.578754 | + | 0.815502i | \(0.303539\pi\) | |||||||
\(98\) | 0.105861 | + | 2.44791i | 0.0106935 | + | 0.247276i | ||||
\(99\) | 15.7831 | 1.58626 | ||||||||
\(100\) | 5.69620 | + | 7.46168i | 0.569620 | + | 0.746168i | ||||
\(101\) | 1.08982 | + | 1.88762i | 0.108441 | + | 0.187826i | 0.915139 | − | 0.403139i | \(-0.132081\pi\) |
−0.806698 | + | 0.590964i | \(0.798747\pi\) | |||||||
\(102\) | 2.38051 | + | 0.250201i | 0.235705 | + | 0.0247736i | ||||
\(103\) | 0.0337203 | − | 0.158641i | 0.00332256 | − | 0.0156314i | −0.976455 | − | 0.215721i | \(-0.930790\pi\) |
0.979778 | + | 0.200089i | \(0.0641232\pi\) | |||||||
\(104\) | −0.287098 | − | 0.883596i | −0.0281523 | − | 0.0866438i | ||||
\(105\) | −19.0828 | − | 4.43472i | −1.86229 | − | 0.432784i | ||||
\(106\) | 0.306929 | − | 0.944630i | 0.0298116 | − | 0.0917505i | ||||
\(107\) | −9.34620 | − | 5.39603i | −0.903531 | − | 0.521654i | −0.0251872 | − | 0.999683i | \(-0.508018\pi\) |
−0.878344 | + | 0.478029i | \(0.841352\pi\) | |||||||
\(108\) | −6.41973 | − | 30.2024i | −0.617739 | − | 2.90623i | ||||
\(109\) | 6.12890 | + | 2.72876i | 0.587042 | + | 0.261368i | 0.678691 | − | 0.734423i | \(-0.262547\pi\) |
−0.0916498 | + | 0.995791i | \(0.529214\pi\) | |||||||
\(110\) | 1.31043 | + | 0.829095i | 0.124945 | + | 0.0790511i | ||||
\(111\) | −13.0834 | − | 9.50565i | −1.24182 | − | 0.902236i | ||||
\(112\) | 8.64783 | + | 0.720385i | 0.817143 | + | 0.0680700i | ||||
\(113\) | 0.110059 | + | 0.151483i | 0.0103534 | + | 0.0142503i | 0.814162 | − | 0.580637i | \(-0.197197\pi\) |
−0.803809 | + | 0.594888i | \(0.797197\pi\) | |||||||
\(114\) | 2.65382 | − | 1.18156i | 0.248553 | − | 0.110663i | ||||
\(115\) | −6.89686 | + | 13.9418i | −0.643135 | + | 1.30008i | ||||
\(116\) | 0.660045 | + | 0.293871i | 0.0612836 | + | 0.0272852i | ||||
\(117\) | −4.05252 | + | 3.64891i | −0.374656 | + | 0.337342i | ||||
\(118\) | 0.829244i | 0.0763381i | ||||||||
\(119\) | 5.46223 | − | 0.118053i | 0.500722 | − | 0.0108219i | ||||
\(120\) | 3.49017 | − | 9.42452i | 0.318608 | − | 0.860337i | ||||
\(121\) | 6.92009 | + | 1.47091i | 0.629099 | + | 0.133719i | ||||
\(122\) | −0.0242874 | − | 0.0218685i | −0.00219888 | − | 0.00197988i | ||||
\(123\) | −25.2030 | − | 2.64895i | −2.27248 | − | 0.238848i | ||||
\(124\) | −3.88890 | + | 6.73578i | −0.349234 | + | 0.604891i | ||||
\(125\) | 9.77506 | − | 5.42662i | 0.874308 | − | 0.485372i | ||||
\(126\) | 2.43084 | + | 6.96550i | 0.216556 | + | 0.620536i | ||||
\(127\) | −4.15212 | + | 5.71490i | −0.368441 | + | 0.507115i | −0.952476 | − | 0.304613i | \(-0.901473\pi\) |
0.584035 | + | 0.811728i | \(0.301473\pi\) | |||||||
\(128\) | −1.98512 | + | 9.33924i | −0.175461 | + | 0.825480i | ||||
\(129\) | −5.81092 | + | 6.45368i | −0.511623 | + | 0.568215i | ||||
\(130\) | −0.528149 | + | 0.0900785i | −0.0463217 | + | 0.00790041i | ||||
\(131\) | 8.30445 | + | 9.22302i | 0.725563 | + | 0.805819i | 0.987224 | − | 0.159341i | \(-0.0509368\pi\) |
−0.261661 | + | 0.965160i | \(0.584270\pi\) | |||||||
\(132\) | 12.3181i | 1.07215i | ||||||||
\(133\) | 5.66936 | − | 3.43864i | 0.491596 | − | 0.298168i | ||||
\(134\) | −2.68273 | + | 1.94912i | −0.231753 | + | 0.168378i | ||||
\(135\) | −36.6988 | + | 2.35966i | −3.15853 | + | 0.203087i | ||||
\(136\) | −0.292961 | + | 2.78733i | −0.0251212 | + | 0.239012i | ||||
\(137\) | −3.60120 | + | 8.08843i | −0.307671 | + | 0.691041i | −0.999519 | − | 0.0310021i | \(-0.990130\pi\) |
0.691848 | + | 0.722043i | \(0.256797\pi\) | |||||||
\(138\) | 8.01894 | − | 0.842824i | 0.682617 | − | 0.0717460i | ||||
\(139\) | −10.7037 | − | 7.77667i | −0.907873 | − | 0.659609i | 0.0326028 | − | 0.999468i | \(-0.489620\pi\) |
−0.940476 | + | 0.339860i | \(0.889620\pi\) | |||||||
\(140\) | 2.51427 | − | 10.8190i | 0.212494 | − | 0.914374i | ||||
\(141\) | 4.26637 | − | 3.09970i | 0.359293 | − | 0.261042i | ||||
\(142\) | −3.09013 | + | 2.78236i | −0.259318 | + | 0.233491i | ||||
\(143\) | 1.17453 | − | 0.678114i | 0.0982189 | − | 0.0567067i | ||||
\(144\) | 25.5576 | − | 5.43244i | 2.12980 | − | 0.452703i | ||||
\(145\) | 0.460080 | − | 0.727182i | 0.0382075 | − | 0.0603892i | ||||
\(146\) | −1.72327 | − | 5.30367i | −0.142619 | − | 0.438935i | ||||
\(147\) | 10.3346 | + | 20.7496i | 0.852384 | + | 1.71139i | ||||
\(148\) | 5.38924 | − | 7.41765i | 0.442993 | − | 0.609727i | ||||
\(149\) | 3.76491 | − | 6.52101i | 0.308433 | − | 0.534222i | −0.669587 | − | 0.742734i | \(-0.733529\pi\) |
0.978020 | + | 0.208512i | \(0.0668620\pi\) | |||||||
\(150\) | −5.08644 | − | 2.77807i | −0.415306 | − | 0.226828i | ||||
\(151\) | 2.92040 | + | 5.05829i | 0.237659 | + | 0.411638i | 0.960042 | − | 0.279855i | \(-0.0902865\pi\) |
−0.722383 | + | 0.691493i | \(0.756953\pi\) | |||||||
\(152\) | 1.38348 | + | 3.10736i | 0.112215 | + | 0.252040i | ||||
\(153\) | 15.6454 | − | 5.08348i | 1.26485 | − | 0.410975i | ||||
\(154\) | −0.231172 | − | 1.82018i | −0.0186284 | − | 0.146674i | ||||
\(155\) | 7.26753 | + | 5.74388i | 0.583742 | + | 0.461360i | ||||
\(156\) | −2.84782 | − | 3.16282i | −0.228008 | − | 0.253228i | ||||
\(157\) | −9.84133 | + | 5.68190i | −0.785424 | + | 0.453465i | −0.838349 | − | 0.545134i | \(-0.816479\pi\) |
0.0529252 | + | 0.998598i | \(0.483146\pi\) | |||||||
\(158\) | −0.779229 | − | 3.66598i | −0.0619921 | − | 0.291650i | ||||
\(159\) | −0.982239 | − | 9.34538i | −0.0778966 | − | 0.741137i | ||||
\(160\) | 8.09928 | + | 2.99940i | 0.640304 | + | 0.237123i | ||||
\(161\) | 17.9152 | − | 4.21456i | 1.41192 | − | 0.332154i | ||||
\(162\) | 6.28805 | + | 8.65476i | 0.494036 | + | 0.679982i | ||||
\(163\) | 21.0440 | − | 2.21181i | 1.64829 | − | 0.173242i | 0.765639 | − | 0.643270i | \(-0.222423\pi\) |
0.882652 | + | 0.470028i | \(0.155756\pi\) | |||||||
\(164\) | 1.50182 | − | 14.2889i | 0.117273 | − | 1.11578i | ||||
\(165\) | 14.5163 | + | 2.12314i | 1.13009 | + | 0.165287i | ||||
\(166\) | −0.553681 | − | 5.26793i | −0.0429740 | − | 0.408870i | ||||
\(167\) | 6.64610 | + | 2.15945i | 0.514291 | + | 0.167103i | 0.554653 | − | 0.832082i | \(-0.312851\pi\) |
−0.0403619 | + | 0.999185i | \(0.512851\pi\) | |||||||
\(168\) | −11.2273 | + | 3.91814i | −0.866205 | + | 0.302291i | ||||
\(169\) | 3.87242 | − | 11.9181i | 0.297878 | − | 0.916775i | ||||
\(170\) | 1.56603 | + | 0.399789i | 0.120109 | + | 0.0306624i | ||||
\(171\) | 13.3591 | − | 14.8367i | 1.02159 | − | 1.13459i | ||||
\(172\) | −3.65892 | − | 3.29451i | −0.278990 | − | 0.251204i | ||||
\(173\) | −5.72399 | − | 12.8563i | −0.435187 | − | 0.977445i | −0.989419 | − | 0.145084i | \(-0.953655\pi\) |
0.554233 | − | 0.832362i | \(-0.313012\pi\) | |||||||
\(174\) | −0.446067 | −0.0338163 | ||||||||
\(175\) | −12.3164 | − | 4.82772i | −0.931030 | − | 0.364941i | ||||
\(176\) | −6.49826 | −0.489825 | ||||||||
\(177\) | 3.19098 | + | 7.16705i | 0.239848 | + | 0.538708i | ||||
\(178\) | 3.25201 | + | 2.92812i | 0.243748 | + | 0.219472i | ||||
\(179\) | 2.21065 | − | 2.45518i | 0.165232 | − | 0.183509i | −0.654843 | − | 0.755765i | \(-0.727265\pi\) |
0.820075 | + | 0.572257i | \(0.193932\pi\) | |||||||
\(180\) | −2.14595 | − | 33.3750i | −0.159950 | − | 2.48762i | ||||
\(181\) | 3.56291 | − | 10.9655i | 0.264829 | − | 0.815060i | −0.726904 | − | 0.686739i | \(-0.759041\pi\) |
0.991733 | − | 0.128321i | \(-0.0409587\pi\) | |||||||
\(182\) | 0.480164 | + | 0.413909i | 0.0355921 | + | 0.0306810i | ||||
\(183\) | −0.294064 | − | 0.0955473i | −0.0217379 | − | 0.00706306i | ||||
\(184\) | 0.986863 | + | 9.38937i | 0.0727525 | + | 0.692194i | ||||
\(185\) | −7.81248 | − | 7.62949i | −0.574385 | − | 0.560931i | ||||
\(186\) | 0.501936 | − | 4.77561i | 0.0368038 | − | 0.350164i | ||||
\(187\) | −4.06887 | + | 0.427656i | −0.297545 | + | 0.0312733i | ||||
\(188\) | 1.75738 | + | 2.41882i | 0.128170 | + | 0.176411i | ||||
\(189\) | 29.8073 | + | 31.6992i | 2.16816 | + | 2.30578i | ||||
\(190\) | 1.88855 | − | 0.530098i | 0.137010 | − | 0.0384574i | ||||
\(191\) | 1.81211 | + | 17.2411i | 0.131120 | + | 1.24752i | 0.840154 | + | 0.542348i | \(0.182465\pi\) |
−0.709034 | + | 0.705174i | \(0.750869\pi\) | |||||||
\(192\) | 3.58561 | + | 16.8690i | 0.258769 | + | 1.21741i | ||||
\(193\) | 12.4689 | − | 7.19892i | 0.897531 | − | 0.518190i | 0.0211329 | − | 0.999777i | \(-0.493273\pi\) |
0.876398 | + | 0.481587i | \(0.159939\pi\) | |||||||
\(194\) | −1.37677 | − | 1.52906i | −0.0988467 | − | 0.109780i | ||||
\(195\) | −4.21809 | + | 2.81088i | −0.302064 | + | 0.201291i | ||||
\(196\) | −11.7640 | + | 5.85922i | −0.840285 | + | 0.418515i | ||||
\(197\) | −14.6389 | + | 4.75647i | −1.04298 | + | 0.338885i | −0.779910 | − | 0.625892i | \(-0.784735\pi\) |
−0.263070 | + | 0.964777i | \(0.584735\pi\) | |||||||
\(198\) | −2.24703 | − | 5.04691i | −0.159689 | − | 0.358668i | ||||
\(199\) | 8.16842 | + | 14.1481i | 0.579044 | + | 1.00293i | 0.995589 | + | 0.0938184i | \(0.0299073\pi\) |
−0.416546 | + | 0.909115i | \(0.636759\pi\) | |||||||
\(200\) | 3.25284 | − | 5.95572i | 0.230011 | − | 0.421133i | ||||
\(201\) | −15.6862 | + | 27.1693i | −1.10642 | + | 1.91637i | ||||
\(202\) | 0.448441 | − | 0.617227i | 0.0315522 | − | 0.0434279i | ||||
\(203\) | −1.01005 | + | 0.128282i | −0.0708915 | + | 0.00900360i | ||||
\(204\) | 3.96744 | + | 12.2105i | 0.277776 | + | 0.854908i | ||||
\(205\) | −16.5800 | − | 4.23267i | −1.15800 | − | 0.295623i | ||||
\(206\) | −0.0555289 | + | 0.0118030i | −0.00386888 | + | 0.000822356i | ||||
\(207\) | 47.9907 | − | 27.7074i | 3.33558 | − | 1.92580i | ||||
\(208\) | 1.66851 | − | 1.50233i | 0.115690 | − | 0.104168i | ||||
