Properties

Label 483.2.bf.a.19.29
Level $483$
Weight $2$
Character 483.19
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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(10,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(66))
 
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("483.10");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), 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: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 19.29
Character \(\chi\) \(=\) 483.19
Dual form 483.2.bf.a.178.29

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(2.32510 + 0.222020i) q^{2} +(0.690079 - 0.723734i) q^{3} +(3.39295 + 0.653938i) q^{4} +(0.830318 - 0.428059i) q^{5} +(1.76519 - 1.52954i) q^{6} +(-0.521539 - 2.59384i) q^{7} +(3.26164 + 0.957705i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\) \(q+(2.32510 + 0.222020i) q^{2} +(0.690079 - 0.723734i) q^{3} +(3.39295 + 0.653938i) q^{4} +(0.830318 - 0.428059i) q^{5} +(1.76519 - 1.52954i) q^{6} +(-0.521539 - 2.59384i) q^{7} +(3.26164 + 0.957705i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(2.02561 - 0.810933i) q^{10} +(0.427449 + 4.47645i) q^{11} +(2.81468 - 2.00433i) q^{12} +(-4.42695 - 0.636500i) q^{13} +(-0.636747 - 6.14673i) q^{14} +(0.263184 - 0.896324i) q^{15} +(0.955269 + 0.382432i) q^{16} +(-0.782498 + 2.26088i) q^{17} +(0.111136 - 2.33303i) q^{18} +(0.188511 + 0.544667i) q^{19} +(3.09715 - 0.909407i) q^{20} +(-2.23715 - 1.41250i) q^{21} +10.5031i q^{22} +(4.29630 + 2.13116i) q^{23} +(2.94392 - 1.69967i) q^{24} +(-2.39409 + 3.36203i) q^{25} +(-10.1518 - 2.46280i) q^{26} +(-0.755750 - 0.654861i) q^{27} +(-0.0733486 - 9.14183i) q^{28} +(0.838820 + 0.968050i) q^{29} +(0.810933 - 2.02561i) q^{30} +(3.90007 - 0.946147i) q^{31} +(-3.90672 - 2.01405i) q^{32} +(3.53473 + 2.77974i) q^{33} +(-2.32135 + 5.08305i) q^{34} +(-1.54336 - 1.93046i) q^{35} +(0.491754 - 3.42023i) q^{36} +(1.78896 - 0.0852187i) q^{37} +(0.317381 + 1.30826i) q^{38} +(-3.51560 + 2.76470i) q^{39} +(3.11816 - 0.600975i) q^{40} +(2.83606 - 4.41300i) q^{41} +(-4.88801 - 3.78090i) q^{42} +(1.67307 + 5.69794i) q^{43} +(-1.47701 + 15.4679i) q^{44} +(-0.467082 - 0.809010i) q^{45} +(9.51617 + 5.90903i) q^{46} +(-4.41935 - 2.55151i) q^{47} +(0.935990 - 0.427452i) q^{48} +(-6.45599 + 2.70558i) q^{49} +(-6.31295 + 7.28553i) q^{50} +(1.09629 + 2.12651i) q^{51} +(-14.6042 - 5.05457i) q^{52} +(3.69599 + 4.69983i) q^{53} +(-1.61180 - 1.69041i) q^{54} +(2.27110 + 3.53390i) q^{55} +(0.783057 - 8.95966i) q^{56} +(0.524282 + 0.239432i) q^{57} +(1.73542 + 2.43705i) q^{58} +(-2.06531 - 5.15889i) q^{59} +(1.47911 - 2.86908i) q^{60} +(2.85515 - 2.72238i) q^{61} +(9.27813 - 1.33399i) q^{62} +(-2.56608 + 0.644368i) q^{63} +(-10.3676 - 6.66287i) q^{64} +(-3.94824 + 1.36650i) q^{65} +(7.60145 + 7.24797i) q^{66} +(-6.05708 - 4.31322i) q^{67} +(-4.13346 + 7.15936i) q^{68} +(4.50718 - 1.63871i) q^{69} +(-3.15987 - 4.83118i) q^{70} +(-6.42390 - 14.0664i) q^{71} +(0.801425 - 3.30352i) q^{72} +(2.01527 - 10.4562i) q^{73} +(4.17844 + 0.199044i) q^{74} +(0.781104 + 4.05275i) q^{75} +(0.283431 + 1.97131i) q^{76} +(11.3882 - 3.44338i) q^{77} +(-8.78796 + 5.64768i) q^{78} +(-3.21135 + 4.08356i) q^{79} +(0.956881 - 0.0913710i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(7.57392 - 9.63102i) q^{82} +(-2.13146 + 1.36981i) q^{83} +(-6.66687 - 6.25550i) q^{84} +(0.318067 + 2.21220i) q^{85} +(2.62499 + 13.6197i) q^{86} +(1.27946 + 0.0609483i) q^{87} +(-2.89293 + 15.0100i) q^{88} +(-1.81682 + 7.48904i) q^{89} +(-0.906397 - 1.98473i) q^{90} +(0.657853 + 11.8148i) q^{91} +(13.1835 + 10.0404i) q^{92} +(2.00660 - 3.47553i) q^{93} +(-9.70895 - 6.91371i) q^{94} +(0.389674 + 0.371553i) q^{95} +(-4.15358 + 1.43757i) q^{96} +(-4.69688 - 3.01850i) q^{97} +(-15.6115 + 4.85738i) q^{98} +(4.45104 - 0.639963i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.32510 + 0.222020i 1.64410 + 0.156992i 0.875658 0.482932i \(-0.160428\pi\)
0.768438 + 0.639924i \(0.221034\pi\)
\(3\) 0.690079 0.723734i 0.398417 0.417848i
\(4\) 3.39295 + 0.653938i 1.69648 + 0.326969i
\(5\) 0.830318 0.428059i 0.371330 0.191434i −0.262453 0.964945i \(-0.584532\pi\)
0.633783 + 0.773511i \(0.281501\pi\)
\(6\) 1.76519 1.52954i 0.720635 0.624434i
\(7\) −0.521539 2.59384i −0.197123 0.980379i
\(8\) 3.26164 + 0.957705i 1.15317 + 0.338600i
\(9\) −0.0475819 0.998867i −0.0158606 0.332956i
\(10\) 2.02561 0.810933i 0.640555 0.256440i
\(11\) 0.427449 + 4.47645i 0.128881 + 1.34970i 0.796248 + 0.604971i \(0.206815\pi\)
−0.667367 + 0.744729i \(0.732579\pi\)
\(12\) 2.81468 2.00433i 0.812529 0.578599i
\(13\) −4.42695 0.636500i −1.22782 0.176533i −0.502272 0.864709i \(-0.667503\pi\)
−0.725544 + 0.688176i \(0.758412\pi\)
\(14\) −0.636747 6.14673i −0.170178 1.64278i
\(15\) 0.263184 0.896324i 0.0679539 0.231430i
\(16\) 0.955269 + 0.382432i 0.238817 + 0.0956080i
\(17\) −0.782498 + 2.26088i −0.189784 + 0.548344i −0.999246 0.0388280i \(-0.987638\pi\)
0.809462 + 0.587172i \(0.199759\pi\)
\(18\) 0.111136 2.33303i 0.0261950 0.549901i
\(19\) 0.188511 + 0.544667i 0.0432474 + 0.124955i 0.964557 0.263875i \(-0.0850006\pi\)
−0.921310 + 0.388830i \(0.872879\pi\)
\(20\) 3.09715 0.909407i 0.692545 0.203350i
\(21\) −2.23715 1.41250i −0.488187 0.308232i
\(22\) 10.5031i 2.23927i
\(23\) 4.29630 + 2.13116i 0.895840 + 0.444377i
\(24\) 2.94392 1.69967i 0.600924 0.346944i
\(25\) −2.39409 + 3.36203i −0.478818 + 0.672406i
\(26\) −10.1518 2.46280i −1.99093 0.482995i
\(27\) −0.755750 0.654861i −0.145444 0.126028i
\(28\) −0.0733486 9.14183i −0.0138616 1.72764i
\(29\) 0.838820 + 0.968050i 0.155765 + 0.179762i 0.828268 0.560332i \(-0.189326\pi\)
−0.672503 + 0.740094i \(0.734781\pi\)
\(30\) 0.810933 2.02561i 0.148055 0.369825i
\(31\) 3.90007 0.946147i 0.700474 0.169933i 0.130321 0.991472i \(-0.458399\pi\)
0.570153 + 0.821539i \(0.306884\pi\)
\(32\) −3.90672 2.01405i −0.690617 0.356038i
\(33\) 3.53473 + 2.77974i 0.615318 + 0.483891i
\(34\) −2.32135 + 5.08305i −0.398108 + 0.871736i
\(35\) −1.54336 1.93046i −0.260875 0.326307i
\(36\) 0.491754 3.42023i 0.0819591 0.570038i
\(37\) 1.78896 0.0852187i 0.294103 0.0140099i 0.0999882 0.994989i \(-0.468120\pi\)
0.194115 + 0.980979i \(0.437816\pi\)
\(38\) 0.317381 + 1.30826i 0.0514860 + 0.212228i
\(39\) −3.51560 + 2.76470i −0.562947 + 0.442707i
\(40\) 3.11816 0.600975i 0.493024 0.0950225i
\(41\) 2.83606 4.41300i 0.442919 0.689195i −0.545978 0.837799i \(-0.683842\pi\)
0.988897 + 0.148605i \(0.0474782\pi\)
\(42\) −4.88801 3.78090i −0.754236 0.583405i
\(43\) 1.67307 + 5.69794i 0.255140 + 0.868927i 0.983063 + 0.183268i \(0.0586677\pi\)
−0.727923 + 0.685659i \(0.759514\pi\)
\(44\) −1.47701 + 15.4679i −0.222667 + 2.33187i
\(45\) −0.467082 0.809010i −0.0696285 0.120600i
\(46\) 9.51617 + 5.90903i 1.40308 + 0.871239i
\(47\) −4.41935 2.55151i −0.644628 0.372176i 0.141767 0.989900i \(-0.454722\pi\)
−0.786395 + 0.617724i \(0.788055\pi\)
\(48\) 0.935990 0.427452i 0.135099 0.0616974i
\(49\) −6.45599 + 2.70558i −0.922285 + 0.386511i
\(50\) −6.31295 + 7.28553i −0.892786 + 1.03033i
\(51\) 1.09629 + 2.12651i 0.153511 + 0.297770i
\(52\) −14.6042 5.05457i −2.02524 0.700943i
\(53\) 3.69599 + 4.69983i 0.507683 + 0.645572i 0.970562 0.240850i \(-0.0774260\pi\)
−0.462879 + 0.886421i \(0.653184\pi\)
\(54\) −1.61180 1.69041i −0.219339 0.230036i
\(55\) 2.27110 + 3.53390i 0.306235 + 0.476511i
\(56\) 0.783057 8.95966i 0.104640 1.19728i
\(57\) 0.524282 + 0.239432i 0.0694428 + 0.0317135i
\(58\) 1.73542 + 2.43705i 0.227871 + 0.320001i
\(59\) −2.06531 5.15889i −0.268880 0.671630i 0.731063 0.682310i \(-0.239025\pi\)
−0.999943 + 0.0106801i \(0.996600\pi\)
\(60\) 1.47911 2.86908i 0.190953 0.370396i
\(61\) 2.85515 2.72238i 0.365564 0.348565i −0.484926 0.874555i \(-0.661154\pi\)
0.850491 + 0.525990i \(0.176305\pi\)
\(62\) 9.27813 1.33399i 1.17832 0.169417i
\(63\) −2.56608 + 0.644368i −0.323296 + 0.0811828i
\(64\) −10.3676 6.66287i −1.29595 0.832859i
\(65\) −3.94824 + 1.36650i −0.489719 + 0.169493i
