Properties

Label 370.2.v.a.289.3
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.3
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.a.169.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(-0.691797 + 1.90070i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.64652 + 1.51294i) q^{5} -2.02268i q^{6} +(-2.30206 + 0.405916i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.835934 - 0.701432i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(-0.691797 + 1.90070i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.64652 + 1.51294i) q^{5} -2.02268i q^{6} +(-2.30206 + 0.405916i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.835934 - 0.701432i) q^{9} +(-2.06467 - 0.858556i) q^{10} +(-2.82024 + 4.88479i) q^{11} +(0.691797 + 1.90070i) q^{12} +(3.98903 - 3.34720i) q^{13} +(2.02440 - 1.16879i) q^{14} +(-4.01470 + 2.08288i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-0.926095 - 0.777086i) q^{17} +(1.02543 + 0.373224i) q^{18} +(-1.34363 + 3.69159i) q^{19} +(2.23380 + 0.100618i) q^{20} +(0.821038 - 4.65634i) q^{21} +(0.979457 - 5.55478i) q^{22} +(-0.958088 - 1.65946i) q^{23} +(-1.30015 - 1.54946i) q^{24} +(0.422031 + 4.98216i) q^{25} +(-2.60366 + 4.50967i) q^{26} +(-3.34357 + 1.93041i) q^{27} +(-1.50256 + 1.79069i) q^{28} +(-0.455623 - 0.263054i) q^{29} +(3.06019 - 3.33038i) q^{30} -9.66606i q^{31} +(0.173648 + 0.984808i) q^{32} +(-7.33348 - 8.73970i) q^{33} +(1.13602 + 0.413479i) q^{34} +(-4.40451 - 2.81453i) q^{35} -1.09123 q^{36} +(-5.96951 + 1.16831i) q^{37} -3.92850i q^{38} +(3.60241 + 9.89753i) q^{39} +(-2.13350 + 0.669455i) q^{40} +(-7.68393 + 6.44758i) q^{41} +(0.821038 + 4.65634i) q^{42} +0.375668 q^{43} +(0.979457 + 5.55478i) q^{44} +(-0.315155 - 2.41964i) q^{45} +(1.46788 + 1.23169i) q^{46} +(0.377481 - 0.217939i) q^{47} +(1.75169 + 1.01134i) q^{48} +(-1.44312 + 0.525254i) q^{49} +(-2.10058 - 4.53735i) q^{50} +(2.11768 - 1.22264i) q^{51} +(0.904241 - 5.12820i) q^{52} +(12.1020 + 2.13392i) q^{53} +(2.48169 - 2.95756i) q^{54} +(-12.0340 + 3.77604i) q^{55} +(0.799498 - 2.19660i) q^{56} +(-6.08707 - 5.10766i) q^{57} +(0.518115 + 0.0913577i) q^{58} +(14.5104 + 2.55858i) q^{59} +(-1.73658 + 4.17618i) q^{60} +(-2.21786 - 2.64314i) q^{61} +(3.30599 + 9.08312i) q^{62} +(2.20910 + 1.27542i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(11.6321 + 0.523951i) q^{65} +(9.88037 + 5.70443i) q^{66} +(9.61386 - 1.69518i) q^{67} -1.20893 q^{68} +(3.81693 - 0.673028i) q^{69} +(5.10151 + 1.13837i) q^{70} +(3.37890 + 1.22982i) q^{71} +(1.02543 - 0.373224i) q^{72} +13.4857i q^{73} +(5.20992 - 3.13954i) q^{74} +(-9.76153 - 2.64449i) q^{75} +(1.34363 + 3.69159i) q^{76} +(4.50954 - 12.3899i) q^{77} +(-6.77031 - 8.06854i) q^{78} +(7.01369 - 1.23670i) q^{79} +(1.77587 - 1.35878i) q^{80} +(-1.92453 - 10.9145i) q^{81} +(5.01533 - 8.68680i) q^{82} +(-5.25578 + 6.26360i) q^{83} +(-2.36408 - 4.09471i) q^{84} +(-0.349147 - 2.68061i) q^{85} +(-0.353013 + 0.128486i) q^{86} +(0.815185 - 0.684021i) q^{87} +(-2.82024 - 4.88479i) q^{88} +(5.45354 + 0.961607i) q^{89} +(1.12371 + 2.16593i) q^{90} +(-7.82433 + 9.32467i) q^{91} +(-1.80062 - 0.655371i) q^{92} +(18.3723 + 6.68695i) q^{93} +(-0.280176 + 0.333901i) q^{94} +(-7.79745 + 4.04543i) q^{95} +(-1.99195 - 0.351235i) q^{96} +(-0.929193 - 1.60941i) q^{97} +(1.17645 - 0.987155i) q^{98} +(5.78388 - 2.10516i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) −0.691797 + 1.90070i −0.399409 + 1.09737i 0.563164 + 0.826345i \(0.309584\pi\)
−0.962573 + 0.271023i \(0.912638\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 1.64652 + 1.51294i 0.736344 + 0.676607i
\(6\) 2.02268i 0.825756i
\(7\) −2.30206 + 0.405916i −0.870098 + 0.153422i −0.590834 0.806793i \(-0.701201\pi\)
−0.279263 + 0.960215i \(0.590090\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −0.835934 0.701432i −0.278645 0.233811i
\(10\) −2.06467 0.858556i −0.652907 0.271499i
\(11\) −2.82024 + 4.88479i −0.850333 + 1.47282i 0.0305753 + 0.999532i \(0.490266\pi\)
−0.880908 + 0.473287i \(0.843067\pi\)
\(12\) 0.691797 + 1.90070i 0.199705 + 0.548684i
\(13\) 3.98903 3.34720i 1.10636 0.928345i 0.108523 0.994094i \(-0.465388\pi\)
0.997836 + 0.0657485i \(0.0209435\pi\)
\(14\) 2.02440 1.16879i 0.541044 0.312372i
\(15\) −4.01470 + 2.08288i −1.03659 + 0.537798i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −0.926095 0.777086i −0.224611 0.188471i 0.523537 0.852003i \(-0.324612\pi\)
−0.748148 + 0.663532i \(0.769057\pi\)
\(18\) 1.02543 + 0.373224i 0.241695 + 0.0879698i
\(19\) −1.34363 + 3.69159i −0.308249 + 0.846908i 0.684749 + 0.728779i \(0.259912\pi\)
−0.992998 + 0.118129i \(0.962310\pi\)
\(20\) 2.23380 + 0.100618i 0.499494 + 0.0224989i
\(21\) 0.821038 4.65634i 0.179165 1.01610i
\(22\) 0.979457 5.55478i 0.208821 1.18428i
\(23\) −0.958088 1.65946i −0.199775 0.346021i 0.748680 0.662931i \(-0.230688\pi\)
−0.948455 + 0.316910i \(0.897355\pi\)
\(24\) −1.30015 1.54946i −0.265393 0.316283i
\(25\) 0.422031 + 4.98216i 0.0844062 + 0.996431i
\(26\) −2.60366 + 4.50967i −0.510619 + 0.884418i
\(27\) −3.34357 + 1.93041i −0.643470 + 0.371508i
\(28\) −1.50256 + 1.79069i −0.283958 + 0.338408i
\(29\) −0.455623 0.263054i −0.0846070 0.0488479i 0.457100 0.889416i \(-0.348888\pi\)
−0.541707 + 0.840568i \(0.682222\pi\)
\(30\) 3.06019 3.33038i 0.558712 0.608041i
\(31\) 9.66606i 1.73608i −0.496499 0.868038i \(-0.665381\pi\)
0.496499 0.868038i \(-0.334619\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) −7.33348 8.73970i −1.27659 1.52139i
\(34\) 1.13602 + 0.413479i 0.194826 + 0.0709110i
\(35\) −4.40451 2.81453i −0.744498 0.475743i
\(36\) −1.09123 −0.181872
\(37\) −5.96951 + 1.16831i −0.981382 + 0.192068i
\(38\) 3.92850i 0.637288i
\(39\) 3.60241 + 9.89753i 0.576847 + 1.58487i
\(40\) −2.13350 + 0.669455i −0.337336 + 0.105850i
\(41\) −7.68393 + 6.44758i −1.20003 + 1.00694i −0.200399 + 0.979714i \(0.564224\pi\)
−0.999629 + 0.0272284i \(0.991332\pi\)
\(42\) 0.821038 + 4.65634i 0.126689 + 0.718488i
\(43\) 0.375668 0.0572889 0.0286444 0.999590i \(-0.490881\pi\)
0.0286444 + 0.999590i \(0.490881\pi\)
\(44\) 0.979457 + 5.55478i 0.147659 + 0.837414i
