Properties

Label 804.2.bd.a.23.13
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.13
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33755 + 0.459299i) q^{2} +(1.70511 - 0.304307i) q^{3} +(1.57809 - 1.22867i) q^{4} +(-2.29127 + 1.04639i) q^{5} +(-2.14090 + 1.19018i) q^{6} +(-0.382733 - 0.401398i) q^{7} +(-1.54645 + 2.36823i) q^{8} +(2.81479 - 1.03775i) q^{9} +O(q^{10})\) \(q+(-1.33755 + 0.459299i) q^{2} +(1.70511 - 0.304307i) q^{3} +(1.57809 - 1.22867i) q^{4} +(-2.29127 + 1.04639i) q^{5} +(-2.14090 + 1.19018i) q^{6} +(-0.382733 - 0.401398i) q^{7} +(-1.54645 + 2.36823i) q^{8} +(2.81479 - 1.03775i) q^{9} +(2.58409 - 2.45198i) q^{10} +(3.69354 + 0.352690i) q^{11} +(2.31692 - 2.57524i) q^{12} +(-1.78432 - 0.343899i) q^{13} +(0.696287 + 0.361102i) q^{14} +(-3.58844 + 2.48146i) q^{15} +(0.980730 - 3.87791i) q^{16} +(1.28775 - 2.49788i) q^{17} +(-3.28829 + 2.68088i) q^{18} +(1.63406 - 1.71376i) q^{19} +(-2.33016 + 4.46652i) q^{20} +(-0.774749 - 0.567960i) q^{21} +(-5.10229 + 1.22470i) q^{22} +(3.38982 - 1.35708i) q^{23} +(-1.91619 + 4.50868i) q^{24} +(0.880693 - 1.01637i) q^{25} +(2.54457 - 0.359553i) q^{26} +(4.48373 - 2.62605i) q^{27} +(-1.09717 - 0.163190i) q^{28} +(1.80736 + 1.04348i) q^{29} +(3.66000 - 4.96725i) q^{30} +(1.19828 + 6.21724i) q^{31} +(0.469342 + 5.63735i) q^{32} +(6.40521 - 0.522596i) q^{33} +(-0.575153 + 3.93250i) q^{34} +(1.29696 + 0.519226i) q^{35} +(3.16694 - 5.09613i) q^{36} +(2.53488 + 4.39054i) q^{37} +(-1.39852 + 3.04276i) q^{38} +(-3.14711 - 0.0434043i) q^{39} +(1.06525 - 7.04444i) q^{40} +(9.71647 - 0.462853i) q^{41} +(1.29713 + 0.403834i) q^{42} +(1.51606 + 2.35904i) q^{43} +(6.26207 - 3.98157i) q^{44} +(-5.36356 + 5.32315i) q^{45} +(-3.91076 + 3.37211i) q^{46} +(2.11981 + 1.66704i) q^{47} +(0.492175 - 6.91070i) q^{48} +(0.318437 - 6.68481i) q^{49} +(-0.711153 + 1.76395i) q^{50} +(1.43562 - 4.65102i) q^{51} +(-3.23835 + 1.64964i) q^{52} +(1.46092 - 2.27324i) q^{53} +(-4.79109 + 5.57185i) q^{54} +(-8.83195 + 3.05677i) q^{55} +(1.54248 - 0.285656i) q^{56} +(2.26475 - 3.41940i) q^{57} +(-2.89671 - 0.565590i) q^{58} +(-5.90144 - 6.81062i) q^{59} +(-2.61399 + 8.32498i) q^{60} +(12.4227 - 1.18622i) q^{61} +(-4.45833 - 7.76552i) q^{62} +(-1.49387 - 0.732671i) q^{63} +(-3.21700 - 7.32468i) q^{64} +(4.44821 - 1.07912i) q^{65} +(-8.32727 + 3.64091i) q^{66} +(-7.02019 - 4.20915i) q^{67} +(-1.03690 - 5.52409i) q^{68} +(5.36705 - 3.34552i) q^{69} +(-1.97324 - 0.0987974i) q^{70} +(-10.5094 + 5.41795i) q^{71} +(-1.89529 + 8.27090i) q^{72} +(1.20612 - 0.115171i) q^{73} +(-5.40711 - 4.70831i) q^{74} +(1.19239 - 2.00103i) q^{75} +(0.473053 - 4.71219i) q^{76} +(-1.27207 - 1.61757i) q^{77} +(4.22936 - 1.38741i) q^{78} +(9.81221 - 3.39604i) q^{79} +(1.81068 + 9.91157i) q^{80} +(6.84613 - 5.84213i) q^{81} +(-12.7837 + 5.08186i) q^{82} +(-4.24506 + 5.96136i) q^{83} +(-1.92046 + 0.0556220i) q^{84} +(-0.336824 + 7.07080i) q^{85} +(-3.11132 - 2.45901i) q^{86} +(3.39929 + 1.22926i) q^{87} +(-6.54711 + 8.20172i) q^{88} +(10.4511 - 1.50264i) q^{89} +(4.72913 - 9.58346i) q^{90} +(0.544876 + 0.847844i) q^{91} +(3.68204 - 6.30658i) q^{92} +(3.93514 + 10.2364i) q^{93} +(-3.60103 - 1.25612i) q^{94} +(-1.95083 + 5.63655i) q^{95} +(2.51577 + 9.46947i) q^{96} +(2.46443 + 4.26851i) q^{97} +(2.64440 + 9.08754i) q^{98} +(10.7626 - 2.84024i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33755 + 0.459299i −0.945792 + 0.324773i
\(3\) 1.70511 0.304307i 0.984445 0.175692i
\(4\) 1.57809 1.22867i 0.789044 0.614336i
\(5\) −2.29127 + 1.04639i −1.02469 + 0.467959i −0.855598 0.517641i \(-0.826810\pi\)
−0.169090 + 0.985601i \(0.554083\pi\)
\(6\) −2.14090 + 1.19018i −0.874020 + 0.485890i
\(7\) −0.382733 0.401398i −0.144659 0.151714i 0.647418 0.762135i \(-0.275849\pi\)
−0.792077 + 0.610421i \(0.791000\pi\)
\(8\) −1.54645 + 2.36823i −0.546752 + 0.837295i
\(9\) 2.81479 1.03775i 0.938265 0.345918i
\(10\) 2.58409 2.45198i 0.817161 0.775383i
\(11\) 3.69354 + 0.352690i 1.11364 + 0.106340i 0.635616 0.772005i \(-0.280746\pi\)
0.478027 + 0.878345i \(0.341352\pi\)
\(12\) 2.31692 2.57524i 0.668837 0.743409i
\(13\) −1.78432 0.343899i −0.494881 0.0953805i −0.0642966 0.997931i \(-0.520480\pi\)
−0.430584 + 0.902550i \(0.641693\pi\)
\(14\) 0.696287 + 0.361102i 0.186090 + 0.0965087i
\(15\) −3.58844 + 2.48146i −0.926532 + 0.640710i
\(16\) 0.980730 3.87791i 0.245182 0.969477i
\(17\) 1.28775 2.49788i 0.312324 0.605824i −0.679465 0.733708i \(-0.737788\pi\)
0.991789 + 0.127884i \(0.0408184\pi\)
\(18\) −3.28829 + 2.68088i −0.775058 + 0.631890i
\(19\) 1.63406 1.71376i 0.374880 0.393163i −0.509085 0.860716i \(-0.670016\pi\)
0.883965 + 0.467554i \(0.154865\pi\)
\(20\) −2.33016 + 4.46652i −0.521040 + 0.998743i
\(21\) −0.774749 0.567960i −0.169064 0.123939i
\(22\) −5.10229 + 1.22470i −1.08781 + 0.261106i
\(23\) 3.38982 1.35708i 0.706827 0.282971i 0.00973519 0.999953i \(-0.496901\pi\)
0.697092 + 0.716982i \(0.254477\pi\)
\(24\) −1.91619 + 4.50868i −0.391141 + 0.920331i
\(25\) 0.880693 1.01637i 0.176139 0.203275i
\(26\) 2.54457 0.359553i 0.499031 0.0705141i
\(27\) 4.48373 2.62605i 0.862895 0.505383i
\(28\) −1.09717 0.163190i −0.207346 0.0308399i
\(29\) 1.80736 + 1.04348i 0.335619 + 0.193770i 0.658333 0.752727i \(-0.271262\pi\)
−0.322714 + 0.946496i \(0.604595\pi\)
\(30\) 3.66000 4.96725i 0.668221 0.906891i
\(31\) 1.19828 + 6.21724i 0.215217 + 1.11665i 0.915357 + 0.402644i \(0.131909\pi\)
−0.700140 + 0.714006i \(0.746879\pi\)
\(32\) 0.469342 + 5.63735i 0.0829688 + 0.996552i
\(33\) 6.40521 0.522596i 1.11500 0.0909723i
\(34\) −0.575153 + 3.93250i −0.0986380 + 0.674418i
\(35\) 1.29696 + 0.519226i 0.219227 + 0.0877652i
\(36\) 3.16694 5.09613i 0.527823 0.849355i
\(37\) 2.53488 + 4.39054i 0.416732 + 0.721801i 0.995609 0.0936142i \(-0.0298420\pi\)
−0.578877 + 0.815415i \(0.696509\pi\)
\(38\) −1.39852 + 3.04276i −0.226870 + 0.493601i
\(39\) −3.14711 0.0434043i −0.503941 0.00695025i
\(40\) 1.06525 7.04444i 0.168430 1.11382i
\(41\) 9.71647 0.462853i 1.51746 0.0722855i 0.727782 0.685809i \(-0.240551\pi\)
0.789677 + 0.613523i \(0.210248\pi\)
