Properties

Label 230.2.j.a.9.11
Level $230$
Weight $2$
Character 230.9
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 9.11
Character \(\chi\) \(=\) 230.9
Dual form 230.2.j.a.179.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.281733 + 0.959493i) q^{2} +(1.62154 - 1.40507i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-1.50506 + 1.65372i) q^{5} +(1.80499 + 1.16000i) q^{6} +(4.06165 + 1.85489i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.228216 - 1.58728i) q^{9} +O(q^{10})\) \(q+(0.281733 + 0.959493i) q^{2} +(1.62154 - 1.40507i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-1.50506 + 1.65372i) q^{5} +(1.80499 + 1.16000i) q^{6} +(4.06165 + 1.85489i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(0.228216 - 1.58728i) q^{9} +(-2.01076 - 0.978188i) q^{10} +(-2.71299 - 0.796606i) q^{11} +(-0.604486 + 2.05869i) q^{12} +(4.55837 - 2.08174i) q^{13} +(-0.635457 + 4.41970i) q^{14} +(-0.116917 + 4.79628i) q^{15} +(0.415415 - 0.909632i) q^{16} +(0.557281 - 0.867146i) q^{17} +(1.58728 - 0.228216i) q^{18} +(-2.21722 + 1.42492i) q^{19} +(0.372068 - 2.20490i) q^{20} +(9.19236 - 2.69912i) q^{21} -2.82752i q^{22} +(-2.84316 - 3.86218i) q^{23} -2.14560 q^{24} +(-0.469587 - 4.97790i) q^{25} +(3.28165 + 3.78723i) q^{26} +(1.61982 + 2.52049i) q^{27} +(-4.41970 + 0.635457i) q^{28} +(-6.14851 - 3.95141i) q^{29} +(-4.63494 + 1.23909i) q^{30} +(-1.21119 + 1.39778i) q^{31} +(0.989821 + 0.142315i) q^{32} +(-5.51850 + 2.52021i) q^{33} +(0.989025 + 0.290404i) q^{34} +(-9.18049 + 3.92511i) q^{35} +(0.666161 + 1.45869i) q^{36} +(-5.30635 - 0.762938i) q^{37} +(-1.99187 - 1.72596i) q^{38} +(4.46657 - 9.78043i) q^{39} +(2.22041 - 0.264194i) q^{40} +(0.379411 + 2.63886i) q^{41} +(5.17957 + 8.05957i) q^{42} +(-7.97658 + 6.91175i) q^{43} +(2.71299 - 0.796606i) q^{44} +(2.28144 + 2.76636i) q^{45} +(2.90473 - 3.81609i) q^{46} -9.52621i q^{47} +(-0.604486 - 2.05869i) q^{48} +(8.47232 + 9.77757i) q^{49} +(4.64396 - 1.85300i) q^{50} +(-0.314749 - 2.18913i) q^{51} +(-2.70927 + 4.21571i) q^{52} +(6.13122 + 2.80004i) q^{53} +(-1.96204 + 2.26431i) q^{54} +(5.40058 - 3.28759i) q^{55} +(-1.85489 - 4.06165i) q^{56} +(-1.59319 + 5.42592i) q^{57} +(2.05911 - 7.01270i) q^{58} +(-3.67827 - 8.05429i) q^{59} +(-2.49471 - 4.09810i) q^{60} +(0.962688 - 1.11100i) q^{61} +(-1.68239 - 0.768323i) q^{62} +(3.87117 - 6.02365i) q^{63} +(0.142315 + 0.989821i) q^{64} +(-3.41800 + 10.6714i) q^{65} +(-3.97287 - 4.58494i) q^{66} +(-3.95010 - 13.4528i) q^{67} +1.03078i q^{68} +(-10.0369 - 2.26784i) q^{69} +(-6.35256 - 7.70279i) q^{70} +(5.75091 - 1.68862i) q^{71} +(-1.21192 + 1.05014i) q^{72} +(0.315595 + 0.491075i) q^{73} +(-0.762938 - 5.30635i) q^{74} +(-7.75575 - 7.41205i) q^{75} +(1.09488 - 2.39744i) q^{76} +(-9.54159 - 8.26783i) q^{77} +(10.6426 + 1.53018i) q^{78} +(4.90969 + 10.7507i) q^{79} +(0.879053 + 2.05603i) q^{80} +(10.7840 + 3.16647i) q^{81} +(-2.42508 + 1.10750i) q^{82} +(8.64400 + 1.24282i) q^{83} +(-6.27385 + 7.24041i) q^{84} +(0.595276 + 2.22669i) q^{85} +(-8.87904 - 5.70621i) q^{86} +(-15.5221 + 2.23173i) q^{87} +(1.52868 + 2.37867i) q^{88} +(0.803321 + 0.927082i) q^{89} +(-2.01155 + 2.96840i) q^{90} +22.3759 q^{91} +(4.47987 + 1.71195i) q^{92} +3.96836i q^{93} +(9.14033 - 2.68384i) q^{94} +(0.980629 - 5.81126i) q^{95} +(1.80499 - 1.16000i) q^{96} +(5.00839 - 0.720098i) q^{97} +(-6.99459 + 10.8838i) q^{98} +(-1.88359 + 4.12448i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.281733 + 0.959493i 0.199215 + 0.678464i
\(3\) 1.62154 1.40507i 0.936195 0.811217i −0.0460273 0.998940i \(-0.514656\pi\)
0.982222 + 0.187723i \(0.0601107\pi\)
\(4\) −0.841254 + 0.540641i −0.420627 + 0.270320i
\(5\) −1.50506 + 1.65372i −0.673083 + 0.739567i
\(6\) 1.80499 + 1.16000i 0.736886 + 0.473568i
\(7\) 4.06165 + 1.85489i 1.53516 + 0.701083i 0.990492 0.137570i \(-0.0439293\pi\)
0.544666 + 0.838653i \(0.316657\pi\)
\(8\) −0.755750 0.654861i −0.267198 0.231528i
\(9\) 0.228216 1.58728i 0.0760722 0.529093i
\(10\) −2.01076 0.978188i −0.635858 0.309330i
\(11\) −2.71299 0.796606i −0.817997 0.240186i −0.154144 0.988048i \(-0.549262\pi\)
−0.663853 + 0.747863i \(0.731080\pi\)
\(12\) −0.604486 + 2.05869i −0.174500 + 0.594292i
\(13\) 4.55837 2.08174i 1.26426 0.577370i 0.333417 0.942780i \(-0.391798\pi\)
0.930847 + 0.365410i \(0.119071\pi\)
\(14\) −0.635457 + 4.41970i −0.169833 + 1.18122i
\(15\) −0.116917 + 4.79628i −0.0301879 + 1.23840i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) 0.557281 0.867146i 0.135160 0.210314i −0.767075 0.641557i \(-0.778289\pi\)
0.902236 + 0.431244i \(0.141925\pi\)
\(18\) 1.58728 0.228216i 0.374126 0.0537911i
\(19\) −2.21722 + 1.42492i −0.508666 + 0.326900i −0.769674 0.638437i \(-0.779581\pi\)
0.261008 + 0.965337i \(0.415945\pi\)
\(20\) 0.372068 2.20490i 0.0831970 0.493030i
\(21\) 9.19236 2.69912i 2.00594 0.588996i
\(22\) 2.82752i 0.602830i
\(23\) −2.84316 3.86218i −0.592839 0.805321i
\(24\) −2.14560 −0.437969
\(25\) −0.469587 4.97790i −0.0939174 0.995580i
\(26\) 3.28165 + 3.78723i 0.643585 + 0.742736i
\(27\) 1.61982 + 2.52049i 0.311734 + 0.485068i
\(28\) −4.41970 + 0.635457i −0.835245 + 0.120090i
\(29\) −6.14851 3.95141i −1.14175 0.733758i −0.173771 0.984786i \(-0.555595\pi\)
−0.967980 + 0.251028i \(0.919231\pi\)
\(30\) −4.63494 + 1.23909i −0.846221 + 0.226226i
\(31\) −1.21119 + 1.39778i −0.217535 + 0.251049i −0.854020 0.520240i \(-0.825842\pi\)
0.636485 + 0.771289i \(0.280388\pi\)
\(32\) 0.989821 + 0.142315i 0.174977 + 0.0251579i
\(33\) −5.51850 + 2.52021i −0.960648 + 0.438713i
\(34\) 0.989025 + 0.290404i 0.169616 + 0.0498038i
\(35\) −9.18049 + 3.92511i −1.55179 + 0.663464i
\(36\) 0.666161 + 1.45869i 0.111027 + 0.243115i
\(37\) −5.30635 0.762938i −0.872359 0.125426i −0.308427 0.951248i \(-0.599803\pi\)
−0.563931 + 0.825822i \(0.690712\pi\)
\(38\) −1.99187 1.72596i −0.323123 0.279988i
\(39\) 4.46657 9.78043i 0.715224 1.56612i
\(40\) 2.22041 0.264194i 0.351077 0.0417728i
\(41\) 0.379411 + 2.63886i 0.0592541 + 0.412121i 0.997762 + 0.0668639i \(0.0212993\pi\)
−0.938508 + 0.345257i \(0.887792\pi\)
\(42\) 5.17957 + 8.05957i 0.799226 + 1.24362i
\(43\) −7.97658 + 6.91175i −1.21642 + 1.05403i −0.219497 + 0.975613i \(0.570442\pi\)
