Properties

Label 216.2.t.a.133.25
Level $216$
Weight $2$
Character 216.133
Analytic conductor $1.725$
Analytic rank $0$
Dimension $204$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.t (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 133.25
Character \(\chi\) \(=\) 216.133
Dual form 216.2.t.a.13.25

$q$-expansion

\(f(q)\) \(=\) \(q+(0.974655 - 1.02472i) q^{2} +(1.67042 + 0.457945i) q^{3} +(-0.100097 - 1.99749i) q^{4} +(-1.52309 - 1.81515i) q^{5} +(2.09734 - 1.26537i) q^{6} +(0.767101 - 0.279202i) q^{7} +(-2.14443 - 1.84430i) q^{8} +(2.58057 + 1.52992i) q^{9} +O(q^{10})\) \(q+(0.974655 - 1.02472i) q^{2} +(1.67042 + 0.457945i) q^{3} +(-0.100097 - 1.99749i) q^{4} +(-1.52309 - 1.81515i) q^{5} +(2.09734 - 1.26537i) q^{6} +(0.767101 - 0.279202i) q^{7} +(-2.14443 - 1.84430i) q^{8} +(2.58057 + 1.52992i) q^{9} +(-3.34451 - 0.208404i) q^{10} +(-3.58256 + 4.26953i) q^{11} +(0.747538 - 3.38248i) q^{12} +(2.36616 - 0.417219i) q^{13} +(0.461555 - 1.05819i) q^{14} +(-1.71296 - 3.72954i) q^{15} +(-3.97996 + 0.399886i) q^{16} +(1.52854 + 2.64751i) q^{17} +(4.08290 - 1.15322i) q^{18} +(0.631691 + 0.364707i) q^{19} +(-3.47329 + 3.22406i) q^{20} +(1.40924 - 0.115093i) q^{21} +(0.883308 + 7.83244i) q^{22} +(6.38462 + 2.32381i) q^{23} +(-2.73750 - 4.06277i) q^{24} +(-0.106720 + 0.605238i) q^{25} +(1.87866 - 2.83130i) q^{26} +(3.61001 + 3.73735i) q^{27} +(-0.634489 - 1.50433i) q^{28} +(-9.24326 - 1.62984i) q^{29} +(-5.49128 - 1.87972i) q^{30} +(1.92800 + 0.701734i) q^{31} +(-3.46932 + 4.46809i) q^{32} +(-7.93957 + 5.49127i) q^{33} +(4.20276 + 1.01408i) q^{34} +(-1.67516 - 0.967153i) q^{35} +(2.79769 - 5.30782i) q^{36} +(-4.61364 + 2.66369i) q^{37} +(0.989402 - 0.291842i) q^{38} +(4.14354 + 0.386644i) q^{39} +(-0.0815103 + 6.70149i) q^{40} +(-1.29167 - 7.32541i) q^{41} +(1.25558 - 1.55625i) q^{42} +(4.42023 - 5.26782i) q^{43} +(8.88696 + 6.72878i) q^{44} +(-1.15342 - 7.01433i) q^{45} +(8.60405 - 4.27752i) q^{46} +(-10.2350 + 3.72522i) q^{47} +(-6.83131 - 1.15463i) q^{48} +(-4.85182 + 4.07116i) q^{49} +(0.516184 + 0.699256i) q^{50} +(1.34089 + 5.12243i) q^{51} +(-1.07024 - 4.68464i) q^{52} -2.99582i q^{53} +(7.34825 - 0.0566171i) q^{54} +13.2064 q^{55} +(-2.15993 - 0.816032i) q^{56} +(0.888170 + 0.898491i) q^{57} +(-10.6791 + 7.88321i) q^{58} +(-0.837520 - 0.998118i) q^{59} +(-7.27828 + 3.79494i) q^{60} +(0.528763 + 1.45277i) q^{61} +(2.59821 - 1.29171i) q^{62} +(2.40672 + 0.453099i) q^{63} +(1.19715 + 7.90992i) q^{64} +(-4.36120 - 3.65948i) q^{65} +(-2.11133 + 13.4879i) q^{66} +(4.70399 - 0.829441i) q^{67} +(5.13539 - 3.31826i) q^{68} +(9.60078 + 6.80553i) q^{69} +(-2.62376 + 0.773926i) q^{70} +(-4.37210 - 7.57270i) q^{71} +(-2.71224 - 8.04013i) q^{72} +(-2.62609 + 4.54853i) q^{73} +(-1.76718 + 7.32386i) q^{74} +(-0.455432 + 0.962127i) q^{75} +(0.665269 - 1.29830i) q^{76} +(-1.55613 + 4.27542i) q^{77} +(4.43472 - 3.86912i) q^{78} +(-0.739506 + 4.19395i) q^{79} +(6.78770 + 6.61516i) q^{80} +(4.31872 + 7.89612i) q^{81} +(-8.76541 - 5.81615i) q^{82} +(14.1745 + 2.49935i) q^{83} +(-0.370958 - 2.80342i) q^{84} +(2.47752 - 6.80694i) q^{85} +(-1.08984 - 9.66379i) q^{86} +(-14.6937 - 6.95541i) q^{87} +(15.5568 - 2.54840i) q^{88} +(4.96560 - 8.60067i) q^{89} +(-8.31190 - 5.65461i) q^{90} +(1.69860 - 0.980687i) q^{91} +(4.00272 - 12.9858i) q^{92} +(2.89920 + 2.05510i) q^{93} +(-6.15825 + 14.1188i) q^{94} +(-0.300125 - 1.70209i) q^{95} +(-7.84134 + 5.87481i) q^{96} +(-11.8735 - 9.96305i) q^{97} +(-0.557054 + 8.93973i) q^{98} +(-15.7771 + 5.53682i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} - 3q^{10} + 3q^{12} - 21q^{14} - 12q^{15} - 6q^{16} - 6q^{17} - 27q^{18} + 15q^{20} - 6q^{22} - 12q^{23} - 12q^{25} - 30q^{26} - 12q^{28} - 39q^{30} - 12q^{31} - 36q^{32} - 36q^{36} - 42q^{38} - 12q^{39} - 21q^{40} - 24q^{41} - 66q^{42} + 21q^{44} - 3q^{46} - 12q^{47} + 51q^{48} - 12q^{49} - 99q^{50} - 33q^{52} - 90q^{54} - 24q^{55} + 99q^{56} - 30q^{57} + 21q^{58} + 102q^{60} - 36q^{62} - 72q^{63} - 3q^{64} - 12q^{65} - 9q^{66} + 75q^{68} + 9q^{70} - 90q^{71} + 60q^{72} - 6q^{73} + 9q^{74} - 18q^{76} + 12q^{78} - 12q^{79} + 78q^{80} - 12q^{81} - 12q^{82} + 102q^{84} - 30q^{86} - 48q^{87} - 30q^{88} - 6q^{89} + 6q^{90} + 111q^{92} - 33q^{94} - 42q^{95} + 126q^{96} - 12q^{97} + 54q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.974655 1.02472i 0.689185 0.724586i
\(3\) 1.67042 + 0.457945i 0.964415 + 0.264395i
\(4\) −0.100097 1.99749i −0.0500484 0.998747i
\(5\) −1.52309 1.81515i −0.681147 0.811760i 0.309108 0.951027i \(-0.399970\pi\)
−0.990255 + 0.139268i \(0.955525\pi\)
\(6\) 2.09734 1.26537i 0.856236 0.516584i
\(7\) 0.767101 0.279202i 0.289937 0.105528i −0.192957 0.981207i \(-0.561808\pi\)
0.482894 + 0.875679i \(0.339586\pi\)
\(8\) −2.14443 1.84430i −0.758170 0.652057i
\(9\) 2.58057 + 1.52992i 0.860191 + 0.509972i
\(10\) −3.34451 0.208404i −1.05763 0.0659030i
\(11\) −3.58256 + 4.26953i −1.08018 + 1.28731i −0.124723 + 0.992192i \(0.539804\pi\)
−0.955460 + 0.295120i \(0.904640\pi\)
\(12\) 0.747538 3.38248i 0.215796 0.976439i
\(13\) 2.36616 0.417219i 0.656256 0.115716i 0.164402 0.986393i \(-0.447431\pi\)
0.491854 + 0.870678i \(0.336319\pi\)
\(14\) 0.461555 1.05819i 0.123356 0.282813i
\(15\) −1.71296 3.72954i −0.442283 0.962964i
\(16\) −3.97996 + 0.399886i −0.994990 + 0.0999715i
\(17\) 1.52854 + 2.64751i 0.370726 + 0.642116i 0.989677 0.143313i \(-0.0457755\pi\)
−0.618951 + 0.785429i \(0.712442\pi\)
\(18\) 4.08290 1.15322i 0.962349 0.271817i
\(19\) 0.631691 + 0.364707i 0.144920 + 0.0836695i 0.570707 0.821154i \(-0.306669\pi\)
−0.425787 + 0.904823i \(0.640003\pi\)
\(20\) −3.47329 + 3.22406i −0.776652 + 0.720921i
\(21\) 1.40924 0.115093i 0.307521 0.0251154i
\(22\) 0.883308 + 7.83244i 0.188322 + 1.66988i
\(23\) 6.38462 + 2.32381i 1.33128 + 0.484548i 0.907057 0.421008i \(-0.138323\pi\)
0.424228 + 0.905556i \(0.360546\pi\)
\(24\) −2.73750 4.06277i −0.558790 0.829309i
\(25\) −0.106720 + 0.605238i −0.0213440 + 0.121048i
\(26\) 1.87866 2.83130i 0.368436 0.555263i
\(27\) 3.61001 + 3.73735i 0.694747 + 0.719254i
\(28\) −0.634489 1.50433i −0.119907 0.284292i
\(29\) −9.24326 1.62984i −1.71643 0.302653i −0.773045 0.634351i \(-0.781267\pi\)
−0.943385 + 0.331698i \(0.892378\pi\)
\(30\) −5.49128 1.87972i −1.00257 0.343188i
\(31\) 1.92800 + 0.701734i 0.346279 + 0.126035i 0.509304 0.860587i \(-0.329903\pi\)
