Properties

Label 588.2.x.b.55.20
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.20
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.b.139.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.761615 - 1.19161i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-0.839884 - 1.81510i) q^{4} +(-1.00022 + 2.07699i) q^{5} +(1.20321 - 0.743154i) q^{6} +(-0.0377719 + 2.64548i) q^{7} +(-2.80257 - 0.381593i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(0.761615 - 1.19161i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-0.839884 - 1.81510i) q^{4} +(-1.00022 + 2.07699i) q^{5} +(1.20321 - 0.743154i) q^{6} +(-0.0377719 + 2.64548i) q^{7} +(-2.80257 - 0.381593i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.71318 + 2.77375i) q^{10} +(4.29047 + 3.42154i) q^{11} +(0.0308341 - 1.99976i) q^{12} +(2.35569 + 1.87860i) q^{13} +(3.12362 + 2.05985i) q^{14} +(-1.80234 + 1.43732i) q^{15} +(-2.58919 + 3.04895i) q^{16} +(-6.03506 - 1.37746i) q^{17} +(1.40650 - 0.147504i) q^{18} -0.661904 q^{19} +(4.61002 + 0.0710814i) q^{20} +(-1.18186 + 2.36711i) q^{21} +(7.34484 - 2.50669i) q^{22} +(2.93828 - 0.670643i) q^{23} +(-2.35946 - 1.55979i) q^{24} +(-0.195980 - 0.245751i) q^{25} +(4.03269 - 1.37630i) q^{26} +(0.222521 + 0.974928i) q^{27} +(4.83354 - 2.15334i) q^{28} +(1.91004 - 8.36842i) q^{29} +(0.340038 + 3.24238i) q^{30} +6.10971 q^{31} +(1.66120 + 5.40744i) q^{32} +(2.38103 + 4.94427i) q^{33} +(-6.23780 + 6.14236i) q^{34} +(-5.45685 - 2.72453i) q^{35} +(0.895445 - 1.78835i) q^{36} +(0.683544 - 2.99480i) q^{37} +(-0.504116 + 0.788733i) q^{38} +(1.30731 + 2.71465i) q^{39} +(3.59576 - 5.43922i) q^{40} +(-1.63056 + 3.38590i) q^{41} +(1.92055 + 3.21115i) q^{42} +(-1.84871 - 3.83889i) q^{43} +(2.60694 - 10.6613i) q^{44} +(-2.24748 + 0.512974i) q^{45} +(1.43869 - 4.01206i) q^{46} +(-3.94249 + 4.94373i) q^{47} +(-3.65567 + 1.62360i) q^{48} +(-6.99715 - 0.199850i) q^{49} +(-0.442101 + 0.0463644i) q^{50} +(-4.83974 - 3.85957i) q^{51} +(1.43134 - 5.85362i) q^{52} +(-1.23232 - 5.39913i) q^{53} +(1.33121 + 0.477361i) q^{54} +(-11.3979 + 5.48895i) q^{55} +(1.11536 - 7.39973i) q^{56} +(-0.596355 - 0.287189i) q^{57} +(-8.51721 - 8.64954i) q^{58} +(-11.5674 + 5.57055i) q^{59} +(4.12264 + 2.06425i) q^{60} +(13.5918 + 3.10223i) q^{61} +(4.65325 - 7.28041i) q^{62} +(-2.09187 + 1.61990i) q^{63} +(7.70877 + 2.13888i) q^{64} +(-6.25804 + 3.01371i) q^{65} +(7.70509 + 0.928359i) q^{66} -4.63068i q^{67} +(2.56851 + 12.1112i) q^{68} +(2.93828 + 0.670643i) q^{69} +(-7.40261 + 4.42741i) q^{70} +(8.42628 - 1.92324i) q^{71} +(-1.44903 - 2.42906i) q^{72} +(6.79302 - 5.41726i) q^{73} +(-3.04805 - 3.09541i) q^{74} +(-0.0699444 - 0.306446i) q^{75} +(0.555922 + 1.20142i) q^{76} +(-9.21368 + 11.2211i) q^{77} +(4.23048 + 0.509716i) q^{78} +7.80719i q^{79} +(-3.74286 - 8.42735i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(2.79282 + 4.52175i) q^{82} +(-4.75993 - 5.96877i) q^{83} +(5.28917 + 0.157106i) q^{84} +(8.89739 - 11.1570i) q^{85} +(-5.98248 - 0.720809i) q^{86} +(5.35181 - 6.71095i) q^{87} +(-10.7187 - 11.2263i) q^{88} +(-1.28694 + 1.02630i) q^{89} +(-1.10045 + 3.06882i) q^{90} +(-5.05878 + 6.16097i) q^{91} +(-3.68510 - 4.77001i) q^{92} +(5.50466 + 2.65090i) q^{93} +(2.88835 + 8.46314i) q^{94} +(0.662053 - 1.37477i) q^{95} +(-0.849511 + 5.59270i) q^{96} -12.3477i q^{97} +(-5.56728 + 8.18568i) q^{98} +5.48772i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.761615 1.19161i 0.538543 0.842598i
\(3\) 0.900969 + 0.433884i 0.520175 + 0.250503i
\(4\) −0.839884 1.81510i −0.419942 0.907551i
\(5\) −1.00022 + 2.07699i −0.447314 + 0.928857i 0.548386 + 0.836225i \(0.315242\pi\)
−0.995700 + 0.0926321i \(0.970472\pi\)
\(6\) 1.20321 0.743154i 0.491210 0.303391i
\(7\) −0.0377719 + 2.64548i −0.0142764 + 0.999898i
\(8\) −2.80257 0.381593i −0.990857 0.134914i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) 1.71318 + 2.77375i 0.541755 + 0.877136i
\(11\) 4.29047 + 3.42154i 1.29363 + 1.03163i 0.997060 + 0.0766206i \(0.0244130\pi\)
0.296566 + 0.955012i \(0.404158\pi\)
\(12\) 0.0308341 1.99976i 0.00890105 0.577282i
\(13\) 2.35569 + 1.87860i 0.653350 + 0.521029i 0.893130 0.449798i \(-0.148504\pi\)
−0.239780 + 0.970827i \(0.577075\pi\)
\(14\) 3.12362 + 2.05985i 0.834823 + 0.550518i
\(15\) −1.80234 + 1.43732i −0.465363 + 0.371114i
\(16\) −2.58919 + 3.04895i −0.647298 + 0.762237i
\(17\) −6.03506 1.37746i −1.46372 0.334084i −0.584847 0.811144i \(-0.698845\pi\)
−0.878871 + 0.477060i \(0.841703\pi\)
\(18\) 1.40650 0.147504i 0.331515 0.0347670i
\(19\) −0.661904 −0.151851 −0.0759256 0.997113i \(-0.524191\pi\)
−0.0759256 + 0.997113i \(0.524191\pi\)
\(20\) 4.61002 + 0.0710814i 1.03083 + 0.0158943i
\(21\) −1.18186 + 2.36711i −0.257904 + 0.516545i
\(22\) 7.34484 2.50669i 1.56593 0.534428i
\(23\) 2.93828 0.670643i 0.612673 0.139839i 0.0950860 0.995469i \(-0.469687\pi\)
0.517587 + 0.855630i \(0.326830\pi\)
\(24\) −2.35946 1.55979i −0.481623 0.318391i
\(25\) −0.195980 0.245751i −0.0391960 0.0491502i
\(26\) 4.03269 1.37630i 0.790876 0.269914i
\(27\) 0.222521 + 0.974928i 0.0428242 + 0.187625i
\(28\) 4.83354 2.15334i 0.913454 0.406942i
\(29\) 1.91004 8.36842i 0.354685 1.55398i −0.411532 0.911395i \(-0.635006\pi\)
0.766217 0.642581i \(-0.222137\pi\)
\(30\) 0.340038 + 3.24238i 0.0620821 + 0.591975i
\(31\) 6.10971 1.09734 0.548668 0.836040i \(-0.315135\pi\)
0.548668 + 0.836040i \(0.315135\pi\)
\(32\) 1.66120 + 5.40744i 0.293662 + 0.955909i
\(33\) 2.38103 + 4.94427i 0.414485 + 0.860686i
\(34\) −6.23780 + 6.14236i −1.06977 + 1.05341i
\(35\) −5.45685 2.72453i −0.922376 0.460529i
\(36\) 0.895445 1.78835i 0.149241 0.298058i
\(37\) 0.683544 2.99480i 0.112374 0.492342i −0.887150 0.461482i \(-0.847318\pi\)
0.999524 0.0308607i \(-0.00982484\pi\)
\(38\) −0.504116 + 0.788733i −0.0817785 + 0.127949i
\(39\) 1.30731 + 2.71465i 0.209337 + 0.434692i
\(40\) 3.59576 5.43922i 0.568540 0.860016i
\(41\) −1.63056 + 3.38590i −0.254651 + 0.528789i −0.988627 0.150387i \(-0.951948\pi\)
0.733976 + 0.679175i \(0.237662\pi\)
\(42\) 1.92055 + 3.21115i 0.296348 + 0.495491i
\(43\) −1.84871 3.83889i −0.281926 0.585425i 0.711131 0.703059i \(-0.248183\pi\)