\(209\) | −4.01701 | + | 2.91853i | −0.277863 | + | 0.201879i | ||||
\(210\) | 1.29873 | + | 6.73340i | 0.0896208 | + | 0.464649i | ||||
\(211\) | −12.1227 | − | 8.80769i | −0.834564 | − | 0.606346i | 0.0862826 | − | 0.996271i | \(-0.472501\pi\) |
−0.920847 | + | 0.389924i | \(0.872501\pi\) | |||||||
\(212\) | 5.29837 | − | 0.556882i | 0.363894 | − | 0.0382468i | ||||
\(213\) | −16.0009 | + | 35.9385i | −1.09636 | + | 2.46247i | ||||
\(214\) | −0.394858 | + | 3.75683i | −0.0269920 | + | 0.256811i | ||||
\(215\) | −4.51308 | + | 3.74403i | −0.307790 | + | 0.255341i | ||||
\(216\) | −18.0581 | + | 13.1200i | −1.22870 | + | 0.892701i | ||||
\(217\) | −0.236830 | − | 10.9580i | −0.0160771 | − | 0.743874i | ||||
\(218\) | − | 2.34830i | − | 0.159047i | ||||||
\(219\) | −35.3028 | − | 39.2077i | −2.38554 | − | 2.64941i | ||||
\(220\) | −1.20372 | + | 8.23003i | −0.0811547 | + | 0.554868i | ||||
\(221\) | 0.945865 | − | 1.05049i | 0.0636258 | − | 0.0706636i | ||||
\(222\) | −1.17691 | + | 5.53694i | −0.0789892 | + | 0.371615i | ||||
\(223\) | −8.70844 | + | 11.9861i | −0.583160 | + | 0.802651i | −0.994037 | − | 0.109039i | \(-0.965223\pi\) |
0.410877 | + | 0.911691i | \(0.365223\pi\) | |||||||
\(224\) | −3.36718 | − | 9.64856i | −0.224979 | − | 0.644671i | ||||
\(225\) | −39.7008 | − | 3.22361i | −2.64672 | − | 0.214907i | ||||
\(226\) | 0.0327701 | − | 0.0567595i | 0.00217983 | − | 0.00377558i | ||||
\(227\) | −9.72238 | − | 1.02186i | −0.645297 | − | 0.0678235i | −0.223774 | − | 0.974641i | \(-0.571838\pi\) |
−0.421523 | + | 0.906818i | \(0.638504\pi\) | |||||||
\(228\) | 11.5794 | + | 10.4262i | 0.766867 | + | 0.690490i | ||||
\(229\) | −4.24430 | − | 0.902153i | −0.280471 | − | 0.0596160i | 0.0655283 | − | 0.997851i | \(-0.479127\pi\) |
−0.345999 | + | 0.938235i | \(0.612460\pi\) | |||||||
\(230\) | 5.44003 | + | 0.220496i | 0.358705 | + | 0.0145391i | ||||
\(231\) | −9.00212 | − | 14.8420i | −0.592296 | − | 0.976531i | ||||
\(232\) | − | 0.522300i | − | 0.0342907i | ||||||
\(233\) | −1.50411 | + | 1.35431i | −0.0985378 | + | 0.0887238i | −0.716927 | − | 0.697148i | \(-0.754452\pi\) |
0.618390 | + | 0.785872i | \(0.287785\pi\) | |||||||
\(234\) | 1.74375 | + | 0.776368i | 0.113993 | + | 0.0507528i | ||||
\(235\) | 3.15338 | − | 1.65408i | 0.205704 | − | 0.107900i | ||||
\(236\) | −4.06337 | + | 1.80913i | −0.264503 | + | 0.117764i | ||||
\(237\) | −20.8417 | − | 28.6861i | −1.35381 | − | 1.86336i | ||||
\(238\) | −0.815403 | − | 1.72983i | −0.0528547 | − | 0.112128i | ||||
\(239\) | 4.56304 | + | 3.31524i | 0.295158 | + | 0.214445i | 0.725502 | − | 0.688220i | \(-0.241608\pi\) |
−0.430344 | + | 0.902665i | \(0.641608\pi\) | |||||||
\(240\) | 24.2370 | − | 1.55840i | 1.56449 | − | 0.100594i | ||||
\(241\) | −18.3804 | − | 8.18347i | −1.18398 | − | 0.527144i | −0.282211 | − | 0.959352i | \(-0.591068\pi\) |
−0.901774 | + | 0.432209i | \(0.857734\pi\) | |||||||
\(242\) | −0.514860 | − | 2.42222i | −0.0330964 | − | 0.155706i | ||||
\(243\) | 44.9226 | + | 25.9361i | 2.88179 | + | 1.66380i | ||||
\(244\) | 0.0541706 | − | 0.166720i | 0.00346792 | − | 0.0106732i | ||||
\(245\) | 4.87718 | + | 14.8732i | 0.311592 | + | 0.950216i | ||||
\(246\) | 2.74109 | + | 8.43621i | 0.174766 | + | 0.537873i | ||||
\(247\) | 0.356684 | − | 1.67806i | 0.0226952 | − | 0.106773i | ||||
\(248\) | 5.59175 | + | 0.587717i | 0.355077 | + | 0.0373201i | ||||
\(249\) | −25.0566 | − | 43.3994i | −1.58790 | − | 2.75032i | ||||
\(250\) | −3.12692 | − | 2.35315i | −0.197764 | − | 0.148826i | ||||
\(251\) | 19.9026 | 1.25624 | 0.628122 | − | 0.778115i | \(-0.283824\pi\) | ||||
0.628122 | + | 0.778115i | \(0.283824\pi\) | |||||||
\(252\) | −28.8282 | + | 27.1076i | −1.81601 | + | 1.70762i | ||||
\(253\) | −13.1073 | + | 4.25882i | −0.824049 | + | 0.267750i | ||||
\(254\) | 2.41856 | + | 0.514082i | 0.151754 | + | 0.0322564i | ||||
\(255\) | 15.0734 | − | 2.57084i | 0.943933 | − | 0.160992i | ||||
\(256\) | −6.91901 | + | 1.47068i | −0.432438 | + | 0.0919176i | ||||
\(257\) | 1.05160 | + | 0.607141i | 0.0655970 | + | 0.0378724i | 0.532440 | − | 0.846468i | \(-0.321275\pi\) |
−0.466843 | + | 0.884340i | \(0.654609\pi\) | |||||||
\(258\) | 2.89096 | + | 0.939331i | 0.179983 | + | 0.0584802i | ||||
\(259\) | −1.07260 | + | 12.8760i | −0.0666482 | + | 0.800075i | ||||
\(260\) | −1.59363 | − | 2.39145i | −0.0988328 | − | 0.148312i | ||||
\(261\) | −2.80062 | + | 1.24692i | −0.173354 | + | 0.0771822i | ||||
\(262\) | 1.76691 | − | 3.96855i | 0.109160 | − | 0.245178i | ||||
\(263\) | −6.14437 | + | 13.8005i | −0.378878 | + | 0.850975i | 0.618970 | + | 0.785414i | \(0.287550\pi\) |
−0.997849 | + | 0.0655603i | \(0.979117\pi\) | |||||||
\(264\) | 8.13484 | − | 3.62186i | 0.500665 | − | 0.222910i | ||||
\(265\) | 0.256969 | − | 6.33989i | 0.0157855 | − | 0.389456i | ||||
\(266\) | −1.90670 | − | 1.32331i | −0.116907 | − | 0.0811375i | ||||
\(267\) | 39.3742 | + | 12.7935i | 2.40966 | + | 0.782947i | ||||
\(268\) | −15.4036 | − | 8.89330i | −0.940927 | − | 0.543244i | ||||
\(269\) | −5.94756 | + | 1.26419i | −0.362629 | + | 0.0770792i | −0.385623 | − | 0.922656i | \(-0.626013\pi\) |
0.0229941 | + | 0.999736i | \(0.492680\pi\) | |||||||
\(270\) | 5.97931 | + | 11.3991i | 0.363889 | + | 0.693726i | ||||
\(271\) | 4.59307 | + | 0.976286i | 0.279009 | + | 0.0593052i | 0.345291 | − | 0.938496i | \(-0.387780\pi\) |
−0.0662819 | + | 0.997801i | \(0.521114\pi\) | |||||||
\(272\) | −6.44153 | + | 2.09298i | −0.390575 | + | 0.126906i | ||||
\(273\) | 5.74273 | + | 1.72967i | 0.347566 | + | 0.104684i | ||||
\(274\) | 3.09910 | 0.187224 | ||||||||
\(275\) | 9.49125 | + | 2.83706i | 0.572344 | + | 0.171081i | ||||
\(276\) | 21.6245 | + | 37.4547i | 1.30164 | + | 2.25451i | ||||
\(277\) | −18.4968 | − | 1.94410i | −1.11137 | − | 0.116809i | −0.468994 | − | 0.883201i | \(-0.655383\pi\) |
−0.642373 | + | 0.766392i | \(0.722050\pi\) | |||||||
\(278\) | −0.962845 | + | 4.52983i | −0.0577476 | + | 0.271681i | ||||
\(279\) | −10.1981 | − | 31.3866i | −0.610546 | − | 1.87907i | ||||
\(280\) | −7.88414 | + | 1.52068i | −0.471167 | + | 0.0908781i | ||||
\(281\) | 0.330573 | − | 1.01740i | 0.0197203 | − | 0.0606930i | −0.940712 | − | 0.339206i | \(-0.889842\pi\) |
0.960432 | + | 0.278513i | \(0.0898416\pi\) | |||||||
\(282\) | −1.59858 | − | 0.922939i | −0.0951939 | − | 0.0549602i | ||||
\(283\) | −1.91910 | − | 9.02864i | −0.114079 | − | 0.536697i | −0.997657 | − | 0.0684141i | \(-0.978206\pi\) |
0.883578 | − | 0.468283i | \(-0.155127\pi\) | |||||||
\(284\) | −20.3754 | − | 9.07171i | −1.20906 | − | 0.538307i | ||||
\(285\) | 14.2826 | − | 11.8488i | 0.846030 | − | 0.701862i | ||||
\(286\) | −0.384054 | − | 0.279032i | −0.0227096 | − | 0.0164995i | ||||
\(287\) | 8.63288 | + | 18.3142i | 0.509583 | + | 1.08105i | ||||
\(288\) | −18.0861 | − | 24.8933i | −1.06573 | − | 1.46685i | ||||
\(289\) | 11.6347 | − | 5.18009i | 0.684392 | − | 0.304711i | ||||
\(290\) | −0.298029 | − | 0.0435896i | −0.0175009 | − | 0.00255967i | ||||
\(291\) | −17.7832 | − | 7.91759i | −1.04247 | − | 0.464137i | ||||
\(292\) | 22.2289 | − | 20.0149i | 1.30085 | − | 1.17129i | ||||
\(293\) | − | 1.78303i | − | 0.104166i | −0.998643 | − | 0.0520830i | \(-0.983414\pi\) | ||
0.998643 | − | 0.0520830i | \(-0.0165860\pi\) | |||||||
\(294\) | 5.16368 | − | 6.25875i | 0.301152 | − | 0.365018i | ||||
\(295\) | 1.43161 | + | 5.10032i | 0.0833517 | + | 0.296952i | ||||
\(296\) | −6.48320 | − | 1.37805i | −0.376828 | − | 0.0800974i | ||||
\(297\) | −24.2143 | − | 21.8027i | −1.40506 | − | 1.26512i | ||||
\(298\) | −2.62121 | − | 0.275500i | −0.151842 | − | 0.0159593i | ||||
\(299\) | 2.38087 | − | 4.12379i | 0.137689 | − | 0.238485i | ||||
\(300\) | 2.51589 | − | 30.9848i | 0.145255 | − | 1.78891i | ||||
\(301\) | 6.81626 | + | 1.29557i | 0.392883 | + | 0.0746756i | ||||
\(302\) | 1.20169 | − | 1.65399i | 0.0691498 | − | 0.0951765i | ||||
\(303\) | 1.50070 | − | 7.06023i | 0.0862129 | − | 0.405600i | ||||
\(304\) | −5.50021 | + | 6.10861i | −0.315459 | + | 0.350353i | ||||
\(305\) | −0.187135 | − | 0.0925736i | −0.0107153 | − | 0.00530075i | ||||
\(306\) | −3.85294 | − | 4.27912i | −0.220258 | − | 0.244621i | ||||
\(307\) | 0.257855i | 0.0147166i | 0.999973 | + | 0.00735829i | \(0.00234224\pi\) | ||||
−0.999973 | + | 0.00735829i | \(0.997658\pi\) | |||||||
\(308\) | 8.41468 | − | 5.10376i | 0.479471 | − | 0.290814i | ||||
\(309\) | −0.434510 | + | 0.315690i | −0.0247184 | + | 0.0179590i | ||||
\(310\) | 0.802029 | − | 3.14166i | 0.0455522 | − | 0.178434i | ||||
\(311\) | −0.155825 | + | 1.48258i | −0.00883603 | + | 0.0840692i | −0.998051 | − | 0.0624004i | \(-0.980124\pi\) |
0.989215 | + | 0.146470i | \(0.0467911\pi\) | |||||||
\(312\) | −1.25138 | + | 2.81066i | −0.0708457 | + | 0.159122i | ||||
\(313\) | 15.9996 | − | 1.68163i | 0.904353 | − | 0.0950513i | 0.359077 | − | 0.933308i | \(-0.383092\pi\) |
0.545276 | + | 0.838257i | \(0.316425\pi\) | |||||||
\(314\) | 3.21798 | + | 2.33800i | 0.181601 | + | 0.131941i | ||||
\(315\) | 26.9763 | + | 38.6451i | 1.51994 | + | 2.17740i | ||||
\(316\) | 16.2636 | − | 11.8162i | 0.914899 | − | 0.664713i | ||||
\(317\) | −14.1412 | + | 12.7328i | −0.794251 | + | 0.715147i | −0.962702 | − | 0.270563i | \(-0.912790\pi\) |
0.168451 | + | 0.985710i | \(0.446123\pi\) | |||||||
\(318\) | −2.84850 | + | 1.64458i | −0.159736 | + | 0.0922235i | ||||
\(319\) | 0.745777 | − | 0.158520i | 0.0417555 | − | 0.00887541i | ||||
\(320\) | 0.747210 | + | 11.6210i | 0.0417703 | + | 0.649634i | ||||
\(321\) | 11.0438 | + | 33.9892i | 0.616402 | + | 1.89709i | ||||
