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 | 89.3 | ||
Character | \(\chi\) | \(=\) | 690.89 |
Dual form | 690.2.n.a.659.3 |
$q$-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 | ||||
\(3\) | −1.66535 | + | 0.476026i | −0.961492 | + | 0.274834i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −2.23496 | + | 0.0702463i | −0.999506 | + | 0.0314151i | ||||
\(6\) | 0.708185 | + | 1.58066i | 0.289115 | + | 0.645300i | ||||
\(7\) | 3.21136 | − | 2.06381i | 1.21378 | − | 0.780048i | 0.232492 | − | 0.972598i | \(-0.425312\pi\) |
0.981287 | + | 0.192550i | \(0.0616758\pi\) | |||||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | 2.54680 | − | 1.58550i | 0.848933 | − | 0.528501i | ||||
\(10\) | 0.387600 | + | 2.20222i | 0.122570 | + | 0.696403i | ||||
\(11\) | −0.661762 | + | 4.60265i | −0.199529 | + | 1.38775i | 0.606127 | + | 0.795368i | \(0.292722\pi\) |
−0.805656 | + | 0.592384i | \(0.798187\pi\) | |||||||
\(12\) | 1.46378 | − | 0.925928i | 0.422557 | − | 0.267292i | ||||
\(13\) | −1.07552 | + | 1.67355i | −0.298297 | + | 0.464159i | −0.957756 | − | 0.287581i | \(-0.907149\pi\) |
0.659460 | + | 0.751740i | \(0.270785\pi\) | |||||||
\(14\) | −2.49983 | − | 2.88496i | −0.668108 | − | 0.771038i | ||||
\(15\) | 3.68856 | − | 1.18089i | 0.952383 | − | 0.304904i | ||||
\(16\) | 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 | \(-0.0123908\pi\) | |||||||
\(18\) | −1.93181 | − | 2.29523i | −0.455332 | − | 0.540992i | ||||
\(19\) | −1.45827 | − | 4.96642i | −0.334550 | − | 1.13937i | −0.939340 | − | 0.342988i | \(-0.888561\pi\) |
0.604789 | − | 0.796386i | \(-0.293257\pi\) | |||||||
\(20\) | 2.12464 | − | 0.697063i | 0.475084 | − | 0.155868i | ||||
\(21\) | −4.36561 | + | 4.96567i | −0.952655 | + | 1.08360i | ||||
\(22\) | 4.64998 | 0.991380 | ||||||||
\(23\) | 0.832592 | − | 4.72301i | 0.173607 | − | 0.984815i | ||||
\(24\) | −1.12482 | − | 1.31711i | −0.229603 | − | 0.268854i | ||||
\(25\) | 4.99013 | − | 0.313996i | 0.998026 | − | 0.0627992i | ||||
\(26\) | 1.80958 | + | 0.826406i | 0.354887 | + | 0.162071i | ||||
\(27\) | −3.48658 | + | 3.85276i | −0.670992 | + | 0.741465i | ||||
\(28\) | −2.49983 | + | 2.88496i | −0.472424 | + | 0.545206i | ||||
\(29\) | −0.756135 | + | 2.57516i | −0.140411 | + | 0.478195i | −0.999430 | − | 0.0337477i | \(-0.989256\pi\) |
0.859020 | + | 0.511943i | \(0.171074\pi\) | |||||||
\(30\) | −1.69380 | − | 3.48296i | −0.309245 | − | 0.635899i | ||||
\(31\) | −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 | ||||
\(33\) | −1.08892 | − | 7.98006i | −0.189556 | − | 1.38915i | ||||
\(34\) | −2.60262 | − | 0.374200i | −0.446346 | − | 0.0641748i | ||||
\(35\) | −7.03229 | + | 4.83814i | −1.18867 | + | 0.817794i | ||||
\(36\) | −1.99695 | + | 2.23879i | −0.332825 | + | 0.373132i | ||||
\(37\) | −6.21744 | − | 7.17531i | −1.02214 | − | 1.17961i | −0.983601 | − | 0.180356i | \(-0.942275\pi\) |
−0.0385393 | − | 0.999257i | \(-0.512270\pi\) | |||||||
\(38\) | −4.70833 | + | 2.15022i | −0.763792 | + | 0.348812i | ||||
\(39\) | 0.994474 | − | 3.29902i | 0.159243 | − | 0.528267i | ||||
\(40\) | −0.992336 | − | 2.00381i | −0.156902 | − | 0.316831i | ||||
\(41\) | −2.30046 | − | 1.99336i | −0.359271 | − | 0.311310i | 0.456457 | − | 0.889745i | \(-0.349118\pi\) |
−0.815728 | + | 0.578435i | \(0.803664\pi\) | |||||||
\(42\) | 5.53642 | + | 3.61449i | 0.854287 | + | 0.557728i | ||||
\(43\) | 1.31761 | − | 2.88517i | 0.200934 | − | 0.439984i | −0.782162 | − | 0.623075i | \(-0.785883\pi\) |
0.983096 | + | 0.183091i | \(0.0586103\pi\) | |||||||
\(44\) | −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 | \(0.766189\pi\) | |||||||
\(48\) | −1.14362 | + | 1.30082i | −0.165068 | + | 0.187757i | ||||
\(49\) | 3.14558 | − | 6.88786i | 0.449369 | − | 0.983980i | ||||
\(50\) | −1.02097 | − | 4.89465i | −0.144387 | − | 0.692208i | ||||
\(51\) | −0.0327102 | + | 4.55411i | −0.00458034 | + | 0.637703i | ||||
\(52\) | 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 | \(-0.462210\pi\) | |||||||
\(54\) | 4.30974 | + | 2.90278i | 0.586481 | + | 0.395019i | ||||
\(55\) | 1.15569 | − | 10.3333i | 0.155834 | − | 1.39334i | ||||
\(56\) | 3.21136 | + | 2.06381i | 0.429136 | + | 0.275789i | ||||
\(57\) | 4.79268 | + | 7.57666i | 0.634806 | + | 1.00355i | ||||
\(58\) | 2.65656 | + | 0.381955i | 0.348823 | + | 0.0501532i | ||||
\(59\) | 0.504216 | − | 0.784576i | 0.0656434 | − | 0.102143i | −0.806880 | − | 0.590715i | \(-0.798846\pi\) |
0.872524 | + | 0.488572i | \(0.162482\pi\) | |||||||
\(60\) | −3.20646 | + | 2.17224i | −0.413952 | + | 0.280435i | ||||
\(61\) | 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 | ||||
\(63\) | 4.90650 | − | 10.3477i | 0.618160 | − | 1.30369i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 2.28620 | − | 3.81587i | 0.283568 | − | 0.473300i | ||||
\(66\) | −7.74386 | + | 2.21351i | −0.953204 | + | 0.272465i | ||||
\(67\) | 0.387278 | + | 2.69357i | 0.0473135 | + | 0.329073i | 0.999707 | + | 0.0242014i | \(0.00770430\pi\) |
−0.952394 | + | 0.304871i | \(0.901387\pi\) | |||||||
\(68\) | 2.62938i | 0.318860i | ||||||||
\(69\) | 0.861716 | + | 8.26181i | 0.103738 | + | 0.994605i | ||||
\(70\) | 5.78969 | + | 6.27218i | 0.692000 | + | 0.749668i | ||||
\(71\) | 5.01334 | − | 0.720810i | 0.594974 | − | 0.0855444i | 0.161752 | − | 0.986831i | \(-0.448286\pi\) |
0.433222 | + | 0.901287i | \(0.357377\pi\) | |||||||
\(72\) | 2.50020 | + | 1.65801i | 0.294652 | + | 0.195398i | ||||
\(73\) | −2.00152 | − | 6.81656i | −0.234261 | − | 0.797818i | −0.989769 | − | 0.142679i | \(-0.954428\pi\) |
0.755508 | − | 0.655139i | \(-0.227390\pi\) | |||||||
\(74\) | −6.21744 | + | 7.17531i | −0.722763 | + | 0.834113i | ||||
\(75\) | −8.16086 | + | 2.89835i | −0.942335 | + | 0.334672i | ||||
\(76\) | 2.79840 | + | 4.35440i | 0.320999 | + | 0.499484i | ||||
\(77\) | 7.37387 | + | 16.1465i | 0.840330 | + | 1.84007i | ||||
\(78\) | −3.40697 | − | 0.514851i | −0.385764 | − | 0.0582954i | ||||
\(79\) | −4.40651 | + | 6.85667i | −0.495772 | + | 0.771436i | −0.995502 | − | 0.0947456i | \(-0.969796\pi\) |
0.499730 | + | 0.866181i | \(0.333433\pi\) | |||||||
\(80\) | −1.84219 | + | 1.26741i | −0.205964 | + | 0.141701i | ||||
\(81\) | 3.97236 | − | 8.07591i | 0.441374 | − | 0.897323i | ||||
\(82\) | −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 | \(0.408023\pi\) | |||||||
\(84\) | 2.78978 | − | 5.99446i | 0.304390 | − | 0.654049i | ||||
\(85\) | −1.47840 | + | 5.69057i | −0.160355 | + | 0.617229i | ||||
\(86\) | −3.04332 | − | 0.893599i | −0.328169 | − | 0.0963592i | ||||
\(87\) | 0.0333881 | − | 4.64849i | 0.00357958 | − | 0.498370i | ||||
\(88\) | −4.46163 | + | 1.31005i | −0.475611 | + | 0.139652i | ||||
\(89\) | 5.75374 | − | 12.5989i | 0.609895 | − | 1.33548i | −0.312750 | − | 0.949835i | \(-0.601250\pi\) |
0.922646 | − | 0.385649i | \(-0.126022\pi\) | |||||||
\(90\) | 4.47876 | + | 4.99407i | 0.472103 | + | 0.526421i | ||||
\(91\) | 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 | ||||
\(95\) | 3.60806 | + | 10.9973i | 0.370179 | + | 1.12830i | ||||
\(96\) | 1.45033 | + | 0.946859i | 0.148024 | + | 0.0966384i | ||||
\(97\) | −2.74356 | + | 3.16623i | −0.278566 | + | 0.321482i | −0.877741 | − | 0.479136i | \(-0.840950\pi\) |
0.599175 | + | 0.800618i | \(0.295496\pi\) | |||||||
\(98\) | −7.26541 | − | 2.13332i | −0.733918 | − | 0.215498i | ||||
\(99\) | 5.61215 | + | 12.7713i | 0.564042 | + | 1.28356i | ||||
\(100\) | −4.69953 | + | 1.70716i | −0.469953 | + | 0.170716i | ||||
\(101\) | 4.40055 | − | 3.81310i | 0.437872 | − | 0.379418i | −0.407844 | − | 0.913052i | \(-0.633719\pi\) |
0.845716 | + | 0.533634i | \(0.179174\pi\) | |||||||
\(102\) | 4.51241 | − | 0.615740i | 0.446795 | − | 0.0609673i | ||||
\(103\) | −1.95666 | + | 13.6089i | −0.192795 | + | 1.34092i | 0.631770 | + | 0.775156i | \(0.282329\pi\) |
−0.824566 | + | 0.565766i | \(0.808581\pi\) | |||||||
\(104\) | −1.96910 | − | 0.283114i | −0.193086 | − | 0.0277616i | ||||
\(105\) | 9.40817 | − | 11.4048i | 0.918143 | − | 1.11299i | ||||
\(106\) | −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 | \(-0.00102847\pi\) | |||||||
\(108\) | 2.25990 | − | 4.67898i | 0.217459 | − | 0.450235i | ||||
\(109\) | 2.27163 | − | 7.73645i | 0.217582 | − | 0.741017i | −0.776280 | − | 0.630389i | \(-0.782895\pi\) |
0.993862 | − | 0.110628i | \(-0.0352864\pi\) | |||||||
\(110\) | −10.3925 | + | 0.326644i | −0.990891 | + | 0.0311443i | ||||
\(111\) | 13.7699 | + | 8.98975i | 1.30698 | + | 0.853270i | ||||
\(112\) | 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 | ||||
\(115\) | −1.52904 | + | 10.6142i | −0.142584 | + | 0.989783i | ||||
\(116\) | − | 2.68387i | − | 0.249191i | ||||||
\(117\) | −0.0857274 | + | 5.96743i | −0.00792550 | + | 0.551689i | ||||
\(118\) | −0.848347 | − | 0.387427i | −0.0780967 | − | 0.0356656i | ||||
\(119\) | −2.82783 | − | 9.63069i | −0.259226 | − | 0.882844i | ||||
\(120\) | 2.60646 | + | 2.86468i | 0.237936 | + | 0.261508i | ||||
