Properties

Label 354.2.e.b.7.1
Level 354
Weight 2
Character 354.7
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) = 354.7
Dual form 354.2.e.b.253.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.561187 + 0.827689i) q^{2} +(-0.0541389 + 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(-2.31715 + 1.07203i) q^{5} +(-0.856857 + 0.515554i) q^{6} +(0.0770120 - 0.277372i) q^{7} +(-0.976621 + 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\) \(q+(0.561187 + 0.827689i) q^{2} +(-0.0541389 + 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(-2.31715 + 1.07203i) q^{5} +(-0.856857 + 0.515554i) q^{6} +(0.0770120 - 0.277372i) q^{7} +(-0.976621 + 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(-2.18766 - 1.31627i) q^{10} +(-2.41351 + 2.28620i) q^{11} +(-0.907575 - 0.419889i) q^{12} +(-1.39566 + 0.151787i) q^{13} +(0.272796 - 0.0919157i) q^{14} +(-0.945008 - 2.37179i) q^{15} +(-0.725995 - 0.687699i) q^{16} +(0.514946 + 1.85467i) q^{17} +(-0.468408 - 0.883512i) q^{18} +(1.40611 - 1.06890i) q^{19} +(-0.138223 - 2.54938i) q^{20} +(0.272796 + 0.0919157i) q^{21} +(-3.24669 - 0.714651i) q^{22} +(-1.00267 + 1.89123i) q^{23} +(-0.161782 - 0.986827i) q^{24} +(0.983010 - 1.15729i) q^{25} +(-0.908858 - 1.06999i) q^{26} +(0.161782 - 0.986827i) q^{27} +(0.229167 + 0.174208i) q^{28} +(-0.623479 + 0.919563i) q^{29} +(1.43278 - 2.11319i) q^{30} +(0.832355 + 0.632740i) q^{31} +(0.161782 - 0.986827i) q^{32} +(-2.15218 - 2.53374i) q^{33} +(-1.24611 + 1.46703i) q^{34} +(0.118902 + 0.725272i) q^{35} +(0.468408 - 0.883512i) q^{36} +(4.55780 + 1.00325i) q^{37} +(1.67381 + 0.563972i) q^{38} +(-0.0760049 - 1.40183i) q^{39} +(2.03252 - 1.54508i) q^{40} +(2.72425 + 5.13848i) q^{41} +(0.0770120 + 0.277372i) q^{42} +(2.30538 + 2.18378i) q^{43} +(-1.23049 - 3.08831i) q^{44} +(2.41947 - 0.815216i) q^{45} +(-2.12803 + 0.231438i) q^{46} +(4.52581 + 2.09386i) q^{47} +(0.725995 - 0.687699i) q^{48} +(5.92700 + 3.56616i) q^{49} +(1.50953 + 0.164171i) q^{50} +(-1.87983 + 0.413781i) q^{51} +(0.375580 - 1.35272i) q^{52} +(-1.51146 + 0.909416i) q^{53} +(0.907575 - 0.419889i) q^{54} +(3.14160 - 7.88482i) q^{55} +(-0.0155847 + 0.287443i) q^{56} +(0.991206 + 1.46192i) q^{57} -1.11100 q^{58} +(-4.43334 + 6.27260i) q^{59} +2.55312 q^{60} +(-0.430491 - 0.634927i) q^{61} +(-0.0566049 + 1.04402i) q^{62} +(-0.106550 + 0.267420i) q^{63} +(0.907575 - 0.419889i) q^{64} +(3.07123 - 1.84790i) q^{65} +(0.889376 - 3.20324i) q^{66} +(-9.18997 + 2.02287i) q^{67} +(-1.91355 - 0.208111i) q^{68} +(-1.83417 - 1.10359i) q^{69} +(-0.533573 + 0.505428i) q^{70} +(-2.47220 - 1.14376i) q^{71} +(0.994138 - 0.108119i) q^{72} +(8.49301 - 2.86163i) q^{73} +(1.72740 + 4.33545i) q^{74} +(1.10237 + 1.04422i) q^{75} +(0.472527 + 1.70189i) q^{76} +(0.448259 + 0.845506i) q^{77} +(1.11763 - 0.849597i) q^{78} +(-0.475896 - 8.77738i) q^{79} +(2.41947 + 0.815216i) q^{80} +(0.976621 + 0.214970i) q^{81} +(-2.72425 + 5.13848i) q^{82} +(2.16274 + 13.1922i) q^{83} +(-0.186360 + 0.219400i) q^{84} +(-3.18146 - 3.74551i) q^{85} +(-0.513735 + 3.13365i) q^{86} +(-0.884460 - 0.672349i) q^{87} +(1.86562 - 2.75158i) q^{88} +(8.92466 - 13.1629i) q^{89} +(2.03252 + 1.54508i) q^{90} +(-0.0653810 + 0.398806i) q^{91} +(-1.38578 - 1.63147i) q^{92} +(-0.676875 + 0.796879i) q^{93} +(0.806759 + 4.92101i) q^{94} +(-2.11229 + 3.98419i) q^{95} +(0.976621 + 0.214970i) q^{96} +(5.15668 + 1.73749i) q^{97} +(0.374486 + 6.90699i) q^{98} +(2.64654 - 2.01185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.561187 + 0.827689i 0.396819 + 0.585265i
\(3\) −0.0541389 + 0.998533i −0.0312571 + 0.576504i
\(4\) −0.370138 + 0.928977i −0.185069 + 0.464488i
\(5\) −2.31715 + 1.07203i −1.03626 + 0.479425i −0.862869 0.505427i \(-0.831335\pi\)
−0.173392 + 0.984853i \(0.555473\pi\)
\(6\) −0.856857 + 0.515554i −0.349810 + 0.210474i
\(7\) 0.0770120 0.277372i 0.0291078 0.104837i −0.947569 0.319551i \(-0.896468\pi\)
0.976677 + 0.214714i \(0.0688819\pi\)
\(8\) −0.976621 + 0.214970i −0.345288 + 0.0760035i
\(9\) −0.994138 0.108119i −0.331379 0.0360397i
\(10\) −2.18766 1.31627i −0.691799 0.416242i
\(11\) −2.41351 + 2.28620i −0.727701 + 0.689315i −0.958949 0.283580i \(-0.908478\pi\)
0.231248 + 0.972895i \(0.425719\pi\)
\(12\) −0.907575 0.419889i −0.261994 0.121212i
\(13\) −1.39566 + 0.151787i −0.387086 + 0.0420981i −0.299593 0.954067i \(-0.596851\pi\)
−0.0874927 + 0.996165i \(0.527885\pi\)
\(14\) 0.272796 0.0919157i 0.0729078 0.0245655i
\(15\) −0.945008 2.37179i −0.244000 0.612394i
\(16\) −0.725995 0.687699i −0.181499 0.171925i
\(17\) 0.514946 + 1.85467i 0.124893 + 0.449823i 0.999379 0.0352265i \(-0.0112153\pi\)
−0.874487 + 0.485050i \(0.838801\pi\)
\(18\) −0.468408 0.883512i −0.110405 0.208246i
\(19\) 1.40611 1.06890i 0.322585 0.245222i −0.431331 0.902194i \(-0.641956\pi\)
0.753916 + 0.656971i \(0.228163\pi\)
\(20\) −0.138223 2.54938i −0.0309076 0.570058i
\(21\) 0.272796 + 0.0919157i 0.0595290 + 0.0200577i
\(22\) −3.24669 0.714651i −0.692197 0.152364i
\(23\) −1.00267 + 1.89123i −0.209071 + 0.394349i −0.965764 0.259420i \(-0.916468\pi\)
0.756694 + 0.653769i \(0.226813\pi\)
\(24\) −0.161782 0.986827i −0.0330236 0.201435i
\(25\) 0.983010 1.15729i 0.196602 0.231458i
\(26\) −0.908858 1.06999i −0.178242 0.209842i
\(27\) 0.161782 0.986827i 0.0311350 0.189915i
\(28\) 0.229167 + 0.174208i 0.0433085 + 0.0329223i
\(29\) −0.623479 + 0.919563i −0.115777 + 0.170759i −0.881162 0.472814i \(-0.843238\pi\)
0.765385 + 0.643573i \(0.222549\pi\)
\(30\) 1.43278 2.11319i 0.261588 0.385814i
\(31\) 0.832355 + 0.632740i 0.149495 + 0.113643i 0.677248 0.735754i \(-0.263172\pi\)
−0.527753 + 0.849398i \(0.676965\pi\)
\(32\) 0.161782 0.986827i 0.0285993 0.174448i
\(33\) −2.15218 2.53374i −0.374647 0.441068i
\(34\) −1.24611 + 1.46703i −0.213706 + 0.251594i
\(35\) 0.118902 + 0.725272i 0.0200982 + 0.122593i
\(36\) 0.468408 0.883512i 0.0780681 0.147252i
\(37\) 4.55780 + 1.00325i 0.749298 + 0.164933i 0.573173 0.819435i \(-0.305712\pi\)
0.176126 + 0.984368i \(0.443644\pi\)
\(38\) 1.67381 + 0.563972i 0.271528 + 0.0914883i
\(39\) −0.0760049 1.40183i −0.0121705 0.224472i
\(40\) 2.03252 1.54508i 0.321370 0.244299i
\(41\) 2.72425 + 5.13848i 0.425457 + 0.802496i 0.999871 0.0160685i \(-0.00511498\pi\)
