Properties

Label 260.2.bj.c.3.19
Level $260$
Weight $2$
Character 260.3
Analytic conductor $2.076$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [260,2,Mod(3,260)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(260, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 9, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("260.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.bj (of order \(12\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 3.19
Character \(\chi\) \(=\) 260.3
Dual form 260.2.bj.c.87.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0733540 + 1.41231i) q^{2} +(2.99344 + 0.802089i) q^{3} +(-1.98924 - 0.207197i) q^{4} +(-1.68089 + 1.47466i) q^{5} +(-1.35238 + 4.16882i) q^{6} +(-0.986808 + 0.264414i) q^{7} +(0.438545 - 2.79422i) q^{8} +(5.71924 + 3.30200i) q^{9} +O(q^{10})\) \(q+(-0.0733540 + 1.41231i) q^{2} +(2.99344 + 0.802089i) q^{3} +(-1.98924 - 0.207197i) q^{4} +(-1.68089 + 1.47466i) q^{5} +(-1.35238 + 4.16882i) q^{6} +(-0.986808 + 0.264414i) q^{7} +(0.438545 - 2.79422i) q^{8} +(5.71924 + 3.30200i) q^{9} +(-1.95938 - 2.48210i) q^{10} +(-0.266960 + 0.154129i) q^{11} +(-5.78847 - 2.21578i) q^{12} +(-1.08800 + 3.43748i) q^{13} +(-0.301049 - 1.41307i) q^{14} +(-6.21443 + 3.06608i) q^{15} +(3.91414 + 0.824329i) q^{16} +(-0.295803 - 1.10395i) q^{17} +(-5.08298 + 7.83512i) q^{18} +(3.40838 - 5.90348i) q^{19} +(3.64923 - 2.58518i) q^{20} -3.16603 q^{21} +(-0.198096 - 0.388336i) q^{22} +(7.36317 + 1.97296i) q^{23} +(3.55397 - 8.01257i) q^{24} +(0.650749 - 4.95747i) q^{25} +(-4.77497 - 1.78875i) q^{26} +(7.89763 + 7.89763i) q^{27} +(2.01778 - 0.321520i) q^{28} +(1.81323 - 1.04687i) q^{29} +(-3.87441 - 9.00161i) q^{30} -5.52116i q^{31} +(-1.45133 + 5.46751i) q^{32} +(-0.922752 + 0.247251i) q^{33} +(1.58082 - 0.336786i) q^{34} +(1.26879 - 1.89966i) q^{35} +(-10.6928 - 7.75348i) q^{36} +(-9.73761 - 2.60918i) q^{37} +(8.08753 + 5.24673i) q^{38} +(-6.01403 + 9.41719i) q^{39} +(3.38339 + 5.34347i) q^{40} +(0.175505 + 0.303984i) q^{41} +(0.232241 - 4.47142i) q^{42} +(-1.46006 - 5.44901i) q^{43} +(0.562981 - 0.251286i) q^{44} +(-14.4827 + 2.88365i) q^{45} +(-3.32654 + 10.2544i) q^{46} +(3.04651 + 3.04651i) q^{47} +(11.0555 + 5.60706i) q^{48} +(-5.15830 + 2.97815i) q^{49} +(6.95375 + 1.28271i) q^{50} -3.54186i q^{51} +(2.87653 - 6.61253i) q^{52} +(-0.101245 - 0.101245i) q^{53} +(-11.7332 + 10.5746i) q^{54} +(0.221440 - 0.652748i) q^{55} +(0.306073 + 2.87332i) q^{56} +(14.9379 - 14.9379i) q^{57} +(1.34550 + 2.63764i) q^{58} +(-0.416548 + 0.721482i) q^{59} +(12.9973 - 4.81156i) q^{60} +(3.06320 - 5.30563i) q^{61} +(7.79758 + 0.404999i) q^{62} +(-6.51689 - 1.74619i) q^{63} +(-7.61536 - 2.45078i) q^{64} +(-3.24031 - 7.38244i) q^{65} +(-0.281507 - 1.32135i) q^{66} +(-0.145460 + 0.542865i) q^{67} +(0.359687 + 2.25731i) q^{68} +(20.4587 + 11.8118i) q^{69} +(2.58983 + 1.93127i) q^{70} +(8.04048 + 4.64217i) q^{71} +(11.7347 - 14.5327i) q^{72} +(5.25213 + 5.25213i) q^{73} +(4.39927 - 13.5611i) q^{74} +(5.92431 - 14.3179i) q^{75} +(-8.00326 + 11.0372i) q^{76} +(0.222684 - 0.222684i) q^{77} +(-12.8588 - 9.18446i) q^{78} -12.9404 q^{79} +(-7.79482 + 4.38643i) q^{80} +(7.40044 + 12.8179i) q^{81} +(-0.442194 + 0.225570i) q^{82} +(-0.855219 + 0.855219i) q^{83} +(6.29799 + 0.655992i) q^{84} +(2.12516 + 1.41940i) q^{85} +(7.80279 - 1.66235i) q^{86} +(6.26747 - 1.67936i) q^{87} +(0.313597 + 0.813537i) q^{88} +(-10.8996 + 6.29287i) q^{89} +(-3.01024 - 20.6656i) q^{90} +(0.164732 - 3.67981i) q^{91} +(-14.2383 - 5.45031i) q^{92} +(4.42846 - 16.5272i) q^{93} +(-4.52609 + 4.07915i) q^{94} +(2.97654 + 14.9493i) q^{95} +(-8.72988 + 15.2025i) q^{96} +(1.14860 + 4.28664i) q^{97} +(-3.82769 - 7.50358i) q^{98} -2.03574 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0733540 + 1.41231i −0.0518691 + 0.998654i
\(3\) 2.99344 + 0.802089i 1.72826 + 0.463086i 0.979781 0.200071i \(-0.0641174\pi\)
0.748480 + 0.663158i \(0.230784\pi\)
\(4\) −1.98924 0.207197i −0.994619 0.103599i
\(5\) −1.68089 + 1.47466i −0.751715 + 0.659488i
\(6\) −1.35238 + 4.16882i −0.552106 + 1.70191i
\(7\) −0.986808 + 0.264414i −0.372978 + 0.0999392i −0.440439 0.897783i \(-0.645177\pi\)
0.0674603 + 0.997722i \(0.478510\pi\)
\(8\) 0.438545 2.79422i 0.155049 0.987907i
\(9\) 5.71924 + 3.30200i 1.90641 + 1.10067i
\(10\) −1.95938 2.48210i −0.619610 0.784910i
\(11\) −0.266960 + 0.154129i −0.0804913 + 0.0464717i −0.539705 0.841854i \(-0.681464\pi\)
0.459214 + 0.888326i \(0.348131\pi\)
\(12\) −5.78847 2.21578i −1.67099 0.639640i
\(13\) −1.08800 + 3.43748i −0.301758 + 0.953385i
\(14\) −0.301049 1.41307i −0.0804587 0.377660i
\(15\) −6.21443 + 3.06608i −1.60456 + 0.791660i
\(16\) 3.91414 + 0.824329i 0.978535 + 0.206082i
\(17\) −0.295803 1.10395i −0.0717427 0.267747i 0.920732 0.390195i \(-0.127592\pi\)
−0.992475 + 0.122448i \(0.960926\pi\)
\(18\) −5.08298 + 7.83512i −1.19807 + 1.84676i
\(19\) 3.40838 5.90348i 0.781935 1.35435i −0.148878 0.988856i \(-0.547566\pi\)
0.930813 0.365496i \(-0.119101\pi\)
\(20\) 3.64923 2.58518i 0.815992 0.578063i
\(21\) −3.16603 −0.690884
\(22\) −0.198096 0.388336i −0.0422341 0.0827934i
\(23\) 7.36317 + 1.97296i 1.53533 + 0.411390i 0.924753 0.380568i \(-0.124272\pi\)
0.610575 + 0.791958i \(0.290938\pi\)
\(24\) 3.55397 8.01257i 0.725451 1.63556i
\(25\) 0.650749 4.95747i 0.130150 0.991494i
\(26\) −4.77497 1.78875i −0.936449 0.350803i
\(27\) 7.89763 + 7.89763i 1.51990 + 1.51990i
\(28\) 2.01778 0.321520i 0.381325 0.0607615i
\(29\) 1.81323 1.04687i 0.336709 0.194399i −0.322107 0.946703i \(-0.604391\pi\)
0.658816 + 0.752304i \(0.271058\pi\)
\(30\) −3.87441 9.00161i −0.707367 1.64346i
\(31\) 5.52116i 0.991629i −0.868429 0.495814i \(-0.834870\pi\)
0.868429 0.495814i \(-0.165130\pi\)
\(32\) −1.45133 + 5.46751i −0.256560 + 0.966528i
\(33\) −0.922752 + 0.247251i −0.160630 + 0.0430408i
\(34\) 1.58082 0.336786i 0.271108 0.0577583i
\(35\) 1.26879 1.89966i 0.214464 0.321101i
\(36\) −10.6928 7.75348i −1.78213 1.29225i
\(37\) −9.73761 2.60918i −1.60085 0.428947i −0.655553 0.755150i \(-0.727564\pi\)
−0.945300 + 0.326202i \(0.894231\pi\)
\(38\) 8.08753 + 5.24673i 1.31197 + 0.851131i
\(39\) −6.01403 + 9.41719i −0.963016 + 1.50796i
\(40\) 3.38339 + 5.34347i 0.534961 + 0.844877i
\(41\) 0.175505 + 0.303984i 0.0274093 + 0.0474744i 0.879405 0.476075i \(-0.157941\pi\)
−0.851995 + 0.523549i \(0.824608\pi\)
\(42\) 0.232241 4.47142i 0.0358355 0.689954i
\(43\) −1.46006 5.44901i −0.222657 0.830966i −0.983330 0.181831i \(-0.941798\pi\)
0.760673 0.649135i \(-0.224869\pi\)
\(44\) 0.562981 0.251286i 0.0848726 0.0378829i
\(45\) −14.4827 + 2.88365i −2.15896 + 0.429869i
\(46\) −3.32654 + 10.2544i −0.490472 + 1.51192i
\(47\) 3.04651 + 3.04651i 0.444380 + 0.444380i 0.893481 0.449101i \(-0.148256\pi\)
−0.449101 + 0.893481i \(0.648256\pi\)
\(48\) 11.0555 + 5.60706i 1.59573 + 0.809310i
\(49\) −5.15830 + 2.97815i −0.736900 + 0.425450i
\(50\) 6.95375 + 1.28271i 0.983409 + 0.181403i
\(51\) 3.54186i 0.495960i
\(52\) 2.87653 6.61253i 0.398903 0.916993i
\(53\) −0.101245 0.101245i −0.0139071 0.0139071i 0.700119 0.714026i \(-0.253130\pi\)
−0.714026 + 0.700119i \(0.753130\pi\)
\(54\) −11.7332 + 10.5746i −1.59669 + 1.43902i
\(55\) 0.221440 0.652748i 0.0298590 0.0880166i
\(56\) 0.306073 + 2.87332i 0.0409007 + 0.383963i
\(57\) 14.9379 14.9379i 1.97857 1.97857i
\(58\) 1.34550 + 2.63764i 0.176672 + 0.346339i
\(59\) −0.416548 + 0.721482i −0.0542299 + 0.0939290i −0.891866 0.452300i \(-0.850604\pi\)
0.837636 + 0.546229i \(0.183937\pi\)
\(60\) 12.9973 4.81156i 1.67794 0.621170i
\(61\) 3.06320 5.30563i 0.392203 0.679316i −0.600537 0.799597i \(-0.705046\pi\)
0.992740 + 0.120281i \(0.0383797\pi\)
\(62\) 7.79758 + 0.404999i 0.990294 + 0.0514349i
\(63\) −6.51689 1.74619i −0.821050 0.220000i
\(64\) −7.61536 2.45078i −0.951920 0.306348i
\(65\) −3.24031 7.38244i −0.401910 0.915679i
\(66\) −0.281507 1.32135i −0.0346511 0.162647i
\(67\) −0.145460 + 0.542865i −0.0177708 + 0.0663215i −0.974242 0.225506i \(-0.927597\pi\)
