Properties

Label 804.2.bd.a.23.15
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 23.15
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.32151 - 0.503605i) q^{2} +(-0.807567 + 1.53227i) q^{3} +(1.49276 + 1.33104i) q^{4} +(1.52869 - 0.698128i) q^{5} +(1.83886 - 1.61820i) q^{6} +(1.04475 + 1.09570i) q^{7} +(-1.30238 - 2.51074i) q^{8} +(-1.69567 - 2.47481i) q^{9} +O(q^{10})\) \(q+(-1.32151 - 0.503605i) q^{2} +(-0.807567 + 1.53227i) q^{3} +(1.49276 + 1.33104i) q^{4} +(1.52869 - 0.698128i) q^{5} +(1.83886 - 1.61820i) q^{6} +(1.04475 + 1.09570i) q^{7} +(-1.30238 - 2.51074i) q^{8} +(-1.69567 - 2.47481i) q^{9} +(-2.37175 + 0.152726i) q^{10} +(-5.23463 - 0.499846i) q^{11} +(-3.24501 + 1.21241i) q^{12} +(0.612752 + 0.118098i) q^{13} +(-0.828840 - 1.97411i) q^{14} +(-0.164799 + 2.90614i) q^{15} +(0.456684 + 3.97384i) q^{16} +(-0.485613 + 0.941958i) q^{17} +(0.994515 + 4.12443i) q^{18} +(-1.38544 + 1.45301i) q^{19} +(3.21120 + 0.992598i) q^{20} +(-2.52260 + 0.715979i) q^{21} +(6.66587 + 3.29674i) q^{22} +(-6.96464 + 2.78822i) q^{23} +(4.89887 + 0.0319961i) q^{24} +(-1.42480 + 1.64431i) q^{25} +(-0.750281 - 0.464653i) q^{26} +(5.16144 - 0.599644i) q^{27} +(0.101144 + 3.02621i) q^{28} +(-0.764613 - 0.441450i) q^{29} +(1.68133 - 3.75749i) q^{30} +(0.0393964 + 0.204408i) q^{31} +(1.39774 - 5.48145i) q^{32} +(4.99321 - 7.61718i) q^{33} +(1.11612 - 1.00025i) q^{34} +(2.36203 + 0.945613i) q^{35} +(0.762828 - 5.95131i) q^{36} +(-1.01951 - 1.76584i) q^{37} +(2.56261 - 1.22245i) q^{38} +(-0.675796 + 0.843526i) q^{39} +(-3.74375 - 2.92890i) q^{40} +(-4.04507 + 0.192690i) q^{41} +(3.69421 + 0.324225i) q^{42} +(3.73853 + 5.81727i) q^{43} +(-7.14875 - 7.71363i) q^{44} +(-4.31989 - 2.59942i) q^{45} +(10.6080 - 0.177224i) q^{46} +(-0.0698247 - 0.0549108i) q^{47} +(-6.45779 - 2.50938i) q^{48} +(0.224013 - 4.70262i) q^{49} +(2.71097 - 1.45543i) q^{50} +(-1.05116 - 1.50478i) q^{51} +(0.757501 + 0.991888i) q^{52} +(-2.65330 + 4.12862i) q^{53} +(-7.12286 - 1.80689i) q^{54} +(-8.35106 + 2.89033i) q^{55} +(1.39035 - 4.05010i) q^{56} +(-1.10756 - 3.29626i) q^{57} +(0.788126 + 0.968443i) q^{58} +(6.73393 + 7.77137i) q^{59} +(-4.11418 + 4.11882i) q^{60} +(-7.78977 + 0.743833i) q^{61} +(0.0508783 - 0.289967i) q^{62} +(0.940100 - 4.44350i) q^{63} +(-4.60761 + 6.53987i) q^{64} +(1.01915 - 0.247244i) q^{65} +(-10.4346 + 7.55155i) q^{66} +(-7.46951 - 3.34760i) q^{67} +(-1.97869 + 0.759751i) q^{68} +(1.35212 - 12.9233i) q^{69} +(-2.64522 - 2.43916i) q^{70} +(-13.2567 + 6.83431i) q^{71} +(-4.00519 + 7.48054i) q^{72} +(-6.69906 + 0.639683i) q^{73} +(0.458002 + 2.84700i) q^{74} +(-1.36890 - 3.51106i) q^{75} +(-4.00214 + 0.324925i) q^{76} +(-4.92118 - 6.25779i) q^{77} +(1.31787 - 0.774392i) q^{78} +(-8.59824 + 2.97588i) q^{79} +(3.47238 + 5.75594i) q^{80} +(-3.24939 + 8.39294i) q^{81} +(5.44262 + 1.78248i) q^{82} +(4.64722 - 6.52611i) q^{83} +(-4.71864 - 2.28889i) q^{84} +(-0.0847432 + 1.77898i) q^{85} +(-2.01089 - 9.57031i) q^{86} +(1.29389 - 0.815090i) q^{87} +(5.56249 + 13.7938i) q^{88} +(1.14850 - 0.165129i) q^{89} +(4.39968 + 5.61067i) q^{90} +(0.510770 + 0.794774i) q^{91} +(-14.1078 - 5.10803i) q^{92} +(-0.345022 - 0.104707i) q^{93} +(0.0646205 + 0.107729i) q^{94} +(-1.10352 + 3.18841i) q^{95} +(7.27027 + 6.56834i) q^{96} +(2.15222 + 3.72775i) q^{97} +(-2.66430 + 6.10173i) q^{98} +(7.63919 + 13.8023i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32151 0.503605i −0.934447 0.356103i
\(3\) −0.807567 + 1.53227i −0.466249 + 0.884654i
\(4\) 1.49276 + 1.33104i 0.746382 + 0.665518i
\(5\) 1.52869 0.698128i 0.683650 0.312212i −0.0431434 0.999069i \(-0.513737\pi\)
0.726793 + 0.686857i \(0.241010\pi\)
\(6\) 1.83886 1.61820i 0.750712 0.660629i
\(7\) 1.04475 + 1.09570i 0.394877 + 0.414135i 0.890918 0.454164i \(-0.150062\pi\)
−0.496041 + 0.868299i \(0.665214\pi\)
\(8\) −1.30238 2.51074i −0.460461 0.887680i
\(9\) −1.69567 2.47481i −0.565224 0.824937i
\(10\) −2.37175 + 0.152726i −0.750014 + 0.0482963i
\(11\) −5.23463 0.499846i −1.57830 0.150709i −0.731208 0.682155i \(-0.761043\pi\)
−0.847092 + 0.531446i \(0.821649\pi\)
\(12\) −3.24501 + 1.21241i −0.936753 + 0.349992i
\(13\) 0.612752 + 0.118098i 0.169947 + 0.0327546i 0.273515 0.961868i \(-0.411814\pi\)
−0.103568 + 0.994622i \(0.533026\pi\)
\(14\) −0.828840 1.97411i −0.221517 0.527604i
\(15\) −0.164799 + 2.90614i −0.0425510 + 0.750362i
\(16\) 0.456684 + 3.97384i 0.114171 + 0.993461i
\(17\) −0.485613 + 0.941958i −0.117778 + 0.228458i −0.940354 0.340198i \(-0.889506\pi\)
0.822576 + 0.568656i \(0.192536\pi\)
\(18\) 0.994515 + 4.12443i 0.234409 + 0.972138i
\(19\) −1.38544 + 1.45301i −0.317842 + 0.333343i −0.863202 0.504859i \(-0.831544\pi\)
0.545360 + 0.838202i \(0.316393\pi\)
\(20\) 3.21120 + 0.992598i 0.718046 + 0.221952i
\(21\) −2.52260 + 0.715979i −0.550477 + 0.156239i
\(22\) 6.66587 + 3.29674i 1.42117 + 0.702867i
\(23\) −6.96464 + 2.78822i −1.45223 + 0.581384i −0.957698 0.287777i \(-0.907084\pi\)
−0.494530 + 0.869161i \(0.664660\pi\)
\(24\) 4.89887 + 0.0319961i 0.999979 + 0.00653118i
\(25\) −1.42480 + 1.64431i −0.284961 + 0.328862i
\(26\) −0.750281 0.464653i −0.147142 0.0911259i
\(27\) 5.16144 0.599644i 0.993319 0.115402i
\(28\) 0.101144 + 3.02621i 0.0191145 + 0.571900i
\(29\) −0.764613 0.441450i −0.141985 0.0819752i 0.427325 0.904098i \(-0.359456\pi\)
−0.569310 + 0.822123i \(0.692789\pi\)
\(30\) 1.68133 3.75749i 0.306968 0.686021i
\(31\) 0.0393964 + 0.204408i 0.00707580 + 0.0367128i 0.985295 0.170862i \(-0.0546552\pi\)
−0.978219 + 0.207575i \(0.933443\pi\)
\(32\) 1.39774 5.48145i 0.247088 0.968993i
\(33\) 4.99321 7.61718i 0.869206 1.32598i
\(34\) 1.11612 1.00025i 0.191412 0.171541i
\(35\) 2.36203 + 0.945613i 0.399255 + 0.159838i
\(36\) 0.762828 5.95131i 0.127138 0.991885i
\(37\) −1.01951 1.76584i −0.167606 0.290303i 0.769971 0.638078i \(-0.220270\pi\)
−0.937578 + 0.347776i \(0.886937\pi\)
\(38\) 2.56261 1.22245i 0.415711 0.198307i
\(39\) −0.675796 + 0.843526i −0.108214 + 0.135072i
\(40\) −3.74375 2.92890i −0.591939 0.463100i
\(41\) −4.04507 + 0.192690i −0.631733 + 0.0300932i −0.361007 0.932563i \(-0.617567\pi\)
−0.270726 + 0.962656i \(0.587264\pi\)