\(322\) | −3.89825 | − | 5.12866i | −0.217241 | − | 0.285809i | ||||
\(323\) | −3.04194 | + | 4.18687i | −0.169258 | + | 0.232963i | ||||
\(324\) | −28.6907 | + | 49.6937i | −1.59393 | + | 2.76076i | ||||
\(325\) | −3.09290 | + | 1.46583i | −0.171563 | + | 0.0813098i | ||||
\(326\) | −3.70327 | − | 6.41426i | −0.205105 | − | 0.355253i | ||||
\(327\) | −9.03640 | − | 20.2961i | −0.499714 | − | 1.12238i | ||||
\(328\) | −9.87796 | + | 3.20954i | −0.545419 | + | 0.177217i | ||||
\(329\) | −3.88515 | − | 1.63012i | −0.214195 | − | 0.0898717i | ||||
\(330\) | −1.38776 | − | 4.94409i | −0.0763937 | − | 0.272163i | ||||
\(331\) | −17.3226 | − | 19.2388i | −0.952139 | − | 1.05746i | −0.998286 | − | 0.0585227i | \(-0.981361\pi\) |
0.0461472 | − | 0.998935i | \(-0.485306\pi\) | |||||||
\(332\) | 24.6053 | − | 14.2059i | 1.35039 | − | 0.779649i | ||||
\(333\) | 8.08851 | + | 38.0534i | 0.443247 | + | 2.08532i | ||||
\(334\) | −0.255681 | − | 2.43264i | −0.0139902 | − | 0.133108i | ||||
\(335\) | −13.1353 | + | 16.6197i | −0.717660 | + | 0.908029i | ||||
\(336\) | −19.6856 | − | 20.9352i | −1.07394 | − | 1.14211i | ||||
\(337\) | −17.3678 | − | 23.9047i | −0.946083 | − | 1.30217i | −0.953245 | − | 0.302197i | \(-0.902280\pi\) |
0.00716258 | − | 0.999974i | \(-0.497720\pi\) | |||||||
\(338\) | −4.36231 | + | 0.458497i | −0.237278 | + | 0.0249390i | ||||
\(339\) | 0.0648142 | − | 0.616666i | 0.00352022 | − | 0.0334927i | ||||
\(340\) | 1.45754 | + | 8.54588i | 0.0790463 | + | 0.463465i | ||||
\(341\) | 0.857933 | + | 8.16269i | 0.0464597 | + | 0.442034i | ||||
\(342\) | −6.64620 | − | 2.15948i | −0.359386 | − | 0.116771i | ||||
\(343\) | 9.89242 | − | 15.6569i | 0.534141 | − | 0.845396i | ||||
\(344\) | −1.09986 | + | 3.38503i | −0.0593006 | + | 0.182508i | ||||
\(345\) | 47.8659 | − | 19.0278i | 2.57701 | − | 1.02442i | ||||
\(346\) | −3.29609 | + | 3.66068i | −0.177199 | + | 0.196799i | ||||
\(347\) | 20.2828 | + | 18.2627i | 1.08884 | + | 0.980394i | 0.999878 | − | 0.0156409i | \(-0.00497885\pi\) |
0.0889605 | + | 0.996035i | \(0.471646\pi\) | |||||||
\(348\) | −0.973165 | − | 2.18577i | −0.0521671 | − | 0.117169i | ||||
\(349\) | 28.1648 | 1.50763 | 0.753813 | − | 0.657089i | \(-0.228212\pi\) | ||||
0.753813 | + | 0.657089i | \(0.228212\pi\) | |||||||
\(350\) | 0.209729 | + | 4.62568i | 0.0112105 | + | 0.247253i | ||||
\(351\) | 11.2579 | 0.600903 | ||||||||
\(352\) | 3.11257 | + | 6.99095i | 0.165901 | + | 0.372619i | ||||
\(353\) | 4.28926 | + | 3.86207i | 0.228294 | + | 0.205557i | 0.775337 | − | 0.631547i | \(-0.217580\pi\) |
−0.547043 | + | 0.837105i | \(0.684247\pi\) | |||||||
\(354\) | 1.83748 | − | 2.04073i | 0.0976611 | − | 0.108464i | ||||
\(355\) | −14.2025 | + | 22.4479i | −0.753791 | + | 1.19141i | ||||
\(356\) | −7.25326 | + | 22.3232i | −0.384422 | + | 1.18313i | ||||
\(357\) | −13.7039 | − | 11.8130i | −0.725287 | − | 0.625209i | ||||
\(358\) | −1.09981 | − | 0.357350i | −0.0581268 | − | 0.0188866i | ||||
\(359\) | 1.34774 | + | 12.8229i | 0.0711311 | + | 0.676767i | 0.970750 | + | 0.240092i | \(0.0771775\pi\) |
−0.899619 | + | 0.436675i | \(0.856156\pi\) | |||||||
\(360\) | −21.4098 | + | 11.2304i | −1.12840 | + | 0.591893i | ||||
\(361\) | 1.32951 | − | 12.6495i | 0.0699745 | − | 0.665762i | ||||
\(362\) | −4.01365 | + | 0.421851i | −0.210953 | + | 0.0221720i | ||||
\(363\) | −13.7707 | − | 18.9537i | −0.722774 | − | 0.994814i | ||||
\(364\) | −0.980635 | + | 3.25585i | −0.0513993 | + | 0.170653i | ||||
\(365\) | −19.7554 | − | 29.6455i | −1.03404 | − | 1.55172i | ||||
\(366\) | 0.0113129 | + | 0.107635i | 0.000591333 | + | 0.00562616i | ||||
\(367\) | 2.24732 | + | 10.5728i | 0.117309 | + | 0.551896i | 0.997071 | + | 0.0764814i | \(0.0243686\pi\) |
−0.879762 | + | 0.475415i | \(0.842298\pi\) | |||||||
\(368\) | −19.7588 | + | 11.4078i | −1.03000 | + | 0.594670i | ||||
\(369\) | 40.7921 | + | 45.3042i | 2.12355 | + | 2.35844i | ||||
\(370\) | −1.32740 | + | 3.58437i | −0.0690080 | + | 0.186343i | ||||
\(371\) | −5.97702 | + | 4.54307i | −0.310311 | + | 0.235865i | ||||
\(372\) | 24.4959 | − | 7.95920i | 1.27005 | − | 0.412665i | ||||
\(373\) | −0.690182 | − | 1.55017i | −0.0357363 | − | 0.0802650i | 0.894795 | − | 0.446476i | \(-0.147321\pi\) |
−0.930532 | + | 0.366211i | \(0.880655\pi\) | |||||||
\(374\) | 0.716031 | + | 1.24020i | 0.0370251 | + | 0.0641293i | ||||
\(375\) | −36.0806 | − | 8.30541i | −1.86319 | − | 0.428890i | ||||
\(376\) | 1.08067 | − | 1.87177i | 0.0557312 | − | 0.0965293i | ||||
\(377\) | −0.154840 | + | 0.213119i | −0.00797465 | + | 0.0109762i | ||||
\(378\) | 5.89271 | − | 14.0443i | 0.303088 | − | 0.722363i | ||||
\(379\) | 7.75941 | + | 23.8810i | 0.398574 | + | 1.22669i | 0.926143 | + | 0.377173i | \(0.123104\pi\) |
−0.527569 | + | 0.849512i | \(0.676896\pi\) | |||||||
\(380\) | 6.71769 | + | 8.09755i | 0.344610 | + | 0.415395i | ||||
\(381\) | 22.8815 | − | 4.86362i | 1.17226 | − | 0.249171i | ||||
\(382\) | 5.25513 | − | 3.03405i | 0.268876 | − | 0.155236i | ||||
\(383\) | 1.99446 | − | 1.79582i | 0.101912 | − | 0.0917623i | −0.616600 | − | 0.787277i | \(-0.711490\pi\) |
0.718512 | + | 0.695515i | \(0.244824\pi\) | |||||||
\(384\) | 25.5797 | − | 18.5847i | 1.30536 | − | 0.948397i | ||||
\(385\) | −4.56420 | − | 10.7960i | −0.232613 | − | 0.550216i | ||||
\(386\) | −4.07716 | − | 2.96223i | −0.207522 | − | 0.150773i | ||||
\(387\) | 20.7766 | − | 2.18371i | 1.05613 | − | 0.111004i | ||||
\(388\) | 4.48888 | − | 10.0822i | 0.227889 | − | 0.511846i | ||||
\(389\) | −1.59207 | + | 15.1475i | −0.0807210 | + | 0.768009i | 0.877035 | + | 0.480426i | \(0.159518\pi\) |
−0.957756 | + | 0.287582i | \(0.907149\pi\) | |||||||
\(390\) | 1.49935 | + | 0.948621i | 0.0759226 | + | 0.0480353i | ||||
\(391\) | −11.6212 | + | 8.44329i | −0.587709 | + | 0.426995i | ||||
\(392\) | 7.32837 | + | 6.04615i | 0.370139 | + | 0.305377i | ||||
\(393\) | − | 41.0989i | − | 2.07316i | ||||||
\(394\) | 3.60509 | + | 4.00385i | 0.181622 | + | 0.201711i | ||||
\(395\) | −11.1217 | − | 21.2026i | −0.559592 | − | 1.06682i | ||||
\(396\) | 19.8280 | − | 22.0213i | 0.996396 | − | 1.10661i | ||||
\(397\) | 3.72027 | − | 17.5025i | 0.186715 | − | 0.878425i | −0.780636 | − | 0.624986i | \(-0.785105\pi\) |
0.967351 | − | 0.253439i | \(-0.0815618\pi\) | |||||||
\(398\) | 3.36116 | − | 4.62624i | 0.168480 | − | 0.231892i | ||||
\(399\) | −21.5715 | − | 4.10012i | −1.07993 | − | 0.205263i | ||||
\(400\) | 16.3457 | + | 1.32723i | 0.817284 | + | 0.0663615i | ||||
\(401\) | −3.85330 | + | 6.67411i | −0.192425 | + | 0.333289i | −0.946053 | − | 0.324011i | \(-0.894968\pi\) |
0.753629 | + | 0.657300i | \(0.228302\pi\) | |||||||
\(402\) | 10.9210 | + | 1.14785i | 0.544692 | + | 0.0572494i | ||||
\(403\) | −2.10742 | − | 1.89753i | −0.104978 | − | 0.0945226i | ||||
\(404\) | 4.00281 | + | 0.850823i | 0.199147 | + | 0.0423300i | ||||
\(405\) | 53.6167 | + | 42.3759i | 2.66423 | + | 2.10568i | ||||
\(406\) | 0.184820 | + | 0.304716i | 0.00917245 | + | 0.0151228i | ||||
\(407\) | − | 9.67543i | − | 0.479593i | ||||||
\(408\) | 6.89728 | − | 6.21034i | 0.341466 | − | 0.307458i | ||||
\(409\) | 27.2242 | + | 12.1210i | 1.34615 | + | 0.599344i | 0.948086 | − | 0.318014i | \(-0.103016\pi\) |
0.398062 | + | 0.917358i | \(0.369683\pi\) | |||||||
\(410\) | 1.00701 | + | 5.90432i | 0.0497327 | + | 0.291593i | ||||
\(411\) | 26.7851 | − | 11.9255i | 1.32121 | − | 0.588242i | ||||
\(412\) | −0.178981 | − | 0.246346i | −0.00881775 | − | 0.0121366i | ||||
\(413\) | 3.57381 | − | 5.14934i | 0.175856 | − | 0.253383i | ||||
\(414\) | −15.6923 | − | 11.4011i | −0.771234 | − | 0.560334i | ||||
\(415\) | −12.5000 | − | 31.4448i | −0.613603 | − | 1.54357i | ||||
\(416\) | −2.41543 | − | 1.07542i | −0.118426 | − | 0.0527268i | ||||
\(417\) | 9.10928 | + | 42.8558i | 0.446083 | + | 2.09866i | ||||
\(418\) | 1.50515 | + | 0.868996i | 0.0736191 | + | 0.0425040i | ||||
\(419\) | −3.90031 | + | 12.0039i | −0.190543 | + | 0.586430i | −1.00000 | 0.000749307i | \(-0.999761\pi\) | |
0.809457 | + | 0.587179i | \(0.199761\pi\) | |||||||
\(420\) | −30.1608 | + | 21.0539i | −1.47170 | + | 1.02732i | ||||
\(421\) | −3.35296 | − | 10.3193i | −0.163413 | − | 0.502934i | 0.835503 | − | 0.549486i | \(-0.185176\pi\) |
−0.998916 | + | 0.0465526i | \(0.985176\pi\) | |||||||
\(422\) | −1.09050 | + | 5.13039i | −0.0530846 | + | 0.249743i | ||||
\(423\) | −12.6166 | − | 1.32605i | −0.613438 | − | 0.0644750i | ||||
\(424\) | −1.92564 | − | 3.33530i | −0.0935173 | − | 0.161977i | ||||
\(425\) | 10.3222 | − | 0.244679i | 0.500698 | − | 0.0118687i | ||||
\(426\) | 13.7700 | 0.667157 | ||||||||
\(427\) | 0.0565702 | + | 0.240469i | 0.00273762 | + | 0.0116371i | ||||
\(428\) | −19.2702 | + | 6.26127i | −0.931461 | + | 0.302650i | ||||
\(429\) | −4.39306 | − | 0.933773i | −0.212099 | − | 0.0450830i | ||||
\(430\) | 1.83974 | + | 0.910096i | 0.0887201 | + | 0.0438888i | ||||
\(431\) | 28.9135 | − | 6.14575i | 1.39271 | − | 0.296031i | 0.550348 | − | 0.834936i | \(-0.314495\pi\) |
0.842367 | + | 0.538905i | \(0.181162\pi\) | |||||||
\(432\) | −46.7146 | − | 26.9707i | −2.24756 | − | 1.29763i | ||||
\(433\) | −21.6200 | − | 7.02477i | −1.03899 | − | 0.337589i | −0.260653 | − | 0.965433i | \(-0.583938\pi\) |
−0.778340 | + | 0.627844i | \(0.783938\pi\) | |||||||
\(434\) | −3.47027 | + | 1.63580i | −0.166578 | + | 0.0785211i | ||||
\(435\) | −2.74356 | + | 0.770093i | −0.131544 | + | 0.0369231i | ||||
\(436\) | 11.5069 | − | 5.12319i | 0.551080 | − | 0.245357i | ||||
