Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(34,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.o (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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 34.2 | ||
Character | \(\chi\) | \(=\) | 605.34 |
Dual form | 605.2.o.a.89.2 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.64166 | + | 0.379813i | −1.86794 | + | 0.268569i | −0.981098 | − | 0.193513i | \(-0.938012\pi\) |
−0.886837 | + | 0.462082i | \(0.847103\pi\) | |||||||
\(3\) | 3.02441i | 1.74614i | 0.487592 | + | 0.873072i | \(0.337875\pi\) | ||||
−0.487592 | + | 0.873072i | \(0.662125\pi\) | |||||||
\(4\) | 4.91512 | − | 1.44321i | 2.45756 | − | 0.721605i | ||||
\(5\) | 2.12227 | + | 0.704262i | 0.949106 | + | 0.314956i | ||||
\(6\) | −1.14871 | − | 7.98946i | −0.468959 | − | 3.26168i | ||||
\(7\) | 2.30183 | − | 3.58171i | 0.870008 | − | 1.35376i | −0.0645368 | − | 0.997915i | \(-0.520557\pi\) |
0.934545 | − | 0.355844i | \(-0.115807\pi\) | |||||||
\(8\) | −7.58062 | + | 3.46195i | −2.68015 | + | 1.22399i | ||||
\(9\) | −6.14705 | −2.04902 | ||||||||
\(10\) | −5.87379 | − | 1.05436i | −1.85746 | − | 0.333417i | ||||
\(11\) | 3.13060 | − | 1.09514i | 0.943912 | − | 0.330198i | ||||
\(12\) | 4.36485 | + | 14.8653i | 1.26002 | + | 4.29125i | ||||
\(13\) | −0.00468916 | − | 0.0159698i | −0.00130054 | − | 0.00442923i | 0.958840 | − | 0.283946i | \(-0.0916438\pi\) |
−0.960141 | + | 0.279517i | \(0.909826\pi\) | |||||||
\(14\) | −4.72026 | + | 10.3359i | −1.26154 | + | 2.76239i | ||||
\(15\) | −2.12998 | + | 6.41860i | −0.549958 | + | 1.65728i | ||||
\(16\) | 10.0917 | − | 6.48553i | 2.52292 | − | 1.62138i | ||||
\(17\) | 0.0222853 | − | 0.0193103i | 0.00540498 | − | 0.00468344i | −0.652154 | − | 0.758086i | \(-0.726134\pi\) |
0.657559 | + | 0.753403i | \(0.271589\pi\) | |||||||
\(18\) | 16.2384 | − | 2.33473i | 3.82743 | − | 0.550301i | ||||
\(19\) | 4.19287 | − | 4.83883i | 0.961911 | − | 1.11010i | −0.0319520 | − | 0.999489i | \(-0.510172\pi\) |
0.993863 | − | 0.110615i | \(-0.0352822\pi\) | |||||||
\(20\) | 11.4476 | + | 0.398658i | 2.55976 | + | 0.0891427i | ||||
\(21\) | 10.8326 | + | 6.96166i | 2.36386 | + | 1.51916i | ||||
\(22\) | −7.85403 | + | 4.08204i | −1.67448 | + | 0.870294i | ||||
\(23\) | −1.60598 | − | 2.49895i | −0.334870 | − | 0.521068i | 0.632458 | − | 0.774594i | \(-0.282046\pi\) |
−0.967328 | + | 0.253526i | \(0.918410\pi\) | |||||||
\(24\) | −10.4704 | − | 22.9269i | −2.13725 | − | 4.67993i | ||||
\(25\) | 4.00803 | + | 2.98926i | 0.801606 | + | 0.597853i | ||||
\(26\) | 0.0184527 | + | 0.0404058i | 0.00361887 | + | 0.00792422i | ||||
\(27\) | − | 9.51796i | − | 1.83173i | ||||||
\(28\) | 6.14459 | − | 20.9266i | 1.16122 | − | 3.95475i | ||||
\(29\) | −0.497725 | + | 0.574406i | −0.0924253 | + | 0.106664i | −0.800078 | − | 0.599896i | \(-0.795209\pi\) |
0.707653 | + | 0.706560i | \(0.249754\pi\) | |||||||
\(30\) | 3.18880 | − | 17.7648i | 0.582193 | − | 3.24338i | ||||
\(31\) | 3.94605 | + | 1.15867i | 0.708732 | + | 0.208102i | 0.616180 | − | 0.787605i | \(-0.288679\pi\) |
0.0925519 | + | 0.995708i | \(0.470498\pi\) | |||||||
\(32\) | −11.5991 | + | 10.0506i | −2.05044 | + | 1.77672i | ||||
\(33\) | 3.31216 | + | 9.46822i | 0.576574 | + | 1.64820i | ||||
\(34\) | −0.0515359 | + | 0.0594756i | −0.00883833 | + | 0.0102000i | ||||
\(35\) | 7.40755 | − | 5.98026i | 1.25210 | − | 1.01085i | ||||
\(36\) | −30.2135 | + | 8.87148i | −5.03558 | + | 1.47858i | ||||
\(37\) | 0.849385 | − | 2.89274i | 0.139638 | − | 0.475564i | −0.859744 | − | 0.510726i | \(-0.829377\pi\) |
0.999382 | + | 0.0351624i | \(0.0111948\pi\) | |||||||
\(38\) | −9.23829 | + | 14.3751i | −1.49865 | + | 2.33194i | ||||
\(39\) | 0.0482992 | − | 0.0141819i | 0.00773406 | − | 0.00227093i | ||||
\(40\) | −18.5262 | + | 2.00844i | −2.92925 | + | 0.317563i | ||||
\(41\) | 0.690921 | + | 4.80546i | 0.107904 | + | 0.750487i | 0.969888 | + | 0.243552i | \(0.0783126\pi\) |
−0.861984 | + | 0.506935i | \(0.830778\pi\) | |||||||
\(42\) | −31.2601 | − | 14.2760i | −4.82353 | − | 2.20283i | ||||
\(43\) | −1.48282 | + | 0.677183i | −0.226128 | + | 0.103269i | −0.525258 | − | 0.850943i | \(-0.676031\pi\) |
0.299129 | + | 0.954213i | \(0.403304\pi\) | |||||||
\(44\) | 13.8067 | − | 9.90088i | 2.08145 | − | 1.49261i | ||||
\(45\) | −13.0457 | − | 4.32913i | −1.94473 | − | 0.645349i | ||||
\(46\) | 5.19159 | + | 5.99141i | 0.765458 | + | 0.883385i | ||||
\(47\) | 11.5940 | + | 1.66697i | 1.69116 | + | 0.243153i | 0.919560 | − | 0.392950i | \(-0.128545\pi\) |
0.771604 | + | 0.636103i | \(0.219455\pi\) | |||||||
\(48\) | 19.6149 | + | 30.5214i | 2.83117 | + | 4.40538i | ||||
\(49\) | −4.62235 | − | 10.1215i | −0.660335 | − | 1.44593i | ||||
\(50\) | −11.7232 | − | 6.37431i | −1.65791 | − | 0.901464i | ||||
\(51\) | 0.0584023 | + | 0.0673999i | 0.00817796 | + | 0.00943787i | ||||
\(52\) | −0.0460955 | − | 0.0717260i | −0.00639230 | − | 0.00994661i | ||||
\(53\) | 3.34391 | − | 5.20323i | 0.459322 | − | 0.714719i | −0.531917 | − | 0.846796i | \(-0.678528\pi\) |
0.991239 | + | 0.132077i | \(0.0421647\pi\) | |||||||
\(54\) | 3.61505 | + | 25.1432i | 0.491946 | + | 3.42156i | ||||
\(55\) | 7.41524 | − | 0.119425i | 0.999870 | − | 0.0161032i | ||||
\(56\) | −5.04955 | + | 35.1204i | −0.674775 | + | 4.69316i | ||||
\(57\) | 14.6346 | + | 12.6810i | 1.93840 | + | 1.67963i | ||||
\(58\) | 1.09665 | − | 1.70643i | 0.143998 | − | 0.224065i | ||||
\(59\) | −1.25764 | + | 8.74704i | −0.163730 | + | 1.13877i | 0.727794 | + | 0.685795i | \(0.240546\pi\) |
−0.891524 | + | 0.452973i | \(0.850364\pi\) | |||||||
\(60\) | −1.20571 | + | 34.6222i | −0.155656 | + | 4.46971i | ||||
\(61\) | 1.00452 | − | 6.98659i | 0.128616 | − | 0.894542i | −0.818696 | − | 0.574228i | \(-0.805302\pi\) |
0.947311 | − | 0.320314i | \(-0.103788\pi\) | |||||||
\(62\) | −10.8642 | − | 1.56204i | −1.37975 | − | 0.198379i | ||||
\(63\) | −14.1494 | + | 22.0170i | −1.78266 | + | 2.77388i | ||||
\(64\) | 11.1120 | − | 12.8239i | 1.38900 | − | 1.60299i | ||||
\(65\) | 0.00129529 | − | 0.0371946i | 0.000160661 | − | 0.00461342i | ||||
\(66\) | −12.3458 | − | 23.7538i | −1.51966 | − | 2.92389i | ||||
\(67\) | −12.8402 | + | 1.84614i | −1.56868 | + | 0.225542i | −0.871152 | − | 0.491013i | \(-0.836627\pi\) |
−0.697530 | + | 0.716556i | \(0.745718\pi\) | |||||||
\(68\) | 0.0816661 | − | 0.127075i | 0.00990347 | − | 0.0154101i | ||||
\(69\) | 7.55786 | − | 4.85714i | 0.909859 | − | 0.584731i | ||||
\(70\) | −17.2968 | + | 18.6113i | −2.06737 | + | 2.22447i | ||||
\(71\) | −7.08262 | + | 8.17378i | −0.840553 | + | 0.970050i | −0.999852 | − | 0.0171806i | \(-0.994531\pi\) |
0.159300 | + | 0.987230i | \(0.449076\pi\) | |||||||
\(72\) | 46.5985 | − | 21.2808i | 5.49168 | − | 2.50797i | ||||
\(73\) | −0.120273 | − | 0.187148i | −0.0140769 | − | 0.0219041i | 0.834144 | − | 0.551547i | \(-0.185962\pi\) |
−0.848221 | + | 0.529643i | \(0.822326\pi\) | |||||||
\(74\) | −1.14509 | + | 7.96424i | −0.133113 | + | 0.925824i | ||||
\(75\) | −9.04076 | + | 12.1219i | −1.04394 | + | 1.39972i | ||||
\(76\) | 13.6250 | − | 29.8346i | 1.56290 | − | 3.42227i | ||||
\(77\) | 3.28361 | − | 13.7337i | 0.374202 | − | 1.56510i | ||||
\(78\) | −0.122204 | + | 0.0558085i | −0.0138368 | + | 0.00631907i | ||||
\(79\) | −2.04526 | + | 4.47848i | −0.230109 | + | 0.503869i | −0.989102 | − | 0.147230i | \(-0.952964\pi\) |
0.758993 | + | 0.651099i | \(0.225692\pi\) | |||||||
\(80\) | 25.9847 | − | 6.65683i | 2.90518 | − | 0.744256i | ||||
\(81\) | 10.3451 | 1.14945 | ||||||||
\(82\) | −3.65036 | − | 12.4320i | −0.403115 | − | 1.37288i | ||||
\(83\) | −4.63523 | + | 7.21256i | −0.508782 | + | 0.791681i | −0.996697 | − | 0.0812106i | \(-0.974121\pi\) |
0.487915 | + | 0.872891i | \(0.337758\pi\) | |||||||
\(84\) | 63.2904 | + | 18.5838i | 6.90555 | + | 2.02765i | ||||
\(85\) | 0.0608949 | − | 0.0252870i | 0.00660498 | − | 0.00274276i | ||||
\(86\) | 3.65991 | − | 2.35208i | 0.394658 | − | 0.253631i | ||||
\(87\) | −1.73724 | − | 1.50533i | −0.186251 | − | 0.161388i | ||||
\(88\) | −19.9406 | + | 19.1399i | −2.12567 | + | 2.04032i | ||||
\(89\) | −4.83675 | − | 5.58190i | −0.512694 | − | 0.591680i | 0.439092 | − | 0.898442i | \(-0.355300\pi\) |
−0.951786 | + | 0.306762i | \(0.900755\pi\) | |||||||
\(90\) | 36.1065 | + | 6.48118i | 3.80596 | + | 0.683176i | ||||
\(91\) | −0.0679928 | − | 0.0199645i | −0.00712759 | − | 0.00209285i | ||||
\(92\) | −11.5001 | − | 9.96489i | −1.19897 | − | 1.03891i | ||||
\(93\) | −3.50428 | + | 11.9345i | −0.363377 | + | 1.23755i | ||||
\(94\) | −31.2606 | −3.22429 | ||||||||
\(95\) | 12.3062 | − | 7.31641i | 1.26259 | − | 0.750648i | ||||
\(96\) | −30.3973 | − | 35.0803i | −3.10241 | − | 3.58037i | ||||
\(97\) | −7.70725 | + | 3.51978i | −0.782552 | + | 0.357380i | −0.766296 | − | 0.642488i | \(-0.777902\pi\) |
−0.0162567 | + | 0.999868i | \(0.505175\pi\) | |||||||
\(98\) | 16.0550 | + | 24.9820i | 1.62180 | + | 2.52356i | ||||
\(99\) | −19.2440 | + | 6.73191i | −1.93409 | + | 0.676582i | ||||
\(100\) | 24.0141 | + | 8.90816i | 2.40141 | + | 0.890816i | ||||
\(101\) | 0.118357 | − | 0.823193i | 0.0117770 | − | 0.0819107i | −0.983085 | − | 0.183148i | \(-0.941371\pi\) |
0.994862 | + | 0.101238i | \(0.0322802\pi\) | |||||||
\(102\) | −0.179878 | − | 0.155866i | −0.0178106 | − | 0.0154330i | ||||
\(103\) | 10.3631 | − | 1.48999i | 1.02111 | − | 0.146813i | 0.388632 | − | 0.921393i | \(-0.372948\pi\) |
0.632476 | + | 0.774580i | \(0.282039\pi\) | |||||||
\(104\) | 0.0908335 | + | 0.104827i | 0.00890695 | + | 0.0102792i | ||||
\(105\) | 18.0867 | + | 22.4035i | 1.76509 | + | 2.18635i | ||||
\(106\) | −6.85722 | + | 15.0152i | −0.666033 | + | 1.45841i | ||||
\(107\) | 0.123160 | + | 0.0562454i | 0.0119064 | + | 0.00543745i | 0.421359 | − | 0.906894i | \(-0.361553\pi\) |
−0.409453 | + | 0.912331i | \(0.634280\pi\) | |||||||
\(108\) | −13.7364 | − | 46.7819i | −1.32179 | − | 4.50159i | ||||
\(109\) | −11.6699 | + | 3.42659i | −1.11777 | + | 0.328207i | −0.787891 | − | 0.615815i | \(-0.788827\pi\) |
−0.329881 | + | 0.944023i | \(0.607009\pi\) | |||||||
\(110\) | −19.5432 | + | 3.13188i | −1.86337 | + | 0.298613i | ||||
\(111\) | 8.74883 | + | 2.56889i | 0.830402 | + | 0.243828i | ||||
\(112\) | − | 51.0740i | − | 4.82604i | ||||||
\(113\) | 0.460346 | − | 0.210233i | 0.0433057 | − | 0.0197771i | −0.393644 | − | 0.919263i | \(-0.628786\pi\) |
0.436950 | + | 0.899486i | \(0.356059\pi\) | |||||||
