Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.6 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.17690 | + | 0.583298i | −1.53930 | + | 0.412454i | −0.926040 | − | 0.377427i | \(-0.876809\pi\) |
−0.613261 | + | 0.789881i | \(0.710142\pi\) | |||||||
\(3\) | −0.853583 | + | 1.50712i | −0.492816 | + | 0.870133i | ||||
\(4\) | 2.66660 | − | 1.53956i | 1.33330 | − | 0.769782i | ||||
\(5\) | −2.19471 | + | 0.428081i | −0.981504 | + | 0.191444i | ||||
\(6\) | 0.979065 | − | 3.77873i | 0.399702 | − | 1.54266i | ||||
\(7\) | −1.03156 | + | 2.43637i | −0.389892 | + | 0.920861i | ||||
\(8\) | −1.71970 | + | 1.71970i | −0.608004 | + | 0.608004i | ||||
\(9\) | −1.54279 | − | 2.57289i | −0.514264 | − | 0.857632i | ||||
\(10\) | 4.52796 | − | 2.21206i | 1.43187 | − | 0.699515i | ||||
\(11\) | −3.29269 | −0.992784 | −0.496392 | − | 0.868098i | \(-0.665342\pi\) | ||||
−0.496392 | + | 0.868098i | \(0.665342\pi\) | |||||||
\(12\) | 0.0441345 | + | 5.33302i | 0.0127405 | + | 1.53951i | ||||
\(13\) | 0.912453 | − | 0.244491i | 0.253069 | − | 0.0678096i | −0.130054 | − | 0.991507i | \(-0.541515\pi\) |
0.383123 | + | 0.923697i | \(0.374848\pi\) | |||||||
\(14\) | 0.824467 | − | 5.90543i | 0.220348 | − | 1.57829i | ||||
\(15\) | 1.22820 | − | 3.67308i | 0.317119 | − | 0.948386i | ||||
\(16\) | −0.338617 | + | 0.586502i | −0.0846542 | + | 0.146625i | ||||
\(17\) | 0.0804390 | + | 0.300203i | 0.0195093 | + | 0.0728098i | 0.974994 | − | 0.222230i | \(-0.0713337\pi\) |
−0.955485 | + | 0.295040i | \(0.904667\pi\) | |||||||
\(18\) | 4.85927 | + | 4.70102i | 1.14534 | + | 1.10804i | ||||
\(19\) | −1.54271 | − | 2.67206i | −0.353923 | − | 0.613013i | 0.633010 | − | 0.774144i | \(-0.281819\pi\) |
−0.986933 | + | 0.161131i | \(0.948486\pi\) | |||||||
\(20\) | −5.19336 | + | 4.52042i | −1.16127 | + | 1.01080i | ||||
\(21\) | −2.79137 | − | 3.63432i | −0.609126 | − | 0.793073i | ||||
\(22\) | 7.16786 | − | 1.92062i | 1.52819 | − | 0.409478i | ||||
\(23\) | −2.21081 | + | 2.21081i | −0.460985 | + | 0.460985i | −0.898978 | − | 0.437993i | \(-0.855689\pi\) |
0.437993 | + | 0.898978i | \(0.355689\pi\) | |||||||
\(24\) | −1.12388 | − | 4.05968i | −0.229411 | − | 0.828679i | ||||
\(25\) | 4.63349 | − | 1.87903i | 0.926699 | − | 0.375806i | ||||
\(26\) | −1.84371 | + | 1.06446i | −0.361581 | + | 0.208759i | ||||
\(27\) | 5.19455 | − | 0.128989i | 0.999692 | − | 0.0248240i | ||||
\(28\) | 1.00019 | + | 8.08497i | 0.189018 | + | 1.52792i | ||||
\(29\) | 6.77003 | − | 3.90868i | 1.25716 | − | 0.725824i | 0.284642 | − | 0.958634i | \(-0.408125\pi\) |
0.972522 | + | 0.232810i | \(0.0747920\pi\) | |||||||
\(30\) | −0.531159 | + | 8.71233i | −0.0969758 | + | 1.59065i | ||||
\(31\) | 5.12867 | − | 2.96104i | 0.921136 | − | 0.531818i | 0.0371389 | − | 0.999310i | \(-0.488176\pi\) |
0.883997 | + | 0.467492i | \(0.154842\pi\) | |||||||
\(32\) | 1.65393 | − | 6.17257i | 0.292377 | − | 1.09117i | ||||
\(33\) | 2.81059 | − | 4.96247i | 0.489260 | − | 0.863855i | ||||
\(34\) | −0.350215 | − | 0.606591i | −0.0600614 | − | 0.104029i | ||||
\(35\) | 1.22100 | − | 5.78871i | 0.206387 | − | 0.978470i | ||||
\(36\) | −8.07515 | − | 4.48566i | −1.34586 | − | 0.747610i | ||||
\(37\) | 0.512674 | − | 1.91332i | 0.0842831 | − | 0.314549i | −0.910894 | − | 0.412640i | \(-0.864607\pi\) |
0.995177 | + | 0.0980909i | \(0.0312736\pi\) | |||||||
\(38\) | 4.91694 | + | 4.91694i | 0.797633 | + | 0.797633i | ||||
\(39\) | −0.410378 | + | 1.58387i | −0.0657130 | + | 0.253621i | ||||
\(40\) | 3.03806 | − | 4.51040i | 0.480360 | − | 0.713157i | ||||
\(41\) | 7.63428 | + | 4.40765i | 1.19227 | + | 0.688360i | 0.958822 | − | 0.284008i | \(-0.0916644\pi\) |
0.233452 | + | 0.972368i | \(0.424998\pi\) | |||||||
\(42\) | 8.19642 | + | 6.28334i | 1.26473 | + | 0.969541i | ||||
\(43\) | −11.5056 | − | 3.08290i | −1.75458 | − | 0.470138i | −0.768986 | − | 0.639266i | \(-0.779238\pi\) |
−0.985594 | + | 0.169127i | \(0.945905\pi\) | |||||||
\(44\) | −8.78030 | + | 5.06931i | −1.32368 | + | 0.764227i | ||||
\(45\) | 4.48739 | + | 4.98631i | 0.668941 | + | 0.743316i | ||||
\(46\) | 3.52315 | − | 6.10227i | 0.519460 | − | 0.899730i | ||||
\(47\) | 0.420632 | + | 1.56982i | 0.0613555 | + | 0.228982i | 0.989794 | − | 0.142504i | \(-0.0455153\pi\) |
−0.928439 | + | 0.371485i | \(0.878849\pi\) | |||||||
\(48\) | −0.594888 | − | 1.01096i | −0.0858647 | − | 0.145920i | ||||
\(49\) | −4.87178 | − | 5.02651i | −0.695968 | − | 0.718072i | ||||
\(50\) | −8.99061 | + | 6.79316i | −1.27146 | + | 0.960698i | ||||
\(51\) | −0.521101 | − | 0.135017i | −0.0729688 | − | 0.0189061i | ||||
\(52\) | 2.05674 | − | 2.05674i | 0.285218 | − | 0.285218i | ||||
\(53\) | −3.62496 | − | 13.5285i | −0.497927 | − | 1.85829i | −0.512978 | − | 0.858402i | \(-0.671458\pi\) |
0.0150511 | − | 0.999887i | \(-0.495209\pi\) | |||||||
\(54\) | −11.2328 | + | 3.31077i | −1.52859 | + | 0.450539i | ||||
\(55\) | 7.22650 | − | 1.40954i | 0.974421 | − | 0.190062i | ||||
\(56\) | −2.41585 | − | 5.96378i | −0.322831 | − | 0.796943i | ||||
\(57\) | 5.34394 | − | 0.0442248i | 0.707822 | − | 0.00585772i | ||||
\(58\) | −12.4578 | + | 12.4578i | −1.63578 | + | 1.63578i | ||||
\(59\) | 2.53402 | + | 4.38905i | 0.329901 | + | 0.571406i | 0.982492 | − | 0.186305i | \(-0.0596511\pi\) |
−0.652591 | + | 0.757711i | \(0.726318\pi\) | |||||||
\(60\) | −2.37983 | − | 11.6855i | −0.307235 | − | 1.50860i | ||||
\(61\) | −0.109553 | − | 0.0632506i | −0.0140269 | − | 0.00809841i | 0.492970 | − | 0.870046i | \(-0.335911\pi\) |
−0.506997 | + | 0.861948i | \(0.669244\pi\) | |||||||
\(62\) | −9.43743 | + | 9.43743i | −1.19855 | + | 1.19855i | ||||
\(63\) | 7.86000 | − | 1.10472i | 0.990267 | − | 0.139182i | ||||
\(64\) | 13.0473i | 1.63092i | ||||||||
\(65\) | −1.89791 | + | 0.927191i | −0.235406 | + | 0.115004i | ||||
\(66\) | −3.22376 | + | 12.4422i | −0.396818 | + | 1.53153i | ||||
\(67\) | 0.0360739 | − | 0.134630i | 0.00440713 | − | 0.0164476i | −0.963687 | − | 0.267033i | \(-0.913957\pi\) |
0.968094 | + | 0.250586i | \(0.0806232\pi\) | |||||||
\(68\) | 0.676680 | + | 0.676680i | 0.0820595 | + | 0.0820595i | ||||
\(69\) | −1.44484 | − | 5.21905i | −0.173938 | − | 0.628300i | ||||
\(70\) | 0.718541 | + | 13.3136i | 0.0858821 | + | 1.59128i | ||||
\(71\) | −15.0155 | −1.78201 | −0.891007 | − | 0.453989i | \(-0.850000\pi\) | ||||
−0.891007 | + | 0.453989i | \(0.850000\pi\) | |||||||
\(72\) | 7.07773 | + | 1.77146i | 0.834119 | + | 0.208769i | ||||
\(73\) | −11.4871 | + | 3.07795i | −1.34446 | + | 0.360247i | −0.858088 | − | 0.513503i | \(-0.828347\pi\) |
−0.486374 | + | 0.873751i | \(0.661681\pi\) | |||||||
\(74\) | 4.46416i | 0.518948i | ||||||||
\(75\) | −1.12316 | + | 8.58711i | −0.129691 | + | 0.991554i | ||||
\(76\) | −8.22761 | − | 4.75021i | −0.943772 | − | 0.544887i | ||||
\(77\) | 3.39660 | − | 8.02221i | 0.387079 | − | 0.914216i | ||||
\(78\) | −0.0305149 | − | 3.68729i | −0.00345513 | − | 0.417503i | ||||
\(79\) | −5.17515 | − | 2.98787i | −0.582250 | − | 0.336162i | 0.179777 | − | 0.983707i | \(-0.442462\pi\) |
−0.762027 | + | 0.647545i | \(0.775796\pi\) | |||||||
\(80\) | 0.492095 | − | 1.43216i | 0.0550179 | − | 0.160120i | ||||
\(81\) | −4.23958 | + | 7.93889i | −0.471064 | + | 0.882099i | ||||
\(82\) | −19.1900 | − | 5.14195i | −2.11918 | − | 0.567834i | ||||
\(83\) | −1.35736 | + | 5.06575i | −0.148990 | + | 0.556038i | 0.850555 | + | 0.525886i | \(0.176266\pi\) |
−0.999545 | + | 0.0301527i | \(0.990401\pi\) | |||||||
\(84\) | −13.0387 | − | 5.39379i | −1.42264 | − | 0.588511i | ||||
\(85\) | −0.305051 | − | 0.624423i | −0.0330875 | − | 0.0677281i | ||||
\(86\) | 26.8447 | 2.89474 | ||||||||
\(87\) | 0.112050 | + | 13.5396i | 0.0120130 | + | 1.45160i | ||||
\(88\) | 5.66243 | − | 5.66243i | 0.603617 | − | 0.603617i | ||||
\(89\) | 1.62147 | + | 2.80848i | 0.171876 | + | 0.297698i | 0.939076 | − | 0.343710i | \(-0.111684\pi\) |
−0.767200 | + | 0.641408i | \(0.778351\pi\) | |||||||
\(90\) | −12.6771 | − | 8.23721i | −1.33628 | − | 0.868279i | ||||
\(91\) | −0.345577 | + | 2.47528i | −0.0362264 | + | 0.259480i | ||||
\(92\) | −2.49167 | + | 9.29902i | −0.259774 | + | 0.969490i | ||||
\(93\) | 0.0848837 | + | 10.2570i | 0.00880203 | + | 1.06360i | ||||
\(94\) | −1.83135 | − | 3.17199i | −0.188889 | − | 0.327165i | ||||
\(95\) | 4.52967 | + | 5.20399i | 0.464734 | + | 0.533918i | ||||
\(96\) | 7.89100 | + | 7.76147i | 0.805372 | + | 0.792151i | ||||
\(97\) | 6.01192 | + | 1.61089i | 0.610418 | + | 0.163561i | 0.550768 | − | 0.834658i | \(-0.314335\pi\) |
0.0596498 | + | 0.998219i | \(0.481002\pi\) | |||||||
\(98\) | 13.5373 | + | 8.10050i | 1.36748 | + | 0.818274i | ||||
\(99\) | 5.07994 | + | 8.47175i | 0.510554 | + | 0.851443i | ||||
\(100\) | 9.46280 | − | 12.1442i | 0.946280 | − | 1.21442i | ||||
\(101\) | − | 9.31908i | − | 0.927283i | −0.886023 | − | 0.463642i | \(-0.846543\pi\) | ||
0.886023 | − | 0.463642i | \(-0.153457\pi\) | |||||||
\(102\) | 1.21314 | − | 0.0100396i | 0.120119 | − | 0.000994067i | ||||
\(103\) | −8.68494 | − | 8.68494i | −0.855752 | − | 0.855752i | 0.135082 | − | 0.990834i | \(-0.456870\pi\) |
−0.990834 | + | 0.135082i | \(0.956870\pi\) | |||||||
\(104\) | −1.14869 | + | 1.98959i | −0.112638 | + | 0.195096i | ||||
\(105\) | 7.68202 | + | 6.78134i | 0.749689 | + | 0.661791i | ||||
\(106\) | 15.7824 | + | 27.3358i | 1.53292 | + | 2.65509i | ||||
\(107\) | 3.97673 | − | 14.8414i | 0.384445 | − | 1.43477i | −0.454595 | − | 0.890698i | \(-0.650216\pi\) |
0.839040 | − | 0.544069i | \(-0.183117\pi\) | |||||||
\(108\) | 13.6532 | − | 8.34130i | 1.31378 | − | 0.802642i | ||||
\(109\) | −6.94712 | − | 4.01092i | −0.665413 | − | 0.384177i | 0.128923 | − | 0.991655i | \(-0.458848\pi\) |
−0.794336 | + | 0.607478i | \(0.792181\pi\) | |||||||
\(110\) | −14.9092 | + | 7.28363i | −1.42153 | + | 0.694467i | ||||
\(111\) | 2.44599 | + | 2.40584i | 0.232163 | + | 0.228352i | ||||
\(112\) | −1.07963 | − | 1.43001i | −0.102016 | − | 0.135123i | ||||
\(113\) | −2.11749 | − | 7.90258i | −0.199197 | − | 0.743412i | −0.991140 | − | 0.132818i | \(-0.957597\pi\) |
0.791944 | − | 0.610594i | \(-0.209069\pi\) | |||||||
\(114\) | −11.6074 | + | 3.21338i | −1.08713 | + | 0.300961i | ||||
\(115\) | 3.90567 | − | 5.79849i | 0.364206 | − | 0.540712i | ||||
\(116\) | 12.0353 | − | 20.8458i | 1.11745 | − | 1.93548i | ||||
\(117\) | −2.03678 | − | 1.97045i | −0.188300 | − | 0.182168i | ||||
\(118\) | −8.07644 | − | 8.07644i | −0.743496 | − | 0.743496i | ||||
\(119\) | −0.814381 | − | 0.113697i | −0.0746542 | − | 0.0104226i | ||||
