Properties

Label 507.2.t.b.4.8
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.208145 - 0.00838797i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.95026 - 0.157441i) q^{4} +(-1.53730 - 0.583019i) q^{5} +(0.0659665 - 0.197594i) q^{6} +(-0.815402 - 1.91382i) q^{7} +(0.818208 + 0.0993485i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(-0.208145 - 0.00838797i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.95026 - 0.157441i) q^{4} +(-1.53730 - 0.583019i) q^{5} +(0.0659665 - 0.197594i) q^{6} +(-0.815402 - 1.91382i) q^{7} +(0.818208 + 0.0993485i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(0.315091 + 0.134248i) q^{10} +(1.34892 + 2.13314i) q^{11} +(0.693822 - 1.82946i) q^{12} +(1.58449 + 3.23873i) q^{13} +(0.153669 + 0.405192i) q^{14} +(0.987703 - 1.31439i) q^{15} +(3.69306 + 0.600181i) q^{16} +(5.49344 - 2.34054i) q^{17} +(0.171439 + 0.118336i) q^{18} +(-0.388136 + 0.224090i) q^{19} +(2.90633 + 1.37907i) q^{20} +(2.06512 - 0.250750i) q^{21} +(-0.262878 - 0.455318i) q^{22} +(3.86471 - 6.69388i) q^{23} +(-0.323066 + 0.758263i) q^{24} +(-1.71919 - 1.52307i) q^{25} +(-0.302638 - 0.687418i) q^{26} +(0.748511 - 0.663123i) q^{27} +(1.28893 + 3.86082i) q^{28} +(-0.198630 + 4.92895i) q^{29} +(-0.216611 + 0.265300i) q^{30} +(4.74859 + 5.36005i) q^{31} +(-2.37878 - 0.485632i) q^{32} +(-2.42421 + 0.702182i) q^{33} +(-1.16307 + 0.441093i) q^{34} +(0.137720 + 3.41750i) q^{35} +(1.56419 + 1.17542i) q^{36} +(8.46325 - 1.72779i) q^{37} +(0.0826684 - 0.0433877i) q^{38} +(-3.55169 + 0.620861i) q^{39} +(-1.19991 - 0.629759i) q^{40} +(2.43536 + 0.705409i) q^{41} +(-0.431948 + 0.0348704i) q^{42} +(-1.69076 + 8.28190i) q^{43} +(-2.29489 - 4.37256i) q^{44} +(0.987703 + 1.31439i) q^{45} +(-0.860570 + 1.36088i) q^{46} +(1.89522 - 1.30818i) q^{47} +(-1.60396 + 3.38027i) q^{48} +(1.85125 - 1.92736i) q^{49} +(0.345066 + 0.331440i) q^{50} +(0.719756 + 5.92772i) q^{51} +(-2.58026 - 6.56584i) q^{52} +(0.771182 - 6.35126i) q^{53} +(-0.161361 + 0.131747i) q^{54} +(-0.830021 - 4.06571i) q^{55} +(-0.477033 - 1.64691i) q^{56} +(-0.107257 - 0.435157i) q^{57} +(0.0826878 - 1.02427i) q^{58} +(-1.36645 - 8.40813i) q^{59} +(-2.13322 + 2.40790i) q^{60} +(-10.2850 + 7.72868i) q^{61} +(-0.943437 - 1.15550i) q^{62} +(-0.333701 + 2.05334i) q^{63} +(-6.77453 - 1.66977i) q^{64} +(-0.547589 - 5.90268i) q^{65} +(0.510479 - 0.125822i) q^{66} +(0.919668 + 11.3921i) q^{67} +(-11.0821 + 3.69976i) q^{68} +(5.35436 + 5.57448i) q^{69} -0.712492i q^{70} +(10.8092 - 10.3824i) q^{71} +(-0.638443 - 0.521273i) q^{72} +(0.199294 - 0.379723i) q^{73} +(-1.77608 + 0.288641i) q^{74} +(1.94124 - 1.22757i) q^{75} +(0.792247 - 0.375926i) q^{76} +(2.98254 - 4.32095i) q^{77} +(0.744477 - 0.0994379i) q^{78} +(-8.80074 - 12.7501i) q^{79} +(-5.32741 - 3.07578i) q^{80} +(0.428693 + 0.903450i) q^{81} +(-0.500991 - 0.167255i) q^{82} +(2.34971 - 9.53313i) q^{83} +(-4.06699 + 0.163894i) q^{84} +(-9.80961 + 0.395314i) q^{85} +(0.421393 - 1.70966i) q^{86} +(-4.67908 - 1.56211i) q^{87} +(0.891771 + 1.87937i) q^{88} +(14.7538 + 8.51808i) q^{89} +(-0.194561 - 0.281870i) q^{90} +(4.90635 - 5.67330i) q^{91} +(-8.59109 + 12.4463i) q^{92} +(-6.46956 + 3.06985i) q^{93} +(-0.405454 + 0.256394i) q^{94} +(0.727328 - 0.118202i) q^{95} +(1.12828 - 2.14975i) q^{96} +(5.01899 + 4.09788i) q^{97} +(-0.401496 + 0.385642i) q^{98} -2.52386i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.208145 0.00838797i −0.147181 0.00593119i −0.0334339 0.999441i \(-0.510644\pi\)
−0.113747 + 0.993510i \(0.536285\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) −1.95026 0.157441i −0.975130 0.0787207i
\(5\) −1.53730 0.583019i −0.687499 0.260734i −0.0139784 0.999902i \(-0.504450\pi\)
−0.673521 + 0.739168i \(0.735219\pi\)
\(6\) 0.0659665 0.197594i 0.0269307 0.0806673i
\(7\) −0.815402 1.91382i −0.308193 0.723355i −0.999999 0.00127210i \(-0.999595\pi\)
0.691806 0.722083i \(-0.256815\pi\)
\(8\) 0.818208 + 0.0993485i 0.289280 + 0.0351250i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) 0.315091 + 0.134248i 0.0996404 + 0.0424528i
\(11\) 1.34892 + 2.13314i 0.406714 + 0.643166i 0.984977 0.172684i \(-0.0552438\pi\)
−0.578264 + 0.815850i \(0.696269\pi\)
\(12\) 0.693822 1.82946i 0.200289 0.528119i
\(13\) 1.58449 + 3.23873i 0.439459 + 0.898263i
\(14\) 0.153669 + 0.405192i 0.0410698 + 0.108292i
\(15\) 0.987703 1.31439i 0.255024 0.339375i
\(16\) 3.69306 + 0.600181i 0.923266 + 0.150045i
\(17\) 5.49344 2.34054i 1.33235 0.567663i 0.395849 0.918316i \(-0.370450\pi\)
0.936506 + 0.350653i \(0.114040\pi\)
\(18\) 0.171439 + 0.118336i 0.0404086 + 0.0278921i
\(19\) −0.388136 + 0.224090i −0.0890444 + 0.0514098i −0.543861 0.839175i \(-0.683038\pi\)
0.454817 + 0.890585i \(0.349705\pi\)
\(20\) 2.90633 + 1.37907i 0.649876 + 0.308370i
\(21\) 2.06512 0.250750i 0.450645 0.0547182i
\(22\) −0.262878 0.455318i −0.0560458 0.0970742i
\(23\) 3.86471 6.69388i 0.805848 1.39577i −0.109869 0.993946i \(-0.535043\pi\)
0.915717 0.401824i \(-0.131624\pi\)
\(24\) −0.323066 + 0.758263i −0.0659455 + 0.154780i
\(25\) −1.71919 1.52307i −0.343838 0.304614i
\(26\) −0.302638 0.687418i −0.0593523 0.134814i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) 1.28893 + 3.86082i 0.243585 + 0.729627i
\(29\) −0.198630 + 4.92895i −0.0368847 + 0.915283i 0.869782 + 0.493436i \(0.164259\pi\)
−0.906667 + 0.421847i \(0.861382\pi\)
\(30\) −0.216611 + 0.265300i −0.0395476 + 0.0484370i
\(31\) 4.74859 + 5.36005i 0.852872 + 0.962693i 0.999649 0.0264763i \(-0.00842865\pi\)
−0.146778 + 0.989170i \(0.546890\pi\)
\(32\) −2.37878 0.485632i −0.420513 0.0858484i
\(33\) −2.42421 + 0.702182i −0.422001 + 0.122234i
\(34\) −1.16307 + 0.441093i −0.199464 + 0.0756468i
\(35\) 0.137720 + 3.41750i 0.0232790 + 0.577663i
\(36\) 1.56419 + 1.17542i 0.260699 + 0.195903i
\(37\) 8.46325 1.72779i 1.39135 0.284046i 0.554822 0.831969i \(-0.312786\pi\)
0.836529 + 0.547923i \(0.184581\pi\)
\(38\) 0.0826684 0.0433877i 0.0134106 0.00703841i
\(39\) −3.55169 + 0.620861i −0.568726 + 0.0994173i
\(40\) −1.19991 0.629759i −0.189722 0.0995736i
\(41\) 2.43536 + 0.705409i 0.380339 + 0.110166i 0.462879 0.886421i \(-0.346816\pi\)
−0.0825407 + 0.996588i \(0.526303\pi\)
\(42\) −0.431948 + 0.0348704i −0.0666510 + 0.00538062i
\(43\) −1.69076 + 8.28190i −0.257839 + 1.26298i 0.620221 + 0.784427i \(0.287043\pi\)
−0.878060 + 0.478551i \(0.841162\pi\)
