Properties

Label 392.2.z.a.109.28
Level $392$
Weight $2$
Character 392.109
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 109.28
Character \(\chi\) \(=\) 392.109
Dual form 392.2.z.a.205.28

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0204029 + 1.41407i) q^{2} +(0.290045 + 1.92432i) q^{3} +(-1.99917 - 0.0577020i) q^{4} +(1.10812 + 0.434904i) q^{5} +(-2.72704 + 0.370881i) q^{6} +(1.77530 + 1.96171i) q^{7} +(0.122383 - 2.82578i) q^{8} +(-0.752171 + 0.232014i) q^{9} +O(q^{10})\) \(q+(-0.0204029 + 1.41407i) q^{2} +(0.290045 + 1.92432i) q^{3} +(-1.99917 - 0.0577020i) q^{4} +(1.10812 + 0.434904i) q^{5} +(-2.72704 + 0.370881i) q^{6} +(1.77530 + 1.96171i) q^{7} +(0.122383 - 2.82578i) q^{8} +(-0.752171 + 0.232014i) q^{9} +(-0.637591 + 1.55808i) q^{10} +(-1.15441 + 3.74250i) q^{11} +(-0.468811 - 3.86378i) q^{12} +(-4.65240 + 1.06188i) q^{13} +(-2.81021 + 2.47037i) q^{14} +(-0.515491 + 2.25851i) q^{15} +(3.99334 + 0.230712i) q^{16} +(2.11461 - 1.44172i) q^{17} +(-0.312737 - 1.06835i) q^{18} +(3.04750 - 1.75947i) q^{19} +(-2.19021 - 0.933386i) q^{20} +(-3.26004 + 3.98524i) q^{21} +(-5.26859 - 1.70877i) q^{22} +(-3.64260 - 2.48348i) q^{23} +(5.47320 - 0.584098i) q^{24} +(-2.62648 - 2.43702i) q^{25} +(-1.40665 - 6.60047i) q^{26} +(1.86846 + 3.87989i) q^{27} +(-3.43594 - 4.02422i) q^{28} +(2.00797 - 4.16959i) q^{29} +(-3.18317 - 0.775019i) q^{30} +(1.49610 - 2.59132i) q^{31} +(-0.407718 + 5.64214i) q^{32} +(-7.53661 - 1.13596i) q^{33} +(1.99554 + 3.01961i) q^{34} +(1.11409 + 2.94589i) q^{35} +(1.51710 - 0.420433i) q^{36} +(-1.67124 + 0.125242i) q^{37} +(2.42583 + 4.34526i) q^{38} +(-3.39281 - 8.64473i) q^{39} +(1.36456 - 3.07807i) q^{40} +(1.46431 + 1.83619i) q^{41} +(-5.56888 - 4.69122i) q^{42} +(6.23910 + 4.97552i) q^{43} +(2.52381 - 7.41527i) q^{44} +(-0.934397 - 0.0700234i) q^{45} +(3.58613 - 5.10021i) q^{46} +(8.15459 - 7.56636i) q^{47} +(0.714284 + 7.75139i) q^{48} +(-0.696588 + 6.96525i) q^{49} +(3.49969 - 3.66429i) q^{50} +(3.38766 + 3.65103i) q^{51} +(9.36220 - 1.85442i) q^{52} +(0.517548 + 0.0387849i) q^{53} +(-5.52454 + 2.56296i) q^{54} +(-2.90684 + 3.64507i) q^{55} +(5.76062 - 4.77654i) q^{56} +(4.26970 + 5.35404i) q^{57} +(5.85511 + 2.92447i) q^{58} +(-9.32841 + 3.66113i) q^{59} +(1.16087 - 4.48540i) q^{60} +(-3.74141 + 0.280380i) q^{61} +(3.63378 + 2.16846i) q^{62} +(-1.79048 - 1.06364i) q^{63} +(-7.97004 - 0.691656i) q^{64} +(-5.61722 - 0.846659i) q^{65} +(1.76009 - 10.6341i) q^{66} +(9.58971 + 5.53662i) q^{67} +(-4.31065 + 2.76021i) q^{68} +(3.72250 - 7.72985i) q^{69} +(-4.18841 + 1.51529i) q^{70} +(-7.89455 + 3.80181i) q^{71} +(0.563567 + 2.15386i) q^{72} +(1.56628 + 1.45330i) q^{73} +(-0.143002 - 2.36579i) q^{74} +(3.92781 - 5.76104i) q^{75} +(-6.19398 + 3.34163i) q^{76} +(-9.39111 + 4.37947i) q^{77} +(12.2934 - 4.62127i) q^{78} +(6.40251 + 11.0895i) q^{79} +(4.32475 + 1.99237i) q^{80} +(-8.87532 + 6.05109i) q^{81} +(-2.62637 + 2.03317i) q^{82} +(5.80506 + 1.32497i) q^{83} +(6.74732 - 7.77905i) q^{84} +(2.97024 - 0.677938i) q^{85} +(-7.16301 + 8.72099i) q^{86} +(8.60604 + 2.65461i) q^{87} +(10.4342 + 3.72012i) q^{88} +(7.80157 - 2.40646i) q^{89} +(0.118082 - 1.31987i) q^{90} +(-10.3425 - 7.24149i) q^{91} +(7.13886 + 5.17508i) q^{92} +(5.42048 + 2.12738i) q^{93} +(10.5330 + 11.6855i) q^{94} +(4.14218 - 0.624333i) q^{95} +(-10.9756 + 0.851894i) q^{96} +12.3467 q^{97} +(-9.83512 - 1.12713i) q^{98} -3.08284i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} + O(q^{10}) \) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{20}{21}\right)\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0204029 + 1.41407i −0.0144270 + 0.999896i
\(3\) 0.290045 + 1.92432i 0.167457 + 1.11101i 0.901776 + 0.432203i \(0.142264\pi\)
−0.734319 + 0.678805i \(0.762498\pi\)
\(4\) −1.99917 0.0577020i −0.999584 0.0288510i
\(5\) 1.10812 + 0.434904i 0.495565 + 0.194495i 0.599943 0.800043i \(-0.295190\pi\)
−0.104378 + 0.994538i \(0.533285\pi\)
\(6\) −2.72704 + 0.370881i −1.11331 + 0.151412i
\(7\) 1.77530 + 1.96171i 0.671002 + 0.741456i
\(8\) 0.122383 2.82578i 0.0432690 0.999063i
\(9\) −0.752171 + 0.232014i −0.250724 + 0.0773380i
\(10\) −0.637591 + 1.55808i −0.201624 + 0.492707i
\(11\) −1.15441 + 3.74250i −0.348067 + 1.12841i 0.597195 + 0.802096i \(0.296282\pi\)
−0.945263 + 0.326310i \(0.894195\pi\)
\(12\) −0.468811 3.86378i −0.135334 1.11538i
\(13\) −4.65240 + 1.06188i −1.29034 + 0.294513i −0.811999 0.583659i \(-0.801620\pi\)
−0.478345 + 0.878172i \(0.658763\pi\)
\(14\) −2.81021 + 2.47037i −0.751059 + 0.660235i
\(15\) −0.515491 + 2.25851i −0.133099 + 0.583146i
\(16\) 3.99334 + 0.230712i 0.998335 + 0.0576780i
\(17\) 2.11461 1.44172i 0.512868 0.349668i −0.279068 0.960271i \(-0.590026\pi\)
0.791936 + 0.610604i \(0.209073\pi\)
\(18\) −0.312737 1.06835i −0.0737128 0.251813i
\(19\) 3.04750 1.75947i 0.699144 0.403651i −0.107885 0.994163i \(-0.534408\pi\)
0.807028 + 0.590513i \(0.201074\pi\)
\(20\) −2.19021 0.933386i −0.489747 0.208711i
\(21\) −3.26004 + 3.98524i −0.711399 + 0.869651i
\(22\) −5.26859 1.70877i −1.12327 0.364310i
\(23\) −3.64260 2.48348i −0.759534 0.517842i 0.120522 0.992711i \(-0.461543\pi\)
−0.880057 + 0.474869i \(0.842495\pi\)
\(24\) 5.47320 0.584098i 1.11721 0.119228i
\(25\) −2.62648 2.43702i −0.525296 0.487403i
\(26\) −1.40665 6.60047i −0.275866 1.29446i
\(27\) 1.86846 + 3.87989i 0.359584 + 0.746685i
\(28\) −3.43594 4.02422i −0.649331 0.760506i
\(29\) 2.00797 4.16959i 0.372871 0.774274i −0.627119 0.778924i \(-0.715766\pi\)
0.999989 + 0.00465011i \(0.00148018\pi\)
\(30\) −3.18317 0.775019i −0.581165 0.141498i
\(31\) 1.49610 2.59132i 0.268708 0.465416i −0.699821 0.714319i \(-0.746737\pi\)
0.968528 + 0.248903i \(0.0800700\pi\)
\(32\) −0.407718 + 5.64214i −0.0720750 + 0.997399i
\(33\) −7.53661 1.13596i −1.31195 0.197745i
\(34\) 1.99554 + 3.01961i 0.342232 + 0.517859i
\(35\) 1.11409 + 2.94589i 0.188316 + 0.497945i
\(36\) 1.51710 0.420433i 0.252851 0.0700722i
\(37\) −1.67124 + 0.125242i −0.274750 + 0.0205896i −0.211392 0.977401i \(-0.567800\pi\)
−0.0633572 + 0.997991i \(0.520181\pi\)
\(38\) 2.42583 + 4.34526i 0.393522 + 0.704894i
\(39\) −3.39281 8.64473i −0.543284 1.38426i
\(40\) 1.36456 3.07807i 0.215755 0.486685i
\(41\) 1.46431 + 1.83619i 0.228687 + 0.286764i 0.882915 0.469533i \(-0.155578\pi\)
