Properties

Label 483.2.bf.a.61.26
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.26
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.26

$q$-expansion

\(f(q)\) \(=\) \(q+(1.29838 + 1.02106i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(0.171718 + 0.707830i) q^{4} +(0.682795 - 0.131598i) q^{5} +(-0.465359 - 1.58487i) q^{6} +(2.26501 + 1.36739i) q^{7} +(0.872563 - 1.91065i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(1.29838 + 1.02106i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(0.171718 + 0.707830i) q^{4} +(0.682795 - 0.131598i) q^{5} +(-0.465359 - 1.58487i) q^{6} +(2.26501 + 1.36739i) q^{7} +(0.872563 - 1.91065i) q^{8} +(0.327068 + 0.945001i) q^{9} +(1.02090 + 0.526310i) q^{10} +(-2.09562 - 2.66479i) q^{11} +(0.270705 - 0.676188i) q^{12} +(0.864444 + 1.34510i) q^{13} +(1.54466 + 4.08810i) q^{14} +(-0.632522 - 0.288863i) q^{15} +(4.37859 - 2.25732i) q^{16} +(3.99965 + 3.81366i) q^{17} +(-0.540243 + 1.56093i) q^{18} +(4.05104 - 3.86266i) q^{19} +(0.210397 + 0.460705i) q^{20} +(-1.05186 - 2.42767i) q^{21} -5.59967i q^{22} +(3.31934 - 3.46150i) q^{23} +(-1.81905 + 1.05023i) q^{24} +(-4.19295 + 1.67860i) q^{25} +(-0.251049 + 2.62911i) q^{26} +(0.281733 - 0.959493i) q^{27} +(-0.578936 + 1.83805i) q^{28} +(-2.35684 + 0.692031i) q^{29} +(-0.526310 - 1.02090i) q^{30} +(0.692946 + 7.25686i) q^{31} +(3.86495 + 0.744907i) q^{32} +(0.161307 + 3.38625i) q^{33} +(1.29911 + 9.03548i) q^{34} +(1.72648 + 0.635575i) q^{35} +(-0.612737 + 0.393782i) q^{36} +(-8.00474 + 2.77047i) q^{37} +(9.20380 - 0.878857i) q^{38} +(0.0760799 - 1.59711i) q^{39} +(0.344344 - 1.41941i) q^{40} +(8.73785 - 7.57139i) q^{41} +(1.11309 - 4.22606i) q^{42} +(-6.54426 + 2.98866i) q^{43} +(1.52637 - 1.94093i) q^{44} +(0.347680 + 0.602200i) q^{45} +(7.84417 - 1.10510i) q^{46} +(-1.10971 - 0.640689i) q^{47} +(-4.87607 - 0.701073i) q^{48} +(3.26051 + 6.19428i) q^{49} +(-7.15801 - 2.10178i) q^{50} +(-1.04588 - 5.42655i) q^{51} +(-0.803663 + 0.842858i) q^{52} +(-9.75680 - 0.464774i) q^{53} +(1.34550 - 0.958124i) q^{54} +(-1.78156 - 1.54373i) q^{55} +(4.58895 - 3.13449i) q^{56} +(-5.54044 + 0.796595i) q^{57} +(-3.76669 - 1.50795i) q^{58} +(-3.95337 + 7.66848i) q^{59} +(0.0958509 - 0.497322i) q^{60} +(-2.25491 - 3.16658i) q^{61} +(-6.50998 + 10.1297i) q^{62} +(-0.551371 + 2.58766i) q^{63} +(-2.19438 - 2.53245i) q^{64} +(0.767250 + 0.804669i) q^{65} +(-3.24813 + 4.56136i) q^{66} +(-0.828051 - 2.06837i) q^{67} +(-2.01261 + 3.48595i) q^{68} +(-4.71172 + 0.894246i) q^{69} +(1.59267 + 2.58806i) q^{70} +(2.03278 - 14.1383i) q^{71} +(2.09095 + 0.199661i) q^{72} +(-15.6197 + 3.78929i) q^{73} +(-13.2220 - 4.57619i) q^{74} +(4.38916 + 1.06480i) q^{75} +(3.42974 + 2.20416i) q^{76} +(-1.10278 - 8.90129i) q^{77} +(1.72953 - 1.99598i) q^{78} +(11.8464 - 0.564315i) q^{79} +(2.69262 - 2.11750i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(19.0759 - 0.908698i) q^{82} +(-6.10485 + 7.04537i) q^{83} +(1.53776 - 1.16141i) q^{84} +(3.23281 + 2.07760i) q^{85} +(-11.5486 - 2.80165i) q^{86} +(2.32124 + 0.803390i) q^{87} +(-6.92003 + 1.67878i) q^{88} +(-11.2130 - 1.07071i) q^{89} +(-0.163460 + 1.13689i) q^{90} +(0.118697 + 4.22869i) q^{91} +(3.02014 + 1.75513i) q^{92} +(3.64493 - 6.31321i) q^{93} +(-0.786642 - 1.96494i) q^{94} +(2.25771 - 3.17051i) q^{95} +(-2.71620 - 2.84867i) q^{96} +(-3.89631 - 4.49658i) q^{97} +(-2.09134 + 11.3717i) q^{98} +(1.83282 - 2.85193i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.29838 + 1.02106i 0.918096 + 0.721998i 0.960845 0.277088i \(-0.0893692\pi\)
−0.0427492 + 0.999086i \(0.513612\pi\)
\(3\) −0.814576 0.580057i −0.470296 0.334896i
\(4\) 0.171718 + 0.707830i 0.0858589 + 0.353915i
\(5\) 0.682795 0.131598i 0.305355 0.0588524i −0.0342720 0.999413i \(-0.510911\pi\)
0.339627 + 0.940560i \(0.389699\pi\)
\(6\) −0.465359 1.58487i −0.189982 0.647019i
\(7\) 2.26501 + 1.36739i 0.856092 + 0.516824i
\(8\) 0.872563 1.91065i 0.308498 0.675515i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) 1.02090 + 0.526310i 0.322836 + 0.166434i
\(11\) −2.09562 2.66479i −0.631852 0.803465i 0.359715 0.933062i \(-0.382874\pi\)
−0.991567 + 0.129597i \(0.958632\pi\)
\(12\) 0.270705 0.676188i 0.0781457 0.195199i
\(13\) 0.864444 + 1.34510i 0.239754 + 0.373064i 0.940190 0.340651i \(-0.110647\pi\)
−0.700436 + 0.713715i \(0.747011\pi\)
\(14\) 1.54466 + 4.08810i 0.412828 + 1.09259i
\(15\) −0.632522 0.288863i −0.163317 0.0745842i
\(16\) 4.37859 2.25732i 1.09465 0.564330i
\(17\) 3.99965 + 3.81366i 0.970059 + 0.924949i 0.997207 0.0746823i \(-0.0237943\pi\)
−0.0271487 + 0.999631i \(0.508643\pi\)
\(18\) −0.540243 + 1.56093i −0.127336 + 0.367915i
\(19\) 4.05104 3.86266i 0.929372 0.886154i −0.0643621 0.997927i \(-0.520501\pi\)
0.993734 + 0.111772i \(0.0356528\pi\)
\(20\) 0.210397 + 0.460705i 0.0470462 + 0.103017i
\(21\) −1.05186 2.42767i −0.229534 0.529762i
\(22\) 5.59967i 1.19385i
\(23\) 3.31934 3.46150i 0.692131 0.721772i
\(24\) −1.81905 + 1.05023i −0.371312 + 0.214377i
\(25\) −4.19295 + 1.67860i −0.838590 + 0.335721i
\(26\) −0.251049 + 2.62911i −0.0492348 + 0.515610i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) −0.578936 + 1.83805i −0.109409 + 0.347358i
\(29\) −2.35684 + 0.692031i −0.437654 + 0.128507i −0.493135 0.869953i \(-0.664149\pi\)
0.0554805 + 0.998460i \(0.482331\pi\)
\(30\) −0.526310 1.02090i −0.0960906 0.186390i
\(31\) 0.692946 + 7.25686i 0.124457 + 1.30337i 0.814738 + 0.579829i \(0.196881\pi\)
−0.690281 + 0.723541i \(0.742513\pi\)
\(32\) 3.86495 + 0.744907i 0.683232 + 0.131682i
\(33\) 0.161307 + 3.38625i 0.0280800 + 0.589471i
\(34\) 1.29911 + 9.03548i 0.222795 + 1.54957i
\(35\) 1.72648 + 0.635575i 0.291828 + 0.107432i
\(36\) −0.612737 + 0.393782i −0.102123 + 0.0656304i
\(37\) −8.00474 + 2.77047i −1.31597 + 0.455462i −0.892745 0.450562i \(-0.851224\pi\)
−0.423226 + 0.906024i \(0.639102\pi\)
\(38\) 9.20380 0.878857i 1.49305 0.142569i
\(39\) 0.0760799 1.59711i 0.0121825 0.255743i
\(40\) 0.344344 1.41941i 0.0544456 0.224428i
\(41\) 8.73785 7.57139i 1.36462 1.18245i 0.400719 0.916201i \(-0.368760\pi\)
0.963904 0.266251i \(-0.0857851\pi\)
\(42\) 1.11309 4.22606i 0.171753 0.652095i
\(43\) −6.54426 + 2.98866i −0.997990 + 0.455767i −0.846326 0.532666i \(-0.821190\pi\)
−0.151664 + 0.988432i \(0.548463\pi\)