\(45\) −0.315155 2.41964i −0.0469806 0.360698i
\(46\) 1.46788 + 1.23169i 0.216427 + 0.181603i
\(47\) 0.377481 0.217939i 0.0550612 0.0317896i −0.472217 0.881483i \(-0.656546\pi\)
0.527278 + 0.849693i \(0.323213\pi\)
\(48\) 1.75169 + 1.01134i 0.252835 + 0.145974i
\(49\) −1.44312 + 0.525254i −0.206161 + 0.0750363i
\(50\) −2.10058 4.53735i −0.297067 0.641679i
\(51\) 2.11768 1.22264i 0.296534 0.171204i
\(52\) 0.904241 5.12820i 0.125396 0.711154i
\(53\) 12.1020 + 2.13392i 1.66234 + 0.293116i 0.924308 0.381647i \(-0.124643\pi\)
0.738034 + 0.674763i \(0.235754\pi\)
\(54\) 2.48169 2.95756i 0.337715 0.402473i
\(55\) −12.0340 + 3.77604i −1.62266 + 0.509161i
\(56\) 0.799498 2.19660i 0.106837 0.293533i
\(57\) −6.08707 5.10766i −0.806252 0.676526i
\(58\) 0.518115 + 0.0913577i 0.0680318 + 0.0119958i
\(59\) 14.5104 + 2.55858i 1.88910 + 0.333099i 0.993691 0.112152i \(-0.0357742\pi\)
0.895406 + 0.445250i \(0.146885\pi\)
\(60\) −1.73658 + 4.17618i −0.224192 + 0.539142i
\(61\) −2.21786 2.64314i −0.283968 0.338420i 0.605139 0.796120i \(-0.293118\pi\)
−0.889107 + 0.457700i \(0.848673\pi\)
\(62\) 3.30599 + 9.08312i 0.419861 + 1.15356i
\(63\) 2.20910 + 1.27542i 0.278320 + 0.160688i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 11.6321 + 0.523951i 1.44279 + 0.0649882i
\(66\) 9.88037 + 5.70443i 1.21619 + 0.702167i
\(67\) 9.61386 1.69518i 1.17452 0.207099i 0.447864 0.894102i \(-0.352185\pi\)
0.726655 + 0.687002i \(0.241074\pi\)
\(68\) −1.20893 −0.146604
\(69\) 3.81693 0.673028i 0.459504 0.0810230i
\(70\) 5.10151 + 1.13837i 0.609747 + 0.136061i
\(71\) 3.37890 + 1.22982i 0.401001 + 0.145953i 0.534645 0.845077i \(-0.320445\pi\)
−0.133643 + 0.991029i \(0.542668\pi\)
\(72\) 1.02543 0.373224i 0.120848 0.0439849i
\(73\) 13.4857i 1.57838i 0.614149 + 0.789190i \(0.289500\pi\)
−0.614149 + 0.789190i \(0.710500\pi\)
\(74\) 5.20992 3.13954i 0.605641 0.364964i
\(75\) −9.76153 2.64449i −1.12716 0.305359i
\(76\) 1.34363 + 3.69159i 0.154125 + 0.423454i
\(77\) 4.50954 12.3899i 0.513910 1.41196i
\(78\) −6.77031 8.06854i −0.766587 0.913582i
\(79\) 7.01369 1.23670i 0.789102 0.139140i 0.235448 0.971887i \(-0.424344\pi\)
0.553654 + 0.832747i \(0.313233\pi\)
\(80\) 1.77587 1.35878i 0.198548 0.151917i
\(81\) −1.92453 10.9145i −0.213836 1.21273i
\(82\) 5.01533 8.68680i 0.553850 0.959297i
\(83\) −5.25578 + 6.26360i −0.576897 + 0.687519i −0.973031 0.230674i \(-0.925907\pi\)
0.396134 + 0.918193i \(0.370352\pi\)
\(84\) −2.36408 4.09471i −0.257943 0.446770i
\(85\) −0.349147 2.68061i −0.0378703 0.290753i
\(86\) −0.353013 + 0.128486i −0.0380663 + 0.0138550i
\(87\) 0.815185 0.684021i 0.0873970 0.0733348i
\(88\) −2.82024 4.88479i −0.300638 0.520720i
\(89\) 5.45354 + 0.961607i 0.578075 + 0.101930i 0.455038 0.890472i \(-0.349626\pi\)
0.123037 + 0.992402i \(0.460737\pi\)
\(90\) 1.12371 + 2.16593i 0.118450 + 0.228309i
\(91\) −7.82433 + 9.32467i −0.820212 + 0.977491i
\(92\) −1.80062 0.655371i −0.187727 0.0683271i
\(93\) 18.3723 + 6.68695i 1.90511 + 0.693405i
\(94\) −0.280176 + 0.333901i −0.0288980 + 0.0344393i
\(95\) −7.79745 + 4.04543i −0.800002 + 0.415052i
\(96\) −1.99195 0.351235i −0.203303 0.0358477i
\(97\) −0.929193 1.60941i −0.0943453 0.163411i 0.814990 0.579475i \(-0.196742\pi\)
−0.909335 + 0.416064i \(0.863409\pi\)
\(98\) 1.17645 0.987155i 0.118839 0.0997177i
\(99\) 5.78388 2.10516i 0.581302 0.211577i
\(100\) 3.52576 + 3.54528i 0.352576 + 0.354528i
\(101\) 6.89067 + 11.9350i 0.685647 + 1.18758i 0.973233 + 0.229821i \(0.0738140\pi\)
−0.287586 + 0.957755i \(0.592853\pi\)
\(102\) −1.57180 + 1.87319i −0.155631 + 0.185474i
\(103\) −1.16347 + 2.01519i −0.114640 + 0.198563i −0.917636 0.397422i \(-0.869905\pi\)
0.802996 + 0.595985i \(0.203238\pi\)
\(104\) 0.904241 + 5.12820i 0.0886681 + 0.502862i
\(105\) 8.39660 6.42455i 0.819425 0.626972i
\(106\) −12.1020 + 2.13392i −1.17545 + 0.207264i
\(107\) 3.42800 + 4.08533i 0.331397 + 0.394943i 0.905853 0.423592i \(-0.139231\pi\)
−0.574456 + 0.818535i \(0.694786\pi\)
\(108\) −1.32048 + 3.62799i −0.127063 + 0.349103i
\(109\) 1.17306 + 3.22295i 0.112359 + 0.308703i 0.983109 0.183023i \(-0.0585884\pi\)
−0.870750 + 0.491726i \(0.836366\pi\)
\(110\) 10.0167 7.66417i 0.955058 0.730750i
\(111\) 1.90910 12.1545i 0.181203 1.15365i
\(112\) 2.33758i 0.220880i
\(113\) 10.6199 3.86532i 0.999033 0.363618i 0.209822 0.977740i \(-0.432712\pi\)
0.789212 + 0.614121i \(0.210489\pi\)
\(114\) 7.46690 + 2.71773i 0.699339 + 0.254539i
\(115\) 0.933150 4.18185i 0.0870167 0.389960i
\(116\) −0.518115 + 0.0913577i −0.0481058 + 0.00848235i
\(117\) −5.68240 −0.525338
\(118\) −14.5104 + 2.55858i −1.33579 + 0.235536i
\(119\) 2.44736 + 1.41298i 0.224349 + 0.129528i
\(120\) 0.203519 4.51827i 0.0185786 0.412460i
\(121\) −10.4075 18.0262i −0.946132 1.63875i
\(122\) 2.98812 + 1.72519i 0.270531 + 0.156191i
\(123\) −6.93918 19.0652i −0.625685 1.71905i
\(124\) −6.21322 7.40463i −0.557964 0.664955i
\(125\) −6.84282 + 8.84171i −0.612040 + 0.790827i
\(126\) −2.51209 0.442949i −0.223795 0.0394611i
\(127\) −6.35218 1.12006i −0.563665 0.0993893i −0.115447 0.993314i \(-0.536830\pi\)
−0.448218 + 0.893924i \(0.647941\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) −0.259886 + 0.714032i −0.0228817 + 0.0628670i
\(130\) −11.1098 + 3.48606i −0.974395 + 0.305748i
\(131\) 3.36908 4.01511i 0.294358 0.350802i −0.598515 0.801112i \(-0.704242\pi\)
0.892872 + 0.450310i \(0.148687\pi\)
\(132\) −11.2355 1.98113i −0.977928 0.172435i
\(133\) 1.59464 9.04366i 0.138273 0.784185i
\(134\) −8.45428 + 4.88108i −0.730339 + 0.421661i
\(135\) −8.42583 1.88016i −0.725180 0.161819i
\(136\) 1.13602 0.413479i 0.0974132 0.0354555i
\(137\) 13.6008 + 7.85240i 1.16199 + 0.670876i 0.951780 0.306780i \(-0.0992517\pi\)
0.210211 + 0.977656i \(0.432585\pi\)
\(138\) −3.35655 + 1.93791i −0.285729 + 0.164966i
\(139\) 9.83912 + 8.25600i 0.834543 + 0.700265i 0.956329 0.292291i \(-0.0944177\pi\)
−0.121786 + 0.992556i \(0.538862\pi\)
\(140\) −5.18320 + 0.675106i −0.438060 + 0.0570569i
\(141\) 0.153095 + 0.868246i 0.0128929 + 0.0731195i
\(142\) −3.59575 −0.301748
\(143\) 5.10034 + 28.9255i 0.426512 + 2.41887i
