Properties

Label 210.3.w.a.47.3
Level 210
Weight 3
Character 210.47
Analytic conductor 5.722
Analytic rank 0
Dimension 64
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 210.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.72208555157\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(16\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 47.3
Character \(\chi\) \(=\) 210.47
Dual form 210.3.w.a.143.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.366025 + 1.36603i) q^{2} +(-2.45437 + 1.72513i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(2.65653 - 4.23590i) q^{5} +(-3.25493 - 2.72129i) q^{6} +(3.47039 - 6.07917i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(3.04785 - 8.46821i) q^{9} +O(q^{10})\) \(q+(0.366025 + 1.36603i) q^{2} +(-2.45437 + 1.72513i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(2.65653 - 4.23590i) q^{5} +(-3.25493 - 2.72129i) q^{6} +(3.47039 - 6.07917i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(3.04785 - 8.46821i) q^{9} +(6.75870 + 2.07845i) q^{10} +(5.23131 - 3.02030i) q^{11} +(2.52596 - 5.44238i) q^{12} +(7.33446 + 7.33446i) q^{13} +(9.57456 + 2.51551i) q^{14} +(0.787362 + 14.9793i) q^{15} +(2.00000 - 3.46410i) q^{16} +(6.03451 - 22.5211i) q^{17} +(12.6834 + 1.06386i) q^{18} +(-17.0920 + 29.6042i) q^{19} +(-0.365356 + 9.99332i) q^{20} +(1.96974 + 20.9074i) q^{21} +(6.04060 + 6.04060i) q^{22} +(26.5519 - 7.11456i) q^{23} +(8.35900 + 1.45848i) q^{24} +(-10.8856 - 22.5056i) q^{25} +(-7.33446 + 12.7037i) q^{26} +(7.12823 + 26.0420i) q^{27} +(0.0682753 + 13.9998i) q^{28} -6.86667 q^{29} +(-20.1739 + 6.55837i) q^{30} +(38.9114 - 22.4655i) q^{31} +(5.46410 + 1.46410i) q^{32} +(-7.62915 + 16.4376i) q^{33} +32.9732 q^{34} +(-16.5315 - 30.8498i) q^{35} +(3.18919 + 17.7152i) q^{36} +(34.1241 - 9.14352i) q^{37} +(-46.6962 - 12.5122i) q^{38} +(-30.6544 - 5.34857i) q^{39} +(-13.7849 + 3.15873i) q^{40} -18.2221 q^{41} +(-27.8391 + 10.3434i) q^{42} +(17.2571 - 17.2571i) q^{43} +(-6.04060 + 10.4626i) q^{44} +(-27.7738 - 35.4065i) q^{45} +(19.4373 + 33.6664i) q^{46} +(-23.3212 + 6.24890i) q^{47} +(1.06729 + 11.9524i) q^{48} +(-24.9127 - 42.1943i) q^{49} +(26.7588 - 23.1077i) q^{50} +(24.0409 + 65.6854i) q^{51} +(-20.0381 - 5.36920i) q^{52} +(20.7100 - 77.2906i) q^{53} +(-32.9650 + 19.2694i) q^{54} +(1.10348 - 30.1828i) q^{55} +(-19.0991 + 5.21756i) q^{56} +(-9.12106 - 102.145i) q^{57} +(-2.51338 - 9.38005i) q^{58} +(-97.9689 + 56.5624i) q^{59} +(-16.3431 - 25.1576i) q^{60} +(16.8856 + 9.74888i) q^{61} +(44.9310 + 44.9310i) q^{62} +(-40.9025 - 47.9164i) q^{63} +8.00000i q^{64} +(50.5523 - 11.5838i) q^{65} +(-25.2467 - 4.40503i) q^{66} +(-2.92860 + 10.9297i) q^{67} +(12.0690 + 45.0422i) q^{68} +(-52.8946 + 63.2672i) q^{69} +(36.0906 - 33.8743i) q^{70} +80.6556i q^{71} +(-23.0321 + 10.8407i) q^{72} +(-0.519481 + 1.93873i) q^{73} +(24.9805 + 43.2676i) q^{74} +(65.5425 + 36.4579i) q^{75} -68.3679i q^{76} +(-0.206212 - 42.2837i) q^{77} +(-3.91400 - 43.8324i) q^{78} +(73.1841 + 42.2528i) q^{79} +(-9.36051 - 17.6743i) q^{80} +(-62.4212 - 51.6196i) q^{81} +(-6.66976 - 24.8919i) q^{82} +(4.56113 - 4.56113i) q^{83} +(-24.3191 - 34.2430i) q^{84} +(-79.3662 - 85.3897i) q^{85} +(29.8902 + 17.2571i) q^{86} +(16.8533 - 11.8459i) q^{87} +(-16.5032 - 4.42202i) q^{88} +(-21.5716 - 12.4544i) q^{89} +(38.2002 - 50.8993i) q^{90} +(70.0410 - 19.1340i) q^{91} +(-38.8747 + 38.8747i) q^{92} +(-56.7469 + 122.266i) q^{93} +(-17.0723 - 29.5701i) q^{94} +(79.9948 + 151.044i) q^{95} +(-15.9367 + 5.83284i) q^{96} +(-38.4454 + 38.4454i) q^{97} +(48.5197 - 49.4756i) q^{98} +(-9.63229 - 53.5053i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + O(q^{10}) \) \( 64q - 32q^{2} - 6q^{3} - 12q^{5} + 4q^{7} - 128q^{8} - 16q^{9} + 24q^{10} + 12q^{12} - 16q^{14} - 44q^{15} + 128q^{16} - 20q^{18} + 36q^{21} + 16q^{22} - 12q^{23} - 16q^{25} + 8q^{28} - 112q^{29} + 26q^{30} + 128q^{32} + 30q^{33} + 16q^{36} - 32q^{37} + 24q^{38} + 64q^{39} - 136q^{42} + 32q^{43} - 16q^{44} - 114q^{45} - 24q^{46} - 96q^{47} + 40q^{50} - 84q^{51} + 56q^{53} - 72q^{54} - 316q^{57} + 56q^{58} + 672q^{59} + 8q^{60} + 600q^{61} - 210q^{63} + 28q^{65} + 16q^{67} + 24q^{72} - 624q^{73} - 64q^{74} + 48q^{75} + 208q^{77} - 8q^{78} - 48q^{80} - 64q^{81} - 192q^{82} + 160q^{84} - 152q^{85} + 60q^{87} - 16q^{88} + 144q^{89} - 232q^{91} + 48q^{92} - 170q^{93} + 136q^{95} - 48q^{96} + 128q^{98} + 160q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(71\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.366025 + 1.36603i 0.183013 + 0.683013i
\(3\) −2.45437 + 1.72513i −0.818123 + 0.575044i
\(4\) −1.73205 + 1.00000i −0.433013 + 0.250000i
\(5\) 2.65653 4.23590i 0.531307 0.847179i
\(6\) −3.25493 2.72129i −0.542489 0.453548i
\(7\) 3.47039 6.07917i 0.495771 0.868454i
\(8\) −2.00000 2.00000i −0.250000 0.250000i
\(9\) 3.04785 8.46821i 0.338650 0.940913i
\(10\) 6.75870 + 2.07845i 0.675870 + 0.207845i
\(11\) 5.23131 3.02030i 0.475574 0.274573i −0.242996 0.970027i \(-0.578130\pi\)
0.718570 + 0.695455i \(0.244797\pi\)
\(12\) 2.52596 5.44238i 0.210497 0.453532i
\(13\) 7.33446 + 7.33446i 0.564189 + 0.564189i 0.930495 0.366305i \(-0.119377\pi\)
−0.366305 + 0.930495i \(0.619377\pi\)
\(14\) 9.57456 + 2.51551i 0.683897 + 0.179680i
\(15\) 0.787362 + 14.9793i 0.0524908 + 0.998621i
\(16\) 2.00000 3.46410i 0.125000 0.216506i
\(17\) 6.03451 22.5211i 0.354971 1.32477i −0.525549 0.850763i \(-0.676140\pi\)
0.880520 0.474008i \(-0.157193\pi\)
\(18\) 12.6834 + 1.06386i 0.704632 + 0.0591032i
\(19\) −17.0920 + 29.6042i −0.899578 + 1.55811i −0.0715438 + 0.997437i \(0.522793\pi\)
−0.828034 + 0.560678i \(0.810541\pi\)
\(20\) −0.365356 + 9.99332i −0.0182678 + 0.499666i
\(21\) 1.96974 + 20.9074i 0.0937974 + 0.995591i
\(22\) 6.04060 + 6.04060i 0.274573 + 0.274573i
\(23\) 26.5519 7.11456i 1.15443 0.309329i 0.369691 0.929155i \(-0.379464\pi\)
0.784739 + 0.619826i \(0.212797\pi\)
\(24\) 8.35900 + 1.45848i 0.348292 + 0.0607698i
\(25\) −10.8856 22.5056i −0.435426 0.900225i
\(26\) −7.33446 + 12.7037i −0.282095 + 0.488602i
\(27\) 7.12823 + 26.0420i 0.264009 + 0.964520i
\(28\) 0.0682753 + 13.9998i 0.00243840 + 0.499994i