\(44\) 1.52637 1.94093i 0.230108 0.292607i
\(45\) 0.347680 + 0.602200i 0.0518291 + 0.0897707i
\(46\) 7.84417 1.10510i 1.15656 0.162939i
\(47\) −1.10971 0.640689i −0.161867 0.0934541i 0.416878 0.908962i \(-0.363124\pi\)
−0.578745 + 0.815508i \(0.696457\pi\)
\(48\) −4.87607 0.701073i −0.703800 0.101191i
\(49\) 3.26051 + 6.19428i 0.465787 + 0.884897i
\(50\) −7.15801 2.10178i −1.01230 0.297237i
\(51\) −1.04588 5.42655i −0.146453 0.759868i
\(52\) −0.803663 + 0.842858i −0.111448 + 0.116883i
\(53\) −9.75680 0.464774i −1.34020 0.0638416i −0.634814 0.772665i \(-0.718923\pi\)
−0.705386 + 0.708824i \(0.749226\pi\)
\(54\) 1.34550 0.958124i 0.183099 0.130384i
\(55\) −1.78156 1.54373i −0.240225 0.208156i
\(56\) 4.58895 3.13449i 0.613225 0.418864i
\(57\) −5.54044 + 0.796595i −0.733849 + 0.105512i
\(58\) −3.76669 1.50795i −0.494590 0.198004i
\(59\) −3.95337 + 7.66848i −0.514686 + 0.998351i 0.478084 + 0.878314i \(0.341331\pi\)
−0.992769 + 0.120037i \(0.961699\pi\)
\(60\) 0.0958509 0.497322i 0.0123743 0.0642040i
\(61\) −2.25491 3.16658i −0.288712 0.405439i 0.644592 0.764527i \(-0.277027\pi\)
−0.933304 + 0.359088i \(0.883088\pi\)
\(62\) −6.50998 + 10.1297i −0.826768 + 1.28648i
\(63\) −0.551371 + 2.58766i −0.0694662 + 0.326015i
\(64\) −2.19438 2.53245i −0.274298 0.316556i
\(65\) 0.767250 + 0.804669i 0.0951657 + 0.0998069i
\(66\) −3.24813 + 4.56136i −0.399817 + 0.561464i
\(67\) −0.828051 2.06837i −0.101163 0.252692i 0.869149 0.494550i \(-0.164667\pi\)
−0.970312 + 0.241859i \(0.922243\pi\)
\(68\) −2.01261 + 3.48595i −0.244065 + 0.422734i
\(69\) −4.71172 + 0.894246i −0.567225 + 0.107655i
\(70\) 1.59267 + 2.58806i 0.190361 + 0.309332i
\(71\) 2.03278 14.1383i 0.241247 1.67791i −0.404640 0.914476i \(-0.632603\pi\)
0.645887 0.763433i \(-0.276488\pi\)
\(72\) 2.09095 + 0.199661i 0.246421 + 0.0235303i
\(73\) −15.6197 + 3.78929i −1.82814 + 0.443502i −0.994125 0.108237i \(-0.965480\pi\)
−0.834017 + 0.551739i \(0.813964\pi\)
\(74\) −13.2220 4.57619i −1.53703 0.531971i
\(75\) 4.38916 + 1.06480i 0.506817 + 0.122952i
\(76\) 3.42974 + 2.20416i 0.393418 + 0.252835i
\(77\) −1.10278 8.90129i −0.125674 1.01440i
\(78\) 1.72953 1.99598i 0.195831 0.226001i
\(79\) 11.8464 0.564315i 1.33283 0.0634904i 0.630970 0.775808i \(-0.282657\pi\)
0.701858 + 0.712317i \(0.252354\pi\)
\(80\) 2.69262 2.11750i 0.301044 0.236744i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) 19.0759 0.908698i 2.10658 0.100349i
\(83\) −6.10485 + 7.04537i −0.670094 + 0.773330i −0.984391 0.175995i \(-0.943686\pi\)
0.314297 + 0.949325i \(0.398231\pi\)
\(84\) 1.53776 1.16141i 0.167783 0.126720i
\(85\) 3.23281 + 2.07760i 0.350648 + 0.225348i
\(86\) −11.5486 2.80165i −1.24531 0.302110i
\(87\) 2.32124 + 0.803390i 0.248863 + 0.0861325i
\(88\) −6.92003 + 1.67878i −0.737678 + 0.178959i
\(89\) −11.2130 1.07071i −1.18857 0.113495i −0.518027 0.855364i \(-0.673334\pi\)
−0.670545 + 0.741869i \(0.733940\pi\)
\(90\) −0.163460 + 1.13689i −0.0172302 + 0.119839i
\(91\) 0.118697 + 4.22869i 0.0124429 + 0.443287i
\(92\) 3.02014 + 1.75513i 0.314872 + 0.182985i
\(93\) 3.64493 6.31321i 0.377962 0.654650i
\(94\) −0.786642 1.96494i −0.0811359 0.202668i
\(95\) 2.25771 3.17051i 0.231636 0.325287i
\(96\) −2.71620 2.84867i −0.277221 0.290741i
\(97\) −3.89631 4.49658i −0.395610 0.456558i 0.522644 0.852551i \(-0.324946\pi\)
−0.918254 + 0.395993i \(0.870400\pi\)
\(98\) −2.09134 + 11.3717i −0.211258 + 1.14872i
\(99\) 1.83282 2.85193i 0.184206 0.286629i
\(100\) −1.90817 2.67965i −0.190817 0.267965i
\(101\) 1.36256 7.06964i 0.135580 0.703455i −0.848982 0.528421i \(-0.822784\pi\)
0.984562 0.175034i \(-0.0560036\pi\)
\(102\) 4.18287 8.11364i 0.414166 0.803370i
\(103\) 10.4982 + 4.20286i 1.03442 + 0.414120i 0.825852 0.563888i \(-0.190695\pi\)
0.208570 + 0.978007i \(0.433119\pi\)
\(104\) 3.32429 0.477961i 0.325974 0.0468680i
\(105\) −1.03768 1.51918i −0.101267 0.148257i
\(106\) −12.1935 10.5657i −1.18434 1.02623i
\(107\) −7.01448 + 4.99499i −0.678115 + 0.482884i −0.866478 0.499216i \(-0.833621\pi\)
0.188362 + 0.982100i \(0.439682\pi\)
\(108\) 0.727537 + 0.0346569i 0.0700073 + 0.00333486i
\(109\) −9.56319 + 10.0296i −0.915987 + 0.960660i −0.999357 0.0358588i \(-0.988583\pi\)
0.0833695 + 0.996519i \(0.473432\pi\)
\(110\) −0.736905 3.82343i −0.0702611 0.364549i
\(111\) 8.12750 + 2.38645i 0.771428 + 0.226512i
\(112\) 13.0042 + 0.874383i 1.22878 + 0.0826214i
\(113\) 14.4115 + 2.07206i 1.35572 + 0.194923i 0.781566 0.623822i \(-0.214421\pi\)
0.574156 + 0.818746i \(0.305330\pi\)
\(114\) −8.00698 4.62283i −0.749923 0.432968i
\(115\) 1.81090 2.80031i 0.168868 0.261130i
\(116\) −0.894552 1.54941i −0.0830571 0.143859i
\(117\) −0.988390 + 1.25684i −0.0913767 + 0.116195i
\(118\) −12.9630 + 5.91999i −1.19334 + 0.544979i
\(119\) 3.84449 + 14.1070i 0.352424 + 1.29319i
\(120\) −1.10383 + 0.956475i −0.100766 + 0.0873138i
\(121\) −0.116164 + 0.478836i −0.0105604 + 0.0435305i
\(122\) 0.305529 6.41383i 0.0276613 0.580681i
\(123\) −11.5095 + 1.09902i −1.03777 + 0.0990955i
\(124\) −5.01763 + 1.73662i −0.450597 + 0.155953i
\(125\) −5.56690 + 3.57763i −0.497918 + 0.319993i
\(126\) −3.35805 + 2.79679i −0.299159 + 0.249158i
\(127\) 1.66093 + 11.5520i 0.147384 + 1.02508i 0.920480 + 0.390790i \(0.127798\pi\)
−0.773096 + 0.634289i \(0.781293\pi\)
\(128\) −0.637936 13.3919i −0.0563861 1.18369i
\(129\) 7.06439 + 1.36155i 0.621985 + 0.119878i
\(130\) 0.174570 + 1.82818i 0.0153108 + 0.160342i
\(131\) −4.83748 9.38341i −0.422653 0.819832i −0.999994 0.00332964i \(-0.998940\pi\)
0.577341 0.816503i \(-0.304090\pi\)
\(132\) −2.36919 + 0.695658i −0.206212 + 0.0605492i
\(133\) 14.4574 3.20961i 1.25361 0.278308i
\(134\) 1.03680 3.53103i 0.0895661 0.305034i
\(135\) 0.0660983 0.692212i 0.00568883 0.0595761i
\(136\) 10.7765 4.31426i 0.924078 0.369945i
\(137\) 4.34564 2.50896i 0.371273 0.214355i −0.302741 0.953073i \(-0.597902\pi\)
0.674014 + 0.738718i \(0.264569\pi\)
\(138\) −7.03070 3.64988i −0.598493 0.310698i
\(139\) 16.6740i 1.41427i 0.707079 + 0.707135i \(0.250013\pi\)
−0.707079 + 0.707135i \(0.749987\pi\)
\(140\) −0.153412 + 1.33119i −0.0129657 + 0.112506i
\(141\) 0.532304 + 1.16558i 0.0448280 + 0.0981597i
\(142\) 17.0754 16.2814i 1.43294 1.36630i
\(143\) 1.77287 5.12238i 0.148255 0.428355i
\(144\) 3.56527 + 3.39948i 0.297106 + 0.283290i