\(120\) | 4.20446 | + | 8.42871i | 0.383813 | + | 0.769433i | ||||
\(121\) | −0.158174 | −0.0143795 | ||||||||
\(122\) | 0.275380 | + | 0.0737879i | 0.0249318 | + | 0.00668044i | ||||
\(123\) | −13.1593 | + | 7.74344i | −1.18654 | + | 0.698203i | ||||
\(124\) | 9.11741 | − | 15.7918i | 0.818768 | − | 1.41815i | ||||
\(125\) | −9.36479 | + | 6.10743i | −0.837612 | + | 0.546265i | ||||
\(126\) | −16.4660 | + | 6.98960i | −1.46691 | + | 0.622683i | ||||
\(127\) | 8.59733 | + | 8.59733i | 0.762890 | + | 0.762890i | 0.976844 | − | 0.213954i | \(-0.0686342\pi\) |
−0.213954 | + | 0.976844i | \(0.568634\pi\) | |||||||
\(128\) | −4.30261 | − | 16.0576i | −0.380301 | − | 1.41930i | ||||
\(129\) | 14.4672 | − | 14.7087i | 1.27377 | − | 1.29503i | ||||
\(130\) | 3.59072 | − | 3.12545i | 0.314927 | − | 0.274120i | ||||
\(131\) | − | 7.04338i | − | 0.615383i | −0.951486 | − | 0.307692i | \(-0.900443\pi\) | ||
0.951486 | − | 0.307692i | \(-0.0995565\pi\) | |||||||
\(132\) | −0.145321 | − | 17.5600i | −0.0126486 | − | 1.52840i | ||||
\(133\) | 8.10152 | − | 1.00224i | 0.702491 | − | 0.0869050i | ||||
\(134\) | 0.314117i | 0.0271356i | ||||||||
\(135\) | −11.3453 | + | 2.50678i | −0.976449 | + | 0.215750i | ||||
\(136\) | −0.654588 | − | 0.377927i | −0.0561305 | − | 0.0324069i | ||||
\(137\) | −5.40721 | − | 5.40721i | −0.461969 | − | 0.461969i | 0.437331 | − | 0.899301i | \(-0.355924\pi\) |
−0.899301 | + | 0.437331i | \(0.855924\pi\) | |||||||
\(138\) | 6.18953 | + | 10.5186i | 0.526887 | + | 0.895401i | ||||
\(139\) | 6.38747 | − | 11.0634i | 0.541778 | − | 0.938388i | −0.457024 | − | 0.889454i | \(-0.651085\pi\) |
0.998802 | − | 0.0489331i | \(-0.0155821\pi\) | |||||||
\(140\) | −5.65615 | − | 17.3160i | −0.478032 | − | 1.46347i | ||||
\(141\) | −2.72494 | − | 0.706030i | −0.229482 | − | 0.0594585i | ||||
\(142\) | 32.6873 | − | 8.75853i | 2.74305 | − | 0.734999i | ||||
\(143\) | −3.00443 | + | 0.805034i | −0.251243 | + | 0.0673203i | ||||
\(144\) | 2.03142 | − | 0.0336252i | 0.169285 | − | 0.00280210i | ||||
\(145\) | −13.1850 | + | 11.4765i | −1.09496 | + | 0.953075i | ||||
\(146\) | 23.2109 | − | 13.4008i | 1.92094 | − | 1.10906i | ||||
\(147\) | 11.7340 | − | 3.05179i | 0.967803 | − | 0.251708i | ||||
\(148\) | −1.57859 | − | 5.89137i | −0.129759 | − | 0.484267i | ||||
\(149\) | 3.75146i | 0.307332i | 0.988123 | + | 0.153666i | \(0.0491080\pi\) | ||||
−0.988123 | + | 0.153666i | \(0.950892\pi\) | |||||||
\(150\) | −2.56385 | − | 19.3484i | −0.209337 | − | 1.57979i | ||||
\(151\) | −2.10729 | −0.171489 | −0.0857446 | − | 0.996317i | \(-0.527327\pi\) | ||||
−0.0857446 | + | 0.996317i | \(0.527327\pi\) | |||||||
\(152\) | 7.24813 | + | 1.94213i | 0.587901 | + | 0.157528i | ||||
\(153\) | 0.648289 | − | 0.670112i | 0.0524110 | − | 0.0541753i | ||||
\(154\) | −2.71472 | + | 19.4448i | −0.218758 | + | 1.56690i | ||||
\(155\) | −9.98837 | + | 8.69411i | −0.802285 | + | 0.698327i | ||||
\(156\) | 1.34415 | + | 4.85534i | 0.107618 | + | 0.388738i | ||||
\(157\) | −9.07319 | − | 2.43115i | −0.724120 | − | 0.194027i | −0.122111 | − | 0.992517i | \(-0.538966\pi\) |
−0.602009 | + | 0.798489i | \(0.705633\pi\) | |||||||
\(158\) | 13.0086 | + | 3.48564i | 1.03491 | + | 0.277303i | ||||
\(159\) | 23.4833 | + | 6.08449i | 1.86235 | + | 0.482532i | ||||
\(160\) | −0.987543 | + | 14.2550i | −0.0780721 | + | 1.12696i | ||||
\(161\) | −3.10577 | − | 7.66692i | −0.244769 | − | 0.604238i | ||||
\(162\) | 4.59839 | − | 19.7551i | 0.361284 | − | 1.55211i | ||||
\(163\) | 17.4212 | + | 4.66800i | 1.36453 | + | 0.365626i | 0.865479 | − | 0.500945i | \(-0.167014\pi\) |
0.499054 | + | 0.866571i | \(0.333681\pi\) | |||||||
\(164\) | 27.1434 | 2.11955 | ||||||||
\(165\) | −4.04408 | + | 12.0943i | −0.314831 | + | 0.941542i | ||||
\(166\) | − | 11.8194i | − | 0.917361i | ||||||
\(167\) | 2.85112 | + | 10.6405i | 0.220626 | + | 0.823388i | 0.984110 | + | 0.177561i | \(0.0568206\pi\) |
−0.763484 | + | 0.645827i | \(0.776513\pi\) | |||||||
\(168\) | 11.0502 | + | 1.44962i | 0.852544 | + | 0.111840i | ||||
\(169\) | −10.4855 | + | 6.05383i | −0.806580 | + | 0.465679i | ||||
\(170\) | 1.02829 | + | 1.18137i | 0.0788663 | + | 0.0906069i | ||||
\(171\) | −4.49484 | + | 8.09168i | −0.343729 | + | 0.618786i | ||||
\(172\) | −35.4270 | + | 9.49265i | −2.70129 | + | 0.723808i | ||||
\(173\) | 9.08275 | − | 2.43371i | 0.690548 | − | 0.185032i | 0.103555 | − | 0.994624i | \(-0.466978\pi\) |
0.586993 | + | 0.809592i | \(0.300312\pi\) | |||||||
\(174\) | −8.14155 | − | 29.4090i | −0.617209 | − | 2.22949i | ||||
\(175\) | −0.201710 | + | 13.2272i | −0.0152478 | + | 0.999884i | ||||
\(176\) | 1.11496 | − | 1.93117i | 0.0840434 | − | 0.145567i | ||||
\(177\) | −8.77781 | + | 0.0726425i | −0.659780 | + | 0.00546014i | ||||
\(178\) | −5.16797 | − | 5.16797i | −0.387355 | − | 0.387355i | ||||
\(179\) | 9.79325 | + | 5.65413i | 0.731982 | + | 0.422610i | 0.819147 | − | 0.573584i | \(-0.194447\pi\) |
−0.0871650 | + | 0.996194i | \(0.527781\pi\) | |||||||
\(180\) | 19.6428 | + | 6.38789i | 1.46409 | + | 0.476125i | ||||
\(181\) | − | 10.4544i | − | 0.777070i | −0.921434 | − | 0.388535i | \(-0.872981\pi\) | ||
0.921434 | − | 0.388535i | \(-0.127019\pi\) | |||||||
\(182\) | −0.691538 | − | 5.59000i | −0.0512602 | − | 0.414359i | ||||
\(183\) | 0.188839 | − | 0.111120i | 0.0139594 | − | 0.00821421i | ||||
\(184\) | − | 7.60384i | − | 0.560562i | ||||||
\(185\) | −0.306111 | + | 4.41866i | −0.0225057 | + | 0.324866i | ||||
\(186\) | −6.16767 | − | 22.2789i | −0.452235 | − | 1.63357i | ||||
\(187\) | −0.264861 | − | 0.988475i | −0.0193686 | − | 0.0722844i | ||||
\(188\) | 3.53850 | + | 3.53850i | 0.258071 | + | 0.258071i | ||||
\(189\) | −5.04421 | + | 12.7889i | −0.366912 | + | 0.930255i | ||||
\(190\) | −12.8961 | − | 8.68641i | −0.935582 | − | 0.630178i | ||||
\(191\) | −10.0745 | + | 17.4495i | −0.728965 | + | 1.26260i | 0.228356 | + | 0.973578i | \(0.426665\pi\) |
−0.957321 | + | 0.289027i | \(0.906668\pi\) | |||||||
\(192\) | −19.6638 | − | 11.1370i | −1.41911 | − | 0.803742i | ||||
\(193\) | 0.284483 | + | 0.0762269i | 0.0204775 | + | 0.00548693i | 0.269043 | − | 0.963128i | \(-0.413293\pi\) |
−0.248566 | + | 0.968615i | \(0.579959\pi\) | |||||||
\(194\) | −14.0270 | −1.00708 | ||||||||
\(195\) | 0.222636 | − | 3.65180i | 0.0159433 | − | 0.261511i | ||||
\(196\) | −20.7297 | − | 5.90328i | −1.48069 | − | 0.421663i | ||||
\(197\) | −17.5874 | − | 17.5874i | −1.25305 | − | 1.25305i | −0.954346 | − | 0.298703i | \(-0.903446\pi\) |
−0.298703 | − | 0.954346i | \(-0.596554\pi\) | |||||||
\(198\) | −16.0001 | − | 15.4790i | −1.13708 | − | 1.10005i | ||||
\(199\) | −1.27180 | + | 2.20282i | −0.0901553 | + | 0.156154i | −0.907576 | − | 0.419887i | \(-0.862070\pi\) |
0.817421 | + | 0.576041i | \(0.195403\pi\) | |||||||
\(200\) | −4.73684 | + | 11.1996i | −0.334945 | + | 0.791928i | ||||
\(201\) | 0.172110 | + | 0.169285i | 0.0121397 | + | 0.0119405i | ||||
\(202\) | 5.43580 | + | 20.2867i | 0.382462 | + | 1.42737i | ||||
\(203\) | 2.53931 | + | 20.5263i | 0.178224 | + | 1.44067i | ||||
\(204\) | −1.59744 | + | 0.442232i | −0.111843 | + | 0.0309625i | ||||
\(205\) | −18.6419 | − | 6.40542i | −1.30200 | − | 0.447374i | ||||
\(206\) | 23.9721 | + | 13.8403i | 1.67022 | + | 0.964301i | ||||
\(207\) | 9.09900 | + | 2.27736i | 0.632424 | + | 0.158287i | ||||
\(208\) | −0.165578 | + | 0.617944i | −0.0114807 | + | 0.0428467i | ||||
\(209\) | 5.07969 | + | 8.79827i | 0.351369 | + | 0.608589i | ||||
\(210\) | −20.6785 | − | 10.2814i | −1.42695 | − | 0.709482i | ||||
\(211\) | −1.19920 | + | 2.07707i | −0.0825563 | + | 0.142992i | −0.904347 | − | 0.426797i | \(-0.859642\pi\) |
0.821791 | + | 0.569789i | \(0.192975\pi\) | |||||||
\(212\) | −30.4944 | − | 30.4944i | −2.09436 | − | 2.09436i | ||||
\(213\) | 12.8170 | − | 22.6301i | 0.878205 | − | 1.55059i | ||||
\(214\) | 34.6277i | 2.36710i | ||||||||
\(215\) | 26.5711 | + | 1.84076i | 1.81213 | + | 0.125539i | ||||
\(216\) | −8.71123 | + | 9.15487i | −0.592724 | + | 0.622910i | ||||
\(217\) | 1.92366 | + | 15.5498i | 0.130587 | + | 1.05559i | ||||
\(218\) | 17.4627 | + | 4.67913i | 1.18273 | + | 0.316910i | ||||
\(219\) | 5.16634 | − | 19.9396i | 0.349109 | − | 1.34740i | ||||
\(220\) | 17.1001 | − | 14.8843i | 1.15289 | − | 1.00350i | ||||
\(221\) | 0.146794 | + | 0.254254i | 0.00987441 | + | 0.0171030i | ||||
\(222\) | −6.72800 | − | 3.81053i | −0.451554 | − | 0.255746i | ||||
\(223\) | 4.64712 | − | 17.3433i | 0.311194 | − | 1.16139i | −0.616287 | − | 0.787522i | \(-0.711364\pi\) |
0.927481 | − | 0.373870i | \(-0.121970\pi\) | |||||||
\(224\) | 13.3325 | + | 10.3970i | 0.890816 | + | 0.694676i | ||||
\(225\) | −11.9831 | − | 9.02254i | −0.798871 | − | 0.601503i | ||||
\(226\) | 9.21913 | + | 15.9680i | 0.613247 | + | 1.06218i | ||||
\(227\) | −16.6328 | + | 16.6328i | −1.10396 | + | 1.10396i | −0.110027 | + | 0.993929i | \(0.535094\pi\) |
−0.993929 | + | 0.110027i | \(0.964906\pi\) | |||||||
\(228\) | 14.1821 | − | 8.34526i | 0.939230 | − | 0.552678i | ||||
\(229\) | −0.278947 | −0.0184333 | −0.00921666 | − | 0.999958i | \(-0.502934\pi\) | ||||
−0.00921666 | + | 0.999958i | \(0.502934\pi\) | |||||||
\(230\) | −5.12001 | + | 14.9009i | −0.337604 | + | 0.982536i | ||||
\(231\) | 9.19112 | + | 11.9667i | 0.604731 | + | 0.787350i | ||||
\(232\) | −4.92066 | + | 18.3641i | −0.323057 | + | 1.20567i | ||||
\(233\) | 11.3788 | + | 3.04895i | 0.745451 | + | 0.199743i | 0.611500 | − | 0.791245i | \(-0.290567\pi\) |
0.133952 | + | 0.990988i | \(0.457233\pi\) | |||||||
\(234\) | 5.58321 | + | 3.10141i | 0.364986 | + | 0.202746i | ||||
\(235\) | −1.59518 | − | 3.26523i | −0.104058 | − | 0.213000i | ||||
\(236\) | 13.5144 | + | 7.80257i | 0.879716 | + | 0.507904i | ||||
\(237\) | 8.92049 | − | 5.24915i | 0.579448 | − | 0.340969i | ||||
\(238\) | 1.83915 | − | 0.227520i | 0.119214 | − | 0.0147479i | ||||
\(239\) | −1.86540 | − | 1.07699i | −0.120663 | − | 0.0696648i | 0.438454 | − | 0.898754i | \(-0.355526\pi\) |
−0.559117 | + | 0.829089i | \(0.688860\pi\) | |||||||
\(240\) | 1.73838 | + | 1.96411i | 0.112212 | + | 0.126783i | ||||
\(241\) | 12.9153i | 0.831945i | 0.909377 | + | 0.415972i | \(0.136559\pi\) | ||||
−0.909377 | + | 0.415972i | \(0.863441\pi\) | |||||||
\(242\) | 0.344329 | − | 0.0922628i | 0.0221343 | − | 0.00593088i | ||||
\(243\) | −8.34599 | − | 13.1660i | −0.535396 | − | 0.844601i | ||||
\(244\) | −0.389513 | −0.0249360 | ||||||||
\(245\) | 12.8439 | + | 8.94620i | 0.820566 | + | 0.571552i | ||||