\(29\) −6.86667 −0.236782 −0.118391 0.992967i \(-0.537774\pi\)
−0.118391 + 0.992967i \(0.537774\pi\)
\(30\) −20.1739 + 6.55837i −0.672465 + 0.218612i
\(31\) 38.9114 22.4655i 1.25520 0.724693i 0.283066 0.959100i \(-0.408648\pi\)
0.972138 + 0.234407i \(0.0753150\pi\)
\(32\) 5.46410 + 1.46410i 0.170753 + 0.0457532i
\(33\) −7.62915 + 16.4376i −0.231186 + 0.498110i
\(34\) 32.9732 0.969800
\(35\) −16.5315 30.8498i −0.472330 0.881422i
\(36\) 3.18919 + 17.7152i 0.0885885 + 0.492090i
\(37\) 34.1241 9.14352i 0.922272 0.247122i 0.233716 0.972305i \(-0.424911\pi\)
0.688556 + 0.725183i \(0.258245\pi\)
\(38\) −46.6962 12.5122i −1.22885 0.329268i
\(39\) −30.6544 5.34857i −0.786010 0.137143i
\(40\) −13.7849 + 3.15873i −0.344622 + 0.0789681i
\(41\) −18.2221 −0.444442 −0.222221 0.974996i \(-0.571331\pi\)
−0.222221 + 0.974996i \(0.571331\pi\)
\(42\) −27.8391 + 10.3434i −0.662835 + 0.246271i
\(43\) 17.2571 17.2571i 0.401329 0.401329i −0.477372 0.878701i \(-0.658411\pi\)
0.878701 + 0.477372i \(0.158411\pi\)
\(44\) −6.04060 + 10.4626i −0.137286 + 0.237787i
\(45\) −27.7738 35.4065i −0.617195 0.786810i
\(46\) 19.4373 + 33.6664i 0.422551 + 0.731879i
\(47\) −23.3212 + 6.24890i −0.496196 + 0.132955i −0.498234 0.867043i \(-0.666018\pi\)
0.00203792 + 0.999998i \(0.499351\pi\)
\(48\) 1.06729 + 11.9524i 0.0222352 + 0.249009i
\(49\) −24.9127 42.1943i −0.508423 0.861107i
\(50\) 26.7588 23.1077i 0.535176 0.462154i
\(51\) 24.0409 + 65.6854i 0.471391 + 1.28795i
\(52\) −20.0381 5.36920i −0.385349 0.103254i
\(53\) 20.7100 77.2906i 0.390754 1.45831i −0.438139 0.898907i \(-0.644362\pi\)
0.828893 0.559407i \(-0.188971\pi\)
\(54\) −32.9650 + 19.2694i −0.610463 + 0.356841i
\(55\) 1.10348 30.1828i 0.0200633 0.548779i
\(56\) −19.0991 + 5.21756i −0.341056 + 0.0931707i
\(57\) −9.12106 102.145i −0.160019 1.79203i
\(58\) −2.51338 9.38005i −0.0433341 0.161725i
\(59\) −97.9689 + 56.5624i −1.66049 + 0.958684i −0.688009 + 0.725702i \(0.741515\pi\)
−0.972481 + 0.232982i \(0.925152\pi\)
\(60\) −16.3431 25.1576i −0.272385 0.419293i
\(61\) 16.8856 + 9.74888i 0.276812 + 0.159818i 0.631979 0.774985i \(-0.282243\pi\)
−0.355167 + 0.934803i \(0.615576\pi\)
\(62\) 44.9310 + 44.9310i 0.724693 + 0.724693i
\(63\) −40.9025 47.9164i −0.649246 0.760578i
\(64\) 8.00000i 0.125000i
\(65\) 50.5523 11.5838i 0.777727 0.178212i
\(66\) −25.2467 4.40503i −0.382525 0.0667429i
\(67\) −2.92860 + 10.9297i −0.0437104 + 0.163130i −0.984331 0.176330i \(-0.943577\pi\)
0.940621 + 0.339459i \(0.110244\pi\)
\(68\) 12.0690 + 45.0422i 0.177486 + 0.662386i
\(69\) −52.8946 + 63.2672i −0.766588 + 0.916916i
\(70\) 36.0906 33.8743i 0.515580 0.483919i
\(71\) 80.6556i 1.13599i 0.823030 + 0.567997i \(0.192282\pi\)
−0.823030 + 0.567997i \(0.807718\pi\)
\(72\) −23.0321 + 10.8407i −0.319891 + 0.150566i
\(73\) −0.519481 + 1.93873i −0.00711618 + 0.0265579i −0.969393 0.245516i \(-0.921043\pi\)
0.962276 + 0.272074i \(0.0877094\pi\)
\(74\) 24.9805 + 43.2676i 0.337575 + 0.584697i
\(75\) 65.5425 + 36.4579i 0.873900 + 0.486105i
\(76\) 68.3679i 0.899578i
\(77\) −0.206212 42.2837i −0.00267807 0.549139i
\(78\) −3.91400 43.8324i −0.0501796 0.561954i
\(79\) 73.1841 + 42.2528i 0.926381 + 0.534846i 0.885665 0.464325i \(-0.153703\pi\)
0.0407156 + 0.999171i \(0.487036\pi\)
\(80\) −9.36051 17.6743i −0.117006 0.220929i
\(81\) −62.4212 51.6196i −0.770633 0.637280i
\(82\) −6.66976 24.8919i −0.0813385 0.303559i
\(83\) 4.56113 4.56113i 0.0549533 0.0549533i −0.679096 0.734049i \(-0.737628\pi\)
0.734049 + 0.679096i \(0.237628\pi\)
\(84\) −24.3191 34.2430i −0.289513 0.407654i
\(85\) −79.3662 85.3897i −0.933720 1.00458i
\(86\) 29.8902 + 17.2571i 0.347561 + 0.200664i
\(87\) 16.8533 11.8459i 0.193717 0.136160i
\(88\) −16.5032 4.42202i −0.187537 0.0502503i
\(89\) −21.5716 12.4544i −0.242377 0.139937i 0.373892 0.927472i \(-0.378023\pi\)
−0.616269 + 0.787536i \(0.711357\pi\)
\(90\) 38.2002 50.8993i 0.424447 0.565548i
\(91\) 70.0410 19.1340i 0.769681 0.210264i
\(92\) −38.8747 + 38.8747i −0.422551 + 0.422551i
\(93\) −56.7469 + 122.266i −0.610182 + 1.31469i
\(94\) −17.0723 29.5701i −0.181620 0.314576i
\(95\) 79.9948 + 151.044i 0.842051 + 1.58994i
\(96\) −15.9367 + 5.83284i −0.166007 + 0.0607588i
\(97\) −38.4454 + 38.4454i −0.396345 + 0.396345i −0.876942 0.480597i \(-0.840420\pi\)
0.480597 + 0.876942i \(0.340420\pi\)
\(98\) 48.5197 49.4756i 0.495099 0.504853i
\(99\) −9.63229 53.5053i −0.0972959 0.540457i
\(100\) 41.3601 + 28.0952i 0.413601 + 0.280952i
\(101\) 11.7303 + 20.3175i 0.116142 + 0.201163i 0.918235 0.396035i \(-0.129614\pi\)
−0.802094 + 0.597198i \(0.796281\pi\)
\(102\) −80.9284 + 56.8831i −0.793416 + 0.557677i
\(103\) −181.632 + 48.6683i −1.76342 + 0.472507i −0.987406 0.158207i \(-0.949429\pi\)
−0.776015 + 0.630714i \(0.782762\pi\)
\(104\) 29.3379i 0.282095i
\(105\) 93.7944 + 47.1976i 0.893280 + 0.449501i
\(106\) 113.161 1.06756
\(107\) −21.5174 80.3041i −0.201097 0.750506i −0.990604 0.136763i \(-0.956330\pi\)
0.789506 0.613742i \(-0.210337\pi\)
\(108\) −38.3885 37.9779i −0.355449 0.351647i
\(109\) −28.9994 + 16.7428i −0.266049 + 0.153604i −0.627091 0.778946i \(-0.715755\pi\)
0.361042 + 0.932550i \(0.382421\pi\)
\(110\) 41.6344 9.54029i 0.378495 0.0867299i
\(111\) −67.9793 + 81.3100i −0.612426 + 0.732523i
\(112\) −14.1181 24.1801i −0.126054 0.215894i
\(113\) 12.6123 + 12.6123i 0.111613 + 0.111613i 0.760708 0.649095i \(-0.224852\pi\)
−0.649095 + 0.760708i \(0.724852\pi\)
\(114\) 136.195 49.8474i 1.19469 0.437258i
\(115\) 40.3995 131.371i 0.351300 1.14236i
\(116\) 11.8934 6.86667i 0.102530 0.0591954i
\(117\) 84.4641 39.7555i 0.721916 0.339790i
\(118\) −113.125 113.125i −0.958684 0.958684i
\(119\) −115.968 114.842i −0.974518 0.965059i
\(120\) 28.3839 31.5334i 0.236533 0.262778i
\(121\) −42.2556 + 73.1888i −0.349220 + 0.604866i
\(122\) −7.13668 + 26.6344i −0.0584973 + 0.218315i
\(123\) 44.7238 31.4355i 0.363608 0.255573i
\(124\) −44.9310 + 77.8227i −0.362346 + 0.627602i
\(125\) −124.250 13.6764i −0.993997 0.109412i
\(126\) 50.4837 73.4125i 0.400664 0.582639i
\(127\) 147.938 + 147.938i 1.16486 + 1.16486i 0.983397 + 0.181467i \(0.0580847\pi\)
0.181467 + 0.983397i \(0.441915\pi\)
\(128\) −10.9282 + 2.92820i −0.0853766 + 0.0228766i
