Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
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([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (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: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 89.15 | ||
Character | \(\chi\) | \(=\) | 690.89 |
Dual form | 690.2.n.a.659.15 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | 0.730817 | + | 1.57032i | 0.421938 | + | 0.906625i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −0.248537 | − | 2.22221i | −0.111149 | − | 0.993804i | ||||
\(6\) | 1.45033 | − | 0.946859i | 0.592095 | − | 0.386553i | ||||
\(7\) | −3.21136 | + | 2.06381i | −1.21378 | + | 0.780048i | −0.981287 | − | 0.192550i | \(-0.938324\pi\) |
−0.232492 | + | 0.972598i | \(0.574688\pi\) | |||||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | −1.93181 | + | 2.29523i | −0.643937 | + | 0.765078i | ||||
\(10\) | −2.16422 | + | 0.562261i | −0.684387 | + | 0.177803i | ||||
\(11\) | 0.661762 | − | 4.60265i | 0.199529 | − | 1.38775i | −0.606127 | − | 0.795368i | \(-0.707278\pi\) |
0.805656 | − | 0.592384i | \(-0.201813\pi\) | |||||||
\(12\) | −1.14362 | − | 1.30082i | −0.330136 | − | 0.375513i | ||||
\(13\) | 1.07552 | − | 1.67355i | 0.298297 | − | 0.464159i | −0.659460 | − | 0.751740i | \(-0.729215\pi\) |
0.957756 | + | 0.287581i | \(0.0928512\pi\) | |||||||
\(14\) | 2.49983 | + | 2.88496i | 0.668108 | + | 0.771038i | ||||
\(15\) | 3.30795 | − | 2.01431i | 0.854109 | − | 0.520094i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 0.740783 | − | 2.52288i | 0.179666 | − | 0.611887i | −0.819576 | − | 0.572970i | \(-0.805791\pi\) |
0.999242 | − | 0.0389169i | \(-0.0123908\pi\) | |||||||
\(18\) | 2.54680 | + | 1.58550i | 0.600286 | + | 0.373707i | ||||
\(19\) | −1.45827 | − | 4.96642i | −0.334550 | − | 1.13937i | −0.939340 | − | 0.342988i | \(-0.888561\pi\) |
0.604789 | − | 0.796386i | \(-0.293257\pi\) | |||||||
\(20\) | 0.864539 | + | 2.06218i | 0.193317 | + | 0.461117i | ||||
\(21\) | −5.58776 | − | 3.53459i | −1.21935 | − | 0.771310i | ||||
\(22\) | −4.64998 | −0.991380 | ||||||||
\(23\) | 0.832592 | − | 4.72301i | 0.173607 | − | 0.984815i | ||||
\(24\) | −1.12482 | + | 1.31711i | −0.229603 | + | 0.268854i | ||||
\(25\) | −4.87646 | + | 1.10461i | −0.975292 | + | 0.220921i | ||||
\(26\) | −1.80958 | − | 0.826406i | −0.354887 | − | 0.162071i | ||||
\(27\) | −5.01606 | − | 1.35617i | −0.965340 | − | 0.260994i | ||||
\(28\) | 2.49983 | − | 2.88496i | 0.472424 | − | 0.545206i | ||||
\(29\) | 0.756135 | − | 2.57516i | 0.140411 | − | 0.478195i | −0.859020 | − | 0.511943i | \(-0.828926\pi\) |
0.999430 | + | 0.0337477i | \(0.0107443\pi\) | |||||||
\(30\) | −2.46458 | − | 2.98761i | −0.449969 | − | 0.545461i | ||||
\(31\) | −2.00737 | − | 4.39553i | −0.360535 | − | 0.789461i | −0.999791 | − | 0.0204667i | \(-0.993485\pi\) |
0.639256 | − | 0.768994i | \(-0.279242\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | 7.71127 | − | 2.32452i | 1.34236 | − | 0.404647i | ||||
\(34\) | −2.60262 | − | 0.374200i | −0.446346 | − | 0.0641748i | ||||
\(35\) | 5.38437 | + | 6.62338i | 0.910125 | + | 1.11956i | ||||
\(36\) | 1.20692 | − | 2.74652i | 0.201153 | − | 0.457753i | ||||
\(37\) | 6.21744 | + | 7.17531i | 1.02214 | + | 1.17961i | 0.983601 | + | 0.180356i | \(0.0577250\pi\) |
0.0385393 | + | 0.999257i | \(0.487730\pi\) | |||||||
\(38\) | −4.70833 | + | 2.15022i | −0.763792 | + | 0.348812i | ||||
\(39\) | 3.41402 | + | 0.465859i | 0.546680 | + | 0.0745971i | ||||
\(40\) | 1.91815 | − | 1.14922i | 0.303286 | − | 0.181707i | ||||
\(41\) | 2.30046 | + | 1.99336i | 0.359271 | + | 0.311310i | 0.815728 | − | 0.578435i | \(-0.196336\pi\) |
−0.456457 | + | 0.889745i | \(0.650882\pi\) | |||||||
\(42\) | −2.70339 | + | 6.03391i | −0.417142 | + | 0.931053i | ||||
\(43\) | −1.31761 | + | 2.88517i | −0.200934 | + | 0.439984i | −0.983096 | − | 0.183091i | \(-0.941390\pi\) |
0.782162 | + | 0.623075i | \(0.214117\pi\) | |||||||
\(44\) | 0.661762 | + | 4.60265i | 0.0997643 | + | 0.693876i | ||||
\(45\) | 5.58063 | + | 3.72245i | 0.831911 | + | 0.554909i | ||||
\(46\) | −4.79342 | − | 0.151963i | −0.706752 | − | 0.0224058i | ||||
\(47\) | −10.1757 | −1.48428 | −0.742140 | − | 0.670245i | \(-0.766189\pi\) | ||||
−0.742140 | + | 0.670245i | \(0.766189\pi\) | |||||||
\(48\) | 1.46378 | + | 0.925928i | 0.211279 | + | 0.133646i | ||||
\(49\) | 3.14558 | − | 6.88786i | 0.449369 | − | 0.983980i | ||||
\(50\) | 1.78735 | + | 4.66962i | 0.252770 | + | 0.660384i | ||||
\(51\) | 4.50310 | − | 0.680494i | 0.630560 | − | 0.0952883i | ||||
\(52\) | −0.560465 | + | 1.90877i | −0.0777224 | + | 0.264698i | ||||
\(53\) | −6.07154 | − | 9.44750i | −0.833990 | − | 1.29771i | −0.952432 | − | 0.304753i | \(-0.901426\pi\) |
0.118442 | − | 0.992961i | \(-0.462210\pi\) | |||||||
\(54\) | −0.628503 | + | 5.15800i | −0.0855284 | + | 0.701915i | ||||
\(55\) | −10.3925 | − | 0.326644i | −1.40133 | − | 0.0440447i | ||||
\(56\) | −3.21136 | − | 2.06381i | −0.429136 | − | 0.275789i | ||||
\(57\) | 6.73313 | − | 5.91950i | 0.891825 | − | 0.784056i | ||||
\(58\) | −2.65656 | − | 0.381955i | −0.348823 | − | 0.0501532i | ||||
\(59\) | −0.504216 | + | 0.784576i | −0.0656434 | + | 0.102143i | −0.872524 | − | 0.488572i | \(-0.837518\pi\) |
0.806880 | + | 0.590715i | \(0.201154\pi\) | |||||||
\(60\) | −2.60646 | + | 2.86468i | −0.336492 | + | 0.369828i | ||||
\(61\) | 11.0649 | − | 5.05319i | 1.41672 | − | 0.646994i | 0.447747 | − | 0.894160i | \(-0.352227\pi\) |
0.968973 | + | 0.247166i | \(0.0794992\pi\) | |||||||
\(62\) | −4.06511 | + | 2.61249i | −0.516270 | + | 0.331786i | ||||
\(63\) | 1.46680 | − | 11.3577i | 0.184799 | − | 1.43094i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −3.98629 | − | 1.97410i | −0.494438 | − | 0.244857i | ||||
\(66\) | −3.39829 | − | 7.30196i | −0.418300 | − | 0.898810i | ||||
\(67\) | −0.387278 | − | 2.69357i | −0.0473135 | − | 0.329073i | −0.999707 | − | 0.0242014i | \(-0.992296\pi\) |
0.952394 | − | 0.304871i | \(-0.0986134\pi\) | |||||||
\(68\) | 2.62938i | 0.318860i | ||||||||
\(69\) | 8.02511 | − | 2.14422i | 0.966109 | − | 0.258134i | ||||
\(70\) | 5.78969 | − | 6.27218i | 0.692000 | − | 0.749668i | ||||
\(71\) | −5.01334 | + | 0.720810i | −0.594974 | + | 0.0855444i | −0.433222 | − | 0.901287i | \(-0.642623\pi\) |
−0.161752 | + | 0.986831i | \(0.551714\pi\) | |||||||
\(72\) | −2.89032 | − | 0.803763i | −0.340628 | − | 0.0947244i | ||||
\(73\) | 2.00152 | + | 6.81656i | 0.234261 | + | 0.797818i | 0.989769 | + | 0.142679i | \(0.0455717\pi\) |
−0.755508 | + | 0.655139i | \(0.772610\pi\) | |||||||
\(74\) | 6.21744 | − | 7.17531i | 0.722763 | − | 0.834113i | ||||
\(75\) | −5.29838 | − | 6.85034i | −0.611805 | − | 0.791009i | ||||
\(76\) | 2.79840 | + | 4.35440i | 0.320999 | + | 0.499484i | ||||
\(77\) | 7.37387 | + | 16.1465i | 0.840330 | + | 1.84007i | ||||
\(78\) | −0.0247480 | − | 3.44557i | −0.00280216 | − | 0.390133i | ||||
\(79\) | −4.40651 | + | 6.85667i | −0.495772 | + | 0.771436i | −0.995502 | − | 0.0947456i | \(-0.969796\pi\) |
0.499730 | + | 0.866181i | \(0.333433\pi\) | |||||||
\(80\) | −1.41050 | − | 1.73507i | −0.157699 | − | 0.193987i | ||||
\(81\) | −1.53621 | − | 8.86792i | −0.170690 | − | 0.985325i | ||||
\(82\) | 1.64568 | − | 2.56073i | 0.181735 | − | 0.282785i | ||||
\(83\) | −5.67839 | + | 4.92035i | −0.623284 | + | 0.540079i | −0.908233 | − | 0.418464i | \(-0.862569\pi\) |
0.284949 | + | 0.958543i | \(0.408023\pi\) | |||||||
\(84\) | 6.35723 | + | 1.81716i | 0.693631 | + | 0.198268i | ||||
\(85\) | −5.79048 | − | 1.01915i | −0.628065 | − | 0.110542i | ||||
\(86\) | 3.04332 | + | 0.893599i | 0.328169 | + | 0.0963592i | ||||
\(87\) | 4.59642 | − | 0.694597i | 0.492788 | − | 0.0744686i | ||||
\(88\) | 4.46163 | − | 1.31005i | 0.475611 | − | 0.139652i | ||||
\(89\) | −5.75374 | + | 12.5989i | −0.609895 | + | 1.33548i | 0.312750 | + | 0.949835i | \(0.398750\pi\) |
−0.922646 | + | 0.385649i | \(0.873978\pi\) | |||||||
\(90\) | 2.89035 | − | 6.05358i | 0.304670 | − | 0.638104i | ||||
\(91\) | 7.59404i | 0.796071i | ||||||||
\(92\) | 0.531759 | + | 4.76626i | 0.0554397 | + | 0.496917i | ||||
\(93\) | 5.43537 | − | 6.36455i | 0.563622 | − | 0.659973i | ||||
\(94\) | 1.44815 | + | 10.0721i | 0.149366 | + | 1.03886i | ||||
\(95\) | −10.6740 | + | 4.47493i | −1.09513 | + | 0.459118i | ||||
\(96\) | 0.708185 | − | 1.58066i | 0.0722789 | − | 0.161325i | ||||
\(97\) | 2.74356 | − | 3.16623i | 0.278566 | − | 0.321482i | −0.599175 | − | 0.800618i | \(-0.704504\pi\) |
0.877741 | + | 0.479136i | \(0.159050\pi\) | |||||||
\(98\) | −7.26541 | − | 2.13332i | −0.733918 | − | 0.215498i | ||||
\(99\) | 9.28577 | + | 10.4104i | 0.933255 | + | 1.04628i | ||||
\(100\) | 4.36772 | − | 2.43372i | 0.436772 | − | 0.243372i | ||||
\(101\) | −4.40055 | + | 3.81310i | −0.437872 | + | 0.379418i | −0.845716 | − | 0.533634i | \(-0.820826\pi\) |
0.407844 | + | 0.913052i | \(0.366281\pi\) | |||||||
\(102\) | −1.31443 | − | 4.36042i | −0.130148 | − | 0.431746i | ||||
\(103\) | 1.95666 | − | 13.6089i | 0.192795 | − | 1.34092i | −0.631770 | − | 0.775156i | \(-0.717671\pi\) |
0.824566 | − | 0.565766i | \(-0.191419\pi\) | |||||||
\(104\) | 1.96910 | + | 0.283114i | 0.193086 | + | 0.0277616i | ||||
\(105\) | −6.46584 | + | 13.2957i | −0.631001 | + | 1.29753i | ||||
\(106\) | −8.48727 | + | 7.35426i | −0.824356 | + | 0.714309i | ||||
\(107\) | 17.1432 | − | 7.82903i | 1.65729 | − | 0.756861i | 0.657299 | − | 0.753630i | \(-0.271699\pi\) |
0.999995 | − | 0.00323103i | \(-0.00102847\pi\) | |||||||
\(108\) | 5.19495 | − | 0.111955i | 0.499884 | − | 0.0107728i | ||||
\(109\) | 2.27163 | − | 7.73645i | 0.217582 | − | 0.741017i | −0.776280 | − | 0.630389i | \(-0.782895\pi\) |
0.993862 | − | 0.110628i | \(-0.0352864\pi\) | |||||||
\(110\) | 1.15569 | + | 10.3333i | 0.110191 | + | 0.985237i | ||||
\(111\) | −6.72372 | + | 15.0072i | −0.638187 | + | 1.42442i | ||||
\(112\) | −1.58578 | + | 3.47238i | −0.149842 | + | 0.328109i | ||||
\(113\) | 7.67503 | − | 1.10350i | 0.722006 | − | 0.103809i | 0.228491 | − | 0.973546i | \(-0.426621\pi\) |
0.493515 | + | 0.869737i | \(0.335712\pi\) | |||||||
\(114\) | −6.81747 | − | 5.82217i | −0.638515 | − | 0.545296i | ||||
\(115\) | −10.7025 | − | 0.676353i | −0.998009 | − | 0.0630702i | ||||
\(116\) | 2.68387i | 0.249191i | ||||||||
\(117\) | 1.76347 | + | 5.70156i | 0.163033 | + | 0.527109i | ||||
\(118\) | 0.848347 | + | 0.387427i | 0.0780967 | + | 0.0356656i | ||||