\(437\) | −7.09075 | + | 15.9261i | −0.339197 | + | 0.761848i | ||||
\(438\) | −7.51127 | + | 16.8706i | −0.358903 | + | 0.806108i | ||||
\(439\) | −28.1429 | + | 12.5300i | −1.34319 | + | 0.598025i | −0.947322 | − | 0.320284i | \(-0.896222\pi\) |
−0.395864 | + | 0.918309i | \(0.629555\pi\) | |||||||
\(440\) | 5.78903 | − | 1.62493i | 0.275981 | − | 0.0774654i | ||||
\(441\) | 14.9246 | − | 53.7297i | 0.710694 | − | 2.55856i | ||||
\(442\) | −0.470573 | − | 0.152898i | −0.0223829 | − | 0.00727264i | ||||
\(443\) | −3.45416 | − | 1.99426i | −0.164112 | − | 0.0947501i | 0.415695 | − | 0.909504i | \(-0.363539\pi\) |
−0.579807 | + | 0.814754i | \(0.696872\pi\) | |||||||
\(444\) | −29.6991 | + | 6.31273i | −1.40946 | + | 0.299589i | ||||
\(445\) | 25.0568 | + | 12.3953i | 1.18781 | + | 0.587593i | ||||
\(446\) | 5.07258 | + | 1.07821i | 0.240193 | + | 0.0510547i | ||||
\(447\) | −23.7149 | + | 7.70542i | −1.12167 | + | 0.364454i | ||||
\(448\) | 10.0379 | − | 9.43875i | 0.474244 | − | 0.445939i | ||||
\(449\) | 13.3512 | 0.630080 | 0.315040 | − | 0.949078i | \(-0.397982\pi\) | ||||
0.315040 | + | 0.949078i | \(0.397982\pi\) | |||||||
\(450\) | 4.62136 | + | 13.1539i | 0.217853 | + | 0.620082i | ||||
\(451\) | −7.58081 | − | 13.1304i | −0.356966 | − | 0.618284i | ||||
\(452\) | 0.349619 | + | 0.0367465i | 0.0164447 | + | 0.00172841i | ||||
\(453\) | 4.02144 | − | 18.9194i | 0.188944 | − | 0.888911i | ||||
\(454\) | 1.05741 | + | 3.25437i | 0.0496267 | + | 0.152735i | ||||
\(455\) | 3.66785 | + | 1.71681i | 0.171952 | + | 0.0804855i | ||||
\(456\) | 3.48075 | − | 10.7127i | 0.163001 | − | 0.501666i | ||||
\(457\) | −3.44153 | − | 1.98697i | −0.160988 | − | 0.0929465i | 0.417342 | − | 0.908750i | \(-0.362962\pi\) |
−0.578330 | + | 0.815803i | \(0.696295\pi\) | |||||||
\(458\) | 0.315779 | + | 1.48562i | 0.0147554 | + | 0.0694185i | ||||
\(459\) | −31.0252 | − | 13.8133i | −1.44813 | − | 0.644751i | ||||
\(460\) | 10.7878 | + | 27.1376i | 0.502985 | + | 1.26530i | ||||
\(461\) | 14.5190 | + | 10.5487i | 0.676216 | + | 0.491300i | 0.872100 | − | 0.489327i | \(-0.162758\pi\) |
−0.195884 | + | 0.980627i | \(0.562758\pi\) | |||||||
\(462\) | −3.46434 | + | 4.99161i | −0.161176 | + | 0.232231i | ||||
\(463\) | 20.4298 | + | 28.1192i | 0.949453 | + | 1.30681i | 0.951770 | + | 0.306813i | \(0.0992625\pi\) |
−0.00231681 | + | 0.999997i | \(0.500737\pi\) | |||||||
\(464\) | 1.15308 | − | 0.513383i | 0.0535302 | − | 0.0238332i | ||||
\(465\) | −5.15745 | − | 30.2392i | −0.239171 | − | 1.40231i | ||||
\(466\) | 0.647202 | + | 0.288153i | 0.0299811 | + | 0.0133484i | ||||
\(467\) | 5.12796 | − | 4.61724i | 0.237294 | − | 0.213660i | −0.541901 | − | 0.840443i | \(-0.682295\pi\) |
0.779195 | + | 0.626782i | \(0.215628\pi\) | |||||||
\(468\) | 10.2383i | 0.473265i | ||||||||
\(469\) | 25.0591 | − | 0.541592i | 1.15712 | − | 0.0250084i | ||||
\(470\) | −0.977863 | − | 0.772853i | −0.0451054 | − | 0.0356490i | ||||
\(471\) | 36.8093 | + | 7.82406i | 1.69608 | + | 0.360514i | ||||
\(472\) | 2.38949 | + | 2.15151i | 0.109985 | + | 0.0990312i | ||||
\(473\) | −5.16720 | − | 0.543094i | −0.237588 | − | 0.0249715i | ||||
\(474\) | −6.20563 | + | 10.7485i | −0.285034 | + | 0.493693i | ||||
\(475\) | 10.7005 | − | 6.52081i | 0.490971 | − | 0.299195i | ||||
\(476\) | 6.69738 | − | 7.76944i | 0.306974 | − | 0.356112i | ||||
\(477\) | −13.2870 | + | 18.2880i | −0.608371 | + | 0.837351i | ||||
\(478\) | 0.410467 | − | 1.93109i | 0.0187743 | − | 0.0883262i | ||||
\(479\) | 27.6420 | − | 30.6995i | 1.26299 | − | 1.40270i | 0.385786 | − | 0.922588i | \(-0.373930\pi\) |
0.877209 | − | 0.480109i | \(-0.159403\pi\) | |||||||
\(480\) | −13.2857 | − | 25.3282i | −0.606408 | − | 1.15607i | ||||
\(481\) | 2.23686 | + | 2.48429i | 0.101992 | + | 0.113274i | ||||
\(482\) | 7.04250i | 0.320777i | ||||||||
\(483\) | −53.4274 | − | 29.3257i | −2.43103 | − | 1.33436i | ||||
\(484\) | 10.7458 | − | 7.80731i | 0.488448 | − | 0.354878i | ||||
\(485\) | −11.1077 | − | 7.02772i | −0.504376 | − | 0.319112i | ||||
\(486\) | 1.89789 | − | 18.0572i | 0.0860901 | − | 0.819092i | ||||
\(487\) | 8.35214 | − | 18.7592i | 0.378472 | − | 0.850061i | −0.619414 | − | 0.785065i | \(-0.712630\pi\) |
0.997885 | − | 0.0649965i | \(-0.0207036\pi\) | |||||||
\(488\) | −0.126030 | + | 0.0132462i | −0.00570509 | + | 0.000599629i | ||||
\(489\) | −56.6893 | − | 41.1872i | −2.56358 | − | 1.86255i | ||||
\(490\) | 4.06160 | − | 3.67705i | 0.183484 | − | 0.166112i | ||||
\(491\) | −21.3226 | + | 15.4918i | −0.962275 | + | 0.699134i | −0.953678 | − | 0.300829i | \(-0.902737\pi\) |
−0.00859707 | + | 0.999963i | \(0.502737\pi\) | |||||||
\(492\) | −35.3580 | + | 31.8365i | −1.59406 | + | 1.43530i | ||||
\(493\) | 0.688211 | − | 0.397339i | 0.0309954 | − | 0.0178952i | ||||
\(494\) | −0.587369 | + | 0.124849i | −0.0264270 | + | 0.00561723i | ||||
\(495\) | −22.5335 | − | 27.1620i | −1.01281 | − | 1.22084i | ||||
\(496\) | 4.19879 | + | 12.9225i | 0.188531 | + | 0.580239i | ||||
\(497\) | 31.1799 | − | 3.96001i | 1.39861 | − | 0.177631i | ||||
\(498\) | −10.3104 | + | 14.1910i | −0.462018 | + | 0.635914i | ||||
\(499\) | 1.26051 | − | 2.18327i | 0.0564284 | − | 0.0977368i | −0.836431 | − | 0.548072i | \(-0.815362\pi\) |
0.892860 | + | 0.450335i | \(0.148695\pi\) | |||||||
\(500\) | 4.70876 | − | 20.4559i | 0.210582 | − | 0.914816i | ||||
\(501\) | −11.5707 | − | 20.0411i | −0.516942 | − | 0.895370i | ||||
\(502\) | −2.83352 | − | 6.36419i | −0.126466 | − | 0.284048i | ||||
\(503\) | −33.2224 | + | 10.7946i | −1.48131 | + | 0.481308i | −0.934505 | − | 0.355950i | \(-0.884157\pi\) |
−0.546808 | + | 0.837258i | \(0.684157\pi\) | |||||||
\(504\) | 26.3782 | + | 11.0677i | 1.17498 | + | 0.492996i | ||||
\(505\) | 1.69258 | − | 4.57048i | 0.0753189 | − | 0.203384i | ||||
\(506\) | 3.22790 | + | 3.58495i | 0.143498 | + | 0.159370i | ||||
\(507\) | −35.9385 | + | 20.7491i | −1.59609 | + | 0.921501i | ||||
\(508\) | 2.75744 | + | 12.9727i | 0.122341 | + | 0.575571i | ||||
\(509\) | 2.84090 | + | 27.0293i | 0.125921 | + | 1.19805i | 0.856837 | + | 0.515587i | \(0.172426\pi\) |
−0.730917 | + | 0.682467i | \(0.760907\pi\) | |||||||
\(510\) | −2.96805 | − | 4.45395i | −0.131428 | − | 0.197224i | ||||
\(511\) | −12.1564 | + | 40.3609i | −0.537767 | + | 1.78546i | ||||
\(512\) | 12.6795 | + | 17.4519i | 0.560362 | + | 0.771272i | ||||
\(513\) | −40.9907 | + | 4.30830i | −1.80978 | + | 0.190216i | ||||
\(514\) | 0.0444280 | − | 0.422704i | 0.00195963 | − | 0.0186447i | ||||
\(515\) | −0.321157 | + | 0.168461i | −0.0141519 | + | 0.00742327i | ||||
\(516\) | 1.70429 | + | 16.2152i | 0.0750272 | + | 0.713837i | ||||
\(517\) | 3.00064 | + | 0.974967i | 0.131968 | + | 0.0428790i | ||||
\(518\) | 4.27001 | − | 1.49016i | 0.187613 | − | 0.0654739i | ||||
\(519\) | −14.4012 | + | 44.3222i | −0.632141 | + | 1.94553i | ||||
\(520\) | −1.11074 | + | 1.75559i | −0.0487092 | + | 0.0769877i | ||||
\(521\) | 0.344771 | − | 0.382907i | 0.0151047 | − | 0.0167755i | −0.735545 | − | 0.677476i | \(-0.763074\pi\) |
0.750650 | + | 0.660700i | \(0.229741\pi\) | |||||||
\(522\) | 0.797444 | + | 0.718021i | 0.0349032 | + | 0.0314269i | ||||
\(523\) | −3.00463 | − | 6.74851i | −0.131383 | − | 0.295092i | 0.835860 | − | 0.548943i | \(-0.184969\pi\) |
−0.967243 | + | 0.253851i | \(0.918303\pi\) | |||||||
\(524\) | 23.3010 | 1.01791 | ||||||||
\(525\) | 19.6125 | + | 39.1721i | 0.855960 | + | 1.70961i | ||||
\(526\) | 5.28770 | 0.230555 | ||||||||
\(527\) | 3.47951 | + | 7.81510i | 0.151570 | + | 0.340431i | ||||
\(528\) | 15.9919 | + | 14.3992i | 0.695958 | + | 0.626644i | ||||
\(529\) | −16.9881 | + | 18.8672i | −0.738613 | + | 0.820312i | ||||
\(530\) | −2.06387 | + | 0.820434i | −0.0896486 | + | 0.0356374i | ||||
\(531\) | 5.83202 | − | 17.9491i | 0.253088 | − | 0.778925i | ||||
\(532\) | 2.32457 | − | 12.2300i | 0.100783 | − | 0.530238i | ||||
\(533\) | 4.98208 | + | 1.61878i | 0.215798 | + | 0.0701170i | ||||
\(534\) | −1.51475 | − | 14.4119i | −0.0655499 | − | 0.623665i | ||||
\(535\) | 4.05721 | + | 23.7883i | 0.175409 | + | 1.02846i | ||||
\(536\) | −1.34401 | + | 12.7874i | −0.0580526 | + | 0.552333i | ||||
\(537\) | −10.8806 | + | 1.14360i | −0.469534 | + | 0.0493500i | ||||
\(538\) | 1.25099 | + | 1.72185i | 0.0539342 | + | 0.0742340i | ||||
\(539\) | −6.40894 | + | 12.2990i | −0.276053 | + | 0.529756i | ||||
\(540\) | −42.8116 | + | 54.1680i | −1.84232 | + | 2.33102i | ||||
\(541\) | 0.210181 | + | 1.99974i | 0.00903639 | + | 0.0859755i | 0.998111 | − | 0.0614430i | \(-0.0195702\pi\) |
−0.989074 | + | 0.147419i | \(0.952904\pi\) | |||||||
\(542\) | −0.341727 | − | 1.60770i | −0.0146784 | − | 0.0690566i | ||||
\(543\) | −33.0661 | + | 19.0907i | −1.41900 | + | 0.819262i | ||||
\(544\) | 5.33707 | + | 5.92741i | 0.228825 | + | 0.254136i | ||||
\(545\) | −4.05413 | − | 14.4434i | −0.173660 | − | 0.618687i | ||||
\(546\) | −0.264499 | − | 2.08258i | −0.0113195 | − | 0.0891263i | ||||
\(547\) | −24.0025 | + | 7.79888i | −1.02627 | + | 0.333456i | −0.773315 | − | 0.634022i | \(-0.781403\pi\) |
−0.252957 | + | 0.967478i | \(0.581403\pi\) | |||||||
\(548\) | 6.76118 | + | 15.1859i | 0.288823 | + | 0.648708i | ||||
\(549\) | 0.371905 | + | 0.644159i | 0.0158725 | + | 0.0274920i | ||||
\(550\) | −0.444065 | − | 3.43889i | −0.0189350 | − | 0.146635i | ||||
\(551\) | 0.482222 | − | 0.835232i | 0.0205433 | − | 0.0355821i | ||||
\(552\) | 18.3768 | − | 25.2935i | 0.782170 | − | 1.07656i | ||||
\(553\) | −10.9606 | + | 26.1228i | −0.466092 | + | 1.11086i | ||||
\(554\) | 2.01172 | + | 6.19144i | 0.0854699 | + | 0.263049i | ||||
