Properties

Label 230.2.j.a.9.2
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 9.2
Character \(\chi\) \(=\) 230.9
Dual form 230.2.j.a.179.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281733 - 0.959493i) q^{2} +(-1.62154 + 1.40507i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(1.91000 + 1.16271i) q^{5} +(1.80499 + 1.16000i) q^{6} +(-4.06165 - 1.85489i) q^{7} +(0.755750 + 0.654861i) q^{8} +(0.228216 - 1.58728i) q^{9} +O(q^{10})\) \(q+(-0.281733 - 0.959493i) q^{2} +(-1.62154 + 1.40507i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(1.91000 + 1.16271i) 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} +(0.577502 - 2.16021i) 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} +(-4.73083 + 0.798310i) 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} +(-2.23540 + 0.0544916i) q^{20} +(9.19236 - 2.69912i) q^{21} +2.82752i q^{22} +(2.84316 + 3.86218i) q^{23} -2.14560 q^{24} +(2.29621 + 4.44155i) 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} +(2.09880 + 4.31428i) 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} +(-5.60105 - 8.26536i) 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} +(0.682070 + 2.12950i) 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} +(3.61472 - 3.45453i) 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} +(-4.25560 - 4.67594i) 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} +(3.54823 - 3.22926i) 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} +(-11.1269 - 1.32394i) 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} +(-9.96409 - 3.97580i) 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} +(1.85108 - 1.25439i) 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} +(-2.07265 + 1.00829i) 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} +(-3.29706 - 1.40965i) q^{90} +22.3759 q^{91} +(-4.47987 - 1.71195i) q^{92} -3.96836i q^{93} +(9.14033 - 2.68384i) q^{94} +(-5.89167 + 0.143619i) 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 −0.982222 0.187723i \(-0.939889\pi\)
0.0460273 + 0.998940i \(0.485344\pi\)
\(4\) −0.841254 + 0.540641i −0.420627 + 0.270320i
\(5\) 1.91000 + 1.16271i 0.854179 + 0.519979i
\(6\) 1.80499 + 1.16000i 0.736886 + 0.473568i
\(7\) −4.06165 1.85489i −1.53516 0.701083i −0.544666 0.838653i \(-0.683343\pi\)
−0.990492 + 0.137570i \(0.956071\pi\)
\(8\) 0.755750 + 0.654861i 0.267198 + 0.231528i
\(9\) 0.228216 1.58728i 0.0760722 0.529093i
\(10\) 0.577502 2.16021i 0.182622 0.683117i
\(11\) −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 −0.930847 0.365410i \(-0.880929\pi\)
−0.333417 + 0.942780i \(0.608202\pi\)
\(14\) −0.635457 + 4.41970i −0.169833 + 1.18122i
\(15\) −4.73083 + 0.798310i −1.22149 + 0.206123i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) −0.557281 + 0.867146i −0.135160 + 0.210314i −0.902236 0.431244i \(-0.858075\pi\)
0.767075 + 0.641557i \(0.221711\pi\)
\(18\) −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 \(0.415945\pi\)
\(20\) −2.23540 + 0.0544916i −0.499852 + 0.0121847i
\(21\) 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
\(25\) 2.29621 + 4.44155i 0.459243 + 0.888311i
\(26\) 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 \(0.919231\pi\)
\(30\) 2.09880 + 4.31428i 0.383187 + 0.787677i
\(31\) −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
\(35\) −5.60105 8.26536i −0.946750 1.39710i
\(36\) 0.666161 + 1.45869i 0.111027 + 0.243115i
\(37\) 5.30635 + 0.762938i 0.872359 + 0.125426i 0.563931 0.825822i \(-0.309288\pi\)
0.308427 + 0.951248i \(0.400197\pi\)
\(38\) 1.99187 + 1.72596i 0.323123 + 0.279988i