\(119\) | 2.82783 | + | 9.63069i | 0.259226 | + | 0.882844i | ||||
\(120\) | 3.20646 | + | 2.17224i | 0.292708 | + | 0.198298i | ||||
\(121\) | −10.1921 | − | 2.99266i | −0.926552 | − | 0.272060i | ||||
\(122\) | −6.57646 | − | 10.2332i | −0.595405 | − | 0.926468i | ||||
\(123\) | −1.44900 | + | 5.06924i | −0.130652 | + | 0.457078i | ||||
\(124\) | 3.16442 | + | 3.65194i | 0.284174 | + | 0.327954i | ||||
\(125\) | 3.66665 | + | 10.5620i | 0.327955 | + | 0.944693i | ||||
\(126\) | −11.4509 | + | 0.164502i | −1.02012 | + | 0.0146550i | ||||
\(127\) | −14.3954 | − | 2.06975i | −1.27739 | − | 0.183661i | −0.529971 | − | 0.848016i | \(-0.677797\pi\) |
−0.747417 | + | 0.664355i | \(0.768706\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | −5.49357 | + | 0.0394579i | −0.483682 | + | 0.00347408i | ||||
\(130\) | −1.38670 | + | 4.22666i | −0.121622 | + | 0.370702i | ||||
\(131\) | 2.29103 | + | 3.56492i | 0.200169 | + | 0.311468i | 0.926797 | − | 0.375562i | \(-0.122550\pi\) |
−0.726629 | + | 0.687030i | \(0.758914\pi\) | |||||||
\(132\) | −6.74401 | + | 4.40288i | −0.586991 | + | 0.383221i | ||||
\(133\) | 14.9328 | + | 12.9393i | 1.29484 | + | 1.12198i | ||||
\(134\) | −2.61104 | + | 0.766671i | −0.225560 | + | 0.0662303i | ||||
\(135\) | −1.76701 | + | 11.4838i | −0.152080 | + | 0.988368i | ||||
\(136\) | 2.60262 | − | 0.374200i | 0.223173 | − | 0.0320874i | ||||
\(137\) | 2.11258i | 0.180490i | 0.995920 | + | 0.0902448i | \(0.0287649\pi\) | ||||
−0.995920 | + | 0.0902448i | \(0.971235\pi\) | |||||||
\(138\) | −3.26449 | − | 7.63827i | −0.277892 | − | 0.650213i | ||||
\(139\) | −3.98807 | −0.338264 | −0.169132 | − | 0.985593i | \(-0.554096\pi\) | ||||
−0.169132 | + | 0.985593i | \(0.554096\pi\) | |||||||
\(140\) | −7.03229 | − | 4.83814i | −0.594337 | − | 0.408897i | ||||
\(141\) | −7.43658 | − | 15.9791i | −0.626273 | − | 1.34568i | ||||
\(142\) | 1.42695 | + | 4.85973i | 0.119747 | + | 0.407820i | ||||
\(143\) | −6.99102 | − | 6.05775i | −0.584618 | − | 0.506575i | ||||
\(144\) | −0.384246 | + | 2.97529i | −0.0320205 | + | 0.247941i | ||||
\(145\) | −5.91048 | − | 1.04027i | −0.490838 | − | 0.0863896i | ||||
\(146\) | 6.46233 | − | 2.95125i | 0.534826 | − | 0.244247i | ||||
\(147\) | 13.1150 | − | 0.0941993i | 1.08171 | − | 0.00776943i | ||||
\(148\) | −7.98711 | − | 5.13300i | −0.656536 | − | 0.421930i | ||||
\(149\) | −1.54016 | + | 10.7120i | −0.126175 | + | 0.877564i | 0.824165 | + | 0.566349i | \(0.191645\pi\) |
−0.950340 | + | 0.311214i | \(0.899264\pi\) | |||||||
\(150\) | −6.02657 | + | 6.21936i | −0.492068 | + | 0.507809i | ||||
\(151\) | 7.52777 | + | 4.83781i | 0.612601 | + | 0.393695i | 0.809832 | − | 0.586662i | \(-0.199558\pi\) |
−0.197230 | + | 0.980357i | \(0.563195\pi\) | |||||||
\(152\) | 3.91182 | − | 3.38961i | 0.317291 | − | 0.274934i | ||||
\(153\) | 4.35954 | + | 6.57399i | 0.352448 | + | 0.531476i | ||||
\(154\) | 14.9328 | − | 9.59670i | 1.20332 | − | 0.773324i | ||||
\(155\) | −9.26890 | + | 5.55326i | −0.744496 | + | 0.446049i | ||||
\(156\) | −3.40697 | + | 0.514851i | −0.272776 | + | 0.0412211i | ||||
\(157\) | 12.8459 | − | 3.77191i | 1.02522 | − | 0.301031i | 0.274453 | − | 0.961601i | \(-0.411503\pi\) |
0.750765 | + | 0.660570i | \(0.229685\pi\) | |||||||
\(158\) | 7.41399 | + | 3.38586i | 0.589826 | + | 0.269364i | ||||
\(159\) | 10.3984 | − | 16.4387i | 0.824648 | − | 1.30367i | ||||
\(160\) | −1.51668 | + | 1.64307i | −0.119904 | + | 0.129896i | ||||
\(161\) | 7.07366 | + | 16.8856i | 0.557482 | + | 1.33077i | ||||
\(162\) | −8.55904 | + | 2.78261i | −0.672461 | + | 0.218622i | ||||
\(163\) | 19.0949 | − | 2.74543i | 1.49563 | − | 0.215039i | 0.654578 | − | 0.755995i | \(-0.272846\pi\) |
0.841051 | + | 0.540956i | \(0.181937\pi\) | |||||||
\(164\) | −2.76887 | − | 1.26450i | −0.216212 | − | 0.0987409i | ||||
\(165\) | −7.08212 | − | 16.5583i | −0.551342 | − | 1.28907i | ||||
\(166\) | 5.67839 | + | 4.92035i | 0.440728 | + | 0.381893i | ||||
\(167\) | −13.8739 | − | 4.07375i | −1.07360 | − | 0.315236i | −0.303282 | − | 0.952901i | \(-0.598082\pi\) |
−0.770314 | + | 0.637664i | \(0.779901\pi\) | |||||||
\(168\) | 0.893933 | − | 6.55113i | 0.0689684 | − | 0.505431i | ||||
\(169\) | 3.75639 | + | 8.22534i | 0.288953 | + | 0.632718i | ||||
\(170\) | −0.184705 | + | 5.87658i | −0.0141662 | + | 0.450713i | ||||
\(171\) | 14.2162 | + | 6.24711i | 1.08714 | + | 0.477728i | ||||
\(172\) | 0.451394 | − | 3.13951i | 0.0344185 | − | 0.239386i | ||||
\(173\) | 1.28146 | − | 8.91273i | 0.0974274 | − | 0.677622i | −0.881315 | − | 0.472529i | \(-0.843341\pi\) |
0.978742 | − | 0.205093i | \(-0.0657498\pi\) | |||||||
\(174\) | −1.34167 | − | 4.45078i | −0.101711 | − | 0.337413i | ||||
\(175\) | 13.3803 | − | 13.6114i | 1.01146 | − | 1.02892i | ||||
\(176\) | −1.93167 | − | 4.22977i | −0.145605 | − | 0.318831i | ||||
\(177\) | −1.60053 | − | 0.218399i | −0.120303 | − | 0.0164159i | ||||
\(178\) | 13.2895 | + | 3.90216i | 0.996093 | + | 0.292479i | ||||
\(179\) | 0.181083 | + | 0.156909i | 0.0135348 | + | 0.0117279i | 0.661602 | − | 0.749855i | \(-0.269877\pi\) |
−0.648067 | + | 0.761583i | \(0.724422\pi\) | |||||||
\(180\) | −6.40331 | − | 1.99942i | −0.477274 | − | 0.149028i | ||||
\(181\) | 14.6093 | + | 6.67184i | 1.08590 | + | 0.495914i | 0.876247 | − | 0.481862i | \(-0.160039\pi\) |
0.209653 | + | 0.977776i | \(0.432767\pi\) | |||||||
\(182\) | 7.51674 | − | 1.08074i | 0.557178 | − | 0.0801101i | ||||
\(183\) | 16.0216 | + | 13.6825i | 1.18435 | + | 1.01144i | ||||
\(184\) | 4.64207 | − | 1.20466i | 0.342218 | − | 0.0888084i | ||||
\(185\) | 14.3998 | − | 15.5998i | 1.05869 | − | 1.14692i | ||||
\(186\) | −7.07330 | − | 4.47428i | −0.518640 | − | 0.328070i | ||||
\(187\) | −11.1217 | − | 5.07911i | −0.813299 | − | 0.371421i | ||||
\(188\) | 9.76352 | − | 2.86683i | 0.712078 | − | 0.209085i | ||||
\(189\) | 18.9072 | − | 5.99707i | 1.37530 | − | 0.436223i | ||||
\(190\) | 5.94845 | + | 9.92850i | 0.431546 | + | 0.720289i | ||||
\(191\) | 18.1973 | − | 11.6947i | 1.31671 | − | 0.846200i | 0.321786 | − | 0.946812i | \(-0.395717\pi\) |
0.994926 | + | 0.100613i | \(0.0320803\pi\) | |||||||
\(192\) | −1.66535 | − | 0.476026i | −0.120186 | − | 0.0343542i | ||||
\(193\) | −2.66028 | + | 2.30515i | −0.191491 | + | 0.165928i | −0.745330 | − | 0.666696i | \(-0.767708\pi\) |
0.553838 | + | 0.832624i | \(0.313163\pi\) | |||||||
\(194\) | −3.52446 | − | 2.26503i | −0.253041 | − | 0.162620i | ||||
\(195\) | 0.186727 | − | 7.70245i | 0.0133718 | − | 0.551584i | ||||
\(196\) | −1.07763 | + | 7.49507i | −0.0769734 | + | 0.535362i | ||||
\(197\) | −17.6966 | − | 11.3729i | −1.26083 | − | 0.810288i | −0.272435 | − | 0.962174i | \(-0.587829\pi\) |
−0.988398 | + | 0.151886i | \(0.951465\pi\) | |||||||
\(198\) | 8.98289 | − | 10.6728i | 0.638386 | − | 0.758483i | ||||
\(199\) | −25.1274 | + | 11.4753i | −1.78123 | + | 0.813462i | −0.806120 | + | 0.591752i | \(0.798437\pi\) |
−0.975113 | + | 0.221710i | \(0.928836\pi\) | |||||||
\(200\) | −3.03054 | − | 3.97691i | −0.214291 | − | 0.281210i | ||||
\(201\) | 3.94675 | − | 2.57666i | 0.278382 | − | 0.181744i | ||||
\(202\) | 4.40055 | + | 3.81310i | 0.309622 | + | 0.268289i | ||||
\(203\) | 2.88643 | + | 9.83027i | 0.202588 | + | 0.689950i | ||||
\(204\) | −4.12897 | + | 1.92160i | −0.289086 | + | 0.134539i | ||||
\(205\) | 3.85792 | − | 5.60753i | 0.269449 | − | 0.391647i | ||||
\(206\) | −13.7488 | −0.957925 | ||||||||
\(207\) | 9.23200 | + | 11.0350i | 0.641668 | + | 0.766982i | ||||
\(208\) | − | 1.98935i | − | 0.137937i | ||||||
\(209\) | −23.8237 | + | 3.42533i | −1.64792 | + | 0.236935i | ||||
\(210\) | 14.0805 | + | 4.50785i | 0.971649 | + | 0.311071i | ||||
\(211\) | 16.0204 | − | 4.70402i | 1.10289 | − | 0.323838i | 0.320891 | − | 0.947116i | \(-0.396018\pi\) |
0.782000 | + | 0.623278i | \(0.214200\pi\) | |||||||
\(212\) | 8.48727 | + | 7.35426i | 0.582908 | + | 0.505093i | ||||
\(213\) | −4.79574 | − | 7.34577i | −0.328599 | − | 0.503324i | ||||
\(214\) | −10.1891 | − | 15.8545i | −0.696510 | − | 1.08379i | ||||
\(215\) | 6.73893 | + | 2.21094i | 0.459591 | + | 0.150785i | ||||
\(216\) | −0.850133 | − | 5.12614i | −0.0578442 | − | 0.348789i | ||||
\(217\) | 15.5179 | + | 9.97278i | 1.05343 | + | 0.676996i | ||||
\(218\) | −7.98099 | − | 1.14749i | −0.540541 | − | 0.0777180i | ||||
\(219\) | −9.24144 | + | 8.12469i | −0.624478 | + | 0.549016i | ||||
\(220\) | 10.0636 | − | 2.61451i | 0.678488 | − | 0.176270i | ||||
\(221\) | −3.42542 | − | 3.95315i | −0.230419 | − | 0.265917i | ||||
\(222\) | 15.8113 | + | 4.51953i | 1.06119 | + | 0.303331i | ||||
\(223\) | 1.67546 | + | 2.60706i | 0.112197 | + | 0.174582i | 0.892811 | − | 0.450432i | \(-0.148730\pi\) |
−0.780614 | + | 0.625013i | \(0.785093\pi\) | |||||||
\(224\) | 3.66272 | + | 1.07547i | 0.244726 | + | 0.0718579i | ||||
\(225\) | 6.88507 | − | 13.3265i | 0.459005 | − | 0.888434i | ||||
\(226\) | −2.18454 | − | 7.43987i | −0.145314 | − | 0.494893i | ||||
\(227\) | 8.31619 | + | 3.79788i | 0.551965 | + | 0.252074i | 0.671816 | − | 0.740718i | \(-0.265515\pi\) |
−0.119851 | + | 0.992792i | \(0.538242\pi\) | |||||||
\(228\) | −4.79268 | + | 7.57666i | −0.317403 | + | 0.501776i | ||||
\(229\) | − | 19.9220i | − | 1.31648i | −0.752807 | − | 0.658242i | \(-0.771301\pi\) | ||
0.752807 | − | 0.658242i | \(-0.228699\pi\) | |||||||
\(230\) | 0.853649 | + | 10.6898i | 0.0562880 | + | 0.704863i | ||||
\(231\) | −19.9663 | + | 23.3795i | −1.31368 | + | 1.53826i | ||||
\(232\) | 2.65656 | − | 0.381955i | 0.174411 | − | 0.0250766i | ||||
\(233\) | −1.98627 | + | 4.34933i | −0.130125 | + | 0.284934i | −0.963469 | − | 0.267821i | \(-0.913696\pi\) |
0.833344 | + | 0.552755i | \(0.186424\pi\) | |||||||
\(234\) | 5.39256 | − | 2.55694i | 0.352522 | − | 0.167152i | ||||
\(235\) | 2.52904 | + | 22.6126i | 0.164977 | + | 1.47508i | ||||
\(236\) | 0.262751 | − | 0.894849i | 0.0171037 | − | 0.0582497i | ||||
\(237\) | −13.9875 | − | 1.90867i | −0.908587 | − | 0.123981i | ||||
\(238\) | 9.13022 | − | 4.16963i | 0.591824 | − | 0.270277i | ||||
\(239\) | 11.0521 | − | 9.57674i | 0.714904 | − | 0.619468i | −0.219530 | − | 0.975606i | \(-0.570452\pi\) |
0.934433 | + | 0.356138i | \(0.115907\pi\) | |||||||
\(240\) | 1.69380 | − | 3.48296i | 0.109335 | − | 0.224824i | ||||
\(241\) | −4.89326 | − | 0.703545i | −0.315203 | − | 0.0453193i | −0.0171020 | − | 0.999854i | \(-0.505444\pi\) |
−0.298101 | + | 0.954534i | \(0.596353\pi\) | |||||||
\(242\) | −1.51172 | + | 10.5142i | −0.0971769 | + | 0.675880i | ||||
