Properties

Label 416.2.bf.a.53.16
Level $416$
Weight $2$
Character 416.53
Analytic conductor $3.322$
Analytic rank $0$
Dimension $192$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [416,2,Mod(53,416)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(416, base_ring=CyclotomicField(8))
 
chi = DirichletCharacter(H, H._module([0, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("416.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 416 = 2^{5} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 416.bf (of order \(8\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.32177672409\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 53.16
Character \(\chi\) \(=\) 416.53
Dual form 416.2.bf.a.157.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.738912 - 1.20582i) q^{2} +(2.63272 - 1.09051i) q^{3} +(-0.908017 + 1.78199i) q^{4} +(-0.0873689 + 0.210927i) q^{5} +(-3.26031 - 2.36880i) q^{6} +(0.671813 + 0.671813i) q^{7} +(2.81971 - 0.221831i) q^{8} +(3.62067 - 3.62067i) q^{9} +O(q^{10})\) \(q+(-0.738912 - 1.20582i) q^{2} +(2.63272 - 1.09051i) q^{3} +(-0.908017 + 1.78199i) q^{4} +(-0.0873689 + 0.210927i) q^{5} +(-3.26031 - 2.36880i) q^{6} +(0.671813 + 0.671813i) q^{7} +(2.81971 - 0.221831i) q^{8} +(3.62067 - 3.62067i) q^{9} +(0.318899 - 0.0505053i) q^{10} +(1.83927 + 0.761850i) q^{11} +(-0.447274 + 5.68169i) q^{12} +(0.382683 + 0.923880i) q^{13} +(0.313677 - 1.30650i) q^{14} +0.650588i q^{15} +(-2.35101 - 3.23616i) q^{16} -5.13143i q^{17} +(-7.04125 - 1.69053i) q^{18} +(-0.867154 - 2.09349i) q^{19} +(-0.296539 - 0.347216i) q^{20} +(2.50131 + 1.03608i) q^{21} +(-0.440402 - 2.78077i) q^{22} +(1.36720 - 1.36720i) q^{23} +(7.18160 - 3.65894i) q^{24} +(3.49868 + 3.49868i) q^{25} +(0.831265 - 1.14411i) q^{26} +(2.31232 - 5.58243i) q^{27} +(-1.80719 + 0.587150i) q^{28} +(0.698514 - 0.289334i) q^{29} +(0.784494 - 0.480728i) q^{30} -7.92649 q^{31} +(-2.16505 + 5.22614i) q^{32} +5.67308 q^{33} +(-6.18760 + 3.79168i) q^{34} +(-0.200399 + 0.0830081i) q^{35} +(3.16439 + 9.73966i) q^{36} +(-1.86885 + 4.51179i) q^{37} +(-1.88363 + 2.59254i) q^{38} +(2.01499 + 2.01499i) q^{39} +(-0.199565 + 0.614136i) q^{40} +(-3.33035 + 3.33035i) q^{41} +(-0.598925 - 3.78171i) q^{42} +(-0.405115 - 0.167804i) q^{43} +(-3.02770 + 2.58579i) q^{44} +(0.447364 + 1.08003i) q^{45} +(-2.65884 - 0.638360i) q^{46} +8.23786i q^{47} +(-9.71861 - 5.95611i) q^{48} -6.09733i q^{49} +(1.63357 - 6.80400i) q^{50} +(-5.59586 - 13.5096i) q^{51} +(-1.99383 - 0.156958i) q^{52} +(-0.0443521 - 0.0183712i) q^{53} +(-8.44003 + 1.33668i) q^{54} +(-0.321390 + 0.321390i) q^{55} +(2.04335 + 1.74529i) q^{56} +(-4.56594 - 4.56594i) q^{57} +(-0.865026 - 0.628491i) q^{58} +(3.03776 - 7.33381i) q^{59} +(-1.15934 - 0.590745i) q^{60} +(-7.56600 + 3.13394i) q^{61} +(5.85699 + 9.55795i) q^{62} +4.86484 q^{63} +(7.90158 - 1.25100i) q^{64} -0.228306 q^{65} +(-4.19191 - 6.84072i) q^{66} +(-4.60860 + 1.90895i) q^{67} +(9.14418 + 4.65943i) q^{68} +(2.10851 - 5.09040i) q^{69} +(0.248171 + 0.180310i) q^{70} +(6.17364 + 6.17364i) q^{71} +(9.40609 - 11.0124i) q^{72} +(-10.5523 + 10.5523i) q^{73} +(6.82134 - 1.08032i) q^{74} +(13.0264 + 5.39570i) q^{75} +(4.51799 + 0.355665i) q^{76} +(0.723824 + 1.74747i) q^{77} +(0.940822 - 3.91863i) q^{78} -7.43164i q^{79} +(0.888000 - 0.213152i) q^{80} -1.85735i q^{81} +(6.47665 + 1.55498i) q^{82} +(-5.62112 - 13.5706i) q^{83} +(-4.11752 + 3.51655i) q^{84} +(1.08236 + 0.448327i) q^{85} +(0.0970024 + 0.612489i) q^{86} +(1.52347 - 1.52347i) q^{87} +(5.35521 + 1.74019i) q^{88} +(7.95071 + 7.95071i) q^{89} +(0.971765 - 1.33749i) q^{90} +(-0.363583 + 0.877767i) q^{91} +(1.19490 + 3.67779i) q^{92} +(-20.8682 + 8.64390i) q^{93} +(9.93340 - 6.08706i) q^{94} +0.517337 q^{95} +(-0.000811559 + 16.1200i) q^{96} -9.91002 q^{97} +(-7.35230 + 4.50540i) q^{98} +(9.41780 - 3.90098i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 16 q^{10} - 16 q^{12} - 40 q^{16} - 40 q^{18} - 8 q^{22} - 16 q^{23} + 24 q^{24} + 80 q^{30} - 48 q^{31} - 48 q^{35} + 80 q^{36} - 56 q^{38} - 64 q^{40} - 16 q^{43} - 80 q^{44} + 24 q^{50} + 32 q^{51} - 32 q^{53} - 24 q^{54} + 32 q^{55} + 16 q^{56} - 64 q^{58} - 56 q^{60} - 64 q^{61} + 24 q^{62} + 80 q^{63} + 72 q^{64} + 96 q^{66} + 80 q^{67} - 32 q^{68} - 64 q^{69} - 120 q^{72} - 32 q^{74} + 32 q^{75} + 64 q^{76} - 32 q^{77} - 56 q^{80} - 80 q^{82} - 80 q^{83} + 112 q^{84} - 112 q^{87} - 88 q^{88} - 120 q^{90} + 144 q^{92} + 40 q^{94} + 136 q^{96} + 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(287\) \(353\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.738912 1.20582i −0.522490 0.852645i
\(3\) 2.63272 1.09051i 1.52000 0.629605i 0.542409 0.840115i \(-0.317513\pi\)
0.977592 + 0.210510i \(0.0675125\pi\)
\(4\) −0.908017 + 1.78199i −0.454008 + 0.890997i
\(5\) −0.0873689 + 0.210927i −0.0390726 + 0.0943295i −0.942211 0.335020i \(-0.891257\pi\)
0.903139 + 0.429349i \(0.141257\pi\)
\(6\) −3.26031 2.36880i −1.33101 0.967059i
\(7\) 0.671813 + 0.671813i 0.253922 + 0.253922i 0.822576 0.568655i \(-0.192536\pi\)
−0.568655 + 0.822576i \(0.692536\pi\)
\(8\) 2.81971 0.221831i 0.996920 0.0784290i
\(9\) 3.62067 3.62067i 1.20689 1.20689i
\(10\) 0.318899 0.0505053i 0.100845 0.0159712i
\(11\) 1.83927 + 0.761850i 0.554560 + 0.229706i 0.642322 0.766435i \(-0.277971\pi\)
−0.0877615 + 0.996142i \(0.527971\pi\)
\(12\) −0.447274 + 5.68169i −0.129117 + 1.64016i
\(13\) 0.382683 + 0.923880i 0.106137 + 0.256238i
\(14\) 0.313677 1.30650i 0.0838336 0.349177i
\(15\) 0.650588i 0.167981i
\(16\) −2.35101 3.23616i −0.587753 0.809041i
\(17\) 5.13143i 1.24455i −0.782797 0.622277i \(-0.786208\pi\)
0.782797 0.622277i \(-0.213792\pi\)
\(18\) −7.04125 1.69053i −1.65964 0.398462i
\(19\) −0.867154 2.09349i −0.198939 0.480281i 0.792655 0.609670i \(-0.208698\pi\)
−0.991594 + 0.129390i \(0.958698\pi\)
\(20\) −0.296539 0.347216i −0.0663081 0.0776399i
\(21\) 2.50131 + 1.03608i 0.545831 + 0.226091i
\(22\) −0.440402 2.78077i −0.0938941 0.592862i
\(23\) 1.36720 1.36720i 0.285081 0.285081i −0.550050 0.835132i \(-0.685391\pi\)
0.835132 + 0.550050i \(0.185391\pi\)
\(24\) 7.18160 3.65894i 1.46594 0.746877i
\(25\) 3.49868 + 3.49868i 0.699735 + 0.699735i
