Properties

Label 225.2.q.a.16.7
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.7
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.43805 + 0.640262i) q^{2} +(-0.230952 - 1.71658i) q^{3} +(0.319797 - 0.355170i) q^{4} +(2.05887 - 0.872377i) q^{5} +(1.43118 + 2.32067i) q^{6} +(-0.385688 + 0.668032i) q^{7} +(0.740392 - 2.27869i) q^{8} +(-2.89332 + 0.792896i) q^{9} +O(q^{10})\) \(q+(-1.43805 + 0.640262i) q^{2} +(-0.230952 - 1.71658i) q^{3} +(0.319797 - 0.355170i) q^{4} +(2.05887 - 0.872377i) q^{5} +(1.43118 + 2.32067i) q^{6} +(-0.385688 + 0.668032i) q^{7} +(0.740392 - 2.27869i) q^{8} +(-2.89332 + 0.792896i) q^{9} +(-2.40222 + 2.57274i) q^{10} +(1.46921 - 0.654136i) q^{11} +(-0.683537 - 0.466931i) q^{12} +(-2.53563 - 1.12893i) q^{13} +(0.126924 - 1.20761i) q^{14} +(-1.97301 - 3.33275i) q^{15} +(0.494152 + 4.70154i) q^{16} +(2.35013 - 7.23295i) q^{17} +(3.65309 - 2.99271i) q^{18} +(0.829215 - 2.55206i) q^{19} +(0.348578 - 1.01023i) q^{20} +(1.23581 + 0.507783i) q^{21} +(-1.69399 + 1.88136i) q^{22} +(0.468457 - 4.45707i) q^{23} +(-4.08256 - 0.744678i) q^{24} +(3.47792 - 3.59223i) q^{25} +4.36917 q^{26} +(2.02929 + 4.78351i) q^{27} +(0.113923 + 0.350619i) q^{28} +(-2.09140 - 0.444541i) q^{29} +(4.97112 + 3.52943i) q^{30} +(-3.66490 + 0.778999i) q^{31} +(-1.32488 - 2.29475i) q^{32} +(-1.46220 - 2.37095i) q^{33} +(1.25138 + 11.9061i) q^{34} +(-0.211307 + 1.71186i) q^{35} +(-0.643662 + 1.28119i) q^{36} +(4.39272 - 3.19150i) q^{37} +(0.441533 + 4.20091i) q^{38} +(-1.35230 + 4.61334i) q^{39} +(-0.463507 - 5.33744i) q^{40} +(7.70604 + 3.43095i) q^{41} +(-2.10227 + 0.0610219i) q^{42} +(-3.04596 + 5.27576i) q^{43} +(0.237520 - 0.731011i) q^{44} +(-5.26528 + 4.15654i) q^{45} +(2.18003 + 6.70943i) q^{46} +(-9.58362 - 2.03706i) q^{47} +(7.95647 - 1.93408i) q^{48} +(3.20249 + 5.54687i) q^{49} +(-2.70146 + 7.39259i) q^{50} +(-12.9587 - 2.36373i) q^{51} +(-1.21185 + 0.539549i) q^{52} +(2.26847 + 6.98162i) q^{53} +(-5.98092 - 5.57966i) q^{54} +(2.45427 - 2.62849i) q^{55} +(1.23668 + 1.37347i) q^{56} +(-4.57234 - 0.834015i) q^{57} +(3.29216 - 0.699771i) q^{58} +(-6.71816 - 2.99112i) q^{59} +(-1.81466 - 0.365049i) q^{60} +(0.900696 - 0.401016i) q^{61} +(4.77156 - 3.46674i) q^{62} +(0.586241 - 2.23864i) q^{63} +(-4.27468 - 3.10573i) q^{64} +(-6.20539 - 0.112308i) q^{65} +(3.62074 + 2.47337i) q^{66} +(0.344244 - 0.0731714i) q^{67} +(-1.81737 - 3.14777i) q^{68} +(-7.75912 + 0.225222i) q^{69} +(-0.792167 - 2.59703i) q^{70} +(2.11112 + 6.49736i) q^{71} +(-0.335428 + 7.18005i) q^{72} +(7.84669 + 5.70095i) q^{73} +(-4.27356 + 7.40203i) q^{74} +(-6.96959 - 5.14050i) q^{75} +(-0.641236 - 1.11065i) q^{76} +(-0.129675 + 1.23377i) q^{77} +(-1.00907 - 7.50006i) q^{78} +(5.42679 + 1.15350i) q^{79} +(5.11892 + 9.24879i) q^{80} +(7.74263 - 4.58821i) q^{81} -13.2784 q^{82} +(8.67218 + 9.63143i) q^{83} +(0.575557 - 0.276535i) q^{84} +(-1.47125 - 16.9419i) q^{85} +(1.00238 - 9.53703i) q^{86} +(-0.280080 + 3.69273i) q^{87} +(-0.402780 - 3.83220i) q^{88} +(12.1950 + 8.86019i) q^{89} +(4.91047 - 9.34848i) q^{90} +(1.73212 - 1.25846i) q^{91} +(-1.43321 - 1.59174i) q^{92} +(2.18363 + 6.11120i) q^{93} +(15.0860 - 3.20663i) q^{94} +(-0.519112 - 5.97776i) q^{95} +(-3.63316 + 2.80424i) q^{96} +(4.28233 + 0.910237i) q^{97} +(-8.15680 - 5.92626i) q^{98} +(-3.73224 + 3.05756i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.43805 + 0.640262i −1.01686 + 0.452734i −0.846352 0.532623i \(-0.821206\pi\)
−0.170504 + 0.985357i \(0.554540\pi\)
\(3\) −0.230952 1.71658i −0.133340 0.991070i
\(4\) 0.319797 0.355170i 0.159898 0.177585i
\(5\) 2.05887 0.872377i 0.920756 0.390139i
\(6\) 1.43118 + 2.32067i 0.584278 + 0.947409i
\(7\) −0.385688 + 0.668032i −0.145776 + 0.252492i −0.929662 0.368413i \(-0.879901\pi\)
0.783886 + 0.620905i \(0.213235\pi\)
\(8\) 0.740392 2.27869i 0.261768 0.805640i
\(9\) −2.89332 + 0.792896i −0.964441 + 0.264299i
\(10\) −2.40222 + 2.57274i −0.759647 + 0.813572i
\(11\) 1.46921 0.654136i 0.442984 0.197229i −0.173109 0.984903i \(-0.555381\pi\)
0.616093 + 0.787673i \(0.288715\pi\)
\(12\) −0.683537 0.466931i −0.197320 0.134791i
\(13\) −2.53563 1.12893i −0.703256 0.313110i 0.0237721 0.999717i \(-0.492432\pi\)
−0.727028 + 0.686608i \(0.759099\pi\)
\(14\) 0.126924 1.20761i 0.0339220 0.322746i
\(15\) −1.97301 3.33275i −0.509429 0.860513i
\(16\) 0.494152 + 4.70154i 0.123538 + 1.17539i
\(17\) 2.35013 7.23295i 0.569990 1.75425i −0.0826476 0.996579i \(-0.526338\pi\)
0.652638 0.757670i \(-0.273662\pi\)
\(18\) 3.65309 2.99271i 0.861041 0.705388i
\(19\) 0.829215 2.55206i 0.190235 0.585483i −0.809764 0.586755i \(-0.800405\pi\)
0.999999 + 0.00127243i \(0.000405027\pi\)
\(20\) 0.348578 1.01023i 0.0779444 0.225895i
\(21\) 1.23581 + 0.507783i 0.269675 + 0.110807i
\(22\) −1.69399 + 1.88136i −0.361159 + 0.401108i
\(23\) 0.468457 4.45707i 0.0976800 0.929363i −0.830447 0.557098i \(-0.811915\pi\)
0.928127 0.372265i \(-0.121419\pi\)
\(24\) −4.08256 0.744678i −0.833350 0.152007i
\(25\) 3.47792 3.59223i 0.695583 0.718446i
\(26\) 4.36917 0.856866
\(27\) 2.02929 + 4.78351i 0.390537 + 0.920587i
\(28\) 0.113923 + 0.350619i 0.0215294 + 0.0662608i
\(29\) −2.09140 0.444541i −0.388363 0.0825491i 0.00959200 0.999954i \(-0.496947\pi\)
−0.397955 + 0.917405i \(0.630280\pi\)
\(30\) 4.97112 + 3.52943i 0.907599 + 0.644382i
\(31\) −3.66490 + 0.778999i −0.658236 + 0.139912i −0.524907 0.851160i \(-0.675900\pi\)
−0.133329 + 0.991072i \(0.542567\pi\)
\(32\) −1.32488 2.29475i −0.234207 0.405659i
\(33\) −1.46220 2.37095i −0.254536 0.412730i
\(34\) 1.25138 + 11.9061i 0.214609 + 2.04187i
\(35\) −0.211307 + 1.71186i −0.0357175 + 0.289357i
\(36\) −0.643662 + 1.28119i −0.107277 + 0.213531i
\(37\) 4.39272 3.19150i 0.722159 0.524679i −0.164915 0.986308i \(-0.552735\pi\)
0.887073 + 0.461629i \(0.152735\pi\)
\(38\) 0.441533 + 4.20091i 0.0716262 + 0.681478i
\(39\) −1.35230 + 4.61334i −0.216542 + 0.738726i
\(40\) −0.463507 5.33744i −0.0732868 0.843923i
\(41\) 7.70604 + 3.43095i 1.20348 + 0.535824i 0.907776 0.419455i \(-0.137779\pi\)
0.295705 + 0.955279i \(0.404445\pi\)
\(42\) −2.10227 + 0.0610219i −0.324387 + 0.00941589i
\(43\) −3.04596 + 5.27576i −0.464505 + 0.804546i −0.999179 0.0405121i \(-0.987101\pi\)