−0.996920 + 0.0784189i \(0.975013\pi\)
\(44\) 2.71299 0.796606i 0.408999 0.120093i
\(45\) 2.28144 + 2.76636i 0.340097 + 0.412384i
\(46\) 2.90473 3.81609i 0.428279 0.562652i
\(47\) 9.52621i 1.38954i −0.719232 0.694770i \(-0.755506\pi\)
0.719232 0.694770i \(-0.244494\pi\)
\(48\) −0.604486 2.05869i −0.0872500 0.297146i
\(49\) 8.47232 + 9.77757i 1.21033 + 1.39680i
\(50\) 4.64396 1.85300i 0.656755 0.262054i
\(51\) −0.314749 2.18913i −0.0440737 0.306539i
\(52\) −2.70927 + 4.21571i −0.375708 + 0.584613i
\(53\) 6.13122 + 2.80004i 0.842188 + 0.384614i 0.789316 0.613987i \(-0.210435\pi\)
0.0528720 + 0.998601i \(0.483162\pi\)
\(54\) −1.96204 + 2.26431i −0.266999 + 0.308134i
\(55\) 5.40058 3.28759i 0.728214 0.443299i
\(56\) −1.85489 4.06165i −0.247870 0.542760i
\(57\) −1.59319 + 5.42592i −0.211024 + 0.718680i
\(58\) 2.05911 7.01270i 0.270375 0.920812i
\(59\) −3.67827 8.05429i −0.478870 1.04858i −0.982773 0.184819i \(-0.940830\pi\)
0.503903 0.863760i \(-0.331897\pi\)
\(60\) −2.49471 4.09810i −0.322066 0.529063i
\(61\) 0.962688 1.11100i 0.123260 0.142249i −0.690766 0.723079i \(-0.742726\pi\)
0.814025 + 0.580830i \(0.197272\pi\)
\(62\) −1.68239 0.768323i −0.213664 0.0975772i
\(63\) 3.87117 6.02365i 0.487721 0.758909i
\(64\) 0.142315 + 0.989821i 0.0177894 + 0.123728i
\(65\) −3.41800 + 10.6714i −0.423951 + 1.32362i
\(66\) −3.97287 4.58494i −0.489026 0.564367i
\(67\) −3.95010 13.4528i −0.482581 1.64352i −0.736605 0.676323i \(-0.763572\pi\)
0.254024 0.967198i \(-0.418246\pi\)
\(68\) 1.03078i 0.125000i
\(69\) −10.0369 2.26784i −1.20830 0.273016i
\(70\) −6.35256 7.70279i −0.759276 0.920659i
\(71\) 5.75091 1.68862i 0.682507 0.200402i 0.0779421 0.996958i \(-0.475165\pi\)
0.604565 + 0.796556i \(0.293347\pi\)
\(72\) −1.21192 + 1.05014i −0.142826 + 0.123760i
\(73\) 0.315595 + 0.491075i 0.0369376 + 0.0574760i 0.859231 0.511587i \(-0.170942\pi\)
−0.822294 + 0.569063i \(0.807306\pi\)
\(74\) −0.762938 5.30635i −0.0886898 0.616851i
\(75\) −7.75575 7.41205i −0.895557 0.855869i
\(76\) 1.09488 2.39744i 0.125591 0.275005i
\(77\) −9.54159 8.26783i −1.08736 0.942207i
\(78\) 10.6426 + 1.53018i 1.20504 + 0.173259i
\(79\) 4.90969 + 10.7507i 0.552384 + 1.20955i 0.955660 + 0.294473i \(0.0951441\pi\)
−0.403276 + 0.915078i \(0.632129\pi\)
\(80\) 0.879053 + 2.05603i 0.0982811 + 0.229871i
\(81\) 10.7840 + 3.16647i 1.19822 + 0.351830i
\(82\) −2.42508 + 1.10750i −0.267805 + 0.122303i
\(83\) 8.64400 + 1.24282i 0.948802 + 0.136417i 0.599305 0.800520i \(-0.295444\pi\)
0.349497 + 0.936938i \(0.386353\pi\)
\(84\) −6.27385 + 7.24041i −0.684533 + 0.789993i
\(85\) 0.595276 + 2.22669i 0.0645668 + 0.241519i
\(86\) −8.87904 5.70621i −0.957451 0.615317i
\(87\) −15.5221 + 2.23173i −1.66414 + 0.239267i
\(88\) 1.52868 + 2.37867i 0.162957 + 0.253567i
\(89\) 0.803321 + 0.927082i 0.0851519 + 0.0982705i 0.796727 0.604340i \(-0.206563\pi\)
−0.711575 + 0.702610i \(0.752018\pi\)
\(90\) −2.01155 + 2.96840i −0.212036 + 0.312897i
\(91\) 22.3759 2.34563
\(92\) 4.47987 + 1.71195i 0.467059 + 0.178483i
\(93\) 3.96836i 0.411500i
\(94\) 9.14033 2.68384i 0.942753 0.276817i
\(95\) 0.980629 5.81126i 0.100610 0.596223i
\(96\) 1.80499 1.16000i 0.184221 0.118392i
\(97\) 5.00839 0.720098i 0.508525 0.0731148i 0.116723 0.993164i \(-0.462761\pi\)
0.391802 + 0.920050i \(0.371852\pi\)
\(98\) −6.99459 + 10.8838i −0.706560 + 1.09943i
\(99\) −1.88359 + 4.12448i −0.189308 + 0.414526i
\(100\) 3.08630 + 3.93380i 0.308630 + 0.393380i
\(101\) −1.15006 + 7.99884i −0.114435 + 0.795914i 0.849081 + 0.528263i \(0.177156\pi\)
−0.963516 + 0.267651i \(0.913753\pi\)
\(102\) 2.01178 0.918748i 0.199196 0.0909696i
\(103\) 1.14159 3.88789i 0.112484 0.383086i −0.883938 0.467604i \(-0.845117\pi\)
0.996422 + 0.0845189i \(0.0269353\pi\)
\(104\) −4.80823 1.41182i −0.471486 0.138441i
\(105\) −9.37146 + 19.2639i −0.914561 + 1.87997i
\(106\) −0.959249 + 6.67173i −0.0931705 + 0.648015i
\(107\) 3.74153 + 3.24205i 0.361707 + 0.313421i 0.816687 0.577081i \(-0.195808\pi\)
−0.454980 + 0.890502i \(0.650354\pi\)
\(108\) −2.72536 1.24463i −0.262248 0.119765i
\(109\) −0.845706 0.543502i −0.0810040 0.0520581i 0.499512 0.866307i \(-0.333513\pi\)
−0.580516 + 0.814249i \(0.697149\pi\)
\(110\) 4.67594 + 4.25560i 0.445833 + 0.405755i
\(111\) −9.67643 + 6.21866i −0.918446 + 0.590249i
\(112\) 3.37454 2.92405i 0.318864 0.276297i
\(113\) 4.20081 + 14.3067i 0.395179 + 1.34586i 0.881545 + 0.472101i \(0.156504\pi\)
−0.486365 + 0.873756i \(0.661678\pi\)
\(114\) −5.65498 −0.529638
\(115\) 10.6661 + 1.11103i 0.994619 + 0.103604i
\(116\) 7.30875 0.678601
\(117\) −2.26400 7.71049i −0.209307 0.712835i
\(118\) 6.69174 5.79843i 0.616025 0.533789i
\(119\) 3.87194 2.48834i 0.354940 0.228106i
\(120\) 3.22926 3.54823i 0.294790 0.323907i
\(121\) −2.52805 1.62468i −0.229823 0.147698i
\(122\) 1.33722 + 0.610687i 0.121066 + 0.0552890i
\(123\) 4.32302 + 3.74592i 0.389793 + 0.337758i
\(124\) 0.263216 1.83071i 0.0236375 0.164402i
\(125\) 8.93882 + 6.71547i 0.799512 + 0.600650i
\(126\) 6.87029 + 2.01730i 0.612054 + 0.179715i
\(127\) 1.38874 4.72960i 0.123230 0.419684i −0.874650 0.484754i \(-0.838909\pi\)
0.997881 + 0.0650704i \(0.0207272\pi\)
\(128\) −0.909632 + 0.415415i −0.0804009 + 0.0367178i
\(129\) −3.22284 + 22.4153i −0.283755 + 1.97356i
\(130\) −11.2021 0.273069i −0.982489 0.0239498i
\(131\) −9.10304 + 19.9329i −0.795337 + 1.74154i −0.134635 + 0.990895i \(0.542986\pi\)
−0.660701 + 0.750649i \(0.729741\pi\)
\(132\) 3.27993 5.10367i 0.285481 0.444217i
\(133\) −11.6486 + 1.67482i −1.01007 + 0.145226i
\(134\) 11.7950 7.58018i 1.01893 0.654828i
\(135\) −6.60611 1.11476i −0.568564 0.0959430i
\(136\) −0.989025 + 0.290404i −0.0848082 + 0.0249019i
\(137\) 8.25702i 0.705445i 0.935728 + 0.352723i \(0.114744\pi\)
−0.935728 + 0.352723i \(0.885256\pi\)
\(138\) −0.651751 10.2693i −0.0554807 0.874179i
\(139\) −19.5418 −1.65751 −0.828755 0.559611i \(-0.810950\pi\)
−0.828755 + 0.559611i \(0.810950\pi\)
\(140\) 5.60105 8.26536i 0.473375 0.698550i
\(141\) −13.3850 15.4471i −1.12722 1.30088i
\(142\) 3.24044 + 5.04222i 0.271931 + 0.423134i
\(143\) −14.0251 + 2.01651i −1.17284 + 0.168629i
