Properties

Label 483.2.r.a.181.5
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(34,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 11, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.34");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.5
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.334222 - 2.32456i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-3.37290 + 0.990372i) q^{4} +(1.07873 - 1.24492i) q^{5} +(-0.661639 + 2.25334i) q^{6} +(1.29219 - 2.30873i) q^{7} +(1.47830 + 3.23703i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.334222 - 2.32456i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(-3.37290 + 0.990372i) q^{4} +(1.07873 - 1.24492i) q^{5} +(-0.661639 + 2.25334i) q^{6} +(1.29219 - 2.30873i) q^{7} +(1.47830 + 3.23703i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-3.25443 - 2.09149i) q^{10} +(-3.91184 - 0.562438i) q^{11} +(3.47951 + 0.500278i) q^{12} +(0.979692 - 1.52443i) q^{13} +(-5.79867 - 2.23215i) q^{14} +(-1.49840 + 0.684298i) q^{15} +(1.11609 - 0.717265i) q^{16} +(-6.74391 - 1.98019i) q^{17} +(1.53792 - 1.77485i) q^{18} +(4.11285 - 1.20764i) q^{19} +(-2.40551 + 5.26733i) q^{20} +(-2.13450 + 1.56330i) q^{21} +9.28129i q^{22} +(-4.78483 + 0.324602i) q^{23} -3.55861i q^{24} +(0.325406 + 2.26325i) q^{25} +(-3.87107 - 1.76786i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-2.07193 + 9.06687i) q^{28} +(8.12133 + 2.38464i) q^{29} +(2.09149 + 3.25443i) q^{30} +(6.17870 - 2.82172i) q^{31} +(2.62044 + 3.02415i) q^{32} +(3.32469 + 2.13665i) q^{33} +(-2.34912 + 16.3385i) q^{34} +(-1.48026 - 4.09917i) q^{35} +(-2.95725 - 1.90051i) q^{36} +(-4.72547 + 4.09464i) q^{37} +(-4.18184 - 9.15695i) q^{38} +(-1.52443 + 0.979692i) q^{39} +(5.62452 + 1.65151i) q^{40} +(2.19465 + 1.90167i) q^{41} +(4.34738 + 4.43929i) q^{42} +(-8.86097 - 4.04667i) q^{43} +(13.7513 - 1.97713i) q^{44} +1.64726 q^{45} +(2.35375 + 11.0142i) q^{46} +1.92547i q^{47} +(-1.31319 + 0.188808i) q^{48} +(-3.66048 - 5.96665i) q^{49} +(5.15230 - 1.51285i) q^{50} +(5.31188 + 4.60277i) q^{51} +(-1.79465 + 6.11201i) q^{52} +(-6.37111 - 9.91365i) q^{53} +(-2.13624 + 0.975588i) q^{54} +(-4.92001 + 4.26321i) q^{55} +(9.38367 + 0.769862i) q^{56} +(-4.24285 - 0.610030i) q^{57} +(2.82892 - 19.6755i) q^{58} +(1.25097 - 1.94655i) q^{59} +(4.37626 - 3.79205i) q^{60} +(5.49756 + 12.0380i) q^{61} +(-8.62431 - 13.4197i) q^{62} +(2.59103 - 0.535324i) q^{63} +(7.89162 - 9.10742i) q^{64} +(-0.840971 - 2.86408i) q^{65} +(3.85559 - 8.44256i) q^{66} +(1.67086 - 0.240234i) q^{67} +24.7077 q^{68} +(4.48728 + 1.69242i) q^{69} +(-9.03404 + 4.81099i) q^{70} +(-0.974007 - 6.77437i) q^{71} +(-1.47830 + 3.23703i) q^{72} +(-0.672332 - 2.28975i) q^{73} +(11.0976 + 9.61613i) q^{74} +(0.644187 - 2.19390i) q^{75} +(-12.6762 + 8.14650i) q^{76} +(-6.35337 + 8.30461i) q^{77} +(2.78685 + 3.21620i) q^{78} +(5.47972 - 8.52661i) q^{79} +(0.311017 - 2.16317i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(3.68706 - 5.73718i) q^{82} +(-5.24590 - 6.05410i) q^{83} +(5.65120 - 7.38680i) q^{84} +(-9.74003 + 6.25954i) q^{85} +(-6.44521 + 21.9504i) q^{86} +(-6.39681 - 5.54287i) q^{87} +(-3.96225 - 13.4942i) q^{88} +(4.00205 - 8.76326i) q^{89} +(-0.550551 - 3.82917i) q^{90} +(-2.25355 - 4.23170i) q^{91} +(15.8173 - 5.83361i) q^{92} -6.79253 q^{93} +(4.47588 - 0.643535i) q^{94} +(2.93323 - 6.42289i) q^{95} +(-1.12736 - 3.83944i) q^{96} +(0.0230611 - 0.0266139i) q^{97} +(-12.6464 + 10.5032i) q^{98} +(-2.13665 - 3.32469i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.334222 2.32456i −0.236330 1.64371i −0.669797 0.742544i \(-0.733619\pi\)
0.433467 0.901169i \(-0.357290\pi\)
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) −3.37290 + 0.990372i −1.68645 + 0.495186i
\(5\) 1.07873 1.24492i 0.482422 0.556745i −0.461403 0.887191i \(-0.652654\pi\)
0.943825 + 0.330446i \(0.107199\pi\)
\(6\) −0.661639 + 2.25334i −0.270113 + 0.919921i
\(7\) 1.29219 2.30873i 0.488403 0.872618i
\(8\) 1.47830 + 3.23703i 0.522658 + 1.14446i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) −3.25443 2.09149i −1.02914 0.661388i
\(11\) −3.91184 0.562438i −1.17946 0.169581i −0.475434 0.879751i \(-0.657709\pi\)
−0.704030 + 0.710170i \(0.748618\pi\)
\(12\) 3.47951 + 0.500278i 1.00445 + 0.144418i
\(13\) 0.979692 1.52443i 0.271718 0.422801i −0.678400 0.734693i \(-0.737326\pi\)
0.950118 + 0.311892i \(0.100963\pi\)
\(14\) −5.79867 2.23215i −1.54976 0.596568i
\(15\) −1.49840 + 0.684298i −0.386886 + 0.176685i
\(16\) 1.11609 0.717265i 0.279021 0.179316i
\(17\) −6.74391 1.98019i −1.63564 0.480267i −0.670479 0.741928i \(-0.733912\pi\)
−0.965160 + 0.261661i \(0.915730\pi\)
\(18\) 1.53792 1.77485i 0.362491 0.418337i
\(19\) 4.11285 1.20764i 0.943553 0.277052i 0.226452 0.974022i \(-0.427287\pi\)
0.717100 + 0.696970i \(0.245469\pi\)
\(20\) −2.40551 + 5.26733i −0.537888 + 1.17781i
\(21\) −2.13450 + 1.56330i −0.465786 + 0.341140i
\(22\) 9.28129i 1.97878i
\(23\) −4.78483 + 0.324602i −0.997707 + 0.0676841i
\(24\) 3.55861i 0.726398i
\(25\) 0.325406 + 2.26325i 0.0650811 + 0.452649i
\(26\) −3.87107 1.76786i −0.759178 0.346705i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −2.07193 + 9.06687i −0.391558 + 1.71348i
\(29\) 8.12133 + 2.38464i 1.50809 + 0.442816i 0.928264 0.371921i \(-0.121301\pi\)
0.579830 + 0.814738i \(0.303119\pi\)
\(30\) 2.09149 + 3.25443i 0.381853 + 0.594174i
\(31\) 6.17870 2.82172i 1.10973 0.506796i 0.225684 0.974200i \(-0.427538\pi\)
0.884043 + 0.467405i \(0.154811\pi\)
\(32\) 2.62044 + 3.02415i 0.463233 + 0.534600i
\(33\) 3.32469 + 2.13665i 0.578754 + 0.371943i
\(34\) −2.34912 + 16.3385i −0.402870 + 2.80202i
\(35\) −1.48026 4.09917i −0.250210 0.692886i
\(36\) −2.95725 1.90051i −0.492875 0.316752i
\(37\) −4.72547 + 4.09464i −0.776862 + 0.673155i −0.950177 0.311711i \(-0.899098\pi\)
0.173314 + 0.984867i \(0.444552\pi\)
\(38\) −4.18184 9.15695i −0.678384 1.48545i
\(39\) −1.52443 + 0.979692i −0.244104 + 0.156876i
\(40\) 5.62452 + 1.65151i 0.889315 + 0.261127i
\(41\) 2.19465 + 1.90167i 0.342746 + 0.296992i 0.809175 0.587567i \(-0.199914\pi\)
−0.466429 + 0.884559i \(0.654460\pi\)
\(42\) 4.34738 + 4.43929i 0.670816 + 0.684997i
\(43\) −8.86097 4.04667i −1.35129 0.617111i −0.397500 0.917602i \(-0.630122\pi\)
−0.953785 + 0.300491i \(0.902850\pi\)
\(44\) 13.7513 1.97713i 2.07308 0.298064i
\(45\) 1.64726 0.245560
\(46\) 2.35375 + 11.0142i 0.347042 + 1.62395i
\(47\) 1.92547i 0.280859i 0.990091 + 0.140430i \(0.0448484\pi\)
−0.990091 + 0.140430i \(0.955152\pi\)
\(48\) −1.31319 + 0.188808i −0.189543 + 0.0272521i
\(49\) −3.66048 5.96665i −0.522926 0.852378i
\(50\) 5.15230 1.51285i 0.728645 0.213949i
\(51\) 5.31188 + 4.60277i 0.743812 + 0.644516i
\(52\) −1.79465 + 6.11201i −0.248873 + 0.847583i
\(53\) −6.37111 9.91365i −0.875140 1.36174i −0.931656 0.363342i \(-0.881635\pi\)
0.0565158 0.998402i \(-0.482001\pi\)
\(54\) −2.13624 + 0.975588i −0.290705 + 0.132761i
\(55\) −4.92001 + 4.26321i −0.663413 + 0.574851i
\(56\) 9.38367 + 0.769862i 1.25395 + 0.102877i
\(57\) −4.24285 0.610030i −0.561980 0.0808005i
\(58\) 2.82892 19.6755i 0.371455 2.58353i
\(59\) 1.25097 1.94655i 0.162863 0.253420i −0.750225 0.661183i \(-0.770055\pi\)
0.913088 + 0.407763i \(0.133691\pi\)
\(60\) 4.37626 3.79205i 0.564972 0.489551i
\(61\) 5.49756 + 12.0380i 0.703890 + 1.54130i 0.835190 + 0.549962i \(0.185358\pi\)
−0.131300 + 0.991343i \(0.541915\pi\)
\(62\) −8.62431 13.4197i −1.09529 1.70430i
\(63\) 2.59103 0.535324i 0.326439 0.0674445i
\(64\) 7.89162 9.10742i 0.986453 1.13843i
\(65\) −0.840971 2.86408i −0.104310 0.355246i
\(66\) 3.85559 8.44256i 0.474590 1.03921i
\(67\) 1.67086 0.240234i 0.204128 0.0293492i −0.0394921 0.999220i \(-0.512574\pi\)
0.243620 + 0.969871i \(0.421665\pi\)
\(68\) 24.7077 2.99624
\(69\) 4.48728 + 1.69242i 0.540205 + 0.203744i