\(26\) 0.831265 1.14411i 0.163025 0.224379i
\(27\) 2.31232 5.58243i 0.445006 1.07434i
\(28\) −1.80719 + 0.587150i −0.341526 + 0.110961i
\(29\) 0.698514 0.289334i 0.129711 0.0537279i −0.316884 0.948464i \(-0.602637\pi\)
0.446595 + 0.894736i \(0.352637\pi\)
\(30\) 0.784494 0.480728i 0.143228 0.0877684i
\(31\) −7.92649 −1.42364 −0.711820 0.702362i \(-0.752129\pi\)
−0.711820 + 0.702362i \(0.752129\pi\)
\(32\) −2.16505 + 5.22614i −0.382730 + 0.923860i
\(33\) 5.67308 0.987556
\(34\) −6.18760 + 3.79168i −1.06116 + 0.650267i
\(35\) −0.200399 + 0.0830081i −0.0338737 + 0.0140309i
\(36\) 3.16439 + 9.73966i 0.527398 + 1.62328i
\(37\) −1.86885 + 4.51179i −0.307236 + 0.741734i 0.692556 + 0.721364i \(0.256485\pi\)
−0.999793 + 0.0203703i \(0.993515\pi\)
\(38\) −1.88363 + 2.59254i −0.305566 + 0.420566i
\(39\) 2.01499 + 2.01499i 0.322657 + 0.322657i
\(40\) −0.199565 + 0.614136i −0.0315540 + 0.0971034i
\(41\) −3.33035 + 3.33035i −0.520114 + 0.520114i −0.917606 0.397492i \(-0.869881\pi\)
0.397492 + 0.917606i \(0.369881\pi\)
\(42\) −0.598925 3.78171i −0.0924161 0.583531i
\(43\) −0.405115 0.167804i −0.0617794 0.0255899i 0.351580 0.936158i \(-0.385645\pi\)
−0.413359 + 0.910568i \(0.635645\pi\)
\(44\) −3.02770 + 2.58579i −0.456443 + 0.389823i
\(45\) 0.447364 + 1.08003i 0.0666891 + 0.161002i
\(46\) −2.65884 0.638360i −0.392025 0.0941211i
\(47\) 8.23786i 1.20162i 0.799393 + 0.600808i \(0.205154\pi\)
−0.799393 + 0.600808i \(0.794846\pi\)
\(48\) −9.71861 5.95611i −1.40276 0.859690i
\(49\) 6.09733i 0.871048i
\(50\) 1.63357 6.80400i 0.231021 0.962231i
\(51\) −5.59586 13.5096i −0.783578 1.89172i
\(52\) −1.99383 0.156958i −0.276495 0.0217662i
\(53\) −0.0443521 0.0183712i −0.00609223 0.00252348i 0.379635 0.925136i \(-0.376049\pi\)
−0.385727 + 0.922613i \(0.626049\pi\)
\(54\) −8.44003 + 1.33668i −1.14854 + 0.181899i
\(55\) −0.321390 + 0.321390i −0.0433362 + 0.0433362i
\(56\) 2.04335 + 1.74529i 0.273054 + 0.233225i
\(57\) −4.56594 4.56594i −0.604774 0.604774i
\(58\) −0.865026 0.628491i −0.113583 0.0825250i
\(59\) 3.03776 7.33381i 0.395483 0.954781i −0.593240 0.805026i \(-0.702152\pi\)
0.988723 0.149755i \(-0.0478485\pi\)
\(60\) −1.15934 0.590745i −0.149671 0.0762648i
\(61\) −7.56600 + 3.13394i −0.968727 + 0.401260i −0.810238 0.586101i \(-0.800662\pi\)
−0.158489 + 0.987361i \(0.550662\pi\)
\(62\) 5.85699 + 9.55795i 0.743838 + 1.21386i
\(63\) 4.86484 0.612912
\(64\) 7.90158 1.25100i 0.987698 0.156375i
\(65\) −0.228306 −0.0283179
\(66\) −4.19191 6.84072i −0.515988 0.842035i
\(67\) −4.60860 + 1.90895i −0.563031 + 0.233215i −0.646000 0.763337i \(-0.723560\pi\)
0.0829697 + 0.996552i \(0.473560\pi\)
\(68\) 9.14418 + 4.65943i 1.10890 + 0.565038i
\(69\) 2.10851 5.09040i 0.253835 0.612812i
\(70\) 0.248171 + 0.180310i 0.0296621 + 0.0215512i
\(71\) 6.17364 + 6.17364i 0.732676 + 0.732676i 0.971149 0.238473i \(-0.0766469\pi\)
−0.238473 + 0.971149i \(0.576647\pi\)
\(72\) 9.40609 11.0124i 1.10852 1.29783i
\(73\) −10.5523 + 10.5523i −1.23505 + 1.23505i −0.273054 + 0.961999i \(0.588034\pi\)
−0.961999 + 0.273054i \(0.911966\pi\)
\(74\) 6.82134 1.08032i 0.792964 0.125585i
\(75\) 13.0264 + 5.39570i 1.50415 + 0.623041i
\(76\) 4.51799 + 0.355665i 0.518249 + 0.0407976i
\(77\) 0.723824 + 1.74747i 0.0824874 + 0.199142i
\(78\) 0.940822 3.91863i 0.106527 0.443698i
\(79\) 7.43164i 0.836125i −0.908418 0.418062i \(-0.862709\pi\)
0.908418 0.418062i \(-0.137291\pi\)
\(80\) 0.888000 0.213152i 0.0992814 0.0238311i
\(81\) 1.85735i 0.206372i
\(82\) 6.47665 + 1.55498i 0.715227 + 0.171718i
\(83\) −5.62112 13.5706i −0.616999 1.48957i −0.855172 0.518344i \(-0.826549\pi\)
0.238174 0.971223i \(-0.423451\pi\)
\(84\) −4.11752 + 3.51655i −0.449258 + 0.383687i
\(85\) 1.08236 + 0.448327i 0.117398 + 0.0486279i
\(86\) 0.0970024 + 0.612489i 0.0104600 + 0.0660464i
\(87\) 1.52347 1.52347i 0.163333 0.163333i
\(88\) 5.35521 + 1.74019i 0.570868 + 0.185505i
\(89\) 7.95071 + 7.95071i 0.842774 + 0.842774i 0.989219 0.146445i \(-0.0467832\pi\)
−0.146445 + 0.989219i \(0.546783\pi\)
\(90\) 0.971765 1.33749i 0.102433 0.140984i
\(91\) −0.363583 + 0.877767i −0.0381138 + 0.0920149i
\(92\) 1.19490 + 3.67779i 0.124577 + 0.383436i
\(93\) −20.8682 + 8.64390i −2.16393 + 0.896331i
\(94\) 9.93340 6.08706i 1.02455 0.627832i
\(95\) 0.517337 0.0530777
\(96\) −0.000811559 16.1200i −8.28294e−5 1.64524i
\(97\) −9.91002 −1.00621 −0.503105 0.864225i \(-0.667809\pi\)
−0.503105 + 0.864225i \(0.667809\pi\)
\(98\) −7.35230 + 4.50540i −0.742695 + 0.455114i
\(99\) 9.41780 3.90098i 0.946525 0.392063i
\(100\) −9.41148 + 3.05777i −0.941148 + 0.305777i
\(101\) −1.18800 + 2.86808i −0.118210 + 0.285385i −0.971899 0.235399i \(-0.924360\pi\)
0.853688 + 0.520784i \(0.174360\pi\)
\(102\) −12.1553 + 16.7300i −1.20356 + 1.65652i
\(103\) −6.55781 6.55781i −0.646161 0.646161i 0.305902 0.952063i \(-0.401042\pi\)
−0.952063 + 0.305902i \(0.901042\pi\)
\(104\) 1.28400 + 2.52019i 0.125907 + 0.247125i
\(105\) −0.437074 + 0.437074i −0.0426540 + 0.0426540i
\(106\) 0.0106199 + 0.0670555i 0.00103149 + 0.00651301i
\(107\) 17.1236 + 7.09282i 1.65540 + 0.685689i 0.997712 0.0676023i \(-0.0215349\pi\)
0.657687 + 0.753291i \(0.271535\pi\)
\(108\) 7.84824 + 9.18949i 0.755198 + 0.884259i
\(109\) 4.26123 + 10.2875i 0.408152 + 0.985366i 0.985624 + 0.168955i \(0.0540394\pi\)
−0.577472 + 0.816411i \(0.695961\pi\)
\(110\) 0.625018 + 0.150060i 0.0595931 + 0.0143077i
\(111\) 13.9163i 1.32087i
\(112\) 0.594657 3.75354i 0.0561898 0.354676i
\(113\) 9.22581i 0.867892i 0.900939 + 0.433946i \(0.142879\pi\)
−0.900939 + 0.433946i \(0.857121\pi\)
\(114\) −2.13189 + 8.87955i −0.199669 + 0.831646i
\(115\) 0.168929 + 0.407831i 0.0157527 + 0.0380304i
\(116\) −0.118671 + 1.50747i −0.0110183 + 0.139965i
\(117\) 4.73064 + 1.95950i 0.437348 + 0.181155i
\(118\) −11.0879 + 1.75604i −1.02073 + 0.161656i
\(119\) 3.44736 3.44736i 0.316019 0.316019i
\(120\) 0.144320 + 1.83447i 0.0131746 + 0.167464i
\(121\) −4.97568 4.97568i −0.452335 0.452335i
\(122\) 9.36959 + 6.80755i 0.848283 + 0.616327i
\(123\) −5.13610 + 12.3997i −0.463107 + 1.11804i
\(124\) 7.19739 14.1250i 0.646345 1.26846i
\(125\) −2.09828 + 0.869135i −0.187676 + 0.0777378i
\(126\) −3.59469 5.86613i −0.320240 0.522596i
