Properties

Label 300.2.n.a.11.14
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.14
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.01770 + 0.981981i) q^{2} +(-1.62298 - 0.604914i) q^{3} +(0.0714277 - 1.99872i) q^{4} +(-0.345709 + 2.20918i) q^{5} +(2.24573 - 0.978119i) q^{6} +0.309856i q^{7} +(1.89002 + 2.10424i) q^{8} +(2.26816 + 1.96353i) q^{9} +O(q^{10})\) \(q+(-1.01770 + 0.981981i) q^{2} +(-1.62298 - 0.604914i) q^{3} +(0.0714277 - 1.99872i) q^{4} +(-0.345709 + 2.20918i) q^{5} +(2.24573 - 0.978119i) q^{6} +0.309856i q^{7} +(1.89002 + 2.10424i) q^{8} +(2.26816 + 1.96353i) q^{9} +(-1.81755 - 2.58776i) q^{10} +(1.53656 - 1.11637i) q^{11} +(-1.32498 + 3.20069i) q^{12} +(-3.79520 - 2.75737i) q^{13} +(-0.304272 - 0.315340i) q^{14} +(1.89744 - 3.37634i) q^{15} +(-3.98980 - 0.285528i) q^{16} +(-4.30413 + 1.39850i) q^{17} +(-4.23646 + 0.229003i) q^{18} +(-5.24788 + 1.70514i) q^{19} +(4.39085 + 0.848774i) q^{20} +(0.187436 - 0.502891i) q^{21} +(-0.467497 + 2.64500i) q^{22} +(-5.20321 + 3.78035i) q^{23} +(-1.79458 - 4.55845i) q^{24} +(-4.76097 - 1.52747i) q^{25} +(6.57006 - 0.920633i) q^{26} +(-2.49342 - 4.55882i) q^{27} +(0.619316 + 0.0221323i) q^{28} +(-6.49757 - 2.11119i) q^{29} +(1.38448 + 5.29936i) q^{30} +(5.73466 - 1.86330i) q^{31} +(4.34080 - 3.62732i) q^{32} +(-3.16912 + 0.882374i) q^{33} +(3.00702 - 5.64982i) q^{34} +(-0.684528 - 0.107120i) q^{35} +(4.08657 - 4.39317i) q^{36} +(3.24583 + 2.35823i) q^{37} +(3.66636 - 6.88864i) q^{38} +(4.49158 + 6.77094i) q^{39} +(-5.30205 + 3.44793i) q^{40} +(-0.902077 + 1.24160i) q^{41} +(0.303076 + 0.695851i) q^{42} -3.75970i q^{43} +(-2.12157 - 3.15090i) q^{44} +(-5.12192 + 4.33197i) q^{45} +(1.58307 - 8.95671i) q^{46} +(-2.19448 + 6.75392i) q^{47} +(6.30266 + 2.87689i) q^{48} +6.90399 q^{49} +(6.34519 - 3.12068i) q^{50} +(7.83151 + 0.333888i) q^{51} +(-5.78231 + 7.38860i) q^{52} +(0.721525 + 0.234438i) q^{53} +(7.01423 + 2.19102i) q^{54} +(1.93507 + 3.78048i) q^{55} +(-0.652012 + 0.585633i) q^{56} +(9.54870 + 0.407098i) q^{57} +(8.68572 - 4.23193i) q^{58} +(-11.0576 - 8.03382i) q^{59} +(-6.61285 - 4.03363i) q^{60} +(-7.66779 + 5.57097i) q^{61} +(-4.00643 + 7.52761i) q^{62} +(-0.608411 + 0.702802i) q^{63} +(-0.855674 + 7.95411i) q^{64} +(7.40358 - 7.43104i) q^{65} +(2.35874 - 4.01001i) q^{66} +(6.37132 - 2.07017i) q^{67} +(2.48778 + 8.70266i) q^{68} +(10.7315 - 2.98796i) q^{69} +(0.801834 - 0.563177i) q^{70} +(-0.750346 + 2.30933i) q^{71} +(0.155113 + 8.48386i) q^{72} +(-7.60274 + 5.52372i) q^{73} +(-5.61902 + 0.787367i) q^{74} +(6.80300 + 5.35903i) q^{75} +(3.03326 + 10.6109i) q^{76} +(0.345915 + 0.476111i) q^{77} +(-11.2200 - 2.48015i) q^{78} +(-1.81171 - 0.588659i) q^{79} +(2.01009 - 8.71548i) q^{80} +(1.28909 + 8.90720i) q^{81} +(-0.301186 - 2.14940i) q^{82} +(0.792743 + 2.43981i) q^{83} +(-0.991753 - 0.410553i) q^{84} +(-1.60156 - 9.99208i) q^{85} +(3.69195 + 3.82625i) q^{86} +(9.26837 + 7.35689i) q^{87} +(5.25324 + 1.12332i) q^{88} +(5.28769 + 7.27788i) q^{89} +(0.958673 - 9.43827i) q^{90} +(0.854388 - 1.17596i) q^{91} +(7.18422 + 10.6698i) q^{92} +(-10.4344 - 0.444859i) q^{93} +(-4.39890 - 9.02841i) q^{94} +(-1.95272 - 12.1830i) q^{95} +(-9.23927 + 3.26128i) q^{96} +(3.88035 - 11.9425i) q^{97} +(-7.02619 + 6.77958i) q^{98} +(5.67719 + 0.484963i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.01770 + 0.981981i −0.719623 + 0.694365i
\(3\) −1.62298 0.604914i −0.937031 0.349247i
\(4\) 0.0714277 1.99872i 0.0357138 0.999362i
\(5\) −0.345709 + 2.20918i −0.154606 + 0.987976i
\(6\) 2.24573 0.978119i 0.916814 0.399315i
\(7\) 0.309856i 0.117114i 0.998284 + 0.0585572i \(0.0186500\pi\)
−0.998284 + 0.0585572i \(0.981350\pi\)
\(8\) 1.89002 + 2.10424i 0.668222 + 0.743962i
\(9\) 2.26816 + 1.96353i 0.756053 + 0.654510i
\(10\) −1.81755 2.58776i −0.574758 0.818323i
\(11\) 1.53656 1.11637i 0.463290 0.336600i −0.331531 0.943444i \(-0.607565\pi\)
0.794820 + 0.606845i \(0.207565\pi\)
\(12\) −1.32498 + 3.20069i −0.382489 + 0.923960i
\(13\) −3.79520 2.75737i −1.05260 0.764758i −0.0798941 0.996803i \(-0.525458\pi\)
−0.972705 + 0.232045i \(0.925458\pi\)
\(14\) −0.304272 0.315340i −0.0813202 0.0842783i
\(15\) 1.89744 3.37634i 0.489918 0.871768i
\(16\) −3.98980 0.285528i −0.997449 0.0713821i
\(17\) −4.30413 + 1.39850i −1.04391 + 0.339185i −0.780274 0.625438i \(-0.784920\pi\)
−0.263631 + 0.964623i \(0.584920\pi\)
\(18\) −4.23646 + 0.229003i −0.998542 + 0.0539765i
\(19\) −5.24788 + 1.70514i −1.20395 + 0.391186i −0.841212 0.540706i \(-0.818157\pi\)
−0.362735 + 0.931892i \(0.618157\pi\)
\(20\) 4.39085 + 0.848774i 0.981824 + 0.189792i
\(21\) 0.187436 0.502891i 0.0409019 0.109740i
\(22\) −0.467497 + 2.64500i −0.0996707 + 0.563917i
\(23\) −5.20321 + 3.78035i −1.08494 + 0.788257i −0.978538 0.206065i \(-0.933934\pi\)
−0.106405 + 0.994323i \(0.533934\pi\)
\(24\) −1.79458 4.55845i −0.366318 0.930490i
\(25\) −4.76097 1.52747i −0.952194 0.305494i
\(26\) 6.57006 0.920633i 1.28850 0.180551i
\(27\) −2.49342 4.55882i −0.479859 0.877345i
\(28\) 0.619316 + 0.0221323i 0.117040 + 0.00418261i
\(29\) −6.49757 2.11119i −1.20657 0.392038i −0.364395 0.931245i \(-0.618724\pi\)
−0.842173 + 0.539207i \(0.818724\pi\)
\(30\) 1.38448 + 5.29936i 0.252769 + 0.967527i
\(31\) 5.73466 1.86330i 1.02997 0.334659i 0.255195 0.966890i \(-0.417860\pi\)
0.774780 + 0.632231i \(0.217860\pi\)
\(32\) 4.34080 3.62732i 0.767352 0.641226i
\(33\) −3.16912 + 0.882374i −0.551673 + 0.153602i
\(34\) 3.00702 5.64982i 0.515699 0.968937i
\(35\) −0.684528 0.107120i −0.115706 0.0181066i
\(36\) 4.08657 4.39317i 0.681094 0.732196i
\(37\) 3.24583 + 2.35823i 0.533611 + 0.387691i 0.821707 0.569911i \(-0.193022\pi\)
−0.288096 + 0.957602i \(0.593022\pi\)
\(38\) 3.66636 6.88864i 0.594762 1.11749i
\(39\) 4.49158 + 6.77094i 0.719228 + 1.08422i
\(40\) −5.30205 + 3.44793i −0.838328 + 0.545166i
\(41\) −0.902077 + 1.24160i −0.140881 + 0.193906i −0.873627 0.486596i \(-0.838238\pi\)
0.732746 + 0.680502i \(0.238238\pi\)
\(42\) 0.303076 + 0.695851i 0.0467656 + 0.107372i
\(43\) 3.75970i 0.573349i −0.958028 0.286674i \(-0.907450\pi\)
0.958028 0.286674i \(-0.0925498\pi\)
\(44\) −2.12157 3.15090i −0.319839 0.475015i
\(45\) −5.12192 + 4.33197i −0.763531 + 0.645771i