\(66\) 7.60145 + 7.24797i 0.935674 + 0.892164i
\(67\) −6.05708 4.31322i −0.739990 0.526944i 0.146772 0.989170i \(-0.453111\pi\)
−0.886762 + 0.462226i \(0.847051\pi\)
\(68\) −4.13346 + 7.15936i −0.501255 + 0.868200i
\(69\) 4.50718 1.63871i 0.542600 0.197277i
\(70\) −3.15987 4.83118i −0.377676 0.577436i
\(71\) −6.42390 14.0664i −0.762377 1.66937i −0.742753 0.669566i \(-0.766480\pi\)
−0.0196244 0.999807i \(-0.506247\pi\)
\(72\) 0.801425 3.30352i 0.0944489 0.389324i
\(73\) 2.01527 10.4562i 0.235870 1.22381i −0.650022 0.759915i \(-0.725240\pi\)
0.885892 0.463892i \(-0.153548\pi\)
\(74\) 4.17844 + 0.199044i 0.485734 + 0.0231383i
\(75\) 0.781104 + 4.05275i 0.0901941 + 0.467971i
\(76\) 0.283431 + 1.97131i 0.0325118 + 0.226124i
\(77\) 11.3882 3.44338i 1.29781 0.392409i
\(78\) −8.78796 + 5.64768i −0.995041 + 0.639474i
\(79\) −3.21135 + 4.08356i −0.361305 + 0.459437i −0.932390 0.361454i \(-0.882280\pi\)
0.571085 + 0.820891i \(0.306523\pi\)
\(80\) 0.956881 0.0913710i 0.106982 0.0102156i
\(81\) −0.995472 + 0.0950560i −0.110608 + 0.0105618i
\(82\) 7.57392 9.63102i 0.836399 1.06357i
\(83\) −2.13146 + 1.36981i −0.233958 + 0.150356i −0.652368 0.757903i \(-0.726224\pi\)
0.418409 + 0.908259i \(0.362588\pi\)
\(84\) −6.66687 6.25550i −0.727415 0.682531i
\(85\) 0.318067 + 2.21220i 0.0344992 + 0.239947i
\(86\) 2.62499 + 13.6197i 0.283060 + 1.46866i
\(87\) 1.27946 + 0.0609483i 0.137173 + 0.00653435i
\(88\) −2.89293 + 15.0100i −0.308387 + 1.60007i
\(89\) −1.81682 + 7.48904i −0.192583 + 0.793837i 0.790768 + 0.612117i \(0.209682\pi\)
−0.983350 + 0.181720i \(0.941833\pi\)
\(90\) −0.906397 1.98473i −0.0955426 0.209209i
\(91\) 0.657853 + 11.8148i 0.0689617 + 1.23852i
\(92\) 13.1835 + 10.0404i 1.37447 + 1.04679i
\(93\) 2.00660 3.47553i 0.208075 0.360396i
\(94\) −9.70895 6.91371i −1.00140 0.713095i
\(95\) 0.389674 + 0.371553i 0.0399797 + 0.0381206i
\(96\) −4.15358 + 1.43757i −0.423923 + 0.146721i
\(97\) −4.69688 3.01850i −0.476896 0.306482i 0.280021 0.959994i \(-0.409659\pi\)
−0.756916 + 0.653512i \(0.773295\pi\)
\(98\) −15.6115 + 4.85738i −1.57700 + 0.490670i
\(99\) 4.45104 0.639963i 0.447346 0.0643187i
\(100\) −10.3216 + 9.84163i −1.03216 + 0.984163i
\(101\) 7.04521 13.6658i 0.701025 1.35980i −0.221996 0.975048i \(-0.571257\pi\)
0.923021 0.384750i \(-0.125713\pi\)
\(102\) 2.07686 + 5.18775i 0.205640 + 0.513663i
\(103\) −5.97607 8.39222i −0.588840 0.826910i 0.407427 0.913238i \(-0.366426\pi\)
−0.996267 + 0.0863277i \(0.972487\pi\)
\(104\) −13.8296 6.31575i −1.35610 0.619311i
\(105\) −2.46218 0.215190i −0.240284 0.0210004i
\(106\) 7.55010 + 11.7482i 0.733331 + 1.14108i
\(107\) −5.17368 5.42600i −0.500158 0.524551i 0.424460 0.905447i \(-0.360464\pi\)
−0.924618 + 0.380896i \(0.875616\pi\)
\(108\) −2.13599 2.71613i −0.205535 0.261359i
\(109\) 18.3750 + 6.35966i 1.76001 + 0.609145i 0.999206 0.0398400i \(-0.0126848\pi\)
0.760802 + 0.648985i \(0.224806\pi\)
\(110\) 4.49595 + 8.72092i 0.428672 + 0.831507i
\(111\) 1.17285 1.35354i 0.111322 0.128472i
\(112\) 0.493757 2.67727i 0.0466556 0.252978i
\(113\) −0.0731653 + 0.0334135i −0.00688281 + 0.00314328i −0.418853 0.908054i \(-0.637568\pi\)
0.411971 + 0.911197i \(0.364841\pi\)
\(114\) 1.16585 + 0.673104i 0.109192 + 0.0630420i
\(115\) 4.47955 0.0695271i 0.417720 0.00648344i
\(116\) 2.21303 + 3.83309i 0.205475 + 0.355893i
\(117\) −0.425136 + 4.45223i −0.0393038 + 0.411608i
\(118\) −3.65667 12.4535i −0.336624 1.14644i
\(119\) 6.27246 + 0.850536i 0.574996 + 0.0779685i
\(120\) 1.71683 2.67144i 0.156724 0.243868i
\(121\) −9.05466 + 1.74514i −0.823151 + 0.158649i
\(122\) 7.24294 5.69591i 0.655745 0.515683i
\(123\) −1.23673 5.09787i −0.111512 0.459660i
\(124\) 13.8515 0.659828i 1.24390 0.0592543i
\(125\) −1.21344 + 8.43964i −0.108533 + 0.754865i
\(126\) −6.10947 + 0.928500i −0.544275 + 0.0827173i
\(127\) −7.97297 + 17.4584i −0.707486 + 1.54918i 0.123165 + 0.992386i \(0.460695\pi\)
−0.830652 + 0.556793i \(0.812032\pi\)
\(128\) −15.7166 12.3597i −1.38916 1.09245i
\(129\) 5.27834 + 2.72117i 0.464732 + 0.239586i
\(130\) −9.48345 + 2.30066i −0.831754 + 0.201781i
\(131\) −5.61492 + 14.0254i −0.490578 + 1.22540i 0.452181 + 0.891926i \(0.350646\pi\)
−0.942758 + 0.333477i \(0.891778\pi\)
\(132\) 10.1754 + 11.7430i 0.885655 + 1.02210i
\(133\) 1.31446 0.773033i 0.113978 0.0670305i
\(134\) −13.1257 11.3735i −1.13389 0.982520i
\(135\) −0.907831 0.220237i −0.0781337 0.0189550i
\(136\) −4.71749 + 6.62478i −0.404521 + 0.568071i
\(137\) 19.9767 11.5335i 1.70672 0.985377i 0.768169 0.640247i \(-0.221168\pi\)
0.938555 0.345130i \(-0.112165\pi\)
\(138\) 10.8435 2.80948i 0.923058 0.239159i
\(139\) 19.4312i 1.64813i 0.566495 + 0.824065i \(0.308299\pi\)
−0.566495 + 0.824065i \(0.691701\pi\)
\(140\) −3.97414 7.55923i −0.335876 0.638871i
\(141\) −4.89631 + 1.43769i −0.412344 + 0.121075i
\(142\) −11.8132 34.1320i −0.991343 2.86430i
\(143\) 0.956962 20.0891i 0.0800252 1.67994i
\(144\) 0.336545 0.972384i 0.0280454 0.0810320i
\(145\) 1.11087 + 0.444725i 0.0922527 + 0.0369324i
\(146\) 7.00721 23.8644i 0.579920 1.97503i
\(147\) −2.49703 + 6.53948i −0.205951 + 0.539368i
\(148\) 6.12559 + 0.880727i 0.503520 + 0.0723953i
\(149\) 9.01701 6.42098i 0.738702 0.526027i −0.147650 0.989040i \(-0.547171\pi\)
0.886352 + 0.463012i \(0.153231\pi\)
\(150\) 0.916353 + 9.59649i 0.0748199 + 0.783550i
\(151\) 2.78523 1.11504i 0.226659 0.0907405i −0.255553 0.966795i \(-0.582258\pi\)
0.482212 + 0.876054i \(0.339833\pi\)
\(152\) 0.0932258 + 1.95705i 0.00756161 + 0.158738i
\(153\) 2.29555 + 0.674035i 0.185584 + 0.0544925i
\(154\) 27.2434 5.47778i 2.19533 0.441412i
\(155\) 2.83329 2.45506i 0.227576 0.197195i
\(156\) −13.7362 + 7.08152i −1.09978 + 0.566975i
\(157\) −14.1632 2.72973i −1.13035 0.217857i −0.410413 0.911900i \(-0.634616\pi\)
−0.719934 + 0.694043i \(0.755828\pi\)
\(158\) −8.37335 + 8.78172i −0.666148 + 0.698636i
\(159\) 5.95196 + 0.568343i 0.472021 + 0.0450725i
\(160\) −4.10595 −0.324604
\(161\) 3.28719 12.2554i 0.259067 0.965859i
\(162\) −2.33568 −0.183508
\(163\) −11.5773 1.10550i −0.906805 0.0865894i −0.368778 0.929517i \(-0.620224\pi\)
−0.538026 + 0.842928i \(0.680830\pi\)
\(164\) 12.5085 13.1185i 0.976747 1.02438i
\(165\) 4.12484 + 0.794999i 0.321119 + 0.0618906i
\(166\) −5.25999 + 2.71171i −0.408255 + 0.210470i
\(167\) 16.9617 14.6974i 1.31253 1.13732i 0.331505 0.943453i \(-0.392443\pi\)
0.981028 0.193864i \(-0.0621020\pi\)
\(168\) −5.94404 6.74960i −0.458593 0.520743i
\(169\) 6.71938 + 1.97299i 0.516876 + 0.151768i
\(170\) 0.248384 + 5.21422i 0.0190502 + 0.399913i
\(171\) 0.535081 0.214214i 0.0409187 0.0163814i
\(172\) 1.95053 + 20.4269i 0.148727 + 1.55754i
\(173\) −7.78506 + 5.54371i −0.591887 + 0.421481i −0.836364 0.548174i \(-0.815323\pi\)
0.244477 + 0.969655i \(0.421384\pi\)
\(174\) 2.96135 + 0.425778i 0.224499 + 0.0322782i
\(175\) 9.96917 + 4.45645i 0.753599 + 0.336876i
\(176\) −1.30361 + 4.43968i −0.0982632 + 0.334654i
\(177\) −5.15889 2.06531i −0.387766 0.155238i
\(178\) −5.88702 + 17.0094i −0.441251 + 1.27491i
\(179\) 0.185906 3.90265i 0.0138953 0.291698i −0.981214 0.192921i \(-0.938204\pi\)
0.995110 0.0987770i \(-0.0314930\pi\)
\(180\) −1.05575 3.05038i −0.0786906 0.227362i
\(181\) 17.3019 5.08031i 1.28604 0.377616i 0.433917 0.900953i \(-0.357131\pi\)
0.852126 + 0.523336i \(0.175313\pi\)
\(182\) −1.09354 + 27.6166i −0.0810588 + 2.04708i
\(183\) 3.94502i 0.291625i
\(184\) 11.9720 + 11.0657i 0.882585 + 0.815772i
\(185\) 1.44893 0.836539i 0.106527 0.0615035i
\(186\) 5.43719 7.63546i 0.398674 0.559859i
\(187\) −10.4552 2.53640i −0.764559 0.185480i
\(188\) −13.3261 11.5471i −0.971906 0.842162i
\(189\) −1.30445 + 2.30183i −0.0948848 + 0.167433i
\(190\) 0.823540 + 0.950415i 0.0597458 + 0.0689504i
\(191\) −2.53257 + 6.32605i −0.183250 + 0.457737i −0.991340 0.131323i \(-0.958078\pi\)
0.808089 + 0.589060i \(0.200502\pi\)
\(192\) −11.9766 + 2.90550i −0.864338 + 0.209686i
\(193\) 18.9705 + 9.78000i 1.36553 + 0.703980i 0.976150 0.217097i \(-0.0696590\pi\)
0.389380 + 0.921077i \(0.372689\pi\)
