Properties

Label 462.2.bc.b.107.4
Level $462$
Weight $2$
Character 462.107
Analytic conductor $3.689$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.bc (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 107.4
Character \(\chi\) \(=\) 462.107
Dual form 462.2.bc.b.95.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.104528 - 0.994522i) q^{2} +(-1.29320 - 1.15223i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(0.572012 + 1.28476i) q^{5} +(-1.01074 + 1.40656i) q^{6} +(2.51605 - 0.818231i) q^{7} +(0.309017 + 0.951057i) q^{8} +(0.344742 + 2.98013i) q^{9} +O(q^{10})\) \(q+(-0.104528 - 0.994522i) q^{2} +(-1.29320 - 1.15223i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(0.572012 + 1.28476i) q^{5} +(-1.01074 + 1.40656i) q^{6} +(2.51605 - 0.818231i) q^{7} +(0.309017 + 0.951057i) q^{8} +(0.344742 + 2.98013i) q^{9} +(1.21793 - 0.703172i) q^{10} +(1.92213 - 2.70286i) q^{11} +(1.50450 + 0.858177i) q^{12} +(2.90286 + 3.99544i) q^{13} +(-1.07675 - 2.41674i) q^{14} +(0.740609 - 2.32054i) q^{15} +(0.913545 - 0.406737i) q^{16} +(0.333610 - 3.17409i) q^{17} +(2.92777 - 0.654361i) q^{18} +(0.221853 - 1.04374i) q^{19} +(-0.826629 - 1.13776i) q^{20} +(-4.19655 - 1.84092i) q^{21} +(-2.88897 - 1.62907i) q^{22} +(-2.41806 - 1.39607i) q^{23} +(0.696212 - 1.58597i) q^{24} +(2.02224 - 2.24593i) q^{25} +(3.67012 - 3.30459i) q^{26} +(2.98796 - 4.25113i) q^{27} +(-2.29095 + 1.32347i) q^{28} +(-0.161674 + 0.497582i) q^{29} +(-2.38524 - 0.493989i) q^{30} +(0.793258 + 0.353181i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-5.60000 + 1.28061i) q^{33} -3.19158 q^{34} +(2.49044 + 2.76448i) q^{35} +(-0.956812 - 2.84333i) q^{36} +(-3.96808 - 4.40700i) q^{37} +(-1.06121 - 0.111537i) q^{38} +(0.849678 - 8.51167i) q^{39} +(-1.04512 + 0.941028i) q^{40} +(3.44048 + 10.5887i) q^{41} +(-1.39218 + 4.36599i) q^{42} -6.81857i q^{43} +(-1.31817 + 3.04342i) q^{44} +(-3.63155 + 2.14758i) q^{45} +(-1.13567 + 2.55075i) q^{46} +(1.42258 - 6.69270i) q^{47} +(-1.65005 - 0.526620i) q^{48} +(5.66099 - 4.11742i) q^{49} +(-2.44501 - 1.77640i) q^{50} +(-4.08870 + 3.72035i) q^{51} +(-3.67012 - 3.30459i) q^{52} +(-0.170681 + 0.383356i) q^{53} +(-4.54017 - 2.52723i) q^{54} +(4.57200 + 0.923404i) q^{55} +(1.55569 + 2.14006i) q^{56} +(-1.48952 + 1.09414i) q^{57} +(0.511755 + 0.108777i) q^{58} +(2.03583 + 9.57781i) q^{59} +(-0.241957 + 2.42381i) q^{60} +(-3.13938 - 7.05115i) q^{61} +(0.268328 - 0.825830i) q^{62} +(3.30582 + 7.21606i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(-3.47271 + 6.01492i) q^{65} +(1.85896 + 5.43547i) q^{66} +(3.24562 + 5.62158i) q^{67} +(0.333610 + 3.17409i) q^{68} +(1.51845 + 4.59156i) q^{69} +(2.48901 - 2.76576i) q^{70} +(1.01035 - 1.39063i) q^{71} +(-2.72774 + 1.24878i) q^{72} +(0.649602 + 3.05614i) q^{73} +(-3.96808 + 4.40700i) q^{74} +(-5.20299 + 0.574354i) q^{75} +1.06705i q^{76} +(2.62460 - 8.37326i) q^{77} +(-8.55386 + 0.0446884i) q^{78} +(7.75852 - 0.815454i) q^{79} +(1.04512 + 0.941028i) q^{80} +(-8.76231 + 2.05475i) q^{81} +(10.1711 - 4.52845i) q^{82} +(9.70225 + 7.04910i) q^{83} +(4.48759 + 0.928182i) q^{84} +(4.26878 - 1.38701i) q^{85} +(-6.78121 + 0.712734i) q^{86} +(0.782405 - 0.457188i) q^{87} +(3.16454 + 0.992822i) q^{88} +(-1.89178 - 1.09222i) q^{89} +(2.51541 + 3.38717i) q^{90} +(10.5729 + 7.67752i) q^{91} +(2.65548 + 0.862818i) q^{92} +(-0.618897 - 1.37075i) q^{93} +(-6.80474 - 0.715207i) q^{94} +(1.46785 - 0.312002i) q^{95} +(-0.351258 + 1.69606i) q^{96} +(-3.42729 + 2.49007i) q^{97} +(-4.68660 - 5.19960i) q^{98} +(8.71749 + 4.79639i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + 16q^{2} + 16q^{4} - 32q^{8} + 16q^{9} + O(q^{10}) \) \( 128q + 16q^{2} + 16q^{4} - 32q^{8} + 16q^{9} - 6q^{11} - 12q^{15} + 16q^{16} - 2q^{17} - 4q^{18} + 2q^{22} - 12q^{25} - 18q^{27} - 5q^{28} + 38q^{29} + 6q^{30} - 3q^{31} - 64q^{32} + 28q^{33} - 16q^{34} - 31q^{35} + 8q^{36} + 2q^{37} - 2q^{39} + 5q^{40} + 16q^{41} - 13q^{42} - q^{44} + 28q^{45} + 38q^{49} + 34q^{50} + 4q^{51} + 25q^{53} - 6q^{54} - 42q^{55} - 100q^{57} - 19q^{58} + 40q^{59} - 4q^{60} + 40q^{61} - 4q^{62} - 106q^{63} - 32q^{64} + 20q^{65} - 7q^{66} + 16q^{67} - 2q^{68} - 68q^{69} - 21q^{70} + 80q^{71} - 4q^{72} + 10q^{73} + 2q^{74} - 14q^{75} + q^{77} - 16q^{78} - 5q^{80} + 32q^{81} - 8q^{82} - 92q^{83} + 8q^{84} - 100q^{85} - 40q^{86} - 38q^{87} - q^{88} + 4q^{90} + 12q^{91} - 20q^{92} - 33q^{93} + 40q^{94} + 38q^{95} - 16q^{97} + 18q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.104528 0.994522i −0.0739128 0.703233i
\(3\) −1.29320 1.15223i −0.746630 0.665239i
\(4\) −0.978148 + 0.207912i −0.489074 + 0.103956i
\(5\) 0.572012 + 1.28476i 0.255812 + 0.574562i 0.995105 0.0988210i \(-0.0315071\pi\)
−0.739294 + 0.673383i \(0.764840\pi\)
\(6\) −1.01074 + 1.40656i −0.412633 + 0.574225i
\(7\) 2.51605 0.818231i 0.950977 0.309262i
\(8\) 0.309017 + 0.951057i 0.109254 + 0.336249i
\(9\) 0.344742 + 2.98013i 0.114914 + 0.993375i
\(10\) 1.21793 0.703172i 0.385143 0.222363i
\(11\) 1.92213 2.70286i 0.579543 0.814942i
\(12\) 1.50450 + 0.858177i 0.434313 + 0.247734i
\(13\) 2.90286 + 3.99544i 0.805108 + 1.10814i 0.992060 + 0.125767i \(0.0401393\pi\)
−0.186951 + 0.982369i \(0.559861\pi\)
\(14\) −1.07675 2.41674i −0.287773 0.645900i
\(15\) 0.740609 2.32054i 0.191224 0.599161i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) 0.333610 3.17409i 0.0809124 0.769830i −0.876557 0.481297i \(-0.840166\pi\)
0.957470 0.288533i \(-0.0931675\pi\)
\(18\) 2.92777 0.654361i 0.690081 0.154234i
\(19\) 0.221853 1.04374i 0.0508965 0.239449i −0.945345 0.326073i \(-0.894274\pi\)
0.996241 + 0.0866237i \(0.0276078\pi\)
\(20\) −0.826629 1.13776i −0.184840 0.254410i
\(21\) −4.19655 1.84092i −0.915762 0.401722i
\(22\) −2.88897 1.62907i −0.615930 0.347319i
\(23\) −2.41806 1.39607i −0.504201 0.291101i 0.226246 0.974070i \(-0.427355\pi\)
−0.730447 + 0.682970i \(0.760688\pi\)
\(24\) 0.696212 1.58597i 0.142114 0.323734i
\(25\) 2.02224 2.24593i 0.404449 0.449186i
\(26\) 3.67012 3.30459i 0.719771 0.648084i
\(27\) 2.98796 4.25113i 0.575034 0.818130i
\(28\) −2.29095 + 1.32347i −0.432948 + 0.250112i
\(29\) −0.161674 + 0.497582i −0.0300221 + 0.0923986i −0.964945 0.262453i \(-0.915469\pi\)
0.934923 + 0.354851i \(0.115469\pi\)
\(30\) −2.38524 0.493989i −0.435484 0.0901897i
\(31\) 0.793258 + 0.353181i 0.142473 + 0.0634332i 0.476735 0.879047i \(-0.341820\pi\)
