Properties

Label 285.2.k.c.77.13
Level $285$
Weight $2$
Character 285.77
Analytic conductor $2.276$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [285,2,Mod(77,285)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(285, base_ring=CyclotomicField(4))
 
chi = DirichletCharacter(H, H._module([2, 1, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("285.77");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 285 = 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 285.k (of order \(4\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.27573645761\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.13
Character \(\chi\) \(=\) 285.77
Dual form 285.2.k.c.248.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.60748 - 1.60748i) q^{2} +(-0.918505 + 1.46845i) q^{3} -3.16797i q^{4} +(-0.294779 + 2.21655i) q^{5} +(0.884027 + 3.83698i) q^{6} +(3.56650 + 3.56650i) q^{7} +(-1.87749 - 1.87749i) q^{8} +(-1.31270 - 2.69756i) q^{9} +O(q^{10})\) \(q+(1.60748 - 1.60748i) q^{2} +(-0.918505 + 1.46845i) q^{3} -3.16797i q^{4} +(-0.294779 + 2.21655i) q^{5} +(0.884027 + 3.83698i) q^{6} +(3.56650 + 3.56650i) q^{7} +(-1.87749 - 1.87749i) q^{8} +(-1.31270 - 2.69756i) q^{9} +(3.08921 + 4.03691i) q^{10} -3.54860i q^{11} +(4.65201 + 2.90979i) q^{12} +(-1.01743 + 1.01743i) q^{13} +11.4661 q^{14} +(-2.98414 - 2.46878i) q^{15} +0.299907 q^{16} +(-0.0645525 + 0.0645525i) q^{17} +(-6.44640 - 2.22613i) q^{18} -1.00000i q^{19} +(7.02197 + 0.933850i) q^{20} +(-8.51307 + 1.96138i) q^{21} +(-5.70429 - 5.70429i) q^{22} +(-3.09903 - 3.09903i) q^{23} +(4.48147 - 1.03252i) q^{24} +(-4.82621 - 1.30679i) q^{25} +3.27099i q^{26} +(5.16695 + 0.550085i) q^{27} +(11.2986 - 11.2986i) q^{28} +0.873658 q^{29} +(-8.76546 + 0.828433i) q^{30} -1.93602 q^{31} +(4.23707 - 4.23707i) q^{32} +(5.21094 + 3.25940i) q^{33} +0.207533i q^{34} +(-8.95666 + 6.85400i) q^{35} +(-8.54578 + 4.15859i) q^{36} +(1.47870 + 1.47870i) q^{37} +(-1.60748 - 1.60748i) q^{38} +(-0.559532 - 2.42856i) q^{39} +(4.71499 - 3.60810i) q^{40} -8.53257i q^{41} +(-10.5317 + 16.8375i) q^{42} +(-4.61880 + 4.61880i) q^{43} -11.2419 q^{44} +(6.36624 - 2.11448i) q^{45} -9.96325 q^{46} +(4.86805 - 4.86805i) q^{47} +(-0.275466 + 0.440399i) q^{48} +18.4398i q^{49} +(-9.85866 + 5.65740i) q^{50} +(-0.0355004 - 0.154084i) q^{51} +(3.22319 + 3.22319i) q^{52} +(0.315361 + 0.315361i) q^{53} +(9.19001 - 7.42151i) q^{54} +(7.86565 + 1.04605i) q^{55} -13.3921i q^{56} +(1.46845 + 0.918505i) q^{57} +(1.40439 - 1.40439i) q^{58} -13.1184 q^{59} +(-7.82103 + 9.45368i) q^{60} +5.71358 q^{61} +(-3.11212 + 3.11212i) q^{62} +(4.93910 - 14.3026i) q^{63} -13.0222i q^{64} +(-1.95527 - 2.55510i) q^{65} +(13.6159 - 3.13706i) q^{66} +(-8.04520 - 8.04520i) q^{67} +(0.204500 + 0.204500i) q^{68} +(7.39725 - 1.70430i) q^{69} +(-3.37997 + 25.4153i) q^{70} -5.53300i q^{71} +(-2.60005 + 7.52920i) q^{72} +(9.31370 - 9.31370i) q^{73} +4.75395 q^{74} +(6.35185 - 5.88677i) q^{75} -3.16797 q^{76} +(12.6561 - 12.6561i) q^{77} +(-4.80329 - 3.00442i) q^{78} -0.183486i q^{79} +(-0.0884063 + 0.664760i) q^{80} +(-5.55364 + 7.08216i) q^{81} +(-13.7159 - 13.7159i) q^{82} +(2.39122 + 2.39122i) q^{83} +(6.21361 + 26.9692i) q^{84} +(-0.124055 - 0.162113i) q^{85} +14.8492i q^{86} +(-0.802459 + 1.28292i) q^{87} +(-6.66244 + 6.66244i) q^{88} -10.4502 q^{89} +(6.83460 - 13.6326i) q^{90} -7.25732 q^{91} +(-9.81764 + 9.81764i) q^{92} +(1.77825 - 2.84296i) q^{93} -15.6506i q^{94} +(2.21655 + 0.294779i) q^{95} +(2.33016 + 10.1137i) q^{96} +(7.14572 + 7.14572i) q^{97} +(29.6416 + 29.6416i) q^{98} +(-9.57255 + 4.65824i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 2 q^{3} - 12 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 2 q^{3} - 12 q^{6} - 8 q^{10} + 34 q^{12} + 8 q^{13} - 14 q^{15} - 20 q^{16} - 24 q^{18} - 4 q^{21} - 32 q^{22} + 8 q^{25} + 22 q^{27} - 28 q^{28} + 12 q^{30} + 72 q^{31} - 84 q^{36} - 12 q^{37} + 20 q^{40} + 48 q^{42} - 12 q^{43} - 52 q^{45} + 8 q^{46} + 46 q^{48} + 28 q^{51} - 76 q^{52} + 104 q^{55} + 2 q^{57} - 60 q^{58} - 22 q^{60} + 96 q^{61} + 56 q^{63} - 28 q^{66} - 72 q^{67} + 68 q^{70} + 20 q^{72} - 72 q^{73} + 2 q^{75} - 36 q^{76} + 76 q^{78} - 100 q^{81} - 116 q^{82} - 44 q^{85} + 4 q^{87} + 60 q^{88} - 36 q^{90} - 80 q^{91} + 52 q^{93} - 80 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/285\mathbb{Z}\right)^\times\).

\(n\) \(172\) \(191\) \(211\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.60748 1.60748i 1.13666 1.13666i 0.147613 0.989045i \(-0.452841\pi\)
0.989045 0.147613i \(-0.0471591\pi\)
\(3\) −0.918505 + 1.46845i −0.530299 + 0.847811i
\(4\) 3.16797i 1.58398i
\(5\) −0.294779 + 2.21655i −0.131829 + 0.991272i
\(6\) 0.884027 + 3.83698i 0.360903 + 1.56644i
\(7\) 3.56650 + 3.56650i 1.34801 + 1.34801i 0.887821 + 0.460188i \(0.152218\pi\)
0.460188 + 0.887821i \(0.347782\pi\)
\(8\) −1.87749 1.87749i −0.663791 0.663791i
\(9\) −1.31270 2.69756i −0.437566 0.899186i
\(10\) 3.08921 + 4.03691i 0.976894 + 1.27658i
\(11\) 3.54860i 1.06994i −0.844870 0.534971i \(-0.820322\pi\)
0.844870 0.534971i \(-0.179678\pi\)
\(12\) 4.65201 + 2.90979i 1.34292 + 0.839985i
\(13\) −1.01743 + 1.01743i −0.282184 + 0.282184i −0.833980 0.551795i \(-0.813943\pi\)
0.551795 + 0.833980i \(0.313943\pi\)
\(14\) 11.4661 3.06445
\(15\) −2.98414 2.46878i −0.770503 0.637437i
\(16\) 0.299907 0.0749768
\(17\) −0.0645525 + 0.0645525i −0.0156563 + 0.0156563i −0.714892 0.699235i \(-0.753524\pi\)
0.699235 + 0.714892i \(0.253524\pi\)
\(18\) −6.44640 2.22613i −1.51943 0.524704i
\(19\) 1.00000i 0.229416i
\(20\) 7.02197 + 0.933850i 1.57016 + 0.208815i
\(21\) −8.51307 + 1.96138i −1.85771 + 0.428009i
\(22\) −5.70429 5.70429i −1.21616 1.21616i
\(23\) −3.09903 3.09903i −0.646193 0.646193i 0.305878 0.952071i \(-0.401050\pi\)
−0.952071 + 0.305878i \(0.901050\pi\)
\(24\) 4.48147 1.03252i 0.914777 0.210762i
