Properties

Label 230.2.l.a.97.10
Level $230$
Weight $2$
Character 230.97
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 97.10
Character \(\chi\) \(=\) 230.97
Dual form 230.2.l.a.83.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.479249 + 0.877679i) q^{2} +(0.125102 + 1.74915i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(-0.402612 + 2.19952i) q^{5} +(-1.47524 + 0.948077i) q^{6} +(0.229932 + 0.0857603i) q^{7} +(-0.997452 - 0.0713392i) q^{8} +(-0.0744076 + 0.0106982i) q^{9} +O(q^{10})\) \(q+(0.479249 + 0.877679i) q^{2} +(0.125102 + 1.74915i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(-0.402612 + 2.19952i) q^{5} +(-1.47524 + 0.948077i) q^{6} +(0.229932 + 0.0857603i) q^{7} +(-0.997452 - 0.0713392i) q^{8} +(-0.0744076 + 0.0106982i) q^{9} +(-2.12343 + 0.700755i) q^{10} +(-1.48670 - 5.06323i) q^{11} +(-1.53911 - 0.840419i) q^{12} +(-0.499267 - 1.33859i) q^{13} +(0.0349248 + 0.242907i) q^{14} +(-3.89766 - 0.429065i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(-1.44043 + 6.62156i) q^{17} +(-0.0450493 - 0.0601789i) q^{18} +(6.43603 + 4.13618i) q^{19} +(-1.63269 - 1.52785i) q^{20} +(-0.121243 + 0.412915i) q^{21} +(3.73139 - 3.73139i) q^{22} +(4.20496 - 2.30615i) q^{23} -1.75362i q^{24} +(-4.67581 - 1.77111i) q^{25} +(0.935576 - 1.07971i) q^{26} +(1.09025 + 5.01181i) q^{27} +(-0.196457 + 0.147066i) q^{28} +(-3.62675 - 5.64333i) q^{29} +(-1.49137 - 3.62652i) q^{30} +(2.28609 + 2.63829i) q^{31} +(0.599278 - 0.800541i) q^{32} +(8.67035 - 3.23387i) q^{33} +(-6.50193 + 1.90914i) q^{34} +(-0.281205 + 0.471213i) q^{35} +(0.0312279 - 0.0683795i) q^{36} +(1.69213 + 1.26671i) q^{37} +(-0.545782 + 7.63103i) q^{38} +(2.27893 - 1.04075i) q^{39} +(0.558499 - 2.16520i) q^{40} +(0.230258 - 1.60148i) q^{41} +(-0.420512 + 0.0914767i) q^{42} +(9.13432 - 0.653300i) q^{43} +(5.06323 + 1.48670i) q^{44} +(0.00642648 - 0.167968i) q^{45} +(4.03928 + 2.58538i) q^{46} +(-1.51924 - 1.51924i) q^{47} +(1.53911 - 0.840419i) q^{48} +(-5.24473 - 4.54459i) q^{49} +(-0.686409 - 4.95266i) q^{50} +(-11.7623 - 1.69116i) q^{51} +(1.39601 + 0.303684i) q^{52} +(-0.284488 + 0.762743i) q^{53} +(-3.87626 + 3.35880i) q^{54} +(11.7352 - 1.23151i) q^{55} +(-0.223228 - 0.101945i) q^{56} +(-6.42965 + 11.7750i) q^{57} +(3.21492 - 5.88768i) q^{58} +(-3.27847 - 1.49723i) q^{59} +(2.46819 - 3.04695i) q^{60} +(6.49842 - 5.63091i) q^{61} +(-1.21996 + 3.27085i) q^{62} +(-0.0180262 - 0.00392136i) q^{63} +(0.989821 + 0.142315i) q^{64} +(3.14526 - 0.559218i) q^{65} +(6.99356 + 6.05995i) q^{66} +(10.0211 - 5.47194i) q^{67} +(-4.79165 - 4.79165i) q^{68} +(4.55985 + 7.06659i) q^{69} +(-0.548341 - 0.0209796i) q^{70} +(-4.61233 - 1.35430i) q^{71} +(0.0749812 - 0.00536276i) q^{72} +(-9.02273 + 1.96278i) q^{73} +(-0.300815 + 2.09222i) q^{74} +(2.51299 - 8.40025i) q^{75} +(-6.95916 + 3.17814i) q^{76} +(0.0923841 - 1.29170i) q^{77} +(2.00562 + 1.50139i) q^{78} +(-1.23720 + 2.70910i) q^{79} +(2.16801 - 0.547486i) q^{80} +(-8.84640 + 2.59754i) q^{81} +(1.51594 - 0.565415i) q^{82} +(7.53733 - 10.0687i) q^{83} +(-0.281817 - 0.325234i) q^{84} +(-13.9843 - 5.83418i) q^{85} +(4.95100 + 7.70391i) q^{86} +(9.41732 - 7.04972i) q^{87} +(1.12170 + 5.15639i) q^{88} +(-7.51830 + 8.67658i) q^{89} +(0.150502 - 0.0748583i) q^{90} -0.350601i q^{91} +(-0.333310 + 4.78423i) q^{92} +(-4.32877 + 4.32877i) q^{93} +(0.605311 - 2.06150i) q^{94} +(-11.6889 + 12.4909i) q^{95} +(1.47524 + 0.948077i) q^{96} +(-0.636606 - 0.850406i) q^{97} +(1.47516 - 6.78118i) q^{98} +(0.164789 + 0.360837i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.479249 + 0.877679i 0.338880 + 0.620613i
\(3\) 0.125102 + 1.74915i 0.0722274 + 1.00987i 0.896317 + 0.443413i \(0.146232\pi\)
−0.824090 + 0.566459i \(0.808313\pi\)
\(4\) −0.540641 + 0.841254i −0.270320 + 0.420627i
\(5\) −0.402612 + 2.19952i −0.180054 + 0.983657i
\(6\) −1.47524 + 0.948077i −0.602263 + 0.387051i
\(7\) 0.229932 + 0.0857603i 0.0869062 + 0.0324143i 0.392541 0.919734i \(-0.371596\pi\)
−0.305635 + 0.952149i \(0.598869\pi\)
\(8\) −0.997452 0.0713392i −0.352653 0.0252222i
\(9\) −0.0744076 + 0.0106982i −0.0248025 + 0.00356607i
\(10\) −2.12343 + 0.700755i −0.671487 + 0.221598i
\(11\) −1.48670 5.06323i −0.448256 1.52662i −0.805492 0.592606i \(-0.798099\pi\)
0.357236 0.934014i \(-0.383719\pi\)
\(12\) −1.53911 0.840419i −0.444304 0.242608i
\(13\) −0.499267 1.33859i −0.138472 0.371257i 0.849141 0.528166i \(-0.177120\pi\)
−0.987613 + 0.156909i \(0.949847\pi\)
\(14\) 0.0349248 + 0.242907i 0.00933404 + 0.0649197i
\(15\) −3.89766 0.429065i −1.00637 0.110784i
\(16\) −0.415415 0.909632i −0.103854 0.227408i
\(17\) −1.44043 + 6.62156i −0.349356 + 1.60596i 0.382131 + 0.924108i \(0.375190\pi\)
−0.731487 + 0.681855i \(0.761173\pi\)
\(18\) −0.0450493 0.0601789i −0.0106182 0.0141843i
\(19\) 6.43603 + 4.13618i 1.47653 + 0.948906i 0.997468 + 0.0711228i \(0.0226582\pi\)
0.479059 + 0.877783i \(0.340978\pi\)
\(20\) −1.63269 1.52785i −0.365080 0.341638i
\(21\) −0.121243 + 0.412915i −0.0264573 + 0.0901053i
\(22\) 3.73139 3.73139i 0.795535 0.795535i
\(23\) 4.20496 2.30615i 0.876794 0.480866i
\(24\) 1.75362i 0.357956i
\(25\) −4.67581 1.77111i −0.935161 0.354222i
\(26\) 0.935576 1.07971i 0.183482 0.211749i
\(27\) 1.09025 + 5.01181i 0.209819 + 0.964524i
\(28\) −0.196457 + 0.147066i −0.0371269 + 0.0277928i
\(29\) −3.62675 5.64333i −0.673471 1.04794i −0.994886 0.101002i \(-0.967795\pi\)
0.321416 0.946938i \(-0.395841\pi\)
\(30\) −1.49137 3.62652i −0.272285 0.662110i
\(31\) 2.28609 + 2.63829i 0.410594 + 0.473850i 0.922949 0.384923i \(-0.125772\pi\)
−0.512355 + 0.858774i \(0.671227\pi\)
\(32\) 0.599278 0.800541i 0.105938 0.141517i
\(33\) 8.67035 3.23387i 1.50931 0.562945i
\(34\) −6.50193 + 1.90914i −1.11507 + 0.327414i
\(35\) −0.281205 + 0.471213i −0.0475324 + 0.0796496i
\(36\) 0.0312279 0.0683795i 0.00520465 0.0113966i
\(37\) 1.69213 + 1.26671i 0.278184 + 0.208246i 0.729255 0.684242i \(-0.239867\pi\)
−0.451071 + 0.892488i \(0.648958\pi\)
\(38\) −0.545782 + 7.63103i −0.0885375 + 1.23792i
\(39\) 2.27893 1.04075i 0.364920 0.166654i
\(40\) 0.558499 2.16520i 0.0883064 0.342348i
\(41\) 0.230258 1.60148i 0.0359602 0.250109i −0.963910 0.266229i \(-0.914222\pi\)
0.999870 + 0.0161200i \(0.00513137\pi\)
\(42\) −0.420512 + 0.0914767i −0.0648864 + 0.0141152i
