Properties

Label 483.2.bf.a.61.27
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.27
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.27

$q$-expansion

\(f(q)\) \(=\) \(q+(1.54285 + 1.21331i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(0.436742 + 1.80028i) q^{4} +(-4.04503 + 0.779615i) q^{5} +(-0.552978 - 1.88327i) q^{6} +(0.0404792 - 2.64544i) q^{7} +(0.120271 - 0.263357i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(1.54285 + 1.21331i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(0.436742 + 1.80028i) q^{4} +(-4.04503 + 0.779615i) q^{5} +(-0.552978 - 1.88327i) q^{6} +(0.0404792 - 2.64544i) q^{7} +(0.120271 - 0.263357i) q^{8} +(0.327068 + 0.945001i) q^{9} +(-7.18677 - 3.70504i) q^{10} +(-3.14530 - 3.99958i) q^{11} +(0.688503 - 1.71980i) q^{12} +(0.309335 + 0.481334i) q^{13} +(3.27219 - 4.03240i) q^{14} +(3.74720 + 1.71129i) q^{15} +(3.79822 - 1.95812i) q^{16} +(-2.05258 - 1.95713i) q^{17} +(-0.641962 + 1.85483i) q^{18} +(-3.00021 + 2.86069i) q^{19} +(-3.17016 - 6.94167i) q^{20} +(-1.56748 + 2.13143i) q^{21} -9.98695i q^{22} +(-4.78074 - 0.380220i) q^{23} +(-0.250732 + 0.144760i) q^{24} +(11.1126 - 4.44882i) q^{25} +(-0.106751 + 1.11794i) q^{26} +(0.281733 - 0.959493i) q^{27} +(4.78020 - 1.08250i) q^{28} +(-1.31746 + 0.386842i) q^{29} +(3.70504 + 7.18677i) q^{30} +(0.329319 + 3.44879i) q^{31} +(7.66730 + 1.47775i) q^{32} +(0.242105 + 5.08241i) q^{33} +(-0.792213 - 5.50996i) q^{34} +(1.89869 + 10.7324i) q^{35} +(-1.55842 + 1.00153i) q^{36} +(7.06231 - 2.44429i) q^{37} +(-8.09977 + 0.773434i) q^{38} +(0.0272246 - 0.571515i) q^{39} +(-0.281183 + 1.15905i) q^{40} +(5.88229 - 5.09703i) q^{41} +(-5.00447 + 1.38664i) q^{42} +(-10.9164 + 4.98535i) q^{43} +(5.82665 - 7.40919i) q^{44} +(-2.05974 - 3.56757i) q^{45} +(-6.91462 - 6.38713i) q^{46} +(-10.5973 - 6.11834i) q^{47} +(-4.22976 - 0.608147i) q^{48} +(-6.99672 - 0.214171i) q^{49} +(22.5428 + 6.61918i) q^{50} +(0.536735 + 2.78484i) q^{51} +(-0.731435 + 0.767107i) q^{52} +(-1.07359 - 0.0511416i) q^{53} +(1.59883 - 1.13852i) q^{54} +(15.8410 + 13.7263i) q^{55} +(-0.691827 - 0.328831i) q^{56} +(4.10326 - 0.589960i) q^{57} +(-2.50200 - 1.00165i) q^{58} +(-0.353243 + 0.685195i) q^{59} +(-1.44423 + 7.49339i) q^{60} +(-2.47874 - 3.48090i) q^{61} +(-3.67635 + 5.72052i) q^{62} +(2.51318 - 0.826986i) q^{63} +(4.43973 + 5.12372i) q^{64} +(-1.62652 - 1.70585i) q^{65} +(-5.79300 + 8.13513i) q^{66} +(3.80318 + 9.49990i) q^{67} +(2.62693 - 4.54997i) q^{68} +(3.67372 + 3.08282i) q^{69} +(-10.0924 + 18.8622i) q^{70} +(-0.213781 + 1.48688i) q^{71} +(0.288209 + 0.0275207i) q^{72} +(8.43795 - 2.04702i) q^{73} +(13.8617 + 4.79760i) q^{74} +(-11.6326 - 2.82205i) q^{75} +(-6.46035 - 4.15182i) q^{76} +(-10.7080 + 8.15881i) q^{77} +(0.735427 - 0.848728i) q^{78} +(-0.678582 + 0.0323248i) q^{79} +(-13.8373 + 10.8818i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(15.2597 - 0.726911i) q^{82} +(5.76772 - 6.65630i) q^{83} +(-4.52175 - 1.89101i) q^{84} +(9.82855 + 6.31642i) q^{85} +(-22.8911 - 5.55332i) q^{86} +(1.29756 + 0.449091i) q^{87} +(-1.43161 + 0.347304i) q^{88} +(16.5538 + 1.58070i) q^{89} +(1.15070 - 8.00331i) q^{90} +(1.28586 - 0.798843i) q^{91} +(-1.40345 - 8.77270i) q^{92} +(1.73224 - 3.00032i) q^{93} +(-8.92655 - 22.2974i) q^{94} +(9.90569 - 13.9106i) q^{95} +(-5.38842 - 5.65121i) q^{96} +(-9.64755 - 11.1339i) q^{97} +(-10.5350 - 8.81962i) q^{98} +(2.75088 - 4.28045i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.54285 + 1.21331i 1.09096 + 0.857939i 0.990570 0.137010i \(-0.0437492\pi\)
0.100388 + 0.994948i \(0.467992\pi\)
\(3\) −0.814576 0.580057i −0.470296 0.334896i
\(4\) 0.436742 + 1.80028i 0.218371 + 0.900138i
\(5\) −4.04503 + 0.779615i −1.80899 + 0.348655i −0.978157 0.207866i \(-0.933348\pi\)
−0.830834 + 0.556520i \(0.812136\pi\)
\(6\) −0.552978 1.88327i −0.225752 0.768842i
\(7\) 0.0404792 2.64544i 0.0152997 0.999883i
\(8\) 0.120271 0.263357i 0.0425223 0.0931108i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) −7.18677 3.70504i −2.27266 1.17164i
\(11\) −3.14530 3.99958i −0.948344 1.20592i −0.978474 0.206371i \(-0.933834\pi\)
0.0301297 0.999546i \(-0.490408\pi\)
\(12\) 0.688503 1.71980i 0.198754 0.496462i
\(13\) 0.309335 + 0.481334i 0.0857940 + 0.133498i 0.881498 0.472187i \(-0.156535\pi\)
−0.795704 + 0.605685i \(0.792899\pi\)
\(14\) 3.27219 4.03240i 0.874529 1.07770i
\(15\) 3.74720 + 1.71129i 0.967524 + 0.441853i
\(16\) 3.79822 1.95812i 0.949555 0.489529i
\(17\) −2.05258 1.95713i −0.497824 0.474674i 0.399070 0.916920i \(-0.369333\pi\)
−0.896893 + 0.442247i \(0.854182\pi\)
\(18\) −0.641962 + 1.85483i −0.151312 + 0.437187i
\(19\) −3.00021 + 2.86069i −0.688295 + 0.656288i −0.951215 0.308530i \(-0.900163\pi\)
0.262920 + 0.964818i \(0.415315\pi\)
\(20\) −3.17016 6.94167i −0.708869 1.55221i
\(21\) −1.56748 + 2.13143i −0.342052 + 0.465117i
\(22\) 9.98695i 2.12923i
\(23\) −4.78074 0.380220i −0.996852 0.0792814i
\(24\) −0.250732 + 0.144760i −0.0511805 + 0.0295490i
\(25\) 11.1126 4.44882i 2.22252 0.889764i
\(26\) −0.106751 + 1.11794i −0.0209355 + 0.219247i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) 4.78020 1.08250i 0.903373 0.204574i
\(29\) −1.31746 + 0.386842i −0.244647 + 0.0718348i −0.401757 0.915746i \(-0.631600\pi\)
0.157110 + 0.987581i \(0.449782\pi\)
\(30\) 3.70504 + 7.18677i 0.676445 + 1.31212i
\(31\) 0.329319 + 3.44879i 0.0591475 + 0.619420i 0.975641 + 0.219372i \(0.0704007\pi\)
−0.916494 + 0.400049i \(0.868993\pi\)
\(32\) 7.66730 + 1.47775i 1.35540 + 0.261232i
\(33\) 0.242105 + 5.08241i 0.0421451 + 0.884734i
\(34\) −0.792213 5.50996i −0.135863 0.944951i
\(35\) 1.89869 + 10.7324i 0.320937 + 1.81411i
\(36\) −1.55842 + 1.00153i −0.259736 + 0.166922i
\(37\) 7.06231 2.44429i 1.16104 0.401839i 0.322440 0.946590i \(-0.395497\pi\)
0.838598 + 0.544751i \(0.183376\pi\)
\(38\) −8.09977 + 0.773434i −1.31396 + 0.125468i
\(39\) 0.0272246 0.571515i 0.00435943 0.0915156i
\(40\) −0.281183 + 1.15905i −0.0444589 + 0.183262i
\(41\) 5.88229 5.09703i 0.918660 0.796023i −0.0606985 0.998156i \(-0.519333\pi\)
0.979358 + 0.202133i \(0.0647874\pi\)
\(42\) −5.00447 + 1.38664i −0.772206 + 0.213963i
\(43\) −10.9164 + 4.98535i −1.66473 + 0.760258i −0.664821 + 0.747003i \(0.731492\pi\)
−0.999912 + 0.0132556i \(0.995780\pi\)