\(70\) −9.03404 + 4.81099i −1.07977 + 0.575023i
\(71\) −0.974007 6.77437i −0.115593 0.803970i −0.962316 0.271935i \(-0.912337\pi\)
0.846722 0.532035i \(-0.178573\pi\)
\(72\) −1.47830 + 3.23703i −0.174219 + 0.381487i
\(73\) −0.672332 2.28975i −0.0786905 0.267995i 0.910745 0.412969i \(-0.135508\pi\)
−0.989435 + 0.144974i \(0.953690\pi\)
\(74\) 11.0976 + 9.61613i 1.29007 + 1.11785i
\(75\) 0.644187 2.19390i 0.0743843 0.253330i
\(76\) −12.6762 + 8.14650i −1.45406 + 0.934468i
\(77\) −6.35337 + 8.30461i −0.724033 + 0.946398i
\(78\) 2.78685 + 3.21620i 0.315549 + 0.364163i
\(79\) 5.47972 8.52661i 0.616516 0.959318i −0.382853 0.923809i \(-0.625058\pi\)
0.999369 0.0355091i \(-0.0113053\pi\)
\(80\) 0.311017 2.16317i 0.0347728 0.241850i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) 3.68706 5.73718i 0.407168 0.633565i
\(83\) −5.24590 6.05410i −0.575813 0.664523i 0.390886 0.920439i \(-0.372169\pi\)
−0.966699 + 0.255916i \(0.917623\pi\)
\(84\) 5.65120 7.38680i 0.616597 0.805966i
\(85\) −9.74003 + 6.25954i −1.05645 + 0.678942i
\(86\) −6.44521 + 21.9504i −0.695004 + 2.36697i
\(87\) −6.39681 5.54287i −0.685810 0.594258i
\(88\) −3.96225 13.4942i −0.422377 1.43848i
\(89\) 4.00205 8.76326i 0.424216 0.928904i −0.570014 0.821635i \(-0.693062\pi\)
0.994230 0.107269i \(-0.0342106\pi\)
\(90\) −0.550551 3.82917i −0.0580332 0.403630i
\(91\) −2.25355 4.23170i −0.236236 0.443603i
\(92\) 15.8173 5.83361i 1.64907 0.608196i
\(93\) −6.79253 −0.704352
\(94\) 4.47588 0.643535i 0.461652 0.0663755i
\(95\) 2.93323 6.42289i 0.300943 0.658974i
\(96\) −1.12736 3.83944i −0.115061 0.391861i
\(97\) 0.0230611 0.0266139i 0.00234150 0.00270224i −0.754578 0.656211i \(-0.772158\pi\)
0.756919 + 0.653509i \(0.226704\pi\)
\(98\) −12.6464 + 10.5032i −1.27748 + 1.06098i
\(99\) −2.13665 3.32469i −0.214741 0.334144i
\(100\) −3.33902 7.31142i −0.333902 0.731142i
\(101\) −2.57031 + 2.22718i −0.255755 + 0.221613i −0.773296 0.634046i \(-0.781393\pi\)
0.517541 + 0.855659i \(0.326848\pi\)
\(102\) 8.92408 13.8861i 0.883615 1.37493i
\(103\) 1.90995 13.2840i 0.188193 1.30891i −0.648490 0.761223i \(-0.724599\pi\)
0.836683 0.547687i \(-0.184492\pi\)
\(104\) 6.38290 + 0.917722i 0.625895 + 0.0899901i
\(105\) −0.356365 + 4.34366i −0.0347777 + 0.423898i
\(106\) −20.9155 + 18.1234i −2.03150 + 1.76030i
\(107\) −3.56999 + 1.63036i −0.345124 + 0.157613i −0.580434 0.814308i \(-0.697117\pi\)
0.235310 + 0.971920i \(0.424390\pi\)
\(108\) 1.90051 + 2.95725i 0.182877 + 0.284562i
\(109\) −0.988603 + 3.36687i −0.0946910 + 0.322488i −0.993193 0.116482i \(-0.962838\pi\)
0.898502 + 0.438970i \(0.144656\pi\)
\(110\) 11.5545 + 10.0120i 1.10167 + 0.954607i
\(111\) 5.99941 1.76159i 0.569439 0.167202i
\(112\) −0.213774 3.50358i −0.0201998 0.331058i
\(113\) 13.4399 1.93236i 1.26432 0.181781i 0.522648 0.852549i \(-0.324944\pi\)
0.741668 + 0.670767i \(0.234035\pi\)
\(114\) 10.0667i 0.942829i
\(115\) −4.75744 + 6.30689i −0.443633 + 0.588121i
\(116\) −29.7541 −2.76260
\(117\) 1.79365 0.257888i 0.165823 0.0238417i
\(118\) −4.94298 2.25739i −0.455039 0.207809i
\(119\) −13.2862 + 13.0111i −1.21794 + 1.19273i
\(120\) −4.43018 3.83878i −0.404419 0.350431i
\(121\) 4.43174 + 1.30128i 0.402885 + 0.118298i
\(122\) 26.1456 16.8028i 2.36711 1.52125i
\(123\) −1.20634 2.64151i −0.108772 0.238177i
\(124\) −18.0456 + 15.6366i −1.62054 + 1.40421i
\(125\) 10.0974 + 6.48922i 0.903141 + 0.580413i
\(126\) −2.11037 5.84409i −0.188007 0.520633i
\(127\) −1.15963 + 8.06542i −0.102901 + 0.715690i 0.871422 + 0.490534i \(0.163198\pi\)
−0.974323 + 0.225156i \(0.927711\pi\)
\(128\) −17.0757 10.9739i −1.50929 0.969964i
\(129\) 6.37917 + 7.36196i 0.561655 + 0.648184i
\(130\) −6.37667 + 2.91213i −0.559271 + 0.255410i
\(131\) −8.27443 12.8753i −0.722940 1.12492i −0.987048 0.160424i \(-0.948714\pi\)
0.264108 0.964493i \(-0.414922\pi\)
\(132\) −13.3299 3.91402i −1.16022 0.340671i
\(133\) 2.52647 11.0560i 0.219073 0.958674i
\(134\) −1.11688 3.80373i −0.0964834 0.328592i
\(135\) −1.49840 0.684298i −0.128962 0.0588950i
\(136\) −3.55960 24.7575i −0.305233 2.12294i
\(137\) 2.16432i 0.184911i −0.995717 0.0924553i \(-0.970528\pi\)
0.995717 0.0924553i \(-0.0294715\pi\)
\(138\) 2.43440 10.9966i 0.207230 0.936094i
\(139\) 17.6115i 1.49379i −0.664944 0.746893i \(-0.731545\pi\)
0.664944 0.746893i \(-0.268455\pi\)
\(140\) 9.05247 + 12.3601i 0.765073 + 1.04462i
\(141\) 0.799871 1.75147i 0.0673613 0.147501i
\(142\) −15.4219 + 4.52828i −1.29418 + 0.380005i
\(143\) −4.68979 + 5.41231i −0.392180 + 0.452600i
\(144\) 1.27295 + 0.373773i 0.106079 + 0.0311477i
\(145\) 11.7294 7.53803i 0.974074 0.625999i
\(146\) −5.09797 + 2.32816i −0.421911 + 0.192680i
\(147\) 0.851054 + 6.94807i 0.0701937 + 0.573067i
\(148\) 11.8833 18.4908i 0.976802 1.51993i
\(149\) −5.57632 0.801754i −0.456830 0.0656823i −0.0899413 0.995947i \(-0.528668\pi\)
−0.366889 + 0.930265i \(0.619577\pi\)
\(150\) −5.31516 0.764204i −0.433981 0.0623970i
\(151\) 2.68822 + 1.72762i 0.218764 + 0.140591i 0.645434 0.763816i \(-0.276677\pi\)
−0.426669 + 0.904408i \(0.640313\pi\)
\(152\) 9.98920 + 11.5281i 0.810231 + 0.935056i
\(153\) −2.91980 6.39346i −0.236051 0.516881i
\(154\) 21.4280 + 11.9932i 1.72672 + 0.966441i
\(155\) 3.15233 10.7359i 0.253201 0.862325i
\(156\) 4.17149 4.81415i 0.333986 0.385441i
\(157\) −0.665729 + 0.195476i −0.0531310 + 0.0156007i −0.308190 0.951325i \(-0.599723\pi\)
0.255059 + 0.966925i \(0.417905\pi\)
\(158\) −21.6521 9.88817i −1.72255 0.786660i
\(159\) 1.67709 + 11.6644i 0.133002 + 0.925049i
\(160\) 6.59158 0.521110
\(161\) −5.43351 + 11.4663i −0.428220 + 0.903674i
\(162\) 2.34847 0.184513
\(163\) −0.376860 2.62112i −0.0295179 0.205302i 0.969725 0.244198i \(-0.0785248\pi\)
−0.999243 + 0.0388966i \(0.987616\pi\)
\(164\) −9.28569 4.24063i −0.725091 0.331138i
\(165\) 6.24640 1.83411i 0.486281 0.142785i
\(166\) −12.3198 + 14.2178i −0.956204 + 1.10352i
\(167\) 2.45535 8.36217i 0.190001 0.647084i −0.808298 0.588774i \(-0.799611\pi\)
0.998299 0.0583098i \(-0.0185711\pi\)
\(168\) −8.21588 4.59841i −0.633869 0.354775i
\(169\) 4.03630 + 8.83827i 0.310485 + 0.679867i
\(170\) 17.8060 + 20.5492i 1.36566 + 1.57605i
\(171\) 3.60602 + 2.31745i 0.275759 + 0.177220i
\(172\) 33.8949 + 4.87334i 2.58446 + 0.371589i
\(173\) 14.6147 + 2.10128i 1.11114 + 0.159757i 0.673351 0.739323i \(-0.264854\pi\)
0.437785 + 0.899080i \(0.355763\pi\)
\(174\) −10.7468 + 16.7223i −0.814712 + 1.26772i
\(175\) 5.64571 + 2.17327i 0.426776 + 0.164284i
\(176\) −4.76936 + 2.17810i −0.359504 + 0.164180i
\(177\) −1.94655 + 1.25097i −0.146312 + 0.0940289i
\(178\) −21.7083 6.37414i −1.62711 0.477762i
\(179\) 13.9802 16.1340i 1.04493 1.20591i 0.0668280 0.997765i \(-0.478712\pi\)
0.978098 0.208144i \(-0.0667424\pi\)
\(180\) −5.55606 + 1.63141i −0.414124 + 0.121598i
\(181\) 8.96766 19.6364i 0.666561 1.45957i −0.209718 0.977762i \(-0.567255\pi\)
0.876279 0.481804i \(-0.160018\pi\)
\(182\) −9.08366 + 6.65284i −0.673326 + 0.493141i
\(183\) 13.2339i 0.978278i
\(184\) −8.12417 15.0088i −0.598921 1.10646i
\(185\) 10.2998i 0.757259i
\(186\) 2.27021 + 15.7897i 0.166460 + 1.15775i
\(187\) 25.2674 + 11.5392i 1.84773 + 0.843832i
\(188\) −1.90694 6.49443i −0.139078 0.473655i
\(189\) −2.57926 0.589404i −0.187614 0.0428729i
\(190\) −15.9107 4.67182i −1.15429 0.338929i
\(191\) 8.65476 + 13.4671i 0.626236 + 0.974442i 0.998919 + 0.0464837i \(0.0148016\pi\)
−0.372683 + 0.927959i \(0.621562\pi\)
\(192\) −10.9618 + 5.00610i −0.791102 + 0.361284i
\(193\) 8.18201 + 9.44254i 0.588954 + 0.679689i 0.969505 0.245071i \(-0.0788113\pi\)
−0.380551 + 0.924760i \(0.624266\pi\)
\(194\) −0.0695733 0.0447120i −0.00499507 0.00321014i
\(195\) −0.424809 + 2.95461i −0.0304212 + 0.211584i
\(196\) 18.2556 + 16.4997i 1.30397 + 1.17855i
\(197\) −2.66115 1.71022i −0.189599 0.121848i 0.442398 0.896819i \(-0.354128\pi\)
