Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(49,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.r (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 49.6 | ||
Character | \(\chi\) | \(=\) | 690.49 |
Dual form | 690.2.r.a.169.6 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.989821 | + | 0.142315i | −0.699909 | + | 0.100632i | ||||
\(3\) | −0.909632 | − | 0.415415i | −0.525176 | − | 0.239840i | ||||
\(4\) | 0.959493 | − | 0.281733i | 0.479746 | − | 0.140866i | ||||
\(5\) | 1.93207 | + | 1.12565i | 0.864049 | + | 0.503408i | ||||
\(6\) | 0.959493 | + | 0.281733i | 0.391711 | + | 0.115017i | ||||
\(7\) | 0.0169454 | + | 0.0263676i | 0.00640477 | + | 0.00996601i | 0.844441 | − | 0.535648i | \(-0.179933\pi\) |
−0.838036 | + | 0.545614i | \(0.816296\pi\) | |||||||
\(8\) | −0.909632 | + | 0.415415i | −0.321603 | + | 0.146871i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | −2.07260 | − | 0.839235i | −0.655415 | − | 0.265389i | ||||
\(11\) | 0.838672 | − | 5.83309i | 0.252869 | − | 1.75874i | −0.327934 | − | 0.944701i | \(-0.606352\pi\) |
0.580804 | − | 0.814044i | \(-0.302738\pi\) | |||||||
\(12\) | −0.989821 | − | 0.142315i | −0.285737 | − | 0.0410828i | ||||
\(13\) | 0.563617 | − | 0.877004i | 0.156319 | − | 0.243237i | −0.754256 | − | 0.656580i | \(-0.772002\pi\) |
0.910576 | + | 0.413343i | \(0.135639\pi\) | |||||||
\(14\) | −0.0205254 | − | 0.0236876i | −0.00548565 | − | 0.00633078i | ||||
\(15\) | −1.28986 | − | 1.82654i | −0.333040 | − | 0.471611i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −0.967380 | + | 3.29460i | −0.234624 | + | 0.799057i | 0.755043 | + | 0.655675i | \(0.227616\pi\) |
−0.989667 | + | 0.143382i | \(0.954202\pi\) | |||||||
\(18\) | −0.755750 | − | 0.654861i | −0.178132 | − | 0.154352i | ||||
\(19\) | 3.93372 | − | 1.15504i | 0.902458 | − | 0.264985i | 0.202595 | − | 0.979263i | \(-0.435063\pi\) |
0.699863 | + | 0.714277i | \(0.253244\pi\) | |||||||
\(20\) | 2.17094 | + | 0.535731i | 0.485438 | + | 0.119793i | ||||
\(21\) | −0.00446060 | − | 0.0310242i | −0.000973383 | − | 0.00677003i | ||||
\(22\) | 5.89308i | 1.25641i | ||||||||
\(23\) | −4.10154 | − | 2.48544i | −0.855229 | − | 0.518250i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | 2.46580 | + | 4.34969i | 0.493160 | + | 0.869938i | ||||
\(26\) | −0.433069 | + | 0.948289i | −0.0849318 | + | 0.185975i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | 0.0236876 | + | 0.0205254i | 0.00447654 | + | 0.00387894i | ||||
\(29\) | 1.01582 | + | 0.298273i | 0.188634 | + | 0.0553878i | 0.374685 | − | 0.927152i | \(-0.377751\pi\) |
−0.186051 | + | 0.982540i | \(0.559569\pi\) | |||||||
\(30\) | 1.53668 | + | 1.62439i | 0.280557 | + | 0.296571i | ||||
\(31\) | 0.447429 | + | 0.979733i | 0.0803606 | + | 0.175965i | 0.945547 | − | 0.325485i | \(-0.105527\pi\) |
−0.865187 | + | 0.501450i | \(0.832800\pi\) | |||||||
\(32\) | −0.755750 | + | 0.654861i | −0.133599 | + | 0.115764i | ||||
\(33\) | −3.18604 | + | 4.95757i | −0.554618 | + | 0.863003i | ||||
\(34\) | 0.488664 | − | 3.39873i | 0.0838052 | − | 0.582878i | ||||
\(35\) | 0.00305896 | + | 0.0700188i | 0.000517058 | + | 0.0118353i | ||||
\(36\) | 0.841254 | + | 0.540641i | 0.140209 | + | 0.0901068i | ||||
\(37\) | 6.76119 | − | 5.85860i | 1.11153 | − | 0.963148i | 0.111999 | − | 0.993708i | \(-0.464275\pi\) |
0.999533 | + | 0.0305604i | \(0.00972918\pi\) | |||||||
\(38\) | −3.72930 | + | 1.70312i | −0.604973 | + | 0.276282i | ||||
\(39\) | −0.877004 | + | 0.563617i | −0.140433 | + | 0.0902509i | ||||
\(40\) | −2.22509 | − | 0.221320i | −0.351817 | − | 0.0349938i | ||||
\(41\) | −0.525260 | + | 0.606183i | −0.0820319 | + | 0.0946698i | −0.795282 | − | 0.606240i | \(-0.792677\pi\) |
0.713250 | + | 0.700910i | \(0.247223\pi\) | |||||||
\(42\) | 0.00883040 | + | 0.0300736i | 0.00136256 | + | 0.00464046i | ||||
\(43\) | 5.04181 | + | 2.30252i | 0.768869 | + | 0.351131i | 0.760927 | − | 0.648838i | \(-0.224745\pi\) |
0.00794202 | + | 0.999968i | \(0.497472\pi\) | |||||||
\(44\) | −0.838672 | − | 5.83309i | −0.126435 | − | 0.879372i | ||||
\(45\) | 0.414525 | + | 2.19731i | 0.0617937 | + | 0.327556i | ||||
\(46\) | 4.41350 | + | 1.87643i | 0.650736 | + | 0.276665i | ||||
\(47\) | − | 6.51753i | − | 0.950680i | −0.879802 | − | 0.475340i | \(-0.842325\pi\) | ||
0.879802 | − | 0.475340i | \(-0.157675\pi\) | |||||||
\(48\) | −0.989821 | + | 0.142315i | −0.142868 | + | 0.0205414i | ||||
\(49\) | 2.90750 | − | 6.36653i | 0.415357 | − | 0.909504i | ||||
\(50\) | −3.05973 | − | 3.95450i | −0.432711 | − | 0.559251i | ||||
\(51\) | 2.24858 | − | 2.59500i | 0.314865 | − | 0.363373i | ||||
\(52\) | 0.293705 | − | 1.00027i | 0.0407296 | − | 0.138712i | ||||
\(53\) | −0.723111 | − | 1.12518i | −0.0993269 | − | 0.154556i | 0.788033 | − | 0.615633i | \(-0.211100\pi\) |
−0.887360 | + | 0.461077i | \(0.847463\pi\) | |||||||
\(54\) | 0.415415 | + | 0.909632i | 0.0565308 | + | 0.123785i | ||||
\(55\) | 8.18643 | − | 10.3259i | 1.10386 | − | 1.39234i | ||||
\(56\) | −0.0263676 | − | 0.0169454i | −0.00352352 | − | 0.00226443i | ||||
\(57\) | −4.05806 | − | 0.583461i | −0.537503 | − | 0.0772813i | ||||
\(58\) | −1.04793 | − | 0.150670i | −0.137600 | − | 0.0197839i | ||||
\(59\) | 2.38036 | + | 1.52977i | 0.309897 | + | 0.199159i | 0.686340 | − | 0.727281i | \(-0.259216\pi\) |
−0.376443 | + | 0.926440i | \(0.622853\pi\) | |||||||
\(60\) | −1.75221 | − | 1.38916i | −0.226209 | − | 0.179340i | ||||
\(61\) | 0.669151 | + | 1.46524i | 0.0856761 | + | 0.187604i | 0.947621 | − | 0.319398i | \(-0.103481\pi\) |
−0.861945 | + | 0.507003i | \(0.830753\pi\) | |||||||
\(62\) | −0.582306 | − | 0.906085i | −0.0739529 | − | 0.115073i | ||||
\(63\) | −0.00883040 | + | 0.0300736i | −0.00111253 | + | 0.00378892i | ||||
\(64\) | 0.654861 | − | 0.755750i | 0.0818576 | − | 0.0944687i | ||||
\(65\) | 2.07615 | − | 1.06000i | 0.257515 | − | 0.131477i | ||||
\(66\) | 2.44807 | − | 5.36053i | 0.301337 | − | 0.659836i | ||||
\(67\) | 13.8191 | − | 1.98689i | 1.68828 | − | 0.242737i | 0.769820 | − | 0.638261i | \(-0.220346\pi\) |
0.918456 | + | 0.395524i | \(0.129437\pi\) | |||||||
\(68\) | 3.43368i | 0.416395i | ||||||||
\(69\) | 2.69840 | + | 3.96467i | 0.324849 | + | 0.477291i | ||||
\(70\) | −0.0129925 | − | 0.0688707i | −0.00155290 | − | 0.00823163i | ||||
\(71\) | −0.625522 | − | 4.35060i | −0.0742358 | − | 0.516321i | −0.992680 | − | 0.120772i | \(-0.961463\pi\) |
0.918445 | − | 0.395550i | \(-0.129446\pi\) | |||||||
\(72\) | −0.909632 | − | 0.415415i | −0.107201 | − | 0.0489571i | ||||
\(73\) | −1.29051 | − | 4.39508i | −0.151043 | − | 0.514406i | 0.848856 | − | 0.528624i | \(-0.177292\pi\) |
−0.999899 | + | 0.0142189i | \(0.995474\pi\) | |||||||
\(74\) | −5.85860 | + | 6.76119i | −0.681048 | + | 0.785972i | ||||
\(75\) | −0.436045 | − | 4.98095i | −0.0503501 | − | 0.575151i | ||||
\(76\) | 3.44896 | − | 2.21651i | 0.395623 | − | 0.254252i | ||||
\(77\) | 0.168016 | − | 0.0767305i | 0.0191472 | − | 0.00874425i | ||||
\(78\) | 0.787867 | − | 0.682690i | 0.0892083 | − | 0.0772995i | ||||
\(79\) | 9.48726 | + | 6.09709i | 1.06740 | + | 0.685977i | 0.951614 | − | 0.307297i | \(-0.0994246\pi\) |
0.115787 | + | 0.993274i | \(0.463061\pi\) | |||||||
\(80\) | 2.23394 | − | 0.0975956i | 0.249762 | − | 0.0109115i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 0.433645 | − | 0.674765i | 0.0478881 | − | 0.0745153i | ||||
\(83\) | 3.33508 | − | 2.88986i | 0.366073 | − | 0.317204i | −0.452328 | − | 0.891852i | \(-0.649406\pi\) |
0.818401 | + | 0.574648i | \(0.194861\pi\) | |||||||
\(84\) | −0.0130204 | − | 0.0285108i | −0.00142065 | − | 0.00311078i | ||||
\(85\) | −5.57763 | + | 5.27646i | −0.604978 | + | 0.572312i | ||||
\(86\) | −5.31817 | − | 1.56156i | −0.573473 | − | 0.168387i | ||||
\(87\) | −0.800118 | − | 0.693307i | −0.0857817 | − | 0.0743303i | ||||
\(88\) | 1.66027 | + | 5.65437i | 0.176986 | + | 0.602758i | ||||
\(89\) | −2.96711 | + | 6.49707i | −0.314513 | + | 0.688688i | −0.999193 | − | 0.0401555i | \(-0.987215\pi\) |
0.684680 | + | 0.728844i | \(0.259942\pi\) | |||||||
\(90\) | −0.723015 | − | 2.11595i | −0.0762125 | − | 0.223041i | ||||
\(91\) | 0.0326752 | 0.00342529 | ||||||||
\(92\) | −4.63562 | − | 1.22922i | −0.483297 | − | 0.128155i | ||||
\(93\) | − | 1.07707i | − | 0.111686i | ||||||
\(94\) | 0.927542 | + | 6.45120i | 0.0956686 | + | 0.665390i | ||||
\(95\) | 8.90041 | + | 2.19638i | 0.913163 | + | 0.225344i | ||||
\(96\) | 0.959493 | − | 0.281733i | 0.0979278 | − | 0.0287542i | ||||
\(97\) | −2.22467 | − | 1.92768i | −0.225881 | − | 0.195727i | 0.534567 | − | 0.845126i | \(-0.320475\pi\) |
−0.760447 | + | 0.649400i | \(0.775020\pi\) | |||||||
\(98\) | −1.97185 | + | 6.71551i | −0.199187 | + | 0.678369i | ||||
\(99\) | 4.95757 | − | 3.18604i | 0.498255 | − | 0.320209i | ||||
\(100\) | 3.59137 | + | 3.47880i | 0.359137 | + | 0.347880i | ||||
\(101\) | 4.45584 | + | 5.14231i | 0.443373 | + | 0.511679i | 0.932815 | − | 0.360356i | \(-0.117345\pi\) |
−0.489442 | + | 0.872036i | \(0.662799\pi\) | |||||||
\(102\) | −1.85639 | + | 2.88860i | −0.183810 | + | 0.286014i | ||||
\(103\) | −12.9804 | − | 1.86630i | −1.27900 | − | 0.183892i | −0.530874 | − | 0.847451i | \(-0.678136\pi\) |
−0.748124 | + | 0.663559i | \(0.769045\pi\) | |||||||
\(104\) | −0.148363 | + | 1.03189i | −0.0145482 | + | 0.101185i | ||||
\(105\) | 0.0263043 | − | 0.0649620i | 0.00256704 | − | 0.00633965i | ||||
\(106\) | 0.875881 | + | 1.01082i | 0.0850731 | + | 0.0981796i | ||||
\(107\) | 5.53153 | − | 2.52616i | 0.534753 | − | 0.244213i | −0.129687 | − | 0.991555i | \(-0.541397\pi\) |
0.664440 | + | 0.747341i | \(0.268670\pi\) | |||||||
\(108\) | −0.540641 | − | 0.841254i | −0.0520232 | − | 0.0809497i | ||||
\(109\) | 6.05077 | + | 1.77667i | 0.579558 | + | 0.170174i | 0.558356 | − | 0.829602i | \(-0.311432\pi\) |
0.0212024 | + | 0.999775i | \(0.493251\pi\) | |||||||
\(110\) | −6.63357 | + | 11.3858i | −0.632486 | + | 1.08560i | ||||
\(111\) | −8.58394 | + | 2.52047i | −0.814752 | + | 0.239233i | ||||
\(112\) | 0.0285108 | + | 0.0130204i | 0.00269402 | + | 0.00123032i | ||||
\(113\) | −15.0097 | + | 2.15807i | −1.41200 | + | 0.203014i | −0.805747 | − | 0.592261i | \(-0.798236\pi\) |
−0.606249 | + | 0.795275i | \(0.707327\pi\) | |||||||
\(114\) | 4.09979 | 0.383981 | ||||||||
\(115\) | −5.12672 | − | 9.41896i | −0.478069 | − | 0.878322i | ||||
\(116\) | 1.05871 | 0.0982986 | ||||||||
\(117\) | 1.03189 | − | 0.148363i | 0.0953979 | − | 0.0137161i | ||||
\(118\) | −2.57384 | − | 1.17544i | −0.236942 | − | 0.108208i | ||||
