Properties

Label 384.2.w.a.11.18
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.18
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.917171 + 1.07647i) q^{2} +(-0.843817 - 1.51260i) q^{3} +(-0.317594 - 1.97462i) q^{4} +(-3.45356 - 1.84597i) q^{5} +(2.40220 + 0.478969i) q^{6} +(-1.46677 - 0.291758i) q^{7} +(2.41692 + 1.46919i) q^{8} +(-1.57594 + 2.55272i) q^{9} +O(q^{10})\) \(q+(-0.917171 + 1.07647i) q^{2} +(-0.843817 - 1.51260i) q^{3} +(-0.317594 - 1.97462i) q^{4} +(-3.45356 - 1.84597i) q^{5} +(2.40220 + 0.478969i) q^{6} +(-1.46677 - 0.291758i) q^{7} +(2.41692 + 1.46919i) q^{8} +(-1.57594 + 2.55272i) q^{9} +(5.15464 - 2.02460i) q^{10} +(0.819471 - 0.672522i) q^{11} +(-2.71883 + 2.14662i) q^{12} +(2.93804 - 1.57041i) q^{13} +(1.65935 - 1.31134i) q^{14} +(0.121958 + 6.78153i) q^{15} +(-3.79827 + 1.25426i) q^{16} +(-2.84513 + 1.17849i) q^{17} +(-1.30253 - 4.03775i) q^{18} +(-1.56815 + 5.16949i) q^{19} +(-2.54826 + 7.40575i) q^{20} +(0.796369 + 2.46483i) q^{21} +(-0.0276420 + 1.49896i) q^{22} +(4.50863 + 3.01257i) q^{23} +(0.182858 - 4.89557i) q^{24} +(5.74164 + 8.59298i) q^{25} +(-1.00417 + 4.60306i) q^{26} +(5.19107 + 0.229747i) q^{27} +(-0.110276 + 2.98897i) q^{28} +(-4.19303 - 3.44113i) q^{29} +(-7.41200 - 6.08854i) q^{30} +(-2.35727 + 2.35727i) q^{31} +(2.13349 - 5.23911i) q^{32} +(-1.70874 - 0.672049i) q^{33} +(1.34085 - 4.14359i) q^{34} +(4.52699 + 3.71521i) q^{35} +(5.54118 + 2.30117i) q^{36} +(-0.347870 - 1.14677i) q^{37} +(-4.12656 - 6.42937i) q^{38} +(-4.85458 - 3.11894i) q^{39} +(-5.63491 - 9.53547i) q^{40} +(2.55512 + 1.70728i) q^{41} +(-3.38373 - 1.40340i) q^{42} +(-0.727253 + 7.38393i) q^{43} +(-1.58824 - 1.40456i) q^{44} +(10.1549 - 5.90685i) q^{45} +(-7.37815 + 2.09038i) q^{46} +(-9.75123 + 4.03909i) q^{47} +(5.10224 + 4.68691i) q^{48} +(-4.40087 - 1.82290i) q^{49} +(-14.5162 - 1.70050i) q^{50} +(4.18336 + 3.30912i) q^{51} +(-4.03408 - 5.30276i) q^{52} +(6.48676 - 5.32355i) q^{53} +(-5.00842 + 5.37734i) q^{54} +(-4.07155 + 0.809881i) q^{55} +(-3.11641 - 2.86011i) q^{56} +(9.14262 - 1.99012i) q^{57} +(7.55001 - 1.35758i) q^{58} +(-7.05681 - 3.77194i) q^{59} +(13.3522 - 2.39459i) q^{60} +(-1.12047 - 11.3763i) q^{61} +(-0.375521 - 4.69957i) q^{62} +(3.05632 - 3.28446i) q^{63} +(3.68299 + 7.10180i) q^{64} -13.0456 q^{65} +(2.29065 - 1.22303i) q^{66} +(8.80377 - 0.867095i) q^{67} +(3.23067 + 5.24377i) q^{68} +(0.752367 - 9.36184i) q^{69} +(-8.15136 + 1.46571i) q^{70} +(1.42955 + 0.284355i) q^{71} +(-7.55935 + 3.85437i) q^{72} +(2.57438 + 12.9423i) q^{73} +(1.55353 + 0.677314i) q^{74} +(8.15287 - 15.9357i) q^{75} +(10.7058 + 1.45470i) q^{76} +(-1.39819 + 0.747346i) q^{77} +(7.80995 - 2.36522i) q^{78} +(-4.74648 + 11.4590i) q^{79} +(15.4329 + 2.67983i) q^{80} +(-4.03280 - 8.04590i) q^{81} +(-4.18132 + 1.18466i) q^{82} +(-4.80373 + 15.8358i) q^{83} +(4.61418 - 2.35534i) q^{84} +(12.0013 + 1.18202i) q^{85} +(-7.28159 - 7.55519i) q^{86} +(-1.66692 + 9.24608i) q^{87} +(2.96865 - 0.421477i) q^{88} +(-4.92636 - 7.37281i) q^{89} +(-2.95518 + 16.3490i) q^{90} +(-4.76760 + 1.44623i) q^{91} +(4.51678 - 9.85963i) q^{92} +(5.55473 + 1.57651i) q^{93} +(4.59557 - 14.2015i) q^{94} +(14.9584 - 14.9584i) q^{95} +(-9.72497 + 1.19373i) q^{96} +(-9.38585 - 9.38585i) q^{97} +(5.99866 - 3.06551i) q^{98} +(0.425324 + 3.15174i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.917171 + 1.07647i −0.648538 + 0.761182i
\(3\) −0.843817 1.51260i −0.487178 0.873303i
\(4\) −0.317594 1.97462i −0.158797 0.987311i
\(5\) −3.45356 1.84597i −1.54448 0.825542i −0.544567 0.838718i \(-0.683306\pi\)
−0.999913 + 0.0131759i \(0.995806\pi\)
\(6\) 2.40220 + 0.478969i 0.980696 + 0.195538i
\(7\) −1.46677 0.291758i −0.554386 0.110274i −0.0900563 0.995937i \(-0.528705\pi\)
−0.464330 + 0.885662i \(0.653705\pi\)
\(8\) 2.41692 + 1.46919i 0.854510 + 0.519435i
\(9\) −1.57594 + 2.55272i −0.525315 + 0.850908i
\(10\) 5.15464 2.02460i 1.63004 0.640236i
\(11\) 0.819471 0.672522i 0.247080 0.202773i −0.502699 0.864461i \(-0.667660\pi\)
0.749779 + 0.661688i \(0.230160\pi\)
\(12\) −2.71883 + 2.14662i −0.784859 + 0.619674i
\(13\) 2.93804 1.57041i 0.814865 0.435554i −0.0106442 0.999943i \(-0.503388\pi\)
0.825509 + 0.564389i \(0.190888\pi\)
\(14\) 1.65935 1.31134i 0.443479 0.350472i
\(15\) 0.121958 + 6.78153i 0.0314893 + 1.75098i
\(16\) −3.79827 + 1.25426i −0.949567 + 0.313564i
\(17\) −2.84513 + 1.17849i −0.690045 + 0.285826i −0.700019 0.714124i \(-0.746825\pi\)
0.00997400 + 0.999950i \(0.496825\pi\)
\(18\) −1.30253 4.03775i −0.307010 0.951706i
\(19\) −1.56815 + 5.16949i −0.359758 + 1.18596i 0.571193 + 0.820816i \(0.306481\pi\)
−0.930950 + 0.365146i \(0.881019\pi\)
\(20\) −2.54826 + 7.40575i −0.569808 + 1.65598i
\(21\) 0.796369 + 2.46483i 0.173782 + 0.537870i
\(22\) −0.0276420 + 1.49896i −0.00589330 + 0.319579i
\(23\) 4.50863 + 3.01257i 0.940115 + 0.628165i 0.928327 0.371766i \(-0.121247\pi\)
0.0117886 + 0.999931i \(0.496247\pi\)
\(24\) 0.182858 4.89557i 0.0373257 0.999303i
\(25\) 5.74164 + 8.59298i 1.14833 + 1.71860i
\(26\) −1.00417 + 4.60306i −0.196935 + 0.902734i
\(27\) 5.19107 + 0.229747i 0.999022 + 0.0442148i
\(28\) −0.110276 + 2.98897i −0.0208402 + 0.564863i
\(29\) −4.19303 3.44113i −0.778626 0.639002i 0.158751 0.987319i \(-0.449253\pi\)
−0.937377 + 0.348317i \(0.886753\pi\)
\(30\) −7.41200 6.08854i −1.35324 1.11161i
\(31\) −2.35727 + 2.35727i −0.423379 + 0.423379i −0.886365 0.462987i \(-0.846778\pi\)
0.462987 + 0.886365i \(0.346778\pi\)
\(32\) 2.13349 5.23911i 0.377151 0.926152i
\(33\) −1.70874 0.672049i −0.297454 0.116989i
\(34\) 1.34085 4.14359i 0.229955 0.710619i
\(35\) 4.52699 + 3.71521i 0.765202 + 0.627985i
\(36\) 5.54118 + 2.30117i 0.923529 + 0.383528i
\(37\) −0.347870 1.14677i −0.0571895 0.188528i 0.923692 0.383137i \(-0.125156\pi\)
−0.980881 + 0.194609i \(0.937656\pi\)
\(38\) −4.12656 6.42937i −0.669417 1.04298i
\(39\) −4.85458 3.11894i −0.777355 0.499431i
\(40\) −5.63491 9.53547i −0.890957 1.50769i
\(41\) 2.55512 + 1.70728i 0.399043 + 0.266632i 0.738859 0.673860i \(-0.235365\pi\)
−0.339816 + 0.940492i \(0.610365\pi\)
\(42\) −3.38373 1.40340i −0.522121 0.216549i
\(43\) −0.727253 + 7.38393i −0.110905 + 1.12604i 0.765158 + 0.643842i \(0.222661\pi\)
−0.876063 + 0.482196i \(0.839839\pi\)
