Properties

Label 230.3.i.a.19.18
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 19.18
Character \(\chi\) \(=\) 230.19
Dual form 230.3.i.a.109.18

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28641 - 0.587486i) q^{2} +(-0.271363 - 0.924178i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-2.81773 + 4.13042i) q^{5} +(-0.892026 - 1.02945i) q^{6} +(1.64158 + 11.4174i) q^{7} +(0.796860 - 2.71386i) q^{8} +(6.79082 - 4.36419i) q^{9} +O(q^{10})\) \(q+(1.28641 - 0.587486i) q^{2} +(-0.271363 - 0.924178i) q^{3} +(1.30972 - 1.51150i) q^{4} +(-2.81773 + 4.13042i) 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} +(-1.19820 + 6.96881i) 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} +(4.58187 + 1.48324i) 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} +(2.55269 + 9.66870i) q^{20} +(10.1063 - 4.61538i) q^{21} +18.7197 q^{22} +(-14.0502 - 18.2097i) q^{23} -2.72432 q^{24} +(-9.12079 - 23.2768i) 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} +(6.76557 - 0.783724i) 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} +(-51.7843 - 25.3908i) 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} +(8.96404 + 10.9383i) 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} +(-25.4079 - 24.5853i) 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} +(-56.6395 + 34.2389i) 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} +(8.24289 - 4.98287i) 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} +(6.87859 - 7.51109i) 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} +(-19.0369 + 14.7457i) 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} +(17.9575 + 8.80492i) 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} +(-13.3041 + 1.54115i) 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} +(22.2764 + 52.5531i) q^{90} -23.4961i q^{91} +(-45.9257 - 2.61269i) q^{92} -11.9275i q^{93} +(-0.552215 - 1.20918i) q^{94} +(-100.381 + 26.5022i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + O(q^{10}) \) \( 240q + 48q^{4} - 8q^{6} + 96q^{9} + 154q^{15} - 96q^{16} + 44q^{20} + 16q^{24} - 84q^{25} + 32q^{26} - 100q^{29} - 352q^{30} + 124q^{31} + 28q^{35} - 192q^{36} + 72q^{39} + 116q^{41} - 148q^{46} - 188q^{49} + 144q^{50} + 324q^{54} + 796q^{55} - 264q^{56} + 400q^{59} + 176q^{60} - 616q^{61} + 192q^{64} + 462q^{65} - 176q^{66} + 120q^{69} - 504q^{70} + 464q^{71} - 528q^{74} - 934q^{75} - 968q^{79} - 264q^{80} + 664q^{81} - 352q^{84} - 1196q^{85} + 396q^{86} + 376q^{94} + 126q^{95} - 32q^{96} - 3300q^{99} + O(q^{100}) \)

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 0.901822 0.432108i \(-0.142230\pi\)
−0.992276 + 0.124049i \(0.960412\pi\)
\(4\) 1.30972 1.51150i 0.327430 0.377875i
\(5\) −2.81773 + 4.13042i −0.563546 + 0.826085i
\(6\) −0.892026 1.02945i −0.148671 0.171576i
\(7\) 1.64158 + 11.4174i 0.234511 + 1.63106i 0.678198 + 0.734879i \(0.262761\pi\)
−0.443687 + 0.896182i \(0.646330\pi\)
\(8\) 0.796860 2.71386i 0.0996075 0.339232i
\(9\) 6.79082 4.36419i 0.754535 0.484910i
\(10\) −1.19820 + 6.96881i −0.119820 + 0.696881i
\(11\) 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 0.0643297 0.997929i \(-0.479509\pi\)
−0.219425 + 0.975629i \(0.570418\pi\)
\(14\) 8.81932 + 13.7231i 0.629952 + 0.980224i
\(15\) 4.58187 + 1.48324i 0.305458 + 0.0988826i
\(16\) −0.569259 3.95929i −0.0355787 0.247455i
\(17\) 1.75412 + 2.02436i 0.103184 + 0.119080i 0.804992 0.593285i \(-0.202169\pi\)
−0.701809 + 0.712365i \(0.747624\pi\)
\(18\) 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 \(0.543261\pi\)
\(20\) 2.55269 + 9.66870i 0.127634 + 0.483435i
\(21\) 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