\(194\) −10.2506 8.06113i −0.735947 0.578755i
\(195\) −1.73562 + 3.80047i −0.124290 + 0.272157i
\(196\) −23.6742 + 4.95808i −1.69101 + 0.354148i
\(197\) 3.78919 26.3544i 0.269969 1.87767i −0.178595 0.983923i \(-0.557155\pi\)
0.448564 0.893751i \(-0.351936\pi\)
\(198\) 10.4912 0.499758i 0.745578 0.0355162i
\(199\) 4.76171 + 19.6280i 0.337549 + 1.39140i 0.847319 + 0.531084i \(0.178215\pi\)
−0.509770 + 0.860311i \(0.670270\pi\)
\(200\) −11.0285 + 8.67291i −0.779833 + 0.613268i
\(201\) −7.30149 + 1.40725i −0.515007 + 0.0992595i
\(202\) 19.4149 30.2102i 1.36603 2.12558i
\(203\) 2.07349 2.68064i 0.145530 0.188144i
\(204\) 2.32906 + 7.93204i 0.163067 + 0.555354i
\(205\) 0.465811 4.87820i 0.0325337 0.340708i
\(206\) −12.0317 20.8396i −0.838291 1.45196i
\(207\) 1.92432 4.39283i 0.133749 0.305323i
\(208\) −3.98551 2.30104i −0.276346 0.159548i
\(209\) −2.35760 + 1.07668i −0.163078 + 0.0744754i
\(210\) −5.67705 1.04699i −0.391753 0.0722493i
\(211\) 6.87315 7.93204i 0.473167 0.546064i −0.468123 0.883663i \(-0.655069\pi\)
0.941290 + 0.337599i \(0.109615\pi\)
\(212\) 9.46692 + 18.3633i 0.650191 + 1.26119i
\(213\) −14.6133 5.05772i −1.00129 0.346549i
\(214\) −10.8246 13.7647i −0.739958 0.940933i
\(215\) 3.82823 + 4.01493i 0.261083 + 0.273816i
\(216\) −1.83782 2.85971i −0.125048 0.194578i
\(217\) −4.48819 9.62270i −0.304678 0.653232i
\(218\) 41.3118 + 18.8665i 2.79799 + 1.27780i
\(219\) −6.17682 8.67414i −0.417391 0.586144i
\(220\) 5.39479 + 13.4755i 0.363716 + 0.908520i
\(221\) 4.90313 9.51075i 0.329820 0.639762i
\(222\) 3.02751 2.88672i 0.203193 0.193744i
\(223\) −12.2359 + 1.75926i −0.819379 + 0.117809i −0.539242 0.842151i \(-0.681289\pi\)
−0.280137 + 0.959960i \(0.590380\pi\)
\(224\) −3.18662 + 11.1838i −0.212915 + 0.747249i
\(225\) 3.47214 + 2.23141i 0.231476 + 0.148760i
\(226\) −0.177535 + 0.0614456i −0.0118095 + 0.00408730i
\(227\) 5.41829 + 5.16633i 0.359625 + 0.342901i 0.848254 0.529590i \(-0.177654\pi\)
−0.488629 + 0.872492i \(0.662503\pi\)
\(228\) 1.62229 + 1.15523i 0.107439 + 0.0765069i
\(229\) −8.42316 + 14.5893i −0.556618 + 0.964091i 0.441158 + 0.897430i \(0.354568\pi\)
−0.997776 + 0.0666611i \(0.978765\pi\)
\(230\) 10.4309 + 0.832895i 0.687791 + 0.0549194i
\(231\) 5.36670 10.6183i 0.353103 0.698631i
\(232\) 1.80883 + 3.96078i 0.118755 + 0.260038i
\(233\) 0.210150 0.866249i 0.0137674 0.0567499i −0.964514 0.264033i \(-0.914947\pi\)
0.978281 + 0.207283i \(0.0664622\pi\)
\(234\) −1.97697 + 10.2575i −0.129239 + 0.670553i
\(235\) −4.76166 0.226826i −0.310616 0.0147965i
\(236\) −3.63390 18.8545i −0.236547 1.22732i
\(237\) 0.739329 + 5.14214i 0.0480245 + 0.334018i
\(238\) 14.3953 + 3.37020i 0.933108 + 0.218458i
\(239\) 10.8573 6.97756i 0.702300 0.451341i −0.140139 0.990132i \(-0.544755\pi\)
0.842440 + 0.538791i \(0.181119\pi\)
\(240\) 0.594195 0.755580i 0.0383551 0.0487725i
\(241\) −23.8245 + 2.27497i −1.53467 + 0.146543i −0.827891 0.560889i \(-0.810460\pi\)
−0.706781 + 0.707432i \(0.749854\pi\)
\(242\) −21.4405 + 2.04732i −1.37825 + 0.131606i
\(243\) −0.618159 + 0.786053i −0.0396549 + 0.0504253i
\(244\) 11.4677 7.36981i 0.734141 0.471804i
\(245\) −4.20238 + 5.01003i −0.268480 + 0.320079i
\(246\) −1.74369 12.1277i −0.111174 0.773232i
\(247\) −0.487850 2.53121i −0.0310411 0.161057i
\(248\) 13.6268 + 0.649124i 0.865301 + 0.0412194i
\(249\) −0.479501 + 2.48789i −0.0303871 + 0.157663i
\(250\) −4.69514 + 19.3536i −0.296947 + 1.22403i
\(251\) 5.81857 + 12.7409i 0.367265 + 0.804198i 0.999566 + 0.0294746i \(0.00938342\pi\)
−0.632301 + 0.774723i \(0.717889\pi\)
\(252\) −9.12798 + 0.508251i −0.575009 + 0.0320168i
\(253\) −7.70358 + 20.1431i −0.484320 + 1.26639i
\(254\) −22.4141 + 38.8223i −1.40638 + 2.43593i
\(255\) 1.82054 + 1.29640i 0.114007 + 0.0811837i
\(256\) −15.9600 15.2178i −0.997498 0.951112i
\(257\) 3.75243 1.29873i 0.234070 0.0810126i −0.207515 0.978232i \(-0.566538\pi\)
0.441585 + 0.897219i \(0.354416\pi\)
\(258\) 11.6685 + 7.49891i 0.726451 + 0.466862i
\(259\) −1.15406 4.59583i −0.0717096 0.285571i
\(260\) −14.2898 + 2.05456i −0.886216 + 0.127419i
\(261\) 0.927041 0.883932i 0.0573824 0.0547140i
\(262\) −16.1692 + 31.3638i −0.998935 + 1.93766i
\(263\) −0.473813 1.18353i −0.0292166 0.0729795i 0.913042 0.407865i \(-0.133727\pi\)
−0.942259 + 0.334886i \(0.891302\pi\)
\(264\) 8.86686 + 12.4518i 0.545718 + 0.766353i
\(265\) 5.08065 + 2.32026i 0.312102 + 0.142532i
\(266\) 3.22789 1.50554i 0.197915 0.0923108i
\(267\) 4.16632 + 6.48293i 0.254975 + 0.396749i
\(268\) −17.7308 18.5955i −1.08308 1.13590i
\(269\) 16.8002 + 21.3632i 1.02433 + 1.30254i 0.952310 + 0.305133i \(0.0987011\pi\)
0.0720167 + 0.997403i \(0.477056\pi\)
\(270\) −2.06190 0.713632i −0.125483 0.0434303i
\(271\) −2.19579 4.25923i −0.133385 0.258730i 0.812679 0.582712i \(-0.198008\pi\)
−0.946063 + 0.323982i \(0.894978\pi\)
\(272\) −1.61213 + 1.86050i −0.0977497 + 0.112809i
\(273\) 9.00472 + 7.67701i 0.544990 + 0.464634i
\(274\) 49.0085 22.3815i 2.96071 1.35211i
\(275\) −16.0733 9.27993i −0.969257 0.559601i
\(276\) 16.3643 2.61264i 0.985012 0.157263i
\(277\) −1.33452 2.31145i −0.0801835 0.138882i 0.823145 0.567831i \(-0.192217\pi\)
−0.903329 + 0.428949i \(0.858884\pi\)
\(278\) −4.31412 + 45.1795i −0.258744 + 2.70968i
\(279\) −1.13065 3.85064i −0.0676902 0.230532i
\(280\) −3.18507 7.77456i −0.190345 0.464619i
\(281\) −2.49296 + 3.87912i −0.148717 + 0.231409i −0.907617 0.419798i \(-0.862101\pi\)
0.758900 + 0.651207i \(0.225737\pi\)
\(282\) −11.7036 + 2.25569i −0.696941 + 0.134324i
\(283\) 5.22012 4.10515i 0.310304 0.244026i −0.450846 0.892602i \(-0.648878\pi\)
0.761150 + 0.648576i \(0.224635\pi\)
\(284\) −12.5975 51.9274i −0.747522 3.08133i
\(285\) 0.537812 0.0256191i 0.0318572 0.00151755i
\(286\) 6.68523 46.4968i 0.395306 2.74941i
\(287\) −12.9257 5.05474i −0.762982 0.298372i
\(288\) −1.82588 + 3.99813i −0.107591 + 0.235592i
\(289\) 8.86363 + 6.97043i 0.521390 + 0.410026i
\(290\) 2.48415 + 1.28067i 0.145874 + 0.0752034i
\(291\) −5.42581 + 1.31629i −0.318067 + 0.0771621i
\(292\) 13.6754 34.1596i 0.800295 1.99904i
\(293\) 19.3263 + 22.3038i 1.12906 + 1.30300i 0.947549 + 0.319610i \(0.103552\pi\)
0.181507 + 0.983390i \(0.441903\pi\)
\(294\) −7.25775 + 14.6506i −0.423280 + 0.854439i
\(295\) −3.92317 3.39945i −0.228416 0.197923i
\(296\) 5.91657 + 1.43534i 0.343893 + 0.0834277i
\(297\) 2.60841 3.66299i 0.151355 0.212548i
\(298\) 22.3911 12.9275i 1.29708 0.748869i
\(299\) −17.6630 12.1691i −1.02148 0.703759i
\(300\) 14.2616i 0.823393i
\(301\) 13.9070 7.31136i 0.801584 0.421420i
\(302\) 6.72351 1.97420i 0.386894 0.113602i
\(303\) −5.02865 14.5293i −0.288889 0.834689i
\(304\) −0.0282193 + 0.592397i −0.00161849 + 0.0339763i
\(305\) 1.20534 3.48261i 0.0690178 0.199414i
\(306\) 5.18775 + 2.07686i 0.296564 + 0.118726i
\(307\) 2.35164 8.00894i 0.134215 0.457094i −0.864769 0.502171i \(-0.832535\pi\)
0.998984 + 0.0450764i \(0.0143531\pi\)
\(308\) 40.8916 4.23601i 2.33001 0.241369i
\(309\) −10.1977 1.46621i −0.580127 0.0834097i
\(310\) 7.13277 5.07923i 0.405114 0.288481i
\(311\) 1.27975 + 13.4021i 0.0725678 + 0.759965i 0.956380 + 0.292124i \(0.0943620\pi\)
−0.883813 + 0.467841i \(0.845032\pi\)
\(312\) −14.1144 + 5.65056i −0.799072 + 0.319900i
\(313\) −0.581053 12.1978i −0.0328430 0.689460i −0.953917 0.300072i \(-0.902989\pi\)
0.921074 0.389389i \(-0.127314\pi\)
\(314\) −32.3249 9.49144i −1.82420 0.535633i
\(315\) −1.85484 + 1.63347i −0.104508 + 0.0920353i
\(316\) −13.5664 + 11.7553i −0.763167 + 0.661288i
\(317\) −11.2723 + 5.81126i −0.633114 + 0.326393i −0.744737 0.667358i \(-0.767425\pi\)
0.111623 + 0.993751i \(0.464395\pi\)
\(318\) 13.7127 + 2.64291i 0.768972 + 0.148207i
\(319\) −3.97487 + 4.16873i −0.222550 + 0.233404i
\(320\) −11.4605 1.09435i −0.640663 0.0611759i
\(321\) −7.49722 −0.418454
\(322\) 10.3640 27.7652i 0.577564 1.54729i
\(323\) −1.37894 −0.0767261
\(324\) −3.43975 0.328456i −0.191097 0.0182476i
\(325\) 12.7385 13.3597i 0.706603 0.741064i
\(326\) −26.6730 5.14080i −1.47728 0.284723i
\(327\) 17.2829 8.90996i 0.955747 0.492722i