\(555\) | 2.32034 | + | 36.0871i | 0.0984928 | + | 1.53181i | ||||
\(556\) | −24.2971 | + | 5.16451i | −1.03043 | + | 0.219024i | ||||
\(557\) | 28.2387 | − | 16.3036i | 1.19651 | − | 0.690806i | 0.236735 | − | 0.971574i | \(-0.423923\pi\) |
0.959775 | + | 0.280769i | \(0.0905894\pi\) | |||||||
\(558\) | −8.58448 | + | 7.72950i | −0.363410 | + | 0.327216i | ||||
\(559\) | 1.45230 | − | 1.05516i | 0.0614259 | − | 0.0446285i | ||||
\(560\) | −11.1067 | − | 15.9110i | −0.469345 | − | 0.672363i | ||||
\(561\) | 10.9609 | + | 7.96358i | 0.462771 | + | 0.336223i | ||||
\(562\) | −0.372393 | + | 0.0391401i | −0.0157085 | + | 0.00165103i | ||||
\(563\) | 15.7522 | − | 35.3800i | 0.663876 | − | 1.49109i | −0.196010 | − | 0.980602i | \(-0.562798\pi\) |
0.859885 | − | 0.510487i | \(-0.170535\pi\) | |||||||
\(564\) | 1.03493 | − | 9.84669i | 0.0435784 | − | 0.414620i | ||||
\(565\) | 0.103565 | − | 0.405677i | 0.00435699 | − | 0.0170670i | ||||
\(566\) | −2.61383 | + | 1.89906i | −0.109868 | + | 0.0798235i | ||||
\(567\) | −1.74723 | − | 80.8431i | −0.0733767 | − | 3.39509i | ||||
\(568\) | 16.1232i | 0.676516i | ||||||||
\(569\) | −21.6452 | − | 24.0394i | −0.907414 | − | 1.00779i | −0.999927 | − | 0.0120736i | \(-0.996157\pi\) |
0.0925134 | − | 0.995711i | \(-0.470510\pi\) | |||||||
\(570\) | −5.82225 | − | 2.88020i | −0.243867 | − | 0.120638i | ||||
\(571\) | −6.91977 | + | 7.68518i | −0.289583 | + | 0.321615i | −0.870330 | − | 0.492470i | \(-0.836094\pi\) |
0.580746 | + | 0.814085i | \(0.302761\pi\) | |||||||
\(572\) | 0.529404 | − | 2.49065i | 0.0221355 | − | 0.104139i | ||||
\(573\) | 33.7442 | − | 46.4449i | 1.40968 | − | 1.94026i | ||||
\(574\) | 4.62720 | − | 5.36788i | 0.193135 | − | 0.224051i | ||||
\(575\) | 33.8399 | − | 8.03553i | 1.41122 | − | 0.335105i | ||||
\(576\) | 20.7435 | − | 35.9287i | 0.864311 | − | 1.49703i | ||||
\(577\) | 20.5396 | + | 2.15880i | 0.855074 | + | 0.0898719i | 0.521914 | − | 0.852998i | \(-0.325218\pi\) |
0.333160 | + | 0.942870i | \(0.391885\pi\) | |||||||
\(578\) | −3.31283 | − | 2.98289i | −0.137796 | − | 0.124072i | ||||
\(579\) | −46.6371 | − | 9.91303i | −1.93817 | − | 0.411971i | ||||
\(580\) | −0.436605 | − | 1.55547i | −0.0181290 | − | 0.0645872i | ||||
\(581\) | −19.2651 | + | 35.0984i | −0.799251 | + | 1.45613i | ||||
\(582\) | 6.81368i | 0.282436i | ||||||||
\(583\) | 4.17795 | − | 3.76184i | 0.173033 | − | 0.155800i | ||||
\(584\) | −19.7538 | − | 8.79495i | −0.817417 | − | 0.363938i | ||||
\(585\) | 12.0654 | + | 1.76467i | 0.498842 | + | 0.0729603i | ||||
\(586\) | −0.570154 | + | 0.253849i | −0.0235528 | + | 0.0104864i | ||||
\(587\) | −10.6378 | − | 14.6416i | −0.439068 | − | 0.604325i | 0.530937 | − | 0.847411i | \(-0.321840\pi\) |
−0.970005 | + | 0.243086i | \(0.921840\pi\) | |||||||
\(588\) | 41.9338 | + | 11.6480i | 1.72932 | + | 0.480355i | ||||
\(589\) | 8.39940 | + | 6.10252i | 0.346091 | + | 0.251450i | ||||
\(590\) | 1.42709 | − | 1.18391i | 0.0587524 | − | 0.0487408i | ||||
\(591\) | 46.5653 | + | 20.7322i | 1.91544 | + | 0.852809i | ||||
\(592\) | −3.33021 | − | 15.6674i | −0.136871 | − | 0.643927i | ||||
\(593\) | −23.2509 | − | 13.4239i | −0.954800 | − | 0.551254i | −0.0602309 | − | 0.998184i | \(-0.519184\pi\) |
−0.894569 | + | 0.446931i | \(0.852517\pi\) | |||||||
\(594\) | −3.52439 | + | 10.8470i | −0.144607 | + | 0.445056i | ||||
\(595\) | −8.00157 | − | 9.23171i | −0.328033 | − | 0.378463i | ||||
\(596\) | −4.36860 | − | 13.4452i | −0.178945 | − | 0.550735i | ||||
\(597\) | 11.2480 | − | 52.9179i | 0.460352 | − | 2.16578i | ||||
\(598\) | −1.65761 | − | 0.174222i | −0.0677847 | − | 0.00712446i | ||||
\(599\) | 12.9676 | + | 22.4605i | 0.529841 | + | 0.917711i | 0.999394 | + | 0.0348070i | \(0.0110816\pi\) |
−0.469553 | + | 0.882904i | \(0.655585\pi\) | |||||||
\(600\) | −21.2021 | + | 7.44892i | −0.865571 | + | 0.304101i | ||||
\(601\) | −30.2410 | −1.23355 | −0.616777 | − | 0.787138i | \(-0.711562\pi\) | ||||
−0.616777 | + | 0.787138i | \(0.711562\pi\) | |||||||
\(602\) | −0.556145 | − | 2.36406i | −0.0226668 | − | 0.0963519i | ||||
\(603\) | 71.7761 | − | 23.3215i | 2.92295 | − | 0.949724i | ||||
\(604\) | 10.7264 | + | 2.27996i | 0.436450 | + | 0.0927703i | ||||
\(605\) | −7.34842 | − | 14.0092i | −0.298756 | − | 0.569554i | ||||
\(606\) | −2.47128 | + | 0.525286i | −0.100389 | + | 0.0213383i | ||||
\(607\) | 18.3140 | + | 10.5736i | 0.743344 | + | 0.429170i | 0.823284 | − | 0.567630i | \(-0.192140\pi\) |
−0.0799401 | + | 0.996800i | \(0.525473\pi\) | |||||||
\(608\) | 9.20628 | + | 2.99130i | 0.373364 | + | 0.121313i | ||||
\(609\) | 2.76994 | + | 1.92242i | 0.112243 | + | 0.0779005i | ||||
\(610\) | −0.00295962 | + | 0.0730192i | −0.000119832 | + | 0.00295646i | ||||
\(611\) | −0.995856 | + | 0.443383i | −0.0402880 | + | 0.0179374i | ||||
\(612\) | 12.5623 | − | 28.2153i | 0.507799 | − | 1.14054i | ||||
\(613\) | 13.1634 | − | 29.5655i | 0.531665 | − | 1.19414i | −0.425596 | − | 0.904913i | \(-0.639935\pi\) |
0.957261 | − | 0.289226i | \(-0.0933980\pi\) | |||||||
\(614\) | 0.0824534 | − | 0.0367106i | 0.00332755 | − | 0.00148152i | ||||
\(615\) | 31.4236 | + | 47.1552i | 1.26712 | + | 1.90148i | ||||
\(616\) | −5.84468 | − | 4.05639i | −0.235489 | − | 0.163437i | ||||
\(617\) | 1.87020 | + | 0.607665i | 0.0752914 | + | 0.0244637i | 0.346421 | − | 0.938079i | \(-0.387397\pi\) |
−0.271129 | + | 0.962543i | \(0.587397\pi\) | |||||||
\(618\) | 0.162808 | + | 0.0939971i | 0.00654909 | + | 0.00378112i | ||||
\(619\) | −34.2671 | + | 7.28369i | −1.37731 | + | 0.292756i | −0.836305 | − | 0.548264i | \(-0.815289\pi\) |
−0.541004 | + | 0.841020i | \(0.681956\pi\) | |||||||
\(620\) | 17.1441 | − | 2.92402i | 0.688525 | − | 0.117431i | ||||
\(621\) | −111.902 | − | 23.7854i | −4.49046 | − | 0.954477i | ||||
\(622\) | 0.496263 | − | 0.161246i | 0.0198983 | − | 0.00646536i | ||||
\(623\) | −7.57456 | − | 32.1979i | −0.303468 | − | 1.28998i | ||||
\(624\) | −7.43508 | −0.297641 | ||||||||
\(625\) | −23.2948 | − | 9.07486i | −0.931791 | − | 0.362994i | ||||
\(626\) | −2.81558 | − | 4.87673i | −0.112533 | − | 0.194913i | ||||
\(627\) | 16.3527 | + | 1.71874i | 0.653065 | + | 0.0686399i | ||||
\(628\) | −4.43586 | + | 20.8691i | −0.177010 | + | 0.832767i | ||||
\(629\) | −3.11629 | − | 9.59096i | −0.124255 | − | 0.382417i | ||||
\(630\) | 8.51680 | − | 14.1280i | 0.339317 | − | 0.562872i | ||||
\(631\) | −4.81090 | + | 14.8064i | −0.191519 | + | 0.589435i | 0.808481 | + | 0.588523i | \(0.200290\pi\) |
−1.00000 | 0.000912070i | \(0.999710\pi\) | ||||||||
\(632\) | −12.5854 | − | 7.26617i | −0.500619 | − | 0.289033i | ||||
\(633\) | 10.3170 | + | 48.5375i | 0.410063 | + | 1.92919i | ||||
\(634\) | 6.08480 | + | 2.70913i | 0.241658 | + | 0.107593i | ||||
\(635\) | 15.7630 | − | 1.01354i | 0.625537 | − | 0.0402209i | ||||
\(636\) | −14.2730 | − | 10.3700i | −0.565962 | − | 0.411196i | ||||
\(637\) | −1.19783 | − | 4.63961i | −0.0474599 | − | 0.183828i | ||||
\(638\) | −0.156865 | − | 0.215906i | −0.00621034 | − | 0.00854780i | ||||
\(639\) | 86.4543 | − | 38.4919i | 3.42008 | − | 1.52272i | ||||
\(640\) | 18.9066 | − | 9.91730i | 0.747347 | − | 0.392016i | ||||
\(641\) | 21.7034 | + | 9.66298i | 0.857233 | + | 0.381665i | 0.787807 | − | 0.615922i | \(-0.211216\pi\) |
0.0694263 | + | 0.997587i | \(0.477883\pi\) | |||||||
\(642\) | 9.29630 | − | 8.37043i | 0.366896 | − | 0.330354i | ||||
\(643\) | − | 12.5334i | − | 0.494269i | −0.968981 | − | 0.247134i | \(-0.920511\pi\) | ||
0.968981 | − | 0.247134i | \(-0.0794889\pi\) | |||||||
\(644\) | 16.6262 | − | 30.2907i | 0.655165 | − | 1.19362i | ||||
\(645\) | 19.4027 | + | 0.786433i | 0.763981 | + | 0.0309658i | ||||
\(646\) | 1.77190 | + | 0.376628i | 0.0697143 | + | 0.0148182i | ||||
\(647\) | −5.10410 | − | 4.59576i | −0.200663 | − | 0.180678i | 0.562673 | − | 0.826680i | \(-0.309773\pi\) |
−0.763336 | + | 0.646002i | \(0.776440\pi\) | |||||||
\(648\) | 41.2536 | + | 4.33592i | 1.62059 | + | 0.170331i | ||||
\(649\) | −2.34686 | + | 4.06488i | −0.0921223 | + | 0.159561i | ||||
\(650\) | 0.909057 | + | 0.780316i | 0.0356562 | + | 0.0306065i | ||||
\(651\) | −23.6984 | + | 27.4918i | −0.928813 | + | 1.07749i | ||||
\(652\) | 23.3511 | − | 32.1400i | 0.914500 | − | 1.25870i | ||||
\(653\) | −9.87062 | + | 46.4376i | −0.386267 | + | 1.81724i | 0.169053 | + | 0.985607i | \(0.445929\pi\) |
−0.555320 | + | 0.831637i | \(0.687404\pi\) | |||||||
\(654\) | −5.20350 | + | 5.77907i | −0.203473 | + | 0.225979i | ||||
\(655\) | 4.01617 | − | 27.4592i | 0.156925 | − | 1.07292i | ||||
\(656\) | −16.7950 | − | 18.6527i | −0.655734 | − | 0.728266i | ||||
\(657\) | 126.918i | 4.95156i | ||||||||
\(658\) | 0.0318660 | + | 1.47442i | 0.00124227 | + | 0.0574788i | ||||
\(659\) | −19.6317 | + | 14.2632i | −0.764741 | + | 0.555617i | −0.900361 | − | 0.435144i | \(-0.856698\pi\) |
0.135620 | + | 0.990761i | \(0.456698\pi\) | |||||||
\(660\) | 21.1988 | − | 17.5864i | 0.825163 | − | 0.684551i | ||||
\(661\) | −0.430780 | + | 4.09859i | −0.0167554 | + | 0.159417i | −0.999700 | − | 0.0244838i | \(-0.992206\pi\) |
0.982945 | + | 0.183901i | \(0.0588725\pi\) | |||||||
\(662\) | −3.68569 | + | 8.27820i | −0.143248 | + | 0.321741i | ||||
\(663\) | −4.65546 | + | 0.489309i | −0.180803 | + | 0.0190032i | ||||
\(664\) | −16.6162 | − | 12.0724i | −0.644835 | − | 0.468500i | ||||
\(665\) | −14.0119 | − | 4.84737i | −0.543357 | − | 0.187973i | ||||
\(666\) | 11.0166 | − | 8.00406i | 0.426886 | − | 0.310151i | ||||
\(667\) | 1.98935 | − | 1.79122i | 0.0770280 | − | 0.0693563i | ||||