\(43\) 9.13432 0.653300i 1.39297 0.0996272i 0.645418 0.763830i \(-0.276683\pi\)
0.747553 + 0.664202i \(0.231229\pi\)
\(44\) 5.06323 + 1.48670i 0.763310 + 0.224128i
\(45\) 0.00642648 0.167968i 0.000958004 0.0250393i
\(46\) 4.03928 + 2.58538i 0.595560 + 0.381193i
\(47\) −1.51924 1.51924i −0.221604 0.221604i 0.587570 0.809174i \(-0.300085\pi\)
−0.809174 + 0.587570i \(0.800085\pi\)
\(48\) 1.53911 0.840419i 0.222152 0.121304i
\(49\) −5.24473 4.54459i −0.749248 0.649227i
\(50\) −0.686409 4.95266i −0.0970729 0.700412i
\(51\) −11.7623 1.69116i −1.64705 0.236810i
\(52\) 1.39601 + 0.303684i 0.193592 + 0.0421134i
\(53\) −0.284488 + 0.762743i −0.0390775 + 0.104771i −0.955023 0.296532i \(-0.904170\pi\)
0.915945 + 0.401303i \(0.131443\pi\)
\(54\) −3.87626 + 3.35880i −0.527492 + 0.457075i
\(55\) 11.7352 1.23151i 1.58238 0.166057i
\(56\) −0.223228 0.101945i −0.0298301 0.0136230i
\(57\) −6.42965 + 11.7750i −0.851627 + 1.55964i
\(58\) 3.21492 5.88768i 0.422139 0.773091i
\(59\) −3.27847 1.49723i −0.426820 0.194922i 0.190410 0.981705i \(-0.439018\pi\)
−0.617231 + 0.786782i \(0.711745\pi\)
\(60\) 2.46819 3.04695i 0.318642 0.393360i
\(61\) 6.49842 5.63091i 0.832038 0.720965i −0.130694 0.991423i \(-0.541721\pi\)
0.962732 + 0.270458i \(0.0871751\pi\)
\(62\) −1.21996 + 3.27085i −0.154936 + 0.415398i
\(63\) −0.0180262 0.00392136i −0.00227109 0.000494044i
\(64\) 0.989821 + 0.142315i 0.123728 + 0.0177894i
\(65\) 3.14526 0.559218i 0.390122 0.0693624i
\(66\) 6.99356 + 6.05995i 0.860847 + 0.745929i
\(67\) 10.0211 5.47194i 1.22427 0.668504i 0.268690 0.963227i \(-0.413409\pi\)
0.955583 + 0.294723i \(0.0952274\pi\)
\(68\) −4.79165 4.79165i −0.581073 0.581073i
\(69\) 4.55985 + 7.06659i 0.548942 + 0.850718i
\(70\) −0.548341 0.0209796i −0.0655393 0.00250754i
\(71\) −4.61233 1.35430i −0.547383 0.160726i −0.00366366 0.999993i \(-0.501166\pi\)
−0.543719 + 0.839267i \(0.682984\pi\)
\(72\) 0.0749812 0.00536276i 0.00883662 0.000632008i
\(73\) −9.02273 + 1.96278i −1.05603 + 0.229726i −0.706875 0.707339i \(-0.749896\pi\)
−0.349157 + 0.937064i \(0.613532\pi\)
\(74\) −0.300815 + 2.09222i −0.0349691 + 0.243215i
\(75\) 2.51299 8.40025i 0.290175 0.969977i
\(76\) −6.95916 + 3.17814i −0.798270 + 0.364558i
\(77\) 0.0923841 1.29170i 0.0105281 0.147203i
\(78\) 2.00562 + 1.50139i 0.227092 + 0.169999i
\(79\) −1.23720 + 2.70910i −0.139196 + 0.304798i −0.966373 0.257145i \(-0.917218\pi\)
0.827177 + 0.561942i \(0.189946\pi\)
\(80\) 2.16801 0.547486i 0.242391 0.0612108i
\(81\) −8.84640 + 2.59754i −0.982933 + 0.288615i
\(82\) 1.51594 0.565415i 0.167407 0.0624396i
\(83\) 7.53733 10.0687i 0.827329 1.10518i −0.165567 0.986198i \(-0.552946\pi\)
0.992896 0.118984i \(-0.0379636\pi\)
\(84\) −0.281817 0.325234i −0.0307488 0.0354860i
\(85\) −13.9843 5.83418i −1.51681 0.632806i
\(86\) 4.95100 + 7.70391i 0.533880 + 0.830734i
\(87\) 9.41732 7.04972i 1.00964 0.755809i
\(88\) 1.12170 + 5.15639i 0.119574 + 0.549673i
\(89\) −7.51830 + 8.67658i −0.796938 + 0.919715i −0.998209 0.0598201i \(-0.980947\pi\)
0.201271 + 0.979536i \(0.435493\pi\)
\(90\) 0.150502 0.0748583i 0.0158643 0.00789076i
\(91\) 0.350601i 0.0367530i
\(92\) −0.333310 + 4.78423i −0.0347500 + 0.498791i
\(93\) −4.32877 + 4.32877i −0.448872 + 0.448872i
\(94\) 0.605311 2.06150i 0.0624331 0.212627i
\(95\) −11.6889 + 12.4909i −1.19925 + 1.28154i
\(96\) 1.47524 + 0.948077i 0.150566 + 0.0967627i
\(97\) −0.636606 0.850406i −0.0646375 0.0863456i 0.767057 0.641578i \(-0.221720\pi\)
−0.831695 + 0.555233i \(0.812629\pi\)
\(98\) 1.47516 6.78118i 0.149013 0.685003i
\(99\) 0.164789 + 0.360837i 0.0165619 + 0.0362655i
\(100\) 4.01789 2.97600i 0.401789 0.297600i
\(101\) −0.731764 5.08953i −0.0728132 0.506427i −0.993292 0.115634i \(-0.963110\pi\)
0.920479 0.390793i \(-0.127799\pi\)
\(102\) −4.15277 11.1340i −0.411185 1.10243i
\(103\) −9.80258 5.35262i −0.965877 0.527409i −0.0827642 0.996569i \(-0.526375\pi\)
−0.883113 + 0.469160i \(0.844557\pi\)
\(104\) 0.402501 + 1.37079i 0.0394685 + 0.134417i
\(105\) −0.859401 0.432921i −0.0838690 0.0422487i
\(106\) −0.805784 + 0.115854i −0.0782647 + 0.0112528i
\(107\) −5.71516 0.408756i −0.552505 0.0395160i −0.207704 0.978192i \(-0.566599\pi\)
−0.344801 + 0.938676i \(0.612054\pi\)
\(108\) −4.80564 1.79241i −0.462423 0.172475i
\(109\) 12.6726 8.14418i 1.21381 0.780071i 0.232522 0.972591i \(-0.425302\pi\)
0.981293 + 0.192520i \(0.0616660\pi\)
\(110\) 6.70497 + 9.70958i 0.639294 + 0.925772i
\(111\) −2.00398 + 3.11825i −0.190209 + 0.295972i
\(112\) −0.0175070 0.244780i −0.00165426 0.0231295i
\(113\) 4.26399 + 7.80891i 0.401122 + 0.734600i 0.997688 0.0679640i \(-0.0216503\pi\)
−0.596566 + 0.802564i \(0.703469\pi\)
\(114\) −13.4161 −1.25653
\(115\) 3.37947 + 10.1774i 0.315138 + 0.949046i
\(116\) 6.70824 0.622845
\(117\) 0.0514697 + 0.0942597i 0.00475838 + 0.00871431i
\(118\) −0.257119 3.59499i −0.0236697 0.330945i
\(119\) −0.899068 + 1.39898i −0.0824175 + 0.128244i
\(120\) 3.85712 + 0.706028i 0.352105 + 0.0644512i
\(121\) −14.1722 + 9.10792i −1.28838 + 0.827993i
\(122\) 8.05650 + 3.00492i 0.729401 + 0.272053i
\(123\) 2.83003 + 0.202408i 0.255175 + 0.0182505i
\(124\) −3.45542 + 0.496815i −0.310306 + 0.0446153i
\(125\) 5.77814 9.57147i 0.516812 0.856099i
\(126\) −0.00519734 0.0177005i −0.000463016 0.00157689i
\(127\) −8.57513 4.68238i −0.760920 0.415494i 0.0514206 0.998677i \(-0.483625\pi\)
−0.812341 + 0.583183i \(0.801807\pi\)
\(128\) 0.349464 + 0.936950i 0.0308886 + 0.0828154i
\(129\) 2.28544 + 15.8956i 0.201221 + 1.39953i
\(130\) 1.99818 + 2.49253i 0.175252 + 0.218609i
\(131\) −0.506783 1.10970i −0.0442778 0.0969549i 0.886200 0.463302i \(-0.153336\pi\)
−0.930478 + 0.366347i \(0.880608\pi\)
\(132\) −1.96704 + 9.04232i −0.171209 + 0.787033i
\(133\) 1.12513 + 1.50300i 0.0975611 + 0.130326i
\(134\) 9.60521 + 6.17289i 0.829764 + 0.533257i
\(135\) −11.4625 + 0.380219i −0.986539 + 0.0327241i
\(136\) 1.90914 6.50193i 0.163707 0.557536i
\(137\) −9.64816 + 9.64816i −0.824298 + 0.824298i −0.986721 0.162423i \(-0.948069\pi\)
0.162423 + 0.986721i \(0.448069\pi\)
\(138\) −4.01689 + 7.38874i −0.341941 + 0.628972i
\(139\) 3.12457i 0.265023i 0.991181 + 0.132511i \(0.0423041\pi\)
−0.991181 + 0.132511i \(0.957696\pi\)
\(140\) −0.244379 0.491322i −0.0206538 0.0415243i
\(141\) 2.46732 2.84744i 0.207786 0.239797i
\(142\) −1.02181 4.69719i −0.0857485 0.394180i