\(42\) 3.69421 + 0.324225i 0.570029 + 0.0500290i
\(43\) 3.73853 + 5.81727i 0.570121 + 0.887126i 0.999875 0.0158205i \(-0.00503603\pi\)
−0.429754 + 0.902946i \(0.641400\pi\)
\(44\) −7.14875 7.71363i −1.07771 1.16287i
\(45\) −4.31989 2.59942i −0.643971 0.387498i
\(46\) 10.6080 0.177224i 1.56406 0.0261303i
\(47\) −0.0698247 0.0549108i −0.0101850 0.00800956i 0.613054 0.790041i \(-0.289941\pi\)
−0.623239 + 0.782032i \(0.714183\pi\)
\(48\) −6.45779 2.50938i −0.932101 0.362198i
\(49\) 0.224013 4.70262i 0.0320019 0.671803i
\(50\) 2.71097 1.45543i 0.383389 0.205829i
\(51\) −1.05116 1.50478i −0.147192 0.210712i
\(52\) 0.757501 + 0.991888i 0.105046 + 0.137550i
\(53\) −2.65330 + 4.12862i −0.364459 + 0.567110i −0.974255 0.225449i \(-0.927615\pi\)
0.609796 + 0.792559i \(0.291252\pi\)
\(54\) −7.12286 1.80689i −0.969298 0.245887i
\(55\) −8.35106 + 2.89033i −1.12606 + 0.389732i
\(56\) 1.39035 4.05010i 0.185794 0.541217i
\(57\) −1.10756 3.29626i −0.146700 0.436601i
\(58\) 0.788126 + 0.968443i 0.103486 + 0.127163i
\(59\) 6.73393 + 7.77137i 0.876684 + 1.01175i 0.999813 + 0.0193561i \(0.00616162\pi\)
−0.123129 + 0.992391i \(0.539293\pi\)
\(60\) −4.11418 + 4.11882i −0.531139 + 0.531738i
\(61\) −7.78977 + 0.743833i −0.997378 + 0.0952381i −0.580957 0.813934i \(-0.697322\pi\)
−0.416421 + 0.909172i \(0.636716\pi\)
\(62\) 0.0508783 0.289967i 0.00646155 0.0368258i
\(63\) 0.940100 4.44350i 0.118441 0.559828i
\(64\) −4.60761 + 6.53987i −0.575951 + 0.817484i
\(65\) 1.01915 0.247244i 0.126410 0.0306668i
\(66\) −10.4346 + 7.55155i −1.28441 + 0.929532i
\(67\) −7.46951 3.34760i −0.912546 0.408975i
\(68\) −1.97869 + 0.759751i −0.239951 + 0.0921334i
\(69\) 1.35212 12.9233i 0.162776 1.55579i
\(70\) −2.64522 2.43916i −0.316164 0.291536i
\(71\) −13.2567 + 6.83431i −1.57328 + 0.811083i −0.999966 0.00825070i \(-0.997374\pi\)
−0.573316 + 0.819334i \(0.694343\pi\)
\(72\) −4.00519 + 7.48054i −0.472017 + 0.881590i
\(73\) −6.69906 + 0.639683i −0.784066 + 0.0748692i −0.479407 0.877592i \(-0.659148\pi\)
−0.304658 + 0.952462i \(0.598542\pi\)
\(74\) 0.458002 + 2.84700i 0.0532416 + 0.330958i
\(75\) −1.36890 3.51106i −0.158066 0.405423i
\(76\) −4.00214 + 0.324925i −0.459077 + 0.0372715i
\(77\) −4.92118 6.25779i −0.560820 0.713141i
\(78\) 1.31787 0.774392i 0.149220 0.0876826i
\(79\) −8.59824 + 2.97588i −0.967377 + 0.334813i −0.764667 0.644426i \(-0.777096\pi\)
−0.202711 + 0.979239i \(0.564975\pi\)
\(80\) 3.47238 + 5.75594i 0.388224 + 0.643534i
\(81\) −3.24939 + 8.39294i −0.361043 + 0.932549i
\(82\) 5.44262 + 1.78248i 0.601037 + 0.196841i
\(83\) 4.64722 6.52611i 0.510099 0.716334i −0.476559 0.879143i \(-0.658116\pi\)
0.986658 + 0.162809i \(0.0520554\pi\)
\(84\) −4.71864 2.28889i −0.514846 0.249738i
\(85\) −0.0847432 + 1.77898i −0.00919169 + 0.192957i
\(86\) −2.01089 9.57031i −0.216840 1.03199i
\(87\) 1.29389 0.815090i 0.138720 0.0873869i
\(88\) 5.56249 + 13.7938i 0.592964 + 1.47042i
\(89\) 1.14850 0.165129i 0.121741 0.0175037i −0.0811751 0.996700i \(-0.525867\pi\)
0.202916 + 0.979196i \(0.434958\pi\)
\(90\) 4.39968 + 5.61067i 0.463767 + 0.591416i
\(91\) 0.510770 + 0.794774i 0.0535433 + 0.0833149i
\(92\) −14.1078 5.10803i −1.47084 0.532549i
\(93\) −0.345022 0.104707i −0.0357772 0.0108576i
\(94\) 0.0646205 + 0.107729i 0.00666510 + 0.0111114i
\(95\) −1.10352 + 3.18841i −0.113219 + 0.327124i
\(96\) 7.27027 + 6.56834i 0.742019 + 0.670379i
\(97\) 2.15222 + 3.72775i 0.218524 + 0.378496i 0.954357 0.298668i \(-0.0965423\pi\)
−0.735833 + 0.677163i \(0.763209\pi\)
\(98\) −2.66430 + 6.10173i −0.269135 + 0.616368i
\(99\) 7.63919 + 13.8023i 0.767767 + 1.38718i
\(100\) −4.31553 + 0.558101i −0.431553 + 0.0558101i
\(101\) 8.72228 + 2.11600i 0.867900 + 0.210550i 0.644899 0.764268i \(-0.276900\pi\)
0.223001 + 0.974818i \(0.428415\pi\)
\(102\) 0.631305 + 2.51795i 0.0625085 + 0.249314i
\(103\) −3.61952 18.7799i −0.356642 1.85043i −0.507193 0.861833i \(-0.669317\pi\)
0.150551 0.988602i \(1.54810\pi\)
\(104\) −0.501522 1.69227i −0.0491783 0.165941i
\(105\) −3.35642 + 2.85561i −0.327553 + 0.278679i
\(106\) 5.58556 4.11979i 0.542517 0.400149i
\(107\) 2.60353 5.70094i 0.251693 0.551130i −0.741041 0.671460i \(-0.765668\pi\)
0.992734 + 0.120329i \(0.0383950\pi\)
\(108\) 8.50295 + 5.97493i 0.818197 + 0.574938i
\(109\) −2.72288 + 3.14237i −0.260804 + 0.300984i −0.871016 0.491254i \(-0.836539\pi\)
0.610212 + 0.792238i \(0.291084\pi\)
\(110\) 12.4916 + 0.386047i 1.19103 + 0.0368081i
\(111\) 3.52906 0.136124i 0.334964 0.0129203i
\(112\) −3.87702 + 4.65205i −0.366343 + 0.439577i
\(113\) 14.1648 10.0867i 1.33251 0.948874i 0.332524 0.943095i \(-0.392100\pi\)
0.999983 0.00577985i \(-0.00183979\pi\)
\(114\) −0.196369 + 4.91381i −0.0183917 + 0.460220i
\(115\) −8.70021 + 9.12452i −0.811299 + 0.850866i
\(116\) −0.553801 1.67671i −0.0514191 0.155678i
\(117\) −0.746756 1.71670i −0.0690376 0.158709i
\(118\) −4.98524 13.6612i −0.458928 1.25761i
\(119\) −1.53944 + 0.452021i −0.141121 + 0.0414367i
\(120\) 7.51118 3.37113i 0.685674 0.307741i
\(121\) 16.3503 + 3.15126i 1.48639 + 0.286478i
\(122\) 10.6688 + 2.93999i 0.965912 + 0.266174i
\(123\) 2.97141 6.35372i 0.267923 0.572896i
\(124\) −0.213265 + 0.357571i −0.0191518 + 0.0321108i
\(125\) −3.39747 + 11.5707i −0.303879 + 1.03492i
\(126\) −3.48012 + 5.39867i −0.310033 + 0.480952i
\(127\) −4.26147 4.46930i −0.378145 0.396587i 0.506967 0.861965i \(-0.330767\pi\)
−0.885112 + 0.465379i \(0.845918\pi\)
\(128\) 9.38251 6.32207i 0.829304 0.558797i
\(129\) −11.9327 + 1.03059i −1.05062 + 0.0907384i
\(130\) −1.47133 0.186517i −0.129044 0.0163586i
\(131\) 1.30064 9.04617i 0.113638 0.790367i −0.850692 0.525664i \(-0.823817\pi\)
0.964330 0.264703i \(-0.0852740\pi\)
\(132\) 17.5924 4.72450i 1.53122 0.411215i
\(133\) −3.03949 −0.263557
\(134\) 8.18514 + 8.18557i 0.707088 + 0.707125i
\(135\) 7.47159 4.52001i 0.643052 0.389021i
\(136\) 2.99746 0.00754036i 0.257030 0.000646580i
\(137\) −12.4730 1.79334i −1.06564 0.153216i −0.412883 0.910784i \(-0.635478\pi\)
−0.652756 + 0.757569i \(0.726387\pi\)
\(138\) −8.29510 + 16.3974i −0.706125 + 1.39584i
\(139\) −8.52014 + 3.89102i −0.722669 + 0.330032i −0.742568 0.669770i \(-0.766393\pi\)