0.956471 + 0.291827i \(0.0942632\pi\)
\(68\) 0.359687 + 2.25731i 0.0436184 + 0.273739i
\(69\) 20.4587 + 11.8118i 2.46294 + 1.42198i
\(70\) 2.58983 + 1.93127i 0.309544 + 0.230831i
\(71\) 8.04048 + 4.64217i 0.954229 + 0.550924i 0.894392 0.447284i \(-0.147609\pi\)
0.0598370 + 0.998208i \(0.480942\pi\)
\(72\) 11.7347 14.5327i 1.38294 1.71270i
\(73\) 5.25213 + 5.25213i 0.614715 + 0.614715i 0.944171 0.329456i \(-0.106865\pi\)
−0.329456 + 0.944171i \(0.606865\pi\)
\(74\) 4.39927 13.5611i 0.511404 1.57645i
\(75\) 5.92431 14.3179i 0.684080 1.65329i
\(76\) −8.00326 + 11.0372i −0.918036 + 1.26606i
\(77\) 0.222684 0.222684i 0.0253772 0.0253772i
\(78\) −12.8588 9.18446i −1.45598 1.03994i
\(79\) −12.9404 −1.45590 −0.727952 0.685628i \(-0.759528\pi\)
−0.727952 + 0.685628i \(0.759528\pi\)
\(80\) −7.79482 + 4.38643i −0.871488 + 0.490417i
\(81\) 7.40044 + 12.8179i 0.822271 + 1.42422i
\(82\) −0.442194 + 0.225570i −0.0488321 + 0.0249100i
\(83\) −0.855219 + 0.855219i −0.0938725 + 0.0938725i −0.752484 0.658611i \(-0.771144\pi\)
0.658611 + 0.752484i \(0.271144\pi\)
\(84\) 6.29799 + 0.655992i 0.687167 + 0.0715746i
\(85\) 2.12516 + 1.41940i 0.230506 + 0.153956i
\(86\) 7.80279 1.66235i 0.841397 0.179256i
\(87\) 6.26747 1.67936i 0.671944 0.180047i
\(88\) 0.313597 + 0.813537i 0.0334296 + 0.0867233i
\(89\) −10.8996 + 6.29287i −1.15535 + 0.667042i −0.950186 0.311685i \(-0.899107\pi\)
−0.205166 + 0.978727i \(0.565773\pi\)
\(90\) −3.01024 20.6656i −0.317307 2.17835i
\(91\) 0.164732 3.67981i 0.0172686 0.385749i
\(92\) −14.2383 5.45031i −1.48445 0.568234i
\(93\) 4.42846 16.5272i 0.459210 1.71379i
\(94\) −4.52609 + 4.07915i −0.466831 + 0.420732i
\(95\) 2.97654 + 14.9493i 0.305387 + 1.53376i
\(96\) −8.72988 + 15.2025i −0.890989 + 1.55160i
\(97\) 1.14860 + 4.28664i 0.116623 + 0.435243i 0.999403 0.0345434i \(-0.0109977\pi\)
−0.882780 + 0.469786i \(0.844331\pi\)
\(98\) −3.82769 7.50358i −0.386655 0.757976i
\(99\) −2.03574 −0.204600
\(100\) −2.32167 + 9.72676i −0.232167 + 0.972676i
\(101\) −6.58548 11.4064i −0.655280 1.13498i −0.981823 0.189796i \(-0.939217\pi\)
0.326543 0.945182i \(-0.394116\pi\)
\(102\) 5.00221 + 0.259810i 0.495293 + 0.0257250i
\(103\) 1.66528 1.66528i 0.164085 0.164085i −0.620289 0.784374i \(-0.712985\pi\)
0.784374 + 0.620289i \(0.212985\pi\)
\(104\) 9.12794 + 4.54761i 0.895068 + 0.445930i
\(105\) 5.32173 4.66882i 0.519348 0.455630i
\(106\) 0.150416 0.135563i 0.0146097 0.0131670i
\(107\) 0.742711 2.77183i 0.0718006 0.267963i −0.920688 0.390299i \(-0.872372\pi\)
0.992489 + 0.122335i \(0.0390384\pi\)
\(108\) −14.0739 17.3466i −1.35426 1.66918i
\(109\) 10.5037i 1.00607i −0.864265 0.503037i \(-0.832216\pi\)
0.864265 0.503037i \(-0.167784\pi\)
\(110\) 0.905639 + 0.360624i 0.0863493 + 0.0343841i
\(111\) −27.0561 15.6208i −2.56805 1.48267i
\(112\) −4.08047 + 0.221501i −0.385568 + 0.0209298i
\(113\) 7.62410 2.04287i 0.717215 0.192177i 0.118286 0.992980i \(-0.462260\pi\)
0.598929 + 0.800802i \(0.295593\pi\)
\(114\) 20.0012 + 22.1927i 1.87328 + 2.07853i
\(115\) −15.2861 + 7.54187i −1.42544 + 0.703283i
\(116\) −3.82386 + 1.70678i −0.355036 + 0.158470i
\(117\) −17.5731 + 16.0672i −1.62463 + 1.48541i
\(118\) −0.988401 0.641219i −0.0909897 0.0590290i
\(119\) 0.583801 + 1.01117i 0.0535169 + 0.0926940i
\(120\) 5.84201 + 18.7091i 0.533301 + 1.70790i
\(121\) −5.45249 + 9.44399i −0.495681 + 0.858544i
\(122\) 7.26849 + 4.71538i 0.658058 + 0.426911i
\(123\) 0.281542 + 1.05073i 0.0253858 + 0.0947410i
\(124\) −1.14397 + 10.9829i −0.102731 + 0.986293i
\(125\) 6.21676 + 9.29257i 0.556044 + 0.831153i
\(126\) 2.94421 9.07577i 0.262291 0.808534i
\(127\) −0.0883922 + 0.329884i −0.00784354 + 0.0292725i −0.969737 0.244153i \(-0.921490\pi\)
0.961893 + 0.273426i \(0.0881567\pi\)
\(128\) 4.01988 10.5755i 0.355311 0.934748i
\(129\) 17.4824i 1.53924i
\(130\) 10.6640 4.03478i 0.935293 0.353874i
\(131\) 15.3787i 1.34364i 0.740713 + 0.671821i \(0.234488\pi\)
−0.740713 + 0.671821i \(0.765512\pi\)
\(132\) 1.88680 0.300649i 0.164225 0.0261681i
\(133\) −1.80245 + 6.72682i −0.156292 + 0.583290i
\(134\) −0.756023 0.245256i −0.0653104 0.0211869i
\(135\) −24.9213 1.62868i −2.14489 0.140175i
\(136\) −3.21441 + 0.342406i −0.275633 + 0.0293611i
\(137\) 2.17347 + 8.11149i 0.185692 + 0.693011i 0.994481 + 0.104913i \(0.0334564\pi\)
−0.808790 + 0.588098i \(0.799877\pi\)
\(138\) −18.1827 + 28.0276i −1.54781 + 2.38587i
\(139\) 0.934226 1.61813i 0.0792400 0.137248i −0.823682 0.567052i \(-0.808084\pi\)
0.902922 + 0.429804i \(0.141417\pi\)
\(140\) −2.91753 + 3.51598i −0.246576 + 0.297155i
\(141\) 6.67597 + 11.5631i 0.562218 + 0.973790i
\(142\) −7.14599 + 11.0151i −0.599678 + 0.924369i
\(143\) −0.239363 1.08536i −0.0200165 0.0907624i
\(144\) 19.6640 + 17.6390i 1.63866 + 1.46992i
\(145\) −1.50406 + 4.43357i −0.124905 + 0.368188i
\(146\) −7.80290 + 7.03237i −0.645772 + 0.582003i
\(147\) −17.8298 + 4.77748i −1.47058 + 0.394040i
\(148\) 18.8298 + 7.20789i 1.54780 + 0.592485i
\(149\) −12.9747 7.49092i −1.06293 0.613680i −0.136685 0.990615i \(-0.543645\pi\)
−0.926240 + 0.376934i \(0.876978\pi\)
\(150\) 19.7868 + 9.41724i 1.61558 + 0.768914i
\(151\) 12.9058i 1.05026i −0.851021 0.525132i \(-0.824016\pi\)
0.851021 0.525132i \(-0.175984\pi\)
\(152\) −15.0009 12.1127i −1.21673 0.982470i
\(153\) 1.95348 7.29049i 0.157930 0.589402i
\(154\) 0.298164 + 0.330833i 0.0240267 + 0.0266593i
\(155\) 8.14183 + 9.28043i 0.653968 + 0.745422i
\(156\) 13.9146 17.4870i 1.11406 1.40008i
\(157\) −1.88897 + 1.88897i −0.150756 + 0.150756i −0.778456 0.627700i \(-0.783997\pi\)
0.627700 + 0.778456i \(0.283997\pi\)
\(158\) 0.949227 18.2758i 0.0755164 1.45395i
\(159\) −0.221863 0.384278i −0.0175949 0.0304753i
\(160\) −5.62321 11.3305i −0.444554 0.895752i
\(161\) −7.78772 −0.613758
\(162\) −18.6458 + 9.51147i −1.46495 + 0.747292i
\(163\) 1.43270 + 5.34692i 0.112218 + 0.418803i 0.999064 0.0432625i \(-0.0137752\pi\)
−0.886846 + 0.462065i \(0.847109\pi\)
\(164\) −0.286137 0.641061i −0.0223436 0.0500585i
\(165\) 1.18643 1.77635i 0.0923633 0.138288i
\(166\) −1.14510 1.27057i −0.0888771 0.0986153i
\(167\) 2.82915 10.5585i 0.218926 0.817043i −0.765821 0.643053i \(-0.777667\pi\)
0.984747 0.173990i \(-0.0556660\pi\)
\(168\) −1.38845 + 8.84659i −0.107121 + 0.682529i
\(169\) −10.6325 7.47997i −0.817884 0.575382i
\(170\) −2.16053 + 2.89727i −0.165705 + 0.222210i
\(171\) 38.9866 22.5089i 2.98138 1.72130i
\(172\) 1.77538 + 11.1419i 0.135372 + 0.849562i
\(173\) −15.4667 + 4.14429i −1.17591 + 0.315084i −0.793303 0.608827i \(-0.791640\pi\)
−0.382607 + 0.923911i \(0.624974\pi\)
\(174\) 1.91204 + 8.97480i 0.144951 + 0.680378i
\(175\) 0.668662 + 5.06414i 0.0505461 + 0.382813i
\(176\) −1.17197 + 0.383221i −0.0883405 + 0.0288863i
\(177\) −1.82560 + 1.82560i −0.137221 + 0.137221i
\(178\) −8.08795 15.8552i −0.606217 1.18839i
\(179\) −11.3983 19.7424i −0.851947 1.47562i −0.879448 0.475994i \(-0.842088\pi\)
0.0275010 0.999622i \(-0.491245\pi\)
\(180\) 29.4071 2.73549i 2.19187 0.203891i
\(181\) −15.6134 −1.16054 −0.580268 0.814426i \(-0.697052\pi\)
−0.580268 + 0.814426i \(0.697052\pi\)
\(182\) 5.18495 + 0.502581i 0.384334 + 0.0372538i
\(183\) 13.4251 13.4251i 0.992411 0.992411i
\(184\) 8.74196 19.7091i 0.644466 1.45298i
\(185\) 20.2155 9.97393i 1.48627 0.733298i
\(186\) 23.0167 + 7.46669i 1.68767 + 0.547484i
\(187\) 0.249118 + 0.249118i 0.0182173 + 0.0182173i
\(188\) −5.42901 6.69147i −0.395951 0.488026i
\(189\) −9.88169 5.70520i −0.718787 0.414992i
\(190\) −21.3313 + 3.10721i −1.54754 + 0.225421i
\(191\) 3.76244 + 2.17224i 0.272240 + 0.157178i 0.629905 0.776672i \(-0.283094\pi\)
−0.357665 + 0.933850i \(0.616427\pi\)
\(192\) −20.8303 13.4445i −1.50330 0.970270i
\(193\) −2.20419 + 8.22613i −0.158661 + 0.592130i 0.840103 + 0.542426i \(0.182494\pi\)
−0.998764 + 0.0497034i \(0.984172\pi\)
\(194\) −6.13832 + 1.30774i −0.440706 + 0.0938903i
\(195\) −3.77827 24.6979i −0.270568 1.76865i