\(246\) | 24.1298 | − | 24.5325i | 1.53846 | − | 1.56414i | ||||
\(247\) | −2.06095 | − | 2.06095i | −0.131135 | − | 0.131135i | ||||
\(248\) | −3.72767 | + | 13.9118i | −0.236707 | + | 0.883403i | ||||
\(249\) | −6.47605 | − | 6.36974i | −0.410403 | − | 0.403666i | ||||
\(250\) | 16.8237 | − | 18.7577i | 1.06403 | − | 1.18634i | ||||
\(251\) | − | 11.6722i | − | 0.736740i | −0.929679 | − | 0.368370i | \(-0.879916\pi\) | ||
0.929679 | − | 0.368370i | \(-0.120084\pi\) | |||||||
\(252\) | 19.2587 | − | 15.0468i | 1.21318 | − | 0.947861i | ||||
\(253\) | 7.27951 | − | 7.27951i | 0.457659 | − | 0.457659i | ||||
\(254\) | −23.7303 | − | 13.7007i | −1.48897 | − | 0.859659i | ||||
\(255\) | 1.20146 | + | 0.0732488i | 0.0752386 | + | 0.00458701i | ||||
\(256\) | 5.68539 | + | 9.84738i | 0.355337 | + | 0.615461i | ||||
\(257\) | 14.6656 | − | 14.6656i | 0.914818 | − | 0.914818i | −0.0818285 | − | 0.996646i | \(-0.526076\pi\) |
0.996646 | + | 0.0818285i | \(0.0260760\pi\) | |||||||
\(258\) | −22.9141 | + | 40.4580i | −1.42657 | + | 2.51881i | ||||
\(259\) | 4.13271 | + | 3.22277i | 0.256794 | + | 0.200253i | ||||
\(260\) | −3.63349 | + | 5.39439i | −0.225340 | + | 0.334546i | ||||
\(261\) | −20.5014 | − | 11.3883i | −1.26900 | − | 0.704918i | ||||
\(262\) | 4.10839 | + | 15.3327i | 0.253817 | + | 0.947259i | ||||
\(263\) | 4.70741 | − | 4.70741i | 0.290272 | − | 0.290272i | −0.546916 | − | 0.837188i | \(-0.684198\pi\) |
0.837188 | + | 0.546916i | \(0.184198\pi\) | |||||||
\(264\) | 3.70058 | + | 13.3673i | 0.227755 | + | 0.822700i | ||||
\(265\) | 13.7471 | + | 28.1394i | 0.844475 | + | 1.72859i | ||||
\(266\) | −17.0516 | + | 6.90737i | −1.04550 | + | 0.423518i | ||||
\(267\) | −5.61676 | + | 0.0464826i | −0.343740 | + | 0.00284469i | ||||
\(268\) | −0.111076 | − | 0.414542i | −0.00678506 | − | 0.0253222i | ||||
\(269\) | −0.813850 | + | 1.40963i | −0.0496213 | + | 0.0859466i | −0.889769 | − | 0.456411i | \(-0.849135\pi\) |
0.840148 | + | 0.542357i | \(0.182468\pi\) | |||||||
\(270\) | 23.2354 | − | 12.0747i | 1.41406 | − | 0.734844i | ||||
\(271\) | −16.4017 | + | 9.46951i | −0.996330 | + | 0.575231i | −0.907160 | − | 0.420785i | \(-0.861755\pi\) |
−0.0891697 | + | 0.996016i | \(0.528421\pi\) | |||||||
\(272\) | −0.203307 | − | 0.0544760i | −0.0123273 | − | 0.00330310i | ||||
\(273\) | −3.43555 | − | 2.63368i | −0.207929 | − | 0.159398i | ||||
\(274\) | 14.9250 | + | 8.61694i | 0.901651 | + | 0.520568i | ||||
\(275\) | −15.2567 | + | 6.18706i | −0.920012 | + | 0.373094i | ||||
\(276\) | −11.8879 | − | 11.6927i | −0.715565 | − | 0.703819i | ||||
\(277\) | −19.1998 | − | 19.1998i | −1.15360 | − | 1.15360i | −0.985825 | − | 0.167777i | \(-0.946341\pi\) |
−0.167777 | − | 0.985825i | \(-0.553659\pi\) | |||||||
\(278\) | −7.45160 | + | 27.8098i | −0.446917 | + | 1.66792i | ||||
\(279\) | −15.5309 | − | 8.62726i | −0.929812 | − | 0.516500i | ||||
\(280\) | 7.85506 | + | 12.0546i | 0.469430 | + | 0.720399i | ||||
\(281\) | −2.99639 | − | 5.18990i | −0.178750 | − | 0.309603i | 0.762703 | − | 0.646749i | \(-0.223872\pi\) |
−0.941453 | + | 0.337146i | \(0.890539\pi\) | |||||||
\(282\) | 6.34375 | − | 0.0524990i | 0.377765 | − | 0.00312627i | ||||
\(283\) | −7.58299 | + | 28.3001i | −0.450762 | + | 1.68227i | 0.249496 | + | 0.968376i | \(0.419735\pi\) |
−0.700258 | + | 0.713890i | \(0.746932\pi\) | |||||||
\(284\) | −40.0404 | + | 23.1173i | −2.37596 | + | 1.37176i | ||||
\(285\) | −11.7095 | + | 2.38470i | −0.693608 | + | 0.141257i | ||||
\(286\) | 6.07076 | − | 3.50495i | 0.358972 | − | 0.207252i | ||||
\(287\) | −18.6139 | + | 14.0532i | −1.09874 | + | 0.829532i | ||||
\(288\) | −18.4330 | + | 5.26760i | −1.08618 | + | 0.310396i | ||||
\(289\) | 14.6388 | − | 8.45170i | 0.861105 | − | 0.497159i | ||||
\(290\) | 22.0082 | − | 32.6741i | 1.29237 | − | 1.91869i | ||||
\(291\) | −7.55946 | + | 7.68563i | −0.443144 | + | 0.450539i | ||||
\(292\) | −25.8928 | + | 25.8928i | −1.51526 | + | 1.51526i | ||||
\(293\) | −29.5082 | + | 7.90670i | −1.72389 | + | 0.461914i | −0.978760 | − | 0.205007i | \(-0.934278\pi\) |
−0.745128 | + | 0.666922i | \(0.767612\pi\) | |||||||
\(294\) | −23.7636 | + | 13.4879i | −1.38592 | + | 0.786628i | ||||
\(295\) | −7.44031 | − | 8.54793i | −0.433192 | − | 0.497680i | ||||
\(296\) | 2.40869 | + | 4.17198i | 0.140003 | + | 0.242491i | ||||
\(297\) | −17.1041 | + | 0.424722i | −0.992478 | + | 0.0246449i | ||||
\(298\) | −2.18822 | − | 8.16656i | −0.126760 | − | 0.473076i | ||||
\(299\) | −1.47674 | + | 2.55778i | −0.0854018 | + | 0.147920i | ||||
\(300\) | 10.2254 | + | 24.6276i | 0.590363 | + | 1.42187i | ||||
\(301\) | 19.3797 | − | 24.8516i | 1.11703 | − | 1.43242i | ||||
\(302\) | 4.58737 | − | 1.22918i | 0.263973 | − | 0.0707314i | ||||
\(303\) | 14.0449 | + | 7.95461i | 0.806860 | + | 0.456980i | ||||
\(304\) | 2.08956 | 0.119844 | ||||||||
\(305\) | 0.267514 | + | 0.0919189i | 0.0153178 | + | 0.00526326i | ||||
\(306\) | −1.02038 | + | 1.83691i | −0.0583315 | + | 0.105009i | ||||
\(307\) | 13.1078 | − | 13.1078i | 0.748100 | − | 0.748100i | −0.226022 | − | 0.974122i | \(-0.572572\pi\) |
0.974122 | + | 0.226022i | \(0.0725721\pi\) | |||||||
\(308\) | −3.29332 | − | 26.6213i | −0.187654 | − | 1.51689i | ||||
\(309\) | 20.5025 | − | 5.67589i | 1.16635 | − | 0.322890i | ||||
\(310\) | 16.6724 | − | 24.7524i | 0.946930 | − | 1.40584i | ||||
\(311\) | 0.861302 | − | 0.497273i | 0.0488400 | − | 0.0281978i | −0.475381 | − | 0.879780i | \(-0.657690\pi\) |
0.524221 | + | 0.851582i | \(0.324357\pi\) | |||||||
\(312\) | −2.01804 | − | 3.42949i | −0.114249 | − | 0.194157i | ||||
\(313\) | 24.0202 | − | 6.43618i | 1.35770 | − | 0.363795i | 0.494729 | − | 0.869048i | \(-0.335267\pi\) |
0.862971 | + | 0.505253i | \(0.168601\pi\) | |||||||
\(314\) | 21.1695 | 1.19466 | ||||||||
\(315\) | −16.7775 | + | 5.78927i | −0.945305 | + | 0.326188i | ||||
\(316\) | −18.4001 | −1.03509 | ||||||||
\(317\) | −5.89762 | + | 1.58026i | −0.331243 | + | 0.0887563i | −0.420608 | − | 0.907243i | \(-0.638183\pi\) |
0.0893645 | + | 0.995999i | \(0.471516\pi\) | |||||||
\(318\) | −54.6698 | + | 0.452431i | −3.06573 | + | 0.0253711i | ||||
\(319\) | −22.2916 | + | 12.8701i | −1.24809 | + | 0.720587i | ||||
\(320\) | −5.58532 | − | 28.6351i | −0.312229 | − | 1.60075i | ||||
\(321\) | 18.9732 | + | 18.6617i | 1.05898 | + | 1.04159i | ||||
\(322\) | 11.2330 | + | 14.8785i | 0.625993 | + | 0.829148i | ||||
\(323\) | 0.678065 | − | 0.678065i | 0.0377285 | − | 0.0377285i | ||||
\(324\) | 0.917161 | + | 27.6970i | 0.0509534 | + | 1.53872i | ||||
\(325\) | 3.76844 | − | 2.84737i | 0.209035 | − | 0.157944i | ||||
\(326\) | −40.6470 | −2.25123 | ||||||||
\(327\) | 11.9749 | − | 7.04646i | 0.662211 | − | 0.389670i | ||||
\(328\) | −20.7085 | + | 5.54882i | −1.14343 | + | 0.306382i | ||||
\(329\) | −4.25857 | − | 0.594545i | −0.234782 | − | 0.0327783i | ||||
\(330\) | 1.74894 | − | 28.6870i | 0.0962761 | − | 1.57917i | ||||
\(331\) | 8.23745 | − | 14.2677i | 0.452771 | − | 0.784223i | −0.545786 | − | 0.837925i | \(-0.683769\pi\) |
0.998557 | + | 0.0537019i | \(0.0171021\pi\) | |||||||
\(332\) | 4.17949 | + | 15.5981i | 0.229380 | + | 0.856056i | ||||
\(333\) | −5.71373 | + | 1.63281i | −0.313111 | + | 0.0894774i | ||||
\(334\) | −12.4132 | − | 21.5003i | −0.679220 | − | 1.17644i | ||||
\(335\) | −0.0215393 | + | 0.310916i | −0.00117682 | + | 0.0169871i | ||||
\(336\) | 3.07674 | − | 0.406501i | 0.167850 | − | 0.0221764i | ||||
\(337\) | 9.58794 | − | 2.56908i | 0.522289 | − | 0.139947i | 0.0119636 | − | 0.999928i | \(-0.496192\pi\) |
0.510325 | + | 0.859982i | \(0.329525\pi\) | |||||||
\(338\) | 19.2948 | − | 19.2948i | 1.04950 | − | 1.04950i | ||||
\(339\) | 13.7176 | + | 3.55420i | 0.745035 | + | 0.193038i | ||||
\(340\) | −1.77479 | − | 1.19544i | −0.0962514 | − | 0.0648319i | ||||
\(341\) | −16.8871 | + | 9.74979i | −0.914490 | + | 0.527981i | ||||
\(342\) | 5.06495 | − | 20.2366i | 0.273881 | − | 1.09427i | ||||
\(343\) | 17.2719 | − | 6.68431i | 0.932597 | − | 0.360919i | ||||
\(344\) | 25.0877 | − | 14.4844i | 1.35264 | − | 0.780946i | ||||
\(345\) | 5.40517 | + | 10.8358i | 0.291005 | + | 0.583379i | ||||
\(346\) | −18.3526 | + | 10.5959i | −0.986644 | + | 0.569639i | ||||
\(347\) | −5.95346 | + | 22.2186i | −0.319599 | + | 1.19276i | 0.600033 | + | 0.799976i | \(0.295154\pi\) |
−0.919631 | + | 0.392783i | \(0.871512\pi\) | |||||||
\(348\) | 21.1439 | + | 35.9322i | 1.13343 | + | 1.92617i | ||||
\(349\) | −3.16142 | − | 5.47575i | −0.169227 | − | 0.293110i | 0.768921 | − | 0.639344i | \(-0.220794\pi\) |
−0.938148 | + | 0.346234i | \(0.887460\pi\) | |||||||
\(350\) | −7.27631 | − | 28.9120i | −0.388935 | − | 1.54541i | ||||
\(351\) | 4.70825 | − | 1.38772i | 0.251308 | − | 0.0740709i | ||||
\(352\) | −5.44590 | + | 20.3244i | −0.290267 | + | 1.08329i | ||||
\(353\) | −20.7861 | − | 20.7861i | −1.10633 | − | 1.10633i | −0.993629 | − | 0.112703i | \(-0.964049\pi\) |
−0.112703 | − | 0.993629i | \(-0.535951\pi\) | |||||||
\(354\) | 19.0660 | − | 5.27822i | 1.01335 | − | 0.280534i | ||||
\(355\) | 32.9547 | − | 6.42786i | 1.74905 | − | 0.341156i | ||||
\(356\) | 8.64765 | + | 4.99272i | 0.458325 | + | 0.264614i | ||||
\(357\) | 0.866496 | − | 1.13032i | 0.0458599 | − | 0.0598227i | ||||
\(358\) | −24.6170 | − | 6.59609i | −1.30105 | − | 0.348614i | ||||
\(359\) | −3.07165 | + | 1.77342i | −0.162115 | + | 0.0935973i | −0.578863 | − | 0.815425i | \(-0.696503\pi\) |
0.416747 | + | 0.909022i | \(0.363170\pi\) | |||||||
\(360\) | −16.2919 | − | 0.857996i | −0.858658 | − | 0.0452204i | ||||
\(361\) | 4.74006 | − | 8.21003i | 0.249477 | − | 0.432107i | ||||
\(362\) | 6.09804 | + | 22.7582i | 0.320506 | + | 1.19614i | ||||
\(363\) | 0.135015 | − | 0.238387i | 0.00708644 | − | 0.0125121i | ||||
\(364\) | 2.88933 | + | 7.13262i | 0.151442 | + | 0.373851i | ||||
\(365\) | 23.8932 | − | 11.6726i | 1.25063 | − | 0.610973i | ||||
\(366\) | −0.346267 | + | 0.352046i | −0.0180997 | + | 0.0184017i | ||||
\(367\) | −7.05463 | + | 7.05463i | −0.368249 | + | 0.368249i | −0.866838 | − | 0.498590i | \(-0.833851\pi\) |
0.498590 | + | 0.866838i | \(0.333851\pi\) | |||||||
\(368\) | −0.548026 | − | 2.04526i | −0.0285678 | − | 0.106617i | ||||
\(369\) | −0.437687 | − | 26.4423i | −0.0227851 | − | 1.37653i | ||||
\(370\) | −1.91102 | − | 9.79752i | −0.0993493 | − | 0.509349i | ||||
\(371\) | 36.6999 | + | 5.12373i | 1.90536 | + | 0.266011i | ||||
\(372\) | 16.0176 | + | 27.2206i | 0.830476 | + | 1.41132i | ||||
\(373\) | −20.2426 | + | 20.2426i | −1.04812 | + | 1.04812i | −0.0493416 | + | 0.998782i | \(0.515712\pi\) |
