Properties

Label 135.2.q.a.2.15
Level $135$
Weight $2$
Character 135.2
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 2.15
Character \(\chi\) \(=\) 135.2
Dual form 135.2.q.a.68.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36466 + 1.94894i) q^{2} +(-1.63096 + 0.583078i) q^{3} +(-1.25203 + 3.43992i) q^{4} +(2.13659 + 0.659531i) q^{5} +(-3.36209 - 2.38294i) q^{6} +(-2.19758 - 1.02475i) q^{7} +(-3.81650 + 1.02263i) q^{8} +(2.32004 - 1.90195i) q^{9} +O(q^{10})\) \(q+(1.36466 + 1.94894i) q^{2} +(-1.63096 + 0.583078i) q^{3} +(-1.25203 + 3.43992i) q^{4} +(2.13659 + 0.659531i) q^{5} +(-3.36209 - 2.38294i) q^{6} +(-2.19758 - 1.02475i) q^{7} +(-3.81650 + 1.02263i) q^{8} +(2.32004 - 1.90195i) q^{9} +(1.63034 + 5.06413i) q^{10} +(0.00275056 - 0.00327799i) q^{11} +(0.0362633 - 6.34039i) q^{12} +(-1.13206 - 0.792678i) q^{13} +(-1.00178 - 5.68139i) q^{14} +(-3.86924 + 0.170132i) q^{15} +(-1.59279 - 1.33651i) q^{16} +(1.90362 + 0.510074i) q^{17} +(6.87287 + 1.92610i) q^{18} +(6.69182 + 3.86352i) q^{19} +(-4.94380 + 6.52394i) q^{20} +(4.18166 + 0.389960i) q^{21} +(0.0101422 + 0.000887327i) q^{22} +(-3.12427 - 6.70002i) q^{23} +(5.62827 - 3.89318i) q^{24} +(4.13004 + 2.81830i) q^{25} -3.28806i q^{26} +(-2.67490 + 4.45476i) q^{27} +(6.27648 - 6.27648i) q^{28} +(1.74110 - 9.87424i) q^{29} +(-5.61180 - 7.30876i) q^{30} +(-5.62932 - 2.04890i) q^{31} +(-0.257571 + 2.94406i) q^{32} +(-0.00257472 + 0.00695004i) q^{33} +(1.60370 + 4.40613i) q^{34} +(-4.01947 - 3.63884i) q^{35} +(3.63779 + 10.3620i) q^{36} +(-0.451272 + 1.68417i) q^{37} +(1.60230 + 18.3144i) q^{38} +(2.30854 + 0.632743i) q^{39} +(-8.82875 - 0.332163i) q^{40} +(-2.95191 + 0.520501i) q^{41} +(4.94656 + 8.68198i) q^{42} +(-7.18901 + 0.628957i) q^{43} +(0.00783223 + 0.0135658i) q^{44} +(6.21137 - 2.53355i) q^{45} +(8.79437 - 15.2323i) q^{46} +(-0.871367 + 1.86865i) q^{47} +(3.37706 + 1.25107i) q^{48} +(-0.720271 - 0.858385i) q^{49} +(0.143417 + 11.8952i) q^{50} +(-3.40214 + 0.278051i) q^{51} +(4.14412 - 2.90174i) q^{52} +(-1.25315 - 1.25315i) q^{53} +(-12.3324 + 0.866025i) q^{54} +(0.00803875 - 0.00518964i) q^{55} +(9.43499 + 1.66364i) q^{56} +(-13.1668 - 2.39939i) q^{57} +(21.6203 - 10.0817i) q^{58} +(-0.763311 + 0.640494i) q^{59} +(4.25916 - 13.5229i) q^{60} +(-6.39745 + 2.32848i) q^{61} +(-3.68893 - 13.7673i) q^{62} +(-7.04749 + 1.80223i) q^{63} +(-9.69063 + 5.59489i) q^{64} +(-1.89595 - 2.44026i) q^{65} +(-0.0170589 + 0.00446650i) q^{66} +(5.21964 - 7.45442i) q^{67} +(-4.13800 + 5.90968i) q^{68} +(9.00219 + 9.10575i) q^{69} +(1.60665 - 12.7995i) q^{70} +(8.32564 - 4.80681i) q^{71} +(-6.90944 + 9.63132i) q^{72} +(0.744204 + 2.77741i) q^{73} +(-3.89819 + 1.41882i) q^{74} +(-8.37920 - 2.18839i) q^{75} +(-21.6685 + 18.1821i) q^{76} +(-0.00940367 + 0.00438501i) q^{77} +(1.91719 + 5.36268i) q^{78} +(-6.95996 - 1.22723i) q^{79} +(-2.52167 - 3.90606i) q^{80} +(1.76518 - 8.82520i) q^{81} +(-5.04279 - 5.04279i) q^{82} +(8.34640 - 5.84421i) q^{83} +(-6.57699 + 13.8963i) q^{84} +(3.73085 + 2.34532i) q^{85} +(-11.0364 - 13.1527i) q^{86} +(2.91780 + 17.1197i) q^{87} +(-0.00714534 + 0.0153232i) q^{88} +(-3.03785 + 5.26171i) q^{89} +(13.4142 + 8.64816i) q^{90} +(1.67550 + 2.90205i) q^{91} +(26.9592 - 2.35862i) q^{92} +(10.3758 + 0.0593438i) q^{93} +(-4.83102 + 0.851839i) q^{94} +(11.7496 + 12.6682i) q^{95} +(-1.29653 - 4.95181i) q^{96} +(1.09824 + 12.5529i) q^{97} +(0.690016 - 2.57517i) q^{98} +(0.000146839 - 0.0128365i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.36466 + 1.94894i 0.964963 + 1.37811i 0.925441 + 0.378892i \(0.123695\pi\)
0.0395221 + 0.999219i \(0.487416\pi\)
\(3\) −1.63096 + 0.583078i −0.941633 + 0.336640i
\(4\) −1.25203 + 3.43992i −0.626014 + 1.71996i
\(5\) 2.13659 + 0.659531i 0.955512 + 0.294951i
\(6\) −3.36209 2.38294i −1.37257 0.972829i
\(7\) −2.19758 1.02475i −0.830607 0.387318i −0.0396673 0.999213i \(-0.512630\pi\)
−0.790939 + 0.611895i \(0.790408\pi\)
\(8\) −3.81650 + 1.02263i −1.34934 + 0.361553i
\(9\) 2.32004 1.90195i 0.773347 0.633983i
\(10\) 1.63034 + 5.06413i 0.515559 + 1.60142i
\(11\) 0.00275056 0.00327799i 0.000829324 0.000988350i −0.765630 0.643282i \(-0.777572\pi\)
0.766459 + 0.642293i \(0.222017\pi\)
\(12\) 0.0362633 6.34039i 0.0104683 1.83031i
\(13\) −1.13206 0.792678i −0.313977 0.219849i 0.405956 0.913893i \(-0.366939\pi\)
−0.719933 + 0.694043i \(0.755828\pi\)
\(14\) −1.00178 5.68139i −0.267738 1.51842i
\(15\) −3.86924 + 0.170132i −0.999035 + 0.0439278i
\(16\) −1.59279 1.33651i −0.398197 0.334127i
\(17\) 1.90362 + 0.510074i 0.461696 + 0.123711i 0.482167 0.876079i \(-0.339850\pi\)
−0.0204707 + 0.999790i \(0.506516\pi\)
\(18\) 6.87287 + 1.92610i 1.61995 + 0.453987i
\(19\) 6.69182 + 3.86352i 1.53521 + 0.886353i 0.999109 + 0.0421981i \(0.0134361\pi\)
0.536099 + 0.844155i \(0.319897\pi\)
\(20\) −4.94380 + 6.52394i −1.10547 + 1.45880i
\(21\) 4.18166 + 0.389960i 0.912514 + 0.0850962i
\(22\) 0.0101422 0.000887327i 0.00216232 0.000189179i
\(23\) −3.12427 6.70002i −0.651456 1.39705i −0.903184 0.429253i \(-0.858777\pi\)
0.251729 0.967798i \(-0.419001\pi\)
\(24\) 5.62827 3.89318i 1.14887 0.794691i
\(25\) 4.13004 + 2.81830i 0.826007 + 0.563659i
\(26\) 3.28806i 0.644842i
\(27\) −2.67490 + 4.45476i −0.514785 + 0.857319i
\(28\) 6.27648 6.27648i 1.18614 1.18614i
\(29\) 1.74110 9.87424i 0.323313 1.83360i −0.197959 0.980210i \(-0.563431\pi\)
0.521272 0.853391i \(-0.325458\pi\)
\(30\) −5.61180 7.30876i −1.02457 1.33439i
\(31\) −5.62932 2.04890i −1.01106 0.367994i −0.217217 0.976123i \(-0.569698\pi\)
−0.793838 + 0.608129i \(0.791920\pi\)
\(32\) −0.257571 + 2.94406i −0.0455326 + 0.520440i
\(33\) −0.00257472 + 0.00695004i −0.000448201 + 0.00120985i
\(34\) 1.60370 + 4.40613i 0.275032 + 0.755645i
\(35\) −4.01947 3.63884i −0.679415 0.615076i
\(36\) 3.63779 + 10.3620i 0.606299 + 1.72701i
\(37\) −0.451272 + 1.68417i −0.0741887 + 0.276876i −0.993048 0.117709i \(-0.962445\pi\)
0.918859 + 0.394585i \(0.129112\pi\)
\(38\) 1.60230 + 18.3144i 0.259927 + 2.97098i
\(39\) 2.30854 + 0.632743i 0.369661 + 0.101320i
\(40\) −8.82875 0.332163i −1.39595 0.0525196i
\(41\) −2.95191 + 0.520501i −0.461011 + 0.0812887i −0.399330 0.916807i \(-0.630757\pi\)
−0.0616809 + 0.998096i \(0.519646\pi\)
\(42\) 4.94656 + 8.68198i 0.763270 + 1.33966i