−0.574414 + 0.818565i \(0.694770\pi\)
\(42\) 0.0770120 + 0.277372i 0.0118832 + 0.0427995i
\(43\) 2.30538 + 2.18378i 0.351568 + 0.333023i 0.843020 0.537882i \(-0.180775\pi\)
−0.491453 + 0.870904i \(0.663534\pi\)
\(44\) −1.23049 3.08831i −0.185504 0.465580i
\(45\) 2.41947 0.815216i 0.360674 0.121525i
\(46\) −2.12803 + 0.231438i −0.313762 + 0.0341236i
\(47\) 4.52581 + 2.09386i 0.660158 + 0.305421i 0.721213 0.692713i \(-0.243585\pi\)
−0.0610559 + 0.998134i \(0.519447\pi\)
\(48\) 0.725995 0.687699i 0.104788 0.0992609i
\(49\) 5.92700 + 3.56616i 0.846714 + 0.509451i
\(50\) 1.50953 + 0.164171i 0.213479 + 0.0232173i
\(51\) −1.87983 + 0.413781i −0.263229 + 0.0579410i
\(52\) 0.375580 1.35272i 0.0520835 0.187588i
\(53\) −1.51146 + 0.909416i −0.207615 + 0.124918i −0.615564 0.788087i \(-0.711072\pi\)
0.407949 + 0.913005i \(0.366244\pi\)
\(54\) 0.907575 0.419889i 0.123505 0.0571397i
\(55\) 3.14160 7.88482i 0.423613 1.06319i
\(56\) −0.0155847 + 0.287443i −0.00208259 + 0.0384112i
\(57\) 0.991206 + 1.46192i 0.131289 + 0.193636i
\(58\) −1.11100 −0.145882
\(59\) −4.43334 + 6.27260i −0.577172 + 0.816623i
\(60\) 2.55312 0.329607
\(61\) −0.430491 0.634927i −0.0551187 0.0812940i 0.799131 0.601157i \(-0.205293\pi\)
−0.854250 + 0.519863i \(0.825983\pi\)
\(62\) −0.0566049 + 1.04402i −0.00718883 + 0.132590i
\(63\) −0.106550 + 0.267420i −0.0134240 + 0.0336917i
\(64\) 0.907575 0.419889i 0.113447 0.0524861i
\(65\) 3.07123 1.84790i 0.380939 0.229203i
\(66\) 0.889376 3.20324i 0.109475 0.394292i
\(67\) −9.18997 + 2.02287i −1.12273 + 0.247132i −0.737275 0.675593i \(-0.763888\pi\)
−0.385459 + 0.922725i \(0.625957\pi\)
\(68\) −1.91355 0.208111i −0.232052 0.0252371i
\(69\) −1.83417 1.10359i −0.220809 0.132856i
\(70\) −0.533573 + 0.505428i −0.0637742 + 0.0604101i
\(71\) −2.47220 1.14376i −0.293396 0.135739i 0.267670 0.963511i \(-0.413746\pi\)
−0.561066 + 0.827771i \(0.689608\pi\)
\(72\) 0.994138 0.108119i 0.117160 0.0127419i
\(73\) 8.49301 2.86163i 0.994032 0.334928i 0.225153 0.974323i \(-0.427712\pi\)
0.768878 + 0.639395i \(0.220815\pi\)
\(74\) 1.72740 + 4.33545i 0.200806 + 0.503986i
\(75\) 1.10237 + 1.04422i 0.127291 + 0.120576i
\(76\) 0.472527 + 1.70189i 0.0542025 + 0.195220i
\(77\) 0.448259 + 0.845506i 0.0510838 + 0.0963543i
\(78\) 1.11763 0.849597i 0.126546 0.0961979i
\(79\) −0.475896 8.77738i −0.0535425 0.987532i −0.894679 0.446710i \(-0.852596\pi\)
0.841137 0.540823i \(-0.181887\pi\)
\(80\) 2.41947 + 0.815216i 0.270505 + 0.0911439i
\(81\) 0.976621 + 0.214970i 0.108513 + 0.0238856i
\(82\) −2.72425 + 5.13848i −0.300843 + 0.567451i
\(83\) 2.16274 + 13.1922i 0.237392 + 1.44803i 0.789241 + 0.614083i \(0.210474\pi\)
−0.551850 + 0.833944i \(0.686078\pi\)
\(84\) −0.186360 + 0.219400i −0.0203335 + 0.0239385i
\(85\) −3.18146 3.74551i −0.345078 0.406258i
\(86\) −0.513735 + 3.13365i −0.0553975 + 0.337910i
\(87\) −0.884460 0.672349i −0.0948241 0.0720834i
\(88\) 1.86562 2.75158i 0.198876 0.293320i
\(89\) 8.92466 13.1629i 0.946012 1.39526i 0.0276086 0.999619i \(-0.491211\pi\)
0.918404 0.395645i \(-0.129479\pi\)
\(90\) 2.03252 + 1.54508i 0.214247 + 0.162866i
\(91\) −0.0653810 + 0.398806i −0.00685379 + 0.0418062i
\(92\) −1.38578 1.63147i −0.144478 0.170093i
\(93\) −0.676875 + 0.796879i −0.0701886 + 0.0826325i
\(94\) 0.806759 + 4.92101i 0.0832109 + 0.507564i
\(95\) −2.11229 + 3.98419i −0.216716 + 0.408770i
\(96\) 0.976621 + 0.214970i 0.0996759 + 0.0219403i
\(97\) 5.15668 + 1.73749i 0.523582 + 0.176415i 0.568667 0.822568i \(-0.307459\pi\)
−0.0450852 + 0.998983i \(0.514356\pi\)
\(98\) 0.374486 + 6.90699i 0.0378288 + 0.697711i
\(99\) 2.64654 2.01185i 0.265988 0.202199i
\(100\) 0.711245 + 1.34155i 0.0711245 + 0.134155i
\(101\) 2.15451 + 7.75984i 0.214382 + 0.772133i 0.990017 + 0.140951i \(0.0450161\pi\)
−0.775635 + 0.631182i \(0.782570\pi\)
\(102\) −1.39742 1.32370i −0.138365 0.131066i
\(103\) −4.34215 10.8980i −0.427844 1.07381i −0.972033 0.234846i \(-0.924542\pi\)
0.544188 0.838963i \(-0.316838\pi\)
\(104\) 1.33040 0.448263i 0.130456 0.0439558i
\(105\) −0.730646 + 0.0794625i −0.0713037 + 0.00775475i
\(106\) −1.60093 0.740667i −0.155496 0.0719400i
\(107\) −1.99313 + 1.88799i −0.192683 + 0.182519i −0.777959 0.628315i \(-0.783745\pi\)
0.585276 + 0.810834i \(0.300986\pi\)
\(108\) 0.856857 + 0.515554i 0.0824511 + 0.0496092i
\(109\) 7.70020 + 0.837447i 0.737545 + 0.0802129i 0.469178 0.883104i \(-0.344550\pi\)
0.268367 + 0.963317i \(0.413516\pi\)
\(110\) 8.28920 1.82459i 0.790344 0.173968i
\(111\) −1.24853 + 4.49680i −0.118505 + 0.426818i
\(112\) −0.246659 + 0.148410i −0.0233071 + 0.0140234i
\(113\) 12.7688 5.90748i 1.20119 0.555729i 0.285795 0.958291i \(-0.407742\pi\)
0.915393 + 0.402562i \(0.131880\pi\)
\(114\) −0.653763 + 1.64082i −0.0612305 + 0.153677i
\(115\) 0.295878 5.45715i 0.0275908 0.508882i
\(116\) −0.623479 0.919563i −0.0578886 0.0853793i
\(117\) 1.40389 0.129789
\(118\) −7.67969 0.149324i −0.706973 0.0137464i
\(119\) 0.554091 0.0507934
\(120\) 1.43278 + 2.11319i 0.130794 + 0.192907i
\(121\) 0.00280143 0.0516693i 0.000254675 0.00469721i
\(122\) 0.283936 0.712625i 0.0257063 0.0645181i
\(123\) −5.27843 + 2.44206i −0.475940 + 0.220193i
\(124\) −0.895887 + 0.539037i −0.0804530 + 0.0484070i
\(125\) 2.37803 8.56488i 0.212697 0.766066i
\(126\) −0.281135 + 0.0618825i −0.0250455 + 0.00551293i
\(127\) −9.19836 1.00038i −0.816222 0.0887695i −0.309523 0.950892i \(-0.600169\pi\)
−0.506700 + 0.862123i \(0.669135\pi\)
\(128\) 0.856857 + 0.515554i 0.0757362 + 0.0455690i
\(129\) −2.30538 + 2.18378i −0.202978 + 0.192271i
\(130\) 3.25302 + 1.50501i 0.285309 + 0.131998i
\(131\) −18.7539 + 2.03961i −1.63854 + 0.178202i −0.880513 0.474023i \(-0.842801\pi\)
−0.758026 + 0.652224i \(0.773836\pi\)
\(132\) 3.15039 1.06149i 0.274207 0.0923910i
\(133\) −0.188195 0.472335i −0.0163186 0.0409566i
\(134\) −6.83160 6.47123i −0.590160 0.559029i
\(135\) 0.683032 + 2.46006i 0.0587861 + 0.211728i
\(136\) −0.901606 1.70061i −0.0773121 0.145826i
\(137\) −3.09546 + 2.35311i −0.264463 + 0.201039i −0.728999 0.684515i \(-0.760014\pi\)
0.464536 + 0.885554i \(0.346221\pi\)
\(138\) −0.115889 2.13744i −0.00986511 0.181951i
\(139\) 4.76096 + 1.60415i 0.403819 + 0.136063i 0.513880 0.857862i \(-0.328208\pi\)
−0.110060 + 0.993925i \(0.535104\pi\)