\(25\) −9.12079 23.2768i −0.364832 0.931074i
\(26\) −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 \(0.788986\pi\)
\(30\) 6.76557 0.783724i 0.225519 0.0261241i
\(31\) 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
\(35\) −51.7843 25.3908i −1.47955 0.725452i
\(36\) 2.29760 15.9802i 0.0638223 0.443894i
\(37\) −51.5349 + 33.1195i −1.39284 + 0.895121i −0.999703 0.0243610i \(-0.992245\pi\)
−0.393132 + 0.919482i \(0.628609\pi\)
\(38\) 28.1754 + 8.27305i 0.741458 + 0.217712i
\(39\) 0.279222 + 1.94203i 0.00715953 + 0.0497956i
\(40\) 8.96404 + 10.9383i 0.224101 + 0.273457i
\(41\) 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 −0.120371 0.992729i \(-0.538408\pi\)
0.435448 + 0.900214i \(0.356590\pi\)
\(44\) 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 \(-0.996817\pi\)
0.999950 0.00999961i \(-0.00318303\pi\)
\(48\) −3.50461 + 1.60050i −0.0730127 + 0.0333438i
\(49\) −80.6477 + 23.6803i −1.64587 + 0.483271i
\(50\) −25.4079 24.5853i −0.508158 0.491706i
\(51\) 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 \(0.0385227\pi\)
−0.918462 + 0.395509i \(0.870568\pi\)
\(54\) −22.3132 6.55174i −0.413207 0.121329i
\(55\) −56.6395 + 34.2389i −1.02981 + 0.622525i
\(56\) 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 \(-0.0975890\pi\)
\(60\) 8.24289 4.98287i 0.137382 0.0830478i
\(61\) 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
\(65\) 6.87859 7.51109i 0.105825 0.115555i
\(66\) −5.07983 17.3003i −0.0769671 0.262126i
\(67\) −35.0404 76.7278i −0.522991 1.14519i −0.968295 0.249811i \(-0.919631\pi\)
0.445303 0.895380i \(-0.353096\pi\)
\(68\) 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 0.729875 0.683581i \(-0.239578\pi\)
−0.572751 + 0.819729i \(0.694124\pi\)
\(74\) −46.8380 + 72.8814i −0.632946 + 0.984883i
\(75\) −19.0369 + 14.7457i −0.253825 + 0.196609i
\(76\) 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 \(0.803624\pi\)
\(80\) 17.9575 + 8.80492i 0.224469 + 0.110061i
\(81\) 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 −0.263936 0.964540i \(-0.585021\pi\)
0.767734 + 0.640769i \(0.221384\pi\)
\(84\) 6.26026 21.3205i 0.0745269 0.253815i
\(85\) −13.3041 + 1.54115i −0.156519 + 0.0181312i
\(86\) 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 \(0.895952\pi\)
\(90\) 22.2764 + 52.5531i 0.247516 + 0.583923i
\(91\) 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
\(95\) −100.381 + 26.5022i −1.05664 + 0.278970i
\(96\) −3.56811 + 4.11781i −0.0371678 + 0.0428939i
\(97\) −1.69018 1.08622i −0.0174246 0.0111981i 0.531900 0.846807i \(-0.321478\pi\)
−0.549324 + 0.835609i \(0.685115\pi\)
\(98\) −89.8345 + 77.8420i −0.916678 + 0.794306i
\(99\) 105.763 15.2065i 1.06832 0.153601i
\(100\) −47.1286 16.7001i −0.471286 0.167001i
\(101\) 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 \(-0.671938\pi\)
0.984928 0.172966i \(-0.0553352\pi\)
\(104\) −2.39338 + 5.24078i −0.0230133 + 0.0503921i
\(105\) −9.41327 + 54.7481i −0.0896502 + 0.521410i
\(106\) 21.1345 + 32.8859i 0.199382 + 0.310244i
\(107\) 121.078 + 35.5516i 1.13157 + 0.332258i 0.793323 0.608801i \(-0.208349\pi\)
0.338243 + 0.941059i \(0.390167\pi\)
\(108\) −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 \(0.506799\pi\)
\(110\) −52.7470 + 77.3202i −0.479518 + 0.702911i
\(111\) 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 \(-0.781442\pi\)
0.0273756 0.999625i \(-0.491285\pi\)
\(114\) 28.2841i 0.248106i
\(115\) 114.803 6.72343i 0.998289 0.0584646i
\(116\) −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
\(120\) 7.67641 11.2526i 0.0639701 0.0937717i
\(121\) 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