\(44\) −1.58824 1.40456i −0.239436 0.211745i
\(45\) 10.1549 5.90685i 1.51380 0.880541i
\(46\) −7.37815 + 2.09038i −1.08785 + 0.308210i
\(47\) −9.75123 + 4.03909i −1.42236 + 0.589162i −0.955453 0.295143i \(-0.904633\pi\)
−0.466909 + 0.884305i \(0.654633\pi\)
\(48\) 5.10224 + 4.68691i 0.736445 + 0.676498i
\(49\) −4.40087 1.82290i −0.628696 0.260415i
\(50\) −14.5162 1.70050i −2.05290 0.240487i
\(51\) 4.18336 + 3.30912i 0.585787 + 0.463370i
\(52\) −4.03408 5.30276i −0.559426 0.735360i
\(53\) 6.48676 5.32355i 0.891025 0.731246i −0.0729223 0.997338i \(-0.523233\pi\)
0.963948 + 0.266092i \(0.0857325\pi\)
\(54\) −5.00842 + 5.37734i −0.681559 + 0.731763i
\(55\) −4.07155 + 0.809881i −0.549007 + 0.109204i
\(56\) −3.11641 2.86011i −0.416448 0.382198i
\(57\) 9.14262 1.99012i 1.21097 0.263598i
\(58\) 7.55001 1.35758i 0.991365 0.178259i
\(59\) −7.05681 3.77194i −0.918718 0.491065i −0.0569553 0.998377i \(-0.518139\pi\)
−0.861763 + 0.507312i \(0.830639\pi\)
\(60\) 13.3522 2.39459i 1.72377 0.309141i
\(61\) −1.12047 11.3763i −0.143462 1.45659i −0.749947 0.661498i \(-0.769921\pi\)
0.606485 0.795095i \(-0.292579\pi\)
\(62\) −0.375521 4.69957i −0.0476912 0.596846i
\(63\) 3.05632 3.28446i 0.385060 0.413803i
\(64\) 3.68299 + 7.10180i 0.460374 + 0.887725i
\(65\) −13.0456 −1.61811
\(66\) 2.29065 1.22303i 0.281960 0.150545i
\(67\) 8.80377 0.867095i 1.07555 0.105933i 0.455302 0.890337i \(-0.349531\pi\)
0.620250 + 0.784405i \(0.287031\pi\)
\(68\) 3.23067 + 5.24377i 0.391776 + 0.635901i
\(69\) 0.752367 9.36184i 0.0905743 1.12703i
\(70\) −8.15136 + 1.46571i −0.974273 + 0.175186i
\(71\) 1.42955 + 0.284355i 0.169656 + 0.0337467i 0.279187 0.960237i \(-0.409935\pi\)
−0.109531 + 0.993983i \(0.534935\pi\)
\(72\) −7.55935 + 3.85437i −0.890878 + 0.454242i
\(73\) 2.57438 + 12.9423i 0.301308 + 1.51478i 0.773793 + 0.633439i \(0.218357\pi\)
−0.472484 + 0.881339i \(0.656643\pi\)
\(74\) 1.55353 + 0.677314i 0.180594 + 0.0787362i
\(75\) 8.15287 15.9357i 0.941413 1.84010i
\(76\) 10.7058 + 1.45470i 1.22804 + 0.166866i
\(77\) −1.39819 + 0.747346i −0.159338 + 0.0851680i
\(78\) 7.80995 2.36522i 0.884302 0.267809i
\(79\) −4.74648 + 11.4590i −0.534021 + 1.28924i 0.394819 + 0.918759i \(0.370807\pi\)
−0.928840 + 0.370482i \(0.879193\pi\)
\(80\) 15.4329 + 2.67983i 1.72545 + 0.299614i
\(81\) −4.03280 8.04590i −0.448089 0.893989i
\(82\) −4.18132 + 1.18466i −0.461750 + 0.130823i
\(83\) −4.80373 + 15.8358i −0.527278 + 1.73820i 0.136858 + 0.990591i \(0.456300\pi\)
−0.664136 + 0.747612i \(0.731200\pi\)
\(84\) 4.61418 2.35534i 0.503449 0.256989i
\(85\) 12.0013 + 1.18202i 1.30172 + 0.128208i
\(86\) −7.28159 7.55519i −0.785194 0.814697i
\(87\) −1.66692 + 9.24608i −0.178712 + 0.991284i
\(88\) 2.96865 0.421477i 0.316459 0.0449296i
\(89\) −4.92636 7.37281i −0.522193 0.781516i 0.472831 0.881153i \(-0.343232\pi\)
−0.995024 + 0.0996365i \(0.968232\pi\)
\(90\) −2.95518 + 16.3490i −0.311503 + 1.72334i
\(91\) −4.76760 + 1.44623i −0.499780 + 0.151607i
\(92\) 4.51678 9.85963i 0.470907 1.02794i
\(93\) 5.55473 + 1.57651i 0.575999 + 0.163477i
\(94\) 4.59557 14.2015i 0.473997 1.46477i
\(95\) 14.9584 14.9584i 1.53470 1.53470i
\(96\) −9.72497 + 1.19373i −0.992550 + 0.121834i
\(97\) −9.38585 9.38585i −0.952989 0.952989i 0.0459546 0.998944i \(-0.485367\pi\)
−0.998944 + 0.0459546i \(0.985367\pi\)
\(98\) 5.99866 3.06551i 0.605956 0.309664i
\(99\) 0.425324 + 3.15174i 0.0427466 + 0.316762i
\(100\) 15.1444 14.0667i 1.51444 1.40667i
\(101\) 2.99518 + 9.87378i 0.298031 + 0.982478i 0.970246 + 0.242121i \(0.0778432\pi\)
−0.672215 + 0.740356i \(0.734657\pi\)
\(102\) −7.39904 + 1.46825i −0.732614 + 0.145378i
\(103\) 5.05251 3.37598i 0.497838 0.332645i −0.281171 0.959658i \(-0.590723\pi\)
0.779009 + 0.627013i \(0.215723\pi\)
\(104\) 9.40822 + 0.520959i 0.922552 + 0.0510842i
\(105\) 1.79968 9.98251i 0.175631 0.974193i
\(106\) −0.218809 + 11.8654i −0.0212526 + 1.15247i
\(107\) −1.03260 + 10.4842i −0.0998252 + 1.01354i 0.806578 + 0.591128i \(0.201317\pi\)
−0.906403 + 0.422414i \(0.861183\pi\)
\(108\) −1.19499 10.3234i −0.114988 0.993367i
\(109\) −11.8338 3.58974i −1.13347 0.343834i −0.332834 0.942985i \(-0.608005\pi\)
−0.800636 + 0.599151i \(0.795505\pi\)
\(110\) 2.86249 5.12571i 0.272928 0.488718i
\(111\) −1.44108 + 1.49386i −0.136781 + 0.141791i
\(112\) 5.93711 0.731526i 0.561005 0.0691228i
\(113\) 8.51498 + 3.52702i 0.801022 + 0.331794i 0.745366 0.666656i \(-0.232275\pi\)
0.0556562 + 0.998450i \(0.482275\pi\)
\(114\) −6.24304 + 11.6671i −0.584714 + 1.09272i
\(115\) −10.0097 18.7269i −0.933413 1.74629i
\(116\) −5.46325 + 9.37253i −0.507250 + 0.870218i
\(117\) −0.621350 + 9.97488i −0.0574438 + 0.922178i
\(118\) 10.5327 4.13695i 0.969613 0.380838i
\(119\) 4.51697 0.898482i 0.414070 0.0823637i
\(120\) −9.66856 + 16.5696i −0.882615 + 1.51259i
\(121\) −1.92675 + 9.68641i −0.175159 + 0.880583i
\(122\) 13.2740 + 9.22790i 1.20177 + 0.835455i
\(123\) 0.426379 5.30551i 0.0384453 0.478382i
\(124\) 5.40338 + 3.90607i 0.485238 + 0.350775i
\(125\) −2.04761 20.7898i −0.183144 1.85949i
\(126\) 0.732464 + 6.30246i 0.0652531 + 0.561468i
\(127\) 8.61190i 0.764183i −0.924125 0.382091i \(-0.875204\pi\)
0.924125 0.382091i \(-0.124796\pi\)
\(128\) −11.0228 2.54892i −0.974291 0.225295i
\(129\) 11.7826 5.13064i 1.03740 0.451728i
\(130\) 11.9651 14.0433i 1.04941 1.23168i
\(131\) −7.88640 + 0.776743i −0.689038 + 0.0678643i −0.436475 0.899716i \(-0.643773\pi\)
−0.252563 + 0.967581i \(0.581273\pi\)
\(132\) −0.784356 + 3.58756i −0.0682694 + 0.312257i
\(133\) 3.80835 7.12491i 0.330225 0.617808i
\(134\) −7.14116 + 10.2723i −0.616902 + 0.887392i
\(135\) −17.5036 10.3760i −1.50647 0.893023i
\(136\) −8.60786 1.33170i −0.738118 0.114193i
\(137\) 0.840523 + 4.22559i 0.0718107 + 0.361017i 0.999937 0.0112493i \(-0.00358085\pi\)
−0.928126 + 0.372266i \(0.878581\pi\)
\(138\) 9.38773 + 9.39632i 0.799137 + 0.799868i
\(139\) −4.93919 6.01843i −0.418937 0.510476i 0.520188 0.854052i \(-0.325862\pi\)
−0.939125 + 0.343576i \(0.888362\pi\)
\(140\) 5.89839 10.1190i 0.498505 0.855214i
\(141\) 14.3378 + 11.3415i 1.20746 + 0.955126i
\(142\) −1.61724 + 1.27807i −0.135716 + 0.107253i
\(143\) 1.35150 3.26280i 0.113018 0.272849i
\(144\) 2.78409 11.6726i 0.232007 0.972714i