−0.334261 + 0.942480i \(0.608487\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −5.60000 + 1.28061i −0.974835 + 0.222926i
\(34\) −3.19158 −0.547351
\(35\) 2.49044 + 2.76448i 0.420961 + 0.467282i
\(36\) −0.956812 2.84333i −0.159469 0.473888i
\(37\) −3.96808 4.40700i −0.652348 0.724506i 0.322699 0.946501i \(-0.395410\pi\)
−0.975048 + 0.221995i \(0.928743\pi\)
\(38\) −1.06121 0.111537i −0.172151 0.0180938i
\(39\) 0.849678 8.51167i 0.136057 1.36296i
\(40\) −1.04512 + 0.941028i −0.165248 + 0.148790i
\(41\) 3.44048 + 10.5887i 0.537313 + 1.65368i 0.738599 + 0.674146i \(0.235488\pi\)
−0.201286 + 0.979533i \(0.564512\pi\)
\(42\) −1.39218 + 4.36599i −0.214818 + 0.673686i
\(43\) 6.81857i 1.03982i −0.854220 0.519911i \(-0.825965\pi\)
0.854220 0.519911i \(-0.174035\pi\)
\(44\) −1.31817 + 3.04342i −0.198721 + 0.458814i
\(45\) −3.63155 + 2.14758i −0.541360 + 0.320142i
\(46\) −1.13567 + 2.55075i −0.167445 + 0.376087i
\(47\) 1.42258 6.69270i 0.207504 0.976231i −0.743901 0.668290i \(-0.767027\pi\)
0.951405 0.307941i \(-0.0996400\pi\)
\(48\) −1.65005 0.526620i −0.238164 0.0760110i
\(49\) 5.66099 4.11742i 0.808714 0.588203i
\(50\) −2.44501 1.77640i −0.345776 0.251221i
\(51\) −4.08870 + 3.72035i −0.572533 + 0.520953i
\(52\) −3.67012 3.30459i −0.508955 0.458265i
\(53\) −0.170681 + 0.383356i −0.0234449 + 0.0526580i −0.924888 0.380239i \(-0.875842\pi\)
0.901444 + 0.432897i \(0.142509\pi\)
\(54\) −4.54017 2.52723i −0.617838 0.343913i
\(55\) 4.57200 + 0.923404i 0.616488 + 0.124512i
\(56\) 1.55569 + 2.14006i 0.207887 + 0.285977i
\(57\) −1.48952 + 1.09414i −0.197292 + 0.144922i
\(58\) 0.511755 + 0.108777i 0.0671968 + 0.0142831i
\(59\) 2.03583 + 9.57781i 0.265042 + 1.24692i 0.886224 + 0.463258i \(0.153320\pi\)
−0.621182 + 0.783667i \(0.713347\pi\)
\(60\) −0.241957 + 2.42381i −0.0312366 + 0.312913i
\(61\) −3.13938 7.05115i −0.401956 0.902808i −0.995207 0.0977902i \(-0.968823\pi\)
0.593251 0.805017i \(-0.297844\pi\)
\(62\) 0.268328 0.825830i 0.0340777 0.104881i
\(63\) 3.30582 + 7.21606i 0.416494 + 0.909138i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) −3.47271 + 6.01492i −0.430737 + 0.746059i
\(66\) 1.85896 + 5.43547i 0.228822 + 0.669060i
\(67\) 3.24562 + 5.62158i 0.396516 + 0.686786i 0.993293 0.115621i \(-0.0368858\pi\)
−0.596777 + 0.802407i \(0.703552\pi\)
\(68\) 0.333610 + 3.17409i 0.0404562 + 0.384915i
\(69\) 1.51845 + 4.59156i 0.182800 + 0.552759i
\(70\) 2.48901 2.76576i 0.297494 0.330572i
\(71\) 1.01035 1.39063i 0.119907 0.165038i −0.744844 0.667239i \(-0.767476\pi\)
0.864751 + 0.502201i \(0.167476\pi\)
\(72\) −2.72774 + 1.24878i −0.321467 + 0.147170i
\(73\) 0.649602 + 3.05614i 0.0760301 + 0.357694i 0.999673 0.0255600i \(-0.00813688\pi\)
−0.923643 + 0.383254i \(0.874804\pi\)
\(74\) −3.96808 + 4.40700i −0.461280 + 0.512303i
\(75\) −5.20299 + 0.574354i −0.600789 + 0.0663207i
\(76\) 1.06705i 0.122399i
\(77\) 2.62460 8.37326i 0.299101 0.954221i
\(78\) −8.55386 + 0.0446884i −0.968534 + 0.00505997i
\(79\) 7.75852 0.815454i 0.872902 0.0917457i 0.342526 0.939508i \(-0.388717\pi\)
0.530376 + 0.847763i \(0.322051\pi\)
\(80\) 1.04512 + 0.941028i 0.116848 + 0.105210i
\(81\) −8.76231 + 2.05475i −0.973590 + 0.228305i
\(82\) 10.1711 4.52845i 1.12321 0.500084i
\(83\) 9.70225 + 7.04910i 1.06496 + 0.773739i 0.975000 0.222207i \(-0.0713259\pi\)
0.0899605 + 0.995945i \(0.471326\pi\)
\(84\) 4.48759 + 0.928182i 0.489636 + 0.101273i
\(85\) 4.26878 1.38701i 0.463014 0.150442i
\(86\) −6.78121 + 0.712734i −0.731237 + 0.0768561i
\(87\) 0.782405 0.457188i 0.0838826 0.0490157i
\(88\) 3.16454 + 0.992822i 0.337341 + 0.105835i
\(89\) −1.89178 1.09222i −0.200529 0.115775i 0.396373 0.918089i \(-0.370269\pi\)
−0.596902 + 0.802314i \(0.703602\pi\)
\(90\) 2.51541 + 3.38717i 0.265148 + 0.357039i
\(91\) 10.5729 + 7.67752i 1.10834 + 0.804822i
\(92\) 2.65548 + 0.862818i 0.276853 + 0.0899550i
\(93\) −0.618897 1.37075i −0.0641767 0.142140i
\(94\) −6.80474 0.715207i −0.701855 0.0737679i
\(95\) 1.46785 0.312002i 0.150598 0.0320107i
\(96\) −0.351258 + 1.69606i −0.0358501 + 0.173103i
\(97\) −3.42729 + 2.49007i −0.347988 + 0.252828i −0.748025 0.663671i \(-0.768998\pi\)
0.400036 + 0.916499i \(0.368998\pi\)
\(98\) −4.68660 5.19960i −0.473418 0.525238i
\(99\) 8.71749 + 4.79639i 0.876141 + 0.482055i
\(100\) −1.51110 + 2.61730i −0.151110 + 0.261730i
\(101\) 1.20263 + 0.535443i 0.119666 + 0.0532786i 0.465696 0.884945i \(-0.345804\pi\)
−0.346030 + 0.938223i \(0.612471\pi\)
\(102\) 4.12735 + 3.67742i 0.408669 + 0.364119i
\(103\) 9.54362 + 10.5993i 0.940361 + 1.04438i 0.998937 + 0.0460940i \(0.0146774\pi\)
−0.0585759 + 0.998283i \(0.518656\pi\)
\(104\) −2.90286 + 3.99544i −0.284649 + 0.391785i
\(105\) −0.0353320 6.44458i −0.00344805 0.628927i
\(106\) 0.399097 + 0.129675i 0.0387637 + 0.0125951i
\(107\) −12.3254 2.61985i −1.19154 0.253270i −0.430875 0.902412i \(-0.641795\pi\)
−0.760668 + 0.649141i \(0.775128\pi\)
\(108\) −2.03881 + 4.77946i −0.196185 + 0.459904i
\(109\) −8.70388 + 5.02518i −0.833680 + 0.481325i −0.855111 0.518445i \(-0.826511\pi\)
0.0214310 + 0.999770i \(0.493178\pi\)
\(110\) 0.440442 4.64348i 0.0419945 0.442738i
\(111\) 0.0536608 + 10.2713i 0.00509326 + 0.974906i
\(112\) 1.96572 1.77086i 0.185743 0.167331i
\(113\) −4.42399 + 1.43744i −0.416174 + 0.135223i −0.509617 0.860401i \(-0.670213\pi\)
0.0934425 + 0.995625i \(0.470213\pi\)
\(114\) 1.24384 + 1.36699i 0.116496 + 0.128031i
\(115\) 0.410453 3.90520i 0.0382749 0.364162i
\(116\) 0.0546881 0.520322i 0.00507766 0.0483107i
\(117\) −10.9062 + 10.0283i −1.00828 + 0.927115i
\(118\) 9.31254 3.02583i 0.857288 0.278550i
\(119\) −1.75776 8.25914i −0.161134 0.757114i
\(120\) 2.43583 0.0127256i 0.222360 0.00116169i
\(121\) −3.61086 10.3905i −0.328260 0.944587i
\(122\) −6.68437 + 3.85922i −0.605175 + 0.349398i
\(123\) 7.75137 17.6576i 0.698917 1.59213i
\(124\) −0.849354 0.180536i −0.0762742 0.0162126i
\(125\) 10.7298 + 3.48632i 0.959702 + 0.311826i
\(126\) 6.83098 4.04199i 0.608552 0.360089i
\(127\) 10.6281 14.6284i 0.943095 1.29806i −0.0114318 0.999935i \(-0.503639\pi\)
0.954527 0.298125i \(-0.0963611\pi\)
\(128\) 0.669131 + 0.743145i 0.0591433 + 0.0656853i
\(129\) −7.85654 + 8.81778i −0.691730 + 0.776363i
\(130\) 6.34497 + 2.82496i 0.556490 + 0.247765i
\(131\) −10.0367 + 17.3840i −0.876908 + 1.51885i −0.0221908 + 0.999754i \(0.507064\pi\)
−0.854717 + 0.519095i \(0.826269\pi\)