\(44\) −2.29489 4.37256i −0.345968 0.659188i
\(45\) 0.987703 + 1.31439i 0.147238 + 0.195938i
\(46\) −0.860570 + 1.36088i −0.126884 + 0.200651i
\(47\) 1.89522 1.30818i 0.276446 0.190817i −0.421772 0.906702i \(-0.638592\pi\)
0.698218 + 0.715885i \(0.253976\pi\)
\(48\) −1.60396 + 3.38027i −0.231512 + 0.487900i
\(49\) 1.85125 1.92736i 0.264464 0.275337i
\(50\) 0.345066 + 0.331440i 0.0487997 + 0.0468727i
\(51\) 0.719756 + 5.92772i 0.100786 + 0.830047i
\(52\) −2.58026 6.56584i −0.357818 0.910518i
\(53\) 0.771182 6.35126i 0.105930 0.872413i −0.838772 0.544483i \(-0.816726\pi\)
0.944702 0.327930i \(-0.106351\pi\)
\(54\) −0.161361 + 0.131747i −0.0219585 + 0.0179286i
\(55\) −0.830021 4.06571i −0.111920 0.548221i
\(56\) −0.477033 1.64691i −0.0637463 0.220078i
\(57\) −0.107257 0.435157i −0.0142065 0.0576380i
\(58\) 0.0826878 1.02427i 0.0108574 0.134494i
\(59\) −1.36645 8.40813i −0.177897 1.09465i −0.910354 0.413831i \(-0.864190\pi\)
0.732456 0.680814i \(-0.238374\pi\)
\(60\) −2.13322 + 2.40790i −0.275397 + 0.310859i
\(61\) −10.2850 + 7.72868i −1.31686 + 0.989557i −0.317717 + 0.948186i \(0.602916\pi\)
−0.999144 + 0.0413711i \(0.986827\pi\)
\(62\) −0.943437 1.15550i −0.119817 0.146749i
\(63\) −0.333701 + 2.05334i −0.0420424 + 0.258697i
\(64\) −6.77453 1.66977i −0.846816 0.208721i
\(65\) −0.547589 5.90268i −0.0679200 0.732137i
\(66\) 0.510479 0.125822i 0.0628356 0.0154876i
\(67\) 0.919668 + 11.3921i 0.112355 + 1.39177i 0.769809 + 0.638275i \(0.220352\pi\)
−0.657453 + 0.753495i \(0.728366\pi\)
\(68\) −11.0821 + 3.69976i −1.34391 + 0.448662i
\(69\) 5.35436 + 5.57448i 0.644589 + 0.671088i
\(70\) 0.712492i 0.0851591i
\(71\) 10.8092 10.3824i 1.28282 1.23216i 0.324688 0.945821i \(-0.394741\pi\)
0.958128 0.286340i \(-0.0924386\pi\)
\(72\) −0.638443 0.521273i −0.0752412 0.0614326i
\(73\) 0.199294 0.379723i 0.0233256 0.0444432i −0.873514 0.486798i \(-0.838165\pi\)
0.896840 + 0.442355i \(0.145857\pi\)
\(74\) −1.77608 + 0.288641i −0.206465 + 0.0335539i
\(75\) 1.94124 1.22757i 0.224155 0.141747i
\(76\) 0.792247 0.375926i 0.0908769 0.0431216i
\(77\) 2.98254 4.32095i 0.339891 0.492418i
\(78\) 0.744477 0.0994379i 0.0842954 0.0112591i
\(79\) −8.80074 12.7501i −0.990161 1.43450i −0.898637 0.438693i \(-0.855442\pi\)
−0.0915237 0.995803i \(-0.529174\pi\)
\(80\) −5.32741 3.07578i −0.595623 0.343883i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) −0.500991 0.167255i −0.0553252 0.0184703i
\(83\) 2.34971 9.53313i 0.257914 1.04640i −0.688962 0.724798i \(-0.741933\pi\)
0.946876 0.321600i \(-0.104221\pi\)
\(84\) −4.06699 + 0.163894i −0.443745 + 0.0178823i
\(85\) −9.80961 + 0.395314i −1.06400 + 0.0428778i
\(86\) 0.421393 1.70966i 0.0454400 0.184357i
\(87\) −4.67908 1.56211i −0.501651 0.167476i
\(88\) 0.891771 + 1.87937i 0.0950631 + 0.200341i
\(89\) 14.7538 + 8.51808i 1.56389 + 0.902915i 0.996857 + 0.0792229i \(0.0252439\pi\)
0.567037 + 0.823692i \(0.308089\pi\)
\(90\) −0.194561 0.281870i −0.0205085 0.0297117i
\(91\) 4.90635 5.67330i 0.514325 0.594723i
\(92\) −8.59109 + 12.4463i −0.895683 + 1.29762i
\(93\) −6.46956 + 3.06985i −0.670863 + 0.318328i
\(94\) −0.405454 + 0.256394i −0.0418194 + 0.0264450i
\(95\) 0.727328 0.118202i 0.0746223 0.0121273i
\(96\) 1.12828 2.14975i 0.115154 0.219408i
\(97\) 5.01899 + 4.09788i 0.509601 + 0.416076i 0.852050 0.523460i \(-0.175359\pi\)
−0.342449 + 0.939536i \(0.611257\pi\)
\(98\) −0.401496 + 0.385642i −0.0405572 + 0.0389558i
\(99\) 2.52386i 0.253657i
\(100\) 3.11307 + 3.24105i 0.311307 + 0.324105i
\(101\) −3.05923 + 1.02132i −0.304405 + 0.101625i −0.464767 0.885433i \(-0.653862\pi\)
0.160362 + 0.987058i \(0.448734\pi\)
\(102\) −0.100092 1.23987i −0.00991062 0.122765i
\(103\) 3.59981 0.887274i 0.354700 0.0874257i −0.0579395 0.998320i \(-0.518453\pi\)
0.412640 + 0.910894i \(0.364607\pi\)
\(104\) 0.974681 + 2.80737i 0.0955753 + 0.275286i
\(105\) −3.32088 0.818525i −0.324085 0.0798798i
\(106\) −0.213792 + 1.31552i −0.0207653 + 0.127774i
\(107\) −4.30980 5.27855i −0.416644 0.510297i 0.523055 0.852299i \(-0.324792\pi\)
−0.939699 + 0.342003i \(0.888895\pi\)
\(108\) −1.56419 + 1.17542i −0.150515 + 0.113104i
\(109\) −2.00801 + 2.26657i −0.192332 + 0.217098i −0.836764 0.547563i \(-0.815555\pi\)
0.644432 + 0.764662i \(0.277094\pi\)
\(110\) 0.138662 + 0.853222i 0.0132209 + 0.0813515i
\(111\) −0.695056 + 8.60981i −0.0659718 + 0.817207i
\(112\) −1.86269 7.55724i −0.176008 0.714092i
\(113\) 1.57437 + 5.43537i 0.148105 + 0.511317i 0.999922 0.0125230i \(-0.00398629\pi\)
−0.851817 + 0.523840i \(0.824499\pi\)
\(114\) 0.0186749 + 0.0914757i 0.00174906 + 0.00856748i
\(115\) −9.84386 + 8.03726i −0.917945 + 0.749479i
\(116\) 1.16340 9.58147i 0.108019 0.889617i
\(117\) 0.391795 3.58420i 0.0362215 0.331359i
\(118\) 0.213894 + 1.76158i 0.0196905 + 0.162166i
\(119\) −8.95872 8.60496i −0.821244 0.788816i
\(120\) 0.938730 0.977321i 0.0856939 0.0892168i
\(121\) 1.98490 4.18309i 0.180446 0.380281i
\(122\) 2.20561 1.52242i 0.199686 0.137833i
\(123\) −1.35512 + 2.14295i −0.122187 + 0.193223i
\(124\) −8.41709 11.2011i −0.755877 1.00589i
\(125\) 5.57527 + 10.6228i 0.498667 + 0.950131i
\(126\) 0.0866817 0.424595i 0.00772222 0.0378259i
\(127\) 9.08458 0.733383i 0.806126 0.0650772i 0.329469 0.944167i \(-0.393130\pi\)
0.476657 + 0.879089i \(0.341848\pi\)
\(128\) 6.06006 + 1.75532i 0.535639 + 0.155150i
\(129\) −7.48452 3.92818i −0.658975 0.345857i
\(130\) 0.0644666 + 1.23321i 0.00565409 + 0.108160i
\(131\) 4.80318 2.52090i 0.419656 0.220252i −0.241659 0.970361i \(-0.577691\pi\)
0.661314 + 0.750109i \(0.269999\pi\)
\(132\) 4.83840 0.987766i 0.421129 0.0859740i
\(133\) 0.745355 + 0.560098i 0.0646304 + 0.0485666i
\(134\) −0.0958678 2.37893i −0.00828171 0.205509i
\(135\) −1.53730 + 0.583019i −0.132309 + 0.0501783i
\(136\) 4.72731 1.36928i 0.405363 0.117415i
\(137\) −10.1802 2.07831i −0.869757 0.177562i −0.255635 0.966773i \(-0.582285\pi\)
−0.614122 + 0.789211i \(0.710490\pi\)
\(138\) −1.06773 1.20521i −0.0908910 0.102595i
\(139\) −10.8204 + 13.2526i −0.917774 + 1.12407i 0.0741510 + 0.997247i \(0.476375\pi\)
−0.991925 + 0.126823i \(0.959522\pi\)
\(140\) 0.269465 6.68669i 0.0227739 0.565129i
\(141\) 0.729244 + 2.18435i 0.0614134 + 0.183956i
\(142\) −2.33697 + 2.07038i −0.196114 + 0.173742i
\(143\) −4.77133 + 7.74873i −0.398998 + 0.647981i
\(144\) −2.80056 2.48108i −0.233380 0.206757i
