Properties

Label 503.2.c.a.2.1
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.1
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.73497 - 2.13612i) q^{2} +(-2.22490 + 1.92567i) q^{3} +(-1.14279 + 5.45470i) q^{4} +(-0.109819 - 0.346829i) q^{5} +(7.97361 + 1.41168i) q^{6} +(0.0493067 - 0.143165i) q^{7} +(8.74162 - 4.50242i) q^{8} +(0.811649 - 5.59990i) q^{9} +O(q^{10})\) \(q+(-1.73497 - 2.13612i) q^{2} +(-2.22490 + 1.92567i) q^{3} +(-1.14279 + 5.45470i) q^{4} +(-0.109819 - 0.346829i) q^{5} +(7.97361 + 1.41168i) q^{6} +(0.0493067 - 0.143165i) q^{7} +(8.74162 - 4.50242i) q^{8} +(0.811649 - 5.59990i) q^{9} +(-0.550336 + 0.836323i) q^{10} +(1.68012 - 0.543580i) q^{11} +(-7.96137 - 14.3368i) q^{12} +(-2.62412 + 0.885431i) q^{13} +(-0.391362 + 0.143061i) q^{14} +(0.912216 + 0.560185i) q^{15} +(-14.5752 - 6.38756i) q^{16} +(5.46583 + 2.72920i) q^{17} +(-13.3703 + 7.98187i) q^{18} +(-2.26086 - 5.07229i) q^{19} +(2.01735 - 0.202676i) q^{20} +(0.165986 + 0.413476i) q^{21} +(-4.07610 - 2.64584i) q^{22} +(-1.33119 + 4.60132i) q^{23} +(-10.7791 + 26.8510i) q^{24} +(3.98054 - 2.80166i) q^{25} +(6.44415 + 4.06925i) q^{26} +(4.21789 + 6.58787i) q^{27} +(0.724573 + 0.432560i) q^{28} +(0.144066 - 1.20589i) q^{29} +(-0.386041 - 2.92051i) q^{30} +(0.542581 + 6.65449i) q^{31} +(6.41445 + 23.2584i) q^{32} +(-2.69134 + 4.44477i) q^{33} +(-3.65314 - 16.4107i) q^{34} +(-0.0550684 - 0.00137879i) q^{35} +(29.6182 + 10.8268i) q^{36} +(0.711777 + 0.899117i) q^{37} +(-6.91249 + 13.6297i) q^{38} +(4.13336 - 7.02320i) q^{39} +(-2.52156 - 2.53739i) q^{40} +(0.0863497 - 0.439497i) q^{41} +(0.595255 - 1.07193i) q^{42} +(-1.45813 + 7.94595i) q^{43} +(1.04504 + 9.78574i) q^{44} +(-2.03134 + 0.333472i) q^{45} +(12.1385 - 5.13956i) q^{46} +(-9.09446 + 0.341648i) q^{47} +(44.7288 - 13.8554i) q^{48} +(5.49741 + 4.29628i) q^{49} +(-12.8908 - 3.64211i) q^{50} +(-17.4165 + 4.45321i) q^{51} +(-1.83093 - 15.3256i) q^{52} +(-4.44608 + 9.97486i) q^{53} +(6.75457 - 20.4397i) q^{54} +(-0.373038 - 0.523018i) q^{55} +(-0.213567 - 1.47349i) q^{56} +(14.7978 + 6.93166i) q^{57} +(-2.82588 + 1.78444i) q^{58} +(2.42963 - 5.83978i) q^{59} +(-4.09811 + 4.33569i) q^{60} +(-4.39286 - 7.25484i) q^{61} +(13.2734 - 12.7043i) q^{62} +(-0.761688 - 0.392312i) q^{63} +(20.0729 - 28.1432i) q^{64} +(0.595271 + 0.812883i) q^{65} +(14.1640 - 1.96250i) q^{66} +(-8.11150 + 4.98121i) q^{67} +(-21.1332 + 26.6955i) q^{68} +(-5.89888 - 12.8009i) q^{69} +(0.0925966 + 0.120025i) q^{70} +(1.85217 + 11.7417i) q^{71} +(-18.1180 - 52.6066i) q^{72} +(-11.2282 - 10.7468i) q^{73} +(0.685714 - 3.08038i) q^{74} +(-3.46122 + 13.8987i) q^{75} +(30.2515 - 6.53576i) q^{76} +(0.00501967 - 0.267336i) q^{77} +(-22.1737 + 3.35566i) q^{78} +(0.706853 + 12.5366i) q^{79} +(-0.614756 + 5.75658i) q^{80} +(-5.79378 - 1.71554i) q^{81} +(-1.08863 + 0.578060i) q^{82} +(2.12940 + 4.07150i) q^{83} +(-2.44507 + 0.432886i) q^{84} +(0.346313 - 2.19542i) q^{85} +(19.5033 - 10.6712i) q^{86} +(2.00162 + 2.96042i) q^{87} +(12.2395 - 12.3164i) q^{88} +(2.51559 + 9.58805i) q^{89} +(4.23665 + 3.76063i) q^{90} +(-0.00262432 + 0.419339i) q^{91} +(-23.5775 - 12.5196i) q^{92} +(-14.0216 - 13.7608i) q^{93} +(16.5084 + 18.8341i) q^{94} +(-1.51093 + 1.34117i) q^{95} +(-59.0597 - 39.3956i) q^{96} +(2.76142 + 11.7118i) q^{97} +(-0.360456 - 19.1970i) q^{98} +(-1.68033 - 9.84969i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.73497 2.13612i −1.22681 1.51047i −0.792709 0.609600i \(-0.791330\pi\)
−0.434098 0.900866i \(-0.642933\pi\)
\(3\) −2.22490 + 1.92567i −1.28455 + 1.11179i −0.296932 + 0.954898i \(0.595964\pi\)
−0.987616 + 0.156890i \(0.949853\pi\)
\(4\) −1.14279 + 5.45470i −0.571396 + 2.72735i
\(5\) −0.109819 0.346829i −0.0491125 0.155107i 0.925634 0.378419i \(-0.123532\pi\)
−0.974747 + 0.223312i \(0.928313\pi\)
\(6\) 7.97361 + 1.41168i 3.25521 + 0.576316i
\(7\) 0.0493067 0.143165i 0.0186362 0.0541112i −0.935791 0.352556i \(-0.885313\pi\)
0.954427 + 0.298445i \(0.0964679\pi\)
\(8\) 8.74162 4.50242i 3.09063 1.59185i
\(9\) 0.811649 5.59990i 0.270550 1.86663i
\(10\) −0.550336 + 0.836323i −0.174031 + 0.264469i
\(11\) 1.68012 0.543580i 0.506575 0.163895i −0.0434308 0.999056i \(-0.513829\pi\)
0.550006 + 0.835161i \(0.314626\pi\)
\(12\) −7.96137 14.3368i −2.29825 4.13868i
\(13\) −2.62412 + 0.885431i −0.727800 + 0.245574i −0.659092 0.752063i \(-0.729059\pi\)
−0.0687084 + 0.997637i \(0.521888\pi\)
\(14\) −0.391362 + 0.143061i −0.104596 + 0.0382347i
\(15\) 0.912216 + 0.560185i 0.235533 + 0.144639i
\(16\) −14.5752 6.38756i −3.64381 1.59689i
\(17\) 5.46583 + 2.72920i 1.32566 + 0.661927i 0.962875 0.269947i \(-0.0870061\pi\)
0.362782 + 0.931874i \(0.381827\pi\)
\(18\) −13.3703 + 7.98187i −3.15140 + 1.88134i
\(19\) −2.26086 5.07229i −0.518678 1.16366i −0.963418 0.268003i \(-0.913636\pi\)
0.444740 0.895660i \(-0.353296\pi\)
\(20\) 2.01735 0.202676i 0.451092 0.0453196i
\(21\) 0.165986 + 0.413476i 0.0362211 + 0.0902279i
\(22\) −4.07610 2.64584i −0.869028 0.564096i
\(23\) −1.33119 + 4.60132i −0.277572 + 0.959441i 0.693461 + 0.720494i \(0.256085\pi\)
−0.971033 + 0.238947i \(0.923198\pi\)
\(24\) −10.7791 + 26.8510i −2.20027 + 5.48093i
\(25\) 3.98054 2.80166i 0.796108 0.560333i
\(26\) 6.44415 + 4.06925i 1.26380 + 0.798045i
\(27\) 4.21789 + 6.58787i 0.811734 + 1.26784i
\(28\) 0.724573 + 0.432560i 0.136931 + 0.0817462i
\(29\) 0.144066 1.20589i 0.0267524 0.223929i −0.973230 0.229833i \(-0.926182\pi\)
0.999983 + 0.00590396i \(0.00187930\pi\)
\(30\) −0.386041 2.92051i −0.0704812 0.533209i
\(31\) 0.542581 + 6.65449i 0.0974504 + 1.19518i 0.846397 + 0.532552i \(0.178767\pi\)
−0.748947 + 0.662630i \(0.769440\pi\)
\(32\) 6.41445 + 23.2584i 1.13392 + 4.11155i
\(33\) −2.69134 + 4.44477i −0.468503 + 0.773736i
\(34\) −3.65314 16.4107i −0.626508 2.81442i
\(35\) −0.0550684 0.00137879i −0.00930826 0.000233059i
\(36\) 29.6182 + 10.8268i 4.93637 + 1.80447i
\(37\) 0.711777 + 0.899117i 0.117015 + 0.147814i 0.839073 0.544019i \(-0.183098\pi\)
−0.722057 + 0.691833i \(0.756803\pi\)
\(38\) −6.91249 + 13.6297i −1.12135 + 2.21103i
\(39\) 4.13336 7.02320i 0.661868 1.12461i
\(40\) −2.52156 2.53739i −0.398694 0.401197i
\(41\) 0.0863497 0.439497i 0.0134856 0.0686380i −0.973897 0.226989i \(-0.927112\pi\)
0.987383 + 0.158351i \(0.0506178\pi\)