\(145\) −1.51817 + 0.782670i −0.126077 + 0.0649972i
\(146\) −24.1494 11.0287i −1.99862 0.912738i
\(147\) 0.937105 6.93699i 0.0772911 0.572153i
\(148\) −3.33558 5.19026i −0.274183 0.426637i
\(149\) −2.44570 + 6.10906i −0.200360 + 0.500474i −0.994187 0.107669i \(-0.965661\pi\)
0.793827 + 0.608143i \(0.208085\pi\)
\(150\) 4.61159 + 5.86411i 0.376535 + 0.478803i
\(151\) −2.13811 1.10227i −0.173997 0.0897016i 0.369028 0.929418i \(-0.379691\pi\)
−0.543025 + 0.839717i \(0.682721\pi\)
\(152\) −3.84538 11.1105i −0.311902 0.901181i
\(153\) −2.29576 + 5.02700i −0.185601 + 0.406409i
\(154\) 7.65692 12.6833i 0.617012 1.02205i
\(155\) 1.42813 + 4.86376i 0.114710 + 0.390666i
\(156\) 1.14355 0.220401i 0.0915573 0.0176462i
\(157\) 1.26014 + 5.19439i 0.100570 + 0.414557i 0.999734 0.0230552i \(-0.00733935\pi\)
−0.899164 + 0.437612i \(0.855824\pi\)
\(158\) 15.9574 + 11.3632i 1.26950 + 0.904009i
\(159\) 7.67806 + 6.03809i 0.608910 + 0.478852i
\(160\) 2.73699 0.216378
\(161\) 12.2515 3.30149i 0.965556 0.260194i
\(162\) −1.65178 −0.129776
\(163\) 6.79028 + 5.33993i 0.531856 + 0.418256i 0.847637 0.530576i \(-0.178024\pi\)
−0.315782 + 0.948832i \(0.602267\pi\)
\(164\) 6.85970 + 4.88477i 0.535653 + 0.381437i
\(165\) 0.555763 + 2.29089i 0.0432661 + 0.178345i
\(166\) −15.1202 + 2.91417i −1.17355 + 0.226184i
\(167\) 0.789516 + 2.68884i 0.0610946 + 0.208069i 0.984384 0.176037i \(-0.0563279\pi\)
−0.923289 + 0.384106i \(0.874510\pi\)
\(168\) −5.55624 0.108570i −0.428673 0.00837636i
\(169\) 4.33836 9.49969i 0.333720 0.730745i
\(170\) 2.07607 + 5.99842i 0.159228 + 0.460058i
\(171\) 4.97518 + 2.56488i 0.380461 + 0.196141i
\(172\) −3.23923 4.11902i −0.246989 0.314072i
\(173\) −2.18799 + 5.46535i −0.166350 + 0.415523i −0.987997 0.154475i \(-0.950632\pi\)
0.821647 + 0.569997i \(0.193056\pi\)
\(174\) 2.19355 + 3.41324i 0.166293 + 0.258757i
\(175\) −11.7924 1.93134i −0.891418 0.145995i
\(176\) −15.1911 6.93756i −1.14508 0.522938i
\(177\) 7.66848 3.95337i 0.576398 0.297154i
\(178\) −13.4655 12.8393i −1.00928 0.962346i
\(179\) 7.69641 22.2373i 0.575257 1.66210i −0.162245 0.986751i \(-0.551873\pi\)
0.737502 0.675345i \(-0.236005\pi\)
\(180\) −0.366553 + 0.349507i −0.0273212 + 0.0260507i
\(181\) 10.8123 + 23.6755i 0.803668 + 1.75979i 0.632522 + 0.774542i \(0.282020\pi\)
0.171146 + 0.985246i \(0.445253\pi\)
\(182\) −4.16363 + 5.61166i −0.308629 + 0.415964i
\(183\) 3.88740i 0.287365i
\(184\) −3.71736 9.36246i −0.274048 0.690210i
\(185\) −5.10101 + 2.94507i −0.375033 + 0.216526i
\(186\) 11.1787 4.47527i 0.819661 0.328143i
\(187\) 1.78088 18.6502i 0.130231 1.36384i
\(188\) 0.262943 0.895501i 0.0191771 0.0653111i
\(189\) 1.95012 1.78802i 0.141851 0.130059i
\(190\) 6.16865 1.81128i 0.447521 0.131404i
\(191\) 9.04008 + 17.5353i 0.654118 + 1.26881i 0.949600 + 0.313463i \(0.101489\pi\)
−0.295483 + 0.955348i \(0.595481\pi\)
\(192\) 0.318525 + 3.33574i 0.0229875 + 0.240736i
\(193\) −1.78453 0.343941i −0.128454 0.0247574i 0.124619 0.992205i \(-0.460229\pi\)
−0.253073 + 0.967447i \(0.581441\pi\)
\(194\) −0.467624 9.81664i −0.0335735 0.704794i
\(195\) −0.158230 1.10051i −0.0113311 0.0788094i
\(196\) −3.82461 + 3.37155i −0.273187 + 0.240825i
\(197\) −7.14677 + 4.59295i −0.509186 + 0.327234i −0.769881 0.638187i \(-0.779685\pi\)
0.260695 + 0.965421i \(0.416048\pi\)
\(198\) 5.29169 1.83147i 0.376064 0.130157i
\(199\) 5.43645 0.519118i 0.385380 0.0367993i 0.0994318 0.995044i \(-0.468298\pi\)
0.285948 + 0.958245i \(0.407691\pi\)
\(200\) −0.451394 + 9.47593i −0.0319184 + 0.670049i
\(201\) −0.525263 + 2.16516i −0.0370492 + 0.152719i
\(202\) 8.98765 7.78784i 0.632369 0.547951i
\(203\) −6.28453 1.65526i −0.441088 0.116176i
\(204\) 3.66148 1.67214i 0.256355 0.117073i
\(205\) 4.96978 6.31959i 0.347104 0.441379i
\(206\) 9.33936 + 16.1762i 0.650704 + 1.12705i
\(207\) 4.35677 + 2.00464i 0.302816 + 0.139332i
\(208\) 6.82137 + 3.93832i 0.472977 + 0.273074i
\(209\) −18.7826 2.70053i −1.29922 0.186800i
\(210\) 0.203868 3.03201i 0.0140683 0.209229i
\(211\) −7.27048 2.13480i −0.500520 0.146966i 0.0217206 0.999764i \(-0.493086\pi\)
−0.522241 + 0.852798i \(0.674904\pi\)
\(212\) −1.34644 6.98597i −0.0924736 0.479798i
\(213\) −9.85688 + 10.3376i −0.675382 + 0.708321i
\(214\) −14.2077 0.676794i −0.971216 0.0462647i
\(215\) −4.07508 + 2.90185i −0.277918 + 0.197905i
\(216\) −1.58742 1.37551i −0.108010 0.0935915i
\(217\) −8.35341 + 17.3844i −0.567066 + 1.18013i
\(218\) −22.6575 + 3.25766i −1.53456 + 0.220636i
\(219\) 14.9214 + 5.97363i 1.00829 + 0.403660i
\(220\) 0.786772 1.52613i 0.0530442 0.102891i
\(221\) −1.67229 + 8.67664i −0.112490 + 0.583654i
\(222\) 8.11590 + 11.3972i 0.544703 + 0.764929i
\(223\) 4.70778 7.32545i 0.315256 0.490549i −0.647076 0.762426i \(-0.724008\pi\)
0.962332 + 0.271877i \(0.0876445\pi\)
\(224\) 7.73555 + 6.97210i 0.516853 + 0.465843i
\(225\) −2.95766 3.41332i −0.197177 0.227555i
\(226\) 16.5960 + 17.4054i 1.10395 + 1.15779i
\(227\) 5.30498 7.44980i 0.352104 0.494460i −0.600100 0.799925i \(-0.704872\pi\)
0.952203 + 0.305465i \(0.0988118\pi\)
\(228\) −1.51525 3.78490i −0.100350 0.250661i
\(229\) −2.78125 + 4.81726i −0.183790 + 0.318334i −0.943168 0.332316i \(-0.892170\pi\)
0.759378 + 0.650650i \(0.225503\pi\)
\(230\) 5.21053 1.78684i 0.343572 0.117821i
\(231\) −4.26496 + 7.89045i −0.280613 + 0.519154i
\(232\) −0.734266 + 5.10693i −0.0482069 + 0.335286i
\(233\) −10.2699 0.980655i −0.672802 0.0642448i −0.246937 0.969031i \(-0.579424\pi\)
−0.425865 + 0.904787i \(0.640030\pi\)
\(234\) −2.56662 + 0.622655i −0.167785 + 0.0407042i
\(235\) −0.842015 0.291424i −0.0549270 0.0190104i
\(236\) −6.10685 1.48150i −0.397522 0.0964378i
\(237\) −9.97715 6.41192i −0.648085 0.416499i
\(238\) −9.41252 + 22.2418i −0.610123 + 1.44172i
\(239\) 7.71333 8.90165i 0.498934 0.575800i −0.449297 0.893382i \(-0.648326\pi\)
0.948231 + 0.317582i \(0.102871\pi\)
\(240\) −3.42162 + 0.162992i −0.220864 + 0.0105211i
\(241\) −4.62156 + 3.63444i −0.297701 + 0.234115i −0.755825 0.654774i \(-0.772764\pi\)
0.458124 + 0.888888i \(0.348522\pi\)
\(242\) −0.639746 + 0.503101i −0.0411244 + 0.0323406i
\(243\) 0.998867 0.0475819i 0.0640774 0.00305238i
\(244\) 1.85419 2.13985i 0.118703 0.136990i
\(245\) 3.04141 + 3.80035i 0.194309 + 0.242795i
\(246\) −16.0659 10.3249i −1.02432 0.658292i
