Properties

Label 230.3.i.a.19.7
Level $230$
Weight $3$
Character 230.19
Analytic conductor $6.267$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 230.i (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.26704608029\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.7
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28641 + 0.587486i) q^{2} +(0.271363 + 0.924178i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-2.58664 + 4.27894i) q^{5} +(-0.892026 - 1.02945i) q^{6} +(-1.64158 - 11.4174i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(6.79082 - 4.36419i) q^{9} +O(q^{10})\) \(q+(-1.28641 + 0.587486i) q^{2} +(0.271363 + 0.924178i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-2.58664 + 4.27894i) q^{5} +(-0.892026 - 1.02945i) q^{6} +(-1.64158 - 11.4174i) q^{7} +(-0.796860 + 2.71386i) q^{8} +(6.79082 - 4.36419i) q^{9} +(0.813673 - 7.02410i) q^{10} +(12.0406 + 5.49877i) q^{11} +(1.75230 + 0.800250i) q^{12} +(2.01624 + 0.289891i) q^{13} +(8.81932 + 13.7231i) q^{14} +(-4.65642 - 1.22937i) q^{15} +(-0.569259 - 3.95929i) q^{16} +(-1.75412 - 2.02436i) q^{17} +(-6.17190 + 9.60366i) q^{18} +(15.6925 + 13.5976i) q^{19} +(3.07984 + 9.51392i) q^{20} +(10.1063 - 4.61538i) q^{21} -18.7197 q^{22} +(14.0502 + 18.2097i) q^{23} -2.72432 q^{24} +(-11.6186 - 22.1361i) q^{25} +(-2.76403 + 0.811591i) q^{26} +(12.4275 + 10.7685i) q^{27} +(-19.4074 - 12.4724i) q^{28} +(-1.93917 - 2.23792i) q^{29} +(6.71231 - 1.15410i) q^{30} +(11.8816 + 3.48876i) q^{31} +(3.05833 + 4.75885i) q^{32} +(-1.81446 + 12.6198i) q^{33} +(3.44581 + 1.57365i) q^{34} +(53.1006 + 22.5085i) q^{35} +(2.29760 - 15.9802i) q^{36} +(51.5349 - 33.1195i) q^{37} +(-28.1754 - 8.27305i) q^{38} +(0.279222 + 1.94203i) q^{39} +(-9.55123 - 10.4295i) q^{40} +(49.8663 + 32.0471i) q^{41} +(-10.2894 + 11.8746i) q^{42} +(-13.5483 + 3.97814i) q^{43} +(24.0813 - 10.9975i) q^{44} +(1.10873 + 40.3461i) q^{45} +(-28.7723 - 15.1709i) q^{46} +0.939964i q^{47} +(3.50461 - 1.60050i) q^{48} +(-80.6477 + 23.6803i) q^{49} +(27.9510 + 21.6504i) q^{50} +(1.39487 - 2.17046i) q^{51} +(3.07888 - 2.66787i) q^{52} +(-3.93385 - 27.3605i) q^{53} +(-22.3132 - 6.55174i) q^{54} +(-54.6737 + 37.2978i) q^{55} +(32.2934 + 4.64308i) q^{56} +(-8.30825 + 18.1925i) q^{57} +(3.80932 + 1.73966i) q^{58} +(7.29514 - 50.7388i) q^{59} +(-7.95680 + 5.42804i) q^{60} +(17.4423 - 59.4029i) q^{61} +(-17.3343 + 2.49230i) q^{62} +(-60.9755 - 70.3695i) q^{63} +(-6.73003 - 4.32513i) q^{64} +(-6.45571 + 7.87752i) q^{65} +(-5.07983 - 17.3003i) q^{66} +(35.0404 + 76.7278i) q^{67} -5.35724 q^{68} +(-13.0162 + 17.9263i) q^{69} +(-81.5328 + 2.24056i) q^{70} +(-50.3124 - 110.169i) q^{71} +(6.43246 + 21.9069i) q^{72} +(-11.4700 - 9.93882i) q^{73} +(-46.8380 + 72.8814i) q^{74} +(17.3048 - 16.7446i) q^{75} +(41.1055 - 5.91008i) q^{76} +(43.0162 - 146.500i) q^{77} +(-1.50011 - 2.33422i) q^{78} +(-113.387 - 16.3026i) q^{79} +(18.4140 + 7.80541i) q^{80} +(23.6004 - 51.6777i) q^{81} +(-82.9759 - 11.9301i) q^{82} +(-41.8152 + 26.8730i) q^{83} +(6.26026 - 21.3205i) q^{84} +(13.1994 - 2.26948i) q^{85} +(15.0916 - 13.0770i) q^{86} +(1.54202 - 2.39943i) q^{87} +(-24.5176 + 28.2948i) q^{88} +(2.06946 + 7.04793i) q^{89} +(-25.1290 - 51.2504i) q^{90} -23.4961i q^{91} +(45.9257 + 2.61269i) q^{92} +11.9275i q^{93} +(-0.552215 - 1.20918i) q^{94} +(-98.7740 + 31.9750i) q^{95} +(-3.56811 + 4.11781i) q^{96} +(1.69018 + 1.08622i) q^{97} +(89.8345 - 77.8420i) q^{98} +(105.763 - 15.2065i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 48 q^{4} - 8 q^{6} + 96 q^{9} + O(q^{10}) \) \( 240 q + 48 q^{4} - 8 q^{6} + 96 q^{9} + 154 q^{15} - 96 q^{16} + 44 q^{20} + 16 q^{24} - 84 q^{25} + 32 q^{26} - 100 q^{29} - 352 q^{30} + 124 q^{31} + 28 q^{35} - 192 q^{36} + 72 q^{39} + 116 q^{41} - 148 q^{46} - 188 q^{49} + 144 q^{50} + 324 q^{54} + 796 q^{55} - 264 q^{56} + 400 q^{59} + 176 q^{60} - 616 q^{61} + 192 q^{64} + 462 q^{65} - 176 q^{66} + 120 q^{69} - 504 q^{70} + 464 q^{71} - 528 q^{74} - 934 q^{75} - 968 q^{79} - 264 q^{80} + 664 q^{81} - 352 q^{84} - 1196 q^{85} + 396 q^{86} + 376 q^{94} + 126 q^{95} - 32 q^{96} - 3300 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28641 + 0.587486i −0.643207 + 0.293743i
\(3\) 0.271363 + 0.924178i 0.0904544 + 0.308059i 0.992276 0.124049i \(-0.0395880\pi\)
−0.901822 + 0.432108i \(0.857770\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) −2.58664 + 4.27894i −0.517328 + 0.855788i
\(6\) −0.892026 1.02945i −0.148671 0.171576i
\(7\) −1.64158 11.4174i −0.234511 1.63106i −0.678198 0.734879i \(-0.737239\pi\)
0.443687 0.896182i \(-0.353670\pi\)
\(8\) −0.796860 + 2.71386i −0.0996075 + 0.339232i
\(9\) 6.79082 4.36419i 0.754535 0.484910i
\(10\) 0.813673 7.02410i 0.0813673 0.702410i
\(11\) 12.0406 + 5.49877i 1.09460 + 0.499888i 0.879111 0.476617i \(-0.158137\pi\)
0.215492 + 0.976506i \(0.430864\pi\)
\(12\) 1.75230 + 0.800250i 0.146025 + 0.0666875i
\(13\) 2.01624 + 0.289891i 0.155095 + 0.0222993i 0.219425 0.975629i \(-0.429582\pi\)
−0.0643297 + 0.997929i \(0.520491\pi\)
\(14\) 8.81932 + 13.7231i 0.629952 + 0.980224i
\(15\) −4.65642 1.22937i −0.310428 0.0819578i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) −1.75412 2.02436i −0.103184 0.119080i 0.701809 0.712365i \(-0.252376\pi\)
−0.804992 + 0.593285i \(0.797831\pi\)
\(18\) −6.17190 + 9.60366i −0.342883 + 0.533537i
\(19\) 15.6925 + 13.5976i 0.825920 + 0.715663i 0.961411 0.275115i \(-0.0887160\pi\)
−0.135492 + 0.990778i \(0.543261\pi\)
\(20\) 3.07984 + 9.51392i 0.153992 + 0.475696i
\(21\) 10.1063 4.61538i 0.481251 0.219780i
\(22\) −18.7197 −0.850895
\(23\) 14.0502 + 18.2097i 0.610879 + 0.791724i
\(24\) −2.72432 −0.113513
\(25\) −11.6186 22.1361i −0.464744 0.885445i
\(26\) −2.76403 + 0.811591i −0.106309 + 0.0312150i
\(27\) 12.4275 + 10.7685i 0.460276 + 0.398832i
\(28\) −19.4074 12.4724i −0.693123 0.445443i
\(29\) −1.93917 2.23792i −0.0668679 0.0771697i 0.721330 0.692592i \(-0.243531\pi\)
−0.788198 + 0.615422i \(0.788986\pi\)
\(30\) 6.71231 1.15410i 0.223744 0.0384701i
\(31\) 11.8816 + 3.48876i 0.383279 + 0.112541i 0.467695 0.883890i \(-0.345084\pi\)
−0.0844166 + 0.996431i \(0.526903\pi\)
\(32\) 3.05833 + 4.75885i 0.0955727 + 0.148714i
\(33\) −1.81446 + 12.6198i −0.0549836 + 0.382420i
