Properties

Label 483.2.r.a.181.22
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.22
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.22

$q$-expansion

\(f(q)\) \(=\) \(q+(0.139288 + 0.968769i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.999875 - 0.293590i) q^{4} +(2.20891 - 2.54922i) q^{5} +(-0.275740 + 0.939085i) q^{6} +(-1.19486 - 2.36058i) q^{7} +(1.23685 + 2.70832i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.139288 + 0.968769i) q^{2} +(0.909632 + 0.415415i) q^{3} +(0.999875 - 0.293590i) q^{4} +(2.20891 - 2.54922i) q^{5} +(-0.275740 + 0.939085i) q^{6} +(-1.19486 - 2.36058i) q^{7} +(1.23685 + 2.70832i) q^{8} +(0.654861 + 0.755750i) q^{9} +(2.77728 + 1.78485i) q^{10} +(-4.11772 - 0.592039i) q^{11} +(1.03148 + 0.148304i) q^{12} +(0.505033 - 0.785847i) q^{13} +(2.12042 - 1.48634i) q^{14} +(3.06828 - 1.40124i) q^{15} +(-0.698142 + 0.448669i) q^{16} +(4.52632 + 1.32905i) q^{17} +(-0.640932 + 0.739675i) q^{18} +(-0.935178 + 0.274593i) q^{19} +(1.46021 - 3.19741i) q^{20} +(-0.106261 - 2.64362i) q^{21} -4.07158i q^{22} +(-4.35692 + 2.00431i) q^{23} +2.97738i q^{24} +(-0.907659 - 6.31290i) q^{25} +(0.831649 + 0.379801i) q^{26} +(0.281733 + 0.959493i) q^{27} +(-1.88775 - 2.00948i) q^{28} +(-0.0978288 - 0.0287251i) q^{29} +(1.78485 + 2.77728i) q^{30} +(2.52696 - 1.15403i) q^{31} +(3.36764 + 3.88647i) q^{32} +(-3.49967 - 2.24910i) q^{33} +(-0.657077 + 4.57007i) q^{34} +(-8.65696 - 2.16835i) q^{35} +(0.876659 + 0.563394i) q^{36} +(-4.45895 + 3.86370i) q^{37} +(-0.396276 - 0.867723i) q^{38} +(0.785847 - 0.505033i) q^{39} +(9.63621 + 2.82945i) q^{40} +(5.38416 + 4.66540i) q^{41} +(2.54625 - 0.471166i) q^{42} +(-2.52966 - 1.15526i) q^{43} +(-4.29102 + 0.616956i) q^{44} +3.37310 q^{45} +(-2.54858 - 3.94167i) q^{46} +4.36801i q^{47} +(-0.821436 + 0.118105i) q^{48} +(-4.14464 + 5.64110i) q^{49} +(5.98932 - 1.75862i) q^{50} +(3.56518 + 3.08924i) q^{51} +(0.274253 - 0.934021i) q^{52} +(7.67974 + 11.9499i) q^{53} +(-0.890285 + 0.406579i) q^{54} +(-10.6049 + 9.18922i) q^{55} +(4.91534 - 6.15573i) q^{56} +(-0.964737 - 0.138708i) q^{57} +(0.0142016 - 0.0987745i) q^{58} +(-7.23921 + 11.2644i) q^{59} +(2.65651 - 2.30188i) q^{60} +(-3.79868 - 8.31795i) q^{61} +(1.46996 + 2.28730i) q^{62} +(1.00154 - 2.44886i) q^{63} +(-4.38293 + 5.05817i) q^{64} +(-0.887723 - 3.02331i) q^{65} +(1.69140 - 3.70364i) q^{66} +(-4.69987 + 0.675740i) q^{67} +4.91594 q^{68} +(-4.79581 + 0.0132547i) q^{69} +(0.894822 - 8.68862i) q^{70} +(0.292204 + 2.03232i) q^{71} +(-1.23685 + 2.70832i) q^{72} +(-1.94050 - 6.60873i) q^{73} +(-4.36411 - 3.78152i) q^{74} +(1.79684 - 6.11947i) q^{75} +(-0.854443 + 0.549117i) q^{76} +(3.52253 + 10.4276i) q^{77} +(0.598719 + 0.690959i) q^{78} +(5.65978 - 8.80679i) q^{79} +(-0.398379 + 2.77079i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-3.76974 + 5.86584i) q^{82} +(-2.48752 - 2.87075i) q^{83} +(-0.882386 - 2.61209i) q^{84} +(13.3863 - 8.60283i) q^{85} +(0.766825 - 2.61157i) q^{86} +(-0.0770553 - 0.0667688i) q^{87} +(-3.48957 - 11.8844i) q^{88} +(5.83329 - 12.7731i) q^{89} +(0.469832 + 3.26776i) q^{90} +(-2.45849 - 0.253195i) q^{91} +(-3.76793 + 3.28320i) q^{92} +2.77801 q^{93} +(-4.23159 + 0.608410i) q^{94} +(-1.36573 + 2.99053i) q^{95} +(1.44882 + 4.93423i) q^{96} +(1.18608 - 1.36881i) q^{97} +(-6.04222 - 3.22946i) q^{98} +(-2.24910 - 3.49967i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.139288 + 0.968769i 0.0984914 + 0.685023i 0.977918 + 0.208988i \(0.0670171\pi\)
−0.879427 + 0.476034i \(0.842074\pi\)
\(3\) 0.909632 + 0.415415i 0.525176 + 0.239840i
\(4\) 0.999875 0.293590i 0.499937 0.146795i
\(5\) 2.20891 2.54922i 0.987856 1.14005i −0.00228890 0.999997i \(-0.500729\pi\)
0.990145 0.140049i \(-0.0447260\pi\)
\(6\) −0.275740 + 0.939085i −0.112570 + 0.383380i
\(7\) −1.19486 2.36058i −0.451613 0.892214i
\(8\) 1.23685 + 2.70832i 0.437292 + 0.957537i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) 2.77728 + 1.78485i 0.878253 + 0.564419i
\(11\) −4.11772 0.592039i −1.24154 0.178506i −0.509921 0.860221i \(-0.670325\pi\)
−0.731618 + 0.681715i \(0.761235\pi\)
\(12\) 1.03148 + 0.148304i 0.297762 + 0.0428118i
\(13\) 0.505033 0.785847i 0.140071 0.217955i −0.764130 0.645063i \(-0.776831\pi\)
0.904201 + 0.427108i \(0.140468\pi\)
\(14\) 2.12042 1.48634i 0.566707 0.397241i
\(15\) 3.06828 1.40124i 0.792227 0.361798i
\(16\) −0.698142 + 0.448669i −0.174536 + 0.112167i
\(17\) 4.52632 + 1.32905i 1.09779 + 0.322341i 0.779975 0.625811i \(-0.215232\pi\)
0.317818 + 0.948152i \(0.397050\pi\)
\(18\) −0.640932 + 0.739675i −0.151069 + 0.174343i
\(19\) −0.935178 + 0.274593i −0.214544 + 0.0629959i −0.387238 0.921980i \(-0.626571\pi\)
0.172694 + 0.984976i \(0.444753\pi\)
\(20\) 1.46021 3.19741i 0.326513 0.714964i
\(21\) −0.106261 2.64362i −0.0231880 0.576884i
\(22\) 4.07158i 0.868064i
\(23\) −4.35692 + 2.00431i −0.908480 + 0.417927i
\(24\) 2.97738i 0.607756i
\(25\) −0.907659 6.31290i −0.181532 1.26258i
\(26\) 0.831649 + 0.379801i 0.163100 + 0.0744851i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) −1.88775 2.00948i −0.356751 0.379756i
\(29\) −0.0978288 0.0287251i −0.0181663 0.00533412i 0.272637 0.962117i \(-0.412104\pi\)
−0.290803 + 0.956783i \(0.593922\pi\)
\(30\) 1.78485 + 2.77728i 0.325867 + 0.507060i
\(31\) 2.52696 1.15403i 0.453856 0.207269i −0.175352 0.984506i \(-0.556106\pi\)
0.629209 + 0.777237i \(0.283379\pi\)
\(32\) 3.36764 + 3.88647i 0.595321 + 0.687037i
\(33\) −3.49967 2.24910i −0.609214 0.391518i
\(34\) −0.657077 + 4.57007i −0.112688 + 0.783761i
\(35\) −8.65696 2.16835i −1.46329 0.366519i
\(36\) 0.876659 + 0.563394i 0.146110 + 0.0938991i
\(37\) −4.45895 + 3.86370i −0.733047 + 0.635189i −0.939216 0.343328i \(-0.888446\pi\)
0.206169 + 0.978516i \(0.433900\pi\)
\(38\) −0.396276 0.867723i −0.0642844 0.140763i
\(39\) 0.785847 0.505033i 0.125836 0.0808700i
\(40\) 9.63621 + 2.82945i 1.52362 + 0.447375i
\(41\) 5.38416 + 4.66540i 0.840864 + 0.728613i 0.964604 0.263702i \(-0.0849435\pi\)
−0.123740 + 0.992315i \(0.539489\pi\)
\(42\) 2.54625 0.471166i 0.392895 0.0727025i
\(43\) −2.52966 1.15526i −0.385769 0.176175i 0.213084 0.977034i \(-0.431649\pi\)
−0.598853 + 0.800859i \(0.704377\pi\)