\(125\) 121.843 + 27.9151i 0.974745 + 0.223321i
\(126\) 119.781 + 54.7020i 0.950641 + 0.434143i
\(127\) −43.8674 20.0336i −0.345412 0.157745i 0.235153 0.971958i \(-0.424441\pi\)
−0.580565 + 0.814214i \(0.697168\pi\)
\(128\) −11.1986 1.61011i −0.0874887 0.0125790i
\(129\) −7.35302 11.4415i −0.0570002 0.0886940i
\(130\) 4.43606 13.7034i 0.0341236 0.105411i
\(131\) 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
\(135\) 79.4955 20.9881i 0.588856 0.155467i
\(136\) 6.89162 3.14730i 0.0506737 0.0231419i
\(137\) 6.17181 0.0450497 0.0225248 0.999746i \(-0.492830\pi\)
0.0225248 + 0.999746i \(0.492830\pi\)
\(138\) −6.21283 + 30.7075i −0.0450205 + 0.222518i
\(139\) 179.413 1.29074 0.645372 0.763868i \(-0.276702\pi\)
0.645372 + 0.763868i \(0.276702\pi\)
\(140\) −106.201 + 45.0171i −0.758580 + 0.321550i
\(141\) −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
\(145\) 14.7076 1.70373i 0.101432 0.0117499i
\(146\) 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 \(0.714190\pi\)
\(150\) −15.8264 + 30.1530i −0.105510 + 0.201020i
\(151\) 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
\(155\) −47.8893 + 39.2458i −0.308963 + 0.253199i
\(156\) 3.30108 + 2.12147i 0.0211608 + 0.0135992i
\(157\) −181.582 + 209.557i −1.15657 + 1.33476i −0.223654 + 0.974669i \(0.571799\pi\)
−0.932918 + 0.360088i \(0.882747\pi\)
\(158\) −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 0.113508 0.993537i \(-0.463791\pi\)
0.825197 + 0.564845i \(0.191064\pi\)
\(164\) 113.750 33.4000i 0.693598 0.203659i
\(165\) 47.0127 + 43.0538i 0.284925 + 0.260932i
\(166\) 38.0041 59.1356i 0.228941 0.356239i
\(167\) 167.604 145.230i 1.00362 0.869639i 0.0121410 0.999926i \(-0.496135\pi\)
0.991476 + 0.130287i \(0.0415898\pi\)
\(168\) −4.47219 31.1048i −0.0266202 0.185147i
\(169\) −158.173 46.4438i −0.935936 0.274816i
\(170\) −16.2092 + 9.79854i −0.0953483 + 0.0576385i
\(171\) 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 0.339987 0.940430i \(-0.389577\pi\)
−0.488086 + 0.872796i \(0.662305\pi\)
\(174\) −0.574045 + 3.99257i −0.00329911 + 0.0229458i
\(175\) 250.789 142.347i 1.43308 0.813410i
\(176\) 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 \(0.458037\pi\)
\(180\) 59.5309 + 54.5179i 0.330727 + 0.302877i
\(181\) 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
\(190\) −113.562 + 93.0652i −0.597694 + 0.489817i
\(191\) 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 \(0.232811\pi\)
0.298383 + 0.954446i \(0.403553\pi\)
\(194\) −2.81241 0.404364i −0.0144970 0.00208435i
\(195\) −8.80818 4.31881i −0.0451701 0.0221478i
\(196\) −69.8333 + 152.914i −0.356292 + 0.780171i
\(197\) 232.952 + 33.4934i 1.18250 + 0.170017i 0.705384 0.708825i \(-0.250774\pi\)
0.477112 + 0.878842i \(0.341684\pi\)
\(198\) 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 \(0.769005\pi\)
\(200\) −70.4380 + 6.20413i −0.352190 + 0.0310207i
\(201\) −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
\(205\) −272.878 + 115.669i −1.33111 + 0.564238i
\(206\) 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
\(210\) 20.0543 + 75.9588i 0.0954968 + 0.361709i
\(211\) −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
\(215\) −21.7441 + 67.1696i −0.101135 + 0.312417i
\(216\) −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
\(220\) −22.4300 + 130.454i −0.101955 + 0.592972i
\(221\) −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 −0.566118 0.824324i \(-0.691555\pi\)
−0.310947 + 0.950427i \(0.600646\pi\)
\(224\) 49.3133 42.7302i 0.220149 0.190760i
\(225\) −163.522 118.264i −0.726765 0.525617i
\(226\) −216.889 187.936i −0.959688 0.831574i
\(227\) 70.7509 20.7743i 0.311678 0.0915169i −0.122153 0.992511i \(-0.538980\pi\)