\(247\) 8.69756 + 2.11001i 0.553412 + 0.134256i
\(248\) 14.4699 + 5.00809i 0.918841 + 0.318014i
\(249\) 9.05958 2.19783i 0.574127 0.139282i
\(250\) −10.8809 1.03900i −0.688171 0.0657123i
\(251\) 0.369382 2.56911i 0.0233152 0.162161i −0.974837 0.222917i \(-0.928442\pi\)
0.998153 + 0.0607562i \(0.0193512\pi\)
\(252\) −1.92631 + 0.0540705i −0.121346 + 0.00340612i
\(253\) −16.1802 1.59139i −1.01724 0.100050i
\(254\) −9.63880 + 16.6949i −0.604792 + 1.04753i
\(255\) −1.42824 3.56758i −0.0894401 0.223411i
\(256\) 8.95823 12.5801i 0.559889 0.786254i
\(257\) −9.72150 10.1956i −0.606411 0.635985i 0.346927 0.937892i \(-0.387225\pi\)
−0.953337 + 0.301907i \(0.902377\pi\)
\(258\) 7.78206 + 8.98097i 0.484490 + 0.559131i
\(259\) −21.9191 4.67045i −1.36199 0.290208i
\(260\) −0.437819 + 0.681259i −0.0271524 + 0.0422499i
\(261\) −1.42482 2.00088i −0.0881940 0.123851i
\(262\) 3.30012 17.1226i 0.203882 1.05784i
\(263\) 9.19810 17.8418i 0.567179 1.10017i −0.414574 0.910015i \(-0.636070\pi\)
0.981753 0.190158i \(-0.0609001\pi\)
\(264\) 6.61068 + 2.64652i 0.406859 + 0.162882i
\(265\) −6.72305 + 0.966629i −0.412994 + 0.0593796i
\(266\) 22.0484 + 10.5945i 1.35187 + 0.649593i
\(267\) 8.51274 + 7.37633i 0.520971 + 0.451424i
\(268\) 1.32186 0.941296i 0.0807457 0.0574988i
\(269\) 2.61281 + 0.124464i 0.159306 + 0.00758867i 0.127083 0.991892i \(-0.459438\pi\)
0.0322226 + 0.999481i \(0.489741\pi\)
\(270\) 0.792611 0.831266i 0.0482368 0.0505893i
\(271\) −1.57505 8.17213i −0.0956774 0.496421i −0.997878 0.0651055i \(-0.979262\pi\)
0.902201 0.431316i \(-0.141951\pi\)
\(272\) 26.1215 + 7.66997i 1.58385 + 0.465060i
\(273\) 2.35619 3.51344i 0.142603 0.212643i
\(274\) 8.20410 + 1.17957i 0.495628 + 0.0712605i
\(275\) 13.2599 + 7.65563i 0.799605 + 0.461652i
\(276\) −1.44206 3.18154i −0.0868019 0.191506i
\(277\) −3.91017 6.77261i −0.234939 0.406927i 0.724316 0.689468i \(-0.242156\pi\)
−0.959255 + 0.282542i \(0.908822\pi\)
\(278\) −17.0251 + 21.6492i −1.02110 + 1.29843i
\(279\) −6.63110 + 3.02832i −0.396993 + 0.181301i
\(280\) 2.72082 2.74411i 0.162600 0.163992i
\(281\) −12.8688 + 11.1509i −0.767689 + 0.665206i −0.947952 0.318412i \(-0.896850\pi\)
0.180264 + 0.983618i \(0.442305\pi\)
\(282\) −0.498995 + 2.05689i −0.0297147 + 0.122486i
\(283\) 0.738412 15.5012i 0.0438940 0.921449i −0.864320 0.502943i \(-0.832251\pi\)
0.908214 0.418507i \(-0.137446\pi\)
\(284\) 10.3566 0.988935i 0.614551 0.0586825i
\(285\) −3.67815 + 1.27302i −0.217875 + 0.0754072i
\(286\) 7.53212 4.84060i 0.445384 0.286231i
\(287\) 30.1443 5.20122i 1.77936 0.307019i
\(288\) 0.560162 + 3.89601i 0.0330079 + 0.229575i
\(289\) 0.644319 + 13.5259i 0.0379011 + 0.795643i
\(290\) −2.77032 0.533935i −0.162679 0.0313537i
\(291\) 0.565567 + 5.92288i 0.0331541 + 0.347206i
\(292\) −5.36434 10.4054i −0.313925 0.608929i
\(293\) −1.16020 + 0.340664i −0.0677794 + 0.0199018i −0.315446 0.948943i \(-0.602154\pi\)
0.247667 + 0.968845i \(0.420336\pi\)
\(294\) 8.29980 8.05003i 0.484054 0.469487i
\(295\) −1.69019 + 5.75625i −0.0984066 + 0.335142i
\(296\) −1.69126 + 17.7116i −0.0983022 + 1.02947i
\(297\) −3.14725 + 1.25997i −0.182622 + 0.0731109i
\(298\) −9.41318 + 5.43470i −0.545291 + 0.314824i
\(299\) 7.52545 + 1.47258i 0.435208 + 0.0851615i
\(300\) 3.28963i 0.189927i
\(301\) −18.9094 2.17919i −1.08992 0.125607i
\(302\) −1.65060 3.61431i −0.0949813 0.207980i
\(303\) −5.21070 + 4.96839i −0.299347 + 0.285427i
\(304\) 9.01859 26.0575i 0.517251 1.49450i
\(305\) −1.95636 1.86538i −0.112021 0.106812i
\(306\) −8.11364 + 4.18287i −0.463826 + 0.239119i
\(307\) 16.9880 + 7.75818i 0.969559 + 0.442783i 0.836284 0.548296i \(-0.184723\pi\)
0.133275 + 0.991079i \(0.457451\pi\)
\(308\) 6.11124 2.30909i 0.348220 0.131573i
\(309\) −6.11371 9.51312i −0.347797 0.541182i
\(310\) −3.11193 + 7.77322i −0.176746 + 0.441489i
\(311\) −12.4287 15.8043i −0.704765 0.896182i 0.293446 0.955976i \(-0.405198\pi\)
−0.998211 + 0.0597940i \(0.980956\pi\)
\(312\) −2.98514 1.53894i −0.169000 0.0871256i
\(313\) 10.7955 + 31.1915i 0.610197 + 1.76305i 0.645601 + 0.763675i \(0.276607\pi\)
−0.0354038 + 0.999373i \(0.511272\pi\)
\(314\) −3.66763 + 8.03099i −0.206976 + 0.453215i
\(315\) −0.0359423 + 1.83940i −0.00202512 + 0.103638i
\(316\) 2.43368 + 8.28836i 0.136905 + 0.466257i
\(317\) 21.4290 4.13009i 1.20357 0.231969i 0.452240 0.891896i \(-0.350625\pi\)
0.751330 + 0.659927i \(0.229413\pi\)
\(318\) 3.80381 + 15.6795i 0.213307 + 0.879263i
\(319\) 6.78315 + 4.83026i 0.379784 + 0.270443i
\(320\) −1.83158 1.44037i −0.102388 0.0805190i
\(321\) 8.61120 0.480630
\(322\) 19.2782 + 8.22295i 1.07433 + 0.458247i
\(323\) 30.9336 1.72119
\(324\) −0.572531 0.450243i −0.0318073 0.0250135i
\(325\) −5.88246 4.18888i −0.326300 0.232357i
\(326\) 3.36399 + 13.8666i 0.186314 + 0.767998i
\(327\) 13.6077 2.62266i 0.752506 0.145034i
\(328\) −6.84192 23.3015i −0.377782 1.28661i
\(329\) −1.63742 2.96856i −0.0902739 0.163662i
\(330\) −1.61754 + 3.54192i −0.0890426 + 0.194976i
\(331\) −10.0098 28.9215i −0.550189 1.58967i −0.786236 0.617926i \(-0.787973\pi\)
0.236047 0.971742i \(-0.424148\pi\)
\(332\) −6.03524 3.11138i −0.331227 0.170759i
\(333\) −5.23619 6.65835i −0.286941 0.364876i
\(334\) −1.72038 + 4.29729i −0.0941348 + 0.235137i
\(335\) −0.837582 1.30330i −0.0457620 0.0712071i
\(336\) −10.0857 8.25541i −0.550220 0.450370i
\(337\) 0.560647 + 0.256039i 0.0305404 + 0.0139473i 0.430627 0.902530i \(-0.358293\pi\)
−0.400086 + 0.916477i \(0.631020\pi\)
\(338\) 15.3326 7.90451i 0.833984 0.429948i
\(339\) −10.5374 10.0474i −0.572311 0.545698i
\(340\) −0.915459 + 2.64505i −0.0496477 + 0.143448i
\(341\) 17.8859 17.0541i 0.968574 0.923534i
\(342\) 3.84079 + 8.41015i 0.207686 + 0.454769i
\(343\) −1.08491 + 18.4885i −0.0585796 + 0.998283i
\(344\) 15.1116i 0.814760i
\(345\) −3.09946 + 1.23064i −0.166869 + 0.0662554i
\(346\) −8.42130 + 4.86204i −0.452732 + 0.261385i
\(347\) 21.9120 8.77226i 1.17630 0.470919i 0.300588 0.953754i \(-0.402817\pi\)
0.875712 + 0.482835i \(0.160393\pi\)
\(348\) −0.170065 + 1.78100i −0.00911645 + 0.0954718i
\(349\) 8.77613 29.8888i 0.469776 1.59991i −0.294923 0.955521i \(-0.595294\pi\)
0.764699 0.644388i \(-0.222888\pi\)
\(350\) −13.3390 14.5483i −0.712999 0.777640i
\(351\) 1.53416 0.450469i 0.0818873 0.0240443i