−0.631997 + 0.774971i \(0.717764\pi\)
\(198\) −7.01433 + 6.07795i −0.498487 + 0.431941i
\(199\) 2.85596 + 6.25368i 0.202454 + 0.443312i 0.983439 0.181237i \(-0.0580101\pi\)
−0.780986 + 0.624549i \(0.785283\pi\)
\(200\) −6.84514 + 4.39910i −0.484024 + 0.311064i
\(201\) −1.61967 0.475577i −0.114242 0.0335446i
\(202\) 6.03627 + 5.23046i 0.424711 + 0.368014i
\(203\) 15.9998 15.6686i 1.12297 1.09972i
\(204\) −22.4749 10.2639i −1.57356 0.718619i
\(205\) 4.73486 0.680770i 0.330697 0.0475471i
\(206\) −31.5178 −2.19595
\(207\) −3.37872 3.40357i −0.234837 0.236564i
\(208\) 2.40409i 0.166694i
\(209\) −16.7680 + 2.41088i −1.15987 + 0.166764i
\(210\) 10.2162 0.623351i 0.704985 0.0430153i
\(211\) 12.7078 3.73135i 0.874841 0.256877i 0.186668 0.982423i \(-0.440231\pi\)
0.688173 + 0.725546i \(0.258413\pi\)
\(212\) 31.3073 + 27.1279i 2.15020 + 1.86315i
\(213\) −1.92819 + 6.56680i −0.132117 + 0.449950i
\(214\) 4.98304 + 7.75376i 0.340634 + 0.530036i
\(215\) −14.5964 + 6.66593i −0.995464 + 0.454613i
\(216\) 2.68942 2.33039i 0.182992 0.158563i
\(217\) 1.46948 17.9112i 0.0997548 1.21589i
\(218\) 8.15692 + 1.17279i 0.552456 + 0.0794312i
\(219\) −0.339623 + 2.36213i −0.0229496 + 0.159618i
\(220\) 12.3725 19.2520i 0.834155 1.29797i
\(221\) −9.62562 + 8.34065i −0.647489 + 0.561053i
\(222\) −6.10005 13.3572i −0.409409 0.896480i
\(223\) −0.257625 0.400872i −0.0172519 0.0268444i 0.832521 0.553994i \(-0.186897\pi\)
−0.849772 + 0.527150i \(0.823261\pi\)
\(224\) 10.3681 2.14211i 0.692746 0.143126i
\(225\) −1.49735 + 1.72804i −0.0998234 + 0.115202i
\(226\) −8.98378 30.5960i −0.597592 2.03521i
\(227\) −7.58483 + 16.6085i −0.503423 + 1.10234i 0.471919 + 0.881642i \(0.343562\pi\)
−0.975342 + 0.220701i \(0.929166\pi\)
\(228\) 14.9149 2.14443i 0.987761 0.142019i
\(229\) −15.4782 −1.02283 −0.511415 0.859334i \(-0.670878\pi\)
−0.511415 + 0.859334i \(0.670878\pi\)
\(230\) 16.2508 + 8.95106i 1.07155 + 0.590215i
\(231\) 9.22909 4.91486i 0.607229 0.323374i
\(232\) 4.28663 + 29.8142i 0.281431 + 1.95740i
\(233\) 0.908651 1.98967i 0.0595277 0.130348i −0.877530 0.479521i \(-0.840810\pi\)
0.937058 + 0.349174i \(0.113538\pi\)
\(234\) −1.19895 4.08326i −0.0783779 0.266931i
\(235\) 2.39706 + 2.07706i 0.156367 + 0.135493i
\(236\) −2.29159 + 7.80445i −0.149170 + 0.508027i
\(237\) −8.52661 + 5.47972i −0.553863 + 0.355946i
\(238\) 34.6856 + 26.5359i 2.24833 + 1.72007i
\(239\) 15.1386 + 17.4709i 0.979235 + 1.13010i 0.991491 + 0.130173i \(0.0415532\pi\)
−0.0122562 + 0.999925i \(0.503901\pi\)
\(240\) −1.18152 + 1.83849i −0.0762671 + 0.118674i
\(241\) 2.00350 13.9347i 0.129057 0.897610i −0.817696 0.575650i \(-0.804749\pi\)
0.946753 0.321960i \(-0.104342\pi\)
\(242\) 1.54371 10.7368i 0.0992336 0.690185i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) −30.4648 35.1582i −1.95031 2.25077i
\(245\) −11.3767 1.87939i −0.726828 0.120070i
\(246\) −5.73718 + 3.68706i −0.365789 + 0.235078i
\(247\) 2.18836 7.45287i 0.139242 0.474215i
\(248\) 18.2680 + 15.8293i 1.16002 + 1.00516i
\(249\) 2.25688 + 7.68623i 0.143024 + 0.487095i
\(250\) 11.7098 25.6409i 0.740594 1.62167i
\(251\) −3.38211 23.5231i −0.213477 1.48476i −0.761427 0.648251i \(-0.775501\pi\)
0.547950 0.836511i \(-0.315408\pi\)
\(252\) −8.20910 + 4.37167i −0.517125 + 0.275390i
\(253\) 18.9001 + 1.42138i 1.18824 + 0.0893615i
\(254\) 19.1361 1.20071
\(255\) 11.4602 1.64772i 0.717663 0.103184i
\(256\) −9.79022 + 21.4376i −0.611888 + 1.33985i
\(257\) 4.42124 + 15.0574i 0.275789 + 0.939253i 0.974601 + 0.223947i \(0.0718943\pi\)
−0.698812 + 0.715306i \(0.746288\pi\)
\(258\) 14.9813 17.2893i 0.932693 1.07639i
\(259\) 3.34721 + 16.2009i 0.207986 + 1.00668i
\(260\) 5.67302 + 8.82739i 0.351826 + 0.547451i
\(261\) 3.51615 + 7.69930i 0.217644 + 0.476575i
\(262\) −27.1638 + 23.5376i −1.67819 + 1.45416i
\(263\) −13.3231 + 20.7312i −0.821541 + 1.27834i 0.136192 + 0.990682i \(0.456514\pi\)
−0.957733 + 0.287660i \(0.907123\pi\)
\(264\) −2.00150 + 13.9207i −0.123184 + 0.856761i
\(265\) −19.2144 2.76261i −1.18033 0.169706i
\(266\) −26.5447 2.17780i −1.62756 0.133529i
\(267\) −7.28078 + 6.30883i −0.445577 + 0.386094i
\(268\) −5.39773 + 2.46506i −0.329719 + 0.150577i
\(269\) 7.50911 + 11.6844i 0.457838 + 0.712410i 0.991038 0.133579i \(-0.0426470\pi\)
−0.533200 + 0.845989i \(0.679011\pi\)
\(270\) −1.08990 + 3.71184i −0.0663289 + 0.225895i
\(271\) −1.83256 1.58793i −0.111320 0.0964596i 0.597422 0.801927i \(-0.296192\pi\)
−0.708742 + 0.705467i \(0.750737\pi\)
\(272\) −8.94710 + 2.62711i −0.542498 + 0.159292i
\(273\) 0.291988 + 4.78545i 0.0176719 + 0.289629i
\(274\) −5.03110 + 0.723364i −0.303940 + 0.0437000i
\(275\) 9.03648i 0.544920i
\(276\) −16.8113 1.26429i −1.01192 0.0761015i
\(277\) −16.7587 −1.00693 −0.503465 0.864016i \(-0.667942\pi\)
−0.503465 + 0.864016i \(0.667942\pi\)
\(278\) −40.9390 + 5.88614i −2.45536 + 0.353027i
\(279\) 6.17870 + 2.82172i 0.369909 + 0.168932i
\(280\) 11.0809 10.8514i 0.662208 0.648498i
\(281\) −8.33373 7.22122i −0.497149 0.430782i 0.369850 0.929091i \(-0.379409\pi\)
−0.866999 + 0.498309i \(0.833954\pi\)
\(282\) −4.33874 1.27397i −0.258368 0.0758637i
\(283\) −18.3094 + 11.7668i −1.08838 + 0.699461i −0.956479 0.291802i \(-0.905745\pi\)
−0.131904 + 0.991263i \(0.542109\pi\)
\(284\) 9.99437 + 21.8846i 0.593057 + 1.29861i
\(285\) −5.33633 + 4.62395i −0.316097 + 0.273899i
\(286\) 14.1487 + 9.09281i 0.836629 + 0.537669i
\(287\) 7.22636 2.60953i 0.426559 0.154035i
\(288\) −0.569477 + 3.96080i −0.0335567 + 0.233392i
\(289\) 27.2579 + 17.5176i 1.60341 + 1.03045i
\(290\) −21.4428 24.7463i −1.25917 1.45316i
\(291\) −0.0320329 + 0.0146290i −0.00187780 + 0.000857565i
\(292\) 4.53542 + 7.05724i 0.265415 + 0.412994i
\(293\) 17.9834 + 5.28040i 1.05060 + 0.308484i 0.761060 0.648681i \(-0.224679\pi\)
0.289541 + 0.957166i \(0.406497\pi\)
\(294\) 15.8668 4.30052i 0.925370 0.250812i
\(295\) −1.07384 3.65716i −0.0625214 0.212928i
\(296\) −20.2401 9.24336i −1.17643 0.537259i
\(297\) 0.562438 + 3.91184i 0.0326359 + 0.226988i
\(298\) 13.2305i 0.766421i
\(299\) −4.19283 + 7.61215i −0.242478 + 0.440222i
\(300\) 8.03778i 0.464062i
\(301\) −20.7927 + 15.2285i −1.19847 + 0.877757i
\(302\) 3.11749 6.82635i 0.179391 0.392812i
\(303\) 3.26324 0.958173i 0.187468 0.0550456i
\(304\) 3.72409 4.29783i 0.213591 0.246498i
\(305\) 20.9167 + 6.14169i 1.19769 + 0.351672i
\(306\) −13.8861 + 8.92408i −0.793817 + 0.510155i
\(307\) 24.1489 11.0284i 1.37825 0.629426i 0.417970 0.908461i \(-0.362742\pi\)
0.960281 + 0.279034i \(0.0900143\pi\)
\(308\) 13.2046 34.3028i 0.752402 1.95458i
\(309\) −7.25572 + 11.2901i −0.412763 + 0.642272i
\(310\) −26.0097 3.73964i −1.47725 0.212397i
\(311\) 1.28891 + 0.185318i 0.0730876 + 0.0105084i 0.178762 0.983892i \(-0.442791\pi\)
−0.105674 + 0.994401i \(0.533700\pi\)
\(312\) −5.42485 3.48634i −0.307122 0.197375i
\(313\) 11.6262 + 13.4174i 0.657154 + 0.758396i 0.982310 0.187264i \(-0.0599621\pi\)
−0.325156 + 0.945661i \(0.605417\pi\)
\(314\) 0.676896 + 1.48220i 0.0381995 + 0.0836452i
\(315\) 2.12858 3.80309i 0.119932 0.214280i
\(316\) −10.0380 + 34.1863i −0.564682 + 1.92313i
\(317\) 10.0410 11.5879i 0.563957 0.650841i −0.400121 0.916462i \(-0.631032\pi\)
0.964077 + 0.265622i \(0.0855773\pi\)
\(318\) 26.5542 7.79701i 1.48908 0.437234i
\(319\) −30.4282 13.8961i −1.70365 0.778031i
\(320\) −2.82508 19.6489i −0.157927 1.09841i
\(321\) 3.92465 0.219053
\(322\) 28.4702 + 8.79822i 1.58658 + 0.490306i
\(323\) −30.1281 −1.67637
\(324\) −0.500278 3.47951i −0.0277932 0.193306i
\(325\) 3.76896 + 1.72122i 0.209064 + 0.0954764i
\(326\) −5.96700 + 1.75207i −0.330481 + 0.0970381i
\(327\) 2.29791 2.65193i 0.127075 0.146652i
\(328\) −2.91142 + 9.91538i −0.160756 + 0.547485i
\(329\) 4.44540 + 2.48808i 0.245083 + 0.137172i
\(330\) −6.35118 13.9071i −0.349621 0.765563i