−0.998782 | + | 0.0493416i | \(0.984288\pi\) | |||||||
\(374\) | 1.15315 | + | 1.99732i | 0.0596280 | + | 0.103279i | ||||
\(375\) | −1.21098 | − | 19.3270i | −0.0625348 | − | 0.998043i | ||||
\(376\) | −3.42297 | − | 1.97625i | −0.176526 | − | 0.101918i | ||||
\(377\) | 5.22170 | − | 5.22170i | 0.268931 | − | 0.268931i | ||||
\(378\) | 3.52100 | − | 30.7824i | 0.181101 | − | 1.58328i | ||||
\(379\) | − | 26.4853i | − | 1.36046i | −0.732999 | − | 0.680229i | \(-0.761880\pi\) | ||
0.732999 | − | 0.680229i | \(-0.238120\pi\) | |||||||
\(380\) | 20.0907 | + | 6.90325i | 1.03063 | + | 0.354129i | ||||
\(381\) | −20.2957 | + | 5.61864i | −1.03978 | + | 0.287852i | ||||
\(382\) | 11.7529 | − | 43.8623i | 0.601329 | − | 2.24419i | ||||
\(383\) | −11.6061 | − | 11.6061i | −0.593043 | − | 0.593043i | 0.345410 | − | 0.938452i | \(-0.387740\pi\) |
−0.938452 | + | 0.345410i | \(0.887740\pi\) | |||||||
\(384\) | 27.8733 | + | 7.22193i | 1.42240 | + | 0.368543i | ||||
\(385\) | −4.02039 | + | 19.0604i | −0.204898 | + | 0.971410i | ||||
\(386\) | −0.663753 | −0.0337841 | ||||||||
\(387\) | 9.81870 | + | 34.3589i | 0.499113 | + | 1.74656i | ||||
\(388\) | 18.5115 | − | 4.96013i | 0.939777 | − | 0.251812i | ||||
\(389\) | 8.26141i | 0.418870i | 0.977823 | + | 0.209435i | \(0.0671625\pi\) | ||||
−0.977823 | + | 0.209435i | \(0.932838\pi\) | |||||||
\(390\) | 1.64543 | + | 8.07946i | 0.0833196 | + | 0.409119i | ||||
\(391\) | −0.841526 | − | 0.485855i | −0.0425578 | − | 0.0245707i | ||||
\(392\) | 17.0220 | + | 0.266086i | 0.859743 | + | 0.0134394i | ||||
\(393\) | 10.6152 | + | 6.01211i | 0.535466 | + | 0.303271i | ||||
\(394\) | 48.5446 | + | 28.0273i | 2.44564 | + | 1.41199i | ||||
\(395\) | 12.6370 | + | 4.34213i | 0.635837 | + | 0.218476i | ||||
\(396\) | 26.5890 | + | 14.7699i | 1.33615 | + | 0.742215i | ||||
\(397\) | 34.0403 | + | 9.12106i | 1.70843 | + | 0.457773i | 0.975039 | − | 0.222033i | \(-0.0712692\pi\) |
0.733392 | + | 0.679806i | \(0.237936\pi\) | |||||||
\(398\) | 1.48367 | − | 5.53715i | 0.0743699 | − | 0.277552i | ||||
\(399\) | −5.40483 | + | 13.0654i | −0.270580 | + | 0.654089i | ||||
\(400\) | −0.466926 | + | 3.35382i | −0.0233463 | + | 0.167691i | ||||
\(401\) | −2.54717 | −0.127199 | −0.0635997 | − | 0.997975i | \(-0.520258\pi\) | ||||
−0.0635997 | + | 0.997975i | \(0.520258\pi\) | |||||||
\(402\) | −0.473411 | − | 0.268125i | −0.0236116 | − | 0.0133729i | ||||
\(403\) | 3.95572 | − | 3.95572i | 0.197049 | − | 0.197049i | ||||
\(404\) | −14.3473 | − | 24.8503i | −0.713805 | − | 1.23635i | ||||
\(405\) | 5.90615 | − | 19.2384i | 0.293479 | − | 0.955966i | ||||
\(406\) | −17.5008 | − | 43.2026i | −0.868549 | − | 2.14411i | ||||
\(407\) | −1.68808 | + | 6.29999i | −0.0836749 | + | 0.312279i | ||||
\(408\) | 1.12832 | − | 0.663948i | 0.0558603 | − | 0.0328703i | ||||
\(409\) | 1.73906 | + | 3.01214i | 0.0859909 | + | 0.148941i | 0.905813 | − | 0.423678i | \(-0.139261\pi\) |
−0.819822 | + | 0.572618i | \(0.805928\pi\) | |||||||
\(410\) | 44.3177 | + | 3.07019i | 2.18870 | + | 0.151626i | ||||
\(411\) | 12.7648 | − | 3.53379i | 0.629641 | − | 0.174309i | ||||
\(412\) | −36.5303 | − | 9.78826i | −1.79972 | − | 0.482233i | ||||
\(413\) | −13.3073 | + | 1.64625i | −0.654811 | + | 0.0810065i | ||||
\(414\) | −21.1360 | + | 0.349854i | −1.03878 | + | 0.0171944i | ||||
\(415\) | 0.810464 | − | 11.6989i | 0.0397841 | − | 0.574277i | ||||
\(416\) | − | 6.03655i | − | 0.295966i | ||||||
\(417\) | 11.2216 | + | 19.0702i | 0.549525 | + | 0.933872i | ||||
\(418\) | −16.1900 | − | 16.1900i | −0.791878 | − | 0.791878i | ||||
\(419\) | 4.28038 | − | 7.41383i | 0.209110 | − | 0.362189i | −0.742324 | − | 0.670041i | \(-0.766277\pi\) |
0.951434 | + | 0.307851i | \(0.0996099\pi\) | |||||||
\(420\) | 30.9252 | + | 6.25616i | 1.50899 | + | 0.305269i | ||||
\(421\) | 9.86062 | + | 17.0791i | 0.480577 | + | 0.832384i | 0.999752 | − | 0.0222842i | \(-0.00709386\pi\) |
−0.519175 | + | 0.854668i | \(0.673761\pi\) | |||||||
\(422\) | 1.39898 | − | 5.22107i | 0.0681014 | − | 0.254158i | ||||
\(423\) | 3.39003 | − | 3.50415i | 0.164829 | − | 0.170378i | ||||
\(424\) | 29.4988 | + | 17.0312i | 1.43259 | + | 0.827106i | ||||
\(425\) | 0.936803 | + | 1.23984i | 0.0454416 | + | 0.0601410i | ||||
\(426\) | −14.7012 | + | 56.7396i | −0.712274 | + | 2.74904i | ||||
\(427\) | 0.267112 | − | 0.201665i | 0.0129265 | − | 0.00975927i | ||||
\(428\) | −12.2448 | − | 45.6984i | −0.591877 | − | 2.20892i | ||||
\(429\) | 1.35125 | − | 5.21518i | 0.0652389 | − | 0.251791i | ||||
\(430\) | −58.9162 | + | 11.4917i | −2.84119 | + | 0.554179i | ||||
\(431\) | −8.86006 | + | 15.3461i | −0.426774 | + | 0.739195i | −0.996584 | − | 0.0825818i | \(-0.973683\pi\) |
0.569810 | + | 0.821776i | \(0.307017\pi\) | |||||||
\(432\) | −1.68331 | + | 3.09029i | −0.0809883 | + | 0.148682i | ||||
\(433\) | 5.70265 | + | 5.70265i | 0.274052 | + | 0.274052i | 0.830729 | − | 0.556677i | \(-0.187924\pi\) |
−0.556677 | + | 0.830729i | \(0.687924\pi\) | |||||||
\(434\) | −13.2578 | − | 32.7283i | −0.636395 | − | 1.57101i | ||||
\(435\) | −6.04197 | − | 29.6675i | −0.289690 | − | 1.42245i | ||||
\(436\) | −24.7003 | −1.18293 | ||||||||
\(437\) | 9.31806 | + | 2.49677i | 0.445743 | + | 0.119437i | ||||
\(438\) | 0.384159 | + | 46.4201i | 0.0183558 | + | 2.21804i | ||||
\(439\) | 9.70512 | − | 16.8098i | 0.463200 | − | 0.802286i | −0.535918 | − | 0.844270i | \(-0.680034\pi\) |
0.999118 | + | 0.0419836i | \(0.0133677\pi\) | |||||||
\(440\) | −10.0034 | + | 14.8514i | −0.476894 | + | 0.708011i | ||||
\(441\) | −5.41653 | + | 20.2894i | −0.257930 | + | 0.966164i | ||||
\(442\) | −0.467861 | − | 0.467861i | −0.0222539 | − | 0.0222539i | ||||
\(443\) | −7.29627 | − | 27.2301i | −0.346656 | − | 1.29374i | −0.890665 | − | 0.454660i | \(-0.849761\pi\) |
0.544009 | − | 0.839079i | \(-0.316906\pi\) | |||||||
\(444\) | 10.2264 | + | 2.64966i | 0.485325 | + | 0.125747i | ||||
\(445\) | −4.76092 | − | 5.46966i | −0.225689 | − | 0.259287i | ||||
\(446\) | 40.4652i | 1.91608i | ||||||||
\(447\) | −5.65389 | − | 3.20218i | −0.267420 | − | 0.151458i | ||||
\(448\) | −31.7881 | − | 13.4591i | −1.50185 | − | 0.635881i | ||||
\(449\) | 2.08725i | 0.0985034i | 0.998786 | + | 0.0492517i | \(0.0156836\pi\) | ||||
−0.998786 | + | 0.0492517i | \(0.984316\pi\) | |||||||
\(450\) | 31.3488 | + | 12.6515i | 1.47779 | + | 0.596395i | ||||
\(451\) | −25.1373 | − | 14.5130i | −1.18367 | − | 0.683393i | ||||
\(452\) | −17.8130 | − | 17.8130i | −0.837854 | − | 0.837854i | ||||
\(453\) | 1.79875 | − | 3.17594i | 0.0845126 | − | 0.149218i | ||||
\(454\) | 26.5060 | − | 45.9097i | 1.24399 | − | 2.15465i | ||||
\(455\) | −0.301178 | − | 5.58045i | −0.0141195 | − | 0.261615i | ||||
\(456\) | −9.11390 | + | 9.26600i | −0.426797 | + | 0.433920i | ||||
\(457\) | 7.27217 | − | 1.94857i | 0.340178 | − | 0.0911504i | −0.0846859 | − | 0.996408i | \(-0.526989\pi\) |
0.424864 | + | 0.905257i | \(0.360322\pi\) | |||||||
\(458\) | 0.607239 | − | 0.162709i | 0.0283744 | − | 0.00760290i | ||||
\(459\) | 0.456568 | + | 1.54904i | 0.0213107 | + | 0.0723031i | ||||
\(460\) | 1.48774 | − | 21.4753i | 0.0693663 | − | 1.00129i | ||||
\(461\) | −27.8339 | + | 16.0699i | −1.29635 | + | 0.748450i | −0.979772 | − | 0.200116i | \(-0.935868\pi\) |
−0.316581 | + | 0.948566i | \(0.602535\pi\) | |||||||
\(462\) | −26.9883 | − | 20.6891i | −1.25561 | − | 0.962545i | ||||
\(463\) | 3.19334 | + | 11.9177i | 0.148407 | + | 0.553863i | 0.999580 | + | 0.0289778i | \(0.00922521\pi\) |
−0.851173 | + | 0.524886i | \(0.824108\pi\) | |||||||
\(464\) | 5.29418i | 0.245776i | ||||||||
\(465\) | −4.57712 | − | 22.4748i | −0.212259 | − | 1.04224i | ||||
\(466\) | −26.5490 | −1.22986 | ||||||||
\(467\) | 7.74899 | + | 2.07633i | 0.358580 | + | 0.0960813i | 0.433612 | − | 0.901100i | \(-0.357239\pi\) |
−0.0750313 | + | 0.997181i | \(0.523906\pi\) | |||||||
\(468\) | −8.46490 | − | 2.11865i | −0.391290 | − | 0.0979346i | ||||
\(469\) | 0.290795 | + | 0.226768i | 0.0134277 | + | 0.0104712i | ||||
\(470\) | 5.37714 | + | 6.17762i | 0.248029 | + | 0.284952i | ||||
\(471\) | 11.4088 | − | 11.5992i | 0.525687 | − | 0.534461i | ||||
\(472\) | −11.9056 | − | 3.19009i | −0.547999 | − | 0.146836i | ||||
\(473\) | 37.8842 | + | 10.1511i | 1.74192 | + | 0.466746i | ||||
\(474\) | −16.3572 | + | 16.6302i | −0.751310 | + | 0.763849i | ||||
\(475\) | −12.1690 | − | 9.48217i | −0.558354 | − | 0.435072i | ||||
\(476\) | −2.34667 | + | 0.950607i | −0.107560 | + | 0.0435710i | ||||
\(477\) | −29.2150 | + | 30.1984i | −1.33766 | + | 1.38269i | ||||
\(478\) | 4.68900 | + | 1.25641i | 0.214470 | + | 0.0574671i | ||||
\(479\) | −15.3106 | −0.699561 | −0.349781 | − | 0.936832i | \(-0.613744\pi\) | ||||
−0.349781 | + | 0.936832i | \(0.613744\pi\) | |||||||
\(480\) | −20.6410 | − | 13.6562i | −0.942128 | − | 0.623316i | ||||
\(481\) | − | 1.87116i | − | 0.0853177i | ||||||
\(482\) | −7.53345 | − | 28.1152i | −0.343139 | − | 1.28061i | ||||
\(483\) | 14.2060 | + | 1.86360i | 0.646394 | + | 0.0847967i | ||||
\(484\) | −0.421788 | + | 0.243519i | −0.0191722 | + | 0.0110691i | ||||
\(485\) | −13.8840 | − | 0.961841i | −0.630440 | − | 0.0436749i | ||||
\(486\) | 25.8481 | + | 23.7929i | 1.17249 | + | 1.07927i | ||||
\(487\) | −4.87956 | + | 1.30747i | −0.221114 | + | 0.0592473i | −0.367675 | − | 0.929954i | \(-0.619846\pi\) |
0.146561 | + | 0.989202i | \(0.453179\pi\) | |||||||
\(488\) | 0.297170 | − | 0.0796265i | 0.0134523 | − | 0.00360452i | ||||
\(489\) | −21.9056 | + | 22.2712i | −0.990607 | + | 1.00714i | ||||
\(490\) | −33.1782 | − | 11.9832i | −1.49884 | − | 0.541344i | ||||
\(491\) | −5.70061 | + | 9.87374i | −0.257265 | + | 0.445596i | −0.965508 | − | 0.260373i | \(-0.916155\pi\) |
0.708243 | + | 0.705968i | \(0.249488\pi\) | |||||||
\(492\) | −23.1692 | + | 40.9083i | −1.04455 | + | 1.84429i | ||||
\(493\) | 1.71797 | + | 1.71797i | 0.0773735 | + | 0.0773735i | ||||
\(494\) | 5.68863 | + | 3.28433i | 0.255943 | + | 0.147769i | ||||
\(495\) | −14.7756 | − | 16.4184i | −0.664114 | − | 0.737952i | ||||
\(496\) | 4.01063i | 0.180083i | ||||||||
\(497\) | 15.4894 | − | 36.5833i | 0.694793 | − | 1.64099i | ||||
\(498\) | 17.8132 | + | 10.0888i | 0.798227 | + | 0.452091i | ||||
\(499\) | − | 14.2320i | − | 0.637111i | −0.947904 | − | 0.318555i | \(-0.896802\pi\) | ||
0.947904 | − | 0.318555i | \(-0.103198\pi\) | |||||||
\(500\) | −15.5694 | + | 30.7038i | −0.696284 | + | 1.37311i | ||||
\(501\) | −18.4701 | − | 4.78560i | −0.825185 | − | 0.213805i | ||||