\(44\) 5.82665 7.40919i 0.878401 1.11698i
\(45\) −2.05974 3.56757i −0.307047 0.531822i
\(46\) −6.91462 6.38713i −1.01951 0.941731i
\(47\) −10.5973 6.11834i −1.54577 0.892452i −0.998457 0.0555257i \(-0.982317\pi\)
−0.547315 0.836927i \(-0.684350\pi\)
\(48\) −4.22976 0.608147i −0.610513 0.0877785i
\(49\) −6.99672 0.214171i −0.999532 0.0305958i
\(50\) 22.5428 + 6.61918i 3.18804 + 0.936093i
\(51\) 0.536735 + 2.78484i 0.0751579 + 0.389956i
\(52\) −0.731435 + 0.767107i −0.101432 + 0.106379i
\(53\) −1.07359 0.0511416i −0.147469 0.00702484i −0.0262826 0.999655i \(-0.508367\pi\)
−0.121187 + 0.992630i \(0.538670\pi\)
\(54\) 1.59883 1.13852i 0.217573 0.154933i
\(55\) 15.8410 + 13.7263i 2.13599 + 1.85085i
\(56\) −0.691827 0.328831i −0.0924493 0.0439418i
\(57\) 4.10326 0.589960i 0.543490 0.0781421i
\(58\) −2.50200 1.00165i −0.328529 0.131523i
\(59\) −0.353243 + 0.685195i −0.0459883 + 0.0892048i −0.910710 0.413047i \(-0.864465\pi\)
0.864722 + 0.502252i \(0.167495\pi\)
\(60\) −1.44423 + 7.49339i −0.186450 + 0.967393i
\(61\) −2.47874 3.48090i −0.317370 0.445684i 0.624817 0.780771i \(-0.285174\pi\)
−0.942187 + 0.335088i \(0.891234\pi\)
\(62\) −3.67635 + 5.72052i −0.466897 + 0.726506i
\(63\) 2.51318 0.826986i 0.316631 0.104190i
\(64\) 4.43973 + 5.12372i 0.554966 + 0.640465i
\(65\) −1.62652 1.70585i −0.201745 0.211584i
\(66\) −5.79300 + 8.13513i −0.713069 + 1.00137i
\(67\) 3.80318 + 9.49990i 0.464633 + 1.16060i 0.956969 + 0.290192i \(0.0937190\pi\)
−0.492336 + 0.870405i \(0.663857\pi\)
\(68\) 2.62693 4.54997i 0.318562 0.551765i
\(69\) 3.67372 + 3.08282i 0.442264 + 0.371128i
\(70\) −10.0924 + 18.8622i −1.20627 + 2.25447i
\(71\) −0.213781 + 1.48688i −0.0253712 + 0.176461i −0.998567 0.0535181i \(-0.982957\pi\)
0.973196 + 0.229979i \(0.0738656\pi\)
\(72\) 0.288209 + 0.0275207i 0.0339658 + 0.00324334i
\(73\) 8.43795 2.04702i 0.987587 0.239586i 0.290737 0.956803i \(-0.406100\pi\)
0.696850 + 0.717217i \(0.254584\pi\)
\(74\) 13.8617 + 4.79760i 1.61140 + 0.557709i
\(75\) −11.6326 2.82205i −1.34322 0.325862i
\(76\) −6.46035 4.15182i −0.741053 0.476246i
\(77\) −10.7080 + 8.15881i −1.22029 + 0.929783i
\(78\) 0.735427 0.848728i 0.0832707 0.0960996i
\(79\) −0.678582 + 0.0323248i −0.0763464 + 0.00363683i −0.0857204 0.996319i \(-0.527319\pi\)
0.00937394 + 0.999956i \(0.497016\pi\)
\(80\) −13.8373 + 10.8818i −1.54706 + 1.21662i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) 15.2597 0.726911i 1.68516 0.0802739i
\(83\) 5.76772 6.65630i 0.633089 0.730624i −0.345048 0.938585i \(-0.612137\pi\)
0.978137 + 0.207961i \(0.0666828\pi\)
\(84\) −4.52175 1.89101i −0.493364 0.206326i
\(85\) 9.82855 + 6.31642i 1.06606 + 0.685112i
\(86\) −22.8911 5.55332i −2.46841 0.598829i
\(87\) 1.29756 + 0.449091i 0.139113 + 0.0481476i
\(88\) −1.43161 + 0.347304i −0.152610 + 0.0370227i
\(89\) 16.5538 + 1.58070i 1.75470 + 0.167554i 0.922263 0.386562i \(-0.126338\pi\)
0.832439 + 0.554116i \(0.186944\pi\)
\(90\) 1.15070 8.00331i 0.121295 0.843623i
\(91\) 1.28586 0.798843i 0.134795 0.0837415i
\(92\) −1.40345 8.77270i −0.146320 0.914617i
\(93\) 1.73224 3.00032i 0.179625 0.311119i
\(94\) −8.92655 22.2974i −0.920703 2.29981i
\(95\) 9.90569 13.9106i 1.01630 1.42720i
\(96\) −5.38842 5.65121i −0.549953 0.576774i
\(97\) −9.64755 11.1339i −0.979561 1.13047i −0.991443 0.130544i \(-0.958328\pi\)
0.0118820 0.999929i \(-0.496218\pi\)
\(98\) −10.5350 8.81962i −1.06420 0.890916i
\(99\) 2.75088 4.28045i 0.276473 0.430201i
\(100\) 12.8624 + 18.0628i 1.28624 + 1.80628i
\(101\) −0.276542 + 1.43483i −0.0275169 + 0.142771i −0.993089 0.117365i \(-0.962555\pi\)
0.965572 + 0.260136i \(0.0837674\pi\)
\(102\) −2.55077 + 4.94781i −0.252564 + 0.489906i
\(103\) 6.16186 + 2.46684i 0.607146 + 0.243065i 0.654804 0.755799i \(-0.272751\pi\)
−0.0476576 + 0.998864i \(0.515176\pi\)
\(104\) 0.163967 0.0235749i 0.0160783 0.00231170i
\(105\) 4.67880 9.84374i 0.456604 0.960650i
\(106\) −1.59434 1.38150i −0.154856 0.134184i
\(107\) −3.15601 + 2.24739i −0.305103 + 0.217263i −0.722346 0.691532i \(-0.756936\pi\)
0.417242 + 0.908795i \(0.362997\pi\)
\(108\) 1.85040 + 0.0881452i 0.178054 + 0.00848178i
\(109\) 7.10887 7.45557i 0.680906 0.714114i −0.289072 0.957307i \(-0.593347\pi\)
0.969978 + 0.243194i \(0.0781950\pi\)
\(110\) 7.78598 + 40.3975i 0.742364 + 3.85175i
\(111\) −7.17062 2.10548i −0.680605 0.199844i
\(112\) −5.02634 10.1272i −0.474944 0.956933i
\(113\) 10.3353 + 1.48599i 0.972260 + 0.139790i 0.610099 0.792326i \(-0.291130\pi\)
0.362161 + 0.932115i \(0.382039\pi\)
\(114\) 7.04651 + 4.06830i 0.659966 + 0.381032i
\(115\) 19.6346 2.18913i 1.83094 0.204138i
\(116\) −1.27181 2.20285i −0.118085 0.204529i
\(117\) −0.353688 + 0.449751i −0.0326984 + 0.0415794i
\(118\) −1.37635 + 0.628559i −0.126704 + 0.0578636i
\(119\) −5.26056 + 5.35075i −0.482235 + 0.490503i
\(120\) 0.901361 0.781033i 0.0822826 0.0712983i
\(121\) −3.51034 + 14.4698i −0.319122 + 1.31544i
\(122\) 0.399092 8.37797i 0.0361321 0.758506i
\(123\) −7.74814 + 0.739858i −0.698626 + 0.0667107i
\(124\) −6.06494 + 2.09910i −0.544648 + 0.188504i
\(125\) −24.1549 + 15.5234i −2.16048 + 1.38845i
\(126\) 4.88085 + 1.77335i 0.434821 + 0.157983i
\(127\) −2.27503 15.8232i −0.201877 1.40408i −0.798709 0.601717i \(-0.794483\pi\)
0.596832 0.802366i \(-0.296426\pi\)
\(128\) −0.109908 2.30725i −0.00971456 0.203934i
\(129\) 11.7840 + 2.27118i 1.03752 + 0.199966i
\(130\) −0.439756 4.60534i −0.0385692 0.403915i
\(131\) 2.79273 + 5.41714i 0.244002 + 0.473298i 0.978754 0.205038i \(-0.0657317\pi\)
−0.734752 + 0.678336i \(0.762701\pi\)
\(132\) −9.04400 + 2.65556i −0.787180 + 0.231137i
\(133\) 7.44635 + 8.05267i 0.645680 + 0.698255i
\(134\) −5.65857 + 19.2713i −0.488826 + 1.66479i
\(135\) −0.391581 + 4.10082i −0.0337019 + 0.352942i
\(136\) −0.762290 + 0.305175i −0.0653658 + 0.0261685i
\(137\) 5.82148 3.36104i 0.497363 0.287153i −0.230261 0.973129i \(-0.573958\pi\)
0.727624 + 0.685976i \(0.240625\pi\)
\(138\) 1.92758 + 9.21367i 0.164087 + 0.784320i
\(139\) 15.4918i 1.31400i −0.753893 0.656998i \(-0.771826\pi\)
0.753893 0.656998i \(-0.228174\pi\)
\(140\) −18.4921 + 8.10547i −1.56287 + 0.685037i
\(141\) 5.08330 + 11.1309i 0.428091 + 0.937389i
\(142\) −2.13388 + 2.03465i −0.179071 + 0.170744i
\(143\) 0.952182 2.75115i 0.0796254 0.230063i