\(328\) 13.4766 11.6775i 0.744120 0.644784i
\(329\) −4.31334 + 12.7938i −0.237802 + 0.705344i
\(330\) 9.41418 + 2.76425i 0.518234 + 0.152167i
\(331\) 0.286771 + 6.02006i 0.0157624 + 0.330893i 0.992951 + 0.118522i \(0.0378155\pi\)
−0.977189 + 0.212371i \(0.931881\pi\)
\(332\) −8.12772 + 3.25385i −0.446067 + 0.178578i
\(333\) −0.170244 1.78288i −0.00932933 0.0977012i
\(334\) 42.7008 30.4071i 2.33648 1.66380i
\(335\) −6.87561 0.988564i −0.375655 0.0540110i
\(336\) −1.59690 2.20487i −0.0871179 0.120286i
\(337\) 9.54894 32.5207i 0.520164 1.77152i −0.108781 0.994066i \(-0.534695\pi\)
0.628945 0.777450i \(-0.283487\pi\)
\(338\) 15.1852 + 6.07924i 0.825967 + 0.330667i
\(339\) −0.0263074 + 0.0760102i −0.00142882 + 0.00412831i
\(340\) −0.367459 + 7.71390i −0.0199282 + 0.418345i
\(341\) 5.90246 + 17.0540i 0.319636 + 0.923528i
\(342\) 1.29168 0.379271i 0.0698459 0.0205086i
\(343\) 10.3849 + 15.3347i 0.560731 + 0.827998i
\(344\) 20.1870i 1.08841i
\(345\) 3.04093 3.28998i 0.163718 0.177127i
\(346\) −19.3319 + 11.1613i −1.03929 + 0.600033i
\(347\) −11.3804 + 15.9815i −0.610932 + 0.857934i −0.997941 0.0641421i \(-0.979569\pi\)
0.387009 + 0.922076i \(0.373508\pi\)
\(348\) 4.30130 + 1.04348i 0.230574 + 0.0559366i
\(349\) 9.10956 + 7.89348i 0.487624 + 0.422528i 0.863659 0.504077i \(-0.168167\pi\)
−0.376035 + 0.926605i \(0.622713\pi\)
\(350\) 22.1899 + 12.5751i 1.18610 + 0.672166i
\(351\) 2.92885 + 3.38007i 0.156330 + 0.180415i
\(352\) 7.34588 18.3491i 0.391537 0.978012i
\(353\) −3.18488 + 0.772645i −0.169514 + 0.0411237i −0.319618 0.947547i \(-0.603554\pi\)
0.150103 + 0.988670i \(0.452039\pi\)
\(354\) −11.5364 5.94743i −0.613153 0.316102i
\(355\) −11.3551 8.92977i −0.602667 0.473943i
\(356\) −11.0618 + 24.2219i −0.586272 + 1.28376i
\(357\) 4.94406 3.95266i 0.261667 0.209197i
\(358\) 1.29872 9.03279i 0.0686395 0.477398i
\(359\) 19.6780 0.937378i 1.03856 0.0494729i 0.478636 0.878014i \(-0.341132\pi\)
0.559929 + 0.828541i \(0.310828\pi\)
\(360\) −0.748662 3.08603i −0.0394580 0.162648i
\(361\) 14.6739 11.5397i 0.772310 0.607351i
\(362\) 41.3567 7.97086i 2.17366 0.418939i
\(363\) −4.98541 + 7.75745i −0.261666 + 0.407160i
\(364\) −5.49406 + 40.5171i −0.287967 + 2.12368i
\(365\) −2.80256 9.54464i −0.146693 0.499589i
\(366\) 0.875876 9.17259i 0.0457828 0.479459i
\(367\) −10.3559 17.9370i −0.540575 0.936303i −0.998871 0.0475038i \(-0.984873\pi\)
0.458296 0.888800i \(-0.348460\pi\)
\(368\) 3.28910 + 3.67887i 0.171456 + 0.191774i
\(369\) −4.54295 2.62287i −0.236496 0.136541i
\(370\) 3.55463 1.62335i 0.184797 0.0843938i
\(371\) 10.2630 12.0379i 0.532829 0.624979i
\(372\) 9.08108 10.4801i 0.470832 0.543369i
\(373\) −1.75547 3.40515i −0.0908950 0.176312i 0.839005 0.544123i \(-0.183138\pi\)
−0.929900 + 0.367811i \(0.880107\pi\)
\(374\) −23.7463 8.21866i −1.22789 0.424977i
\(375\) 5.27069 + 6.70223i 0.272177 + 0.346101i
\(376\) −11.9707 12.5546i −0.617344 0.647452i
\(377\) −3.09725 4.81942i −0.159517 0.248213i
\(378\) −3.54403 + 5.06237i −0.182285 + 0.260380i
\(379\) −7.62810 3.48364i −0.391829 0.178942i 0.209751 0.977755i \(-0.432735\pi\)
−0.601580 + 0.798812i \(0.705462\pi\)
\(380\) 1.07917 + 1.51549i 0.0553604 + 0.0777428i
\(381\) 7.13323 + 17.8180i 0.365447 + 0.912841i
\(382\) −7.29300 + 14.1464i −0.373142 + 0.723795i
\(383\) −13.2709 + 12.6538i −0.678111 + 0.646578i −0.948722 0.316111i \(-0.897623\pi\)
0.270611 + 0.962689i \(0.412774\pi\)
\(384\) −19.7908 + 2.84549i −1.00994 + 0.145208i
\(385\) 7.98190 7.73394i 0.406795 0.394158i
\(386\) 41.9371 + 26.9514i 2.13454 + 1.37179i
\(387\) 5.61188 1.94229i 0.285268 0.0987321i
\(388\) −13.9624 13.3131i −0.708832 0.675870i
\(389\) 3.16370 + 2.25286i 0.160406 + 0.114225i 0.657441 0.753506i \(-0.271639\pi\)
−0.497035 + 0.867730i \(0.665578\pi\)
\(390\) −4.87927 + 8.45114i −0.247071 + 0.427940i
\(391\) −8.18014 + 8.04578i −0.413687 + 0.406893i
\(392\) −23.6483 + 2.64169i −1.19442 + 0.133426i
\(393\) 6.27591 + 13.7423i 0.316578 + 0.693209i
\(394\) 14.6615 60.4354i 0.738635 3.04469i
\(395\) −0.918436 + 4.76530i −0.0462116 + 0.239768i
\(396\) 15.5207 + 0.739340i 0.779943 + 0.0371533i
\(397\) 2.18331 + 11.3281i 0.109577 + 0.568539i 0.994669 + 0.103123i \(0.0328834\pi\)
−0.885092 + 0.465417i \(0.845904\pi\)
\(398\) 6.71364 + 46.6944i 0.336525 + 2.34058i
\(399\) 0.347613 1.48478i 0.0174024 0.0743318i
\(400\) −3.57275 + 2.29607i −0.178637 + 0.114803i
\(401\) −15.3143 + 19.4738i −0.764761 + 0.972473i 0.235238 + 0.971938i \(0.424413\pi\)
−1.00000 0.000535505i \(0.999830\pi\)
\(402\) −17.2892 + 1.65091i −0.862305 + 0.0823401i
\(403\) −17.8677 + 1.70616i −0.890052 + 0.0849896i
\(404\) 32.8407 41.7603i 1.63388 2.07765i
\(405\) −0.785869 + 0.505047i −0.0390501 + 0.0250960i
\(406\) 5.41623 5.77241i 0.268803 0.286480i
\(407\) 1.14617 + 7.97176i 0.0568134 + 0.395146i
\(408\) 1.53914 + 7.98583i 0.0761989 + 0.395358i
\(409\) −11.5754 0.551402i −0.572365 0.0272651i −0.240595 0.970626i \(-0.577343\pi\)
−0.331769 + 0.943360i \(0.607646\pi\)
\(410\) 2.16612 11.2389i 0.106977 0.555049i
\(411\) 5.43827 22.4169i 0.268250 1.10574i
\(412\) −14.7885 32.3824i −0.728580 1.59537i
\(413\) −12.3042 + 8.04764i −0.605449 + 0.395998i
\(414\) 5.44954 9.78656i 0.267830 0.480983i
\(415\) −1.18343 + 2.04977i −0.0580924 + 0.100619i
\(416\) 16.0129 + 11.4028i 0.785098 + 0.559066i
\(417\) 14.0630 + 13.4090i 0.688668 + 0.656644i
\(418\) −5.72070 + 1.97995i −0.279809 + 0.0968427i
\(419\) −21.6230 13.8963i −1.05635 0.678878i −0.107376 0.994219i \(-0.534245\pi\)
−0.948978 + 0.315341i \(0.897881\pi\)
\(420\) −8.21334 2.34024i −0.400770 0.114192i
\(421\) −25.4212 + 3.65502i −1.23895 + 0.178135i −0.730475 0.682939i \(-0.760701\pi\)
−0.508480 + 0.861074i \(0.669792\pi\)
\(422\) 17.7419 16.9168i 0.863660 0.823498i
\(423\) −2.33834 + 4.53575i −0.113694 + 0.220536i
\(424\) 7.55395 + 18.8689i 0.366852 + 0.916353i
\(425\) −5.72778 8.04353i −0.277838 0.390169i
\(426\) −32.8546 15.0042i −1.59181 0.726955i
\(427\) −8.55048 5.98597i −0.413787 0.289681i
\(428\) −14.0058 21.7934i −0.676995 1.05342i
\(429\) −13.8788 14.5557i −0.670074 0.702754i
\(430\) 8.00963 + 10.1851i 0.386259 + 0.491168i
\(431\) −0.576954 0.199686i −0.0277909 0.00961853i 0.313137 0.949708i \(-0.398620\pi\)
−0.340928 + 0.940089i \(0.610741\pi\)
\(432\) −0.471504 0.914591i −0.0226853 0.0440033i
\(433\) −18.3543 + 21.1820i −0.882051 + 1.01794i 0.117639 + 0.993056i \(0.462467\pi\)
−0.999690 + 0.0248850i \(0.992078\pi\)
\(434\) −8.29908 23.3702i −0.398368 1.12181i
\(435\) 1.08845 0.497079i 0.0521872 0.0238331i
\(436\) 58.1868 + 33.5941i 2.78664 + 1.60887i
\(437\) −0.350873 + 2.74180i −0.0167845 + 0.131158i
\(438\) −12.4359 21.5396i −0.594211 1.02920i
\(439\) −2.63359 + 27.5802i −0.125694 + 1.31633i 0.684001 + 0.729481i \(0.260239\pi\)
−0.809695 + 0.586851i \(0.800367\pi\)
\(440\) 4.02309 + 13.7014i 0.191793 + 0.653188i
\(441\) 3.00970 + 6.31994i 0.143319 + 0.300950i
\(442\) 13.5119 21.0249i 0.642694 1.00005i
\(443\) 6.15989 1.18722i 0.292665 0.0564066i −0.0408054 0.999167i \(-0.512992\pi\)
0.333470 + 0.942761i \(0.391780\pi\)
\(444\) 4.86455 3.82553i 0.230861 0.181551i
\(445\) 1.69721 + 6.99599i 0.0804554 + 0.331642i
\(446\) −28.8404 + 1.37384i −1.36563 + 0.0650531i
\(447\) 1.57536 10.9569i 0.0745122 0.518244i
\(448\) −11.8753 + 30.3669i −0.561054 + 1.43470i
\(449\) 3.48702 7.63552i 0.164563 0.360342i −0.809329 0.587356i \(-0.800169\pi\)
0.973892 + 0.227014i \(0.0728962\pi\)
\(450\) 7.57766 + 5.95914i 0.357214 + 0.280916i
\(451\) 20.9668 + 10.8092i 0.987290 + 0.508983i
\(452\) −0.270097 + 0.0655248i −0.0127043 + 0.00308203i
\(453\) 1.11504 2.78523i 0.0523890 0.130861i
\(454\) 11.4511 + 13.2152i 0.537425 + 0.620221i
\(455\) 5.60364 + 9.52841i 0.262703 + 0.446699i
\(456\) 1.48072 + 1.28305i 0.0693409 + 0.0600842i
\(457\) 15.2654 + 3.70333i 0.714083 + 0.173235i 0.576312 0.817229i \(-0.304491\pi\)
0.137771 + 0.990464i \(0.456006\pi\)
\(458\) −22.8238 + 32.0516i −1.06649 + 1.49767i
\(459\) 2.07193 1.19623i 0.0967096 0.0558353i