\(140\) −0.717771 0.157993i −0.0606627 0.0133529i
\(141\) −2.33582 + 4.40581i −0.196711 + 0.371037i
\(142\) −0.440688 2.68808i −0.0369817 0.225578i
\(143\) 3.02142 3.55709i 0.252664 0.297459i
\(144\) 0.647386 + 0.762162i 0.0539489 + 0.0635135i
\(145\) 0.458898 2.79915i 0.0381094 0.232457i
\(146\) 7.13471 + 5.42366i 0.590472 + 0.448866i
\(147\) −3.88181 + 5.72524i −0.320166 + 0.472209i
\(148\) −2.61901 + 3.86275i −0.215281 + 0.317516i
\(149\) −9.01359 6.85195i −0.738422 0.561334i 0.166944 0.985966i \(-0.446610\pi\)
−0.905366 + 0.424633i \(0.860403\pi\)
\(150\) −0.245654 + 1.49843i −0.0200576 + 0.122346i
\(151\) −13.2198 15.5635i −1.07581 1.26654i −0.962004 0.273036i \(-0.911972\pi\)
−0.113804 0.993503i \(-0.536304\pi\)
\(152\) −1.14346 + 1.34618i −0.0927466 + 0.109190i
\(153\) −0.311403 1.89947i −0.0251754 0.153563i
\(154\) −0.448259 + 0.845506i −0.0361217 + 0.0681328i
\(155\) −2.60701 0.573846i −0.209400 0.0460924i
\(156\) 1.33040 + 0.448263i 0.106517 + 0.0358898i
\(157\) 0.981424 + 18.1013i 0.0783262 + 1.44464i 0.728599 + 0.684940i \(0.240172\pi\)
−0.650273 + 0.759701i \(0.725345\pi\)
\(158\) 6.99787 5.31965i 0.556721 0.423208i
\(159\) −0.826254 1.55848i −0.0655262 0.123595i
\(160\) 0.683032 + 2.46006i 0.0539984 + 0.194485i
\(161\) 0.447358 + 0.423760i 0.0352567 + 0.0333969i
\(162\) 0.370138 + 0.928977i 0.0290808 + 0.0729873i
\(163\) −3.85638 + 1.29937i −0.302055 + 0.101774i −0.466248 0.884654i \(-0.654395\pi\)
0.164193 + 0.986428i \(0.447498\pi\)
\(164\) −5.78188 + 0.628817i −0.451489 + 0.0491024i
\(165\) 7.70317 + 3.56387i 0.599691 + 0.277447i
\(166\) −9.70529 + 9.19334i −0.753277 + 0.713542i
\(167\) 1.66326 + 1.00075i 0.128707 + 0.0774403i 0.578451 0.815717i \(-0.303657\pi\)
−0.449744 + 0.893157i \(0.648485\pi\)
\(168\) −0.286177 0.0311237i −0.0220791 0.00240124i
\(169\) −10.7712 + 2.37093i −0.828557 + 0.182379i
\(170\) 1.31472 4.73520i 0.100834 0.363173i
\(171\) −1.51344 + 0.910606i −0.115736 + 0.0696358i
\(172\) −2.88199 + 1.33335i −0.219749 + 0.101667i
\(173\) 9.04690 22.7060i 0.687823 1.72631i 0.000451745 1.00000i \(-0.499856\pi\)
0.687371 0.726306i \(-0.258764\pi\)
\(174\) 0.0601484 1.10937i 0.00455984 0.0841012i
\(175\) −0.245296 0.361785i −0.0185426 0.0273484i
\(176\) 3.32442 0.250587
\(177\) −6.02338 4.76643i −0.452745 0.358267i
\(178\) 15.9032 1.19199
\(179\) −7.51210 11.0795i −0.561481 0.828122i 0.435934 0.899979i \(-0.356418\pi\)
−0.997415 + 0.0718563i \(0.977108\pi\)
\(180\) −0.138223 + 2.54938i −0.0103025 + 0.190019i
\(181\) 3.07073 7.70694i 0.228245 0.572852i −0.769596 0.638532i \(-0.779542\pi\)
0.997841 + 0.0656794i \(0.0209214\pi\)
\(182\) −0.366778 + 0.169690i −0.0271874 + 0.0125782i
\(183\) 0.657302 0.395485i 0.0485892 0.0292351i
\(184\) 0.572667 2.06256i 0.0422175 0.152054i
\(185\) −11.6366 + 2.56141i −0.855542 + 0.188319i
\(186\) −1.03942 0.113044i −0.0762140 0.00828878i
\(187\) −5.48297 3.29900i −0.400955 0.241246i
\(188\) −3.62033 + 3.42936i −0.264039 + 0.250111i
\(189\) −0.261259 0.120871i −0.0190038 0.00879210i
\(190\) −4.48306 + 0.487562i −0.325235 + 0.0353715i
\(191\) −10.3584 + 3.49016i −0.749509 + 0.252539i −0.668028 0.744136i \(-0.732862\pi\)
−0.0814810 + 0.996675i \(0.525965\pi\)
\(192\) 0.370138 + 0.928977i 0.0267124 + 0.0670431i
\(193\) 12.5134 + 11.8533i 0.900733 + 0.853220i 0.989750 0.142810i \(-0.0456139\pi\)
−0.0890169 + 0.996030i \(0.528373\pi\)
\(194\) 1.45576 + 5.24318i 0.104518 + 0.376439i
\(195\) 1.67891 + 3.16677i 0.120230 + 0.226777i
\(196\) −5.50668 + 4.18607i −0.393334 + 0.299005i
\(197\) −0.699667 12.9046i −0.0498492 0.919414i −0.911343 0.411647i \(-0.864954\pi\)
0.861494 0.507767i \(-0.169529\pi\)
\(198\) 3.15039 + 1.06149i 0.223889 + 0.0754369i
\(199\) 12.7498 + 2.80644i 0.903809 + 0.198944i 0.642477 0.766305i \(-0.277907\pi\)
0.261333 + 0.965249i \(0.415838\pi\)
\(200\) −0.711245 + 1.34155i −0.0502926 + 0.0948619i
\(201\) −1.52236 9.28601i −0.107379 0.654985i
\(202\) −5.21365 + 6.13799i −0.366831 + 0.431867i
\(203\) 0.207046 + 0.243753i 0.0145318 + 0.0171081i
\(204\) 0.311403 1.89947i 0.0218026 0.132990i
\(205\) −11.8211 8.98616i −0.825621 0.627621i
\(206\) 6.58337 9.70975i 0.458685 0.676510i
\(207\) 1.20127 1.77174i 0.0834939 0.123144i
\(208\) 1.11763 + 0.849597i 0.0774934 + 0.0589089i
\(209\) −0.949953 + 5.79446i −0.0657096 + 0.400811i
\(210\) −0.475799 0.560154i −0.0328333 0.0386543i
\(211\) −17.1556 + 20.1971i −1.18104 + 1.39043i −0.278160 + 0.960535i \(0.589724\pi\)
−0.902880 + 0.429892i \(0.858551\pi\)
\(212\) −0.285377 1.74072i −0.0195998 0.119553i
\(213\) 1.27593 2.40665i 0.0874250 0.164901i
\(214\) −2.68119 0.590174i −0.183282 0.0403434i
\(215\) −7.68299 2.58870i −0.523975 0.176548i
\(216\) 0.0541389 + 0.998533i 0.00368369 + 0.0679416i
\(217\) 0.239606 0.182144i 0.0162655 0.0123647i
\(218\) 3.62811 + 6.84333i 0.245726 + 0.463489i
\(219\) 2.39763 + 8.63548i 0.162017 + 0.583532i
\(220\) 6.16199 + 5.83694i 0.415441 + 0.393527i
\(221\) −1.00020 2.51032i −0.0672810 0.168862i
\(222\) −4.42261 + 1.49015i −0.296826 + 0.100012i
\(223\) 14.8761 1.61788i 0.996179 0.108341i 0.404520 0.914529i \(-0.367439\pi\)
0.591659 + 0.806188i \(0.298473\pi\)
\(224\) −0.261259 0.120871i −0.0174561 0.00807606i
\(225\) −1.10237 + 1.04422i −0.0734915 + 0.0696148i
\(226\) 12.0552 + 7.25340i 0.801903 + 0.482489i
\(227\) 7.90617 + 0.859848i 0.524751 + 0.0570701i 0.366661 0.930355i \(-0.380501\pi\)
0.158090 + 0.987425i \(0.449466\pi\)
\(228\) −1.72497 + 0.379695i −0.114239 + 0.0251459i
\(229\) −5.42661 + 19.5449i −0.358601 + 1.29156i 0.535819 + 0.844333i \(0.320003\pi\)
−0.894419 + 0.447229i \(0.852411\pi\)
\(230\) 4.68287 2.81759i 0.308779 0.185786i
\(231\) −0.868534 + 0.401827i −0.0571454 + 0.0264383i
\(232\) 0.411224 1.03209i 0.0269982 0.0677603i
\(233\) 0.578695 10.6734i 0.0379116 0.699238i −0.916371 0.400331i \(-0.868895\pi\)
0.954282 0.298907i \(-0.0966221\pi\)
\(234\) 0.787844 + 1.16198i 0.0515029 + 0.0759612i
\(235\) −12.7317 −0.830522
\(236\) −4.18615 6.44020i −0.272495 0.419221i
\(237\) 8.79027 0.570990
\(238\) 0.310949 + 0.458615i 0.0201558 + 0.0297276i
\(239\) 0.942496 17.3833i 0.0609650 1.12443i −0.794733 0.606959i \(-0.792389\pi\)
0.855698 0.517475i \(-0.173128\pi\)
\(240\) −0.945008 + 2.37179i −0.0610000 + 0.153098i
