Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [896,2,Mod(29,896)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(896, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 27, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("896.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 896 = 2^{7} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 896.bn (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.15459602111\) |
Analytic rank: | \(0\) |
Dimension: | \(784\) |
Relative dimension: | \(49\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 29.10 | ||
Character | \(\chi\) | \(=\) | 896.29 |
Dual form | 896.2.bn.b.309.10 |
$q$-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 \(\left(\mathbb{Z}/896\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(645\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{27}{32}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.12995 | + | 0.850426i | −0.798992 | + | 0.601342i | ||||
\(3\) | 0.332463 | − | 3.37555i | 0.191947 | − | 1.94888i | −0.106175 | − | 0.994347i | \(-0.533860\pi\) |
0.298122 | − | 0.954528i | \(-0.403640\pi\) | |||||||
\(4\) | 0.553552 | − | 1.92187i | 0.276776 | − | 0.960935i | ||||
\(5\) | −2.95960 | + | 1.58194i | −1.32357 | + | 0.707464i | −0.973376 | − | 0.229213i | \(-0.926385\pi\) |
−0.350195 | + | 0.936677i | \(0.613885\pi\) | |||||||
\(6\) | 2.49499 | + | 4.09692i | 1.01858 | + | 1.67256i | ||||
\(7\) | 0.195090 | + | 0.980785i | 0.0737372 | + | 0.370702i | ||||
\(8\) | 1.00892 | + | 2.64236i | 0.356709 | + | 0.934216i | ||||
\(9\) | −8.34145 | − | 1.65922i | −2.78048 | − | 0.553073i | ||||
\(10\) | 1.99886 | − | 4.30442i | 0.632095 | − | 1.36118i | ||||
\(11\) | −0.659127 | + | 0.803149i | −0.198734 | + | 0.242158i | −0.862836 | − | 0.505484i | \(-0.831314\pi\) |
0.664102 | + | 0.747642i | \(0.268814\pi\) | |||||||
\(12\) | −6.30333 | − | 2.50749i | −1.81961 | − | 0.723850i | ||||
\(13\) | 2.41691 | − | 4.52173i | 0.670331 | − | 1.25410i | −0.284990 | − | 0.958530i | \(-0.591990\pi\) |
0.955321 | − | 0.295570i | \(-0.0955097\pi\) | |||||||
\(14\) | −1.05453 | − | 0.942324i | −0.281834 | − | 0.251847i | ||||
\(15\) | 4.35595 | + | 10.5162i | 1.12470 | + | 2.71527i | ||||
\(16\) | −3.38716 | − | 2.12771i | −0.846790 | − | 0.531927i | ||||
\(17\) | −2.20695 | + | 5.32804i | −0.535263 | + | 1.29224i | 0.392734 | + | 0.919652i | \(0.371529\pi\) |
−0.927997 | + | 0.372587i | \(0.878471\pi\) | |||||||
\(18\) | 10.8364 | − | 5.21896i | 2.55417 | − | 1.23012i | ||||
\(19\) | 1.67545 | + | 5.52323i | 0.384375 | + | 1.26712i | 0.909362 | + | 0.416005i | \(0.136570\pi\) |
−0.524987 | + | 0.851110i | \(0.675930\pi\) | |||||||
\(20\) | 1.40199 | + | 6.56364i | 0.313494 | + | 1.46767i | ||||
\(21\) | 3.37555 | − | 0.332463i | 0.736606 | − | 0.0725493i | ||||
\(22\) | 0.0617590 | − | 1.46805i | 0.0131671 | − | 0.312990i | ||||
\(23\) | 2.51859 | − | 1.68287i | 0.525163 | − | 0.350903i | −0.264557 | − | 0.964370i | \(-0.585226\pi\) |
0.789720 | + | 0.613467i | \(0.210226\pi\) | |||||||
\(24\) | 9.25485 | − | 2.52719i | 1.88914 | − | 0.515860i | ||||
\(25\) | 3.47883 | − | 5.20644i | 0.695767 | − | 1.04129i | ||||
\(26\) | 1.11441 | + | 7.16471i | 0.218555 | + | 1.40511i | ||||
\(27\) | −5.42016 | + | 17.8679i | −1.04311 | + | 3.43868i | ||||
\(28\) | 1.99293 | + | 0.167977i | 0.376629 | + | 0.0317447i | ||||
\(29\) | −3.12574 | + | 2.56523i | −0.580435 | + | 0.476351i | −0.878203 | − | 0.478287i | \(-0.841258\pi\) |
0.297768 | + | 0.954638i | \(0.403758\pi\) | |||||||
\(30\) | −13.8652 | − | 8.17831i | −2.53143 | − | 1.49315i | ||||
\(31\) | 0.626369 | − | 0.626369i | 0.112499 | − | 0.112499i | −0.648616 | − | 0.761115i | \(-0.724652\pi\) |
0.761115 | + | 0.648616i | \(0.224652\pi\) | |||||||
\(32\) | 5.63676 | − | 0.476337i | 0.996448 | − | 0.0842053i | ||||
\(33\) | 2.49193 | + | 2.49193i | 0.433790 | + | 0.433790i | ||||
\(34\) | −2.03737 | − | 7.89724i | −0.349407 | − | 1.35436i | ||||
\(35\) | −2.12893 | − | 2.59411i | −0.359855 | − | 0.438484i | ||||
\(36\) | −7.80623 | + | 15.1127i | −1.30104 | + | 2.51879i | ||||
\(37\) | 9.00695 | + | 2.73223i | 1.48073 | + | 0.449176i | 0.924284 | − | 0.381705i | \(-0.124663\pi\) |
0.556450 | + | 0.830881i | \(0.312163\pi\) | |||||||
\(38\) | −6.59027 | − | 4.81610i | −1.06908 | − | 0.781274i | ||||
\(39\) | −14.4598 | − | 9.66172i | −2.31542 | − | 1.54711i | ||||
\(40\) | −7.16606 | − | 6.22427i | −1.13305 | − | 0.984143i | ||||
\(41\) | −3.58752 | − | 5.36910i | −0.560276 | − | 0.838513i | 0.437891 | − | 0.899028i | \(-0.355726\pi\) |
−0.998167 | + | 0.0605152i | \(0.980726\pi\) | |||||||
\(42\) | −3.53145 | + | 3.24632i | −0.544915 | + | 0.500918i | ||||
\(43\) | 0.0475893 | + | 0.483182i | 0.00725730 | + | 0.0736846i | 0.998131 | − | 0.0611077i | \(-0.0194633\pi\) |
−0.990874 | + | 0.134792i | \(0.956963\pi\) | |||||||
\(44\) | 1.17869 | + | 1.71134i | 0.177694 | + | 0.257994i | ||||
\(45\) | 27.3121 | − | 8.28504i | 4.07145 | − | 1.23506i | ||||
\(46\) | −1.41472 | + | 4.04343i | −0.208589 | + | 0.596171i | ||||
\(47\) | −5.84605 | − | 2.42151i | −0.852734 | − | 0.353214i | −0.0868723 | − | 0.996219i | \(-0.527687\pi\) |
−0.765862 | + | 0.643006i | \(0.777687\pi\) | |||||||
\(48\) | −8.30829 | + | 10.7262i | −1.19920 | + | 1.54819i | ||||
\(49\) | −0.923880 | + | 0.382683i | −0.131983 | + | 0.0546691i | ||||
\(50\) | 0.496803 | + | 8.84148i | 0.0702585 | + | 1.25037i | ||||
\(51\) | 17.2513 | + | 9.22103i | 2.41567 | + | 1.29120i | ||||
\(52\) | −7.35228 | − | 7.14800i | −1.01958 | − | 0.991249i | ||||
\(53\) | 6.19517 | + | 5.08424i | 0.850972 | + | 0.698375i | 0.955130 | − | 0.296186i | \(-0.0957149\pi\) |
−0.104158 | + | 0.994561i | \(0.533215\pi\) | |||||||
\(54\) | −9.07082 | − | 24.7992i | −1.23438 | − | 3.37474i | ||||
\(55\) | 0.680219 | − | 3.41969i | 0.0917207 | − | 0.461111i | ||||
\(56\) | −2.39476 | + | 1.50504i | −0.320013 | + | 0.201119i | ||||
\(57\) | 19.2010 | − | 3.81931i | 2.54323 | − | 0.505880i | ||||
\(58\) | 1.35038 | − | 5.55678i | 0.177313 | − | 0.729641i | ||||
\(59\) | 4.11831 | + | 7.70482i | 0.536159 | + | 1.00308i | 0.993504 | + | 0.113793i | \(0.0363002\pi\) |
−0.457346 | + | 0.889289i | \(0.651200\pi\) | |||||||
\(60\) | 22.6220 | − | 2.55031i | 2.92049 | − | 0.329244i | ||||
\(61\) | 6.87472 | + | 0.677101i | 0.880218 | + | 0.0866939i | 0.528020 | − | 0.849232i | \(-0.322935\pi\) |
0.352197 | + | 0.935926i | \(0.385435\pi\) | |||||||
\(62\) | −0.175082 | + | 1.24044i | −0.0222354 | + | 0.157536i | ||||
\(63\) | − | 8.50487i | − | 1.07151i | ||||||
\(64\) | −5.96414 | + | 5.33188i | −0.745518 | + | 0.666486i | ||||
\(65\) | 17.2059i | 2.13413i | ||||||||
\(66\) | −4.93495 | − | 0.696543i | −0.607451 | − | 0.0857385i | ||||
\(67\) | −0.289081 | − | 0.0284720i | −0.0353169 | − | 0.00347841i | 0.0803433 | − | 0.996767i | \(-0.474398\pi\) |
−0.115660 | + | 0.993289i | \(0.536898\pi\) | |||||||
\(68\) | 9.01813 | + | 7.19081i | 1.09361 | + | 0.872013i | ||||
\(69\) | −4.84328 | − | 9.06114i | −0.583062 | − | 1.09083i | ||||
\(70\) | 4.61167 | + | 1.12070i | 0.551200 | + | 0.133950i | ||||
\(71\) | 10.4148 | − | 2.07163i | 1.23601 | − | 0.245857i | 0.466516 | − | 0.884513i | \(-0.345509\pi\) |
0.769493 | + | 0.638655i | \(0.220509\pi\) | |||||||
\(72\) | −4.03164 | − | 23.7152i | −0.475134 | − | 2.79486i | ||||
\(73\) | −0.326538 | + | 1.64162i | −0.0382184 | + | 0.192137i | −0.995178 | − | 0.0980837i | \(-0.968729\pi\) |
0.956960 | + | 0.290221i | \(0.0937287\pi\) | |||||||
\(74\) | −12.5009 | + | 4.57248i | −1.45320 | + | 0.531540i | ||||
\(75\) | −16.4180 | − | 13.4739i | −1.89579 | − | 1.55583i | ||||
\(76\) | 11.5424 | − | 0.162609i | 1.32400 | − | 0.0186526i | ||||
\(77\) | −0.916306 | − | 0.489776i | −0.104423 | − | 0.0558151i | ||||
\(78\) | 24.5553 | − | 1.37976i | 2.78034 | − | 0.156227i | ||||
\(79\) | −2.46180 | + | 1.01971i | −0.276975 | + | 0.114727i | −0.516847 | − | 0.856078i | \(-0.672894\pi\) |
0.239872 | + | 0.970804i | \(0.422894\pi\) | |||||||
\(80\) | 13.3905 | + | 0.938879i | 1.49711 | + | 0.104970i | ||||
\(81\) | 34.9395 | + | 14.4724i | 3.88217 | + | 1.60805i | ||||
\(82\) | 8.61972 | + | 3.01587i | 0.951889 | + | 0.333047i | ||||
\(83\) | 1.15561 | − | 0.350551i | 0.126845 | − | 0.0384779i | −0.226224 | − | 0.974075i | \(-0.572638\pi\) |
0.353069 | + | 0.935597i | \(0.385138\pi\) | |||||||
\(84\) | 1.22959 | − | 6.67140i | 0.134159 | − | 0.727910i | ||||
\(85\) | −1.89695 | − | 19.2601i | −0.205754 | − | 2.08905i | ||||
\(86\) | −0.464684 | − | 0.505498i | −0.0501082 | − | 0.0545093i | ||||
\(87\) | 7.61987 | + | 11.4039i | 0.816936 | + | 1.22263i | ||||
\(88\) | −2.78722 | − | 0.931335i | −0.297118 | − | 0.0992807i | ||||
\(89\) | −7.71509 | − | 5.15506i | −0.817798 | − | 0.546435i | 0.0748472 | − | 0.997195i | \(-0.476153\pi\) |
−0.892645 | + | 0.450760i | \(0.851153\pi\) | |||||||
\(90\) | −23.8154 | + | 32.5886i | −2.51036 | + | 3.43514i | ||||
\(91\) | 4.90636 | + | 1.48833i | 0.514326 | + | 0.156019i | ||||
\(92\) | −1.84009 | − | 5.77197i | −0.191842 | − | 0.601769i | ||||
\(93\) | −1.90609 | − | 2.32258i | −0.197653 | − | 0.240841i | ||||
\(94\) | 8.66503 | − | 2.23545i | 0.893730 | − | 0.230570i | ||||
\(95\) | −13.6961 | − | 13.6961i | −1.40519 | − | 1.40519i | ||||
\(96\) | 0.266114 | − | 19.1855i | 0.0271601 | − | 1.95812i | ||||
\(97\) | −2.03528 | + | 2.03528i | −0.206652 | + | 0.206652i | −0.802843 | − | 0.596191i | \(-0.796680\pi\) |
0.596191 | + | 0.802843i | \(0.296680\pi\) | |||||||
\(98\) | 0.718489 | − | 1.21810i | 0.0725784 | − | 0.123047i | ||||
\(99\) | 6.83068 | − | 5.60579i | 0.686509 | − | 0.563403i | ||||
\(100\) | −8.08039 | − | 9.56790i | −0.808039 | − | 0.956790i | ||||
\(101\) | 0.190690 | − | 0.628620i | 0.0189743 | − | 0.0625500i | −0.946942 | − | 0.321405i | \(-0.895845\pi\) |
0.965916 | + | 0.258855i | \(0.0833451\pi\) | |||||||
\(102\) | −27.3349 | + | 4.25172i | −2.70656 | + | 0.420983i | ||||
\(103\) | −9.37465 | + | 14.0302i | −0.923712 | + | 1.38243i | 0.000272104 | 1.00000i | \(0.499913\pi\) | |
−0.923984 | + | 0.382432i | \(0.875087\pi\) | |||||||
\(104\) | 14.3865 | + | 1.82428i | 1.41071 | + | 0.178885i | ||||
\(105\) | −9.46433 | + | 6.32386i | −0.923624 | + | 0.617146i | ||||
\(106\) | −11.3240 | − | 0.476384i | −1.09988 | − | 0.0462705i | ||||
\(107\) | 7.66988 | − | 0.755417i | 0.741475 | − | 0.0730289i | 0.279776 | − | 0.960065i | \(-0.409740\pi\) |
0.461699 | + | 0.887036i | \(0.347240\pi\) | |||||||
\(108\) | 31.3394 | + | 20.3076i | 3.01563 | + | 1.95410i | ||||