\(43\) −7.18901 + 0.628957i −1.09631 + 0.0959151i −0.620932 0.783864i \(-0.713246\pi\)
−0.475382 + 0.879779i \(0.657690\pi\)
\(44\) 0.00783223 + 0.0135658i 0.00118075 + 0.00204512i
\(45\) 6.21137 2.53355i 0.925937 0.377679i
\(46\) 8.79437 15.2323i 1.29666 2.24588i
\(47\) −0.871367 + 1.86865i −0.127102 + 0.272571i −0.959553 0.281527i \(-0.909159\pi\)
0.832451 + 0.554098i \(0.186937\pi\)
\(48\) 3.37706 + 1.25107i 0.487436 + 0.180576i
\(49\) −0.720271 0.858385i −0.102896 0.122626i
\(50\) 0.143417 + 11.8952i 0.0202823 + 1.68224i
\(51\) −3.40214 + 0.278051i −0.476395 + 0.0389350i
\(52\) 4.14412 2.90174i 0.574686 0.402399i
\(53\) −1.25315 1.25315i −0.172134 0.172134i 0.615782 0.787916i \(-0.288840\pi\)
−0.787916 + 0.615782i \(0.788840\pi\)
\(54\) −12.3324 + 0.866025i −1.67823 + 0.117851i
\(55\) 0.00803875 0.00518964i 0.00108394 0.000699770i
\(56\) 9.43499 + 1.66364i 1.26080 + 0.222314i
\(57\) −13.1668 2.39939i −1.74399 0.317807i
\(58\) 21.6203 10.0817i 2.83889 1.32380i
\(59\) −0.763311 + 0.640494i −0.0993747 + 0.0833853i −0.691121 0.722739i \(-0.742883\pi\)
0.591747 + 0.806124i \(0.298439\pi\)
\(60\) 4.25916 13.5229i 0.549855 1.74580i
\(61\) −6.39745 + 2.32848i −0.819109 + 0.298131i −0.717381 0.696681i \(-0.754659\pi\)
−0.101728 + 0.994812i \(0.532437\pi\)
\(62\) −3.68893 13.7673i −0.468495 1.74845i
\(63\) −7.04749 + 1.80223i −0.887900 + 0.227059i
\(64\) −9.69063 + 5.59489i −1.21133 + 0.699361i
\(65\) −1.89595 2.44026i −0.235164 0.302677i
\(66\) −0.0170589 + 0.00446650i −0.00209980 + 0.000549788i
\(67\) 5.21964 7.45442i 0.637680 0.910702i −0.362090 0.932143i \(-0.617937\pi\)
0.999770 + 0.0214414i \(0.00682552\pi\)
\(68\) −4.13800 + 5.90968i −0.501806 + 0.716654i
\(69\) 9.00219 + 9.10575i 1.08374 + 1.09620i
\(70\) 1.60665 12.7995i 0.192032 1.52983i
\(71\) 8.32564 4.80681i 0.988072 0.570464i 0.0833745 0.996518i \(-0.473430\pi\)
0.904697 + 0.426055i \(0.140097\pi\)
\(72\) −6.90944 + 9.63132i −0.814286 + 1.13506i
\(73\) 0.744204 + 2.77741i 0.0871025 + 0.325071i 0.995704 0.0925931i \(-0.0295156\pi\)
−0.908602 + 0.417664i \(0.862849\pi\)
\(74\) −3.89819 + 1.41882i −0.453155 + 0.164935i
\(75\) −8.37920 2.18839i −0.967546 0.252693i
\(76\) −21.6685 + 18.1821i −2.48555 + 2.08563i
\(77\) −0.00940367 + 0.00438501i −0.00107165 + 0.000499718i
\(78\) 1.91719 + 5.36268i 0.217080 + 0.607204i
\(79\) −6.95996 1.22723i −0.783057 0.138074i −0.232194 0.972670i \(-0.574590\pi\)
−0.550863 + 0.834595i \(0.685701\pi\)
\(80\) −2.52167 3.90606i −0.281931 0.436711i
\(81\) 1.76518 8.82520i 0.196131 0.980578i
\(82\) −5.04279 5.04279i −0.556883 0.556883i
\(83\) 8.34640 5.84421i 0.916136 0.641485i −0.0174466 0.999848i \(-0.505554\pi\)
0.933582 + 0.358363i \(0.116665\pi\)
\(84\) −6.57699 + 13.8963i −0.717608 + 1.51621i
\(85\) 3.73085 + 2.34532i 0.404668 + 0.254385i
\(86\) −11.0364 13.1527i −1.19008 1.41829i
\(87\) 2.91780 + 17.1197i 0.312821 + 1.83542i
\(88\) −0.00714534 + 0.0153232i −0.000761696 + 0.00163346i
\(89\) −3.03785 + 5.26171i −0.322012 + 0.557741i −0.980903 0.194498i \(-0.937692\pi\)
0.658891 + 0.752238i \(0.271026\pi\)
\(90\) 13.4142 + 8.64816i 1.41398 + 0.911596i
\(91\) 1.67550 + 2.90205i 0.175640 + 0.304217i
\(92\) 26.9592 2.35862i 2.81069 0.245904i
\(93\) 10.3758 + 0.0593438i 1.07593 + 0.00615366i
\(94\) −4.83102 + 0.851839i −0.498281 + 0.0878604i
\(95\) 11.7496 + 12.6682i 1.20548 + 1.29973i
\(96\) −1.29653 4.95181i −0.132326 0.505392i
\(97\) 1.09824 + 12.5529i 0.111509 + 1.27456i 0.821444 + 0.570289i \(0.193169\pi\)
−0.709935 + 0.704267i \(0.751276\pi\)
\(98\) 0.690016 2.57517i 0.0697021 0.260132i
\(99\) 0.000146839 0.0128365i 1.47579e−5 0.00129012i
\(100\) −14.8656 + 10.6784i −1.48656 + 1.06784i
\(101\) −1.67645 4.60600i −0.166813 0.458314i 0.827916 0.560852i \(-0.189526\pi\)
−0.994729 + 0.102537i \(0.967304\pi\)
\(102\) −5.18468 6.25113i −0.513360 0.618954i
\(103\) −1.01013 + 11.5458i −0.0995307 + 1.13764i 0.768066 + 0.640371i \(0.221219\pi\)
−0.867596 + 0.497269i \(0.834336\pi\)
\(104\) 5.13112 + 1.86758i 0.503148 + 0.183131i
\(105\) 8.67731 + 3.59112i 0.846819 + 0.350458i
\(106\) 0.732191 4.15246i 0.0711167 0.403323i
\(107\) 3.31844 3.31844i 0.320806 0.320806i −0.528270 0.849076i \(-0.677159\pi\)
0.849076 + 0.528270i \(0.177159\pi\)
\(108\) −11.9750 14.7789i −1.15229 1.42210i
\(109\) 11.2538i 1.07792i 0.842332 + 0.538960i \(0.181182\pi\)
−0.842332 + 0.538960i \(0.818818\pi\)
\(110\) 0.0210845 + 0.00858495i 0.00201033 + 0.000818543i
\(111\) −0.245997 3.00994i −0.0233490 0.285691i
\(112\) 2.13069 + 4.56928i 0.201331 + 0.431757i
\(113\) 1.87764 + 0.164272i 0.176634 + 0.0154535i 0.175129 0.984545i \(-0.443966\pi\)
0.00150433 + 0.999999i \(0.499521\pi\)
\(114\) −13.2920 28.9357i −1.24491 2.71008i
\(115\) −2.25642 16.3758i −0.210412 1.52705i
\(116\) 31.7867 + 18.3520i 2.95132 + 1.70394i
\(117\) −4.13406 + 0.314079i −0.382194 + 0.0290366i
\(118\) −2.28995 0.613590i −0.210807 0.0564856i
\(119\) −3.66066 3.07166i −0.335572 0.281579i
\(120\) 14.5930 4.60610i 1.33215 0.420478i
\(121\) 1.91013 + 10.8329i 0.173648 + 0.984806i
\(122\) −13.2684 9.29066i −1.20127 0.841137i
\(123\) 4.51095 2.57011i 0.406738 0.231739i
\(124\) 14.0961 16.7991i 1.26587 1.50860i
\(125\) 6.96544 + 8.74543i 0.623008 + 0.782215i
\(126\) −13.1299 11.2757i −1.16970 1.00452i
\(127\) −5.69522 + 1.52603i −0.505369 + 0.135413i −0.502491 0.864583i \(-0.667583\pi\)
−0.00287859 + 0.999996i \(0.500916\pi\)
\(128\) −18.7718 8.75341i −1.65920 0.773700i
\(129\) 11.3582 5.21756i 1.00004 0.459380i
\(130\) 2.16858 7.02524i 0.190197 0.616154i
\(131\) −5.29212 + 14.5400i −0.462375 + 1.27036i 0.461320 + 0.887234i \(0.347376\pi\)
−0.923694 + 0.383130i \(0.874846\pi\)
\(132\) −0.0206840 0.0175585i −0.00180031 0.00152827i
\(133\) −10.7467 15.3478i −0.931854 1.33082i
\(134\) 21.6513 1.87039
\(135\) −8.65322 + 7.75382i −0.744751 + 0.667343i
\(136\) −7.78679 −0.667712
\(137\) −2.24127 3.20087i −0.191485 0.273468i 0.711917 0.702263i \(-0.247827\pi\)
−0.903402 + 0.428795i \(0.858938\pi\)
\(138\) −5.46163 + 29.9710i −0.464924 + 2.55130i
\(139\) 1.85959 5.10917i 0.157728 0.433354i −0.835506 0.549481i \(-0.814826\pi\)
0.993234 + 0.116126i \(0.0370478\pi\)
\(140\) 17.5498 9.27073i 1.48323 0.783519i
\(141\) 0.331592 3.55577i 0.0279251 0.299449i
\(142\) 20.7299 + 9.66651i 1.73961 + 0.811196i
