Properties

Label 483.2.bf.a.388.27
Level $483$
Weight $2$
Character 483.388
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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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 388.27
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.27

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

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

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 0.100388 0.994948i \(-0.467992\pi\)
0.990570 + 0.137010i \(0.0437492\pi\)
\(3\) −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 −0.830834 0.556520i \(-0.812136\pi\)
−0.978157 + 0.207866i \(0.933348\pi\)
\(6\) −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 0.0301297 + 0.999546i \(0.490408\pi\)
−0.978474 + 0.206371i \(0.933834\pi\)
\(12\) 0.688503 + 1.71980i 0.198754 + 0.496462i
\(13\) 0.309335 0.481334i 0.0857940 0.133498i −0.795704 0.605685i \(-0.792899\pi\)
0.881498 + 0.472187i \(0.156535\pi\)
\(14\) 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 −0.896893 0.442247i \(-0.854182\pi\)
0.399070 + 0.916920i \(0.369333\pi\)
\(18\) −0.641962 1.85483i −0.151312 0.437187i
\(19\) −3.00021 2.86069i −0.688295 0.656288i 0.262920 0.964818i \(-0.415315\pi\)
−0.951215 + 0.308530i \(0.900163\pi\)
\(20\) −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 0.157110 0.987581i \(-0.449782\pi\)
−0.401757 + 0.915746i \(0.631600\pi\)
\(30\) 3.70504 7.18677i 0.676445 1.31212i
\(31\) 0.329319 3.44879i 0.0591475 0.619420i −0.916494 0.400049i \(-0.868993\pi\)
0.975641 0.219372i \(-0.0704007\pi\)
\(32\) 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 0.838598 0.544751i \(-0.183376\pi\)
0.322440 + 0.946590i \(0.395497\pi\)
\(38\) −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 0.979358 0.202133i \(-0.0647874\pi\)
−0.0606985 + 0.998156i \(0.519333\pi\)
\(42\) −5.00447 1.38664i −0.772206 0.213963i
\(43\) −10.9164 4.98535i −1.66473 0.760258i −0.999912 0.0132556i \(-0.995780\pi\)
−0.664821 0.747003i \(-0.731492\pi\)
\(44\) 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 −0.547315 + 0.836927i \(0.684350\pi\)
−0.998457 + 0.0555257i \(0.982317\pi\)
\(48\) −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 −0.121187 0.992630i \(-0.538670\pi\)
−0.0262826 + 0.999655i \(0.508367\pi\)
\(54\) 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 0.864722 0.502252i \(-0.167495\pi\)
−0.910710 + 0.413047i \(0.864465\pi\)
\(60\) −1.44423 7.49339i −0.186450 0.967393i
\(61\) −2.47874 + 3.48090i −0.317370 + 0.445684i −0.942187 0.335088i \(-0.891234\pi\)
0.624817 + 0.780771i \(0.285174\pi\)
\(62\) −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 −0.492336 0.870405i \(-0.663857\pi\)
0.956969 0.290192i \(-0.0937190\pi\)
\(68\) 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 0.973196 0.229979i \(-0.0738656\pi\)
−0.998567 + 0.0535181i \(0.982957\pi\)
\(72\) 0.288209 0.0275207i 0.0339658 0.00324334i
\(73\) 8.43795 + 2.04702i 0.987587 + 0.239586i 0.696850 0.717217i \(-0.254584\pi\)
0.290737 + 0.956803i \(0.406100\pi\)
\(74\) 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 0.00937394 0.999956i \(-0.497016\pi\)
−0.0857204 + 0.996319i \(0.527319\pi\)
\(80\) −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 0.978137 0.207961i \(-0.0666828\pi\)
−0.345048 + 0.938585i \(0.612137\pi\)
\(84\) −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 0.832439 0.554116i \(-0.186944\pi\)
0.922263 + 0.386562i \(0.126338\pi\)
\(90\) 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 0.0118820 + 0.999929i \(0.496218\pi\)
−0.991443 + 0.130544i \(0.958328\pi\)
\(98\) −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 0.965572 0.260136i \(-0.0837674\pi\)
−0.993089 + 0.117365i \(0.962555\pi\)
\(102\) −2.55077 4.94781i −0.252564 0.489906i
\(103\) 6.16186 2.46684i 0.607146 0.243065i −0.0476576 0.998864i \(-0.515176\pi\)
0.654804 + 0.755799i \(0.272751\pi\)