\(119\) | −0.103263 | + | 0.0303208i | −0.00946612 | + | 0.00277950i | ||||
\(120\) | 1.93207 | + | 1.12565i | 0.176373 | + | 0.102758i | ||||
\(121\) | −22.7672 | − | 6.68505i | −2.06975 | − | 0.607732i | ||||
\(122\) | −0.870865 | − | 1.35509i | −0.0788445 | − | 0.122684i | ||||
\(123\) | 0.729611 | − | 0.333202i | 0.0657868 | − | 0.0300438i | ||||
\(124\) | 0.705328 | + | 0.813992i | 0.0633403 | + | 0.0730986i | ||||
\(125\) | −0.132147 | + | 11.1796i | −0.0118196 | + | 0.999930i | ||||
\(126\) | 0.00446060 | − | 0.0310242i | 0.000397382 | − | 0.00276385i | ||||
\(127\) | 13.1482 | + | 1.89043i | 1.16671 | + | 0.167748i | 0.698330 | − | 0.715776i | \(-0.253927\pi\) |
0.468385 | + | 0.883524i | \(0.344836\pi\) | |||||||
\(128\) | −0.540641 | + | 0.841254i | −0.0477863 | + | 0.0743570i | ||||
\(129\) | −3.62969 | − | 4.18889i | −0.319576 | − | 0.368811i | ||||
\(130\) | −1.90417 | + | 1.34468i | −0.167006 | + | 0.117936i | ||||
\(131\) | −13.6380 | + | 8.76463i | −1.19156 | + | 0.765769i | −0.977476 | − | 0.211046i | \(-0.932313\pi\) |
−0.214084 | + | 0.976815i | \(0.568677\pi\) | |||||||
\(132\) | −1.66027 | + | 5.65437i | −0.144508 | + | 0.492149i | ||||
\(133\) | 0.0971143 | + | 0.0841500i | 0.00842088 | + | 0.00729673i | ||||
\(134\) | −13.3957 | + | 3.93334i | −1.15721 | + | 0.339788i | ||||
\(135\) | 0.535731 | − | 2.17094i | 0.0461083 | − | 0.186845i | ||||
\(136\) | −0.488664 | − | 3.39873i | −0.0419026 | − | 0.291439i | ||||
\(137\) | 11.5113i | 0.983474i | 0.870744 | + | 0.491737i | \(0.163638\pi\) | ||||
−0.870744 | + | 0.491737i | \(0.836362\pi\) | |||||||
\(138\) | −3.23517 | − | 3.54030i | −0.275396 | − | 0.301370i | ||||
\(139\) | −22.3408 | −1.89492 | −0.947461 | − | 0.319872i | \(-0.896360\pi\) | ||||
−0.947461 | + | 0.319872i | \(0.896360\pi\) | |||||||
\(140\) | 0.0226616 | + | 0.0663207i | 0.00191526 | + | 0.00560512i | ||||
\(141\) | −2.70748 | + | 5.92856i | −0.228011 | + | 0.499275i | ||||
\(142\) | 1.23831 | + | 4.21730i | 0.103917 | + | 0.353908i | ||||
\(143\) | −4.64296 | − | 4.02315i | −0.388264 | − | 0.336433i | ||||
\(144\) | 0.959493 | + | 0.281733i | 0.0799577 | + | 0.0234777i | ||||
\(145\) | 1.62689 | + | 1.71975i | 0.135106 | + | 0.142818i | ||||
\(146\) | 1.90286 | + | 4.16669i | 0.157482 | + | 0.344838i | ||||
\(147\) | −5.28950 | + | 4.58338i | −0.436271 | + | 0.378031i | ||||
\(148\) | 4.83675 | − | 7.52613i | 0.397579 | − | 0.618644i | ||||
\(149\) | 2.93977 | − | 20.4466i | 0.240835 | − | 1.67505i | −0.407124 | − | 0.913373i | \(-0.633468\pi\) |
0.647960 | − | 0.761675i | \(-0.275623\pi\) | |||||||
\(150\) | 1.14047 | + | 4.86820i | 0.0931190 | + | 0.397487i | ||||
\(151\) | 8.46512 | + | 5.44020i | 0.688882 | + | 0.442718i | 0.837688 | − | 0.546149i | \(-0.183907\pi\) |
−0.148806 | + | 0.988866i | \(0.547543\pi\) | |||||||
\(152\) | −3.09842 | + | 2.68479i | −0.251315 | + | 0.217765i | ||||
\(153\) | −3.12339 | + | 1.42640i | −0.252511 | + | 0.115318i | ||||
\(154\) | −0.155386 | + | 0.0998607i | −0.0125214 | + | 0.00804700i | ||||
\(155\) | −0.238376 | + | 2.39657i | −0.0191468 | + | 0.192497i | ||||
\(156\) | −0.682690 | + | 0.787867i | −0.0546590 | + | 0.0630798i | ||||
\(157\) | 1.64743 | + | 5.61063i | 0.131479 | + | 0.447777i | 0.998746 | − | 0.0500669i | \(-0.0159435\pi\) |
−0.867267 | + | 0.497844i | \(0.834125\pi\) | |||||||
\(158\) | −10.2584 | − | 4.68486i | −0.816115 | − | 0.372707i | ||||
\(159\) | 0.190347 | + | 1.32389i | 0.0150955 | + | 0.104992i | ||||
\(160\) | −2.19731 | + | 0.414525i | −0.173713 | + | 0.0327710i | ||||
\(161\) | −0.00396726 | − | 0.150264i | −0.000312664 | − | 0.0118425i | ||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | −17.6574 | + | 2.53875i | −1.38303 | + | 0.198850i | −0.793340 | − | 0.608779i | \(-0.791660\pi\) |
−0.589692 | + | 0.807628i | \(0.700751\pi\) | |||||||
\(164\) | −0.333202 | + | 0.729611i | −0.0260187 | + | 0.0569731i | ||||
\(165\) | −11.7362 | + | 5.99201i | −0.913660 | + | 0.466477i | ||||
\(166\) | −2.88986 | + | 3.33508i | −0.224297 | + | 0.258853i | ||||
\(167\) | 3.77870 | − | 12.8691i | 0.292404 | − | 0.995838i | −0.673983 | − | 0.738747i | \(-0.735418\pi\) |
0.966387 | − | 0.257091i | \(-0.0827640\pi\) | |||||||
\(168\) | 0.0169454 | + | 0.0263676i | 0.00130737 | + | 0.00203430i | ||||
\(169\) | 4.94892 | + | 10.8366i | 0.380686 | + | 0.833587i | ||||
\(170\) | 4.76994 | − | 6.01653i | 0.365837 | − | 0.461447i | ||||
\(171\) | 3.44896 | + | 2.21651i | 0.263749 | + | 0.169501i | ||||
\(172\) | 5.48627 | + | 0.788807i | 0.418325 | + | 0.0601460i | ||||
\(173\) | −3.35938 | − | 0.483005i | −0.255409 | − | 0.0367222i | 0.0134211 | − | 0.999910i | \(-0.495728\pi\) |
−0.268830 | + | 0.963188i | \(0.586637\pi\) | |||||||
\(174\) | 0.890642 | + | 0.572381i | 0.0675194 | + | 0.0433921i | ||||
\(175\) | −0.0729068 | + | 0.138725i | −0.00551124 | + | 0.0104866i | ||||
\(176\) | −2.44807 | − | 5.36053i | −0.184530 | − | 0.404065i | ||||
\(177\) | −1.52977 | − | 2.38036i | −0.114984 | − | 0.178919i | ||||
\(178\) | 2.01228 | − | 6.85321i | 0.150827 | − | 0.513669i | ||||
\(179\) | 1.09590 | − | 1.26474i | 0.0819118 | − | 0.0945312i | −0.713314 | − | 0.700844i | \(-0.752807\pi\) |
0.795226 | + | 0.606313i | \(0.207352\pi\) | |||||||
\(180\) | 1.01679 | + | 1.99152i | 0.0757868 | + | 0.148439i | ||||
\(181\) | −9.21791 | + | 20.1844i | −0.685162 | + | 1.50029i | 0.171918 | + | 0.985111i | \(0.445004\pi\) |
−0.857080 | + | 0.515184i | \(0.827724\pi\) | |||||||
\(182\) | −0.0323426 | + | 0.00465017i | −0.00239739 | + | 0.000344693i | ||||
\(183\) | − | 1.61080i | − | 0.119074i | ||||||
\(184\) | 4.76338 | + | 0.556994i | 0.351161 | + | 0.0410621i | ||||
\(185\) | 19.6579 | − | 3.70847i | 1.44527 | − | 0.272652i | ||||
\(186\) | 0.153282 | + | 1.06610i | 0.0112392 | + | 0.0781704i | ||||
\(187\) | 18.4064 | + | 8.40591i | 1.34601 | + | 0.614701i | ||||
\(188\) | −1.83620 | − | 6.25353i | −0.133919 | − | 0.456085i | ||||
\(189\) | 0.0205254 | − | 0.0236876i | 0.00149301 | − | 0.00172302i | ||||
\(190\) | −9.12240 | − | 0.907367i | −0.661808 | − | 0.0658273i | ||||
\(191\) | 4.16000 | − | 2.67347i | 0.301007 | − | 0.193446i | −0.381415 | − | 0.924404i | \(-0.624563\pi\) |
0.682422 | + | 0.730958i | \(0.260927\pi\) | |||||||
\(192\) | −0.909632 | + | 0.415415i | −0.0656470 | + | 0.0299800i | ||||
\(193\) | 2.81146 | − | 2.43614i | 0.202373 | − | 0.175357i | −0.547778 | − | 0.836624i | \(-0.684526\pi\) |
0.750151 | + | 0.661266i | \(0.229981\pi\) | |||||||
\(194\) | 2.47636 | + | 1.59146i | 0.177792 | + | 0.114260i | ||||
\(195\) | −2.32887 | + | 0.101743i | −0.166774 | + | 0.00728598i | ||||
\(196\) | 0.996064 | − | 6.92778i | 0.0711474 | − | 0.494841i | ||||
\(197\) | −4.34534 | + | 6.76148i | −0.309593 | + | 0.481736i | −0.960830 | − | 0.277139i | \(-0.910614\pi\) |
0.651237 | + | 0.758874i | \(0.274250\pi\) | |||||||
\(198\) | −4.45369 | + | 3.85915i | −0.316510 | + | 0.274258i | ||||
\(199\) | 9.89731 | + | 21.6721i | 0.701602 | + | 1.53629i | 0.838018 | + | 0.545642i | \(0.183714\pi\) |
−0.136416 | + | 0.990652i | \(0.543558\pi\) | |||||||
\(200\) | −4.04990 | − | 2.93229i | −0.286371 | − | 0.207344i | ||||
\(201\) | −13.3957 | − | 3.93334i | −0.944861 | − | 0.277436i | ||||
\(202\) | −5.14231 | − | 4.45584i | −0.361812 | − | 0.313512i | ||||
\(203\) | 0.00934882 | + | 0.0318392i | 0.000656159 | + | 0.00223467i | ||||
\(204\) | 1.42640 | − | 3.12339i | 0.0998682 | − | 0.218681i | ||||
\(205\) | −1.69719 | + | 0.579927i | −0.118537 | + | 0.0405038i | ||||
\(206\) | 13.1139 | 0.913688 | ||||||||
\(207\) | −0.807567 | − | 4.72735i | −0.0561298 | − | 0.328574i | ||||
\(208\) | − | 1.04250i | − | 0.0722842i | ||||||
\(209\) | −3.43838 | − | 23.9145i | −0.237838 | − | 1.65420i | ||||
\(210\) | −0.0167915 | + | 0.0680443i | −0.00115872 | + | 0.00469550i | ||||
\(211\) | −16.5007 | + | 4.84505i | −1.13596 | + | 0.333547i | −0.795046 | − | 0.606549i | \(-0.792553\pi\) |
−0.340910 | + | 0.940096i | \(0.610735\pi\) | |||||||
\(212\) | −1.01082 | − | 0.875881i | −0.0694234 | − | 0.0601558i | ||||
\(213\) | −1.23831 | + | 4.21730i | −0.0848476 | + | 0.288964i | ||||
\(214\) | −5.11571 | + | 3.28767i | −0.349703 | + | 0.224740i | ||||
\(215\) | 7.14930 | + | 10.1240i | 0.487578 | + | 0.690449i | ||||
\(216\) | 0.654861 | + | 0.755750i | 0.0445576 | + | 0.0514222i | ||||
\(217\) | −0.0182513 | + | 0.0283996i | −0.00123898 | + | 0.00192789i | ||||
\(218\) | −6.24202 | − | 0.897468i | −0.422763 | − | 0.0607842i | ||||
\(219\) | −0.651892 | + | 4.53401i | −0.0440508 | + | 0.306380i | ||||
\(220\) | 4.94568 | − | 12.2140i | 0.333437 | − | 0.823469i | ||||
\(221\) | 2.34414 | + | 2.70529i | 0.157684 | + | 0.181977i | ||||
\(222\) | 8.13787 | − | 3.71644i | 0.546178 | − | 0.249431i | ||||
\(223\) | −13.6259 | − | 21.2023i | −0.912456 | − | 1.41981i | −0.907607 | − | 0.419821i | \(-0.862093\pi\) |
−0.00484895 | − | 0.999988i | \(-0.501543\pi\) | |||||||
\(224\) | −0.0300736 | − | 0.00883040i | −0.00200938 | − | 0.000590006i | ||||
\(225\) | −1.67252 | + | 4.71197i | −0.111501 | + | 0.314131i | ||||
\(226\) | 14.5498 | − | 4.27221i | 0.967839 | − | 0.284183i | ||||
\(227\) | −20.9112 | − | 9.54981i | −1.38792 | − | 0.633843i | −0.425391 | − | 0.905010i | \(-0.639863\pi\) |
−0.962532 | + | 0.271166i | \(0.912591\pi\) | |||||||
\(228\) | −4.05806 | + | 0.583461i | −0.268752 | + | 0.0386407i | ||||
\(229\) | −16.7178 | −1.10475 | −0.552373 | − | 0.833597i | \(-0.686277\pi\) | ||||
−0.552373 | + | 0.833597i | \(0.686277\pi\) | |||||||
\(230\) | 6.41499 | + | 8.59348i | 0.422992 | + | 0.566637i | ||||
\(231\) | −0.184708 | −0.0121529 | ||||||||
\(232\) | −1.04793 | + | 0.150670i | −0.0688001 | + | 0.00989196i | ||||
\(233\) | 12.2788 | + | 5.60756i | 0.804414 | + | 0.367364i | 0.774807 | − | 0.632198i | \(-0.217847\pi\) |
0.0296072 | + | 0.999562i | \(0.490574\pi\) | |||||||
\(234\) | −1.00027 | + | 0.293705i | −0.0653896 | + | 0.0192001i | ||||
\(235\) | 7.33650 | − | 12.5923i | 0.478580 | − | 0.821434i | ||||
\(236\) | 2.71493 | + | 0.797175i | 0.176727 | + | 0.0518917i | ||||
\(237\) | −6.09709 | − | 9.48726i | −0.396049 | − | 0.616264i | ||||
\(238\) | 0.0978970 | − | 0.0447081i | 0.00634572 | − | 0.00289799i | ||||
\(239\) | 3.74253 | + | 4.31911i | 0.242084 | + | 0.279380i | 0.863770 | − | 0.503887i | \(-0.168097\pi\) |
−0.621685 | + | 0.783267i | \(0.713552\pi\) | |||||||
\(240\) | −2.07260 | − | 0.839235i | −0.133786 | − | 0.0541724i | ||||