\(44\) −4.29102 + 0.616956i −0.646896 + 0.0930096i
\(45\) 3.37310 0.502832
\(46\) −2.54858 3.94167i −0.375767 0.581168i
\(47\) 4.36801i 0.637139i 0.947899 + 0.318570i \(0.103202\pi\)
−0.947899 + 0.318570i \(0.896798\pi\)
\(48\) −0.821436 + 0.118105i −0.118564 + 0.0170469i
\(49\) −4.14464 + 5.64110i −0.592091 + 0.805871i
\(50\) 5.98932 1.75862i 0.847017 0.248707i
\(51\) 3.56518 + 3.08924i 0.499225 + 0.432581i
\(52\) 0.274253 0.934021i 0.0380321 0.129525i
\(53\) 7.67974 + 11.9499i 1.05489 + 1.64145i 0.712167 + 0.702010i \(0.247714\pi\)
0.342726 + 0.939435i \(0.388650\pi\)
\(54\) −0.890285 + 0.406579i −0.121152 + 0.0553284i
\(55\) −10.6049 + 9.18922i −1.42997 + 1.23907i
\(56\) 4.91534 6.15573i 0.656840 0.822595i
\(57\) −0.964737 0.138708i −0.127783 0.0183724i
\(58\) 0.0142016 0.0987745i 0.00186477 0.0129697i
\(59\) −7.23921 + 11.2644i −0.942465 + 1.46650i −0.0588627 + 0.998266i \(0.518747\pi\)
−0.883602 + 0.468238i \(0.844889\pi\)
\(60\) 2.65651 2.30188i 0.342954 0.297171i
\(61\) −3.79868 8.31795i −0.486371 1.06500i −0.980662 0.195708i \(-0.937300\pi\)
0.494291 0.869296i \(-0.335428\pi\)
\(62\) 1.46996 + 2.28730i 0.186685 + 0.290488i
\(63\) 1.00154 2.44886i 0.126182 0.308527i
\(64\) −4.38293 + 5.05817i −0.547866 + 0.632272i
\(65\) −0.887723 3.02331i −0.110109 0.374995i
\(66\) 1.69140 3.70364i 0.208196 0.455887i
\(67\) −4.69987 + 0.675740i −0.574181 + 0.0825548i −0.423288 0.905995i \(-0.639124\pi\)
−0.150893 + 0.988550i \(0.548215\pi\)
\(68\) 4.91594 0.596146
\(69\) −4.79581 + 0.0132547i −0.577348 + 0.00159567i
\(70\) 0.894822 8.68862i 0.106952 1.03849i
\(71\) 0.292204 + 2.03232i 0.0346782 + 0.241193i 0.999787 0.0206584i \(-0.00657623\pi\)
−0.965108 + 0.261851i \(0.915667\pi\)
\(72\) −1.23685 + 2.70832i −0.145764 + 0.319179i
\(73\) −1.94050 6.60873i −0.227118 0.773493i −0.991656 0.128914i \(-0.958851\pi\)
0.764538 0.644579i \(-0.222967\pi\)
\(74\) −4.36411 3.78152i −0.507318 0.439593i
\(75\) 1.79684 6.11947i 0.207481 0.706616i
\(76\) −0.854443 + 0.549117i −0.0980113 + 0.0629880i
\(77\) 3.52253 + 10.4276i 0.401430 + 1.18833i
\(78\) 0.598719 + 0.690959i 0.0677916 + 0.0782357i
\(79\) 5.65978 8.80679i 0.636775 0.990841i −0.361514 0.932367i \(-0.617740\pi\)
0.998289 0.0584743i \(-0.0186236\pi\)
\(80\) −0.398379 + 2.77079i −0.0445402 + 0.309784i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −3.76974 + 5.86584i −0.416299 + 0.647773i
\(83\) −2.48752 2.87075i −0.273041 0.315106i 0.602624 0.798025i \(-0.294122\pi\)
−0.875665 + 0.482919i \(0.839576\pi\)
\(84\) −0.882386 2.61209i −0.0962762 0.285002i
\(85\) 13.3863 8.60283i 1.45194 0.933108i
\(86\) 0.766825 2.61157i 0.0826889 0.281613i
\(87\) −0.0770553 0.0667688i −0.00826120 0.00715837i
\(88\) −3.48957 11.8844i −0.371989 1.26688i
\(89\) 5.83329 12.7731i 0.618327 1.35395i −0.298402 0.954440i \(-0.596454\pi\)
0.916730 0.399508i \(-0.130819\pi\)
\(90\) 0.469832 + 3.26776i 0.0495247 + 0.344452i
\(91\) −2.45849 0.253195i −0.257720 0.0265420i
\(92\) −3.76793 + 3.28320i −0.392834 + 0.342298i
\(93\) 2.77801 0.288066
\(94\) −4.23159 + 0.608410i −0.436455 + 0.0627527i
\(95\) −1.36573 + 2.99053i −0.140121 + 0.306821i
\(96\) 1.44882 + 4.93423i 0.147869 + 0.503597i
\(97\) 1.18608 1.36881i 0.120428 0.138982i −0.692334 0.721577i \(-0.743417\pi\)
0.812762 + 0.582596i \(0.197963\pi\)
\(98\) −6.04222 3.22946i −0.610356 0.326224i
\(99\) −2.24910 3.49967i −0.226043 0.351730i
\(100\) −2.76095 6.04563i −0.276095 0.604563i
\(101\) −13.9683 + 12.1036i −1.38990 + 1.20435i −0.437608 + 0.899166i \(0.644174\pi\)
−0.952292 + 0.305189i \(0.901280\pi\)
\(102\) −2.49618 + 3.88413i −0.247158 + 0.384586i
\(103\) 1.51591 10.5434i 0.149367 1.03887i −0.767892 0.640579i \(-0.778694\pi\)
0.917259 0.398291i \(-0.130397\pi\)
\(104\) 2.75298 + 0.395818i 0.269952 + 0.0388132i
\(105\) −6.97388 5.56864i −0.680581 0.543443i
\(106\) −10.5070 + 9.10436i −1.02053 + 0.884294i
\(107\) 9.26064 4.22919i 0.895260 0.408852i 0.0859952 0.996296i \(-0.472593\pi\)
0.809265 + 0.587444i \(0.199866\pi\)
\(108\) 0.563394 + 0.876659i 0.0542127 + 0.0843565i
\(109\) −0.925955 + 3.15351i −0.0886904 + 0.302052i −0.991878 0.127195i \(-0.959403\pi\)
0.903187 + 0.429247i \(0.141221\pi\)
\(110\) −10.3794 8.99377i −0.989633 0.857522i
\(111\) −5.66104 + 1.66223i −0.537323 + 0.157772i
\(112\) 1.89330 + 1.11192i 0.178900 + 0.105067i
\(113\) −11.1131 + 1.59783i −1.04544 + 0.150311i −0.643570 0.765387i \(-0.722547\pi\)
−0.401866 + 0.915698i \(0.631638\pi\)
\(114\) 0.953928i 0.0893435i
\(115\) −4.51462 + 15.5341i −0.420991 + 1.44856i
\(116\) −0.106250 −0.00986506
\(117\) 0.924630 0.132942i 0.0854821 0.0122905i
\(118\) −11.9210 5.44412i −1.09741 0.501172i
\(119\) −2.27098 12.2727i −0.208181 1.12504i
\(120\) 7.59001 + 6.57678i 0.692870 + 0.600375i
\(121\) 6.05069 + 1.77664i 0.550063 + 0.161513i
\(122\) 7.52906 4.83863i 0.681649 0.438069i
\(123\) 2.95952 + 6.48046i 0.266851 + 0.584323i
\(124\) 2.18784 1.89577i 0.196474 0.170245i
\(125\) −3.90975 2.51265i −0.349699 0.224738i
\(126\) 2.51188 + 0.629164i 0.223776 + 0.0560503i
\(127\) −1.57055 + 10.9234i −0.139364 + 0.969295i 0.793373 + 0.608736i \(0.208323\pi\)
−0.932736 + 0.360559i \(0.882586\pi\)
\(128\) 3.14166 + 2.01902i 0.277686 + 0.178458i
\(129\) −1.82115 2.10172i −0.160343 0.185046i
\(130\) 2.80524 1.28111i 0.246036 0.112361i
\(131\) −8.69484 13.5294i −0.759672 1.18207i −0.978487 0.206306i \(-0.933856\pi\)
0.218816 0.975766i \(-0.429781\pi\)
\(132\) −4.15954 1.22135i −0.362042 0.106305i
\(133\) 1.76560 + 1.87946i 0.153097 + 0.162970i
\(134\) −1.30927 4.45897i −0.113104 0.385196i
\(135\) 3.06828 + 1.40124i 0.264076 + 0.120599i
\(136\) 1.99889 + 13.9026i 0.171403 + 1.19213i
\(137\) 12.2042i 1.04267i −0.853351 0.521337i \(-0.825433\pi\)
0.853351 0.521337i \(-0.174567\pi\)
\(138\) −0.680839 4.64419i −0.0579569 0.395339i
\(139\) 14.6781i 1.24498i −0.782627 0.622491i \(-0.786121\pi\)
0.782627 0.622491i \(-0.213879\pi\)
\(140\) −9.29248 + 0.373514i −0.785358 + 0.0315677i
\(141\) −1.81454 + 3.97328i −0.152811 + 0.334610i
\(142\) −1.92815 + 0.566156i −0.161807 + 0.0475108i
\(143\) −2.54484 + 2.93690i −0.212810 + 0.245596i
\(144\) −0.796267 0.233805i −0.0663556 0.0194838i