\(132\) 5.21138 2.41693i 0.453592 0.210367i
\(133\) −0.295825 2.80762i −0.0256513 0.243451i
\(134\) 5.25153 3.81546i 0.453663 0.329605i
\(135\) 7.17083 + 1.40712i 0.617167 + 0.121106i
\(136\) 3.12183 0.663566i 0.267695 0.0569003i
\(137\) 4.89003 + 0.513963i 0.417784 + 0.0439108i 0.311088 0.950381i \(-0.399306\pi\)
0.106695 + 0.994292i \(0.465973\pi\)
\(138\) 4.40768 1.99008i 0.375207 0.169407i
\(139\) −21.6082 7.02093i −1.83278 0.595508i −0.999061 0.0433258i \(-0.986205\pi\)
−0.833724 0.552182i \(-0.813795\pi\)
\(140\) −3.01079 2.18628i −0.254458 0.184774i
\(141\) −9.55120 + 7.01588i −0.804356 + 0.590844i
\(142\) −1.48863 0.859459i −0.124923 0.0721242i
\(143\) 16.3788 0.166266i 1.36966 0.0139038i
\(144\) 1.52706 + 2.58226i 0.127255 + 0.215188i
\(145\) −0.731752 + 0.0769103i −0.0607687 + 0.00638705i
\(146\) 2.97149 0.965496i 0.245922 0.0799050i
\(147\) −12.0650 1.19810i −0.995106 0.0988178i
\(148\) 4.79763 + 3.48569i 0.394363 + 0.286522i
\(149\) −17.7071 + 7.88371i −1.45062 + 0.645859i −0.972599 0.232488i \(-0.925313\pi\)
−0.478023 + 0.878347i \(0.658647\pi\)
\(150\) 1.11507 + 5.11445i 0.0910449 + 0.417593i
\(151\) −15.0418 13.5437i −1.22408 1.10217i −0.991570 0.129576i \(-0.958639\pi\)
−0.232513 0.972593i \(-0.574695\pi\)
\(152\) 1.06121 0.111537i 0.0860753 0.00904688i
\(153\) 9.57420 0.100041i 0.774029 0.00808782i
\(154\) −8.60174 1.73498i −0.693148 0.139808i
\(155\) 1.22117i 0.0980867i
\(156\) 0.938565 + 8.50233i 0.0751454 + 0.680731i
\(157\) −9.71926 + 10.7943i −0.775682 + 0.861482i −0.993420 0.114525i \(-0.963465\pi\)
0.217739 + 0.976007i \(0.430132\pi\)
\(158\) −1.62197 7.63078i −0.129037 0.607073i
\(159\) 0.662439 0.299093i 0.0525348 0.0237196i
\(160\) 0.826629 1.13776i 0.0653507 0.0899476i
\(161\) −7.22627 1.53404i −0.569510 0.120899i
\(162\) 2.95940 + 8.49953i 0.232513 + 0.667786i
\(163\) 2.48171 + 23.6119i 0.194382 + 1.84942i 0.463227 + 0.886240i \(0.346692\pi\)
−0.268845 + 0.963184i \(0.586642\pi\)
\(164\) −5.56681 9.64200i −0.434695 0.752914i
\(165\) −4.84855 6.46213i −0.377459 0.503076i
\(166\) 5.99632 10.3859i 0.465405 0.806104i
\(167\) −1.27598 + 0.927052i −0.0987381 + 0.0717374i −0.636059 0.771641i \(-0.719436\pi\)
0.537321 + 0.843378i \(0.319436\pi\)
\(168\) 0.454017 4.56003i 0.0350282 0.351814i
\(169\) −3.51975 + 10.8327i −0.270750 + 0.833283i
\(170\) −1.82562 4.10041i −0.140019 0.314487i
\(171\) 3.18695 + 0.301330i 0.243712 + 0.0230433i
\(172\) 1.41766 + 6.66957i 0.108096 + 0.508550i
\(173\) 17.6821 + 3.75844i 1.34434 + 0.285749i 0.823215 0.567730i \(-0.192178\pi\)
0.521127 + 0.853479i \(0.325512\pi\)
\(174\) −0.536467 0.730329i −0.0406695 0.0553661i
\(175\) 3.25037 7.30553i 0.245705 0.552246i
\(176\) 0.656599 3.25098i 0.0494930 0.245052i
\(177\) 8.40308 14.7318i 0.631614 1.10731i
\(178\) −0.888493 + 1.99559i −0.0665953 + 0.149576i
\(179\) −14.1463 12.7374i −1.05734 0.952035i −0.0584123 0.998293i \(-0.518604\pi\)
−0.998930 + 0.0462577i \(0.985270\pi\)
\(180\) 3.10569 2.85569i 0.231484 0.212851i
\(181\) −16.3703 11.8937i −1.21679 0.884051i −0.220962 0.975282i \(-0.570920\pi\)
−0.995830 + 0.0912314i \(0.970920\pi\)
\(182\) 6.53029 11.3175i 0.484057 0.838911i
\(183\) −4.06469 + 12.7358i −0.300470 + 0.941460i
\(184\) 0.580518 2.73112i 0.0427964 0.201341i
\(185\) 3.39215 7.61889i 0.249396 0.560152i
\(186\) −1.29855 + 0.758789i −0.0952141 + 0.0556371i
\(187\) −7.93787 7.00271i −0.580475 0.512089i
\(188\) 6.84222i 0.499020i
\(189\) 4.03946 13.1409i 0.293827 0.955859i
\(190\) −0.463725 1.42720i −0.0336421 0.103540i
\(191\) −3.03287 + 2.73081i −0.219451 + 0.197594i −0.771522 0.636203i \(-0.780504\pi\)
0.552071 + 0.833797i \(0.313838\pi\)
\(192\) 1.72348 + 0.172047i 0.124382 + 0.0124164i
\(193\) 0.848255 + 0.0891552i 0.0610587 + 0.00641753i 0.135009 0.990844i \(-0.456894\pi\)
−0.0739498 + 0.997262i \(0.523560\pi\)
\(194\) 2.83468 + 3.14823i 0.203518 + 0.226030i
\(195\) 11.4215 3.77714i 0.817909 0.270487i
\(196\) −4.68123 + 5.20443i −0.334373 + 0.371745i
\(197\) 0.565770 0.0403095 0.0201547 0.999797i \(-0.493584\pi\)
0.0201547 + 0.999797i \(0.493584\pi\)
\(198\) 3.85889 9.17109i 0.274239 0.651761i
\(199\) 4.87809 + 8.44910i 0.345799 + 0.598941i 0.985499 0.169684i \(-0.0542747\pi\)
−0.639700 + 0.768625i \(0.720941\pi\)
\(200\) 2.76091 + 1.22924i 0.195226 + 0.0869202i
\(201\) 2.28010 11.0095i 0.160826 0.776553i
\(202\) 0.406801 1.25201i 0.0286225 0.0880908i
\(203\) 0.000357225 1.38423i 2.50723e−5 0.0971536i
\(204\) 3.22585 4.48914i 0.225855 0.314302i
\(205\) −11.6359 + 10.4771i −0.812690 + 0.731749i
\(206\) 9.54362 10.5993i 0.664936 0.738486i
\(207\) 3.32686 7.68742i 0.231232 0.534312i
\(208\) 4.27699 + 2.46932i 0.296556 + 0.171217i
\(209\) −2.39464 2.60583i −0.165641 0.180249i
\(210\) −6.40559 + 0.708781i −0.442028 + 0.0489105i
\(211\) 9.36900 + 12.8953i 0.644989 + 0.887751i 0.998869 0.0475400i \(-0.0151382\pi\)
−0.353881 + 0.935291i \(0.615138\pi\)
\(212\) 0.0872471 0.410466i 0.00599216 0.0281909i
\(213\) −2.90892 + 0.634211i −0.199316 + 0.0434554i
\(214\) −1.31714 + 12.5317i −0.0900378 + 0.856653i
\(215\) 8.76022 3.90030i 0.597442 0.265998i
\(216\) 4.96639 + 1.52805i 0.337920 + 0.103971i
\(217\) 2.28486 + 0.239552i 0.155106 + 0.0162619i
\(218\) 5.90746 + 8.13092i 0.400104 + 0.550695i
\(219\) 2.68130 4.70069i 0.181185 0.317643i
\(220\) −4.66408 + 0.0473464i −0.314452 + 0.00319209i
\(221\) 13.6503 7.88102i 0.918220 0.530135i
\(222\) 10.2094 1.12701i 0.685210 0.0756398i
\(223\) −3.77374 11.6144i −0.252709 0.777757i −0.994272 0.106875i \(-0.965916\pi\)
0.741564 0.670882i \(-0.234084\pi\)
\(224\) −1.96663 1.76985i −0.131401 0.118253i
\(225\) 7.39030 + 5.25227i 0.492687 + 0.350152i
\(226\) 1.89200 + 4.24951i 0.125854 + 0.282673i
\(227\) −13.9907 + 2.97381i −0.928595 + 0.197379i −0.647294 0.762241i \(-0.724099\pi\)
−0.281301 + 0.959620i \(0.590766\pi\)
\(228\) 1.22949 1.37992i 0.0814249 0.0913871i
\(229\) 1.99267 + 18.9590i 0.131680 + 1.25285i 0.838282 + 0.545237i \(0.183560\pi\)
−0.706602 + 0.707611i \(0.749773\pi\)
\(230\) −3.92671 −0.258920
\(231\) −13.0420 + 7.80418i −0.858103 + 0.513477i
\(232\) −0.523188 −0.0343490
\(233\) 0.721428 + 6.86393i 0.0472623 + 0.449671i 0.992405 + 0.123013i \(0.0392558\pi\)
−0.945143 + 0.326658i \(0.894078\pi\)
\(234\) 11.1134 + 9.79820i 0.726503 + 0.640529i
\(235\) 9.41224 2.00063i 0.613987 0.130507i
\(236\) −3.98268 8.94524i −0.259250 0.582285i