\(502\) | 6.80835 | + | 25.4091i | 0.303871 | + | 1.13406i | ||||
\(503\) | 13.7127 | + | 13.7127i | 0.611419 | + | 0.611419i | 0.943316 | − | 0.331897i | \(-0.107689\pi\) |
−0.331897 | + | 0.943316i | \(0.607689\pi\) | |||||||
\(504\) | −11.6170 | + | 15.4166i | −0.517463 | + | 0.686710i | ||||
\(505\) | 3.98933 | + | 20.4527i | 0.177523 | + | 0.910132i | ||||
\(506\) | −11.6006 | + | 20.0929i | −0.515711 | + | 0.893238i | ||||
\(507\) | −0.173544 | − | 20.9704i | −0.00770737 | − | 0.931326i | ||||
\(508\) | 36.1618 | + | 9.68952i | 1.60442 | + | 0.429903i | ||||
\(509\) | −26.0473 | −1.15453 | −0.577263 | − | 0.816559i | \(-0.695879\pi\) | ||||
−0.577263 | + | 0.816559i | \(0.695879\pi\) | |||||||
\(510\) | −2.65819 | + | 0.541357i | −0.117707 | + | 0.0239717i | ||||
\(511\) | 4.35056 | − | 31.1619i | 0.192457 | − | 1.37852i | ||||
\(512\) | 5.38945 | + | 5.38945i | 0.238182 | + | 0.238182i | ||||
\(513\) | −8.35838 | − | 13.6812i | −0.369031 | − | 0.604038i | ||||
\(514\) | −23.3712 | + | 40.4801i | −1.03086 | + | 1.78550i | ||||
\(515\) | 22.7788 | + | 15.3430i | 1.00375 | + | 0.676095i | ||||
\(516\) | 15.9334 | − | 61.4954i | 0.701429 | − | 2.70718i | ||||
\(517\) | −1.38501 | − | 5.16894i | −0.0609128 | − | 0.227330i | ||||
\(518\) | −10.8763 | − | 4.60503i | −0.477878 | − | 0.202334i | ||||
\(519\) | −4.08499 | + | 15.7661i | −0.179311 | + | 0.692056i | ||||
\(520\) | 1.66934 | − | 4.85831i | 0.0732052 | − | 0.213051i | ||||
\(521\) | 25.7411 | + | 14.8616i | 1.12774 | + | 0.651099i | 0.943365 | − | 0.331757i | \(-0.107642\pi\) |
0.184372 | + | 0.982857i | \(0.440975\pi\) | |||||||
\(522\) | 51.2722 | + | 12.8328i | 2.24412 | + | 0.561674i | ||||
\(523\) | −8.03558 | + | 29.9892i | −0.351371 | + | 1.31134i | 0.533619 | + | 0.845725i | \(0.320832\pi\) |
−0.884990 | + | 0.465610i | \(0.845835\pi\) | |||||||
\(524\) | −10.8437 | − | 18.7819i | −0.473711 | − | 0.820491i | ||||
\(525\) | −19.7628 | − | 11.5945i | −0.862518 | − | 0.506027i | ||||
\(526\) | −7.50174 | + | 12.9934i | −0.327091 | + | 0.566539i | ||||
\(527\) | 1.30146 | + | 1.30146i | 0.0566923 | + | 0.0566923i | ||||
\(528\) | 1.95878 | + | 3.32879i | 0.0852452 | + | 0.144867i | ||||
\(529\) | 13.2247i | 0.574985i | ||||||||
\(530\) | −46.3396 | − | 53.2381i | −2.01287 | − | 2.31251i | ||||
\(531\) | 7.38310 | − | 13.2912i | 0.320399 | − | 0.576788i | ||||
\(532\) | 20.0605 | − | 15.1454i | 0.869734 | − | 0.656635i | ||||
\(533\) | 8.04355 | + | 2.15526i | 0.348405 | + | 0.0933548i | ||||
\(534\) | 12.2000 | − | 3.37743i | 0.527946 | − | 0.146156i | ||||
\(535\) | −2.37445 | + | 34.2748i | −0.102657 | + | 1.48183i | ||||
\(536\) | 0.169486 | + | 0.293558i | 0.00732068 | + | 0.0126798i | ||||
\(537\) | −16.8808 | + | 9.93328i | −0.728459 | + | 0.428653i | ||||
\(538\) | 0.949435 | − | 3.54334i | 0.0409330 | − | 0.152764i | ||||
\(539\) | 16.0413 | + | 16.5507i | 0.690946 | + | 0.712891i | ||||
\(540\) | −26.3941 | + | 24.1514i | −1.13582 | + | 1.03931i | ||||
\(541\) | −11.1854 | − | 19.3737i | −0.480899 | − | 0.832941i | 0.518861 | − | 0.854859i | \(-0.326356\pi\) |
−0.999760 | + | 0.0219177i | \(0.993023\pi\) | |||||||
\(542\) | 30.1812 | − | 30.1812i | 1.29639 | − | 1.29639i | ||||
\(543\) | 15.7560 | + | 8.92370i | 0.676155 | + | 0.382953i | ||||
\(544\) | 1.98606 | 0.0851517 | ||||||||
\(545\) | 16.9639 | + | 5.82887i | 0.726654 | + | 0.249681i | ||||
\(546\) | 9.01507 | + | 3.72930i | 0.385809 | + | 0.159599i | ||||
\(547\) | 9.84318 | − | 36.7352i | 0.420864 | − | 1.57069i | −0.351929 | − | 0.936027i | \(-0.614474\pi\) |
0.772793 | − | 0.634659i | \(-0.218859\pi\) | |||||||
\(548\) | −22.7436 | − | 6.09414i | −0.971559 | − | 0.260329i | ||||
\(549\) | 0.00628088 | + | 0.379452i | 0.000268062 | + | 0.0161946i | ||||
\(550\) | 29.6033 | − | 22.3678i | 1.26229 | − | 0.953766i | ||||
\(551\) | −20.8885 | − | 12.0600i | −0.889879 | − | 0.513772i | ||||
\(552\) | 11.4599 | + | 6.49050i | 0.487764 | + | 0.276254i | ||||
\(553\) | 12.6180 | − | 9.52641i | 0.536573 | − | 0.405104i | ||||
\(554\) | 52.9951 | + | 30.5967i | 2.25155 | + | 1.29993i | ||||
\(555\) | −6.39813 | − | 4.23303i | −0.271586 | − | 0.179682i | ||||
\(556\) | − | 39.3357i | − | 1.66820i | ||||||
\(557\) | 13.8552 | − | 3.71249i | 0.587064 | − | 0.157303i | 0.0469531 | − | 0.998897i | \(-0.485049\pi\) |
0.540111 | + | 0.841594i | \(0.318382\pi\) | |||||||
\(558\) | 38.8415 | + | 9.72151i | 1.64429 | + | 0.411544i | ||||
\(559\) | −11.2520 | −0.475910 | ||||||||
\(560\) | 2.98164 | + | 2.67628i | 0.125997 | + | 0.113093i | ||||
\(561\) | 1.71583 | + | 0.444569i | 0.0724422 | + | 0.0187697i | ||||
\(562\) | 9.55010 | + | 9.55010i | 0.402847 | + | 0.402847i | ||||
\(563\) | 4.08248 | − | 15.2360i | 0.172056 | − | 0.642121i | −0.824978 | − | 0.565164i | \(-0.808813\pi\) |
0.997034 | − | 0.0769573i | \(-0.0245205\pi\) | |||||||
\(564\) | −8.35332 | + | 2.31252i | −0.351738 | + | 0.0973748i | ||||
\(565\) | 8.03022 | + | 16.4374i | 0.337834 | + | 0.691527i | ||||
\(566\) | − | 66.0296i | − | 2.77543i | ||||||
\(567\) | −14.9687 | − | 18.5186i | −0.628626 | − | 0.777708i | ||||
\(568\) | 25.8221 | − | 25.8221i | 1.08347 | − | 1.08347i | ||||
\(569\) | 3.66837 | + | 2.11793i | 0.153786 | + | 0.0887884i | 0.574918 | − | 0.818211i | \(-0.305034\pi\) |
−0.421132 | + | 0.906999i | \(0.638367\pi\) | |||||||
\(570\) | 24.0993 | − | 12.0214i | 1.00941 | − | 0.503519i | ||||
\(571\) | 1.39856 | + | 2.42238i | 0.0585280 | + | 0.101373i | 0.893805 | − | 0.448456i | \(-0.148026\pi\) |
−0.835277 | + | 0.549830i | \(0.814693\pi\) | |||||||
\(572\) | −6.77221 | + | 6.77221i | −0.283160 | + | 0.283160i | ||||
\(573\) | −17.6991 | − | 30.0780i | −0.739389 | − | 1.25653i | ||||
\(574\) | 32.3233 | − | 41.4498i | 1.34915 | − | 1.73008i | ||||
\(575\) | −6.08959 | + | 14.3979i | −0.253954 | + | 0.600435i | ||||
\(576\) | 33.5694 | − | 20.1293i | 1.39872 | − | 0.838722i | ||||
\(577\) | 0.190508 | + | 0.710984i | 0.00793093 | + | 0.0295986i | 0.969778 | − | 0.243989i | \(-0.0784562\pi\) |
−0.961847 | + | 0.273588i | \(0.911790\pi\) | |||||||
\(578\) | −26.9373 | + | 26.9373i | −1.12044 | + | 1.12044i | ||||
\(579\) | −0.357712 | + | 0.363682i | −0.0148660 | + | 0.0151141i | ||||
\(580\) | −17.4903 | + | 50.9025i | −0.726247 | + | 2.11361i | ||||
\(581\) | −10.9418 | − | 8.53265i | −0.453944 | − | 0.353994i | ||||
\(582\) | 11.9732 | − | 21.1403i | 0.496304 | − | 0.876292i | ||||
\(583\) | 11.9359 | + | 44.5453i | 0.494334 | + | 1.84488i | ||||
\(584\) | 14.4611 | − | 25.0474i | 0.598407 | − | 1.03647i | ||||
\(585\) | 5.31364 | + | 3.45265i | 0.219692 | + | 0.142749i | ||||
\(586\) | 59.6244 | − | 34.4242i | 2.46306 | − | 1.42205i | ||||
\(587\) | −17.5676 | − | 4.70723i | −0.725094 | − | 0.194288i | −0.122650 | − | 0.992450i | \(-0.539139\pi\) |
−0.602443 | + | 0.798162i | \(0.705806\pi\) | |||||||
\(588\) | 26.5915 | − | 26.2031i | 1.09661 | − | 1.08060i | ||||
\(589\) | −15.8241 | − | 9.13608i | −0.652023 | − | 0.376445i | ||||
\(590\) | 21.1828 | + | 14.2681i | 0.872082 | + | 0.587406i | ||||
\(591\) | 41.5185 | − | 11.4939i | 1.70784 | − | 0.472797i | ||||
\(592\) | 0.948568 | + | 0.948568i | 0.0389859 | + | 0.0389859i | ||||
\(593\) | −3.63771 | + | 13.5761i | −0.149383 | + | 0.557505i | 0.850138 | + | 0.526560i | \(0.176518\pi\) |
−0.999521 | + | 0.0309452i | \(0.990148\pi\) | |||||||
\(594\) | 36.9861 | − | 10.9013i | 1.51756 | − | 0.447288i | ||||
\(595\) | 1.83600 | − | 0.0990895i | 0.0752687 | − | 0.00406227i | ||||
\(596\) | 5.77562 | + | 10.0037i | 0.236578 | + | 0.409766i | ||||
\(597\) | −2.23432 | − | 3.79703i | −0.0914444 | − | 0.155402i | ||||
\(598\) | 1.72276 | − | 6.42941i | 0.0704487 | − | 0.262918i | ||||
\(599\) | 17.4283 | − | 10.0623i | 0.712102 | − | 0.411132i | −0.0997367 | − | 0.995014i | \(-0.531800\pi\) |
0.811839 | + | 0.583881i | \(0.198467\pi\) | |||||||
\(600\) | −12.8357 | − | 16.6987i | −0.524017 | − | 0.681722i | ||||
\(601\) | −35.2440 | + | 20.3481i | −1.43763 | + | 0.830017i | −0.997685 | − | 0.0680072i | \(-0.978336\pi\) |
−0.439946 | + | 0.898024i | \(0.645003\pi\) | |||||||
\(602\) | −27.6918 | + | 65.4035i | −1.12863 | + | 2.66565i | ||||
\(603\) | −0.402043 | + | 0.114891i | −0.0163724 | + | 0.00467874i | ||||
\(604\) | −5.61931 | + | 3.24431i | −0.228647 | + | 0.132009i | ||||
\(605\) | 0.347146 | − | 0.0677115i | 0.0141135 | − | 0.00275286i | ||||
\(606\) | −35.2143 | − | 9.12399i | −1.43048 | − | 0.370637i | ||||
\(607\) | −25.5529 | + | 25.5529i | −1.03716 | + | 1.03716i | −0.0378779 | + | 0.999282i | \(0.512060\pi\) |
−0.999282 | + | 0.0378779i | \(0.987940\pi\) | |||||||
\(608\) | −19.0450 | + | 5.10310i | −0.772378 | + | 0.206958i | ||||
\(609\) | −33.1030 | − | 13.6939i | −1.34140 | − | 0.554904i | ||||
\(610\) | −0.635967 | − | 0.0440578i | −0.0257495 | − | 0.00178385i | ||||
\(611\) | 0.767614 | + | 1.32955i | 0.0310543 | + | 0.0537877i | ||||
\(612\) | 0.697049 | − | 2.78500i | 0.0281765 | − | 0.112577i | ||||
\(613\) | 4.10844 | + | 15.3329i | 0.165938 | + | 0.619290i | 0.997919 | + | 0.0644851i | \(0.0205405\pi\) |
−0.831980 | + | 0.554805i | \(0.812793\pi\) | |||||||
\(614\) | −20.8886 | + | 36.1800i | −0.842994 | + | 1.46011i | ||||
\(615\) | 25.5661 | − | 22.6279i | 1.03092 | − | 0.912444i | ||||
\(616\) | 7.95464 | + | 19.6369i | 0.320502 | + | 0.791193i | ||||
\(617\) | 13.9430 | − | 3.73603i | 0.561326 | − | 0.150407i | 0.0330104 | − | 0.999455i | \(-0.489491\pi\) |
0.528315 | + | 0.849048i | \(0.322824\pi\) | |||||||
\(618\) | −41.3212 | + | 24.3149i | −1.66218 | + | 0.978089i | ||||
\(619\) | 5.11480 | 0.205581 | 0.102791 | − | 0.994703i | \(-0.467223\pi\) | ||||
0.102791 | + | 0.994703i | \(0.467223\pi\) | |||||||
\(620\) | −13.2499 | + | 38.5614i | −0.532128 | + | 1.54866i | ||||
\(621\) | −11.1990 | + | 11.7693i | −0.449400 | + | 0.472287i | ||||
\(622\) | −1.58491 | + | 1.58491i | −0.0635491 | + | 0.0635491i | ||||
\(623\) | −8.51513 | + | 1.05340i | −0.341151 | + | 0.0422037i | ||||
\(624\) | −0.789979 | − | 0.777011i | −0.0316245 | − | 0.0311053i | ||||
\(625\) | 17.9385 | − | 17.4129i | 0.717540 | − | 0.696517i | ||||
\(626\) | −48.5353 | + | 28.0218i | −1.93986 | + | 1.11998i | ||||
\(627\) | −17.5959 | + | 0.145619i | −0.702714 | + | 0.00581545i | ||||
\(628\) | −27.9375 | + | 7.48583i | −1.11483 | + | 0.298717i | ||||
\(629\) | 0.615624 | 0.0245465 | ||||||||
\(630\) | 33.1460 | − | 22.3889i | 1.32057 | − | 0.891996i | ||||
\(631\) | 6.18589 | 0.246256 | 0.123128 | − | 0.992391i | \(-0.460707\pi\) | ||||