\(25\) −4.82621 1.30679i −0.965242 0.261357i
\(26\) 3.27099i 0.641494i
\(27\) 5.16695 + 0.550085i 0.994381 + 0.105864i
\(28\) 11.2986 11.2986i 2.13523 2.13523i
\(29\) 0.873658 0.162234 0.0811171 0.996705i \(-0.474151\pi\)
0.0811171 + 0.996705i \(0.474151\pi\)
\(30\) −8.76546 + 0.828433i −1.60035 + 0.151250i
\(31\) −1.93602 −0.347720 −0.173860 0.984770i \(-0.555624\pi\)
−0.173860 + 0.984770i \(0.555624\pi\)
\(32\) 4.23707 4.23707i 0.749014 0.749014i
\(33\) 5.21094 + 3.25940i 0.907109 + 0.567389i
\(34\) 0.207533i 0.0355917i
\(35\) −8.95666 + 6.85400i −1.51395 + 1.15854i
\(36\) −8.54578 + 4.15859i −1.42430 + 0.693098i
\(37\) 1.47870 + 1.47870i 0.243097 + 0.243097i 0.818130 0.575033i \(-0.195011\pi\)
−0.575033 + 0.818130i \(0.695011\pi\)
\(38\) −1.60748 1.60748i −0.260767 0.260767i
\(39\) −0.559532 2.42856i −0.0895969 0.388881i
\(40\) 4.71499 3.60810i 0.745505 0.570491i
\(41\) 8.53257i 1.33256i −0.745700 0.666282i \(-0.767885\pi\)
0.745700 0.666282i \(-0.232115\pi\)
\(42\) −10.5317 + 16.8375i −1.62508 + 2.59808i
\(43\) −4.61880 + 4.61880i −0.704360 + 0.704360i −0.965343 0.260983i \(-0.915953\pi\)
0.260983 + 0.965343i \(0.415953\pi\)
\(44\) −11.2419 −1.69477
\(45\) 6.36624 2.11448i 0.949022 0.315209i
\(46\) −9.96325 −1.46900
\(47\) 4.86805 4.86805i 0.710077 0.710077i −0.256474 0.966551i \(-0.582561\pi\)
0.966551 + 0.256474i \(0.0825607\pi\)
\(48\) −0.275466 + 0.440399i −0.0397601 + 0.0635662i
\(49\) 18.4398i 2.63426i
\(50\) −9.85866 + 5.65740i −1.39422 + 0.800077i
\(51\) −0.0355004 0.154084i −0.00497106 0.0215761i
\(52\) 3.22319 + 3.22319i 0.446976 + 0.446976i
\(53\) 0.315361 + 0.315361i 0.0433181 + 0.0433181i 0.728434 0.685116i \(-0.240248\pi\)
−0.685116 + 0.728434i \(0.740248\pi\)
\(54\) 9.19001 7.42151i 1.25060 1.00994i
\(55\) 7.86565 + 1.04605i 1.06060 + 0.141050i
\(56\) 13.3921i 1.78959i
\(57\) 1.46845 + 0.918505i 0.194501 + 0.121659i
\(58\) 1.40439 1.40439i 0.184405 0.184405i
\(59\) −13.1184 −1.70788 −0.853938 0.520374i \(-0.825792\pi\)
−0.853938 + 0.520374i \(0.825792\pi\)
\(60\) −7.82103 + 9.45368i −1.00969 + 1.22046i
\(61\) 5.71358 0.731549 0.365774 0.930704i \(-0.380804\pi\)
0.365774 + 0.930704i \(0.380804\pi\)
\(62\) −3.11212 + 3.11212i −0.395239 + 0.395239i
\(63\) 4.93910 14.3026i 0.622268 1.80196i
\(64\) 13.0222i 1.62777i
\(65\) −1.95527 2.55510i −0.242521 0.316922i
\(66\) 13.6159 3.13706i 1.67600 0.386145i
\(67\) −8.04520 8.04520i −0.982877 0.982877i 0.0169786 0.999856i \(-0.494595\pi\)
−0.999856 + 0.0169786i \(0.994595\pi\)
\(68\) 0.204500 + 0.204500i 0.0247993 + 0.0247993i
\(69\) 7.39725 1.70430i 0.890525 0.205174i
\(70\) −3.37997 + 25.4153i −0.403984 + 3.03771i
\(71\) 5.53300i 0.656646i −0.944565 0.328323i \(-0.893517\pi\)
0.944565 0.328323i \(-0.106483\pi\)
\(72\) −2.60005 + 7.52920i −0.306419 + 0.887325i
\(73\) 9.31370 9.31370i 1.09009 1.09009i 0.0945679 0.995518i \(-0.469853\pi\)
0.995518 0.0945679i \(-0.0301469\pi\)
\(74\) 4.75395 0.552636
\(75\) 6.35185 5.88677i 0.733448 0.679745i
\(76\) −3.16797 −0.363391
\(77\) 12.6561 12.6561i 1.44229 1.44229i
\(78\) −4.80329 3.00442i −0.543866 0.340184i
\(79\) 0.183486i 0.0206438i −0.999947 0.0103219i \(-0.996714\pi\)
0.999947 0.0103219i \(-0.00328561\pi\)
\(80\) −0.0884063 + 0.664760i −0.00988413 + 0.0743225i
\(81\) −5.55364 + 7.08216i −0.617071 + 0.786907i
\(82\) −13.7159 13.7159i −1.51467 1.51467i
\(83\) 2.39122 + 2.39122i 0.262470 + 0.262470i 0.826057 0.563587i \(-0.190579\pi\)
−0.563587 + 0.826057i \(0.690579\pi\)
\(84\) 6.21361 + 26.9692i 0.677960 + 2.94258i
\(85\) −0.124055 0.162113i −0.0134557 0.0175836i
\(86\) 14.8492i 1.60123i
\(87\) −0.802459 + 1.28292i −0.0860326 + 0.137544i
\(88\) −6.66244 + 6.66244i −0.710219 + 0.710219i
\(89\) −10.4502 −1.10771 −0.553857 0.832612i \(-0.686845\pi\)
−0.553857 + 0.832612i \(0.686845\pi\)
\(90\) 6.83460 13.6326i 0.720430 1.43700i
\(91\) −7.25732 −0.760774
\(92\) −9.81764 + 9.81764i −1.02356 + 1.02356i
\(93\) 1.77825 2.84296i 0.184396 0.294801i
\(94\) 15.6506i 1.61423i
\(95\) 2.21655 + 0.294779i 0.227413 + 0.0302437i
\(96\) 2.33016 + 10.1137i 0.237821 + 1.03222i
\(97\) 7.14572 + 7.14572i 0.725538 + 0.725538i 0.969728 0.244189i \(-0.0785218\pi\)
−0.244189 + 0.969728i \(0.578522\pi\)
\(98\) 29.6416 + 29.6416i 2.99425 + 2.99425i
\(99\) −9.57255 + 4.65824i −0.962078 + 0.468171i
\(100\) −4.13986 + 15.2893i −0.413986 + 1.52893i
\(101\) 16.9614i 1.68772i 0.536565 + 0.843859i \(0.319722\pi\)
−0.536565 + 0.843859i \(0.680278\pi\)
\(102\) −0.304753 0.190620i −0.0301750 0.0188742i
\(103\) −3.63559 + 3.63559i −0.358225 + 0.358225i −0.863158 0.504933i \(-0.831517\pi\)
0.504933 + 0.863158i \(0.331517\pi\)
\(104\) 3.82042 0.374623
\(105\) −1.83804 19.4479i −0.179374 1.89792i
\(106\) 1.01387 0.0984758
\(107\) −3.84264 + 3.84264i −0.371482 + 0.371482i −0.868017 0.496535i \(-0.834605\pi\)
0.496535 + 0.868017i \(0.334605\pi\)
\(108\) 1.74265 16.3688i 0.167687 1.57508i
\(109\) 4.64843i 0.445239i −0.974905 0.222619i \(-0.928539\pi\)
0.974905 0.222619i \(-0.0714607\pi\)
\(110\) 14.3254 10.9624i 1.36587 1.04522i
\(111\) −3.52959 + 0.813206i −0.335014 + 0.0771861i
\(112\) 1.06962 + 1.06962i 0.101069 + 0.101069i
\(113\) −3.71350 3.71350i −0.349337 0.349337i 0.510526 0.859863i \(-0.329451\pi\)
−0.859863 + 0.510526i \(0.829451\pi\)
\(114\) 3.83698 0.884027i 0.359366 0.0827968i
\(115\) 7.78270 5.95564i 0.725740 0.555366i
\(116\) 2.76772i 0.256976i
\(117\) 4.08015 + 1.40900i 0.377210 + 0.130262i
\(118\) −21.0876 + 21.0876i −1.94127 + 1.94127i
\(119\) −0.460453 −0.0422096
\(120\) 0.967585 + 10.2378i 0.0883280 + 0.934578i
\(121\) −1.59255 −0.144777
\(122\) 9.18445 9.18445i 0.831521 0.831521i
\(123\) 12.5297 + 7.83720i 1.12976 + 0.706657i
\(124\) 6.13327i 0.550784i
\(125\) 4.31922 10.3123i 0.386323 0.922363i
\(126\) −15.0516 30.9306i −1.34090 2.75551i
\(127\) −3.21609 3.21609i −0.285382 0.285382i 0.549869 0.835251i \(-0.314678\pi\)