\(331\) −9.66786 11.1573i −0.531394 0.613261i 0.425053 0.905169i \(-0.360256\pi\)
−0.956447 + 0.291907i \(0.905710\pi\)
\(332\) 23.6897 + 15.2245i 1.30014 + 0.835550i
\(333\) −6.18905 0.889851i −0.339158 0.0487635i
\(334\) −20.2590 2.91281i −1.10852 0.159382i
\(335\) 1.50334 2.33924i 0.0821360 0.127806i
\(336\) −1.26099 + 3.27578i −0.0687924 + 0.178708i
\(337\) −16.0486 + 7.32916i −0.874224 + 0.399245i −0.801420 0.598102i \(-0.795922\pi\)
−0.0728037 + 0.997346i \(0.523195\pi\)
\(338\) 19.1961 12.3366i 1.04413 0.671022i
\(339\) −13.0281 3.82538i −0.707587 0.207766i
\(340\) 26.6529 30.7590i 1.44545 1.66814i
\(341\) −25.7571 + 7.56298i −1.39483 + 0.409558i
\(342\) 4.18184 9.15695i 0.226128 0.495151i
\(343\) −18.5054 + 0.741007i −0.999199 + 0.0400106i
\(344\) 34.6654i 1.86903i
\(345\) 6.94749 3.76064i 0.374040 0.202466i
\(346\) 34.6751i 1.86414i
\(347\) −3.22460 22.4276i −0.173106 1.20398i −0.872273 0.489019i \(-0.837355\pi\)
0.699167 0.714958i \(-0.253554\pi\)
\(348\) 27.0653 + 12.3603i 1.45085 + 0.662582i
\(349\) −5.59080 19.0405i −0.299269 1.01922i −0.962608 0.270897i \(-0.912680\pi\)
0.663340 0.748318i \(-0.269138\pi\)
\(350\) 3.16499 13.8502i 0.169176 0.740322i
\(351\) −1.73869 0.510526i −0.0928044 0.0272498i
\(352\) −8.54986 13.3038i −0.455709 0.709097i
\(353\) −15.6824 + 7.16193i −0.834692 + 0.381191i −0.786457 0.617645i \(-0.788087\pi\)
−0.0482347 + 0.998836i \(0.515360\pi\)
\(354\) 3.55854 + 4.10678i 0.189135 + 0.218273i
\(355\) −9.48423 6.09515i −0.503371 0.323497i
\(356\) −4.81961 + 33.5211i −0.255439 + 1.77662i
\(357\) 17.4905 6.31604i 0.925697 0.334280i
\(358\) −42.1769 27.1054i −2.22912 1.43257i
\(359\) −2.34077 + 2.02828i −0.123541 + 0.107049i −0.714440 0.699697i \(-0.753319\pi\)
0.590899 + 0.806745i \(0.298773\pi\)
\(360\) 2.43515 + 5.33224i 0.128344 + 0.281034i
\(361\) −0.526680 + 0.338477i −0.0277200 + 0.0178146i
\(362\) −48.6433 14.2830i −2.55664 0.750696i
\(363\) −3.49068 3.02469i −0.183213 0.158755i
\(364\) 11.7919 + 12.0412i 0.618066 + 0.631133i
\(365\) −3.57582 1.63302i −0.187167 0.0854764i
\(366\) −30.7630 + 4.42305i −1.60801 + 0.231197i
\(367\) 23.8986 1.24750 0.623749 0.781624i \(-0.285609\pi\)
0.623749 + 0.781624i \(0.285609\pi\)
\(368\) −5.10746 + 3.79427i −0.266245 + 0.197790i
\(369\) 2.90394i 0.151173i
\(370\) 23.9426 3.44243i 1.24472 0.178963i
\(371\) −31.1206 + 1.89885i −1.61570 + 0.0985836i
\(372\) 22.9105 6.72713i 1.18785 0.348786i
\(373\) −0.719100 0.623103i −0.0372336 0.0322631i 0.636045 0.771652i \(-0.280569\pi\)
−0.673279 + 0.739389i \(0.735115\pi\)
\(374\) 18.3787 62.5922i 0.950342 3.23657i
\(375\) −6.48922 10.0974i −0.335102 0.521428i
\(376\) −6.23281 + 2.84643i −0.321433 + 0.146793i
\(377\) 11.5916 10.0442i 0.596999 0.517302i
\(378\) −0.508062 + 6.19265i −0.0261319 + 0.318516i
\(379\) −3.94434 0.567111i −0.202607 0.0291305i 0.0402639 0.999189i \(-0.487180\pi\)
−0.242871 + 0.970059i \(0.578089\pi\)
\(380\) −3.53245 + 24.5687i −0.181211 + 1.26035i
\(381\) 4.40533 6.85483i 0.225692 0.351184i
\(382\) 28.4124 24.6195i 1.45371 1.25964i
\(383\) 9.46634 + 20.7284i 0.483707 + 1.05917i 0.981427 + 0.191834i \(0.0614434\pi\)
−0.497720 + 0.867338i \(0.665829\pi\)
\(384\) 10.9739 + 17.0757i 0.560009 + 0.871391i
\(385\) 3.48501 + 16.8679i 0.177613 + 0.859665i
\(386\) 19.2152 22.1755i 0.978026 1.12870i
\(387\) −2.74443 9.34668i −0.139507 0.475118i
\(388\) −0.0514251 + 0.112605i −0.00261071 + 0.00571666i
\(389\) −6.34012 + 0.911571i −0.321457 + 0.0462185i −0.301154 0.953575i \(-0.597372\pi\)
−0.0203023 + 0.999794i \(0.506463\pi\)
\(390\) 7.01016 0.354973
\(391\) 32.9113 + 7.28580i 1.66439 + 0.368459i
\(392\) 13.9029 20.6696i 0.702203 1.04397i
\(393\) 2.17811 + 15.1491i 0.109871 + 0.764170i
\(394\) −3.08609 + 6.75760i −0.155475 + 0.340443i
\(395\) −4.70381 16.0197i −0.236674 0.806039i
\(396\) 10.4994 + 9.09776i 0.527614 + 0.457180i
\(397\) −0.794097 + 2.70445i −0.0398546 + 0.135732i −0.977017 0.213161i \(-0.931624\pi\)
0.937163 + 0.348893i \(0.113442\pi\)
\(398\) 13.5826 8.72898i 0.680832 0.437544i
\(399\) −6.89098 + 9.00733i −0.344980 + 0.450931i
\(400\) 1.98653 + 2.29257i 0.0993263 + 0.114629i
\(401\) −2.36132 + 3.67428i −0.117919 + 0.183485i −0.895195 0.445674i \(-0.852964\pi\)
0.777277 + 0.629159i \(0.216600\pi\)
\(402\) −0.564181 + 3.92396i −0.0281388 + 0.195709i
\(403\) 1.75171 12.1834i 0.0872589 0.606899i
\(404\) 6.46364 10.0576i 0.321578 0.500385i
\(405\) 1.07873 + 1.24492i 0.0536025 + 0.0618606i
\(406\) −41.7700 31.9558i −2.07301 1.58594i
\(407\) 20.7883 13.3598i 1.03044 0.662221i
\(408\) −7.04673 + 23.9990i −0.348865 + 1.18813i
\(409\) 9.11834 + 7.90108i 0.450873 + 0.390683i 0.850484 0.526001i \(-0.176309\pi\)
−0.399611 + 0.916685i \(0.630855\pi\)
\(410\) −3.16499 10.7790i −0.156307 0.532334i
\(411\) −0.899093 + 1.96874i −0.0443490 + 0.0971107i
\(412\) 6.71403 + 46.6971i 0.330776 + 2.30060i
\(413\) −2.87757 5.40348i −0.141596 0.265888i
\(414\) −6.78256 + 8.99158i −0.333345 + 0.441912i
\(415\) −13.1958 −0.647755
\(416\) 7.17734 1.03195i 0.351898 0.0505953i
\(417\) −7.31607 + 16.0200i −0.358270 + 0.784501i
\(418\) 11.2085 + 38.1726i 0.548225 + 1.86708i
\(419\) −3.47779 + 4.01358i −0.169901 + 0.196076i −0.834314 0.551289i \(-0.814136\pi\)
0.664413 + 0.747366i \(0.268682\pi\)
\(420\) −3.09985 15.0037i −0.151257 0.732103i
\(421\) 11.4420 + 17.8041i 0.557648 + 0.867717i 0.999570 0.0293364i \(-0.00933942\pi\)
−0.441922 + 0.897054i \(0.645703\pi\)
\(422\) −12.9210 28.2930i −0.628983 1.37728i
\(423\) −1.45518 + 1.26092i −0.0707531 + 0.0613079i
\(424\) 22.6723 35.2788i 1.10107 1.71329i
\(425\) 2.28715 15.9075i 0.110943 0.771627i
\(426\) 15.9094 + 2.28742i 0.770812 + 0.110826i
\(427\) 34.8963 + 2.86299i 1.68875 + 0.138550i
\(428\) 10.4265 9.03466i 0.503986 0.436707i
\(429\) 6.51434 2.97500i 0.314515 0.143634i
\(430\) 20.3738 + 31.7022i 0.982512 + 1.52882i
\(431\) −6.15787 + 20.9718i −0.296614 + 1.01017i 0.667483 + 0.744625i \(0.267372\pi\)
−0.964097 + 0.265550i \(0.914447\pi\)
\(432\) −1.00265 0.868799i −0.0482399 0.0418001i
\(433\) 3.14094 0.922263i 0.150944 0.0443211i −0.205388 0.978681i \(-0.565846\pi\)
0.356332 + 0.934360i \(0.384027\pi\)
\(434\) −42.1267 + 2.57040i −2.02215 + 0.123383i
\(435\) −13.8008 + 1.98426i −0.661700 + 0.0951381i
\(436\) 12.3352i 0.590749i
\(437\) −19.2873 + 7.11340i −0.922637 + 0.340280i
\(438\) 5.60443 0.267790
\(439\) −30.3753 + 4.36731i −1.44973 + 0.208440i −0.821778 0.569808i \(-0.807018\pi\)
−0.627957 + 0.778248i \(0.716109\pi\)
\(440\) −21.0734 9.62388i −1.00463 0.458801i
\(441\) 2.11219 6.67373i 0.100580 0.317797i
\(442\) 22.6054 + 19.5877i 1.07523 + 0.931693i
\(443\) 4.61116 + 1.35396i 0.219083 + 0.0643285i 0.389432 0.921055i \(-0.372671\pi\)
−0.170349 + 0.985384i \(0.554490\pi\)
\(444\) −18.4908 + 11.8833i −0.877534 + 0.563957i
\(445\) −6.59243 14.4354i −0.312511 0.684304i
\(446\) −0.845749 + 0.732846i −0.0400474 + 0.0347012i
\(447\) 4.73934 + 3.04579i 0.224163 + 0.144061i
\(448\) −10.8291 29.9882i −0.511626 1.41681i
\(449\) −4.27877 + 29.7595i −0.201927 + 1.40444i 0.596629 + 0.802517i \(0.296506\pi\)
−0.798557 + 0.601919i \(0.794403\pi\)
\(450\) 4.51737 + 2.90314i 0.212951 + 0.136855i
\(451\) −7.51554 8.67340i −0.353893 0.408414i
\(452\) −43.4175 + 19.8281i −2.04219 + 0.932636i
\(453\) −1.72762 2.68822i −0.0811705 0.126304i
\(454\) 41.1424 + 12.0805i 1.93091 + 0.566966i
\(455\) −7.69910 1.75937i −0.360939 0.0824806i
\(456\) −4.29753 14.6360i −0.201250 0.685395i
\(457\) 28.4368 + 12.9866i 1.33022 + 0.607489i 0.948496 0.316789i \(-0.102605\pi\)
0.381720 + 0.924278i \(0.375332\pi\)
\(458\) 5.17316 + 35.9801i 0.241726 + 1.68124i
\(459\) 7.02862i 0.328068i
\(460\) 9.80018 25.9841i 0.456936 1.21152i
\(461\) 9.40502i 0.438035i 0.975721 + 0.219018i \(0.0702852\pi\)