\(42\) 1.29713 + 0.403834i 0.200152 + 0.0623129i
\(43\) 1.51606 + 2.35904i 0.231197 + 0.359750i 0.937397 0.348263i \(-0.113228\pi\)
−0.706200 + 0.708013i \(0.749592\pi\)
\(44\) 6.26207 3.98157i 0.944043 0.600244i
\(45\) −5.36356 + 5.32315i −0.799553 + 0.793528i
\(46\) −3.91076 + 3.37211i −0.576610 + 0.497190i
\(47\) 2.11981 + 1.66704i 0.309206 + 0.243162i 0.760688 0.649118i \(-0.224862\pi\)
−0.451482 + 0.892280i \(0.649104\pi\)
\(48\) 0.492175 6.91070i 0.0710393 0.997474i
\(49\) 0.318437 6.68481i 0.0454910 0.954974i
\(50\) −0.711153 + 1.76395i −0.100572 + 0.249461i
\(51\) 1.43562 4.65102i 0.201028 0.651274i
\(52\) −3.23835 + 1.64964i −0.449079 + 0.228764i
\(53\) 1.46092 2.27324i 0.200673 0.312253i −0.726303 0.687375i \(-0.758763\pi\)
0.926975 + 0.375122i \(0.122399\pi\)
\(54\) −4.79109 + 5.57185i −0.651984 + 0.758233i
\(55\) −8.83195 + 3.05677i −1.19090 + 0.412174i
\(56\) 1.54248 0.285656i 0.206122 0.0381724i
\(57\) 2.26475 3.41940i 0.299973 0.452911i
\(58\) −2.89671 0.565590i −0.380357 0.0742657i
\(59\) −5.90144 6.81062i −0.768301 0.886667i 0.227905 0.973683i \(-0.426812\pi\)
−0.996207 + 0.0870161i \(0.972267\pi\)
\(60\) −2.61399 + 8.32498i −0.337464 + 1.07475i
\(61\) 12.4227 1.18622i 1.59056 0.151880i 0.738109 0.674682i \(-0.235719\pi\)
0.852454 + 0.522801i \(0.175113\pi\)
\(62\) −4.45833 7.76552i −0.566208 0.986222i
\(63\) −1.49387 0.732671i −0.188210 0.0923079i
\(64\) −3.21700 7.32468i −0.402125 0.915585i
\(65\) 4.44821 1.07912i 0.551733 0.133849i
\(66\) −8.32727 + 3.64091i −1.02502 + 0.448165i
\(67\) −7.02019 4.20915i −0.857652 0.514230i
\(68\) −1.03690 5.52409i −0.125742 0.669894i
\(69\) 5.36705 3.34552i 0.646117 0.402753i
\(70\) −1.97324 0.0987974i −0.235847 0.0118086i
\(71\) −10.5094 + 5.41795i −1.24723 + 0.642993i −0.950130 0.311853i \(-0.899050\pi\)
−0.297101 + 0.954846i \(0.596020\pi\)
\(72\) −1.89529 + 8.27090i −0.223362 + 0.974735i
\(73\) 1.20612 0.115171i 0.141166 0.0134797i −0.0242337 0.999706i \(-0.507715\pi\)
0.165400 + 0.986227i \(0.447109\pi\)
\(74\) −5.40711 4.70831i −0.628564 0.547330i
\(75\) 1.19239 2.00103i 0.137685 0.231059i
\(76\) 0.473053 4.71219i 0.0542629 0.540525i
\(77\) −1.27207 1.61757i −0.144966 0.184339i
\(78\) 4.22936 1.38741i 0.478880 0.157093i
\(79\) 9.81221 3.39604i 1.10396 0.382084i 0.286506 0.958078i \(-0.407506\pi\)
0.817454 + 0.575994i \(0.195385\pi\)
\(80\) 1.81068 + 9.91157i 0.202440 + 1.10815i
\(81\) 6.84613 5.84213i 0.760681 0.649126i
\(82\) −12.7837 + 5.08186i −1.41172 + 0.561197i
\(83\) −4.24506 + 5.96136i −0.465956 + 0.654344i −0.978962 0.204041i \(-0.934592\pi\)
0.513006 + 0.858385i \(0.328532\pi\)
\(84\) −1.92046 + 0.0556220i −0.209539 + 0.00606886i
\(85\) −0.336824 + 7.07080i −0.0365337 + 0.766936i
\(86\) −3.11132 2.45901i −0.335502 0.265162i
\(87\) 3.39929 + 1.22926i 0.364442 + 0.131790i
\(88\) −6.54711 + 8.20172i −0.697925 + 0.874306i
\(89\) 10.4511 1.50264i 1.10781 0.159279i 0.435961 0.899965i \(-0.356408\pi\)
0.671851 + 0.740686i \(0.265499\pi\)
\(90\) 4.72913 9.58346i 0.498494 1.01019i
\(91\) 0.544876 + 0.847844i 0.0571186 + 0.0888782i
\(92\) 3.68204 6.30658i 0.383879 0.657506i
\(93\) 3.93514 + 10.2364i 0.408055 + 1.06147i
\(94\) −3.60103 1.25612i −0.371417 0.129559i
\(95\) −1.95083 + 5.63655i −0.200151 + 0.578298i
\(96\) 2.51577 + 9.46947i 0.256764 + 0.966474i
\(97\) 2.46443 + 4.26851i 0.250225 + 0.433402i 0.963588 0.267393i \(-0.0861622\pi\)
−0.713363 + 0.700795i \(0.752829\pi\)
\(98\) 2.64440 + 9.08754i 0.267125 + 0.917980i
\(99\) 10.7626 2.84024i 1.08168 0.285454i
\(100\) 0.141022 2.68601i 0.0141022 0.268601i
\(101\) −2.75260 0.667773i −0.273894 0.0664459i 0.0964594 0.995337i \(-0.469248\pi\)
−0.370353 + 0.928891i \(0.620763\pi\)
\(102\) 0.215990 + 6.88037i 0.0213862 + 0.681258i
\(103\) −0.282492 1.46571i −0.0278348 0.144421i 0.965353 0.260949i \(-0.0840355\pi\)
−0.993187 + 0.116528i \(0.962823\pi\)
\(104\) 3.57379 3.69385i 0.350439 0.362212i
\(105\) 2.36947 + 0.490661i 0.231236 + 0.0478836i
\(106\) −0.909962 + 3.71157i −0.0883833 + 0.360500i
\(107\) −1.89962 + 4.15960i −0.183644 + 0.402124i −0.978955 0.204078i \(-0.934580\pi\)
0.795311 + 0.606202i \(0.207308\pi\)
\(108\) 3.84918 9.65318i 0.370388 0.928877i
\(109\) 0.421620 0.486575i 0.0403839 0.0466055i −0.735198 0.677852i \(-0.762911\pi\)
0.775582 + 0.631247i \(0.217456\pi\)
\(110\) 10.4092 8.14509i 0.992480 0.776604i
\(111\) 5.65833 + 6.71497i 0.537064 + 0.637357i
\(112\) −1.93194 + 1.09054i −0.182551 + 0.103046i
\(113\) 4.80201 3.41949i 0.451735 0.321679i −0.331445 0.943475i \(-0.607536\pi\)
0.783179 + 0.621796i \(0.213597\pi\)
\(114\) −1.45869 + 5.61382i −0.136619 + 0.525782i
\(115\) −6.34697 + 6.65651i −0.591858 + 0.620723i
\(116\) 4.13428 0.573950i 0.383858 0.0532899i
\(117\) −5.37937 + 0.883680i −0.497323 + 0.0816962i
\(118\) 11.0216 + 6.39903i 1.01462 + 0.589079i
\(119\) −1.49551 + 0.439120i −0.137093 + 0.0402541i
\(120\) −0.327314 12.3357i −0.0298795 1.12609i
\(121\) 2.71662 + 0.523585i 0.246965 + 0.0475986i
\(122\) −16.0712 + 7.29237i −1.45501 + 0.660220i
\(123\) 16.4268 3.74601i 1.48115 0.337766i
\(124\) 9.52994 + 8.33908i 0.855814 + 0.748871i
\(125\) 2.59390 8.83400i 0.232005 0.790137i
\(126\) 2.33464 + 0.293854i 0.207986 + 0.0261786i
\(127\) −7.80220 8.18271i −0.692333 0.726098i 0.279921 0.960023i \(-0.409692\pi\)
−0.972255 + 0.233924i \(0.924843\pi\)
\(128\) 7.66712 + 8.31957i 0.677684 + 0.735353i
\(129\) 3.30293 + 3.56107i 0.290806 + 0.313535i
\(130\) −5.45407 + 3.48644i −0.478354 + 0.305781i
\(131\) −1.76116 + 12.2491i −0.153873 + 1.07021i 0.755776 + 0.654831i \(0.227260\pi\)
−0.909649 + 0.415379i \(0.863649\pi\)
\(132\) 9.46589 8.69461i 0.823900 0.756768i
\(133\) −1.31331 −0.113878
\(134\) 11.3231 + 2.40560i 0.978169 + 0.207812i
\(135\) −7.52559 + 10.7087i −0.647699 + 0.921660i
\(136\) 3.92411 + 6.91251i 0.336490 + 0.592743i
\(137\) −6.23893 0.897022i −0.533028 0.0766378i −0.129455 0.991585i \(-0.541323\pi\)
−0.403573 + 0.914948i \(0.632232\pi\)
\(138\) −5.64211 + 6.93989i −0.480289 + 0.590762i
\(139\) 1.10489 0.504586i 0.0937154 0.0427984i −0.368006 0.929824i \(-0.619959\pi\)
