Properties

Label 418.2.u.b.5.6
Level $418$
Weight $2$
Character 418.5
Analytic conductor $3.338$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.u (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(11\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 5.6
Character \(\chi\) \(=\) 418.5
Dual form 418.2.u.b.251.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.615661 - 0.788011i) q^{2} +(-0.149553 + 0.144422i) q^{3} +(-0.241922 + 0.970296i) q^{4} +(-0.227007 + 0.141850i) q^{5} +(0.205880 + 0.0289345i) q^{6} +(-4.29887 - 1.91398i) q^{7} +(0.913545 - 0.406737i) q^{8} +(-0.103190 + 2.95498i) q^{9} +O(q^{10})\) \(q+(-0.615661 - 0.788011i) q^{2} +(-0.149553 + 0.144422i) q^{3} +(-0.241922 + 0.970296i) q^{4} +(-0.227007 + 0.141850i) q^{5} +(0.205880 + 0.0289345i) q^{6} +(-4.29887 - 1.91398i) q^{7} +(0.913545 - 0.406737i) q^{8} +(-0.103190 + 2.95498i) q^{9} +(0.251538 + 0.0915525i) q^{10} +(2.16343 + 2.51387i) q^{11} +(-0.103952 - 0.180049i) q^{12} +(4.86764 - 2.58817i) q^{13} +(1.13841 + 4.56592i) q^{14} +(0.0134634 - 0.0539988i) q^{15} +(-0.882948 - 0.469472i) q^{16} +(0.215789 + 6.17939i) q^{17} +(2.39208 - 1.73795i) q^{18} +(0.374857 + 4.34275i) q^{19} +(-0.0827182 - 0.254580i) q^{20} +(0.919329 - 0.334608i) q^{21} +(0.649018 - 3.25250i) q^{22} +(-1.00149 + 0.840349i) q^{23} +(-0.0778819 + 0.192764i) q^{24} +(-2.16044 + 4.42957i) q^{25} +(-5.03632 - 2.24232i) q^{26} +(-0.828673 - 0.920335i) q^{27} +(2.89712 - 3.70814i) q^{28} +(4.26673 - 1.22346i) q^{29} +(-0.0508405 + 0.0226356i) q^{30} +(-6.66050 + 7.39723i) q^{31} +(0.173648 + 0.984808i) q^{32} +(-0.686606 - 0.0635110i) q^{33} +(4.73657 - 3.97446i) q^{34} +(1.24737 - 0.175306i) q^{35} +(-2.84224 - 0.814998i) q^{36} +(-0.869982 + 0.632079i) q^{37} +(3.19135 - 2.96906i) q^{38} +(-0.354182 + 1.09006i) q^{39} +(-0.149686 + 0.221918i) q^{40} +(3.21188 - 3.10168i) q^{41} +(-0.829670 - 0.518436i) q^{42} +(5.77707 + 4.84754i) q^{43} +(-2.96258 + 1.49101i) q^{44} +(-0.395737 - 0.685437i) q^{45} +(1.27878 + 0.271814i) q^{46} +(-6.14322 - 9.10769i) q^{47} +(0.199849 - 0.0573059i) q^{48} +(10.1330 + 11.2539i) q^{49} +(4.82065 - 1.02466i) q^{50} +(-0.924710 - 0.892982i) q^{51} +(1.33370 + 5.34919i) q^{52} +(-2.15937 - 1.34933i) q^{53} +(-0.215052 + 1.21962i) q^{54} +(-0.847706 - 0.263785i) q^{55} -4.70570 q^{56} +(-0.683248 - 0.595334i) q^{57} +(-3.59096 - 2.60899i) q^{58} +(4.88616 - 7.24403i) q^{59} +(0.0491377 + 0.0261270i) q^{60} +(2.09577 + 5.18722i) q^{61} +(9.92971 + 0.694353i) q^{62} +(6.09936 - 12.5055i) q^{63} +(0.669131 - 0.743145i) q^{64} +(-0.737857 + 1.27801i) q^{65} +(0.372669 + 0.580154i) q^{66} +(3.64234 + 1.32570i) q^{67} +(-6.04804 - 1.28555i) q^{68} +(0.0284111 - 0.270313i) q^{69} +(-0.906101 - 0.875012i) q^{70} +(-3.57839 + 2.23603i) q^{71} +(1.10763 + 2.74148i) q^{72} +(-4.97321 - 10.1966i) q^{73} +(1.03370 + 0.296408i) q^{74} +(-0.316625 - 