−0.975721 + 0.219018i \(0.929715\pi\)
\(462\) −14.5094 19.8109i −0.675040 0.921688i
\(463\) 9.27784 20.3156i 0.431178 0.944147i −0.561956 0.827167i \(-0.689951\pi\)
0.993134 0.116981i \(-0.0373216\pi\)
\(464\) 10.7745 3.16368i 0.500195 0.146870i
\(465\) −7.32730 + 8.45615i −0.339795 + 0.392145i
\(466\) −4.92880 1.44723i −0.228322 0.0670414i
\(467\) 27.3630 17.5851i 1.26621 0.813742i 0.277086 0.960845i \(-0.410631\pi\)
0.989121 + 0.147103i \(0.0469950\pi\)
\(468\) −5.79439 + 2.64621i −0.267846 + 0.122321i
\(469\) 1.60444 4.16800i 0.0740861 0.192460i
\(470\) 4.02711 6.26631i 0.185757 0.289043i
\(471\) 0.686772 + 0.0987429i 0.0316448 + 0.00454983i
\(472\) 8.15036 + 1.17184i 0.375151 + 0.0539385i
\(473\) 32.3867 + 20.8137i 1.48914 + 0.957013i
\(474\) 15.5877 + 17.9892i 0.715968 + 0.826271i
\(475\) 4.07153 + 8.91542i 0.186815 + 0.409067i
\(476\) 31.9270 57.0433i 1.46337 2.61458i
\(477\) 3.32004 11.3070i 0.152014 0.517713i
\(478\) 35.5525 41.0298i 1.62613 1.87666i
\(479\) 17.0372 5.00259i 0.778452 0.228574i 0.131715 0.991288i \(-0.457952\pi\)
0.646736 + 0.762714i \(0.276133\pi\)
\(480\) −5.99591 2.73824i −0.273675 0.124983i
\(481\) 1.61249 + 11.2151i 0.0735233 + 0.511366i
\(482\) −33.0616 −1.50591
\(483\) 9.70578 8.17299i 0.441628 0.371884i
\(484\) −16.2365 −0.738025
\(485\) −0.00825553 0.0574184i −0.000374864 0.00260724i
\(486\) −2.13624 0.975588i −0.0969018 0.0442536i
\(487\) −6.41083 + 1.88239i −0.290503 + 0.0852993i −0.423737 0.905785i \(-0.639282\pi\)
0.133234 + 0.991085i \(0.457464\pi\)
\(488\) −30.8402 + 35.5915i −1.39607 + 1.61115i
\(489\) −0.746048 + 2.54081i −0.0337375 + 0.114899i
\(490\) −0.566442 + 27.0739i −0.0255892 + 1.22307i
\(491\) 6.33203 + 13.8652i 0.285761 + 0.625729i 0.997015 0.0772060i \(-0.0245999\pi\)
−0.711254 + 0.702935i \(0.751873\pi\)
\(492\) 6.68494 + 7.71483i 0.301380 + 0.347811i
\(493\) −50.0475 32.1636i −2.25403 1.44858i
\(494\) −18.0560 2.59607i −0.812380 0.116803i
\(495\) −6.44384 0.926484i −0.289629 0.0416424i
\(496\) 4.87204 7.58104i 0.218761 0.340399i
\(497\) −16.8988 6.50506i −0.758015 0.291792i
\(498\) 17.1128 7.81516i 0.766843 0.350206i
\(499\) −15.9719 + 10.2645i −0.715000 + 0.459502i −0.846894 0.531761i \(-0.821530\pi\)
0.131895 + 0.991264i \(0.457894\pi\)
\(500\) −40.4843 11.8873i −1.81051 0.531615i
\(501\) −5.70724 + 6.58650i −0.254981 + 0.294263i
\(502\) −53.5504 + 15.7238i −2.39007 + 0.701789i
\(503\) −3.06630 + 6.71427i −0.136720 + 0.299374i −0.965591 0.260065i \(-0.916256\pi\)
0.828872 + 0.559439i \(0.188983\pi\)
\(504\) 5.56318 + 7.59586i 0.247804 + 0.338346i
\(505\) 5.60235i 0.249301i
\(506\) −3.01272 44.4094i −0.133932 1.97424i
\(507\) 9.71632i 0.431517i
\(508\) −4.07645 28.3523i −0.180863 1.25793i
\(509\) 11.7172 + 5.35106i 0.519355 + 0.237182i 0.657806 0.753188i \(-0.271485\pi\)
−0.138450 + 0.990369i \(0.544212\pi\)
\(510\) −7.66046 26.0891i −0.339211 1.15525i
\(511\) −6.15521 1.40657i −0.272290 0.0622228i
\(512\) 14.1536 + 4.15589i 0.625509 + 0.183666i
\(513\) −2.31745 3.60602i −0.102318 0.159210i
\(514\) 33.5241 15.3099i 1.47868 0.675293i
\(515\) −14.4772 16.7076i −0.637941 0.736223i
\(516\) −28.8074 18.5134i −1.26817 0.815006i
\(517\) 1.08296 7.53215i 0.0476285 0.331263i
\(518\) 36.5413 13.1955i 1.60553 0.579777i
\(519\) −12.4211 7.98256i −0.545226 0.350395i
\(520\) 8.02791 6.95622i 0.352047 0.305051i
\(521\) −5.08004 11.1237i −0.222560 0.487339i 0.765107 0.643903i \(-0.222686\pi\)
−0.987668 + 0.156563i \(0.949959\pi\)
\(522\) 16.7223 10.7468i 0.731916 0.470374i
\(523\) −7.42252 2.17945i −0.324564 0.0953006i 0.115392 0.993320i \(-0.463188\pi\)
−0.439956 + 0.898019i \(0.645006\pi\)
\(524\) 40.6601 + 35.2322i 1.77624 + 1.53912i
\(525\) −4.23271 4.32219i −0.184731 0.188636i
\(526\) 52.6439 + 24.0417i 2.29538 + 1.04827i
\(527\) −47.2562 + 6.79441i −2.05851 + 0.295969i
\(528\) 5.24318 0.228180
\(529\) 22.7893 3.10633i 0.990838 0.135058i
\(530\) 45.5884i 1.98023i
\(531\) 2.29032 0.329298i 0.0993914 0.0142903i
\(532\) 2.42799 + 39.7928i 0.105267 + 1.72524i
\(533\) 5.04905 1.48253i 0.218698 0.0642157i
\(534\) 17.0987 + 14.8161i 0.739932 + 0.641155i
\(535\) −1.82138 + 6.20307i −0.0787453 + 0.268182i
\(536\) 3.24768 + 5.05349i 0.140278 + 0.218277i
\(537\) −19.4191 + 8.86840i −0.837996 + 0.382700i
\(538\) 24.6514 21.3606i 1.06280 0.920919i
\(539\) 10.9633 + 25.3994i 0.472225 + 1.09403i
\(540\) 5.73168 + 0.824091i 0.246652 + 0.0354632i
\(541\) 0.122704 0.853423i 0.00527544 0.0366915i −0.987014 0.160636i \(-0.948645\pi\)
0.992289 + 0.123945i \(0.0395545\pi\)
\(542\) −3.07875 + 4.79063i −0.132244 + 0.205775i
\(543\) −16.3145 + 14.1366i −0.700124 + 0.606661i
\(544\) −11.6836 25.5836i −0.500932 1.09689i
\(545\) 3.12505 + 4.86267i 0.133862 + 0.208294i
\(546\) 11.0265 2.27814i 0.471890 0.0974956i
\(547\) −10.9458 + 12.6321i −0.468007 + 0.540109i −0.939856 0.341571i \(-0.889041\pi\)
0.471849 + 0.881679i \(0.343587\pi\)
\(548\) 2.14349 + 7.30004i 0.0915652 + 0.311842i
\(549\) −5.49756 + 12.0380i −0.234630 + 0.513768i
\(550\) −21.0058 + 3.02018i −0.895692 + 0.128781i
\(551\) 36.2816 1.54565
\(552\) 1.15513 + 17.0274i 0.0491656 + 0.724733i
\(553\) −12.6048 23.6692i −0.536011 1.00652i
\(554\) 5.60110 + 38.9565i 0.237968 + 1.65510i
\(555\) 4.27871 9.36906i 0.181621 0.397695i
\(556\) 17.4419 + 59.4017i 0.739702 + 2.51919i
\(557\) 25.0010 + 21.6635i 1.05933 + 0.917912i 0.996784 0.0801303i \(-0.0255337\pi\)
0.0625425 + 0.998042i \(0.480079\pi\)
\(558\) 4.49420 15.3059i 0.190255 0.647948i
\(559\) −14.8499 + 9.54344i −0.628083 + 0.403644i
\(560\) −4.59229 3.51329i −0.194060 0.148463i
\(561\) −18.1904 20.9929i −0.768001 0.886321i
\(562\) −14.0009 + 21.7858i −0.590591 + 0.918977i
\(563\) −1.47141 + 10.2339i −0.0620125 + 0.431306i 0.935037 + 0.354549i \(0.115366\pi\)
−0.997050 + 0.0767571i \(0.975543\pi\)
\(564\) −0.963272 + 6.69971i −0.0405611 + 0.282109i
\(565\) 12.0923 18.8160i 0.508728 0.791597i
\(566\) 33.4720 + 38.6287i 1.40693 + 1.62369i
\(567\) 2.10133 + 1.60761i 0.0882477 + 0.0675131i
\(568\) 20.4889 13.1674i 0.859697 0.552493i
\(569\) −6.81565 + 23.2120i −0.285727 + 0.973096i 0.684118 + 0.729372i \(0.260188\pi\)
−0.969844 + 0.243725i \(0.921631\pi\)
\(570\) 12.5322 + 10.8592i 0.524915 + 0.454842i
\(571\) −5.43095 18.4961i −0.227278 0.774038i −0.991616 0.129222i \(-0.958752\pi\)
0.764337 0.644816i \(-0.223066\pi\)
\(572\) 10.4580 22.8998i 0.437271 0.957489i
\(573\) −2.27822 15.8454i −0.0951741 0.661951i
\(574\) −8.48121 15.9260i −0.353999 0.664737i
\(575\) −2.29166 10.7236i −0.0955690 0.447206i
\(576\) 12.0508 0.502118
\(577\) 32.2858 4.64200i 1.34407 0.193249i 0.567552 0.823338i \(-0.307891\pi\)
0.776523 + 0.630089i \(0.216982\pi\)
\(578\) 31.6105 69.2174i 1.31483 2.87907i
\(579\) −3.52004 11.9882i −0.146288 0.498211i
\(580\) −32.0966 + 37.0415i −1.33274 + 1.53806i
\(581\) −20.7560 + 4.28833i −0.861104 + 0.177910i
\(582\) 0.0447120 + 0.0695733i 0.00185337 + 0.00288390i
\(583\) 19.3470 + 42.3640i 0.801270 + 1.75454i
\(584\) 6.41808 5.56130i 0.265582 0.230128i
\(585\) 1.61381 2.51114i 0.0667229 0.103823i
\(586\) 6.26418 43.5684i 0.258771 1.79979i
\(587\) −31.1145 4.47358i −1.28423 0.184645i −0.533810 0.845605i \(-0.679240\pi\)
−0.750421 + 0.660960i \(0.770149\pi\)
\(588\) −9.75170 22.5923i −0.402153 0.931690i
\(589\) 22.0044 19.0670i 0.906678 0.785641i
\(590\) −8.14240 + 3.71851i −0.335217 + 0.153089i
\(591\) 1.71022 + 2.66115i 0.0703490 + 0.109465i
\(592\) −2.33709 + 7.95938i −0.0960536 + 0.327129i
\(593\) 25.4300 + 22.0352i 1.04428 + 0.904878i 0.995578 0.0939350i \(-0.0299446\pi\)
0.0487067 + 0.998813i \(0.484490\pi\)
\(594\) 8.90534 2.61484i 0.365390 0.107288i
\(595\) 1.86560 + 30.5756i 0.0764821 + 1.25348i
\(596\) 19.6024 2.81840i 0.802946 0.115446i
\(597\) 6.87496i 0.281373i
\(598\) 19.0963 + 7.20234i 0.780904 + 0.294526i