\(104\) 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 0.417242 0.908795i \(-0.362997\pi\)
−0.722346 + 0.691532i \(0.756936\pi\)
\(108\) 1.85040 0.0881452i 0.178054 0.00848178i
\(109\) 7.10887 + 7.45557i 0.680906 + 0.714114i 0.969978 0.243194i \(-0.0781950\pi\)
−0.289072 + 0.957307i \(0.593347\pi\)
\(110\) 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 0.362161 0.932115i \(-0.382039\pi\)
0.610099 + 0.792326i \(0.291130\pi\)
\(114\) 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 0.596832 + 0.802366i \(0.296426\pi\)
−0.798709 + 0.601717i \(0.794483\pi\)
\(128\) −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 −0.734752 0.678336i \(-0.762701\pi\)
0.978754 + 0.205038i \(0.0657317\pi\)
\(132\) −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 0.727624 0.685976i \(-0.240625\pi\)
−0.230261 + 0.973129i \(0.573958\pi\)
\(138\) 1.92758 9.21367i 0.164087 0.784320i
\(139\) 15.4918i 1.31400i 0.753893 + 0.656998i \(0.228174\pi\)
−0.753893 + 0.656998i \(0.771826\pi\)
\(140\) −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 0.917012 0.398861i \(-0.130594\pi\)
−0.938918 + 0.344141i \(0.888170\pi\)
\(150\) −14.5234 + 18.4680i −1.18583 + 1.50790i
\(151\) −13.1672 + 6.78814i −1.07153 + 0.552411i −0.901390 0.433009i \(-0.857452\pi\)
−0.170139 + 0.985420i \(0.554422\pi\)
\(152\) 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 0.729881 + 0.683574i \(0.239575\pi\)
−0.961976 + 0.273134i \(0.911940\pi\)
\(158\) −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 −0.587982 0.808874i \(-0.700078\pi\)
0.647451 + 0.762107i \(0.275835\pi\)
\(164\) 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 0.770171 + 0.637838i \(0.220171\pi\)
−0.992750 + 0.120197i \(0.961647\pi\)
\(168\) 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 0.756742 0.653713i \(-0.226790\pi\)
−0.998794 + 0.0490974i \(0.984366\pi\)
\(174\) 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 −0.958176 0.286181i \(-0.907614\pi\)
0.576271 0.817258i \(-0.304507\pi\)
\(180\) 5.52303 + 5.26620i 0.411662 + 0.392519i
\(181\) −6.13792 + 13.4402i −0.456228 + 0.999000i 0.532103 + 0.846679i \(0.321402\pi\)
−0.988331 + 0.152320i \(0.951326\pi\)
\(182\) 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 −0.758278 0.651932i \(-0.773959\pi\)
0.970892 + 0.239517i \(0.0769891\pi\)
\(192\) −0.644447 + 6.74895i −0.0465089 + 0.487064i
\(193\) −7.19516 + 1.38675i −0.517919 + 0.0998207i −0.441511 0.897256i \(-0.645557\pi\)
−0.0764082 + 0.997077i \(0.524345\pi\)
\(194\) −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 0.0863271 0.996267i \(-0.472487\pi\)
−0.870375 + 0.492390i \(0.836123\pi\)
\(198\) 9.43768 + 3.26641i 0.670707 + 0.232134i
\(199\) 10.4855 + 1.00124i 0.743297 + 0.0709763i 0.459832 0.888006i \(-0.347910\pi\)
0.283466 + 0.958982i \(0.408516\pi\)
\(200\) 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 −0.854076 0.520147i \(-0.825877\pi\)
−0.437282 + 0.899325i \(0.644059\pi\)
\(212\) −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 0.849590 0.527444i \(-0.176849\pi\)
−0.832712 + 0.553706i \(0.813213\pi\)
\(224\) 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 0.882140 0.470987i \(-0.156102\pi\)
−0.733603 + 0.679578i \(0.762163\pi\)
\(228\) 2.85416 7.12934i 0.189021 0.472152i
\(229\) −10.1583 17.5947i −0.671279 1.16269i −0.977542 0.210742i \(-0.932412\pi\)
0.306263 0.951947i \(-0.400921\pi\)
\(230\) 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 −0.151248 0.988496i \(-0.548329\pi\)
0.0385597 + 0.999256i \(0.487723\pi\)
\(234\) −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 0.766171 0.642636i \(-0.222159\pi\)
−0.745133 + 0.666916i \(0.767614\pi\)
\(240\) 17.5836 + 0.837610i 1.13502 + 0.0540675i
\(241\) 8.83402 + 6.94715i 0.569049 + 0.447505i 0.860767 0.508999i \(-0.169984\pi\)
−0.291718 + 0.956504i \(0.594227\pi\)
\(242\) −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 0.990399 0.138238i \(-0.0441438\pi\)