\(42\) 0.595255 1.07193i 0.0918498 0.165403i
\(43\) −1.45813 + 7.94595i −0.222362 + 1.21175i 0.663635 + 0.748056i \(0.269013\pi\)
−0.885998 + 0.463690i \(0.846525\pi\)
\(44\) 1.04504 + 9.78574i 0.157545 + 1.47526i
\(45\) −2.03134 + 0.333472i −0.302815 + 0.0497110i
\(46\) 12.1385 5.13956i 1.78973 0.757786i
\(47\) −9.09446 + 0.341648i −1.32656 + 0.0498344i −0.691360 0.722511i \(-0.742988\pi\)
−0.635203 + 0.772345i \(0.719084\pi\)
\(48\) 44.7288 13.8554i 6.45605 1.99986i
\(49\) 5.49741 + 4.29628i 0.785344 + 0.613754i
\(50\) −12.8908 3.64211i −1.82303 0.515073i
\(51\) −17.4165 + 4.45321i −2.43879 + 0.623574i
\(52\) −1.83093 15.3256i −0.253905 2.12529i
\(53\) −4.44608 + 9.97486i −0.610716 + 1.37015i 0.298733 + 0.954337i \(0.403436\pi\)
−0.909449 + 0.415815i \(0.863496\pi\)
\(54\) 6.75457 20.4397i 0.919180 2.78149i
\(55\) −0.373038 0.523018i −0.0503004 0.0705237i
\(56\) −0.213567 1.47349i −0.0285391 0.196903i
\(57\) 14.7978 + 6.93166i 1.96001 + 0.918121i
\(58\) −2.82588 + 1.78444i −0.371057 + 0.234309i
\(59\) 2.42963 5.83978i 0.316310 0.760274i −0.683237 0.730197i \(-0.739428\pi\)
0.999548 0.0300778i \(-0.00957550\pi\)
\(60\) −4.09811 + 4.33569i −0.529064 + 0.559735i
\(61\) −4.39286 7.25484i −0.562448 0.928888i −0.999565 0.0294829i \(-0.990614\pi\)
0.437117 0.899405i \(-0.356000\pi\)
\(62\) 13.2734 12.7043i 1.68573 1.61345i
\(63\) −0.761688 0.392312i −0.0959637 0.0494267i
\(64\) 20.0729 28.1432i 2.50911 3.51791i
\(65\) 0.595271 + 0.812883i 0.0738342 + 0.100826i
\(66\) 14.1640 1.96250i 1.74346 0.241567i
\(67\) −8.11150 + 4.98121i −0.990977 + 0.608552i −0.921232 0.389013i \(-0.872816\pi\)
−0.0697448 + 0.997565i \(0.522218\pi\)
\(68\) −21.1332 + 26.6955i −2.56278 + 3.23731i
\(69\) −5.89888 12.8009i −0.710141 1.54105i
\(70\) 0.0925966 + 0.120025i 0.0110674 + 0.0143457i
\(71\) 1.85217 + 11.7417i 0.219812 + 1.39348i 0.810101 + 0.586290i \(0.199412\pi\)
−0.590289 + 0.807192i \(0.700986\pi\)
\(72\) −18.1180 52.6066i −2.13523 6.19975i
\(73\) −11.2282 10.7468i −1.31416 1.25782i −0.944445 0.328670i \(-0.893400\pi\)
−0.369714 0.929145i \(-0.620544\pi\)
\(74\) 0.685714 3.08038i 0.0797126 0.358087i
\(75\) −3.46122 + 13.8987i −0.399667 + 1.60488i
\(76\) 30.2515 6.53576i 3.47008 0.749703i
\(77\) 0.00501967 0.267336i 0.000572045 0.0304657i
\(78\) −22.1737 + 3.35566i −2.51067 + 0.379953i
\(79\) 0.706853 + 12.5366i 0.0795272 + 1.41048i 0.746493 + 0.665393i \(0.231736\pi\)
−0.666966 + 0.745088i \(0.732407\pi\)
\(80\) −0.614756 + 5.75658i −0.0687318 + 0.643605i
\(81\) −5.79378 1.71554i −0.643754 0.190615i
\(82\) −1.08863 + 0.578060i −0.120219 + 0.0638361i
\(83\) 2.12940 + 4.07150i 0.233732 + 0.446906i 0.974355 0.225014i \(-0.0722429\pi\)
−0.740624 + 0.671920i \(0.765470\pi\)
\(84\) −2.44507 + 0.432886i −0.266780 + 0.0472317i
\(85\) 0.346313 2.19542i 0.0375629 0.238127i
\(86\) 19.5033 10.6712i 2.10310 1.15071i
\(87\) 2.00162 + 2.96042i 0.214597 + 0.317390i
\(88\) 12.2395 12.3164i 1.30474 1.31293i
\(89\) 2.51559 + 9.58805i 0.266652 + 1.01633i 0.956348 + 0.292231i \(0.0943978\pi\)
−0.689696 + 0.724099i \(0.742256\pi\)
\(90\) 4.23665 + 3.76063i 0.446582 + 0.396405i
\(91\) −0.00262432 + 0.419339i −0.000275104 + 0.0439587i
\(92\) −23.5775 12.5196i −2.45813 1.30526i
\(93\) −14.0216 13.7608i −1.45397 1.42693i
\(94\) 16.5084 + 18.8341i 1.70271 + 1.94259i
\(95\) −1.51093 + 1.34117i −0.155018 + 0.137601i
\(96\) −59.0597 39.3956i −6.02776 4.02080i
\(97\) 2.76142 + 11.7118i 0.280379 + 1.18915i 0.910783 + 0.412886i \(0.135479\pi\)
−0.630404 + 0.776268i \(0.717111\pi\)
\(98\) −0.360456 19.1970i −0.0364116 1.93919i
\(99\) −1.68033 9.84969i −0.168879 0.989932i
\(100\) 10.7333 + 24.9144i 1.07333 + 2.49144i
\(101\) 9.75597 3.84572i 0.970755 0.382664i 0.172518 0.985006i \(-0.444810\pi\)
0.798238 + 0.602343i \(0.205766\pi\)
\(102\) 39.7296 + 29.4775i 3.93382 + 2.91871i
\(103\) −9.30458 + 1.88866i −0.916807 + 0.186095i −0.634225 0.773148i \(-0.718681\pi\)
−0.282582 + 0.959243i \(0.591191\pi\)
\(104\) −18.9525 + 19.5550i −1.85844 + 1.91752i
\(105\) 0.125177 0.102976i 0.0122160 0.0100494i
\(106\) 29.0213 7.80869i 2.81880 0.758447i
\(107\) 11.6999 + 0.439526i 1.13107 + 0.0424906i 0.596487 0.802623i \(-0.296563\pi\)
0.534587 + 0.845114i \(0.320467\pi\)
\(108\) −40.7550 + 15.4788i −3.92165 + 1.48945i
\(109\) −6.48380 6.85968i −0.621036 0.657038i 0.337728 0.941244i \(-0.390342\pi\)
−0.958763 + 0.284206i \(0.908270\pi\)
\(110\) −0.470021 + 1.70427i −0.0448148 + 0.162496i
\(111\) −3.31504 0.629798i −0.314650 0.0597778i
\(112\) −1.63313 + 1.77171i −0.154316 + 0.167411i
\(113\) 7.85193 + 15.9746i 0.738647 + 1.50276i 0.860077 + 0.510165i \(0.170416\pi\)
−0.121429 + 0.992600i \(0.538748\pi\)
\(114\) −10.8668 43.6360i −1.01777 4.08689i
\(115\) 1.74206 0.0436174i 0.162448 0.00406734i
\(116\) 6.41315 + 2.16392i 0.595446 + 0.200915i
\(117\) 2.82846 + 15.4135i 0.261491 + 1.42498i
\(118\) −16.6898 + 4.94185i −1.53642 + 0.454934i
\(119\) 0.660226 0.647946i 0.0605228 0.0593971i
\(120\) 10.4964 + 0.789744i 0.958188 + 0.0720934i
\(121\) −6.38803 + 4.61678i −0.580730 + 0.419708i
\(122\) −7.87575 + 21.9706i −0.713037 + 1.98912i
\(123\) 0.654209 + 1.14412i 0.0589881 + 0.103162i
\(124\) −36.9183 4.64509i −3.31536 0.417141i
\(125\) −2.85598 2.17495i −0.255446 0.194533i
\(126\) 0.483479 + 2.30771i 0.0430717 + 0.205587i
\(127\) −8.51706 + 4.79959i −0.755767 + 0.425894i −0.820236 0.572025i \(-0.806158\pi\)
0.0644688 + 0.997920i \(0.479465\pi\)
\(128\) −46.7841 + 2.93165i −4.13517 + 0.259124i
\(129\) −12.0571 20.4868i −1.06157 1.80377i
\(130\) 0.703642 2.68190i 0.0617135 0.235218i
\(131\) 3.59308 2.39675i 0.313928 0.209405i −0.387988 0.921664i \(-0.626830\pi\)
0.701917 + 0.712259i \(0.252328\pi\)
\(132\) −21.1692 19.7599i −1.84255 1.71988i
\(133\) −0.837648 + 0.0735782i −0.0726333 + 0.00638004i
\(134\) 24.7136 + 8.68490i 2.13493 + 0.750261i
\(135\) 1.82166 2.18636i 0.156783 0.188172i
\(136\) 60.0681 0.751871i 5.15080 0.0644724i
\(137\) −5.89722 15.2391i −0.503834 1.30197i −0.919729 0.392555i \(-0.871591\pi\)
0.415895 0.909413i \(-0.363468\pi\)
\(138\) −17.1100 + 34.8099i −1.45650 + 2.96321i
\(139\) −9.18911 1.98528i −0.779410 0.168390i −0.196040 0.980596i \(-0.562808\pi\)
−0.583370 + 0.812206i \(0.698266\pi\)
\(140\) 0.0704527 0.298806i 0.00595434 0.0252537i
\(141\) 19.5764 18.2731i 1.64863 1.53887i