\(241\) | 1.77647 | − | 12.3556i | 0.114433 | − | 0.795896i | −0.849086 | − | 0.528255i | \(-0.822847\pi\) |
0.963519 | − | 0.267642i | \(-0.0862443\pi\) | |||||||
\(242\) | 23.4868 | + | 3.37690i | 1.50979 | + | 0.217075i | ||||
\(243\) | 0.540641 | − | 0.841254i | 0.0346821 | − | 0.0539664i | ||||
\(244\) | 1.05485 | + | 1.21736i | 0.0675299 | + | 0.0779337i | ||||
\(245\) | 12.7840 | − | 9.02775i | 0.816740 | − | 0.576762i | ||||
\(246\) | −0.674765 | + | 0.433645i | −0.0430214 | + | 0.0276482i | ||||
\(247\) | 1.20413 | − | 4.10089i | 0.0766170 | − | 0.260934i | ||||
\(248\) | −0.813992 | − | 0.705328i | −0.0516885 | − | 0.0447884i | ||||
\(249\) | −4.23419 | + | 1.24327i | −0.268331 | + | 0.0787891i | ||||
\(250\) | −1.46022 | − | 11.0846i | −0.0923521 | − | 0.701050i | ||||
\(251\) | −0.0224910 | − | 0.156428i | −0.00141962 | − | 0.00987366i | 0.989099 | − | 0.147250i | \(-0.0470422\pi\) |
−0.990519 | + | 0.137376i | \(0.956133\pi\) | |||||||
\(252\) | 0.0313432i | 0.00197444i | ||||||||
\(253\) | −17.9376 | + | 21.8402i | −1.12773 | + | 1.37308i | ||||
\(254\) | −13.2834 | −0.833475 | ||||||||
\(255\) | 7.26551 | − | 2.48260i | 0.454984 | − | 0.155467i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 5.04684 | + | 17.1880i | 0.314813 | + | 1.07216i | 0.953175 | + | 0.302419i | \(0.0977943\pi\) |
−0.638362 | + | 0.769737i | \(0.720388\pi\) | |||||||
\(258\) | 4.18889 | + | 3.62969i | 0.260789 | + | 0.225975i | ||||
\(259\) | 0.269048 | + | 0.0789997i | 0.0167178 | + | 0.00490880i | ||||
\(260\) | 1.69342 | − | 1.60198i | 0.105021 | − | 0.0993506i | ||||
\(261\) | 0.439803 | + | 0.963035i | 0.0272231 | + | 0.0596104i | ||||
\(262\) | 12.2519 | − | 10.6163i | 0.756923 | − | 0.655878i | ||||
\(263\) | −10.7046 | + | 16.6567i | −0.660075 | + | 1.02710i | 0.336277 | + | 0.941763i | \(0.390832\pi\) |
−0.996352 | + | 0.0853339i | \(0.972804\pi\) | |||||||
\(264\) | 0.838672 | − | 5.83309i | 0.0516167 | − | 0.359002i | ||||
\(265\) | −0.130535 | − | 2.98791i | −0.00801869 | − | 0.183546i | ||||
\(266\) | −0.108102 | − | 0.0694727i | −0.00662813 | − | 0.00425964i | ||||
\(267\) | 5.39796 | − | 4.67736i | 0.330350 | − | 0.286250i | ||||
\(268\) | 12.6996 | − | 5.79971i | 0.775751 | − | 0.354274i | ||||
\(269\) | 3.28404 | − | 2.11053i | 0.200232 | − | 0.128681i | −0.436683 | − | 0.899616i | \(-0.643847\pi\) |
0.636914 | + | 0.770934i | \(0.280210\pi\) | |||||||
\(270\) | −0.221320 | + | 2.22509i | −0.0134691 | + | 0.135415i | ||||
\(271\) | −1.70799 | + | 1.97113i | −0.103753 | + | 0.119737i | −0.805251 | − | 0.592934i | \(-0.797969\pi\) |
0.701498 | + | 0.712671i | \(0.252515\pi\) | |||||||
\(272\) | 0.967380 | + | 3.29460i | 0.0586561 | + | 0.199764i | ||||
\(273\) | −0.0297224 | − | 0.0135738i | −0.00179888 | − | 0.000821522i | ||||
\(274\) | −1.63822 | − | 11.3941i | −0.0989688 | − | 0.688343i | ||||
\(275\) | 27.4402 | − | 10.7353i | 1.65470 | − | 0.647362i | ||||
\(276\) | 3.70607 | + | 3.04385i | 0.223079 | + | 0.183218i | ||||
\(277\) | 14.9221i | 0.896579i | 0.893888 | + | 0.448290i | \(0.147967\pi\) | ||||
−0.893888 | + | 0.448290i | \(0.852033\pi\) | |||||||
\(278\) | 22.1134 | − | 3.17943i | 1.32627 | − | 0.190689i | ||||
\(279\) | −0.447429 | + | 0.979733i | −0.0267869 | + | 0.0586551i | ||||
\(280\) | −0.0318694 | − | 0.0624206i | −0.00190456 | − | 0.00373034i | ||||
\(281\) | 12.4596 | − | 14.3791i | 0.743275 | − | 0.857785i | −0.250623 | − | 0.968085i | \(-0.580636\pi\) |
0.993898 | + | 0.110299i | \(0.0351810\pi\) | |||||||
\(282\) | 1.83620 | − | 6.25353i | 0.109344 | − | 0.372392i | ||||
\(283\) | −1.69331 | − | 2.63485i | −0.100657 | − | 0.156625i | 0.787272 | − | 0.616606i | \(-0.211493\pi\) |
−0.887929 | + | 0.459981i | \(0.847856\pi\) | |||||||
\(284\) | −1.82589 | − | 3.99814i | −0.108347 | − | 0.237246i | ||||
\(285\) | −7.18369 | − | 5.69527i | −0.425525 | − | 0.337358i | ||||
\(286\) | 5.16826 | + | 3.32144i | 0.305605 | + | 0.196401i | ||||
\(287\) | −0.0248843 | − | 0.00357783i | −0.00146888 | − | 0.000211192i | ||||
\(288\) | −0.989821 | − | 0.142315i | −0.0583258 | − | 0.00838598i | ||||
\(289\) | 4.38278 | + | 2.81664i | 0.257810 | + | 0.165685i | ||||
\(290\) | −1.85508 | − | 1.47072i | −0.108934 | − | 0.0863634i | ||||
\(291\) | 1.22284 | + | 2.67764i | 0.0716841 | + | 0.156966i | ||||
\(292\) | −2.47648 | − | 3.85347i | −0.144925 | − | 0.225507i | ||||
\(293\) | −4.07702 | + | 13.8850i | −0.238182 | + | 0.811173i | 0.750464 | + | 0.660911i | \(0.229830\pi\) |
−0.988646 | + | 0.150262i | \(0.951988\pi\) | |||||||
\(294\) | 4.58338 | − | 5.28950i | 0.267308 | − | 0.308490i | ||||
\(295\) | 2.87704 | + | 5.63509i | 0.167508 | + | 0.328088i | ||||
\(296\) | −3.71644 | + | 8.13787i | −0.216014 | + | 0.473004i | ||||
\(297\) | −5.83309 | + | 0.838672i | −0.338470 | + | 0.0486647i | ||||
\(298\) | 20.6568i | 1.19662i | ||||||||
\(299\) | −4.49143 | + | 2.19623i | −0.259746 | + | 0.127011i | ||||
\(300\) | −1.82168 | − | 4.65634i | −0.105175 | − | 0.268834i | ||||
\(301\) | 0.0247237 | + | 0.171957i | 0.00142505 | + | 0.00991146i | ||||
\(302\) | −9.15318 | − | 4.18012i | −0.526706 | − | 0.240539i | ||||
\(303\) | −1.91698 | − | 6.52864i | −0.110128 | − | 0.375060i | ||||
\(304\) | 2.68479 | − | 3.09842i | 0.153983 | − | 0.177706i | ||||
\(305\) | −0.356503 | + | 3.58418i | −0.0204133 | + | 0.205229i | ||||
\(306\) | 2.88860 | − | 1.85639i | 0.165130 | − | 0.106123i | ||||
\(307\) | −22.1729 | + | 10.1260i | −1.26548 | + | 0.577924i | −0.931185 | − | 0.364546i | \(-0.881224\pi\) |
−0.334291 | + | 0.942470i | \(0.608497\pi\) | |||||||
\(308\) | 0.139593 | − | 0.120958i | 0.00795405 | − | 0.00689222i | ||||
\(309\) | 11.0321 | + | 7.08991i | 0.627595 | + | 0.403331i | ||||
\(310\) | −0.105117 | − | 2.40610i | −0.00597023 | − | 0.136657i | ||||
\(311\) | −2.33406 | + | 16.2337i | −0.132352 | + | 0.920531i | 0.810124 | + | 0.586258i | \(0.199400\pi\) |
−0.942477 | + | 0.334272i | \(0.891509\pi\) | |||||||
\(312\) | 0.563617 | − | 0.877004i | 0.0319085 | − | 0.0496506i | ||||
\(313\) | −9.17784 | + | 7.95264i | −0.518762 | + | 0.449510i | −0.874465 | − | 0.485089i | \(-0.838787\pi\) |
0.355703 | + | 0.934599i | \(0.384242\pi\) | |||||||
\(314\) | −2.42914 | − | 5.31907i | −0.137084 | − | 0.300172i | ||||
\(315\) | −0.0509135 | + | 0.0481643i | −0.00286865 | + | 0.00271375i | ||||
\(316\) | 10.8207 | + | 3.17725i | 0.608713 | + | 0.178734i | ||||
\(317\) | 6.84573 | + | 5.93186i | 0.384494 | + | 0.333166i | 0.825566 | − | 0.564306i | \(-0.190856\pi\) |
−0.441072 | + | 0.897472i | \(0.645402\pi\) | |||||||
\(318\) | −0.376819 | − | 1.28333i | −0.0211310 | − | 0.0719655i | ||||
\(319\) | 2.59180 | − | 5.67524i | 0.145113 | − | 0.317752i | ||||
\(320\) | 2.11595 | − | 0.723015i | 0.118285 | − | 0.0404178i | ||||
\(321\) | −6.08106 | −0.339412 | ||||||||
\(322\) | 0.0253117 | + | 0.148170i | 0.00141057 | + | 0.00825721i | ||||
\(323\) | 14.0774i | 0.783287i | ||||||||
\(324\) | 0.142315 | + | 0.989821i | 0.00790638 | + | 0.0549901i | ||||
\(325\) | 5.20447 | + | 0.289039i | 0.288692 | + | 0.0160330i | ||||
\(326\) | 17.1163 | − | 5.02581i | 0.947986 | − | 0.278354i | ||||
\(327\) | −4.76592 | − | 4.12969i | −0.263556 | − | 0.228372i | ||||
\(328\) | 0.225976 | − | 0.769604i | 0.0124774 | − | 0.0424943i | ||||
\(329\) | 0.171852 | − | 0.110442i | 0.00947449 | − | 0.00608888i | ||||
\(330\) | 10.7640 | − | 7.60125i | 0.592537 | − | 0.418435i | ||||
\(331\) | −21.0571 | − | 24.3011i | −1.15740 | − | 1.33571i | −0.932432 | − | 0.361346i | \(-0.882317\pi\) |
−0.224969 | − | 0.974366i | \(-0.572228\pi\) | |||||||
\(332\) | 2.38582 | − | 3.71241i | 0.130939 | − | 0.203745i | ||||
\(333\) | 8.85527 | + | 1.27320i | 0.485266 | + | 0.0697707i | ||||
\(334\) | −1.90878 | + | 13.2758i | −0.104444 | + | 0.726422i | ||||
\(335\) | 28.9361 | + | 11.7168i | 1.58095 | + | 0.640155i | ||||
\(336\) | −0.0205254 | − | 0.0236876i | −0.00111975 | − | 0.00129227i | ||||
\(337\) | 22.1096 | − | 10.0971i | 1.20438 | − | 0.550024i | 0.290843 | − | 0.956771i | \(-0.406064\pi\) |
0.913541 | + | 0.406747i | \(0.133337\pi\) | |||||||
\(338\) | −6.44076 | − | 10.0220i | −0.350331 | − | 0.545126i | ||||
\(339\) | 14.5498 | + | 4.27221i | 0.790237 | + | 0.232035i | ||||
\(340\) | −3.86514 | + | 6.63412i | −0.209617 | + | 0.359786i | ||||
\(341\) | 6.09012 | − | 1.78822i | 0.329799 | − | 0.0968376i | ||||
\(342\) | −3.72930 | − | 1.70312i | −0.201658 | − | 0.0920939i | ||||
\(343\) | 0.434308 | − | 0.0624441i | 0.0234504 | − | 0.00337166i | ||||
\(344\) | −5.54269 | −0.298842 | ||||||||
\(345\) | 0.750649 | + | 10.6975i | 0.0404136 | + | 0.575934i | ||||
\(346\) | 3.39392 | 0.182458 | ||||||||
\(347\) | 18.2226 | − | 2.62001i | 0.978238 | − | 0.140649i | 0.365394 | − | 0.930853i | \(-0.380934\pi\) |
0.612845 | + | 0.790204i | \(0.290025\pi\) | |||||||
\(348\) | −0.963035 | − | 0.439803i | −0.0516241 | − | 0.0235759i | ||||
\(349\) | 17.0145 | − | 4.99592i | 0.910768 | − | 0.267426i | 0.207404 | − | 0.978255i | \(-0.433499\pi\) |
0.703364 | + | 0.710830i | \(0.251680\pi\) | |||||||
\(350\) | 0.0524222 | − | 0.147688i | 0.00280208 | − | 0.00789427i | ||||
\(351\) | −1.00027 | − | 0.293705i | −0.0533904 | − | 0.0156768i | ||||
\(352\) | 3.18604 | + | 4.95757i | 0.169816 | + | 0.264240i | ||||
\(353\) | −5.69687 | + | 2.60167i | −0.303214 | + | 0.138473i | −0.561212 | − | 0.827672i | \(-0.689665\pi\) |
0.257998 | + | 0.966146i | \(0.416937\pi\) | |||||||
\(354\) | 1.85296 | + | 2.13843i | 0.0984836 | + | 0.113656i | ||||
\(355\) | 3.68872 | − | 9.10980i | 0.195777 | − | 0.483498i | ||||
\(356\) | −1.01649 | + | 7.06983i | −0.0538737 | + | 0.374700i | ||||
\(357\) | 0.106527 | + | 0.0153163i | 0.00563802 | + | 0.000810625i | ||||
\(358\) | −0.904759 | + | 1.40783i | −0.0478180 | + | 0.0744062i | ||||
\(359\) | −18.5465 | − | 21.4038i | −0.978846 | − | 1.12965i | −0.991549 | − | 0.129730i | \(-0.958589\pi\) |
0.0127030 | − | 0.999919i | \(-0.495956\pi\) | |||||||
\(360\) | −1.28986 | − | 1.82654i | −0.0679816 | − | 0.0962673i | ||||
\(361\) | −1.84378 | + | 1.18493i | −0.0970411 | + | 0.0623645i | ||||
\(362\) | 6.25154 | − | 21.2908i | 0.328574 | − | 1.11902i | ||||
\(363\) | 17.9327 | + | 15.5388i | 0.941223 | + | 0.815574i | ||||
\(364\) | 0.0313516 | − | 0.00920567i | 0.00164327 | − | 0.000482508i | ||||
\(365\) | 2.45398 | − | 9.94429i | 0.128447 | − | 0.520508i | ||||
\(366\) | 0.229241 | + | 1.59441i | 0.0119826 | + | 0.0833410i | ||||
\(367\) | 7.03965i | 0.367467i | 0.982976 | + | 0.183733i | \(0.0588183\pi\) | ||||
−0.982976 | + | 0.183733i | \(0.941182\pi\) | |||||||