0.0198995 + 0.999802i \(0.493665\pi\)
\(140\) 2.26730 + 4.55552i 0.191622 + 0.385012i
\(141\) 0.140526 0.0626459i 0.0118344 0.00527574i
\(142\) 20.9606 2.35544i 1.75898 0.197664i
\(143\) −3.14850 0.924482i −0.263291 0.0773091i
\(144\) 9.06013 7.86855i 0.755011 0.655712i
\(145\) −1.47704 0.141040i −0.122662 0.0117128i
\(146\) 9.17501 + 2.52834i 0.759329 + 0.209247i
\(147\) 7.02475 + 4.14093i 0.579392 + 0.341538i
\(148\) 0.828514 3.99299i 0.0681035 0.328222i
\(149\) 4.19957 + 14.3024i 0.344042 + 1.17170i 0.931894 + 0.362731i \(0.118155\pi\)
−0.587852 + 0.808968i \(0.700026\pi\)
\(150\) 0.0408143 + 5.32928i 0.00333247 + 0.435134i
\(151\) 0.412857 0.800831i 0.0335978 0.0651707i −0.871439 0.490504i \(-0.836813\pi\)
0.905037 + 0.425333i \(0.139843\pi\)
\(152\) 5.45249 + 1.58611i 0.442255 + 0.128650i
\(153\) 3.15461 0.395451i 0.255035 0.0319703i
\(154\) 3.35192 + 10.7480i 0.270105 + 0.866102i
\(155\) 0.202928 + 0.284972i 0.0162995 + 0.0228895i
\(156\) −2.13157 + 0.359676i −0.170662 + 0.0287971i
\(157\) 3.98136 1.59390i 0.317747 0.127207i −0.207306 0.978276i \(-0.566470\pi\)
0.525053 + 0.851069i \(0.324045\pi\)
\(158\) 12.8613 + 0.397473i 1.02319 + 0.0316213i
\(159\) −4.18342 7.39970i −0.331767 0.586835i
\(160\) −1.69005 9.35523i −0.133610 0.739596i
\(161\) −10.3313 4.71816i −0.814222 0.371843i
\(162\) 8.52082 9.45492i 0.669459 0.742849i
\(163\) 10.9144 + 6.30146i 0.854885 + 0.493568i 0.862296 0.506404i \(-0.169026\pi\)
−0.00741092 + 0.999973i \(0.502359\pi\)
\(164\) −6.29480 5.09649i −0.491541 0.397969i
\(165\) 2.31529 15.1302i 0.180245 1.17788i
\(166\) −9.42792 + 6.28394i −0.731749 + 0.487728i
\(167\) 3.67936 15.1665i 0.284717 1.17362i −0.632285 0.774736i \(-0.717883\pi\)
0.917002 0.398884i \(-0.130602\pi\)
\(168\) 5.08302 + 5.40112i 0.392164 + 0.416705i
\(169\) −11.7073 4.68688i −0.900559 0.360529i
\(170\) 1.00789 2.30826i 0.0773018 0.177035i
\(171\) 5.94517 + 0.964879i 0.454639 + 0.0737861i
\(172\) −2.16226 + 13.6599i −0.164870 + 1.04156i
\(173\) 9.05718 + 3.13472i 0.688605 + 0.238328i 0.648890 0.760883i \(-0.275234\pi\)
0.0397153 + 0.999211i \(0.487355\pi\)
\(174\) −2.12037 + 0.425536i −0.160745 + 0.0322598i
\(175\) −3.29022 + 0.156733i −0.248718 + 0.0118479i
\(176\) −0.404259 21.0299i −0.0304722 1.58519i
\(177\) −17.3459 + 4.04227i −1.30380 + 0.303836i
\(178\) −1.60091 0.360171i −0.119993 0.0269960i
\(179\) 1.98825 + 13.8286i 0.148609 + 1.03360i 0.918500 + 0.395421i \(0.129401\pi\)
−0.769891 + 0.638175i \(0.779690\pi\)
\(180\) −2.98865 9.63024i −0.222761 0.717796i
\(181\) −3.47457 2.73243i −0.258263 0.203100i 0.480629 0.876924i \(-0.340408\pi\)
−0.738892 + 0.673824i \(0.764651\pi\)
\(182\) −0.274734 1.30753i −0.0203646 0.0969203i
\(183\) 5.15101 12.5367i 0.380774 0.926739i
\(184\) 16.0711 + 13.8551i 1.18478 + 1.02141i
\(185\) −2.79130 1.98767i −0.205220 0.146137i
\(186\) 0.403218 + 0.312127i 0.0295654 + 0.0228862i
\(187\) 3.01284 4.68807i 0.220321 0.342825i
\(188\) −0.0311435 0.174908i −0.00227138 0.0127565i
\(189\) 6.04942 + 5.02890i 0.440031 + 0.365799i
\(190\) 3.06401 3.65777i 0.222286 0.265362i
\(191\) −9.44620 + 7.42857i −0.683503 + 0.537513i −0.898430 0.439117i \(-0.855291\pi\)
0.214927 + 0.976630i \(0.431049\pi\)
\(192\) −6.29986 12.3415i −0.454654 0.890668i
\(193\) 4.44466 + 5.12941i 0.319934 + 0.369223i 0.892821 0.450411i \(-0.148722\pi\)
−0.572888 + 0.819634i \(0.694177\pi\)
\(194\) −0.966856 6.01011i −0.0694162 0.431501i
\(195\) −0.444191 + 1.76128i −0.0318092 + 0.126128i
\(196\) 6.59376 6.72173i 0.470983 0.480123i
\(197\) 6.07280 + 11.7796i 0.432669 + 0.839260i 0.999877 + 0.0156860i \(0.00499320\pi\)
−0.567208 + 0.823574i \(0.691976\pi\)
\(198\) −3.14433 22.0870i −0.223458 1.56965i
\(199\) 25.7756 6.25309i 1.82718 0.443269i 0.833215 0.552950i \(-0.186498\pi\)
0.993967 + 0.109680i \(0.0349827\pi\)
\(200\) 5.98407 + 1.43579i 0.423137 + 0.101526i
\(201\) 11.1615 8.74185i 0.787274 0.616603i
\(202\) −10.4609 7.18890i −0.736029 0.505809i
\(203\) −0.315131 1.29899i −0.0221179 0.0911711i
\(204\) 0.433780 3.64542i 0.0303707 0.255230i
\(205\) −6.04912 + 3.11854i −0.422489 + 0.217808i
\(206\) −4.67442 + 26.6405i −0.325682 + 1.85613i
\(207\) 18.7101 + 12.5083i 1.30044 + 0.869384i
\(208\) −0.189470 + 2.48891i −0.0131374 + 0.172575i
\(209\) 7.97854 6.91345i 0.551887 0.478213i
\(210\) 5.87364 2.08339i 0.405319 0.143768i
\(211\) 2.52744 + 3.21390i 0.173996 + 0.221254i 0.865227 0.501379i \(-0.167174\pi\)
−0.691231 + 0.722633i \(0.742932\pi\)
\(212\) −9.45610 + 2.63141i −0.649448 + 0.180726i
\(213\) 0.233703 25.8320i 0.0160131 1.76998i
\(214\) −6.31161 + 6.22268i −0.431453 + 0.425374i
\(215\) 9.77625 + 6.28281i 0.666734 + 0.428484i
\(216\) −8.22770 12.1781i −0.559824 0.828611i
\(217\) −0.182810 + 0.256721i −0.0124100 + 0.0174274i
\(218\) 5.18082 2.78141i 0.350889 0.188381i
\(219\) 4.42977 10.7813i 0.299336 0.728534i
\(220\) −16.3133 6.80099i −1.09984 0.458523i
\(221\) −0.408804 + 0.519837i −0.0274991 + 0.0349680i
\(222\) −4.73223 1.59737i −0.317607 0.107208i
\(223\) 24.1097 3.46645i 1.61450 0.232131i 0.724897 0.688857i \(-0.241887\pi\)
0.889607 + 0.456727i \(0.150978\pi\)
\(224\) 7.46630 4.19523i 0.498863 0.280305i
\(225\) 6.48536 + 0.737908i 0.432357 + 0.0491939i
\(226\) −23.7985 + 6.19617i −1.58305 + 0.412163i
\(227\) 1.23476 + 25.9208i 0.0819538 + 1.72042i 0.548690 + 0.836026i \(0.315127\pi\)
−0.466737 + 0.884396i \(0.654570\pi\)
\(228\) 2.73412 6.39474i 0.181072 0.423502i
\(229\) 2.37198 6.85339i 0.156745 0.452885i −0.839097 0.543982i \(-0.816916\pi\)
0.995842 + 0.0910968i \(0.0290373\pi\)
\(230\) 16.0926 7.67665i 1.06111 0.506183i
\(231\) 13.5628 2.48697i 0.892364 0.163631i
\(232\) −0.112547 + 2.49468i −0.00738908 + 0.163784i
\(233\) −6.66415 + 16.6463i −0.436583 + 1.09053i 0.533075 + 0.846068i \(0.321036\pi\)
−0.969658 + 0.244464i \(0.921388\pi\)
\(234\) 0.122303 + 2.64470i 0.00799518 + 0.172890i
\(235\) −0.145075 0.0351948i −0.00946364 0.00229585i
\(236\) −0.291813 + 20.5639i −0.0189954 + 1.33860i
\(237\) 2.38381 15.5780i 0.154845 1.01190i
\(238\) 2.26203 + 0.177923i 0.146625 + 0.0115330i