−0.654228 + 0.756297i \(0.727006\pi\)
\(42\) −5.56888 4.69122i −0.859297 0.723871i
\(43\) 6.23910 + 4.97552i 0.951454 + 0.758760i 0.970510 0.241059i \(-0.0774947\pi\)
−0.0190561 + 0.999818i \(0.506066\pi\)
\(44\) 2.52381 7.41527i 0.380478 1.11789i
\(45\) −0.934397 0.0700234i −0.139292 0.0104385i
\(46\) 3.58613 5.10021i 0.528746 0.751984i
\(47\) 8.15459 7.56636i 1.18947 1.10367i 0.197098 0.980384i \(-0.436848\pi\)
0.992372 0.123283i \(-0.0393421\pi\)
\(48\) 0.714284 + 7.75139i 0.103098 + 1.11882i
\(49\) −0.696588 + 6.96525i −0.0995126 + 0.995036i
\(50\) 3.49969 3.66429i 0.494931 0.518209i
\(51\) 3.38766 + 3.65103i 0.474367 + 0.511246i
\(52\) 9.36220 1.85442i 1.29830 0.257162i
\(53\) 0.517548 + 0.0387849i 0.0710907 + 0.00532751i 0.110228 0.993906i \(-0.464842\pi\)
−0.0391372 + 0.999234i \(0.512461\pi\)
\(54\) −5.52454 + 2.56296i −0.751795 + 0.348775i
\(55\) −2.90684 + 3.64507i −0.391959 + 0.491501i
\(56\) 5.76062 4.77654i 0.769795 0.638292i
\(57\) 4.26970 + 5.35404i 0.565536 + 0.709160i
\(58\) 5.85511 + 2.92447i 0.768814 + 0.384002i
\(59\) −9.32841 + 3.66113i −1.21446 + 0.476639i −0.884136 0.467230i \(-0.845252\pi\)
−0.330320 + 0.943869i \(0.607157\pi\)
\(60\) 1.16087 4.48540i 0.149868 0.579063i
\(61\) −3.74141 + 0.280380i −0.479039 + 0.0358990i −0.312062 0.950062i \(-0.601020\pi\)
−0.166977 + 0.985961i \(0.553401\pi\)
\(62\) 3.63378 + 2.16846i 0.461491 + 0.275394i
\(63\) −1.79048 1.06364i −0.225579 0.134007i
\(64\) −7.97004 0.691656i −0.996256 0.0864570i
\(65\) −5.61722 0.846659i −0.696730 0.105015i
\(66\) 1.76009 10.6341i 0.216652 1.30897i
\(67\) 9.58971 + 5.53662i 1.17157 + 0.676406i 0.954049 0.299650i \(-0.0968699\pi\)
0.217520 + 0.976056i \(0.430203\pi\)
\(68\) −4.31065 + 2.76021i −0.522743 + 0.334725i
\(69\) 3.72250 7.72985i 0.448137 0.930565i
\(70\) −4.18841 + 1.51529i −0.500611 + 0.181112i
\(71\) −7.89455 + 3.80181i −0.936911 + 0.451192i −0.839078 0.544011i \(-0.816905\pi\)
−0.0978322 + 0.995203i \(0.531191\pi\)
\(72\) 0.563567 + 2.15386i 0.0664170 + 0.253835i
\(73\) 1.56628 + 1.45330i 0.183319 + 0.170096i 0.766494 0.642251i \(-0.221999\pi\)
−0.583175 + 0.812347i \(0.698190\pi\)
\(74\) −0.143002 2.36579i −0.0166237 0.275018i
\(75\) 3.92781 5.76104i 0.453544 0.665227i
\(76\) −6.19398 + 3.34163i −0.710498 + 0.383312i
\(77\) −9.39111 + 4.37947i −1.07022 + 0.499086i
\(78\) 12.2934 4.62127i 1.39196 0.523256i
\(79\) 6.40251 + 11.0895i 0.720338 + 1.24766i 0.960864 + 0.277020i \(0.0893468\pi\)
−0.240526 + 0.970643i \(0.577320\pi\)
\(80\) 4.32475 + 1.99237i 0.483522 + 0.222754i
\(81\) −8.87532 + 6.05109i −0.986147 + 0.672343i
\(82\) −2.62637 + 2.03317i −0.290034 + 0.224526i
\(83\) 5.80506 + 1.32497i 0.637188 + 0.145434i 0.528898 0.848685i \(-0.322605\pi\)
0.108290 + 0.994119i \(0.465462\pi\)
\(84\) 6.74732 7.77905i 0.736193 0.848764i
\(85\) 2.97024 0.677938i 0.322168 0.0735327i
\(86\) −7.16301 + 8.72099i −0.772407 + 0.940409i
\(87\) 8.60604 + 2.65461i 0.922664 + 0.284604i
\(88\) 10.4342 + 3.72012i 1.11229 + 0.396566i
\(89\) 7.80157 2.40646i 0.826964 0.255085i 0.147750 0.989025i \(-0.452797\pi\)
0.679214 + 0.733940i \(0.262321\pi\)
\(90\) 0.118082 1.31987i 0.0124469 0.139127i
\(91\) −10.3425 7.24149i −1.08419 0.759114i
\(92\) 7.13886 + 5.17508i 0.744278 + 0.539539i
\(93\) 5.42048 + 2.12738i 0.562078 + 0.220599i
\(94\) 10.5330 + 11.6855i 1.08639 + 1.20527i
\(95\) 4.14218 0.624333i 0.424979 0.0640553i
\(96\) −10.9756 + 0.851894i −1.12019 + 0.0869461i
\(97\) 12.3467 1.25361 0.626807 0.779175i \(-0.284362\pi\)
0.626807 + 0.779175i \(0.284362\pi\)
\(98\) −9.83512 1.12713i −0.993497 0.113858i
\(99\) 3.08284i 0.309837i
\(100\) 5.11015 + 5.02356i 0.511015 + 0.502356i
\(101\) −2.12535 14.1007i −0.211480 1.40308i −0.802612 0.596502i \(-0.796557\pi\)
0.591132 0.806575i \(-0.298681\pi\)
\(102\) −5.23191 + 4.71588i −0.518037 + 0.466942i
\(103\) 6.17267 15.7277i 0.608211 1.54970i −0.211778 0.977318i \(-0.567925\pi\)
0.819989 0.572379i \(-0.193979\pi\)
\(104\) 2.43126 + 13.2766i 0.238405 + 1.30188i
\(105\) −5.34570 + 2.99831i −0.521687 + 0.292605i
\(106\) −0.0654039 + 0.731056i −0.00635258 + 0.0710065i
\(107\) −2.72987 8.85002i −0.263906 0.855564i −0.986425 0.164212i \(-0.947492\pi\)
0.722519 0.691352i \(-0.242984\pi\)
\(108\) −3.51148 7.86436i −0.337892 0.756748i
\(109\) −1.82393 + 5.91302i −0.174700 + 0.566365i 0.825298 + 0.564697i \(0.191007\pi\)
−0.999999 + 0.00166754i \(0.999469\pi\)
\(110\) −5.09506 4.18484i −0.485795 0.399009i
\(111\) −0.725739 3.17967i −0.0688841 0.301801i
\(112\) 6.63681 + 8.24335i 0.627119 + 0.778923i
\(113\) −3.49296 + 15.3037i −0.328590 + 1.43965i 0.493230 + 0.869899i \(0.335816\pi\)
−0.821820 + 0.569747i \(0.807041\pi\)
\(114\) −7.65808 + 5.92841i −0.717245 + 0.555246i
\(115\) −2.95635 4.33616i −0.275681 0.404349i
\(116\) −4.25486 + 8.21985i −0.395054 + 0.763194i
\(117\) 3.25303 1.87814i 0.300743 0.173634i
\(118\) −4.98676 13.2657i −0.459068 1.22121i
\(119\) 6.58230 + 1.58876i 0.603398 + 0.145641i
\(120\) 6.31897 + 1.73307i 0.576841 + 0.158207i
\(121\) −3.58502 2.44423i −0.325911 0.222202i
\(122\) −0.320140 5.29632i −0.0289841 0.479507i
\(123\) −3.10870 + 3.35038i −0.280302 + 0.302094i
\(124\) −3.14048 + 5.09416i −0.282024 + 0.457469i
\(125\) −4.43306 9.20535i −0.396505 0.823351i
\(126\) 1.54059 2.51015i 0.137247 0.223622i
\(127\) 14.5236 + 6.99417i 1.28876 + 0.620633i 0.947626 0.319383i \(-0.103476\pi\)
0.341131 + 0.940016i \(0.389190\pi\)
\(128\) 1.14066 11.2561i 0.100821 0.994905i
\(129\) −7.76488 + 13.4492i −0.683660 + 1.18413i
\(130\) 1.31184 7.92584i 0.115056 0.695143i
\(131\) 1.41227 9.36979i 0.123390 0.818642i −0.838440 0.544994i \(-0.816532\pi\)
0.961830 0.273647i \(-0.0882302\pi\)
\(132\) 15.0014 + 2.70585i 1.30570 + 0.235514i
\(133\) 8.86181 + 2.85470i 0.768416 + 0.247533i
\(134\) −8.02481 + 13.4475i −0.693238 + 1.16169i
\(135\) 0.383089 + 5.11196i 0.0329710 + 0.439968i
\(136\) −3.81518 6.15186i −0.327149 0.527518i
\(137\) −5.55591 14.1562i −0.474673 1.20945i −0.945034 0.326973i \(-0.893971\pi\)
0.470360 0.882474i \(-0.344124\pi\)
\(138\) 10.8546 + 5.42158i 0.924003 + 0.461515i
\(139\) 4.67166 3.72552i 0.396245 0.315995i −0.405016 0.914309i \(-0.632734\pi\)
0.801261 + 0.598315i \(0.204163\pi\)
\(140\) −2.05727 5.95360i −0.173871 0.503171i