\(368\) | −4.79416 | + | 0.126575i | −0.249913 | + | 0.00659816i | ||||
\(369\) | −0.802095 | −0.0417554 | ||||||||
\(370\) | −18.9300 | + | 6.46833i | −0.984124 | + | 0.336273i | ||||
\(371\) | 0.0174149 | − | 0.0381334i | 0.000904138 | − | 0.00197979i | ||||
\(372\) | −0.303444 | − | 1.03344i | −0.0157329 | − | 0.0535812i | ||||
\(373\) | −16.8402 | − | 14.5921i | −0.871950 | − | 0.755549i | 0.0989353 | − | 0.995094i | \(-0.468456\pi\) |
−0.970885 | + | 0.239545i | \(0.923002\pi\) | |||||||
\(374\) | −19.4153 | − | 5.70085i | −1.00394 | − | 0.294784i | ||||
\(375\) | 4.76436 | − | 10.1144i | 0.246031 | − | 0.522305i | ||||
\(376\) | 2.70748 | + | 5.92856i | 0.139628 | + | 0.305742i | ||||
\(377\) | 0.834121 | − | 0.722770i | 0.0429594 | − | 0.0372246i | ||||
\(378\) | −0.0169454 | + | 0.0263676i | −0.000871578 | + | 0.00135620i | ||||
\(379\) | 2.39972 | − | 16.6904i | 0.123266 | − | 0.857331i | −0.830551 | − | 0.556942i | \(-0.811975\pi\) |
0.953817 | − | 0.300389i | \(-0.0971164\pi\) | |||||||
\(380\) | 9.15868 | − | 0.400122i | 0.469830 | − | 0.0205258i | ||||
\(381\) | −11.1747 | − | 7.18156i | −0.572498 | − | 0.367922i | ||||
\(382\) | −3.73719 | + | 3.23829i | −0.191211 | + | 0.165685i | ||||
\(383\) | 31.7658 | − | 14.5069i | 1.62316 | − | 0.741270i | 0.623963 | − | 0.781454i | \(-0.285522\pi\) |
0.999192 | + | 0.0401838i | \(0.0127943\pi\) | |||||||
\(384\) | 0.841254 | − | 0.540641i | 0.0429300 | − | 0.0275895i | ||||
\(385\) | 0.410991 | + | 0.0408796i | 0.0209461 | + | 0.00208342i | ||||
\(386\) | −2.43614 | + | 2.81146i | −0.123996 | + | 0.143100i | ||||
\(387\) | 1.56156 | + | 5.31817i | 0.0793784 | + | 0.270338i | ||||
\(388\) | −2.67764 | − | 1.22284i | −0.135937 | − | 0.0620802i | ||||
\(389\) | −2.37291 | − | 16.5040i | −0.120311 | − | 0.836784i | −0.957203 | − | 0.289416i | \(-0.906539\pi\) |
0.836892 | − | 0.547368i | \(-0.184370\pi\) | |||||||
\(390\) | 2.29069 | − | 0.432141i | 0.115994 | − | 0.0218823i | ||||
\(391\) | 12.1563 | − | 11.1085i | 0.614768 | − | 0.561783i | ||||
\(392\) | 6.99902i | 0.353504i | ||||||||
\(393\) | 16.0465 | − | 2.30714i | 0.809441 | − | 0.116380i | ||||
\(394\) | 3.33885 | − | 7.31107i | 0.168209 | − | 0.368326i | ||||
\(395\) | 11.4668 | + | 22.4594i | 0.576960 | + | 1.13006i | ||||
\(396\) | 3.85915 | − | 4.45369i | 0.193929 | − | 0.223806i | ||||
\(397\) | −7.92824 | + | 27.0011i | −0.397907 | + | 1.35515i | 0.480400 | + | 0.877050i | \(0.340492\pi\) |
−0.878307 | + | 0.478097i | \(0.841327\pi\) | |||||||
\(398\) | −12.8808 | − | 20.0430i | −0.645658 | − | 1.00466i | ||||
\(399\) | −0.0533811 | − | 0.116888i | −0.00267240 | − | 0.00585173i | ||||
\(400\) | 4.42599 | + | 2.32608i | 0.221299 | + | 0.116304i | ||||
\(401\) | −33.4502 | − | 21.4972i | −1.67042 | − | 1.07352i | −0.899888 | − | 0.436122i | \(-0.856352\pi\) |
−0.770537 | − | 0.637395i | \(-0.780012\pi\) | |||||||
\(402\) | 13.8191 | + | 1.98689i | 0.689236 | + | 0.0990971i | ||||
\(403\) | 1.11141 | + | 0.159796i | 0.0553632 | + | 0.00796003i | ||||
\(404\) | 5.72411 | + | 3.67866i | 0.284785 | + | 0.183020i | ||||
\(405\) | −1.38916 | + | 1.75221i | −0.0690279 | + | 0.0870679i | ||||
\(406\) | −0.0137848 | − | 0.0301846i | −0.000684131 | − | 0.00149804i | ||||
\(407\) | −28.5034 | − | 44.3521i | −1.41286 | − | 2.19845i | ||||
\(408\) | −0.967380 | + | 3.29460i | −0.0478925 | + | 0.163107i | ||||
\(409\) | 13.9389 | − | 16.0863i | 0.689232 | − | 0.795417i | −0.298023 | − | 0.954559i | \(-0.596327\pi\) |
0.987256 | + | 0.159142i | \(0.0508728\pi\) | |||||||
\(410\) | 1.59739 | − | 0.815560i | 0.0788893 | − | 0.0402776i | ||||
\(411\) | 4.78195 | − | 10.4710i | 0.235876 | − | 0.516497i | ||||
\(412\) | −12.9804 | + | 1.86630i | −0.639499 | + | 0.0919461i | ||||
\(413\) | 0.0886870i | 0.00436400i | ||||||||
\(414\) | 1.47212 | + | 4.56430i | 0.0723507 | + | 0.224323i | ||||
\(415\) | 9.69661 | − | 1.82927i | 0.475988 | − | 0.0897956i | ||||
\(416\) | 0.148363 | + | 1.03189i | 0.00727409 | + | 0.0505924i | ||||
\(417\) | 20.3219 | + | 9.28070i | 0.995168 | + | 0.454478i | ||||
\(418\) | 6.80677 | + | 23.1817i | 0.332930 | + | 1.13386i | ||||
\(419\) | −22.9085 | + | 26.4379i | −1.11916 | + | 1.29157i | −0.167001 | + | 0.985957i | \(0.553408\pi\) |
−0.952154 | + | 0.305618i | \(0.901137\pi\) | |||||||
\(420\) | 0.00693688 | − | 0.0697414i | 0.000338485 | − | 0.00340303i | ||||
\(421\) | 4.11019 | − | 2.64146i | 0.200318 | − | 0.128737i | −0.436636 | − | 0.899638i | \(-0.643830\pi\) |
0.636954 | + | 0.770901i | \(0.280194\pi\) | |||||||
\(422\) | 15.6432 | − | 7.14403i | 0.761501 | − | 0.347766i | ||||
\(423\) | 4.92562 | − | 4.26808i | 0.239492 | − | 0.207521i | ||||
\(424\) | 1.12518 | + | 0.723111i | 0.0546437 | + | 0.0351174i | ||||
\(425\) | −16.7158 | + | 3.91601i | −0.810837 | + | 0.189954i | ||||
\(426\) | 0.625522 | − | 4.35060i | 0.0303066 | − | 0.210787i | ||||
\(427\) | −0.0272957 | + | 0.0424730i | −0.00132093 | + | 0.00205541i | ||||
\(428\) | 4.59576 | − | 3.98225i | 0.222144 | − | 0.192489i | ||||
\(429\) | 2.55211 | + | 5.58834i | 0.123217 | + | 0.269808i | ||||
\(430\) | −8.51732 | − | 9.00347i | −0.410742 | − | 0.434186i | ||||
\(431\) | 10.7745 | + | 3.16367i | 0.518987 | + | 0.152388i | 0.530727 | − | 0.847543i | \(-0.321919\pi\) |
−0.0117400 | + | 0.999931i | \(0.503737\pi\) | |||||||
\(432\) | −0.755750 | − | 0.654861i | −0.0363610 | − | 0.0315070i | ||||
\(433\) | −4.74614 | − | 16.1639i | −0.228085 | − | 0.776785i | −0.991412 | − | 0.130774i | \(-0.958254\pi\) |
0.763328 | − | 0.646012i | \(-0.223564\pi\) | |||||||
\(434\) | 0.0140239 | − | 0.0307080i | 0.000673167 | − | 0.00147403i | ||||
\(435\) | −0.765462 | − | 2.24018i | −0.0367011 | − | 0.107408i | ||||
\(436\) | 6.30621 | 0.302013 | ||||||||
\(437\) | −19.0051 | − | 5.03956i | −0.909137 | − | 0.241075i | ||||
\(438\) | − | 4.58063i | − | 0.218871i | ||||||
\(439\) | −2.72052 | − | 18.9216i | −0.129843 | − | 0.903079i | −0.945750 | − | 0.324895i | \(-0.894671\pi\) |
0.815907 | − | 0.578183i | \(-0.196238\pi\) | |||||||
\(440\) | −3.15710 | + | 12.7935i | −0.150509 | + | 0.609908i | ||||
\(441\) | 6.71551 | − | 1.97185i | 0.319786 | − | 0.0938977i | ||||
\(442\) | −2.70529 | − | 2.34414i | −0.128677 | − | 0.111500i | ||||
\(443\) | −1.95061 | + | 6.64316i | −0.0926762 | + | 0.315626i | −0.992764 | − | 0.120083i | \(-0.961684\pi\) |
0.900088 | + | 0.435709i | \(0.143502\pi\) | |||||||
\(444\) | −7.52613 | + | 4.83675i | −0.357174 | + | 0.229542i | ||||
\(445\) | −13.0461 | + | 9.21286i | −0.618446 | + | 0.436732i | ||||
\(446\) | 16.5046 | + | 19.0473i | 0.781514 | + | 0.901916i | ||||
\(447\) | −11.1679 | + | 17.3776i | −0.528224 | + | 0.821933i | ||||
\(448\) | 0.0310242 | + | 0.00446060i | 0.00146575 | + | 0.000210744i | ||||
\(449\) | −2.31880 | + | 16.1276i | −0.109431 | + | 0.761110i | 0.859027 | + | 0.511931i | \(0.171070\pi\) |
−0.968458 | + | 0.249179i | \(0.919839\pi\) | |||||||
\(450\) | 0.984914 | − | 4.90203i | 0.0464293 | − | 0.231084i | ||||
\(451\) | 3.09540 | + | 3.57228i | 0.145757 | + | 0.168212i | ||||
\(452\) | −13.7937 | + | 6.29938i | −0.648802 | + | 0.296298i | ||||
\(453\) | −5.44020 | − | 8.46512i | −0.255603 | − | 0.397726i | ||||
\(454\) | 22.0574 | + | 6.47664i | 1.03521 | + | 0.303964i | ||||
\(455\) | 0.0631308 | + | 0.0367810i | 0.00295962 | + | 0.00172432i | ||||
\(456\) | 3.93372 | − | 1.15504i | 0.184213 | − | 0.0540899i | ||||
\(457\) | −16.1234 | − | 7.36332i | −0.754222 | − | 0.344442i | 0.000922809 | − | 1.00000i | \(-0.499706\pi\) |
−0.755145 | + | 0.655558i | \(0.772434\pi\) | |||||||
\(458\) | 16.5477 | − | 2.37920i | 0.773222 | − | 0.111173i | ||||
\(459\) | 3.43368 | 0.160271 | ||||||||
\(460\) | −7.57268 | − | 7.59306i | −0.353078 | − | 0.354028i | ||||
\(461\) | 32.3645 | 1.50736 | 0.753682 | − | 0.657240i | \(-0.228276\pi\) | ||||
0.753682 | + | 0.657240i | \(0.228276\pi\) | |||||||
\(462\) | 0.182828 | − | 0.0262867i | 0.00850592 | − | 0.00122297i | ||||
\(463\) | −14.4610 | − | 6.60410i | −0.672058 | − | 0.306918i | 0.0500022 | − | 0.998749i | \(-0.484077\pi\) |
−0.722060 | + | 0.691831i | \(0.756804\pi\) | |||||||
\(464\) | 1.01582 | − | 0.298273i | 0.0471584 | − | 0.0138470i | ||||
\(465\) | 1.21240 | − | 2.08097i | 0.0562239 | − | 0.0965026i | ||||
\(466\) | −12.9519 | − | 3.80302i | −0.599985 | − | 0.176172i | ||||
\(467\) | 7.39382 | + | 11.5050i | 0.342145 | + | 0.532388i | 0.969100 | − | 0.246667i | \(-0.0793355\pi\) |
−0.626955 | + | 0.779055i | \(0.715699\pi\) | |||||||
\(468\) | 0.948289 | − | 0.433069i | 0.0438347 | − | 0.0200186i | ||||
\(469\) | 0.286561 | + | 0.330708i | 0.0132321 | + | 0.0152707i | ||||
\(470\) | −5.46974 | + | 13.5083i | −0.252300 | + | 0.623090i | ||||
\(471\) | 0.832185 | − | 5.78797i | 0.0383451 | − | 0.266696i | ||||
\(472\) | −2.80074 | − | 0.402686i | −0.128915 | − | 0.0185351i | ||||
\(473\) | 17.6592 | − | 27.4783i | 0.811972 | − | 1.26345i | ||||
\(474\) | 7.38521 | + | 8.52299i | 0.339214 | + | 0.391474i | ||||
\(475\) | 14.7239 | + | 14.2624i | 0.675577 | + | 0.654402i | ||||
\(476\) | −0.0905379 | + | 0.0581852i | −0.00414980 | + | 0.00266691i | ||||
\(477\) | 0.376819 | − | 1.28333i | 0.0172534 | − | 0.0587596i | ||||
\(478\) | −4.31911 | − | 3.74253i | −0.197552 | − | 0.171179i | ||||
\(479\) | −38.3174 | + | 11.2510i | −1.75077 | + | 0.514072i | −0.990735 | − | 0.135811i | \(-0.956636\pi\) |
−0.760034 | + | 0.649883i | \(0.774818\pi\) | |||||||
\(480\) | 2.17094 | + | 0.535731i | 0.0990895 | + | 0.0244526i | ||||
\(481\) | −1.32730 | − | 9.23159i | −0.0605198 | − | 0.420924i | ||||
\(482\) | 12.4827i | 0.568571i | ||||||||
\(483\) | −0.0588133 | + | 0.138333i | −0.00267610 | + | 0.00629439i | ||||
\(484\) | −23.7284 | −1.07856 | ||||||||
\(485\) | −2.12831 | − | 6.22863i | −0.0966415 | − | 0.282828i | ||||
\(486\) | −0.415415 | + | 0.909632i | −0.0188436 | + | 0.0412617i | ||||
\(487\) | 3.93389 | + | 13.3976i | 0.178261 | + | 0.607103i | 0.999341 | + | 0.0362895i | \(0.0115538\pi\) |
−0.821080 | + | 0.570813i | \(0.806628\pi\) | |||||||
\(488\) | −1.21736 | − | 1.05485i | −0.0551074 | − | 0.0477509i | ||||
\(489\) | 17.1163 | + | 5.02581i | 0.774028 | + | 0.227275i | ||||
\(490\) | −11.3691 | + | 10.7552i | −0.513604 | + | 0.485871i | ||||
\(491\) | 13.8866 | + | 30.4075i | 0.626695 | + | 1.37227i | 0.910548 | + | 0.413404i | \(0.135660\pi\) |
−0.283852 | + | 0.958868i | \(0.591613\pi\) | |||||||
\(492\) | 0.606183 | − | 0.525260i | 0.0273288 | − | 0.0236806i | ||||