\(143\) −6.03531 + 4.51797i −0.504698 + 0.377812i
\(144\) 0.0406415 + 0.0632393i 0.00338679 + 0.00526994i
\(145\) 13.8728 5.70505i 1.15207 0.473778i
\(146\) −6.04682 6.97841i −0.500439 0.577537i
\(147\) 7.29304 9.74235i 0.601519 0.803536i
\(148\) −1.98046 + 0.738673i −0.162793 + 0.0607186i
\(149\) −17.2155 + 5.05494i −1.41035 + 0.414117i −0.896226 0.443598i \(-0.853702\pi\)
−0.514126 + 0.857715i \(0.671884\pi\)
\(150\) 8.57707 1.82022i 0.700315 0.148620i
\(151\) 5.26709 11.5333i 0.428630 0.938569i −0.564917 0.825148i \(-0.691092\pi\)
0.993547 0.113421i \(-0.0361809\pi\)
\(152\) −6.12456 4.58479i −0.496767 0.371875i
\(153\) 0.0363403 0.508104i 0.00293794 0.0410778i
\(154\) 1.17797 0.537962i 0.0949237 0.0433502i
\(155\) −6.72338 + 3.96610i −0.540035 + 0.318565i
\(156\) −0.356546 + 2.47983i −0.0285465 + 0.198545i
\(157\) 1.38992 0.302358i 0.110927 0.0241308i −0.156759 0.987637i \(-0.550105\pi\)
0.267686 + 0.963506i \(0.413741\pi\)
\(158\) −2.97065 + 0.212465i −0.236332 + 0.0169028i
\(159\) −1.36974 0.402192i −0.108628 0.0318959i
\(160\) 1.51953 + 1.64043i 0.120130 + 0.129688i
\(161\) 1.16463 0.169641i 0.0917858 0.0133696i
\(162\) −6.51943 6.51943i −0.512215 0.512215i
\(163\) 5.48467 2.99486i 0.429593 0.234575i −0.249879 0.968277i \(-0.580391\pi\)
0.679472 + 0.733702i \(0.262209\pi\)
\(164\) 1.22276 + 1.05953i 0.0954817 + 0.0827354i
\(165\) 3.62219 + 20.3726i 0.281987 + 1.58601i
\(166\) 12.4493 + 1.78994i 0.966255 + 0.138927i
\(167\) −17.4333 3.79237i −1.34903 0.293463i −0.520714 0.853731i \(-0.674334\pi\)
−0.828311 + 0.560268i \(0.810698\pi\)
\(168\) 0.150391 0.403213i 0.0116029 0.0311086i
\(169\) 8.28220 7.17657i 0.637092 0.552044i
\(170\) −1.58144 15.0698i −0.121291 1.15580i
\(171\) −0.523139 0.238910i −0.0400054 0.0182699i
\(172\) −4.38880 + 8.03748i −0.334643 + 0.612852i
\(173\) 0.608696 1.11474i 0.0462783 0.0847524i −0.853516 0.521066i \(-0.825534\pi\)
0.899795 + 0.436314i \(0.143716\pi\)
\(174\) 10.7006 + 4.88681i 0.811213 + 0.370468i
\(175\) −0.923228 0.808234i −0.0697895 0.0610967i
\(176\) −3.98808 + 3.45569i −0.300613 + 0.260482i
\(177\) 2.20873 5.92184i 0.166018 0.445112i
\(178\) −11.2184 2.44041i −0.840854 0.182917i
\(179\) 7.05640 + 1.01456i 0.527420 + 0.0758316i 0.400881 0.916130i \(-0.368704\pi\)
0.126539 + 0.991962i \(0.459613\pi\)
\(180\) 0.137830 + 0.0962169i 0.0102732 + 0.00717158i
\(181\) −9.91174 8.58857i −0.736734 0.638384i 0.203436 0.979088i \(-0.434789\pi\)
−0.940170 + 0.340705i \(0.889334\pi\)
\(182\) 0.307715 0.168025i 0.0228094 0.0124549i
\(183\) 10.6623 + 10.6623i 0.788178 + 0.788178i
\(184\) −4.35876 + 2.00030i −0.321332 + 0.147464i
\(185\) −3.46743 + 3.21188i −0.254931 + 0.236142i
\(186\) −5.87382 1.72471i −0.430690 0.126462i
\(187\) 35.6679 2.55102i 2.60830 0.186549i
\(188\) 2.09943 0.456703i 0.153117 0.0333085i
\(189\) −0.179130 + 1.24588i −0.0130298 + 0.0906243i
\(190\) −16.5649 4.27281i −1.20174 0.309982i
\(191\) 9.60602 4.38692i 0.695067 0.317427i −0.0363670 0.999339i \(-0.511579\pi\)
0.731434 + 0.681912i \(0.238851\pi\)
\(192\) −0.125102 + 1.74915i −0.00902843 + 0.126234i
\(193\) 15.8973 + 11.9006i 1.14431 + 0.856622i 0.991303 0.131603i \(-0.0420123\pi\)
0.153010 + 0.988225i \(0.451103\pi\)
\(194\) 0.441291 0.966292i 0.0316828 0.0693757i
\(195\) 1.37163 + 5.43157i 0.0982247 + 0.388963i
\(196\) 6.65867 1.95516i 0.475619 0.139654i
\(197\) −10.3365 + 3.85530i −0.736443 + 0.274679i −0.689567 0.724222i \(-0.742199\pi\)
−0.0468756 + 0.998901i \(0.514926\pi\)
\(198\) −0.237725 + 0.317563i −0.0168943 + 0.0225682i
\(199\) −14.7946 17.0738i −1.04876 1.21033i −0.977073 0.212904i \(-0.931708\pi\)
−0.0716848 0.997427i \(-0.522838\pi\)
\(200\) 4.53754 + 2.10017i 0.320853 + 0.148504i
\(201\) 10.8249 + 16.8439i 0.763529 + 1.18807i
\(202\) 4.11628 3.08140i 0.289620 0.216807i
\(203\) −0.349933 1.60862i −0.0245605 0.112903i
\(204\) 7.78187 8.98076i 0.544840 0.628779i
\(205\) 3.42979 + 1.15123i 0.239547 + 0.0804056i
\(206\) 11.1688i 0.778164i
\(207\) −0.288209 + 0.216581i −0.0200319 + 0.0150534i
\(208\) −1.01022 + 1.01022i −0.0700460 + 0.0700460i
\(209\) 11.3740 38.7363i 0.786757 2.67945i
\(210\) −0.0319020 0.961755i −0.00220145 0.0663674i
\(211\) −5.08949 3.27082i −0.350375 0.225172i 0.353600 0.935397i \(-0.384957\pi\)
−0.703976 + 0.710224i \(0.748594\pi\)
\(212\) −0.487854 0.651697i −0.0335060 0.0447587i
\(213\) 1.79187 8.23708i 0.122777 0.564395i
\(214\) −2.38023 5.21197i −0.162709 0.356283i
\(215\) −2.24064 + 20.3542i −0.152811 + 1.38814i
\(216\) −0.729937 5.07682i −0.0496659 0.345434i
\(217\) 0.299385 + 0.802683i 0.0203236 + 0.0544897i
\(218\) 13.2213 + 7.21938i 0.895460 + 0.488958i
\(219\) −4.56195 15.5366i −0.308268 1.04986i
\(220\) −5.30854 + 10.5381i −0.357902 + 0.710480i
\(221\) 9.58269 1.37778i 0.644601 0.0926797i
\(222\) −3.69723 0.264431i −0.248142 0.0177475i
\(223\) −8.71090 3.24900i −0.583325 0.217569i 0.0404387 0.999182i \(-0.487124\pi\)
−0.623764 + 0.781613i \(0.714397\pi\)
\(224\) 0.206448 0.132676i 0.0137939 0.00886479i
\(225\) 0.366863 + 0.0817614i 0.0244575 + 0.00545076i
\(226\) −4.81020 + 7.48482i −0.319970 + 0.497883i
\(227\) 1.68420 + 23.5482i 0.111785 + 1.56295i 0.675736 + 0.737144i \(0.263826\pi\)
−0.563951 + 0.825808i \(0.690720\pi\)
\(228\) −6.42965 11.7750i −0.425814 0.779819i
\(229\) 15.3294 1.01300 0.506499 0.862240i \(-0.330939\pi\)
0.506499 + 0.862240i \(0.330939\pi\)
\(230\) −7.31287 + 7.84359i −0.482196 + 0.517191i
\(231\) 2.27093 0.149416
\(232\) 3.21492 + 5.88768i 0.211070 + 0.386545i
\(233\) 0.0945293 + 1.32169i 0.00619282 + 0.0865869i 0.999609 0.0279785i \(-0.00890700\pi\)
−0.993416 + 0.114565i \(0.963452\pi\)
\(234\) −0.0580630 + 0.0903478i −0.00379570 + 0.00590622i
\(235\) 3.95327 2.72994i 0.257883 0.178082i
\(236\) 3.03202 1.94856i 0.197368 0.126841i
\(237\) −4.89340 1.82514i −0.317860 0.118556i
\(238\) −1.65873 0.118635i −0.107520 0.00768995i
\(239\) 15.9713 2.29633i 1.03310 0.148537i 0.395151 0.918616i \(-0.370692\pi\)
0.637949 + 0.770079i \(0.279783\pi\)
\(240\) 1.22886 + 3.72368i 0.0793223 + 0.240362i
\(241\) 6.83317 + 23.2717i 0.440163 + 1.49906i 0.819108 + 0.573640i \(0.194469\pi\)
−0.378944 + 0.925419i \(0.623713\pi\)
\(242\) −14.7858 8.07368i −0.950470 0.518996i
\(243\) −0.272944 0.731791i −0.0175094 0.0469444i
\(244\) 1.22371 + 8.51112i 0.0783403 + 0.544869i