\(145\) 3.17903 7.46145i 0.264004 0.619640i
\(146\) −0.0446672 + 0.0773658i −0.00369668 + 0.00640284i
\(147\) 1.33621 + 2.31438i 0.110209 + 0.190887i
\(148\) −16.7776 + 2.03717i −1.37911 + 0.167454i
\(149\) 14.7836 + 7.01489i 1.21112 + 0.574682i 0.923697 0.383123i \(-0.125151\pi\)
0.287419 + 0.957805i \(0.407203\pi\)
\(150\) −0.414358 + 0.239230i −0.0338322 + 0.0195330i
\(151\) 12.1446 + 8.38279i 0.988311 + 0.682182i 0.948418 0.317022i \(-0.102683\pi\)
0.0398927 + 0.999204i \(0.487298\pi\)
\(152\) −0.339839 + 0.144792i −0.0275646 + 0.0117442i
\(153\) −5.89394 0.957858i −0.476496 0.0774382i
\(154\) −0.657045 + 0.874368i −0.0529462 + 0.0704586i
\(155\) −4.17497 11.0085i −0.335342 0.884224i
\(156\) 7.02448 0.651657i 0.562408 0.0521744i
\(157\) −2.71638 + 7.16251i −0.216791 + 0.571630i −0.998657 0.0518165i \(-0.983499\pi\)
0.781866 + 0.623447i \(0.214268\pi\)
\(158\) 1.72489 + 2.72769i 0.137225 + 0.217003i
\(159\) 5.88594 + 2.50777i 0.466786 + 0.198879i
\(160\) 3.37376 + 2.13343i 0.266719 + 0.168663i
\(161\) −15.9622 1.93816i −1.25799 0.152748i
\(162\) −0.0816523 0.191645i −0.00641521 0.0150570i
\(163\) −2.97220 + 8.90283i −0.232801 + 0.697324i 0.765731 + 0.643161i \(0.222377\pi\)
−0.998532 + 0.0541630i \(0.982751\pi\)
\(164\) −4.63852 1.75916i −0.362207 0.137367i
\(165\) 4.13612 + 0.333902i 0.321996 + 0.0259942i
\(166\) −0.569044 + 1.96457i −0.0441664 + 0.152480i
\(167\) −23.6725 0.953968i −1.83183 0.0738203i −0.899823 0.436256i \(-0.856304\pi\)
−0.932009 + 0.362436i \(0.881945\pi\)
\(168\) 1.71461 0.132285
\(169\) −7.97877 + 10.2635i −0.613752 + 0.789499i
\(170\) 2.04514 0.156855
\(171\) 0.447817 + 0.0180464i 0.0342454 + 0.00138004i
\(172\) 4.60134 15.8857i 0.350849 1.21127i
\(173\) 15.2650 + 1.23232i 1.16057 + 0.0936912i 0.645711 0.763582i \(-0.276561\pi\)
0.514862 + 0.857273i \(0.327843\pi\)
\(174\) 0.960827 + 0.364394i 0.0728401 + 0.0276246i
\(175\) −1.51305 + 4.53213i −0.114376 + 0.342597i
\(176\) 3.70136 + 8.68742i 0.279001 + 0.654839i
\(177\) 8.45633 + 1.02678i 0.635617 + 0.0771779i
\(178\) −2.99948 1.89675i −0.224820 0.142168i
\(179\) −13.5949 5.79223i −1.01613 0.432931i −0.181291 0.983430i \(-0.558028\pi\)
−0.834836 + 0.550498i \(0.814438\pi\)
\(180\) −1.71934 2.71892i −0.128152 0.202656i
\(181\) 6.47715 17.0788i 0.481443 1.26946i −0.445845 0.895110i \(-0.647097\pi\)
0.927288 0.374350i \(-0.122134\pi\)
\(182\) −1.06882 + 1.13972i −0.0792263 + 0.0844814i
\(183\) −4.56207 12.0292i −0.337238 0.889224i
\(184\) 3.82717 5.09303i 0.282142 0.375463i
\(185\) −14.0179 2.27812i −1.03061 0.167491i
\(186\) 1.37236 0.584708i 0.100626 0.0428729i
\(187\) 12.4029 + 8.56109i 0.906989 + 0.626049i
\(188\) −3.90213 + 2.25290i −0.284592 + 0.164310i
\(189\) −1.87943 0.891802i −0.136709 0.0648690i
\(190\) −0.152382 + 0.0185025i −0.0110549 + 0.00134231i
\(191\) 7.89385 + 13.6726i 0.571179 + 0.989311i 0.996445 + 0.0842430i \(0.0268472\pi\)
−0.425266 + 0.905068i \(0.639819\pi\)
\(192\) 3.48864 6.04249i 0.251771 0.436080i
\(193\) −0.165904 + 0.389391i −0.0119420 + 0.0280290i −0.925844 0.377907i \(-0.876644\pi\)
0.913902 + 0.405936i \(0.133054\pi\)
\(194\) −1.01031 0.895053i −0.0725358 0.0642611i
\(195\) 5.82198 + 1.11626i 0.416920 + 0.0799370i
\(196\) −3.91387 + 3.46738i −0.279562 + 0.247670i
\(197\) 5.08627 + 15.2352i 0.362382 + 1.08547i 0.959113 + 0.283024i \(0.0913376\pi\)
−0.596731 + 0.802441i \(0.703534\pi\)
\(198\) −0.0211701 + 0.525330i −0.00150449 + 0.0373336i
\(199\) 13.5716 16.6222i 0.962063 1.17831i −0.0218670 0.999761i \(-0.506961\pi\)
0.983930 0.178553i \(-0.0571415\pi\)
\(200\) −1.25534 1.41699i −0.0887659 0.100196i
\(201\) −11.1982 2.28613i −0.789861 0.161251i
\(202\) 0.645332 0.186923i 0.0454054 0.0131518i
\(203\) 9.59508 3.63893i 0.673443 0.255403i
\(204\) −0.470443 11.6739i −0.0329376 0.817338i
\(205\) −3.33259 2.50428i −0.232758 0.174907i
\(206\) −0.756727 + 0.154487i −0.0527237 + 0.0107636i
\(207\) −6.84406 + 3.59204i −0.475695 + 0.249664i
\(208\) 3.90780 + 12.9118i 0.270957 + 0.895274i
\(209\) −1.00158 0.525669i −0.0692807 0.0363613i
\(210\) 0.684361 + 0.198228i 0.0472254 + 0.0136790i
\(211\) −24.0852 + 1.94436i −1.65810 + 0.133855i −0.873720 0.486429i \(-0.838299\pi\)
−0.784377 + 0.620285i \(0.787017\pi\)
\(212\) −2.50396 + 12.2652i −0.171972 + 0.842377i
\(213\) 6.96515 + 13.2710i 0.477244 + 0.909313i
\(214\) 0.852789 + 1.13486i 0.0582955 + 0.0775772i
\(215\) 7.42771 11.7460i 0.506566 0.801069i
\(216\) 0.678318 0.468209i 0.0461537 0.0318576i
\(217\) 6.38615 13.4585i 0.433520 0.913624i
\(218\) 0.436970 0.454934i 0.0295953 0.0308120i
\(219\) 0.309283 + 0.297071i 0.0208994 + 0.0200742i
\(220\) 0.978646 + 8.05988i 0.0659803 + 0.543397i
\(221\) 16.2847 + 14.0832i 1.09543 + 0.947340i
\(222\) 0.216892 1.78626i 0.0145568 0.119886i
\(223\) 6.11422 4.99211i 0.409439 0.334296i −0.405238 0.914211i \(-0.632812\pi\)
0.814677 + 0.579915i \(0.196914\pi\)
\(224\) 1.01025 + 4.94854i 0.0675003 + 0.330638i
\(225\) 0.639013 + 2.20613i 0.0426009 + 0.147075i
\(226\) −0.282107 1.14455i −0.0187655 0.0761346i
\(227\) −0.604461 + 7.48759i −0.0401195 + 0.496969i 0.945228 + 0.326411i \(0.105839\pi\)
−0.985348 + 0.170558i \(0.945443\pi\)
\(228\) 0.140667 + 0.865557i 0.00931588 + 0.0573229i
\(229\) 16.3388 18.4427i 1.07970 1.21873i 0.105171 0.994454i \(-0.466461\pi\)
0.974527 0.224272i \(-0.0720005\pi\)
\(230\) 2.11637 1.59035i 0.139549 0.104865i
\(231\) 3.32056 + 4.06694i 0.218477 + 0.267585i
\(232\) −0.652204 + 4.01318i −0.0428193 + 0.263478i
\(233\) 11.7837 + 2.90441i 0.771973 + 0.190274i 0.605579 0.795785i \(-0.292941\pi\)
0.166394 + 0.986059i \(0.446788\pi\)
\(234\) −0.111615 + 0.742749i −0.00729647 + 0.0485550i
\(235\) −3.67621 + 0.906103i −0.239809 + 0.0591077i
\(236\) 1.34115 + 16.6132i 0.0873017 + 1.08143i
\(237\) 14.6952 4.90598i 0.954556 0.318678i
\(238\) 1.79254 + 1.86623i 0.116193 + 0.120970i
\(239\) 11.4571i 0.741101i −0.928812 0.370551i \(-0.879169\pi\)
0.928812 0.370551i \(-0.120831\pi\)
\(240\) 4.43652 4.26134i 0.286376 0.275068i
\(241\) 5.79721 + 4.73328i 0.373431 + 0.304897i 0.800512 0.599316i \(-0.204561\pi\)
−0.427081 + 0.904213i \(0.640458\pi\)
\(242\) −0.448236 + 0.854042i −0.0288137 + 0.0548999i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) 21.2753 13.4537i 1.36201 0.861283i
\(245\) −3.96961 + 1.88360i −0.253609 + 0.120339i