\(144\) 3.09270 + 2.94888i 0.257725 + 0.245740i
\(145\) 5.02759 2.59190i 0.417518 0.215246i
\(146\) 15.5021 + 7.07959i 1.28297 + 0.585911i
\(147\) 5.57513 + 4.23296i 0.459829 + 0.349128i
\(148\) 7.48481 + 11.6466i 0.615247 + 0.957344i
\(149\) −0.267401 + 0.667934i −0.0219063 + 0.0547193i −0.938918 0.344141i \(-0.888170\pi\)
0.917012 + 0.398861i \(0.130594\pi\)
\(150\) −14.5234 18.4680i −1.18583 1.50790i
\(151\) −13.1672 6.78814i −1.07153 0.552411i −0.170139 0.985420i \(-0.554422\pi\)
−0.901390 + 0.433009i \(0.857452\pi\)
\(152\) 0.392545 + 1.13418i 0.0318396 + 0.0919945i
\(153\) 1.17816 2.57980i 0.0952483 0.208565i
\(154\) −26.4199 0.404264i −2.12898 0.0325765i
\(155\) −4.02083 13.6937i −0.322961 1.09990i
\(156\) 1.04077 0.200593i 0.0833287 0.0160603i
\(157\) −2.90814 11.9875i −0.232095 0.956709i −0.961976 0.273134i \(-0.911940\pi\)
0.729881 0.683574i \(-0.239575\pi\)
\(158\) −1.08617 0.773457i −0.0864109 0.0615329i
\(159\) 0.844859 + 0.664404i 0.0670017 + 0.0526907i
\(160\) −32.1665 −2.54299
\(161\) −1.19937 + 12.6318i −0.0945237 + 0.995523i
\(162\) −1.96278 −0.154210
\(163\) 0.759239 + 0.597072i 0.0594682 + 0.0467663i 0.647451 0.762107i \(-0.275835\pi\)
−0.587982 + 0.808874i \(0.700078\pi\)
\(164\) 11.7451 + 8.36366i 0.917139 + 0.653092i
\(165\) −4.94165 20.3697i −0.384707 1.58578i
\(166\) 16.9748 3.27163i 1.31750 0.253928i
\(167\) −2.87636 9.79597i −0.222579 0.758035i −0.992750 0.120197i \(-0.961647\pi\)
0.770171 0.637838i \(-0.220171\pi\)
\(168\) 0.372805 + 0.669157i 0.0287625 + 0.0516266i
\(169\) 5.26440 11.5274i 0.404954 0.886725i
\(170\) 7.50018 + 21.6703i 0.575237 + 1.66204i
\(171\) −3.68463 1.89956i −0.281771 0.145263i
\(172\) −13.7426 17.4752i −1.04787 1.33247i
\(173\) −3.18369 + 7.95248i −0.242052 + 0.604616i −0.998794 0.0490974i \(-0.984366\pi\)
0.756742 + 0.653713i \(0.226790\pi\)
\(174\) 1.45706 + 2.26722i 0.110459 + 0.171878i
\(175\) −11.3193 29.5778i −0.855656 2.23588i
\(176\) −19.7782 9.03239i −1.49084 0.680842i
\(177\) 0.685195 0.353243i 0.0515024 0.0265514i
\(178\) 23.6222 + 22.5237i 1.77056 + 1.68822i
\(179\) −5.10953 + 14.7630i −0.381904 + 1.10344i 0.576271 + 0.817258i \(0.304507\pi\)
−0.958176 + 0.286181i \(0.907614\pi\)
\(180\) 5.52303 5.26620i 0.411662 0.392519i
\(181\) −6.13792 13.4402i −0.456228 0.999000i −0.988331 0.152320i \(-0.951326\pi\)
0.532103 0.846679i \(-0.321402\pi\)
\(182\) 2.95313 + 0.327656i 0.218901 + 0.0242875i
\(183\) 4.27327i 0.315889i
\(184\) −0.675118 + 1.21331i −0.0497704 + 0.0894464i
\(185\) −26.6617 + 15.3931i −1.96020 + 1.13172i
\(186\) 6.31289 2.52730i 0.462884 0.185311i
\(187\) −1.37171 + 14.3652i −0.100309 + 1.05049i
\(188\) 6.38643 21.7502i 0.465778 1.58629i
\(189\) −2.52688 0.784147i −0.183803 0.0570383i
\(190\) 32.1608 9.44326i 2.33319 0.685086i
\(191\) 2.93839 + 5.69968i 0.212615 + 0.412415i 0.970892 0.239517i \(-0.0769891\pi\)
−0.758278 + 0.651932i \(0.773959\pi\)
\(192\) −0.644447 6.74895i −0.0465089 0.487064i
\(193\) −7.19516 1.38675i −0.517919 0.0998207i −0.0764082 0.997077i \(-0.524345\pi\)
−0.441511 + 0.897256i \(0.645557\pi\)
\(194\) −1.37588 28.8833i −0.0987826 2.07370i
\(195\) 0.335437 + 2.33302i 0.0240212 + 0.167071i
\(196\) −2.67020 12.6896i −0.190728 0.906398i
\(197\) −11.0046 + 7.07225i −0.784048 + 0.503877i −0.870375 0.492390i \(-0.836123\pi\)
0.0863271 + 0.996267i \(0.472487\pi\)
\(198\) 9.43768 3.26641i 0.670707 0.232134i
\(199\) 10.4855 1.00124i 0.743297 0.0709763i 0.283466 0.958982i \(-0.408516\pi\)
0.459832 + 0.888006i \(0.347910\pi\)
\(200\) 0.164899 3.46165i 0.0116601 0.244775i
\(201\) 2.41250 9.94445i 0.170164 0.701427i
\(202\) −2.16756 + 1.87820i −0.152509 + 0.132150i
\(203\) 0.970038 + 3.50093i 0.0680833 + 0.245717i
\(204\) −4.77907 + 2.18253i −0.334602 + 0.152808i
\(205\) −19.8203 + 25.2036i −1.38431 + 1.76029i
\(206\) 6.51377 + 11.2822i 0.453836 + 0.786067i
\(207\) −1.20432 4.64216i −0.0837058 0.322652i
\(208\) 2.11743 + 1.22250i 0.146817 + 0.0847650i
\(209\) 20.8781 + 3.00182i 1.44417 + 0.207640i
\(210\) 19.1622 9.51055i 1.32232 0.656290i
\(211\) −18.7581 5.50786i −1.29136 0.379177i −0.437282 0.899325i \(-0.644059\pi\)
−0.854076 + 0.520147i \(0.825877\pi\)
\(212\) −0.376815 1.95510i −0.0258797 0.134277i
\(213\) 1.03662 1.08717i 0.0710279 0.0744919i
\(214\) −7.59602 0.361843i −0.519253 0.0247351i
\(215\) 40.2704 28.6764i 2.74642 1.95572i
\(216\) −0.218805 0.189596i −0.0148878 0.0129003i
\(217\) 9.13689 0.731591i 0.620253 0.0496636i
\(218\) 20.0138 2.87755i 1.35551 0.194892i
\(219\) −8.06074 3.22703i −0.544694 0.218063i
\(220\) −17.7927 + 34.5129i −1.19958 + 2.32686i
\(221\) 0.307100 1.59338i 0.0206578 0.107183i
\(222\) −8.50857 11.9486i −0.571058 0.801938i
\(223\) 0.252040 0.392182i 0.0168779 0.0262625i −0.832712 0.553706i \(-0.813213\pi\)
0.849590 + 0.527444i \(0.176849\pi\)
\(224\) 4.21967 20.2236i 0.281938 1.35124i
\(225\) 7.83872 + 9.04636i 0.522581 + 0.603091i
\(226\) 14.1428 + 14.8325i 0.940763 + 0.986644i
\(227\) 2.23794 3.14275i 0.148537 0.208591i −0.733603 0.679578i \(-0.762163\pi\)
0.882140 + 0.470987i \(0.156102\pi\)
\(228\) 2.85416 + 7.12934i 0.189021 + 0.472152i
\(229\) −10.1583 + 17.5947i −0.671279 + 1.16269i 0.306263 + 0.951947i \(0.400921\pi\)
−0.977542 + 0.210742i \(0.932412\pi\)
\(230\) 32.9493 + 20.4454i 2.17261 + 1.34813i
\(231\) 13.4550 0.434743i 0.885276 0.0286040i
\(232\) −0.0565752 + 0.393489i −0.00371434 + 0.0258338i
\(233\) −1.72011 0.164250i −0.112688 0.0107604i 0.0385597 0.999256i \(-0.487723\pi\)
−0.151248 + 0.988496i \(0.548329\pi\)
\(234\) −1.09137 + 0.264764i −0.0713452 + 0.0173082i
\(235\) 47.6363 + 16.4871i 3.10745 + 1.07550i
\(236\) −1.38782 0.336681i −0.0903392 0.0219160i
\(237\) 0.571507 + 0.367285i 0.0371234 + 0.0238577i
\(238\) −14.6084 + 1.87271i −0.946919 + 0.121390i
\(239\) 0.325249 0.375358i 0.0210386 0.0242799i −0.745133 0.666916i \(-0.767614\pi\)
0.766171 + 0.642636i \(0.222159\pi\)
\(240\) 17.5836 0.837610i 1.13502 0.0540675i
\(241\) 8.83402 6.94715i 0.569049 0.447505i −0.291718 0.956504i \(-0.594227\pi\)
0.860767 + 0.508999i \(0.169984\pi\)
\(242\) −22.9723 + 18.0656i −1.47671 + 1.16130i
\(243\) 0.998867 0.0475819i 0.0640774 0.00305238i
\(244\) 5.18401 5.98267i 0.331872 0.383001i
\(245\) 28.4689 4.58843i 1.81881 0.293144i
\(246\) −12.8519 8.25940i −0.819406 0.526600i