\(34\) 3.44581 + 1.57365i 0.101347 + 0.0462838i
\(35\) 53.1006 + 22.5085i 1.51716 + 0.643101i
\(36\) 2.29760 15.9802i 0.0638223 0.443894i
\(37\) 51.5349 33.1195i 1.39284 0.895121i 0.393132 0.919482i \(-0.371391\pi\)
0.999703 + 0.0243610i \(0.00775511\pi\)
\(38\) −28.1754 8.27305i −0.741458 0.217712i
\(39\) 0.279222 + 1.94203i 0.00715953 + 0.0497956i
\(40\) −9.55123 10.4295i −0.238781 0.260737i
\(41\) 49.8663 + 32.0471i 1.21625 + 0.781637i 0.981694 0.190466i \(-0.0609997\pi\)
0.234557 + 0.972102i \(0.424636\pi\)
\(42\) −10.2894 + 11.8746i −0.244985 + 0.282728i
\(43\) −13.5483 + 3.97814i −0.315077 + 0.0925150i −0.435448 0.900214i \(-0.643410\pi\)
0.120371 + 0.992729i \(0.461592\pi\)
\(44\) 24.0813 10.9975i 0.547302 0.249944i
\(45\) 1.10873 + 40.3461i 0.0246384 + 0.896579i
\(46\) −28.7723 15.1709i −0.625485 0.329801i
\(47\) 0.939964i 0.0199992i 0.999950 + 0.00999961i \(0.00318303\pi\)
−0.999950 + 0.00999961i \(0.996817\pi\)
\(48\) 3.50461 1.60050i 0.0730127 0.0333438i
\(49\) −80.6477 + 23.6803i −1.64587 + 0.483271i
\(50\) 27.9510 + 21.6504i 0.559020 + 0.433009i
\(51\) 1.39487 2.17046i 0.0273504 0.0425580i
\(52\) 3.07888 2.66787i 0.0592093 0.0513051i
\(53\) −3.93385 27.3605i −0.0742236 0.516237i −0.992686 0.120727i \(-0.961477\pi\)
0.918462 0.395509i \(-0.129432\pi\)
\(54\) −22.3132 6.55174i −0.413207 0.121329i
\(55\) −54.6737 + 37.2978i −0.994067 + 0.678142i
\(56\) 32.2934 + 4.64308i 0.576667 + 0.0829122i
\(57\) −8.30825 + 18.1925i −0.145759 + 0.319167i
\(58\) 3.80932 + 1.73966i 0.0656779 + 0.0299941i
\(59\) 7.29514 50.7388i 0.123646 0.859979i −0.829723 0.558175i \(-0.811502\pi\)
0.953370 0.301805i \(-0.0975890\pi\)
\(60\) −7.95680 + 5.42804i −0.132613 + 0.0904674i
\(61\) 17.4423 59.4029i 0.285939 0.973818i −0.683799 0.729670i \(-0.739674\pi\)
0.969738 0.244148i \(-0.0785081\pi\)
\(62\) −17.3343 + 2.49230i −0.279585 + 0.0401983i
\(63\) −60.9755 70.3695i −0.967865 1.11698i
\(64\) −6.73003 4.32513i −0.105157 0.0675801i
\(65\) −6.45571 + 7.87752i −0.0993186 + 0.121193i
\(66\) −5.07983 17.3003i −0.0769671 0.262126i
\(67\) 35.0404 + 76.7278i 0.522991 + 1.14519i 0.968295 + 0.249811i \(0.0803686\pi\)
−0.445303 + 0.895380i \(0.646904\pi\)
\(68\) −5.35724 −0.0787829
\(69\) −13.0162 + 17.9263i −0.188641 + 0.259802i
\(70\) −81.5328 + 2.24056i −1.16475 + 0.0320080i
\(71\) −50.3124 110.169i −0.708625 1.55167i −0.829190 0.558966i \(-0.811198\pi\)
0.120566 0.992705i \(-0.461529\pi\)
\(72\) 6.43246 + 21.9069i 0.0893397 + 0.304263i
\(73\) −11.4700 9.93882i −0.157123 0.136148i 0.572751 0.819729i \(-0.305876\pi\)
−0.729875 + 0.683581i \(0.760422\pi\)
\(74\) −46.8380 + 72.8814i −0.632946 + 0.984883i
\(75\) 17.3048 16.7446i 0.230731 0.223261i
\(76\) 41.1055 5.91008i 0.540862 0.0777643i
\(77\) 43.0162 146.500i 0.558652 1.90259i
\(78\) −1.50011 2.33422i −0.0192322 0.0299258i
\(79\) −113.387 16.3026i −1.43528 0.206362i −0.619625 0.784898i \(-0.712715\pi\)
−0.815657 + 0.578536i \(0.803624\pi\)
\(80\) 18.4140 + 7.80541i 0.230175 + 0.0975677i
\(81\) 23.6004 51.6777i 0.291363 0.637996i
\(82\) −82.9759 11.9301i −1.01190 0.145489i
\(83\) −41.8152 + 26.8730i −0.503797 + 0.323771i −0.767734 0.640769i \(-0.778616\pi\)
0.263936 + 0.964540i \(0.414979\pi\)
\(84\) 6.26026 21.3205i 0.0745269 0.253815i
\(85\) 13.1994 2.26948i 0.155287 0.0266998i
\(86\) 15.0916 13.0770i 0.175484 0.152058i
\(87\) 1.54202 2.39943i 0.0177243 0.0275796i
\(88\) −24.5176 + 28.2948i −0.278609 + 0.321532i
\(89\) 2.06946 + 7.04793i 0.0232523 + 0.0791902i 0.970302 0.241897i \(-0.0777698\pi\)
−0.947049 + 0.321088i \(0.895952\pi\)
\(90\) −25.1290 51.2504i −0.279211 0.569449i
\(91\) 23.4961i 0.258199i
\(92\) 45.9257 + 2.61269i 0.499193 + 0.0283988i
\(93\) 11.9275i 0.128252i
\(94\) −0.552215 1.20918i −0.00587463 0.0128636i
\(95\) −98.7740 + 31.9750i −1.03973 + 0.336579i
\(96\) −3.56811 + 4.11781i −0.0371678 + 0.0428939i
\(97\) 1.69018 + 1.08622i 0.0174246 + 0.0111981i 0.549324 0.835609i \(-0.314885\pi\)
−0.531900 + 0.846807i \(0.678522\pi\)
\(98\) 89.8345 77.8420i 0.916678 0.794306i
\(99\) 105.763 15.2065i 1.06832 0.153601i
\(100\) −48.6759 11.4306i −0.486759 0.114306i
\(101\) 54.3485 34.9276i 0.538104 0.345818i −0.243193 0.969978i \(-0.578195\pi\)
0.781297 + 0.624160i \(0.214559\pi\)
\(102\) −0.519266 + 3.61157i −0.00509084 + 0.0354076i
\(103\) −48.4776 + 106.151i −0.470656 + 1.03059i 0.514271 + 0.857628i \(0.328062\pi\)
−0.984928 + 0.172966i \(0.944665\pi\)
\(104\) −2.39338 + 5.24078i −0.0230133 + 0.0503921i
\(105\) −6.39234 + 55.1824i −0.0608794 + 0.525547i
\(106\) 21.1345 + 32.8859i 0.199382 + 0.310244i
\(107\) −121.078 35.5516i −1.13157 0.332258i −0.338243 0.941059i \(-0.609833\pi\)
−0.793323 + 0.608801i \(0.791651\pi\)
\(108\) 32.5530 4.68042i 0.301417 0.0433372i
\(109\) −110.525 + 95.7707i −1.01399 + 0.878630i −0.992635 0.121141i \(-0.961345\pi\)
−0.0213583 + 0.999772i \(0.506799\pi\)
\(110\) 48.4210 80.1004i 0.440191 0.728185i
\(111\) 44.5930 + 38.6400i 0.401738 + 0.348108i
\(112\) −44.2704 + 12.9990i −0.395271 + 0.116062i
\(113\) 84.3000 + 184.591i 0.746018 + 1.63355i 0.773394 + 0.633926i \(0.218558\pi\)
−0.0273756 + 0.999625i \(0.508715\pi\)
\(114\) 28.2841i 0.248106i
\(115\) −114.261 + 13.0182i −0.993572 + 0.113202i
\(116\) −5.92239 −0.0510551
\(117\) 14.9571 6.83066i 0.127838 0.0583817i
\(118\) 20.4237 + 69.5569i 0.173083 + 0.589465i
\(119\) −20.2335 + 23.3507i −0.170029 + 0.196224i
\(120\) 7.04684 11.6572i 0.0587236 0.0971434i
\(121\) 35.5022 + 40.9717i 0.293407 + 0.338609i
\(122\) 12.4604 + 86.6637i 0.102134 + 0.710359i
\(123\) −16.0854 + 54.7817i −0.130775 + 0.445380i
\(124\) 20.8349 13.3898i 0.168023 0.107982i
\(125\) 124.772 + 7.54281i 0.998178 + 0.0603424i
\(126\) 119.781 + 54.7020i 0.950641 + 0.434143i
\(127\) 43.8674 + 20.0336i 0.345412 + 0.157745i 0.580565 0.814214i \(-0.302832\pi\)
−0.235153 + 0.971958i \(0.575559\pi\)
\(128\) 11.1986 + 1.61011i 0.0874887 + 0.0125790i
\(129\) −7.35302 11.4415i −0.0570002 0.0886940i
\(130\) 3.67678 13.9264i 0.0282830 0.107126i
\(131\) 5.20743 + 36.2184i 0.0397513 + 0.276477i 0.999996 0.00268175i \(-0.000853630\pi\)
−0.960245 + 0.279158i \(0.909945\pi\)
\(132\) 16.6985 + 19.2710i 0.126503 + 0.145993i
\(133\) 129.489 201.489i 0.973603 1.51496i
\(134\) −90.1530 78.1180i −0.672783 0.582970i