\(246\) 0.300036 0.434678i 0.0191296 0.0277140i
\(247\) −1.34077 0.901999i −0.0853109 0.0573928i
\(248\) 3.35282 + 4.85740i 0.212904 + 0.308445i
\(249\) 8.50302 + 4.90922i 0.538857 + 0.311109i
\(250\) −1.07136 2.25785i −0.0677589 0.142799i
\(251\) −19.0630 6.36418i −1.20325 0.401703i −0.356803 0.934180i \(-0.616133\pi\)
−0.846445 + 0.532476i \(0.821262\pi\)
\(252\) 0.974085 3.95202i 0.0613616 0.248954i
\(253\) 19.4922 0.785507i 1.22546 0.0493844i
\(254\) −1.89706 + 0.0764491i −0.119032 + 0.00479684i
\(255\) 2.34950 9.53229i 0.147131 0.596935i
\(256\) 11.9897 + 4.00276i 0.749359 + 0.250173i
\(257\) −0.198997 0.419377i −0.0124131 0.0261600i 0.897149 0.441728i \(-0.145634\pi\)
−0.909562 + 0.415568i \(0.863583\pi\)
\(258\) 1.52492 + 0.880412i 0.0949373 + 0.0548121i
\(259\) −10.2076 14.7883i −0.634270 0.918899i
\(260\) 0.138615 + 11.5980i 0.00859655 + 0.719276i
\(261\) 2.80224 4.05974i 0.173454 0.251292i
\(262\) −1.02090 + 0.484425i −0.0630717 + 0.0299279i
\(263\) 1.89390 1.19763i 0.116783 0.0738489i −0.474797 0.880095i \(-0.657479\pi\)
0.591580 + 0.806246i \(0.298504\pi\)
\(264\) −2.05327 + 0.333689i −0.126370 + 0.0205372i
\(265\) −4.88844 + 9.31415i −0.300295 + 0.572163i
\(266\) −0.150444 0.122834i −0.00922432 0.00753142i
\(267\) −12.2865 + 11.8014i −0.751923 + 0.722232i
\(268\) 22.3624i 1.36600i
\(269\) −7.26055 7.55903i −0.442683 0.460882i 0.462054 0.886852i \(-0.347113\pi\)
−0.904738 + 0.425969i \(0.859933\pi\)
\(270\) 0.324871 0.108458i 0.0197710 0.00660054i
\(271\) −0.489456 6.06300i −0.0297323 0.368301i −0.994465 0.105069i \(-0.966494\pi\)
0.964733 0.263232i \(-0.0847884\pi\)
\(272\) 21.6924 5.34668i 1.31529 0.324190i
\(273\) 4.08427 + 6.29104i 0.247191 + 0.380751i
\(274\) 2.10154 + 0.517983i 0.126959 + 0.0312925i
\(275\) 0.929877 5.72177i 0.0560737 0.345035i
\(276\) −9.56474 11.7147i −0.575730 0.705141i
\(277\) −6.51166 + 4.89319i −0.391248 + 0.294003i −0.778103 0.628137i \(-0.783818\pi\)
0.386855 + 0.922140i \(0.373561\pi\)
\(278\) 2.36338 2.66770i 0.141746 0.159998i
\(279\) −1.14870 7.06822i −0.0687707 0.423163i
\(280\) −0.226839 + 2.80991i −0.0135562 + 0.167924i
\(281\) 1.71661 + 6.96456i 0.102404 + 0.415471i 0.999661 0.0260386i \(-0.00828929\pi\)
−0.897257 + 0.441510i \(0.854443\pi\)
\(282\) −0.133466 0.460780i −0.00794781 0.0274390i
\(283\) −0.946827 4.63787i −0.0562830 0.275693i 0.941904 0.335882i \(-0.109035\pi\)
−0.998187 + 0.0601899i \(0.980829\pi\)
\(284\) −22.7154 + 18.5465i −1.34791 + 1.10053i
\(285\) −0.0888199 + 0.731498i −0.00526124 + 0.0433302i
\(286\) 1.05813 1.57284i 0.0625683 0.0930040i
\(287\) −0.635768 5.23602i −0.0375282 0.309072i
\(288\) 1.75097 + 1.68183i 0.103177 + 0.0991027i
\(289\) 12.9234 13.4547i 0.760203 0.791455i
\(290\) −0.724286 + 1.52640i −0.0425316 + 0.0896333i
\(291\) −5.33245 + 3.68073i −0.312594 + 0.215768i
\(292\) −0.448459 + 0.709181i −0.0262441 + 0.0415017i
\(293\) 12.3865 + 16.4835i 0.723628 + 0.962974i 0.999998 + 0.00192278i \(0.000612040\pi\)
−0.276370 + 0.961051i \(0.589132\pi\)
\(294\) −0.258713 0.492937i −0.0150885 0.0287487i
\(295\) −2.80146 + 13.7224i −0.163107 + 0.798952i
\(296\) 7.09636 0.572877i 0.412467 0.0332978i
\(297\) 2.42421 + 0.702182i 0.140667 + 0.0407447i
\(298\) −3.01829 1.58412i −0.174845 0.0917657i
\(299\) 27.8033 + 1.91037i 1.60790 + 0.110480i
\(300\) −3.97920 + 2.08844i −0.229739 + 0.120576i
\(301\) 17.2287 3.51727i 0.993046 0.202732i
\(302\) −2.45752 1.84671i −0.141414 0.106266i
\(303\) −0.129866 3.22260i −0.00746062 0.185133i
\(304\) −1.56790 + 0.594628i −0.0899255 + 0.0341042i
\(305\) 20.3171 5.88491i 1.16335 0.336969i
\(306\) 1.21876 + 0.248812i 0.0696719 + 0.0142236i
\(307\) −7.05302 7.96122i −0.402537 0.454371i 0.511932 0.859026i \(-0.328930\pi\)
−0.914469 + 0.404655i \(0.867392\pi\)
\(308\) −6.49702 + 7.95740i −0.370202 + 0.453415i
\(309\) −0.149288 + 3.70454i −0.00849269 + 0.210744i
\(310\) 0.776662 + 2.32639i 0.0441115 + 0.132130i
\(311\) −0.905367 + 0.802085i −0.0513386 + 0.0454821i −0.688402 0.725329i \(-0.741687\pi\)
0.637063 + 0.770811i \(0.280149\pi\)
\(312\) −2.96771 + 0.155138i −0.168013 + 0.00878298i
\(313\) 4.93329 + 4.37051i 0.278846 + 0.247036i 0.790940 0.611893i \(-0.209592\pi\)
−0.512095 + 0.858929i \(0.671130\pi\)
\(314\) 0.625481 1.46806i 0.0352979 0.0828473i
\(315\) 1.71014 2.96204i 0.0963552 0.166892i
\(316\) 15.1564 + 26.2516i 0.852611 + 1.47677i
\(317\) −14.9828 + 1.81924i −0.841518 + 0.102179i −0.529933 0.848039i \(-0.677783\pi\)
−0.311585 + 0.950218i \(0.600860\pi\)
\(318\) −1.20410 0.571351i −0.0675224 0.0320398i
\(319\) −10.7821 + 6.22504i −0.603681 + 0.348535i
\(320\) 9.44094 + 6.51661i 0.527764 + 0.364289i
\(321\) 6.26920 2.67106i 0.349913 0.149084i
\(322\) 3.30619 + 0.537309i 0.184247 + 0.0299430i
\(323\) −1.60771 + 2.13947i −0.0894553 + 0.119043i
\(324\) −0.693822 1.82946i −0.0385457 0.101637i
\(325\) 2.20877 7.98128i 0.122521 0.442722i
\(326\) 0.693327 1.82815i 0.0383998 0.101252i
\(327\) −1.61842 2.55933i −0.0894989 0.141531i
\(328\) 1.92255 + 0.819121i 0.106155 + 0.0452284i
\(329\) −4.04898 2.56042i −0.223227 0.141160i
\(330\) −0.858113 0.104194i −0.0472376 0.00573568i
\(331\) −5.92073 13.8965i −0.325433 0.763819i −0.999680 0.0253128i \(-0.991942\pi\)
0.674247 0.738506i \(-0.264468\pi\)
\(332\) −6.08345 + 18.2222i −0.333873 + 1.00007i
\(333\) −8.07650 3.06301i −0.442589 0.167852i
\(334\) 4.91932 + 0.397128i 0.269173 + 0.0217299i
\(335\) 5.22803 18.0492i 0.285638 0.986136i
\(336\) 7.77710 + 0.313406i 0.424275 + 0.0170977i
\(337\) 0.148769 0.00810395 0.00405197 0.999992i \(-0.498710\pi\)
0.00405197 + 0.999992i \(0.498710\pi\)
\(338\) 1.74683 2.06937i 0.0950153 0.112559i
\(339\) −5.65879 −0.307343
\(340\) 19.1935 + 0.773473i 1.04092 + 0.0419475i
\(341\) −5.02829 + 17.3597i −0.272297 + 0.940079i
\(342\) −0.0930597 0.00751256i −0.00503209 0.000406233i
\(343\) −18.8138 7.13514i −1.01585 0.385261i
\(344\) −2.20619 + 6.60835i −0.118950 + 0.356298i
\(345\) −4.98120 11.6913i −0.268179 0.629439i
\(346\) −3.16700 0.384543i −0.170259 0.0206732i
\(347\) −4.08518 2.58331i −0.219304 0.138679i 0.420297 0.907387i \(-0.361926\pi\)
−0.639601 + 0.768707i \(0.720900\pi\)
\(348\) 8.87949 + 3.78320i 0.475991 + 0.202801i
\(349\) 7.54063 + 11.9246i 0.403641 + 0.638307i 0.984436 0.175743i \(-0.0562328\pi\)
−0.580795 + 0.814050i \(0.697258\pi\)
\(350\) 0.352949 0.930650i 0.0188659 0.0497453i