\(247\) −2.30502 0.559191i −0.146665 0.0355805i
\(248\) 0.947870 + 0.328061i 0.0601898 + 0.0208319i
\(249\) −8.55928 + 2.07646i −0.542422 + 0.131590i
\(250\) −56.1019 5.35708i −3.54820 0.338812i
\(251\) 0.0185683 0.129146i 0.00117202 0.00815160i −0.989227 0.146389i \(-0.953235\pi\)
0.990399 + 0.138238i \(0.0441438\pi\)
\(252\) 2.58642 + 4.16324i 0.162929 + 0.262260i
\(253\) 13.5161 + 20.3168i 0.849752 + 1.27731i
\(254\) 15.6884 27.1731i 0.984378 1.70499i
\(255\) −4.34221 10.8463i −0.271920 0.679223i
\(256\) 10.4950 14.7382i 0.655937 0.921135i
\(257\) −6.82011 7.15273i −0.425427 0.446175i 0.475780 0.879564i \(-0.342166\pi\)
−0.901207 + 0.433390i \(0.857317\pi\)
\(258\) 15.4253 + 17.8017i 0.960336 + 1.10829i
\(259\) −6.18035 18.7819i −0.384028 1.16705i
\(260\) 2.36063 3.67321i 0.146400 0.227803i
\(261\) −0.796466 1.11848i −0.0493000 0.0692322i
\(262\) −2.26391 + 11.7463i −0.139865 + 0.725687i
\(263\) −6.74519 + 13.0838i −0.415926 + 0.806785i −0.999988 0.00492486i \(-0.998432\pi\)
0.584062 + 0.811709i \(0.301463\pi\)
\(264\) 1.36761 + 0.547507i 0.0841704 + 0.0336967i
\(265\) 4.38259 0.630121i 0.269220 0.0387080i
\(266\) 1.71820 + 21.4588i 0.105350 + 1.31572i
\(267\) −12.5675 10.8898i −0.769116 0.666443i
\(268\) −15.4414 + 10.9958i −0.943235 + 0.671675i
\(269\) 13.7699 + 0.655940i 0.839564 + 0.0399933i 0.462958 0.886380i \(-0.346788\pi\)
0.376606 + 0.926374i \(0.377091\pi\)
\(270\) −5.57971 + 5.85183i −0.339570 + 0.356131i
\(271\) 1.54618 + 8.02237i 0.0939240 + 0.487324i 0.998178 + 0.0603301i \(0.0192153\pi\)
−0.904254 + 0.426994i \(0.859573\pi\)
\(272\) −11.6284 3.41442i −0.705077 0.207029i
\(273\) −1.51081 0.0951556i −0.0914382 0.00575908i
\(274\) 13.0596 + 1.87769i 0.788961 + 0.113436i
\(275\) −52.7459 30.4529i −3.18070 1.83638i
\(276\) −3.94545 + 7.96011i −0.237488 + 0.479142i
\(277\) −1.28957 2.23360i −0.0774827 0.134204i 0.824681 0.565599i \(-0.191355\pi\)
−0.902163 + 0.431395i \(0.858022\pi\)
\(278\) 18.7963 23.9014i 1.12733 1.43351i
\(279\) −3.15140 + 1.43919i −0.188669 + 0.0861623i
\(280\) 3.05482 + 0.790770i 0.182560 + 0.0472576i
\(281\) 4.18846 3.62932i 0.249863 0.216507i −0.520920 0.853606i \(-0.674411\pi\)
0.770782 + 0.637098i \(0.219866\pi\)
\(282\) −5.66243 + 23.3409i −0.337193 + 1.38993i
\(283\) 0.580238 12.1807i 0.0344915 0.724067i −0.913704 0.406380i \(-0.866791\pi\)
0.948196 0.317687i \(-0.102906\pi\)
\(284\) −2.77017 + 0.264519i −0.164379 + 0.0156963i
\(285\) −16.1379 + 5.58537i −0.955925 + 0.330849i
\(286\) 4.80706 3.08931i 0.284248 0.182675i
\(287\) −13.2458 15.7676i −0.781875 0.930731i
\(288\) 1.11125 + 7.72892i 0.0654811 + 0.455431i
\(289\) −0.426170 8.94642i −0.0250688 0.526260i
\(290\) 10.9016 + 2.10111i 0.640162 + 0.123381i
\(291\) 1.40039 + 14.6655i 0.0820921 + 0.859707i
\(292\) 7.37041 + 14.2966i 0.431321 + 0.836646i
\(293\) −13.0792 + 3.84040i −0.764095 + 0.224359i −0.640483 0.767972i \(-0.721266\pi\)
−0.123612 + 0.992331i \(0.539448\pi\)
\(294\) 3.46569 + 13.2952i 0.202123 + 0.775389i
\(295\) 0.894688 3.04703i 0.0520908 0.177405i
\(296\) 0.205671 2.15389i 0.0119544 0.125192i
\(297\) −4.72370 + 1.89108i −0.274097 + 0.109732i
\(298\) −1.22297 + 0.706081i −0.0708447 + 0.0409022i
\(299\) −1.29583 2.41875i −0.0749400 0.139880i
\(300\) 22.1745i 1.28024i
\(301\) 12.7466 + 29.0805i 0.734699 + 1.67617i
\(302\) −12.0788 26.4489i −0.695057 1.52196i
\(303\) 1.05755 1.00837i 0.0607546 0.0579294i
\(304\) −5.79387 + 16.7403i −0.332301 + 0.960122i
\(305\) 12.7403 + 12.1479i 0.729509 + 0.695585i
\(306\) 4.94781 2.55077i 0.282848 0.145818i
\(307\) 5.75626 + 2.62879i 0.328527 + 0.150033i 0.572849 0.819661i \(-0.305838\pi\)
−0.244322 + 0.969694i \(0.578565\pi\)
\(308\) −19.3647 15.7140i −1.10341 0.895388i
\(309\) −3.58840 5.58365i −0.204137 0.317643i
\(310\) 10.4111 26.0058i 0.591313 1.47703i
\(311\) −3.91276 4.97548i −0.221872 0.282133i 0.662355 0.749190i \(-0.269557\pi\)
−0.884228 + 0.467056i \(0.845314\pi\)
\(312\) −0.147238 0.0759065i −0.00833572 0.00429736i
\(313\) −4.71292 13.6171i −0.266390 0.769684i −0.996284 0.0861237i \(-0.972552\pi\)
0.729894 0.683560i \(-0.239569\pi\)
\(314\) 10.0577 22.0234i 0.567591 1.24285i
\(315\) −9.52117 + 5.30450i −0.536457 + 0.298875i
\(316\) −0.354559 1.20752i −0.0199455 0.0679281i
\(317\) 0.682323 0.131507i 0.0383231 0.00738617i −0.170054 0.985435i \(-0.554394\pi\)
0.208377 + 0.978049i \(0.433182\pi\)
\(318\) 0.497361 + 2.05015i 0.0278906 + 0.114967i
\(319\) 5.69102 + 4.05256i 0.318636 + 0.226900i
\(320\) −21.9533 17.2643i −1.22723 0.965104i
\(321\) 3.87442 0.216249
\(322\) −17.1767 + 18.0337i −0.957219 + 1.00498i
\(323\) 11.7569 0.654172
\(324\) −1.45616 1.14514i −0.0808977 0.0636187i
\(325\) 5.57888 + 3.97271i 0.309461 + 0.220366i
\(326\) 0.446957 + 1.84238i 0.0247547 + 0.102040i
\(327\) −10.1154 + 1.94958i −0.559381 + 0.107812i
\(328\) −0.634870 2.16217i −0.0350548 0.119386i
\(329\) −16.6147 + 27.7868i −0.915998 + 1.53194i
\(330\) 17.0906 37.4232i 0.940806 2.06008i
\(331\) 5.94898 + 17.1885i 0.326986 + 0.944763i 0.981956 + 0.189108i \(0.0605598\pi\)
−0.654971 + 0.755654i \(0.727319\pi\)
\(332\) 14.5022 + 7.47639i 0.795910 + 0.410320i
\(333\) 4.61971 + 5.87444i 0.253159 + 0.321918i
\(334\) 7.44776 18.6036i 0.407523 1.01794i
\(335\) −22.7903 35.4623i −1.24516 1.93751i
\(336\) −1.78004 + 11.1650i −0.0971089 + 0.609098i
\(337\) 5.31868 + 2.42896i 0.289727 + 0.132314i 0.554977 0.831866i \(-0.312727\pi\)
−0.265250 + 0.964180i \(0.585454\pi\)
\(338\) 22.1085 11.3977i 1.20254 0.619954i
\(339\) −7.55690 7.20549i −0.410435 0.391349i
\(340\) −7.07876 + 20.4527i −0.383900 + 1.10921i
\(341\) 12.7579 12.1646i 0.690878 0.658751i
\(342\) −3.38007 7.40132i −0.182773 0.400218i
\(343\) −0.849798 + 18.5008i −0.0458848 + 0.998947i
\(344\) 3.47450i 0.187332i
\(345\) −17.2637 9.60599i −0.929448 0.517169i
\(346\) −14.5608 + 8.40666i −0.782792 + 0.451945i
\(347\) 29.8344 11.9439i 1.60160 0.641182i 0.612770 0.790261i \(-0.290055\pi\)
0.988825 + 0.149080i \(0.0476310\pi\)
\(348\) −0.241787 + 2.53211i −0.0129612 + 0.135735i
\(349\) −6.51994 + 22.2049i −0.349005 + 1.18860i 0.578780 + 0.815484i \(0.303529\pi\)
−0.927784 + 0.373117i \(0.878289\pi\)
\(350\) 18.4232 59.3679i 0.984760 3.17335i
\(351\) 0.548986 0.161197i 0.0293027 0.00860406i
\(352\) −18.2056 35.3139i −0.970361 1.88224i