−0.993057 + 0.117634i \(0.962469\pi\)
\(44\) 2.60694 10.6613i 0.393011 1.60726i
\(45\) −2.24748 + 0.512974i −0.335035 + 0.0764696i
\(46\) 1.43869 4.01206i 0.212123 0.591546i
\(47\) −3.94249 + 4.94373i −0.575071 + 0.721117i −0.981263 0.192671i \(-0.938285\pi\)
0.406192 + 0.913788i \(0.366856\pi\)
\(48\) −3.65567 + 1.62360i −0.527650 + 0.234347i
\(49\) −6.99715 0.199850i −0.999592 0.0285500i
\(50\) −0.442101 + 0.0463644i −0.0625226 + 0.00655692i
\(51\) −4.83974 3.85957i −0.677700 0.540448i
\(52\) 1.43134 5.85362i 0.198492 0.811751i
\(53\) −1.23232 5.39913i −0.169272 0.741627i −0.986291 0.165017i \(-0.947232\pi\)
0.817019 0.576610i \(-0.195625\pi\)
\(54\) 1.33121 + 0.477361i 0.181155 + 0.0649606i
\(55\) −11.3979 + 5.48895i −1.53690 + 0.740131i
\(56\) 1.11536 7.39973i 0.149046 0.988830i
\(57\) −0.596355 0.287189i −0.0789891 0.0380392i
\(58\) −8.51721 8.64954i −1.11836 1.13574i
\(59\) −11.5674 + 5.57055i −1.50594 + 0.725224i −0.991231 0.132140i \(-0.957815\pi\)
−0.514711 + 0.857364i \(0.672101\pi\)
\(60\) 4.12264 + 2.06425i 0.532231 + 0.266494i
\(61\) 13.5918 + 3.10223i 1.74025 + 0.397200i 0.970491 0.241137i \(-0.0775203\pi\)
0.769757 + 0.638337i \(0.220377\pi\)
\(62\) 4.65325 7.28041i 0.590963 0.924613i
\(63\) −2.09187 + 1.61990i −0.263551 + 0.204088i
\(64\) 7.70877 + 2.13888i 0.963597 + 0.267360i
\(65\) −6.25804 + 3.01371i −0.776215 + 0.373805i
\(66\) 7.70509 + 0.928359i 0.948430 + 0.114273i
\(67\) 4.63068i 0.565727i −0.959160 0.282864i \(-0.908716\pi\)
0.959160 0.282864i \(-0.0912843\pi\)
\(68\) 2.56851 + 12.1112i 0.311478 + 1.46869i
\(69\) 2.93828 + 0.670643i 0.353727 + 0.0807359i
\(70\) −7.40261 + 4.42741i −0.884781 + 0.529177i
\(71\) 8.42628 1.92324i 1.00002 0.228247i 0.308981 0.951068i \(-0.400012\pi\)
0.691035 + 0.722821i \(0.257155\pi\)
\(72\) −1.44903 2.42906i −0.170770 0.286267i
\(73\) 6.79302 5.41726i 0.795063 0.634042i −0.139346 0.990244i \(-0.544500\pi\)
0.934409 + 0.356202i \(0.115928\pi\)
\(74\) −3.04805 3.09541i −0.354328 0.359834i
\(75\) −0.0699444 0.306446i −0.00807648 0.0353854i
\(76\) 0.555922 + 1.20142i 0.0637687 + 0.137813i
\(77\) −9.21368 + 11.2211i −1.05000 + 1.27877i
\(78\) 4.23048 + 0.509716i 0.479008 + 0.0577140i
\(79\) 7.80719i 0.878377i 0.898395 + 0.439189i \(0.144734\pi\)
−0.898395 + 0.439189i \(0.855266\pi\)
\(80\) −3.74286 8.42735i −0.418464 0.942206i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) 2.79282 + 4.52175i 0.308415 + 0.499344i
\(83\) −4.75993 5.96877i −0.522470 0.655157i 0.448661 0.893702i \(-0.351901\pi\)
−0.971131 + 0.238545i \(0.923330\pi\)
\(84\) 5.28917 + 0.157106i 0.577096 + 0.0171417i
\(85\) 8.89739 11.1570i 0.965058 1.21014i
\(86\) −5.98248 0.720809i −0.645107 0.0777268i
\(87\) 5.35181 6.71095i 0.573774 0.719490i
\(88\) −10.7187 11.2263i −1.14262 1.19673i
\(89\) −1.28694 + 1.02630i −0.136416 + 0.108788i −0.689320 0.724457i \(-0.742091\pi\)
0.552905 + 0.833244i \(0.313519\pi\)
\(90\) −1.10045 + 3.06882i −0.115998 + 0.323482i
\(91\) −5.05878 + 6.16097i −0.530304 + 0.645845i
\(92\) −3.68510 4.77001i −0.384198 0.497308i
\(93\) 5.50466 + 2.65090i 0.570806 + 0.274886i
\(94\) 2.88835 + 8.46314i 0.297910 + 0.872906i
\(95\) 0.662053 1.37477i 0.0679252 0.141048i
\(96\) −0.849511 + 5.59270i −0.0867028 + 0.570803i
\(97\) 12.3477i 1.25372i −0.779131 0.626861i \(-0.784339\pi\)
0.779131 0.626861i \(-0.215661\pi\)
\(98\) −5.56728 + 8.18568i −0.562380 + 0.826879i
\(99\) 5.48772i 0.551537i
\(100\) −0.281463 + 0.562126i −0.0281463 + 0.0562126i
\(101\) 1.16888 2.42719i 0.116307 0.241515i −0.834686 0.550726i \(-0.814351\pi\)
0.950993 + 0.309211i \(0.100065\pi\)
\(102\) −8.28514 + 2.82760i −0.820351 + 0.279974i
\(103\) 4.49891 + 2.16656i 0.443291 + 0.213478i 0.642195 0.766541i \(-0.278024\pi\)
−0.198904 + 0.980019i \(0.563738\pi\)
\(104\) −5.88511 6.16381i −0.577083 0.604412i
\(105\) −3.73433 4.82235i −0.364433 0.470614i
\(106\) −7.37222 2.64362i −0.716053 0.256771i
\(107\) −11.5486 + 9.20970i −1.11645 + 0.890335i −0.994760 0.102233i \(-0.967401\pi\)
−0.121685 + 0.992569i \(0.538830\pi\)
\(108\) 1.58270 1.22272i 0.152296 0.117657i
\(109\) 7.76829 9.74113i 0.744067 0.933031i −0.255361 0.966846i \(-0.582194\pi\)
0.999428 + 0.0338149i \(0.0107657\pi\)
\(110\) −2.14013 + 17.7624i −0.204053 + 1.69358i
\(111\) 1.91525 2.40164i 0.181787 0.227954i
\(112\) −7.96814 6.96482i −0.752919 0.658114i
\(113\) −9.77742 12.2605i −0.919782 1.15337i −0.987806 0.155687i \(-0.950241\pi\)
0.0680242 0.997684i \(-0.478330\pi\)
\(114\) −0.796412 + 0.491896i −0.0745908 + 0.0460703i
\(115\) −1.54602 + 6.77356i −0.144167 + 0.631638i
\(116\) −16.7937 + 3.56159i −1.55926 + 0.330685i
\(117\) 3.01304i 0.278555i
\(118\) −2.17194 + 18.0264i −0.199944 + 1.65947i
\(119\) 3.87201 15.9136i 0.354947 1.45880i
\(120\) 5.59966 3.34043i 0.511177 0.304938i
\(121\) 4.25351 + 18.6358i 0.386683 + 1.69417i
\(122\) 14.0484 13.8334i 1.27188 1.25242i
\(123\) −2.93817 + 2.34312i −0.264926 + 0.211272i
\(124\) −5.13145 11.0897i −0.460817 0.995889i
\(125\) −10.5310 + 2.40363i −0.941919 + 0.214987i
\(126\) 0.337092 + 3.72644i 0.0300305 + 0.331978i
\(127\) −3.90843 0.892074i −0.346817 0.0791588i 0.0455640 0.998961i \(-0.485492\pi\)
−0.392381 + 0.919803i \(0.628349\pi\)
\(128\) 8.41984 7.55687i 0.744216 0.667939i
\(129\) 4.26085i 0.375147i
\(130\) −1.17504 + 9.75246i −0.103058 + 0.855347i
\(131\) 4.38448 2.11145i 0.383074 0.184479i −0.232429 0.972613i \(-0.574667\pi\)
0.615503 + 0.788135i \(0.288953\pi\)
\(132\) 6.97456 8.47443i 0.607057 0.737604i
\(133\) 0.0250014 1.75105i 0.00216790 0.151836i
\(134\) −5.51797 3.52679i −0.476680 0.304669i
\(135\) −2.24748 0.512974i −0.193433 0.0441497i
\(136\) 16.3880 + 6.16337i 1.40526 + 0.528505i
\(137\) 12.8456 6.18611i 1.09747 0.528515i 0.204610 0.978844i \(-0.434407\pi\)
0.892863 + 0.450329i \(0.148693\pi\)
\(138\) 3.03699 2.99052i 0.258525 0.254570i
\(139\) 10.5294 + 5.07068i 0.893091 + 0.430090i 0.823389 0.567478i \(-0.192081\pi\)
0.0697021 + 0.997568i \(0.477795\pi\)
\(140\) −0.362174 + 12.1930i −0.0306093 + 1.03050i
\(141\) −5.69706 + 2.74356i −0.479779 + 0.231050i
\(142\) 4.12582 11.5056i 0.346231 0.965532i
\(143\) 3.67932 + 16.1202i 0.307680 + 1.34803i