−0.835251 + 0.549869i \(0.814678\pi\)
\(128\) −12.4587 12.4587i −1.10120 1.10120i
\(129\) −2.54009 11.0249i −0.223643 0.970685i
\(130\) −7.25032 0.964219i −0.635895 0.0845676i
\(131\) 10.6589i 0.931272i 0.884976 + 0.465636i \(0.154174\pi\)
−0.884976 + 0.465636i \(0.845826\pi\)
\(132\) 10.3257 16.5081i 0.898736 1.43685i
\(133\) 3.56650 3.56650i 0.309255 0.309255i
\(134\) −25.8650 −2.23439
\(135\) −2.74240 + 11.2907i −0.236028 + 0.971746i
\(136\) 0.242393 0.0207850
\(137\) 10.6481 10.6481i 0.909729 0.909729i −0.0865211 0.996250i \(-0.527575\pi\)
0.996250 + 0.0865211i \(0.0275750\pi\)
\(138\) 9.15129 14.6305i 0.779010 1.24543i
\(139\) 1.73788i 0.147405i −0.997280 0.0737025i \(-0.976518\pi\)
0.997280 0.0737025i \(-0.0234815\pi\)
\(140\) 21.7133 + 28.3744i 1.83511 + 2.39808i
\(141\) 2.67717 + 11.6198i 0.225458 + 0.978565i
\(142\) −8.89417 8.89417i −0.746382 0.746382i
\(143\) 3.61045 + 3.61045i 0.301921 + 0.301921i
\(144\) −0.393688 0.809018i −0.0328073 0.0674181i
\(145\) −0.257536 + 1.93651i −0.0213872 + 0.160818i
\(146\) 29.9431i 2.47811i
\(147\) −27.0780 16.9371i −2.23335 1.39694i
\(148\) 4.68447 4.68447i 0.385061 0.385061i
\(149\) 14.6859 1.20312 0.601559 0.798828i \(-0.294546\pi\)
0.601559 + 0.798828i \(0.294546\pi\)
\(150\) 0.747606 19.6733i 0.0610418 1.60632i
\(151\) 15.6207 1.27120 0.635599 0.772019i \(-0.280753\pi\)
0.635599 + 0.772019i \(0.280753\pi\)
\(152\) −1.87749 + 1.87749i −0.152284 + 0.152284i
\(153\) 0.258872 + 0.0893961i 0.0209286 + 0.00722725i
\(154\) 40.6887i 3.27879i
\(155\) 0.570699 4.29130i 0.0458397 0.344686i
\(156\) −7.69360 + 1.77258i −0.615981 + 0.141920i
\(157\) 2.40972 + 2.40972i 0.192317 + 0.192317i 0.796696 0.604380i \(-0.206579\pi\)
−0.604380 + 0.796696i \(0.706579\pi\)
\(158\) −0.294949 0.294949i −0.0234649 0.0234649i
\(159\) −0.752752 + 0.173432i −0.0596971 + 0.0137540i
\(160\) 8.14268 + 10.6407i 0.643735 + 0.841219i
\(161\) 22.1054i 1.74215i
\(162\) 2.45706 + 20.3118i 0.193045 + 1.59584i
\(163\) −12.0783 + 12.0783i −0.946045 + 0.946045i −0.998617 0.0525724i \(-0.983258\pi\)
0.0525724 + 0.998617i \(0.483258\pi\)
\(164\) −27.0309 −2.11076
\(165\) −8.76072 + 10.5895i −0.682021 + 0.824394i
\(166\) 7.68766 0.596678
\(167\) −14.0129 + 14.0129i −1.08435 + 1.08435i −0.0882490 + 0.996098i \(0.528127\pi\)
−0.996098 + 0.0882490i \(0.971873\pi\)
\(168\) 19.6656 + 12.3007i 1.51724 + 0.949020i
\(169\) 10.9297i 0.840744i
\(170\) −0.460009 0.0611765i −0.0352811 0.00469202i
\(171\) −2.69756 + 1.31270i −0.206287 + 0.100385i
\(172\) 14.6322 + 14.6322i 1.11570 + 1.11570i
\(173\) 16.3760 + 16.3760i 1.24505 + 1.24505i 0.957881 + 0.287165i \(0.0927128\pi\)
0.287165 + 0.957881i \(0.407287\pi\)
\(174\) 0.772337 + 3.35221i 0.0585508 + 0.254130i
\(175\) −12.5520 21.8733i −0.948844 1.65347i
\(176\) 1.06425i 0.0802209i
\(177\) 12.0494 19.2638i 0.905685 1.44796i
\(178\) −16.7984 + 16.7984i −1.25909 + 1.25909i
\(179\) −3.22850 −0.241309 −0.120655 0.992695i \(-0.538499\pi\)
−0.120655 + 0.992695i \(0.538499\pi\)
\(180\) −6.69862 20.1680i −0.499286 1.50324i
\(181\) −10.9309 −0.812490 −0.406245 0.913764i \(-0.633162\pi\)
−0.406245 + 0.913764i \(0.633162\pi\)
\(182\) −11.6660 + 11.6660i −0.864740 + 0.864740i
\(183\) −5.24795 + 8.39011i −0.387939 + 0.620215i
\(184\) 11.6368i 0.857874i
\(185\) −3.71350 + 2.84172i −0.273022 + 0.208928i
\(186\) −1.71150 7.42848i −0.125493 0.544683i
\(187\) 0.229071 + 0.229071i 0.0167513 + 0.0167513i
\(188\) −15.4218 15.4218i −1.12475 1.12475i
\(189\) 16.4661 + 20.3898i 1.19773 + 1.48314i
\(190\) 4.03691 3.08921i 0.292868 0.224115i
\(191\) 0.996691i 0.0721181i 0.999350 + 0.0360590i \(0.0114804\pi\)
−0.999350 + 0.0360590i \(0.988520\pi\)
\(192\) 19.1224 + 11.9609i 1.38004 + 0.863205i
\(193\) 16.1735 16.1735i 1.16419 1.16419i 0.180645 0.983548i \(-0.442182\pi\)
0.983548 0.180645i \(-0.0578185\pi\)
\(194\) 22.9732 1.64938
\(195\) 5.54797 0.524345i 0.397298 0.0375491i
\(196\) 58.4168 4.17263
\(197\) −14.2913 + 14.2913i −1.01821 + 1.01821i −0.0183800 + 0.999831i \(0.505851\pi\)
−0.999831 + 0.0183800i \(0.994149\pi\)
\(198\) −7.89964 + 22.8757i −0.561403 + 1.62570i
\(199\) 14.5347i 1.03034i −0.857089 0.515168i \(-0.827729\pi\)
0.857089 0.515168i \(-0.172271\pi\)
\(200\) 6.60767 + 11.5146i 0.467233 + 0.814206i
\(201\) 19.2035 4.42443i 1.35451 0.312075i
\(202\) 27.2650 + 27.2650i 1.91836 + 1.91836i
\(203\) 3.11590 + 3.11590i 0.218693 + 0.218693i
\(204\) −0.488133 + 0.112464i −0.0341762 + 0.00787408i
\(205\) 18.9129 + 2.51522i 1.32093 + 0.175671i
\(206\) 11.6882i 0.814359i
\(207\) −4.29172 + 12.4279i −0.298295 + 0.863800i
\(208\) −0.305135 + 0.305135i −0.0211573 + 0.0211573i
\(209\) −3.54860 −0.245462
\(210\) −34.2166 28.3074i −2.36117 1.95340i
\(211\) −2.47411 −0.170325 −0.0851625 0.996367i \(-0.527141\pi\)
−0.0851625 + 0.996367i \(0.527141\pi\)
\(212\) 0.999053 0.999053i 0.0686152 0.0686152i
\(213\) 8.12494 + 5.08208i 0.556712 + 0.348219i
\(214\) 12.3539i 0.844496i
\(215\) −8.87628 11.5993i −0.605358 0.791068i
\(216\) −8.66810 10.7337i −0.589790 0.730333i
\(217\) −6.90483 6.90483i −0.468730 0.468730i
\(218\) −7.47225 7.47225i −0.506085 0.506085i
\(219\) 5.12204 + 22.2314i 0.346115 + 1.50226i
\(220\) 3.31386 24.9182i 0.223420 1.67998i
\(221\) 0.131355i 0.00883591i
\(222\) −4.36653 + 6.98095i −0.293062 + 0.468530i
\(223\) −1.37488 + 1.37488i −0.0920687 + 0.0920687i −0.751641 0.659572i \(-0.770737\pi\)
0.659572 + 0.751641i \(0.270737\pi\)
\(224\) 30.2230 2.01936
\(225\) 2.81023 + 14.7344i 0.187349 + 0.982293i
\(226\) −11.9387 −0.794154
\(227\) −11.7268 + 11.7268i −0.778338 + 0.778338i −0.979548 0.201210i \(-0.935513\pi\)
0.201210 + 0.979548i \(0.435513\pi\)
\(228\) 2.90979 4.65201i 0.192706 0.308087i
\(229\) 1.88331i 0.124452i −0.998062 0.0622262i \(-0.980180\pi\)
0.998062 0.0622262i \(-0.0198200\pi\)
\(230\) 2.93696 22.0841i 0.193657 1.45618i