\(142\) 21.8682 24.3279i 1.83514 2.04155i
\(143\) −3.92753 + 2.91405i −0.328437 + 0.243685i
\(144\) −47.5997 + 76.4354i −3.96664 + 6.36961i
\(145\) −0.434060 + 0.0824635i −0.0360467 + 0.00684822i
\(146\) −3.47588 + 42.6301i −0.287666 + 3.52809i
\(147\) −20.5044 + 1.02742i −1.69118 + 0.0847400i
\(148\) −5.71783 + 2.85502i −0.470002 + 0.234682i
\(149\) 7.20501 11.2534i 0.590258 0.921915i −0.409695 0.912222i \(-0.634365\pi\)
0.999953 0.00969240i \(-0.00308524\pi\)
\(150\) 35.6943 16.7201i 2.91443 1.36519i
\(151\) −7.41074 11.2618i −0.603078 0.916472i 0.396921 0.917853i \(-0.370079\pi\)
−0.999999 + 0.00138044i \(0.999561\pi\)
\(152\) −42.6012 34.1606i −3.45541 2.77079i
\(153\) 19.7196 28.3929i 1.59423 2.29543i
\(154\) −0.579770 + 0.453096i −0.0467192 + 0.0365115i
\(155\) 2.24838 0.918972i 0.180595 0.0738136i
\(156\) 33.5859 + 30.5723i 2.68902 + 2.44774i
\(157\) 0.854327 1.79450i 0.0681827 0.143217i −0.865964 0.500106i \(-0.833294\pi\)
0.934147 + 0.356889i \(0.116163\pi\)
\(158\) 25.5534 23.2606i 2.03292 1.85051i
\(159\) −9.31623 30.7548i −0.738825 2.43901i
\(160\) 7.36227 4.77893i 0.582038 0.377808i
\(161\) 0.593110 + 0.417455i 0.0467436 + 0.0329000i
\(162\) 6.38742 + 15.3526i 0.501843 + 1.20622i
\(163\) 14.7755 + 5.61174i 1.15730 + 0.439545i 0.857514 0.514460i \(-0.172008\pi\)
0.299790 + 0.954005i \(0.403083\pi\)
\(164\) 2.29865 + 0.973266i 0.179494 + 0.0759993i
\(165\) 1.83714 + 0.445315i 0.143021 + 0.0346677i
\(166\) 5.00279 11.6126i 0.388292 0.901310i
\(167\) −0.170112 + 5.43471i −0.0131637 + 0.420551i 0.970560 + 0.240861i \(0.0774298\pi\)
−0.983723 + 0.179690i \(0.942491\pi\)
\(168\) 3.31263 + 2.86711i 0.255575 + 0.221202i
\(169\) −4.24039 + 3.22924i −0.326184 + 0.248403i
\(170\) −5.29053 + 3.06922i −0.405765 + 0.235399i
\(171\) −30.2393 + 8.54370i −2.31246 + 0.653353i
\(172\) −41.6764 17.0342i −3.17780 1.29885i
\(173\) −5.55525 11.6687i −0.422358 0.887159i −0.997604 0.0691783i \(-0.977962\pi\)
0.575246 0.817980i \(-0.304906\pi\)
\(174\) 2.85106 9.41194i 0.216139 0.713518i
\(175\) −0.204832 0.708013i −0.0154839 0.0535208i
\(176\) −27.9602 2.80907i −2.10758 0.211741i
\(177\) 5.83983 + 17.6716i 0.438948 + 1.32828i
\(178\) 16.1168 22.0086i 1.20800 1.64961i
\(179\) −8.73842 + 16.2109i −0.653140 + 1.21166i 0.312039 + 0.950069i \(0.398988\pi\)
−0.965179 + 0.261591i \(0.915753\pi\)
\(180\) 0.502414 11.4614i 0.0374477 0.854286i
\(181\) 0.443595 + 6.43371i 0.0329722 + 0.478214i 0.985040 + 0.172326i \(0.0551284\pi\)
−0.952068 + 0.305887i \(0.901047\pi\)
\(182\) 0.900312 0.721934i 0.0667356 0.0535133i
\(183\) 23.7442 + 7.68210i 1.75522 + 0.567877i
\(184\) 9.08034 + 46.2165i 0.669411 + 3.40713i
\(185\) 0.233673 0.345605i 0.0171800 0.0254094i
\(186\) −5.06769 + 53.8263i −0.371581 + 3.94673i
\(187\) 10.6668 + 1.61426i 0.780032 + 0.118046i
\(188\) 8.52949 49.9979i 0.622077 3.64648i
\(189\) 1.15112 0.279028i 0.0837316 0.0202963i
\(190\) 5.48630 + 0.900650i 0.398018 + 0.0653400i
\(191\) −0.541511 + 9.60416i −0.0391824 + 0.694933i 0.916410 + 0.400241i \(0.131074\pi\)
−0.955592 + 0.294692i \(0.904783\pi\)
\(192\) 9.53446 + 101.270i 0.688090 + 7.30852i
\(193\) 15.8637 + 8.67982i 1.14190 + 0.624787i 0.935376 0.353655i \(-0.115061\pi\)
0.206519 + 0.978443i \(0.433786\pi\)
\(194\) 20.2269 26.2183i 1.45220 1.88236i
\(195\) −2.88977 0.662290i −0.206941 0.0474275i
\(196\) −29.7173 + 25.0770i −2.12266 + 1.79121i
\(197\) 1.74333 0.131167i 0.124207 0.00934526i −0.0127780 0.999918i \(-0.504067\pi\)
0.136985 + 0.990573i \(0.456259\pi\)
\(198\) −18.1248 + 20.6783i −1.28808 + 1.46954i
\(199\) 0.0100645 + 1.60820i 0.000713455 + 0.114003i 0.998711 + 0.0507533i \(0.0161622\pi\)
−0.997998 + 0.0632492i \(0.979854\pi\)
\(200\) 22.1821 42.4131i 1.56851 2.99906i
\(201\) 8.45510 26.7028i 0.596377 1.88347i
\(202\) −25.1412 14.1677i −1.76893 0.996838i
\(203\) −0.165538 0.0800838i −0.0116185 0.00562078i
\(204\) −4.38749 100.091i −0.307186 7.00775i
\(205\) −0.161913 + 0.0183165i −0.0113085 + 0.00127928i
\(206\) 20.1775 + 16.5989i 1.40584 + 1.15650i
\(207\) 24.6865 + 11.1892i 1.71583 + 0.777701i
\(208\) 43.9029 + 3.85639i 3.04412 + 0.267392i
\(209\) −6.55571 7.29308i −0.453468 0.504473i
\(210\) −0.437148 0.0887329i −0.0301660 0.00612315i
\(211\) 11.3513 7.77891i 0.781457 0.535522i −0.107121 0.994246i \(-0.534163\pi\)
0.888579 + 0.458724i \(0.151693\pi\)
\(212\) −49.3289 35.6512i −3.38792 2.44854i
\(213\) −26.7316 22.5574i −1.83162 1.54561i
\(214\) −19.3601 25.7550i −1.32343 1.76058i
\(215\) 2.91601 0.366895i 0.198870 0.0250220i
\(216\) 66.5326 + 38.5979i 4.52697 + 2.62625i
\(217\) 0.979441 + 0.250433i 0.0664888 + 0.0170005i
\(218\) −3.40391 + 25.7515i −0.230542 + 1.74411i
\(219\) 45.6764 + 2.28871i 3.08653 + 0.154657i
\(220\) 3.27921 1.43711i 0.221084 0.0968897i
\(221\) −16.7595 2.32213i −1.12737 0.156203i
\(222\) 4.40616 + 8.17401i 0.295722 + 0.548604i
\(223\) 16.8945 8.17319i 1.13134 0.547317i 0.226897 0.973919i \(-0.427142\pi\)
0.904440 + 0.426601i \(0.140289\pi\)
\(224\) 3.64606 + 0.228474i 0.243613 + 0.0152656i
\(225\) −12.4583 24.5646i −0.830550 1.63764i
\(226\) 20.5009 44.4881i 1.36370 2.95930i
\(227\) 14.4903 3.32095i 0.961756 0.220419i 0.286564 0.958061i \(-0.407487\pi\)
0.675192 + 0.737642i \(0.264061\pi\)
\(228\) −54.7209 + 72.7960i −3.62398 + 4.82103i
\(229\) −3.14481 + 5.49984i −0.207815 + 0.363440i −0.952779 0.303665i \(-0.901790\pi\)
0.744964 + 0.667105i \(0.232467\pi\)
\(230\) −3.11559 3.64557i −0.205436 0.240382i
\(231\) 0.503633 + 0.604462i 0.0331366 + 0.0397707i
\(232\) −4.17007 11.1901i −0.273778 0.734666i
\(233\) 2.80917 + 0.0351622i 0.184035 + 0.00230355i 0.104480 0.994527i \(-0.466682\pi\)
0.0795545 + 0.996831i \(0.474650\pi\)
\(234\) 28.0178 32.7838i 1.83158 2.14314i
\(235\) 1.11724 + 3.11670i 0.0728804 + 0.203311i
\(236\) 29.0777 + 19.9265i 1.89279 + 1.29711i
\(237\) −25.7142 26.5316i −1.67031 1.72341i
\(238\) −2.52956 0.286158i −0.163967 0.0185489i
\(239\) −1.46624 + 21.2657i −0.0948433 + 1.37557i 0.675229 + 0.737608i \(0.264045\pi\)
−0.770072 + 0.637957i \(0.779780\pi\)
\(240\) −9.71753 13.9917i −0.627264 0.903157i
\(241\) 3.87522 + 1.20041i 0.249625 + 0.0773250i 0.418170 0.908369i \(-0.362672\pi\)
−0.168545 + 0.985694i \(0.553907\pi\)
\(242\) 20.9450 + 5.63562i 1.34640 + 0.362272i
\(243\) −5.18010 + 2.34789i −0.332304 + 0.150617i