\(460\) 15.2444 + 2.69345i 0.710773 + 0.125583i
\(461\) 27.6375i 1.28721i −0.765359 0.643603i \(-0.777439\pi\)
0.765359 0.643603i \(-0.222561\pi\)
\(462\) 14.8356 23.4970i 0.690215 1.09318i
\(463\) −37.5166 + 11.0159i −1.74355 + 0.511951i −0.989458 0.144821i \(-0.953739\pi\)
−0.754088 + 0.656773i \(0.771921\pi\)
\(464\) 0.431086 + 1.24554i 0.0200126 + 0.0578227i
\(465\) 0.178384 3.74474i 0.00827235 0.173658i
\(466\) 0.680945 1.96746i 0.0315442 0.0911409i
\(467\) −20.9687 8.39460i −0.970316 0.388456i −0.168285 0.985738i \(-0.553823\pi\)
−0.802031 + 0.597283i \(0.796247\pi\)
\(468\) −4.35395 + 14.8282i −0.201261 + 0.685433i
\(469\) −8.02880 + 17.9606i −0.370736 + 0.829343i
\(470\) −11.0210 1.58458i −0.508360 0.0730912i
\(471\) −11.7493 + 8.36666i −0.541381 + 0.385515i
\(472\) −1.79560 18.8044i −0.0826494 0.865543i
\(473\) −24.7914 + 9.92497i −1.13991 + 0.456350i
\(474\) 0.577354 + 12.1202i 0.0265188 + 0.556697i
\(475\) −2.28250 0.670203i −0.104728 0.0307510i
\(476\) 20.7260 + 6.98763i 0.949973 + 0.320278i
\(477\) 4.51865 3.91543i 0.206895 0.179275i
\(478\) 26.7935 13.8130i 1.22551 0.631792i
\(479\) 15.0112 + 2.89318i 0.685881 + 0.132193i 0.520274 0.853999i \(-0.325830\pi\)
0.165606 + 0.986192i \(0.447042\pi\)
\(480\) −2.83343 + 2.97162i −0.129328 + 0.135635i
\(481\) −7.97389 0.761414i −0.363578 0.0347175i
\(482\) −55.8996 −2.54616
\(483\) −6.60121 10.8362i −0.300366 0.493066i
\(484\) −31.8632 −1.44833
\(485\) −5.19200 0.495776i −0.235757 0.0225120i
\(486\) −1.61180 + 1.69041i −0.0731129 + 0.0766786i
\(487\) −35.6902 6.87873i −1.61728 0.311705i −0.701280 0.712886i \(-0.747388\pi\)
−0.915999 + 0.401181i \(0.868600\pi\)
\(488\) 11.9197 6.14504i 0.539580 0.278173i
\(489\) −8.78935 + 7.61601i −0.397468 + 0.344408i
\(490\) −10.8833 + 10.7158i −0.491657 + 0.484092i
\(491\) 3.35663 + 0.985595i 0.151483 + 0.0444793i 0.356595 0.934259i \(-0.383938\pi\)
−0.205112 + 0.978738i \(0.565756\pi\)
\(492\) −0.862476 18.1056i −0.0388834 0.816263i
\(493\) −2.84502 + 1.13897i −0.128133 + 0.0512968i
\(494\) −0.572322 5.99363i −0.0257500 0.269666i
\(495\) 3.42184 2.43668i 0.153800 0.109521i
\(496\) 4.08746 + 0.587687i 0.183532 + 0.0263879i
\(497\) −33.1356 + 23.9987i −1.48634 + 1.07649i
\(498\) −1.66725 + 5.67813i −0.0747113 + 0.254443i
\(499\) −10.1790 4.07504i −0.455672 0.182424i 0.132460 0.991188i \(-0.457712\pi\)
−0.588132 + 0.808765i \(0.700137\pi\)
\(500\) −9.63614 + 27.8418i −0.430941 + 1.24512i
\(501\) 1.06791 22.4181i 0.0477105 1.00157i
\(502\) 10.7000 + 30.9157i 0.477566 + 1.37984i
\(503\) −8.97454 + 2.63516i −0.400155 + 0.117496i −0.475617 0.879653i \(-0.657775\pi\)
0.0754619 + 0.997149i \(0.475957\pi\)
\(504\) −8.98677 0.355852i −0.400303 0.0158509i
\(505\) 14.3627i 0.639133i
\(506\) −22.3838 + 45.1244i −0.995081 + 2.00603i
\(507\) 6.06482 3.50153i 0.269348 0.155508i
\(508\) −38.4686 + 54.0216i −1.70677 + 2.39682i
\(509\) −25.0782 6.08391i −1.11157 0.269665i −0.362389 0.932027i \(-0.618039\pi\)
−0.749184 + 0.662362i \(0.769554\pi\)
\(510\) 3.94511 + 3.41846i 0.174693 + 0.151372i
\(511\) −28.1728 + 0.226042i −1.24629 + 0.00999949i
\(512\) −7.54293 8.70501i −0.333354 0.384711i
\(513\) 0.214214 0.535081i 0.00945778 0.0236244i
\(514\) 9.01314 2.18656i 0.397553 0.0964452i
\(515\) −8.55441 4.41010i −0.376952 0.194332i
\(516\) 16.1297 + 12.6845i 0.710070 + 0.558405i
\(517\) 9.53266 20.8736i 0.419246 0.918020i
\(518\) −1.66293 10.9420i −0.0730651 0.480764i
\(519\) −1.36013 + 9.45991i −0.0597031 + 0.415244i
\(520\) −14.1865 + 0.675784i −0.622117 + 0.0296351i
\(521\) −0.384141 1.58345i −0.0168295 0.0693722i 0.962778 0.270295i \(-0.0871212\pi\)
−0.979607 + 0.200923i \(0.935606\pi\)
\(522\) 2.35172 1.84941i 0.102932 0.0809465i
\(523\) −16.5873 + 3.19695i −0.725314 + 0.139793i −0.538528 0.842608i \(-0.681019\pi\)
−0.186786 + 0.982401i \(0.559807\pi\)
\(524\) −28.2229 + 43.9157i −1.23292 + 1.91846i
\(525\) 10.1048 4.13973i 0.441010 0.180672i
\(526\) −0.838897 2.85702i −0.0365776 0.124572i
\(527\) −0.912674 + 9.55795i −0.0397567 + 0.416351i
\(528\) 2.31356 + 4.00720i 0.100685 + 0.174391i
\(529\) 13.9163 + 18.3122i 0.605057 + 0.796182i
\(530\) 11.2979 + 6.52284i 0.490749 + 0.283334i
\(531\) −5.05477 + 2.30844i −0.219358 + 0.100178i
\(532\) 4.96543 1.76329i 0.215279 0.0764482i
\(533\) −15.3640 + 17.7310i −0.665489 + 0.768015i
\(534\) 8.24779 + 15.9985i 0.356917 + 0.692322i
\(535\) −6.61844 2.29066i −0.286140 0.0990341i
\(536\) −15.6252 19.8691i −0.674907 0.858214i
\(537\) −2.69619 2.82768i −0.116349 0.122024i
\(538\) 34.3191 + 53.4016i 1.47960 + 2.30231i
\(539\) −14.8710 27.7434i −0.640539 1.19499i
\(540\) −2.93621 1.34092i −0.126354 0.0577041i
\(541\) 6.41621 + 9.01031i 0.275855 + 0.387384i 0.929140 0.369728i \(-0.120549\pi\)
−0.653285 + 0.757112i \(0.726610\pi\)
\(542\) −4.15979 10.3907i −0.178678 0.446317i
\(543\) 8.26292 16.0278i 0.354596 0.687820i
\(544\) 7.61054 7.25663i 0.326299 0.311125i
\(545\) 17.9794 2.58505i 0.770154 0.110731i
\(546\) 19.2324 + 19.8491i 0.823072 + 0.849462i
\(547\) 8.99051 + 5.77785i 0.384406 + 0.247043i 0.718544 0.695481i \(-0.244809\pi\)
−0.334138 + 0.942524i \(0.608445\pi\)
\(548\) 75.3222 26.0693i 3.21761 1.11362i
\(549\) −2.85515 2.72238i −0.121855 0.116188i
\(550\) −35.3118 25.1454i −1.50570 1.07220i
\(551\) −0.369138 + 0.639366i −0.0157258 + 0.0272379i
\(552\) 16.2702 1.02834i 0.692506 0.0437689i
\(553\) 12.2669 + 6.19998i 0.521644 + 0.263650i
\(554\) −2.58970 5.67066i −0.110026 0.240923i
\(555\) 0.394443 1.62592i 0.0167432 0.0690163i
\(556\) −12.7068 + 65.9291i −0.538888 + 2.79601i
\(557\) 40.7679 + 1.94202i 1.72739 + 0.0822858i 0.887598 0.460619i \(-0.152373\pi\)
0.839794 + 0.542905i \(0.182676\pi\)
\(558\) −1.77395 9.20415i −0.0750975 0.389643i
\(559\) −3.77985 26.2894i −0.159871 1.11192i
\(560\) −0.736052 2.43434i −0.0311039 0.102870i
\(561\) −9.05059 + 5.81646i −0.382116 + 0.245571i
\(562\) −6.65763 + 8.46586i −0.280835 + 0.357111i
\(563\) −31.5584 + 3.01346i −1.33003 + 0.127002i −0.735747 0.677257i \(-0.763169\pi\)
−0.594279 + 0.804259i \(0.702563\pi\)
\(564\) −17.5531 + 1.67612i −0.739120 + 0.0705774i
\(565\) −0.0464475 + 0.0590629i −0.00195406 + 0.00248479i
\(566\) 13.0488 8.38592i 0.548480 0.352487i
\(567\) 0.765738 + 2.53252i 0.0321580 + 0.106356i
\(568\) −7.48104 52.0318i −0.313897 2.18320i
\(569\) −8.40520 43.6103i −0.352364 1.82824i −0.534748 0.845012i \(-0.679593\pi\)
0.182383 0.983227i \(-0.441619\pi\)
\(570\) 1.25616 + 0.0598381i 0.0526146 + 0.00250634i
\(571\) 1.91106 9.91552i 0.0799754 0.414952i −0.919772 0.392454i \(-0.871626\pi\)
0.999747 0.0224974i \(-0.00716173\pi\)
\(572\) 16.3840 67.5356i 0.685048 2.82381i
\(573\) 2.83071 + 6.19838i 0.118254 + 0.258941i
\(574\) −28.9314 14.6226i −1.20757 0.610334i
\(575\) −17.4507 + 9.34209i −0.727746 + 0.389592i
\(576\) −6.16201 + 10.6729i −0.256750 + 0.444705i
\(577\) 13.1128 + 9.33762i 0.545895 + 0.388730i 0.819471 0.573120i \(-0.194267\pi\)
−0.273576 + 0.961850i \(0.588207\pi\)
\(578\) 19.0613 + 18.1749i 0.792844 + 0.755975i
\(579\) 20.1693 6.98066i 0.838207 0.290106i
\(580\) 3.47831 + 2.23537i 0.144429 + 0.0928188i
\(581\) 4.66470 + 4.81426i 0.193524 + 0.199729i
\(582\) −12.9078 + 1.85586i −0.535046 + 0.0769280i
\(583\) −19.4587 + 18.5538i −0.805898 + 0.768422i
\(584\) 16.5871 32.1744i 0.686378 1.33139i
\(585\) 1.55282 + 3.87875i 0.0642010 + 0.160366i
\(586\) 39.9838 + 56.1494i 1.65172 + 2.31951i
\(587\) 5.93828 + 2.71192i 0.245099 + 0.111933i 0.534177 0.845372i \(-0.320621\pi\)
−0.289078 + 0.957305i \(0.593349\pi\)
\(588\) −12.7487 + 20.5553i −0.525748 + 0.847685i
\(589\) 1.25054 + 1.94588i 0.0515277 + 0.0801787i
\(590\) −8.36703 8.77508i −0.344465 0.361264i
\(591\) −16.4587 20.9290i −0.677022 0.860904i
\(592\) 1.74153 + 0.602749i 0.0715764 + 0.0247728i
\(593\) 10.5188 + 20.4037i 0.431957 + 0.837879i 0.999890 + 0.0148049i \(0.00471272\pi\)
−0.567934 + 0.823074i \(0.692257\pi\)
\(594\) 6.87807 7.93772i 0.282211 0.325688i
\(595\) 5.57222 1.97877i 0.228439 0.0811215i
\(596\) 34.7932 15.8895i 1.42519 0.650861i