\(144\) −3.99810 0.123322i −0.333175 0.0102768i
\(145\) 15.4706 + 12.3374i 1.28477 + 1.02457i
\(146\) −1.28160 12.2205i −0.106066 1.01138i
\(147\) −6.21750 3.21601i −0.512811 0.265252i
\(148\) −6.00997 + 1.27458i −0.494016 + 0.104770i
\(149\) −10.1658 + 12.7475i −0.832817 + 1.04432i 0.165493 + 0.986211i \(0.447078\pi\)
−0.998310 + 0.0581084i \(0.981493\pi\)
\(150\) −0.418436 0.150048i −0.0341652 0.0122513i
\(151\) 13.3159 3.03927i 1.08363 0.247332i 0.356824 0.934172i \(-0.383859\pi\)
0.726809 + 0.686839i \(0.241002\pi\)
\(152\) 1.85503 + 0.252578i 0.150463 + 0.0204868i
\(153\) −2.68586 5.57724i −0.217139 0.450893i
\(154\) 6.35397 + 19.5253i 0.512017 + 1.57340i
\(155\) −6.11108 + 12.6898i −0.490854 + 1.01927i
\(156\) 3.82939 4.65289i 0.306596 0.372529i
\(157\) −0.255906 0.531394i −0.0204235 0.0424099i 0.890508 0.454968i \(-0.150349\pi\)
−0.910931 + 0.412559i \(0.864635\pi\)
\(158\) 9.30315 + 5.94607i 0.740119 + 0.473044i
\(159\) 1.23232 5.39913i 0.0977290 0.428179i
\(160\) −12.8928 1.95836i −1.01926 0.154822i
\(161\) 1.66319 + 7.79849i 0.131078 + 0.614607i
\(162\) 0.992262 + 1.00768i 0.0779594 + 0.0791707i
\(163\) 2.35534 + 4.89092i 0.184485 + 0.383086i 0.972615 0.232422i \(-0.0746650\pi\)
−0.788130 + 0.615508i \(0.788951\pi\)
\(164\) 7.51524 + 0.115877i 0.586841 + 0.00904845i
\(165\) −12.6508 −0.984860
\(166\) −10.7377 + 1.12609i −0.833407 + 0.0874018i
\(167\) 5.57626 24.4312i 0.431504 1.89054i −0.0228828 0.999738i \(-0.507284\pi\)
0.454387 0.890804i \(-0.349858\pi\)
\(168\) 4.21552 6.18299i 0.325235 0.477028i
\(169\) −0.872639 3.82328i −0.0671261 0.294099i
\(170\) −6.51841 19.0996i −0.499939 1.46487i
\(171\) −0.412690 0.517497i −0.0315592 0.0395740i
\(172\) −5.41527 + 6.57982i −0.412911 + 0.501707i
\(173\) 0.923958 0.210887i 0.0702472 0.0160335i −0.187253 0.982312i \(-0.559958\pi\)
0.257500 + 0.966278i \(0.417101\pi\)
\(174\) −3.92084 11.4884i −0.297238 0.870937i
\(175\) 0.657532 0.509179i 0.0497048 0.0384903i
\(176\) −21.5410 + 4.22242i −1.62371 + 0.318277i
\(177\) −12.8388 −0.965023
\(178\) 0.242800 + 2.31518i 0.0181986 + 0.173530i
\(179\) −15.1446 3.45667i −1.13196 0.258363i −0.384798 0.923001i \(-0.625729\pi\)
−0.747166 + 0.664638i \(0.768586\pi\)
\(180\) 2.81872 + 3.64857i 0.210095 + 0.271949i
\(181\) −16.5778 + 13.2204i −1.23222 + 0.982663i −0.232271 + 0.972651i \(0.574616\pi\)
−0.999950 + 0.0100122i \(0.996813\pi\)
\(182\) 3.48865 + 10.7204i 0.258596 + 0.794648i
\(183\) 10.8998 + 8.69226i 0.805733 + 0.642551i
\(184\) −8.49064 + 0.758295i −0.625938 + 0.0559022i
\(185\) 5.53647 + 4.41519i 0.407049 + 0.324611i
\(186\) 7.35128 4.54045i 0.539022 0.332922i
\(187\) −21.1802 26.5592i −1.54885 1.94220i
\(188\) 12.2846 + 3.00387i 0.895947 + 0.219079i
\(189\) −2.58756 + 0.551850i −0.188217 + 0.0401412i
\(190\) −1.13396 1.83595i −0.0822661 0.133194i
\(191\) 7.74081 16.0740i 0.560106 1.16307i −0.408105 0.912935i \(-0.633810\pi\)
0.968211 0.250136i \(-0.0804754\pi\)
\(192\) 6.01734 + 5.27178i 0.434264 + 0.380458i
\(193\) 1.35546 + 0.652757i 0.0975684 + 0.0469865i 0.482031 0.876154i \(-0.339899\pi\)
−0.384463 + 0.923140i \(0.625613\pi\)
\(194\) −14.7137 9.40422i −1.05638 0.675184i
\(195\) −6.94590 −0.497406
\(196\) 5.51404 + 12.8684i 0.393860 + 0.919170i
\(197\) 20.6882 1.47398 0.736988 0.675906i \(-0.236247\pi\)
0.736988 + 0.675906i \(0.236247\pi\)
\(198\) 6.53924 + 4.17953i 0.464724 + 0.297027i
\(199\) −6.88347 3.31491i −0.487956 0.234987i 0.173694 0.984800i \(-0.444430\pi\)
−0.661651 + 0.749812i \(0.730144\pi\)
\(200\) 0.455470 + 0.763518i 0.0322066 + 0.0539889i
\(201\) 2.00917 4.17209i 0.141716 0.294277i
\(202\) −2.00204 3.24144i −0.140863 0.228067i
\(203\) 22.0664 + 5.36906i 1.54875 + 0.376834i
\(204\) −2.94069 + 12.0262i −0.205889 + 0.842004i
\(205\) −5.40154 6.77332i −0.377260 0.473069i
\(206\) 6.00814 3.71087i 0.418607 0.258549i
\(207\) 2.35632 + 1.87910i 0.163775 + 0.130606i
\(208\) −11.8271 + 2.31832i −0.820060 + 0.160747i
\(209\) −2.83988 2.26473i −0.196439 0.156655i
\(210\) −8.59050 + 0.777092i −0.592801 + 0.0536245i
\(211\) −4.52027 + 3.60480i −0.311189 + 0.248165i −0.766612 0.642110i \(-0.778059\pi\)
0.455424 + 0.890275i \(0.349488\pi\)
\(212\) −8.76497 + 6.77142i −0.601980 + 0.465063i
\(213\) 8.42628 + 1.92324i 0.577359 + 0.131779i
\(214\) 2.17881 + 20.7757i 0.148940 + 1.42020i
\(215\) 9.82245 0.669886
\(216\) −0.251604 2.81721i −0.0171195 0.191687i
\(217\) −0.230775 + 16.1631i −0.0156661 + 1.09722i
\(218\) −5.69121 16.6758i −0.385457 1.12943i
\(219\) 8.47076 1.93340i 0.572401 0.130647i
\(220\) 19.5360 + 16.0783i 1.31711 + 1.08400i
\(221\) −11.6290 14.5823i −0.782253 0.980914i
\(222\) −1.40315 4.11136i −0.0941732 0.275937i
\(223\) 0.551575 + 2.41661i 0.0369362 + 0.161828i 0.990032 0.140839i \(-0.0449801\pi\)
−0.953096 + 0.302667i \(0.902123\pi\)
\(224\) −14.3680 + 4.19043i −0.960004 + 0.279985i
\(225\) 0.0699444 0.306446i 0.00466296 0.0204298i
\(226\) −22.0564 + 2.31312i −1.46717 + 0.153866i
\(227\) 3.77183 0.250345 0.125173 0.992135i \(-0.460052\pi\)
0.125173 + 0.992135i \(0.460052\pi\)
\(228\) −0.0204092 + 1.32365i −0.00135163 + 0.0876609i
\(229\) −2.63299 5.46747i −0.173993 0.361300i 0.795676 0.605723i \(-0.207116\pi\)
−0.969669 + 0.244422i \(0.921402\pi\)
\(230\) 6.89399 + 7.00111i 0.454576 + 0.461639i
\(231\) −13.1699 + 6.11223i −0.866516 + 0.402155i
\(232\) −8.54634 + 22.7242i −0.561095 + 1.49192i
\(233\) 0.134158 0.587786i 0.00878900 0.0385071i −0.970343 0.241731i \(-0.922285\pi\)
0.979132 + 0.203224i \(0.0651420\pi\)
\(234\) 3.59037 + 2.29478i 0.234710 + 0.150014i
\(235\) −6.32468 13.1333i −0.412577 0.856725i
\(236\) 19.8264 + 16.3173i 1.29059 + 1.06217i
\(237\) −3.38741 + 7.03403i −0.220036 + 0.456910i
\(238\) −16.0139 16.7340i −1.03803 1.08470i
\(239\) −4.63007 9.61444i −0.299494 0.621906i 0.695861 0.718177i \(-0.255023\pi\)
−0.995355 + 0.0962702i \(0.969309\pi\)
\(240\) 0.284292 9.21675i 0.0183510 0.594938i
\(241\) −8.19615 + 1.87072i −0.527960 + 0.120503i −0.478189 0.878257i \(-0.658706\pi\)
−0.0497716 + 0.998761i \(0.515849\pi\)
\(242\) 25.4463 + 9.12481i 1.63575 + 0.586565i
\(243\) −0.623490 + 0.781831i −0.0399969 + 0.0501545i
\(244\) −5.78464 27.2760i −0.370323 1.74616i