0.461721 + 0.887025i \(0.347232\pi\)
\(140\) 2.68468 0.774158i 0.226897 0.0654283i
\(141\) 4.12180 + 2.19741i 0.347118 + 0.185055i
\(142\) 11.5684 12.0737i 0.970795 1.01320i
\(143\) −6.46916 1.89952i −0.540978 0.158846i
\(144\) −1.26377 11.9333i −0.105314 0.994439i
\(145\) −5.23305 0.499695i −0.434581 0.0414974i
\(146\) −1.56036 + 0.708019i −0.129136 + 0.0585960i
\(147\) −1.49127 11.4952i −0.122998 0.948112i
\(148\) 9.39481 + 3.81413i 0.772249 + 0.313520i
\(149\) 3.17899 + 10.8266i 0.260433 + 0.886953i 0.981072 + 0.193643i \(0.0620303\pi\)
−0.720639 + 0.693310i \(0.756152\pi\)
\(150\) −0.675809 + 3.22414i −0.0551796 + 0.263250i
\(151\) −4.30316 + 8.34696i −0.350186 + 0.679266i −0.996481 0.0838219i \(-0.973287\pi\)
0.646295 + 0.763088i \(0.276318\pi\)
\(152\) 1.53157 + 6.52007i 0.124227 + 0.528847i
\(153\) 1.03255 8.36737i 0.0834770 0.676462i
\(154\) 2.44440 + 1.57932i 0.196976 + 0.127265i
\(155\) −9.25123 12.9915i −0.743077 1.04351i
\(156\) −5.01975 + 3.79827i −0.401901 + 0.304105i
\(157\) −20.0628 + 8.03193i −1.60119 + 0.641018i −0.988760 0.149510i \(-0.952230\pi\)
−0.612426 + 0.790528i \(0.709806\pi\)
\(158\) −11.5645 + 9.04912i −0.920026 + 0.719909i
\(159\) 1.79927 4.32069i 0.142691 0.342653i
\(160\) −6.97425 12.4256i −0.551363 0.982329i
\(161\) −1.84213 0.841271i −0.145180 0.0663014i
\(162\) −6.47377 + 10.9586i −0.508627 + 0.860987i
\(163\) −19.1731 11.0696i −1.50175 0.867036i −0.999998 0.00202570i \(-0.999355\pi\)
−0.501753 0.865011i \(1.33269\pi\)
\(164\) 14.7648 12.6688i 1.15293 0.989266i
\(165\) −14.1292 + 7.89975i −1.09996 + 0.614995i
\(166\) 2.93995 9.92338i 0.228184 0.770204i
\(167\) −0.136417 + 0.562318i −0.0105563 + 0.0435135i −0.976846 0.213943i \(-0.931369\pi\)
0.966290 + 0.257457i \(0.0828844\pi\)
\(168\) 2.54317 0.956462i 0.196210 0.0737927i
\(169\) −9.00326 3.60436i −0.692558 0.277258i
\(170\) −2.79709 9.61226i −0.214527 0.737227i
\(171\) 2.82109 6.51963i 0.215734 0.498569i
\(172\) 5.29097 + 1.86003i 0.403433 + 0.141826i
\(173\) −16.4853 5.70563i −1.25336 0.433791i −0.381873 0.924215i \(-0.624721\pi\)
−0.871484 + 0.490423i \(0.836842\pi\)
\(174\) −5.11132 0.0829028i −0.387488 0.00628485i
\(175\) −0.745041 + 0.0354907i −0.0563198 + 0.00268284i
\(176\) 4.99006 13.9773i 0.376140 1.05358i
\(177\) −12.1351 9.81700i −0.912131 0.737891i
\(178\) −13.2887 + 6.81003i −0.996031 + 0.510433i
\(179\) 1.70940 + 11.8891i 0.127767 + 0.888636i 0.948376 + 0.317147i \(0.102725\pi\)
−0.820610 + 0.571489i \(0.806366\pi\)
\(180\) −1.92378 + 14.9905i −0.143390 + 1.11732i
\(181\) −17.2925 13.5990i −1.28534 1.01081i −0.998605 0.0527976i \(-0.983186\pi\)
−0.286739 0.958009i \(-0.592571\pi\)
\(182\) −1.11821 0.883774i −0.0828876 0.0655097i
\(183\) 20.8211 5.80296i 1.53914 0.428967i
\(184\) −2.02831 + 10.1265i −0.149529 + 0.746538i
\(185\) −10.4023 7.40746i −0.764794 0.544607i
\(186\) −9.96504 11.8844i −0.730672 0.871403i
\(187\) 5.63731 8.77183i 0.412241 0.641460i
\(188\) 5.39349 + 0.0261813i 0.393361 + 0.00190947i
\(189\) −2.77016 0.794690i −0.201500 0.0578052i
\(190\) 0.0204731 8.43519i 0.00148527 0.611953i
\(191\) 1.63644 1.28691i 0.118409 0.0931176i −0.557199 0.830379i \(-0.688124\pi\)
0.675607 + 0.737262i \(0.263881\pi\)
\(192\) −7.71429 11.5104i −0.556731 0.830693i
\(193\) 3.24327 + 3.74294i 0.233456 + 0.269422i 0.860375 0.509662i \(-0.170230\pi\)
−0.626919 + 0.779085i \(0.715684\pi\)
\(194\) −5.25682 4.57745i −0.377418 0.328642i
\(195\) 7.25630 3.19365i 0.519634 0.228702i
\(196\) −7.71092 10.9405i −0.550780 0.781463i
\(197\) −2.36888 4.59499i −0.168776 0.327379i 0.789245 0.614079i \(-0.210472\pi\)
−0.958021 + 0.286699i \(0.907442\pi\)
\(198\) −13.0910 + 8.74219i −0.930334 + 0.621281i
\(199\) −7.15748 + 1.73639i −0.507381 + 0.123089i −0.481274 0.876570i \(-0.659826\pi\)
−0.0261062 + 0.999659i \(0.508311\pi\)
\(200\) 1.04506 + 3.65745i 0.0738968 + 0.258621i
\(201\) −13.2511 5.04077i −0.934658 0.355549i
\(202\) 3.98845 0.371085i 0.280626 0.0261094i
\(203\) −0.272885 1.12485i −0.0191528 0.0789488i
\(204\) −3.44904 9.10364i −0.241481 0.637382i
\(205\) −21.7788 + 11.2277i −1.52109 + 0.784179i
\(206\) 1.05105 + 1.83071i 0.0732299 + 0.127552i
\(207\) 8.13334 7.33771i 0.565306 0.510006i
\(208\) −3.08354 + 6.58215i −0.213805 + 0.456390i
\(209\) 6.63990 5.75351i 0.459292 0.397978i
\(210\) −3.39465 + 0.432010i −0.234253 + 0.0298115i
\(211\) 8.09823 + 10.2977i 0.557505 + 0.708926i 0.980348 0.197278i \(-0.0632100\pi\)
−0.422842 + 0.906203i \(0.638968\pi\)
\(212\) −0.487600 5.38236i −0.0334885 0.369662i
\(213\) −16.2709 + 12.4363i −1.11486 + 0.852120i
\(214\) 0.630347 6.43617i 0.0430897 0.439968i
\(215\) −5.94218 3.81881i −0.405254 0.260441i
\(216\) −0.714784 + 14.6795i −0.0486349 + 0.998817i
\(217\) 2.03697 2.86053i 0.138279 0.194185i
\(218\) −0.340455 + 0.844469i −0.0230585 + 0.0571947i
\(219\) 2.02153 0.563411i 0.136602 0.0380718i
\(220\) −10.1818 + 15.6754i −0.686459 + 1.05684i
\(221\) −3.15677 + 4.01415i −0.212347 + 0.270021i
\(222\) −10.6525 6.38276i −0.714948 0.428383i
\(223\) 19.6772 2.82915i 1.31768 0.189454i 0.552632 0.833425i \(-0.313623\pi\)
0.765050 + 0.643971i \(0.222714\pi\)
\(224\) 2.08319 2.34599i 0.139189 0.156748i
\(225\) 1.42422 3.77483i 0.0949482 0.251655i
\(226\) −4.85236 + 6.77931i −0.322774 + 0.450953i
\(227\) 1.27040 + 26.6690i 0.0843195 + 1.77009i 0.505232 + 0.862984i \(0.331407\pi\)
−0.420912 + 0.907101i \(0.638290\pi\)
\(228\) −0.627347 8.17875i −0.0415471 0.541651i
\(229\) −0.888025 + 2.56578i −0.0586823 + 0.169551i −0.970532 0.240973i \(-0.922533\pi\)
0.911849 + 0.410525i \(0.134655\pi\)
\(230\) 5.43208 11.8186i 0.358180 0.779295i
\(231\) −2.66125 2.37103i −0.175098 0.156002i
\(232\) −5.26619 + 2.66656i −0.345742 + 0.175068i
\(233\) −9.39412 + 23.4654i −0.615429 + 1.53727i 0.212928 + 0.977068i \(0.431700\pi\)
−0.828357 + 0.560200i \(0.810724\pi\)
\(234\) 6.78932 3.65271i 0.443831 0.238785i
\(235\) −6.60143 1.60149i −0.430630 0.104470i
\(236\) −17.6810 3.49683i −1.15094 0.227625i
\(237\) 15.6975 8.77655i 1.01966 0.570098i
\(238\) 1.79863 1.27423i 0.116588 0.0825961i