\(129\) −12.5846 + 72.1262i −0.0975547 + 0.559118i
\(130\) 34.3272 + 64.8157i 0.264055 + 0.498583i
\(131\) −74.8356 + 129.619i −0.571264 + 0.989459i 0.425172 + 0.905113i \(0.360214\pi\)
−0.996436 + 0.0843465i \(0.973120\pi\)
\(132\) −3.22354 36.0999i −0.0244207 0.273484i
\(133\) 120.653 + 206.643i 0.907166 + 1.55371i
\(134\) −16.0022 −0.119419
\(135\) 129.248 + 38.9871i 0.957391 + 0.288794i
\(136\) −57.1113 + 32.9732i −0.419936 + 0.242450i
\(137\) −24.4126 6.54134i −0.178194 0.0477470i 0.168619 0.985681i \(-0.446069\pi\)
−0.346813 + 0.937934i \(0.612736\pi\)
\(138\) −105.785 49.0979i −0.766561 0.355782i
\(139\) 237.437 1.70818 0.854090 0.520125i \(-0.174115\pi\)
0.854090 + 0.520125i \(0.174115\pi\)
\(140\) 59.4832 + 36.9018i 0.424880 + 0.263585i
\(141\) 46.4587 55.5693i 0.329494 0.394108i
\(142\) −110.178 + 29.5220i −0.775899 + 0.207901i
\(143\) 60.5211 + 16.2166i 0.423225 + 0.113403i
\(144\) −23.2391 27.4945i −0.161382 0.190934i
\(145\) −18.2415 + 29.0865i −0.125804 + 0.200597i
\(146\) −2.83850 −0.0194418
\(147\) 133.936 + 60.5826i 0.911127 + 0.412126i
\(148\) −49.9611 + 49.9611i −0.337575 + 0.337575i
\(149\) 19.6566 34.0462i 0.131924 0.228498i −0.792494 0.609879i \(-0.791218\pi\)
0.924418 + 0.381381i \(0.124551\pi\)
\(150\) −25.8122 + 102.877i −0.172081 + 0.685848i
\(151\) −19.0601 33.0130i −0.126226 0.218629i 0.795986 0.605315i \(-0.206953\pi\)
−0.922211 + 0.386686i \(0.873620\pi\)
\(152\) 93.3923 25.0244i 0.614423 0.164634i
\(153\) −172.321 119.742i −1.12628 0.782631i
\(154\) 57.6851 15.7586i 0.374579 0.102329i
\(155\) 8.20789 224.505i 0.0529541 1.44842i
\(156\) 58.4435 21.3904i 0.374638 0.137118i
\(157\) 57.9306 + 15.5225i 0.368985 + 0.0988692i 0.438547 0.898708i \(-0.355493\pi\)
−0.0695618 + 0.997578i \(0.522160\pi\)
\(158\) −30.9312 + 115.437i −0.195767 + 0.730613i
\(159\) 82.5066 + 225.427i 0.518909 + 1.41778i
\(160\) 20.7174 19.2559i 0.129483 0.120350i
\(161\) 48.8949 186.104i 0.303695 1.15592i
\(162\) 47.6660 104.163i 0.294234 0.642982i
\(163\) −1.51316 5.64718i −0.00928317 0.0346453i 0.961129 0.276100i \(-0.0890421\pi\)
−0.970412 + 0.241455i \(0.922375\pi\)
\(164\) 31.5616 18.2221i 0.192449 0.111110i
\(165\) 49.3610 + 75.9834i 0.299157 + 0.460505i
\(166\) 7.90010 + 4.56113i 0.0475910 + 0.0274767i
\(167\) 6.13829 + 6.13829i 0.0367562 + 0.0367562i 0.725246 0.688490i \(-0.241726\pi\)
−0.688490 + 0.725246i \(0.741726\pi\)
\(168\) 37.8753 45.7543i 0.225448 0.272347i
\(169\) 61.4113i 0.363381i
\(170\) 87.5944 139.671i 0.515261 0.821595i
\(171\) 198.601 + 234.968i 1.16141 + 1.37408i
\(172\) −12.6331 + 47.1474i −0.0734483 + 0.274113i
\(173\) 52.1359 + 194.574i 0.301363 + 1.12470i 0.936031 + 0.351918i \(0.114470\pi\)
−0.634668 + 0.772785i \(0.718863\pi\)
\(174\) 22.3506 + 18.6862i 0.128451 + 0.107392i
\(175\) −174.593 11.9276i −0.997675 0.0681577i
\(176\) 24.1624i 0.137286i
\(177\) 142.874 307.834i 0.807199 1.73918i
\(178\) 9.11722 34.0259i 0.0512203 0.191157i
\(179\) −17.6436 30.5596i −0.0985676 0.170724i 0.812524 0.582927i \(-0.198093\pi\)
−0.911092 + 0.412203i \(0.864759\pi\)
\(180\) 83.5120 + 33.5520i 0.463956 + 0.186400i
\(181\) 194.579i 1.07502i 0.843258 + 0.537510i \(0.180635\pi\)
−0.843258 + 0.537510i \(0.819365\pi\)
\(182\) 51.7743 + 88.6742i 0.284474 + 0.487221i
\(183\) −58.2615 + 5.20245i −0.318369 + 0.0284287i
\(184\) −67.3329 38.8747i −0.365940 0.211275i
\(185\) 51.9208 168.836i 0.280653 0.912628i
\(186\) −187.789 32.7653i −1.00962 0.176158i
\(187\) −36.4521 136.041i −0.194931 0.727492i
\(188\) 34.1446 34.1446i 0.181620 0.181620i
\(189\) 183.052 + 47.0424i 0.968529 + 0.248902i
\(190\) −177.050 + 164.561i −0.931844 + 0.866111i
\(191\) 114.428 + 66.0651i 0.599100 + 0.345890i 0.768687 0.639625i \(-0.220910\pi\)
−0.169588 + 0.985515i \(0.554244\pi\)
\(192\) −13.8010 19.6349i −0.0718804 0.102265i
\(193\) −203.018 54.3985i −1.05191 0.281858i −0.308867 0.951105i \(-0.599950\pi\)
−0.743039 + 0.669248i \(0.766617\pi\)
\(194\) −66.5894 38.4454i −0.343244 0.198172i
\(195\) −104.090 + 115.640i −0.533797 + 0.593026i
\(196\) 85.3444 + 48.1699i 0.435430 + 0.245765i
\(197\) −94.5121 + 94.5121i −0.479757 + 0.479757i −0.905054 0.425297i \(-0.860170\pi\)
0.425297 + 0.905054i \(0.360170\pi\)
\(198\) 69.5639 32.7422i 0.351333 0.165365i
\(199\) −182.775 316.575i −0.918465 1.59083i −0.801748 0.597663i \(-0.796096\pi\)
−0.116717 0.993165i \(-0.537237\pi\)
\(200\) −23.2399 + 66.7825i −0.116200 + 0.333913i
\(201\) −11.6673 31.8777i −0.0580461 0.158595i
\(202\) −23.4606 + 23.4606i −0.116142 + 0.116142i
\(203\) −23.8301 + 41.7437i −0.117389 + 0.205634i
\(204\) −107.326 89.7296i −0.526106 0.439851i
\(205\) −48.4077 + 77.1870i −0.236135 + 0.376522i
\(206\) −132.964 230.301i −0.645457 1.11796i
\(207\) 20.6785 246.531i 0.0998963 1.19097i
\(208\) 40.0763 10.7384i 0.192674 0.0516269i
\(209\) 206.492i 0.987998i
\(210\) −30.1421 + 145.401i −0.143534 + 0.692386i
\(211\) 49.4419 0.234322 0.117161 0.993113i \(-0.462621\pi\)
0.117161 + 0.993113i \(0.462621\pi\)
\(212\) 41.4199 + 154.581i 0.195377 + 0.729157i
\(213\) −139.141 197.959i −0.653246 0.929383i
\(214\) 101.822 58.7867i 0.475801 0.274704i
\(215\) −27.2553 118.944i −0.126769 0.553226i
\(216\) 37.8276 66.3406i 0.175128 0.307132i
\(217\) −1.53384 314.513i −0.00706837 1.44937i
\(218\) −33.4856 33.4856i −0.153604 0.153604i
\(219\) −2.06956 5.65453i −0.00945006 0.0258198i
\(220\) 28.2715 + 53.3817i 0.128507 + 0.242644i
\(221\) 209.440 120.920i 0.947693 0.547151i
\(222\) −135.954 63.0999i −0.612404 0.284234i
\(223\) 147.669 + 147.669i 0.662195 + 0.662195i 0.955897 0.293702i \(-0.0948873\pi\)
−0.293702 + 0.955897i \(0.594887\pi\)
\(224\) 27.8631 28.1362i 0.124389 0.125608i
\(225\) −223.760 + 23.5883i −0.994489 + 0.104837i
\(226\) −12.6123 + 21.8451i −0.0558066 + 0.0966599i
\(227\) −56.9475 + 212.531i −0.250870 + 0.936259i 0.719472 + 0.694522i \(0.244384\pi\)
−0.970342 + 0.241738i \(0.922283\pi\)
\(228\) 117.944 + 167.800i 0.517297 + 0.735965i
\(229\) −149.624 + 259.157i −0.653380 + 1.13169i 0.328917 + 0.944359i \(0.393316\pi\)
−0.982297 + 0.187329i \(0.940017\pi\)
\(230\) 194.244 + 7.10154i 0.844537 + 0.0308762i
\(231\) 73.4510 + 103.424i 0.317970 + 0.447723i