−0.989227 + 0.146389i \(0.953235\pi\)
\(252\) 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 −0.901207 0.433390i \(-0.857317\pi\)
0.475780 + 0.879564i \(0.342166\pi\)
\(258\) 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 0.584062 0.811709i \(-0.301463\pi\)
−0.999988 + 0.00492486i \(0.998432\pi\)
\(264\) 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 0.376606 0.926374i \(-0.377091\pi\)
0.462958 + 0.886380i \(0.346788\pi\)
\(270\) −5.57971 5.85183i −0.339570 0.356131i
\(271\) 1.54618 8.02237i 0.0939240 0.487324i −0.904254 0.426994i \(-0.859573\pi\)
0.998178 0.0603301i \(-0.0192153\pi\)
\(272\) −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 −0.902163 0.431395i \(-0.858022\pi\)
0.824681 + 0.565599i \(0.191355\pi\)
\(278\) 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 0.770782 0.637098i \(-0.219866\pi\)
−0.520920 + 0.853606i \(0.674411\pi\)
\(282\) −5.66243 23.3409i −0.337193 1.38993i
\(283\) 0.580238 + 12.1807i 0.0344915 + 0.724067i 0.948196 + 0.317687i \(0.102906\pi\)
−0.913704 + 0.406380i \(0.866791\pi\)
\(284\) −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 −0.123612 0.992331i \(-0.539448\pi\)
−0.640483 + 0.767972i \(0.721266\pi\)
\(294\) 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 −0.244322 0.969694i \(-0.578565\pi\)
0.572849 + 0.819661i \(0.305838\pi\)
\(308\) −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 −0.884228 0.467056i \(-0.845314\pi\)
0.662355 + 0.749190i \(0.269557\pi\)
\(312\) −0.147238 + 0.0759065i −0.00833572 + 0.00429736i
\(313\) −4.71292 + 13.6171i −0.266390 + 0.769684i 0.729894 + 0.683560i \(0.239569\pi\)
−0.996284 + 0.0861237i \(0.972552\pi\)
\(314\) 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 0.208377 0.978049i \(-0.433182\pi\)
−0.170054 + 0.985435i \(0.554394\pi\)
\(318\) 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 −0.654971 0.755654i \(-0.727319\pi\)
0.981956 0.189108i \(-0.0605598\pi\)
\(332\) 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 −0.265250 0.964180i \(-0.585454\pi\)
0.554977 + 0.831866i \(0.312727\pi\)
\(338\) 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 0.988825 0.149080i \(-0.0476310\pi\)
0.612770 + 0.790261i \(0.290055\pi\)
\(348\) −0.241787 2.53211i −0.0129612 0.135735i
\(349\) −6.51994 22.2049i −0.349005 1.18860i −0.927784 0.373117i \(-0.878289\pi\)
0.578780 0.815484i \(-0.303529\pi\)
\(350\) 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 −0.979888 0.199550i \(-0.936052\pi\)
0.999945 0.0104984i \(-0.00334182\pi\)
\(354\) 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 0.0331869 0.999449i \(-0.489434\pi\)
−0.591732 + 0.806135i \(0.701556\pi\)
\(360\) −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 −0.831030 0.556228i \(-0.812248\pi\)
0.897222 + 0.441579i \(0.145582\pi\)
\(368\) −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 0.818565 + 0.574414i \(0.194770\pi\)
−0.973418 + 0.229037i \(0.926442\pi\)
\(374\) −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 −0.651387 0.758746i \(-0.725812\pi\)
−0.838764 + 0.544494i \(0.816722\pi\)
\(380\) 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 −0.577950 0.816072i \(-0.696147\pi\)
0.960218 + 0.279253i \(0.0900867\pi\)
\(384\) −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 −0.657370 0.753568i \(-0.728331\pi\)
0.995782 0.0917458i \(-0.0292447\pi\)
\(390\) −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 −0.251810 0.967777i \(-0.581026\pi\)
0.219644 + 0.975580i \(0.429511\pi\)
\(398\) 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 0.333259 0.942835i \(-0.391852\pi\)
0.242128 + 0.970244i \(0.422155\pi\)
\(402\) 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 −0.0277699 0.999614i \(-0.508841\pi\)
0.596092 + 0.802916i \(0.296719\pi\)
\(410\) −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 −0.999744 0.0226168i \(-0.992800\pi\)