\(39\) 4.46657 9.78043i 0.715224 1.56612i
\(40\) 0.682070 + 2.12950i 0.107845 + 0.336704i
\(41\) 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 \(-0.429558\pi\)
0.996920 0.0784189i \(-0.0249872\pi\)
\(44\) 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 \(0.244494\pi\)
−0.719232 + 0.694770i \(0.755506\pi\)
\(48\) 0.604486 + 2.05869i 0.0872500 + 0.297146i
\(49\) 8.47232 + 9.77757i 1.21033 + 1.39680i
\(50\) 3.61472 3.45453i 0.511199 0.488545i
\(51\) −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 −0.0528720 0.998601i \(-0.516838\pi\)
−0.789316 + 0.613987i \(0.789565\pi\)
\(54\) −1.96204 + 2.26431i −0.266999 + 0.308134i
\(55\) −4.25560 4.67594i −0.573824 0.630503i
\(56\) −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 \(-0.331897\pi\)
\(60\) 3.54823 3.22926i 0.458074 0.416895i
\(61\) 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
\(65\) −11.1269 1.32394i −1.38013 0.164214i
\(66\) −3.97287 4.58494i −0.489026 0.564367i
\(67\) 3.95010 + 13.4528i 0.482581 + 1.64352i 0.736605 + 0.676323i \(0.236428\pi\)
−0.254024 + 0.967198i \(0.581754\pi\)
\(68\) 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 0.822294 0.569063i \(-0.192694\pi\)
−0.859231 + 0.511587i \(0.829058\pi\)
\(74\) −0.762938 5.30635i −0.0886898 0.616851i
\(75\) −9.96409 3.97580i −1.15055 0.459086i
\(76\) 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 \(0.632129\pi\)
\(80\) 1.85108 1.25439i 0.206957 0.140245i
\(81\) 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 −0.349497 0.936938i \(-0.613647\pi\)
−0.599305 + 0.800520i \(0.704556\pi\)
\(84\) −6.27385 + 7.24041i −0.684533 + 0.789993i
\(85\) −2.07265 + 1.00829i −0.224810 + 0.109365i
\(86\) −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 \(0.752018\pi\)
\(90\) −3.29706 1.40965i −0.347540 0.148590i
\(91\) 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
\(95\) −5.89167 + 0.143619i −0.604473 + 0.0147350i
\(96\) 1.80499 1.16000i 0.184221 0.118392i
\(97\) −5.00839 + 0.720098i −0.508525 + 0.0731148i −0.391802 0.920050i \(-0.628148\pi\)
−0.116723 + 0.993164i \(0.537239\pi\)
\(98\) 6.99459 10.8838i 0.706560 1.09943i
\(99\) −1.88359 + 4.12448i −0.189308 + 0.414526i
\(100\) −4.33298 2.49505i −0.433298 0.249505i
\(101\) −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 −0.996422 0.0845189i \(-0.973065\pi\)
0.883938 + 0.467604i \(0.154883\pi\)
\(104\) −4.80823 1.41182i −0.471486 0.138441i
\(105\) 20.6957 + 5.53272i 2.01969 + 0.539938i
\(106\) −0.959249 + 6.67173i −0.0931705 + 0.648015i
\(107\) −3.74153 3.24205i −0.361707 0.313421i 0.454980 0.890502i \(-0.349646\pi\)
−0.816687 + 0.577081i \(0.804192\pi\)
\(108\) 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 \(0.697149\pi\)
\(110\) −3.28759 + 5.40058i −0.313459 + 0.514925i
\(111\) −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 \(-0.843496\pi\)
0.486365 0.873756i \(-0.338322\pi\)
\(114\) −5.65498 −0.529638
\(115\) 0.939838 + 10.6825i 0.0876403 + 0.996152i
\(116\) 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
\(120\) −4.09810 2.49471i −0.374104 0.227735i
\(121\) −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
\(125\) −0.778463 + 11.1532i −0.0696279 + 0.997573i
\(126\) 6.87029 + 2.01730i 0.612054 + 0.179715i
\(127\) −1.38874 + 4.72960i −0.123230 + 0.419684i −0.997881 0.0650704i \(-0.979273\pi\)
0.874650 + 0.484754i \(0.161091\pi\)
\(128\) 0.909632 0.415415i 0.0804009 0.0367178i
\(129\) −3.22284 + 22.4153i −0.283755 + 1.97356i
\(130\) 1.86452 + 11.0492i 0.163529 + 0.969081i
\(131\) −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