−0.163025 + 0.986622i \(0.552125\pi\)
\(32\) −3.46932 + 4.46809i −0.613294 + 0.789854i
\(33\) −7.93957 + 5.49127i −1.38210 + 0.955908i
\(34\) 4.20276 + 1.01408i 0.720767 + 0.173914i
\(35\) −1.67516 0.967153i −0.283154 0.163479i
\(36\) 2.79769 5.30782i 0.466282 0.884636i
\(37\) −4.61364 + 2.66369i −0.758478 + 0.437907i −0.828749 0.559621i \(-0.810947\pi\)
0.0702711 + 0.997528i \(0.477614\pi\)
\(38\) 0.989402 0.291842i 0.160502 0.0473430i
\(39\) 4.14354 + 0.386644i 0.663497 + 0.0619126i
\(40\) −0.0815103 + 6.70149i −0.0128879 + 1.05960i
\(41\) −1.29167 7.32541i −0.201725 1.14404i −0.902511 0.430666i \(-0.858279\pi\)
0.700787 0.713371i \(-0.252832\pi\)
\(42\) 1.25558 1.55625i 0.193740 0.240134i
\(43\) 4.42023 5.26782i 0.674078 0.803335i −0.315255 0.949007i \(-0.602090\pi\)
0.989333 + 0.145672i \(0.0465344\pi\)
\(44\) 8.88696 + 6.72878i 1.33976 + 1.01440i
\(45\) −1.15342 7.01433i −0.171942 1.04563i
\(46\) 8.60405 4.27752i 1.26860 0.630686i
\(47\) −10.2350 + 3.72522i −1.49292 + 0.543380i −0.954217 0.299114i \(-0.903309\pi\)
−0.538706 + 0.842494i \(0.681087\pi\)
\(48\) −6.83131 1.15463i −0.986015 0.166656i
\(49\) −4.85182 + 4.07116i −0.693117 + 0.581594i
\(50\) 0.516184 + 0.699256i 0.0729994 + 0.0988897i
\(51\) 1.34089 + 5.12243i 0.187762 + 0.717284i
\(52\) −1.07024 4.68464i −0.148415 0.649642i
\(53\) 2.99582i 0.411507i −0.978604 0.205754i \(-0.934035\pi\)
0.978604 0.205754i \(-0.0659645\pi\)
\(54\) 7.34825 0.0566171i 0.999970 0.00770462i
\(55\) 13.2064 1.78075
\(56\) −2.15993 0.816032i −0.288632 0.109047i
\(57\) 0.888170 + 0.898491i 0.117641 + 0.119008i
\(58\) −10.6791 + 7.88321i −1.40224 + 1.03512i
\(59\) −0.837520 0.998118i −0.109036 0.129944i 0.708766 0.705443i \(-0.249252\pi\)
−0.817802 + 0.575500i \(0.804808\pi\)
\(60\) −7.27828 + 3.79494i −0.939622 + 0.489924i
\(61\) 0.528763 + 1.45277i 0.0677012 + 0.186008i 0.968929 0.247337i \(-0.0795555\pi\)
−0.901228 + 0.433345i \(0.857333\pi\)
\(62\) 2.59821 1.29171i 0.329973 0.164047i
\(63\) 2.40672 + 0.453099i 0.303218 + 0.0570851i
\(64\) 1.19715 + 7.90992i 0.149644 + 0.988740i
\(65\) −4.36120 3.65948i −0.540940 0.453903i
\(66\) −2.11133 + 13.4879i −0.259887 + 1.66025i
\(67\) 4.70399 0.829441i 0.574684 0.101332i 0.121250 0.992622i \(-0.461310\pi\)
0.453434 + 0.891290i \(0.350199\pi\)
\(68\) 5.13539 3.31826i 0.622757 0.402398i
\(69\) 9.60078 + 6.80553i 1.15580 + 0.819289i
\(70\) −2.62376 + 0.773926i −0.313599 + 0.0925019i
\(71\) −4.37210 7.57270i −0.518873 0.898714i −0.999759 0.0219314i \(-0.993018\pi\)
0.480887 0.876783i \(-0.340315\pi\)
\(72\) −2.71224 8.04013i −0.319641 0.947539i
\(73\) −2.62609 + 4.54853i −0.307361 + 0.532365i −0.977784 0.209614i \(-0.932779\pi\)
0.670423 + 0.741979i \(0.266113\pi\)
\(74\) −1.76718 + 7.32386i −0.205430 + 0.851381i
\(75\) −0.455432 + 0.962127i −0.0525887 + 0.111097i
\(76\) 0.665269 1.29830i 0.0763116 0.148926i
\(77\) −1.55613 + 4.27542i −0.177337 + 0.487230i
\(78\) 4.43472 3.86912i 0.502133 0.438091i
\(79\) −0.739506 + 4.19395i −0.0832010 + 0.471856i 0.914529 + 0.404520i \(0.132561\pi\)
−0.997730 + 0.0673365i \(0.978550\pi\)
\(80\) 6.78770 + 6.61516i 0.758888 + 0.739598i
\(81\) 4.31872 + 7.89612i 0.479857 + 0.877347i
\(82\) −8.76541 5.81615i −0.967978 0.642286i
\(83\) 14.1745 + 2.49935i 1.55585 + 0.274339i 0.884408 0.466716i \(-0.154563\pi\)
0.671445 + 0.741054i \(0.265674\pi\)
\(84\) −0.370958 2.80342i −0.0404749 0.305878i
\(85\) 2.47752 6.80694i 0.268725 0.738316i
\(86\) −1.08984 9.66379i −0.117521 1.04207i
\(87\) −14.6937 6.95541i −1.57533 0.745698i
\(88\) 15.5568 2.54840i 1.65836 0.271661i
\(89\) 4.96560 8.60067i 0.526352 0.911669i −0.473176 0.880968i \(-0.656893\pi\)
0.999529 0.0307010i \(-0.00977397\pi\)
\(90\) −8.31190 5.65461i −0.876151 0.596048i
\(91\) 1.69860 0.980687i 0.178062 0.102804i
\(92\) 4.00272 12.9858i 0.417312 1.35387i
\(93\) 2.89920 + 2.05510i 0.300633 + 0.213104i
\(94\) −6.15825 + 14.1188i −0.635175 + 1.45624i
\(95\) −0.300125 1.70209i −0.0307922 0.174631i
\(96\) −7.84134 + 5.87481i −0.800303 + 0.599595i
\(97\) −11.8735 9.96305i −1.20557 1.01159i −0.999453 0.0330678i \(-0.989472\pi\)
−0.206119 0.978527i \(-0.566083\pi\)
\(98\) −0.557054 + 8.93973i −0.0562710 + 0.903049i
\(99\) −15.7771 + 5.53682i −1.58566 + 0.556471i
\(100\) 1.21964 + 0.152590i 0.121964 + 0.0152590i
\(101\) −3.29440 9.05130i −0.327805 0.900638i −0.988666 0.150129i \(-0.952031\pi\)
0.660861 0.750508i \(-0.270191\pi\)
\(102\) 6.55596 + 3.61857i 0.649136 + 0.358292i
\(103\) −0.566175 + 0.475077i −0.0557869 + 0.0468108i −0.670255 0.742131i \(-0.733815\pi\)
0.614468 + 0.788942i \(0.289371\pi\)
\(104\) −5.84355 3.46921i −0.573007 0.340184i
\(105\) −2.35531 2.38268i −0.229854 0.232526i
\(106\) −3.06987 2.91989i −0.298172 0.283604i
\(107\) 2.41557i 0.233522i −0.993160 0.116761i \(-0.962749\pi\)
0.993160 0.116761i \(-0.0372512\pi\)
\(108\) 7.10399 7.58507i 0.683582 0.729874i
\(109\) 5.27617i 0.505365i −0.967549 0.252683i \(-0.918687\pi\)
0.967549 0.252683i \(-0.0813129\pi\)
\(110\) 12.8717 13.5329i 1.22727 1.29031i
\(111\) −8.92652 + 2.33667i −0.847267 + 0.221787i
\(112\) −2.94138 + 1.41797i −0.277935 + 0.133985i
\(113\) 10.7854 9.05004i 1.01461 0.851356i 0.0256661 0.999671i \(-0.491829\pi\)
0.988940 + 0.148315i \(0.0473849\pi\)
\(114\) 1.78636 0.0344060i 0.167308 0.00322242i
\(115\) −5.50629 15.1284i −0.513464 1.41073i
\(116\) −2.33037 + 18.6265i −0.216369 + 1.72943i
\(117\) 6.74437 + 2.54337i 0.623517 + 0.235135i
\(118\) −1.83908 0.114597i −0.169301 0.0105495i
\(119\) 1.91174 + 1.60414i 0.175249 + 0.147051i
\(120\) −3.20507 + 11.1569i −0.292581 + 1.01848i
\(121\) −3.48402 19.7588i −0.316729 1.79626i
\(122\) 2.00404 + 0.874111i 0.181437 + 0.0791383i
\(123\) 1.19701 12.8280i 0.107931 1.15666i
\(124\) 1.20872 3.92141i 0.108546 0.352153i
\(125\) −8.99914 + 5.19565i −0.804907 + 0.464713i
\(126\) 2.81002 2.02459i 0.250336 0.180365i
\(127\) 6.59181 11.4173i 0.584928 1.01313i −0.409956 0.912105i \(-0.634456\pi\)
0.994884 0.101020i \(-0.0322108\pi\)
\(128\) 9.27225 + 6.48270i 0.819559 + 0.572995i
\(129\) 9.79598 6.77523i 0.862488 0.596526i
\(130\) −8.00060 + 0.902273i −0.701699 + 0.0791346i
\(131\) −4.87820 + 13.4028i −0.426211 + 1.17100i 0.521884 + 0.853016i \(0.325229\pi\)
−0.948095 + 0.317988i \(0.896993\pi\)
\(132\) 11.7635 + 15.3096i 1.02388 + 1.33253i