\(243\) | 12.8028 | − | 8.89317i | 0.821300 | − | 0.570497i | ||||
\(244\) | −9.19308 | + | 7.96585i | −0.588527 | + | 0.509961i | ||||
\(245\) | −16.0881 | − | 5.27826i | −1.02783 | − | 0.337216i | ||||
\(246\) | 5.22386 | + | 0.712820i | 0.333061 | + | 0.0454478i | ||||
\(247\) | −9.87994 | − | 2.90101i | −0.628645 | − | 0.184587i | ||||
\(248\) | 3.16442 | − | 3.65194i | 0.200941 | − | 0.231898i | ||||
\(249\) | −11.8764 | − | 5.32101i | −0.752636 | − | 0.337205i | ||||
\(250\) | 9.93267 | − | 5.13246i | 0.628197 | − | 0.324605i | ||||
\(251\) | 2.79468 | + | 19.4374i | 0.176398 | + | 1.22688i | 0.865013 | + | 0.501750i | \(0.167310\pi\) |
−0.688614 | + | 0.725128i | \(0.741781\pi\) | |||||||
\(252\) | 1.79245 | + | 11.3109i | 0.112914 | + | 0.712519i | ||||
\(253\) | −21.1874 | − | 6.95764i | −1.33204 | − | 0.437423i | ||||
\(254\) | 14.5435i | 0.912538i | ||||||||
\(255\) | −2.63139 | − | 9.83772i | −0.164784 | − | 0.616062i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 20.0570 | − | 5.88927i | 1.25112 | − | 0.367363i | 0.411939 | − | 0.911211i | \(-0.364852\pi\) |
0.839183 | + | 0.543849i | \(0.183033\pi\) | |||||||
\(258\) | 0.820873 | + | 5.43204i | 0.0511053 | + | 0.338184i | ||||
\(259\) | −34.7749 | − | 10.2108i | −2.16081 | − | 0.634470i | ||||
\(260\) | 4.38098 | + | 0.771072i | 0.271697 | + | 0.0478198i | ||||
\(261\) | 4.44988 | + | 6.71023i | 0.275441 | + | 0.415353i | ||||
\(262\) | 3.20258 | − | 2.77505i | 0.197856 | − | 0.171443i | ||||
\(263\) | 0.615564 | − | 0.957836i | 0.0379573 | − | 0.0590627i | −0.821756 | − | 0.569839i | \(-0.807006\pi\) |
0.859714 | + | 0.510776i | \(0.170642\pi\) | |||||||
\(264\) | 5.31784 | + | 6.04877i | 0.327290 | + | 0.372276i | ||||
\(265\) | −19.4853 | + | 15.8403i | −1.19698 | + | 0.973062i | ||||
\(266\) | 10.6825 | − | 16.6223i | 0.654984 | − | 1.01918i | ||||
\(267\) | −23.9893 | + | 0.172305i | −1.46812 | + | 0.0105449i | ||||
\(268\) | 1.13046 | + | 2.47536i | 0.0690537 | + | 0.151207i | ||||
\(269\) | −4.87737 | − | 7.58933i | −0.297378 | − | 0.462730i | 0.660123 | − | 0.751157i | \(-0.270504\pi\) |
−0.957502 | + | 0.288427i | \(0.906868\pi\) | |||||||
\(270\) | 11.6184 | + | 0.114711i | 0.707072 | + | 0.00698111i | ||||
\(271\) | 0.148025 | − | 0.170830i | 0.00899189 | − | 0.0103772i | −0.751236 | − | 0.660034i | \(-0.770542\pi\) |
0.760228 | + | 0.649657i | \(0.225087\pi\) | |||||||
\(272\) | −0.740783 | − | 2.52288i | −0.0449166 | − | 0.152972i | ||||
\(273\) | −11.9251 | + | 5.54985i | −0.721738 | + | 0.335892i | ||||
\(274\) | 2.09107 | − | 0.300651i | 0.126326 | − | 0.0181630i | ||||
\(275\) | 1.85706 | + | 23.1756i | 0.111985 | + | 1.39754i | ||||
\(276\) | −7.09594 | + | 4.31830i | −0.427125 | + | 0.259931i | ||||
\(277\) | − | 8.18154i | − | 0.491581i | −0.969323 | − | 0.245791i | \(-0.920952\pi\) | ||
0.969323 | − | 0.245791i | \(-0.0790476\pi\) | |||||||
\(278\) | 0.567562 | + | 3.94748i | 0.0340401 | + | 0.236754i | ||||
\(279\) | 13.9666 | + | 3.88395i | 0.836161 | + | 0.232526i | ||||
\(280\) | −3.78809 | + | 7.64925i | −0.226382 | + | 0.457130i | ||||
\(281\) | −13.9631 | + | 16.1143i | −0.832968 | + | 0.961297i | −0.999695 | − | 0.0247066i | \(-0.992135\pi\) |
0.166727 | + | 0.986003i | \(0.446680\pi\) | |||||||
\(282\) | −14.7581 | + | 9.63496i | −0.878834 | + | 0.573753i | ||||
\(283\) | 9.70757 | − | 6.23868i | 0.577055 | − | 0.370851i | −0.219321 | − | 0.975653i | \(-0.570384\pi\) |
0.796376 | + | 0.604802i | \(0.206748\pi\) | |||||||
\(284\) | 4.60719 | − | 2.10403i | 0.273386 | − | 0.124851i | ||||
\(285\) | −14.8278 | − | 13.4912i | −0.878324 | − | 0.799152i | ||||
\(286\) | −5.00117 | + | 7.78197i | −0.295725 | + | 0.460157i | ||||
\(287\) | −11.5015 | − | 1.65367i | −0.678913 | − | 0.0976130i | ||||
\(288\) | 2.99969 | − | 0.0430932i | 0.176758 | − | 0.00253929i | ||||
\(289\) | 8.48517 | + | 5.45309i | 0.499128 | + | 0.320770i | ||||
\(290\) | −0.188532 | + | 5.99836i | −0.0110710 | + | 0.352236i | ||||
\(291\) | 6.97704 | + | 1.99433i | 0.409001 | + | 0.116909i | ||||
\(292\) | −3.84089 | − | 5.97655i | −0.224771 | − | 0.349751i | ||||
\(293\) | 8.64546 | − | 29.4437i | 0.505073 | − | 1.72012i | −0.172814 | − | 0.984955i | \(-0.555286\pi\) |
0.677887 | − | 0.735166i | \(-0.262896\pi\) | |||||||
\(294\) | −1.95970 | − | 12.9681i | −0.114292 | − | 0.756315i | ||||
\(295\) | 1.86881 | + | 0.925480i | 0.108806 | + | 0.0538835i | ||||
\(296\) | −3.94407 | + | 8.63631i | −0.229244 | + | 0.501975i | ||||
\(297\) | −9.56140 | + | 22.1897i | −0.554808 | + | 1.28758i | ||||
\(298\) | 10.8222 | 0.626912 | ||||||||
\(299\) | −7.00870 | − | 6.47309i | −0.405324 | − | 0.374348i | ||||
\(300\) | 7.01373 | + | 5.08012i | 0.404938 | + | 0.293301i | ||||
\(301\) | −1.72313 | − | 11.9846i | −0.0993194 | − | 0.690781i | ||||
\(302\) | 3.71725 | − | 8.13964i | 0.213904 | − | 0.468384i | ||||
\(303\) | −9.20379 | − | 4.12360i | −0.528744 | − | 0.236895i | ||||
\(304\) | −3.91182 | − | 3.38961i | −0.224358 | − | 0.194408i | ||||
\(305\) | −13.9793 | − | 23.3327i | −0.800453 | − | 1.33603i | ||||
\(306\) | 5.88665 | − | 5.25074i | 0.336517 | − | 0.300165i | ||||
\(307\) | −25.9954 | + | 11.8717i | −1.48363 | + | 0.677553i | −0.982234 | − | 0.187663i | \(-0.939909\pi\) |
−0.501400 | + | 0.865215i | \(0.667182\pi\) | |||||||
\(308\) | −11.6242 | − | 13.4150i | −0.662349 | − | 0.764391i | ||||
\(309\) | 22.8002 | − | 6.87301i | 1.29706 | − | 0.390992i | ||||
\(310\) | 6.81584 | + | 8.38424i | 0.387114 | + | 0.476193i | ||||
\(311\) | 16.8300 | + | 2.41978i | 0.954340 | + | 0.137213i | 0.601856 | − | 0.798605i | \(-0.294428\pi\) |
0.352484 | + | 0.935818i | \(0.385337\pi\) | |||||||
\(312\) | 0.994474 | + | 3.29902i | 0.0563010 | + | 0.186770i | ||||
\(313\) | 0.958412 | + | 1.10607i | 0.0541727 | + | 0.0625186i | 0.782189 | − | 0.623041i | \(-0.214103\pi\) |
−0.728016 | + | 0.685560i | \(0.759558\pi\) | |||||||
\(314\) | −5.56168 | − | 12.1784i | −0.313864 | − | 0.687266i | ||||
\(315\) | −25.6038 | − | 0.436725i | −1.44261 | − | 0.0246067i | ||||
\(316\) | 2.29627 | − | 7.82039i | 0.129175 | − | 0.439931i | ||||
\(317\) | −1.89825 | + | 2.19069i | −0.106616 | + | 0.123042i | −0.806549 | − | 0.591167i | \(-0.798668\pi\) |
0.699933 | + | 0.714208i | \(0.253213\pi\) | |||||||
\(318\) | −17.7512 | − | 7.95311i | −0.995437 | − | 0.445988i | ||||
\(319\) | −11.3522 | − | 5.18437i | −0.635600 | − | 0.290269i | ||||
\(320\) | 1.84219 | + | 1.26741i | 0.102982 | + | 0.0708503i | ||||
\(321\) | 24.8226 | + | 21.1987i | 1.38546 | + | 1.18320i | ||||
\(322\) | 15.7070 | − | 9.40472i | 0.875318 | − | 0.524105i | ||||
\(323\) | −13.6099 | −0.757276 | ||||||||
\(324\) | 3.97236 | + | 8.07591i | 0.220687 | + | 0.448662i | ||||
\(325\) | −3.39614 | + | 9.34901i | −0.188384 | + | 0.518590i | ||||
\(326\) | −5.43498 | − | 18.5098i | −0.301016 | − | 1.02517i | ||||
\(327\) | 13.8088 | − | 2.08675i | 0.763631 | − | 0.115398i | ||||
\(328\) | −0.857578 | + | 2.92064i | −0.0473518 | + | 0.161266i | ||||
\(329\) | 32.6778 | − | 21.0008i | 1.80159 | − | 1.15781i | ||||
\(330\) | −15.3819 | + | 9.36653i | −0.846747 | + | 0.515611i | ||||
\(331\) | 8.59661 | + | 9.92102i | 0.472512 | + | 0.545308i | 0.941109 | − | 0.338104i | \(-0.109786\pi\) |
−0.468596 | + | 0.883412i | \(0.655240\pi\) | |||||||
\(332\) | 4.06215 | − | 6.32083i | 0.222939 | − | 0.346901i | ||||
\(333\) | −28.4799 | + | 0.409139i | −1.56069 | + | 0.0224207i | ||||
\(334\) | −2.05782 | + | 14.3125i | −0.112599 | + | 0.783143i | ||||
\(335\) | −5.88944 | + | 1.53007i | −0.321775 | + | 0.0835965i | ||||
\(336\) | −6.61167 | + | 0.0474887i | −0.360696 | + | 0.00259072i | ||||
\(337\) | −9.64730 | − | 21.1246i | −0.525522 | − | 1.15073i | −0.967306 | − | 0.253611i | \(-0.918382\pi\) |
0.441785 | − | 0.897121i | \(-0.354346\pi\) | |||||||
\(338\) | 7.60703 | − | 4.88874i | 0.413768 | − | 0.265912i | ||||
\(339\) | 7.34190 | + | 11.2458i | 0.398757 | + | 0.610788i | ||||
\(340\) | 5.84305 | − | 0.653500i | 0.316884 | − | 0.0354410i | ||||
\(341\) | −21.5595 | + | 6.33044i | −1.16751 | + | 0.342813i | ||||
\(342\) | 4.16034 | − | 14.9606i | 0.224966 | − | 0.808974i | ||||
\(343\) | 0.310823 | + | 2.16182i | 0.0167829 | + | 0.116727i | ||||
\(344\) | −3.17180 | −0.171012 | ||||||||
\(345\) | −6.75945 | − | 17.3006i | −0.363917 | − | 0.931432i | ||||
\(346\) | −9.00438 | −0.484079 | ||||||||
\(347\) | 3.51504 | + | 24.4477i | 0.188697 | + | 1.31242i | 0.835385 | + | 0.549665i | \(0.185245\pi\) |
−0.646688 | + | 0.762755i | \(0.723846\pi\) | |||||||
\(348\) | −4.21454 | + | 1.96142i | −0.225923 | + | 0.105143i | ||||
\(349\) | −31.6929 | + | 9.30588i | −1.69648 | + | 0.498133i | −0.979920 | − | 0.199389i | \(-0.936104\pi\) |
−0.716563 | + | 0.697522i | \(0.754286\pi\) | |||||||
\(350\) | −15.3771 | − | 11.3071i | −0.821939 | − | 0.604387i | ||||
\(351\) | −7.66449 | + | 6.93602i | −0.409100 | + | 0.370217i | ||||
\(352\) | −3.91182 | + | 2.51397i | −0.208500 | + | 0.133995i | ||||
\(353\) | 2.44281 | + | 5.34902i | 0.130018 | + | 0.284699i | 0.963434 | − | 0.267947i | \(-0.0863452\pi\) |
−0.833416 | + | 0.552647i | \(0.813618\pi\) | |||||||
\(354\) | 0.0116021 | + | 1.61532i | 0.000616645 | + | 0.0858531i | ||||
\(355\) | 2.84779 | + | 10.9616i | 0.151145 | + | 0.581779i | ||||
\(356\) | 1.97114 | − | 13.7096i | 0.104470 | − | 0.726607i | ||||
\(357\) | −13.0566 | + | 11.4789i | −0.691031 | + | 0.607526i | ||||
\(358\) | 0.129541 | − | 0.201570i | 0.00684647 | − | 0.0106533i | ||||
\(359\) | −17.1519 | − | 19.7944i | −0.905244 | − | 1.04471i | −0.998794 | − | 0.0490931i | \(-0.984367\pi\) |
0.0935499 | − | 0.995615i | \(-0.470179\pi\) | |||||||
\(360\) | −1.06778 | + | 6.62268i | −0.0562769 | + | 0.349046i | ||||
\(361\) | −6.55492 | + | 4.21259i | −0.344996 | + | 0.221715i | ||||
\(362\) | 4.52481 | − | 15.4101i | 0.237819 | − | 0.809937i | ||||
\(363\) | −2.74910 | − | 18.1919i | −0.144291 | − | 0.954827i | ||||
\(364\) | −2.13949 | − | 7.28643i | −0.112140 | − | 0.381912i | ||||
\(365\) | 14.6504 | − | 6.14198i | 0.766837 | − | 0.321486i | ||||
\(366\) | 11.2632 | − | 17.8057i | 0.588735 | − | 0.930720i | ||||
\(367\) | −9.03990 | −0.471879 | −0.235939 | − | 0.971768i | \(-0.575817\pi\) | ||||
−0.235939 | + | 0.971768i | \(0.575817\pi\) | |||||||
\(368\) | −1.85303 | − | 4.42338i | −0.0965958 | − | 0.230585i | ||||
\(369\) | −9.01928 | + | 1.42930i | −0.469525 | + | 0.0744063i | ||||
\(370\) | −17.4903 | − | 12.0331i | −0.909279 | − | 0.625573i | ||||