\(196\) 10.8782 4.85546i 0.777011 0.346819i
\(197\) 22.2256 + 5.95532i 1.58351 + 0.424299i 0.940009 0.341149i \(-0.110816\pi\)
0.643497 + 0.765448i \(0.277483\pi\)
\(198\) 0.149330 2.87510i 0.0106124 0.204324i
\(199\) 1.11479 1.93088i 0.0790256 0.136876i −0.823804 0.566874i \(-0.808152\pi\)
0.902830 + 0.429998i \(0.141486\pi\)
\(200\) −13.5669 3.99241i −0.959324 0.282306i
\(201\) −0.870851 + 1.50836i −0.0614251 + 0.106391i
\(202\) 16.5924 8.46404i 1.16744 0.595528i
\(203\) −1.51250 + 1.51250i −0.106157 + 0.106157i
\(204\) −0.733864 + 7.04561i −0.0513807 + 0.493292i
\(205\) −0.743278 0.252152i −0.0519128 0.0176110i
\(206\) 2.22974 + 2.47405i 0.155353 + 0.172375i
\(207\) 35.5970 + 35.5970i 2.47416 + 2.47416i
\(208\) −7.09221 + 12.5579i −0.491756 + 0.870733i
\(209\) 2.10132i 0.145351i
\(210\) 6.20345 + 7.85841i 0.428079 + 0.542282i
\(211\) −20.6180 + 11.9038i −1.41940 + 0.819492i −0.996246 0.0865644i \(-0.972411\pi\)
−0.423156 + 0.906057i \(0.639078\pi\)
\(212\) 0.180423 + 0.222378i 0.0123915 + 0.0152730i
\(213\) 20.3452 + 20.3452i 1.39403 + 1.39403i
\(214\) 3.86021 + 1.25226i 0.263878 + 0.0856029i
\(215\) 10.4896 + 7.00607i 0.715387 + 0.477810i
\(216\) 25.5312 18.6043i 1.73718 1.26586i
\(217\) 1.45987 + 5.44832i 0.0991026 + 0.369856i
\(218\) 14.8345 + 0.770490i 1.00472 + 0.0521842i
\(219\) 11.5092 + 19.9346i 0.777722 + 1.34705i
\(220\) −0.575744 + 1.25259i −0.0388167 + 0.0844496i
\(221\) 4.11664 + 0.184287i 0.276915 + 0.0123965i
\(222\) 24.0462 37.0658i 1.61387 2.48769i
\(223\) −6.84960 1.83535i −0.458683 0.122904i 0.0220763 0.999756i \(-0.492972\pi\)
−0.480760 + 0.876852i \(0.659639\pi\)
\(224\) −0.0135090 5.77913i −0.000902610 0.386135i
\(225\) 20.0914 26.2042i 1.33943 1.74695i
\(226\) 2.32591 + 10.9174i 0.154717 + 0.726217i
\(227\) −22.8612 + 6.12565i −1.51735 + 0.406573i −0.918869 0.394562i \(-0.870896\pi\)
−0.598483 + 0.801135i \(0.704230\pi\)
\(228\) −32.8101 + 26.6199i −2.17290 + 1.76295i
\(229\) 12.5168i 0.827131i 0.910474 + 0.413566i \(0.135717\pi\)
−0.910474 + 0.413566i \(0.864283\pi\)
\(230\) −9.53017 22.1419i −0.628401 1.46000i
\(231\) 0.845202 0.487978i 0.0556102 0.0321066i
\(232\) −2.13000 5.52567i −0.139842 0.362778i
\(233\) −6.39807 6.39807i −0.419151 0.419151i 0.465760 0.884911i \(-0.345781\pi\)
−0.884911 + 0.465760i \(0.845781\pi\)
\(234\) −21.4027 25.9973i −1.39914 1.69949i
\(235\) −9.61341 0.628264i −0.627110 0.0409834i
\(236\) 0.978103 1.34889i 0.0636691 0.0878055i
\(237\) −38.7362 10.3793i −2.51618 0.674209i
\(238\) −1.47091 + 0.750334i −0.0953451 + 0.0486369i
\(239\) 10.3506 0.669523 0.334761 0.942303i \(-0.391344\pi\)
0.334761 + 0.942303i \(0.391344\pi\)
\(240\) −26.8516 + 6.87835i −1.73326 + 0.443995i
\(241\) 13.0855 22.6647i 0.842908 1.45996i −0.0445170 0.999009i \(-0.514175\pi\)
0.887425 0.460951i \(-0.152492\pi\)
\(242\) −12.9379 8.39336i −0.831678 0.539545i
\(243\) 3.19942 + 11.9404i 0.205243 + 0.765977i
\(244\) −7.19276 + 9.91947i −0.460469 + 0.635029i
\(245\) 4.27876 12.6127i 0.273360 0.805794i
\(246\) −1.50461 + 0.320549i −0.0959302 + 0.0204375i
\(247\) 16.5848 + 18.1392i 1.05526 + 1.15417i
\(248\) −15.4273 2.42127i −0.979637 0.153751i
\(249\) −3.24601 + 1.87408i −0.205707 + 0.118765i
\(250\) −13.5800 + 8.09834i −0.858876 + 0.512184i
\(251\) 16.1498 + 9.32411i 1.01937 + 0.588533i 0.913921 0.405892i \(-0.133039\pi\)
0.105447 + 0.994425i \(0.466373\pi\)
\(252\) 12.6018 + 4.82388i 0.793841 + 0.303876i
\(253\) −2.26976 + 0.608180i −0.142699 + 0.0382360i
\(254\) −0.459415 0.149035i −0.0288262 0.00935132i
\(255\) 5.22305 + 5.95347i 0.327080 + 0.372821i
\(256\) 14.6410 + 6.45307i 0.915060 + 0.403317i
\(257\) 14.1723 + 3.79747i 0.884047 + 0.236880i 0.672152 0.740413i \(-0.265370\pi\)
0.211895 + 0.977293i \(0.432037\pi\)
\(258\) 24.6905 + 1.28240i 1.53716 + 0.0798388i
\(259\) 10.2991 0.639952
\(260\) 4.91612 + 15.3568i 0.304885 + 0.952389i
\(261\) 13.8271 0.855874
\(262\) −21.7195 1.12809i −1.34183 0.0696935i
\(263\) 5.95354 + 1.59525i 0.367111 + 0.0983670i 0.437658 0.899141i \(-0.355808\pi\)
−0.0705475 + 0.997508i \(0.522475\pi\)
\(264\) 0.286205 + 2.68680i 0.0176147 + 0.165361i
\(265\) 0.319484 + 0.0208792i 0.0196257 + 0.00128260i
\(266\) −9.36814 3.03905i −0.574398 0.186336i
\(267\) −37.6746 + 10.0949i −2.30565 + 0.617796i
\(268\) 0.401835 1.04975i 0.0245460 0.0641236i
\(269\) −14.8983 8.60154i −0.908366 0.524445i −0.0284608 0.999595i \(-0.509061\pi\)
−0.879905 + 0.475150i \(0.842394\pi\)
\(270\) 4.12828 35.0772i 0.251239 2.13473i
\(271\) 12.9027 7.44936i 0.783782 0.452517i −0.0539871 0.998542i \(-0.517193\pi\)
0.837769 + 0.546025i \(0.183860\pi\)
\(272\) −0.247795 4.56485i −0.0150248 0.276785i
\(273\) 3.44465 10.8832i 0.208480 0.658679i
\(274\) −11.6154 + 2.47460i −0.701710 + 0.149496i
\(275\) 0.590367 + 1.42374i 0.0356005 + 0.0858550i
\(276\) −38.2499 27.7355i −2.30237 1.66948i
\(277\) 0.670301 + 2.50160i 0.0402745 + 0.150306i 0.983135 0.182881i \(-0.0585424\pi\)
−0.942861 + 0.333188i \(0.891876\pi\)
\(278\) 2.21677 + 1.43811i 0.132953 + 0.0862523i
\(279\) 18.2309 31.5768i 1.09145 1.89045i
\(280\) −4.75164 4.37836i −0.283965 0.261657i
\(281\) 11.1979 0.668008 0.334004 0.942572i \(-0.391600\pi\)
0.334004 + 0.942572i \(0.391600\pi\)
\(282\) −16.8204 + 8.58034i −1.00164 + 0.510952i
\(283\) 23.0168 + 6.16732i 1.36820 + 0.366609i 0.866822 0.498617i \(-0.166159\pi\)
0.501382 + 0.865226i \(0.332825\pi\)
\(284\) −15.0326 10.9003i −0.892020 0.646817i
\(285\) −3.08055 + 47.1371i −0.182476 + 2.79216i
\(286\) 1.55042 0.258439i 0.0916784 0.0152818i
\(287\) −0.253568 0.253568i −0.0149676 0.0149676i
\(288\) −26.3542 + 26.4777i −1.55294 + 1.56021i
\(289\) 13.5912 7.84690i 0.799484 0.461582i
\(290\) −6.15125 2.44941i −0.361214 0.143834i
\(291\) 13.7531i 0.806219i
\(292\) −9.35951 11.5360i −0.547724 0.675091i
\(293\) 9.37058 2.51084i 0.547435 0.146685i 0.0255075 0.999675i \(-0.491880\pi\)
0.521927 + 0.852990i \(0.325213\pi\)
\(294\) −5.43939 25.5316i −0.317232 1.48904i
\(295\) −0.363773 1.82700i −0.0211797 0.106372i
\(296\) −11.5610 + 26.0648i −0.671970 + 1.51499i
\(297\) −3.32560 0.891093i −0.192971 0.0517064i
\(298\) 11.5312 17.7747i 0.667987 1.02966i
\(299\) −14.7932 + 23.1642i −0.855510 + 1.33962i
\(300\) −14.7515 + 27.2542i −0.851678 + 1.57352i
\(301\) 2.88159 + 4.99107i 0.166092 + 0.287680i
\(302\) 18.2271 + 0.946695i 1.04885 + 0.0544762i
\(303\) −10.5643 39.4265i −0.606902 2.26499i
\(304\) 18.2073 20.2974i 1.04426 1.16414i
\(305\) 2.67511 + 13.4353i 0.153176 + 0.769305i
\(306\) 10.1531 + 3.29371i 0.580416 + 0.188289i
\(307\) 0.190814 + 0.190814i 0.0108903 + 0.0108903i 0.712531 0.701641i \(-0.247549\pi\)
−0.701641 + 0.712531i \(0.747549\pi\)
\(308\) −0.489111 + 0.396832i −0.0278697 + 0.0226116i
\(309\) 6.32061 3.64921i 0.359567 0.207596i
\(310\) −13.7041 + 10.8180i −0.778339 + 0.614423i
\(311\) 7.23938i 0.410508i 0.978709 + 0.205254i \(0.0658020\pi\)
−0.978709 + 0.205254i \(0.934198\pi\)
\(312\) 23.6763 + 20.9344i 1.34041 + 1.18518i
\(313\) 10.2779 + 10.2779i 0.580943 + 0.580943i 0.935162 0.354219i \(-0.115253\pi\)
−0.354219 + 0.935162i \(0.615253\pi\)
\(314\) −2.52925 2.80637i −0.142734 0.158373i
\(315\) 13.5292 6.67505i 0.762283 0.376096i
\(316\) 25.7415 + 2.68121i 1.44807 + 0.150830i
\(317\) −9.13313 + 9.13313i −0.512967 + 0.512967i −0.915434 0.402467i \(-0.868153\pi\)
0.402467 + 0.915434i \(0.368153\pi\)
\(318\) 0.558995 0.285151i 0.0313469 0.0159905i
\(319\) −0.322706 + 0.558944i −0.0180681 + 0.0312948i
\(320\) 16.4146 7.11058i 0.917605 0.397494i
\(321\) 4.44652 7.70159i 0.248180 0.429861i
\(322\) 0.571260 10.9987i 0.0318351 0.612932i
\(323\) −7.52535 2.01641i −0.418722 0.112196i
\(324\) −12.0654 27.0313i −0.670300 1.50174i
\(325\) 16.3332 + 7.63068i 0.906002 + 0.423274i
\(326\) −7.65660 + 1.63120i −0.424060 + 0.0903439i
\(327\) 8.42492 31.4422i 0.465899 1.73876i
\(328\) 0.926366 0.357090i 0.0511500 0.0197170i
\(329\) −3.81186 2.20078i −0.210155 0.121333i
\(330\) 2.42172 + 1.80591i 0.133311 + 0.0994119i