0.433831 + 0.900994i \(0.357162\pi\)
\(228\) −16.6165 36.3850i −0.0728794 0.159584i
\(229\) 236.743i 1.03381i −0.856042 0.516906i \(-0.827084\pi\)
0.856042 0.516906i \(-0.172916\pi\)
\(230\) 143.735 76.0944i 0.624933 0.330845i
\(231\) 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 \(0.114492\pi\)
−0.597124 + 0.802149i \(0.703690\pi\)
\(234\) −15.2280 + 17.5741i −0.0650771 + 0.0751030i
\(235\) 3.88245 + 2.64856i 0.0165211 + 0.0112705i
\(236\) −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 \(0.205239\pi\)
\(240\) 3.26429 18.9853i 0.0136012 0.0791054i
\(241\) −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
\(245\) 129.434 399.834i 0.528301 1.63197i
\(246\) −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
\(250\) 173.140 35.6707i 0.692562 0.142683i
\(251\) −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
\(255\) 5.03455 + 11.8772i 0.0197433 + 0.0465771i
\(256\) −15.3519 + 4.50772i −0.0599683 + 0.0176083i
\(257\) −178.968 155.077i −0.696373 0.603411i 0.233033 0.972469i \(-0.425135\pi\)
−0.929406 + 0.369058i \(0.879680\pi\)
\(258\) −16.1808 10.3987i −0.0627161 0.0403052i
\(259\) −462.738 534.028i −1.78663 2.06188i
\(260\) −2.34396 20.2344i −0.00901523 0.0778247i
\(261\) −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 \(-0.680429\pi\)
0.752885 0.658152i \(-0.228662\pi\)
\(264\) −32.8026 14.9804i −0.124252 0.0567441i
\(265\) −124.095 60.8461i −0.468283 0.229608i
\(266\) −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 \(0.701061\pi\)
\(270\) 89.9340 73.7018i 0.333089 0.272970i
\(271\) −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 \(0.0294709\pi\)
−0.995717 + 0.0924534i \(0.970529\pi\)
\(278\) 230.800 105.403i 0.830216 0.379147i
\(279\) 95.9116 28.1622i 0.343769 0.100940i
\(280\) −110.172 + 120.302i −0.393471 + 0.429651i
\(281\) −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 \(-0.715520\pi\)
0.381554 0.924346i \(-0.375389\pi\)
\(284\) −232.415 68.2432i −0.818363 0.240293i
\(285\) 51.7324 + 85.5782i 0.181517 + 0.300274i
\(286\) −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
\(290\) 17.9192 10.8322i 0.0617902 0.0373525i
\(291\) −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 0.816860 0.576836i \(-0.195713\pi\)
−0.687216 + 0.726453i \(0.741167\pi\)
\(294\) 96.3176 + 61.8996i 0.327611 + 0.210543i
\(295\) 189.017 + 173.100i 0.640735 + 0.586780i
\(296\) 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
\(305\) 196.211 + 239.425i 0.643316 + 0.785001i
\(306\) 30.2676 4.35182i 0.0989136 0.0142216i
\(307\) −162.520 + 553.491i −0.529380 + 1.80290i 0.0639619 + 0.997952i \(0.479626\pi\)
−0.593342 + 0.804951i \(0.702192\pi\)
\(308\) 165.095 + 256.893i 0.536023 + 0.834067i
\(309\) −111.258 15.9964i −0.360057 0.0517684i
\(310\) −38.5491 + 78.6206i −0.124352 + 0.253615i
\(311\) 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 −0.329273 0.944235i \(-0.606804\pi\)
0.722121 + 0.691766i \(0.243167\pi\)
\(314\) −110.478 + 376.253i −0.351841 + 1.19826i
\(315\) −462.468 + 53.5724i −1.46815 + 0.170071i
\(316\) −173.147 + 150.033i −0.547934 + 0.474788i
\(317\) 178.633 277.959i 0.563512 0.876841i −0.436224 0.899838i \(-0.643684\pi\)
0.999736 + 0.0229969i \(0.00732078\pi\)
\(318\) 24.6573 28.4560i 0.0775387 0.0894844i
\(319\) −11.0430 37.6090i −0.0346176 0.117897i
\(320\) 36.8280 15.6108i 0.115088 0.0487838i
\(321\) 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
\(325\) 11.6419 + 49.5757i 0.0358214 + 0.152541i
\(326\) 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
\(330\) 85.7712 + 27.7658i 0.259913 + 0.0841387i