\(352\) −6.11442 11.8603i −0.325900 0.632157i
\(353\) 1.81092 + 18.9648i 0.0963857 + 1.00940i 0.906239 + 0.422765i \(0.138940\pi\)
−0.809854 + 0.586632i \(0.800454\pi\)
\(354\) 13.9933 + 2.69698i 0.743733 + 0.143343i
\(355\) −0.472599 9.92108i −0.0250830 0.526556i
\(356\) −1.16759 8.12074i −0.0618819 0.430398i
\(357\) 5.05126 13.7213i 0.267341 0.726207i
\(358\) 32.6985 21.0141i 1.72817 1.11063i
\(359\) 1.99668 0.691059i 0.105381 0.0364727i −0.273869 0.961767i \(-0.588303\pi\)
0.379250 + 0.925294i \(0.376182\pi\)
\(360\) 1.45396 0.138837i 0.0766307 0.00731734i
\(361\) 0.586734 12.3171i 0.0308807 0.648266i
\(362\) −10.1357 + 41.7799i −0.532720 + 2.19590i
\(363\) 0.372377 0.322666i 0.0195447 0.0169356i
\(364\) −2.97281 + 0.810159i −0.155818 + 0.0424639i
\(365\) −10.1664 + 4.64282i −0.532131 + 0.243016i
\(366\) −3.96926 + 5.04733i −0.207477 + 0.263828i
\(367\) −5.36040 9.28449i −0.279811 0.484646i 0.691527 0.722351i \(-0.256938\pi\)
−0.971338 + 0.237704i \(0.923605\pi\)
\(368\) 6.72033 22.6493i 0.350322 1.18068i
\(369\) 10.0128 + 5.78092i 0.521248 + 0.300942i
\(370\) −9.63015 1.38461i −0.500648 0.0719823i
\(371\) −21.4637 14.3940i −1.11434 0.747301i
\(372\) 5.09458 + 1.49590i 0.264142 + 0.0775590i
\(373\) −4.20466 21.8159i −0.217709 1.12958i −0.912095 0.409979i \(-0.865536\pi\)
0.694386 0.719603i \(-0.255676\pi\)
\(374\) 21.3553 22.3967i 1.10425 1.15811i
\(375\) 6.60989 + 0.314868i 0.341333 + 0.0162597i
\(376\) −2.19242 + 1.56121i −0.113065 + 0.0805134i
\(377\) −2.96821 2.57197i −0.152871 0.132463i
\(378\) 4.35768 0.330342i 0.224135 0.0169910i
\(379\) −23.2634 + 3.34477i −1.19496 + 0.171810i −0.710944 0.703249i \(-0.751732\pi\)
−0.484018 + 0.875058i \(0.660823\pi\)
\(380\) 2.63187 + 1.05364i 0.135012 + 0.0540507i
\(381\) 5.34789 10.3735i 0.273981 0.531448i
\(382\) −6.16711 + 31.9980i −0.315537 + 1.63716i
\(383\) 3.02237 + 4.24432i 0.154436 + 0.216875i 0.884544 0.466457i \(-0.154470\pi\)
−0.730108 + 0.683332i \(0.760530\pi\)
\(384\) −7.24843 + 11.2788i −0.369895 + 0.575568i
\(385\) −1.92436 5.93263i −0.0980747 0.302355i
\(386\) −1.96582 2.26868i −0.100058 0.115473i
\(387\) −4.96470 5.20683i −0.252370 0.264678i
\(388\) 2.51375 3.53007i 0.127616 0.179212i
\(389\) −6.20476 15.4987i −0.314594 0.785817i −0.998421 0.0561734i \(-0.982110\pi\)
0.683827 0.729644i \(-0.260314\pi\)
\(390\) 0.918247 1.59045i 0.0464972 0.0805356i
\(391\) 26.4772 1.18595i 1.33901 0.0599759i
\(392\) 14.6801 0.824776i 0.741456 0.0416575i
\(393\) −1.50241 + 10.4495i −0.0757868 + 0.527108i
\(394\) −13.9689 1.33387i −0.703744 0.0671994i
\(395\) 8.01442 1.94428i 0.403249 0.0978272i
\(396\) 2.33341 + 0.807601i 0.117258 + 0.0405835i
\(397\) 29.2196 + 7.08860i 1.46649 + 0.355767i 0.887970 0.459901i \(-0.152115\pi\)
0.578521 + 0.815668i \(0.303630\pi\)
\(398\) 7.58865 + 4.87693i 0.380385 + 0.244458i
\(399\) −13.6384 5.77163i −0.682773 0.288943i
\(400\) −14.5701 + 16.8148i −0.728503 + 0.840738i
\(401\) 12.3011 0.585975i 0.614289 0.0292622i 0.261868 0.965104i \(-0.415662\pi\)
0.352421 + 0.935842i \(0.385358\pi\)
\(402\) −2.89275 + 2.27488i −0.144277 + 0.113461i
\(403\) −9.16220 + 7.20523i −0.456402 + 0.358918i
\(404\) 5.23808 0.249521i 0.260604 0.0124141i
\(405\) −0.455365 + 0.525519i −0.0226272 + 0.0261132i
\(406\) −6.46961 8.56604i −0.321082 0.425126i
\(407\) 24.1576 + 15.5251i 1.19745 + 0.769552i
\(408\) −11.2808 2.73669i −0.558483 0.135487i
\(409\) −9.51105 3.29181i −0.470291 0.162769i 0.0816351 0.996662i \(-0.473986\pi\)
−0.551926 + 0.833893i \(0.686107\pi\)
\(410\) 12.9054 3.13080i 0.637350 0.154619i
\(411\) −4.99519 0.476983i −0.246395 0.0235278i
\(412\) −1.17218 + 8.15267i −0.0577490 + 0.401653i
\(413\) −19.4402 + 11.9634i −0.956589 + 0.588678i
\(414\) 3.60990 + 7.05131i 0.177417 + 0.346553i
\(415\) −3.24120 + 5.61393i −0.159104 + 0.275577i
\(416\) 2.33905 + 5.84267i 0.114682 + 0.286461i
\(417\) 9.67187 13.5822i 0.473633 0.665125i
\(418\) −21.6296 22.6845i −1.05794 1.10953i
\(419\) −3.75866 4.33773i −0.183623 0.211912i 0.656474 0.754349i \(-0.272047\pi\)
−0.840097 + 0.542437i \(0.817502\pi\)
\(420\) 0.897134 0.995371i 0.0437757 0.0485692i
\(421\) −5.80089 + 9.02637i −0.282718 + 0.439918i −0.953348 0.301874i \(-0.902388\pi\)
0.670629 + 0.741793i \(0.266024\pi\)
\(422\) −7.26010 10.1954i −0.353416 0.496304i
\(423\) 0.242502 1.25822i 0.0117909 0.0611768i
\(424\) −9.40144 + 18.2362i −0.456574 + 0.885630i
\(425\) −23.1720 9.27666i −1.12401 0.449984i
\(426\) −23.3533 + 3.35770i −1.13147 + 0.162681i
\(427\) −0.777448 10.2557i −0.0376234 0.496306i
\(428\) −4.74012 4.10733i −0.229122 0.198535i
\(429\) −4.41541 + 3.14420i −0.213178 + 0.151803i
\(430\) −8.25398 0.393186i −0.398042 0.0189611i
\(431\) −21.3872 + 22.4302i −1.03018 + 1.08042i −0.0334677 + 0.999440i \(0.510655\pi\)
−0.996715 + 0.0809851i \(0.974193\pi\)
\(432\) −0.932292 4.83719i −0.0448549 0.232729i
\(433\) −25.2340 7.40938i −1.21267 0.356072i −0.387986 0.921665i \(-0.626829\pi\)
−0.824684 + 0.565593i \(0.808647\pi\)
\(434\) −28.5964 + 14.0422i −1.37267 + 0.674049i
\(435\) 1.69066 + 0.243080i 0.0810608 + 0.0116548i
\(436\) −8.74142 5.04686i −0.418638 0.241701i
\(437\) 0.0762001 26.8441i 0.00364514 1.28413i
\(438\) 13.2743 + 22.9917i 0.634269 + 1.09859i
\(439\) 13.2588 16.8600i 0.632809 0.804682i −0.358874 0.933386i \(-0.616839\pi\)
0.991683 + 0.128704i \(0.0410817\pi\)
\(440\) −4.50404 + 2.05693i −0.214722 + 0.0980601i
\(441\) −4.78719 + 5.10713i −0.227962 + 0.243197i
\(442\) −11.0306 + 9.55810i −0.524674 + 0.454632i
\(443\) −6.86372 + 28.2927i −0.326105 + 1.34422i 0.538861 + 0.842395i \(0.318855\pi\)
−0.864966 + 0.501830i \(0.832660\pi\)
\(444\) −0.293565 + 6.16269i −0.0139320 + 0.292468i
\(445\) −7.79706 + 0.744529i −0.369616 + 0.0352941i
\(446\) 13.5922 4.70432i 0.643611 0.222756i
\(447\) 5.53581 3.55765i 0.261835 0.168271i
\(448\) −1.50745 8.73659i −0.0712202 0.412765i
\(449\) 2.75051 + 19.1302i 0.129804 + 0.902810i 0.945800 + 0.324751i \(0.105280\pi\)
−0.815995 + 0.578059i \(0.803810\pi\)
\(450\) −0.354971 7.45175i −0.0167335 0.351279i
\(451\) −38.4874 7.41783i −1.81230 0.349292i
\(452\) 1.00805 + 10.5567i 0.0474145 + 0.496547i
\(453\) 1.10227 + 2.13811i 0.0517892 + 0.100457i
\(454\) 14.4946 4.25599i 0.680264 0.199744i
\(455\) 0.637533 + 2.87171i 0.0298880 + 0.134628i