\(245\) 12.1075 9.70621i 0.773521 0.620107i
\(246\) 1.17864 + 2.58086i 0.0751474 + 0.164550i
\(247\) 2.32334 10.6802i 0.147831 0.679567i
\(248\) −2.09205 2.79465i −0.132845 0.177461i
\(249\) 18.5546 + 11.9243i 1.17585 + 0.755672i
\(250\) 11.1698 + 0.484230i 0.706443 + 0.0306254i
\(251\) 0.467128 1.59089i 0.0294849 0.100416i −0.943436 0.331555i \(-0.892427\pi\)
0.972921 + 0.231138i \(0.0742450\pi\)
\(252\) 0.0130445 0.0130445i 0.000821729 0.000821729i
\(253\) −17.9281 17.8621i −1.12713 1.12298i
\(254\) 9.77024i 0.613039i
\(255\) 8.45539 25.1906i 0.529497 1.57749i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −2.66759 12.2627i −0.166400 0.764927i −0.982387 0.186857i \(-0.940170\pi\)
0.815987 0.578070i \(-0.196194\pi\)
\(258\) −12.8559 + 9.62381i −0.800374 + 0.599152i
\(259\) 0.280441 + 0.436375i 0.0174258 + 0.0271150i
\(260\) −1.23001 + 2.94830i −0.0762822 + 0.182846i
\(261\) 0.330231 + 0.381107i 0.0204408 + 0.0235899i
\(262\) 0.731085 0.976615i 0.0451666 0.0603355i
\(263\) 6.13562 2.28847i 0.378338 0.141113i −0.153098 0.988211i \(-0.548925\pi\)
0.531437 + 0.847098i \(0.321652\pi\)
\(264\) −8.87896 + 2.60710i −0.546462 + 0.160456i
\(265\) −1.56313 0.932829i −0.0960225 0.0573032i
\(266\) −0.779932 + 1.70781i −0.0478207 + 0.104713i
\(267\) −16.1172 12.0652i −0.986355 0.738376i
\(268\) −0.814532 + 11.3886i −0.0497555 + 0.695672i
\(269\) 12.2575 5.59783i 0.747355 0.341305i −0.00506694 0.999987i \(-0.501613\pi\)
0.752422 + 0.658682i \(0.228886\pi\)
\(270\) −5.82713 9.87822i −0.354628 0.601169i
\(271\) −0.590447 + 4.10665i −0.0358671 + 0.249461i −0.999865 0.0164499i \(-0.994764\pi\)
0.963998 + 0.265911i \(0.0856727\pi\)
\(272\) 6.62156 1.44043i 0.401491 0.0873390i
\(273\) 0.613254 0.0438608i 0.0371158 0.00265458i
\(274\) −13.0919 3.84412i −0.790908 0.232231i
\(275\) −2.01602 + 26.3078i −0.121571 + 1.58642i
\(276\) −8.41004 + 0.0155065i −0.506225 + 0.000933380i
\(277\) −0.156149 0.156149i −0.00938207 0.00938207i 0.702400 0.711782i \(-0.252112\pi\)
−0.711782 + 0.702400i \(0.752112\pi\)
\(278\) −2.74237 + 1.49745i −0.164477 + 0.0898110i
\(279\) −0.198327 0.171852i −0.0118735 0.0102885i
\(280\) 0.314105 0.449952i 0.0187714 0.0268898i
\(281\) 12.7191 + 1.82873i 0.758759 + 0.109093i 0.510826 0.859684i \(-0.329340\pi\)
0.247933 + 0.968777i \(0.420249\pi\)
\(282\) 3.68160 + 0.800882i 0.219236 + 0.0476918i
\(283\) −8.17564 + 21.9197i −0.485991 + 1.30299i 0.430374 + 0.902651i \(0.358382\pi\)
−0.916365 + 0.400343i \(0.868891\pi\)
\(284\) 3.63293 3.14795i 0.215574 0.186796i
\(285\) −23.3108 18.8829i −1.38081 1.11853i
\(286\) −6.85774 3.13183i −0.405507 0.185189i
\(287\) 0.190287 0.348485i 0.0112323 0.0205704i
\(288\) −0.0360265 + 0.0659775i −0.00212288 + 0.00388776i
\(289\) −26.3064 12.0137i −1.54744 0.706691i
\(290\) 11.6557 + 9.44174i 0.684448 + 0.554438i
\(291\) 1.40785 1.21991i 0.0825294 0.0715121i
\(292\) 3.22687 8.65156i 0.188838 0.506294i
\(293\) −22.1934 4.82787i −1.29655 0.282047i −0.489227 0.872156i \(-0.662721\pi\)
−0.807324 + 0.590109i \(0.799085\pi\)
\(294\) 12.0458 + 1.73193i 0.702528 + 0.101008i
\(295\) 4.61314 6.60827i 0.268587 0.384748i
\(296\) −1.59745 1.38420i −0.0928500 0.0804550i
\(297\) 23.7551 12.9712i 1.37841 0.752668i
\(298\) −12.6871 12.6871i −0.734947 0.734947i
\(299\) −5.18638 4.47731i −0.299936 0.258929i
\(300\) 5.70812 + 6.65558i 0.329558 + 0.384260i
\(301\) 2.15630 + 0.633147i 0.124287 + 0.0364940i
\(302\) 12.6468 0.904517i 0.727742 0.0520491i
\(303\) 8.81080 1.91667i 0.506167 0.110110i
\(304\) 1.08878 7.57265i 0.0624460 0.434321i
\(305\) 9.76898 + 16.5605i 0.559370 + 0.948252i
\(306\) 0.463368 0.211613i 0.0264890 0.0120971i
\(307\) −0.492862 + 6.89111i −0.0281291 + 0.393296i 0.963811 + 0.266587i \(0.0858960\pi\)
−0.991940 + 0.126709i \(0.959559\pi\)
\(308\) 1.03670 + 0.776063i 0.0590714 + 0.0442203i
\(309\) 8.13620 17.8158i 0.462852 1.01351i
\(310\) −6.70314 4.00022i −0.380713 0.227197i
\(311\) 3.75909 1.10377i 0.213158 0.0625890i −0.173410 0.984850i \(-0.555479\pi\)
0.386568 + 0.922261i \(0.373660\pi\)
\(312\) −2.34737 + 0.875523i −0.132894 + 0.0495667i
\(313\) −13.8577 + 18.5117i −0.783281 + 1.04634i 0.214296 + 0.976769i \(0.431254\pi\)
−0.997577 + 0.0695719i \(0.977837\pi\)
\(314\) 0.931490 + 1.07500i 0.0525670 + 0.0606656i
\(315\) 0.0158827 0.0380702i 0.000894888 0.00214501i
\(316\) −1.61016 2.50545i −0.0905784 0.140943i
\(317\) −9.85259 + 7.37556i −0.553377 + 0.414253i −0.839034 0.544079i \(-0.816879\pi\)
0.285657 + 0.958332i \(0.407788\pi\)
\(318\) −0.303451 1.39494i −0.0170167 0.0782246i
\(319\) −23.1816 + 26.7530i −1.29792 + 1.49788i
\(320\) −0.711539 + 2.11984i −0.0397762 + 0.118503i
\(321\) 10.0478i 0.560814i
\(322\) 0.707039 + 0.940872i 0.0394017 + 0.0524328i
\(323\) −36.6586 + 36.6586i −2.03974 + 2.03974i
\(324\) 2.59754 8.84640i 0.144308 0.491467i
\(325\) −0.0363092 + 7.14323i −0.00201407 + 0.396235i
\(326\) 5.25705 + 3.37850i 0.291161 + 0.187118i
\(327\) 15.8308 + 21.1474i 0.875443 + 1.16945i
\(328\) −0.343919 + 1.58097i −0.0189898 + 0.0872946i
\(329\) −0.219032 0.479613i −0.0120756 0.0264419i
\(330\) −16.1447 + 12.9427i −0.888736 + 0.712471i
\(331\) 1.81939 + 12.6542i 0.100003 + 0.695535i 0.976718 + 0.214526i \(0.0688206\pi\)
−0.876715 + 0.481009i \(0.840270\pi\)
\(332\) 4.39533 + 11.7843i 0.241225 + 0.646750i
\(333\) −0.139459 0.0761502i −0.00764229 0.00417301i
\(334\) −5.02638 17.1183i −0.275031 0.936671i
\(335\) 8.00103 + 24.2447i 0.437143 + 1.32463i
\(336\) 0.425966 0.0612447i 0.0232384 0.00334117i
\(337\) 0.343148 + 0.0245424i 0.0186924 + 0.00133691i 0.0806823 0.996740i \(-0.474290\pi\)
−0.0619898 + 0.998077i \(0.519745\pi\)
\(338\) 10.2680 + 3.82975i 0.558503 + 0.208311i
\(339\) −13.1255 + 8.43525i −0.712880 + 0.458140i
\(340\) 12.4685 8.61017i 0.676201 0.466952i
\(341\) 9.95952 15.4973i 0.539338 0.839227i
\(342\) −0.0410279 0.573645i −0.00221854 0.0310192i
\(343\) −1.63946 3.00245i −0.0885225 0.162117i
\(344\) −9.15765 −0.493748
\(345\) −17.3790 + 7.18441i −0.935653 + 0.386796i
\(346\) 1.27010 0.0682812
\(347\) −2.70614 4.95593i −0.145273 0.266048i 0.794903 0.606737i \(-0.207522\pi\)
−0.940176 + 0.340688i \(0.889340\pi\)
\(348\) 0.839212 + 11.7337i 0.0449865 + 0.628993i
\(349\) −6.47422 + 10.0741i −0.346557 + 0.539254i −0.970153 0.242493i \(-0.922035\pi\)
0.623596 + 0.781747i \(0.285671\pi\)