\(371\) | 38.9958 | + | 17.8088i | 2.02456 | + | 0.924585i | ||||
\(372\) | −3.42210 | + | 7.63806i | −0.177428 | + | 0.396015i | ||||
\(373\) | −21.4375 | + | 24.7402i | −1.10999 | + | 1.28100i | −0.153848 | + | 0.988094i | \(0.549167\pi\) |
−0.956142 | + | 0.292903i | \(0.905379\pi\) | |||||||
\(374\) | −3.44463 | + | 11.7313i | −0.178118 | + | 0.606613i | ||||
\(375\) | −13.9061 | + | 13.4767i | −0.718106 | + | 0.695934i | ||||
\(376\) | −4.22714 | − | 9.25615i | −0.217998 | − | 0.477349i | ||||
\(377\) | −3.49641 | − | 4.03507i | −0.180074 | − | 0.207817i | ||||
\(378\) | −8.62681 | − | 17.8613i | −0.443715 | − | 0.918686i | ||||
\(379\) | −17.0802 | − | 2.45576i | −0.877350 | − | 0.126144i | −0.311100 | − | 0.950377i | \(-0.600697\pi\) |
−0.566250 | + | 0.824233i | \(0.691607\pi\) | |||||||
\(380\) | 8.98089 | − | 7.30088i | 0.460710 | − | 0.374527i | ||||
\(381\) | −7.27026 | − | 24.1181i | −0.372467 | − | 1.23561i | ||||
\(382\) | −14.1654 | − | 16.3478i | −0.724766 | − | 0.836425i | ||||
\(383\) | 9.30017 | − | 4.24725i | 0.475217 | − | 0.217024i | −0.163384 | − | 0.986563i | \(-0.552241\pi\) |
0.638601 | + | 0.769538i | \(0.279514\pi\) | |||||||
\(384\) | −0.234177 | + | 1.71615i | −0.0119503 | + | 0.0875768i | ||||
\(385\) | 34.0483 | − | 20.3993i | 1.73526 | − | 1.03965i | ||||
\(386\) | 2.66028 | + | 2.30515i | 0.135405 | + | 0.117329i | ||||
\(387\) | −4.07676 | − | 8.59783i | −0.207233 | − | 0.437052i | ||||
\(388\) | −1.74039 | + | 3.81093i | −0.0883551 | + | 0.193471i | ||||
\(389\) | −2.52209 | − | 17.5415i | −0.127875 | − | 0.889389i | −0.948241 | − | 0.317551i | \(-0.897140\pi\) |
0.820366 | − | 0.571838i | \(-0.193770\pi\) | |||||||
\(390\) | −7.65063 | + | 0.911347i | −0.387405 | + | 0.0461478i | ||||
\(391\) | −11.2988 | − | 5.59925i | −0.571404 | − | 0.283166i | ||||
\(392\) | 7.57214 | 0.382451 | ||||||||
\(393\) | −3.92374 | + | 6.20296i | −0.197926 | + | 0.312898i | ||||
\(394\) | −8.73868 | + | 19.1350i | −0.440248 | + | 0.964009i | ||||
\(395\) | 16.3322 | + | 8.08807i | 0.821760 | + | 0.406955i | ||||
\(396\) | −11.8426 | − | 7.37256i | −0.595112 | − | 0.370485i | ||||
\(397\) | 4.78779 | − | 16.3057i | 0.240292 | − | 0.818360i | −0.747724 | − | 0.664010i | \(-0.768853\pi\) |
0.988016 | − | 0.154351i | \(-0.0493285\pi\) | |||||||
\(398\) | 14.9345 | + | 23.2385i | 0.748598 | + | 1.16484i | ||||
\(399\) | −9.40576 | + | 32.9055i | −0.470877 | + | 1.64734i | ||||
\(400\) | −3.50514 | + | 3.56567i | −0.175257 | + | 0.178283i | ||||
\(401\) | −4.70729 | − | 3.02519i | −0.235071 | − | 0.151071i | 0.417803 | − | 0.908538i | \(-0.362800\pi\) |
−0.652874 | + | 0.757467i | \(0.726437\pi\) | |||||||
\(402\) | −3.11211 | − | 3.53988i | −0.155218 | − | 0.176553i | ||||
\(403\) | −9.51511 | − | 1.36807i | −0.473981 | − | 0.0681482i | ||||
\(404\) | 3.14803 | − | 4.89842i | 0.156620 | − | 0.243706i | ||||
\(405\) | −19.3246 | + | 5.61779i | −0.960248 | + | 0.279150i | ||||
\(406\) | 9.31943 | − | 4.25604i | 0.462516 | − | 0.211224i | ||||
\(407\) | 37.1399 | − | 23.8684i | 1.84096 | − | 1.18311i | ||||
\(408\) | 2.48965 | + | 3.81348i | 0.123256 | + | 0.188795i | ||||
\(409\) | 18.2942 | − | 21.1126i | 0.904589 | − | 1.04395i | −0.0942387 | − | 0.995550i | \(-0.530042\pi\) |
0.998828 | − | 0.0484020i | \(-0.0154128\pi\) | |||||||
\(410\) | −6.09950 | − | 3.02062i | −0.301233 | − | 0.149178i | ||||
\(411\) | −3.31742 | + | 1.54391i | −0.163636 | + | 0.0761553i | ||||
\(412\) | 1.95666 | + | 13.6089i | 0.0963977 | + | 0.670461i | ||||
\(413\) | − | 3.56016i | − | 0.175184i | ||||||
\(414\) | 9.60878 | − | 10.7085i | 0.472246 | − | 0.526292i | ||||
\(415\) | 12.3454 | + | 11.3957i | 0.606010 | + | 0.559393i | ||||
\(416\) | −1.96910 | + | 0.283114i | −0.0965431 | + | 0.0138808i | ||||
\(417\) | −2.91455 | − | 6.26255i | −0.142726 | − | 0.306678i | ||||
\(418\) | 6.78094 | + | 23.0938i | 0.331667 | + | 1.12955i | ||||
\(419\) | 20.8480 | − | 24.0599i | 1.01849 | − | 1.17540i | 0.0340999 | − | 0.999418i | \(-0.489144\pi\) |
0.984393 | − | 0.175985i | \(-0.0563110\pi\) | |||||||
\(420\) | 2.45810 | − | 14.5787i | 0.119943 | − | 0.711370i | ||||
\(421\) | 16.8206 | + | 26.1733i | 0.819785 | + | 1.27561i | 0.958447 | + | 0.285271i | \(0.0920836\pi\) |
−0.138662 | + | 0.990340i | \(0.544280\pi\) | |||||||
\(422\) | −6.93608 | − | 15.1879i | −0.337643 | − | 0.739336i | ||||
\(423\) | 19.6576 | − | 23.3556i | 0.955783 | − | 1.13559i | ||||
\(424\) | 6.07154 | − | 9.44750i | 0.294860 | − | 0.458811i | ||||
\(425\) | −0.825616 | + | 13.1210i | −0.0400483 | + | 0.636460i | ||||
\(426\) | −6.58850 | + | 5.79234i | −0.319214 | + | 0.280640i | ||||
\(427\) | −25.1046 | + | 39.0636i | −1.21490 | + | 1.89042i | ||||
\(428\) | −14.2431 | + | 12.3417i | −0.688465 | + | 0.596558i | ||||
\(429\) | 4.40345 | − | 15.4052i | 0.212601 | − | 0.743772i | ||||
\(430\) | 1.22939 | − | 6.98499i | 0.0592864 | − | 0.336846i | ||||
\(431\) | −24.6425 | − | 7.23570i | −1.18699 | − | 0.348532i | −0.372125 | − | 0.928183i | \(-0.621371\pi\) |
−0.814865 | + | 0.579651i | \(0.803189\pi\) | |||||||
\(432\) | −4.95297 | + | 1.57101i | −0.238300 | + | 0.0755850i | ||||
\(433\) | 28.4735 | − | 8.36057i | 1.36835 | − | 0.401783i | 0.486650 | − | 0.873597i | \(-0.338219\pi\) |
0.881698 | + | 0.471814i | \(0.156400\pi\) | |||||||
\(434\) | 7.66284 | − | 16.7793i | 0.367828 | − | 0.805431i | ||||
\(435\) | −2.68592 | − | 10.0416i | −0.128780 | − | 0.481457i | ||||
\(436\) | 8.06306i | 0.386150i | ||||||||
\(437\) | −24.6706 | + | 2.75243i | −1.18015 | + | 0.131666i | ||||
\(438\) | 9.35719 | + | 7.99111i | 0.447104 | + | 0.381830i | ||||
\(439\) | −3.54504 | − | 24.6563i | −0.169195 | − | 1.17678i | −0.880552 | − | 0.473949i | \(-0.842828\pi\) |
0.711357 | − | 0.702831i | \(-0.248081\pi\) | |||||||
\(440\) | −4.02009 | − | 9.58909i | −0.191650 | − | 0.457142i | ||||
\(441\) | 9.73259 | + | 20.5259i | 0.463457 | + | 0.977424i | ||||
\(442\) | −3.42542 | + | 3.95315i | −0.162931 | + | 0.188032i | ||||
\(443\) | −1.49942 | − | 0.440270i | −0.0712397 | − | 0.0209179i | 0.245919 | − | 0.969291i | \(-0.420910\pi\) |
−0.317158 | + | 0.948373i | \(0.602729\pi\) | |||||||
\(444\) | 2.22334 | − | 16.2936i | 0.105515 | − | 0.773260i | ||||
\(445\) | 29.4275 | + | 9.65473i | 1.39500 | + | 0.457678i | ||||
\(446\) | 2.34209 | − | 2.02943i | 0.110901 | − | 0.0960962i | ||||
\(447\) | −17.9469 | + | 5.41000i | −0.848859 | + | 0.255884i | ||||
\(448\) | 0.543265 | − | 3.77849i | 0.0256669 | − | 0.178517i | ||||
\(449\) | 29.9695 | + | 4.30896i | 1.41435 | + | 0.203353i | 0.806750 | − | 0.590893i | \(-0.201224\pi\) |
0.607598 | + | 0.794245i | \(0.292133\pi\) | |||||||
\(450\) | −14.1707 | − | 4.91843i | −0.668014 | − | 0.231857i | ||||
\(451\) | 10.6971 | − | 9.26909i | 0.503707 | − | 0.436464i | ||||
\(452\) | −7.05325 | + | 3.22111i | −0.331757 | + | 0.151508i | ||||
\(453\) | −2.09548 | + | 15.3566i | −0.0984541 | + | 0.721514i | ||||
\(454\) | 2.57570 | − | 8.77203i | 0.120884 | − | 0.411692i | ||||
\(455\) | 16.8756 | − | 1.88740i | 0.791139 | − | 0.0884827i | ||||
\(456\) | 8.18161 | + | 3.66563i | 0.383139 | + | 0.171659i | ||||
\(457\) | 14.3451 | − | 31.4114i | 0.671035 | − | 1.46936i | −0.200834 | − | 0.979625i | \(-0.564365\pi\) |
0.871870 | − | 0.489737i | \(-0.162907\pi\) | |||||||
\(458\) | −19.7192 | + | 2.83520i | −0.921419 | + | 0.132480i | ||||
\(459\) | −7.13725 | + | 11.6503i | −0.333138 | + | 0.543787i | ||||
\(460\) | 10.4595 | − | 2.36627i | 0.487676 | − | 0.110328i | ||||
\(461\) | − | 1.00394i | − | 0.0467583i | −0.999727 | − | 0.0233792i | \(-0.992558\pi\) | ||
0.999727 | − | 0.0233792i | \(-0.00744250\pi\) | |||||||
\(462\) | 25.9830 | + | 16.4358i | 1.20884 | + | 0.764662i | ||||
\(463\) | 2.06758 | + | 0.944230i | 0.0960884 | + | 0.0438821i | 0.462879 | − | 0.886421i | \(-0.346816\pi\) |
−0.366791 | + | 0.930303i | \(0.619544\pi\) | |||||||
\(464\) | −0.756135 | − | 2.57516i | −0.0351027 | − | 0.119549i | ||||
\(465\) | −15.4943 | − | 10.4967i | −0.718530 | − | 0.486774i | ||||
\(466\) | 4.58774 | + | 1.34708i | 0.212523 | + | 0.0624024i | ||||
\(467\) | −6.19831 | − | 9.64476i | −0.286824 | − | 0.446306i | 0.667705 | − | 0.744426i | \(-0.267277\pi\) |
−0.954528 | + | 0.298120i | \(0.903640\pi\) | |||||||
\(468\) | −3.29836 | − | 4.97378i | −0.152467 | − | 0.229913i | ||||
\(469\) | 6.80272 | + | 7.85076i | 0.314121 | + | 0.362514i | ||||
\(470\) | 22.0225 | − | 5.72141i | 1.01582 | − | 0.263909i | ||||
\(471\) | 15.3111 | + | 17.4157i | 0.705500 | + | 0.802471i | ||||
\(472\) | −0.923134 | − | 0.132727i | −0.0424907 | − | 0.00610924i | ||||
\(473\) | 12.4075 | + | 7.97381i | 0.570497 | + | 0.366636i | ||||
\(474\) | 0.101395 | + | 14.1168i | 0.00465721 | + | 0.648405i | ||||
\(475\) | 12.5971 | + | 22.6077i | 0.577996 | + | 1.03731i | ||||
\(476\) | −5.42656 | − | 8.44389i | −0.248726 | − | 0.387025i | ||||
\(477\) | 33.4133 | + | 4.31518i | 1.52989 | + | 0.197579i | ||||
\(478\) | −11.0521 | − | 9.57674i | −0.505513 | − | 0.438030i | ||||
\(479\) | −7.78506 | + | 2.28590i | −0.355708 | + | 0.104445i | −0.454704 | − | 0.890642i | \(-0.650255\pi\) |
0.0989960 | + | 0.995088i | \(0.468437\pi\) | |||||||
\(480\) | −3.68856 | − | 1.18089i | −0.168359 | − | 0.0538998i | ||||
\(481\) | 18.6952 | − | 2.68797i | 0.852429 | − | 0.122561i | ||||
\(482\) | 4.94358i | 0.225174i | ||||||||
\(483\) | −21.3462 | + | 23.4482i | −0.971286 | + | 1.06693i | ||||
\(484\) | 10.6224 | 0.482834 | ||||||||
\(485\) | −7.71792 | − | 5.30984i | −0.350453 | − | 0.241107i | ||||
\(486\) | −10.6247 | − | 11.4069i | −0.481945 | − | 0.517425i | ||||
\(487\) | 4.64855 | + | 15.8315i | 0.210646 | + | 0.717393i | 0.995246 | + | 0.0973917i | \(0.0310499\pi\) |
−0.784600 | + | 0.620002i | \(0.787132\pi\) | |||||||
\(488\) | 9.19308 | + | 7.96585i | 0.416151 | + | 0.360597i | ||||
\(489\) | 18.2661 | + | 27.9787i | 0.826022 | + | 1.26524i | ||||
\(490\) | −2.93496 | + | 16.6755i | −0.132588 | + | 0.753323i | ||||
\(491\) | −10.0564 | + | 4.59262i | −0.453840 | + | 0.207262i | −0.629202 | − | 0.777242i | \(-0.716618\pi\) |
0.175361 | + | 0.984504i | \(0.443891\pi\) | |||||||
\(492\) | −0.0378674 | − | 5.27213i | −0.00170720 | − | 0.237686i | ||||
\(493\) | −5.93667 | − | 3.81527i | −0.267374 | − | 0.171831i | ||||
\(494\) | −1.46542 | + | 10.1922i | −0.0659324 | + | 0.458570i | ||||
\(495\) | 20.8262 | − | 23.2223i | 0.936067 | − | 1.04377i | ||||
\(496\) | −4.06511 | − | 2.61249i | −0.182529 | − | 0.117304i | ||||