\(121\) | −10.1921 | − | 2.99266i | −0.926552 | − | 0.272060i | ||||
\(122\) | −6.57646 | − | 10.2332i | −0.595405 | − | 0.926468i | ||||
\(123\) | 4.77997 | + | 2.22457i | 0.430995 | + | 0.200582i | ||||
\(124\) | 3.16442 | + | 3.65194i | 0.284174 | + | 0.327954i | ||||
\(125\) | −11.1307 | + | 1.05231i | −0.995561 | + | 0.0941213i | ||||
\(126\) | −10.9407 | − | 3.38392i | −0.974673 | − | 0.301463i | ||||
\(127\) | 14.3954 | + | 2.06975i | 1.27739 | + | 0.183661i | 0.747417 | − | 0.664355i | \(-0.231294\pi\) |
0.529971 | + | 0.848016i | \(0.322203\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | −0.820873 | + | 5.43204i | −0.0722739 | + | 0.478264i | ||||
\(130\) | −4.10239 | − | 1.71987i | −0.359803 | − | 0.150843i | ||||
\(131\) | −2.29103 | − | 3.56492i | −0.200169 | − | 0.311468i | 0.726629 | − | 0.687030i | \(-0.241086\pi\) |
−0.926797 | + | 0.375562i | \(0.877450\pi\) | |||||||
\(132\) | 3.29305 | + | 7.35003i | 0.286623 | + | 0.639738i | ||||
\(133\) | −14.9328 | − | 12.9393i | −1.29484 | − | 1.12198i | ||||
\(134\) | 2.61104 | − | 0.766671i | 0.225560 | − | 0.0662303i | ||||
\(135\) | 7.52173 | − | 8.85571i | 0.647367 | − | 0.762178i | ||||
\(136\) | 2.60262 | − | 0.374200i | 0.223173 | − | 0.0320874i | ||||
\(137\) | 2.11258i | 0.180490i | 0.995920 | + | 0.0902448i | \(0.0287649\pi\) | ||||
−0.995920 | + | 0.0902448i | \(0.971235\pi\) | |||||||
\(138\) | 8.05508 | − | 2.02872i | 0.685694 | − | 0.172696i | ||||
\(139\) | −3.98807 | −0.338264 | −0.169132 | − | 0.985593i | \(-0.554096\pi\) | ||||
−0.169132 | + | 0.985593i | \(0.554096\pi\) | |||||||
\(140\) | 5.38437 | − | 6.62338i | 0.455063 | − | 0.559778i | ||||
\(141\) | 16.9461 | − | 4.84390i | 1.42712 | − | 0.407930i | ||||
\(142\) | −1.42695 | − | 4.85973i | −0.119747 | − | 0.407820i | ||||
\(143\) | −6.99102 | − | 6.05775i | −0.584618 | − | 0.506575i | ||||
\(144\) | 1.28532 | − | 2.71071i | 0.107110 | − | 0.225893i | ||||
\(145\) | 1.50904 | − | 5.80850i | 0.125319 | − | 0.482370i | ||||
\(146\) | −6.46233 | + | 2.95125i | −0.534826 | + | 0.244247i | ||||
\(147\) | −1.95970 | + | 12.9681i | −0.161633 | + | 1.06959i | ||||
\(148\) | 7.98711 | + | 5.13300i | 0.656536 | + | 0.421930i | ||||
\(149\) | 1.54016 | − | 10.7120i | 0.126175 | − | 0.877564i | −0.824165 | − | 0.566349i | \(-0.808355\pi\) |
0.950340 | − | 0.311214i | \(-0.100736\pi\) | |||||||
\(150\) | 4.03026 | + | 7.66531i | 0.329069 | + | 0.625870i | ||||
\(151\) | 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 | ||||
\(153\) | −2.11340 | − | 7.59977i | −0.170858 | − | 0.614405i | ||||
\(154\) | 14.9328 | − | 9.59670i | 1.20332 | − | 0.773324i | ||||
\(155\) | 4.79518 | + | 9.68285i | 0.385158 | + | 0.777745i | ||||
\(156\) | −0.0247480 | + | 3.44557i | −0.00198143 | + | 0.275866i | ||||
\(157\) | −12.8459 | + | 3.77191i | −1.02522 | + | 0.301031i | −0.750765 | − | 0.660570i | \(-0.770315\pi\) |
−0.274453 | + | 0.961601i | \(0.588497\pi\) | |||||||
\(158\) | 7.41399 | + | 3.38586i | 0.589826 | + | 0.269364i | ||||
\(159\) | 14.6085 | + | 12.8432i | 1.15853 | + | 1.01853i | ||||
\(160\) | 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 | −0.841051 | − | 0.540956i | \(-0.818063\pi\) |
−0.654578 | + | 0.755995i | \(0.727154\pi\) | |||||||
\(164\) | 2.76887 | + | 1.26450i | 0.216212 | + | 0.0987409i | ||||
\(165\) | 2.99426 | + | 17.7587i | 0.233103 | + | 1.38251i | ||||
\(166\) | 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 | \(0.779901\pi\) | |||||||
\(168\) | −6.33047 | − | 1.90829i | −0.488406 | − | 0.147228i | ||||
\(169\) | 3.75639 | + | 8.22534i | 0.288953 | + | 0.632718i | ||||
\(170\) | 5.84305 | + | 0.653500i | 0.448141 | + | 0.0501212i | ||||
\(171\) | −11.5882 | − | 10.3364i | −0.886171 | − | 0.790442i | ||||
\(172\) | −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 | \(-0.0657498\pi\) | |||||||
\(174\) | −4.60592 | + | 0.628500i | −0.349174 | + | 0.0476465i | ||||
\(175\) | 15.3771 | − | 11.3071i | 1.16240 | − | 0.854733i | ||||
\(176\) | 1.93167 | + | 4.22977i | 0.145605 | + | 0.318831i | ||||
\(177\) | −0.466219 | + | 1.54662i | −0.0350432 | + | 0.116251i | ||||
\(178\) | −13.2895 | − | 3.90216i | −0.996093 | − | 0.292479i | ||||
\(179\) | −0.181083 | − | 0.156909i | −0.0135348 | − | 0.0117279i | 0.648067 | − | 0.761583i | \(-0.275578\pi\) |
−0.661602 | + | 0.749855i | \(0.730123\pi\) | |||||||
\(180\) | 4.30584 | − | 5.14390i | 0.320938 | − | 0.383404i | ||||
\(181\) | 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 | ||||
\(186\) | 5.52623 | − | 6.28582i | 0.405203 | − | 0.460898i | ||||
\(187\) | 11.1217 | + | 5.07911i | 0.813299 | + | 0.371421i | ||||
\(188\) | 9.76352 | − | 2.86683i | 0.712078 | − | 0.209085i | ||||
\(189\) | −3.24525 | + | 19.5682i | −0.236057 | + | 1.42338i | ||||
\(190\) | 10.3719 | − | 5.13641i | 0.752457 | − | 0.372635i | ||||
\(191\) | −18.1973 | + | 11.6947i | −1.31671 | + | 0.846200i | −0.994926 | − | 0.100613i | \(-0.967920\pi\) |
−0.321786 | + | 0.946812i | \(0.604283\pi\) | |||||||
\(192\) | 0.730817 | − | 1.57032i | 0.0527422 | − | 0.113328i | ||||
\(193\) | 2.66028 | − | 2.30515i | 0.191491 | − | 0.165928i | −0.553838 | − | 0.832624i | \(-0.686837\pi\) |
0.745330 | + | 0.666696i | \(0.232292\pi\) | |||||||
\(194\) | 3.52446 | + | 2.26503i | 0.253041 | + | 0.162620i | ||||
\(195\) | −1.99087 | + | 7.44306i | −0.142569 | + | 0.533008i | ||||
\(196\) | −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 | \(0.951465\pi\) | |||||||
\(198\) | 11.8426 | − | 7.37256i | 0.841615 | − | 0.523945i | ||||
\(199\) | −25.1274 | + | 11.4753i | −1.78123 | + | 0.813462i | −0.806120 | + | 0.591752i | \(0.798437\pi\) |
−0.975113 | + | 0.221710i | \(0.928836\pi\) | |||||||
\(200\) | 2.35860 | + | 4.40874i | 0.166778 | + | 0.311745i | ||||
\(201\) | −1.92717 | − | 4.30140i | −0.135932 | − | 0.303397i | ||||
\(202\) | −4.40055 | − | 3.81310i | −0.309622 | − | 0.268289i | ||||
\(203\) | 2.88643 | + | 9.83027i | 0.202588 | + | 0.689950i | ||||
\(204\) | −1.25166 | − | 4.37885i | −0.0876334 | − | 0.306581i | ||||
\(205\) | 5.28147 | + | 4.29349i | 0.368874 | + | 0.299870i | ||||
\(206\) | 13.7488 | 0.957925 | ||||||||
\(207\) | −5.36790 | − | 13.3486i | −0.373095 | − | 0.927793i | ||||
\(208\) | 1.98935i | 0.137937i | ||||||||
\(209\) | 23.8237 | − | 3.42533i | 1.64792 | − | 0.236935i | ||||
\(210\) | −12.6276 | − | 7.68934i | −0.871387 | − | 0.530615i | ||||
\(211\) | 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 | ||||
\(213\) | −8.00586 | + | 3.58688i | −0.548552 | + | 0.245769i | ||||
\(214\) | −10.1891 | − | 15.8545i | −0.696510 | − | 1.08379i | ||||
\(215\) | −2.74214 | + | 6.54081i | −0.187013 | + | 0.446079i | ||||
\(216\) | −4.95297 | − | 1.57101i | −0.337007 | − | 0.106893i | ||||
\(217\) | −15.5179 | − | 9.97278i | −1.05343 | − | 0.676996i | ||||
\(218\) | −7.98099 | − | 1.14749i | −0.540541 | − | 0.0777180i | ||||
\(219\) | 6.57810 | + | 10.3992i | 0.444507 | + | 0.702713i | ||||
\(220\) | 1.80233 | + | 10.2403i | 0.121513 | + | 0.690400i | ||||
\(221\) | 3.42542 | + | 3.95315i | 0.230419 | + | 0.265917i | ||||
\(222\) | 6.93859 | − | 14.9091i | 0.465688 | − | 1.00063i | ||||
\(223\) | −1.67546 | − | 2.60706i | −0.112197 | − | 0.174582i | 0.780614 | − | 0.625013i | \(-0.214907\pi\) |
−0.892811 | + | 0.450432i | \(0.851270\pi\) | |||||||
\(224\) | −3.66272 | − | 1.07547i | −0.244726 | − | 0.0718579i | ||||
\(225\) | 12.2110 | − | 8.71155i | 0.814068 | − | 0.580770i | ||||
\(226\) | −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 | \(0.538242\pi\) | |||||||
\(228\) | −6.73313 | − | 5.91950i | −0.445913 | − | 0.392028i | ||||
\(229\) | − | 19.9220i | − | 1.31648i | −0.752807 | − | 0.658242i | \(-0.771301\pi\) | ||
0.752807 | − | 0.658242i | \(-0.228699\pi\) | |||||||
\(230\) | 10.7238 | + | 0.00291238i | 0.707107 | + | 0.000192037i | ||||
\(231\) | −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 | \(0.186424\pi\) | |||||||
\(234\) | 5.91889 | − | 0.764399i | 0.386930 | − | 0.0499704i | ||||
\(235\) | 22.7423 | − | 0.714806i | 1.48355 | − | 0.0466288i | ||||
\(236\) | −0.262751 | + | 0.894849i | −0.0171037 | + | 0.0582497i | ||||
\(237\) | 4.07445 | − | 13.5164i | 0.264664 | − | 0.877984i | ||||
\(238\) | −9.13022 | + | 4.16963i | −0.591824 | + | 0.270277i | ||||
\(239\) | −11.0521 | + | 9.57674i | −0.714904 | + | 0.619468i | −0.934433 | − | 0.356138i | \(-0.884093\pi\) |
0.219530 | + | 0.975606i | \(0.429548\pi\) | |||||||
\(240\) | 2.46458 | − | 2.98761i | 0.159088 | − | 0.192850i | ||||
\(241\) | −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 | ||||
\(243\) | −2.77104 | + | 15.3402i | −0.177762 | + | 0.984073i | ||||
\(244\) | −9.19308 | + | 7.96585i | −0.588527 | + | 0.509961i | ||||
\(245\) | −6.54641 | + | 15.6151i | −0.418235 | + | 0.997611i | ||||
\(246\) | 1.52166 | − | 5.04790i | 0.0970178 | − | 0.321843i | ||||
\(247\) | 9.87994 | + | 2.90101i | 0.628645 | + | 0.184587i | ||||
\(248\) | 3.16442 | − | 3.65194i | 0.200941 | − | 0.231898i | ||||