\(144\) −1.34904 0.866973i −0.112420 0.0722478i
\(145\) 15.7884 4.22082i 1.31116 0.350520i
\(146\) −0.382270 + 0.441163i −0.0316369 + 0.0365109i
\(147\) 27.4763 + 3.95050i 2.26621 + 0.325832i
\(148\) 4.87646 2.22701i 0.400843 0.183059i
\(149\) −0.509619 0.149638i −0.0417496 0.0122588i 0.260791 0.965395i \(-0.416017\pi\)
−0.302541 + 0.953136i \(0.597835\pi\)
\(150\) 4.92676 9.52980i 0.402268 0.778105i
\(151\) −3.50395 7.67259i −0.285148 0.624386i 0.711807 0.702376i \(-0.247877\pi\)
−0.996954 + 0.0779893i \(0.975150\pi\)
\(152\) 2.60879 + 0.375087i 0.211601 + 0.0304236i
\(153\) −1.24922 1.08246i −0.100994 0.0875115i
\(154\) 5.24475 11.4844i 0.422634 0.925440i
\(155\) −0.488636 4.10671i −0.0392482 0.329859i
\(156\) 1.53018 + 10.6426i 0.122512 + 0.852093i
\(157\) −1.44727 2.25200i −0.115505 0.179729i 0.778688 0.627412i \(-0.215886\pi\)
−0.894192 + 0.447683i \(0.852249\pi\)
\(158\) −8.93203 + 7.73964i −0.710594 + 0.615733i
\(159\) 13.8762 4.07443i 1.10046 0.323124i
\(160\) −1.72509 + 1.42270i −0.136380 + 0.112474i
\(161\) −4.38396 20.9606i −0.345505 1.65192i
\(162\) 11.2393i 0.883040i
\(163\) 2.27325 + 7.74198i 0.178055 + 0.606399i 0.999355 + 0.0359028i \(0.0114307\pi\)
−0.821301 + 0.570496i \(0.806751\pi\)
\(164\) −1.74586 2.01483i −0.136329 0.157332i
\(165\) 4.13794 12.9191i 0.322138 1.00575i
\(166\) 1.24282 + 8.64400i 0.0964615 + 0.670904i
\(167\) 7.29581 11.3525i 0.564567 0.878483i −0.435195 0.900336i \(-0.643320\pi\)
0.999761 + 0.0218536i \(0.00695677\pi\)
\(168\) −8.71467 3.97986i −0.672351 0.307053i
\(169\) 7.93189 9.15389i 0.610145 0.704145i
\(170\) −1.96879 + 1.19850i −0.150999 + 0.0919204i
\(171\) 1.75574 + 3.84454i 0.134265 + 0.294000i
\(172\) 2.97356 10.1270i 0.226732 0.772177i
\(173\) −4.58148 + 15.6031i −0.348323 + 1.18628i 0.580034 + 0.814592i \(0.303039\pi\)
−0.928358 + 0.371688i \(0.878779\pi\)
\(174\) −6.51440 14.2645i −0.493855 1.08139i
\(175\) 7.32617 21.0895i 0.553806 1.59422i
\(176\) −1.85164 + 2.13690i −0.139572 + 0.161075i
\(177\) −17.2813 7.89210i −1.29894 0.593207i
\(178\) −0.663207 + 1.03197i −0.0497095 + 0.0773495i
\(179\) −0.162396 1.12949i −0.0121381 0.0844222i 0.982852 0.184396i \(-0.0590330\pi\)
−0.994990 + 0.0999743i \(0.968124\pi\)
\(180\) −3.41488 1.09377i −0.254530 0.0815248i
\(181\) −5.39162 6.22226i −0.400756 0.462497i 0.519123 0.854700i \(-0.326259\pi\)
−0.919879 + 0.392203i \(0.871713\pi\)
\(182\) 6.30401 + 21.4695i 0.467284 + 1.59142i
\(183\) 3.15417i 0.233163i
\(184\) −0.380478 + 4.78072i −0.0280492 + 0.352439i
\(185\) 9.24807 7.62696i 0.679931 0.560745i
\(186\) −3.80761 + 1.11802i −0.279188 + 0.0819769i
\(187\) −2.20267 + 1.90863i −0.161075 + 0.139573i
\(188\) 5.15026 + 8.01396i 0.375621 + 0.584478i
\(189\) 1.90390 + 13.2419i 0.138488 + 0.963208i
\(190\) 5.85214 0.696315i 0.424559 0.0505160i
\(191\) −8.46851 + 18.5434i −0.612760 + 1.34176i 0.307911 + 0.951415i \(0.400370\pi\)
−0.920670 + 0.390341i \(0.872357\pi\)
\(192\) 1.62154 + 1.40507i 0.117024 + 0.101402i
\(193\) 24.6261 + 3.54069i 1.77262 + 0.254865i 0.949672 0.313247i \(-0.101417\pi\)
0.822952 + 0.568112i \(0.192326\pi\)
\(194\) 2.10195 + 4.60264i 0.150912 + 0.330450i
\(195\) 9.45165 + 22.1066i 0.676846 + 1.58309i
\(196\) −12.4135 3.64494i −0.886680 0.260353i
\(197\) 9.46829 4.32402i 0.674588 0.308074i −0.0485069 0.998823i \(-0.515446\pi\)
0.723095 + 0.690749i \(0.242719\pi\)
\(198\) −4.48807 0.645288i −0.318954 0.0458586i
\(199\) −2.93954 + 3.39241i −0.208379 + 0.240482i −0.850312 0.526278i \(-0.823587\pi\)
0.641934 + 0.766760i \(0.278132\pi\)
\(200\) −2.90494 + 4.06956i −0.205410 + 0.287761i
\(201\) −25.3073 16.2640i −1.78504 1.14718i
\(202\) −7.99884 + 1.15006i −0.562796 + 0.0809179i
\(203\) −17.6436 27.4541i −1.23834 1.92690i
\(204\) 1.44832 + 1.67144i 0.101402 + 0.117025i
\(205\) −4.93498 3.34421i −0.344674 0.233570i
\(206\) 4.05203 0.282318
\(207\) −6.77922 + 3.63147i −0.471189 + 0.252405i
\(208\) 5.01122i 0.347466i
\(209\) 7.15040 2.09955i 0.494604 0.145229i
\(210\) −21.1239 3.56457i −1.45768 0.245979i
\(211\) 17.6999 11.3750i 1.21851 0.783088i 0.236446 0.971645i \(-0.424017\pi\)
0.982062 + 0.188557i \(0.0603810\pi\)
\(212\) −6.67173 + 0.959249i −0.458216 + 0.0658815i
\(213\) 6.95268 10.8186i 0.476390 0.741277i
\(214\) −2.05662 + 4.50336i −0.140587 + 0.307843i
\(215\) 0.575134 23.5936i 0.0392238 1.60907i
\(216\) 0.426391 2.96561i 0.0290122 0.201785i
\(217\) −7.51214 + 3.43068i −0.509958 + 0.232890i
\(218\) 0.283224 0.964571i 0.0191823 0.0653290i
\(219\) 1.20174 + 0.352864i 0.0812062 + 0.0238443i
\(220\) −2.76585 + 5.68547i −0.186474 + 0.383314i
\(221\) 0.735121 5.11288i 0.0494496 0.343930i
\(222\) −8.69293 7.53246i −0.583431 0.505546i
\(223\) −15.6662 7.15450i −1.04908 0.479101i −0.185153 0.982710i \(-0.559278\pi\)
−0.863932 + 0.503609i \(0.832005\pi\)
\(224\) 3.75632 + 2.41404i 0.250980 + 0.161295i
\(225\) −8.00849 0.390672i −0.533899 0.0260448i
\(226\) −12.5436 + 8.06130i −0.834390 + 0.536230i
\(227\) −8.90509 + 7.71631i −0.591052 + 0.512149i −0.898243 0.439498i \(-0.855156\pi\)
0.307192 + 0.951648i \(0.400611\pi\)
\(228\) −1.59319 5.42592i −0.105512 0.359340i
\(229\) 6.65247 0.439607 0.219804 0.975544i \(-0.429458\pi\)
0.219804 + 0.975544i \(0.429458\pi\)
\(230\) 1.93896 + 10.5471i 0.127851 + 0.695452i
\(231\) −27.0889 −1.78232
\(232\) 2.05911 + 7.01270i 0.135187 + 0.460406i
\(233\) −12.4111 + 10.7543i −0.813078 + 0.704536i −0.958580 0.284822i \(-0.908065\pi\)
0.145503 + 0.989358i \(0.453520\pi\)
\(234\) 6.76032 4.34459i 0.441936 0.284015i
\(235\) 15.7537 + 14.3375i 1.02766 + 0.935277i
\(236\) 7.44884 + 4.78708i 0.484878 + 0.311612i
\(237\) 23.0668 + 10.5342i 1.49835 + 0.684272i
\(238\) 3.47840 + 3.01405i 0.225471 + 0.195372i
\(239\) 1.51948 10.5682i 0.0982868 0.683600i −0.879791 0.475360i \(-0.842318\pi\)
0.978078 0.208239i \(-0.0667732\pi\)
\(240\) 4.31428 + 2.09880i 0.278486 + 0.135477i
\(241\) 27.9611 + 8.21012i 1.80113 + 0.528861i 0.997777 0.0666376i \(-0.0212271\pi\)
0.803357 + 0.595498i \(0.203045\pi\)
\(242\) 0.846635 2.88337i 0.0544238 0.185350i
\(243\) 13.7597 6.28384i 0.882684 0.403108i
\(244\) −0.209212 + 1.45510i −0.0133934 + 0.0931534i
\(245\) −28.9207 0.704990i −1.84768 0.0450401i