\(244\) 44.5931 15.6710i 2.85478 1.00323i
\(245\) 0.886354 2.37847i 0.0566271 0.151955i
\(246\) 1.30895 3.38248i 0.0834555 0.215659i
\(247\) 10.4239 + 11.3085i 0.663259 + 0.719540i
\(248\) 34.7044 + 55.7281i 2.20373 + 3.53874i
\(249\) −12.5781 4.95818i −0.797104 0.314212i
\(250\) 0.309072 + 9.87418i 0.0195474 + 0.624498i
\(251\) −0.250671 + 0.308630i −0.0158222 + 0.0194806i −0.784076 0.620665i \(-0.786863\pi\)
0.768254 + 0.640145i \(0.221126\pi\)
\(252\) 3.01040 3.70645i 0.189637 0.233484i
\(253\) 0.264630 + 8.45436i 0.0166371 + 0.531521i
\(254\) 25.0293 + 9.86635i 1.57048 + 0.619070i
\(255\) 3.45716 + 5.55149i 0.216496 + 0.347648i
\(256\) 40.5730 + 44.0158i 2.53581 + 2.75098i
\(257\) 0.270602 0.699268i 0.0168797 0.0436191i −0.923910 0.382609i \(-0.875026\pi\)
0.940790 + 0.338990i \(0.110085\pi\)
\(258\) −22.8437 + 61.2995i −1.42218 + 3.81634i
\(259\) 0.163817 0.0575688i 0.0101791 0.00357715i
\(260\) −5.11430 + 2.31806i −0.317176 + 0.143760i
\(261\) −6.63595 1.78552i −0.410755 0.110521i
\(262\) −11.3536 3.51696i −0.701429 0.217278i
\(263\) 13.9791 + 20.1276i 0.861988 + 1.24112i 0.969049 + 0.246869i \(0.0794017\pi\)
−0.107061 + 0.994252i \(0.534144\pi\)
\(264\) −3.51445 + 50.9721i −0.216300 + 3.13711i
\(265\) 3.94783 + 0.446601i 0.242513 + 0.0274345i
\(266\) 1.61046 + 1.66166i 0.0987438 + 0.101883i
\(267\) −24.0604 16.4883i −1.47247 1.00907i
\(268\) −17.9012 49.9383i −1.09349 3.05046i
\(269\) 2.51314 2.94064i 0.153229 0.179294i −0.678284 0.734800i \(-0.737276\pi\)
0.831513 + 0.555506i \(0.187475\pi\)
\(270\) −7.83084 0.0980183i −0.476570 0.00596520i
\(271\) −5.13302 13.7741i −0.311809 0.836719i −0.994377 0.105897i \(-0.966229\pi\)
0.682568 0.730822i \(-0.260863\pi\)
\(272\) −62.2327 74.6919i −3.77341 4.52886i
\(273\) −0.801672 0.938042i −0.0485194 0.0567729i
\(274\) −22.3211 + 39.0366i −1.34847 + 2.35829i
\(275\) 5.16485 6.87087i 0.311452 0.414329i
\(276\) 76.5663 17.5478i 4.60875 1.05625i
\(277\) −3.56709 + 7.74081i −0.214326 + 0.465100i −0.985094 0.172015i \(-0.944972\pi\)
0.770768 + 0.637115i \(0.219873\pi\)
\(278\) 11.7020 + 23.0734i 0.701839 + 1.38385i
\(279\) 37.7049 + 2.36272i 2.25733 + 0.141452i
\(280\) −0.487595 + 0.235888i −0.0291394 + 0.0140970i
\(281\) 4.36067 + 8.08960i 0.260136 + 0.482585i 0.976607 0.215031i \(-0.0689852\pi\)
−0.716472 + 0.697616i \(0.754244\pi\)
\(282\) −72.9979 10.1143i −4.34696 0.602298i
\(283\) −10.7140 + 4.69538i −0.636880 + 0.279111i −0.694792 0.719210i \(-0.744504\pi\)
0.0579124 + 0.998322i \(0.481556\pi\)
\(284\) −66.1640 3.31529i −3.92611 0.196726i
\(285\) 0.779024 5.89352i 0.0461454 0.349102i
\(286\) 13.0389 + 3.33391i 0.771006 + 0.197138i
\(287\) −0.0586629 0.0340324i −0.00346276 0.00200887i
\(288\) 135.451 17.0426i 7.98154 1.00424i
\(289\) 12.2120 + 16.2457i 0.718350 + 0.955631i
\(290\) 0.929231 + 0.784132i 0.0545663 + 0.0460458i
\(291\) −28.6970 20.7400i −1.68225 1.21580i
\(292\) 71.4519 48.9650i 4.18141 2.86546i
\(293\) 5.11131 + 1.03750i 0.298606 + 0.0606116i 0.345906 0.938269i \(-0.387572\pi\)
−0.0472999 + 0.998881i \(0.515062\pi\)
\(294\) 37.7692 + 42.0174i 2.20275 + 2.45051i
\(295\) −2.29222 0.201346i −0.133458 0.0117228i
\(296\) 10.2703 + 4.65502i 0.596948 + 0.270568i
\(297\) 10.6676 + 8.77563i 0.618996 + 0.509214i
\(298\) −36.5391 + 4.13351i −2.11665 + 0.239448i
\(299\) −0.580951 13.2531i −0.0335972 0.766446i
\(300\) −71.8575 34.7632i −4.14870 2.00705i
\(301\) 1.06568 + 0.600541i 0.0614250 + 0.0346146i
\(302\) −11.1992 + 35.3691i −0.644440 + 2.03526i
\(303\) −14.3005 + 27.3432i −0.821541 + 1.57082i
\(304\) 0.553047 + 88.3711i 0.0317194 + 5.06843i
\(305\) −2.03377 + 2.32029i −0.116453 + 0.132859i
\(306\) −94.8636 + 7.13747i −5.42299 + 0.408022i
\(307\) −13.4998 + 11.3918i −0.770476 + 0.650167i −0.942228 0.334973i \(-0.891273\pi\)
0.171751 + 0.985140i \(0.445058\pi\)
\(308\) 1.45250 + 0.332890i 0.0827638 + 0.0189682i
\(309\) 17.0648 22.1197i 0.970785 1.25834i
\(310\) −5.86391 3.20844i −0.333048 0.182227i
\(311\) 1.23497 + 13.1172i 0.0700288 + 0.743808i 0.958541 + 0.284955i \(0.0919786\pi\)
−0.888512 + 0.458853i \(0.848260\pi\)
\(312\) 4.51088 80.0043i 0.255378 4.52935i
\(313\) −15.7352 2.58314i −0.889406 0.146008i −0.300090 0.953911i \(-0.597017\pi\)
−0.589316 + 0.807903i \(0.700603\pi\)
\(314\) −5.31551 + 1.28846i −0.299971 + 0.0727120i
\(315\) −0.0524173 + 0.307259i −0.00295338 + 0.0173121i
\(316\) −69.1914 10.4711i −3.89232 0.589045i
\(317\) −1.41024 + 14.9788i −0.0792071 + 0.841296i 0.862765 + 0.505605i \(0.168731\pi\)
−0.941972 + 0.335691i \(0.891030\pi\)
\(318\) −49.5326 + 73.2592i −2.77765 + 4.10817i
\(319\) −0.413451 2.10435i −0.0231488 0.117821i
\(320\) −11.9653 3.87120i −0.668879 0.216407i
\(321\) −26.8776 + 21.5523i −1.50016 + 1.20293i
\(322\) −0.137292 1.99122i −0.00765099 0.110967i
\(323\) 1.48577 33.8946i 0.0826706 1.88594i
\(324\) 15.9788 29.6428i 0.887713 1.64682i
\(325\) −7.96473 + 10.8764i −0.441804 + 0.603314i
\(326\) −13.6476 41.2984i −0.755872 2.28731i
\(327\) 27.6353 + 2.77642i 1.52824 + 0.153537i
\(328\) −1.22397 4.23070i −0.0675822 0.233601i
\(329\) −0.399506 + 1.31885i −0.0220255 + 0.0727106i
\(330\) −2.23612 4.69695i −0.123094 0.258559i
\(331\) 7.52644 + 3.07625i 0.413690 + 0.169086i 0.575621 0.817716i \(-0.304760\pi\)
−0.161931 + 0.986802i \(0.551772\pi\)
\(332\) −24.6423 + 6.96233i −1.35242 + 0.382107i
\(333\) 5.61268 3.25611i 0.307573 0.178434i
\(334\) 11.9043 9.06567i 0.651377 0.496052i
\(335\) 2.61842 + 2.26627i 0.143060 + 0.123820i
\(336\) 0.221822 7.08675i 0.0121014 0.386614i
\(337\) 1.40921 3.27107i 0.0767643 0.178187i −0.875686 0.482881i \(-0.839590\pi\)
0.952450 + 0.304695i \(0.0985544\pi\)
\(338\) 14.2550 + 3.45536i 0.775369 + 0.187947i
\(339\) −48.2317 20.4217i −2.61959 1.10915i
\(340\) 11.5796 + 4.39794i 0.627992 + 0.238512i
\(341\) 4.52885 + 10.8854i 0.245251 + 0.589478i
\(342\) 70.7146 + 49.7718i 3.82381 + 2.69135i
\(343\) 1.77518 1.15229i 0.0958508 0.0622178i
\(344\) 23.0296 + 76.0256i 1.24167 + 4.09902i
\(345\) −3.79192 + 3.45168i −0.204150 + 0.185832i
\(346\) −15.2877 + 32.1116i −0.821870 + 1.72633i
\(347\) −19.9627 18.1715i −1.07165 0.975496i −0.0718915 0.997412i \(-0.522904\pi\)
−0.999760 + 0.0219169i \(0.993023\pi\)
\(348\) −18.4356 + 7.53511i −0.988254 + 0.403924i