\(127\) 15.0623 1.33657 0.668283 0.743907i \(-0.267030\pi\)
0.668283 + 0.743907i \(0.267030\pi\)
\(128\) −7.34706 8.60353i −0.649394 0.760452i
\(129\) −1.24954 −0.110016
\(130\) 0.168698 + 0.275296i 0.0147958 + 0.0241451i
\(131\) 1.49352 0.618636i 0.130490 0.0540505i −0.316483 0.948598i \(-0.602502\pi\)
0.446973 + 0.894548i \(0.352502\pi\)
\(132\) −5.15125 + 10.1094i −0.448359 + 0.879909i
\(133\) 0.823872 1.98900i 0.0714388 0.172468i
\(134\) 5.70720 + 4.14661i 0.493027 + 0.358213i
\(135\) 0.975462 + 0.975462i 0.0839544 + 0.0839544i
\(136\) −1.13831 14.4692i −0.0976092 1.24072i
\(137\) −3.51518 + 3.51518i −0.300322 + 0.300322i −0.841140 0.540818i \(-0.818115\pi\)
0.540818 + 0.841140i \(0.318115\pi\)
\(138\) −7.69612 + 1.21887i −0.655137 + 0.103757i
\(139\) 10.4035 + 4.30928i 0.882416 + 0.365509i 0.777433 0.628965i \(-0.216521\pi\)
0.104983 + 0.994474i \(0.466521\pi\)
\(140\) 0.0340459 0.432483i 0.00287741 0.0365515i
\(141\) 8.98345 + 21.6880i 0.756543 + 1.82646i
\(142\) 2.88254 12.0061i 0.241897 1.00753i
\(143\) 1.99081i 0.166480i
\(144\) −20.2293 3.20485i −1.68578 0.267071i
\(145\) 0.172614i 0.0143348i
\(146\) 20.5214 + 4.92698i 1.69836 + 0.407759i
\(147\) −6.64919 16.0526i −0.548416 1.32399i
\(148\) −6.34305 7.42706i −0.521395 0.610500i
\(149\) 9.16650 + 3.79689i 0.750949 + 0.311053i 0.725129 0.688613i \(-0.241780\pi\)
0.0258204 + 0.999667i \(0.491780\pi\)
\(150\) −3.11909 19.6944i −0.254672 1.60804i
\(151\) −4.12017 + 4.12017i −0.335295 + 0.335295i −0.854593 0.519298i \(-0.826193\pi\)
0.519298 + 0.854593i \(0.326193\pi\)
\(152\) −2.90953 5.71070i −0.235994 0.463199i
\(153\) −18.5792 18.5792i −1.50204 1.50204i
\(154\) 1.57229 2.16403i 0.126699 0.174382i
\(155\) 0.692529 1.67191i 0.0556253 0.134291i
\(156\) −5.42036 + 1.76106i −0.433976 + 0.140998i
\(157\) −18.2898 + 7.57588i −1.45968 + 0.604621i −0.964480 0.264155i \(-0.914907\pi\)
−0.495204 + 0.868776i \(0.664907\pi\)
\(158\) −8.96124 + 5.49133i −0.712918 + 0.436867i
\(159\) −0.136800 −0.0108490
\(160\) −0.913178 0.913270i −0.0721930 0.0722003i
\(161\) 1.83701 0.144777
\(162\) −2.23964 + 1.37242i −0.175962 + 0.107828i
\(163\) 13.1523 5.44785i 1.03017 0.426709i 0.197394 0.980324i \(-0.436752\pi\)
0.832772 + 0.553615i \(0.186752\pi\)
\(164\) −2.91065 8.95869i −0.227284 0.699556i
\(165\) −0.495650 + 1.19661i −0.0385863 + 0.0931556i
\(166\) −12.2102 + 16.8056i −0.947696 + 1.30436i
\(167\) −14.2228 14.2228i −1.10059 1.10059i −0.994339 0.106256i \(-0.966114\pi\)
−0.106256 0.994339i \(-0.533886\pi\)
\(168\) 7.28282 + 2.36658i 0.561882 + 0.182585i
\(169\) −0.707107 + 0.707107i −0.0543928 + 0.0543928i
\(170\) −0.259164 1.63641i −0.0198770 0.125507i
\(171\) −10.7195 4.44018i −0.819744 0.339549i
\(172\) 0.666877 0.569543i 0.0508489 0.0434273i
\(173\) −3.76802 9.09679i −0.286477 0.691616i 0.713482 0.700673i \(-0.247117\pi\)
−0.999959 + 0.00905708i \(0.997117\pi\)
\(174\) −2.96274 0.711323i −0.224605 0.0539253i
\(175\) 4.70092i 0.355356i
\(176\) −1.85867 7.74329i −0.140102 0.583672i
\(177\) 22.6205i 1.70026i
\(178\) 3.71227 15.4620i 0.278246 1.15893i
\(179\) 2.78119 + 6.71437i 0.207876 + 0.501856i 0.993088 0.117370i \(-0.0374464\pi\)
−0.785213 + 0.619226i \(0.787446\pi\)
\(180\) −2.33083 0.183487i −0.173730 0.0136763i
\(181\) 15.5835 + 6.45491i 1.15831 + 0.479790i 0.877313 0.479918i \(-0.159334\pi\)
0.281001 + 0.959707i \(0.409334\pi\)
\(182\) 1.32709 0.210176i 0.0983702 0.0155793i
\(183\) −16.5016 + 16.5016i −1.21983 + 1.21983i
\(184\) 3.55183 4.15840i 0.261844 0.306562i
\(185\) −0.788381 0.788381i −0.0579629 0.0579629i
\(186\) 25.8428 + 18.7763i 1.89489 + 1.37674i
\(187\) 3.90938 9.43808i 0.285882 0.690180i
\(188\) −14.6798 7.48012i −1.07064 0.545544i
\(189\) 5.30380 2.19691i 0.385795 0.159801i
\(190\) −0.382267 0.623817i −0.0277326 0.0452564i
\(191\) −12.8264 −0.928084 −0.464042 0.885813i \(-0.653601\pi\)
−0.464042 + 0.885813i \(0.653601\pi\)
\(192\) 19.4384 11.9103i 1.40285 0.859549i
\(193\) −5.48258 −0.394645 −0.197323 0.980339i \(-0.563225\pi\)
−0.197323 + 0.980339i \(0.563225\pi\)
\(194\) 7.32264 + 11.9497i 0.525735 + 0.857941i
\(195\) −0.601065 + 0.248969i −0.0430432 + 0.0178291i
\(196\) 10.8654 + 5.53648i 0.776101 + 0.395463i
\(197\) 9.96280 24.0523i 0.709820 1.71366i 0.00936935 0.999956i \(-0.497018\pi\)
0.700451 0.713701i \(-0.252982\pi\)
\(198\) −11.6628 8.47371i −0.828841 0.602201i
\(199\) −18.3814 18.3814i −1.30302 1.30302i −0.926343 0.376682i \(-0.877065\pi\)
−0.376682 0.926343i \(-0.622935\pi\)
\(200\) 10.6414 + 9.08916i 0.752460 + 0.642700i
\(201\) −10.0514 + 10.0514i −0.708973 + 0.708973i
\(202\) 4.33623 0.686746i 0.305096 0.0483193i
\(203\) 0.663649 + 0.274893i 0.0465790 + 0.0192937i
\(204\) 29.1552 + 2.29515i 2.04127 + 0.160693i
\(205\) −0.411493 0.993431i −0.0287399 0.0693842i
\(206\) −3.06191 + 12.7532i −0.213333 + 0.888558i
\(207\) 9.90038i 0.688124i
\(208\) 2.09013 3.41048i 0.144925 0.236474i
\(209\) 4.51114i 0.312042i
\(210\) 0.849993 + 0.204074i 0.0586551 + 0.0140825i
\(211\) −7.96715 19.2344i −0.548481 1.32415i −0.918608 0.395170i \(-0.870686\pi\)
0.370127 0.928981i \(-0.379314\pi\)
\(212\) 0.0730099 0.0623538i 0.00501434 0.00428248i
\(213\) 22.9858 + 9.52105i 1.57496 + 0.652371i
\(214\) −4.10014 25.8890i −0.280280 1.76973i
\(215\) 0.0707888 0.0707888i 0.00482776 0.00482776i
\(216\) 5.28173 16.2538i 0.359376 1.10593i
\(217\) −5.32513 5.32513i −0.361493 0.361493i
\(218\) 9.25625 12.7399i 0.626913 0.862853i
\(219\) −16.2739 + 39.2886i −1.09969 + 2.65488i
\(220\) −0.280887 0.864542i −0.0189374 0.0582874i
\(221\) 4.74082 1.96371i 0.318902 0.132094i
\(222\) 16.7806 10.2829i 1.12624 0.690143i
\(223\) −9.01231 −0.603509 −0.301754 0.953386i \(-0.597572\pi\)
−0.301754 + 0.953386i \(0.597572\pi\)
\(224\) −4.96550 + 2.05649i −0.331771 + 0.137405i
\(225\) 25.3351 1.68901
\(226\) 11.1247 6.81707i 0.740004 0.453465i
\(227\) 5.59803 2.31878i 0.371555 0.153903i −0.189089 0.981960i \(-0.560554\pi\)
0.560644 + 0.828057i \(0.310554\pi\)
\(228\) 12.2824 3.99053i 0.813424 0.264279i
\(229\) 2.60492 6.28883i 0.172138 0.415578i −0.814141 0.580668i \(-0.802792\pi\)
0.986278 + 0.165090i \(0.0527915\pi\)
\(230\) 0.366948 0.505050i 0.0241958 0.0333020i