\(133\) 0.586398 + 0.103398i 0.0508471 + 0.00896572i
\(134\) 3.73483 5.62869i 0.322640 0.486245i
\(135\) 1.28548 12.2450i 0.110636 1.05389i
\(136\) 1.60495 8.49649i 0.137623 0.728568i
\(137\) −2.35896 + 13.3783i −0.201539 + 1.14299i 0.701254 + 0.712912i \(0.252624\pi\)
−0.902793 + 0.430075i \(0.858487\pi\)
\(138\) 16.3312 3.20506i 1.39020 0.272833i
\(139\) −3.70358 + 10.1755i −0.314133 + 0.863074i 0.677678 + 0.735359i \(0.262986\pi\)
−0.991811 + 0.127715i \(0.959236\pi\)
\(140\) −1.76420 + 3.44293i −0.149102 + 0.290981i
\(141\) −18.8026 + 1.53562i −1.58346 + 0.129323i
\(142\) −12.0212 2.90059i −1.00879 0.243412i
\(143\) −6.69560 + 11.5971i −0.559915 + 0.969800i
\(144\) −10.8824 5.05707i −0.906864 0.421423i
\(145\) 11.1199 + 19.2603i 0.923460 + 1.59948i
\(146\) 2.10143 + 7.12425i 0.173915 + 0.589607i
\(147\) −9.96892 + 4.57866i −0.822223 + 0.377642i
\(148\) 5.78251 + 8.94909i 0.475319 + 0.735611i
\(149\) 10.8534 1.91374i 0.889141 0.156780i 0.289623 0.957141i \(-0.406470\pi\)
0.599518 + 0.800361i \(0.295359\pi\)
\(150\) 0.542021 + 1.40443i 0.0442558 + 0.114671i
\(151\) −0.654630 0.549300i −0.0532730 0.0447014i 0.615762 0.787932i \(-0.288848\pi\)
−0.669035 + 0.743231i \(0.733293\pi\)
\(152\) −0.681989 1.94711i −0.0553166 0.157932i
\(153\) −0.105956 + 9.17064i −0.00856605 + 0.741403i
\(154\) 2.86442 + 5.76165i 0.230821 + 0.464287i
\(155\) −1.66277 4.56841i −0.133557 0.366944i
\(156\) 0.357564 8.31540i 0.0286280 0.665765i
\(157\) 2.44013 + 2.90803i 0.194743 + 0.232086i 0.854576 0.519327i \(-0.173817\pi\)
−0.659832 + 0.751413i \(0.729373\pi\)
\(158\) 3.57685 + 4.84544i 0.284559 + 0.385482i
\(159\) 1.37192 5.00426i 0.108800 0.396863i
\(160\) 13.3943 0.507982i 1.05892 0.0401595i
\(161\) 5.54646 0.437122
\(162\) 12.3006 + 3.27052i 0.966423 + 0.256956i
\(163\) 15.6828i 1.22837i −0.789162 0.614186i \(-0.789485\pi\)
0.789162 0.614186i \(-0.210515\pi\)
\(164\) −14.5032 + 3.31335i −1.13251 + 0.258729i
\(165\) 22.0602 + 6.04780i 1.71738 + 0.470821i
\(166\) 16.3764 12.0889i 1.27105 0.938278i
\(167\) 0.331925 0.278519i 0.0256852 0.0215524i −0.629855 0.776713i \(-0.716886\pi\)
0.655540 + 0.755161i \(0.272441\pi\)
\(168\) −3.23427 2.35224i −0.249530 0.181479i
\(169\) −6.79134 + 2.47185i −0.522411 + 0.190142i
\(170\) −4.56047 9.17318i −0.349772 0.703551i
\(171\) 1.07215 + 1.90759i 0.0819896 + 0.145877i
\(172\) −10.9649 8.30208i −0.836065 0.633028i
\(173\) −4.07848 + 4.86054i −0.310081 + 0.369540i −0.898468 0.439039i \(-0.855319\pi\)
0.588387 + 0.808580i \(0.299763\pi\)
\(174\) −21.4486 + 8.27780i −1.62602 + 0.627538i
\(175\) 0.0871188 + 0.494075i 0.00658556 + 0.0373486i
\(176\) 12.5511 18.4252i 0.946077 1.38885i
\(177\) −0.941924 2.05081i −0.0707993 0.154148i
\(178\) −3.97352 13.4710i −0.297828 1.00970i
\(179\) 22.8480 13.1913i 1.70774 0.985966i 0.770398 0.637564i \(-0.220058\pi\)
0.937345 0.348402i \(-0.113276\pi\)
\(180\) −13.8956 + 3.00607i −1.03572 + 0.224059i
\(181\) 10.1392 + 5.85386i 0.753639 + 0.435114i 0.827007 0.562191i \(-0.190041\pi\)
−0.0733680 + 0.997305i \(0.523375\pi\)
\(182\) 0.650620 2.69642i 0.0482271 0.199872i
\(183\) 0.217968 + 2.66887i 0.0161127 + 0.197288i
\(184\) −9.40556 16.7584i −0.693387 1.23544i
\(185\) 11.8620 + 4.31741i 0.872110 + 0.317422i
\(186\) 4.93162 0.967850i 0.361604 0.0709662i
\(187\) −16.7797 2.95872i −1.22706 0.216363i
\(188\) 8.46560 + 20.0714i 0.617417 + 1.46386i
\(189\) 3.81272 + 1.85901i 0.277335 + 0.135223i
\(190\) −2.03669 1.35141i −0.147757 0.0980416i
\(191\) −3.61178 + 20.4834i −0.261339 + 1.48213i 0.517921 + 0.855428i \(0.326706\pi\)
−0.779261 + 0.626700i \(0.784405\pi\)
\(192\) −1.62257 + 13.7611i −0.117099 + 0.993120i
\(193\) −3.79638 1.38177i −0.273270 0.0994620i 0.201750 0.979437i \(-0.435337\pi\)
−0.475020 + 0.879975i \(0.657559\pi\)
\(194\) −21.7819 + 2.45647i −1.56385 + 0.176364i
\(195\) −5.60917 8.11004i −0.401681 0.580772i
\(196\) 8.61777 + 9.28397i 0.615555 + 0.663141i
\(197\) 15.7235 + 9.07798i 1.12025 + 0.646779i 0.941466 0.337108i \(-0.109449\pi\)
0.178788 + 0.983888i \(0.442782\pi\)
\(198\) −9.70353 + 21.5636i −0.689600 + 1.53246i
\(199\) 8.84948 + 15.3277i 0.627323 + 1.08656i 0.988087 + 0.153898i \(0.0491827\pi\)
−0.360764 + 0.932657i \(0.617484\pi\)
\(200\) 1.34509 1.10107i 0.0951122 0.0778572i
\(201\) 8.23746 + 0.768658i 0.581026 + 0.0542170i
\(202\) −12.4859 5.44605i −0.878507 0.383183i
\(203\) −7.54557 + 1.33049i −0.529595 + 0.0933819i
\(204\) 10.0978 3.19115i 0.706988 0.223425i
\(205\) −11.3294 + 13.5018i −0.791279 + 0.943009i
\(206\) −0.0650046 + 1.04321i −0.00452908 + 0.0726837i
\(207\) 12.9207 + 15.7647i 0.898053 + 1.09572i
\(208\) −9.25040 + 2.60671i −0.641400 + 0.180743i
\(209\) −3.82020 + 1.39044i −0.264249 + 0.0961786i
\(210\) −4.73719 + 0.0912401i −0.326897 + 0.00629616i
\(211\) −2.99419 3.56833i −0.206128 0.245654i 0.653069 0.757298i \(-0.273481\pi\)
−0.859197 + 0.511644i \(0.829037\pi\)
\(212\) −5.98413 + 0.299872i −0.410991 + 0.0205953i
\(213\) −3.83534 14.6517i −0.262793 1.00392i
\(214\) −2.47528 2.35435i −0.169207 0.160940i
\(215\) −16.2943 −1.11126
\(216\) −0.848629 14.6724i −0.0577419 0.998332i
\(217\) 1.67490 0.113699
\(218\) −5.40659 5.14244i −0.366180 0.348290i
\(219\) −6.46964 + 6.39532i −0.437178 + 0.432156i
\(220\) −1.32192 26.3797i −0.0891238 1.77852i
\(221\) 4.72138 + 5.62672i 0.317594 + 0.378494i
\(222\) −6.30584 + 11.4246i −0.423220 + 0.766770i
\(223\) −23.9911 + 8.73206i −1.60656 + 0.584742i −0.980756 0.195235i \(-0.937453\pi\)
−0.625808 + 0.779977i \(0.715231\pi\)
\(224\) −1.41382 + 4.39612i −0.0944646 + 0.293728i
\(225\) −1.20136 + 1.39859i −0.0800907 + 0.0932392i
\(226\) 1.23831 19.8727i 0.0823712 1.32191i
\(227\) −5.61519 + 6.69192i −0.372693 + 0.444158i −0.919494 0.393104i \(-0.871401\pi\)
0.546801 + 0.837263i \(0.315846\pi\)
\(228\) 1.70583 1.86405i 0.112971 0.123450i
\(229\) 7.54563 1.33050i 0.498629 0.0879218i 0.0813232 0.996688i \(-0.474085\pi\)
0.417306 + 0.908766i \(0.362974\pi\)
\(230\) −20.8691 9.10257i −1.37607 0.600206i
\(231\) −4.55728 + 6.42911i −0.299847 + 0.423004i
\(232\) 16.8156 + 20.5424i 1.10400 + 1.34867i
\(233\) −4.64693 8.04871i −0.304430 0.527289i 0.672704 0.739912i \(-0.265133\pi\)
−0.977134 + 0.212623i \(0.931799\pi\)
\(234\) 9.17967 4.43218i 0.600094 0.289740i
\(235\) 22.3506 + 12.9041i 1.45799 + 0.841773i
\(236\) −1.90990 + 1.77285i −0.124324 + 0.115403i