\(237\) −10.9729 7.88504i −0.712768 0.512189i
\(238\) −8.03016 + 2.61145i −0.520518 + 0.169275i
\(239\) −8.84622 27.2259i −0.572214 1.76109i −0.645475 0.763782i \(-0.723340\pi\)
0.0732605 0.997313i \(-0.476660\pi\)
\(240\) −0.267269 2.42115i −0.0172522 0.156285i
\(241\) −15.7349 + 9.08453i −1.01357 + 0.585186i −0.912235 0.409666i \(-0.865645\pi\)
−0.101336 + 0.994852i \(0.532312\pi\)
\(242\) −9.95610 + 4.67718i −0.640003 + 0.300661i
\(243\) 13.6990 + 7.43897i 0.878789 + 0.477210i
\(244\) 4.53679 + 6.24436i 0.290438 + 0.399754i
\(245\) 8.52805 + 4.91781i 0.544837 + 0.314187i
\(246\) −18.3711 5.86319i −1.17130 0.373823i
\(247\) 4.81419 2.14342i 0.306320 0.136382i
\(248\) −0.0907651 + 0.863572i −0.00576359 + 0.0548369i
\(249\) −4.42480 20.2951i −0.280410 1.28615i
\(250\) 2.34565 11.0354i 0.148352 0.697942i
\(251\) 7.31864 + 10.0732i 0.461948 + 0.635817i 0.974911 0.222593i \(-0.0714522\pi\)
−0.512963 + 0.858411i \(0.671452\pi\)
\(252\) −4.73388 6.37106i −0.298207 0.401339i
\(253\) −8.42120 + 3.85226i −0.529436 + 0.242189i
\(254\) −15.6592 9.04084i −0.982545 0.567273i
\(255\) −7.11854 3.12492i −0.445780 0.195690i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) 10.3600 9.32820i 0.646240 0.581877i −0.279450 0.960160i \(-0.590152\pi\)
0.925690 + 0.378283i \(0.123485\pi\)
\(258\) 9.59071 + 6.89180i 0.597092 + 0.429064i
\(259\) −13.5898 7.84141i −0.844431 0.487242i
\(260\) 2.14626 6.60550i 0.133105 0.409655i
\(261\) −1.53859 0.310272i −0.0952365 0.0192054i
\(262\) 18.3379 + 8.16456i 1.13292 + 0.504408i
\(263\) −9.23084 15.9883i −0.569198 0.985879i −0.996646 0.0818394i \(-0.973921\pi\)
0.427448 0.904040i \(-0.359413\pi\)
\(264\) −2.94843 4.93019i −0.181463 0.303432i
\(265\) −0.590152 −0.0362528
\(266\) −2.76131 + 0.587680i −0.169307 + 0.0360330i
\(267\) 1.18797 + 3.59223i 0.0727025 + 0.219841i
\(268\) −4.34349 4.82394i −0.265321 0.294669i
\(269\) −7.68213 0.807425i −0.468388 0.0492295i −0.132605 0.991169i \(-0.542334\pi\)
−0.335783 + 0.941939i \(0.609001\pi\)
\(270\) 0.649857 7.27863i 0.0395491 0.442963i
\(271\) −13.9851 + 12.5923i −0.849537 + 0.764926i −0.973820 0.227321i \(-0.927003\pi\)
0.124283 + 0.992247i \(0.460337\pi\)
\(272\) −0.986251 3.03537i −0.0598003 0.184046i
\(273\) −4.82669 22.1110i −0.292124 1.33822i
\(274\) 4.91697i 0.297045i
\(275\) −2.18341 9.78279i −0.131665 0.589924i
\(276\) −2.43991 4.17552i −0.146865 0.251337i
\(277\) 1.51394 3.40038i 0.0909641 0.204309i −0.862334 0.506340i \(-0.830998\pi\)
0.953298 + 0.302031i \(0.0976647\pi\)
\(278\) −4.72380 + 22.2237i −0.283315 + 1.33289i
\(279\) −0.779055 + 2.48577i −0.0466408 + 0.148819i
\(280\) −1.85959 + 3.22282i −0.111132 + 0.192600i
\(281\) 11.5940 + 8.42355i 0.691642 + 0.502507i 0.877199 0.480126i \(-0.159409\pi\)
−0.185558 + 0.982633i \(0.559409\pi\)
\(282\) 7.97582 + 8.76551i 0.474953 + 0.521979i
\(283\) −6.24565 5.62361i −0.371266 0.334289i 0.462286 0.886731i \(-0.347029\pi\)
−0.833551 + 0.552442i \(0.813696\pi\)
\(284\) −0.699147 + 1.57031i −0.0414867 + 0.0931807i
\(285\) −2.25773 1.28782i −0.133736 0.0762838i
\(286\) −1.87740 16.2717i −0.111013 0.962164i
\(287\) 17.3204 + 23.8266i 1.02239 + 1.40644i
\(288\) 2.40849 1.78862i 0.141922 0.105395i
\(289\) 6.66495 + 1.41668i 0.392056 + 0.0833340i
\(290\) 0.152978 + 0.719705i 0.00898317 + 0.0422625i
\(291\) 7.30130 + 0.728853i 0.428010 + 0.0427261i
\(292\) −1.27081 2.85429i −0.0743687 0.167035i
\(293\) 0.953809 2.93552i 0.0557221 0.171495i −0.919322 0.393506i \(-0.871262\pi\)
0.975044 + 0.222011i \(0.0712621\pi\)
\(294\) 0.0695988 + 12.1242i 0.00405909 + 0.707095i
\(295\) −11.1407 + 8.09417i −0.648635 + 0.471261i
\(296\) 2.96510 5.13571i 0.172343 0.298507i
\(297\) −5.74694 16.2472i −0.333471 0.942760i
\(298\) 9.69142 + 16.7860i 0.561409 + 0.972389i
\(299\) −1.44138 13.7138i −0.0833572 0.793091i
\(300\) 4.96988 1.64357i 0.286936 0.0948913i
\(301\) −5.57917 17.1558i −0.321578 0.988846i
\(302\) −11.8972 + 16.3751i −0.684606 + 0.942280i
\(303\) −0.938284 2.07813i −0.0539030 0.119386i
\(304\) −0.221853 1.04374i −0.0127241 0.0598624i
\(305\) 7.26328 8.06669i 0.415894 0.461897i
\(306\) −1.10027 9.51130i −0.0628982 0.543725i
\(307\) 18.2478i 1.04146i −0.853722 0.520729i \(-0.825660\pi\)
0.853722 0.520729i \(-0.174340\pi\)
\(308\) −0.826347 + 8.73597i −0.0470855 + 0.497778i
\(309\) −0.129060 24.7034i −0.00734194 1.40533i
\(310\) 1.21448 0.127647i 0.0689778 0.00724986i
\(311\) 8.89906 + 8.01275i 0.504619 + 0.454361i 0.881694 0.471822i \(-0.156403\pi\)
−0.377075 + 0.926183i \(0.623070\pi\)
\(312\) 8.35764 1.82216i 0.473158 0.103159i
\(313\) 26.2214 11.6745i 1.48212 0.659882i 0.503208 0.864165i \(-0.332153\pi\)
0.978912 + 0.204283i \(0.0654862\pi\)
\(314\) 11.7511 + 8.53770i 0.663155 + 0.481811i
\(315\) −7.37994 + 8.37486i −0.415812 + 0.471870i
\(316\) −7.41944 + 2.41072i −0.417376 + 0.135614i
\(317\) 12.2543 1.28798i 0.688271 0.0723402i 0.246064 0.969253i \(-0.420863\pi\)
0.442206 + 0.896913i \(0.354196\pi\)
\(318\) −0.366699 0.627546i −0.0205634 0.0351910i
\(319\) 1.03413 + 1.39340i 0.0579004 + 0.0780152i
\(320\) −1.21793 0.703172i −0.0680844 0.0393085i
\(321\) 12.9206 + 17.5897i 0.721157 + 0.981760i
\(322\) −0.770288 + 7.34704i −0.0429265 + 0.409434i
\(323\) −3.23890 1.05238i −0.180217 0.0585561i
\(324\) 8.14362 3.83163i 0.452423 0.212869i
\(325\) 14.8438 + 1.56014i 0.823384 + 0.0865411i
\(326\) 23.2231 4.93622i 1.28621 0.273392i
\(327\) 17.0460 + 3.53027i 0.942647 + 0.195224i
\(328\) −9.00729 + 6.54418i −0.497344 + 0.361342i
\(329\) −1.89691 18.0032i −0.104580 0.992546i
\(330\) −5.91992 + 5.49746i −0.325881 + 0.302625i
\(331\) −7.39402 + 12.8068i −0.406412 + 0.703927i −0.994485 0.104882i \(-0.966554\pi\)
0.588073 + 0.808808i \(0.299887\pi\)
\(332\) −10.9558 4.87785i −0.601279 0.267707i
\(333\) 11.7654 13.3447i 0.644743 0.731283i
\(334\) 1.05535 + 1.17208i 0.0577461 + 0.0641336i
\(335\) −5.36585 + 7.38546i −0.293168 + 0.403511i
\(336\) −4.58251 + 0.0251233i −0.249996 + 0.00137059i
\(337\) 4.99286 + 1.62228i 0.271978 + 0.0883711i 0.441831 0.897098i \(-0.354329\pi\)
−0.169853 + 0.985469i \(0.554329\pi\)
\(338\) 11.1413 + 2.36815i 0.606004 + 0.128810i
\(339\) 7.37738 + 3.23855i 0.400684 + 0.175894i
\(340\) −3.88712 + 2.24423i −0.210809 + 0.121710i
\(341\) 2.47934 1.46520i 0.134264 0.0793452i
\(342\) −0.0334471 3.20099i −0.00180861 0.173089i
\(343\) 10.8743 14.9916i 0.587159 0.809472i