\(114\) | −43.4761 | − | 27.9404i | −4.07191 | − | 2.61686i | ||||
\(115\) | −1.64840 | − | 6.43448i | −0.153714 | − | 0.600018i | ||||
\(116\) | −1.61739 | + | 3.54159i | −0.150171 | + | 0.328829i | ||||
\(117\) | 0.0288245 | + | 0.0981672i | 0.00266482 | + | 0.00907556i | ||||
\(118\) | − | 23.5844i | − | 2.17112i | ||||||
\(119\) | −0.0178671 | − | 0.124269i | −0.00163788 | − | 0.0113917i | ||||
\(120\) | −6.07435 | − | 56.0309i | −0.554510 | − | 5.11490i | ||||
\(121\) | 8.60132 | − | 6.85692i | 0.781938 | − | 0.623356i | ||||
\(122\) | 18.8377i | 1.70549i | ||||||||
\(123\) | −14.5337 | + | 2.08963i | −1.31046 | + | 0.188415i | ||||
\(124\) | 21.0675 | 1.89192 | ||||||||
\(125\) | 6.40088 | + | 9.16672i | 0.572512 | + | 0.819896i | ||||
\(126\) | 29.0157 | − | 63.5354i | 2.58492 | − | 5.66019i | ||||
\(127\) | −11.1519 | + | 1.60340i | −0.989573 | + | 0.142279i | −0.618045 | − | 0.786143i | \(-0.712075\pi\) |
−0.371528 | + | 0.928422i | \(0.621166\pi\) | |||||||
\(128\) | −7.88814 | + | 12.2742i | −0.697220 | + | 1.08489i | ||||
\(129\) | −2.04808 | − | 4.48466i | −0.180323 | − | 0.394853i | ||||
\(130\) | 0.0107053 | + | 0.0987473i | 0.000938915 | + | 0.00866071i | ||||
\(131\) | −16.2250 | − | 4.76410i | −1.41759 | − | 0.416241i | −0.518902 | − | 0.854834i | \(-0.673659\pi\) |
−0.898686 | + | 0.438592i | \(0.855477\pi\) | |||||||
\(132\) | 29.9443 | + | 41.7573i | 2.60632 | + | 3.63450i | ||||
\(133\) | −7.68004 | − | 26.1558i | −0.665944 | − | 2.26800i | ||||
\(134\) | 33.2183 | − | 9.75377i | 2.86962 | − | 0.842597i | ||||
\(135\) | 6.70314 | − | 20.1997i | 0.576915 | − | 1.73851i | ||||
\(136\) | −0.102085 | + | 0.223535i | −0.00875372 | + | 0.0191680i | ||||
\(137\) | −6.09834 | − | 9.48920i | −0.521016 | − | 0.810717i | 0.476643 | − | 0.879097i | \(-0.341853\pi\) |
−0.997659 | + | 0.0683795i | \(0.978217\pi\) | |||||||
\(138\) | −18.1205 | + | 15.7015i | −1.54252 | + | 1.33660i | ||||
\(139\) | 2.07584 | + | 14.4378i | 0.176070 | + | 1.22460i | 0.865748 | + | 0.500480i | \(0.166843\pi\) |
−0.689678 | + | 0.724116i | \(0.742248\pi\) | |||||||
\(140\) | 27.7782 | − | 40.0843i | 2.34769 | − | 3.38774i | ||||
\(141\) | −5.04160 | + | 35.0651i | −0.424580 | + | 2.95302i | ||||
\(142\) | 15.6054 | − | 24.2824i | 1.30957 | − | 2.03774i | ||||
\(143\) | −0.0321691 | − | 0.0448598i | −0.00269012 | − | 0.00375136i | ||||
\(144\) | −62.0340 | + | 39.8669i | −5.16950 | + | 3.32224i | ||||
\(145\) | −1.46084 | + | 0.868513i | −0.121316 | + | 0.0721261i | ||||
\(146\) | 0.388802 | + | 0.448701i | 0.0321775 | + | 0.0371348i | ||||
\(147\) | 30.6116 | − | 13.9799i | 2.52481 | − | 1.15304i | ||||
\(148\) | − | 15.4440i | − | 1.26949i | ||||||
\(149\) | −5.53258 | − | 1.62451i | −0.453246 | − | 0.133085i | 0.0471383 | − | 0.998888i | \(-0.484990\pi\) |
−0.500385 | + | 0.865803i | \(0.666808\pi\) | |||||||
\(150\) | 19.2785 | − | 35.4558i | 1.57409 | − | 2.89495i | ||||
\(151\) | −5.76272 | − | 1.69209i | −0.468964 | − | 0.137700i | 0.0387083 | − | 0.999251i | \(-0.487676\pi\) |
−0.507672 | + | 0.861550i | \(0.669494\pi\) | |||||||
\(152\) | −15.0328 | + | 51.1969i | −1.21932 | + | 4.15262i | ||||
\(153\) | −0.136989 | + | 0.118702i | −0.0110749 | + | 0.00959645i | ||||
\(154\) | −3.45791 | + | 37.5270i | −0.278647 | + | 3.02401i | ||||
\(155\) | 7.55857 | + | 5.23805i | 0.607119 | + | 0.420730i | ||||
\(156\) | 0.216929 | − | 0.139412i | 0.0173682 | − | 0.0111619i | ||||
\(157\) | 2.15557 | + | 7.34120i | 0.172033 | + | 0.585891i | 0.999696 | + | 0.0246653i | \(0.00785201\pi\) |
−0.827663 | + | 0.561226i | \(0.810330\pi\) | |||||||
\(158\) | 3.70188 | − | 12.6074i | 0.294506 | − | 1.00299i | ||||
\(159\) | 15.7367 | + | 10.1134i | 1.24800 | + | 0.802042i | ||||
\(160\) | −31.6946 | + | 13.1614i | −2.50568 | + | 1.04050i | ||||
\(161\) | −12.6472 | −0.996740 | ||||||||
\(162\) | −27.3281 | + | 3.92919i | −2.14710 | + | 0.308707i | ||||
\(163\) | 0.312242 | + | 0.142596i | 0.0244566 | + | 0.0111690i | 0.427606 | − | 0.903965i | \(-0.359357\pi\) |
−0.403149 | + | 0.915134i | \(0.632084\pi\) | |||||||
\(164\) | 10.3312 | + | 22.6223i | 0.806735 | + | 1.76650i | ||||
\(165\) | 0.361189 | + | 22.4267i | 0.0281185 | + | 1.74592i | ||||
\(166\) | 9.50527 | − | 20.8136i | 0.737752 | − | 1.61545i | ||||
\(167\) | 9.55110 | − | 8.27608i | 0.739086 | − | 0.640422i | −0.201690 | − | 0.979449i | \(-0.564643\pi\) |
0.940776 | + | 0.339027i | \(0.110098\pi\) | |||||||
\(168\) | −106.219 | − | 15.2719i | −8.19494 | − | 1.17825i | ||||
\(169\) | 10.9361 | − | 7.02818i | 0.841236 | − | 0.540629i | ||||
\(170\) | −0.151259 | + | 0.0899282i | −0.0116011 | + | 0.00689718i | ||||
\(171\) | −25.7738 | + | 29.7446i | −1.97097 | + | 2.27462i | ||||
\(172\) | −6.31093 | + | 5.46846i | −0.481204 | + | 0.416966i | ||||
\(173\) | −6.47279 | − | 10.0719i | −0.492117 | − | 0.765749i | 0.503017 | − | 0.864276i | \(-0.332223\pi\) |
−0.995134 | + | 0.0985275i | \(0.968587\pi\) | |||||||
\(174\) | 5.16093 | + | 3.31673i | 0.391249 | + | 0.251441i | ||||
\(175\) | 19.9325 | − | 7.47484i | 1.50675 | − | 0.565045i | ||||
\(176\) | 24.4904 | − | 31.3554i | 1.84604 | − | 2.36351i | ||||
\(177\) | −26.4546 | − | 3.80360i | −1.98845 | − | 0.285896i | ||||
\(178\) | 14.8971 | + | 12.9084i | 1.11659 | + | 0.967527i | ||||
\(179\) | 0.00470314 | + | 0.00302252i | 0.000351529 | + | 0.000225914i | 0.540817 | − | 0.841141i | \(-0.318115\pi\) |
−0.540465 | + | 0.841366i | \(0.681752\pi\) | |||||||
\(180\) | −70.3689 | − | 2.45057i | −5.24499 | − | 0.182655i | ||||
\(181\) | −0.778861 | + | 5.41710i | −0.0578923 | + | 0.402650i | 0.940185 | + | 0.340665i | \(0.110652\pi\) |
−0.998077 | + | 0.0619849i | \(0.980257\pi\) | |||||||
\(182\) | 0.187197 | + | 0.0269148i | 0.0138759 | + | 0.00199506i | ||||
\(183\) | 21.1303 | + | 3.03808i | 1.56200 | + | 0.224581i | ||||
\(184\) | 20.8256 | + | 13.3838i | 1.53528 | + | 0.986667i | ||||
\(185\) | 3.83987 | − | 5.54098i | 0.282313 | − | 0.407381i | ||||
\(186\) | 4.72424 | − | 32.8578i | 0.346398 | − | 2.40925i | ||||
\(187\) | 0.0486188 | − | 0.0848586i | 0.00355536 | − | 0.00620547i | ||||
\(188\) | 59.3919 | − | 8.53926i | 4.33160 | − | 0.622790i | ||||
\(189\) | −34.0906 | − | 21.9087i | −2.47973 | − | 1.59362i | ||||
\(190\) | −29.7299 | + | 24.0015i | −2.15684 | + | 1.74125i | ||||
\(191\) | −7.84090 | − | 9.04888i | −0.567347 | − | 0.654754i | 0.397488 | − | 0.917607i | \(-0.369882\pi\) |
−0.964836 | + | 0.262854i | \(0.915336\pi\) | |||||||
\(192\) | 38.7848 | + | 33.6072i | 2.79905 | + | 2.42539i | ||||
\(193\) | 13.3091 | − | 6.07806i | 0.958009 | − | 0.437508i | 0.125853 | − | 0.992049i | \(-0.459833\pi\) |
0.832157 | + | 0.554541i | \(0.187106\pi\) | |||||||
\(194\) | 19.0231 | − | 12.2254i | 1.36578 | − | 0.877731i | ||||
\(195\) | 0.112492 | + | 0.00391748i | 0.00805569 | + | 0.000280536i | ||||
\(196\) | −37.3269 | − | 43.0775i | −2.66620 | − | 3.07696i | ||||
\(197\) | 1.32978 | + | 0.607290i | 0.0947429 | + | 0.0432676i | 0.462223 | − | 0.886764i | \(-0.347052\pi\) |
−0.367480 | + | 0.930031i | \(0.619779\pi\) | |||||||
\(198\) | 48.2791 | − | 25.0925i | 3.43105 | − | 1.78325i | ||||
\(199\) | 11.5031 | + | 25.1884i | 0.815436 | + | 1.78556i | 0.582011 | + | 0.813181i | \(0.302266\pi\) |
0.233424 | + | 0.972375i | \(0.425007\pi\) | |||||||
\(200\) | −40.7321 | − | 8.78487i | −2.88019 | − | 0.621184i | ||||
\(201\) | −5.58350 | − | 38.8341i | −0.393829 | − | 2.73914i | ||||
\(202\) | 2.21955i | 0.156167i | ||||||||
\(203\) | 0.911678 | + | 3.10489i | 0.0639873 | + | 0.217921i | ||||
\(204\) | 0.384327 | + | 0.246992i | 0.0269082 | + | 0.0172929i | ||||
\(205\) | −1.91799 | + | 10.6851i | −0.133958 | + | 0.746277i | ||||
\(206\) | −26.8099 | + | 7.87210i | −1.86794 | + | 0.548475i | ||||
\(207\) | 9.87204 | + | 15.3612i | 0.686154 | + | 1.06768i | ||||
\(208\) | −0.150894 | − | 0.130750i | −0.0104626 | − | 0.00906591i | ||||
\(209\) | 7.82699 | − | 19.7403i | 0.541404 | − | 1.36546i | ||||
\(210\) | −56.2881 | − | 52.3127i | −3.88425 | − | 3.60992i | ||||
\(211\) | −8.26219 | − | 2.42600i | −0.568793 | − | 0.167013i | −0.0153239 | − | 0.999883i | \(-0.504878\pi\) |
−0.553469 | + | 0.832870i | \(0.686696\pi\) | |||||||
\(212\) | 8.92638 | − | 30.4005i | 0.613067 | − | 2.08791i | ||||
\(213\) | −24.7209 | − | 21.4208i | −1.69385 | − | 1.46773i | ||||
\(214\) | −0.346710 | − | 0.101803i | −0.0237006 | − | 0.00695913i | ||||
\(215\) | −3.62386 | + | 0.392866i | −0.247145 | + | 0.0267932i | ||||
\(216\) | 32.9508 | + | 72.1521i | 2.24202 | + | 4.90933i | ||||
\(217\) | 13.2331 | − | 11.4666i | 0.898323 | − | 0.778402i | ||||
\(218\) | 29.5264 | − | 13.4842i | 1.99978 | − | 0.913268i | ||||
\(219\) | 0.566013 | − | 0.363755i | 0.0382476 | − | 0.0245803i | ||||
\(220\) | 36.2744 | − | 11.2887i | 2.44562 | − | 0.761086i | ||||
\(221\) | −0.000412882 | 0 | 0.000265343i | −2.77734e−5 | 0 | 1.78489e-5i | ||||
\(222\) | −24.0871 | − | 3.46321i | −1.61662 | − | 0.232435i | ||||
\(223\) | 18.1390 | + | 15.7175i | 1.21468 | + | 1.05252i | 0.997071 | + | 0.0764876i | \(0.0243706\pi\) |
0.217607 | + | 0.976036i | \(0.430175\pi\) | |||||||
\(224\) | 9.29949 | + | 64.6794i | 0.621348 | + | 4.32157i | ||||
\(225\) | −24.6376 | − | 18.3752i | −1.64250 | − | 1.22501i | ||||
\(226\) | −1.13623 | + | 0.730210i | −0.0755808 | + | 0.0485728i | ||||
\(227\) | 16.2378 | + | 7.41554i | 1.07774 | + | 0.492187i | 0.873545 | − | 0.486744i | \(-0.161816\pi\) |
0.204194 | + | 0.978931i | \(0.434543\pi\) | |||||||
\(228\) | 90.2322 | + | 41.2076i | 5.97577 | + | 2.72904i | ||||
\(229\) | 24.8879 | − | 7.30776i | 1.64464 | − | 0.482910i | 0.677156 | − | 0.735839i | \(-0.263212\pi\) |
0.967485 | + | 0.252929i | \(0.0813938\pi\) | |||||||
\(230\) | 6.79841 | + | 16.3716i | 0.448274 | + | 1.07951i | ||||
\(231\) | 41.5364 | + | 9.93097i | 2.73290 | + | 0.653410i | ||||
\(232\) | 1.78450 | − | 6.07746i | 0.117158 | − | 0.399005i | ||||
\(233\) | 15.8561i | 1.03877i | 0.854540 | + | 0.519385i | \(0.173839\pi\) | ||||
−0.854540 | + | 0.519385i | \(0.826161\pi\) | |||||||
\(234\) | −0.113430 | − | 0.248376i | −0.00741513 | − | 0.0162369i | ||||
\(235\) | 23.4317 | + | 11.7030i | 1.52851 | + | 0.763420i | ||||
\(236\) | 6.44239 | + | 44.8078i | 0.419364 | + | 2.91674i | ||||
\(237\) | −13.5448 | − | 6.18569i | −0.879827 | − | 0.401804i | ||||
\(238\) | 0.0943977 | + | 0.321489i | 0.00611889 | + | 0.0208390i | ||||