\(353\) 0.376840 + 3.94644i 0.0200571 + 0.210048i 0.999945 + 0.0104984i \(0.00334182\pi\)
−0.979888 + 0.199550i \(0.936052\pi\)
\(354\) 1.48574 + 0.286354i 0.0789664 + 0.0152195i
\(355\) −0.294444 6.18115i −0.0156275 0.328061i
\(356\) 4.38406 + 30.4918i 0.232355 + 1.61606i
\(357\) 7.38887 1.30717i 0.391060 0.0691829i
\(358\) −25.7953 + 16.5776i −1.36332 + 0.876155i
\(359\) −10.5829 + 3.66278i −0.558545 + 0.193314i −0.591732 0.806135i \(-0.701556\pi\)
0.0331869 + 0.999449i \(0.489434\pi\)
\(360\) −1.18727 + 0.113371i −0.0625747 + 0.00597515i
\(361\) −0.0863701 + 1.81313i −0.00454580 + 0.0954280i
\(362\) 6.83720 28.1833i 0.359355 1.48128i
\(363\) 11.2528 9.75057i 0.590616 0.511772i
\(364\) 1.99973 + 1.96602i 0.104814 + 0.103047i
\(365\) −32.5358 + 14.8586i −1.70300 + 0.777736i
\(366\) −5.18479 + 6.59300i −0.271013 + 0.344621i
\(367\) 1.26806 + 2.19635i 0.0661922 + 0.114648i 0.897222 0.441579i \(-0.145582\pi\)
−0.831030 + 0.556228i \(0.812248\pi\)
\(368\) −18.9028 + 7.91708i −0.985376 + 0.412707i
\(369\) 6.74061 + 3.89169i 0.350902 + 0.202593i
\(370\) −59.8114 8.59959i −3.10945 0.447071i
\(371\) −0.178750 + 2.83806i −0.00928025 + 0.147345i
\(372\) 6.15795 + 1.80814i 0.319275 + 0.0937475i
\(373\) −2.99070 15.5172i −0.154853 0.803451i −0.973418 0.229037i \(-0.926442\pi\)
0.818565 0.574414i \(-0.194770\pi\)
\(374\) −19.5458 + 20.4990i −1.01069 + 1.05998i
\(375\) 28.6804 + 1.36622i 1.48105 + 0.0705511i
\(376\) −2.88586 + 2.05501i −0.148827 + 0.105979i
\(377\) −0.593737 0.514476i −0.0305790 0.0264969i
\(378\) −2.94718 4.27570i −0.151586 0.219918i
\(379\) −29.0101 + 4.17103i −1.49015 + 0.214251i −0.838764 0.544494i \(-0.816722\pi\)
−0.651387 + 0.758746i \(0.725812\pi\)
\(380\) 29.3691 + 11.7576i 1.50660 + 0.603153i
\(381\) −7.32518 + 14.2089i −0.375280 + 0.727942i
\(382\) −2.38199 + 12.3589i −0.121873 + 0.632337i
\(383\) 7.48112 + 10.5058i 0.382267 + 0.536819i 0.960218 0.279253i \(-0.0900867\pi\)
−0.577950 + 0.816072i \(0.696147\pi\)
\(384\) −1.24881 + 1.94318i −0.0637279 + 0.0991625i
\(385\) 36.9533 41.3507i 1.88331 2.10743i
\(386\) −9.41847 10.8695i −0.479388 0.553243i
\(387\) −8.28156 8.68545i −0.420975 0.441506i
\(388\) 15.8305 22.2309i 0.803674 1.12860i
\(389\) 6.67454 + 16.6722i 0.338413 + 0.845314i 0.995782 + 0.0917458i \(0.0292447\pi\)
−0.657370 + 0.753568i \(0.728331\pi\)
\(390\) −2.31314 + 4.00648i −0.117131 + 0.202876i
\(391\) 9.06870 + 10.1370i 0.458624 + 0.512648i
\(392\) −0.897907 + 1.81688i −0.0453511 + 0.0917662i
\(393\) 0.867360 6.03262i 0.0437525 0.304305i
\(394\) −25.5593 2.44062i −1.28766 0.122956i
\(395\) 2.71968 0.659788i 0.136842 0.0331975i
\(396\) 8.90740 + 3.08288i 0.447614 + 0.154921i
\(397\) −0.640906 0.155482i −0.0321661 0.00780342i 0.219644 0.975580i \(-0.429511\pi\)
−0.251810 + 0.967777i \(0.581026\pi\)
\(398\) 17.3923 + 11.1774i 0.871799 + 0.560271i
\(399\) −1.39461 10.8788i −0.0698177 0.544622i
\(400\) 33.4968 38.6574i 1.67484 1.93287i
\(401\) 11.5221 0.548865i 0.575386 0.0274090i 0.242128 0.970244i \(-0.422155\pi\)
0.333259 + 0.942835i \(0.391852\pi\)
\(402\) 15.7878 12.4157i 0.787424 0.619237i
\(403\) −1.55815 + 1.22534i −0.0776169 + 0.0610386i
\(404\) −2.70387 + 0.128801i −0.134523 + 0.00640811i
\(405\) 2.69768 3.11329i 0.134049 0.154701i
\(406\) −2.75109 + 6.57836i −0.136534 + 0.326478i
\(407\) −31.9892 20.5582i −1.58565 1.01903i
\(408\) 0.797962 + 0.193583i 0.0395050 + 0.00958381i
\(409\) 11.4936 + 3.97797i 0.568322 + 0.196698i 0.596092 0.802916i \(-0.296719\pi\)
−0.0277699 + 0.999614i \(0.508841\pi\)
\(410\) −61.1594 + 14.8371i −3.02045 + 0.732753i
\(411\) −6.69163 0.638974i −0.330074 0.0315182i
\(412\) −1.74984 + 12.1704i −0.0862085 + 0.599593i
\(413\) 1.79835 + 0.962219i 0.0884908 + 0.0473477i
\(414\) 3.77429 8.62335i 0.185496 0.423814i
\(415\) −18.1412 + 31.4215i −0.890518 + 1.54242i
\(416\) 1.66047 + 4.14765i 0.0814112 + 0.203355i
\(417\) −8.98611 + 12.6192i −0.440052 + 0.617966i
\(418\) 28.5696 + 29.9629i 1.39739 + 1.46554i
\(419\) −17.0936 19.7271i −0.835079 0.963733i 0.164665 0.986350i \(-0.447346\pi\)
−0.999744 + 0.0226168i \(0.992800\pi\)
\(420\) 19.7649 + 4.12396i 0.964427 + 0.201229i
\(421\) −7.94406 + 12.3612i −0.387170 + 0.602448i −0.979060 0.203571i \(-0.934745\pi\)
0.591891 + 0.806018i \(0.298382\pi\)
\(422\) −22.2581 31.2571i −1.08351 1.52157i
\(423\) 2.31581 12.0156i 0.112598 0.584216i
\(424\) −0.142591 + 0.276588i −0.00692482 + 0.0134323i
\(425\) −31.5164 12.6173i −1.52877 0.612028i
\(426\) 2.91842 0.419605i 0.141398 0.0203300i
\(427\) −9.30885 + 6.41645i −0.450487 + 0.310514i
\(428\) −5.42428 4.70016i −0.262192 0.227191i
\(429\) −2.37145 + 1.68870i −0.114495 + 0.0815312i
\(430\) 96.9245 + 4.61708i 4.67411 + 0.222656i
\(431\) −5.55779 + 5.82884i −0.267709 + 0.280765i −0.843843 0.536590i \(-0.819712\pi\)
0.576134 + 0.817355i \(0.304561\pi\)
\(432\) −0.808718 4.19603i −0.0389095 0.201882i
\(433\) 12.6554 + 3.71597i 0.608182 + 0.178578i 0.571300 0.820741i \(-0.306439\pi\)
0.0368818 + 0.999320i \(0.488257\pi\)
\(434\) 14.9845 + 9.95714i 0.719278 + 0.477958i
\(435\) −5.59880 0.804986i −0.268442 0.0385961i
\(436\) 16.5268 + 9.54176i 0.791491 + 0.456968i
\(437\) 15.4309 12.5355i 0.738160 0.599653i
\(438\) −8.52110 14.7590i −0.407154 0.705211i
\(439\) −21.0111 + 26.7178i −1.00280 + 1.27517i −0.0416568 + 0.999132i \(0.513264\pi\)
−0.961147 + 0.276037i \(0.910979\pi\)
\(440\) 5.52012 2.52095i 0.263161 0.120182i
\(441\) −2.08601 6.68196i −0.0993339 0.318188i
\(442\) 2.40707 2.08574i 0.114493 0.0992086i
\(443\) 6.60669 27.2331i 0.313893 1.29389i −0.568231 0.822869i \(-0.692372\pi\)
0.882124 0.471016i \(-0.156113\pi\)
\(444\) 0.658740 13.8286i 0.0312624 0.656278i
\(445\) −68.1931 + 6.51165i −3.23266 + 0.308682i
\(446\) 0.864698 0.299275i 0.0409446 0.0141711i
\(447\) 0.605258 0.388976i 0.0286277 0.0183979i
\(448\) 13.7342 11.5376i 0.648881 0.545102i
\(449\) 4.25727 + 29.6099i 0.200913 + 1.39738i 0.801583 + 0.597883i \(0.203991\pi\)
−0.600670 + 0.799497i \(0.705100\pi\)
\(450\) 1.11792 + 23.4679i 0.0526990 + 1.10629i
\(451\) −38.8876 7.49496i −1.83114 0.352924i
\(452\) 1.83866 + 19.2553i 0.0864833 + 0.905694i
\(453\) 6.78814 + 13.1672i 0.318935 + 0.618647i
\(454\) 7.26592 2.13347i 0.341007 0.100129i
\(455\) −4.57856 + 4.23382i −0.214646 + 0.198485i