\(135\) −0.163263 6.69752i −0.0140514 0.576431i
\(136\) −0.989025 + 0.290404i −0.0848082 + 0.0249019i
\(137\) 8.25702i 0.705445i −0.935728 0.352723i \(-0.885256\pi\)
0.935728 0.352723i \(-0.114744\pi\)
\(138\) 0.651751 + 10.2693i 0.0554807 + 0.874179i
\(139\) −19.5418 −1.65751 −0.828755 0.559611i \(-0.810950\pi\)
−0.828755 + 0.559611i \(0.810950\pi\)
\(140\) 9.18049 + 3.92511i 0.775893 + 0.331732i
\(141\) −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
\(145\) −7.14933 14.6961i −0.593720 1.22045i
\(146\) −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 \(0.597835\pi\)
\(150\) −1.00755 + 10.6806i −0.0822658 + 0.872066i
\(151\) −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
\(155\) −3.93858 + 1.26151i −0.316355 + 0.101327i
\(156\) 1.53018 + 10.6426i 0.122512 + 0.852093i
\(157\) 1.44727 + 2.25200i 0.115505 + 0.179729i 0.894192 0.447683i \(-0.147751\pi\)
−0.778688 + 0.627412i \(0.784114\pi\)
\(158\) 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 \(-0.988569\pi\)
0.821301 0.570496i \(-0.193249\pi\)
\(164\) −1.74586 2.01483i −0.136329 0.157332i
\(165\) 13.4706 + 1.60280i 1.04869 + 0.124778i
\(166\) 1.24282 + 8.64400i 0.0964615 + 0.670904i
\(167\) −7.29581 + 11.3525i −0.564567 + 0.878483i −0.999761 0.0218536i \(-0.993043\pi\)
0.435195 + 0.900336i \(0.356680\pi\)
\(168\) 8.71467 + 3.97986i 0.672351 + 0.307053i
\(169\) 7.93189 9.15389i 0.610145 0.704145i
\(170\) 1.55138 + 1.70462i 0.118986 + 0.130738i
\(171\) 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 \(-0.696961\pi\)
0.928358 0.371688i \(-0.121221\pi\)
\(174\) −6.51440 14.2645i −0.493855 1.08139i
\(175\) −1.08781 22.2992i −0.0822305 1.68566i
\(176\) −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 \(0.968124\pi\)
\(180\) −0.423663 + 3.56065i −0.0315779 + 0.265395i
\(181\) −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
\(190\) 1.79768 + 5.61255i 0.130417 + 0.407177i
\(191\) −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 −0.822952 0.568112i \(-0.807674\pi\)
−0.949672 + 0.313247i \(0.898583\pi\)
\(194\) 2.10195 + 4.60264i 0.150912 + 0.330450i
\(195\) 19.9030 13.4873i 1.42528 0.965847i
\(196\) −12.4135 3.64494i −0.886680 0.260353i
\(197\) −9.46829 + 4.32402i −0.674588 + 0.308074i −0.723095 0.690749i \(-0.757281\pi\)
0.0485069 + 0.998823i \(0.484554\pi\)
\(198\) 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 \(0.278132\pi\)
\(200\) −1.17324 + 4.86040i −0.0829604 + 0.343682i
\(201\) −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
\(205\) −2.34356 + 5.48138i −0.163681 + 0.382836i
\(206\) 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
\(210\) −0.522053 21.4161i −0.0360251 1.47785i
\(211\) 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
\(215\) 23.2716 3.92701i 1.58711 0.267820i
\(216\) 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
\(220\) 6.10804 + 1.63290i 0.411804 + 0.110090i
\(221\) 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 0.863932 0.503609i \(-0.167995\pi\)
0.185153 + 0.982710i \(0.440722\pi\)
\(224\) 3.75632 + 2.41404i 0.250980 + 0.161295i
\(225\) 7.57403 2.63110i 0.504935 0.175407i
\(226\) −12.5436 + 8.06130i −0.834390 + 0.536230i
\(227\) 8.90509 7.71631i 0.591052 0.512149i −0.307192 0.951648i \(-0.599389\pi\)
0.898243 + 0.439498i \(0.144844\pi\)
\(228\) 1.59319 + 5.42592i 0.105512 + 0.359340i
\(229\) 6.65247 0.439607 0.219804 0.975544i \(-0.429458\pi\)
0.219804 + 0.975544i \(0.429458\pi\)
\(230\) 9.98504 3.91139i 0.658394 0.257909i
\(231\) −27.0889 −1.78232
\(232\) −2.05911 7.01270i −0.135187 0.460406i