\(246\) −2.37625 + 5.20325i −0.151504 + 0.331747i
\(247\) −7.14060 + 11.1110i −0.454345 + 0.706975i
\(248\) 1.83071 0.263216i 0.116250 0.0167142i
\(249\) 15.7628 10.1301i 0.998927 0.641972i
\(250\) −3.92509 + 10.4687i −0.248245 + 0.662099i
\(251\) −6.83951 + 2.00826i −0.431706 + 0.126760i −0.490364 0.871518i \(-0.663136\pi\)
0.0586578 + 0.998278i \(0.481318\pi\)
\(252\) 7.16033i 0.451058i
\(253\) 4.63682 + 12.7429i 0.291514 + 0.801142i
\(254\) 4.92927 0.309290
\(255\) 4.09392 + 2.77426i 0.256371 + 0.173731i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 7.22143 + 11.2368i 0.450460 + 0.700930i 0.990006 0.141026i \(-0.0450402\pi\)
−0.539545 + 0.841956i \(0.681404\pi\)
\(258\) −22.4153 + 3.22284i −1.39552 + 0.200645i
\(259\) −20.1373 12.9415i −1.25127 0.804145i
\(260\) −2.89399 10.8253i −0.179478 0.671355i
\(261\) −7.67519 + 8.85764i −0.475082 + 0.548274i
\(262\) −21.6901 3.11856i −1.34002 0.192666i
\(263\) 5.28678 2.41439i 0.325997 0.148878i −0.245693 0.969348i \(-0.579015\pi\)
0.571690 + 0.820470i \(0.306288\pi\)
\(264\) 5.82099 + 1.70920i 0.358257 + 0.105194i
\(265\) −13.8583 + 5.92511i −0.851311 + 0.363977i
\(266\) −4.88878 10.7049i −0.299751 0.656362i
\(267\) 2.60523 + 0.374576i 0.159438 + 0.0229237i
\(268\) 10.5962 + 9.18163i 0.647264 + 0.560857i
\(269\) 0.834171 1.82658i 0.0508603 0.111368i −0.882496 0.470320i \(-0.844138\pi\)
0.933356 + 0.358952i \(0.116866\pi\)
\(270\) −0.791555 6.65258i −0.0481725 0.404863i
\(271\) −0.446016 3.10211i −0.0270935 0.188440i 0.971780 0.235889i \(-0.0758000\pi\)
−0.998874 + 0.0474487i \(0.984891\pi\)
\(272\) −0.557281 0.867146i −0.0337901 0.0525784i
\(273\) 36.2833 31.4396i 2.19596 1.90281i
\(274\) −7.92256 + 2.32627i −0.478619 + 0.140535i
\(275\) −2.69144 + 13.8791i −0.162300 + 0.836939i
\(276\) 9.66968 3.51854i 0.582046 0.211791i
\(277\) 16.5668i 0.995401i −0.867349 0.497700i \(-0.834178\pi\)
0.867349 0.497700i \(-0.165822\pi\)
\(278\) −5.50555 18.7502i −0.330201 1.12456i
\(279\) 1.94226 + 2.24149i 0.116280 + 0.134194i
\(280\) 9.50855 + 3.04555i 0.568245 + 0.182006i
\(281\) 1.47670 + 10.2707i 0.0880924 + 0.612696i 0.985267 + 0.171021i \(0.0547066\pi\)
−0.897175 + 0.441675i \(0.854384\pi\)
\(282\) 11.0504 17.1948i 0.658042 1.02393i
\(283\) −25.4272 11.6122i −1.51149 0.690274i −0.524551 0.851379i \(-0.675767\pi\)
−0.986937 + 0.161105i \(0.948494\pi\)
\(284\) −3.92504 + 4.52973i −0.232908 + 0.268790i
\(285\) −6.57510 10.8010i −0.389475 0.639798i
\(286\) −5.88616 12.8889i −0.348056 0.762136i
\(287\) −3.35377 + 11.4219i −0.197967 + 0.674213i
\(288\) 0.451787 1.53865i 0.0266218 0.0906656i
\(289\) 6.62068 + 14.4973i 0.389451 + 0.852780i
\(290\) 8.49796 + 13.9597i 0.499017 + 0.819744i
\(291\) 7.10950 8.20480i 0.416766 0.480974i
\(292\) −0.530990 0.242495i −0.0310739 0.0141910i
\(293\) 13.0744 20.3442i 0.763816 1.18852i −0.213543 0.976934i \(-0.568500\pi\)
0.977359 0.211588i \(-0.0678634\pi\)
\(294\) 3.95050 + 27.4763i 0.230398 + 1.60245i
\(295\) 18.8556 + 6.03936i 1.09781 + 0.351625i
\(296\) 3.51065 + 4.05151i 0.204053 + 0.235489i
\(297\) −2.38672 8.12842i −0.138492 0.471659i
\(298\) 0.531134i 0.0307678i
\(299\) −21.0002 11.6865i −1.21447 0.675850i
\(300\) 10.5318 + 2.04233i 0.608054 + 0.117914i
\(301\) −45.2186 + 13.2774i −2.60636 + 0.765295i
\(302\) 6.37462 5.52364i 0.366818 0.317850i
\(303\) 9.37406 + 14.5863i 0.538526 + 0.837962i
\(304\) 0.375087 + 2.60879i 0.0215127 + 0.149624i
\(305\) 0.388383 + 3.26414i 0.0222387 + 0.186904i
\(306\) 0.686664 1.50358i 0.0392540 0.0859542i
\(307\) 1.10648 + 0.958774i 0.0631504 + 0.0547201i 0.685864 0.727730i \(-0.259424\pi\)
−0.622714 + 0.782450i \(0.713970\pi\)
\(308\) 12.4968 + 1.79677i 0.712072 + 0.102381i
\(309\) −3.61163 7.90837i −0.205459 0.449892i
\(310\) 3.80270 1.62584i 0.215979 0.0923413i
\(311\) −7.77000 2.28148i −0.440596 0.129371i 0.0539080 0.998546i \(-0.482832\pi\)
−0.494504 + 0.869175i \(0.664650\pi\)
\(312\) −9.78043 + 4.46657i −0.553708 + 0.252870i
\(313\) −30.0393 4.31899i −1.69792 0.244124i −0.775786 0.630996i \(-0.782646\pi\)
−0.922133 + 0.386872i \(0.873555\pi\)
\(314\) 1.75303 2.02311i 0.0989294 0.114171i
\(315\) 4.13510 + 15.4678i 0.232987 + 0.871511i
\(316\) −9.94258 6.38971i −0.559314 0.359449i
\(317\) 26.8501 3.86046i 1.50805 0.216825i 0.661828 0.749656i \(-0.269781\pi\)
0.846222 + 0.532831i \(0.178872\pi\)
\(318\) 7.81878 + 12.1663i 0.438456 + 0.682250i
\(319\) 13.5331 + 15.6181i 0.757711 + 0.874445i
\(320\) −1.85108 1.25439i −0.103479 0.0701226i
\(321\) 10.6223 0.592881
\(322\) 18.8764 10.1117i 1.05194 0.563501i
\(323\) 2.71674i 0.151163i
\(324\) −10.7840 + 3.16647i −0.599111 + 0.175915i
\(325\) −12.5032 21.7135i −0.693554 1.20445i
\(326\) −6.78792 + 4.36233i −0.375948 + 0.241607i
\(327\) −2.13500 + 0.306967i −0.118066 + 0.0169753i
\(328\) 1.44135 2.24278i 0.0795852 0.123837i
\(329\) 17.6701 38.6921i 0.974183 2.13316i
\(330\) 13.5616 + 0.330586i 0.746542 + 0.0181982i
\(331\) 1.21817 8.47258i 0.0669569 0.465695i −0.928565 0.371169i \(-0.878957\pi\)
0.995522 0.0945265i \(-0.0301337\pi\)
\(332\) −7.94371 + 3.62777i −0.435968 + 0.199100i
\(333\) −2.42199 + 8.24855i −0.132724 + 0.452018i
\(334\) 12.9481 + 3.80191i 0.708489 + 0.208031i
\(335\) 28.1923 + 13.7149i 1.54031 + 0.749326i
\(336\) 1.36344 9.48292i 0.0743816 0.517336i
\(337\) −17.9010 15.5113i −0.975130 0.844955i 0.0127901 0.999918i \(-0.495929\pi\)
−0.987920 + 0.154963i \(0.950474\pi\)
\(338\) 11.0178 + 5.03164i 0.599287 + 0.273685i
\(339\) 26.9136 + 17.2963i 1.46175 + 0.939408i
\(340\) −1.70462 1.55138i −0.0924460 0.0841356i
\(341\) 4.39942 2.82733i 0.238242 0.153109i
\(342\) −3.19416 + 2.76776i −0.172721 + 0.149663i
\(343\) 7.46935 + 25.4383i 0.403307 + 1.37354i
\(344\) 10.5545 0.569062
\(345\) 18.8565 13.1850i 1.01520 0.709858i
\(346\) −16.2618 −0.874240
\(347\) 3.76003 + 12.8055i 0.201849 + 0.687435i 0.996740 + 0.0806824i \(0.0257100\pi\)
−0.794891 + 0.606753i \(0.792472\pi\)
\(348\) 11.8514 10.2693i 0.635302 0.550493i
\(349\) −26.9613 + 17.3270i −1.44321 + 0.927493i −0.443698 + 0.896176i \(0.646334\pi\)
−0.999510 + 0.0313170i \(0.990030\pi\)
\(350\) 22.2992 + 1.08781i 1.19194 + 0.0581457i