\(145\) −0.289322 + 0.185936i −0.0240269 + 0.0154411i
\(146\) 6.13204 2.80041i 0.507491 0.231763i
\(147\) −6.11349 + 3.40958i −0.504232 + 0.281217i
\(148\) −3.32405 + 5.17232i −0.273235 + 0.425162i
\(149\) −5.19157 0.746435i −0.425310 0.0611504i −0.0736634 0.997283i \(-0.523469\pi\)
−0.351647 + 0.936133i \(0.614378\pi\)
\(150\) 6.17863 + 0.888353i 0.504483 + 0.0725337i
\(151\) 6.67383 + 4.28901i 0.543108 + 0.349035i 0.783254 0.621702i \(-0.213559\pi\)
−0.240145 + 0.970737i \(0.577195\pi\)
\(152\) −1.90036 2.19313i −0.154140 0.177887i
\(153\) 1.95968 + 4.29110i 0.158431 + 0.346915i
\(154\) −9.61128 + 4.86496i −0.774499 + 0.392029i
\(155\) 2.63998 8.99093i 0.212048 0.722169i
\(156\) 0.637476 0.735686i 0.0510389 0.0589020i
\(157\) 14.5491 4.27201i 1.16115 0.340944i 0.356269 0.934383i \(-0.384049\pi\)
0.804878 + 0.593440i \(0.202230\pi\)
\(158\) 9.32008 + 4.25634i 0.741465 + 0.338616i
\(159\) 2.02157 + 14.0603i 0.160321 + 1.11505i
\(160\) 17.3463 1.37135
\(161\) 9.93722 + 7.88998i 0.783162 + 0.621817i
\(162\) −0.978731 −0.0768963
\(163\) −2.92725 20.3595i −0.229280 1.59468i −0.701152 0.713012i \(-0.747331\pi\)
0.471872 0.881667i \(-0.343579\pi\)
\(164\) 6.75319 + 3.08408i 0.527336 + 0.240826i
\(165\) −13.4639 + 3.95336i −1.04816 + 0.307769i
\(166\) 2.43461 2.80969i 0.188963 0.218075i
\(167\) 5.79269 19.7281i 0.448252 1.52660i −0.357249 0.934009i \(-0.616285\pi\)
0.805500 0.592595i \(-0.201897\pi\)
\(168\) 7.02834 3.55755i 0.542248 0.274471i
\(169\) 5.03790 + 11.0315i 0.387531 + 0.848574i
\(170\) 10.1987 + 11.7699i 0.782205 + 0.902712i
\(171\) −0.819935 0.526940i −0.0627020 0.0402961i
\(172\) −2.86851 0.412430i −0.218722 0.0314475i
\(173\) 18.8416 + 2.70901i 1.43250 + 0.205962i 0.814476 0.580198i \(-0.197025\pi\)
0.618023 + 0.786160i \(0.287934\pi\)
\(174\) 0.0539507 0.0839489i 0.00408999 0.00636415i
\(175\) −13.8176 + 9.68561i −1.04451 + 0.732163i
\(176\) 3.14038 1.43417i 0.236715 0.108104i
\(177\) −11.2644 + 7.23921i −0.846687 + 0.544132i
\(178\) 13.1867 + 3.87197i 0.988385 + 0.290216i
\(179\) −1.33703 + 1.54301i −0.0999342 + 0.115330i −0.803514 0.595287i \(-0.797039\pi\)
0.703579 + 0.710617i \(0.251584\pi\)
\(180\) 3.37268 0.990308i 0.251385 0.0738132i
\(181\) −10.7992 + 23.6469i −0.802698 + 1.75766i −0.166647 + 0.986017i \(0.553294\pi\)
−0.636051 + 0.771647i \(0.719433\pi\)
\(182\) −0.0971511 2.41698i −0.00720132 0.179158i
\(183\) 9.14430i 0.675966i
\(184\) −10.8172 9.32091i −0.797452 0.687147i
\(185\) 19.9014i 1.46318i
\(186\) 0.386943 + 2.69125i 0.0283720 + 0.197332i
\(187\) −17.8513 8.15240i −1.30541 0.596162i
\(188\) 1.28240 + 4.36746i 0.0935287 + 0.318530i
\(189\) 1.92833 1.81151i 0.140265 0.131768i
\(190\) −3.08736 0.906530i −0.223980 0.0657666i
\(191\) −3.86929 6.02074i −0.279972 0.435645i 0.672578 0.740026i \(-0.265187\pi\)
−0.952550 + 0.304381i \(0.901551\pi\)
\(192\) −6.08810 + 2.78034i −0.439370 + 0.200654i
\(193\) −13.4492 15.5212i −0.968094 1.11724i −0.993067 0.117552i \(-0.962495\pi\)
0.0249727 0.999688i \(-0.492050\pi\)
\(194\) 1.49127 + 0.958380i 0.107067 + 0.0688077i
\(195\) 0.448426 3.11887i 0.0321125 0.223347i
\(196\) −2.48795 + 6.85721i −0.177711 + 0.489801i
\(197\) −11.0667 7.11217i −0.788473 0.506721i 0.0833627 0.996519i \(-0.473434\pi\)
−0.871836 + 0.489798i \(0.837070\pi\)
\(198\) 3.07710 2.66632i 0.218680 0.189487i
\(199\) 6.52852 + 14.2955i 0.462794 + 1.01338i 0.986842 + 0.161689i \(0.0516941\pi\)
−0.524048 + 0.851689i \(0.675579\pi\)
\(200\) 15.9747 10.2663i 1.12959 0.725940i
\(201\) −4.55587 1.33772i −0.321346 0.0943557i
\(202\) −13.6712 11.8462i −0.961904 0.833494i
\(203\) 0.0490835 + 0.265255i 0.00344499 + 0.0186172i
\(204\) 4.47170 + 2.04216i 0.313082 + 0.142980i
\(205\) 23.7863 3.41995i 1.66130 0.238860i
\(206\) 10.4252 0.726361
\(207\) −4.36793 1.98020i −0.303592 0.137633i
\(208\) 0.775225i 0.0537522i
\(209\) 4.01337 0.577035i 0.277611 0.0399144i
\(210\) 4.42334 7.53172i 0.305240 0.519738i
\(211\) −4.21913 + 1.23885i −0.290457 + 0.0852859i −0.423715 0.905795i \(-0.639274\pi\)
0.133258 + 0.991081i \(0.457456\pi\)
\(212\) 11.1871 + 9.69371i 0.768336 + 0.665767i
\(213\) −0.578460 + 1.97005i −0.0396354 + 0.134986i
\(214\) 5.38700 + 8.38234i 0.368248 + 0.573005i
\(215\) −8.53280 + 3.89680i −0.581932 + 0.265759i
\(216\) −2.25016 + 1.94977i −0.153104 + 0.132665i
\(217\) −5.74353 4.58620i −0.389896 0.311331i
\(218\) −3.18400 0.457790i −0.215648 0.0310055i
\(219\) 0.980226 6.81762i 0.0662375 0.460692i
\(220\) −7.90573 + 12.3016i −0.533004 + 0.829371i
\(221\) 3.33037 2.88578i 0.224025 0.194119i
\(222\) −2.39883 5.25271i −0.160999 0.352539i
\(223\) 12.3023 + 19.1428i 0.823826 + 1.28190i 0.956791 + 0.290777i \(0.0939138\pi\)
−0.132965 + 0.991121i \(0.542450\pi\)
\(224\) 5.15045 12.5933i 0.344129 0.841429i
\(225\) 4.17658 4.82004i 0.278439 0.321336i
\(226\) −3.09585 10.5435i −0.205933 0.701343i
\(227\) 2.57281 5.63366i 0.170763 0.373919i −0.804830 0.593506i \(-0.797744\pi\)
0.975593 + 0.219586i \(0.0704708\pi\)
\(228\) −1.00534 + 0.144546i −0.0665803 + 0.00957279i
\(229\) −4.45022 −0.294079 −0.147039 0.989131i \(-0.546974\pi\)
−0.147039 + 0.989131i \(0.546974\pi\)
\(230\) −15.6778 2.20992i −1.03376 0.145717i
\(231\) −1.12757 + 10.9486i −0.0741887 + 0.720364i
\(232\) −0.0432026 0.300481i −0.00283639 0.0197275i
\(233\) −0.402658 + 0.881699i −0.0263790 + 0.0577620i −0.922363 0.386325i \(-0.873744\pi\)
0.895984 + 0.444087i \(0.146472\pi\)
\(234\) 0.257579 + 0.877235i 0.0168385 + 0.0573466i
\(235\) 11.1350 + 9.64854i 0.726368 + 0.629402i
\(236\) −3.93118 + 13.3884i −0.255898 + 0.871509i
\(237\) 8.80679 5.65978i 0.572062 0.367642i
\(238\) 11.5731 3.90950i 0.750174 0.253415i
\(239\) −9.10776 10.5109i −0.589132 0.679894i 0.380411 0.924818i \(-0.375783\pi\)
−0.969542 + 0.244923i \(0.921237\pi\)
\(240\) −1.51341 + 2.35491i −0.0976899 + 0.152008i
\(241\) 0.325778 2.26584i 0.0209852 0.145955i −0.976635 0.214905i \(-0.931056\pi\)
0.997620 + 0.0689499i \(0.0219649\pi\)
\(242\) −0.878368 + 6.10918i −0.0564636 + 0.392713i
\(243\) −0.540641 + 0.841254i −0.0346821 + 0.0539664i
\(244\) −6.24027 7.20165i −0.399492 0.461038i
\(245\) 5.22527 + 23.0263i 0.333830 + 1.47110i