\(239\) | −27.4506 | −1.77563 | −0.887816 | − | 0.460199i | \(-0.847778\pi\) | ||||
−0.887816 | + | 0.460199i | \(0.847778\pi\) | |||||||
\(240\) | 20.1330 | + | 78.5885i | 1.29958 | + | 5.07287i | ||||
\(241\) | 1.58826 | 0.102309 | 0.0511543 | − | 0.998691i | \(-0.483710\pi\) | ||||
0.0511543 | + | 0.998691i | \(0.483710\pi\) | |||||||
\(242\) | −20.1174 | + | 21.3805i | −1.29320 | + | 1.37439i | ||||
\(243\) | 2.73382i | 0.175375i | ||||||||
\(244\) | −5.14578 | − | 35.7897i | −0.329425 | − | 2.29120i | ||||
\(245\) | −2.68164 | − | 24.7359i | −0.171324 | − | 1.58032i | ||||
\(246\) | 37.5994 | − | 11.0402i | 2.39725 | − | 0.703896i | ||||
\(247\) | −0.0969363 | − | 0.0442693i | −0.00616791 | − | 0.00281679i | ||||
\(248\) | −33.9248 | + | 4.87765i | −2.15423 | + | 0.309731i | ||||
\(249\) | −21.8137 | − | 14.0188i | −1.38239 | − | 0.888407i | ||||
\(250\) | −20.3906 | − | 21.7842i | −1.28961 | − | 1.37775i | ||||
\(251\) | −19.1084 | −1.20611 | −0.603054 | − | 0.797700i | \(-0.706050\pi\) | ||||
−0.603054 | + | 0.797700i | \(0.706050\pi\) | |||||||
\(252\) | −37.7711 | + | 128.637i | −2.37936 | + | 8.10334i | ||||
\(253\) | −7.76440 | − | 6.06445i | −0.488143 | − | 0.381268i | ||||
\(254\) | 28.8506 | − | 8.47129i | 1.81025 | − | 0.531536i | ||||
\(255\) | 0.0764781 | + | 0.184171i | 0.00478925 | + | 0.0115332i | ||||
\(256\) | 2.07795 | − | 4.55009i | 0.129872 | − | 0.284380i | ||||
\(257\) | −23.7802 | − | 10.8600i | −1.48337 | − | 0.677431i | −0.501181 | − | 0.865342i | \(-0.667101\pi\) |
−0.982186 | + | 0.187911i | \(0.939828\pi\) | |||||||
\(258\) | 7.11366 | + | 11.0691i | 0.442877 | + | 0.689130i | ||||
\(259\) | −8.40583 | − | 9.70084i | −0.522313 | − | 0.602781i | ||||
\(260\) | −0.0473130 | − | 0.184685i | −0.00293423 | − | 0.0114537i | ||||
\(261\) | 3.05954 | − | 3.53090i | 0.189381 | − | 0.218557i | ||||
\(262\) | 44.6705 | + | 6.42265i | 2.75975 | + | 0.396792i | ||||
\(263\) | −12.3819 | + | 19.2666i | −0.763500 | + | 1.18803i | 0.213947 | + | 0.976845i | \(0.431368\pi\) |
−0.977446 | + | 0.211184i | \(0.932268\pi\) | |||||||
\(264\) | −57.8868 | − | 60.3084i | −3.56269 | − | 3.71173i | ||||
\(265\) | 10.7611 | − | 8.68765i | 0.661050 | − | 0.533678i | ||||
\(266\) | 30.2224 | + | 66.1778i | 1.85305 | + | 4.05762i | ||||
\(267\) | 16.8820 | − | 14.6283i | 1.03316 | − | 0.895237i | ||||
\(268\) | −60.4468 | + | 27.6051i | −3.69238 | + | 1.68625i | ||||
\(269\) | 15.8559 | 0.966750 | 0.483375 | − | 0.875413i | \(-0.339411\pi\) | ||||
0.483375 | + | 0.875413i | \(0.339411\pi\) | |||||||
\(270\) | −10.0353 | + | 55.9065i | −0.610730 | + | 3.40236i | ||||
\(271\) | 0.0810803 | − | 0.0935717i | 0.00492528 | − | 0.00568407i | −0.753282 | − | 0.657698i | \(-0.771530\pi\) |
0.758207 | + | 0.652014i | \(0.226076\pi\) | |||||||
\(272\) | 0.0996585 | − | 0.339406i | 0.00604268 | − | 0.0205795i | ||||
\(273\) | 0.0603808 | − | 0.205638i | 0.00365441 | − | 0.0124458i | ||||
\(274\) | 19.7139 | + | 22.7510i | 1.19096 | + | 1.37444i | ||||
\(275\) | 15.8212 | + | 4.96882i | 0.954055 | + | 0.299631i | ||||
\(276\) | 30.1379 | − | 34.7810i | 1.81409 | − | 2.09357i | ||||
\(277\) | 4.04203 | + | 6.28952i | 0.242862 | + | 0.377901i | 0.941190 | − | 0.337877i | \(-0.109709\pi\) |
−0.698328 | + | 0.715778i | \(0.746072\pi\) | |||||||
\(278\) | −10.9673 | − | 37.3512i | −0.657776 | − | 2.24018i | ||||
\(279\) | −24.2566 | − | 7.12237i | −1.45220 | − | 0.426405i | ||||
\(280\) | −35.4505 | + | 70.9787i | −2.11857 | + | 4.24179i | ||||
\(281\) | 19.6583 | − | 5.77220i | 1.17272 | − | 0.344340i | 0.363354 | − | 0.931651i | \(-0.381632\pi\) |
0.809361 | + | 0.587311i | \(0.199813\pi\) | |||||||
\(282\) | − | 94.5449i | − | 5.63007i | ||||||
\(283\) | −7.67581 | + | 1.10361i | −0.456279 | + | 0.0656031i | −0.366623 | − | 0.930370i | \(-0.619486\pi\) |
−0.0896566 | + | 0.995973i | \(0.528577\pi\) | |||||||
\(284\) | −23.0155 | + | 50.3968i | −1.36572 | + | 2.99050i | ||||
\(285\) | 22.1278 | + | 37.2190i | 1.31074 | + | 2.20466i | ||||
\(286\) | 0.102018 | + | 0.106286i | 0.00603246 | + | 0.00628482i | ||||
\(287\) | 18.8022 | + | 8.58666i | 1.10986 | + | 0.506855i | ||||
\(288\) | 71.3000 | − | 61.7818i | 4.20140 | − | 3.64053i | ||||
\(289\) | −2.41923 | + | 16.8261i | −0.142308 | + | 0.989771i | ||||
\(290\) | 3.52916 | − | 2.84916i | 0.207240 | − | 0.167308i | ||||
\(291\) | −10.6453 | − | 23.3099i | −0.624036 | − | 1.36645i | ||||
\(292\) | −0.861250 | − | 0.746278i | −0.0504009 | − | 0.0436726i | ||||
\(293\) | −15.6257 | + | 13.5397i | −0.912862 | + | 0.790999i | −0.978372 | − | 0.206853i | \(-0.933678\pi\) |
0.0655104 | + | 0.997852i | \(0.479132\pi\) | |||||||
\(294\) | −75.5558 | + | 48.5568i | −4.40650 | + | 2.83189i | ||||
\(295\) | −8.82925 | + | 17.6779i | −0.514059 | + | 1.02924i | ||||
\(296\) | 3.57567 | + | 24.8693i | 0.207831 | + | 1.44550i | ||||
\(297\) | −10.4235 | − | 29.7969i | −0.604835 | − | 1.72899i | ||||
\(298\) | 15.2322 | + | 2.19006i | 0.882377 | + | 0.126867i | ||||
\(299\) | −0.0323771 | + | 0.0373652i | −0.00187242 | + | 0.00216088i | ||||
\(300\) | −26.9419 | + | 72.6284i | −1.55549 | + | 4.19320i | ||||
\(301\) | −0.987728 | + | 6.86980i | −0.0569317 | + | 0.395969i | ||||
\(302\) | 15.8658 | + | 2.28116i | 0.912976 | + | 0.131266i | ||||
\(303\) | 2.48967 | + | 0.357961i | 0.143028 | + | 0.0205643i | ||||
\(304\) | 10.9307 | − | 76.0250i | 0.626921 | − | 4.36033i | ||||
\(305\) | 7.05225 | − | 14.1200i | 0.403811 | − | 0.808507i | ||||
\(306\) | 0.316794 | − | 0.365599i | 0.0181099 | − | 0.0208999i | ||||
\(307\) | 14.8699 | + | 2.13798i | 0.848673 | + | 0.122021i | 0.552910 | − | 0.833241i | \(-0.313517\pi\) |
0.295762 | + | 0.955262i | \(0.404426\pi\) | |||||||
\(308\) | −3.68134 | − | 72.2419i | −0.209764 | − | 4.11636i | ||||
\(309\) | 4.50634 | + | 31.3423i | 0.256357 | + | 1.78300i | ||||
\(310\) | −21.9566 | − | 10.9663i | −1.24705 | − | 0.622844i | ||||
\(311\) | 3.45640 | − | 2.22130i | 0.195995 | − | 0.125958i | −0.438963 | − | 0.898505i | \(-0.644654\pi\) |
0.634957 | + | 0.772547i | \(0.281018\pi\) | |||||||
\(312\) | −0.317041 | + | 0.274718i | −0.0179489 | + | 0.0155528i | ||||
\(313\) | 13.9771 | + | 12.1112i | 0.790033 | + | 0.684568i | 0.953304 | − | 0.302014i | \(-0.0976588\pi\) |
−0.163270 | + | 0.986581i | \(0.552204\pi\) | |||||||
\(314\) | −8.48257 | − | 18.5742i | −0.478699 | − | 1.04820i | ||||
\(315\) | −45.5346 | + | 36.7609i | −2.56558 | + | 2.07124i | ||||
\(316\) | −3.58928 | + | 24.9640i | −0.201913 | + | 1.40434i | ||||
\(317\) | −13.4223 | + | 11.6305i | −0.753870 | + | 0.653232i | −0.944530 | − | 0.328424i | \(-0.893483\pi\) |
0.190660 | + | 0.981656i | \(0.438937\pi\) | |||||||
\(318\) | −45.4122 | − | 20.7391i | −2.54659 | − | 1.16299i | ||||
\(319\) | −0.929122 | + | 2.34332i | −0.0520209 | + | 0.131201i | ||||
\(320\) | 32.6140 | − | 19.3900i | 1.82318 | − | 1.08394i | ||||
\(321\) | −0.170109 | + | 0.372487i | −0.00949457 | + | 0.0207902i | ||||
\(322\) | 33.4096 | − | 4.80358i | 1.86185 | − | 0.267693i | ||||
\(323\) | − | 0.188801i | − | 0.0105052i | ||||||
\(324\) | 50.8472 | − | 14.9301i | 2.82485 | − | 0.829450i | ||||
\(325\) | 0.0289437 | − | 0.0780246i | 0.00160551 | − | 0.00432802i | ||||
\(326\) | −0.878995 | − | 0.258096i | −0.0486831 | − | 0.0142946i | ||||
\(327\) | −10.3634 | − | 35.2945i | −0.573097 | − | 1.95179i | ||||
\(328\) | −21.8739 | − | 34.0365i | −1.20778 | − | 1.87935i | ||||
\(329\) | 32.6581 | − | 37.6894i | 1.80050 | − | 2.07789i | ||||
\(330\) | −9.47210 | − | 59.1065i | −0.521422 | − | 3.25371i | ||||
\(331\) | 5.04467 | + | 5.82186i | 0.277280 | + | 0.319999i | 0.877259 | − | 0.480017i | \(-0.159370\pi\) |
−0.599979 | + | 0.800016i | \(0.704824\pi\) | |||||||
\(332\) | −12.3735 | + | 42.1402i | −0.679082 | + | 2.31274i | ||||
\(333\) | −5.22121 | + | 17.7818i | −0.286121 | + | 0.974438i | ||||
\(334\) | −22.0874 | + | 25.4902i | −1.20857 | + | 1.39476i | ||||
\(335\) | −28.5505 | − | 5.12487i | −1.55988 | − | 0.280001i | ||||
\(336\) | 154.469 | 8.42696 | ||||||||
\(337\) | −26.0723 | + | 11.9068i | −1.42025 | + | 0.648607i | −0.969735 | − | 0.244161i | \(-0.921487\pi\) |
−0.450517 | + | 0.892768i | \(0.648760\pi\) | |||||||
\(338\) | −26.2200 | + | 22.7197i | −1.42618 | + | 1.23579i | ||||
\(339\) | 0.635831 | + | 1.39228i | 0.0345336 | + | 0.0756180i | ||||
\(340\) | 0.262811 | − | 0.212173i | 0.0142529 | − | 0.0115067i | ||||
\(341\) | 13.6224 | − | 0.694178i | 0.737695 | − | 0.0375919i | ||||
\(342\) | 56.7882 | − | 88.3642i | 3.07076 | − | 4.77819i | ||||
\(343\) | −17.3925 | − | 2.50066i | −0.939105 | − | 0.135023i | ||||
\(344\) | 8.89635 | − | 10.2669i | 0.479659 | − | 0.553556i | ||||
\(345\) | 19.4605 | − | 4.98543i | 1.04772 | − | 0.268407i | ||||
\(346\) | 20.9243 | + | 24.1479i | 1.12490 | + | 1.29820i | ||||
\(347\) | −8.77778 | − | 13.6585i | −0.471216 | − | 0.733226i | 0.521559 | − | 0.853215i | \(-0.325351\pi\) |
−0.992775 | + | 0.119989i | \(0.961714\pi\) | |||||||
\(348\) | −10.7112 | − | 4.89165i | −0.574182 | − | 0.262220i | ||||
\(349\) | 8.78574 | − | 19.2381i | 0.470290 | − | 1.02979i | −0.514730 | − | 0.857352i | \(-0.672108\pi\) |
0.985020 | − | 0.172439i | \(-0.0551648\pi\) | |||||||
\(350\) | −49.8157 | + | 27.3166i | −2.66276 | + | 1.46013i | ||||
\(351\) | −0.152000 | + | 0.0446312i | −0.00811316 | + | 0.00238224i | ||||
\(352\) | −25.3051 | + | 44.1672i | −1.34877 | + | 2.35412i | ||||
\(353\) | 2.69248 | − | 9.16974i | 0.143306 | − | 0.488056i | −0.856289 | − | 0.516496i | \(-0.827236\pi\) |
0.999595 | + | 0.0284406i | \(0.00905414\pi\) | |||||||
\(354\) | 71.3288 | 3.79108 | ||||||||
\(355\) | −20.7877 | + | 12.3589i | −1.10330 | + | 0.655944i | ||||
\(356\) | −31.8290 | − | 20.4553i | −1.68694 | − | 1.08413i | ||||
\(357\) | 0.375839 | − | 0.0540375i | 0.0198915 | − | 0.00285997i | ||||
\(358\) | −0.0135721 | − | 0.00619816i | −0.000717307 | − | 0.000327583i | ||||
\(359\) | 13.5363 | − | 3.97462i | 0.714419 | − | 0.209772i | 0.0957289 | − | 0.995407i | \(-0.469482\pi\) |
0.618690 | + | 0.785635i | \(0.287664\pi\) | |||||||
\(360\) | 113.882 | − | 12.3460i | 6.00209 | − | 0.650691i | ||||
\(361\) | −3.13015 | − | 21.7706i | −0.164745 | − | 1.14582i | ||||
\(362\) | − | 14.6059i | − | 0.767672i | ||||||
\(363\) | 20.7381 | + | 26.0139i | 1.08847 | + | 1.36538i | ||||
\(364\) | −0.363006 | −0.0190267 | ||||||||
\(365\) | −0.123450 | − | 0.481883i | −0.00646166 | − | 0.0252229i | ||||