\(249\) | 7.11430 | − | 10.8972i | 0.450851 | − | 0.690581i | ||||
\(250\) | 2.62566 | + | 10.8677i | 0.166061 | + | 0.687331i | ||||
\(251\) | −2.79468 | − | 19.4374i | −0.176398 | − | 1.22688i | −0.865013 | − | 0.501750i | \(-0.832690\pi\) |
0.688614 | − | 0.725128i | \(-0.258219\pi\) | |||||||
\(252\) | −1.79245 | + | 11.3109i | −0.112914 | + | 0.712519i | ||||
\(253\) | 21.1874 | + | 6.95764i | 1.33204 | + | 0.437423i | ||||
\(254\) | − | 14.5435i | − | 0.912538i | ||||||
\(255\) | −0.246803 | − | 10.1806i | −0.0154554 | − | 0.637532i | ||||
\(256\) | 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 | \(0.183033\pi\) | |||||||
\(258\) | 5.49357 | + | 0.0394579i | 0.342015 | + | 0.00245654i | ||||
\(259\) | −34.7749 | − | 10.2108i | −2.16081 | − | 0.634470i | ||||
\(260\) | −1.11853 | + | 4.30540i | −0.0693686 | + | 0.267009i | ||||
\(261\) | 2.15720 | + | 7.75726i | 0.133527 | + | 0.480162i | ||||
\(262\) | −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 | \(0.170642\pi\) | |||||||
\(264\) | 6.80656 | − | 4.30555i | 0.418915 | − | 0.264988i | ||||
\(265\) | 14.2333 | + | 20.6883i | 0.874346 | + | 1.27087i | ||||
\(266\) | −10.6825 | + | 16.6223i | −0.654984 | + | 1.01918i | ||||
\(267\) | −3.58458 | + | 23.7206i | −0.219373 | + | 1.45168i | ||||
\(268\) | −1.13046 | − | 2.47536i | −0.0690537 | − | 0.151207i | ||||
\(269\) | 4.87737 | + | 7.58933i | 0.297378 | + | 0.462730i | 0.957502 | − | 0.288427i | \(-0.0931324\pi\) |
−0.660123 | + | 0.751157i | \(0.729496\pi\) | |||||||
\(270\) | −9.83602 | − | 6.18487i | −0.598601 | − | 0.376399i | ||||
\(271\) | 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 | ||||
\(273\) | −3.61496 | − | 12.6468i | −0.218787 | − | 0.765416i | ||||
\(274\) | 2.09107 | − | 0.300651i | 0.126326 | − | 0.0181630i | ||||
\(275\) | −1.85706 | + | 23.1756i | −0.111985 | + | 1.39754i | ||||
\(276\) | −3.15443 | − | 7.68437i | −0.189874 | − | 0.462545i | ||||
\(277\) | 8.18154i | 0.491581i | 0.969323 | + | 0.245791i | \(0.0790476\pi\) | ||||
−0.969323 | + | 0.245791i | \(0.920952\pi\) | |||||||
\(278\) | 0.567562 | + | 3.94748i | 0.0340401 | + | 0.236754i | ||||
\(279\) | −12.0815 | − | 8.01184i | −0.723301 | − | 0.479656i | ||||
\(280\) | −7.32224 | − | 4.38696i | −0.437588 | − | 0.262171i | ||||
\(281\) | 13.9631 | − | 16.1143i | 0.832968 | − | 0.961297i | −0.166727 | − | 0.986003i | \(-0.553320\pi\) |
0.999695 | + | 0.0247066i | \(0.00786517\pi\) | |||||||
\(282\) | −7.20629 | − | 16.0843i | −0.429128 | − | 0.957806i | ||||
\(283\) | −9.70757 | + | 6.23868i | −0.577055 | + | 0.370851i | −0.796376 | − | 0.604802i | \(-0.793252\pi\) |
0.219321 | + | 0.975653i | \(0.429616\pi\) | |||||||
\(284\) | −4.60719 | + | 2.10403i | −0.273386 | + | 0.124851i | ||||
\(285\) | −11.2437 | − | 16.5969i | −0.666019 | − | 0.983115i | ||||
\(286\) | −5.00117 | + | 7.78197i | −0.295725 | + | 0.460157i | ||||
\(287\) | −11.5015 | − | 1.65367i | −0.678913 | − | 0.0976130i | ||||
\(288\) | −2.86604 | − | 0.886458i | −0.168883 | − | 0.0522350i | ||||
\(289\) | 8.48517 | + | 5.45309i | 0.499128 | + | 0.320770i | ||||
\(290\) | −5.96414 | − | 0.667043i | −0.350226 | − | 0.0391701i | ||||
\(291\) | 3.06178 | − | 6.57890i | 0.179485 | − | 0.385662i | ||||
\(292\) | 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 | \(-0.262896\pi\) | |||||||
\(294\) | 13.1150 | + | 0.0941993i | 0.764882 | + | 0.00549381i | ||||
\(295\) | −1.07179 | + | 1.78892i | −0.0624021 | + | 0.104155i | ||||
\(296\) | 3.94407 | − | 8.63631i | 0.229244 | − | 0.501975i | ||||
\(297\) | −15.4257 | − | 18.5971i | −0.895087 | − | 1.07911i | ||||
\(298\) | −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 | ||||
\(303\) | −5.51334 | + | 8.44494i | −0.316733 | + | 0.485149i | ||||
\(304\) | −3.91182 | − | 3.38961i | −0.224358 | − | 0.194408i | ||||
\(305\) | −24.3748 | + | 12.0710i | −1.39570 | + | 0.691182i | ||||
\(306\) | −7.22164 | + | 3.17345i | −0.412834 | + | 0.181414i | ||||
\(307\) | 25.9954 | − | 11.8717i | 1.48363 | − | 0.677553i | 0.501400 | − | 0.865215i | \(-0.332818\pi\) |
0.982234 | + | 0.187663i | \(0.0600911\pi\) | |||||||
\(308\) | −11.6242 | − | 13.4150i | −0.662349 | − | 0.764391i | ||||
\(309\) | −3.21965 | − | 23.5950i | −0.183159 | − | 1.34227i | ||||
\(310\) | 8.90186 | − | 6.12438i | 0.505592 | − | 0.347841i | ||||
\(311\) | −16.8300 | − | 2.41978i | −0.954340 | − | 0.137213i | −0.352484 | − | 0.935818i | \(-0.614663\pi\) |
−0.601856 | + | 0.798605i | \(0.705572\pi\) | |||||||
\(312\) | 3.41402 | − | 0.465859i | 0.193281 | − | 0.0263741i | ||||
\(313\) | −0.958412 | − | 1.10607i | −0.0541727 | − | 0.0625186i | 0.728016 | − | 0.685560i | \(-0.240442\pi\) |
−0.782189 | + | 0.623041i | \(0.785897\pi\) | |||||||
\(314\) | 5.56168 | + | 12.1784i | 0.313864 | + | 0.687266i | ||||
\(315\) | −10.2390 | + | 23.4715i | −0.576900 | + | 1.32247i | ||||
\(316\) | 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 | \(0.253213\pi\) | |||||||
\(318\) | 10.6335 | − | 16.2876i | 0.596295 | − | 0.913363i | ||||
\(319\) | −11.3522 | − | 5.18437i | −0.635600 | − | 0.290269i | ||||
\(320\) | 1.41050 | − | 1.73507i | 0.0788494 | − | 0.0969936i | ||||
\(321\) | −24.8226 | + | 21.1987i | −1.38546 | + | 1.18320i | ||||
\(322\) | −15.7070 | + | 9.40472i | −0.875318 | + | 0.524105i | ||||
\(323\) | −13.6099 | −0.757276 | ||||||||
\(324\) | −1.53621 | + | 8.86792i | −0.0853448 | + | 0.492662i | ||||
\(325\) | −4.84152 | + | 8.68893i | −0.268559 | + | 0.481975i | ||||
\(326\) | 5.43498 | + | 18.5098i | 0.301016 | + | 1.02517i | ||||
\(327\) | −0.100306 | + | 13.9653i | −0.00554696 | + | 0.772281i | ||||
\(328\) | 0.857578 | − | 2.92064i | 0.0473518 | − | 0.161266i | ||||
\(329\) | −32.6778 | + | 21.0008i | −1.80159 | + | 1.15781i | ||||
\(330\) | 17.1518 | − | 5.49110i | 0.944174 | − | 0.302275i | ||||
\(331\) | 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 | ||||
\(333\) | −27.2110 | − | 8.41629i | −1.49116 | − | 0.461210i | ||||
\(334\) | −2.05782 | + | 14.3125i | −0.112599 | + | 0.783143i | ||||
\(335\) | −1.05477 | − | 5.99284i | −0.0576280 | − | 0.327424i | ||||
\(336\) | −0.987944 | + | 6.53761i | −0.0538968 | + | 0.356656i | ||||
\(337\) | 9.64730 | + | 21.1246i | 0.525522 | + | 1.15073i | 0.967306 | + | 0.253611i | \(0.0816182\pi\) |
−0.441785 | + | 0.897121i | \(0.645654\pi\) | |||||||
\(338\) | 7.60703 | − | 4.88874i | 0.413768 | − | 0.265912i | ||||
\(339\) | −12.2563 | + | 5.49124i | −0.665673 | + | 0.298243i | ||||
\(340\) | −0.184705 | − | 5.87658i | −0.0100170 | − | 0.318702i | ||||
\(341\) | 21.5595 | − | 6.33044i | 1.16751 | − | 0.342813i | ||||
\(342\) | −8.58199 | + | 12.9413i | −0.464061 | + | 0.699783i | ||||
\(343\) | −0.310823 | − | 2.16182i | −0.0167829 | − | 0.116727i | ||||
\(344\) | 3.17180 | 0.171012 | ||||||||
\(345\) | −2.50627 | − | 18.4043i | −0.134933 | − | 0.990855i | ||||
\(346\) | −9.00438 | −0.484079 | ||||||||
\(347\) | 3.51504 | + | 24.4477i | 0.188697 | + | 1.31242i | 0.835385 | + | 0.549665i | \(0.185245\pi\) |
−0.646688 | + | 0.762755i | \(0.723846\pi\) | |||||||
\(348\) | 1.27759 | + | 4.46960i | 0.0684862 | + | 0.239595i | ||||
\(349\) | −31.6929 | + | 9.30588i | −1.69648 | + | 0.498133i | −0.979920 | − | 0.199389i | \(-0.936104\pi\) |
−0.716563 | + | 0.697522i | \(0.754286\pi\) | |||||||
\(350\) | −13.3803 | − | 13.6114i | −0.715210 | − | 0.727559i | ||||
\(351\) | −2.69789 | − | 9.97869i | −0.144003 | − | 0.532623i | ||||
\(352\) | 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 | \(0.813618\pi\) | |||||||
\(354\) | 1.59722 | + | 0.241367i | 0.0848915 | + | 0.0128285i | ||||
\(355\) | −11.1540 | + | 1.96315i | −0.591993 | + | 0.104193i | ||||
\(356\) | −1.97114 | + | 13.7096i | −0.104470 | + | 0.726607i | ||||
\(357\) | 9.29379 | + | 14.6924i | 0.491879 | + | 0.777603i | ||||
\(358\) | −0.129541 | + | 0.201570i | −0.00684647 | + | 0.0106533i | ||||
\(359\) | 17.1519 | + | 19.7944i | 0.905244 | + | 1.04471i | 0.998794 | + | 0.0490931i | \(0.0156331\pi\) |
−0.0935499 | + | 0.995615i | \(0.529821\pi\) | |||||||
\(360\) | −5.70433 | − | 3.52996i | −0.300645 | − | 0.186045i | ||||
\(361\) | −6.55492 | + | 4.21259i | −0.344996 | + | 0.221715i | ||||
\(362\) | 4.52481 | − | 15.4101i | 0.237819 | − | 0.809937i | ||||
\(363\) | 18.3980 | + | 0.132145i | 0.965643 | + | 0.00693580i | ||||
\(364\) | −2.13949 | − | 7.28643i | −0.112140 | − | 0.381912i | ||||
\(365\) | 4.95217 | + | 15.0942i | 0.259208 | + | 0.790065i | ||||
\(366\) | 15.8234 | + | 13.9113i | 0.827101 | + | 0.727154i | ||||
\(367\) | 9.03990 | 0.471879 | 0.235939 | − | 0.971768i | \(-0.424183\pi\) | ||||
0.235939 | + | 0.971768i | \(0.424183\pi\) | |||||||
\(368\) | −1.85303 | − | 4.42338i | −0.0965958 | − | 0.230585i | ||||
\(369\) | −9.01928 | − | 1.42930i | −0.469525 | − | 0.0744063i | ||||
\(370\) | 13.3917 | − | 16.4733i | 0.696202 | − | 0.856406i | ||||
\(371\) | −38.9958 | − | 17.8088i | −2.02456 | − | 0.924585i | ||||
\(372\) | −7.00830 | − | 4.57542i | −0.363363 | − | 0.237224i | ||||