\(237\) −3.15588 + 6.66698i −0.204996 + 0.433067i
\(238\) 3.50708 0.395513i 0.227330 0.0256373i
\(239\) 7.97388 + 2.90226i 0.515788 + 0.187731i 0.586781 0.809745i \(-0.300395\pi\)
−0.0709937 + 0.997477i \(0.522617\pi\)
\(240\) 8.30889 + 14.1585i 0.536337 + 0.913924i
\(241\) 0.538985 3.05674i 0.0347191 0.196902i −0.962515 0.271229i \(-0.912570\pi\)
0.997234 + 0.0743274i \(0.0236810\pi\)
\(242\) −23.6430 15.6879i −1.51983 1.00846i
\(243\) 3.59806 + 15.1675i 0.230816 + 0.972997i
\(244\) 2.84896 1.20162i 0.182386 0.0769258i
\(245\) 14.7795 + 2.60603i 0.944230 + 0.166493i
\(246\) −11.9784 13.7295i −0.763715 0.875358i
\(247\) 1.64685 + 0.599403i 0.104786 + 0.0381391i
\(248\) −2.84025 5.06062i −0.180356 0.321349i
\(249\) 22.5327 + 10.6661i 1.42795 + 0.675935i
\(250\) −3.44697 + 14.2855i −0.218005 + 0.903497i
\(251\) −7.67295 4.42998i −0.484312 0.279618i 0.237899 0.971290i \(-0.423541\pi\)
−0.722212 + 0.691672i \(0.756874\pi\)
\(252\) 0.664157 4.85275i 0.0418380 0.305695i
\(253\) −32.7949 + 18.9341i −2.06180 + 1.19038i
\(254\) −5.27483 17.8827i −0.330972 1.12206i
\(255\) 7.25569 10.2358i 0.454369 0.640993i
\(256\) 15.6802 3.18306i 0.980011 0.198941i
\(257\) −2.93606 16.6512i −0.183146 1.03868i −0.928314 0.371798i \(-0.878742\pi\)
0.745167 0.666878i \(-0.232370\pi\)
\(258\) 2.60500 16.6416i 0.162180 1.03606i
\(259\) −2.79542 + 3.33146i −0.173699 + 0.207007i
\(260\) −6.87325 + 9.07777i −0.426261 + 0.562979i
\(261\) −21.3594 18.3473i −1.32211 1.13567i
\(262\) 8.97949 + 18.0618i 0.554755 + 1.11586i
\(263\) 25.9536 9.44634i 1.60037 0.582487i 0.620866 0.783917i \(-0.286781\pi\)
0.979503 + 0.201430i \(0.0645590\pi\)
\(264\) 27.1534 + 2.86727i 1.67118 + 0.176468i
\(265\) −5.43786 + 4.56290i −0.334045 + 0.280297i
\(266\) 0.677489 0.500116i 0.0415395 0.0306641i
\(267\) 12.2332 12.0927i 0.748662 0.740062i
\(268\) −2.12766 9.31317i −0.129967 0.568893i
\(269\) 0.151914i 0.00926235i −0.999989 0.00463118i \(-0.998526\pi\)
0.999989 0.00463118i \(-0.00147415\pi\)
\(270\) −11.2948 13.2519i −0.687381 0.806487i
\(271\) −15.3499 −0.932442 −0.466221 0.884668i \(-0.654385\pi\)
−0.466221 + 0.884668i \(0.654385\pi\)
\(272\) −7.14224 9.92576i −0.433062 0.601838i
\(273\) 3.28647 0.860290i 0.198906 0.0520671i
\(274\) 11.4098 + 15.4565i 0.689294 + 0.933762i
\(275\) −2.20175 2.62395i −0.132771 0.158230i
\(276\) 12.6330 19.8587i 0.760417 1.19535i
\(277\) 7.89627 + 21.6948i 0.474441 + 1.30351i 0.914150 + 0.405375i \(0.132859\pi\)
−0.439710 + 0.898140i \(0.644919\pi\)
\(278\) 6.81731 + 13.7127i 0.408875 + 0.822434i
\(279\) 3.90175 + 4.76055i 0.233591 + 0.285007i
\(280\) 1.80854 + 5.16348i 0.108081 + 0.308577i
\(281\) 4.24157 + 3.55910i 0.253031 + 0.212318i 0.760476 0.649366i \(-0.224966\pi\)
−0.507445 + 0.861684i \(0.669410\pi\)
\(282\) −16.7525 + 20.7641i −0.997594 + 1.23648i
\(283\) −5.09313 + 0.898056i −0.302755 + 0.0533839i −0.322962 0.946412i \(-0.604679\pi\)
0.0202070 + 0.999796i \(0.493567\pi\)
\(284\) −14.6888 + 9.49125i −0.871619 + 0.563202i
\(285\) 0.278132 2.98065i 0.0164751 0.176558i
\(286\) 5.35789 + 18.1643i 0.316819 + 1.07408i
\(287\) −3.03611 5.25870i −0.179216 0.310411i
\(288\) −15.7886 + 6.22247i −0.930354 + 0.366663i
\(289\) 3.82711 6.62876i 0.225124 0.389927i
\(290\) 30.5745 + 7.37732i 1.79539 + 0.433211i
\(291\) −15.2712 22.0798i −0.895211 1.29434i
\(292\) 9.34852 + 4.79031i 0.547080 + 0.280332i
\(293\) 5.24603 14.4133i 0.306476 0.842036i −0.686861 0.726789i \(-0.741012\pi\)
0.993337 0.115247i \(-0.0367660\pi\)
\(294\) −5.02441 + 14.6780i −0.293030 + 0.856036i
\(295\) −0.536113 + 3.04045i −0.0312137 + 0.177022i
\(296\) 14.8062 + 2.79683i 0.860596 + 0.162562i
\(297\) −28.8898 + 2.02375i −1.67636 + 0.117430i
\(298\) 8.61723 12.9869i 0.499182 0.752309i
\(299\) 16.0766 + 2.83474i 0.929733 + 0.163937i
\(300\) 1.96743 + 0.813416i 0.113590 + 0.0469626i
\(301\) 1.91998 5.27509i 0.110666 0.304051i
\(302\) −1.20092 + 0.135434i −0.0691049 + 0.00779335i
\(303\) −1.35803 16.6281i −0.0780165 0.955258i
\(304\) −2.65995 1.19891i −0.152558 0.0687625i
\(305\) 1.83163 3.17248i 0.104879 0.181656i
\(306\) 9.29406 + 9.04679i 0.531306 + 0.517170i
\(307\) −13.3505 + 7.70794i −0.761956 + 0.439916i −0.829998 0.557767i \(-0.811658\pi\)
0.0680415 + 0.997682i \(0.478325\pi\)
\(308\) 8.69589 + 2.68040i 0.495494 + 0.152730i
\(309\) −1.16331 + 0.534300i −0.0661782 + 0.0303952i
\(310\) −6.30196 2.74876i −0.357927 0.156119i
\(311\) 3.82602 + 21.6984i 0.216954 + 1.23040i 0.877484 + 0.479605i \(0.159220\pi\)
−0.660531 + 0.750799i \(0.729669\pi\)
\(312\) −8.17244 8.47104i −0.462673 0.479578i
\(313\) 21.5889 + 18.1152i 1.22027 + 1.02393i 0.998810 + 0.0487638i \(0.0155281\pi\)
0.221465 + 0.975168i \(0.428916\pi\)
\(314\) 5.35820 + 0.333881i 0.302381 + 0.0188420i
\(315\) −2.84321 5.05866i −0.160197 0.285023i
\(316\) 8.45141 + 1.05736i 0.475429 + 0.0594810i
\(317\) −12.0843 33.2014i −0.678722 1.86477i −0.456307 0.889823i \(-0.650828\pi\)
−0.222416 0.974952i \(-0.571394\pi\)
\(318\) −3.79081 6.28325i −0.212578 0.352347i
\(319\) 40.0732 33.6254i 2.24367 1.88266i
\(320\) 12.5343 14.2205i 0.700690 0.794952i
\(321\) 1.10620 4.03501i 0.0617420 0.225212i
\(322\) 5.40588 5.68356i 0.301258 0.316733i
\(323\) 2.22988i 0.124074i
\(324\) 15.3402 9.41698i 0.852231 0.523166i
\(325\) 1.47662i 0.0819080i
\(326\) −16.0705 15.2853i −0.890060 0.846575i
\(327\) 2.41619 8.81339i 0.133616 0.487382i
\(328\) −10.7403 + 18.0910i −0.593035 + 0.998910i
\(329\) −6.81117 + 5.71525i −0.375512 + 0.315092i
\(330\) 27.6984 16.7110i 1.52474 0.919908i
\(331\) 2.25679 + 6.20048i 0.124044 + 0.340809i 0.986135 0.165945i \(-0.0530674\pi\)
−0.862091 + 0.506754i \(0.830845\pi\)
\(332\) 3.57360 28.5636i 0.196127 1.56763i
\(333\) −15.9811 0.184643i −0.875756 0.0101183i
\(334\) 0.0381095 0.611590i 0.00208526 0.0334647i
\(335\) −8.67017 7.27514i −0.473702 0.397483i
\(336\) −5.56268 + 1.02160i −0.303469 + 0.0557329i
\(337\) −3.49402 19.8156i −0.190331 1.07942i −0.918912 0.394462i \(-0.870931\pi\)
0.728581 0.684960i \(-0.240180\pi\)
\(338\) −4.08626 + 9.36841i −0.222263 + 0.509574i
\(339\) 22.1605 10.1782i 1.20359 0.552804i
\(340\) −13.8448 4.26748i −0.750840 0.231437i
\(341\) −9.90325 + 5.71764i −0.536291 + 0.309628i
\(342\) 2.99972 + 0.760582i 0.162206 + 0.0411276i
\(343\) −5.44232 + 9.42638i −0.293858 + 0.508977i
\(344\) −19.1943 + 3.14427i −1.03489 + 0.169527i