\(493\) | −1.96538 | + | 3.05818i | −0.0885160 | + | 0.137734i | ||||
\(494\) | −0.608257 | + | 4.23052i | −0.0273668 | + | 0.190340i | ||||
\(495\) | 13.1648 | − | 0.575138i | 0.591712 | − | 0.0258505i | ||||
\(496\) | 0.906085 | + | 0.582306i | 0.0406844 | + | 0.0261463i | ||||
\(497\) | 0.104115 | − | 0.0902163i | 0.00467020 | − | 0.00404675i | ||||
\(498\) | 4.01416 | − | 1.83320i | 0.179879 | − | 0.0821478i | ||||
\(499\) | 5.75885 | − | 3.70099i | 0.257802 | − | 0.165679i | −0.405356 | − | 0.914159i | \(-0.632852\pi\) |
0.663157 | + | 0.748480i | \(0.269216\pi\) | |||||||
\(500\) | 3.02285 | + | 10.7639i | 0.135186 | + | 0.481378i | ||||
\(501\) | −8.78323 | + | 10.1364i | −0.392406 | + | 0.452860i | ||||
\(502\) | 0.0445241 | + | 0.151635i | 0.00198721 | + | 0.00676781i | ||||
\(503\) | 29.7300 | + | 13.5773i | 1.32560 | + | 0.605380i | 0.947313 | − | 0.320310i | \(-0.103787\pi\) |
0.378284 | + | 0.925690i | \(0.376514\pi\) | |||||||
\(504\) | −0.00446060 | − | 0.0310242i | −0.000198691 | − | 0.00138193i | ||||
\(505\) | 2.82053 | + | 14.9511i | 0.125512 | + | 0.665313i | ||||
\(506\) | 14.6469 | − | 24.1707i | 0.651133 | − | 1.07452i | ||||
\(507\) | − | 11.9132i | − | 0.529084i | ||||||
\(508\) | 13.1482 | − | 1.89043i | 0.583357 | − | 0.0838741i | ||||
\(509\) | 7.21088 | − | 15.7896i | 0.319617 | − | 0.699863i | −0.679821 | − | 0.733378i | \(-0.737943\pi\) |
0.999438 | + | 0.0335145i | \(0.0106700\pi\) | |||||||
\(510\) | −6.83824 | + | 3.49132i | −0.302802 | + | 0.154598i | ||||
\(511\) | 0.0940194 | − | 0.108504i | 0.00415918 | − | 0.00479994i | ||||
\(512\) | −0.281733 | + | 0.959493i | −0.0124509 | + | 0.0424040i | ||||
\(513\) | −2.21651 | − | 3.44896i | −0.0978615 | − | 0.152276i | ||||
\(514\) | −7.44157 | − | 16.2948i | −0.328234 | − | 0.718732i | ||||
\(515\) | −22.9783 | − | 18.2173i | −1.01254 | − | 0.802750i | ||||
\(516\) | −4.66281 | − | 2.99661i | −0.205269 | − | 0.131918i | ||||
\(517\) | −38.0174 | − | 5.46608i | −1.67200 | − | 0.240398i | ||||
\(518\) | −0.277553 | − | 0.0399060i | −0.0121950 | − | 0.00175337i | ||||
\(519\) | 2.85515 | + | 1.83489i | 0.125327 | + | 0.0805428i | ||||
\(520\) | −1.44820 | + | 1.82667i | −0.0635076 | + | 0.0801049i | ||||
\(521\) | 1.24899 | + | 2.73490i | 0.0547191 | + | 0.119818i | 0.935017 | − | 0.354604i | \(-0.115384\pi\) |
−0.880297 | + | 0.474422i | \(0.842657\pi\) | |||||||
\(522\) | −0.572381 | − | 0.890642i | −0.0250524 | − | 0.0389823i | ||||
\(523\) | −0.698044 | + | 2.37732i | −0.0305234 | + | 0.103953i | −0.973346 | − | 0.229342i | \(-0.926342\pi\) |
0.942822 | + | 0.333295i | \(0.108161\pi\) | |||||||
\(524\) | −10.6163 | + | 12.2519i | −0.463776 | + | 0.535226i | ||||
\(525\) | 0.123947 | − | 0.0959017i | 0.00540948 | − | 0.00418549i | ||||
\(526\) | 8.22516 | − | 18.0106i | 0.358634 | − | 0.785299i | ||||
\(527\) | −3.66066 | + | 0.526323i | −0.159461 | + | 0.0229270i | ||||
\(528\) | 5.89308i | 0.256463i | ||||||||
\(529\) | 10.6452 | + | 20.3882i | 0.462835 | + | 0.886445i | ||||
\(530\) | 0.554430 | + | 2.93892i | 0.0240829 | + | 0.127658i | ||||
\(531\) | 0.402686 | + | 2.80074i | 0.0174751 | + | 0.121542i | ||||
\(532\) | 0.116888 | + | 0.0533811i | 0.00506775 | + | 0.00231436i | ||||
\(533\) | 0.235580 | + | 0.802310i | 0.0102041 | + | 0.0347519i | ||||
\(534\) | −4.67736 | + | 5.39796i | −0.202409 | + | 0.233593i | ||||
\(535\) | 13.5309 | + | 1.34586i | 0.584992 | + | 0.0581867i | ||||
\(536\) | −11.7449 | + | 7.54802i | −0.507304 | + | 0.326025i | ||||
\(537\) | −1.52226 | + | 0.695194i | −0.0656905 | + | 0.0299998i | ||||
\(538\) | −2.95026 | + | 2.55641i | −0.127195 | + | 0.110215i | ||||
\(539\) | −34.6981 | − | 22.2991i | −1.49455 | − | 0.960492i | ||||
\(540\) | −0.0975956 | − | 2.23394i | −0.00419985 | − | 0.0961333i | ||||
\(541\) | −3.52835 | + | 24.5402i | −0.151696 | + | 1.05507i | 0.761681 | + | 0.647952i | \(0.224374\pi\) |
−0.913377 | + | 0.407115i | \(0.866535\pi\) | |||||||
\(542\) | 1.41009 | − | 2.19414i | 0.0605684 | − | 0.0942463i | ||||
\(543\) | 16.7698 | − | 14.5311i | 0.719661 | − | 0.623590i | ||||
\(544\) | −1.42640 | − | 3.12339i | −0.0611566 | − | 0.133914i | ||||
\(545\) | 9.69060 | + | 10.2437i | 0.415100 | + | 0.438793i | ||||
\(546\) | 0.0313516 | + | 0.00920567i | 0.00134173 | + | 0.000393966i | ||||
\(547\) | −9.72526 | − | 8.42698i | −0.415822 | − | 0.360312i | 0.421681 | − | 0.906744i | \(-0.361440\pi\) |
−0.837503 | + | 0.546432i | \(0.815986\pi\) | |||||||
\(548\) | 3.24310 | + | 11.0450i | 0.138538 | + | 0.471818i | ||||
\(549\) | −0.669151 | + | 1.46524i | −0.0285587 | + | 0.0625348i | ||||
\(550\) | −25.6331 | + | 14.5312i | −1.09300 | + | 0.619611i | ||||
\(551\) | 4.34048 | 0.184911 | ||||||||
\(552\) | −4.10154 | − | 2.48544i | −0.174573 | − | 0.105787i | ||||
\(553\) | 0.353474i | 0.0150312i | ||||||||
\(554\) | −2.12363 | − | 14.7702i | −0.0902244 | − | 0.627524i | ||||
\(555\) | −19.4220 | − | 4.79282i | −0.824417 | − | 0.203444i | ||||
\(556\) | −21.4358 | + | 6.29413i | −0.909082 | + | 0.266931i | ||||
\(557\) | 19.8379 | + | 17.1896i | 0.840557 | + | 0.728347i | 0.964540 | − | 0.263938i | \(-0.0850214\pi\) |
−0.123983 | + | 0.992284i | \(0.539567\pi\) | |||||||
\(558\) | 0.303444 | − | 1.03344i | 0.0128458 | − | 0.0437489i | ||||
\(559\) | 4.86096 | − | 3.12395i | 0.205597 | − | 0.132129i | ||||
\(560\) | 0.0404284 | + | 0.0572497i | 0.00170841 | + | 0.00241924i | ||||
\(561\) | −13.2511 | − | 15.2926i | −0.559461 | − | 0.645653i | ||||
\(562\) | −10.2864 | + | 16.0059i | −0.433905 | + | 0.675169i | ||||
\(563\) | 0.496190 | + | 0.0713414i | 0.0209119 | + | 0.00300668i | 0.152763 | − | 0.988263i | \(-0.451183\pi\) |
−0.131851 | + | 0.991270i | \(0.542092\pi\) | |||||||
\(564\) | −0.927542 | + | 6.45120i | −0.0390566 | + | 0.271644i | ||||
\(565\) | −31.4291 | − | 12.7262i | −1.32223 | − | 0.535396i | ||||
\(566\) | 2.05105 | + | 2.36704i | 0.0862123 | + | 0.0994943i | ||||
\(567\) | −0.0285108 | + | 0.0130204i | −0.00119734 | + | 0.000546807i | ||||
\(568\) | 2.37630 | + | 3.69760i | 0.0997073 | + | 0.155148i | ||||
\(569\) | −2.03114 | − | 0.596398i | −0.0851500 | − | 0.0250023i | 0.238880 | − | 0.971049i | \(-0.423220\pi\) |
−0.324030 | + | 0.946047i | \(0.605038\pi\) | |||||||
\(570\) | 7.92109 | + | 4.61495i | 0.331778 | + | 0.193299i | ||||
\(571\) | −19.3399 | + | 5.67872i | −0.809351 | + | 0.237647i | −0.660125 | − | 0.751156i | \(-0.729497\pi\) |
−0.149226 | + | 0.988803i | \(0.547678\pi\) | |||||||
\(572\) | −5.58834 | − | 2.55211i | −0.233660 | − | 0.106709i | ||||
\(573\) | −4.89467 | + | 0.703748i | −0.204478 | + | 0.0293995i | ||||
\(574\) | 0.0251402 | 0.00104933 | ||||||||
\(575\) | 0.697313 | − | 23.9690i | 0.0290800 | − | 0.999577i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −42.0772 | + | 6.04978i | −1.75170 | + | 0.251856i | −0.942147 | − | 0.335199i | \(-0.891197\pi\) |
−0.809548 | + | 0.587054i | \(0.800287\pi\) | |||||||
\(578\) | −4.73902 | − | 2.16424i | −0.197117 | − | 0.0900204i | ||||
\(579\) | −3.56940 | + | 1.04807i | −0.148339 | + | 0.0435564i | ||||
\(580\) | 2.04550 | + | 1.19174i | 0.0849348 | + | 0.0494843i | ||||
\(581\) | 0.132713 | + | 0.0389681i | 0.00550587 | + | 0.00161667i | ||||
\(582\) | −1.59146 | − | 2.47636i | −0.0659682 | − | 0.102648i | ||||
\(583\) | −7.16975 | + | 3.27432i | −0.296941 | + | 0.135608i | ||||
\(584\) | 2.99968 | + | 3.46181i | 0.124127 | + | 0.143251i | ||||
\(585\) | 2.16068 | + | 0.874900i | 0.0893333 | + | 0.0361727i | ||||
\(586\) | 2.05947 | − | 14.3239i | 0.0850759 | − | 0.591716i | ||||
\(587\) | −10.9066 | − | 1.56813i | −0.450162 | − | 0.0647235i | −0.0864943 | − | 0.996252i | \(-0.527566\pi\) |
−0.363667 | + | 0.931529i | \(0.618476\pi\) | |||||||
\(588\) | −3.78395 | + | 5.88795i | −0.156048 | + | 0.242815i | ||||
\(589\) | 2.89170 | + | 3.33720i | 0.119150 | + | 0.137507i | ||||
\(590\) | −3.64972 | − | 5.16829i | −0.150256 | − | 0.212775i | ||||
\(591\) | 6.76148 | − | 4.34534i | 0.278130 | − | 0.178743i | ||||
\(592\) | 2.52047 | − | 8.58394i | 0.103591 | − | 0.352798i | ||||
\(593\) | 23.8915 | + | 20.7021i | 0.981108 | + | 0.850135i | 0.988711 | − | 0.149836i | \(-0.0478746\pi\) |
−0.00760271 | + | 0.999971i | \(0.502420\pi\) | |||||||
\(594\) | 5.65437 | − | 1.66027i | 0.232001 | − | 0.0681218i | ||||
\(595\) | −0.233643 | − | 0.0576567i | −0.00957841 | − | 0.00236370i | ||||
\(596\) | −2.93977 | − | 20.4466i | −0.120418 | − | 0.837524i | ||||
\(597\) | − | 23.8251i | − | 0.975097i | ||||||
\(598\) | 4.13316 | − | 2.81307i | 0.169018 | − | 0.115035i | ||||
\(599\) | −40.3122 | −1.64711 | −0.823557 | − | 0.567234i | \(-0.808014\pi\) | ||||
−0.823557 | + | 0.567234i | \(0.808014\pi\) | |||||||
\(600\) | 2.46580 | + | 4.34969i | 0.100666 | + | 0.177575i | ||||
\(601\) | −8.92712 | + | 19.5477i | −0.364145 | + | 0.797366i | 0.635535 | + | 0.772072i | \(0.280779\pi\) |
−0.999680 | + | 0.0252941i | \(0.991948\pi\) | |||||||
\(602\) | −0.0489442 | − | 0.166689i | −0.00199482 | − | 0.00679372i | ||||
\(603\) | 10.5512 | + | 9.14267i | 0.429678 | + | 0.372318i | ||||
\(604\) | 9.65491 | + | 2.83494i | 0.392853 | + | 0.115352i | ||||
\(605\) | −36.4628 | − | 38.5440i | −1.48242 | − | 1.56704i | ||||
\(606\) | 2.82659 | + | 6.18937i | 0.114822 | + | 0.251426i | ||||
\(607\) | 31.2653 | − | 27.0915i | 1.26902 | − | 1.09961i | 0.278762 | − | 0.960360i | \(-0.410076\pi\) |
0.990257 | − | 0.139251i | \(-0.0444696\pi\) | |||||||
\(608\) | −2.21651 | + | 3.44896i | −0.0898915 | + | 0.139874i | ||||
\(609\) | 0.00472248 | − | 0.0328456i | 0.000191364 | − | 0.00133097i | ||||
\(610\) | −0.157207 | − | 3.59843i | −0.00636513 | − | 0.145696i | ||||
\(611\) | −5.71591 | − | 3.67339i | −0.231241 | − | 0.148609i | ||||
\(612\) | −2.59500 | + | 2.24858i | −0.104897 | + | 0.0908936i | ||||
\(613\) | 37.0409 | − | 16.9160i | 1.49607 | − | 0.683232i | 0.511670 | − | 0.859182i | \(-0.329027\pi\) |
0.984399 | + | 0.175950i | \(0.0562997\pi\) | |||||||
\(614\) | 20.5062 | − | 13.1785i | 0.827561 | − | 0.531841i | ||||
\(615\) | 1.78473 | + | 0.177520i | 0.0719673 | + | 0.00715829i | ||||
\(616\) | −0.120958 | + | 0.139593i | −0.00487354 | + | 0.00562436i | ||||
\(617\) | 10.1893 | + | 34.7017i | 0.410207 | + | 1.39704i | 0.862902 | + | 0.505372i | \(0.168645\pi\) |
−0.452695 | + | 0.891666i | \(0.649537\pi\) | |||||||
\(618\) | −11.9288 | − | 5.44771i | −0.479847 | − | 0.219139i | ||||
\(619\) | 4.71752 | + | 32.8111i | 0.189613 | + | 1.31879i | 0.833011 | + | 0.553257i | \(0.186615\pi\) |