\(239\) −0.275951 + 0.477961i −0.0178498 + 0.0309167i −0.874812 0.484462i \(-0.839015\pi\)
0.856963 + 0.515379i \(0.172349\pi\)
\(240\) −11.6238 + 0.672300i −0.750313 + 0.0433968i
\(241\) 0.736099 1.61183i 0.0474163 0.103827i −0.884441 0.466652i \(-0.845460\pi\)
0.931858 + 0.362824i \(0.118187\pi\)
\(242\) −20.0200 12.3985i −1.28694 0.797005i
\(243\) −10.2361 11.7568i −0.656647 0.754198i
\(244\) −12.6184 9.25811i −0.807808 0.592689i
\(245\) −2.94058 7.34522i −0.187867 0.469269i
\(246\) −7.12651 + 6.90007i −0.454369 + 0.439933i
\(247\) −1.02053 + 0.726715i −0.0649347 + 0.0462398i
\(248\) 0.461906 0.365131i 0.0293310 0.0231858i
\(249\) 6.24679 + 12.3910i 0.395874 + 0.785251i
\(250\) 10.3169 13.5798i 0.652496 0.858863i
\(251\) −17.0272 8.77815i −1.07475 0.554072i −0.172378 0.985031i \(-0.555145\pi\)
−0.902372 + 0.430959i \(0.858175\pi\)
\(252\) 7.31780 5.38178i 0.460978 0.339020i
\(253\) 37.8510 11.1140i 2.37967 0.698734i
\(254\) 3.38080 + 8.05232i 0.212130 + 0.505247i
\(255\) −2.65743 1.56649i −0.166415 0.0980976i
\(256\) −15.5829 + 3.62958i −0.973930 + 0.226849i
\(257\) 1.26712 13.2699i 0.0790409 0.827754i −0.865836 0.500328i \(-0.833213\pi\)
0.944877 0.327426i \(-0.106181\pi\)
\(258\) 16.2882 + 4.64745i 1.01406 + 0.289337i
\(259\) 0.869702 2.96193i 0.0540406 0.184045i
\(260\) 1.85045 + 0.987454i 0.114760 + 0.0612393i
\(261\) 0.204029 + 2.64083i 0.0126291 + 0.163463i
\(262\) −6.27451 + 11.2996i −0.387640 + 0.698089i
\(263\) −10.0166 21.9333i −0.617650 1.35246i −0.917217 0.398389i \(-0.869569\pi\)
0.299567 0.954075i \(1.59684\pi\)
\(264\) −25.6278 2.61617i −1.57728 0.161014i
\(265\) −1.17377 + 8.16372i −0.0721038 + 0.501493i
\(266\) 4.01671 + 1.53070i 0.246280 + 0.0938535i
\(267\) −0.674468 + 1.89316i −0.0412768 + 0.115860i
\(268\) −6.69442 14.9394i −0.408927 0.912567i
\(269\) 30.6796i 1.87057i 0.353898 + 0.935284i \(0.384856\pi\)
−0.353898 + 0.935284i \(0.615144\pi\)
\(270\) −12.1501 + 2.21049i −0.739429 + 0.134526i
\(271\) 1.00465 + 0.144447i 0.0610283 + 0.00877455i 0.172761 0.984964i \(-0.444731\pi\)
−0.111733 + 0.993738i \(0.535640\pi\)
\(272\) −3.96497 1.49957i −0.240411 0.0909250i
\(273\) −1.63029 + 0.140802i −0.0986694 + 0.00852175i
\(274\) 15.5800 + 8.65137i 0.941222 + 0.522649i
\(275\) 8.28021 7.89517i 0.499316 0.476097i
\(276\) 19.2198 17.4918i 1.15690 1.05288i
\(277\) −1.82757 0.536624i −0.109808 0.0322426i 0.226367 0.974042i \(-0.427315\pi\)
−0.336175 + 0.941800i \(0.609133\pi\)
\(278\) 13.2190 0.851220i 0.792821 0.0510528i
\(279\) 0.439068 0.444108i 0.0262863 0.0265880i
\(280\) −0.702071 7.16198i −0.0419568 0.428010i
\(281\) −5.91903 + 30.7109i −0.353100 + 1.83206i 0.177112 + 0.984191i \(0.443325\pi\)
−0.530212 + 0.847865i \(0.677887\pi\)
\(282\) −0.217255 + 0.0120174i −0.0129373 + 0.000715623i
\(283\) −2.52223 8.58993i −0.149931 0.510618i 0.849937 0.526885i \(-0.176640\pi\)
−0.999868 + 0.0162667i \(0.994822\pi\)
\(284\) −28.8858 7.44316i −1.71406 0.441670i
\(285\) −3.99432 4.26574i −0.236603 0.252680i
\(286\) 3.69519 + 2.80731i 0.218501 + 0.166000i
\(287\) −4.43720 4.23086i −0.261919 0.249740i
\(288\) −15.9357 + 5.83561i −0.939019 + 0.343867i
\(289\) 9.20950 + 12.9329i 0.541735 + 0.760761i
\(290\) 1.88089 + 0.930233i 0.110450 + 0.0546252i
\(291\) −7.44996 + 0.287361i −0.436724 + 0.0168454i
\(292\) −10.8516 7.96180i −0.635039 0.465929i
\(293\) 14.9047 + 12.9150i 0.870740 + 0.754501i 0.970650 0.240496i \(-0.0773100\pi\)
−0.0999099 + 0.994996i \(0.531855\pi\)
\(294\) −7.19787 9.00997i −0.419788 0.525472i
\(295\) 15.7195 + 7.17885i 0.915224 + 0.417969i
\(296\) −3.10578 + 4.85952i −0.180520 + 0.282454i
\(297\) −27.3179 + 0.558989i −1.58515 + 0.0324358i
\(298\) 1.65301 21.0157i 0.0957565 1.21740i
\(299\) −4.59688 + 0.885976i −0.265844 + 0.0512373i
\(300\) 2.62992 7.06324i 0.151838 0.407796i
\(301\) −2.46816 + 10.1739i −0.142262 + 0.586412i
\(302\) −0.948896 + 0.850387i −0.0546029 + 0.0489343i
\(303\) −10.2861 + 11.6560i −0.590921 + 0.669622i
\(304\) −6.40674 4.84196i −0.367451 0.277705i
\(305\) −11.3888 + 6.57535i −0.652123 + 0.376503i
\(306\) −4.36799 1.06609i −0.249701 0.0609441i
\(307\) −13.8297 4.78652i −0.789305 0.273181i −0.0974716 0.995238i \(-0.531076\pi\)
−0.691833 + 0.722057i \(0.743197\pi\)
\(308\) 0.983189 15.8917i 0.0560224 0.905511i
\(309\) 31.6987 + 9.61992i 1.80328 + 0.547258i
\(310\) −0.124657 0.478788i −0.00708004 0.0271933i
\(311\) −19.2461 + 12.3687i −1.09135 + 0.701366i −0.957151 0.289589i \(-0.906481\pi\)
−0.134195 + 0.990955i \(0.542845\pi\)
\(312\) 2.99802 + 0.598154i 0.169729 + 0.0338638i
\(313\) −0.429024 2.98393i −0.0242499 0.168661i 0.974098 0.226128i \(-0.0726068\pi\)
−0.998347 + 0.0574666i \(0.981698\pi\)
\(314\) −6.06409 + 0.101311i −0.342216 + 0.00571731i
\(315\) −1.66501 7.44902i −0.0938127 0.419705i
\(316\) −16.7961 7.00229i −0.944857 0.393909i
\(317\) 25.0417 + 1.19288i 1.40648 + 0.0669989i 0.737031 0.675859i \(-0.236227\pi\)
0.669449 + 0.742858i \(0.266530\pi\)
\(318\) 1.80189 + 11.8856i 0.101045 + 0.666509i
\(319\) 3.78181 + 2.69301i 0.211741 + 0.150780i
\(320\) −2.47793 + 13.2141i −0.138520 + 0.738692i
\(321\) 6.63282 + 8.59319i 0.370208 + 0.479625i
\(322\) 11.2768 + 11.4380i 0.628433 + 0.637414i
\(323\) −0.695884 2.01063i −0.0387200 0.111874i
\(324\) −16.0219 + 8.20362i −0.890104 + 0.455757i
\(325\) −1.06724 + 0.839287i −0.0591999 + 0.0465553i
\(326\) −11.2501 13.8240i −0.623084 0.765640i
\(327\) −2.61604 6.70984i −0.144667 0.371055i
\(328\) 5.75201 + 9.90514i 0.317602 + 0.546920i
\(329\) −0.0127835 0.133875i −0.000704776 0.00738075i
\(330\) −10.6793 + 18.8287i −0.587877 + 1.03648i
\(331\) −2.59730 5.03806i −0.142761 0.276917i 0.806605 0.591091i \(-0.201303\pi\)
−0.949365 + 0.314174i \(0.898272\pi\)
\(332\) 15.6237 3.55632i 0.857462 0.195178i
\(333\) −2.64137 + 5.51739i −0.144746 + 0.302351i
\(334\) −12.5002 + 18.1897i −0.683982 + 0.995297i
\(335\) −13.7556 + 0.0972342i −0.751548 + 0.00531247i
\(336\) −3.99722 9.69745i −0.218066 0.529039i
\(337\) −0.826879 3.40844i −0.0450430 0.185670i 0.944846 0.327516i \(-0.106211\pi\)
−0.989889 + 0.141846i \(0.954696\pi\)
\(338\) 13.1109 + 12.0896i 0.713139 + 0.657587i