\(145\) 8.12867 + 19.6244i 0.675049 + 1.62971i
\(146\) −16.2932 9.09903i −1.34843 0.753041i
\(147\) 0.956205 + 8.19498i 0.0788665 + 0.675910i
\(148\) −2.15396 + 1.05112i −0.177055 + 0.0864015i
\(149\) 1.96393 + 0.193430i 0.160891 + 0.0158464i 0.178142 0.984005i \(-0.442991\pi\)
−0.0172508 + 0.999851i \(0.505491\pi\)
\(150\) 9.67683 + 23.3922i 0.790110 + 1.90996i
\(151\) −3.10692 + 4.64984i −0.252838 + 0.378398i −0.936076 0.351797i \(-0.885571\pi\)
0.683239 + 0.730195i \(0.260571\pi\)
\(152\) −11.3850 + 10.1903i −0.923447 + 0.826545i
\(153\) 1.47540 9.12006i 0.119279 0.737313i
\(154\) 0.477877 2.19056i 0.0385084 0.176520i
\(155\) 12.4924 3.78954i 1.00342 0.304383i
\(156\) −4.61695 + 10.5765i −0.369652 + 0.846799i
\(157\) −13.1569 + 16.0317i −1.05003 + 1.27947i −0.0910989 + 0.995842i \(0.529038\pi\)
−0.958935 + 0.283628i \(0.908462\pi\)
\(158\) −7.98200 15.6193i −0.635014 1.24261i
\(159\) −13.5261 5.31980i −1.07269 0.421888i
\(160\) −17.0393 + 14.1552i −1.34708 + 1.11907i
\(161\) −5.73417 5.73417i −0.451916 0.451916i
\(162\) 12.3600 + 3.03826i 0.971091 + 0.238708i
\(163\) −3.99501 + 4.86793i −0.312913 + 0.381286i −0.905590 0.424155i \(-0.860571\pi\)
0.592677 + 0.805441i \(0.298071\pi\)
\(164\) 2.55974 5.58762i 0.199882 0.436320i
\(165\) 4.66067 + 5.47525i 0.362833 + 0.426247i
\(166\) −12.6410 19.6952i −0.981129 1.52865i
\(167\) 5.18249 3.46283i 0.401033 0.267962i −0.338656 0.940910i \(-0.609972\pi\)
0.739690 + 0.672948i \(0.234972\pi\)
\(168\) −1.69653 + 7.12730i −0.130890 + 0.549883i
\(169\) −1.05655 + 1.58124i −0.0812733 + 0.121634i
\(170\) −12.2796 + 11.8350i −0.941806 + 0.907700i
\(171\) −10.7250 12.1499i −0.820158 0.929124i
\(172\) 14.8114 0.909040i 1.12936 0.0693136i
\(173\) −9.96860 3.02394i −0.757899 0.229906i −0.112395 0.993664i \(-0.535852\pi\)
−0.645503 + 0.763757i \(0.723352\pi\)
\(174\) −8.42432 10.2746i −0.638646 0.778918i
\(175\) −5.91458 14.2791i −0.447100 1.07940i
\(176\) −2.26905 + 3.58225i −0.171036 + 0.270022i
\(177\) 0.249201 + 13.8570i 0.0187311 + 1.04155i
\(178\) 12.4550 + 1.45904i 0.933538 + 0.109359i
\(179\) 0.110406 + 0.206555i 0.00825212 + 0.0154386i 0.886014 0.463659i \(-0.153464\pi\)
−0.877761 + 0.479098i \(0.840964\pi\)
\(180\) −14.8889 18.1760i −1.10975 1.35476i
\(181\) −10.2403 12.4778i −0.761152 0.927467i 0.237887 0.971293i \(-0.423545\pi\)
−0.999039 + 0.0438259i \(0.986045\pi\)
\(182\) 2.81587 6.45864i 0.208726 0.478746i
\(183\) −16.2624 + 11.2944i −1.20215 + 0.834906i
\(184\) 6.47097 + 13.9052i 0.477047 + 1.02510i
\(185\) −0.915516 + 4.60261i −0.0673101 + 0.338391i
\(186\) −6.79172 + 4.53359i −0.497993 + 0.332419i
\(187\) −1.53894 + 2.87915i −0.112538 + 0.210544i
\(188\) 11.0726 + 17.9722i 0.807553 + 1.31076i
\(189\) −7.54706 1.85152i −0.548968 0.134678i
\(190\) 2.38292 + 29.8217i 0.172875 + 2.16350i
\(191\) 16.7189i 1.20974i 0.796326 + 0.604868i \(0.206774\pi\)
−0.796326 + 0.604868i \(0.793226\pi\)
\(192\) 7.63444 11.5635i 0.550969 0.834526i
\(193\) 1.99643i 0.143706i 0.997415 + 0.0718529i \(0.0228912\pi\)
−0.997415 + 0.0718529i \(0.977109\pi\)
\(194\) 18.7121 1.49520i 1.34345 0.107349i
\(195\) 11.0081 + 19.7329i 0.788308 + 1.41310i
\(196\) −2.20185 + 9.26901i −0.157275 + 0.662072i
\(197\) −6.48284 + 12.1285i −0.461883 + 0.864122i 0.537894 + 0.843012i \(0.319220\pi\)
−0.999777 + 0.0211099i \(0.993280\pi\)
\(198\) −3.78286 2.43283i −0.268836 0.172894i
\(199\) 1.95854 9.84626i 0.138837 0.697983i −0.847175 0.531313i \(-0.821699\pi\)
0.986013 0.166669i \(-0.0533013\pi\)
\(200\) 1.25241 + 29.2041i 0.0885588 + 2.06504i
\(201\) −8.74035 12.5849i −0.616496 0.887674i
\(202\) −13.3760 5.83171i −0.941129 0.410318i
\(203\) 5.14622 + 6.27069i 0.361194 + 0.440116i
\(204\) 5.20566 9.31151i 0.364469 0.651936i
\(205\) −5.67269 10.6128i −0.396198 0.741234i
\(206\) −0.999861 + 8.53524i −0.0696636 + 0.594679i
\(207\) −14.7956 + 6.76165i −1.02837 + 0.469967i
\(208\) −9.18975 + 9.64990i −0.637194 + 0.669100i
\(209\) 2.19154 + 5.29086i 0.151592 + 0.365976i
\(210\) 9.09530 + 11.0930i 0.627635 + 0.765489i
\(211\) −4.80924 1.45887i −0.331082 0.100432i 0.120367 0.992729i \(-0.461593\pi\)
−0.451449 + 0.892297i \(0.649093\pi\)
\(212\) −12.5722 11.1182i −0.863459 0.763600i
\(213\) −0.776161 2.40228i −0.0531817 0.164602i
\(214\) −10.3389 10.7273i −0.706750 0.733305i
\(215\) 16.1421 24.1584i 1.10088 1.64759i
\(216\) 12.2089 + 8.18192i 0.830707 + 0.556709i
\(217\) 4.14532 2.76982i 0.281403 0.188027i
\(218\) 14.7179 9.44635i 0.996819 0.639788i
\(219\) 17.4042 14.8149i 1.17607 1.00110i
\(220\) 2.89231 + 7.78255i 0.194999 + 0.524700i
\(221\) −6.50837 + 7.93048i −0.437801 + 0.533461i
\(222\) −0.286385 2.92140i −0.0192209 0.196072i
\(223\) −13.0783 13.0783i −0.875788 0.875788i 0.117308 0.993096i \(-0.462574\pi\)
−0.993096 + 0.117308i \(0.962574\pi\)
\(224\) −4.65788 + 7.06209i −0.311218 + 0.471855i
\(225\) −30.9840 + 1.11478i −2.06560 + 0.0743187i
\(226\) −11.6064 + 5.93127i −0.772049 + 0.394543i
\(227\) 8.69095 10.5900i 0.576839 0.702880i −0.400083 0.916479i \(-0.631019\pi\)
0.976921 + 0.213599i \(0.0685186\pi\)
\(228\) −6.83337 17.4212i −0.452551 1.15375i
\(229\) −23.9909 + 7.27755i −1.58536 + 0.480914i −0.955302 0.295633i \(-0.904470\pi\)
−0.630060 + 0.776547i \(0.716970\pi\)
\(230\) 29.3397 + 6.40055i 1.93460 + 0.422040i
\(231\) 2.31025 + 1.48428i 0.152003 + 0.0976584i
\(232\) −5.07855 14.4773i −0.333423 0.950479i
\(233\) 13.1250 19.6430i 0.859848 1.28685i −0.0967106 0.995313i \(-0.530832\pi\)
0.956558 0.291541i \(-0.0941679\pi\)
\(234\) −10.1678 9.81754i −0.664691 0.641793i
\(235\) 41.1325 + 4.05120i 2.68319 + 0.264271i
\(236\) −5.20696 + 15.1325i −0.338944 + 0.985040i
\(237\) 21.3381 2.48977i 1.38606 0.161728i
\(238\) −3.17565 + 5.68647i −0.205847 + 0.368599i
\(239\) −1.98590 4.79440i −0.128457 0.310124i 0.846545 0.532317i \(-0.178678\pi\)
−0.975003 + 0.222193i \(0.928678\pi\)
\(240\) −8.96901 25.6051i −0.578947 1.65280i
\(241\) 2.39452 5.78088i 0.154244 0.372379i −0.827801 0.561021i \(-0.810409\pi\)
0.982046 + 0.188642i \(0.0604086\pi\)
\(242\) −8.66002 10.9582i −0.556687 0.704419i
\(243\) −8.76732 + 12.8893i −0.562424 + 0.826849i
\(244\) −22.1081 + 5.82557i −1.41533 + 0.372944i
\(245\) 11.8337 + 14.4194i 0.756026 + 0.921220i