\(141\) 16.9253 + 13.4975i 1.42537 + 1.13669i
\(142\) −5.21495 11.2410i −0.437629 0.943322i
\(143\) 1.39668 18.6375i 0.116797 1.55854i
\(144\) −3.05720 + 0.752976i −0.254767 + 0.0627480i
\(145\) 4.03843 3.74712i 0.335374 0.311181i
\(146\) −2.08702 + 2.18518i −0.172723 + 0.180846i
\(147\) −13.6054 + 0.679777i −1.12216 + 0.0560671i
\(148\) 3.34831 0.153946i 0.275229 0.0126543i
\(149\) −12.6620 13.6464i −1.03731 1.11796i −0.992901 0.118945i \(-0.962049\pi\)
−0.0444131 0.999013i \(-0.514142\pi\)
\(150\) 8.06635 + 5.67172i 0.658615 + 0.463094i
\(151\) −0.411488 + 5.49092i −0.0334864 + 0.446845i 0.955110 + 0.296253i \(0.0957370\pi\)
−0.988596 + 0.150592i \(0.951882\pi\)
\(152\) −4.59892 8.82688i −0.373022 0.715955i
\(153\) −1.25605 + 1.57504i −0.101546 + 0.127334i
\(154\) −6.00125 13.3690i −0.483594 1.07731i
\(155\) 2.78483 2.22083i 0.223683 0.178381i
\(156\) 6.28397 + 17.4780i 0.503120 + 1.39936i
\(157\) 6.18392 2.42701i 0.493530 0.193696i −0.105505 0.994419i \(-0.533646\pi\)
0.599036 + 0.800722i \(0.295551\pi\)
\(158\) −15.8119 + 8.82731i −1.25792 + 0.702263i
\(159\) 0.0754776 + 1.00718i 0.00598576 + 0.0798745i
\(160\) −2.90559 + 6.07483i −0.229707 + 0.480258i
\(161\) −1.59486 11.5546i −0.125692 0.910634i
\(162\) −8.37556 12.6737i −0.658046 0.995744i
\(163\) 1.24761 8.27736i 0.0977204 0.648333i −0.885325 0.464972i \(-0.846064\pi\)
0.983046 0.183360i \(-0.0586976\pi\)
\(164\) −2.82145 3.75534i −0.220318 0.293243i
\(165\) −7.85740 4.53647i −0.611698 0.353164i
\(166\) −1.99203 + 8.18171i −0.154612 + 0.635024i
\(167\) −11.2602 5.42265i −0.871344 0.419617i −0.0558883 0.998437i \(-0.517799\pi\)
−0.815455 + 0.578820i \(0.803513\pi\)
\(168\) 10.8624 + 9.69987i 0.838055 + 0.748361i
\(169\) 8.80466 4.24010i 0.677282 0.326162i
\(170\) 0.898048 + 4.21395i 0.0688771 + 0.323195i
\(171\) −1.88402 + 2.03049i −0.144074 + 0.155275i
\(172\) −12.1859 10.3069i −0.929167 0.785894i
\(173\) −2.37782 + 3.48762i −0.180782 + 0.265159i −0.905924 0.423441i \(-0.860822\pi\)
0.725141 + 0.688600i \(0.241774\pi\)
\(174\) −3.92938 + 12.1153i −0.297886 + 0.918462i
\(175\) 0.117912 9.47883i 0.00891330 0.716532i
\(176\) −5.47339 + 14.6787i −0.412572 + 1.10645i
\(177\) −9.75085 16.8890i −0.732919 1.26945i
\(178\) 3.24373 + 11.0810i 0.243128 + 0.830558i
\(179\) 12.1798 + 17.8645i 0.910361 + 1.33525i 0.941950 + 0.335753i \(0.108991\pi\)
−0.0315892 + 0.999501i \(0.510057\pi\)
\(180\) 1.86397 + 0.193905i 0.138932 + 0.0144528i
\(181\) −1.50629 0.343801i −0.111962 0.0255545i 0.166173 0.986097i \(-0.446859\pi\)
−0.278135 + 0.960542i \(0.589716\pi\)
\(182\) 10.4510 14.4773i 0.774677 1.07313i
\(183\) −1.62472 7.11836i −0.120103 0.526204i
\(184\) −7.46356 + 9.98924i −0.550221 + 0.736416i
\(185\) −1.90639 0.588044i −0.140161 0.0432339i
\(186\) −3.11885 + 7.62151i −0.228685 + 0.558837i
\(187\) 2.95450 + 9.57825i 0.216054 + 0.700431i
\(188\) −16.7390 + 14.6559i −1.22082 + 1.06889i
\(189\) −4.29413 + 10.5533i −0.312352 + 0.767643i
\(190\) 0.798337 + 5.87006i 0.0579174 + 0.425859i
\(191\) −2.03779 + 5.19221i −0.147449 + 0.375695i −0.985448 0.169977i \(-0.945630\pi\)
0.837999 + 0.545673i \(0.183726\pi\)
\(192\) −0.980702 15.5375i −0.0707761 1.12133i
\(193\) 10.6741 1.60886i 0.768337 0.115808i 0.246834 0.969058i \(-0.420610\pi\)
0.521503 + 0.853249i \(0.325372\pi\)
\(194\) −0.251907 + 17.4590i −0.0180859 + 1.25348i
\(195\) 11.0549i 0.791658i
\(196\) 1.79451 13.8845i 0.128179 0.991751i
\(197\) 2.11833i 0.150925i 0.997149 + 0.0754625i \(0.0240433\pi\)
−0.997149 + 0.0754625i \(0.975957\pi\)
\(198\) 4.35934 + 0.0628988i 0.309805 + 0.00447002i
\(199\) −12.5390 + 1.88996i −0.888869 + 0.133975i −0.577574 0.816338i \(-0.696001\pi\)
−0.311294 + 0.950314i \(0.600763\pi\)
\(200\) −7.20790 + 7.12360i −0.509676 + 0.503714i
\(201\) −7.87280 + 20.0596i −0.555304 + 1.41489i
\(202\) 19.9828 2.71768i 1.40598 0.191216i
\(203\) 11.7443 3.46325i 0.824286 0.243072i
\(204\) −6.56182 7.49449i −0.459420 0.524719i
\(205\) 0.824061 + 2.67154i 0.0575549 + 0.186589i
\(206\) 22.1141 + 9.04945i 1.54076 + 0.630505i
\(207\) 3.31606 + 1.02287i 0.230482 + 0.0710943i
\(208\) −18.8236 + 3.16709i −1.30518 + 0.219598i
\(209\) 3.06677 + 13.4364i 0.212133 + 0.929416i
\(210\) −4.13074 7.62034i −0.285048 0.525854i
\(211\) −21.6885 4.95025i −1.49309 0.340789i −0.603435 0.797412i \(-0.706202\pi\)
−0.889660 + 0.456623i \(0.849059\pi\)
\(212\) −1.03243 0.107401i −0.0709074 0.00737633i
\(213\) −9.60569 14.0890i −0.658171 0.965359i
\(214\) 12.5702 3.67965i 0.859282 0.251536i
\(215\) 4.74978 + 8.22686i 0.323932 + 0.561067i
\(216\) 11.1924 4.80501i 0.761544 0.326939i
\(217\) 7.73946 1.66548i 0.525389 0.113060i
\(218\) −8.32419 2.69979i −0.563785 0.182853i
\(219\) −2.34232 + 3.43555i −0.158279 + 0.232153i
\(220\) 6.02160 7.11937i 0.405976 0.479988i
\(221\) −8.30708 + 8.95291i −0.558795 + 0.602238i
\(222\) 4.51107 0.961369i 0.302763 0.0645229i
\(223\) −9.63843 + 4.64162i −0.645437 + 0.310826i −0.727813 0.685775i \(-0.759463\pi\)
0.0823766 + 0.996601i \(0.473749\pi\)
\(224\) −11.7921 + 9.21670i −0.787890 + 0.615816i
\(225\) 2.54098 + 1.22367i 0.169399 + 0.0815782i
\(226\) −21.5691 5.25151i −1.43476 0.349325i
\(227\) −10.7692 6.21763i −0.714780 0.412678i 0.0980485 0.995182i \(-0.468740\pi\)
−0.812828 + 0.582503i \(0.802073\pi\)
\(228\) −8.22691 10.9500i −0.544841 0.725181i
\(229\) 3.94116 26.1479i 0.260439 1.72790i −0.350796 0.936452i \(-0.614089\pi\)
0.611235 0.791449i \(-0.290673\pi\)
\(230\) 6.19194 4.09200i 0.408285 0.269819i
\(231\) −11.1513 16.8013i −0.733705 1.10544i
\(232\) −11.5366 6.18436i −0.757415 0.406023i
\(233\) −1.50368 20.0652i −0.0985090 1.31451i −0.799208 0.601055i \(-0.794747\pi\)
0.700699 0.713457i \(-0.252872\pi\)
\(234\) 2.58944 + 4.63832i 0.169277 + 0.303217i
\(235\) 12.3269 4.83794i 0.804116 0.315592i
\(236\) 18.8603 6.78095i 1.22770 0.441402i
\(237\) −19.4827 + 15.5369i −1.26554 + 1.00923i
\(238\) −2.38091 + 9.27539i −0.154331 + 0.601235i
\(239\) −9.27210 + 11.6268i −0.599762 + 0.752078i −0.985341 0.170597i \(-0.945430\pi\)
0.385579 + 0.922675i \(0.374002\pi\)
\(240\) −2.57960 + 8.90009i −0.166512 + 0.574498i
\(241\) 1.89431 25.2779i 0.122024 1.62829i −0.514820 0.857298i \(-0.672141\pi\)
0.636844 0.770993i \(-0.280240\pi\)
\(242\) 3.52944 5.01959i 0.226881 0.322671i