\(144\) −0.835934 + 0.701432i −0.0696612 + 0.0584527i
\(145\) −0.352206 1.12245i −0.0292491 0.0932146i
\(146\) −4.61238 12.6724i −0.381723 1.04878i
\(147\) 3.10631i 0.256204i
\(148\) −3.82194 + 4.73210i −0.314161 + 0.388976i
\(149\) −12.4523 −1.02013 −0.510065 0.860136i \(-0.670379\pi\)
−0.510065 + 0.860136i \(0.670379\pi\)
\(150\) 10.0773 0.853634i 0.822809 0.0696989i
\(151\) −7.13149 2.59565i −0.580352 0.211231i 0.0351286 0.999383i \(-0.488816\pi\)
−0.615481 + 0.788152i \(0.711038\pi\)
\(152\) −2.52519 3.00941i −0.204820 0.244095i
\(153\) 0.229082 + 1.29919i 0.0185201 + 0.105033i
\(154\) 13.1850i 1.06248i
\(155\) 14.6242 15.9153i 1.17464 1.27835i
\(156\) 9.12161 + 5.26637i 0.730313 + 0.421647i
\(157\) 3.27813 3.90673i 0.261624 0.311791i −0.619202 0.785232i \(-0.712544\pi\)
0.880826 + 0.473441i \(0.156988\pi\)
\(158\) −6.16773 + 3.56094i −0.490679 + 0.283293i
\(159\) −12.4281 + 21.5261i −0.985611 + 1.70713i
\(160\) −1.20404 + 1.88422i −0.0951877 + 0.148961i
\(161\) 2.87918 + 3.43127i 0.226911 + 0.270422i
\(162\) 5.54146 + 9.59808i 0.435378 + 0.754097i
\(163\) 0.0934163 0.529790i 0.00731693 0.0414964i −0.980931 0.194358i \(-0.937738\pi\)
0.988248 + 0.152861i \(0.0488488\pi\)
\(164\) −1.74180 + 9.87827i −0.136012 + 0.771363i
\(165\) 1.14794 25.4852i 0.0893671 1.98402i
\(166\) 2.79654 7.68344i 0.217054 0.596351i
\(167\) −5.36695 1.95341i −0.415307 0.151159i 0.125911 0.992041i \(-0.459815\pi\)
−0.541218 + 0.840882i \(0.682037\pi\)
\(168\) 3.62199 + 3.03921i 0.279442 + 0.234480i
\(169\) 2.45124 13.9017i 0.188557 1.06936i
\(170\) 1.24491 + 2.39953i 0.0954805 + 0.184036i
\(171\) 3.71258 2.14346i 0.283908 0.163915i
\(172\) 0.287779 0.241475i 0.0219429 0.0184123i
\(173\) −3.41954 9.39512i −0.259983 0.714298i −0.999168 0.0407947i \(-0.987011\pi\)
0.739184 0.673503i \(-0.235211\pi\)
\(174\) −0.532074 + 0.921579i −0.0403364 + 0.0698647i
\(175\) −2.99388 11.2979i −0.226316 0.854043i
\(176\) 4.32085 + 3.62562i 0.325696 + 0.273292i
\(177\) −14.9014 + 25.8099i −1.12006 + 1.93999i
\(178\) −5.45354 + 0.961607i −0.408760 + 0.0720755i
\(179\) 7.84116i 0.586076i 0.956101 + 0.293038i \(0.0946662\pi\)
−0.956101 + 0.293038i \(0.905334\pi\)
\(180\) −1.79674 1.65097i −0.133921 0.123056i
\(181\) 10.9444 9.18345i 0.813491 0.682600i −0.137947 0.990440i \(-0.544050\pi\)
0.951438 + 0.307839i \(0.0996060\pi\)
\(182\) 4.16324 11.4384i 0.308600 0.847871i
\(183\) 6.55813 2.38696i 0.484791 0.176449i
\(184\) 1.91618 0.141262
\(185\) −11.5965 7.10787i −0.852590 0.522581i
\(186\) −19.5513 −1.43357
\(187\) 6.40771 2.33221i 0.468578 0.170548i
\(188\) 0.149079 0.409591i 0.0108727 0.0298725i
\(189\) 6.91352 5.80113i 0.502885 0.421970i
\(190\) 5.94359 6.46835i 0.431193 0.469263i
\(191\) 14.8514i 1.07461i 0.843388 + 0.537305i \(0.180558\pi\)
−0.843388 + 0.537305i \(0.819442\pi\)
\(192\) 1.99195 0.351235i 0.143757 0.0253482i
\(193\) −11.4984 + 19.9159i −0.827675 + 1.43357i 0.0721828 + 0.997391i \(0.477003\pi\)
−0.899858 + 0.436184i \(0.856330\pi\)
\(194\) 1.42361 + 1.19455i 0.102209 + 0.0857635i
\(195\) −9.04294 + 21.7467i −0.647578 + 1.55731i
\(196\) −0.767870 + 1.32999i −0.0548479 + 0.0949993i
\(197\) 1.12427 + 3.08892i 0.0801012 + 0.220076i 0.973278 0.229629i \(-0.0737513\pi\)
−0.893177 + 0.449705i \(0.851529\pi\)
\(198\) −4.71506 + 3.95641i −0.335085 + 0.281170i
\(199\) 15.0145 8.66864i 1.06435 0.614504i 0.137719 0.990471i \(-0.456023\pi\)
0.926633 + 0.375968i \(0.122690\pi\)
\(200\) −4.52569 2.12559i −0.320015 0.150302i
\(201\) −3.42881 + 19.4458i −0.241850 + 1.37160i
\(202\) −10.5571 8.85847i −0.742796 0.623280i
\(203\) 1.15565 + 0.420622i 0.0811107 + 0.0295219i
\(204\) 0.836335 2.29781i 0.0585552 0.160879i
\(205\) −22.4065 1.00927i −1.56494 0.0704903i
\(206\) 0.404069 2.29159i 0.0281528 0.159663i
\(207\) −0.363098 + 2.05923i −0.0252371 + 0.143127i
\(208\) −2.60366 4.50967i −0.180531 0.312689i
\(209\) −14.2433 16.9745i −0.985228 1.17415i
\(210\) −5.69290 + 8.90891i −0.392847 + 0.614773i
\(211\) −0.967645 + 1.67601i −0.0666155 + 0.115381i −0.897409 0.441199i \(-0.854553\pi\)
0.830794 + 0.556580i \(0.187887\pi\)
\(212\) 10.6424 6.14436i 0.730920 0.421997i
\(213\) −4.67502 + 5.57148i −0.320327 + 0.381751i
\(214\) −4.61853 2.66651i −0.315716 0.182279i
\(215\) 0.618544 + 0.568363i 0.0421843 + 0.0387621i
\(216\) 3.86082i 0.262696i
\(217\) 3.92360 + 22.2519i 0.266352 + 1.51056i
\(218\) −2.20463 2.62737i −0.149316 0.177948i
\(219\) −25.6322 9.32937i −1.73207 0.630420i
\(220\) −6.79135 + 10.6279i −0.457873 + 0.716532i
\(221\) −6.29528 −0.423467
\(222\) 2.36311 + 12.0744i 0.158601 + 0.810381i
\(223\) 4.95986i 0.332137i 0.986114 + 0.166068i \(0.0531072\pi\)
−0.986114 + 0.166068i \(0.946893\pi\)
\(224\) −0.799498 2.19660i −0.0534187 0.146767i
\(225\) 3.14186 4.46078i 0.209457 0.297386i
\(226\) −8.65740 + 7.26442i −0.575881 + 0.483222i
\(227\) −5.01530 28.4432i −0.332877 1.88784i −0.447263 0.894402i \(-0.647601\pi\)
0.114387 0.993436i \(-0.463510\pi\)
\(228\) −7.94611 −0.526244
\(229\) −2.85255 16.1776i −0.188502 1.06905i −0.921373 0.388679i \(-0.872932\pi\)
0.732872 0.680367i \(-0.238179\pi\)
\(230\) 0.553403 + 4.24881i 0.0364903 + 0.280158i
\(231\) 20.4297 + 17.1426i 1.34418 + 1.12790i
\(232\) 0.455623 0.263054i 0.0299131 0.0172703i
\(233\) 1.89989 + 1.09690i 0.124466 + 0.0718603i 0.560940 0.827856i \(-0.310440\pi\)
−0.436475 + 0.899717i \(0.643773\pi\)
\(234\) 5.33971 1.94350i 0.349068 0.127050i
\(235\) 0.951256 + 0.212266i 0.0620531 + 0.0138467i
\(236\) 12.7603 7.36714i 0.830622 0.479560i
\(237\) −2.50145 + 14.1864i −0.162487 + 0.921509i
\(238\) −2.78303 0.490724i −0.180397 0.0318089i
\(239\) −1.14840 + 1.36861i −0.0742837 + 0.0885279i −0.801906 0.597450i \(-0.796181\pi\)
0.727623 + 0.685978i \(0.240625\pi\)
\(240\) 1.35409 + 4.31539i 0.0874064 + 0.278557i
\(241\) 0.823313 2.26203i 0.0530343 0.145710i −0.910347 0.413846i \(-0.864185\pi\)
0.963381 + 0.268135i \(0.0864075\pi\)
\(242\) 15.9451 + 13.3796i 1.02499 + 0.860071i
\(243\) 10.6701 + 1.88143i 0.684488 + 0.120694i
\(244\) −3.39796 0.599152i −0.217532 0.0383568i
\(245\) −3.17080 1.31852i −0.202575 0.0842371i
\(246\) 13.0414 + 15.5421i 0.831489 + 0.990930i