\(245\) 7.41380 14.3331i 0.473651 0.915708i
\(246\) 0.554328 + 5.28572i 0.0353427 + 0.337005i
\(247\) −1.55924 1.24345i −0.0992120 0.0791189i
\(248\) −17.1229 2.33142i −1.08730 0.148046i
\(249\) −1.69880 7.44293i −0.107657 0.471677i
\(250\) −5.15636 + 14.3795i −0.326117 + 0.909439i
\(251\) 11.9915 5.77480i 0.756896 0.364502i −0.0153027 0.999883i \(-0.504871\pi\)
0.772199 + 0.635381i \(0.219157\pi\)
\(252\) 4.69721 + 2.43643i 0.295897 + 0.153481i
\(253\) 14.9012 + 7.17606i 0.936833 + 0.451155i
\(254\) −4.03973 + 3.97792i −0.253475 + 0.249597i
\(255\) 12.8571 6.19166i 0.805143 0.387737i
\(256\) −2.59218 15.7886i −0.162012 0.986789i
\(257\) 14.6955 + 3.35416i 0.916683 + 0.209227i 0.654738 0.755856i \(-0.272779\pi\)
0.261945 + 0.965083i \(0.415636\pi\)
\(258\) −5.07728 3.24513i −0.316098 0.202033i
\(259\) 7.89687 + 1.92142i 0.490688 + 0.119391i
\(260\) 10.7262 + 8.82781i 0.665212 + 0.547478i
\(261\) 7.73358 3.72430i 0.478697 0.230528i
\(262\) 0.823251 6.83272i 0.0508606 0.422127i
\(263\) 24.8678i 1.53342i 0.641996 + 0.766708i \(0.278107\pi\)
−0.641996 + 0.766708i \(0.721893\pi\)
\(264\) −4.78631 14.7652i −0.294577 0.908737i
\(265\) 12.4465 + 2.84084i 0.764583 + 0.174511i
\(266\) −2.06754 1.36342i −0.126769 0.0835968i
\(267\) −1.60479 + 0.366283i −0.0982116 + 0.0224161i
\(268\) −8.40515 + 3.88923i −0.513426 + 0.237572i
\(269\) −6.59040 + 5.25567i −0.401824 + 0.320444i −0.803464 0.595354i \(-0.797012\pi\)
0.401640 + 0.915798i \(0.368440\pi\)
\(270\) −2.32298 + 2.28744i −0.141372 + 0.139209i
\(271\) 5.95173 + 26.0762i 0.361542 + 1.58402i 0.749283 + 0.662250i \(0.230398\pi\)
−0.387741 + 0.921768i \(0.626745\pi\)
\(272\) 19.8257 14.8341i 1.20211 0.899448i
\(273\) −7.23094 + 3.35592i −0.437637 + 0.203110i
\(274\) 2.41195 20.0184i 0.145711 1.20936i
\(275\) 1.72494i 0.104018i
\(276\) −1.25053 5.89654i −0.0752729 0.354930i
\(277\) 3.28041 14.3724i 0.197101 0.863555i −0.775551 0.631286i \(-0.782528\pi\)
0.972651 0.232270i \(-0.0746152\pi\)
\(278\) 14.0616 8.68504i 0.843361 0.520894i
\(279\) 3.80934 + 4.77676i 0.228059 + 0.285977i
\(280\) 14.2535 + 9.71797i 0.851812 + 0.580760i
\(281\) 4.51312 5.65927i 0.269230 0.337604i −0.628776 0.777586i \(-0.716444\pi\)
0.898006 + 0.439982i \(0.145015\pi\)
\(282\) −1.06971 + 8.87823i −0.0637002 + 0.528691i
\(283\) 9.96969 12.5016i 0.592636 0.743142i −0.391574 0.920147i \(-0.628069\pi\)
0.984210 + 0.177004i \(0.0566406\pi\)
\(284\) −10.5680 13.6793i −0.627094 0.811715i
\(285\) 1.19298 0.951368i 0.0706659 0.0563542i
\(286\) 22.0112 + 7.89303i 1.30155 + 0.466725i
\(287\) −8.89575 4.44152i −0.525099 0.262174i
\(288\) −3.19197 + 4.67026i −0.188088 + 0.275198i
\(289\) 19.2081 + 9.25014i 1.12989 + 0.544126i
\(290\) 26.4841 9.03865i 1.55520 0.530768i
\(291\) 5.35748 11.1249i 0.314061 0.652154i
\(292\) −15.5382 7.78017i −0.909306 0.455300i
\(293\) 18.7447i 1.09508i 0.836781 + 0.547538i \(0.184435\pi\)
−0.836781 + 0.547538i \(0.815565\pi\)
\(294\) −8.56758 + 4.95949i −0.499671 + 0.289244i
\(295\) 29.5971i 1.72321i
\(296\) −3.05847 + 8.13230i −0.177770 + 0.472680i
\(297\) −2.38103 + 4.94427i −0.138162 + 0.286895i
\(298\) 7.44769 + 21.8225i 0.431433 + 1.26414i
\(299\) 8.18153 + 3.94002i 0.473150 + 0.227857i
\(300\) −0.497486 + 0.384336i −0.0287224 + 0.0221896i
\(301\) 10.2255 4.74573i 0.589390 0.273539i
\(302\) 6.51997 18.1822i 0.375182 1.04627i
\(303\) 2.10624 1.67967i 0.121000 0.0964946i
\(304\) 1.71380 2.01811i 0.0982929 0.115747i
\(305\) −20.0381 + 25.1270i −1.14738 + 1.43877i
\(306\) −8.69150 1.04721i −0.496860 0.0598649i
\(307\) 11.6044 14.5515i 0.662301 0.830499i −0.331291 0.943529i \(-0.607484\pi\)
0.993592 + 0.113030i \(0.0360556\pi\)
\(308\) 28.1059 + 7.29932i 1.60148 + 0.415917i
\(309\) 3.11334 + 3.90401i 0.177112 + 0.222091i
\(310\) 10.4670 + 16.9468i 0.594487 + 0.962513i
\(311\) 3.09800 13.5732i 0.175672 0.769667i −0.807925 0.589285i \(-0.799409\pi\)
0.983597 0.180382i \(-0.0577334\pi\)
\(312\) −2.62793 8.10686i −0.148777 0.458960i
\(313\) 1.47823i 0.0835548i −0.999127 0.0417774i \(-0.986698\pi\)
0.999127 0.0417774i \(-0.0133020\pi\)
\(314\) −0.828118 0.0997771i −0.0467334 0.00563075i
\(315\) −1.27217 5.96505i −0.0716787 0.336093i
\(316\) 14.1708 6.55713i 0.797172 0.368867i
\(317\) −0.652741 2.85985i −0.0366616 0.160625i 0.953284 0.302077i \(-0.0976800\pi\)
−0.989945 + 0.141452i \(0.954823\pi\)
\(318\) −5.49512 5.58050i −0.308151 0.312939i
\(319\) 36.8278 29.3692i 2.06196 1.64436i
\(320\) −12.1529 + 13.8717i −0.679370 + 0.775450i
\(321\) −14.4009 + 3.28690i −0.803778 + 0.183457i
\(322\) 10.5595 + 3.95758i 0.588458 + 0.220547i
\(323\) 3.99463 + 0.911749i 0.222267 + 0.0507311i
\(324\) 1.95649 0.414928i 0.108694 0.0230516i
\(325\) 0.947080i 0.0525345i
\(326\) 7.62195 + 0.918343i 0.422141 + 0.0508623i
\(327\) 11.2255 5.40592i 0.620772 0.298948i
\(328\) 5.86180 8.86700i 0.323664 0.489598i
\(329\) −12.9296 10.6165i −0.712833 0.585308i
\(330\) −9.63501 + 15.0748i −0.530390 + 0.829840i
\(331\) 5.24868 + 1.19798i 0.288493 + 0.0658467i 0.364319 0.931274i \(-0.381302\pi\)
−0.0758252 + 0.997121i \(0.524159\pi\)
\(332\) −6.83613 + 13.6528i −0.375181 + 0.749297i
\(333\) 2.76761 1.33281i 0.151664 0.0730377i
\(334\) −24.8656 25.2519i −1.36058 1.38172i
\(335\) 9.61786 + 4.63172i 0.525480 + 0.253058i
\(336\) −4.15712 9.73233i −0.226790 0.530942i
\(337\) 14.1650 6.82151i 0.771618 0.371591i −0.00628185 0.999980i \(-0.502000\pi\)
0.777899 + 0.628389i \(0.216285\pi\)
\(338\) −5.22049 1.87202i −0.283957 0.101825i
\(339\) −3.48952 15.2886i −0.189525 0.830362i
\(340\) −27.7238 6.77911i −1.50354 0.367649i
\(341\) 26.2135 + 20.9046i 1.41954 + 1.13205i
\(342\) −0.930968 + 0.0976333i −0.0503410 + 0.00527940i
\(343\) 0.792995 18.5033i 0.0428177 0.999083i
\(344\) 3.71625 + 11.4642i 0.200367 + 0.618109i
\(345\) −4.33186 + 5.43198i −0.233219 + 0.292448i
\(346\) 0.452404 1.26162i 0.0243214 0.0678249i
\(347\) −25.4149 + 5.80078i −1.36434 + 0.311402i −0.841145 0.540809i \(-0.818118\pi\)
−0.523197 + 0.852212i \(0.675261\pi\)
\(348\) −16.6760 4.07765i −0.893925 0.218585i
\(349\) −6.40559 13.3013i −0.342883 0.712004i 0.656210 0.754578i \(-0.272159\pi\)
−0.999093 + 0.0425739i \(0.986444\pi\)