\(497\) | 14.6120 | − | 12.6614i | 0.655438 | − | 0.567940i | ||||
\(498\) | −3.57666 | + | 12.5128i | −0.160274 | + | 0.560711i | ||||
\(499\) | 1.17804 | − | 0.757081i | 0.0527363 | − | 0.0338916i | −0.514007 | − | 0.857786i | \(-0.671839\pi\) |
0.566743 | + | 0.823894i | \(0.308203\pi\) | |||||||
\(500\) | −6.49378 | − | 9.10114i | −0.290411 | − | 0.407015i | ||||
\(501\) | −3.74221 | − | 24.7637i | −0.167190 | − | 1.10636i | ||||
\(502\) | 18.8418 | − | 5.53246i | 0.840952 | − | 0.246926i | ||||
\(503\) | 8.62223 | + | 3.93764i | 0.384446 | + | 0.175571i | 0.598257 | − | 0.801304i | \(-0.295860\pi\) |
−0.213811 | + | 0.976875i | \(0.568588\pi\) | |||||||
\(504\) | 10.9407 | − | 3.38392i | 0.487336 | − | 0.150732i | ||||
\(505\) | 9.56723 | + | 8.83127i | 0.425736 | + | 0.392986i | ||||
\(506\) | −3.87154 | + | 21.9619i | −0.172111 | + | 0.976326i | ||||
\(507\) | −10.1712 | + | 11.9099i | −0.451718 | + | 0.528939i | ||||
\(508\) | 14.3954 | − | 2.06975i | 0.638694 | − | 0.0918303i | ||||
\(509\) | 2.98323 | + | 1.36240i | 0.132229 | + | 0.0603872i | 0.480431 | − | 0.877033i | \(-0.340480\pi\) |
−0.348202 | + | 0.937420i | \(0.613208\pi\) | |||||||
\(510\) | −9.36310 | + | 4.00466i | −0.414605 | + | 0.177329i | ||||
\(511\) | −20.4957 | − | 17.7596i | −0.906677 | − | 0.785640i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | 0.579486 | + | 26.8895i | 0.0255849 | + | 1.18720i | ||||
\(514\) | −8.68374 | − | 19.0147i | −0.383023 | − | 0.838704i | ||||
\(515\) | −30.7281 | − | 0.965803i | −1.35404 | − | 0.0425584i | ||||
\(516\) | 5.25993 | − | 1.58558i | 0.231555 | − | 0.0698012i | ||||
\(517\) | −6.73389 | + | 46.8353i | −0.296156 | + | 2.05981i | ||||
\(518\) | −5.15792 | + | 35.8741i | −0.226626 | + | 1.57622i | ||||
\(519\) | 14.9324 | − | 4.50128i | 0.655458 | − | 0.197584i | ||||
\(520\) | 0.139744 | − | 4.44613i | 0.00612820 | − | 0.194975i | ||||
\(521\) | −10.4936 | − | 22.9777i | −0.459731 | − | 1.00667i | −0.987549 | − | 0.157313i | \(-0.949717\pi\) |
0.527818 | − | 0.849358i | \(-0.323010\pi\) | |||||||
\(522\) | 6.00864 | − | 5.35955i | 0.262991 | − | 0.234581i | ||||
\(523\) | −19.7801 | − | 5.80795i | −0.864922 | − | 0.253964i | −0.180968 | − | 0.983489i | \(-0.557923\pi\) |
−0.683954 | + | 0.729525i | \(0.739741\pi\) | |||||||
\(524\) | −3.20258 | − | 2.77505i | −0.139906 | − | 0.121229i | ||||
\(525\) | 31.1528 | + | 11.0640i | 1.35962 | + | 0.482872i | ||||
\(526\) | −1.03569 | − | 0.472984i | −0.0451582 | − | 0.0206231i | ||||
\(527\) | −12.5764 | + | 1.80821i | −0.547837 | + | 0.0787670i | ||||
\(528\) | 5.23040 | − | 6.12454i | 0.227624 | − | 0.266536i | ||||
\(529\) | −21.6136 | − | 7.86467i | −0.939721 | − | 0.341942i | ||||
\(530\) | 18.4521 | + | 17.0327i | 0.801509 | + | 0.739853i | ||||
\(531\) | −0.826735 | − | 2.67295i | −0.0358772 | − | 0.115996i | ||||
\(532\) | −17.9733 | − | 8.20815i | −0.779243 | − | 0.355868i | ||||
\(533\) | 5.81018 | − | 1.70602i | 0.251667 | − | 0.0738961i | ||||
\(534\) | 3.58458 | + | 23.7206i | 0.155120 | + | 1.02649i | ||||
\(535\) | −21.6585 | − | 36.1500i | −0.936378 | − | 1.56290i | ||||
\(536\) | 2.28928 | − | 1.47123i | 0.0988819 | − | 0.0635475i | ||||
\(537\) | −0.114059 | + | 0.399030i | −0.00492202 | + | 0.0172194i | ||||
\(538\) | −6.81796 | + | 5.90780i | −0.293943 | + | 0.254703i | ||||
\(539\) | −29.6208 | − | 19.0361i | −1.27586 | − | 0.819945i | ||||
\(540\) | −1.53992 | − | 11.5165i | −0.0662678 | − | 0.495589i | ||||
\(541\) | 4.32457 | − | 30.0780i | 0.185928 | − | 1.29315i | −0.656492 | − | 0.754333i | \(-0.727961\pi\) |
0.842420 | − | 0.538822i | \(-0.181130\pi\) | |||||||
\(542\) | −0.190157 | − | 0.122207i | −0.00816796 | − | 0.00524923i | ||||
\(543\) | 0.199799 | + | 27.8172i | 0.00857418 | + | 1.19375i | ||||
\(544\) | −2.39177 | + | 1.09229i | −0.102546 | + | 0.0468314i | ||||
\(545\) | −17.7566 | − | 3.12524i | −0.760610 | − | 0.133871i | ||||
\(546\) | 7.19048 | + | 11.0139i | 0.307724 | + | 0.471350i | ||||
\(547\) | −3.39453 | − | 2.94137i | −0.145140 | − | 0.125764i | 0.579265 | − | 0.815139i | \(-0.303340\pi\) |
−0.724404 | + | 0.689375i | \(0.757885\pi\) | |||||||
\(548\) | −0.595181 | − | 2.02700i | −0.0254249 | − | 0.0865892i | ||||
\(549\) | −9.77713 | + | 35.1584i | −0.417278 | + | 1.50053i | ||||
\(550\) | 22.6755 | − | 5.13640i | 0.966885 | − | 0.219017i | ||||
\(551\) | −13.8920 | −0.591817 | ||||||||
\(552\) | 5.28420 | + | 6.40915i | 0.224910 | + | 0.272792i | ||||
\(553\) | − | 31.1134i | − | 1.32308i | ||||||
\(554\) | −8.09827 | + | 1.16435i | −0.344062 | + | 0.0494687i | ||||
\(555\) | 35.0203 | + | 11.2117i | 1.48653 | + | 0.475909i | ||||
\(556\) | 3.82653 | − | 1.12357i | 0.162281 | − | 0.0476500i | ||||
\(557\) | 26.5925 | + | 23.0426i | 1.12676 | + | 0.976345i | 0.999879 | − | 0.0155724i | \(-0.00495705\pi\) |
0.126884 | + | 0.991918i | \(0.459503\pi\) | |||||||
\(558\) | 1.85676 | − | 14.3772i | 0.0786028 | − | 0.608637i | ||||
\(559\) | 3.41134 | + | 5.30815i | 0.144284 | + | 0.224511i | ||||
\(560\) | 8.11050 | + | 2.66093i | 0.342731 | + | 0.112445i | ||||
\(561\) | −0.152102 | − | 21.1765i | −0.00642174 | − | 0.894074i | ||||
\(562\) | 17.9374 | + | 11.5277i | 0.756644 | + | 0.486265i | ||||
\(563\) | 39.3791 | + | 5.66187i | 1.65963 | + | 0.238619i | 0.907397 | − | 0.420274i | \(-0.138066\pi\) |
0.752236 | + | 0.658894i | \(0.228975\pi\) | |||||||
\(564\) | 11.6372 | + | 13.2367i | 0.490014 | + | 0.557367i | ||||
\(565\) | −4.35975 | − | 16.7813i | −0.183416 | − | 0.705994i | ||||
\(566\) | −7.55671 | − | 8.72090i | −0.317632 | − | 0.366567i | ||||
\(567\) | 23.2350 | + | 25.3076i | 0.975780 | + | 1.06282i | ||||
\(568\) | −2.73829 | − | 4.26086i | −0.114896 | − | 0.178782i | ||||
\(569\) | 7.47177 | + | 2.19391i | 0.313233 | + | 0.0919734i | 0.434570 | − | 0.900638i | \(-0.356900\pi\) |
−0.121338 | + | 0.992611i | \(0.538718\pi\) | |||||||
\(570\) | −11.2437 | + | 16.5969i | −0.470947 | + | 0.695167i | ||||
\(571\) | 3.33706 | + | 11.3650i | 0.139652 | + | 0.475609i | 0.999382 | − | 0.0351378i | \(-0.0111870\pi\) |
−0.859731 | + | 0.510747i | \(0.829369\pi\) | |||||||
\(572\) | 8.41450 | + | 3.84277i | 0.351828 | + | 0.160674i | ||||
\(573\) | 31.6634 | + | 20.0289i | 1.32276 | + | 0.836721i | ||||
\(574\) | 11.6198i | 0.485001i | ||||||||
\(575\) | 1.15696 | + | 23.9512i | 0.0482485 | + | 0.998835i | ||||
\(576\) | −0.469555 | − | 2.96303i | −0.0195648 | − | 0.123459i | ||||
\(577\) | 21.9851 | − | 3.16098i | 0.915252 | − | 0.131593i | 0.331434 | − | 0.943478i | \(-0.392467\pi\) |
0.583817 | + | 0.811885i | \(0.301558\pi\) | |||||||
\(578\) | 4.19002 | − | 9.17486i | 0.174282 | − | 0.381624i | ||||
\(579\) | −5.56401 | − | 2.49286i | −0.231232 | − | 0.103600i | ||||
\(580\) | 5.96414 | − | 0.667043i | 0.247647 | − | 0.0276974i | ||||
\(581\) | 8.08064 | − | 27.5201i | 0.335242 | − | 1.14173i | ||||
\(582\) | 0.981089 | − | 7.18985i | 0.0406675 | − | 0.298029i | ||||
\(583\) | −47.5015 | + | 21.6932i | −1.96731 | + | 0.898440i | ||||
\(584\) | −5.36910 | + | 4.65235i | −0.222175 | + | 0.192516i | ||||
\(585\) | 12.2318 | − | 5.33587i | 0.505722 | − | 0.220611i | ||||
\(586\) | −30.3744 | − | 4.36718i | −1.25476 | − | 0.180407i | ||||
\(587\) | −1.61819 | + | 11.2547i | −0.0667898 | + | 0.464533i | 0.928789 | + | 0.370608i | \(0.120851\pi\) |
−0.995579 | + | 0.0939253i | \(0.970059\pi\) | |||||||
\(588\) | −12.5572 | + | 3.78530i | −0.517850 | + | 0.156103i | ||||
\(589\) | −18.9027 | + | 16.3793i | −0.778874 | + | 0.674898i | ||||
\(590\) | 0.650100 | − | 1.98150i | 0.0267642 | − | 0.0815770i | ||||
\(591\) | 4.92614 | − | 36.1009i | 0.202634 | − | 1.48499i | ||||
\(592\) | 9.10971 | + | 2.67485i | 0.374407 | + | 0.109936i | ||||
\(593\) | 6.73764 | − | 7.77565i | 0.276682 | − | 0.319308i | −0.600353 | − | 0.799735i | \(-0.704973\pi\) |
0.877034 | + | 0.480428i | \(0.159519\pi\) | |||||||
\(594\) | 23.3246 | + | 6.30615i | 0.957019 | + | 0.258744i | ||||
\(595\) | 20.6986 | − | 8.67762i | 0.848561 | − | 0.355748i | ||||
\(596\) | −1.54016 | − | 10.7120i | −0.0630873 | − | 0.438782i | ||||
\(597\) | −36.3834 | − | 31.0717i | −1.48907 | − | 1.27168i | ||||
\(598\) | −5.40976 | + | 7.85858i | −0.221221 | + | 0.321361i | ||||
\(599\) | − | 5.79460i | − | 0.236761i | −0.992968 | − | 0.118381i | \(-0.962230\pi\) | ||
0.992968 | − | 0.118381i | \(-0.0377703\pi\) | |||||||
\(600\) | 4.03026 | − | 7.66531i | 0.164535 | − | 0.312935i | ||||
\(601\) | −10.2917 | + | 22.5356i | −0.419806 | + | 0.919247i | 0.575066 | + | 0.818107i | \(0.304976\pi\) |
−0.994872 | + | 0.101140i | \(0.967751\pi\) | |||||||
\(602\) | −11.6174 | + | 3.41118i | −0.473490 | + | 0.139029i | ||||
\(603\) | 6.93053 | + | 4.31459i | 0.282233 | + | 0.175704i | ||||
\(604\) | −8.58581 | − | 2.52102i | −0.349352 | − | 0.102579i | ||||
\(605\) | −4.11722 | + | 23.3927i | −0.167389 | + | 0.951050i | ||||
\(606\) | −2.77179 | + | 9.69696i | −0.112596 | + | 0.393912i | ||||
\(607\) | 33.8686 | − | 29.3474i | 1.37469 | − | 1.19117i | 0.415094 | − | 0.909779i | \(-0.363749\pi\) |
0.959592 | − | 0.281393i | \(-0.0907966\pi\) | |||||||
\(608\) | −2.79840 | + | 4.35440i | −0.113490 | + | 0.176594i | ||||
\(609\) | −13.3272 | + | 11.7168i | −0.540046 | + | 0.474787i | ||||
\(610\) | −21.1058 | + | 17.1576i | −0.854548 | + | 0.694692i | ||||
\(611\) | −10.9442 | + | 17.0295i | −0.442755 | + | 0.688941i | ||||
\(612\) | −6.03505 | − | 5.07947i | −0.243953 | − | 0.205326i | ||||
\(613\) | −14.2059 | − | 31.1065i | −0.573770 | − | 1.25638i | −0.944766 | − | 0.327746i | \(-0.893711\pi\) |
0.370996 | − | 0.928635i | \(-0.379016\pi\) | |||||||
\(614\) | 15.4504 | + | 24.0413i | 0.623526 | + | 0.970226i | ||||
\(615\) | 11.6251 | + | 1.96008i | 0.468768 | + | 0.0790382i | ||||
\(616\) | −11.6242 | + | 13.4150i | −0.468351 | + | 0.540506i | ||||
\(617\) | 4.93341 | + | 16.8016i | 0.198611 | + | 0.676409i | 0.997217 | + | 0.0745538i | \(0.0237532\pi\) |
−0.798605 | + | 0.601855i | \(0.794429\pi\) | |||||||
\(618\) | −10.0479 | − | 21.5900i | −0.404185 | − | 0.868479i | ||||
\(619\) | 32.7292 | − | 4.70576i | 1.31550 | − | 0.189140i | 0.551401 | − | 0.834240i | \(-0.314093\pi\) |
0.764098 | + | 0.645100i | \(0.223184\pi\) | |||||||
\(620\) | 7.32891 | − | 7.93967i | 0.294336 | − | 0.318865i | ||||
\(621\) | −10.5815 | + | 22.5617i | −0.424621 | + | 0.905371i | ||||
\(622\) | − | 17.0030i | − | 0.681759i | ||||||
\(623\) | −7.52454 | − | 52.3343i | −0.301464 | − | 2.09673i | ||||