\(247\) 6.99669 + 19.2233i 0.445189 + 1.22315i
\(248\) 8.37105 + 4.83303i 0.531562 + 0.306898i
\(249\) −8.26927 14.3228i −0.524044 0.907670i
\(250\) 3.40610 10.6489i 0.215421 0.673494i
\(251\) −20.6013 11.8942i −1.30034 0.750755i −0.319882 0.947457i \(-0.603643\pi\)
−0.980463 + 0.196703i \(0.936977\pi\)
\(252\) 2.51209 0.442949i 0.158247 0.0279032i
\(253\) 10.8081 0.679502
\(254\) 6.35218 1.12006i 0.398571 0.0702789i
\(255\) 5.33657 + 1.19082i 0.334189 + 0.0745718i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 4.02099 1.46352i 0.250823 0.0912919i −0.213549 0.976932i \(-0.568502\pi\)
0.464372 + 0.885640i \(0.346280\pi\)
\(258\) 0.759857i 0.0473066i
\(259\) 13.2680 5.11263i 0.824431 0.317683i
\(260\) 9.24751 7.07561i 0.573506 0.438811i
\(261\) 0.196356 + 0.539484i 0.0121541 + 0.0333932i
\(262\) −1.79265 + 4.92526i −0.110750 + 0.304284i
\(263\) −4.53287 5.40207i −0.279509 0.333106i 0.607965 0.793964i \(-0.291986\pi\)
−0.887474 + 0.460858i \(0.847542\pi\)
\(264\) 11.2355 1.98113i 0.691500 0.121930i
\(265\) 16.6977 + 21.8232i 1.02573 + 1.34059i
\(266\) 1.59464 + 9.04366i 0.0977738 + 0.554503i
\(267\) −5.60047 + 9.70030i −0.342743 + 0.593649i
\(268\) 6.27500 7.47825i 0.383307 0.456807i
\(269\) 0.840346 + 1.45552i 0.0512368 + 0.0887447i 0.890506 0.454971i \(-0.150350\pi\)
−0.839270 + 0.543716i \(0.817017\pi\)
\(270\) 8.56075 1.11503i 0.520991 0.0678585i
\(271\) 10.5757 3.84922i 0.642425 0.233824i −0.000205054 1.00000i \(-0.500065\pi\)
0.642631 + 0.766176i \(0.277843\pi\)
\(272\) −0.926095 + 0.777086i −0.0561528 + 0.0471178i
\(273\) −12.3105 21.3225i −0.745067 1.29049i
\(274\) −15.4662 2.72711i −0.934348 0.164751i
\(275\) −25.5270 11.9893i −1.53934 0.722983i
\(276\) 2.49132 2.96904i 0.149960 0.178715i
\(277\) 1.81195 + 0.659495i 0.108869 + 0.0396252i 0.395881 0.918302i \(-0.370439\pi\)
−0.287011 + 0.957927i \(0.592662\pi\)
\(278\) −12.0695 4.39293i −0.723879 0.263470i
\(279\) −6.78008 + 8.08019i −0.405913 + 0.483748i
\(280\) 4.63971 2.40715i 0.277276 0.143855i
\(281\) −20.0874 3.54195i −1.19831 0.211295i −0.461344 0.887221i \(-0.652633\pi\)
−0.736969 + 0.675926i \(0.763744\pi\)
\(282\) −0.440820 0.763523i −0.0262504 0.0454671i
\(283\) 15.5023 13.0079i 0.921514 0.773242i −0.0527608 0.998607i \(-0.516802\pi\)
0.974274 + 0.225366i \(0.0723576\pi\)
\(284\) 3.37890 1.22982i 0.200501 0.0729763i
\(285\) −2.29488 17.6192i −0.135937 1.04367i
\(286\) −14.6858 25.4366i −0.868393 1.50410i
\(287\) 15.0717 17.9618i 0.889655 1.06025i
\(288\) 0.545617 0.945037i 0.0321508 0.0556869i
\(289\) −2.69823 15.3024i −0.158719 0.900142i
\(290\) 0.714866 + 0.934298i 0.0419784 + 0.0548639i
\(291\) 3.70182 0.652730i 0.217004 0.0382637i
\(292\) 8.66844 + 10.3306i 0.507282 + 0.604555i
\(293\) 10.2999 28.2986i 0.601724 1.65322i −0.146055 0.989276i \(-0.546658\pi\)
0.747779 0.663947i \(-0.231120\pi\)
\(294\) 1.06242 + 2.91898i 0.0619617 + 0.170238i
\(295\) 20.0207 + 26.1661i 1.16565 + 1.52345i
\(296\) 1.97297 5.75390i 0.114677 0.334439i
\(297\) 21.7768i 1.26362i
\(298\) 11.7013 4.25893i 0.677839 0.246713i
\(299\) −9.37638 3.41272i −0.542250 0.197363i
\(300\) −9.17761 + 4.24880i −0.529870 + 0.245304i
\(301\) −0.864812 + 0.152490i −0.0498469 + 0.00878936i
\(302\) 7.58917 0.436708
\(303\) −27.4517 + 4.84048i −1.57706 + 0.278079i
\(304\) 3.40218 + 1.96425i 0.195129 + 0.112658i
\(305\) 0.347171 7.70747i 0.0198790 0.441328i
\(306\) −0.659614 1.14248i −0.0377076 0.0653115i
\(307\) 12.7368 + 7.35357i 0.726925 + 0.419690i 0.817296 0.576218i \(-0.195472\pi\)
−0.0903711 + 0.995908i \(0.528805\pi\)
\(308\) −4.50954 12.3899i −0.256955 0.705978i
\(309\) −3.02538 3.60551i −0.172108 0.205110i
\(310\) −8.29885 + 19.9573i −0.471343 + 1.13350i
\(311\) 24.9131 + 4.39286i 1.41269 + 0.249096i 0.827349 0.561688i \(-0.189848\pi\)
0.585345 + 0.810784i \(0.300959\pi\)
\(312\) −10.3727 1.82899i −0.587239 0.103546i
\(313\) −5.94004 4.98429i −0.335751 0.281729i 0.459287 0.888288i \(-0.348105\pi\)
−0.795038 + 0.606559i \(0.792549\pi\)
\(314\) −1.74426 + 4.79231i −0.0984342 + 0.270446i
\(315\) 1.70768 + 5.44223i 0.0962167 + 0.306635i
\(316\) 4.57786 5.45568i 0.257525 0.306906i
\(317\) −10.5554 1.86121i −0.592852 0.104536i −0.130831 0.991405i \(-0.541764\pi\)
−0.462021 + 0.886869i \(0.652876\pi\)
\(318\) 4.31623 24.4785i 0.242042 1.37269i
\(319\) 2.56993 1.48375i 0.143888 0.0830739i
\(320\) 0.486986 2.18239i 0.0272233 0.122000i
\(321\) −10.1364 + 3.68937i −0.565761 + 0.205920i
\(322\) −3.87911 2.23960i −0.216174 0.124808i
\(323\) 4.11301 2.37465i 0.228854 0.132129i
\(324\) −8.49000 7.12396i −0.471667 0.395775i
\(325\) 18.3598 + 18.4614i 1.01842 + 1.02405i
\(326\) 0.0934163 + 0.529790i 0.00517385 + 0.0293424i
\(327\) −6.93737 −0.383637
\(328\) −1.74180 9.87827i −0.0961751 0.545436i
\(329\) −0.780519 + 0.654934i −0.0430314 + 0.0361077i
\(330\) 7.63773 + 24.3408i 0.420443 + 1.33992i
\(331\) 8.15516 + 22.4061i 0.448248 + 1.23155i 0.933943 + 0.357423i \(0.116345\pi\)
−0.485694 + 0.874129i \(0.661433\pi\)
\(332\) 8.17655i 0.448746i
\(333\) 5.80961 + 3.21058i 0.318365 + 0.175939i
\(334\) 5.71139 0.312513
\(335\) 18.3941 + 11.7540i 1.00498 + 0.642191i
\(336\) −4.44302 1.61713i −0.242387 0.0882216i
\(337\) −9.33608 11.1263i −0.508569 0.606089i 0.449270 0.893396i \(-0.351684\pi\)
−0.957838 + 0.287307i \(0.907240\pi\)
\(338\) 2.45124 + 13.9017i 0.133330 + 0.756151i
\(339\) 22.8592i 1.24154i
\(340\) −1.99052 1.82904i −0.107951 0.0991936i
\(341\) 47.2167 + 27.2606i 2.55693 + 1.47624i
\(342\) −2.75558 + 3.28397i −0.149005 + 0.177577i
\(343\) 17.2798 9.97647i 0.933019 0.538679i
\(344\) −0.187834 + 0.325338i −0.0101273 + 0.0175411i
\(345\) 7.30289 + 4.66663i 0.393174 + 0.251243i
\(346\) 6.42664 + 7.65897i 0.345498 + 0.411749i
\(347\) −4.99268 8.64758i −0.268021 0.464227i 0.700329 0.713820i \(-0.253036\pi\)
−0.968351 + 0.249593i \(0.919703\pi\)
\(348\) 0.184787 1.04798i 0.00990564 0.0561777i
\(349\) −3.74845 + 21.2585i −0.200650 + 1.13794i 0.703490 + 0.710705i \(0.251624\pi\)
−0.904140 + 0.427236i \(0.859487\pi\)
\(350\) 6.67744 + 9.59261i 0.356924 + 0.512747i