\(350\) 0.266914 1.19764i 0.0142672 0.0640167i
\(351\) 6.16442 3.96163i 0.329032 0.211456i
\(352\) −4.94427 1.84412i −0.263530 0.0982917i
\(353\) −5.09971 0.364739i −0.271430 0.0194131i −0.0650395 0.997883i \(-0.520717\pi\)
−0.206391 + 0.978470i \(0.566172\pi\)
\(354\) 6.25600 0.899477i 0.332503 0.0478067i
\(355\) 4.83580 9.59967i 0.256658 0.509498i
\(356\) −3.23450 11.0157i −0.171428 0.583831i
\(357\) −2.55950 1.39759i −0.135463 0.0739683i
\(358\) 2.49132 + 6.67948i 0.131670 + 0.353022i
\(359\) 4.52619 + 31.4803i 0.238883 + 1.66147i 0.657611 + 0.753357i \(0.271567\pi\)
−0.418728 + 0.908112i \(0.637524\pi\)
\(360\) −0.0183928 + 0.167082i −0.000969388 + 0.00880600i
\(361\) 16.4216 + 35.9582i 0.864292 + 1.89254i
\(362\) 2.78782 12.8154i 0.146524 0.673562i
\(363\) −17.7041 23.6499i −0.929223 1.24130i
\(364\) 0.294945 + 0.189549i 0.0154593 + 0.00993509i
\(365\) −0.684507 20.6360i −0.0358287 1.08014i
\(366\) −4.24817 + 14.4679i −0.222055 + 0.756251i
\(367\) −8.92860 + 8.92860i −0.466069 + 0.466069i −0.900638 0.434569i \(-0.856901\pi\)
0.434569 + 0.900638i \(0.356901\pi\)
\(368\) −3.84455 2.86695i −0.200411 0.149450i
\(369\) 0.121626i 0.00633157i
\(370\) −4.48077 1.50400i −0.232944 0.0781894i
\(371\) −0.130826 + 0.150981i −0.00679216 + 0.00783857i
\(372\) −1.30128 5.98190i −0.0674683 0.310147i
\(373\) −9.03998 + 6.76724i −0.468072 + 0.350394i −0.807133 0.590370i \(-0.798982\pi\)
0.339060 + 0.940765i \(0.389891\pi\)
\(374\) 19.3328 + 30.0824i 0.999675 + 1.55552i
\(375\) 17.4648 + 8.90942i 0.901878 + 0.460080i
\(376\) 1.40699 + 1.62375i 0.0725599 + 0.0837386i
\(377\) −5.74337 + 7.67225i −0.295799 + 0.395141i
\(378\) −1.17933 + 0.439867i −0.0606581 + 0.0226243i
\(379\) −3.79703 + 1.11491i −0.195040 + 0.0572690i −0.377794 0.925890i \(-0.623317\pi\)
0.182753 + 0.983159i \(0.441499\pi\)
\(380\) −4.18855 16.5864i −0.214868 0.850864i
\(381\) 7.11741 15.5850i 0.364636 0.798442i
\(382\) 8.45399 + 6.32858i 0.432544 + 0.323798i
\(383\) 1.29764 18.1433i 0.0663062 0.927081i −0.850046 0.526708i \(-0.823426\pi\)
0.916352 0.400373i \(-0.131119\pi\)
\(384\) −1.59515 + 0.728479i −0.0814020 + 0.0371750i
\(385\) 2.80393 + 0.723255i 0.142901 + 0.0368605i
\(386\) −2.82612 + 19.6561i −0.143846 + 1.00047i
\(387\) −0.672674 + 0.146331i −0.0341939 + 0.00743843i
\(388\) 1.05958 0.0757828i 0.0537921 0.00384729i
\(389\) −0.487415 0.143118i −0.0247129 0.00725638i 0.269353 0.963042i \(-0.413190\pi\)
−0.294066 + 0.955785i \(0.595008\pi\)
\(390\) −4.10983 + 3.80693i −0.208109 + 0.192771i
\(391\) 9.21338 + 31.1652i 0.465941 + 1.57609i
\(392\) 4.90716 + 4.90716i 0.247849 + 0.247849i
\(393\) 1.87763 1.02526i 0.0947140 0.0517177i
\(394\) −8.33746 7.22445i −0.420035 0.363962i
\(395\) −5.46061 3.81198i −0.274753 0.191801i
\(396\) −0.392647 0.0564542i −0.0197313 0.00283693i
\(397\) −25.5068 5.54867i −1.28015 0.278480i −0.479463 0.877562i \(-0.659168\pi\)
−0.800687 + 0.599083i \(0.795532\pi\)
\(398\) 7.89506 21.1675i 0.395744 1.06103i
\(399\) −2.48821 + 2.15605i −0.124566 + 0.107937i
\(400\) 0.331341 + 4.98901i 0.0165671 + 0.249450i
\(401\) −31.5294 14.3990i −1.57450 0.719052i −0.579140 0.815228i \(-0.696612\pi\)
−0.995364 + 0.0961757i \(0.969339\pi\)
\(402\) −9.59568 + 17.5732i −0.478589 + 0.876471i
\(403\) 2.39021 4.37734i 0.119065 0.218051i
\(404\) 4.67720 + 2.13601i 0.232700 + 0.106270i
\(405\) −2.15167 20.5037i −0.106918 1.01884i
\(406\) 1.24414 1.07806i 0.0617458 0.0535030i
\(407\) 3.89796 10.4508i 0.193215 0.518029i
\(408\) 11.6117 + 2.52597i 0.574864 + 0.125054i
\(409\) 35.9611 + 5.17042i 1.77816 + 0.255661i 0.951633 0.307236i \(-0.0994040\pi\)
0.826527 + 0.562897i \(0.190313\pi\)
\(410\) 0.633308 + 3.56198i 0.0312769 + 0.175914i
\(411\) −18.0831 15.6691i −0.891972 0.772898i
\(412\) 9.80258 5.35262i 0.482939 0.263704i
\(413\) −0.625423 0.625423i −0.0307751 0.0307751i
\(414\) −0.328212 0.149159i −0.0161308 0.00733075i
\(415\) 19.1117 + 20.6323i 0.938156 + 1.01280i
\(416\) −1.37079 0.402501i −0.0672087 0.0197342i
\(417\) −5.46534 + 0.390889i −0.267639 + 0.0191419i
\(418\) 39.4490 8.58161i 1.92952 0.419740i
\(419\) 5.41206 37.6417i 0.264396 1.83892i −0.234331 0.972157i \(-0.575290\pi\)
0.498727 0.866759i \(-0.333801\pi\)
\(420\) 0.828823 0.488920i 0.0404424 0.0238568i
\(421\) −26.7015 + 12.1942i −1.30135 + 0.594307i −0.940967 0.338498i \(-0.890081\pi\)
−0.360383 + 0.932805i \(0.617354\pi\)
\(422\) 0.431594 6.03448i 0.0210097 0.293754i
\(423\) 0.129296 + 0.0967899i 0.00628659 + 0.00470608i
\(424\) 0.338177 0.740505i 0.0164233 0.0359621i
\(425\) 18.4627 28.4100i 0.895572 1.37809i
\(426\) 8.08826 2.37493i 0.391878 0.115066i
\(427\) 1.97711 0.737422i 0.0956789 0.0356864i
\(428\) 3.43372 4.58691i 0.165975 0.221717i
\(429\) −8.65764 9.99144i −0.417995 0.482391i
\(430\) −18.9383 + 7.78815i −0.913284 + 0.375578i
\(431\) −6.35121 9.88268i −0.305927 0.476032i 0.653917 0.756567i \(-0.273125\pi\)
−0.959844 + 0.280534i \(0.909488\pi\)
\(432\) 4.10600 3.07371i 0.197550 0.147884i
\(433\) −2.26302 10.4030i −0.108754 0.499934i −0.999011 0.0444747i \(-0.985839\pi\)
0.890256 0.455460i \(-0.150525\pi\)
\(434\) −0.561018 + 0.647449i −0.0269297 + 0.0310786i
\(435\) 11.7145 + 23.5519i 0.561667 + 1.12923i
\(436\) 15.0639i 0.721432i
\(437\) 36.6019 + 2.55000i 1.75091 + 0.121983i
\(438\) 11.4498 11.4498i 0.547093 0.547093i
\(439\) −10.0168 + 34.1139i −0.478074 + 1.62817i 0.268795 + 0.963197i \(0.413375\pi\)
−0.746868 + 0.664972i \(0.768444\pi\)
\(440\) −11.7932 + 0.391187i −0.562219 + 0.0186491i
\(441\) 0.438867 + 0.282043i 0.0208984 + 0.0134306i
\(442\) 5.80174 + 7.75022i 0.275961 + 0.368640i
\(443\) 1.40041 6.43758i 0.0665355 0.305859i −0.931838 0.362875i \(-0.881795\pi\)
0.998373 + 0.0570164i \(0.0181587\pi\)
\(444\) −1.53981 3.37171i −0.0730761 0.160014i
\(445\) −16.0574 20.0300i −0.761193 0.949512i
\(446\) −1.32311 9.20245i −0.0626512 0.435749i
\(447\) −10.9955 29.4802i −0.520071 1.39436i
\(448\) 0.215387 + 0.117610i 0.0101761 + 0.00555656i
\(449\) 1.35374 + 4.61040i 0.0638868 + 0.217578i 0.985249 0.171127i \(-0.0547407\pi\)
−0.921362 + 0.388705i \(0.872923\pi\)
\(450\) 0.104059 + 0.361172i 0.00490537 + 0.0170258i
\(451\) −8.45097 + 1.21507i −0.397941 + 0.0572152i
\(452\) −8.87456 0.634721i −0.417424 0.0298548i
\(453\) 20.8324 + 7.77009i 0.978793 + 0.365071i
\(454\) −19.8606 + 12.7637i −0.932106 + 0.599028i