0.164665 + 0.986350i \(0.447346\pi\)
\(420\) 19.7649 4.12396i 0.964427 0.201229i
\(421\) −7.94406 12.3612i −0.387170 0.602448i 0.591891 0.806018i \(-0.298382\pi\)
−0.979060 + 0.203571i \(0.934745\pi\)
\(422\) −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 0.576134 0.817355i \(-0.304561\pi\)
−0.843843 + 0.536590i \(0.819712\pi\)
\(432\) −0.808718 + 4.19603i −0.0389095 + 0.201882i
\(433\) 12.6554 3.71597i 0.608182 0.178578i 0.0368818 0.999320i \(-0.488257\pi\)
0.571300 + 0.820741i \(0.306439\pi\)
\(434\) 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 −0.961147 0.276037i \(-0.910979\pi\)
−0.0416568 0.999132i \(-0.513264\pi\)
\(440\) 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 0.882124 + 0.471016i \(0.156113\pi\)
−0.568231 + 0.822869i \(0.692372\pi\)
\(444\) 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 −0.600670 0.799497i \(-0.705100\pi\)
0.801583 0.597883i \(-0.203991\pi\)
\(450\) 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 0.925513 + 0.378717i \(0.123634\pi\)
−0.837115 + 0.547027i \(0.815759\pi\)
\(458\) −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 \(-0.991226\pi\)
0.999620 0.0275602i \(-0.00877379\pi\)
\(462\) 21.2865 15.6544i 0.990339 0.728306i
\(463\) 5.01676 10.9852i 0.233149 0.510524i −0.756507 0.653985i \(-0.773096\pi\)
0.989656 + 0.143461i \(0.0458231\pi\)
\(464\) −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 0.507786 0.861483i \(-0.330464\pi\)
−0.407199 + 0.913339i \(0.633494\pi\)
\(468\) −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 −0.316790 0.948496i \(-0.602605\pi\)
0.716200 0.697895i \(-0.245880\pi\)
\(480\) 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 −0.968835 0.247708i \(-0.920323\pi\)
0.974641 + 0.223774i \(0.0718379\pi\)
\(488\) −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 0.723496 + 0.690329i \(0.242534\pi\)
0.0479269 + 0.998851i \(0.484739\pi\)
\(492\) −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 0.0729315 0.997337i \(-0.476765\pi\)
−0.770102 + 0.637920i \(0.779795\pi\)
\(500\) −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 0.588246 + 0.808682i \(0.299819\pi\)
−0.996380 + 0.0850079i \(0.972908\pi\)
\(504\) 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 −0.960555 0.278089i \(-0.910299\pi\)
0.890568 0.454850i \(-0.150307\pi\)
\(510\) 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 −0.134523 0.990910i \(-0.542950\pi\)
−0.319623 + 0.947545i \(0.603556\pi\)
\(522\) 0.128236 + 2.69200i 0.00561273 + 0.117826i
\(523\) −1.11625 4.60125i −0.0488103 0.201199i 0.942185 0.335092i \(-0.108767\pi\)
−0.990996 + 0.133893i \(0.957252\pi\)
\(524\) −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 −0.488965 0.872303i \(-0.662626\pi\)
0.248077 + 0.968740i \(0.420201\pi\)
\(542\) −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 −0.00585269 + 0.999983i \(0.501863\pi\)
−0.988972 + 0.148106i \(0.952682\pi\)
\(548\) 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 −0.707157 0.707057i \(-0.750023\pi\)
−0.118789 + 0.992919i \(0.537901\pi\)
\(558\) −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 0.990440 0.137946i \(-0.0440500\pi\)
0.0994476 + 0.995043i \(0.468292\pi\)
\(564\) −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 −0.237636 0.971354i \(-0.576372\pi\)
0.233881 + 0.972265i \(0.424857\pi\)
\(570\) −31.6750 + 10.9628i −1.32672 + 0.459183i
\(571\) 34.6790 + 8.41303i 1.45127 + 0.352074i 0.882457 0.470392i \(-0.155888\pi\)
0.568813 + 0.822467i \(0.307403\pi\)
\(572\) 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 0.398011 + 0.917381i \(0.369701\pi\)
−0.921119 + 0.389281i \(0.872724\pi\)
\(578\) 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 0.371935 0.928259i \(-0.378694\pi\)
0.0953487 + 0.995444i \(0.469603\pi\)
\(588\) −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 −0.979523 0.201334i \(-0.935472\pi\)
0.984186 + 0.177140i \(0.0566846\pi\)