\(135\) −78.2229 + 25.3222i −0.579429 + 0.187572i
\(136\) 6.89162 3.14730i 0.0506737 0.0231419i
\(137\) −6.17181 −0.0450497 −0.0225248 0.999746i \(-0.507170\pi\)
−0.0225248 + 0.999746i \(0.507170\pi\)
\(138\) 6.21283 30.7075i 0.0450205 0.222518i
\(139\) 179.413 1.29074 0.645372 0.763868i \(-0.276702\pi\)
0.645372 + 0.763868i \(0.276702\pi\)
\(140\) 103.569 50.7816i 0.739776 0.362726i
\(141\) −0.868693 + 0.255071i −0.00616095 + 0.00180902i
\(142\) 129.445 + 112.165i 0.911585 + 0.789893i
\(143\) 22.6828 + 14.5773i 0.158621 + 0.101939i
\(144\) −21.1448 24.4024i −0.146839 0.169461i
\(145\) 14.5919 2.50890i 0.100633 0.0173027i
\(146\) 20.5941 + 6.04697i 0.141055 + 0.0414176i
\(147\) −43.7696 68.1068i −0.297752 0.463312i
\(148\) 17.4363 121.272i 0.117813 0.819407i
\(149\) −65.6183 29.9669i −0.440391 0.201120i 0.182864 0.983138i \(-0.441463\pi\)
−0.623256 + 0.782018i \(0.714190\pi\)
\(150\) −12.4240 + 31.7068i −0.0828266 + 0.211379i
\(151\) 10.8164 75.2300i 0.0716321 0.498212i −0.922147 0.386840i \(-0.873566\pi\)
0.993779 0.111372i \(-0.0355245\pi\)
\(152\) −49.4066 + 31.7517i −0.325044 + 0.208893i
\(153\) −20.7466 6.09176i −0.135599 0.0398154i
\(154\) 30.7298 + 213.731i 0.199544 + 1.38786i
\(155\) −45.6617 + 41.8166i −0.294592 + 0.269785i
\(156\) 3.30108 + 2.12147i 0.0211608 + 0.0135992i
\(157\) 181.582 209.557i 1.15657 1.33476i 0.223654 0.974669i \(-0.428201\pi\)
0.932918 0.360088i \(-0.117253\pi\)
\(158\) 155.441 45.6415i 0.983801 0.288870i
\(159\) 24.2185 11.0602i 0.152318 0.0695611i
\(160\) −28.2736 + 0.776971i −0.176710 + 0.00485607i
\(161\) 184.843 190.310i 1.14809 1.18205i
\(162\) 80.3438i 0.495950i
\(163\) −153.009 + 69.8769i −0.938705 + 0.428692i −0.825197 0.564845i \(-0.808936\pi\)
−0.113508 + 0.993537i \(0.536209\pi\)
\(164\) 113.750 33.4000i 0.693598 0.203659i
\(165\) −49.3062 40.4069i −0.298825 0.244891i
\(166\) 38.0041 59.1356i 0.228941 0.356239i
\(167\) −167.604 + 145.230i −1.00362 + 0.869639i −0.991476 0.130287i \(-0.958410\pi\)
−0.0121410 + 0.999926i \(0.503865\pi\)
\(168\) 4.47219 + 31.1048i 0.0266202 + 0.185147i
\(169\) −158.173 46.4438i −0.935936 0.274816i
\(170\) −15.6466 + 10.6740i −0.0920389 + 0.0627879i
\(171\) 165.907 + 23.8539i 0.970218 + 0.139496i
\(172\) −11.7316 + 25.6885i −0.0682067 + 0.149352i
\(173\) 25.6211 + 11.7008i 0.148099 + 0.0676346i 0.488086 0.872796i \(-0.337695\pi\)
−0.339987 + 0.940430i \(0.610423\pi\)
\(174\) −0.574045 + 3.99257i −0.00329911 + 0.0229458i
\(175\) −233.665 + 168.993i −1.33523 + 0.965673i
\(176\) 14.9170 50.8025i 0.0847555 0.288651i
\(177\) 48.8713 7.02663i 0.276109 0.0396985i
\(178\) −6.80274 7.85078i −0.0382176 0.0441055i
\(179\) 194.715 + 125.136i 1.08779 + 0.699083i 0.956345 0.292240i \(-0.0944008\pi\)
0.131449 + 0.991323i \(0.458037\pi\)
\(180\) 62.4352 + 51.1663i 0.346862 + 0.284257i
\(181\) 25.4144 + 86.5535i 0.140411 + 0.478196i 0.999430 0.0337468i \(-0.0107440\pi\)
−0.859019 + 0.511943i \(0.828926\pi\)
\(182\) 13.8036 + 30.2258i 0.0758442 + 0.166076i
\(183\) 59.6320 0.325858
\(184\) −60.6144 + 23.6197i −0.329426 + 0.128368i
\(185\) 8.41403 + 306.183i 0.0454813 + 1.65504i
\(186\) −7.00721 15.3437i −0.0376732 0.0824928i
\(187\) −9.98922 34.0201i −0.0534183 0.181926i
\(188\) 1.42075 + 1.23109i 0.00755720 + 0.00654835i
\(189\) 102.547 159.567i 0.542579 0.844270i
\(190\) 108.279 99.1615i 0.569892 0.521902i
\(191\) 56.7335 8.15704i 0.297034 0.0427070i 0.00781319 0.999969i \(-0.497513\pi\)
0.289221 + 0.957262i \(0.406604\pi\)
\(192\) 2.17090 7.39342i 0.0113068 0.0385074i
\(193\) −201.227 313.115i −1.04263 1.62236i −0.744242 0.667910i \(-0.767189\pi\)
−0.298383 0.954446i \(-0.596447\pi\)
\(194\) −2.81241 0.404364i −0.0144970 0.00208435i
\(195\) −9.03207 3.82855i −0.0463183 0.0196336i
\(196\) −69.8333 + 152.914i −0.356292 + 0.780171i
\(197\) −232.952 33.4934i −1.18250 0.170017i −0.477112 0.878842i \(-0.658316\pi\)
−0.705384 + 0.708825i \(0.749226\pi\)
\(198\) −127.122 + 81.6963i −0.642030 + 0.412608i
\(199\) −95.0318 + 323.648i −0.477547 + 1.62637i 0.270494 + 0.962722i \(0.412813\pi\)
−0.748041 + 0.663653i \(0.769005\pi\)
\(200\) 69.3327 13.8919i 0.346663 0.0694593i
\(201\) −61.4015 + 53.2047i −0.305480 + 0.264700i
\(202\) −49.3951 + 76.8603i −0.244530 + 0.380497i
\(203\) −22.3680 + 25.8140i −0.110187 + 0.127163i
\(204\) −1.45376 4.95104i −0.00712625 0.0242698i
\(205\) −266.114 + 130.480i −1.29811 + 0.636490i
\(206\) 165.034i 0.801137i
\(207\) 174.883 + 62.3406i 0.844845 + 0.301162i
\(208\) 8.14789i 0.0391726i
\(209\) 114.177 + 250.013i 0.546302 + 1.19623i
\(210\) −24.1957 74.7428i −0.115217 0.355918i
\(211\) −76.9459 + 88.8003i −0.364673 + 0.420855i −0.908200 0.418537i \(-0.862543\pi\)
0.543527 + 0.839392i \(0.317089\pi\)
\(212\) −46.5077 29.8887i −0.219376 0.140984i
\(213\) 88.1625 76.3933i 0.413909 0.358654i
\(214\) 176.642 25.3973i 0.825429 0.118679i
\(215\) 18.0223 68.2624i 0.0838249 0.317500i
\(216\) −39.1270 + 25.1454i −0.181144 + 0.116414i
\(217\) 20.3281 141.385i 0.0936777 0.651543i
\(218\) 85.9174 188.133i 0.394116 0.862994i
\(219\) 6.07270 13.2974i 0.0277292 0.0607185i
\(220\) −15.2317 + 131.489i −0.0692350 + 0.597677i
\(221\) −2.94988 4.59011i −0.0133479 0.0207697i
\(222\) −80.0654 23.5093i −0.360655 0.105898i
\(223\) 195.585 28.1209i 0.877064 0.126103i 0.310947 0.950427i \(-0.399354\pi\)
0.566118 + 0.824324i \(0.308445\pi\)
\(224\) 49.3133 42.7302i 0.220149 0.190760i
\(225\) −175.506 99.6165i −0.780027 0.442740i
\(226\) −216.889 187.936i −0.959688 0.831574i
\(227\) −70.7509 + 20.7743i −0.311678 + 0.0915169i −0.433831 0.900994i \(-0.642838\pi\)
0.122153 + 0.992511i \(0.461020\pi\)
\(228\) 16.6165 + 36.3850i 0.0728794 + 0.159584i
\(229\) 236.743i 1.03381i −0.856042 0.516906i \(-0.827084\pi\)
0.856042 0.516906i \(-0.172916\pi\)
\(230\) 139.339 83.8734i 0.605820 0.364667i
\(231\) 147.065 0.636644
\(232\) 7.61864 3.47932i 0.0328390 0.0149971i
\(233\) −78.9598 268.912i −0.338883 1.15413i −0.936007 0.351981i \(-0.885508\pi\)
0.597124 0.802149i \(-0.296310\pi\)
\(234\) −15.2280 + 17.5741i −0.0650771 + 0.0751030i
\(235\) −4.02205 2.43134i −0.0171151 0.0103461i
\(236\) −67.1370 77.4803i −0.284479 0.328306i
\(237\) −15.7026 109.214i −0.0662557 0.460818i
\(238\) 12.3105 41.9256i 0.0517246 0.176158i
\(239\) 139.705 89.7827i 0.584538 0.375660i −0.214695 0.976681i \(-0.568876\pi\)