\(331\) −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
\(335\) 415.653 + 71.4665i 1.24075 + 0.213333i
\(336\) −24.0267 37.3863i −0.0715080 0.111269i
\(337\) −568.246 166.852i −1.68619 0.495110i −0.708596 0.705614i \(-0.750671\pi\)
−0.977593 + 0.210505i \(0.932489\pi\)
\(338\) −230.761 + 33.1784i −0.682725 + 0.0981611i
\(339\) −147.719 + 127.999i −0.435750 + 0.377580i
\(340\) −15.0952 + 22.1277i −0.0443978 + 0.0650813i
\(341\) 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
\(345\) −37.3670 104.274i −0.108310 0.302244i
\(346\) −39.8334 −0.115126
\(347\) 245.910 112.303i 0.708675 0.323641i −0.0282640 0.999600i \(-0.508998\pi\)
0.736939 + 0.675960i \(0.236271\pi\)
\(348\) 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 \(0.436626\pi\)
\(350\) 238.992 330.452i 0.682834 0.944148i
\(351\) 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 −0.917365 0.398047i \(-0.869688\pi\)
0.986937 + 0.161107i \(0.0515064\pi\)
\(354\) −58.7407 + 37.7503i −0.165934 + 0.106639i
\(355\) 596.810 + 102.614i 1.68115 + 0.289054i
\(356\) 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 \(0.974873\pi\)
\(360\) 108.610 + 35.1591i 0.301694 + 0.0976641i
\(361\) 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
\(365\) −73.3710 + 19.3711i −0.201016 + 0.0530715i
\(366\) −76.7114 + 35.0329i −0.209594 + 0.0957184i
\(367\) 158.090 0.430764 0.215382 0.976530i \(-0.430900\pi\)
0.215382 + 0.976530i \(0.430900\pi\)
\(368\) −64.0990 + 65.9948i −0.174182 + 0.179334i
\(369\) 478.492 1.29673
\(370\) −169.054 398.821i −0.456903 1.07789i
\(371\) −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 \(0.0451537\pi\)
0.539845 + 0.841764i \(0.318483\pi\)
\(374\) 32.8366 + 37.8955i 0.0877984 + 0.101325i
\(375\) −7.26518 120.180i −0.0193738 0.320480i
\(376\) −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 \(0.495969\pi\)
\(380\) −91.4132 + 186.436i −0.240561 + 0.490622i
\(381\) −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 0.796592 0.604517i \(-0.206634\pi\)
0.343310 + 0.939222i \(0.388452\pi\)
\(384\) 1.55085 + 10.7864i 0.00403866 + 0.0280895i
\(385\) −483.898 590.472i −1.25688 1.53369i
\(386\) 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
\(395\) 386.832 422.401i 0.979320 1.06937i
\(396\) 115.536 179.778i 0.291758 0.453984i
\(397\) −461.769 + 400.125i −1.16315 + 1.00787i −0.163373 + 0.986564i \(0.552238\pi\)
−0.999773 + 0.0213077i \(0.993217\pi\)
\(398\) 67.8886 + 472.176i 0.170574 + 1.18637i
\(399\) 221.350 + 64.9943i 0.554763 + 0.162893i
\(400\) −86.9676 + 49.3624i −0.217419 + 0.123406i
\(401\) −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
\(405\) 146.951 + 243.094i 0.362842 + 0.600231i
\(406\) 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 \(0.563564\pi\)
\(410\) −283.080 + 309.110i −0.690439 + 0.753926i
\(411\) −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 \(0.822961\pi\)
\(420\) 70.4229 + 85.9329i 0.167673 + 0.204602i
\(421\) −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
\(425\) 31.1218 59.2942i 0.0732278 0.139516i
\(426\) −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
\(430\) 11.4893 + 99.1822i 0.0267193 + 0.230656i
\(431\) 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 \(0.490521\pi\)
−0.993620 + 0.112779i \(0.964025\pi\)
\(434\) 56.9112 + 193.822i 0.131132 + 0.446594i
\(435\) −5.56566 13.1301i −0.0127946 0.0301842i
\(436\) 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 \(0.937009\pi\)
\(440\) 47.7855 + 180.995i 0.108604 + 0.411352i
\(441\) −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 −0.833574 0.552408i \(-0.813709\pi\)
0.428155 + 0.903705i \(0.359164\pi\)