\(231\) 6.96017 + 30.2095i 0.457945 + 1.98764i
\(232\) −1.64028 1.64028i −0.107690 0.107690i
\(233\) 16.4370 + 16.4370i 1.07682 + 1.07682i 0.996792 + 0.0800326i \(0.0255025\pi\)
0.0800326 + 0.996792i \(0.474498\pi\)
\(234\) 8.82369 4.29383i 0.576823 0.280696i
\(235\) 9.35528 + 12.2253i 0.610271 + 0.797489i
\(236\) 41.5588i 2.70525i
\(237\) 0.269440 + 0.168532i 0.0175020 + 0.0109474i
\(238\) −0.740168 + 0.740168i −0.0479779 + 0.0479779i
\(239\) −11.9040 −0.770008 −0.385004 0.922915i \(-0.625800\pi\)
−0.385004 + 0.922915i \(0.625800\pi\)
\(240\) −0.894967 0.740406i −0.0577698 0.0477930i
\(241\) −21.1051 −1.35950 −0.679748 0.733446i \(-0.737911\pi\)
−0.679748 + 0.733446i \(0.737911\pi\)
\(242\) −2.55999 + 2.55999i −0.164562 + 0.164562i
\(243\) −5.29877 14.6603i −0.339916 0.940456i
\(244\) 18.1004i 1.15876i
\(245\) −40.8728 5.43567i −2.61127 0.347272i
\(246\) 32.7393 7.54302i 2.08738 0.480926i
\(247\) 1.01743 + 1.01743i 0.0647375 + 0.0647375i
\(248\) 3.63486 + 3.63486i 0.230814 + 0.230814i
\(249\) −5.70773 + 1.31504i −0.361713 + 0.0833375i
\(250\) −9.63380 23.5199i −0.609295 1.48753i
\(251\) 16.5365i 1.04377i −0.853015 0.521887i \(-0.825228\pi\)
0.853015 0.521887i \(-0.174772\pi\)
\(252\) −45.3101 15.6469i −2.85427 0.985663i
\(253\) −10.9972 + 10.9972i −0.691389 + 0.691389i
\(254\) −10.3396 −0.648764
\(255\) 0.352000 0.0332679i 0.0220431 0.00208332i
\(256\) −14.0099 −0.875616
\(257\) −10.1608 + 10.1608i −0.633811 + 0.633811i −0.949022 0.315211i \(-0.897925\pi\)
0.315211 + 0.949022i \(0.397925\pi\)
\(258\) −21.8054 13.6391i −1.35754 0.849132i
\(259\) 10.5476i 0.655393i
\(260\) −8.09449 + 6.19423i −0.501999 + 0.384150i
\(261\) −1.14685 2.35674i −0.0709882 0.145879i
\(262\) 17.1339 + 17.1339i 1.05854 + 1.05854i
\(263\) −0.187090 0.187090i −0.0115365 0.0115365i 0.701315 0.712851i \(-0.252597\pi\)
−0.712851 + 0.701315i \(0.752597\pi\)
\(264\) −3.66399 15.9030i −0.225503 0.978759i
\(265\) −0.791975 + 0.606052i −0.0486507 + 0.0372295i
\(266\) 11.4661i 0.703034i
\(267\) 9.59851 15.3455i 0.587419 0.939132i
\(268\) −25.4869 + 25.4869i −1.55686 + 1.55686i
\(269\) −21.4772 −1.30949 −0.654745 0.755850i \(-0.727224\pi\)
−0.654745 + 0.755850i \(0.727224\pi\)
\(270\) 13.7412 + 22.5579i 0.836260 + 1.37283i
\(271\) 24.9071 1.51300 0.756499 0.653995i \(-0.226908\pi\)
0.756499 + 0.653995i \(0.226908\pi\)
\(272\) −0.0193598 + 0.0193598i −0.00117386 + 0.00117386i
\(273\) 6.66588 10.6570i 0.403438 0.644992i
\(274\) 34.2332i 2.06810i
\(275\) −4.63726 + 17.1263i −0.279637 + 1.03275i
\(276\) −5.39918 23.4343i −0.324992 1.41058i
\(277\) −4.51206 4.51206i −0.271104 0.271104i 0.558441 0.829544i \(-0.311400\pi\)
−0.829544 + 0.558441i \(0.811400\pi\)
\(278\) −2.79360 2.79360i −0.167549 0.167549i
\(279\) 2.54142 + 5.22254i 0.152151 + 0.312665i
\(280\) 29.6843 + 3.94771i 1.77398 + 0.235921i
\(281\) 11.7602i 0.701554i 0.936459 + 0.350777i \(0.114083\pi\)
−0.936459 + 0.350777i \(0.885917\pi\)
\(282\) 22.9821 + 14.3751i 1.36856 + 0.856025i
\(283\) −1.47705 + 1.47705i −0.0878016 + 0.0878016i −0.749643 0.661842i \(-0.769775\pi\)
0.661842 + 0.749643i \(0.269775\pi\)
\(284\) −17.5284 −1.04012
\(285\) −2.46878 + 2.98414i −0.146238 + 0.176765i
\(286\) 11.6074 0.686362
\(287\) 30.4314 30.4314i 1.79631 1.79631i
\(288\) −16.9917 5.86774i −1.00125 0.345760i
\(289\) 16.9917i 0.999510i
\(290\) 2.69891 + 3.52688i 0.158486 + 0.207105i
\(291\) −17.0565 + 3.92977i −0.999871 + 0.230367i
\(292\) −29.5055 29.5055i −1.72668 1.72668i
\(293\) 2.31859 + 2.31859i 0.135454 + 0.135454i 0.771583 0.636129i \(-0.219465\pi\)
−0.636129 + 0.771583i \(0.719465\pi\)
\(294\) −70.7532 + 16.3013i −4.12641 + 0.950711i
\(295\) 3.86704 29.0777i 0.225148 1.69297i
\(296\) 5.55247i 0.322731i
\(297\) 1.95203 18.3354i 0.113268 1.06393i
\(298\) 23.6073 23.6073i 1.36753 1.36753i
\(299\) 6.30609 0.364691
\(300\) −18.6491 20.1225i −1.07671 1.16177i
\(301\) −32.9459 −1.89897
\(302\) 25.1100 25.1100i 1.44492 1.44492i
\(303\) −24.9069 15.5791i −1.43087 0.894995i
\(304\) 0.299907i 0.0172009i
\(305\) −1.68424 + 12.6644i −0.0964394 + 0.725164i
\(306\) 0.559833 0.272429i 0.0320036 0.0155737i
\(307\) 2.10524 + 2.10524i 0.120152 + 0.120152i 0.764626 0.644474i \(-0.222924\pi\)
−0.644474 + 0.764626i \(0.722924\pi\)
\(308\) −40.0940 40.0940i −2.28457 2.28457i
\(309\) −1.99938 8.67798i −0.113741 0.493673i
\(310\) −5.98078 7.81556i −0.339686 0.443894i
\(311\) 1.73269i 0.0982518i −0.998793 0.0491259i \(-0.984356\pi\)
0.998793 0.0491259i \(-0.0156436\pi\)
\(312\) −3.50907 + 5.61010i −0.198662 + 0.317609i
\(313\) 4.72622 4.72622i 0.267142 0.267142i −0.560806 0.827947i \(-0.689509\pi\)
0.827947 + 0.560806i \(0.189509\pi\)
\(314\) 7.74715 0.437197
\(315\) 30.2465 + 15.1639i 1.70420 + 0.854387i
\(316\) −0.581277 −0.0326994
\(317\) −3.31051 + 3.31051i −0.185937 + 0.185937i −0.793937 0.608000i \(-0.791972\pi\)
0.608000 + 0.793937i \(0.291972\pi\)
\(318\) −0.931245 + 1.48882i −0.0522216 + 0.0834889i
\(319\) 3.10026i 0.173581i
\(320\) 28.8643 + 3.83866i 1.61356 + 0.214587i
\(321\) −2.11325 9.17220i −0.117950 0.511942i
\(322\) −35.5339 35.5339i −1.98023 1.98023i
\(323\) 0.0645525 + 0.0645525i 0.00359180 + 0.00359180i
\(324\) 22.4361 + 17.5938i 1.24645 + 0.977432i
\(325\) 6.23989 3.58077i 0.346127 0.198625i
\(326\) 38.8312i 2.15066i
\(327\) 6.82599 + 4.26960i 0.377478 + 0.236110i
\(328\) −16.0198 + 16.0198i −0.884544 + 0.884544i
\(329\) 34.7238 1.91438
\(330\) 2.93978 + 31.1051i 0.161829 + 1.71228i
\(331\) −23.4231 −1.28745 −0.643724 0.765258i \(-0.722612\pi\)
−0.643724 + 0.765258i \(0.722612\pi\)
\(332\) 7.57531 7.57531i 0.415749 0.415749i
\(333\) 2.04779 5.92996i 0.112218 0.324960i
\(334\) 45.0507i 2.46507i
\(335\) 20.2042 15.4610i 1.10387 0.844727i
\(336\) −2.55313 + 0.588234i −0.139285 + 0.0320908i
\(337\) −2.55535 2.55535i −0.139199 0.139199i 0.634074 0.773273i \(-0.281382\pi\)
−0.773273 + 0.634074i \(0.781382\pi\)