\(239\) 8.24252 14.2765i 0.533165 0.923468i −0.466085 0.884740i \(-0.654336\pi\)
0.999250 0.0387283i \(-0.0123307\pi\)
\(240\) 6.10357 + 16.3493i 0.393984 + 1.05534i
\(241\) 7.20366 15.7738i 0.464029 1.01608i −0.522522 0.852626i \(-0.675009\pi\)
0.986551 0.163455i \(-0.0522640\pi\)
\(242\) −3.87410 + 0.547417i −0.249036 + 0.0351893i
\(243\) 9.89560 12.0448i 0.634803 0.772674i
\(244\) 18.1466 17.1354i 1.16172 1.09698i
\(245\) 6.26529 + 15.6499i 0.400275 + 0.999838i
\(246\) −20.2512 + 12.5553i −1.29117 + 0.800496i
\(247\) −3.50505 + 2.49593i −0.223021 + 0.158813i
\(248\) −16.5769 6.77685i −1.05264 0.430331i
\(249\) −5.42421 + 11.4566i −0.343745 + 0.726031i
\(250\) 0.587976 + 13.0073i 0.0371869 + 0.822654i
\(251\) −19.2924 9.94590i −1.21772 0.627780i −0.275028 0.961436i \(-0.588687\pi\)
−0.942695 + 0.333656i \(0.891717\pi\)
\(252\) −3.25767 + 0.679252i −0.205214 + 0.0427888i
\(253\) 12.9991 3.81687i 0.817245 0.239965i
\(254\) 14.1942 + 7.36126i 0.890621 + 0.461887i
\(255\) 1.57738 + 12.1590i 0.0987791 + 0.761425i
\(256\) −14.0763 7.60636i −0.879771 0.475397i
\(257\) 0.414061 4.33624i 0.0258284 0.270487i −0.973328 0.229418i \(-0.926318\pi\)
0.999156 0.0410689i \(-0.0130763\pi\)
\(258\) −6.05343 3.24609i −0.376870 0.202092i
\(259\) 0.792176 2.69790i 0.0492234 0.167639i
\(260\) 5.69378 7.16835i 0.353113 0.444562i
\(261\) 6.17023 + 1.06159i 0.381928 + 0.0657105i
\(262\) −3.27036 17.1927i −0.202044 1.06217i
\(263\) −11.2174 24.5627i −0.691695 1.51460i −0.849759 0.527172i \(-0.823252\pi\)
0.158063 0.987429i \(1.55053\pi\)
\(264\) −8.66770 + 15.9772i −0.533460 + 0.983326i
\(265\) −0.968677 + 6.73729i −0.0595053 + 0.413869i
\(266\) 1.75662 0.603201i 0.107705 0.0369846i
\(267\) 17.3630 5.74251i 1.06260 0.351436i
\(268\) −16.2501 + 1.98309i −0.992636 + 0.121136i
\(269\) 23.0643i 1.40626i −0.711063 0.703129i \(-0.751786\pi\)
0.711063 0.703129i \(-0.248214\pi\)
\(270\) 5.14736 17.7800i 0.313258 1.08205i
\(271\) −30.4980 4.38495i −1.85262 0.266367i −0.876154 0.482031i \(-0.839899\pi\)
−0.976468 + 0.215664i \(0.930808\pi\)
\(272\) −8.42361 7.44350i −0.510756 0.451328i
\(273\) 1.18708 + 1.27986i 0.0718453 + 0.0774605i
\(274\) 8.75689 1.66572i 0.529023 0.100630i
\(275\) 3.61134 3.44340i 0.217772 0.207645i
\(276\) 4.35914 11.8739i 0.262389 0.714723i
\(277\) 22.8807 + 6.71837i 1.37477 + 0.403668i 0.883944 0.467592i \(-0.154878\pi\)
0.490822 + 0.871260i \(0.336697\pi\)
\(278\) −1.24609 + 1.18238i −0.0747355 + 0.0709146i
\(279\) 9.82487 + 16.2567i 0.588200 + 0.973266i
\(280\) −3.23533 + 2.26855i −0.193348 + 0.135572i
\(281\) −1.97978 + 10.2721i −0.118104 + 0.612781i 0.873852 + 0.486193i \(0.161615\pi\)
−0.991955 + 0.126588i \(0.959597\pi\)
\(282\) −6.52239 1.04601i −0.388403 0.0622888i
\(283\) 8.35232 + 28.4454i 0.496494 + 1.69090i 0.701941 + 0.712235i \(0.252317\pi\)
−0.205447 + 0.978668i \(0.565865\pi\)
\(284\) −9.92782 + 21.4626i −0.589108 + 1.27357i
\(285\) −1.61113 + 10.2046i −0.0954352 + 0.604467i
\(286\) 9.52528 0.430576i 0.563242 0.0254605i
\(287\) −3.90460 3.72303i −0.230481 0.219763i
\(288\) 7.17129 + 15.3809i 0.422572 + 0.906329i
\(289\) 5.27986 + 7.41453i 0.310580 + 0.436149i
\(290\) 7.22898 1.73516i 0.424500 0.101892i
\(291\) 5.50106 + 6.52834i 0.322478 + 0.382698i
\(292\) 1.76186 1.66368i 0.103105 0.0973596i
\(293\) −13.0274 11.2883i −0.761067 0.659469i 0.185256 0.982690i \(-0.440689\pi\)
−0.946323 + 0.323222i \(0.895234\pi\)
\(294\) 7.27440 + 14.6905i 0.424252 + 0.856770i
\(295\) 20.6483 + 9.42978i 1.20219 + 0.549023i
\(296\) −14.3179 0.786571i −0.832209 0.0457185i
\(297\) 17.4870 8.11804i 1.01470 0.471056i
\(298\) −9.22473 13.0211i −0.534374 0.754291i
\(299\) −6.51523 + 1.25571i −0.376785 + 0.0726194i
\(300\) −0.576916 4.62286i −0.0333083 0.266901i
\(301\) 0.366668 1.51143i 0.0211344 0.0871172i
\(302\) 1.92194 13.1409i 0.110596 0.756175i
\(303\) −4.89669 0.300990i −0.281307 0.0172914i
\(304\) −5.04322 8.01748i −0.289248 0.459834i
\(305\) −27.2225 + 15.7169i −1.55876 + 0.899949i
\(306\) 2.46203 + 11.6660i 0.140745 + 0.666903i
\(307\) −21.9851 7.60913i −1.25476 0.434276i −0.382788 0.923836i \(-0.625036\pi\)
−0.871969 + 0.489561i \(0.837157\pi\)
\(308\) −3.99490 0.989709i −0.227630 0.0563939i
\(309\) −0.927707 2.41323i −0.0527754 0.137284i
\(310\) 18.3410 + 13.1278i 1.04170 + 0.745607i
\(311\) −9.08343 + 5.83757i −0.515074 + 0.331018i −0.772221 0.635354i \(-0.780854\pi\)
0.257146 + 0.966372i \(0.417218\pi\)
\(312\) 4.96963 7.38595i 0.281350 0.418147i
\(313\) −3.37788 23.4937i −0.190929 1.32794i −0.829555 0.558425i \(-0.811406\pi\)
0.638626 0.769518i \(-0.279503\pi\)
\(314\) 23.1460 19.9580i 1.30620 1.12629i
\(315\) 4.18951 + 0.115584i 0.236052 + 0.00651241i
\(316\) 11.3119 17.4152i 0.636345 0.979684i
\(317\) 16.1419 + 0.768935i 0.906622 + 0.0431877i 0.495711 0.868488i \(-0.334908\pi\)
0.410911 + 0.911675i \(0.365211\pi\)
\(318\) −0.422125 + 6.60554i −0.0236716 + 0.370420i
\(319\) 6.30754 + 4.49158i 0.353154 + 0.251480i
\(320\) 15.0355 + 13.4166i 0.840509 + 0.750011i
\(321\) −1.97327 + 7.67064i −0.110137 + 0.428133i
\(322\) 2.85033 + 0.279157i 0.158843 + 0.0155568i
\(323\) −2.17650 6.28857i −0.121103 0.349906i
\(324\) 3.62574 17.6311i 0.201430 0.979503i
\(325\) −1.92097 + 1.51067i −0.106556 + 0.0837966i
\(326\) 30.7292 + 5.99996i 1.70193 + 0.332307i
\(327\) 0.570839 0.957966i 0.0315675 0.0529756i
\(328\) −13.9299 + 23.7266i −0.769149 + 1.31008i
\(329\) −0.142174 1.48892i −0.00783833 0.0820867i
\(330\) 15.2702 17.0559i 0.840599 0.938895i
\(331\) 4.81011 + 9.33032i 0.264388 + 0.512841i 0.983239 0.182324i \(-0.0583619\pi\)
−0.718851 + 0.695164i \(0.755332\pi\)
\(332\) 0.625466 + 14.6233i 0.0343269 + 0.802560i
\(333\) 11.6915 + 9.72789i 0.640689 + 0.533085i
\(334\) −0.0758075 0.814786i −0.00414800 0.0445831i
\(335\) 20.4896 + 2.29847i 1.11946 + 0.125579i
\(336\) −2.96232 + 2.44739i −0.161608 + 0.133516i
\(337\) −4.36229 17.9816i −0.237629 0.979520i −0.958191 0.286129i \(-0.907631\pi\)
0.720562 0.693390i \(-0.243884\pi\)
\(338\) 13.6978 + 0.685832i 0.745062 + 0.0373043i
\(339\) 7.14737 7.29190i 0.388192 0.396041i
\(340\) 8.15615 + 11.5722i 0.442330 + 0.627590i