\(349\) 14.6941 11.4836i 0.786555 0.614701i −0.140304 0.990108i \(-0.544808\pi\)
0.926860 + 0.375408i \(0.122497\pi\)
\(350\) −1.15702 + 1.66593i −0.0618456 + 0.0890475i
\(351\) −16.9014 13.5527i −0.902128 0.723390i
\(352\) 23.4198 + 35.5902i 1.24828 + 1.89696i
\(353\) 25.5385 11.9629i 1.35928 0.636720i 0.399305 0.916818i \(-0.369252\pi\)
0.959971 + 0.280099i \(0.0903671\pi\)
\(354\) 27.6168 43.1342i 1.46782 2.29256i
\(355\) 3.86895 1.93184i 0.205343 0.102532i
\(356\) −55.1747 + 2.76464i −2.92425 + 0.146526i
\(357\) −0.221207 + 2.71300i −0.0117075 + 0.143587i
\(358\) 49.7893 9.45908i 2.63145 0.499928i
\(359\) 4.73593 7.60493i 0.249953 0.401373i −0.699817 0.714322i \(-0.746735\pi\)
0.949770 + 0.312949i \(0.101317\pi\)
\(360\) −16.2558 + 12.0610i −0.856755 + 0.635672i
\(361\) −7.91489 + 8.80514i −0.416573 + 0.463428i
\(362\) 12.9736 12.1098i 0.681875 0.636479i
\(363\) 5.32231 22.5732i 0.279349 1.18478i
\(364\) −2.28437 0.493532i −0.119733 0.0258681i
\(365\) −2.49422 + 5.07446i −0.130554 + 0.265609i
\(366\) −24.7854 64.0486i −1.29556 3.34787i
\(367\) −5.76734 + 0.0721895i −0.301053 + 0.00376826i −0.162900 0.986643i \(-0.552085\pi\)
−0.138153 + 0.990411i \(0.544117\pi\)
\(368\) 48.7936 58.5622i 2.54354 3.05276i
\(369\) −2.39106 0.840268i −0.124473 0.0437426i
\(370\) −1.14367 + 0.100459i −0.0594565 + 0.00522260i
\(371\) 1.20883 + 1.12835i 0.0627591 + 0.0585809i
\(372\) 91.0846 60.7578i 4.72252 3.15014i
\(373\) −6.31304 + 24.0619i −0.326877 + 1.24588i 0.576525 + 0.817080i \(0.304409\pi\)
−0.903402 + 0.428796i \(0.858938\pi\)
\(374\) −15.0582 25.5862i −0.778643 1.32303i
\(375\) 10.5425 0.660630i 0.544413 0.0341148i
\(376\) −77.9620 + 43.9336i −4.02058 + 2.26570i
\(377\) 0.689688 + 3.29197i 0.0355207 + 0.169545i
\(378\) −2.59319 1.97483i −0.133379 0.101574i
\(379\) 6.00933 + 0.756099i 0.308679 + 0.0388382i 0.277656 0.960681i \(-0.410442\pi\)
0.0310224 + 0.999519i \(0.490124\pi\)
\(380\) −5.58897 9.77434i −0.286708 0.501413i
\(381\) 9.70720 27.0797i 0.497315 1.38734i
\(382\) 21.4551 15.5062i 1.09774 0.793365i
\(383\) −4.17766 0.314325i −0.213469 0.0160612i −0.0321381 0.999483i \(-0.510232\pi\)
−0.181331 + 0.983422i \(0.558040\pi\)
\(384\) 98.4448 96.6137i 5.02374 4.93030i
\(385\) −0.0932709 + 0.0276175i −0.00475353 + 0.00140752i
\(386\) −8.98187 48.9460i −0.457165 2.49129i
\(387\) 43.3131 + 14.6147i 2.20173 + 0.742906i
\(388\) −67.0401 + 1.67854i −3.40344 + 0.0852149i
\(389\) −3.05148 12.2533i −0.154716 0.621268i −0.996657 0.0816986i \(-0.973966\pi\)
0.841941 0.539569i \(-0.181413\pi\)
\(390\) 3.59892 + 7.32195i 0.182239 + 0.370761i
\(391\) −19.8339 + 21.5169i −1.00305 + 1.08816i
\(392\) 67.3999 + 12.8048i 3.40421 + 0.646739i
\(393\) −3.37888 + 12.2516i −0.170442 + 0.618013i
\(394\) −3.30481 3.49639i −0.166494 0.176146i
\(395\) 4.27044 1.62192i 0.214869 0.0816075i
\(396\) 55.6474 + 2.09048i 2.79639 + 0.105051i
\(397\) −2.31046 + 0.621669i −0.115959 + 0.0312007i −0.317337 0.948313i \(-0.602789\pi\)
0.201378 + 0.979514i \(0.435458\pi\)
\(398\) 3.41786 2.81168i 0.171322 0.140937i
\(399\) 1.72200 1.77674i 0.0862077 0.0889483i
\(400\) −75.9130 + 15.4090i −3.79565 + 0.770448i
\(401\) −6.08197 4.51254i −0.303719 0.225345i 0.433247 0.901275i \(-0.357368\pi\)
−0.736966 + 0.675930i \(0.763742\pi\)
\(402\) −71.7098 + 28.2674i −3.57656 + 1.40985i
\(403\) −7.31589 16.9818i −0.364430 0.845923i
\(404\) 9.82821 + 57.6107i 0.488971 + 2.86624i
\(405\) 0.0412683 + 2.19785i 0.00205064 + 0.109212i
\(406\) 0.116134 + 0.492552i 0.00576364 + 0.0244449i
\(407\) 1.68461 + 1.12372i 0.0835031 + 0.0557005i
\(408\) −132.198 + 117.345i −6.54477 + 5.80942i
\(409\) 15.3363 + 17.4969i 0.758330 + 0.865165i 0.994303 0.106595i \(-0.0339948\pi\)
−0.235972 + 0.971760i \(0.575827\pi\)
\(410\) 0.320040 + 0.314087i 0.0158057 + 0.0155117i
\(411\) 42.4664 + 22.5495i 2.09471 + 1.11228i
\(412\) 0.331136 52.9120i 0.0163139 2.60679i
\(413\) −0.716253 0.635777i −0.0352445 0.0312845i
\(414\) −18.9288 72.1461i −0.930299 3.54579i
\(415\) 1.17827 1.18566i 0.0578388 0.0582019i
\(416\) −37.4260 55.3534i −1.83496 2.71392i
\(417\) 24.2679 13.2782i 1.18840 0.650234i
\(418\) −4.20496 + 26.6570i −0.205671 + 1.30384i
\(419\) −0.192650 + 0.0341076i −0.00941157 + 0.00166626i −0.179037 0.983842i \(-0.557298\pi\)
0.169625 + 0.985509i \(0.445744\pi\)
\(420\) 0.418653 + 0.800483i 0.0204282 + 0.0390596i
\(421\) −25.7795 + 13.6888i −1.25642 + 0.667153i −0.957859 0.287239i \(-0.907263\pi\)
−0.298558 + 0.954391i \(0.596506\pi\)
\(422\) −36.3109 10.7516i −1.76759 0.523382i
\(423\) −5.46831 + 51.2054i −0.265879 + 2.48969i
\(424\) 6.04508 + 107.215i 0.293575 + 5.20680i
\(425\) 29.4032 4.44975i 1.42627 0.215844i
\(426\) −1.80703 + 96.2383i −0.0875511 + 4.66276i
\(427\) −1.25523 + 0.271190i −0.0607451 + 0.0131238i
\(428\) −15.7680 + 63.3172i −0.762177 + 3.06055i
\(429\) 3.12687 14.0466i 0.150967 0.678177i
\(430\) −5.84292 5.59241i −0.281771 0.269690i
\(431\) −6.32648 18.3693i −0.304736 0.884818i −0.987974 0.154622i \(-0.950584\pi\)
0.683238 0.730196i \(-0.260571\pi\)
\(432\) −19.3963 122.962i −0.933207 5.91600i
\(433\) 3.82965 + 4.96405i 0.184041 + 0.238557i 0.874748 0.484578i \(-0.161027\pi\)
−0.690706 + 0.723135i \(0.742700\pi\)
\(434\) −1.16434 2.52670i −0.0558903 0.121285i
\(435\) 0.806943 1.01933i 0.0386899 0.0488732i
\(436\) 44.8271 27.5280i 2.14683 1.31835i
\(437\) 26.3488 3.65079i 1.26044 0.174641i
\(438\) −74.3581 101.541i −3.55297 4.85183i
\(439\) 4.62145 6.47951i 0.220570 0.309250i −0.689032 0.724730i \(-0.741964\pi\)
0.909602 + 0.415481i \(0.136387\pi\)
\(440\) −5.61580 2.89245i −0.267723 0.137892i
\(441\) 28.5207 27.2979i 1.35813 1.29990i
\(442\) 24.1168 + 39.8291i 1.14712 + 1.89448i
\(443\) 16.1992 17.1383i 0.769647 0.814265i −0.217165 0.976135i \(-0.569681\pi\)
0.986812 + 0.161870i \(0.0517526\pi\)
\(444\) 7.22376 17.3628i 0.342825 0.824003i
\(445\) 3.04915 1.92543i 0.144544 0.0912740i
\(446\) −46.7703 21.9084i −2.21464 1.03739i
\(447\) 5.63994 + 38.9122i 0.266760 + 1.84049i
\(448\) −3.03939 4.26138i −0.143598 0.201331i
\(449\) −0.716599 + 2.16847i −0.0338184 + 0.102336i −0.965027 0.262151i \(-0.915568\pi\)
0.931209 + 0.364487i \(0.118756\pi\)
\(450\) −30.8583 + 69.2311i −1.45467 + 3.26359i
\(451\) −0.0938240 0.785346i −0.00441800 0.0369805i
\(452\) −96.1098 + 24.5742i −4.52062 + 1.15588i