\(668\) | 11.3623 | − | 6.56004i | 0.439621 | − | 0.253815i | ||||
\(669\) | 47.9906 | − | 10.2007i | 1.85542 | − | 0.394382i | ||||
\(670\) | 7.18447 | + | 1.83411i | 0.277560 | + | 0.0708578i | ||||
\(671\) | −0.0571644 | − | 0.175934i | −0.00220681 | − | 0.00679185i | ||||
\(672\) | −13.0933 | + | 31.2058i | −0.505085 | + | 1.20379i | ||||
\(673\) | −29.2961 | + | 40.3226i | −1.12928 | + | 1.55432i | −0.339857 | + | 0.940477i | \(0.610379\pi\) |
−0.789426 | + | 0.613846i | \(0.789621\pi\) | |||||||
\(674\) | −5.17128 | + | 8.95691i | −0.199190 | + | 0.345007i | ||||
\(675\) | 56.4555 | + | 59.7880i | 2.17297 | + | 2.30124i | ||||
\(676\) | −11.7637 | − | 20.3754i | −0.452452 | − | 0.783669i | ||||
\(677\) | −13.3825 | − | 30.0576i | −0.514331 | − | 1.15521i | −0.964937 | − | 0.262483i | \(-0.915459\pi\) |
0.450605 | − | 0.892723i | \(-0.351208\pi\) | |||||||
\(678\) | −0.206416 | + | 0.0670687i | −0.00792737 | + | 0.00257576i | ||||
\(679\) | 1.95950 | + | 15.4285i | 0.0751988 | + | 0.592092i | ||||
\(680\) | 5.21513 | − | 3.47529i | 0.199991 | − | 0.133271i | ||||
\(681\) | 21.6620 | + | 24.0581i | 0.830091 | + | 0.921909i | ||||
\(682\) | 2.48801 | − | 1.43645i | 0.0952707 | − | 0.0550046i | ||||
\(683\) | −5.04919 | − | 23.7546i | −0.193202 | − | 0.908943i | −0.962758 | − | 0.270364i | \(-0.912856\pi\) |
0.769556 | − | 0.638579i | \(-0.220477\pi\) | |||||||
\(684\) | −3.91810 | − | 37.2782i | −0.149812 | − | 1.42537i | ||||
\(685\) | 19.0612 | − | 5.35032i | 0.728292 | − | 0.204425i | ||||
\(686\) | −6.41494 | − | 0.934197i | −0.244923 | − | 0.0356678i | ||||
\(687\) | 8.44598 | + | 11.6249i | 0.322234 | + | 0.443517i | ||||
\(688\) | −8.55418 | + | 0.899080i | −0.326125 | + | 0.0342771i | ||||
\(689\) | −0.203041 | + | 1.93180i | −0.00773523 | + | 0.0735958i | ||||
\(690\) | −12.8991 | − | 12.5969i | −0.491059 | − | 0.479557i | ||||
\(691\) | −1.05977 | − | 10.0831i | −0.0403157 | − | 0.383578i | −0.996012 | − | 0.0892226i | \(-0.971562\pi\) |
0.955696 | − | 0.294355i | \(-0.0951049\pi\) | |||||||
\(692\) | −25.1285 | − | 8.16476i | −0.955244 | − | 0.310377i | ||||
\(693\) | −7.79742 | + | 41.0238i | −0.296200 | + | 1.55836i | ||||
\(694\) | 2.95216 | − | 9.08580i | 0.112062 | − | 0.344892i | ||||
\(695\) | 1.89829 | + | 29.5232i | 0.0720063 | + | 1.11988i | ||||
\(696\) | −1.15734 | + | 1.28536i | −0.0438688 | + | 0.0487213i | ||||
\(697\) | −11.7437 | − | 10.5741i | −0.444824 | − | 0.400522i | ||||
\(698\) | −4.00979 | − | 9.00615i | −0.151773 | − | 0.340888i | ||||
\(699\) | 6.70251 | 0.253512 | ||||||||
\(700\) | −22.2086 | + | 11.1193i | −0.839408 | + | 0.420271i | ||||
\(701\) | 29.8711 | 1.12822 | 0.564109 | − | 0.825701i | \(-0.309220\pi\) | ||||
0.564109 | + | 0.825701i | \(0.309220\pi\) | |||||||
\(702\) | −1.60278 | − | 3.59990i | −0.0604930 | − | 0.135869i | ||||
\(703\) | −9.09527 | − | 8.18941i | −0.343034 | − | 0.308870i | ||||
\(704\) | −6.90403 | + | 7.66770i | −0.260205 | + | 0.288987i | ||||
\(705\) | −11.4255 | − | 2.91680i | −0.430310 | − | 0.109853i | ||||
\(706\) | 0.624301 | − | 1.92140i | 0.0234959 | − | 0.0723128i | ||||
\(707\) | −5.44475 | + | 1.90013i | −0.204771 | + | 0.0714616i | ||||
\(708\) | 14.0085 | + | 4.55164i | 0.526472 | + | 0.171061i | ||||
\(709\) | 1.87243 | + | 17.8150i | 0.0703206 | + | 0.669056i | 0.971731 | + | 0.236091i | \(0.0758662\pi\) |
−0.901410 | + | 0.432966i | \(0.857467\pi\) | |||||||
\(710\) | 9.20008 | + | 1.34560i | 0.345273 | + | 0.0504994i | ||||
\(711\) | −8.91609 | + | 84.8309i | −0.334379 | + | 3.18141i | ||||
\(712\) | 16.8749 | − | 1.77363i | 0.632415 | − | 0.0664695i | ||||
\(713\) | 16.9383 | + | 23.3136i | 0.634346 | + | 0.873102i | ||||
\(714\) | −1.82638 | + | 6.06384i | −0.0683506 | + | 0.226934i | ||||
\(715\) | −2.84387 | − | 1.05317i | −0.106355 | − | 0.0393862i | ||||
\(716\) | −0.648365 | − | 6.16878i | −0.0242305 | − | 0.230538i | ||||
\(717\) | −3.88334 | − | 18.2697i | −0.145026 | − | 0.682294i | ||||
\(718\) | 3.90845 | − | 2.25655i | 0.145862 | − | 0.0842136i | ||||
\(719\) | −22.2352 | − | 24.6947i | −0.829235 | − | 0.920959i | 0.168669 | − | 0.985673i | \(-0.446053\pi\) |
−0.997904 | + | 0.0647141i | \(0.979386\pi\) | |||||||
\(720\) | −45.8375 | − | 36.2276i | −1.70826 | − | 1.35012i | ||||
\(721\) | 0.395685 | + | 0.166021i | 0.0147361 | + | 0.00618294i | ||||
\(722\) | −4.23416 | + | 1.37576i | −0.157579 | + | 0.0512006i | ||||
\(723\) | 27.0999 | + | 60.8673i | 1.00786 | + | 2.26368i | ||||
\(724\) | −10.8235 | − | 18.7469i | −0.402253 | − | 0.696722i | ||||
\(725\) | −1.90830 | + | 0.246419i | −0.0708725 | + | 0.00915179i | ||||
\(726\) | −4.10024 | + | 7.10183i | −0.152174 | + | 0.263574i | ||||
\(727\) | 8.30721 | − | 11.4339i | 0.308097 | − | 0.424059i | −0.626689 | − | 0.779269i | \(-0.715591\pi\) |
0.934787 | + | 0.355210i | \(0.115591\pi\) | |||||||
\(728\) | 2.43850 | − | 0.309702i | 0.0903766 | − | 0.0114783i | ||||
\(729\) | −24.7485 | − | 76.1681i | −0.916611 | − | 2.82104i | ||||
\(730\) | −6.66708 | + | 10.5377i | −0.246760 | + | 0.390018i | ||||
\(731\) | −5.29701 | + | 1.12591i | −0.195917 | + | 0.0416435i | ||||
\(732\) | −0.502738 | + | 0.290256i | −0.0185817 | + | 0.0107282i | ||||
\(733\) | 20.4618 | − | 18.4239i | 0.755774 | − | 0.680502i | −0.198277 | − | 0.980146i | \(-0.563534\pi\) |
0.954051 | + | 0.299644i | \(0.0968678\pi\) | |||||||
\(734\) | 3.06088 | − | 2.22386i | 0.112979 | − | 0.0820841i | ||||
\(735\) | 20.9544 | − | 47.4095i | 0.772914 | − | 1.74872i | ||||
\(736\) | 21.7369 | + | 15.7928i | 0.801231 | + | 0.582129i | ||||
\(737\) | −18.6667 | + | 1.96195i | −0.687598 | + | 0.0722695i | ||||
\(738\) | 8.67922 | − | 19.4938i | 0.319487 | − | 0.717578i | ||||
\(739\) | −0.992289 | + | 9.44100i | −0.0365019 | + | 0.347293i | 0.960994 | + | 0.276569i | \(0.0891975\pi\) |
−0.997496 | + | 0.0707235i | \(0.977469\pi\) | |||||||
\(740\) | −20.4596 | + | 1.31552i | −0.752111 | + | 0.0483594i | ||||
\(741\) | −4.59613 | + | 3.33928i | −0.168843 | + | 0.122672i | ||||
\(742\) | 2.30366 | + | 1.26445i | 0.0845702 | + | 0.0464196i | ||||
\(743\) | − | 14.1144i | − | 0.517805i | −0.965903 | − | 0.258903i | \(-0.916639\pi\) | ||
0.965903 | − | 0.258903i | \(-0.0833609\pi\) | |||||||
\(744\) | −12.4588 | − | 13.8368i | −0.456760 | − | 0.507283i | ||||
\(745\) | −16.5975 | + | 2.83079i | −0.608086 | + | 0.103712i | ||||
\(746\) | −0.397433 | + | 0.441394i | −0.0145510 | + | 0.0161606i | ||||
\(747\) | −25.0644 | + | 117.919i | −0.917060 | + | 4.31443i | ||||
\(748\) | −4.51496 | + | 6.21431i | −0.165083 | + | 0.227218i | ||||
\(749\) | 18.6428 | − | 21.6270i | 0.681194 | − | 0.790233i | ||||
\(750\) | 2.48097 | + | 12.7198i | 0.0905920 | + | 0.464461i | ||||
\(751\) | −2.52194 | + | 4.36812i | −0.0920268 | + | 0.159395i | −0.908364 | − | 0.418181i | \(-0.862668\pi\) |
0.816337 | + | 0.577576i | \(0.196001\pi\) | |||||||
\(752\) | 5.19451 | + | 0.545965i | 0.189424 | + | 0.0199093i | ||||
\(753\) | −48.9795 | − | 44.1013i | −1.78491 | − | 1.60714i | ||||
\(754\) | 0.0901925 | + | 0.0191710i | 0.00328462 | + | 0.000698167i | ||||
\(755\) | 4.53563 | − | 12.2476i | 0.165069 | − | 0.445735i | ||||
\(756\) | 81.6743 | − | 1.76519i | 2.97046 | − | 0.0641995i | ||||
\(757\) | 22.7350i | 0.826319i | 0.910659 | + | 0.413160i | \(0.135575\pi\) | ||||
−0.910659 | + | 0.413160i | \(0.864425\pi\) | |||||||
\(758\) | 6.53164 | − | 5.88111i | 0.237240 | − | 0.213612i | ||||
\(759\) | 41.6934 | + | 18.5631i | 1.51337 | + | 0.673798i | ||||
\(760\) | 3.37242 | − | 6.81727i | 0.122331 | − | 0.247288i | ||||
\(761\) | 9.59929 | − | 4.27388i | 0.347974 | − | 0.154928i | −0.225305 | − | 0.974288i | \(-0.572338\pi\) |
0.573279 | + | 0.819360i | \(0.305671\pi\) | |||||||
\(762\) | −4.81285 | − | 6.62431i | −0.174351 | − | 0.239974i | ||||
\(763\) | −10.1205 | + | 14.5822i | −0.366388 | + | 0.527912i | ||||
\(764\) | 26.3320 | + | 19.1313i | 0.952658 | + | 0.692147i | ||||
\(765\) | −31.0852 | − | 19.6673i | −1.12389 | − | 0.711071i | ||||
\(766\) | −0.858194 | − | 0.382092i | −0.0310078 | − | 0.0138056i | ||||
\(767\) | −0.337175 | − | 1.58628i | −0.0121747 | − | 0.0572773i | ||||
\(768\) | 20.2862 | + | 11.7122i | 0.732015 | + | 0.422629i | ||||
\(769\) | 1.03964 | − | 3.19968i | 0.0374903 | − | 0.115383i | −0.930560 | − | 0.366140i | \(-0.880679\pi\) |
0.968050 | + | 0.250756i | \(0.0806793\pi\) | |||||||
\(770\) | −2.80240 | + | 2.99650i | −0.100991 | + | 0.107986i | ||||
\(771\) | −1.24260 | − | 3.82434i | −0.0447512 | − | 0.137730i | ||||
\(772\) | 5.62020 | − | 26.4410i | 0.202276 | − | 0.951632i | ||||
\(773\) | −27.5211 | − | 2.89258i | −0.989865 | − | 0.104039i | −0.404268 | − | 0.914641i | \(-0.632474\pi\) |
−0.585598 | + | 0.810602i | \(0.699140\pi\) | |||||||
\(774\) | −3.65622 | − | 6.33276i | −0.131420 | − | 0.227626i | ||||
\(775\) | −0.490859 | − | 20.7076i | −0.0176322 | − | 0.743839i | ||||
\(776\) | −7.97814 | −0.286398 | ||||||||
\(777\) | 31.1709 | − | 29.3105i | 1.11825 | − | 1.05151i | ||||
\(778\) | 5.07032 | − | 1.64745i | 0.181780 | − | 0.0590638i | ||||
\(779\) | −18.7595 | − | 3.98746i | −0.672130 | − | 0.142866i | ||||
\(780\) | −1.37725 | + | 9.41651i | −0.0493136 | + | 0.337165i | ||||
\(781\) | −23.0219 | + | 4.89346i | −0.823789 | + | 0.175102i | ||||
\(782\) | 4.35438 | + | 2.51400i | 0.155712 | + | 0.0899005i | ||||
\(783\) | 6.01917 | + | 1.95575i | 0.215108 | + | 0.0698927i | ||||
\(784\) | −6.14477 | + | 22.1217i | −0.219456 | + | 0.790061i | ||||
\(785\) | 23.8287 | + | 8.82446i | 0.850483 | + | 0.314959i | ||||