\(599\) 21.9070 0.895097 0.447548 0.894260i \(-0.352297\pi\)
0.447548 + 0.894260i \(0.352297\pi\)
\(600\) 8.05401 1.15799i 0.328804 0.0472748i
\(601\) −16.4726 7.52280i −0.671933 0.306861i 0.0500758 0.998745i \(-0.484054\pi\)
−0.722009 + 0.691884i \(0.756781\pi\)
\(602\) 42.3490 + 43.2443i 1.72602 + 1.76251i
\(603\) 1.27574 + 1.10543i 0.0519521 + 0.0450167i
\(604\) −10.7781 3.16473i −0.438554 0.128771i
\(605\) 6.40063 4.11343i 0.260222 0.167235i
\(606\) −3.31798 7.26535i −0.134784 0.295135i
\(607\) 23.1473 20.0572i 0.939520 0.814098i −0.0432251 0.999065i \(-0.513763\pi\)
0.982745 + 0.184967i \(0.0592178\pi\)
\(608\) 14.4296 + 9.27333i 0.585197 + 0.376083i
\(609\) −21.0629 + 7.60607i −0.853512 + 0.308213i
\(610\) 7.28594 50.6748i 0.294999 2.05176i
\(611\) 2.93525 + 1.88637i 0.118747 + 0.0763144i
\(612\) 16.1801 + 18.6728i 0.654041 + 0.754803i
\(613\) 22.0043 10.0490i 0.888744 0.405876i 0.0818999 0.996641i \(-0.473901\pi\)
0.806844 + 0.590765i \(0.201174\pi\)
\(614\) −33.7074 52.4497i −1.36032 2.11670i
\(615\) −4.58978 1.34768i −0.185078 0.0543438i
\(616\) −36.2744 8.28931i −1.46154 0.333986i
\(617\) −8.31164 28.3069i −0.334614 1.13959i −0.939291 0.343120i \(-0.888516\pi\)
0.604677 0.796471i \(-0.293302\pi\)
\(618\) 28.6696 + 13.0930i 1.15326 + 0.526676i
\(619\) 1.49472 + 10.3960i 0.0600778 + 0.417850i 0.997560 + 0.0698167i \(0.0222414\pi\)
−0.937482 + 0.348034i \(0.886849\pi\)
\(620\) 39.3329i 1.57965i
\(621\) 1.65950 + 4.49956i 0.0665933 + 0.180561i
\(622\) 3.05810i 0.122618i
\(623\) −15.0606 20.5635i −0.603390 0.823858i
\(624\) −0.998696 + 2.18684i −0.0399798 + 0.0875436i
\(625\) 8.00144 2.34943i 0.320058 0.0939774i
\(626\) 27.3038 31.5103i 1.09128 1.25940i
\(627\) 16.2543 + 4.77268i 0.649133 + 0.190603i
\(628\) 2.05184 1.31864i 0.0818774 0.0526194i
\(629\) 39.9763 18.2566i 1.59396 0.727937i
\(630\) −9.55194 3.67695i −0.380558 0.146493i
\(631\) −13.2536 + 20.6230i −0.527618 + 0.820989i −0.998112 0.0614137i \(-0.980439\pi\)
0.470495 + 0.882403i \(0.344075\pi\)
\(632\) 35.7015 + 5.13311i 1.42013 + 0.204184i
\(633\) −13.1095 1.88486i −0.521055 0.0749164i
\(634\) −30.2927 19.4679i −1.20308 0.773170i
\(635\) 8.78987 + 10.1440i 0.348815 + 0.402554i
\(636\) −17.2088 37.6820i −0.682373 1.49419i
\(637\) −12.6819 0.265331i −0.502474 0.0105128i
\(638\) −22.1325 + 75.3765i −0.876235 + 2.98418i
\(639\) 4.48189 5.17237i 0.177301 0.204616i
\(640\) −32.0817 + 9.42003i −1.26814 + 0.372359i
\(641\) 16.4753 + 7.52403i 0.650736 + 0.297181i 0.713299 0.700860i \(-0.247200\pi\)
−0.0625628 + 0.998041i \(0.519927\pi\)
\(642\) −1.31170 9.12310i −0.0517688 0.360060i
\(643\) −36.3106 −1.43195 −0.715974 0.698127i \(-0.754017\pi\)
−0.715974 + 0.698127i \(0.754017\pi\)
\(644\) 6.97072 44.0560i 0.274685 1.73605i
\(645\) 16.0464 0.631828
\(646\) 10.0694 + 70.0346i 0.396177 + 2.75547i
\(647\) 27.3948 + 12.5108i 1.07700 + 0.491850i 0.873300 0.487183i \(-0.161975\pi\)
0.203702 + 0.979033i \(0.434703\pi\)
\(648\) −3.41446 + 1.00258i −0.134133 + 0.0393849i
\(649\) −5.98842 + 6.91101i −0.235066 + 0.271281i
\(650\) 2.74143 9.33644i 0.107528 0.366205i
\(651\) −8.77725 + 15.6821i −0.344008 + 0.614631i
\(652\) 3.86699 + 8.46753i 0.151443 + 0.331614i
\(653\) −9.28543 10.7160i −0.363367 0.419348i 0.544398 0.838827i \(-0.316758\pi\)
−0.907765 + 0.419479i \(0.862213\pi\)
\(654\) −6.93260 4.45531i −0.271086 0.174216i
\(655\) −24.9545 3.58792i −0.975054 0.140192i
\(656\) 3.81342 + 0.548287i 0.148889 + 0.0214070i
\(657\) 1.29020 2.00758i 0.0503353 0.0783233i
\(658\) 4.29795 11.1652i 0.167552 0.435264i
\(659\) 43.4247 19.8314i 1.69158 0.772521i 0.692912 0.721023i \(-0.256328\pi\)
0.998673 0.0514983i \(-0.0163997\pi\)
\(660\) −19.2520 + 12.3725i −0.749383 + 0.481599i
\(661\) −39.3234 11.5464i −1.52950 0.449103i −0.594605 0.804018i \(-0.702692\pi\)
−0.934899 + 0.354915i \(0.884510\pi\)
\(662\) −22.7046 + 26.2026i −0.882441 + 1.01839i
\(663\) 12.2206 3.58829i 0.474609 0.139358i
\(664\) 11.8422 25.9309i 0.459568 1.00631i
\(665\) −11.0384 15.0716i −0.428051 0.584454i
\(666\) 14.6842i 0.569002i
\(667\) −39.6333 8.77390i −1.53461 0.339727i
\(668\) 30.6365i 1.18536i
\(669\) 0.0678156 + 0.471668i 0.00262190 + 0.0182357i
\(670\) −5.94015 2.71277i −0.229488 0.104804i
\(671\) −14.7350 50.1827i −0.568837 1.93728i
\(672\) −10.3210 2.35852i −0.398141 0.0909818i
\(673\) −18.1339 5.32460i −0.699011 0.205248i −0.0871290 0.996197i \(-0.527769\pi\)
−0.611882 + 0.790949i \(0.709587\pi\)
\(674\) 22.4009 + 34.8564i 0.862850 + 1.34262i
\(675\) 2.07989 0.949854i 0.0800550 0.0365599i
\(676\) −22.3672 25.8132i −0.860278 0.992814i
\(677\) 6.00431 + 3.85874i 0.230764 + 0.148303i 0.650914 0.759152i \(-0.274386\pi\)
−0.420149 + 0.907455i \(0.638022\pi\)
\(678\) −4.53808 + 31.5631i −0.174284 + 1.21217i
\(679\) −0.0316450 0.0876322i −0.00121443 0.00336302i
\(680\) −34.6610 22.2753i −1.32919 0.854218i
\(681\) 13.7988 11.9567i 0.528772 0.458183i
\(682\) 26.1892 + 57.3464i 1.00284 + 2.19591i
\(683\) 5.71395 3.67213i 0.218638 0.140510i −0.426737 0.904376i \(-0.640337\pi\)
0.645376 + 0.763865i \(0.276701\pi\)
\(684\) −14.4579 4.24521i −0.552810 0.162320i
\(685\) −2.69441 2.33472i −0.102948 0.0892050i
\(686\) 7.90743 + 42.7694i 0.301907 + 1.63294i
\(687\) 14.0795 + 6.42989i 0.537166 + 0.245315i
\(688\) −12.7921 + 1.83923i −0.487695 + 0.0701200i
\(689\) −21.3544 −0.813537
\(690\) −11.0638 14.8930i −0.421193 0.566966i
\(691\) 45.7735i 1.74131i 0.491898 + 0.870653i \(0.336303\pi\)
−0.491898 + 0.870653i \(0.663697\pi\)
\(692\) −51.3750 + 7.38661i −1.95298 + 0.280797i
\(693\) −10.4368 + 0.636809i −0.396460 + 0.0241904i
\(694\) −51.0566 + 14.9916i −1.93808 + 0.569073i
\(695\) −21.9249 18.9980i −0.831658 0.720636i
\(696\) 8.48600 28.9007i 0.321661 1.09548i
\(697\) −11.0348 17.1705i −0.417974 0.650381i
\(698\) −42.3923 + 19.3599i −1.60457 + 0.732783i
\(699\) −1.65308 + 1.43240i −0.0625251 + 0.0541783i
\(700\) −21.1948 1.73887i −0.801087 0.0657233i
\(701\) −37.9213 5.45226i −1.43227 0.205929i −0.617890 0.786265i \(-0.712012\pi\)
−0.814377 + 0.580336i \(0.802921\pi\)
\(702\) −0.605641 + 4.21232i −0.0228584 + 0.158984i
\(703\) −14.4903 + 22.5473i −0.546511 + 0.850388i
\(704\) −35.9931 + 31.1882i −1.35654 + 1.17545i
\(705\) −1.31760 2.88514i −0.0496236 0.108661i
\(706\) 21.8897 + 34.0611i 0.823832 + 1.28191i
\(707\) 1.82064 + 8.81209i 0.0684721 + 0.331413i
\(708\) 5.32659 6.14722i 0.200186 0.231027i
\(709\) −13.2536 45.1375i −0.497748 1.69517i −0.698567 0.715544i \(-0.746179\pi\)
0.200820 0.979628i \(-0.435639\pi\)
\(710\) −10.9987 + 24.0838i −0.412774 + 0.903849i
\(711\) 10.0324 1.44245i 0.376246 0.0540960i
\(712\) 34.2832 1.28482
\(713\) −28.6481 + 15.5071i −1.07288 + 0.580744i
\(714\) −20.5277 38.5468i −0.768231 1.44258i
\(715\) 1.67888 + 11.6768i 0.0627864 + 0.436689i
\(716\) −31.1750 + 68.2638i −1.16507 + 2.55114i
\(717\) −6.51289 22.1809i −0.243229 0.828360i
\(718\) 5.49721 + 4.76336i 0.205154 + 0.177767i
\(719\) 10.6905 36.4084i 0.398687 1.35780i −0.478682 0.877988i \(-0.658885\pi\)
0.877369 0.479816i \(-0.159296\pi\)
\(720\) 1.83849 1.18152i 0.0685164 0.0440328i
\(721\) −28.2011 21.5750i −1.05027 0.803496i
\(722\) 0.962839 + 1.11118i 0.0358331 + 0.0413537i
\(723\) −7.61112 + 11.8431i −0.283060 + 0.440451i
\(724\) −10.7996 + 75.1131i −0.401365 + 2.79155i
\(725\) −2.75430 + 19.1565i −0.102292 + 0.711456i
\(726\) −5.86442 + 9.12522i −0.217649 + 0.338669i
\(727\) −14.0352 16.1974i −0.520535 0.600730i 0.433230 0.901284i \(-0.357374\pi\)
−0.953765 + 0.300554i \(0.902828\pi\)
\(728\) 10.3667 13.5505i 0.384216 0.502216i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −2.60095 + 8.85801i −0.0962654 + 0.327850i
\(731\) 51.7444 + 44.8368i 1.91384 + 1.65835i
\(732\) 13.1065 + 44.6366i 0.484429 + 1.64982i