\(243\) −5.43130 5.85355i −0.348418 0.375505i
\(244\) 7.49589 0.344640i 0.479875 0.0220633i
\(245\) −3.80111 + 7.41536i −0.242844 + 0.473750i
\(246\) −4.67423 4.46426i −0.298018 0.284631i
\(247\) −12.3098 + 11.4219i −0.783256 + 0.726755i
\(248\) −7.13941 4.54479i −0.453353 0.288594i
\(249\) −0.865936 + 11.5551i −0.0548764 + 0.732275i
\(250\) 13.1074 6.08083i 0.828986 0.384585i
\(251\) −18.2316 14.5392i −1.15077 0.917706i −0.153254 0.988187i \(-0.548975\pi\)
−0.997513 + 0.0704810i \(0.977547\pi\)
\(252\) 3.51809 + 2.22972i 0.221619 + 0.140459i
\(253\) 13.4995 10.7655i 0.848705 0.676819i
\(254\) −10.1865 + 20.3946i −0.639161 + 1.27967i
\(255\) 2.16607 + 5.51907i 0.135645 + 0.345617i
\(256\) 15.8935 + 1.84262i 0.993346 + 0.115164i
\(257\) 1.22337 + 16.3247i 0.0763117 + 1.01831i 0.895581 + 0.444899i \(0.146761\pi\)
−0.819269 + 0.573409i \(0.805620\pi\)
\(258\) −18.8596 11.2545i −1.17415 0.700672i
\(259\) −3.21264 3.05613i −0.199624 0.189899i
\(260\) 11.1809 + 2.01674i 0.693410 + 0.125073i
\(261\) −0.542933 + 3.60212i −0.0336067 + 0.222966i
\(262\) 13.2207 + 2.18821i 0.816777 + 0.135188i
\(263\) −14.6725 + 25.4136i −0.904747 + 1.56707i −0.0834904 + 0.996509i \(0.526607\pi\)
−0.821257 + 0.570559i \(0.806727\pi\)
\(264\) −4.13233 + 21.1578i −0.254327 + 1.30217i
\(265\) 0.556636 + 0.268062i 0.0341939 + 0.0164669i
\(266\) −4.21753 + 12.4729i −0.258594 + 0.764765i
\(267\) 6.89362 + 14.3147i 0.421883 + 0.876048i
\(268\) −18.8520 11.6220i −1.15157 0.709925i
\(269\) 6.07796 6.55048i 0.370580 0.399390i −0.520038 0.854143i \(-0.674082\pi\)
0.890617 + 0.454753i \(0.150273\pi\)
\(270\) −7.23647 + 0.437414i −0.440398 + 0.0266202i
\(271\) −8.76628 5.97675i −0.532514 0.363062i 0.267012 0.963693i \(-0.413964\pi\)
−0.799526 + 0.600631i \(0.794916\pi\)
\(272\) 8.77698 5.26940i 0.532182 0.319504i
\(273\) 10.9352 22.0027i 0.661826 1.33166i
\(274\) 20.1312 7.56760i 1.21617 0.457175i
\(275\) 12.1526 7.01629i 0.732827 0.423098i
\(276\) −7.88793 + 15.2385i −0.474798 + 0.917248i
\(277\) 2.77833 + 4.07507i 0.166934 + 0.244847i 0.900586 0.434679i \(-0.143138\pi\)
−0.733652 + 0.679526i \(0.762186\pi\)
\(278\) 5.17282 + 6.68204i 0.310245 + 0.400762i
\(279\) −0.524101 + 2.29624i −0.0313771 + 0.137472i
\(280\) 8.46076 2.78764i 0.505627 0.166594i
\(281\) −5.01512 21.9727i −0.299177 1.31078i −0.871356 0.490651i \(-0.836759\pi\)
0.572179 0.820128i \(-0.306098\pi\)
\(282\) −19.4317 + 23.6581i −1.15714 + 1.40882i
\(283\) −3.63787 + 11.7937i −0.216249 + 0.701062i 0.780834 + 0.624738i \(0.214794\pi\)
−0.997083 + 0.0763237i \(0.975682\pi\)
\(284\) 16.0019 7.14493i 0.949538 0.423974i
\(285\) 2.40284 + 7.78981i 0.142332 + 0.461428i
\(286\) 26.3261 + 2.35526i 1.55670 + 0.139270i
\(287\) −1.00246 + 6.13234i −0.0591736 + 0.361980i
\(288\) −1.00238 4.33845i −0.0590660 0.255646i
\(289\) −3.81777 + 9.72752i −0.224575 + 0.572207i
\(290\) 5.21628 + 5.78706i 0.306310 + 0.339828i
\(291\) 3.58109 + 23.7589i 0.209927 + 1.39277i
\(292\) −3.04740 2.99576i −0.178336 0.175314i
\(293\) 20.8504i 1.21810i −0.793134 0.609048i \(-0.791552\pi\)
0.793134 0.609048i \(-0.208448\pi\)
\(294\) −0.683660 19.2529i −0.0398718 1.12285i
\(295\) −11.9292 −0.694545
\(296\) 0.149374 + 4.73787i 0.00868221 + 0.275383i
\(297\) −16.6774 + 2.51372i −0.967723 + 0.145861i
\(298\) 19.5553 17.6265i 1.13281 1.02108i
\(299\) 19.5840 + 7.68615i 1.13257 + 0.444502i
\(300\) −8.18477 + 11.2906i −0.472548 + 0.651865i
\(301\) 1.31580 + 21.0724i 0.0758414 + 1.21459i
\(302\) −7.75613 0.693901i −0.446315 0.0399295i
\(303\) 26.5179 8.17970i 1.52342 0.469911i
\(304\) 12.5756 6.32308i 0.721262 0.362654i
\(305\) −4.26786 1.31646i −0.244377 0.0753802i
\(306\) −2.20158 1.80827i −0.125856 0.103372i
\(307\) 10.1933 2.32655i 0.581760 0.132783i 0.0784943 0.996915i \(-0.474989\pi\)
0.503266 + 0.864132i \(0.332132\pi\)
\(308\) 19.0271 8.21340i 1.08417 0.468002i
\(309\) 32.0555 + 7.31646i 1.82357 + 0.416219i
\(310\) 3.08358 + 3.98325i 0.175136 + 0.226233i
\(311\) −2.60019 + 1.77278i −0.147443 + 0.100525i −0.634795 0.772681i \(-0.718915\pi\)
0.487351 + 0.873206i \(0.337963\pi\)
\(312\) −24.8433 + 8.52935i −1.40648 + 0.482879i
\(313\) 3.28172 + 5.68411i 0.185494 + 0.321285i 0.943743 0.330680i \(-0.107278\pi\)
−0.758249 + 0.651965i \(0.773945\pi\)
\(314\) 3.30578 + 8.79399i 0.186556 + 0.496274i
\(315\) −1.52147 1.95733i −0.0857253 0.110283i
\(316\) −12.1598 22.5391i −0.684042 1.26793i
\(317\) 8.45911 12.4072i 0.475111 0.696859i −0.511622 0.859210i \(-0.670955\pi\)
0.986733 + 0.162351i \(0.0519077\pi\)
\(318\) −1.42576 + 0.0861810i −0.0799525 + 0.00483279i
\(319\) 13.2867 + 12.3282i 0.743911 + 0.690249i
\(320\) −8.53093 4.23264i −0.476894 0.236612i
\(321\) 16.2385 7.82005i 0.906345 0.436473i
\(322\) 16.3716 2.01949i 0.912352 0.112542i
\(323\) 3.90760 8.11422i 0.217425 0.451488i
\(324\) 18.0924 11.5850i 1.00513 0.643612i
\(325\) 14.8073 + 8.54897i 0.821359 + 0.474212i
\(326\) 11.6793 + 1.93309i 0.646855 + 0.107064i
\(327\) −11.9076 1.79478i −0.658490 0.0992515i
\(328\) 5.36786 3.91310i 0.296391 0.216065i
\(329\) 29.3199 + 2.56433i 1.61646 + 0.141376i
\(330\) 6.57519 11.0183i 0.361952 0.606539i
\(331\) −16.2772 + 1.21981i −0.894675 + 0.0670466i −0.514126 0.857714i \(-0.671884\pi\)
−0.380548 + 0.924761i \(0.624265\pi\)
\(332\) −11.5288 2.98380i −0.632727 0.163757i
\(333\) 1.22800 0.481954i 0.0672939 0.0264109i
\(334\) 7.89772 15.8121i 0.432144 0.865199i
\(335\) 8.21861 + 10.3058i 0.449031 + 0.563067i
\(336\) −13.9379 + 15.1623i −0.760374 + 0.827171i
\(337\) 19.2302 24.1139i 1.04753 1.31357i 0.0996244 0.995025i \(-0.468236\pi\)
0.947909 0.318540i \(-0.103193\pi\)
\(338\) 5.81614 + 12.5369i 0.316357 + 0.681917i
\(339\) −30.4623 2.28283i −1.65448 0.123986i
\(340\) −5.97713 + 1.18392i −0.324155 + 0.0642072i
\(341\) 7.97092 + 8.59061i 0.431650 + 0.465208i
\(342\) −2.83280 2.70555i −0.153181 0.146300i
\(343\) −14.9004 + 10.9989i −0.804548 + 0.593887i
\(344\) 14.8233 17.0214i 0.799217 0.917732i
\(345\) 7.48670 6.94665i 0.403071 0.373995i
\(346\) −4.88321 3.43355i −0.262523 0.184589i
\(347\) −15.1844 1.13791i −0.815140 0.0610863i −0.339367 0.940654i \(-0.610213\pi\)
−0.475773 + 0.879568i \(0.657832\pi\)
\(348\) −17.0517 5.80360i −0.914069 0.311105i
\(349\) −1.37333 1.09520i −0.0735128 0.0586245i 0.586044 0.810279i \(-0.300685\pi\)