\(143\) −0.00571218 + 0.00153058i −0.000477677 + 0.000127993i
\(144\) −6.23730 0.0713498i −0.519775 0.00594581i
\(145\) 10.2324 19.9489i 0.849753 1.65667i
\(146\) −4.39742 + 5.24064i −0.363933 + 0.433718i
\(147\) 1.67524 + 0.980015i 0.138171 + 0.0808303i
\(148\) −5.22840 3.66097i −0.429772 0.300930i
\(149\) −1.59684 9.05612i −0.130818 0.741907i −0.977681 0.210095i \(-0.932623\pi\)
0.846863 0.531811i \(-0.178488\pi\)
\(150\) −7.16975 19.3170i −0.585408 1.57723i
\(151\) 8.68937 + 7.29124i 0.707131 + 0.593353i 0.923792 0.382894i \(-0.125072\pi\)
−0.216662 + 0.976247i \(0.569517\pi\)
\(152\) −29.4903 7.90189i −2.39198 0.640928i
\(153\) 5.38662 2.43720i 0.435482 0.197036i
\(154\) −0.0213790 0.0123432i −0.00172277 0.000994640i
\(155\) −10.6762 8.09038i −0.857536 0.649835i
\(156\) −5.06693 + 7.14896i −0.405679 + 0.572375i
\(157\) −0.876549 0.0766881i −0.0699562 0.00612037i 0.0521239 0.998641i \(-0.483401\pi\)
−0.122080 + 0.992520i \(0.538956\pi\)
\(158\) −7.10621 15.2393i −0.565340 1.21238i
\(159\) 2.77453 + 1.31315i 0.220034 + 0.104140i
\(160\) −2.49202 + 6.12036i −0.197012 + 0.483857i
\(161\) 17.9254i 1.41272i
\(162\) 19.6087 8.60321i 1.54060 0.675932i
\(163\) 4.75545 4.75545i 0.372476 0.372476i −0.495902 0.868378i \(-0.665163\pi\)
0.868378 + 0.495902i \(0.165163\pi\)
\(164\) 1.90539 10.8060i 0.148786 0.843808i
\(165\) −0.0100849 + 0.0131513i −0.000785108 + 0.00102383i
\(166\) 22.7800 + 8.29126i 1.76807 + 0.643527i
\(167\) −0.630926 + 7.21152i −0.0488226 + 0.558044i 0.931910 + 0.362689i \(0.118141\pi\)
−0.980733 + 0.195355i \(0.937414\pi\)
\(168\) −16.3581 + 2.78800i −1.26205 + 0.215099i
\(169\) −3.79304 10.4213i −0.291772 0.801637i
\(170\) 0.520470 + 10.4718i 0.0399183 + 0.803149i
\(171\) 22.8735 3.76397i 1.74918 0.287838i
\(172\) 6.83728 25.5171i 0.521338 1.94566i
\(173\) −0.208175 2.37946i −0.0158273 0.180907i −0.999993 0.00365760i \(-0.998836\pi\)
0.984166 0.177249i \(-0.0567198\pi\)
\(174\) −29.3834 + 29.0492i −2.22755 + 2.20221i
\(175\) −6.18804 10.4257i −0.467772 0.788107i
\(176\) −0.00876211 + 0.00154500i −0.000660469 + 0.000116458i
\(177\) 0.871470 1.48969i 0.0655037 0.111972i
\(178\) −14.4004 + 1.25987i −1.07936 + 0.0944315i
\(179\) 8.41245 + 14.5708i 0.628776 + 1.08907i 0.987798 + 0.155743i \(0.0497772\pi\)
−0.359021 + 0.933329i \(0.616889\pi\)
\(180\) 0.938389 + 24.5387i 0.0699434 + 1.82900i
\(181\) 3.54419 6.13871i 0.263437 0.456287i −0.703716 0.710482i \(-0.748477\pi\)
0.967153 + 0.254195i \(0.0818105\pi\)
\(182\) −3.36943 + 7.22577i −0.249759 + 0.535610i
\(183\) 9.07628 7.52786i 0.670938 0.556476i
\(184\) 18.7754 + 22.3757i 1.38414 + 1.64955i
\(185\) −2.07495 + 3.30076i −0.152553 + 0.242676i
\(186\) 14.0439 + 20.3029i 1.02975 + 1.48868i
\(187\) 0.00690804 0.00483706i 0.000505166 0.000353721i
\(188\) −5.33703 5.33703i −0.389243 0.389243i
\(189\) 10.4433 7.04859i 0.759639 0.512709i
\(190\) −8.65544 + 40.1871i −0.627932 + 2.91548i
\(191\) −7.71793 1.36088i −0.558450 0.0984697i −0.112703 0.993629i \(-0.535951\pi\)
−0.445747 + 0.895159i \(0.647062\pi\)
\(192\) 12.5427 14.7754i 0.905195 1.06632i
\(193\) −16.8391 + 7.85219i −1.21210 + 0.565213i −0.920280 0.391259i \(-0.872040\pi\)
−0.291823 + 0.956472i \(0.594262\pi\)
\(194\) −22.9662 + 19.2709i −1.64888 + 1.38357i
\(195\) 4.51508 + 2.87446i 0.323332 + 0.205845i
\(196\) 3.85457 1.40295i 0.275327 0.100211i
\(197\) −1.74344 6.50660i −0.124215 0.463576i 0.875596 0.483045i \(-0.160469\pi\)
−0.999810 + 0.0194688i \(0.993802\pi\)
\(198\) 0.0252180 0.0172313i 0.00179216 0.00122458i
\(199\) −7.81601 + 4.51257i −0.554062 + 0.319888i −0.750759 0.660576i \(-0.770312\pi\)
0.196697 + 0.980464i \(0.436979\pi\)
\(200\) −18.6443 6.53253i −1.31835 0.461920i
\(201\) −4.16650 + 15.2013i −0.293882 + 1.07222i
\(202\) 6.68904 9.55295i 0.470640 0.672143i
\(203\) −13.9448 + 19.9152i −0.978733 + 1.39778i
\(204\) 3.30310 12.0512i 0.231263 0.843753i
\(205\) −6.65031 0.834779i −0.464478 0.0583035i
\(206\) −23.8806 + 13.7874i −1.66384 + 0.960617i
\(207\) −19.9915 9.60211i −1.38951 0.667393i
\(208\) 0.743713 + 2.77557i 0.0515672 + 0.192451i
\(209\) 0.0310708 0.0113089i 0.00214921 0.000782250i
\(210\) 4.84272 + 21.8123i 0.334180 + 1.50519i
\(211\) 4.86924 4.08578i 0.335213 0.281277i −0.459607 0.888122i \(-0.652010\pi\)
0.794820 + 0.606846i \(0.207565\pi\)
\(212\) 5.87973 2.74176i 0.403822 0.188305i
\(213\) −10.7760 + 12.6942i −0.738361 + 0.869792i
\(214\) 10.9960 + 1.93889i 0.751672 + 0.132540i
\(215\) −15.7748 3.39755i −1.07583 0.231711i
\(216\) 5.65319 19.7370i 0.384651 1.34293i
\(217\) 10.2713 + 10.2713i 0.697258 + 0.697258i
\(218\) −21.9330 + 15.3577i −1.48549 + 1.04015i
\(219\) −2.83321 4.09590i −0.191451 0.276775i
\(220\) 0.00778719 + 0.0341502i 0.000525012 + 0.00230241i
\(221\) −1.75069 2.08639i −0.117764 0.140346i
\(222\) 5.53049 4.58699i 0.371182 0.307858i
\(223\) 1.58829 3.40610i 0.106360 0.228089i −0.845924 0.533304i \(-0.820950\pi\)
0.952284 + 0.305214i \(0.0987281\pi\)
\(224\) 3.58295 6.20585i 0.239396 0.414646i
\(225\) 14.9421 1.31656i 0.996141 0.0877708i
\(226\) 2.24219 + 3.88359i 0.149149 + 0.258333i
\(227\) 6.49455 0.568200i 0.431059 0.0377127i 0.130438 0.991456i \(-0.458362\pi\)
0.300621 + 0.953744i \(0.402806\pi\)
\(228\) 24.7389 42.2886i 1.63837 2.80063i
\(229\) 4.26742 0.752462i 0.281999 0.0497241i −0.0308595 0.999524i \(-0.509824\pi\)
0.312859 + 0.949800i \(0.398713\pi\)
\(230\) 28.8362 26.7450i 1.90140 1.76351i
\(231\) 0.0127802 0.0126348i 0.000840875 0.000831311i
\(232\) 3.45279 + 39.4655i 0.226687 + 2.59104i
\(233\) 6.77460 25.2831i 0.443818 1.65635i −0.275219 0.961382i \(-0.588750\pi\)
0.719037 0.694972i \(-0.244583\pi\)
\(234\) −6.25372 7.62843i −0.408819 0.498686i
\(235\) −3.09419 + 3.41785i −0.201843 + 0.222956i
\(236\) −1.24756 3.42764i −0.0812093 0.223121i
\(237\) 12.0670 2.05664i 0.783834 0.133593i
\(238\) 0.990915 11.3262i 0.0642314 0.734169i
\(239\) 17.2215 + 6.26813i 1.11397 + 0.405452i 0.832448 0.554103i \(-0.186939\pi\)
0.281521 + 0.959555i \(0.409161\pi\)
\(240\) 6.39027 + 4.90029i 0.412490 + 0.316312i
\(241\) −1.09892 + 6.23226i −0.0707874 + 0.401455i 0.928740 + 0.370731i \(0.120893\pi\)
−0.999528 + 0.0307248i \(0.990218\pi\)
\(242\) −18.5060 + 18.5060i −1.18961 + 1.18961i
\(243\) 2.26685 + 15.4228i 0.145419 + 0.989370i