0.534674 + 0.845058i \(0.320434\pi\)
\(44\) 0.237520 0.731011i 0.0358074 0.110204i
\(45\) −5.26528 + 4.15654i −0.784902 + 0.619621i
\(46\) 2.18003 + 6.70943i 0.321427 + 0.989251i
\(47\) −9.58362 2.03706i −1.39791 0.297136i −0.553510 0.832842i \(-0.686712\pi\)
−0.844404 + 0.535706i \(0.820045\pi\)
\(48\) 7.95647 1.93408i 1.14842 0.279161i
\(49\) 3.20249 + 5.54687i 0.457498 + 0.792411i
\(50\) −2.70146 + 7.39259i −0.382044 + 1.04547i
\(51\) −12.9587 2.36373i −1.81459 0.330989i
\(52\) −1.21185 + 0.539549i −0.168053 + 0.0748220i
\(53\) 2.26847 + 6.98162i 0.311598 + 0.958999i 0.977132 + 0.212632i \(0.0682036\pi\)
−0.665535 + 0.746367i \(0.731796\pi\)
\(54\) −5.98092 5.57966i −0.813901 0.759296i
\(55\) 2.45427 2.62849i 0.330934 0.354425i
\(56\) 1.23668 + 1.37347i 0.165258 + 0.183538i
\(57\) −4.57234 0.834015i −0.605621 0.110468i
\(58\) 3.29216 0.699771i 0.432282 0.0918844i
\(59\) −6.71816 2.99112i −0.874630 0.389410i −0.0802093 0.996778i \(-0.525559\pi\)
−0.794421 + 0.607368i \(0.792226\pi\)
\(60\) −1.81466 0.365049i −0.234271 0.0471276i
\(61\) 0.900696 0.401016i 0.115322 0.0513448i −0.348264 0.937396i \(-0.613229\pi\)
0.463587 + 0.886052i \(0.346562\pi\)
\(62\) 4.77156 3.46674i 0.605988 0.440276i
\(63\) 0.586241 2.23864i 0.0738595 0.282042i
\(64\) −4.27468 3.10573i −0.534334 0.388217i
\(65\) −6.20539 0.112308i −0.769684 0.0139301i
\(66\) 3.62074 + 2.47337i 0.445683 + 0.304450i
\(67\) 0.344244 0.0731714i 0.0420561 0.00893931i −0.186836 0.982391i \(-0.559823\pi\)
0.228892 + 0.973452i \(0.426490\pi\)
\(68\) −1.81737 3.14777i −0.220388 0.381723i
\(69\) −7.75912 + 0.225222i −0.934089 + 0.0271135i
\(70\) −0.792167 2.59703i −0.0946820 0.310405i
\(71\) 2.11112 + 6.49736i 0.250544 + 0.771095i 0.994675 + 0.103061i \(0.0328638\pi\)
−0.744131 + 0.668034i \(0.767136\pi\)
\(72\) −0.335428 + 7.18005i −0.0395305 + 0.846177i
\(73\) 7.84669 + 5.70095i 0.918385 + 0.667246i 0.943122 0.332448i \(-0.107875\pi\)
−0.0247362 + 0.999694i \(0.507875\pi\)
\(74\) −4.27356 + 7.40203i −0.496792 + 0.860468i
\(75\) −6.96959 5.14050i −0.804779 0.593574i
\(76\) −0.641236 1.11065i −0.0735548 0.127401i
\(77\) −0.129675 + 1.23377i −0.0147778 + 0.140601i
\(78\) −1.00907 7.50006i −0.114254 0.849214i
\(79\) 5.42679 + 1.15350i 0.610562 + 0.129779i 0.502807 0.864399i \(-0.332301\pi\)
0.107755 + 0.994178i \(0.465634\pi\)
\(80\) 5.11892 + 9.24879i 0.572312 + 1.03405i
\(81\) 7.74263 4.58821i 0.860293 0.509801i
\(82\) −13.2784 −1.46635
\(83\) 8.67218 + 9.63143i 0.951895 + 1.05719i 0.998301 + 0.0582643i \(0.0185566\pi\)
−0.0464058 + 0.998923i \(0.514777\pi\)
\(84\) 0.575557 0.276535i 0.0627984 0.0301724i
\(85\) −1.47125 16.9419i −0.159579 1.83761i
\(86\) 1.00238 9.53703i 0.108090 1.02840i
\(87\) −0.280080 + 3.69273i −0.0300277 + 0.395902i
\(88\) −0.402780 3.83220i −0.0429365 0.408514i
\(89\) 12.1950 + 8.86019i 1.29267 + 0.939178i 0.999856 0.0169914i \(-0.00540879\pi\)
0.292813 + 0.956170i \(0.405409\pi\)
\(90\) 4.91047 9.34848i 0.517609 0.985416i
\(91\) 1.73212 1.25846i 0.181576 0.131923i
\(92\) −1.43321 1.59174i −0.149422 0.165950i
\(93\) 2.18363 + 6.11120i 0.226432 + 0.633702i
\(94\) 15.0860 3.20663i 1.55600 0.330738i
\(95\) −0.519112 5.97776i −0.0532598 0.613305i
\(96\) −3.63316 + 2.80424i −0.370807 + 0.286206i
\(97\) 4.28233 + 0.910237i 0.434805 + 0.0924206i 0.420114 0.907472i \(-0.361990\pi\)
0.0146910 + 0.999892i \(0.495324\pi\)
\(98\) −8.15680 5.92626i −0.823961 0.598643i
\(99\) −3.73224 + 3.05756i −0.375105 + 0.307296i
\(100\) −0.163627 2.38403i −0.0163627 0.238403i
\(101\) 8.29213 14.3624i 0.825098 1.42911i −0.0767463 0.997051i \(-0.524453\pi\)
0.901844 0.432061i \(-0.142214\pi\)
\(102\) 20.1487 4.89782i 1.99502 0.484956i
\(103\) −5.66533 + 6.29198i −0.558221 + 0.619967i −0.954517 0.298155i \(-0.903629\pi\)
0.396296 + 0.918123i \(0.370295\pi\)
\(104\) −4.44985 + 4.94206i −0.436344 + 0.484609i
\(105\) 2.98735 0.0326294i 0.291536 0.00318430i
\(106\) −7.73224 8.58752i −0.751021 0.834094i
\(107\) −17.8296 −1.72365 −0.861827 0.507203i \(-0.830679\pi\)
−0.861827 + 0.507203i \(0.830679\pi\)
\(108\) 2.34792 + 0.809008i 0.225929 + 0.0778468i
\(109\) 7.39560 5.37322i 0.708370 0.514661i −0.174277 0.984697i \(-0.555759\pi\)
0.882647 + 0.470036i \(0.155759\pi\)
\(110\) −1.84644 + 5.35128i −0.176051 + 0.510224i
\(111\) −6.49298 6.80339i −0.616286 0.645749i
\(112\) −3.33137 1.48322i −0.314785 0.140151i
\(113\) −10.3388 4.60312i −0.972591 0.433025i −0.141974 0.989870i \(-0.545345\pi\)
−0.830616 + 0.556845i \(0.812012\pi\)
\(114\) 7.10924 1.72814i 0.665842 0.161855i
\(115\) −2.92375 9.58521i −0.272641 0.893825i
\(116\) −0.826710 + 0.600640i −0.0767581 + 0.0557680i
\(117\) 8.23151 + 1.25588i 0.761003 + 0.116106i
\(118\) 11.5762 1.06567
\(119\) 3.92543 + 4.35963i 0.359843 + 0.399646i
\(120\) −9.05512 + 2.02834i −0.826615 + 0.185161i
\(121\) −5.62974 + 6.25247i −0.511795 + 0.568406i
\(122\) −1.03849 + 1.15336i −0.0940207 + 0.104421i
\(123\) 4.10979 14.0205i 0.370568 1.26418i
\(124\) −0.895346 + 1.55078i −0.0804044 + 0.139265i
\(125\) 4.02681 10.4300i 0.360169 0.932887i
\(126\) 0.590272 + 3.59463i 0.0525856 + 0.320235i
\(127\) 4.05863 + 2.94877i 0.360146 + 0.261661i 0.753113 0.657891i \(-0.228551\pi\)
−0.392967 + 0.919552i \(0.628551\pi\)
\(128\) 13.3194 + 2.83112i 1.17728 + 0.250238i
\(129\) 9.75976 + 4.01021i 0.859299 + 0.353079i
\(130\) 8.99557 3.81157i 0.788964 0.334297i
\(131\) 12.4292 2.64190i 1.08594 0.230824i 0.370033 0.929019i \(-0.379347\pi\)
0.715908 + 0.698195i \(0.246013\pi\)
\(132\) −1.30970 0.238895i −0.113994 0.0207931i
\(133\) 1.38504 + 1.53824i 0.120098 + 0.133382i
\(134\) −0.448192 + 0.325631i −0.0387179 + 0.0281302i
\(135\) 8.35108 + 8.07834i 0.718746 + 0.695272i
\(136\) −14.7417 10.7104i −1.26409 0.918413i
\(137\) −0.0124407 0.118365i −0.00106288 0.0101126i 0.993978 0.109583i \(-0.0349517\pi\)
−0.995040 + 0.0994708i \(0.968285\pi\)
\(138\) 11.0138 5.29175i 0.937559 0.450464i
\(139\) −1.00822 + 9.59258i −0.0855162 + 0.813632i 0.864752 + 0.502199i \(0.167476\pi\)
−0.950268 + 0.311433i \(0.899191\pi\)
\(140\) 0.540425 + 0.622496i 0.0456743 + 0.0526106i
\(141\) −1.28344 + 16.9216i −0.108085 + 1.42505i
\(142\) −7.19592 7.99187i −0.603868 0.670663i
\(143\) −4.46385 −0.373286