\(231\) 3.81125 + 3.81125i 0.250762 + 0.250762i
\(232\) 1.90543 0.970791i 0.125097 0.0637355i
\(233\) −1.78229 + 1.78229i −0.116762 + 0.116762i −0.763073 0.646312i \(-0.776311\pi\)
0.646312 + 0.763073i \(0.276311\pi\)
\(234\) −1.13272 7.15221i −0.0740485 0.467554i
\(235\) −1.73759 0.719733i −0.113348 0.0469502i
\(236\) 10.3105 + 12.0725i 0.671154 + 0.785853i
\(237\) −8.10426 19.5654i −0.526428 1.27091i
\(238\) −6.70421 1.60961i −0.434569 0.104336i
\(239\) 6.15982i 0.398446i −0.979954 0.199223i \(-0.936158\pi\)
0.979954 0.199223i \(-0.0638418\pi\)
\(240\) 2.10541 1.52954i 0.135904 0.0987313i
\(241\) 19.0616i 1.22787i 0.789358 + 0.613933i \(0.210413\pi\)
−0.789358 + 0.613933i \(0.789587\pi\)
\(242\) −2.32320 + 9.67639i −0.149341 + 0.622022i
\(243\) 4.91150 + 11.8574i 0.315073 + 0.760654i
\(244\) 1.28539 16.3282i 0.0822888 1.04531i
\(245\) 1.28609 + 0.532717i 0.0821655 + 0.0340341i
\(246\) 18.7469 2.96903i 1.19526 0.189298i
\(247\) 1.60229 1.60229i 0.101951 0.101951i
\(248\) −22.3505 + 1.75834i −1.41926 + 0.111655i
\(249\) −29.5977 29.5977i −1.87568 1.87568i
\(250\) 2.59847 + 1.88794i 0.164341 + 0.119404i
\(251\) 2.66575 6.43569i 0.168261 0.406217i −0.817147 0.576430i \(-0.804445\pi\)
0.985407 + 0.170213i \(0.0544454\pi\)
\(252\) −4.41735 + 8.66911i −0.278267 + 0.546103i
\(253\) 3.55625 1.47305i 0.223580 0.0926097i
\(254\) −11.1297 18.1625i −0.698342 1.13962i
\(255\) 3.33845 0.209062
\(256\) −4.94550 + 15.2165i −0.309094 + 0.951032i
\(257\) −19.4380 −1.21251 −0.606254 0.795271i \(-0.707329\pi\)
−0.606254 + 0.795271i \(0.707329\pi\)
\(258\) 0.923303 + 1.50673i 0.0574823 + 0.0938048i
\(259\) −4.28660 + 1.77557i −0.266356 + 0.110328i
\(260\) 0.207306 0.406840i 0.0128565 0.0252311i
\(261\) 1.48151 3.57668i 0.0917030 0.221391i
\(262\) −1.84955 1.34380i −0.114265 0.0830204i
\(263\) −13.5304 13.5304i −0.834322 0.834322i 0.153782 0.988105i \(-0.450855\pi\)
−0.988105 + 0.153782i \(0.950855\pi\)
\(264\) 15.9965 1.25846i 0.984514 0.0774530i
\(265\) 0.00774999 0.00774999i 0.000476078 0.000476078i
\(266\) −3.00715 + 0.476256i −0.184380 + 0.0292011i
\(267\) 29.6023 + 12.2617i 1.81163 + 0.750402i
\(268\) 0.782958 9.94586i 0.0478268 0.607540i
\(269\) 12.1045 + 29.2229i 0.738026 + 1.78175i 0.613745 + 0.789504i \(0.289662\pi\)
0.124280 + 0.992247i \(0.460338\pi\)
\(270\) 0.455453 1.89702i 0.0277180 0.115449i
\(271\) 21.4018i 1.30007i −0.759905 0.650035i \(-0.774754\pi\)
0.759905 0.650035i \(-0.225246\pi\)
\(272\) −16.6061 + 12.0640i −1.00690 + 0.731490i
\(273\) 2.70740i 0.163859i
\(274\) 6.83609 + 1.64127i 0.412983 + 0.0991529i
\(275\) 3.76954 + 9.10047i 0.227312 + 0.548779i
\(276\) 7.15650 + 8.37952i 0.430771 + 0.504388i
\(277\) −11.0912 4.59412i −0.666405 0.276034i 0.0237257 0.999719i \(-0.492447\pi\)
−0.690131 + 0.723684i \(0.742447\pi\)
\(278\) −2.49107 15.7290i −0.149404 0.943363i
\(279\) −28.6993 + 28.6993i −1.71818 + 1.71818i
\(280\) −0.546655 + 0.278514i −0.0326689 + 0.0166444i
\(281\) −7.45843 7.45843i −0.444933 0.444933i 0.448733 0.893666i \(-0.351875\pi\)
−0.893666 + 0.448733i \(0.851875\pi\)
\(282\) 19.5139 26.8580i 1.16203 1.59937i
\(283\) −7.49625 + 18.0975i −0.445606 + 1.07579i 0.528346 + 0.849029i \(0.322813\pi\)
−0.973951 + 0.226758i \(0.927187\pi\)
\(284\) −16.6072 + 5.39562i −0.985453 + 0.320171i
\(285\) 1.36200 0.564160i 0.0806781 0.0334179i
\(286\) 2.40056 1.47103i 0.141948 0.0869840i
\(287\) −4.47475 −0.264136
\(288\) 11.0832 + 26.7611i 0.653086 + 1.57691i
\(289\) −9.33159 −0.548917
\(290\) 0.208142 0.127547i 0.0122225 0.00748981i
\(291\) −26.0903 + 10.8070i −1.52944 + 0.633515i
\(292\) −9.22247 28.3858i −0.539704 1.66115i
\(293\) 9.01284 21.7589i 0.526536 1.27117i −0.407243 0.913320i \(-0.633510\pi\)
0.933779 0.357850i \(-0.116490\pi\)
\(294\) −14.4434 + 19.8792i −0.842354 + 1.15938i
\(295\) 1.28149 + 1.28149i 0.0746114 + 0.0746114i
\(296\) −4.26876 + 13.1365i −0.248117 + 0.763546i
\(297\) 8.50595 8.50595i 0.493565 0.493565i
\(298\) −2.19487 13.8587i −0.127145 0.802816i
\(299\) 1.78633 + 0.739924i 0.103306 + 0.0427909i
\(300\) −21.4433 + 18.3135i −1.23803 + 1.05733i
\(301\) −0.159428 0.384894i −0.00918930 0.0221849i
\(302\) 8.01264 + 1.92375i 0.461076 + 0.110699i
\(303\) 8.84637i 0.508211i
\(304\) −4.73620 + 7.72808i −0.271640 + 0.443236i
\(305\) 1.86968i 0.107058i
\(306\) −8.67484 + 36.1317i −0.495908 + 2.06551i
\(307\) 2.55687 + 6.17284i 0.145928 + 0.352302i 0.979895 0.199512i \(-0.0639357\pi\)
−0.833967 + 0.551814i \(0.813936\pi\)
\(308\) −3.77122 0.296878i −0.214885 0.0169162i
\(309\) −24.4162 10.1135i −1.38899 0.575338i
\(310\) −2.52775 + 0.400330i −0.143566 + 0.0227372i
\(311\) −17.3286 + 17.3286i −0.982613 + 0.982613i −0.999851 0.0172386i \(-0.994513\pi\)
0.0172386 + 0.999851i \(0.494513\pi\)
\(312\) 6.12870 + 5.23472i 0.346969 + 0.296358i
\(313\) 18.3786 + 18.3786i 1.03882 + 1.03882i 0.999215 + 0.0396055i \(0.0126101\pi\)
0.0396055 + 0.999215i \(0.487390\pi\)
\(314\) 22.6497 + 16.4563i 1.27820 + 0.928685i
\(315\) −0.425035 + 1.02613i −0.0239480 + 0.0578157i
\(316\) 13.2431 + 6.74805i 0.744985 + 0.379608i
\(317\) 20.2952 8.40654i 1.13989 0.472158i 0.268759 0.963207i \(-0.413386\pi\)
0.871132 + 0.491049i \(0.163386\pi\)
\(318\) 0.101084 + 0.164957i 0.00566849 + 0.00925034i
\(319\) 1.50518 0.0842741
\(320\) −0.426483 + 1.77596i −0.0238411 + 0.0992790i
\(321\) 52.8163 2.94792
\(322\) −1.35739 2.21511i −0.0756443 0.123443i
\(323\) −10.7426 + 4.44974i −0.597736 + 0.247590i
\(324\) 3.30979 + 1.68651i 0.183877 + 0.0936948i
\(325\) −1.89347 + 4.57124i −0.105031 + 0.253567i
\(326\) −16.2875 11.8338i −0.902083 0.655416i
\(327\) 22.4372 + 22.4372i 1.24078 + 1.24078i
\(328\) −8.65187 + 10.1294i −0.477720 + 0.559304i
\(329\) −5.53431 + 5.53431i −0.305116 + 0.305116i
\(330\) 1.80914 0.286520i 0.0995897 0.0157724i
\(331\) −16.8220 6.96789i −0.924619 0.382990i −0.130984 0.991384i \(-0.541814\pi\)
−0.793635 + 0.608395i \(0.791814\pi\)
\(332\) 29.2868 + 2.30551i 1.60732 + 0.126532i
\(333\) 9.56925 + 23.1022i 0.524392 + 1.26599i
\(334\) −6.64078 + 27.6596i −0.363367 + 1.51347i
\(335\) 1.13886i 0.0622227i
\(336\) −2.52770 10.5305i −0.137897 0.574485i
\(337\) 2.93346i 0.159796i 0.996803 + 0.0798979i \(0.0254594\pi\)