\(456\) −3.31237 + 11.2809i −0.155116 + 0.528276i
\(457\) −3.32491 + 34.8201i −0.155533 + 1.62881i 0.494690 + 0.869070i \(0.335282\pi\)
−0.650222 + 0.759744i \(0.725324\pi\)
\(458\) −8.52984 + 3.41483i −0.398573 + 0.159565i
\(459\) 4.78602 2.76321i 0.223392 0.128975i
\(460\) 2.29311 + 0.800949i 0.106917 + 0.0373445i
\(461\) 0.699240i 0.0325669i 0.999867 + 0.0162834i \(0.00518341\pi\)
−0.999867 + 0.0162834i \(0.994817\pi\)
\(462\) −13.5942 + 5.89005i −0.632458 + 0.274030i
\(463\) −8.29608 18.1659i −0.385551 0.844240i −0.998533 0.0541428i \(-0.982757\pi\)
0.612982 0.790097i \(-0.289970\pi\)
\(464\) −8.75751 + 8.35027i −0.406557 + 0.387651i
\(465\) 1.65794 4.79029i 0.0768850 0.222145i
\(466\) −12.3329 11.7594i −0.571312 0.544745i
\(467\) 6.25747 3.22595i 0.289561 0.149279i −0.307326 0.951604i \(-0.599434\pi\)
0.596887 + 0.802325i \(0.296404\pi\)
\(468\) −1.05935 0.483791i −0.0489686 0.0223632i
\(469\) 0.952723 5.81714i 0.0439927 0.268610i
\(470\) −0.795696 1.23813i −0.0367027 0.0571106i
\(471\) 1.98656 4.96218i 0.0915357 0.228645i
\(472\) 11.2022 + 14.2447i 0.515622 + 0.655667i
\(473\) 21.6784 + 11.1760i 0.996774 + 0.513873i
\(474\) −6.40720 18.5124i −0.294293 0.850303i
\(475\) −10.5019 + 22.9960i −0.481861 + 1.05513i
\(476\) −9.32523 + 5.14368i −0.427421 + 0.235760i
\(477\) −2.75192 9.37220i −0.126002 0.429123i
\(478\) 19.1040 3.68199i 0.873795 0.168410i
\(479\) 2.51891 + 10.3831i 0.115092 + 0.474416i 0.999963 + 0.00857981i \(0.00273107\pi\)
−0.884871 + 0.465836i \(0.845754\pi\)
\(480\) −2.22949 1.58761i −0.101762 0.0724642i
\(481\) −10.6462 8.37227i −0.485425 0.381743i
\(482\) −9.71154 −0.442348
\(483\) −11.8949 4.41727i −0.541235 0.200993i
\(484\) −0.358882 −0.0163128
\(485\) −3.25212 2.55749i −0.147671 0.116130i
\(486\) 1.34550 + 0.958124i 0.0610330 + 0.0434614i
\(487\) −3.06632 12.6395i −0.138948 0.572752i −0.998133 0.0610856i \(-0.980544\pi\)
0.859185 0.511666i \(-0.170971\pi\)
\(488\) −8.01777 + 1.54530i −0.362947 + 0.0699523i
\(489\) −2.43373 8.28853i −0.110057 0.374820i
\(490\) 0.0685362 + 8.03977i 0.00309615 + 0.363200i
\(491\) 4.17063 9.13241i 0.188218 0.412140i −0.791874 0.610685i \(-0.790894\pi\)
0.980092 + 0.198545i \(0.0636215\pi\)
\(492\) −2.75430 7.95804i −0.124174 0.358776i
\(493\) −12.0657 6.22031i −0.543413 0.280149i
\(494\) 9.13832 + 11.6203i 0.411153 + 0.522823i
\(495\) 0.876134 2.18848i 0.0393793 0.0983647i
\(496\) 19.4152 + 30.2106i 0.871768 + 1.35650i
\(497\) 23.9368 29.2438i 1.07371 1.31176i
\(498\) 14.0069 + 6.39675i 0.627665 + 0.286645i
\(499\) 10.9661 5.65341i 0.490910 0.253081i −0.194953 0.980813i \(-0.562455\pi\)
0.685863 + 0.727731i \(0.259425\pi\)
\(500\) −3.48829 3.32608i −0.156001 0.148747i
\(501\) 0.916562 2.64823i 0.0409490 0.118314i
\(502\) 3.10281 2.95853i 0.138485 0.132045i
\(503\) −3.45735 7.57055i −0.154156 0.337554i 0.816759 0.576979i \(-0.195768\pi\)
−0.970915 + 0.239425i \(0.923041\pi\)
\(504\) 4.46300 + 3.31137i 0.198798 + 0.147500i
\(505\) 5.00642i 0.222783i
\(506\) −19.3832 18.5872i −0.861691 0.826303i
\(507\) −9.04428 + 5.22172i −0.401671 + 0.231905i
\(508\) −7.89168 + 3.15935i −0.350137 + 0.140174i
\(509\) −0.509637 + 5.33716i −0.0225893 + 0.236566i 0.977125 + 0.212665i \(0.0682144\pi\)
−0.999714 + 0.0239001i \(0.992392\pi\)
\(510\) 1.78831 6.09041i 0.0791875 0.269688i
\(511\) −40.5600 12.7753i −1.79427 0.565148i
\(512\) −1.25184 + 0.367572i −0.0553239 + 0.0162446i
\(513\) −2.56488 4.97518i −0.113242 0.219659i
\(514\) −2.21190 23.1640i −0.0975627 1.02172i
\(515\) 7.72123 + 1.48814i 0.340238 + 0.0655755i
\(516\) 0.249335 + 5.23419i 0.0109764 + 0.230422i
\(517\) 0.618214 + 4.29977i 0.0271890 + 0.189104i
\(518\) −23.6906 28.4447i −1.04090 1.24979i
\(519\) 4.95250 3.18278i 0.217391 0.139708i
\(520\) 2.20691 0.763820i 0.0967795 0.0334957i
\(521\) −12.9373 + 1.23537i −0.566795 + 0.0541224i −0.374520 0.927219i \(-0.622193\pi\)
−0.192275 + 0.981341i \(0.561587\pi\)
\(522\) 0.193055 4.05273i 0.00844979 0.177383i
\(523\) −2.69993 + 11.1293i −0.118060 + 0.486649i 0.881827 + 0.471574i \(0.156314\pi\)
−0.999886 + 0.0150753i \(0.995201\pi\)
\(524\) 5.81118 5.03542i 0.253863 0.219973i
\(525\) 8.48548 + 8.41346i 0.370337 + 0.367193i
\(526\) 30.1602 13.7737i 1.31505 0.600562i
\(527\) −24.9037 + 31.6676i −1.08482 + 1.37946i
\(528\) 8.35016 + 14.4629i 0.363394 + 0.629417i
\(529\) −0.963939 22.9798i −0.0419104 0.999121i
\(530\) −9.71609 5.60959i −0.422040 0.243665i
\(531\) −8.53974 1.22783i −0.370593 0.0532832i
\(532\) 4.75444 + 9.68222i 0.206131 + 0.419778i
\(533\) 17.7377 + 5.20825i 0.768304 + 0.225594i
\(534\) 3.52112 + 18.2693i 0.152374 + 0.790591i
\(535\) −4.13212 + 4.33364i −0.178647 + 0.187360i
\(536\) −4.67445 0.222672i −0.201906 0.00961795i
\(537\) −19.1682 + 13.6496i −0.827170 + 0.589025i
\(538\) 3.26534 + 2.82944i 0.140779 + 0.121986i
\(539\) 9.67370 21.6694i 0.416676 0.933367i
\(540\) 0.501319 0.0720788i 0.0215733 0.00310178i
\(541\) 1.34022 + 0.536543i 0.0576205 + 0.0230678i 0.400294 0.916387i \(-0.368908\pi\)
−0.342673 + 0.939455i \(0.611332\pi\)
\(542\) 6.29921 12.2188i 0.270574 0.524841i
\(543\) 4.92575 25.5572i 0.211384 1.09677i
\(544\) 12.6176 + 17.7190i 0.540976 + 0.759695i
\(545\) −5.20982 + 8.10664i −0.223164 + 0.347250i
\(546\) 6.64668 2.15598i 0.284452 0.0922674i
\(547\) −3.81497 4.40271i −0.163116 0.188246i 0.668307 0.743885i \(-0.267019\pi\)
−0.831424 + 0.555639i \(0.812474\pi\)
\(548\) 2.52214 + 2.64514i 0.107740 + 0.112995i
\(549\) 2.25491 3.16658i 0.0962373 0.135146i
\(550\) 9.39963 + 23.4791i 0.400801 + 1.00115i
\(551\) −6.87457 + 11.9071i −0.292867 + 0.507260i
\(552\) −2.40269 + 9.78272i −0.102265 + 0.416380i
\(553\) 27.6039 + 14.9205i 1.17384 + 0.634483i
\(554\) 1.83834 12.7860i 0.0781038 0.543224i
\(555\) 5.86346 + 0.559893i 0.248890 + 0.0237661i
\(556\) −11.8024 + 2.86322i −0.500532 + 0.121428i
\(557\) −9.85127 3.40956i −0.417412 0.144468i 0.110286 0.993900i \(-0.464823\pi\)
−0.527698 + 0.849432i \(0.676945\pi\)
\(558\) −11.7018 2.83883i −0.495377 0.120177i
\(559\) −9.67720 6.21916i −0.409302 0.263042i
\(560\) 8.99425 1.11430i 0.380076 0.0470877i
\(561\) −12.2689 + 14.1590i −0.517991 + 0.597794i
\(562\) −28.0944 + 1.33830i −1.18509 + 0.0564528i
\(563\) −2.30333 + 1.81136i −0.0970736 + 0.0763395i −0.665516 0.746383i \(-0.731789\pi\)