\(246\) 5.32019 + 5.32505i 0.339203 + 0.339513i
\(247\) 3.51096 + 17.6508i 0.223397 + 1.12309i
\(248\) −9.16061 + 2.23407i −0.581699 + 0.141863i
\(249\) 28.0067 6.09636i 1.77486 0.386341i
\(250\) 24.2577 + 16.8636i 1.53419 + 1.06655i
\(251\) 9.99406 18.6976i 0.630819 1.18018i −0.340013 0.940421i \(-0.610431\pi\)
0.970832 0.239759i \(-0.0770686\pi\)
\(252\) −7.45623 4.99196i −0.469698 0.314464i
\(253\) 5.72072 0.563441i 0.359658 0.0354232i
\(254\) 9.27049 + 7.89859i 0.581682 + 0.495602i
\(255\) −8.33896 19.1506i −0.522206 1.19926i
\(256\) 12.8537 9.52800i 0.803355 0.595500i
\(257\) 0.831044i 0.0518391i 0.999664 + 0.0259196i \(0.00825137\pi\)
−0.999664 + 0.0259196i \(0.991749\pi\)
\(258\) −5.28369 + 17.3894i −0.328948 + 1.08261i
\(259\) 0.175664 + 1.78354i 0.0109152 + 0.110824i
\(260\) 4.14321 + 25.7602i 0.256951 + 1.59758i
\(261\) 15.3922 5.28062i 0.952755 0.326862i
\(262\) 6.39704 9.20191i 0.395210 0.568496i
\(263\) 0.0464506 0.233523i 0.00286427 0.0143996i −0.979327 0.202285i \(-0.935163\pi\)
0.982191 + 0.187885i \(0.0601633\pi\)
\(264\) −3.14253 4.13475i −0.193409 0.254476i
\(265\) −32.2295 + 6.41085i −1.97984 + 0.393816i
\(266\) 4.17688 + 10.6344i 0.256101 + 0.652034i
\(267\) −6.99520 + 13.6729i −0.428099 + 0.836770i
\(268\) −4.50821 17.1087i −0.275383 1.04508i
\(269\) 3.01482 + 5.64032i 0.183817 + 0.343897i 0.956905 0.290402i \(-0.0937890\pi\)
−0.773088 + 0.634299i \(0.781289\pi\)
\(270\) 27.2233 9.32559i 1.65676 0.567537i
\(271\) 15.7411 + 6.52019i 0.956205 + 0.396073i 0.805560 0.592515i \(-0.201865\pi\)
0.150645 + 0.988588i \(0.451865\pi\)
\(272\) 9.32843 8.04474i 0.565619 0.487784i
\(273\) 6.21056 + 5.99113i 0.375880 + 0.362600i
\(274\) −5.31965 2.97079i −0.321372 0.179472i
\(275\) 10.4841 + 3.18031i 0.632213 + 0.191780i
\(276\) −18.7251 + 1.48762i −1.12712 + 0.0895444i
\(277\) 3.05117 30.9790i 0.183327 1.86135i −0.260808 0.965391i \(-0.583989\pi\)
0.444135 0.895960i \(-0.353511\pi\)
\(278\) 11.0088 + 0.203011i 0.660262 + 0.0121758i
\(279\) −2.30254 9.73240i −0.137849 0.582664i
\(280\) 5.48305 + 15.6304i 0.327675 + 0.934092i
\(281\) −11.8557 + 7.92174i −0.707253 + 0.472571i −0.856446 0.516237i \(-0.827332\pi\)
0.149193 + 0.988808i \(0.452332\pi\)
\(282\) −25.3590 + 5.03218i −1.51011 + 0.299662i
\(283\) 4.89752 + 16.1450i 0.291127 + 0.959718i 0.973495 + 0.228709i \(0.0734504\pi\)
−0.682367 + 0.731009i \(0.739050\pi\)
\(284\) 0.107477 2.91313i 0.00637761 0.172862i
\(285\) −35.2483 10.0040i −2.08793 0.592585i
\(286\) 2.27277 + 4.44740i 0.134392 + 0.262980i
\(287\) −3.24965 3.24965i −0.191821 0.191821i
\(288\) 10.0117 + 13.7027i 0.589947 + 0.807442i
\(289\) −5.31490 + 5.31490i −0.312641 + 0.312641i
\(290\) −28.5805 9.24858i −1.67830 0.543095i
\(291\) −6.27714 + 22.1170i −0.367972 + 1.29652i
\(292\) 24.7385 9.19381i 1.44771 0.538027i
\(293\) −13.6516 + 4.14118i −0.797537 + 0.241930i −0.662649 0.748930i \(-0.730568\pi\)
−0.134889 + 0.990861i \(0.543068\pi\)
\(294\) −9.69869 6.48687i −0.565639 0.378322i
\(295\) 17.4082 + 26.0533i 1.01355 + 1.51688i
\(296\) 0.844049 3.28274i 0.0490594 0.190806i
\(297\) 4.40844 3.30284i 0.255804 0.191650i
\(298\) −2.00948 + 1.93671i −0.116406 + 0.112190i
\(299\) 17.9775 + 1.77063i 1.03967 + 0.102398i
\(300\) −34.0564 11.0378i −1.96625 0.637265i
\(301\) 3.22103 10.6183i 0.185657 0.612030i
\(302\) −2.15585 7.60922i −0.124055 0.437861i
\(303\) 12.4077 12.8622i 0.712806 0.738913i
\(304\) −0.527620 21.6020i −0.0302611 1.23896i
\(305\) −17.1307 + 41.3573i −0.980904 + 2.36811i
\(306\) 8.46432 + 9.95289i 0.483873 + 0.568969i
\(307\) 0.335199 0.179168i 0.0191308 0.0102256i −0.461804 0.886982i \(-0.652798\pi\)
0.480934 + 0.876757i \(0.340298\pi\)
\(308\) 1.91978 + 2.52354i 0.109390 + 0.143792i
\(309\) −9.36991 4.79374i −0.533036 0.272706i
\(310\) −7.37836 + 16.9234i −0.419063 + 0.961187i
\(311\) 2.18515 + 10.9855i 0.123908 + 0.622930i 0.991970 + 0.126473i \(0.0403658\pi\)
−0.868062 + 0.496457i \(0.834634\pi\)
\(312\) −7.15082 14.6705i −0.404835 0.830554i
\(313\) 33.0243 + 6.56894i 1.86664 + 0.371298i 0.993277 0.115766i \(-0.0369322\pi\)
0.873366 + 0.487064i \(0.161932\pi\)
\(314\) −5.19061 28.8669i −0.292923 1.62905i
\(315\) −16.6182 + 5.70121i −0.936329 + 0.321227i
\(316\) 24.1347 + 5.73319i 1.35768 + 0.322517i
\(317\) −4.11906 + 0.405692i −0.231350 + 0.0227859i −0.213028 0.977046i \(-0.568332\pi\)
−0.0183220 + 0.999832i \(0.505832\pi\)
\(318\) 18.1323 9.68129i 1.01681 0.542900i
\(319\) −5.75030 −0.321955
\(320\) 0.390259 31.3252i 0.0218162 1.75113i
\(321\) 16.7297 7.28480i 0.933761 0.406598i
\(322\) 11.4319 0.913472i 0.637075 0.0509058i
\(323\) −1.63061 16.5559i −0.0907298 0.921195i
\(324\) −14.6068 + 10.5186i −0.811490 + 0.584366i
\(325\) 30.3637 + 16.2297i 1.68427 + 0.900263i
\(326\) −1.57610 8.76525i −0.0872919 0.485462i
\(327\) 4.55569 + 20.9289i 0.251930 + 1.15737i
\(328\) 3.66721 + 7.88029i 0.202488 + 0.435116i
\(329\) 15.4812 3.07940i 0.853507 0.169773i
\(330\) −10.1686 0.00464597i −0.559763 0.000255752i
\(331\) 10.4821 8.60246i 0.576150 0.472834i −0.300620 0.953744i \(-0.597194\pi\)
0.876770 + 0.480910i \(0.159694\pi\)
\(332\) 32.7953 + 4.45621i 1.79988 + 0.244566i
\(333\) 3.47562 + 0.919235i 0.190463 + 0.0503738i
\(334\) −1.02558 + 8.75483i −0.0561175 + 0.479043i
\(335\) −32.0050 13.2569i −1.74862 0.724302i
\(336\) −6.11635 8.36323i −0.333674 0.456252i
\(337\) 12.0570 4.99415i 0.656784 0.272049i −0.0293004 0.999571i \(-0.509328\pi\)
0.686085 + 0.727522i \(0.259328\pi\)
\(338\) −0.733128 2.58762i −0.0398769 0.140748i
\(339\) −1.85010 15.8560i −0.100484 0.861177i
\(340\) −1.47749 24.0734i −0.0801279 1.30556i
\(341\) −0.346398 + 3.51703i −0.0187585 + 0.190458i
\(342\) 22.9156 0.401637i 1.23914 0.0217180i
\(343\) 14.6275 + 9.77376i 0.789809 + 0.527733i
\(344\) −12.6061 + 16.7779i −0.679673 + 0.904602i
\(345\) −19.8800 + 30.9429i −1.07030 + 1.66591i
\(346\) 12.3981 7.95747i 0.666527 0.427796i
\(347\) 4.23495 + 13.9608i 0.227344 + 0.749453i 0.994192 + 0.107624i \(0.0343241\pi\)
−0.766848 + 0.641829i \(0.778176\pi\)
\(348\) 18.7869 + 0.355033i 1.00708 + 0.0190318i
\(349\) −0.506715 0.415850i −0.0271238 0.0222599i 0.620734 0.784021i \(-0.286835\pi\)
−0.647858 + 0.761762i \(0.724335\pi\)
\(350\) 20.7957 + 6.72945i 1.11158 + 0.359704i