\(232\) 13.7333 + 13.7333i 0.0591954 + 0.0591954i
\(233\) 115.890 31.0526i 0.497381 0.133273i −0.00140324 0.999999i \(-0.500447\pi\)
0.498784 + 0.866726i \(0.333780\pi\)
\(234\) 85.2230 + 100.829i 0.364201 + 0.430892i
\(235\) −35.4839 + 115.387i −0.150995 + 0.491007i
\(236\) 113.125 195.938i 0.479342 0.830245i
\(237\) −252.512 + 22.5481i −1.06545 + 0.0951395i
\(238\) 114.430 200.450i 0.480798 0.842226i
\(239\) −395.609 −1.65527 −0.827634 0.561268i \(-0.810314\pi\)
−0.827634 + 0.561268i \(0.810314\pi\)
\(240\) 53.4646 + 27.2311i 0.222769 + 0.113463i
\(241\) −191.579 + 110.608i −0.794934 + 0.458956i −0.841697 0.539950i \(-0.818443\pi\)
0.0467624 + 0.998906i \(0.485110\pi\)
\(242\) −115.444 30.9332i −0.477043 0.127823i
\(243\) 242.255 + 19.0088i 0.996936 + 0.0782256i
\(244\) −38.9955 −0.159818
\(245\) −244.912 6.56277i −0.999641 0.0267868i
\(246\) 59.3118 + 49.5876i 0.241105 + 0.201576i
\(247\) −342.491 + 91.7703i −1.38660 + 0.371540i
\(248\) −122.754 32.8917i −0.494974 0.132628i
\(249\) −3.32615 + 19.0632i −0.0133580 + 0.0765591i
\(250\) −26.7961 174.734i −0.107184 0.698936i
\(251\) −231.794 −0.923482 −0.461741 0.887015i \(-0.652775\pi\)
−0.461741 + 0.887015i \(0.652775\pi\)
\(252\) 118.762 + 42.0912i 0.471276 + 0.167029i
\(253\) 117.413 117.413i 0.464083 0.464083i
\(254\) −147.938 + 256.236i −0.582432 + 1.00880i
\(255\) 342.102 + 72.6607i 1.34158 + 0.284944i
\(256\) −8.00000 13.8564i −0.0312500 0.0541266i
\(257\) 31.1578 8.34872i 0.121237 0.0324853i −0.197691 0.980264i \(-0.563344\pi\)
0.318927 + 0.947779i \(0.396677\pi\)
\(258\) −103.132 + 9.20920i −0.399738 + 0.0356946i
\(259\) 62.8389 239.178i 0.242621 0.923466i
\(260\) −75.9753 + 70.6160i −0.292213 + 0.271600i
\(261\) −20.9286 + 58.1484i −0.0801861 + 0.222791i
\(262\) −204.455 54.7835i −0.780362 0.209097i
\(263\) 43.2538 161.425i 0.164463 0.613785i −0.833645 0.552301i \(-0.813750\pi\)
0.998108 0.0614840i \(-0.0195833\pi\)
\(264\) 48.1335 17.6169i 0.182324 0.0667308i
\(265\) −272.378 293.051i −1.02784 1.10585i
\(266\) −238.118 + 240.452i −0.895180 + 0.903954i
\(267\) 74.4300 6.64621i 0.278764 0.0248922i
\(268\) −5.85720 21.8594i −0.0218552 0.0815648i
\(269\) 302.162 174.453i 1.12328 0.648526i 0.181043 0.983475i \(-0.442053\pi\)
0.942236 + 0.334949i \(0.108719\pi\)
\(270\) −5.94944 + 190.826i −0.0220349 + 0.706763i
\(271\) 17.0749 + 9.85817i 0.0630068 + 0.0363770i 0.531172 0.847264i \(-0.321752\pi\)
−0.468166 + 0.883641i \(0.655085\pi\)
\(272\) −65.9464 65.9464i −0.242450 0.242450i
\(273\) −138.898 + 167.792i −0.508783 + 0.614622i
\(274\) 35.7425i 0.130447i
\(275\) −124.920 84.8559i −0.454254 0.308567i
\(276\) 28.3489 162.477i 0.102713 0.588683i
\(277\) −57.9983 + 216.453i −0.209380 + 0.781417i 0.778690 + 0.627409i \(0.215885\pi\)
−0.988070 + 0.154008i \(0.950782\pi\)
\(278\) 86.9080 + 324.345i 0.312619 + 1.16671i
\(279\) −71.6466 397.981i −0.256798 1.42646i
\(280\) −28.6365 + 94.7626i −0.102273 + 0.338438i
\(281\) 226.986i 0.807780i 0.914808 + 0.403890i \(0.132342\pi\)
−0.914808 + 0.403890i \(0.867658\pi\)
\(282\) 92.9141 + 43.1240i 0.329483 + 0.152922i
\(283\) −24.8120 + 92.5997i −0.0876750 + 0.327208i −0.995807 0.0914758i \(-0.970842\pi\)
0.908132 + 0.418683i \(0.137508\pi\)
\(284\) −80.6556 139.700i −0.283999 0.491900i
\(285\) −456.908 232.717i −1.60319 0.816551i
\(286\) 88.6091i 0.309822i
\(287\) −63.2379 + 110.775i −0.220341 + 0.385977i
\(288\) 29.0521 41.8088i 0.100875 0.145169i
\(289\) −220.504 127.308i −0.762989 0.440512i
\(290\) −46.4098 14.2720i −0.160034 0.0492138i
\(291\) 28.0358 160.683i 0.0963431 0.552174i
\(292\) −1.03896 3.87746i −0.00355809 0.0132790i
\(293\) 190.809 190.809i 0.651224 0.651224i −0.302064 0.953288i \(-0.597675\pi\)
0.953288 + 0.302064i \(0.0976755\pi\)
\(294\) −33.7335 + 205.134i −0.114740 + 0.697735i
\(295\) −20.6654 + 565.246i −0.0700521 + 1.91609i
\(296\) −86.5352 49.9611i −0.292349 0.168787i
\(297\) 115.945 + 114.705i 0.390386 + 0.386211i
\(298\) 53.7028 + 14.3896i 0.180211 + 0.0482874i
\(299\) 246.925 + 142.562i 0.825837 + 0.476797i
\(300\) −149.981 + 2.39559i −0.499936 + 0.00798529i
\(301\) −45.0201 164.798i −0.149568 0.547502i
\(302\) 38.1201 38.1201i 0.126226 0.126226i
\(303\) −63.8407 29.6303i −0.210696 0.0977896i
\(304\) 68.3679 + 118.417i 0.224895 + 0.389529i
\(305\) 86.1523 45.6272i 0.282467 0.149598i
\(306\) 100.497 279.224i 0.328423 0.912497i
\(307\) 34.1553 34.1553i 0.111255 0.111255i −0.649288 0.760543i \(-0.724933\pi\)
0.760543 + 0.649288i \(0.224933\pi\)
\(308\) 42.6408 + 73.0313i 0.138444 + 0.237114i
\(309\) 361.834 432.789i 1.17098 1.40061i
\(310\) 309.684 70.9623i 0.998979 0.228911i
\(311\) −272.168 471.409i −0.875139 1.51579i −0.856614 0.515957i \(-0.827436\pi\)
−0.0185247 0.999828i \(-0.505897\pi\)
\(312\) 50.6116 + 72.0059i 0.162217 + 0.230788i
\(313\) 444.072 118.989i 1.41876 0.380155i 0.533716 0.845664i \(-0.320795\pi\)
0.885043 + 0.465509i \(0.154129\pi\)
\(314\) 84.8163i 0.270116i
\(315\) −311.628 + 45.9672i −0.989295 + 0.145927i
\(316\) −169.011 −0.534846
\(317\) −4.81445 17.9678i −0.0151875 0.0566806i 0.957916 0.287048i \(-0.0926739\pi\)
−0.973104 + 0.230367i \(0.926007\pi\)
\(318\) −277.740 + 195.218i −0.873395 + 0.613894i
\(319\) −35.9217 + 20.7394i −0.112607 + 0.0650138i
\(320\) 33.8872 + 21.2523i 0.105897 + 0.0664134i
\(321\) 191.347 + 159.975i 0.596096 + 0.498366i
\(322\) 272.119 1.32709i 0.845091 0.00412139i
\(323\) 563.577 + 563.577i 1.74482 + 1.74482i
\(324\) 159.736 + 26.9866i 0.493014 + 0.0832920i
\(325\) 85.2262 244.907i 0.262234 0.753560i
\(326\) 7.16033 4.13402i 0.0219642 0.0126810i
\(327\) 42.2917 91.1208i 0.129332 0.278657i
\(328\) 36.4442 + 36.4442i 0.111110 + 0.111110i
\(329\) −42.9457 + 163.460i −0.130534 + 0.496839i
\(330\) −85.7279 + 95.2402i −0.259782 + 0.288607i
\(331\) −82.1070 + 142.213i −0.248057 + 0.429648i −0.962987 0.269549i \(-0.913125\pi\)
0.714929 + 0.699197i \(0.246459\pi\)
\(332\) −3.33898 + 12.4612i −0.0100572 + 0.0375338i
\(333\) 26.5757 316.838i 0.0798070 0.951465i
\(334\) −6.13829 + 10.6318i −0.0183781 + 0.0318318i
\(335\) 38.5171 + 41.4403i 0.114976 + 0.123702i
\(336\) 76.3649 + 34.9914i 0.227277 + 0.104141i