\(455\) 0.771156 + 0.141156i 0.0361524 + 0.00661752i
\(456\) 7.25328 11.2863i 0.339666 0.528531i
\(457\) −0.200601 2.80477i −0.00938371 0.131201i 0.990601 0.136785i \(-0.0436771\pi\)
−0.999984 + 0.00558404i \(0.998223\pi\)
\(458\) 7.34662 + 13.4543i 0.343285 + 0.628680i
\(459\) −34.7564 −1.62229
\(460\) −10.3888 2.65932i −0.484382 0.123991i
\(461\) 35.7973 1.66725 0.833624 0.552332i \(-0.186262\pi\)
0.833624 + 0.552332i \(0.186262\pi\)
\(462\) 1.08834 + 1.99315i 0.0506342 + 0.0927296i
\(463\) 0.0564129 + 0.788755i 0.00262173 + 0.0366566i 0.998595 0.0529989i \(-0.0168780\pi\)
−0.995973 + 0.0896554i \(0.971423\pi\)
\(464\) −3.62675 + 5.64333i −0.168368 + 0.261985i
\(465\) −7.77841 11.2640i −0.360715 0.522357i
\(466\) −1.11472 + 0.716386i −0.0516383 + 0.0331859i
\(467\) −7.93905 2.96111i −0.367375 0.137024i 0.158995 0.987279i \(-0.449175\pi\)
−0.526370 + 0.850256i \(0.676447\pi\)
\(468\) −0.107123 0.00766158i −0.00495176 0.000354157i
\(469\) 2.77345 0.398762i 0.128066 0.0184131i
\(470\) 4.29061 + 2.16138i 0.197911 + 0.0996971i
\(471\) 0.702750 + 2.39335i 0.0323810 + 0.110280i
\(472\) 3.16330 + 1.72730i 0.145603 + 0.0795052i
\(473\) −16.8878 45.2779i −0.776501 2.08188i
\(474\) −0.743266 5.16953i −0.0341393 0.237444i
\(475\) −22.7680 30.7389i −1.04467 1.41040i
\(476\) −0.690822 1.51269i −0.0316638 0.0693340i
\(477\) 0.0130081 0.0597974i 0.000595601 0.00273793i
\(478\) 9.66969 + 12.9172i 0.442281 + 0.590819i
\(479\) −23.9303 15.3791i −1.09340 0.702688i −0.135789 0.990738i \(-0.543357\pi\)
−0.957616 + 0.288049i \(0.906993\pi\)
\(480\) −2.67927 + 2.86311i −0.122291 + 0.130682i
\(481\) 0.850779 2.89749i 0.0387922 0.132114i
\(482\) −17.1502 + 17.1502i −0.781172 + 0.781172i
\(483\) 0.442425 + 2.01589i 0.0201310 + 0.0917262i
\(484\) 16.8465i 0.765751i
\(485\) 2.12679 1.05785i 0.0965727 0.0480343i
\(486\) 0.511470 0.590267i 0.0232007 0.0267751i
\(487\) −9.11784 41.9141i −0.413169 1.89931i −0.436746 0.899585i \(-0.643869\pi\)
0.0235766 0.999722i \(-0.492495\pi\)
\(488\) −6.88357 + 5.15298i −0.311605 + 0.233264i
\(489\) 5.92460 + 9.21885i 0.267919 + 0.416891i
\(490\) 14.3214 + 5.97483i 0.646977 + 0.269915i
\(491\) 3.25572 + 3.75730i 0.146929 + 0.169565i 0.824443 0.565945i \(-0.191488\pi\)
−0.677515 + 0.735509i \(0.736943\pi\)
\(492\) −1.70031 + 2.27134i −0.0766557 + 0.102400i
\(493\) 42.5917 15.8859i 1.91824 0.715465i
\(494\) 10.4873 3.07934i 0.471845 0.138546i
\(495\) −0.860016 + 0.217180i −0.0386549 + 0.00976149i
\(496\) 1.45020 3.17548i 0.0651157 0.142583i
\(497\) −0.944378 0.706953i −0.0423611 0.0317112i
\(498\) −1.57345 + 21.9997i −0.0705078 + 0.985828i
\(499\) 0.773929 0.353441i 0.0346458 0.0158222i −0.398017 0.917378i \(-0.630301\pi\)
0.432663 + 0.901556i \(0.357574\pi\)
\(500\) 4.92814 + 10.0356i 0.220393 + 0.448806i
\(501\) 4.45250 30.9678i 0.198923 1.38354i
\(502\) 1.62016 0.352445i 0.0723114 0.0157304i
\(503\) 16.2507 1.16227i 0.724582 0.0518231i 0.295824 0.955242i \(-0.404406\pi\)
0.428758 + 0.903419i \(0.358951\pi\)
\(504\) 0.0177005 + 0.00519734i 0.000788443 + 0.000231508i
\(505\) 11.4892 + 0.439576i 0.511261 + 0.0195609i
\(506\) 7.08517 24.2955i 0.314974 1.08007i
\(507\) 13.5890 + 13.5890i 0.603509 + 0.603509i
\(508\) 8.57513 4.68238i 0.380460 0.207747i
\(509\) 30.1188 + 26.0981i 1.33499 + 1.15678i 0.974594 + 0.223979i \(0.0719047\pi\)
0.360399 + 0.932798i \(0.382641\pi\)
\(510\) 26.1615 4.65142i 1.15845 0.205969i
\(511\) −2.24295 0.322487i −0.0992221 0.0142660i
\(512\) −0.977147 0.212565i −0.0431842 0.00939415i
\(513\) −13.7129 + 36.7657i −0.605438 + 1.62324i
\(514\) 9.48429 8.21818i 0.418334 0.362488i
\(515\) 15.7198 19.4060i 0.692699 0.855130i
\(516\) −14.6078 6.67116i −0.643072 0.293681i
\(517\) −5.43361 + 9.95091i −0.238970 + 0.437640i
\(518\) −0.248596 + 0.455270i −0.0109227 + 0.0200034i
\(519\) 2.02600 + 0.925244i 0.0889316 + 0.0406137i
\(520\) −3.17714 + 0.333412i −0.139327 + 0.0146211i
\(521\) −6.19397 + 5.36710i −0.271363 + 0.235137i −0.779902 0.625902i \(-0.784731\pi\)
0.508539 + 0.861039i \(0.330186\pi\)
\(522\) −0.176227 + 0.472482i −0.00771323 + 0.0206800i
\(523\) 27.3792 + 5.95598i 1.19721 + 0.260437i 0.766614 0.642108i \(-0.221940\pi\)
0.430595 + 0.902545i \(0.358304\pi\)
\(524\) 1.20753 + 0.173616i 0.0527510 + 0.00758446i
\(525\) 1.29822 1.71597i 0.0566592 0.0748913i
\(526\) 4.94903 + 4.28836i 0.215788 + 0.186981i
\(527\) −20.7625 + 11.3372i −0.904430 + 0.493856i
\(528\) −6.54343 6.54343i −0.284766 0.284766i
\(529\) 12.3633 19.3946i 0.537535 0.843241i
\(530\) 0.0695945 1.81899i 0.00302299 0.0790117i
\(531\) 0.259961 + 0.0763313i 0.0112813 + 0.00331250i
\(532\) −1.87269 + 0.133938i −0.0811916 + 0.00580693i
\(533\) −2.25868 + 0.491345i −0.0978342 + 0.0212825i
\(534\) 2.86520 19.9279i 0.123989 0.862366i
\(535\) 3.20006 12.4061i 0.138351 0.536361i
\(536\) −10.3859 + 4.74310i −0.448604 + 0.204871i
\(537\) −0.891845 + 12.4696i −0.0384860 + 0.538104i
\(538\) 10.7875 + 8.07542i 0.465082 + 0.348156i
\(539\) −15.2129 + 33.3117i −0.655268 + 1.43484i
\(540\) 5.87726 9.84847i 0.252917 0.423811i
\(541\) −22.4380 + 6.58839i −0.964684 + 0.283257i −0.725888 0.687813i \(-0.758571\pi\)
−0.238796 + 0.971070i \(0.576753\pi\)
\(542\) −3.88729 + 1.44988i −0.166973 + 0.0622778i
\(543\) 13.7827 18.4116i 0.591473 0.790116i
\(544\) 4.43761 + 5.12128i 0.190261 + 0.219573i
\(545\) 12.8112 + 31.1526i 0.548771 + 1.33443i
\(546\) 0.332397 + 0.517220i 0.0142253 + 0.0221350i
\(547\) −17.0061 + 12.7306i −0.727127 + 0.544321i −0.897476 0.441063i \(-0.854601\pi\)
0.170349 + 0.985384i \(0.445511\pi\)
\(548\) −2.90036 13.3327i −0.123897 0.569546i
\(549\) −0.423291 + 0.488504i −0.0180656 + 0.0208489i
\(550\) −24.0560 + 10.8385i −1.02575 + 0.462157i
\(551\) 51.3216i 2.18637i
\(552\) −4.04411 7.37388i −0.172129 0.313853i
\(553\) −0.516806 + 0.516806i −0.0219768 + 0.0219768i
\(554\) 0.0622144 0.211883i 0.00264324 0.00900203i
\(555\) −6.05184 5.66325i −0.256886 0.240391i
\(556\) −2.62856 1.68927i −0.111476 0.0716411i
\(557\) 25.6419 + 34.2535i 1.08648 + 1.45137i 0.881247 + 0.472657i \(0.156705\pi\)
0.205235 + 0.978713i \(0.434204\pi\)
\(558\) 0.0557824 0.256427i 0.00236146 0.0108554i
\(559\) −5.43496 11.9009i −0.229874 0.503355i
\(560\) 0.545448 + 0.0600443i 0.0230494 + 0.00253734i
\(561\) 8.92423 + 62.0694i 0.376781 + 2.62057i