\(244\) 24.9220i 1.59547i
\(245\) −0.972792 2.30906i −0.0621494 0.147520i
\(246\) 11.1649 + 5.28424i 0.711849 + 0.336911i
\(247\) −4.51302 9.67820i −0.287156 0.615809i
\(248\) 23.5795 + 2.06294i 1.49730 + 0.130997i
\(249\) −10.2050 + 14.3983i −0.646714 + 0.912452i
\(250\) −7.53885 + 25.5098i −0.476799 + 1.61338i
\(251\) −23.1604 13.3717i −1.46187 0.844013i −0.462775 0.886476i \(-0.653146\pi\)
−0.999098 + 0.0424628i \(0.986480\pi\)
\(252\) 2.62414 26.4992i 0.165305 1.66929i
\(253\) −0.0305561 0.00818747i −0.00192104 0.000514742i
\(254\) −10.7462 9.01714i −0.674277 0.565786i
\(255\) −7.45236 1.64974i −0.466685 0.103310i
\(256\) −4.67107 26.4910i −0.291942 1.65569i
\(257\) −3.21096 2.24834i −0.200294 0.140248i 0.469127 0.883131i \(-0.344569\pi\)
−0.669421 + 0.742883i \(0.733458\pi\)
\(258\) 25.6689 + 15.0163i 1.59808 + 0.934876i
\(259\) 2.71756 3.23866i 0.168861 0.201240i
\(260\) 10.7681 3.46666i 0.667807 0.214993i
\(261\) −14.7409 26.2201i −0.912439 1.62298i
\(262\) −35.5596 + 9.52815i −2.19688 + 0.588651i
\(263\) 27.9551 + 13.0357i 1.72379 + 0.803815i 0.992571 + 0.121669i \(0.0388245\pi\)
0.731216 + 0.682146i \(0.238953\pi\)
\(264\) 0.00271910 0.0291578i 0.000167349 0.00179454i
\(265\) −1.85098 3.50397i −0.113705 0.215247i
\(266\) 15.2464 41.8892i 0.934819 2.56839i
\(267\) 1.88662 10.3529i 0.115459 0.633589i
\(268\) 19.1074 + 27.2883i 1.16717 + 1.66690i
\(269\) −11.5179 −0.702257 −0.351128 0.936327i \(-0.614202\pi\)
−0.351128 + 0.936327i \(0.614202\pi\)
\(270\) −26.9205 6.28327i −1.63833 0.382388i
\(271\) −6.78072 −0.411899 −0.205950 0.978563i \(-0.566028\pi\)
−0.205950 + 0.978563i \(0.566028\pi\)
\(272\) −2.35035 3.35665i −0.142511 0.203527i
\(273\) −4.42478 3.75617i −0.267800 0.227334i
\(274\) 3.17972 8.73621i 0.192094 0.527774i
\(275\) 0.0205982 0.00578632i 0.00124212 0.000348928i
\(276\) −42.5940 + 19.5661i −2.56386 + 1.17774i
\(277\) 9.00402 + 4.19864i 0.540999 + 0.252272i 0.673855 0.738863i \(-0.264637\pi\)
−0.132856 + 0.991135i \(0.542415\pi\)
\(278\) 12.4952 3.34808i 0.749412 0.200804i
\(279\) −16.9572 + 5.95314i −1.01520 + 0.356405i
\(280\) 19.0615 + 9.77719i 1.13914 + 0.584299i
\(281\) −16.7510 + 19.9630i −0.999280 + 1.19090i −0.0177003 + 0.999843i \(0.505634\pi\)
−0.981580 + 0.191052i \(0.938810\pi\)
\(282\) 7.38249 4.20617i 0.439621 0.250474i
\(283\) −6.09224 4.26583i −0.362146 0.253577i 0.378315 0.925677i \(-0.376504\pi\)
−0.740461 + 0.672100i \(0.765393\pi\)
\(284\) 6.11110 + 34.6578i 0.362627 + 2.05656i
\(285\) −26.5496 13.8104i −1.57266 0.818059i
\(286\) −0.0107782 0.00904400i −0.000637329 0.000534783i
\(287\) 7.02044 + 1.88112i 0.414403 + 0.111039i
\(288\) 5.00187 + 7.32021i 0.294738 + 0.431348i
\(289\) −11.3588 6.55802i −0.668166 0.385766i
\(290\) 52.8430 7.28124i 3.10305 0.427569i
\(291\) −9.11051 19.8329i −0.534068 1.16263i
\(292\) −10.4858 0.917390i −0.613636 0.0536862i
\(293\) −3.52271 7.55448i −0.205799 0.441337i 0.776134 0.630568i \(-0.217178\pi\)
−0.981933 + 0.189231i \(0.939400\pi\)
\(294\) 0.376141 + 4.60233i 0.0219370 + 0.268413i
\(295\) −2.05331 + 0.865046i −0.119548 + 0.0503649i
\(296\) 6.88912i 0.400422i
\(297\) 0.00724518 + 0.0210214i 0.000420408 + 0.00121978i
\(298\) 15.4707 15.4707i 0.896194 0.896194i
\(299\) −1.77409 + 10.0614i −0.102598 + 0.581864i
\(300\) 18.0189 26.0838i 1.04032 1.50595i
\(301\) 16.4429 + 5.98474i 0.947755 + 0.344955i
\(302\) −2.35215 + 26.8852i −0.135351 + 1.54707i
\(303\) 5.41987 + 6.53469i 0.311363 + 0.375408i
\(304\) −5.49502 15.0974i −0.315161 0.865897i
\(305\) −15.2044 + 0.755693i −0.870603 + 0.0432709i
\(306\) 12.1009 + 7.17224i 0.691762 + 0.410010i
\(307\) 3.15476 11.7737i 0.180052 0.671962i −0.815584 0.578638i \(-0.803584\pi\)
0.995636 0.0933234i \(-0.0297491\pi\)
\(308\) −0.00331040 0.0378380i −0.000188627 0.00215602i
\(309\) −5.08462 19.4197i −0.289254 1.10475i
\(310\) 1.19821 31.8480i 0.0680540 1.80885i
\(311\) 19.9366 3.51536i 1.13050 0.199338i 0.423054 0.906104i \(-0.360958\pi\)
0.707447 + 0.706767i \(0.249847\pi\)
\(312\) −9.45758 0.0540918i −0.535430 0.00306235i
\(313\) 7.21599 0.631317i 0.407872 0.0356842i 0.118626 0.992939i \(-0.462151\pi\)
0.289246 + 0.957255i \(0.406596\pi\)
\(314\) −1.04673 1.81300i −0.0590706 0.102313i
\(315\) −16.2462 0.797417i −0.915371 0.0449294i
\(316\) 12.9356 22.4052i 0.727686 1.26039i
\(317\) 2.07411 4.44794i 0.116493 0.249821i −0.839412 0.543496i \(-0.817100\pi\)
0.955905 + 0.293675i \(0.0948782\pi\)
\(318\) 1.22704 + 7.19941i 0.0688088 + 0.403723i
\(319\) −0.0275787 0.0328670i −0.00154411 0.00184020i
\(320\) −24.3949 + 5.56271i −1.36372 + 0.310965i
\(321\) −3.47733 + 7.34715i −0.194085 + 0.410078i
\(322\) −34.9356 + 24.4622i −1.94688 + 1.36322i
\(323\) 10.7680 + 10.7680i 0.599148 + 0.599148i
\(324\) 28.1479 + 17.1215i 1.56377 + 0.951192i
\(325\) −2.44145 6.46427i −0.135427 0.358573i
\(326\) 15.7577 + 2.77851i 0.872739 + 0.153887i
\(327\) −6.56185 18.3545i −0.362871 1.01500i
\(328\) 10.7337 5.00520i 0.592668 0.276366i
\(329\) 3.82979 3.21358i 0.211143 0.177170i
\(330\) −0.0393936 0.00170778i −0.00216855 9.40100e-5i
\(331\) −4.66635 + 1.69841i −0.256486 + 0.0933531i −0.467063 0.884224i \(-0.654688\pi\)
0.210577 + 0.977577i \(0.432466\pi\)
\(332\) 9.65368 + 36.0280i 0.529814 + 1.97729i
\(333\) 2.15624 + 4.76564i 0.118161 + 0.261156i
\(334\) −14.9158 + 8.61167i −0.816159 + 0.471209i
\(335\) 16.0686 12.4845i 0.877924 0.682102i
\(336\) −6.13932 6.20995i −0.334927 0.338780i
\(337\) −12.5919 + 17.9831i −0.685925 + 0.979602i 0.313624 + 0.949547i \(0.398457\pi\)
−0.999548 + 0.0300546i \(0.990432\pi\)
\(338\) 15.1343 21.6140i 0.823195 1.17564i
\(339\) −3.15814 + 0.826891i −0.171527 + 0.0449105i
\(340\) −12.7388 + 9.89742i −0.690860 + 0.536763i
\(341\) −0.0222000 + 0.0128172i −0.00120220 + 0.000694090i
\(342\) 38.5504 + 39.4426i 2.08457 + 2.13281i
\(343\) 5.09624 + 19.0194i 0.275171 + 1.02695i
\(344\) 26.7937 9.75210i 1.44462 0.525798i
\(345\) 13.2285 + 25.3925i 0.712196 + 1.36709i
\(346\) 4.35333 3.65288i 0.234037 0.196380i
\(347\) 14.1467 6.59670i 0.759433 0.354129i −0.00402090 0.999992i \(-0.501280\pi\)
0.763454 + 0.645863i \(0.223502\pi\)
\(348\) −62.5434 11.3973i −3.35268 0.610959i
\(349\) 23.5190 + 4.14704i 1.25895 + 0.221986i 0.763017 0.646378i \(-0.223717\pi\)