−0.996803 + 0.0798979i \(0.974541\pi\)
\(338\) 1.37514 + 0.330155i 0.0747975 + 0.0179581i
\(339\) 10.0608 + 24.2890i 0.546429 + 1.31920i
\(340\) −1.78172 + 1.52167i −0.0966272 + 0.0825240i
\(341\) −14.5789 6.03880i −0.789494 0.327019i
\(342\) 2.56673 + 16.2068i 0.138793 + 0.876362i
\(343\) 8.79896 8.79896i 0.475099 0.475099i
\(344\) −1.17953 0.383292i −0.0635961 0.0206657i
\(345\) 0.889485 + 0.889485i 0.0478883 + 0.0478883i
\(346\) −8.18489 + 11.2653i −0.440022 + 0.605626i
\(347\) 7.12807 17.2087i 0.382655 0.923810i −0.608796 0.793327i \(-0.708347\pi\)
0.991451 0.130483i \(-0.0416529\pi\)
\(348\) 1.33148 + 4.09815i 0.0713747 + 0.219684i
\(349\) 19.5834 8.11170i 1.04827 0.434210i 0.208999 0.977916i \(-0.432979\pi\)
0.839276 + 0.543706i \(0.182979\pi\)
\(350\) 5.66847 3.47357i 0.302993 0.185670i
\(351\) 6.04238 0.322519
\(352\) −7.96364 + 7.96284i −0.424463 + 0.424421i
\(353\) −17.5124 −0.932092 −0.466046 0.884760i \(-0.654322\pi\)
−0.466046 + 0.884760i \(0.654322\pi\)
\(354\) −27.2764 + 16.7146i −1.44972 + 0.888371i
\(355\) −1.84157 + 0.762804i −0.0977405 + 0.0404854i
\(356\) −21.3875 + 6.94875i −1.13354 + 0.368283i
\(357\) 5.31656 12.8353i 0.281382 0.679317i
\(358\) 6.04129 8.31495i 0.319292 0.439459i
\(359\) 8.90372 + 8.90372i 0.469920 + 0.469920i 0.901889 0.431968i \(-0.142181\pi\)
−0.431968 + 0.901889i \(0.642181\pi\)
\(360\) 1.50102 + 2.94615i 0.0791109 + 0.155276i
\(361\) 9.80427 9.80427i 0.516014 0.516014i
\(362\) −3.73139 23.5606i −0.196117 1.23832i
\(363\) −18.5256 7.67355i −0.972341 0.402757i
\(364\) −1.23404 1.44493i −0.0646811 0.0757349i
\(365\) −1.30382 3.14771i −0.0682452 0.164759i
\(366\) 32.0912 + 7.70475i 1.67743 + 0.402734i
\(367\) 1.69436i 0.0884449i −0.999022 0.0442224i \(-0.985919\pi\)
0.999022 0.0442224i \(-0.0140810\pi\)
\(368\) −7.63879 1.21018i −0.398199 0.0630850i
\(369\) 24.1162i 1.25544i
\(370\) −0.368103 + 1.53319i −0.0191368 + 0.0797069i
\(371\) −0.0174543 0.0421384i −0.000906181 0.00218772i
\(372\) 3.54531 45.0359i 0.183816 2.33500i
\(373\) 11.3694 + 4.70936i 0.588686 + 0.243842i 0.657085 0.753816i \(-0.271789\pi\)
−0.0683994 + 0.997658i \(0.521789\pi\)
\(374\) −14.2693 + 2.25989i −0.737850 + 0.116856i
\(375\) −4.57637 + 4.57637i −0.236323 + 0.236323i
\(376\) 1.82741 + 23.2284i 0.0942415 + 1.19791i
\(377\) 0.534619 + 0.534619i 0.0275343 + 0.0275343i
\(378\) −6.56813 4.77212i −0.337828 0.245452i
\(379\) 3.23352 7.80640i 0.166095 0.400988i −0.818815 0.574058i \(-0.805369\pi\)
0.984910 + 0.173070i \(0.0553686\pi\)
\(380\) −0.469751 + 0.921892i −0.0240977 + 0.0472921i
\(381\) 39.6548 16.4256i 2.03158 0.841508i
\(382\) 9.47757 + 15.4663i 0.484915 + 0.791327i
\(383\) 13.7920 0.704736 0.352368 0.935862i \(-0.385377\pi\)
0.352368 + 0.935862i \(0.385377\pi\)
\(384\) −28.7249 14.6386i −1.46586 0.747025i
\(385\) −0.431828 −0.0220080
\(386\) 4.05115 + 6.61102i 0.206198 + 0.336492i
\(387\) −2.07435 + 0.859225i −0.105445 + 0.0436768i
\(388\) 8.99847 17.6596i 0.456828 0.896531i
\(389\) −0.0819880 + 0.197937i −0.00415696 + 0.0100358i −0.925944 0.377660i \(-0.876729\pi\)
0.921787 + 0.387696i \(0.126729\pi\)
\(390\) 0.744347 + 0.540811i 0.0376915 + 0.0273850i
\(391\) −7.01570 7.01570i −0.354799 0.354799i
\(392\) −1.35258 17.1927i −0.0683154 0.868365i
\(393\) 3.25739 3.25739i 0.164314 0.164314i
\(394\) −36.3645 + 5.75919i −1.83202 + 0.290144i
\(395\) 1.56753 + 0.649294i 0.0788712 + 0.0326695i
\(396\) −1.59999 + 20.3246i −0.0804028 + 1.02135i
\(397\) −7.21278 17.4132i −0.361999 0.873943i −0.995008 0.0997983i \(-0.968180\pi\)
0.633009 0.774145i \(-0.281820\pi\)
\(398\) −8.58248 + 35.7470i −0.430201 + 1.79184i
\(399\) 6.13492i 0.307130i
\(400\) 3.09686 19.5477i 0.154843 0.977386i
\(401\) 37.7013i 1.88272i −0.337410 0.941358i \(-0.609551\pi\)
0.337410 0.941358i \(-0.390449\pi\)
\(402\) 19.5474 + 4.69312i 0.974934 + 0.234071i
\(403\) −3.03334 7.32313i −0.151101 0.364791i
\(404\) −4.03219 4.72128i −0.200609 0.234892i
\(405\) 0.391766 + 0.162275i 0.0194670 + 0.00806350i
\(406\) −0.158907 1.00336i −0.00788642 0.0497962i
\(407\) −6.87462 + 6.87462i −0.340762 + 0.340762i
\(408\) −18.7756 36.8519i −0.929530 1.82444i
\(409\) 16.0746 + 16.0746i 0.794835 + 0.794835i 0.982276 0.187441i \(-0.0600192\pi\)
−0.187441 + 0.982276i \(0.560019\pi\)
\(410\) −0.893845 + 1.23025i −0.0441438 + 0.0607575i
\(411\) −5.42114 + 13.0878i −0.267405 + 0.645573i
\(412\) 17.6406 5.73138i 0.869090 0.282365i
\(413\) 6.96776 2.88614i 0.342861 0.142018i
\(414\) −11.9381 + 7.31552i −0.586726 + 0.359538i
\(415\) 3.35352 0.164618
\(416\) −5.65685 0.000284794i −0.277350 1.39632e-5i
\(417\) 32.0889 1.57140
\(418\) −5.43963 + 3.33334i −0.266061 + 0.163039i
\(419\) 17.9488 7.43464i 0.876857 0.363206i 0.101580 0.994827i \(-0.467610\pi\)
0.775277 + 0.631621i \(0.217610\pi\)
\(420\) −0.381993 1.17573i −0.0186393 0.0573699i
\(421\) 1.08694 2.62410i 0.0529740 0.127891i −0.895177 0.445711i \(-0.852951\pi\)
0.948151 + 0.317820i \(0.102951\pi\)
\(422\) −17.3063 + 23.8195i −0.842455 + 1.15952i
\(423\) 29.8266 + 29.8266i 1.45022 + 1.45022i
\(424\) −0.129136 0.0419630i −0.00627138 0.00203790i
\(425\) 17.9532 17.9532i 0.870859 0.870859i
\(426\) −5.50383 34.7521i −0.266661 1.68374i
\(427\) −7.18837 2.97752i −0.347869 0.144092i
\(428\) −28.1879 + 24.0737i −1.36251 + 1.16365i
\(429\) 2.17099 + 5.24124i 0.104816 + 0.253049i
\(430\) −0.137666 0.0330520i −0.00663882 0.00159391i
\(431\) 30.9501i 1.49082i −0.666609 0.745408i \(-0.732255\pi\)
0.666609 0.745408i \(-0.267745\pi\)
\(432\) −23.5020 + 5.64132i −1.13074 + 0.271418i
\(433\) 31.0996i 1.49455i 0.664514 + 0.747276i \(0.268639\pi\)
−0.664514 + 0.747276i \(0.731361\pi\)
\(434\) −2.48636 + 10.3560i −0.119349 + 0.497102i
\(435\) 0.188237 + 0.454445i 0.00902528 + 0.0217890i
\(436\) −22.2016 1.74775i −1.06326 0.0837022i
\(437\) −4.04780 1.67665i −0.193633 0.0802053i
\(438\) 59.4000 9.40742i 2.83824 0.449504i
\(439\) 23.3838 23.3838i 1.11605 1.11605i 0.123734 0.992315i \(-0.460513\pi\)
0.992315 0.123734i \(-0.0394869\pi\)
\(440\) −0.834933 + 0.977521i −0.0398039 + 0.0466015i
\(441\) −22.0765 22.0765i −1.05126 1.05126i
\(442\) −5.87094 4.26558i −0.279252 0.202893i
\(443\) 0.213902 0.516404i 0.0101628 0.0245351i −0.918717 0.394917i \(-0.870773\pi\)