\(350\) −0.105957 1.17132i −0.00566365 0.0626098i
\(351\) −1.30731 + 2.71465i −0.0697789 + 0.144897i
\(352\) −11.3744 + 28.8843i −0.606259 + 1.53954i
\(353\) −3.23424 6.71597i −0.172141 0.357455i 0.796993 0.603989i \(-0.206423\pi\)
−0.969134 + 0.246533i \(0.920709\pi\)
\(354\) −9.77823 + 15.2989i −0.519707 + 0.813127i
\(355\) −4.43362 + 19.4250i −0.235312 + 1.03097i
\(356\) 2.94372 + 1.47396i 0.156017 + 0.0781195i
\(357\) 10.3932 12.6577i 0.550068 0.669915i
\(358\) −15.6534 + 15.4139i −0.827308 + 0.814650i
\(359\) 6.11657 + 12.7012i 0.322820 + 0.670343i 0.997714 0.0675715i \(-0.0215251\pi\)
−0.674894 + 0.737914i \(0.735811\pi\)
\(360\) 6.49447 0.580019i 0.342289 0.0305697i
\(361\) −18.5619 −0.976941
\(362\) 3.12765 + 29.8232i 0.164385 + 1.56747i
\(363\) −4.25351 + 18.6358i −0.223251 + 0.978128i
\(364\) 15.4316 + 4.00770i 0.808834 + 0.210060i
\(365\) 4.45702 + 19.5275i 0.233291 + 1.02212i
\(366\) 18.6592 6.36813i 0.975334 0.332867i
\(367\) 17.8967 + 22.4417i 0.934200 + 1.17145i 0.984968 + 0.172739i \(0.0552616\pi\)
−0.0507681 + 0.998710i \(0.516167\pi\)
\(368\) −5.56301 + 10.6951i −0.289992 + 0.557520i
\(369\) −3.66384 + 0.836248i −0.190732 + 0.0435333i
\(370\) 9.47785 3.23465i 0.492730 0.168162i
\(371\) 14.3298 3.05613i 0.743968 0.158667i
\(372\) 0.188388 12.2180i 0.00976744 0.633472i
\(373\) −17.9432 −0.929061 −0.464531 0.885557i \(-0.653777\pi\)
−0.464531 + 0.885557i \(0.653777\pi\)
\(374\) −47.7795 + 5.01077i −2.47062 + 0.259101i
\(375\) −10.5310 2.40363i −0.543817 0.124123i
\(376\) 12.9356 12.3507i 0.667102 0.636939i
\(377\) 20.2203 16.1252i 1.04140 0.830490i
\(378\) −1.31313 + 3.50367i −0.0675403 + 0.180209i
\(379\) 7.90471 + 6.30380i 0.406038 + 0.323804i 0.805121 0.593110i \(-0.202100\pi\)
−0.399083 + 0.916915i \(0.630672\pi\)
\(380\) −3.05139 0.0470491i −0.156533 0.00241357i
\(381\) −3.13432 2.49954i −0.160576 0.128055i
\(382\) −13.2584 21.4662i −0.678360 1.09831i
\(383\) −9.47102 11.8763i −0.483947 0.606850i 0.478578 0.878045i \(-0.341152\pi\)
−0.962524 + 0.271195i \(0.912581\pi\)
\(384\) 10.8648 3.15527i 0.554443 0.161017i
\(385\) −14.0904 30.3603i −0.718114 1.54731i
\(386\) 1.81018 1.11804i 0.0921355 0.0569067i
\(387\) 1.84871 3.83889i 0.0939753 0.195142i
\(388\) −22.4124 + 10.3707i −1.13782 + 0.526490i
\(389\) −35.0761 16.8917i −1.77843 0.856445i −0.959074 0.283157i \(-0.908618\pi\)
−0.819354 0.573289i \(-0.805667\pi\)
\(390\) −5.29011 + 8.27683i −0.267875 + 0.419113i
\(391\) −18.6565 −0.943499
\(392\) 19.5337 + 3.23016i 0.986602 + 0.163148i
\(393\) 4.86640 0.245478
\(394\) 15.7565 24.6524i 0.793800 1.24197i
\(395\) −16.2154 7.80894i −0.815887 0.392910i
\(396\) 9.96078 4.60905i 0.500548 0.231613i
\(397\) 3.76083 7.80945i 0.188751 0.391945i −0.785022 0.619468i \(-0.787348\pi\)
0.973773 + 0.227523i \(0.0730626\pi\)
\(398\) −9.19265 + 5.67775i −0.460786 + 0.284600i
\(399\) 0.782280 1.56680i 0.0391630 0.0784380i
\(400\) 1.25671 + 0.0387634i 0.0628356 + 0.00193817i
\(401\) 16.8033 + 21.0706i 0.839115 + 1.05222i 0.997892 + 0.0649019i \(0.0206735\pi\)
−0.158777 + 0.987314i \(0.550755\pi\)
\(402\) −3.44130 5.57169i −0.171637 0.277891i
\(403\) 14.3926 + 11.4777i 0.716945 + 0.571744i
\(404\) −5.38733 0.0830666i −0.268029 0.00413272i
\(405\) −1.80234 1.43732i −0.0895591 0.0714210i
\(406\) 23.2039 22.2054i 1.15159 1.10204i
\(407\) 13.1796 10.5103i 0.653286 0.520979i
\(408\) 12.0909 + 12.6635i 0.598590 + 0.626937i
\(409\) −6.57609 1.50095i −0.325167 0.0742172i 0.0568214 0.998384i \(-0.481903\pi\)
−0.381988 + 0.924167i \(0.624761\pi\)
\(410\) −12.1851 + 1.27788i −0.601778 + 0.0631102i
\(411\) 14.2575 0.703272
\(412\) 0.153968 9.98564i 0.00758544 0.491957i
\(413\) −14.2999 30.8117i −0.703650 1.51614i
\(414\) 4.03377 1.37667i 0.198249 0.0676595i
\(415\) 17.1581 3.91621i 0.842256 0.192239i
\(416\) −6.24514 + 15.8590i −0.306193 + 0.777550i
\(417\) 7.28656 + 9.13706i 0.356824 + 0.447444i
\(418\) −4.86158 + 1.65919i −0.237788 + 0.0811535i
\(419\) 6.30868 + 27.6401i 0.308199 + 1.35031i 0.857414 + 0.514628i \(0.172070\pi\)
−0.549214 + 0.835681i \(0.685073\pi\)
\(420\) −5.61666 + 10.8284i −0.274065 + 0.528372i
\(421\) 7.29481 31.9607i 0.355527 1.55767i −0.408668 0.912683i \(-0.634007\pi\)
0.764196 0.644984i \(-0.223136\pi\)
\(422\) 0.852814 + 8.13189i 0.0415144 + 0.395854i
\(423\) −6.32326 −0.307448
\(424\) 1.39338 + 15.6017i 0.0676684 + 0.757684i
\(425\) 0.844238 + 1.75308i 0.0409515 + 0.0850367i
\(426\) 8.70935 8.57610i 0.421969 0.415513i
\(427\) −8.72029 + 35.8396i −0.422004 + 1.73440i
\(428\) 26.4160 + 13.2268i 1.27687 + 0.639342i
\(429\) −3.67932 + 16.1202i −0.177639 + 0.778288i
\(430\) 7.48093 11.7046i 0.360763 0.564444i
\(431\) 13.1622 + 27.3316i 0.634002 + 1.31652i 0.932176 + 0.362006i \(0.117908\pi\)
−0.298174 + 0.954512i \(0.596378\pi\)
\(432\) −3.54865 1.84582i −0.170735 0.0888070i
\(433\) −5.06665 + 10.5210i −0.243488 + 0.505608i −0.986519 0.163650i \(-0.947673\pi\)
0.743031 + 0.669257i \(0.233388\pi\)
\(434\) 19.0844 + 12.5851i 0.916082 + 0.604103i
\(435\) 8.58556 + 17.8281i 0.411646 + 0.854792i
\(436\) −24.2056 5.91883i −1.15924 0.283460i
\(437\) −1.94486 + 0.443901i −0.0930352 + 0.0212347i
\(438\) 4.14760 11.5664i 0.198180 0.552663i
\(439\) −6.13976 + 7.69901i −0.293035 + 0.367454i −0.906455 0.422303i \(-0.861222\pi\)
0.613420 + 0.789757i \(0.289793\pi\)
\(440\) 34.0380 11.0338i 1.62270 0.526016i
\(441\) −4.20640 5.59519i −0.200305 0.266438i
\(442\) −26.2333 + 2.75117i −1.24779 + 0.130860i
\(443\) −14.7785 11.7854i −0.702147 0.559943i 0.206022 0.978547i \(-0.433948\pi\)
−0.908169 + 0.418604i \(0.862520\pi\)
\(444\) −5.96782 1.45927i −0.283220 0.0692538i
\(445\) −0.844385 3.69949i −0.0400277 0.175373i
\(446\) 3.29975 + 1.18326i 0.156248 + 0.0560291i
\(447\) −14.6900 + 7.07435i −0.694815 + 0.334605i
\(448\) −5.94955 + 20.3126i −0.281090 + 0.959681i
\(449\) 27.6508 + 13.3159i 1.30492 + 0.628416i 0.951673 0.307114i \(-0.0993631\pi\)
0.353247 + 0.935530i \(0.385077\pi\)
\(450\) −0.311895 0.316741i −0.0147029 0.0149313i
\(451\) −18.5809 + 8.94808i −0.874939 + 0.421349i
\(452\) −14.0422 + 28.0444i −0.660487 + 1.31910i
\(453\) 13.3159 + 3.03927i 0.625636 + 0.142797i