\(233\) 12.4111 10.7543i 0.813078 0.704536i −0.145503 0.989358i \(-0.546480\pi\)
0.958580 + 0.284822i \(0.0919345\pi\)
\(234\) 6.76032 4.34459i 0.441936 0.284015i
\(235\) −11.0762 + 18.1951i −0.722533 + 1.18692i
\(236\) 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 \(-0.0667732\pi\)
\(240\) −1.23909 + 4.63494i −0.0799828 + 0.299184i
\(241\) 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
\(245\) 4.81366 + 28.5260i 0.307534 + 1.82246i
\(246\) −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
\(250\) 10.9207 2.39529i 0.690688 0.151492i
\(251\) −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
\(255\) 1.94415 4.54720i 0.121747 0.284757i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −7.22143 11.2368i −0.450460 0.700930i 0.539545 0.841956i \(-0.318596\pi\)
−0.990006 + 0.141026i \(0.954960\pi\)
\(258\) 22.4153 3.22284i 1.39552 0.200645i
\(259\) −20.1373 12.9415i −1.25127 0.804145i
\(260\) 10.0764 4.90191i 0.624909 0.304004i
\(261\) −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 −0.571690 0.820470i \(-0.693712\pi\)
0.245693 + 0.969348i \(0.420985\pi\)
\(264\) 5.82099 + 1.70920i 0.358257 + 0.105194i
\(265\) −8.45502 12.4769i −0.519388 0.766450i
\(266\) −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 \(0.116866\pi\)
\(270\) −6.38023 + 2.04356i −0.388288 + 0.124367i
\(271\) −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 \(0.165822\pi\)
−0.867349 + 0.497700i \(0.834178\pi\)
\(278\) 5.50555 + 18.7502i 0.330201 + 1.12456i
\(279\) 1.94226 + 2.24149i 0.116280 + 0.134194i
\(280\) 1.17967 9.91445i 0.0704986 0.592502i
\(281\) 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 0.986937 0.161105i \(-0.0515058\pi\)
0.524551 + 0.851379i \(0.324233\pi\)
\(284\) −3.92504 + 4.52973i −0.232908 + 0.268790i
\(285\) 9.35176 8.51109i 0.553951 0.504153i
\(286\) −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
\(290\) −12.0866 + 11.0001i −0.709752 + 0.645949i
\(291\) 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 \(0.431500\pi\)
−0.977359 + 0.211588i \(0.932137\pi\)
\(294\) 3.95050 + 27.4763i 0.230398 + 1.60245i
\(295\) 2.33929 19.6605i 0.136199 1.14468i
\(296\) 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
\(305\) 3.13051 1.00269i 0.179252 0.0574138i
\(306\) 0.686664 1.50358i 0.0392540 0.0859542i
\(307\) −1.10648 0.958774i −0.0631504 0.0547201i 0.622714 0.782450i \(-0.286030\pi\)
−0.685864 + 0.727730i \(0.740576\pi\)
\(308\) −12.4968 1.79677i −0.712072 0.102381i
\(309\) −3.61163 7.90837i −0.205459 0.449892i
\(310\) 2.32004 + 3.42363i 0.131769 + 0.194449i
\(311\) −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 0.922133 0.386872i \(-0.126445\pi\)
0.775786 + 0.630996i \(0.217354\pi\)
\(314\) 1.75303 2.02311i 0.0989294 0.114171i
\(315\) −14.3977 + 7.00415i −0.811218 + 0.394639i
\(316\) −9.94258 6.38971i −0.559314 0.359449i
\(317\) −26.8501 + 3.86046i −1.50805 + 0.216825i −0.846222 0.532831i \(-0.821128\pi\)
−0.661828 + 0.749656i \(0.730219\pi\)
\(318\) −7.81878 12.1663i −0.438456 0.682250i
\(319\) 13.5331 + 15.6181i 0.757711 + 0.874445i
\(320\) −0.879053 + 2.05603i −0.0491406 + 0.114936i
\(321\) 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
\(325\) −19.7131 15.4661i −1.09349 0.857906i
\(326\) −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
\(330\) −2.25724 13.3765i −0.124257 0.736354i
\(331\) 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
\(335\) −8.09700 + 30.2877i −0.442386 + 1.65479i
\(336\) 1.36344 9.48292i 0.0743816 0.517336i
\(337\) 17.9010 + 15.5113i 0.975130 + 0.844955i 0.987920 0.154963i \(-0.0495259\pi\)