\(339\) 4.01648 + 29.8498i 0.218145 + 1.62122i
\(340\) −2.49439 + 2.54280i −0.135277 + 0.137903i
\(341\) −0.104053 1.08969i −0.00563478 0.0590101i
\(342\) −7.37067 4.26912i −0.398560 0.230847i
\(343\) 13.3959 11.6076i 0.723309 0.626751i
\(344\) 9.73665 16.9628i 0.524965 0.914572i
\(345\) −6.95518 20.6997i −0.374455 1.11443i
\(346\) −10.3905 8.70380i −0.558595 0.467919i
\(347\) 1.80883 + 5.22626i 0.0971028 + 0.280560i 0.983082 0.183164i \(-0.0586340\pi\)
−0.885979 + 0.463724i \(0.846513\pi\)
\(348\) 3.01639 + 0.505484i 0.161696 + 0.0270968i
\(349\) 26.5069 + 17.0349i 1.41888 + 0.911859i 0.999993 + 0.00382156i \(0.00121644\pi\)
0.418888 + 0.908038i \(0.362420\pi\)
\(350\) 4.42699 + 1.44985i 0.236632 + 0.0774978i
\(351\) 3.23350 + 0.242124i 0.172591 + 0.0129236i
\(352\) −10.0565 + 27.9947i −0.536015 + 1.49212i
\(353\) −1.64812 0.0785096i −0.0877206 0.00417864i 0.00367575 0.999993i \(-0.498830\pi\)
−0.0913963 + 0.995815i \(0.529133\pi\)
\(354\) 24.9584 + 3.39360i 1.32653 + 0.180368i
\(355\) −15.4941 + 19.7024i −0.822344 + 1.04569i
\(356\) 1.93423 + 1.28220i 0.102514 + 0.0679563i
\(357\) 0.550587 2.72387i 0.0291401 0.144163i
\(358\) 4.33666 19.2759i 0.229200 1.01876i
\(359\) 3.43886 2.21002i 0.181496 0.116641i −0.446738 0.894665i \(-0.647414\pi\)
0.628234 + 0.778024i \(0.283778\pi\)
\(360\) −0.900317 + 14.2315i −0.0474509 + 0.750068i
\(361\) 0.712269 + 14.9524i 0.0374878 + 0.786967i
\(362\) 3.21560 + 5.36074i 0.169008 + 0.281754i
\(363\) −18.0325 + 22.5081i −0.946461 + 1.18137i
\(364\) −0.295414 + 1.86626i −0.0154839 + 0.0978188i
\(365\) −9.79419 + 5.65468i −0.512651 + 0.295979i
\(366\) −13.1206 + 13.9733i −0.685827 + 0.730394i
\(367\) 0.346326 0.865082i 0.0180781 0.0451569i −0.919054 0.394131i \(-0.871046\pi\)
0.937132 + 0.348974i \(0.113470\pi\)
\(368\) −14.2606 26.4030i −0.743385 1.37635i
\(369\) 7.33598 + 9.68404i 0.381896 + 0.504131i
\(370\) 2.68771 + 4.03243i 0.139728 + 0.209636i
\(371\) −7.29575 + 1.40614i −0.378777 + 0.0730032i
\(372\) −0.375668 0.615541i −0.0194775 0.0319143i
\(373\) −5.66451 + 9.81123i −0.293297 + 0.508006i −0.974587 0.224008i \(-0.928086\pi\)
0.681290 + 0.732014i \(0.261419\pi\)
\(374\) −6.34242 + 4.67803i −0.327959 + 0.241895i
\(375\) −14.9857 14.5500i −0.773861 0.751357i
\(376\) −0.0469282 + 0.246826i −0.00242014 + 0.0127291i
\(377\) −0.416384 0.360799i −0.0214449 0.0185821i
\(378\) −5.46177 9.69225i −0.280923 0.498516i
\(379\) 12.6291 + 31.5460i 0.648715 + 1.62041i 0.777606 + 0.628752i \(0.216434\pi\)
−0.128891 + 0.991659i \(0.541142\pi\)
\(380\) −5.89118 + 3.29071i −0.302211 + 0.168810i
\(381\) 10.2896 2.92045i 0.527151 0.149619i
\(382\) 16.2243 5.05976i 0.830107 0.258880i
\(383\) 11.6914 + 11.1478i 0.597404 + 0.569624i 0.927265 0.374406i \(-0.122153\pi\)
−0.329861 + 0.944030i \(0.607002\pi\)
\(384\) 2.11009 + 19.4820i 0.107680 + 0.994186i
\(385\) −11.8917 6.13058i −0.606056 0.312443i
\(386\) −3.29045 9.01691i −0.167480 0.458949i
\(387\) 8.05733 19.1164i 0.409577 0.971739i
\(388\) −1.74902 + 8.42932i −0.0887930 + 0.427934i
\(389\) 6.30803 32.7292i 0.319830 1.65943i −0.365208 0.930926i \(-0.619002\pi\)
0.685037 0.728508i \(-0.259786\pi\)
\(390\) 1.47399 2.10385i 0.0746385 0.106532i
\(391\) 0.755733 7.91439i 0.0382190 0.400248i
\(392\) −12.0988 + 5.56216i −0.611081 + 0.280931i
\(393\) 12.8108 + 9.29831i 0.646218 + 0.469038i
\(394\) −2.09298 18.6251i −0.105443 0.938319i
\(395\) −11.0665 + 10.5519i −0.556815 + 0.530922i
\(396\) −6.96786 + 30.7716i −0.350148 + 1.54633i
\(397\) 4.37355 + 9.57675i 0.219502 + 0.480643i 0.987063 0.160333i \(-0.0512569\pi\)
−0.767561 + 0.640976i \(0.778530\pi\)
\(398\) −37.2117 4.71722i −1.86525 0.236453i
\(399\) 2.45459 4.65731i 0.122883 0.233157i
\(400\) −7.18492 4.91101i −0.359246 0.245551i
\(401\) 11.0003i 0.549327i −0.961540 0.274663i \(-0.911434\pi\)
0.961540 0.274663i \(-0.0885664\pi\)
\(402\) −19.1525 + 5.93141i −0.955240 + 0.295832i
\(403\) 0.129904i 0.00647098i
\(404\) 10.2038 + 14.7684i 0.507659 + 0.734754i
\(405\) 0.892047 + 15.0987i 0.0443262 + 0.750259i
\(406\) −0.237729 + 1.87532i −0.0117983 + 0.0930708i
\(407\) 4.45410 + 9.75313i 0.220782 + 0.483445i
\(408\) −2.40910 + 4.59900i −0.119268 + 0.227684i
\(409\) −19.7479 + 18.8296i −0.976471 + 0.931063i −0.997636 0.0687126i \(-0.978111\pi\)
0.0211653 + 0.999776i \(0.493262\pi\)
\(410\) 9.56446 1.07480i 0.472355 0.0530806i
\(411\) 12.8206 17.6637i 0.632395 0.871284i
\(412\) 19.5936 32.8516i 0.965307 1.61848i
\(413\) −1.47983 + 15.4975i −0.0728176 + 0.762581i
\(414\) −18.4263 25.9522i −0.905601 1.27548i
\(415\) 2.54809 13.2207i 0.125081 0.648980i
\(416\) 1.50382 3.19370i 0.0737307 0.156584i
\(417\) 0.918510 16.1974i 0.0449796 0.793189i
\(418\) −14.0254 + 5.11813i −0.686003 + 0.250336i
\(419\) 8.94299 + 4.61043i 0.436894 + 0.225234i 0.662619 0.748957i \(-0.269445\pi\)
−0.225725 + 0.974191i \(0.572475\pi\)
\(420\) −8.81126 0.204779i −0.429946 0.00999218i
\(421\) −28.0509 26.7464i −1.36712 1.30354i −0.910281 0.413990i \(-0.864135\pi\)
−0.456834 0.889552i \(-0.651017\pi\)
\(422\) −1.72149 5.52002i −0.0838009 0.268710i
\(423\) −0.0174940 + 0.265914i −0.000850586 + 0.0129292i
\(424\) 13.8215 + 1.28472i 0.671231 + 0.0623913i
\(425\) −0.856968 2.14060i −0.0415690 0.103834i
\(426\) −13.3180 + 34.0194i −0.645257 + 1.64825i
\(427\) −8.95335 7.75812i −0.433283 0.375442i
\(428\) 11.4746 5.04476i 0.554646 0.243847i
\(429\) 3.95917 4.07775i 0.191151 0.196876i
\(430\) −9.75532 13.2262i −0.470443 0.637822i
\(431\) −3.49075 + 6.04615i −0.168143 + 0.291233i −0.937767 0.347265i \(-0.887110\pi\)
0.769624 + 0.638498i \(0.220444\pi\)
\(432\) 4.74004 + 20.2369i 0.228055 + 0.973648i
\(433\) −17.7571 + 3.42240i −0.853351 + 0.164470i −0.597126 0.802147i \(-0.703691\pi\)
−0.256225 + 0.966617i \(0.582479\pi\)
\(434\) 0.370871 0.247194i 0.0178024 0.0118657i
\(435\) 1.40892 2.14932i 0.0675526 0.103052i
\(436\) −8.24722 + 1.06656i −0.394970 + 0.0510791i
\(437\) 5.59778 13.9826i 0.267778 0.668878i
\(438\) −11.2835 + 12.0167i −0.539147 + 0.574182i
\(439\) −23.0132 + 13.2867i −1.09836 + 0.634137i −0.935789 0.352560i \(-0.885311\pi\)
−0.162569 + 0.986697i \(0.551978\pi\)