\(351\) 3.33369 + 1.37351i 0.177939 + 0.0733127i
\(352\) −2.17286 5.72935i −0.115814 0.305376i
\(353\) −11.7451 + 15.6299i −0.625131 + 0.831898i −0.995277 0.0970753i \(-0.969051\pi\)
0.370146 + 0.928974i \(0.379308\pi\)
\(354\) −1.75153 0.284652i −0.0930930 0.0151291i
\(355\) −22.6701 + 9.65881i −1.20320 + 0.512636i
\(356\) −27.4326 18.9353i −1.45392 1.00357i
\(357\) 10.7577 6.21096i 0.569358 0.328719i
\(358\) 2.78112 + 1.31966i 0.146987 + 0.0697461i
\(359\) −10.6806 + 1.29686i −0.563701 + 0.0684456i −0.397427 0.917634i \(-0.630097\pi\)
−0.166274 + 0.986080i \(0.553174\pi\)
\(360\) 0.677564 + 1.17357i 0.0357107 + 0.0618528i
\(361\) −9.39957 + 16.2805i −0.494714 + 0.856870i
\(362\) −1.49145 + 3.50055i −0.0783887 + 0.183985i
\(363\) 3.46570 + 3.07034i 0.181902 + 0.161151i
\(364\) −10.4619 + 10.2919i −0.548351 + 0.539444i
\(365\) −0.527759 + 0.467554i −0.0276242 + 0.0244729i
\(366\) 0.848674 + 2.54209i 0.0443609 + 0.132877i
\(367\) −0.585879 + 14.5384i −0.0305826 + 0.758900i 0.909044 + 0.416700i \(0.136813\pi\)
−0.939627 + 0.342201i \(0.888828\pi\)
\(368\) 18.2902 22.4014i 0.953440 1.16775i
\(369\) −1.68132 1.89782i −0.0875261 0.0987965i
\(370\) 2.89864 + 0.591762i 0.150693 + 0.0307643i
\(371\) −12.7840 + 3.70292i −0.663711 + 0.192246i
\(372\) 13.1007 4.96842i 0.679237 0.257601i
\(373\) −0.722105 17.9188i −0.0373892 0.927802i −0.903666 0.428238i \(-0.859134\pi\)
0.866277 0.499564i \(-0.166507\pi\)
\(374\) −2.50979 1.88599i −0.129778 0.0975221i
\(375\) −11.7545 + 2.39970i −0.607000 + 0.123920i
\(376\) 1.68065 0.882073i 0.0866729 0.0454895i
\(377\) −16.2783 + 7.16657i −0.838374 + 0.369097i
\(378\) 0.383715 + 0.201389i 0.0197362 + 0.0103583i
\(379\) −2.16612 0.627425i −0.111266 0.0322286i 0.222117 0.975020i \(-0.428703\pi\)
−0.333383 + 0.942791i \(0.608190\pi\)
\(380\) −1.43709 + 0.116014i −0.0737211 + 0.00595138i
\(381\) −1.82306 + 8.92994i −0.0933982 + 0.457495i
\(382\) −1.52838 2.91209i −0.0781990 0.148996i
\(383\) 10.0616 + 13.3896i 0.514124 + 0.684174i 0.979616 0.200877i \(-0.0643793\pi\)
−0.465493 + 0.885052i \(0.654123\pi\)
\(384\) −3.37203 + 5.33244i −0.172078 + 0.272120i
\(385\) −7.10423 + 4.90370i −0.362065 + 0.249916i
\(386\) 0.0377984 0.0796584i 0.00192389 0.00405451i
\(387\) 5.85541 6.09613i 0.297647 0.309884i
\(388\) −9.14316 8.78212i −0.464173 0.445845i
\(389\) −3.55078 29.2433i −0.180032 1.48269i −0.750224 0.661183i \(-0.770055\pi\)
0.570193 0.821511i \(-0.306869\pi\)
\(390\) −1.20245 0.281179i −0.0608887 0.0142380i
\(391\) 5.56330 45.8179i 0.281348 2.31711i
\(392\) 1.70619 1.39306i 0.0861756 0.0703602i
\(393\) 1.08504 + 5.31490i 0.0547332 + 0.268101i
\(394\) −0.930891 3.21381i −0.0468976 0.161909i
\(395\) 6.09580 + 24.7316i 0.306713 + 1.24438i
\(396\) −0.397360 + 4.92218i −0.0199681 + 0.247349i
\(397\) −0.662021 4.07358i −0.0332259 0.204447i 0.965130 0.261772i \(-0.0843069\pi\)
−0.998356 + 0.0573252i \(0.981743\pi\)
\(398\) −2.96429 + 3.34599i −0.148586 + 0.167719i
\(399\) −0.745355 + 0.560098i −0.0373144 + 0.0280400i
\(400\) −5.43495 6.65661i −0.271748 0.332830i
\(401\) 1.60843 9.89707i 0.0803212 0.494236i −0.915455 0.402421i \(-0.868169\pi\)
0.995776 0.0918154i \(-0.0292670\pi\)
\(402\) 2.31168 + 0.569778i 0.115296 + 0.0284180i
\(403\) −9.83566 + 23.8724i −0.489949 + 1.18917i
\(404\) 6.12710 1.51019i 0.304835 0.0751350i
\(405\) −0.132298 1.63881i −0.00657395 0.0814329i
\(406\) −2.02770 + 0.676944i −0.100633 + 0.0335962i
\(407\) 15.1018 + 15.7227i 0.748570 + 0.779344i
\(408\) 4.92162i 0.243657i
\(409\) −18.2361 + 17.5160i −0.901717 + 0.866110i −0.991534 0.129848i \(-0.958551\pi\)
0.0898174 + 0.995958i \(0.471372\pi\)
\(410\) 0.672658 + 0.549209i 0.0332202 + 0.0271235i
\(411\) 4.82858 9.20008i 0.238176 0.453807i
\(412\) −7.16027 + 1.16366i −0.352761 + 0.0573292i
\(413\) −14.9774 + 9.47115i −0.736991 + 0.466045i
\(414\) 1.45469 0.690259i 0.0714941 0.0339244i
\(415\) −9.17019 + 13.2853i −0.450147 + 0.652151i
\(416\) −2.19633 8.47372i −0.107684 0.415458i
\(417\) −9.71892 14.0803i −0.475938 0.689515i
\(418\) 0.204065 + 0.117817i 0.00998114 + 0.00576261i
\(419\) −8.44198 17.7911i −0.412418 0.869151i −0.998274 0.0587363i \(-0.981293\pi\)
0.585856 0.810415i \(-0.300758\pi\)
\(420\) 6.34772 + 2.11918i 0.309737 + 0.103405i
\(421\) −0.847987 + 3.44042i −0.0413283 + 0.167676i −0.987980 0.154584i \(-0.950596\pi\)
0.946651 + 0.322260i \(0.104442\pi\)
\(422\) 5.02954 0.202684i 0.244834 0.00986649i
\(423\) −2.30100 + 0.0927270i −0.111878 + 0.00450854i
\(424\) 1.26198 5.12004i 0.0612870 0.248651i
\(425\) −13.0091 4.34306i −0.631032 0.210669i
\(426\) −1.33845 2.82072i −0.0648480 0.136664i
\(427\) 23.1777 + 13.3817i 1.12165 + 0.647584i
\(428\) 7.57417 + 10.9731i 0.366112 + 0.530404i
\(429\) −6.11533 6.73878i −0.295251 0.325351i
\(430\) −1.64457 + 2.38257i −0.0793081 + 0.114898i
\(431\) −10.8122 + 5.13047i −0.520807 + 0.247126i −0.670902 0.741546i \(-0.734093\pi\)
0.150096 + 0.988671i \(0.452042\pi\)
\(432\) 3.16229 1.99971i 0.152146 0.0962112i
\(433\) 21.0922 3.42781i 1.01363 0.164730i 0.369162 0.929365i \(-0.379645\pi\)
0.644464 + 0.764635i \(0.277081\pi\)
\(434\) −1.44214 + 2.74776i −0.0692248 + 0.131897i
\(435\) 6.28240 + 5.12942i 0.301218 + 0.245937i
\(436\) 4.27299 4.10426i 0.204639 0.196559i
\(437\) 3.46418i 0.165714i
\(438\) −0.0618841 0.0644282i −0.00295694 0.00307850i
\(439\) −10.0320 + 3.34917i −0.478801 + 0.159847i −0.545817 0.837905i \(-0.683781\pi\)
0.0670154 + 0.997752i \(0.478652\pi\)
\(440\) −0.275208 3.40906i −0.0131200 0.162521i
\(441\) −2.59477 + 0.639552i −0.123560 + 0.0304549i
\(442\) −3.27145 3.06795i −0.155607 0.145928i
\(443\) 29.6955 + 7.31928i 1.41087 + 0.347749i 0.869875 0.493273i \(-0.164200\pi\)
0.541000 + 0.841022i \(0.318046\pi\)
\(444\) 2.71108 16.6819i 0.128662 0.791690i
\(445\) −17.7147 21.6965i −0.839756 1.02851i
\(446\) −1.31452 + 0.987799i −0.0622444 + 0.0467736i
\(447\) −10.8510 + 12.2482i −0.513233 + 0.579321i
\(448\) 2.32832 + 14.3267i 0.110003 + 0.676875i
\(449\) 0.688774 8.53200i 0.0325053 0.402650i −0.959961 0.280133i \(-0.909621\pi\)
0.992466 0.122517i \(-0.0390966\pi\)
\(450\) −0.114503 0.464556i −0.00539771 0.0218994i
\(451\) 1.78035 + 6.14650i 0.0838336 + 0.289427i
\(452\) −2.21469 10.8483i −0.104170 0.510259i
\(453\) −11.4307 + 9.33284i −0.537059 + 0.438495i
\(454\) 0.188622 1.55344i 0.00885245 0.0729065i