\(241\) 0.428330 0.198166i 0.0275911 0.0127650i −0.406045 0.913853i \(-0.633092\pi\)
0.433636 + 0.901088i \(0.357230\pi\)
\(242\) 0.0443382 0.0266774i 0.00285017 0.00171489i
\(243\) −0.267528 + 0.963550i −0.0171620 + 0.0618118i
\(244\) 0.749173 0.164906i 0.0479609 0.0105570i
\(245\) −17.5568 1.90941i −1.12166 0.121988i
\(246\) −4.98346 2.99845i −0.317734 0.191174i
\(247\) −1.80021 + 1.70525i −0.114544 + 0.108502i
\(248\) −0.948916 0.439015i −0.0602562 0.0278775i
\(249\) −13.2899 + 1.44536i −0.842213 + 0.0915961i
\(250\) 8.42357 2.83823i 0.532753 0.179506i
\(251\) 6.25889 + 15.7086i 0.395058 + 0.991520i 0.983162 + 0.182735i \(0.0584951\pi\)
−0.588105 + 0.808785i \(0.700126\pi\)
\(252\) −0.208989 0.197965i −0.0131650 0.0124706i
\(253\) −1.90378 6.85680i −0.119690 0.431084i
\(254\) −4.33400 8.17478i −0.271939 0.512931i
\(255\) 3.91226 2.97402i 0.244995 0.186240i
\(256\) 0.0541389 + 0.998533i 0.00338368 + 0.0624083i
\(257\) −4.24217 1.42936i −0.264620 0.0891607i 0.183864 0.982952i \(-0.441139\pi\)
−0.448484 + 0.893791i \(0.648036\pi\)
\(258\) −3.10124 0.682634i −0.193075 0.0424990i
\(259\) 0.629279 1.18695i 0.0391015 0.0737532i
\(260\) 0.579874 + 3.53708i 0.0359623 + 0.219360i
\(261\) 0.719247 0.846763i 0.0445202 0.0524133i
\(262\) −12.2126 14.3778i −0.754499 0.888265i
\(263\) −0.334567 + 2.04077i −0.0206303 + 0.125839i −0.995134 0.0985332i \(-0.968585\pi\)
0.974503 + 0.224372i \(0.0720332\pi\)
\(264\) 2.64654 + 2.01185i 0.162884 + 0.123821i
\(265\) 2.52736 3.72758i 0.155255 0.228984i
\(266\) 0.285334 0.420836i 0.0174949 0.0258031i
\(267\) 12.6604 + 9.62420i 0.774805 + 0.588991i
\(268\) 1.52236 9.28601i 0.0929932 0.567233i
\(269\) −8.35465 9.83585i −0.509392 0.599702i 0.446004 0.895031i \(-0.352847\pi\)
−0.955396 + 0.295329i \(0.904571\pi\)
\(270\) −1.65286 + 1.94589i −0.100590 + 0.118423i
\(271\) 3.58227 + 21.8509i 0.217607 + 1.32735i 0.839122 + 0.543944i \(0.183070\pi\)
−0.621514 + 0.783403i \(0.713482\pi\)
\(272\) 0.901606 1.70061i 0.0546679 0.103115i
\(273\) −0.394682 0.0868760i −0.0238872 0.00525797i
\(274\) −3.68477 1.24154i −0.222605 0.0750044i
\(275\) 0.273287 + 5.04049i 0.0164798 + 0.303953i
\(276\) 1.70410 1.29543i 0.102575 0.0779755i
\(277\) 7.77218 + 14.6599i 0.466985 + 0.880827i 0.999410 + 0.0343500i \(0.0109361\pi\)
−0.532425 + 0.846477i \(0.678719\pi\)
\(278\) 1.34405 + 4.84082i 0.0806107 + 0.290333i
\(279\) −0.759065 0.719024i −0.0454440 0.0430469i
\(280\) −0.272035 0.682755i −0.0162572 0.0408024i
\(281\) −17.1323 + 5.77253i −1.02203 + 0.344360i −0.779913 0.625888i \(-0.784737\pi\)
−0.242112 + 0.970248i \(0.577840\pi\)
\(282\) −4.95747 + 0.539158i −0.295213 + 0.0321064i
\(283\) 23.1976 + 10.7323i 1.37895 + 0.637971i 0.962524 0.271197i \(-0.0874195\pi\)
0.416429 + 0.909168i \(0.363282\pi\)
\(284\) 1.97758 1.87327i 0.117348 0.111158i
\(285\) −3.86399 2.32489i −0.228883 0.137714i
\(286\) 4.63975 + 0.504603i 0.274354 + 0.0298378i
\(287\) 1.63507 0.359907i 0.0965153 0.0212446i
\(288\) −0.267528 + 0.963550i −0.0157643 + 0.0567777i
\(289\) 11.3919 6.85431i 0.670114 0.403194i
\(290\) 2.57436 1.19102i 0.151171 0.0699393i
\(291\) −2.01412 + 5.05505i −0.118070 + 0.296332i
\(292\) −0.485201 + 8.94901i −0.0283942 + 0.523701i
\(293\) 5.15995 + 7.61036i 0.301448 + 0.444602i 0.948001 0.318267i \(-0.103101\pi\)
−0.646554 + 0.762868i \(0.723790\pi\)
\(294\) −6.91713 −0.403415
\(295\) 3.54831 19.2872i 0.206591 1.12295i
\(296\) −4.66691 −0.271259
\(297\) 1.86562 + 2.75158i 0.108254 + 0.159663i
\(298\) 0.612976 11.3057i 0.0355087 0.654920i
\(299\) 1.11232 2.79170i 0.0643269 0.161448i
\(300\) −1.37809 + 0.637572i −0.0795640 + 0.0368102i
\(301\) 0.783261 0.471273i 0.0451464 0.0271637i
\(302\) 5.46298 19.6759i 0.314359 1.13222i
\(303\) −7.86510 + 1.73124i −0.451838 + 0.0994572i
\(304\) −1.75591 0.190967i −0.100709 0.0109527i
\(305\) 1.67817 + 1.00972i 0.0960918 + 0.0578165i
\(306\) 1.39742 1.32370i 0.0798850 0.0756711i
\(307\) 16.9121 + 7.82436i 0.965223 + 0.446560i 0.838214 0.545342i \(-0.183600\pi\)
0.127009 + 0.991902i \(0.459462\pi\)
\(308\) −0.951373 + 0.103468i −0.0542095 + 0.00589564i
\(309\) 11.1171 3.74577i 0.632428 0.213090i
\(310\) −0.988053 2.47983i −0.0561176 0.140845i
\(311\) 3.31888 + 3.14381i 0.188196 + 0.178269i 0.775997 0.630737i \(-0.217247\pi\)
−0.587800 + 0.809006i \(0.700006\pi\)
\(312\) 0.375580 + 1.35272i 0.0212630 + 0.0765825i
\(313\) 0.678633 + 1.28004i 0.0383586 + 0.0723520i 0.901950 0.431840i \(-0.142135\pi\)
−0.863592 + 0.504192i \(0.831791\pi\)
\(314\) −14.4315 + 10.9705i −0.814416 + 0.619103i
\(315\) −0.0397896 0.733876i −0.00224189 0.0413492i
\(316\) 8.33013 + 2.80675i 0.468606 + 0.157892i
\(317\) 30.4826 + 6.70973i 1.71207 + 0.376856i 0.959512 0.281666i \(-0.0908871\pi\)
0.752561 + 0.658522i \(0.228818\pi\)
\(318\) 0.826254 1.55848i 0.0463340 0.0873952i
\(319\) −0.597530 3.64477i −0.0334553 0.204068i
\(320\) −1.65286 + 1.94589i −0.0923974 + 0.108779i
\(321\) −1.77732 2.09242i −0.0992001 0.116787i
\(322\) −0.0996899 + 0.608081i −0.00555550 + 0.0338870i
\(323\) 2.70653 + 2.05745i 0.150595 + 0.114480i
\(324\) −0.561187 + 0.827689i −0.0311771 + 0.0459827i
\(325\) −1.19628 + 1.76439i −0.0663579 + 0.0978706i
\(326\) −3.23962 2.46270i −0.179426 0.136396i
\(327\) −1.25310 + 7.64357i −0.0692965 + 0.422690i
\(328\) −3.76518 4.43271i −0.207897 0.244756i
\(329\) 0.929322 1.09408i 0.0512352 0.0603187i
\(330\) 1.37315 + 8.37583i 0.0755893 + 0.461074i
\(331\) 6.96616 13.1396i 0.382895 0.722216i −0.614899 0.788606i \(-0.710803\pi\)
0.997794 + 0.0663897i \(0.0211480\pi\)
\(332\) −13.0557 2.87378i −0.716525 0.157719i
\(333\) −4.42261 1.49015i −0.242358 0.0816598i
\(334\) 0.105090 + 1.93827i 0.00575026 + 0.106057i
\(335\) 19.1260 14.5392i 1.04496 0.794361i
\(336\) −0.134838 0.254332i −0.00735604 0.0138750i
\(337\) 7.40602 + 26.6741i 0.403432 + 1.45303i 0.834650 + 0.550781i \(0.185670\pi\)
−0.431218 + 0.902248i \(0.641916\pi\)
\(338\) −8.00708 7.58471i −0.435528 0.412554i
\(339\) 5.20753 + 13.0699i 0.282834 + 0.709860i
\(340\) 4.65707 1.56915i 0.252565 0.0850991i
\(341\) −3.45547 + 0.375805i −0.187124 + 0.0203510i
\(342\) −1.60302 0.741636i −0.0866814 0.0401031i
\(343\) 2.90852 2.75510i 0.157045 0.148761i
\(344\) −2.72093 1.63713i −0.146703 0.0882682i