\(444\) 116.809 16.7946i 0.263083 0.0378256i
\(445\) −34.9421 11.3114i −0.0785216 0.0254189i
\(446\) −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 \(-0.0843247\pi\)
\(450\) −279.836 56.0693i −0.621857 0.124598i
\(451\) 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
\(455\) 97.0490 + 66.2058i 0.213295 + 0.145507i
\(456\) −42.7514 37.0443i −0.0937530 0.0812374i
\(457\) 5.18302 1.52187i 0.0113414 0.00333014i −0.276057 0.961141i \(-0.589028\pi\)
0.287398 + 0.957811i \(0.407210\pi\)
\(458\) −139.083 304.549i −0.303675 0.664954i
\(459\) 44.0469i 0.0959628i
\(460\) 140.198 182.331i 0.304778 0.396372i
\(461\) −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 0.999694 0.0247548i \(-0.00788052\pi\)
−0.854379 + 0.519650i \(0.826062\pi\)
\(464\) −7.75668 + 8.95168i −0.0167170 + 0.0192924i
\(465\) 49.2655 + 33.6084i 0.105947 + 0.0722761i
\(466\) 259.557 + 299.545i 0.556989 + 0.642800i
\(467\) −91.3615 635.433i −0.195635 1.36067i −0.816768 0.576966i \(-0.804237\pi\)
0.621133 0.783705i \(-0.286672\pi\)
\(468\) −9.26504 + 31.5538i −0.0197971 + 0.0674227i
\(469\) 818.513 526.026i 1.74523 1.12159i
\(470\) 6.55043 + 1.12627i 0.0139371 + 0.00239631i
\(471\) 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
\(475\) 173.381 489.292i 0.365014 1.03009i
\(476\) 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 \(0.473009\pi\)
\(480\) −6.95435 26.3407i −0.0144882 0.0548764i
\(481\) 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
\(485\) 9.24902 3.92052i 0.0190701 0.00808354i
\(486\) −275.071 + 80.7680i −0.565989 + 0.166189i
\(487\) −58.3164 50.5314i −0.119746 0.103761i 0.592929 0.805254i \(-0.297971\pi\)
−0.712676 + 0.701494i \(0.752517\pi\)
\(488\) −147.312 94.6715i −0.301868 0.193999i
\(489\) −106.100 122.446i −0.216973 0.250400i
\(490\) −68.3911 590.392i −0.139574 1.20488i
\(491\) −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
\(495\) −235.204 + 479.695i −0.475159 + 0.969082i
\(496\) 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 \(-0.197562\pi\)
\(500\) 201.774 147.605i 0.403548 0.295209i
\(501\) −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 0.176438 0.984312i \(-0.443542\pi\)
0.680588 + 0.732666i \(0.261724\pi\)
\(504\) 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 \(0.587759\pi\)
\(510\) 13.4542 + 12.3212i 0.0263807 + 0.0241593i
\(511\) −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
\(515\) 301.852 + 499.338i 0.586121 + 0.969589i
\(516\) −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
\(520\) −14.9027 24.6528i −0.0286591 0.0474092i
\(521\) 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 0.648986 0.760801i \(-0.275194\pi\)
−0.845417 + 0.534107i \(0.820648\pi\)
\(524\) 61.5644 + 39.5651i 0.117489 + 0.0755058i
\(525\) −199.609 193.146i −0.380207 0.367897i
\(526\) −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
\(535\) −488.007 + 399.927i −0.912163 + 0.747527i
\(536\) −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
\(540\) 72.3936 147.646i 0.134062 0.273418i
\(541\) 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
\(545\) −84.1431 726.372i −0.154391 1.33279i
\(546\) −24.1882 + 20.9592i −0.0443007 + 0.0383868i
\(547\) −439.771 + 684.296i −0.803968 + 1.25100i 0.160562 + 0.987026i \(0.448669\pi\)
−0.964530 + 0.263973i \(0.914967\pi\)
\(548\) 8.08335 9.32868i 0.0147506 0.0170231i
\(549\) −140.798 479.515i −0.256463 0.873434i
\(550\) −170.738 435.735i −0.310433 0.792246i
\(551\) 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
\(555\) −285.251 + 75.3106i −0.513965 + 0.135695i
\(556\) 234.982 271.183i 0.422629 0.487740i
\(557\) 173.668 + 111.609i 0.311791 + 0.200376i 0.687172 0.726495i \(-0.258852\pi\)