\(46\) 1.58307 8.95671i 0.233411 1.32059i
\(47\) −2.19448 + 6.75392i −0.320098 + 0.985161i 0.653507 + 0.756921i \(0.273297\pi\)
−0.973605 + 0.228240i \(0.926703\pi\)
\(48\) 6.30266 + 2.87689i 0.909710 + 0.415243i
\(49\) 6.90399 0.986284
\(50\) 6.34519 3.12068i 0.897345 0.441330i
\(51\) 7.83151 + 0.333888i 1.09663 + 0.0467536i
\(52\) −5.78231 + 7.38860i −0.801862 + 1.02462i
\(53\) 0.721525 + 0.234438i 0.0991091 + 0.0322025i 0.358152 0.933663i \(-0.383407\pi\)
−0.259043 + 0.965866i \(0.583407\pi\)
\(54\) 7.01423 + 2.19102i 0.954516 + 0.298160i
\(55\) 1.93507 + 3.78048i 0.260925 + 0.509759i
\(56\) −0.652012 + 0.585633i −0.0871287 + 0.0782585i
\(57\) 9.54870 + 0.407098i 1.26476 + 0.0539215i
\(58\) 8.68572 4.23193i 1.14049 0.555680i
\(59\) −11.0576 8.03382i −1.43958 1.04591i −0.988131 0.153617i \(-0.950908\pi\)
−0.451447 0.892298i \(-0.649092\pi\)
\(60\) −6.61285 4.03363i −0.853715 0.520740i
\(61\) −7.66779 + 5.57097i −0.981760 + 0.713290i −0.958101 0.286430i \(-0.907531\pi\)
−0.0236585 + 0.999720i \(0.507531\pi\)
\(62\) −4.00643 + 7.52761i −0.508818 + 0.956007i
\(63\) −0.608411 + 0.702802i −0.0766526 + 0.0885448i
\(64\) −0.855674 + 7.95411i −0.106959 + 0.994263i
\(65\) 7.40358 7.43104i 0.918301 0.921707i
\(66\) 2.35874 4.01001i 0.290341 0.493598i
\(67\) 6.37132 2.07017i 0.778380 0.252911i 0.107232 0.994234i \(-0.465801\pi\)
0.671149 + 0.741323i \(0.265801\pi\)
\(68\) 2.48778 + 8.70266i 0.301687 + 1.05535i
\(69\) 10.7315 2.98796i 1.29192 0.359708i
\(70\) 0.801834 0.563177i 0.0958375 0.0673125i
\(71\) −0.750346 + 2.30933i −0.0890497 + 0.274067i −0.985657 0.168759i \(-0.946024\pi\)
0.896608 + 0.442826i \(0.146024\pi\)
\(72\) 0.155113 + 8.48386i 0.0182803 + 0.999833i
\(73\) −7.60274 + 5.52372i −0.889834 + 0.646502i −0.935835 0.352439i \(-0.885352\pi\)
0.0460010 + 0.998941i \(0.485352\pi\)
\(74\) −5.61902 + 0.787367i −0.653198 + 0.0915296i
\(75\) 6.80300 + 5.35903i 0.785542 + 0.618808i
\(76\) 3.03326 + 10.6109i 0.347939 + 1.21715i
\(77\) 0.345915 + 0.476111i 0.0394207 + 0.0542579i
\(78\) −11.2200 2.48015i −1.27042 0.280821i
\(79\) −1.81171 0.588659i −0.203833 0.0662293i 0.205321 0.978695i \(-0.434176\pi\)
−0.409154 + 0.912465i \(0.634176\pi\)
\(80\) 2.01009 8.71548i 0.224735 0.974420i
\(81\) 1.28909 + 8.90720i 0.143233 + 0.989689i
\(82\) −0.301186 2.14940i −0.0332604 0.237362i
\(83\) 0.792743 + 2.43981i 0.0870149 + 0.267804i 0.985091 0.172037i \(-0.0550348\pi\)
−0.898076 + 0.439841i \(0.855035\pi\)
\(84\) −0.991753 0.410553i −0.108209 0.0447950i
\(85\) −1.60156 9.99208i −0.173713 1.08379i
\(86\) 3.69195 + 3.82625i 0.398114 + 0.412595i
\(87\) 9.26837 + 7.35689i 0.993673 + 0.788741i
\(88\) 5.25324 + 1.12332i 0.559998 + 0.119747i
\(89\) 5.28769 + 7.27788i 0.560494 + 0.771454i 0.991389 0.130948i \(-0.0418021\pi\)
−0.430895 + 0.902402i \(0.641802\pi\)
\(90\) 0.958673 9.43827i 0.101053 0.994881i
\(91\) 0.854388 1.17596i 0.0895642 0.123275i
\(92\) 7.18422 + 10.6698i 0.749007 + 1.11240i
\(93\) −10.4344 0.444859i −1.08200 0.0461297i
\(94\) −4.39890 9.02841i −0.453711 0.931209i
\(95\) −1.95272 12.1830i −0.200345 1.24995i
\(96\) −9.23927 + 3.26128i −0.942979 + 0.332853i
\(97\) 3.88035 11.9425i 0.393990 1.21258i −0.535755 0.844374i \(-0.679973\pi\)
0.929745 0.368204i \(-0.120027\pi\)
\(98\) −7.02619 + 6.77958i −0.709753 + 0.684841i
\(99\) 5.67719 + 0.484963i 0.570579 + 0.0487406i
\(100\) −3.39305 + 9.40676i −0.339305 + 0.940676i
\(101\) 8.75109i 0.870766i 0.900245 + 0.435383i \(0.143387\pi\)
−0.900245 + 0.435383i \(0.856613\pi\)
\(102\) −8.29800 + 7.35059i −0.821625 + 0.727817i
\(103\) −4.44126 1.44305i −0.437610 0.142188i 0.0819226 0.996639i \(-0.473894\pi\)
−0.519533 + 0.854451i \(0.673894\pi\)
\(104\) −1.37081 13.1975i −0.134419 1.29412i
\(105\) 1.04618 + 0.587934i 0.102097 + 0.0573765i
\(106\) −0.964509 + 0.469936i −0.0936814 + 0.0456442i
\(107\) 0.307528 0.0297299 0.0148649 0.999890i \(-0.495268\pi\)
0.0148649 + 0.999890i \(0.495268\pi\)
\(108\) −9.28992 + 4.65804i −0.893923 + 0.448220i
\(109\) 7.14020 + 5.18766i 0.683908 + 0.496888i 0.874652 0.484752i \(-0.161090\pi\)
−0.190744 + 0.981640i \(0.561090\pi\)
\(110\) −5.68168 1.94719i −0.541727 0.185657i
\(111\) −3.84140 5.79082i −0.364610 0.549640i
\(112\) 0.0884726 1.23626i 0.00835988 0.116816i
\(113\) 5.33456 7.34239i 0.501833 0.690714i −0.480682 0.876895i \(-0.659611\pi\)
0.982516 + 0.186181i \(0.0596109\pi\)
\(114\) −10.1175 + 8.96233i −0.947588 + 0.839399i
\(115\) −6.55269 12.8017i −0.611041 1.19377i
\(116\) −4.68379 + 12.8360i −0.434879 + 1.19180i
\(117\) −3.19393 13.7062i −0.295279 1.26713i
\(118\) 19.1424 2.68233i 1.76220 0.246929i
\(119\) −0.433332 1.33366i −0.0397235 0.122256i
\(120\) 10.6909 2.38866i 0.975937 0.218054i
\(121\) −2.28447 + 7.03087i −0.207679 + 0.639170i
\(122\) 2.33292 13.1992i 0.211213 1.19500i
\(123\) 2.21512 1.46942i 0.199731 0.132493i
\(124\) −3.31462 11.5951i −0.297661 1.04127i
\(125\) 5.02037 9.98979i 0.449035 0.893514i
\(126\) −0.0709579 1.31269i −0.00632143 0.116944i
\(127\) 8.06366 + 11.0987i 0.715534 + 0.984848i 0.999660 + 0.0260609i \(0.00829639\pi\)
−0.284127 + 0.958787i \(0.591704\pi\)
\(128\) −6.93996 8.93515i −0.613412 0.789763i
\(129\) −2.27429 + 6.10194i −0.200240 + 0.537246i
\(130\) −0.237486 + 14.8327i −0.0208289 + 1.30092i
\(131\) −0.458670 1.41164i −0.0400742 0.123336i 0.929018 0.370035i \(-0.120654\pi\)
−0.969092 + 0.246699i \(0.920654\pi\)
\(132\) 1.53726 + 6.39722i 0.133801 + 0.556807i
\(133\) −0.528348 1.62609i −0.0458136 0.141000i
\(134\) −4.45123 + 8.36332i −0.384528 + 0.722481i
\(135\) 10.9333 3.93240i 0.940986 0.338447i
\(136\) −11.0777 6.41375i −0.949901 0.549975i
\(137\) 10.6892 14.7124i 0.913236 1.25696i −0.0528136 0.998604i \(-0.516819\pi\)
0.966050 0.258357i \(-0.0831811\pi\)
\(138\) −7.98734 + 13.5790i −0.679927 + 1.15592i
\(139\) −6.52821 8.98531i −0.553715 0.762124i 0.436795 0.899561i \(-0.356113\pi\)
−0.990510 + 0.137437i \(0.956113\pi\)
\(140\) −0.262998 + 1.36053i −0.0222274 + 0.114986i
\(141\) 7.64715 9.63404i 0.644006 0.811332i
\(142\) −1.50409 3.08703i −0.126220 0.259058i
\(143\) −8.90981 −0.745075
\(144\) −8.48885 8.48171i −0.707404 0.706809i
\(145\) 6.91027 13.6245i 0.573866 1.13145i