\(345\) −2.26982 27.7923i −0.122203 1.49629i
\(346\) 1.00558 + 8.91664i 0.0540603 + 0.479362i
\(347\) −1.25968 + 3.46095i −0.0676232 + 0.185793i −0.968901 0.247448i \(-0.920408\pi\)
0.901278 + 0.433241i \(0.142630\pi\)
\(348\) −12.4226 + 30.0468i −0.665920 + 1.61068i
\(349\) 25.7001 + 4.53163i 1.37570 + 0.242572i 0.812120 0.583491i \(-0.198314\pi\)
0.563577 + 0.826063i \(0.309425\pi\)
\(350\) 0.591199 + 0.392280i 0.0316009 + 0.0209683i
\(351\) 10.1012 + 7.33703i 0.539161 + 0.391622i
\(352\) −6.64761 30.8196i −0.354319 1.64269i
\(353\) −5.13961 + 29.1482i −0.273554 + 1.55140i 0.469965 + 0.882685i \(0.344267\pi\)
−0.743519 + 0.668715i \(0.766845\pi\)
\(354\) −3.01955 1.03362i −0.160487 0.0549365i
\(355\) −7.08647 + 19.4699i −0.376111 + 1.03336i
\(356\) −17.6768 9.05785i −0.936869 0.480065i
\(357\) 2.45879 + 3.55505i 0.130133 + 0.188153i
\(358\) 8.75155 36.2698i 0.462534 1.91692i
\(359\) 6.44307 11.1597i 0.340052 0.588988i −0.644390 0.764697i \(-0.722889\pi\)
0.984442 + 0.175709i \(0.0562219\pi\)
\(360\) −10.4631 + 17.1690i −0.551451 + 0.904885i
\(361\) −9.23398 15.9937i −0.485999 0.841775i
\(362\) 15.8808 4.68432i 0.834674 0.246202i
\(363\) 3.22870 34.6009i 0.169463 1.81608i
\(364\) −2.12894 3.29478i −0.111587 0.172693i
\(365\) 12.2560 2.16107i 0.641510 0.113116i
\(366\) 2.94728 + 2.37787i 0.154057 + 0.124293i
\(367\) −7.76761 6.51780i −0.405466 0.340226i 0.417136 0.908844i \(-0.363034\pi\)
−0.822602 + 0.568618i \(0.807478\pi\)
\(368\) −26.3398 6.69556i −1.37306 0.349030i
\(369\) 7.87402 20.8799i 0.409905 1.08696i
\(370\) 15.9855 7.94721i 0.831045 0.413156i
\(371\) −0.836438 2.29810i −0.0434257 0.119311i
\(372\) 3.81486 5.99685i 0.197791 0.310922i
\(373\) 6.70393 + 7.98944i 0.347117 + 0.413677i 0.911150 0.412074i \(-0.135196\pi\)
−0.564034 + 0.825752i \(0.690751\pi\)
\(374\) −19.3863 + 14.3108i −1.00244 + 0.739993i
\(375\) −17.4116 + 4.55779i −0.899132 + 0.235363i
\(376\) 28.8186 + 10.8878i 1.48620 + 0.561497i
\(377\) −22.5511 −1.16144
\(378\) 5.62105 2.09508i 0.289115 0.107759i
\(379\) 14.1280i 0.725707i 0.931846 + 0.362853i \(0.118197\pi\)
−0.931846 + 0.362853i \(0.881803\pi\)
\(380\) −3.36988 + 0.769873i −0.172871 + 0.0394936i
\(381\) 16.2396 16.0530i 0.831978 0.822421i
\(382\) 17.4695 + 23.6653i 0.893818 + 1.21082i
\(383\) −8.29387 + 6.95938i −0.423797 + 0.355608i −0.829605 0.558350i \(-0.811434\pi\)
0.405808 + 0.913958i \(0.366990\pi\)
\(384\) 12.5198 + 15.0750i 0.638898 + 0.769291i
\(385\) 10.1307 3.68726i 0.516306 0.187920i
\(386\) −5.11609 + 2.54348i −0.260402 + 0.129460i
\(387\) 19.4660 6.83142i 0.989514 0.347261i
\(388\) −18.7126 + 24.7145i −0.949990 + 1.25469i
\(389\) −11.3791 + 13.5611i −0.576945 + 0.687577i −0.973041 0.230633i \(-0.925920\pi\)
0.396096 + 0.918209i \(0.370365\pi\)
\(390\) −13.7775 2.15666i −0.697652 0.109207i
\(391\) 3.60684 + 20.4554i 0.182406 + 1.03447i
\(392\) 17.9128 + 0.217874i 0.904733 + 0.0110043i
\(393\) −14.2863 + 20.1542i −0.720651 + 1.01665i
\(394\) 24.6274 7.26429i 1.24071 0.365970i
\(395\) 8.73898 5.04545i 0.439706 0.253864i
\(396\) 12.6390 + 30.9604i 0.635134 + 1.55582i
\(397\) −29.7791 17.1929i −1.49457 0.862889i −0.494587 0.869128i \(-0.664681\pi\)
−0.999981 + 0.00623882i \(0.998014\pi\)
\(398\) 24.3318 + 5.87103i 1.21964 + 0.294288i
\(399\) 0.932177 + 0.441255i 0.0466672 + 0.0220904i
\(400\) 0.182714 2.45150i 0.00913572 0.122575i
\(401\) −7.23952 2.63497i −0.361525 0.131584i 0.154870 0.987935i \(-0.450504\pi\)
−0.516395 + 0.856351i \(0.672726\pi\)
\(402\) 8.81634 7.69190i 0.439719 0.383637i
\(403\) 4.85474 + 0.856021i 0.241832 + 0.0426415i
\(404\) −17.7501 + 7.48655i −0.883103 + 0.372470i
\(405\) 7.75484 19.8656i 0.385341 0.987131i
\(406\) −5.99095 + 9.02885i −0.297326 + 0.448094i
\(407\) 5.15596 29.2409i 0.255571 1.44942i
\(408\) 6.57185 13.4577i 0.325355 0.666255i
\(409\) 0.988723 + 0.359866i 0.0488892 + 0.0177942i 0.366349 0.930478i \(-0.380608\pi\)
−0.317460 + 0.948272i \(0.602830\pi\)
\(410\) 2.79335 + 24.7691i 0.137954 + 1.22326i
\(411\) −10.0670 + 21.2671i −0.496567 + 1.04903i
\(412\) 1.00564 + 1.08338i 0.0495442 + 0.0533742i
\(413\) −0.921140 0.531820i −0.0453263 0.0261692i
\(414\) 28.7476 + 2.12500i 1.41287 + 0.104438i
\(415\) −17.0524 29.5356i −0.837067 1.44984i
\(416\) −6.34480 + 12.0197i −0.311080 + 0.589314i
\(417\) −10.8463 + 15.3013i −0.531147 + 0.749306i
\(418\) −2.29857 + 5.26983i −0.112427 + 0.257756i
\(419\) −5.20073 + 0.917030i −0.254073 + 0.0447998i −0.299234 0.954180i \(-0.596731\pi\)
0.0451611 + 0.998980i \(0.485620\pi\)
\(420\) −4.52362 + 4.94321i −0.220730 + 0.241204i
\(421\) 20.0672 23.9151i 0.978013 1.16555i −0.00818210 0.999967i \(-0.502604\pi\)
0.986196 0.165585i \(-0.0529511\pi\)
\(422\) −6.57484 0.409693i −0.320058 0.0199435i
\(423\) −32.1114 6.04543i −1.56131 0.293939i
\(424\) −5.52517 + 6.42432i −0.268326 + 0.311992i
\(425\) −1.76550 + 0.642590i −0.0856394 + 0.0311702i
\(426\) −18.7520 10.3502i −0.908539 0.501470i
\(427\) 0.811230 + 0.966786i 0.0392582 + 0.0467861i
\(428\) −4.82509 + 0.241791i −0.233230 + 0.0116874i
\(429\) −16.4953 + 16.3058i −0.796400 + 0.787251i
\(430\) −15.8813 + 16.6971i −0.765864 + 0.805204i
\(431\) 3.25058 0.156575 0.0782874 0.996931i \(-0.475055\pi\)
0.0782874 + 0.996931i \(0.475055\pi\)
\(432\) −15.8622 13.4309i −0.763171 0.646196i
\(433\) −5.78000 −0.277769 −0.138885 0.990309i \(-0.544352\pi\)
−0.138885 + 0.990309i \(0.544352\pi\)
\(434\) 1.63244 1.71630i 0.0783599 0.0823849i
\(435\) 9.75475 + 37.2650i 0.467705 + 1.78672i
\(436\) −10.5391 + 0.528128i −0.504732 + 0.0252928i
\(437\) 3.18559 + 3.79644i 0.152388 + 0.181608i
\(438\) 0.247742 + 12.8628i 0.0118376 + 0.614608i
\(439\) −9.84846 + 3.58454i −0.470041 + 0.171081i −0.566171 0.824288i \(-0.691576\pi\)
0.0961299 + 0.995369i \(0.469354\pi\)
\(440\) −28.3202 24.3565i −1.35011 1.16115i
\(441\) −18.7490 + 3.08305i −0.892810 + 0.146812i
\(442\) 10.3675 + 0.646023i 0.493132 + 0.0307282i
\(443\) −6.84059 + 8.15230i −0.325006 + 0.387327i −0.903663 0.428244i \(-0.859133\pi\)
0.578657 + 0.815571i \(0.303577\pi\)
\(444\) 5.56100 + 17.5968i 0.263913 + 0.835105i
\(445\) −23.1745 + 4.08630i −1.09858 + 0.193709i
\(446\) −14.4352 + 33.0949i −0.683525 + 1.56709i
\(447\) 19.0060 + 1.77350i 0.898952 + 0.0838835i
\(448\) 3.12680 + 5.73346i 0.147728 + 0.270881i
\(449\) 10.3809 + 17.9803i 0.489906 + 0.848542i 0.999933 0.0116165i \(-0.00369773\pi\)