\(456\) 0.338134 1.15158i 0.0158346 0.0539276i
\(457\) 1.88973 19.7901i 0.0883978 0.925744i −0.837115 0.547027i \(-0.815759\pi\)
0.925513 0.378717i \(-0.123634\pi\)
\(458\) −37.0205 + 14.8208i −1.72985 + 0.692529i
\(459\) −2.45613 + 1.41805i −0.114642 + 0.0661888i
\(460\) 12.5163 + 34.3917i 0.583576 + 1.60352i
\(461\) 1.18348i 0.0551203i 0.999620 + 0.0275602i \(0.00877379\pi\)
−0.999620 + 0.0275602i \(0.991226\pi\)
\(462\) 21.2865 + 15.6544i 0.990339 + 0.728306i
\(463\) 5.01676 + 10.9852i 0.233149 + 0.510524i 0.989656 0.143461i \(-0.0458231\pi\)
−0.756507 + 0.653985i \(0.773096\pi\)
\(464\) −4.24653 + 4.04906i −0.197140 + 0.187973i
\(465\) −4.66785 + 13.4869i −0.216466 + 0.625438i
\(466\) −2.45457 2.34043i −0.113706 0.108418i
\(467\) 2.17370 1.12062i 0.100587 0.0518561i −0.407199 0.913339i \(-0.633494\pi\)
0.507786 + 0.861483i \(0.330464\pi\)
\(468\) −0.964145 0.440310i −0.0445676 0.0203534i
\(469\) 25.2854 9.67655i 1.16757 0.446822i
\(470\) 53.4916 + 83.2345i 2.46738 + 3.83932i
\(471\) −4.58454 + 11.4516i −0.211245 + 0.527664i
\(472\) 0.137966 + 0.175438i 0.00635040 + 0.00807520i
\(473\) 54.2746 + 27.9805i 2.49555 + 1.28654i
\(474\) 0.436118 + 1.26008i 0.0200315 + 0.0578773i
\(475\) −20.6134 + 45.1371i −0.945810 + 2.07103i
\(476\) −11.9303 7.13356i −0.546826 0.326966i
\(477\) −0.302809 1.03127i −0.0138647 0.0472188i
\(478\) 0.957234 0.184492i 0.0437829 0.00843846i
\(479\) 8.74152 + 36.0330i 0.399410 + 1.64639i 0.716200 + 0.697895i \(0.245880\pi\)
−0.316790 + 0.948496i \(0.602605\pi\)
\(480\) 26.2021 + 18.6584i 1.19595 + 0.851636i
\(481\) 3.36114 + 2.64323i 0.153255 + 0.120521i
\(482\) 22.0586 1.00474
\(483\) 8.30412 9.59383i 0.377851 0.436534i
\(484\) −27.5828 −1.25376
\(485\) 47.7048 + 37.5154i 2.16616 + 1.70349i
\(486\) 1.59883 + 1.13852i 0.0725245 + 0.0516444i
\(487\) 0.128131 + 0.528164i 0.00580618 + 0.0239334i 0.974641 0.223774i \(-0.0718379\pi\)
−0.968835 + 0.247708i \(0.920323\pi\)
\(488\) −1.21484 + 0.234141i −0.0549932 + 0.0105991i
\(489\) −0.272122 0.926762i −0.0123058 0.0419096i
\(490\) 49.4904 + 27.4623i 2.23575 + 1.24062i
\(491\) 17.0936 37.4297i 0.771423 1.68918i 0.0479269 0.998851i \(-0.484739\pi\)
0.723496 0.690329i \(-0.242534\pi\)
\(492\) −4.71589 13.6257i −0.212609 0.614292i
\(493\) 3.46130 + 1.78442i 0.155889 + 0.0803664i
\(494\) −2.87782 3.65944i −0.129479 0.164646i
\(495\) −7.79027 + 19.4591i −0.350146 + 0.874624i
\(496\) 8.00396 + 12.4544i 0.359388 + 0.559219i
\(497\) 3.92481 + 0.625734i 0.176052 + 0.0280680i
\(498\) −15.7250 7.18138i −0.704656 0.321806i
\(499\) −15.5736 + 8.02876i −0.697171 + 0.359417i −0.770102 0.637920i \(-0.779795\pi\)
0.0729315 + 0.997337i \(0.476765\pi\)
\(500\) −38.4958 36.7057i −1.72158 1.64153i
\(501\) −3.33921 + 9.64801i −0.149185 + 0.431041i
\(502\) 0.185342 0.176723i 0.00827220 0.00788752i
\(503\) −9.15351 20.0434i −0.408135 0.893690i −0.996380 0.0850079i \(-0.972908\pi\)
0.588246 0.808682i \(-0.299819\pi\)
\(504\) 0.0844708 0.761327i 0.00376263 0.0339122i
\(505\) 6.01954i 0.267866i
\(506\) −3.79724 + 47.7450i −0.168808 + 2.12252i
\(507\) −10.9748 + 6.33631i −0.487409 + 0.281406i
\(508\) 27.4925 11.0064i 1.21978 0.488328i
\(509\) −1.57898 + 16.5359i −0.0699872 + 0.732940i 0.890568 + 0.454850i \(0.150307\pi\)
−0.960555 + 0.278089i \(0.910299\pi\)
\(510\) 6.46056 22.0027i 0.286079 0.974294i
\(511\) −5.07372 22.4050i −0.224448 0.991137i
\(512\) 29.6415 8.70353i 1.30998 0.384646i
\(513\) 1.89956 + 3.68463i 0.0838675 + 0.162680i
\(514\) −1.84393 19.3105i −0.0813321 0.851748i
\(515\) −26.8481 5.17454i −1.18307 0.228018i
\(516\) 1.05782 + 22.2064i 0.0465680 + 0.977582i
\(517\) 8.86087 + 61.6287i 0.389700 + 2.71043i
\(518\) 13.2529 36.4762i 0.582298 1.60267i
\(519\) 7.20625 4.63118i 0.316319 0.203286i
\(520\) −0.644871 + 0.223192i −0.0282795 + 0.00978761i
\(521\) −10.3661 + 0.989840i −0.454146 + 0.0433657i −0.319623 0.947545i \(-0.603556\pi\)
−0.134523 + 0.990910i \(0.542950\pi\)
\(522\) 0.128236 2.69200i 0.00561273 0.117826i
\(523\) −1.11625 + 4.60125i −0.0488103 + 0.201199i −0.990996 0.133893i \(-0.957252\pi\)
0.942185 + 0.335092i \(0.108767\pi\)
\(524\) −8.53265 + 7.39358i −0.372751 + 0.322990i
\(525\) −7.93644 + 30.6592i −0.346375 + 1.33808i
\(526\) −26.2815 + 12.0024i −1.14593 + 0.523329i
\(527\) 6.07377 7.72343i 0.264578 0.336438i
\(528\) 10.8715 + 18.8300i 0.473123 + 0.819472i
\(529\) 22.7109 + 3.63547i 0.987429 + 0.158064i
\(530\) 7.52619 + 4.34525i 0.326917 + 0.188746i
\(531\) −0.763045 0.109709i −0.0331133 0.00476098i
\(532\) −11.2449 + 16.9224i −0.487528 + 0.733680i
\(533\) 4.27297 + 1.25466i 0.185083 + 0.0543453i
\(534\) −6.17702 32.0494i −0.267306 1.38692i
\(535\) 11.0141 11.5512i 0.476180 0.499403i
\(536\) 2.95928 + 0.140968i 0.127821 + 0.00608888i
\(537\) 12.7255 9.06178i 0.549145 0.391045i
\(538\) 20.4489 + 17.7191i 0.881617 + 0.763925i
\(539\) 21.1502 + 28.6576i 0.911004 + 1.23437i
\(540\) −7.55362 + 1.08605i −0.325056 + 0.0467360i
\(541\) −5.60291 2.24307i −0.240888 0.0964369i 0.248077 0.968740i \(-0.420201\pi\)
−0.488965 + 0.872303i \(0.662626\pi\)
\(542\) −7.34808 + 14.2533i −0.315627 + 0.612231i
\(543\) −2.79626 + 14.5084i −0.119999 + 0.622614i
\(544\) −12.8456 18.0391i −0.550750 0.773420i
\(545\) −22.9431 + 35.7002i −0.982774 + 1.52923i
\(546\) −2.21549 1.97989i −0.0948143 0.0847313i
\(547\) −23.2670 26.8515i −0.994824 1.14809i −0.988972 0.148106i \(-0.952682\pi\)
−0.00585269 0.999983i \(-0.501863\pi\)
\(548\) 8.59328 + 9.01237i 0.367087 + 0.384989i
\(549\) 2.47874 3.48090i 0.105790 0.148561i
\(550\) −44.4301 110.981i −1.89451 4.73225i
\(551\) 2.84603 4.92946i 0.121245 0.210002i
\(552\) 1.25372 0.596727i 0.0533620 0.0253984i
\(553\) 0.0580450 + 1.79646i 0.00246833 + 0.0763931i
\(554\) 0.720437 5.01075i 0.0306084 0.212886i
\(555\) 30.6468 + 2.92642i 1.30089 + 0.124219i
\(556\) 27.8895 6.76591i 1.18278 0.286939i
\(557\) −19.4930 6.74660i −0.825946 0.285863i −0.118789 0.992919i \(-0.537901\pi\)
−0.707157 + 0.707057i \(0.750023\pi\)
\(558\) −6.60831 1.60316i −0.279752 0.0678671i
\(559\) −5.77643 3.71229i −0.244317 0.157013i
\(560\) 28.2270 + 37.0463i 1.19281 + 1.56549i
\(561\) 9.45000 10.9059i 0.398979 0.460447i
\(562\) 10.8656 0.517594i 0.458339 0.0218334i
\(563\) 25.8604 20.3369i 1.08989 0.857097i 0.0994476 0.995043i \(-0.468292\pi\)