\(366\) | −56.9730 | −2.97803 | ||||||||
\(367\) | 1.23991 | + | 4.22274i | 0.0647226 | + | 0.220425i | 0.985503 | − | 0.169655i | \(-0.0542654\pi\) |
−0.920781 | + | 0.390080i | \(0.872447\pi\) | |||||||
\(368\) | −32.4141 | − | 14.8030i | −1.68970 | − | 0.771660i | ||||
\(369\) | −4.24713 | − | 29.5394i | −0.221097 | − | 1.53776i | ||||
\(370\) | −8.03909 | + | 16.0958i | −0.417932 | + | 0.836781i | ||||
\(371\) | −10.9394 | − | 23.9539i | −0.567944 | − | 1.24362i | ||||
\(372\) | 63.7168i | 3.30356i | ||||||||
\(373\) | −3.09640 | + | 10.5454i | −0.160326 | + | 0.546019i | 0.839670 | + | 0.543097i | \(0.182748\pi\) |
−0.999996 | + | 0.00292230i | \(0.999070\pi\) | |||||||
\(374\) | −0.0962039 | + | 0.242633i | −0.00497459 | + | 0.0125463i | ||||
\(375\) | −27.7239 | + | 19.3589i | −1.43166 | + | 0.999688i | ||||
\(376\) | −93.6610 | + | 27.5014i | −4.83020 | + | 1.41827i | ||||
\(377\) | 0.0115071 | + | 0.00525510i | 0.000592644 | + | 0.000270651i | ||||
\(378\) | 98.3770 | + | 44.9273i | 5.05996 | + | 2.31081i | ||||
\(379\) | 1.06108 | − | 0.681917i | 0.0545042 | − | 0.0350277i | −0.513105 | − | 0.858326i | \(-0.671505\pi\) |
0.567609 | + | 0.823298i | \(0.307868\pi\) | |||||||
\(380\) | 49.9273 | − | 53.7215i | 2.56122 | − | 2.75585i | ||||
\(381\) | −4.84935 | − | 33.7280i | −0.248440 | − | 1.72794i | ||||
\(382\) | 24.1499 | + | 20.9260i | 1.23561 | + | 1.07067i | ||||
\(383\) | 3.15958 | + | 0.454279i | 0.161447 | + | 0.0232126i | 0.222564 | − | 0.974918i | \(-0.428557\pi\) |
−0.0611173 | + | 0.998131i | \(0.519466\pi\) | |||||||
\(384\) | −37.1222 | − | 23.8570i | −1.89438 | − | 1.21745i | ||||
\(385\) | 16.6408 | − | 26.8341i | 0.848096 | − | 1.36759i | ||||
\(386\) | −32.8496 | + | 21.1111i | −1.67200 | + | 1.07453i | ||||
\(387\) | 9.11499 | − | 4.16267i | 0.463341 | − | 0.211601i | ||||
\(388\) | −32.8022 | + | 28.4233i | −1.66528 | + | 1.44297i | ||||
\(389\) | −4.17714 | − | 9.14667i | −0.211790 | − | 0.463755i | 0.773686 | − | 0.633569i | \(-0.218411\pi\) |
−0.985476 | + | 0.169814i | \(0.945683\pi\) | |||||||
\(390\) | −0.298652 | + | 0.0323772i | −0.0151228 | + | 0.00163948i | ||||
\(391\) | −0.0840454 | − | 0.0246780i | −0.00425036 | − | 0.00124802i | ||||
\(392\) | 70.0805 | + | 60.7251i | 3.53960 | + | 3.06708i | ||||
\(393\) | 14.4086 | − | 49.0711i | 0.726817 | − | 2.47531i | ||||
\(394\) | −3.74348 | − | 1.09919i | −0.188594 | − | 0.0553762i | ||||
\(395\) | −7.49460 | + | 8.06414i | −0.377094 | + | 0.405751i | ||||
\(396\) | −84.8708 | + | 60.8612i | −4.26492 | + | 3.05839i | ||||
\(397\) | −8.50553 | − | 7.37008i | −0.426880 | − | 0.369894i | 0.414761 | − | 0.909930i | \(-0.363865\pi\) |
−0.841642 | + | 0.540036i | \(0.818411\pi\) | |||||||
\(398\) | −39.9542 | − | 62.1700i | −2.00273 | − | 3.11630i | ||||
\(399\) | 79.1059 | − | 23.2276i | 3.96025 | − | 1.16283i | ||||
\(400\) | 59.8347 | + | 4.17250i | 2.99174 | + | 0.208625i | ||||
\(401\) | −1.52432 | − | 0.979618i | −0.0761207 | − | 0.0489198i | 0.502027 | − | 0.864852i | \(-0.332588\pi\) |
−0.578148 | + | 0.815932i | \(0.696224\pi\) | |||||||
\(402\) | 29.4994 | + | 100.466i | 1.47130 | + | 5.01077i | ||||
\(403\) | − | 0.0684508i | − | 0.00340978i | ||||||
\(404\) | −0.606299 | − | 4.21690i | −0.0301645 | − | 0.209799i | ||||
\(405\) | 21.9550 | + | 7.28564i | 1.09095 | + | 0.362026i | ||||
\(406\) | −3.58762 | − | 7.85580i | −0.178051 | − | 0.389877i | ||||
\(407\) | −0.508883 | − | 9.98622i | −0.0252244 | − | 0.494998i | ||||
\(408\) | −0.676061 | − | 0.308747i | −0.0334700 | − | 0.0152853i | ||||
\(409\) | −12.4004 | − | 14.3108i | −0.613159 | − | 0.707624i | 0.361234 | − | 0.932475i | \(-0.382356\pi\) |
−0.974393 | + | 0.224852i | \(0.927810\pi\) | |||||||
\(410\) | 1.00834 | − | 28.9548i | 0.0497983 | − | 1.42997i | ||||
\(411\) | 28.6992 | − | 18.4439i | 1.41563 | − | 0.909769i | ||||
\(412\) | 48.7856 | − | 22.2796i | 2.40349 | − | 1.09764i | ||||
\(413\) | 28.4345 | + | 24.6387i | 1.39917 | + | 1.21239i | ||||
\(414\) | −31.9129 | − | 36.8295i | −1.56844 | − | 1.81007i | ||||
\(415\) | −14.9167 | + | 12.0425i | −0.732233 | + | 0.591145i | ||||
\(416\) | 0.214897 | + | 0.138106i | 0.0105362 | + | 0.00677119i | ||||
\(417\) | −43.6657 | + | 6.27818i | −2.13832 | + | 0.307444i | ||||
\(418\) | −13.1786 | + | 55.1198i | −0.644588 | + | 2.69600i | ||||
\(419\) | 3.21696 | − | 22.3744i | 0.157159 | − | 1.09306i | −0.746678 | − | 0.665185i | \(-0.768353\pi\) |
0.903837 | − | 0.427877i | \(-0.140738\pi\) | |||||||
\(420\) | 121.231 | + | 84.0127i | 5.91548 | + | 4.09940i | ||||
\(421\) | −25.1431 | − | 16.1585i | −1.22540 | − | 0.787518i | −0.242233 | − | 0.970218i | \(-0.577880\pi\) |
−0.983169 | + | 0.182700i | \(0.941516\pi\) | |||||||
\(422\) | 22.7473 | + | 3.27057i | 1.10732 | + | 0.159209i | ||||
\(423\) | −71.2691 | − | 10.2470i | −3.46522 | − | 0.498224i | ||||
\(424\) | −7.33560 | + | 51.0202i | −0.356248 | + | 2.47776i | ||||
\(425\) | 0.147044 | − | 0.0107797i | 0.00713268 | − | 0.000522892i | ||||
\(426\) | 73.4400 | + | 47.1970i | 3.55818 | + | 2.28670i | ||||
\(427\) | −22.7117 | − | 19.6798i | −1.09910 | − | 0.952374i | ||||
\(428\) | 0.686521 | + | 0.0987069i | 0.0331843 | + | 0.00477118i | ||||
\(429\) | 0.135674 | − | 0.0972926i | 0.00655042 | − | 0.00469733i | ||||
\(430\) | 9.42379 | − | 2.41421i | 0.454455 | − | 0.116423i | ||||
\(431\) | −4.96376 | − | 3.19001i | −0.239096 | − | 0.153658i | 0.415606 | − | 0.909545i | \(-0.363569\pi\) |
−0.654702 | + | 0.755887i | \(0.727206\pi\) | |||||||
\(432\) | −61.7290 | − | 96.0522i | −2.96994 | − | 4.62132i | ||||
\(433\) | 27.8471 | − | 24.1296i | 1.33824 | − | 1.15960i | 0.364693 | − | 0.931128i | \(-0.381174\pi\) |
0.973552 | − | 0.228467i | \(-0.0733714\pi\) | |||||||
\(434\) | −30.6023 | + | 35.3169i | −1.46896 | + | 1.69527i | ||||
\(435\) | −2.62674 | − | 4.41817i | −0.125942 | − | 0.211835i | ||||
\(436\) | −52.4136 | + | 33.6842i | −2.51015 | + | 1.61318i | ||||
\(437\) | −18.8257 | − | 2.70673i | −0.900555 | − | 0.129480i | ||||
\(438\) | −1.35706 | + | 1.17590i | −0.0648426 | + | 0.0561865i | ||||
\(439\) | −0.708921 | + | 1.55232i | −0.0338350 | + | 0.0740882i | −0.925795 | − | 0.378026i | \(-0.876603\pi\) |
0.891960 | + | 0.452115i | \(0.149330\pi\) | |||||||
\(440\) | −55.7987 | + | 26.5765i | −2.66010 | + | 1.26699i | ||||
\(441\) | 28.4138 | + | 62.2175i | 1.35304 | + | 2.96274i | ||||
\(442\) | 0.00119147 | 0.000544127i | 5.66726e−5 | 2.58815e-5i | ||||||
\(443\) | 11.8731 | − | 1.70709i | 0.564106 | − | 0.0811062i | 0.145638 | − | 0.989338i | \(-0.453476\pi\) |
0.418468 | + | 0.908232i | \(0.362567\pi\) | |||||||
\(444\) | 46.7090 | 2.21671 | ||||||||
\(445\) | −6.33374 | − | 15.2526i | −0.300248 | − | 0.723043i | ||||
\(446\) | −53.8868 | − | 34.6309i | −2.55161 | − | 1.63982i | ||||
\(447\) | 4.91318 | − | 16.7328i | 0.232386 | − | 0.791433i | ||||
\(448\) | −20.3537 | − | 69.3184i | −0.961622 | − | 3.27499i | ||||
\(449\) | −0.355067 | + | 0.228188i | −0.0167567 | + | 0.0107688i | −0.548992 | − | 0.835827i | \(-0.684988\pi\) |
0.532236 | + | 0.846596i | \(0.321352\pi\) | |||||||
\(450\) | 72.0631 | + | 39.1832i | 3.39709 | + | 1.84711i | ||||
\(451\) | 7.42567 | + | 14.2873i | 0.349661 | + | 0.672764i | ||||
\(452\) | 1.95925 | − | 1.69770i | 0.0921552 | − | 0.0798530i | ||||
\(453\) | 5.11757 | − | 17.4288i | 0.240444 | − | 0.818878i | ||||
\(454\) | −45.7112 | − | 13.4220i | −2.14533 | − | 0.629926i | ||||
\(455\) | −0.130239 | − | 0.0902548i | −0.00610568 | − | 0.00423121i | ||||
\(456\) | −154.840 | − | 45.4652i | −7.25107 | − | 2.12911i | ||||
\(457\) | − | 16.0272i | − | 0.749719i | −0.927082 | − | 0.374859i | \(-0.877691\pi\) | ||
0.927082 | − | 0.374859i | \(-0.122309\pi\) | |||||||
\(458\) | −62.9699 | + | 28.7574i | −2.94239 | + | 1.34374i | ||||
\(459\) | −0.183795 | − | 0.212111i | −0.00857882 | − | 0.00990048i | ||||
\(460\) | −17.3884 | − | 29.2472i | −0.810737 | − | 1.36366i | ||||
\(461\) | −26.2578 | + | 16.8748i | −1.22295 | + | 0.785940i | −0.982778 | − | 0.184791i | \(-0.940839\pi\) |
−0.240169 | + | 0.970731i | \(0.577203\pi\) | |||||||
\(462\) | −113.497 | − | 10.4581i | −5.28036 | − | 0.486557i | ||||
\(463\) | −20.3315 | + | 31.6364i | −0.944885 | + | 1.47027i | −0.0634385 | + | 0.997986i | \(0.520207\pi\) |
−0.881446 | + | 0.472284i | \(0.843430\pi\) | |||||||
\(464\) | −1.29756 | + | 9.02473i | −0.0602377 | + | 0.418963i | ||||
\(465\) | −15.8420 | + | 22.8602i | −0.734656 | + | 1.06012i | ||||
\(466\) | −6.02237 | − | 41.8865i | −0.278981 | − | 1.94036i | ||||
\(467\) | −11.0724 | + | 9.59431i | −0.512371 | + | 0.443972i | −0.872274 | − | 0.489018i | \(-0.837355\pi\) |
0.359903 | + | 0.932990i | \(0.382810\pi\) | |||||||
\(468\) | 0.283351 | + | 0.440904i | 0.0130979 | + | 0.0203808i | ||||
\(469\) | −22.9436 | + | 50.2395i | −1.05944 | + | 2.31984i | ||||
\(470\) | −66.3434 | − | 22.0157i | −3.06019 | − | 1.01551i | ||||
\(471\) | −22.2028 | + | 6.51933i | −1.02305 | + | 0.300395i | ||||
\(472\) | −20.7482 | − | 70.6619i | −0.955014 | − | 3.25248i | ||||
\(473\) | −3.90051 | + | 3.74389i | −0.179346 | + | 0.172144i | ||||
\(474\) | 38.1301 | + | 11.1960i | 1.75137 | + | 0.514249i | ||||
\(475\) | 31.2697 | − | 6.86058i | 1.43475 | − | 0.314785i | ||||
\(476\) | −0.267165 | − | 0.585009i | −0.0122455 | − | 0.0268138i | ||||
\(477\) | −20.5552 | + | 31.9845i | −0.941158 | + | 1.46447i | ||||
\(478\) | 72.5151 | − | 10.4261i | 3.31676 | − | 0.476879i | ||||
\(479\) | 0.472065 | − | 1.03368i | 0.0215692 | − | 0.0472299i | −0.898541 | − | 0.438890i | \(-0.855372\pi\) |
0.920110 | + | 0.391660i | \(0.128099\pi\) | |||||||
\(480\) | −39.8054 | − | 95.8574i | −1.81686 | − | 4.37527i | ||||
\(481\) | −0.0501794 | −0.00228798 | ||||||||
\(482\) | −4.19563 | + | 0.603241i | −0.191106 | + | 0.0274769i | ||||
\(483\) | − | 38.2504i | − | 1.74045i | ||||||
\(484\) | 32.3805 | − | 46.1161i | 1.47184 | − | 2.09618i | ||||
\(485\) | −18.8357 | + | 2.04199i | −0.855284 | + | 0.0927221i | ||||
\(486\) | −1.03834 | − | 7.22183i | −0.0471002 | − | 0.327589i | ||||
\(487\) | − | 24.0966i | − | 1.09192i | −0.837810 | − | 0.545962i | \(-0.816164\pi\) | ||
0.837810 | − | 0.545962i | \(-0.183836\pi\) | |||||||
\(488\) | 16.5724 | + | 56.4403i | 0.750196 | + | 2.55493i | ||||
\(489\) | −0.431268 | + | 0.944346i | −0.0195026 | + | 0.0427048i | ||||
\(490\) | 16.4790 | + | 64.3254i | 0.744446 | + | 2.90592i | ||||