\(594\) −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 −0.960679 0.277663i \(-0.910440\pi\)
0.720802 + 0.693141i \(0.243774\pi\)
\(600\) −2.14228 2.72412i −0.0874580 0.111212i
\(601\) −21.8608 9.98349i −0.891720 0.407235i −0.0837694 0.996485i \(-0.526696\pi\)
−0.807951 + 0.589250i \(0.799423\pi\)
\(602\) −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 −0.222456 0.974943i \(-0.571407\pi\)
−0.777532 + 0.628844i \(0.783529\pi\)
\(608\) −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 −0.961664 0.274230i \(-0.911577\pi\)
0.996184 0.0872780i \(-0.0278168\pi\)
\(614\) 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 0.946323 + 0.323223i \(0.104767\pi\)
−0.621349 + 0.783534i \(0.713415\pi\)
\(618\) 1.23835 + 12.9686i 0.0498136 + 0.521672i
\(619\) −31.1546 12.4724i −1.25221 0.501308i −0.351685 0.936118i \(-0.614391\pi\)
−0.900522 + 0.434810i \(0.856815\pi\)
\(620\) 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 −0.976577 0.215169i \(-0.930970\pi\)
0.601409 + 0.798941i \(0.294606\pi\)
\(632\) −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 −0.684160 0.729332i \(-0.739831\pi\)
0.465453 + 0.885073i \(0.345892\pi\)
\(642\) 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 0.343611 0.939112i \(-0.388350\pi\)
0.999846 0.0175594i \(-0.00558962\pi\)
\(648\) 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 0.635685 + 0.771949i \(0.280718\pi\)
−0.976869 + 0.213838i \(0.931403\pi\)
\(654\) −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 −0.767315 0.641270i \(-0.778408\pi\)
−0.0178445 + 0.999841i \(0.505680\pi\)
\(660\) 34.5129 + 17.7927i 1.34341 + 0.692578i
\(661\) 2.95762 2.82008i 0.115038 0.109688i −0.630377 0.776289i \(-0.717100\pi\)
0.745415 + 0.666601i \(0.232251\pi\)
\(662\) −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 0.857158 0.515053i \(-0.172228\pi\)
0.442629 + 0.896705i \(0.354046\pi\)
\(674\) 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 0.994961 + 0.100263i \(0.0319686\pi\)
−0.999986 + 0.00523241i \(0.998334\pi\)
\(678\) −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 −0.958415 0.285377i \(-0.907881\pi\)
0.926949 0.375188i \(-0.122422\pi\)
\(684\) 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 0.178372 0.983963i \(-0.442917\pi\)
0.941323 + 0.337507i \(0.109583\pi\)
\(692\) −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 −0.563129 0.826369i \(-0.690402\pi\)
−0.773133 + 0.634244i \(0.781312\pi\)
\(702\) 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 −0.633058 + 0.774104i \(0.718201\pi\)
−0.743105 + 0.669175i \(0.766648\pi\)
\(710\) 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 0.349108 0.937083i \(-0.386485\pi\)
0.739695 + 0.672942i \(0.234970\pi\)
\(720\) −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 0.979903 0.199476i \(-0.0639239\pi\)
−0.336900 + 0.941540i \(0.609378\pi\)
\(728\) −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 −0.175185 0.984535i \(-0.556052\pi\)
0.0143050 + 0.999898i \(0.495446\pi\)
\(734\) −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 0.996156 0.0875972i \(-0.0279188\pi\)
−0.408590 + 0.912718i \(0.633979\pi\)
\(740\) −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 0.880497 0.474051i \(-0.157209\pi\)
−0.796984 + 0.604001i \(0.793572\pi\)
\(744\) −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 0.936764 + 0.349962i \(0.113805\pi\)
0.637099 + 0.770782i \(0.280134\pi\)
\(752\) −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 0.715734 0.698373i \(-0.246093\pi\)
0.883496 + 0.468439i \(0.155183\pi\)
\(758\) −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 0.998166 + 0.0605314i \(0.0192795\pi\)
−0.176501 + 0.984300i \(0.556478\pi\)
\(762\) −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 0.687609 0.726081i \(-0.258660\pi\)
−0.374823 + 0.927096i \(0.622297\pi\)
\(770\) 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 −1.3