\(373\) | 21.4375 | − | 24.7402i | 1.10999 | − | 1.28100i | 0.153848 | − | 0.988094i | \(-0.450833\pi\) |
0.956142 | − | 0.292903i | \(-0.0946213\pi\) | |||||||
\(374\) | 3.44463 | − | 11.7313i | 0.178118 | − | 0.606613i | ||||
\(375\) | 18.0356 | − | 7.05097i | 0.931356 | − | 0.364111i | ||||
\(376\) | −4.22714 | − | 9.25615i | −0.217998 | − | 0.477349i | ||||
\(377\) | −3.49641 | − | 4.03507i | −0.180074 | − | 0.207817i | ||||
\(378\) | 19.8309 | + | 0.427369i | 1.01999 | + | 0.0219815i | ||||
\(379\) | −17.0802 | − | 2.45576i | −0.877350 | − | 0.126144i | −0.311100 | − | 0.950377i | \(-0.600697\pi\) |
−0.566250 | + | 0.824233i | \(0.691607\pi\) | |||||||
\(380\) | −6.56021 | − | 9.53535i | −0.336532 | − | 0.489153i | ||||
\(381\) | −24.9587 | + | 3.40574i | −1.27867 | + | 0.174481i | ||||
\(382\) | 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 | \(0.279514\pi\) | |||||||
\(384\) | −1.65834 | − | 0.499899i | −0.0846270 | − | 0.0255104i | ||||
\(385\) | −17.6146 | − | 35.5689i | −0.897721 | − | 1.81276i | ||||
\(386\) | −2.66028 | − | 2.30515i | −0.135405 | − | 0.117329i | ||||
\(387\) | −1.21875 | − | 9.43702i | −0.0619526 | − | 0.479711i | ||||
\(388\) | 1.74039 | − | 3.81093i | 0.0883551 | − | 0.193471i | ||||
\(389\) | 2.52209 | + | 17.5415i | 0.127875 | + | 0.889389i | 0.948241 | + | 0.317551i | \(0.102860\pi\) |
−0.820366 | + | 0.571838i | \(0.806230\pi\) | |||||||
\(390\) | 7.65063 | + | 0.911347i | 0.387405 | + | 0.0461478i | ||||
\(391\) | −11.2988 | − | 5.59925i | −0.571404 | − | 0.283166i | ||||
\(392\) | 7.57214 | 0.382451 | ||||||||
\(393\) | 5.51237 | + | 4.84625i | 0.278062 | + | 0.244461i | ||||
\(394\) | −8.73868 | + | 19.1350i | −0.440248 | + | 0.964009i | ||||
\(395\) | 9.36675 | − | 15.6340i | 0.471292 | − | 0.786630i | ||||
\(396\) | −8.98289 | − | 10.6728i | −0.451407 | − | 0.536329i | ||||
\(397\) | −4.78779 | + | 16.3057i | −0.240292 | + | 0.818360i | 0.747724 | + | 0.664010i | \(0.231147\pi\) |
−0.988016 | + | 0.154351i | \(0.950671\pi\) | |||||||
\(398\) | 14.9345 | + | 23.2385i | 0.748598 | + | 1.16484i | ||||
\(399\) | 31.0278 | + | 14.4402i | 1.55333 | + | 0.722912i | ||||
\(400\) | 4.02821 | − | 2.96202i | 0.201410 | − | 0.148101i | ||||
\(401\) | 4.70729 | + | 3.02519i | 0.235071 | + | 0.151071i | 0.652874 | − | 0.757467i | \(-0.273563\pi\) |
−0.417803 | + | 0.908538i | \(0.637200\pi\) | |||||||
\(402\) | −3.98335 | + | 2.51970i | −0.198671 | + | 0.125671i | ||||
\(403\) | 9.51511 | + | 1.36807i | 0.473981 | + | 0.0681482i | ||||
\(404\) | −3.14803 | + | 4.89842i | −0.156620 | + | 0.243706i | ||||
\(405\) | −8.31078 | + | 18.3284i | −0.412966 | + | 0.910746i | ||||
\(406\) | 9.31943 | − | 4.25604i | 0.462516 | − | 0.211224i | ||||
\(407\) | 37.1399 | − | 23.8684i | 1.84096 | − | 1.18311i | ||||
\(408\) | −4.15615 | + | 1.86209i | −0.205760 | + | 0.0921872i | ||||
\(409\) | 18.2942 | − | 21.1126i | 0.904589 | − | 1.04395i | −0.0942387 | − | 0.995550i | \(-0.530042\pi\) |
0.998828 | − | 0.0484020i | \(-0.0154128\pi\) | |||||||
\(410\) | 3.49816 | − | 5.83874i | 0.172762 | − | 0.288355i | ||||
\(411\) | −1.00564 | − | 3.51818i | −0.0496046 | − | 0.173539i | ||||
\(412\) | −1.95666 | − | 13.6089i | −0.0963977 | − | 0.670461i | ||||
\(413\) | − | 3.56016i | − | 0.175184i | ||||||
\(414\) | −12.4488 | + | 7.21297i | −0.611826 | + | 0.354498i | ||||
\(415\) | 12.3454 | − | 11.3957i | 0.606010 | − | 0.559393i | ||||
\(416\) | 1.96910 | − | 0.283114i | 0.0965431 | − | 0.0138808i | ||||
\(417\) | 6.64155 | − | 1.89843i | 0.325238 | − | 0.0929664i | ||||
\(418\) | −6.78094 | − | 23.0938i | −0.331667 | − | 1.12955i | ||||
\(419\) | −20.8480 | + | 24.0599i | −1.01849 | + | 1.17540i | −0.0340999 | + | 0.999418i | \(0.510856\pi\) |
−0.984393 | + | 0.175985i | \(0.943689\pi\) | |||||||
\(420\) | −5.81398 | + | 13.5934i | −0.283693 | + | 0.663289i | ||||
\(421\) | 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 | ||||
\(423\) | −25.9155 | + | 16.1336i | −1.26005 | + | 0.784443i | ||||
\(424\) | 6.07154 | − | 9.44750i | 0.294860 | − | 0.458811i | ||||
\(425\) | 2.90443 | − | 12.8221i | 0.140886 | − | 0.621962i | ||||
\(426\) | 4.68973 | + | 7.41390i | 0.227218 | + | 0.359205i | ||||
\(427\) | 25.1046 | − | 39.0636i | 1.21490 | − | 1.89042i | ||||
\(428\) | −14.2431 | + | 12.3417i | −0.688465 | + | 0.596558i | ||||
\(429\) | 14.5262 | + | 6.76038i | 0.701330 | + | 0.326394i | ||||
\(430\) | 6.86448 | + | 1.78338i | 0.331034 | + | 0.0860022i | ||||
\(431\) | 24.6425 | + | 7.23570i | 1.18699 | + | 0.348532i | 0.814865 | − | 0.579651i | \(-0.196811\pi\) |
0.372125 | + | 0.928183i | \(0.378629\pi\) | |||||||
\(432\) | −0.850133 | + | 5.12614i | −0.0409020 | + | 0.246631i | ||||
\(433\) | −28.4735 | + | 8.36057i | −1.36835 | + | 0.401783i | −0.881698 | − | 0.471814i | \(-0.843600\pi\) |
−0.486650 | + | 0.873597i | \(0.661781\pi\) | |||||||
\(434\) | −7.66284 | + | 16.7793i | −0.367828 | + | 0.805431i | ||||
\(435\) | 0.251918 | + | 10.3915i | 0.0120785 | + | 0.498236i | ||||
\(436\) | 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 | \(-0.248081\pi\) | |||||||
\(440\) | 9.87955 | − | 3.24133i | 0.470989 | − | 0.154524i | ||||
\(441\) | −2.90956 | − | 22.5293i | −0.138551 | − | 1.07282i | ||||
\(442\) | 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 | \(0.602729\pi\) | |||||||
\(444\) | −15.7448 | − | 4.74619i | −0.747215 | − | 0.225244i | ||||
\(445\) | −11.9744 | + | 28.5623i | −0.567640 | + | 1.35398i | ||||
\(446\) | −2.34209 | + | 2.02943i | −0.110901 | + | 0.0960962i | ||||
\(447\) | 2.53430 | + | 18.5725i | 0.119868 | + | 0.878447i | ||||
\(448\) | −0.543265 | + | 3.77849i | −0.0256669 | + | 0.178517i | ||||
\(449\) | −29.9695 | − | 4.30896i | −1.41435 | − | 0.203353i | −0.607598 | − | 0.794245i | \(-0.707867\pi\) |
−0.806750 | + | 0.590893i | \(0.798776\pi\) | |||||||
\(450\) | −10.3607 | − | 10.8469i | −0.488408 | − | 0.511330i | ||||
\(451\) | 10.6971 | − | 9.26909i | 0.503707 | − | 0.436464i | ||||
\(452\) | −7.05325 | + | 3.22111i | −0.331757 | + | 0.151508i | ||||
\(453\) | −14.8393 | − | 4.47323i | −0.697212 | − | 0.210171i | ||||
\(454\) | 2.57570 | − | 8.77203i | 0.120884 | − | 0.411692i | ||||
\(455\) | −0.533453 | − | 16.9724i | −0.0250087 | − | 0.795679i | ||||
\(456\) | −4.90102 | + | 7.50703i | −0.229511 | + | 0.351549i | ||||
\(457\) | −14.3451 | + | 31.4114i | −0.671035 | + | 1.46936i | 0.200834 | + | 0.979625i | \(0.435635\pi\) |
−0.871870 | + | 0.489737i | \(0.837093\pi\) | |||||||
\(458\) | −19.7192 | + | 2.83520i | −0.921419 | + | 0.132480i | ||||
\(459\) | 7.13725 | + | 11.6503i | 0.333138 | + | 0.543787i | ||||
\(460\) | −1.52327 | − | 10.6151i | −0.0710230 | − | 0.494930i | ||||
\(461\) | 1.00394i | 0.0467583i | 0.999727 | + | 0.0233792i | \(0.00744250\pi\) | ||||
−0.999727 | + | 0.0233792i | \(0.992558\pi\) | |||||||
\(462\) | −20.3000 | + | 23.0903i | −0.944443 | + | 1.07426i | ||||
\(463\) | −2.06758 | − | 0.944230i | −0.0960884 | − | 0.0438821i | 0.366791 | − | 0.930303i | \(-0.380456\pi\) |
−0.462879 | + | 0.886421i | \(0.653184\pi\) | |||||||
\(464\) | 0.756135 | + | 2.57516i | 0.0351027 | + | 0.119549i | ||||
\(465\) | −12.5949 | − | 13.8427i | −0.584077 | − | 0.641941i | ||||
\(466\) | 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 | \(0.903640\pi\) | |||||||
\(468\) | −1.59897 | − | 5.74986i | −0.0739122 | − | 0.265787i | ||||
\(469\) | 6.80272 | + | 7.85076i | 0.314121 | + | 0.362514i | ||||
\(470\) | −3.94410 | − | 22.4091i | −0.181928 | − | 1.03366i | ||||
\(471\) | 19.5975 | − | 12.3966i | 0.903005 | − | 0.571203i | ||||
\(472\) | 0.923134 | + | 0.132727i | 0.0424907 | + | 0.00610924i | ||||
\(473\) | 12.4075 | + | 7.97381i | 0.570497 | + | 0.366636i | ||||
\(474\) | −13.9587 | − | 2.10939i | −0.641143 | − | 0.0968875i | ||||
\(475\) | −8.83640 | − | 24.3252i | −0.405442 | − | 1.11612i | ||||
\(476\) | 5.42656 | + | 8.44389i | 0.248726 | + | 0.387025i | ||||
\(477\) | −30.4420 | − | 14.4344i | −1.39384 | − | 0.660907i | ||||
\(478\) | 11.0521 | + | 9.57674i | 0.505513 | + | 0.438030i | ||||
\(479\) | 7.78506 | − | 2.28590i | 0.355708 | − | 0.104445i | −0.0989960 | − | 0.995088i | \(-0.531563\pi\) |
0.454704 | + | 0.890642i | \(0.349745\pi\) | |||||||
\(480\) | −3.30795 | − | 2.01431i | −0.150987 | − | 0.0919405i | ||||
\(481\) | 18.6952 | − | 2.68797i | 0.852429 | − | 0.122561i | ||||
\(482\) | 4.94358i | 0.225174i | ||||||||
\(483\) | 19.8181 | + | 24.7532i | 0.901755 | + | 1.12631i | ||||
\(484\) | 10.6224 | 0.482834 | ||||||||
\(485\) | 5.90934 | − | 7.26915i | 0.268329 | − | 0.330075i | ||||
\(486\) | 15.5784 | + | 0.559696i | 0.706651 | + | 0.0253883i | ||||
\(487\) | −4.64855 | − | 15.8315i | −0.210646 | − | 0.717393i | −0.995246 | − | 0.0973917i | \(-0.968950\pi\) |
0.784600 | − | 0.620002i | \(-0.212868\pi\) | |||||||
\(488\) | 9.19308 | + | 7.96585i | 0.416151 | + | 0.360597i | ||||
\(489\) | 30.4929 | − | 13.6618i | 1.37894 | − | 0.617808i | ||||
\(490\) | 16.3878 | + | 4.25752i | 0.740325 | + | 0.192335i | ||||