\(345\) 5.43313 + 0.590889i 0.292510 + 0.0318124i
\(346\) 23.8705 5.25430i 1.28329 0.282473i
\(347\) 2.35898 8.49627i 0.126636 0.456103i −0.872855 0.487979i \(-0.837734\pi\)
0.999492 + 0.0318756i \(0.0101480\pi\)
\(348\) 0.951969 0.572781i 0.0510309 0.0307043i
\(349\) 9.95807 4.60709i 0.533043 0.246612i −0.134854 0.990865i \(-0.543057\pi\)
0.667897 + 0.744253i \(0.267195\pi\)
\(350\) 0.161788 0.406058i 0.00864794 0.0217047i
\(351\) −0.0760049 + 1.40183i −0.00405684 + 0.0748241i
\(352\) 1.86562 + 2.75158i 0.0994379 + 0.146660i
\(353\) 33.7444 1.79604 0.898018 0.439959i \(-0.145007\pi\)
0.898018 + 0.439959i \(0.145007\pi\)
\(354\) 0.564876 7.66035i 0.0300228 0.407143i
\(355\) 6.95460 0.369112
\(356\) 8.92466 + 13.1629i 0.473006 + 0.697632i
\(357\) −0.0299979 + 0.553278i −0.00158766 + 0.0292826i
\(358\) 4.95470 12.4354i 0.261864 0.657230i
\(359\) 11.8585 5.48632i 0.625866 0.289557i −0.0812065 0.996697i \(-0.525877\pi\)
0.707073 + 0.707141i \(0.250015\pi\)
\(360\) −2.18766 + 1.31627i −0.115300 + 0.0693736i
\(361\) −4.24843 + 15.3015i −0.223602 + 0.805340i
\(362\) 8.10220 1.78343i 0.425842 0.0937350i
\(363\) 0.0514418 + 0.00559464i 0.00270000 + 0.000293642i
\(364\) −0.346282 0.208351i −0.0181501 0.0109205i
\(365\) −16.6118 + 15.7356i −0.869503 + 0.823637i
\(366\) 0.696208 + 0.322100i 0.0363914 + 0.0168364i
\(367\) −15.9787 + 1.73779i −0.834081 + 0.0907118i −0.515186 0.857078i \(-0.672277\pi\)
−0.318895 + 0.947790i \(0.603312\pi\)
\(368\) 2.02853 0.683491i 0.105744 0.0356295i
\(369\) −2.15271 5.40290i −0.112066 0.281264i
\(370\) −8.65038 8.19407i −0.449712 0.425990i
\(371\) 0.135846 + 0.489273i 0.00705278 + 0.0254018i
\(372\) −0.489744 0.923756i −0.0253921 0.0478945i
\(373\) −1.63736 + 1.24469i −0.0847793 + 0.0644475i −0.646705 0.762740i \(-0.723854\pi\)
0.561926 + 0.827187i \(0.310061\pi\)
\(374\) −0.346431 6.38955i −0.0179135 0.330396i
\(375\) 8.42357 + 2.83823i 0.434991 + 0.146566i
\(376\) −4.87012 1.07199i −0.251157 0.0552839i
\(377\) 0.730586 1.37803i 0.0376271 0.0709722i
\(378\) −0.0465714 0.284073i −0.00239537 0.0146111i
\(379\) −2.57117 + 3.02702i −0.132072 + 0.155487i −0.824223 0.566266i \(-0.808388\pi\)
0.692150 + 0.721753i \(0.256663\pi\)
\(380\) −2.91939 3.43697i −0.149761 0.176313i
\(381\) 1.49690 9.13071i 0.0766887 0.467780i
\(382\) −8.70178 6.61492i −0.445222 0.338449i
\(383\) 18.7150 27.6026i 0.956293 1.41043i 0.0448524 0.998994i \(-0.485718\pi\)
0.911440 0.411432i \(-0.134971\pi\)
\(384\) −0.561187 + 0.827689i −0.0286380 + 0.0422378i
\(385\) −1.94509 1.47862i −0.0991309 0.0753574i
\(386\) −2.78850 + 17.0091i −0.141931 + 0.865741i
\(387\) −2.05576 2.42023i −0.104500 0.123027i
\(388\) −3.52277 + 4.14733i −0.178842 + 0.210549i
\(389\) −1.51627 9.24887i −0.0768782 0.468936i −0.997006 0.0773190i \(-0.975364\pi\)
0.920128 0.391617i \(-0.128084\pi\)
\(390\) −1.67891 + 3.16677i −0.0850151 + 0.160356i
\(391\) −4.02393 0.885733i −0.203499 0.0447935i
\(392\) −6.55504 2.20865i −0.331080 0.111554i
\(393\) −1.02130 18.8368i −0.0515180 0.950193i
\(394\) 10.2883 7.82100i 0.518319 0.394016i
\(395\) 10.5123 + 19.8283i 0.528932 + 0.997672i
\(396\) 0.889376 + 3.20324i 0.0446928 + 0.160969i
\(397\) −10.7905 10.2213i −0.541559 0.512992i 0.367296 0.930104i \(-0.380284\pi\)
−0.908855 + 0.417112i \(0.863042\pi\)
\(398\) 4.83216 + 12.1278i 0.242214 + 0.607912i
\(399\) 0.481831 0.162348i 0.0241217 0.00812755i
\(400\) −1.50953 + 0.164171i −0.0754764 + 0.00820855i
\(401\) 28.0445 + 12.9748i 1.40047 + 0.647928i 0.967359 0.253410i \(-0.0815522\pi\)
0.433115 + 0.901338i \(0.357414\pi\)
\(402\) 6.83160 6.47123i 0.340729 0.322756i
\(403\) −1.25772 0.756748i −0.0626517 0.0376963i
\(404\) −8.00618 0.870724i −0.398322 0.0433202i
\(405\) −2.49343 + 0.548846i −0.123900 + 0.0272724i
\(406\) −0.0855604 + 0.308161i −0.00424629 + 0.0152938i
\(407\) −13.2939 + 7.99870i −0.658956 + 0.396481i
\(408\) 1.74693 0.808215i 0.0864858 0.0400126i
\(409\) −1.16723 + 2.92954i −0.0577160 + 0.144856i −0.955007 0.296583i \(-0.904153\pi\)
0.897291 + 0.441440i \(0.145532\pi\)
\(410\) 0.803903 14.8271i 0.0397019 0.732259i
\(411\) −2.18207 3.21831i −0.107634 0.158748i
\(412\) 11.7312 0.577952
\(413\) 1.39842 + 1.71275i 0.0688120 + 0.0842790i
\(414\) 2.14058 0.105204
\(415\) −19.1538 28.2497i −0.940221 1.38672i
\(416\) −0.0760049 + 1.40183i −0.00372645 + 0.0687303i
\(417\) −1.85955 + 4.66713i −0.0910628 + 0.228550i
\(418\) −5.32911 + 2.46551i −0.260655 + 0.120592i
\(419\) 17.9628 10.8079i 0.877541 0.527999i −0.00406133 0.999992i \(-0.501293\pi\)
0.881602 + 0.471993i \(0.156465\pi\)
\(420\) 0.196621 0.708165i 0.00959412 0.0345549i
\(421\) −9.57544 + 2.10771i −0.466679 + 0.102724i −0.442084 0.896974i \(-0.645761\pi\)
−0.0245948 + 0.999698i \(0.507830\pi\)
\(422\) −26.3444 2.86513i −1.28243 0.139472i
\(423\) −4.27289 2.57092i −0.207755 0.125002i
\(424\) 1.28063 1.21307i 0.0621927 0.0589121i
\(425\) 2.65258 + 1.22722i 0.128669 + 0.0595287i
\(426\) 2.70799 0.294512i 0.131203 0.0142691i
\(427\) −0.209264 + 0.0705093i −0.0101270 + 0.00341218i
\(428\) −1.01617 2.55039i −0.0491183 0.123278i
\(429\) 3.38830 + 3.20957i 0.163589 + 0.154959i
\(430\) −2.16896 7.81187i −0.104596 0.376722i
\(431\) 2.83362 + 5.34478i 0.136491 + 0.257449i 0.942330 0.334686i \(-0.108630\pi\)
−0.805839 + 0.592135i \(0.798285\pi\)
\(432\) −0.796093 + 0.605174i −0.0383020 + 0.0291165i
\(433\) 0.168043 + 3.09937i 0.00807563 + 0.148946i 0.999790 + 0.0204850i \(0.00652104\pi\)
−0.991715 + 0.128461i \(0.958996\pi\)
\(434\) 0.285222 + 0.0961025i 0.0136911 + 0.00461307i
\(435\) 2.77020 + 0.609768i 0.132821 + 0.0292361i
\(436\) −3.62811 + 6.84333i −0.173755 + 0.327736i
\(437\) 0.611672 + 3.73104i 0.0292603 + 0.178480i
\(438\) −5.80197 + 6.83061i −0.277229 + 0.326379i
\(439\) −6.28982 7.40495i −0.300197 0.353419i 0.591295 0.806455i \(-0.298617\pi\)
−0.891492 + 0.453036i \(0.850341\pi\)
\(440\) −1.37315 + 8.37583i −0.0654622 + 0.399302i
\(441\) −5.50668 4.18607i −0.262223 0.199337i
\(442\) 1.51646 2.23662i 0.0721308 0.106385i
\(443\) 10.6849 15.7591i 0.507657 0.748738i −0.484356 0.874871i \(-0.660946\pi\)
0.992013 + 0.126133i \(0.0402565\pi\)
\(444\) −3.71530 2.82430i −0.176320 0.134035i
\(445\) −6.56880 + 40.0679i −0.311391 + 1.89940i