\(351\) 12.6307 + 8.11727i 0.674178 + 0.433268i
\(352\) −2.57201 1.17460i −0.137088 0.0626062i
\(353\) 11.8927 + 10.3051i 0.632985 + 0.548484i 0.911164 0.412045i \(-0.135185\pi\)
−0.278179 + 0.960529i \(0.589731\pi\)
\(354\) 2.70371 18.8047i 0.143701 0.999460i
\(355\) −5.86296 + 12.0519i −0.311174 + 0.639647i
\(356\) −1.17702 0.345603i −0.0623817 0.0183169i
\(357\) 2.78219 9.47528i 0.147249 0.501485i
\(358\) 1.03799 0.474033i 0.0548593 0.0250534i
\(359\) −0.876637 + 6.09714i −0.0462671 + 0.321795i 0.953523 + 0.301319i \(0.0974271\pi\)
−0.999790 + 0.0204754i \(0.993482\pi\)
\(360\) 0.0873829 3.58470i 0.00460548 0.188930i
\(361\) −5.00721 + 10.9643i −0.263538 + 0.577067i
\(362\) 4.45122 6.92624i 0.233951 0.364035i
\(363\) −6.38212 + 0.917611i −0.334974 + 0.0481621i
\(364\) −18.8238 + 12.0973i −0.986634 + 0.634071i
\(365\) −1.28709 0.217192i −0.0673694 0.0113683i
\(366\) 3.02641 0.888633i 0.158193 0.0464496i
\(367\) 8.40662i 0.438822i 0.975633 + 0.219411i \(0.0704136\pi\)
−0.975633 + 0.219411i \(0.929586\pi\)
\(368\) −4.69426 + 0.981817i −0.244705 + 0.0511808i
\(369\) 4.27521 0.222558
\(370\) 9.92349 + 6.72469i 0.515898 + 0.349600i
\(371\) 19.7091 + 22.7455i 1.02325 + 1.18089i
\(372\) −2.14546 3.33840i −0.111237 0.173088i
\(373\) 20.9647 3.01427i 1.08551 0.156073i 0.423743 0.905782i \(-0.360716\pi\)
0.661767 + 0.749709i \(0.269807\pi\)
\(374\) −2.45188 1.57573i −0.126784 0.0814788i
\(375\) 23.9303 1.67027i 1.23576 0.0862525i
\(376\) −6.23834 + 7.19943i −0.321718 + 0.371282i
\(377\) −36.2530 5.21239i −1.86712 0.268452i
\(378\) −12.1691 + 5.55746i −0.625913 + 0.285845i
\(379\) −3.00851 0.883378i −0.154537 0.0453761i 0.203549 0.979065i \(-0.434752\pi\)
−0.358086 + 0.933689i \(0.616571\pi\)
\(380\) 2.31685 + 5.41891i 0.118852 + 0.277984i
\(381\) −4.39353 9.62049i −0.225087 0.492873i
\(382\) −20.1782 2.90118i −1.03240 0.148437i
\(383\) −20.8576 18.0732i −1.06577 0.923499i −0.0685274 0.997649i \(-0.521830\pi\)
−0.997247 + 0.0741504i \(0.976376\pi\)
\(384\) −0.891315 + 1.95171i −0.0454847 + 0.0995976i
\(385\) 28.0334 3.33554i 1.42871 0.169995i
\(386\) 3.54069 + 24.6261i 0.180217 + 1.25343i
\(387\) 9.15050 + 14.2385i 0.465146 + 0.723781i
\(388\) −3.82401 + 3.31352i −0.194135 + 0.168219i
\(389\) 17.0188 4.99716i 0.862885 0.253366i 0.179799 0.983703i \(-0.442455\pi\)
0.683086 + 0.730338i \(0.260637\pi\)
\(390\) −18.5483 + 15.2969i −0.939230 + 0.774591i
\(391\) −4.93351 + 0.313111i −0.249498 + 0.0158347i
\(392\) 12.9376i 0.653447i
\(393\) 13.2462 + 45.1123i 0.668181 + 2.27562i
\(394\) 6.81640 + 7.86654i 0.343405 + 0.396311i
\(395\) −25.1681 8.06123i −1.26634 0.405604i
\(396\) −0.645288 4.48807i −0.0324269 0.225534i
\(397\) 1.19416 1.85815i 0.0599330 0.0932576i −0.809994 0.586439i \(-0.800530\pi\)
0.869927 + 0.493181i \(0.164166\pi\)
\(398\) −4.08316 1.86472i −0.204670 0.0934698i
\(399\) −16.5355 + 19.0829i −0.827809 + 0.955342i
\(400\) −4.72313 1.64074i −0.236157 0.0820371i
\(401\) 5.22524 + 11.4417i 0.260936 + 0.571370i 0.994073 0.108711i \(-0.0346722\pi\)
−0.733138 + 0.680080i \(0.761945\pi\)
\(402\) 8.47533 28.8643i 0.422711 1.43962i
\(403\) −2.61121 + 8.89298i −0.130074 + 0.442991i
\(404\) −3.35701 7.35082i −0.167017 0.365717i
\(405\) −21.4670 + 13.0680i −1.06670 + 0.649354i
\(406\) 21.3712 24.6637i 1.06063 1.22404i
\(407\) 13.7883 + 6.29691i 0.683462 + 0.312126i
\(408\) −1.19570 + 1.86055i −0.0591961 + 0.0921109i
\(409\) −0.369184 2.56773i −0.0182550 0.126966i 0.978656 0.205505i \(-0.0658836\pi\)
−0.996911 + 0.0785388i \(0.974975\pi\)
\(410\) 1.81840 5.67725i 0.0898044 0.280380i
\(411\) 11.6017 + 13.3891i 0.572269 + 0.660434i
\(412\) 1.14159 + 3.88789i 0.0562420 + 0.191543i
\(413\) 39.5365i 1.94546i
\(414\) −5.39430 5.48151i −0.265115 0.269402i
\(415\) −15.0650 + 12.4242i −0.739512 + 0.609882i
\(416\) 4.80823 1.41182i 0.235743 0.0692204i
\(417\) −31.6877 + 27.4575i −1.55175 + 1.34460i
\(418\) 4.02900 + 6.26925i 0.197065 + 0.306639i
\(419\) −1.98268 13.7898i −0.0968603 0.673678i −0.979175 0.203018i \(-0.934925\pi\)
0.882315 0.470660i \(-0.155984\pi\)
\(420\) −2.53109 21.2724i −0.123505 1.03799i
\(421\) −8.60168 + 18.8351i −0.419220 + 0.917965i 0.575734 + 0.817637i \(0.304716\pi\)
−0.994954 + 0.100328i \(0.968011\pi\)
\(422\) 15.9009 + 13.7782i 0.774042 + 0.670711i
\(423\) −15.1208 2.17404i −0.735197 0.105705i
\(424\) −2.80004 6.13122i −0.135982 0.297759i
\(425\) −4.57826 2.36689i −0.222078 0.114811i
\(426\) 12.3392 + 3.62310i 0.597834 + 0.175540i
\(427\) 5.97088 2.72681i 0.288951 0.131960i
\(428\) −4.90036 0.704565i −0.236868 0.0340565i
\(429\) −19.9089 + 22.9761i −0.961212 + 1.10930i
\(430\) 22.8000 6.09526i 1.09951 0.293940i
\(431\) −14.8257 9.52791i −0.714129 0.458943i 0.132461 0.991188i \(-0.457712\pi\)
−0.846590 + 0.532245i \(0.821348\pi\)
\(432\) 2.96561 0.426391i 0.142683 0.0205147i
\(433\) −2.87236 4.46948i −0.138037 0.214790i 0.765352 0.643612i \(-0.222565\pi\)
−0.903389 + 0.428822i \(0.858929\pi\)
\(434\) −5.40813 6.24131i −0.259599 0.299593i
\(435\) 19.6710 29.0280i 0.943150 1.39179i
\(436\) 1.00529 0.0481448
\(437\) 11.8072 + 4.51204i 0.564816 + 0.215840i
\(438\) 1.25248i 0.0598457i
\(439\) 20.3051 5.96212i 0.969110 0.284556i 0.241388 0.970429i \(-0.422397\pi\)
0.727722 + 0.685872i \(0.240579\pi\)
\(440\) −6.23440 1.05203i −0.297213 0.0501537i
\(441\) 17.4533 11.2165i 0.831108 0.534121i
\(442\) 5.11288 0.735121i 0.243195 0.0349661i
\(443\) 0.626481 0.974823i 0.0297650 0.0463152i −0.826052 0.563594i \(-0.809418\pi\)
0.855817 + 0.517278i \(0.173055\pi\)
\(444\) 4.77827 10.4629i 0.226766 0.496549i
\(445\) −2.74218 0.0668452i −0.129992 0.00316877i
\(446\) 2.45102 17.0472i 0.116059 0.807210i
\(447\) −1.03662 + 0.473407i −0.0490303 + 0.0223914i
\(448\) −1.25798 + 4.28428i −0.0594339 + 0.202413i
\(449\) −30.9405 9.08495i −1.46017 0.428745i −0.547281 0.836949i \(-0.684337\pi\)
−0.912891 + 0.408203i \(0.866155\pi\)
\(450\) −1.88141 7.79416i −0.0886903 0.367420i
\(451\) 1.07280 7.46145i 0.0505160 0.351346i
\(452\) −11.2687 9.76439i −0.530035 0.459278i
\(453\) −16.4623 7.51809i −0.773467 0.353230i
\(454\) −9.91260 6.37044i −0.465221 0.298980i
\(455\) −33.6770 + 37.0034i −1.57880 + 1.73475i