\(144\) −5.15758 13.2113i −0.429798 1.10094i
\(145\) −4.69373 + 0.909237i −0.389793 + 0.0755080i
\(146\) −14.9340 3.17433i −1.23595 0.262709i
\(147\) 8.78206 6.77840i 0.724332 0.559073i
\(148\) 0.271252 2.58079i 0.0222968 0.212140i
\(149\) −9.12616 15.8070i −0.747644 1.29496i −0.948949 0.315429i \(-0.897852\pi\)
0.201305 0.979529i \(-0.435482\pi\)
\(150\) 13.3139 + 2.92995i 1.08708 + 0.239229i
\(151\) 0.724047 1.25409i 0.0589221 0.102056i −0.835060 0.550159i \(-0.814567\pi\)
0.893982 + 0.448103i \(0.147900\pi\)
\(152\) −5.20142 3.77905i −0.421891 0.306522i
\(153\) −1.06470 + 22.7907i −0.0860762 + 1.84252i
\(154\) −0.603459 1.85726i −0.0486281 0.149662i
\(155\) −6.86599 + 4.80104i −0.551489 + 0.385629i
\(156\) 1.20606 + 1.95563i 0.0965621 + 0.156576i
\(157\) 1.86752 + 3.23464i 0.149044 + 0.258152i 0.930875 0.365339i \(-0.119047\pi\)
−0.781830 + 0.623491i \(0.785714\pi\)
\(158\) −8.54256 + 1.81578i −0.679609 + 0.144455i
\(159\) 11.4606 5.50643i 0.908887 0.436688i
\(160\) −4.72964 3.56881i −0.373911 0.282140i
\(161\) 2.79678 + 2.03198i 0.220417 + 0.160143i
\(162\) −8.19665 + 11.5554i −0.643990 + 0.907877i
\(163\) −16.7980 + 12.2045i −1.31572 + 0.955927i −0.315746 + 0.948844i \(0.602255\pi\)
−0.999975 + 0.00708335i \(0.997745\pi\)
\(164\) 3.68294 1.63975i 0.287589 0.128043i
\(165\) −5.07884 3.60590i −0.395387 0.280719i
\(166\) −18.6377 8.29803i −1.44656 0.644052i
\(167\) 6.89585 1.46576i 0.533617 0.113424i 0.0667808 0.997768i \(-0.478727\pi\)
0.466836 + 0.884344i \(0.345394\pi\)
\(168\) 2.07207 2.44007i 0.159863 0.188255i
\(169\) −3.54379 3.93578i −0.272599 0.302752i
\(170\) 12.9630 + 23.4214i 0.994217 + 1.79634i
\(171\) −0.375668 + 8.04142i −0.0287280 + 0.614943i
\(172\) 0.899704 + 2.76901i 0.0686018 + 0.211135i
\(173\) −23.6992 + 10.5516i −1.80182 + 0.802220i −0.833487 + 0.552539i \(0.813659\pi\)
−0.968328 + 0.249680i \(0.919674\pi\)
\(174\) −1.96155 5.48966i −0.148704 0.416170i
\(175\) 1.05833 + 3.70884i 0.0800023 + 0.280362i
\(176\) 3.80146 + 6.58432i 0.286546 + 0.496312i
\(177\) −3.58294 + 12.2231i −0.269310 + 0.918744i
\(178\) −23.2099 4.93342i −1.73966 0.369775i
\(179\) 0.949829 + 2.92327i 0.0709935 + 0.218496i 0.980258 0.197724i \(-0.0633549\pi\)
−0.909264 + 0.416219i \(0.863355\pi\)
\(180\) −0.207539 + 3.19932i −0.0154691 + 0.238463i
\(181\) 1.15231 3.54644i 0.0856503 0.263604i −0.899054 0.437837i \(-0.855745\pi\)
0.984704 + 0.174233i \(0.0557446\pi\)
\(182\) −1.68514 + 2.91875i −0.124911 + 0.216352i
\(183\) −0.896394 1.45351i −0.0662634 0.107446i
\(184\) −9.80945 4.36745i −0.723162 0.321972i
\(185\) 6.25986 10.4030i 0.460234 0.764844i
\(186\) −7.05295 7.39013i −0.517147 0.541870i
\(187\) −1.27849 12.1640i −0.0934927 0.889523i
\(188\) −3.78831 + 2.75237i −0.276291 + 0.200737i
\(189\) −3.97821 0.489314i −0.289372 0.0355924i
\(190\) 4.57384 + 8.26396i 0.331821 + 0.599530i
\(191\) 0.581035 + 5.52818i 0.0420422 + 0.400005i 0.995225 + 0.0976095i \(0.0311196\pi\)
−0.953183 + 0.302395i \(0.902214\pi\)
\(192\) −4.34401 + 8.05512i −0.313502 + 0.581328i
\(193\) 10.1655 + 17.6072i 0.731729 + 1.26739i 0.956144 + 0.292898i \(0.0946195\pi\)
−0.224415 + 0.974494i \(0.572047\pi\)
\(194\) −6.74100 + 1.43284i −0.483976 + 0.102872i
\(195\) 1.24036 + 10.6780i 0.0888239 + 0.764668i
\(196\) 2.99423 + 0.636443i 0.213873 + 0.0454602i
\(197\) −2.49915 7.69158i −0.178057 0.548002i 0.821703 0.569916i \(-0.193024\pi\)
−0.999760 + 0.0219135i \(0.993024\pi\)
\(198\) 3.40952 6.78654i 0.242304 0.482298i
\(199\) 11.8811 0.842231 0.421115 0.907007i \(-0.361639\pi\)
0.421115 + 0.907007i \(0.361639\pi\)
\(200\) −5.61056 10.5848i −0.396727 0.748455i
\(201\) −0.205109 0.574025i −0.0144672 0.0404886i
\(202\) −2.72882 + 25.9630i −0.191999 + 1.82675i
\(203\) 1.10360 1.22567i 0.0774572 0.0860250i
\(204\) −4.98369 + 3.84664i −0.348928 + 0.269319i
\(205\) 18.8588 + 0.341315i 1.31716 + 0.0238385i
\(206\) 4.11852 12.6755i 0.286951 0.883143i
\(207\) 2.17859 + 13.2672i 0.151423 + 0.922132i
\(208\) 4.05474 12.4792i 0.281146 0.865278i
\(209\) −0.451101 4.29194i −0.0312033 0.296880i
\(210\) −4.27507 + 1.95961i −0.295008 + 0.135226i
\(211\) 0.465727 4.43110i 0.0320620 0.305049i −0.966725 0.255817i \(-0.917656\pi\)
0.998787 0.0492328i \(-0.0156776\pi\)
\(212\) 3.20511 + 1.42701i 0.220128 + 0.0980072i
\(213\) 10.6657 5.12449i 0.730802 0.351125i
\(214\) 25.6399 11.4156i 1.75271 0.780356i
\(215\) −1.66879 + 13.5194i −0.113811 + 0.922012i
\(216\) 12.4026 1.08245i 0.843892 0.0736516i
\(217\) 0.893114 2.74872i 0.0606285 0.186595i
\(218\) −7.19499 + 12.4621i −0.487306 + 0.844039i
\(219\) 7.97396 14.7861i 0.538830 0.999155i
\(220\) −0.148694 1.71226i −0.0100250 0.115441i
\(221\) −14.1246 + 15.6869i −0.950121 + 1.05522i
\(222\) 13.6932 + 5.62642i 0.919027 + 0.377621i
\(223\) −10.0042 + 4.45416i −0.669931 + 0.298272i −0.713374 0.700784i \(-0.752834\pi\)
0.0434433 + 0.999056i \(0.486167\pi\)
\(224\) 2.04396 0.136568
\(225\) −7.21447 + 13.1511i −0.480965 + 0.876740i
\(226\) 17.8149 1.18503
\(227\) 20.9665 9.33488i 1.39159 0.619577i 0.432234 0.901762i \(-0.357726\pi\)
0.959360 + 0.282184i \(0.0910590\pi\)
\(228\) −1.75843 + 1.35724i −0.116455 + 0.0898855i
\(229\) 0.0380311 0.0422378i 0.00251316 0.00279115i −0.741887 0.670525i \(-0.766069\pi\)
0.744400 + 0.667734i \(0.232736\pi\)
\(230\) 10.3416 + 11.9121i 0.681902 + 0.785458i
\(231\) 2.14782 0.0623442i 0.141316 0.00410195i
\(232\) −2.56143 + 4.43652i −0.168166 + 0.291272i
\(233\) 3.43724 10.5787i 0.225181 0.693036i −0.773092 0.634294i \(-0.781291\pi\)
0.998273 0.0587424i \(-0.0187091\pi\)
\(234\) −12.6414 + 3.46430i −0.826396 + 0.226468i
\(235\) −21.5085 + 4.16648i −1.40306 + 0.271791i
\(236\) −3.21080 + 1.42954i −0.209005 + 0.0930552i
\(237\) 0.726754 9.58195i 0.0472078 0.622415i
\(238\) −8.43627 3.75607i −0.546842 0.243470i
\(239\) 0.705778 6.71503i 0.0456530 0.434359i −0.947692 0.319185i \(-0.896591\pi\)
0.993345 0.115174i \(-0.0367425\pi\)
\(240\) 14.6941 10.9231i 0.948501 0.705082i
\(241\) −0.173615 1.65184i −0.0111835 0.106404i 0.987506 0.157581i \(-0.0503695\pi\)
−0.998690 + 0.0511766i \(0.983703\pi\)
\(242\) 4.09265 12.5959i 0.263085 0.809694i
\(243\) −9.66422 12.2312i −0.619960 0.784634i
\(244\) 0.145611 0.448144i 0.00932177 0.0286895i