−0.510026 + 0.860159i \(0.670364\pi\)
\(450\) 0.262248 + 2.59420i 0.0123625 + 0.122292i
\(451\) 35.9035 + 20.7289i 1.69063 + 0.976087i
\(452\) −19.1570 20.6379i −0.901068 0.970726i
\(453\) −0.841955 1.21734i −0.0395585 0.0571958i
\(454\) 1.38447 + 12.2763i 0.0649763 + 0.576155i
\(455\) −4.36722 1.58954i −0.204738 0.0745186i
\(456\) −0.247535 3.56480i −0.0115919 0.166937i
\(457\) −2.42319 + 13.7426i −0.113352 + 0.642851i 0.874201 + 0.485564i \(0.161386\pi\)
−0.987553 + 0.157287i \(0.949725\pi\)
\(458\) 5.99100 9.02893i 0.279941 0.421894i
\(459\) −4.37664 + 15.2703i −0.204284 + 0.712755i
\(460\) −29.6677 + 12.5131i −1.38327 + 0.583426i
\(461\) 0.0322801 + 0.00569184i 0.00150343 + 0.000265096i 0.174400 0.984675i \(-0.444201\pi\)
−0.172896 + 0.984940i \(0.555313\pi\)
\(462\) 2.14625 + 10.9361i 0.0998526 + 0.508793i
\(463\) −24.6873 8.98546i −1.14732 0.417590i −0.302767 0.953065i \(-0.597910\pi\)
−0.844551 + 0.535475i \(0.820133\pi\)
\(464\) 37.4396 + 2.79044i 1.73809 + 0.129543i
\(465\) −0.685429 8.39260i −0.0317860 0.389197i
\(466\) −12.7768 3.08292i −0.591875 0.142814i
\(467\) −6.99161 4.03661i −0.323533 0.186792i 0.329433 0.944179i \(-0.393142\pi\)
−0.652966 + 0.757387i \(0.726476\pi\)
\(468\) 4.40527 13.7264i 0.203634 0.634504i
\(469\) 3.37686 1.94963i 0.155929 0.0900255i
\(470\) 35.0073 10.3260i 1.61476 0.476304i
\(471\) 2.74431 + 5.97507i 0.126451 + 0.275316i
\(472\) −0.0448210 + 3.68503i −0.00206306 + 0.169617i
\(473\) 6.65539 + 37.7446i 0.306015 + 1.73550i
\(474\) 3.75589 + 9.73189i 0.172514 + 0.447001i
\(475\) −0.288148 + 0.343402i −0.0132211 + 0.0157564i
\(476\) 3.01290 3.97925i 0.138096 0.182389i
\(477\) 4.58335 7.73093i 0.209857 0.353975i
\(478\) 10.7458 5.34229i 0.491501 0.244351i
\(479\) 23.7888 8.65842i 1.08694 0.395613i 0.264453 0.964399i \(-0.414809\pi\)
0.822486 + 0.568785i \(0.192587\pi\)
\(480\) 22.6067 + 5.28533i 1.03185 + 0.241241i
\(481\) −9.80529 + 8.22762i −0.447083 + 0.375147i
\(482\) −2.60697 3.53157i −0.118744 0.160859i
\(483\) 9.26489 + 2.53997i 0.421567 + 0.115573i
\(484\) −39.1194 + 8.93710i −1.77815 + 0.406232i
\(485\) 36.7268i 1.66768i
\(486\) 19.0493 + 11.0961i 0.864095 + 0.503329i
\(487\) −11.9724 −0.542520 −0.271260 0.962506i \(-0.587440\pi\)
−0.271260 + 0.962506i \(0.587440\pi\)
\(488\) 1.54543 4.09055i 0.0699584 0.185170i
\(489\) 7.18185 26.1968i 0.324775 1.18466i
\(490\) 17.0754 12.6049i 0.771387 0.569431i
\(491\) 2.49167 + 2.96946i 0.112448 + 0.134010i 0.819332 0.573319i \(-0.194344\pi\)
−0.706885 + 0.707329i \(0.749900\pi\)
\(492\) −25.7436 1.10698i −1.16061 0.0499066i
\(493\) −9.81370 26.9629i −0.441987 1.21435i
\(494\) 2.21933 1.10334i 0.0998522 0.0496418i
\(495\) 34.0801 + 20.2047i 1.53179 + 0.908133i
\(496\) −7.95397 2.02190i −0.357144 0.0907858i
\(497\) −5.46816 4.58833i −0.245280 0.205815i
\(498\) 32.8914 12.6940i 1.47390 0.568830i
\(499\) −7.13635 + 1.25833i −0.319467 + 0.0563307i −0.331082 0.943602i \(-0.607414\pi\)
0.0116153 + 0.999933i \(0.496303\pi\)
\(500\) 11.2791 + 17.4556i 0.504415 + 0.780640i
\(501\) 0.681999 0.313238i 0.0304695 0.0139944i
\(502\) −12.0180 + 3.54492i −0.536388 + 0.158217i
\(503\) −14.1108 24.4406i −0.629168 1.08975i −0.987719 0.156241i \(-0.950062\pi\)
0.358551 0.933510i \(-0.383271\pi\)
\(504\) −4.32538 5.41033i −0.192668 0.240995i
\(505\) −11.4118 + 19.7658i −0.507818 + 0.879566i
\(506\) −12.5615 + 52.0597i −0.558427 + 2.31434i
\(507\) −12.4763 + 1.01895i −0.554093 + 0.0452531i
\(508\) −23.4659 12.0243i −1.04113 0.533490i
\(509\) 4.18088 11.4869i 0.185314 0.509147i −0.811895 0.583803i \(-0.801564\pi\)
0.997209 + 0.0746568i \(0.0237861\pi\)
\(510\) −3.41707 17.4115i −0.151310 0.770992i
\(511\) −0.744521 + 4.22239i −0.0329357 + 0.186788i
\(512\) 12.0210 19.1702i 0.531259 0.847209i
\(513\) 0.917372 + 3.67745i 0.0405030 + 0.162363i
\(514\) −19.9245 13.2206i −0.878831 0.583134i
\(515\) 1.72467 + 0.304106i 0.0759982 + 0.0134005i
\(516\) −14.5140 18.8892i −0.638944 0.831552i
\(517\) 20.7624 57.0444i 0.913131 2.50881i
\(518\) 0.689233 + 6.11154i 0.0302832 + 0.268526i
\(519\) −9.03861 + 6.25140i −0.396751 + 0.274406i
\(520\) 2.60312 + 15.8908i 0.114154 + 0.696859i
\(521\) 3.67878 6.37183i 0.161170 0.279155i −0.774118 0.633041i \(-0.781807\pi\)
0.935289 + 0.353886i \(0.115140\pi\)
\(522\) −39.6189 + 4.00508i −1.73407 + 0.175297i
\(523\) 15.4796 8.93716i 0.676877 0.390795i −0.121801 0.992555i \(-0.538867\pi\)
0.798677 + 0.601760i \(0.205533\pi\)
\(524\) 27.2602 + 8.40261i 1.19087 + 0.367070i
\(525\) −0.0807346 + 0.865206i −0.00352355 + 0.0377607i
\(526\) 15.6160 35.8021i 0.680889 1.56104i
\(527\) 1.08918 + 6.17703i 0.0474453 + 0.269076i
\(528\) 29.4033 25.0300i 1.27962 1.08929i
\(529\) 17.7442 + 14.8892i 0.771487 + 0.647355i
\(530\) −0.624339 + 10.0195i −0.0271196 + 0.435220i
\(531\) −0.634246 3.85705i −0.0275239 0.167382i
\(532\) 0.147840 1.18168i 0.00640966 0.0512321i
\(533\) −6.11260 16.7942i −0.264766 0.727438i
\(534\) −0.468448 24.3218i −0.0202717 1.05251i
\(535\) −4.38462 + 3.67914i −0.189564 + 0.159063i
\(536\) −11.6171 6.89688i −0.501783 0.297900i
\(537\) 44.2066 11.5718i 1.90766 0.499362i
\(538\) −0.155669 0.148064i −0.00671137 0.00638347i
\(539\) 35.3002i 1.52049i
\(540\) −24.5881 1.34205i −1.05810 0.0577525i
\(541\) 16.9095i 0.726997i −0.931595 0.363499i \(-0.881582\pi\)
0.931595 0.363499i \(-0.118418\pi\)
\(542\) −14.9609 + 15.7294i −0.642625 + 0.675634i
\(543\) 14.2559 + 14.4216i 0.611779 + 0.618888i
\(544\) −17.1323 2.35540i −0.734543 0.100987i
\(545\) −9.57704 + 8.03609i −0.410235 + 0.344228i
\(546\) 2.32162 4.20619i 0.0993560 0.180008i
\(547\) −7.35226 20.2002i −0.314360 0.863696i −0.991763 0.128085i \(-0.959117\pi\)
0.677403 0.735612i \(-0.263105\pi\)
\(548\) 26.9592 + 3.37288i 1.15164 + 0.144082i
\(549\) −0.858096 + 4.55793i −0.0366226 + 0.194528i
\(550\) −4.83475 0.301264i −0.206155 0.0128460i
\(551\) −5.24447 4.40063i −0.223422 0.187473i
\(552\) −8.03679 32.3007i −0.342069 1.37481i
\(553\) 0.603683 + 3.42365i 0.0256712 + 0.145589i
\(554\) 29.9272 + 13.0535i 1.27149 + 0.554590i
\(555\) 17.8373 + 12.6440i 0.757151 + 0.536708i
\(556\) 20.6962 + 6.37933i 0.877714 + 0.270544i
\(557\) 4.92698 2.84459i 0.208763 0.120529i −0.391974 0.919976i \(-0.628208\pi\)
0.600736 + 0.799447i \(0.294874\pi\)
\(558\) 8.68108 + 0.641699i 0.367499 + 0.0271653i