\(491\) | 10.0564 | − | 4.59262i | 0.453840 | − | 0.207262i | −0.175361 | − | 0.984504i | \(-0.556109\pi\) |
0.629202 | + | 0.777242i | \(0.283382\pi\) | |||||||
\(492\) | −5.21308 | − | 0.787784i | −0.235024 | − | 0.0355161i | ||||
\(493\) | 5.93667 | + | 3.81527i | 0.267374 | + | 0.171831i | ||||
\(494\) | 1.46542 | − | 10.1922i | 0.0659324 | − | 0.458570i | ||||
\(495\) | −13.4401 | − | 28.1491i | −0.604087 | − | 1.26521i | ||||
\(496\) | −4.06511 | − | 2.61249i | −0.182529 | − | 0.117304i | ||||
\(497\) | 14.6120 | − | 12.6614i | 0.655438 | − | 0.567940i | ||||
\(498\) | −11.7987 | − | 5.49106i | −0.528714 | − | 0.246060i | ||||
\(499\) | 1.17804 | − | 0.757081i | 0.0527363 | − | 0.0338916i | −0.514007 | − | 0.857786i | \(-0.671839\pi\) |
0.566743 | + | 0.823894i | \(0.308203\pi\) | |||||||
\(500\) | 10.3834 | − | 4.14556i | 0.464358 | − | 0.185395i | ||||
\(501\) | 25.0442 | + | 0.179882i | 1.11889 | + | 0.00803651i | ||||
\(502\) | −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 | \(0.568588\pi\) | |||||||
\(504\) | 11.4509 | + | 0.164502i | 0.510062 | + | 0.00732748i | ||||
\(505\) | −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 | 0.348202 | − | 0.937420i | \(-0.386792\pi\) |
−0.480431 | + | 0.877033i | \(0.659520\pi\) | |||||||
\(510\) | −10.0418 | + | 1.69314i | −0.444659 | + | 0.0749734i | ||||
\(511\) | −20.4957 | − | 17.7596i | −0.906677 | − | 0.785640i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | 24.2188 | + | 11.6974i | 1.06929 | + | 0.516453i | ||||
\(514\) | −8.68374 | − | 19.0147i | −0.383023 | − | 0.838704i | ||||
\(515\) | 3.41709 | − | 30.5528i | 0.150575 | − | 1.34632i | ||||
\(516\) | −0.742761 | − | 5.44327i | −0.0326982 | − | 0.239627i | ||||
\(517\) | 6.73389 | − | 46.8353i | 0.296156 | − | 2.05981i | ||||
\(518\) | −5.15792 | + | 35.8741i | −0.226626 | + | 1.57622i | ||||
\(519\) | 2.10862 | + | 15.4528i | 0.0925579 | + | 0.678305i | ||||
\(520\) | 4.42076 | + | 0.494428i | 0.193863 | + | 0.0216821i | ||||
\(521\) | 10.4936 | + | 22.9777i | 0.459731 | + | 1.00667i | 0.987549 | + | 0.157313i | \(0.0502831\pi\) |
−0.527818 | + | 0.849358i | \(0.676990\pi\) | |||||||
\(522\) | 7.37130 | − | 3.23921i | 0.322633 | − | 0.141777i | ||||
\(523\) | 19.7801 | + | 5.80795i | 0.864922 | + | 0.253964i | 0.683954 | − | 0.729525i | \(-0.260259\pi\) |
0.180968 | + | 0.983489i | \(0.442077\pi\) | |||||||
\(524\) | 3.20258 | + | 2.77505i | 0.139906 | + | 0.121229i | ||||
\(525\) | −20.2258 | + | 26.1501i | −0.882725 | + | 1.14128i | ||||
\(526\) | −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 | ||||
\(531\) | 0.0401899 | − | 2.79759i | 0.00174409 | − | 0.121405i | ||||
\(532\) | 17.9733 | + | 8.20815i | 0.779243 | + | 0.355868i | ||||
\(533\) | 5.81018 | − | 1.70602i | 0.251667 | − | 0.0738961i | ||||
\(534\) | 23.9893 | + | 0.172305i | 1.03812 | + | 0.00745635i | ||||
\(535\) | −37.7644 | + | 18.7018i | −1.63270 | + | 0.808551i | ||||
\(536\) | −2.28928 | + | 1.47123i | −0.0988819 | + | 0.0635475i | ||||
\(537\) | 0.376260 | + | 0.175109i | 0.0162368 | + | 0.00755651i | ||||
\(538\) | 6.81796 | − | 5.90780i | 0.293943 | − | 0.254703i | ||||
\(539\) | 29.6208 | + | 19.0361i | 1.27586 | + | 0.819945i | ||||
\(540\) | −4.72211 | + | 10.6161i | −0.203207 | + | 0.456844i | ||||
\(541\) | 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 | ||||
\(543\) | −27.5056 | − | 4.15656i | −1.18038 | − | 0.178375i | ||||
\(544\) | −2.39177 | + | 1.09229i | −0.102546 | + | 0.0468314i | ||||
\(545\) | −4.53355 | + | 17.4503i | −0.194196 | + | 0.747487i | ||||
\(546\) | −12.0036 | + | 5.37799i | −0.513705 | + | 0.230157i | ||||
\(547\) | 3.39453 | + | 2.94137i | 0.145140 | + | 0.125764i | 0.724404 | − | 0.689375i | \(-0.242115\pi\) |
−0.579265 | + | 0.815139i | \(0.696660\pi\) | |||||||
\(548\) | −0.595181 | − | 2.02700i | −0.0254249 | − | 0.0865892i | ||||
\(549\) | 20.1683 | − | 30.4129i | 0.860763 | − | 1.29799i | ||||
\(550\) | 23.2040 | − | 1.46008i | 0.989423 | − | 0.0622579i | ||||
\(551\) | 13.8920 | 0.591817 | ||||||||
\(552\) | −7.15723 | + | 4.21592i | −0.304632 | + | 0.179442i | ||||
\(553\) | 31.1134i | 1.32308i | ||||||||
\(554\) | 8.09827 | − | 1.16435i | 0.344062 | − | 0.0494687i | ||||
\(555\) | −31.4066 | − | 19.1245i | −1.33314 | − | 0.811790i | ||||
\(556\) | 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 | \(0.459503\pi\) | |||||||
\(558\) | −6.21091 | + | 13.0987i | −0.262929 | + | 0.554514i | ||||
\(559\) | 3.41134 | + | 5.30815i | 0.144284 | + | 0.224511i | ||||
\(560\) | −3.30025 | + | 7.87204i | −0.139461 | + | 0.332655i | ||||
\(561\) | −20.9393 | − | 3.16429i | −0.884060 | − | 0.133596i | ||||
\(562\) | −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 | \(0.228975\pi\) | |||||||
\(564\) | −14.8950 | + | 9.42197i | −0.627193 | + | 0.396737i | ||||
\(565\) | −17.0759 | + | 3.00543i | −0.718389 | + | 0.126439i | ||||
\(566\) | 7.55671 | + | 8.72090i | 0.317632 | + | 0.366567i | ||||
\(567\) | −3.91051 | − | 34.1328i | −0.164226 | − | 1.43344i | ||||
\(568\) | 2.73829 | + | 4.26086i | 0.114896 | + | 0.178782i | ||||
\(569\) | −7.47177 | − | 2.19391i | −0.313233 | − | 0.0919734i | 0.121338 | − | 0.992611i | \(-0.461282\pi\) |
−0.434570 | + | 0.900638i | \(0.643100\pi\) | |||||||
\(570\) | −14.8278 | + | 13.4912i | −0.621069 | + | 0.565086i | ||||
\(571\) | 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 | ||||
\(573\) | 24.7380 | − | 28.1382i | 1.03344 | − | 1.17549i | ||||
\(574\) | 11.6198i | 0.485001i | ||||||||
\(575\) | 2.67174 | − | 23.8299i | 0.111419 | − | 0.993774i | ||||
\(576\) | −0.469555 | + | 2.96303i | −0.0195648 | + | 0.123459i | ||||
\(577\) | −21.9851 | + | 3.16098i | −0.915252 | + | 0.131593i | −0.583817 | − | 0.811885i | \(-0.698442\pi\) |
−0.331434 | + | 0.943478i | \(0.607533\pi\) | |||||||
\(578\) | 4.19002 | − | 9.17486i | 0.174282 | − | 0.381624i | ||||
\(579\) | −3.33300 | + | 5.10525i | −0.138515 | + | 0.212167i | ||||
\(580\) | 0.188532 | + | 5.99836i | 0.00782837 | + | 0.249068i | ||||
\(581\) | −8.08064 | + | 27.5201i | −0.335242 | + | 1.14173i | ||||
\(582\) | −6.94767 | − | 2.09434i | −0.287990 | − | 0.0868132i | ||||
\(583\) | 47.5015 | − | 21.6932i | 1.96731 | − | 0.898440i | ||||
\(584\) | 5.36910 | − | 4.65235i | 0.222175 | − | 0.192516i | ||||
\(585\) | −0.227593 | − | 13.3430i | −0.00940979 | − | 0.551666i | ||||
\(586\) | −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 | \(0.970059\pi\) | |||||||
\(588\) | −1.77322 | − | 12.9949i | −0.0731263 | − | 0.535901i | ||||
\(589\) | −18.9027 | + | 16.3793i | −0.778874 | + | 0.674898i | ||||
\(590\) | 1.92324 | + | 0.806293i | 0.0791786 | + | 0.0331946i | ||||
\(591\) | 34.8849 | + | 10.5159i | 1.43497 | + | 0.432566i | ||||
\(592\) | −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 | \(0.159519\pi\) | |||||||
\(594\) | −16.2125 | + | 17.9153i | −0.665208 | + | 0.735073i | ||||
\(595\) | 6.99661 | + | 21.3256i | 0.286833 | + | 0.874265i | ||||
\(596\) | 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 | \(0.0377703\pi\) | ||||
−0.992968 | + | 0.118381i | \(0.962230\pi\) | |||||||
\(600\) | −6.02657 | − | 6.21936i | −0.246034 | − | 0.253904i | ||||
\(601\) | −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 | ||||
\(603\) | 5.25699 | + | 6.24596i | 0.214081 | + | 0.254355i | ||||
\(604\) | −8.58581 | − | 2.52102i | −0.349352 | − | 0.102579i | ||||
\(605\) | 22.9891 | + | 5.97254i | 0.934641 | + | 0.242818i | ||||
\(606\) | 9.14361 | + | 4.25538i | 0.371434 | + | 0.172863i | ||||
\(607\) | −33.8686 | + | 29.3474i | −1.37469 | + | 1.19117i | −0.415094 | + | 0.909779i | \(0.636251\pi\) |
−0.959592 | + | 0.281393i | \(0.909203\pi\) | |||||||
\(608\) | −2.79840 | + | 4.35440i | −0.113490 | + | 0.176594i | ||||
\(609\) | −9.48639 | − | 14.9969i | −0.384408 | − | 0.607703i | ||||
\(610\) | 15.4170 | + | 22.4088i | 0.624216 | + | 0.907306i | ||||
\(611\) | 10.9442 | − | 17.0295i | 0.442755 | − | 0.688941i | ||||
\(612\) | 4.16890 | + | 6.69651i | 0.168518 | + | 0.270690i | ||||
\(613\) | 14.2059 | + | 31.1065i | 0.573770 | + | 1.25638i | 0.944766 | + | 0.327746i | \(0.106289\pi\) |
−0.370996 | + | 0.928635i | \(0.620984\pi\) | |||||||
\(614\) | −15.4504 | − | 24.0413i | −0.623526 | − | 0.970226i | ||||
\(615\) | −10.8393 | − | 4.63605i | −0.437084 | − | 0.186944i | ||||
\(616\) | −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 | \(0.794429\pi\) | |||||||
\(618\) | −22.8966 | + | 6.54479i | −0.921037 | + | 0.263270i | ||||
\(619\) | 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 | ||||
\(621\) | 15.2937 | + | 19.6749i | 0.613716 | + | 0.789527i | ||||
\(622\) | 17.0030i | 0.681759i | ||||||||
\(623\) | −7.52454 | − | 52.3343i | −0.301464 | − | 2.09673i | ||||
\(624\) | −0.946982 | − | 3.31297i | −0.0379096 | − | 0.132625i | ||||
\(625\) | 24.8028 | − | 3.13376i | 0.992113 | − | 0.125350i | ||||
\(626\) | −0.958412 | + | 1.10607i | −0.0383059 | + | 0.0442073i | ||||
\(627\) | −38.0443 | + | 17.0451i | −1.51934 | + | 0.680716i | ||||