\(597\) 17.4914 + 10.0987i 0.715877 + 0.413312i
\(598\) −38.3666 32.2160i −1.56893 1.31741i
\(599\) 3.79665 + 6.57599i 0.155127 + 0.268688i 0.933105 0.359603i \(-0.117088\pi\)
−0.777978 + 0.628291i \(0.783755\pi\)
\(600\) −1.33366 + 13.9667i −0.0544464 + 0.570188i
\(601\) −11.3181 38.5458i −0.461673 1.57231i −0.780913 0.624640i \(-0.785246\pi\)
0.319239 0.947674i \(-0.396573\pi\)
\(602\) 33.9584 13.9120i 1.38404 0.567012i
\(603\) −4.02013 + 6.25545i −0.163712 + 0.254742i
\(604\) 10.1793 1.96190i 0.414191 0.0798287i
\(605\) −6.77122 + 5.32495i −0.275289 + 0.216490i
\(606\) −8.46633 34.8987i −0.343921 1.41766i
\(607\) −33.5248 + 1.59698i −1.36073 + 0.0648196i −0.715203 0.698917i \(-0.753666\pi\)
−0.645528 + 0.763737i \(0.723363\pi\)
\(608\) 0.360529 2.50753i 0.0146214 0.101694i
\(609\) −0.509200 3.35051i −0.0206338 0.135769i
\(610\) 3.57576 7.82982i 0.144778 0.317020i
\(611\) 17.9402 + 14.1083i 0.725783 + 0.570762i
\(612\) 7.34793 + 3.78812i 0.297022 + 0.153126i
\(613\) 43.2569 10.4940i 1.74713 0.423849i 0.770268 0.637720i \(-0.220122\pi\)
0.976862 + 0.213871i \(0.0686073\pi\)
\(614\) 7.24594 18.0995i 0.292423 0.730436i
\(615\) −3.20907 3.70346i −0.129402 0.149338i
\(616\) 40.4422 0.324484i 1.62946 0.0130738i
\(617\) −0.925545 0.801989i −0.0372610 0.0322869i 0.636031 0.771663i \(-0.280575\pi\)
−0.673292 + 0.739376i \(0.735120\pi\)
\(618\) −23.3852 5.67318i −0.940690 0.228209i
\(619\) −5.80504 + 8.15204i −0.233324 + 0.327658i −0.914593 0.404375i \(-0.867489\pi\)
0.681269 + 0.732033i \(0.261428\pi\)
\(620\) 11.2187 6.47712i 0.450554 0.260127i
\(621\) −1.85131 4.42410i −0.0742906 0.177533i
\(622\) 31.4455i 1.26085i
\(623\) 20.3729 + 0.806713i 0.816223 + 0.0323203i
\(624\) −4.41566 + 1.29655i −0.176768 + 0.0519037i
\(625\) −4.14448 11.9747i −0.165779 0.478987i
\(626\) 1.35715 28.4901i 0.0542427 1.13869i
\(627\) −0.847699 + 2.44927i −0.0338538 + 0.0978143i
\(628\) −46.2700 18.5237i −1.84638 0.739177i
\(629\) −1.20719 + 4.11131i −0.0481338 + 0.163929i
\(630\) −4.67535 + 3.38616i −0.186271 + 0.134908i
\(631\) 5.11549 + 0.735497i 0.203644 + 0.0292797i 0.243382 0.969930i \(-0.421743\pi\)
−0.0397376 + 0.999210i \(0.512652\pi\)
\(632\) −14.3851 + 10.2436i −0.572210 + 0.407469i
\(633\) −0.997669 10.4481i −0.0396538 0.415273i
\(634\) −27.4994 + 11.0091i −1.09214 + 0.437227i
\(635\) 0.853105 + 17.9089i 0.0338545 + 0.710692i
\(636\) 19.8231 + 5.82057i 0.786035 + 0.230801i
\(637\) 30.3025 7.86823i 1.20063 0.311750i
\(638\) −10.1675 + 8.81022i −0.402536 + 0.348800i
\(639\) −13.7448 + 7.08593i −0.543736 + 0.280315i
\(640\) −18.3404 3.53483i −0.724969 0.139726i
\(641\) −18.3782 + 19.2745i −0.725895 + 0.761297i −0.978494 0.206274i \(-0.933866\pi\)
0.252599 + 0.967571i \(0.418715\pi\)
\(642\) −17.4318 1.66454i −0.687979 0.0656940i
\(643\) 40.4583 1.59552 0.797759 0.602976i \(-0.206019\pi\)
0.797759 + 0.602976i \(0.206019\pi\)
\(644\) 19.1676 39.4323i 0.755308 1.55385i
\(645\) 5.54752 0.218433
\(646\) −3.20617 0.306152i −0.126145 0.0120454i
\(647\) 27.4987 28.8398i 1.08109 1.13381i 0.0906434 0.995883i \(-0.471108\pi\)
0.990442 0.137927i \(-0.0440439\pi\)
\(648\) −3.33791 0.643330i −0.131126 0.0252724i
\(649\) 22.2107 11.4504i 0.871845 0.449468i
\(650\) 32.5844 28.2345i 1.27806 1.10745i
\(651\) −10.0615 3.39217i −0.394341 0.132950i
\(652\) −38.5584 11.3218i −1.51006 0.443394i
\(653\) −0.121851 2.55796i −0.00476839 0.100101i −0.999997 0.00252826i \(-0.999195\pi\)
0.995228 0.0975726i \(-0.0311078\pi\)
\(654\) 42.1628 16.8794i 1.64869 0.660038i
\(655\) 1.34152 + 14.0490i 0.0524176 + 0.548941i
\(656\) 4.39688 3.13100i 0.171669 0.122245i
\(657\) −10.5403 1.51546i −0.411215 0.0591238i
\(658\) −12.8694 + 28.7892i −0.501703 + 1.12232i
\(659\) 6.94767 23.6616i 0.270643 0.921724i −0.706244 0.707968i \(-0.749612\pi\)
0.976887 0.213756i \(-0.0685698\pi\)
\(660\) 13.4755 + 5.39479i 0.524534 + 0.209992i
\(661\) 3.27977 9.47628i 0.127568 0.368585i −0.863072 0.505080i \(-0.831463\pi\)
0.990641 + 0.136496i \(0.0435840\pi\)
\(662\) −0.669805 + 14.0609i −0.0260327 + 0.546494i
\(663\) −3.49971 10.1117i −0.135917 0.392707i
\(664\) −8.26394 + 2.42651i −0.320703 + 0.0941669i
\(665\) 0.760519 1.20453i 0.0294917 0.0467097i
\(666\) 4.18318i 0.162095i
\(667\) 1.54075 + 5.94669i 0.0596581 + 0.230257i
\(668\) 67.1614 38.7756i 2.59855 1.50027i
\(669\) −7.17053 + 10.0696i −0.277229 + 0.389313i
\(670\) −15.7670 3.82504i −0.609133 0.147774i
\(671\) 13.4070 + 11.6172i 0.517572 + 0.448479i
\(672\) 5.89508 + 10.0240i 0.227408 + 0.386683i
\(673\) 3.44566 + 3.97651i 0.132820 + 0.153283i 0.818264 0.574843i \(-0.194937\pi\)
−0.685443 + 0.728126i \(0.740391\pi\)
\(674\) 29.4225 73.4939i 1.13331 2.83088i
\(675\) 4.01099 0.973057i 0.154383 0.0374530i
\(676\) 21.5083 + 11.0883i 0.827244 + 0.426474i
\(677\) −3.41828 2.68817i −0.131375 0.103315i 0.550309 0.834961i \(-0.314510\pi\)
−0.681684 + 0.731646i \(0.738752\pi\)
\(678\) −0.0780432 + 0.170891i −0.00299723 + 0.00656302i
\(679\) −5.37990 + 13.7572i −0.206461 + 0.527953i
\(680\) −1.08122 + 7.52004i −0.0414628 + 0.288380i
\(681\) 7.47810 0.356226i 0.286561 0.0136506i
\(682\) 9.93748 + 40.9629i 0.380526 + 1.56855i
\(683\) −1.79225 + 1.40944i −0.0685784 + 0.0539307i −0.651860 0.758340i \(-0.726011\pi\)
0.583281 + 0.812270i \(0.301769\pi\)
\(684\) 1.95559 0.376909i 0.0747737 0.0144115i
\(685\) 11.6500 18.1277i 0.445122 0.692624i
\(686\) 20.7413 + 37.9605i 0.791906 + 1.44934i
\(687\) 4.74616 + 16.1639i 0.181077 + 0.616692i
\(688\) −0.580846 + 6.08290i −0.0221446 + 0.231908i
\(689\) −13.3705 23.1584i −0.509377 0.882267i
\(690\) 7.80091 6.97440i 0.296976 0.265511i
\(691\) 17.7631 + 10.2555i 0.675740 + 0.390139i 0.798248 0.602329i \(-0.205760\pi\)
−0.122508 + 0.992468i \(0.539094\pi\)
\(692\) −30.0396 + 13.7186i −1.14193 + 0.521504i
\(693\) −3.98135 11.2115i −0.151239 0.425890i
\(694\) −30.0088 + 34.6320i −1.13912 + 1.31461i
\(695\) 8.31768 + 16.1340i 0.315508 + 0.611999i
\(696\) 4.11478 + 1.42414i 0.155970 + 0.0539819i
\(697\) 7.75805 + 9.86516i 0.293857 + 0.373670i
\(698\) 19.4282 + 20.3757i 0.735366 + 0.771230i
\(699\) −0.481914 0.749873i −0.0182277 0.0283628i
\(700\) 30.9107 + 21.6398i 1.16831 + 0.817906i
\(701\) 15.8287 + 7.22871i 0.597840 + 0.273024i 0.691264 0.722602i \(-0.257054\pi\)
−0.0934242 + 0.995626i \(0.529781\pi\)
\(702\) 6.05943 + 8.50928i 0.228699 + 0.321162i
\(703\) 0.383655 + 0.958324i 0.0144698 + 0.0361439i
\(704\) 25.3944 49.2582i 0.957086 1.85649i
\(705\) −3.45008 + 3.28965i −0.129938 + 0.123895i
\(706\) −7.57673 + 1.08937i −0.285154 + 0.0409989i
\(707\) −39.1212 11.1469i −1.47131 0.419222i
\(708\) −16.1533 10.3811i −0.607078 0.390145i
\(709\) −37.2553 + 12.8942i −1.39915 + 0.484251i −0.919459 0.393186i \(-0.871373\pi\)
−0.479692 + 0.877437i \(0.659251\pi\)
\(710\) −24.4192 23.2837i −0.916438 0.873822i
\(711\) 4.23174 + 3.01341i 0.158703 + 0.113012i
\(712\) −13.0981 + 22.6866i −0.490873 + 0.850217i
\(713\) 18.7723 + 4.24675i 0.703027 + 0.159042i
\(714\) 12.3730 8.09265i 0.463048 0.302860i
\(715\) −7.80473 17.0900i −0.291880 0.639129i
\(716\) 3.18286 13.1199i 0.118949 0.490315i
\(717\) 2.44249 12.6729i 0.0912166 0.473277i
\(718\) 45.9615 + 2.18941i 1.71527 + 0.0817082i
\(719\) 9.59990 + 49.8090i 0.358016 + 1.85756i 0.497675 + 0.867364i \(0.334187\pi\)
−0.139659 + 0.990200i \(0.544601\pi\)
\(720\) −0.136798 0.951449i −0.00509815 0.0354584i
\(721\) −18.6513 + 19.8778i −0.694611 + 0.740290i
\(722\) 36.6803 23.5730i 1.36510 0.877297i
\(723\) −14.7943 + 18.8125i −0.550207 + 0.699645i
\(724\) 62.0269 5.92285i 2.30521 0.220121i
\(725\) −5.26282 + 0.502539i −0.195456 + 0.0186638i
\(726\) −13.3139 + 16.9300i −0.494125 + 0.628331i
\(727\) −39.7486 + 25.5449i −1.47419 + 0.947407i −0.476525 + 0.879161i \(0.658104\pi\)
−0.997669 + 0.0682456i \(0.978260\pi\)
\(728\) −9.16938 + 39.1656i −0.339840 + 1.45157i
\(729\) 0.142315 + 0.989821i 0.00527092 + 0.0366601i
\(730\) −4.39713 22.8145i −0.162745 0.844402i
\(731\) −14.1915 0.676026i −0.524893 0.0250037i