\(146\) 2.31313 13.0872i 0.191436 1.08311i
\(147\) −11.2051 4.17632i −0.924179 0.344457i
\(148\) 4.94530 6.31907i 0.406501 0.519425i
\(149\) 10.3539i 0.848222i −0.905610 0.424111i \(-0.860587\pi\)
0.905610 0.424111i \(-0.139413\pi\)
\(150\) −12.1859 + 1.22652i −0.994973 + 0.100145i
\(151\) 19.3082i 1.57128i 0.618685 + 0.785639i \(0.287666\pi\)
−0.618685 + 0.785639i \(0.712334\pi\)
\(152\) −13.5066 7.82007i −1.09553 0.634292i
\(153\) −12.5084 5.27928i −1.01125 0.426805i
\(154\) −0.819570 0.144857i −0.0660428 0.0116729i
\(155\) 2.13385 + 13.3131i 0.171395 + 1.06933i
\(156\) 13.8541 8.49379i 1.10921 0.680048i
\(157\) 5.03933 0.402182 0.201091 0.979573i \(-0.435551\pi\)
0.201091 + 0.979573i \(0.435551\pi\)
\(158\) 2.42182 1.17998i 0.192670 0.0938743i
\(159\) −1.02921 0.816949i −0.0816216 0.0647883i
\(160\) 6.51276 + 10.8436i 0.514879 + 0.857263i
\(161\) −1.17136 1.61224i −0.0923164 0.127063i
\(162\) −10.0586 7.79900i −0.790279 0.612747i
\(163\) −6.18477 + 8.51261i −0.484429 + 0.666759i −0.979348 0.202180i \(-0.935197\pi\)
0.494920 + 0.868939i \(0.335197\pi\)
\(164\) 2.41719 + 1.89169i 0.188751 + 0.147716i
\(165\) −0.853732 7.30621i −0.0664629 0.568788i
\(166\) −3.20262 1.70454i −0.248572 0.132298i
\(167\) −1.55001 4.77044i −0.119943 0.369148i 0.873003 0.487716i \(-0.162170\pi\)
−0.992946 + 0.118568i \(0.962170\pi\)
\(168\) 1.41246 0.556062i 0.108974 0.0429011i
\(169\) 2.78321 + 8.56584i 0.214093 + 0.658911i
\(170\) 11.4419 + 8.59625i 0.877557 + 0.659302i
\(171\) −15.2511 6.43685i −1.16628 0.492238i
\(172\) −7.51460 0.268547i −0.572983 0.0204765i
\(173\) 7.28298 + 10.0242i 0.553715 + 0.762123i 0.990510 0.137438i \(-0.0438868\pi\)
−0.436796 + 0.899561i \(0.643887\pi\)
\(174\) −16.6567 + 1.61425i −1.26274 + 0.122376i
\(175\) 0.473295 1.47521i 0.0357778 0.111516i
\(176\) −6.44931 + 4.01538i −0.486135 + 0.302670i
\(177\) 13.0866 + 19.7277i 0.983646 + 1.48282i
\(178\) −12.5280 2.21429i −0.939015 0.165968i
\(179\) −6.67793 + 20.5526i −0.499132 + 1.53617i 0.311285 + 0.950317i \(0.399241\pi\)
−0.810417 + 0.585854i \(0.800759\pi\)
\(180\) 8.29256 + 10.5467i 0.618091 + 0.786107i
\(181\) 6.78493 + 20.8819i 0.504320 + 1.55214i 0.801911 + 0.597443i \(0.203817\pi\)
−0.297592 + 0.954693i \(0.596183\pi\)
\(182\) 0.285263 + 2.03577i 0.0211451 + 0.150902i
\(183\) 15.8147 4.40326i 1.16905 0.325498i
\(184\) −17.7889 3.80388i −1.31142 0.280426i
\(185\) −6.33188 + 6.35536i −0.465529 + 0.467256i
\(186\) 11.0559 9.79365i 0.810660 0.718105i
\(187\) −5.05230 + 6.95389i −0.369461 + 0.508519i
\(188\) 13.3425 + 4.86858i 0.973100 + 0.355078i
\(189\) 1.41258 0.772601i 0.102750 0.0561985i
\(190\) 13.9508 + 10.4811i 1.01210 + 0.760380i
\(191\) 4.26831 + 3.10111i 0.308844 + 0.224389i 0.731400 0.681948i \(-0.238867\pi\)
−0.422556 + 0.906337i \(0.638867\pi\)
\(192\) 6.20029 12.3918i 0.447468 0.894300i
\(193\) 2.61953 0.188558 0.0942788 0.995546i \(-0.469945\pi\)
0.0942788 + 0.995546i \(0.469945\pi\)
\(194\) 7.77827 + 15.9643i 0.558447 + 1.14617i
\(195\) −16.5110 + 7.58194i −1.18238 + 0.542954i
\(196\) 0.493136 13.7992i 0.0352240 0.985655i
\(197\) −21.8387 7.09582i −1.55594 0.505556i −0.600222 0.799834i \(-0.704921\pi\)
−0.955720 + 0.294277i \(0.904921\pi\)
\(198\) −6.25391 + 5.08135i −0.444446 + 0.361116i
\(199\) 6.62396i 0.469560i −0.972049 0.234780i \(-0.924563\pi\)
0.972049 0.234780i \(-0.0754370\pi\)
\(200\) −5.78415 12.9052i −0.409001 0.912534i
\(201\) −11.5928 0.494247i −0.817695 0.0348615i
\(202\) −8.59340 8.90599i −0.604630 0.626623i
\(203\) 0.654164 2.01331i 0.0459133 0.141307i
\(204\) 1.22674 15.6292i 0.0858887 1.09426i
\(205\) −2.43107 2.42209i −0.169793 0.169166i
\(206\) 5.93692 2.89264i 0.413645 0.201539i
\(207\) −19.2245 1.64222i −1.33620 0.114142i
\(208\) 14.3548 + 12.0850i 0.995324 + 0.837944i
\(209\) −6.16010 + 8.47865i −0.426103 + 0.586480i
\(210\) −1.64204 + 0.428988i −0.113311 + 0.0296030i
\(211\) −9.71127 13.3664i −0.668551 0.920182i 0.331175 0.943569i \(-0.392555\pi\)
−0.999726 + 0.0233873i \(0.992555\pi\)
\(212\) 0.520113 1.42538i 0.0357215 0.0978958i
\(213\) 2.61474 3.29411i 0.179159 0.225709i
\(214\) −0.312971 + 0.301987i −0.0213943 + 0.0206434i
\(215\) 8.30586 + 1.29976i 0.566455 + 0.0886431i
\(216\) 4.88026 13.8630i 0.332059 0.943258i
\(217\) 0.577355 + 1.77692i 0.0391934 + 0.120625i
\(218\) −12.3608 + 1.73206i −0.837177 + 0.117310i
\(219\) 15.6805 4.36590i 1.05959 0.295020i
\(220\) 7.69435 3.59765i 0.518753 0.242553i
\(221\) 20.1912 + 6.56052i 1.35821 + 0.441309i
\(222\) 9.59587 + 2.12114i 0.644033 + 0.142361i
\(223\) 12.0612 + 16.6009i 0.807679 + 1.11168i 0.991677 + 0.128749i \(0.0410960\pi\)
−0.183998 + 0.982927i \(0.558904\pi\)
\(224\) 1.12395 + 1.34502i 0.0750968 + 0.0898681i
\(225\) −7.79941 12.8129i −0.519960 0.854190i
\(226\) 1.78110 + 12.7108i 0.118477 + 0.845509i
\(227\) 9.87438 7.17416i 0.655386 0.476166i −0.209716 0.977762i \(-0.567254\pi\)
0.865102 + 0.501597i \(0.167254\pi\)
\(228\) 1.49572 19.0561i 0.0990563 1.26202i
\(229\) 0.971101 2.98874i 0.0641721 0.197502i −0.913830 0.406097i \(-0.866889\pi\)
0.978002 + 0.208596i \(0.0668893\pi\)
\(230\) 19.2397 + 6.59371i 1.26863 + 0.434777i
\(231\) −0.273409 0.981970i −0.0179890 0.0646089i
\(232\) −7.83806 17.6626i −0.514594 1.15961i
\(233\) 8.86597 2.88073i 0.580829 0.188723i −0.00384306 0.999993i \(-0.501223\pi\)
0.584672 + 0.811270i \(0.301223\pi\)
\(234\) 16.7096 + 10.8124i 1.09234 + 0.706828i
\(235\) −14.1620 7.18290i −0.923826 0.468561i
\(236\) −16.8472 + 21.5273i −1.09666 + 1.40131i
\(237\) 2.58428 + 2.05131i 0.167867 + 0.133247i
\(238\) 1.75063 + 0.931742i 0.113477 + 0.0603959i
\(239\) 18.5823 13.5009i 1.20199 0.873298i 0.207512 0.978232i \(-0.433463\pi\)
0.994479 + 0.104935i \(0.0334634\pi\)
\(240\) −8.53446 + 12.9292i −0.550897 + 0.834573i
\(241\) −6.49962 4.72225i −0.418677 0.304187i 0.358428 0.933557i \(-0.383313\pi\)
−0.777105 + 0.629371i \(0.783313\pi\)
\(242\) −4.57928 9.39863i −0.294367 0.604167i
\(243\) 3.29591 15.2360i 0.211433 0.977393i
\(244\) 10.5871 + 15.7237i 0.677773 + 1.00661i
\(245\) −2.38677 + 15.2522i −0.152485 + 0.974425i
\(246\) −0.811382 + 3.67064i −0.0517318 + 0.234031i
\(247\) 24.6185 + 7.99903i 1.56644 + 0.508966i