−0.659557 + 0.751655i \(0.729256\pi\)
\(350\) 13.4013 + 0.360131i 0.716329 + 0.0192498i
\(351\) −12.8128 16.0667i −0.683896 0.857578i
\(352\) −20.6450 8.03922i −1.10038 0.428492i
\(353\) 7.74842 + 19.7427i 0.412407 + 1.05080i 0.974632 + 0.223812i \(0.0718501\pi\)
−0.562225 + 0.826984i \(0.690055\pi\)
\(354\) 24.0811 13.4438i 1.27989 0.714528i
\(355\) −10.4015 + 0.779485i −0.552054 + 0.0413707i
\(356\) −15.7355 + 4.36076i −0.833980 + 0.231120i
\(357\) −1.14812 + 13.1273i −0.0607650 + 0.694769i
\(358\) −25.5101 + 16.8586i −1.34825 + 0.891002i
\(359\) −9.54606 1.43884i −0.503822 0.0759389i −0.107786 0.994174i \(-0.534376\pi\)
−0.396036 + 0.918235i \(0.629614\pi\)
\(360\) −0.312225 + 2.63183i −0.0164557 + 0.138710i
\(361\) −3.30851 + 5.73050i −0.174132 + 0.301605i
\(362\) 0.516890 2.12298i 0.0271671 0.111581i
\(363\) 3.66366 7.60767i 0.192292 0.399299i
\(364\) 20.2586 + 15.0737i 1.06184 + 0.790078i
\(365\) 1.10358 + 2.29160i 0.0577639 + 0.119948i
\(366\) 10.0990 2.15222i 0.527882 0.112499i
\(367\) 27.9537 + 25.9373i 1.45917 + 1.35391i 0.795648 + 0.605759i \(0.207131\pi\)
0.663524 + 0.748155i \(0.269060\pi\)
\(368\) −13.9732 10.7578i −0.728402 0.560788i
\(369\) −1.52743 1.04139i −0.0795150 0.0542124i
\(370\) 0.870429 2.68377i 0.0452515 0.139522i
\(371\) 0.842721 + 1.08413i 0.0437519 + 0.0562854i
\(372\) −10.7137 4.56577i −0.555479 0.236724i
\(373\) 17.3776 10.0330i 0.899778 0.519487i 0.0226499 0.999743i \(-0.492790\pi\)
0.877128 + 0.480256i \(0.159456\pi\)
\(374\) −13.6046 + 3.98244i −0.703475 + 0.205927i
\(375\) 16.4283 11.2006i 0.848352 0.578397i
\(376\) −20.3829 23.9691i −1.05117 1.23611i
\(377\) −4.91427 + 21.5308i −0.253098 + 1.10889i
\(378\) −14.8355 6.28750i −0.763057 0.323394i
\(379\) −2.76704 + 0.631559i −0.142133 + 0.0324410i −0.292996 0.956114i \(-0.594652\pi\)
0.150862 + 0.988555i \(0.451795\pi\)
\(380\) −8.31694 + 1.00913i −0.426650 + 0.0517675i
\(381\) −9.24656 + 29.9766i −0.473716 + 1.53575i
\(382\) −7.30055 2.98751i −0.373529 0.152854i
\(383\) 23.1639 7.14512i 1.18362 0.365099i 0.360388 0.932802i \(-0.382644\pi\)
0.823233 + 0.567704i \(0.192168\pi\)
\(384\) 21.9911 1.06977i 1.12223 0.0545913i
\(385\) −12.3111 + 0.768728i −0.627431 + 0.0391780i
\(386\) 2.05725 + 15.1267i 0.104711 + 0.769928i
\(387\) −5.84726 2.29488i −0.297233 0.116655i
\(388\) −24.6830 0.712427i −1.25309 0.0361680i
\(389\) −1.15754 7.67977i −0.0586896 0.389380i −0.998820 0.0485650i \(-0.984535\pi\)
0.940130 0.340815i \(-0.110703\pi\)
\(390\) 15.6324 + 0.225552i 0.791576 + 0.0114213i
\(391\) −11.2831 −0.570613
\(392\) 19.5970 + 2.82083i 0.989799 + 0.142474i
\(393\) 18.4401 0.930180
\(394\) −2.99547 0.0432201i −0.150909 0.00217740i
\(395\) 2.27187 + 15.0729i 0.114310 + 0.758399i
\(396\) −0.177886 + 6.16311i −0.00893911 + 0.309708i
\(397\) 10.7303 + 4.21134i 0.538539 + 0.211361i 0.618992 0.785397i \(-0.287541\pi\)
−0.0804528 + 0.996758i \(0.525637\pi\)
\(398\) −2.41669 17.7696i −0.121138 0.890709i
\(399\) −2.92303 + 17.8810i −0.146335 + 0.895168i
\(400\) −9.92618 10.3378i −0.496309 0.516890i
\(401\) 31.4356 9.69660i 1.56982 0.484225i 0.616796 0.787123i \(-0.288430\pi\)
0.953023 + 0.302898i \(0.0979543\pi\)
\(402\) −28.2049 11.5419i −1.40673 0.575659i
\(403\) −4.20879 + 13.6446i −0.209655 + 0.679684i
\(404\) 3.43528 + 28.3124i 0.170912 + 1.40859i
\(405\) −12.4665 + 2.84540i −0.619467 + 0.141389i
\(406\) 4.65764 + 16.6778i 0.231155 + 0.827707i
\(407\) 1.46057 6.39918i 0.0723978 0.317196i
\(408\) 10.7316 9.12595i 0.531293 0.451802i
\(409\) −0.195955 + 0.133600i −0.00968934 + 0.00660608i −0.568155 0.822922i \(-0.692343\pi\)
0.558466 + 0.829528i \(0.311390\pi\)
\(410\) −3.79455 + 1.11077i −0.187399 + 0.0548570i
\(411\) 25.6297 14.7973i 1.26422 0.729897i
\(412\) −13.2477 + 31.0861i −0.652668 + 1.53150i
\(413\) −23.7428 11.8000i −1.16831 0.580639i
\(414\) −1.51406 + 4.66826i −0.0744121 + 0.229432i
\(415\) 5.85645 + 3.99286i 0.287482 + 0.196002i
\(416\) −4.09441 26.6825i −0.200745 1.30822i
\(417\) 8.52409 + 7.90920i 0.417427 + 0.387315i
\(418\) −19.0625 + 4.06248i −0.932379 + 0.198702i
\(419\) 7.22554 + 15.0040i 0.352991 + 0.732993i 0.999554 0.0298678i \(-0.00950862\pi\)
−0.646563 + 0.762860i \(0.723794\pi\)
\(420\) 10.8599 5.68566i 0.529911 0.277432i
\(421\) −13.5471 + 28.1308i −0.660244 + 1.37101i 0.254537 + 0.967063i \(0.418077\pi\)
−0.914782 + 0.403949i \(0.867637\pi\)
\(422\) 7.44249 30.5679i 0.362295 1.48802i
\(423\) −4.37815 + 7.58317i −0.212873 + 0.368707i
\(424\) 0.172937 1.45773i 0.00839855 0.0707936i
\(425\) −9.06746 1.36670i −0.439837 0.0662947i
\(426\) 20.1187 13.2956i 0.974754 0.644175i
\(427\) −7.19217 6.84179i −0.348053 0.331098i
\(428\) 4.94680 + 17.8502i 0.239113 + 0.862822i
\(429\) 36.2696 2.71803i 1.75111 0.131228i
\(430\) −11.7302 + 6.54865i −0.565682 + 0.315804i
\(431\) −6.08756 15.5108i −0.293227 0.747131i −0.999242 0.0389336i \(-0.987604\pi\)
0.706015 0.708197i \(-0.250491\pi\)
\(432\) 6.56624 + 15.9248i 0.315919 + 0.766182i
\(433\) −14.9458 18.7414i −0.718247 0.900653i 0.279990 0.960003i \(-0.409669\pi\)
−0.998237 + 0.0593496i \(0.981097\pi\)
\(434\) 2.19719 + 10.9781i 0.105468 + 0.526965i
\(435\) 8.38199 + 6.68441i 0.401886 + 0.320493i
\(436\) 3.98752 11.7159i 0.190968 0.561089i
\(437\) −15.4704 1.15935i −0.740051 0.0554591i
\(438\) −4.81031 3.38229i −0.229845 0.161612i
\(439\) −21.6430 + 20.0818i −1.03296 + 0.958450i −0.999160 0.0409786i \(-0.986952\pi\)
−0.0338033 + 0.999429i \(0.510762\pi\)
\(440\) 9.94440 + 8.66019i 0.474081 + 0.412859i
\(441\) −1.09208 5.40068i −0.0520040 0.257175i
\(442\) −12.4905 11.9294i −0.594113 0.567425i
\(443\) −25.4157 27.3916i −1.20754 1.30142i −0.941325 0.337502i \(-0.890418\pi\)
−0.266213 0.963914i \(-0.585772\pi\)
\(444\) 1.26740 + 6.39857i 0.0601482 + 0.303663i
\(445\) 9.69162 + 0.726287i 0.459427 + 0.0344293i
\(446\) −6.36691 13.7241i −0.301482 0.649854i
\(447\) 22.5876 28.3239i 1.06835 1.33967i
\(448\) −12.7924 16.8628i −0.604386 0.796692i
\(449\) −16.7446 20.9970i −0.790225 0.990911i −0.999914 0.0131425i \(-0.995817\pi\)
0.209689 0.977768i \(-0.432755\pi\)
\(450\) −1.78220 + 3.56815i −0.0840137 + 0.168204i
\(451\) −8.56234 + 3.36047i −0.403185 + 0.158238i
\(452\) 7.86606 30.3930i 0.369988 1.42957i