\(456\) 4.75727 3.05731i 0.222780 0.143172i
\(457\) −0.141553 + 0.122656i −0.00662156 + 0.00573761i −0.658165 0.752874i \(-0.728667\pi\)
0.651544 + 0.758611i \(0.274122\pi\)
\(458\) 1.87422 + 6.38300i 0.0875764 + 0.298258i
\(459\) 3.08833 0.144151
\(460\) −9.57356 + 4.83187i −0.446370 + 0.225287i
\(461\) 12.4537 0.580028 0.290014 0.957022i \(-0.406340\pi\)
0.290014 + 0.957022i \(0.406340\pi\)
\(462\) −7.63183 25.9916i −0.355065 1.20924i
\(463\) 6.36485 5.51517i 0.295799 0.256312i −0.494299 0.869292i \(-0.664575\pi\)
0.790098 + 0.612981i \(0.210030\pi\)
\(464\) −6.14851 + 3.95141i −0.285438 + 0.183440i
\(465\) −6.56256 5.97262i −0.304331 0.276974i
\(466\) −13.8153 8.87853i −0.639979 0.411290i
\(467\) −34.1117 15.5783i −1.57850 0.720878i −0.582725 0.812670i \(-0.698013\pi\)
−0.995778 + 0.0917915i \(0.970741\pi\)
\(468\) 6.07321 + 5.26247i 0.280734 + 0.243258i
\(469\) 8.90958 61.9675i 0.411406 2.86139i
\(470\) −9.31842 + 19.1549i −0.429827 + 0.883550i
\(471\) −5.51102 1.61818i −0.253934 0.0745619i
\(472\) −2.49459 + 8.49578i −0.114823 + 0.391050i
\(473\) 27.1463 12.3973i 1.24819 0.570029i
\(474\) −3.60887 + 25.1002i −0.165761 + 1.15289i
\(475\) 8.13430 + 10.3680i 0.373227 + 0.475716i
\(476\) −1.91198 + 4.18666i −0.0876355 + 0.191895i
\(477\) 5.84369 9.09296i 0.267564 0.416338i
\(478\) 10.5682 1.51948i 0.483378 0.0694993i
\(479\) −1.12834 + 0.725140i −0.0515552 + 0.0331325i −0.566165 0.824292i \(-0.691573\pi\)
0.514609 + 0.857425i \(0.327937\pi\)
\(480\) −0.798310 + 4.73083i −0.0364377 + 0.215932i
\(481\) −25.7765 + 7.56867i −1.17531 + 0.345102i
\(482\) 29.1416i 1.32736i
\(483\) −36.5598 27.8286i −1.66353 1.26624i
\(484\) 3.00510 0.136596
\(485\) −6.34709 + 9.36627i −0.288206 + 0.425300i
\(486\) 9.90585 + 11.4320i 0.449338 + 0.518564i
\(487\) 11.4246 + 17.7771i 0.517699 + 0.805556i 0.997414 0.0718687i \(-0.0228963\pi\)
−0.479715 + 0.877424i \(0.659260\pi\)
\(488\) −1.45510 + 0.209212i −0.0658694 + 0.00947059i
\(489\) 14.5642 + 9.35983i 0.658615 + 0.423266i
\(490\) −7.47148 27.9478i −0.337527 1.26256i
\(491\) 8.53136 9.84571i 0.385015 0.444331i −0.529850 0.848091i \(-0.677752\pi\)
0.914865 + 0.403761i \(0.132297\pi\)
\(492\) −5.66195 0.814065i −0.255260 0.0367009i
\(493\) −6.85290 + 3.12961i −0.308639 + 0.140951i
\(494\) −12.6727 3.72103i −0.570170 0.167417i
\(495\) −3.98583 9.32251i −0.179150 0.419016i
\(496\) 0.768323 + 1.68239i 0.0344987 + 0.0755417i
\(497\) 26.4904 + 3.80874i 1.18825 + 0.170845i
\(498\) 14.1607 + 12.2703i 0.634556 + 0.549846i
\(499\) 3.85270 8.43623i 0.172470 0.377658i −0.803582 0.595195i \(-0.797075\pi\)
0.976052 + 0.217537i \(0.0698023\pi\)
\(500\) −11.1505 0.816727i −0.498664 0.0365251i
\(501\) −4.12063 28.6596i −0.184096 1.28042i
\(502\) −3.85382 5.99667i −0.172005 0.267644i
\(503\) 10.3562 8.97373i 0.461762 0.400119i −0.392672 0.919678i \(-0.628449\pi\)
0.854434 + 0.519559i \(0.173904\pi\)
\(504\) −6.87029 + 2.01730i −0.306027 + 0.0898576i
\(505\) −11.4969 13.9406i −0.511607 0.620349i
\(506\) −10.9204 + 8.03910i −0.485472 + 0.357381i
\(507\) 25.9882i 1.15418i
\(508\) 1.38874 + 4.72960i 0.0616152 + 0.209842i
\(509\) 4.20288 + 4.85039i 0.186290 + 0.214990i 0.841210 0.540708i \(-0.181844\pi\)
−0.654921 + 0.755697i \(0.727298\pi\)
\(510\) −1.50849 + 4.70969i −0.0667972 + 0.208549i
\(511\) 0.370943 + 2.57997i 0.0164096 + 0.114131i
\(512\) 0.540641 0.841254i 0.0238932 0.0371785i
\(513\) −7.18300 3.28037i −0.317137 0.144832i
\(514\) −8.74708 + 10.0947i −0.385817 + 0.445257i
\(515\) 4.71133 + 7.73938i 0.207606 + 0.341038i
\(516\) −9.40741 20.5994i −0.414138 0.906836i
\(517\) −7.58864 + 25.8445i −0.333748 + 1.13664i
\(518\) 6.74392 22.9677i 0.296311 1.00914i
\(519\) 14.4944 + 31.7383i 0.636233 + 1.39316i
\(520\) 9.57144 5.82659i 0.419735 0.255513i
\(521\) 16.4281 18.9590i 0.719727 0.830609i −0.271548 0.962425i \(-0.587535\pi\)
0.991274 + 0.131816i \(0.0420809\pi\)
\(522\) −10.6612 4.86880i −0.466628 0.213102i
\(523\) −3.65423 + 5.68609i −0.159788 + 0.248635i −0.911911 0.410387i \(-0.865394\pi\)
0.752123 + 0.659023i \(0.229030\pi\)
\(524\) −3.11856 21.6901i −0.136235 0.947536i
\(525\) −17.7526 44.4912i −0.774785 1.94175i
\(526\) 3.80605 + 4.39241i 0.165952 + 0.191518i
\(527\) 0.537111 + 1.82923i 0.0233969 + 0.0796826i
\(528\) 6.06674i 0.264021i
\(529\) −6.83292 + 21.9616i −0.297083 + 0.954852i
\(530\) −9.58945 11.6277i −0.416539 0.505074i
\(531\) −13.6239 + 4.00033i −0.591225 + 0.173599i
\(532\) 8.89399 7.70668i 0.385603 0.334127i
\(533\) 7.22292 + 11.2391i 0.312859 + 0.486818i
\(534\) 0.374576 + 2.60523i 0.0162095 + 0.112739i
\(535\) −10.9927 + 1.30796i −0.475255 + 0.0565480i
\(536\) −5.82442 + 12.7537i −0.251577 + 0.550876i
\(537\) −1.85035 1.60333i −0.0798483 0.0691890i
\(538\) 1.98760 + 0.285774i 0.0856916 + 0.0123206i
\(539\) −15.1964 33.2756i −0.654557 1.43328i
\(540\) 6.16010 2.63374i 0.265088 0.113338i
\(541\) 25.0109 + 7.34386i 1.07530 + 0.315737i 0.770998 0.636838i \(-0.219758\pi\)
0.304304 + 0.952575i \(0.401576\pi\)
\(542\) 2.85080 1.30191i 0.122452 0.0559220i
\(543\) −17.4854 2.51402i −0.750371 0.107887i
\(544\) 0.675016 0.779010i 0.0289411 0.0333998i
\(545\) 2.17164 0.580558i 0.0930228 0.0248684i
\(546\) 40.3883 + 25.9560i 1.72846 + 1.11081i
\(547\) −19.2693 + 2.77050i −0.823894 + 0.118458i −0.541351 0.840797i \(-0.682087\pi\)
−0.282543 + 0.959255i \(0.591178\pi\)
\(548\) −4.46408 6.94625i −0.190696 0.296729i
\(549\) −1.54377 1.78160i −0.0658865 0.0760370i
\(550\) −14.0751 + 1.32777i −0.600166 + 0.0566163i
\(551\) 19.2631 0.820635
\(552\) 6.10028 + 8.28670i 0.259645 + 0.352706i
\(553\) 52.7726i 2.24412i
\(554\) 15.8957 4.66740i 0.675344 0.198299i
\(555\) 4.27967 25.3616i 0.181662 1.07654i
\(556\) 16.4396 10.5651i 0.697193 0.448059i
\(557\) −5.91272 + 0.850120i −0.250530 + 0.0360207i −0.266436 0.963853i \(-0.585846\pi\)
0.0159057 + 0.999873i \(0.494937\pi\)
\(558\) −1.60349 + 2.49509i −0.0678813 + 0.105625i
\(559\) −21.9718 + 48.1114i −0.929306 + 2.03490i
\(560\) −0.243313 + 9.98142i −0.0102819 + 0.421792i
\(561\) −0.889961 + 6.18981i −0.0375742 + 0.261334i
\(562\) −9.43859 + 4.31046i −0.398143 + 0.181826i