\(455\) −10.8501 + 5.86104i −0.508663 + 0.274770i
\(456\) −0.0445261 0.366705i −0.00208512 0.0171725i
\(457\) −18.6838 17.9460i −0.873989 0.839478i 0.114083 0.993471i \(-0.463607\pi\)
−0.988072 + 0.153993i \(0.950787\pi\)
\(458\) −3.55554 + 3.70171i −0.166140 + 0.172970i
\(459\) 2.55984 5.39474i 0.119483 0.251805i
\(460\) 20.4635 14.1249i 0.954115 0.658578i
\(461\) 21.7516 34.3974i 1.01307 1.60205i 0.236894 0.971535i \(-0.423871\pi\)
0.776179 0.630512i \(-0.217155\pi\)
\(462\) −0.657045 0.874368i −0.0305685 0.0406793i
\(463\) −4.76557 9.08003i −0.221475 0.421985i 0.749213 0.662329i \(-0.230432\pi\)
−0.970688 + 0.240344i \(0.922740\pi\)
\(464\) −3.69182 + 18.0837i −0.171388 + 0.839515i
\(465\) 11.7354 0.947380i 0.544217 0.0439337i
\(466\) −2.42835 0.703381i −0.112491 0.0325835i
\(467\) −16.6903 8.75974i −0.772334 0.405352i 0.0320313 0.999487i \(-0.489802\pi\)
−0.804366 + 0.594134i \(0.797495\pi\)
\(468\) −1.32840 + 6.92844i −0.0614055 + 0.320267i
\(469\) 21.0526 11.0492i 0.972117 0.510206i
\(470\) 0.772786 0.157765i 0.0356459 0.00727717i
\(471\) −6.12397 4.60187i −0.282178 0.212043i
\(472\) −0.282709 7.01536i −0.0130127 0.322908i
\(473\) −19.9472 + 7.56496i −0.917172 + 0.347837i
\(474\) −3.09989 + 0.897894i −0.142383 + 0.0412416i
\(475\) 1.00858 + 0.205904i 0.0462770 + 0.00944751i
\(476\) 16.1171 + 18.1924i 0.738724 + 0.833847i
\(477\) −4.04633 + 4.95585i −0.185269 + 0.226913i
\(478\) −0.0961023 + 2.38475i −0.00439562 + 0.109076i
\(479\) −6.28136 18.8150i −0.287003 0.859678i −0.989054 0.147552i \(-0.952861\pi\)
0.702052 0.712126i \(-0.252268\pi\)
\(480\) −2.98784 + 2.64700i −0.136376 + 0.120818i
\(481\) 19.0058 + 24.6725i 0.866589 + 1.12497i
\(482\) −1.16696 1.03384i −0.0531536 0.0470900i
\(483\) 6.30258 14.7927i 0.286777 0.673092i
\(484\) −4.52967 + 7.84562i −0.205894 + 0.356619i
\(485\) −5.32652 9.22581i −0.241865 0.418922i
\(486\) 0.206796 0.0251095i 0.00938044 0.00113899i
\(487\) −12.3060 5.83926i −0.557637 0.264602i 0.128948 0.991651i \(-0.458840\pi\)
−0.686585 + 0.727049i \(0.740891\pi\)
\(488\) −9.18311 + 5.30187i −0.415700 + 0.240005i
\(489\) −7.72441 5.33178i −0.349310 0.241111i
\(490\) 0.842055 0.358766i 0.0380402 0.0162074i
\(491\) −31.6379 5.14166i −1.42780 0.232040i −0.603125 0.797647i \(-0.706078\pi\)
−0.824675 + 0.565607i \(0.808642\pi\)
\(492\) 2.98022 3.96595i 0.134359 0.178799i
\(493\) 10.4452 + 27.5418i 0.470429 + 1.24042i
\(494\) 0.271508 + 0.198993i 0.0122157 + 0.00895313i
\(495\) −1.47146 + 3.87992i −0.0661372 + 0.174389i
\(496\) 14.3198 + 22.6450i 0.642980 + 1.01679i
\(497\) −28.6838 12.2210i −1.28664 0.548188i
\(498\) −1.72869 1.09315i −0.0774643 0.0489854i
\(499\) −24.8830 3.02134i −1.11392 0.135254i −0.457180 0.889374i \(-0.651141\pi\)
−0.656736 + 0.754120i \(0.728064\pi\)
\(500\) −9.20076 21.5950i −0.411470 0.965756i
\(501\) 7.50240 22.4724i 0.335183 1.00399i
\(502\) 3.91450 + 1.48457i 0.174713 + 0.0662598i
\(503\) 6.47647 + 0.522835i 0.288771 + 0.0233120i 0.224004 0.974588i \(-0.428087\pi\)
0.0647678 + 0.997900i \(0.479369\pi\)
\(504\) −0.477033 + 1.64691i −0.0212488 + 0.0733592i
\(505\) 5.29839 + 0.213518i 0.235775 + 0.00950143i
\(506\) −4.06379 −0.180658
\(507\) −7.63843 10.5192i −0.339235 0.467176i
\(508\) −17.8328 −0.791201
\(509\) 17.7068 + 0.713561i 0.784841 + 0.0316280i 0.429451 0.903090i \(-0.358707\pi\)
0.355390 + 0.934718i \(0.384348\pi\)
\(510\) −0.568994 + 1.96440i −0.0251955 + 0.0869849i
\(511\) −0.889224 0.0717856i −0.0393370 0.00317561i
\(512\) −14.2604 5.40824i −0.630225 0.239013i
\(513\) −0.141924 + 0.425116i −0.00626612 + 0.0187693i
\(514\) 0.0379026 + 0.0889606i 0.00167181 + 0.00392388i
\(515\) −6.05127 0.734757i −0.266651 0.0323773i
\(516\) 13.9783 + 8.83934i 0.615360 + 0.389130i
\(517\) 5.34702 + 2.27815i 0.235162 + 0.100193i
\(518\) 2.00063 + 3.16374i 0.0879024 + 0.139007i
\(519\) −5.43064 + 14.3194i −0.238379 + 0.628553i
\(520\) 0.138380 4.88402i 0.00606838 0.214178i
\(521\) −0.256716 0.676904i −0.0112469 0.0296557i 0.929275 0.369388i \(-0.120433\pi\)
−0.940522 + 0.339732i \(0.889663\pi\)
\(522\) −0.617326 + 0.821511i −0.0270196 + 0.0359566i
\(523\) 7.96513 + 1.29446i 0.348291 + 0.0566027i 0.332040 0.943265i \(-0.392263\pi\)
0.0162504 + 0.999868i \(0.494827\pi\)
\(524\) −9.76434 + 4.16020i −0.426557 + 0.181739i
\(525\) −3.93223 2.71422i −0.171617 0.118458i
\(526\) −0.404252 + 0.233395i −0.0176262 + 0.0101765i
\(527\) 38.6315 + 18.3309i 1.68281 + 0.798505i
\(528\) −9.37421 + 1.13823i −0.407960 + 0.0495353i
\(529\) −18.3720 31.8212i −0.798782 1.38353i
\(530\) 1.09563 1.89769i 0.0475913 0.0824305i
\(531\) −3.33894 + 7.83679i −0.144898 + 0.340088i
\(532\) −1.36545 1.20969i −0.0591999 0.0524465i
\(533\) 1.57417 + 9.00518i 0.0681848 + 0.390058i
\(534\) 2.65637 2.35334i 0.114953 0.101839i
\(535\) 3.54794 + 10.6274i 0.153391 + 0.459462i
\(536\) −0.379311 + 9.41250i −0.0163837 + 0.406558i
\(537\) 9.34586 11.4466i 0.403304 0.493957i
\(538\) 1.44785 + 1.63428i 0.0624210 + 0.0704588i
\(539\) 6.60851 + 1.34914i 0.284649 + 0.0581114i
\(540\) 3.08992 0.895005i 0.132969 0.0385149i
\(541\) 29.8206 11.3095i 1.28209 0.486232i 0.382898 0.923791i \(-0.374926\pi\)
0.899190 + 0.437559i \(0.144157\pi\)
\(542\) 0.0510217 + 1.26609i 0.00219157 + 0.0543833i
\(543\) 14.6025 + 10.9731i 0.626652 + 0.470899i
\(544\) −14.2043 + 2.89983i −0.609006 + 0.124329i
\(545\) 4.40836 2.31368i 0.188833 0.0991073i
\(546\) −0.797354 1.34371i −0.0341236 0.0575055i
\(547\) −33.3625 17.5100i −1.42648 0.748673i −0.437848 0.899049i \(-0.644259\pi\)
−0.988629 + 0.150376i \(0.951952\pi\)
\(548\) 19.5269 + 5.65604i 0.834148 + 0.241614i
\(549\) 12.8235 1.03522i 0.547294 0.0441821i
\(550\) −0.241544 + 1.18316i −0.0102995 + 0.0504501i
\(551\) −1.02743 1.95761i −0.0437702 0.0833971i
\(552\) 3.82717 + 5.09303i 0.162895 + 0.216774i
\(553\) −17.2252 + 27.2395i −0.732489 + 1.15834i
\(554\) 1.39642 0.963876i 0.0593280 0.0409512i
\(555\) 6.08819 12.8306i 0.258429 0.544628i
\(556\) 23.1891 24.1424i 0.983437 1.02387i
\(557\) −3.70508 3.55878i −0.156989 0.150790i 0.610115 0.792313i \(-0.291123\pi\)
−0.767104 + 0.641523i \(0.778303\pi\)
\(558\) 0.179808 + 1.48085i 0.00761188 + 0.0626895i
\(559\) −29.5019 + 7.64668i −1.24780 + 0.323420i
\(560\) −1.54251 + 12.7037i −0.0651828 + 0.536829i
\(561\) −11.6738 + 9.53135i −0.492868 + 0.402414i