\(559\) 8.26115 14.3087i 0.349409 0.605195i
\(560\) 7.05382 + 3.17936i 0.298078 + 0.134353i
\(561\) −26.6742 12.6265i −1.12619 0.533091i
\(562\) 7.78115 0.877524i 0.328228 0.0370161i
\(563\) 2.37413 6.52288i 0.100058 0.274907i −0.879556 0.475795i \(-0.842161\pi\)
0.979614 + 0.200888i \(0.0643828\pi\)
\(564\) 4.94947 + 37.4043i 0.208410 + 1.57501i
\(565\) −32.8543 5.79311i −1.38219 0.243718i
\(566\) −4.04379 + 6.09432i −0.169973 + 0.256163i
\(567\) 5.51751 + 4.85133i 0.231713 + 0.203737i
\(568\) −4.59063 + 24.3026i −0.192619 + 1.01971i
\(569\) 4.94312 28.0338i 0.207226 1.17524i −0.686671 0.726968i \(-0.740929\pi\)
0.893898 0.448271i \(-0.147960\pi\)
\(570\) −2.78324 3.19011i −0.116577 0.133619i
\(571\) −4.68351 + 12.8678i −0.195999 + 0.538503i −0.998292 0.0584282i \(-0.981391\pi\)
0.802293 + 0.596931i \(0.203613\pi\)
\(572\) 23.8354 + 12.2136i 0.996608 + 0.510676i
\(573\) −15.4134 + 32.5618i −0.643906 + 1.36029i
\(574\) −8.34784 2.01425i −0.348432 0.0840733i
\(575\) −2.08782 + 3.61622i −0.0870682 + 0.150807i
\(576\) −9.01217 + 22.2437i −0.375507 + 0.926819i
\(577\) 5.00377 + 8.66678i 0.208309 + 0.360803i 0.951182 0.308630i \(-0.0998705\pi\)
−0.742873 + 0.669433i \(0.766537\pi\)
\(578\) −3.06250 10.3825i −0.127383 0.431854i
\(579\) −5.70876 4.04667i −0.237248 0.168174i
\(580\) 37.3592 24.1399i 1.55126 1.00235i
\(581\) 11.5711 2.04030i 0.480050 0.0846457i
\(582\) −37.5097 5.87158i −1.55483 0.243385i
\(583\) 12.7907 + 10.7327i 0.529738 + 0.444503i
\(584\) 14.0203 4.91070i 0.580164 0.203206i
\(585\) −5.65570 16.1158i −0.233834 0.666307i
\(586\) −9.65655 19.4237i −0.398909 0.802387i
\(587\) 3.75574 + 10.3188i 0.155016 + 0.425903i 0.992753 0.120171i \(-0.0383442\pi\)
−0.837737 + 0.546073i \(0.816122\pi\)
\(588\) 10.1437 + 19.4545i 0.418319 + 0.802292i
\(589\) 0.961972 + 1.14643i 0.0396373 + 0.0472380i
\(590\) 2.59308 + 3.51275i 0.106755 + 0.144618i
\(591\) 22.1076 + 22.3645i 0.909385 + 0.919952i
\(592\) 17.2969 12.4463i 0.710900 0.511540i
\(593\) 20.1534 0.827600 0.413800 0.910368i \(-0.364201\pi\)
0.413800 + 0.910368i \(0.364201\pi\)
\(594\) −26.0838 + 31.5764i −1.07023 + 1.29560i
\(595\) 5.91334i 0.242423i
\(596\) −4.90907 21.4879i −0.201083 0.880180i
\(597\) 7.76304 + 29.6563i 0.317720 + 1.21375i
\(598\) 18.5739 13.7111i 0.759545 0.560688i
\(599\) 19.4387 16.3110i 0.794245 0.666451i −0.152547 0.988296i \(-0.548748\pi\)
0.946792 + 0.321845i \(0.104303\pi\)
\(600\) 2.75109 1.22326i 0.112313 0.0499394i
\(601\) 33.1175 12.0538i 1.35089 0.491685i 0.437666 0.899137i \(-0.355805\pi\)
0.913226 + 0.407453i \(0.133583\pi\)
\(602\) −3.53417 7.10882i −0.144042 0.289734i
\(603\) 13.4080 + 5.05628i 0.546015 + 0.205908i
\(604\) −1.03170 + 1.36260i −0.0419791 + 0.0554435i
\(605\) −30.5588 + 36.4185i −1.24239 + 1.48062i
\(606\) −18.3627 14.8150i −0.745934 0.601820i
\(607\) 6.30962 + 35.7836i 0.256099 + 1.45241i 0.793235 + 0.608916i \(0.208395\pi\)
−0.537135 + 0.843496i \(0.680494\pi\)
\(608\) −3.82108 + 1.55717i −0.154965 + 0.0631515i
\(609\) −13.2135 1.23299i −0.535439 0.0499632i
\(610\) −1.46569 4.96898i −0.0593441 0.201188i
\(611\) −22.6634 + 13.0847i −0.916863 + 0.529351i
\(612\) 18.3289 0.706306i 0.740902 0.0285507i
\(613\) 4.83669 + 2.79246i 0.195352 + 0.112786i 0.594486 0.804106i \(-0.297356\pi\)
−0.399134 + 0.916893i \(0.630689\pi\)
\(614\) −5.11370 + 21.1931i −0.206372 + 0.855285i
\(615\) −25.1079 + 17.3654i −1.01245 + 0.700242i
\(616\) 11.2221 6.29838i 0.452153 0.253769i
\(617\) −33.3230 12.1286i −1.34154 0.488279i −0.431239 0.902238i \(-0.641924\pi\)
−0.910296 + 0.413959i \(0.864146\pi\)
\(618\) −0.586316 + 1.71282i −0.0235851 + 0.0688997i
\(619\) 3.57695 + 0.630714i 0.143770 + 0.0253505i 0.245070 0.969505i \(-0.421189\pi\)
−0.101300 + 0.994856i \(0.532300\pi\)
\(620\) −8.95893 + 3.77865i −0.359799 + 0.151754i
\(621\) 14.3636 + 32.2506i 0.576393 + 1.29417i
\(622\) 25.9638 + 17.2279i 1.04105 + 0.690775i
\(623\) 1.40779 7.98399i 0.0564020 0.319872i
\(624\) −16.6457 + 0.118114i −0.666363 + 0.00472833i
\(625\) 26.0249 + 9.47231i 1.04100 + 0.378892i
\(626\) 39.6047 4.46644i 1.58292 0.178515i
\(627\) −7.01806 + 0.573170i −0.280274 + 0.0228902i
\(628\) 5.56453 5.16523i 0.222049 0.206115i
\(629\) −14.1043 8.14312i −0.562375 0.324687i
\(630\) −7.95485 2.01696i −0.316929 0.0803576i
\(631\) −7.14123 12.3690i −0.284288 0.492401i 0.688148 0.725570i \(-0.258424\pi\)
−0.972436 + 0.233169i \(0.925090\pi\)
\(632\) 9.32070 7.62976i 0.370757 0.303495i
\(633\) −3.36744 7.33177i −0.133844 0.291412i
\(634\) −45.8001 19.9768i −1.81895 0.793382i
\(635\) −30.7641 + 5.42454i −1.22084 + 0.215266i
\(636\) −10.1333 2.23949i −0.401811 0.0888015i
\(637\) −9.78164 + 11.6573i −0.387563 + 0.461879i
\(638\) 4.60094 73.8369i 0.182153 2.92323i
\(639\) 0.303067 26.2309i 0.0119891 1.03768i
\(640\) −2.35542 26.7043i −0.0931062 1.05558i
\(641\) −23.2736 + 8.47090i −0.919252 + 0.334580i −0.757941 0.652323i \(-0.773794\pi\)
−0.161311 + 0.986904i \(0.551572\pi\)
\(642\) −3.05659 5.06628i −0.120634 0.199950i
\(643\) −0.0600848 0.0716063i −0.00236951 0.00282388i 0.764858 0.644198i \(-0.222809\pi\)
−0.767228 + 0.641375i \(0.778364\pi\)
\(644\) −0.555183 11.0790i −0.0218773 0.436575i
\(645\) −27.2182 7.46188i −1.07172 0.293811i
\(646\) 2.28500 + 2.17336i 0.0899021 + 0.0855098i
\(647\) 28.7206 1.12912 0.564562 0.825391i \(-0.309045\pi\)
0.564562 + 0.825391i \(0.309045\pi\)
\(648\) 5.30159 24.8977i 0.208266 0.978072i
\(649\) 7.26196 0.285057
\(650\) 1.51312 + 1.43919i 0.0593494 + 0.0564498i
\(651\) 2.79777 + 0.767010i 0.109653 + 0.0300615i
\(652\) −31.3263 + 1.56980i −1.22683 + 0.0614781i
\(653\) 15.4192 + 18.3759i 0.603402 + 0.719106i 0.978122 0.208032i \(-0.0667057\pi\)
−0.374720 + 0.927138i \(0.622261\pi\)
\(654\) −6.67629 11.0659i −0.261064 0.432712i
\(655\) 31.7580 11.5590i 1.24089 0.451646i
\(656\) 8.07011 + 28.6383i 0.315085 + 1.11814i
\(657\) −13.7357 + 7.72010i −0.535880 + 0.301190i
\(658\) −0.782014 + 12.5499i −0.0304861 + 0.489247i
\(659\) −0.657648 + 0.783755i −0.0256183 + 0.0305307i −0.778701 0.627395i \(-0.784121\pi\)
0.753083 + 0.657925i \(0.228566\pi\)
\(660\) 9.87229 44.6704i 0.384279 1.73879i
\(661\) 9.39844 1.65720i 0.365557 0.0644575i 0.0121473 0.999926i \(-0.496133\pi\)
0.353410 + 0.935469i \(0.385022\pi\)
\(662\) 8.55334 + 3.73075i 0.332435 + 0.145000i