\(454\) 2.87268 4.49456i 0.134822 0.210940i
\(455\) −7.73635 16.6694i −0.362686 0.781472i
\(456\) 1.56174 + 1.03243i 0.0731350 + 0.0483481i
\(457\) −22.1933 + 10.6877i −1.03816 + 0.499950i −0.873716 0.486437i \(-0.838296\pi\)
−0.164442 + 0.986387i \(0.552582\pi\)
\(458\) −8.52044 1.02660i −0.398134 0.0479698i
\(459\) 6.19027i 0.288937i
\(460\) 13.5932 2.88282i 0.633785 0.134412i
\(461\) −22.4518 5.12447i −1.04568 0.238670i −0.335026 0.942209i \(-0.608745\pi\)
−0.710657 + 0.703539i \(0.751602\pi\)
\(462\) −2.74699 + 20.3486i −0.127802 + 0.946702i
\(463\) −34.5047 + 7.87548i −1.60357 + 0.366005i −0.928378 0.371636i \(-0.878797\pi\)
−0.675193 + 0.737641i \(0.735940\pi\)
\(464\) 20.5694 + 27.4910i 0.954912 + 1.27624i
\(465\) −11.0118 + 8.78161i −0.510659 + 0.407237i
\(466\) −0.598236 0.607531i −0.0277127 0.0281433i
\(467\) 4.40188 + 19.2859i 0.203695 + 0.892444i 0.968663 + 0.248377i \(0.0798972\pi\)
−0.764969 + 0.644067i \(0.777246\pi\)
\(468\) 5.46897 2.53060i 0.252803 0.116977i
\(469\) 12.2504 + 0.174910i 0.565669 + 0.00807657i
\(470\) −20.4668 2.46598i −0.944065 0.113747i
\(471\) 0.589803i 0.0271767i
\(472\) 34.5440 11.1978i 1.59002 0.515421i
\(473\) 5.20306 22.7961i 0.239237 1.04817i
\(474\) 5.80194 + 9.39371i 0.266492 + 0.431468i
\(475\) 0.129720 + 0.162664i 0.00595195 + 0.00746351i
\(476\) −32.1369 + 6.33749i −1.47299 + 0.290479i
\(477\) 3.45287 4.32976i 0.158096 0.198246i
\(478\) −14.9830 1.80525i −0.685308 0.0825704i
\(479\) −1.36748 + 1.71477i −0.0624818 + 0.0783497i −0.812090 0.583532i \(-0.801670\pi\)
0.749609 + 0.661881i \(0.230242\pi\)
\(480\) −10.7663 7.35838i −0.491411 0.335863i
\(481\) 7.23624 5.77071i 0.329944 0.263122i
\(482\) −4.01314 + 11.1914i −0.182794 + 0.509754i
\(483\) −1.88516 + 7.74783i −0.0857777 + 0.352539i
\(484\) 30.2535 23.3725i 1.37516 1.06239i
\(485\) 25.6461 + 12.3505i 1.16453 + 0.560808i
\(486\) 0.456781 + 1.33841i 0.0207200 + 0.0607117i
\(487\) 10.1996 21.1798i 0.462189 0.959746i −0.531445 0.847093i \(-0.678351\pi\)
0.993634 0.112653i \(-0.0359349\pi\)
\(488\) −36.9081 13.8807i −1.67075 0.628352i
\(489\) 5.42851i 0.245486i
\(490\) −11.4330 19.7507i −0.516492 0.892245i
\(491\) 5.26232i 0.237485i −0.992925 0.118743i \(-0.962114\pi\)
0.992925 0.118743i \(-0.0378863\pi\)
\(492\) 6.72072 + 3.36514i 0.302993 + 0.151712i
\(493\) −23.0544 + 47.8729i −1.03832 + 2.15609i
\(494\) −2.66925 + 0.910978i −0.120095 + 0.0409868i
\(495\) −11.3979 5.48895i −0.512299 0.246710i
\(496\) −15.8192 + 18.6282i −0.710303 + 0.836431i
\(497\) 4.76963 + 22.3642i 0.213947 + 1.00317i
\(498\) −10.1629 3.64434i −0.455412 0.163307i
\(499\) −22.3316 + 17.8089i −0.999701 + 0.797235i −0.979271 0.202557i \(-0.935075\pi\)
−0.0204301 + 0.999791i \(0.506504\pi\)
\(500\) 13.2076 + 17.0960i 0.590663 + 0.764558i
\(501\) 15.6243 19.5923i 0.698044 0.875319i
\(502\) 2.25158 18.6874i 0.100493 0.834059i
\(503\) 12.0710 15.1365i 0.538218 0.674903i −0.436148 0.899875i \(-0.643658\pi\)
0.974365 + 0.224972i \(0.0722289\pi\)
\(504\) 6.48075 3.74163i 0.288676 0.166666i
\(505\) 3.87212 + 4.85548i 0.172307 + 0.216066i
\(506\) 19.9001 12.2911i 0.884667 0.546407i
\(507\) 0.872639 3.82328i 0.0387553 0.169798i
\(508\) 1.66342 + 7.84344i 0.0738025 + 0.347997i
\(509\) 17.8209i 0.789899i 0.918703 + 0.394950i \(0.129238\pi\)
−0.918703 + 0.394950i \(0.870762\pi\)
\(510\) 2.41411 20.0364i 0.106899 0.887225i
\(511\) 14.0747 + 18.1754i 0.622627 + 0.804034i
\(512\) −20.7882 8.93598i −0.918716 0.394918i
\(513\) −0.147287 0.645309i −0.00650290 0.0284911i
\(514\) 15.1892 14.9568i 0.669968 0.659717i
\(515\) −8.99984 + 7.17713i −0.396580 + 0.316262i
\(516\) −7.73387 + 3.57862i −0.340465 + 0.157540i
\(517\) −33.8303 + 7.72155i −1.48786 + 0.339593i
\(518\) 8.30397 7.94663i 0.364856 0.349155i
\(519\) 0.923958 + 0.210887i 0.0405572 + 0.00925693i
\(520\) 18.6886 6.05811i 0.819549 0.265666i
\(521\) 8.86576i 0.388416i 0.980960 + 0.194208i \(0.0622136\pi\)
−0.980960 + 0.194208i \(0.937786\pi\)
\(522\) 1.45209 12.0519i 0.0635565 0.527498i
\(523\) −38.4272 + 18.5056i −1.68031 + 0.809193i −0.683447 + 0.730000i \(0.739520\pi\)
−0.996859 + 0.0791924i \(0.974766\pi\)
\(524\) −7.51496 6.18490i −0.328292 0.270189i
\(525\) 0.813340 0.173462i 0.0354971 0.00757048i
\(526\) 29.6328 + 18.9397i 1.29205 + 0.825811i
\(527\) −36.8725 8.41590i −1.60619 0.366602i
\(528\) −21.2398 5.54200i −0.924342 0.241185i
\(529\) −12.5386 + 6.03825i −0.545155 + 0.262533i
\(530\) 12.8646 12.6678i 0.558804 0.550254i
\(531\) −11.5674 5.57055i −0.501981 0.241741i
\(532\) −3.19934 + 1.42530i −0.138709 + 0.0617947i
\(533\) −10.2018 + 4.91295i −0.441891 + 0.212803i
\(534\) −0.785765 + 2.19126i −0.0340034 + 0.0948249i
\(535\) −7.57724 33.1981i −0.327593 1.43528i
\(536\) −1.76703 + 12.9778i −0.0763243 + 0.560555i
\(537\) −12.1451 9.68536i −0.524098 0.417954i
\(538\) 1.24337 + 11.8560i 0.0536056 + 0.511149i
\(539\) −29.3373 24.7985i −1.26365 1.06815i
\(540\) 0.956526 + 4.51025i 0.0411623 + 0.194090i
\(541\) −0.0896636 + 0.112435i −0.00385494 + 0.00483394i −0.783755 0.621070i \(-0.786698\pi\)
0.779900 + 0.625904i \(0.215270\pi\)
\(542\) 35.6057 + 12.7679i 1.52940 + 0.548428i
\(543\) −20.6722 + 4.71830i −0.887130 + 0.202482i
\(544\) −2.57690 34.9225i −0.110484 1.49729i
\(545\) 12.4622 + 25.8780i 0.533821 + 1.10849i
\(546\) −1.50824 + 11.1724i −0.0645467 + 0.478135i
\(547\) −2.36148 + 4.90367i −0.100970 + 0.209666i −0.945334 0.326104i \(-0.894264\pi\)
0.844364 + 0.535770i \(0.179978\pi\)
\(548\) −22.0172 18.1204i −0.940529 0.774067i
\(549\) 6.04891 + 12.5607i 0.258161 + 0.536077i
\(550\) −2.05546 1.31374i −0.0876452 0.0560181i
\(551\) −1.26426 + 5.53909i −0.0538593 + 0.235973i
\(552\) −7.97881 3.00075i −0.339601 0.127720i
\(553\) −20.6538 0.294893i −0.878288 0.0125401i
\(554\) −14.6280 14.8552i −0.621482 0.631139i
\(555\) 3.07251 + 6.38013i 0.130421 + 0.270821i
\(556\) 0.360350 23.3707i 0.0152823 0.991138i
\(557\) 30.7632 1.30348 0.651739 0.758444i \(-0.274040\pi\)
0.651739 + 0.758444i \(0.274040\pi\)
\(558\) 8.59331 0.901205i 0.363784 0.0381510i
\(559\) 2.85674 12.5162i 0.120827 0.529379i
\(560\) 22.4358 9.58335i 0.948085 0.404970i
\(561\) −7.55914 33.1187i −0.319147 1.39827i