0.799233 + 0.601021i \(0.205239\pi\)
\(240\) −2.21671 + 19.1359i −0.00923628 + 0.0797330i
\(241\) −111.289 50.8240i −0.461781 0.210888i 0.170920 0.985285i \(-0.445326\pi\)
−0.632700 + 0.774397i \(0.718053\pi\)
\(242\) −69.7408 31.8496i −0.288185 0.131610i
\(243\) 200.652 + 28.8494i 0.825730 + 0.118722i
\(244\) −66.9429 104.165i −0.274356 0.426906i
\(245\) 107.280 406.339i 0.437877 1.65853i
\(246\) −11.4910 79.9219i −0.0467115 0.324886i
\(247\) 27.6980 + 31.9651i 0.112137 + 0.129414i
\(248\) −18.9360 + 29.4650i −0.0763548 + 0.118810i
\(249\) −36.1825 31.3523i −0.145311 0.125913i
\(250\) −164.940 + 63.5987i −0.659760 + 0.254395i
\(251\) −432.209 + 197.383i −1.72195 + 0.786388i −0.726928 + 0.686713i \(0.759053\pi\)
−0.995020 + 0.0996742i \(0.968220\pi\)
\(252\) −186.224 −0.738985
\(253\) 69.0427 + 296.515i 0.272896 + 1.17199i
\(254\) −68.2010 −0.268508
\(255\) 5.67923 + 11.5827i 0.0222715 + 0.0454225i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) 178.968 + 155.077i 0.696373 + 0.603411i 0.929406 0.369058i \(-0.120320\pi\)
−0.233033 + 0.972469i \(0.574865\pi\)
\(258\) 16.1808 + 10.3987i 0.0627161 + 0.0403052i
\(259\) −462.738 534.028i −1.78663 2.06188i
\(260\) 3.45168 + 20.0752i 0.0132757 + 0.0772121i
\(261\) −22.9353 6.73440i −0.0878746 0.0258023i
\(262\) −27.9767 43.5326i −0.106781 0.166155i
\(263\) −56.7870 + 394.962i −0.215920 + 1.50176i 0.536965 + 0.843605i \(0.319571\pi\)
−0.752885 + 0.658152i \(0.771338\pi\)
\(264\) −32.8026 14.9804i −0.124252 0.0567441i
\(265\) 127.249 + 53.9391i 0.480187 + 0.203544i
\(266\) −48.2048 + 335.272i −0.181221 + 1.26042i
\(267\) −5.95196 + 3.82510i −0.0222920 + 0.0143262i
\(268\) 161.867 + 47.5285i 0.603982 + 0.177345i
\(269\) 54.7293 + 380.650i 0.203455 + 1.41506i 0.793934 + 0.608004i \(0.208030\pi\)
−0.590479 + 0.807053i \(0.701061\pi\)
\(270\) 85.7506 78.5297i 0.317595 0.290851i
\(271\) −290.759 186.860i −1.07291 0.689519i −0.120003 0.992773i \(-0.538291\pi\)
−0.952910 + 0.303254i \(0.901927\pi\)
\(272\) −7.01649 + 8.09746i −0.0257959 + 0.0297701i
\(273\) 21.7146 6.37599i 0.0795407 0.0233553i
\(274\) 7.93950 3.62585i 0.0289763 0.0132330i
\(275\) −18.1739 330.421i −0.0660871 1.20153i
\(276\) 10.0480 + 43.1525i 0.0364057 + 0.156350i
\(277\) 51.2192i 0.184907i −0.995717 0.0924534i \(-0.970529\pi\)
0.995717 0.0924534i \(-0.0294709\pi\)
\(278\) −230.800 + 105.403i −0.830216 + 0.379147i
\(279\) 95.9116 28.1622i 0.343769 0.100940i
\(280\) −103.399 + 126.171i −0.369281 + 0.450612i
\(281\) −156.718 + 243.858i −0.557714 + 0.867821i −0.999572 0.0292647i \(-0.990683\pi\)
0.441857 + 0.897085i \(0.354320\pi\)
\(282\) 0.967648 0.838472i 0.00343138 0.00297331i
\(283\) 69.3245 + 482.162i 0.244963 + 1.70375i 0.626517 + 0.779408i \(0.284480\pi\)
−0.381554 + 0.924346i \(0.624611\pi\)
\(284\) −232.415 68.2432i −0.818363 0.240293i
\(285\) −56.3542 82.6079i −0.197734 0.289852i
\(286\) −37.7434 5.42668i −0.131970 0.0189744i
\(287\) 284.036 621.952i 0.989673 2.16708i
\(288\) 41.5371 + 18.9693i 0.144226 + 0.0658658i
\(289\) 40.1079 278.956i 0.138782 0.965247i
\(290\) −17.2972 + 11.8000i −0.0596456 + 0.0406896i
\(291\) −0.545203 + 1.85679i −0.00187355 + 0.00638072i
\(292\) −30.0450 + 4.31983i −0.102894 + 0.0147939i
\(293\) −37.9857 43.8378i −0.129644 0.149617i 0.687216 0.726453i \(-0.258833\pi\)
−0.816860 + 0.576836i \(0.804287\pi\)
\(294\) 96.3176 + 61.8996i 0.327611 + 0.210543i
\(295\) 198.238 + 162.458i 0.671994 + 0.550706i
\(296\) 48.8154 + 166.250i 0.164917 + 0.561655i
\(297\) 90.4212 + 197.995i 0.304449 + 0.666649i
\(298\) 102.017 0.342340
\(299\) 23.0498 + 40.7881i 0.0770895 + 0.136415i
\(300\) −2.64490 48.0870i −0.00881634 0.160290i
\(301\) 67.6608 + 148.156i 0.224787 + 0.492214i
\(302\) 30.2821 + 103.131i 0.100272 + 0.341495i
\(303\) 47.0275 + 40.7496i 0.155206 + 0.134487i
\(304\) 44.9037 69.8715i 0.147710 0.229841i
\(305\) 209.064 + 228.288i 0.685457 + 0.748485i
\(306\) 30.2676 4.35182i 0.0989136 0.0142216i
\(307\) 162.520 553.491i 0.529380 1.80290i −0.0639619 0.997952i \(-0.520374\pi\)
0.593342 0.804951i \(-0.297808\pi\)
\(308\) −165.095 256.893i −0.536023 0.834067i
\(309\) −111.258 15.9964i −0.360057 0.0517684i
\(310\) 34.1732 80.6191i 0.110236 0.260061i
\(311\) 75.9925 166.400i 0.244349 0.535049i −0.747228 0.664568i \(-0.768616\pi\)
0.991577 + 0.129518i \(0.0413431\pi\)
\(312\) −5.49289 0.789758i −0.0176054 0.00253128i
\(313\) −122.962 + 79.0227i −0.392849 + 0.252469i −0.722121 0.691766i \(-0.756833\pi\)
0.329273 + 0.944235i \(0.393196\pi\)
\(314\) −110.478 + 376.253i −0.351841 + 1.19826i
\(315\) 458.828 78.8900i 1.45660 0.250444i
\(316\) −173.147 + 150.033i −0.547934 + 0.474788i
\(317\) −178.633 + 277.959i −0.563512 + 0.876841i −0.999736 0.0229969i \(-0.992679\pi\)
0.436224 + 0.899838i \(0.356316\pi\)
\(318\) −24.6573 + 28.4560i −0.0775387 + 0.0894844i
\(319\) −11.0430 37.6090i −0.0346176 0.117897i
\(320\) 35.9151 17.6098i 0.112235 0.0550307i
\(321\) 121.545i 0.378644i
\(322\) −125.980 + 353.410i −0.391243 + 1.09755i
\(323\) 55.6191i 0.172195i
\(324\) −47.2008 103.355i −0.145682 0.318998i
\(325\) −17.0088 47.9999i −0.0523349 0.147692i
\(326\) 155.781 179.781i 0.477857 0.551476i
\(327\) −118.502 76.1564i −0.362390 0.232894i
\(328\) −126.708 + 109.793i −0.386304 + 0.334734i
\(329\) 10.7320 1.54302i 0.0326200 0.00469004i
\(330\) 87.1667 + 23.0134i 0.264141 + 0.0697375i
\(331\) −390.337 + 250.854i −1.17927 + 0.757868i −0.975251 0.221100i \(-0.929035\pi\)
−0.204014 + 0.978968i \(0.565399\pi\)
\(332\) −14.1477 + 98.3998i −0.0426137 + 0.296385i
\(333\) 205.424 449.816i 0.616890 1.35080i
\(334\) 130.288 285.291i 0.390083 0.854163i
\(335\) −418.950 48.5313i −1.25060 0.144870i
\(336\) −24.0267 37.3863i −0.0715080 0.111269i
\(337\) 568.246 + 166.852i 1.68619 + 0.495110i 0.977593 0.210505i \(-0.0675107\pi\)
0.708596 + 0.705614i \(0.249329\pi\)
\(338\) 230.761 33.1784i 0.682725 0.0981611i
\(339\) −147.719 + 127.999i −0.435750 + 0.377580i
\(340\) 13.8572 22.9233i 0.0407565 0.0674214i
\(341\) 123.879 + 107.341i 0.363280 + 0.314784i
\(342\) −227.439 + 66.7822i −0.665027 + 0.195269i
\(343\) 167.962 + 367.786i 0.489685 + 1.07226i
\(344\) 39.9382i 0.116099i
\(345\) −43.0373 102.065i −0.124746 0.295839i
\(346\) −39.8334 −0.115126