0.974471i) q^{75} +(-4.30444 - 0.686885i) q^{76} +(-4.48881 - 14.9476i) q^{77} +(1.07704 - 0.392009i) q^{78} +(-6.41707 + 0.901861i) q^{79} +(0.267030 - 0.0186725i) q^{80} +(-8.59187 - 0.600802i) q^{81} +(-4.42159 - 0.621414i) q^{82} +(-0.0872925 + 0.0185546i) q^{83} +(0.102263 + 0.972970i) q^{84} +(-0.925530 - 1.37215i) q^{85} +(0.263192 - 7.53684i) q^{86} +(-0.461407 + 0.799181i) q^{87} +(2.99888 + 1.41659i) q^{88} +(0.840705 + 4.76787i) q^{89} +(-0.296492 + 0.733842i) q^{90} +(-25.8791 + 1.80964i) q^{91} +(-0.573105 - 1.17504i) q^{92} +(-0.0722231 - 2.06820i) q^{93} +(-3.39482 + 10.4482i) q^{94} +(-0.701113 - 0.932661i) q^{95} +(-0.168197 - 0.122202i) q^{96} +(4.47115 + 5.72281i) q^{97} +(2.62966 - 14.9135i) q^{98} +(-7.65168 + 6.13348i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q + 6 q^{3} - 9 q^{6} - 15 q^{7} + 33 q^{8} + 6 q^{9} + 3 q^{11} - 6 q^{13} + 18 q^{14} - 39 q^{15} - 3 q^{17} - 78 q^{18} - 45 q^{19} - 24 q^{20} + 48 q^{21} + 6 q^{23} - 9 q^{24} + 30 q^{25} + 18 q^{26} - 24 q^{27} + 6 q^{28} - 3 q^{31} - 63 q^{33} - 36 q^{34} + 42 q^{35} - 9 q^{36} + 60 q^{37} - 3 q^{38} + 36 q^{39} + 39 q^{41} + 6 q^{42} - 60 q^{43} + 60 q^{44} - 108 q^{45} - 12 q^{46} - 24 q^{47} - 12 q^{48} + 6 q^{49} + 18 q^{50} + 96 q^{51} + 3 q^{52} - 117 q^{53} + 54 q^{54} + 102 q^{55} - 96 q^{57} - 60 q^{58} - 141 q^{59} + 36 q^{60} + 24 q^{61} - 27 q^{62} - 81 q^{63} + 33 q^{64} - 102 q^{65} + 72 q^{66} + 102 q^{67} - 21 q^{68} - 6 q^{69} - 33 q^{70} - 66 q^{71} - 12 q^{72} + 36 q^{73} + 18 q^{74} + 6 q^{76} - 174 q^{77} + 18 q^{78} + 36 q^{79} + 60 q^{81} - 36 q^{82} - 24 q^{83} + 48 q^{84} + 174 q^{85} - 21 q^{86} + 12 q^{87} + 3 q^{88} + 30 q^{89} - 48 q^{90} - 18 q^{91} + 18 q^{92} - 123 q^{93} - 120 q^{94} - 18 q^{95} - 24 q^{97} - 84 q^{98} - 141 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.615661 0.788011i −0.435338 0.557208i
\(3\) −0.149553 + 0.144422i −0.0863445 + 0.0833819i −0.736578 0.676352i \(-0.763560\pi\)
0.650234 + 0.759734i \(0.274671\pi\)
\(4\) −0.241922 + 0.970296i −0.120961 + 0.485148i
\(5\) −0.227007 + 0.141850i −0.101521 + 0.0634371i −0.579729 0.814809i \(-0.696842\pi\)
0.478209 + 0.878246i \(0.341286\pi\)
\(6\) 0.205880 + 0.0289345i 0.0840501 + 0.0118125i
\(7\) −4.29887 1.91398i −1.62482 0.723416i −0.626394 0.779507i \(-0.715470\pi\)
−0.998426 + 0.0560904i \(0.982136\pi\)
\(8\) 0.913545 0.406737i 0.322987 0.143803i
\(9\) −0.103190 + 2.95498i −0.0343967 + 0.984992i
\(10\) 0.251538 + 0.0915525i 0.0795434 + 0.0289514i
\(11\) 2.16343 + 2.51387i 0.652299 + 0.757962i
\(12\) −0.103952 0.180049i −0.0300082 0.0519758i
\(13\) 4.86764 2.58817i 1.35004 0.717829i 0.372392 0.928076i \(-0.378538\pi\)
0.977648 + 0.210246i \(0.0674266\pi\)
\(14\) 1.13841 + 4.56592i 0.304253 + 1.22029i
\(15\) 0.0134634 0.0539988i 0.00347624 0.0139424i
\(16\) −0.882948 0.469472i −0.220737 0.117368i