\(562\) 4.49059 + 12.0397i 0.189424 + 0.507865i
\(563\) 11.7008 + 6.38914i 0.493131 + 0.269270i 0.706515 0.707699i \(-0.250267\pi\)
−0.213383 + 0.976969i \(0.568448\pi\)
\(564\) 1.06148 + 3.61508i 0.0446965 + 0.152222i
\(565\) −18.8926 + 6.23477i −0.794818 + 0.262299i
\(566\) −23.1567 + 3.32943i −0.973347 + 0.139946i
\(567\) −2.25684 0.161412i −0.0947783 0.00677868i
\(568\) 4.50396 + 1.67989i 0.188982 + 0.0704867i
\(569\) 26.9126 17.2957i 1.12823 0.725073i 0.163044 0.986619i \(-0.447869\pi\)
0.965191 + 0.261546i \(0.0842324\pi\)
\(570\) 5.40148 29.5090i 0.226243 1.23600i
\(571\) 6.23180 9.69688i 0.260793 0.405802i −0.686022 0.727581i \(-0.740645\pi\)
0.946815 + 0.321779i \(0.104281\pi\)
\(572\) −0.537828 7.51982i −0.0224877 0.314420i
\(573\) 8.87511 + 16.2536i 0.370763 + 0.679002i
\(574\) 0.397053 0.0165727
\(575\) −23.7460 + 3.33569i −0.990277 + 0.139108i
\(576\) −0.0751727 −0.00313220
\(577\) 4.50002 + 8.24117i 0.187338 + 0.343084i 0.954421 0.298464i \(-0.0964743\pi\)
−0.767083 + 0.641548i \(0.778292\pi\)
\(578\) −2.06312 28.8462i −0.0858144 1.19984i
\(579\) −18.8271 + 29.2955i −0.782427 + 1.21748i
\(580\) −2.70082 + 14.7549i −0.112146 + 0.612665i
\(581\) 2.59657 1.66871i 0.107724 0.0692299i
\(582\) 1.74539 + 0.650998i 0.0723489 + 0.0269848i
\(583\) 4.28489 + 0.306461i 0.177462 + 0.0126923i
\(584\) 9.13977 1.31410i 0.378206 0.0543779i
\(585\) −0.228049 + 0.0752587i −0.00942866 + 0.00311156i
\(586\) −6.39883 21.7924i −0.264333 0.900236i
\(587\) −21.8718 11.9429i −0.902747 0.492937i −0.0403590 0.999185i \(-0.512850\pi\)
−0.862388 + 0.506248i \(0.831032\pi\)
\(588\) 4.25288 + 11.4024i 0.175386 + 0.470227i
\(589\) 3.80089 + 26.4358i 0.156613 + 1.08927i
\(590\) 8.01078 + 0.881848i 0.329799 + 0.0363051i
\(591\) −8.03661 17.5977i −0.330582 0.723873i
\(592\) 0.449306 2.06543i 0.0184664 0.0848885i
\(593\) −11.4169 15.2511i −0.468835 0.626290i 0.502337 0.864672i \(-0.332474\pi\)
−0.971171 + 0.238382i \(0.923383\pi\)
\(594\) 22.7692 + 14.6329i 0.934231 + 0.600394i
\(595\) −2.71511 2.54077i −0.111309 0.104161i
\(596\) 5.05494 17.2155i 0.207058 0.705176i
\(597\) 28.0138 28.0138i 1.14653 1.14653i
\(598\) 1.44407 6.69772i 0.0590525 0.273890i
\(599\) 36.5774i 1.49451i 0.664537 + 0.747255i \(0.268629\pi\)
−0.664537 + 0.747255i \(0.731371\pi\)
\(600\) −3.10585 + 8.19957i −0.126796 + 0.334746i
\(601\) −13.3739 + 15.4343i −0.545533 + 0.629578i −0.959836 0.280560i \(-0.909480\pi\)
0.414304 + 0.910139i \(0.364025\pi\)
\(602\) 0.477705 + 2.19598i 0.0194698 + 0.0895013i
\(603\) −0.687106 + 0.514361i −0.0279811 + 0.0209464i
\(604\) 6.85484 + 10.6663i 0.278920 + 0.434007i
\(605\) −14.3272 34.8390i −0.582483 1.41641i
\(606\) 5.90479 + 6.81449i 0.239866 + 0.276820i
\(607\) −15.4852 + 20.6858i −0.628524 + 0.839610i −0.995900 0.0904630i \(-0.971165\pi\)
0.367376 + 0.930073i \(0.380256\pi\)
\(608\) 7.16815 2.67358i 0.290707 0.108428i
\(609\) 2.76993 0.813325i 0.112243 0.0329576i
\(610\) −9.85303 + 16.5106i −0.398938 + 0.668496i
\(611\) −1.27513 + 2.79214i −0.0515862 + 0.112958i
\(612\) 0.407797 + 0.305273i 0.0164842 + 0.0123399i
\(613\) −2.45352 + 34.3046i −0.0990966 + 1.38555i 0.668067 + 0.744101i \(0.267122\pi\)
−0.767164 + 0.641451i \(0.778333\pi\)
\(614\) −6.28439 + 2.86998i −0.253617 + 0.115823i
\(615\) −1.58461 + 6.14323i −0.0638975 + 0.247719i
\(616\) −0.184297 + 1.28182i −0.00742555 + 0.0516459i
\(617\) −18.3288 + 3.98720i −0.737892 + 0.160518i −0.565777 0.824558i \(-0.691424\pi\)
−0.172115 + 0.985077i \(0.555060\pi\)
\(618\) 19.5358 1.39723i 0.785846 0.0562048i
\(619\) −20.8633 6.12601i −0.838566 0.246225i −0.165873 0.986147i \(-0.553044\pi\)
−0.672693 + 0.739922i \(0.734862\pi\)
\(620\) 0.298440 7.80031i 0.0119856 0.313268i
\(621\) 16.1425 + 18.5602i 0.647775 + 0.744793i
\(622\) 2.77029 + 2.77029i 0.111079 + 0.111079i
\(623\) −2.47280 + 1.35025i −0.0990708 + 0.0540968i
\(624\) −1.89340 1.64064i −0.0757967 0.0656782i
\(625\) 18.7263 + 16.5627i 0.749053 + 0.662510i
\(626\) −22.8886 3.29088i −0.914811 0.131530i
\(627\) 69.1785 + 15.0489i 2.76272 + 0.600994i
\(628\) −0.497086 + 1.33274i −0.0198359 + 0.0531821i
\(629\) −10.8250 + 9.37992i −0.431621 + 0.374002i
\(630\) 0.0410252 0.00430522i 0.00163448 0.000171524i
\(631\) 37.4889 + 17.1206i 1.49241 + 0.681561i 0.983773 0.179420i \(-0.0574222\pi\)
0.508637 + 0.860981i \(0.330149\pi\)
\(632\) 1.42732 2.61394i 0.0567756 0.103977i
\(633\) 5.08445 9.31147i 0.202089 0.370098i
\(634\) −11.1952 5.11268i −0.444619 0.203051i
\(635\) 13.7515 16.9760i 0.545710 0.673673i
\(636\) 1.07888 0.934858i 0.0427805 0.0370695i
\(637\) −3.46480 + 9.28949i −0.137280 + 0.368063i
\(638\) −34.5903 7.52466i −1.36944 0.297904i
\(639\) 0.357681 + 0.0514268i 0.0141496 + 0.00203441i
\(640\) −2.20154 + 0.391427i −0.0870236 + 0.0154725i
\(641\) 19.5616 + 16.9502i 0.772637 + 0.669494i 0.949157 0.314803i \(-0.101939\pi\)
−0.176520 + 0.984297i \(0.556484\pi\)
\(642\) 8.81875 4.81540i 0.348048 0.190049i
\(643\) 15.0909 + 15.0909i 0.595128 + 0.595128i 0.939012 0.343884i \(-0.111743\pi\)
−0.343884 + 0.939012i \(0.611743\pi\)
\(644\) −0.486936 + 1.07147i −0.0191880 + 0.0422216i
\(645\) −35.8828 1.37288i −1.41288 0.0540570i
\(646\) −49.7431 14.6059i −1.95712 0.574662i
\(647\) 42.0227 3.00553i 1.65208 0.118159i 0.786056 0.618155i \(-0.212120\pi\)
0.866028 + 0.499996i \(0.166665\pi\)
\(648\) 9.00916 1.95982i 0.353913 0.0769891i
\(649\) −2.70671 + 18.8256i −0.106247 + 0.738968i
\(650\) −6.28686 + 3.39152i −0.246591 + 0.133026i
\(651\) −1.36656 + 0.624087i −0.0535597 + 0.0244599i
\(652\) −0.445803 + 6.23314i −0.0174590 + 0.244109i
\(653\) −22.6412 16.9490i −0.886017 0.663264i 0.0561445 0.998423i \(-0.482119\pi\)
−0.942162 + 0.335158i \(0.891210\pi\)
\(654\) −10.9738 + 24.0292i −0.429108 + 0.939616i
\(655\) 2.64485 0.667902i 0.103343 0.0260971i
\(656\) −1.55241 + 0.455828i −0.0606114 + 0.0177971i
\(657\) 0.650362 0.242572i 0.0253730 0.00946365i
\(658\) 0.315975 0.422094i 0.0123180 0.0164549i
\(659\) −3.33931 3.85376i −0.130081 0.150121i 0.686972 0.726684i \(-0.258939\pi\)
−0.817053 + 0.576562i \(0.804394\pi\)
\(660\) −19.0969 7.96710i −0.743344 0.310119i
\(661\) −22.8140 35.4993i −0.887361 1.38076i −0.924391 0.381447i \(-0.875426\pi\)
0.0370294 0.999314i \(-0.488210\pi\)
\(662\) −10.2343 + 7.66133i −0.397769 + 0.297766i