−0.643397 | + | 0.765532i | \(0.722476\pi\) | |||||||
\(620\) | 0.446470 | + | 2.36665i | 0.0179307 | + | 0.0950468i | ||||
\(621\) | −1.22922 | + | 4.63562i | −0.0493270 | + | 0.186021i | ||||
\(622\) | − | 16.4007i | − | 0.657607i | ||||||
\(623\) | −0.221591 | + | 0.0318600i | −0.00887786 | + | 0.00127644i | ||||
\(624\) | −0.433069 | + | 0.948289i | −0.0173366 | + | 0.0379619i | ||||
\(625\) | −12.8396 | + | 21.4510i | −0.513586 | + | 0.858038i | ||||
\(626\) | 7.95264 | − | 9.17784i | 0.317851 | − | 0.366820i | ||||
\(627\) | −6.80677 | + | 23.1817i | −0.271836 | + | 0.925789i | ||||
\(628\) | 3.16139 | + | 4.91922i | 0.126153 | + | 0.196298i | ||||
\(629\) | 12.7611 | + | 27.9429i | 0.508817 | + | 1.11415i | ||||
\(630\) | 0.0435407 | − | 0.0549198i | 0.00173470 | − | 0.00218806i | ||||
\(631\) | 17.4220 | + | 11.1964i | 0.693557 | + | 0.445722i | 0.839349 | − | 0.543593i | \(-0.182937\pi\) |
−0.145792 | + | 0.989315i | \(0.546573\pi\) | |||||||
\(632\) | −11.1627 | − | 1.60496i | −0.444030 | − | 0.0638419i | ||||
\(633\) | 17.0223 | + | 2.44744i | 0.676575 | + | 0.0972768i | ||||
\(634\) | −7.62024 | − | 4.89723i | −0.302638 | − | 0.194494i | ||||
\(635\) | 23.2753 | + | 18.4528i | 0.923652 | + | 0.732276i | ||||
\(636\) | 0.555621 | + | 1.21664i | 0.0220318 | + | 0.0482429i | ||||
\(637\) | −3.94476 | − | 6.13817i | −0.156297 | − | 0.243203i | ||||
\(638\) | −1.75774 | + | 5.98633i | −0.0695897 | + | 0.237001i | ||||
\(639\) | 2.87834 | − | 3.32178i | 0.113865 | − | 0.131407i | ||||
\(640\) | −1.99152 | + | 1.01679i | −0.0787217 | + | 0.0401920i | ||||
\(641\) | −19.7792 | + | 43.3105i | −0.781232 | + | 1.71066i | −0.0810350 | + | 0.996711i | \(0.525823\pi\) |
−0.700197 | + | 0.713949i | \(0.746905\pi\) | |||||||
\(642\) | 6.01916 | − | 0.865425i | 0.237557 | − | 0.0341556i | ||||
\(643\) | 44.6802i | 1.76201i | 0.473103 | + | 0.881007i | \(0.343134\pi\) | ||||
−0.473103 | + | 0.881007i | \(0.656866\pi\) | |||||||
\(644\) | −0.0461409 | − | 0.143060i | −0.00181821 | − | 0.00563735i | ||||
\(645\) | −2.29758 | − | 12.1790i | −0.0904672 | − | 0.479548i | ||||
\(646\) | −2.00342 | − | 13.9341i | −0.0788235 | − | 0.548230i | ||||
\(647\) | −4.07349 | − | 1.86030i | −0.160145 | − | 0.0731359i | 0.333730 | − | 0.942669i | \(-0.391693\pi\) |
−0.493875 | + | 0.869533i | \(0.664420\pi\) | |||||||
\(648\) | −0.281733 | − | 0.959493i | −0.0110675 | − | 0.0376924i | ||||
\(649\) | 10.9196 | − | 12.6019i | 0.428633 | − | 0.494668i | ||||
\(650\) | −5.19263 | + | 0.454575i | −0.203672 | + | 0.0178299i | ||||
\(651\) | 0.0283996 | − | 0.0182513i | 0.00111307 | − | 0.000715326i | ||||
\(652\) | −16.2269 | + | 7.41056i | −0.635493 | + | 0.290220i | ||||
\(653\) | 24.5669 | − | 21.2874i | 0.961378 | − | 0.833039i | −0.0246366 | − | 0.999696i | \(-0.507843\pi\) |
0.986015 | + | 0.166658i | \(0.0532974\pi\) | |||||||
\(654\) | 5.30512 | + | 3.40940i | 0.207447 | + | 0.133318i | ||||
\(655\) | −36.2156 | + | 1.58218i | −1.41506 | + | 0.0618207i | ||||
\(656\) | −0.114150 | + | 0.793931i | −0.00445681 | + | 0.0309978i | ||||
\(657\) | 2.47648 | − | 3.85347i | 0.0966165 | − | 0.150338i | ||||
\(658\) | −0.154385 | + | 0.133775i | −0.00601855 | + | 0.00521510i | ||||
\(659\) | −0.151766 | − | 0.332320i | −0.00591195 | − | 0.0129454i | 0.906653 | − | 0.421877i | \(-0.138629\pi\) |
−0.912565 | + | 0.408932i | \(0.865901\pi\) | |||||||
\(660\) | −9.57263 | + | 9.05575i | −0.372614 | + | 0.352495i | ||||
\(661\) | −14.3267 | − | 4.20671i | −0.557246 | − | 0.163622i | −0.00903023 | − | 0.999959i | \(-0.502874\pi\) |
−0.548215 | + | 0.836337i | \(0.684693\pi\) | |||||||
\(662\) | 24.3011 | + | 21.0571i | 0.944491 | + | 0.818406i | ||||
\(663\) | −1.00849 | − | 3.43461i | −0.0391666 | − | 0.133389i | ||||
\(664\) | −1.83320 | + | 4.01416i | −0.0711421 | + | 0.155779i | ||||
\(665\) | 0.0929079 | + | 0.271901i | 0.00360281 | + | 0.0105439i | ||||
\(666\) | −8.94633 | −0.346663 | ||||||||
\(667\) | −3.42510 | − | 3.74814i | −0.132620 | − | 0.145129i | ||||
\(668\) | − | 13.4124i | − | 0.518940i | ||||||
\(669\) | 3.58679 | + | 24.9467i | 0.138673 | + | 0.964493i | ||||
\(670\) | −30.3091 | − | 7.47946i | −1.17094 | − | 0.288957i | ||||
\(671\) | 9.10807 | − | 2.67437i | 0.351613 | − | 0.103243i | ||||
\(672\) | 0.0236876 | + | 0.0205254i | 0.000913770 | + | 0.000791786i | ||||
\(673\) | −2.19619 | + | 7.47954i | −0.0846569 | + | 0.288315i | −0.990930 | − | 0.134377i | \(-0.957097\pi\) |
0.906273 | + | 0.422692i | \(0.138915\pi\) | |||||||
\(674\) | −20.4475 | + | 13.1408i | −0.787610 | + | 0.506166i | ||||
\(675\) | 3.47880 | − | 3.59137i | 0.133899 | − | 0.138232i | ||||
\(676\) | 7.80149 | + | 9.00340i | 0.300057 | + | 0.346284i | ||||
\(677\) | −5.06604 | + | 7.88291i | −0.194704 | + | 0.302965i | −0.924854 | − | 0.380321i | \(-0.875813\pi\) |
0.730151 | + | 0.683286i | \(0.239450\pi\) | |||||||
\(678\) | −15.0097 | − | 2.15807i | −0.576445 | − | 0.0828802i | ||||
\(679\) | 0.0131305 | − | 0.0913245i | 0.000503902 | − | 0.00350471i | ||||
\(680\) | 2.88167 | − | 7.11666i | 0.110507 | − | 0.272912i | ||||
\(681\) | 15.0543 | + | 17.3736i | 0.576883 | + | 0.665759i | ||||
\(682\) | −5.77364 | + | 2.63673i | −0.221084 | + | 0.100966i | ||||
\(683\) | −8.86212 | − | 13.7897i | −0.339100 | − | 0.527650i | 0.629264 | − | 0.777191i | \(-0.283356\pi\) |
−0.968364 | + | 0.249542i | \(0.919720\pi\) | |||||||
\(684\) | 3.93372 | + | 1.15504i | 0.150410 | + | 0.0441642i | ||||
\(685\) | −12.9577 | + | 22.2406i | −0.495089 | + | 0.849770i | ||||
\(686\) | −0.421001 | + | 0.123617i | −0.0160739 | + | 0.00471972i | ||||
\(687\) | 15.2071 | + | 6.94484i | 0.580186 | + | 0.264962i | ||||
\(688\) | 5.48627 | − | 0.788807i | 0.209162 | − | 0.0300730i | ||||
\(689\) | −1.39435 | −0.0531204 | ||||||||
\(690\) | −2.26542 | − | 10.4818i | −0.0862431 | − | 0.399035i | ||||
\(691\) | 28.8476 | 1.09742 | 0.548708 | − | 0.836014i | \(-0.315120\pi\) | ||||
0.548708 | + | 0.836014i | \(0.315120\pi\) | |||||||
\(692\) | −3.35938 | + | 0.483005i | −0.127704 | + | 0.0183611i | ||||
\(693\) | 0.168016 | + | 0.0767305i | 0.00638241 | + | 0.00291475i | ||||
\(694\) | −17.6642 | + | 5.18668i | −0.670525 | + | 0.196884i | ||||
\(695\) | −43.1640 | − | 25.1480i | −1.63730 | − | 0.953919i | ||||
\(696\) | 1.01582 | + | 0.298273i | 0.0385047 | + | 0.0113060i | ||||
\(697\) | −1.48900 | − | 2.31693i | −0.0563999 | − | 0.0877600i | ||||
\(698\) | −16.1304 | + | 7.36649i | −0.610544 | + | 0.278826i | ||||
\(699\) | −8.83977 | − | 10.2016i | −0.334351 | − | 0.385861i | ||||
\(700\) | −0.0308704 | + | 0.153645i | −0.00116679 | + | 0.00580725i | ||||
\(701\) | −2.45238 | + | 17.0567i | −0.0926251 | + | 0.644222i | 0.889631 | + | 0.456679i | \(0.150961\pi\) |
−0.982257 | + | 0.187542i | \(0.939948\pi\) | |||||||
\(702\) | 1.03189 | + | 0.148363i | 0.0389460 | + | 0.00559959i | ||||
\(703\) | 19.8297 | − | 30.8556i | 0.747890 | − | 1.16374i | ||||
\(704\) | −3.85915 | − | 4.45369i | −0.145447 | − | 0.167855i | ||||
\(705\) | −11.9046 | + | 8.40671i | −0.448352 | + | 0.316615i | ||||
\(706\) | 5.26863 | − | 3.38594i | 0.198287 | − | 0.127432i | ||||
\(707\) | −0.0600843 | + | 0.204628i | −0.00225970 | + | 0.00769584i | ||||
\(708\) | −2.13843 | − | 1.85296i | −0.0803670 | − | 0.0696384i | ||||
\(709\) | −40.8404 | + | 11.9918i | −1.53379 | + | 0.450362i | −0.936209 | − | 0.351444i | \(-0.885691\pi\) |
−0.597584 | + | 0.801806i | \(0.703873\pi\) | |||||||
\(710\) | −2.35472 | + | 9.54203i | −0.0883710 | + | 0.358106i | ||||
\(711\) | 1.60496 | + | 11.1627i | 0.0601907 | + | 0.418636i | ||||
\(712\) | − | 7.14253i | − | 0.267678i | ||||||
\(713\) | 0.599919 | − | 5.13047i | 0.0224671 | − | 0.192138i | ||||
\(714\) | −0.107623 | −0.00402768 | ||||||||
\(715\) | −4.44186 | − | 12.9994i | −0.166116 | − | 0.486149i | ||||
\(716\) | 0.695194 | − | 1.52226i | 0.0259806 | − | 0.0568896i | ||||
\(717\) | −1.61010 | − | 5.48351i | −0.0601304 | − | 0.204785i | ||||
\(718\) | 21.4038 | + | 18.5465i | 0.798782 | + | 0.692149i | ||||
\(719\) | −26.5550 | − | 7.79725i | −0.990334 | − | 0.290788i | −0.253850 | − | 0.967244i | \(-0.581697\pi\) |
−0.736484 | + | 0.676455i | \(0.763515\pi\) | |||||||
\(720\) | 1.53668 | + | 1.62439i | 0.0572685 | + | 0.0605373i | ||||
\(721\) | −0.170749 | − | 0.373887i | −0.00635901 | − | 0.0139243i | ||||
\(722\) | 1.65638 | − | 1.43526i | 0.0616441 | − | 0.0534149i | ||||
\(723\) | −6.74865 | + | 10.5011i | −0.250985 | + | 0.390540i | ||||
\(724\) | −3.15791 | + | 21.9638i | −0.117363 | + | 0.816277i | ||||
\(725\) | 1.20742 | + | 5.15400i | 0.0448426 | + | 0.191415i | ||||
\(726\) | −19.9616 | − | 12.8285i | −0.740843 | − | 0.476111i | ||||
\(727\) | 28.7373 | − | 24.9010i | 1.06581 | − | 0.923528i | 0.0685587 | − | 0.997647i | \(-0.478160\pi\) |
0.997249 | + | 0.0741191i | \(0.0236145\pi\) | |||||||
\(728\) | −0.0297224 | + | 0.0135738i | −0.00110159 | + | 0.000503077i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −1.01379 | + | 10.1923i | −0.0375219 | + | 0.377234i | ||||
\(731\) | −12.4632 | + | 14.3833i | −0.460968 | + | 0.531986i | ||||
\(732\) | −0.453815 | − | 1.54555i | −0.0167735 | − | 0.0571253i | ||||
\(733\) | 30.9947 | + | 14.1548i | 1.14482 | + | 0.522820i | 0.895261 | − | 0.445541i | \(-0.146989\pi\) |
0.249554 | + | 0.968361i | \(0.419716\pi\) | |||||||
\(734\) | −1.00185 | − | 6.96800i | −0.0369788 | − | 0.257193i | ||||
\(735\) | −15.3790 | + | 2.90127i | −0.567263 | + | 0.107015i | ||||
\(736\) | 4.72735 | − | 0.807567i | 0.174252 | − | 0.0297673i | ||||
\(737\) | − | 82.2747i | − | 3.03063i | ||||||
\(738\) | 0.793931 | − | 0.114150i | 0.0292250 | − | 0.00420192i | ||||
\(739\) | −2.01489 | + | 4.41199i | −0.0741189 | + | 0.162298i | −0.943065 | − | 0.332610i | \(-0.892071\pi\) |
0.868946 | + | 0.494908i | \(0.164798\pi\) | |||||||
\(740\) | 17.8168 | − | 9.09651i | 0.654958 | − | 0.334394i | ||||
\(741\) | −2.79889 | + | 3.23009i | −0.102820 | + | 0.118660i | ||||
\(742\) | −0.0118107 | + | 0.0402236i | −0.000433585 | + | 0.00147666i | ||||
\(743\) | −1.11441 | − | 1.73406i | −0.0408837 | − | 0.0636163i | 0.820210 | − | 0.572062i | \(-0.193856\pi\) |
−0.861094 | + | 0.508446i | \(0.830220\pi\) | |||||||
\(744\) | 0.447429 | + | 0.979733i | 0.0164035 | + | 0.0359188i | ||||
\(745\) | 28.6956 | − | 36.1951i | 1.05133 | − | 1.32608i | ||||
\(746\) | 18.7454 | + | 12.0469i | 0.686318 | + | 0.441070i | ||||
\(747\) | 4.36803 | + | 0.628028i | 0.159818 | + | 0.0229783i | ||||
\(748\) | 20.0290 | + | 2.87974i | 0.732333 | + | 0.105294i | ||||