\(453\) 38.1747 + 10.7857i 1.79361 + 0.506758i
\(454\) −32.2342 25.1913i −1.51283 1.18229i
\(455\) 0.145727 0.0451411i 0.00683179 0.00211625i
\(456\) 160.566 6.03190i 7.51918 0.282470i
\(457\) −10.1605 + 4.30205i −0.475289 + 0.201241i −0.614336 0.789045i \(-0.710576\pi\)
0.139047 + 0.990286i \(0.455596\pi\)
\(458\) 17.2045 2.82434i 0.803912 0.131973i
\(459\) 5.07470 + 47.5196i 0.236867 + 2.21802i
\(460\) −1.75289 + 9.55225i −0.0817290 + 0.445376i
\(461\) −20.2549 + 36.4750i −0.943366 + 1.69881i −0.264753 + 0.964316i \(0.585290\pi\)
−0.678613 + 0.734496i \(0.737419\pi\)
\(462\) 0.417417 2.12454i 0.0194200 0.0988427i
\(463\) 10.3912 + 10.4565i 0.482922 + 0.485954i 0.907863 0.419267i \(-0.137713\pi\)
−0.424941 + 0.905221i \(0.639705\pi\)
\(464\) −9.80252 + 16.6559i −0.455070 + 0.773232i
\(465\) −3.23280 + 6.37428i −0.149917 + 0.295600i
\(466\) −4.79870 6.06173i −0.222296 0.280804i
\(467\) −9.92357 3.62752i −0.459208 0.167862i 0.103306 0.994650i \(-0.467058\pi\)
−0.562514 + 0.826788i \(0.690166\pi\)
\(468\) −87.3082 2.18601i −4.03582 0.101048i
\(469\) 0.313182 + 1.40689i 0.0144614 + 0.0649640i
\(470\) 4.71928 7.79392i 0.217684 0.359507i
\(471\) 1.55484 + 5.63775i 0.0716431 + 0.259774i
\(472\) −5.05428 61.9883i −0.232642 2.85324i
\(473\) 1.86943 + 14.1427i 0.0859566 + 0.650284i
\(474\) −12.0615 + 100.960i −0.554005 + 4.63725i
\(475\) −23.2103 13.8562i −1.06496 0.635768i
\(476\) 2.77985 + 4.34180i 0.127414 + 0.199006i
\(477\) 52.2496 + 32.9937i 2.39234 + 1.51068i
\(478\) 47.9700 33.7633i 2.19410 1.54430i
\(479\) 7.50460 18.6942i 0.342894 0.854159i −0.652455 0.757827i \(-0.726261\pi\)
0.995349 0.0963321i \(-0.0307111\pi\)
\(480\) −7.17767 + 24.8100i −0.327614 + 1.13242i
\(481\) −2.66389 1.72916i −0.121463 0.0788431i
\(482\) −4.15916 10.3606i −0.189445 0.471912i
\(483\) −2.12349 + 0.213340i −0.0966223 + 0.00970730i
\(484\) −17.8830 40.1208i −0.812863 1.82367i
\(485\) 3.75873 2.24391i 0.170675 0.101891i
\(486\) 14.0027 + 6.99181i 0.635174 + 0.317155i
\(487\) −0.776103 0.340125i −0.0351686 0.0154126i 0.383736 0.923443i \(-0.374637\pi\)
−0.418904 + 0.908030i \(0.637586\pi\)
\(488\) −71.0651 43.6405i −3.21696 1.97551i
\(489\) −43.6804 + 15.9672i −1.97530 + 0.722061i
\(490\) −6.61850 + 2.23321i −0.298993 + 0.100886i
\(491\) 7.76353 + 13.9806i 0.350363 + 0.630934i 0.990529 0.137303i \(-0.0438435\pi\)
−0.640166 + 0.768237i \(0.721134\pi\)
\(492\) −6.98846 + 2.26102i −0.315064 + 0.101935i
\(493\) 4.07856 6.19802i 0.183689 0.279145i
\(494\) 6.07104 41.8866i 0.273149 1.88457i
\(495\) −3.23163 + 1.66447i −0.145251 + 0.0748123i
\(496\) 34.5978 100.457i 1.55349 4.51063i
\(497\) 1.77232 + 0.313778i 0.0794994 + 0.0140749i
\(498\) 11.2313 + 35.4706i 0.503287 + 1.58948i
\(499\) −3.54380 + 16.9150i −0.158642 + 0.757220i 0.823235 + 0.567701i \(0.192167\pi\)
−0.981877 + 0.189519i \(0.939307\pi\)
\(500\) 15.1275 13.0930i 0.676522 0.585536i
\(501\) −10.0870 12.4193i −0.450654 0.554853i
\(502\) 1.09418 0.0488355
\(503\) 17.9311 13.4712i 0.799510 0.600653i
\(504\) −8.42474 −0.375268
\(505\) −2.40520 2.96132i −0.107030 0.131777i
\(506\) 17.6004 15.2333i 0.782434 0.677204i
\(507\) 3.21599 15.3504i 0.142827 0.681734i
\(508\) −16.4471 51.9429i −0.729720 2.30460i
\(509\) 34.0147 + 6.02210i 1.50767 + 0.266925i 0.865997 0.500049i \(-0.166685\pi\)
0.641678 + 0.766974i \(0.278239\pi\)
\(510\) 5.86059 17.0166i 0.259511 0.753506i
\(511\) −2.09218 + 1.07759i −0.0925527 + 0.0476698i
\(512\) 10.1824 70.2523i 0.450001 3.10474i
\(513\) 23.8795 36.2886i 1.05430 1.60218i
\(514\) −1.96321 + 0.635169i −0.0865933 + 0.0280161i
\(515\) 1.67686 + 3.01968i 0.0738912 + 0.133063i
\(516\) 125.528 42.3558i 5.52608 1.86461i
\(517\) −15.0941 + 5.51757i −0.663836 + 0.242662i
\(518\) −0.407191 0.250053i −0.0178910 0.0109867i
\(519\) 34.8301 + 15.2642i 1.52887 + 0.670025i
\(520\) 8.86357 + 4.42576i 0.388693 + 0.194082i
\(521\) 20.9864 12.5286i 0.919431 0.548888i 0.0267822 0.999641i \(-0.491474\pi\)
0.892649 + 0.450753i \(0.148844\pi\)
\(522\) 7.69908 + 17.2730i 0.336980 + 0.756019i
\(523\) −33.4091 + 3.35650i −1.46088 + 0.146769i −0.798317 0.602237i \(-0.794276\pi\)
−0.662563 + 0.749006i \(0.730531\pi\)
\(524\) 8.96742 + 22.3381i 0.391744 + 0.975846i
\(525\) 1.81914 + 1.18082i 0.0793936 + 0.0515352i
\(526\) 18.7417 64.7818i 0.817178 2.82462i
\(527\) −15.1958 + 37.8531i −0.661938 + 1.64891i
\(528\) 67.6182 47.5924i 2.94270 2.07119i
\(529\) 0.0471981 + 0.0298039i 0.00205209 + 0.00129582i
\(530\) −5.89536 9.20788i −0.256078 0.399965i
\(531\) −30.7302 18.3455i −1.33358 0.796128i
\(532\) 0.555911 4.65320i 0.0241018 0.201742i
\(533\) 0.162552 + 1.22975i 0.00704092 + 0.0532664i
\(534\) 6.52308 + 80.0025i 0.282281 + 3.46205i
\(535\) −1.13243 4.10613i −0.0489593 0.177524i
\(536\) −48.4801 + 80.0652i −2.09402 + 3.45829i
\(537\) −11.7748 52.8951i −0.508120 2.28259i
\(538\) −10.6418 0.266447i −0.458799 0.0114873i
\(539\) 11.5717 + 4.22998i 0.498427 + 0.182198i
\(540\) 9.84415 + 12.4351i 0.423625 + 0.535123i
\(541\) −8.85288 + 17.4557i −0.380615 + 0.750479i −0.999384 0.0350939i \(-0.988827\pi\)
0.618769 + 0.785573i \(0.287632\pi\)
\(542\) −20.5176 + 34.8624i −0.881306 + 1.49747i
\(543\) −13.3762 13.4602i −0.574027 0.577631i
\(544\) −28.4166 + 144.633i −1.21835 + 6.20108i
\(545\) −1.66709 + 3.00209i −0.0714102 + 0.128595i
\(546\) −0.612898 + 3.33994i −0.0262296 + 0.142936i
\(547\) −3.96635 37.1410i −0.169589 1.58803i −0.683344 0.730097i \(-0.739475\pi\)
0.513755 0.857937i \(-0.328254\pi\)
\(548\) 89.8642 14.7524i 3.83881 0.630191i
\(549\) −44.1919 + 18.7112i −1.88606 + 0.798575i
\(550\) −23.6378 + 0.887993i −1.00792 + 0.0378641i
\(551\) −6.44235 + 1.99562i −0.274453 + 0.0850161i
\(552\) −109.201 85.3415i −4.64790 3.63238i
\(553\) 1.82966 + 0.516944i 0.0778049 + 0.0219827i
\(554\) 22.7241 5.81031i 0.965454 0.246856i
\(555\) 0.145622 + 1.21892i 0.00618131 + 0.0517401i
\(556\) 21.3304 47.8550i 0.904609 2.02951i
\(557\) 0.219714 0.664866i 0.00930958 0.0281713i −0.944738 0.327826i \(-0.893684\pi\)
0.954048 + 0.299654i \(0.0968714\pi\)
\(558\) −60.3697 84.6415i −2.55565 3.58316i
\(559\) −3.20929 22.1422i −0.135738 0.936515i
\(560\) 0.793827 + 0.371849i 0.0335453 + 0.0157135i
\(561\) −26.8411 + 16.9492i −1.13323 + 0.715594i
\(562\) 9.71476 23.3501i 0.409792 0.984965i