\(246\) −5.86584 + 3.76974i −0.373992 + 0.240350i
\(247\) −0.256508 + 0.873585i −0.0163212 + 0.0555849i
\(248\) 6.25095 + 5.41648i 0.396936 + 0.343947i
\(249\) −1.07018 3.64468i −0.0678196 0.230972i
\(250\) 1.88959 4.13763i 0.119508 0.261687i
\(251\) 3.45453 + 24.0268i 0.218048 + 1.51656i 0.745231 + 0.666807i \(0.232339\pi\)
−0.527182 + 0.849752i \(0.676752\pi\)
\(252\) 0.282454 2.74260i 0.0177929 0.172767i
\(253\) 19.1272 5.67372i 1.20252 0.356704i
\(254\) −10.8010 −0.677715
\(255\) 15.7503 2.26455i 0.986324 0.141812i
\(256\) −7.07905 + 15.5010i −0.442441 + 0.968810i
\(257\) −1.90930 6.50248i −0.119099 0.405613i 0.878265 0.478174i \(-0.158701\pi\)
−0.997364 + 0.0725606i \(0.976883\pi\)
\(258\) 1.78241 2.05701i 0.110968 0.128064i
\(259\) 14.4484 + 5.90912i 0.897778 + 0.367175i
\(260\) −1.77522 2.76230i −0.110095 0.171311i
\(261\) −0.0423552 0.0927450i −0.00262172 0.00574077i
\(262\) 11.8958 10.3078i 0.734925 0.636816i
\(263\) 0.131342 0.204373i 0.00809893 0.0126022i −0.837180 0.546927i \(-0.815798\pi\)
0.845279 + 0.534325i \(0.179434\pi\)
\(264\) 1.76273 12.2600i 0.108488 0.754553i
\(265\) 47.4268 + 6.81895i 2.91341 + 0.418885i
\(266\) −1.57483 + 1.97224i −0.0965592 + 0.120926i
\(267\) 10.6123 9.19560i 0.649462 0.562762i
\(268\) −4.50089 + 2.05549i −0.274936 + 0.125559i
\(269\) −1.67623 2.60826i −0.102202 0.159029i 0.786387 0.617735i \(-0.211949\pi\)
−0.888588 + 0.458706i \(0.848313\pi\)
\(270\) −0.930100 + 3.16763i −0.0566041 + 0.192776i
\(271\) 5.17189 + 4.48146i 0.314170 + 0.272230i 0.797643 0.603129i \(-0.206080\pi\)
−0.483474 + 0.875359i \(0.660625\pi\)
\(272\) −3.75631 + 1.10295i −0.227760 + 0.0668764i
\(273\) −2.13114 1.25161i −0.128983 0.0757508i
\(274\) 11.8230 1.69990i 0.714256 0.102695i
\(275\) 26.5321i 1.59995i
\(276\) −4.79132 + 1.42125i −0.288404 + 0.0855494i
\(277\) 29.5230 1.77387 0.886933 0.461898i \(-0.152831\pi\)
0.886933 + 0.461898i \(0.152831\pi\)
\(278\) 14.2197 2.04448i 0.852841 0.122620i
\(279\) 2.52696 + 1.15403i 0.151285 + 0.0690897i
\(280\) −4.83476 26.1278i −0.288932 1.56143i
\(281\) −24.3473 21.0971i −1.45244 1.25855i −0.907486 0.420082i \(-0.862001\pi\)
−0.544954 0.838466i \(-0.683453\pi\)
\(282\) −4.10193 1.20444i −0.244266 0.0717231i
\(283\) −10.6306 + 6.83189i −0.631925 + 0.406113i −0.817022 0.576607i \(-0.804376\pi\)
0.185097 + 0.982720i \(0.440740\pi\)
\(284\) 0.888837 + 1.94628i 0.0527428 + 0.115491i
\(285\) −2.48462 + 2.15293i −0.147176 + 0.127529i
\(286\) −3.19964 2.05628i −0.189199 0.121591i
\(287\) 4.57973 18.2842i 0.270333 1.07928i
\(288\) −0.731859 + 5.09019i −0.0431252 + 0.299942i
\(289\) 4.41987 + 2.84048i 0.259992 + 0.167087i
\(290\) −0.220428 0.254387i −0.0129440 0.0149381i
\(291\) 1.64752 0.752399i 0.0965795 0.0441064i
\(292\) −3.88051 6.03819i −0.227089 0.353358i
\(293\) 10.8018 + 3.17170i 0.631050 + 0.185293i 0.581589 0.813483i \(-0.302431\pi\)
0.0494612 + 0.998776i \(0.484250\pi\)
\(294\) −4.15463 5.44764i −0.242303 0.317713i
\(295\) 12.7247 + 43.3365i 0.740863 + 2.52315i
\(296\) −15.9792 7.29746i −0.928773 0.424156i
\(297\) −0.592039 4.11772i −0.0343536 0.238934i
\(298\) 5.13340i 0.297370i
\(299\) −0.625308 + 4.43611i −0.0361625 + 0.256547i
\(300\) 6.64624i 0.383721i
\(301\) 0.295508 + 7.35182i 0.0170328 + 0.423752i
\(302\) −3.22547 + 7.06280i −0.185605 + 0.406419i
\(303\) −17.7341 + 5.20719i −1.01879 + 0.299145i
\(304\) 0.529686 0.611290i 0.0303796 0.0350599i
\(305\) −29.5952 8.68995i −1.69462 0.497585i
\(306\) −3.88413 + 2.49618i −0.222041 + 0.142697i
\(307\) 29.2438 13.3552i 1.66903 0.762222i 0.669216 0.743068i \(-0.266630\pi\)
0.999817 0.0191540i \(-0.00609729\pi\)
\(308\) 6.58352 + 9.39211i 0.375131 + 0.535165i
\(309\) 5.75880 8.96086i 0.327607 0.509766i
\(310\) 9.07785 + 1.30520i 0.515587 + 0.0741303i
\(311\) −7.85400 1.12924i −0.445360 0.0640331i −0.0840131 0.996465i \(-0.526774\pi\)
−0.361347 + 0.932432i \(0.617683\pi\)
\(312\) 2.33977 + 1.50368i 0.132463 + 0.0851289i
\(313\) −13.5484 15.6356i −0.765799 0.883779i 0.230200 0.973143i \(-0.426062\pi\)
−0.995999 + 0.0893642i \(0.971516\pi\)
\(314\) 6.16511 + 13.4997i 0.347917 + 0.761833i
\(315\) −4.03037 7.96246i −0.227086 0.448634i
\(316\) 3.07349 10.4673i 0.172897 0.588834i
\(317\) −8.11438 + 9.36449i −0.455749 + 0.525962i −0.936393 0.350954i \(-0.885857\pi\)
0.480644 + 0.876916i \(0.340403\pi\)
\(318\) −13.3396 + 3.91686i −0.748047 + 0.219646i
\(319\) 0.385825 + 0.176200i 0.0216021 + 0.00986533i
\(320\) 3.21289 + 22.3461i 0.179606 + 1.24919i
\(321\) 10.1806 0.568228
\(322\) −6.25943 + 10.7258i −0.348824 + 0.597728i
\(323\) −4.59786 −0.255832
\(324\) 0.148304 + 1.03148i 0.00823913 + 0.0573044i
\(325\) −5.41937 2.47495i −0.300613 0.137285i
\(326\) 19.3159 5.67166i 1.06981 0.314124i
\(327\) −2.15230 + 2.48388i −0.119022 + 0.137359i
\(328\) −5.97601 + 20.3524i −0.329970 + 1.12378i
\(329\) 10.3110 5.21914i 0.568464 0.287741i
\(330\) −5.70525 12.4928i −0.314064 0.687704i
\(331\) 1.43384 + 1.65474i 0.0788108 + 0.0909525i 0.793786 0.608198i \(-0.208107\pi\)
−0.714975 + 0.699150i \(0.753562\pi\)
\(332\) −3.33003 2.14008i −0.182759 0.117452i
\(333\) −5.83998 0.839663i −0.320029 0.0460132i
\(334\) 19.9188 + 2.86389i 1.08991 + 0.156705i
\(335\) −8.65900 + 13.4737i −0.473092 + 0.736145i
\(336\) 1.26029 + 1.79794i 0.0687546 + 0.0980859i
\(337\) −2.02445 + 0.924534i −0.110279 + 0.0503626i −0.469790 0.882778i \(-0.655671\pi\)
0.359512 + 0.933141i \(0.382943\pi\)
\(338\) −9.98521 + 6.41711i −0.543124 + 0.349045i
\(339\) −10.7726 3.16313i −0.585089 0.171798i
\(340\) 10.8589 12.5318i 0.588906 0.679634i
\(341\) −11.0886 + 3.25590i −0.600479 + 0.176317i
\(342\) 0.396276 0.867723i 0.0214281 0.0469211i
\(343\) 18.2685 + 3.04343i 0.986405 + 0.164330i
\(344\) 8.28001i 0.446428i
\(345\) −10.5597 + 12.2549i −0.568517 + 0.659780i
\(346\) 18.6305i 1.00158i
\(347\) 4.01678 + 27.9373i 0.215632 + 1.49975i 0.753905 + 0.656984i \(0.228168\pi\)
−0.538273 + 0.842771i \(0.680923\pi\)
\(348\) −0.0966483 0.0441378i −0.00518089 0.00236603i
\(349\) −8.02728 27.3384i −0.429690 1.46339i −0.835529 0.549446i \(-0.814839\pi\)
0.405839 0.913945i \(-0.366980\pi\)
\(350\) −11.3077 12.0369i −0.604424 0.643401i