\(733\) 19.4617 42.6151i 0.718833 1.57402i −0.0967001 0.995314i \(-0.530829\pi\)
0.815533 0.578711i \(-0.196444\pi\)
\(734\) −7.98744 55.5539i −0.294822 2.05053i
\(735\) 9.56785 + 6.43559i 0.352915 + 0.237380i
\(736\) −13.5200 13.6195i −0.498355 0.502020i
\(737\) −6.67126 −0.245739
\(738\) 6.75038 0.970558i 0.248485 0.0357267i
\(739\) −17.3972 + 38.0945i −0.639965 + 1.40133i 0.260103 + 0.965581i \(0.416243\pi\)
−0.900069 + 0.435748i \(0.856484\pi\)
\(740\) −10.2007 34.7403i −0.374984 1.27708i
\(741\) −5.08663 + 5.87029i −0.186862 + 0.215650i
\(742\) 14.8152 + 71.7072i 0.543883 + 2.63246i
\(743\) 1.38633 + 2.15717i 0.0508594 + 0.0791388i 0.865752 0.500473i \(-0.166841\pi\)
−0.814893 + 0.579612i \(0.803204\pi\)
\(744\) −10.0414 21.9876i −0.368136 0.806104i
\(745\) −7.01346 + 6.07720i −0.256953 + 0.222651i
\(746\) −1.20810 + 1.87985i −0.0442318 + 0.0688261i
\(747\) 1.14004 7.92918i 0.0417120 0.290114i
\(748\) −96.6524 13.8965i −3.53396 0.508107i
\(749\) −0.849050 + 10.3489i −0.0310236 + 0.378140i
\(750\) −21.3032 + 18.4594i −0.777884 + 0.674041i
\(751\) 13.5852 6.20413i 0.495730 0.226392i −0.151830 0.988407i \(-0.548517\pi\)
0.647560 + 0.762014i \(0.275790\pi\)
\(752\) 1.38107 + 2.14899i 0.0503626 + 0.0783657i
\(753\) −6.69536 + 22.8023i −0.243993 + 0.830962i
\(754\) −27.2225 23.5884i −0.991386 0.859040i
\(755\) 5.05061 1.48299i 0.183810 0.0539716i
\(756\) 9.28332 0.566430i 0.337631 0.0206009i
\(757\) −3.40051 + 0.488919i −0.123593 + 0.0177701i −0.203834 0.979005i \(-0.565340\pi\)
0.0802405 + 0.996776i \(0.474431\pi\)
\(758\) 9.35841i 0.339913i
\(759\) −16.6016 9.14431i −0.602602 0.331917i
\(760\) 25.1273 0.911461
\(761\) 27.0239 3.88545i 0.979617 0.140848i 0.366139 0.930560i \(-0.380679\pi\)
0.613477 + 0.789712i \(0.289770\pi\)
\(762\) −17.4068 7.94944i −0.630583 0.287978i
\(763\) 6.49574 + 6.63307i 0.235162 + 0.240133i
\(764\) −42.5290 36.8516i −1.53865 1.33324i
\(765\) −11.1090 3.26190i −0.401647 0.117934i
\(766\) 45.0206 28.9330i 1.62666 1.04539i
\(767\) −1.74181 3.81404i −0.0628933 0.137717i
\(768\) 17.8110 15.4333i 0.642699 0.556902i
\(769\) −21.4579 13.7902i −0.773793 0.497287i 0.0931754 0.995650i \(-0.470298\pi\)
−0.866968 + 0.498363i \(0.833935\pi\)
\(770\) 38.0456 13.7387i 1.37107 0.495109i
\(771\) 2.23335 15.5333i 0.0804323 0.559419i
\(772\) −36.9487 23.7455i −1.32981 0.854619i
\(773\) 12.7813 + 14.7504i 0.459712 + 0.530536i 0.937521 0.347928i \(-0.113115\pi\)
−0.477810 + 0.878463i \(0.658569\pi\)
\(774\) −20.8097 + 9.50346i −0.747989 + 0.341595i
\(775\) 8.39683 + 13.0657i 0.301623 + 0.469334i
\(776\) 0.120241 + 0.0353060i 0.00431641 + 0.00126741i
\(777\) 3.68536 16.1273i 0.132212 0.578565i
\(778\) 4.23801 + 14.4333i 0.151940 + 0.517460i
\(779\) 11.3228 + 5.17095i 0.405681 + 0.185268i
\(780\) −1.49333 10.3863i −0.0534698 0.371890i
\(781\) 27.0481i 0.967856i
\(782\) 5.93664 78.9394i 0.212294 2.82287i
\(783\) 8.46419i 0.302486i
\(784\) −8.36507 4.03376i −0.298753 0.144063i
\(785\) −0.474790 + 1.03964i −0.0169460 + 0.0371065i
\(786\) 34.4870 10.1263i 1.23011 0.361193i
\(787\) 25.8492 29.8316i 0.921426 1.06338i −0.0763736 0.997079i \(-0.524334\pi\)
0.997800 0.0663030i \(-0.0211204\pi\)
\(788\) 10.6695 + 3.13286i 0.380087 + 0.111604i
\(789\) 20.7312 13.3231i 0.738051 0.474317i
\(790\) −35.6667 + 16.2884i −1.26896 + 0.579516i
\(791\) 12.9056 33.5260i 0.458870 1.19205i
\(792\) 7.60350 11.8313i 0.270179 0.420406i
\(793\) 23.7370 + 3.41286i 0.842924 + 0.121194i
\(794\) 6.55205 + 0.942043i 0.232524 + 0.0334319i
\(795\) 16.3304 + 10.4949i 0.579180 + 0.372216i
\(796\) −15.8263 18.2646i −0.560950 0.647371i
\(797\) 15.9836 + 34.9993i 0.566169 + 1.23974i 0.948812 + 0.315841i \(0.102287\pi\)
−0.382643 + 0.923896i \(0.624986\pi\)
\(798\) 23.2412 + 13.0081i 0.822730 + 0.460480i
\(799\) 3.81281 12.9852i 0.134887 0.459384i
\(800\) −5.99170 + 6.91478i −0.211838 + 0.244475i
\(801\) 9.24362 2.71417i 0.326607 0.0959005i
\(802\) 9.33030 + 4.26100i 0.329464 + 0.150461i
\(803\) 1.34221 + 9.33529i 0.0473657 + 0.329435i
\(804\) 5.93397 0.209275
\(805\) 8.41339 + 19.1334i 0.296533 + 0.674362i
\(806\) −28.9066 −1.01819
\(807\) −1.97665 13.7479i −0.0695814 0.483949i
\(808\) −11.0091 5.02770i −0.387300 0.176874i
\(809\) 25.5921 7.51451i 0.899769 0.264196i 0.201040 0.979583i \(-0.435568\pi\)
0.698728 + 0.715387i \(0.253750\pi\)
\(810\) 2.53336 2.92365i 0.0890131 0.102727i
\(811\) −12.8502 + 43.7638i −0.451232 + 1.53676i 0.349034 + 0.937110i \(0.386510\pi\)
−0.800266 + 0.599645i \(0.795308\pi\)
\(812\) −38.4480 + 68.6942i −1.34926 + 2.41070i
\(813\) 1.00731 + 2.20570i 0.0353279 + 0.0773573i
\(814\) −38.0036 43.8585i −1.33202 1.53724i
\(815\) −3.66961 2.35832i −0.128541 0.0826082i
\(816\) 9.22991 + 1.32706i 0.323112 + 0.0464564i
\(817\) −41.3308 5.94247i −1.44598 0.207901i
\(818\) 15.3190 23.8368i 0.535617 0.833436i
\(819\) 1.72235 4.47429i 0.0601836 0.156344i
\(820\) −15.2960 + 6.98544i −0.534159 + 0.243942i
\(821\) −29.5168 + 18.9693i −1.03014 + 0.662032i −0.942530 0.334122i \(-0.891560\pi\)
−0.0876126 + 0.996155i \(0.527924\pi\)
\(822\) 4.87695 + 1.43200i 0.170103 + 0.0499468i
\(823\) 14.6555 16.9133i 0.510858 0.589561i −0.440460 0.897772i \(-0.645185\pi\)
0.951318 + 0.308211i \(0.0997302\pi\)
\(824\) 45.8241 13.4552i 1.59636 0.468733i
\(825\) −3.75389 + 8.21987i −0.130694 + 0.286179i
\(826\) −11.5990 + 8.49505i −0.403580 + 0.295580i
\(827\) 33.4173i 1.16203i 0.813892 + 0.581016i \(0.197345\pi\)
−0.813892 + 0.581016i \(0.802655\pi\)
\(828\) 14.7669 + 8.13370i 0.513184 + 0.282666i
\(829\) 32.3867i 1.12484i 0.826853 + 0.562419i \(0.190129\pi\)
−0.826853 + 0.562419i \(0.809871\pi\)
\(830\) 4.41031 + 30.6744i 0.153084 + 1.06472i
\(831\) 15.2442 + 6.96180i 0.528816 + 0.241502i
\(832\) −6.15226 20.9527i −0.213291 0.726404i
\(833\) 12.8708 + 47.4870i 0.445948 + 1.64533i
\(834\) 39.6846 + 11.6524i 1.37416 + 0.403491i
\(835\) −7.76157 12.0772i −0.268600 0.417950i
\(836\) 54.1692 24.7382i 1.87348 0.855590i
\(837\) −4.44816 5.13345i −0.153751 0.177438i
\(838\) 10.4922 + 6.74291i 0.362446 + 0.232930i
\(839\) 0.0651207 0.452924i 0.00224821 0.0156367i −0.988666 0.150129i \(-0.952031\pi\)
0.990915 + 0.134492i \(0.0429403\pi\)
\(840\) −14.5874 + 5.26767i −0.503312 + 0.181752i
\(841\) 35.8732 + 23.0543i 1.23701 + 0.794976i
\(842\) 37.5625 32.5481i 1.29449 1.12168i
\(843\) 4.58083 + 10.0306i 0.157772 + 0.345473i
\(844\) −39.1667 + 25.1709i −1.34817 + 0.866419i
\(845\) 15.3570 + 4.50923i 0.528298 + 0.155122i
\(846\) 3.41743 + 2.96122i 0.117494 + 0.101809i
\(847\) 8.73095 8.55019i 0.299999 0.293788i
\(848\) −14.2214 6.49470i −0.488365 0.223029i
\(849\) 21.5429 3.09741i 0.739351 0.106303i
\(850\) −37.7424 −1.29455
\(851\) 21.2815 21.1261i 0.729519 0.724193i
\(852\) 24.0588i 0.824240i
\(853\) 37.5593 5.40022i 1.28601 0.184900i 0.534807 0.844974i \(-0.320384\pi\)
0.751200 + 0.660074i \(0.229475\pi\)
\(854\) −5.00791 82.0756i −0.171367 2.80857i
\(855\) 6.77495 1.98931i 0.231698 0.0680328i
\(856\) −10.5550 9.14599i −0.360764 0.312604i
\(857\) −7.05633 + 24.0317i −0.241040 + 0.820906i 0.746749 + 0.665106i \(0.231614\pi\)
−0.987789 + 0.155800i \(0.950205\pi\)
\(858\) −9.09281 14.1487i −0.310423 0.483028i
\(859\) 7.36834 3.36501i 0.251404 0.114813i −0.285727 0.958311i \(-0.592235\pi\)
0.537132 + 0.843498i \(0.319508\pi\)
\(860\) 42.6303 36.9393i 1.45368 1.25962i
\(861\) −7.65736 0.628231i −0.260962 0.0214100i
\(862\) 50.8083 + 7.30513i 1.73054 + 0.248814i
\(863\) −2.89242 + 20.1172i −0.0984591 + 0.684798i 0.879484 + 0.475928i \(0.157888\pi\)
−0.977943 + 0.208870i \(0.933021\pi\)
\(864\) 2.16339 3.36630i 0.0736000 0.114524i
\(865\) 18.3812 15.9274i 0.624981 0.541549i
\(866\) −3.19363 6.99307i −0.108524 0.237634i
\(867\) −17.5176 27.2579i −0.594928 0.925727i
\(868\) 12.7823 + 61.8679i 0.433860 + 2.09993i