0.123128 | + | 0.992391i | \(0.460707\pi\) | |||||||
\(632\) | 14.0379 | − | 3.76145i | 0.558399 | − | 0.149622i | ||||
\(633\) | −2.10677 | − | 3.58029i | −0.0837368 | − | 0.142304i | ||||
\(634\) | 11.9168 | − | 6.88014i | 0.473275 | − | 0.273245i | ||||
\(635\) | −22.5490 | − | 15.1883i | −0.894830 | − | 0.602729i | ||||
\(636\) | 71.9880 | − | 19.9291i | 2.85451 | − | 0.790239i | ||||
\(637\) | −5.67420 | − | 3.39534i | −0.224820 | − | 0.134528i | ||||
\(638\) | 41.0196 | − | 41.0196i | 1.62398 | − | 1.62398i | ||||
\(639\) | 23.1658 | + | 38.6334i | 0.916427 | + | 1.52831i | ||||
\(640\) | 16.3169 | + | 33.3998i | 0.644983 | + | 1.32024i | ||||
\(641\) | 2.77425 | 0.109576 | 0.0547881 | − | 0.998498i | \(-0.482552\pi\) | ||||
0.0547881 | + | 0.998498i | \(0.482552\pi\) | |||||||
\(642\) | −52.1880 | − | 29.5576i | −2.05970 | − | 1.16655i | ||||
\(643\) | 11.1476 | − | 2.98698i | 0.439617 | − | 0.117795i | −0.0322201 | − | 0.999481i | \(-0.510258\pi\) |
0.471837 | + | 0.881686i | \(0.343591\pi\) | |||||||
\(644\) | −20.0856 | − | 15.6631i | −0.791482 | − | 0.617212i | ||||
\(645\) | −25.4548 | + | 38.4744i | −1.00228 | + | 1.51493i | ||||
\(646\) | −1.08056 | + | 1.87159i | −0.0425142 | + | 0.0736368i | ||||
\(647\) | −10.2195 | − | 38.1395i | −0.401768 | − | 1.49942i | −0.809939 | − | 0.586514i | \(-0.800500\pi\) |
0.408171 | − | 0.912906i | \(-0.366167\pi\) | |||||||
\(648\) | −6.36170 | − | 20.9433i | −0.249911 | − | 0.822729i | ||||
\(649\) | −8.34375 | − | 14.4518i | −0.327521 | − | 0.567283i | ||||
\(650\) | −6.54264 | + | 8.39656i | −0.256624 | + | 0.329340i | ||||
\(651\) | −25.0774 | − | 10.3739i | −0.982859 | − | 0.406584i | ||||
\(652\) | 53.6421 | − | 14.3733i | 2.10079 | − | 0.562904i | ||||
\(653\) | 15.3779 | − | 15.3779i | 0.601782 | − | 0.601782i | −0.339003 | − | 0.940785i | \(-0.610090\pi\) |
0.940785 | + | 0.339003i | \(0.110090\pi\) | |||||||
\(654\) | −21.9579 | + | 22.3243i | −0.858621 | + | 0.872951i | ||||
\(655\) | 3.01514 | + | 15.4582i | 0.117811 | + | 0.604001i | ||||
\(656\) | −5.17019 | + | 2.98501i | −0.201862 | + | 0.116545i | ||||
\(657\) | 25.6415 | + | 24.8064i | 1.00037 | + | 0.967790i | ||||
\(658\) | 9.61726 | − | 1.18975i | 0.374920 | − | 0.0463813i | ||||
\(659\) | −28.8370 | + | 16.6491i | −1.12333 | + | 0.648556i | −0.942249 | − | 0.334912i | \(-0.891293\pi\) |
−0.181082 | + | 0.983468i | \(0.557960\pi\) | |||||||
\(660\) | 7.83605 | + | 38.4769i | 0.305018 | + | 1.49771i | ||||
\(661\) | 19.4393 | − | 11.2233i | 0.756102 | − | 0.436536i | −0.0717926 | − | 0.997420i | \(-0.522872\pi\) |
0.827894 | + | 0.560884i | \(0.189539\pi\) | |||||||
\(662\) | −9.60978 | + | 35.8642i | −0.373495 | + | 1.39390i | ||||
\(663\) | −0.508491 | + | 0.00420812i | −0.0197481 | + | 0.000163430i | ||||
\(664\) | −6.37730 | − | 11.0458i | −0.247487 | − | 0.428660i | ||||
\(665\) | −17.3514 | + | 5.66773i | −0.672860 | + | 0.219785i | ||||
\(666\) | 11.4858 | − | 6.88727i | 0.445066 | − | 0.266876i | ||||
\(667\) | −6.32590 | + | 23.6086i | −0.244940 | + | 0.914129i | ||||
\(668\) | 23.9845 | + | 23.9845i | 0.927990 | + | 0.927990i | ||||
\(669\) | 22.1716 | + | 21.8077i | 0.857205 | + | 0.843133i | ||||
\(670\) | −0.134468 | − | 0.689396i | −0.00519494 | − | 0.0266337i | ||||
\(671\) | 0.360725 | + | 0.208265i | 0.0139256 | + | 0.00803997i | ||||
\(672\) | −27.0498 | + | 11.2190i | −1.04347 | + | 0.432782i | ||||
\(673\) | 11.1103 | + | 2.97700i | 0.428271 | + | 0.114755i | 0.466514 | − | 0.884514i | \(-0.345510\pi\) |
−0.0382435 | + | 0.999268i | \(0.512176\pi\) | |||||||
\(674\) | −19.3734 | + | 11.1853i | −0.746237 | + | 0.430840i | ||||
\(675\) | 23.8265 | − | 10.3584i | 0.917084 | − | 0.398694i | ||||
\(676\) | −18.6405 | + | 32.2863i | −0.716942 | + | 1.24178i | ||||
\(677\) | −0.559861 | − | 2.08943i | −0.0215172 | − | 0.0803033i | 0.954332 | − | 0.298747i | \(-0.0965687\pi\) |
−0.975850 | + | 0.218444i | \(0.929902\pi\) | |||||||
\(678\) | −31.9349 | + | 0.264284i | −1.22645 | + | 0.0101498i | ||||
\(679\) | −10.1264 | + | 12.9855i | −0.388614 | + | 0.498339i | ||||
\(680\) | 1.59841 | + | 0.549222i | 0.0612963 | + | 0.0210617i | ||||
\(681\) | −10.8701 | − | 39.2649i | −0.416541 | − | 1.50464i | ||||
\(682\) | 31.0745 | − | 31.0745i | 1.18991 | − | 1.18991i | ||||
\(683\) | −8.05392 | − | 30.0576i | −0.308175 | − | 1.15012i | −0.930178 | − | 0.367109i | \(-0.880348\pi\) |
0.622003 | − | 0.783015i | \(-0.286319\pi\) | |||||||
\(684\) | 0.471704 | + | 28.4974i | 0.0180360 | + | 1.08962i | ||||
\(685\) | 14.1820 | + | 9.55253i | 0.541866 | + | 0.364983i | ||||
\(686\) | −33.7003 | + | 24.6258i | −1.28668 | + | 0.940216i | ||||
\(687\) | 0.238104 | − | 0.420405i | 0.00908423 | − | 0.0160394i | ||||
\(688\) | 5.70410 | − | 5.70410i | 0.217467 | − | 0.217467i | ||||
\(689\) | −6.61521 | − | 11.4579i | −0.252020 | − | 0.436511i | ||||
\(690\) | −18.0870 | − | 20.4356i | −0.688561 | − | 0.777970i | ||||
\(691\) | −41.9460 | − | 24.2175i | −1.59570 | − | 0.921279i | −0.992302 | − | 0.123840i | \(-0.960479\pi\) |
−0.603400 | − | 0.797439i | \(-0.706188\pi\) | |||||||
\(692\) | 20.4732 | − | 20.4732i | 0.778275 | − | 0.778275i | ||||
\(693\) | −25.8806 | + | 3.63752i | −0.983121 | + | 0.138178i | ||||
\(694\) | − | 51.8403i | − | 1.96783i | ||||||
\(695\) | −9.28259 | + | 27.0154i | −0.352109 | + | 1.02475i | ||||
\(696\) | −23.4767 | − | 23.0913i | −0.889882 | − | 0.875274i | ||||
\(697\) | −0.709095 | + | 2.64638i | −0.0268589 | + | 0.100239i | ||||
\(698\) | 10.0761 | + | 10.0761i | 0.381386 | + | 0.381386i | ||||
\(699\) | −14.3079 | + | 14.5467i | −0.541174 | + | 0.550205i | ||||
\(700\) | 19.8263 | + | 35.5823i | 0.749362 | + | 1.34488i | ||||
\(701\) | 0.419923 | 0.0158603 | 0.00793013 | − | 0.999969i | \(-0.497476\pi\) | ||||
0.00793013 | + | 0.999969i | \(0.497476\pi\) | |||||||
\(702\) | −9.43992 | + | 5.76723i | −0.356287 | + | 0.217670i | ||||
\(703\) | −5.90343 | + | 1.58182i | −0.222652 | + | 0.0596594i | ||||
\(704\) | − | 42.9608i | − | 1.61915i | ||||||
\(705\) | 6.28270 | + | 0.383033i | 0.236620 | + | 0.0144258i | ||||
\(706\) | 57.3737 | + | 33.1247i | 2.15929 | + | 1.24667i | ||||
\(707\) | 22.7047 | + | 9.61317i | 0.853899 | + | 0.361540i | ||||
\(708\) | −23.2951 | + | 13.7077i | −0.875482 | + | 0.515167i | ||||
\(709\) | −16.7555 | − | 9.67380i | −0.629266 | − | 0.363307i | 0.151201 | − | 0.988503i | \(-0.451686\pi\) |
−0.780468 | + | 0.625196i | \(0.785019\pi\) | |||||||
\(710\) | −67.9897 | + | 33.2152i | −2.55161 | + | 1.24655i | ||||
\(711\) | 0.296701 | + | 17.9248i | 0.0111271 | + | 0.672232i | ||||
\(712\) | −7.61817 | − | 2.04128i | −0.285503 | − | 0.0765003i | ||||
\(713\) | −4.79222 | + | 17.8848i | −0.179470 | + | 0.669791i | ||||
\(714\) | −1.22696 | + | 2.96601i | −0.0459179 | + | 0.111000i | ||||
\(715\) | 6.24922 | − | 3.05295i | 0.233708 | − | 0.114174i | ||||
\(716\) | 34.8196 | 1.30127 | ||||||||
\(717\) | 3.21543 | − | 1.89208i | 0.120082 | − | 0.0706609i | ||||
\(718\) | 5.65223 | − | 5.65223i | 0.210940 | − | 0.210940i | ||||
\(719\) | −8.63317 | − | 14.9531i | −0.321963 | − | 0.557656i | 0.658930 | − | 0.752204i | \(-0.271009\pi\) |
−0.980893 | + | 0.194548i | \(0.937676\pi\) | |||||||
\(720\) | −4.44399 | + | 0.943412i | −0.165618 | + | 0.0351589i | ||||
\(721\) | 30.1187 | − | 12.2007i | 1.12168 | − | 0.454377i | ||||
\(722\) | −5.52974 | + | 20.6373i | −0.205796 | + | 0.768040i | ||||
\(723\) | −19.4648 | − | 11.0242i | −0.723903 | − | 0.409996i | ||||
\(724\) | −16.0952 | − | 27.8777i | −0.598174 | − | 1.03607i | ||||
\(725\) | 24.0244 | − | 30.8319i | 0.892243 | − | 1.14507i | ||||
\(726\) | −0.154863 | + | 0.597698i | −0.00574750 | + | 0.0221827i | ||||
\(727\) | −16.4674 | − | 4.41242i | −0.610741 | − | 0.163647i | −0.0598257 | − | 0.998209i | \(-0.519054\pi\) |
−0.550915 | + | 0.834561i | \(0.685721\pi\) | |||||||
\(728\) | −3.66244 | − | 4.85101i | −0.135739 | − | 0.179791i | ||||
\(729\) | 26.9667 | − | 1.34008i | 0.998768 | − | 0.0496327i | ||||
\(730\) | −45.2044 | + | 39.3470i | −1.67309 | + | 1.45630i | ||||
\(731\) | − | 3.70198i | − | 0.136923i | ||||||
\(732\) | 0.332482 | − | 0.587041i | 0.0122889 | − | 0.0216977i | ||||
\(733\) | 6.04764 | + | 6.04764i | 0.223375 | + | 0.223375i | 0.809918 | − | 0.586543i | \(-0.199512\pi\) |
−0.586543 | + | 0.809918i | \(0.699512\pi\) | |||||||
\(734\) | 11.2423 | − | 19.4722i | 0.414959 | − | 0.718731i | ||||
\(735\) | −24.4463 | + | 11.7209i | −0.901715 | + | 0.432332i | ||||
\(736\) | 9.98983 | + | 17.3029i | 0.368230 | + | 0.637793i | ||||
\(737\) | −0.118780 | + | 0.443294i | −0.00437533 | + | 0.0163290i | ||||
\(738\) | 16.3765 | + | 57.3069i | 0.602829 | + | 2.10950i | ||||
\(739\) | −3.22666 | − | 1.86291i | −0.118695 | − | 0.0685283i | 0.439477 | − | 0.898254i | \(-0.355164\pi\) |
−0.558172 | + | 0.829725i | \(0.688497\pi\) | |||||||
\(740\) | 5.98652 | + | 12.2541i | 0.220069 | + | 0.450469i | ||||
\(741\) | 4.86528 | − | 1.34690i | 0.178730 | − | 0.0494795i | ||||
\(742\) | −82.8806 | + | 10.2531i | −3.04264 | + | 0.376404i | ||||
\(743\) | −4.59848 | − | 17.1618i | −0.168702 | − | 0.629604i | −0.997539 | − | 0.0701141i | \(-0.977664\pi\) |
0.828837 | − | 0.559490i | \(-0.189003\pi\) | |||||||
\(744\) | −17.7849 | − | 17.4929i | −0.652025 | − | 0.641322i | ||||
\(745\) | −1.60593 | − | 8.23337i | −0.0588368 | − | 0.301647i | ||||
\(746\) | 32.2587 | − | 55.8736i | 1.18107 | − | 2.04568i | ||||
\(747\) | 15.1278 | − | 4.32305i | 0.553496 | − | 0.158172i | ||||
\(748\) | −2.22810 | − | 2.22810i | −0.0814673 | − | 0.0814673i | ||||
\(749\) | 32.0568 | + | 24.9985i | 1.17133 | + | 0.913425i | ||||
\(750\) | 13.9096 | + | 41.3666i | 0.507907 | + | 1.51049i | ||||
\(751\) | −22.5024 | −0.821125 | −0.410562 | − | 0.911833i | \(-0.634668\pi\) | ||||
−0.410562 | + | 0.911833i | \(0.634668\pi\) | |||||||
\(752\) | −1.06314 | − | 0.284866i | −0.0387686 | − | 0.0103880i | ||||
\(753\) | 17.5913 | + | 9.96315i | 0.641062 | + | 0.363077i | ||||
\(754\) | −8.32131 | + | 14.4129i | −0.303044 | + | 0.524888i | ||||
\(755\) | 4.62490 | − | 0.902094i | 0.168317 | − | 0.0328305i | ||||
\(756\) | 6.23841 | + | 41.8688i | 0.226889 | + | 1.52275i | ||||
\(757\) | −11.0473 | − | 11.0473i | −0.401521 | − | 0.401521i | 0.477248 | − | 0.878769i | \(-0.341634\pi\) |
−0.878769 | + | 0.477248i | \(0.841634\pi\) | |||||||
\(758\) | 15.4488 | + | 57.6558i | 0.561127 | + | 2.09415i | ||||
\(759\) | 4.75740 | + | 17.1847i | 0.172683 | + | 0.623766i | ||||