\(351\) 0.896299 + 0.263177i 0.0478409 + 0.0140474i
\(352\) −11.5661 17.9972i −0.616474 0.959252i
\(353\) 16.3165 7.45152i 0.868442 0.396604i 0.0691924 0.997603i \(-0.477958\pi\)
0.799250 + 0.600999i \(0.205231\pi\)
\(354\) −8.58212 9.90429i −0.456134 0.526407i
\(355\) 5.82630 + 3.74433i 0.309228 + 0.198729i
\(356\) 2.08250 14.4841i 0.110372 0.767656i
\(357\) 3.03252 12.1071i 0.160498 0.640774i
\(358\) −1.68106 1.08035i −0.0888465 0.0570982i
\(359\) −1.42019 + 1.23060i −0.0749546 + 0.0649485i −0.691532 0.722346i \(-0.743064\pi\)
0.616578 + 0.787294i \(0.288519\pi\)
\(360\) 4.17202 + 9.13545i 0.219885 + 0.481481i
\(361\) −15.1847 + 9.75859i −0.799193 + 0.513610i
\(362\) −24.4126 7.16819i −1.28310 0.376752i
\(363\) 4.76586 + 4.12964i 0.250143 + 0.216750i
\(364\) −2.53252 + 0.468625i −0.132740 + 0.0245626i
\(365\) −21.1335 9.65134i −1.10618 0.505174i
\(366\) 8.85871 1.27369i 0.463052 0.0665769i
\(367\) −5.96399 −0.311318 −0.155659 0.987811i \(-0.549750\pi\)
−0.155659 + 0.987811i \(0.549750\pi\)
\(368\) 2.14248 3.35411i 0.111684 0.174845i
\(369\) 7.12426i 0.370874i
\(370\) −19.2799 + 2.77203i −1.00231 + 0.144111i
\(371\) 19.0325 32.4070i 0.988117 1.68249i
\(372\) 2.77766 0.815594i 0.144015 0.0422866i
\(373\) 16.5931 + 14.3780i 0.859157 + 0.744464i 0.968360 0.249556i \(-0.0802846\pi\)
−0.109204 + 0.994019i \(0.534830\pi\)
\(374\) 5.41132 18.4293i 0.279813 0.952955i
\(375\) −2.51265 3.90975i −0.129752 0.201899i
\(376\) −11.8300 + 5.40257i −0.610084 + 0.278616i
\(377\) −0.0719803 + 0.0623713i −0.00370717 + 0.00321229i
\(378\) 2.02352 + 1.61578i 0.104079 + 0.0831068i
\(379\) −19.5463 2.81034i −1.00403 0.144357i −0.379361 0.925249i \(-0.623856\pi\)
−0.624667 + 0.780891i \(0.714765\pi\)
\(380\) −0.487569 + 3.39111i −0.0250117 + 0.173960i
\(381\) −5.96637 + 9.28385i −0.305666 + 0.475626i
\(382\) 5.29376 4.58707i 0.270852 0.234695i
\(383\) −6.30295 13.8015i −0.322066 0.705226i 0.677474 0.735546i \(-0.263075\pi\)
−0.999540 + 0.0303204i \(0.990347\pi\)
\(384\) 2.01902 + 3.14166i 0.103033 + 0.160322i
\(385\) 34.3632 + 14.0539i 1.75131 + 0.716255i
\(386\) 13.1631 15.1911i 0.669986 0.773205i
\(387\) −0.783490 2.66832i −0.0398270 0.135638i
\(388\) 0.784065 1.71686i 0.0398048 0.0871605i
\(389\) 5.81051 0.835425i 0.294604 0.0423577i 0.00657203 0.999978i \(-0.497908\pi\)
0.288032 + 0.957621i \(0.406999\pi\)
\(390\) 3.08392 0.156161
\(391\) −22.3846 + 3.28159i −1.13204 + 0.165957i
\(392\) −20.4042 4.24782i −1.03057 0.214548i
\(393\) −2.28877 15.9188i −0.115453 0.802996i
\(394\) 5.34858 11.7118i 0.269457 0.590030i
\(395\) −9.94849 33.8814i −0.500563 1.70476i
\(396\) −3.27628 2.83892i −0.164640 0.142661i
\(397\) 3.90078 13.2848i 0.195775 0.666747i −0.801829 0.597554i \(-0.796139\pi\)
0.997603 0.0691930i \(-0.0220424\pi\)
\(398\) −12.9396 + 8.31580i −0.648606 + 0.416834i
\(399\) 0.825291 + 2.44307i 0.0413162 + 0.122307i
\(400\) 3.46608 + 4.00007i 0.173304 + 0.200003i
\(401\) −7.59502 + 11.8181i −0.379277 + 0.590167i −0.977441 0.211207i \(-0.932261\pi\)
0.598164 + 0.801374i \(0.295897\pi\)
\(402\) 0.661367 4.59991i 0.0329860 0.229423i
\(403\) 0.369313 2.56863i 0.0183968 0.127953i
\(404\) −10.4131 + 16.2031i −0.518070 + 0.806132i
\(405\) 2.20891 + 2.54922i 0.109762 + 0.126672i
\(406\) −0.250134 + 0.0844973i −0.0124139 + 0.00419353i
\(407\) 20.6482 13.2698i 1.02349 0.657758i
\(408\) −3.95708 + 13.4766i −0.195905 + 0.667190i
\(409\) −8.03770 6.96471i −0.397439 0.344383i 0.433098 0.901347i \(-0.357421\pi\)
−0.830536 + 0.556964i \(0.811966\pi\)
\(410\) 6.62628 + 22.5670i 0.327248 + 1.11451i
\(411\) 5.06981 11.1013i 0.250075 0.547588i
\(412\) −1.57971 10.9871i −0.0778266 0.541296i
\(413\) 35.2404 + 3.62933i 1.73406 + 0.178588i
\(414\) 1.30995 4.50733i 0.0643806 0.221523i
\(415\) −12.8129 −0.628961
\(416\) 4.75494 0.683657i 0.233130 0.0335191i
\(417\) 6.09751 13.3517i 0.298596 0.653835i
\(418\) 1.11803 + 3.80765i 0.0546845 + 0.186238i
\(419\) 3.15901 3.64569i 0.154328 0.178104i −0.673321 0.739350i \(-0.735133\pi\)
0.827648 + 0.561247i \(0.189678\pi\)
\(420\) −8.60790 3.52048i −0.420023 0.171782i
\(421\) 9.16291 + 14.2578i 0.446573 + 0.694881i 0.989441 0.144937i \(-0.0462980\pi\)
−0.542868 + 0.839818i \(0.682662\pi\)
\(422\) −1.78783 3.91481i −0.0870303 0.190570i
\(423\) −3.30112 + 2.86044i −0.160506 + 0.139079i
\(424\) −22.8655 + 35.5794i −1.11045 + 1.72789i
\(425\) 4.28179 29.7805i 0.207697 1.44457i
\(426\) −1.98910 0.285989i −0.0963721 0.0138562i
\(427\) −15.0963 + 18.9058i −0.730560 + 0.914917i
\(428\) 8.01783 6.94749i 0.387557 0.335820i
\(429\) −3.53490 + 1.61433i −0.170666 + 0.0779407i
\(430\) −4.96361 7.72353i −0.239367 0.372462i
\(431\) −7.36751 + 25.0914i −0.354881 + 1.20861i 0.567839 + 0.823140i \(0.307780\pi\)
−0.922719 + 0.385472i \(0.874038\pi\)
\(432\) −0.627184 0.543458i −0.0301754 0.0261471i
\(433\) 19.1422 5.62066i 0.919915 0.270112i 0.212707 0.977116i \(-0.431772\pi\)
0.707209 + 0.707005i \(0.249954\pi\)
\(434\) 3.64296 6.20295i 0.174868 0.297751i
\(435\) −0.340417 + 0.0489446i −0.0163217 + 0.00234671i
\(436\) 3.42497i 0.164026i
\(437\) 3.52412 3.07076i 0.168582 0.146895i
\(438\) 6.74123 0.322108
\(439\) −13.6656 + 1.96482i −0.652223 + 0.0937756i −0.460481 0.887670i \(-0.652323\pi\)
−0.191743 + 0.981445i \(0.561414\pi\)
\(440\) −38.0041 17.3559i −1.81177 0.827409i
\(441\) −6.97742 + 0.561826i −0.332258 + 0.0267536i
\(442\) 3.25953 + 2.82440i 0.155040 + 0.134343i
\(443\) 9.24209 + 2.71372i 0.439105 + 0.128933i 0.493810 0.869570i \(-0.335604\pi\)
−0.0547053 + 0.998503i \(0.517422\pi\)
\(444\) −5.17232 + 3.32405i −0.245467 + 0.157752i
\(445\) −19.6763 43.0850i −0.932745 2.04243i
\(446\) −16.8314 + 14.5845i −0.796990 + 0.690595i
\(447\) −4.41234 2.83564i −0.208696 0.134121i
\(448\) 17.1772 + 4.30245i 0.811545 + 0.203272i
\(449\) 0.948365 6.59603i 0.0447561 0.311286i −0.955130 0.296187i \(-0.904285\pi\)
0.999886 0.0150984i \(-0.00480616\pi\)
\(450\) 5.25125 + 3.37477i 0.247546 + 0.159088i
\(451\) −19.4084 22.3984i −0.913904 1.05470i
\(452\) −10.6426 + 4.86033i −0.500588 + 0.228611i
\(453\) 4.28901 + 6.67383i 0.201515 + 0.313564i
\(454\) 5.81607 + 1.70775i 0.272962 + 0.0801488i
\(455\) −6.07605 + 5.70796i −0.284849 + 0.267593i