\(344\) 6.48484 2.10705i 0.349639 0.113605i
\(345\) −5.03048 + 4.57728i −0.270832 + 0.246432i
\(346\) 1.88957 17.9781i 0.101584 0.966506i
\(347\) −3.50116 + 33.3113i −0.187952 + 1.78825i 0.341476 + 0.939890i \(0.389073\pi\)
−0.529428 + 0.848355i \(0.677594\pi\)
\(348\) −0.670253 + 0.609869i −0.0359293 + 0.0326924i
\(349\) −21.5358 + 6.99740i −1.15278 + 0.374562i −0.822191 0.569211i \(-0.807249\pi\)
−0.330593 + 0.943774i \(0.607249\pi\)
\(350\) −7.60526 2.46893i −0.406518 0.131970i
\(351\) 25.6588 0.402181i 1.36956 0.0214668i
\(352\) −3.30181 0.313182i −0.175987 0.0166927i
\(353\) −1.02529 + 0.591950i −0.0545706 + 0.0315063i −0.527037 0.849842i \(-0.676697\pi\)
0.472466 + 0.881349i \(0.343364\pi\)
\(354\) −15.5294 6.81716i −0.825380 0.362328i
\(355\) 2.36456 + 0.502604i 0.125498 + 0.0266754i
\(356\) 2.07753 + 0.675030i 0.110109 + 0.0357765i
\(357\) −7.24327 + 12.7061i −0.383354 + 0.672477i
\(358\) −11.1889 + 15.4002i −0.591351 + 0.813925i
\(359\) −22.3727 24.8474i −1.18079 1.31140i −0.940141 0.340784i \(-0.889307\pi\)
−0.240646 0.970613i \(-0.577359\pi\)
\(360\) −3.16468 2.79017i −0.166793 0.147055i
\(361\) 16.3172 + 7.26488i 0.858800 + 0.382362i
\(362\) −10.1174 + 17.5238i −0.531758 + 0.921031i
\(363\) −7.30260 + 17.5975i −0.383287 + 0.923629i
\(364\) −11.9381 5.31151i −0.625728 0.278399i
\(365\) −3.55482 + 2.58273i −0.186068 + 0.135186i
\(366\) 13.0909 + 2.71116i 0.684275 + 0.141715i
\(367\) 22.4426 4.77032i 1.17149 0.249009i 0.419236 0.907877i \(-0.362298\pi\)
0.752258 + 0.658868i \(0.228965\pi\)
\(368\) −2.77684 0.291858i −0.144753 0.0152141i
\(369\) −30.3696 + 13.9034i −1.58098 + 0.723784i
\(370\) −7.93172 2.57717i −0.412351 0.133981i
\(371\) −0.115768 + 1.10420i −0.00601037 + 0.0573272i
\(372\) 0.890368 + 1.21212i 0.0461634 + 0.0628454i
\(373\) −24.2117 13.9787i −1.25364 0.723787i −0.281807 0.959471i \(-0.590934\pi\)
−0.971830 + 0.235684i \(0.924267\pi\)
\(374\) −6.13461 + 8.62637i −0.317213 + 0.446059i
\(375\) −9.85875 16.8717i −0.509104 0.871250i
\(376\) 6.80474 0.715207i 0.350928 0.0368840i
\(377\) −2.45738 + 0.798450i −0.126561 + 0.0411223i
\(378\) −13.4911 2.64373i −0.693909 0.135979i
\(379\) 30.5843 + 22.2208i 1.57101 + 1.14141i 0.926180 + 0.377081i \(0.123072\pi\)
0.644831 + 0.764325i \(0.276928\pi\)
\(380\) −1.37091 + 0.610367i −0.0703261 + 0.0313112i
\(381\) −30.5996 + 6.67141i −1.56766 + 0.341787i
\(382\) 3.03287 + 2.73081i 0.155175 + 0.139720i
\(383\) −17.2281 + 1.81074i −0.880314 + 0.0925247i −0.533890 0.845554i \(-0.679271\pi\)
−0.346423 + 0.938078i \(0.612604\pi\)
\(384\) −0.00904873 1.73203i −0.000461766 0.0883871i
\(385\) 12.2589 1.41762i 0.624773 0.0722488i
\(386\) 0.852927i 0.0434128i
\(387\) 20.3202 2.35065i 1.03293 0.119490i
\(388\) 2.83468 3.14823i 0.143909 0.159827i
\(389\) 5.73185 + 26.9663i 0.290617 + 1.36724i 0.844904 + 0.534918i \(0.179657\pi\)
−0.554288 + 0.832325i \(0.687009\pi\)
\(390\) −4.95032 10.9641i −0.250669 0.555188i
\(391\) −5.23794 + 7.20941i −0.264894 + 0.364596i
\(392\) 5.66524 + 4.11157i 0.286138 + 0.207666i
\(393\) 33.0098 10.9165i 1.66512 0.550665i
\(394\) −0.0591391 0.562671i −0.00297939 0.0283470i
\(395\) 5.48563 + 9.50139i 0.276012 + 0.478067i
\(396\) −9.52422 2.87911i −0.478610 0.144681i
\(397\) −12.5033 + 21.6563i −0.627522 + 1.08690i 0.360526 + 0.932749i \(0.382597\pi\)
−0.988047 + 0.154150i \(0.950736\pi\)
\(398\) 7.89292 5.73454i 0.395636 0.287446i
\(399\) −2.85245 + 3.97167i −0.142801 + 0.198832i
\(400\) 0.933909 2.87428i 0.0466955 0.143714i
\(401\) 15.9632 + 35.8539i 0.797163 + 1.79046i 0.580599 + 0.814189i \(0.302818\pi\)
0.216564 + 0.976268i \(0.430515\pi\)
\(402\) −11.1876 1.11680i −0.557985 0.0557009i
\(403\) 0.891601 + 4.19465i 0.0444138 + 0.208951i
\(404\) −1.28767 0.273703i −0.0640640 0.0136172i
\(405\) −7.65200 10.0821i −0.380231 0.500985i
\(406\) 1.37661 0.145046i 0.0683198 0.00719853i
\(407\) −19.5386 + 2.25434i −0.968494 + 0.111744i
\(408\) −4.80174 2.73894i −0.237721 0.135598i
\(409\) −8.30248 + 18.6477i −0.410531 + 0.922068i 0.583412 + 0.812176i \(0.301717\pi\)
−0.993944 + 0.109892i \(0.964950\pi\)
\(410\) 11.6359 + 10.4771i 0.574659 + 0.517425i
\(411\) −5.73159 6.29909i −0.282719 0.310711i
\(412\) −11.5388 8.38342i −0.568475 0.413021i
\(413\) 12.9591 + 22.4324i 0.637675 + 1.10383i
\(414\) −7.99306 2.50508i −0.392837 0.123118i
\(415\) −3.50659 + 16.4972i −0.172132 + 0.809817i
\(416\) 2.00873 4.51167i 0.0984859 0.221203i
\(417\) 19.8541 + 33.9771i 0.972258 + 1.66386i
\(418\) −2.34125 + 2.65390i −0.114514 + 0.129807i
\(419\) 30.7965i 1.50451i −0.658872 0.752255i \(-0.728966\pi\)
0.658872 0.752255i \(-0.271034\pi\)
\(420\) 1.37446 + 6.29641i 0.0670670 + 0.307233i
\(421\) −1.54240 4.74702i −0.0751721 0.231356i 0.906409 0.422401i \(-0.138812\pi\)
−0.981581 + 0.191045i \(0.938812\pi\)
\(422\) 11.8454 10.6656i 0.576623 0.519193i
\(423\) 20.4355 + 1.93221i 0.993609 + 0.0939471i
\(424\) −0.417337 0.0438639i −0.0202677 0.00213022i
\(425\) −6.45414 7.16805i −0.313072 0.347701i
\(426\) 0.934802 + 2.82669i 0.0452913 + 0.136954i
\(427\) −13.6683 15.1723i −0.661455 0.734239i
\(428\) 12.6008 0.609081
\(429\) −21.3726 18.6571i −1.03188 0.900771i
\(430\) −4.79463 8.30454i −0.231218 0.400480i
\(431\) −5.55420 2.47289i −0.267536 0.119115i 0.268584 0.963256i \(-0.413444\pi\)
−0.536121 + 0.844141i \(0.680111\pi\)
\(432\) 1.00055 5.09891i 0.0481391 0.245321i
\(433\) −5.61131 + 17.2698i −0.269662 + 0.829935i 0.720920 + 0.693018i \(0.243719\pi\)
−0.990583 + 0.136917i \(0.956281\pi\)
\(434\) −0.000592882 2.29738i −2.84592e−5 0.110278i
\(435\) 1.03492 + 0.743685i 0.0496207 + 0.0356570i
\(436\) 7.46888 6.72501i 0.357694 0.322070i
\(437\) −1.99358 + 2.21410i −0.0953660 + 0.105915i
\(438\) −4.95521 2.17525i −0.236769 0.103938i
\(439\) −3.36418 1.94231i −0.160564 0.0927014i 0.417565 0.908647i \(-0.362884\pi\)
−0.578129 + 0.815946i \(0.696217\pi\)
\(440\) 0.534616 + 4.63358i 0.0254868 + 0.220897i
\(441\) 14.2220 + 15.4510i 0.677239 + 0.735763i
\(442\) −9.26470 12.7518i −0.440677 0.606539i
\(443\) −3.84129 + 18.0718i −0.182505 + 0.858619i 0.787648 + 0.616126i \(0.211299\pi\)
−0.970153 + 0.242494i \(0.922035\pi\)
\(444\) −2.18801 10.0357i −0.103838 0.476271i
\(445\) 0.321120 3.05525i 0.0152225 0.144833i
\(446\) −11.1563 + 4.96711i −0.528266 + 0.235199i
\(447\) 31.9827 + 10.2074i 1.51273 + 0.482793i
\(448\) −1.55458 + 2.14086i −0.0734471 + 0.101146i