0.495928 + 0.868364i \(0.334828\pi\)
\(350\) 11.8744 26.2877i 0.634715 1.40513i
\(351\) 6.55934 2.92273i 0.350112 0.156004i
\(352\) 0.00894211 + 0.00894211i 0.000476616 + 0.000476616i
\(353\) 0.263489 0.184497i 0.0140241 0.00981980i −0.566543 0.824032i \(-0.691720\pi\)
0.580567 + 0.814212i \(0.302831\pi\)
\(354\) 4.09258 0.334480i 0.217518 0.0177774i
\(355\) 20.9587 4.77917i 1.11237 0.253652i
\(356\) −14.2964 17.0378i −0.757707 0.903000i
\(357\) 7.76140 + 2.87529i 0.410777 + 0.152177i
\(358\) −16.9175 + 36.2796i −0.894116 + 1.91744i
\(359\) −2.09252 + 3.62435i −0.110439 + 0.191286i −0.915947 0.401298i \(-0.868559\pi\)
0.805508 + 0.592585i \(0.201892\pi\)
\(360\) −21.1148 + 16.0212i −1.11285 + 0.844391i
\(361\) 20.3536 + 35.2535i 1.07124 + 1.85545i
\(362\) 16.8006 1.46986i 0.883021 0.0772543i
\(363\) −9.43174 16.5542i −0.495038 0.868869i
\(364\) −12.0806 + 2.13013i −0.633194 + 0.111649i
\(365\) −0.241727 + 6.42501i −0.0126526 + 0.336300i
\(366\) 27.0574 + 7.41614i 1.41431 + 0.387648i
\(367\) −1.16653 13.3335i −0.0608924 0.696004i −0.963880 0.266337i \(-0.914187\pi\)
0.902988 0.429667i \(-0.141369\pi\)
\(368\) −3.97833 + 14.8473i −0.207385 + 0.773970i
\(369\) −5.85858 + 6.82197i −0.304986 + 0.355138i
\(370\) −9.26459 + 0.460470i −0.481643 + 0.0239387i
\(371\) 1.46974 + 4.03807i 0.0763050 + 0.209646i
\(372\) −13.1950 + 35.6177i −0.684128 + 1.84669i
\(373\) −1.36803 + 15.6366i −0.0708338 + 0.809634i 0.874818 + 0.484452i \(0.160981\pi\)
−0.945652 + 0.325182i \(0.894575\pi\)
\(374\) 0.0188543 + 0.00686241i 0.000974933 + 0.000354847i
\(375\) −16.4596 10.2020i −0.849970 0.526830i
\(376\) 1.41463 8.02279i 0.0729542 0.413744i
\(377\) −9.79812 + 9.79812i −0.504629 + 0.504629i
\(378\) 27.9889 + 10.7345i 1.43959 + 0.552121i
\(379\) 26.4477i 1.35853i −0.733894 0.679264i \(-0.762299\pi\)
0.733894 0.679264i \(-0.237701\pi\)
\(380\) −58.2884 + 24.5565i −2.99013 + 1.25972i
\(381\) 8.39887 5.80965i 0.430287 0.297637i
\(382\) −7.88010 16.8989i −0.403181 0.864625i
\(383\) 18.5309 + 1.62124i 0.946883 + 0.0828415i 0.550126 0.835082i \(-0.314580\pi\)
0.396758 + 0.917923i \(0.370135\pi\)
\(384\) 35.7198 + 3.33104i 1.82282 + 0.169987i
\(385\) −0.0229838 + 0.00316694i −0.00117137 + 0.000161402i
\(386\) −38.2831 22.1028i −1.94856 1.12500i
\(387\) −15.4826 + 15.1323i −0.787022 + 0.769220i
\(388\) −44.5560 11.9388i −2.26199 0.606098i
\(389\) −25.4642 21.3670i −1.29108 1.08335i −0.991613 0.129243i \(-0.958745\pi\)
−0.299472 0.954105i \(-0.596810\pi\)
\(390\) 0.559403 + 12.7223i 0.0283265 + 0.644219i
\(391\) −2.52993 14.3479i −0.127944 0.725606i
\(392\) 3.62672 + 2.53946i 0.183177 + 0.128262i
\(393\) 0.153279 26.7998i 0.00773191 1.35187i
\(394\) 10.3018 12.2772i 0.518996 0.618515i
\(395\) −14.0612 7.21240i −0.707496 0.362895i
\(396\) 0.0439726 + 0.0165767i 0.00220971 + 0.000833013i
\(397\) 33.0030 8.84314i 1.65637 0.443824i 0.694987 0.719022i \(-0.255410\pi\)
0.961388 + 0.275198i \(0.0887434\pi\)
\(398\) −19.4610 9.07480i −0.975490 0.454879i
\(399\) 26.4763 + 18.7655i 1.32547 + 0.939450i
\(400\) −2.81160 10.0088i −0.140580 0.500439i
\(401\) −3.56868 + 9.80487i −0.178211 + 0.489632i −0.996347 0.0853930i \(-0.972785\pi\)
0.818136 + 0.575025i \(0.195008\pi\)
\(402\) −35.3123 + 12.6244i −1.76122 + 0.629647i
\(403\) 4.74861 + 6.78172i 0.236545 + 0.337821i
\(404\) 17.9432 0.892709
\(405\) 9.59195 17.6916i 0.476628 0.879105i
\(406\) −57.8436 −2.87073
\(407\) 0.00427944 + 0.00611167i 0.000212124 + 0.000302944i
\(408\) 12.6999 4.54030i 0.628740 0.224779i
\(409\) −13.0223 + 35.7785i −0.643911 + 1.76913i −0.00483335 + 0.999988i \(0.501539\pi\)
−0.639078 + 0.769142i \(0.720684\pi\)
\(410\) −7.44850 14.1003i −0.367855 0.696362i
\(411\) 5.52177 + 3.91364i 0.272369 + 0.193046i
\(412\) −38.4519 17.9304i −1.89439 0.883367i
\(413\) 2.33378 0.625335i 0.114838 0.0307707i
\(414\) −8.56777 52.0660i −0.421083 2.55890i
\(415\) 21.6873 6.98197i 1.06459 0.342732i
\(416\) 2.62527 3.12868i 0.128715 0.153396i
\(417\) −0.0538605 + 9.41713i −0.00263756 + 0.461159i
\(418\) 0.0644415 + 0.0451224i 0.00315194 + 0.00220701i
\(419\) −4.45593 25.2708i −0.217686 1.23456i −0.876184 0.481978i \(-0.839919\pi\)
0.658497 0.752583i \(-0.271192\pi\)
\(420\) −23.2174 + 25.3530i −1.13289 + 1.23710i
\(421\) −18.3149 15.3680i −0.892611 0.748990i 0.0761208 0.997099i \(-0.475747\pi\)
−0.968732 + 0.248109i \(0.920191\pi\)
\(422\) 14.6078 + 3.91416i 0.711098 + 0.190538i
\(423\) 1.53248 + 5.99264i 0.0745115 + 0.291372i
\(424\) 6.06417 + 3.50115i 0.294502 + 0.170031i
\(425\) 6.42449 + 7.47160i 0.311634 + 0.362426i
\(426\) −39.4459 3.67852i −1.91116 0.178225i
\(427\) 16.4450 + 1.43875i 0.795829 + 0.0696260i
\(428\) 7.26039 + 15.5699i 0.350944 + 0.752602i
\(429\) 0.00842388 0.00582695i 0.000406709 0.000281328i
\(430\) −14.9057 35.3807i −0.718814 1.70621i
\(431\) 15.6671i 0.754660i 0.926079 + 0.377330i \(0.123158\pi\)
−0.926079 + 0.377330i \(0.876842\pi\)
\(432\) 10.2144 3.52046i 0.491439 0.169378i
\(433\) 10.5845 10.5845i 0.508657 0.508657i −0.405457 0.914114i \(-0.632888\pi\)
0.914114 + 0.405457i \(0.132888\pi\)
\(434\) −6.00127 + 34.0349i −0.288070 + 1.63373i
\(435\) −5.05680 + 38.5021i −0.242455 + 1.84603i
\(436\) −38.7122 14.0901i −1.85398 0.674792i
\(437\) 4.97863 56.9060i 0.238160 2.72218i
\(438\) 4.11630 11.1113i 0.196684 0.530918i
\(439\) −7.09912 19.5047i −0.338823 0.930907i −0.985729 0.168338i \(-0.946160\pi\)
0.646907 0.762569i \(-0.276062\pi\)
\(440\) −0.0253728 + 0.0280269i −0.00120960 + 0.00133613i
\(441\) −3.30366 0.621570i −0.157317 0.0295986i
\(442\) 1.67715 6.25923i 0.0797741 0.297721i
\(443\) 0.655331 + 7.49047i 0.0311357 + 0.355883i 0.995742 + 0.0921874i \(0.0293859\pi\)
−0.964606 + 0.263696i \(0.915059\pi\)
\(444\) 10.6619 + 2.92231i 0.505993 + 0.138687i
\(445\) −9.96091 + 9.23857i −0.472192 + 0.437950i
\(446\) 8.80576 1.55269i 0.416965 0.0735222i
\(447\) 7.88480 + 13.8391i 0.372938 + 0.654565i
\(448\) 27.0293 2.36476i 1.27701 0.111724i
\(449\) 2.66419 + 4.61452i 0.125731 + 0.217773i 0.922018 0.387146i \(-0.126539\pi\)
−0.796287 + 0.604918i \(0.793206\pi\)
\(450\) 22.9569 + 27.3246i 1.08220 + 1.28810i
\(451\) −0.00641320 + 0.0111080i −0.000301986 + 0.000523055i
\(452\) −2.91594 + 6.25326i −0.137154 + 0.294129i
\(453\) −18.4233 6.82513i −0.865604 0.320672i