\(109\) | −0.0611671 | − | 0.201641i | −0.00585874 | − | 0.0193137i | 0.953962 | − | 0.299927i | \(-0.0969622\pi\) |
−0.959821 | + | 0.280613i | \(0.909462\pi\) | |||||||
\(110\) | 2.13959 | + | 4.44254i | 0.204001 | + | 0.423580i | ||||
\(111\) | 12.2173 | − | 29.4951i | 1.15961 | − | 2.79955i | ||||
\(112\) | 1.42602 | − | 3.73717i | 0.134746 | − | 0.353130i | ||||
\(113\) | 4.67288 | + | 11.2813i | 0.439587 | + | 1.06126i | 0.976092 | + | 0.217360i | \(0.0697445\pi\) |
−0.536504 | + | 0.843898i | \(0.680256\pi\) | |||||||
\(114\) | −18.4480 | + | 20.6446i | −1.72781 | + | 1.93354i | ||||
\(115\) | −4.79183 | + | 8.96488i | −0.446840 | + | 0.835979i | ||||
\(116\) | 3.19978 | + | 7.42725i | 0.297092 | + | 0.689603i | ||||
\(117\) | −27.6631 | + | 33.7076i | −2.55745 | + | 3.11627i | ||||
\(118\) | −11.2058 | − | 5.20371i | −1.03158 | − | 0.479040i | ||||
\(119\) | −5.65622 | − | 1.12509i | −0.518504 | − | 0.103137i | ||||
\(120\) | −23.3928 | + | 22.1201i | −2.13546 | + | 2.01928i | ||||
\(121\) | 1.93539 | + | 9.72988i | 0.175945 | + | 0.884535i | ||||
\(122\) | −8.34388 | + | 5.08135i | −0.755419 | + | 0.460044i | ||||
\(123\) | −19.3164 | + | 10.3248i | −1.74170 | + | 0.930958i | ||||
\(124\) | −0.857071 | − | 1.55053i | −0.0769673 | − | 0.139241i | ||||
\(125\) | −0.415023 | + | 4.21380i | −0.0371208 | + | 0.376894i | ||||
\(126\) | 7.23276 | + | 9.61004i | 0.644346 | + | 0.856130i | ||||
\(127\) | −14.0363 | −1.24552 | −0.622759 | − | 0.782414i | \(-0.713988\pi\) | ||||
−0.622759 | + | 0.782414i | \(0.713988\pi\) | |||||||
\(128\) | 2.20478 | − | 11.0968i | 0.194877 | − | 0.980828i | ||||
\(129\) | 1.64683 | 0.144995 | ||||||||
\(130\) | −14.6323 | − | 19.4417i | −1.28334 | − | 1.70515i | ||||
\(131\) | −1.29793 | + | 13.1781i | −0.113401 | + | 1.15138i | 0.755073 | + | 0.655641i | \(0.227601\pi\) |
−0.868474 | + | 0.495735i | \(0.834899\pi\) | |||||||
\(132\) | 6.16858 | − | 3.40976i | 0.536906 | − | 0.296781i | ||||
\(133\) | −5.09024 | + | 2.72079i | −0.441379 | + | 0.235922i | ||||
\(134\) | 0.350859 | − | 0.213670i | 0.0303096 | − | 0.0184583i | ||||
\(135\) | −12.2244 | − | 61.4561i | −1.05211 | − | 5.28930i | ||||
\(136\) | −16.3052 | − | 0.455960i | −1.39816 | − | 0.0390983i | ||||
\(137\) | 0.0526869 | + | 0.0104801i | 0.00450134 | + | 0.000895372i | 0.197340 | − | 0.980335i | \(-0.436770\pi\) |
−0.192839 | + | 0.981230i | \(0.561770\pi\) | |||||||
\(138\) | 13.1785 | + | 6.11974i | 1.12183 | + | 0.520947i | ||||
\(139\) | −5.58014 | + | 6.79942i | −0.473301 | + | 0.576719i | −0.953863 | − | 0.300242i | \(-0.902933\pi\) |
0.480562 | + | 0.876961i | \(0.340433\pi\) | |||||||
\(140\) | −6.16401 | + | 2.65555i | −0.520954 | + | 0.224435i | ||||
\(141\) | −10.1175 | + | 18.9286i | −0.852050 | + | 1.59407i | ||||
\(142\) | −10.0064 | + | 11.1978i | −0.839717 | + | 0.939702i | ||||
\(143\) | 2.03856 | + | 4.92153i | 0.170473 | + | 0.411559i | ||||
\(144\) | 24.7235 | + | 23.3682i | 2.06029 | + | 1.94735i | ||||
\(145\) | 5.19290 | − | 12.5368i | 0.431247 | − | 1.04112i | ||||
\(146\) | −1.02711 | − | 2.13264i | −0.0850038 | − | 0.176498i | ||||
\(147\) | 0.984612 | + | 3.24583i | 0.0812094 | + | 0.267712i | ||||
\(148\) | 10.2368 | − | 15.7978i | 0.841460 | − | 1.29857i | ||||
\(149\) | 1.16586 | − | 0.114827i | 0.0955112 | − | 0.00940703i | −0.0501486 | − | 0.998742i | \(-0.515970\pi\) |
0.145660 | + | 0.989335i | \(0.453470\pi\) | |||||||
\(150\) | 30.0100 | + | 1.26248i | 2.45031 | + | 0.103081i | ||||
\(151\) | −10.7929 | + | 7.21161i | −0.878317 | + | 0.586873i | −0.910914 | − | 0.412596i | \(-0.864622\pi\) |
0.0325973 | + | 0.999469i | \(0.489622\pi\) | |||||||
\(152\) | −12.9040 | + | 9.99967i | −1.04665 | + | 0.811080i | ||||
\(153\) | 27.2495 | − | 40.7818i | 2.20299 | − | 3.29701i | ||||
\(154\) | 1.45189 | − | 0.225831i | 0.116997 | − | 0.0181979i | ||||
\(155\) | −0.862922 | + | 2.84467i | −0.0693116 | + | 0.228490i | ||||
\(156\) | −26.5728 | + | 22.4415i | −2.12753 | + | 1.79676i | ||||
\(157\) | 4.36597 | − | 3.58306i | 0.348442 | − | 0.285959i | −0.443850 | − | 0.896101i | \(-0.646388\pi\) |
0.792292 | + | 0.610142i | \(0.208888\pi\) | |||||||
\(158\) | 1.91451 | − | 3.24580i | 0.152310 | − | 0.258222i | ||||
\(159\) | 19.2218 | − | 19.2218i | 1.52439 | − | 1.52439i | ||||
\(160\) | −15.9290 | + | 10.3268i | −1.25930 | + | 0.816403i | ||||
\(161\) | 2.14189 | + | 2.14189i | 0.168804 | + | 0.168804i | ||||
\(162\) | −51.7874 | + | 13.3604i | −4.06881 | + | 1.04969i | ||||
\(163\) | 5.89751 | + | 7.18614i | 0.461929 | + | 0.562862i | 0.950924 | − | 0.309424i | \(-0.100136\pi\) |
−0.488995 | + | 0.872287i | \(0.662636\pi\) | |||||||
\(164\) | −12.3046 | + | 3.92267i | −0.960827 | + | 0.306309i | ||||
\(165\) | −11.3172 | − | 3.43303i | −0.881043 | − | 0.267261i | ||||
\(166\) | −1.00766 | + | 1.37886i | −0.0782095 | + | 0.107021i | ||||
\(167\) | 2.31151 | + | 1.54450i | 0.178870 | + | 0.119517i | 0.641782 | − | 0.766887i | \(-0.278195\pi\) |
−0.462912 | + | 0.886404i | \(0.653195\pi\) | |||||||
\(168\) | 4.28416 | + | 8.58399i | 0.330530 | + | 0.662269i | ||||
\(169\) | −7.38212 | − | 11.0481i | −0.567855 | − | 0.849856i | ||||
\(170\) | 18.5227 | + | 20.1496i | 1.42063 | + | 1.54541i | ||||
\(171\) | −4.81147 | − | 48.8517i | −0.367942 | − | 3.73578i | ||||
\(172\) | 0.954956 | + | 0.176006i | 0.0728147 | + | 0.0134203i | ||||
\(173\) | −21.2537 | + | 6.44724i | −1.61589 | + | 0.490174i | −0.963499 | − | 0.267710i | \(-0.913733\pi\) |
−0.652389 | + | 0.757885i | \(0.726233\pi\) | |||||||
\(174\) | −18.3082 | − | 6.40569i | −1.38794 | − | 0.485614i | ||||
\(175\) | 5.78509 | + | 2.39626i | 0.437312 | + | 0.181140i | ||||
\(176\) | 3.94143 | − | 1.31796i | 0.297097 | − | 0.0993453i | ||||
\(177\) | 27.3772 | − | 11.3400i | 2.05780 | − | 0.852367i | ||||
\(178\) | 13.1016 | − | 0.736180i | 0.982008 | − | 0.0551790i | ||||
\(179\) | 12.0612 | + | 6.44685i | 0.901497 | + | 0.481860i | 0.855925 | − | 0.517101i | \(-0.172989\pi\) |
0.0455727 | + | 0.998961i | \(0.485489\pi\) | |||||||
\(180\) | −0.804095 | − | 57.0765i | −0.0599337 | − | 4.25423i | ||||
\(181\) | −0.775099 | − | 0.636108i | −0.0576127 | − | 0.0472815i | 0.605146 | − | 0.796114i | \(-0.293115\pi\) |
−0.662759 | + | 0.748833i | \(0.730615\pi\) | |||||||
\(182\) | −6.80963 | + | 2.49077i | −0.504763 | + | 0.184628i | ||||
\(183\) | 4.57118 | − | 22.9809i | 0.337911 | − | 1.69879i | ||||
\(184\) | 6.98783 | + | 4.95715i | 0.515149 | + | 0.365446i | ||||
\(185\) | −30.9792 | + | 6.16214i | −2.27763 | + | 0.453049i | ||||
\(186\) | 4.12897 | + | 1.00340i | 0.302751 | + | 0.0735728i | ||||
\(187\) | −2.82455 | − | 5.28436i | −0.206552 | − | 0.386431i | ||||
\(188\) | −7.88992 | + | 9.89491i | −0.575432 | + | 0.721660i | ||||
\(189\) | −18.5820 | − | 1.83017i | −1.35164 | − | 0.133125i | ||||
\(190\) | 27.1233 | + | 3.82831i | 1.96773 | + | 0.277735i | ||||
\(191\) | − | 2.79707i | − | 0.202389i | −0.994867 | − | 0.101194i | \(-0.967734\pi\) | ||
0.994867 | − | 0.101194i | \(-0.0322664\pi\) | |||||||
\(192\) | 16.0152 | + | 21.9049i | 1.15580 | + | 1.58085i | ||||
\(193\) | 23.1081i | 1.66336i | 0.555255 | + | 0.831680i | \(0.312621\pi\) | ||||
−0.555255 | + | 0.831680i | \(0.687379\pi\) | |||||||
\(194\) | 0.568901 | − | 4.03062i | 0.0408447 | − | 0.289381i | ||||
\(195\) | 58.0793 | + | 5.72031i | 4.15915 | + | 0.409640i | ||||
\(196\) | 0.224052 | + | 1.98741i | 0.0160037 | + | 0.141958i | ||||
\(197\) | 3.37150 | + | 6.30764i | 0.240210 | + | 0.449401i | 0.972921 | − | 0.231139i | \(-0.0742453\pi\) |
−0.732711 | + | 0.680540i | \(0.761745\pi\) | |||||||
\(198\) | −2.95098 | + | 12.1432i | −0.209717 | + | 0.862981i | ||||
\(199\) | 11.1332 | − | 2.21452i | 0.789209 | − | 0.156983i | 0.216001 | − | 0.976393i | \(-0.430699\pi\) |
0.573208 | + | 0.819410i | \(0.305699\pi\) | |||||||
\(200\) | 17.2672 | + | 3.93943i | 1.22097 | + | 0.278560i | ||||
\(201\) | −0.192217 | + | 0.966342i | −0.0135580 | + | 0.0681605i | ||||
\(202\) | 0.319126 | + | 0.872473i | 0.0224536 | + | 0.0613870i | ||||
\(203\) | −3.12574 | − | 2.56523i | −0.219384 | − | 0.180044i | ||||
\(204\) | 27.2711 | − | 28.0505i | 1.90936 | − | 1.96393i | ||||
\(205\) | 19.1112 | + | 10.2151i | 1.33478 | + | 0.713457i | ||||
\(206\) | −1.33877 | − | 23.8257i | −0.0932764 | − | 1.66002i | ||||
\(207\) | −23.8010 | + | 9.85870i | −1.65428 | + | 0.685227i | ||||
\(208\) | −17.8074 | + | 10.1733i | −1.23472 | + | 0.705393i | ||||
\(209\) | −5.54031 | − | 2.29487i | −0.383231 | − | 0.158740i | ||||
\(210\) | 5.31620 | − | 15.1943i | 0.366852 | − | 1.04851i | ||||
\(211\) | −4.80702 | + | 1.45819i | −0.330929 | + | 0.100386i | −0.451377 | − | 0.892334i | \(-0.649067\pi\) |
0.120448 | + | 0.992720i | \(0.461567\pi\) | |||||||
\(212\) | 13.2006 | − | 9.09191i | 0.906621 | − | 0.624435i | ||||
\(213\) | −3.53037 | − | 35.8444i | −0.241897 | − | 2.45602i | ||||
\(214\) | −8.02411 | + | 7.37624i | −0.548517 | + | 0.504229i | ||||
\(215\) | −0.905209 | − | 1.35474i | −0.0617347 | − | 0.0923926i | ||||
\(216\) | −52.6819 | + | 3.70531i | −3.58455 | + | 0.252115i | ||||
\(217\) | 0.736532 | + | 0.492135i | 0.0499990 | + | 0.0334083i | ||||
\(218\) | 0.240596 | + | 0.175825i | 0.0162952 | + | 0.0119084i | ||||
\(219\) | 5.43281 | + | 1.64802i | 0.367115 | + | 0.111363i | ||||
\(220\) | −6.19567 | − | 3.20027i | −0.417712 | − | 0.215762i | ||||
\(221\) | 18.7579 | + | 22.8566i | 1.26180 | + | 1.53750i | ||||
\(222\) | 11.2785 | + | 43.7177i | 0.756966 | + | 2.93414i | ||||
\(223\) | −10.1941 | − | 10.1941i | −0.682648 | − | 0.682648i | 0.277948 | − | 0.960596i | \(-0.410346\pi\) |
−0.960596 | + | 0.277948i | \(0.910346\pi\) | |||||||
\(224\) | 1.56686 | + | 5.43553i | 0.104690 | + | 0.363176i | ||||
\(225\) | −37.6572 | + | 37.6572i | −2.51048 | + | 2.51048i | ||||
\(226\) | −14.8740 | − | 8.77334i | −0.989405 | − | 0.583594i | ||||
\(227\) | −16.5891 | + | 13.6143i | −1.10106 | + | 0.903613i | −0.995866 | − | 0.0908390i | \(-0.971045\pi\) |
−0.105190 | + | 0.994452i | \(0.533545\pi\) | |||||||
\(228\) | 3.28851 | − | 39.0159i | 0.217787 | − | 2.58389i | ||||
\(229\) | 1.46460 | − | 4.82814i | 0.0967834 | − | 0.319052i | −0.895158 | − | 0.445749i | \(-0.852937\pi\) |
0.991942 | + | 0.126697i | \(0.0404375\pi\) | |||||||
\(230\) | −2.20946 | − | 14.2049i | −0.145688 | − | 0.936644i | ||||
\(231\) | −1.95790 | + | 2.93020i | −0.128820 | + | 0.192793i | ||||
\(232\) | −9.93190 | − | 5.67121i | −0.652061 | − | 0.372333i | ||||
\(233\) | −18.2675 | + | 12.2060i | −1.19674 | + | 0.799639i | −0.984122 | − | 0.177495i | \(-0.943201\pi\) |