\(347\) −245.910 + 112.303i −0.708675 + 0.323641i −0.736939 0.675960i \(-0.763729\pi\)
0.0282640 + 0.999600i \(0.491002\pi\)
\(348\) −1.60712 5.47334i −0.00461815 0.0157280i
\(349\) −279.421 + 322.469i −0.800634 + 0.923981i −0.998416 0.0562649i \(-0.982081\pi\)
0.197782 + 0.980246i \(0.436626\pi\)
\(350\) 201.309 354.669i 0.575168 1.01334i
\(351\) 21.9351 + 25.3144i 0.0624931 + 0.0721208i
\(352\) 10.6564 + 74.1166i 0.0302737 + 0.210558i
\(353\) −24.5588 + 83.6397i −0.0695717 + 0.236940i −0.986937 0.161107i \(-0.948494\pi\)
0.917365 + 0.398047i \(0.130312\pi\)
\(354\) −58.7407 + 37.7503i −0.165934 + 0.106639i
\(355\) 601.545 + 69.6830i 1.69449 + 0.196290i
\(356\) 13.3634 + 6.10284i 0.0375375 + 0.0171428i
\(357\) −27.0708 12.3628i −0.0758286 0.0346298i
\(358\) −324.000 46.5841i −0.905027 0.130123i
\(359\) −183.462 285.472i −0.511035 0.795186i 0.485851 0.874042i \(-0.338510\pi\)
−0.996886 + 0.0788556i \(0.974873\pi\)
\(360\) −110.377 29.1412i −0.306602 0.0809479i
\(361\) 9.98318 + 69.4346i 0.0276542 + 0.192339i
\(362\) −83.5424 96.4131i −0.230780 0.266334i
\(363\) −28.2312 + 43.9285i −0.0777718 + 0.121015i
\(364\) −35.5144 30.7734i −0.0975670 0.0845423i
\(365\) 72.1964 23.3713i 0.197798 0.0640311i
\(366\) −76.7114 + 35.0329i −0.209594 + 0.0957184i
\(367\) −158.090 −0.430764 −0.215382 0.976530i \(-0.569100\pi\)
−0.215382 + 0.976530i \(0.569100\pi\)
\(368\) 64.0990 65.9948i 0.174182 0.179334i
\(369\) 478.492 1.29673
\(370\) −190.702 388.935i −0.515410 1.05117i
\(371\) −305.929 + 89.8289i −0.824607 + 0.242126i
\(372\) 18.0284 + 15.6217i 0.0484633 + 0.0419937i
\(373\) −570.616 366.712i −1.52980 0.983143i −0.989956 0.141379i \(-0.954846\pi\)
−0.539845 0.841764i \(-0.681517\pi\)
\(374\) 32.8366 + 37.8955i 0.0877984 + 0.101325i
\(375\) 26.8877 + 117.359i 0.0717005 + 0.312956i
\(376\) −2.55093 0.749019i −0.00678438 0.00199207i
\(377\) −3.26108 5.07433i −0.00865007 0.0134598i
\(378\) −38.1752 + 265.514i −0.100993 + 0.702419i
\(379\) 294.348 + 134.424i 0.776644 + 0.354681i 0.763981 0.645238i \(-0.223242\pi\)
0.0126628 + 0.999920i \(0.495969\pi\)
\(380\) −81.0362 + 191.175i −0.213253 + 0.503093i
\(381\) −6.61058 + 45.9776i −0.0173506 + 0.120676i
\(382\) −68.1906 + 43.8234i −0.178509 + 0.114721i
\(383\) −436.582 128.192i −1.13990 0.334705i −0.343310 0.939222i \(-0.611548\pi\)
−0.796592 + 0.604517i \(0.793366\pi\)
\(384\) 1.55085 + 10.7864i 0.00403866 + 0.0280895i
\(385\) 515.596 + 563.005i 1.33921 + 1.46235i
\(386\) 442.811 + 284.577i 1.14718 + 0.737247i
\(387\) −74.6427 + 86.1423i −0.192875 + 0.222590i
\(388\) 3.85549 1.13207i 0.00993682 0.00291771i
\(389\) 576.199 263.141i 1.48123 0.676456i 0.499428 0.866355i \(-0.333544\pi\)
0.981804 + 0.189900i \(0.0608162\pi\)
\(390\) 13.8682 0.381104i 0.0355595 0.000977190i
\(391\) 12.2172 60.3847i 0.0312460 0.154437i
\(392\) 237.736i 0.606470i
\(393\) −32.0592 + 14.6409i −0.0815755 + 0.0372543i
\(394\) 319.349 93.7694i 0.810531 0.237993i
\(395\) 363.050 443.008i 0.919113 1.12154i
\(396\) 115.536 179.778i 0.291758 0.453984i
\(397\) 461.769 400.125i 1.16315 1.00787i 0.163373 0.986564i \(-0.447762\pi\)
0.999773 0.0213077i \(-0.00678298\pi\)
\(398\) −67.8886 472.176i −0.170574 1.18637i
\(399\) 221.350 + 64.9943i 0.554763 + 0.162893i
\(400\) −81.0292 + 58.6026i −0.202573 + 0.146507i
\(401\) −272.011 39.1093i −0.678332 0.0975295i −0.205467 0.978664i \(-0.565871\pi\)
−0.472865 + 0.881135i \(0.656780\pi\)
\(402\) 47.7307 104.516i 0.118733 0.259989i
\(403\) 22.9449 + 10.4786i 0.0569351 + 0.0260014i
\(404\) 18.3883 127.893i 0.0455155 0.316567i
\(405\) 160.080 + 234.656i 0.395259 + 0.579398i
\(406\) 13.6091 46.3484i 0.0335200 0.114159i
\(407\) 802.629 115.401i 1.97206 0.283540i
\(408\) 4.77879 + 5.51502i 0.0117127 + 0.0135172i
\(409\) 249.811 + 160.544i 0.610784 + 0.392527i 0.809151 0.587601i \(-0.199927\pi\)
−0.198367 + 0.980128i \(0.563564\pi\)
\(410\) 265.677 324.190i 0.647992 0.790707i
\(411\) −1.67480 5.70384i −0.00407494 0.0138780i
\(412\) 96.9552 + 212.302i 0.235328 + 0.515297i
\(413\) −591.282 −1.43168
\(414\) −261.596 + 22.5454i −0.631874 + 0.0544574i
\(415\) −6.82711 248.435i −0.0164509 0.598639i
\(416\) 4.78677 + 10.4816i 0.0115067 + 0.0251961i
\(417\) 48.6862 + 165.810i 0.116753 + 0.397626i
\(418\) −293.758 254.543i −0.702771 0.608954i
\(419\) −409.243 + 636.795i −0.976714 + 1.51980i −0.127439 + 0.991846i \(0.540676\pi\)
−0.849275 + 0.527950i \(0.822961\pi\)
\(420\) 75.0360 + 81.9356i 0.178657 + 0.195085i
\(421\) −80.2016 + 11.5313i −0.190503 + 0.0273902i −0.236906 0.971533i \(-0.576133\pi\)
0.0464030 + 0.998923i \(0.485224\pi\)
\(422\) 46.8154 159.439i 0.110937 0.377817i
\(423\) 4.10218 + 6.38312i 0.00969783 + 0.0150901i
\(424\) 77.3873 + 11.1266i 0.182517 + 0.0262420i
\(425\) −24.4311 + 62.3498i −0.0574850 + 0.146705i
\(426\) −68.5336 + 150.068i −0.160877 + 0.352271i
\(427\) −706.861 101.631i −1.65541 0.238012i
\(428\) −212.314 + 136.446i −0.496061 + 0.318799i
\(429\) −7.31677 + 24.9186i −0.0170554 + 0.0580854i
\(430\) 16.9190 + 98.4016i 0.0393465 + 0.228841i
\(431\) 272.195 235.858i 0.631542 0.547234i −0.279188 0.960236i \(-0.590065\pi\)
0.910730 + 0.413002i \(0.135520\pi\)
\(432\) 35.5610 55.3339i 0.0823170 0.128088i
\(433\) 417.345 481.641i 0.963844 1.11234i −0.0297758 0.999557i \(-0.509479\pi\)
0.993620 0.112779i \(-0.0359752\pi\)
\(434\) 56.9112 + 193.822i 0.131132 + 0.446594i
\(435\) 6.27835 + 12.8046i 0.0144330 + 0.0294360i
\(436\) 292.492i 0.670853i
\(437\) −27.1251 + 476.804i −0.0620711 + 1.09108i
\(438\) 20.6735i 0.0471999i
\(439\) −83.3312 182.470i −0.189821 0.415649i 0.790663 0.612252i \(-0.209736\pi\)
−0.980483 + 0.196603i \(0.937009\pi\)
\(440\) −57.6536 178.098i −0.131031 0.404767i
\(441\) −444.318 + 512.771i −1.00752 + 1.16274i
\(442\) 6.49139 + 4.17177i 0.0146864 + 0.00943838i
\(443\) 179.601 155.625i 0.405419 0.351298i −0.428155 0.903705i \(-0.640836\pi\)
0.833574 + 0.552408i \(0.186291\pi\)
\(444\) 116.809 16.7946i 0.263083 0.0378256i
\(445\) −35.5106 9.37535i −0.0797991 0.0210682i
\(446\) −235.083 + 151.079i −0.527092 + 0.338742i
\(447\) 9.88834 68.7749i 0.0221216 0.153859i
\(448\) −38.3339 + 83.9396i −0.0855668 + 0.187365i
\(449\) 238.407 522.039i 0.530974 1.16267i −0.434141 0.900845i \(-0.642948\pi\)
0.965115 0.261826i \(-0.0843247\pi\)