\(491\) | 9.96176 | + | 6.40203i | 0.449568 | + | 0.288920i | 0.745767 | − | 0.666206i | \(-0.232083\pi\) |
−0.296200 | + | 0.955126i | \(0.595719\pi\) | |||||||
\(492\) | −68.4190 | + | 31.2459i | −3.08457 | + | 1.40867i | ||||
\(493\) | 0.0224121i | 0.00100939i | ||||||||
\(494\) | 0.272887 | + | 0.0801268i | 0.0122778 | + | 0.00360507i | ||||
\(495\) | −45.5818 | + | 0.734109i | −2.04875 | + | 0.0329958i | ||||
\(496\) | 47.3368 | − | 13.8994i | 2.12549 | − | 0.624099i | ||||
\(497\) | 12.9732 | + | 44.1825i | 0.581926 | + | 1.98186i | ||||
\(498\) | 62.9489 | + | 28.7478i | 2.82081 | + | 1.28822i | ||||
\(499\) | 2.54754 | − | 5.57833i | 0.114043 | − | 0.249720i | −0.844000 | − | 0.536343i | \(-0.819805\pi\) |
0.958044 | + | 0.286623i | \(0.0925326\pi\) | |||||||
\(500\) | 44.6906 | + | 35.8177i | 1.99862 | + | 1.60182i | ||||
\(501\) | 25.0302 | + | 28.8864i | 1.11827 | + | 1.29055i | ||||
\(502\) | 50.4777 | − | 7.25760i | 2.25293 | − | 0.323923i | ||||
\(503\) | 18.1275 | + | 15.7076i | 0.808265 | + | 0.700366i | 0.957499 | − | 0.288436i | \(-0.0931353\pi\) |
−0.149234 | + | 0.988802i | \(0.547681\pi\) | |||||||
\(504\) | 31.0399 | − | 215.887i | 1.38263 | − | 9.61637i | ||||
\(505\) | 0.830929 | − | 1.66368i | 0.0369759 | − | 0.0740328i | ||||
\(506\) | 22.8142 | + | 13.0712i | 1.01422 | + | 0.581085i | ||||
\(507\) | 21.2561 | + | 33.0751i | 0.944016 | + | 1.46892i | ||||
\(508\) | −52.4989 | + | 23.9755i | −2.32926 | + | 1.06374i | ||||
\(509\) | 16.1039 | + | 18.5849i | 0.713792 | + | 0.823760i | 0.990546 | − | 0.137181i | \(-0.0438043\pi\) |
−0.276754 | + | 0.960941i | \(0.589259\pi\) | |||||||
\(510\) | −0.271980 | − | 0.457470i | −0.0120435 | − | 0.0202571i | ||||
\(511\) | −0.947159 | −0.0418999 | ||||||||
\(512\) | 4.46009 | − | 15.1897i | 0.197110 | − | 0.671295i | ||||
\(513\) | −46.0559 | − | 39.9076i | −2.03342 | − | 1.76196i | ||||
\(514\) | 66.9439 | + | 19.6565i | 2.95277 | + | 0.867012i | ||||
\(515\) | 23.0426 | + | 4.13619i | 1.01538 | + | 0.182263i | ||||
\(516\) | −16.5388 | − | 19.0868i | −0.728082 | − | 0.840252i | ||||
\(517\) | 38.1219 | − | 7.47853i | 1.67660 | − | 0.328905i | ||||
\(518\) | 25.8898 | + | 22.4337i | 1.13753 | + | 0.985679i | ||||
\(519\) | 30.4614 | − | 19.5764i | 1.33711 | − | 0.859307i | ||||
\(520\) | 0.118947 | + | 0.286442i | 0.00521616 | + | 0.0125613i | ||||
\(521\) | −34.7320 | − | 10.1982i | −1.52164 | − | 0.446793i | −0.589157 | − | 0.808018i | \(-0.700540\pi\) |
−0.932478 | + | 0.361226i | \(0.882358\pi\) | |||||||
\(522\) | −6.74119 | + | 10.4895i | −0.295054 | + | 0.459113i | ||||
\(523\) | 3.56360 | + | 12.1365i | 0.155825 | + | 0.530693i | 0.999985 | − | 0.00539855i | \(-0.00171842\pi\) |
−0.844160 | + | 0.536091i | \(0.819900\pi\) | |||||||
\(524\) | −86.6236 | −3.78417 | ||||||||
\(525\) | 22.6070 | + | 60.2839i | 0.986649 | + | 2.63101i | ||||
\(526\) | 25.3910 | − | 55.5986i | 1.10710 | − | 2.42421i | ||||
\(527\) | 0.110313 | − | 0.0503784i | 0.00480532 | − | 0.00219452i | ||||
\(528\) | 94.8317 | + | 74.0691i | 4.12702 | + | 3.22344i | ||||
\(529\) | 5.88895 | − | 12.8950i | 0.256041 | − | 0.560652i | ||||
\(530\) | −25.1275 | + | 27.0370i | −1.09147 | + | 1.17441i | ||||
\(531\) | 7.73074 | − | 53.7685i | 0.335486 | − | 2.33335i | ||||
\(532\) | −75.4966 | − | 117.475i | −3.27319 | − | 5.09319i | ||||
\(533\) | 0.0735025 | − | 0.0335675i | 0.00318375 | − | 0.00145397i | ||||
\(534\) | −39.0403 | + | 45.0550i | −1.68944 | + | 1.94972i | ||||
\(535\) | 0.221767 | + | 0.206105i | 0.00958784 | + | 0.00891069i | ||||
\(536\) | 90.9456 | − | 58.4472i | 3.92825 | − | 2.52453i | ||||
\(537\) | −0.00914134 | + | 0.0142242i | −0.000394478 | + | 0.000613820i | ||||
\(538\) | −41.8858 | + | 6.02228i | −1.80583 | + | 0.259639i | ||||
\(539\) | −25.5553 | − | 26.6243i | −1.10074 | − | 1.14679i | ||||
\(540\) | 3.79441 | − | 108.958i | 0.163286 | − | 4.68879i | ||||
\(541\) | 19.6195 | − | 22.6421i | 0.843507 | − | 0.973459i | −0.156391 | − | 0.987695i | \(-0.549986\pi\) |
0.999899 | + | 0.0142360i | \(0.00453160\pi\) | |||||||
\(542\) | −0.178647 | + | 0.277980i | −0.00767354 | + | 0.0119403i | ||||
\(543\) | −16.3835 | − | 2.35559i | −0.703084 | − | 0.101088i | ||||
\(544\) | −0.0644075 | + | 0.447964i | −0.00276145 | + | 0.0192063i | ||||
\(545\) | −27.1798 | − | 0.946527i | −1.16426 | − | 0.0405448i | ||||
\(546\) | −0.0814014 | + | 0.566159i | −0.00348366 | + | 0.0242294i | ||||
\(547\) | 6.44838 | − | 10.0339i | 0.275713 | − | 0.429017i | −0.675589 | − | 0.737278i | \(-0.736111\pi\) |
0.951302 | + | 0.308261i | \(0.0997470\pi\) | |||||||
\(548\) | −43.6690 | − | 37.8394i | −1.86545 | − | 1.61642i | ||||
\(549\) | −6.17484 | + | 42.9469i | −0.263536 | + | 1.83293i | ||||
\(550\) | −43.6815 | − | 7.11682i | −1.86258 | − | 0.303462i | ||||
\(551\) | 0.692554 | + | 4.81682i | 0.0295038 | + | 0.205204i | ||||
\(552\) | −40.4781 | + | 62.9851i | −1.72286 | + | 2.68082i | ||||
\(553\) | 11.3328 | + | 17.6342i | 0.481920 | + | 0.749883i | ||||
\(554\) | −13.0665 | − | 15.0796i | −0.555143 | − | 0.640669i | ||||
\(555\) | 16.7582 | + | 11.6133i | 0.711345 | + | 0.492959i | ||||
\(556\) | 31.0397 | + | 67.9675i | 1.31638 | + | 2.88246i | ||||
\(557\) | 20.3614 | + | 31.6829i | 0.862740 | + | 1.34245i | 0.938484 | + | 0.345322i | \(0.112230\pi\) |
−0.0757447 | + | 0.997127i | \(0.524133\pi\) | |||||||
\(558\) | 66.7828 | + | 9.60191i | 2.82714 | + | 0.406481i | ||||
\(559\) | 0.0177677 | + | 0.0205050i | 0.000751492 | + | 0.000867268i | ||||
\(560\) | 35.9695 | − | 108.393i | 1.51999 | − | 4.58043i | ||||
\(561\) | 0.256647 | + | 0.147043i | 0.0108356 | + | 0.00620817i | ||||
\(562\) | −49.7382 | + | 22.7147i | −2.09808 | + | 0.958160i | ||||
\(563\) | 5.86925 | + | 2.68040i | 0.247359 | + | 0.112965i | 0.535237 | − | 0.844702i | \(-0.320222\pi\) |
−0.287878 | + | 0.957667i | \(0.592950\pi\) | |||||||
\(564\) | 25.8262 | + | 179.625i | 1.08748 | + | 7.56359i | ||||
\(565\) | 1.12504 | − | 0.121966i | 0.0473307 | − | 0.00513116i | ||||
\(566\) | 19.8577 | − | 5.83075i | 0.834681 | − | 0.245085i | ||||
\(567\) | 23.8125 | − | 37.0530i | 1.00003 | − | 1.55608i | ||||
\(568\) | 25.3934 | − | 86.4821i | 1.06548 | − | 3.62871i | ||||
\(569\) | 33.0090 | − | 9.69231i | 1.38381 | − | 0.406323i | 0.496715 | − | 0.867914i | \(-0.334539\pi\) |
0.887093 | + | 0.461591i | \(0.152721\pi\) | |||||||
\(570\) | −72.5904 | − | 89.9155i | −3.04048 | − | 3.76614i | ||||
\(571\) | −16.3306 | + | 18.8465i | −0.683413 | + | 0.788700i | −0.986412 | − | 0.164290i | \(-0.947467\pi\) |
0.302999 | + | 0.952991i | \(0.402012\pi\) | |||||||
\(572\) | −0.222857 | − | 0.174064i | −0.00931812 | − | 0.00727799i | ||||
\(573\) | 27.3675 | − | 23.7141i | 1.14329 | − | 0.990670i | ||||
\(574\) | −52.9302 | − | 15.5417i | −2.20927 | − | 0.648699i | ||||
\(575\) | 1.03322 | − | 14.8166i | 0.0430881 | − | 0.617894i | ||||
\(576\) | −68.3060 | + | 78.8293i | −2.84608 | + | 3.28455i | ||||
\(577\) | 3.78264 | − | 12.8825i | 0.157474 | − | 0.536306i | −0.842524 | − | 0.538659i | \(-0.818931\pi\) |
0.999997 | + | 0.00235371i | \(0.000749210\pi\) | |||||||
\(578\) | − | 45.3677i | − | 1.88705i | ||||||
\(579\) | 18.3825 | + | 40.2521i | 0.763952 | + | 1.67282i | ||||
\(580\) | −5.92675 | + | 6.37714i | −0.246095 | + | 0.264796i | ||||
\(581\) | 15.1638 | + | 33.2041i | 0.629101 | + | 1.37754i | ||||
\(582\) | 36.9745 | + | 57.5335i | 1.53264 | + | 2.38484i | ||||
\(583\) | 4.77017 | − | 19.9513i | 0.197560 | − | 0.826299i | ||||
\(584\) | 1.55964 | + | 1.00232i | 0.0645385 | + | 0.0414764i | ||||
\(585\) | −0.00796220 | + | 0.228637i | −0.000329196 | + | 0.00945297i | ||||
\(586\) | 36.1351 | − | 41.7022i | 1.49273 | − | 1.72270i | ||||
\(587\) | −5.72815 | + | 0.823584i | −0.236426 | + | 0.0339929i | −0.259509 | − | 0.965741i | \(-0.583561\pi\) |
0.0230832 | + | 0.999734i | \(0.492652\pi\) | |||||||
\(588\) | 130.284 | − | 112.892i | 5.37282 | − | 4.65558i | ||||
\(589\) | 22.1519 | − | 14.2362i | 0.912753 | − | 0.586591i | ||||
\(590\) | 16.6096 | − | 50.0523i | 0.683806 | − | 2.06062i | ||||
\(591\) | −1.83669 | + | 4.02180i | −0.0755515 | + | 0.165435i | ||||
\(592\) | −10.1892 | − | 34.7013i | −0.418775 | − | 1.42622i | ||||
\(593\) | −4.81439 | − | 16.3963i | −0.197703 | − | 0.673315i | −0.997344 | − | 0.0728366i | \(-0.976795\pi\) |
0.799641 | − | 0.600479i | \(-0.205023\pi\) | |||||||
\(594\) | 38.8527 | + | 74.7544i | 1.59415 | + | 3.06721i | ||||
\(595\) | 0.0495989 | − | 0.276314i | 0.00203336 | − | 0.0113278i | ||||
\(596\) | −29.5378 | −1.20991 | ||||||||
\(597\) | −76.1799 | + | 34.7902i | −3.11784 | + | 1.42387i | ||||
\(598\) | 0.0713375 | − | 0.111003i | 0.00291721 | − | 0.00453926i | ||||
\(599\) | −2.61490 | − | 18.1870i | −0.106842 | − | 0.743101i | −0.970861 | − | 0.239643i | \(-0.922970\pi\) |
0.864019 | − | 0.503459i | \(-0.167939\pi\) | |||||||
\(600\) | 26.5690 | − | 123.190i | 1.08468 | − | 5.02923i | ||||
\(601\) | −1.95935 | + | 0.575317i | −0.0799235 | + | 0.0234677i | −0.321450 | − | 0.946927i | \(-0.604170\pi\) |
0.241526 | + | 0.970394i | \(0.422352\pi\) | |||||||
\(602\) | − | 18.5228i | − | 0.754934i | ||||||
\(603\) | 78.9294 | − | 11.3483i | 3.21426 | − | 0.462140i | ||||
\(604\) | −30.7665 | −1.25187 | ||||||||
\(605\) | 23.0834 | − | 8.49463i | 0.938472 | − | 0.345356i | ||||
\(606\) | −6.71282 | −0.272690 | ||||||||
\(607\) | −10.5433 | + | 1.51590i | −0.427939 | + | 0.0615283i | −0.352919 | − | 0.935654i | \(-0.614811\pi\) |
−0.0750195 | + | 0.997182i | \(0.523902\pi\) | |||||||
\(608\) | 98.2671i | 3.98526i | ||||||||
\(609\) | −9.39046 | + | 2.75729i | −0.380521 | + | 0.111731i | ||||
\(610\) | −13.2667 | + | 39.9787i | −0.537153 | + | 1.61869i | ||||
\(611\) | −0.0277451 | − | 0.192971i | −0.00112245 | − | 0.00780678i | ||||
\(612\) | −0.502006 | + | 0.781136i | −0.0202924 | + | 0.0315755i | ||||
\(613\) | −8.01048 | + | 3.65826i | −0.323540 | + | 0.147756i | −0.570563 | − | 0.821254i | \(-0.693275\pi\) |
0.247023 | + | 0.969010i | \(0.420548\pi\) | |||||||
\(614\) | −40.0934 | −1.61804 | ||||||||
\(615\) | −32.3160 | − | 5.80078i | −1.30311 | − | 0.233910i | ||||
\(616\) | 22.6538 | + | 115.478i | 0.912747 | + | 4.65274i | ||||
\(617\) | 2.05484 | + | 6.99813i | 0.0827246 | + | 0.281734i | 0.990458 | − | 0.137813i | \(-0.0440072\pi\) |
−0.907734 | + | 0.419547i | \(0.862189\pi\) | |||||||
\(618\) | −23.8085 | − | 81.0841i | −0.957716 | − | 3.26168i | ||||