\(749\) | 0.160343 | + | 0.103046i | 0.00585880 | + | 0.00376522i | ||||
\(750\) | −3.27644 | + | 10.6895i | −0.119639 | + | 0.390325i | ||||
\(751\) | −18.7213 | − | 40.9940i | −0.683151 | − | 1.49589i | −0.859270 | − | 0.511523i | \(-0.829082\pi\) |
0.176119 | − | 0.984369i | \(-0.443646\pi\) | |||||||
\(752\) | −3.52365 | − | 5.48290i | −0.128494 | − | 0.199941i | ||||
\(753\) | −0.0445241 | + | 0.151635i | −0.00162255 | + | 0.00552589i | ||||
\(754\) | −0.722770 | + | 0.834121i | −0.0263217 | + | 0.0303769i | ||||
\(755\) | 10.2314 | + | 20.0397i | 0.372360 | + | 0.729318i | ||||
\(756\) | 0.0130204 | − | 0.0285108i | 0.000473549 | − | 0.00103693i | ||||
\(757\) | −3.85023 | + | 0.553580i | −0.139939 | + | 0.0201202i | −0.211928 | − | 0.977285i | \(-0.567974\pi\) |
0.0719893 | + | 0.997405i | \(0.477065\pi\) | |||||||
\(758\) | 16.8621i | 0.612458i | ||||||||
\(759\) | 25.3894 | − | 12.4150i | 0.921576 | − | 0.450635i | ||||
\(760\) | −9.00851 | + | 1.69946i | −0.326773 | + | 0.0616461i | ||||
\(761\) | −3.52770 | − | 24.5357i | −0.127879 | − | 0.889418i | −0.948236 | − | 0.317566i | \(-0.897134\pi\) |
0.820357 | − | 0.571852i | \(-0.193775\pi\) | |||||||
\(762\) | 12.0830 | + | 5.51813i | 0.437722 | + | 0.199901i | ||||
\(763\) | 0.0556864 | + | 0.189650i | 0.00201598 | + | 0.00686581i | ||||
\(764\) | 3.23829 | − | 3.73719i | 0.117157 | − | 0.135207i | ||||
\(765\) | −7.64025 | − | 0.759943i | −0.276234 | − | 0.0274758i | ||||
\(766\) | −29.3779 | + | 18.8800i | −1.06147 | + | 0.682163i | ||||
\(767\) | 2.68323 | − | 1.22539i | 0.0968856 | − | 0.0442462i | ||||
\(768\) | −0.755750 | + | 0.654861i | −0.0272708 | + | 0.0236303i | ||||
\(769\) | 12.6182 | + | 8.10923i | 0.455024 | + | 0.292426i | 0.748006 | − | 0.663692i | \(-0.231011\pi\) |
−0.292982 | + | 0.956118i | \(0.594648\pi\) | |||||||
\(770\) | −0.412626 | + | 0.0180267i | −0.0148700 | + | 0.000649637i | ||||
\(771\) | 2.54937 | − | 17.7313i | 0.0918133 | − | 0.638576i | ||||
\(772\) | 2.01124 | − | 3.12954i | 0.0723859 | − | 0.112635i | ||||
\(773\) | 34.7591 | − | 30.1189i | 1.25020 | − | 1.08330i | 0.257056 | − | 0.966397i | \(-0.417248\pi\) |
0.993143 | − | 0.116907i | \(-0.0372978\pi\) | |||||||
\(774\) | −2.30252 | − | 5.04181i | −0.0827623 | − | 0.181224i | ||||
\(775\) | −3.15827 | + | 4.36201i | −0.113448 | + | 0.156688i | ||||
\(776\) | 2.82442 | + | 0.829324i | 0.101391 | + | 0.0297710i | ||||
\(777\) | −0.211917 | − | 0.183627i | −0.00760249 | − | 0.00658759i | ||||
\(778\) | 4.69752 | + | 15.9983i | 0.168414 | + | 0.573566i | ||||
\(779\) | −1.36606 | + | 2.99125i | −0.0489442 | + | 0.107173i | ||||
\(780\) | −2.20587 | + | 0.753741i | −0.0789829 | + | 0.0269883i | ||||
\(781\) | −25.9021 | −0.926849 | ||||||||
\(782\) | −10.4516 | + | 12.7255i | −0.373749 | + | 0.455062i | ||||
\(783\) | − | 1.05871i | − | 0.0378352i | ||||||
\(784\) | −0.996064 | − | 6.92778i | −0.0355737 | − | 0.247421i | ||||
\(785\) | −3.13268 | + | 12.6946i | −0.111810 | + | 0.453089i | ||||
\(786\) | −15.5549 | + | 4.56732i | −0.554824 | + | 0.162911i | ||||
\(787\) | 0.497764 | + | 0.431315i | 0.0177434 | + | 0.0153747i | 0.663687 | − | 0.748010i | \(-0.268991\pi\) |
−0.645944 | + | 0.763385i | \(0.723536\pi\) | |||||||
\(788\) | −2.26439 | + | 7.71182i | −0.0806657 | + | 0.274722i | ||||
\(789\) | 16.6567 | − | 10.7046i | 0.592995 | − | 0.381095i | ||||
\(790\) | −14.5464 | − | 20.5989i | −0.517539 | − | 0.732876i | ||||
\(791\) | −0.311249 | − | 0.359201i | −0.0110667 | − | 0.0127717i | ||||
\(792\) | −3.18604 | + | 4.95757i | −0.113211 | + | 0.176160i | ||||
\(793\) | 1.66216 | + | 0.238983i | 0.0590252 | + | 0.00848654i | ||||
\(794\) | 4.00488 | − | 27.8546i | 0.142128 | − | 0.988522i | ||||
\(795\) | −1.12248 | + | 2.77212i | −0.0398104 | + | 0.0983170i | ||||
\(796\) | 15.6021 | + | 18.0058i | 0.553003 | + | 0.638200i | ||||
\(797\) | −18.4260 | + | 8.41489i | −0.652684 | + | 0.298071i | −0.714102 | − | 0.700041i | \(-0.753165\pi\) |
0.0614185 | + | 0.998112i | \(0.480438\pi\) | |||||||
\(798\) | 0.0694727 | + | 0.108102i | 0.00245931 | + | 0.00382676i | ||||
\(799\) | 21.4726 | + | 6.30494i | 0.759647 | + | 0.223053i | ||||
\(800\) | −4.71197 | − | 1.67252i | −0.166593 | − | 0.0591326i | ||||
\(801\) | −6.85321 | + | 2.01228i | −0.242146 | + | 0.0711005i | ||||
\(802\) | 36.1691 | + | 16.5179i | 1.27718 | + | 0.583267i | ||||
\(803\) | −26.7193 | + | 3.84165i | −0.942902 | + | 0.135569i | ||||
\(804\) | −13.9612 | −0.492375 | ||||||||
\(805\) | 0.161481 | − | 0.294787i | 0.00569145 | − | 0.0103899i | ||||
\(806\) | −1.12284 | −0.0395503 | ||||||||
\(807\) | −3.86402 | + | 0.555562i | −0.136020 | + | 0.0195567i | ||||
\(808\) | −6.18937 | − | 2.82659i | −0.217741 | − | 0.0994391i | ||||
\(809\) | 42.4263 | − | 12.4575i | 1.49163 | − | 0.437981i | 0.568568 | − | 0.822637i | \(-0.307498\pi\) |
0.923060 | + | 0.384655i | \(0.125680\pi\) | |||||||
\(810\) | 1.12565 | − | 1.93207i | 0.0395515 | − | 0.0678861i | ||||
\(811\) | 42.9289 | + | 12.6051i | 1.50744 | + | 0.442624i | 0.928059 | − | 0.372434i | \(-0.121477\pi\) |
0.579380 | + | 0.815058i | \(0.303295\pi\) | |||||||
\(812\) | 0.0179403 | + | 0.0279156i | 0.000629580 | + | 0.000979645i | ||||
\(813\) | 2.37248 | − | 1.08348i | 0.0832065 | − | 0.0379991i | ||||
\(814\) | 34.5252 | + | 39.8442i | 1.21011 | + | 1.39654i | ||||
\(815\) | −36.9731 | − | 14.9711i | −1.29511 | − | 0.524414i | ||||
\(816\) | 0.488664 | − | 3.39873i | 0.0171067 | − | 0.118979i | ||||
\(817\) | 22.4926 | + | 3.23395i | 0.786916 | + | 0.113141i | ||||
\(818\) | −11.5077 | + | 17.9063i | −0.402356 | + | 0.626078i | ||||
\(819\) | 0.0213977 | + | 0.0246943i | 0.000747696 | + | 0.000862888i | ||||
\(820\) | −1.46506 | + | 1.03459i | −0.0511621 | + | 0.0361295i | ||||
\(821\) | 32.3941 | − | 20.8184i | 1.13056 | − | 0.726568i | 0.164884 | − | 0.986313i | \(-0.447275\pi\) |
0.965677 | + | 0.259745i | \(0.0836385\pi\) | |||||||
\(822\) | −3.24310 | + | 11.0450i | −0.113116 | + | 0.385238i | ||||
\(823\) | −0.778425 | − | 0.674509i | −0.0271342 | − | 0.0235119i | 0.641188 | − | 0.767384i | \(-0.278442\pi\) |
−0.668322 | + | 0.743872i | \(0.732987\pi\) | |||||||
\(824\) | 12.5827 | − | 3.69461i | 0.438339 | − | 0.128708i | ||||
\(825\) | −29.4201 | − | 1.63389i | −1.02427 | − | 0.0568849i | ||||
\(826\) | −0.0126215 | − | 0.0877843i | −0.000439157 | − | 0.00305441i | ||||
\(827\) | 38.1789i | 1.32761i | 0.747906 | + | 0.663805i | \(0.231060\pi\) | ||||
−0.747906 | + | 0.663805i | \(0.768940\pi\) | |||||||
\(828\) | −2.10670 | − | 4.30834i | −0.0732130 | − | 0.149725i | ||||
\(829\) | 47.6217 | 1.65397 | 0.826984 | − | 0.562225i | \(-0.190054\pi\) | ||||
0.826984 | + | 0.562225i | \(0.190054\pi\) | |||||||
\(830\) | −9.33758 | + | 3.19063i | −0.324112 | + | 0.110748i | ||||
\(831\) | 6.19884 | − | 13.5736i | 0.215036 | − | 0.470862i | ||||
\(832\) | −0.293705 | − | 1.00027i | −0.0101824 | − | 0.0346781i | ||||
\(833\) | 18.1625 | + | 15.7379i | 0.629293 | + | 0.545285i | ||||
\(834\) | −21.4358 | − | 6.29413i | −0.742262 | − | 0.217948i | ||||
\(835\) | 21.7868 | − | 20.6104i | 0.753965 | − | 0.713254i | ||||
\(836\) | −10.0366 | − | 21.9771i | −0.347123 | − | 0.760093i | ||||
\(837\) | 0.813992 | − | 0.705328i | 0.0281357 | − | 0.0243797i | ||||
\(838\) | 18.9129 | − | 29.4290i | 0.653334 | − | 1.01661i | ||||
\(839\) | −7.91805 | + | 55.0713i | −0.273361 | + | 1.90127i | 0.139070 | + | 0.990283i | \(0.455589\pi\) |
−0.412432 | + | 0.910988i | \(0.635321\pi\) | |||||||
\(840\) | 0.00305896 | + | 0.0700188i | 0.000105544 | + | 0.00241588i | ||||
\(841\) | −23.4534 | − | 15.0726i | −0.808739 | − | 0.519745i | ||||
\(842\) | −3.69243 | + | 3.19951i | −0.127250 | + | 0.110262i | ||||
\(843\) | −17.3069 | + | 7.90380i | −0.596082 | + | 0.272221i | ||||
\(844\) | −14.4673 | + | 9.29758i | −0.497986 | + | 0.320036i | ||||
\(845\) | −2.63663 | + | 26.5079i | −0.0907029 | + | 0.911900i | ||||
\(846\) | −4.26808 | + | 4.92562i | −0.146740 | + | 0.169346i | ||||
\(847\) | −0.209531 | − | 0.713597i | −0.00719957 | − | 0.0245195i | ||||
\(848\) | −1.21664 | − | 0.555621i | −0.0417796 | − | 0.0190801i | ||||
\(849\) | 0.445737 | + | 3.10017i | 0.0152976 | + | 0.106397i | ||||
\(850\) | 15.9884 | − | 6.25506i | 0.548397 | − | 0.214547i | ||||
\(851\) | −42.2924 | + | 7.22476i | −1.44977 | + | 0.247661i | ||||
\(852\) | 4.39534i | 0.150582i | ||||||||
\(853\) | 15.8427 | − | 2.27783i | 0.542442 | − | 0.0779914i | 0.134353 | − | 0.990934i | \(-0.457104\pi\) |
0.408089 | + | 0.912942i | \(0.366195\pi\) | |||||||
\(854\) | 0.0209734 | − | 0.0459252i | 0.000717693 | − | 0.00157153i | ||||
\(855\) | 4.16862 | + | 8.16481i | 0.142564 | + | 0.279231i | ||||
\(856\) | −3.98225 | + | 4.59576i | −0.136110 | + | 0.157080i | ||||
\(857\) | 7.35934 | − | 25.0636i | 0.251390 | − | 0.856156i | −0.733011 | − | 0.680217i | \(-0.761886\pi\) |
0.984401 | − | 0.175939i | \(-0.0562962\pi\) | |||||||
\(858\) | −3.32144 | − | 5.16826i | −0.113392 | − | 0.176441i | ||||
\(859\) | −3.64437 | − | 7.98007i | −0.124344 | − | 0.272276i | 0.837215 | − | 0.546874i | \(-0.184182\pi\) |
−0.961559 | + | 0.274598i | \(0.911455\pi\) | |||||||
\(860\) | 9.71195 | + | 7.69968i | 0.331175 | + | 0.262557i | ||||
\(861\) | 0.0211493 | + | 0.0135918i | 0.000720766 | + | 0.000463208i | ||||
\(862\) | −11.1150 | − | 1.59810i | −0.378579 | − | 0.0544315i | ||||
\(863\) | 25.5385 | + | 3.67188i | 0.869339 | + | 0.124992i | 0.562528 | − | 0.826778i | \(-0.309829\pi\) |
0.306811 | + | 0.951770i | \(0.400738\pi\) | |||||||
\(864\) | 0.841254 | + | 0.540641i | 0.0286200 | + | 0.0183930i | ||||
\(865\) | −5.94686 | − | 4.71470i | −0.202199 | − | 0.160305i | ||||
\(866\) | 6.99818 | + | 15.3239i | 0.237808 | + | 0.520727i | ||||
\(867\) | −2.81664 | − | 4.38278i | −0.0956581 | − | 0.148847i | ||||
\(868\) | −0.00951092 | + | 0.0323912i | −0.000322822 | + | 0.00109943i | ||||
\(869\) | 43.5216 | − | 50.2266i | 1.47637 | − | 1.70382i | ||||
\(870\) | 1.07648 | + | 2.10844i | 0.0364961 | + | 0.0714827i | ||||
\(871\) | 6.04618 | − | 13.2393i | 0.204867 | − | 0.448596i | ||||
\(872\) | −6.24202 | + | 0.897468i | −0.211382 | + | 0.0303921i | ||||
\(873\) | − | 2.94366i | − | 0.0996276i | ||||||
\(874\) | 19.5289 | + | 2.28356i | 0.660573 | + | 0.0772425i | ||||
\(875\) | −0.297017 | + | 0.185958i | −0.0100410 | + | 0.00628652i | ||||
\(876\) | 0.651892 | + | 4.53401i | 0.0220254 | + | 0.153190i | ||||
\(877\) | 35.3928 | + | 16.1633i | 1.19513 | + | 0.545797i | 0.910767 | − | 0.412920i | \(-0.135491\pi\) |