\(351\) 15.6124 7.47712i 0.833326 0.399099i
\(352\) −1.77508 5.72811i −0.0946123 0.305309i
\(353\) 14.2269 14.2269i 0.757220 0.757220i −0.218596 0.975816i \(-0.570148\pi\)
0.975816 + 0.218596i \(0.0701476\pi\)
\(354\) −15.1452 12.4410i −0.804961 0.661230i
\(355\) −4.41212 3.62093i −0.234171 0.192179i
\(356\) −12.9939 + 12.0693i −0.688677 + 0.639669i
\(357\) −5.17055 6.07424i −0.273655 0.321483i
\(358\) −0.323612 0.0705971i −0.0171034 0.00373117i
\(359\) 4.19791 + 6.28261i 0.221557 + 0.331584i 0.925551 0.378622i \(-0.123602\pi\)
−0.703994 + 0.710206i \(0.748602\pi\)
\(360\) 33.2217 + 0.643005i 1.75094 + 0.0338893i
\(361\) −8.46658 5.65719i −0.445610 0.297747i
\(362\) 22.8241 + 0.420895i 1.19961 + 0.0221218i
\(363\) 16.2775 5.25916i 0.854349 0.276034i
\(364\) 4.36993 + 8.95489i 0.229046 + 0.469364i
\(365\) 15.0002 49.4491i 0.785148 2.58829i
\(366\) 2.75732 27.8650i 0.144127 1.45653i
\(367\) −4.36388 + 1.80758i −0.227793 + 0.0943548i −0.493661 0.869655i \(-0.664341\pi\)
0.265868 + 0.964009i \(0.414341\pi\)
\(368\) −20.9035 5.78758i −1.08967 0.301698i
\(369\) −8.38493 + 3.83194i −0.436502 + 0.199483i
\(370\) −4.11491 5.20691i −0.213924 0.270694i
\(371\) −11.0678 + 5.91584i −0.574609 + 0.307135i
\(372\) 1.34887 11.4692i 0.0699357 0.594650i
\(373\) −13.1916 + 10.8261i −0.683038 + 0.560555i −0.910641 0.413200i \(-0.864411\pi\)
0.227603 + 0.973754i \(0.426911\pi\)
\(374\) −1.68786 4.29730i −0.0872772 0.222208i
\(375\) −29.7189 + 20.6400i −1.53468 + 1.06585i
\(376\) −29.5021 4.56420i −1.52145 0.235381i
\(377\) −17.7233 3.52538i −0.912795 0.181566i
\(378\) 8.91506 6.42605i 0.458541 0.330521i
\(379\) −23.0581 12.3248i −1.18442 0.633084i −0.242900 0.970051i \(-0.578099\pi\)
−0.941516 + 0.336967i \(0.890599\pi\)
\(380\) −34.2879 24.7865i −1.75893 1.27152i
\(381\) −13.0264 + 7.26687i −0.667363 + 0.372293i
\(382\) −17.9975 15.3341i −0.920830 0.784560i
\(383\) −2.86507 −0.146398 −0.0731992 0.997317i \(-0.523321\pi\)
−0.0731992 + 0.997317i \(0.523321\pi\)
\(384\) 5.44575 + 18.8240i 0.277902 + 0.960609i
\(385\) 6.20830 0.316404
\(386\) −2.14910 1.83106i −0.109386 0.0931987i
\(387\) −17.7030 13.4931i −0.899895 0.685894i
\(388\) −15.5526 + 21.5144i −0.789565 + 1.09223i
\(389\) 15.2372 + 8.14447i 0.772558 + 0.412941i 0.810053 0.586356i \(-0.199438\pi\)
−0.0374956 + 0.999297i \(0.511938\pi\)
\(390\) −31.3383 6.24845i −1.58687 0.316403i
\(391\) −16.3779 3.25777i −0.828268 0.164753i
\(392\) −7.95837 10.8715i −0.401959 0.549094i
\(393\) 7.82959 + 11.2736i 0.394950 + 0.568677i
\(394\) −7.11018 18.1026i −0.358206 0.911993i
\(395\) 37.5452 30.8126i 1.88911 1.55035i
\(396\) 6.08842 1.84083i 0.305954 0.0925050i
\(397\) 24.2777 12.9767i 1.21846 0.651281i 0.268388 0.963311i \(-0.413509\pi\)
0.950072 + 0.312030i \(0.101009\pi\)
\(398\) 8.80293 + 11.1390i 0.441251 + 0.558349i
\(399\) −13.9907 + 0.251606i −0.700412 + 0.0125961i
\(400\) −32.5861 25.4369i −1.62930 1.27185i
\(401\) −18.0834 + 7.49040i −0.903043 + 0.374053i −0.785389 0.619002i \(-0.787537\pi\)
−0.117654 + 0.993055i \(0.537537\pi\)
\(402\) 21.5638 + 2.13379i 1.07550 + 0.106424i
\(403\) −3.22386 + 10.6276i −0.160592 + 0.529401i
\(404\) 18.5457 9.05020i 0.922685 0.450264i
\(405\) −0.924945 + 35.2314i −0.0459609 + 1.75066i
\(406\) −11.4702 0.211520i −0.569256 0.0104976i
\(407\) −1.05630 0.705797i −0.0523588 0.0349850i
\(408\) 5.24912 + 14.1440i 0.259870 + 0.700233i
\(409\) 10.1647 + 15.2125i 0.502612 + 0.752212i 0.992849 0.119377i \(-0.0380898\pi\)
−0.490237 + 0.871589i \(0.663090\pi\)
\(410\) 16.6273 + 3.62730i 0.821163 + 0.179140i
\(411\) 5.68240 4.83701i 0.280292 0.238592i
\(412\) −8.27093 8.90461i −0.407479 0.438698i
\(413\) 9.25020 + 7.59144i 0.455172 + 0.373550i
\(414\) 6.29138 22.1287i 0.309204 1.08757i
\(415\) 45.8223 45.8223i 2.24933 2.24933i
\(416\) −1.95930 18.7431i −0.0960625 0.918958i
\(417\) −4.93572 + 12.5495i −0.241703 + 0.614552i
\(418\) −7.70549 2.49348i −0.376888 0.121960i
\(419\) −0.719537 0.590508i −0.0351517 0.0288482i 0.616653 0.787235i \(-0.288488\pi\)
−0.651805 + 0.758387i \(0.725988\pi\)
\(420\) −20.2833 0.383311i −0.989722 0.0187036i
\(421\) −0.995637 3.28218i −0.0485244 0.159963i 0.929330 0.369251i \(-0.120386\pi\)
−0.977854 + 0.209287i \(0.932886\pi\)
\(422\) 5.98133 3.83899i 0.291166 0.186879i
\(423\) 5.05670 31.2576i 0.245865 1.51979i
\(424\) 23.4993 3.33633i 1.14122 0.162026i
\(425\) −26.4625 17.6816i −1.28362 0.857686i
\(426\) 3.29787 + 1.36779i 0.159782 + 0.0662695i
\(427\) −1.67567 + 17.0134i −0.0810914 + 0.823334i
\(428\) 21.0302 1.29071i 1.01653 0.0623889i
\(429\) −6.07574 + 0.708929i −0.293340 + 0.0342274i
\(430\) 11.2008 + 39.5339i 0.540150 + 1.90649i
\(431\) −24.7182 + 10.2386i −1.19063 + 0.493176i −0.887961 0.459918i \(-0.847879\pi\)
−0.302672 + 0.953095i \(0.597879\pi\)
\(432\) −20.0052 + 5.63829i −0.962503 + 0.271273i
\(433\) −13.5660 5.61921i −0.651939 0.270042i 0.0321033 0.999485i \(-0.489779\pi\)
−0.684042 + 0.729443i \(0.739779\pi\)
\(434\) −0.820335 + 7.00273i −0.0393773 + 0.336142i
\(435\) 22.8248 28.8548i 1.09436 1.38348i
\(436\) −3.33004 + 24.5073i −0.159480 + 1.17369i
\(437\) −22.6437 + 18.5832i −1.08319 + 0.888954i
\(438\) −0.0147682 + 32.3230i −0.000705652 + 1.54445i
\(439\) 29.1651 5.80131i 1.39198 0.276881i 0.558531 0.829484i \(-0.311365\pi\)
0.833445 + 0.552602i \(0.186365\pi\)
\(440\) −11.0305 4.02444i −0.525857 0.191858i
\(441\) 11.5889 8.36143i 0.551852 0.398163i
\(442\) −2.56766 14.2797i −0.122131 0.679216i
\(443\) −35.7817 19.1257i −1.70004 0.908691i −0.975660 0.219290i \(-0.929626\pi\)
−0.724381 0.689400i \(-0.757874\pi\)
\(444\) 3.40748 + 2.37114i 0.161712 + 0.112529i
\(445\) 3.40350 + 34.5564i 0.161342 + 1.63813i
\(446\) 26.0735 2.08341i 1.23462 0.0986525i
\(447\) −1.36461 3.13386i −0.0645440 0.148227i
\(448\) −3.33008 11.4912i −0.157332 0.542910i
\(449\) 4.36208 0.205859 0.102930 0.994689i \(-0.467178\pi\)
0.102930 + 0.994689i \(0.467178\pi\)
\(450\) 27.2176 34.3759i 1.28305 1.62050i
\(451\) 3.24203 0.319312i 0.152661 0.0150358i
\(452\) 4.26023 17.9340i 0.200384 0.843546i
\(453\) 9.65504 + 0.775930i 0.453633 + 0.0364564i
\(454\) 3.42873 + 19.0684i 0.160918 + 0.894924i
\(455\) 19.1349 + 3.80617i 0.897057 + 0.178436i