\(446\) 9.68739 + 11.4049i 0.458711 + 0.540037i
\(447\) 7.32989 8.62941i 0.346692 0.408157i
\(448\) −0.0465714 0.284073i −0.00220029 0.0134212i
\(449\) −17.3944 + 32.8093i −0.820892 + 1.54837i 0.0152703 + 0.999883i \(0.495139\pi\)
−0.836162 + 0.548483i \(0.815206\pi\)
\(450\) −1.48293 0.326417i −0.0699059 0.0153875i
\(451\) −18.3226 6.17361i −0.862778 0.290704i
\(452\) 0.761688 + 14.0485i 0.0358268 + 0.660786i
\(453\) 16.2564 12.3578i 0.763791 0.580619i
\(454\) 3.72515 + 7.02639i 0.174830 + 0.329765i
\(455\) −0.276034 0.994184i −0.0129407 0.0466081i
\(456\) −1.28230 1.21466i −0.0600493 0.0568817i
\(457\) −8.08239 20.2853i −0.378078 0.948905i −0.987721 0.156228i \(-0.950066\pi\)
0.609643 0.792676i \(-0.291313\pi\)
\(458\) −19.2224 + 6.47679i −0.898205 + 0.302641i
\(459\) 1.91355 0.208111i 0.0893167 0.00971377i
\(460\) 4.96005 + 2.29476i 0.231264 + 0.106994i
\(461\) −8.18331 + 7.75164i −0.381135 + 0.361030i −0.854152 0.520023i \(-0.825923\pi\)
0.473018 + 0.881053i \(0.343165\pi\)
\(462\) −0.819998 0.493376i −0.0381497 0.0229539i
\(463\) −10.9754 1.19364i −0.510068 0.0554733i −0.150533 0.988605i \(-0.548099\pi\)
−0.359535 + 0.933132i \(0.617065\pi\)
\(464\) 1.08503 0.238832i 0.0503711 0.0110875i
\(465\) 0.714144 2.57212i 0.0331177 0.119279i
\(466\) 9.15902 5.51080i 0.424283 0.255283i
\(467\) 19.6688 9.09973i 0.910161 0.421085i 0.0917921 0.995778i \(-0.470740\pi\)
0.818369 + 0.574693i \(0.194878\pi\)
\(468\) −0.519632 + 1.30418i −0.0240200 + 0.0602857i
\(469\) −0.146652 + 2.70483i −0.00677174 + 0.124897i
\(470\) −7.14485 10.5379i −0.329567 0.486075i
\(471\) −18.1279 −0.835289
\(472\) 2.98127 7.07899i 0.137224 0.325837i
\(473\) −10.5566 −0.485394
\(474\) 4.93299 + 7.27561i 0.226580 + 0.334180i
\(475\) 0.145198 2.67802i 0.00666214 0.122876i
\(476\) −0.205090 + 0.514737i −0.00940029 + 0.0235930i
\(477\) 1.60093 0.740667i 0.0733014 0.0339128i
\(478\) 14.9169 8.97520i 0.682283 0.410516i
\(479\) −0.940844 + 3.38861i −0.0429882 + 0.154830i −0.981929 0.189249i \(-0.939395\pi\)
0.938941 + 0.344078i \(0.111809\pi\)
\(480\) −2.49343 + 0.548846i −0.113809 + 0.0250513i
\(481\) −6.51341 0.708376i −0.296986 0.0322992i
\(482\) 0.404393 + 0.243315i 0.0184196 + 0.0110827i
\(483\) −0.447358 + 0.423760i −0.0203555 + 0.0192817i
\(484\) 0.0469626 + 0.0217272i 0.00213467 + 0.000987601i
\(485\) −13.8114 + 1.50208i −0.627145 + 0.0682061i
\(486\) −0.947653 + 0.319302i −0.0429864 + 0.0144838i
\(487\) 13.3357 + 33.4701i 0.604299 + 1.51668i 0.838733 + 0.544543i \(0.183297\pi\)
−0.234434 + 0.972132i \(0.575324\pi\)
\(488\) 0.556917 + 0.527540i 0.0252104 + 0.0238806i
\(489\) −1.08868 3.92107i −0.0492318 0.177317i
\(490\) −8.27222 15.6031i −0.373701 0.704875i
\(491\) −24.5906 + 18.6933i −1.10976 + 0.843617i −0.988831 0.149044i \(-0.952380\pi\)
−0.120929 + 0.992661i \(0.538587\pi\)
\(492\) −0.314870 5.80744i −0.0141955 0.261820i
\(493\) −2.02654 0.682822i −0.0912709 0.0307528i
\(494\) −2.42167 0.533049i −0.108956 0.0239830i
\(495\) −3.97568 + 7.49893i −0.178694 + 0.337052i
\(496\) −0.169151 1.03178i −0.00759511 0.0463281i
\(497\) −0.507637 + 0.597636i −0.0227706 + 0.0268076i
\(498\) −8.65443 10.1888i −0.387814 0.456570i
\(499\) 1.72061 10.4952i 0.0770250 0.469832i −0.919945 0.392047i \(-0.871767\pi\)
0.996970 0.0777847i \(-0.0247847\pi\)
\(500\) 7.07637 + 5.37932i 0.316465 + 0.240570i
\(501\) −1.08933 + 1.60664i −0.0486676 + 0.0717794i
\(502\) −9.48945 + 13.9959i −0.423535 + 0.624667i
\(503\) −2.56829 1.95236i −0.114514 0.0870515i 0.546350 0.837557i \(-0.316017\pi\)
−0.660864 + 0.750506i \(0.729810\pi\)
\(504\) 0.0465714 0.284073i 0.00207445 0.0126536i
\(505\) −13.3111 15.6710i −0.592336 0.697351i
\(506\) 4.60692 5.42369i 0.204803 0.241112i
\(507\) −1.78431 10.8838i −0.0792440 0.483367i
\(508\) 4.33400 8.17478i 0.192290 0.362697i
\(509\) −22.9184 5.04472i −1.01584 0.223603i −0.324310 0.945951i \(-0.605132\pi\)
−0.691530 + 0.722347i \(0.743063\pi\)
\(510\) 4.65707 + 1.56915i 0.206219 + 0.0694832i
\(511\) −0.139672 2.57611i −0.00617874 0.113960i
\(512\) −0.796093 + 0.605174i −0.0351827 + 0.0267452i
\(513\) −0.827335 1.56052i −0.0365277 0.0688986i
\(514\) −1.19759 4.31334i −0.0528235 0.190253i
\(515\) 21.7443 + 20.5973i 0.958170 + 0.907627i
\(516\) −1.17537 2.94995i −0.0517426 0.129864i
\(517\) −15.7101 + 5.29335i −0.690929 + 0.232801i
\(518\) 1.33557 0.145251i 0.0586814 0.00638198i
\(519\) 22.1829 + 10.2629i 0.973722 + 0.450492i
\(520\) −2.60218 + 2.46492i −0.114113 + 0.108094i
\(521\) −2.01527 1.21255i −0.0882907 0.0531228i 0.470724 0.882281i \(-0.343993\pi\)
−0.559015 + 0.829158i \(0.688820\pi\)
\(522\) 1.10449 + 0.120120i 0.0483421 + 0.00525752i
\(523\) −42.0526 + 9.25647i −1.83883 + 0.404757i −0.991908 0.126958i \(-0.959479\pi\)
−0.846923 + 0.531715i \(0.821548\pi\)
\(524\) 5.04679 18.1769i 0.220470 0.794062i
\(525\) 0.374534 0.225350i 0.0163460 0.00983507i
\(526\) −1.87688 + 0.868337i −0.0818358 + 0.0378613i
\(527\) −0.744905 + 1.86957i −0.0324486 + 0.0814398i
\(528\) −0.179980 + 3.31954i −0.00783264 + 0.144464i
\(529\) 10.3359 + 15.2443i 0.449386 + 0.662795i
\(530\) 4.50360 0.195624
\(531\) 5.08554 5.75650i 0.220694 0.249811i
\(532\) 0.508446 0.0220439
\(533\) −4.58208 6.75806i −0.198472 0.292724i
\(534\) −0.860981 + 15.8799i −0.0372583 + 0.687189i
\(535\) 2.59440 6.51144i 0.112166 0.281514i
\(536\) 8.54026 3.95114i 0.368883 0.170663i
\(537\) 11.4700 6.90125i 0.494966 0.297811i
\(538\) 3.45251 12.4348i 0.148848 0.536102i
\(539\) −22.4578 + 4.94334i −0.967326 + 0.212925i
\(540\) −2.53815 0.276041i −0.109225 0.0118789i
\(541\) −8.50907 5.11974i −0.365833 0.220115i 0.320753 0.947163i \(-0.396064\pi\)
−0.686586 + 0.727048i \(0.740892\pi\)
\(542\) −16.0754 + 15.2274i −0.690498 + 0.654075i
\(543\) 7.52939 + 3.48347i 0.323117 + 0.149490i
\(544\) 1.91355 0.208111i 0.0820426 0.00892267i
\(545\) −18.7403 + 6.31434i −0.802745 + 0.270476i
\(546\) −0.149584 0.375427i −0.00640160 0.0160668i
\(547\) −9.05874 8.58090i −0.387324 0.366893i 0.469119 0.883135i \(-0.344572\pi\)
−0.856442 + 0.516243i \(0.827330\pi\)
\(548\) −1.04023 3.74658i −0.0444366 0.160046i
\(549\) 0.359320 + 0.677749i 0.0153354 + 0.0289256i
\(550\) −4.01859 + 3.05485i −0.171353 + 0.130259i
\(551\) 0.106238 + 1.95945i 0.00452590 + 0.0834752i