\(337\) 182.945 + 182.945i 0.542865 + 0.542865i 0.924368 0.381503i \(-0.124593\pi\)
−0.381503 + 0.924368i \(0.624593\pi\)
\(338\) 83.8894 22.4781i 0.248194 0.0665033i
\(339\) −52.7131 9.19736i −0.155496 0.0271309i
\(340\) 222.856 + 68.5331i 0.655459 + 0.201568i
\(341\) 135.705 235.048i 0.397962 0.689290i
\(342\) −248.279 + 357.298i −0.725961 + 1.04473i
\(343\) −342.963 + 5.01807i −0.999893 + 0.0146300i
\(344\) −69.0285 −0.200664
\(345\) 127.477 + 392.127i 0.369499 + 1.13660i
\(346\) −246.710 + 142.438i −0.713033 + 0.411670i
\(347\) 73.7960 + 19.7736i 0.212669 + 0.0569844i 0.363580 0.931563i \(-0.381554\pi\)
−0.150912 + 0.988547i \(0.548221\pi\)
\(348\) −17.3449 + 37.3710i −0.0498418 + 0.107388i
\(349\) 601.421 1.72327 0.861634 0.507529i \(-0.169441\pi\)
0.861634 + 0.507529i \(0.169441\pi\)
\(350\) −47.6121 242.864i −0.136035 0.693898i
\(351\) −138.723 + 243.286i −0.395221 + 0.693123i
\(352\) 33.0064 8.84405i 0.0937683 0.0251251i
\(353\) 439.162 + 117.673i 1.24408 + 0.333351i 0.820048 0.572294i \(-0.193946\pi\)
0.424036 + 0.905645i \(0.360613\pi\)
\(354\) 472.805 + 82.4948i 1.33561 + 0.233036i
\(355\) 341.649 + 214.264i 0.962391 + 0.603562i
\(356\) 49.8174 0.139937
\(357\) 482.745 + 81.8053i 1.35223 + 0.229146i
\(358\) 35.2872 35.2872i 0.0985676 0.0985676i
\(359\) −99.2457 + 171.899i −0.276450 + 0.478826i −0.970500 0.241101i \(-0.922491\pi\)
0.694050 + 0.719927i \(0.255825\pi\)
\(360\) −15.2654 + 126.360i −0.0424039 + 0.351001i
\(361\) −403.772 699.353i −1.11848 1.93727i
\(362\) −265.799 + 71.2207i −0.734252 + 0.196742i
\(363\) −22.5495 252.529i −0.0621199 0.695672i
\(364\) −102.180 + 103.182i −0.280716 + 0.283467i
\(365\) 6.83224 + 7.35077i 0.0187185 + 0.0201391i
\(366\) −28.4319 77.6824i −0.0776827 0.212247i
\(367\) 454.536 + 121.793i 1.23852 + 0.331860i 0.817891 0.575373i \(-0.195143\pi\)
0.420628 + 0.907233i \(0.361810\pi\)
\(368\) 28.4582 106.208i 0.0773321 0.288607i
\(369\) −55.5382 + 154.309i −0.150510 + 0.418181i
\(370\) 249.639 + 9.12678i 0.674699 + 0.0246670i
\(371\) −397.992 394.129i −1.07275 1.06234i
\(372\) −23.9772 268.517i −0.0644549 0.721821i
\(373\) −70.1213 261.696i −0.187993 0.701599i −0.993970 0.109652i \(-0.965026\pi\)
0.805977 0.591947i \(-0.201640\pi\)
\(374\) 172.493 99.5889i 0.461211 0.266281i
\(375\) 328.548 180.780i 0.876128 0.482079i
\(376\) 59.1402 + 34.1446i 0.157288 + 0.0908102i
\(377\) −50.3633 50.3633i −0.133590 0.133590i
\(378\) 2.74053 + 267.272i 0.00725009 + 0.707070i
\(379\) 478.536i 1.26263i 0.775528 + 0.631314i \(0.217484\pi\)
−0.775528 + 0.631314i \(0.782516\pi\)
\(380\) −289.600 181.622i −0.762104 0.477952i
\(381\) −618.306 107.882i −1.62285 0.283154i
\(382\) −48.3630 + 180.493i −0.126605 + 0.472495i
\(383\) −110.418 412.087i −0.288299 1.07595i −0.946395 0.323012i \(-0.895305\pi\)
0.658096 0.752934i \(-0.271362\pi\)
\(384\) 21.7703 26.0395i 0.0566935 0.0678111i
\(385\) −179.657 111.455i −0.466642 0.289492i
\(386\) 297.239i 0.770049i
\(387\) −93.5400 198.734i −0.241705 0.513525i
\(388\) 28.1440 105.035i 0.0725361 0.270708i
\(389\) 116.515 + 201.810i 0.299524 + 0.518791i 0.976027 0.217649i \(-0.0698387\pi\)
−0.676503 + 0.736440i \(0.736505\pi\)
\(390\) −196.067 99.8629i −0.502736 0.256059i
\(391\) 640.911i 1.63916i
\(392\) −34.5631 + 134.214i −0.0881711 + 0.342383i
\(393\) −39.9357 447.234i −0.101618 1.13800i
\(394\) −163.700 94.5121i −0.415482 0.239878i
\(395\) 373.395 197.754i 0.945303 0.500643i
\(396\) 70.1889 + 83.0415i 0.177245 + 0.209701i
\(397\) 14.1665 + 52.8700i 0.0356838 + 0.133174i 0.981470 0.191616i \(-0.0613730\pi\)
−0.945786 + 0.324790i \(0.894706\pi\)
\(398\) 365.549 365.549i 0.918465 0.918465i
\(399\) −652.614 299.037i −1.63562 0.749465i
\(400\) −99.7330 7.30223i −0.249333 0.0182556i
\(401\) 396.262 + 228.782i 0.988184 + 0.570528i 0.904731 0.425984i \(-0.140072\pi\)
0.0834527 + 0.996512i \(0.473405\pi\)
\(402\) 39.2752 27.6058i 0.0976995 0.0686712i
\(403\) 450.166 + 120.622i 1.11704 + 0.299309i
\(404\) −40.6349 23.4606i −0.100582 0.0580708i
\(405\) −384.480 + 127.281i −0.949333 + 0.314273i
\(406\) −65.7453 17.2732i −0.161934 0.0425449i
\(407\) 150.897 150.897i 0.370755 0.370755i
\(408\) 83.2890 179.453i 0.204140 0.439835i
\(409\) 166.436 + 288.276i 0.406935 + 0.704832i 0.994545 0.104312i \(-0.0332642\pi\)
−0.587609 + 0.809145i \(0.699931\pi\)
\(410\) −123.158 37.8737i −0.300385 0.0923749i
\(411\) 71.2022 26.0601i 0.173241 0.0634066i
\(412\) 265.928 265.928i 0.645457 0.645457i
\(413\) 3.86181 + 791.864i 0.00935064 + 1.91735i
\(414\) 344.337 61.9892i 0.831731 0.149732i
\(415\) −7.20367 31.4373i −0.0173583 0.0757524i
\(416\) 29.3379 + 50.8146i 0.0705237 + 0.122151i
\(417\) −582.758 + 409.610i −1.39750 + 0.982278i
\(418\) −282.073 + 75.5812i −0.674815 + 0.180816i
\(419\) 377.243i 0.900341i 0.892943 + 0.450171i \(0.148637\pi\)
−0.892943 + 0.450171i \(0.851363\pi\)
\(420\) −209.654 + 12.0457i −0.499177 + 0.0286801i
\(421\) 197.759 0.469736 0.234868 0.972027i \(-0.424534\pi\)
0.234868 + 0.972027i \(0.424534\pi\)
\(422\) 18.0970 + 67.5389i 0.0428839 + 0.160045i
\(423\) −18.1625 + 216.535i −0.0429374 + 0.511902i
\(424\) −196.001 + 113.161i −0.462267 + 0.266890i
\(425\) −572.541 + 109.347i −1.34716 + 0.257286i
\(426\) 219.487 262.529i 0.515228 0.616265i
\(427\) 117.865 68.8178i 0.276030 0.161166i
\(428\) 117.573 + 117.573i 0.274704 + 0.274704i
\(429\) −176.517 + 64.6054i −0.411461 + 0.150595i
\(430\) 152.504 80.7678i 0.354660 0.187832i
\(431\) 142.518 82.2828i 0.330668 0.190911i −0.325469 0.945553i \(-0.605522\pi\)
0.656138 + 0.754641i \(0.272189\pi\)
\(432\) 104.469 + 27.3912i 0.241826 + 0.0634055i
\(433\) 346.623 + 346.623i 0.800515 + 0.800515i 0.983176 0.182661i \(-0.0584710\pi\)
−0.182661 + 0.983176i \(0.558471\pi\)
\(434\) 429.071 117.215i 0.988644 0.270081i
\(435\) −5.40656 102.858i −0.0124289 0.236455i
\(436\) 33.4856 57.9988i 0.0768019 0.133025i
\(437\) −243.204 + 907.649i −0.556530 + 2.07700i
\(438\) 6.96672 4.89678i 0.0159057 0.0111799i
\(439\) 269.647 467.043i 0.614230 1.06388i −0.376289 0.926502i \(-0.622800\pi\)
0.990519 0.137376i \(-0.0438668\pi\)
\(440\) −62.5726 + 58.1587i −0.142210 + 0.132179i