\(453\) −10.6856 + 0.800779i −0.502056 + 0.0376239i
\(454\) 9.01186 15.1016i 0.422948 0.708752i
\(455\) −8.31137 12.5224i −0.389643 0.587060i
\(456\) 15.6519 11.4100i 0.732966 0.534322i
\(457\) −17.9694 2.70845i −0.840572 0.126696i −0.285376 0.958416i \(-0.592119\pi\)
−0.555196 + 0.831720i \(0.687357\pi\)
\(458\) 36.8944 + 6.10655i 1.72396 + 0.285341i
\(459\) 9.54475 + 5.51066i 0.445511 + 0.257216i
\(460\) 5.66003 + 8.83931i 0.263900 + 0.412135i
\(461\) −9.06077 + 18.8149i −0.422002 + 0.876296i 0.576254 + 0.817270i \(0.304514\pi\)
−0.998256 + 0.0590259i \(0.981201\pi\)
\(462\) 23.9857 15.4260i 1.11591 0.717680i
\(463\) −18.7783 + 9.04316i −0.872703 + 0.420271i −0.815954 0.578117i \(-0.803788\pi\)
−0.0567488 + 0.998388i \(0.518073\pi\)
\(464\) 8.98048 16.1873i 0.416908 0.751478i
\(465\) 5.08132 + 4.71477i 0.235640 + 0.218642i
\(466\) 28.4041 1.71691i 1.31580 0.0795343i
\(467\) 14.6659 21.5109i 0.678657 0.995408i −0.320187 0.947354i \(-0.603746\pi\)
0.998845 0.0480533i \(-0.0153017\pi\)
\(468\) −6.61173 + 3.56701i −0.305627 + 0.164885i
\(469\) 6.16343 + 28.6414i 0.284601 + 1.32254i
\(470\) 6.58966 + 17.5297i 0.303959 + 0.808586i
\(471\) 6.46396 + 11.1959i 0.297844 + 0.515880i
\(472\) 9.20390 + 26.8081i 0.423644 + 1.23394i
\(473\) −25.8234 + 17.6061i −1.18736 + 0.809528i
\(474\) −21.5727 27.8668i −0.990869 1.27997i
\(475\) −12.2921 2.80558i −0.563998 0.128729i
\(476\) −13.0674 3.55601i −0.598945 0.162989i
\(477\) −0.398283 + 0.0909056i −0.0182361 + 0.00416228i
\(478\) −16.2519 13.3486i −0.743347 0.610550i
\(479\) 28.4803 + 8.78502i 1.30130 + 0.401398i 0.866521 0.499140i \(-0.166351\pi\)
0.434778 + 0.900538i \(0.356827\pi\)
\(480\) −12.5327 3.82931i −0.572036 0.174783i
\(481\) 7.64227 2.35733i 0.348458 0.107485i
\(482\) 35.7059 + 3.19443i 1.62636 + 0.145502i
\(483\) 21.7723 6.42039i 0.990673 0.292138i
\(484\) 7.02602 + 5.09328i 0.319364 + 0.231513i
\(485\) 13.6815 + 5.36961i 0.621246 + 0.243821i
\(486\) 8.38812 7.56079i 0.380493 0.342964i
\(487\) 36.1139 5.44329i 1.63648 0.246659i 0.734552 0.678553i \(-0.237392\pi\)
0.901925 + 0.431893i \(0.142154\pi\)
\(488\) 0.334406 + 10.6067i 0.0151378 + 0.480143i
\(489\) 16.2902 0.736667
\(490\) −10.4083 5.52632i −0.470197 0.249654i
\(491\) 7.21185i 0.325466i −0.986670 0.162733i \(-0.947969\pi\)
0.986670 0.162733i \(-0.0520309\pi\)
\(492\) 6.40813 6.51859i 0.288901 0.293881i
\(493\) −1.76530 11.7120i −0.0795050 0.527481i
\(494\) −15.9001 17.6400i −0.715380 0.793659i
\(495\) 1.34074 3.41614i 0.0602617 0.153544i
\(496\) 6.57230 10.0029i 0.295105 0.449142i
\(497\) −21.4733 8.73741i −0.963208 0.391927i
\(498\) −16.3220 1.46025i −0.731407 0.0654353i
\(499\) 3.38145 + 10.9624i 0.151375 + 0.490744i 0.999220 0.0394998i \(-0.0125764\pi\)
−0.847845 + 0.530244i \(0.822100\pi\)
\(500\) 8.33127 + 18.6588i 0.372586 + 0.834448i
\(501\) 7.16894 23.2411i 0.320285 1.03834i
\(502\) 20.9314 25.4840i 0.934213 1.13741i
\(503\) −4.66031 20.4182i −0.207793 0.910401i −0.966032 0.258424i \(-0.916797\pi\)
0.758239 0.651977i \(-0.226060\pi\)
\(504\) −3.22475 + 4.92932i −0.143642 + 0.219569i
\(505\) 3.77734 16.5496i 0.168089 0.736447i
\(506\) 14.9477 + 19.3088i 0.664505 + 0.858381i
\(507\) 10.7131 + 15.7132i 0.475784 + 0.697847i
\(508\) −28.6314 14.8206i −1.27031 0.657556i
\(509\) −9.79074 + 5.65269i −0.433967 + 0.250551i −0.701035 0.713127i \(-0.747278\pi\)
0.267068 + 0.963678i \(0.413945\pi\)
\(510\) −7.84852 + 2.95037i −0.347538 + 0.130644i
\(511\) −0.0703159 + 5.65263i −0.00311059 + 0.250058i
\(512\) −2.92987 + 22.4369i −0.129483 + 0.991582i
\(513\) 12.5207 + 8.53645i 0.552801 + 0.376893i
\(514\) −23.1092 + 1.39685i −1.01930 + 0.0616126i
\(515\) 13.6801 14.7436i 0.602816 0.649681i
\(516\) 16.2993 26.4391i 0.717539 1.16392i
\(517\) 18.9034 + 39.2532i 0.831369 + 1.72635i
\(518\) 4.38712 4.48053i 0.192759 0.196863i
\(519\) −7.40097 3.56412i −0.324867 0.156447i
\(520\) −3.07992 + 15.7694i −0.135064 + 0.691534i
\(521\) 0.619679 1.07332i 0.0271486 0.0470228i −0.852132 0.523327i \(-0.824691\pi\)
0.879281 + 0.476304i \(0.158024\pi\)
\(522\) −5.08256 0.841237i −0.222458 0.0368199i
\(523\) −2.80848 + 18.6331i −0.122806 + 0.814768i 0.839610 + 0.543190i \(0.182784\pi\)
−0.962416 + 0.271578i \(0.912455\pi\)
\(524\) −3.36402 + 18.6503i −0.146958 + 0.814741i
\(525\) 18.2745 2.52239i 0.797565 0.110086i
\(526\) −35.6371 21.2664i −1.55385 0.927261i
\(527\) −0.572284 7.63659i −0.0249291 0.332655i
\(528\) −29.8342 6.27506i −1.29836 0.273087i
\(529\) −1.30200 3.31744i −0.0566087 0.144237i
\(530\) −0.390414 + 0.781651i −0.0169585 + 0.0339527i
\(531\) 6.16713 4.91812i 0.267630 0.213428i
\(532\) −17.5515 6.21836i −0.760955 0.269600i
\(533\) −8.76237 6.98776i −0.379540 0.302673i
\(534\) −20.3826 + 9.45597i −0.882044 + 0.409200i
\(535\) 0.823892 10.9941i 0.0356200 0.475316i
\(536\) 16.8189 26.4208i 0.726465 1.14120i
\(537\) −30.8443 + 28.6194i −1.33103 + 1.23502i
\(538\) 9.13881 + 8.72829i 0.394002 + 0.376303i
\(539\) −25.2633 10.6477i −1.08817 0.458630i
\(540\) −0.470888 10.2418i −0.0202638 0.440736i
\(541\) 8.72411 + 9.40235i 0.375079 + 0.404239i 0.892176 0.451688i \(-0.149178\pi\)
−0.517097 + 0.855927i \(0.672987\pi\)
\(542\) 8.63038 12.2742i 0.370707 0.527221i
\(543\) 0.224692 2.99830i 0.00964245 0.128670i
\(544\) 7.27220 + 12.5187i 0.311793 + 0.536737i
\(545\) −4.59271 + 5.75908i −0.196730 + 0.246692i
\(546\) 30.8902 + 15.9120i 1.32198 + 0.680969i
\(547\) −11.3057 + 9.01597i −0.483395 + 0.385495i −0.834646 0.550786i \(-0.814328\pi\)
0.351251 + 0.936281i \(0.385756\pi\)
\(548\) 10.2903 + 28.6212i 0.439582 + 1.22264i
\(549\) 2.74913 1.07895i 0.117330 0.0460486i
\(550\) 9.67355 + 17.3277i 0.412481 + 0.738855i
\(551\) −1.21700 16.2398i −0.0518461 0.691838i
\(552\) −21.3873 11.4650i −0.910303 0.487981i
\(553\) −10.3879 + 32.2470i −0.441738 + 1.37128i
\(554\) −5.81910 + 3.84561i −0.247230 + 0.163384i
\(555\) 0.578647 3.83907i 0.0245622 0.162960i
\(556\) −9.55439 + 7.17838i −0.405196 + 0.304431i
\(557\) −8.60876 4.97027i −0.364765 0.210597i 0.306404 0.951902i \(-0.400874\pi\)
−0.671169 + 0.741304i \(0.734208\pi\)
\(558\) −3.23634 0.787963i −0.137005 0.0333571i
\(559\) −34.3102 16.5229i −1.45117 0.698846i
\(560\) 3.76929 + 12.0210i 0.159282 + 0.507978i
\(561\) −17.5747 + 8.46353i −0.742005 + 0.357331i