\(562\) −3.30640 9.68809i −0.139472 0.408667i
\(563\) 4.55868 + 5.71640i 0.192125 + 0.240918i 0.868559 0.495586i \(-0.165047\pi\)
−0.676433 + 0.736504i \(0.736475\pi\)
\(564\) 9.76472 + 8.03648i 0.411169 + 0.338397i
\(565\) 35.2445 8.04433i 1.48275 0.338428i
\(566\) −7.30399 21.4014i −0.307010 0.899569i
\(567\) −2.57075 0.625500i −0.107961 0.0262685i
\(568\) −24.3491 + 2.17461i −1.02167 + 0.0912446i
\(569\) 26.6885 1.11884 0.559421 0.828884i \(-0.311024\pi\)
0.559421 + 0.828884i \(0.311024\pi\)
\(570\) −0.225072 2.14614i −0.00942724 0.0898921i
\(571\) −36.4402 8.31724i −1.52498 0.348066i −0.623822 0.781566i \(-0.714421\pi\)
−0.901153 + 0.433501i \(0.857278\pi\)
\(572\) 26.1695 20.2174i 1.09420 0.845332i
\(573\) 13.9485 11.1235i 0.582705 0.464692i
\(574\) −12.0677 + 7.21756i −0.503696 + 0.301255i
\(575\) −0.740654 0.590652i −0.0308874 0.0246319i
\(576\) 3.13410 + 7.36053i 0.130587 + 0.306689i
\(577\) 1.48174 + 1.18165i 0.0616858 + 0.0491928i 0.653847 0.756626i \(-0.273154\pi\)
−0.592162 + 0.805819i \(0.701725\pi\)
\(578\) 25.6518 15.8436i 1.06697 0.659006i
\(579\) 0.938010 + 1.17623i 0.0389824 + 0.0488823i
\(580\) 9.40014 38.4428i 0.390320 1.59625i
\(581\) 15.9701 12.3669i 0.662549 0.513064i
\(582\) −9.17626 14.8570i −0.380368 0.615841i
\(583\) 13.1861 27.3812i 0.546113 1.13401i
\(584\) −21.1051 + 12.5901i −0.873335 + 0.520980i
\(585\) −6.25804 3.01371i −0.258738 0.124602i
\(586\) 22.3364 + 14.2762i 0.922709 + 0.589746i
\(587\) −41.2076 −1.70082 −0.850411 0.526119i \(-0.823647\pi\)
−0.850411 + 0.526119i \(0.823647\pi\)
\(588\) −0.615403 + 13.9865i −0.0253788 + 0.576792i
\(589\) −4.04404 −0.166632
\(590\) −35.2683 22.5416i −1.45197 0.928022i
\(591\) 18.6395 + 8.97629i 0.766725 + 0.369235i
\(592\) 7.36117 + 9.83820i 0.302542 + 0.404348i
\(593\) 17.2897 35.9024i 0.710002 1.47433i −0.163005 0.986625i \(-0.552119\pi\)
0.873007 0.487708i \(-0.162167\pi\)
\(594\) 4.07822 + 6.60290i 0.167331 + 0.270920i
\(595\) 29.1795 + 23.9593i 1.19624 + 0.982236i
\(596\) 31.6762 + 7.74556i 1.29751 + 0.317270i
\(597\) −4.76351 5.97325i −0.194958 0.244469i
\(598\) 10.9262 6.74844i 0.446804 0.275964i
\(599\) −3.76426 3.00190i −0.153803 0.122654i 0.543565 0.839367i \(-0.317074\pi\)
−0.697368 + 0.716713i \(0.745646\pi\)
\(600\) 0.0790860 + 0.885527i 0.00322867 + 0.0361515i
\(601\) 16.6156 + 13.2505i 0.677765 + 0.540499i 0.900758 0.434321i \(-0.143011\pi\)
−0.222994 + 0.974820i \(0.571583\pi\)
\(602\) 2.13286 15.7993i 0.0869287 0.643932i
\(603\) 3.62041 2.88718i 0.147434 0.117575i
\(604\) −16.7004 21.6171i −0.679530 0.879588i
\(605\) −42.9609 9.80554i −1.74661 0.398652i
\(606\) −0.397372 3.78909i −0.0161422 0.153921i
\(607\) 9.17625 0.372452 0.186226 0.982507i \(-0.440374\pi\)
0.186226 + 0.982507i \(0.440374\pi\)
\(608\) −1.09956 3.57921i −0.0445929 0.145156i
\(609\) 17.5516 + 14.4116i 0.711225 + 0.583987i
\(610\) 14.6803 + 43.0148i 0.594389 + 1.74162i
\(611\) −18.5746 + 4.23952i −0.751446 + 0.171513i
\(612\) −7.86745 + 9.55933i −0.318023 + 0.386413i
\(613\) −3.54272 4.44243i −0.143089 0.179428i 0.705123 0.709085i \(-0.250892\pi\)
−0.848212 + 0.529657i \(0.822320\pi\)
\(614\) −8.50165 24.9107i −0.343099 1.00531i
\(615\) −1.92779 8.44619i −0.0777359 0.340583i
\(616\) 30.1039 27.9321i 1.21292 1.12542i
\(617\) 6.13103 26.8618i 0.246826 1.08142i −0.687833 0.725869i \(-0.741438\pi\)
0.934659 0.355546i \(-0.115705\pi\)
\(618\) 7.02324 0.736547i 0.282516 0.0296283i
\(619\) −47.3966 −1.90503 −0.952515 0.304491i \(-0.901514\pi\)
−0.952515 + 0.304491i \(0.901514\pi\)
\(620\) 28.1659 + 0.434287i 1.13117 + 0.0174414i
\(621\) 1.30766 + 2.71538i 0.0524745 + 0.108964i
\(622\) −13.8146 14.0292i −0.553913 0.562520i
\(623\) −2.66645 3.44335i −0.106829 0.137955i
\(624\) −11.6617 3.04284i −0.466842 0.121811i
\(625\) 5.89076 25.8091i 0.235630 1.03236i
\(626\) −1.76148 1.12585i −0.0704031 0.0449979i
\(627\) −1.57602 3.27263i −0.0629400 0.130696i
\(628\) −0.749603 + 0.910805i −0.0299124 + 0.0363451i
\(629\) −8.25046 + 17.1323i −0.328967 + 0.683108i
\(630\) −8.07694 3.02714i −0.321793 0.120604i
\(631\) 13.7680 + 28.5896i 0.548096 + 1.13813i 0.972552 + 0.232684i \(0.0747509\pi\)
−0.424456 + 0.905448i \(0.639535\pi\)
\(632\) 2.97917 21.8802i 0.118505 0.870347i
\(633\) −5.63669 + 1.28654i −0.224038 + 0.0511353i
\(634\) −3.90497 1.40029i −0.155086 0.0556125i
\(635\) 5.76214 7.22549i 0.228664 0.286735i
\(636\) −10.8350 + 2.29786i −0.429634 + 0.0911161i
\(637\) −16.1077 13.6156i −0.638208 0.539470i
\(638\) −6.94810 66.2526i −0.275078 2.62297i
\(639\) 6.75735 + 5.38881i 0.267317 + 0.213178i
\(640\) 7.27379 + 25.0465i 0.287522 + 0.990049i
\(641\) −3.21033 14.0654i −0.126801 0.555549i −0.997919 0.0644769i \(-0.979462\pi\)
0.871119 0.491073i \(-0.163395\pi\)
\(642\) −7.05121 + 19.6636i −0.278289 + 0.776061i
\(643\) −1.38456 + 0.666770i −0.0546018 + 0.0262948i −0.460985 0.887408i \(-0.652504\pi\)
0.406384 + 0.913703i \(0.366790\pi\)
\(644\) 12.7582 9.56869i 0.502743 0.377059i
\(645\) 8.84973 + 4.26180i 0.348458 + 0.167808i
\(646\) 4.12883 4.06565i 0.162446 0.159961i
\(647\) −27.5343 + 13.2598i −1.08249 + 0.521298i −0.888111 0.459629i \(-0.847982\pi\)
−0.194375 + 0.980927i \(0.562268\pi\)
\(648\) 0.995656 2.64739i 0.0391131 0.103999i
\(649\) −68.6893 15.6779i −2.69629 0.615411i
\(650\) −1.12855 0.721311i −0.0442655 0.0282921i
\(651\) −7.22084 + 14.4623i −0.283007 + 0.566824i
\(652\) 6.89930 8.38299i 0.270198 0.328303i
\(653\) −9.00385 + 4.33602i −0.352348 + 0.169682i −0.601682 0.798736i \(-0.705503\pi\)
0.249334 + 0.968417i \(0.419788\pi\)
\(654\) 2.10776 17.4937i 0.0824198 0.684058i
\(655\) 11.2184i 0.438341i
\(656\) −6.10160 13.7382i −0.238227 0.536388i
\(657\) 8.47076 + 1.93340i 0.330476 + 0.0754290i
\(658\) −22.4982 + 7.32140i −0.877071 + 0.285418i
\(659\) 41.9560 9.57619i 1.63437 0.373035i 0.695834 0.718203i \(-0.255035\pi\)
0.938541 + 0.345168i \(0.112178\pi\)
\(660\) 10.6252 + 22.9624i 0.413584 + 0.893810i
\(661\) −7.17974 + 5.72565i −0.279260 + 0.222702i −0.753096 0.657911i \(-0.771440\pi\)
0.473836 + 0.880613i \(0.342869\pi\)
\(662\) 5.42500 5.34199i 0.210848 0.207622i
\(663\) −4.15035 18.1839i −0.161186 0.706203i