−0.212623 | + | 0.977134i | \(0.568201\pi\) | |||||||
\(234\) | 2.59198 | − | 61.6131i | 0.169443 | − | 4.02778i | ||||
\(235\) | 21.1326 | − | 2.08138i | 1.37854 | − | 0.135774i | ||||
\(236\) | 17.0874 | − | 3.64984i | 1.11229 | − | 0.237584i | ||||
\(237\) | 2.62363 | + | 8.64896i | 0.170423 | + | 0.561810i | ||||
\(238\) | 7.34802 | − | 3.53890i | 0.476301 | − | 0.229393i | ||||
\(239\) | −1.66950 | + | 4.03053i | −0.107991 | + | 0.260713i | −0.968632 | − | 0.248498i | \(-0.920063\pi\) |
0.860641 | + | 0.509212i | \(0.170063\pi\) | |||||||
\(240\) | 7.62108 | − | 44.8883i | 0.491939 | − | 2.89753i | ||||
\(241\) | −5.51407 | − | 13.3121i | −0.355192 | − | 0.857510i | −0.995962 | − | 0.0897770i | \(-0.971385\pi\) |
0.640770 | − | 0.767733i | \(-0.278615\pi\) | |||||||
\(242\) | −10.4614 | − | 9.34833i | −0.672486 | − | 0.600933i | ||||
\(243\) | 34.0629 | − | 63.7271i | 2.18513 | − | 4.08810i | ||||
\(244\) | 5.10681 | − | 12.8375i | 0.326930 | − | 0.821837i | ||||
\(245\) | 2.12893 | − | 2.59411i | 0.136012 | − | 0.165731i | ||||
\(246\) | 13.0460 | − | 28.0937i | 0.831780 | − | 1.79119i | ||||
\(247\) | 29.0239 | + | 5.77322i | 1.84675 | + | 0.367341i | ||||
\(248\) | 2.28705 | + | 1.02313i | 0.145228 | + | 0.0649690i | ||||
\(249\) | −0.799104 | − | 4.01737i | −0.0506412 | − | 0.254590i | ||||
\(250\) | −3.11457 | − | 5.11431i | −0.196983 | − | 0.323458i | ||||
\(251\) | −19.3725 | + | 10.3548i | −1.22278 | + | 0.653590i | −0.951126 | − | 0.308804i | \(-0.900071\pi\) |
−0.271656 | + | 0.962395i | \(0.587571\pi\) | |||||||
\(252\) | −16.3453 | − | 4.70789i | −1.02965 | − | 0.296569i | ||||
\(253\) | −0.308478 | + | 3.13203i | −0.0193939 | + | 0.196909i | ||||
\(254\) | 15.8602 | − | 11.9368i | 0.995158 | − | 0.748982i | ||||
\(255\) | −65.6441 | −4.11079 | ||||||||
\(256\) | 6.94572 | + | 14.4138i | 0.434108 | + | 0.900861i | ||||
\(257\) | 17.3772 | 1.08396 | 0.541979 | − | 0.840392i | \(-0.317675\pi\) | ||||
0.541979 | + | 0.840392i | \(0.317675\pi\) | |||||||
\(258\) | −1.86082 | + | 1.40050i | −0.115850 | + | 0.0871916i | ||||
\(259\) | −0.922561 | + | 9.36692i | −0.0573252 | + | 0.582032i | ||||
\(260\) | 33.0675 | + | 9.52434i | 2.05076 | + | 0.590675i | ||||
\(261\) | 30.3295 | − | 16.2115i | 1.87735 | − | 1.00346i | ||||
\(262\) | −9.74041 | − | 15.9943i | −0.601764 | − | 0.988132i | ||||
\(263\) | 0.641090 | + | 3.22298i | 0.0395313 | + | 0.198737i | 0.995504 | − | 0.0947178i | \(-0.0301949\pi\) |
−0.955973 | + | 0.293455i | \(0.905195\pi\) | |||||||
\(264\) | −4.07042 | + | 9.09876i | −0.250517 | + | 0.559990i | ||||
\(265\) | −26.3782 | − | 5.24694i | −1.62040 | − | 0.322317i | ||||
\(266\) | 3.43786 | − | 7.40321i | 0.210789 | − | 0.453920i | ||||
\(267\) | −19.9661 | + | 24.3288i | −1.22191 | + | 1.48890i | ||||
\(268\) | −0.214741 | + | 0.539815i | −0.0131174 | + | 0.0329745i | ||||
\(269\) | 5.63789 | − | 10.5478i | 0.343748 | − | 0.643108i | −0.649337 | − | 0.760501i | \(-0.724954\pi\) |
0.993086 | + | 0.117393i | \(0.0374536\pi\) | |||||||
\(270\) | 66.0767 | + | 59.0461i | 4.02130 | + | 3.59343i | ||||
\(271\) | 7.90213 | + | 19.0774i | 0.480020 | + | 1.15887i | 0.959599 | + | 0.281372i | \(0.0907894\pi\) |
−0.479579 | + | 0.877499i | \(0.659211\pi\) | |||||||
\(272\) | 18.8118 | − | 13.3512i | 1.14063 | − | 0.809535i | ||||
\(273\) | 6.65511 | − | 16.0668i | 0.402785 | − | 0.972410i | ||||
\(274\) | −0.0684458 | + | 0.0329644i | −0.00413496 | + | 0.00199145i | ||||
\(275\) | 1.88855 | + | 6.22573i | 0.113884 | + | 0.375425i | ||||
\(276\) | −20.0953 | + | 4.29234i | −1.20960 | + | 0.258369i | ||||
\(277\) | 15.4065 | − | 1.51741i | 0.925685 | − | 0.0911720i | 0.376071 | − | 0.926591i | \(-0.377275\pi\) |
0.549614 | + | 0.835419i | \(0.314775\pi\) | |||||||
\(278\) | 0.522848 | − | 12.4285i | 0.0313584 | − | 0.745410i | ||||
\(279\) | −6.26411 | + | 4.18554i | −0.375022 | + | 0.250582i | ||||
\(280\) | 4.70664 | − | 8.24266i | 0.281276 | − | 0.492593i | ||||
\(281\) | 3.00431 | − | 4.49627i | 0.179222 | − | 0.268225i | −0.730971 | − | 0.682408i | \(-0.760933\pi\) |
0.910194 | + | 0.414183i | \(0.135933\pi\) | |||||||
\(282\) | −4.66509 | − | 29.9925i | −0.277802 | − | 1.78602i | ||||
\(283\) | −2.24402 | + | 7.39755i | −0.133393 | + | 0.439738i | −0.998036 | − | 0.0626493i | \(-0.980045\pi\) |
0.864642 | + | 0.502388i | \(0.167545\pi\) | |||||||
\(284\) | 1.78372 | − | 21.1626i | 0.105844 | − | 1.25577i | ||||
\(285\) | −50.7852 | + | 41.6783i | −3.00825 | + | 2.46881i | ||||
\(286\) | −6.48886 | − | 3.82741i | −0.383695 | − | 0.226320i | ||||
\(287\) | 4.56605 | − | 4.56605i | 0.269525 | − | 0.269525i | ||||
\(288\) | −47.8092 | − | 5.37928i | −2.81718 | − | 0.316977i | ||||
\(289\) | −11.4966 | − | 11.4966i | −0.676269 | − | 0.676269i | ||||
\(290\) | 4.79390 | + | 18.5820i | 0.281508 | + | 1.09117i | ||||
\(291\) | 6.19355 | + | 7.54686i | 0.363072 | + | 0.442405i | ||||
\(292\) | 2.97422 | + | 1.53629i | 0.174053 | + | 0.0899043i | ||||
\(293\) | 7.62289 | + | 2.31238i | 0.445334 | + | 0.135091i | 0.504984 | − | 0.863129i | \(-0.331498\pi\) |
−0.0596501 | + | 0.998219i | \(0.518998\pi\) | |||||||
\(294\) | −3.87290 | − | 2.83027i | −0.225872 | − | 0.165065i | ||||
\(295\) | −24.3771 | − | 16.2883i | −1.41929 | − | 0.948339i | ||||
\(296\) | 1.86780 | + | 26.5562i | 0.108564 | + | 1.54355i | ||||
\(297\) | −10.7780 | − | 16.1304i | −0.625402 | − | 0.935981i | ||||
\(298\) | −1.21971 | + | 1.12123i | −0.0706558 | + | 0.0649510i | ||||
\(299\) | −1.52226 | − | 15.4557i | −0.0880345 | − | 0.893829i | ||||
\(300\) | −34.9833 | + | 24.0948i | −2.01976 | + | 1.39111i | ||||
\(301\) | −0.464614 | + | 0.140939i | −0.0267799 | + | 0.00812359i | ||||
\(302\) | 6.06249 | − | 17.3273i | 0.348857 | − | 0.997075i | ||||
\(303\) | −2.05854 | − | 0.852675i | −0.118260 | − | 0.0489849i | ||||
\(304\) | 6.07678 | − | 22.2729i | 0.348527 | − | 1.27744i | ||||
\(305\) | −21.4175 | + | 8.87143i | −1.22636 | + | 0.507977i | ||||
\(306\) | 3.89143 | + | 69.2549i | 0.222458 | + | 3.95904i | ||||
\(307\) | −28.3319 | − | 15.1437i | −1.61698 | − | 0.864296i | −0.996808 | − | 0.0798336i | \(-0.974561\pi\) |
−0.620176 | − | 0.784463i | \(-0.712939\pi\) | |||||||
\(308\) | −1.44851 | + | 1.48990i | −0.0825363 | + | 0.0848951i | ||||
\(309\) | 44.2428 | + | 36.3091i | 2.51688 | + | 2.06555i | ||||
\(310\) | −1.44413 | − | 3.94818i | −0.0820210 | − | 0.224241i | ||||
\(311\) | 4.51658 | − | 22.7064i | 0.256112 | − | 1.28756i | −0.611867 | − | 0.790961i | \(-0.709581\pi\) |
0.867979 | − | 0.496601i | \(-0.165419\pi\) | |||||||
\(312\) | 10.9409 | − | 47.9559i | 0.619408 | − | 2.71497i | ||||
\(313\) | −19.1195 | + | 3.80310i | −1.08070 | + | 0.214964i | −0.703161 | − | 0.711031i | \(-0.748229\pi\) |
−0.377536 | + | 0.925995i | \(0.623229\pi\) | |||||||
\(314\) | −1.88618 | + | 7.76159i | −0.106443 | + | 0.438012i | ||||
\(315\) | 13.4542 | + | 25.1710i | 0.758057 | + | 1.41822i | ||||
\(316\) | 0.597018 | + | 5.29573i | 0.0335849 | + | 0.297908i | ||||
\(317\) | 4.80294 | + | 0.473048i | 0.269760 | + | 0.0265690i | 0.231993 | − | 0.972718i | \(-0.425475\pi\) |
0.0377672 | + | 0.999287i | \(0.487975\pi\) | |||||||
\(318\) | −5.37286 | + | 38.0663i | −0.301295 | + | 2.13465i | ||||
\(319\) | − | 4.20125i | − | 0.235225i | ||||||
\(320\) | 9.21675 | − | 25.2151i | 0.515232 | − | 1.40957i | ||||
\(321\) | − | 26.1412i | − | 1.45906i | ||||||
\(322\) | −4.24173 | − | 0.598699i | −0.236383 | − | 0.0333642i | ||||
\(323\) | −33.1256 | − | 3.26259i | −1.84316 | − | 0.181535i | ||||
\(324\) | 47.1549 | − | 59.1379i | 2.61972 | − | 3.28544i | ||||
\(325\) | −15.1341 | − | 28.3138i | −0.839487 | − | 1.57057i | ||||
\(326\) | −12.7751 | − | 3.10455i | −0.707550 | − | 0.171945i | ||||
\(327\) | −0.700984 | + | 0.139434i | −0.0387645 | + | 0.00771074i | ||||
\(328\) | 10.5676 | − | 14.8965i | 0.583497 | − | 0.822524i | ||||
\(329\) | 1.23448 | − | 6.20613i | 0.0680589 | − | 0.342155i | ||||
\(330\) | 15.7074 | − | 5.74530i | 0.864661 | − | 0.316268i | ||||
\(331\) | 2.63760 | + | 2.16463i | 0.144976 | + | 0.118979i | 0.704086 | − | 0.710115i | \(-0.251357\pi\) |
−0.559110 | + | 0.829094i | \(0.688857\pi\) | |||||||
\(332\) | −0.0340223 | − | 2.41498i | −0.00186722 | − | 0.132539i | ||||
\(333\) | −70.5977 | − | 37.7353i | −3.86873 | − | 2.06788i | ||||
\(334\) | −3.92537 | + | 0.220566i | −0.214787 | + | 0.0120689i | ||||
\(335\) | 0.900604 | − | 0.373042i | 0.0492052 | − | 0.0203815i | ||||
\(336\) | −12.1409 | − | 6.05608i | −0.662341 | − | 0.330386i | ||||
\(337\) | −0.325594 | − | 0.134865i | −0.0177362 | − | 0.00734658i | 0.373798 | − | 0.927510i | \(-0.378055\pi\) |
−0.391534 | + | 0.920164i | \(0.628055\pi\) | |||||||
\(338\) | 17.7370 | + | 6.20583i | 0.964766 | + | 0.337552i | ||||
\(339\) | 39.6342 | − | 12.0229i | 2.15264 | − | 0.652995i | ||||
\(340\) | −38.0654 | − | 7.01576i | −2.06439 | − | 0.380483i | ||||
\(341\) | 0.0902106 | + | 0.915923i | 0.00488518 | + | 0.0496000i | ||||
\(342\) | 46.9814 | + | 51.1079i | 2.54047 | + | 2.76360i | ||||
\(343\) | −0.555570 | − | 0.831470i | −0.0299980 | − | 0.0448951i | ||||
\(344\) | −1.22873 | + | 0.613242i | −0.0662486 | + | 0.0330638i | ||||
\(345\) | 28.6683 | + | 19.1555i | 1.54345 | + | 1.03130i | ||||
\(346\) | 18.5326 | − | 25.3597i | 0.996319 | − | 1.36335i | ||||
\(347\) | −33.6791 | − | 10.2164i | −1.80799 | − | 0.548447i | −0.808773 | − | 0.588120i | \(-0.799868\pi\) |
−0.999213 | + | 0.0396737i | \(0.987368\pi\) | |||||||
\(348\) | 26.1349 | − | 8.33172i | 1.40098 | − | 0.446627i | ||||
\(349\) | 18.5210 | + | 22.5679i | 0.991407 | + | 1.20803i | 0.978103 | + | 0.208121i | \(0.0667348\pi\) |
0.0133037 | + | 0.999912i | \(0.495765\pi\) | |||||||
\(350\) | −8.57467 | + | 2.21214i | −0.458336 | + | 0.118244i | ||||
\(351\) | 67.6936 | + | 67.6936i | 3.61322 | + | 3.61322i | ||||
\(352\) | −3.33277 | + | 4.84113i | −0.177637 | + | 0.258033i | ||||
\(353\) | 16.0840 | − | 16.0840i | 0.856063 | − | 0.856063i | −0.134809 | − | 0.990872i | \(-0.543042\pi\) |
0.990872 | + | 0.134809i | \(0.0430419\pi\) | |||||||
\(354\) | −21.2909 | + | 36.0959i | −1.13160 | + | 1.91847i | ||||
\(355\) | −27.5464 | + | 22.6067i | −1.46201 | + | 1.19984i | ||||
\(356\) | −14.1780 | + | 11.9738i | −0.751435 | + | 0.634610i | ||||
\(357\) | −5.67828 | + | 18.7188i | −0.300527 | + | 0.990704i | ||||
\(358\) | −19.1111 | + | 2.97258i | −1.01005 | + | 0.157106i | ||||
\(359\) | −13.1940 | + | 19.7461i | −0.696350 | + | 1.04216i | 0.299757 | + | 0.954015i | \(0.403094\pi\) |