\(331\) −7.68468 4.43675i −0.422388 0.243866i 0.273710 0.961812i \(-0.411749\pi\)
−0.696099 + 0.717946i \(0.745082\pi\)
\(332\) 1.87843 1.52404i 0.103092 0.0836424i
\(333\) −47.0761 47.0761i −2.57976 2.57976i
\(334\) 14.7044 + 4.77014i 0.804588 + 0.261011i
\(335\) −0.556040 1.12700i −0.0303797 0.0615744i
\(336\) −12.3923 2.60985i −0.676054 0.142379i
\(337\) 18.9992 18.9992i 1.03495 1.03495i 0.0355835 0.999367i \(-0.488671\pi\)
0.999367 0.0355835i \(-0.0113290\pi\)
\(338\) 11.3440 14.4677i 0.617031 0.786939i
\(339\) 24.4608 1.32853
\(340\) −3.93336 3.26386i −0.213316 0.177008i
\(341\) 0.850971 + 1.47393i 0.0460827 + 0.0798175i
\(342\) 28.9298 + 56.7123i 1.56434 + 3.06665i
\(343\) 9.35954 9.35954i 0.505368 0.505368i
\(344\) −15.8660 + 1.69009i −0.855440 + 0.0911236i
\(345\) −51.8072 + 10.3153i −2.78921 + 0.555358i
\(346\) −4.71847 22.1478i −0.253667 1.19067i
\(347\) 10.0157 2.68371i 0.537673 0.144069i 0.0202438 0.999795i \(-0.493556\pi\)
0.517429 + 0.855726i \(0.326889\pi\)
\(348\) −12.8155 + 2.04205i −0.686981 + 0.109466i
\(349\) 9.03687 5.21744i 0.483733 0.279283i −0.238238 0.971207i \(-0.576570\pi\)
0.721971 + 0.691924i \(0.243237\pi\)
\(350\) −7.20118 + 0.572884i −0.384919 + 0.0306219i
\(351\) −35.7406 + 18.5553i −1.90769 + 0.990407i
\(352\) −0.455257 1.68330i −0.0242653 0.0897199i
\(353\) −4.78924 + 17.8737i −0.254906 + 0.951321i 0.713237 + 0.700923i \(0.247228\pi\)
−0.968143 + 0.250398i \(0.919438\pi\)
\(354\) −2.44440 2.71223i −0.129919 0.144154i
\(355\) −20.3607 + 4.05402i −1.08064 + 0.215165i
\(356\) 22.9857 10.2597i 1.21824 0.543760i
\(357\) 0.936520 + 3.49514i 0.0495659 + 0.184982i
\(358\) 28.7185 14.6497i 1.51782 0.774262i
\(359\) −15.8116 −0.834504 −0.417252 0.908791i \(-0.637007\pi\)
−0.417252 + 0.908791i \(0.637007\pi\)
\(360\) 1.70623 + 41.7325i 0.0899264 + 2.19950i
\(361\) −13.7341 23.7881i −0.722845 1.25200i
\(362\) 1.14531 22.0510i 0.0601959 1.15897i
\(363\) −23.8966 + 23.8966i −1.25425 + 1.25425i
\(364\) −1.09014 + 7.28589i −0.0571387 + 0.381885i
\(365\) −16.5733 1.08311i −0.867488 0.0566928i
\(366\) 17.9756 + 19.9452i 0.939600 + 1.04255i
\(367\) 4.94164 18.4424i 0.257951 0.962687i −0.708473 0.705737i \(-0.750616\pi\)
0.966425 0.256950i \(-0.0827175\pi\)
\(368\) 27.1941 + 13.7921i 1.41759 + 0.718963i
\(369\) 2.31808i 0.120674i
\(370\) 12.6034 + 29.2821i 0.655219 + 1.52230i
\(371\) 0.126680 + 0.0731388i 0.00657690 + 0.00379718i
\(372\) −12.2336 + 31.9590i −0.634285 + 1.65700i
\(373\) −11.7147 + 3.13895i −0.606565 + 0.162529i −0.549013 0.835814i \(-0.684996\pi\)
−0.0575523 + 0.998342i \(0.518330\pi\)
\(374\) −0.370106 + 0.333558i −0.0191377 + 0.0172479i
\(375\) 11.1560 + 32.8031i 0.576093 + 1.69395i
\(376\) 9.84867 7.17660i 0.507906 0.370105i
\(377\) 1.62579 + 7.37194i 0.0837324 + 0.379674i
\(378\) 8.78237 13.5375i 0.451716 0.696294i
\(379\) −12.6970 21.9919i −0.652203 1.12965i −0.982587 0.185802i \(-0.940512\pi\)
0.330384 0.943846i \(-0.392822\pi\)
\(380\) −2.82361 30.3544i −0.144848 1.55715i
\(381\) −0.529193 + 0.916589i −0.0271114 + 0.0469583i
\(382\) −3.34387 + 5.15438i −0.171087 + 0.263721i
\(383\) −2.36219 8.81583i −0.120702 0.450468i 0.878948 0.476918i \(-0.158246\pi\)
−0.999650 + 0.0264505i \(0.991580\pi\)
\(384\) 20.5157 28.4327i 1.04694 1.45095i
\(385\) −0.0459227 + 0.702689i −0.00234044 + 0.0358123i
\(386\) −11.4562 3.71641i −0.583103 0.189160i
\(387\) 9.64223 35.9853i 0.490142 1.82924i
\(388\) −1.39666 8.76514i −0.0709049 0.444983i
\(389\) 30.2365i 1.53305i 0.642214 + 0.766525i \(0.278016\pi\)
−0.642214 + 0.766525i \(0.721984\pi\)
\(390\) 35.1582 3.52441i 1.78030 0.178465i
\(391\) 8.71218i 0.440594i
\(392\) 6.05946 + 15.7195i 0.306049 + 0.793954i
\(393\) −12.3351 + 46.0351i −0.622222 + 2.32217i
\(394\) −10.0411 + 30.9525i −0.505863 + 1.55937i
\(395\) 21.7513 19.0827i 1.09443 0.960153i
\(396\) 4.04957 + 0.421799i 0.203499 + 0.0211962i
\(397\) 6.32300 + 23.5978i 0.317342 + 1.18434i 0.921789 + 0.387692i \(0.126728\pi\)
−0.604446 + 0.796646i \(0.706606\pi\)
\(398\) 2.64522 + 1.71607i 0.132593 + 0.0860189i
\(399\) −10.7910 + 18.6906i −0.540227 + 0.935700i
\(400\) 6.63371 18.8678i 0.331685 0.943390i
\(401\) 8.07457 + 13.9856i 0.403225 + 0.698406i 0.994113 0.108348i \(-0.0345560\pi\)
−0.590888 + 0.806753i \(0.701223\pi\)
\(402\) −2.06639 1.34056i −0.103062 0.0668609i
\(403\) 18.9788 + 6.00703i 0.945404 + 0.299232i
\(404\) 10.7367 + 24.0545i 0.534172 + 1.19676i
\(405\) −31.3414 10.6323i −1.55737 0.528325i
\(406\) −2.02518 2.24707i −0.100508 0.111520i
\(407\) 3.00170 0.804302i 0.148789 0.0398678i
\(408\) −9.89676 1.55327i −0.489962 0.0768982i
\(409\) 31.5416 + 18.2106i 1.55963 + 0.900454i 0.997292 + 0.0735480i \(0.0234322\pi\)
0.562340 + 0.826906i \(0.309901\pi\)
\(410\) 0.410639 1.03124i 0.0202800 0.0509294i
\(411\) 26.0245i 1.28370i
\(412\) −3.65768 + 2.96760i −0.180201 + 0.146203i
\(413\) 0.220283 0.822106i 0.0108394 0.0404532i
\(414\) −52.8852 + 47.6629i −2.59917 + 2.34250i
\(415\) 0.176367 2.69868i 0.00865750 0.132473i
\(416\) −17.2154 10.9376i −0.844054 0.536258i
\(417\) 4.09443 4.09443i 0.200505 0.200505i
\(418\) −2.96772 0.154140i −0.145156 0.00753924i
\(419\) 1.72019 + 2.97945i 0.0840366 + 0.145556i 0.904980 0.425453i \(-0.139885\pi\)
−0.820944 + 0.571009i \(0.806552\pi\)
\(420\) −11.5536 + 8.18475i −0.563756 + 0.399375i
\(421\) 17.8540 0.870150 0.435075 0.900394i \(-0.356722\pi\)
0.435075 + 0.900394i \(0.356722\pi\)
\(422\) −15.2995 29.9922i −0.744766 1.46000i
\(423\) 7.36414 + 27.4833i 0.358057 + 1.33629i
\(424\) −0.327302 + 0.238501i −0.0158952 + 0.0115826i
\(425\) −5.66530 + 0.748038i −0.274807 + 0.0362852i
\(426\) −30.2262 + 27.2414i −1.46446 + 1.31985i
\(427\) −1.61991 + 6.04559i −0.0783930 + 0.292567i
\(428\) −2.05174 + 5.35995i −0.0991748 + 0.259083i
\(429\) 0.154039 3.44095i 0.00743705 0.166130i
\(430\) −10.6642 + 14.3007i −0.514273 + 0.689641i
\(431\) −3.94329 + 2.27666i −0.189941 + 0.109663i −0.591955 0.805971i \(-0.701644\pi\)
0.402014 + 0.915634i \(0.368310\pi\)
\(432\) 24.4022 + 37.4227i 1.17405 + 1.80050i
\(433\) −32.1242 + 8.60764i −1.54379 + 0.413657i −0.927488 0.373854i \(-0.878036\pi\)
−0.616301 + 0.787511i \(0.711370\pi\)
\(434\) −7.80180 + 1.66214i −0.374499 + 0.0797851i
\(435\) −8.05841 + 12.0652i −0.386371 + 0.578483i
\(436\) −2.17634 + 20.8944i −0.104228 + 1.00066i
\(437\) 36.7438 36.7438i 1.75769 1.75769i
\(438\) −28.9981 + 14.7923i −1.38558 + 0.706805i
\(439\) 13.6721 + 23.6807i 0.652532 + 1.13022i 0.982506 + 0.186229i \(0.0596266\pi\)
−0.329974 + 0.943990i \(0.607040\pi\)
\(440\) −1.72681 0.905012i −0.0823225 0.0431448i
\(441\) −39.3354 −1.87311
\(442\) −0.562242 + 5.80045i −0.0267431 + 0.275899i
\(443\) −9.11221 + 9.11221i −0.432934 + 0.432934i −0.889625 0.456691i \(-0.849034\pi\)
0.456691 + 0.889625i \(0.349034\pi\)
\(444\) 50.5844 + 36.6795i 2.40063 + 1.74073i
\(445\) 9.04107 26.6507i 0.428588 1.26337i
\(446\) 3.09452 9.53913i 0.146530 0.451691i
\(447\) −32.8304 32.8304i −1.55283 1.55283i
\(448\) 8.16292 + 0.404843i 0.385662 + 0.0191270i
\(449\) 0.322966 + 0.186465i 0.0152417 + 0.00879981i 0.507601 0.861592i \(-0.330532\pi\)
−0.492360 + 0.870392i \(0.663866\pi\)
\(450\) 35.5346 + 30.2974i 1.67512 + 1.42823i
\(451\) −0.0937057 0.0541010i −0.00441243 0.00254752i
\(452\) −15.5894 + 2.48407i −0.733265 + 0.116841i
\(453\) 10.3516 38.6328i 0.486362 1.81513i
\(454\) −6.97435 32.7365i −0.327322 1.53640i
\(455\) 5.14958 + 6.42827i 0.241416 + 0.301362i
\(456\) −35.1888 48.2907i −1.64787 2.26142i
\(457\) −7.69302 2.06134i −0.359864 0.0964253i 0.0743568 0.997232i \(-0.476310\pi\)
−0.434221 + 0.900806i \(0.642976\pi\)
\(458\) −17.6776 0.918154i −0.826018 0.0429025i
\(459\) 6.38245 11.0547i 0.297907 0.515991i
\(460\) 31.9703 11.8354i 1.49062 0.551826i
\(461\) −4.83326 + 8.37145i −0.225107 + 0.389897i −0.956352 0.292218i \(-0.905607\pi\)
0.731244 + 0.682116i \(0.238940\pi\)
\(462\) 0.627177 + 1.22948i 0.0291789 + 0.0572007i