\(619\) | −1.85596 | + | 4.06398i | −0.0745971 | + | 0.163345i | −0.943257 | − | 0.332065i | \(-0.892255\pi\) |
0.868659 | + | 0.495410i | \(0.164982\pi\) | |||||||
\(620\) | 44.7109 | + | 14.8371i | 1.79563 | + | 0.595870i | ||||
\(621\) | −23.7850 | + | 15.2857i | −0.954457 | + | 0.613392i | ||||
\(622\) | −8.28696 | + | 7.18069i | −0.332277 | + | 0.287920i | ||||
\(623\) | −31.1261 | + | 4.47526i | −1.24704 | + | 0.179297i | ||||
\(624\) | 0.395443 | − | 0.456365i | 0.0158304 | − | 0.0182692i | ||||
\(625\) | 7.12860 | + | 23.9621i | 0.285144 | + | 0.958485i | ||||
\(626\) | −41.5228 | − | 26.6851i | −1.65958 | − | 1.06655i | ||||
\(627\) | 59.7026 | + | 23.6720i | 2.38429 | + | 0.945369i | ||||
\(628\) | 21.1898 | + | 32.9719i | 0.845564 | + | 1.31572i | ||||
\(629\) | −0.0369310 | − | 0.0808675i | −0.00147253 | − | 0.00322440i | ||||
\(630\) | 106.325 | − | 114.404i | 4.23607 | − | 4.55798i | ||||
\(631\) | 13.5297 | + | 29.6260i | 0.538610 | + | 1.17939i | 0.961901 | + | 0.273397i | \(0.0881474\pi\) |
−0.423291 | + | 0.905994i | \(0.639125\pi\) | |||||||
\(632\) | − | 41.0303i | − | 1.63210i | ||||||
\(633\) | 7.33721 | − | 24.9882i | 0.291628 | − | 0.993193i | ||||
\(634\) | 31.0397 | − | 35.8217i | 1.23274 | − | 1.42266i | ||||
\(635\) | −24.7966 | − | 4.45102i | −0.984021 | − | 0.176633i | ||||
\(636\) | 91.9435 | + | 26.9970i | 3.64580 | + | 1.07050i | ||||
\(637\) | −0.139964 | + | 0.121279i | −0.00554557 | + | 0.00480527i | ||||
\(638\) | 1.56440 | − | 6.54314i | 0.0619353 | − | 0.259045i | ||||
\(639\) | 43.5372 | − | 50.2447i | 1.72231 | − | 1.98765i | ||||
\(640\) | −25.3850 | + | 20.4938i | −1.00343 | + | 0.810087i | ||||
\(641\) | −0.925822 | + | 0.271846i | −0.0365678 | + | 0.0107373i | −0.299965 | − | 0.953950i | \(-0.596975\pi\) |
0.263398 | + | 0.964687i | \(0.415157\pi\) | |||||||
\(642\) | 0.307895 | − | 1.04859i | 0.0121516 | − | 0.0413847i | ||||
\(643\) | 13.4547 | − | 20.9360i | 0.530603 | − | 0.825635i | −0.467698 | − | 0.883888i | \(-0.654917\pi\) |
0.998302 | + | 0.0582530i | \(0.0185530\pi\) | |||||||
\(644\) | −62.1626 | + | 18.2526i | −2.44955 | + | 0.719252i | ||||
\(645\) | −1.18819 | − | 10.9600i | −0.0467848 | − | 0.431551i | ||||
\(646\) | 0.0717090 | + | 0.498747i | 0.00282135 | + | 0.0196229i | ||||
\(647\) | −4.08773 | − | 1.86680i | −0.160705 | − | 0.0733916i | 0.333438 | − | 0.942772i | \(-0.391791\pi\) |
−0.494144 | + | 0.869380i | \(0.664518\pi\) | |||||||
\(648\) | −78.4221 | + | 35.8142i | −3.08071 | + | 1.40691i | ||||
\(649\) | 5.64212 | + | 28.7608i | 0.221473 | + | 1.12896i | ||||
\(650\) | −0.0468246 | + | 0.217107i | −0.00183661 | + | 0.00851566i | ||||
\(651\) | 34.6796 | + | 40.0224i | 1.35920 | + | 1.56860i | ||||
\(652\) | 1.74050 | + | 0.250246i | 0.0681632 | + | 0.00980039i | ||||
\(653\) | −8.60427 | − | 13.3885i | −0.336711 | − | 0.523933i | 0.631070 | − | 0.775726i | \(-0.282616\pi\) |
−0.967781 | + | 0.251793i | \(0.918980\pi\) | |||||||
\(654\) | 40.7819 | + | 89.2998i | 1.59470 | + | 3.49190i | ||||
\(655\) | −31.0787 | − | 21.5374i | −1.21434 | − | 0.841535i | ||||
\(656\) | 38.1385 | + | 44.0142i | 1.48906 | + | 1.71847i | ||||
\(657\) | 0.739324 | + | 1.15041i | 0.0288438 | + | 0.0448818i | ||||
\(658\) | −71.9565 | + | 111.967i | −2.80516 | + | 4.36491i | ||||
\(659\) | −3.58076 | − | 24.9047i | −0.139487 | − | 0.970150i | −0.932558 | − | 0.361021i | \(-0.882428\pi\) |
0.793071 | − | 0.609129i | \(-0.208481\pi\) | |||||||
\(660\) | 34.1417 | + | 109.709i | 1.32896 | + | 4.27040i | ||||
\(661\) | −3.04108 | + | 21.1512i | −0.118284 | + | 0.822685i | 0.841160 | + | 0.540787i | \(0.181873\pi\) |
−0.959444 | + | 0.281899i | \(0.909036\pi\) | |||||||
\(662\) | −15.5375 | − | 13.4633i | −0.603883 | − | 0.523268i | ||||
\(663\) | 0.000802505 | − | 0.00124872i | 3.11667e−5 | − | 4.84964e-5i | ||||
\(664\) | 10.1684 | − | 70.7226i | 0.394610 | − | 2.74457i | ||||
\(665\) | 2.12146 | − | 60.9184i | 0.0822667 | − | 2.36231i | ||||
\(666\) | 7.03890 | − | 48.9566i | 0.272752 | − | 1.89703i | ||||
\(667\) | 2.23475 | + | 0.321309i | 0.0865299 | + | 0.0124411i | ||||
\(668\) | 35.0007 | − | 54.4621i | 1.35422 | − | 2.10720i | ||||
\(669\) | −47.5363 | + | 54.8598i | −1.83786 | + | 2.12100i | ||||
\(670\) | 77.3673 | + | 2.69429i | 2.98896 | + | 0.104089i | ||||
\(671\) | −4.50658 | − | 22.9723i | −0.173974 | − | 0.886837i | ||||
\(672\) | −195.617 | + | 28.1255i | −7.54608 | + | 1.08496i | ||||
\(673\) | −4.05395 | + | 6.30806i | −0.156268 | + | 0.243158i | −0.910556 | − | 0.413386i | \(-0.864346\pi\) |
0.754288 | + | 0.656544i | \(0.227982\pi\) | |||||||
\(674\) | 64.3519 | − | 41.3564i | 2.47874 | − | 1.59299i | ||||
\(675\) | 28.4517 | − | 38.1483i | 1.09511 | − | 1.46833i | ||||
\(676\) | 43.6089 | − | 50.3274i | 1.67727 | − | 1.93567i | ||||
\(677\) | 29.2119 | − | 13.3406i | 1.12270 | − | 0.512722i | 0.234474 | − | 0.972122i | \(-0.424663\pi\) |
0.888229 | + | 0.459401i | \(0.151936\pi\) | |||||||
\(678\) | −2.20845 | − | 3.43642i | −0.0848152 | − | 0.131975i | ||||
\(679\) | −5.13390 | + | 35.7071i | −0.197021 | + | 1.37031i | ||||
\(680\) | −0.374079 | + | 0.402506i | −0.0143453 | + | 0.0154354i | ||||
\(681\) | −22.4276 | + | 49.1096i | −0.859428 | + | 1.88189i | ||||
\(682\) | −35.7221 | + | 7.00776i | −1.36787 | + | 0.268341i | ||||
\(683\) | 4.59193 | − | 2.09706i | 0.175705 | − | 0.0802419i | −0.325620 | − | 0.945501i | \(-0.605573\pi\) |
0.501326 | + | 0.865259i | \(0.332846\pi\) | |||||||
\(684\) | −83.7537 | + | 183.395i | −3.20240 | + | 7.01228i | ||||
\(685\) | −6.25942 | − | 24.4335i | −0.239160 | − | 0.933554i | ||||
\(686\) | 46.8947 | 1.79045 | ||||||||
\(687\) | 22.1017 | + | 75.2713i | 0.843231 | + | 2.87178i | ||||
\(688\) | −10.5723 | + | 16.4508i | −0.403065 | + | 0.627181i | ||||
\(689\) | −0.0987747 | − | 0.0290029i | −0.00376302 | − | 0.00110492i | ||||
\(690\) | −49.5144 | + | 20.5612i | −1.88498 | + | 0.782750i | ||||
\(691\) | −32.4572 | + | 20.8590i | −1.23473 | + | 0.793513i | −0.984621 | − | 0.174704i | \(-0.944103\pi\) |
−0.250110 | + | 0.968217i | \(0.580467\pi\) | |||||||
\(692\) | −46.3503 | − | 40.1628i | −1.76197 | − | 1.52676i | ||||
\(693\) | −20.1845 | + | 84.4220i | −0.766745 | + | 3.20693i | ||||
\(694\) | 28.3756 | + | 32.7472i | 1.07712 | + | 1.24307i | ||||
\(695\) | −5.76250 | + | 32.1027i | −0.218584 | + | 1.21773i | ||||
\(696\) | 18.3807 | + | 5.39706i | 0.696719 | + | 0.204575i | ||||
\(697\) | 0.108193 | + | 0.0937493i | 0.00409808 | + | 0.00355101i | ||||
\(698\) | −15.9021 | + | 54.1574i | −0.601901 | + | 2.04989i | ||||
\(699\) | −47.9554 | −1.81384 | ||||||||
\(700\) | 87.1827 | − | 65.5064i | 3.29520 | − | 2.47591i | ||||
\(701\) | 26.6085 | + | 30.7078i | 1.00499 | + | 1.15982i | 0.987121 | + | 0.159978i | \(0.0511422\pi\) |
0.0178675 | + | 0.999840i | \(0.494312\pi\) | |||||||
\(702\) | 0.384581 | − | 0.175632i | 0.0145151 | − | 0.00662881i | ||||
\(703\) | −10.4361 | − | 16.2389i | −0.393606 | − | 0.612463i | ||||
\(704\) | 20.7432 | − | 52.3158i | 0.781787 | − | 1.97173i | ||||
\(705\) | −35.3947 | + | 70.8669i | −1.33304 | + | 2.66900i | ||||
\(706\) | −3.62982 | + | 25.2460i | −0.136610 | + | 0.950144i | ||||
\(707\) | −2.67600 | − | 2.31877i | −0.100641 | − | 0.0872062i | ||||
\(708\) | −135.517 | + | 19.4844i | −5.09304 | + | 0.732269i | ||||
\(709\) | −11.2803 | − | 13.0181i | −0.423639 | − | 0.488906i | 0.503303 | − | 0.864110i | \(-0.332118\pi\) |
−0.926942 | + | 0.375204i | \(0.877573\pi\) | |||||||
\(710\) | 50.2199 | − | 40.5435i | 1.88472 | − | 1.52157i | ||||
\(711\) | 12.5723 | − | 27.5295i | 0.471498 | − | 1.03244i | ||||
\(712\) | 55.9898 | + | 25.5697i | 2.09831 | + | 0.958265i | ||||
\(713\) | −3.44183 | − | 11.7218i | −0.128898 | − | 0.438985i | ||||
\(714\) | −0.972314 | + | 0.285497i | −0.0363880 | + | 0.0106845i | ||||
\(715\) | −0.0366784 | − | 0.117860i | −0.00137169 | − | 0.00440771i | ||||
\(716\) | 0.0274786 | + | 0.00806845i | 0.00102692 | + | 0.000301532i | ||||
\(717\) | − | 83.0218i | − | 3.10051i | ||||||
\(718\) | −34.2487 | + | 15.6409i | −1.27815 | + | 0.583712i | ||||
\(719\) | −17.4390 | − | 11.2074i | −0.650366 | − | 0.417965i | 0.173434 | − | 0.984845i | \(-0.444514\pi\) |
−0.823800 | + | 0.566881i | \(0.808150\pi\) | |||||||
\(720\) | −159.729 | + | 40.9199i | −5.95277 | + | 1.52499i | ||||
\(721\) | 18.5174 | − | 40.5474i | 0.689623 | − | 1.51006i | ||||
\(722\) | 16.5376 | + | 56.3217i | 0.615464 | + | 2.09608i | ||||
\(723\) | 4.80354i | 0.178645i | ||||||||
\(724\) | 3.98981 | + | 27.7497i | 0.148280 | + | 1.03131i | ||||
\(725\) | −3.71195 | + | 0.814403i | −0.137858 | + | 0.0302462i | ||||
\(726\) | −64.6635 | − | 60.8432i | −2.39989 | − | 2.25810i | ||||
\(727\) | − | 36.4409i | − | 1.35152i | −0.737122 | − | 0.675760i | \(-0.763816\pi\) | ||
0.737122 | − | 0.675760i | \(-0.236184\pi\) | |||||||
\(728\) | 0.584544 | − | 0.0840448i | 0.0216647 | − | 0.00311491i | ||||
\(729\) | 22.7670 | 0.843222 | ||||||||
\(730\) | 0.509138 | + | 1.22608i | 0.0188440 | + | 0.0453793i | ||||
\(731\) | −0.0199686 | + | 0.0437250i | −0.000738564 | + | 0.00161723i | ||||
\(732\) | 108.243 | − | 15.5629i | 4.00076 | − | 0.575223i | ||||
\(733\) | −19.6913 | + | 30.6403i | −0.727315 | + | 1.13172i | 0.258843 | + | 0.965919i | \(0.416659\pi\) |
−0.986158 | + | 0.165806i | \(0.946978\pi\) | |||||||
\(734\) | −4.87926 | − | 10.6841i | −0.180097 | − | 0.394357i | ||||
\(735\) | 74.8116 | − | 8.11038i | 2.75947 | − | 0.299156i | ||||
\(736\) | 43.7440 | + | 12.8444i | 1.61242 | + | 0.473451i | ||||
\(737\) | −38.1758 | + | 19.8414i | −1.40622 | + | 0.730869i | ||||
\(738\) | 22.4389 | + | 76.4200i | 0.825988 | + | 2.81306i | ||||
\(739\) | −32.8309 | + | 9.64002i | −1.20770 | + | 0.354614i | −0.822794 | − | 0.568340i | \(-0.807586\pi\) |
−0.384910 | + | 0.922954i | \(0.625768\pi\) | |||||||
\(740\) | 10.8766 | − | 32.7763i | 0.399833 | − | 1.20488i | ||||
\(741\) | 0.133889 | − | 0.293175i | 0.00491852 | − | 0.0107701i | ||||
\(742\) | 37.9961 | + | 59.1230i | 1.39488 | + | 2.17048i | ||||
\(743\) | 41.1783 | − | 35.6812i | 1.51069 | − | 1.30902i | 0.733872 | − | 0.679287i | \(-0.237711\pi\) |
0.776814 | − | 0.629730i | \(-0.216834\pi\) | |||||||
\(744\) | −14.7520 | − | 102.602i | −0.540834 | − | 3.76159i | ||||
\(745\) | −10.5975 | − | 7.34403i | −0.388263 | − | 0.269064i | ||||
\(746\) | 4.17437 | − | 29.0334i | 0.152834 | − | 1.06299i | ||||