0.928879 + 0.370382i \(0.120773\pi\)
\(444\) −24.7987 12.6362i −1.17690 0.599688i
\(445\) −2.37167 + 0.982376i −0.112428 + 0.0465691i
\(446\) 6.65931 + 10.8672i 0.315327 + 0.514579i
\(447\) 28.2734 1.33728
\(448\) 6.14883 + 4.46795i 0.290505 + 0.211091i
\(449\) 21.8335 1.03039 0.515194 0.857074i \(-0.327720\pi\)
0.515194 + 0.857074i \(0.327720\pi\)
\(450\) −18.7205 30.5497i −0.882491 1.44013i
\(451\) −8.66264 + 3.58818i −0.407908 + 0.168961i
\(452\) −16.4404 8.37719i −0.773289 0.394030i
\(453\) −6.35417 + 15.3403i −0.298545 + 0.720751i
\(454\) −6.93250 5.03686i −0.325358 0.236392i
\(455\) −0.153379 0.153379i −0.00719052 0.00719052i
\(456\) −13.8875 11.8618i −0.650343 0.555479i
\(457\) −3.92168 + 3.92168i −0.183449 + 0.183449i −0.792857 0.609408i \(-0.791407\pi\)
0.609408 + 0.792857i \(0.291407\pi\)
\(458\) −9.50802 + 1.50582i −0.444281 + 0.0703626i
\(459\) −28.6459 11.8655i −1.33708 0.553835i
\(460\) −0.880143 0.0692866i −0.0410369 0.00323050i
\(461\) 4.91573 + 11.8676i 0.228948 + 0.552730i 0.996050 0.0887956i \(-0.0283018\pi\)
−0.767102 + 0.641526i \(0.778302\pi\)
\(462\) 1.77951 7.41187i 0.0827903 0.344831i
\(463\) 8.14694i 0.378621i 0.981917 + 0.189310i \(0.0606252\pi\)
−0.981917 + 0.189310i \(0.939375\pi\)
\(464\) −2.57854 1.58028i −0.119706 0.0733625i
\(465\) 5.15688i 0.239145i
\(466\) 3.46608 + 0.832170i 0.160563 + 0.0385495i
\(467\) −0.830169 2.00421i −0.0384157 0.0927436i 0.903507 0.428573i \(-0.140983\pi\)
−0.941923 + 0.335829i \(0.890983\pi\)
\(468\) −7.78731 + 6.65072i −0.359969 + 0.307430i
\(469\) −4.37858 1.81367i −0.202184 0.0837473i
\(470\) 0.416056 + 2.62704i 0.0191912 + 0.121176i
\(471\) −39.8903 + 39.8903i −1.83805 + 1.83805i
\(472\) 6.93876 21.3531i 0.319382 0.982857i
\(473\) −0.617273 0.617273i −0.0283822 0.0283822i
\(474\) −17.6041 + 24.2294i −0.808582 + 1.11289i
\(475\) 4.29057 10.3584i 0.196865 0.475274i
\(476\) 3.01292 + 9.27345i 0.138097 + 0.425048i
\(477\) −0.227101 + 0.0940682i −0.0103982 + 0.00430709i
\(478\) −7.42765 + 4.55157i −0.339733 + 0.208184i
\(479\) 25.1490 1.14908 0.574542 0.818475i \(-0.305180\pi\)
0.574542 + 0.818475i \(0.305180\pi\)
\(480\) −3.40007 1.40855i −0.155191 0.0642914i
\(481\) −4.88353 −0.222670
\(482\) 22.9849 14.0849i 1.04693 0.641547i
\(483\) 4.83632 2.00327i 0.220060 0.0911520i
\(484\) 13.3846 4.34864i 0.608393 0.197665i
\(485\) 0.865828 2.09029i 0.0393152 0.0949153i
\(486\) 10.6688 14.6840i 0.483946 0.666080i
\(487\) −1.21813 1.21813i −0.0551986 0.0551986i 0.678969 0.734167i \(-0.262427\pi\)
−0.734167 + 0.678969i \(0.762427\pi\)
\(488\) −20.6388 + 10.5152i −0.934273 + 0.476000i
\(489\) 28.6853 28.6853i 1.29720 1.29720i
\(490\) −0.307948 1.94443i −0.0139117 0.0878405i
\(491\) 20.6656 + 8.55997i 0.932626 + 0.386306i 0.796674 0.604409i \(-0.206591\pi\)
0.135952 + 0.990715i \(0.456591\pi\)
\(492\) −17.4324 20.4116i −0.785915 0.920226i
\(493\) −1.48470 3.58438i −0.0668674 0.161432i
\(494\) −3.11603 0.748126i −0.140197 0.0336598i
\(495\) 2.32729i 0.104604i
\(496\) 18.6353 + 25.6514i 0.836748 + 1.15178i
\(497\) 8.29507i 0.372085i
\(498\) −13.8195 + 57.5596i −0.619265 + 2.57931i
\(499\) 15.4692 + 37.3460i 0.692498 + 1.67184i 0.739686 + 0.672952i \(0.234974\pi\)
−0.0471878 + 0.998886i \(0.515026\pi\)
\(500\) 0.356477 4.52831i 0.0159422 0.202512i
\(501\) −52.9547 21.9346i −2.36584 0.979964i
\(502\) −9.73006 + 1.54099i −0.434274 + 0.0687777i
\(503\) 23.7146 23.7146i 1.05738 1.05738i 0.0591299 0.998250i \(-0.481167\pi\)
0.998250 0.0591299i \(-0.0188326\pi\)
\(504\) 13.7175 1.07917i 0.611024 0.0480700i
\(505\) −0.501162 0.501162i −0.0223014 0.0223014i
\(506\) −4.40399 3.19976i −0.195781 0.142246i
\(507\) −1.09051 + 2.63272i −0.0484311 + 0.116923i
\(508\) −13.6768 + 26.8410i −0.606812 + 1.19088i
\(509\) −23.3604 + 9.67619i −1.03543 + 0.428890i −0.834670 0.550751i \(-0.814342\pi\)
−0.200761 + 0.979640i \(0.564342\pi\)
\(510\) −2.46682 4.02558i −0.109233 0.178256i
\(511\) −14.1783 −0.627213
\(512\) 22.0027 5.28027i 0.972391 0.233357i
\(513\) −13.6919 −0.604514
\(514\) 14.3630 + 23.4388i 0.633524 + 1.03384i
\(515\) 1.95617 0.810272i 0.0861991 0.0357049i
\(516\) 1.13461 2.22668i 0.0499483 0.0980241i
\(517\) −6.27601 + 15.1516i −0.276019 + 0.666368i
\(518\) 5.30844 + 3.85689i 0.233240 + 0.169462i
\(519\) −19.8402 19.8402i −0.870890 0.870890i
\(520\) −0.643758 + 0.0506453i −0.0282306 + 0.00222094i
\(521\) −22.5504 + 22.5504i −0.987951 + 0.987951i −0.999928 0.0119773i \(-0.996187\pi\)
0.0119773 + 0.999928i \(0.496187\pi\)
\(522\) −5.40754 + 0.856414i −0.236682 + 0.0374842i
\(523\) 24.0463 + 9.96030i 1.05147 + 0.435534i 0.840417 0.541941i \(-0.182310\pi\)
0.211054 + 0.977474i \(0.432310\pi\)
\(524\) −0.253735 + 3.22318i −0.0110845 + 0.140805i
\(525\) 5.12638 + 12.3762i 0.223734 + 0.540141i
\(526\) −6.31750 + 26.3131i −0.275456 + 1.14731i
\(527\) 40.6743i 1.77180i
\(528\) −13.3375 18.3590i −0.580438 0.798973i
\(529\) 19.2615i 0.837457i
\(530\) −0.0150717 0.00361855i −0.000654672 0.000157180i
\(531\) −15.5546 37.5521i −0.675011 1.62962i
\(532\) 2.79630 + 3.27418i 0.121235 + 0.141954i
\(533\) −4.35132 1.80237i −0.188476 0.0780695i
\(534\) −7.08810 44.7554i −0.306732 1.93676i
\(535\) −2.99214 + 2.99214i −0.129361 + 0.129361i
\(536\) −12.5715 + 6.40501i −0.543005 + 0.276654i
\(537\) 14.6441 + 14.6441i 0.631942 + 0.631942i
\(538\) 26.2934 36.1891i 1.13359 1.56022i
\(539\) 4.64525 11.2146i 0.200085 0.483048i
\(540\) −2.62400 + 0.852532i −0.112919 + 0.0366872i
\(541\) −31.0950 + 12.8800i −1.33688 + 0.553752i −0.932609 0.360888i \(-0.882474\pi\)
−0.404268 + 0.914641i \(0.632474\pi\)
\(542\) −25.8068 + 15.8141i −1.10850 + 0.679273i
\(543\) 48.0662 2.06272
\(544\) 26.8176 + 11.1098i 1.14979 + 0.476328i
\(545\) −2.54222 −0.108897
\(546\) 3.26465 2.00053i 0.139714 0.0856149i
\(547\) 33.3037 13.7948i 1.42396 0.589825i 0.468110 0.883670i \(-0.344935\pi\)
0.955853 + 0.293846i \(0.0949353\pi\)
\(548\) −3.07219 9.45587i −0.131237 0.403935i
\(549\) −16.0471 + 38.7410i −0.684872 + 1.65343i
\(550\) 8.18819 11.2698i 0.349146 0.480548i
\(551\) −1.21144 1.21144i −0.0516090 0.0516090i
\(552\) 4.81620 14.8212i 0.204991 0.630832i
\(553\) 4.99268 4.99268i 0.212310 0.212310i