\(732\) 2.57980 13.3853i 0.0953522 0.494734i
\(733\) 2.57490 10.6139i 0.0951061 0.392033i −0.904285 0.426930i \(-0.859595\pi\)
0.999391 + 0.0348970i \(0.0111103\pi\)
\(734\) −20.0962 44.0046i −0.741765 1.62424i
\(735\) 0.725956 + 6.49873i 0.0267773 + 0.239709i
\(736\) −12.4922 16.9788i −0.460467 0.625847i
\(737\) 16.7188 28.9579i 0.615846 1.06668i
\(738\) −9.98049 7.10707i −0.367387 0.261615i
\(739\) 17.3817 + 16.5734i 0.639396 + 0.609663i 0.938800 0.344464i \(-0.111939\pi\)
−0.299404 + 0.954127i \(0.596788\pi\)
\(740\) 5.46319 1.89083i 0.200831 0.0695082i
\(741\) −2.16857 1.39366i −0.0796646 0.0511973i
\(742\) 26.5352 25.7109i 0.974138 0.943876i
\(743\) −44.9873 + 6.46819i −1.65042 + 0.237295i −0.903801 0.427954i \(-0.859235\pi\)
−0.746622 + 0.665249i \(0.768326\pi\)
\(744\) 9.87335 9.41422i 0.361974 0.345142i
\(745\) 4.73843 9.19127i 0.173603 0.336742i
\(746\) −3.32565 8.30707i −0.121761 0.304143i
\(747\) 1.46967 + 2.06387i 0.0537726 + 0.0755130i
\(748\) −33.8153 15.4429i −1.23641 0.564650i
\(749\) −11.3759 + 16.2495i −0.415666 + 0.593746i
\(750\) 10.7669 + 16.7536i 0.393150 + 0.611754i
\(751\) −5.57953 5.85164i −0.203600 0.213530i 0.614016 0.789294i \(-0.289553\pi\)
−0.817616 + 0.575764i \(0.804705\pi\)
\(752\) −3.24589 4.12748i −0.118365 0.150514i
\(753\) 13.2363 + 4.58112i 0.482357 + 0.166945i
\(754\) −6.13143 11.8933i −0.223293 0.433129i
\(755\) 1.83532 2.11808i 0.0667943 0.0770847i
\(756\) −5.93119 + 6.95697i −0.215715 + 0.253022i
\(757\) 33.1164 15.1238i 1.20364 0.549682i 0.290319 0.956930i \(-0.406239\pi\)
0.913318 + 0.407248i \(0.133511\pi\)
\(758\) −16.9627 9.79341i −0.616112 0.355713i
\(759\) 9.26218 + 19.4757i 0.336196 + 0.706922i
\(760\) 0.915139 + 1.58507i 0.0331956 + 0.0574964i
\(761\) 2.13474 22.3561i 0.0773844 0.810406i −0.870579 0.492028i \(-0.836256\pi\)
0.947964 0.318378i \(-0.103138\pi\)
\(762\) 12.6296 + 43.0123i 0.457520 + 1.55817i
\(763\) 6.91262 50.9786i 0.250254 1.84555i
\(764\) −12.7297 + 19.8079i −0.460546 + 0.716623i
\(765\) 2.19456 0.422968i 0.0793447 0.0152924i
\(766\) −33.6656 + 26.4749i −1.21639 + 0.956578i
\(767\) 5.85939 + 24.1527i 0.211570 + 0.872105i
\(768\) −22.0273 + 1.04929i −0.794841 + 0.0378629i
\(769\) −6.14559 + 42.7435i −0.221616 + 1.54137i 0.510313 + 0.859989i \(0.329530\pi\)
−0.731929 + 0.681381i \(0.761380\pi\)
\(770\) 20.2758 16.2101i 0.730690 0.584170i
\(771\) 1.64954 3.61199i 0.0594068 0.130083i
\(772\) 57.9707 + 45.5887i 2.08641 + 1.64077i
\(773\) 39.7755 + 20.5057i 1.43062 + 0.737538i 0.987307 0.158826i \(-0.0507710\pi\)
0.443318 + 0.896365i \(0.353801\pi\)
\(774\) 13.4794 3.27007i 0.484508 0.117540i
\(775\) −6.15615 + 15.3773i −0.221135 + 0.552370i
\(776\) −12.4287 14.3435i −0.446165 0.514902i
\(777\) −4.12255 2.33626i −0.147896 0.0838127i
\(778\) 6.85575 + 5.94054i 0.245791 + 0.212979i
\(779\) 2.93825 + 0.712811i 0.105274 + 0.0255391i
\(780\) −8.37413 + 11.7598i −0.299842 + 0.421069i
\(781\) 60.2216 34.7689i 2.15490 1.24413i
\(782\) −20.8060 + 16.8911i −0.744021 + 0.604025i
\(783\) 1.28091i 0.0457761i
\(784\) −7.20191 + 0.115575i −0.257211 + 0.00412768i
\(785\) −12.9285 + 3.79614i −0.461436 + 0.135490i
\(786\) 11.5411 + 33.3457i 0.411656 + 1.18940i
\(787\) 1.89080 39.6929i 0.0673999 1.41490i −0.671461 0.741040i \(-0.734333\pi\)
0.738861 0.673858i \(-0.235364\pi\)
\(788\) 30.0907 86.9414i 1.07194 3.09716i
\(789\) −1.18353 0.473813i −0.0421347 0.0168682i
\(790\) −3.19345 + 10.8759i −0.113618 + 0.386947i
\(791\) 0.124828 + 0.172353i 0.00443836 + 0.00612815i
\(792\) 15.1306 + 2.17545i 0.537643 + 0.0773013i
\(793\) −14.3724 + 10.2345i −0.510379 + 0.363439i
\(794\) 2.56135 + 26.8237i 0.0908989 + 0.951936i
\(795\) 5.18530 2.07588i 0.183904 0.0736239i
\(796\) 3.32074 + 69.7109i 0.117701 + 2.47084i
\(797\) −9.29732 2.72994i −0.329328 0.0966994i 0.112889 0.993608i \(-0.463990\pi\)
−0.442217 + 0.896908i \(0.645808\pi\)
\(798\) 1.13789 3.37508i 0.0402808 0.119477i
\(799\) 9.22679 7.99506i 0.326420 0.282845i
\(800\) 16.1244 8.31268i 0.570082 0.293898i
\(801\) 7.56701 + 1.45842i 0.267367 + 0.0515308i
\(802\) −39.9310 + 41.8784i −1.41001 + 1.47878i
\(803\) 47.6681 + 4.55176i 1.68217 + 0.160628i
\(804\) −25.6939 −0.906153
\(805\) −2.51660 11.5830i −0.0886987 0.408246i
\(806\) −41.9230 −1.47667
\(807\) 27.0547 + 2.58341i 0.952372 + 0.0909405i
\(808\) 36.0668 37.8258i 1.26882 1.33071i
\(809\) 2.81322 + 0.542204i 0.0989076 + 0.0190629i 0.238465 0.971151i \(-0.423356\pi\)
−0.139557 + 0.990214i \(0.544568\pi\)
\(810\) −1.93936 + 0.999808i −0.0681420 + 0.0351297i
\(811\) 37.2539 32.2807i 1.30816 1.13353i 0.326025 0.945361i \(-0.394291\pi\)
0.982137 0.188168i \(-0.0602549\pi\)
\(812\) 8.78822 7.73935i 0.308406 0.271598i
\(813\) −4.59782 1.35004i −0.161252 0.0473480i
\(814\) 0.895061 + 18.7896i 0.0313719 + 0.658577i
\(815\) −10.0861 + 4.03785i −0.353300 + 0.141440i
\(816\) 0.234008 + 2.45064i 0.00819192 + 0.0857896i
\(817\) −2.78809 + 1.98539i −0.0975429 + 0.0694600i
\(818\) −26.7915 3.85203i −0.936742 0.134683i
\(819\) 11.7701 1.21928i 0.411280 0.0426050i
\(820\) 4.77051 16.2469i 0.166594 0.567366i
\(821\) −29.0450 11.6279i −1.01368 0.405815i −0.195452 0.980713i \(-0.562617\pi\)
−0.818225 + 0.574898i \(0.805042\pi\)
\(822\) 17.6215 50.9141i 0.614622 1.77583i
\(823\) 1.46092 30.6685i 0.0509245 1.06904i −0.818354 0.574714i \(-0.805113\pi\)
0.869279 0.494323i \(-0.164584\pi\)
\(824\) −11.4546 33.0958i −0.399038 1.15295i
\(825\) −17.8080 + 5.22891i −0.619997 + 0.182047i
\(826\) −30.3952 + 15.9798i −1.05759 + 0.556008i
\(827\) 5.14835i 0.179026i −0.995986 0.0895128i \(-0.971469\pi\)
0.995986 0.0895128i \(-0.0285310\pi\)
\(828\) 9.40177 13.6463i 0.326734 0.474242i
\(829\) 42.9920 24.8214i 1.49317 0.862084i 0.493203 0.869914i \(-0.335826\pi\)
0.999969 + 0.00783065i \(0.00249260\pi\)
\(830\) −3.20669 + 4.50317i −0.111306 + 0.156307i
\(831\) −2.59380 0.629249i −0.0899780 0.0218284i
\(832\) 41.6561 + 36.0952i 1.44416 + 1.25138i
\(833\) −1.06518 16.7133i −0.0369064 0.579083i
\(834\) 29.7208 + 34.2997i 1.02915 + 1.18770i
\(835\) 7.79225 19.4641i 0.269662 0.673583i
\(836\) −8.70330 + 2.11140i −0.301010 + 0.0730242i
\(837\) −3.56707 1.83895i −0.123296 0.0635635i
\(838\) −47.1905 37.1110i −1.63017 1.28198i
\(839\) 10.5328 23.0637i 0.363634 0.796247i −0.636063 0.771637i \(-0.719438\pi\)
0.999697 0.0246101i \(-0.00783442\pi\)
\(840\) −7.82467 3.05991i −0.269977 0.105577i
\(841\) 3.89363 27.0808i 0.134263 0.933820i
\(842\) −59.9185 + 2.85427i −2.06493 + 0.0983646i
\(843\) 1.08711 + 4.48114i 0.0374421 + 0.154339i
\(844\) 28.5073 22.4184i 0.981263 0.771674i
\(845\) 6.42378 1.23808i 0.220985 0.0425913i
\(846\) −6.44391 + 10.0269i −0.221546 + 0.344733i
\(847\) 9.24897 + 22.5762i 0.317799 + 0.775726i
\(848\) 1.73330 + 5.90307i 0.0595217 + 0.202712i
\(849\) 0.631260 6.61086i 0.0216648 0.226884i
\(850\) −11.5318 19.9737i −0.395539 0.685093i
\(851\) 7.86752 + 3.44643i 0.269695 + 0.118142i
\(852\) −46.2749 26.7168i −1.58535 0.915303i
\(853\) −19.9666 + 9.11844i −0.683644 + 0.312210i −0.726791 0.686859i \(-0.758989\pi\)
0.0431469 + 0.999069i \(0.486262\pi\)
\(854\) −18.5517 15.8164i −0.634828 0.541225i
\(855\) 0.352591 0.406912i 0.0120584 0.0139161i
\(856\) −11.6782 22.6525i −0.399152 0.774247i
\(857\) 38.7479 + 13.4108i 1.32360 + 0.458104i 0.895273 0.445518i \(-0.146980\pi\)
0.428331 + 0.903622i \(0.359102\pi\)
\(858\) −29.0380 36.9248i −0.991340 1.26059i
\(859\) −14.7960 15.5176i −0.504832 0.529453i 0.421165 0.906984i \(-0.361621\pi\)
−0.925997 + 0.377532i \(0.876773\pi\)
\(860\) 10.3635 + 16.1259i 0.353392 + 0.549889i
\(861\) −12.5781 + 5.86662i −0.428659 + 0.199934i
\(862\) −1.29714 0.592386i −0.0441809 0.0201767i
\(863\) 3.37032 + 4.73295i 0.114727 + 0.161111i 0.867946 0.496658i \(-0.165440\pi\)
−0.753220 + 0.657769i \(0.771500\pi\)
\(864\) 1.63358 + 4.08048i 0.0555754 + 0.138821i
\(865\) −4.09104 + 7.93551i −0.139099 + 0.269815i
\(866\) −47.3785 + 45.1753i −1.60999 + 1.53512i
\(867\) 11.1613 1.60476i 0.379059 0.0545005i
\(868\) −8.93558 35.5844i −0.303293 1.20781i