−0.0127901 + 0.999918i \(0.504071\pi\)
\(338\) −11.0178 5.03164i −0.599287 0.273685i
\(339\) 26.9136 + 17.2963i 1.46175 + 0.939408i
\(340\) 1.19850 1.96879i 0.0649975 0.106773i
\(341\) 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
\(345\) −16.5337 16.0016i −0.890144 0.861497i
\(346\) −16.2618 −0.874240
\(347\) −3.76003 12.8055i −0.201849 0.687435i −0.996740 0.0806824i \(-0.974290\pi\)
0.794891 0.606753i \(-0.207528\pi\)
\(348\) −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 \(0.990030\pi\)
\(350\) −21.0895 + 7.32617i −1.12728 + 0.391600i
\(351\) 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 0.278179 0.960529i \(-0.410269\pi\)
−0.911164 + 0.412045i \(0.864815\pi\)
\(354\) 2.70371 18.8047i 0.143701 0.999460i
\(355\) 12.9476 + 3.46137i 0.687188 + 0.183710i
\(356\) −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 \(0.993482\pi\)
\(360\) 3.53578 0.596649i 0.186352 0.0314462i
\(361\) −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
\(365\) −0.0318090 1.30490i −0.00166496 0.0683015i
\(366\) 3.02641 0.888633i 0.158193 0.0464496i
\(367\) 8.40662i 0.438822i −0.975633 0.219411i \(-0.929586\pi\)
0.975633 0.219411i \(-0.0704136\pi\)
\(368\) 4.69426 0.981817i 0.244705 0.0511808i
\(369\) 4.27521 0.222558
\(370\) 4.71253 11.0222i 0.244993 0.573018i
\(371\) 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 −0.661767 0.749709i \(-0.730193\pi\)
−0.423743 + 0.905782i \(0.639284\pi\)
\(374\) −2.45188 1.57573i −0.126784 0.0814788i
\(375\) −14.4087 19.1791i −0.744063 0.990406i
\(376\) −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 \(0.616571\pi\)
\(380\) 4.87874 3.30610i 0.250274 0.169599i
\(381\) −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 0.997247 0.0741504i \(-0.0236245\pi\)
0.0685274 + 0.997649i \(0.478170\pi\)
\(384\) −0.891315 + 1.95171i −0.0454847 + 0.0995976i
\(385\) 8.61136 + 26.8857i 0.438876 + 1.37022i
\(386\) 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
\(395\) −3.12245 + 26.2425i −0.157107 + 1.32040i
\(396\) −0.645288 4.48807i −0.0324269 0.225534i
\(397\) −1.19416 + 1.85815i −0.0599330 + 0.0932576i −0.869927 0.493181i \(-0.835834\pi\)
0.809994 + 0.586439i \(0.199470\pi\)
\(398\) 4.08316 + 1.86472i 0.204670 + 0.0934698i
\(399\) −16.5355 + 19.0829i −0.827809 + 0.955342i
\(400\) 4.99406 0.243622i 0.249703 0.0121811i
\(401\) 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
\(405\) 16.9158 + 18.5866i 0.840552 + 0.923576i
\(406\) 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 \(0.974975\pi\)
\(410\) 5.91960 + 0.704342i 0.292348 + 0.0347850i
\(411\) 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 \(-0.155984\pi\)
\(420\) −20.4016 + 6.53453i −0.995494 + 0.318852i
\(421\) −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
\(425\) −5.13111 0.484040i −0.248895 0.0234794i
\(426\) 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
\(430\) −10.3243 21.2226i −0.497883 1.02345i
\(431\) −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 0.903389 0.428822i \(-0.141071\pi\)
−0.765352 + 0.643612i \(0.777435\pi\)
\(434\) −5.40813 6.24131i −0.259599 0.299593i
\(435\) 32.2420 + 13.7850i 1.54589 + 0.660941i
\(436\) 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 \(0.240579\pi\)
\(440\) −0.154076 6.32066i −0.00734530 0.301326i
\(441\) 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 −0.855817 0.517278i \(-0.826945\pi\)
0.826052 + 0.563594i \(0.190582\pi\)
\(444\) 4.77827 10.4629i 0.226766 0.496549i
\(445\) 0.456418 + 2.70476i 0.0216363 + 0.128218i