\(338\) 17.5692 + 17.5692i 0.955639 + 0.955639i
\(339\) 8.86397 2.04223i 0.481425 0.110919i
\(340\) −0.513568 + 0.393003i −0.0278521 + 0.0213136i
\(341\) 6.87017i 0.372041i
\(342\) −2.22613 + 6.44640i −0.120375 + 0.348581i
\(343\) −40.8001 + 40.8001i −2.20300 + 2.20300i
\(344\) 17.3434 0.935096
\(345\) 1.59712 + 16.8988i 0.0859862 + 0.909800i
\(346\) 52.6482 2.83038
\(347\) −2.96993 + 2.96993i −0.159434 + 0.159434i −0.782316 0.622882i \(-0.785962\pi\)
0.622882 + 0.782316i \(0.285962\pi\)
\(348\) 4.06426 + 2.54216i 0.217867 + 0.136274i
\(349\) 20.2189i 1.08229i 0.840928 + 0.541147i \(0.182010\pi\)
−0.840928 + 0.541147i \(0.817990\pi\)
\(350\) −55.3380 14.9838i −2.95794 0.800917i
\(351\) −5.81668 + 4.69734i −0.310472 + 0.250725i
\(352\) −15.0356 15.0356i −0.801402 0.801402i
\(353\) 3.50583 + 3.50583i 0.186597 + 0.186597i 0.794223 0.607626i \(-0.207878\pi\)
−0.607626 + 0.794223i \(0.707878\pi\)
\(354\) −11.5971 50.3352i −0.616377 2.67529i
\(355\) 12.2642 + 1.63101i 0.650915 + 0.0865651i
\(356\) 33.1058i 1.75460i
\(357\) 0.422928 0.676152i 0.0223837 0.0357858i
\(358\) −5.18974 + 5.18974i −0.274286 + 0.274286i
\(359\) 9.00584 0.475310 0.237655 0.971350i \(-0.423621\pi\)
0.237655 + 0.971350i \(0.423621\pi\)
\(360\) −15.9224 7.98260i −0.839186 0.420720i
\(361\) −1.00000 −0.0526316
\(362\) −17.5712 + 17.5712i −0.923524 + 0.923524i
\(363\) 1.46276 2.33858i 0.0767752 0.122744i
\(364\) 22.9910i 1.20505i
\(365\) 17.8988 + 23.3898i 0.936867 + 1.22428i
\(366\) 5.05096 + 21.9229i 0.264018 + 1.14593i
\(367\) −6.46735 6.46735i −0.337593 0.337593i 0.517868 0.855461i \(-0.326726\pi\)
−0.855461 + 0.517868i \(0.826726\pi\)
\(368\) −0.929422 0.929422i −0.0484495 0.0484495i
\(369\) −23.0171 + 11.2007i −1.19822 + 0.583085i
\(370\) −1.40136 + 10.5374i −0.0728535 + 0.547812i
\(371\) 2.24947i 0.116786i
\(372\) −9.00640 5.63343i −0.466960 0.292080i
\(373\) 11.7410 11.7410i 0.607924 0.607924i −0.334479 0.942403i \(-0.608560\pi\)
0.942403 + 0.334479i \(0.108560\pi\)
\(374\) 0.736453 0.0380811
\(375\) 11.1759 + 15.8145i 0.577123 + 0.816657i
\(376\) −18.2794 −0.942687
\(377\) −0.888885 + 0.888885i −0.0457799 + 0.0457799i
\(378\) 59.2450 + 6.30735i 3.04723 + 0.324415i
\(379\) 2.62237i 0.134702i 0.997729 + 0.0673511i \(0.0214548\pi\)
−0.997729 + 0.0673511i \(0.978545\pi\)
\(380\) 0.933850 7.02197i 0.0479055 0.360220i
\(381\) 7.67668 1.76868i 0.393288 0.0906123i
\(382\) 1.60216 + 1.60216i 0.0819736 + 0.0819736i
\(383\) −13.3605 13.3605i −0.682688 0.682688i 0.277917 0.960605i \(-0.410356\pi\)
−0.960605 + 0.277917i \(0.910356\pi\)
\(384\) 29.7384 6.85163i 1.51758 0.349646i
\(385\) 24.3221 + 31.7836i 1.23957 + 1.61984i
\(386\) 51.9971i 2.64658i
\(387\) 18.5226 + 6.39639i 0.941555 + 0.325147i
\(388\) 22.6374 22.6374i 1.14924 1.14924i
\(389\) 22.2767 1.12947 0.564736 0.825271i \(-0.308978\pi\)
0.564736 + 0.825271i \(0.308978\pi\)
\(390\) 8.07536 9.76111i 0.408912 0.494273i
\(391\) 0.400100 0.0202340
\(392\) 34.6205 34.6205i 1.74860 1.74860i
\(393\) −15.6521 9.79024i −0.789542 0.493852i
\(394\) 45.9458i 2.31472i
\(395\) 0.406706 + 0.0540877i 0.0204636 + 0.00272145i
\(396\) 14.7572 + 30.3256i 0.741576 + 1.52392i
\(397\) 0.833181 + 0.833181i 0.0418162 + 0.0418162i 0.727706 0.685890i \(-0.240587\pi\)
−0.685890 + 0.727706i \(0.740587\pi\)
\(398\) −23.3642 23.3642i −1.17114 1.17114i
\(399\) 1.96138 + 8.51307i 0.0981920 + 0.426187i
\(400\) −1.44742 0.391915i −0.0723708 0.0195957i
\(401\) 12.4405i 0.621247i 0.950533 + 0.310623i \(0.100538\pi\)
−0.950533 + 0.310623i \(0.899462\pi\)
\(402\) 23.7571 37.9814i 1.18490 1.89434i
\(403\) 1.96977 1.96977i 0.0981212 0.0981212i
\(404\) 53.7331 2.67332
\(405\) −14.0609 14.3976i −0.698691 0.715423i
\(406\) 10.0175 0.497159
\(407\) 5.24731 5.24731i 0.260099 0.260099i
\(408\) −0.222639 + 0.355942i −0.0110223 + 0.0176218i
\(409\) 13.6708i 0.675975i −0.941151 0.337988i \(-0.890254\pi\)
0.941151 0.337988i \(-0.109746\pi\)
\(410\) 34.4452 26.3589i 1.70113 1.30177i
\(411\) 5.85589 + 25.4166i 0.288850 + 1.25371i
\(412\) 11.5174 + 11.5174i 0.567423 + 0.567423i
\(413\) −46.7869 46.7869i −2.30223 2.30223i
\(414\) 13.0787 + 26.8764i 0.642785 + 1.32091i
\(415\) −6.00514 + 4.59538i −0.294781 + 0.225578i
\(416\) 8.62183i 0.422720i
\(417\) 2.55199 + 1.59625i 0.124972 + 0.0781687i
\(418\) −5.70429 + 5.70429i −0.279006 + 0.279006i
\(419\) −5.81286 −0.283977 −0.141988 0.989868i \(-0.545350\pi\)
−0.141988 + 0.989868i \(0.545350\pi\)
\(420\) −61.6102 + 5.82285i −3.00627 + 0.284126i
\(421\) −13.0887 −0.637905 −0.318952 0.947771i \(-0.603331\pi\)
−0.318952 + 0.947771i \(0.603331\pi\)
\(422\) −3.97708 + 3.97708i −0.193601 + 0.193601i
\(423\) −19.5221 6.74156i −0.949198 0.327786i
\(424\) 1.18417i 0.0575084i
\(425\) 0.395900 0.227188i 0.0192040 0.0110202i
\(426\) 21.2300 4.89132i 1.02860 0.236985i
\(427\) 20.3775 + 20.3775i 0.986135 + 0.986135i
\(428\) 12.1734 + 12.1734i 0.588421 + 0.588421i
\(429\) −8.61798 + 1.98556i −0.416080 + 0.0958635i
\(430\) −32.9141 4.37724i −1.58726 0.211089i
\(431\) 36.2427i 1.74575i −0.487945 0.872874i \(-0.662253\pi\)
0.487945 0.872874i \(-0.337747\pi\)
\(432\) 1.54961 + 0.164975i 0.0745555 + 0.00793734i
\(433\) 10.9672 10.9672i 0.527051 0.527051i −0.392641 0.919692i \(-0.628439\pi\)
0.919692 + 0.392641i \(0.128439\pi\)
\(434\) −22.1987 −1.06557
\(435\) −2.60712 2.15687i −0.125002 0.103414i
\(436\) −14.7261 −0.705252
\(437\) −3.09903 + 3.09903i −0.148247 + 0.148247i
\(438\) 43.9700 + 27.5029i 2.10097 + 1.31414i
\(439\) 7.75520i 0.370135i −0.982726 0.185068i \(-0.940750\pi\)
0.982726 0.185068i \(-0.0592504\pi\)
\(440\) −12.8037 16.7316i −0.610393 0.797648i
\(441\) 49.7425 24.2059i 2.36869 1.15266i
\(442\) −0.211151 0.211151i −0.0100434 0.0100434i
\(443\) 0.143842 + 0.143842i 0.00683416 + 0.00683416i 0.710516 0.703681i \(-0.248462\pi\)
−0.703681 + 0.710516i \(0.748462\pi\)