\(563\) −11.0799 + 37.7345i −0.466961 + 1.59032i 0.303498 + 0.952832i \(0.401845\pi\)
−0.770459 + 0.637490i \(0.779973\pi\)
\(564\) 19.6115 + 5.75846i 0.825793 + 0.242475i
\(565\) −29.9817 14.5854i −1.26134 0.613612i
\(566\) 3.97816 27.6687i 0.167215 1.16300i
\(567\) 37.9273 + 32.8642i 1.59280 + 1.38017i
\(568\) −5.45206 2.48987i −0.228763 0.104473i
\(569\) −17.0762 10.9742i −0.715870 0.460062i 0.131328 0.991339i \(-0.458076\pi\)
−0.847198 + 0.531277i \(0.821712\pi\)
\(570\) 8.51109 9.35176i 0.356490 0.391702i
\(571\) 38.0729 24.4680i 1.59330 1.02395i 0.622949 0.782263i \(-0.285934\pi\)
0.970353 0.241691i \(-0.0777019\pi\)
\(572\) 10.7085 9.27895i 0.447744 0.387972i
\(573\) 12.3228 + 41.9677i 0.514794 + 1.75323i
\(574\) −11.9041 −0.496867
\(575\) −17.8905 + 15.9666i −0.746083 + 0.665852i
\(576\) 1.60360 0.0668168
\(577\) 3.02905 + 10.3160i 0.126101 + 0.429461i 0.998207 0.0598564i \(-0.0190643\pi\)
−0.872106 + 0.489317i \(0.837246\pi\)
\(578\) −12.0448 + 10.4368i −0.500996 + 0.434115i
\(579\) 44.9070 28.8600i 1.86627 1.19938i
\(580\) −11.0001 + 12.0866i −0.456755 + 0.501870i
\(581\) 32.8036 + 21.0816i 1.36092 + 0.874611i
\(582\) 9.87543 + 4.50996i 0.409350 + 0.186944i
\(583\) −14.4034 12.4806i −0.596529 0.516895i
\(584\) 0.0830751 0.577800i 0.00343767 0.0239095i
\(585\) 16.1585 + 7.86072i 0.668070 + 0.325001i
\(586\) 23.2036 + 6.81320i 0.958533 + 0.281451i
\(587\) −0.463798 + 1.57955i −0.0191430 + 0.0651951i −0.968511 0.248972i \(-0.919907\pi\)
0.949368 + 0.314167i \(0.101725\pi\)
\(588\) −25.2504 + 11.5315i −1.04131 + 0.475549i
\(589\) 0.693736 4.82504i 0.0285849 0.198812i
\(590\) −0.482493 + 19.7933i −0.0198639 + 0.814876i
\(591\) 9.27763 20.3152i 0.381631 0.835655i
\(592\) −2.89833 + 4.50989i −0.119121 + 0.185355i
\(593\) 28.9509 4.16251i 1.18887 0.170934i 0.480643 0.876917i \(-0.340403\pi\)
0.708229 + 0.705983i \(0.249494\pi\)
\(594\) 7.12675 4.58008i 0.292414 0.187923i
\(595\) −1.71247 + 10.1482i −0.0702046 + 0.416036i
\(596\) 0.509619 0.149638i 0.0208748 0.00612940i
\(597\) 9.63119i 0.394178i
\(598\) 5.29672 23.4420i 0.216599 0.958616i
\(599\) 25.0823 1.02483 0.512417 0.858737i \(-0.328750\pi\)
0.512417 + 0.858737i \(0.328750\pi\)
\(600\) 1.00755 + 10.6806i 0.0411329 + 0.436033i
\(601\) 18.0593 + 20.8416i 0.736656 + 0.850146i 0.993204 0.116385i \(-0.0371307\pi\)
−0.256548 + 0.966531i \(0.582585\pi\)
\(602\) −25.4791 39.6463i −1.03845 1.61586i
\(603\) −22.2548 + 3.19976i −0.906287 + 0.130304i
\(604\) 7.09583 + 4.56021i 0.288725 + 0.185552i
\(605\) 6.49164 1.73545i 0.263923 0.0705562i
\(606\) −11.3545 + 13.1038i −0.461245 + 0.532305i
\(607\) 27.7696 + 3.99267i 1.12714 + 0.162058i 0.680563 0.732690i \(-0.261735\pi\)
0.446573 + 0.894747i \(0.352644\pi\)
\(608\) −2.39744 + 1.09488i −0.0972291 + 0.0444030i
\(609\) −67.1847 19.7272i −2.72246 0.799387i
\(610\) −3.02250 + 1.29227i −0.122377 + 0.0523223i
\(611\) −19.8311 43.4240i −0.802279 1.75675i
\(612\) 1.63613 + 0.235241i 0.0661368 + 0.00950904i
\(613\) −12.0625 10.4522i −0.487198 0.422159i 0.376311 0.926494i \(-0.377193\pi\)
−0.863509 + 0.504334i \(0.831738\pi\)
\(614\) −0.608205 + 1.33178i −0.0245451 + 0.0537464i
\(615\) −12.7011 + 1.51124i −0.512158 + 0.0609389i
\(616\) 1.79677 + 12.4968i 0.0723940 + 0.503511i
\(617\) −5.67040 8.82331i −0.228282 0.355213i 0.708151 0.706061i \(-0.249530\pi\)
−0.936432 + 0.350848i \(0.885893\pi\)
\(618\) 6.57052 5.69338i 0.264305 0.229021i
\(619\) −3.08043 + 0.904497i −0.123813 + 0.0363548i −0.343052 0.939316i \(-0.611461\pi\)
0.219239 + 0.975671i \(0.429643\pi\)
\(620\) 2.63132 + 3.19061i 0.105676 + 0.128138i
\(621\) 5.12919 13.4222i 0.205827 0.538614i
\(622\) 8.09803i 0.324701i
\(623\) 1.54317 + 5.25555i 0.0618258 + 0.210559i
\(624\) −7.04111 8.12588i −0.281870 0.325295i
\(625\) −24.5590 + 4.67512i −0.982359 + 0.187005i
\(626\) −4.31899 30.0393i −0.172622 1.20061i
\(627\) 8.64463 13.4513i 0.345233 0.537194i
\(628\) 2.43505 + 1.11205i 0.0971689 + 0.0443755i
\(629\) −3.61871 + 4.17621i −0.144287 + 0.166516i
\(630\) −13.6762 + 8.32538i −0.544875 + 0.331691i
\(631\) −2.07634 4.54655i −0.0826577 0.180995i 0.863790 0.503852i \(-0.168084\pi\)
−0.946448 + 0.322856i \(0.895357\pi\)
\(632\) 3.32973 11.3400i 0.132450 0.451082i
\(633\) 12.7183 43.3145i 0.505507 1.72160i
\(634\) 11.2686 + 24.6748i 0.447534 + 0.979963i
\(635\) 5.73131 + 9.41491i 0.227440 + 0.373619i
\(636\) −9.47064 + 10.9297i −0.375535 + 0.433391i
\(637\) 58.9742 + 26.9326i 2.33664 + 1.06711i
\(638\) −11.1727 + 17.3851i −0.442332 + 0.688282i
\(639\) −1.36786 9.51368i −0.0541117 0.376355i
\(640\) 0.682070 2.12950i 0.0269612 0.0841760i
\(641\) 10.8861 + 12.5633i 0.429976 + 0.496219i 0.928850 0.370456i \(-0.120798\pi\)
−0.498874 + 0.866674i \(0.666253\pi\)
\(642\) 2.99266 + 10.1921i 0.118111 + 0.402248i
\(643\) 37.1232i 1.46400i −0.681306 0.731999i \(-0.738588\pi\)
0.681306 0.731999i \(-0.261412\pi\)
\(644\) 15.0202 + 15.2630i 0.591877 + 0.601446i
\(645\) −32.2181 39.0661i −1.26859 1.53823i
\(646\) −2.60669 + 0.765393i −0.102559 + 0.0301140i
\(647\) 32.0100 27.7369i 1.25844 1.09045i 0.266492 0.963837i \(-0.414135\pi\)
0.991952 0.126611i \(-0.0404100\pi\)
\(648\) −6.07641 9.45507i −0.238704 0.371430i
\(649\) 3.56302 + 24.7813i 0.139861 + 0.972753i
\(650\) 17.3114 18.1142i 0.679010 0.710496i
\(651\) −7.36087 + 16.1181i −0.288495 + 0.631717i
\(652\) −6.09801 5.28395i −0.238816 0.206936i
\(653\) −3.89702 0.560307i −0.152502 0.0219265i 0.0656408 0.997843i \(-0.479091\pi\)
−0.218143 + 0.975917i \(0.570000\pi\)
\(654\) −0.896032 1.96204i −0.0350376 0.0767217i
\(655\) −19.2628 45.0541i −0.752660 1.76041i
\(656\) 2.55801 + 0.751099i 0.0998735 + 0.0293255i
\(657\) 0.851497 0.388866i 0.0332201 0.0151711i
\(658\) 42.1030 + 6.05350i 1.64135 + 0.235990i
\(659\) −30.7016 + 35.4316i −1.19597 + 1.38022i −0.289913 + 0.957053i \(0.593626\pi\)
−0.906053 + 0.423165i \(0.860919\pi\)
\(660\) 3.50355 + 13.1054i 0.136376 + 0.510127i
\(661\) −16.9223 10.8753i −0.658201 0.423000i 0.168453 0.985710i \(-0.446123\pi\)
−0.826655 + 0.562709i \(0.809759\pi\)
\(662\) 8.47258 1.21817i 0.329296 0.0473456i
\(663\) −5.99193 9.32362i −0.232707 0.362099i
\(664\) −5.71882 6.59987i −0.221933 0.256125i