0.568443 + 0.822723i \(0.307546\pi\)
\(564\) −0.733629 + 0.576932i −0.0308913 + 0.0242932i
\(565\) 10.1128 0.481732i 0.425448 0.0202666i
\(566\) 16.7864 19.3725i 0.705584 0.814287i
\(567\) −2.62568 + 0.325295i −0.110268 + 0.0136611i
\(568\) −25.2396 16.2205i −1.05903 0.680597i
\(569\) −40.8981 9.92178i −1.71454 0.415943i −0.746228 0.665691i \(-0.768137\pi\)
−0.968311 + 0.249748i \(0.919652\pi\)
\(570\) −6.07548 2.10274i −0.254474 0.0880743i
\(571\) 0.295696 0.0717351i 0.0123745 0.00300202i −0.229567 0.973293i \(-0.573731\pi\)
0.241941 + 0.970291i \(0.422216\pi\)
\(572\) 3.93021 + 0.375290i 0.164330 + 0.0156916i
\(573\) 2.80765 19.5276i 0.117291 0.815778i
\(574\) 44.4496 + 24.0260i 1.85529 + 1.00282i
\(575\) −8.10735 + 20.0857i −0.338100 + 0.837633i
\(576\) 1.67546 2.90198i 0.0698107 0.120916i
\(577\) −11.0465 27.5929i −0.459873 1.14871i −0.959310 0.282357i \(-0.908884\pi\)
0.499437 0.866350i \(-0.333540\pi\)
\(578\) −12.9742 + 18.2197i −0.539656 + 0.757840i
\(579\) 1.25413 + 1.31530i 0.0521200 + 0.0546619i
\(580\) −0.814695 0.940208i −0.0338284 0.0390400i
\(581\) −23.4613 + 7.61012i −0.973337 + 0.315721i
\(582\) −5.31330 + 8.26765i −0.220243 + 0.342705i
\(583\) 19.2080 + 26.9738i 0.795513 + 1.11714i
\(584\) −6.38914 + 33.1500i −0.264385 + 1.37176i
\(585\) −0.509470 + 0.988234i −0.0210640 + 0.0408584i
\(586\) −1.85422 0.742317i −0.0765970 0.0306648i
\(587\) 13.4562 1.93471i 0.555398 0.0798541i 0.141100 0.989995i \(-0.454936\pi\)
0.414298 + 0.910141i \(0.364027\pi\)
\(588\) 5.07113 0.527894i 0.209130 0.0217700i
\(589\) 30.8379 + 26.7212i 1.27065 + 1.10103i
\(590\) −8.07199 + 5.74804i −0.332319 + 0.236643i
\(591\) 8.48576 + 0.404227i 0.349058 + 0.0166277i
\(592\) −28.7957 + 30.2000i −1.18349 + 1.24121i
\(593\) −0.874793 4.53886i −0.0359235 0.186389i 0.959534 0.281591i \(-0.0908622\pi\)
−0.995458 + 0.0952027i \(0.969650\pi\)
\(594\) −5.37284 1.57761i −0.220450 0.0647301i
\(595\) 4.48146 + 9.12629i 0.183722 + 0.374141i
\(596\) −4.74415 0.682106i −0.194328 0.0279402i
\(597\) −4.72952 2.73059i −0.193567 0.111756i
\(598\) 8.26733 + 9.59591i 0.338076 + 0.392406i
\(599\) −16.8094 29.1147i −0.686812 1.18959i −0.972864 0.231378i \(-0.925676\pi\)
0.286052 0.958214i \(-0.407657\pi\)
\(600\) 5.86427 7.45703i 0.239408 0.304432i
\(601\) 44.3620 20.2595i 1.80957 0.826401i 0.861946 0.507000i \(-0.169246\pi\)
0.947620 0.319401i \(-0.103482\pi\)
\(602\) −22.3266 22.1371i −0.909965 0.902240i
\(603\) 1.68378 1.45901i 0.0685690 0.0594153i
\(604\) 0.413070 1.70270i 0.0168076 0.0692818i
\(605\) −0.0163026 + 0.342233i −0.000662794 + 0.0139138i
\(606\) −11.8385 + 1.13044i −0.480907 + 0.0459210i
\(607\) −10.2957 + 3.56339i −0.417891 + 0.144634i −0.527919 0.849295i \(-0.677027\pi\)
0.110027 + 0.993929i \(0.464906\pi\)
\(608\) 18.5344 11.9113i 0.751668 0.483067i
\(609\) 4.15909 + 4.99372i 0.168535 + 0.202356i
\(610\) −0.635434 4.41954i −0.0257280 0.178942i
\(611\) −0.0974871 2.04651i −0.00394391 0.0827928i
\(612\) −3.95249 0.761780i −0.159770 0.0307931i
\(613\) −1.72763 18.0926i −0.0697784 0.730753i −0.960883 0.276955i \(-0.910675\pi\)
0.891105 0.453798i \(-0.149931\pi\)
\(614\) 14.1354 + 27.4189i 0.570459 + 1.10654i
\(615\) −7.71398 + 2.26503i −0.311058 + 0.0913348i
\(616\) −17.9695 5.65991i −0.724010 0.228044i
\(617\) 2.77649 9.45587i 0.111777 0.380679i −0.884535 0.466473i \(-0.845524\pi\)
0.996313 + 0.0857940i \(0.0273427\pi\)
\(618\) 1.77552 18.5941i 0.0714221 0.747966i
\(619\) 16.1989 6.48506i 0.651088 0.260656i −0.0225184 0.999746i \(-0.507168\pi\)
0.673607 + 0.739090i \(0.264744\pi\)
\(620\) −3.19748 + 1.84607i −0.128414 + 0.0741398i
\(621\) −2.38612 4.16010i −0.0957516 0.166939i
\(622\) 33.2105i 1.33162i
\(623\) −23.9334 17.7576i −0.958870 0.711444i
\(624\) −3.27208 7.16485i −0.130988 0.286823i
\(625\) 13.0134 12.4082i 0.520535 0.496330i
\(626\) −17.8317 + 51.5214i −0.712699 + 2.05921i
\(627\) 13.7334 + 13.0948i 0.548459 + 0.522954i
\(628\) −3.46036 + 1.78394i −0.138083 + 0.0711869i
\(629\) −42.5818 19.4465i −1.69785 0.775381i
\(630\) −1.92481 + 2.35155i −0.0766861 + 0.0936879i
\(631\) 9.84470 + 15.3187i 0.391911 + 0.609826i 0.980006 0.198966i \(-0.0637583\pi\)
−0.588095 + 0.808792i \(0.700122\pi\)
\(632\) 9.25855 23.1267i 0.368285 0.919932i
\(633\) 4.68405 + 5.95625i 0.186174 + 0.236740i
\(634\) 32.0401 + 16.5178i 1.27247 + 0.656006i
\(635\) 2.65430 + 7.66910i 0.105333 + 0.304339i
\(636\) −2.95549 + 6.47161i −0.117193 + 0.256616i
\(637\) −5.51341 + 9.74032i −0.218449 + 0.385926i
\(638\) 3.87515 + 13.1975i 0.153418 + 0.522495i
\(639\) 14.0256 2.70321i 0.554843 0.106937i
\(640\) −2.19793 9.05998i −0.0868807 0.358127i
\(641\) −10.4020 7.40726i −0.410856 0.292569i 0.355880 0.934532i \(-0.384181\pi\)
−0.766736 + 0.641962i \(0.778121\pi\)
\(642\) 11.1806 + 8.79255i 0.441265 + 0.347014i
\(643\) 7.71348 0.304190 0.152095 0.988366i \(-0.451398\pi\)
0.152095 + 0.988366i \(0.451398\pi\)
\(644\) 4.44070 + 8.10509i 0.174988 + 0.319385i
\(645\) 5.00270 0.196981
\(646\) 40.1637 + 31.5851i 1.58022 + 1.24270i
\(647\) 25.5039 + 18.1612i 1.00266 + 0.713991i 0.958517 0.285034i \(-0.0920049\pi\)
0.0441431 + 0.999025i \(0.485944\pi\)
\(648\) 0.495202 + 2.04125i 0.0194534 + 0.0801879i
\(649\) 28.7197 5.53526i 1.12735 0.217278i
\(650\) −3.36059 11.4451i −0.131813 0.448914i
\(651\) 16.8884 9.31543i 0.661909 0.365100i
\(652\) −2.61376 + 5.72333i −0.102363 + 0.224143i
\(653\) −4.21003 12.1641i −0.164751 0.476017i 0.832162 0.554533i \(-0.187103\pi\)
−0.996913 + 0.0785160i \(0.974982\pi\)
\(654\) 20.3459 + 10.4890i 0.795586 + 0.410153i
\(655\) −4.53785 5.77034i −0.177308 0.225466i
\(656\) 21.1684 52.8762i 0.826488 2.06447i
\(657\) −8.68957 13.5212i −0.339012 0.527513i
\(658\) 0.905079 5.52623i 0.0352837 0.215435i
\(659\) 7.47453 + 3.41351i 0.291167 + 0.132971i 0.555643 0.831421i \(-0.312472\pi\)
−0.264477 + 0.964392i \(0.585199\pi\)
\(660\) −1.52613 + 0.786772i −0.0594044 + 0.0306251i
\(661\) 25.3700 + 24.1903i 0.986779 + 0.940892i 0.998256 0.0590419i \(-0.0188046\pi\)
−0.0114762 + 0.999934i \(0.503653\pi\)
\(662\) 16.5340 47.7718i 0.642611 1.85670i
\(663\) 6.39515 6.09776i 0.248367 0.236817i
\(664\) 8.13435 + 17.8117i 0.315674 + 0.691229i
\(665\) 9.44904 4.09406i 0.366418 0.158761i
\(666\) 13.9916i 0.542162i