\(456\) −0.817568 2.78438i −0.0382861 0.130391i
\(457\) 2.51421 + 1.14820i 0.117610 + 0.0537106i 0.473351 0.880874i \(-0.343044\pi\)
−0.355741 + 0.934585i \(0.615772\pi\)
\(458\) −0.619861 4.31123i −0.0289642 0.201451i
\(459\) 4.71740i 0.220190i
\(460\) 0.0465910 + 16.8576i 0.00217232 + 0.785989i
\(461\) 5.53739i 0.257902i 0.991651 + 0.128951i \(0.0411610\pi\)
−0.991651 + 0.128951i \(0.958839\pi\)
\(462\) −10.7637 + 0.432650i −0.500773 + 0.0201287i
\(463\) 3.54806 7.76916i 0.164892 0.361064i −0.809091 0.587683i \(-0.800040\pi\)
0.973983 + 0.226620i \(0.0727674\pi\)
\(464\) 0.0811865 0.0238385i 0.00376899 0.00110667i
\(465\) 6.13638 7.08176i 0.284568 0.328409i
\(466\) −0.910248 0.267273i −0.0421664 0.0123812i
\(467\) −2.16487 + 1.39128i −0.100178 + 0.0643806i −0.589771 0.807571i \(-0.700782\pi\)
0.489593 + 0.871951i \(0.337146\pi\)
\(468\) 0.885483 0.404387i 0.0409315 0.0186928i
\(469\) 7.21081 + 10.2870i 0.332964 + 0.475009i
\(470\) −7.79623 + 12.1312i −0.359613 + 0.559569i
\(471\) 15.0090 + 2.15797i 0.691579 + 0.0994341i
\(472\) −39.4615 5.67371i −1.81636 0.261154i
\(473\) 9.73247 + 6.25468i 0.447500 + 0.287590i
\(474\) 6.70969 + 7.74340i 0.308186 + 0.355666i
\(475\) 2.58230 + 5.65445i 0.118484 + 0.259444i
\(476\) −5.87385 11.6045i −0.269227 0.531889i
\(477\) −4.00198 + 13.6295i −0.183238 + 0.624051i
\(478\) 8.91404 10.2874i 0.407719 0.470532i
\(479\) −27.5418 + 8.08699i −1.25842 + 0.369504i −0.841905 0.539626i \(-0.818566\pi\)
−0.416511 + 0.909131i \(0.636747\pi\)
\(480\) 15.7787 + 7.20591i 0.720198 + 0.328903i
\(481\) 0.784361 + 5.45535i 0.0357638 + 0.248743i
\(482\) 2.24045 0.102050
\(483\) 5.76160 + 11.3050i 0.262162 + 0.514397i
\(484\) 6.57154 0.298706
\(485\) −0.869452 6.04717i −0.0394798 0.274588i
\(486\) −0.890285 0.406579i −0.0403841 0.0184428i
\(487\) 11.6624 3.42440i 0.528475 0.155174i −0.00660114 0.999978i \(-0.502101\pi\)
0.535076 + 0.844804i \(0.320283\pi\)
\(488\) 17.8293 20.5761i 0.807094 0.931436i
\(489\) 5.79492 19.7357i 0.262055 0.892478i
\(490\) −21.5793 + 8.26936i −0.974855 + 0.373571i
\(491\) 11.4794 + 25.1363i 0.518056 + 1.13438i 0.970170 + 0.242424i \(0.0779426\pi\)
−0.452114 + 0.891960i \(0.649330\pi\)
\(492\) 4.86175 + 5.61076i 0.219185 + 0.252952i
\(493\) −0.404627 0.260038i −0.0182235 0.0117115i
\(494\) −0.882030 0.126817i −0.0396844 0.00570576i
\(495\) −13.8895 1.99701i −0.624286 0.0897588i
\(496\) −1.24641 + 1.93944i −0.0559653 + 0.0870836i
\(497\) 4.44831 3.11811i 0.199534 0.139866i
\(498\) 3.38179 1.54441i 0.151542 0.0692068i
\(499\) −3.56332 + 2.29001i −0.159516 + 0.102515i −0.617964 0.786207i \(-0.712042\pi\)
0.458447 + 0.888722i \(0.348406\pi\)
\(500\) −4.64695 1.36447i −0.207818 0.0610209i
\(501\) 13.4646 15.5389i 0.601552 0.694228i
\(502\) −22.7952 + 6.69329i −1.01740 + 0.298736i
\(503\) −7.72261 + 16.9102i −0.344334 + 0.753986i −0.999999 0.00106518i \(-0.999661\pi\)
0.655665 + 0.755052i \(0.272388\pi\)
\(504\) 7.87106 0.316379i 0.350605 0.0140927i
\(505\) 62.3442i 2.77428i
\(506\) 8.16071 + 17.7396i 0.362788 + 0.788619i
\(507\) 12.1274i 0.538596i
\(508\) 1.63665 + 11.3831i 0.0726145 + 0.505045i
\(509\) −13.1070 5.98578i −0.580959 0.265315i 0.103185 0.994662i \(-0.467097\pi\)
−0.684144 + 0.729347i \(0.739824\pi\)
\(510\) 4.38766 + 14.9430i 0.194289 + 0.661687i
\(511\) −13.2818 + 12.4772i −0.587551 + 0.551957i
\(512\) −8.83642 2.59461i −0.390518 0.114666i
\(513\) −0.526940 0.819935i −0.0232650 0.0362010i
\(514\) 6.03345 2.75539i 0.266124 0.121535i
\(515\) −23.5289 27.1538i −1.03681 1.19654i
\(516\) −2.43796 1.56678i −0.107325 0.0689738i
\(517\) 2.58603 17.9862i 0.113733 0.791033i
\(518\) −3.71209 + 14.8202i −0.163100 + 0.651162i
\(519\) 16.0135 + 10.2913i 0.702916 + 0.451737i
\(520\) 7.09011 6.14362i 0.310922 0.269415i
\(521\) 8.16253 + 17.8734i 0.357607 + 0.783050i 0.999863 + 0.0165595i \(0.00527130\pi\)
−0.642256 + 0.766490i \(0.722001\pi\)
\(522\) 0.0839489 0.0539507i 0.00367434 0.00236136i
\(523\) 25.5672 + 7.50719i 1.11797 + 0.328267i 0.787970 0.615713i \(-0.211132\pi\)
0.330003 + 0.943980i \(0.392950\pi\)
\(524\) −12.6659 10.9750i −0.553310 0.479446i
\(525\) −16.5925 + 3.07032i −0.724154 + 0.134000i
\(526\) 0.216284 + 0.0987738i 0.00943045 + 0.00430674i
\(527\) 12.9716 1.86503i 0.565052 0.0812422i
\(528\) 3.45237 0.150245
\(529\) 14.9655 17.4652i 0.650673 0.759358i
\(530\) 46.8954i 2.03701i
\(531\) −13.2538 + 1.90560i −0.575164 + 0.0826962i
\(532\) 2.31717 + 1.36086i 0.100462 + 0.0590008i
\(533\) 6.38547 1.87494i 0.276585 0.0812128i
\(534\) 10.3866 + 9.00002i 0.449471 + 0.389469i
\(535\) 9.67480 32.9493i 0.418278 1.42452i
\(536\) −7.64316 11.8930i −0.330134 0.513699i
\(537\) −1.85720 + 0.848153i −0.0801439 + 0.0366005i
\(538\) 2.29333 1.98718i 0.0988723 0.0856733i
\(539\) 20.4062 20.7747i 0.878957 0.894829i
\(540\) 3.47929 + 0.500246i 0.149725 + 0.0215272i
\(541\) 3.86962 26.9138i 0.166368 1.15711i −0.719947 0.694029i \(-0.755834\pi\)
0.886314 0.463084i \(-0.153257\pi\)
\(542\) −3.62112 + 5.63457i −0.155540 + 0.242026i
\(543\) −19.6466 + 17.0239i −0.843116 + 0.730564i
\(544\) 10.0777 + 22.0671i 0.432079 + 0.946121i
\(545\) 5.99365 + 9.32630i 0.256740 + 0.399495i
\(546\) 0.915677 2.23892i 0.0391874 0.0958169i
\(547\) −7.51994 + 8.67847i −0.321529 + 0.371065i −0.893387 0.449288i \(-0.851678\pi\)
0.571857 + 0.820353i \(0.306223\pi\)
\(548\) −3.58303 12.2027i −0.153059 0.521272i
\(549\) 3.79868 8.31795i 0.162124 0.355001i
\(550\) −25.7035 + 3.69561i −1.09600 + 0.157581i
\(551\) 0.0993750 0.00423352
\(552\) −5.96760 12.9722i −0.253998 0.552134i
\(553\) −27.5517 2.83749i −1.17162 0.120662i
\(554\) 4.11220 + 28.6010i 0.174711 + 1.21514i
\(555\) −8.26735 + 18.1030i −0.350930 + 0.768429i
\(556\) −4.30934 14.6763i −0.182757 0.622413i
\(557\) −24.4727 21.2057i −1.03694 0.898515i −0.0420144 0.999117i \(-0.513378\pi\)
−0.994927 + 0.100602i \(0.967923\pi\)
\(558\) −0.766009 + 2.60879i −0.0324277 + 0.110439i
\(559\) −2.18542 + 1.40448i −0.0924333 + 0.0594032i
\(560\) 7.01666 2.37029i 0.296508 0.100163i
\(561\) −12.8514 14.8314i −0.542589 0.626181i
\(562\) 17.0469 26.5255i 0.719081 1.11891i
\(563\) −2.91845 + 20.2983i −0.122998 + 0.855469i 0.831132 + 0.556076i \(0.187693\pi\)