\(760\) | −16.7389 | − | 1.15962i | −0.607185 | − | 0.0420639i | ||||
\(761\) | 32.5561i | 1.18016i | 0.807346 | + | 0.590078i | \(0.200903\pi\) | ||||
−0.807346 | + | 0.590078i | \(0.799097\pi\) | |||||||
\(762\) | 40.9044 | − | 24.0697i | 1.48181 | − | 0.871952i | ||||
\(763\) | 16.9384 | − | 12.7882i | 0.613212 | − | 0.462966i | ||||
\(764\) | 62.0413i | 2.24457i | ||||||||
\(765\) | −1.13594 | + | 1.74822i | −0.0410701 | + | 0.0632070i | ||||
\(766\) | 32.0350 | + | 18.4954i | 1.15747 | + | 0.668268i | ||||
\(767\) | 3.38526 | + | 3.38526i | 0.122235 | + | 0.122235i | ||||
\(768\) | −19.6941 | + | 0.162982i | −0.710649 | + | 0.00588112i | ||||
\(769\) | −20.3486 | + | 35.2449i | −0.733791 | + | 1.27096i | 0.221461 | + | 0.975169i | \(0.428917\pi\) |
−0.955252 | + | 0.295794i | \(0.904416\pi\) | |||||||
\(770\) | −2.36594 | − | 43.8377i | −0.0852624 | − | 1.57980i | ||||
\(771\) | 9.58448 | + | 34.6212i | 0.345177 | + | 1.24685i | ||||
\(772\) | 0.875958 | − | 0.234712i | 0.0315264 | − | 0.00844748i | ||||
\(773\) | −27.2676 | + | 7.30632i | −0.980746 | + | 0.262790i | −0.713359 | − | 0.700799i | \(-0.752827\pi\) |
−0.267387 | + | 0.963589i | \(0.586160\pi\) | |||||||
\(774\) | −41.4158 | − | 69.0685i | −1.48866 | − | 2.48262i | ||||
\(775\) | 18.1998 | − | 23.3569i | 0.653755 | − | 0.839003i | ||||
\(776\) | −13.1089 | + | 7.56843i | −0.470583 | + | 0.271691i | ||||
\(777\) | −8.38469 | + | 3.47757i | −0.300799 | + | 0.124757i | ||||
\(778\) | −4.81886 | − | 17.9842i | −0.172765 | − | 0.644767i | ||||
\(779\) | − | 27.1990i | − | 0.974506i | ||||||
\(780\) | −5.02849 | − | 10.0807i | −0.180049 | − | 0.360945i | ||||
\(781\) | 49.4415 | 1.76916 | ||||||||
\(782\) | 2.11531 | + | 0.566797i | 0.0756435 | + | 0.0202686i | ||||
\(783\) | 34.6631 | − | 21.1771i | 1.23876 | − | 0.756808i | ||||
\(784\) | 4.59772 | − | 1.15525i | 0.164204 | − | 0.0412588i | ||||
\(785\) | 20.9537 | + | 1.45161i | 0.747871 | + | 0.0518102i | ||||
\(786\) | −26.6151 | − | 6.89593i | −0.949327 | − | 0.245970i | ||||
\(787\) | −3.87752 | − | 1.03898i | −0.138219 | − | 0.0370355i | 0.189046 | − | 0.981968i | \(-0.439460\pi\) |
−0.327265 | + | 0.944933i | \(0.606127\pi\) | |||||||
\(788\) | −73.9754 | − | 19.8217i | −2.63527 | − | 0.706117i | ||||
\(789\) | 3.07645 | + | 11.1128i | 0.109524 | + | 0.395625i | ||||
\(790\) | −30.0422 | − | 2.08123i | −1.06885 | − | 0.0740470i | ||||
\(791\) | 21.4379 | + | 2.99298i | 0.762244 | + | 0.106418i | ||||
\(792\) | −23.3048 | − | 5.83288i | −0.828100 | − | 0.207262i | ||||
\(793\) | −0.115426 | − | 0.0309284i | −0.00409891 | − | 0.00109830i | ||||
\(794\) | −79.4225 | −2.81860 | ||||||||
\(795\) | −54.1436 | − | 3.30093i | −1.92028 | − | 0.117072i | ||||
\(796\) | 7.83205i | 0.277600i | ||||||||
\(797\) | −5.75648 | − | 21.4835i | −0.203905 | − | 0.760983i | −0.989781 | − | 0.142599i | \(-0.954454\pi\) |
0.785876 | − | 0.618385i | \(-0.212213\pi\) | |||||||
\(798\) | 4.14473 | − | 31.5947i | 0.146722 | − | 1.11844i | ||||
\(799\) | −0.437429 | + | 0.252550i | −0.0154751 | + | 0.00893456i | ||||
\(800\) | −3.93493 | − | 31.7083i | −0.139121 | − | 1.12106i | ||||
\(801\) | 4.72431 | − | 8.50478i | 0.166925 | − | 0.300502i | ||||
\(802\) | 5.54492 | − | 1.48576i | 0.195798 | − | 0.0524639i | ||||
\(803\) | 37.8234 | − | 10.1348i | 1.33476 | − | 0.357648i | ||||
\(804\) | 0.719575 | + | 0.186441i | 0.0253775 | + | 0.00657527i | ||||
\(805\) | 10.0983 | + | 15.4971i | 0.355919 | + | 0.546202i | ||||
\(806\) | −6.30384 | + | 10.9186i | −0.222043 | + | 0.384590i | ||||
\(807\) | −1.42979 | − | 2.42980i | −0.0503309 | − | 0.0855331i | ||||
\(808\) | 16.0260 | + | 16.0260i | 0.563792 | + | 0.563792i | ||||
\(809\) | −27.9347 | − | 16.1281i | −0.982131 | − | 0.567033i | −0.0792180 | − | 0.996857i | \(-0.525242\pi\) |
−0.902913 | + | 0.429824i | \(0.858576\pi\) | |||||||
\(810\) | −1.63533 | + | 45.3252i | −0.0574598 | + | 1.59256i | ||||
\(811\) | 36.2689i | 1.27358i | 0.771039 | + | 0.636788i | \(0.219737\pi\) | ||||
−0.771039 | + | 0.636788i | \(0.780263\pi\) | |||||||
\(812\) | 38.3729 | + | 50.8261i | 1.34662 | + | 1.78365i | ||||
\(813\) | −0.271461 | − | 32.8022i | −0.00952056 | − | 1.15042i | ||||
\(814\) | − | 14.6991i | − | 0.515203i | ||||||
\(815\) | −40.2327 | − | 2.78720i | −1.40929 | − | 0.0976314i | ||||
\(816\) | 0.255641 | − | 0.259908i | 0.00894924 | − | 0.00909859i | ||||
\(817\) | 9.51208 | + | 35.4996i | 0.332786 | + | 1.24197i | ||||
\(818\) | −5.54273 | − | 5.54273i | −0.193797 | − | 0.193797i | ||||
\(819\) | 6.90178 | − | 2.92971i | 0.241168 | − | 0.102372i | ||||
\(820\) | −59.5720 | + | 11.6196i | −2.08034 | + | 0.405774i | ||||
\(821\) | 2.74130 | − | 4.74807i | 0.0956721 | − | 0.165709i | −0.814217 | − | 0.580561i | \(-0.802833\pi\) |
0.909889 | + | 0.414852i | \(0.136167\pi\) | |||||||
\(822\) | −25.7264 | + | 15.1384i | −0.897312 | + | 0.528012i | ||||
\(823\) | −29.7925 | − | 7.98287i | −1.03850 | − | 0.278265i | −0.301008 | − | 0.953621i | \(-0.597323\pi\) |
−0.737492 | + | 0.675356i | \(0.763990\pi\) | |||||||
\(824\) | 29.8709 | 1.04060 | ||||||||
\(825\) | 3.69821 | − | 28.2747i | 0.128755 | − | 0.984400i | ||||
\(826\) | 28.0085 | − | 11.3459i | 0.974540 | − | 0.394773i | ||||
\(827\) | −15.2527 | − | 15.2527i | −0.530387 | − | 0.530387i | 0.390300 | − | 0.920688i | \(-0.372371\pi\) |
−0.920688 | + | 0.390300i | \(0.872371\pi\) | |||||||
\(828\) | 27.7695 | − | 7.93568i | 0.965058 | − | 0.275784i | ||||
\(829\) | −23.5997 | + | 40.8759i | −0.819652 | + | 1.41968i | 0.0862876 | + | 0.996270i | \(0.472500\pi\) |
−0.905939 | + | 0.423408i | \(0.860834\pi\) | |||||||
\(830\) | 5.05965 | + | 25.9401i | 0.175623 | + | 0.900393i | ||||
\(831\) | 45.3248 | − | 12.5477i | 1.57230 | − | 0.435274i | ||||
\(832\) | 3.18995 | + | 11.9051i | 0.110592 | + | 0.412734i | ||||
\(833\) | 1.11709 | − | 1.86685i | 0.0387048 | − | 0.0646824i | ||||
\(834\) | −35.5520 | − | 34.9684i | −1.23106 | − | 1.21086i | ||||
\(835\) | −10.8124 | − | 22.1323i | −0.374178 | − | 0.765921i | ||||
\(836\) | 27.0910 | + | 15.6410i | 0.936962 | + | 0.540955i | ||||
\(837\) | 26.2592 | − | 16.0428i | 0.907651 | − | 0.554521i | ||||
\(838\) | −4.99348 | + | 18.6359i | −0.172497 | + | 0.643767i | ||||
\(839\) | 18.0429 | + | 31.2513i | 0.622911 | + | 1.07891i | 0.988941 | + | 0.148310i | \(0.0473835\pi\) |
−0.366030 | + | 0.930603i | \(0.619283\pi\) | |||||||
\(840\) | −24.8726 | + | 1.54891i | −0.858186 | + | 0.0534425i | ||||
\(841\) | 16.0556 | − | 27.8091i | 0.553641 | − | 0.958934i | ||||
\(842\) | −31.4278 | − | 31.4278i | −1.08307 | − | 1.08307i | ||||
\(843\) | 10.3794 | − | 0.0858971i | 0.357487 | − | 0.00295845i | ||||
\(844\) | 7.38497i | 0.254201i | ||||||||
\(845\) | 20.4212 | − | 17.7750i | 0.702509 | − | 0.611480i | ||||
\(846\) | −5.33580 | + | 9.60558i | −0.183448 | + | 0.330247i | ||||
\(847\) | 0.163166 | − | 0.385371i | 0.00560645 | − | 0.0132415i | ||||
\(848\) | 9.16199 | + | 2.45495i | 0.314624 | + | 0.0843032i | ||||
\(849\) | −36.1788 | − | 35.5849i | −1.24165 | − | 1.22127i | ||||
\(850\) | −2.76252 | − | 2.15257i | −0.0947537 | − | 0.0738325i | ||||
\(851\) | 3.09657 | + | 5.36342i | 0.106149 | + | 0.183856i | ||||
\(852\) | −0.662702 | − | 80.0781i | −0.0227038 | − | 2.74343i | ||||
\(853\) | −7.90393 | + | 29.4979i | −0.270626 | + | 1.00999i | 0.688091 | + | 0.725624i | \(0.258449\pi\) |
−0.958716 | + | 0.284364i | \(0.908218\pi\) | |||||||
\(854\) | −0.463845 | + | 0.594811i | −0.0158725 | + | 0.0203540i | ||||
\(855\) | 6.40097 | − | 19.6830i | 0.218908 | − | 0.673146i | ||||
\(856\) | 18.6839 | + | 32.3614i | 0.638601 | + | 1.10609i | ||||
\(857\) | 25.6793 | − | 25.6793i | 0.877188 | − | 0.877188i | −0.116055 | − | 0.993243i | \(-0.537025\pi\) |
0.993243 | + | 0.116055i | \(0.0370247\pi\) | |||||||
\(858\) | 0.100476 | + | 12.1411i | 0.00343020 | + | 0.414490i | ||||
\(859\) | −1.90785 | −0.0650951 | −0.0325476 | − | 0.999470i | \(-0.510362\pi\) | ||||
−0.0325476 | + | 0.999470i | \(0.510362\pi\) | |||||||
\(860\) | 73.6884 | − | 35.9993i | 2.51275 | − | 1.22756i | ||||
\(861\) | −5.29127 | − | 40.0488i | −0.180326 | − | 1.36486i | ||||
\(862\) | 10.3361 | − | 38.5749i | 0.352050 | − | 1.31387i | ||||
\(863\) | 22.2175 | + | 5.95317i | 0.756293 | + | 0.202648i | 0.616308 | − | 0.787505i | \(-0.288628\pi\) |
0.139986 | + | 0.990154i | \(0.455294\pi\) | |||||||
\(864\) | 7.79525 | − | 32.2771i | 0.265200 | − | 1.09809i | ||||
\(865\) | −18.8922 | + | 9.22945i | −0.642353 | + | 0.313811i | ||||
\(866\) | −15.7404 | − | 9.08775i | −0.534882 | − | 0.308814i | ||||
\(867\) | 0.242284 | + | 29.2766i | 0.00822840 | + | 0.994284i | ||||
\(868\) | 29.0696 | + | 38.5035i | 0.986685 | + | 1.30690i | ||||
\(869\) | 17.0402 | + | 9.83815i | 0.578049 | + | 0.333737i | ||||
\(870\) | 30.4578 | + | 61.0589i | 1.03262 | + | 2.07009i | ||||
\(871\) | − | 0.131663i | − | 0.00446123i | ||||||
\(872\) | 18.8445 | − | 5.04937i | 0.638155 | − | 0.170993i | ||||
\(873\) | −5.13050 | − | 17.9533i | −0.173641 | − | 0.607627i | ||||
\(874\) | −21.7408 | −0.735395 | ||||||||
\(875\) | −5.21963 | − | 29.1162i | −0.176456 | − | 0.984309i | ||||
\(876\) | −16.9218 | − | 61.1250i | −0.571734 | − | 2.06522i | ||||
\(877\) | −9.62974 | − | 9.62974i | −0.325173 | − | 0.325173i | 0.525574 | − | 0.850748i | \(-0.323850\pi\) |
−0.850748 | + | 0.525574i | \(0.823850\pi\) | |||||||
\(878\) | −11.3220 | + | 42.2541i | −0.382098 | + | 1.42601i | ||||
\(879\) | 13.2714 | − | 51.2213i | 0.447633 | − | 1.72765i | ||||
\(880\) | −1.62032 | + | 4.71565i | −0.0546209 | + | 0.158965i | ||||
\(881\) | 11.5191i | 0.388089i | 0.980993 | + | 0.194044i | \(0.0621606\pi\) | ||||
−0.980993 | + | 0.194044i | \(0.937839\pi\) | |||||||
\(882\) | −0.0435616 | − | 47.3275i | −0.00146679 | − | 1.59360i | ||||
\(883\) | −10.0424 | + | 10.0424i | −0.337954 | + | 0.337954i | −0.855597 | − | 0.517643i | \(-0.826810\pi\) |
0.517643 | + | 0.855597i | \(0.326810\pi\) | |||||||
\(884\) | 0.782880 | + | 0.451996i | 0.0263311 | + | 0.0152023i | ||||
\(885\) | 19.2336 | − | 3.91704i | 0.646531 | − | 0.131670i | ||||
\(886\) | 31.7665 | + | 55.0212i | 1.06722 | + | 1.84847i | ||||
\(887\) | −28.3597 | + | 28.3597i | −0.952227 | + | 0.952227i | −0.998910 | − | 0.0466828i | \(-0.985135\pi\) |
0.0466828 | + | 0.998910i | \(0.485135\pi\) | |||||||
\(888\) | −8.34368 | + | 0.0690498i | −0.279995 | + | 0.00231716i | ||||
\(889\) | −29.8149 | + | 12.0776i | −0.999960 | + | 0.405070i | ||||
\(890\) | 13.5545 | + | 9.12987i | 0.454347 | + | 0.306034i | ||||