\(341\) 2.23312 + 23.3862i 0.120930 + 1.26644i
\(342\) −0.778900 + 10.0161i −0.0421181 + 0.541607i
\(343\) −5.73923 + 4.97308i −0.309890 + 0.268521i
\(344\) −7.93125 0.0577508i −0.427625 0.00311372i
\(345\) −8.79666 + 13.2815i −0.473596 + 0.715053i
\(346\) 24.6706 + 0.0598781i 1.32630 + 0.00321906i
\(347\) 7.76232 + 22.4277i 0.416703 + 1.20398i 0.936796 + 0.349875i \(0.113776\pi\)
−0.520094 + 0.854109i \(0.674103\pi\)
\(348\) 6.87473 2.23674i 0.368524 0.119902i
\(349\) 21.4470 + 13.7832i 1.14803 + 0.737795i 0.969246 0.246093i \(-0.0791467\pi\)
0.178786 + 0.983888i \(0.442783\pi\)
\(350\) 0.980230 0.389667i 0.0523955 0.0208286i
\(351\) −8.90351 + 3.14375i −0.475234 + 0.167801i
\(352\) −0.254704 + 20.9873i −0.0135758 + 1.11863i
\(353\) −0.595472 0.0283658i −0.0316938 0.00150976i 0.0317290 0.999497i \(-0.489899\pi\)
−0.0634228 + 0.997987i \(0.520202\pi\)
\(354\) 20.7403 + 7.55710i 1.10233 + 0.401655i
\(355\) 18.4105 23.4109i 0.977129 1.24252i
\(356\) 14.6465 15.2123i 0.776262 0.806248i
\(357\) −2.41637 + 1.20384i −0.127888 + 0.0637141i
\(358\) −7.74708 15.1172i −0.409446 0.798970i
\(359\) −14.8840 + 9.56537i −0.785548 + 0.504841i −0.870871 0.491512i \(-0.836444\pi\)
0.0853228 + 0.996353i \(0.472808\pi\)
\(360\) −4.31195 20.9341i −0.227260 1.10332i
\(361\) 0.637259 + 13.3777i 0.0335399 + 0.704090i
\(362\) 29.3757 + 10.2469i 1.54395 + 0.538567i
\(363\) 4.79146 + 0.0660828i 0.251486 + 0.00346845i
\(364\) 1.90159 + 0.668499i 0.0996702 + 0.0350389i
\(365\) −2.64304 + 1.52596i −0.138343 + 0.0798725i
\(366\) −25.1840 + 17.3249i −1.31639 + 0.905585i
\(367\) −3.56422 + 8.90299i −0.186051 + 0.464732i −0.991843 0.127466i \(-0.959316\pi\)
0.805792 + 0.592198i \(0.201740\pi\)
\(368\) −1.93813 14.4764i −0.101032 0.754632i
\(369\) 26.8695 11.3862i 1.39877 0.592739i
\(370\) 17.3159 + 5.13008i 0.900210 + 0.266700i
\(371\) −1.47162 + 0.283631i −0.0764025 + 0.0147254i
\(372\) 18.7872 + 11.3190i 0.974072 + 0.586863i
\(373\) −3.31657 + 5.74447i −0.171726 + 0.297438i −0.939023 0.343854i \(-0.888268\pi\)
0.767298 + 0.641291i \(0.221601\pi\)
\(374\) −3.51130 + 14.3220i −0.181565 + 0.740572i
\(375\) 1.73462 15.8523i 0.0895756 0.818608i
\(376\) −7.22610 + 2.44221i −0.372658 + 0.125947i
\(377\) −2.86606 2.48345i −0.147610 0.127904i
\(378\) 4.07024 0.209394i 0.209350 0.0107701i
\(379\) −0.876611 2.18967i −0.0450285 0.112476i 0.904149 0.427218i \(-0.140506\pi\)
−0.949177 + 0.314742i \(0.898082\pi\)
\(380\) 3.84689 + 11.2919i 0.197341 + 0.579262i
\(381\) −15.7937 11.5782i −0.809134 0.593167i
\(382\) −1.59775 + 2.47292i −0.0817478 + 0.126526i
\(383\) −18.1649 17.3202i −0.928185 0.885022i 0.0654289 0.997857i \(-0.479158\pi\)
−0.993614 + 0.112835i \(0.964007\pi\)
\(384\) 15.6050 + 11.8526i 0.796338 + 0.604851i
\(385\) 4.60726 + 2.37521i 0.234808 + 0.121052i
\(386\) −6.05717 3.51674i −0.308302 0.178997i
\(387\) 6.71551 + 5.06691i 0.341369 + 0.257565i
\(388\) 9.13369 + 3.70812i 0.463693 + 0.188251i
\(389\) 1.07787 5.59253i 0.0546502 0.283552i −0.944314 0.329044i \(-0.893273\pi\)
0.998965 + 0.0454920i \(0.0144856\pi\)
\(390\) −8.23884 + 7.60448i −0.417190 + 0.385068i
\(391\) 0.975408 10.2149i 0.0493285 0.516592i
\(392\) 15.3387 + 11.0918i 0.774722 + 0.560223i
\(393\) 0.724531 + 21.4220i 0.0365478 + 1.08060i
\(394\) 5.27898 + 5.05801i 0.265951 + 0.254819i
\(395\) −18.9289 + 18.0486i −0.952415 + 0.908125i
\(396\) 13.4945 17.7058i 0.678127 0.889750i
\(397\) −12.9107 28.2704i −0.647968 1.41885i −0.893322 0.449418i \(-0.851631\pi\)
0.245354 0.969434i \(-0.421096\pi\)
\(398\) 8.77598 5.60993i 0.439900 0.281200i
\(399\) −2.23933 + 0.399650i −0.112107 + 0.0200075i
\(400\) −3.07768 4.41203i −0.153884 0.220602i
\(401\) 21.4096i 1.06914i 0.845123 + 0.534571i \(0.179527\pi\)
−0.845123 + 0.534571i \(0.820473\pi\)
\(402\) 20.0392 + 0.656094i 0.999464 + 0.0327230i
\(403\) 11.5056i 0.573136i
\(404\) −5.16432 + 2.32824i −0.256935 + 0.115834i
\(405\) −9.57320 + 20.5496i −0.475696 + 1.02112i
\(406\) 0.881639 + 1.37921i 0.0437550 + 0.0684488i
\(407\) 7.81418 + 17.1107i 0.387335 + 0.848144i
\(408\) 8.79456 + 10.5924i 0.435396 + 0.524404i
\(409\) 28.0364 26.7326i 1.38631 1.32184i 0.494680 0.869075i \(-0.335285\pi\)
0.891628 0.452768i \(-0.149563\pi\)
\(410\) 23.9733 25.0206i 1.18396 1.23568i
\(411\) −10.9110 + 0.369031i −0.538201 + 0.0182030i
\(412\) −2.24668 1.96593i −0.110686 0.0968544i
\(413\) −0.475100 + 4.97547i −0.0233781 + 0.244827i
\(414\) −7.50856 + 13.5502i −0.369026 + 0.665956i
\(415\) 3.48870 18.1011i 0.171253 0.888547i
\(416\) 1.10122 10.2202i 0.0539920 0.501088i
\(417\) 1.73041 1.19660i 0.0847383 0.0585977i
\(418\) −6.23863 + 10.7453i −0.305141 + 0.525570i
\(419\) 11.8399 + 6.10389i 0.578417 + 0.298195i 0.722500 0.691371i \(-0.242993\pi\)
−0.144083 + 0.989566i \(0.546023\pi\)
\(420\) 4.34209 2.13699i 0.211872 0.104275i
\(421\) −0.806541 0.769035i −0.0393084 0.0374805i 0.670170 0.742207i \(-0.266221\pi\)
−0.709479 + 0.704727i \(0.751070\pi\)
\(422\) −15.5615 10.0543i −0.757524 0.489433i
\(423\) 7.69681 + 2.49252i 0.374232 + 0.121191i
\(424\) 3.12430 + 6.97523i 0.151730 + 0.338747i
\(425\) −1.40467 3.50869i −0.0681365 0.170197i
\(426\) 16.0512 24.1074i 0.777682 1.16801i
\(427\) −5.23072 4.53244i −0.253132 0.219340i
\(428\) 2.11301 + 8.89823i 0.102136 + 0.430112i
\(429\) −11.6087 1.27027i −0.560471 0.0613292i
\(430\) 9.70195 + 2.37862i 0.467870 + 0.114707i
\(431\) −12.1487 + 21.0422i −0.585182 + 1.01357i 0.409670 + 0.912234i \(0.365644\pi\)
−0.994853 + 0.101332i \(0.967690\pi\)
\(432\) −5.78624 19.9630i −0.278391 0.960468i
\(433\) 5.13435 0.989566i 0.246741 0.0475555i −0.0643809 0.997925i \(-0.520507\pi\)
0.311122 + 0.950370i \(0.399295\pi\)
\(434\) −1.41072 + 4.76168i −0.0677167 + 0.228568i
\(435\) −9.07498 + 0.740420i −0.435112 + 0.0355004i
\(436\) 0.0675122 1.28589i 0.00323325 0.0615830i
\(437\) 3.21348 8.02689i 0.153722 0.383978i
\(438\) −2.44512 + 1.68208i −0.116832 + 0.0803727i
\(439\) 35.1604 20.2999i 1.67811 0.968859i 0.715250 0.698869i \(-0.246313\pi\)
0.962863 0.269990i \(-0.0870206\pi\)
\(440\) 6.41903 25.6432i 0.306015 1.22249i