\(628\) | 11.2629 | − | 7.23824i | 0.449439 | − | 0.288837i | ||||
\(629\) | −22.7082 | + | 10.3705i | −0.905434 | + | 0.413498i | ||||
\(630\) | 24.6897 | + | 6.79439i | 0.983662 | + | 0.270695i | ||||
\(631\) | 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 | ||||
\(633\) | −24.4404 | + | 15.4600i | −0.971419 | + | 0.614480i | ||||
\(634\) | 2.43854 | + | 1.56716i | 0.0968469 | + | 0.0622397i | ||||
\(635\) | −32.3187 | − | 3.61459i | −1.28253 | − | 0.143441i | ||||
\(636\) | −17.6351 | − | 8.20727i | −0.699278 | − | 0.325439i | ||||
\(637\) | 8.14401 | + | 12.6723i | 0.322678 | + | 0.502096i | ||||
\(638\) | −3.51601 | + | 11.9744i | −0.139200 | + | 0.474073i | ||||
\(639\) | 11.6251 | − | 9.78442i | 0.459883 | − | 0.387066i | ||||
\(640\) | −1.91815 | − | 1.14922i | −0.0758215 | − | 0.0454268i | ||||
\(641\) | −5.84502 | + | 12.7988i | −0.230864 | + | 0.505522i | −0.989241 | − | 0.146294i | \(-0.953265\pi\) |
0.758377 | + | 0.651816i | \(0.225993\pi\) | |||||||
\(642\) | 24.5156 | + | 21.5531i | 0.967552 | + | 0.850632i | ||||
\(643\) | 27.4053 | 1.08076 | 0.540379 | − | 0.841421i | \(-0.318281\pi\) | ||||
0.540379 | + | 0.841421i | \(0.318281\pi\) | |||||||
\(644\) | 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 | \(0.0691453\pi\) | |||||||
\(648\) | 8.99629 | + | 0.258532i | 0.353407 | + | 0.0101561i | ||||
\(649\) | 3.27746 | + | 2.83994i | 0.128652 | + | 0.111477i | ||||
\(650\) | 9.28951 | + | 3.55567i | 0.364365 | + | 0.139465i | ||||
\(651\) | 30.5902 | + | 9.22124i | 1.19892 | + | 0.361409i | ||||
\(652\) | 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 | \(0.858757\pi\) | |||||||
\(654\) | 13.8374 | − | 1.88818i | 0.541085 | − | 0.0738337i | ||||
\(655\) | 5.37080 | + | 7.80653i | 0.209855 | + | 0.305026i | ||||
\(656\) | −3.01296 | − | 0.433198i | −0.117636 | − | 0.0169136i | ||||
\(657\) | −15.9052 | − | 14.1870i | −0.620519 | − | 0.553487i | ||||
\(658\) | 25.4375 | + | 29.3565i | 0.991659 | + | 1.14444i | ||||
\(659\) | −5.09394 | − | 11.1542i | −0.198432 | − | 0.434505i | 0.784092 | − | 0.620645i | \(-0.213129\pi\) |
−0.982523 | + | 0.186141i | \(0.940402\pi\) | |||||||
\(660\) | −7.87616 | − | 16.1957i | −0.306579 | − | 0.630418i | ||||
\(661\) | 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 | ||||
\(663\) | −7.58634 | − | 4.95279i | −0.294629 | − | 0.192351i | ||||
\(664\) | −6.83460 | − | 3.12126i | −0.265234 | − | 0.121128i | ||||
\(665\) | 34.2832 | + | 27.8700i | 1.32944 | + | 1.08075i | ||||
\(666\) | −4.45809 | + | 28.1318i | −0.172748 | + | 1.09009i | ||||
\(667\) | 11.5329 | + | 5.71528i | 0.446557 | + | 0.221297i | ||||
\(668\) | 14.4596 | 0.559460 | ||||||||
\(669\) | 4.03126 | + | 3.54412i | 0.155857 | + | 0.137024i | ||||
\(670\) | −5.78173 | + | 1.89690i | −0.223368 | + | 0.0732836i | ||||
\(671\) | 15.9357 | + | 54.2721i | 0.615192 | + | 2.09515i | ||||
\(672\) | 6.61167 | + | 0.0474887i | 0.255051 | + | 0.00183192i | ||||
\(673\) | 9.23387 | − | 31.4477i | 0.355940 | − | 1.21222i | −0.565844 | − | 0.824513i | \(-0.691449\pi\) |
0.921783 | − | 0.387706i | \(-0.126732\pi\) | |||||||
\(674\) | 19.5367 | − | 12.5554i | 0.752524 | − | 0.483618i | ||||
\(675\) | −16.1887 | + | 20.3206i | −0.623104 | + | 0.782139i | ||||
\(676\) | −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 | \(0.302680\pi\) | |||||||
\(678\) | 7.17960 | + | 11.3501i | 0.275731 | + | 0.435898i | ||||
\(679\) | −2.27602 | + | 15.8301i | −0.0873458 | + | 0.607503i | ||||
\(680\) | −5.79048 | + | 1.01915i | −0.222055 | + | 0.0390826i | ||||
\(681\) | −15.6573 | − | 2.36608i | −0.599988 | − | 0.0906683i | ||||
\(682\) | −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 | \(0.594522\pi\) | |||||||
\(684\) | 14.0309 | + | 6.65290i | 0.536484 | + | 0.254380i | ||||
\(685\) | −0.148401 | − | 4.72153i | −0.00567010 | − | 0.180400i | ||||
\(686\) | −2.09558 | + | 0.615319i | −0.0800098 | + | 0.0234930i | ||||
\(687\) | 9.48340 | + | 33.1772i | 0.361814 | + | 1.26579i | ||||
\(688\) | −0.451394 | − | 3.13951i | −0.0172092 | − | 0.119693i | ||||
\(689\) | 22.3409 | 0.851121 | ||||||||
\(690\) | −17.8603 | + | 5.09996i | −0.679930 | + | 0.194152i | ||||
\(691\) | 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 | ||||
\(693\) | 44.3801 | + | 29.4306i | 1.68586 | + | 1.11798i | ||||
\(694\) | 23.6986 | − | 6.95853i | 0.899586 | − | 0.264142i | ||||
\(695\) | 8.91320 | − | 0.280147i | 0.338097 | − | 0.0106266i | ||||
\(696\) | 4.24228 | − | 1.90068i | 0.160803 | − | 0.0720451i | ||||
\(697\) | −6.73314 | + | 4.32713i | −0.255036 | + | 0.163902i | ||||
\(698\) | 13.7215 | + | 30.0460i | 0.519368 | + | 1.13726i | ||||
\(699\) | 1.23745 | − | 8.18869i | 0.0468046 | − | 0.309725i | ||||
\(700\) | −11.5686 | + | 15.1813i | −0.437253 | + | 0.573798i | ||||
\(701\) | 1.64319 | − | 11.4286i | 0.0620625 | − | 0.431654i | −0.934974 | − | 0.354718i | \(-0.884577\pi\) |
0.997036 | − | 0.0769365i | \(-0.0245139\pi\) | |||||||
\(702\) | −9.49317 | + | 4.09054i | −0.358297 | + | 0.154388i | ||||
\(703\) | −26.5688 | + | 41.3419i | −1.00206 | + | 1.55924i | ||||
\(704\) | −3.04509 | − | 3.51422i | −0.114766 | − | 0.132447i | ||||
\(705\) | −37.5338 | + | 12.0164i | −1.41360 | + | 0.452562i | ||||
\(706\) | 4.94692 | − | 3.17919i | 0.186180 | − | 0.119651i | ||||
\(707\) | 6.26222 | − | 21.3272i | 0.235515 | − | 0.802090i | ||||
\(708\) | 0.0116021 | − | 1.61532i | 0.000436034 | − | 0.0607073i | ||||
\(709\) | −1.87388 | − | 6.38183i | −0.0703749 | − | 0.239675i | 0.916792 | − | 0.399364i | \(-0.130769\pi\) |
−0.987167 | + | 0.159689i | \(0.948951\pi\) | |||||||
\(710\) | 3.53055 | + | 10.7611i | 0.132499 | + | 0.403856i | ||||
\(711\) | −0.351233 | + | 24.4491i | −0.0131723 | + | 0.916913i | ||||
\(712\) | 13.8506 | 0.519072 | ||||||||
\(713\) | −22.4314 | + | 5.82115i | −0.840064 | + | 0.218004i | ||||
\(714\) | 13.2202 | − | 11.2901i | 0.494753 | − | 0.422523i | ||||
\(715\) | 16.0502 | + | 13.0478i | 0.600244 | + | 0.487959i | ||||
\(716\) | 0.217954 | + | 0.0995364i | 0.00814533 | + | 0.00371985i | ||||
\(717\) | 13.8469 | − | 21.2098i | 0.517123 | − | 0.792093i | ||||
\(718\) | 17.1519 | − | 19.7944i | 0.640104 | − | 0.738720i | ||||
\(719\) | 9.85108 | − | 33.5497i | 0.367383 | − | 1.25119i | −0.543809 | − | 0.839209i | \(-0.683018\pi\) |
0.911192 | − | 0.411983i | \(-0.135164\pi\) | |||||||
\(720\) | −2.68222 | + | 6.14864i | −0.0999603 | + | 0.229146i | ||||
\(721\) | 21.8026 | + | 47.7411i | 0.811973 | + | 1.77797i | ||||
\(722\) | 5.10257 | + | 5.88868i | 0.189898 | + | 0.219154i | ||||
\(723\) | 8.48391 | − | 1.15767i | 0.315520 | − | 0.0430542i | ||||
\(724\) | −15.8972 | − | 2.28567i | −0.590814 | − | 0.0849463i | ||||
\(725\) | −2.96462 | + | 13.0878i | −0.110103 | + | 0.486069i | ||||
\(726\) | −2.48751 | − | 18.2295i | −0.0923200 | − | 0.676561i | ||||
\(727\) | −32.7517 | − | 37.7975i | −1.21469 | − | 1.40183i | −0.889968 | − | 0.456022i | \(-0.849274\pi\) |
−0.324725 | − | 0.945809i | \(-0.605272\pi\) | |||||||
\(728\) | −6.90778 | + | 3.15468i | −0.256019 | + | 0.116920i | ||||
\(729\) | −2.68758 | − | 26.8659i | −0.0995399 | − | 0.995034i | ||||
\(730\) | 14.2358 | − | 7.04989i | 0.526889 | − | 0.260928i | ||||
\(731\) | −6.30285 | − | 5.46145i | −0.233119 | − | 0.201999i | ||||
\(732\) | 11.5178 | − | 17.6421i | 0.425709 | − | 0.652071i | ||||
\(733\) | 8.63708 | − | 18.9126i | 0.319018 | − | 0.698552i | −0.680394 | − | 0.732847i | \(-0.738191\pi\) |
0.999412 | + | 0.0342949i | \(0.0109185\pi\) | |||||||
\(734\) | −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 | ||||||||
\(738\) | −0.131173 | + | 9.13089i | −0.00482855 | + | 0.336113i | ||||
\(739\) | −5.32461 | + | 11.6593i | −0.195869 | + | 0.428893i | −0.981927 | − | 0.189259i | \(-0.939391\pi\) |
0.786058 | + | 0.618153i | \(0.212119\pi\) | |||||||
\(740\) | −18.2115 | − | 10.9110i | −0.669467 | − | 0.401097i | ||||
\(741\) | −17.8345 | − | 0.128098i | −0.655168 | − | 0.00470579i | ||||
\(742\) | −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 | \(0.523222\pi\) | |||||||
\(744\) | −3.53146 | + | 7.58812i | −0.129470 | + | 0.278194i | ||||
\(745\) | −2.68972 | + | 24.0492i | −0.0985436 | + | 0.881094i | ||||
\(746\) | −27.5392 | − | 17.6984i | −1.00828 | − | 0.647984i | ||||
\(747\) | −6.66048 | + | 21.5342i | −0.243694 | + | 0.787897i | ||||
\(748\) | −12.1021 | − | 1.74003i | −0.442498 | − | 0.0636216i | ||||
\(749\) | 38.8952 | − | 60.5221i | 1.42120 | − | 2.21143i | ||||
\(750\) | −9.54594 | − | 16.8486i | −0.348568 | − | 0.615224i | ||||
\(751\) | 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 | ||||
\(753\) | 13.9068 | + | 31.0398i | 0.506793 | + | 1.13115i | ||||
\(754\) | −3.49641 | + | 4.03507i | −0.127332 | + | 0.146949i | ||||
\(755\) | −17.1641 | − | 10.2835i | −0.624667 | − | 0.374256i | ||||
\(756\) | −2.39921 | − | 19.6899i | −0.0872586 | − | 0.716114i | ||||
\(757\) | −4.92737 | − | 34.2706i | −0.179088 | − | 1.24559i | −0.858878 | − | 0.512180i | \(-0.828838\pi\) |