0.990440 + 0.137946i \(0.0440500\pi\)
\(564\) −17.8186 + 14.0127i −0.750297 + 0.590040i
\(565\) −42.9649 + 2.04667i −1.80755 + 0.0861041i
\(566\) 15.6741 18.0889i 0.658834 0.760334i
\(567\) 1.60348 + 2.10448i 0.0673400 + 0.0883799i
\(568\) 0.365869 + 0.235130i 0.0153515 + 0.00986583i
\(569\) −0.0895508 0.0217248i −0.00375417 0.000910751i 0.233881 0.972265i \(-0.424857\pi\)
−0.237636 + 0.971354i \(0.576372\pi\)
\(570\) −31.6750 10.9628i −1.32672 0.459183i
\(571\) 34.6790 8.41303i 1.45127 0.352074i 0.568813 0.822467i \(-0.307403\pi\)
0.882457 + 0.470392i \(0.155888\pi\)
\(572\) 5.36868 + 0.512647i 0.224476 + 0.0214349i
\(573\) 0.912598 6.34726i 0.0381243 0.265161i
\(574\) −1.30530 40.3982i −0.0544822 1.68619i
\(575\) −54.8180 + 17.0434i −2.28607 + 0.710758i
\(576\) −3.38983 + 5.87135i −0.141243 + 0.244640i
\(577\) −12.5655 31.3871i −0.523108 1.30666i −0.921119 0.389281i \(-0.872724\pi\)
0.398011 0.917381i \(-0.369701\pi\)
\(578\) 10.1972 14.3200i 0.424150 0.595635i
\(579\) 5.05661 + 5.30322i 0.210145 + 0.220394i
\(580\) 6.86190 + 7.91905i 0.284925 + 0.328821i
\(581\) −17.3754 15.5276i −0.720852 0.644193i
\(582\) −15.6332 + 24.3257i −0.648017 + 1.00833i
\(583\) 3.17223 + 4.45478i 0.131380 + 0.184498i
\(584\) 0.475743 2.46839i 0.0196864 0.102143i
\(585\) 1.08004 2.09499i 0.0446543 0.0866173i
\(586\) −24.8388 9.94396i −1.02608 0.410781i
\(587\) 11.3214 1.62777i 0.467284 0.0671853i 0.0953487 0.995444i \(-0.469603\pi\)
0.371935 + 0.928259i \(0.378694\pi\)
\(588\) −5.18559 + 11.8855i −0.213850 + 0.490149i
\(589\) −10.8539 9.40500i −0.447229 0.387526i
\(590\) 5.07735 3.61557i 0.209031 0.148850i
\(591\) 13.0664 + 0.622430i 0.537480 + 0.0256033i
\(592\) 22.0380 23.1128i 0.905756 0.949930i
\(593\) 0.113549 + 0.589146i 0.00466288 + 0.0241933i 0.984186 0.177140i \(-0.0566846\pi\)
−0.979523 + 0.201334i \(0.935472\pi\)
\(594\) −9.58241 2.81365i −0.393171 0.115445i
\(595\) 17.1076 25.7452i 0.701342 1.05545i
\(596\) −1.31925 0.189680i −0.0540386 0.00776958i
\(597\) −9.12201 5.26660i −0.373339 0.215547i
\(598\) 0.935411 5.30400i 0.0382518 0.216897i
\(599\) −5.87085 10.1686i −0.239876 0.415478i 0.720802 0.693141i \(-0.243774\pi\)
−0.960679 + 0.277663i \(0.910440\pi\)
\(600\) −2.14228 + 2.72412i −0.0874580 + 0.111212i
\(601\) −21.8608 + 9.98349i −0.891720 + 0.407235i −0.807951 0.589250i \(-0.799423\pi\)
−0.0837694 + 0.996485i \(0.526696\pi\)
\(602\) −15.6176 + 60.3322i −0.636525 + 2.45896i
\(603\) −7.73351 + 6.70112i −0.314933 + 0.272891i
\(604\) 6.46987 26.6692i 0.263255 1.08515i
\(605\) 2.91853 61.2675i 0.118655 2.49088i
\(606\) 2.85510 0.272629i 0.115981 0.0110748i
\(607\) −24.6371 + 8.52697i −0.999988 + 0.346099i −0.777532 0.628844i \(-0.783529\pi\)
−0.222456 + 0.974943i \(0.571407\pi\)
\(608\) −27.2309 + 17.5002i −1.10436 + 0.709728i
\(609\) 1.24057 3.41445i 0.0502704 0.138361i
\(610\) 4.91725 + 34.2003i 0.199094 + 1.38473i
\(611\) −0.333139 6.99345i −0.0134774 0.282925i
\(612\) 5.15891 + 0.994298i 0.208536 + 0.0401921i
\(613\) 0.854670 + 8.95051i 0.0345198 + 0.361508i 0.996184 + 0.0872780i \(0.0278168\pi\)
−0.961664 + 0.274230i \(0.911577\pi\)
\(614\) 5.69149 + 11.0399i 0.229690 + 0.445536i
\(615\) 30.7646 9.03332i 1.24055 0.364258i
\(616\) 0.860821 + 3.80129i 0.0346835 + 0.153158i
\(617\) 8.07217 27.4913i 0.324973 1.10676i −0.621349 0.783534i \(-0.713415\pi\)
0.946323 0.323223i \(-0.104767\pi\)
\(618\) 1.23835 12.9686i 0.0498136 0.521672i
\(619\) −31.1546 + 12.4724i −1.25221 + 0.501308i −0.900522 0.434810i \(-0.856815\pi\)
−0.351685 + 0.936118i \(0.614391\pi\)
\(620\) 22.8964 13.2192i 0.919540 0.530897i
\(621\) −1.71171 + 4.47996i −0.0686885 + 0.179775i
\(622\) 12.4238i 0.498148i
\(623\) 4.85173 43.7282i 0.194381 1.75193i
\(624\) −1.01569 2.22405i −0.0406601 0.0890332i
\(625\) 42.2891 40.3226i 1.69157 1.61290i
\(626\) 9.25042 26.7273i 0.369721 1.06824i
\(627\) −15.2656 14.5557i −0.609649 0.581299i
\(628\) 20.3107 10.4709i 0.810487 0.417835i
\(629\) −19.2798 8.80477i −0.768734 0.351069i
\(630\) −21.1257 3.36808i −0.841668 0.134188i
\(631\) −9.42410 14.6642i −0.375168 0.583772i 0.601409 0.798941i \(-0.294606\pi\)
−0.976577 + 0.215169i \(0.930970\pi\)
\(632\) −0.0731008 + 0.182597i −0.00290779 + 0.00726332i
\(633\) 12.0850 + 15.3673i 0.480335 + 0.610796i
\(634\) 1.21228 + 0.624973i 0.0481457 + 0.0248208i
\(635\) 21.5386 + 62.2317i 0.854733 + 2.46959i
\(636\) −0.827125 + 1.81115i −0.0327977 + 0.0718168i
\(637\) −2.06124 3.43401i −0.0816694 0.136061i
\(638\) 3.86337 + 13.1574i 0.152952 + 0.520908i
\(639\) −1.47503 + 0.284288i −0.0583512 + 0.0112463i
\(640\) 2.24334 + 9.24719i 0.0886760 + 0.365527i
\(641\) −5.53723 3.94304i −0.218707 0.155741i 0.465453 0.885073i \(-0.345892\pi\)
−0.684160 + 0.729332i \(0.739831\pi\)
\(642\) 5.97764 + 4.70087i 0.235919 + 0.185529i
\(643\) 43.1190 1.70045 0.850223 0.526422i \(-0.176467\pi\)
0.850223 + 0.526422i \(0.176467\pi\)
\(644\) −23.2645 + 3.35763i −0.916749 + 0.132309i
\(645\) −49.4373 −1.94659
\(646\) 18.1391 + 14.2648i 0.713674 + 0.561239i
\(647\) 34.1724 + 24.3341i 1.34346 + 0.956671i 0.999846 + 0.0175594i \(0.00558962\pi\)
0.343611 + 0.939112i \(0.388350\pi\)
\(648\) 0.0682570 + 0.281359i 0.00268139 + 0.0110528i
\(649\) 3.85155 0.742325i 0.151186 0.0291388i
\(650\) 3.78725 + 12.8982i 0.148548 + 0.505908i
\(651\) −7.86706 4.70398i −0.308334 0.184364i
\(652\) −0.743303 + 1.62761i −0.0291100 + 0.0637420i
\(653\) −8.71858 25.1907i −0.341184 0.985787i −0.976869 0.213838i \(-0.931403\pi\)
0.635685 0.771949i \(-0.280718\pi\)
\(654\) −17.9719 9.26516i −0.702757 0.362296i
\(655\) −15.5200 19.7352i −0.606415 0.771120i
\(656\) 12.3616 30.8779i 0.482641 1.20558i
\(657\) 4.69422 + 7.30435i 0.183139 + 0.284970i
\(658\) −59.3479 + 22.7121i −2.31362 + 0.885409i
\(659\) −20.1558 9.20486i −0.785159 0.358570i −0.0178445 0.999841i \(-0.505680\pi\)
−0.767315 + 0.641270i \(0.778408\pi\)
\(660\) 34.5129 17.7927i 1.34341 0.692578i
\(661\) 2.95762 + 2.82008i 0.115038 + 0.109688i 0.745415 0.666601i \(-0.232251\pi\)
−0.630377 + 0.776289i \(0.717100\pi\)
\(662\) −11.6765 + 33.7371i −0.453821 + 1.31123i
\(663\) −1.17441 + 1.11980i −0.0456103 + 0.0434893i
\(664\) −1.05929 2.31953i −0.0411086 0.0900152i
\(665\) −36.3987 26.7680i −1.41148 1.03802i