\(17\) 0.215789 + 6.17939i 0.0523365 + 1.49872i 0.687409 + 0.726270i \(0.258748\pi\)
−0.635073 + 0.772452i \(0.719030\pi\)
\(18\) 2.39208 1.73795i 0.563819 0.409639i
\(19\) 0.374857 + 4.34275i 0.0859980 + 0.996295i
\(20\) −0.0827182 0.254580i −0.0184963 0.0569259i
\(21\) 0.919329 0.334608i 0.200614 0.0730175i
\(22\) 0.649018 3.25250i 0.138371 0.693436i
\(23\) −1.00149 + 0.840349i −0.208825 + 0.175225i −0.741201 0.671283i \(-0.765744\pi\)
0.532376 + 0.846508i \(0.321299\pi\)
\(24\) −0.0778819 + 0.192764i −0.0158976 + 0.0393479i
\(25\) −2.16044 + 4.42957i −0.432089 + 0.885914i
\(26\) −5.03632 2.24232i −0.987705 0.439754i
\(27\) −0.828673 0.920335i −0.159478 0.177119i
\(28\) 2.89712 3.70814i 0.547504 0.700773i
\(29\) 4.26673 1.22346i 0.792311 0.227192i 0.145014 0.989430i \(-0.453677\pi\)
0.647297 + 0.762238i \(0.275899\pi\)
\(30\) −0.0508405 + 0.0226356i −0.00928216 + 0.00413269i
\(31\) −6.66050 + 7.39723i −1.19626 + 1.32858i −0.264991 + 0.964251i \(0.585369\pi\)
−0.931269 + 0.364331i \(0.881298\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) −0.686606 0.0635110i −0.119523 0.0110558i
\(34\) 4.73657 3.97446i 0.812316 0.681614i
\(35\) 1.24737 0.175306i 0.210844 0.0296322i
\(36\) −2.84224 0.814998i −0.473706 0.135833i
\(37\) −0.869982 + 0.632079i −0.143024 + 0.103913i −0.656997 0.753894i \(-0.728173\pi\)
0.513972 + 0.857807i \(0.328173\pi\)
\(38\) 3.19135 2.96906i 0.517705 0.481644i
\(39\) −0.354182 + 1.09006i −0.0567146 + 0.174550i
\(40\) −0.149686 + 0.221918i −0.0236674 + 0.0350883i
\(41\) 3.21188 3.10168i 0.501612 0.484401i −0.400262 0.916401i \(-0.631081\pi\)
0.901874 + 0.432000i \(0.142192\pi\)
\(42\) −0.829670 0.518436i −0.128021 0.0799964i
\(43\) 5.77707 + 4.84754i 0.880995 + 0.739243i 0.966383 0.257105i \(-0.0827687\pi\)
−0.0853884 + 0.996348i \(0.527213\pi\)
\(44\) −2.96258 + 1.49101i −0.446626 + 0.224778i
\(45\) −0.395737 0.685437i −0.0589930 0.102179i
\(46\) 1.27878 + 0.271814i 0.188546 + 0.0400767i
\(47\) −6.14322 9.10769i −0.896080 1.32849i −0.944104 0.329647i \(-0.893070\pi\)
0.0480241 0.998846i \(-0.484708\pi\)
\(48\) 0.199849 0.0573059i 0.0288458 0.00827139i
\(49\) 10.1330 + 11.2539i 1.44758 + 1.60770i
\(50\) 4.82065 1.02466i 0.681743 0.144909i
\(51\) −0.924710 0.892982i −0.129485 0.125043i
\(52\) 1.33370 + 5.34919i 0.184951 + 0.741799i
\(53\) −2.15937 1.34933i −0.296613 0.185344i 0.373447 0.927652i \(-0.378176\pi\)
−0.670059 + 0.742307i \(0.733731\pi\)
\(54\) −0.215052 + 1.21962i −0.0292648 + 0.165969i
\(55\) −0.847706 0.263785i −0.114305 0.0355687i
\(56\) −4.70570 −0.628825
\(57\) −0.683248 0.595334i −0.0904984 0.0788539i
\(58\) −3.59096 2.60899i −0.471516 0.342577i
\(59\) 4.88616 7.24403i 0.636124 0.943093i −0.363809 0.931474i \(-0.618524\pi\)
0.999932 0.0116188i \(-0.00369846\pi\)
\(60\) 0.0491377 + 0.0261270i 0.00634365 + 0.00337298i
\(61\) 2.09577 + 5.18722i 0.268336 + 0.664155i 0.999844 0.0176780i \(-0.00562739\pi\)
−0.731508 + 0.681833i \(0.761183\pi\)