\(449\) 15.9011 + 21.8860i 0.750420 + 1.03286i 0.997951 + 0.0639844i \(0.0203808\pi\)
−0.247531 + 0.968880i \(0.579619\pi\)
\(450\) 4.45100 7.89883i 0.209822 0.372354i
\(451\) 35.2328 + 11.0537i 1.65905 + 0.520499i
\(452\) 4.02846 2.32583i 0.189483 0.109398i
\(453\) 3.84665 + 34.8463i 0.180731 + 1.63722i
\(454\) 4.41995 + 13.6032i 0.207438 + 0.638430i
\(455\) −3.81592 + 17.9753i −0.178893 + 0.842695i
\(456\) −1.50087 1.07851i −0.0702848 0.0505060i
\(457\) −3.57017 8.01872i −0.167005 0.375100i 0.810584 0.585623i \(-0.199150\pi\)
−0.977589 + 0.210523i \(0.932483\pi\)
\(458\) 18.6469 3.96352i 0.871311 0.185203i
\(459\) −12.4966 10.9023i −0.583294 0.508875i
\(460\) 0.410453 + 3.90520i 0.0191375 + 0.182081i
\(461\) −16.4127 −0.764418 −0.382209 0.924076i \(-0.624837\pi\)
−0.382209 + 0.924076i \(0.624837\pi\)
\(462\) 9.12469 + 12.1548i 0.424519 + 0.565494i
\(463\) −8.51812 −0.395871 −0.197935 0.980215i \(-0.563424\pi\)
−0.197935 + 0.980215i \(0.563424\pi\)
\(464\) 0.0546881 + 0.520322i 0.00253883 + 0.0241554i
\(465\) 1.40707 1.57922i 0.0652511 0.0732345i
\(466\) 6.75092 1.43495i 0.312730 0.0664729i
\(467\) −14.2061 31.9075i −0.657381 1.47650i −0.866790 0.498673i \(-0.833821\pi\)
0.209409 0.977828i \(-0.432846\pi\)
\(468\) 8.58286 12.0767i 0.396743 0.558244i
\(469\) 12.7659 + 11.4885i 0.589475 + 0.530490i
\(470\) −2.97352 9.15156i −0.137158 0.422130i
\(471\) 25.0065 2.76045i 1.15224 0.127195i
\(472\) −8.47993 + 4.89589i −0.390320 + 0.225352i
\(473\) −18.4296 13.1061i −0.847394 0.602621i
\(474\) −6.69486 + 11.7370i −0.307505 + 0.539100i
\(475\) −1.89552 2.60895i −0.0869722 0.119707i
\(476\) 3.43652 + 7.71320i 0.157513 + 0.353534i
\(477\) −1.20129 0.376493i −0.0550033 0.0172384i
\(478\) −26.1520 + 11.6436i −1.19617 + 0.532567i
\(479\) 1.08697 10.3419i 0.0496651 0.472532i −0.941217 0.337802i \(-0.890317\pi\)
0.990882 0.134730i \(-0.0430168\pi\)
\(480\) −2.37995 + 0.518885i −0.108629 + 0.0236837i
\(481\) 6.08914 28.6471i 0.277641 1.30620i
\(482\) 10.6795 + 14.6991i 0.486438 + 0.669525i
\(483\) 7.57746 + 10.3101i 0.344786 + 0.469127i
\(484\) 5.69225 + 9.41266i 0.258739 + 0.427848i
\(485\) −5.15959 2.97889i −0.234285 0.135265i
\(486\) 5.96629 14.4015i 0.270636 0.653266i
\(487\) −22.3574 + 24.8304i −1.01311 + 1.12517i −0.0210011 + 0.999779i \(0.506685\pi\)
−0.992107 + 0.125391i \(0.959981\pi\)
\(488\) 5.73592 5.16465i 0.259653 0.233793i
\(489\) 23.9969 33.3944i 1.08518 1.51015i
\(490\) 3.99944 8.99538i 0.180676 0.406370i
\(491\) 0.00146407 0.00450594i 6.60724e−5 0.000203350i −0.951023 0.309119i \(-0.899966\pi\)
0.951090 + 0.308915i \(0.0999660\pi\)
\(492\) −3.91077 + 18.8833i −0.176311 + 0.851324i
\(493\) 1.52543 + 0.679167i 0.0687021 + 0.0305881i
\(494\) −2.63490 4.56377i −0.118550 0.205334i
\(495\) −1.17570 + 13.9435i −0.0528439 + 0.626713i
\(496\) 0.868329 0.0389891
\(497\) 1.40424 4.32560i 0.0629888 0.194030i
\(498\) −19.7214 + 6.52198i −0.883737 + 0.292257i
\(499\) −11.6224 12.9080i −0.520289 0.577840i 0.424538 0.905410i \(-0.360437\pi\)
−0.944827 + 0.327571i \(0.893770\pi\)
\(500\) −11.2202 1.17929i −0.501781 0.0527393i
\(501\) 2.71827 + 0.271352i 0.121443 + 0.0121231i
\(502\) 9.25305 8.33149i 0.412984 0.371852i
\(503\) −4.15264 12.7805i −0.185157 0.569855i 0.814794 0.579751i \(-0.196850\pi\)
−0.999951 + 0.00989591i \(0.996850\pi\)
\(504\) −5.84133 + 5.37391i −0.260193 + 0.239373i
\(505\) 1.85136i 0.0823846i
\(506\) 4.71141 + 7.97239i 0.209448 + 0.354416i
\(507\) 17.0335 9.95329i 0.756483 0.442041i
\(508\) −7.35448 + 16.5184i −0.326302 + 0.732887i
\(509\) 6.09622 28.6805i 0.270210 1.27124i −0.608374 0.793651i \(-0.708178\pi\)
0.878584 0.477588i \(-0.158489\pi\)
\(510\) −2.36371 + 7.40619i −0.104667 + 0.327951i
\(511\) 4.13506 + 7.15786i 0.182924 + 0.316645i
\(512\) −0.809017 0.587785i −0.0357538 0.0259767i
\(513\) −3.77416 4.06177i −0.166633 0.179332i
\(514\) −10.3600 9.32820i −0.456961 0.411449i
\(515\) −8.15845 + 18.3242i −0.359504 + 0.807460i
\(516\) 5.85154 10.2586i 0.257600 0.451608i
\(517\) −15.3550 16.7092i −0.675314 0.734871i
\(518\) −6.37793 + 14.3350i −0.280230 + 0.629845i
\(519\) −18.5359 25.2342i −0.813635 1.10766i
\(520\) −6.79366 1.44404i −0.297921 0.0633252i
\(521\) 0.904642 + 4.25601i 0.0396331 + 0.186459i 0.993511 0.113736i \(-0.0362817\pi\)
−0.953878 + 0.300195i \(0.902948\pi\)
\(522\) −0.147746 + 1.56260i −0.00646665 + 0.0683930i
\(523\) −2.10387 4.72537i −0.0919958 0.206626i 0.861687 0.507440i \(-0.169408\pi\)
−0.953683 + 0.300814i \(0.902742\pi\)
\(524\) 6.20300 19.0909i 0.270979 0.833989i
\(525\) −12.6210 + 5.70235i −0.550826 + 0.248871i
\(526\) −14.9358 + 10.8515i −0.651232 + 0.473148i
\(527\) 1.38567 2.40005i 0.0603607 0.104548i
\(528\) −4.59499 + 3.44762i −0.199971 + 0.150039i
\(529\) −7.60198 13.1670i −0.330521 0.572479i
\(530\) 0.0616877 + 0.586919i 0.00267954 + 0.0254941i
\(531\) −27.8412 + 9.36889i −1.20821 + 0.406575i
\(532\) 0.873097 + 2.68476i 0.0378535 + 0.116399i
\(533\) −32.3193 + 44.4838i −1.39991 + 1.92681i
\(534\) 3.44837 1.55695i 0.149226 0.0673759i
\(535\) −3.68441 17.3338i −0.159291 0.749405i
\(536\) −4.34349 + 4.82394i −0.187610 + 0.208362i
\(537\) 3.61764 + 32.7717i 0.156113 + 1.41420i
\(538\) 7.72445i 0.333025i
\(539\) −0.247646 23.2151i −0.0106669 0.999943i
\(540\) −7.30668 + 0.114527i −0.314430 + 0.00492844i
\(541\) −10.2016 + 1.07223i −0.438599 + 0.0460987i −0.321255 0.946993i \(-0.604105\pi\)
−0.117344 + 0.993091i \(0.537438\pi\)
\(542\) 13.9851 + 12.5923i 0.600713 + 0.540884i
\(543\) 7.46581 + 34.2432i 0.320389 + 1.46952i
\(544\) −2.91565 + 1.29813i −0.125007 + 0.0556569i
\(545\) −11.4349 8.30792i −0.489816 0.355872i
\(546\) −21.4854 + 7.11147i −0.919488 + 0.304343i
\(547\) 28.9187 9.39625i 1.23647 0.401754i 0.383418 0.923575i \(-0.374747\pi\)
0.853055 + 0.521821i \(0.174747\pi\)
\(548\) −4.89003 + 0.513963i −0.208892 + 0.0219554i
\(549\) 19.9311 11.7866i 0.850637 0.503038i
\(550\) −9.50097 + 3.19403i −0.405123 + 0.136194i
\(551\) 0.483476 + 0.279135i 0.0205968 + 0.0118915i
\(552\) −3.89760 + 2.86301i −0.165893 + 0.121858i
\(553\) 18.8536 8.39999i 0.801736 0.357204i
\(554\) −3.54000 1.15022i −0.150400 0.0488680i
\(555\) −13.1654 + 5.94423i −0.558841 + 0.252319i
\(556\) 22.5958 + 2.37491i 0.958273 + 0.100719i
\(557\) 24.0837 5.11914i 1.02046 0.216905i 0.332845 0.942982i \(-0.391992\pi\)
0.687614 + 0.726077i \(0.258658\pi\)
\(558\) 2.55358 + 0.514954i 0.108102 + 0.0217998i