\(463\) −8.87156 + 8.87156i −0.412297 + 0.412297i −0.882538 0.470241i \(-0.844167\pi\)
0.470241 + 0.882538i \(0.344167\pi\)
\(464\) 7.96020 2.60289i 0.369543 0.120836i
\(465\) 16.9283 + 34.3108i 0.785033 + 1.59113i
\(466\) 9.50538 8.56673i 0.440328 0.396846i
\(467\) −4.80242 4.80242i −0.222229 0.222229i 0.587207 0.809437i \(-0.300227\pi\)
−0.809437 + 0.587207i \(0.800227\pi\)
\(468\) 38.2862 28.3203i 1.76978 1.30911i
\(469\) 0.574165i 0.0265125i
\(470\) 1.59249 13.5310i 0.0734559 0.624140i
\(471\) −7.16963 + 4.13939i −0.330359 + 0.190733i
\(472\) 1.83331 + 1.48033i 0.0843848 + 0.0681377i
\(473\) 1.22963 + 1.22963i 0.0565383 + 0.0565383i
\(474\) 17.5003 53.9461i 0.803814 2.47783i
\(475\) −27.0483 20.7386i −1.24106 0.951553i
\(476\) −0.951807 2.13242i −0.0436260 0.0977395i
\(477\) −0.244733 0.913356i −0.0112056 0.0418197i
\(478\) −0.759256 + 14.6182i −0.0347275 + 0.668622i
\(479\) −9.51304 16.4771i −0.434662 0.752857i 0.562606 0.826725i \(-0.309799\pi\)
−0.997268 + 0.0738685i \(0.976465\pi\)
\(480\) −7.74469 38.4273i −0.353495 1.75396i
\(481\) 19.5636 30.6340i 0.892021 1.39679i
\(482\) 31.0497 + 20.1433i 1.41427 + 0.917500i
\(483\) −23.3120 6.24644i −1.06073 0.284223i
\(484\) 12.8031 17.6566i 0.581958 0.802573i
\(485\) −8.25201 5.51156i −0.374705 0.250267i
\(486\) −17.0982 + 3.64270i −0.775592 + 0.165236i
\(487\) 32.5189 8.71342i 1.47357 0.394843i 0.569418 0.822048i \(-0.307169\pi\)
0.904155 + 0.427205i \(0.140502\pi\)
\(488\) −13.4817 10.8860i −0.610290 0.492787i
\(489\) 17.1548i 0.775768i
\(490\) 17.4991 + 6.96812i 0.790530 + 0.314788i
\(491\) 7.01818 4.05195i 0.316726 0.182862i −0.333206 0.942854i \(-0.608131\pi\)
0.649932 + 0.759992i \(0.274797\pi\)
\(492\) −0.342346 2.14848i −0.0154341 0.0968611i
\(493\) −1.69205 1.69205i −0.0762061 0.0762061i
\(494\) −26.8348 + 22.0922i −1.20735 + 0.993976i
\(495\) 3.42184 3.00203i 0.153800 0.134931i
\(496\) 4.55125 21.6106i 0.204357 0.970343i
\(497\) −9.16186 2.45491i −0.410966 0.110118i
\(498\) −2.40868 4.72184i −0.107935 0.211591i
\(499\) −12.5696 −0.562691 −0.281346 0.959606i \(-0.590781\pi\)
−0.281346 + 0.959606i \(0.590781\pi\)
\(500\) −10.4412 19.7732i −0.466945 0.884286i
\(501\) 16.9378 29.3370i 0.756723 1.31068i
\(502\) −14.3532 + 22.1246i −0.640614 + 0.987469i
\(503\) 1.88226 + 7.02468i 0.0839257 + 0.313215i 0.995109 0.0987871i \(-0.0314963\pi\)
−0.911183 + 0.412002i \(0.864830\pi\)
\(504\) −7.73720 + 17.4438i −0.344642 + 0.777011i
\(505\) 27.8900 + 9.46148i 1.24109 + 0.421030i
\(506\) −0.692443 3.25022i −0.0307829 0.144490i
\(507\) −25.8281 30.9190i −1.14707 1.37316i
\(508\) 0.244184 0.637903i 0.0108339 0.0283024i
\(509\) −4.79708 + 2.76959i −0.212627 + 0.122760i −0.602532 0.798095i \(-0.705841\pi\)
0.389905 + 0.920855i \(0.372508\pi\)
\(510\) −8.79127 + 6.93985i −0.389284 + 0.307302i
\(511\) −6.57158 3.79410i −0.290710 0.167841i
\(512\) −10.1877 + 20.2042i −0.450238 + 0.892909i
\(513\) 73.5416 19.7054i 3.24694 0.870015i
\(514\) −6.40280 + 19.7372i −0.282415 + 0.870570i
\(515\) −0.343421 + 5.25487i −0.0151329 + 0.231557i
\(516\) −3.62229 + 34.7766i −0.159463 + 1.53095i
\(517\) −1.28285 0.343739i −0.0564198 0.0151176i
\(518\) −0.755476 + 14.5455i −0.0331937 + 0.639090i
\(519\) −49.6226 −2.17819
\(520\) −22.0492 + 5.81660i −0.966921 + 0.255075i
\(521\) −22.8884 −1.00276 −0.501380 0.865227i \(-0.667174\pi\)
−0.501380 + 0.865227i \(0.667174\pi\)
\(522\) −1.01427 + 19.5281i −0.0443934 + 0.854722i
\(523\) −21.7587 5.83024i −0.951443 0.254938i −0.250469 0.968125i \(-0.580585\pi\)
−0.700975 + 0.713186i \(0.747251\pi\)
\(524\) 3.18642 30.5919i 0.139199 1.33641i
\(525\) −2.06029 + 15.6955i −0.0899185 + 0.685008i
\(526\) −2.68970 + 8.29122i −0.117276 + 0.361514i
\(527\) −6.09508 + 1.63317i −0.265506 + 0.0711421i
\(528\) −3.81559 + 0.207122i −0.166052 + 0.00901384i
\(529\) 30.4052 + 17.5544i 1.32197 + 0.763237i
\(530\) −0.0529232 + 0.449678i −0.00229884 + 0.0195328i
\(531\) −4.76467 + 2.75089i −0.206769 + 0.119378i
\(532\) 4.97928 13.0078i 0.215879 0.563959i
\(533\) −1.23589 + 0.272560i −0.0535323 + 0.0118059i
\(534\) −11.4935 53.9487i −0.497373 2.33459i
\(535\) 2.83911 + 5.75438i 0.122745 + 0.248784i
\(536\) 1.45309 + 0.644519i 0.0627641 + 0.0278390i
\(537\) −18.2849 68.2400i −0.789050 2.94478i
\(538\) 13.2409 20.4101i 0.570855 0.879941i
\(539\) 0.918039 1.59009i 0.0395427 0.0684900i
\(540\) 49.2370 + 8.40346i 2.11882 + 0.361627i
\(541\) −7.24832 −0.311630 −0.155815 0.987786i \(-0.549800\pi\)
−0.155815 + 0.987786i \(0.549800\pi\)
\(542\) 9.57435 + 18.7690i 0.411253 + 0.806198i
\(543\) −46.7377 12.5233i −2.00571 0.537428i
\(544\) 6.46516 0.0151127i 0.277192 0.000647950i
\(545\) 15.4894 + 17.6556i 0.663494 + 0.756281i
\(546\) 15.1177 + 5.66324i 0.646978 + 0.242364i
\(547\) −5.80746 5.80746i −0.248309 0.248309i 0.571967 0.820276i \(-0.306180\pi\)
−0.820276 + 0.571967i \(0.806180\pi\)
\(548\) −2.64287 16.5860i −0.112898 0.708520i
\(549\) 35.0384 20.2294i 1.49540 0.863371i
\(550\) −2.05407 + 0.729344i −0.0875860 + 0.0310993i
\(551\) 14.2725i 0.608029i
\(552\) 41.9770 51.9862i 1.78666 2.21268i
\(553\) 12.7697 3.42162i 0.543021 0.145502i
\(554\) −3.58220 + 0.763171i −0.152193 + 0.0324240i
\(555\) 68.5137 13.6417i 2.90824 0.579059i
\(556\) −2.19367 + 3.02527i −0.0930323 + 0.128300i
\(557\) 2.82745 + 0.757612i 0.119803 + 0.0321010i 0.318222 0.948016i \(-0.396914\pi\)
−0.198420 + 0.980117i \(0.563581\pi\)
\(558\) 43.2589 + 28.0639i 1.83130 + 1.18804i
\(559\) 20.3194 + 0.909625i 0.859419 + 0.0384730i
\(560\) 6.53216 6.38962i 0.276034 0.270011i
\(561\) 0.545905 + 0.945534i 0.0230481 + 0.0399205i
\(562\) −0.821407 + 15.8148i −0.0346490 + 0.667109i
\(563\) 3.69877 + 13.8040i 0.155884 + 0.581768i 0.999028 + 0.0440800i \(0.0140356\pi\)
−0.843144 + 0.537688i \(0.819298\pi\)
\(564\) −10.8842 24.3850i −0.458310 1.02680i
\(565\) −9.80269 + 14.6768i −0.412402 + 0.617457i
\(566\) −10.3985 + 32.0544i −0.437083 + 1.34735i
\(567\) −10.6921 10.6921i −0.449024 0.449024i
\(568\) 16.4974 20.4311i 0.692214 0.857269i
\(569\) −15.5542 + 8.98024i −0.652067 + 0.376471i −0.789248 0.614075i \(-0.789529\pi\)
0.137180 + 0.990546i \(0.456196\pi\)
\(570\) −66.3463 7.80838i −2.77894 0.327057i
\(571\) 18.0409i 0.754987i −0.926012 0.377493i \(-0.876786\pi\)
0.926012 0.377493i \(-0.123214\pi\)
\(572\) 0.251266 + 2.20864i 0.0105060 + 0.0923477i
\(573\) 9.52028 + 9.52028i 0.397715 + 0.397715i
\(574\) 0.376717 0.339516i 0.0157238 0.0141711i
\(575\) 14.5725 35.2188i 0.607714 1.46873i
\(576\) −35.4615 39.1625i −1.47756 1.63177i
\(577\) −14.7787 + 14.7787i −0.615246 + 0.615246i −0.944308 0.329062i \(-0.893268\pi\)
0.329062 + 0.944308i \(0.393268\pi\)
\(578\) 10.0853 + 19.7706i 0.419492 + 0.822349i
\(579\) −13.1962 + 22.8564i −0.548414 + 0.949881i
\(580\) 3.91055 8.50779i 0.162377 0.353267i
\(581\) 0.617805 1.07007i 0.0256309 0.0443940i
\(582\) −19.4236 1.00884i −0.805134 0.0418179i
\(583\) 0.0426332 + 0.0114235i 0.00176569 + 0.000473114i
\(584\) 16.9789 12.3723i 0.702592 0.511970i
\(585\) 5.84477 52.9214i 0.241651 2.18803i
\(586\) 2.85871 + 13.4183i 0.118092 + 0.554306i
\(587\) −9.27687 + 34.6218i −0.382898 + 1.42899i 0.458557 + 0.888665i \(0.348366\pi\)
−0.841455 + 0.540328i \(0.818300\pi\)
\(588\) 36.4576 5.80926i 1.50349 0.239570i
\(589\) −32.5940 18.8182i −1.34301 0.775389i
\(590\) 2.60697 0.379742i 0.107327 0.0156337i
\(591\) 61.7541 + 35.6538i 2.54023 + 1.46660i
\(592\) −35.9635 18.2397i −1.47809 0.749647i
\(593\) 4.42061 + 4.42061i 0.181533 + 0.181533i 0.792023 0.610491i \(-0.209028\pi\)
−0.610491 + 0.792023i \(0.709028\pi\)
\(594\) 1.50244 4.63142i 0.0616461 0.190029i
\(595\) −2.47244 0.838756i −0.101360 0.0343857i
\(596\) 24.2576 + 17.5895i 0.993629 + 0.720495i
\(597\) 4.88580 4.88580i 0.199962 0.199962i
\(598\) −31.6298 22.5917i −1.29344 0.923843i
\(599\) 33.7830 1.38033 0.690167 0.723650i \(-0.257537\pi\)
0.690167 + 0.723650i \(0.257537\pi\)
\(600\) −37.4094 22.8329i −1.52723 0.932149i