\(664\) 11.0624 + 18.5442i 0.429304 + 0.719656i
\(665\) 3.61191 + 1.80338i 0.140064 + 0.0699319i
\(666\) 0.519660 4.31301i 0.0201364 0.167126i
\(667\) 25.8697i 1.00168i
\(668\) −49.0285 + 10.3979i −1.89697 + 0.402306i
\(669\) −0.551575 + 2.41661i −0.0213251 + 0.0934314i
\(670\) 12.8443 7.93318i 0.496219 0.306485i
\(671\) 47.7007 + 59.8148i 1.84147 + 2.30913i
\(672\) −14.7633 2.45861i −0.569507 0.0948430i
\(673\) −11.3713 + 14.2592i −0.438333 + 0.549653i −0.951103 0.308874i \(-0.900048\pi\)
0.512770 + 0.858526i \(0.328619\pi\)
\(674\) 2.65969 22.0746i 0.102447 0.850281i
\(675\) 0.195980 0.245751i 0.00754327 0.00945896i
\(676\) −6.20673 + 4.79504i −0.238721 + 0.184425i
\(677\) −15.9459 + 12.7164i −0.612850 + 0.488731i −0.880032 0.474915i \(-0.842479\pi\)
0.267182 + 0.963646i \(0.413907\pi\)
\(678\) −20.8758 7.48587i −0.801729 0.287493i
\(679\) 32.6657 + 0.466398i 1.25359 + 0.0178987i
\(680\) −29.1930 + 27.8730i −1.11950 + 1.06888i
\(681\) 3.39830 + 1.63654i 0.130223 + 0.0627122i
\(682\) 44.8749 15.3151i 1.71835 0.586447i
\(683\) −10.3060 + 21.4006i −0.394348 + 0.818873i 0.605388 + 0.795930i \(0.293018\pi\)
−0.999737 + 0.0229427i \(0.992696\pi\)
\(684\) −0.592699 + 1.18371i −0.0226624 + 0.0452604i
\(685\) 32.8676i 1.25581i
\(686\) −21.4448 15.0373i −0.818766 0.574128i
\(687\) 6.06843i 0.231525i
\(688\) 16.4912 + 4.30299i 0.628723 + 0.164050i
\(689\) 7.23984 15.0337i 0.275816 0.572738i
\(690\) 3.17360 + 9.29897i 0.120817 + 0.354006i
\(691\) −34.8892 16.8018i −1.32725 0.639169i −0.370161 0.928968i \(-0.620697\pi\)
−0.957088 + 0.289799i \(0.906412\pi\)
\(692\) −1.15880 1.49996i −0.0440509 0.0570198i
\(693\) −14.5177 0.207282i −0.551481 0.00787399i
\(694\) −12.4441 + 34.7027i −0.472371 + 1.31730i
\(695\) −21.0635 + 16.7976i −0.798984 + 0.637168i
\(696\) −17.5597 + 16.7657i −0.665597 + 0.635502i
\(697\) 14.5045 18.1881i 0.549397 0.688922i
\(698\) −20.7286 2.49752i −0.784591 0.0945327i
\(699\) 0.375903 0.471367i 0.0142180 0.0178288i
\(700\) −1.47646 0.765837i −0.0558050 0.0289459i
\(701\) 9.85818 + 12.3618i 0.372338 + 0.466897i 0.932334 0.361598i \(-0.117769\pi\)
−0.559996 + 0.828495i \(0.689197\pi\)
\(702\) 2.23915 + 3.62533i 0.0845113 + 0.136829i
\(703\) −0.452440 + 1.98227i −0.0170641 + 0.0747628i
\(704\) 25.7560 + 35.5527i 0.970717 + 1.33994i
\(705\) 14.5769i 0.548998i
\(706\) −10.4661 1.26102i −0.393897 0.0474593i
\(707\) 6.37695 + 3.18392i 0.239830 + 0.119744i
\(708\) 10.7831 + 23.3037i 0.405254 + 0.875808i
\(709\) 9.16576 + 40.1578i 0.344227 + 1.50816i 0.790053 + 0.613039i \(0.210053\pi\)
−0.445826 + 0.895120i \(0.647090\pi\)
\(710\) 19.7703 + 20.0775i 0.741967 + 0.753496i
\(711\) −6.10391 + 4.86770i −0.228914 + 0.182553i
\(712\) 3.99837 2.38519i 0.149845 0.0893889i
\(713\) 17.9520 4.09743i 0.672309 0.153450i
\(714\) −7.16741 22.0250i −0.268234 0.824264i
\(715\) −37.1615 8.48187i −1.38976 0.317204i
\(716\) 6.44554 + 30.3923i 0.240881 + 1.13581i
\(717\) 10.6712i 0.398524i
\(718\) 19.7934 + 2.38484i 0.738682 + 0.0890013i
\(719\) 28.1484 13.5556i 1.04976 0.505538i 0.172229 0.985057i \(-0.444903\pi\)
0.877531 + 0.479519i \(0.159189\pi\)
\(720\) 4.25513 8.18065i 0.158579 0.304875i
\(721\) −5.90153 + 11.8199i −0.219784 + 0.440198i
\(722\) −14.1370 + 22.1186i −0.526125 + 0.823168i
\(723\) −8.19615 1.87072i −0.304818 0.0695727i
\(724\) 37.9198 + 18.9869i 1.40928 + 0.705642i
\(725\) −2.43088 + 1.17065i −0.0902805 + 0.0434768i
\(726\) 18.9672 + 19.2619i 0.703938 + 0.714876i
\(727\) −40.0273 19.2761i −1.48453 0.714911i −0.496337 0.868130i \(-0.665322\pi\)
−0.988192 + 0.153219i \(0.951036\pi\)
\(728\) 16.5285 15.3361i 0.612589 0.568395i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 26.6638 + 9.56140i 0.986870 + 0.353883i
\(731\) 5.86916 + 25.7145i 0.217079 + 0.951084i
\(732\) 6.62282 27.0847i 0.244786 1.00108i
\(733\) −13.7695 10.9808i −0.508589 0.405586i 0.335294 0.942114i \(-0.391164\pi\)
−0.843883 + 0.536528i \(0.819736\pi\)
\(734\) 40.3723 4.23395i 1.49017 0.156278i
\(735\) 12.8985 9.69694i 0.475768 0.357677i
\(736\) 8.50753 + 14.7745i 0.313592 + 0.544595i
\(737\) 15.8440 19.8678i 0.583623 0.731840i
\(738\) −1.79395 + 5.00278i −0.0660364 + 0.184155i
\(739\) 42.9413 9.80108i 1.57962 0.360538i 0.659356 0.751831i \(-0.270829\pi\)
0.920266 + 0.391292i \(0.127972\pi\)
\(740\) 3.36402 13.7575i 0.123664 0.505736i
\(741\) −0.865312 1.79684i −0.0317880 0.0660085i
\(742\) 7.27210 19.4032i 0.266967 0.712315i
\(743\) −17.8283 + 37.0209i −0.654059 + 1.35817i 0.265078 + 0.964227i \(0.414602\pi\)
−0.919136 + 0.393940i \(0.871112\pi\)
\(744\) −14.4156 9.52988i −0.528502 0.349382i
\(745\) −16.3084 33.8647i −0.597493 1.24071i
\(746\) −13.6658 + 21.3813i −0.500340 + 0.782825i
\(747\) 1.69880 7.44293i 0.0621558 0.272323i
\(748\) −30.4187 + 60.7509i −1.11222 + 2.22127i
\(749\) −23.9279 30.8995i −0.874306 1.12904i
\(750\) −10.8847 + 10.7182i −0.397455 + 0.391374i
\(751\) 19.2887 + 40.0534i 0.703854 + 1.46157i 0.878899 + 0.477008i \(0.158279\pi\)
−0.175044 + 0.984561i \(0.556007\pi\)
\(752\) −4.86531 24.8207i −0.177420 0.905118i
\(753\) 13.3096 0.485027
\(754\) −3.81486 36.3760i −0.138929 1.32474i
\(755\) −7.00638 + 30.6969i −0.254988 + 1.11718i
\(756\) 3.17491 + 4.23319i 0.115470 + 0.153960i
\(757\) 7.21552 + 31.6133i 0.262253 + 1.14900i 0.918801 + 0.394720i \(0.129159\pi\)
−0.656549 + 0.754284i \(0.727984\pi\)
\(758\) 13.5320 4.61829i 0.491506 0.167744i
\(759\) 10.3120 + 12.9308i 0.374301 + 0.469359i
\(760\) −2.38005 + 3.60024i −0.0863334 + 0.130594i
\(761\) −22.0035 + 5.02216i −0.797627 + 0.182053i −0.601864 0.798598i \(-0.705575\pi\)
−0.195762 + 0.980651i \(0.562718\pi\)
\(762\) −5.36563 + 1.83121i −0.194376 + 0.0663378i
\(763\) 25.4766 + 20.9188i 0.922313 + 0.757312i
\(764\) −35.6773 0.550104i −1.29076 0.0199021i
\(765\) 14.2703 0.515944
\(766\) −21.3652 + 2.24063i −0.771957 + 0.0809573i
\(767\) −37.7139 8.60795i −1.36177 0.310815i
\(768\) 4.51495 15.3498i 0.162919 0.553887i
\(769\) −4.71876 + 3.76308i −0.170163 + 0.135700i −0.704868 0.709338i \(-0.748994\pi\)
0.534706 + 0.845038i \(0.320423\pi\)
\(770\) −46.9093 6.33260i −1.69049 0.228211i
\(771\) 11.7849 + 9.39816i 0.424423 + 0.338466i
\(772\) 0.0463885 3.00854i