\(663\) 5.30993 + 11.5611i 0.206221 + 0.448995i
\(664\) −25.7867 31.5016i −1.00072 1.22250i
\(665\) −0.705455 1.22188i −0.0273564 0.0473826i
\(666\) −15.7652 + 16.1961i −0.610890 + 0.627587i
\(667\) −55.2272 31.8855i −2.13841 1.23461i
\(668\) −0.589564 0.635140i −0.0228109 0.0245743i
\(669\) −44.0739 + 3.59955i −1.70400 + 0.139167i
\(670\) −15.9054 + 1.79374i −0.614479 + 0.0692982i
\(671\) −8.09695 2.94705i −0.312579 0.113770i
\(672\) −4.37484 + 6.69589i −0.168763 + 0.258300i
\(673\) 5.67344 32.1757i 0.218695 1.24028i −0.655683 0.755037i \(-0.727619\pi\)
0.874378 0.485246i \(-0.161270\pi\)
\(674\) −23.7108 15.7329i −0.913307 0.606010i
\(675\) −2.64725 + 1.78607i −0.101893 + 0.0687457i
\(676\) 5.61729 + 13.3182i 0.216050 + 0.512240i
\(677\) 42.8943 + 7.56342i 1.64856 + 0.290686i 0.919302 0.393553i \(-0.128754\pi\)
0.729258 + 0.684238i \(0.239865\pi\)
\(678\) 11.1691 32.6285i 0.428946 1.25309i
\(679\) −11.8899 4.32756i −0.456292 0.166077i
\(680\) −17.8669 + 10.0277i −0.685163 + 0.384545i
\(681\) −12.4442 + 8.60684i −0.476864 + 0.329815i
\(682\) −3.79327 + 15.7208i −0.145252 + 0.601979i
\(683\) 3.57110 + 2.06177i 0.136644 + 0.0788916i 0.566764 0.823880i \(-0.308195\pi\)
−0.430119 + 0.902772i \(0.641529\pi\)
\(684\) 3.70307 2.33256i 0.141590 0.0891878i
\(685\) 27.8766 16.0945i 1.06511 0.614941i
\(686\) 4.35500 + 14.7643i 0.166275 + 0.563704i
\(687\) 13.2136 + 1.23300i 0.504131 + 0.0470418i
\(688\) −15.4858 + 22.7333i −0.590391 + 0.866699i
\(689\) −1.24991 7.08860i −0.0476178 0.270054i
\(690\) −30.6916 24.7620i −1.16841 0.942672i
\(691\) 10.8896 12.9777i 0.414260 0.493696i −0.518053 0.855349i \(-0.673343\pi\)
0.932313 + 0.361653i \(0.117787\pi\)
\(692\) 10.1171 + 7.66021i 0.384596 + 0.291198i
\(693\) −10.5567 + 8.65230i −0.401017 + 0.328674i
\(694\) 2.31874 + 4.66405i 0.0880182 + 0.177045i
\(695\) 24.1109 8.77566i 0.914579 0.332880i
\(696\) 18.6818 + 42.0149i 0.708131 + 1.59257i
\(697\) 17.4198 14.6169i 0.659820 0.553655i
\(698\) 29.6924 21.9186i 1.12387 0.829633i
\(699\) −4.07643 15.5727i −0.154185 0.589015i
\(700\) 0.978192 0.223475i 0.0369722 0.00844655i
\(701\) 8.56815i 0.323615i −0.986822 0.161807i \(-0.948268\pi\)
0.986822 0.161807i \(-0.0517323\pi\)
\(702\) 17.3636 3.19979i 0.655345 0.120768i
\(703\) −3.88586 −0.146558
\(704\) −38.0605 23.2265i −1.43446 0.875382i
\(705\) 31.4254 + 31.7906i 1.18355 + 1.19730i
\(706\) 24.8593 + 33.6760i 0.935593 + 1.26741i
\(707\) −5.05428 6.02346i −0.190086 0.226535i
\(708\) −4.00219 + 2.08677i −0.150412 + 0.0784255i
\(709\) 14.2988 + 39.2856i 0.537002 + 1.47540i 0.850584 + 0.525839i \(0.176249\pi\)
−0.313582 + 0.949561i \(0.601529\pi\)
\(710\) 13.0443 + 26.2381i 0.489545 + 0.984698i
\(711\) −8.32474 + 9.69141i −0.312202 + 0.363456i
\(712\) −26.5105 + 9.28549i −0.993524 + 0.347988i
\(713\) 10.6788 + 8.96061i 0.399925 + 0.335577i
\(714\) 6.03940 + 0.945377i 0.226019 + 0.0353798i
\(715\) 31.2485 5.50996i 1.16863 0.206061i
\(716\) −28.6366 44.3184i −1.07020 1.65626i
\(717\) 11.9906 + 8.49957i 0.447798 + 0.317422i
\(718\) −5.15581 17.4792i −0.192413 0.652319i
\(719\) 15.6713 + 27.1435i 0.584441 + 1.01228i 0.994945 + 0.100423i \(0.0320195\pi\)
−0.410504 + 0.911859i \(0.634647\pi\)
\(720\) 7.39551 + 27.4555i 0.275614 + 1.02321i
\(721\) −0.301671 + 0.522510i −0.0112348 + 0.0194593i
\(722\) −25.3890 6.12612i −0.944881 0.227991i
\(723\) 2.30015 4.85920i 0.0855434 0.180715i
\(724\) 10.6781 20.8389i 0.396850 0.774472i
\(725\) 1.97288 5.42043i 0.0732708 0.201310i
\(726\) −32.3094 37.0325i −1.19911 1.37440i
\(727\) −4.66774 + 26.4721i −0.173117 + 0.981794i 0.767178 + 0.641434i \(0.221660\pi\)
−0.940295 + 0.340360i \(0.889451\pi\)
\(728\) −5.45120 1.02971i −0.202035 0.0381634i
\(729\) −0.935632 + 26.9838i −0.0346530 + 0.999399i
\(730\) 9.73091 14.6653i 0.360157 0.542786i
\(731\) 20.7031 + 3.65052i 0.765733 + 0.135019i
\(732\) 5.30922 0.702535i 0.196235 0.0259664i
\(733\) 0.226255 0.621630i 0.00835691 0.0229604i −0.935444 0.353475i \(-0.885000\pi\)
0.943801 + 0.330514i \(0.107222\pi\)
\(734\) −14.2496 + 1.60701i −0.525964 + 0.0593159i
\(735\) 23.4945 + 11.1214i 0.866609 + 0.410218i
\(736\) −32.5333 + 20.4650i −1.19919 + 0.754350i
\(737\) −13.3110 + 23.0554i −0.490318 + 0.849255i
\(738\) −13.7216 28.4193i −0.505098 1.04613i
\(739\) 2.80715 1.62071i 0.103263 0.0596186i −0.447479 0.894294i \(-0.647678\pi\)
0.550742 + 0.834676i \(0.314345\pi\)
\(740\) 7.43665 24.1264i 0.273377 0.886904i
\(741\) 2.47642 + 1.75542i 0.0909737 + 0.0644869i
\(742\) −3.17014 1.38274i −0.116379 0.0507618i
\(743\) −4.35112 24.6764i −0.159627 0.905290i −0.954433 0.298426i \(-0.903538\pi\)
0.794806 0.606864i \(-0.207573\pi\)
\(744\) −2.42692 9.75401i −0.0889750 0.357599i
\(745\) −20.0044 16.7857i −0.732903 0.614979i
\(746\) 14.7209 + 0.917295i 0.538972 + 0.0335846i
\(747\) 32.7545 + 28.1355i 1.19843 + 1.02942i
\(748\) −4.23043 + 33.8136i −0.154680 + 1.23635i
\(749\) −0.674433 1.85299i −0.0246432 0.0677067i
\(750\) −12.2999 + 22.2843i −0.449127 + 0.813707i
\(751\) −13.0260 + 10.9301i −0.475325 + 0.398845i −0.848732 0.528823i \(-0.822634\pi\)
0.373408 + 0.927667i \(0.378189\pi\)
\(752\) 39.2451 18.9191i 1.43112 0.689907i
\(753\) −10.7883 10.9137i −0.393149 0.397717i
\(754\) −21.9795 + 23.1085i −0.800446 + 0.841562i
\(755\) 2.02488i 0.0736931i
\(756\) 3.33171 7.80197i 0.121173 0.283755i
\(757\) 11.7321i 0.426412i −0.977007 0.213206i \(-0.931609\pi\)
0.977007 0.213206i \(-0.0683906\pi\)
\(758\) 14.4772 + 13.7699i 0.525837 + 0.500146i
\(759\) −63.4518 + 16.6096i −2.30316 + 0.602891i
\(760\) −2.49557 + 4.20354i −0.0905238 + 0.152478i
\(761\) 0.0993911 0.0833990i 0.00360292 0.00302321i −0.640984 0.767554i \(-0.721474\pi\)
0.644587 + 0.764531i \(0.277029\pi\)
\(762\) −0.621863 32.2871i −0.0225277 1.16964i
\(763\) −1.47312 4.04736i −0.0533304 0.146524i
\(764\) 41.2770 + 5.16418i 1.49335 + 0.186833i
\(765\) 16.8075 13.7754i 0.607675 0.498051i
\(766\) −0.952248 + 15.2819i −0.0344061 + 0.552156i
\(767\) −2.39814 2.01228i −0.0865920 0.0726593i
\(768\) 27.6501 + 1.86363i 0.997736 + 0.0672478i
\(769\) 1.99390 + 11.3080i 0.0719020 + 0.407776i 0.999422 + 0.0340023i \(0.0108254\pi\)
−0.927520 + 0.373774i \(0.878064\pi\)
\(770\) 6.09549 13.9749i 0.219666 0.503619i
\(771\) 2.72090 29.1590i 0.0979909 1.05014i
\(772\) −2.38007 + 7.72156i −0.0856607 + 0.277905i
\(773\) −13.9804 + 8.07158i −0.502839 +