\(786\) | −13.1420 | + | 5.85121i | −0.468760 | + | 0.208706i | ||||
\(787\) | −13.7661 | + | 30.9192i | −0.490709 | + | 1.10215i | 0.483262 | + | 0.875476i | \(0.339452\pi\) |
−0.973971 | + | 0.226675i | \(0.927215\pi\) | |||||||
\(788\) | −11.7542 | + | 26.4003i | −0.418724 | + | 0.940470i | ||||
\(789\) | 45.7009 | − | 20.3473i | 1.62699 | − | 0.724384i | ||||
\(790\) | −5.19649 | + | 6.57493i | −0.184883 | + | 0.233925i | ||||
\(791\) | −0.448109 | + | 0.211228i | −0.0159329 | + | 0.00751042i | ||||
\(792\) | −20.3728 | − | 6.61954i | −0.723917 | − | 0.235215i | ||||
\(793\) | 0.0553519 | + | 0.0319574i | 0.00196560 | + | 0.00113484i | ||||
\(794\) | −6.12636 | + | 1.30220i | −0.217416 | + | 0.0462132i | ||||
\(795\) | −14.6806 | + | 15.0328i | −0.520669 | + | 0.533157i | ||||
\(796\) | 30.0018 | + | 6.37709i | 1.06339 | + | 0.226030i | ||||
\(797\) | 47.8699 | − | 15.5539i | 1.69564 | − | 0.550946i | 0.707797 | − | 0.706416i | \(-0.249689\pi\) |
0.987841 | + | 0.155469i | \(0.0496890\pi\) | |||||||
\(798\) | 1.76004 | + | 7.48158i | 0.0623048 | + | 0.264845i | ||||
\(799\) | 3.28847 | 0.116338 | ||||||||
\(800\) | −6.40148 | − | 18.2207i | −0.226327 | − | 0.644200i | ||||
\(801\) | −49.7968 | − | 86.2507i | −1.75948 | − | 3.04752i | ||||
\(802\) | 2.68274 | + | 0.281968i | 0.0947310 | + | 0.00995663i | ||||
\(803\) | 6.56272 | − | 30.8752i | 0.231593 | − | 1.08956i | ||||
\(804\) | 18.2014 | + | 56.0182i | 0.641914 | + | 1.97561i | ||||
\(805\) | −32.8306 | − | 24.8142i | −1.15713 | − | 0.874585i | ||||
\(806\) | −0.306734 | + | 0.944031i | −0.0108042 | + | 0.0332521i | ||||
\(807\) | 17.4379 | + | 10.0678i | 0.613844 | + | 0.354403i | ||||
\(808\) | −0.615057 | − | 2.89362i | −0.0216376 | − | 0.101797i | ||||
\(809\) | −11.9930 | − | 5.33963i | −0.421651 | − | 0.187731i | 0.184932 | − | 0.982751i | \(-0.440794\pi\) |
−0.606583 | + | 0.795020i | \(0.707460\pi\) | |||||||
\(810\) | 5.91702 | − | 23.1778i | 0.207903 | − | 0.814386i | ||||
\(811\) | −23.4334 | − | 17.0254i | −0.822858 | − | 0.597841i | 0.0946719 | − | 0.995509i | \(-0.469820\pi\) |
−0.917530 | + | 0.397667i | \(0.869820\pi\) | |||||||
\(812\) | −1.08992 | + | 1.57042i | −0.0382487 | + | 0.0551109i | ||||
\(813\) | −9.14001 | − | 12.5801i | −0.320554 | − | 0.441205i | ||||
\(814\) | −3.09387 | + | 1.37748i | −0.108440 | + | 0.0482807i | ||||
\(815\) | −33.8508 | − | 33.0579i | −1.18574 | − | 1.15797i | ||||
\(816\) | 20.4900 | + | 9.12275i | 0.717295 | + | 0.319360i | ||||
\(817\) | −4.88412 | + | 4.39768i | −0.170874 | + | 0.153855i | ||||
\(818\) | − | 10.4310i | − | 0.364712i | ||||||
\(819\) | −7.48221 | − | 12.3361i | −0.261450 | − | 0.431057i | ||||
\(820\) | −26.7347 | + | 17.8156i | −0.933616 | + | 0.622149i | ||||
\(821\) | −23.6329 | − | 5.02332i | −0.824793 | − | 0.175315i | −0.223867 | − | 0.974620i | \(-0.571868\pi\) |
−0.600926 | + | 0.799305i | \(0.705201\pi\) | |||||||
\(822\) | −7.62675 | − | 6.86716i | −0.266014 | − | 0.239520i | ||||
\(823\) | 25.0262 | + | 2.63035i | 0.872357 | + | 0.0916884i | 0.530117 | − | 0.847924i | \(-0.322148\pi\) |
0.342240 | + | 0.939613i | \(0.388815\pi\) | |||||||
\(824\) | −0.110061 | + | 0.190632i | −0.00383416 | + | 0.00664097i | ||||
\(825\) | −17.0710 | − | 28.0131i | −0.594336 | − | 0.975290i | ||||
\(826\) | −2.15539 | − | 0.409676i | −0.0749955 | − | 0.0142545i | ||||
\(827\) | −5.64442 | + | 7.76888i | −0.196276 | + | 0.270150i | −0.895799 | − | 0.444459i | \(-0.853396\pi\) |
0.699523 | + | 0.714610i | \(0.253396\pi\) | |||||||
\(828\) | 21.6312 | − | 101.767i | 0.751737 | − | 3.53664i | ||||
\(829\) | 27.2048 | − | 30.2140i | 0.944862 | − | 1.04938i | −0.0538457 | − | 0.998549i | \(-0.517148\pi\) |
0.998708 | − | 0.0508261i | \(-0.0161854\pi\) | |||||||
\(830\) | −8.27537 | + | 8.47386i | −0.287242 | + | 0.294132i | ||||
\(831\) | 41.2120 | + | 45.7706i | 1.42963 | + | 1.58776i | ||||
\(832\) | − | 3.56493i | − | 0.123592i | ||||||
\(833\) | −2.39169 | + | 14.2559i | −0.0828672 | + | 0.493936i | ||||
\(834\) | 12.4069 | − | 9.01417i | 0.429617 | − | 0.312135i | ||||
\(835\) | −5.77230 | − | 14.5207i | −0.199759 | − | 0.502509i | ||||
\(836\) | −0.974441 | + | 9.27119i | −0.0337018 | + | 0.320651i | ||||
\(837\) | −27.7113 | + | 62.2407i | −0.957844 | + | 2.15135i | ||||
\(838\) | 4.39373 | − | 0.461800i | 0.151779 | − | 0.0159526i | ||||
\(839\) | 22.7823 | + | 16.5523i | 0.786534 | + | 0.571450i | 0.906933 | − | 0.421275i | \(-0.138417\pi\) |
−0.120399 | + | 0.992726i | \(0.538417\pi\) | |||||||
\(840\) | 22.7721 | + | 13.7278i | 0.785712 | + | 0.473653i | ||||
\(841\) | 23.3417 | − | 16.9587i | 0.804886 | − | 0.584784i | ||||
\(842\) | −2.82242 | + | 2.54132i | −0.0972669 | + | 0.0875795i | ||||
\(843\) | −3.06793 | + | 1.77127i | −0.105665 | + | 0.0610058i | ||||
\(844\) | −27.5184 | + | 5.84922i | −0.947223 | + | 0.201338i | ||||
\(845\) | −26.0391 | + | 10.3511i | −0.895773 | + | 0.356090i | ||||
\(846\) | 1.37218 | + | 4.22314i | 0.0471766 | + | 0.145195i | ||||
\(847\) | −7.24199 | + | 17.2601i | −0.248838 | + | 0.593065i | ||||
\(848\) | 5.47056 | − | 7.52957i | 0.187860 | − | 0.258567i | ||||
\(849\) | −15.2833 | + | 26.4715i | −0.524523 | + | 0.908500i | ||||
\(850\) | −1.54780 | − | 3.26584i | −0.0530890 | − | 0.112018i | ||||
\(851\) | −16.9853 | − | 29.4194i | −0.582249 | − | 1.00848i | ||||
\(852\) | 30.0413 | + | 67.4739i | 1.02920 | + | 2.31162i | ||||
\(853\) | 9.46128 | − | 3.07416i | 0.323948 | − | 0.105257i | −0.142528 | − | 0.989791i | \(-0.545523\pi\) |
0.466476 | + | 0.884534i | \(0.345523\pi\) | |||||||
\(854\) | 0.0688399 | − | 0.0523245i | 0.00235565 | − | 0.00179051i | ||||
\(855\) | −44.6060 | − | 1.80798i | −1.52549 | − | 0.0618315i | ||||
\(856\) | 9.80093 | + | 10.8850i | 0.334989 | + | 0.372043i | ||||
\(857\) | 14.9882 | − | 8.65345i | 0.511988 | − | 0.295596i | −0.221663 | − | 0.975123i | \(-0.571148\pi\) |
0.733650 | + | 0.679527i | \(0.237815\pi\) | |||||||
\(858\) | 0.326846 | + | 1.53769i | 0.0111584 | + | 0.0524959i | ||||
\(859\) | −2.04279 | − | 19.4358i | −0.0696990 | − | 0.663142i | −0.972471 | − | 0.233023i | \(-0.925138\pi\) |
0.902772 | − | 0.430119i | \(-0.141528\pi\) | |||||||
\(860\) | −0.445869 | + | 11.0004i | −0.0152040 | + | 0.375110i | ||||
\(861\) | 19.3364 | − | 64.1995i | 0.658982 | − | 2.18791i | ||||
\(862\) | −6.08159 | − | 8.37059i | −0.207140 | − | 0.285104i | ||||
\(863\) | 11.3581 | − | 1.19378i | 0.386633 | − | 0.0406368i | 0.0907818 | − | 0.995871i | \(-0.471063\pi\) |
0.295851 | + | 0.955234i | \(0.404397\pi\) | |||||||
\(864\) | −6.63996 | + | 63.1750i | −0.225896 | + | 2.14926i | ||||
\(865\) | −13.9530 | + | 28.2056i | −0.474415 | + | 0.959019i | ||||
\(866\) | 0.831739 | + | 7.91346i | 0.0282636 | + | 0.268910i | ||||
\(867\) | −40.1107 | − | 13.0327i | −1.36223 | − | 0.442615i | ||||
\(868\) | −15.5865 | − | 13.4358i | −0.529040 | − | 0.456041i | ||||
\(869\) | 6.55546 | − | 20.1756i | 0.222379 | − | 0.684411i | ||||
\(870\) | 0.636848 | + | 0.767661i | 0.0215912 | + | 0.0260262i | ||||
\(871\) | 4.33934 | − | 4.81933i | 0.147033 | − | 0.163297i | ||||
\(872\) | −6.76671 | − | 6.09277i | −0.229150 | − | 0.206327i | ||||
\(873\) | 19.0467 | + | 42.7795i | 0.644632 | + | 1.44787i | ||||
\(874\) | 6.10213 | 0.206408 | ||||||||
\(875\) | 9.27575 | + | 28.0884i | 0.313578 | + | 0.949563i | ||||
\(876\) | −99.0543 | −3.34674 | ||||||||
\(877\) | 11.8503 | + | 26.6162i | 0.400157 | + | 0.898767i | 0.995452 | + | 0.0952599i | \(0.0303682\pi\) |
−0.595296 | + | 0.803507i | \(0.702965\pi\) | |||||||
\(878\) | 8.01335 | + | 7.21525i | 0.270437 | + | 0.243503i | ||||
\(879\) | −3.95094 | + | 4.38796i | −0.133262 | + | 0.148002i | ||||
\(880\) | 9.27754 | + | 11.1832i | 0.312746 | + | 0.376986i | ||||
\(881\) | 10.1858 | − | 31.3487i | 0.343169 | − | 1.05617i | −0.619388 | − | 0.785085i | \(-0.712619\pi\) |
0.962557 | − | 0.271080i | \(-0.0873809\pi\) | |||||||
\(882\) | −19.3058 | + | 2.87708i | −0.650059 | + | 0.0968763i | ||||
\(883\) | 31.9617 | + | 10.3850i | 1.07560 | + | 0.349482i | 0.792664 | − | 0.609658i | \(-0.208693\pi\) |
0.282931 | + | 0.959140i | \(0.408693\pi\) | |||||||
\(884\) | −0.277414 | − | 2.63942i | −0.00933044 | − | 0.0887732i | ||||
\(885\) | 7.77842 | − | 15.7239i | 0.261469 | − | 0.528553i | ||||
\(886\) | −0.145931 | + | 1.38844i | −0.00490266 | + | 0.0466457i | ||||
\(887\) | 33.0997 | − | 3.47892i | 1.11138 | − | 0.116811i | 0.469000 | − | 0.883198i | \(-0.344615\pi\) |
0.642378 | + | 0.766388i | \(0.277948\pi\) | |||||||
\(888\) | 12.9013 | + | 17.7571i | 0.432940 | + | 0.595890i | ||||
\(889\) | −12.8030 | − | 13.6156i | −0.429398 | − | 0.456653i | ||||
\(890\) | 0.396283 | − | 9.77702i | 0.0132835 | − | 0.327726i | ||||
\(891\) | 6.32946 | + | 60.2208i | 0.212045 | + | 2.01747i | ||||
\(892\) | 5.78331 | + | 27.2083i | 0.193639 | + | 0.911002i | ||||
\(893\) | 3.45629 | − | 1.99549i | 0.115660 | − | 0.0667765i | ||||
\(894\) | 5.84020 | + | 6.48620i | 0.195325 | + | 0.216931i | ||||
\(895\) | −7.38139 | − | 0.299183i | −0.246733 | − | 0.0100006i | ||||
\(896\) | −23.2940 | − | 9.77366i | −0.778198 | − | 0.326515i | ||||
\(897\) | −14.9969 | + | 4.87279i | −0.500733 | + | 0.162698i | ||||
\(898\) | −1.90079 | − | 4.26925i | −0.0634302 | − | 0.142467i | ||||
\(899\) | −0.797113 | − | 1.38064i | −0.0265852 | − | 0.0460469i | ||||
\(900\) | −54.3730 | + | 51.3424i | −1.81243 | + | 1.71141i | ||||
\(901\) | 2.92985 | − | 5.07465i | 0.0976075 | − | 0.169061i | ||||
\(902\) | −3.11937 | + | 4.29344i | −0.103864 | + | 0.142956i | ||||