\(351\) −6.87615 + 18.8921i −0.367022 + 1.00838i
\(352\) −5.30031 1.92915i −0.282507 0.102824i
\(353\) 26.8856 + 22.5597i 1.43098 + 1.20073i 0.945133 + 0.326685i \(0.105932\pi\)
0.485843 + 0.874046i \(0.338513\pi\)
\(354\) 5.17519 29.3500i 0.275058 1.55993i
\(355\) 3.70277 + 7.13698i 0.196523 + 0.378791i
\(356\) 4.79577 2.76884i 0.254175 0.146748i
\(357\) −4.37873 + 3.67419i −0.231747 + 0.194459i
\(358\) −2.68183 7.36828i −0.141739 0.389426i
\(359\) 6.80814 11.7920i 0.359320 0.622360i −0.628528 0.777787i \(-0.716342\pi\)
0.987847 + 0.155427i \(0.0496754\pi\)
\(360\) 2.25305 + 0.936886i 0.118746 + 0.0493782i
\(361\) 2.73237 + 2.29273i 0.143809 + 0.120670i
\(362\) −7.14345 + 12.3728i −0.375452 + 0.650301i
\(363\) 41.4623 7.31092i 2.17620 0.383724i
\(364\) 12.1725i 0.638012i
\(365\) −20.4030 + 22.2044i −1.06794 + 1.16223i
\(366\) −5.34623 + 4.48602i −0.279452 + 0.234488i
\(367\) −3.23184 + 8.87942i −0.168701 + 0.463502i −0.995017 0.0997047i \(-0.968210\pi\)
0.826316 + 0.563206i \(0.190432\pi\)
\(368\) −1.80062 + 0.655371i −0.0938636 + 0.0341636i
\(369\) 10.9458 0.569816
\(370\) 13.3282 + 2.71299i 0.692898 + 0.141042i
\(371\) −28.7258 −1.49137
\(372\) 18.3723 6.68695i 0.952557 0.346702i
\(373\) 3.07128 8.43826i 0.159025 0.436917i −0.834434 0.551108i \(-0.814205\pi\)
0.993459 + 0.114191i \(0.0364276\pi\)
\(374\) −5.22361 + 4.38313i −0.270106 + 0.226646i
\(375\) −12.0716 19.1228i −0.623373 0.987497i
\(376\) 0.435877i 0.0224786i
\(377\) −2.69799 + 0.475728i −0.138953 + 0.0245012i
\(378\) −4.51248 + 7.81585i −0.232097 + 0.402004i
\(379\) −25.9581 21.7814i −1.33338 1.11884i −0.983276 0.182124i \(-0.941703\pi\)
−0.350101 0.936712i \(-0.613853\pi\)
\(380\) −3.37284 + 8.11108i −0.173023 + 0.416090i
\(381\) 6.52332 11.2987i 0.334200 0.578851i
\(382\) −5.07948 13.9558i −0.259889 0.714039i
\(383\) −23.8623 + 20.0228i −1.21930 + 1.02312i −0.220444 + 0.975400i \(0.570751\pi\)
−0.998861 + 0.0477185i \(0.984805\pi\)
\(384\) −1.75169 + 1.01134i −0.0893907 + 0.0516097i
\(385\) 26.1702 13.5775i 1.33375 0.691971i
\(386\) 3.99336 22.6475i 0.203257 1.15273i
\(387\) −0.314034 0.263506i −0.0159633 0.0133948i
\(388\) −1.74631 0.635606i −0.0886556 0.0322680i
\(389\) −6.65032 + 18.2716i −0.337185 + 0.926407i 0.649005 + 0.760784i \(0.275186\pi\)
−0.986189 + 0.165622i \(0.947037\pi\)
\(390\) 1.05979 23.5280i 0.0536644 1.19139i
\(391\) −0.402260 + 2.28133i −0.0203432 + 0.115372i
\(392\) 0.266679 1.51241i 0.0134693 0.0763882i
\(393\) 5.30079 + 9.18124i 0.267390 + 0.463132i
\(394\) −2.11294 2.51811i −0.106449 0.126860i
\(395\) 13.4192 + 8.57503i 0.675194 + 0.431457i
\(396\) 3.07754 5.33045i 0.154652 0.267865i
\(397\) −10.8764 + 6.27950i −0.545871 + 0.315159i −0.747455 0.664312i \(-0.768724\pi\)
0.201584 + 0.979471i \(0.435391\pi\)
\(398\) −11.1442 + 13.2811i −0.558608 + 0.665723i
\(399\) 16.0861 + 9.28731i 0.805312 + 0.464947i
\(400\) 4.97975 + 0.449523i 0.248988 + 0.0224762i
\(401\) 6.72266i 0.335714i 0.985811 + 0.167857i \(0.0536846\pi\)
−0.985811 + 0.167857i \(0.946315\pi\)
\(402\) −3.42881 19.4458i −0.171014 0.969866i
\(403\) −32.3542 38.5582i −1.61168 1.92072i
\(404\) 12.9502 + 4.71349i 0.644298 + 0.234505i
\(405\) 13.3443 20.8827i 0.663082 1.03767i
\(406\) −1.22982 −0.0610348
\(407\) 11.1285 32.4547i 0.551619 1.60872i
\(408\) 2.44528i 0.121059i
\(409\) 10.4107 + 28.6031i 0.514776 + 1.41433i 0.876207 + 0.481936i \(0.160066\pi\)
−0.361431 + 0.932399i \(0.617712\pi\)
\(410\) 21.4004 6.71507i 1.05689 0.331634i
\(411\) −24.3340 + 20.4187i −1.20031 + 1.00718i
\(412\) 0.404069 + 2.29159i 0.0199071 + 0.112899i
\(413\) −34.4425 −1.69480
\(414\) −0.363098 2.05923i −0.0178453 0.101206i
\(415\) −18.1302 + 2.36144i −0.889975 + 0.115918i
\(416\) 3.98903 + 3.34720i 0.195578 + 0.164110i
\(417\) −22.4988 + 12.9897i −1.10177 + 0.636109i
\(418\) 19.1899 + 11.0793i 0.938610 + 0.541907i
\(419\) −27.3550 + 9.95641i −1.33638 + 0.486403i −0.908671 0.417514i \(-0.862902\pi\)
−0.427710 + 0.903916i \(0.640679\pi\)
\(420\) 2.30255 10.3187i 0.112353 0.503502i
\(421\) 26.8832 15.5210i 1.31021 0.756447i 0.328075 0.944652i \(-0.393600\pi\)
0.982130 + 0.188204i \(0.0602666\pi\)
\(422\) 0.336060 1.90589i 0.0163591 0.0927772i
\(423\) −0.468418 0.0825948i −0.0227753 0.00401590i
\(424\) −7.89904 + 9.41371i −0.383611 + 0.457170i
\(425\) 3.48072 4.94190i 0.168840 0.239718i
\(426\) 2.48753 6.83443i 0.120521 0.331129i
\(427\) 6.17855 + 5.18442i 0.299001 + 0.250892i
\(428\) 5.25199 + 0.926068i 0.253865 + 0.0447632i
\(429\) −58.5070 10.3164i −2.82474 0.498079i
\(430\) −0.775633 0.322532i −0.0374043 0.0155539i
\(431\) 17.4219 + 20.7626i 0.839184 + 1.00010i 0.999914 + 0.0131023i \(0.00417072\pi\)
−0.160730 + 0.986998i \(0.551385\pi\)
\(432\) 1.32048 + 3.62799i 0.0635316 + 0.174552i
\(433\) 5.43009 + 3.13506i 0.260953 + 0.150662i 0.624769 0.780809i \(-0.285193\pi\)
−0.363816 + 0.931471i \(0.618526\pi\)
\(434\) −11.2976 19.5680i −0.542301 0.939292i
\(435\) 2.37710 + 0.107073i 0.113973 + 0.00513375i
\(436\) 2.97029 + 1.71490i 0.142251 + 0.0821286i
\(437\) 7.41335 1.30717i 0.354628 0.0625306i
\(438\) 27.2772 1.30336
\(439\) 9.68952 1.70852i 0.462455 0.0815434i 0.0624339 0.998049i \(-0.480114\pi\)
0.400022 + 0.916506i \(0.369003\pi\)
\(440\) 2.74683 12.3097i 0.130950 0.586843i
\(441\) 1.57479 + 0.573176i 0.0749899 + 0.0272941i
\(442\) 5.91563 2.15311i 0.281378 0.102413i
\(443\) 17.3219i 0.822990i 0.911412 + 0.411495i \(0.134993\pi\)
−0.911412 + 0.411495i \(0.865007\pi\)
\(444\) −6.35029 10.5380i −0.301371 0.500112i
\(445\) 7.52450 + 9.83418i 0.356695 + 0.466185i
\(446\) −1.69637 4.66074i −0.0803255 0.220693i
\(447\) 8.61445 23.6680i 0.407450 1.11946i
\(448\) 1.50256 + 1.79069i 0.0709895 + 0.0846020i
\(449\) −14.1325 + 2.49195i −0.666956 + 0.117602i −0.496867 0.867826i \(-0.665516\pi\)
−0.170089 + 0.985429i \(0.554405\pi\)
\(450\) −1.42670 + 5.26634i −0.0672553 + 0.248258i
\(451\) −9.82460 55.7181i −0.462622 2.62366i
\(452\) 5.65071 9.78732i 0.265787 0.460357i
\(453\) 9.86709 11.7591i 0.463596 0.552493i
\(454\) 14.4410 + 25.0125i 0.677748 + 1.17389i
\(455\) −26.9905 + 3.51549i −1.26534 + 0.164809i
\(456\) 7.46690 2.71773i 0.349670 0.127269i