\(248\) 14.7594 + 8.54544i 0.937225 + 0.542636i
\(249\) 0.189265 4.43932i 0.0119942 0.281330i
\(250\) 4.70055 + 15.0965i 0.297289 + 0.954788i
\(251\) −26.8547 −1.69505 −0.847527 0.530752i \(-0.821909\pi\)
−0.847527 + 0.530752i \(0.821909\pi\)
\(252\) 1.36125 + 1.26625i 0.0857507 + 0.0797660i
\(253\) −3.77474 + 11.6175i −0.237316 + 0.730383i
\(254\) −19.1051 3.37676i −1.19876 0.211877i
\(255\) −3.44504 + 17.1858i −0.215737 + 1.07622i
\(256\) 15.8369 + 2.27840i 0.989809 + 0.142400i
\(257\) 3.87994i 0.242024i −0.992651 0.121012i \(-0.961386\pi\)
0.992651 0.121012i \(-0.0386140\pi\)
\(258\) −3.67744 8.44326i −0.228947 0.525654i
\(259\) −0.730712 + 1.00574i −0.0454042 + 0.0624936i
\(260\) −14.3238 15.3285i −0.888323 0.950633i
\(261\) −10.5921 17.5467i −0.655637 1.08611i
\(262\) 1.85299 + 0.986223i 0.114478 + 0.0609290i
\(263\) 11.2726 + 8.19005i 0.695101 + 0.505020i 0.878333 0.478049i \(-0.158656\pi\)
−0.183232 + 0.983070i \(0.558656\pi\)
\(264\) −7.84642 5.00090i −0.482914 0.307784i
\(265\) −0.767353 + 1.51293i −0.0471381 + 0.0929387i
\(266\) 2.13449 + 1.13604i 0.130874 + 0.0696552i
\(267\) −4.17935 15.0105i −0.255772 0.918627i
\(268\) −3.68260 12.8824i −0.224951 0.786916i
\(269\) −13.6533 + 4.43622i −0.832456 + 0.270481i −0.694079 0.719899i \(-0.744188\pi\)
−0.138376 + 0.990380i \(0.544188\pi\)
\(270\) −7.26525 + 14.7383i −0.442149 + 0.896942i
\(271\) −1.44312 0.468897i −0.0876630 0.0284834i 0.264857 0.964288i \(-0.414675\pi\)
−0.352520 + 0.935804i \(0.614675\pi\)
\(272\) 17.5719 4.35077i 1.06545 0.263804i
\(273\) −2.09802 + 1.39174i −0.126978 + 0.0842321i
\(274\) 3.56890 + 25.4693i 0.215605 + 1.53866i
\(275\) −9.02073 + 2.96798i −0.543971 + 0.178976i
\(276\) −5.20558 21.6627i −0.313339 1.30394i
\(277\) 10.4349 7.58142i 0.626974 0.455523i −0.228377 0.973573i \(-0.573342\pi\)
0.855350 + 0.518050i \(0.173342\pi\)
\(278\) 15.4672 + 2.73378i 0.927659 + 0.163961i
\(279\) 16.6658 + 7.03391i 0.997754 + 0.421109i
\(280\) −1.06836 1.64287i −0.0638469 0.0981803i
\(281\) −24.2794 + 7.88884i −1.44838 + 0.470609i −0.924501 0.381181i \(-0.875518\pi\)
−0.523884 + 0.851789i \(0.675518\pi\)
\(282\) 1.67794 + 17.3139i 0.0999196 + 1.03103i
\(283\) 2.52345 0.819917i 0.150003 0.0487390i −0.233053 0.972464i \(-0.574872\pi\)
0.383056 + 0.923725i \(0.374872\pi\)
\(284\) 4.56211 + 1.66468i 0.270712 + 0.0987808i
\(285\) −4.20043 + 20.9541i −0.248812 + 1.24121i
\(286\) 9.06751 8.74926i 0.536173 0.517354i
\(287\) −0.384718 0.279514i −0.0227092 0.0164992i
\(288\) 16.9680 + 0.295954i 0.999848 + 0.0174392i
\(289\) 2.81646 2.04628i 0.165674 0.120369i
\(290\) 6.34637 + 20.6514i 0.372672 + 1.21269i
\(291\) −13.5219 + 17.0352i −0.792670 + 0.998622i
\(292\) 10.4973 + 15.5903i 0.614310 + 0.912355i
\(293\) 25.7575i 1.50477i 0.658726 + 0.752383i \(0.271096\pi\)
−0.658726 + 0.752383i \(0.728904\pi\)
\(294\) 15.5045 6.75292i 0.904239 0.393839i
\(295\) 21.5709 21.6509i 1.25591 1.26056i
\(296\) 1.17238 + 11.2871i 0.0681430 + 0.656050i
\(297\) −8.92064 4.22130i −0.517628 0.244945i
\(298\) 10.1673 + 10.5371i 0.588976 + 0.610400i
\(299\) 30.1710 1.74484
\(300\) 11.1972 13.2145i 0.646468 0.762941i
\(301\) 1.16497 0.0671475
\(302\) −18.9603 19.6500i −1.09104 1.13073i
\(303\) 5.29365 14.2029i 0.304112 0.815935i
\(304\) 21.4248 5.30474i 1.22880 0.304248i
\(305\) −9.65647 18.8655i −0.552928 1.08023i
\(306\) 17.9140 6.91033i 1.02408 0.395037i
\(307\) 12.4595i 0.711099i 0.934657 + 0.355550i \(0.115706\pi\)
−0.934657 + 0.355550i \(0.884294\pi\)
\(308\) 0.976323 0.657381i 0.0556312 0.0374578i
\(309\) 6.33517 + 5.02863i 0.360395 + 0.286069i
\(310\) −15.2448 11.4533i −0.865846 0.650504i
\(311\) 6.46908 4.70006i 0.366828 0.266516i −0.389067 0.921210i \(-0.627202\pi\)
0.755894 + 0.654694i \(0.227202\pi\)
\(312\) −5.75855 + 22.2486i −0.326014 + 1.25958i
\(313\) −18.1139 13.1605i −1.02386 0.743875i −0.0567864 0.998386i \(-0.518085\pi\)
−0.967070 + 0.254511i \(0.918085\pi\)
\(314\) −5.12853 + 4.94852i −0.289419 + 0.279261i
\(315\) −1.34228 1.58706i −0.0756292 0.0894205i
\(316\) −1.30597 + 3.57905i −0.0734667 + 0.201337i
\(317\) −16.3147 + 5.30095i −0.916323 + 0.297731i −0.728957 0.684559i \(-0.759995\pi\)
−0.187365 + 0.982290i \(0.559995\pi\)
\(318\) 1.84965 0.179255i 0.103723 0.0100521i
\(319\) −12.3408 + 4.00976i −0.690950 + 0.224503i
\(320\) −17.2763 4.64015i −0.965772 0.259392i
\(321\) −0.499113 0.186028i −0.0278578 0.0103831i
\(322\) 2.77529 + 0.490524i 0.154661 + 0.0273358i
\(323\) 20.2029 14.6783i 1.12412 0.816722i
\(324\) 17.8951 1.94032i 0.994173 0.107796i
\(325\) 13.8570 + 18.9248i 0.768650 + 1.04976i
\(326\) −2.06497 14.7366i −0.114368 0.816185i
\(327\) −8.45036 12.7387i −0.467306 0.704452i
\(328\) −4.31757 + 0.448460i −0.238398 + 0.0247621i
\(329\) −2.09274 0.679973i −0.115377 0.0374881i
\(330\) 8.04340 + 6.59718i 0.442775 + 0.363163i
\(331\) 33.9964 11.0461i 1.86861 0.607149i 0.876566 0.481282i \(-0.159829\pi\)
0.992047 0.125867i \(-0.0401713\pi\)
\(332\) 4.93314 1.41020i 0.270741 0.0773950i
\(333\) 2.73159 + 11.7221i 0.149690 + 0.642369i
\(334\) 6.26192 + 3.33280i 0.342637 + 0.182363i
\(335\) 2.37075 + 14.7911i 0.129528 + 0.808123i
\(336\) −0.891421 + 1.95292i −0.0486310 + 0.106540i
\(337\) −3.49101 2.53637i −0.190167 0.138165i 0.488628 0.872492i \(-0.337498\pi\)
−0.678795 + 0.734328i \(0.737498\pi\)
\(338\) −11.2440 5.98440i −0.611591 0.325508i
\(339\) −13.0994 + 8.68964i −0.711463 + 0.471957i
\(340\) −20.0858 + 2.48736i −1.08931 + 0.134896i
\(341\) 6.73149 9.26510i 0.364531 0.501733i
\(342\) 21.8419 8.42553i 1.18108 0.455601i
\(343\) 4.30823i 0.232623i
\(344\) 7.91132 7.10590i 0.426550 0.383124i
\(345\) 2.89097 + 24.7408i 0.155645 + 1.33200i
\(346\) −17.2554 3.04985i −0.927657 0.163961i
\(347\) 4.70767 14.4887i 0.252721 0.777795i −0.741549 0.670898i \(-0.765909\pi\)
0.994270 0.106896i \(-0.0340913\pi\)
\(348\) 15.3664 17.9994i 0.823726 0.964870i
\(349\) 6.71463 0.359426 0.179713 0.983719i \(-0.442483\pi\)
0.179713 + 0.983719i \(0.442483\pi\)
\(350\) 0.966959 + 1.96609i 0.0516862 + 0.105092i
\(351\) −3.10734 + 24.1769i −0.165858 + 1.29047i
\(352\) 2.62044 10.4195i 0.139670 0.555364i
\(353\) −12.7469 4.14173i −0.678451 0.220442i −0.0505337 0.998722i \(-0.516092\pi\)