\(454\) 9.97027 + 11.8821i 0.467928 + 0.557655i
\(455\) 1.66586 + 7.30553i 0.0780968 + 0.342489i
\(456\) 52.7048 4.30747i 2.46813 0.201716i
\(457\) 19.2609 13.4866i 0.900988 0.630879i −0.0285551 0.999592i \(-0.509091\pi\)
0.929543 + 0.368714i \(0.120202\pi\)
\(458\) 7.29010 + 7.29010i 0.340644 + 0.340644i
\(459\) −7.36426 + 7.11579i −0.343734 + 0.332137i
\(460\) 59.1563 + 12.7410i 2.75818 + 0.594053i
\(461\) 15.8701 + 2.79833i 0.739145 + 0.130331i 0.530529 0.847667i \(-0.321993\pi\)
0.208615 + 0.977998i \(0.433104\pi\)
\(462\) 0.0420652 + 0.00766555i 0.00195705 + 0.000356634i
\(463\) −13.5284 + 6.30838i −0.628716 + 0.293175i −0.710740 0.703455i \(-0.751640\pi\)
0.0820233 + 0.996630i \(0.473862\pi\)
\(464\) −15.9702 + 13.4006i −0.741398 + 0.622106i
\(465\) 22.1298 + 6.96999i 1.02624 + 0.323225i
\(466\) 58.5204 21.2997i 2.71091 0.986689i
\(467\) −1.62693 6.07179i −0.0752854 0.280969i 0.918012 0.396552i \(-0.129793\pi\)
−0.993298 + 0.115583i \(0.963127\pi\)
\(468\) 4.09555 14.6141i 0.189317 0.675535i
\(469\) −19.1095 + 11.0329i −0.882393 + 0.509450i
\(470\) −10.8837 1.36618i −0.502029 0.0630170i
\(471\) 1.47433 0.386021i 0.0679335 0.0177869i
\(472\) 2.25819 3.22503i 0.103942 0.148444i
\(473\) −0.0177121 + 0.0252955i −0.000814402 + 0.00116309i
\(474\) 20.4756 + 20.7112i 0.940477 + 0.951297i
\(475\) 16.7489 + 34.8160i 0.768493 + 1.59747i
\(476\) 15.1495 8.74657i 0.694377 0.400899i
\(477\) −5.29081 0.523933i −0.242249 0.0239892i
\(478\) 11.2854 + 42.1177i 0.516182 + 1.92642i
\(479\) −6.42357 + 2.33799i −0.293501 + 0.106825i −0.484574 0.874750i \(-0.661025\pi\)
0.191073 + 0.981576i \(0.438803\pi\)
\(480\) 0.495730 11.4351i 0.0226269 0.521938i
\(481\) 1.84587 1.54887i 0.0841645 0.0706224i
\(482\) −13.6460 + 6.36322i −0.621557 + 0.289837i
\(483\) −10.4519 29.2356i −0.475578 1.33026i
\(484\) −39.6557 6.99237i −1.80253 0.317835i
\(485\) −5.93256 + 27.5448i −0.269384 + 1.25074i
\(486\) −26.9646 + 25.4648i −1.22314 + 1.15511i
\(487\) −11.7403 11.7403i −0.532002 0.532002i 0.389165 0.921168i \(-0.372763\pi\)
−0.921168 + 0.389165i \(0.872763\pi\)
\(488\) 22.0347 15.4289i 0.997463 0.698431i
\(489\) −4.98314 + 10.5287i −0.225345 + 0.476126i
\(490\) 3.17269 5.04700i 0.143327 0.228000i
\(491\) 10.6951 + 12.7459i 0.482663 + 0.575215i 0.951336 0.308157i \(-0.0997121\pi\)
−0.468673 + 0.883372i \(0.655268\pi\)
\(492\) 3.19313 + 18.7351i 0.143958 + 0.844645i
\(493\) 8.35099 17.9087i 0.376109 0.806569i
\(494\) 12.7035 22.0031i 0.571557 0.989966i
\(495\) 0.00877980 0.0273295i 0.000394622 0.00122837i
\(496\) 6.22793 + 10.7871i 0.279642 + 0.484355i
\(497\) −23.2220 + 2.03166i −1.04165 + 0.0911326i
\(498\) −41.9877 0.240145i −1.88152 0.0107612i
\(499\) 27.4365 4.83779i 1.22823 0.216569i 0.478363 0.878162i \(-0.341230\pi\)
0.749863 + 0.661593i \(0.230119\pi\)
\(500\) −38.8045 + 13.0110i −1.73539 + 0.581871i
\(501\) −3.17587 12.1296i −0.141887 0.541909i
\(502\) −5.54557 63.3862i −0.247511 2.82906i
\(503\) −3.86525 + 14.4253i −0.172343 + 0.643192i 0.824646 + 0.565649i \(0.191374\pi\)
−0.996989 + 0.0775431i \(0.975292\pi\)
\(504\) 25.0537 14.0852i 1.11598 0.627403i
\(505\) −0.544080 10.9468i −0.0242112 0.487127i
\(506\) −0.0257419 0.0707252i −0.00114436 0.00314412i
\(507\) 12.2627 + 14.7850i 0.544606 + 0.656626i
\(508\) 1.88116 21.5017i 0.0834629 0.953985i
\(509\) −5.75433 2.09440i −0.255056 0.0928328i 0.211328 0.977415i \(-0.432221\pi\)
−0.466384 + 0.884582i \(0.654443\pi\)
\(510\) −6.95473 16.7756i −0.307961 0.742834i
\(511\) 1.21069 6.86619i 0.0535580 0.303742i
\(512\) 15.9632 15.9632i 0.705482 0.705482i
\(513\) −35.1110 + 19.4759i −1.55019 + 0.859883i
\(514\) 9.32621i 0.411361i
\(515\) −9.77303 + 24.0024i −0.430651 + 1.05767i
\(516\) 3.72713 + 45.6039i 0.164078 + 2.00760i
\(517\) 0.00372867 + 0.00799616i 0.000163987 + 0.000351671i
\(518\) 10.0205 + 0.876681i 0.440276 + 0.0385191i
\(519\) 1.72693 + 3.75941i 0.0758039 + 0.165020i
\(520\) 9.73138 + 7.37438i 0.426749 + 0.323388i
\(521\) 19.3541 + 11.1741i 0.847920 + 0.489547i 0.859949 0.510381i \(-0.170495\pi\)
−0.0120282 + 0.999928i \(0.503829\pi\)
\(522\) 30.9851 64.5108i 1.35618 2.82356i
\(523\) 3.27820 + 0.878392i 0.143346 + 0.0384094i 0.329778 0.944058i \(-0.393026\pi\)
−0.186433 + 0.982468i \(0.559693\pi\)
\(524\) −43.3905 36.4089i −1.89552 1.59053i
\(525\) 16.1714 + 13.3957i 0.705778 + 0.584637i
\(526\) 12.7435 + 72.2722i 0.555645 + 3.15122i
\(527\) −9.67101 6.77171i −0.421276 0.294980i
\(528\) 0.0133898 0.00762881i 0.000582715 0.000332001i
\(529\) −20.3451 + 24.2463i −0.884569 + 1.05419i
\(530\) 4.30307 8.38921i 0.186913 0.364404i
\(531\) −0.552725 + 2.93775i −0.0239862 + 0.127488i
\(532\) 66.2503 17.7517i 2.87232 0.769635i
\(533\) 3.75433 + 1.75067i 0.162618 + 0.0758301i
\(534\) 22.7519 10.4514i 0.984570 0.452275i
\(535\) 9.27877 4.90154i 0.401156 0.211912i
\(536\) −12.2976 + 33.7875i −0.531178 + 1.45940i
\(537\) −22.2163 18.8592i −0.958702 0.813836i
\(538\) −15.7180 22.4477i −0.677652 0.967787i
\(539\) −0.00479492 −0.000206532
\(540\) −15.8384 39.4744i −0.681577 1.69871i
\(541\) −32.7244 −1.40693 −0.703466 0.710729i \(-0.748365\pi\)
−0.703466 + 0.710729i \(0.748365\pi\)
\(542\) −9.25340 13.2152i −0.397467 0.567642i
\(543\) −2.20107 + 12.0785i −0.0944569 + 0.518338i
\(544\) −1.99201 + 5.47299i −0.0854065 + 0.234653i
\(545\) −7.42224 + 24.0448i −0.317934 + 1.02997i
\(546\) 1.28221 13.7496i 0.0548736 0.588427i
\(547\) 25.9469 + 12.0993i 1.10941 + 0.517327i 0.888920 0.458063i \(-0.151456\pi\)
0.220491 + 0.975389i \(0.429234\pi\)
\(548\) 13.8168 3.70221i 0.590226 0.158151i
\(549\) −10.4137 + 17.5698i −0.444445 + 0.749861i
\(550\) 0.0393869 + 0.0322484i 0.00167946 + 0.00137508i
\(551\) 49.8005 59.3499i 2.12157 2.52839i
\(552\) −43.6686 25.5462i −1.85866 1.08732i
\(553\) 14.0375 + 9.82914i 0.596934 + 0.417977i
\(554\) 4.10455 + 23.2780i 0.174385 + 0.988989i
\(555\) 1.45955 6.59325i 0.0619545 0.279868i
\(556\) 15.2469 + 12.7937i 0.646612 + 0.542572i
\(557\) 21.1671 + 5.67171i 0.896879 + 0.240318i 0.677675 0.735361i \(-0.262988\pi\)
0.219203 + 0.975679i \(0.429654\pi\)
\(558\) −34.7431 24.9245i −1.47079 1.05514i
\(559\) 8.63696 + 4.98655i 0.365304 + 0.210909i
\(560\) 1.53883 + 11.1679i 0.0650275 + 0.471932i
\(561\) −0.00844633 + 0.0119170i −0.000356604 + 0.000503135i