\(667\) −5.42770 + 10.4553i −0.210161 + 0.404830i
\(668\) −1.76767 + 1.02057i −0.0683933 + 0.0394869i
\(669\) −8.08402 + 3.23636i −0.312546 + 0.125125i
\(670\) 0.243248 2.54741i 0.00939749 0.0984150i
\(671\) −3.71285 + 12.6448i −0.143333 + 0.488147i
\(672\) −2.25698 10.1664i −0.0870649 0.392176i
\(673\) 2.72905 0.801320i 0.105197 0.0308886i −0.228710 0.973494i \(-0.573451\pi\)
0.333907 + 0.942606i \(0.391633\pi\)
\(674\) 0.466503 + 0.904890i 0.0179690 + 0.0348551i
\(675\) 0.429318 + 4.49602i 0.0165245 + 0.173052i
\(676\) 7.46914 + 1.43956i 0.287275 + 0.0553677i
\(677\) 0.965231 + 20.2627i 0.0370969 + 0.778759i 0.938396 + 0.345562i \(0.112312\pi\)
−0.901299 + 0.433197i \(0.857385\pi\)
\(678\) −3.42258 23.8046i −0.131444 0.914210i
\(679\) −2.67660 15.5125i −0.102718 0.595316i
\(680\) 6.79040 4.36392i 0.260400 0.167349i
\(681\) −8.64261 + 2.99124i −0.331186 + 0.114624i
\(682\) 40.6360 3.88027i 1.55603 0.148583i
\(683\) −1.42507 + 29.9160i −0.0545289 + 1.14470i 0.791362 + 0.611348i \(0.209372\pi\)
−0.845891 + 0.533356i \(0.820931\pi\)
\(684\) −0.961175 + 3.96202i −0.0367515 + 0.151492i
\(685\) 2.63701 2.28498i 0.100755 0.0873046i
\(686\) −20.2864 + 22.8973i −0.774540 + 0.874225i
\(687\) 5.05983 2.31075i 0.193044 0.0881604i
\(688\) −21.9083 + 27.8586i −0.835245 + 1.06210i
\(689\) −7.80904 13.5257i −0.297501 0.515286i
\(690\) −5.28084 1.56689i −0.201038 0.0596505i
\(691\) 28.2032 + 16.2831i 1.07290 + 0.619440i 0.928973 0.370148i \(-0.120693\pi\)
0.143929 + 0.989588i \(0.454026\pi\)
\(692\) −4.24426 0.610232i −0.161342 0.0231975i
\(693\) 8.05104 3.95346i 0.305834 0.150179i
\(694\) 37.4072 + 10.9837i 1.41996 + 0.416937i
\(695\) 2.19426 + 11.3849i 0.0832331 + 0.431855i
\(696\) 3.56042 3.73407i 0.134958 0.141539i
\(697\) 63.8231 + 3.04027i 2.41747 + 0.115158i
\(698\) 41.9130 29.8461i 1.58643 1.12969i
\(699\) 7.79676 + 6.75593i 0.294901 + 0.255533i
\(700\) −0.657899 8.67863i −0.0248663 0.328022i
\(701\) 18.2985 2.63092i 0.691123 0.0993685i 0.212201 0.977226i \(-0.431937\pi\)
0.478922 + 0.877858i \(0.341028\pi\)
\(702\) 2.45188 + 0.981585i 0.0925402 + 0.0370475i
\(703\) −21.7261 + 42.1428i −0.819417 + 1.58945i
\(704\) −2.14988 + 11.1546i −0.0810265 + 0.420405i
\(705\) 0.516842 + 0.725803i 0.0194654 + 0.0273353i
\(706\) −17.0130 + 26.4727i −0.640291 + 0.996313i
\(707\) 12.7531 14.1496i 0.479631 0.532151i
\(708\) 4.11513 + 4.74912i 0.154656 + 0.178483i
\(709\) −19.2895 20.2302i −0.724431 0.759761i 0.253805 0.967255i \(-0.418318\pi\)
−0.978236 + 0.207494i \(0.933469\pi\)
\(710\) 9.51640 13.3639i 0.357144 0.501539i
\(711\) 4.40786 + 11.0103i 0.165308 + 0.412919i
\(712\) −11.8298 + 20.4898i −0.443339 + 0.767886i
\(713\) 27.4197 + 21.6894i 1.02688 + 0.812273i
\(714\) 20.5687 12.6578i 0.769765 0.473708i
\(715\) 0.536414 3.73084i 0.0200607 0.139526i
\(716\) 17.0619 + 1.62921i 0.637632 + 0.0608865i
\(717\) −11.4466 + 2.77690i −0.427479 + 0.103705i
\(718\) 3.29807 + 1.14147i 0.123083 + 0.0425994i
\(719\) −32.1313 7.79498i −1.19830 0.290704i −0.413528 0.910492i \(-0.635703\pi\)
−0.784769 + 0.619788i \(0.787219\pi\)
\(720\) 2.88171 + 1.85196i 0.107395 + 0.0690186i
\(721\) 18.0316 + 23.8746i 0.671533 + 0.889138i
\(722\) 13.3383 15.3932i 0.496398 0.572874i
\(723\) 5.87280 0.279756i 0.218412 0.0104042i
\(724\) −14.9016 + 11.7188i −0.553814 + 0.435524i
\(725\) 8.72047 6.85785i 0.323870 0.254694i
\(726\) 0.812949 0.0387255i 0.0301714 0.00143724i
\(727\) 16.1091 18.5909i 0.597454 0.689498i −0.373810 0.927505i \(-0.621949\pi\)
0.971263 + 0.238007i \(0.0764941\pi\)
\(728\) 8.18311 + 3.46301i 0.303286 + 0.128348i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) −17.9404 4.35230i −0.664005 0.161086i
\(731\) −37.5725 13.0040i −1.38967 0.480969i
\(732\) −2.75162 + 0.667535i −0.101703 + 0.0246728i
\(733\) 9.14537 + 0.873277i 0.337792 + 0.0322552i 0.262574 0.964912i \(-0.415429\pi\)
0.0752180 + 0.997167i \(0.476035\pi\)
\(734\) 2.52016 17.5281i 0.0930209 0.646974i
\(735\) −0.273043 4.85986i −0.0100714 0.179259i
\(736\) 15.4076 10.9059i 0.567931 0.401997i
\(737\) −3.77650 + 6.54109i −0.139109 + 0.240944i
\(738\) 7.09784 + 17.7296i 0.261275 + 0.652634i
\(739\) −9.15502 + 12.8564i −0.336773 + 0.472931i −0.947885 0.318613i \(-0.896783\pi\)
0.611112 + 0.791544i \(0.290722\pi\)
\(740\) −2.96054 3.10493i −0.108832 0.114139i
\(741\) −5.86090 6.76384i −0.215306 0.248476i
\(742\) −13.1709 40.6047i −0.483520 1.49064i
\(743\) 27.3801 42.6043i 1.00448 1.56300i 0.190845 0.981620i \(-0.438877\pi\)
0.813633 0.581379i \(-0.197487\pi\)
\(744\) −8.88188 12.4729i −0.325625 0.457277i
\(745\) −0.865971 + 4.49309i −0.0317267 + 0.164614i
\(746\) 16.8160 32.6186i 0.615679 1.19425i
\(747\) −8.65458 3.46477i −0.316655 0.126769i
\(748\) 13.5070 1.94201i 0.493865 0.0710071i
\(749\) −22.7179 + 1.72217i −0.830095 + 0.0629268i
\(750\) 8.26067 + 7.15791i 0.301637 + 0.261370i
\(751\) 26.2388 18.6846i 0.957469 0.681811i 0.00942686 0.999956i \(-0.496999\pi\)
0.948042 + 0.318145i \(0.103060\pi\)
\(752\) −6.30519 0.300353i −0.229927 0.0109528i
\(753\) −1.79112 + 1.87847i −0.0652720 + 0.0684553i
\(754\) −1.22774 6.37012i −0.0447116 0.231986i
\(755\) −1.60495 0.471255i −0.0584100 0.0171507i
\(756\) 1.60049 + 1.07332i 0.0582091 + 0.0390364i
\(757\) 31.4154 + 4.51686i 1.14181 + 0.164168i 0.687164 0.726502i \(-0.258855\pi\)
0.454650 + 0.890670i \(0.349764\pi\)
\(758\) −33.6200 19.4105i −1.22113 0.705023i
\(759\) 12.2569 + 10.6818i 0.444899 + 0.387724i
\(760\) −4.08773 7.08015i −0.148278 0.256824i
\(761\) −5.01881 + 6.38193i −0.181932 + 0.231345i −0.868461 0.495757i \(-0.834891\pi\)
0.686530 + 0.727102i \(0.259133\pi\)
\(762\) 17.5355 8.00821i 0.635245 0.290107i
\(763\) −35.3750 + 9.64049i −1.28066 + 0.349009i
\(764\) −10.8597 + 9.40997i −0.392890 + 0.340441i
\(765\) −0.905987 + 3.73453i −0.0327560 + 0.135022i
\(766\) −0.409515 + 8.59678i −0.0147964 + 0.310614i
\(767\) −13.7323 + 1.31128i −0.495846 + 0.0473476i
\(768\) −14.5943 + 5.05114i −0.526627 + 0.182267i
\(769\) 10.5028 6.74977i 0.378742 0.243403i −0.337394 0.941364i \(-0.609545\pi\)
0.716136 + 0.697961i \(0.245909\pi\)
\(770\) 3.55901 9.66772i 0.128258 0.348400i
\(771\) 2.00486 + 13.9441i 0.0722034 + 0.502185i
\(772\) −0.0629845 1.32221i −0.00226686 0.0475873i
\(773\) −12.5200 2.41303i