0.679790 | − | 0.733407i | \(-0.262071\pi\) | |||||||
\(758\) | 17.2558i | 0.626760i | ||||||||
\(759\) | −38.5965 | − | 1.50117i | −1.40096 | − | 0.0544889i | ||||
\(760\) | −8.50468 | + | 7.85046i | −0.308497 | + | 0.284766i | ||||
\(761\) | −2.72082 | + | 0.391195i | −0.0986296 | + | 0.0141808i | −0.191453 | − | 0.981502i | \(-0.561320\pi\) |
0.0928233 | + | 0.995683i | \(0.470411\pi\) | |||||||
\(762\) | 6.92307 | + | 24.2200i | 0.250796 | + | 0.877398i | ||||
\(763\) | −8.67159 | − | 29.5327i | −0.313932 | − | 1.06916i | ||||
\(764\) | 14.1654 | − | 16.3478i | 0.512487 | − | 0.591442i | ||||
\(765\) | 5.25723 | + | 16.8367i | 0.190076 | + | 0.608734i | ||||
\(766\) | −5.52757 | − | 8.60106i | −0.199719 | − | 0.310769i | ||||
\(767\) | 0.770728 | + | 1.68766i | 0.0278294 | + | 0.0609379i | ||||
\(768\) | −0.258804 | + | 1.71261i | −0.00933878 | + | 0.0617984i | ||||
\(769\) | −10.5539 | + | 16.4221i | −0.380582 | + | 0.592197i | −0.977713 | − | 0.209947i | \(-0.932671\pi\) |
0.597131 | + | 0.802144i | \(0.296307\pi\) | |||||||
\(770\) | −32.7000 | + | 22.4973i | −1.17843 | + | 0.810745i | ||||
\(771\) | −30.5986 | + | 19.3554i | −1.10198 | + | 0.697067i | ||||
\(772\) | −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 | \(0.386122\pi\) | |||||||
\(774\) | −9.16752 | + | 2.54937i | −0.329520 | + | 0.0916353i | ||||
\(775\) | −11.3972 | − | 21.3040i | −0.409401 | − | 0.765261i | ||||
\(776\) | −4.01982 | − | 1.18033i | −0.144303 | − | 0.0423713i | ||||
\(777\) | 62.7731 | + | 0.450872i | 2.25197 | + | 0.0161749i | ||||
\(778\) | 17.0040 | − | 4.99283i | 0.609624 | − | 0.179002i | ||||
\(779\) | −6.54516 | + | 14.3319i | −0.234505 | + | 0.513494i | ||||
\(780\) | −0.186727 | − | 7.70245i | −0.00668591 | − | 0.275792i | ||||
\(781\) | 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 | ||||
\(785\) | 28.4453 | − | 9.33246i | 1.01525 | − | 0.333090i | ||||
\(786\) | 4.01243 | − | 6.14596i | 0.143119 | − | 0.219219i | ||||
\(787\) | −10.9098 | + | 12.5906i | −0.388892 | + | 0.448805i | −0.916111 | − | 0.400924i | \(-0.868689\pi\) |
0.527220 | + | 0.849729i | \(0.323235\pi\) | |||||||
\(788\) | 20.1839 | + | 5.92653i | 0.719022 | + | 0.211124i | ||||
\(789\) | −0.569176 | + | 1.88816i | −0.0202632 | + | 0.0672202i | ||||
\(790\) | −16.8079 | − | 7.04646i | −0.597997 | − | 0.250702i | ||||
\(791\) | 22.3698 | − | 19.3836i | 0.795380 | − | 0.689201i | ||||
\(792\) | −9.28577 | + | 10.4104i | −0.329956 | + | 0.369916i | ||||
\(793\) | −3.44385 | + | 23.9525i | −0.122295 | + | 0.850579i | ||||
\(794\) | 16.8211 | + | 2.41851i | 0.596959 | + | 0.0858298i | ||||
\(795\) | −33.5517 | − | 27.6779i | −1.18996 | − | 0.981634i | ||||
\(796\) | 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 | \(0.230229\pi\) | |||||||
\(798\) | 9.87746 | − | 32.7670i | 0.349658 | − | 1.15994i | ||||
\(799\) | −7.53799 | + | 25.6720i | −0.266675 | + | 0.908212i | ||||
\(800\) | −3.50514 | − | 3.56567i | −0.123926 | − | 0.126065i | ||||
\(801\) | −5.32203 | − | 41.2095i | −0.188045 | − | 1.45607i | ||||
\(802\) | 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 | ||||
\(805\) | 16.9955 | + | 37.2418i | 0.599013 | + | 1.31260i | ||||
\(806\) | − | 9.61295i | − | 0.338602i | ||||||
\(807\) | −11.7353 | − | 10.3172i | −0.413101 | − | 0.363181i | ||||
\(808\) | 5.29658 | + | 2.41887i | 0.186333 | + | 0.0850954i | ||||
\(809\) | −4.67057 | − | 15.9065i | −0.164208 | − | 0.559243i | −0.999949 | − | 0.0101178i | \(-0.996779\pi\) |
0.835740 | − | 0.549125i | \(-0.185039\pi\) | |||||||
\(810\) | 19.3246 | + | 5.61779i | 0.678998 | + | 0.197389i | ||||
\(811\) | −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 | ||||
\(813\) | −0.165194 | + | 0.354956i | −0.00579362 | + | 0.0124489i | ||||
\(814\) | −28.9110 | − | 33.3651i | −1.01333 | − | 1.16944i | ||||
\(815\) | 42.4836 | − | 7.47729i | 1.48814 | − | 0.261918i | ||||
\(816\) | 2.43462 | + | 3.84884i | 0.0852287 | + | 0.134737i | ||||
\(817\) | −16.2504 | − | 2.33645i | −0.568529 | − | 0.0817421i | ||||
\(818\) | −23.5013 | − | 15.1033i | −0.821702 | − | 0.528076i | ||||
\(819\) | 12.0404 | + | 19.3405i | 0.420725 | + | 0.675811i | ||||
\(820\) | −6.27715 | − | 2.63161i | −0.219208 | − | 0.0918998i | ||||
\(821\) | −7.17674 | − | 11.1672i | −0.250470 | − | 0.389739i | 0.693137 | − | 0.720805i | \(-0.256228\pi\) |
−0.943607 | + | 0.331067i | \(0.892592\pi\) | |||||||
\(822\) | −3.33926 | + | 1.49610i | −0.116470 | + | 0.0521823i | ||||
\(823\) | −27.1918 | − | 23.5618i | −0.947847 | − | 0.821314i | 0.0361782 | − | 0.999345i | \(-0.488482\pi\) |
−0.984025 | + | 0.178032i | \(0.943027\pi\) | |||||||
\(824\) | −13.1919 | + | 3.87349i | −0.459561 | + | 0.134939i | ||||
\(825\) | −7.93955 | − | 39.4796i | −0.276419 | − | 1.37450i | ||||
\(826\) | −3.52392 | + | 0.506664i | −0.122613 | + | 0.0176291i | ||||
\(827\) | − | 13.7417i | − | 0.477846i | −0.971039 | − | 0.238923i | \(-0.923206\pi\) | ||
0.971039 | − | 0.238923i | \(-0.0767943\pi\) | |||||||
\(828\) | 8.91120 | + | 11.2956i | 0.309686 | + | 0.392549i | ||||
\(829\) | −30.8553 | −1.07165 | −0.535824 | − | 0.844330i | \(-0.679999\pi\) | ||||
−0.535824 | + | 0.844330i | \(0.679999\pi\) | |||||||
\(830\) | −13.0366 | − | 10.5979i | −0.452508 | − | 0.367859i | ||||
\(831\) | −3.89463 | − | 13.6252i | −0.135103 | − | 0.472651i | ||||
\(832\) | −0.560465 | − | 1.90877i | −0.0194306 | − | 0.0661746i | ||||
\(833\) | −15.0470 | − | 13.0383i | −0.521348 | − | 0.451751i | ||||
\(834\) | −2.82429 | − | 6.30377i | −0.0977973 | − | 0.218282i | ||||
\(835\) | 31.2939 | + | 8.13010i | 1.08297 | + | 0.281354i | ||||
\(836\) | −21.8937 | + | 9.99850i | −0.757208 | + | 0.345805i | ||||
\(837\) | 23.9338 | + | 7.59143i | 0.827273 | + | 0.262398i | ||||
\(838\) | 26.7820 | + | 17.2117i | 0.925169 | + | 0.594570i | ||||
\(839\) | 0.673592 | − | 4.68494i | 0.0232550 | − | 0.161742i | −0.974885 | − | 0.222710i | \(-0.928510\pi\) |
0.998140 | + | 0.0609681i | \(0.0194188\pi\) | |||||||
\(840\) | 14.2824 | + | 3.82026i | 0.492791 | + | 0.131812i | ||||
\(841\) | 18.3367 | + | 11.7843i | 0.632298 | + | 0.406354i | ||||
\(842\) | 23.5131 | − | 20.3742i | 0.810316 | − | 0.702142i | ||||
\(843\) | −15.5827 | + | 33.4827i | −0.536695 | + | 1.15321i | ||||
\(844\) | −14.0462 | + | 9.02695i | −0.483490 | + | 0.310720i | ||||
\(845\) | −8.97319 | − | 18.1195i | −0.308687 | − | 0.623328i | ||||
\(846\) | 19.6576 | + | 23.3556i | 0.675841 | + | 0.802983i | ||||
\(847\) | −38.9067 | + | 11.4240i | −1.33685 | + | 0.392534i | ||||
\(848\) | −10.2154 | − | 4.66522i | −0.350799 | − | 0.160204i | ||||
\(849\) | 13.1968 | − | 15.0107i | 0.452911 | − | 0.515164i | ||||
\(850\) | −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 | −0.325722 | − | 0.945465i | \(-0.605607\pi\) |
−0.0461598 | + | 0.998934i | \(0.514698\pi\) | |||||||
\(854\) | −42.2387 | − | 19.2898i | −1.44538 | − | 0.660082i | ||||
\(855\) | 26.6253 | + | 22.2874i | 0.910565 | + | 0.762212i | ||||
\(856\) | 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 | \(0.746625\pi\) | |||||||
\(858\) | 4.62429 | − | 15.3404i | 0.157871 | − | 0.523713i | ||||
\(859\) | −19.7013 | − | 43.1398i | −0.672199 | − | 1.47191i | −0.870703 | − | 0.491810i | \(-0.836335\pi\) |
0.198504 | − | 0.980100i | \(-0.436392\pi\) | |||||||
\(860\) | 0.788310 | − | 7.04841i | 0.0268811 | − | 0.240349i | ||||
\(861\) | 19.9413 | − | 2.72108i | 0.679597 | − | 0.0927343i | ||||
\(862\) | 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 | \(0.888525\pi\) | |||||||
\(864\) | 5.19495 | + | 0.111955i | 0.176736 | + | 0.00380877i | ||||
\(865\) | −2.23792 | + | 20.0097i | −0.0760917 | + | 0.680349i | ||||
\(866\) | 12.3277 | + | 26.9938i | 0.418911 | + | 0.917288i | ||||
\(867\) | −16.7266 | − | 5.04215i | −0.568066 | − | 0.171240i | ||||
\(868\) | 17.6990 | + | 5.19690i | 0.600744 | + | 0.176394i | ||||
\(869\) | −28.6428 | − | 24.8191i | −0.971641 | − | 0.841932i | ||||
\(870\) | 10.2499 | − | 1.72822i | 0.347505 | − | 0.0585923i | ||||
\(871\) | −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 | ||||
\(876\) | −9.24144 | − | 8.12469i | −0.312239 | − | 0.274508i | ||||
\(877\) | 2.93588 | + | 1.34077i | 0.0991377 | + | 0.0452747i | 0.464367 | − | 0.885643i | \(-0.346282\pi\) |
−0.365229 | + | 0.930918i | \(0.619009\pi\) | |||||||
\(878\) | −23.9008 | + | 7.01791i | −0.806613 | + | 0.236843i | ||||
\(879\) | −0.381751 | + | 53.1497i | −0.0128761 | + | 1.79269i | ||||
\(880\) | −4.61435 | − | 9.31770i | −0.155550 | − | 0.314100i | ||||
\(881\) | 22.6678 | − | 14.5677i | 0.763699 | − | 0.490799i | −0.0998887 | − | 0.994999i | \(-0.531849\pi\) |
0.863587 | + | 0.504199i | \(0.168212\pi\) | |||||||
\(882\) | −21.8859 | + | 6.08620i | −0.736937 | + | 0.204933i | ||||
\(883\) | −25.4111 | + | 22.0189i | −0.855153 | + | 0.740994i | −0.967553 | − | 0.252669i | \(-0.918692\pi\) |
0.112400 | + | 0.993663i | \(0.464146\pi\) | |||||||
\(884\) | −4.40040 | − | 2.82796i | −0.148001 | − | 0.0951147i | ||||