\(245\) 11.4325 + 8.62653i 0.730395 + 0.551129i
\(246\) 3.06667 + 22.7935i 0.195523 + 1.45326i
\(247\) −4.98369 + 5.53494i −0.317104 + 0.352180i
\(248\) −0.938365 + 8.92795i −0.0595863 + 0.566925i
\(249\) 14.5303 17.1109i 0.920821 1.08436i
\(250\) 0.887172 + 17.5771i 0.0561097 + 1.11167i
\(251\) 5.37024 0.338967 0.169483 0.985533i \(-0.445790\pi\)
0.169483 + 0.985533i \(0.445790\pi\)
\(252\) −0.607621 0.924125i −0.0382765 0.0582144i
\(253\) −2.22726 6.85481i −0.140027 0.430958i
\(254\) −7.72451 1.64190i −0.484679 0.103022i
\(255\) −28.7425 + 6.43829i −1.79992 + 0.403181i
\(256\) −10.6300 + 2.25947i −0.664374 + 0.141217i
\(257\) 3.59242 + 6.22225i 0.224089 + 0.388133i 0.956046 0.293218i \(-0.0947261\pi\)
−0.731957 + 0.681351i \(0.761393\pi\)
\(258\) −16.6026 + 0.481919i −1.03363 + 0.0300030i
\(259\) 0.437801 + 4.16540i 0.0272036 + 0.258825i
\(260\) −2.02435 + 2.16805i −0.125545 + 0.134457i
\(261\) 6.40357 0.372062i 0.396371 0.0230301i
\(262\) −16.1823 + 11.7571i −0.999743 + 0.726356i
\(263\) −3.16529 30.1157i −0.195180 1.85701i −0.453888 0.891059i \(-0.649963\pi\)
0.258708 0.965956i \(-0.416703\pi\)
\(264\) −6.48527 + 1.57646i −0.399141 + 0.0970244i
\(265\) 10.7611 + 12.3953i 0.661049 + 0.761438i
\(266\) −2.97664 1.32528i −0.182509 0.0812584i
\(267\) 12.3928 22.9800i 0.758428 1.40636i
\(268\) 0.0840999 0.145665i 0.00513722 0.00889792i
\(269\) −8.19340 + 25.2167i −0.499560 + 1.53749i 0.310167 + 0.950682i \(0.399615\pi\)
−0.809727 + 0.586806i \(0.800385\pi\)
\(270\) −17.1815 6.27019i −1.04563 0.381592i
\(271\) −0.734742 2.26130i −0.0446324 0.137364i 0.926257 0.376892i \(-0.123007\pi\)
−0.970889 + 0.239528i \(0.923007\pi\)
\(272\) 35.1674 + 7.47506i 2.13234 + 0.453242i
\(273\) −2.56029 2.68269i −0.154956 0.162364i
\(274\) 0.0936753 + 0.162250i 0.00565913 + 0.00980190i
\(275\) 2.75999 7.55277i 0.166434 0.455449i
\(276\) −2.40135 + 2.82783i −0.144544 + 0.170216i
\(277\) 23.5327 10.4774i 1.41394 0.629528i 0.449371 0.893345i \(-0.351648\pi\)
0.964573 + 0.263817i \(0.0849816\pi\)
\(278\) −4.69189 14.4402i −0.281401 0.866063i
\(279\) 9.98608 5.15978i 0.597851 0.308908i
\(280\) 3.74435 + 1.74895i 0.223768 + 0.104520i
\(281\) −3.72931 4.14182i −0.222472 0.247080i 0.621568 0.783360i \(-0.286496\pi\)
−0.844040 + 0.536280i \(0.819829\pi\)
\(282\) −8.98858 25.1558i −0.535262 1.49801i
\(283\) 32.5447 6.91758i 1.93458 0.411208i 0.936397 0.350943i \(-0.114139\pi\)
0.998182 0.0602644i \(-0.0191944\pi\)
\(284\) 2.98280 + 1.32803i 0.176997 + 0.0788039i
\(285\) −10.1414 + 2.27167i −0.600727 + 0.134562i
\(286\) 6.41924 2.85803i 0.379578 0.168999i
\(287\) −5.26411 + 3.82460i −0.310731 + 0.225759i
\(288\) 5.65280 + 5.58897i 0.333094 + 0.329333i
\(289\) −33.0392 24.0044i −1.94348 1.41202i
\(290\) 6.16768 4.31275i 0.362179 0.253253i
\(291\) 0.573488 7.56120i 0.0336185 0.443245i
\(292\) 4.53415 0.963764i 0.265341 0.0564000i
\(293\) −3.99713 6.92322i −0.233515 0.404459i 0.725325 0.688406i \(-0.241689\pi\)
−0.958840 + 0.283947i \(0.908356\pi\)
\(294\) −8.28910 + 15.3705i −0.483430 + 0.896426i
\(295\) −16.4412 0.297560i −0.957245 0.0173246i
\(296\) −4.02011 12.3726i −0.233664 0.719144i
\(297\) 6.11052 + 5.70056i 0.354568 + 0.330780i
\(298\) 23.2445 + 16.8881i 1.34652 + 0.978302i
\(299\) −6.21956 + 10.7726i −0.359687 + 0.622996i
\(300\) −4.05460 + 0.831475i −0.234093 + 0.0480052i
\(301\) −2.34958 4.06960i −0.135428 0.234568i
\(302\) −0.238274 + 2.26702i −0.0137111 + 0.130452i
\(303\) −26.5693 10.9171i −1.52637 0.627172i
\(304\) 12.4084 + 2.63748i 0.711670 + 0.151270i
\(305\) 1.50458 1.61139i 0.0861521 0.0922677i
\(306\) −13.0609 33.4559i −0.746642 1.91254i
\(307\) −5.37498 −0.306767 −0.153383 0.988167i \(-0.549017\pi\)
−0.153383 + 0.988167i \(0.549017\pi\)
\(308\) 0.396730 + 0.440613i 0.0226058 + 0.0251063i
\(309\) 12.1091 + 8.27187i 0.688865 + 0.470570i
\(310\) 6.79972 11.3002i 0.386198 0.641807i
\(311\) −1.33947 + 12.7442i −0.0759541 + 0.722655i 0.888584 + 0.458713i \(0.151689\pi\)
−0.964539 + 0.263942i \(0.914977\pi\)
\(312\) 9.51116 + 6.49717i 0.538463 + 0.367830i
\(313\) 3.61750 + 34.4182i 0.204473 + 1.94543i 0.309350 + 0.950948i \(0.399889\pi\)
−0.104876 + 0.994485i \(0.533445\pi\)
\(314\) −4.75661 3.45588i −0.268431 0.195026i
\(315\) −0.745944 5.12050i −0.0420292 0.288508i
\(316\) 2.14516 1.55855i 0.120675 0.0876753i
\(317\) −5.48753 6.09452i −0.308210 0.342302i 0.569062 0.822294i \(-0.307306\pi\)
−0.877273 + 0.479992i \(0.840640\pi\)
\(318\) −12.9554 + 15.2563i −0.726504 + 0.855533i
\(319\) −3.36350 + 0.714934i −0.188320 + 0.0400286i
\(320\) −11.5104 2.66518i −0.643450 0.148988i
\(321\) 4.11778 + 30.6060i 0.229832 + 1.70826i
\(322\) −5.32292 1.13142i −0.296635 0.0630517i
\(323\) −16.5102 11.9953i −0.918651 0.667439i
\(324\) 0.846474 4.21724i 0.0470263 0.234291i
\(325\) −12.8741 + 5.18221i −0.714125 + 0.287457i
\(326\) 16.3423 28.3058i 0.905119 1.56771i
\(327\) −10.9316 11.4542i −0.604519 0.633420i
\(328\) 13.5236 15.0194i 0.746714 0.829310i
\(329\) 5.05711 5.61649i 0.278808 0.309647i
\(330\) 9.61236 + 1.93369i 0.529143 + 0.106446i
\(331\) 2.87992 + 3.19847i 0.158295 + 0.175804i 0.817075 0.576531i \(-0.195594\pi\)
−0.658781 + 0.752335i \(0.728927\pi\)
\(332\) 6.19413 0.339947
\(333\) −10.1790 + 12.7170i −0.557807 + 0.696887i
\(334\) −8.97812 + 6.52298i −0.491261 + 0.356922i
\(335\) 0.644922 0.450962i 0.0352359 0.0246387i
\(336\) −1.77669 + 6.06113i −0.0969263 + 0.330662i
\(337\) 18.5845 + 8.27435i 1.01236 + 0.450733i 0.844773 0.535124i \(-0.179735\pi\)
0.167589 + 0.985857i \(0.446402\pi\)
\(338\) 7.61608 + 3.39090i 0.414260 + 0.184441i
\(339\) −5.51389 + 18.8105i −0.299473 + 1.02165i
\(340\) −6.48777 4.89543i −0.351849 0.265492i
\(341\) −4.87495 + 3.54186i −0.263993 + 0.191802i
\(342\) −4.60838 11.8045i −0.249193 0.638314i
\(343\) −10.3403 −0.558323
\(344\) 9.76664 + 10.8469i 0.526582 + 0.584828i
\(345\) −15.7786 + 7.23259i −0.849490 + 0.389389i
\(346\) 27.3249 30.3474i 1.46900 1.63148i
\(347\) −6.14397 + 6.82357i −0.329826 + 0.366309i −0.885134 0.465336i \(-0.845934\pi\)
0.555308 + 0.831645i \(0.312600\pi\)
\(348\) 1.22198 + 1.28040i 0.0655050 + 0.0686366i
\(349\) 5.10919 8.84938i 0.273489 0.473696i −0.696264 0.717786i \(-0.745156\pi\)
0.969753 + 0.244089i \(0.0784891\pi\)