\(903\) | −13.9037 | − | 18.2922i | −0.462687 | − | 0.608726i | ||||
\(904\) | −0.0785308 | − | 0.241693i | −0.00261189 | − | 0.00803858i | ||||
\(905\) | −23.9579 | + | 9.52381i | −0.796388 | + | 0.316582i | ||||
\(906\) | −6.62231 | + | 1.40762i | −0.220012 | + | 0.0467649i | ||||
\(907\) | −12.7420 | + | 7.35659i | −0.423091 | + | 0.244272i | −0.696399 | − | 0.717655i | \(-0.745216\pi\) |
0.273308 | + | 0.961927i | \(0.411882\pi\) | |||||||
\(908\) | −13.6398 | + | 12.2813i | −0.452652 | + | 0.407570i | ||||
\(909\) | −14.0475 | + | 10.2061i | −0.465926 | + | 0.338515i | ||||
\(910\) | 0.0267907 | − | 1.41728i | 0.000888104 | − | 0.0469822i | ||||
\(911\) | −27.9220 | − | 20.2865i | −0.925098 | − | 0.672123i | 0.0196899 | − | 0.999806i | \(-0.493732\pi\) |
−0.944788 | + | 0.327683i | \(0.893732\pi\) | |||||||
\(912\) | 27.0715 | − | 2.84533i | 0.896428 | − | 0.0942184i | ||||
\(913\) | 12.1948 | − | 27.3899i | 0.403588 | − | 0.906473i | ||||
\(914\) | −0.145398 | + | 1.38337i | −0.00480933 | + | 0.0457577i | ||||
\(915\) | 0.255402 | + | 0.642484i | 0.00844333 | + | 0.0212399i | ||||
\(916\) | −6.59074 | + | 4.78846i | −0.217764 | + | 0.158215i | ||||
\(917\) | −28.0753 | + | 17.0286i | −0.927129 | + | 0.562333i | ||||
\(918\) | 11.8874i | 0.392343i | ||||||||
\(919\) | 34.2861 | + | 38.0786i | 1.13099 | + | 1.25610i | 0.962763 | + | 0.270348i | \(0.0871388\pi\) |
0.168231 | + | 0.985748i | \(0.446195\pi\) | |||||||
\(920\) | 14.7497 | − | 15.1035i | 0.486285 | − | 0.497948i | ||||
\(921\) | 0.571369 | − | 0.634570i | 0.0188273 | − | 0.0209098i | ||||
\(922\) | 1.30605 | − | 6.14448i | 0.0430125 | − | 0.202358i | ||||
\(923\) | 4.77985 | − | 6.57890i | 0.157331 | − | 0.216547i | ||||
\(924\) | −32.0173 | − | 6.08556i | −1.05329 | − | 0.200200i | ||||
\(925\) | −1.97615 | + | 24.3375i | −0.0649754 | + | 0.800213i | ||||
\(926\) | 6.08300 | − | 10.5361i | 0.199900 | − | 0.346236i | ||||
\(927\) | 1.28494 | + | 0.135053i | 0.0422030 | + | 0.00443571i | ||||
\(928\) | −1.10461 | − | 0.994599i | −0.0362607 | − | 0.0326493i | ||||
\(929\) | 13.9453 | + | 2.96417i | 0.457531 | + | 0.0972513i | 0.430911 | − | 0.902394i | \(-0.358192\pi\) |
0.0266202 | + | 0.999646i | \(0.491526\pi\) | |||||||
\(930\) | −8.93521 | + | 5.95430i | −0.292997 | + | 0.195249i | ||||
\(931\) | 6.13691 | + | 16.4347i | 0.201129 | + | 0.538625i | ||||
\(932\) | 3.79999i | 0.124473i | ||||||||
\(933\) | 3.66865 | − | 3.30327i | 0.120106 | − | 0.108144i | ||||
\(934\) | −2.20650 | − | 0.982397i | −0.0721989 | − | 0.0321450i | ||||
\(935\) | 6.54509 | + | 6.39178i | 0.214047 | + | 0.209034i | ||||
\(936\) | 6.76136 | − | 3.01035i | 0.221002 | − | 0.0983964i | ||||
\(937\) | 6.12858 | + | 8.43527i | 0.200212 | + | 0.275568i | 0.897304 | − | 0.441414i | \(-0.145523\pi\) |
−0.697092 | + | 0.716982i | \(0.745523\pi\) | |||||||
\(938\) | −3.74082 | − | 7.93594i | −0.122142 | − | 0.259117i | ||||
\(939\) | −43.1006 | − | 31.3144i | −1.40653 | − | 1.02191i | ||||
\(940\) | 1.65368 | − | 6.47771i | 0.0539371 | − | 0.211279i | ||||
\(941\) | −7.11634 | − | 3.16840i | −0.231986 | − | 0.103287i | 0.287452 | − | 0.957795i | \(-0.407192\pi\) |
−0.519438 | + | 0.854508i | \(0.673859\pi\) | |||||||
\(942\) | −2.73864 | − | 12.8843i | −0.0892296 | − | 0.419792i | ||||
\(943\) | −46.1009 | − | 26.6164i | −1.50125 | − | 0.866749i | ||||
\(944\) | −2.40117 | + | 7.39003i | −0.0781514 | + | 0.240525i | ||||
\(945\) | 11.9972 | − | 96.5538i | 0.390269 | − | 3.14089i | ||||
\(946\) | 0.561986 | + | 1.72962i | 0.0182717 | + | 0.0562346i | ||||
\(947\) | 2.67424 | − | 12.5813i | 0.0869012 | − | 0.408838i | −0.913098 | − | 0.407740i | \(-0.866317\pi\) |
0.999999 | − | 0.00109824i | \(-0.000349582\pi\) | |||||||
\(948\) | −66.2069 | − | 6.95863i | −2.15030 | − | 0.226006i | ||||
\(949\) | 5.45298 | + | 9.44483i | 0.177011 | + | 0.306592i | ||||
\(950\) | −3.60855 | − | 2.49329i | −0.117077 | − | 0.0808929i | ||||
\(951\) | 63.0150 | 2.04340 | ||||||||
\(952\) | −7.10015 | − | 2.13851i | −0.230117 | − | 0.0693095i | ||||
\(953\) | −47.8541 | + | 15.5487i | −1.55015 | + | 0.503673i | −0.954154 | − | 0.299317i | \(-0.903241\pi\) |
−0.595993 | + | 0.802990i | \(0.703241\pi\) | |||||||
\(954\) | 7.73955 | + | 1.64509i | 0.250577 | + | 0.0532618i | ||||
\(955\) | 27.0840 | − | 27.7336i | 0.876418 | − | 0.897439i | ||||
\(956\) | 10.3580 | − | 2.20166i | 0.335002 | − | 0.0712069i | ||||
\(957\) | −2.18658 | − | 1.26242i | −0.0706821 | − | 0.0408083i | ||||
\(958\) | −13.7520 | − | 4.46831i | −0.444308 | − | 0.144364i | ||||
\(959\) | −19.2445 | − | 13.3563i | −0.621436 | − | 0.431296i | ||||
\(960\) | 23.9116 | − | 30.2545i | 0.771743 | − | 0.976459i | ||||
\(961\) | −12.6418 | + | 5.62849i | −0.407800 | + | 0.181564i | ||||
\(962\) | 0.475932 | − | 1.06896i | 0.0153446 | − | 0.0344646i | ||||
\(963\) | 34.9683 | − | 78.5400i | 1.12684 | − | 2.53092i | ||||
\(964\) | −34.5088 | + | 15.3643i | −1.11145 | + | 0.494851i | ||||
\(965\) | −30.1908 | − | 11.1805i | −0.971877 | − | 0.359914i | ||||
\(966\) | −1.77095 | + | 21.2593i | −0.0569795 | + | 0.684008i | ||||
\(967\) | −6.65950 | − | 2.16380i | −0.214155 | − | 0.0695832i | 0.199975 | − | 0.979801i | \(-0.435914\pi\) |
−0.414130 | + | 0.910218i | \(0.635914\pi\) | |||||||
\(968\) | −8.31553 | − | 4.80098i | −0.267271 | − | 0.154309i | ||||
\(969\) | 16.7635 | − | 3.56320i | 0.538523 | − | 0.114466i | ||||
\(970\) | −0.665832 | + | 4.55240i | −0.0213786 | + | 0.146169i | ||||
\(971\) | 40.0699 | + | 8.51712i | 1.28590 | + | 0.273327i | 0.799638 | − | 0.600483i | \(-0.205025\pi\) |
0.486267 | + | 0.873810i | \(0.338358\pi\) | |||||||
\(972\) | 92.6224 | − | 30.0948i | 2.97086 | − | 0.965293i | ||||
\(973\) | 25.5012 | − | 23.9792i | 0.817532 | − | 0.768738i | ||||
\(974\) | −7.18765 | −0.230307 | ||||||||
\(975\) | 10.8596 | + | 3.24606i | 0.347784 | + | 0.103957i | ||||
\(976\) | −0.153121 | − | 0.265214i | −0.00490130 | − | 0.00848930i | ||||
\(977\) | −55.7200 | − | 5.85641i | −1.78264 | − | 0.187363i | −0.844953 | − | 0.534841i | \(-0.820372\pi\) |
−0.937688 | + | 0.347477i | \(0.887038\pi\) | |||||||
\(978\) | −5.09946 | + | 23.9911i | −0.163063 | + | 0.767151i | ||||
\(979\) | 7.65411 | + | 23.5569i | 0.244626 | + | 0.752883i | ||||
\(980\) | 26.8788 | + | 11.8801i | 0.858613 | + | 0.379496i | ||||
\(981\) | −16.5155 | + | 50.8294i | −0.527298 | + | 1.62286i | ||||
\(982\) | 7.98942 | + | 4.61269i | 0.254953 | + | 0.147197i | ||||
\(983\) | 2.25892 | + | 10.6274i | 0.0720485 | + | 0.338962i | 0.999377 | − | 0.0352862i | \(-0.0112343\pi\) |
−0.927329 | + | 0.374248i | \(0.877901\pi\) | |||||||
\(984\) | 31.4211 | + | 13.9896i | 1.00167 | + | 0.445971i | ||||
\(985\) | 29.0856 | + | 18.4021i | 0.926744 | + | 0.586340i | ||||
\(986\) | −0.225035 | − | 0.163498i | −0.00716658 | − | 0.00520683i | ||||
\(987\) | 5.94905 | + | 12.6206i | 0.189360 | + | 0.401717i | ||||
\(988\) | −1.89321 | − | 2.60578i | −0.0602310 | − | 0.0829009i | ||||
\(989\) | −16.6650 | + | 7.41972i | −0.529915 | + | 0.235933i | ||||
\(990\) | −5.47743 | + | 11.0725i | −0.174084 | + | 0.351907i | ||||
\(991\) | 24.0045 | + | 10.6875i | 0.762526 | + | 0.339499i | 0.750884 | − | 0.660434i | \(-0.229627\pi\) |
0.0116420 | + | 0.999932i | \(0.496294\pi\) | |||||||
\(992\) | 11.8912 | − | 10.7068i | 0.377545 | − | 0.339943i | ||||
\(993\) | 85.7301i | 2.72056i | ||||||||
\(994\) | −5.70533 | − | 9.40649i | −0.180962 | − | 0.298356i | ||||
\(995\) | 12.6862 | − | 34.2567i | 0.402181 | − | 1.08601i | ||||
\(996\) | −92.0307 | − | 19.5617i | −2.91610 | − | 0.619837i | ||||
\(997\) | 40.3914 | + | 36.3686i | 1.27921 | + | 1.15181i | 0.980298 | + | 0.197525i | \(0.0632904\pi\) |
0.298912 | + | 0.954281i | \(0.403376\pi\) | |||||||
\(998\) | −0.877596 | − | 0.0922390i | −0.0277798 | − | 0.00291977i | ||||
\(999\) | 40.1574 | − | 69.5546i | 1.27052 | − | 2.20061i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 175.2.t.a.9.8 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.q.b.576.22 | 288 | |||
5.3 | odd | 4 | 875.2.q.b.576.15 | 288 | |||
5.4 | even | 2 | 875.2.u.a.674.11 | 144 | |||
7.4 | even | 3 | inner | 175.2.t.a.109.11 | yes | 144 | |
25.2 | odd | 20 | 875.2.q.b.51.15 | 288 | |||
25.11 | even | 5 | 875.2.u.a.324.8 | 144 | |||
25.14 | even | 10 | inner | 175.2.t.a.114.11 | yes | 144 | |
25.23 | odd | 20 | 875.2.q.b.51.22 | 288 | |||
35.4 | even | 6 | 875.2.u.a.424.8 | 144 | |||
35.18 | odd | 12 | 875.2.q.b.326.22 | 288 | |||
35.32 | odd | 12 | 875.2.q.b.326.15 | 288 | |||
175.11 | even | 15 | 875.2.u.a.74.11 | 144 | |||
175.39 | even | 30 | inner | 175.2.t.a.39.8 | yes | 144 | |
175.102 | odd | 60 | 875.2.q.b.676.22 | 288 | |||
175.123 | odd | 60 | 875.2.q.b.676.15 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.t.a.9.8 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.t.a.39.8 | yes | 144 | 175.39 | even | 30 | inner | |
175.2.t.a.109.11 | yes | 144 | 7.4 | even | 3 | inner | |
175.2.t.a.114.11 | yes | 144 | 25.14 | even | 10 | inner | |
875.2.q.b.51.15 | 288 | 25.2 | odd | 20 | |||
875.2.q.b.51.22 | 288 | 25.23 | odd | 20 | |||
875.2.q.b.326.15 | 288 | 35.32 | odd | 12 | |||
875.2.q.b.326.22 | 288 | 35.18 | odd | 12 | |||
875.2.q.b.576.15 | 288 | 5.3 | odd | 4 | |||
875.2.q.b.576.22 | 288 | 5.2 | odd | 4 | |||
875.2.q.b.676.15 | 288 | 175.123 | odd | 60 | |||
875.2.q.b.676.22 | 288 | 175.102 | odd | 60 | |||
875.2.u.a.74.11 | 144 | 175.11 | even | 15 | |||
875.2.u.a.324.8 | 144 | 25.11 | even | 5 | |||
875.2.u.a.424.8 | 144 | 35.4 | even | 6 | |||
875.2.u.a.674.11 | 144 | 5.4 | even | 2 |