\(456\) 25.0208 + 8.62225i 1.17171 + 0.403774i
\(457\) 4.50552 + 22.6508i 0.210759 + 1.05956i 0.930773 + 0.365599i \(0.119136\pi\)
−0.720013 + 0.693960i \(0.755864\pi\)
\(458\) 14.1696 32.5003i 0.662104 1.51864i
\(459\) −15.0400 + 5.46397i −0.702008 + 0.255036i
\(460\) −33.7995 + 25.7130i −1.57591 + 1.19887i
\(461\) −22.7642 + 12.1677i −1.06023 + 0.566706i −0.906847 0.421460i \(-0.861518\pi\)
−0.153386 + 0.988166i \(0.549018\pi\)
\(462\) −3.71669 + 1.12559i −0.172916 + 0.0523672i
\(463\) −5.43746 + 13.1272i −0.252700 + 0.610073i −0.998420 0.0561869i \(-0.982106\pi\)
0.745720 + 0.666260i \(0.232106\pi\)
\(464\) 20.2423 + 7.81120i 0.939726 + 0.362626i
\(465\) −16.2734 15.6984i −0.754661 0.727998i
\(466\) 9.10727 + 32.1447i 0.421886 + 1.48907i
\(467\) 7.87456 25.9589i 0.364391 1.20124i −0.562783 0.826605i \(-0.690269\pi\)
0.927174 0.374632i \(-0.122231\pi\)
\(468\) 19.8940 1.94103i 0.919599 0.0897242i
\(469\) −13.1661 1.29674i −0.607952 0.0598781i
\(470\) −42.0865 + 40.5624i −1.94131 + 1.87101i
\(471\) 35.3516 + 6.37332i 1.62892 + 0.293667i
\(472\) −11.5140 19.4842i −0.529977 0.896834i
\(473\) 4.36989 + 6.54000i 0.200928 + 0.300710i
\(474\) −16.8905 + 25.2535i −0.775808 + 1.15993i
\(475\) −53.4250 + 16.2063i −2.45131 + 0.743596i
\(476\) −3.20873 8.63397i −0.147072 0.395737i
\(477\) 3.36677 + 24.9485i 0.154154 + 1.14231i
\(478\) 6.98246 + 2.25951i 0.319370 + 0.103347i
\(479\) −25.2602 + 25.2602i −1.15417 + 1.15417i −0.168457 + 0.985709i \(0.553879\pi\)
−0.985709 + 0.168457i \(0.946121\pi\)
\(480\) 35.7894 + 13.8294i 1.63355 + 0.631221i
\(481\) −2.82296 2.82296i −0.128716 0.128716i
\(482\) 4.02678 + 7.87969i 0.183415 + 0.358910i
\(483\) −3.83494 + 13.5121i −0.174496 + 0.614823i
\(484\) 19.7389 + 0.728252i 0.897224 + 0.0331024i
\(485\) 15.0886 + 49.7406i 0.685140 + 2.25860i
\(486\) −5.83387 21.2595i −0.264630 0.964350i
\(487\) −12.5316 + 8.37335i −0.567861 + 0.379433i −0.806105 0.591773i \(-0.798428\pi\)
0.238244 + 0.971205i \(0.423428\pi\)
\(488\) 14.0059 29.1419i 0.634016 1.31919i
\(489\) 10.7343 + 1.93522i 0.485422 + 0.0875137i
\(490\) −26.3756 0.486388i −1.19153 0.0219728i
\(491\) −1.58286 + 16.0711i −0.0714336 + 0.725278i 0.891044 + 0.453917i \(0.149974\pi\)
−0.962478 + 0.271361i \(0.912526\pi\)
\(492\) −10.6118 + 0.843061i −0.478417 + 0.0380081i
\(493\) 15.9850 + 4.84901i 0.719930 + 0.218388i
\(494\) −22.2208 12.4093i −0.999759 0.558322i
\(495\) 4.34913 11.6699i 0.195479 0.524521i
\(496\) 5.99693 11.9102i 0.269270 0.534783i
\(497\) −2.01385 0.834164i −0.0903335 0.0374174i
\(498\) −19.1244 + 35.7399i −0.856985 + 1.60155i
\(499\) −12.4977 23.3816i −0.559474 1.04670i −0.989588 0.143928i \(-0.954027\pi\)
0.430114 0.902774i \(-0.358473\pi\)
\(500\) −40.4017 + 10.6460i −1.80682 + 0.476102i
\(501\) −9.61097 4.91706i −0.429387 0.219678i
\(502\) 10.9612 + 27.9072i 0.489222 + 1.24556i
\(503\) 10.2952 2.04784i 0.459040 0.0913087i 0.0398467 0.999206i \(-0.487313\pi\)
0.419193 + 0.907897i \(0.362313\pi\)
\(504\) 12.2124 3.44796i 0.543981 0.153585i
\(505\) 7.88264 39.6287i 0.350773 1.76345i
\(506\) −4.64035 + 6.67498i −0.206289 + 0.296739i
\(507\) 3.28333 + 0.263866i 0.145818 + 0.0117187i
\(508\) −17.0053 + 2.73509i −0.754486 + 0.121350i
\(509\) 2.01683 + 20.4772i 0.0893942 + 0.907635i 0.930385 + 0.366585i \(0.119473\pi\)
−0.840990 + 0.541050i \(0.818027\pi\)
\(510\) 28.2634 + 8.58771i 1.25152 + 0.380270i
\(511\) 19.7344i 0.872998i
\(512\) −1.53237 + 22.5755i −0.0677220 + 0.997704i
\(513\) −9.32803 + 26.4749i −0.411843 + 1.16890i
\(514\) −0.894598 0.762210i −0.0394590 0.0336196i
\(515\) −23.6811 + 2.33238i −1.04351 + 0.102777i
\(516\) −13.8732 21.6368i −0.610732 0.952506i
\(517\) −5.27446 + 9.86783i −0.231971 + 0.433987i
\(518\) −2.08105 1.44672i −0.0914362 0.0635651i
\(519\) 3.83765 + 17.6302i 0.168454 + 0.773880i
\(520\) −31.5302 19.1664i −1.38269 0.840504i
\(521\) −2.71770 13.6628i −0.119064 0.598577i −0.993538 0.113503i \(-0.963793\pi\)
0.874473 0.485074i \(-0.161207\pi\)
\(522\) −8.43287 + 21.4126i −0.369097 + 0.937203i
\(523\) −6.43843 7.84524i −0.281533 0.343049i 0.612974 0.790103i \(-0.289973\pi\)
−0.894507 + 0.447054i \(0.852473\pi\)
\(524\) 4.03845 + 15.3260i 0.176420 + 0.669518i
\(525\) −16.6077 + 20.9953i −0.724822 + 0.916312i
\(526\) 0.208778 + 0.264183i 0.00910316 + 0.0115189i
\(527\) 3.92872 9.48477i 0.171138 0.413163i
\(528\) 7.33319 + 0.409419i 0.319136 + 0.0178177i
\(529\) 2.45047 + 5.91595i 0.106542 + 0.257215i
\(530\) 22.6589 40.5741i 0.984239 1.76243i
\(531\) 20.7499 12.0697i 0.900467 0.523781i
\(532\) −15.2785 5.25722i −0.662408 0.227929i
\(533\) 10.1882 + 1.00345i 0.441298 + 0.0434641i
\(534\) −8.30276 20.0706i −0.359296 0.868539i
\(535\) 22.9196 34.3015i 0.990899 1.48299i
\(536\) 22.5519 + 10.8387i 0.974094 + 0.468159i
\(537\) 0.219273 0.341295i 0.00946235 0.0147280i
\(538\) −8.83677 1.92777i −0.380980 0.0831121i
\(539\) −4.83233 + 1.46587i −0.208143 + 0.0631395i
\(540\) −14.9296 + 37.8583i −0.642469 + 1.62916i
\(541\) 26.4139 32.1854i 1.13562 1.38376i 0.223065 0.974803i \(-0.428394\pi\)
0.912555 0.408954i \(-0.134106\pi\)
\(542\) −21.4561 + 10.9648i −0.921619 + 0.470978i
\(543\) −10.2331 + 26.0184i −0.439142 + 1.11656i
\(544\) 0.104193 + 17.4202i 0.00446722 + 0.746886i
\(545\) 34.2421 + 34.2421i 1.46677 + 1.46677i
\(546\) −12.1454 + 1.19062i −0.519777 + 0.0509538i
\(547\) −2.47919 + 3.02091i −0.106003 + 0.129165i −0.823309 0.567593i \(-0.807875\pi\)
0.717307 + 0.696758i \(0.245375\pi\)
\(548\) 8.07701 3.00174i 0.345033 0.128228i
\(549\) 30.8065 + 15.0682i 1.31479 + 0.643097i
\(550\) −13.0392 + 8.36895i −0.555994 + 0.356853i
\(551\) 24.3642 16.2796i 1.03795 0.693535i
\(552\) 15.5727 21.5214i 0.662818 0.916013i
\(553\) 10.3052 15.4229i 0.438224 0.655848i
\(554\) 30.5497 + 31.6976i 1.29793 + 1.34670i
\(555\) 7.73446 2.49895i 0.328309 0.106074i
\(556\) −10.3155 + 11.6645i −0.437473 + 0.494683i
\(557\) −10.0964 3.06272i −0.427799 0.129772i 0.0690403 0.997614i \(-0.478006\pi\)
−0.496840 + 0.867842i \(0.665506\pi\)
\(558\) 12.5885 + 6.44765i 0.532914 + 0.272951i
\(559\) 9.45912 + 22.8363i 0.400078 + 0.965874i
\(560\) −21.8546 8.43335i −0.923524 0.356374i
\(561\) 5.65360 0.101673i 0.238695 0.00429264i
\(562\) 2.34618 20.0280i 0.0989674 0.844828i