\(441\) −433.240 + 82.3646i −0.982404 + 0.186768i
\(442\) 241.841 + 241.841i 0.547151 + 0.547151i
\(443\) −341.272 + 91.4437i −0.770367 + 0.206419i −0.622533 0.782593i \(-0.713897\pi\)
−0.147833 + 0.989012i \(0.547230\pi\)
\(444\) 36.4335 208.812i 0.0820575 0.470298i
\(445\) −110.061 + 58.2896i −0.247328 + 0.130988i
\(446\) −147.669 + 255.771i −0.331097 + 0.573478i
\(447\) 10.4897 + 117.472i 0.0234668 + 0.262801i
\(448\) 48.6334 + 27.7632i 0.108557 + 0.0619713i
\(449\) 436.761 0.972742 0.486371 0.873752i \(-0.338320\pi\)
0.486371 + 0.873752i \(0.338320\pi\)
\(450\) −114.124 297.028i −0.253609 0.660062i
\(451\) −95.3255 + 55.0362i −0.211365 + 0.122032i
\(452\) −34.4574 9.23284i −0.0762333 0.0204266i
\(453\) 103.732 + 48.1450i 0.228989 + 0.106280i
\(454\) −311.167 −0.685389
\(455\) 105.017 347.516i 0.230806 0.763772i
\(456\) −186.049 + 222.533i −0.408002 + 0.488011i
\(457\) 30.3524 8.13289i 0.0664166 0.0177963i −0.225458 0.974253i \(-0.572388\pi\)
0.291874 + 0.956457i \(0.405721\pi\)
\(458\) −408.781 109.532i −0.892534 0.239154i
\(459\) 629.511 3.38462i 1.37148 0.00737389i
\(460\) 61.3972 + 267.941i 0.133472 + 0.582480i
\(461\) 154.115 0.334305 0.167152 0.985931i \(-0.446543\pi\)
0.167152 + 0.985931i \(0.446543\pi\)
\(462\) −114.395 + 138.192i −0.247608 + 0.299116i
\(463\) −200.474 + 200.474i −0.432989 + 0.432989i −0.889644 0.456655i \(-0.849047\pi\)
0.456655 + 0.889644i \(0.349047\pi\)
\(464\) −13.7333 + 23.7868i −0.0295977 + 0.0512648i
\(465\) 367.155 + 565.177i 0.789581 + 1.21543i
\(466\) 84.8372 + 146.942i 0.182054 + 0.315327i
\(467\) −93.6060 + 25.0817i −0.200441 + 0.0537081i −0.357643 0.933858i \(-0.616419\pi\)
0.157202 + 0.987567i \(0.449753\pi\)
\(468\) −106.541 + 153.323i −0.227651 + 0.327612i
\(469\) 56.2800 + 55.7338i 0.120000 + 0.118835i
\(470\) −170.609 6.23747i −0.362998 0.0132712i
\(471\) −168.961 + 61.8400i −0.358729 + 0.131295i
\(472\) 309.063 + 82.8131i 0.654794 + 0.175451i
\(473\) 38.1557 142.399i 0.0806675 0.301055i
\(474\) −123.227 336.685i −0.259973 0.710306i
\(475\) 852.318 + 62.4048i 1.79435 + 0.131379i
\(476\) 315.704 + 82.9446i 0.663243 + 0.174253i
\(477\) −591.393 410.947i −1.23982 0.861523i
\(478\) −144.803 540.412i −0.302935 1.13057i
\(479\) −92.7005 + 53.5207i −0.193529 + 0.111734i −0.593634 0.804735i \(-0.702307\pi\)
0.400104 + 0.916470i \(0.368974\pi\)
\(480\) −17.6290 + 83.0013i −0.0367271 + 0.172919i
\(481\) 317.344 + 183.219i 0.659760 + 0.380912i
\(482\) −221.217 221.217i −0.458956 0.458956i
\(483\) 201.047 + 541.117i 0.416247 + 1.12033i
\(484\) 169.022i 0.349220i
\(485\) 60.7193 + 264.982i 0.125194 + 0.546356i
\(486\) 62.7051 + 337.885i 0.129023 + 0.695236i
\(487\) −122.238 + 456.200i −0.251003 + 0.936756i 0.719268 + 0.694733i \(0.244478\pi\)
−0.970271 + 0.242023i \(0.922189\pi\)
\(488\) −14.2734 53.2689i −0.0292487 0.109158i
\(489\) 13.4560 + 11.2499i 0.0275173 + 0.0230059i
\(490\) −80.6791 336.958i −0.164651 0.687670i
\(491\) 228.035i 0.464431i −0.972664 0.232215i \(-0.925403\pi\)
0.972664 0.232215i \(-0.0745974\pi\)
\(492\) −46.0283 + 99.1717i −0.0935535 + 0.201569i
\(493\) −41.4370 + 154.645i −0.0840508 + 0.313682i
\(494\) −250.721 434.262i −0.507532 0.879072i
\(495\) −252.231 101.337i −0.509558 0.204722i
\(496\) 179.724i 0.362346i
\(497\) 490.320 + 279.907i 0.986559 + 0.563193i
\(498\) −27.2583 + 2.43403i −0.0547356 + 0.00488760i
\(499\) −706.586 407.948i −1.41600 0.817530i −0.420059 0.907497i \(-0.637991\pi\)
−0.995945 + 0.0899668i \(0.971324\pi\)
\(500\) 228.883 100.561i 0.457766 0.201123i
\(501\) −25.6550 4.47627i −0.0512075 0.00893467i
\(502\) −84.8425 316.636i −0.169009 0.630750i
\(503\) −493.203 + 493.203i −0.980522 + 0.980522i −0.999814 0.0192915i \(-0.993859\pi\)
0.0192915 + 0.999814i \(0.493859\pi\)
\(504\) −14.0279 + 177.638i −0.0278330 + 0.352456i
\(505\) 117.225 + 4.28573i 0.232128 + 0.00848659i
\(506\) 203.365 + 117.413i 0.401908 + 0.232042i
\(507\) 105.943 + 150.726i 0.208960 + 0.297290i
\(508\) −404.174 108.298i −0.795617 0.213185i
\(509\) −715.344 413.004i −1.40539 0.811403i −0.410452 0.911882i \(-0.634629\pi\)
−0.994939 + 0.100479i \(0.967962\pi\)
\(510\) 25.9619 + 493.916i 0.0509056 + 0.968463i
\(511\) 9.98307 + 9.88617i 0.0195363 + 0.0193467i
\(512\) 16.0000 16.0000i 0.0312500 0.0312500i
\(513\) −892.789 234.085i −1.74033 0.456306i
\(514\) 22.8091 + 39.5066i 0.0443757 + 0.0768610i
\(515\) −276.359 + 898.665i −0.536619 + 1.74498i
\(516\) −50.3291 137.511i −0.0975370 0.266494i
\(517\) −103.127 + 103.127i −0.199472 + 0.199472i
\(518\) 349.724 1.70555i 0.675142 0.00329258i
\(519\) −463.626 387.614i −0.893306 0.746848i
\(520\) −124.272 77.9370i −0.238985 0.149879i
\(521\) 70.0727 + 121.369i 0.134497 + 0.232955i 0.925405 0.378980i \(-0.123725\pi\)
−0.790908 + 0.611934i \(0.790392\pi\)
\(522\) −87.0926 7.30515i −0.166844 0.0139945i
\(523\) −165.558 + 44.3611i −0.316554 + 0.0848204i −0.413598 0.910460i \(-0.635728\pi\)
0.0970437 + 0.995280i \(0.469061\pi\)
\(524\) 299.343i 0.571264i
\(525\) 449.092 271.921i 0.855414 0.517945i
\(526\) 236.343 0.449322
\(527\) −271.137 1011.90i −0.514491 1.92011i
\(528\) 41.6833 + 59.3034i 0.0789456 + 0.112317i
\(529\) 196.258 113.310i 0.370999 0.214196i
\(530\) 300.617 479.340i 0.567202 0.904415i
\(531\) 180.388 + 1002.02i 0.339714 + 1.88703i
\(532\) −415.621 237.264i −0.781242 0.445984i
\(533\) −133.649 133.649i −0.250749 0.250749i
\(534\) 36.3222 + 99.2406i 0.0680190 + 0.185844i
\(535\) −397.322 122.185i −0.742657 0.228383i
\(536\) 27.7166 16.0022i 0.0517100 0.0298548i
\(537\) 96.0233 + 44.5670i 0.178814 + 0.0829926i
\(538\) 348.907 + 348.907i 0.648526 + 0.648526i
\(539\) −257.765 145.487i −0.478229 0.269921i
\(540\) −262.851 + 61.7201i −0.486761 + 0.114297i
\(541\) 271.403 470.083i 0.501669 0.868916i −0.498329 0.866988i \(-0.666053\pi\)
0.999998 0.00192801i \(-0.000613704\pi\)
\(542\) −7.21668 + 26.9330i −0.0133149 + 0.0496919i
\(543\) −335.673 477.567i −0.618183 0.879498i
\(544\) 65.9464 114.223i 0.121225 0.209968i
\(545\) −6.11708 + 167.316i −0.0112240 + 0.307002i
\(546\) −280.048 128.322i −0.512908 0.235021i
\(547\) −764.656 764.656i −1.39791 1.39791i −0.806017 0.591892i \(-0.798381\pi\)
−0.591892 0.806017i \(-0.701619\pi\)