\(446\) 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 \(0.866155\pi\)
\(450\) −4.65837 6.52596i −0.219598 0.307637i
\(451\) 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
\(455\) 42.7379 + 26.0166i 2.00359 + 1.21968i
\(456\) 4.75727 3.05731i 0.222780 0.143172i
\(457\) 0.141553 0.122656i 0.00662156 0.00573761i −0.651544 0.758611i \(-0.725878\pi\)
0.658165 + 0.752874i \(0.271333\pi\)
\(458\) −1.87422 6.38300i −0.0875764 0.298258i
\(459\) 3.08833 0.144151
\(460\) −6.56606 8.47861i −0.306144 0.395317i
\(461\) 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 −0.790098 0.612981i \(-0.789970\pi\)
0.494299 + 0.869292i \(0.335425\pi\)
\(464\) −6.14851 + 3.95141i −0.285438 + 0.183440i
\(465\) 4.61405 7.57957i 0.213971 0.351494i
\(466\) −13.8153 8.87853i −0.639979 0.411290i
\(467\) 34.1117 + 15.5783i 1.57850 + 0.720878i 0.995778 0.0917915i \(-0.0292593\pi\)
0.582725 + 0.812670i \(0.301987\pi\)
\(468\) −6.07321 5.26247i −0.280734 0.243258i
\(469\) 8.90958 61.9675i 0.411406 2.86139i
\(470\) 20.5786 + 5.50140i 0.949219 + 0.253761i
\(471\) −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
\(475\) −11.4201 6.57599i −0.523990 0.301727i
\(476\) −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 \(0.327937\pi\)
\(480\) 4.79628 0.116917i 0.218919 0.00533652i
\(481\) −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
\(485\) −10.4033 4.44791i −0.472389 0.201969i
\(486\) 9.90585 + 11.4320i 0.449338 + 0.518564i
\(487\) −11.4246 17.7771i −0.517699 0.805556i 0.479715 0.877424i \(-0.340740\pi\)
−0.997414 + 0.0718687i \(0.977104\pi\)
\(488\) 1.45510 0.209212i 0.0658694 0.00947059i
\(489\) 14.5642 + 9.35983i 0.658615 + 0.423266i
\(490\) 26.0144 12.6554i 1.17521 0.571712i
\(491\) 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
\(495\) −8.39322 + 5.68770i −0.377247 + 0.255643i
\(496\) 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 \(0.0698023\pi\)
\(500\) −5.37499 9.80354i −0.240377 0.438428i
\(501\) −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 −0.854434 0.519559i \(-0.826096\pi\)
0.392672 + 0.919678i \(0.371551\pi\)
\(504\) −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 \(0.727298\pi\)
\(510\) −4.91074 0.584302i −0.217451 0.0258733i
\(511\) 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
\(515\) −6.70093 + 6.09855i −0.295278 + 0.268734i
\(516\) −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
\(520\) −7.54219 8.28716i −0.330747 0.363416i
\(521\) 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 −0.752123 0.659023i \(-0.770970\pi\)
0.911911 + 0.410387i \(0.134606\pi\)
\(524\) −3.11856 21.6901i −0.136235 0.947536i
\(525\) 33.0959 + 34.6306i 1.44442 + 1.51140i
\(526\) 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
\(535\) −3.37676 10.5426i −0.145990 0.455798i
\(536\) −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
\(540\) 3.75830 + 5.54604i 0.161731 + 0.238664i
\(541\) 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
\(545\) −0.983365 2.02140i −0.0421227 0.0865873i
\(546\) 40.3883 + 25.9560i 1.72846 + 1.11081i
\(547\) 19.2693 2.77050i 0.823894 0.118458i 0.282543 0.959255i \(-0.408822\pi\)
0.541351 + 0.840797i \(0.317913\pi\)
\(548\) 4.46408 + 6.94625i 0.190696 + 0.296729i
\(549\) −1.54377 1.78160i −0.0658865 0.0760370i
\(550\) −12.5586 + 6.49260i −0.535501 + 0.276845i
\(551\) 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
\(555\) −25.7125 + 0.626784i −1.09143 + 0.0266055i
\(556\) 16.4396 10.5651i 0.697193 0.448059i
\(557\) 5.91272 0.850120i 0.250530 0.0360207i −0.0159057 0.999873i \(-0.505063\pi\)
0.266436 + 0.963853i \(0.414154\pi\)