\(891\) | 13.9596 | − | 26.1403i | 0.467665 | − | 0.875734i | ||||
\(892\) | −14.3091 | − | 53.4022i | −0.479103 | − | 1.78804i | ||||
\(893\) | 3.54574 | − | 3.54574i | 0.118654 | − | 0.118654i | ||||
\(894\) | 14.1758 | + | 3.67293i | 0.474109 | + | 0.122841i | ||||
\(895\) | −23.9138 | − | 8.21687i | −0.799349 | − | 0.274660i | ||||
\(896\) | 43.5606 | + | 6.08156i | 1.45526 | + | 0.203171i | ||||
\(897\) | −2.59436 | − | 4.40889i | −0.0866230 | − | 0.147209i | ||||
\(898\) | −1.21749 | − | 4.54373i | −0.0406281 | − | 0.151626i | ||||
\(899\) | 23.1475 | − | 40.0927i | 0.772013 | − | 1.33717i | ||||
\(900\) | −45.8448 | − | 5.61083i | −1.52816 | − | 0.187028i | ||||
\(901\) | 3.76971 | − | 2.17645i | 0.125587 | − | 0.0725079i | ||||
\(902\) | 63.1869 | + | 16.9309i | 2.10389 | + | 0.563736i | ||||
\(903\) | 20.9120 | + | 50.4203i | 0.695907 | + | 1.67788i | ||||
\(904\) | 17.2315 | + | 9.94860i | 0.573111 | + | 0.330886i | ||||
\(905\) | 4.47534 | + | 22.9444i | 0.148765 | + | 0.762697i | ||||
\(906\) | −2.06318 | + | 7.96290i | −0.0685445 | + | 0.264550i | ||||
\(907\) | 7.85915 | + | 7.85915i | 0.260959 | + | 0.260959i | 0.825444 | − | 0.564485i | \(-0.190925\pi\) |
−0.564485 | + | 0.825444i | \(0.690925\pi\) | |||||||
\(908\) | −18.7458 | + | 69.9601i | −0.622100 | + | 2.32171i | ||||
\(909\) | −23.9770 | + | 14.3774i | −0.795267 | + | 0.476869i | ||||
\(910\) | 3.91070 | + | 11.9724i | 0.129638 | + | 0.396881i | ||||
\(911\) | −10.2105 | − | 17.6851i | −0.338288 | − | 0.585933i | 0.645823 | − | 0.763488i | \(-0.276515\pi\) |
−0.984111 | + | 0.177555i | \(0.943181\pi\) | |||||||
\(912\) | −1.78361 | + | 3.14920i | −0.0590612 | + | 0.104281i | ||||
\(913\) | 4.46938 | − | 16.6800i | 0.147915 | − | 0.552026i | ||||
\(914\) | −14.6942 | + | 8.48369i | −0.486040 | + | 0.280616i | ||||
\(915\) | −0.366878 | + | 0.324714i | −0.0121286 | + | 0.0107347i | ||||
\(916\) | −0.743839 | + | 0.429456i | −0.0245771 | + | 0.0141896i | ||||
\(917\) | 17.1603 | + | 7.26565i | 0.566682 | + | 0.239933i | ||||
\(918\) | −1.89745 | − | 3.10579i | −0.0626253 | − | 0.102506i | ||||
\(919\) | 17.1141 | − | 9.88085i | 0.564543 | − | 0.325939i | −0.190424 | − | 0.981702i | \(-0.560986\pi\) |
0.754967 | + | 0.655763i | \(0.227653\pi\) | |||||||
\(920\) | 3.25506 | + | 16.6882i | 0.107316 | + | 0.550194i | ||||
\(921\) | 8.56636 | + | 30.9435i | 0.282271 | + | 1.01962i | ||||
\(922\) | 51.2180 | − | 51.2180i | 1.68677 | − | 1.68677i | ||||
\(923\) | −13.7010 | + | 3.67116i | −0.450972 | + | 0.120838i | ||||
\(924\) | 42.9325 | + | 17.7601i | 1.41238 | + | 0.584264i | ||||
\(925\) | −1.21972 | − | 9.82870i | −0.0401042 | − | 0.323166i | ||||
\(926\) | −13.9032 | − | 24.0810i | −0.456887 | − | 0.791351i | ||||
\(927\) | −8.94637 | + | 35.7445i | −0.293837 | + | 1.17400i | ||||
\(928\) | −12.9294 | − | 48.2532i | −0.424429 | − | 1.58399i | ||||
\(929\) | 17.4116 | − | 30.1578i | 0.571257 | − | 0.989446i | −0.425180 | − | 0.905109i | \(-0.639789\pi\) |
0.996437 | − | 0.0843374i | \(-0.0268774\pi\) | |||||||
\(930\) | 23.0734 | + | 46.2555i | 0.756607 | + | 1.51678i | ||||
\(931\) | −5.91537 | + | 20.7722i | −0.193868 | + | 0.680780i | ||||
\(932\) | 35.0368 | − | 9.38809i | 1.14767 | − | 0.307517i | ||||
\(933\) | 0.0142553 | + | 1.72255i | 0.000466697 | + | 0.0563936i | ||||
\(934\) | −18.0799 | −0.591592 | ||||||||
\(935\) | 1.00444 | + | 2.05603i | 0.0328487 | + | 0.0672394i | ||||
\(936\) | 6.89121 | − | 0.114067i | 0.225246 | − | 0.00372839i | ||||
\(937\) | 10.2798 | − | 10.2798i | 0.335825 | − | 0.335825i | −0.518968 | − | 0.854793i | \(-0.673684\pi\) |
0.854793 | + | 0.518968i | \(0.173684\pi\) | |||||||
\(938\) | −0.765305 | − | 0.324030i | −0.0249881 | − | 0.0105800i | ||||
\(939\) | −10.8031 | + | 41.6950i | −0.352547 | + | 1.36066i | ||||
\(940\) | −9.28073 | − | 6.25120i | −0.302704 | − | 0.203892i | ||||
\(941\) | 36.3393 | − | 20.9805i | 1.18463 | − | 0.683944i | 0.227546 | − | 0.973767i | \(-0.426930\pi\) |
0.957080 | + | 0.289823i | \(0.0935964\pi\) | |||||||
\(942\) | −18.0699 | + | 31.9049i | −0.588750 | + | 1.03952i | ||||
\(943\) | −26.6224 | + | 7.13345i | −0.866945 | + | 0.232297i | ||||
\(944\) | −3.43225 | −0.111710 | ||||||||
\(945\) | 5.59589 | − | 30.2272i | 0.182034 | − | 0.983292i | ||||
\(946\) | −88.3913 | −2.87385 | ||||||||
\(947\) | 26.2031 | − | 7.02111i | 0.851487 | − | 0.228155i | 0.193422 | − | 0.981116i | \(-0.438042\pi\) |
0.658066 | + | 0.752960i | \(0.271375\pi\) | |||||||
\(948\) | 15.7060 | − | 27.7311i | 0.510107 | − | 0.900663i | ||||
\(949\) | −9.72889 | + | 5.61698i | −0.315813 | + | 0.182335i | ||||
\(950\) | 32.0217 | + | 13.5435i | 1.03892 | + | 0.439411i | ||||
\(951\) | 2.65247 | − | 10.2373i | 0.0860121 | − | 0.331966i | ||||
\(952\) | 1.59601 | − | 1.20496i | 0.0517271 | − | 0.0390531i | ||||
\(953\) | −13.8463 | + | 13.8463i | −0.448525 | + | 0.448525i | −0.894864 | − | 0.446339i | \(-0.852728\pi\) |
0.446339 | + | 0.894864i | \(0.352728\pi\) | |||||||
\(954\) | 45.9833 | − | 82.7799i | 1.48877 | − | 2.68010i | ||||
\(955\) | 14.6408 | − | 42.6094i | 0.473764 | − | 1.37881i | ||||
\(956\) | −6.63238 | −0.214507 | ||||||||
\(957\) | −0.368945 | − | 44.5818i | −0.0119263 | − | 1.44112i | ||||
\(958\) | 33.3297 | − | 8.93067i | 1.07683 | − | 0.288537i | ||||
\(959\) | 18.7518 | − | 7.59611i | 0.605527 | − | 0.245291i | ||||
\(960\) | 47.9239 | + | 16.0247i | 1.54674 | + | 0.517195i | ||||
\(961\) | 2.03550 | − | 3.52559i | 0.0656613 | − | 0.113729i | ||||
\(962\) | 1.09145 | + | 4.07333i | 0.0351896 | + | 0.131330i | ||||
\(963\) | −44.3205 | + | 12.6654i | −1.42821 | + | 0.408138i | ||||
\(964\) | 19.8838 | + | 34.4398i | 0.640416 | + | 1.10923i | ||||
\(965\) | −0.656988 | − | 0.0455141i | −0.0211492 | − | 0.00146515i | ||||
\(966\) | −32.0120 | + | 4.22945i | −1.02997 | + | 0.136080i | ||||
\(967\) | −29.4112 | + | 7.88070i | −0.945799 | + | 0.253426i | −0.698579 | − | 0.715533i | \(-0.746184\pi\) |
−0.247221 | + | 0.968959i | \(0.579517\pi\) | |||||||
\(968\) | 0.272012 | − | 0.272012i | 0.00874279 | − | 0.00874279i | ||||
\(969\) | 0.443138 | + | 1.60071i | 0.0142356 | + | 0.0514221i | ||||
\(970\) | 30.7851 | − | 6.00468i | 0.988450 | − | 0.192799i | ||||
\(971\) | 18.7262 | − | 10.8116i | 0.600952 | − | 0.346960i | −0.168464 | − | 0.985708i | \(-0.553881\pi\) |
0.769416 | + | 0.638748i | \(0.220547\pi\) | |||||||
\(972\) | −42.5254 | − | 22.2594i | −1.36400 | − | 0.713970i | ||||
\(973\) | 20.3655 | + | 26.9748i | 0.652889 | + | 0.864772i | ||||
\(974\) | 9.85966 | − | 5.69248i | 0.315924 | − | 0.182399i | ||||
\(975\) | 1.07464 | + | 8.10994i | 0.0344162 | + | 0.259726i | ||||
\(976\) | 0.0741932 | − | 0.0428354i | 0.00237487 | − | 0.00137113i | ||||
\(977\) | −5.30744 | + | 19.8076i | −0.169800 | + | 0.633702i | 0.827579 | + | 0.561349i | \(0.189717\pi\) |
−0.997379 | + | 0.0723529i | \(0.976949\pi\) | |||||||
\(978\) | 34.6956 | − | 61.2597i | 1.10944 | − | 1.95887i | ||||
\(979\) | −5.33902 | − | 9.24745i | −0.170636 | − | 0.295550i | ||||
\(980\) | 48.0228 | + | 4.08198i | 1.53403 | + | 0.130394i | ||||
\(981\) | 0.398291 | + | 24.0622i | 0.0127164 | + | 0.768248i | ||||
\(982\) | 6.65031 | − | 24.8193i | 0.212220 | − | 0.792015i | ||||
\(983\) | −1.43423 | − | 1.43423i | −0.0457449 | − | 0.0457449i | 0.683864 | − | 0.729609i | \(-0.260298\pi\) |
−0.729609 | + | 0.683864i | \(0.760298\pi\) | |||||||
\(984\) | 9.31368 | − | 35.9464i | 0.296909 | − | 1.14593i | ||||
\(985\) | 46.1280 | + | 31.0703i | 1.46976 | + | 0.989984i | ||||
\(986\) | −4.74194 | − | 2.73776i | −0.151014 | − | 0.0871880i | ||||
\(987\) | 4.53109 | − | 5.91066i | 0.144226 | − | 0.188138i | ||||
\(988\) | −8.66869 | − | 2.32277i | −0.275788 | − | 0.0738971i | ||||
\(989\) | 32.2523 | − | 18.6209i | 1.02556 | − | 0.592109i | ||||
\(990\) | 41.7418 | + | 27.1226i | 1.32664 | + | 0.862013i | ||||
\(991\) | 2.46573 | − | 4.27078i | 0.0783266 | − | 0.135666i | −0.824201 | − | 0.566297i | \(-0.808376\pi\) |
0.902528 | + | 0.430631i | \(0.141709\pi\) | |||||||
\(992\) | −9.79473 | − | 36.5544i | −0.310983 | − | 1.16060i | ||||
\(993\) | 14.4717 | + | 24.5934i | 0.459246 | + | 0.780449i | ||||
\(994\) | −12.3798 | + | 88.6731i | −0.392663 | + | 2.81254i | ||||
\(995\) | 1.84824 | − | 5.37897i | 0.0585931 | − | 0.170525i | ||||
\(996\) | −27.0757 | − | 7.01527i | −0.857925 | − | 0.222287i | ||||
\(997\) | −4.41426 | + | 4.41426i | −0.139801 | + | 0.139801i | −0.773544 | − | 0.633743i | \(-0.781518\pi\) |
0.633743 | + | 0.773544i | \(0.281518\pi\) | |||||||
\(998\) | 8.30149 | + | 30.9816i | 0.262779 | + | 0.980704i | ||||
\(999\) | 2.41631 | − | 10.0050i | 0.0764487 | − | 0.316544i |
(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 | 315.2.cg.e.157.6 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.35 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.35 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.35 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.6 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.35 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.6 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.6 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.35 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.6 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.35 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.6 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.35 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.6 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.35 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.6 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.35 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.35 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.35 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.35 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.6 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.35 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.35 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.6 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.6 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.6 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.6 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.6 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.35 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.6 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.6 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.35 | 160 | 3.2 | odd | 2 |