\(624\) | 3.12392 | − | 1.45385i | 0.125057 | − | 0.0582006i | ||||
\(625\) | 22.5597 | − | 10.7731i | 0.902388 | − | 0.430925i | ||||
\(626\) | 0.958412 | − | 1.10607i | 0.0383059 | − | 0.0442073i | ||||
\(627\) | −22.7897 | − | 34.9076i | −0.910131 | − | 1.39407i | ||||
\(628\) | −11.2629 | + | 7.23824i | −0.449439 | + | 0.288837i | ||||
\(629\) | 22.7082 | − | 10.3705i | 0.905434 | − | 0.413498i | ||||
\(630\) | 3.21152 | + | 25.4054i | 0.127950 | + | 1.01217i | ||||
\(631\) | 9.34723 | − | 14.5446i | 0.372107 | − | 0.579010i | −0.603816 | − | 0.797124i | \(-0.706354\pi\) |
0.975923 | + | 0.218113i | \(0.0699902\pi\) | |||||||
\(632\) | −8.06758 | − | 1.15994i | −0.320911 | − | 0.0461400i | ||||
\(633\) | 19.0948 | + | 21.7194i | 0.758951 | + | 0.863269i | ||||
\(634\) | 2.43854 | + | 1.56716i | 0.0968469 | + | 0.0622397i | ||||
\(635\) | −1.02162 | + | 32.5041i | −0.0405419 | + | 1.28989i | ||||
\(636\) | −5.34590 | + | 18.7023i | −0.211979 | + | 0.741596i | ||||
\(637\) | −8.14401 | − | 12.6723i | −0.322678 | − | 0.502096i | ||||
\(638\) | −3.51601 | + | 11.9744i | −0.139200 | + | 0.474073i | ||||
\(639\) | 8.03040 | − | 12.8993i | 0.317678 | − | 0.510287i | ||||
\(640\) | 0.992336 | − | 2.00381i | 0.0392255 | − | 0.0792077i | ||||
\(641\) | 5.84502 | − | 12.7988i | 0.230864 | − | 0.505522i | −0.758377 | − | 0.651816i | \(-0.774007\pi\) |
0.989241 | + | 0.146294i | \(0.0467346\pi\) | |||||||
\(642\) | 17.4503 | − | 27.5868i | 0.688708 | − | 1.08877i | ||||
\(643\) | −27.4053 | −1.08076 | −0.540379 | − | 0.841421i | \(-0.681719\pi\) | ||||
−0.540379 | + | 0.841421i | \(0.681719\pi\) | |||||||
\(644\) | −11.5443 | − | 14.2087i | −0.454911 | − | 0.559902i | ||||
\(645\) | 1.45304 | + | 12.1981i | 0.0572135 | + | 0.480299i | ||||
\(646\) | 1.93689 | + | 13.4714i | 0.0762060 | + | 0.530024i | ||||
\(647\) | 4.42965 | − | 9.69958i | 0.174147 | − | 0.381330i | −0.802352 | − | 0.596852i | \(-0.796418\pi\) |
0.976499 | + | 0.215522i | \(0.0691453\pi\) | |||||||
\(648\) | 7.42838 | − | 5.08125i | 0.291814 | − | 0.199610i | ||||
\(649\) | 3.27746 | + | 2.83994i | 0.128652 | + | 0.111477i | ||||
\(650\) | 9.73717 | + | 2.03107i | 0.381923 | + | 0.0796649i | ||||
\(651\) | −4.31967 | + | 31.6564i | −0.169301 | + | 1.24071i | ||||
\(652\) | −17.5480 | + | 8.01388i | −0.687231 | + | 0.313848i | ||||
\(653\) | −8.93581 | − | 10.3125i | −0.349685 | − | 0.403558i | 0.553472 | − | 0.832868i | \(-0.313303\pi\) |
−0.903158 | + | 0.429309i | \(0.858757\pi\) | |||||||
\(654\) | −4.03071 | − | 13.3713i | −0.157613 | − | 0.522860i | ||||
\(655\) | 7.35260 | − | 5.97718i | 0.287290 | − | 0.233548i | ||||
\(656\) | 3.01296 | + | 0.433198i | 0.117636 | + | 0.0169136i | ||||
\(657\) | −19.5122 | − | 8.57435i | −0.761242 | − | 0.334517i | ||||
\(658\) | −25.4375 | − | 29.3565i | −0.991659 | − | 1.14444i | ||||
\(659\) | 5.09394 | + | 11.1542i | 0.198432 | + | 0.434505i | 0.982523 | − | 0.186141i | \(-0.0595980\pi\) |
−0.784092 | + | 0.620645i | \(0.786871\pi\) | |||||||
\(660\) | 11.4603 | + | 13.8924i | 0.446090 | + | 0.540759i | ||||
\(661\) | 6.55010 | − | 22.3076i | 0.254769 | − | 0.867665i | −0.728428 | − | 0.685122i | \(-0.759749\pi\) |
0.983198 | − | 0.182543i | \(-0.0584329\pi\) | |||||||
\(662\) | 8.59661 | − | 9.92102i | 0.334117 | − | 0.385591i | ||||
\(663\) | 3.70435 | − | 8.26804i | 0.143865 | − | 0.321104i | ||||
\(664\) | −6.83460 | − | 3.12126i | −0.265234 | − | 0.121128i | ||||
\(665\) | 25.0426 | − | 36.3997i | 0.971110 | − | 1.41152i | ||||
\(666\) | 4.45809 | + | 28.1318i | 0.172748 | + | 1.09009i | ||||
\(667\) | −11.5329 | − | 5.71528i | −0.446557 | − | 0.221297i | ||||
\(668\) | 14.4596 | 0.559460 | ||||||||
\(669\) | −2.86947 | + | 4.53629i | −0.110940 | + | 0.175383i | ||||
\(670\) | 2.35265 | + | 5.61175i | 0.0908907 | + | 0.216801i | ||||
\(671\) | −15.9357 | − | 54.2721i | −0.615192 | − | 2.09515i | ||||
\(672\) | 0.987944 | + | 6.53761i | 0.0381108 | + | 0.252194i | ||||
\(673\) | −9.23387 | + | 31.4477i | −0.355940 | + | 1.21222i | 0.565844 | + | 0.824513i | \(0.308551\pi\) |
−0.921783 | + | 0.387706i | \(0.873268\pi\) | |||||||
\(674\) | −19.5367 | + | 12.5554i | −0.752524 | + | 0.483618i | ||||
\(675\) | 25.9586 | + | 1.07252i | 0.999148 | + | 0.0412815i | ||||
\(676\) | −5.92157 | − | 6.83386i | −0.227753 | − | 0.262841i | ||||
\(677\) | −10.4276 | + | 16.2257i | −0.400767 | + | 0.623606i | −0.981720 | − | 0.190332i | \(-0.939044\pi\) |
0.580953 | + | 0.813937i | \(0.302680\pi\) | |||||||
\(678\) | 10.0865 | − | 8.86761i | 0.387369 | − | 0.340559i | ||||
\(679\) | −2.27602 | + | 15.8301i | −0.0873458 | + | 0.607503i | ||||
\(680\) | −1.47840 | − | 5.69057i | −0.0566941 | − | 0.218224i | ||||
\(681\) | 0.113733 | + | 15.8346i | 0.00435827 | + | 0.606784i | ||||
\(682\) | 9.33425 | + | 20.4392i | 0.357427 | + | 0.782656i | ||||
\(683\) | −33.5558 | + | 21.5650i | −1.28398 | + | 0.825163i | −0.991373 | − | 0.131071i | \(-0.958159\pi\) |
−0.292605 | + | 0.956233i | \(0.594522\pi\) | |||||||
\(684\) | −15.4004 | − | 1.98889i | −0.588847 | − | 0.0760471i | ||||
\(685\) | 4.69459 | − | 0.525054i | 0.179371 | − | 0.0200613i | ||||
\(686\) | 2.09558 | − | 0.615319i | 0.0800098 | − | 0.0234930i | ||||
\(687\) | 31.2839 | − | 14.5593i | 1.19356 | − | 0.555474i | ||||
\(688\) | 0.451394 | + | 3.13951i | 0.0172092 | + | 0.119693i | ||||
\(689\) | −22.3409 | −0.851121 | ||||||||
\(690\) | −16.1625 | + | 9.15278i | −0.615296 | + | 0.348440i | ||||
\(691\) | 21.6697 | 0.824355 | 0.412177 | − | 0.911104i | \(-0.364768\pi\) | ||||
0.412177 | + | 0.911104i | \(0.364768\pi\) | |||||||
\(692\) | 1.28146 | + | 8.91273i | 0.0487137 | + | 0.338811i | ||||
\(693\) | −51.3050 | − | 14.2673i | −1.94891 | − | 0.541969i | ||||
\(694\) | 23.6986 | − | 6.95853i | 0.899586 | − | 0.264142i | ||||
\(695\) | 0.991185 | + | 8.86234i | 0.0375978 | + | 0.336168i | ||||
\(696\) | 2.54125 | + | 3.89250i | 0.0963258 | + | 0.147545i | ||||
\(697\) | 6.73314 | − | 4.32713i | 0.255036 | − | 0.163902i | ||||
\(698\) | 13.7215 | + | 30.0460i | 0.519368 | + | 1.13726i | ||||
\(699\) | −8.28145 | + | 0.0594821i | −0.313233 | + | 0.00224982i | ||||
\(700\) | −9.00358 | + | 16.8297i | −0.340303 | + | 0.636103i | ||||
\(701\) | −1.64319 | + | 11.4286i | −0.0620625 | + | 0.431654i | 0.934974 | + | 0.354718i | \(0.115423\pi\) |
−0.997036 | + | 0.0769365i | \(0.975486\pi\) | |||||||
\(702\) | 7.95619 | + | 6.59938i | 0.300287 | + | 0.249078i | ||||
\(703\) | 26.5688 | − | 41.3419i | 1.00206 | − | 1.55924i | ||||
\(704\) | 3.04509 | + | 3.51422i | 0.114766 | + | 0.132447i | ||||
\(705\) | −33.6607 | + | 20.4971i | −1.26774 | + | 0.771965i | ||||
\(706\) | 4.94692 | − | 3.17919i | 0.186180 | − | 0.119651i | ||||
\(707\) | 6.26222 | − | 21.3272i | 0.235515 | − | 0.802090i | ||||
\(708\) | 1.59722 | − | 0.241367i | 0.0600273 | − | 0.00907114i | ||||
\(709\) | −1.87388 | − | 6.38183i | −0.0703749 | − | 0.239675i | 0.916792 | − | 0.399364i | \(-0.130769\pi\) |
−0.987167 | + | 0.159689i | \(0.948951\pi\) | |||||||
\(710\) | 10.4447 | − | 4.37880i | 0.391983 | − | 0.164333i | ||||
\(711\) | −7.22511 | − | 23.3598i | −0.270963 | − | 0.876060i | ||||
\(712\) | −13.8506 | −0.519072 | ||||||||
\(713\) | −22.4314 | + | 5.82115i | −0.840064 | + | 0.218004i | ||||
\(714\) | 13.2202 | + | 11.2901i | 0.494753 | + | 0.422523i | ||||
\(715\) | −11.7241 | + | 17.0411i | −0.438456 | + | 0.637301i | ||||
\(716\) | −0.217954 | − | 0.0995364i | −0.00814533 | − | 0.00371985i | ||||
\(717\) | 23.1156 | + | 10.3566i | 0.863270 | + | 0.386773i | ||||
\(718\) | −17.1519 | + | 19.7944i | −0.640104 | + | 0.738720i | ||||
\(719\) | −9.85108 | + | 33.5497i | −0.367383 | + | 1.25119i | 0.543809 | + | 0.839209i | \(0.316982\pi\) |
−0.911192 | + | 0.411983i | \(0.864836\pi\) | |||||||
\(720\) | 6.70723 | + | 0.114405i | 0.249964 | + | 0.00426364i | ||||
\(721\) | 21.8026 | + | 47.7411i | 0.811973 | + | 1.77797i | ||||
\(722\) | 5.10257 | + | 5.88868i | 0.189898 | + | 0.219154i | ||||
\(723\) | −2.47129 | − | 8.19815i | −0.0919082 | − | 0.304892i | ||||
\(724\) | −15.8972 | − | 2.28567i | −0.590814 | − | 0.0849463i | ||||
\(725\) | −0.842726 | + | 13.3929i | −0.0312980 | + | 0.497399i | ||||
\(726\) | −17.6155 | + | 5.31010i | −0.653773 | + | 0.197076i | ||||
\(727\) | 32.7517 | + | 37.7975i | 1.21469 | + | 1.40183i | 0.889968 | + | 0.456022i | \(0.150726\pi\) |
0.324725 | + | 0.945809i | \(0.394728\pi\) | |||||||
\(728\) | −6.90778 | + | 3.15468i | −0.256019 | + | 0.116920i | ||||
\(729\) | 23.3216 | + | 13.6052i | 0.863764 | + | 0.503897i | ||||
\(730\) | −8.16443 | − | 13.6272i | −0.302179 | − | 0.504365i | ||||
\(731\) | 6.30285 | + | 5.46145i | 0.233119 | + | 0.201999i | ||||
\(732\) | −19.2274 | − | 8.61450i | −0.710665 | − | 0.318401i | ||||
\(733\) | −8.63708 | + | 18.9126i | −0.319018 | + | 0.698552i | −0.999412 | − | 0.0342949i | \(-0.989081\pi\) |
0.680394 | + | 0.732847i | \(0.261809\pi\) | |||||||
\(734\) | 1.28651 | + | 8.94788i | 0.0474860 | + | 0.330272i | ||||
\(735\) | −3.46890 | − | 29.1209i | −0.127952 | − | 1.07414i | ||||
\(736\) | −4.11464 | + | 2.46368i | −0.151668 | + | 0.0908125i | ||||
\(737\) | −12.6539 | −0.466112 | ||||||||
\(738\) | 2.69833 | + | 8.72407i | 0.0993269 | + | 0.321137i | ||||
\(739\) | −5.32461 | + | 11.6593i | −0.195869 | + | 0.428893i | −0.981927 | − | 0.189259i | \(-0.939391\pi\) |
0.786058 | + | 0.618153i | \(0.212119\pi\) | |||||||
\(740\) | −9.42153 | + | 19.0248i | −0.346342 | + | 0.699365i | ||||
\(741\) | −2.66491 | − | 17.6348i | −0.0978980 | − | 0.647830i | ||||
\(742\) | 12.0778 | − | 41.1333i | 0.443391 | − | 1.51005i | ||||
\(743\) | 23.5673 | + | 36.6715i | 0.864602 | + | 1.34535i | 0.937492 | + | 0.348007i | \(0.113142\pi\) |
−0.0728897 | + | 0.997340i | \(0.523222\pi\) | |||||||
\(744\) | 8.04733 | + | 2.30026i | 0.295029 | + | 0.0843316i | ||||
\(745\) | 24.1872 | + | 0.760218i | 0.886150 | + | 0.0278522i | ||||
\(746\) | 27.5392 | + | 17.6984i | 1.00828 | + | 0.647984i | ||||
\(747\) | −0.323784 | − | 22.5384i | −0.0118466 | − | 0.824638i | ||||
\(748\) | 12.1021 | + | 1.74003i | 0.442498 | + | 0.0636216i | ||||
\(749\) | −38.8952 | + | 60.5221i | −1.42120 | + | 2.21143i | ||||
\(750\) | 15.3186 | + | 11.8466i | 0.559355 | + | 0.432576i | ||||
\(751\) | 27.4902 | − | 12.5543i | 1.00313 | − | 0.458115i | 0.155008 | − | 0.987913i | \(-0.450460\pi\) |
0.848123 | + | 0.529799i | \(0.177733\pi\) | |||||||
\(752\) | −8.56035 | + | 5.50140i | −0.312164 | + | 0.200616i | ||||