\(62\) 9.92971 + 0.694353i 1.26107 + 0.0881829i
\(63\) 6.09936 12.5055i 0.768447 1.57555i
\(64\) 0.669131 0.743145i 0.0836413 0.0928931i
\(65\) −0.737857 + 1.27801i −0.0915199 + 0.158517i
\(66\) 0.372669 + 0.580154i 0.0458724 + 0.0714120i
\(67\) 3.64234 + 1.32570i 0.444982 + 0.161960i 0.554786 0.831993i \(-0.312800\pi\)
−0.109804 + 0.993953i \(0.535022\pi\)
\(68\) −6.04804 1.28555i −0.733433 0.155896i
\(69\) 0.0284111 0.270313i 0.00342029 0.0325419i
\(70\) −0.906101 0.875012i −0.108300 0.104584i
\(71\) −3.57839 + 2.23603i −0.424677 + 0.265367i −0.725378 0.688351i \(-0.758335\pi\)
0.300701 + 0.953718i \(0.402779\pi\)
\(72\) 1.10763 + 2.74148i 0.130535 + 0.323086i
\(73\) −4.97321 10.1966i −0.582070 1.19342i −0.963172 0.268887i \(-0.913344\pi\)
0.381102 0.924533i \(-0.375545\pi\)
\(74\) 1.03370 + 0.296408i 0.120165 + 0.0344568i
\(75\) −0.316625 0.974471i −0.0365607 0.112522i
\(76\) −4.30444 0.686885i −0.493753 0.0787911i
\(77\) −4.48881 14.9476i −0.511547 1.70343i
\(78\) 1.07704 0.392009i 0.121950 0.0443863i
\(79\) −6.41707 + 0.901861i −0.721977 + 0.101467i −0.490585 0.871393i \(-0.663217\pi\)
−0.231392 + 0.972861i \(0.574328\pi\)
\(80\) 0.267030 0.0186725i 0.0298548 0.00208765i
\(81\) −8.59187 0.600802i −0.954653 0.0667558i
\(82\) −4.42159 0.621414i −0.488283 0.0686237i
\(83\) −0.0872925 + 0.0185546i −0.00958160 + 0.00203663i −0.212700 0.977118i \(-0.568226\pi\)
0.203118 + 0.979154i \(0.434892\pi\)
\(84\) 0.102263 + 0.972970i 0.0111578 + 0.106160i
\(85\) −0.925530 1.37215i −0.100388 0.148831i
\(86\) 0.263192 7.53684i 0.0283807 0.812718i
\(87\) −0.461407 + 0.799181i −0.0494680 + 0.0856812i
\(88\) 2.99888 + 1.41659i 0.319681 + 0.151009i
\(89\) 0.840705 + 4.76787i 0.0891145 + 0.505394i 0.996393 + 0.0848625i \(0.0270451\pi\)
−0.907278 + 0.420531i \(0.861844\pi\)
\(90\) −0.296492 + 0.733842i −0.0312530 + 0.0773538i
\(91\) −25.8791 + 1.80964i −2.71286 + 0.189702i
\(92\) −0.573105 1.17504i −0.0597503 0.122506i
\(93\) −0.0722231 2.06820i −0.00748919 0.214462i
\(94\) −3.39482 + 10.4482i −0.350149 + 1.07765i
\(95\) −0.701113 0.932661i −0.0719326 0.0956890i
\(96\) −0.168197 0.122202i −0.0171666 0.0124722i
\(97\) 4.47115 + 5.72281i 0.453976 + 0.581063i 0.959486 0.281758i \(-0.0909175\pi\)
−0.505509 + 0.862821i \(0.668695\pi\)
\(98\) 2.62966 14.9135i 0.265635 1.50649i
\(99\) −7.65168 + 6.13348i −0.769023 + 0.616438i
\(100\) −3.77533 3.16788i −0.377533 0.316788i
\(101\) −7.69884 + 4.09355i −0.766064 + 0.407323i −0.806028 0.591878i \(-0.798387\pi\)
0.0399640 + 0.999201i \(0.487276\pi\)
\(102\) −0.134371 + 1.27846i −0.0133047 + 0.126586i
\(103\) 0.527543 + 5.01923i 0.0519803 + 0.494560i 0.989280 + 0.146034i \(0.0466509\pi\)
−0.937299 + 0.348526i \(0.886682\pi\)
\(104\) 3.39411 4.34426i 0.332820 0.425990i
\(105\) −0.161230 + 0.206365i −0.0157344 + 0.0201391i
\(106\) 0.266159 + 2.53234i 0.0258517 + 0.245962i