−0.954130 + 0.299394i \(0.903216\pi\)
\(564\) −0.647794 + 4.50551i −0.0272771 + 0.189716i
\(565\) −20.4747 + 31.8593i −0.861379 + 1.34033i
\(566\) −8.09923 9.34701i −0.340436 0.392884i
\(567\) 2.50659 0.846749i 0.105267 0.0355601i
\(568\) −5.14278 + 3.30506i −0.215786 + 0.138677i
\(569\) 11.3387 38.6161i 0.475343 1.61887i −0.277539 0.960714i \(-0.589519\pi\)
0.752882 0.658155i \(-0.228663\pi\)
\(570\) −2.43177 2.10714i −0.101856 0.0882585i
\(571\) 0.303351 + 1.03312i 0.0126948 + 0.0432346i 0.965597 0.260044i \(-0.0837370\pi\)
−0.952902 + 0.303278i \(0.901919\pi\)
\(572\) −1.68227 + 3.68367i −0.0703394 + 0.154022i
\(573\) −1.01853 7.08402i −0.0425496 0.295939i
\(574\) 18.3511 + 1.88994i 0.765958 + 0.0788844i
\(575\) 16.6076 + 25.6856i 0.692585 + 1.07116i
\(576\) −6.69292 −0.278872
\(577\) 16.2815 2.34092i 0.677807 0.0974539i 0.205190 0.978722i \(-0.434219\pi\)
0.472617 + 0.881268i \(0.343310\pi\)
\(578\) −2.13613 + 4.67747i −0.0888513 + 0.194557i
\(579\) −5.78608 19.7056i −0.240461 0.818936i
\(580\) −0.234697 + 0.270854i −0.00974525 + 0.0112466i
\(581\) −3.80440 + 9.30212i −0.157833 + 0.385917i
\(582\) 0.958380 + 1.49127i 0.0397261 + 0.0618151i
\(583\) −24.5482 53.7531i −1.01668 2.22622i
\(584\) 15.4985 13.4295i 0.641331 0.555716i
\(585\) 1.70353 2.65074i 0.0704322 0.109595i
\(586\) −1.56808 + 10.9063i −0.0647769 + 0.450533i
\(587\) 26.8061 + 3.85414i 1.10641 + 0.159077i 0.671217 0.741261i \(-0.265772\pi\)
0.435190 + 0.900339i \(0.356681\pi\)
\(588\) −5.11171 + 5.20401i −0.210803 + 0.214610i
\(589\) −2.04627 + 1.77311i −0.0843152 + 0.0730596i
\(590\) −40.2106 + 18.3636i −1.65545 + 0.756017i
\(591\) −7.11217 11.0667i −0.292555 0.455225i
\(592\) 1.37946 4.69801i 0.0566954 0.193087i
\(593\) −13.4697 11.6716i −0.553136 0.479295i 0.332868 0.942974i \(-0.391984\pi\)
−0.886003 + 0.463679i \(0.846529\pi\)
\(594\) 3.90665 1.14710i 0.160292 0.0470660i
\(595\) −36.3023 21.3202i −1.48825 0.874041i
\(596\) −5.41007 + 0.777850i −0.221605 + 0.0318620i
\(597\) 15.7156i 0.643199i
\(598\) −4.38467 + 0.0121183i −0.179302 + 0.000495556i
\(599\) −2.13529 −0.0872457 −0.0436229 0.999048i \(-0.513890\pi\)
−0.0436229 + 0.999048i \(0.513890\pi\)
\(600\) 18.7959 2.70245i 0.767341 0.110327i
\(601\) 30.1431 + 13.7659i 1.22956 + 0.561522i 0.920956 0.389667i \(-0.127410\pi\)
0.308607 + 0.951190i \(0.400137\pi\)
\(602\) −7.08105 + 1.31030i −0.288602 + 0.0534038i
\(603\) −3.58845 3.10941i −0.146133 0.126625i
\(604\) 7.93220 + 2.32910i 0.322757 + 0.0947699i
\(605\) 17.8945 11.5001i 0.727515 0.467545i
\(606\) −7.51470 16.4549i −0.305264 0.668434i
\(607\) −1.04977 + 0.909630i −0.0426088 + 0.0369207i −0.675905 0.736989i \(-0.736247\pi\)
0.633296 + 0.773910i \(0.281702\pi\)
\(608\) −4.21654 2.70981i −0.171003 0.109897i
\(609\) −0.0655428 + 0.261674i −0.00265593 + 0.0106036i
\(610\) 4.29629 29.8813i 0.173952 1.20986i
\(611\) 3.43258 + 2.20599i 0.138867 + 0.0892447i
\(612\) 3.21926 + 3.71522i 0.130131 + 0.150179i
\(613\) 36.5231 16.6795i 1.47515 0.673680i 0.494455 0.869203i \(-0.335368\pi\)
0.980699 + 0.195523i \(0.0626403\pi\)
\(614\) 17.0114 + 26.4703i 0.686525 + 1.06825i
\(615\) 23.0574 + 6.77028i 0.929766 + 0.273004i
\(616\) −23.8844 + 22.4375i −0.962332 + 0.904033i
\(617\) −3.78362 12.8858i −0.152323 0.518763i 0.847607 0.530625i \(-0.178043\pi\)
−0.999930 + 0.0118611i \(0.996224\pi\)
\(618\) 9.48313 + 4.33080i 0.381468 + 0.174210i
\(619\) −2.66440 18.5313i −0.107091 0.744836i −0.970634 0.240561i \(-0.922669\pi\)
0.863543 0.504276i \(-0.168240\pi\)
\(620\) 9.76488i 0.392167i
\(621\) −3.15061 3.61575i −0.126430 0.145095i
\(622\) 7.76600i 0.311388i
\(623\) −37.1219 + 1.49212i −1.48726 + 0.0597807i
\(624\) −0.322040 + 0.705170i −0.0128919 + 0.0282294i
\(625\) 15.5558 4.56759i 0.622231 0.182704i
\(626\) 13.2602 15.3031i 0.529984 0.611634i
\(627\) 3.89040 + 1.14232i 0.155368 + 0.0456200i
\(628\) 13.2931 8.54295i 0.530452 0.340901i
\(629\) −25.3177 + 11.5622i −1.00948 + 0.461015i
\(630\) 7.15240 5.01357i 0.284959 0.199746i
\(631\) −7.04772 + 10.9665i −0.280565 + 0.436568i −0.952723 0.303840i \(-0.901731\pi\)
0.672158 + 0.740408i \(0.265368\pi\)
\(632\) 30.8519 + 4.43584i 1.22722 + 0.176448i
\(633\) −4.35249 0.625794i −0.172996 0.0248731i
\(634\) −10.2023 6.55659i −0.405183 0.260396i
\(635\) 24.3770 + 28.1325i 0.967370 + 1.11640i
\(636\) 6.14927 + 13.4650i 0.243834 + 0.533923i
\(637\) 2.33986 + 6.10599i 0.0927086 + 0.241928i
\(638\) −0.116957 + 0.398318i −0.00463036 + 0.0157696i
\(639\) −1.34458 + 1.55172i −0.0531906 + 0.0613852i
\(640\) 12.0866 3.54894i 0.477765 0.140284i
\(641\) 34.3713 + 15.6969i 1.35759 + 0.619988i 0.955331 0.295539i \(-0.0954994\pi\)
0.402255 + 0.915528i \(0.368227\pi\)
\(642\) 1.41804 + 9.86269i 0.0559656 + 0.389249i
\(643\) −25.2379 −0.995286 −0.497643 0.867382i \(-0.665801\pi\)
−0.497643 + 0.867382i \(0.665801\pi\)
\(644\) 12.2524 + 4.97152i 0.482812 + 0.195905i
\(645\) −9.38050 −0.369357
\(646\) −0.640426 4.45426i −0.0251972 0.175250i
\(647\) 22.5824 + 10.3130i 0.887804 + 0.405446i 0.806494 0.591242i \(-0.201362\pi\)
0.0813100 + 0.996689i \(0.474090\pi\)
\(648\) −2.85678 + 0.838826i −0.112225 + 0.0329522i
\(649\) 36.4780 42.0979i 1.43189 1.65249i
\(650\) 1.64280 5.59485i 0.0644358 0.219448i
\(651\) −3.31932 6.55770i −0.130094 0.257016i
\(652\) −8.90422 19.4975i −0.348716 0.763582i
\(653\) 21.7649 + 25.1180i 0.851725 + 0.982943i 0.999982 0.00600547i \(-0.00191161\pi\)
−0.148257 + 0.988949i \(0.547366\pi\)
\(654\) −2.70610 1.73910i −0.105817 0.0680043i
\(655\) −53.6957 7.72027i −2.09806 0.301656i
\(656\) −5.85213 0.841409i −0.228487 0.0328515i
\(657\) 3.72379 5.79432i 0.145279 0.226058i
\(658\) 6.49234 + 9.26202i 0.253098 + 0.361071i
\(659\) −21.3124 + 9.73304i −0.830213 + 0.379146i −0.784744 0.619820i \(-0.787206\pi\)
−0.0454691 + 0.998966i \(0.514478\pi\)
\(660\) −12.3016 + 7.90573i −0.478838 + 0.307730i
\(661\) 16.5846 + 4.86968i 0.645067 + 0.189409i 0.587872 0.808954i \(-0.299966\pi\)
0.0571953 + 0.998363i \(0.481784\pi\)
\(662\) −1.40334 + 1.61954i −0.0545424 + 0.0629453i
\(663\) 4.22820 1.24151i 0.164210 0.0482164i
\(664\) 4.69824 10.2877i 0.182327 0.399240i