\(601\) −4.38304 7.59165i −0.178788 0.309670i 0.762678 0.646779i \(-0.223884\pi\)
−0.941466 + 0.337109i \(0.890551\pi\)
\(602\) −7.26031 + 3.70359i −0.295908 + 0.150947i
\(603\) −2.62446 + 2.62446i −0.106876 + 0.106876i
\(604\) −2.67405 + 25.6728i −0.108806 + 1.04461i
\(605\) −4.76167 23.9148i −0.193590 0.972276i
\(606\) 56.4573 12.0280i 2.29342 0.488602i
\(607\) −35.0505 + 9.39174i −1.42265 + 0.381199i −0.886425 0.462873i \(-0.846819\pi\)
−0.536230 + 0.844072i \(0.680152\pi\)
\(608\) 27.3307 + 27.2032i 1.10841 + 1.10324i
\(609\) −5.74075 + 3.31442i −0.232627 + 0.134307i
\(610\) −19.1711 + 2.79254i −0.776215 + 0.113067i
\(611\) −13.7869 + 7.15770i −0.557760 + 0.289570i
\(612\) −5.39651 + 14.0978i −0.218141 + 0.569869i
\(613\) 0.220586 0.823239i 0.00890940 0.0332503i −0.961328 0.275406i \(-0.911188\pi\)
0.970237 + 0.242156i \(0.0778544\pi\)
\(614\) −0.283485 + 0.255491i −0.0114405 + 0.0103108i
\(615\) −2.02271 1.35097i −0.0815634 0.0544766i
\(616\) −0.524571 0.719885i −0.0211356 0.0290050i
\(617\) −6.69928 25.0020i −0.269703 1.00654i −0.959309 0.282359i \(-0.908883\pi\)
0.689606 0.724185i \(-0.257784\pi\)
\(618\) 4.69017 + 9.19435i 0.188666 + 0.369851i
\(619\) 42.4962 1.70807 0.854033 0.520218i \(-0.174149\pi\)
0.854033 + 0.520218i \(0.174149\pi\)
\(620\) −14.2732 20.1479i −0.573224 0.809161i
\(621\) 42.5699 + 73.7333i 1.70827 + 2.95882i
\(622\) −10.2243 0.531037i −0.409955 0.0212927i
\(623\) 9.09185 9.09185i 0.364257 0.364257i
\(624\) −31.3026 + 31.9027i −1.25311 + 1.27713i
\(625\) −24.1531 6.45214i −0.966122 0.258086i
\(626\) −15.2695 + 13.7617i −0.610294 + 0.550028i
\(627\) −1.68545 + 6.29017i −0.0673102 + 0.251205i
\(628\) 4.14900 3.36622i 0.165563 0.134327i
\(629\) 11.5216i 0.459398i
\(630\) 8.43481 + 19.5970i 0.336051 + 0.780765i
\(631\) 18.7352 + 10.8168i 0.745836 + 0.430609i 0.824187 0.566317i \(-0.191632\pi\)
−0.0783512 + 0.996926i \(0.524966\pi\)
\(632\) −5.67493 + 36.1583i −0.225737 + 1.43830i
\(633\) −71.2666 + 19.0958i −2.83259 + 0.758991i
\(634\) −12.2289 13.5688i −0.485670 0.538884i
\(635\) −0.337890 0.684846i −0.0134088 0.0271773i
\(636\) 0.361717 + 0.810391i 0.0143430 + 0.0321341i
\(637\) −4.62506 20.9718i −0.183252 0.830932i
\(638\) −0.765730 0.496762i −0.0303155 0.0196670i
\(639\) 30.6569 + 53.0994i 1.21277 + 2.10058i
\(640\) 8.83827 + 23.7041i 0.349363 + 0.936987i
\(641\) −15.5280 + 26.8953i −0.613319 + 1.06230i 0.377358 + 0.926067i \(0.376833\pi\)
−0.990677 + 0.136232i \(0.956501\pi\)
\(642\) 10.5509 + 6.84480i 0.416409 + 0.270143i
\(643\) 9.45368 + 35.2816i 0.372817 + 1.39137i 0.856509 + 0.516132i \(0.172629\pi\)
−0.483692 + 0.875238i \(0.660705\pi\)
\(644\) 15.4916 + 1.61359i 0.610456 + 0.0635844i
\(645\) 25.7806 + 29.3858i 1.01511 + 1.15707i
\(646\) 3.39981 10.4802i 0.133764 0.412339i
\(647\) −2.74099 + 10.2295i −0.107759 + 0.402163i −0.998644 0.0520672i \(-0.983419\pi\)
0.890884 + 0.454230i \(0.150086\pi\)
\(648\) 39.0616 15.0572i 1.53448 0.591504i
\(649\) 0.256809i 0.0100806i
\(650\) −11.9750 + 22.5078i −0.469698 + 0.882827i
\(651\) 17.4801i 0.685101i
\(652\) −1.74212 10.9331i −0.0682267 0.428175i
\(653\) −3.90006 + 14.5552i −0.152621 + 0.569590i 0.846676 + 0.532109i \(0.178600\pi\)
−0.999297 + 0.0374814i \(0.988066\pi\)
\(654\) 43.7882 + 14.2050i 1.71225 + 0.555460i
\(655\) −22.6784 25.8498i −0.886117 1.01004i
\(656\) 0.436369 + 1.33451i 0.0170374 + 0.0521039i
\(657\) 12.6956 + 47.3807i 0.495303 + 1.84850i
\(658\) 3.38780 5.22210i 0.132070 0.203579i
\(659\) 15.1150 26.1800i 0.588797 1.01983i −0.405593 0.914054i \(-0.632935\pi\)
0.994390 0.105773i \(-0.0337318\pi\)
\(660\) −2.72814 + 3.28775i −0.106193 + 0.127976i
\(661\) −2.45603 4.25396i −0.0955283 0.165460i 0.814301 0.580443i \(-0.197121\pi\)
−0.909829 + 0.414983i \(0.863787\pi\)
\(662\) 6.82977 10.5277i 0.265447 0.409171i
\(663\) 12.1751 + 3.85356i 0.472841 + 0.149660i
\(664\) 2.01462 + 2.76473i 0.0781825 + 0.107292i
\(665\) −6.89008 13.9650i −0.267186 0.541540i
\(666\) 69.9393 63.0329i 2.71009 2.44247i
\(667\) 15.4166 4.13086i 0.596932 0.159947i
\(668\) −7.81555 + 20.4172i −0.302393 + 0.789967i
\(669\) −19.0317 10.9880i −0.735809 0.424820i
\(670\) 1.63246 0.702630i 0.0630673 0.0271450i
\(671\) 1.88852i 0.0729054i
\(672\) 4.59494 17.3103i 0.177254 0.667759i
\(673\) 10.6426 39.7188i 0.410242 1.53105i −0.383935 0.923360i \(-0.625431\pi\)
0.794178 0.607685i \(-0.207902\pi\)
\(674\) 25.4390 + 28.2264i 0.979875 + 1.08724i
\(675\) 44.2917 34.0129i 1.70479 1.30916i
\(676\) 19.6007 + 17.0825i 0.753875 + 0.657018i
\(677\) −26.0883 + 26.0883i −1.00265 + 1.00265i −0.00265780 + 0.999996i \(0.500846\pi\)
−0.999996 + 0.00265780i \(0.999154\pi\)
\(678\) −1.79430 + 34.5462i −0.0689096 + 1.32674i
\(679\) −2.26690 3.92639i −0.0869956 0.150681i
\(680\) 4.89811 5.31570i 0.187834 0.203848i
\(681\) −73.3469 −2.81066
\(682\) −2.14406 + 1.09372i −0.0821003 + 0.0418806i
\(683\) −11.5561 43.1280i −0.442182 1.65025i −0.723271 0.690564i \(-0.757362\pi\)
0.281089 0.959682i \(-0.409304\pi\)
\(684\) −82.2175 + 36.6977i −3.14366 + 1.40317i
\(685\) −15.6150 10.4294i −0.596620 0.398485i
\(686\) 12.5320 + 13.9051i 0.478475 + 0.530901i
\(687\) −10.0396 + 37.4681i −0.383033 + 1.42950i
\(688\) −1.22309 22.5318i −0.0466300 0.859015i
\(689\) 0.458183 0.237873i 0.0174554 0.00906223i
\(690\) −10.7682 73.9245i −0.409937 2.81426i
\(691\) 1.52381 0.879771i 0.0579684 0.0334681i −0.470736 0.882274i \(-0.656011\pi\)
0.528704 + 0.848806i \(0.322678\pi\)
\(692\) 31.6256 5.03932i 1.20223 0.191566i
\(693\) 2.00888 0.538279i 0.0763112 0.0204475i
\(694\) 3.05553 + 14.3422i 0.115986 + 0.544422i
\(695\) 0.815862 + 4.09755i 0.0309474 + 0.155429i
\(696\) −1.94395 18.2492i −0.0736852 0.691734i
\(697\) 0.283668 0.283668i 0.0107447 0.0107447i
\(698\) 6.70575 + 13.1456i 0.253816 + 0.497568i
\(699\) −14.0204 24.2840i −0.530300 0.918507i
\(700\) −0.280854 10.2123i −0.0106153 0.385990i
\(701\) 24.7396 0.934403 0.467201 0.884151i \(-0.345262\pi\)
0.467201 + 0.884151i \(0.345262\pi\)
\(702\) −23.5841 51.8379i −0.890124 1.95649i
\(703\) −48.5927 + 48.5927i −1.83271 + 1.83271i
\(704\) 2.41073 0.519488i 0.0908578 0.0195790i
\(705\) −28.2732 9.59148i −1.06483 0.361236i
\(706\) −24.8919 8.07500i −0.936818 0.303907i
\(707\) 9.51462 + 9.51462i 0.357834 + 0.357834i
\(708\) 4.00982 3.25330i 0.150698 0.122267i
\(709\) −19.0456 10.9960i −0.715271 0.412962i 0.0977385 0.995212i \(-0.468839\pi\)
−0.813010 + 0.582250i \(0.802172\pi\)
\(710\) −4.23199 29.0531i −0.158824 1.09034i
\(711\) −74.0090 42.7291i −2.77556 1.60247i
\(712\) 12.8037 + 33.2155i 0.479840 + 1.24480i
\(713\) 10.8930 40.6532i 0.407946 1.52248i
\(714\) −5.00492 + 1.06627i −0.187304 + 0.0399043i
\(715\) 2.00288 + 1.47139i 0.0749034 + 0.0550268i
\(716\) 18.5833 + 41.6340i 0.694492 + 1.55594i
\(717\) 30.9838 + 8.30208i 1.15711 + 0.310047i
\(718\) 1.15984 22.3309i 0.0432850 0.833381i
\(719\) −23.3443 + 40.4335i −0.870596 + 1.50792i −0.00921414 + 0.999958i \(0.502933\pi\)
−0.861382 + 0.507958i \(0.830400\pi\)
\(720\) −59.0644 0.651516i −2.20120 0.0242806i
\(721\) −1.20299 + 2.08364i −0.0448016 + 0.0775986i
\(722\) 34.6036 17.6518i 1.28781 0.656932i
\(723\) 57.3496 57.3496i 2.13285 2.13285i
\(724\) 31.0588 + 3.23505i 1.15429 + 0.120230i
\(725\) −4.00987 9.67029i −0.148923 0.359146i
\(726\) −31.9965 35.5023i −1.18750 1.31761i
\(727\) 21.5619 + 21.5619i 0.799686 + 0.799686i 0.983046 0.183360i \(-0.0586973\pi\)
−0.183360 + 0.983046i \(0.558697\pi\)
\(728\) −10.2100 2.07406i −0.378407 0.0768698i
\(729\) 6.09358i 0.225688i
\(730\) 2.74541 23.3272i 0.101612 0.863380i
\(731\) −5.58355 + 3.22366i −0.206515 + 0.119231i
\(732\) −29.4873 + 23.9241i −1.08988 + 0.884259i
\(733\) −21.2617 21.2617i −0.785319 0.785319i 0.195404 0.980723i \(-0.437398\pi\)
−0.980723 + 0.195404i \(0.937398\pi\)
\(734\) 25.6839 + 8.33195i 0.948012 + 0.307538i
\(735\) 22.9247 34.3233i 0.845589 1.26603i
\(736\) −21.4735 + 37.3948i −0.791524 + 1.37839i
\(737\) −0.0448393 0.167343i −0.00165168 0.00616414i