\(457\) 8.94301 7.50408i 0.418337 0.351026i −0.409193 0.912448i \(-0.634190\pi\)
0.827530 + 0.561422i \(0.189745\pi\)
\(458\) 8.21358 + 14.2263i 0.383795 + 0.664753i
\(459\) 4.59656 + 0.810497i 0.214549 + 0.0378308i
\(460\) −1.97321 3.80330i −0.0920013 0.177330i
\(461\) 2.58648 3.08244i 0.120464 0.143564i −0.702442 0.711741i \(-0.747907\pi\)
0.822906 + 0.568178i \(0.192351\pi\)
\(462\) −25.0607 9.12137i −1.16593 0.424364i
\(463\) −6.31174 2.29728i −0.293331 0.106764i 0.191163 0.981558i \(-0.438774\pi\)
−0.484494 + 0.874794i \(0.660996\pi\)
\(464\) −0.338176 + 0.403022i −0.0156994 + 0.0187098i
\(465\) 20.1333 + 38.8063i 0.933657 + 1.79960i
\(466\) −2.16047 0.380949i −0.100082 0.0176471i
\(467\) −8.63767 14.9609i −0.399704 0.692307i 0.593986 0.804476i \(-0.297554\pi\)
−0.993689 + 0.112169i \(0.964220\pi\)
\(468\) −4.35297 + 3.65258i −0.201216 + 0.168841i
\(469\) −21.4436 + 7.80483i −0.990173 + 0.360394i
\(470\) −0.966487 + 0.125884i −0.0445807 + 0.00580659i
\(471\) 5.15771 + 8.93341i 0.237655 + 0.411630i
\(472\) −9.47101 + 11.2871i −0.435939 + 0.519531i
\(473\) −1.05947 + 1.83506i −0.0487146 + 0.0843762i
\(474\) −2.50145 14.1864i −0.114896 0.651605i
\(475\) −18.9591 5.13620i −0.869904 0.235665i
\(476\) 2.78303 0.490724i 0.127560 0.0224923i
\(477\) −8.61971 10.2726i −0.394669 0.470349i
\(478\) 0.611050 1.67885i 0.0279488 0.0767886i
\(479\) −12.5897 34.5901i −0.575240 1.58046i −0.796107 0.605156i \(-0.793111\pi\)
0.220867 0.975304i \(-0.429111\pi\)
\(480\) −2.74838 3.59201i −0.125446 0.163952i
\(481\) −19.9020 + 24.6415i −0.907455 + 1.12356i
\(482\) 2.40721i 0.109645i
\(483\) −8.51362 + 3.09870i −0.387383 + 0.140996i
\(484\) −19.5596 7.11912i −0.889073 0.323596i
\(485\) 0.905007 4.05573i 0.0410943 0.184161i
\(486\) −10.6701 + 1.88143i −0.484006 + 0.0853434i
\(487\) −7.74317 −0.350876 −0.175438 0.984490i \(-0.556134\pi\)
−0.175438 + 0.984490i \(0.556134\pi\)
\(488\) 3.39796 0.599152i 0.153818 0.0271223i
\(489\) 0.942345 + 0.544063i 0.0426143 + 0.0246034i
\(490\) 3.43054 + 0.154524i 0.154976 + 0.00698067i
\(491\) −18.1312 31.4041i −0.818248 1.41725i −0.906972 0.421192i \(-0.861612\pi\)
0.0887232 0.996056i \(-0.471721\pi\)
\(492\) −17.5706 10.1444i −0.792145 0.457345i
\(493\) 0.217534 + 0.597671i 0.00979726 + 0.0269177i
\(494\) −13.1495 15.6709i −0.591623 0.705069i
\(495\) 12.7082 + 5.28448i 0.571193 + 0.237520i
\(496\) −9.51921 1.67849i −0.427425 0.0753666i
\(497\) −8.27763 1.45957i −0.371303 0.0654707i
\(498\) 12.6693 + 10.6308i 0.567723 + 0.476376i
\(499\) 9.94144 27.3139i 0.445040 1.22274i −0.491098 0.871104i \(-0.663404\pi\)
0.936138 0.351633i \(-0.114373\pi\)
\(500\) 0.441438 + 11.1716i 0.0197417 + 0.499610i
\(501\) 7.42568 8.84958i 0.331755 0.395370i
\(502\) 23.4270 + 4.13081i 1.04560 + 0.184367i
\(503\) −1.39334 + 7.90203i −0.0621260 + 0.352334i 0.937860 + 0.347014i \(0.112804\pi\)
−0.999986 + 0.00531984i \(0.998307\pi\)
\(504\) −2.20910 + 1.27542i −0.0984010 + 0.0568118i
\(505\) −6.71131 + 30.0763i −0.298649 + 1.33838i
\(506\) −10.1563 + 3.69660i −0.451504 + 0.164334i
\(507\) 24.7271 + 14.2762i 1.09817 + 0.634028i
\(508\) −5.58601 + 3.22509i −0.247839 + 0.143090i
\(509\) 1.59143 + 1.33537i 0.0705388 + 0.0591890i 0.677375 0.735638i \(-0.263117\pi\)
−0.606837 + 0.794827i \(0.707562\pi\)
\(510\) −5.42202 + 0.706212i −0.240091 + 0.0312716i
\(511\) −5.47405 31.0449i −0.242158 1.37335i
\(512\) 1.00000 0.0441942
\(513\) −2.63377 14.9368i −0.116284 0.659477i
\(514\) −3.27794 + 2.75052i −0.144584 + 0.121320i
\(515\) −4.96454 + 1.55778i −0.218764 + 0.0686442i
\(516\) 0.259886 + 0.714032i 0.0114409 + 0.0314335i
\(517\) 2.45855i 0.108127i
\(518\) −10.7192 + 9.34221i −0.470974 + 0.410473i
\(519\) 20.2229 0.887687
\(520\) −6.26981 + 9.81173i −0.274949 + 0.430273i
\(521\) 30.1422 + 10.9709i 1.32056 + 0.480643i 0.903636 0.428300i \(-0.140888\pi\)
0.416919 + 0.908943i \(0.363110\pi\)
\(522\) −0.369029 0.439792i −0.0161520 0.0192492i
\(523\) 0.136813 + 0.775903i 0.00598240 + 0.0339279i 0.987653 0.156658i \(-0.0500722\pi\)
−0.981670 + 0.190586i \(0.938961\pi\)
\(524\) 5.24135i 0.228970i
\(525\) 23.5451 + 2.12542i 1.02759 + 0.0927610i
\(526\) 6.10712 + 3.52595i 0.266283 + 0.153739i
\(527\) −7.51136 + 8.95169i −0.327200 + 0.389942i
\(528\) −9.88037 + 5.70443i −0.429988 + 0.248254i
\(529\) 9.66413 16.7388i 0.420180 0.727773i
\(530\) −23.1547 14.7961i −1.00577 0.642702i
\(531\) −10.3351 12.3169i −0.448505 0.534508i
\(532\) −4.59159 7.95286i −0.199071 0.344800i
\(533\) −9.07013 + 51.4392i −0.392871 + 2.22808i
\(534\) 1.94502 11.0308i 0.0841694 0.477348i
\(535\) −0.536599 + 11.9129i −0.0231992 + 0.515040i
\(536\) −3.33886 + 9.17343i −0.144217 + 0.396232i
\(537\) −14.9037 5.42449i −0.643141 0.234084i
\(538\) −1.28748 1.08033i −0.0555074 0.0465762i
\(539\) 1.50419 8.53070i 0.0647901 0.367443i
\(540\) −7.66311 + 3.97573i −0.329768 + 0.171088i
\(541\) −11.1218 + 6.42119i −0.478165 + 0.276069i −0.719651 0.694336i \(-0.755698\pi\)
0.241486 + 0.970404i \(0.422365\pi\)
\(542\) −8.62136 + 7.23418i −0.370319 + 0.310734i
\(543\) 9.88364 + 27.1551i 0.424148 + 1.16534i
\(544\) 0.604466 1.04697i 0.0259162 0.0448883i
\(545\) −2.94467 + 7.08140i −0.126136 + 0.303334i
\(546\) 18.8608 + 15.8261i 0.807169 + 0.677295i
\(547\) 4.82218 8.35226i 0.206182 0.357117i −0.744327 0.667815i \(-0.767230\pi\)
0.950509 + 0.310698i \(0.100563\pi\)
\(548\) 15.4662 2.72711i 0.660684 0.116496i
\(549\) 3.76517i 0.160694i
\(550\) 28.0881 + 2.53552i 1.19768 + 0.108115i
\(551\) 1.58327 1.32852i 0.0674497 0.0565970i
\(552\) −1.32561 + 3.64207i −0.0564215 + 0.155017i
\(553\) −15.6440 + 5.69393i −0.665249 + 0.242131i
\(554\) −1.92824 −0.0819229
\(555\) 21.5323 17.1242i 0.913996 0.726881i
\(556\) 12.8441 0.544709
\(557\) −37.9861 + 13.8258i −1.60952 + 0.585819i −0.981346 0.192251i \(-0.938421\pi\)
−0.628178 + 0.778070i \(0.716199\pi\)
\(558\) 3.60761 9.91182i 0.152722 0.419601i
\(559\) 1.49855 1.25744i 0.0633821 0.0531839i
\(560\) −3.53661 + 3.84886i −0.149449 + 0.162644i
\(561\) 13.7925i 0.582321i
\(562\) 20.0874 3.54195i 0.847336 0.149408i