\(559\) 27.2432 19.7933i 1.15226 0.837169i
\(560\) 3.39955 + 1.51252i 0.143657 + 0.0639158i
\(561\) 2.19656 + 18.2021i 0.0927387 + 0.768495i
\(562\) 7.16550 12.4110i 0.302259 0.523527i
\(563\) 16.6707 + 7.42228i 0.702587 + 0.312812i 0.726756 0.686896i \(-0.241027\pi\)
−0.0241687 + 0.999708i \(0.507694\pi\)
\(564\) 7.88380 8.84837i 0.331968 0.372584i
\(565\) −4.37735 4.86154i −0.184156 0.204526i
\(566\) −4.93996 + 6.79927i −0.207642 + 0.285794i
\(567\) −20.3651 + 12.3394i −0.855255 + 0.518208i
\(568\) 1.63479 + 0.531175i 0.0685942 + 0.0222876i
\(569\) 3.56235 + 0.757202i 0.149342 + 0.0317435i 0.281976 0.959422i \(-0.409010\pi\)
−0.132634 + 0.991165i \(0.542344\pi\)
\(570\) −1.04477 + 2.37997i −0.0437605 + 0.0996861i
\(571\) −16.8149 + 9.70810i −0.703683 + 0.406272i −0.808718 0.588197i \(-0.799838\pi\)
0.105035 + 0.994469i \(0.466505\pi\)
\(572\) −15.9863 + 3.56797i −0.668420 + 0.149184i
\(573\) 7.06862 0.0369290i 0.295296 0.00154273i
\(574\) 21.8856 19.7161i 0.913487 0.822934i
\(575\) −8.02538 + 2.60760i −0.334682 + 0.108745i
\(576\) −2.03058 2.20834i −0.0846073 0.0920141i
\(577\) 3.02559 28.7866i 0.125957 1.19840i −0.730768 0.682626i \(-0.760838\pi\)
0.856725 0.515774i \(-0.172496\pi\)
\(578\) 0.712241 6.77652i 0.0296253 0.281866i
\(579\) −0.994237 1.09268i −0.0413191 0.0454102i
\(580\) 0.699771 0.227370i 0.0290564 0.00944100i
\(581\) 30.1791 + 9.79718i 1.25204 + 0.406455i
\(582\) −0.0383337 7.33749i −0.00158898 0.304149i
\(583\) 0.708086 + 1.19819i 0.0293259 + 0.0496238i
\(584\) −2.70582 + 1.56221i −0.111968 + 0.0646445i
\(585\) −19.1224 8.27553i −0.790614 0.342151i
\(586\) −3.01914 0.641738i −0.124720 0.0265100i
\(587\) −21.0052 6.82499i −0.866976 0.281698i −0.158437 0.987369i \(-0.550645\pi\)
−0.708539 + 0.705671i \(0.750645\pi\)
\(588\) 12.0505 1.33654i 0.496953 0.0551179i
\(589\) 0.544614 0.749597i 0.0224404 0.0308866i
\(590\) 9.21434 + 10.2336i 0.379348 + 0.421309i
\(591\) −0.731655 0.651896i −0.0300963 0.0268154i
\(592\) −5.41751 2.41203i −0.222658 0.0991338i
\(593\) −9.11219 + 15.7828i −0.374193 + 0.648121i −0.990206 0.139615i \(-0.955413\pi\)
0.616013 + 0.787736i \(0.288747\pi\)
\(594\) −15.5575 + 7.41375i −0.638333 + 0.304190i
\(595\) 9.60555 6.98263i 0.393789 0.286260i
\(596\) 15.6810 11.3929i 0.642321 0.466673i
\(597\) 3.42693 16.5471i 0.140255 0.677226i
\(598\) −13.4880 + 2.86697i −0.551567 + 0.117239i
\(599\) −25.7663 2.70814i −1.05278 0.110652i −0.437704 0.899119i \(-0.644208\pi\)
−0.615077 + 0.788467i \(0.710875\pi\)
\(600\) −2.15405 4.77085i −0.0879389 0.194769i
\(601\) 10.5842 + 3.43901i 0.431738 + 0.140280i 0.516820 0.856094i \(-0.327115\pi\)
−0.0850828 + 0.996374i \(0.527115\pi\)
\(602\) −16.4787 + 7.34188i −0.671621 + 0.299233i
\(603\) −15.6341 + 11.6104i −0.636671 + 0.472811i
\(604\) 17.5290 + 10.1204i 0.713244 + 0.411791i
\(605\) 11.2838 10.5826i 0.458751 0.430242i
\(606\) −1.96867 + 1.15037i −0.0799719 + 0.0467305i
\(607\) −2.72283 + 0.286181i −0.110516 + 0.0116157i −0.159625 0.987178i \(-0.551029\pi\)
0.0491089 + 0.998793i \(0.484362\pi\)
\(608\) −1.01483 + 0.329738i −0.0411567 + 0.0133726i
\(609\) 1.59448 1.79050i 0.0646117 0.0725545i
\(610\) −8.78172 6.38029i −0.355561 0.258330i
\(611\) 30.8698 13.7441i 1.24886 0.556028i
\(612\) −9.34419 + 2.08844i −0.377716 + 0.0844203i
\(613\) 28.8310 + 25.9595i 1.16447 + 1.04850i 0.998049 + 0.0624412i \(0.0198886\pi\)
0.166424 + 0.986054i \(0.446778\pi\)
\(614\) −18.1478 + 1.90741i −0.732387 + 0.0769770i
\(615\) 27.1196 0.141682i 1.09357 0.00571319i
\(616\) 8.77449 0.0913370i 0.353534 0.00368007i
\(617\) 19.4606i 0.783454i −0.920082 0.391727i \(-0.871878\pi\)
0.920082 0.391727i \(-0.128122\pi\)
\(618\) −24.5546 + 2.71056i −0.987731 + 0.109035i
\(619\) −8.70162 + 9.66413i −0.349748 + 0.388434i −0.892191 0.451658i \(-0.850833\pi\)
0.542443 + 0.840092i \(0.317499\pi\)
\(620\) −0.253896 1.19448i −0.0101967 0.0479716i
\(621\) −13.1600 + 6.10809i −0.528091 + 0.245109i
\(622\) 7.03865 9.68787i 0.282224 0.388448i
\(623\) −5.65350 1.20016i −0.226503 0.0480836i
\(624\) −2.68579 8.12139i −0.107518 0.325116i
\(625\) 0.0789576 + 0.751231i 0.00315830 + 0.0300493i
\(626\) −14.3514 24.8574i −0.573599 0.993502i
\(627\) 0.0942428 + 6.12903i 0.00376370 + 0.244770i
\(628\) 7.26261 12.5792i 0.289809 0.501965i
\(629\) −15.3120 + 11.1248i −0.610530 + 0.443576i
\(630\) 9.10039 + 6.46410i 0.362568 + 0.257536i
\(631\) −3.25192 + 10.0084i −0.129457 + 0.398427i −0.994687 0.102948i \(-0.967172\pi\)
0.865230 + 0.501375i \(0.167172\pi\)
\(632\) 3.17306 + 7.12681i 0.126217 + 0.283489i
\(633\) 2.74234 27.4715i 0.108998 1.09189i
\(634\) −2.56185 12.0526i −0.101744 0.478668i
\(635\) 24.8734 + 5.28700i 0.987070 + 0.209808i
\(636\) −0.585778 + 0.430286i −0.0232276 + 0.0170620i
\(637\) 32.8840 + 10.6659i 1.30291 + 0.422598i
\(638\) 1.27767 1.17412i 0.0505833 0.0464838i
\(639\) 4.49257 + 2.53157i 0.177724 + 0.100148i
\(640\) −0.572012 + 1.28476i −0.0226108 + 0.0507846i
\(641\) −18.9939 17.1022i −0.750215 0.675497i 0.202527 0.979277i \(-0.435085\pi\)
−0.952742 + 0.303780i \(0.901751\pi\)
\(642\) 16.1428 14.6884i 0.637104 0.579706i
\(643\) −7.22615 5.25010i −0.284971 0.207044i 0.436111 0.899893i \(-0.356355\pi\)
−0.721083 + 0.692849i \(0.756355\pi\)
\(644\) 7.38731 0.00190643i 0.291101 7.51239e-5i
\(645\) −15.8228 5.04989i −0.623021 0.198839i
\(646\) −0.708060 + 3.33116i −0.0278583 + 0.131063i
\(647\) 14.7259 33.0749i 0.578935 1.30031i −0.352299 0.935887i \(-0.614600\pi\)
0.931234 0.364422i \(-0.118733\pi\)
\(648\) −4.66188 7.69850i −0.183136 0.302425i
\(649\) 29.8005 + 12.9072i 1.16977 + 0.506652i
\(650\) 14.9255i 0.585427i
\(651\) −2.67877 2.94247i −0.104989 0.115324i
\(652\) −7.33666 22.5799i −0.287326 0.884297i
\(653\) 28.5699 25.7245i 1.11803 1.00668i 0.118121 0.992999i \(-0.462313\pi\)
0.999906 0.0136775i \(-0.00435381\pi\)
\(654\) 1.72914 17.3217i 0.0676146 0.677330i
\(655\) −28.0754 2.95084i −1.09700 0.115299i
\(656\) 7.44985 + 8.27390i 0.290868 + 0.323041i
\(657\) −8.88372 + 2.98947i −0.346587 + 0.116630i
\(658\) −17.7062 + 3.76836i −0.690261 + 0.146906i
\(659\) 17.3596 0.676233 0.338117 0.941104i \(-0.390210\pi\)
0.338117 + 0.941104i \(0.390210\pi\)
\(660\) 6.08615 + 5.31285i 0.236903 + 0.206802i
\(661\) −8.70627 15.0797i −0.338635 0.586532i 0.645542 0.763725i \(-0.276632\pi\)
−0.984176 + 0.177193i \(0.943298\pi\)