\(753\) | −28.4805 | + | 18.5937i | −1.03789 | + | 0.677593i | ||||
\(754\) | −3.49641 | + | 4.03507i | −0.127332 | + | 0.146949i | ||||
\(755\) | 8.87970 | − | 17.9307i | 0.323165 | − | 0.652564i | ||||
\(756\) | −16.4518 | + | 11.0809i | −0.598345 | + | 0.403009i | ||||
\(757\) | 4.92737 | + | 34.2706i | 0.179088 | + | 1.24559i | 0.858878 | + | 0.512180i | \(0.171162\pi\) |
−0.679790 | + | 0.733407i | \(0.737929\pi\) | |||||||
\(758\) | 17.2558i | 0.626760i | ||||||||
\(759\) | −4.55839 | − | 38.3557i | −0.165459 | − | 1.39223i | ||||
\(760\) | −8.50468 | − | 7.85046i | −0.308497 | − | 0.284766i | ||||
\(761\) | 2.72082 | − | 0.391195i | 0.0986296 | − | 0.0141808i | −0.0928233 | − | 0.995683i | \(-0.529589\pi\) |
0.191453 | + | 0.981502i | \(0.438680\pi\) | |||||||
\(762\) | −22.8379 | + | 10.6286i | −0.827330 | + | 0.385034i | ||||
\(763\) | 8.67159 | + | 29.5327i | 0.313932 | + | 1.06916i | ||||
\(764\) | −14.1654 | + | 16.3478i | −0.512487 | + | 0.591442i | ||||
\(765\) | 13.5253 | − | 11.3217i | 0.489008 | − | 0.409337i | ||||
\(766\) | −5.52757 | − | 8.60106i | −0.199719 | − | 0.310769i | ||||
\(767\) | 0.770728 | + | 1.68766i | 0.0278294 | + | 0.0609379i | ||||
\(768\) | 1.73201 | − | 0.0124402i | 0.0624984 | − | 0.000448899i | ||||
\(769\) | −10.5539 | + | 16.4221i | −0.380582 | + | 0.592197i | −0.977713 | − | 0.209947i | \(-0.932671\pi\) |
0.597131 | + | 0.802144i | \(0.296307\pi\) | |||||||
\(770\) | −25.0373 | − | 30.7986i | −0.902280 | − | 1.10991i | ||||
\(771\) | 23.9061 | + | 27.1920i | 0.860956 | + | 0.979295i | ||||
\(772\) | 1.90309 | − | 2.96126i | 0.0684937 | − | 0.106578i | ||||
\(773\) | −14.6560 | + | 12.6995i | −0.527141 | + | 0.456770i | −0.877315 | − | 0.479914i | \(-0.840668\pi\) |
0.350175 | + | 0.936684i | \(0.386122\pi\) | |||||||
\(774\) | −7.93013 | + | 5.25886i | −0.285043 | + | 0.189026i | ||||
\(775\) | 14.6442 | + | 19.2173i | 0.526035 | + | 0.690305i | ||||
\(776\) | 4.01982 | + | 1.18033i | 0.144303 | + | 0.0423713i | ||||
\(777\) | −9.37983 | − | 62.0700i | −0.336499 | − | 2.22675i | ||||
\(778\) | −17.0040 | + | 4.99283i | −0.609624 | + | 0.179002i | ||||
\(779\) | 6.54516 | − | 14.3319i | 0.234505 | − | 0.513494i | ||||
\(780\) | 1.99087 | + | 7.44306i | 0.0712845 | + | 0.266504i | ||||
\(781\) | 23.5517i | 0.842745i | ||||||||
\(782\) | −3.93427 | + | 11.9806i | −0.140689 | + | 0.428427i | ||||
\(783\) | −7.28515 | + | 11.8917i | −0.260350 | + | 0.424974i | ||||
\(784\) | −1.07763 | − | 7.49507i | −0.0384867 | − | 0.267681i | ||||
\(785\) | −11.5747 | − | 27.6089i | −0.413118 | − | 0.985406i | ||||
\(786\) | 6.69823 | + | 3.00102i | 0.238918 | + | 0.107043i | ||||
\(787\) | 10.9098 | − | 12.5906i | 0.388892 | − | 0.448805i | −0.527220 | − | 0.849729i | \(-0.676765\pi\) |
0.916111 | + | 0.400924i | \(0.131311\pi\) | |||||||
\(788\) | 20.1839 | + | 5.92653i | 0.719022 | + | 0.211124i | ||||
\(789\) | 1.95397 | + | 0.266629i | 0.0695633 | + | 0.00949225i | ||||
\(790\) | 5.68144 | − | 17.3170i | 0.202137 | − | 0.616110i | ||||
\(791\) | −22.3698 | + | 19.3836i | −0.795380 | + | 0.689201i | ||||
\(792\) | −5.61215 | + | 12.7713i | −0.199419 | + | 0.453807i | ||||
\(793\) | 3.44385 | − | 23.9525i | 0.122295 | − | 0.850579i | ||||
\(794\) | −16.8211 | − | 2.41851i | −0.596959 | − | 0.0858298i | ||||
\(795\) | −39.1146 | − | 19.0219i | −1.38725 | − | 0.674636i | ||||
\(796\) | 20.8766 | − | 18.0897i | 0.739951 | − | 0.641171i | ||||
\(797\) | 20.9008 | − | 9.54509i | 0.740346 | − | 0.338105i | −0.00928857 | − | 0.999957i | \(-0.502957\pi\) |
0.749634 | + | 0.661852i | \(0.230229\pi\) | |||||||
\(798\) | 33.9092 | + | 4.62707i | 1.20037 | + | 0.163797i | ||||
\(799\) | −7.53799 | + | 25.6720i | −0.266675 | + | 0.908212i | ||||
\(800\) | 4.02821 | + | 2.96202i | 0.142419 | + | 0.104723i | ||||
\(801\) | −17.8024 | − | 37.5449i | −0.629016 | − | 1.32659i | ||||
\(802\) | −2.32448 | + | 5.08991i | −0.0820803 | + | 0.179731i | ||||
\(803\) | 32.6988 | − | 4.70138i | 1.15392 | − | 0.165908i | ||||
\(804\) | −3.06095 | + | 3.58421i | −0.107951 | + | 0.126406i | ||||
\(805\) | 35.7653 | − | 19.9159i | 1.26056 | − | 0.701942i | ||||
\(806\) | 9.61295i | 0.338602i | ||||||||
\(807\) | 8.35322 | − | 13.2054i | 0.294047 | − | 0.464854i | ||||
\(808\) | −5.29658 | − | 2.41887i | −0.186333 | − | 0.0850954i | ||||
\(809\) | 4.67057 | + | 15.9065i | 0.164208 | + | 0.559243i | 0.999949 | + | 0.0101178i | \(0.00322066\pi\) |
−0.835740 | + | 0.549125i | \(0.814961\pi\) | |||||||
\(810\) | 8.31078 | + | 18.3284i | 0.292011 | + | 0.643995i | ||||
\(811\) | −37.7898 | − | 11.0961i | −1.32698 | − | 0.389637i | −0.459974 | − | 0.887932i | \(-0.652141\pi\) |
−0.867007 | + | 0.498296i | \(0.833959\pi\) | |||||||
\(812\) | −5.53902 | − | 8.61888i | −0.194381 | − | 0.302463i | ||||
\(813\) | 0.376437 | + | 0.107601i | 0.0132022 | + | 0.00377374i | ||||
\(814\) | −28.9110 | − | 33.3651i | −1.01333 | − | 1.16944i | ||||
\(815\) | −10.8467 | − | 41.7506i | −0.379945 | − | 1.46246i | ||||
\(816\) | 3.42034 | − | 3.00703i | 0.119736 | − | 0.105267i | ||||
\(817\) | 16.2504 | + | 2.33645i | 0.568529 | + | 0.0817421i | ||||
\(818\) | −23.5013 | − | 15.1033i | −0.821702 | − | 0.528076i | ||||
\(819\) | −17.4301 | − | 14.6703i | −0.609057 | − | 0.512620i | ||||
\(820\) | −2.12182 | + | 6.46729i | −0.0740972 | + | 0.225848i | ||||
\(821\) | 7.17674 | + | 11.1672i | 0.250470 | + | 0.389739i | 0.943607 | − | 0.331067i | \(-0.107408\pi\) |
−0.693137 | + | 0.720805i | \(0.743772\pi\) | |||||||
\(822\) | 2.00031 | + | 3.06393i | 0.0697689 | + | 0.106867i | ||||
\(823\) | 27.1918 | + | 23.5618i | 0.947847 | + | 0.821314i | 0.984025 | − | 0.178032i | \(-0.0569729\pi\) |
−0.0361782 | + | 0.999345i | \(0.511518\pi\) | |||||||
\(824\) | 13.1919 | − | 3.87349i | 0.459561 | − | 0.134939i | ||||
\(825\) | −35.0360 | + | 19.8533i | −1.21980 | + | 0.691205i | ||||
\(826\) | −3.52392 | + | 0.506664i | −0.122613 | + | 0.0176291i | ||||
\(827\) | − | 13.7417i | − | 0.477846i | −0.971039 | − | 0.238923i | \(-0.923206\pi\) | ||
0.971039 | − | 0.238923i | \(-0.0767943\pi\) | |||||||
\(828\) | −11.9669 | − | 7.98701i | −0.415880 | − | 0.277568i | ||||
\(829\) | −30.8553 | −1.07165 | −0.535824 | − | 0.844330i | \(-0.679999\pi\) | ||||
−0.535824 | + | 0.844330i | \(0.679999\pi\) | |||||||
\(830\) | 9.52278 | − | 13.8415i | 0.330540 | − | 0.480445i | ||||
\(831\) | 12.8476 | − | 5.97921i | 0.445680 | − | 0.207417i | ||||
\(832\) | 0.560465 | + | 1.90877i | 0.0194306 | + | 0.0661746i | ||||
\(833\) | −15.0470 | − | 13.0383i | −0.521348 | − | 0.451751i | ||||
\(834\) | −5.78402 | + | 3.77614i | −0.200284 | + | 0.130757i | ||||
\(835\) | −5.60456 | + | 31.8433i | −0.193954 | + | 1.10198i | ||||
\(836\) | 21.8937 | − | 9.99850i | 0.757208 | − | 0.345805i | ||||
\(837\) | 4.10802 | + | 24.7706i | 0.141994 | + | 0.856196i | ||||
\(838\) | −26.7820 | − | 17.2117i | −0.925169 | − | 0.594570i | ||||
\(839\) | −0.673592 | + | 4.68494i | −0.0232550 | + | 0.161742i | −0.998140 | − | 0.0609681i | \(-0.980581\pi\) |
0.974885 | + | 0.222710i | \(0.0714903\pi\) | |||||||
\(840\) | −14.7802 | − | 0.358310i | −0.509965 | − | 0.0123629i | ||||
\(841\) | 18.3367 | + | 11.7843i | 0.632298 | + | 0.406354i | ||||
\(842\) | 23.5131 | − | 20.3742i | 0.810316 | − | 0.702142i | ||||
\(843\) | −35.5090 | − | 10.1499i | −1.22300 | − | 0.349583i | ||||
\(844\) | −14.0462 | + | 9.02695i | −0.483490 | + | 0.310720i | ||||
\(845\) | 17.3448 | − | 10.3918i | 0.596681 | − | 0.357488i | ||||
\(846\) | −25.9155 | − | 16.1336i | −0.890992 | − | 0.554685i | ||||
\(847\) | 38.9067 | − | 11.4240i | 1.33685 | − | 0.392534i | ||||
\(848\) | −10.2154 | − | 4.66522i | −0.350799 | − | 0.160204i | ||||
\(849\) | 16.8912 | + | 10.6847i | 0.579704 | + | 0.366697i | ||||
\(850\) | 13.1049 | − | 1.05010i | 0.449495 | − | 0.0360180i | ||||
\(851\) | 39.0656 | − | 23.3909i | 1.33915 | − | 0.801830i | ||||
\(852\) | 6.67102 | + | 5.69710i | 0.228545 | + | 0.195179i | ||||
\(853\) | 10.8612 | − | 1.56161i | 0.371882 | − | 0.0534686i | 0.0461598 | − | 0.998934i | \(-0.485302\pi\) |
0.325722 | + | 0.945465i | \(0.394393\pi\) | |||||||
\(854\) | 42.2387 | + | 19.2898i | 1.44538 | + | 0.660082i | ||||
\(855\) | 10.3491 | − | 33.1441i | 0.353933 | − | 1.13350i | ||||
\(856\) | 14.2431 | + | 12.3417i | 0.486818 | + | 0.421830i | ||||
\(857\) | −26.3987 | − | 7.75136i | −0.901763 | − | 0.264782i | −0.202193 | − | 0.979346i | \(-0.564807\pi\) |
−0.699570 | + | 0.714564i | \(0.746625\pi\) | |||||||
\(858\) | −15.8751 | − | 2.16624i | −0.541968 | − | 0.0739541i | ||||
\(859\) | −19.7013 | − | 43.1398i | −0.672199 | − | 1.47191i | −0.870703 | − | 0.491810i | \(-0.836335\pi\) |
0.198504 | − | 0.980100i | \(-0.436392\pi\) | |||||||
\(860\) | −7.08885 | − | 0.222807i | −0.241728 | − | 0.00759766i | ||||
\(861\) | −5.80872 | − | 19.2696i | −0.197961 | − | 0.656706i | ||||
\(862\) | −3.65505 | + | 25.4215i | −0.124492 | + | 0.865859i | ||||
\(863\) | −3.95732 | + | 27.5238i | −0.134709 | + | 0.936920i | 0.804593 | + | 0.593827i | \(0.202384\pi\) |
−0.939301 | + | 0.343093i | \(0.888525\pi\) | |||||||
\(864\) | 2.25990 | + | 4.67898i | 0.0768832 | + | 0.159182i | ||||
\(865\) | −20.1245 | − | 0.632525i | −0.684253 | − | 0.0215065i | ||||
\(866\) | −12.3277 | − | 26.9938i | −0.418911 | − | 0.917288i | ||||
\(867\) | −2.36198 | + | 17.3096i | −0.0802172 | + | 0.587866i | ||||
\(868\) | −17.6990 | − | 5.19690i | −0.600744 | − | 0.176394i | ||||
\(869\) | 28.6428 | + | 24.8191i | 0.971641 | + | 0.841932i | ||||
\(870\) | −9.55713 | + | 4.08765i | −0.324017 | + | 0.138584i | ||||
\(871\) | −4.92435 | − | 2.24888i | −0.166855 | − | 0.0762002i | ||||
\(872\) | 7.98099 | − | 1.14749i | 0.270270 | − | 0.0388590i | ||||
\(873\) | 1.96721 | + | 12.4137i | 0.0665801 | + | 0.420139i | ||||
\(874\) | 6.23540 | + | 24.0277i | 0.210916 | + | 0.812750i | ||||
\(875\) | −33.5729 | − | 26.3510i | −1.13497 | − | 0.890828i | ||||
\(876\) | 6.57810 | − | 10.3992i | 0.222253 | − | 0.351356i | ||||
\(877\) | −2.93588 | − | 1.34077i | −0.0991377 | − | 0.0452747i | 0.365229 | − | 0.930918i | \(-0.380991\pi\) |
−0.464367 | + | 0.885643i | \(0.653718\pi\) | |||||||
\(878\) | −23.9008 | + | 7.01791i | −0.806613 | + | 0.236843i | ||||
\(879\) | 52.5543 | − | 7.94185i | 1.77261 | − | 0.267872i | ||||
\(880\) | −8.91937 | + | 5.34385i | −0.300672 | + | 0.180141i | ||||
\(881\) | −22.6678 | + | 14.5677i | −0.763699 | + | 0.490799i | −0.863587 | − | 0.504199i | \(-0.831788\pi\) |