\(563\) 6.28950 10.8937i 0.265071 0.459116i −0.702511 0.711673i \(-0.747938\pi\)
0.967582 + 0.252556i \(0.0812713\pi\)
\(564\) 0.675375 + 0.566707i 0.0284384 + 0.0238627i
\(565\) 23.3338 + 9.70291i 0.981659 + 0.408204i
\(566\) −10.1184 + 17.5255i −0.425307 + 0.736654i
\(567\) 8.86076 + 24.3448i 0.372117 + 1.02238i
\(568\) −2.75450 + 2.31130i −0.115576 + 0.0969800i
\(569\) 25.6300 14.7975i 1.07446 0.620343i 0.145067 0.989422i \(-0.453660\pi\)
0.929398 + 0.369079i \(0.120327\pi\)
\(570\) 8.18261 + 15.7717i 0.342732 + 0.660606i
\(571\) 0.00105313 0.00597260i 4.40722e−5 0.000249946i −0.984786 0.173773i \(-0.944404\pi\)
0.984830 + 0.173523i \(0.0555152\pi\)
\(572\) 22.5000 + 18.8798i 0.940773 + 0.789403i
\(573\) −28.2281 10.2742i −1.17924 0.429210i
\(574\) −8.01949 + 22.0334i −0.334727 + 0.919655i
\(575\) 7.86334 5.47369i 0.327924 0.228269i
\(576\) −0.189491 + 1.07466i −0.00789546 + 0.0447774i
\(577\) 3.96173 22.4681i 0.164929 0.935358i −0.784209 0.620497i \(-0.786931\pi\)
0.949138 0.314861i \(-0.101958\pi\)
\(578\) 7.76924 + 13.4567i 0.323158 + 0.559726i
\(579\) −29.8994 35.6328i −1.24258 1.48085i
\(580\) −0.991303 0.633455i −0.0411616 0.0263028i
\(581\) 9.55665 16.5526i 0.396476 0.686717i
\(582\) −3.25532 + 1.87946i −0.134937 + 0.0779062i
\(583\) −44.5543 + 53.0978i −1.84525 + 2.19908i
\(584\) −11.6790 6.74285i −0.483278 0.279021i
\(585\) −9.35617 8.59713i −0.386830 0.355448i
\(586\) 30.1148i 1.24403i
\(587\) 5.16800 + 29.3092i 0.213306 + 1.20972i 0.883821 + 0.467824i \(0.154962\pi\)
−0.670515 + 0.741896i \(0.733927\pi\)
\(588\) −1.99670 2.37957i −0.0823425 0.0981319i
\(589\) 35.6831 + 12.9876i 1.47030 + 0.535144i
\(590\) −27.7626 17.7407i −1.14297 0.730371i
\(591\) −6.64887 −0.273498
\(592\) 0.113962 + 6.08169i 0.00468380 + 0.249956i
\(593\) 14.2817i 0.586478i −0.956039 0.293239i \(-0.905267\pi\)
0.956039 0.293239i \(-0.0947331\pi\)
\(594\) 7.44812 + 20.4635i 0.305600 + 0.839629i
\(595\) 1.89186 + 6.02921i 0.0775587 + 0.247173i
\(596\) −9.53900 + 8.00417i −0.390733 + 0.327864i
\(597\) 6.08946 + 34.5350i 0.249225 + 1.41342i
\(598\) 9.97813 0.408036
\(599\) 2.69109 + 15.2619i 0.109955 + 0.623586i 0.989125 + 0.147077i \(0.0469866\pi\)
−0.879170 + 0.476508i \(0.841902\pi\)
\(600\) 7.17096 7.13149i 0.292753 0.291142i
\(601\) −23.7239 19.9067i −0.967717 0.812011i 0.0144738 0.999895i \(-0.495393\pi\)
−0.982191 + 0.187884i \(0.939837\pi\)
\(602\) 0.760503 0.439077i 0.0309958 0.0178954i
\(603\) −9.22561 5.32641i −0.375696 0.216908i
\(604\) −7.13149 + 2.59565i −0.290176 + 0.105615i
\(605\) 10.1366 45.4263i 0.412110 1.84684i
\(606\) 24.1407 13.9376i 0.980647 0.566177i
\(607\) −0.865932 + 4.91095i −0.0351471 + 0.199329i −0.997325 0.0730921i \(-0.976713\pi\)
0.962178 + 0.272421i \(0.0878244\pi\)
\(608\) −3.86882 0.682178i −0.156901 0.0276660i
\(609\) −1.59895 + 1.90556i −0.0647928 + 0.0772170i
\(610\) 2.30987 + 7.36139i 0.0935241 + 0.298054i
\(611\) 0.776300 2.13287i 0.0314057 0.0862865i
\(612\) 1.01059 + 0.847983i 0.0408506 + 0.0342777i
\(613\) 5.06673 + 0.893401i 0.204643 + 0.0360841i 0.275030 0.961436i \(-0.411312\pi\)
−0.0703867 + 0.997520i \(0.522423\pi\)
\(614\) −14.4837 2.55387i −0.584515 0.103066i
\(615\) 17.4191 41.8898i 0.702405 1.68916i
\(616\) 8.47517 + 10.1003i 0.341474 + 0.406953i
\(617\) −2.86345 7.86726i −0.115278 0.316724i 0.868613 0.495490i \(-0.165012\pi\)
−0.983892 + 0.178766i \(0.942789\pi\)
\(618\) 4.07609 + 2.35333i 0.163964 + 0.0946648i
\(619\) 13.9305 + 24.1283i 0.559912 + 0.969797i 0.997503 + 0.0706224i \(0.0224985\pi\)
−0.437591 + 0.899174i \(0.644168\pi\)
\(620\) 0.972583 21.5921i 0.0390599 0.867158i
\(621\) 6.40687 + 3.69901i 0.257099 + 0.148436i
\(622\) −24.9131 + 4.39286i −0.998925 + 0.176137i
\(623\) −12.9447 −0.518620
\(624\) 10.3727 1.82899i 0.415241 0.0732182i
\(625\) −24.6438 + 4.20525i −0.985751 + 0.168210i
\(626\) 7.28654 + 2.65208i 0.291229 + 0.105999i
\(627\) 42.1168 15.3293i 1.68198 0.612192i
\(628\) 5.09987i 0.203507i
\(629\) 6.43621 + 3.55686i 0.256628 + 0.141821i
\(630\) −3.46604 4.52996i −0.138090 0.180478i
\(631\) −13.0565 35.8726i −0.519773 1.42806i −0.870771 0.491688i \(-0.836380\pi\)
0.350998 0.936376i \(-0.385842\pi\)
\(632\) −2.43583 + 6.69238i −0.0968921 + 0.266209i
\(633\) −2.51618 2.99866i −0.100009 0.119186i
\(634\) 10.5554 1.86121i 0.419210 0.0739179i
\(635\) −8.76438 11.4547i −0.347804 0.454564i
\(636\) 4.31623 + 24.4785i 0.171150 + 0.970637i
\(637\) −3.99854 + 6.92568i −0.158428 + 0.274405i
\(638\) −1.90747 + 2.27323i −0.0755174 + 0.0899982i
\(639\) −1.96190 3.39811i −0.0776116 0.134427i
\(640\) 0.288806 + 2.21734i 0.0114161 + 0.0876480i
\(641\) −22.9618 + 8.35740i −0.906936 + 0.330098i −0.753029 0.657988i \(-0.771408\pi\)
−0.153907 + 0.988085i \(0.549186\pi\)
\(642\) 8.26331 6.93374i 0.326127 0.273653i
\(643\) 17.8933 + 30.9921i 0.705642 + 1.22221i 0.966459 + 0.256820i \(0.0826747\pi\)
−0.260817 + 0.965388i \(0.583992\pi\)
\(644\) 4.41116 + 0.777806i 0.173824 + 0.0306499i
\(645\) −1.50819 + 0.782473i −0.0593851 + 0.0308098i
\(646\) −3.05279 + 3.63817i −0.120110 + 0.143142i
\(647\) −25.9387 9.44093i −1.01976 0.371161i −0.222585 0.974913i \(-0.571450\pi\)
−0.797172 + 0.603752i \(0.793672\pi\)
\(648\) 10.4145 + 3.79058i 0.409121 + 0.148908i
\(649\) −53.4210 + 63.6646i −2.09696 + 2.49905i
\(650\) −23.5667 11.0686i −0.924362 0.434147i
\(651\) −45.0084 7.93620i −1.76402 0.311044i
\(652\) −0.268981 0.465889i −0.0105341 0.0182456i
\(653\) 17.7581 14.9008i 0.694928 0.583114i −0.225398 0.974267i \(-0.572368\pi\)
0.920326 + 0.391153i \(0.127924\pi\)
\(654\) 6.51900 2.37272i 0.254913 0.0927807i
\(655\) 11.6219 1.51373i 0.454104 0.0591465i
\(656\) 5.01533 + 8.68680i 0.195816 + 0.339163i
\(657\) 9.45930 11.2732i 0.369042 0.439808i
\(658\) 0.509448 0.882390i 0.0198603 0.0343991i
\(659\) −3.60474 20.4435i −0.140421 0.796366i −0.970931 0.239361i \(-0.923062\pi\)
0.830510 0.557004i \(-0.188049\pi\)
\(660\) −15.5022 20.2606i −0.603421 0.788645i
\(661\) 24.5168 4.32297i 0.953593 0.168144i 0.324857 0.945763i \(-0.394684\pi\)
0.628736 + 0.777619i \(0.283573\pi\)
\(662\) −15.3267 18.2656i −0.595689 0.709914i
\(663\) 4.35506 11.9654i 0.169137 0.464699i