−0.996108 | + | 0.0881462i | \(0.971906\pi\) | |||||||
\(360\) | 49.4479 | + | 63.8095i | 2.60613 | + | 3.36306i | ||||
\(361\) | −11.9010 | + | 7.95198i | −0.626367 | + | 0.418525i | ||||
\(362\) | 1.41678 | + | 0.0596021i | 0.0744644 | + | 0.00313262i | ||||
\(363\) | 33.4872 | − | 3.29820i | 1.75762 | − | 0.173110i | ||||
\(364\) | 5.57629 | − | 8.60551i | 0.292277 | − | 0.451051i | ||||
\(365\) | −1.63052 | − | 5.37509i | −0.0853452 | − | 0.281345i | ||||
\(366\) | 14.3783 | + | 29.8545i | 0.751568 | + | 1.56052i | ||||
\(367\) | 4.91471 | − | 11.8652i | 0.256546 | − | 0.619356i | −0.742160 | − | 0.670223i | \(-0.766198\pi\) |
0.998705 | + | 0.0508667i | \(0.0161984\pi\) | |||||||
\(368\) | −12.1115 | + | 0.341323i | −0.631358 | + | 0.0177927i | ||||
\(369\) | 21.0166 | + | 50.7386i | 1.09408 | + | 2.64135i | ||||
\(370\) | 29.7643 | − | 33.3084i | 1.54737 | − | 1.73162i | ||||
\(371\) | −3.77793 | + | 7.06802i | −0.196141 | + | 0.366953i | ||||
\(372\) | −5.51882 | + | 2.37759i | −0.286138 | + | 0.123273i | ||||
\(373\) | −12.7765 | + | 15.5682i | −0.661543 | + | 0.806092i | −0.990392 | − | 0.138290i | \(-0.955839\pi\) |
0.328849 | + | 0.944383i | \(0.393339\pi\) | |||||||
\(374\) | 7.68554 | + | 3.56897i | 0.397410 | + | 0.184547i | ||||
\(375\) | 14.0859 | + | 2.80187i | 0.727394 | + | 0.144688i | ||||
\(376\) | 0.500290 | − | 17.8905i | 0.0258005 | − | 0.922632i | ||||
\(377\) | 4.04462 | + | 20.3337i | 0.208308 | + | 1.04724i | ||||
\(378\) | 22.5530 | − | 13.7346i | 1.16000 | − | 0.706432i | ||||
\(379\) | 25.4097 | − | 13.5818i | 1.30521 | − | 0.697648i | 0.335528 | − | 0.942030i | \(-0.391085\pi\) |
0.969679 | + | 0.244382i | \(0.0785852\pi\) | |||||||
\(380\) | −33.9035 | + | 18.7406i | −1.73921 | + | 0.961371i | ||||
\(381\) | −4.66654 | + | 47.3801i | −0.239074 | + | 2.42736i | ||||
\(382\) | 2.37870 | + | 3.16054i | 0.121705 | + | 0.161707i | ||||
\(383\) | 9.21189 | 0.470706 | 0.235353 | − | 0.971910i | \(-0.424375\pi\) | ||||
0.235353 | + | 0.971910i | \(0.424375\pi\) | |||||||
\(384\) | −36.7248 | − | 11.1316i | −1.87410 | − | 0.568058i | ||||
\(385\) | 3.48669 | 0.177698 | ||||||||
\(386\) | −19.6518 | − | 26.1109i | −1.00025 | − | 1.32901i | ||||
\(387\) | 0.404741 | − | 4.10940i | 0.0205741 | − | 0.208893i | ||||
\(388\) | 2.78491 | + | 5.03818i | 0.141383 | + | 0.255775i | ||||
\(389\) | 28.3308 | − | 15.1431i | 1.43643 | − | 0.767786i | 0.444643 | − | 0.895708i | \(-0.353331\pi\) |
0.991784 | + | 0.127922i | \(0.0408306\pi\) | |||||||
\(390\) | −70.4912 | + | 42.9285i | −3.56946 | + | 2.17377i | ||||
\(391\) | 3.40800 | + | 17.1332i | 0.172350 | + | 0.866462i | ||||
\(392\) | −1.94331 | − | 2.05512i | −0.0981521 | − | 0.103799i | ||||
\(393\) | 44.0518 | + | 8.76245i | 2.22212 | + | 0.442007i | ||||
\(394\) | −9.17380 | − | 4.26007i | −0.462169 | − | 0.214619i | ||||
\(395\) | 5.67282 | − | 6.91236i | 0.285431 | − | 0.347798i | ||||
\(396\) | −6.99247 | − | 16.2308i | −0.351385 | − | 0.815626i | ||||
\(397\) | 0.686436 | − | 1.28423i | 0.0344512 | − | 0.0644537i | −0.864107 | − | 0.503309i | \(-0.832116\pi\) |
0.898558 | + | 0.438855i | \(0.144616\pi\) | |||||||
\(398\) | −10.6966 | + | 11.9702i | −0.536171 | + | 0.600013i | ||||
\(399\) | 7.49184 | + | 18.0869i | 0.375061 | + | 0.905478i | ||||
\(400\) | −22.8612 | + | 10.2331i | −1.14306 | + | 0.511656i | ||||
\(401\) | 9.33867 | − | 22.5455i | 0.466351 | − | 1.12587i | −0.499394 | − | 0.866375i | \(-0.666444\pi\) |
0.965744 | − | 0.259495i | \(-0.0835562\pi\) | |||||||
\(402\) | −0.604607 | − | 1.25538i | −0.0301551 | − | 0.0626126i | ||||
\(403\) | −1.31839 | − | 4.34614i | −0.0656736 | − | 0.216497i | ||||
\(404\) | −1.10257 | − | 0.714454i | −0.0548548 | − | 0.0355454i | ||||
\(405\) | −126.301 | + | 12.4396i | −6.27596 | + | 0.618128i | ||||
\(406\) | 5.71345 | + | 0.240357i | 0.283554 | + | 0.0119287i | ||||
\(407\) | −8.13111 | + | 5.43304i | −0.403044 | + | 0.269306i | ||||
\(408\) | −6.96000 | + | 54.8876i | −0.344571 | + | 2.71734i | ||||
\(409\) | −5.66598 | + | 8.47974i | −0.280165 | + | 0.419296i | −0.944687 | − | 0.327972i | \(-0.893635\pi\) |
0.664523 | + | 0.747268i | \(0.268635\pi\) | |||||||
\(410\) | −30.2818 | + | 4.71010i | −1.49551 | + | 0.232615i | ||||
\(411\) | 0.0528924 | − | 0.174363i | 0.00260899 | − | 0.00860069i | ||||
\(412\) | 21.7748 | + | 25.7833i | 1.07277 | + | 1.27025i | ||||
\(413\) | −6.75333 | + | 5.54232i | −0.332310 | + | 0.272720i | ||||
\(414\) | 18.5097 | − | 31.3808i | 0.909704 | − | 1.54228i | ||||
\(415\) | −2.86559 | + | 2.86559i | −0.140666 | + | 0.140666i | ||||
\(416\) | 11.4697 | − | 26.6392i | 0.562348 | − | 1.30609i | ||||
\(417\) | 21.0966 | + | 21.0966i | 1.03310 | + | 1.03310i | ||||
\(418\) | 8.21186 | − | 2.11854i | 0.401655 | − | 0.103621i | ||||
\(419\) | 3.40038 | + | 4.14337i | 0.166119 | + | 0.202417i | 0.849416 | − | 0.527724i | \(-0.176954\pi\) |
−0.683297 | + | 0.730141i | \(0.739454\pi\) | |||||||
\(420\) | 6.91464 | + | 21.6898i | 0.337400 | + | 1.05835i | ||||
\(421\) | 20.5289 | + | 6.22737i | 1.00052 | + | 0.303503i | 0.747719 | − | 0.664016i | \(-0.231149\pi\) |
0.252798 | + | 0.967519i | \(0.418649\pi\) | |||||||
\(422\) | 4.19158 | − | 5.73569i | 0.204043 | − | 0.279209i | ||||
\(423\) | 44.7467 | + | 29.8988i | 2.17566 | + | 1.45373i | ||||
\(424\) | −7.18395 | + | 21.4995i | −0.348884 | + | 1.04411i | ||||
\(425\) | 20.0625 | + | 30.0257i | 0.973176 | + | 1.45646i | ||||
\(426\) | 34.4721 | + | 37.4999i | 1.67018 | + | 1.81688i | ||||
\(427\) | 0.677101 | + | 6.87472i | 0.0327672 | + | 0.332691i | ||||
\(428\) | 2.79386 | − | 15.1587i | 0.135046 | − | 0.732722i | ||||
\(429\) | 17.2906 | − | 5.24505i | 0.834799 | − | 0.253234i | ||||
\(430\) | 2.17494 | + | 0.760970i | 0.104885 | + | 0.0366972i | ||||
\(431\) | 24.1032 | + | 9.98388i | 1.16101 | + | 0.480907i | 0.878211 | − | 0.478272i | \(-0.158737\pi\) |
0.282800 | + | 0.959179i | \(0.408737\pi\) | |||||||
\(432\) | 56.3766 | − | 48.9889i | 2.71242 | − | 2.35698i | ||||
\(433\) | −22.8512 | + | 9.46529i | −1.09816 | + | 0.454873i | −0.856845 | − | 0.515574i | \(-0.827579\pi\) |
−0.241315 | + | 0.970447i | \(0.577579\pi\) | |||||||
\(434\) | −1.25076 | + | 0.0702804i | −0.0600386 | + | 0.00337357i | ||||
\(435\) | −40.5920 | − | 21.6969i | −1.94624 | − | 1.04029i | ||||
\(436\) | −0.421386 | + | 0.00593650i | −0.0201807 | + | 0.000284307i | ||||
\(437\) | 13.5147 | + | 11.0912i | 0.646494 | + | 0.530564i | ||||
\(438\) | −7.54030 | + | 2.75802i | −0.360289 | + | 0.131783i | ||||
\(439\) | 6.46177 | − | 32.4855i | 0.308403 | − | 1.55045i | −0.446604 | − | 0.894732i | \(-0.647367\pi\) |
0.755007 | − | 0.655717i | \(-0.227633\pi\) | |||||||
\(440\) | 9.72235 | − | 1.65283i | 0.463495 | − | 0.0787954i | ||||
\(441\) | 8.34145 | − | 1.65922i | 0.397212 | − | 0.0790104i | ||||
\(442\) | −40.6333 | − | 9.87448i | −1.93273 | − | 0.469681i | ||||
\(443\) | 9.89662 | + | 18.5153i | 0.470203 | + | 0.879687i | 0.999511 | + | 0.0312581i | \(0.00995138\pi\) |
−0.529309 | + | 0.848429i | \(0.677549\pi\) | |||||||
\(444\) | −49.9228 | − | 39.8070i | −2.36923 | − | 1.88916i | ||||
\(445\) | 30.9885 | + | 3.05210i | 1.46900 | + | 0.144684i | ||||
\(446\) | 20.1881 | + | 2.84945i | 0.955935 | + | 0.134925i | ||||
\(447\) | − | 3.97360i | − | 0.187945i | ||||||
\(448\) | −6.39298 | − | 4.80935i | −0.302040 | − | 0.227220i | ||||
\(449\) | − | 15.6088i | − | 0.736624i | −0.929702 | − | 0.368312i | \(-0.879936\pi\) | ||
0.929702 | − | 0.368312i | \(-0.120064\pi\) | |||||||
\(450\) | 10.5259 | − | 74.5751i | 0.496196 | − | 3.51551i | ||||
\(451\) | 6.67682 | + | 0.657609i | 0.314399 | + | 0.0309656i | ||||
\(452\) | 24.2679 | − | 2.73586i | 1.14147 | − | 0.128684i | ||||
\(453\) | 20.7549 | + | 38.8297i | 0.975151 | + | 1.82438i | ||||
\(454\) | 7.16679 | − | 29.4912i | 0.336354 | − | 1.38409i | ||||
\(455\) | −16.8753 | + | 3.35670i | −0.791125 | + | 0.157365i | ||||
\(456\) | 29.4643 | + | 46.8825i | 1.37979 | + | 2.19547i | ||||
\(457\) | 7.88992 | − | 39.6653i | 0.369075 | − | 1.85546i | −0.133665 | − | 0.991027i | \(-0.542675\pi\) |
0.502740 | − | 0.864438i | \(-0.332325\pi\) | |||||||
\(458\) | 2.45106 | + | 6.70106i | 0.114530 | + | 0.313120i | ||||
\(459\) | −83.2388 | − | 68.3123i | −3.88525 | − | 3.18855i | ||||
\(460\) | 14.5768 | + | 14.1718i | 0.679647 | + | 0.660763i | ||||
\(461\) | 3.11575 | + | 1.66540i | 0.145115 | + | 0.0775656i | 0.542356 | − | 0.840149i | \(-0.317532\pi\) |
−0.397241 | + | 0.917714i | \(0.630032\pi\) | |||||||
\(462\) | −0.279602 | − | 4.97602i | −0.0130083 | − | 0.231505i | ||||
\(463\) | 7.65452 | − | 3.17061i | 0.355736 | − | 0.147351i | −0.197657 | − | 0.980271i | \(-0.563333\pi\) |
0.553392 | + | 0.832921i | \(0.313333\pi\) | |||||||
\(464\) | 16.0454 | − | 2.03818i | 0.744891 | − | 0.0946202i | ||||
\(465\) | 9.31545 | + | 3.85859i | 0.431994 | + | 0.178938i | ||||
\(466\) | 10.2610 | − | 29.3272i | 0.475333 | − | 1.35856i | ||||
\(467\) | −29.0034 | + | 8.79809i | −1.34212 | + | 0.407127i | −0.878006 | − | 0.478650i | \(-0.841126\pi\) |
−0.464112 | + | 0.885777i | \(0.653626\pi\) | |||||||
\(468\) | 49.4686 | + | 71.8237i | 2.28669 | + | 3.32005i | ||||
\(469\) | −0.0284720 | − | 0.289081i | −0.00131471 | − | 0.0133485i | ||||
\(470\) | −22.1086 | + | 20.3236i | −1.01980 | + | 0.937457i | ||||
\(471\) | −10.6433 | − | 15.9288i | −0.490416 | − | 0.733960i | ||||
\(472\) | −16.2039 | + | 18.6557i | −0.745843 | + | 0.858696i | ||||
\(473\) | −0.419434 | − | 0.280257i | −0.0192856 | − | 0.0128862i | ||||
\(474\) | −10.3199 | − | 7.54164i | −0.474007 | − | 0.346399i | ||||
\(475\) | 34.5850 | + | 10.4912i | 1.58687 | + | 0.481371i | ||||
\(476\) | −5.29329 | + | 10.2477i | −0.242617 | + | 0.469703i | ||||
\(477\) | −43.2409 | − | 52.6891i | −1.97986 | − | 2.41247i | ||||
\(478\) | −1.54122 | − | 5.97406i | −0.0704939 | − | 0.273247i | ||||
\(479\) | −20.7665 | − | 20.7665i | −0.948844 | − | 0.948844i | 0.0499100 | − | 0.998754i | \(-0.484107\pi\) |
−0.998754 | + | 0.0499100i | \(0.984107\pi\) | |||||||
\(480\) | 29.5627 | + | 57.2024i | 1.34935 | + | 2.61092i | ||||
\(481\) | 34.1234 | − | 34.1234i | 1.55589 | − | 1.55589i | ||||
\(482\) | 17.5516 | + | 10.3527i | 0.799453 | + | 0.471552i | ||||
\(483\) | 7.94215 | − | 6.51796i | 0.361380 | − | 0.296577i | ||||
\(484\) | 19.7709 | + | 1.66642i | 0.898677 | + | 0.0757463i | ||||
\(485\) | 2.80393 | − | 9.24331i | 0.127320 | − | 0.419717i | ||||
\(486\) | 15.7060 | + | 100.976i | 0.712441 | + | 4.58037i | ||||