\(563\) 12.7198 13.4572i 0.536077 0.567154i −0.401088 0.916039i \(-0.631368\pi\)
0.937165 + 0.348885i \(0.113440\pi\)
\(564\) 77.3025 + 127.666i 3.25502 + 5.37569i
\(565\) 4.67816 4.47759i 0.196812 0.188374i
\(566\) 28.6183 + 14.7400i 1.20292 + 0.619569i
\(567\) −0.531277 + 0.744877i −0.0223115 + 0.0312819i
\(568\) 69.0570 + 94.3021i 2.89757 + 3.95683i
\(569\) −8.80956 + 1.22062i −0.369316 + 0.0511709i −0.319497 0.947587i \(-0.603514\pi\)
−0.0498191 + 0.998758i \(0.515864\pi\)
\(570\) −13.9409 + 8.56098i −0.583918 + 0.358580i
\(571\) 0.593601 0.749838i 0.0248414 0.0313797i −0.771478 0.636255i \(-0.780482\pi\)
0.796320 + 0.604876i \(0.206777\pi\)
\(572\) −11.4069 24.7536i −0.476946 1.03500i
\(573\) −17.2897 22.4111i −0.722287 0.936237i
\(574\) 0.0290809 + 0.184356i 0.00121381 + 0.00769487i
\(575\) 7.59251 + 22.0453i 0.316629 + 0.919351i
\(576\) −141.307 135.249i −5.88780 5.63536i
\(577\) 8.63993 38.8125i 0.359685 1.61579i −0.367967 0.929839i \(-0.619946\pi\)
0.727652 0.685947i \(-0.240612\pi\)
\(578\) 13.5155 54.2720i 0.562171 2.25742i
\(579\) −52.0097 + 11.2366i −2.16145 + 0.466976i
\(580\) 0.0462263 2.46190i 0.00191944 0.102225i
\(581\) 0.687889 0.104102i 0.0285384 0.00431888i
\(582\) 5.48514 + 97.2835i 0.227366 + 4.03253i
\(583\) −2.04781 + 19.1757i −0.0848117 + 0.794178i
\(584\) −146.539 43.3902i −6.06383 1.79550i
\(585\) 5.03522 2.67368i 0.208181 0.110543i
\(586\) −6.65173 12.7184i −0.274780 0.525393i
\(587\) −16.2333 + 2.87401i −0.670020 + 0.118623i −0.498943 0.866635i \(-0.666278\pi\)
−0.171077 + 0.985258i \(0.554725\pi\)
\(588\) 17.8281 113.020i 0.735217 4.66085i
\(589\) 32.5268 17.7970i 1.34024 0.733314i
\(590\) 3.54683 + 5.24579i 0.146021 + 0.215966i
\(591\) −3.62616 + 3.64892i −0.149160 + 0.150097i
\(592\) −4.63114 17.6514i −0.190339 0.725466i
\(593\) −1.68123 1.49233i −0.0690398 0.0612827i 0.628616 0.777716i \(-0.283622\pi\)
−0.697655 + 0.716433i \(0.745773\pi\)
\(594\) 0.237892 38.0127i 0.00976084 1.55968i
\(595\) −0.297231 0.157829i −0.0121853 0.00647035i
\(596\) 53.1501 + 52.1615i 2.17711 + 2.13662i
\(597\) −3.11927 3.55872i −0.127663 0.145649i
\(598\) −27.3023 + 24.2346i −1.11647 + 0.991029i
\(599\) −35.0134 23.3556i −1.43061 0.954285i −0.998626 0.0524034i \(-0.983312\pi\)
−0.431984 0.901881i \(-0.642186\pi\)
\(600\) 32.3209 + 137.081i 1.31950 + 5.59629i
\(601\) −0.358441 19.0897i −0.0146211 0.778685i −0.928212 0.372051i \(-0.878655\pi\)
0.913591 0.406634i \(-0.133298\pi\)
\(602\) −0.566099 3.31835i −0.0230725 0.135246i
\(603\) 21.3106 + 49.4666i 0.867835 + 2.01444i
\(604\) 69.8986 27.5535i 2.84414 1.12113i
\(605\) 2.30276 + 1.70854i 0.0936205 + 0.0694621i
\(606\) 83.2192 16.8920i 3.38055 0.686189i
\(607\) 0.235923 0.243423i 0.00957583 0.00988025i −0.713278 0.700881i \(-0.752790\pi\)
0.722854 + 0.691001i \(0.242830\pi\)
\(608\) 103.471 85.1201i 4.19631 3.45207i
\(609\) 0.522521 0.140593i 0.0211736 0.00569713i
\(610\) 8.48494 + 0.318750i 0.343545 + 0.0129058i
\(611\) 23.5624 8.94903i 0.953235 0.362039i
\(612\) 132.340 + 140.011i 5.34951 + 5.65963i
\(613\) −6.61270 + 23.9773i −0.267084 + 0.968433i 0.700035 + 0.714109i \(0.253168\pi\)
−0.967119 + 0.254325i \(0.918147\pi\)
\(614\) 47.7561 + 9.07281i 1.92728 + 0.366149i
\(615\) 0.324969 0.352545i 0.0131040 0.0142160i
\(616\) −1.15978 2.35955i −0.0467288 0.0950688i
\(617\) −0.589748 2.36816i −0.0237424 0.0953384i 0.957320 0.289029i \(-0.0933326\pi\)
−0.981063 + 0.193691i \(0.937954\pi\)
\(618\) −76.8572 + 1.92434i −3.09165 + 0.0774083i
\(619\) −4.91901 1.65977i −0.197712 0.0667119i 0.219110 0.975700i \(-0.429685\pi\)
−0.416822 + 0.908988i \(0.636856\pi\)
\(620\) 2.44328 + 13.3145i 0.0981243 + 0.534721i
\(621\) −35.9277 + 10.6382i −1.44173 + 0.426896i
\(622\) 25.8773 25.3960i 1.03758 1.01829i
\(623\) 1.49670 + 0.112611i 0.0599642 + 0.00451167i
\(624\) −105.106 + 75.9626i −4.20760 + 3.04094i
\(625\) 7.77206 21.6813i 0.310882 0.867253i
\(626\) 21.7822 + 38.0940i 0.870590 + 1.52254i
\(627\) 28.6299 + 3.60224i 1.14337 + 0.143860i
\(628\) 8.81216 + 6.71084i 0.351643 + 0.267792i
\(629\) 1.43658 + 6.85700i 0.0572803 + 0.273406i
\(630\) 0.747284 0.421114i 0.0297725 0.0167776i
\(631\) 28.9394 1.81344i 1.15206 0.0721918i 0.524956 0.851129i \(-0.324082\pi\)
0.627101 + 0.778938i \(0.284241\pi\)
\(632\) 62.6243 + 106.408i 2.49106 + 4.23268i
\(633\) −10.2760 + 39.1663i −0.408433 + 1.55672i
\(634\) 34.4433 22.9754i 1.36792 0.912468i
\(635\) 2.59997 + 2.42688i 0.103177 + 0.0963077i
\(636\) 178.405 15.6709i 7.07420 0.621391i
\(637\) −18.2299 6.40638i −0.722296 0.253830i
\(638\) −3.77783 + 4.53417i −0.149566 + 0.179509i
\(639\) 67.2556 0.841836i 2.66059 0.0333025i
\(640\) 6.15456 + 15.9041i 0.243280 + 0.628666i
\(641\) −16.8264 + 34.2331i −0.664605 + 1.35213i 0.257912 + 0.966168i \(0.416966\pi\)
−0.922517 + 0.385958i \(0.873871\pi\)
\(642\) 92.6701 + 20.0211i 3.65740 + 0.790171i
\(643\) 10.6582 45.2041i 0.420320 1.78267i −0.180804 0.983519i \(-0.557870\pi\)
0.601124 0.799156i \(-0.294720\pi\)
\(644\) −2.95489 + 2.75817i −0.116439 + 0.108687i
\(645\) −5.78133 + 6.43160i −0.227640 + 0.253244i
\(646\) −74.9807 + 55.6322i −2.95008 + 2.18882i
\(647\) −16.0397 + 25.7564i −0.630585 + 1.01259i 0.366048 + 0.930596i \(0.380711\pi\)
−0.996633 + 0.0819943i \(0.973871\pi\)
\(648\) −58.3711 + 11.0895i −2.29303 + 0.435635i
\(649\) 0.907676 11.1322i 0.0356294 0.436978i
\(650\) 37.0518 1.85656i 1.45329 0.0728203i
\(651\) −2.66141 + 1.32890i −0.104309 + 0.0520836i
\(652\) −47.4956 + 74.1827i −1.86007 + 2.90522i
\(653\) 6.11871 2.86616i 0.239444 0.112162i −0.300748 0.953704i \(-0.597236\pi\)
0.540191 + 0.841542i \(0.318352\pi\)
\(654\) −42.0156 63.8494i −1.64294 2.49671i
\(655\) −1.22585 0.982973i −0.0478979 0.0384079i
\(656\) −4.06588 + 5.85421i −0.158746 + 0.228568i
\(657\) −69.2942 + 54.1541i −2.70343 + 2.11275i
\(658\) 3.51035 1.43477i 0.136848 0.0559332i
\(659\) −33.9538 30.9073i −1.32265 1.20398i −0.962563 0.271059i \(-0.912626\pi\)
−0.360091 0.932917i \(-0.617254\pi\)
\(660\) −4.52852 + 9.51211i −0.176273 + 0.370259i
\(661\) 0.677117 0.616362i 0.0263368 0.0239737i −0.659876 0.751374i \(-0.729391\pi\)
0.686213 + 0.727401i \(0.259272\pi\)
\(662\) −6.48689 21.4146i −0.252120 0.832301i
\(663\) 41.7599 27.1068i 1.62182 1.05274i
\(664\) 36.9460 + 26.0041i 1.43378 + 1.00915i