\(664\) −2.79654 7.68344i −0.108527 0.298175i
\(665\) 16.3081 12.4779i 0.632402 0.483874i
\(666\) −6.55733 1.02996i −0.254091 0.0399100i
\(667\) 1.00812i 0.0390344i
\(668\) −5.36695 + 1.95341i −0.207653 + 0.0755797i
\(669\) −9.42719 3.43122i −0.364476 0.132659i
\(670\) −21.3049 4.75403i −0.823080 0.183664i
\(671\) 19.1661 3.37950i 0.739899 0.130464i
\(672\) 4.72817 0.182393
\(673\) −1.37378 + 0.242235i −0.0529554 + 0.00933747i −0.200063 0.979783i \(-0.564115\pi\)
0.147108 + 0.989120i \(0.453004\pi\)
\(674\) 12.5785 + 7.26218i 0.484505 + 0.279729i
\(675\) −11.0287 15.8435i −0.424495 0.609816i
\(676\) −7.05806 12.2249i −0.271464 0.470189i
\(677\) 3.97087 + 2.29258i 0.152613 + 0.0881112i 0.574362 0.818602i \(-0.305250\pi\)
−0.421749 + 0.906713i \(0.638584\pi\)
\(678\) −7.81830 21.4806i −0.300260 0.824957i
\(679\) 2.79235 + 3.32779i 0.107160 + 0.127709i
\(680\) 2.49605 + 1.03793i 0.0957191 + 0.0398030i
\(681\) 57.5314 + 10.1443i 2.20461 + 0.388732i
\(682\) −53.6928 9.46749i −2.05600 0.362529i
\(683\) 5.70651 + 4.78833i 0.218354 + 0.183220i 0.745403 0.666614i \(-0.232257\pi\)
−0.527049 + 0.849835i \(0.676702\pi\)
\(684\) 1.46621 4.02839i 0.0560621 0.154029i
\(685\) 10.5137 + 33.5062i 0.401706 + 1.28021i
\(686\) −12.8255 + 15.2848i −0.489680 + 0.583578i
\(687\) 32.7221 + 5.76979i 1.24843 + 0.220131i
\(688\) 0.0652341 0.369961i 0.00248703 0.0141046i
\(689\) 55.4181 31.9956i 2.11126 1.21894i
\(690\) −8.45855 1.88746i −0.322012 0.0718545i
\(691\) 44.4223 16.1684i 1.68991 0.615075i 0.695292 0.718728i \(-0.255275\pi\)
0.994614 + 0.103652i \(0.0330530\pi\)
\(692\) −8.65859 4.99904i −0.329150 0.190035i
\(693\) −12.4603 + 7.19398i −0.473329 + 0.273277i
\(694\) 7.64924 + 6.41847i 0.290361 + 0.243642i
\(695\) 3.70944 + 28.4796i 0.140707 + 1.08029i
\(696\) 0.184787 + 1.04798i 0.00700435 + 0.0397236i
\(697\) 12.1264 0.459319
\(698\) −3.74845 21.2585i −0.141881 0.804646i
\(699\) −3.39921 + 2.85228i −0.128570 + 0.107883i
\(700\) −9.55561 6.73029i −0.361168 0.254381i
\(701\) −0.491784 1.35117i −0.0185744 0.0510329i 0.930059 0.367410i \(-0.119756\pi\)
−0.948633 + 0.316378i \(0.897533\pi\)
\(702\) 20.1045i 0.758796i
\(703\) 3.70790 23.6067i 0.139846 0.890345i
\(704\) 5.64047 0.212583
\(705\) −1.06153 + 1.66120i −0.0399795 + 0.0625646i
\(706\) −32.9801 12.0038i −1.24122 0.451768i
\(707\) −20.7073 24.6781i −0.778780 0.928114i
\(708\) 5.17519 + 29.3500i 0.194496 + 1.10304i
\(709\) 3.88620i 0.145949i −0.997334 0.0729746i \(-0.976751\pi\)
0.997334 0.0729746i \(-0.0232492\pi\)
\(710\) −5.92045 5.44014i −0.222191 0.204165i
\(711\) −6.73045 3.88583i −0.252412 0.145730i
\(712\) −3.55955 + 4.24210i −0.133400 + 0.158980i
\(713\) −16.0404 + 9.26094i −0.600718 + 0.346825i
\(714\) 2.85801 4.95023i 0.106959 0.185258i
\(715\) −35.3647 + 55.3428i −1.32256 + 2.06970i
\(716\) 5.04020 + 6.00668i 0.188361 + 0.224480i
\(717\) −1.80685 3.12956i −0.0674781 0.116875i
\(718\) −2.36444 + 13.4094i −0.0882402 + 0.500435i
\(719\) −5.72952 + 32.4937i −0.213675 + 1.21181i 0.669516 + 0.742798i \(0.266502\pi\)
−0.883191 + 0.469014i \(0.844610\pi\)
\(720\) −2.43760 0.109798i −0.0908441 0.00409194i
\(721\) 1.86039 5.11137i 0.0692844 0.190357i
\(722\) −3.35174 1.21993i −0.124739 0.0454013i
\(723\) 3.72988 + 3.12974i 0.138716 + 0.116396i
\(724\) 2.48090 14.0699i 0.0922017 0.522902i
\(725\) 1.11829 2.38100i 0.0415322 0.0884282i
\(726\) −36.4613 + 21.0509i −1.35321 + 0.781274i
\(727\) 37.3362 31.3288i 1.38472 1.16192i 0.417296 0.908771i \(-0.362978\pi\)
0.967427 0.253150i \(-0.0814665\pi\)
\(728\) −4.16324 11.4384i −0.154300 0.423935i
\(729\) 5.66678 9.81515i 0.209881 0.363524i
\(730\) 11.5782 27.8436i 0.428529 1.03054i
\(731\) −0.347905 0.291927i −0.0128677 0.0107973i
\(732\) 3.48951 6.04400i 0.128976 0.223393i
\(733\) 48.7407 8.59429i 1.80028 0.317437i 0.829697 0.558214i \(-0.188513\pi\)
0.970581 + 0.240777i \(0.0774021\pi\)
\(734\) 9.44928i 0.348779i
\(735\) 4.69966 5.11459i 0.173350 0.188655i
\(736\) 1.46788 1.23169i 0.0541066 0.0454009i
\(737\) −18.8327 + 51.7425i −0.693712 + 1.90596i
\(738\) −10.2857 + 3.74368i −0.378621 + 0.137807i
\(739\) 2.50907 0.0922975 0.0461488 0.998935i \(-0.485305\pi\)
0.0461488 + 0.998935i \(0.485305\pi\)
\(740\) −13.4523 + 2.00912i −0.494515 + 0.0738568i
\(741\) −41.3779 −1.52005
\(742\) 26.9935 9.82481i 0.990961 0.360680i
\(743\) −5.62450 + 15.4532i −0.206343 + 0.566922i −0.999091 0.0426270i \(-0.986427\pi\)
0.792748 + 0.609549i \(0.208650\pi\)
\(744\) −14.9772 + 12.5674i −0.549091 + 0.460742i
\(745\) −20.5029 18.8395i −0.751167 0.690227i
\(746\) 8.97981i 0.328774i
\(747\) 8.78698 1.54938i 0.321499 0.0566889i
\(748\) 3.40947 5.90537i 0.124663 0.215922i
\(749\) −9.54976 8.01320i −0.348941 0.292796i
\(750\) 17.8839 + 13.8408i 0.653030 + 0.505396i
\(751\) −23.7151 + 41.0757i −0.865376 + 1.49887i 0.00129764 + 0.999999i \(0.499587\pi\)
−0.866673 + 0.498876i \(0.833746\pi\)
\(752\) −0.149079 0.409591i −0.00543634 0.0149362i
\(753\) 36.8592 30.9285i 1.34322 1.12710i
\(754\) 2.37257 1.36980i 0.0864039 0.0498853i
\(755\) −7.81505 15.0633i −0.284419 0.548209i
\(756\) 1.56717 8.88785i 0.0569974 0.323248i
\(757\) −31.3724 26.3246i −1.14025 0.956783i −0.140803 0.990038i \(-0.544968\pi\)
−0.999447 + 0.0332547i \(0.989413\pi\)
\(758\) 31.8423 + 11.5896i 1.15656 + 0.420955i
\(759\) −7.47704 + 20.5430i −0.271399 + 0.745664i
\(760\) 0.395280 8.77551i 0.0143383 0.318321i
\(761\) −2.90203 + 16.4582i −0.105199 + 0.596610i 0.885942 + 0.463795i \(0.153513\pi\)
−0.991141 + 0.132815i \(0.957598\pi\)
\(762\) −2.26552 + 12.8484i −0.0820713 + 0.465450i
\(763\) −4.00870 6.94327i −0.145125 0.251363i
\(764\) 9.54631 + 11.3768i 0.345373 + 0.411600i
\(765\) −1.58840 + 2.48572i −0.0574288 + 0.0898713i
\(766\) 15.5750 26.9767i 0.562747 0.974707i
\(767\) 66.4467 38.3630i 2.39925 1.38521i
\(768\) 1.30015 1.54946i 0.0469153 0.0559114i
\(769\) 8.30162 + 4.79294i 0.299364 + 0.172838i 0.642157 0.766573i \(-0.278040\pi\)
−0.342793 + 0.939411i \(0.611373\pi\)
\(770\) −19.9481 + 21.7094i −0.718881 + 0.782351i
\(771\) 8.65515i 0.311708i
\(772\) 3.99336 + 22.6475i 0.143724 +