\(487\) | −22.7543 | + | 34.0542i | −1.03109 | + | 1.54314i | −0.205676 | + | 0.978620i | \(0.565939\pi\) |
−0.825418 | + | 0.564522i | \(0.809061\pi\) | |||||||
\(488\) | 5.14693 | + | 18.8486i | 0.232990 | + | 0.853238i | ||||
\(489\) | 26.2179 | − | 17.5182i | 1.18561 | − | 0.792202i | ||||
\(490\) | −0.199477 | + | 4.74170i | −0.00901144 | + | 0.214208i | ||||
\(491\) | −10.8348 | + | 1.06714i | −0.488968 | + | 0.0481592i | −0.339497 | − | 0.940607i | \(-0.610257\pi\) |
−0.149471 | + | 0.988766i | \(0.547757\pi\) | |||||||
\(492\) | 9.15035 | + | 42.8389i | 0.412529 | + | 1.93133i | ||||
\(493\) | −6.76930 | − | 22.3154i | −0.304874 | − | 1.00503i | ||||
\(494\) | −37.7052 | + | 18.1593i | −1.69644 | + | 0.817025i | ||||
\(495\) | −11.3480 | + | 27.3966i | −0.510056 | + | 1.23138i | ||||
\(496\) | −3.45434 | + | 0.788882i | −0.155104 | + | 0.0354219i | ||||
\(497\) | 4.06365 | + | 9.81052i | 0.182280 | + | 0.440062i | ||||
\(498\) | 4.31942 | + | 3.85983i | 0.193558 | + | 0.172963i | ||||
\(499\) | −3.03904 | + | 5.68564i | −0.136046 | + | 0.254524i | −0.940714 | − | 0.339201i | \(-0.889843\pi\) |
0.804668 | + | 0.593725i | \(0.202343\pi\) | |||||||
\(500\) | 7.86864 | + | 3.13018i | 0.351896 | + | 0.139986i | ||||
\(501\) | 5.98205 | − | 7.28914i | 0.267258 | − | 0.325655i | ||||
\(502\) | 13.0839 | − | 28.1752i | 0.583961 | − | 1.25752i | ||||
\(503\) | −8.11183 | − | 1.61354i | −0.361688 | − | 0.0719443i | 0.0109010 | − | 0.999941i | \(-0.496530\pi\) |
−0.372589 | + | 0.927996i | \(0.621530\pi\) | |||||||
\(504\) | 22.4729 | − | 8.58077i | 1.00102 | − | 0.382218i | ||||
\(505\) | 0.430072 | + | 2.16212i | 0.0191380 | + | 0.0962130i | ||||
\(506\) | −2.31500 | − | 3.80136i | −0.102914 | − | 0.168991i | ||||
\(507\) | −39.7478 | + | 21.2456i | −1.76526 | + | 0.943551i | ||||
\(508\) | −7.76980 | + | 26.9759i | −0.344729 | + | 1.19686i | ||||
\(509\) | 3.95323 | − | 40.1378i | 0.175224 | − | 1.77908i | −0.358610 | − | 0.933487i | \(-0.616749\pi\) |
0.533834 | − | 0.845589i | \(-0.320751\pi\) | |||||||
\(510\) | 74.1742 | − | 55.8254i | 3.28449 | − | 2.47199i | ||||
\(511\) | −1.67378 | −0.0740437 | ||||||||
\(512\) | −20.1061 | − | 10.3800i | −0.888574 | − | 0.458733i | ||||
\(513\) | −107.770 | −4.75815 | ||||||||
\(514\) | −19.6353 | + | 14.7780i | −0.866074 | + | 0.651830i | ||||
\(515\) | 5.55035 | − | 56.3537i | 0.244578 | − | 2.48324i | ||||
\(516\) | 0.911604 | − | 3.16499i | 0.0401311 | − | 0.139331i | ||||
\(517\) | 5.79812 | − | 3.09916i | 0.255001 | − | 0.136301i | ||||
\(518\) | −6.92343 | − | 11.3687i | −0.304198 | − | 0.499511i | ||||
\(519\) | 14.6969 | + | 73.8864i | 0.645123 | + | 3.24325i | ||||
\(520\) | −45.4642 | + | 17.3594i | −1.99374 | + | 0.761262i | ||||
\(521\) | 4.71687 | + | 0.938244i | 0.206650 | + | 0.0411052i | 0.297330 | − | 0.954775i | \(-0.403904\pi\) |
−0.0906798 | + | 0.995880i | \(0.528904\pi\) | |||||||
\(522\) | −20.4840 | + | 44.1110i | −0.896561 | + | 1.93069i | ||||
\(523\) | −18.5849 | + | 22.6457i | −0.812660 | + | 0.990229i | 0.187309 | + | 0.982301i | \(0.440024\pi\) |
−0.999969 | + | 0.00792787i | \(0.997476\pi\) | |||||||
\(524\) | 24.6081 | + | 9.78921i | 1.07501 | + | 0.427643i | ||||
\(525\) | 10.0120 | − | 18.7312i | 0.436961 | − | 0.817496i | ||||
\(526\) | −3.46530 | − | 3.09659i | −0.151094 | − | 0.135018i | ||||
\(527\) | 1.95495 | + | 4.71968i | 0.0851592 | + | 0.205592i | ||||
\(528\) | −3.13848 | − | 13.7427i | −0.136585 | − | 0.598074i | ||||
\(529\) | −5.29045 | + | 12.7723i | −0.230020 | + | 0.555317i | ||||
\(530\) | 34.2680 | − | 16.5039i | 1.48851 | − | 0.716884i | ||||
\(531\) | −21.5687 | − | 71.1026i | −0.936004 | − | 3.08559i | ||||
\(532\) | 2.41129 | + | 11.2889i | 0.104543 | + | 0.489434i | ||||
\(533\) | −32.9483 | + | 3.24513i | −1.42715 | + | 0.140562i | ||||
\(534\) | 1.87079 | − | 44.4700i | 0.0809570 | − | 1.92440i | ||||
\(535\) | −21.5047 | + | 14.3690i | −0.929730 | + | 0.621226i | ||||
\(536\) | −0.216428 | − | 0.792582i | −0.00934825 | − | 0.0342343i | ||||
\(537\) | 25.7716 | − | 38.5699i | 1.11213 | − | 1.66441i | ||||
\(538\) | 2.59958 | + | 16.7130i | 0.112076 | + | 0.720548i | ||||
\(539\) | 0.301602 | − | 0.994250i | 0.0129909 | − | 0.0428254i | ||||
\(540\) | −124.877 | − | 10.5255i | −5.37387 | − | 0.452944i | ||||
\(541\) | 27.0723 | − | 22.2177i | 1.16393 | − | 0.955214i | 0.164417 | − | 0.986391i | \(-0.447426\pi\) |
0.999514 | + | 0.0311772i | \(0.00992562\pi\) | |||||||
\(542\) | −25.1529 | − | 14.8363i | −1.08041 | − | 0.637272i | ||||
\(543\) | −2.40490 | + | 2.40490i | −0.103204 | + | 0.103204i | ||||
\(544\) | −9.90209 | + | 31.0841i | −0.424549 | + | 1.33272i | ||||
\(545\) | 0.500013 | + | 0.500013i | 0.0214182 | + | 0.0214182i | ||||
\(546\) | 6.14376 | + | 23.8143i | 0.262929 | + | 1.01916i | ||||
\(547\) | −6.51288 | − | 7.93596i | −0.278470 | − | 0.339317i | 0.614927 | − | 0.788584i | \(-0.289185\pi\) |
−0.893398 | + | 0.449267i | \(0.851685\pi\) | |||||||
\(548\) | 0.0493062 | − | 0.0954560i | 0.00210626 | − | 0.00407768i | ||||
\(549\) | −56.2217 | − | 17.0547i | −2.39948 | − | 0.727875i | ||||
\(550\) | −7.42848 | − | 5.42865i | −0.316751 | − | 0.231479i | ||||
\(551\) | −19.4054 | − | 12.9663i | −0.826697 | − | 0.552381i | ||||
\(552\) | 19.0563 | − | 21.9397i | 0.811090 | − | 0.933815i | ||||
\(553\) | −1.48039 | − | 2.21556i | −0.0629527 | − | 0.0942154i | ||||
\(554\) | −16.1180 | + | 14.8166i | −0.684789 | + | 0.629499i | ||||
\(555\) | 10.5012 | + | 106.620i | 0.445751 | + | 4.52578i | ||||
\(556\) | 9.97869 | + | 14.4881i | 0.423191 | + | 0.614433i | ||||
\(557\) | 38.8885 | − | 11.7967i | 1.64776 | − | 0.499842i | 0.676214 | − | 0.736705i | \(-0.263619\pi\) |
0.971543 | + | 0.236864i | \(0.0761194\pi\) | |||||||
\(558\) | 3.51860 | − | 10.0566i | 0.148954 | − | 0.425730i | ||||
\(559\) | 2.29984 | + | 0.952623i | 0.0972727 | + | 0.0402917i | ||||
\(560\) | 1.69152 | + | 13.3164i | 0.0714799 | + | 0.562721i | ||||
\(561\) | −18.7767 | + | 7.77756i | −0.792752 | + | 0.328369i | ||||
\(562\) | 0.429037 | + | 7.63548i | 0.0180978 | + | 0.322083i | ||||
\(563\) | 7.59101 | + | 4.05748i | 0.319923 | + | 0.171002i | 0.623539 | − | 0.781792i | \(-0.285694\pi\) |
−0.303616 | + | 0.952794i | \(0.598194\pi\) | |||||||
\(564\) | 30.7777 | + | 29.9225i | 1.29597 | + | 1.25997i | ||||
\(565\) | −31.6762 | − | 25.9960i | −1.33263 | − | 1.09366i | ||||
\(566\) | −3.75544 | − | 10.2672i | −0.157853 | − | 0.431562i | ||||
\(567\) | −7.37798 | + | 37.0916i | −0.309846 | + | 1.55770i | ||||
\(568\) | 15.9817 | + | 25.4295i | 0.670579 | + | 1.06700i | ||||
\(569\) | 20.5566 | − | 4.08896i | 0.861778 | − | 0.171418i | 0.255634 | − | 0.966774i | \(-0.417716\pi\) |
0.606144 | + | 0.795355i | \(0.292716\pi\) | |||||||
\(570\) | 21.9401 | − | 90.2833i | 0.918971 | − | 3.78155i | ||||
\(571\) | −9.69781 | − | 18.1433i | −0.405841 | − | 0.759274i | 0.593108 | − | 0.805123i | \(-0.297901\pi\) |
−0.998948 | + | 0.0458487i | \(0.985401\pi\) | |||||||
\(572\) | 10.5870 | − | 1.19353i | 0.442664 | − | 0.0499041i | ||||
\(573\) | −9.44165 | − | 0.929921i | −0.394431 | − | 0.0388480i | ||||
\(574\) | −1.27630 | + | 9.04247i | −0.0532716 | + | 0.377425i | ||||
\(575\) | − | 18.9673i | − | 0.790993i | ||||||
\(576\) | 58.5964 | − | 34.5799i | 2.44152 | − | 1.44083i | ||||
\(577\) | − | 38.6335i | − | 1.60833i | −0.594403 | − | 0.804167i | \(-0.702612\pi\) | ||
0.594403 | − | 0.804167i | \(-0.297388\pi\) | |||||||
\(578\) | 22.7675 | + | 3.21351i | 0.947002 | + | 0.133665i | ||||
\(579\) | 78.0027 | + | 7.68260i | 3.24168 | + | 0.319278i | ||||
\(580\) | −21.2195 | − | 16.9198i | −0.881091 | − | 0.702557i | ||||
\(581\) | 0.569263 | + | 1.06502i | 0.0236170 | + | 0.0441843i | ||||
\(582\) | −13.4164 | − | 3.26038i | −0.556128 | − | 0.135147i | ||||
\(583\) | −8.16681 | + | 1.62448i | −0.338235 | + | 0.0672790i | ||||
\(584\) | −4.66720 | + | 0.793437i | −0.193130 | + | 0.0328327i | ||||
\(585\) | 28.5483 | − | 143.522i | 1.18033 | − | 5.93391i | ||||
\(586\) | −10.5799 | + | 3.86984i | −0.437054 | + | 0.159862i | ||||
\(587\) | −9.49499 | − | 7.79234i | −0.391900 | − | 0.321624i | 0.417723 | − | 0.908575i | \(-0.362828\pi\) |
−0.809623 | + | 0.586950i | \(0.800328\pi\) | |||||||
\(588\) | 6.78309 | − | 0.0955604i | 0.279730 | − | 0.00394085i | ||||
\(589\) | 4.50903 | + | 2.41013i | 0.185791 | + | 0.0993075i | ||||
\(590\) | 41.3967 | − | 2.32608i | 1.70428 | − | 0.0957632i | ||||
\(591\) | 22.4127 | − | 9.28363i | 0.921934 | − | 0.381877i | ||||
\(592\) | −24.6946 | − | 28.4187i | −1.01494 | − | 1.16800i | ||||
\(593\) | 34.7466 | + | 14.3925i | 1.42687 | + | 0.591030i | 0.956577 | − | 0.291480i | \(-0.0941477\pi\) |
0.470295 | + | 0.882509i | \(0.344148\pi\) | |||||||
\(594\) | 25.8962 | + | 9.06059i | 1.06254 | + | 0.371760i | ||||
\(595\) | 18.5199 | − | 5.61796i | 0.759243 | − | 0.230314i | ||||
\(596\) | 0.424682 | − | 2.30420i | 0.0173956 | − | 0.0943837i | ||||
\(597\) | −3.77387 | − | 38.3168i | −0.154454 | − | 1.56820i | ||||
\(598\) | 14.8640 | + | 16.1696i | 0.607836 | + | 0.661223i | ||||
\(599\) | −15.6072 | − | 23.3579i | −0.637694 | − | 0.954376i | −0.999753 | − | 0.0222212i | \(-0.992926\pi\) |
0.362059 | − | 0.932155i | \(-0.382074\pi\) | |||||||
\(600\) | 19.0384 | − | 56.9765i | 0.777241 | − | 2.32606i | ||||
\(601\) | 27.2170 | + | 18.1858i | 1.11020 | + | 0.741815i | 0.968728 | − | 0.248126i | \(-0.0798148\pi\) |
0.141477 | + | 0.989942i | \(0.454815\pi\) | |||||||
\(602\) | 0.405130 | − | 0.554373i | 0.0165119 | − | 0.0225946i | ||||
\(603\) | 2.36411 | + | 0.717146i | 0.0962742 | + | 0.0292045i | ||||
\(604\) | 7.88532 | + | 24.7346i | 0.320849 | + | 1.00644i | ||||
\(605\) | −21.1201 | − | 25.7349i | −0.858652 | − | 1.04627i | ||||
\(606\) | 3.05117 | − | 0.787160i | 0.123945 | − | 0.0319762i | ||||
\(607\) | −18.8408 | − | 18.8408i | −0.764724 | − | 0.764724i | 0.212448 | − | 0.977172i | \(-0.431856\pi\) |
−0.977172 | + | 0.212448i | \(0.931856\pi\) | |||||||
\(608\) | 12.0751 | + | 30.3350i | 0.489708 | + | 1.23025i | ||||
\(609\) | −9.69825 | + | 9.69825i | −0.392993 | + | 0.392993i | ||||
\(610\) | 16.6561 | − | 28.2382i | 0.674387 | − | 1.14333i | ||||
\(611\) | −25.0788 | + | 20.5816i | −1.01458 | + | 0.832644i | ||||
\(612\) | −63.2932 | − | 74.9448i | −2.55848 | − | 3.02947i | ||||
\(613\) | −2.28658 | + | 7.53783i | −0.0923539 | + | 0.304450i | −0.990932 | − | 0.134363i | \(-0.957101\pi\) |
0.898578 | + | 0.438813i | \(0.144601\pi\) | |||||||
\(614\) | 44.8920 | − | 6.98260i | 1.81169 | − | 0.281795i | ||||
\(615\) | 40.8355 | − | 61.1146i | 1.64665 | − | 2.46438i | ||||