\(350\) −3.89656 4.65589i −0.208280 0.248868i
\(351\) 0.254746 14.4201i 0.0135973 0.769689i
\(352\) −3.44761 2.50483i −0.183758 0.133508i
\(353\) 14.2823 + 3.03581i 0.760172 + 0.161580i 0.571659 0.820491i \(-0.306300\pi\)
0.188513 + 0.982071i \(0.439633\pi\)
\(354\) −2.67353 19.8715i −0.142097 1.05616i
\(355\) 10.0147 + 11.5356i 0.531524 + 0.612243i
\(356\) 7.04680 1.49784i 0.373479 0.0793855i
\(357\) 6.57708 7.74519i 0.348096 0.409919i
\(358\) −3.23756 3.59568i −0.171111 0.190038i
\(359\) 7.93969 5.76852i 0.419041 0.304451i −0.358211 0.933641i \(-0.616613\pi\)
0.777252 + 0.629190i \(0.216613\pi\)
\(360\) 5.57311 + 15.0754i 0.293729 + 0.794545i
\(361\) 9.54591 + 6.93551i 0.502416 + 0.365027i
\(362\) 0.613571 + 5.83774i 0.0322486 + 0.306825i
\(363\) 12.0331 + 8.21991i 0.631573 + 0.431434i
\(364\) 0.106959 1.01765i 0.00560620 0.0533394i
\(365\) 21.1287 + 4.89226i 1.10593 + 0.256073i
\(366\) 2.21969 + 1.51629i 0.116025 + 0.0792577i
\(367\) −3.32305 3.69062i −0.173462 0.192649i 0.650145 0.759810i \(-0.274708\pi\)
−0.823607 + 0.567162i \(0.808041\pi\)
\(368\) 21.1866 1.10443
\(369\) −25.0164 3.81676i −1.30230 0.198693i
\(370\) −2.34136 + 18.9680i −0.121722 + 0.986099i
\(371\) −5.53886 1.17732i −0.287564 0.0611235i
\(372\) 2.86883 + 1.17878i 0.148742 + 0.0611169i
\(373\) 1.46990 13.9852i 0.0761088 0.724127i −0.888220 0.459419i \(-0.848058\pi\)
0.964329 0.264708i \(-0.0852756\pi\)
\(374\) 9.62672 + 16.6740i 0.497786 + 0.862190i
\(375\) −18.8340 4.50353i −0.972582 0.232561i
\(376\) −11.7375 + 20.3299i −0.605314 + 1.04843i
\(377\) 4.80115 + 3.48824i 0.247272 + 0.179653i
\(378\) 6.03416 1.84344i 0.310364 0.0948162i
\(379\) 1.12763 + 3.47050i 0.0579226 + 0.178267i 0.975832 0.218523i \(-0.0701239\pi\)
−0.917909 + 0.396791i \(0.870124\pi\)
\(380\) −2.28913 1.72729i −0.117430 0.0886083i
\(381\) 4.12446 7.64801i 0.211303 0.391819i
\(382\) −4.37504 7.57779i −0.223847 0.387714i
\(383\) −3.03320 + 0.644726i −0.154989 + 0.0329439i −0.284753 0.958601i \(-0.591911\pi\)
0.129764 + 0.991545i \(0.458578\pi\)
\(384\) 1.78373 23.5177i 0.0910255 1.20013i
\(385\) 0.809332 + 2.65331i 0.0412474 + 0.135225i
\(386\) −25.8917 18.8114i −1.31785 0.957477i
\(387\) 4.62982 17.6796i 0.235347 0.898705i
\(388\) 1.69276 1.22986i 0.0859370 0.0624369i
\(389\) −11.7068 + 5.21221i −0.593559 + 0.264269i −0.681455 0.731860i \(-0.738652\pi\)
0.0878960 + 0.996130i \(0.471986\pi\)
\(390\) −8.62042 14.5614i −0.436512 0.737344i
\(391\) −31.1368 13.8630i −1.57466 0.701083i
\(392\) 15.0107 3.19063i 0.758156 0.161151i
\(393\) −7.40557 20.7255i −0.373562 1.04547i
\(394\) 8.51853 + 9.46078i 0.429157 + 0.476627i
\(395\) 12.1794 2.35930i 0.612811 0.118709i
\(396\) −0.107606 + 2.30338i −0.00540741 + 0.115749i
\(397\) 7.29412 + 22.4490i 0.366081 + 1.12668i 0.949301 + 0.314368i \(0.101793\pi\)
−0.583220 + 0.812314i \(0.698207\pi\)
\(398\) −17.0857 + 7.60703i −0.856428 + 0.381306i
\(399\) 2.32064 2.73280i 0.116178 0.136811i
\(400\) 18.6076 + 14.5765i 0.930382 + 0.728823i
\(401\) 10.2360 + 17.7293i 0.511163 + 0.885361i 0.999916 + 0.0129388i \(0.00411865\pi\)
−0.488753 + 0.872422i \(0.662548\pi\)
\(402\) 0.662483 + 0.694155i 0.0330417 + 0.0346213i
\(403\) 10.1723 + 2.16218i 0.506716 + 0.107706i
\(404\) −2.44930 7.53816i −0.121857 0.375038i
\(405\) 11.9384 16.2010i 0.593226 0.805036i
\(406\) −0.802280 + 2.46916i −0.0398165 + 0.122543i
\(407\) 4.36617 7.56242i 0.216423 0.374855i
\(408\) −14.9808 + 27.7789i −0.741659 + 1.37526i
\(409\) −23.1539 10.3088i −1.14489 0.509736i −0.255462 0.966819i \(-0.582228\pi\)
−0.889424 + 0.457083i \(0.848894\pi\)
\(410\) −27.3385 + 11.5838i −1.35015 + 0.572082i
\(411\) −0.200311 + 0.0486922i −0.00988062 + 0.00240181i
\(412\) 0.422972 + 4.02431i 0.0208383 + 0.198263i
\(413\) 4.58928 3.33431i 0.225824 0.164070i
\(414\) −11.6274 17.6840i −0.571455 0.869122i
\(415\) 26.2572 + 12.2645i 1.28891 + 0.602040i
\(416\) 0.768767 + 7.31433i 0.0376919 + 0.358615i
\(417\) 16.6993 0.484726i 0.817769 0.0237371i
\(418\) 3.39667 + 5.88321i 0.166137 + 0.287757i
\(419\) 26.6189 5.65802i 1.30042 0.276413i 0.494883 0.868960i \(-0.335211\pi\)
0.805536 + 0.592547i \(0.201878\pi\)
\(420\) 0.943755 1.07145i 0.0460506 0.0522815i
\(421\) 17.0505 + 3.62419i 0.830989 + 0.176632i 0.603716 0.797199i \(-0.293686\pi\)
0.227272 + 0.973831i \(0.427019\pi\)
\(422\) 2.16732 + 6.67034i 0.105504 + 0.324707i
\(423\) 29.3437 1.70494i 1.42674 0.0828968i
\(424\) 17.5885 0.854174
\(425\) −17.8089 33.5978i −0.863857 1.62973i
\(426\) −12.0568 + 14.1981i −0.584155 + 0.687902i
\(427\) −0.0794967 + 0.756360i −0.00384711 + 0.0366028i
\(428\) −5.70185 + 6.33254i −0.275609 + 0.306095i
\(429\) 1.03093 + 7.66257i 0.0497739 + 0.369952i
\(430\) −6.25611 20.5100i −0.301697 0.989080i
\(431\) −8.56753 + 26.3681i −0.412683 + 1.27011i 0.501623 + 0.865086i \(0.332736\pi\)
−0.914307 + 0.405023i \(0.867264\pi\)
\(432\) −21.4871 + 11.9046i −1.03380 + 0.572759i
\(433\) 1.83521 5.64819i 0.0881945 0.271435i −0.897226 0.441572i \(-0.854421\pi\)
0.985420 + 0.170137i \(0.0544210\pi\)
\(434\) 0.475558 + 4.52463i 0.0228275 + 0.217189i
\(435\) 2.64481 + 7.84720i 0.126809 + 0.376244i
\(436\) 0.456681 4.34503i 0.0218711 0.208089i
\(437\) −10.9863 4.89140i −0.525544 0.233987i
\(438\) −1.99996 + 26.3687i −0.0955619 + 1.25994i
\(439\) −23.8614 + 10.6238i −1.13884 + 0.507045i −0.887479 0.460848i \(-0.847545\pi\)
−0.251362 + 0.967893i \(0.580879\pi\)
\(440\) −4.17240 7.53864i −0.198911 0.359390i
\(441\) −13.6639 13.5097i −0.650663 0.643317i
\(442\) 10.2681 31.6020i 0.488405 1.50316i
\(443\) 18.5538 32.1362i 0.881519 1.52684i 0.0318670 0.999492i \(-0.489855\pi\)
0.849652 0.527344i \(-0.176812\pi\)
\(444\) −4.49279 + 0.130411i −0.213219 + 0.00618903i
\(445\) 32.8374 + 7.60336i 1.55664 + 0.360434i
\(446\) 11.5347 12.8106i 0.546185 0.606600i
\(447\) −25.0263 + 19.3165i −1.18370 + 0.913638i
\(448\) 3.72342 1.65777i 0.175915 0.0783225i
\(449\) −8.47234 −0.399835 −0.199917 0.979813i \(-0.564067\pi\)
−0.199917 + 0.979813i \(0.564067\pi\)
\(450\) 1.95463 23.5311i 0.0921422 1.10927i
\(451\) 13.5661 0.638803
\(452\) −4.94120 + 2.19996i −0.232414 + 0.103478i
\(453\) −2.31996 0.953255i −0.109001 0.0447878i
\(454\) −24.1741 + 26.8481i −1.13455 + 1.26004i