−0.375381 + 0.926871i \(0.622488\pi\)
\(558\) 106.837 92.5749i 0.191464 0.165905i
\(559\) −28.4699 + 4.09335i −0.0509300 + 0.00732263i
\(560\) −71.0508 + 219.483i −0.126876 + 0.391934i
\(561\) 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 \(0.395942\pi\)
−0.926012 + 0.377495i \(0.876786\pi\)
\(564\) −0.752206 + 1.64710i −0.00133370 + 0.00292039i
\(565\) 999.975 + 171.934i 1.76987 + 0.304308i
\(566\) −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 \(0.902426\pi\)
\(570\) 116.825 + 79.6969i 0.204957 + 0.139819i
\(571\) 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
\(575\) −295.714 + 493.131i −0.514285 + 0.857619i
\(576\) −64.5781 −0.112115
\(577\) 340.028 155.286i 0.589304 0.269126i −0.0983651 0.995150i \(-0.531361\pi\)
0.687669 + 0.726024i \(0.258634\pi\)
\(578\) −112.288 382.416i −0.194269 0.661620i
\(579\) 234.768 270.937i 0.405472 0.467939i
\(580\) 16.6877 24.4620i 0.0287719 0.0421758i
\(581\) 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
\(585\) 13.9314 81.0259i 0.0238144 0.138506i
\(586\) 74.6194 + 34.0775i 0.127337 + 0.0581528i
\(587\) −699.505 319.453i −1.19166 0.544213i −0.281940 0.959432i \(-0.590978\pi\)
−0.909722 + 0.415219i \(0.863705\pi\)
\(588\) 160.269 + 23.0433i 0.272567 + 0.0391892i
\(589\) 139.013 + 216.309i 0.236016 + 0.367248i
\(590\) 344.848 + 111.634i 0.584488 + 0.189210i
\(591\) −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 −0.924312 0.381638i \(-0.875360\pi\)
0.731123 + 0.682245i \(0.238996\pi\)
\(594\) −232.638 201.582i −0.391647 0.339364i
\(595\) −39.4357 149.369i −0.0662786 0.251040i
\(596\) −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 \(0.590513\pi\)
\(600\) 24.8480 + 63.4136i 0.0414133 + 0.105689i
\(601\) 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
\(605\) −269.266 + 31.1918i −0.445068 + 0.0515567i
\(606\) −84.4366 24.7928i −0.139334 0.0409123i
\(607\) −143.054 222.597i −0.235675 0.366717i 0.703191 0.711001i \(-0.251758\pi\)
−0.938865 + 0.344284i \(0.888122\pi\)
\(608\) 16.7162 116.264i 0.0274938 0.191224i
\(609\) −29.9266 13.6670i −0.0491406 0.0224418i
\(610\) 393.068 + 192.728i 0.644374 + 0.315948i
\(611\) −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 0.382047 0.924143i \(-0.375219\pi\)
−0.178231 + 0.983989i \(0.557038\pi\)
\(614\) 116.101 + 807.497i 0.189089 + 1.31514i
\(615\) 180.947 + 220.799i 0.294223 + 0.359023i
\(616\) 363.301 + 233.480i 0.589775 + 0.379025i
\(617\) 290.786 335.585i 0.471290 0.543898i −0.469480 0.882943i \(-0.655559\pi\)
0.940770 + 0.339045i \(0.110104\pi\)
\(618\) −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
\(625\) −458.622 + 424.606i −0.733796 + 0.679370i
\(626\) 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
\(630\) −563.452 + 340.610i −0.894369 + 0.540650i
\(631\) −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
\(635\) 206.353 124.742i 0.324966 0.196443i
\(636\) 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
\(640\) 38.2049 41.7179i 0.0596952 0.0651842i
\(641\) −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 \(-0.269838\pi\)
0.661694 + 0.749774i \(0.269838\pi\)
\(644\) −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 0.890759 0.454476i \(-0.150173\pi\)
−0.995062 + 0.0992513i \(0.968355\pi\)
\(648\) −121.440 105.228i −0.187407 0.162389i
\(649\) 366.839 570.813i 0.565237 0.879527i
\(650\) 44.1014 + 56.9354i 0.0678483 + 0.0875930i
\(651\) 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 \(0.0509637\pi\)
−0.265085 + 0.964225i \(0.585400\pi\)
\(654\) 197.183 + 28.3506i 0.301503 + 0.0433496i
\(655\) −164.271 80.5449i −0.250795 0.122969i