\(747\) | 28.4930 | − | 44.3359i | 1.04250 | − | 1.62217i | ||||
\(748\) | 0.116499 | − | 0.487257i | 0.00425961 | − | 0.0178159i | ||||
\(749\) | 0.484948 | − | 0.311657i | 0.0177196 | − | 0.0113877i | ||||
\(750\) | 65.8843 | − | 61.6695i | 2.40576 | − | 2.25185i | ||||
\(751\) | 33.5062 | + | 38.6682i | 1.22266 | + | 1.41102i | 0.882275 | + | 0.470734i | \(0.156011\pi\) |
0.340382 | + | 0.940287i | \(0.389444\pi\) | |||||||
\(752\) | 127.814 | − | 58.3709i | 4.66092 | − | 2.12857i | ||||
\(753\) | − | 57.7915i | − | 2.10604i | ||||||
\(754\) | −0.0323937 | − | 0.00951164i | −0.00117971 | − | 0.000346394i | ||||
\(755\) | −11.0384 | − | 7.64953i | −0.401727 | − | 0.278395i | ||||
\(756\) | −199.178 | − | 58.4840i | −7.24404 | − | 2.12704i | ||||
\(757\) | −1.97747 | + | 6.73463i | −0.0718722 | + | 0.244774i | −0.987592 | − | 0.157044i | \(-0.949804\pi\) |
0.915719 | + | 0.401818i | \(0.131622\pi\) | |||||||
\(758\) | −2.54402 | + | 2.20441i | −0.0924030 | + | 0.0800677i | ||||
\(759\) | 18.3414 | − | 23.4827i | 0.665749 | − | 0.852368i | ||||
\(760\) | −67.9596 | + | 98.0665i | −2.46515 | + | 3.55725i | ||||
\(761\) | −23.0167 | + | 14.7919i | −0.834354 | + | 0.536207i | −0.886659 | − | 0.462424i | \(-0.846980\pi\) |
0.0523046 | + | 0.998631i | \(0.483343\pi\) | |||||||
\(762\) | 25.6206 | + | 87.2559i | 0.928138 | + | 3.16095i | ||||
\(763\) | −14.5890 | + | 49.6855i | −0.528157 | + | 1.79874i | ||||
\(764\) | −51.5983 | − | 33.1602i | −1.86676 | − | 1.19970i | ||||
\(765\) | −0.374324 | + | 0.155440i | −0.0135337 | + | 0.00561995i | ||||
\(766\) | −8.51908 | −0.307807 | ||||||||
\(767\) | 0.145586 | − | 0.0209321i | 0.00525680 | − | 0.000755814i | ||||
\(768\) | 13.7613 | + | 6.28458i | 0.496569 | + | 0.226775i | ||||
\(769\) | 17.7219 | + | 38.8055i | 0.639067 | + | 1.39936i | 0.900805 | + | 0.434223i | \(0.142977\pi\) |
−0.261738 | + | 0.965139i | \(0.584296\pi\) | |||||||
\(770\) | −33.7675 | + | 77.2070i | −1.21690 | + | 2.78235i | ||||
\(771\) | 32.8452 | − | 71.9210i | 1.18289 | − | 2.59017i | ||||
\(772\) | 56.6438 | − | 49.0822i | 2.03866 | − | 1.76651i | ||||
\(773\) | −26.2621 | − | 3.77592i | −0.944581 | − | 0.135810i | −0.347221 | − | 0.937783i | \(-0.612875\pi\) |
−0.597360 | + | 0.801973i | \(0.703784\pi\) | |||||||
\(774\) | −22.4976 | + | 14.4584i | −0.808661 | + | 0.519695i | ||||
\(775\) | 12.3523 | + | 16.4398i | 0.443709 | + | 0.590533i | ||||
\(776\) | 46.2404 | − | 53.3643i | 1.65993 | − | 1.91567i | ||||
\(777\) | 29.3393 | − | 25.4227i | 1.05254 | − | 0.912033i | ||||
\(778\) | 14.5086 | + | 22.5758i | 0.520159 | + | 0.809383i | ||||
\(779\) | 26.1498 | + | 16.8054i | 0.936913 | + | 0.602118i | ||||
\(780\) | 0.558563 | − | 0.143094i | 0.0199998 | − | 0.00512359i | ||||
\(781\) | −13.2214 | + | 33.3453i | −0.473099 | + | 1.19319i | ||||
\(782\) | 0.231392 | + | 0.0332692i | 0.00827457 | + | 0.00118970i | ||||
\(783\) | 5.46717 | + | 4.73733i | 0.195381 | + | 0.169298i | ||||
\(784\) | −112.291 | − | 72.1648i | −4.01038 | − | 2.57732i | ||||
\(785\) | −0.595434 | + | 17.0981i | −0.0212519 | + | 0.610256i | ||||
\(786\) | −19.4247 | + | 135.102i | −0.692856 | + | 4.81892i | ||||
\(787\) | −46.1010 | − | 6.62833i | −1.64332 | − | 0.236274i | −0.742308 | − | 0.670059i | \(-0.766269\pi\) |
−0.901017 | + | 0.433785i | \(0.857178\pi\) | |||||||
\(788\) | 7.41247 | + | 1.06575i | 0.264058 | + | 0.0379659i | ||||
\(789\) | −58.2701 | − | 37.4479i | −2.07447 | − | 1.33318i | ||||
\(790\) | 16.7353 | − | 24.1493i | 0.595416 | − | 0.859192i | ||||
\(791\) | 0.306643 | − | 2.13275i | 0.0109030 | − | 0.0758318i | ||||
\(792\) | 122.576 | − | 117.654i | 4.35553 | − | 4.18064i | ||||
\(793\) | −0.116285 | + | 0.0167192i | −0.00412940 | + | 0.000593718i | ||||
\(794\) | 25.2680 | + | 16.2387i | 0.896727 | + | 0.576291i | ||||
\(795\) | 26.2750 | + | 32.5460i | 0.931879 | + | 1.15429i | ||||
\(796\) | 92.8914 | + | 107.202i | 3.29245 | + | 3.79969i | ||||
\(797\) | −11.7477 | − | 10.1794i | −0.416124 | − | 0.360574i | 0.421493 | − | 0.906832i | \(-0.361506\pi\) |
−0.837617 | + | 0.546258i | \(0.816052\pi\) | |||||||
\(798\) | −200.149 | + | 91.4048i | −7.08519 | + | 3.23570i | ||||
\(799\) | 0.290567 | − | 0.186736i | 0.0102795 | − | 0.00660624i | ||||
\(800\) | −76.5334 | + | 5.61062i | −2.70587 | + | 0.198366i | ||||
\(801\) | 29.7317 | + | 34.3122i | 1.05052 | + | 1.21236i | ||||
\(802\) | 4.39879 | + | 2.00886i | 0.155327 | + | 0.0709354i | ||||
\(803\) | −0.581481 | − | 0.454171i | −0.0205200 | − | 0.0160273i | ||||
\(804\) | −83.4892 | − | 182.816i | −2.94444 | − | 6.44742i | ||||
\(805\) | −26.8408 | − | 8.90696i | −0.946013 | − | 0.313929i | ||||
\(806\) | 0.0259985 | + | 0.180824i | 0.000915759 | + | 0.00636925i | ||||
\(807\) | 47.9547i | 1.68808i | ||||||||
\(808\) | 1.95263 | + | 6.65006i | 0.0686934 | + | 0.233948i | ||||
\(809\) | 2.73991 | + | 1.76084i | 0.0963302 | + | 0.0619077i | 0.587919 | − | 0.808920i | \(-0.299947\pi\) |
−0.491589 | + | 0.870827i | \(0.663584\pi\) | |||||||
\(810\) | −60.7648 | − | 10.9074i | −2.13506 | − | 0.383246i | ||||
\(811\) | 3.82663 | − | 1.12360i | 0.134371 | − | 0.0394550i | −0.213855 | − | 0.976865i | \(-0.568602\pi\) |
0.348227 | + | 0.937410i | \(0.386784\pi\) | |||||||
\(812\) | 8.96201 | + | 13.9452i | 0.314505 | + | 0.489379i | ||||
\(813\) | 0.282999 | + | 0.245220i | 0.00992521 | + | 0.00860024i | ||||
\(814\) | 5.13719 | + | 26.1869i | 0.180058 | + | 0.917850i | ||||
\(815\) | 0.562235 | + | 0.522526i | 0.0196942 | + | 0.0183033i | ||||
\(816\) | 1.02650 | + | 0.301408i | 0.0359347 | + | 0.0105514i | ||||
\(817\) | −2.94052 | + | 10.0145i | −0.102876 | + | 0.350362i | ||||
\(818\) | 38.1930 | + | 33.0944i | 1.33539 | + | 1.15712i | ||||
\(819\) | 0.417955 | + | 0.122723i | 0.0146045 | + | 0.00428828i | ||||
\(820\) | 5.99365 | + | 55.2864i | 0.209307 | + | 1.93069i | ||||
\(821\) | −19.9184 | − | 43.6151i | −0.695155 | − | 1.52218i | −0.845748 | − | 0.533582i | \(-0.820846\pi\) |
0.150593 | − | 0.988596i | \(-0.451882\pi\) | |||||||
\(822\) | −68.8084 | + | 59.6228i | −2.39997 | + | 2.07958i | ||||
\(823\) | 0.342557 | − | 0.156440i | 0.0119408 | − | 0.00545317i | −0.409436 | − | 0.912339i | \(-0.634274\pi\) |
0.421376 | + | 0.906886i | \(0.361547\pi\) | |||||||
\(824\) | −73.4006 | + | 47.1717i | −2.55703 | + | 1.64330i | ||||
\(825\) | −15.0277 | + | 47.8498i | −0.523199 | + | 1.66592i | ||||
\(826\) | −84.4724 | − | 54.2871i | −2.93917 | − | 1.88889i | ||||
\(827\) | 11.7524 | + | 1.68974i | 0.408670 | + | 0.0587579i | 0.343584 | − | 0.939122i | \(-0.388359\pi\) |
0.0650856 | + | 0.997880i | \(0.479268\pi\) | |||||||
\(828\) | 70.6917 | + | 61.2547i | 2.45670 | + | 2.12875i | ||||
\(829\) | −6.33537 | − | 44.0634i | −0.220036 | − | 1.53039i | −0.737892 | − | 0.674919i | \(-0.764179\pi\) |
0.517856 | − | 0.855468i | \(-0.326730\pi\) | |||||||
\(830\) | 34.8310 | − | 37.4779i | 1.20900 | − | 1.30088i | ||||
\(831\) | −19.0221 | + | 12.2248i | −0.659869 | + | 0.424072i | ||||
\(832\) | −0.256901 | − | 0.117323i | −0.00890645 | − | 0.00406744i | ||||
\(833\) | −0.298461 | − | 0.136302i | −0.0103410 | − | 0.00472260i | ||||
\(834\) | 112.965 | − | 33.1696i | 3.91167 | − | 1.14857i | ||||
\(835\) | 26.0985 | − | 10.8376i | 0.903176 | − | 0.375049i | ||||
\(836\) | 9.98127 | − | 108.322i | 0.345209 | − | 3.74638i | ||||
\(837\) | 11.0281 | − | 37.5584i | 0.381188 | − | 1.29821i | ||||
\(838\) | 60.3274i | 2.08398i | ||||||||
\(839\) | 9.25305 | + | 20.2613i | 0.319451 | + | 0.699499i | 0.999431 | − | 0.0337310i | \(-0.0107390\pi\) |
−0.679980 | + | 0.733230i | \(0.738012\pi\) | |||||||
\(840\) | −214.669 | − | 107.217i | −7.40677 | − | 3.69933i | ||||
\(841\) | 4.04492 | + | 28.1330i | 0.139480 | + | 0.970104i | ||||
\(842\) | 72.5568 | + | 33.1356i | 2.50047 | + | 1.14193i | ||||
\(843\) | 17.4575 | + | 59.4547i | 0.601268 | + | 2.04773i | ||||
\(844\) | −44.1109 | −1.51836 | ||||||||
\(845\) | 28.1589 | − | 7.21382i | 0.968696 | − | 0.248163i | ||||
\(846\) | 192.161 | 6.60662 | ||||||||
\(847\) | −4.76077 | − | 46.5909i | −0.163582 | − | 1.60088i | ||||
\(848\) | − | 74.1964i | − | 2.54791i | ||||||
\(849\) | −3.33778 | − | 23.2148i | −0.114552 | − | 0.796729i | ||||
\(850\) | −0.384346 | + | 0.0843255i | −0.0131829 | + | 0.00289234i | ||||
\(851\) | −8.59292 | + | 2.52311i | −0.294562 | + | 0.0864911i | ||||
\(852\) | −152.421 | − | 69.6082i | −5.22184 | − | 2.38474i | ||||
\(853\) | −38.3011 | + | 5.50687i | −1.31140 | + | 0.188552i | −0.762312 | − | 0.647210i | \(-0.775936\pi\) |
−0.549093 | + | 0.835761i | \(0.685027\pi\) | |||||||
\(854\) | 67.4713 | + | 43.3612i | 2.30882 | + | 1.48379i | ||||
\(855\) | −75.6468 | + | 44.9744i | −2.58707 | + | 1.53809i | ||||
\(856\) | −1.12835 | −0.0385662 | ||||||||
\(857\) | 6.60918 | − | 22.5088i | 0.225765 | − | 0.768885i | −0.766225 | − | 0.642572i | \(-0.777867\pi\) |
0.991990 | − | 0.126313i | \(-0.0403145\pi\) | |||||||
\(858\) | −0.321452 | + | 0.308545i | −0.0109742 | + | 0.0105335i | ||||
\(859\) | 37.3982 | − | 10.9811i | 1.27601 | − | 0.374671i | 0.427581 | − | 0.903977i | \(-0.359366\pi\) |
0.848431 | + | 0.529306i | \(0.177548\pi\) | |||||||
\(860\) | −17.2447 | + | 7.16097i | −0.588040 | + | 0.244187i | ||||
\(861\) | −25.9696 | + | 56.8654i | −0.885041 | + | 1.93797i | ||||
\(862\) | 14.3242 | + | 6.54163i | 0.487883 | + | 0.222809i | ||||
\(863\) | 3.51395 | + | 5.46782i | 0.119616 | + | 0.186127i | 0.895898 | − | 0.444259i | \(-0.146533\pi\) |
−0.776282 | + | 0.630386i | \(0.782897\pi\) | |||||||
\(864\) | 95.6617 | + | 110.400i | 3.25448 | + | 3.75587i | ||||
\(865\) | −6.64375 | − | 25.9337i | −0.225894 | − | 0.881772i | ||||
\(866\) | −64.3977 | + | 74.3189i | −2.18832 | + | 2.52546i | ||||
\(867\) | −50.8890 | − | 7.31674i | −1.72828 | − | 0.248489i | ||||
\(868\) | 48.4937 | − | 75.4577i | 1.64598 | − | 2.56120i | ||||
\(869\) | −1.49829 | + | 16.2602i | −0.0508260 | + | 0.551589i | ||||
\(870\) | 8.61703 | + | 10.6736i | 0.292145 | + | 0.361870i | ||||
\(871\) | 0.0896924 | + | 0.196399i | 0.00303911 | + | 0.00665472i | ||||
\(872\) | 76.6023 | − | 66.3762i | 2.59408 | − | 2.24778i | ||||
\(873\) | 47.3768 | − | 21.6363i | 1.60346 | − | 0.732277i | ||||
\(874\) | 50.7591 | 1.71695 | ||||||||
\(875\) | 47.5663 | − | 1.82592i | 1.60803 | − | 0.0617272i | ||||
\(876\) | 2.25705 | − | 2.60477i | 0.0762586 | − | 0.0880071i | ||||
\(877\) | −4.66362 | + | 15.8828i | −0.157479 | + | 0.536326i | −0.999997 | − | 0.00234286i | \(-0.999254\pi\) |