\(552\) 2.02853 + 0.683491i 0.0863400 + 0.0290913i
\(553\) −2.47125 0.543964i −0.105088 0.0231317i
\(554\) −7.77218 + 14.6599i −0.330208 + 0.622839i
\(555\) −1.92766 11.7582i −0.0818248 0.499109i
\(556\) −3.25243 + 3.82906i −0.137934 + 0.162388i
\(557\) 21.2938 + 25.0690i 0.902248 + 1.06221i 0.997768 + 0.0667811i \(0.0212729\pi\)
−0.0955194 + 0.995428i \(0.530451\pi\)
\(558\) 0.169151 1.03178i 0.00716074 0.0436786i
\(559\) −3.54900 2.69788i −0.150107 0.114108i
\(560\) 0.412447 0.608313i 0.0174291 0.0257059i
\(561\) 3.59100 5.29633i 0.151612 0.223611i
\(562\) −14.3923 10.9407i −0.607101 0.461506i
\(563\) −2.59547 + 15.8316i −0.109386 + 0.667224i 0.874032 + 0.485869i \(0.161497\pi\)
−0.983418 + 0.181356i \(0.941952\pi\)
\(564\) −3.22833 3.80068i −0.135937 0.160037i
\(565\) −23.2543 + 27.3770i −0.978314 + 1.15176i
\(566\) 4.13514 + 25.2232i 0.173813 + 1.06021i
\(567\) 0.134838 0.254332i 0.00566268 0.0106809i
\(568\) 2.66028 + 0.585571i 0.111623 + 0.0245700i
\(569\) −15.5541 5.24079i −0.652062 0.219705i −0.0262215 0.999656i \(-0.508348\pi\)
−0.625841 + 0.779951i \(0.715244\pi\)
\(570\) −0.244139 4.50288i −0.0102259 0.188605i
\(571\) 1.84460 1.40223i 0.0771942 0.0586815i −0.565865 0.824498i \(-0.691458\pi\)
0.643060 + 0.765816i \(0.277665\pi\)
\(572\) 2.18611 + 4.12345i 0.0914059 + 0.172410i
\(573\) −2.92425 10.5322i −0.122162 0.439988i
\(574\) 1.21547 + 1.15136i 0.0507328 + 0.0480567i
\(575\) 1.20307 + 3.01947i 0.0501714 + 0.125921i
\(576\) −0.947653 + 0.319302i −0.0394855 + 0.0133042i
\(577\) 13.0879 1.42339i 0.544856 0.0592566i 0.168448 0.985711i \(-0.446125\pi\)
0.376408 + 0.926454i \(0.377159\pi\)
\(578\) 12.0662 + 5.58244i 0.501890 + 0.232199i
\(579\) −12.5134 + 11.8533i −0.520039 + 0.492607i
\(580\) 2.43049 + 1.46238i 0.100921 + 0.0607220i
\(581\) 3.82569 + 0.416069i 0.158717 + 0.0172615i
\(582\) −5.31431 + 1.16977i −0.220285 + 0.0484884i
\(583\) 1.56882 5.65039i 0.0649740 0.234015i
\(584\) −7.67928 + 4.62047i −0.317771 + 0.191196i
\(585\) −3.25302 + 1.50501i −0.134496 + 0.0622244i
\(586\) −3.40331 + 8.54167i −0.140590 + 0.352853i
\(587\) −2.18725 + 40.3414i −0.0902774 + 1.66507i 0.506182 + 0.862426i \(0.331056\pi\)
−0.596460 + 0.802643i \(0.703426\pi\)
\(588\) −3.88181 5.72524i −0.160083 0.236105i
\(589\) 1.84672 0.0760928
\(590\) 17.9551 7.88684i 0.739199 0.324696i
\(591\) 12.9235 0.531604
\(592\) −2.61901 3.86275i −0.107641 0.158758i
\(593\) −0.358508 + 6.61228i −0.0147221 + 0.271534i 0.981899 + 0.189403i \(0.0606553\pi\)
−0.996622 + 0.0821308i \(0.973827\pi\)
\(594\) −1.23049 + 3.08831i −0.0504878 + 0.126715i
\(595\) −1.28391 + 0.594001i −0.0526352 + 0.0243517i
\(596\) 9.70157 5.83724i 0.397392 0.239103i
\(597\) −3.49259 + 12.5792i −0.142942 + 0.514831i
\(598\) 2.93488 0.646016i 0.120016 0.0264176i
\(599\) −42.2194 4.59164i −1.72504 0.187609i −0.808757 0.588142i \(-0.799859\pi\)
−0.916282 + 0.400533i \(0.868825\pi\)
\(600\) −1.30108 0.782832i −0.0531162 0.0319590i
\(601\) −10.9665 + 10.3880i −0.447331 + 0.423735i −0.877915 0.478816i \(-0.841066\pi\)
0.430584 + 0.902550i \(0.358308\pi\)
\(602\) 0.829623 + 0.383824i 0.0338129 + 0.0156435i
\(603\) 9.35481 1.01740i 0.380957 0.0414316i
\(604\) 19.3513 6.52020i 0.787392 0.265303i
\(605\) 0.0488996 + 0.122729i 0.00198805 + 0.00498963i
\(606\) −5.84672 5.53831i −0.237507 0.224978i
\(607\) −9.94268 35.8103i −0.403561 1.45350i −0.834446 0.551089i \(-0.814212\pi\)
0.430885 0.902407i \(-0.358201\pi\)
\(608\) −0.827335 1.56052i −0.0335528 0.0632874i
\(609\) −0.254605 + 0.193546i −0.0103171 + 0.00784287i
\(610\) 0.106032 + 1.95565i 0.00429311 + 0.0791818i
\(611\) −6.63431 2.23536i −0.268395 0.0904329i
\(612\) 1.87983 + 0.413781i 0.0759875 + 0.0167261i
\(613\) 7.76041 14.6377i 0.313440 0.591211i −0.675873 0.737018i \(-0.736233\pi\)
0.989313 + 0.145807i \(0.0465780\pi\)
\(614\) 3.01470 + 18.3889i 0.121663 + 0.742114i
\(615\) 9.61297 11.3173i 0.387632 0.456356i
\(616\) −0.619538 0.729376i −0.0249619 0.0293874i
\(617\) 4.06581 24.8004i 0.163684 0.998425i −0.769400 0.638767i \(-0.779445\pi\)
0.933084 0.359659i \(-0.117107\pi\)
\(618\) 9.33909 + 7.09939i 0.375673 + 0.285579i
\(619\) 24.8969 36.7201i 1.00069 1.47591i 0.125519 0.992091i \(-0.459940\pi\)
0.875170 0.483815i \(-0.160749\pi\)
\(620\) 1.49804 2.20945i 0.0601628 0.0887335i
\(621\) 1.70410 + 1.29543i 0.0683833 + 0.0519836i
\(622\) −0.739583 + 4.51126i −0.0296546 + 0.180885i
\(623\) −2.96371 3.48915i −0.118739 0.139790i
\(624\) −0.908858 + 1.06999i −0.0363834 + 0.0428339i
\(625\) 4.89981 + 29.8875i 0.195993 + 1.19550i
\(626\) −0.678633 + 1.28004i −0.0271236 + 0.0511606i
\(627\) −5.73453 1.26227i −0.229015 0.0504100i
\(628\) −17.1789 5.78826i −0.685515 0.230977i
\(629\) 0.486330 + 8.96984i 0.0193913 + 0.357651i
\(630\) 0.585092 0.444775i 0.0233106 0.0177203i
\(631\) −1.42343 2.68486i −0.0566657 0.106883i 0.853561 0.520992i \(-0.174438\pi\)
−0.910227 + 0.414109i \(0.864093\pi\)
\(632\) 2.35165 + 8.46987i 0.0935435 + 0.336913i
\(633\) −19.2387 18.2239i −0.764670 0.724334i
\(634\) 11.5529 + 28.9955i 0.458823 + 1.15156i
\(635\) 22.3864 7.54286i 0.888378 0.299329i
\(636\) 1.75362 0.190718i 0.0695355 0.00756244i
\(637\) −8.81335 4.07749i −0.349198 0.161556i
\(638\) 2.68141 2.53997i 0.106158 0.100558i
\(639\) 2.33404 + 1.40435i 0.0923334 + 0.0555551i
\(640\) −2.53815 0.276041i −0.100329 0.0109115i
\(641\) −14.5675 + 3.20655i −0.575382 + 0.126651i −0.493123 0.869960i \(-0.664145\pi\)
−0.0822594 + 0.996611i \(0.526214\pi\)
\(642\) 0.734464 2.64530i 0.0289870 0.104402i
\(643\) 14.9490 8.99449i 0.589529 0.354708i −0.189324 0.981915i \(-0.560630\pi\)
0.778853 + 0.627207i \(0.215802\pi\)
\(644\) −0.559247 + 0.258735i −0.0220374 + 0.0101956i
\(645\) 3.00085 7.53157i 0.118158 0.296555i
\(646\) −0.184059 + 3.39478i −0.00724172 + 0.133566i
\(647\) 6.80237 + 10.0327i 0.267429 + 0.394428i 0.937565 0.347810i \(-0.113075\pi\)
−0.670136 + 0.742238i \(0.733764\pi\)
\(648\) −1.00000 −0.0392837
\(649\) −3.64050 25.2745i −0.142902 0.992110i
\(650\) −2.13170 −0.0836123
\(651\) 0.168905 + 0.249116i 0.00661989 + 0.00976361i
\(652\) 0.220313 4.06343i 0.00862812 0.159136i
\(653\) −3.95676 + 9.93071i −0.154840 + 0.388619i −0.985848 0.167642i \(-0.946385\pi\)
0.831008 + 0.556260i \(0.187764\pi\)