\(665\) 8.69121 0.349346i 0.337031 0.0135470i
\(666\) 5.77455i 0.223759i
\(667\) 0.483806 0.0709261i 0.0187330 0.00274627i
\(668\) 21.4263i 0.829008i
\(669\) 3.23839 + 22.5235i 0.125203 + 0.870809i
\(670\) −14.2590 6.51185i −0.550872 0.251575i
\(671\) 10.7174 + 36.5000i 0.413739 + 1.40906i
\(672\) 9.91648 9.31574i 0.382537 0.359362i
\(673\) −13.3088 3.90780i −0.513015 0.150635i 0.0149710 0.999888i \(-0.495234\pi\)
−0.527986 + 0.849253i \(0.677053\pi\)
\(674\) −1.17764 1.83244i −0.0453610 0.0705831i
\(675\) 5.80147 2.64944i 0.223299 0.101977i
\(676\) 8.27599 + 9.55100i 0.318307 + 0.367346i
\(677\) −26.1202 16.7864i −1.00388 0.645154i −0.0680773 0.997680i \(-0.521686\pi\)
−0.935802 + 0.352526i \(0.885323\pi\)
\(678\) 1.56384 10.8768i 0.0600591 0.417720i
\(679\) −4.64838 1.16430i −0.178389 0.0446819i
\(680\) 39.8561 + 25.6139i 1.52841 + 0.982249i
\(681\) 4.68061 4.05577i 0.179361 0.155418i
\(682\) −4.69871 10.2887i −0.179923 0.393976i
\(683\) 38.5492 24.7740i 1.47504 0.947952i 0.477446 0.878661i \(-0.341563\pi\)
0.997596 0.0692914i \(-0.0220738\pi\)
\(684\) −0.974536 0.286150i −0.0372623 0.0109412i
\(685\) −31.1112 26.9580i −1.18870 1.03001i
\(686\) −0.403798 + 18.1218i −0.0154171 + 0.691895i
\(687\) −4.04806 1.84869i −0.154443 0.0705318i
\(688\) 2.28439 0.328446i 0.0870915 0.0125219i
\(689\) 13.2693 0.505521
\(690\) −13.3430 8.52299i −0.507958 0.324465i
\(691\) 12.1253i 0.461268i 0.973041 + 0.230634i \(0.0740800\pi\)
−0.973041 + 0.230634i \(0.925920\pi\)
\(692\) 19.6346 2.82302i 0.746394 0.107315i
\(693\) −5.57388 + 9.49077i −0.211734 + 0.360525i
\(694\) −26.5053 + 7.78266i −1.00613 + 0.295426i
\(695\) −37.4178 32.4227i −1.41934 1.22986i
\(696\) 0.0855257 0.291274i 0.00324184 0.0110407i
\(697\) 18.1699 + 28.2729i 0.688233 + 1.07091i
\(698\) 25.3665 11.5845i 0.960136 0.438479i
\(699\) −0.732542 + 0.634751i −0.0277073 + 0.0240085i
\(700\) −10.9722 + 13.7411i −0.414712 + 0.519364i
\(701\) 42.9599 + 6.17670i 1.62257 + 0.233291i 0.892818 0.450419i \(-0.148725\pi\)
0.729755 + 0.683709i \(0.239634\pi\)
\(702\) −0.130114 + 0.904963i −0.00491084 + 0.0341556i
\(703\) 3.10897 4.83764i 0.117257 0.182455i
\(704\) 21.0423 18.2333i 0.793062 0.687192i
\(705\) 6.12061 + 13.4023i 0.230516 + 0.504759i
\(706\) 9.49149 + 14.7690i 0.357217 + 0.555840i
\(707\) 45.2616 + 18.5112i 1.70224 + 0.696185i
\(708\) −9.13766 + 10.5454i −0.343414 + 0.396321i
\(709\) 5.52281 + 18.8090i 0.207414 + 0.706386i 0.995829 + 0.0912421i \(0.0290837\pi\)
−0.788415 + 0.615143i \(0.789098\pi\)
\(710\) −2.81586 + 6.16587i −0.105677 + 0.231401i
\(711\) 10.3621 1.48984i 0.388609 0.0558735i
\(712\) 41.8086 1.56684
\(713\) −8.69676 + 10.0928i −0.325696 + 0.377979i
\(714\) 12.1513 + 1.25144i 0.454753 + 0.0468340i
\(715\) 1.86548 + 12.9747i 0.0697650 + 0.485226i
\(716\) −0.883848 + 1.93536i −0.0330310 + 0.0723277i
\(717\) −3.91832 13.3446i −0.146332 0.498362i
\(718\) −1.38998 1.20442i −0.0518736 0.0449487i
\(719\) 7.11859 24.2437i 0.265479 0.904137i −0.713582 0.700571i \(-0.752929\pi\)
0.979061 0.203566i \(-0.0652532\pi\)
\(720\) −2.35491 + 1.51341i −0.0877621 + 0.0564013i
\(721\) −26.6997 + 9.01941i −0.994350 + 0.335900i
\(722\) −11.5689 13.3512i −0.430548 0.496879i
\(723\) 1.23760 1.92574i 0.0460268 0.0716192i
\(724\) −3.85534 + 26.8145i −0.143283 + 0.996554i
\(725\) −0.0925438 + 0.643656i −0.00343699 + 0.0239048i
\(726\) −3.33684 + 5.19222i −0.123842 + 0.192701i
\(727\) 32.9821 + 38.0634i 1.22324 + 1.41169i 0.881691 + 0.471827i \(0.156405\pi\)
0.341546 + 0.939865i \(0.389049\pi\)
\(728\) −2.35505 6.97156i −0.0872841 0.258383i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 6.40628 21.8178i 0.237107 0.807512i
\(731\) −9.91465 8.59109i −0.366706 0.317753i
\(732\) −2.68467 9.14315i −0.0992283 0.337941i
\(733\) −10.9005 + 23.8689i −0.402621 + 0.881617i 0.594377 + 0.804187i \(0.297399\pi\)
−0.996998 + 0.0774303i \(0.975328\pi\)
\(734\) −0.830711 5.77772i −0.0306621 0.213260i
\(735\) −4.81240 + 23.1161i −0.177508 + 0.852650i
\(736\) −22.4622 10.1832i −0.827969 0.375359i
\(737\) 19.7528 0.727605
\(738\) −6.90176 + 0.992323i −0.254057 + 0.0365279i
\(739\) −7.16587 + 15.6911i −0.263601 + 0.577206i −0.994435 0.105349i \(-0.966404\pi\)
0.730834 + 0.682555i \(0.239131\pi\)
\(740\) 5.84285 + 19.8989i 0.214788 + 0.731499i
\(741\) −0.596228 + 0.688084i −0.0219030 + 0.0252774i
\(742\) 34.0459 + 13.9242i 1.24986 + 0.511172i
\(743\) 15.9313 + 24.7896i 0.584464 + 0.909444i 1.00000 0.000132822i \(-4.22785e-5\pi\)
−0.415536 + 0.909577i \(0.636406\pi\)
\(744\) 3.43598 + 7.52374i 0.125969 + 0.275834i
\(745\) −13.3706 + 11.5857i −0.489859 + 0.424465i
\(746\) −11.6177 + 18.0775i −0.425355 + 0.661865i
\(747\) 0.540590 3.75989i 0.0197792 0.137567i
\(748\) −20.2425 2.91043i −0.740138 0.106416i
\(749\) −21.0485 16.8072i −0.769094 0.614121i
\(750\) 3.43767 2.97875i 0.125526 0.108769i
\(751\) −5.45997 + 2.49349i −0.199237 + 0.0909886i −0.512535 0.858666i \(-0.671293\pi\)
0.313298 + 0.949655i \(0.398566\pi\)
\(752\) −1.95979 3.04949i −0.0714661 0.111203i
\(753\) −6.83874 + 23.2906i −0.249218 + 0.848757i
\(754\) −0.0704493 0.0610447i −0.00256561 0.00222312i
\(755\) 25.6755 7.53902i 0.934428 0.274373i
\(756\) 1.39624 2.37742i 0.0507809 0.0864658i
\(757\) −25.4067 + 3.65293i −0.923420 + 0.132768i −0.587594 0.809156i \(-0.699925\pi\)
−0.335827 + 0.941924i \(0.609016\pi\)
\(758\) 19.3273i 0.702000i
\(759\) 19.7557 + 2.78473i 0.717085 + 0.101079i
\(760\) −9.78851 −0.355067
\(761\) 30.7481 4.42090i 1.11462 0.160258i 0.439695 0.898147i \(-0.355087\pi\)
0.674921 + 0.737890i \(0.264177\pi\)
\(762\) −9.82494 4.48690i −0.355920 0.162543i
\(763\) 8.55049 1.58221i 0.309549 0.0572798i
\(764\) −5.63644 4.88400i −0.203919 0.176697i
\(765\) 15.2677 + 4.48301i 0.552006 + 0.162084i
\(766\) 12.4926 8.02849i 0.451375 0.290081i
\(767\) 5.19608 + 11.3778i 0.187619 + 0.410829i
\(768\) −12.8787 + 11.1594i −0.464719 + 0.402681i
\(769\) −32.4432 20.8500i −1.16993 0.751869i −0.196422 0.980519i \(-0.562932\pi\)
−0.973509 + 0.228651i \(0.926569\pi\)
\(770\) −8.82863 + 35.2475i −0.318162 + 1.27023i
\(771\) 0.964466 6.70801i 0.0347344 0.241583i
\(772\) −18.0044 11.5707i −0.647991 0.416439i
\(773\) −19.8510