\(663\) 3.60876 + 16.5892i 0.140152 + 0.644270i
\(664\) −8.23641 + 9.50533i −0.319635 + 0.368878i
\(665\) −3.75887 + 1.86962i −0.145763 + 0.0725009i
\(666\) 0.158895i 0.00615705i
\(667\) −28.2647 15.3661i −1.09441 0.594979i
\(668\) 12.6155 12.6155i 0.488107 0.488107i
\(669\) 4.59323 15.6431i 0.177585 0.604798i
\(670\) −17.4446 + 18.6416i −0.673944 + 0.720188i
\(671\) −38.1718 24.5315i −1.47361 0.947029i
\(672\) 0.257897 + 0.344510i 0.00994860 + 0.0132898i
\(673\) 10.3155 47.4198i 0.397635 1.82790i −0.146887 0.989153i \(-0.546926\pi\)
0.544523 0.838746i \(-0.316711\pi\)
\(674\) 0.142913 + 0.312935i 0.00550480 + 0.0120538i
\(675\) 3.77866 25.3652i 0.145441 0.976308i
\(676\) 1.55962 + 10.8474i 0.0599853 + 0.417207i
\(677\) −12.1137 32.4782i −0.465569 1.24824i −0.931605 0.363473i \(-0.881591\pi\)
0.466036 0.884766i \(-0.345682\pi\)
\(678\) −13.6938 7.47740i −0.525908 0.287168i
\(679\) −0.0734451 0.250131i −0.00281857 0.00959915i
\(680\) 13.5325 + 6.81695i 0.518948 + 0.261418i
\(681\) −40.9787 + 5.89185i −1.57031 + 0.225776i
\(682\) 18.3748 + 1.31419i 0.703606 + 0.0503229i
\(683\) 11.0629 + 4.12626i 0.423311 + 0.157887i 0.552086 0.833787i \(-0.313832\pi\)
−0.128775 + 0.991674i \(0.541105\pi\)
\(684\) 0.483814 0.310928i 0.0184991 0.0118886i
\(685\) −17.3369 25.1058i −0.662408 0.959244i
\(686\) 1.84947 2.87784i 0.0706132 0.109876i
\(687\) 1.91774 + 26.8135i 0.0731663 + 1.02300i
\(688\) −4.38880 8.03748i −0.167321 0.306426i
\(689\) 1.16303 0.0443080
\(690\) −14.6345 11.8100i −0.557125 0.449601i
\(691\) 18.6848 0.710804 0.355402 0.934714i \(-0.384344\pi\)
0.355402 + 0.934714i \(0.384344\pi\)
\(692\) 0.608696 + 1.11474i 0.0231391 + 0.0423762i
\(693\) 0.00694477 + 0.0971005i 0.000263810 + 0.00368854i
\(694\) 3.05280 4.75025i 0.115883 0.180317i
\(695\) −6.87257 1.25799i −0.260691 0.0477183i
\(696\) −9.89624 + 6.35993i −0.375116 + 0.241073i
\(697\) 10.2726 + 3.83149i 0.389103 + 0.145128i
\(698\) −11.9446 0.854293i −0.452109 0.0323355i
\(699\) −2.30001 + 0.330692i −0.0869944 + 0.0125079i
\(700\) 1.17906 0.339704i 0.0445644 0.0128396i
\(701\) −8.64456 29.4407i −0.326500 1.11196i −0.945244 0.326365i \(-0.894176\pi\)
0.618743 0.785593i \(-0.287642\pi\)
\(702\) 6.43133 + 3.51177i 0.242735 + 0.132543i
\(703\) 5.65124 + 15.1516i 0.213140 + 0.571452i
\(704\) −0.750993 5.22327i −0.0283041 0.196859i
\(705\) 5.26963 + 6.57334i 0.198466 + 0.247566i
\(706\) −2.12391 4.65071i −0.0799344 0.175032i
\(707\) 0.268223 1.23300i 0.0100876 0.0463718i
\(708\) 3.78764 + 5.05969i 0.142348 + 0.190155i
\(709\) 5.29105 + 3.40035i 0.198709 + 0.127703i 0.636212 0.771514i \(-0.280500\pi\)
−0.437502 + 0.899217i \(0.644137\pi\)
\(710\) 10.7430 0.356351i 0.403177 0.0133736i
\(711\) 0.0630749 0.214813i 0.00236549 0.00805613i
\(712\) 8.11812 8.11812i 0.304239 0.304239i
\(713\) 15.6972 + 5.82181i 0.587865 + 0.218028i
\(714\) 2.91621i 0.109136i
\(715\) −7.50750 15.0938i −0.280765 0.564476i
\(716\) −4.66848 + 5.38771i −0.174469 + 0.201348i
\(717\) 6.01467 + 27.6490i 0.224622 + 1.03257i
\(718\) −25.4605 + 19.0595i −0.950176 + 0.711293i
\(719\) −12.6406 19.6691i −0.471414 0.733534i 0.521386 0.853321i \(-0.325415\pi\)
−0.992800 + 0.119787i \(0.961779\pi\)
\(720\) −0.155459 + 0.0639309i −0.00579362 + 0.00238256i
\(721\) −1.79489 2.07141i −0.0668451 0.0771434i
\(722\) −23.6897 + 31.6458i −0.881641 + 1.17773i
\(723\) −39.8507 + 14.8636i −1.48207 + 0.552782i
\(724\) 12.5839 3.69495i 0.467675 0.137322i
\(725\) 6.96301 + 32.8105i 0.258600 + 1.21855i
\(726\) 12.2723 26.8727i 0.455469 0.997338i
\(727\) −13.5322 10.1300i −0.501880 0.375703i 0.318134 0.948046i \(-0.396944\pi\)
−0.820014 + 0.572343i \(0.806035\pi\)
\(728\) −0.0250116 + 0.349708i −0.000926992 + 0.0129610i
\(729\) −23.9142 + 10.9212i −0.885711 + 0.404491i
\(730\) 17.7837 10.4905i 0.658204 0.388272i
\(731\) −8.83150 + 61.4245i −0.326645 + 2.27187i
\(732\) −14.7341 + 3.20521i −0.544589 + 0.118468i
\(733\) 9.40925 0.672963i 0.347539 0.0248565i 0.103521 0.994627i \(-0.466989\pi\)
0.244018 + 0.969771i \(0.421535\pi\)
\(734\) −12.1155 3.55742i −0.447190 0.131307i
\(735\) 18.4923 + 19.9636i 0.682098 + 0.736368i
\(736\) 0.673764 4.74827i 0.0248353 0.175023i
\(737\) −42.6040 42.6040i −1.56934 1.56934i
\(738\) −0.106748 + 0.0582889i −0.00392945 + 0.00214564i
\(739\) −16.4020 14.2125i −0.603359 0.522814i 0.298745 0.954333i \(-0.403432\pi\)
−0.902104 + 0.431519i \(0.857978\pi\)
\(740\) −0.827372 4.65347i −0.0304148 0.171065i
\(741\) 18.9720 + 2.72776i 0.696953 + 0.100207i
\(742\) −0.195212 0.0424657i −0.00716644 0.00155896i
\(743\) −6.56448 + 17.6001i −0.240828 + 0.645684i −0.999986 0.00522181i \(-0.998338\pi\)
0.759159 + 0.650905i \(0.225611\pi\)
\(744\) 4.62655 4.00893i 0.169617 0.146974i
\(745\) −4.18727 39.9012i −0.153410 1.46187i
\(746\) −10.2719 4.69100i −0.376080 0.171750i
\(747\) −0.453117 + 0.829823i −0.0165787 + 0.0303616i
\(748\) −17.1375 + 31.3850i −0.626608 + 1.14755i
\(749\) −1.27904 0.584120i −0.0467353 0.0213433i
\(750\) 0.550376 + 19.5983i 0.0200969 + 0.715629i
\(751\) 18.7681 16.2626i 0.684856 0.593431i −0.241355 0.970437i \(-0.577592\pi\)
0.926211 + 0.377006i \(0.123046\pi\)
\(752\) −0.750834 + 2.01306i −0.0273801 + 0.0734089i
\(753\) 2.84115 + 0.618053i 0.103537 + 0.0225231i
\(754\) −9.48628 1.36392i −0.345470 0.0496711i
\(755\) 23.2472 + 16.2286i 0.846053 + 0.590617i
\(756\) −0.951254 0.824266i −0.0345968 0.0299783i
\(757\) −0.640114 + 0.349529i −0.0232653 + 0.0127038i −0.490840 0.871250i \(-0.663310\pi\)
0.467574 + 0.883954i \(0.345128\pi\)
\(758\) −2.79826 2.79826i −0.101637 0.101637i
\(759\) 29.0006 33.5935i 1.05266 1.21937i
\(760\) 12.5502 11.6252i 0.455242 0.421691i
\(761\) 20.8222 + 6.11395i 0.754804 + 0.221630i 0.636426 0.771338i \(-0.280412\pi\)
0.118378 + 0.992969i \(0.462230\pi\)
\(762\) 17.0896 1.22227i 0.619091 0.0442783i
\(763\) 3.61229 0.785805i 0.130774 0.0284480i
\(764\) −1.50289 + 10.4528i −0.0543728 + 0.378171i
\(765\) 1.10296 + 0.284500i 0.0398775 + 0.0102861i
\(766\) 16.5459 7.55627i 0.597828 0.273019i
\(767\) −0.367336 + 5.13603i −0.0132637 + 0.185451i
\(768\) −1.40384 1.05090i −0.0506568 0.0379212i
\(769\) −19.3162 + 42.2965i −0.696559 + 1.52525i 0.147536 + 0.989057i \(0.452866\pi\)
−0.844095 + 0.536194i \(0.819861\pi\)
\(770\) 0.708993 + 2.80757i 0.0255503 + 0.101178i
\(771\) 21.1156 6.20010i 0.760460 0.223291i