\(440\) 18.1331 + 17.2030i 0.864463 + 0.820122i
\(441\) −12.0180 + 7.41971i −0.572283 + 0.353320i
\(442\) 0.802030 0.481092i 0.0381487 0.0228832i
\(443\) −0.958368 20.1186i −0.0455335 0.955865i −0.899874 0.436151i \(-0.856341\pi\)
0.854340 0.519714i \(1.82604\pi\)
\(444\) 5.44924 + 4.49411i 0.258609 + 0.213281i
\(445\) 1.64042 1.05423i 0.0777632 0.0499754i
\(446\) −33.6069 7.56083i −1.59133 0.358016i
\(447\) −25.3065 5.11530i −1.19696 0.241945i
\(448\) −11.9795 + 1.78395i −0.565979 + 0.0842840i
\(449\) 24.1988 30.7712i 1.14201 1.45218i 0.269890 0.962891i \(-0.413013\pi\)
0.872120 0.489293i \(-0.162745\pi\)
\(450\) −8.19883 4.24121i −0.386497 0.199933i
\(451\) 21.2707 + 1.01325i 1.00160 + 0.0477121i
\(452\) 34.5704 + 3.79678i 1.62605 + 0.178586i
\(453\) 0.893676 + 1.27933i 0.0419885 + 0.0601082i
\(454\) 11.4221 34.8763i 0.536066 1.63683i
\(455\) 1.33566 + 0.858378i 0.0626168 + 0.0402414i
\(456\) −6.83359 + 7.07377i −0.320012 + 0.331260i
\(457\) 2.46251 + 7.11497i 0.115192 + 0.332824i 0.987829 0.155545i \(-0.0497133\pi\)
−0.872637 + 0.488369i \(0.837592\pi\)
\(458\) −6.58600 + 7.86227i −0.307743 + 0.367380i
\(459\) −1.94162 + 5.15305i −0.0906271 + 0.240524i
\(460\) −25.1324 + 2.04045i −1.17181 + 0.0951364i
\(461\) 21.6808 18.7865i 1.00977 0.874975i 0.0176017 0.999845i \(-0.494397\pi\)
0.992173 + 0.124870i \(0.0398514\pi\)
\(462\) −19.1757 3.54373i −0.892136 0.164869i
\(463\) −0.635365 6.65384i −0.0295279 0.309230i −0.998155 0.0607126i \(-0.980663\pi\)
0.968627 0.248518i \(1.92006\pi\)
\(464\) 1.40507 3.24006i 0.0652285 0.150416i
\(465\) −0.600530 + 0.0808051i −0.0278489 + 0.00374725i
\(466\) 17.1899 18.6420i 0.796305 0.863576i
\(467\) −6.98688 28.8003i −0.323314 1.33272i −0.869034 0.494752i \(-0.835259\pi\)
0.545720 0.837967i \(1.68374\pi\)
\(468\) 1.17026 3.55659i 0.0540955 0.164403i
\(469\) −4.13578 11.6817i −0.190972 0.539412i
\(470\) 0.173993 + 0.119571i 0.00802571 + 0.00551538i
\(471\) −0.772942 + 7.38767i −0.0356153 + 0.340406i
\(472\) 10.7417 27.0284i 0.494429 1.24408i
\(473\) −16.6621 32.3199i −0.766124 1.48607i
\(474\) −10.9954 + 19.3859i −0.505035 + 0.890426i
\(475\) −0.415216 4.34834i −0.0190514 0.199516i
\(476\) −2.89968 1.37429i −0.132907 0.0629907i
\(477\) 14.7167 0.434361i 0.673831 0.0198880i
\(478\) 0.605374 0.492658i 0.0276892 0.0225337i
\(479\) −25.4507 + 20.0147i −1.16287 + 0.914495i −0.997425 0.0717237i \(-0.977150\pi\)
−0.165450 + 0.986218i \(0.552908\pi\)
\(480\) 15.6995 + 4.96536i 0.716582 + 0.226637i
\(481\) −0.416164 1.20243i −0.0189754 0.0548259i
\(482\) −1.78449 + 1.75934i −0.0812812 + 0.0801360i
\(483\) 15.5727 12.0201i 0.708582 0.546933i
\(484\) 20.2126 + 26.4669i 0.918757 + 1.20304i
\(485\) 5.89251 + 4.19604i 0.267565 + 0.190532i
\(486\) 7.60632 + 20.6916i 0.345030 + 0.938592i
\(487\) 3.68791 + 0.175677i 0.167115 + 0.00796067i 0.130973 0.991386i \(-0.458190\pi\)
0.0361423 + 0.999347i \(0.488493\pi\)
\(488\) 12.0128 + 18.5893i 0.543795 + 0.841499i
\(489\) −18.4696 + 11.6350i −0.835226 + 0.526152i
\(490\) 0.186909 + 11.1877i 0.00844369 + 0.505407i
\(491\) 4.82360 + 33.5488i 0.217686 + 1.51404i 0.746549 + 0.665331i \(0.231710\pi\)
−0.528863 + 0.848707i \(0.677381\pi\)
\(492\) 12.8926 5.52955i 0.581245 0.249291i
\(493\) 0.787133 0.505860i 0.0354507 0.0227828i
\(494\) 1.71461 0.446416i 0.0771441 0.0200852i
\(495\) 21.3137 + 15.7663i 0.957979 + 0.708641i
\(496\) −0.794294 + 0.249905i −0.0356648 + 0.0112211i
\(497\) −21.3382 7.38524i −0.957151 0.331273i
\(498\) −2.01498 19.5208i −0.0902935 0.874747i
\(499\) 13.2805 7.66752i 0.594518 0.343245i −0.172364 0.985033i \(-0.555140\pi\)
0.766882 + 0.641788i \(0.221807\pi\)
\(500\) −20.4727 + 12.7502i −0.915567 + 0.570207i
\(501\) 20.2678 + 17.8857i 0.905498 + 0.799075i
\(502\) 18.0809 + 20.1754i 0.806990 + 0.900472i
\(503\) 5.11187 21.0714i 0.227927 0.939527i −0.736766 0.676148i \(-0.763648\pi\)
0.964692 0.263379i \(-0.0848370\pi\)
\(504\) −12.3808 + 3.42678i −0.551486 + 0.152641i
\(505\) 14.8109 2.85456i 0.659076 0.127026i
\(506\) −55.6174 4.37466i −2.47250 0.194477i
\(507\) 16.6359 14.1537i 0.738828 0.628586i
\(508\) −0.412563 12.3438i −0.0183045 0.547667i
\(509\) −12.3191 5.62595i −0.546035 0.249366i 0.123245 0.992376i \(-0.460670\pi\)
−0.669280 + 0.743011i \(0.733397\pi\)
\(510\) 2.72292 + 3.40843i 0.120573 + 0.150928i
\(511\) −7.69972 6.67184i −0.340615 0.295145i
\(512\) 22.4208 + 3.05110i 0.990867 + 0.134841i
\(513\) −6.27957 + 8.33038i −0.277250 + 0.367795i
\(514\) −8.35730 + 16.8981i −0.368625 + 0.745345i
\(515\) −18.6439 26.1816i −0.821547 1.15370i
\(516\) −19.1845 14.3445i −0.844549 0.631479i
\(517\) 0.338060 + 0.322339i 0.0148678 + 0.0141765i
\(518\) −2.64096 + 3.47623i −0.116037 + 0.152737i
\(519\) −12.1175 + 11.3465i −0.531899 + 0.498056i
\(520\) −1.94809 2.23682i −0.0854294 0.0980911i
\(521\) 5.86480 + 19.9737i 0.256941 + 0.875062i 0.982399 + 0.186795i \(0.0598100\pi\)
−0.725458 + 0.688267i \(0.758372\pi\)
\(522\) 1.06031 3.59262i 0.0464085 0.157245i
\(523\) −3.14590 + 16.3225i −0.137561 + 0.713732i 0.846004 + 0.533176i \(0.179002\pi\)
−0.983565 + 0.180556i \(0.942210\pi\)
\(524\) 13.9823 11.7726i 0.610821 0.514288i
\(525\) 2.41692 5.16807i 0.105483 0.225553i
\(526\) 2.19128 + 34.0294i 0.0955445 + 1.48375i
\(527\) −0.211675 0.0621534i −0.00922071 0.00270745i
\(528\) 32.5498 + 16.3636i 1.41655 + 0.712134i
\(529\) 24.0861 22.9661i 1.04722 0.998524i
\(530\) 5.66243 10.1973i 0.245960 0.442942i
\(531\) 7.81414 29.8429i 0.339105 1.29507i
\(532\) −4.53724 4.04567i −0.196714 0.175402i
\(533\) −2.50138 0.359644i −0.108347 0.0155779i
\(534\) 1.84472 2.16216i 0.0798289 0.0935658i
\(535\) 10.5325i 0.455362i
\(536\) 1.32319 + 23.1138i 0.0571529 + 0.998365i
\(537\) −22.7947 8.12097i −0.983664 0.350446i
\(538\) 15.4504 40.5433i 0.666115 1.74795i
\(539\) −3.52321 + 24.5045i −0.151756 + 1.05548i
\(540\) 17.1696 + 3.19766i 0.738863 + 0.137605i
\(541\) −1.11286 2.43683i −0.0478458 0.104768i 0.884200 0.467109i \(-0.154705\pi\)
−0.932045 + 0.362342i \(0.881977\pi\)
\(542\) −1.25491 0.696837i −0.0539031 0.0299317i
\(543\) 6.99276 3.11734i 0.300088 0.133778i
\(544\) 4.48454 + 3.97848i 0.192273 + 0.170576i