\(562\) 31.1731 6.64340i 1.31496 0.280235i
\(563\) −8.01839 + 8.64177i −0.337935 + 0.364207i −0.879040 0.476748i \(-0.841816\pi\)
0.541105 + 0.840955i \(0.318006\pi\)
\(564\) −33.0577 27.9603i −1.39198 1.17734i
\(565\) −10.5262 + 15.4391i −0.442841 + 0.649529i
\(566\) −16.6028 5.38482i −0.697869 0.226341i
\(567\) −27.6269 6.66825i −1.16022 0.280040i
\(568\) 9.77692 + 22.7735i 0.410231 + 0.955556i
\(569\) 12.4182 + 21.5089i 0.520597 + 0.901701i 0.999713 + 0.0239491i \(0.00762398\pi\)
−0.479116 + 0.877752i \(0.659043\pi\)
\(570\) −11.0643 + 3.23884i −0.463434 + 0.135660i
\(571\) −24.4496 35.8609i −1.02318 1.50073i −0.857454 0.514561i \(-0.827955\pi\)
−0.165728 0.986172i \(-0.552997\pi\)
\(572\) −3.86763 + 37.1788i −0.161714 + 1.55452i
\(573\) −10.5825 2.41539i −0.442092 0.100905i
\(574\) −8.65108 1.54267i −0.361089 0.0643897i
\(575\) 3.51492 + 15.3999i 0.146582 + 0.642220i
\(576\) 6.15531 1.32892i 0.256471 0.0553716i
\(577\) −40.1603 12.3878i −1.67189 0.515711i −0.693149 0.720795i \(-0.743777\pi\)
−0.978744 + 0.205084i \(0.934253\pi\)
\(578\) −13.6775 5.59705i −0.568908 0.232807i
\(579\) 6.19193 + 20.0737i 0.257328 + 0.834236i
\(580\) −8.28972 + 7.25809i −0.344212 + 0.301376i
\(581\) 7.70655 + 13.7401i 0.319722 + 0.570033i
\(582\) −33.6698 + 4.57914i −1.39566 + 0.189812i
\(583\) −0.742614 + 1.89215i −0.0307559 + 0.0783649i
\(584\) 4.29838 4.24811i 0.177868 0.175788i
\(585\) 4.42155 0.666441i 0.182808 0.0275539i
\(586\) 29.4839 + 0.425409i 1.21797 + 0.0175735i
\(587\) 20.5741i 0.849186i −0.905384 0.424593i \(-0.860417\pi\)
0.905384 0.424593i \(-0.139583\pi\)
\(588\) 27.2388 0.573927i 1.12331 0.0236683i
\(589\) 10.5294i 0.433857i
\(590\) 0.243390 16.8687i 0.0100202 0.694473i
\(591\) −4.07636 + 0.614412i −0.167679 + 0.0252735i
\(592\) −6.70271 + 0.114559i −0.275480 + 0.00470835i
\(593\) −4.78755 + 12.1985i −0.196601 + 0.500931i −0.994845 0.101402i \(-0.967667\pi\)
0.798245 + 0.602334i \(0.205762\pi\)
\(594\) −3.21430 23.6343i −0.131884 0.969727i
\(595\) 6.60300 + 4.62319i 0.270696 + 0.189532i
\(596\) 24.5261 + 28.0121i 1.00463 + 1.14742i
\(597\) −7.27377 23.5810i −0.297695 0.965105i
\(598\) −11.2683 + 27.5362i −0.460795 + 1.12604i
\(599\) −24.7697 7.64044i −1.01206 0.312180i −0.255998 0.966677i \(-0.582404\pi\)
−0.756065 + 0.654497i \(0.772880\pi\)
\(600\) −15.7987 11.8042i −0.644980 0.481903i
\(601\) −4.03976 17.6993i −0.164785 0.721971i −0.988027 0.154281i \(-0.950694\pi\)
0.823242 0.567691i \(-0.192163\pi\)
\(602\) −29.8246 + 1.43069i −1.21556 + 0.0583106i
\(603\) −8.49768 1.93954i −0.346052 0.0789841i
\(604\) 1.13947 10.9535i 0.0463644 0.445693i
\(605\) −2.90962 4.26762i −0.118293 0.173504i
\(606\) 11.0256 + 37.6650i 0.447884 + 1.53004i
\(607\) 7.64552 + 13.2424i 0.310322 + 0.537494i 0.978432 0.206569i \(-0.0662298\pi\)
−0.668110 + 0.744063i \(0.732896\pi\)
\(608\) 8.68468 + 17.9118i 0.352210 + 0.726419i
\(609\) 10.0708 + 21.5953i 0.408088 + 0.875084i
\(610\) 1.94864 6.00817i 0.0788980 0.243264i
\(611\) −29.9039 + 43.8609i −1.20978 + 1.77442i
\(612\) 2.60194 3.07629i 0.105177 0.124351i
\(613\) −4.18470 + 4.51003i −0.169018 + 0.182158i −0.811881 0.583823i \(-0.801556\pi\)
0.642863 + 0.765982i \(0.277747\pi\)
\(614\) 3.08192 + 14.4614i 0.124376 + 0.583615i
\(615\) −4.90189 + 2.36063i −0.197663 + 0.0951897i
\(616\) 11.2261 + 27.0732i 0.452312 + 1.09081i
\(617\) 15.9282 + 7.67060i 0.641244 + 0.308807i 0.726103 0.687586i \(-0.241330\pi\)
−0.0848590 + 0.996393i \(0.527044\pi\)
\(618\) −11.0000 + 45.1794i −0.442484 + 1.81738i
\(619\) 27.4551 + 15.8512i 1.10351 + 0.637113i 0.937141 0.348950i \(-0.113462\pi\)
0.166371 + 0.986063i \(0.446795\pi\)
\(620\) −5.69549 + 4.27912i −0.228736 + 0.171854i
\(621\) 2.82960 18.7731i 0.113548 0.753341i
\(622\) −2.45378 3.71302i −0.0983876 0.148878i
\(623\) 18.5709 + 11.0322i 0.744029 + 0.441995i
\(624\) −11.5542 35.3041i −0.462538 1.41330i
\(625\) 0.429857 + 5.73605i 0.0171943 + 0.229442i
\(626\) −8.10467 + 4.52460i −0.323928 + 0.180839i
\(627\) −24.9665 + 9.79862i −0.997065 + 0.391319i
\(628\) −12.5027 + 4.49517i −0.498913 + 0.179377i
\(629\) −3.35345 + 2.67429i −0.133711 + 0.106631i
\(630\) 2.79883 2.11153i 0.111508 0.0841253i
\(631\) −18.3421 + 23.0003i −0.730189 + 0.915628i −0.998866 0.0476022i \(-0.984842\pi\)
0.268677 + 0.963230i \(0.413413\pi\)
\(632\) 32.1199 16.7349i 1.27766 0.665679i
\(633\) 3.23525 43.1714i 0.128590 1.71591i
\(634\) 17.3721 + 12.2149i 0.689932 + 0.485115i
\(635\) 13.0520 + 14.0667i 0.517952 + 0.558220i
\(636\) −0.0927761 2.01787i −0.00367881 0.0800139i
\(637\) −4.15546 33.1449i −0.164645 1.31325i
\(638\) −17.7040 + 18.5367i −0.700909 + 0.733875i
\(639\) 5.05598 4.69126i 0.200011 0.185583i
\(640\) 6.15928 11.9769i 0.243467 0.473430i
\(641\) −1.91825 + 25.5972i −0.0757662 + 1.01103i 0.821692 + 0.569931i \(0.193030\pi\)
−0.897459 + 0.441099i \(0.854589\pi\)
\(642\) 10.7268 + 23.1219i 0.423351 + 0.912548i
\(643\) −33.2819 26.5415i −1.31251 1.04669i −0.995148 0.0983889i \(-0.968631\pi\)
−0.317363 0.948304i \(-0.602797\pi\)
\(644\) 2.52166 + 23.1917i 0.0993674 + 0.913881i
\(645\) −14.4535 + 11.5263i −0.569105 + 0.453846i
\(646\) 11.3943 + 5.69117i 0.448304 + 0.223916i
\(647\) −3.61345 9.20692i −0.142059 0.361961i 0.842081 0.539350i \(-0.181330\pi\)
−0.984141 + 0.177389i \(0.943235\pi\)
\(648\) 16.0128 + 25.8202i 0.629044 + 1.01431i
\(649\) −2.93299 39.1380i −0.115130 1.53630i
\(650\) −12.3909 + 20.7640i −0.486012 + 0.814432i
\(651\) 5.44970 + 14.4101i 0.213591 + 0.564778i
\(652\) −2.97180 + 16.4758i −0.116385 + 0.645243i
\(653\) 1.71934 11.4071i 0.0672831 0.446394i −0.929670 0.368393i \(-0.879908\pi\)
0.996953 0.0780011i \(-0.0248538\pi\)
\(654\) 2.78088 16.8015i 0.108741 0.656990i
\(655\) 5.63991 9.76861i 0.220369 0.381691i
\(656\) 5.42386 + 7.67035i 0.211766 + 0.299477i
\(657\) −1.51530 0.729729i −0.0591174 0.0284694i
\(658\) −4.22435 + 41.4079i −0.164682 + 1.61425i
\(659\) −11.7610 24.4219i −0.458142 0.951342i −0.994239 0.107185i \(-0.965816\pi\)
0.536097 0.844156i \(-0.319898\pi\)
\(660\) 15.4465 + 9.52256i 0.601254 + 0.370665i
\(661\) 11.0680 11.9284i 0.430493 0.463962i −0.480131 0.877197i \(-0.659411\pi\)
0.910624 + 0.413235i \(0.135601\pi\)
\(662\) −1.39279 23.0419i −0.0541321 0.895549i
\(663\) −19.6377 13.3888i −0.762665 0.519976i