\(616\) | 0.369681 | − | 2.91536i | 0.0148949 | − | 0.117463i | ||||
\(617\) | −26.6609 | + | 17.8143i | −1.07333 | + | 0.717176i | −0.961015 | − | 0.276497i | \(-0.910826\pi\) |
−0.112314 | + | 0.993673i | \(0.535826\pi\) | |||||||
\(618\) | −80.8701 | − | 3.40209i | −3.25307 | − | 0.136852i | ||||
\(619\) | −15.7933 | + | 1.55550i | −0.634785 | + | 0.0625208i | −0.410291 | − | 0.911955i | \(-0.634573\pi\) |
−0.224494 | + | 0.974476i | \(0.572073\pi\) | |||||||
\(620\) | 4.98942 | + | 3.23310i | 0.200380 | + | 0.129844i | ||||
\(621\) | 16.4182 | + | 54.1234i | 0.658838 | + | 2.17190i | ||||
\(622\) | 14.2066 | + | 29.4980i | 0.569633 | + | 1.18276i | ||||
\(623\) | 3.55087 | − | 8.57255i | 0.142262 | − | 0.343452i | ||||
\(624\) | 28.4203 | + | 63.4920i | 1.13772 | + | 2.54171i | ||||
\(625\) | 6.54364 | + | 15.7977i | 0.261746 | + | 0.631910i | ||||
\(626\) | 18.3697 | − | 20.5570i | 0.734201 | − | 0.821623i | ||||
\(627\) | −9.58840 | + | 17.9386i | −0.382924 | + | 0.716400i | ||||
\(628\) | −4.46938 | − | 10.3742i | −0.178348 | − | 0.413977i | ||||
\(629\) | −34.4353 | + | 41.9595i | −1.37302 | + | 1.67304i | ||||
\(630\) | −36.6085 | − | 17.0001i | −1.45852 | − | 0.677299i | ||||
\(631\) | 18.5046 | + | 3.68080i | 0.736658 | + | 0.146530i | 0.549139 | − | 0.835731i | \(-0.314956\pi\) |
0.187518 | + | 0.982261i | \(0.439956\pi\) | |||||||
\(632\) | −5.17822 | − | 5.47616i | −0.205979 | − | 0.217830i | ||||
\(633\) | 3.32405 | + | 16.7111i | 0.132119 | + | 0.664208i | ||||
\(634\) | −5.82935 | + | 3.55002i | −0.231513 | + | 0.140989i | ||||
\(635\) | 41.5417 | − | 22.2045i | 1.64853 | − | 0.881158i | ||||
\(636\) | −26.3015 | − | 47.5820i | −1.04292 | − | 1.88675i | ||||
\(637\) | −0.502547 | + | 5.10244i | −0.0199116 | + | 0.202166i | ||||
\(638\) | 3.57285 | + | 4.74718i | 0.141450 | + | 0.187943i | ||||
\(639\) | −90.3119 | −3.57268 | ||||||||
\(640\) | 11.0292 | + | 36.3299i | 0.435966 | + | 1.43606i | ||||
\(641\) | −5.92037 | −0.233840 | −0.116920 | − | 0.993141i | \(-0.537302\pi\) | ||||
−0.116920 | + | 0.993141i | \(0.537302\pi\) | |||||||
\(642\) | 22.2312 | + | 29.5381i | 0.877394 | + | 1.16578i | ||||
\(643\) | −3.08701 | + | 31.3429i | −0.121740 | + | 1.23604i | 0.719157 | + | 0.694848i | \(0.244528\pi\) |
−0.840897 | + | 0.541196i | \(0.817972\pi\) | |||||||
\(644\) | 5.30208 | − | 2.93078i | 0.208931 | − | 0.115489i | ||||
\(645\) | −4.87394 | + | 2.60518i | −0.191911 | + | 0.102579i | ||||
\(646\) | 40.2047 | − | 24.4843i | 1.58183 | − | 0.963323i | ||||
\(647\) | 1.54606 | + | 7.77259i | 0.0607820 | + | 0.305572i | 0.999203 | − | 0.0399227i | \(-0.0127112\pi\) |
−0.938421 | + | 0.345495i | \(0.887711\pi\) | |||||||
\(648\) | −2.99004 | + | 106.924i | −0.117460 | + | 4.20039i | ||||
\(649\) | −8.90261 | − | 1.77084i | −0.349458 | − | 0.0695115i | ||||
\(650\) | 41.1795 | + | 19.1227i | 1.61519 | + | 0.750053i | ||||
\(651\) | 1.90609 | − | 2.32258i | 0.0747057 | − | 0.0910292i | ||||
\(652\) | 17.0754 | − | 7.35635i | 0.668724 | − | 0.288097i | ||||
\(653\) | 12.6507 | − | 23.6678i | 0.495060 | − | 0.926192i | −0.503021 | − | 0.864274i | \(-0.667778\pi\) |
0.998081 | − | 0.0619178i | \(-0.0197217\pi\) | |||||||
\(654\) | 0.673495 | − | 0.753689i | 0.0263357 | − | 0.0294716i | ||||
\(655\) | −17.0056 | − | 41.0551i | −0.664463 | − | 1.60415i | ||||
\(656\) | 0.727628 | + | 25.8192i | 0.0284091 | + | 1.00807i | ||||
\(657\) | 5.44761 | − | 13.1517i | 0.212532 | − | 0.513097i | ||||
\(658\) | 3.88296 | + | 8.06242i | 0.151374 | + | 0.314306i | ||||
\(659\) | −0.182995 | − | 0.603254i | −0.00712848 | − | 0.0234994i | 0.953304 | − | 0.302013i | \(-0.0976584\pi\) |
−0.960432 | + | 0.278513i | \(0.910158\pi\) | |||||||
\(660\) | −12.8625 | + | 19.8498i | −0.500672 | + | 0.772653i | ||||
\(661\) | −0.288440 | + | 0.0284089i | −0.0112190 | + | 0.00110498i | −0.103625 | − | 0.994616i | \(-0.533044\pi\) |
0.0924061 | + | 0.995721i | \(0.470544\pi\) | |||||||
\(662\) | −4.82120 | − | 0.202821i | −0.187381 | − | 0.00788287i | ||||
\(663\) | 83.3900 | − | 55.7194i | 3.23860 | − | 2.16396i | ||||
\(664\) | 2.09221 | + | 2.69986i | 0.0811933 | + | 0.104775i | ||||
\(665\) | 10.7609 | − | 16.1049i | 0.417291 | − | 0.624520i | ||||
\(666\) | 111.863 | − | 17.3994i | 4.33459 | − | 0.674211i | ||||
\(667\) | −3.55552 | + | 11.7210i | −0.137670 | + | 0.453839i | ||||
\(668\) | 4.24788 | − | 3.58747i | 0.164355 | − | 0.138803i | ||||
\(669\) | −37.7999 | + | 31.0216i | −1.46143 | + | 1.19936i | ||||
\(670\) | −0.700388 | + | 1.18741i | −0.0270584 | + | 0.0458738i | ||||
\(671\) | −5.07513 | + | 5.07513i | −0.195923 | + | 0.195923i | ||||
\(672\) | 18.8688 | − | 3.48191i | 0.727880 | − | 0.134318i | ||||
\(673\) | −10.6219 | − | 10.6219i | −0.409443 | − | 0.409443i | 0.472101 | − | 0.881544i | \(-0.343496\pi\) |
−0.881544 | + | 0.472101i | \(0.843496\pi\) | |||||||
\(674\) | 0.482596 | − | 0.124503i | 0.0185889 | − | 0.00479567i | ||||
\(675\) | 74.1723 | + | 90.3792i | 2.85489 | + | 3.47870i | ||||
\(676\) | −25.3194 | + | 8.07176i | −0.973824 | + | 0.310452i | ||||
\(677\) | −10.6167 | − | 3.22053i | −0.408032 | − | 0.123775i | 0.0795951 | − | 0.996827i | \(-0.474637\pi\) |
−0.487627 | + | 0.873052i | \(0.662137\pi\) | |||||||
\(678\) | −34.5599 | + | 47.2912i | −1.32726 | + | 1.81621i | ||||
\(679\) | −2.39324 | − | 1.59911i | −0.0918441 | − | 0.0613683i | ||||
\(680\) | 48.9782 | − | 24.4444i | 1.87823 | − | 0.937400i | ||||
\(681\) | 40.4405 | + | 60.5235i | 1.54968 | + | 2.31927i | ||||
\(682\) | −0.880858 | − | 0.958226i | −0.0337298 | − | 0.0366924i | ||||
\(683\) | 2.05785 | + | 20.8937i | 0.0787413 | + | 0.799473i | 0.950745 | + | 0.309974i | \(0.100320\pi\) |
−0.872004 | + | 0.489499i | \(0.837180\pi\) | |||||||
\(684\) | −96.5500 | − | 17.7949i | −3.69168 | − | 0.680406i | ||||
\(685\) | −0.172511 | + | 0.0523305i | −0.00659129 | + | 0.00199945i | ||||
\(686\) | 1.33487 | + | 0.467044i | 0.0509655 | + | 0.0178318i | ||||
\(687\) | −15.8107 | − | 6.54900i | −0.603216 | − | 0.249860i | ||||
\(688\) | 0.866878 | − | 1.73787i | 0.0330494 | − | 0.0662558i | ||||
\(689\) | 37.9627 | − | 15.7247i | 1.44627 | − | 0.599063i | ||||
\(690\) | −48.6840 | + | 2.73555i | −1.85337 | + | 0.104141i | ||||
\(691\) | 11.5397 | + | 6.16808i | 0.438989 | + | 0.234645i | 0.676058 | − | 0.736848i | \(-0.263687\pi\) |
−0.237069 | + | 0.971493i | \(0.576187\pi\) | |||||||
\(692\) | 0.625729 | + | 44.4157i | 0.0237867 | + | 1.68843i | ||||
\(693\) | 6.83068 | + | 5.60579i | 0.259476 | + | 0.212946i | ||||
\(694\) | 46.7438 | − | 17.0975i | 1.77437 | − | 0.649014i | ||||
\(695\) | 5.75870 | − | 28.9510i | 0.218440 | − | 1.09817i | ||||
\(696\) | −22.4455 | + | 31.6401i | −0.850793 | + | 1.19932i | ||||
\(697\) | 36.5243 | − | 7.26513i | 1.38345 | − | 0.275186i | ||||
\(698\) | −40.1201 | − | 9.74976i | −1.51857 | − | 0.369034i | ||||
\(699\) | 35.1286 | + | 65.7209i | 1.32868 | + | 2.48579i | ||||
\(700\) | 7.80765 | − | 9.79173i | 0.295101 | − | 0.370093i | ||||
\(701\) | −13.7264 | − | 1.35193i | −0.518439 | − | 0.0510618i | −0.164586 | − | 0.986363i | \(-0.552629\pi\) |
−0.353853 | + | 0.935301i | \(0.615129\pi\) | |||||||
\(702\) | −134.058 | − | 18.9217i | −5.05971 | − | 0.714152i | ||||
\(703\) | 54.3252i | 2.04891i | ||||||||
\(704\) | −0.351167 | − | 8.30448i | −0.0132351 | − | 0.312987i | ||||
\(705\) | − | 72.0262i | − | 2.71266i | ||||||
\(706\) | −4.49578 | + | 31.8522i | −0.169201 | + | 1.19877i | ||||
\(707\) | 0.653743 | + | 0.0643880i | 0.0245865 | + | 0.00242156i | ||||
\(708\) | −6.63932 | − | 58.8927i | −0.249521 | − | 2.21332i | ||||
\(709\) | 6.45388 | + | 12.0744i | 0.242381 | + | 0.453462i | 0.973469 | − | 0.228821i | \(-0.0734871\pi\) |
−0.731088 | + | 0.682283i | \(0.760987\pi\) | |||||||
\(710\) | 11.9006 | − | 48.9706i | 0.446620 | − | 1.83783i | ||||
\(711\) | 22.2270 | − | 4.42122i | 0.833576 | − | 0.165809i | ||||
\(712\) | 5.83758 | − | 25.5871i | 0.218773 | − | 0.958918i | ||||
\(713\) | 0.523471 | − | 2.63167i | 0.0196041 | − | 0.0985567i | ||||
\(714\) | −9.50280 | − | 25.9802i | −0.355633 | − | 0.972283i | ||||
\(715\) | −13.8189 | − | 11.3409i | −0.516797 | − | 0.424124i | ||||
\(716\) | 19.0665 | − | 19.6114i | 0.712549 | − | 0.732913i | ||||
\(717\) | 13.0502 | + | 6.97548i | 0.487369 | + | 0.260504i | ||||
\(718\) | −1.88419 | − | 33.5325i | −0.0703174 | − | 1.25142i | ||||
\(719\) | −8.62241 | + | 3.57152i | −0.321562 | + | 0.133195i | −0.537625 | − | 0.843184i | \(-0.680678\pi\) |
0.216063 | + | 0.976379i | \(0.430678\pi\) | |||||||
\(720\) | −110.139 | − | 30.0494i | −4.10463 | − | 1.11988i | ||||
\(721\) | −15.5895 | − | 6.45737i | −0.580582 | − | 0.240485i | ||||
\(722\) | 6.68488 | − | 19.1062i | 0.248786 | − | 0.711059i | ||||
\(723\) | −46.7690 | + | 14.1872i | −1.73936 | + | 0.527629i | ||||
\(724\) | −1.65157 | + | 1.13752i | −0.0613802 | + | 0.0422756i | ||||
\(725\) | 2.48179 | + | 25.1980i | 0.0921712 | + | 0.935830i | ||||
\(726\) | −35.0338 | + | 32.2051i | −1.30023 | + | 1.19524i | ||||
\(727\) | 26.2028 | + | 39.2153i | 0.971809 | + | 1.45442i | 0.889031 | + | 0.457847i | \(0.151379\pi\) |
0.0827786 | + | 0.996568i | \(0.473621\pi\) | |||||||
\(728\) | 1.01745 | + | 14.4660i | 0.0377090 | + | 0.536145i | ||||
\(729\) | −109.455 | − | 73.1357i | −4.05390 | − | 2.70873i | ||||
\(730\) | 6.41351 | + | 4.68693i | 0.237375 | + | 0.173471i | ||||
\(731\) | −2.67944 | − | 0.812799i | −0.0991027 | − | 0.0300625i | ||||
\(732\) | −41.6358 | − | 21.5063i | −1.53890 | − | 0.794895i | ||||
\(733\) | −12.8192 | − | 15.6202i | −0.473487 | − | 0.576946i | 0.480423 | − | 0.877037i | \(-0.340483\pi\) |
−0.953911 | + | 0.300091i | \(0.902983\pi\) | |||||||
\(734\) | 4.53709 | + | 17.5866i | 0.167467 | + | 0.649132i | ||||
\(735\) | −8.04875 | − | 8.04875i | −0.296883 | − | 0.296883i | ||||
\(736\) | 13.3951 | − | 10.6856i | 0.493750 | − | 0.393878i | ||||
\(737\) | 0.213408 | − | 0.213408i | 0.00786100 | − | 0.00786100i | ||||
\(738\) | −66.8971 | − | 39.4588i | −2.46251 | − | 1.45250i | ||||
\(739\) | 37.9596 | − | 31.1526i | 1.39637 | − | 1.14597i | 0.425890 | − | 0.904775i | \(-0.359961\pi\) |
0.970477 | − | 0.241193i | \(-0.0775388\pi\) | |||||||
\(740\) | −5.30574 | + | 62.9490i | −0.195043 | + | 2.31405i | ||||
\(741\) | 29.1372 | − | 96.0524i | 1.07038 | − | 3.52857i | ||||
\(742\) | −1.74197 | − | 11.1993i | −0.0639496 | − | 0.411140i | ||||
\(743\) | −11.8180 | + | 17.6869i | −0.433560 | + | 0.648868i | −0.982341 | − | 0.187098i | \(-0.940092\pi\) |