\(554\) 2.65572 + 16.7687i 0.112831 + 0.712433i
\(555\) −2.93532 1.21585i −0.124597 0.0516099i
\(556\) −17.1257 + 14.6261i −0.726292 + 0.620286i
\(557\) −7.96660 19.2331i −0.337556 0.814931i −0.997949 0.0640116i \(-0.979611\pi\)
0.660394 0.750920i \(-0.270389\pi\)
\(558\) 55.8125 + 13.4000i 2.36273 + 0.567266i
\(559\) 0.438493i 0.0185463i
\(560\) 0.739769 + 0.453372i 0.0312609 + 0.0191585i
\(561\) 29.1110i 1.22907i
\(562\) −3.48242 + 14.5047i −0.146897 + 0.611843i
\(563\) −16.3074 39.3697i −0.687277 1.65923i −0.750197 0.661214i \(-0.770041\pi\)
0.0629201 0.998019i \(-0.479959\pi\)
\(564\) −46.8050 3.68458i −1.97084 0.155149i
\(565\) −1.94597 0.806049i −0.0818678 0.0339107i
\(566\) 27.3615 4.33335i 1.15009 0.182144i
\(567\) 1.24779 1.24779i 0.0524024 0.0524024i
\(568\) 18.7774 + 16.0384i 0.787882 + 0.672956i
\(569\) −31.7534 31.7534i −1.33117 1.33117i −0.904325 0.426845i \(-0.859625\pi\)
−0.426845 0.904325i \(-0.640375\pi\)
\(570\) −1.68668 1.22547i −0.0706471 0.0513292i
\(571\) 2.82001 6.80810i 0.118014 0.284910i −0.853824 0.520562i \(-0.825723\pi\)
0.971838 + 0.235652i \(0.0757225\pi\)
\(572\) −3.54761 1.80769i −0.148333 0.0755832i
\(573\) −33.7682 + 13.9873i −1.41069 + 0.584326i
\(574\) 3.30645 + 5.39576i 0.138009 + 0.225215i
\(575\) 9.56679 0.398963
\(576\) 24.0796 33.1385i 1.00332 1.38077i
\(577\) 31.9785 1.33128 0.665641 0.746272i \(-0.268158\pi\)
0.665641 + 0.746272i \(0.268158\pi\)
\(578\) 6.89522 + 11.2522i 0.286804 + 0.468031i
\(579\) −14.4341 + 5.97880i −0.599861 + 0.248470i
\(580\) −0.307598 0.156737i −0.0127723 0.00650814i
\(581\) 5.34056 12.8933i 0.221564 0.534902i
\(582\) 32.3097 + 23.4749i 1.33928 + 0.973065i
\(583\) −0.0675792 0.0675792i −0.00279885 0.00279885i
\(584\) −27.4136 + 32.0953i −1.13438 + 1.32811i
\(585\) −0.826622 + 0.826622i −0.0341766 + 0.0341766i
\(586\) −32.8971 + 5.21005i −1.35897 + 0.215225i
\(587\) −18.5678 7.69102i −0.766374 0.317442i −0.0349712 0.999388i \(-0.511134\pi\)
−0.731403 + 0.681946i \(0.761134\pi\)
\(588\) 34.6431 + 2.72718i 1.42866 + 0.112467i
\(589\) 6.87349 + 16.5941i 0.283217 + 0.683747i
\(590\) 0.598342 2.49217i 0.0246334 0.102601i
\(591\) 74.1875i 3.05166i
\(592\) 18.9946 4.55938i 0.780672 0.187390i
\(593\) 19.8525i 0.815246i 0.913150 + 0.407623i \(0.133642\pi\)
−0.913150 + 0.407623i \(0.866358\pi\)
\(594\) −16.5418 3.97152i −0.678719 0.162953i
\(595\) 0.425950 + 1.02834i 0.0174623 + 0.0421576i
\(596\) −15.0894 + 12.8870i −0.618085 + 0.527873i
\(597\) −68.4382 28.3480i −2.80099 1.16021i
\(598\) −0.427728 2.70074i −0.0174911 0.110442i
\(599\) −10.5309 + 10.5309i −0.430283 + 0.430283i −0.888724 0.458442i \(-0.848408\pi\)
0.458442 + 0.888724i \(0.348408\pi\)
\(600\) 37.9276 + 12.3247i 1.54839 + 0.503153i
\(601\) 29.0382 + 29.0382i 1.18449 + 1.18449i 0.978568 + 0.205926i \(0.0660206\pi\)
0.205926 + 0.978568i \(0.433979\pi\)
\(602\) −0.346311 + 0.476646i −0.0141146 + 0.0194266i
\(603\) −9.77458 + 23.5979i −0.398052 + 0.960982i
\(604\) −3.60094 11.0833i −0.146520 0.450973i
\(605\) 1.48423 0.614787i 0.0603424 0.0249946i
\(606\) 10.6672 6.53670i 0.433324 0.265535i
\(607\) −39.5114 −1.60372 −0.801859 0.597514i \(-0.796155\pi\)
−0.801859 + 0.597514i \(0.796155\pi\)
\(608\) 12.8183 0.000645339i 0.519852 2.61719e-5i
\(609\) 2.04697 0.0829475
\(610\) −2.25451 + 1.38153i −0.0912824 + 0.0559366i
\(611\) −7.61079 + 3.15249i −0.307900 + 0.127536i
\(612\) 49.9784 16.2378i 2.02026 0.656376i
\(613\) 5.43386 13.1185i 0.219472 0.529852i −0.775345 0.631538i \(-0.782424\pi\)
0.994816 + 0.101687i \(0.0324239\pi\)
\(614\) 5.55404 7.64432i 0.224143 0.308500i
\(615\) −2.16669 2.16669i −0.0873693 0.0873693i
\(616\) 2.42862 + 4.76679i 0.0978518 + 0.192059i
\(617\) 8.98568 8.98568i 0.361750 0.361750i −0.502707 0.864457i \(-0.667663\pi\)
0.864457 + 0.502707i \(0.167663\pi\)
\(618\) 5.84632 + 36.9146i 0.235174 + 1.48492i
\(619\) −2.46239 1.01996i −0.0989718 0.0409955i 0.332648 0.943051i \(-0.392058\pi\)
−0.431620 + 0.902056i \(0.642058\pi\)
\(620\) 2.35051 + 2.75221i 0.0943988 + 0.110531i
\(621\) −4.47090 10.7937i −0.179411 0.433137i
\(622\) 33.6995 + 8.09089i 1.35123 + 0.324415i
\(623\) 10.6828i 0.427997i
\(624\) 1.78358 11.2581i 0.0714002 0.450686i
\(625\) 24.2209i 0.968835i
\(626\) 8.58117 35.7415i 0.342972 1.42852i
\(627\) −4.91943 11.8766i −0.196463 0.474304i
\(628\) 3.10726 39.4713i 0.123993 1.57508i
\(629\) 23.1520 + 9.58986i 0.923129 + 0.382373i
\(630\) 1.55139 0.245700i 0.0618089 0.00978892i
\(631\) −13.5337 + 13.5337i −0.538767 + 0.538767i −0.923167 0.384400i \(-0.874408\pi\)
0.384400 + 0.923167i \(0.374408\pi\)
\(632\) −1.64857 20.9551i −0.0655764 0.833549i
\(633\) −41.9505 41.9505i −1.66738 1.66738i
\(634\) −25.1332 18.2607i −0.998165 0.725225i
\(635\) −1.31598 + 3.17705i −0.0522230 + 0.126078i
\(636\) 0.124217 0.243778i 0.00492553 0.00966642i
\(637\) 5.63320 2.33335i 0.223196 0.0924506i
\(638\) −1.11220 1.81498i −0.0440323 0.0718559i
\(639\) 44.7055 1.76852
\(640\) 2.45662 0.798014i 0.0971065 0.0315443i
\(641\) 11.1951 0.442178 0.221089 0.975254i \(-0.429039\pi\)
0.221089 + 0.975254i \(0.429039\pi\)
\(642\) −39.0266 63.6871i −1.54026 2.51353i
\(643\) 18.9451 7.84732i 0.747122 0.309468i 0.0235553 0.999723i \(-0.492501\pi\)
0.723567 + 0.690254i \(0.242501\pi\)
\(644\) −1.66803 + 3.27354i −0.0657298 + 0.128996i
\(645\) 0.109171 0.263563i 0.00429861 0.0103778i
\(646\) 13.3035 + 9.66573i 0.523417 + 0.380293i
\(647\) 19.1543 + 19.1543i 0.753034 + 0.753034i 0.975044 0.222011i \(-0.0712620\pi\)
−0.222011 + 0.975044i \(0.571262\pi\)
\(648\) −0.412017 5.23720i −0.0161856 0.205737i
\(649\) 11.1745 11.1745i 0.438638 0.438638i
\(650\) 6.91122 1.09456i 0.271080 0.0429321i
\(651\) −19.8266 8.21246i −0.777067 0.321872i
\(652\) −2.23445 + 28.3840i −0.0875077 + 1.11160i
\(653\) −10.0623 24.2926i −0.393769 0.950643i −0.989111 0.147171i \(-0.952983\pi\)
0.595342 0.803473i \(-0.297017\pi\)
\(654\) 10.4762 43.6345i 0.409651 1.70624i
\(655\) 0.369074i 0.0144209i
\(656\) 18.6073 + 2.94787i 0.726491 + 0.115095i
\(657\) 76.4129i 2.98115i
\(658\) 10.7628 + 2.58402i 0.419576 + 0.100736i
\(659\) −5.49334 13.2621i −0.213990 0.516618i 0.780039 0.625731i \(-0.215199\pi\)
−0.994029 + 0.109113i \(0.965199\pi\)