\(885\) | 0.933339 | − | 3.48938i | 0.0313739 | − | 0.117294i | ||||
\(886\) | −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 | \(0.564624\pi\) | |||||||
\(888\) | −2.45716 | + | 16.2600i | −0.0824569 | + | 0.545649i | ||||
\(889\) | 50.5005 | − | 23.0628i | 1.69373 | − | 0.773501i | ||||
\(890\) | 29.9757 | + | 7.78765i | 1.00479 | + | 0.261043i | ||||
\(891\) | 34.5419 | + | 23.6277i | 1.15720 | + | 0.791559i | ||||
\(892\) | 2.34209 | + | 2.02943i | 0.0784188 | + | 0.0679503i | ||||
\(893\) | 14.8389 | + | 50.5368i | 0.496566 | + | 1.69115i | ||||
\(894\) | 18.0227 | − | 5.15164i | 0.602771 | − | 0.172297i | ||||
\(895\) | 0.415736 | + | 0.337966i | 0.0138965 | + | 0.0112970i | ||||
\(896\) | 3.81735 | 0.127529 | ||||||||
\(897\) | −14.7533 | − | 7.44365i | −0.492599 | − | 0.248536i | ||||
\(898\) | 30.2777i | 1.01038i | ||||||||
\(899\) | 12.8370 | − | 1.84569i | 0.428139 | − | 0.0615571i | ||||
\(900\) | −9.26206 | + | 11.7989i | −0.308735 | + | 0.393297i | ||||
\(901\) | −28.3326 | + | 8.31919i | −0.943894 | + | 0.277152i | ||||
\(902\) | −10.6971 | − | 9.26909i | −0.356174 | − | 0.308627i | ||||
\(903\) | 8.57460 | + | 19.1383i | 0.285345 | + | 0.636884i | ||||
\(904\) | 4.19211 | + | 6.52304i | 0.139427 | + | 0.216953i | ||||
\(905\) | −33.1199 | − | 13.8851i | −1.10094 | − | 0.461556i | ||||
\(906\) | −2.31585 | + | 15.3249i | −0.0769389 | + | 0.509135i | ||||
\(907\) | −24.1177 | − | 15.4995i | −0.800814 | − | 0.514652i | 0.0750673 | − | 0.997178i | \(-0.476083\pi\) |
−0.875881 | + | 0.482526i | \(0.839719\pi\) | |||||||
\(908\) | −9.04931 | − | 1.30109i | −0.300312 | − | 0.0431783i | ||||
\(909\) | 5.16164 | − | 16.6883i | 0.171201 | − | 0.553516i | ||||
\(910\) | −16.7237 | + | 2.94345i | −0.554386 | + | 0.0975744i | ||||
\(911\) | −28.0917 | − | 32.4195i | −0.930718 | − | 1.07411i | −0.997084 | − | 0.0763109i | \(-0.975686\pi\) |
0.0663657 | − | 0.997795i | \(-0.478860\pi\) | |||||||
\(912\) | 8.12811 | + | 3.78277i | 0.269149 | + | 0.125260i | ||||
\(913\) | −18.8889 | − | 29.3918i | −0.625133 | − | 0.972725i | ||||
\(914\) | 33.1332 | + | 9.72878i | 1.09595 | + | 0.321799i | ||||
\(915\) | 34.8465 | − | 31.7054i | 1.15199 | − | 1.04815i | ||||
\(916\) | 5.61268 | + | 19.1150i | 0.185448 | + | 0.631578i | ||||
\(917\) | −14.7147 | − | 6.71996i | −0.485921 | − | 0.221913i | ||||
\(918\) | 10.5159 | − | 8.72260i | 0.347078 | − | 0.287889i | ||||
\(919\) | − | 42.6968i | − | 1.40844i | −0.709984 | − | 0.704218i | \(-0.751298\pi\) | ||
0.709984 | − | 0.704218i | \(-0.248702\pi\) | |||||||
\(920\) | −10.2902 | + | 3.01845i | −0.339259 | + | 0.0995154i | ||||
\(921\) | −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 | ||||
\(924\) | 25.7442 | + | 16.8073i | 0.846923 | + | 0.552920i | ||||
\(925\) | −33.2789 | − | 33.8535i | −1.09420 | − | 1.11310i | ||||
\(926\) | −0.640373 | + | 2.18091i | −0.0210440 | + | 0.0716691i | ||||
\(927\) | 16.5937 | + | 37.7613i | 0.545008 | + | 1.24024i | ||||
\(928\) | 2.44134 | − | 1.11492i | 0.0801408 | − | 0.0365991i | ||||
\(929\) | −2.18797 | + | 1.89589i | −0.0717850 | + | 0.0622021i | −0.690014 | − | 0.723796i | \(-0.742396\pi\) |
0.618229 | + | 0.785998i | \(0.287850\pi\) | |||||||
\(930\) | −11.9094 | + | 14.4368i | −0.390524 | + | 0.473400i | ||||
\(931\) | −38.7951 | − | 5.57789i | −1.27146 | − | 0.182808i | ||||
\(932\) | 0.680467 | − | 4.73275i | 0.0222894 | − | 0.155026i | ||||
\(933\) | 29.1797 | − | 3.98171i | 0.955301 | − | 0.130355i | ||||
\(934\) | −8.66448 | + | 7.50781i | −0.283510 | + | 0.245663i | ||||
\(935\) | −25.2134 | − | 10.5704i | −0.824566 | − | 0.345688i | ||||
\(936\) | −5.46378 | + | 2.40098i | −0.178589 | + | 0.0784785i | ||||
\(937\) | 3.16941 | + | 0.930624i | 0.103540 | + | 0.0304022i | 0.333092 | − | 0.942894i | \(-0.391908\pi\) |
−0.229552 | + | 0.973296i | \(0.573726\pi\) | |||||||
\(938\) | 6.80272 | − | 7.85076i | 0.222117 | − | 0.256336i | ||||
\(939\) | 2.12261 | + | 1.38576i | 0.0692688 | + | 0.0452226i | ||||
\(940\) | −21.6197 | + | 7.09311i | −0.705158 | + | 0.231352i | ||||
\(941\) | −0.880945 | − | 6.12711i | −0.0287180 | − | 0.199738i | 0.970411 | − | 0.241458i | \(-0.0776255\pi\) |
−0.999129 | + | 0.0417196i | \(0.986716\pi\) | |||||||
\(942\) | −15.0594 | − | 17.6338i | −0.490662 | − | 0.574540i | ||||
\(943\) | −11.3300 | + | 9.20543i | −0.368955 | + | 0.299770i | ||||
\(944\) | − | 0.932627i | − | 0.0303544i | ||||||
\(945\) | 5.87843 | − | 43.9623i | 0.191225 | − | 1.43009i | ||||
\(946\) | 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 | \(0.764164\pi\) | |||||||
\(948\) | −0.101395 | + | 14.1168i | −0.00329315 | + | 0.458492i | ||||
\(949\) | 13.5605 | + | 3.98173i | 0.440193 | + | 0.129252i | ||||
\(950\) | −22.8200 | + | 12.2083i | −0.740380 | + | 0.396089i | ||||
\(951\) | 2.11842 | − | 4.55189i | 0.0686945 | − | 0.147605i | ||||
\(952\) | 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 | \(0.0942166\pi\) | |||||||
\(954\) | −9.95516 | + | 32.1864i | −0.322310 | + | 1.04207i | ||||
\(955\) | 39.8489 | − | 27.4156i | 1.28948 | − | 0.887146i | ||||
\(956\) | 7.90638 | − | 12.3026i | 0.255710 | − | 0.397893i | ||||
\(957\) | 21.3733 | + | 3.22986i | 0.690900 | + | 0.104407i | ||||
\(958\) | −3.37056 | − | 7.38050i | −0.108898 | − | 0.238453i | ||||
\(959\) | 4.35996 | + | 6.78424i | 0.140791 | + | 0.219074i | ||||
\(960\) | −1.52304 | + | 3.56095i | −0.0491560 | + | 0.114929i | ||||
\(961\) | 5.00952 | − | 5.78130i | 0.161598 | − | 0.186494i | ||||
\(962\) | −5.32121 | − | 18.1224i | −0.171563 | − | 0.584289i | ||||
\(963\) | 31.2473 | − | 47.1195i | 1.00693 | − | 1.51841i | ||||
\(964\) | 4.89326 | − | 0.703545i | 0.157601 | − | 0.0226596i | ||||
\(965\) | −5.78371 | + | 5.33880i | −0.186184 | + | 0.171862i | ||||
\(966\) | 21.6808 | − | 23.1391i | 0.697569 | − | 0.744489i | ||||
\(967\) | − | 14.1125i | − | 0.453827i | −0.973915 | − | 0.226913i | \(-0.927137\pi\) | ||
0.973915 | − | 0.226913i | \(-0.0728634\pi\) | |||||||
\(968\) | −1.51172 | − | 10.5142i | −0.0485885 | − | 0.337940i | ||||
\(969\) | 22.6653 | − | 6.47867i | 0.728114 | − | 0.208125i | ||||
\(970\) | −8.03614 | − | 4.81468i | −0.258025 | − | 0.154590i | ||||
\(971\) | −20.0442 | + | 23.1323i | −0.643249 | + | 0.742349i | −0.979946 | − | 0.199264i | \(-0.936145\pi\) |
0.336697 | + | 0.941613i | \(0.390690\pi\) | |||||||
\(972\) | −1.66304 | − | 15.4995i | −0.0533420 | − | 0.497146i | ||||
\(973\) | −12.8071 | + | 8.23064i | −0.410577 | + | 0.263862i | ||||
\(974\) | −15.0088 | + | 6.85429i | −0.480913 | + | 0.219626i | ||||
\(975\) | 3.92667 | − | 16.7748i | 0.125754 | − | 0.537224i | ||||
\(976\) | 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 | \(0.392580\pi\) | |||||||
\(978\) | −17.8623 | − | 28.2382i | −0.571174 | − | 0.902959i | ||||
\(979\) | 54.1809 | + | 34.8200i | 1.73163 | + | 1.11285i | ||||
\(980\) | 1.88196 | − | 16.8269i | 0.0601170 | − | 0.537516i | ||||
\(981\) | −6.48079 | − | 23.3048i | −0.206916 | − | 0.744066i | ||||
\(982\) | −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 | \(-0.0501105\pi\) | |||||||
\(984\) | −0.0378674 | + | 5.27213i | −0.00120717 | + | 0.168069i | ||||
\(985\) | 40.3502 | + | 24.1750i | 1.28567 | + | 0.770279i | ||||
\(986\) | 2.93156 | − | 6.41921i | 0.0933598 | − | 0.204429i | ||||
\(987\) | 44.4232 | − | 50.5292i | 1.41401 | − | 1.60836i | ||||
\(988\) | −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 | ||||
\(993\) | −19.0390 | − | 12.4298i | −0.604186 | − | 0.394447i | ||||
\(994\) | −14.6120 | − | 12.6614i | −0.463465 | − | 0.401595i | ||||
\(995\) | 55.3527 | − | 27.4120i | 1.75480 | − | 0.869018i | ||||
\(996\) | −3.75603 | + | 12.4601i | −0.119014 | + | 0.394813i | ||||
\(997\) | 31.2843 | − | 14.2871i | 0.990783 | − | 0.452476i | 0.146987 | − | 0.989138i | \(-0.453043\pi\) |
0.843797 | + | 0.536663i | \(0.180315\pi\) | |||||||
\(998\) | −0.917027 | − | 1.05831i | −0.0290280 | − | 0.0335001i | ||||
\(999\) | 49.3223 | + | 1.06293i | 1.56049 | + | 0.0336296i |
(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.89.3 | ✓ | 240 | |
3.2 | odd | 2 | 690.2.n.b.89.10 | yes | 240 | ||
5.4 | even | 2 | 690.2.n.b.89.22 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.a.89.15 | yes | 240 | |
23.15 | odd | 22 | inner | 690.2.n.a.659.15 | yes | 240 | |
69.38 | even | 22 | 690.2.n.b.659.22 | yes | 240 | ||
115.84 | odd | 22 | 690.2.n.b.659.10 | yes | 240 | ||
345.314 | even | 22 | inner | 690.2.n.a.659.3 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.3 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.n.a.89.15 | yes | 240 | 15.14 | odd | 2 | inner | |
690.2.n.a.659.3 | yes | 240 | 345.314 | even | 22 | inner | |
690.2.n.a.659.15 | yes | 240 | 23.15 | odd | 22 | inner | |
690.2.n.b.89.10 | yes | 240 | 3.2 | odd | 2 | ||
690.2.n.b.89.22 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.b.659.10 | yes | 240 | 115.84 | odd | 22 | ||
690.2.n.b.659.22 | yes | 240 | 69.38 | even | 22 |