\(441\) −6.04086 19.1468i −0.287660 0.911754i
\(442\) 2.37864 6.81904i 0.113140 0.324349i
\(443\) 0.674702 + 14.1637i 0.0320561 + 0.672940i 0.956519 + 0.291669i \(0.0942105\pi\)
−0.924463 + 0.381271i \(0.875486\pi\)
\(444\) 17.1798 + 3.64460i 0.815319 + 0.172965i
\(445\) −22.3739 + 14.3789i −1.06063 + 0.681623i
\(446\) −25.0198 + 12.8218i −1.18472 + 0.607132i
\(447\) 8.71515 + 17.4932i 0.412212 + 0.827401i
\(448\) −1.70886 + 4.09469i −0.0807362 + 0.193456i
\(449\) 12.0049 15.2655i 0.566546 0.720422i −0.415388 0.909644i \(-0.636354\pi\)
0.981934 + 0.189222i \(0.0605966\pi\)
\(450\) −0.171198 + 5.70317i −0.00807033 + 0.268850i
\(451\) 36.0514 + 1.71734i 1.69759 + 0.0808664i
\(452\) 3.37656 11.2964i 0.158820 0.531336i
\(453\) −4.79731 + 15.5420i −0.225397 + 0.730225i
\(454\) −13.9483 35.0877i −0.654625 1.64675i
\(455\) −2.13563 1.37249i −0.100120 0.0643433i
\(456\) 4.59560 + 10.6514i 0.215209 + 0.498796i
\(457\) 2.26014 + 6.53025i 0.105725 + 0.305472i 0.985439 0.170032i \(-0.0543870\pi\)
−0.879714 + 0.475504i \(0.842266\pi\)
\(458\) 0.00931942 3.83973i 0.000435468 0.179419i
\(459\) −0.785637 14.5815i −0.0366704 0.680606i
\(460\) −1.83742 + 18.3029i −0.0856699 + 0.853378i
\(461\) −19.5274 + 16.9206i −0.909483 + 0.788071i −0.977789 0.209593i \(-0.932786\pi\)
0.0683061 + 0.997664i \(0.478241\pi\)
\(462\) 4.64857 + 1.94906i 0.216271 + 0.0906785i
\(463\) 0.953270 + 9.98309i 0.0443022 + 0.463954i 0.990217 + 0.139538i \(0.0445616\pi\)
−0.945915 + 0.324416i \(0.894832\pi\)
\(464\) 5.81906 5.98541i 0.270143 0.277866i
\(465\) −19.7278 19.3368i −0.914854 0.896721i
\(466\) 1.78750 35.7009i 0.0828043 1.65381i
\(467\) −9.07646 37.4137i −0.420009 1.73130i −0.651670 0.758502i \(-0.725931\pi\)
0.231662 0.972796i \(1.57442\pi\)
\(468\) −7.40338 + 8.00401i −0.342221 + 0.369986i
\(469\) 0.997307 + 4.42887i 0.0460513 + 0.204506i
\(470\) 9.56532 0.889955i 0.441215 0.0410506i
\(471\) −31.7651 + 19.8006i −1.46366 + 0.912363i
\(472\) 25.2554 3.44367i 1.16247 0.158508i
\(473\) 4.76763 + 9.24790i 0.219216 + 0.425219i
\(474\) −16.9651 + 18.9489i −0.779233 + 0.870352i
\(475\) −0.302709 3.17011i −0.0138892 0.145455i
\(476\) −1.82051 + 2.53046i −0.0834428 + 0.115983i
\(477\) 1.75313 7.91477i 0.0802702 0.362392i
\(478\) −4.46763 + 22.8813i −0.204345 + 1.04657i
\(479\) 13.2279 10.4025i 0.604398 0.475304i −0.268452 0.963293i \(-0.586512\pi\)
0.872849 + 0.487990i \(0.162270\pi\)
\(480\) −15.6731 19.0647i −0.715374 0.870179i
\(481\) −3.01313 8.70587i −0.137387 0.396954i
\(482\) −2.39037 + 24.4069i −0.108878 + 1.11171i
\(483\) −3.39703 0.873886i −0.154570 0.0397632i
\(484\) 4.93038 2.51157i 0.224108 0.114162i
\(485\) −10.1132 7.20158i −0.459217 0.327007i
\(486\) −7.70371 + 20.6556i −0.349447 + 0.936956i
\(487\) 14.5554 + 0.693359i 0.659568 + 0.0314191i 0.374698 0.927147i \(-0.377747\pi\)
0.284870 + 0.958566i \(0.408050\pi\)
\(488\) −16.4018 + 31.2542i −0.742475 + 1.41481i
\(489\) −36.0607 13.0403i −1.63072 0.589704i
\(490\) −15.5681 18.0550i −0.703297 0.815640i
\(491\) −2.42887 16.8931i −0.109613 0.762377i −0.968285 0.249850i \(-0.919619\pi\)
0.858671 0.512527i \(1.82871\pi\)
\(492\) 21.3203 26.0947i 0.961195 1.17644i
\(493\) 4.93391 3.17083i 0.222212 0.142807i
\(494\) 3.54181 4.94831i 0.159353 0.222635i
\(495\) −21.6879 + 17.7696i −0.974801 + 0.798683i
\(496\) 25.2851 + 1.45063i 1.13533 + 0.0651354i
\(497\) 6.19703 + 2.14481i 0.277975 + 0.0962081i
\(498\) 1.99317 17.8151i 0.0893162 0.798313i
\(499\) 10.4812 6.05131i 0.469202 0.270894i −0.246704 0.969091i \(-0.579347\pi\)
0.715905 + 0.698197i \(0.246014\pi\)
\(500\) −6.76069 17.1279i −0.302347 0.765982i
\(501\) −0.0614881 + 1.00033i −0.00274709 + 0.0446913i
\(502\) 30.3727 + 4.44220i 1.35560 + 0.198265i
\(503\) −3.13173 + 12.9092i −0.139637 + 0.575591i 0.858401 + 0.512979i \(0.171458\pi\)
−0.998038 + 0.0626119i \(0.980057\pi\)
\(504\) 4.04532 2.40478i 0.180193 0.107117i
\(505\) 7.00570 1.35024i 0.311750 0.0600848i
\(506\) −15.6338 + 11.0757i −0.695009 + 0.492376i
\(507\) −16.4484 3.40607i −0.730498 0.151269i
\(508\) −22.3664 3.32670i −0.992350 0.147599i
\(509\) 0.185601 + 0.0847611i 0.00822661 + 0.00375697i 0.419524 0.907744i \(-0.362197\pi\)
−0.411297 + 0.911501i \(0.634924\pi\)
\(510\) −7.69443 15.5388i −0.340715 0.688069i
\(511\) −0.507852 0.440057i −0.0224661 0.0194670i
\(512\) 22.3214 + 3.70865i 0.986477 + 0.163901i
\(513\) 2.82630 11.9752i 0.124784 0.528716i
\(514\) 1.43780 + 5.99012i 0.0634187 + 0.264213i
\(515\) 2.18097 + 3.06274i 0.0961050 + 0.134961i
\(516\) 9.58770 + 1.56147i 0.422075 + 0.0687401i
\(517\) 7.24165 + 6.90490i 0.318488 + 0.303677i
\(518\) 0.179568 + 3.97243i 0.00788976 + 0.174539i
\(519\) −29.8456 4.71211i −1.31008 0.206839i
\(520\) −4.32331 + 12.2032i −0.189590 + 0.535145i
\(521\) −2.04147 6.95260i −0.0894383 0.304599i 0.902610 0.430460i \(-0.141649\pi\)
−0.992048 + 0.125861i \(0.959831\pi\)
\(522\) −8.74059 + 1.41405i −0.382565 + 0.0618915i
\(523\) −5.46649 + 28.3629i −0.239033 + 1.24022i 0.641829 + 0.766848i \(0.278176\pi\)
−0.880862 + 0.473373i \(0.843036\pi\)
\(524\) 12.2709 + 21.4941i 0.536056 + 0.938972i
\(525\) −1.25958 + 0.287237i −0.0549724 + 0.0125360i
\(526\) 26.2855 + 27.7017i 1.14610 + 1.20785i
\(527\) 17.0730 + 5.01308i 0.743711 + 0.218373i
\(528\) 4.25520 25.3513i 0.185184 1.10328i
\(529\) −6.99664 + 6.67129i −0.304202 + 0.290056i
\(530\) −1.79878 9.45639i −0.0781339 0.410759i
\(531\) −23.6791 13.0462i −1.02758 0.566159i
\(532\) −2.07252 + 1.61363i −0.0898551 + 0.0699596i
\(533\) −17.4965 2.51561i −0.757856 0.108963i
\(534\) −20.5864 + 15.6557i −0.890859 + 0.677488i
\(535\) 11.5185i 0.497989i
\(536\) 20.8246 10.1162i 0.899485 0.436952i
\(537\) 6.53267 + 19.7521i 0.281905 + 0.852366i
\(538\) 10.5934 + 30.8497i 0.456715 + 1.33003i
\(539\) 3.53383 24.5783i 0.152213 1.05866i
\(540\) 1.28146 + 26.1458i 0.0551451 + 1.12514i
\(541\) 10.5275 + 23.0520i 0.452612 + 0.991082i 0.989110 + 0.147180i \(0.0470197\pi\)
−0.536498 + 0.843902i \(0.680253\pi\)
\(542\) 42.8067 8.14260i 1.83870 0.349755i
\(543\) −33.6240 17.9255i −1.44294 0.769259i
\(544\) 14.6858 + 6.08711i 0.629649 + 0.260983i