\(450\) 284.297 + 25.0407i 0.631771 + 0.0556459i
\(451\) 424.202 + 660.071i 0.940580 + 1.46357i
\(452\) 389.419 + 114.344i 0.861547 + 0.252973i
\(453\) 72.4611 10.4183i 0.159958 0.0229985i
\(454\) 78.8103 68.2895i 0.173591 0.150417i
\(455\) 100.539 + 60.7760i 0.220964 + 0.133574i
\(456\) −42.7514 37.0443i −0.0937530 0.0812374i
\(457\) −5.18302 + 1.52187i −0.0113414 + 0.00333014i −0.287398 0.957811i \(-0.592790\pi\)
0.276057 + 0.961141i \(0.410972\pi\)
\(458\) 139.083 + 304.549i 0.303675 + 0.664954i
\(459\) 44.0469i 0.0959628i
\(460\) −129.973 + 189.755i −0.282550 + 0.412512i
\(461\) −739.306 −1.60370 −0.801850 0.597525i \(-0.796151\pi\)
−0.801850 + 0.597525i \(0.796151\pi\)
\(462\) −189.186 + 86.3984i −0.409494 + 0.187010i
\(463\) −67.2805 229.136i −0.145314 0.494895i 0.854379 0.519650i \(-0.173938\pi\)
−0.999694 + 0.0247548i \(0.992119\pi\)
\(464\) −7.75668 + 8.95168i −0.0167170 + 0.0192924i
\(465\) −51.0369 30.8520i −0.109757 0.0663484i
\(466\) 259.557 + 299.545i 0.556989 + 0.642800i
\(467\) 91.3615 + 635.433i 0.195635 + 1.36067i 0.816768 + 0.576966i \(0.195763\pi\)
−0.621133 + 0.783705i \(0.713328\pi\)
\(468\) 9.26504 31.5538i 0.0197971 0.0674227i
\(469\) 818.513 526.026i 1.74523 1.12159i
\(470\) 6.60239 + 0.764823i 0.0140476 + 0.00162728i
\(471\) 242.942 + 110.948i 0.515801 + 0.235558i
\(472\) 131.885 + 60.2297i 0.279416 + 0.127605i
\(473\) −185.005 26.5997i −0.391131 0.0562362i
\(474\) 84.3616 + 131.269i 0.177978 + 0.276939i
\(475\) 118.673 505.356i 0.249839 1.06391i
\(476\) 8.79432 + 61.1658i 0.0184755 + 0.128500i
\(477\) −146.121 168.632i −0.306333 0.353527i
\(478\) −126.972 + 197.572i −0.265632 + 0.413331i
\(479\) 518.763 + 449.510i 1.08301 + 0.938435i 0.998318 0.0579723i \(-0.0184635\pi\)
0.0846933 + 0.996407i \(0.473009\pi\)
\(480\) −8.39047 25.9190i −0.0174801 0.0539979i
\(481\) 113.508 51.8373i 0.235983 0.107770i
\(482\) 173.022 0.358967
\(483\) 226.040 + 119.185i 0.467991 + 0.246759i
\(484\) 108.427 0.224022
\(485\) −9.01975 + 4.42255i −0.0185974 + 0.00911866i
\(486\) −275.071 + 80.7680i −0.565989 + 0.166189i
\(487\) 58.3164 + 50.5314i 0.119746 + 0.103761i 0.712676 0.701494i \(-0.247483\pi\)
−0.592929 + 0.805254i \(0.702029\pi\)
\(488\) 147.312 + 94.6715i 0.301868 + 0.193999i
\(489\) −106.100 122.446i −0.216973 0.250400i
\(490\) 100.712 + 585.745i 0.205534 + 1.19540i
\(491\) −88.9469 26.1172i −0.181155 0.0531918i 0.189897 0.981804i \(-0.439185\pi\)
−0.371052 + 0.928612i \(0.621003\pi\)
\(492\) 61.7352 + 96.0618i 0.125478 + 0.195248i
\(493\) −1.12883 + 7.85117i −0.00228971 + 0.0159253i
\(494\) −54.4101 24.8483i −0.110142 0.0503001i
\(495\) −208.504 + 491.889i −0.421220 + 0.993715i
\(496\) 7.04928 49.0288i 0.0142123 0.0988484i
\(497\) −1175.25 + 755.288i −2.36469 + 1.51969i
\(498\) 64.9647 + 19.0754i 0.130451 + 0.0383040i
\(499\) −65.3169 454.289i −0.130896 0.910399i −0.944390 0.328827i \(-0.893347\pi\)
0.813495 0.581572i \(-0.197562\pi\)
\(500\) 174.818 178.714i 0.349636 0.357428i
\(501\) −179.700 115.486i −0.358682 0.230511i
\(502\) 440.040 507.833i 0.876574 1.01162i
\(503\) −431.084 + 126.578i −0.857027 + 0.251646i −0.680588 0.732666i \(-0.738276\pi\)
−0.176438 + 0.984312i \(0.556458\pi\)
\(504\) 239.562 109.404i 0.475321 0.217072i
\(505\) 8.87340 + 322.899i 0.0175711 + 0.639404i
\(506\) −263.016 340.879i −0.519794 0.673674i
\(507\) 158.783i 0.313182i
\(508\) 87.7347 40.0671i 0.172706 0.0788723i
\(509\) −519.922 + 152.663i −1.02146 + 0.299927i −0.749233 0.662307i \(-0.769578\pi\)
−0.272225 + 0.962234i \(0.587759\pi\)
\(510\) −14.1105 11.5637i −0.0276677 0.0226740i
\(511\) −94.6469 + 147.273i −0.185219 + 0.288206i
\(512\) 17.1007 14.8178i 0.0333997 0.0289410i
\(513\) 48.5924 + 337.968i 0.0947220 + 0.658806i
\(514\) −321.332 94.3516i −0.625160 0.183563i
\(515\) −328.820 482.007i −0.638486 0.935936i
\(516\) −26.9243 3.87113i −0.0521788 0.00750218i
\(517\) −5.16865 + 11.3178i −0.00999738 + 0.0218912i
\(518\) 909.006 + 415.129i 1.75484 + 0.801408i
\(519\) −3.86097 + 26.8537i −0.00743925 + 0.0517411i
\(520\) −16.2342 23.7971i −0.0312195 0.0457637i
\(521\) 141.329 481.322i 0.271265 0.923843i −0.705352 0.708857i \(-0.749211\pi\)
0.976617 0.214986i \(-0.0689707\pi\)
\(522\) 33.4606 4.81091i 0.0641008 0.00921630i
\(523\) 102.734 + 118.561i 0.196432 + 0.226694i 0.845417 0.534107i \(-0.179352\pi\)
−0.648986 + 0.760801i \(0.724806\pi\)
\(524\) 61.5644 + 39.5651i 0.117489 + 0.0755058i
\(525\) −219.587 170.089i −0.418262 0.323980i
\(526\) −158.983 541.446i −0.302249 1.02937i
\(527\) −13.7793 30.1725i −0.0261467 0.0572533i
\(528\) 50.9985 0.0965880
\(529\) −134.183 + 511.699i −0.253654 + 0.967295i
\(530\) −195.384 + 5.36923i −0.368649 + 0.0101306i
\(531\) −171.894 376.395i −0.323717 0.708842i
\(532\) −134.956 459.618i −0.253676 0.863943i
\(533\) 91.2522 + 79.0705i 0.171205 + 0.148350i
\(534\) 5.40950 8.41735i 0.0101302 0.0157628i
\(535\) 465.307 426.124i 0.869732 0.796494i
\(536\) −236.151 + 33.9533i −0.440579 + 0.0633458i
\(537\) −62.8092 + 213.909i −0.116963 + 0.398340i
\(538\) −294.031 457.521i −0.546526 0.850411i
\(539\) −1101.26 158.338i −2.04316 0.293762i
\(540\) −64.1757 + 151.399i −0.118844 + 0.280368i
\(541\) 113.431 248.380i 0.209669 0.459112i −0.775355 0.631525i \(-0.782429\pi\)
0.985025 + 0.172413i \(0.0551565\pi\)
\(542\) 483.814 + 69.5620i 0.892646 + 0.128343i
\(543\) −73.0943 + 46.9749i −0.134612 + 0.0865099i
\(544\) 4.26897 14.5388i 0.00784737 0.0267257i
\(545\) −123.908 720.655i −0.227354 1.32230i
\(546\) −24.1882 + 20.9592i −0.0443007 + 0.0383868i
\(547\) 439.771 684.296i 0.803968 1.25100i −0.160562 0.987026i \(-0.551331\pi\)
0.964530 0.263973i \(-0.0850330\pi\)
\(548\) −8.08335 + 9.32868i −0.0147506 + 0.0170231i
\(549\) −140.798 479.515i −0.256463 0.873434i
\(550\) 217.497 + 414.381i 0.395449 + 0.753420i
\(551\) 61.4866i 0.111591i
\(552\) −38.2773 49.6090i −0.0693430 0.0898714i
\(553\) 1321.35i 2.38943i
\(554\) 30.0905 + 65.8890i 0.0543150 + 0.118933i
\(555\) −280.684 + 90.8627i −0.505737 + 0.163717i
\(556\) 234.982 271.183i 0.422629 0.487740i
\(557\) −173.668 111.609i −0.311791 0.200376i 0.375381 0.926871i \(-0.377512\pi\)
−0.687172 + 0.726495i \(0.741148\pi\)
\(558\) −106.837 + 92.5749i −0.191464 + 0.165905i
\(559\) −28.4699 + 4.09335i −0.0509300 + 0.00732263i