\(548\) 48.8252 13.0827i 0.0890971 0.0238735i
\(549\) 134.020 113.277i 0.244117 0.206334i
\(550\) 70.1915 201.703i 0.127621 0.366733i
\(551\) 117.365 203.282i 0.213004 0.368933i
\(552\) 232.324 20.7453i 0.420876 0.0375821i
\(553\) 510.840 298.265i 0.923761 0.539358i
\(554\) −316.909 −0.572037
\(555\) 163.832 + 503.956i 0.295192 + 0.908029i
\(556\) −411.253 + 237.437i −0.739664 + 0.427045i
\(557\) 2.78102 + 0.745171i 0.00499285 + 0.00133783i 0.261315 0.965254i \(-0.415844\pi\)
−0.256322 + 0.966592i \(0.582511\pi\)
\(558\) 517.428 243.542i 0.927290 0.436456i
\(559\) 253.144 0.452851
\(560\) −139.930 4.43262i −0.249875 0.00791539i
\(561\) 324.155 + 271.010i 0.577817 + 0.483084i
\(562\) −310.069 + 83.0827i −0.551724 + 0.147834i
\(563\) 216.776 + 58.0850i 0.385038 + 0.103171i 0.446145 0.894961i \(-0.352797\pi\)
−0.0611074 + 0.998131i \(0.519463\pi\)
\(564\) −24.8996 + 142.707i −0.0441481 + 0.253027i
\(565\) 86.9294 19.9194i 0.153857 0.0352556i
\(566\) −135.575 −0.239533
\(567\) −530.431 + 200.329i −0.935505 + 0.353314i
\(568\) 161.311 161.311i 0.283999 0.283999i
\(569\) −395.156 + 684.429i −0.694474 + 1.20286i 0.275884 + 0.961191i \(0.411029\pi\)
−0.970358 + 0.241673i \(0.922304\pi\)
\(570\) 150.657 709.329i 0.264311 1.24444i
\(571\) −124.910 216.351i −0.218757 0.378899i 0.735671 0.677339i \(-0.236867\pi\)
−0.954428 + 0.298440i \(0.903534\pi\)
\(572\) −121.042 + 32.4332i −0.211612 + 0.0567013i
\(573\) −394.820 + 35.2553i −0.689039 + 0.0615277i
\(574\) −174.469 45.8380i −0.303953 0.0798571i
\(575\) −449.152 520.120i −0.781134 0.904556i
\(576\) 67.7457 + 24.3828i 0.117614 + 0.0423312i
\(577\) 82.7885 + 22.1831i 0.143481 + 0.0384456i 0.329845 0.944035i \(-0.393004\pi\)
−0.186364 + 0.982481i \(0.559670\pi\)
\(578\) 93.1959 347.812i 0.161239 0.601751i
\(579\) 592.125 216.719i 1.02267 0.374298i
\(580\) 2.50878 68.6209i 0.00432548 0.118312i
\(581\) −11.8990 43.5568i −0.0204802 0.0749687i
\(582\) 229.758 20.5162i 0.394774 0.0352513i
\(583\) −125.101 466.882i −0.214581 0.800826i
\(584\) 4.91642 2.83850i 0.00841853 0.00486044i
\(585\) 55.9818 463.393i 0.0956954 0.792125i
\(586\) 330.490 + 190.809i 0.563977 + 0.325612i
\(587\) 198.002 + 198.002i 0.337312 + 0.337312i 0.855355 0.518043i \(-0.173339\pi\)
−0.518043 + 0.855355i \(0.673339\pi\)
\(588\) −292.566 + 29.0036i −0.497561 + 0.0493258i
\(589\) 1535.92i 2.60767i
\(590\) −779.705 + 178.665i −1.32153 + 0.302822i
\(591\) 68.9218 395.013i 0.116619 0.668381i
\(592\) 36.5741 136.496i 0.0617805 0.230568i
\(593\) −256.540 957.421i −0.432614 1.61454i −0.746712 0.665148i \(-0.768369\pi\)
0.314097 0.949391i \(-0.398298\pi\)
\(594\) −114.251 + 200.368i −0.192341 + 0.337320i
\(595\) −794.531 + 186.145i −1.33535 + 0.312849i
\(596\) 78.6264i 0.131924i
\(597\) 994.729 + 461.681i 1.66621 + 0.773335i
\(598\) −104.363 + 389.488i −0.174520 + 0.651317i
\(599\) −58.5042 101.332i −0.0976698 0.169169i 0.813050 0.582194i \(-0.197806\pi\)
−0.910720 + 0.413025i \(0.864472\pi\)
\(600\) −58.1692 204.001i −0.0969487 0.340001i
\(601\) 258.350i 0.429867i −0.976629 0.214933i \(-0.931047\pi\)
0.976629 0.214933i \(-0.0689534\pi\)
\(602\) 208.640 121.819i 0.346578 0.202357i
\(603\) 83.6289 + 58.1120i 0.138688 + 0.0963715i
\(604\) 66.0260 + 38.1201i 0.109315 + 0.0631128i
\(605\) 197.767 + 373.419i 0.326888 + 0.617222i
\(606\) 17.1083 98.0535i 0.0282316 0.161804i
\(607\) −246.615 920.381i −0.406285 1.51628i −0.801673 0.597763i \(-0.796056\pi\)
0.395387 0.918514i \(-0.370610\pi\)
\(608\) −136.736 + 136.736i −0.224895 + 0.224895i
\(609\) −13.5256 143.564i −0.0222095 0.235738i
\(610\) 93.8619 + 100.986i 0.153872 + 0.165550i
\(611\) −216.881 125.216i −0.354961 0.204937i
\(612\) 418.212 + 35.0788i 0.683353 + 0.0573182i
\(613\) −226.001 60.5569i −0.368681 0.0987878i 0.0697216 0.997566i \(-0.477789\pi\)
−0.438403 + 0.898779i \(0.644456\pi\)
\(614\) 59.1587 + 34.1553i 0.0963497 + 0.0556275i
\(615\) −14.3474 272.955i −0.0233291 0.443829i
\(616\) −84.1549 + 84.9798i −0.136615 + 0.137954i
\(617\) 722.963 722.963i 1.17174 1.17174i 0.189945 0.981795i \(-0.439169\pi\)
0.981795 0.189945i \(-0.0608308\pi\)
\(618\) 723.642 + 335.862i 1.17094 + 0.543466i
\(619\) −164.472 284.874i −0.265706 0.460217i 0.702042 0.712135i \(-0.252272\pi\)
−0.967748 + 0.251919i \(0.918938\pi\)
\(620\) 210.288 + 397.062i 0.339175 + 0.640422i
\(621\) 374.546 + 640.751i 0.603133 + 1.03181i
\(622\) 544.337 544.337i 0.875139 0.875139i
\(623\) −150.574 + 87.9159i −0.241692 + 0.141117i
\(624\) −79.8367 + 95.4928i −0.127943 + 0.153033i
\(625\) −388.005 + 489.976i −0.620808 + 0.783962i
\(626\) 325.083 + 563.060i 0.519302 + 0.899457i
\(627\) −356.225 506.806i −0.568142 0.808304i
\(628\) −115.861 + 31.0449i −0.184492 + 0.0494346i
\(629\) 823.689i 1.30952i
\(630\) −176.856 408.867i −0.280724 0.648995i
\(631\) −184.344 −0.292145 −0.146073 0.989274i \(-0.546663\pi\)
−0.146073 + 0.989274i \(0.546663\pi\)
\(632\) −61.8625 230.874i −0.0978836 0.365307i
\(633\) −121.349 + 85.2938i −0.191704 + 0.134745i
\(634\) 22.7822 13.1533i 0.0359341 0.0207465i
\(635\) 1019.65 233.647i 1.60575 0.367949i
\(636\) −368.333 307.945i −0.579139 0.484190i
\(637\) 126.751 492.194i 0.198981 0.772675i
\(638\) −41.4788 41.4788i −0.0650138 0.0650138i
\(639\) 683.009 + 245.826i 1.06887 + 0.384704i
\(640\) −16.6276 + 54.0696i −0.0259806 + 0.0844838i
\(641\) −706.892 + 408.124i −1.10280 + 0.636699i −0.936954 0.349453i \(-0.886367\pi\)
−0.165841 + 0.986152i \(0.553034\pi\)
\(642\) −148.493 + 319.940i −0.231297 + 0.498348i
\(643\) −18.6427 18.6427i −0.0289933 0.0289933i 0.692462 0.721455i \(-0.256526\pi\)
−0.721455 + 0.692462i \(0.756526\pi\)
\(644\) 101.415 + 371.236i 0.157477 + 0.576454i
\(645\) 272.088 + 244.913i 0.421842 + 0.379709i
\(646\) −563.577 + 976.145i −0.872411 + 1.51106i
\(647\) −250.884 + 936.314i −0.387766 + 1.44716i 0.445995 + 0.895036i \(0.352850\pi\)
−0.833761 + 0.552126i \(0.813817\pi\)
\(648\) 21.6032 + 228.082i 0.0333383 + 0.351978i
\(649\) −341.671 + 591.791i −0.526457 + 0.911850i
\(650\) 365.744 + 26.7790i 0.562683 + 0.0411984i
\(651\) 546.341 + 769.285i 0.839233 + 1.18170i
\(652\) 8.26804 + 8.26804i 0.0126810 + 0.0126810i