\(738\) −3.27384 0.170040i −0.120512 0.00625926i
\(739\) −13.1845 22.8362i −0.485000 0.840045i 0.514851 0.857279i \(-0.327847\pi\)
−0.999851 + 0.0172347i \(0.994514\pi\)
\(740\) −42.2799 + 15.6519i −1.55424 + 0.575377i
\(741\) 35.0961 + 67.6010i 1.28929 + 2.48339i
\(742\) −0.112587 + 0.173547i −0.00413320 + 0.00637110i
\(743\) −14.2438 3.81660i −0.522553 0.140018i −0.0121057 0.999927i \(-0.503853\pi\)
−0.510447 + 0.859909i \(0.670520\pi\)
\(744\) −44.2387 19.6220i −1.62187 0.719378i
\(745\) 32.8555 6.54184i 1.20373 0.239675i
\(746\) −3.57385 16.7751i −0.130848 0.614179i
\(747\) −7.71514 + 2.06727i −0.282282 + 0.0756373i
\(748\) −0.443939 0.547172i −0.0162320 0.0200066i
\(749\) 2.93165i 0.107120i
\(750\) −47.1465 + 13.3495i −1.72155 + 0.487454i
\(751\) 15.0651 8.69785i 0.549734 0.317389i −0.199281 0.979942i \(-0.563861\pi\)
0.749015 + 0.662553i \(0.230527\pi\)
\(752\) 9.41315 + 14.4358i 0.343262 + 0.526420i
\(753\) 40.8647 + 40.8647i 1.48919 + 1.48919i
\(754\) −10.5307 + 1.75536i −0.383506 + 0.0639263i
\(755\) 19.0318 + 21.6933i 0.692636 + 0.789498i
\(756\) 18.4749 + 13.3965i 0.671927 + 0.487224i
\(757\) −15.8059 4.23517i −0.574474 0.153930i −0.0401264 0.999195i \(-0.512776\pi\)
−0.534348 + 0.845265i \(0.679443\pi\)
\(758\) 31.9908 16.3190i 1.16196 0.592731i
\(759\) −7.28220 −0.264327
\(760\) 43.0769 1.76120i 1.56256 0.0638854i
\(761\) −1.21602 + 2.10620i −0.0440805 + 0.0763497i −0.887224 0.461339i \(-0.847369\pi\)
0.843143 + 0.537689i \(0.180702\pi\)
\(762\) −1.25569 0.814619i −0.0454888 0.0295105i
\(763\) 2.77734 + 10.3652i 0.100546 + 0.375244i
\(764\) −7.03430 5.10068i −0.254492 0.184536i
\(765\) 7.46743 + 15.1352i 0.269985 + 0.547215i
\(766\) 12.6240 2.68947i 0.456122 0.0971747i
\(767\) −2.02687 2.21685i −0.0731862 0.0800458i
\(768\) 38.6509 + 31.0602i 1.39469 + 1.12079i
\(769\) −8.14739 + 4.70390i −0.293803 + 0.169627i −0.639655 0.768662i \(-0.720923\pi\)
0.345853 + 0.938289i \(0.387590\pi\)
\(770\) −0.989046 0.116402i −0.0356427 0.00419484i
\(771\) 39.3781 + 22.7350i 1.41817 + 0.818780i
\(772\) 6.08908 15.9070i 0.219151 0.572507i
\(773\) 11.6002 3.10826i 0.417230 0.111796i −0.0440958 0.999027i \(-0.514041\pi\)
0.461326 + 0.887231i \(0.347374\pi\)
\(774\) 50.1151 + 16.2575i 1.80135 + 0.584363i
\(775\) −27.3710 3.59289i −0.983194 0.129060i
\(776\) 12.4815 1.32957i 0.448061 0.0477286i
\(777\) 30.8296 + 8.26075i 1.10600 + 0.296353i
\(778\) −42.7033 2.21797i −1.53099 0.0795179i
\(779\) 2.39275 0.0857293
\(780\) 2.39856 + 49.9128i 0.0858823 + 1.78717i
\(781\) −2.86198 −0.102410
\(782\) 12.3043 + 0.639073i 0.440001 + 0.0228532i
\(783\) 22.5880 + 6.05244i 0.807230 + 0.216297i
\(784\) −22.6453 + 7.40475i −0.808760 + 0.264455i
\(785\) 0.389551 5.96073i 0.0139037 0.212748i
\(786\) −64.1110 20.7978i −2.28677 0.741833i
\(787\) 34.4669 9.23539i 1.22861 0.329206i 0.414574 0.910015i \(-0.363931\pi\)
0.814040 + 0.580809i \(0.197264\pi\)
\(788\) −42.9780 16.4516i −1.53103 0.586065i
\(789\) 16.5420 + 9.55053i 0.588911 + 0.340008i
\(790\) 25.3551 + 32.1193i 0.902093 + 1.14275i
\(791\) −6.98336 + 4.03184i −0.248300 + 0.143356i
\(792\) −0.892763 + 5.68831i −0.0317230 + 0.202125i
\(793\) 14.9052 + 16.3022i 0.529299 + 0.578909i
\(794\) −33.7912 + 7.19905i −1.19920 + 0.255485i
\(795\) 0.939607 + 0.318755i 0.0333244 + 0.0113051i
\(796\) −2.61766 + 3.61000i −0.0927806 + 0.127953i
\(797\) 10.2438 + 38.2304i 0.362855 + 1.35419i 0.870306 + 0.492511i \(0.163921\pi\)
−0.507451 + 0.861680i \(0.669412\pi\)
\(798\) −25.6054 16.6113i −0.906420 0.588033i
\(799\) 2.46203 4.26437i 0.0871004 0.150862i
\(800\) 26.1606 + 10.7529i 0.924916 + 0.380172i
\(801\) −83.1162 −2.93677
\(802\) −20.3443 + 10.3779i −0.718381 + 0.366456i
\(803\) −2.21161 0.592600i −0.0780461 0.0209124i
\(804\) 2.04486 2.82005i 0.0721166 0.0994554i
\(805\) 13.0903 11.4842i 0.461371 0.404766i
\(806\) −9.87597 + 26.3634i −0.347866 + 0.928610i
\(807\) −37.6979 37.6979i −1.32703 1.32703i
\(808\) −34.7600 + 13.3991i −1.22285 + 0.471378i
\(809\) −32.7812 + 18.9262i −1.15252 + 0.665411i −0.949501 0.313763i \(-0.898410\pi\)
−0.203024 + 0.979174i \(0.565077\pi\)
\(810\) 17.3152 43.4839i 0.608393 1.52787i
\(811\) 24.1511i 0.848060i 0.905648 + 0.424030i \(0.139385\pi\)
−0.905648 + 0.424030i \(0.860615\pi\)
\(812\) 3.32212 2.69534i 0.116583 0.0945880i
\(813\) 44.5984 11.9501i 1.56413 0.419108i
\(814\) 0.915738 + 4.29833i 0.0320966 + 0.150656i
\(815\) −10.2931 6.87481i −0.360552 0.240814i
\(816\) 2.91966 13.8633i 0.102209 0.485314i
\(817\) −37.1446 9.95285i −1.29952 0.348206i
\(818\) −28.0326 + 43.2107i −0.980138 + 1.51083i
\(819\) 13.0929 20.5018i 0.457503 0.716390i
\(820\) 1.42631 + 0.655595i 0.0498090 + 0.0228944i
\(821\) −19.8657 34.4085i −0.693319 1.20086i −0.970744 0.240116i \(-0.922814\pi\)
0.277425 0.960747i \(-0.410519\pi\)
\(822\) −36.7547 1.90900i −1.28197 0.0665841i
\(823\) 5.89696 + 22.0078i 0.205555 + 0.767142i 0.989280 + 0.146034i \(0.0466508\pi\)
−0.783724 + 0.621109i \(0.786683\pi\)
\(824\) −3.92286 5.38346i −0.136659 0.187542i
\(825\) 0.625258 + 4.73541i 0.0217687 + 0.164866i
\(826\) 1.14491 + 0.371412i 0.0398365 + 0.0129231i
\(827\) −17.6256 17.6256i −0.612902 0.612902i 0.330799 0.943701i \(-0.392682\pi\)
−0.943701 + 0.330799i \(0.892682\pi\)
\(828\) −63.4354 78.1866i −2.20453 2.71717i
\(829\) −0.530163 + 0.306090i −0.0184133 + 0.0106309i −0.509178 0.860661i \(-0.670051\pi\)
0.490765 + 0.871292i \(0.336717\pi\)
\(830\) 3.79844 + 0.447044i 0.131846 + 0.0155171i
\(831\) 8.02601i 0.278419i
\(832\) 16.7100 23.5112i 0.579317 0.815103i
\(833\) 4.81357 + 4.81357i 0.166780 + 0.166780i
\(834\) 5.48226 + 6.08294i 0.189835 + 0.210635i
\(835\) 10.8148 + 21.9197i 0.374261 + 0.758563i
\(836\) 0.435387 4.18003i 0.0150582 0.144569i
\(837\) 43.6040 43.6040i 1.50718 1.50718i
\(838\) −4.33409 + 2.21088i −0.149719 + 0.0763736i
\(839\) −8.79637 + 15.2358i −0.303685 + 0.525997i −0.976968 0.213388i \(-0.931550\pi\)
0.673283 + 0.739385i \(0.264884\pi\)
\(840\) −10.7119 16.9176i −0.369596 0.583712i
\(841\) −12.3081 + 21.3183i −0.424418 + 0.735114i
\(842\) −1.30966 + 25.2154i −0.0451339 + 0.868979i
\(843\) 33.5201 + 8.98167i 1.15449 + 0.309345i
\(844\) 43.4806 19.4075i 1.49666 0.668035i
\(845\) 28.9024 3.10636i 0.994274 0.106862i
\(846\) −39.3552 + 8.38443i −1.35306 + 0.288263i
\(847\) 2.88343 10.7611i 0.0990759 0.369756i
\(848\) −0.312828 0.479747i −0.0107426 0.0164746i
\(849\) 63.9524 + 36.9230i 2.19484 + 1.26719i
\(850\) −0.640890 8.05602i −0.0219823 0.276319i
\(851\) −66.5519 38.4237i −2.28137 1.31715i
\(852\) −36.2560 44.6870i −1.24211 1.53095i
\(853\) 13.0205 + 13.0205i 0.445812 + 0.445812i 0.893960 0.448148i \(-0.147916\pi\)
−0.448148 + 0.893960i \(0.647916\pi\)
\(854\) −8.41942 2.73128i −0.288107 0.0934626i
\(855\) −32.3390 + 95.3270i −1.10597 + 3.26011i
\(856\) −7.41941 3.29087i −0.253590 0.112480i
\(857\) −15.2812 + 15.2812i −0.521996 + 0.521996i −0.918174 0.396177i \(-0.870336\pi\)
0.396177 + 0.918174i \(0.370336\pi\)
\(858\) 4.84838 + 0.469957i 0.165521 + 0.0160441i
\(859\) 23.7087 0.808930 0.404465 0.914553i \(-0.367458\pi\)
0.404465 + 0.914553i \(0.367458\pi\)
\(860\) −19.4147 16.1102i −0.662037 0.549352i
\(861\) −0.555655 0.962423i −0.0189367 0.0327993i
\(862\) −2.92609 5.73614i −0.0996630 0.195374i
\(863\) 22.8772 22.8772i 0.778749 0.778749i −0.200869 0.979618i \(-0.564377\pi\)
0.979618 + 0.200869i \(0.0643766\pi\)
\(864\) −54.6424 + 31.7183i −1.85897 + 1.07908i
\(865\) 19.8863 29.7742i 0.676155 1.01235i
\(866\) −9.80023 46.0007i −0.333025 1.56317i
\(867\) 46.9784 12.5878i 1.59547 0.427505i
\(868\) −1.77516 11.1405i −0.0602528 0.378133i
\(869\) 3.45455 1.99449i 0.117188 0.0676584i
\(870\) −16.4487 12.2660i −0.557664 0.415857i
\(871\) −1.70782 1.09065i −0.0578674 0.0369554i
\(872\) −29.3497 4.60636i −0.993908 0.155991i
\(873\) −7.58538 + 28.3090i −0.256726 + 0.958115i
\(874\) 49.1983 + 54.5889i 1.66416 + 1.84650i
\(875\) −8.59183 7.52619i −0.290457 0.254432i