\(545\) −1.96865 + 6.70461i −0.0843278 + 0.287194i
\(546\) 2.22534 + 0.634949i 0.0952359 + 0.0271733i
\(547\) −4.03688 + 42.2761i −0.172605 + 1.80760i 0.330966 + 0.943643i \(0.392625\pi\)
−0.503571 + 0.863954i \(0.667981\pi\)
\(548\) −16.2322 19.2790i −0.693405 0.823559i
\(549\) 15.0498 + 18.0169i 0.642308 + 0.768944i
\(550\) −14.9184 + 6.26356i −0.636123 + 0.267079i
\(551\) 1.70076 0.499387i 0.0724546 0.0212746i
\(552\) −34.2081 + 13.4363i −1.45599 + 0.571887i
\(553\) −12.2436 6.31204i −0.520653 0.268415i
\(554\) 2.14490 + 1.62953i 0.0911282 + 0.0692320i
\(555\) 5.29980 2.67183i 0.224964 0.113413i
\(556\) −17.8976 5.53225i −0.759029 0.234620i
\(557\) −22.7401 + 16.1932i −0.963530 + 0.686127i −0.949497 0.313775i \(-0.898406\pi\)
−0.0140326 + 0.999902i \(0.504467\pi\)
\(558\) −0.803887 + 0.365775i −0.0340312 + 0.0154845i
\(559\) 1.60378 + 4.00606i 0.0678328 + 0.169438i
\(560\) −2.67902 + 9.81817i −0.113209 + 0.414894i
\(561\) 4.75029 + 8.40239i 0.200558 + 0.354749i
\(562\) 23.2882 37.6038i 0.982353 1.58622i
\(563\) 16.0589 35.1640i 0.676800 1.48199i −0.189199 0.981939i \(-0.560589\pi\)
0.865999 0.500047i \(-0.166684\pi\)
\(564\) 0.293156 + 0.0935297i 0.0123441 + 0.00393831i
\(565\) 14.6117 25.3082i 0.614718 1.06472i
\(566\) −0.992788 + 12.6219i −0.0417300 + 0.530536i
\(567\) −12.5909 + 5.20814i −0.528769 + 0.218721i
\(568\) 34.4244 + 24.3833i 1.44442 + 1.02310i
\(569\) −23.7320 5.75733i −0.994899 0.241360i −0.294919 0.955522i \(-0.595293\pi\)
−0.699980 + 0.714163i \(0.746808\pi\)
\(570\) 3.13028 + 7.64876i 0.131113 + 0.320371i
\(571\) 10.9836 27.4356i 0.459648 1.14815i −0.499770 0.866158i \(-0.666582\pi\)
0.959418 0.281987i \(-0.0909936\pi\)
\(572\) −3.46944 5.57080i −0.145065 0.232927i
\(573\) −3.75411 20.4731i −0.156830 0.855278i
\(574\) 3.73310 + 7.82571i 0.155817 + 0.326639i
\(575\) 5.33853 15.4247i 0.222632 0.643254i
\(576\) 23.9980 + 0.313490i 0.999915 + 0.0130621i
\(577\) 1.59439 + 33.4704i 0.0663753 + 1.39339i 0.748976 + 0.662598i \(0.230546\pi\)
−0.682600 + 0.730792i \(0.739151\pi\)
\(578\) −5.65733 21.7289i −0.235314 0.903804i
\(579\) −11.4490 + 2.66806i −0.475803 + 0.110881i
\(580\) −2.01715 2.17654i −0.0837574 0.0903758i
\(581\) 12.0058 1.72618i 0.498085 0.0716138i
\(582\) 9.98989 + 3.37209i 0.414094 + 0.139778i
\(583\) 15.9527 20.2856i 0.660695 0.840142i
\(584\) 10.3308 + 15.9865i 0.427492 + 0.661525i
\(585\) −2.34003 2.10297i −0.0967485 0.0869471i
\(586\) −13.1926 24.5733i −0.544981 1.01511i
\(587\) 13.4320 18.8625i 0.554396 0.778540i −0.438346 0.898806i \(-0.644435\pi\)
0.992742 + 0.120266i \(0.0383748\pi\)
\(588\) 4.97457 + 15.5316i 0.205148 + 0.640513i
\(589\) −0.351588 0.225952i −0.0144869 0.00931018i
\(590\) −17.1581 17.4033i −0.706388 0.716483i
\(591\) −22.9536 0.207663i −0.944186 0.00854210i
\(592\) 6.55159 4.85781i 0.269269 0.199655i
\(593\) −5.08882 6.47096i −0.208973 0.265730i 0.670256 0.742130i \(-0.266184\pi\)
−0.879229 + 0.476399i \(0.841942\pi\)
\(594\) 36.3824 + 13.0188i 1.49279 + 0.534166i
\(595\) −2.03776 + 1.76573i −0.0835400 + 0.0723878i
\(596\) −12.7681 + 26.9399i −0.523000 + 1.10350i
\(597\) −11.2341 + 44.5448i −0.459781 + 1.82310i
\(598\) 6.52099 + 1.14419i 0.266663 + 0.0467894i
\(599\) −5.34187 + 2.75393i −0.218263 + 0.112522i −0.563891 0.825849i \(-0.690696\pi\)
0.345628 + 0.938372i \(0.387666\pi\)
\(600\) −7.03254 + 8.00968i −0.287102 + 0.326994i
\(601\) −7.57514 31.2252i −0.308997 1.27370i −0.888555 0.458770i \(-0.848290\pi\)
0.579558 0.814931i \(-0.303225\pi\)
\(602\) 8.38530 12.2019i 0.341759 0.497311i
\(603\) 4.38115 + 24.1621i 0.178414 + 0.983955i
\(604\) 1.68223 0.645923i 0.0684491 0.0262822i
\(605\) 27.1944 6.59730i 1.10561 0.268218i
\(606\) 19.4632 10.2234i 0.790639 0.415297i
\(607\) −3.62609 7.03364i −0.147179 0.285487i 0.803709 0.595022i \(-0.202857\pi\)
−0.950888 + 0.309536i \(0.899826\pi\)
\(608\) 6.02811 + 9.62515i 0.244472 + 0.390351i
\(609\) 2.24488 + 0.566155i 0.0909673 + 0.0229418i
\(610\) 18.3618 2.95389i 0.743448 0.119600i
\(611\) −0.0363004 0.0418929i −0.00146856 0.00169480i
\(612\) 5.23544 + 3.60859i 0.211630 + 0.145868i
\(613\) −8.07818 + 6.35275i −0.326275 + 0.256585i −0.767837 0.640645i \(-0.778667\pi\)
0.441562 + 0.897231i \(0.354424\pi\)
\(614\) 15.8656 + 13.2902i 0.640283 + 0.536347i
\(615\) 0.106640 11.7873i 0.00430014 0.475309i
\(616\) −9.30242 + 20.5058i −0.374805 + 0.826202i
\(617\) −11.3067 + 17.5935i −0.455189 + 0.708288i −0.990674 0.136257i \(-0.956493\pi\)
0.535484 + 0.844545i \(0.320129\pi\)
\(618\) −37.0455 28.6765i −1.49019 1.15354i
\(619\) −17.7828 12.6631i −0.714753 0.508973i 0.163875 0.986481i \(-0.447601\pi\)
−0.878627 + 0.477508i \(0.841540\pi\)
\(620\) −0.0763852 + 0.695500i −0.00306770 + 0.0279320i
\(621\) −34.2756 + 18.5675i −1.37543 + 0.745089i
\(622\) 31.6628 6.65291i 1.26956 0.266757i
\(623\) 1.38082 + 1.08589i 0.0553215 + 0.0435053i
\(624\) −3.66067 2.30028i −0.146544 0.0920850i
\(625\) 1.33598 + 9.29196i 0.0534393 + 0.371678i
\(626\) −0.935763 + 4.15934i −0.0374006 + 0.166241i
\(627\) 4.15003 + 17.8083i 0.165736 + 0.711196i
\(628\) 8.06476 + 2.92002i 0.321819 + 0.116522i
\(629\) 2.15844 0.102819i 0.0860625 0.00409966i
\(630\) −1.55105 + 10.6824i −0.0617951 + 0.425599i
\(631\) −31.4019 10.8683i −1.25009 0.432661i −0.379741 0.925093i \(-0.623987\pi\)
−0.870351 + 0.492432i \(0.836108\pi\)
\(632\) 18.6698 + 17.7122i 0.742646 + 0.704553i
\(633\) −6.96562 + 1.27727i −0.276859 + 0.0507668i
\(634\) −32.4920 14.1875i −1.29042 0.563458i
\(635\) −9.63460 3.85711i −0.382338 0.153065i
\(636\) 3.60441 16.6143i 0.142924 0.658800i
\(637\) 0.692636 2.85508i 0.0274432 0.113123i
\(638\) −3.64147 5.46338i −0.144167 0.216297i
\(639\) 39.3927 + 21.2191i 1.55835 + 0.839415i
\(640\) 9.92930 16.2147i 0.392490 0.640941i
\(641\) −30.0329 17.3395i −1.18623 0.684869i −0.228781 0.973478i \(-0.573474\pi\)
−0.957447 + 0.288609i \(0.906807\pi\)
\(642\) −4.43775 14.6963i −0.175144 0.580016i
\(643\) 9.29787 + 4.24620i 0.366672 + 0.167454i 0.590226 0.807238i \(-0.299039\pi\)
−0.223554 + 0.974692i \(0.571766\pi\)
\(644\) −9.14218 20.7945i −0.360252 0.819417i
\(645\) −17.5219 + 9.90601i −0.689924 + 0.390049i