\(563\) −0.888344 1.66197i −0.0374392 0.0700439i 0.862506 0.506047i \(-0.168894\pi\)
−0.899945 + 0.436003i \(0.856394\pi\)
\(564\) 17.8416 31.9137i 0.751265 1.34381i
\(565\) −22.8962 27.8992i −0.963252 1.17373i
\(566\) −21.8715 9.53564i −0.919328 0.400813i
\(567\) 3.56772 + 12.9781i 0.149830 + 0.545027i
\(568\) 3.03733 + 2.78753i 0.127444 + 0.116962i
\(569\) −2.76972 + 13.9243i −0.116113 + 0.583738i 0.878294 + 0.478121i \(0.158682\pi\)
−0.994407 + 0.105617i \(0.966318\pi\)
\(570\) 43.0977 28.7685i 1.80517 1.20498i
\(571\) 9.09537 17.0162i 0.380630 0.712108i −0.616538 0.787326i \(-0.711465\pi\)
0.997167 + 0.0752176i \(0.0239651\pi\)
\(572\) −6.87203 1.63245i −0.287334 0.0682562i
\(573\) 25.2891 14.1077i 1.05647 0.589357i
\(574\) 6.47866 0.517680i 0.270414 0.0216075i
\(575\) 56.0397i 2.33702i
\(576\) −23.9331 1.79039i −0.997214 0.0745994i
\(577\) 7.21242i 0.300257i 0.988666 + 0.150128i \(0.0479687\pi\)
−0.988666 + 0.150128i \(0.952031\pi\)
\(578\) −0.846680 10.5960i −0.0352173 0.440737i
\(579\) 3.01980 1.68462i 0.125499 0.0700104i
\(580\) 36.1691 22.2836i 1.50184 0.925278i
\(581\) 11.6662 21.8259i 0.483994 0.905490i
\(582\) −18.0512 27.0423i −0.748247 1.12094i
\(583\) 1.73551 8.72498i 0.0718773 0.361352i
\(584\) −12.7925 + 35.0626i −0.529359 + 1.45090i
\(585\) 20.5592 33.3019i 0.850017 1.37686i
\(586\) 8.06302 18.4938i 0.333080 0.763972i
\(587\) −2.54335 3.09909i −0.104975 0.127913i 0.717872 0.696175i \(-0.245116\pi\)
−0.822848 + 0.568262i \(0.807616\pi\)
\(588\) 15.8783 4.49082i 0.654810 0.185198i
\(589\) −8.48934 15.8824i −0.349797 0.654425i
\(590\) −44.0120 5.15579i −1.81195 0.212260i
\(591\) 23.8160 0.428302i 0.979660 0.0176180i
\(592\) 2.75965 + 3.91943i 0.113421 + 0.161088i
\(593\) −13.3989 32.3477i −0.550225 1.32836i −0.917310 0.398173i \(-0.869644\pi\)
0.367085 0.930187i \(-0.380356\pi\)
\(594\) −0.487872 + 7.77484i −0.0200176 + 0.319006i
\(595\) −17.2582 5.23522i −0.707518 0.214623i
\(596\) −0.241780 3.93945i −0.00990370 0.161366i
\(597\) −16.5461 + 5.34594i −0.677189 + 0.218795i
\(598\) −18.3945 + 17.7284i −0.752207 + 0.724967i
\(599\) 9.33449 13.9700i 0.381397 0.570801i −0.590255 0.807217i \(-0.700973\pi\)
0.971652 + 0.236416i \(0.0759728\pi\)
\(600\) 43.1174 26.5373i 1.76026 1.08338i
\(601\) 21.4211 14.3131i 0.873783 0.583843i −0.0358030 0.999359i \(-0.511399\pi\)
0.909586 + 0.415516i \(0.136399\pi\)
\(602\) 8.47611 + 13.2062i 0.345460 + 0.538243i
\(603\) −11.6608 + 23.8401i −0.474864 + 0.970843i
\(604\) 10.1684 + 4.65824i 0.413747 + 0.189541i
\(605\) 24.5349 29.8959i 0.997487 1.21544i
\(606\) 2.46579 + 25.1534i 0.100166 + 1.02179i
\(607\) 29.6070 + 29.6070i 1.20171 + 1.20171i 0.973646 + 0.228063i \(0.0732393\pi\)
0.228063 + 0.973646i \(0.426761\pi\)
\(608\) 23.7379 + 19.2447i 0.962698 + 0.780476i
\(609\) 5.14260 13.0755i 0.208389 0.529846i
\(610\) −28.8082 56.3725i −1.16641 2.28246i
\(611\) −22.3064 + 27.1804i −0.902421 + 1.09960i
\(612\) −18.4773 0.0168843i −0.746899 0.000682507i
\(613\) −5.47013 + 1.65935i −0.220937 + 0.0670204i −0.398812 0.917033i \(-0.630577\pi\)
0.177876 + 0.984053i \(0.443077\pi\)
\(614\) −0.114566 + 0.525161i −0.00462349 + 0.0211938i
\(615\) −11.2663 + 17.5358i −0.454302 + 0.707113i
\(616\) −4.47729 0.247920i −0.180395 0.00998897i
\(617\) 9.42912 14.1117i 0.379602 0.568115i −0.591642 0.806201i \(-0.701520\pi\)
0.971244 + 0.238086i \(0.0765201\pi\)
\(618\) 13.7541 5.68979i 0.553273 0.228877i
\(619\) −39.6756 3.90771i −1.59470 0.157064i −0.738697 0.674038i \(-0.764559\pi\)
−0.856001 + 0.516974i \(0.827059\pi\)
\(620\) −11.4504 23.4643i −0.459860 0.942350i
\(621\) 22.7125 + 16.6743i 0.911422 + 0.669118i
\(622\) −13.8297 7.72331i −0.554522 0.309677i
\(623\) 5.07474 + 12.2515i 0.203315 + 0.490846i
\(624\) 22.3510 + 5.75770i 0.894754 + 0.230492i
\(625\) −11.5311 + 27.8386i −0.461245 + 1.11354i
\(626\) −37.3602 + 29.5250i −1.49321 + 1.18005i
\(627\) 6.15371 7.77946i 0.245755 0.310682i
\(628\) 35.8351 + 20.8883i 1.42998 + 0.833534i
\(629\) 2.34120 + 2.85276i 0.0933496 + 0.113747i
\(630\) 9.10453 23.1180i 0.362733 0.921045i
\(631\) −7.02784 35.3313i −0.279774 1.40652i −0.823529 0.567275i \(-0.807998\pi\)
0.543755 0.839244i \(-0.317002\pi\)
\(632\) −28.3073 + 20.7221i −1.12600 + 0.824279i
\(633\) 1.85143 + 8.50549i 0.0735878 + 0.338063i
\(634\) 3.34117 4.80615i 0.132695 0.190877i
\(635\) −15.8973 + 29.7417i −0.630865 + 1.18026i
\(636\) −6.20880 + 28.3984i −0.246195 + 1.12607i
\(637\) −15.7926 + 1.55544i −0.625727 + 0.0616287i
\(638\) 5.27401 6.19005i 0.208800 0.245066i
\(639\) −2.97877 + 3.20111i −0.117838 + 0.126634i
\(640\) 33.3628 + 29.1507i 1.31878 + 1.15228i
\(641\) 41.1629i 1.62584i −0.582377 0.812919i \(-0.697877\pi\)
0.582377 0.812919i \(-0.302123\pi\)
\(642\) −7.50211 + 24.6905i −0.296084 + 0.974457i
\(643\) 3.18433 + 32.3311i 0.125578 + 1.27501i 0.826973 + 0.562241i \(0.190061\pi\)
−0.701396 + 0.712772i \(0.747439\pi\)
\(644\) −9.50169 + 13.1440i −0.374419 + 0.517945i
\(645\) −50.1630 4.03136i −1.97517 0.158735i
\(646\) 19.3176 + 13.4293i 0.760039 + 0.528368i
\(647\) −1.79414 + 9.01976i −0.0705350 + 0.354603i −0.999894 0.0145744i \(-0.995361\pi\)
0.929359 + 0.369178i \(0.120361\pi\)
\(648\) 2.07397 25.3712i 0.0814732 0.996676i
\(649\) −8.31956 + 1.65486i −0.326571 + 0.0649591i
\(650\) −45.3196 + 17.8003i −1.77758 + 0.698185i
\(651\) −7.68754 3.93302i −0.301298 0.154147i
\(652\) 10.8811 + 6.34260i 0.426137 + 0.248396i
\(653\) 2.59139 + 4.84815i 0.101409 + 0.189723i 0.927509 0.373801i \(-0.121946\pi\)
−0.826100 + 0.563523i \(0.809446\pi\)
\(654\) −26.7078 14.2913i −1.04436 0.558834i
\(655\) 28.6700 + 11.8755i 1.12023 + 0.464015i
\(656\) −11.8464 3.27992i −0.462524 0.128059i
\(657\) −37.0951 13.8246i −1.44722 0.539350i
\(658\) −10.8840 + 19.4895i −0.424303 + 0.759779i
\(659\) −25.0827 7.60875i −0.977083 0.296395i −0.238936 0.971035i \(-0.576799\pi\)
−0.738147 + 0.674640i \(0.764299\pi\)
\(660\) 9.33134 10.9420i 0.363222 0.425916i
\(661\) 1.29327 13.1308i 0.0503025 0.510729i −0.936712 0.350100i \(-0.886148\pi\)
0.987015 0.160629i \(-0.0513524\pi\)
\(662\) −0.353579 + 19.1737i −0.0137422 + 0.745206i
\(663\) 17.4876 + 3.15272i 0.679160 + 0.122441i
\(664\) −34.8759 + 31.2162i −1.35345 + 1.21142i