\(656\) 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 \(0.175103\pi\)
\(660\) 126.649 14.6711i 0.191893 0.0222289i
\(661\) 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
\(665\) −467.370 1102.59i −0.702812 1.65803i
\(666\) 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
\(670\) 576.687 152.254i 0.860727 0.227245i
\(671\) 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 −0.900386 0.435091i \(-0.856716\pi\)
0.302524 + 0.953142i \(0.402171\pi\)
\(674\) −829.022 + 119.195i −1.23000 + 0.176848i
\(675\) −137.307 + 387.489i −0.203418 + 0.574058i
\(676\) −277.363 + 178.250i −0.410300 + 0.263684i
\(677\) −98.7908 + 687.105i −0.145924 + 1.01493i 0.776878 + 0.629652i \(0.216802\pi\)
−0.922802 + 0.385274i \(0.874107\pi\)
\(678\) −114.830 + 251.443i −0.169366 + 0.370860i
\(679\) 9.62722 21.0807i 0.0141785 0.0310466i
\(680\) −6.41906 + 37.3336i −0.00943979 + 0.0549023i
\(681\) −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 −0.487164 0.873311i \(-0.661969\pi\)
−0.221390 + 0.975185i \(0.571059\pi\)
\(684\) 253.347 219.527i 0.370391 0.320946i
\(685\) −17.3905 + 25.4922i −0.0253876 + 0.0372148i
\(686\) −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
\(690\) −109.329 112.187i −0.158448 0.162590i
\(691\) 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
\(695\) −505.539 + 741.054i −0.727394 + 1.06626i
\(696\) 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
\(700\) 113.307 565.502i 0.161867 0.807860i
\(701\) 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
\(705\) 1.39419 4.30679i 0.00197758 0.00610893i
\(706\) −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 \(0.730677\pi\)
\(710\) 828.029 218.613i 1.16624 0.307905i
\(711\) −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
\(715\) 124.124 52.6144i 0.173601 0.0735866i
\(716\) 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 \(0.612827\pi\)
\(720\) 160.373 18.5776i 0.222740 0.0258022i
\(721\) 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
\(725\) −34.4050 + 65.5493i −0.0474551 + 0.0904129i
\(726\) 10.5096 73.0957i 0.0144760 0.100683i
\(727\) 516.924 332.207i 0.711037 0.456956i −0.134472 0.990917i \(-0.542934\pi\)
0.845509 + 0.533962i \(0.179297\pi\)
\(728\) −63.7652 18.7231i −0.0875895 0.0257186i
\(729\) −44.9787 312.834i −0.0616991 0.429127i
\(730\) −83.0052 + 68.0236i −0.113706 + 0.0931830i
\(731\) 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 0.495792 0.868441i \(-0.334878\pi\)
0.886602 + 0.462534i \(0.153060\pi\)
\(734\) 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 \(0.251227\pi\)
\(740\) −451.775 413.732i −0.610507 0.559097i
\(741\) −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 0.967364 0.253391i \(-0.0815458\pi\)
−0.999567 + 0.0294113i \(0.990637\pi\)
\(744\) −32.3694 9.50452i −0.0435073 0.0127749i
\(745\) 308.671 186.593i 0.414323 0.250460i
\(746\) 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
\(750\) −79.9499 150.333i −0.106600 0.200444i
\(751\) −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
\(755\) 280.254 + 256.654i 0.371197 + 0.339940i
\(756\) −106.877 363.989i −0.141371 0.481466i
\(757\) −509.116 1114.81i −0.672544 1.47267i −0.870354 0.492426i \(-0.836110\pi\)
0.197810 0.980240i \(-0.436617\pi\)
\(758\) 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
\(765\) −83.6200 + 68.5274i −0.109307 + 0.0895783i
\(766\) 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 \(0.620140\pi\)
\(770\) −969.386 475.308i −1.25894 0.617283i
\(771\) −94.7530 + 207.480i −0.122896 + 0.269105i
\(772\) 736.824 + 105.939i 0.954435 + 0.137227i
\(773\) −1031.55 + 662.936i −1.33447 + 0.857615i −0.996504