−0.627917 + 0.778280i \(0.716092\pi\)
\(354\) −32.6904 7.22610i −1.73747 0.384063i
\(355\) −4.84232 2.45601i −0.257004 0.130351i
\(356\) 14.9242 10.0488i 0.790979 0.532585i
\(357\) −0.103457 + 2.42664i −0.00547553 + 0.128431i
\(358\) −13.3861 27.4739i −0.707477 1.45204i
\(359\) −19.8499 14.4218i −1.04764 0.761153i −0.0758753 0.997117i \(-0.524175\pi\)
−0.971762 + 0.235965i \(0.924175\pi\)
\(360\) −18.7960 2.59028i −0.990637 0.136520i
\(361\) 9.26145 6.72883i 0.487445 0.354149i
\(362\) −27.4106 14.5888i −1.44067 0.766770i
\(363\) 7.96073 10.0291i 0.417830 0.526391i
\(364\) −2.28940 1.79168i −0.119997 0.0939097i
\(365\) −9.57455 18.7054i −0.501155 0.979087i
\(366\) −11.7707 + 20.0109i −0.615263 + 1.04599i
\(367\) −29.8410 + 9.69594i −1.55769 + 0.506124i −0.956190 0.292748i \(-0.905430\pi\)
−0.601500 + 0.798872i \(0.705430\pi\)
\(368\) 21.8391 13.5972i 1.13844 0.708801i
\(369\) −4.48398 + 1.04490i −0.233427 + 0.0543951i
\(370\) 0.203109 12.6856i 0.0105591 0.659495i
\(371\) −0.0726419 + 0.223569i −0.00377138 + 0.0116071i
\(372\) −1.63446 + 20.8237i −0.0847426 + 1.07966i
\(373\) 2.56104 1.86070i 0.132606 0.0963436i −0.519505 0.854467i \(-0.673884\pi\)
0.652111 + 0.758124i \(0.273884\pi\)
\(374\) −1.68686 12.0382i −0.0872256 0.622483i
\(375\) −14.1909 + 13.1764i −0.732817 + 0.680426i
\(376\) −18.3595 + 8.14730i −0.946819 + 0.420165i
\(377\) 18.8382 + 25.9286i 0.970218 + 1.33539i
\(378\) −0.678901 + 2.17340i −0.0349189 + 0.111788i
\(379\) −16.6493 5.40969i −0.855217 0.277877i −0.151588 0.988444i \(-0.548439\pi\)
−0.703630 + 0.710567i \(0.748439\pi\)
\(380\) −24.4900 + 3.03275i −1.25631 + 0.155577i
\(381\) −6.37346 22.8908i −0.326522 1.17273i
\(382\) −7.38910 + 1.03540i −0.378059 + 0.0529757i
\(383\) −6.59223 20.2888i −0.336847 1.03671i −0.965805 0.259270i \(-0.916518\pi\)
0.628958 0.777439i \(-0.283482\pi\)
\(384\) 5.85846 + 18.6997i 0.298963 + 0.954265i
\(385\) −1.17140 + 0.599593i −0.0597002 + 0.0305581i
\(386\) −2.66589 + 2.57232i −0.135690 + 0.130928i
\(387\) 7.38229 8.52760i 0.375263 0.433482i
\(388\) −23.5926 8.60878i −1.19773 0.437045i
\(389\) −4.43623 6.10594i −0.224926 0.309583i 0.681608 0.731718i \(-0.261281\pi\)
−0.906533 + 0.422134i \(0.861281\pi\)
\(390\) 9.35796 23.9297i 0.473859 1.21173i
\(391\) 17.1085 23.5478i 0.865213 1.19086i
\(392\) 13.0487 + 14.5277i 0.659057 + 0.733758i
\(393\) −0.109506 + 2.56853i −0.00552387 + 0.129565i
\(394\) 29.1932 14.2238i 1.47073 0.716582i
\(395\) 1.92678 3.79888i 0.0969467 0.191142i
\(396\) 1.37482 11.3125i 0.0690871 0.568475i
\(397\) −8.37440 + 25.7738i −0.420299 + 1.29355i 0.487125 + 0.873332i \(0.338046\pi\)
−0.907424 + 0.420216i \(0.861954\pi\)
\(398\) 6.50460 + 6.74121i 0.326046 + 0.337906i
\(399\) −0.126142 + 2.95872i −0.00631498 + 0.148121i
\(400\) 18.5592 + 7.45368i 0.927958 + 0.372684i
\(401\) 15.4298i 0.770526i 0.922807 + 0.385263i \(0.125889\pi\)
−0.922807 + 0.385263i \(0.874111\pi\)
\(402\) 12.2834 10.8809i 0.612638 0.542692i
\(403\) −26.9020 8.74099i −1.34008 0.435420i
\(404\) 17.4910 + 0.625070i 0.870211 + 0.0310984i
\(405\) −20.1233 0.231460i −0.999934 0.0115013i
\(406\) 1.31129 + 2.69132i 0.0650781 + 0.133568i
\(407\) 7.62007 0.377713
\(408\) 14.0991 + 17.1105i 0.698010 + 0.847094i
\(409\) −23.6000 17.1464i −1.16694 0.847834i −0.176303 0.984336i \(-0.556414\pi\)
−0.990640 + 0.136502i \(0.956414\pi\)
\(410\) 4.85254 + 0.0776938i 0.239650 + 0.00383703i
\(411\) −26.2480 + 17.4119i −1.29472 + 0.858867i
\(412\) −3.20149 + 8.77378i −0.157726 + 0.432253i
\(413\) 2.48933 3.42626i 0.122492 0.168595i
\(414\) 21.1774 17.2068i 1.04081 0.845670i
\(415\) −5.66405 + 0.907848i −0.278037 + 0.0445645i
\(416\) −26.4761 + 1.79720i −1.29810 + 0.0881148i
\(417\) 5.15985 + 18.5320i 0.252679 + 0.907517i
\(418\) −2.05674 14.6778i −0.100598 0.717916i
\(419\) 8.89913 + 27.3887i 0.434751 + 1.33803i 0.893342 + 0.449378i \(0.148354\pi\)
−0.458591 + 0.888648i \(0.651646\pi\)
\(420\) 1.24984 2.04903i 0.0609862 0.0999824i
\(421\) 7.02569 21.6229i 0.342411 1.05383i −0.620544 0.784172i \(-0.713088\pi\)
0.962955 0.269662i \(-0.0869119\pi\)
\(422\) 23.0087 + 4.06673i 1.12005 + 0.197965i
\(423\) −18.2390 + 11.0100i −0.886809 + 0.535326i
\(424\) 0.870380 + 1.96135i 0.0422694 + 0.0952518i
\(425\) 22.6280 0.0837748i 1.09762 0.00406367i
\(426\) 0.573726 + 5.92004i 0.0277971 + 0.286827i
\(427\) −1.72620 2.37591i −0.0835366 0.114978i
\(428\) 0.0219660 0.614664i 0.00106177 0.0297109i
\(429\) 14.4605 + 5.38966i 0.698159 + 0.260215i
\(430\) −9.72922 + 6.83343i −0.469185 + 0.329537i
\(431\) 4.98781 + 15.3509i 0.240255 + 0.739428i 0.996381 + 0.0850017i \(0.0270896\pi\)
−0.756126 + 0.654426i \(0.772910\pi\)
\(432\) 8.64657 + 18.9007i 0.416008 + 0.909361i
\(433\) −3.93756 12.1186i −0.189227 0.582380i 0.810769 0.585367i \(-0.199049\pi\)
−0.999996 + 0.00298628i \(0.999049\pi\)
\(434\) −2.33247 1.24142i −0.111962 0.0595899i
\(435\) −19.4569 + 17.9322i −0.932886 + 0.859781i
\(436\) 10.8787 13.9008i 0.520996 0.665725i
\(437\) 20.8598 28.7110i 0.997859 1.37343i
\(438\) −11.6708 + 19.8411i −0.557653 + 0.948046i
\(439\) 0.00992669 + 0.0136629i 0.000473775 + 0.000652095i 0.809254 0.587459i \(-0.199872\pi\)
−0.808780 + 0.588111i \(0.799872\pi\)
\(440\) −4.29772 + 11.2170i −0.204886 + 0.534751i
\(441\) 15.6593 + 13.5562i 0.745683 + 0.645533i
\(442\) −26.9909 + 13.1507i −1.28383 + 0.625517i
\(443\) 13.3387 0.633739 0.316870 0.948469i \(-0.397368\pi\)
0.316870 + 0.948469i \(0.397368\pi\)
\(444\) −11.8486 + 7.26428i −0.562311 + 0.344747i
\(445\) −17.9062 + 9.16544i −0.848834 + 0.434484i
\(446\) −28.5764 5.05080i −1.35313 0.239162i
\(447\) −6.26319 + 16.8042i −0.296239 + 0.794810i
\(448\) −2.46463 0.265136i −0.116443 0.0125265i
\(449\) 34.1036i 1.60945i 0.593649 + 0.804724i \(0.297687\pi\)
−0.593649 + 0.804724i \(0.702313\pi\)
\(450\) 20.5194 + 5.38078i 0.967295 + 0.253652i
\(451\) 2.91485i 0.137255i
\(452\) −14.2944 11.1868i −0.672351 0.526181i
\(453\) 11.6798 31.3369i 0.548764 1.47234i
\(454\) −3.00428 + 16.9976i −0.140998 + 0.797737i
\(455\) 2.30255 + 2.29404i 0.107945 + 0.107546i
\(456\) 17.1906 + 20.8622i 0.805022 + 0.976962i
\(457\) −31.6417 −1.48014 −0.740069 0.672531i \(-0.765207\pi\)