0.548781 | + | 0.835966i | \(0.315092\pi\) | |||||||
\(744\) | 4.21400 | − | 7.37990i | 0.154493 | − | 0.270560i | ||||
\(745\) | −3.26883 | + | 2.18416i | −0.119761 | + | 0.0800216i | ||||
\(746\) | 1.19713 | − | 28.4567i | 0.0438302 | − | 1.04187i | ||||
\(747\) | −10.2211 | + | 1.00669i | −0.373971 | + | 0.0368329i | ||||
\(748\) | −11.7194 | + | 2.50325i | −0.428503 | + | 0.0915278i | ||||
\(749\) | 2.23722 | + | 7.37513i | 0.0817463 | + | 0.269481i | ||||
\(750\) | −18.2991 | + | 8.81308i | −0.668189 | + | 0.321808i | ||||
\(751\) | −1.87714 | + | 4.53181i | −0.0684978 | + | 0.165368i | −0.954421 | − | 0.298464i | \(-0.903526\pi\) |
0.885923 | + | 0.463832i | \(0.153526\pi\) | |||||||
\(752\) | 14.6492 | + | 20.6407i | 0.534203 | + | 0.752690i | ||||
\(753\) | 28.5126 | + | 68.8354i | 1.03906 | + | 2.50850i | ||||
\(754\) | −21.8625 | − | 19.5363i | −0.796184 | − | 0.711469i | ||||
\(755\) | 20.5344 | − | 38.4172i | 0.747324 | − | 1.39815i | ||||
\(756\) | −13.8034 | + | 34.6990i | −0.502026 | + | 1.26199i | ||||
\(757\) | 18.0478 | − | 21.9913i | 0.655959 | − | 0.799288i | −0.333708 | − | 0.942677i | \(-0.608300\pi\) |
0.989666 | + | 0.143388i | \(0.0457998\pi\) | |||||||
\(758\) | −17.1613 | + | 36.9557i | −0.623325 | + | 1.34229i | ||||
\(759\) | 10.4698 | + | 2.08257i | 0.380029 | + | 0.0755924i | ||||
\(760\) | 22.3717 | − | 50.0082i | 0.811505 | − | 1.81399i | ||||
\(761\) | 0.606993 | + | 3.05156i | 0.0220035 | + | 0.110619i | 0.990226 | − | 0.139470i | \(-0.0445400\pi\) |
−0.968223 | + | 0.250089i | \(0.919540\pi\) | |||||||
\(762\) | −35.0204 | − | 57.5055i | −1.26865 | − | 2.08320i | ||||
\(763\) | 0.185833 | − | 0.0993299i | 0.00672761 | − | 0.00359598i | ||||
\(764\) | −5.37560 | − | 1.54832i | −0.194482 | − | 0.0560163i | ||||
\(765\) | −16.1334 | + | 163.805i | −0.583303 | + | 5.92237i | ||||
\(766\) | −10.4089 | + | 7.83403i | −0.376090 | + | 0.283055i | ||||
\(767\) | 44.7927 | 1.61737 | ||||||||
\(768\) | 50.9636 | − | 18.6536i | 1.83899 | − | 0.673104i | ||||
\(769\) | −35.6897 | −1.28700 | −0.643502 | − | 0.765444i | \(-0.722519\pi\) | ||||
−0.643502 | + | 0.765444i | \(0.722519\pi\) | |||||||
\(770\) | −3.93977 | + | 2.96517i | −0.141979 | + | 0.106857i | ||||
\(771\) | 5.77727 | − | 58.6576i | 0.208063 | − | 2.11250i | ||||
\(772\) | 44.4108 | + | 12.7916i | 1.59838 | + | 0.460378i | ||||
\(773\) | 11.7466 | − | 6.27868i | 0.422496 | − | 0.225829i | −0.246426 | − | 0.969162i | \(-0.579256\pi\) |
0.668922 | + | 0.743333i | \(0.266756\pi\) | |||||||
\(774\) | 3.03741 | + | 4.98760i | 0.109177 | + | 0.179276i | ||||
\(775\) | −1.08212 | − | 5.44018i | −0.0388709 | − | 0.195417i | ||||
\(776\) | −7.43140 | − | 3.32451i | −0.266772 | − | 0.119343i | ||||
\(777\) | 31.3118 | + | 6.22830i | 1.12330 | + | 0.223439i | ||||
\(778\) | −19.1341 | + | 41.2041i | −0.685991 | + | 1.47724i | ||||
\(779\) | 23.6441 | − | 28.8104i | 0.847136 | − | 1.03224i | ||||
\(780\) | 43.1436 | − | 108.454i | 1.54479 | − | 3.88329i | ||||
\(781\) | −5.20085 | + | 9.73010i | −0.186101 | + | 0.348170i | ||||
\(782\) | −18.4214 | − | 16.4613i | −0.658746 | − | 0.588655i | ||||
\(783\) | −28.8932 | − | 69.7543i | −1.03256 | − | 2.49282i | ||||
\(784\) | 3.94357 | + | 0.669535i | 0.140842 | + | 0.0239120i | ||||
\(785\) | −7.25333 | + | 17.5111i | −0.258883 | + | 0.624998i | ||||
\(786\) | −57.2279 | + | 27.5617i | −2.04125 | + | 0.983094i | ||||
\(787\) | 1.47620 | + | 4.86637i | 0.0526208 | + | 0.173467i | 0.979312 | − | 0.202356i | \(-0.0648599\pi\) |
−0.926691 | + | 0.375824i | \(0.877360\pi\) | |||||||
\(788\) | 13.9888 | − | 2.98798i | 0.498329 | − | 0.106443i | ||||
\(789\) | 11.0925 | − | 1.09251i | 0.394902 | − | 0.0388944i | ||||
\(790\) | −0.531533 | + | 12.6349i | −0.0189111 | + | 0.449530i | ||||
\(791\) | −10.1529 | + | 6.78396i | −0.360996 | + | 0.241210i | ||||
\(792\) | 21.7042 | + | 12.3933i | 0.771224 | + | 0.440377i | ||||
\(793\) | 19.6773 | − | 29.4491i | 0.698760 | − | 1.04577i | ||||
\(794\) | 0.316509 | + | 2.03487i | 0.0112325 | + | 0.0722149i | ||||
\(795\) | −26.4811 | + | 87.2964i | −0.939187 | + | 3.09608i | ||||
\(796\) | 1.90675 | − | 22.6223i | 0.0675831 | − | 0.801827i | ||||
\(797\) | −5.47642 | + | 4.49438i | −0.193985 | + | 0.159199i | −0.726372 | − | 0.687302i | \(-0.758795\pi\) |
0.532387 | + | 0.846501i | \(0.321295\pi\) | |||||||
\(798\) | −23.8469 | − | 14.0660i | −0.844173 | − | 0.497929i | ||||
\(799\) | 25.8038 | − | 25.8038i | 0.912874 | − | 0.912874i | ||||
\(800\) | 17.1293 | − | 31.0046i | 0.605614 | − | 1.09618i | ||||
\(801\) | 55.8017 | + | 55.8017i | 1.97166 | + | 1.97166i | ||||
\(802\) | 8.62113 | + | 33.4171i | 0.304423 | + | 1.18000i | ||||
\(803\) | −1.10323 | − | 1.34429i | −0.0389323 | − | 0.0474391i | ||||
\(804\) | 1.75078 | + | 0.904337i | 0.0617452 | + | 0.0318935i | ||||
\(805\) | −9.72746 | − | 2.95079i | −0.342848 | − | 0.104002i | ||||
\(806\) | 5.18578 | + | 3.78971i | 0.182661 | + | 0.133487i | ||||
\(807\) | −33.7301 | − | 22.5377i | −1.18736 | − | 0.793366i | ||||
\(808\) | 1.85343 | − | 0.130359i | 0.0652035 | − | 0.00458600i | ||||
\(809\) | −12.8805 | − | 19.2771i | −0.452855 | − | 0.677745i | 0.532853 | − | 0.846208i | \(-0.321120\pi\) |
−0.985708 | + | 0.168463i | \(0.946120\pi\) | |||||||
\(810\) | 132.135 | − | 121.466i | 4.64274 | − | 4.26788i | ||||
\(811\) | 1.53012 | + | 15.5355i | 0.0537296 | + | 0.545526i | 0.983940 | + | 0.178499i | \(0.0571242\pi\) |
−0.930210 | + | 0.367027i | \(0.880376\pi\) | |||||||
\(812\) | −6.66029 | + | 4.58728i | −0.233730 | + | 0.160982i | ||||
\(813\) | 67.0240 | − | 20.3315i | 2.35063 | − | 0.713057i | ||||
\(814\) | 4.56732 | − | 13.0539i | 0.160084 | − | 0.457540i | ||||
\(815\) | −28.8223 | − | 11.9386i | −1.00960 | − | 0.418190i | ||||
\(816\) | −38.8134 | − | 67.9389i | −1.35874 | − | 2.37834i | ||||
\(817\) | −2.58899 | + | 1.07240i | −0.0905774 | + | 0.0375184i | ||||
\(818\) | −0.809143 | − | 14.4001i | −0.0282910 | − | 0.503489i | ||||
\(819\) | −38.4567 | − | 20.5555i | −1.34379 | − | 0.718269i | ||||
\(820\) | 30.2112 | − | 31.0746i | 1.05502 | − | 1.08517i | ||||
\(821\) | −40.0560 | − | 32.8731i | −1.39796 | − | 1.14728i | −0.969892 | − | 0.243535i | \(-0.921693\pi\) |
−0.428072 | − | 0.903745i | \(-0.640807\pi\) | |||||||
\(822\) | 0.0885172 | + | 0.242002i | 0.00308739 | + | 0.00844077i | ||||
\(823\) | −4.80976 | + | 24.1803i | −0.167658 | + | 0.842873i | 0.801796 | + | 0.597598i | \(0.203878\pi\) |
−0.969454 | + | 0.245275i | \(0.921122\pi\) | |||||||
\(824\) | −46.5310 | − | 10.6158i | −1.62099 | − | 0.369820i | ||||
\(825\) | 21.6431 | − | 4.30509i | 0.753517 | − | 0.149884i | ||||
\(826\) | 2.91757 | − | 12.0057i | 0.101515 | − | 0.417733i | ||||
\(827\) | −10.9988 | − | 20.5772i | −0.382464 | − | 0.715540i | 0.614861 | − | 0.788636i | \(-0.289212\pi\) |
−0.997325 | + | 0.0730955i | \(0.976712\pi\) | |||||||
\(828\) | 5.77204 | + | 51.1997i | 0.200592 | + | 1.77931i | ||||
\(829\) | 12.2117 | + | 1.20275i | 0.424130 | + | 0.0417732i | 0.307831 | − | 0.951441i | \(-0.400397\pi\) |
0.116299 | + | 0.993214i | \(0.462897\pi\) | |||||||
\(830\) | 0.800988 | − | 5.67493i | 0.0278027 | − | 0.196980i | ||||
\(831\) | − | 52.5098i | − | 1.82155i | ||||||
\(832\) | 9.69450 | + | 39.8549i | 0.336096 | + | 1.38172i | ||||
\(833\) | − | 5.76703i | − | 0.199816i | ||||||
\(834\) | −41.7791 | − | 5.89690i | −1.44669 | − | 0.204193i | ||||
\(835\) | −9.28446 | − | 0.914439i | −0.321302 | − | 0.0316455i | ||||
\(836\) | −7.47729 | + | 9.37742i | −0.258607 | + | 0.324325i | ||||
\(837\) | 7.79686 | + | 14.5869i | 0.269499 | + | 0.504197i | ||||
\(838\) | −7.36587 | − | 1.79001i | −0.254450 | − | 0.0618350i | ||||
\(839\) | −3.59720 | + | 0.715528i | −0.124189 | + | 0.0247028i | −0.256794 | − | 0.966466i | \(-0.582666\pi\) |
0.132604 | + | 0.991169i | \(0.457666\pi\) | |||||||
\(840\) | −26.2587 | − | 18.6279i | −0.906012 | − | 0.642723i | ||||
\(841\) | −2.46777 | + | 12.4063i | −0.0850954 | + | 0.427803i | ||||
\(842\) | −28.4924 | + | 10.4217i | −0.981914 | + | 0.359156i | ||||
\(843\) | −14.1786 | − | 11.6360i | −0.488335 | − | 0.400767i | ||||
\(844\) | 0.141523 | + | 10.0456i | 0.00487143 | + | 0.345785i | ||||
\(845\) | 39.3255 | + | 21.0199i | 1.35284 | + | 0.723108i | ||||
\(846\) | −75.9881 | + | 4.26977i | −2.61252 | + | 0.146798i | ||||
\(847\) | −9.16535 | + | 3.79641i | −0.314925 | + | 0.130446i | ||||
\(848\) | −10.1663 | − | 30.4027i | −0.349111 | − | 1.04403i | ||||
\(849\) | 24.2247 | + | 10.0342i | 0.831391 | + | 0.344373i | ||||
\(850\) | −48.2042 | − | 16.8657i | −1.65339 | − | 0.578488i | ||||
\(851\) | 27.2829 | − | 8.27617i | 0.935244 | − | 0.283703i | ||||
\(852\) | −70.8425 | − | 13.0568i | −2.42702 | − | 0.447320i | ||||
\(853\) | 0.166760 | + | 1.69314i | 0.00570975 | + | 0.0579721i | 0.997617 | − | 0.0689895i | \(-0.0219775\pi\) |
−0.991908 | + | 0.126962i | \(0.959478\pi\) | |||||||
\(854\) | −6.61153 | − | 7.19223i | −0.226242 | − | 0.246113i | ||||
\(855\) | 91.5203 | + | 136.970i | 3.12993 | + | 4.68427i | ||||
\(856\) | 9.73441 | + | 19.5044i | 0.332715 | + | 0.666648i | ||||
\(857\) | 15.5636 | + | 10.3993i | 0.531642 | + | 0.355232i | 0.792234 | − | 0.610217i | \(-0.208918\pi\) |
−0.260592 | + | 0.965449i | \(0.583918\pi\) | |||||||
\(858\) | −15.0769 | + | 20.6310i | −0.514718 | + | 0.704331i | ||||
\(859\) | 38.9045 | + | 11.8015i | 1.32740 | + | 0.402663i | 0.872821 | − | 0.488041i | \(-0.162288\pi\) |
0.454583 | + | 0.890705i | \(0.349788\pi\) | |||||||
\(860\) | −3.10471 | + | 0.989774i | −0.105870 | + | 0.0337510i | ||||
\(861\) | −13.8949 | − | 16.9310i | −0.473536 | − | 0.577006i | ||||
\(862\) | −35.7259 | + | 9.21676i | −1.21683 | + | 0.313924i | ||||
\(863\) | −1.18341 | − | 1.18341i | −0.0402837 | − | 0.0402837i | 0.686678 | − | 0.726962i | \(-0.259068\pi\) |
−0.726962 | + | 0.686678i | \(0.759068\pi\) | |||||||
\(864\) | −22.0410 | + | 103.299i | −0.749852 | + | 3.51430i | ||||
\(865\) | 52.7032 | − | 52.7032i | 1.79196 | − | 1.79196i | ||||
\(866\) | 17.7711 | − | 30.1285i | 0.603887 | − | 1.02381i | ||||
\(867\) | −42.6295 | + | 34.9851i | −1.44777 | + | 1.18816i | ||||
\(868\) | 1.35353 | − | 1.14310i | 0.0459417 | − | 0.0387992i | ||||
\(869\) | 0.803661 | − | 2.64931i | 0.0272623 | − | 0.0898718i | ||||
\(870\) | 64.3184 | − | 10.0042i | 2.18060 | − | 0.339175i | ||||
\(871\) | −0.827426 | + | 1.23833i | −0.0280363 | + | 0.0419592i | ||||
\(872\) | 0.471095 | − | 0.365066i | 0.0159533 | − | 0.0123627i | ||||
\(873\) | 20.3542 | − | 13.6002i | 0.688885 | − | 0.460298i | ||||