\(562\) −61.7663 5.40385i −2.60545 0.227948i
\(563\) 4.57310 + 9.80704i 0.192733 + 0.413317i 0.978798 0.204826i \(-0.0656629\pi\)
−0.786065 + 0.618143i \(0.787885\pi\)
\(564\) 11.8164 + 5.59256i 0.497559 + 0.235489i
\(565\) 3.90341 + 1.58935i 0.164218 + 0.0668643i
\(566\) 17.6948i 0.743770i
\(567\) −12.9227 + 17.5852i −0.542703 + 0.738509i
\(568\) −26.8592 + 26.8592i −1.12699 + 1.12699i
\(569\) −2.29260 + 13.0020i −0.0961109 + 0.545072i 0.898290 + 0.439402i \(0.144810\pi\)
−0.994401 + 0.105670i \(0.966301\pi\)
\(570\) −9.31555 70.5902i −0.390185 2.95670i
\(571\) −7.42564 2.70271i −0.310753 0.113105i 0.181936 0.983310i \(-0.441764\pi\)
−0.492689 + 0.870206i \(0.663986\pi\)
\(572\) 0.00188676 0.0215658i 7.88894e−5 0.000901710i
\(573\) 13.3811 2.28062i 0.559004 0.0952742i
\(574\) 5.91434 + 16.2495i 0.246860 + 0.678242i
\(575\) 5.97929 36.4765i 0.249353 1.52117i
\(576\) −11.8415 + 31.4115i −0.493394 + 1.30881i
\(577\) −6.75192 + 25.1985i −0.281086 + 1.04903i 0.670566 + 0.741850i \(0.266051\pi\)
−0.951652 + 0.307178i \(0.900615\pi\)
\(578\) −2.71978 31.0872i −0.113128 1.29306i
\(579\) 22.8854 22.6251i 0.951083 0.940266i
\(580\) 55.8114 + 60.1751i 2.31744 + 2.49864i
\(581\) −24.3307 + 4.29016i −1.00941 + 0.177986i
\(582\) 26.2204 44.8211i 1.08687 1.85790i
\(583\) −0.00755470 0.000660950i −0.000312884 2.73738e-5i
\(584\) −5.68051 9.83893i −0.235061 0.407138i
\(585\) −9.03994 2.05548i −0.373755 0.0849838i
\(586\) 9.91592 17.1749i 0.409623 0.709488i
\(587\) −6.43160 + 13.7926i −0.265460 + 0.569282i −0.993180 0.116593i \(-0.962803\pi\)
0.727719 + 0.685875i \(0.240580\pi\)
\(588\) −5.46861 + 4.53567i −0.225522 + 0.187048i
\(589\) −29.7544 35.4599i −1.22601 1.46110i
\(590\) −4.48800 2.82128i −0.184768 0.116150i
\(591\) 6.63732 + 9.59542i 0.273023 + 0.394703i
\(592\) 2.96969 2.07940i 0.122053 0.0854627i
\(593\) −30.1991 30.1991i −1.24013 1.24013i −0.959947 0.280181i \(-0.909605\pi\)
−0.280181 0.959947i \(-0.590395\pi\)
\(594\) −0.0310822 + 0.0428075i −0.00127532 + 0.00175641i
\(595\) −5.79548 8.97720i −0.237592 0.368029i
\(596\) 33.1516 + 5.84552i 1.35794 + 0.239442i
\(597\) 10.1164 11.9172i 0.414036 0.487737i
\(598\) −22.0301 + 10.2728i −0.900876 + 0.420086i
\(599\) −13.7064 + 11.5010i −0.560028 + 0.469920i −0.878320 0.478073i \(-0.841335\pi\)
0.318292 + 0.947993i \(0.396891\pi\)
\(600\) 34.2171 0.216829i 1.39691 0.00885200i
\(601\) −34.7520 + 12.6487i −1.41757 + 0.515952i −0.933341 0.358992i \(-0.883121\pi\)
−0.484225 + 0.874944i \(0.660898\pi\)
\(602\) 10.7752 + 40.2135i 0.439163 + 1.63898i
\(603\) −2.06815 27.2220i −0.0842216 1.10857i
\(604\) −35.9606 + 20.7619i −1.46322 + 0.844788i
\(605\) −3.06346 + 24.4052i −0.124547 + 0.992212i
\(606\) −5.33943 + 19.4807i −0.216900 + 0.791348i
\(607\) −24.8599 + 35.5036i −1.00903 + 1.44105i −0.114830 + 0.993385i \(0.536632\pi\)
−0.894203 + 0.447663i \(0.852257\pi\)
\(608\) −13.0980 + 18.7059i −0.531196 + 0.758626i
\(609\) 11.1312 40.6118i 0.451060 1.64567i
\(610\) −22.2217 28.6013i −0.899732 1.15803i
\(611\) 2.46768 1.42471i 0.0998316 0.0576378i
\(612\) 1.63958 + 21.5810i 0.0662761 + 0.872359i
\(613\) −0.0568446 0.212147i −0.00229593 0.00856854i 0.964768 0.263101i \(-0.0847452\pi\)
−0.967064 + 0.254532i \(0.918079\pi\)
\(614\) 27.2515 9.91873i 1.09978 0.400287i
\(615\) 11.3331 2.51616i 0.456995 0.101461i
\(616\) 0.0314049 0.0263518i 0.00126534 0.00106175i
\(617\) 24.8316 11.5791i 0.999681 0.466159i 0.147307 0.989091i \(-0.452940\pi\)
0.852374 + 0.522932i \(0.175162\pi\)
\(618\) 30.9090 36.4110i 1.24334 1.46466i
\(619\) 40.1687 + 7.08283i 1.61452 + 0.284683i 0.906720 0.421733i \(-0.138578\pi\)
0.707797 + 0.706416i \(0.249689\pi\)
\(620\) 41.1972 26.5960i 1.65452 1.06812i
\(621\) 38.2041 + 4.00401i 1.53308 + 0.160675i
\(622\) 34.0580 + 34.0580i 1.36560 + 1.36560i
\(623\) 12.0678 8.45000i 0.483488 0.338542i
\(624\) −2.83134 4.09320i −0.113344 0.163859i
\(625\) 9.11442 + 23.2793i 0.364577 + 0.931173i
\(626\) 11.0778 + 13.2020i 0.442758 + 0.527658i
\(627\) −0.0440812 + 0.0365609i −0.00176043 + 0.00146010i
\(628\) 1.36126 2.91924i 0.0543203 0.116490i
\(629\) −1.71810 + 2.97584i −0.0685053 + 0.118655i
\(630\) −20.6165 32.7512i −0.821382 1.30484i
\(631\) −21.0645 36.4848i −0.838565 1.45244i −0.891095 0.453817i \(-0.850062\pi\)
0.0525304 0.998619i \(-0.483271\pi\)
\(632\) 27.8177 2.43373i 1.10653 0.0968087i
\(633\) −5.55920 + 9.50288i −0.220958 + 0.377706i
\(634\) 11.4992 2.02762i 0.456693 0.0805272i
\(635\) −13.1748 0.495675i −0.522827 0.0196703i
\(636\) −7.99093 + 7.90004i −0.316861 + 0.313257i
\(637\) 0.134968 + 1.54269i 0.00534761 + 0.0611235i
\(638\) 0.0264202 0.0986016i 0.00104599 0.00390367i
\(639\) 10.1735 26.9869i 0.402458 1.06759i
\(640\) −34.3344 31.0830i −1.35719 1.22866i
\(641\) −8.97472 24.6578i −0.354480 0.973926i −0.980912 0.194450i \(-0.937708\pi\)
0.626432 0.779476i \(-0.284514\pi\)
\(642\) −19.0645 + 3.24928i −0.752418 + 0.128239i
\(643\) −2.57976 + 29.4868i −0.101736 + 1.16284i 0.758052 + 0.652194i \(0.226151\pi\)
−0.859788 + 0.510651i \(0.829404\pi\)
\(644\) −61.6619 22.4431i −2.42982 0.884382i
\(645\) 27.7090 3.65667i 1.09104 0.143981i
\(646\) −6.29152 + 35.6810i −0.247536 + 1.40385i
\(647\) −3.41329 + 3.41329i −0.134190 + 0.134190i −0.771012 0.636821i \(-0.780249\pi\)
0.636821 + 0.771012i \(0.280249\pi\)
\(648\) 2.28810 + 35.4865i 0.0898852 + 1.39404i
\(649\) 0.00426384i 0.000167370i
\(650\) 9.26673 13.5798i 0.363471 0.532644i
\(651\) −22.7409 10.7630i −0.891287 0.421837i
\(652\) 10.4044 + 22.3123i 0.407468 + 0.873818i
\(653\) −44.7996 3.91945i −1.75314 0.153380i −0.835161 0.550005i \(-0.814626\pi\)
−0.917981 + 0.396625i \(0.870181\pi\)
\(654\) 26.8171 37.8364i 1.04863 1.47952i
\(655\) −20.8967 + 27.5757i −0.816500 + 1.07747i
\(656\) 5.39742 + 3.11620i 0.210734 + 0.121667i
\(657\) 7.00907 + 5.02826i 0.273450 + 0.196171i
\(658\) 11.4895 + 3.07859i 0.447906 + 0.120016i
\(659\) 31.0081 + 26.0189i 1.20790 + 1.01355i 0.999368 + 0.0355365i \(0.0113140\pi\)
0.208535 + 0.978015i \(0.433130\pi\)
\(660\) −0.0326128 0.0511570i −0.00126945 0.00199128i
\(661\) −2.96480 16.8142i −0.115318 0.653998i −0.986593 0.163203i \(-0.947817\pi\)
0.871275 0.490795i \(-0.163294\pi\)
\(662\) −9.67810 6.77668i −0.376150 0.263383i
\(663\) 4.07183 + 2.38203i 0.158137 + 0.0925103i