−0.740069 + 0.672531i \(0.765207\pi\)
\(458\) 1.94660 + 3.99524i 0.0909585 + 0.186686i
\(459\) 17.1075 + 16.1347i 0.798510 + 0.753104i
\(460\) −26.0552 + 12.1826i −1.21483 + 0.568017i
\(461\) −7.09986 9.77212i −0.330673 0.455133i 0.611015 0.791619i \(-0.290762\pi\)
−0.941688 + 0.336486i \(0.890762\pi\)
\(462\) 1.24252 + 0.730869i 0.0578075 + 0.0340031i
\(463\) −20.5543 + 28.2905i −0.955238 + 1.31477i −0.00607669 + 0.999982i \(0.501934\pi\)
−0.949161 + 0.314791i \(0.898066\pi\)
\(464\) 25.3212 + 10.2784i 1.17551 + 0.477165i
\(465\) 4.59004 22.8977i 0.212858 1.06186i
\(466\) −6.19408 + 11.6379i −0.286935 + 0.539116i
\(467\) −3.83021 11.7882i −0.177241 0.545492i 0.822488 0.568783i \(-0.192586\pi\)
−0.999729 + 0.0232909i \(0.992586\pi\)
\(468\) −27.6230 + 5.40478i −1.27687 + 0.249836i
\(469\) 0.641453 + 1.97419i 0.0296196 + 0.0911596i
\(470\) 21.4661 6.59676i 0.990159 0.304286i
\(471\) −8.17875 3.04836i −0.376857 0.140461i
\(472\) −3.99395 38.4519i −0.183836 1.76989i
\(473\) −4.19723 5.77700i −0.192989 0.265627i
\(474\) −4.64437 + 0.450098i −0.213323 + 0.0206737i
\(475\) 27.5896 0.102144i 1.26590 0.00468668i
\(476\) −2.69657 + 0.770852i −0.123597 + 0.0353319i
\(477\) 1.17621 + 1.94848i 0.0538549 + 0.0892147i
\(478\) −5.65366 + 31.9873i −0.258593 + 1.46307i
\(479\) −0.322045 + 0.991153i −0.0147146 + 0.0452869i −0.958144 0.286286i \(-0.907579\pi\)
0.943430 + 0.331573i \(0.107579\pi\)
\(480\) −4.01066 21.5387i −0.183061 0.983102i
\(481\) −5.81604 17.8999i −0.265189 0.816166i
\(482\) 11.2518 1.57667i 0.512506 0.0718151i
\(483\) 0.925837 + 3.32522i 0.0421271 + 0.151303i
\(484\) 13.8896 + 5.06822i 0.631346 + 0.230374i
\(485\) 25.0417 + 12.7010i 1.13708 + 0.576725i
\(486\) 11.6073 + 18.7422i 0.526516 + 0.850165i
\(487\) 15.6093 21.4843i 0.707323 0.973547i −0.292527 0.956257i \(-0.594496\pi\)
0.999851 0.0172900i \(-0.00550384\pi\)
\(488\) −26.2149 5.60565i −1.18669 0.253756i
\(489\) 15.1872 10.0746i 0.686788 0.455588i
\(490\) −12.5483 17.8659i −0.566875 0.807099i
\(491\) −25.8833 18.8053i −1.16810 0.848671i −0.177316 0.984154i \(-0.556741\pi\)
−0.990780 + 0.135483i \(0.956741\pi\)
\(492\) −2.77875 4.53237i −0.125276 0.204335i
\(493\) 30.9189 1.39252
\(494\) −32.9091 + 16.0343i −1.48065 + 0.721415i
\(495\) −3.03403 + 12.3743i −0.136370 + 0.556183i
\(496\) −23.4121 + 5.79679i −1.05124 + 0.260284i
\(497\) −0.715558 0.232499i −0.0320972 0.0104290i
\(498\) 4.16671 + 4.70375i 0.186715 + 0.210780i
\(499\) 22.0312i 0.986252i 0.869958 + 0.493126i \(0.164146\pi\)
−0.869958 + 0.493126i \(0.835854\pi\)
\(500\) −19.6082 10.7479i −0.876907 0.480660i
\(501\) −0.370061 + 8.67997i −0.0165331 + 0.387792i
\(502\) 27.3300 26.3708i 1.21980 1.17699i
\(503\) −5.57845 + 17.1687i −0.248731 + 0.765514i 0.746270 + 0.665644i \(0.231843\pi\)
−0.995000 + 0.0998705i \(0.968157\pi\)
\(504\) −2.62877 + 0.0480628i −0.117095 + 0.00214089i
\(505\) −19.3328 3.02533i −0.860296 0.134626i
\(506\) −7.56656 15.5298i −0.336375 0.690384i
\(507\) 0.664484 15.5858i 0.0295108 0.692191i
\(508\) 22.7591 15.3243i 1.00977 0.679905i
\(509\) 17.7421 24.4200i 0.786406 1.08240i −0.208140 0.978099i \(-0.566741\pi\)
0.994546 0.104296i \(-0.0332590\pi\)
\(510\) −13.3701 20.8730i −0.592038 0.924270i
\(511\) −1.71156 2.35575i −0.0757147 0.104212i
\(512\) −18.3546 + 13.2328i −0.811167 + 0.584815i
\(513\) 20.8586 + 19.6725i 0.920930 + 0.868563i
\(514\) 3.81003 + 3.94862i 0.168053 + 0.174166i
\(515\) 4.72335 9.31267i 0.208136 0.410365i
\(516\) 12.0336 + 4.98153i 0.529752 + 0.219300i
\(517\) 4.16796 + 12.8277i 0.183307 + 0.564160i
\(518\) −0.243970 1.74109i −0.0107194 0.0764989i
\(519\) −5.75641 20.6746i −0.252679 0.907516i
\(520\) 29.6296 + 1.53414i 1.29934 + 0.0672764i
\(521\) 2.15432 + 0.699982i 0.0943826 + 0.0306668i 0.355828 0.934552i \(-0.384199\pi\)
−0.261445 + 0.965218i \(0.584199\pi\)
\(522\) 28.0101 + 7.45599i 1.22597 + 0.326340i
\(523\) −2.94584 4.05459i −0.128812 0.177295i 0.739739 0.672893i \(-0.234949\pi\)
−0.868552 + 0.495598i \(0.834949\pi\)
\(524\) −2.85424 + 0.815925i −0.124688 + 0.0356438i
\(525\) −1.66053 + 2.10795i −0.0724714 + 0.0919984i
\(526\) −19.5146 + 2.73450i −0.850879 + 0.119230i
\(527\) −22.0769 + 16.0398i −0.961685 + 0.698705i
\(528\) 12.8961 2.61562i 0.561230 0.113830i
\(529\) 5.67491 17.4656i 0.246735 0.759373i
\(530\) −0.704735 2.29324i −0.0306117 0.0996119i
\(531\) −9.30576 39.9339i −0.403835 1.73299i
\(532\) −3.28784 + 0.939874i −0.142546 + 0.0407487i
\(533\) 6.84712 2.22477i 0.296582 0.0963653i
\(534\) 18.9933 + 11.1721i 0.821922 + 0.483466i
\(535\) −0.106315 + 0.679386i −0.00459641 + 0.0293724i
\(536\) 16.3980 + 9.49415i 0.708287 + 0.410085i
\(537\) 23.2707 29.3169i 1.00421 1.26512i
\(538\) 9.53867 17.9220i 0.411241 0.772673i
\(539\) 10.6084 7.70744i 0.456935 0.331983i
\(540\) −7.07884 22.1335i −0.304625 0.952472i
\(541\) 2.54633 + 1.85001i 0.109475 + 0.0795383i 0.641176 0.767394i \(-0.278447\pi\)
−0.531701 + 0.846932i \(0.678447\pi\)
\(542\) 1.92911 0.939915i 0.0828622 0.0403728i
\(543\) 1.61988 37.9952i 0.0695159 1.63053i
\(544\) −13.6106 + 21.6831i −0.583549 + 0.929654i
\(545\) −13.9289 + 13.9806i −0.596650 + 0.598863i
\(546\) 0.768488 3.47659i 0.0328883 0.148784i
\(547\) −19.1348 6.21729i −0.818147 0.265832i −0.130103 0.991501i \(-0.541531\pi\)
−0.688045 + 0.725668i \(0.741531\pi\)
\(548\) −28.6424 22.4155i −1.22354 0.957544i
\(549\) −28.3305 2.42008i −1.20912 0.103287i
\(550\) 6.26590 11.8787i 0.267179 0.506510i
\(551\) 37.6983 1.60600
\(552\) 26.5701 + 16.9344i 1.13090 + 0.720776i
\(553\) 0.182399 0.561367i 0.00775641 0.0238718i
\(554\) −3.17482 + 17.9625i −0.134885 + 0.763154i
\(555\) 14.1210 6.48442i 0.599402 0.275248i
\(556\) −18.4254 + 12.4063i −0.781413 + 0.526144i
\(557\) 2.68419i 0.113733i 0.998382 + 0.0568664i \(0.0181109\pi\)
−0.998382 + 0.0568664i \(0.981889\pi\)
\(558\) −23.8679 + 9.20706i −1.01041 + 0.389766i
\(559\) −10.3669 + 14.2688i −0.438473 + 0.603507i
\(560\) 2.70054 + 0.622839i 0.114119 + 0.0263198i
\(561\) 12.4063 8.22986i 0.523795 0.347465i
\(562\) 16.9624 31.8703i 0.715516 1.34437i
\(563\) 5.37175 + 3.90280i 0.226392 + 0.164483i 0.695199 0.718817i \(-0.255316\pi\)