\(455\) 2.46837 4.10208i 0.115719 0.192308i
\(456\) −5.28578 + 9.80145i −0.247530 + 0.458995i
\(457\) 3.21713 5.57224i 0.150491 0.260658i −0.780917 0.624635i \(-0.785248\pi\)
0.931408 + 0.363977i \(0.118581\pi\)
\(458\) −0.0276474 + 0.0850900i −0.00129188 + 0.00397599i
\(459\) 39.3680 3.43589i 1.83754 0.160374i
\(460\) −4.33938 2.02689i −0.202325 0.0945041i
\(461\) −23.3633 + 10.4020i −1.08814 + 0.484470i −0.870806 0.491627i \(-0.836402\pi\)
−0.217333 + 0.976098i \(0.569736\pi\)
\(462\) −3.04877 + 1.46482i −0.141841 + 0.0681498i
\(463\) −36.8584 16.4104i −1.71295 0.762656i −0.997982 0.0635025i \(-0.979773\pi\)
−0.714972 0.699153i \(-0.753560\pi\)
\(464\) 1.05656 10.0525i 0.0490495 0.466675i
\(465\) 9.82710 + 10.6772i 0.455721 + 0.495145i
\(466\) 1.83023 + 17.4135i 0.0847839 + 0.806665i
\(467\) −0.341659 + 1.05152i −0.0158101 + 0.0486584i −0.958650 0.284587i \(-0.908144\pi\)
0.942840 + 0.333245i \(0.108144\pi\)
\(468\) 3.07846 2.52196i 0.142302 0.116578i
\(469\) −0.0838902 + 0.258187i −0.00387369 + 0.0119220i
\(470\) 28.2628 19.7627i 1.30366 0.911586i
\(471\) 5.12122 3.95280i 0.235974 0.182135i
\(472\) −11.7899 + 13.0940i −0.542675 + 0.602701i
\(473\) −1.02410 + 9.74369i −0.0470883 + 0.448015i
\(474\) 5.08985 + 14.2447i 0.233785 + 0.654279i
\(475\) −6.28365 11.8546i −0.288313 0.543925i
\(476\) 2.80375 0.128510
\(477\) −12.0991 18.4014i −0.553980 0.842543i
\(478\) 3.28443 + 10.1084i 0.150226 + 0.462349i
\(479\) 10.1566 + 2.15886i 0.464068 + 0.0986406i 0.434011 0.900908i \(-0.357098\pi\)
0.0300567 + 0.999548i \(0.490431\pi\)
\(480\) −5.03385 + 8.94306i −0.229763 + 0.408193i
\(481\) −14.7413 + 3.13336i −0.672144 + 0.142869i
\(482\) 1.30728 + 2.26427i 0.0595449 + 0.103135i
\(483\) 2.84215 5.27021i 0.129322 0.239803i
\(484\) 0.420315 + 3.99903i 0.0191052 + 0.181774i
\(485\) 9.61084 1.86174i 0.436406 0.0845375i
\(486\) 21.7288 + 11.4015i 0.985640 + 0.517183i
\(487\) −26.9888 + 19.6085i −1.22298 + 0.888547i −0.996344 0.0854320i \(-0.972773\pi\)
−0.226637 + 0.973979i \(0.572773\pi\)
\(488\) −0.246923 2.34932i −0.0111777 0.106349i
\(489\) 24.8295 + 26.0165i 1.12283 + 1.17651i
\(490\) −21.9637 5.08561i −0.992221 0.229744i
\(491\) 7.88113 + 3.50891i 0.355671 + 0.158355i 0.576791 0.816892i \(-0.304305\pi\)
−0.221120 + 0.975247i \(0.570971\pi\)
\(492\) −3.66535 5.94337i −0.165247 0.267948i
\(493\) −8.13040 + 14.0823i −0.366175 + 0.634234i
\(494\) 3.62298 11.1504i 0.163006 0.501680i
\(495\) −5.01687 + 9.55105i −0.225492 + 0.429288i
\(496\) −5.47352 16.8458i −0.245768 0.756397i
\(497\) −5.15468 1.09566i −0.231219 0.0491471i
\(498\) −9.93987 + 33.9096i −0.445416 + 1.51953i
\(499\) −3.18203 5.51144i −0.142447 0.246726i 0.785970 0.618264i \(-0.212164\pi\)
−0.928418 + 0.371538i \(0.878831\pi\)
\(500\) −2.41666 4.76568i −0.108076 0.213128i
\(501\) −4.10870 11.4988i −0.183563 0.513728i
\(502\) −7.72269 + 3.43836i −0.344681 + 0.153462i
\(503\) 4.37534 + 13.4659i 0.195087 + 0.600415i 0.999976 + 0.00698967i \(0.00222490\pi\)
−0.804889 + 0.593426i \(0.797775\pi\)
\(504\) −4.66713 2.99334i −0.207890 0.133334i
\(505\) 4.54302 36.8042i 0.202162 1.63777i
\(506\) 7.59180 + 8.43154i 0.337497 + 0.374828i
\(507\) −5.93765 + 6.99219i −0.263700 + 0.310534i
\(508\) 2.34525 0.498499i 0.104054 0.0221173i
\(509\) −17.0623 7.59662i −0.756273 0.336714i −0.00787891 0.999969i \(-0.502508\pi\)
−0.748394 + 0.663255i \(0.769175\pi\)
\(510\) 37.2110 27.6613i 1.64773 1.22486i
\(511\) −6.83479 + 3.04305i −0.302353 + 0.134616i
\(512\) −8.19288 + 5.95248i −0.362078 + 0.263065i
\(513\) 13.8905 1.21231i 0.613282 0.0535249i
\(514\) −9.14995 6.64783i −0.403587 0.293223i
\(515\) −6.17520 + 17.8967i −0.272112 + 0.788623i
\(516\) 4.54544 2.18392i 0.200102 0.0961419i
\(517\) −15.4129 + 3.27611i −0.677858 + 0.144083i
\(518\) −3.29653 5.70975i −0.144841 0.250872i
\(519\) 23.5860 + 38.2447i 1.03531 + 1.67876i
\(520\) −4.85033 + 14.0570i −0.212701 + 0.616441i
\(521\) −9.68709 29.8138i −0.424399 1.30617i −0.903568 0.428444i \(-0.859062\pi\)
0.479169 0.877723i \(-0.340938\pi\)
\(522\) −8.97045 + 4.63501i −0.392626 + 0.202869i
\(523\) 10.5571 + 7.67018i 0.461630 + 0.335394i 0.794170 0.607695i \(-0.207906\pi\)
−0.332540 + 0.943089i \(0.607906\pi\)
\(524\) 3.03648 5.25933i 0.132649 0.229755i
\(525\) 6.12211 2.67328i 0.267191 0.116671i
\(526\) 23.8338 + 41.2813i 1.03920 + 1.79995i
\(527\) −2.97853 + 28.3388i −0.129747 + 1.23446i
\(528\) 10.4246 8.04619i 0.453672 0.350165i
\(529\) 2.85139 + 0.606082i 0.123974 + 0.0263514i
\(530\) −23.4113 10.9352i −1.01692 0.474994i
\(531\) 21.8095 + 3.32747i 0.946450 + 0.144400i
\(532\) 0.989268 0.0428902
\(533\) −15.6663 17.3992i −0.678584 0.753643i
\(534\) −3.10826 + 40.9811i −0.134508 + 1.77343i
\(535\) −36.7089 + 15.5541i −1.58706 + 0.672464i
\(536\) 0.0881407 0.838603i 0.00380710 0.0362221i
\(537\) 4.79868 2.30560i 0.207078 0.0994938i
\(538\) −4.36275 41.5088i −0.188092 1.78957i
\(539\) 8.33354 + 6.05467i 0.358951 + 0.260793i
\(540\) 5.53983 0.382629i 0.238396 0.0164657i
\(541\) 0.204818 0.148809i 0.00880580 0.00639779i −0.583374 0.812204i \(-0.698268\pi\)
0.592179 + 0.805806i \(0.298268\pi\)
\(542\) 2.50442 + 2.78145i 0.107574 + 0.119473i
\(543\) −6.35388 1.15898i −0.272671 0.0497364i
\(544\) −19.7115 + 4.18980i −0.845123 + 0.179636i
\(545\) 10.5391 17.5145i 0.451447 0.750240i
\(546\) 5.39946 + 2.21859i 0.231076 + 0.0949471i
\(547\) −19.8577 4.22088i −0.849053 0.180472i −0.237217 0.971457i \(-0.576235\pi\)
−0.611836 + 0.790985i \(0.709569\pi\)
\(548\) −0.0460184 0.0334343i −0.00196581 0.00142824i
\(549\) −2.28804 + 1.87443i −0.0976512 + 0.0799985i
\(550\) 0.866742 + 12.6284i 0.0369580 + 0.538477i
\(551\) −2.86871 + 4.96876i −0.122211 + 0.211676i
\(552\) −5.23158 + 17.8474i −0.222671 + 0.759636i
\(553\) −2.86363 + 3.18038i −0.121774 + 0.135243i
\(554\) −27.1330 + 30.1342i −1.15277 + 1.28028i
\(555\) −19.3033 8.34299i −0.819381 0.354140i
\(556\) 3.08457 + 3.42576i 0.130815 + 0.145285i
\(557\) −38.4393 −1.62873 −0.814363 0.580355i \(-0.802914\pi\)
−0.814363 + 0.580355i \(0.802914\pi\)
\(558\) −11.0569 + 13.8137i −0.468075 + 0.584782i
\(559\) 13.6794 9.93867i 0.578577 0.420361i
\(560\) −8.15279 0.147553i −0.344518 0.00623524i
\(561\) −20.5853 + 5.00395i −0.869114 + 0.211267i