\(666\) 14.6685i 0.568393i
\(667\) 6.44553 1.34846i 0.249572 0.0522127i
\(668\) 16.3792 9.45655i 0.633731 0.365885i
\(669\) −0.432794 + 0.173265i −0.0167328 + 0.00669879i
\(670\) 7.86486 82.3645i 0.303846 3.18202i
\(671\) −6.12575 + 20.8624i −0.236482 + 0.805383i
\(672\) −15.1681 + 14.0260i −0.585121 + 0.541064i
\(673\) 33.7194 9.90091i 1.29979 0.381652i 0.442629 0.896705i \(-0.354046\pi\)
0.857158 + 0.515053i \(0.172228\pi\)
\(674\) 5.25883 + 10.2007i 0.202563 + 0.392917i
\(675\) −1.13783 11.9158i −0.0437949 0.458641i
\(676\) 23.0517 + 4.44286i 0.886605 + 0.170879i
\(677\) −0.130757 2.74492i −0.00502539 0.105496i −0.999986 0.00523241i \(-0.998334\pi\)
0.994961 0.100263i \(-0.0319686\pi\)
\(678\) −2.91666 20.2858i −0.112014 0.779072i
\(679\) −29.8445 + 25.0713i −1.14533 + 0.962150i
\(680\) 2.84556 1.82873i 0.109122 0.0701287i
\(681\) −3.64594 + 1.26187i −0.139713 + 0.0483551i
\(682\) 34.4429 3.28890i 1.31889 0.125938i
\(683\) −0.822357 + 17.2634i −0.0314666 + 0.660566i 0.926949 + 0.375188i \(0.122422\pi\)
−0.958415 + 0.285377i \(0.907881\pi\)
\(684\) 1.81050 7.46296i 0.0692260 0.285354i
\(685\) −20.9278 + 18.1340i −0.799608 + 0.692865i
\(686\) −23.7582 + 27.5128i −0.907093 + 1.05044i
\(687\) 18.4806 8.43982i 0.705080 0.321999i
\(688\) −31.7009 + 40.3110i −1.20859 + 1.53684i
\(689\) −0.307484 0.532577i −0.0117142 0.0202896i
\(690\) −14.9803 35.7668i −0.570289 1.36162i
\(691\) 29.4333 + 16.9933i 1.11970 + 0.646457i 0.941323 0.337507i \(-0.109583\pi\)
0.178372 + 0.983963i \(0.442917\pi\)
\(692\) −15.7071 2.25834i −0.597095 0.0858493i
\(693\) −11.2123 7.45055i −0.425921 0.283023i
\(694\) 60.5216 + 17.7707i 2.29737 + 0.674568i
\(695\) 12.0776 + 62.6647i 0.458130 + 2.37701i
\(696\) 0.274331 0.287710i 0.0103985 0.0109056i
\(697\) −22.0494 1.05034i −0.835182 0.0397846i
\(698\) −37.0007 + 26.3480i −1.40050 + 0.997288i
\(699\) 1.30588 + 1.13155i 0.0493930 + 0.0427993i
\(700\) 48.3047 33.2957i 1.82575 1.25846i
\(701\) −35.3794 + 5.08679i −1.33626 + 0.192125i −0.773133 0.634244i \(-0.781312\pi\)
−0.563129 + 0.826369i \(0.690402\pi\)
\(702\) 1.04258 + 0.417388i 0.0393498 + 0.0157533i
\(703\) −14.1960 + 27.5365i −0.535414 + 1.03856i
\(704\) 6.52842 33.8727i 0.246049 1.27662i
\(705\) −29.2399 41.0617i −1.10124 1.54647i
\(706\) −4.20685 + 6.54598i −0.158327 + 0.246361i
\(707\) 3.78457 + 0.789655i 0.142334 + 0.0296980i
\(708\) 0.935188 + 1.07926i 0.0351465 + 0.0405612i
\(709\) −36.6432 38.4303i −1.37616 1.44328i −0.743105 0.669175i \(-0.766648\pi\)
−0.633058 0.774104i \(-0.718201\pi\)
\(710\) 7.04536 9.89382i 0.264408 0.371309i
\(711\) −0.252489 0.630688i −0.00946909 0.0236527i
\(712\) 2.40724 4.16945i 0.0902150 0.156257i
\(713\) −0.263089 16.6129i −0.00985277 0.622160i
\(714\) 12.9859 + 6.94821i 0.485985 + 0.260030i
\(715\) −1.70676 + 11.8708i −0.0638294 + 0.443943i
\(716\) −28.8090 2.75093i −1.07664 0.102807i
\(717\) −0.482669 + 0.117094i −0.0180256 + 0.00437296i
\(718\) −20.7719 7.18923i −0.775201 0.268300i
\(719\) 29.1954 + 7.08272i 1.08880 + 0.264141i 0.739695 0.672942i \(-0.234970\pi\)
0.349108 + 0.937083i \(0.386485\pi\)
\(720\) −14.8090 9.51720i −0.551901 0.354685i
\(721\) 6.77530 16.2010i 0.252325 0.603356i
\(722\) −2.33314 + 2.69259i −0.0868306 + 0.100208i
\(723\) −11.2257 + 0.534747i −0.417489 + 0.0198874i
\(724\) 21.5153 16.9198i 0.799610 0.628821i
\(725\) −12.9195 + 10.1600i −0.479817 + 0.377332i
\(726\) 29.1917 1.39057i 1.08341 0.0516090i
\(727\) 17.3372 20.0082i 0.643003 0.742065i −0.336900 0.941540i \(-0.609378\pi\)
0.979903 + 0.199476i \(0.0639239\pi\)
\(728\) −0.0557287 0.434719i −0.00206544 0.0161117i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) −68.2259 16.5514i −2.52515 0.612596i
\(731\) 32.1637 + 11.1320i 1.18962 + 0.411731i
\(732\) −7.69306 + 1.86632i −0.284344 + 0.0689810i
\(733\) −4.35567 0.415916i −0.160880 0.0153622i 0.0143050 0.999898i \(-0.495446\pi\)
−0.175185 + 0.984535i \(0.556052\pi\)
\(734\) −0.708421 + 4.92718i −0.0261483 + 0.181865i
\(735\) −25.8516 12.7760i −0.953552 0.471249i
\(736\) −36.0934 9.97999i −1.33042 0.367867i
\(737\) 26.0334 45.0912i 0.958952 1.66095i
\(738\) 5.67791 + 14.1827i 0.209007 + 0.522073i
\(739\) 15.9727 22.4305i 0.587566 0.825121i −0.408590 0.912718i \(-0.633979\pi\)
0.996156 + 0.0875972i \(0.0279188\pi\)
\(740\) −39.3561 41.2755i −1.44676 1.51732i
\(741\) 1.55325 + 1.79255i 0.0570600 + 0.0658508i
\(742\) −3.71923 + 4.16181i −0.136537 + 0.152785i
\(743\) 2.27642 3.54217i 0.0835136 0.129950i −0.796984 0.604001i \(-0.793572\pi\)
0.880497 + 0.474051i \(0.157209\pi\)
\(744\) −0.581818 0.817049i −0.0213305 0.0299545i
\(745\) 0.560911 2.91028i 0.0205502 0.106625i
\(746\) 14.2130 27.5693i 0.520374 1.00939i
\(747\) 8.17664 + 3.27343i 0.299168 + 0.119769i
\(748\) −26.4604 + 3.80443i −0.967489 + 0.139104i
\(749\) 5.81758 + 8.44002i 0.212570 + 0.308392i
\(750\) 42.5918 + 36.9060i 1.55523 + 1.34762i
\(751\) 43.1308 30.7133i 1.57386 1.12074i 0.637099 0.770782i \(-0.280134\pi\)
0.936764 0.349962i \(-0.113805\pi\)
\(752\) −52.2312 2.48808i −1.90468 0.0907310i
\(753\) −0.0900371 + 0.0944282i −0.00328113 + 0.00344116i
\(754\) −0.291827 1.51414i −0.0106277 0.0551419i
\(755\) 58.5537 + 17.1929i 2.13099 + 0.625714i
\(756\) 0.308086 4.89155i 0.0112050 0.177904i
\(757\) 44.0006 + 6.32633i 1.59923 + 0.229934i 0.883496 0.468439i \(-0.155183\pi\)
0.715734 + 0.698373i \(0.246093\pi\)
\(758\) −49.8190 28.7630i −1.80951 1.04472i
\(759\) 0.774996 24.3897i 0.0281306 0.885291i
\(760\) −2.47208 4.28177i −0.0896719 0.155316i
\(761\) 22.6666 28.8230i 0.821665 1.04483i −0.176501 0.984300i \(-0.556478\pi\)
0.998166 0.0605314i \(-0.0192795\pi\)
\(762\) −28.5414 + 13.0344i −1.03394 + 0.472186i
\(763\) −19.4355 19.1079i −0.703613 0.691752i
\(764\) −8.97768 + 7.77921i −0.324801 + 0.281442i
\(765\) −2.75442 + 11.3539i −0.0995864 + 0.410501i
\(766\) −1.20451 + 25.2857i −0.0435205 + 0.913609i
\(767\) −0.439078 + 0.0419269i −0.0158542 + 0.00151389i
\(768\) −17.0979 + 5.91766i −0.616969 + 0.213535i
\(769\) 8.67382 5.57433i 0.312786 0.201015i −0.374823 0.927096i \(-0.622297\pi\)
0.687609 + 0.726081i \(0.258660\pi\)
\(770\) 107.184 18.9621i 3.86266 0.683347i
\(771\) 1.40651 + 9.78249i 0.0506542 + 0.352308i
\(772\) −0.645891 13.5589i −0.0232461 0.487996i
\(773\) −36.2929 6.99489i −1.30537