\(558\) 1.60349 2.49509i 0.0678813 0.105625i
\(559\) −21.9718 + 48.1114i −0.929306 + 2.03490i
\(560\) −9.84519 + 1.66134i −0.416035 + 0.0702045i
\(561\) −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 \(-0.598155\pi\)
0.770459 0.637490i \(-0.220027\pi\)
\(564\) 19.6115 + 5.75846i 0.825793 + 0.242475i
\(565\) 8.61092 32.2101i 0.362264 1.35509i
\(566\) 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 \(0.821712\pi\)
\(570\) −10.8010 6.57510i −0.452405 0.275401i
\(571\) 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
\(575\) −10.6256 + 21.4964i −0.443118 + 0.896463i
\(576\) 1.60360 0.0668168
\(577\) −3.02905 10.3160i −0.126101 0.429461i 0.872106 0.489317i \(-0.162754\pi\)
−0.998207 + 0.0598564i \(0.980936\pi\)
\(578\) 12.0448 10.4368i 0.500996 0.434115i
\(579\) 44.9070 28.8600i 1.86627 1.19938i
\(580\) 13.9597 + 8.49796i 0.579646 + 0.352858i
\(581\) 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
\(585\) −4.64081 + 17.3594i −0.191874 + 0.717724i
\(586\) 23.2036 + 6.81320i 0.958533 + 0.281451i
\(587\) 0.463798 1.57955i 0.0191430 0.0651951i −0.949368 0.314167i \(-0.898275\pi\)
0.968511 + 0.248972i \(0.0800928\pi\)
\(588\) 25.2504 11.5315i 1.04131 0.475549i
\(589\) 0.693736 4.82504i 0.0285849 0.198812i
\(590\) −19.5231 + 3.29446i −0.803755 + 0.135631i
\(591\) 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 −0.708229 0.705983i \(-0.750506\pi\)
−0.480643 + 0.876917i \(0.659597\pi\)
\(594\) 7.12675 4.58008i 0.292414 0.187923i
\(595\) 10.2886 0.250802i 0.421793 0.0102819i
\(596\) 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 \(0.328750\pi\)
\(600\) −4.92676 9.52980i −0.201134 0.389053i
\(601\) 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
\(605\) −2.93955 6.04253i −0.119510 0.245664i
\(606\) −11.3545 + 13.1038i −0.461245 + 0.532305i
\(607\) −27.7696 3.99267i −1.12714 0.162058i −0.446573 0.894747i \(-0.647356\pi\)
−0.680563 + 0.732690i \(0.738265\pi\)
\(608\) 2.39744 1.09488i 0.0972291 0.0444030i
\(609\) −67.1847 19.7272i −2.72246 0.799387i
\(610\) −1.84404 2.72121i −0.0746629 0.110179i
\(611\) −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 0.863509 0.504334i \(-0.168262\pi\)
−0.376311 + 0.926494i \(0.622807\pi\)
\(614\) −0.608205 + 1.33178i −0.0245451 + 0.0537464i
\(615\) −3.90156 12.1811i −0.157326 0.491190i
\(616\) 1.79677 + 12.4968i 0.0723940 + 0.503511i
\(617\) 5.67040 + 8.82331i 0.228282 + 0.355213i 0.936432 0.350848i \(-0.114107\pi\)
−0.708151 + 0.706061i \(0.750470\pi\)
\(618\) −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
\(625\) −14.4548 + 20.3975i −0.578192 + 0.815901i
\(626\) −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
\(630\) 10.7767 + 11.8412i 0.429355 + 0.471764i
\(631\) −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
\(635\) −8.15164 + 7.41885i −0.323488 + 0.294408i
\(636\) −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
\(640\) 2.22041 + 0.264194i 0.0877692 + 0.0104432i
\(641\) 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 \(0.261412\pi\)
−0.681306 + 0.731999i \(0.738588\pi\)
\(644\) 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 \(0.585865\pi\)
−0.991952 + 0.126611i \(0.959590\pi\)
\(648\) 6.07641 + 9.45507i 0.238704 + 0.371430i
\(649\) 3.56302 + 24.7813i 0.139861 + 0.972753i
\(650\) −9.28580 + 23.2719i −0.364219 + 0.912800i
\(651\) −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 0.218143 0.975917i \(-0.430000\pi\)
−0.0656408 + 0.997843i \(0.520909\pi\)
\(654\) −0.896032 1.96204i −0.0350376 0.0767217i
\(655\) −40.5630 + 27.4877i −1.58493 + 1.07403i