\(562\) 8.01480 + 3.56842i 0.338084 + 0.150525i
\(563\) 29.6856 + 13.2169i 1.25110 + 0.557026i 0.921971 0.387259i \(-0.126578\pi\)
0.329129 + 0.944285i \(0.393245\pi\)
\(564\) 5.59959 + 5.86729i 0.235785 + 0.247058i
\(565\) −25.3019 0.457924i −1.06446 0.0192650i
\(566\) −42.3718 + 30.7849i −1.78102 + 1.29399i
\(567\) 0.0788247 + 6.94194i 0.00331033 + 0.291534i
\(568\) 16.3686 0.686809
\(569\) 2.71580 + 3.01620i 0.113852 + 0.126446i 0.797377 0.603482i \(-0.206220\pi\)
−0.683525 + 0.729928i \(0.739554\pi\)
\(570\) 13.1294 9.75996i 0.549932 0.408800i
\(571\) 19.2328 21.3602i 0.804869 0.893898i −0.191283 0.981535i \(-0.561265\pi\)
0.996152 + 0.0876370i \(0.0279316\pi\)
\(572\) −1.42752 + 1.58543i −0.0596877 + 0.0662900i
\(573\) 9.35539 2.27414i 0.390827 0.0950034i
\(574\) 5.12132 8.87039i 0.213760 0.370243i
\(575\) −14.3816 17.1841i −0.599752 0.716627i
\(576\) 14.8305 + 5.59652i 0.617939 + 0.233188i
\(577\) −22.4106 16.2823i −0.932966 0.677839i 0.0137514 0.999905i \(-0.495623\pi\)
−0.946717 + 0.322066i \(0.895623\pi\)
\(578\) 62.8812 + 13.3658i 2.61551 + 0.555945i
\(579\) 27.8764 21.5163i 1.15851 0.894189i
\(580\) −1.17811 + 1.95784i −0.0489182 + 0.0812951i
\(581\) −9.77886 + 2.07856i −0.405695 + 0.0862332i
\(582\) 4.01644 + 11.2406i 0.166487 + 0.465937i
\(583\) 7.89978 + 8.77360i 0.327176 + 0.363365i
\(584\) 18.8003 13.6593i 0.777964 0.565224i
\(585\) 18.0432 4.59528i 0.745996 0.189992i
\(586\) 10.1808 + 7.39675i 0.420563 + 0.305557i
\(587\) −0.876197 8.33646i −0.0361645 0.344083i −0.997611 0.0690887i \(-0.977991\pi\)
0.961446 0.274994i \(-0.0886758\pi\)
\(588\) 0.400986 5.28683i 0.0165364 0.218025i
\(589\) −1.05094 + 9.99901i −0.0433032 + 0.412002i
\(590\) 23.8339 10.0988i 0.981224 0.415760i
\(591\) −12.6261 + 6.06638i −0.519367 + 0.249537i
\(592\) 17.1756 + 19.0755i 0.705914 + 0.783997i
\(593\) 15.0413 0.617673 0.308836 0.951115i \(-0.400060\pi\)
0.308836 + 0.951115i \(0.400060\pi\)
\(594\) −12.4371 4.28537i −0.510300 0.175831i
\(595\) 11.8852 + 5.55146i 0.487245 + 0.227588i
\(596\) −8.53268 1.81368i −0.349512 0.0742911i
\(597\) −2.74397 20.3950i −0.112303 0.834710i
\(598\) 2.04677 19.4737i 0.0836986 0.796339i
\(599\) 16.3849 + 28.3795i 0.669468 + 1.15955i 0.978053 + 0.208356i \(0.0668113\pi\)
−0.308585 + 0.951197i \(0.599855\pi\)
\(600\) −16.8739 + 12.0756i −0.688872 + 0.492983i
\(601\) −20.6387 + 35.7473i −0.841870 + 1.45816i 0.0464414 + 0.998921i \(0.485212\pi\)
−0.888312 + 0.459241i \(0.848121\pi\)
\(602\) 5.98443 + 4.34795i 0.243907 + 0.177209i
\(603\) −0.937993 + 0.484658i −0.0381980 + 0.0197368i
\(604\) −0.213866 0.658212i −0.00870209 0.0267823i
\(605\) −6.13642 + 17.7843i −0.249481 + 0.723034i
\(606\) 45.1979 1.31195i 1.83604 0.0532941i
\(607\) −3.79877 6.57966i −0.154187 0.267060i 0.778576 0.627551i \(-0.215943\pi\)
−0.932763 + 0.360491i \(0.882609\pi\)
\(608\) −6.95496 + 1.47832i −0.282061 + 0.0599539i
\(609\) −2.35884 1.61135i −0.0955850 0.0652950i
\(610\) −1.13196 + 3.28058i −0.0458316 + 0.132827i
\(611\) 22.0008 + 15.9845i 0.890056 + 0.646663i
\(612\) 7.75408 + 7.66653i 0.313440 + 0.309901i
\(613\) 9.58704 6.96539i 0.387217 0.281330i −0.377097 0.926174i \(-0.623078\pi\)
0.764314 + 0.644844i \(0.223078\pi\)
\(614\) 7.72951 3.44140i 0.311937 0.138884i
\(615\) −3.76958 32.4516i −0.152004 1.30858i
\(616\) 2.71538 + 1.20896i 0.109406 + 0.0487106i
\(617\) −27.6478 + 5.87672i −1.11306 + 0.236588i −0.727508 0.686099i \(-0.759322\pi\)
−0.385550 + 0.922687i \(0.625988\pi\)
\(618\) −22.7097 4.14236i −0.913519 0.166630i
\(619\) −23.8567 26.4956i −0.958883 1.06495i −0.997839 0.0657070i \(-0.979070\pi\)
0.0389555 0.999241i \(-0.487597\pi\)
\(620\) −0.490534 + 3.97395i −0.0197003 + 0.159598i
\(621\) 22.2711 6.80381i 0.893707 0.273028i
\(622\) −6.23338 19.1844i −0.249936 0.769224i
\(623\) −10.6224 + 4.72938i −0.425576 + 0.189479i
\(624\) −22.3581 4.07821i −0.895040 0.163259i
\(625\) −0.808209 24.9869i −0.0323283 0.999477i
\(626\) −27.2388 47.1791i −1.08868 1.88565i
\(627\) −7.26329 + 1.76558i −0.290068 + 0.0705106i
\(628\) 1.74607 + 0.371139i 0.0696759 + 0.0148101i
\(629\) −12.7605 39.2728i −0.508794 1.56591i
\(630\) 4.35117 + 6.88595i 0.173355 + 0.274343i
\(631\) 11.2664 34.6743i 0.448507 1.38036i −0.430085 0.902788i \(-0.641516\pi\)
0.878592 0.477574i \(-0.158484\pi\)
\(632\) 6.64643 11.5120i 0.264381 0.457921i
\(633\) −7.71391 + 0.223909i −0.306601 + 0.00889959i
\(634\) 11.7934 + 5.25078i 0.468377 + 0.208535i
\(635\) 10.9287 + 2.53048i 0.433690 + 0.100419i
\(636\) 1.70935 5.83141i 0.0677802 0.231230i
\(637\) −1.85826 17.6802i −0.0736271 0.700515i
\(638\) 4.37914 3.18163i 0.173372 0.125962i
\(639\) −11.2599 17.1251i −0.445434 0.677457i
\(640\) 29.8927 5.79061i 1.18161 0.228894i
\(641\) 1.36912 + 13.0263i 0.0540770 + 0.514509i 0.987712 + 0.156283i \(0.0499513\pi\)
−0.933635 + 0.358225i \(0.883382\pi\)
\(642\) −25.5174 41.3766i −1.00709 1.63300i
\(643\) −20.9780 36.3350i −0.827291 1.43291i −0.900155 0.435569i \(-0.856547\pi\)
0.0728641 0.997342i \(-0.476786\pi\)
\(644\) 1.61610 0.343513i 0.0636833 0.0135363i
\(645\) 23.5925 0.257690i 0.928955 0.0101465i
\(646\) 31.4227 + 6.67909i 1.23631 + 0.262785i
\(647\) 10.6804 + 32.8710i 0.419892 + 1.29229i 0.907802 + 0.419400i \(0.137760\pi\)
−0.487910 + 0.872894i \(0.662240\pi\)
\(648\) −4.72253 21.0402i −0.185518 0.826535i
\(649\) −11.8270 −0.464250
\(650\) 15.1956 15.6951i 0.596021 0.615611i
\(651\) −4.92468 0.898283i −0.193013 0.0352065i
\(652\) −1.03728 + 9.86909i −0.0406231 + 0.386503i
\(653\) −15.2129 + 16.8957i −0.595327 + 0.661178i −0.963227 0.268687i \(-0.913410\pi\)
0.367900 + 0.929865i \(0.380077\pi\)
\(654\) 23.0539 + 9.47267i 0.901479 + 0.370411i
\(655\) 23.2853 16.2822i 0.909832 0.636200i
\(656\) −12.3228 + 37.9257i −0.481125 + 1.48075i
\(657\) −27.2233 10.2731i −1.06208 0.400791i
\(658\) −3.67636 + 11.3147i −0.143320 + 0.441092i
\(659\) −1.27274 12.1094i −0.0495791 0.471714i −0.990939 0.134310i \(-0.957118\pi\)
0.941360 0.337403i \(-0.109549\pi\)
\(660\) −2.90491 + 0.650696i −0.113073 + 0.0253283i
\(661\) 1.50579 14.3267i 0.0585686 0.557243i −0.925411 0.378964i \(-0.876280\pi\)
0.983980 0.178279i \(-0.0570529\pi\)
\(662\) −6.18933 2.75567i −0.240555 0.107102i