\(562\) −0.298886 1.46404i −0.0126077 0.0617568i
\(563\) −6.89324 23.7982i −0.290515 1.00298i −0.964468 0.264201i \(-0.914892\pi\)
0.673952 0.738775i \(-0.264595\pi\)
\(564\) −1.07831 4.37487i −0.0454049 0.184215i
\(565\) 0.748647 9.27366i 0.0314958 0.390146i
\(566\) 0.158175 + 0.973293i 0.00664861 + 0.0409106i
\(567\) 1.37948 1.55711i 0.0579328 0.0653927i
\(568\) 9.87565 7.42107i 0.414373 0.311381i
\(569\) −8.95138 10.9634i −0.375261 0.459612i 0.552100 0.833778i \(-0.313826\pi\)
−0.927362 + 0.374166i \(0.877929\pi\)
\(570\) 0.0246232 0.151513i 0.00103135 0.00634618i
\(571\) −27.3352 6.73752i −1.14394 0.281956i −0.378588 0.925565i \(-0.623590\pi\)
−0.765354 + 0.643609i \(0.777436\pi\)
\(572\) 10.5253 14.3608i 0.440085 0.600456i
\(573\) −15.3289 + 3.77825i −0.640376 + 0.157838i
\(574\) 0.0884126 + 1.09519i 0.00369027 + 0.0457122i
\(575\) −16.8394 + 5.62182i −0.702251 + 0.234446i
\(576\) 4.83333 + 5.03203i 0.201389 + 0.209668i
\(577\) 16.8985i 0.703492i 0.936095 + 0.351746i \(0.114412\pi\)
−0.936095 + 0.351746i \(0.885588\pi\)
\(578\) −2.80281 + 2.69214i −0.116582 + 0.111978i
\(579\) −0.327860 0.267689i −0.0136254 0.0111248i
\(580\) −7.37467 + 14.0513i −0.306216 + 0.583447i
\(581\) −20.1606 + 3.27642i −0.836404 + 0.135929i
\(582\) 1.14080 0.721398i 0.0472877 0.0299029i
\(583\) 14.5884 6.92228i 0.604190 0.286692i
\(584\) 0.200789 0.290893i 0.00830869 0.0120372i
\(585\) −2.69196 + 5.28155i −0.111299 + 0.218365i
\(586\) −2.43993 3.53486i −0.100793 0.146024i
\(587\) 31.2046 + 18.0160i 1.28795 + 0.743600i 0.978289 0.207246i \(-0.0664502\pi\)
0.309664 + 0.950846i \(0.399784\pi\)
\(588\) −2.24158 4.72403i −0.0924412 0.194816i
\(589\) −3.04423 1.01631i −0.125435 0.0418765i
\(590\) 0.698214 2.83277i 0.0287450 0.116623i
\(591\) −16.0488 + 0.646745i −0.660159 + 0.0266035i
\(592\) 32.2923 1.30134i 1.32721 0.0534846i
\(593\) −5.65294 + 22.9349i −0.232139 + 0.941823i 0.733030 + 0.680196i \(0.238105\pi\)
−0.965169 + 0.261627i \(0.915741\pi\)
\(594\) −0.498699 0.166490i −0.0204619 0.00683118i
\(595\) 8.75533 + 18.4515i 0.358934 + 0.756437i
\(596\) −27.7274 16.0084i −1.13576 0.655730i
\(597\) 12.1900 + 17.6603i 0.498905 + 0.722789i
\(598\) −5.77110 0.630849i −0.235998 0.0257973i
\(599\) −11.8488 + 17.1660i −0.484131 + 0.701385i −0.986590 0.163216i \(-0.947813\pi\)
0.502459 + 0.864601i \(0.332429\pi\)
\(600\) 1.71030 0.811546i 0.0698226 0.0331312i
\(601\) 15.1081 9.55381i 0.616274 0.389708i −0.189543 0.981872i \(-0.560701\pi\)
0.805817 + 0.592164i \(0.201726\pi\)
\(602\) −3.61558 + 0.587589i −0.147360 + 0.0239483i
\(603\) 5.31141 10.1200i 0.216297 0.412120i
\(604\) −22.3653 18.2607i −0.910030 0.743016i
\(605\) −5.49020 + 5.27341i −0.223209 + 0.214395i
\(606\) 0.671858i 0.0272924i
\(607\) −8.35185 8.69520i −0.338991 0.352927i 0.529785 0.848132i \(-0.322273\pi\)
−0.868776 + 0.495205i \(0.835093\pi\)
\(608\) 1.03212 0.344571i 0.0418578 0.0139742i
\(609\) 0.825743 + 10.2287i 0.0334608 + 0.414486i
\(610\) −4.27827 + 1.05450i −0.173222 + 0.0426954i
\(611\) 7.23979 + 4.06532i 0.292891 + 0.164465i
\(612\) 11.3439 + 2.79602i 0.458550 + 0.113022i
\(613\) −5.52586 + 34.0020i −0.223188 + 1.37333i 0.597462 + 0.801897i \(0.296176\pi\)
−0.820650 + 0.571431i \(0.806388\pi\)
\(614\) 1.40128 + 1.71625i 0.0565509 + 0.0692623i
\(615\) 3.33259 2.50428i 0.134383 0.100982i
\(616\) 2.86961 3.23913i 0.115620 0.130508i
\(617\) 5.82849 + 35.8642i 0.234646 + 1.44384i 0.790452 + 0.612524i \(0.209846\pi\)
−0.555806 + 0.831312i \(0.687590\pi\)
\(618\) 0.0621472 0.769831i 0.00249993 0.0309671i
\(619\) 5.73003 + 23.2476i 0.230309 + 0.934402i 0.966302 + 0.257412i \(0.0828698\pi\)
−0.735992 + 0.676990i \(0.763284\pi\)
\(620\) 6.40909 + 22.1267i 0.257395 + 0.888632i
\(621\) −1.54608 7.57322i −0.0620422 0.303903i
\(622\) 0.195176 0.159356i 0.00782584 0.00638960i
\(623\) 4.27183 35.1816i 0.171147 1.40952i
\(624\) −13.4893 + 0.161219i −0.540002 + 0.00645393i
\(625\) −0.993294 8.18051i −0.0397317 0.327220i
\(626\) −0.990181 0.951082i −0.0395756 0.0380129i
\(627\) 0.783572 0.815785i 0.0312928 0.0325793i
\(628\) 6.42532 13.5411i 0.256398 0.540348i
\(629\) 42.4484 29.3000i 1.69253 1.16827i
\(630\) −0.380803 + 0.602191i −0.0151715 + 0.0239919i
\(631\) −15.5110 20.6414i −0.617485 0.821723i 0.377043 0.926196i \(-0.376941\pi\)
−0.994528 + 0.104473i \(0.966684\pi\)
\(632\) −5.93414 11.3066i −0.236047 0.449751i
\(633\) 4.83334 23.6753i 0.192108 0.941007i
\(634\) 3.13386 0.252992i 0.124462 0.0100476i
\(635\) −14.3933 4.16906i −0.571179 0.165444i
\(636\) −11.0843 5.81749i −0.439521 0.230678i
\(637\) 9.17548 + 2.94183i 0.363546 + 0.116559i
\(638\) 2.29646 1.20527i 0.0909176 0.0477173i
\(639\) −14.6849 + 2.99793i −0.580924 + 0.118596i
\(640\) −8.29272 6.23157i −0.327799 0.246325i
\(641\) 1.04325 + 25.8879i 0.0412057 + 1.02251i 0.879088 + 0.476659i \(0.158152\pi\)
−0.837882 + 0.545851i \(0.816207\pi\)
\(642\) −1.32731 + 0.503383i −0.0523848 + 0.0198669i
\(643\) 17.8292 5.16430i 0.703117 0.203660i 0.0926461 0.995699i \(-0.470467\pi\)
0.610471 + 0.792039i \(0.290980\pi\)
\(644\) 30.8252 + 6.29301i 1.21468 + 0.247979i
\(645\) 9.21571 + 10.4024i 0.362868 + 0.409594i
\(646\) 0.352583 0.431836i 0.0138722 0.0169904i
\(647\) −1.35408 + 33.6012i −0.0532345 + 1.32100i 0.723128 + 0.690714i \(0.242704\pi\)
−0.776363 + 0.630286i \(0.782937\pi\)
\(648\) 0.261003 + 0.781801i 0.0102532 + 0.0307120i
\(649\) 16.0925 14.2567i 0.631686 0.559625i
\(650\) −0.526692 + 1.64274i −0.0206586 + 0.0644336i
\(651\) 11.1504 + 9.87841i 0.437019 + 0.387165i
\(652\) 7.19824 16.8949i 0.281905 0.661655i
\(653\) 19.7364 34.1845i 0.772347 1.33774i −0.163927 0.986472i \(-0.552416\pi\)
0.936274 0.351271i \(-0.114250\pi\)
\(654\) 0.315399 + 0.546288i 0.0123331 + 0.0213615i
\(655\) −8.85363 + 1.07503i −0.345940 + 0.0420047i
\(656\) 8.57055 + 4.06678i 0.334624 + 0.158781i
\(657\) −0.371390 + 0.214422i −0.0144893 + 0.00836540i
\(658\) 0.821299 + 0.566902i 0.0320176 + 0.0221001i
\(659\) −21.5745 + 9.19202i −0.840422 + 0.358070i −0.768900 0.639369i \(-0.779196\pi\)
−0.0715217 + 0.997439i \(0.522786\pi\)
\(660\) −8.01394 1.30239i −0.311942 0.0506955i
\(661\) −14.3733 + 19.1274i −0.559057 + 0.743969i −0.987155 0.159763i \(-0.948927\pi\)
0.428099 + 0.903732i \(0.359184\pi\)
\(662\) 1.11581 + 2.94215i 0.0433672 + 0.114350i
\(663\) −18.0579 + 11.7235i −0.701309 + 0.455304i