\(653\) −58.3491 + 15.6346i −0.0893554 + 0.0239427i −0.303220 0.952921i \(-0.598062\pi\)
0.213864 + 0.976863i \(0.431395\pi\)
\(654\) 139.953 + 24.4190i 0.213996 + 0.0373379i
\(655\) 350.250 + 661.334i 0.534733 + 1.00967i
\(656\) −36.4442 + 63.1233i −0.0555552 + 0.0962245i
\(657\) 14.8343 + 10.3080i 0.0225788 + 0.0156895i
\(658\) −239.010 + 1.16562i −0.363236 + 0.00177145i
\(659\) 397.461 0.603127 0.301564 0.953446i \(-0.402491\pi\)
0.301564 + 0.953446i \(0.402491\pi\)
\(660\) −161.479 82.2462i −0.244665 0.124615i
\(661\) 417.970 241.315i 0.632330 0.365076i −0.149324 0.988788i \(-0.547710\pi\)
0.781654 + 0.623712i \(0.214376\pi\)
\(662\) −224.320 60.1065i −0.338853 0.0907953i
\(663\) −305.440 + 658.095i −0.460694 + 0.992602i
\(664\) −18.2445 −0.0274767
\(665\) 1195.84 + 37.8811i 1.79825 + 0.0569641i
\(666\) 442.536 79.6676i 0.664468 0.119621i
\(667\) −182.323 + 48.8533i −0.273348 + 0.0732434i
\(668\) −16.7701 4.49354i −0.0251050 0.00672685i
\(669\) −617.184 107.686i −0.922548 0.160966i
\(670\) −42.5103 + 67.7835i −0.0634482 + 0.101169i
\(671\) 117.778 0.175526
\(672\) −19.8477 + 117.124i −0.0295353 + 0.174292i
\(673\) 594.528 594.528i 0.883400 0.883400i −0.110479 0.993879i \(-0.535238\pi\)
0.993879 + 0.110479i \(0.0352384\pi\)
\(674\) −182.945 + 316.871i −0.271432 + 0.470135i
\(675\) 508.497 443.910i 0.753329 0.657644i
\(676\) 61.4113 + 106.368i 0.0908451 + 0.157348i
\(677\) 107.544 28.8163i 0.158854 0.0425647i −0.178516 0.983937i \(-0.557130\pi\)
0.337369 + 0.941372i \(0.390463\pi\)
\(678\) −6.73050 75.3739i −0.00992699 0.111171i
\(679\) 100.296 + 367.137i 0.147711 + 0.540703i
\(680\) −12.0469 + 329.512i −0.0177161 + 0.484576i
\(681\) −226.873 619.871i −0.333147 0.910236i
\(682\) 370.753 + 99.3429i 0.543626 + 0.145664i
\(683\) −101.877 + 380.211i −0.149161 + 0.556678i 0.850373 + 0.526180i \(0.176376\pi\)
−0.999535 + 0.0304984i \(0.990291\pi\)
\(684\) −578.954 208.375i −0.846424 0.304642i
\(685\) −92.5614 + 86.0320i −0.135126 + 0.125594i
\(686\) −132.388 466.660i −0.192986 0.680262i
\(687\) −79.8463 894.187i −0.116225 1.30158i
\(688\) −25.2662 94.2947i −0.0367241 0.137056i
\(689\) 718.782 414.989i 1.04322 0.602306i
\(690\) −488.996 + 317.666i −0.708690 + 0.460385i
\(691\) 675.459 + 389.977i 0.977510 + 0.564366i 0.901517 0.432743i \(-0.142454\pi\)
0.0759924 + 0.997108i \(0.475788\pi\)
\(692\) −284.876 284.876i −0.411670 0.411670i
\(693\) −358.696 127.128i −0.517598 0.183446i
\(694\) 108.045i 0.155684i
\(695\) 630.760 1005.76i 0.907568 1.44714i
\(696\) −57.3985 10.0149i −0.0824691 0.0143892i
\(697\) −109.962 + 410.382i −0.157764 + 0.588784i
\(698\) 220.135 + 821.556i 0.315380 + 1.17701i
\(699\) −230.866 + 276.139i −0.330281 + 0.395049i
\(700\) 314.332 153.934i 0.449045 0.219906i
\(701\) 1193.31i 1.70229i 0.524928 + 0.851147i \(0.324092\pi\)
−0.524928 + 0.851147i \(0.675908\pi\)
\(702\) −383.111 100.450i −0.545742 0.143091i
\(703\) −312.562 + 1166.50i −0.444611 + 1.65931i
\(704\) 24.1624 + 41.8505i 0.0343216 + 0.0594467i
\(705\) −111.967 344.416i −0.158818 0.488533i
\(706\) 642.977i 0.910733i
\(707\) 164.222 0.800889i 0.232280 0.00113280i
\(708\) 60.3685 + 676.059i 0.0852663 + 0.954885i
\(709\) 787.987 + 454.944i 1.11141 + 0.641671i 0.939193 0.343389i \(-0.111575\pi\)
0.172213 + 0.985060i \(0.444908\pi\)
\(710\) −167.638 + 545.127i −0.236111 + 0.767785i
\(711\) 580.860 490.958i 0.816962 0.690518i
\(712\) 18.2344 + 68.0519i 0.0256102 + 0.0955785i
\(713\) 873.338 873.338i 1.22488 1.22488i
\(714\) 64.9488 + 689.384i 0.0909647 + 0.965525i
\(715\) 229.468 213.281i 0.320935 0.298296i
\(716\) 61.1192 + 35.2872i 0.0853621 + 0.0492838i
\(717\) 970.971 682.478i 1.35421 0.951852i
\(718\) −271.144 72.6529i −0.377638 0.101188i
\(719\) −276.671 159.736i −0.384800 0.222164i 0.295105 0.955465i \(-0.404645\pi\)
−0.679905 + 0.733301i \(0.737979\pi\)
\(720\) −178.199 + 25.3982i −0.247499 + 0.0352753i
\(721\) −334.473 + 1273.07i −0.463902 + 1.76570i
\(722\) 807.544 807.544i 1.11848 1.11848i
\(723\) 279.392 601.973i 0.386435 0.832604i
\(724\) −194.579 337.020i −0.268755 0.465497i
\(725\) 74.7482 + 154.539i 0.103101 + 0.213157i
\(726\) 336.707 123.235i 0.463784 0.169745i
\(727\) −962.101 + 962.101i −1.32338 + 1.32338i −0.412367 + 0.911018i \(0.635298\pi\)
−0.911018 + 0.412367i \(0.864702\pi\)
\(728\) −178.350 101.814i −0.244986 0.139854i
\(729\) −627.377 + 371.268i −0.860599 + 0.509283i
\(730\) −7.54057 + 12.0236i −0.0103295 + 0.0164707i
\(731\) −284.511 492.788i −0.389209 0.674129i
\(732\) 95.7094 67.2724i 0.130751 0.0919021i
\(733\) −377.079 + 101.038i −0.514433 + 0.137842i −0.506690 0.862128i \(-0.669131\pi\)
−0.00774251 + 0.999970i \(0.502465\pi\)
\(734\) 665.487i 0.906658i
\(735\) 612.426 406.398i 0.833233 0.552922i
\(736\) 155.499 0.211275
\(737\) 17.6905 + 66.0218i 0.0240034 + 0.0895818i
\(738\) −231.118 19.3857i −0.313168 0.0262679i
\(739\) 665.653 384.315i 0.900749 0.520047i 0.0233056 0.999728i \(-0.492581\pi\)
0.877443 + 0.479681i \(0.159248\pi\)
\(740\) 78.9067 + 344.353i 0.106631 + 0.465342i
\(741\) 682.284 816.080i 0.920761 1.10132i
\(742\) 392.715 687.928i 0.529265 0.927126i
\(743\) −411.294 411.294i −0.553559 0.553559i 0.373907 0.927466i \(-0.378018\pi\)
−0.927466 + 0.373907i \(0.878018\pi\)
\(744\) 358.025 131.038i 0.481217 0.176126i
\(745\) −91.9979 173.708i −0.123487 0.233166i
\(746\) 331.818 191.575i 0.444796 0.256803i
\(747\) −24.7230 52.5262i −0.0330963 0.0703162i
\(748\) 199.178 + 199.178i 0.266281 + 0.266281i
\(749\) −562.857 147.879i −0.751477 0.197435i
\(750\) 367.207 + 382.635i 0.489609 + 0.510180i
\(751\) 569.327 986.103i 0.758091 1.31305i −0.185731 0.982601i \(-0.559465\pi\)
0.943823 0.330452i \(-0.107201\pi\)
\(752\) −24.9956 + 93.2849i −0.0332388 + 0.124049i
\(753\) 568.908 399.875i 0.755522 0.531042i
\(754\) 50.3633 87.2319i 0.0667949 0.115692i
\(755\) −190.473 6.96370i −0.252283 0.00922345i
\(756\) −364.098 + 101.572i −0.481611 + 0.134355i
\(757\) −264.443 264.443i −0.349331 0.349331i 0.510530 0.859860i \(-0.329449\pi\)
−0.859860 + 0.510530i \(0.829449\pi\)
\(758\) −653.692 + 175.156i −0.862390 + 0.231077i
\(759\) −85.6220 + 490.728i −0.112809 + 0.646545i
\(760\) 142.099