\(874\) | −24.7031 | − | 1.03922i | −0.835594 | − | 0.0351523i | ||||
\(875\) | −4.21380 | + | 0.415023i | −0.142453 | + | 0.0140304i | ||||
\(876\) | 6.17463 | − | 9.52888i | 0.208621 | − | 0.321951i | ||||
\(877\) | 8.85159 | + | 29.1798i | 0.298897 | + | 0.985331i | 0.969824 | + | 0.243807i | \(0.0783965\pi\) |
−0.670927 | + | 0.741524i | \(0.734103\pi\) | |||||||
\(878\) | 20.3251 | + | 42.2021i | 0.685938 | + | 1.42425i | ||||
\(879\) | 10.3399 | − | 24.9627i | 0.348755 | − | 0.841969i | ||||
\(880\) | −9.58012 | + | 10.1357i | −0.322946 | + | 0.341676i | ||||
\(881\) | 14.1400 | + | 34.1370i | 0.476390 | + | 1.15011i | 0.961290 | + | 0.275537i | \(0.0888557\pi\) |
−0.484901 | + | 0.874569i | \(0.661144\pi\) | |||||||
\(882\) | −8.01434 | + | 8.96861i | −0.269857 | + | 0.301989i | ||||
\(883\) | 17.0481 | − | 31.8948i | 0.573715 | − | 1.07335i | −0.412976 | − | 0.910742i | \(-0.635511\pi\) |
0.986691 | − | 0.162604i | \(-0.0519893\pi\) | |||||||
\(884\) | 54.3109 | − | 23.3980i | 1.82667 | − | 0.786959i | ||||
\(885\) | −63.0863 | + | 76.8709i | −2.12062 | + | 2.58399i | ||||
\(886\) | −26.9285 | − | 12.5049i | −0.904681 | − | 0.420110i | ||||
\(887\) | 6.19643 | + | 1.23255i | 0.208056 | + | 0.0413848i | 0.298018 | − | 0.954560i | \(-0.403675\pi\) |
−0.0899620 | + | 0.995945i | \(0.528675\pi\) | |||||||
\(888\) | 90.2629 | + | 2.52411i | 3.02902 | + | 0.0847037i | ||||
\(889\) | −2.73834 | − | 13.7666i | −0.0918410 | − | 0.461716i | ||||
\(890\) | −37.6109 | + | 22.9047i | −1.26072 | + | 0.767769i | ||||
\(891\) | −34.6531 | + | 18.5225i | −1.16092 | + | 0.620526i | ||||
\(892\) | −25.2347 | + | 13.9488i | −0.844920 | + | 0.467040i | ||||
\(893\) | 3.57979 | − | 36.3462i | 0.119793 | − | 1.21628i | ||||
\(894\) | 3.37926 | + | 4.48996i | 0.113019 | + | 0.150167i | ||||
\(895\) | −45.8948 | −1.53409 | ||||||||
\(896\) | 11.3137 | − | 0.00246019i | 0.377964 | − | 8.21892e-5i | ||||
\(897\) | −52.6777 | −1.75886 | ||||||||
\(898\) | 13.2741 | + | 17.6371i | 0.442963 | + | 0.588556i | ||||
\(899\) | −0.351087 | + | 3.56464i | −0.0117094 | + | 0.118888i | ||||
\(900\) | 51.5269 | + | 93.2173i | 1.71756 | + | 3.10724i | ||||
\(901\) | −40.7615 | + | 21.7875i | −1.35796 | + | 0.725845i | ||||
\(902\) | −8.10369 | + | 4.93508i | −0.269823 | + | 0.164320i | ||||
\(903\) | 0.321280 | + | 1.61518i | 0.0106915 | + | 0.0537500i | ||||
\(904\) | −25.0947 | + | 23.7294i | −0.834639 | + | 0.789229i | ||||
\(905\) | 3.30026 | + | 0.656463i | 0.109704 | + | 0.0218216i | ||||
\(906\) | −56.4737 | − | 26.2249i | −1.87621 | − | 0.871264i | ||||
\(907\) | 30.3725 | − | 37.0090i | 1.00850 | − | 1.22886i | 0.0351897 | − | 0.999381i | \(-0.488796\pi\) |
0.973313 | − | 0.229483i | \(-0.0737035\pi\) | |||||||
\(908\) | 16.9820 | + | 39.4183i | 0.563567 | + | 1.30814i | ||||
\(909\) | −2.63365 | + | 4.92721i | −0.0873525 | + | 0.163425i | ||||
\(910\) | 16.2135 | − | 18.1441i | 0.537473 | − | 0.601470i | ||||
\(911\) | 5.85538 | + | 14.1361i | 0.193997 | + | 0.468351i | 0.990707 | − | 0.136011i | \(-0.0434282\pi\) |
−0.796710 | + | 0.604362i | \(0.793428\pi\) | |||||||
\(912\) | −73.1631 | − | 27.9174i | −2.42267 | − | 0.924438i | ||||
\(913\) | −0.480150 | + | 1.15918i | −0.0158906 | + | 0.0383634i | ||||
\(914\) | 24.8172 | + | 51.5294i | 0.820881 | + | 1.70444i | ||||
\(915\) | 22.8254 | + | 75.2454i | 0.754585 | + | 2.48753i | ||||
\(916\) | −8.46832 | − | 5.48739i | −0.279801 | − | 0.181308i | ||||
\(917\) | −13.1781 | + | 1.29793i | −0.435179 | + | 0.0428614i | ||||
\(918\) | 152.150 | + | 6.40073i | 5.02169 | + | 0.211256i | ||||
\(919\) | −4.60796 | + | 3.07894i | −0.152003 | + | 0.101565i | −0.629246 | − | 0.777206i | \(-0.716636\pi\) |
0.477243 | + | 0.878771i | \(0.341636\pi\) | |||||||
\(920\) | −28.5230 | − | 3.61685i | −0.940377 | − | 0.119244i | ||||
\(921\) | −60.5376 | + | 90.6009i | −1.99478 | + | 2.98540i | ||||
\(922\) | −4.93693 | + | 0.767901i | −0.162589 | + | 0.0252895i | ||||
\(923\) | 15.8043 | − | 52.0998i | 0.520205 | − | 1.71489i | ||||
\(924\) | 4.54767 | + | 5.38485i | 0.149607 | + | 0.177148i | ||||
\(925\) | 45.5589 | − | 37.3892i | 1.49797 | − | 1.22935i | ||||
\(926\) | −5.95282 | + | 10.0922i | −0.195622 | + | 0.331651i | ||||
\(927\) | 101.477 | − | 101.477i | 3.33295 | − | 3.33295i | ||||
\(928\) | −16.3971 | + | 15.9485i | −0.538263 | + | 0.523535i | ||||
\(929\) | −5.04184 | − | 5.04184i | −0.165417 | − | 0.165417i | 0.619544 | − | 0.784962i | \(-0.287317\pi\) |
−0.784962 | + | 0.619544i | \(0.787317\pi\) | |||||||
\(930\) | −13.8074 | + | 3.56211i | −0.452762 | + | 0.116806i | ||||
\(931\) | −3.66156 | − | 4.46163i | −0.120003 | − | 0.146224i | ||||
\(932\) | 13.3462 | + | 41.8644i | 0.437171 | + | 1.37131i | ||||
\(933\) | −75.1450 | − | 22.7950i | −2.46014 | − | 0.746274i | ||||
\(934\) | 25.2901 | − | 34.6066i | 0.827519 | − | 1.13236i | ||||
\(935\) | 16.7191 | + | 11.1713i | 0.546771 | + | 0.365341i | ||||
\(936\) | −116.978 | − | 39.0875i | −3.82353 | − | 1.27761i | ||||
\(937\) | −11.4676 | − | 17.1625i | −0.374630 | − | 0.560673i | 0.595471 | − | 0.803377i | \(-0.296966\pi\) |
−0.970100 | + | 0.242704i | \(0.921966\pi\) | |||||||
\(938\) | 0.278014 | + | 0.302432i | 0.00907747 | + | 0.00987477i | ||||
\(939\) | 6.48105 | + | 65.8032i | 0.211501 | + | 2.14740i | ||||
\(940\) | 7.69785 | − | 41.7663i | 0.251076 | − | 1.36227i | ||||
\(941\) | 29.4492 | − | 8.93332i | 0.960017 | − | 0.291218i | 0.228885 | − | 0.973454i | \(-0.426492\pi\) |
0.731132 | + | 0.682236i | \(0.238992\pi\) | |||||||
\(942\) | 25.5726 | + | 8.94734i | 0.833199 | + | 0.291520i | ||||
\(943\) | −18.0710 | − | 7.48526i | −0.588473 | − | 0.243754i | ||||
\(944\) | 2.44422 | − | 34.8600i | 0.0795525 | − | 1.13460i | ||||
\(945\) | 57.8904 | − | 23.9790i | 1.88317 | − | 0.780036i | ||||
\(946\) | 0.712276 | − | 0.0400228i | 0.0231581 | − | 0.00130125i | ||||
\(947\) | 25.6638 | + | 13.7176i | 0.833960 | + | 0.445761i | 0.832359 | − | 0.554238i | \(-0.186990\pi\) |
0.00160189 | + | 0.999999i | \(0.499490\pi\) | |||||||
\(948\) | 18.0745 | − | 0.254634i | 0.587032 | − | 0.00827012i | ||||
\(949\) | 6.63374 | + | 5.44417i | 0.215340 | + | 0.176725i | ||||
\(950\) | −48.0012 | + | 17.5574i | −1.55736 | + | 0.569639i | ||||
\(951\) | 3.19360 | − | 16.0553i | 0.103559 | − | 0.520628i | ||||
\(952\) | −2.73380 | − | 16.0809i | −0.0886028 | − | 0.521185i | ||||
\(953\) | −12.4511 | + | 2.47669i | −0.403332 | + | 0.0802278i | −0.392588 | − | 0.919715i | \(-0.628420\pi\) |
−0.0107444 | + | 0.999942i | \(0.503420\pi\) | |||||||
\(954\) | 93.6680 | + | 22.7627i | 3.03261 | + | 0.736969i | ||||
\(955\) | 4.42479 | + | 8.27820i | 0.143183 | + | 0.267876i | ||||
\(956\) | 6.82199 | + | 5.43967i | 0.220639 | + | 0.175931i | ||||
\(957\) | −14.1815 | − | 1.39676i | −0.458423 | − | 0.0451508i | ||||
\(958\) | 41.1253 | + | 5.80462i | 1.32870 | + | 0.187539i | ||||
\(959\) | 0.0537190i | 0.00173468i | ||||||||
\(960\) | −82.0507 | − | 39.4947i | −2.64818 | − | 1.27469i | ||||
\(961\) | 30.2153i | 0.974688i | ||||||||
\(962\) | −9.53815 | + | 67.5770i | −0.307522 | + | 2.17877i | ||||
\(963\) | −65.2313 | − | 6.42473i | −2.10205 | − | 0.207034i | ||||
\(964\) | −28.6365 | + | 3.22836i | −0.922320 | + | 0.103979i | ||||
\(965\) | −36.5556 | − | 68.3908i | −1.17677 | − | 2.20158i | ||||
\(966\) | −3.43116 | + | 14.1191i | −0.110396 | + | 0.454276i | ||||
\(967\) | −9.64241 | + | 1.91800i | −0.310079 | + | 0.0616786i | −0.347677 | − | 0.937614i | \(-0.613029\pi\) |
0.0375978 | + | 0.999293i | \(0.488029\pi\) | |||||||
\(968\) | −23.7572 | + | 14.9307i | −0.763585 | + | 0.479892i | ||||
\(969\) | −22.0261 | + | 110.732i | −0.707579 | + | 3.55724i | ||||
\(970\) | 4.69246 | + | 12.8290i | 0.150666 | + | 0.411913i | ||||
\(971\) | 32.3548 | + | 26.5529i | 1.03831 | + | 0.852122i | 0.989185 | − | 0.146671i | \(-0.0468557\pi\) |
0.0491282 | + | 0.998792i | \(0.484356\pi\) | |||||||
\(972\) | −103.620 | − | 100.741i | −3.32360 | − | 3.23126i | ||||
\(973\) | −7.75740 | − | 4.14642i | −0.248691 | − | 0.132928i | ||||
\(974\) | −3.24947 | − | 57.8302i | −0.104120 | − | 1.85300i | ||||
\(975\) | −100.606 | + | 41.6725i | −3.22198 | + | 1.33459i | ||||
\(976\) | −21.8451 | − | 16.9208i | −0.699245 | − | 0.541623i | ||||
\(977\) | −32.8021 | − | 13.5871i | −1.04943 | − | 0.434689i | −0.209742 | − | 0.977757i | \(-0.567263\pi\) |
−0.839689 | + | 0.543068i | \(0.817263\pi\) | |||||||
\(978\) | −14.7268 | + | 42.0910i | −0.470912 | + | 1.34592i | ||||
\(979\) | 9.22550 | − | 2.79853i | 0.294848 | − | 0.0894413i | ||||
\(980\) | −3.80706 | − | 5.52750i | −0.121612 | − | 0.176569i | ||||
\(981\) | 0.175656 | + | 1.78347i | 0.00560827 | + | 0.0569417i | ||||
\(982\) | 11.3352 | − | 10.4200i | 0.361721 | − | 0.332516i | ||||
\(983\) | 16.9703 | + | 25.3979i | 0.541270 | + | 0.810068i | 0.996782 | − | 0.0801620i | \(-0.0255438\pi\) |
−0.455512 | + | 0.890230i | \(0.650544\pi\) | |||||||
\(984\) | −46.7707 | − | 40.6239i | −1.49100 | − | 1.29504i | ||||
\(985\) | −19.9566 | − | 13.3346i | −0.635870 | − | 0.424874i | ||||
\(986\) | 26.6265 | + | 19.4584i | 0.847961 | + | 0.619681i | ||||
\(987\) | −20.5387 | − | 6.23035i | −0.653754 | − | 0.198314i | ||||
\(988\) | 27.1616 | − | 52.5844i | 0.864126 | − | 1.67293i | ||||
\(989\) | 0.932992 | + | 1.13685i | 0.0296674 | + | 0.0361498i | ||||
\(990\) | −10.4761 | − | 40.6073i | −0.332952 | − | 1.29058i | ||||
\(991\) | −29.7177 | − | 29.7177i | −0.944014 | − | 0.944014i | 0.0544996 | − | 0.998514i | \(-0.482644\pi\) |
−0.998514 | + | 0.0544996i | \(0.982644\pi\) | |||||||
\(992\) | 3.23233 | − | 3.82905i | 0.102627 | − | 0.121573i | ||||
\(993\) | 8.18371 | − | 8.18371i | 0.259702 | − | 0.259702i | ||||
\(994\) | −12.9348 | − | 7.62952i | −0.410268 | − | 0.241994i | ||||
\(995\) | −29.4464 | + | 24.1661i | −0.933514 | + | 0.766115i | ||||
\(996\) | −8.16320 | − | 0.688047i | −0.258661 | − | 0.0218016i | ||||
\(997\) | −2.65135 | + | 8.74033i | −0.0839691 | + | 0.276809i | −0.988863 | − | 0.148828i | \(-0.952450\pi\) |
0.904894 | + | 0.425637i | \(0.139950\pi\) | |||||||
\(998\) | −1.40127 | − | 9.00894i | −0.0443564 | − | 0.285173i | ||||
\(999\) | −97.6383 | + | 146.126i | −3.08914 | + | 4.62323i |
(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 | 896.2.bn.b.29.10 | ✓ | 784 | |
128.53 | even | 32 | inner | 896.2.bn.b.309.10 | yes | 784 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
896.2.bn.b.29.10 | ✓ | 784 | 1.1 | even | 1 | trivial | |
896.2.bn.b.309.10 | yes | 784 | 128.53 | even | 32 | inner |