\(665\) 0.117509 + 0.282440i 0.00455679 + 0.0109526i
\(666\) −16.6933 6.34012i −0.646851 0.245675i
\(667\) 5.35692 + 2.26816i 0.207421 + 0.0878237i
\(668\) −29.4503 7.13866i −1.13947 0.276203i
\(669\) −21.8496 + 50.7178i −0.844756 + 1.96086i
\(670\) 0.298147 9.52517i 0.0115184 0.367989i
\(671\) −11.3241 9.80113i −0.437163 0.378368i
\(672\) −8.55210 + 6.51279i −0.329905 + 0.251237i
\(673\) −4.96826 + 2.88226i −0.191513 + 0.111103i −0.594477 0.804112i \(-0.702641\pi\)
0.402965 + 0.915215i \(0.367980\pi\)
\(674\) −9.43233 + 2.66497i −0.363320 + 0.102651i
\(675\) 35.2465 + 14.4061i 1.35664 + 0.554492i
\(676\) −12.7687 26.8204i −0.491102 1.03155i
\(677\) −1.58466 + 5.23129i −0.0609035 + 0.201055i −0.982211 0.187779i \(-0.939871\pi\)
0.921308 + 0.388834i \(0.127122\pi\)
\(678\) 40.0572 + 138.460i 1.53839 + 5.31751i
\(679\) 1.81287 + 0.182133i 0.0695716 + 0.00698961i
\(680\) −6.85739 20.7508i −0.262969 0.795756i
\(681\) −25.8445 + 35.2924i −0.990363 + 1.35241i
\(682\) 15.3951 28.5600i 0.589510 1.09362i
\(683\) 1.48197 33.8079i 0.0567061 1.29362i −0.733038 0.680187i \(-0.761898\pi\)
0.789744 0.613436i \(-0.210213\pi\)
\(684\) −12.0460 174.710i −0.460591 6.68021i
\(685\) −4.63774 + 3.71887i −0.177199 + 0.142091i
\(686\) −5.54131 1.79282i −0.211568 0.0684500i
\(687\) −3.59400 18.2925i −0.137120 0.697902i
\(688\) 72.0078 106.500i 2.74527 4.06028i
\(689\) 2.83501 30.1119i 0.108005 1.14717i
\(690\) 13.9521 + 2.11144i 0.531146 + 0.0803812i
\(691\) −4.12726 + 24.1931i −0.157008 + 0.920347i 0.793253 + 0.608892i \(0.208386\pi\)
−0.950261 + 0.311455i \(0.899184\pi\)
\(692\) 69.9980 16.9673i 2.66092 0.644999i
\(693\) −1.49298 0.245092i −0.0567136 0.00931029i
\(694\) −4.18190 + 74.1695i −0.158743 + 2.81544i
\(695\) 0.320584 + 3.40507i 0.0121604 + 0.129162i
\(696\) 30.8265 + 16.8667i 1.16848 + 0.639331i
\(697\) 1.67145 2.16655i 0.0633106 0.0820640i
\(698\) −50.0240 11.4647i −1.89344 0.433946i
\(699\) −6.31784 + 5.33131i −0.238963 + 0.201649i
\(700\) 4.09608 0.308186i 0.154817 0.0116483i
\(701\) 9.53014 10.8728i 0.359948 0.410659i −0.543463 0.839433i \(-0.682887\pi\)
0.903412 + 0.428775i \(0.141055\pi\)
\(702\) 0.373096 + 59.6168i 0.0140816 + 2.25009i
\(703\) 2.95135 5.64312i 0.111312 0.212834i
\(704\) 18.4268 58.1952i 0.694485 2.19331i
\(705\) −8.48749 4.78292i −0.319657 0.180135i
\(706\) −69.8626 33.7981i −2.62931 1.27201i
\(707\) −0.0695370 1.58633i −0.00261521 0.0596601i
\(708\) −103.067 + 11.6595i −3.87350 + 0.438192i
\(709\) 9.09340 + 7.48064i 0.341510 + 0.280941i 0.790331 0.612681i \(-0.209909\pi\)
−0.448821 + 0.893622i \(0.648156\pi\)
\(710\) −10.8392 4.91286i −0.406786 0.184376i
\(711\) 70.7777 + 6.21704i 2.65437 + 0.233157i
\(712\) 65.1597 + 72.4888i 2.44196 + 2.71663i
\(713\) −31.3417 6.36179i −1.17376 0.238251i
\(714\) 6.17908 4.23444i 0.231246 0.158470i
\(715\) 1.44199 + 1.04216i 0.0539274 + 0.0389747i
\(716\) −78.4394 66.1911i −2.93142 2.47368i
\(717\) −37.6886 50.1377i −1.40751 1.87243i
\(718\) −24.4617 + 3.07779i −0.912904 + 0.114862i
\(719\) 1.85956 + 1.07879i 0.0693498 + 0.0402322i 0.536077 0.844169i \(-0.319906\pi\)
−0.466727 + 0.884401i \(0.654567\pi\)
\(720\) 31.7373 + 8.11490i 1.18278 + 0.302424i
\(721\) −0.188389 + 1.42521i −0.00701596 + 0.0530776i
\(722\) 32.5409 + 1.63053i 1.21105 + 0.0606821i
\(723\) −10.9336 + 4.79162i −0.406624 + 0.178202i
\(724\) −35.6009 4.93271i −1.32310 0.183323i
\(725\) −2.80505 5.20373i −0.104177 0.193262i
\(726\) −57.4530 + 27.7946i −2.13228 + 1.03155i
\(727\) −31.2846 1.96040i −1.16028 0.0727072i −0.529252 0.848465i \(-0.677527\pi\)
−0.631031 + 0.775758i \(0.717368\pi\)
\(728\) 1.86510 + 3.67752i 0.0691252 + 0.136298i
\(729\) 14.5906 31.6624i 0.540391 1.17268i
\(730\) 15.1670 3.47605i 0.561358 0.128654i
\(731\) −29.6559 + 39.4517i −1.09686 + 1.45917i
\(732\) −69.0382 + 120.738i −2.55172 + 4.46261i
\(733\) −30.8739 36.1257i −1.14035 1.33433i −0.934587 0.355733i \(-0.884231\pi\)
−0.205765 0.978602i \(-0.565968\pi\)
\(734\) 10.1603 + 12.1945i 0.375025 + 0.450107i
\(735\) 2.60811 + 6.99870i 0.0962017 + 0.258151i
\(736\) −115.558 1.44644i −4.25954 0.0533164i
\(737\) −10.9206 + 12.7783i −0.402265 + 0.470694i
\(738\) 2.35349 + 6.56542i 0.0866332 + 0.241677i
\(739\) 24.1794 + 16.5698i 0.889455 + 0.609532i 0.920825 0.389976i \(-0.127517\pi\)
−0.0313696 + 0.999508i \(0.509987\pi\)
\(740\) 1.61813 + 1.66957i 0.0594836 + 0.0613747i
\(741\) −44.9687 5.08711i −1.65196 0.186880i
\(742\) 0.313016 4.53985i 0.0114912 0.166663i
\(743\) −23.6243 34.0151i −0.866690 1.24789i −0.967471 0.252983i \(-0.918588\pi\)
0.100781 0.994909i \(-0.467866\pi\)
\(744\) −184.528 57.1604i −6.76513 2.09560i
\(745\) −4.69425 1.26307i −0.171984 0.0462753i
\(746\) 62.3519 28.2611i 2.28287 1.03471i
\(747\) 24.5283 8.61978i 0.897445 0.315381i
\(748\) −20.9952 + 56.3392i −0.767661 + 2.05997i
\(749\) 0.639808 1.65334i 0.0233781 0.0604118i
\(750\) −19.7021 21.3739i −0.719420 0.780466i
\(751\) −21.1886 34.0246i −0.773183 1.24157i −0.965542 0.260249i \(-0.916195\pi\)
0.192359 0.981325i \(-0.438386\pi\)
\(752\) 134.736 + 53.1118i 4.91332 + 1.93679i
\(753\) −0.0366029 1.16938i −0.00133388 0.0426147i
\(754\) 5.83546 7.18472i 0.212515 0.261652i
\(755\) −3.09208 + 3.80702i −0.112532 + 0.138551i
\(756\) 0.206520 + 6.59788i 0.00751107 + 0.239963i
\(757\) −14.4951 5.71384i −0.526832 0.207673i 0.0883041 0.996094i \(-0.471855\pi\)
−0.615136 + 0.788421i \(0.710899\pi\)
\(758\) −8.81087 14.1485i −0.320025 0.513895i
\(759\) −16.8691 18.3006i −0.612311 0.664268i
\(760\) −7.16947 + 18.5268i −0.260064 + 0.672037i
\(761\) 7.50676 20.1439i 0.272120 0.730216i −0.726933 0.686708i \(-0.759055\pi\)
0.999053 0.0435078i \(-0.0138533\pi\)
\(762\) −74.6872 + 26.2467i −2.70563 + 0.950816i
\(763\) −1.30176 + 0.590023i −0.0471268 + 0.0213603i
\(764\) −51.7690 13.9293i −1.87293 0.503946i
\(765\) −12.0131 3.72123i −0.434333 0.134541i
\(766\) 6.57667 + 9.46934i 0.237625 + 0.342141i
\(767\) −1.20492 + 17.4755i −0.0435070 + 0.631005i
\(768\) −175.031 19.8005i −6.31588 0.714489i
\(769\) −26.1963 27.0291i −0.944664 0.974696i 0.0550526 0.998483i \(-0.482467\pi\)
−0.999717 + 0.0237875i \(0.992428\pi\)
\(770\) 0.220816 + 0.151322i 0.00795767 + 0.00545328i
\(771\) 0.744500 + 2.07689i 0.0268125 + 0.0747975i
\(772\) −65.4747 + 76.6125i −2.35649 + 2.75735i
\(773\) 3.87826 + 0.0485440i