0.0998887 | + | 0.994999i | \(0.468151\pi\) | |||||||
\(882\) | 18.9319 | − | 12.5547i | 0.637470 | − | 0.422737i | ||||
\(883\) | 25.4111 | − | 22.0189i | 0.855153 | − | 0.740994i | −0.112400 | − | 0.993663i | \(-0.535854\pi\) |
0.967553 | + | 0.252669i | \(0.0813083\pi\) | |||||||
\(884\) | 4.40040 | + | 2.82796i | 0.148001 | + | 0.0951147i | ||||
\(885\) | −0.0875397 | + | 3.61099i | −0.00294261 | + | 0.121382i | ||||
\(886\) | −0.222399 | + | 1.54682i | −0.00747163 | + | 0.0519663i | ||||
\(887\) | 18.0351 | + | 11.5905i | 0.605559 | + | 0.389169i | 0.807189 | − | 0.590292i | \(-0.200988\pi\) |
−0.201630 | + | 0.979462i | \(0.564624\pi\) | |||||||
\(888\) | −16.4442 | + | 0.118111i | −0.551830 | + | 0.00396356i | ||||
\(889\) | 50.5005 | − | 23.0628i | 1.69373 | − | 0.773501i | ||||
\(890\) | 5.36848 | − | 30.5020i | 0.179952 | − | 1.02243i | ||||
\(891\) | −41.8326 | + | 1.20217i | −1.40144 | + | 0.0402743i | ||||
\(892\) | −2.34209 | − | 2.02943i | −0.0784188 | − | 0.0679503i | ||||
\(893\) | 14.8389 | + | 50.5368i | 0.496566 | + | 1.69115i | ||||
\(894\) | 7.90904 | + | 16.9943i | 0.264518 | + | 0.568374i | ||||
\(895\) | 0.303680 | − | 0.441403i | 0.0101509 | − | 0.0147545i | ||||
\(896\) | −3.81735 | −0.127529 | ||||||||
\(897\) | 5.04274 | − | 15.7366i | 0.168372 | − | 0.525428i | ||||
\(898\) | − | 30.2777i | − | 1.01038i | ||||||
\(899\) | −12.8370 | + | 1.84569i | −0.428139 | + | 0.0615571i | ||||
\(900\) | −2.85167 | + | 14.7264i | −0.0950556 | + | 0.490881i | ||||
\(901\) | −28.3326 | + | 8.31919i | −0.943894 | + | 0.277152i | ||||
\(902\) | −10.6971 | − | 9.26909i | −0.356174 | − | 0.308627i | ||||
\(903\) | 17.5604 | − | 11.4644i | 0.584373 | − | 0.381512i | ||||
\(904\) | 4.19211 | + | 6.52304i | 0.139427 | + | 0.216953i | ||||
\(905\) | 11.1953 | − | 34.1232i | 0.372144 | − | 1.13429i | ||||
\(906\) | 15.4985 | − | 0.111319i | 0.514902 | − | 0.00369832i | ||||
\(907\) | 24.1177 | + | 15.4995i | 0.800814 | + | 0.514652i | 0.875881 | − | 0.482526i | \(-0.160281\pi\) |
−0.0750673 | + | 0.997178i | \(0.523917\pi\) | |||||||
\(908\) | −9.04931 | − | 1.30109i | −0.300312 | − | 0.0431783i | ||||
\(909\) | −0.250922 | − | 17.4665i | −0.00832254 | − | 0.579327i | ||||
\(910\) | −4.26983 | − | 16.4352i | −0.141544 | − | 0.544821i | ||||
\(911\) | 28.0917 | + | 32.4195i | 0.930718 | + | 1.07411i | 0.997084 | + | 0.0763109i | \(0.0243141\pi\) |
−0.0663657 | + | 0.997795i | \(0.521140\pi\) | |||||||
\(912\) | 2.46395 | − | 8.62000i | 0.0815896 | − | 0.285437i | ||||
\(913\) | 18.8889 | + | 29.3918i | 0.625133 | + | 0.972725i | ||||
\(914\) | −33.1332 | − | 9.72878i | −1.09595 | − | 0.321799i | ||||
\(915\) | 26.4236 | − | 39.0040i | 0.873536 | − | 1.28943i | ||||
\(916\) | 5.61268 | + | 19.1150i | 0.185448 | + | 0.631578i | ||||
\(917\) | −14.7147 | − | 6.71996i | −0.485921 | − | 0.221913i | ||||
\(918\) | 12.5474 | + | 5.40659i | 0.414126 | + | 0.178444i | ||||
\(919\) | − | 42.6968i | − | 1.40844i | −0.709984 | − | 0.704218i | \(-0.751298\pi\) | ||
0.709984 | − | 0.704218i | \(-0.248702\pi\) | |||||||
\(920\) | −3.83073 | − | 10.0163i | −0.126295 | − | 0.330226i | ||||
\(921\) | −37.6402 | − | 32.1450i | −1.24029 | − | 1.05921i | ||||
\(922\) | −0.993726 | + | 0.142876i | −0.0327266 | + | 0.00470538i | ||||
\(923\) | −4.18566 | + | 9.16531i | −0.137773 | + | 0.301680i | ||||
\(924\) | 12.5707 | − | 28.0576i | 0.413546 | − | 0.923027i | ||||
\(925\) | −38.2450 | − | 28.1223i | −1.25749 | − | 0.924655i | ||||
\(926\) | 0.640373 | − | 2.18091i | 0.0210440 | − | 0.0716691i | ||||
\(927\) | 27.4556 | + | 30.7808i | 0.901762 | + | 1.01097i | ||||
\(928\) | −2.44134 | + | 1.11492i | −0.0801408 | + | 0.0365991i | ||||
\(929\) | 2.18797 | − | 1.89589i | 0.0717850 | − | 0.0622021i | −0.618229 | − | 0.785998i | \(-0.712150\pi\) |
0.690014 | + | 0.723796i | \(0.257604\pi\) | |||||||
\(930\) | −8.18482 | + | 16.8304i | −0.268391 | + | 0.551891i | ||||
\(931\) | −38.7951 | − | 5.57789i | −1.27146 | − | 0.182808i | ||||
\(932\) | 0.680467 | − | 4.73275i | 0.0222894 | − | 0.155026i | ||||
\(933\) | 8.49980 | + | 28.1969i | 0.278271 | + | 0.923124i | ||||
\(934\) | −8.66448 | + | 7.50781i | −0.283510 | + | 0.245663i | ||||
\(935\) | −8.52271 | + | 25.9771i | −0.278722 | + | 0.849543i | ||||
\(936\) | −4.45375 | + | 3.97263i | −0.145575 | + | 0.129849i | ||||
\(937\) | −3.16941 | − | 0.930624i | −0.103540 | − | 0.0304022i | 0.229552 | − | 0.973296i | \(-0.426274\pi\) |
−0.333092 | + | 0.942894i | \(0.608092\pi\) | |||||||
\(938\) | 6.80272 | − | 7.85076i | 0.222117 | − | 0.256336i | ||||
\(939\) | −1.03645 | + | 2.31335i | −0.0338234 | + | 0.0754932i | ||||
\(940\) | −8.79730 | − | 20.9841i | −0.286936 | − | 0.684426i | ||||
\(941\) | 0.880945 | + | 6.12711i | 0.0287180 | + | 0.199738i | 0.999129 | − | 0.0417196i | \(-0.0132836\pi\) |
−0.970411 | + | 0.241458i | \(0.922375\pi\) | |||||||
\(942\) | 15.0594 | − | 17.6338i | 0.490662 | − | 0.574540i | ||||
\(943\) | 11.3300 | − | 9.20543i | 0.368955 | − | 0.299770i | ||||
\(944\) | 0.932627i | 0.0303544i | ||||||||
\(945\) | −18.0259 | − | 40.5254i | −0.586383 | − | 1.31829i | ||||
\(946\) | 6.12688 | − | 13.4160i | 0.199202 | − | 0.436191i | ||||
\(947\) | −53.0377 | + | 15.5733i | −1.72349 | + | 0.506064i | −0.985635 | − | 0.168890i | \(-0.945982\pi\) |
−0.737860 | + | 0.674954i | \(0.764164\pi\) | |||||||
\(948\) | 13.9587 | − | 2.10939i | 0.453356 | − | 0.0685098i | ||||
\(949\) | 13.5605 | + | 3.98173i | 0.440193 | + | 0.129252i | ||||
\(950\) | 20.5848 | − | 15.6863i | 0.667860 | − | 0.508931i | ||||
\(951\) | −4.82736 | − | 1.37986i | −0.156538 | − | 0.0447450i | ||||
\(952\) | −7.58566 | + | 6.57301i | −0.245853 | + | 0.213033i | ||||
\(953\) | 9.07091 | − | 14.1146i | 0.293836 | − | 0.457217i | −0.662678 | − | 0.748904i | \(-0.730580\pi\) |
0.956514 | + | 0.291687i | \(0.0942166\pi\) | |||||||
\(954\) | −0.483948 | − | 33.6873i | −0.0156684 | − | 1.09067i | ||||
\(955\) | −30.5108 | − | 37.5318i | −0.987308 | − | 1.21450i | ||||
\(956\) | −7.90638 | + | 12.3026i | −0.255710 | + | 0.397893i | ||||
\(957\) | −0.155254 | − | 21.6154i | −0.00501865 | − | 0.698726i | ||||
\(958\) | 3.37056 | + | 7.38050i | 0.108898 | + | 0.238453i | ||||
\(959\) | −4.35996 | − | 6.78424i | −0.140791 | − | 0.219074i | ||||
\(960\) | −0.643929 | + | 3.81908i | −0.0207827 | + | 0.123260i | ||||
\(961\) | 5.00952 | − | 5.78130i | 0.161598 | − | 0.186494i | ||||
\(962\) | −5.32121 | − | 18.1224i | −0.171563 | − | 0.584289i | ||||
\(963\) | −15.1479 | + | 54.4718i | −0.488136 | + | 1.75533i | ||||
\(964\) | 4.89326 | − | 0.703545i | 0.157601 | − | 0.0226596i | ||||
\(965\) | 5.78371 | + | 5.33880i | 0.186184 | + | 0.171862i | ||||
\(966\) | 26.2474 | + | 17.7919i | 0.844496 | + | 0.572445i | ||||
\(967\) | 14.1125i | 0.453827i | 0.973915 | + | 0.226913i | \(0.0728634\pi\) | ||||
−0.973915 | + | 0.226913i | \(0.927137\pi\) | |||||||
\(968\) | −1.51172 | − | 10.5142i | −0.0485885 | − | 0.337940i | ||||
\(969\) | −9.94636 | − | 21.3719i | −0.319523 | − | 0.686565i | ||||
\(970\) | −4.15742 | + | 8.39503i | −0.133487 | + | 0.269548i | ||||
\(971\) | 20.0442 | − | 23.1323i | 0.643249 | − | 0.742349i | −0.336697 | − | 0.941613i | \(-0.609310\pi\) |
0.979946 | + | 0.199264i | \(0.0638551\pi\) | |||||||
\(972\) | −9.77870 | + | 12.1399i | −0.313652 | + | 0.389387i | ||||
\(973\) | 12.8071 | − | 8.23064i | 0.410577 | − | 0.263862i | ||||
\(974\) | 15.0088 | − | 6.85429i | 0.480913 | − | 0.219626i | ||||
\(975\) | −17.1629 | + | 1.49940i | −0.549653 | + | 0.0480192i | ||||
\(976\) | 6.57646 | − | 10.2332i | 0.210507 | − | 0.327556i | ||||
\(977\) | 28.5886 | + | 4.11042i | 0.914631 | + | 0.131504i | 0.583530 | − | 0.812091i | \(-0.301671\pi\) |
0.331101 | + | 0.943595i | \(0.392580\pi\) | |||||||
\(978\) | 25.0944 | − | 22.0620i | 0.802430 | − | 0.705464i | ||||
\(979\) | 54.1809 | + | 34.8200i | 1.73163 | + | 1.11285i | ||||
\(980\) | 16.9235 | + | 0.531915i | 0.540600 | + | 0.0169914i | ||||
\(981\) | 13.3686 | + | 20.1593i | 0.426827 | + | 0.643636i | ||||
\(982\) | 5.97705 | + | 9.30048i | 0.190735 | + | 0.296790i | ||||
\(983\) | 7.57308 | − | 25.7915i | 0.241544 | − | 0.822622i | −0.746090 | − | 0.665845i | \(-0.768071\pi\) |
0.987634 | − | 0.156777i | \(-0.0501105\pi\) | |||||||
\(984\) | −5.21308 | + | 0.787784i | −0.166187 | + | 0.0251136i | ||||
\(985\) | −20.8748 | + | 42.1523i | −0.665127 | + | 1.34308i | ||||
\(986\) | −2.93156 | + | 6.41921i | −0.0933598 | + | 0.204429i | ||||
\(987\) | 56.8595 | + | 35.9669i | 1.80986 | + | 1.14484i | ||||
\(988\) | 10.2970 | 0.327592 | ||||||||
\(989\) | 12.5296 | + | 8.62526i | 0.398419 | + | 0.274267i | ||||
\(990\) | −25.9498 | − | 17.3093i | −0.824740 | − | 0.550126i | ||||
\(991\) | −1.34243 | − | 9.33682i | −0.0426438 | − | 0.296594i | −0.999971 | − | 0.00758838i | \(-0.997585\pi\) |
0.957327 | − | 0.289005i | \(-0.0933246\pi\) | |||||||
\(992\) | −2.00737 | + | 4.39553i | −0.0637341 | + | 0.139558i | ||||
\(993\) | −9.29662 | + | 20.7499i | −0.295019 | + | 0.658478i | ||||
\(994\) | −14.6120 | − | 12.6614i | −0.463465 | − | 0.401595i | ||||
\(995\) | 31.7456 | + | 52.9863i | 1.00640 | + | 1.67978i | ||||
\(996\) | 12.8944 | + | 1.75951i | 0.408575 | + | 0.0557521i | ||||
\(997\) | −31.2843 | + | 14.2871i | −0.990783 | + | 0.452476i | −0.843797 | − | 0.536663i | \(-0.819685\pi\) |
−0.146987 | + | 0.989138i | \(0.546957\pi\) | |||||||
\(998\) | −0.917027 | − | 1.05831i | −0.0290280 | − | 0.0335001i | ||||
\(999\) | −21.4561 | − | 44.4236i | −0.678841 | − | 1.40550i |
(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.n.a.89.15 | yes | 240 | |
3.2 | odd | 2 | 690.2.n.b.89.22 | yes | 240 | ||
5.4 | even | 2 | 690.2.n.b.89.10 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.a.89.3 | ✓ | 240 | |
23.15 | odd | 22 | inner | 690.2.n.a.659.3 | yes | 240 | |
69.38 | even | 22 | 690.2.n.b.659.10 | yes | 240 | ||
115.84 | odd | 22 | 690.2.n.b.659.22 | yes | 240 | ||
345.314 | even | 22 | inner | 690.2.n.a.659.15 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.3 | ✓ | 240 | 15.14 | odd | 2 | inner | |
690.2.n.a.89.15 | yes | 240 | 1.1 | even | 1 | trivial | |
690.2.n.a.659.3 | yes | 240 | 23.15 | odd | 22 | inner | |
690.2.n.a.659.15 | yes | 240 | 345.314 | even | 22 | inner | |
690.2.n.b.89.10 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.b.89.22 | yes | 240 | 3.2 | odd | 2 | ||
690.2.n.b.659.10 | yes | 240 | 69.38 | even | 22 | ||
690.2.n.b.659.22 | yes | 240 | 115.84 | odd | 22 |