\(656\) 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 \(0.860919\pi\)
\(660\) −12.1987 + 5.93441i −0.474836 + 0.230997i
\(661\) −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
\(665\) 24.1963 + 10.3451i 0.938291 + 0.401165i
\(666\) −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
\(670\) 31.3420 0.764013i 1.21085 0.0295164i
\(671\) −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 \(-0.469664\pi\)
0.865974 0.500089i \(-0.166699\pi\)
\(674\) 9.83970 21.5459i 0.379011 0.829918i
\(675\) 7.47543 12.9821i 0.287730 0.499681i
\(676\) −1.72376 + 11.9890i −0.0662986 + 0.461117i
\(677\) −18.3180 + 8.36555i −0.704018 + 0.321514i −0.735058 0.678004i \(-0.762845\pi\)
0.0310404 + 0.999518i \(0.490118\pi\)
\(678\) 9.01326 30.6964i 0.346152 1.17889i
\(679\) 21.6780 + 6.36524i 0.831925 + 0.244275i
\(680\) −2.22669 0.595276i −0.0853898 0.0228278i
\(681\) −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 0.733390 0.679809i \(-0.237937\pi\)
−0.0334969 + 0.999439i \(0.510664\pi\)
\(684\) −3.55554 2.28501i −0.135950 0.0873695i
\(685\) 9.60052 15.7709i 0.366817 0.602576i
\(686\) −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
\(690\) −10.6953 + 20.3721i −0.407165 + 0.775554i
\(691\) 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
\(695\) −37.3248 22.7214i −1.41581 0.861871i
\(696\) 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
\(700\) 12.9710 + 18.1712i 0.490258 + 0.686807i
\(701\) −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
\(705\) −7.60487 45.0668i −0.286416 1.69732i
\(706\) −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 \(0.438204\pi\)
\(710\) −0.326606 13.3983i −0.0122573 0.502830i
\(711\) 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
\(715\) 29.1326 + 12.4556i 1.08950 + 0.465813i
\(716\) 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 \(0.661190\pi\)
\(720\) −1.56862 3.22446i −0.0584592 0.120168i
\(721\) 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
\(725\) 3.43210 36.3822i 0.127465 1.35120i
\(726\) −2.67849 5.86508i −0.0994082 0.217674i
\(727\) 8.07215 + 1.16060i 0.299379 + 0.0430443i 0.290368 0.956915i \(-0.406222\pi\)
0.00901164 + 0.999959i \(0.497131\pi\)
\(728\) 16.9105 + 14.6531i 0.626747 + 0.543079i
\(729\) −0.524277 + 1.14801i −0.0194177 + 0.0425188i
\(730\) −1.24308 + 0.398153i −0.0460084 + 0.0147363i
\(731\) 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 \(0.667918\pi\)
−0.926900 + 0.375309i \(0.877537\pi\)
\(734\) −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 \(0.910700\pi\)
\(740\) −11.9034 1.41632i −0.437578 0.0520651i
\(741\) 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 −0.580242 0.814444i \(-0.697042\pi\)
−0.995494 + 0.0948296i \(0.969769\pi\)
\(744\) 2.59872 2.99908i 0.0952738 0.109952i
\(745\) −0.799388 0.878347i −0.0292873 0.0321802i
\(746\) 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
\(750\) −14.3428 + 19.2285i −0.523726 + 0.702124i
\(751\) 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
\(755\) 2.22843 18.7287i 0.0811009 0.681609i
\(756\) −8.76079 10.1105i −0.318627 0.367715i
\(757\) 8.67318 + 29.5381i 0.315232 + 1.07358i 0.952904 + 0.303274i \(0.0980796\pi\)
−0.637671 + 0.770308i \(0.720102\pi\)
\(758\) 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
\(765\) 1.12743 + 3.51998i 0.0407625 + 0.127265i
\(766\) 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 \(0.895405\pi\)
\(770\) 23.3705 15.8371i 0.842215 0.570730i
\(771\) 27.4983 + 8.07422i 0.990325 + 0.290786i
\(772\) 22.6310 10.3352i 0.814508 0.371973i
\(773\)