\(664\) 4.45451 16.2417i 0.172868 0.630299i
\(665\) 8.57839 + 7.01736i 0.332656 + 0.272122i
\(666\) 0.656460 + 1.74630i 0.0254373 + 0.0676679i
\(667\) −17.6693 + 10.2014i −0.684159 + 0.394999i
\(668\) 22.1982 + 11.4905i 0.858875 + 0.444581i
\(669\) −11.7276 17.2012i −0.453413 0.665035i
\(670\) −14.7408 + 11.4114i −0.569486 + 0.440861i
\(671\) 3.26979 14.3259i 0.126229 0.553045i
\(672\) −21.1561 20.0185i −0.816115 0.772228i
\(673\) −5.01767 21.9839i −0.193417 0.847415i −0.974750 0.223300i \(-0.928317\pi\)
0.781333 0.624115i \(-0.214540\pi\)
\(674\) 33.7062 + 27.6847i 1.29832 + 1.06638i
\(675\) 4.54789 14.7439i 0.175048 0.567493i
\(676\) −17.8467 + 7.96863i −0.686410 + 0.306486i
\(677\) −2.79167 9.05038i −0.107293 0.347834i 0.885966 0.463749i \(-0.153496\pi\)
−0.993259 + 0.115915i \(0.963020\pi\)
\(678\) 3.84959 43.0291i 0.147843 1.65252i
\(679\) 21.9191 + 24.2205i 0.841177 + 0.929498i
\(680\) −1.55219 8.47621i −0.0595239 0.325048i
\(681\) 8.84115 22.5269i 0.338794 0.863232i
\(682\) −12.3103 + 11.0961i −0.471387 + 0.424893i
\(683\) 4.09222 + 27.1501i 0.156584 + 1.03887i 0.919704 + 0.392613i \(0.128429\pi\)
−0.763119 + 0.646257i \(0.776333\pi\)
\(684\) 3.88363 3.95057i 0.148494 0.151054i
\(685\) 18.1030i 0.691681i
\(686\) −15.2492 21.2946i −0.582218 0.813033i
\(687\) 51.4601 1.96332
\(688\) 23.7670 + 21.3084i 0.906107 + 0.812374i
\(689\) −2.44903 + 0.369132i −0.0933005 + 0.0140628i
\(690\) 9.67027 + 10.7284i 0.368141 + 0.408424i
\(691\) 33.1855 + 13.0244i 1.26244 + 0.495470i 0.899735 0.436436i \(-0.143759\pi\)
0.362701 + 0.931906i \(0.381855\pi\)
\(692\) 4.95490 6.83512i 0.188357 0.259832i
\(693\) 6.04763 5.47298i 0.229730 0.207901i
\(694\) 1.91889 21.4485i 0.0728400 0.814174i
\(695\) 6.79698 2.09659i 0.257824 0.0795282i
\(696\) 8.55458 23.9939i 0.324260 0.909485i
\(697\) 5.74370 + 1.77170i 0.217558 + 0.0671078i
\(698\) 1.57670 1.91964i 0.0596790 0.0726594i
\(699\) 38.1757 8.71335i 1.44394 0.329569i
\(700\) −0.782673 + 18.9430i −0.0295823 + 0.715977i
\(701\) −13.6543 3.11651i −0.515717 0.117709i −0.0432620 0.999064i \(-0.513775\pi\)
−0.472455 + 0.881355i \(0.656632\pi\)
\(702\) 22.9808 17.7903i 0.867356 0.671452i
\(703\) −4.87273 + 3.32217i −0.183778 + 0.125298i
\(704\) 11.7892 29.0294i 0.444322 1.09409i
\(705\) 12.8851 + 22.3176i 0.485281 + 0.840531i
\(706\) −28.0755 + 10.5540i −1.05664 + 0.397204i
\(707\) 23.8884 29.2024i 0.898416 1.09827i
\(708\) 18.5191 + 34.3265i 0.695989 + 1.29007i
\(709\) −7.35062 + 10.7814i −0.276058 + 0.404903i −0.939081 0.343696i \(-0.888321\pi\)
0.663023 + 0.748599i \(0.269273\pi\)
\(710\) −0.890022 14.7243i −0.0334019 0.552594i
\(711\) −7.38869 6.85571i −0.277098 0.257109i
\(712\) −5.84535 22.3400i −0.219064 0.837227i
\(713\) −11.8852 + 5.72361i −0.445104 + 0.214351i
\(714\) −18.5394 1.89135i −0.693820 0.0707821i
\(715\) 9.65318 20.0450i 0.361009 0.749642i
\(716\) −23.3186 36.4169i −0.871458 1.36096i
\(717\) −25.0631 14.4702i −0.935999 0.540399i
\(718\) 2.22938 13.4694i 0.0831996 0.502674i
\(719\) −4.92536 0.742378i −0.183685 0.0276860i 0.0565556 0.998399i \(-0.481988\pi\)
−0.240240 + 0.970713i \(0.577226\pi\)
\(720\) −3.71521 0.495204i −0.138458 0.0184552i
\(721\) 41.8115 15.8125i 1.55714 0.588888i
\(722\) −8.03581 4.79537i −0.299062 0.178465i
\(723\) 49.1922 3.68645i 1.82948 0.137100i
\(724\) 2.99149 + 0.774231i 0.111178 + 0.0287741i
\(725\) −15.4353 + 6.05789i −0.573251 + 0.224984i
\(726\) 10.6830 + 5.33588i 0.396483 + 0.198033i
\(727\) −2.00713 2.51686i −0.0744402 0.0933451i 0.743217 0.669050i \(-0.233299\pi\)
−0.817657 + 0.575705i \(0.804728\pi\)
\(728\) −21.7286 + 28.3395i −0.805315 + 1.05033i
\(729\) −10.4035 + 13.0455i −0.385314 + 0.483168i
\(730\) −3.26300 + 1.51378i −0.120769 + 0.0560274i
\(731\) 20.3666 + 1.52626i 0.753284 + 0.0564508i
\(732\) 2.83734 + 14.3245i 0.104871 + 0.529450i
\(733\) −18.9353 20.4073i −0.699390 0.753763i 0.279054 0.960275i \(-0.409979\pi\)
−0.978444 + 0.206513i \(0.933789\pi\)
\(734\) −37.2473 + 38.9992i −1.37482 + 1.43949i
\(735\) −15.3720 5.16378i −0.567006 0.190469i
\(736\) 15.4973 19.5395i 0.571238 0.720235i
\(737\) −31.7912 + 29.4980i −1.17105 + 1.08657i
\(738\) 1.50375 2.13864i 0.0553539 0.0787246i
\(739\) 16.5059 + 1.23695i 0.607180 + 0.0455019i 0.374773 0.927117i \(-0.377721\pi\)
0.232407 + 0.972619i \(0.425340\pi\)
\(740\) 3.77727 + 1.28560i 0.138855 + 0.0472596i
\(741\) −25.5497 20.3752i −0.938593 0.748503i
\(742\) −1.55023 + 1.16954i −0.0569107 + 0.0429353i
\(743\) 15.6751 + 19.6560i 0.575064 + 0.721107i 0.981262 0.192678i \(-0.0617173\pi\)
−0.406198 + 0.913785i \(0.633146\pi\)
\(744\) 6.67488 15.0567i 0.244713 0.552006i
\(745\) −8.09612 20.6286i −0.296619 0.755773i
\(746\) 13.8327 + 24.7778i 0.506452 + 0.907179i
\(747\) −4.67381 + 0.350254i −0.171006 + 0.0128151i
\(748\) −5.35386 19.3190i −0.195756 0.706373i
\(749\) 12.5148 21.0667i 0.457281 0.769760i
\(750\) 15.5032 + 23.4592i 0.566097 + 0.856608i
\(751\) −2.16209 0.325883i −0.0788958 0.0118916i 0.109476 0.993989i \(-0.465083\pi\)
−0.188372 + 0.982098i \(0.560321\pi\)
\(752\) 34.3097 28.3337i 1.25115 1.03322i
\(753\) 22.6901 39.3004i 0.826874 1.43219i
\(754\) −30.3458 7.38840i −1.10513 0.269070i
\(755\) −2.84400 + 5.90562i −0.103504 + 0.214928i
\(756\) 9.19362 20.8501i 0.334369 0.758312i
\(757\) 12.5969 + 26.1578i 0.457843 + 0.950721i 0.994282 + 0.106782i \(0.0340548\pi\)
−0.536439 + 0.843939i \(0.680231\pi\)
\(758\) −0.836611 3.92566i −0.0303871 0.142587i
\(759\) 24.6317 + 22.8549i 0.894074 + 0.829579i
\(760\) −1.25729 11.7813i −0.0456069 0.427352i
\(761\) 14.2774 + 9.73415i 0.517555 + 0.352863i 0.793755 0.608237i \(-0.208123\pi\)
−0.276201 + 0.961100i \(0.589075\pi\)
\(762\) −42.2003 13.6869i −1.52875 0.495823i
\(763\) −14.8376 + 6.91940i −0.537158 + 0.250499i
\(764\) 4.37349 10.2625i 0.158227 0.371285i
\(765\) −2.07684 + 1.19906i −0.0750882 + 0.0433522i
\(766\) 9.63107 + 32.9011i 0.347985 + 1.18877i
\(767\) 39.5118 26.9387i 1.42669 0.972700i
\(768\) 1.06404 + 31.1187i 0.0383952 + 1.12290i
\(769\) −5.33196 + 23.3608i −0.192275 + 0.842413i 0.783106 + 0.621888i \(0.213634\pi\)
−0.975381 + 0.220525i \(0.929223\pi\)
\(770\) −0.835851 17.4244i −0.0301220 0.627931i
\(771\) −31.0592 + 7.08906i −1.11857 + 0.255306i
\(772\) −21.4321 + 2.60046i −0.771359 + 0.0935927i