\(664\) −25.8776 + 30.8397i −1.00424 + 1.19681i
\(665\) −12.8388 39.8798i −0.497869 1.54647i
\(666\) −6.34542 + 10.7059i −0.245880 + 0.414845i
\(667\) −71.5973 + 19.1844i −2.77226 + 0.742824i
\(668\) −24.0171 11.1994i −0.929250 0.433316i
\(669\) −0.604411 + 6.48129i −0.0233679 + 0.250581i
\(670\) 46.2599 + 14.2797i 1.78718 + 0.551673i
\(671\) −0.00996382 + 0.0273754i −0.000384649 + 0.00105681i
\(672\) −2.22514 + 12.2106i −0.0858367 + 0.471034i
\(673\) −17.5288 25.0337i −0.675685 0.964978i −0.999820 0.0189672i \(-0.993962\pi\)
0.324135 0.946011i \(-0.394927\pi\)
\(674\) −52.2317 −2.01189
\(675\) −23.6023 + 10.8597i −0.908452 + 0.417989i
\(676\) 40.5973 1.56144
\(677\) 12.3542 + 17.6437i 0.474812 + 0.678102i 0.983097 0.183087i \(-0.0586090\pi\)
−0.508284 + 0.861189i \(0.669720\pi\)
\(678\) −5.92136 5.02660i −0.227408 0.193045i
\(679\) 10.4501 28.7114i 0.401038 1.10184i
\(680\) −16.6372 5.13563i −0.638007 0.196942i
\(681\) −10.2610 + 4.71354i −0.393203 + 0.180623i
\(682\) −0.0552756 0.0257754i −0.00211661 0.000986992i
\(683\) −8.93120 + 2.39311i −0.341743 + 0.0915697i −0.425609 0.904907i \(-0.639940\pi\)
0.0838658 + 0.996477i \(0.473273\pi\)
\(684\) −15.6905 + 83.3956i −0.599942 + 3.18871i
\(685\) −2.67761 8.31713i −0.102306 0.317781i
\(686\) −30.1131 + 35.8874i −1.14972 + 1.37019i
\(687\) −6.52124 + 3.71547i −0.248801 + 0.141754i
\(688\) 12.2912 + 8.60637i 0.468597 + 0.328115i
\(689\) 0.425300 + 2.41199i 0.0162026 + 0.0918897i
\(690\) −31.4361 + 60.4337i −1.19675 + 2.30067i
\(691\) 15.9016 + 13.3430i 0.604925 + 0.507592i 0.893024 0.450008i \(-0.148579\pi\)
−0.288099 + 0.957601i \(0.593023\pi\)
\(692\) 8.44577 + 2.26304i 0.321060 + 0.0860278i
\(693\) −0.0134768 + 0.0280587i −0.000511943 + 0.00106586i
\(694\) 32.1620 + 18.5688i 1.22085 + 0.704860i
\(695\) 7.34284 9.68976i 0.278530 0.367553i
\(696\) −28.6428 62.3533i −1.08570 2.36350i
\(697\) −5.88482 0.514855i −0.222903 0.0195015i
\(698\) 24.0132 + 51.4966i 0.908915 + 1.94917i
\(699\) 3.69296 + 45.1858i 0.139681 + 1.70908i
\(700\) 43.6110 8.23311i 1.64834 0.311182i
\(701\) 5.94733i 0.224627i 0.993673 + 0.112314i \(0.0358262\pi\)
−0.993673 + 0.112314i \(0.964174\pi\)
\(702\) 14.6475 + 8.79523i 0.552835 + 0.331955i
\(703\) −9.52667 + 9.52667i −0.359305 + 0.359305i
\(704\) −0.00831467 + 0.0471548i −0.000313371 + 0.00177721i
\(705\) 3.05361 7.37852i 0.115006 0.277891i
\(706\) 0.719149 + 0.261749i 0.0270655 + 0.00985105i
\(707\) −1.03586 + 11.8400i −0.0389577 + 0.445289i
\(708\) 4.03330 + 4.86292i 0.151581 + 0.182760i
\(709\) −0.0976022 0.268160i −0.00366553 0.0100710i 0.937846 0.347051i \(-0.112817\pi\)
−0.941512 + 0.336980i \(0.890595\pi\)
\(710\) 37.9159 + 34.3254i 1.42296 + 1.28821i
\(711\) −18.4815 + 10.3903i −0.693111 + 0.389666i
\(712\) 6.21318 23.1879i 0.232849 0.869004i
\(713\) 3.85981 + 44.1179i 0.144551 + 1.65223i
\(714\) 4.98792 + 19.0503i 0.186668 + 0.712941i
\(715\) −0.0132141 0.000497151i −0.000494178 1.85924e-5i
\(716\) −60.6550 + 10.6951i −2.26678 + 0.399695i
\(717\) −31.7424 0.181548i −1.18544 0.00678004i
\(718\) −9.91925 + 0.867822i −0.370183 + 0.0323868i
\(719\) −13.3454 23.1148i −0.497698 0.862038i 0.502299 0.864694i \(-0.332488\pi\)
−0.999996 + 0.00265626i \(0.999154\pi\)
\(720\) −13.2795 4.26614i −0.494898 0.158990i
\(721\) 14.0514 24.3377i 0.523300 0.906382i
\(722\) −40.9312 + 87.7772i −1.52330 + 3.26673i
\(723\) −1.84161 10.8053i −0.0684902 0.401854i
\(724\) 16.6792 + 19.8775i 0.619879 + 0.738743i
\(725\) 35.0193 35.8741i 1.30059 1.33233i
\(726\) 19.3920 40.9728i 0.719705 1.52064i
\(727\) 41.3229 28.9346i 1.53258 1.07313i 0.563584 0.826059i \(-0.309422\pi\)
0.968998 0.247067i \(-0.0794668\pi\)
\(728\) −9.36225 9.36225i −0.346988 0.346988i
\(729\) −12.6898 23.8321i −0.469993 0.882670i
\(730\) −12.8518 + 8.29686i −0.475668 + 0.307081i
\(731\) −14.0060 2.46963i −0.518030 0.0913427i
\(732\) 14.5315 + 40.6467i 0.537099 + 1.50235i
\(733\) 36.3592 16.9546i 1.34296 0.626231i 0.387639 0.921811i \(-0.373291\pi\)
0.955318 + 0.295580i \(0.0955128\pi\)
\(734\) 24.3943 20.4693i 0.900411 0.755535i
\(735\) 2.93294 + 3.19876i 0.108183 + 0.117988i
\(736\) 20.5300 7.47229i 0.756744 0.275432i
\(737\) −0.0100786 0.0376137i −0.000371249 0.00138552i
\(738\) −21.2906 2.10835i −0.783719 0.0776093i
\(739\) −18.7080 + 10.8011i −0.688186 + 0.397324i −0.802932 0.596070i \(-0.796728\pi\)
0.114746 + 0.993395i \(0.463395\pi\)
\(740\) −8.75643 11.2703i −0.321893 0.414304i
\(741\) 13.0037 + 13.1533i 0.477702 + 0.483198i
\(742\) −5.86427 + 8.37505i −0.215284 + 0.307458i
\(743\) 15.7534 22.4982i 0.577937 0.825380i −0.418631 0.908156i \(-0.637490\pi\)
0.996568 + 0.0827765i \(0.0263788\pi\)
\(744\) −39.6601 + 10.3841i −1.45401 + 0.380701i
\(745\) 2.56101 20.4024i 0.0938280 0.747486i
\(746\) −32.3418 + 18.6725i −1.18412 + 0.683650i
\(747\) 8.24858 29.4332i 0.301800 1.07691i
\(748\) 0.00799004 + 0.0298192i 0.000292145 + 0.00109030i
\(749\) −10.6931 + 3.89197i −0.390717 + 0.142210i
\(750\) −2.57867 46.0012i −0.0941598 1.67972i
\(751\) 36.9715 31.0228i 1.34911 1.13204i 0.369926 0.929061i \(-0.379383\pi\)
0.979184 0.202976i \(-0.0650615\pi\)
\(752\) 3.88537 1.81178i 0.141685 0.0660687i
\(753\) 45.5704 + 8.30430i 1.66068 + 0.302625i
\(754\) −32.4671 5.72483i −1.18238 0.208486i
\(755\) 13.7568 + 21.3093i 0.500662 + 0.775525i
\(756\) 11.1713 + 44.7492i 0.406294 + 1.62751i
\(757\) 25.7438 + 25.7438i 0.935673 + 0.935673i 0.998052 0.0623799i \(-0.0198691\pi\)
−0.0623799 + 0.998052i \(0.519869\pi\)
\(758\) 51.5451 36.0923i 1.87220 1.31093i
\(759\) 0.0546096 0.00446315i 0.00198220 0.000162002i
\(760\) −57.7971 36.3329i −2.09652 1.31793i
\(761\) 8.43284 + 10.0499i 0.305690 + 0.364308i 0.896918 0.442197i \(-0.145801\pi\)
−0.591227 + 0.806505i \(0.701356\pi\)
\(762\) 22.7843 + 8.44069i 0.825388 + 0.305774i
\(763\) 11.5323 24.7311i 0.417498 0.895327i
\(764\) 14.3444 24.8452i 0.518961 0.898867i
\(765\) 13.1164 1.65466i 0.474225 0.0598244i
\(766\) 22.1287 + 38.3280i 0.799543 + 1.38485i
\(767\) 1.37182 0.120019i 0.0495336 0.00433362i
\(768\) 23.0646 + 40.4820i 0.832272 + 1.46077i
\(769\) 3.71767 0.655525i 0.134062 0.0236388i −0.106214 0.994343i \(-0.533873\pi\)
0.240277 + 0.970704i \(0.422762\pi\)
\(770\) −0.0375374 0.0404724i −0.00135275 0.00145852i