\(665\) 14.7622 21.7843i 0.572455 0.844760i
\(666\) −8.59678 −0.333119
\(667\) 2.22012 + 34.9812i 0.0859633 + 1.35448i
\(668\) 13.4947i 0.522127i
\(669\) −35.4558 + 10.4108i −1.37080 + 0.402504i
\(670\) −5.21667 + 30.9143i −0.201538 + 1.19432i
\(671\) −3.49679 + 2.24725i −0.134992 + 0.0867542i
\(672\) 9.48292 1.36344i 0.365812 0.0525958i
\(673\) −24.9339 + 38.7979i −0.961132 + 1.49555i −0.0951582 + 0.995462i \(0.530336\pi\)
−0.865974 + 0.500089i \(0.833301\pi\)
\(674\) 9.83970 21.5459i 0.379011 0.829918i
\(675\) 11.7861 9.24689i 0.453647 0.355913i
\(676\) −1.72376 + 11.9890i −0.0662986 + 0.461117i
\(677\) 18.3180 8.36555i 0.704018 0.321514i −0.0310404 0.999518i \(-0.509882\pi\)
0.735058 + 0.678004i \(0.237155\pi\)
\(678\) −9.01326 + 30.6964i −0.346152 + 1.17889i
\(679\) 21.6780 + 6.36524i 0.831925 + 0.244275i
\(680\) 1.00829 2.07265i 0.0386663 0.0794823i
\(681\) −3.59799 + 25.0246i −0.137875 + 0.958943i
\(682\) 3.95227 + 3.42466i 0.151340 + 0.131137i
\(683\) −18.2912 8.35330i −0.699893 0.319630i 0.0334969 0.999439i \(-0.489336\pi\)
−0.733390 + 0.679809i \(0.762063\pi\)
\(684\) −3.55554 2.28501i −0.135950 0.0873695i
\(685\) −13.6548 12.4273i −0.521724 0.474823i
\(686\) −22.3035 + 14.3336i −0.851551 + 0.547259i
\(687\) 10.7872 9.34718i 0.411558 0.356617i
\(688\) 2.97356 + 10.1270i 0.113366 + 0.386088i
\(689\) 33.7773 1.28681
\(690\) 17.9634 + 14.3781i 0.683857 + 0.547364i
\(691\) 0.192592 0.00732653 0.00366326 0.999993i \(-0.498834\pi\)
0.00366326 + 0.999993i \(0.498834\pi\)
\(692\) −4.58148 15.6031i −0.174162 0.593140i
\(693\) −15.3009 + 13.2583i −0.581234 + 0.503642i
\(694\) −11.2275 + 7.21545i −0.426189 + 0.273895i
\(695\) 29.4115 32.3166i 1.11564 1.22584i
\(696\) 13.1923 + 8.47815i 0.500051 + 0.321363i
\(697\) 2.49972 + 1.14158i 0.0946836 + 0.0432406i
\(698\) −24.2210 20.9876i −0.916779 0.794394i
\(699\) −5.01454 + 34.8769i −0.189667 + 1.31917i
\(700\) 5.23868 + 21.7024i 0.198003 + 0.820275i
\(701\) −5.12787 1.50568i −0.193677 0.0568687i 0.183455 0.983028i \(-0.441272\pi\)
−0.377133 + 0.926159i \(0.623090\pi\)
\(702\) −4.22998 + 14.4060i −0.159650 + 0.543719i
\(703\) 12.8525 5.86954i 0.484741 0.221374i
\(704\) 0.402399 2.79874i 0.0151660 0.105482i
\(705\) 45.6904 + 1.11378i 1.72080 + 0.0419473i
\(706\) −6.53710 + 14.3142i −0.246027 + 0.538724i
\(707\) −19.5081 + 30.3552i −0.733678 + 1.14162i
\(708\) 18.8047 2.70371i 0.706725 0.101612i
\(709\) −16.4950 + 10.6007i −0.619482 + 0.398117i −0.812402 0.583098i \(-0.801841\pi\)
0.192920 + 0.981214i \(0.438204\pi\)
\(710\) −13.2155 2.23006i −0.495968 0.0836928i
\(711\) 18.1849 5.33957i 0.681987 0.200249i
\(712\) 1.22671i 0.0459727i
\(713\) 8.84209 + 0.703706i 0.331139 + 0.0263540i
\(714\) 9.87530 0.369574
\(715\) 17.7739 26.2286i 0.664707 0.980895i
\(716\) 0.747266 + 0.862391i 0.0279266 + 0.0322291i
\(717\) −12.3852 19.2717i −0.462532 0.719714i
\(718\) −6.09714 + 0.876637i −0.227543 + 0.0327158i
\(719\) 2.92170 + 1.87767i 0.108961 + 0.0700251i 0.593986 0.804475i \(-0.297553\pi\)
−0.485025 + 0.874500i \(0.661190\pi\)
\(720\) 3.46411 0.926083i 0.129100 0.0345131i
\(721\) 11.8483 13.6737i 0.441256 0.509236i
\(722\) −11.9308 1.71539i −0.444020 0.0638404i
\(723\) 56.8758 25.9743i 2.11523 0.965995i
\(724\) 7.89973 + 2.31957i 0.293591 + 0.0862061i
\(725\) −16.7825 + 32.4622i −0.623285 + 1.20562i
\(726\) −2.67849 5.86508i −0.0994082 0.217674i
\(727\) −8.07215 1.16060i −0.299379 0.0430443i −0.00901164 0.999959i \(-0.502869\pi\)
−0.290368 + 0.956915i \(0.593778\pi\)
\(728\) −16.9105 14.6531i −0.626747 0.543079i
\(729\) −0.524277 + 1.14801i −0.0194177 + 0.0425188i
\(730\) −0.154221 1.29614i −0.00570798 0.0479724i
\(731\) 1.54830 + 10.7686i 0.0572659 + 0.398293i
\(732\) 1.70528 + 2.65346i 0.0630288 + 0.0980747i
\(733\) 38.7239 33.5545i 1.43030 1.23936i 0.503401 0.864053i \(-0.332082\pi\)
0.926900 0.375309i \(-0.122463\pi\)
\(734\) −8.06609 + 2.36842i −0.297725 + 0.0874199i
\(735\) −47.8866 + 39.4925i −1.76632 + 1.45670i
\(736\) −2.26457 4.22750i −0.0834732 0.155828i
\(737\) 39.6440i 1.46030i
\(738\) 1.20446 + 4.10203i 0.0443370 + 0.150998i
\(739\) −14.9540 17.2579i −0.550093 0.634841i 0.410812 0.911720i \(-0.365245\pi\)
−0.960905 + 0.276879i \(0.910700\pi\)
\(740\) −3.65652 + 11.4161i −0.134416 + 0.419664i
\(741\) 4.03297 + 28.0499i 0.148155 + 1.03044i
\(742\) −16.2715 + 25.3189i −0.597344 + 0.929485i
\(743\) 42.9514 + 19.6153i 1.57574 + 0.719614i 0.995494 0.0948296i \(-0.0302306\pi\)
0.580242 + 0.814444i \(0.302958\pi\)
\(744\) 2.59872 2.99908i 0.0952738 0.109952i
\(745\) 1.01447 0.617554i 0.0371672 0.0226254i
\(746\) 8.79861 + 19.2663i 0.322140 + 0.705388i
\(747\) 3.94541 13.4368i 0.144355 0.491627i
\(748\) 0.821124 2.79649i 0.0300233 0.102250i
\(749\) 9.18311 + 20.1082i 0.335543 + 0.734738i
\(750\) 8.34457 + 22.4904i 0.304700 + 0.821234i
\(751\) 12.3052 14.2009i 0.449022 0.518199i −0.485436 0.874272i \(-0.661339\pi\)
0.934458 + 0.356073i \(0.115885\pi\)
\(752\) −8.66535 3.95733i −0.315993 0.144309i
\(753\) −8.26877 + 12.8665i −0.301331 + 0.468880i
\(754\) −5.21239 36.2530i −0.189824 1.32026i
\(755\) 17.9620 + 5.75315i 0.653703 + 0.209378i
\(756\) −8.76079 10.1105i −0.318627 0.367715i
\(757\) −8.67318 29.5381i −0.315232 1.07358i −0.952904 0.303274i \(-0.901920\pi\)
0.637671 0.770308i \(-0.279898\pi\)
\(758\) 3.13552i 0.113887i
\(759\) 25.4235 + 14.1481i 0.922814 + 0.513543i
\(760\) −4.54668 + 3.74968i −0.164925 + 0.136015i
\(761\) 8.87635 2.60633i 0.321768 0.0944795i −0.116860 0.993148i \(-0.537283\pi\)
0.438628 + 0.898669i \(0.355465\pi\)
\(762\) 7.99299 6.92597i 0.289556 0.250901i
\(763\) −2.42682 3.77621i −0.0878568 0.136708i
\(764\) −2.90118 20.1782i −0.104961 0.730020i
\(765\) 3.67024 0.436702i 0.132698 0.0157890i
\(766\) 11.4649 25.1046i 0.414242 0.907064i
\(767\) −33.5338 29.0572i −1.21084 1.04920i
\(768\) −2.12376 0.305351i −0.0766346 0.0110184i
\(769\) −2.29563 5.02674i −0.0827827 0.181269i 0.863714 0.503982i \(-0.168132\pi\)
−0.946497 + 0.322713i \(0.895405\pi\)
\(770\) 11.0983 + 25.9581i 0.399956 + 0.935464i
\(771\) 27.4983 + 8.07422i 0.990325 + 0.290786i
\(772\) −22.6310 + 10.3352i −0.814508 + 0.371973i
\(773\) 1.82037 + </