0.284362 | + | 0.958717i | \(0.408218\pi\) | |||||||
\(878\) | 5.38565 | + | 18.3418i | 0.181757 | + | 0.619007i | ||||
\(879\) | 9.47664 | − | 10.9366i | 0.319639 | − | 0.368883i | ||||
\(880\) | 1.30426 | − | 13.1126i | 0.0439665 | − | 0.442026i | ||||
\(881\) | −21.2037 | + | 13.6268i | −0.714372 | + | 0.459099i | −0.846675 | − | 0.532111i | \(-0.821399\pi\) |
0.132303 | + | 0.991209i | \(0.457763\pi\) | |||||||
\(882\) | −6.36653 | + | 2.90750i | −0.214372 | + | 0.0979005i | ||||
\(883\) | 24.1204 | − | 20.9004i | 0.811715 | − | 0.703355i | −0.146561 | − | 0.989202i | \(-0.546820\pi\) |
0.958275 | + | 0.285847i | \(0.0922749\pi\) | |||||||
\(884\) | 3.01136 | + | 1.93528i | 0.101283 | + | 0.0650905i | ||||
\(885\) | −0.276151 | − | 6.32102i | −0.00928272 | − | 0.212479i | ||||
\(886\) | 0.985333 | − | 6.85314i | 0.0331029 | − | 0.230236i | ||||
\(887\) | 3.64271 | − | 5.66816i | 0.122310 | − | 0.190318i | −0.774699 | − | 0.632330i | \(-0.782099\pi\) |
0.897009 | + | 0.442012i | \(0.145735\pi\) | |||||||
\(888\) | 6.76119 | − | 5.85860i | 0.226891 | − | 0.196602i | ||||
\(889\) | 0.172956 | + | 0.378721i | 0.00580075 | + | 0.0127019i | ||||
\(890\) | 11.6022 | − | 10.9757i | 0.388907 | − | 0.367908i | ||||
\(891\) | 5.65437 | + | 1.66027i | 0.189428 | + | 0.0556212i | ||||
\(892\) | −19.0473 | − | 16.5046i | −0.637751 | − | 0.552614i | ||||
\(893\) | −7.52804 | − | 25.6382i | −0.251916 | − | 0.857949i | ||||
\(894\) | 8.58115 | − | 18.7901i | 0.286997 | − | 0.628435i | ||||
\(895\) | 3.54103 | − | 1.20996i | 0.118364 | − | 0.0404445i | ||||
\(896\) | −0.0313432 | −0.00104710 | ||||||||
\(897\) | 4.99790 | − | 0.131954i | 0.166875 | − | 0.00440581i | ||||
\(898\) | − | 16.2935i | − | 0.543720i | ||||||
\(899\) | 0.162281 | + | 1.12869i | 0.00541239 | + | 0.0376440i | ||||
\(900\) | −0.277257 | + | 4.99231i | −0.00924189 | + | 0.166410i | ||||
\(901\) | 4.40655 | − | 1.29388i | 0.146803 | − | 0.0431053i | ||||
\(902\) | −3.57228 | − | 3.09540i | −0.118944 | − | 0.103066i | ||||
\(903\) | 0.0489442 | − | 0.166689i | 0.00162876 | − | 0.00554705i | ||||
\(904\) | 12.7568 | − | 8.19831i | 0.424286 | − | 0.272672i | ||||
\(905\) | −40.5303 | + | 28.6215i | −1.34727 | + | 0.951412i | ||||
\(906\) | 6.58954 | + | 7.60474i | 0.218923 | + | 0.252650i | ||||
\(907\) | −30.4865 | + | 47.4378i | −1.01229 | + | 1.57515i | −0.210449 | + | 0.977605i | \(0.567493\pi\) |
−0.801837 | + | 0.597543i | \(0.796144\pi\) | |||||||
\(908\) | −22.7546 | − | 3.27162i | −0.755138 | − | 0.108573i | ||||
\(909\) | −0.968347 | + | 6.73500i | −0.0321180 | + | 0.223386i | ||||
\(910\) | −0.0677227 | − | 0.0274222i | −0.00224499 | − | 0.000909036i | ||||
\(911\) | −19.2458 | − | 22.2108i | −0.637641 | − | 0.735877i | 0.341315 | − | 0.939949i | \(-0.389128\pi\) |
−0.978956 | + | 0.204072i | \(0.934582\pi\) | |||||||
\(912\) | −3.72930 | + | 1.70312i | −0.123490 | + | 0.0563958i | ||||
\(913\) | −14.0598 | − | 21.8775i | −0.465312 | − | 0.724039i | ||||
\(914\) | 17.0072 | + | 4.99377i | 0.562549 | + | 0.165179i | ||||
\(915\) | 1.81321 | − | 3.11219i | 0.0599428 | − | 0.102886i | ||||
\(916\) | −16.0406 | + | 4.70996i | −0.529998 | + | 0.155621i | ||||
\(917\) | −0.462204 | − | 0.211082i | −0.0152633 | − | 0.00697053i | ||||
\(918\) | −3.39873 | + | 0.488664i | −0.112175 | + | 0.0161283i | ||||
\(919\) | −44.4260 | −1.46548 | −0.732740 | − | 0.680509i | \(-0.761759\pi\) | ||||
−0.732740 | + | 0.680509i | \(0.761759\pi\) | |||||||
\(920\) | 8.57620 | + | 6.43807i | 0.282749 | + | 0.212257i | ||||
\(921\) | 24.3757 | 0.803207 | ||||||||
\(922\) | −32.0350 | + | 4.60594i | −1.05502 | + | 0.151689i | ||||
\(923\) | −4.16805 | − | 1.90349i | −0.137193 | − | 0.0626540i | ||||
\(924\) | −0.177226 | + | 0.0520382i | −0.00583031 | + | 0.00171193i | ||||
\(925\) | 42.1549 | + | 14.9629i | 1.38604 | + | 0.491978i | ||||
\(926\) | 15.2536 | + | 4.47887i | 0.501265 | + | 0.147185i | ||||
\(927\) | −7.08991 | − | 11.0321i | −0.232863 | − | 0.362342i | ||||
\(928\) | −0.963035 | + | 0.439803i | −0.0316132 | + | 0.0144373i | ||||
\(929\) | 2.09768 | + | 2.42086i | 0.0688228 | + | 0.0794257i | 0.789117 | − | 0.614243i | \(-0.210539\pi\) |
−0.720294 | + | 0.693669i | \(0.755993\pi\) | |||||||
\(930\) | −0.903911 | + | 2.23233i | −0.0296404 | + | 0.0732010i | ||||
\(931\) | 4.08366 | − | 28.4024i | 0.133836 | − | 0.930853i | ||||
\(932\) | 13.3613 | + | 1.92106i | 0.437664 | + | 0.0629266i | ||||
\(933\) | 8.86687 | − | 13.7971i | 0.290288 | − | 0.451697i | ||||
\(934\) | −8.95589 | − | 10.3357i | −0.293046 | − | 0.338193i | ||||
\(935\) | 26.1003 | + | 36.9600i | 0.853570 | + | 1.20872i | ||||
\(936\) | −0.877004 | + | 0.563617i | −0.0286658 | + | 0.0184224i | ||||
\(937\) | 14.5345 | − | 49.5000i | 0.474822 | − | 1.61710i | −0.279190 | − | 0.960236i | \(-0.590066\pi\) |
0.754013 | − | 0.656860i | \(-0.228116\pi\) | |||||||
\(938\) | −0.330708 | − | 0.286561i | −0.0107980 | − | 0.00935653i | ||||
\(939\) | 11.6521 | − | 3.42137i | 0.380252 | − | 0.111652i | ||||
\(940\) | 3.49164 | − | 14.1492i | 0.113885 | − | 0.461496i | ||||
\(941\) | 1.81340 | + | 12.6125i | 0.0591153 | + | 0.411156i | 0.997795 | + | 0.0663664i | \(0.0211406\pi\) |
−0.938680 | + | 0.344790i | \(0.887950\pi\) | |||||||
\(942\) | 5.84749i | 0.190522i | ||||||||
\(943\) | 3.66100 | − | 1.18078i | 0.119219 | − | 0.0384514i | ||||
\(944\) | 2.82954 | 0.0920938 | ||||||||
\(945\) | 0.0663207 | − | 0.0226616i | 0.00215741 | − | 0.000737182i | ||||
\(946\) | −13.5689 | + | 29.7118i | −0.441163 | + | 0.966013i | ||||
\(947\) | 6.59841 | + | 22.4721i | 0.214420 | + | 0.730246i | 0.994516 | + | 0.104587i | \(0.0333519\pi\) |
−0.780096 | + | 0.625660i | \(0.784830\pi\) | |||||||
\(948\) | −8.52299 | − | 7.38521i | −0.276814 | − | 0.239861i | ||||
\(949\) | −4.58186 | − | 1.34536i | −0.148734 | − | 0.0436721i | ||||
\(950\) | −16.6037 | − | 12.0218i | −0.538697 | − | 0.390038i | ||||
\(951\) | −3.76291 | − | 8.23962i | −0.122021 | − | 0.267188i | ||||
\(952\) | 0.0813358 | − | 0.0704778i | 0.00263611 | − | 0.00228420i | ||||
\(953\) | −11.6359 | + | 18.1057i | −0.376922 | + | 0.586502i | −0.976948 | − | 0.213478i | \(-0.931521\pi\) |
0.600026 | + | 0.799981i | \(0.295157\pi\) | |||||||
\(954\) | −0.190347 | + | 1.32389i | −0.00616272 | + | 0.0428626i | ||||
\(955\) | 11.0468 | − | 0.482611i | 0.357467 | − | 0.0156169i | ||||
\(956\) | 4.80777 | + | 3.08976i | 0.155494 | + | 0.0999301i | ||||
\(957\) | −4.71516 | + | 4.08571i | −0.152419 | + | 0.132072i | ||||
\(958\) | 36.3262 | − | 16.5896i | 1.17365 | − | 0.535987i | ||||
\(959\) | −0.303524 | + | 0.195063i | −0.00980131 | + | 0.00629892i | ||||
\(960\) | −2.22509 | − | 0.221320i | −0.0718144 | − | 0.00714308i | ||||
\(961\) | 19.5410 | − | 22.5515i | 0.630355 | − | 0.727468i | ||||
\(962\) | 2.62759 | + | 8.94873i | 0.0847168 | + | 0.288519i | ||||
\(963\) | 5.53153 | + | 2.52616i | 0.178251 | + | 0.0814045i | ||||
\(964\) | −1.77647 | − | 12.3556i | −0.0572163 | − | 0.397948i | ||||
\(965\) | 8.17420 | − | 1.54207i | 0.263137 | − | 0.0496410i | ||||
\(966\) | 0.0385278 | − | 0.145295i | 0.00123961 | − | 0.00467480i | ||||
\(967\) | 30.0628i | 0.966756i | 0.875412 | + | 0.483378i | \(0.160590\pi\) | ||||
−0.875412 | + | 0.483378i | \(0.839410\pi\) | |||||||
\(968\) | 23.4868 | − | 3.37690i | 0.754896 | − | 0.108538i | ||||
\(969\) | 5.84796 | − | 12.8052i | 0.187863 | − | 0.411364i | ||||
\(970\) | 2.99307 | + | 5.86234i | 0.0961017 | + | 0.188228i | ||||
\(971\) | 4.45690 | − | 5.14353i | 0.143029 | − | 0.165064i | −0.679715 | − | 0.733476i | \(-0.737897\pi\) |
0.822744 | + | 0.568412i | \(0.192442\pi\) | |||||||
\(972\) | 0.281733 | − | 0.959493i | 0.00903658 | − | 0.0307758i | ||||
\(973\) | −0.378574 | − | 0.589073i | −0.0121365 | − | 0.0188848i | ||||
\(974\) | −5.80052 | − | 12.7014i | −0.185861 | − | 0.406978i | ||||
\(975\) | −4.61408 | − | 2.42493i | −0.147769 | − | 0.0776600i | ||||
\(976\) | 1.35509 | + | 0.870865i | 0.0433755 | + | 0.0278757i | ||||
\(977\) | 11.2628 | + | 1.61934i | 0.360328 | + | 0.0518074i | 0.320102 | − | 0.947383i | \(-0.396283\pi\) |
0.0402267 | + | 0.999191i | \(0.487192\pi\) | |||||||
\(978\) | −17.6574 | − | 2.53875i | −0.564620 | − | 0.0811802i | ||||
\(979\) | 35.4096 | + | 22.7564i | 1.13170 | + | 0.727297i | ||||
\(980\) | 9.72275 | − | 12.2637i | 0.310582 | − | 0.391751i | ||||
\(981\) | 2.61970 | + | 5.73633i | 0.0836404 | + | 0.183147i | ||||
\(982\) | −18.0727 | − | 28.1217i | −0.576724 | − | 0.897400i | ||||
\(983\) | 2.08329 | − | 7.09504i | 0.0664467 | − | 0.226297i | −0.919575 | − | 0.392915i | \(-0.871467\pi\) |
0.986021 | + | 0.166618i | \(0.0532848\pi\) | |||||||
\(984\) | −0.525260 | + | 0.606183i | −0.0167447 | + | 0.0193244i | ||||
\(985\) | −16.0066 | + | 8.17231i | −0.510013 | + | 0.260392i | ||||
\(986\) | 1.51015 | − | 3.30676i | 0.0480928 | − | 0.105309i | ||||
\(987\) | −0.202201 | + | 0.0290721i | −0.00643613 | + | 0.000925376i | ||||
\(988\) | − | 4.27402i | − | 0.135975i | ||||||
\(989\) | −14.9564 | − | 21.9750i | −0.475586 | − | 0.698763i | ||||
\(990\) | −12.9489 | + | 2.44283i | −0.411544 | + | 0.0776381i | ||||
\(991\) | 1.13815 | + | 7.91602i | 0.0361546 | + | 0.251461i | 0.999881 | − | 0.0154318i | \(-0.00491228\pi\) |
−0.963726 | + | 0.266892i | \(0.914003\pi\) | |||||||
\(992\) | −0.979733 | − | 0.447429i | −0.0311066 | − | 0.0142059i | ||||
\(993\) | 9.05912 | + | 30.8525i | 0.287482 | + | 0.979075i | ||||
\(994\) | −0.0902163 | + | 0.104115i | −0.00286149 | + | 0.00330233i | ||||
\(995\) | −5.27298 | + | 53.0130i | −0.167165 | + | 1.68063i | ||||
\(996\) | −3.71241 | + | 2.38582i | −0.117632 | + | 0.0755975i | ||||
\(997\) | 11.6247 | − | 5.30884i | 0.368159 | − | 0.168133i | −0.222740 | − | 0.974878i | \(-0.571500\pi\) |
0.590899 | + | 0.806745i | \(0.298773\pi\) | |||||||
\(998\) | −5.17353 | + | 4.48289i | −0.163765 | + | 0.141903i | ||||
\(999\) | −7.52613 | − | 4.83675i | −0.238116 | − | 0.153028i |
(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 | 690.2.r.a.49.6 | ✓ | 120 | |
5.4 | even | 2 | inner | 690.2.r.a.49.8 | yes | 120 | |
23.8 | even | 11 | inner | 690.2.r.a.169.8 | yes | 120 | |
115.54 | even | 22 | inner | 690.2.r.a.169.6 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.r.a.49.6 | ✓ | 120 | 1.1 | even | 1 | trivial | |
690.2.r.a.49.8 | yes | 120 | 5.4 | even | 2 | inner | |
690.2.r.a.169.6 | yes | 120 | 115.54 | even | 22 | inner | |
690.2.r.a.169.8 | yes | 120 | 23.8 | even | 11 | inner |