\(444\) 2.57621 + 11.1816i 0.122262 + 0.530657i
\(445\) 3.08048 23.1633i 0.146029 1.09805i
\(446\) 4.42018i 0.209301i
\(447\) −13.4891 + 21.5656i −0.638012 + 1.02002i
\(448\) 46.4435 46.4435i 2.19425 2.19425i
\(449\) 15.8569 0.748333 0.374166 0.927362i \(-0.377929\pi\)
0.374166 + 0.927362i \(0.377929\pi\)
\(450\) 28.2026 + 19.1678i 1.32948 + 0.903581i
\(451\) −30.2787 −1.42577
\(452\) −11.7643 + 11.7643i −0.553344 + 0.553344i
\(453\) −14.3477 + 22.9383i −0.674115 + 1.07774i
\(454\) 37.7013i 1.76941i
\(455\) 2.13931 16.0862i 0.100292 0.754134i
\(456\) −1.03252 4.48147i −0.0483520 0.209864i
\(457\) −5.52858 5.52858i −0.258616 0.258616i 0.565875 0.824491i \(-0.308538\pi\)
−0.824491 + 0.565875i \(0.808538\pi\)
\(458\) −3.02738 3.02738i −0.141460 0.141460i
\(459\) −0.369049 + 0.298030i −0.0172257 + 0.0139109i
\(460\) −18.8673 24.6553i −0.879692 1.14956i
\(461\) 11.8143i 0.550249i −0.961409 0.275124i \(-0.911281\pi\)
0.961409 0.275124i \(-0.0887190\pi\)
\(462\) 59.7494 + 37.3728i 2.77979 + 1.73874i
\(463\) 22.7325 22.7325i 1.05647 1.05647i 0.0581629 0.998307i \(-0.481476\pi\)
0.998307 0.0581629i \(-0.0185243\pi\)
\(464\) 0.262016 0.0121638
\(465\) 5.77738 + 4.77962i 0.267919 + 0.221650i
\(466\) 52.8443 2.44796
\(467\) −12.4870 + 12.4870i −0.577827 + 0.577827i −0.934304 0.356477i \(-0.883978\pi\)
0.356477 + 0.934304i \(0.383978\pi\)
\(468\) 4.46366 12.9258i 0.206333 0.597496i
\(469\) 57.3864i 2.64986i
\(470\) 34.6903 + 4.61345i 1.60014 + 0.212803i
\(471\) −5.75190 + 1.32522i −0.265033 + 0.0610628i
\(472\) 24.6297 + 24.6297i 1.13367 + 1.13367i
\(473\) 16.3903 + 16.3903i 0.753625 + 0.753625i
\(474\) 0.704031 0.162206i 0.0323372 0.00745039i
\(475\) −1.30679 + 4.82621i −0.0599594 + 0.221442i
\(476\) 1.45870i 0.0668594i
\(477\) 0.436730 1.26468i 0.0199965 0.0579056i
\(478\) −19.1355 + 19.1355i −0.875237 + 0.875237i
\(479\) −31.7255 −1.44958 −0.724788 0.688972i \(-0.758062\pi\)
−0.724788 + 0.688972i \(0.758062\pi\)
\(480\) −23.1044 + 2.18362i −1.05457 + 0.0996683i
\(481\) −3.00894 −0.137196
\(482\) −33.9259 + 33.9259i −1.54528 + 1.54528i
\(483\) 32.4607 + 20.3039i 1.47701 + 0.923859i
\(484\) 5.04515i 0.229325i
\(485\) −17.9453 + 13.7325i −0.814853 + 0.623559i
\(486\) −32.0837 15.0484i −1.45535 0.682608i
\(487\) −1.79553 1.79553i −0.0813630 0.0813630i 0.665254 0.746617i \(-0.268323\pi\)
−0.746617 + 0.665254i \(0.768323\pi\)
\(488\) −10.7272 10.7272i −0.485596 0.485596i
\(489\) −6.64242 28.8303i −0.300381 1.30375i
\(490\) −74.4399 + 56.9645i −3.36285 + 2.57339i
\(491\) 11.2401i 0.507257i −0.967302 0.253629i \(-0.918376\pi\)
0.967302 0.253629i \(-0.0816241\pi\)
\(492\) 24.8280 39.6936i 1.11933 1.78953i
\(493\) −0.0563968 + 0.0563968i −0.00253998 + 0.00253998i
\(494\) 3.27099 0.147169
\(495\) −7.50345 22.5912i −0.337255 1.01540i
\(496\) −0.580628 −0.0260710
\(497\) 19.7334 19.7334i 0.885165 0.885165i
\(498\) −7.06115 + 11.2890i −0.316418 + 0.505870i
\(499\) 19.0175i 0.851339i −0.904879 0.425670i \(-0.860039\pi\)
0.904879 0.425670i \(-0.139961\pi\)
\(500\) −32.6692 13.6832i −1.46101 0.611930i
\(501\) −7.70633 33.4481i −0.344293 1.49435i
\(502\) −26.5820 26.5820i −1.18641 1.18641i
\(503\) 9.02312 + 9.02312i 0.402321 + 0.402321i 0.879050 0.476729i \(-0.158178\pi\)
−0.476729 + 0.879050i \(0.658178\pi\)
\(504\) −36.1260 + 17.5798i −1.60918 + 0.783066i
\(505\) −37.5957 4.99985i −1.67299 0.222490i
\(506\) 35.3556i 1.57175i
\(507\) −16.0497 10.0390i −0.712792 0.445846i
\(508\) −10.1885 + 10.1885i −0.452041 + 0.452041i
\(509\) −3.77483 −0.167316 −0.0836581 0.996495i \(-0.526660\pi\)
−0.0836581 + 0.996495i \(0.526660\pi\)
\(510\) 0.512355 0.619310i 0.0226874 0.0274235i
\(511\) 66.4346 2.93889
\(512\) 2.39687 2.39687i 0.105928 0.105928i
\(513\) 0.550085 5.16695i 0.0242868 0.228127i
\(514\) 32.6664i 1.44085i
\(515\) −6.98677 9.13016i −0.307874 0.402323i
\(516\) −34.9264 + 8.04694i −1.53755 + 0.354247i
\(517\) −17.2747 17.2747i −0.759742 0.759742i
\(518\) 16.9550 + 16.9550i 0.744958 + 0.744958i
\(519\) −39.0889 + 9.00594i −1.71581 + 0.395317i
\(520\) −1.12618 + 8.46816i −0.0493862 + 0.371353i
\(521\) 6.36433i 0.278826i −0.990234 0.139413i \(-0.955478\pi\)
0.990234 0.139413i \(-0.0445216\pi\)
\(522\) −5.63195 1.94488i −0.246504 0.0851249i
\(523\) −18.7190 + 18.7190i −0.818523 + 0.818523i −0.985894 0.167371i \(-0.946472\pi\)
0.167371 + 0.985894i \(0.446472\pi\)
\(524\) 33.7671 1.47512
\(525\) 43.6490 + 1.65871i 1.90500 + 0.0723919i
\(526\) −0.601486 −0.0262260
\(527\) 0.124975 0.124975i 0.00544401 0.00544401i
\(528\) 1.56280 + 0.977519i 0.0680121 + 0.0425411i
\(529\) 3.79200i 0.164870i
\(530\) −0.298868 + 2.24730i −0.0129820 + 0.0976164i
\(531\) 17.2206 + 35.3878i 0.747309 + 1.53570i
\(532\) −11.2986 11.2986i −0.489855 0.489855i
\(533\) 8.68129 + 8.68129i 0.376028 + 0.376028i
\(534\) −9.23822 40.0970i −0.399777 1.73517i
\(535\) −7.38468 9.65013i −0.319267 0.417212i
\(536\) 30.2095i 1.30485i
\(537\) 2.96539 4.74089i 0.127966 0.204585i
\(538\) −34.5242 + 34.5242i −1.48844 + 1.48844i
\(539\) 65.4355 2.81851
\(540\) 35.7685 + 8.68784i 1.53923 + 0.373865i
\(541\) 10.7907 0.463930 0.231965 0.972724i \(-0.425485\pi\)
0.231965 + 0.972724i \(0.425485\pi\)
\(542\) 40.0376 40.0376i 1.71976 1.71976i
\(543\) 10.0401 16.0516i 0.430863 0.688838i
\(544\) 0.547026i 0.0234536i
\(545\) 10.3035 + 1.37026i 0.441353 + 0.0586955i
\(546\) −6.41567 27.8462i −0.274565 1.19171i
\(547\) 8.86492 + 8.86492i 0.379037 + 0.379037i 0.870755 0.491718i \(-0.163631\pi\)
−0.491718 + 0.870755i \(0.663631\pi\)
\(548\) −33.7329 33.7329i −1.44100 1.44100i
\(549\) −7.50021 15.4127i −0.320101 0.657799i
\(550\) 20.0758 + 34.9844i 0.856036 + 1.49174i
\(551\) 0.873658i 0.0372191i
\(552\) −17.0880 10.6884i −0.727315 0.454930i
\(553\) 0.654402 0.654402i 0.0278280 0.0278280i
\(554\) −14.5061 −0.616304
\(555\) −0.762065 8.06323i −0.0323479 0.342265i