\(663\) 30.1900 + 20.6231i 1.17248 + 0.800935i
\(664\) 28.3679 12.6302i 1.10089 0.490147i
\(665\) 4.19355 + 1.95877i 0.162619 + 0.0759578i
\(666\) 6.49576 24.8050i 0.251706 0.961172i
\(667\) −2.96108 + 9.11326i −0.114653 + 0.352867i
\(668\) 1.68468 2.91794i 0.0651820 0.112899i
\(669\) 9.95642 + 16.1444i 0.384937 + 0.624177i
\(670\) −0.638698 + 1.06143i −0.0246751 + 0.0410064i
\(671\) 1.06099 1.17835i 0.0409593 0.0454899i
\(672\) −0.472055 3.50863i −0.0182099 0.135348i
\(673\) 25.7758 11.4761i 0.993584 0.442372i 0.155454 0.987843i \(-0.450316\pi\)
0.838130 + 0.545471i \(0.183649\pi\)
\(674\) −32.0232 −1.23349
\(675\) 24.2412 + 9.34698i 0.933043 + 0.359765i
\(676\) −2.53116 −0.0973524
\(677\) −25.8990 + 11.5310i −0.995379 + 0.443171i −0.838768 0.544489i \(-0.816724\pi\)
−0.156611 + 0.987660i \(0.550057\pi\)
\(678\) −4.11438 30.5808i −0.158012 1.17445i
\(679\) −2.25971 + 2.50966i −0.0867198 + 0.0963121i
\(680\) −39.6948 9.19115i −1.52222 0.352465i
\(681\) −20.8663 33.8348i −0.799600 1.29655i
\(682\) 4.74271 8.21462i 0.181608 0.314554i
\(683\) −9.22963 + 28.4059i −0.353162 + 1.08692i 0.603905 + 0.797056i \(0.293610\pi\)
−0.957067 + 0.289865i \(0.906390\pi\)
\(684\) 2.73593 + 2.70504i 0.104611 + 0.103430i
\(685\) −0.128873 0.232846i −0.00492399 0.00889661i
\(686\) 14.8699 6.62049i 0.567734 0.252772i
\(687\) −0.0812881 0.0555287i −0.00310133 0.00211855i
\(688\) −26.3094 11.7137i −1.00304 0.446581i
\(689\) 2.12980 20.2637i 0.0811390 0.771986i
\(690\) 18.0597 20.5033i 0.687519 0.780545i
\(691\) −1.37032 13.0378i −0.0521296 0.495980i −0.989172 0.146763i \(-0.953114\pi\)
0.937042 0.349216i \(-0.113552\pi\)
\(692\) −3.83132 + 11.7916i −0.145645 + 0.448249i
\(693\) −0.603062 3.67252i −0.0229084 0.139508i
\(694\) 4.46648 13.7464i 0.169545 0.521806i
\(695\) 6.29255 + 20.6294i 0.238690 + 0.782520i
\(696\) 8.20723 + 3.37228i 0.311094 + 0.127826i
\(697\) 42.9261 47.6743i 1.62594 1.80579i
\(698\) −1.68136 + 15.9971i −0.0636405 + 0.605499i
\(699\) −18.9531 3.45714i −0.716873 0.130761i
\(700\) 1.65572 + 0.810186i 0.0625803 + 0.0306222i
\(701\) 14.2866 0.539598 0.269799 0.962917i \(-0.413043\pi\)
0.269799 + 0.962917i \(0.413043\pi\)
\(702\) 8.86632 + 20.9000i 0.334638 + 0.788819i
\(703\) −4.50239 13.8569i −0.169811 0.522624i
\(704\) −8.31198 1.76677i −0.313269 0.0665875i
\(705\) 12.1196 + 35.9590i 0.456449 + 1.35429i
\(706\) −22.4825 + 4.77879i −0.846139 + 0.179852i
\(707\) 6.39636 + 11.0788i 0.240560 + 0.416662i
\(708\) 3.19547 + 5.18146i 0.120093 + 0.194731i
\(709\) 0.0291420 + 0.277267i 0.00109445 + 0.0104130i 0.995055 0.0993205i \(-0.0316669\pi\)
−0.993961 + 0.109734i \(0.965000\pi\)
\(710\) −21.7874 10.1767i −0.817667 0.381925i
\(711\) −16.6161 + 0.965432i −0.623151 + 0.0362065i
\(712\) 29.2187 21.2287i 1.09502 0.795578i
\(713\) 1.75520 + 16.6996i 0.0657329 + 0.625407i
\(714\) −4.49924 + 15.3490i −0.168380 + 0.574423i
\(715\) −9.19050 + 3.89416i −0.343705 + 0.145633i
\(716\) 1.34201 + 0.597502i 0.0501533 + 0.0223297i
\(717\) −11.6899 + 0.339319i −0.436568 + 0.0126721i
\(718\) −7.72432 + 13.3789i −0.288269 + 0.499297i
\(719\) −3.10941 + 9.56978i −0.115961 + 0.356892i −0.992146 0.125083i \(-0.960080\pi\)
0.876185 + 0.481975i \(0.160080\pi\)
\(720\) −22.1440 22.7010i −0.825258 0.846016i
\(721\) −2.01819 6.21136i −0.0751615 0.231323i
\(722\) −18.1680 3.86174i −0.676145 0.143719i
\(723\) −2.79542 + 0.679520i −0.103963 + 0.0252716i
\(724\) −0.891084 1.54340i −0.0331169 0.0573601i
\(725\) −8.87060 + 5.96671i −0.329446 + 0.221598i
\(726\) −22.5671 4.11634i −0.837543 0.152772i
\(727\) 40.4726 18.0195i 1.50104 0.668308i 0.518626 0.855001i \(-0.326444\pi\)
0.982418 + 0.186693i \(0.0597770\pi\)
\(728\) −1.58520 4.87873i −0.0587513 0.180818i
\(729\) −18.7640 + 19.4143i −0.694962 + 0.719047i
\(730\) −33.5165 + 6.49258i −1.24050 + 0.240301i
\(731\) 31.0009 + 34.4300i 1.14661 + 1.27344i
\(732\) −0.802905 0.146454i −0.0296762 0.00541308i
\(733\) 6.75567 1.43596i 0.249526 0.0530385i −0.0814503 0.996677i \(-0.525955\pi\)
0.330977 + 0.943639i \(0.392622\pi\)
\(734\) 7.14167 + 3.17968i 0.263604 + 0.117364i
\(735\) 12.1678 21.6171i 0.448817 0.797360i
\(736\) −10.8485 + 4.83007i −0.399882 + 0.178039i
\(737\) 0.457904 0.332687i 0.0168671 0.0122547i
\(738\) 38.4187 10.5284i 1.41421 0.387555i
\(739\) 10.3662 + 7.53150i 0.381328 + 0.277051i 0.761892 0.647704i \(-0.224270\pi\)
−0.380565 + 0.924754i \(0.624270\pi\)
\(740\) −1.69295 5.55016i −0.0622341 0.204028i
\(741\) 10.6522 + 7.27661i 0.391318 + 0.267313i
\(742\) 8.71897 1.85327i 0.320083 0.0680358i
\(743\) −12.5689 21.7700i −0.461110 0.798665i 0.537907 0.843004i \(-0.319215\pi\)
−0.999017 + 0.0443390i \(0.985882\pi\)
\(744\) 15.5423 0.451141i 0.569808 0.0165396i
\(745\) −32.5792 24.5831i −1.19361 0.900655i
\(746\) 6.84040 + 21.0526i 0.250445 + 0.770790i
\(747\) −32.7281 20.9907i −1.19746 0.768010i
\(748\) −4.72916 3.43594i −0.172915 0.125630i
\(749\) 6.87667 11.9107i 0.251268 0.435209i
\(750\) 29.9677 5.58236i 1.09426 0.203839i
\(751\) 24.1749 + 41.8721i 0.882153 + 1.52793i 0.848942 + 0.528486i \(0.177240\pi\)
0.0332110 + 0.999448i \(0.489427\pi\)
\(752\) 4.84157 46.0644i 0.176554 1.67980i
\(753\) −1.24027 9.21848i −0.0451978 0.335940i
\(754\) −9.13769 1.94228i −0.332775 0.0707335i
\(755\) 0.396684 3.21365i 0.0144368 0.116957i
\(756\) −1.44601 + 1.25646i −0.0525908 + 0.0456970i
\(757\) 26.5556 0.965178 0.482589 0.875847i \(-0.339696\pi\)
0.482589 + 0.875847i \(0.339696\pi\)
\(758\) −3.84362 4.26877i −0.139607 0.155049i
\(759\) −11.2525 + 5.40642i −0.408439 + 0.196240i
\(760\) −14.0058 3.24299i −0.508044 0.117636i
\(761\) −2.11948 + 20.1656i −0.0768313 + 0.731001i 0.886508 + 0.462714i \(0.153124\pi\)
−0.963339 + 0.268287i \(0.913542\pi\)
\(762\) −1.03446 + 13.6390i −0.0374747 + 0.494088i
\(763\) 0.737084 + 7.01288i 0.0266842 + 0.253883i
\(764\) 2.14926 + 1.56153i 0.0777574 + 0.0564940i
\(765\) 17.6900 + 47.8519i 0.639583 + 1.73009i
\(766\) 3.94910 2.86919i 0.142687 0.103668i
\(767\) 13.6580 + 15.1687i 0.493161 + 0.547710i
\(768\) 6.33358 + 17.7254i 0.228544 + 0.639611i
\(769\) 28.4460 6.04638i 1.02579 0.218038i 0.335857 0.941913i \(-0.390974\pi\)
0.689931 + 0.723875i \(0.257641\pi\)
\(770\) −2.86267 3.29741i −0.103164 0.118830i