\(545\) −0.456899 + 1.55605i −0.0195714 + 0.0666540i
\(546\) −2.17562 1.16665i −0.0931078 0.0499280i
\(547\) −2.94362 + 30.8270i −0.125860 + 1.31807i 0.683152 + 0.730276i \(0.260609\pi\)
−0.809012 + 0.587792i \(0.799997\pi\)
\(548\) −10.9477 + 6.25002i −0.467664 + 0.266987i
\(549\) 33.7363 16.2307i 1.43983 0.692709i
\(550\) −3.24880 + 6.26442i −0.138529 + 0.267116i
\(551\) 4.74162 1.39226i 0.202000 0.0593125i
\(552\) −0.376913 + 17.8841i −0.0160425 + 0.761196i
\(553\) −5.11862 2.63883i −0.217666 0.112215i
\(554\) −33.6898 + 1.52290i −1.43134 + 0.0647018i
\(555\) −19.9912 9.46502i −0.848581 0.401768i
\(556\) 1.12364 2.15383i 0.0476530 0.0913426i
\(557\) 10.9259 7.78033i 0.462947 0.329663i −0.324671 0.945827i \(-0.605254\pi\)
0.787618 + 0.616164i \(0.211314\pi\)
\(558\) −20.6080 17.2317i −0.872405 0.729475i
\(559\) −1.89387 4.73065i −0.0801020 0.200085i
\(560\) 3.28548 4.52028i 0.138837 0.191017i
\(561\) 6.94290 16.6724i 0.293129 0.703909i
\(562\) −2.06990 14.6488i −0.0873133 0.617920i
\(563\) 4.86319 10.6489i 0.204959 0.448798i −0.779039 0.626975i \(-0.784293\pi\)
0.983998 + 0.178177i \(0.0570200\pi\)
\(564\) 9.20446 1.59664i 0.387578 0.0672306i
\(565\) −7.42458 + 12.8598i −0.312355 + 0.541014i
\(566\) −24.2366 34.2110i −1.01874 1.43799i
\(567\) −4.96526 0.512052i −0.208521 0.0215042i
\(568\) 3.42124 33.2671i 0.143552 1.39586i
\(569\) −23.2113 5.63100i −0.973069 0.236064i −0.282449 0.959282i \(-0.591147\pi\)
−0.690620 + 0.723218i \(0.742662\pi\)
\(570\) −2.53198 14.3891i −0.106053 0.602695i
\(571\) −8.02717 + 20.0509i −0.335927 + 0.839104i 0.660193 + 0.751096i \(0.270474\pi\)
−0.996120 + 0.0880082i \(0.971950\pi\)
\(572\) −12.5428 + 4.95087i −0.524440 + 0.207006i
\(573\) 2.39869 2.69230i 0.100207 0.112473i
\(574\) 6.93259 + 3.18636i 0.289361 + 0.132996i
\(575\) 1.60609 4.64050i 0.0669787 0.193522i
\(576\) −16.6564 17.2790i −0.694017 0.719959i
\(577\) −1.17516 24.6696i −0.0489224 1.02701i −0.881228 0.472691i \(-0.843283\pi\)
0.832306 0.554316i \(-0.187020\pi\)
\(578\) −10.4676 7.49228i −0.435394 0.311638i
\(579\) 6.66914 + 5.39516i 0.277160 + 0.224215i
\(580\) −8.87217 + 5.64113i −0.368397 + 0.234235i
\(581\) 4.01760 0.577644i 0.166678 0.0239647i
\(582\) −10.3564 6.20536i −0.429287 0.257220i
\(583\) 6.19771 7.88103i 0.256683 0.326399i
\(584\) −1.59246 + 3.03448i −0.0658963 + 0.125568i
\(585\) 11.4009 7.65367i 0.471371 0.316440i
\(586\) 22.6095 + 9.11521i 0.933989 + 0.376546i
\(587\) −19.6378 + 27.5774i −0.810539 + 1.13824i 0.177512 + 0.984119i \(0.443195\pi\)
−0.988051 + 0.154124i \(0.950744\pi\)
\(588\) −16.4772 16.3082i −0.679510 0.672540i
\(589\) 12.6129 + 8.10582i 0.519706 + 0.333994i
\(590\) −31.9493 3.12906i −1.31533 0.128821i
\(591\) −5.43749 7.11409i −0.223669 0.292635i
\(592\) 19.5122 5.52410i 0.801945 0.227039i
\(593\) 13.7094 + 17.4330i 0.562979 + 0.715886i 0.981315 0.192406i \(-0.0616291\pi\)
−0.418337 + 0.908292i \(0.637387\pi\)
\(594\) −19.6612 + 18.8901i −0.806708 + 0.775069i
\(595\) 2.96712 2.57102i 0.121640 0.105402i
\(596\) 18.3191 + 13.1795i 0.750380 + 0.539852i
\(597\) −11.6759 + 5.13880i −0.477863 + 0.210317i
\(598\) 8.13771 4.67201i 0.332776 0.191053i
\(599\) 17.2989 8.91821i 0.706814 0.364388i −0.0670413 0.997750i \(-0.521356\pi\)
0.773856 + 0.633362i \(0.218326\pi\)
\(600\) 2.89493 + 5.91833i 0.118185 + 0.241615i
\(601\) −5.51286 22.7243i −0.224874 0.926944i −0.966610 0.256252i \(-0.917512\pi\)
0.741736 0.670692i \(-0.234003\pi\)
\(602\) 0.203759 + 2.19002i 0.00830460 + 0.0892586i
\(603\) −24.1284 4.56267i −0.982586 0.185806i
\(604\) 3.46491 + 18.4594i 0.140985 + 0.751103i
\(605\) −6.77238 + 1.64296i −0.275336 + 0.0667959i
\(606\) 6.68782 1.84645i 0.271674 0.0750071i
\(607\) −3.37870 6.55377i −0.137137 0.266009i 0.810259 0.586072i \(-0.199326\pi\)
−0.947396 + 0.320063i \(0.896296\pi\)
\(608\) 10.4280 + 8.40745i 0.422911 + 0.340967i
\(609\) −0.807598 1.83495i −0.0327255 0.0743558i
\(610\) 29.1928 33.5255i 1.18198 1.35741i
\(611\) −3.20913 3.70353i −0.129827 0.149829i
\(612\) −8.65130 14.4731i −0.349708 0.585042i
\(613\) −26.4995 + 20.8394i −1.07030 + 0.841697i −0.987929 0.154905i \(-0.950493\pi\)
−0.0823751 + 0.996601i \(0.526251\pi\)
\(614\) 32.9011 + 0.0798544i 1.32778 + 0.00322266i
\(615\) −33.7185 + 25.7719i −1.35966 + 1.03923i
\(616\) 5.79795 0.511065i 0.233606 0.0205914i
\(617\) −0.996095 + 1.54995i −0.0401013 + 0.0623988i −0.860725 0.509069i \(-0.829990\pi\)
0.820624 + 0.571468i \(0.193626\pi\)
\(618\) 2.34925 + 2.80173i 0.0945007 + 0.112702i
\(619\) 39.0111 + 27.7797i 1.56799 + 1.11656i 0.941443 + 0.337173i \(0.109471\pi\)
0.626544 + 0.779386i \(0.284469\pi\)
\(620\) −30.5616 9.13507i −1.22738 0.366873i
\(621\) 11.6353 14.9866i 0.466909 0.601393i
\(622\) 9.46837 11.9801i 0.379647 0.480357i
\(623\) −4.60313 3.61994i −0.184420 0.145030i
\(624\) −3.25478 + 12.1616i −0.130296 + 0.486855i
\(625\) 4.25744 + 29.6111i 0.170298 + 1.18445i
\(626\) 15.3087 + 29.8726i 0.611860 + 1.19395i
\(627\) 9.57092 11.8309i 0.382226 0.472482i
\(628\) −21.7923 + 37.3257i −0.869606 + 1.48946i
\(629\) 14.2313 0.677922i 0.567440 0.0270305i
\(630\) −5.65678 + 1.76964i −0.225371 + 0.0705041i
\(631\) 17.4807 + 6.05014i 0.695897 + 0.240852i 0.652039 0.758185i \(-0.273914\pi\)
0.0438581 + 0.999038i \(0.486035\pi\)
\(632\) −7.13148 + 28.4893i −0.283675 + 1.13325i
\(633\) 16.9421 + 15.0944i 0.673386 + 0.599949i
\(634\) −21.9439 + 6.38549i −0.871502 + 0.253600i
\(635\) 26.4393 + 10.5847i 1.04921 + 0.420040i
\(636\) −2.46930 9.02913i −0.0979143 0.358028i
\(637\) −2.86710 + 11.8183i −0.113598 + 0.468259i
\(638\) −10.4996 3.11067i −0.415684 0.123153i
\(639\) −23.9592 + 26.1566i −0.947811 + 1.03474i
\(640\) −26.2730 11.0396i −1.03853 0.436379i
\(641\) 15.0548 + 8.69192i 0.594631 + 0.343310i 0.766926 0.641735i \(-0.221785\pi\)
−0.172296 + 0.985045i \(0.555118\pi\)
\(642\) −0.883764 11.1662i −0.0348794 0.440695i
\(643\) −38.4950 17.5801i −1.51809 0.693291i −0.530122 0.847921i \(-0.677854\pi\)
−0.987972 + 0.154631i \(0.950581\pi\)
\(644\) −3.94069 + 0.935769i −0.155285 + 0.0368745i