\(660\) −1.68229 1.96978i −0.0654829 0.0766738i
\(661\) 41.6451 + 17.2499i 1.61980 + 0.670945i 0.994035 0.109063i \(-0.0347849\pi\)
0.625770 + 0.780008i \(0.284785\pi\)
\(662\) 4.02792 + 25.4330i 0.156550 + 0.988481i
\(663\) 10.3398 10.3398i 0.401565 0.401565i
\(664\) −18.8603 37.0183i −0.731923 1.43659i
\(665\) 0.347554 + 0.347554i 0.0134776 + 0.0134776i
\(666\) 20.7863 28.6093i 0.805454 1.10859i
\(667\) 0.559431 1.35059i 0.0216613 0.0522949i
\(668\) 38.2595 12.4304i 1.48031 0.480948i
\(669\) −23.7269 + 9.82799i −0.917334 + 0.379972i
\(670\) −1.37327 + 0.841519i −0.0530539 + 0.0325107i
\(671\) −16.3035 −0.629389
\(672\) −10.8301 + 10.8291i −0.417782 + 0.417740i
\(673\) 7.43998 0.286790 0.143395 0.989666i \(-0.454198\pi\)
0.143395 + 0.989666i \(0.454198\pi\)
\(674\) 3.53723 2.16757i 0.136249 0.0834917i
\(675\) 27.6212 11.4411i 1.06314 0.440367i
\(676\) −0.617996 1.90213i −0.0237691 0.0731587i
\(677\) 16.8038 40.5680i 0.645823 1.55915i −0.172883 0.984942i \(-0.555308\pi\)
0.818706 0.574212i \(-0.194692\pi\)
\(678\) 21.8541 30.0790i 0.839302 1.15518i
\(679\) −6.65769 6.65769i −0.255499 0.255499i
\(680\) 3.15139 + 1.02406i 0.120850 + 0.0392707i
\(681\) 12.2094 12.2094i 0.467865 0.467865i
\(682\) 3.49085 + 22.0418i 0.133671 + 0.844023i
\(683\) 13.5493 + 5.61229i 0.518448 + 0.214748i 0.626535 0.779393i \(-0.284473\pi\)
−0.108087 + 0.994141i \(0.534473\pi\)
\(684\) 17.6459 15.0704i 0.674708 0.576232i
\(685\) −0.434329 1.04856i −0.0165949 0.0400635i
\(686\) −17.1117 4.10833i −0.653326 0.156857i
\(687\) 19.3974i 0.740057i
\(688\) 0.409388 + 1.70553i 0.0156078 + 0.0650225i
\(689\) 0.0480064i 0.00182890i
\(690\) 0.415310 1.72981i 0.0158106 0.0658528i
\(691\) 3.01587 + 7.28095i 0.114729 + 0.276980i 0.970805 0.239869i \(-0.0771046\pi\)
−0.856076 + 0.516850i \(0.827105\pi\)
\(692\) 19.6319 + 1.54546i 0.746291 + 0.0587495i
\(693\) 8.94774 + 3.70627i 0.339896 + 0.140790i
\(694\) −26.0176 + 4.12052i −0.987616 + 0.156413i
\(695\) −1.81789 + 1.81789i −0.0689565 + 0.0689565i
\(696\) 3.95779 4.63370i 0.150020 0.175640i
\(697\) 17.0895 + 17.0895i 0.647310 + 0.647310i
\(698\) −24.2517 17.6203i −0.917940 0.666936i
\(699\) −2.74867 + 6.63587i −0.103964 + 0.250992i
\(700\) −8.37701 4.26851i −0.316621 0.161335i
\(701\) 20.5416 8.50860i 0.775845 0.321366i 0.0406076 0.999175i \(-0.487071\pi\)
0.735237 + 0.677810i \(0.237071\pi\)
\(702\) −4.46479 7.28604i −0.168513 0.274994i
\(703\) 11.0660 0.417362
\(704\) 15.4862 + 3.71890i 0.583658 + 0.140161i
\(705\) −5.35945 −0.201849
\(706\) 12.9402 + 21.1169i 0.487009 + 0.794744i
\(707\) −2.72493 + 1.12870i −0.102482 + 0.0424493i
\(708\) 40.3097 + 20.5398i 1.51493 + 0.771934i
\(709\) −1.91266 + 4.61758i −0.0718316 + 0.173417i −0.955717 0.294286i \(-0.904918\pi\)
0.883886 + 0.467703i \(0.154918\pi\)
\(710\) 2.28057 + 1.65696i 0.0855881 + 0.0621847i
\(711\) −26.9076 26.9076i −1.00911 1.00911i
\(712\) 24.1824 + 20.6550i 0.906276 + 0.774080i
\(713\) −10.8371 + 10.8371i −0.405853 + 0.405853i
\(714\) −19.4056 + 3.07334i −0.726236 + 0.115017i
\(715\) −0.419916 0.173935i −0.0157040 0.00650479i
\(716\) −14.4903 1.14071i −0.541530 0.0426303i
\(717\) −6.71733 16.2171i −0.250863 0.605638i
\(718\) 4.15724 17.3154i 0.155147 0.646204i
\(719\) 37.8256i 1.41066i 0.708880 + 0.705329i \(0.249201\pi\)
−0.708880 + 0.705329i \(0.750799\pi\)
\(720\) 2.44340 3.98691i 0.0910603 0.148583i
\(721\) 8.81125i 0.328148i
\(722\) −19.0667 4.57771i −0.709589 0.170365i
\(723\) 20.7868 + 50.1838i 0.773070 + 1.86636i
\(724\) −25.6527 + 21.9086i −0.953376 + 0.814227i
\(725\) 3.45616 + 1.43159i 0.128359 + 0.0531679i
\(726\) 4.43585 + 28.0087i 0.164630 + 1.03950i
\(727\) 12.3051 12.3051i 0.456370 0.456370i −0.441092 0.897462i \(-0.645409\pi\)
0.897462 + 0.441092i \(0.145409\pi\)
\(728\) −0.830484 + 2.55571i −0.0307798 + 0.0947207i
\(729\) 29.8012 + 29.8012i 1.10375 + 1.10375i
\(730\) −2.83217 + 3.89806i −0.104823 + 0.144274i
\(731\) −0.861074 + 2.07882i −0.0318480 + 0.0768878i
\(732\) −14.4220 44.3894i −0.533052 1.64068i
\(733\) −33.0623 + 13.6948i −1.22118 + 0.505831i −0.897786 0.440433i \(-0.854825\pi\)
−0.323397 + 0.946263i \(0.604825\pi\)
\(734\) −2.04310 + 1.25198i −0.0754121 + 0.0462116i
\(735\) 3.96685 0.146320
\(736\) 4.18513 + 10.1052i 0.154266 + 0.372484i
\(737\) −9.93079 −0.365805
\(738\) 29.0799 17.8198i 1.07045 0.655956i
\(739\) −33.6178 + 13.9249i −1.23665 + 0.512238i −0.902666 0.430341i \(-0.858393\pi\)
−0.333984 + 0.942579i \(0.608393\pi\)
\(740\) 2.12075 0.689027i 0.0779605 0.0253292i
\(741\) 2.47107 5.96569i 0.0907770 0.219155i
\(742\) −0.0379142 + 0.0521833i −0.00139187 + 0.00191571i
\(743\) 1.94622 + 1.94622i 0.0713999 + 0.0713999i 0.741905 0.670505i \(-0.233923\pi\)
−0.670505 + 0.741905i \(0.733923\pi\)
\(744\) −56.9249 + 29.0025i −2.08697 + 1.06328i
\(745\) −1.60173 + 1.60173i −0.0586830 + 0.0586830i
\(746\) −2.72234 17.1893i −0.0996720 0.629345i
\(747\) −69.4870 28.7824i −2.54240 1.05309i
\(748\) 13.2688 + 15.5364i 0.485156 + 0.568068i
\(749\) 6.73880 + 16.2689i 0.246230 + 0.594453i
\(750\) 8.89983 + 2.13676i 0.324976 + 0.0780233i
\(751\) 25.2610i 0.921786i 0.887456 + 0.460893i \(0.152471\pi\)
−0.887456 + 0.460893i \(0.847529\pi\)
\(752\) 26.6591 19.3673i 0.972156 0.706253i
\(753\) 19.8504i 0.723388i
\(754\) 0.249619 1.03969i 0.00909060 0.0378634i
\(755\) −0.509081 1.22903i −0.0185274 0.0447290i
\(756\) −0.901066 + 11.4462i −0.0327714 + 0.416293i
\(757\) −21.8070 9.03276i −0.792589 0.328301i −0.0506050 0.998719i \(-0.516115\pi\)
−0.741984 + 0.670418i \(0.766115\pi\)
\(758\) −11.8024 + 1.86920i −0.428683 + 0.0678923i
\(759\) 7.75624 7.75624i 0.281533 0.281533i
\(760\) 1.45874 0.114761i 0.0529142 0.00416283i
\(761\) −5.81099 5.81099i −0.210648 0.210648i 0.593895 0.804543i \(-0.297590\pi\)
−0.804543 + 0.593895i \(0.797590\pi\)
\(762\) −49.1078 35.6797i −1.77899 1.29254i
\(763\) −4.04854 + 9.77405i −0.146567 + 0.353844i
\(764\) 11.6466 22.8565i 0.421358 0.826920i
\(765\) 5.54212 2.29562i 0.200376 0.0829983i
\(766\) −10.1910 16.6307i −0.368217 0.600890i
\(767\) 7.93806 0.286627
\(768\) 3.57361 + 45.4539i 0.128952 + 1.64017i
\(769\) −50.0151 −1.80359 −0.901795 0.432163i \(-0.857750\pi\)
−0.901795 +