\(556\) −5.50555 −0.233487
\(557\) −31.1605 + 31.1605i −1.32031 + 1.32031i −0.406793 + 0.913520i \(0.633353\pi\)
−0.913520 + 0.406793i \(0.866647\pi\)
\(558\) 12.4804 + 4.30984i 0.528337 + 0.182450i
\(559\) 9.39860i 0.397519i
\(560\) −2.68617 + 2.05557i −0.113511 + 0.0868635i
\(561\) −0.546782 + 0.125977i −0.0230852 + 0.00531875i
\(562\) 18.9043 + 18.9043i 0.797428 + 0.797428i
\(563\) −1.40399 1.40399i −0.0591711 0.0591711i 0.676902 0.736073i \(-0.263322\pi\)
−0.736073 + 0.676902i \(0.763322\pi\)
\(564\) 36.8112 8.48118i 1.55003 0.357122i
\(565\) 9.32584 7.13651i 0.392341 0.300235i
\(566\) 4.74866i 0.199601i
\(567\) −45.0656 + 5.45147i −1.89258 + 0.228940i
\(568\) −10.3881 + 10.3881i −0.435876 + 0.435876i
\(569\) −11.0999 −0.465331 −0.232666 0.972557i \(-0.574745\pi\)
−0.232666 + 0.972557i \(0.574745\pi\)
\(570\) 0.828433 + 8.76546i 0.0346992 + 0.367145i
\(571\) −0.297740 −0.0124600 −0.00623002 0.999981i \(-0.501983\pi\)
−0.00623002 + 0.999981i \(0.501983\pi\)
\(572\) 11.4378 11.4378i 0.478238 0.478238i
\(573\) −1.46359 0.915466i −0.0611425 0.0382441i
\(574\) 97.8356i 4.08358i
\(575\) 10.9068 + 19.0064i 0.454845 + 0.792620i
\(576\) −35.1280 + 17.0942i −1.46367 + 0.712257i
\(577\) −12.1011 12.1011i −0.503775 0.503775i 0.408834 0.912609i \(-0.365936\pi\)
−0.912609 + 0.408834i \(0.865936\pi\)
\(578\) 27.3137 + 27.3137i 1.13610 + 1.13610i
\(579\) 8.89456 + 38.6054i 0.369645 + 1.60439i
\(580\) 6.13480 + 0.815866i 0.254734 + 0.0338770i
\(581\) 17.0566i 0.707625i
\(582\) −21.1010 + 33.7350i −0.874664 + 1.39836i
\(583\) 1.11909 1.11909i 0.0463479 0.0463479i
\(584\) −34.9727 −1.44718
\(585\) −4.32586 + 8.62854i −0.178852 + 0.356746i
\(586\) 7.45417 0.307929
\(587\) 4.73444 4.73444i 0.195411 0.195411i −0.602618 0.798030i \(-0.705876\pi\)
0.798030 + 0.602618i \(0.205876\pi\)
\(588\) −53.6561 + 85.7822i −2.21274 + 3.53760i
\(589\) 1.93602i 0.0797725i
\(590\) −40.5256 52.9580i −1.66841 2.18025i
\(591\) −7.85944 34.1126i −0.323294 1.40321i
\(592\) 0.443473 + 0.443473i 0.0182266 + 0.0182266i
\(593\) 18.2525 + 18.2525i 0.749539 + 0.749539i 0.974393 0.224854i \(-0.0721904\pi\)
−0.224854 + 0.974393i \(0.572190\pi\)
\(594\) −26.3360 32.6117i −1.08058 1.33807i
\(595\) 0.135732 1.02062i 0.00556446 0.0418412i
\(596\) 46.5246i 1.90572i
\(597\) 21.3435 + 13.3502i 0.873530 + 0.546386i
\(598\) 10.1369 10.1369i 0.414529 0.414529i
\(599\) 27.4645 1.12217 0.561084 0.827759i \(-0.310385\pi\)
0.561084 + 0.827759i \(0.310385\pi\)
\(600\) −22.9778 0.873181i −0.938066 0.0356475i
\(601\) 26.4109 1.07732 0.538661 0.842523i \(-0.318930\pi\)
0.538661 + 0.842523i \(0.318930\pi\)
\(602\) −52.9597 + 52.9597i −2.15848 + 2.15848i
\(603\) −11.1415 + 32.2633i −0.453716 + 1.31386i
\(604\) 49.4860i 2.01356i
\(605\) 0.469450 3.52997i 0.0190859 0.143514i
\(606\) −65.0804 + 14.9943i −2.64371 + 0.609102i
\(607\) 17.8294 + 17.8294i 0.723673 + 0.723673i 0.969351 0.245678i \(-0.0790107\pi\)
−0.245678 + 0.969351i \(0.579011\pi\)
\(608\) −4.23707 4.23707i −0.171836 0.171836i
\(609\) −7.43751 + 1.71358i −0.301383 + 0.0694377i
\(610\) 17.6504 + 23.0652i 0.714645 + 0.933883i
\(611\) 9.90579i 0.400745i
\(612\) 0.283204 0.820099i 0.0114479 0.0331505i
\(613\) −10.4315 + 10.4315i −0.421325 + 0.421325i −0.885660 0.464335i \(-0.846293\pi\)
0.464335 + 0.885660i \(0.346293\pi\)
\(614\) 6.76825 0.273144
\(615\) −21.0650 + 25.4624i −0.849425 + 1.02674i
\(616\) −47.5232 −1.91476
\(617\) 9.47125 9.47125i 0.381298 0.381298i −0.490272 0.871570i \(-0.663102\pi\)
0.871570 + 0.490272i \(0.163102\pi\)
\(618\) −17.1636 10.7357i −0.690422 0.431853i
\(619\) 42.4162i 1.70485i −0.522847 0.852426i \(-0.675130\pi\)
0.522847 0.852426i \(-0.324870\pi\)
\(620\) −13.5947 1.80796i −0.545977 0.0726093i
\(621\) −14.3078 17.7173i −0.574153 0.710970i
\(622\) −2.78526 2.78526i −0.111679 0.111679i
\(623\) −37.2704 37.2704i −1.49321 1.49321i
\(624\) −0.167808 0.728343i −0.00671769 0.0291570i
\(625\) 21.5846 + 12.6136i 0.863385 + 0.504546i
\(626\) 15.1946i 0.607298i
\(627\) 3.25940 5.21094i 0.130168 0.208105i
\(628\) 7.63392 7.63392i 0.304627 0.304627i
\(629\) −0.190907 −0.00761198
\(630\) 72.9961 24.2449i 2.90823 0.965942i
\(631\) −5.54311 −0.220668 −0.110334 0.993895i \(-0.535192\pi\)
−0.110334 + 0.993895i \(0.535192\pi\)
\(632\) −0.344492 + 0.344492i −0.0137031 + 0.0137031i
\(633\) 2.27248 3.63312i 0.0903232 0.144403i
\(634\) 10.6431i 0.422693i
\(635\) 8.07668 6.18061i 0.320513 0.245270i
\(636\) 0.549426 + 2.38470i 0.0217862 + 0.0945593i
\(637\) −18.7612 18.7612i −0.743347 0.743347i
\(638\) −4.98360 4.98360i −0.197303 0.197303i
\(639\) −14.9256 + 7.26316i −0.590447 + 0.287326i
\(640\) 31.2879 23.9428i 1.23676 0.946423i
\(641\) 29.2915i 1.15694i −0.815702 0.578472i \(-0.803649\pi\)
0.815702 0.578472i \(-0.196351\pi\)
\(642\) −18.1411 11.3471i −0.715972 0.447835i
\(643\) 24.5856 24.5856i 0.969562 0.969562i −0.0299885 0.999550i \(-0.509547\pi\)
0.999550 + 0.0299885i \(0.00954708\pi\)
\(644\) −70.0292 −2.75954
\(645\) 25.1860 2.38035i 0.991696 0.0937263i
\(646\) 0.207533 0.00816529
\(647\) 9.68797 9.68797i 0.380873 0.380873i −0.490543 0.871417i \(-0.663202\pi\)
0.871417 + 0.490543i \(0.163202\pi\)
\(648\) 23.7235 2.86978i 0.931949 0.112735i
\(649\) 46.5521i 1.82733i
\(650\) 4.27448 15.7865i 0.167659 0.619197i
\(651\) 16.4815 3.79729i 0.645962 0.148827i
\(652\) 38.2637 + 38.2637i 1.49852 + 1.49852i
\(653\) −11.8114 11.8114i −0.462214 0.462214i 0.437167 0.899381i \(-0.355982\pi\)
−0.899381 + 0.437167i \(0.855982\pi\)
\(654\) 17.8359 4.10934i 0.697440 0.160688i
\(655\) −23.6260 3.14202i −0.923144 0.122769i
\(656\) 2.55898i 0.0999114i
\(657\) −37.3503 12.8982i −1.45718 0.503205i
\(658\) 55.8177 55.8177i 2.17600 2.17600i
\(659\) 25.8540 1.00713 0.503565 0.863957i \(-0.332021\pi\)
0.503565 + 0.863957i \(0.332021\pi\)
\(660\) 33.5473 + 27.7537i 1.30583 + 1.08031i