\(662\) 13.5095 + 6.01484i 0.525064 + 0.233773i
\(663\) −26.7334 5.53654i −1.03824 0.215021i
\(664\) −3.70593 + 11.4057i −0.143818 + 0.442626i
\(665\) 3.43790 1.98605i 0.133316 0.0770159i
\(666\) −14.5014 10.3061i −0.561917 0.399353i
\(667\) 1.08560 0.977476i 0.0420345 0.0378480i
\(668\) 1.05535 1.17208i 0.0408327 0.0453493i
\(669\) −8.50221 + 19.3680i −0.328715 + 0.748809i
\(670\) 7.90589 + 4.56447i 0.305431 + 0.176341i
\(671\) −25.0925 5.06792i −0.968686 0.195645i
\(672\) 0.503988 + 4.55478i 0.0194418 + 0.175704i
\(673\) −5.93002 8.16197i −0.228585 0.314621i 0.679283 0.733877i \(-0.262291\pi\)
−0.907868 + 0.419256i \(0.862291\pi\)
\(674\) 1.09149 5.13508i 0.0420428 0.197796i
\(675\) −3.50533 15.3076i −0.134920 0.589188i
\(676\) 1.19060 11.3278i 0.0457921 0.435683i
\(677\) −1.49502 + 0.665627i −0.0574584 + 0.0255821i −0.435265 0.900303i \(-0.643345\pi\)
0.377806 + 0.925885i \(0.376679\pi\)
\(678\) 2.44966 7.67549i 0.0940786 0.294775i
\(679\) −6.58577 + 9.06945i −0.252739 + 0.348054i
\(680\) 2.63825 + 3.63124i 0.101172 + 0.139252i
\(681\) 21.5193 + 12.2747i 0.824621 + 0.470368i
\(682\) −1.71634 2.31260i −0.0657220 0.0885541i
\(683\) 33.8117 19.5212i 1.29377 0.746957i 0.314447 0.949275i \(-0.398181\pi\)
0.979320 + 0.202318i \(0.0648474\pi\)
\(684\) −3.17995 + 0.367858i −0.121589 + 0.0140654i
\(685\) 2.13684 + 6.57651i 0.0816443 + 0.251275i
\(686\) −16.0462 9.24771i −0.612646 0.353079i
\(687\) 19.2682 26.8139i 0.735127 1.02301i
\(688\) −2.77336 6.22907i −0.105733 0.237481i
\(689\) −2.02714 + 0.430882i −0.0772279 + 0.0164153i
\(690\) 5.07803 + 4.52446i 0.193317 + 0.172243i
\(691\) −4.60891 43.8508i −0.175331 1.66816i −0.629312 0.777153i \(-0.716663\pi\)
0.453981 0.891011i \(-0.350003\pi\)
\(692\) −18.0771 −0.687188
\(693\) 25.8582 + 4.93503i 0.982271 + 0.187466i
\(694\) 33.4948 1.27145
\(695\) −3.33994 31.7774i −0.126691 1.20539i
\(696\) 0.676588 + 0.602832i 0.0256460 + 0.0228503i
\(697\) 34.7573 7.38789i 1.31653 0.279836i
\(698\) 9.21017 + 20.6864i 0.348610 + 0.782991i
\(699\) 6.97586 9.70770i 0.263851 0.367179i
\(700\) −1.66044 + 7.82167i −0.0627587 + 0.295631i
\(701\) −13.3062 40.9524i −0.502570 1.54675i −0.804818 0.593521i \(-0.797737\pi\)
0.302249 0.953229i \(-0.402263\pi\)
\(702\) −3.08205 25.4762i −0.116324 0.961536i
\(703\) −5.48007 + 3.16392i −0.206685 + 0.119330i
\(704\) 0.0336663 + 3.31645i 0.00126885 + 0.124994i
\(705\) −14.4771 8.25783i −0.545240 0.311008i
\(706\) 0.695879 + 0.957796i 0.0261898 + 0.0360471i
\(707\) 3.46398 + 0.363175i 0.130276 + 0.0136586i
\(708\) −5.15655 + 16.1569i −0.193795 + 0.607215i
\(709\) 1.33042 0.592343i 0.0499651 0.0222459i −0.381602 0.924327i \(-0.624627\pi\)
0.431567 + 0.902081i \(0.357961\pi\)
\(710\) 0.252686 2.40415i 0.00948314 0.0902261i
\(711\) 5.10484 + 22.8403i 0.191447 + 0.856577i
\(712\) 0.454171 2.13671i 0.0170208 0.0800765i
\(713\) −1.42508 1.96146i −0.0533698 0.0734572i
\(714\) 13.3936 + 5.87544i 0.501243 + 0.219883i
\(715\) 9.58246 + 20.9477i 0.358364 + 0.783399i
\(716\) 16.4854 + 9.51784i 0.616088 + 0.355698i
\(717\) −19.9304 + 45.4014i −0.744316 + 1.69555i
\(718\) −22.3727 + 24.8474i −0.834943 + 0.927298i
\(719\) 2.76180 2.48674i 0.102998 0.0927396i −0.616023 0.787728i \(-0.711257\pi\)
0.719021 + 0.694988i \(0.244591\pi\)
\(720\) −2.44409 + 3.43900i −0.0910858 + 0.128164i
\(721\) 32.6849 + 18.8594i 1.21725 + 0.702360i
\(722\) 5.51948 16.9872i 0.205414 0.632198i
\(723\) 30.8158 + 6.38202i 1.14605 + 0.237350i
\(724\) 18.4854 + 8.23022i 0.687003 + 0.305874i
\(725\) 0.790588 + 1.36934i 0.0293617 + 0.0508560i
\(726\) 18.2644 + 5.42316i 0.677857 + 0.201272i
\(727\) 8.32563 0.308781 0.154390 0.988010i \(-0.450659\pi\)
0.154390 + 0.988010i \(0.450659\pi\)
\(728\) −4.03454 + 12.4279i −0.149530 + 0.460610i
\(729\) −9.14414 25.4044i −0.338672 0.940905i
\(730\) 2.94016 + 3.26538i 0.108820 + 0.120857i
\(731\) −21.6428 2.27475i −0.800486 0.0841345i
\(732\) 1.32794 13.3026i 0.0490819 0.491679i
\(733\) 20.0749 18.0755i 0.741483 0.667634i −0.209174 0.977878i \(-0.567078\pi\)
0.950657 + 0.310244i \(0.100411\pi\)
\(734\) −7.09008 21.8210i −0.261700 0.805429i
\(735\) −5.36206 16.1860i −0.197783 0.597029i
\(736\) 2.79214i 0.102920i
\(737\) 21.4328 + 2.03294i 0.789488 + 0.0748844i
\(738\) 17.0018 + 28.7499i 0.625843 + 1.05830i
\(739\) −0.897769 + 2.01642i −0.0330250 + 0.0741753i −0.929305 0.369314i \(-0.879593\pi\)
0.896280 + 0.443489i \(0.146259\pi\)
\(740\) −1.73396 + 8.15766i −0.0637418 + 0.299882i
\(741\) −8.69543 2.77518i −0.319435 0.101949i
\(742\) 1.11025 0.000286521i 0.0407586 1.05185e-5i
\(743\) −4.61210 3.35089i −0.169202 0.122932i 0.499962 0.866047i \(-0.333347\pi\)
−0.669163 + 0.743115i \(0.733347\pi\)
\(744\) 1.11241 1.01219i 0.0407829 0.0371087i
\(745\) −20.2574 18.2398i −0.742172 0.668255i
\(746\) −11.3713 + 25.5403i −0.416332 + 0.935096i
\(747\) −17.6624 + 31.3440i −0.646234 + 1.14682i
\(748\) 9.22036 + 5.19930i 0.337130 + 0.190105i
\(749\) −33.1550 + 3.49338i −1.21146 + 0.127645i
\(750\) −15.7487 + 11.5683i −0.575063 + 0.422415i
\(751\) 34.6969 + 7.37505i 1.26611 + 0.269119i 0.791550 0.611105i \(-0.209275\pi\)
0.474558 + 0.880224i \(0.342608\pi\)
\(752\) −1.42258 6.69270i −0.0518761 0.244058i
\(753\) 2.14219 21.4595i 0.0780659 0.782027i
\(754\) 1.05094 + 2.36045i 0.0382730 + 0.0859627i
\(755\) 8.79630 27.0722i 0.320130 0.985259i
\(756\) −1.21904 + 13.6936i −0.0443361 + 0.498030i
\(757\) 17.6353 12.8128i 0.640966 0.465689i −0.219216 0.975676i \(-0.570350\pi\)
0.860182 + 0.509988i \(0.170350\pi\)
\(758\) 18.9022 32.7395i 0.686557 1.18915i
\(759\) 15.3290 + 4.72139i 0.556407 + 0.171376i
\(760\) 0.750323 + 1.29960i 0.0272171 + 0.0471413i
\(761\) −0.156380 1.48786i −0.00566878 0.0539349i 0.991322 0.131457i \(-0.0419657\pi\)
−0.996991 + 0.0775226i \(0.975299\pi\)
\(762\) 9.83339 + 29.7346i 0.356226 + 1.07717i
\(763\) −17.7876 + 19.7654i −0.643954 + 0.715555i
\(764\) 2.39883 3.30170i 0.0867865 0.119451i
\(765\) 5.60509 + 12.2433i 0.202652 + 0.442658i
\(766\) 3.60165 + 16.9444i 0.130133 + 0.612227i
\(767\) −32.3579 + 35.9370i −1.16837 + 1.29761i
\(768\) −1.72159 + 0.190045i −0.0621226 + 0.00685767i
\(769\) 4.30792i 0.155348i 0.996979 + 0.0776738i \(0.0247493\pi\)
−0.996979 + 0.0776738i \(0.975251\pi\)
\(770\) −2.69127 12.0436i −0.0969865 0.434021i
\(771\) −24.1458 + 0.126146i −0.869590 + 0.00454305i
\(772\) −0.848255 + 0.0891552i −0.0305294 + 0.00320876i