\(646\) −0.0929457 + 3.00751i −0.00365690 + 0.118329i
\(647\) −1.01401 + 0.405948i −0.0398648 + 0.0159594i −0.391509 0.920174i \(-0.628047\pi\)
0.351644 + 0.936134i \(0.385623\pi\)
\(648\) 25.3044 2.77244i 0.994051 0.108912i
\(649\) −31.3651 44.0462i −1.23119 1.72896i
\(650\) 1.83304 0.571656i 0.0718976 0.0224222i
\(651\) −0.245733 0.487433i −0.00963104 0.0191040i
\(652\) 7.90521 + 23.9341i 0.309592 + 0.937332i
\(653\) 10.8713 21.0874i 0.425428 0.825215i −0.574549 0.818470i \(-0.694823\pi\)
0.999977 0.00674499i \(-0.00214701\pi\)
\(654\) 0.0779984 + 10.1846i 0.00304998 + 0.398248i
\(655\) −4.32711 14.7368i −0.169074 0.575813i
\(656\) −2.61304 15.9865i −0.102022 0.624166i
\(657\) 12.9425 + 15.4942i 0.504935 + 0.604487i
\(658\) −0.0505265 + 0.183354i −0.00196973 + 0.00714789i
\(659\) 24.4456 + 2.33427i 0.952266 + 0.0909304i 0.559611 0.828755i \(-0.310951\pi\)
0.392655 + 0.919686i \(0.371557\pi\)
\(660\) 23.5950 19.5040i 0.918434 0.759194i
\(661\) 38.2339 + 11.2265i 1.48713 + 0.436660i 0.921624 0.388085i \(-0.126863\pi\)
0.565505 + 0.824745i \(0.308681\pi\)
\(662\) 0.895158 + 7.96585i 0.0347913 + 0.309602i
\(663\) −0.466391 1.04620i −0.0181131 0.0406310i
\(664\) −22.4378 3.16848i −0.870756 0.122961i
\(665\) −4.64643 + 2.12195i −0.180181 + 0.0822858i
\(666\) 6.26918 5.96106i 0.242926 0.230986i
\(667\) 6.55611 + 0.942627i 0.253854 + 0.0364987i
\(668\) 25.6796 17.7427i 0.993573 0.686484i
\(669\) −14.1587 + 39.7418i −0.547405 + 1.53651i
\(670\) 18.2271 + 6.79890i 0.704174 + 0.262664i
\(671\) 41.1484 1.58852
\(672\) 0.398666 + 14.8283i 0.0153789 + 0.572013i
\(673\) 3.37673 23.4856i 0.130163 0.905305i −0.815175 0.579214i \(-0.803359\pi\)
0.945339 0.326091i \(-0.105731\pi\)
\(674\) −0.623783 + 4.92070i −0.0240272 + 0.189538i
\(675\) −6.36803 + 9.34138i −0.245105 + 0.359550i
\(676\) −11.2378 22.5792i −0.432222 0.868431i
\(677\) 19.4706 + 20.4201i 0.748314 + 0.784809i 0.982277 0.187436i \(-0.0600178\pi\)
−0.233962 + 0.972246i \(0.575169\pi\)
\(678\) 9.72472 41.4695i 0.373476 1.59263i
\(679\) −1.83597 + 6.25273i −0.0704580 + 0.239958i
\(680\) 4.57692 2.10414i 0.175517 0.0806900i
\(681\) −40.7146 19.0408i −1.56019 0.729644i
\(682\) −0.411268 + 1.49244i −0.0157483 + 0.0571484i
\(683\) 6.24320 + 1.20328i 0.238889 + 0.0460422i 0.307291 0.951616i \(-0.400578\pi\)
−0.0684011 + 0.997658i \(0.521790\pi\)
\(684\) 7.59045 + 9.35358i 0.290228 + 0.357643i
\(685\) −20.3193 + 5.96627i −0.776359 + 0.227960i
\(686\) −23.5484 + 8.59328i −0.899081 + 0.328093i
\(687\) 8.58568 + 9.16908i 0.327564 + 0.349822i
\(688\) −21.4096 + 17.5130i −0.816233 + 0.667677i
\(689\) −2.11340 + 2.21647i −0.0805141 + 0.0844408i
\(690\) −1.23315 + 30.8575i −0.0469452 + 1.17472i
\(691\) 34.8819 24.8393i 1.32697 0.944932i 0.326971 0.945034i \(-0.393972\pi\)
1.00000 0.000102107i \(3.25016e-5\pi\)
\(692\) 9.34780 + 16.7348i 0.355350 + 0.636163i
\(693\) −7.14214 + 22.7901i −0.271307 + 0.865726i
\(694\) 0.241596 7.81747i 0.00917084 0.296747i
\(695\) −10.3082 + 11.8963i −0.391012 + 0.451252i
\(696\) −3.73162 2.18707i −0.141447 0.0829007i
\(697\) 1.78283 3.90385i 0.0675295 0.147869i
\(698\) −26.4502 35.8608i −1.00115 1.35735i
\(699\) −20.1247 23.6542i −0.761187 0.894684i
\(700\) −5.12014 4.14544i −0.193523 0.156683i
\(701\) 0.312375 + 1.62075i 0.0117982 + 0.0612150i 0.987351 0.158552i \(-0.0506825\pi\)
−0.975552 + 0.219767i \(0.929470\pi\)
\(702\) −4.15116 1.94837i −0.156675 0.0735367i
\(703\) 3.97825 + 0.965114i 0.150043 + 0.0364000i
\(704\) 27.3881 31.9307i 1.03223 1.20343i
\(705\) 0.171085 0.193871i 0.00644345 0.00730161i
\(706\) 2.13846 + 0.933753i 0.0804822 + 0.0351423i
\(707\) 6.79407 + 11.7677i 0.255517 + 0.442569i
\(708\) −31.2737 17.0539i −1.17534 0.640924i
\(709\) 11.7583 33.9733i 0.441591 1.27589i −0.476377 0.879241i \(-0.658050\pi\)
0.917968 0.396653i \(-0.129828\pi\)
\(710\) 30.3979 18.2339i 1.14081 0.684307i
\(711\) 21.9445 + 16.2329i 0.822984 + 0.608782i
\(712\) −1.91038 2.66852i −0.0715946 0.100007i
\(713\) −0.844316 1.31378i −0.0316199 0.0492015i
\(714\) −2.09936 + 3.32234i −0.0785666 + 0.124335i
\(715\) −5.45847 + 0.784810i −0.204135 + 0.0293502i
\(716\) −15.4384 + 23.2892i −0.576958 + 0.870359i
\(717\) −0.509514 0.808815i −0.0190281 0.0302057i
\(718\) −5.65746 + 1.18873i −0.211135 + 0.0443631i
\(719\) −0.901350 + 18.9217i −0.0336147 + 0.705659i 0.917670 + 0.397344i \(0.130068\pi\)
−0.951284 + 0.308315i \(0.900235\pi\)
\(720\) 8.35685 18.3537i 0.311442 0.684001i
\(721\) 16.7956 23.5861i 0.625500 0.878392i
\(722\) 6.58882 20.1184i 0.245211 0.748728i
\(723\) 1.87531 + 2.42956i 0.0697434 + 0.0903563i
\(724\) −1.54974 8.70365i −0.0575958 0.323469i
\(725\) 1.81530 0.628283i 0.0674187 0.0233338i
\(726\) 35.1653 20.6634i 1.30511 0.766889i
\(727\) −1.37213 1.74480i −0.0508894 0.0647111i 0.759942 0.649991i \(-0.225227\pi\)
−0.810832 + 0.585280i \(0.800985\pi\)
\(728\) 1.33025 2.31751i 0.0493024 0.0858926i
\(729\) 26.2809 6.19005i 0.973365 0.229261i
\(730\) 15.7908 2.54029i 0.584444 0.0940204i
\(731\) −7.29511 + 0.696598i −0.269819 + 0.0257646i
\(732\) 24.3760 11.8581i 0.900964 0.438289i
\(733\) 1.21479 0.626265i 0.0448691 0.0231316i −0.435646 0.900118i \(-0.643480\pi\)
0.480515 + 0.876986i \(0.340450\pi\)
\(734\) −0.893333 + 0.968800i −0.0329735 + 0.0357591i
\(735\) 13.6295 + 1.42600i 0.502733 + 0.0525989i
\(736\) 5.54876 + 42.0735i 0.204530 + 1.55085i
\(737\) 37.4268 + 21.2571i 1.37863 + 0.783014i
\(738\) −4.81762 16.4920i −0.177339 0.607078i
\(739\) −8.93312 + 2.16715i −0.328610 + 0.0797199i −0.396670 0.917961i \(-0.629834\pi\)
0.0680599 + 0.997681i \(0.478319\pi\)
\(740\) −1.52108 6.68244i −0.0559160 0.245651i
\(741\) −0.289376 2.15059i −0.0106305 0.0790040i
\(742\) 10.3495 + 1.81595i 0.379943 + 0.0666658i
\(743\) 36.9893 3.53205i 1.35701 0.129578i 0.608947 0.793211i \(-0.291592\pi\)
0.748059 + 0.663632i \(0.230986\pi\)
\(744\) 0.186458 + 1.00263i 0.00683588 + 0.0367582i
\(745\) 16.4047 + 18.9321i 0.601023 + 0.693617i
\(746\) 12.4267 10.1129i 0.454973 0.370261i
\(747\) −24.0311 0.434856i −0.879251 0.0159106i
\(748\) 10.7374 2.98798i 0.392600 0.109251i
\(749\) 8.96654 3.10335i 0.327630