\(664\) 2.86965 7.56665i 0.111364 0.293643i
\(665\) −0.819282 1.29559i −0.0317704 0.0502409i
\(666\) 1.65539 + 0.705298i 0.0641452 + 0.0273297i
\(667\) 32.2261 + 20.3786i 1.24780 + 0.789062i
\(668\) 46.0173 + 5.58751i 1.78046 + 0.216187i
\(669\) 3.09393 + 7.26172i 0.119618 + 0.280754i
\(670\) −1.23959 + 3.71302i −0.0478894 + 0.143446i
\(671\) −30.3600 11.5140i −1.17204 0.444494i
\(672\) −5.03423 0.406405i −0.194200 0.0156774i
\(673\) 9.75182 33.6672i 0.375905 1.29778i −0.520242 0.854019i \(-0.674158\pi\)
0.896147 0.443756i \(-0.146354\pi\)
\(674\) −0.0309655 0.00124787i −0.00119275 4.80661e-5i
\(675\) −2.29681 −0.0884043
\(676\) 17.1766 18.7603i 0.660638 0.721550i
\(677\) −7.39709 −0.284293 −0.142147 0.989846i \(-0.545400\pi\)
−0.142147 + 0.989846i \(0.545400\pi\)
\(678\) 1.17785 + 0.0474658i 0.0452351 + 0.00182291i
\(679\) 3.75010 12.9468i 0.143916 0.496854i
\(680\) −8.06558 0.651121i −0.309301 0.0249693i
\(681\) −7.02380 2.66377i −0.269152 0.102076i
\(682\) 1.19223 3.57116i 0.0456528 0.136747i
\(683\) −3.75398 8.81092i −0.143642 0.337140i 0.832583 0.553901i \(-0.186861\pi\)
−0.976225 + 0.216760i \(0.930451\pi\)
\(684\) −0.870519 0.105700i −0.0332851 0.00404154i
\(685\) 14.4383 + 9.13025i 0.551661 + 0.348849i
\(686\) 3.85616 + 1.64296i 0.147229 + 0.0627284i
\(687\) 13.1688 + 20.8248i 0.502421 + 0.794515i
\(688\) −11.2147 + 29.5708i −0.427558 + 1.12738i
\(689\) 21.7920 7.56586i 0.830208 0.288236i
\(690\) 0.938748 + 2.47528i 0.0357375 + 0.0942321i
\(691\) 14.7251 19.5956i 0.560170 0.745450i −0.427153 0.904180i \(-0.640483\pi\)
0.987322 + 0.158729i \(0.0507397\pi\)
\(692\) −29.5766 4.80667i −1.12434 0.182722i
\(693\) −4.83021 + 2.05796i −0.183484 + 0.0781754i
\(694\) 0.828642 + 0.571970i 0.0314548 + 0.0217117i
\(695\) 24.3607 14.0646i 0.924053 0.533502i
\(696\) −3.67327 1.74299i −0.139235 0.0660679i
\(697\) 15.0295 1.82491i 0.569283 0.0691235i
\(698\) −1.46952 2.54529i −0.0556223 0.0963407i
\(699\) −6.06816 + 10.5104i −0.229519 + 0.397538i
\(700\) 3.66438 8.60061i 0.138500 0.325073i
\(701\) −0.840140 0.744299i −0.0317317 0.0281118i 0.647108 0.762398i \(-0.275978\pi\)
−0.678840 + 0.734287i \(0.737517\pi\)
\(702\) −0.682371 0.313853i −0.0257544 0.0118456i
\(703\) −2.89771 + 2.56715i −0.109289 + 0.0968218i
\(704\) −5.57642 16.7034i −0.210169 0.629533i
\(705\) 0.152456 3.78316i 0.00574182 0.142482i
\(706\) 2.57580 3.15478i 0.0969416 0.118732i
\(707\) 4.44913 + 5.02203i 0.167327 + 0.188873i
\(708\) −16.3304 3.33387i −0.613734 0.125295i
\(709\) −35.7972 + 10.3688i −1.34439 + 0.389408i −0.870930 0.491407i \(-0.836483\pi\)
−0.473462 + 0.880814i \(0.656996\pi\)
\(710\) 4.79969 1.82028i 0.180129 0.0683139i
\(711\) 0.623820 + 15.4799i 0.0233951 + 0.580543i
\(712\) 11.2254 + 8.43533i 0.420689 + 0.316127i
\(713\) 54.2314 11.0714i 2.03098 0.414628i
\(714\) −2.29126 + 1.20255i −0.0857483 + 0.0450042i
\(715\) 11.8526 9.13030i 0.443262 0.341454i
\(716\) 25.6016 + 13.4367i 0.956776 + 0.502155i
\(717\) 11.0048 + 3.18758i 0.410982 + 0.119042i
\(718\) 2.23400 0.180347i 0.0833720 0.00673048i
\(719\) 10.3798 50.8435i 0.387100 1.89614i −0.0537368 0.998555i \(-0.517113\pi\)
0.440837 0.897587i \(-0.354682\pi\)
\(720\) 2.85877 + 5.44694i 0.106540 + 0.202995i
\(721\) −4.63337 6.16590i −0.172556 0.229630i
\(722\) 2.09304 3.30987i 0.0778948 0.123181i
\(723\) −6.15928 + 4.25145i −0.229066 + 0.158113i
\(724\) −15.3210 + 32.2884i −0.569402 + 1.19999i
\(725\) 7.84861 8.17127i 0.291490 0.303473i
\(726\) −0.695616 0.668148i −0.0258167 0.0247973i
\(727\) 1.97809 + 16.2910i 0.0733631 + 0.604200i 0.982307 + 0.187280i \(0.0599672\pi\)
−0.908943 + 0.416920i \(0.863110\pi\)
\(728\) 4.57805 4.15450i 0.169674 0.153976i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) 0.113772 0.0928923i 0.00421091 0.00343810i
\(731\) 10.0960 + 49.4534i 0.373414 + 1.82910i
\(732\) 7.00334 + 24.1783i 0.258851 + 0.893657i
\(733\) 9.28149 + 37.6565i 0.342820 + 1.39087i 0.848976 + 0.528432i \(0.177220\pi\)
−0.506156 + 0.862442i \(0.668934\pi\)
\(734\) 0.243896 3.02120i 0.00900237 0.111514i
\(735\) −0.704820 4.33693i −0.0259977 0.159970i
\(736\) −12.4441 + 14.0464i −0.458694 + 0.517759i
\(737\) −23.0605 + 17.3288i −0.849443 + 0.638315i
\(738\) 0.334041 + 0.409125i 0.0122962 + 0.0150601i
\(739\) −4.43348 + 27.2803i −0.163088 + 1.00352i 0.768458 + 0.639900i \(0.221024\pi\)
−0.931547 + 0.363622i \(0.881540\pi\)
\(740\) 26.9798 + 6.64992i 0.991797 + 0.244456i
\(741\) 1.23941 1.03688i 0.0455309 0.0380907i
\(742\) 2.69199 0.663515i 0.0988259 0.0243584i
\(743\) −0.569123 7.04985i −0.0208791 0.258634i −0.998773 0.0495306i \(-0.984227\pi\)
0.977894 0.209104i \(-0.0670546\pi\)
\(744\) −5.59844 + 1.86903i −0.205249 + 0.0685221i
\(745\) −18.6369 19.4031i −0.682803 0.710873i
\(746\) 3.73578i 0.136777i
\(747\) −7.08108 + 6.80147i −0.259083 + 0.248853i
\(748\) −22.8410 18.6491i −0.835149 0.681878i
\(749\) −6.58796 + 12.5523i −0.240719 + 0.458651i
\(750\) 2.46678 0.400890i 0.0900739 0.0146384i
\(751\) −31.8265 + 20.1258i −1.16136 + 0.734402i −0.969034 0.246928i \(-0.920579\pi\)
−0.192330 + 0.981330i \(0.561604\pi\)
\(752\) 7.78431 3.69370i 0.283865 0.134695i
\(753\) 11.4166 16.5398i 0.416043 0.602743i
\(754\) 3.44836 1.35515i 0.125582 0.0493516i
\(755\) −13.7825 19.9673i −0.501595 0.726686i
\(756\) 3.52498 + 2.03515i 0.128202 + 0.0740176i
\(757\) 15.0603 + 31.7390i 0.547377 + 1.15357i 0.969059 + 0.246829i \(0.0793885\pi\)
−0.421682 + 0.906744i \(0.638560\pi\)
\(758\) 0.445605 + 0.148765i 0.0161851 + 0.00540339i
\(759\) −4.66857 + 18.9411i −0.169458 + 0.687519i
\(760\) 0.606849 0.0244552i 0.0220127 0.000887083i
\(761\) 2.28079 0.0919127i 0.0826786 0.00333183i 0.00110784 0.999999i \(-0.499647\pi\)
0.0815708 + 0.996668i \(0.474006\pi\)
\(762\) 0.454366 1.84343i 0.0164599 0.0667806i
\(763\) 5.97514 + 1.99479i 0.216315 + 0.0722164i
\(764\) −13.2424 27.9079i −0.479095 1.00967i
\(765\) 8.50227 + 4.90879i 0.307400 + 0.177478i
\(766\) −1.98196 2.87137i −0.0716113 0.103747i
\(767\) 25.0665 17.7482i 0.905100 0.640850i
\(768\) −7.18048 + 10.4027i −0.259103 + 0.375376i
\(769\) −40.0152 + 18.9875i −1.44299 + 0.684706i −0.979508 0.201403i \(-0.935450\pi\)
−0.463478 + 0.886108i \(0.653399\pi\)
\(770\) 1.51985 0.961092i 0.0547714 0.0346354i
\(771\) 0.458184 0.0744621i 0.0165011 0.00268169i
\(772\) 0.384862 0.733294i 0.0138515 0.0263918i