−0.468807 + 0.883301i \(0.655316\pi\)
\(564\) −18.7096 15.9727i −0.787815 0.672571i
\(565\) 14.3765 + 14.3233i 0.604823 + 0.602588i
\(566\) −1.76297 + 3.31241i −0.0741031 + 0.139231i
\(567\) −2.75995 + 0.399433i −0.115907 + 0.0167746i
\(568\) −6.27755 + 2.78576i −0.263400 + 0.116888i
\(569\) 16.1239 5.23898i 0.675950 0.219629i 0.0491284 0.998792i \(-0.484356\pi\)
0.626821 + 0.779163i \(0.284356\pi\)
\(570\) −16.3017 25.4497i −0.682804 1.06597i
\(571\) 10.2552 + 3.33210i 0.429165 + 0.139444i 0.515631 0.856811i \(-0.327557\pi\)
−0.0864661 + 0.996255i \(0.527557\pi\)
\(572\) −0.636407 + 17.8082i −0.0266095 + 0.744600i
\(573\) −5.05150 7.61502i −0.211030 0.318122i
\(574\) 0.666004 0.0933241i 0.0277985 0.00389527i
\(575\) 30.5467 10.0504i 1.27388 0.419131i
\(576\) −17.5589 + 16.3610i −0.731623 + 0.681710i
\(577\) −0.900509 + 0.654258i −0.0374887 + 0.0272371i −0.606372 0.795181i \(-0.707376\pi\)
0.568883 + 0.822418i \(0.307376\pi\)
\(578\) −0.856908 + 4.84821i −0.0356427 + 0.201659i
\(579\) −4.25145 1.58459i −0.176684 0.0658532i
\(580\) −26.7379 14.7849i −1.11023 0.613909i
\(581\) −0.755990 + 0.245636i −0.0313638 + 0.0101907i
\(582\) −2.96698 30.6150i −0.122985 1.26903i
\(583\) 1.37038 0.445265i 0.0567555 0.0184410i
\(584\) −25.9925 5.55810i −1.07558 0.229996i
\(585\) 31.3836 2.31763i 1.29755 0.0958220i
\(586\) −25.2933 26.2134i −1.04486 1.08286i
\(587\) 6.04530 + 4.39217i 0.249516 + 0.181284i 0.705512 0.708698i \(-0.250717\pi\)
−0.455996 + 0.889982i \(0.650717\pi\)
\(588\) −9.14766 + 22.0975i −0.377243 + 0.911287i
\(589\) −26.9176 + 19.5568i −1.10912 + 0.805824i
\(590\) −0.691935 + 43.2163i −0.0284865 + 1.77919i
\(591\) 31.1515 + 24.7269i 1.28140 + 1.01713i
\(592\) −12.2769 10.3356i −0.504575 0.424792i
\(593\) 41.8958i 1.72045i −0.509912 0.860226i \(-0.670322\pi\)
0.509912 0.860226i \(-0.329678\pi\)
\(594\) 13.2238 4.46388i 0.542578 0.183155i
\(595\) 3.09611 0.496252i 0.126928 0.0203443i
\(596\) −20.6945 0.739552i −0.847681 0.0302932i
\(597\) −4.00692 + 10.7506i −0.163992 + 0.439992i
\(598\) −30.7051 + 29.6274i −1.25562 + 1.21155i
\(599\) −30.2844 −1.23739 −0.618693 0.785633i \(-0.712338\pi\)
−0.618693 + 0.785633i \(0.712338\pi\)
\(600\) 1.58107 + 24.4438i 0.0645467 + 0.997915i
\(601\) −5.91631 −0.241331 −0.120666 0.992693i \(-0.538503\pi\)
−0.120666 + 0.992693i \(0.538503\pi\)
\(602\) −1.18559 + 1.14397i −0.0483208 + 0.0466249i
\(603\) 18.5160 + 7.81481i 0.754030 + 0.318244i
\(604\) 38.5917 + 1.37914i 1.57028 + 0.0561164i
\(605\) −14.7427 7.47745i −0.599377 0.304001i
\(606\) 8.55961 + 19.6525i 0.347710 + 0.798330i
\(607\) 6.47572i 0.262842i −0.991327 0.131421i \(-0.958046\pi\)
0.991327 0.131421i \(-0.0419539\pi\)
\(608\) −16.5949 + 26.4374i −0.673013 + 1.07218i
\(609\) −2.27958 + 2.87186i −0.0923731 + 0.116374i
\(610\) 28.3529 + 9.71693i 1.14798 + 0.393427i
\(611\) 26.9516 19.5815i 1.09034 0.792182i
\(612\) −11.4453 + 24.6238i −0.462648 + 0.995360i
\(613\) 14.2311 + 10.3395i 0.574787 + 0.417607i 0.836841 0.547446i \(-0.184400\pi\)
−0.262054 + 0.965053i \(0.584400\pi\)
\(614\) −12.2350 12.6800i −0.493763 0.511723i
\(615\) 2.48044 + 5.40159i 0.100021 + 0.217813i
\(616\) −0.348068 + 1.62775i −0.0140241 + 0.0655838i
\(617\) −20.9543 + 6.80846i −0.843587 + 0.274098i −0.698758 0.715358i \(-0.746263\pi\)
−0.144830 + 0.989457i \(0.546263\pi\)
\(618\) −11.3853 + 1.10338i −0.457985 + 0.0443845i
\(619\) 19.7409 6.41419i 0.793452 0.257808i 0.115879 0.993263i \(-0.463032\pi\)
0.677573 + 0.735455i \(0.263032\pi\)
\(620\) 26.7616 3.31406i 1.07477 0.133096i
\(621\) 30.2077 + 14.2945i 1.21219 + 0.573618i
\(622\) −1.96821 + 11.1358i −0.0789182 + 0.446503i
\(623\) −2.25509 + 1.63842i −0.0903484 + 0.0656420i
\(624\) −15.9872 28.2972i −0.640000 1.13279i
\(625\) 20.3337 + 14.5445i 0.813347 + 0.581779i
\(626\) 31.3578 4.39403i 1.25331 0.175621i
\(627\) 15.1266 10.0344i 0.604098 0.400735i
\(628\) 0.359947 10.0722i 0.0143635 0.401926i
\(629\) −17.2685 5.61086i −0.688538 0.223720i
\(630\) 2.92450 + 0.297050i 0.116515 + 0.0118348i
\(631\) 30.4448 9.89211i 1.21199 0.393799i 0.367830 0.929893i \(-0.380101\pi\)
0.844158 + 0.536094i \(0.180101\pi\)
\(632\) −2.18547 4.92484i −0.0869334 0.195900i
\(633\) 7.67572 + 27.5680i 0.305082 + 1.09573i
\(634\) 11.3980 21.4155i 0.452672 0.850517i
\(635\) −27.3067 + 13.9772i −1.08363 + 0.554667i
\(636\) −1.70637 + 1.99875i −0.0676619 + 0.0792557i
\(637\) −26.2020 19.0369i −1.03816 0.754269i
\(638\) 8.62169 16.1991i 0.341336 0.641329i
\(639\) −6.23634 + 3.76459i −0.246706 + 0.148925i
\(640\) 22.1386 12.2427i 0.875104 0.483934i
\(641\) 27.9458 38.4641i 1.10379 1.51924i 0.273535 0.961862i \(-0.411807\pi\)
0.830258 0.557379i \(-0.188193\pi\)
\(642\) 0.690624 0.300799i 0.0272567 0.0118716i
\(643\) 39.1531i 1.54405i 0.635594 + 0.772024i \(0.280755\pi\)
−0.635594 + 0.772024i \(0.719245\pi\)
\(644\) −3.30610 + 2.22607i −0.130279 + 0.0877196i
\(645\) −12.6940 7.13382i −0.499828 0.280894i
\(646\) −6.14674 + 34.7770i −0.241840 + 1.36828i
\(647\) 2.07945 6.39988i 0.0817515 0.251605i −0.901824 0.432104i \(-0.857771\pi\)
0.983575 + 0.180499i \(0.0577713\pi\)
\(648\) −16.3065 + 19.5473i −0.640580 + 0.767891i
\(649\) −25.9594 −1.01900
\(650\) −32.6861 5.65247i −1.28206 0.221708i
\(651\) 0.137842 3.23316i 0.00540246 0.126718i
\(652\) 16.5726 + 12.9697i 0.649033 + 0.507932i
\(653\) 26.7002 + 8.67542i 1.04486 + 0.339495i 0.780649 0.624970i \(-0.214889\pi\)
0.264210 + 0.964465i \(0.414889\pi\)
\(654\) 21.1091 + 4.66609i 0.825431 + 0.182459i
\(655\) 3.27714 0.525268i 0.128048 0.0205239i
\(656\) 3.95362 4.69617i 0.154363 0.183355i
\(657\) −28.0902 2.39955i −1.09590 0.0936154i
\(658\) 2.79750 1.36302i 0.109058 0.0531362i
\(659\) 10.1120 + 7.34678i 0.393906 + 0.286190i 0.767054 0.641582i \(-0.221722\pi\)
−0.373148 + 0.927772i \(0.621722\pi\)
\(660\) −14.6641 + 1.18451i −0.570798 + 0.0461069i
\(661\) 18.2915 13.2896i 0.711457 0.516904i −0.172186 0.985064i \(-0.555083\pi\)
0.883644 + 0.468160i \(0.155083\pi\)
\(662\) −23.7511 + 44.6255i −0.923113 + 1.73442i
\(663\) −28.8015 22.8616i −1.11856 0.887870i
\(664\) −3.63566 + 6.27941i −0.141091 + 0.243688i
\(665\) 3.77498 0.605063i 0.146387 0.0234633i
\(666\) −14.2908 9.24724i −0.553759 0.358323i