\(560\) 58.8897 223.054i 0.105160 0.398310i
\(561\) 28.7300 18.4636i 0.0512120 0.0329120i
\(562\) 58.3411 405.771i 0.103810 0.722013i
\(563\) 340.556 745.713i 0.604894 1.32453i −0.321117 0.947039i \(-0.604058\pi\)
0.926012 0.377495i \(-0.123214\pi\)
\(564\) −0.752206 + 1.64710i −0.00133370 + 0.00292039i
\(565\) −1007.91 116.756i −1.78391 0.206648i
\(566\) −372.443 579.533i −0.658027 1.02391i
\(567\) −628.768 184.623i −1.10894 0.325614i
\(568\) 339.074 48.7515i 0.596961 0.0858300i
\(569\) −789.632 + 684.220i −1.38775 + 1.20250i −0.434370 + 0.900735i \(0.643029\pi\)
−0.953384 + 0.301760i \(0.902426\pi\)
\(570\) 121.026 + 73.1607i 0.212326 + 0.128352i
\(571\) 289.687 + 251.015i 0.507332 + 0.439606i 0.870537 0.492103i \(-0.163772\pi\)
−0.363204 + 0.931710i \(0.618317\pi\)
\(572\) 51.7417 15.1927i 0.0904575 0.0265607i
\(573\) 22.9339 + 50.2183i 0.0400243 + 0.0876410i
\(574\) 966.955i 1.68459i
\(575\) 239.847 522.588i 0.417125 0.908849i
\(576\) −64.5781 −0.112115
\(577\) −340.028 + 155.286i −0.589304 + 0.269126i −0.687669 0.726024i \(-0.741366\pi\)
0.0983651 + 0.995150i \(0.468639\pi\)
\(578\) 112.288 + 382.416i 0.194269 + 0.661620i
\(579\) 234.768 270.937i 0.405472 0.467939i
\(580\) 15.3191 25.3415i 0.0264122 0.0436923i
\(581\) 375.463 + 433.308i 0.646236 + 0.745796i
\(582\) −0.389481 2.70890i −0.000669211 0.00465447i
\(583\) 103.083 351.070i 0.176815 0.602178i
\(584\) 36.1125 23.2081i 0.0618365 0.0397399i
\(585\) −9.46052 + 81.6687i −0.0161718 + 0.139605i
\(586\) 74.6194 + 34.0775i 0.127337 + 0.0581528i
\(587\) 699.505 + 319.453i 1.19166 + 0.544213i 0.909722 0.415219i \(-0.136295\pi\)
0.281940 + 0.959432i \(0.409022\pi\)
\(588\) −160.269 23.0433i −0.272567 0.0391892i
\(589\) 139.013 + 216.309i 0.236016 + 0.367248i
\(590\) −350.458 92.5265i −0.593997 0.156825i
\(591\) −32.2606 224.378i −0.0545865 0.379658i
\(592\) −160.466 185.188i −0.271058 0.312817i
\(593\) 114.561 178.260i 0.193188 0.300607i −0.731123 0.682245i \(-0.761004\pi\)
0.924312 + 0.381638i \(0.124640\pi\)
\(594\) −232.638 201.582i −0.391647 0.339364i
\(595\) −47.5795 146.978i −0.0799655 0.247021i
\(596\) −131.237 + 59.9338i −0.220196 + 0.100560i
\(597\) −324.897 −0.544216
\(598\) −53.6139 38.9289i −0.0896554 0.0650985i
\(599\) −336.086 −0.561078 −0.280539 0.959843i \(-0.590513\pi\)
−0.280539 + 0.959843i \(0.590513\pi\)
\(600\) 31.6529 + 60.3060i 0.0527548 + 0.100510i
\(601\) 212.651 62.4400i 0.353829 0.103894i −0.0999877 0.994989i \(-0.531880\pi\)
0.453816 + 0.891095i \(0.350062\pi\)
\(602\) −174.080 150.841i −0.289169 0.250566i
\(603\) 572.808 + 368.121i 0.949930 + 0.610483i
\(604\) −99.5436 114.879i −0.164807 0.190198i
\(605\) −267.147 + 45.9327i −0.441565 + 0.0759218i
\(606\) −84.4366 24.7928i −0.139334 0.0409123i
\(607\) 143.054 + 222.597i 0.235675 + 0.366717i 0.938865 0.344284i \(-0.111878\pi\)
−0.703191 + 0.711001i \(0.748242\pi\)
\(608\) −16.7162 + 116.264i −0.0274938 + 0.191224i
\(609\) −29.9266 13.6670i −0.0491406 0.0224418i
\(610\) −403.059 170.851i −0.660753 0.280083i
\(611\) −0.272487 + 1.89519i −0.000445970 + 0.00310179i
\(612\) −36.3800 + 23.3800i −0.0594444 + 0.0382026i
\(613\) −124.939 36.6853i −0.203815 0.0598455i 0.178231 0.983989i \(-0.442962\pi\)
−0.382047 + 0.924143i \(0.624781\pi\)
\(614\) 116.101 + 807.497i 0.189089 + 1.31514i
\(615\) −192.800 210.529i −0.313497 0.342323i
\(616\) 363.301 + 233.480i 0.589775 + 0.379025i
\(617\) −290.786 + 335.585i −0.471290 + 0.543898i −0.940770 0.339045i \(-0.889896\pi\)
0.469480 + 0.882943i \(0.344441\pi\)
\(618\) 152.521 44.7842i 0.246798 0.0724663i
\(619\) 464.387 212.079i 0.750222 0.342615i −0.00333787 0.999994i \(-0.501062\pi\)
0.753560 + 0.657380i \(0.228335\pi\)
\(620\) 3.40168 + 123.786i 0.00548659 + 0.199654i
\(621\) −21.4814 + 377.599i −0.0345916 + 0.608050i
\(622\) 258.704i 0.415923i
\(623\) 77.0720 35.1976i 0.123711 0.0564970i
\(624\) 7.53010 2.21104i 0.0120675 0.00354333i
\(625\) −355.016 + 514.382i −0.568025 + 0.823011i
\(626\) 111.755 173.894i 0.178522 0.277786i
\(627\) −200.073 + 173.364i −0.319096 + 0.276498i
\(628\) −78.9230 548.922i −0.125674 0.874079i
\(629\) −157.444 46.2298i −0.250309 0.0734974i
\(630\) −543.896 + 371.040i −0.863327 + 0.588952i
\(631\) −455.672 65.5158i −0.722143 0.103828i −0.228563 0.973529i \(-0.573403\pi\)
−0.493580 + 0.869701i \(0.664312\pi\)
\(632\) 134.597 294.726i 0.212970 0.466338i
\(633\) −102.948 47.0146i −0.162634 0.0742726i
\(634\) 66.4995 462.514i 0.104889 0.729518i
\(635\) −199.191 + 135.886i −0.313687 + 0.213994i
\(636\) 15.0020 51.0920i 0.0235880 0.0803334i
\(637\) −169.470 + 24.3661i −0.266044 + 0.0382513i
\(638\) 36.3006 + 41.8932i 0.0568976 + 0.0656633i
\(639\) −822.459 528.562i −1.28710 0.827171i
\(640\) −35.8561 + 43.7531i −0.0560252 + 0.0683643i
\(641\) −40.5191 137.995i −0.0632123 0.215281i 0.921830 0.387595i \(-0.126694\pi\)
−0.985042 + 0.172313i \(0.944876\pi\)
\(642\) 71.4057 + 156.357i 0.111224 + 0.243546i
\(643\) −850.938 −1.32339 −0.661694 0.749774i \(-0.730162\pi\)
−0.661694 + 0.749774i \(0.730162\pi\)
\(644\) −45.5605 528.643i −0.0707461 0.820874i
\(645\) 67.9772 1.86804i 0.105391 0.00289619i
\(646\) 32.6754 + 71.5492i 0.0505812 + 0.110757i
\(647\) 67.4842 + 229.830i 0.104303 + 0.355224i 0.995062 0.0992513i \(-0.0316448\pi\)
−0.890759 + 0.454476i \(0.849827\pi\)
\(648\) 121.440 + 105.228i 0.187407 + 0.162389i
\(649\) 366.839 570.813i 0.565237 0.879527i
\(650\) 50.0796 + 51.7552i 0.0770456 + 0.0796235i
\(651\) 136.181 19.5799i 0.209187 0.0300766i
\(652\) −94.7803 + 322.792i −0.145369 + 0.495080i
\(653\) −471.548 733.743i −0.722126 1.12365i −0.987210 0.159424i \(-0.949036\pi\)
0.265085 0.964225i \(-0.414600\pi\)
\(654\) 197.183 + 28.3506i 0.301503 + 0.0433496i
\(655\) −168.446 71.4017i −0.257170 0.109010i
\(656\) 98.4968 215.678i 0.150148 0.328777i
\(657\) −121.266 17.4354i −0.184575 0.0265379i
\(658\) −12.8992 + 8.28984i −0.0196037 + 0.0125985i
\(659\) −97.0750 + 330.607i −0.147307 + 0.501680i −0.999777 0.0210946i \(-0.993285\pi\)
0.852471 + 0.522775i \(0.175103\pi\)
\(660\) −125.652 + 21.6044i −0.190382 + 0.0327340i
\(661\) 445.134 385.711i 0.673425 0.583526i −0.249561 0.968359i \(-0.580286\pi\)
0.922986 + 0.384833i \(0.125741\pi\)
\(662\) 354.762 552.020i 0.535894 0.833867i