\(654\) −7.02972 + 3.25229i −0.274884 + 0.127175i
\(655\) 41.2692 24.8308i 1.61252 0.970221i
\(656\) 1.55594 5.60398i 0.0607492 0.218799i
\(657\) −8.75262 + 1.92660i −0.341472 + 0.0751637i
\(658\) 1.42708 + 0.155205i 0.0556335 + 0.00605051i
\(659\) −20.7927 12.5106i −0.809970 0.487343i 0.0493495 0.998782i \(-0.484285\pi\)
−0.859320 + 0.511439i \(0.829113\pi\)
\(660\) −6.16199 + 5.83694i −0.239855 + 0.227203i
\(661\) −1.24254 0.574859i −0.0483291 0.0223594i 0.395576 0.918433i \(-0.370545\pi\)
−0.443905 + 0.896074i \(0.646407\pi\)
\(662\) 14.7848 1.60794i 0.574628 0.0624945i
\(663\) 2.56079 0.862831i 0.0994528 0.0335096i
\(664\) −4.94810 12.4188i −0.192024 0.481943i
\(665\) 0.942433 + 0.892720i 0.0365460 + 0.0346182i
\(666\) −1.24853 4.49680i −0.0483796 0.174248i
\(667\) −1.11396 2.10116i −0.0431329 0.0813572i
\(668\) −1.54531 + 1.17471i −0.0597898 + 0.0454510i
\(669\) 0.810126 + 14.9419i 0.0313213 + 0.577687i
\(670\) 22.7672 + 7.67116i 0.879573 + 0.296363i
\(671\) 2.49056 + 0.548215i 0.0961472 + 0.0211636i
\(672\) 0.134838 0.254332i 0.00520150 0.00981108i
\(673\) −4.58029 27.9385i −0.176557 1.07695i −0.915243 0.402902i \(-0.868002\pi\)
0.738686 0.674050i \(-0.235447\pi\)
\(674\) −17.9217 + 21.0990i −0.690317 + 0.812704i
\(675\) −0.983010 1.15729i −0.0378361 0.0445441i
\(676\) 1.78431 10.8838i 0.0686273 0.418608i
\(677\) −5.98062 4.54635i −0.229854 0.174730i 0.483908 0.875119i \(-0.339217\pi\)
−0.713762 + 0.700389i \(0.753010\pi\)
\(678\) −7.89542 + 11.6449i −0.303222 + 0.447219i
\(679\) 0.879057 1.29651i 0.0337351 0.0497556i
\(680\) 3.91226 + 2.97402i 0.150028 + 0.114049i
\(681\) −1.28662 + 7.84802i −0.0493033 + 0.300737i
\(682\) −2.25021 2.64916i −0.0861651 0.101441i
\(683\) 23.1664 27.2736i 0.886438 1.04360i −0.112315 0.993673i \(-0.535826\pi\)
0.998753 0.0499234i \(-0.0158977\pi\)
\(684\) −0.285750 1.74300i −0.0109259 0.0666453i
\(685\) 4.65004 8.77091i 0.177669 0.335119i
\(686\) 3.91259 + 0.861226i 0.149383 + 0.0328818i
\(687\) −19.2224 6.47679i −0.733381 0.247105i
\(688\) −0.171917 3.17082i −0.00655427 0.120886i
\(689\) 1.97145 1.49865i 0.0751061 0.0570942i
\(690\) 2.55993 + 4.82854i 0.0974549 + 0.183819i
\(691\) 2.71509 + 9.77888i 0.103287 + 0.372006i 0.997070 0.0764933i \(-0.0243724\pi\)
−0.893783 + 0.448500i \(0.851959\pi\)
\(692\) 17.7448 + 16.8087i 0.674554 + 0.638972i
\(693\) −0.354216 0.889015i −0.0134555 0.0337709i
\(694\) 8.35609 2.81550i 0.317193 0.106875i
\(695\) −12.7516 + 1.38682i −0.483694 + 0.0526049i
\(696\) 1.00832 + 0.466497i 0.0382202 + 0.0176825i
\(697\) −8.12734 + 7.69863i −0.307845 + 0.291606i
\(698\) 9.40158 + 5.65674i 0.355855 + 0.214111i
\(699\) 10.6264 + 1.15569i 0.401928 + 0.0437123i
\(700\) 0.426883 0.0939641i 0.0161347 0.00355151i
\(701\) 7.22399 26.0184i 0.272846 0.982703i −0.692433 0.721482i \(-0.743461\pi\)
0.965279 0.261221i \(-0.0841251\pi\)
\(702\) −1.20293 + 0.723780i −0.0454017 + 0.0273173i
\(703\) 7.48116 3.46115i 0.282157 0.130540i
\(704\) −1.23049 + 3.08831i −0.0463760 + 0.116395i
\(705\) 0.689278 12.7130i 0.0259597 0.478799i
\(706\) 18.9369 + 27.9299i 0.712701 + 1.05116i
\(707\) 2.31829 0.0871882
\(708\) 6.65739 3.83135i 0.250200 0.143991i
\(709\) 13.1464 0.493724 0.246862 0.969051i \(-0.420601\pi\)
0.246862 + 0.969051i \(0.420601\pi\)
\(710\) 3.90283 + 5.75625i 0.146471 + 0.216028i
\(711\) −0.475896 + 8.77738i −0.0178475 + 0.329177i
\(712\) −5.88638 + 14.7737i −0.220601 + 0.553667i
\(713\) −2.03123 + 0.939748i −0.0760703 + 0.0351938i
\(714\) −0.474777 + 0.285664i −0.0177681 + 0.0106907i
\(715\) −3.18778 + 11.4814i −0.119216 + 0.429379i
\(716\) 13.0731 2.87761i 0.488566 0.107541i
\(717\) 17.3068 + 1.88223i 0.646334 + 0.0702931i
\(718\) 11.1958 + 6.73628i 0.417823 + 0.251396i
\(719\) 29.8330 28.2594i 1.11258 1.05390i 0.114414 0.993433i \(-0.463501\pi\)
0.998170 0.0604629i \(-0.0192577\pi\)
\(720\) −2.31715 1.07203i −0.0863551 0.0399521i
\(721\) −3.35719 + 0.365117i −0.125028 + 0.0135977i
\(722\) −15.0490 + 5.07060i −0.560066 + 0.188708i
\(723\) 0.174686 + 0.438430i 0.00649666 + 0.0163054i
\(724\) 6.02297 + 5.70526i 0.223842 + 0.212034i
\(725\) 0.451314 + 1.62548i 0.0167614 + 0.0603690i
\(726\) 0.0242379 + 0.0457175i 0.000899552 + 0.00169673i
\(727\) 20.0982 15.2783i 0.745403 0.566640i −0.162056 0.986782i \(-0.551813\pi\)
0.907459 + 0.420141i \(0.138019\pi\)
\(728\) −0.0218792 0.403537i −0.000810895 0.0149561i
\(729\) −0.947653 0.319302i −0.0350983 0.0118260i
\(730\) −22.3465 4.91884i −0.827081 0.182054i
\(731\) −2.86303 + 5.40025i −0.105893 + 0.199736i
\(732\) 0.124104 + 0.757002i 0.00458702 + 0.0279796i
\(733\) 13.2092 15.5511i 0.487895 0.574394i −0.462033 0.886862i \(-0.652880\pi\)
0.949928 + 0.312468i \(0.101156\pi\)
\(734\) −10.4054 12.2502i −0.384070 0.452162i
\(735\) 2.85712 17.4276i 0.105386 0.642828i
\(736\) 1.70410 + 1.29543i 0.0628141 + 0.0477500i
\(737\) 17.5554 25.8923i 0.646663 0.953756i
\(738\) 3.26385 4.81382i 0.120144 0.177199i
\(739\) 10.3034 + 7.83245i 0.379017 + 0.288121i 0.777286 0.629147i \(-0.216596\pi\)
−0.398269 + 0.917269i \(0.630389\pi\)
\(740\) 1.92766 11.7582i 0.0708623 0.432241i
\(741\) −1.60529 1.88989i −0.0589716 0.0694268i
\(742\) −0.328731 + 0.387012i −0.0120681 + 0.0142077i
\(743\) 2.79422 + 17.0440i 0.102510 + 0.625282i 0.987247 + 0.159193i \(0.0508892\pi\)
−0.884738 + 0.466089i \(0.845663\pi\)
\(744\) 0.489744 0.923756i 0.0179549 0.0338665i
\(745\) 28.2313 + 6.21418i 1.03432 + 0.227670i
\(746\) −1.94908 0.656722i −0.0713609 0.0240443i
\(747\) −0.723743 13.3487i −0.0264804 0.488402i
\(748\) 5.09415 3.87247i 0.186260 0.141592i
\(749\) 0.370181 + 0.698236i 0.0135261 + 0.0255130i
\(750\) 2.37803 + 8.56488i 0.0868332 + 0.312745i
\(751\) −2.77665 2.63018i −0.101321 0.0959768i 0.635362 0.772214i \(-0.280851\pi\)
−0.736684 + 0.676237i \(0.763609\pi\)
\(752\) −1.84577 4.63253i −0.0673083 0.168931i
\(753\) −16.0244 + 5.39926i −0.583963 + 0.196760i
\(754\) 1.55058 0.168635i 0.0564687 0.00614134i
\(755\) 47.3167 + 21.8910i 1.72203 + 0.796696i
\(756\) 0.208989 0.197965i 0.00760084 0.00719990i
\(757\) −28.3731 17.0715i −1.03124 0.620475i −0.103856 0.994592i \(-0.533118\pi\)
−0.927381 + 0.374117i \(0.877946\pi\)
\(758\) −3.94834 0.429408i −0.143410 0.0155968i
\(759\) 6.94982 1.52977i 0.252262 0.0555271<