\(667\) 41.7892 13.5781i 1.61808 0.525747i
\(668\) −9.64550 + 2.75730i −0.373196 + 0.106683i
\(669\) −9.53310 34.2389i −0.368571 1.32375i
\(670\) −16.9373 12.7249i −0.654344 0.491604i
\(671\) −5.56271 + 17.1202i −0.214746 + 0.660920i
\(672\) −1.01053 2.86284i −0.0389819 0.110436i
\(673\) 12.8972 9.37034i 0.497149 0.361200i −0.310778 0.950483i \(-0.600590\pi\)
0.807927 + 0.589283i \(0.200590\pi\)
\(674\) 6.04346 0.846843i 0.232786 0.0326192i
\(675\) 4.90765 + 25.5130i 0.188895 + 0.981997i
\(676\) 17.3195 4.95103i 0.666136 0.190424i
\(677\) 23.1821 + 31.9074i 0.890960 + 1.22630i 0.973263 + 0.229694i \(0.0737724\pi\)
−0.0823033 + 0.996607i \(0.526228\pi\)
\(678\) 4.79822 21.7068i 0.184275 0.833646i
\(679\) 3.70045 + 1.20235i 0.142010 + 0.0461420i
\(680\) 17.9988 22.2553i 0.690222 0.853451i
\(681\) −20.3657 + 5.67040i −0.780416 + 0.217290i
\(682\) 2.24751 + 16.0393i 0.0860617 + 0.614176i
\(683\) 7.28659 + 22.4258i 0.278814 + 0.858100i 0.988185 + 0.153265i \(0.0489789\pi\)
−0.709371 + 0.704835i \(0.751021\pi\)
\(684\) −13.9548 + 30.0230i −0.533577 + 1.14796i
\(685\) 28.8069 + 28.7005i 1.10066 + 1.09659i
\(686\) −4.23060 4.38449i −0.161525 0.167401i
\(687\) −3.38401 + 4.26325i −0.129108 + 0.162653i
\(688\) −1.07350 + 15.0004i −0.0409269 + 0.571886i
\(689\) −2.09190 2.87925i −0.0796950 0.109691i
\(690\) −27.2372 22.3399i −1.03690 0.850464i
\(691\) −10.9643 + 15.0910i −0.417100 + 0.574089i −0.964932 0.262500i \(-0.915453\pi\)
0.547832 + 0.836588i \(0.315453\pi\)
\(692\) 20.5557 13.8407i 0.781412 0.526143i
\(693\) −0.150269 + 1.75911i −0.00570823 + 0.0668231i
\(694\) 9.43664 + 19.3680i 0.358210 + 0.735200i
\(695\) 22.1070 11.3157i 0.838568 0.429229i
\(696\) 2.03668 + 33.4075i 0.0772002 + 1.26631i
\(697\) 2.14628 6.60557i 0.0812962 0.250204i
\(698\) −6.83348 + 6.59364i −0.258651 + 0.249573i
\(699\) −16.1319 0.687766i −0.610165 0.0260137i
\(700\) −2.91474 1.05136i −0.110167 0.0397376i
\(701\) 22.0139i 0.831452i 0.909490 + 0.415726i \(0.136472\pi\)
−0.909490 + 0.415726i \(0.863528\pi\)
\(702\) −20.5789 27.6562i −0.776702 1.04382i
\(703\) −21.0548 6.84113i −0.794098 0.258018i
\(704\) 7.56497 + 13.1772i 0.285116 + 0.496634i
\(705\) 18.6397 + 20.2245i 0.702010 + 0.761699i
\(706\) 17.0397 8.30220i 0.641296 0.312457i
\(707\) −2.71158 −0.101979
\(708\) 40.3649 24.7473i 1.51701 0.930061i
\(709\) −26.2223 19.0516i −0.984798 0.715498i −0.0260224 0.999661i \(-0.508284\pi\)
−0.958776 + 0.284164i \(0.908284\pi\)
\(710\) 7.33978 2.25559i 0.275457 0.0846507i
\(711\) −2.95339 4.89251i −0.110761 0.183483i
\(712\) −5.32061 + 24.8819i −0.199398 + 0.932489i
\(713\) −22.7947 + 31.3742i −0.853667 + 1.17497i
\(714\) −2.27762 2.57118i −0.0852379 0.0962241i
\(715\) 3.08020 19.6834i 0.115193 0.736117i
\(716\) 40.6019 + 14.8154i 1.51736 + 0.553676i
\(717\) −38.3257 + 10.6710i −1.43130 + 0.398515i
\(718\) 34.3632 4.81515i 1.28242 0.179700i
\(719\) −11.1789 34.4052i −0.416903 1.28310i −0.910538 0.413426i \(-0.864332\pi\)
0.493634 0.869669i \(-0.335668\pi\)
\(720\) 21.6723 15.8212i 0.807680 0.589622i
\(721\) 0.447138 1.37615i 0.0166523 0.0512505i
\(722\) −2.81779 + 15.9425i −0.104867 + 0.593318i
\(723\) 7.69223 + 11.5958i 0.286077 + 0.431254i
\(724\) 42.2217 12.0697i 1.56916 0.448565i
\(725\) 27.7099 + 19.9761i 1.02912 + 0.741895i
\(726\) 1.74674 + 18.0239i 0.0648277 + 0.668929i
\(727\) 9.73296 + 13.3963i 0.360976 + 0.496840i 0.950420 0.310969i \(-0.100653\pi\)
−0.589445 + 0.807809i \(0.700653\pi\)
\(728\) 4.08932 0.424752i 0.151560 0.0157424i
\(729\) −14.5657 + 22.7341i −0.539470 + 0.842005i
\(730\) 28.1124 + 9.63450i 1.04049 + 0.356589i
\(731\) 5.25793 + 16.1822i 0.194472 + 0.598522i
\(732\) −7.67129 31.9237i −0.283539 1.17993i
\(733\) −2.17150 6.68320i −0.0802063 0.246850i 0.902911 0.429829i \(-0.141426\pi\)
−0.983117 + 0.182979i \(0.941426\pi\)
\(734\) 20.8480 39.1709i 0.769514 1.44582i
\(735\) 13.0999 23.3102i 0.483199 0.859811i
\(736\) −8.87353 + 35.2834i −0.327083 + 1.30056i
\(737\) 7.47882 10.2937i 0.275486 0.379174i
\(738\) 3.53728 5.46657i 0.130209 0.201227i
\(739\) −13.1867 18.1499i −0.485081 0.667656i 0.494391 0.869240i \(-0.335391\pi\)
−0.979471 + 0.201584i \(0.935391\pi\)
\(740\) 12.2503 + 13.1096i 0.450332 + 0.481919i
\(741\) −35.1167 27.8743i −1.29004 1.02399i
\(742\) −0.145612 0.298859i −0.00534560 0.0109715i
\(743\) −45.8197 −1.68096 −0.840480 0.541842i \(-0.817727\pi\)
−0.840480 + 0.541842i \(0.817727\pi\)
\(744\) −18.7851 22.7973i −0.688695 0.835790i
\(745\) 22.8736 + 3.57943i 0.838023 + 0.131140i
\(746\) −0.779195 + 4.40853i −0.0285283 + 0.161408i
\(747\) −2.99258 + 7.09046i −0.109493 + 0.259426i
\(748\) 13.5380 + 10.5949i 0.495000 + 0.387386i
\(749\) 0.0952894i 0.00348180i
\(750\) 1.50317 27.3448i 0.0548878 0.998493i
\(751\) 12.7397i 0.464880i −0.972611 0.232440i \(-0.925329\pi\)
0.972611 0.232440i \(-0.0746709\pi\)
\(752\) 10.6840 26.3202i 0.389604 0.959798i
\(753\) 43.5848 + 16.2448i 1.58832 + 0.591992i
\(754\) −44.6331 7.88876i −1.62544 0.287292i
\(755\) −42.6553 6.67502i −1.55239 0.242929i
\(756\) −1.44332 2.87854i −0.0524930 0.104691i
\(757\) 8.77358 0.318881 0.159441 0.987208i \(-0.449031\pi\)
0.159441 + 0.987208i \(0.449031\pi\)
\(758\) 22.2562 10.8439i 0.808382 0.393867i
\(759\) 13.1539 16.5716i 0.477456 0.601509i
\(760\) 21.9453 27.1351i 0.796041 0.984293i
\(761\) −19.8575 27.3316i −0.719836 0.990769i −0.999529 0.0306793i \(-0.990233\pi\)
0.279694 0.960089i \(-0.409767\pi\)
\(762\) 28.9646 + 17.0373i 1.04928 + 0.617198i
\(763\) −1.60743 + 2.21243i −0.0581928 + 0.0800955i
\(764\) 6.50314 8.30968i 0.235275 0.300634i
\(765\) 15.9872 25.8083i 0.578018 0.933103i
\(766\) 26.6321 + 14.1745i 0.962258 + 0.512145i
\(767\) 19.8136 + 60.9799i 0.715427 + 2.20186i
\(768\) −24.3249 13.2778i −0.877749 0.479121i
\(769\) −5.09067 15.6675i −0.183574 0.564984i 0.816346 0.577563i \(-0.195996\pi\)
−0.999921 + 0.0125785i \(0.995996\pi\)
\(770\) 0.603348 1.76050i 0.0217431 0.0634441i
\(771\) −2.34703 + 6.29709i −0.0845262 + 0.226784i
\(772\) 0.187107 5.23571i 0.00673412 0.188437i
\(773\) −8.59165 11.8254i −0.309020 0.425330i 0.626055 0.779779i \(-0.284668\pi\)
−0.935075 + 0.354449i \(0.884668\pi\)
\(774\) 0.860982