0.842518 | + | 0.538668i | \(0.181072\pi\) | |||||||
\(878\) | 1.28314 | − | 4.36996i | 0.0433037 | − | 0.147479i | ||||
\(879\) | −40.9497 | − | 47.2584i | −1.38120 | − | 1.59399i | ||||
\(880\) | 74.0577 | − | 49.2969i | 2.49648 | − | 1.66180i | ||||
\(881\) | 21.6769 | − | 25.0165i | 0.730314 | − | 0.842828i | −0.262193 | − | 0.965016i | \(-0.584446\pi\) |
0.992507 | + | 0.122188i | \(0.0389910\pi\) | |||||||
\(882\) | −98.6906 | − | 153.566i | −3.32309 | − | 5.17082i | ||||
\(883\) | 4.45881 | + | 15.1853i | 0.150051 | + | 0.511027i | 0.999871 | − | 0.0160459i | \(-0.00510779\pi\) |
−0.849820 | + | 0.527073i | \(0.823290\pi\) | |||||||
\(884\) | −0.00241231 | 0.000708317i | −8.11347e−5 | 2.38233e-5i | ||||||
\(885\) | −53.4651 | − | 26.7033i | −1.79721 | − | 0.897620i | ||||
\(886\) | −30.7162 | + | 9.01909i | −1.03193 | + | 0.303002i | ||||
\(887\) | − | 4.26778i | − | 0.143298i | −0.997430 | − | 0.0716491i | \(-0.977174\pi\) | ||
0.997430 | − | 0.0716491i | \(-0.0228262\pi\) | |||||||
\(888\) | −75.2150 | + | 10.8143i | −2.52405 | + | 0.362903i | ||||
\(889\) | −19.9268 | + | 43.6337i | −0.668325 | + | 1.46343i | ||||
\(890\) | 22.5247 | + | 37.8866i | 0.755031 | + | 1.26996i | ||||
\(891\) | 32.3863 | − | 11.3293i | 1.08498 | − | 0.379547i | ||||
\(892\) | 111.839 | + | 51.0752i | 3.74465 | + | 1.71012i | ||||
\(893\) | 56.6785 | − | 49.1122i | 1.89668 | − | 1.64348i | ||||
\(894\) | −6.62363 | + | 46.0684i | −0.221527 | + | 1.54076i | ||||
\(895\) | 0.00785266 | + | 0.00972684i | 0.000262485 | + | 0.000325132i | ||||
\(896\) | 25.8055 | + | 56.5061i | 0.862100 | + | 1.88774i | ||||
\(897\) | −0.113008 | − | 0.0979216i | −0.00377321 | − | 0.00326951i | ||||
\(898\) | 0.851298 | − | 0.737654i | 0.0284082 | − | 0.0246158i | ||||
\(899\) | −2.62959 | + | 1.68994i | −0.0877019 | + | 0.0563626i | ||||
\(900\) | −147.616 | − | 54.7589i | −4.92052 | − | 1.82530i | ||||
\(901\) | −0.0259560 | − | 0.180528i | −0.000864719 | − | 0.00601425i | ||||
\(902\) | −25.0426 | − | 34.9219i | −0.833828 | − | 1.16277i | ||||
\(903\) | −20.7771 | − | 2.98729i | −0.691418 | − | 0.0994109i | ||||
\(904\) | −2.76189 | + | 3.18740i | −0.0918593 | + | 0.106011i | ||||
\(905\) | −5.46801 | + | 10.9480i | −0.181763 | + | 0.363924i | ||||
\(906\) | −6.89917 | + | 47.9848i | −0.229209 | + | 1.59419i | ||||
\(907\) | −16.8682 | − | 2.42528i | −0.560100 | − | 0.0805302i | −0.143550 | − | 0.989643i | \(-0.545852\pi\) |
−0.416550 | + | 0.909113i | \(0.636761\pi\) | |||||||
\(908\) | 90.5127 | + | 13.0138i | 3.00377 | + | 0.431877i | ||||
\(909\) | −0.727548 | + | 5.06021i | −0.0241312 | + | 0.167836i | ||||
\(910\) | 0.378326 | + | 0.188956i | 0.0125414 | + | 0.00626383i | ||||
\(911\) | 22.2093 | − | 25.6308i | 0.735825 | − | 0.849188i | −0.257289 | − | 0.966334i | \(-0.582829\pi\) |
0.993115 | + | 0.117147i | \(0.0373748\pi\) | |||||||
\(912\) | 229.931 | + | 33.0590i | 7.61376 | + | 1.09469i | ||||
\(913\) | −6.61226 | + | 27.6559i | −0.218834 | + | 0.915276i | ||||
\(914\) | 6.08733 | + | 42.3383i | 0.201351 | + | 1.40043i | ||||
\(915\) | 42.7046 | + | 21.3289i | 1.41177 | + | 0.705112i | ||||
\(916\) | 111.781 | − | 71.8370i | 3.69333 | − | 2.37356i | ||||
\(917\) | −54.4108 | + | 47.1473i | −1.79680 | + | 1.55694i | ||||
\(918\) | 0.566086 | + | 0.490517i | 0.0186836 | + | 0.0161895i | ||||
\(919\) | −13.9221 | − | 30.4851i | −0.459247 | − | 1.00561i | −0.987659 | − | 0.156622i | \(-0.949940\pi\) |
0.528412 | − | 0.848988i | \(-0.322788\pi\) | |||||||
\(920\) | 34.7718 | + | 43.0707i | 1.14639 | + | 1.42000i | ||||
\(921\) | −6.46611 | + | 44.9728i | −0.213066 | + | 1.48190i | ||||
\(922\) | 62.9548 | − | 54.5506i | 2.07331 | − | 1.79653i | ||||
\(923\) | 0.163745 | + | 0.0747800i | 0.00538974 | + | 0.00246141i | ||||
\(924\) | 218.489 | − | 11.1339i | 7.18776 | − | 0.366278i | ||||
\(925\) | 12.0515 | − | 9.05515i | 0.396252 | − | 0.297732i | ||||
\(926\) | 41.6930 | − | 91.2948i | 1.37012 | − | 3.00013i | ||||
\(927\) | −63.7026 | + | 9.15905i | −2.09227 | + | 0.300823i | ||||
\(928\) | − | 11.6650i | − | 0.382924i | ||||||
\(929\) | −53.2139 | + | 15.6250i | −1.74589 | + | 0.512640i | −0.989878 | − | 0.141919i | \(-0.954673\pi\) |
−0.756012 | + | 0.654558i | \(0.772855\pi\) | |||||||
\(930\) | 33.1666 | − | 66.4059i | 1.08758 | − | 2.17753i | ||||
\(931\) | −68.3573 | − | 20.0715i | −2.24032 | − | 0.657818i | ||||
\(932\) | 22.8837 | + | 77.9348i | 0.749581 | + | 2.55284i | ||||
\(933\) | 6.71811 | + | 10.4536i | 0.219941 | + | 0.342235i | ||||
\(934\) | 25.6055 | − | 29.5503i | 0.837838 | − | 0.966917i | ||||
\(935\) | 0.162945 | − | 0.145852i | 0.00532886 | − | 0.00476987i | ||||
\(936\) | −0.558358 | − | 0.644379i | −0.0182505 | − | 0.0210622i | ||||
\(937\) | −5.38874 | + | 18.3524i | −0.176042 | + | 0.599546i | 0.823441 | + | 0.567402i | \(0.192051\pi\) |
−0.999483 | + | 0.0321434i | \(0.989767\pi\) | |||||||
\(938\) | 41.5275 | − | 141.430i | 1.35592 | − | 4.61785i | ||||
\(939\) | −36.6293 | + | 42.2725i | −1.19535 | + | 1.37951i | ||||
\(940\) | 132.059 | + | 23.7049i | 4.30730 | + | 0.773167i | ||||
\(941\) | −34.0047 | −1.10852 | −0.554260 | − | 0.832343i | \(-0.686999\pi\) | ||||
−0.554260 | + | 0.832343i | \(0.686999\pi\) | |||||||
\(942\) | 56.1761 | − | 25.6547i | 1.83032 | − | 0.835877i | ||||
\(943\) | 10.8990 | − | 9.44406i | 0.354921 | − | 0.307541i | ||||
\(944\) | 44.0375 | + | 96.4288i | 1.43330 | + | 3.13849i | ||||
\(945\) | −56.9199 | − | 70.5048i | −1.85160 | − | 2.29352i | ||||
\(946\) | 8.88185 | − | 11.3716i | 0.288774 | − | 0.369721i | ||||
\(947\) | −5.92327 | + | 9.21678i | −0.192480 | + | 0.299505i | −0.924058 | − | 0.382253i | \(-0.875148\pi\) |
0.731577 | + | 0.681759i | \(0.238785\pi\) | |||||||
\(948\) | −75.5014 | − | 10.8555i | −2.45217 | − | 0.352569i | ||||
\(949\) | −0.00242474 | + | 0.00279830i | −7.87106e−5 | + | 9.08368e-5i | ||||
\(950\) | −79.9982 | + | 30.0000i | −2.59548 | + | 0.973328i | ||||
\(951\) | −35.1753 | − | 40.5944i | −1.14064 | − | 1.31636i | ||||
\(952\) | 0.565656 | + | 0.880178i | 0.0183330 | + | 0.0285267i | ||||
\(953\) | 5.02958 | + | 2.29693i | 0.162924 | + | 0.0744049i | 0.495208 | − | 0.868775i | \(-0.335092\pi\) |
−0.332284 | + | 0.943179i | \(0.607819\pi\) | |||||||
\(954\) | 42.1517 | − | 92.2994i | 1.36471 | − | 2.98830i | ||||
\(955\) | −10.2677 | − | 24.7262i | −0.332255 | − | 0.800120i | ||||
\(956\) | −134.923 | + | 39.6169i | −4.36372 | + | 1.28130i | ||||
\(957\) | −7.08715 | − | 2.81005i | −0.229095 | − | 0.0908359i | ||||
\(958\) | −0.854430 | + | 2.90992i | −0.0276054 | + | 0.0940153i | ||||
\(959\) | −48.0249 | −1.55081 | ||||||||
\(960\) | 58.6434 | + | 98.6381i | 1.89271 | + | 3.18353i | ||||
\(961\) | −11.8500 | − | 7.61556i | −0.382259 | − | 0.245663i | ||||
\(962\) | 0.132557 | − | 0.0190588i | 0.00427380 | − | 0.000614480i | ||||
\(963\) | −0.757072 | − | 0.345743i | −0.0243963 | − | 0.0111414i | ||||
\(964\) | 7.80647 | − | 2.29219i | 0.251429 | − | 0.0738263i | ||||
\(965\) | 32.5260 | − | 3.52617i | 1.04705 | − | 0.113511i | ||||
\(966\) | 14.5280 | + | 101.044i | 0.467431 | + | 3.25105i | ||||
\(967\) | 11.4971i | 0.369723i | 0.982765 | + | 0.184862i | \(0.0591837\pi\) | ||||
−0.982765 | + | 0.184862i | \(0.940816\pi\) | |||||||
\(968\) | −41.4650 | + | 81.7571i | −1.33274 | + | 2.62777i | ||||
\(969\) | 0.571011 | 0.0183435 | ||||||||
\(970\) | 48.9819 | − | 12.5483i | 1.57271 | − | 0.402901i | ||||
\(971\) | −33.3563 | −1.07045 | −0.535227 | − | 0.844709i | \(-0.679774\pi\) | ||||
−0.535227 | + | 0.844709i | \(0.679774\pi\) | |||||||
\(972\) | 3.94548 | + | 13.4371i | 0.126551 | + | 0.430994i | ||||
\(973\) | 56.4901 | + | 25.7982i | 1.81099 | + | 0.827052i | ||||
\(974\) | 9.15222 | + | 63.6551i | 0.293256 | + | 2.03964i | ||||
\(975\) | 0.235978 | + | 0.0875375i | 0.00755735 | + | 0.00280344i | ||||
\(976\) | −35.1744 | − | 77.0213i | −1.12591 | − | 2.46539i | ||||
\(977\) | − | 22.2762i | − | 0.712677i | −0.934357 | − | 0.356339i | \(-0.884025\pi\) | ||
0.934357 | − | 0.356339i | \(-0.115975\pi\) | |||||||
\(978\) | 0.780589 | − | 2.65844i | 0.0249605 | − | 0.0850076i | ||||
\(979\) | −21.2549 | − | 12.1778i | −0.679310 | − | 0.389203i | ||||
\(980\) | −48.8797 | − | 117.710i | −1.56140 | − | 3.76010i | ||||
\(981\) | 71.7353 | − | 21.0634i | 2.29033 | − | 0.672502i | ||||
\(982\) | −28.7471 | − | 13.1284i | −0.917358 | − | 0.418943i | ||||
\(983\) | 16.9688 | + | 7.74938i | 0.541220 | + | 0.247167i | 0.667217 | − | 0.744864i | \(-0.267486\pi\) |
−0.125997 | + | 0.992031i | \(0.540213\pi\) | |||||||
\(984\) | 102.940 | − | 66.1556i | 3.28161 | − | 2.10896i | ||||
\(985\) | 2.39446 | + | 2.22535i | 0.0762937 | + | 0.0709054i | ||||
\(986\) | −0.00851240 | − | 0.0592050i | −0.000271090 | − | 0.00188547i | ||||
\(987\) | 113.988 | + | 98.7714i | 3.62829 | + | 3.14393i | ||||
\(988\) | −0.540343 | − | 0.0776896i | −0.0171906 | − | 0.00247164i | ||||
\(989\) | 4.07363 | + | 2.61796i | 0.129534 | + | 0.0832464i | ||||
\(990\) | 120.133 | − | 19.2518i | 3.81807 | − | 0.611864i | ||||
\(991\) | 18.7966 | − | 12.0799i | 0.597095 | − | 0.383730i | −0.206903 | − | 0.978361i | \(-0.566339\pi\) |
0.803998 | + | 0.594632i | \(0.202702\pi\) | |||||||
\(992\) | −57.4159 | + | 26.2209i | −1.82296 | + | 0.832516i | ||||
\(993\) | −17.6077 | + | 15.2572i | −0.558763 | + | 0.484171i | ||||
\(994\) | −51.0518 | − | 111.788i | −1.61926 | − | 3.54570i | ||||
\(995\) | 6.67352 | + | 61.5576i | 0.211565 | + | 1.95151i | ||||
\(996\) | −127.449 | − | 37.4224i | −4.03838 | − | 1.18578i | ||||
\(997\) | −45.0038 | − | 38.9960i | −1.42529 | − | 1.23502i | −0.930647 | − | 0.365918i | \(-0.880755\pi\) |
−0.494638 | − | 0.869099i | \(-0.664699\pi\) | |||||||
\(998\) | −4.61100 | + | 15.7036i | −0.145959 | + | 0.497090i | ||||
\(999\) | −27.5330 | − | 8.08442i | −0.871106 | − | 0.255780i |
(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 | 605.2.o.a.34.2 | ✓ | 640 | |
5.4 | even | 2 | inner | 605.2.o.a.34.63 | yes | 640 | |
121.89 | even | 11 | inner | 605.2.o.a.89.63 | yes | 640 | |
605.89 | even | 22 | inner | 605.2.o.a.89.2 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.o.a.34.2 | ✓ | 640 | 1.1 | even | 1 | trivial | |
605.2.o.a.34.63 | yes | 640 | 5.4 | even | 2 | inner | |
605.2.o.a.89.2 | yes | 640 | 605.89 | even | 22 | inner | |
605.2.o.a.89.63 | yes | 640 | 121.89 | even | 11 | inner |