\(876\) −18.7642 42.0393i −0.633985 1.42038i
\(877\) 7.83003 + 29.2221i 0.264401 + 0.986759i 0.962616 + 0.270871i \(0.0873116\pi\)
−0.698214 + 0.715889i \(0.746022\pi\)
\(878\) −34.4474 + 17.5721i −1.16254 + 0.593030i
\(879\) 30.0641 1.01404
\(880\) 1.40483 2.37241i 0.0473567 0.0799738i
\(881\) −12.7834 22.1416i −0.430685 0.745968i 0.566248 0.824235i \(-0.308395\pi\)
−0.996932 + 0.0782672i \(0.975061\pi\)
\(882\) 2.88541 55.5538i 0.0971567 1.87059i
\(883\) −28.9260 + 28.9260i −0.973436 + 0.973436i −0.999656 0.0262202i \(-0.991653\pi\)
0.0262202 + 0.999656i \(0.491653\pi\)
\(884\) −8.15079 1.21955i −0.274141 0.0410178i
\(885\) 0.376483 5.76078i 0.0126553 0.193646i
\(886\) −12.2008 13.5377i −0.409895 0.454807i
\(887\) 1.64375 6.13455i 0.0551916 0.205978i −0.932824 0.360333i \(-0.882663\pi\)
0.988015 + 0.154355i \(0.0493299\pi\)
\(888\) −55.5134 + 68.7503i −1.86291 + 2.30711i
\(889\) 0.348904i 0.0117019i
\(890\) 36.9759 + 14.7237i 1.23944 + 0.493540i
\(891\) −3.95124 2.28125i −0.132371 0.0764247i
\(892\) 13.2452 + 5.07016i 0.443483 + 0.169761i
\(893\) 28.3687 7.60137i 0.949322 0.254370i
\(894\) 48.7750 43.9585i 1.63128 1.47019i
\(895\) 48.2725 + 16.3761i 1.61357 + 0.547393i
\(896\) −1.17055 + 11.4989i −0.0391052 + 0.384150i
\(897\) −62.8621 + 57.4750i −2.09890 + 1.91903i
\(898\) −0.287037 + 0.442450i −0.00957853 + 0.0147648i
\(899\) −5.77993 10.0111i −0.192771 0.333890i
\(900\) −45.3960 + 47.9635i −1.51320 + 1.59878i
\(901\) −0.0818210 + 0.141718i −0.00272585 + 0.00472132i
\(902\) 0.0832810 0.128373i 0.00277296 0.00427435i
\(903\) 4.62259 + 17.2517i 0.153830 + 0.574102i
\(904\) −2.36473 22.1993i −0.0786496 0.738338i
\(905\) 26.2443 23.0245i 0.872391 0.765360i
\(906\) 53.8022 + 17.4536i 1.78746 + 0.579857i
\(907\) −3.35800 + 12.5322i −0.111500 + 0.416125i −0.999001 0.0446806i \(-0.985773\pi\)
0.887501 + 0.460806i \(0.152440\pi\)
\(908\) 46.7456 7.44859i 1.55131 0.247190i
\(909\) 86.9812i 2.88498i
\(910\) −9.45645 + 6.80127i −0.313478 + 0.225460i
\(911\) 26.9314i 0.892278i −0.894964 0.446139i \(-0.852799\pi\)
0.894964 0.446139i \(-0.147201\pi\)
\(912\) 70.7826 46.1552i 2.34385 1.52835i
\(913\) 0.0964947 0.360123i 0.00319351 0.0119183i
\(914\) 3.47556 10.7137i 0.114961 0.354378i
\(915\) −2.76858 + 42.3635i −0.0915263 + 1.40049i
\(916\) 2.59344 24.8988i 0.0856896 0.822681i
\(917\) −4.06635 15.1758i −0.134283 0.501150i
\(918\) 15.1445 + 9.82491i 0.499844 + 0.324270i
\(919\) 4.01543 6.95492i 0.132457 0.229422i −0.792166 0.610305i \(-0.791047\pi\)
0.924623 + 0.380884i \(0.124380\pi\)
\(920\) 14.3700 + 46.0202i 0.473766 + 1.51724i
\(921\) 0.418139 + 0.724238i 0.0137781 + 0.0238644i
\(922\) −11.4685 7.44014i −0.377696 0.245028i
\(923\) −24.7054 + 22.5883i −0.813189 + 0.743502i
\(924\) −1.78242 + 0.795580i −0.0586372 + 0.0261727i
\(925\) −19.2717 + 46.5760i −0.633649 + 1.53141i
\(926\) −11.8786 13.1802i −0.390356 0.433127i
\(927\) 15.0229 4.02537i 0.493416 0.132211i
\(928\) 3.09218 + 11.4332i 0.101506 + 0.375313i
\(929\) −37.7767 21.8104i −1.23941 0.715576i −0.270440 0.962737i \(-0.587169\pi\)
−0.968975 + 0.247161i \(0.920502\pi\)
\(930\) −49.6993 + 21.3912i −1.62970 + 0.701445i
\(931\) 40.6026i 1.33070i
\(932\) 11.4016 + 14.0529i 0.373473 + 0.460320i
\(933\) −5.80663 + 21.6706i −0.190100 + 0.709465i
\(934\) 7.13478 6.43023i 0.233457 0.210404i
\(935\) −0.786104 0.0513742i −0.0257084 0.00168011i
\(936\) 37.1886 + 56.1493i 1.21555 + 1.83530i
\(937\) 18.8092 18.8092i 0.614470 0.614470i −0.329638 0.944107i \(-0.606927\pi\)
0.944107 + 0.329638i \(0.106927\pi\)
\(938\) 0.810899 + 0.0421173i 0.0264768 + 0.00137518i
\(939\) 22.5225 + 39.0101i 0.734994 + 1.27305i
\(940\) 18.9932 + 3.24164i 0.619490 + 0.105731i
\(941\) 27.3829 0.892657 0.446329 0.894869i \(-0.352731\pi\)
0.446329 + 0.894869i \(0.352731\pi\)
\(942\) −5.32018 10.4294i −0.173341 0.339808i
\(943\) 0.692529 + 2.58455i 0.0225518 + 0.0841646i
\(944\) −2.22517 + 2.48061i −0.0724230 + 0.0807370i
\(945\) 25.0232 4.98236i 0.814005 0.162076i
\(946\) −1.82681 + 1.64642i −0.0593948 + 0.0535296i
\(947\) 3.83512 14.3129i 0.124625 0.465106i −0.875201 0.483759i \(-0.839271\pi\)
0.999826 + 0.0186529i \(0.00593776\pi\)
\(948\) 74.9049 + 28.6730i 2.43280 + 0.931255i
\(949\) −23.7684 + 12.3397i −0.771555 + 0.400565i
\(950\) 31.2735 36.6794i 1.01464 1.19004i
\(951\) −34.6650 + 20.0139i −1.12409 + 0.648994i
\(952\) 3.08146 1.18782i 0.0998708 0.0384976i
\(953\) −1.70789 + 0.457629i −0.0553241 + 0.0148240i −0.286375 0.958118i \(-0.592450\pi\)
0.231051 + 0.972942i \(0.425784\pi\)
\(954\) 1.30789 0.278641i 0.0423446 0.00902133i
\(955\) −9.52755 + 1.89703i −0.308304 + 0.0613863i
\(956\) −20.5898 2.14461i −0.665920 0.0693616i
\(957\) −1.41432 + 1.41432i −0.0457186 + 0.0457186i
\(958\) 23.9686 12.2267i 0.774389 0.395027i
\(959\) −4.28959 7.42978i −0.138518 0.239920i
\(960\) 54.8394 8.11910i 1.76993 0.262043i
\(961\) 0.516842 0.0166723
\(962\) 41.8296 + 29.8769i 1.34864 + 0.963271i
\(963\) 13.4003 13.4003i 0.431820 0.431820i
\(964\) −30.7261 + 42.3742i −0.989623 + 1.36478i
\(965\) −8.42577 17.0776i −0.271235 0.549748i
\(966\) 10.5319 32.4656i 0.338860 1.04456i
\(967\) 8.19662 + 8.19662i 0.263585 + 0.263585i 0.826509 0.562924i \(-0.190323\pi\)
−0.562924 + 0.826509i \(0.690323\pi\)
\(968\) 23.9974 + 19.3771i 0.771307 + 0.622803i
\(969\) −20.9093 12.0720i −0.671704 0.387809i
\(970\) 8.38934 11.2501i 0.269366 0.361219i
\(971\) −21.4499 12.3841i −0.688360 0.397425i 0.114637 0.993407i \(-0.463429\pi\)
−0.802997 + 0.595983i \(0.796763\pi\)
\(972\) −3.89040 24.4152i −0.124785 0.783119i
\(973\) −0.494045 + 1.84380i −0.0158384 + 0.0591096i
\(974\) 9.92065 + 46.5660i 0.317878 + 1.49207i
\(975\) 42.7718 + 35.9426i 1.36980 + 1.15108i
\(976\) 16.3634 18.2419i 0.523779 0.583908i
\(977\) 43.5959 + 11.6815i 1.39475 + 0.373723i 0.876458 0.481478i \(-0.159900\pi\)
0.518296 + 0.855201i \(0.326566\pi\)
\(978\) −24.2279 1.25837i −0.774723 0.0402384i
\(979\) 1.93983 3.35988i 0.0619972 0.107382i
\(980\) −11.1248 + 24.2031i −0.355368 + 0.773139i
\(981\) 34.6833 60.0733i 1.10735 1.91799i
\(982\) 5.20780 + 10.2091i 0.166188 + 0.325785i
\(983\) 20.9021 20.9021i 0.666674 0.666674i −0.290270 0.956945i \(-0.593745\pi\)
0.956945 + 0.290270i \(0.0937452\pi\)
\(984\) 3.05944 0.325899i 0.0975313 0.0103893i
\(985\) −46.1407 + 22.7650i −1.47017 + 0.725352i
\(986\) 2.51382 2.26558i 0.0800563 0.0721508i
\(987\) −9.64535 9.64535i −0.307015 0.307015i
\(988\) −29.2326 39.5195i −0.930014 1.25728i
\(989\) 43.0026i 1.36740i
\(990\) 3.98879 + 5.05292i 0.126772 + 0.160592i
\(991\) 7.30688 4.21863i 0.232111 0.134009i −0.379435 0.925219i \(-0.623882\pi\)
0.611545 + 0.791209i \(0.290548\pi\)
\(992\) 30.1870 + 8.01299i 0.958437 + 0.254413i
\(993\) −19.4449 19.4449i −0.617066 0.617066i
\(994\) 4.13916 12.7593i 0.131286 0.404701i
\(995\) 0.973552 + 4.88953i 0.0308637 + 0.155008i
\(996\) 6.84539 3.05543i 0.216904 0.0968152i
\(997\) 6.36755 + 23.7640i 0.201662 + 0.752614i 0.990441 + 0.137937i \(0.0440471\pi\)
−0.788779 + 0.614677i \(0.789286\pi\)
\(998\) 0.922028 17.7521i 0.0291863 0.561934i
\(999\) −56.2976 97.5104i −1.78118 3.08509i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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 260.2.bj.c.3.19 144
4.3 odd 2 inner 260.2.bj.c.3.24 yes 144
5.2 odd 4 inner 260.2.bj.c.107.2 yes 144
13.9 even 3 inner 260.2.bj.c.243.31 yes 144
20.7 even 4 inner 260.2.bj.c.107.31 yes 144
52.35 odd 6 inner 260.2.bj.c.243.2 yes 144
65.22 odd 12 inner 260.2.bj.c.87.24 yes 144
260.87 even 12 inner 260.2.bj.c.87.19 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
260.2.bj.c.3.19 144 1.1 even 1 trivial
260.2.bj.c.3.24 yes 144 4.3 odd 2 inner
260.2.bj.c.87.19 yes 144 260.87 even 12 inner
260.2.bj.c.87.24 yes 144 65.22 odd 12 inner
260.2.bj.c.107.2 yes 144 5.2 odd 4 inner
260.2.bj.c.107.31 yes 144 20.7 even 4 inner
260.2.bj.c.243.2 yes 144 52.35 odd 6 inner
260.2.bj.c.243.31 yes 144 13.9 even 3 inner