\(645\) −11.2942 4.70324i −0.444707 0.185190i
\(646\) 5.79951 + 7.41163i 0.228179 + 0.291607i
\(647\) −35.1102 + 14.0560i −1.38032 + 0.552599i −0.938742 0.344622i \(-0.888007\pi\)
−0.441583 + 0.897220i \(0.645583\pi\)
\(648\) 3.24831 + 25.2477i 0.127606 + 0.991825i
\(649\) −19.3951 27.2367i −0.761326 1.06913i
\(650\) 1.87555 2.90289i 0.0735650 0.113861i
\(651\) 2.60278 5.49738i 0.102011 0.215459i
\(652\) −43.8577 + 6.08864i −1.71760 + 0.238450i
\(653\) 2.00068 3.88078i 0.0782927 0.151867i −0.846440 0.532485i \(-0.821258\pi\)
0.924732 + 0.380618i \(0.124289\pi\)
\(654\) −0.323534 + 1.54351i −0.0126512 + 0.0603562i
\(655\) −8.78204 29.9089i −0.343143 1.16864i
\(656\) 7.73433 38.1335i 0.301975 1.48886i
\(657\) 3.27547 1.57584i 0.127788 0.0614795i
\(658\) 0.874024 + 1.92620i 0.0340730 + 0.0750913i
\(659\) 12.3279 + 1.17717i 0.480226 + 0.0458560i 0.332362 0.943152i \(-0.392154\pi\)
0.147863 + 0.989008i \(0.452760\pi\)
\(660\) −12.5910 + 29.8267i −0.490104 + 1.16100i
\(661\) 1.32013 + 0.387624i 0.0513470 + 0.0150768i 0.307305 0.951611i \(-0.400573\pi\)
−0.255958 + 0.966688i \(0.582391\pi\)
\(662\) −10.7192 10.2705i −0.416613 0.399174i
\(663\) −4.16109 + 7.80520i −0.161603 + 0.303129i
\(664\) −7.55308 19.2722i −0.293116 0.747907i
\(665\) 3.00915 1.37423i 0.116690 0.0532904i
\(666\) −20.1060 7.64168i −0.779090 0.296109i
\(667\) 7.54273 + 1.08448i 0.292056 + 0.0419913i
\(668\) 0.475627 + 1.05500i 0.0184026 + 0.0408192i
\(669\) 32.6908 10.8119i 1.26390 0.418013i
\(670\) −28.4615 + 6.33651i −1.09957 + 0.244801i
\(671\) 46.3021 1.78747
\(672\) 2.83817 4.63410i 0.109485 0.178764i
\(673\) −0.721875 + 5.02075i −0.0278262 + 0.193536i −0.998993 0.0448653i \(-0.985714\pi\)
0.971167 + 0.238401i \(0.0766232\pi\)
\(674\) 14.0937 + 22.0477i 0.542869 + 0.849246i
\(675\) 1.27975 6.86989i 0.0492575 0.264422i
\(676\) −18.6365 + 5.37405i −0.716789 + 0.206694i
\(677\) 11.5172 + 12.0789i 0.442642 + 0.464230i 0.906824 0.421510i \(-0.138500\pi\)
−0.464181 + 0.885740i \(0.653651\pi\)
\(678\) −6.21081 + 13.0361i −0.238525 + 0.500647i
\(679\) 0.770158 2.62292i 0.0295559 0.100658i
\(680\) −16.2244 11.7323i −0.622176 0.449913i
\(681\) 10.2818 + 45.0870i 0.393998 + 1.72774i
\(682\) −13.7282 30.2546i −0.525679 1.15851i
\(683\) 4.90398 + 0.945165i 0.187646 + 0.0361657i 0.282208 0.959353i \(-0.408933\pi\)
−0.0945625 + 0.995519i \(0.530145\pi\)
\(684\) −3.55855 13.7548i −0.136065 0.525926i
\(685\) 15.2337 4.47302i 0.582050 0.170905i
\(686\) 5.39240 9.28777i 0.205883 0.354609i
\(687\) −0.733394 + 4.64517i −0.0279807 + 0.177224i
\(688\) 10.6350 3.56557i 0.405455 0.135936i
\(689\) −3.38851 + 3.55377i −0.129092 + 0.135388i
\(690\) 5.66580 21.8050i 0.215693 0.830102i
\(691\) 36.9599 26.3190i 1.40602 1.00122i 0.410002 0.912085i \(-0.365528\pi\)
0.996019 0.0891386i \(-0.0284114\pi\)
\(692\) −33.0257 + 11.2511i −1.25545 + 0.427702i
\(693\) −5.25925 3.23302i −0.199782 0.122812i
\(694\) −20.6835 26.4330i −0.785136 1.00338i
\(695\) −2.00361 + 2.31229i −0.0760011 + 0.0877100i
\(696\) −8.16798 + 6.14931i −0.309606 + 0.233089i
\(697\) 11.3562 24.8666i 0.430147 0.941890i
\(698\) −35.0171 8.58510i −1.32542 0.324951i
\(699\) −8.87731 + 42.8697i −0.335771 + 1.62148i
\(700\) −1.13213 + 0.971418i −0.0427907 + 0.0367162i
\(701\) −7.77199 40.3249i −0.293544 1.52305i −0.766661 0.642052i \(-0.778083\pi\)
0.473117 0.881000i \(-0.343129\pi\)
\(702\) 10.4650 8.29430i 0.394975 0.313048i
\(703\) 11.6665 + 2.83026i 0.440010 + 0.106745i
\(704\) −9.29876 28.1886i −0.350460 1.06240i
\(705\) −11.7435 0.721851i −0.442286 0.0271865i
\(706\) 0.809503 0.235559i 0.0304660 0.00886538i
\(707\) 0.785466 + 1.36047i 0.0295405 + 0.0511656i
\(708\) −31.2122 0.582022i −1.17302 0.0218737i
\(709\) −14.2607 + 41.2035i −0.535571 + 1.54743i 0.274793 + 0.961504i \(0.411391\pi\)
−0.810364 + 0.585927i \(0.800730\pi\)
\(710\) −13.8724 + 39.7692i −0.520623 + 1.49251i
\(711\) 24.0951 19.7418i 0.903637 0.740376i
\(712\) −12.6035 + 27.0743i −0.472335 + 1.01465i
\(713\) 12.4992 + 19.4492i 0.468100 + 0.728379i
\(714\) 2.67910 2.72004i 0.100263 0.101795i
\(715\) 16.8102 2.41695i 0.628667 0.0903887i
\(716\) 17.3054 + 16.6618i 0.646735 + 0.622682i
\(717\) 9.70997 26.8512i 0.362625 1.00278i
\(718\) 15.5148 19.6304i 0.579006 0.732599i
\(719\) 1.75669 36.8774i 0.0655134 1.37530i −0.691727 0.722160i \(-0.743150\pi\)
0.757240 0.653137i \(-0.226547\pi\)
\(720\) 15.3825 + 26.0200i 0.573271 + 0.969707i
\(721\) −0.480215 + 0.674367i −0.0178841 + 0.0251147i
\(722\) −6.99673 17.6007i −0.260391 0.655029i
\(723\) 7.48294 29.0882i 0.278294 1.08180i
\(724\) −43.9979 0.213576i −1.63517 0.00793749i
\(725\) 2.65230 0.917970i 0.0985039 0.0340925i
\(726\) −6.43917 + 2.11232i −0.238980 + 0.0783956i
\(727\) −5.35008 6.80318i −0.198424 0.252316i 0.676651 0.736304i \(-0.263430\pi\)
−0.875075 + 0.483987i \(0.839188\pi\)
\(728\) −2.85051 0.0207558i −0.105647 0.000769260i
\(729\) 13.2077 23.5490i 0.489176 0.872185i
\(730\) 2.83434 3.25500i 0.104903 0.120473i
\(731\) 7.84489 0.749097i 0.290154 0.0277063i
\(732\) 25.7276 34.7399i 0.950918 1.28402i
\(733\) −9.25419 + 4.77087i −0.341811 + 0.176216i −0.620582 0.784142i \(-0.713103\pi\)
0.278770 + 0.960358i \(0.410073\pi\)
\(734\) 0.678194 13.5453i 0.0250326 0.499965i
\(735\) 15.4454 + 24.7783i 0.569712 + 0.913960i
\(736\) 9.24133 + 18.4727i 0.340640 + 0.680912i
\(737\) −24.4448 18.0226i −0.900436 0.663872i
\(738\) −30.7098 + 27.5707i −1.13044 + 1.01489i
\(739\) −50.9440 + 12.3589i −1.87400 + 0.454629i −0.999536 0.0304546i \(-0.990304\pi\)
−0.874468 + 0.485083i \(0.838789\pi\)
\(740\) −25.5171 + 1.09141i −0.938028 + 0.0401211i
\(741\) −5.21696 + 5.32245i −0.191650 + 0.195525i
\(742\) 1.83809 1.05528i 0.0674784 0.0387406i
\(743\) 38.0389 3.63227i 1.39551 0.133255i 0.629959 0.776628i \(-0.283072\pi\)
0.765553 + 0.643373i \(0.222466\pi\)
\(744\) −30.3277 6.51080i −1.11187 0.238697i
\(745\) −18.6128 21.4803i −0.681920 0.786978i
\(746\) 1.79766 9.20683i 0.0658169 0.337086i
\(747\) −5.76255 + 21.1853i −0.210841 + 0.775131i
\(748\) −1.88152 20.7691i −0.0687952 0.759395i
\(749\) 2.39670 0.829508i 0.0875737 0.0303095i