\(869\) −26.2315 + 30.2727i −0.889842 + 1.02693i
\(870\) 9.22508 + 31.4177i 0.312760 + 1.06516i
\(871\) 1.27071 2.78247i 0.0430564 0.0942803i
\(872\) −12.3601 + 1.77712i −0.418566 + 0.0601807i
\(873\) 0.0352153 0.00119186
\(874\) 22.9818 + 42.4571i 0.777370 + 1.43613i
\(875\) 28.0297 14.9269i 0.947576 0.504622i
\(876\) −1.19387 8.30358i −0.0403373 0.280552i
\(877\) 18.6461 40.8293i 0.629635 1.37871i −0.278665 0.960389i \(-0.589892\pi\)
0.908300 0.418320i \(-0.137381\pi\)
\(878\) 20.3042 + 69.1496i 0.685233 + 2.33369i
\(879\) −14.1647 12.2738i −0.477764 0.413985i
\(880\) −2.43330 + 8.28705i −0.0820265 + 0.279356i
\(881\) −6.46998 + 4.15801i −0.217979 + 0.140087i −0.645074 0.764120i \(-0.723173\pi\)
0.427095 + 0.904207i \(0.359537\pi\)
\(882\) −16.2194 2.67941i −0.546137 0.0902203i
\(883\) −6.32819 7.30312i −0.212960 0.245769i 0.639212 0.769031i \(-0.279261\pi\)
−0.852172 + 0.523261i \(0.824715\pi\)
\(884\) 24.2059 37.6651i 0.814132 1.26681i
\(885\) −0.542441 + 3.77276i −0.0182340 + 0.126820i
\(886\) 1.60621 11.1714i 0.0539617 0.375312i
\(887\) −23.4957 + 36.5600i −0.788909 + 1.22757i 0.180852 + 0.983510i \(0.442114\pi\)
−0.969761 + 0.244056i \(0.921522\pi\)
\(888\) 14.5712 + 16.8161i 0.488979 + 0.564312i
\(889\) 17.1224 + 13.0993i 0.574267 + 0.439338i
\(890\) −31.3527 + 20.1491i −1.05094 + 0.675401i
\(891\) 1.11343 3.79198i 0.0373012 0.127036i
\(892\) 1.26596 + 1.09696i 0.0423873 + 0.0367288i
\(893\) 2.32528 + 7.91918i 0.0778126 + 0.265005i
\(894\) 5.49614 12.0349i 0.183818 0.402506i
\(895\) −5.00468 34.8083i −0.167288 1.16351i
\(896\) −47.4008 + 25.2428i −1.58355 + 0.843304i
\(897\) 6.97613 5.18249i 0.232926 0.173038i
\(898\) 70.6078 2.35621
\(899\) 56.9081 8.18215i 1.89799 0.272890i
\(900\) 3.33902 7.31142i 0.111301 0.243714i
\(901\) 23.3353 + 79.4728i 0.777412 + 2.64762i
\(902\) −17.6500 + 20.3692i −0.587680 + 0.678219i
\(903\) 25.2399 5.21473i 0.839931 0.173535i
\(904\) 26.1233 + 40.6486i 0.868847 + 1.35195i
\(905\) −14.7721 32.3464i −0.491042 1.07523i
\(906\) −5.67153 + 4.91441i −0.188424 + 0.163270i
\(907\) 1.55545 2.42033i 0.0516479 0.0803658i −0.814469 0.580207i \(-0.802972\pi\)
0.866117 + 0.499841i \(0.166608\pi\)
\(908\) 9.13430 63.5305i 0.303132 2.10833i
\(909\) −3.36638 0.484013i −0.111656 0.0160537i
\(910\) −1.51656 + 18.4850i −0.0502736 + 0.612773i
\(911\) 36.4363 31.5722i 1.20719 1.04604i 0.209519 0.977805i \(-0.432810\pi\)
0.997670 0.0682305i \(-0.0217353\pi\)
\(912\) −5.17294 + 2.36240i −0.171293 + 0.0782269i
\(913\) 17.1161 + 26.6332i 0.566460 + 0.881429i
\(914\) 20.6841 70.4434i 0.684168 2.33006i
\(915\) −16.4751 14.2758i −0.544651 0.471943i
\(916\) 52.2065 15.3292i 1.72495 0.506491i
\(917\) −40.4177 + 2.46612i −1.33471 + 0.0814384i
\(918\) 16.3385 2.34912i 0.539250 0.0775324i
\(919\) 1.21164i 0.0399683i −0.999800 0.0199841i \(-0.993638\pi\)
0.999800 0.0199841i \(-0.00636157\pi\)
\(920\) −27.4485 6.07647i −0.904950 0.200335i
\(921\) −26.5480 −0.874787
\(922\) 21.8625 3.14336i 0.720005 0.103521i
\(923\) −11.2813 5.15199i −0.371328 0.169580i
\(924\) −26.2612 + 25.7175i −0.863931 + 0.846045i
\(925\) −10.8049 9.36248i −0.355262 0.307836i
\(926\) −50.3258 14.7770i −1.65381 0.485602i
\(927\) 11.2901 7.25572i 0.370816 0.238309i
\(928\) 14.0700 + 30.8090i 0.461870 + 1.01135i
\(929\) −32.5247 + 28.1828i −1.06710 + 0.924647i −0.997338 0.0729164i \(-0.976769\pi\)
−0.0697618 + 0.997564i \(0.522224\pi\)
\(930\) 22.1058 + 14.2065i 0.724877 + 0.465850i
\(931\) −22.2606 20.1194i −0.729561 0.659386i
\(932\) −1.09428 + 7.61085i −0.0358442 + 0.249302i
\(933\) −1.09545 0.704005i −0.0358635 0.0230481i
\(934\) −50.0230 57.7296i −1.63680 1.88897i
\(935\) 41.6221 19.0082i 1.36119 0.621633i
\(936\) 3.48634 + 5.42485i 0.113955 + 0.177317i
\(937\) 29.5285 + 8.67034i 0.964652 + 0.283248i 0.725875 0.687827i \(-0.241435\pi\)
0.238778 + 0.971074i \(0.423253\pi\)
\(938\) −10.2250 2.33658i −0.333858 0.0762922i
\(939\) −5.00181 17.0346i −0.163228 0.555903i
\(940\) −10.1421 4.63174i −0.330799 0.151071i
\(941\) −6.53819 45.4741i −0.213139 1.48241i −0.762586 0.646886i \(-0.776071\pi\)
0.549447 0.835528i \(-0.314838\pi\)
\(942\) 1.62945i 0.0530902i
\(943\) −11.1183 8.38681i −0.362062 0.273112i
\(944\) 3.06980i 0.0999134i
\(945\) −3.51609 + 2.57517i −0.114378 + 0.0837702i
\(946\) 37.5583 82.2413i 1.22113 2.67389i
\(947\) 14.5309 4.26666i 0.472192 0.138648i −0.0369745 0.999316i \(-0.511772\pi\)
0.509166 + 0.860668i \(0.329954\pi\)
\(948\) 23.3324 26.9270i 0.757802 0.874550i
\(949\) −4.14925 1.21833i −0.134690 0.0395486i
\(950\) 19.3636 12.4443i 0.628240 0.403745i
\(951\) −13.9474 + 6.36955i −0.452274 + 0.206547i
\(952\) −61.7582 23.7733i −2.00159 0.770499i
\(953\) −7.23943 + 11.2648i −0.234508 + 0.364902i −0.938484 0.345322i \(-0.887770\pi\)
0.703976 + 0.710224i \(0.251406\pi\)
\(954\) −27.3935 3.93859i −0.886898 0.127517i
\(955\) 26.1015 + 3.75284i 0.844626 + 0.121439i
\(956\) −68.3637 43.9347i −2.21104 1.42095i
\(957\) 21.9058 + 25.2806i 0.708113 + 0.817206i
\(958\) −17.3230 37.9322i −0.559682 1.22553i
\(959\) −4.99684 2.79672i −0.161356 0.0903109i
\(960\) −5.59265 + 19.0468i −0.180502 + 0.614734i
\(961\) 9.91358 11.4409i 0.319793 0.369061i
\(962\) 25.5313 7.49668i 0.823163 0.241703i
\(963\) −3.56999 1.63036i −0.115041 0.0525376i
\(964\) 7.04289 + 48.9844i 0.226836 + 1.57768i
\(965\) 20.5814 0.662538
\(966\) −22.2425 19.8301i −0.715641 0.638023i
\(967\) 29.2626 0.941023 0.470512 0.882394i \(-0.344069\pi\)
0.470512 + 0.882394i \(0.344069\pi\)
\(968\) 2.33918 + 16.2693i 0.0751840 + 0.522916i
\(969\) 27.4055 + 12.5157i 0.880390 + 0.402061i
\(970\) −0.130714 + 0.0383810i −0.00419696 + 0.00123234i
\(971\) −6.41935 + 7.40833i −0.206007 + 0.237745i −0.849346 0.527837i \(-0.823003\pi\)
0.643339 + 0.765582i \(0.277549\pi\)
\(972\) −0.990372 + 3.37290i −0.0317662 + 0.108186i
\(973\) −40.6602 22.7574i −1.30351 0.729569i
\(974\) 6.51837 + 14.2732i 0.208862 + 0.457344i
\(975\) −2.71334 3.13136i −0.0868964 0.100284i
\(976\) 14.7702 + 9.49220i 0.472781 + 0.303838i
\(977\) 50.9820 + 7.33011i 1.63106 + 0.234511i 0.896181 0.443689i \(-0.146330\pi\)
0.734878 + 0.678200i \(0.237240\pi\)
\(978\) 6.15561 + 0.885043i 0.196835 + 0.0283005i
\(979\) −20.5842 + 32.0296i −0.657873 + 1.02367i
\(980\) 40.2336 4.92813i 1.28522 0.157423i
\(981\) −3.19191 + 1.45770i −0.101910 + 0.0465407i
\(982\) 30.1143 19.3533i 0.960985 0.617587i
\(983\) −43.2032 12.6856i −1.37797 0.404608i −0.492906 0.870082i \(-0.664065\pi\)
−0.885061 + 0.465475i \(0.845884\pi\)
\(984\) 6.76732 7.80990i 0.215734 0.248971i
\(985\) −4.99975 + 1.46806i −0.159305 + 0.0467762i
\(986\) −58.0393 + 127.088i −1.84835 + 4.04732i
\(987\) −3.01009 4.10992i −0.0958123 0.130820i
\(988\) 27.3051i 0.868689i
\(989\) 43.7118 + 16.4864i 1.38995 + 0.524236i
\(990\) 15.2887i 0.485908i
\(991\) −2.34694 16.3233i −0.0745530 0.518528i −0.992540 0.121918i \(-0.961096\pi\)
0.917987 0.396610i \(-0.129813\pi\)
\(992\) 24.7243 + 11.2912i 0.784996 + 0.358496i
\(993\) 4.15928 + 14.1652i 0.131991 + 0.449520i
\(994\) −9.47348 + 41.4564i −0.300481 + 1.31492i
\(995\) 10.8661 + 3.19059i 0.344480 + 0.101148i
\(996\) −15.2245 23.6897i −0.482405 0.750637i
\(997\) 36.0503 16.4636i 1.14173 0.521409i 0.247439 0.968903i \(-0.420411\pi\)
0.894286 + 0.447495i \(0.147684\pi\)
\(998\) 29.1986 + 33.6970i 0.924266 + 1.06666i
\(999\) 5.26010 + 3.38046i 0.166422 + 0.106953i
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 483.2.r.a.181.5 320
7.6 odd 2 inner 483.2.r.a.181.6 yes 320
23.15 odd 22 inner 483.2.r.a.475.6 yes 320
161.153 even 22 inner 483.2.r.a.475.5 yes 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.r.a.181.5 320 1.1 even 1 trivial
483.2.r.a.181.6 yes 320 7.6 odd 2 inner
483.2.r.a.475.5 yes 320 161.153 even 22 inner
483.2.r.a.475.6 yes 320 23.15 odd 22 inner