\(869\) −19.6525 12.6299i −0.666667 0.428441i
\(870\) 2.64112 0.914101i 0.0895424 0.0309909i
\(871\) 24.0690 + 22.9498i 0.815548 + 0.777624i
\(872\) 53.8421 + 38.3408i 1.82332 + 1.29838i
\(873\) −2.79160 + 4.83518i −0.0944812 + 0.163646i
\(874\) −1.42455 + 6.29707i −0.0481862 + 0.213001i
\(875\) 22.5239 1.25414i 0.761448 0.0423978i
\(876\) −15.2853 33.4702i −0.516443 1.13085i
\(877\) −9.09798 + 37.5024i −0.307217 + 1.26636i 0.583615 + 0.812031i \(0.301638\pi\)
−0.890831 + 0.454334i \(0.849877\pi\)
\(878\) −12.2467 + 63.5422i −0.413308 + 2.14444i
\(879\) 29.4787 + 1.40424i 0.994291 + 0.0473639i
\(880\) 0.818035 + 4.24437i 0.0275760 + 0.143078i
\(881\) 7.98324 + 55.5246i 0.268962 + 1.87067i 0.458353 + 0.888770i \(0.348440\pi\)
−0.189391 + 0.981902i \(0.560651\pi\)
\(882\) 5.59471 + 15.3627i 0.188384 + 0.517290i
\(883\) −16.0963 + 10.3444i −0.541682 + 0.348118i −0.782697 0.622403i \(-0.786156\pi\)
0.241014 + 0.970522i \(0.422520\pi\)
\(884\) 22.8556 29.0632i 0.768715 0.977501i
\(885\) −5.16759 + 0.493445i −0.173707 + 0.0165870i
\(886\) 14.5860 1.39279i 0.490025 0.0467917i
\(887\) 17.8297 22.6723i 0.598662 0.761260i −0.388419 0.921483i \(-0.626979\pi\)
0.987081 + 0.160222i \(0.0512211\pi\)
\(888\) 5.12171 3.29152i 0.171873 0.110456i
\(889\) 49.4424 + 11.5754i 1.65824 + 0.388225i
\(890\) 2.39293 + 16.6432i 0.0802113 + 0.557882i
\(891\) −0.851027 4.41555i −0.0285105 0.147926i
\(892\) −42.6664 2.03245i −1.42858 0.0680516i
\(893\) 0.556628 2.88806i 0.0186269 0.0966453i
\(894\) 6.09554 25.1262i 0.203865 0.840345i
\(895\) −1.51620 3.32002i −0.0506811 0.110976i
\(896\) −23.8621 + 47.2123i −0.797178 + 1.57725i
\(897\) −20.9961 + 4.38567i −0.701039 + 0.146433i
\(898\) 9.80293 16.9792i 0.327128 0.566602i
\(899\) 4.18738 + 2.98182i 0.139657 + 0.0994492i
\(900\) 10.3216 + 9.84163i 0.344053 + 0.328054i
\(901\) −13.5179 + 4.67858i −0.450345 + 0.155866i
\(902\) 46.3502 + 29.7875i 1.54329 + 0.991814i
\(903\) 4.30542 15.1104i 0.143275 0.502841i
\(904\) −0.270639 + 0.0389121i −0.00900134 + 0.00129420i
\(905\) 12.1914 11.6245i 0.405257 0.386412i
\(906\) 3.21095 6.22838i 0.106677 0.206924i
\(907\) −3.04741 7.61206i −0.101188 0.252754i 0.869132 0.494580i \(-0.164678\pi\)
−0.970320 + 0.241826i \(0.922254\pi\)
\(908\) 15.0056 + 21.0723i 0.497977 + 0.699310i
\(909\) −13.9855 6.38699i −0.463871 0.211843i
\(910\) 10.9135 + 23.3987i 0.361780 + 0.775658i
\(911\) −6.21634 9.67282i −0.205957 0.320475i 0.722874 0.690980i \(-0.242821\pi\)
−0.928830 + 0.370505i \(0.879184\pi\)
\(912\) 0.409264 + 0.429224i 0.0135521 + 0.0142130i
\(913\) −7.04296 8.95585i −0.233088 0.296395i
\(914\) 34.6713 + 11.9999i 1.14682 + 0.396920i
\(915\) −1.68870 3.27562i −0.0558268 0.108289i
\(916\) −38.1199 + 43.9927i −1.25952 + 1.45356i
\(917\) 39.3080 + 7.24940i 1.29806 + 0.239396i
\(918\) 5.08305 2.32135i 0.167766 0.0766160i
\(919\) 30.2144 + 17.4443i 0.996680 + 0.575433i 0.907264 0.420561i \(-0.138167\pi\)
0.0894154 + 0.995994i \(0.471500\pi\)
\(920\) 14.6773 + 4.06332i 0.483896 + 0.133964i
\(921\) −4.17353 7.22876i −0.137522 0.238196i
\(922\) 6.13609 64.2600i 0.202081 2.11629i
\(923\) 19.4851 + 66.3601i 0.641359 + 2.18427i
\(924\) 25.1527 32.5178i 0.827462 1.06976i
\(925\) −3.99643 + 6.21856i −0.131402 + 0.204465i
\(926\) −89.6758 + 17.2836i −2.94693 + 0.567974i
\(927\) −8.09836 + 6.36862i −0.265985 + 0.209173i
\(928\) −1.32733 5.47133i −0.0435717 0.179605i
\(929\) −39.5117 + 1.88218i −1.29634 + 0.0617522i −0.684373 0.729132i \(-0.739924\pi\)
−0.611965 + 0.790885i \(0.709621\pi\)
\(930\) 1.24617 8.66730i 0.0408635 0.284212i
\(931\) −2.69067 3.00634i −0.0881830 0.0985287i
\(932\) 1.27950 2.80172i 0.0419115 0.0917733i
\(933\) 10.5827 + 8.32233i 0.346462 + 0.272461i
\(934\) −46.8906 24.1738i −1.53431 0.790991i
\(935\) −9.76686 + 2.36941i −0.319411 + 0.0774882i
\(936\) −5.65056 + 14.1144i −0.184694 + 0.461344i
\(937\) −16.5756 19.1293i −0.541502 0.624927i 0.417380 0.908732i \(-0.362948\pi\)
−0.958882 + 0.283805i \(0.908403\pi\)
\(938\) −22.6554 + 39.9777i −0.739726 + 1.30532i
\(939\) −9.22893 7.99692i −0.301175 0.260969i
\(940\) −16.0078 3.88344i −0.522116 0.126664i
\(941\) −11.4822 + 16.1245i −0.374309 + 0.525644i −0.958166 0.286213i \(-0.907604\pi\)
0.583857 + 0.811857i \(0.301543\pi\)
\(942\) −29.1760 + 16.8448i −0.950605 + 0.548832i
\(943\) 21.5894 12.9155i 0.703047 0.420585i
\(944\) 5.71797i 0.186104i
\(945\) −0.0977908 + 2.46963i −0.00318113 + 0.0803371i
\(946\) −59.8460 + 17.5724i −1.94576 + 0.571327i
\(947\) −2.86846 8.28787i −0.0932124 0.269320i 0.888751 0.458390i \(-0.151574\pi\)
−0.981964 + 0.189070i \(0.939453\pi\)
\(948\) −0.854136 + 17.9305i −0.0277411 + 0.582357i
\(949\) −15.5769 + 45.0065i −0.505647 + 1.46097i
\(950\) −5.15825 2.06505i −0.167356 0.0669992i
\(951\) −3.57295 + 12.1684i −0.115861 + 0.394586i
\(952\) 19.6440 + 8.78131i 0.636665 + 0.284604i
\(953\) −52.1588 7.49931i −1.68959 0.242926i −0.770632 0.637280i \(-0.780059\pi\)
−0.918959 + 0.394354i \(0.870968\pi\)
\(954\) 11.3756 8.10055i 0.368300 0.262265i
\(955\) 0.605084 + 6.33672i 0.0195801 + 0.205052i
\(956\) 41.4012 16.5745i 1.33901 0.536059i
\(957\) 0.274073 + 5.75350i 0.00885952 + 0.185984i
\(958\) 34.2603 + 10.0597i 1.10690 + 0.325015i
\(959\) −40.3348 45.8011i −1.30248 1.47899i
\(960\) −8.70068 + 7.53919i −0.280813 + 0.243326i
\(961\) −13.2385 + 6.82494i −0.427049 + 0.220159i
\(962\) −18.3711 3.54073i −0.592307 0.114158i
\(963\) −5.17368 + 5.42600i −0.166719 + 0.174850i
\(964\) −82.3232 7.86091i −2.65145 0.253183i
\(965\) 19.9380 0.641827
\(966\) −12.9426 26.6610i −0.416422 0.857803i
\(967\) −2.20414 −0.0708804 −0.0354402 0.999372i \(-0.511283\pi\)
−0.0354402 + 0.999372i \(0.511283\pi\)
\(968\) −31.2044 2.97966i −1.00295 0.0957699i
\(969\) −0.951576 + 0.997984i −0.0305690 + 0.0320599i
\(970\) −11.9619 2.30546i −0.384072 0.0740238i
\(971\) 29.6626 15.2921i 0.951917 0.490747i 0.0889658 0.996035i \(-0.471644\pi\)
0.862951 + 0.505287i \(0.168614\pi\)
\(972\) −2.61142 + 2.26280i −0.0837612 + 0.0725795i
\(973\) 50.4013 10.1341i 1.61579 0.324885i
\(974\) −81.4562 23.9177i −2.61003 0.766373i
\(975\) −0.878335 18.4385i −0.0281292 0.590505i
\(976\) 3.76856 1.50870i 0.120629 0.0482924i
\(977\) −1.05501 11.0486i −0.0337529 0.353476i −0.996534 0.0831922i \(-0.973488\pi\)
0.962781 0.270284i \(-0.0871176\pi\)
\(978\) −22.1270 + 15.7566i −0.707545 + 0.503840i
\(979\) −34.3009 4.93173i −1.09626 0.157619i
\(980\) −17.5347 + 14.2507i −0.560127 + 0.455222i
\(981\) 5.47813 18.6568i 0.174903 0.595666i
\(982\) 7.58569 + 3.03685i 0.242069 + 0.0969098i
\(983\) 19.4053 56.0680i 0.618933 1.78829i 0.00363910 0.999993i \(-0.498842\pi\)
0.615294 0.788297i \(-0.289037\pi\)
\(984\) 0.848484 17.8119i 0.0270487 0.567822i
\(985\) −8.13500 23.5045i −0.259203 0.748917i
\(986\) −6.86784 + 2.01658i −0.218717 + 0.0642210i
\(987\) 6.28275 + 11.9504i 0.199982 + 0.380387i
\(988\) 8.90729i 0.283379i
\(989\) −4.95523 + 28.0456i −0.157567 + 0.891798i
\(990\) 8.49711 4.90581i 0.270056 0.155917i
\(991\) −21.2117 + 29.7877i −0.673812 + 0.946236i 0.326188 + 0.945305i \(0.394236\pi\)
−1.00000 0.000931216i \(0.999704\pi\)
\(992\) −17.1421 4.15862i −0.544262 0.132036i
\(993\) 4.55482 + 3.94677i 0.144543 + 0.125247i
\(994\) −82.3719 + 48.4428i −2.61268 + 1.53651i
\(995\) 12.3557 + 14.2592i 0.391702 + 0.452048i
\(996\) −3.25385 + 8.12772i −0.103102 + 0.257537i
\(997\) 37.4739 9.09107i 1.18681 0.287917i 0.406702 0.913561i \(-0.366679\pi\)
0.780109 + 0.625644i \(0.215164\pi\)
\(998\) −22.7624 11.7348i −0.720530 0.371459i
\(999\) −1.40781 1.10712i −0.0445412 0.0350276i
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.bf.a.19.29 640
7.3 odd 6 inner 483.2.bf.a.157.4 yes 640
23.17 odd 22 inner 483.2.bf.a.40.4 yes 640
161.17 even 66 inner 483.2.bf.a.178.29 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.bf.a.19.29 640 1.1 even 1 trivial
483.2.bf.a.40.4 yes 640 23.17 odd 22 inner
483.2.bf.a.157.4 yes 640 7.3 odd 6 inner
483.2.bf.a.178.29 yes 640 161.17 even 66 inner