\(665\) −26.3047 + 17.5762i −1.02005 + 0.681578i
\(666\) −4.17727 + 2.89832i −0.161866 + 0.112308i
\(667\) −8.53818 28.1466i −0.330600 1.08984i
\(668\) −8.48371 9.13369i −0.328245 0.353393i
\(669\) −8.74660 + 30.8180i −0.338163 + 1.19149i
\(670\) 43.6248 22.2937i 1.68537 0.861281i
\(671\) −8.56904 8.56904i −0.330804 0.330804i
\(672\) 14.6125 + 1.08642i 0.563691 + 0.0419095i
\(673\) 33.8929 33.8929i 1.30647 1.30647i 0.382533 0.923942i \(-0.375052\pi\)
0.923942 0.382533i \(-0.124948\pi\)
\(674\) −5.68221 + 17.5595i −0.218871 + 0.676367i
\(675\) 27.8311 + 45.9259i 1.07122 + 1.76769i
\(676\) 3.45791 + 1.58410i 0.132997 + 0.0609269i
\(677\) −23.4960 + 7.12744i −0.903025 + 0.273930i −0.707454 0.706760i \(-0.750156\pi\)
−0.195572 + 0.980689i \(0.562656\pi\)
\(678\) 18.7654 + 12.5510i 0.720680 + 0.482020i
\(679\) 11.0285 + 16.5053i 0.423233 + 0.633414i
\(680\) 27.2695 + 20.4890i 1.04574 + 0.785716i
\(681\) −23.3520 4.20998i −0.894850 0.161327i
\(682\) −3.46829 3.59861i −0.132808 0.137798i
\(683\) 17.4435 + 1.71803i 0.667456 + 0.0657386i 0.426069 0.904690i \(-0.359898\pi\)
0.241386 + 0.970429i \(0.422398\pi\)
\(684\) −20.5852 + 25.0365i −0.787096 + 0.957294i
\(685\) 4.89751 16.1449i 0.187124 0.616866i
\(686\) −23.9371 + 6.78188i −0.913922 + 0.258933i
\(687\) 31.2520 + 30.1478i 1.19234 + 1.15021i
\(688\) −6.49903 28.9583i −0.247773 1.10402i
\(689\) 10.6982 25.8277i 0.407568 0.983956i
\(690\) −15.0758 49.7802i −0.573927 1.89510i
\(691\) −20.8240 + 11.1307i −0.792183 + 0.423431i −0.817270 0.576255i \(-0.804514\pi\)
0.0250872 + 0.999685i \(0.492014\pi\)
\(692\) −2.80518 + 20.6446i −0.106637 + 0.784790i
\(693\) 0.295695 4.74696i 0.0112325 0.180322i
\(694\) −18.9126 8.24559i −0.717911 0.312998i
\(695\) 5.94800 + 29.9026i 0.225620 + 1.13427i
\(696\) −17.6130 + 19.8980i −0.667619 + 0.754232i
\(697\) −9.28165 1.84623i −0.351568 0.0699311i
\(698\) 0.912396 0.164060i 0.0345347 0.00620975i
\(699\) −40.7871 3.27787i −1.54271 0.123980i
\(700\) −26.3173 + 16.2140i −0.994702 + 0.612832i
\(701\) 23.8171 2.34578i 0.899559 0.0885988i 0.362344 0.932044i \(-0.381977\pi\)
0.537215 + 0.843446i \(0.319477\pi\)
\(702\) −6.27027 + 23.6641i −0.236656 + 0.893144i
\(703\) 6.47374 0.244162
\(704\) 7.79422 + 3.34283i 0.293756 + 0.125987i
\(705\) −28.5805 65.6357i −1.07640 2.47198i
\(706\) 2.26638 + 28.3633i 0.0852965 + 1.06747i
\(707\) −1.51247 15.3564i −0.0568824 0.577537i
\(708\) 27.2832 4.89297i 1.02536 0.183889i
\(709\) 30.7417 + 16.4318i 1.15453 + 0.617108i 0.933648 0.358193i \(-0.116607\pi\)
0.220881 + 0.975301i \(0.429107\pi\)
\(710\) 7.94451 1.42852i 0.298152 0.0536113i
\(711\) −21.7715 30.1752i −0.816496 1.13166i
\(712\) −1.07457 25.0572i −0.0402714 0.939059i
\(713\) −17.7295 + 3.52663i −0.663977 + 0.132073i
\(714\) 11.2810 + 0.00515424i 0.422182 + 0.000192893i
\(715\) −10.6905 + 8.77347i −0.399802 + 0.328109i
\(716\) 0.372804 0.283611i 0.0139323 0.0105990i
\(717\) −5.57628 + 7.04948i −0.208250 + 0.263268i
\(718\) −10.6133 1.24329i −0.396084 0.0463992i
\(719\) −8.27813 3.42891i −0.308722 0.127877i 0.222943 0.974831i \(-0.428434\pi\)
−0.531665 + 0.846955i \(0.678434\pi\)
\(720\) −31.1622 + 35.1726i −1.16135 + 1.31081i
\(721\) −8.39582 + 3.47766i −0.312677 + 0.129515i
\(722\) 13.8551 3.92545i 0.515635 0.146090i
\(723\) −10.7647 + 1.25605i −0.400344 + 0.0467129i
\(724\) −21.3867 + 24.1835i −0.794830 + 0.898773i
\(725\) 5.49467 55.7883i 0.204067 2.07193i
\(726\) −9.26794 + 22.3459i −0.343965 + 0.829334i
\(727\) −12.8882 8.61159i −0.477995 0.319386i 0.293127 0.956074i \(-0.405304\pi\)
−0.771122 + 0.636687i \(0.780304\pi\)
\(728\) −13.6477 3.50905i −0.505817 0.130054i
\(729\) 26.8944 + 2.38526i 0.996090 + 0.0883431i
\(730\) 39.4730 + 61.5007i 1.46096 + 2.27624i
\(731\) −6.63276 21.8653i −0.245321 0.808716i
\(732\) 27.4670 + 28.5252i 1.01521 + 1.05432i
\(733\) −13.7805 11.3093i −0.508993 0.417720i 0.344529 0.938776i \(-0.388038\pi\)
−0.853523 + 0.521055i \(0.825538\pi\)
\(734\) 2.05661 6.35546i 0.0759110 0.234584i
\(735\) 11.8253 30.0670i 0.436184 1.10904i
\(736\) 25.4023 17.1939i 0.936341 0.633777i
\(737\) 6.63129 6.63129i 0.244267 0.244267i
\(738\) 3.56543 12.5407i 0.131245 0.461630i
\(739\) 27.3526 + 22.4477i 1.00618 + 0.825751i 0.984742 0.174019i \(-0.0556755\pi\)
0.0214381 + 0.999770i \(0.493176\pi\)
\(740\) 9.37918 + 0.346037i 0.344785 + 0.0127206i
\(741\) 23.7360 20.2047i 0.871965 0.742239i
\(742\) 3.78278 17.3400i 0.138870 0.636571i
\(743\) −9.23776 13.8253i −0.338900 0.507200i 0.622401 0.782698i \(-0.286157\pi\)
−0.961302 + 0.275498i \(0.911157\pi\)
\(744\) 11.1091 + 11.9712i 0.407281 + 0.438887i
\(745\) −6.42548 4.29337i −0.235411 0.157297i
\(746\) 0.444975 24.1299i 0.0162917 0.883457i
\(747\) −32.8540 37.2189i −1.20206 1.36177i
\(748\) 6.17399 + 2.12442i 0.225743 + 0.0776765i
\(749\) 4.57342 15.0765i 0.167109 0.550885i
\(750\) 5.03888 50.9221i 0.183994 1.85941i
\(751\) −35.5410 + 14.7216i −1.29691 + 0.537198i −0.921038 0.389474i \(-0.872657\pi\)
−0.375873 + 0.926671i \(0.622657\pi\)
\(752\) 31.9717 27.5721i 1.16589 1.00545i
\(753\) −36.7152 + 0.660278i −1.33798 + 0.0240619i
\(754\) 20.0502 15.8453i 0.730187 0.577051i
\(755\) 19.3134 10.3232i 0.702886 0.375701i
\(756\) −1.25916 + 15.4906i −0.0457951 + 0.563389i
\(757\) −16.9379 + 13.9006i −0.615620 + 0.505226i −0.889739 0.456470i \(-0.849114\pi\)
0.274119 + 0.961696i \(0.411614\pi\)
\(758\) 34.4156 13.5175i 1.25003 0.490978i
\(759\) −5.67950 8.17774i −0.206153 0.296833i
\(760\) 58.1299 14.1766i 2.10859 0.514238i
\(761\) 13.7141 + 2.72791i 0.497137 + 0.0988868i 0.437290 0.899321i \(-0.355938\pi\)
0.0598478 + 0.998208i \(0.480938\pi\)
\(762\) 4.12484 20.6876i 0.149427 0.749431i
\(763\) 16.3101 + 8.71791i 0.590464 + 0.315609i
\(764\) 33.0135 5.30982i 1.19439 0.192102i
\(765\) −21.9307 + 28.7732i −0.792907 + 1.04030i
\(766\) 2.62776 3.08418i 0.0949449 0.111436i
\(767\) −26.6567 −0.962516
\(768\) −25.2583 11.4026i −0.911429 0.411457i
\(769\) −22.3545 −0.806125 −0.403063 0.915172i \(-0.632054\pi\)
−0.403063 + 0.915172i \(0.632054\pi\)
\(770\) −5.69407 + 6.68307i −0.205200 + 0.240841i
\(771\) 1.25704 0.701249i 0.0452712 0.0252549i
\(772\) 3.94219 0.634053i 0.141882 0.0228201i
\(773\) −31.1263 16.6374i −1.11954 0.598405i −0.195498 0.980