\(661\) −12.0405 −0.468323 −0.234161 0.972198i \(-0.575234\pi\)
−0.234161 + 0.972198i \(0.575234\pi\)
\(662\) −37.6521 + 37.6521i −1.46339 + 1.46339i
\(663\) 0.192889 + 0.120650i 0.00749118 + 0.00468567i
\(664\) 8.97896i 0.348451i
\(665\) 6.85400 + 8.95666i 0.265787 + 0.347324i
\(666\) −6.24051 12.8241i −0.241815 0.496922i
\(667\) −2.70749 2.70749i −0.104835 0.104835i
\(668\) 44.3923 + 44.3923i 1.71759 + 1.71759i
\(669\) −0.756111 3.28178i −0.0292329 0.126881i
\(670\) 7.62444 57.3310i 0.294558 2.21489i
\(671\) 20.2752i 0.782715i
\(672\) −27.7599 + 44.3810i −1.07086 + 1.71203i
\(673\) 25.5292 25.5292i 0.984080 0.984080i −0.0157953 0.999875i \(-0.505028\pi\)
0.999875 + 0.0157953i \(0.00502801\pi\)
\(674\) −8.21533 −0.316443
\(675\) −24.2180 9.40693i −0.932150 0.362073i
\(676\) 34.6249 1.33173
\(677\) 0.525982 0.525982i 0.0202151 0.0202151i −0.696927 0.717142i \(-0.745450\pi\)
0.717142 + 0.696927i \(0.245450\pi\)
\(678\) 10.9658 17.5315i 0.421139 0.673292i
\(679\) 50.9704i 1.95607i
\(680\) −0.0714523 + 0.537276i −0.00274007 + 0.0206036i
\(681\) −6.44914 27.9914i −0.247132 1.07263i
\(682\) 11.0437 + 11.0437i 0.422883 + 0.422883i
\(683\) 15.4135 + 15.4135i 0.589783 + 0.589783i 0.937572 0.347790i \(-0.113068\pi\)
−0.347790 + 0.937572i \(0.613068\pi\)
\(684\) 4.15859 + 8.54578i 0.159008 + 0.326756i
\(685\) 20.4632 + 26.7409i 0.781861 + 1.02172i
\(686\) 131.171i 5.00811i
\(687\) 2.76555 + 1.72983i 0.105512 + 0.0659970i
\(688\) −1.38521 + 1.38521i −0.0528107 + 0.0528107i
\(689\) −0.641715 −0.0244474
\(690\) 29.7318 + 24.5971i 1.13187 + 0.936395i
\(691\) 16.9760 0.645798 0.322899 0.946433i \(-0.395343\pi\)
0.322899 + 0.946433i \(0.395343\pi\)
\(692\) 51.8788 51.8788i 1.97213 1.97213i
\(693\) −50.7541 17.5269i −1.92799 0.665791i
\(694\) 9.54818i 0.362444i
\(695\) 3.85210 + 0.512290i 0.146119 + 0.0194323i
\(696\) 3.91528 0.902067i 0.148408 0.0341928i
\(697\) 0.550799 + 0.550799i 0.0208630 + 0.0208630i
\(698\) 32.5015 + 32.5015i 1.23020 + 1.23020i
\(699\) −39.2344 + 9.03949i −1.48398 + 0.341905i
\(700\) −69.2940 + 39.7644i −2.61907 + 1.50295i
\(701\) 21.8595i 0.825622i −0.910817 0.412811i \(-0.864547\pi\)
0.910817 0.412811i \(-0.135453\pi\)
\(702\) −1.79932 + 16.9011i −0.0679111 + 0.637889i
\(703\) 1.47870 1.47870i 0.0557702 0.0557702i
\(704\) −46.2104 −1.74162
\(705\) −26.5451 + 2.50881i −0.999746 + 0.0944871i
\(706\) 11.2711 0.424194
\(707\) −60.4927 + 60.4927i −2.27506 + 2.27506i
\(708\) −61.0271 38.1720i −2.29354 1.43459i
\(709\) 24.8080i 0.931683i −0.884868 0.465841i \(-0.845752\pi\)
0.884868 0.465841i \(-0.154248\pi\)
\(710\) 22.3362 17.0926i 0.838263 0.641473i
\(711\) −0.494963 + 0.240862i −0.0185626 + 0.00903301i
\(712\) 19.6200 + 19.6200i 0.735291 + 0.735291i
\(713\) 5.99980 + 5.99980i 0.224694 + 0.224694i
\(714\) −0.407053 1.76675i −0.0152336 0.0661189i
\(715\) −9.06703 + 6.93847i −0.339088 + 0.259484i
\(716\) 10.2278i 0.382230i
\(717\) 10.9339 17.4805i 0.408335 0.652821i
\(718\) 14.4767 14.4767i 0.540265 0.540265i
\(719\) −21.1007 −0.786924 −0.393462 0.919341i \(-0.628723\pi\)
−0.393462 + 0.919341i \(0.628723\pi\)
\(720\) 1.90928 0.634149i 0.0711547 0.0236333i
\(721\) −25.9326 −0.965781
\(722\) −1.60748 + 1.60748i −0.0598241 + 0.0598241i
\(723\) 19.3851 30.9917i 0.720939 1.15260i
\(724\) 34.6289i 1.28697i
\(725\) −4.21646 1.14168i −0.156595 0.0424011i
\(726\) −1.40786 6.11058i −0.0522505 0.226785i
\(727\) 16.0539 + 16.0539i 0.595405 + 0.595405i 0.939086 0.343681i \(-0.111674\pi\)
−0.343681 + 0.939086i \(0.611674\pi\)
\(728\) 13.6255 + 13.6255i 0.504995 + 0.504995i
\(729\) 26.3948 + 5.68453i 0.977586 + 0.210538i
\(730\) 66.3705 + 8.82660i 2.45648 + 0.326687i
\(731\) 0.596310i 0.0220553i
\(732\) 26.5796 + 16.6253i 0.982411 + 0.614490i
\(733\) 2.77876 2.77876i 0.102636 0.102636i −0.653924 0.756560i \(-0.726878\pi\)
0.756560 + 0.653924i \(0.226878\pi\)
\(734\) −20.7923 −0.767456
\(735\) 45.5239 55.0271i 1.67917 2.02970i
\(736\) −26.2616 −0.968015
\(737\) −28.5492 + 28.5492i −1.05162 + 1.05162i
\(738\) −18.9946 + 55.0043i −0.699201 + 2.02474i
\(739\) 16.0491i 0.590376i −0.955439 0.295188i \(-0.904618\pi\)
0.955439 0.295188i \(-0.0953823\pi\)
\(740\) 9.00250 + 11.7643i 0.330938 + 0.432463i
\(741\) −2.42856 + 0.559532i −0.0892154 + 0.0205549i
\(742\) 3.61597 + 3.61597i 0.132746 + 0.132746i
\(743\) −6.42573 6.42573i −0.235737 0.235737i 0.579345 0.815082i \(-0.303308\pi\)
−0.815082 + 0.579345i \(0.803308\pi\)
\(744\) −8.67624 + 1.99898i −0.318087 + 0.0732861i
\(745\) −4.32910 + 32.5521i −0.158606 + 1.19262i
\(746\) 37.7467i 1.38200i
\(747\) 3.31150 9.58940i 0.121162 0.350858i
\(748\) 0.725690 0.725690i 0.0265338 0.0265338i
\(749\) −27.4095 −1.00152
\(750\) 43.3865 + 7.45638i 1.58425 + 0.272269i
\(751\) −34.2786 −1.25085 −0.625423 0.780286i \(-0.715073\pi\)
−0.625423 + 0.780286i \(0.715073\pi\)
\(752\) 1.45996 1.45996i 0.0532394 0.0532394i
\(753\) 24.2830 + 15.1888i 0.884923 + 0.553512i
\(754\) 2.85773i 0.104072i
\(755\) −4.60466 + 34.6242i −0.167581 + 1.26010i
\(756\) 64.5943 52.1640i 2.34927 1.89718i
\(757\) 32.6787 + 32.6787i 1.18773 + 1.18773i 0.977695 + 0.210032i \(0.0673568\pi\)
0.210032 + 0.977695i \(0.432643\pi\)
\(758\) 4.21541 + 4.21541i 0.153110 + 0.153110i
\(759\) −6.04789 26.2499i −0.219524 0.952810i
\(760\) −3.60810 4.71499i −0.130880 0.171031i
\(761\) 47.6056i 1.72570i 0.505459 + 0.862851i \(0.331323\pi\)
−0.505459 + 0.862851i \(0.668677\pi\)
\(762\) 9.49697 15.1832i 0.344039 0.550029i
\(763\) 16.5786 16.5786i 0.600186 0.600186i
\(764\) 3.15749 0.114234
\(765\) −0.274461 + 0.547452i −0.00992317 + 0.0197932i
\(766\) −42.9533 −1.55197
\(767\) 13.3471 13.3471i 0.481936 0.481936i
\(768\) 12.8681 20.5728i 0.464338 0.742357i
\(769\) 46.5267i 1.67780i 0.544289 + 0.838898i \(0.316800\pi\)
−0.544289 + 0.838898i \(0.683200\pi\)
\(770\) 90.1886 + 11.9942i 3.25017 + 0.432240i
\(771\) −5.58788 24.2533i −0.201242 0.873460i