\(663\) 3.44159 3.97180i 0.00519093 0.00599065i
\(664\) −39.6086 134.894i −0.0596515 0.203154i
\(665\) 527.218 + 1075.26i 0.792809 + 1.61693i
\(666\) 699.334i 1.05005i
\(667\) 13.5060 66.7549i 0.0202489 0.100082i
\(668\) 443.544i 0.663988i
\(669\) 79.0634 + 173.125i 0.118181 + 0.258781i
\(670\) 567.455 183.696i 0.846948 0.274173i
\(671\) 536.659 619.337i 0.799789 0.923006i
\(672\) 52.8721 + 33.9789i 0.0786788 + 0.0505638i
\(673\) 402.361 348.648i 0.597862 0.518050i −0.302524 0.953142i \(-0.597829\pi\)
0.900386 + 0.435091i \(0.143284\pi\)
\(674\) −829.022 + 119.195i −1.23000 + 0.176848i
\(675\) 93.9820 400.210i 0.139233 0.592904i
\(676\) −277.363 + 178.250i −0.410300 + 0.263684i
\(677\) 98.7908 687.105i 0.145924 1.01493i −0.776878 0.629652i \(-0.783198\pi\)
0.922802 0.385274i \(-0.125893\pi\)
\(678\) 114.830 251.443i 0.169366 0.370860i
\(679\) 9.62722 21.0807i 0.0141785 0.0310466i
\(680\) −4.35904 + 37.6297i −0.00641035 + 0.0553379i
\(681\) −38.3984 59.7490i −0.0563853 0.0877372i
\(682\) −222.421 65.3086i −0.326130 0.0957603i
\(683\) 483.942 69.5804i 0.708554 0.101875i 0.221390 0.975185i \(-0.428941\pi\)
0.487164 + 0.873311i \(0.338031\pi\)
\(684\) 253.347 219.527i 0.370391 0.320946i
\(685\) 15.9642 26.4088i 0.0233054 0.0385529i
\(686\) −432.138 374.449i −0.629938 0.545844i
\(687\) 218.792 64.2432i 0.318475 0.0935127i
\(688\) 23.4631 + 51.3770i 0.0341034 + 0.0746759i
\(689\) 56.3058i 0.0817210i
\(690\) 115.325 + 106.014i 0.167138 + 0.153643i
\(691\) 370.108 0.535613 0.267806 0.963473i \(-0.413701\pi\)
0.267806 + 0.963473i \(0.413701\pi\)
\(692\) 51.2423 23.4016i 0.0740496 0.0338173i
\(693\) −347.238 1182.58i −0.501065 1.70647i
\(694\) 250.366 288.937i 0.360757 0.416336i
\(695\) −464.078 + 767.699i −0.667738 + 1.10460i
\(696\) 5.28293 + 6.09682i 0.00759041 + 0.00875980i
\(697\) −22.5965 157.162i −0.0324196 0.225484i
\(698\) 170.005 578.985i 0.243561 0.829492i
\(699\) 227.096 145.946i 0.324887 0.208792i
\(700\) −50.6031 + 574.517i −0.0722902 + 0.820739i
\(701\) 78.2110 + 35.7178i 0.111571 + 0.0509526i 0.470418 0.882444i \(-0.344103\pi\)
−0.358848 + 0.933396i \(0.616830\pi\)
\(702\) −43.0894 19.6783i −0.0613809 0.0280317i
\(703\) 1259.06 + 181.025i 1.79098 + 0.257503i
\(704\) −57.2509 89.0842i −0.0813223 0.126540i
\(705\) 1.15556 4.37686i 0.00163909 0.00620831i
\(706\) −17.5443 122.023i −0.0248503 0.172837i
\(707\) −488.001 563.183i −0.690242 0.796581i
\(708\) 53.3870 83.0718i 0.0754054 0.117333i
\(709\) −11.4611 9.93114i −0.0161652 0.0140072i 0.646741 0.762710i \(-0.276132\pi\)
−0.662906 + 0.748703i \(0.730677\pi\)
\(710\) −814.773 + 263.758i −1.14757 + 0.371490i
\(711\) −841.140 + 384.136i −1.18304 + 0.540275i
\(712\) −20.7761 −0.0291800
\(713\) 103.410 + 265.378i 0.145036 + 0.372200i
\(714\) 42.0873 0.0589458
\(715\) −121.048 + 59.3518i −0.169297 + 0.0830096i
\(716\) 444.165 130.419i 0.620342 0.182149i
\(717\) 120.886 + 104.748i 0.168599 + 0.146092i
\(718\) 403.718 + 259.454i 0.562281 + 0.361356i
\(719\) 453.404 + 523.256i 0.630604 + 0.727756i 0.977684 0.210080i \(-0.0673723\pi\)
−0.347080 + 0.937835i \(0.612827\pi\)
\(720\) 159.110 27.3571i 0.220987 0.0379960i
\(721\) 1291.55 + 379.234i 1.79134 + 0.525984i
\(722\) −53.6343 83.4566i −0.0742857 0.115591i
\(723\) 16.7707 116.643i 0.0231960 0.161332i
\(724\) 164.111 + 74.9472i 0.226673 + 0.103518i
\(725\) −27.0084 + 68.9272i −0.0372530 + 0.0950720i
\(726\) 10.5096 73.0957i 0.0144760 0.100683i
\(727\) −516.924 + 332.207i −0.711037 + 0.456956i −0.845509 0.533962i \(-0.820703\pi\)
0.134472 + 0.990917i \(0.457066\pi\)
\(728\) 63.7652 + 18.7231i 0.0875895 + 0.0257186i
\(729\) −44.9787 312.834i −0.0616991 0.429127i
\(730\) −79.1441 + 72.4795i −0.108417 + 0.0992871i
\(731\) 31.8186 + 20.4486i 0.0435275 + 0.0279734i
\(732\) 78.1013 90.1337i 0.106696 0.123133i
\(733\) −1013.29 + 297.530i −1.38239 + 0.405907i −0.886602 0.462534i \(-0.846940\pi\)
−0.495792 + 0.868441i \(0.665122\pi\)
\(734\) 203.370 92.8758i 0.277070 0.126534i
\(735\) 404.641 11.1197i 0.550532 0.0151289i
\(736\) −43.6868 + 122.554i −0.0593571 + 0.166513i
\(737\) 1116.53i 1.51497i
\(738\) −615.539 + 281.107i −0.834064 + 0.380904i
\(739\) 674.835 198.150i 0.913174 0.268132i 0.208798 0.977959i \(-0.433045\pi\)
0.704376 + 0.709827i \(0.251227\pi\)
\(740\) 473.815 + 388.296i 0.640291 + 0.524725i
\(741\) −22.0253 + 34.2720i −0.0297237 + 0.0462510i
\(742\) 340.778 295.286i 0.459270 0.397960i
\(743\) 23.9271 + 166.417i 0.0322034 + 0.223980i 0.999567 0.0294113i \(-0.00936324\pi\)
−0.967364 + 0.253391i \(0.918454\pi\)
\(744\) −32.3694 9.50452i −0.0435073 0.0127749i
\(745\) 297.957 203.263i 0.399943 0.272837i
\(746\) 949.486 + 136.516i 1.27277 + 0.182997i
\(747\) −166.680 + 364.979i −0.223133 + 0.488593i
\(748\) −64.5045 29.4582i −0.0862360 0.0393826i
\(749\) −207.149 + 1440.75i −0.276568 + 1.92357i
\(750\) −103.535 135.176i −0.138047 0.180234i
\(751\) −112.109 + 381.808i −0.149280 + 0.508399i −0.999847 0.0174658i \(-0.994440\pi\)
0.850568 + 0.525865i \(0.176258\pi\)
\(752\) 3.72158 0.535083i 0.00494892 0.000711547i
\(753\) −299.703 345.875i −0.398012 0.459330i
\(754\) 7.17619 + 4.61186i 0.00951750 + 0.00611652i
\(755\) 293.926 + 240.876i 0.389307 + 0.319041i
\(756\) −106.877 363.989i −0.141371 0.481466i
\(757\) 509.116 + 1114.81i 0.672544 + 1.47267i 0.870354 + 0.492426i \(0.163890\pi\)
−0.197810 + 0.980240i \(0.563383\pi\)
\(758\) −457.626 −0.603728
\(759\) −255.297 + 144.271i −0.336359 + 0.190080i
\(760\) −8.06655 293.538i −0.0106139 0.386234i
\(761\) 349.719 + 765.777i 0.459552 + 1.00628i 0.987590 + 0.157057i \(0.0502006\pi\)
−0.528038 + 0.849221i \(0.677072\pi\)
\(762\) −18.5072 63.0299i −0.0242877 0.0827163i
\(763\) 1274.89 + 1104.70i 1.67089 + 1.44784i
\(764\) 61.9757 96.4360i 0.0811200 0.126225i
\(765\) 79.7303 73.0164i 0.104223 0.0954462i
\(766\) 636.937 91.5777i 0.831510 0.119553i
\(767\) 29.4175 100.187i 0.0383540 0.130622i
\(768\) −8.33187 12.9646i −0.0108488 0.0168810i
\(769\) −353.920 50.8860i −0.460234 0.0661716i −0.0917013 0.995787i \(-0.529231\pi\)
−0.368532 + 0.929615i \(0.620140\pi\)
\(770\) −994.027 421.353i −1.29094 0.547211i
\(771\) −94.7530 + 207.480i −0.122896 + 0.269105i
\(772\) −736.824 105.939i −0.954435 0.137227i
\(773\) 1031.55 662.936i 1.33447 0.857615<