\(107\) 0.684843 6.51585i 0.0662063 0.629911i −0.910230 0.414104i \(-0.864095\pi\)
0.976436 0.215807i \(-0.0692382\pi\)
\(108\) 1.09347 0.581409i 0.105219 0.0559461i
\(109\) −10.2480 8.59910i −0.981581 0.823644i 0.00274609 0.999996i \(-0.499126\pi\)
−0.984327 + 0.176352i \(0.943570\pi\)
\(110\) 0.314035 + 0.830403i 0.0299420 + 0.0791759i
\(111\) 0.0388225 0.220174i 0.00368487 0.0208979i
\(112\) 2.89712 + 3.70814i 0.273752 + 0.350386i
\(113\) 7.26179 + 5.27600i 0.683132 + 0.496324i 0.874395 0.485215i \(-0.161258\pi\)
−0.191263 + 0.981539i \(0.561258\pi\)
\(114\) −0.0484800 + 0.904931i −0.00454057 + 0.0847546i
\(115\) 0.108142 0.332826i 0.0100843 0.0310362i
\(116\) 0.154907 + 4.43597i 0.0143828 + 0.411869i
\(117\) 7.14569 + 14.6508i 0.660619 + 1.35447i
\(118\) −8.71660 + 0.609524i −0.802428 + 0.0561112i
\(119\) 10.8996 26.9774i 0.999163 2.47301i
\(120\) −0.00966384 0.0548064i −0.000882184 0.00500311i
\(121\) −1.63913 + 10.8772i −0.149011 + 0.988835i
\(122\) 2.79730 4.84506i 0.253255 0.438651i
\(123\) −0.0323971 + 0.927731i −0.00292115 + 0.0836507i
\(124\) −5.56618 8.25220i −0.499858 0.741070i
\(125\) −0.277799 2.64308i −0.0248471 0.236404i
\(126\) −13.6096 + 2.89282i −1.21244 + 0.257713i
\(127\) 1.18652 + 0.166755i 0.105287 + 0.0147971i 0.191620 0.981469i \(-0.438626\pi\)
−0.0863328 + 0.996266i \(0.527515\pi\)
\(128\) −0.997564 0.0697565i −0.0881730 0.00616566i
\(129\) −1.56407 + 0.109370i −0.137709 + 0.00962952i
\(130\) 1.46135 0.205380i 0.128169 0.0180130i
\(131\) 13.8396 5.03719i 1.20917 0.440101i 0.342753 0.939425i \(-0.388641\pi\)
0.866415 + 0.499324i \(0.166418\pi\)
\(132\) 0.227729 0.650846i 0.0198213 0.0566489i
\(133\) 6.70048 19.3864i 0.581005 1.68101i
\(134\) −1.19778 3.68639i −0.103472 0.318455i
\(135\) 0.318664 + 0.0913753i 0.0274262 + 0.00786434i
\(136\) 2.71052 + 5.55739i 0.232425 + 0.476542i
\(137\) 1.58142 + 3.91416i 0.135110 + 0.334409i 0.979538 0.201260i \(-0.0645037\pi\)
−0.844428 + 0.535670i \(0.820059\pi\)
\(138\) −0.230502 + 0.144033i −0.0196216 + 0.0122609i
\(139\) −7.00481 6.76447i −0.594141 0.573755i 0.335584 0.942010i \(-0.391066\pi\)
−0.929725 + 0.368255i \(0.879955\pi\)
\(140\) −0.131667 + 1.25273i −0.0111279 + 0.105875i
\(141\) 2.23408 + 0.474869i 0.188144 + 0.0399912i
\(142\) 3.96509 + 1.44317i 0.332743 + 0.121108i
\(143\) 17.0371 + 6.63730i 1.42472 + 0.555039i
\(144\) 1.47839 2.56064i 0.123199 0.213387i
\(145\) −0.795028 + 0.882968i −0.0660235 + 0.0733265i
\(146\) −4.97321 + 10.1966i −0.411585 + 0.843875i
\(147\) −3.14073 0.219621i −0.259043 0.0181141i
\(148\) −0.402836 0.997053i −0.0331129 0.0819573i
\(149\) 15.2945 + 8.13222i 1.25297 + 0.666217i 0.957307 0.289074i \(-0.0933475\pi\)
0.295666 + 0.955291i \(0.404459\pi\)
\(150\) −0.572960 + 0.849448i −0.0467820 + 0.0693571i
\(151\) 3.49639 + 2.54028i 0.284532 + 0.206725i 0.720892 0.693048i \(-0.243732\pi\)
−0.436360 + 0.899772i \(0.643732\pi\)
\(152\) 2.10880 + 3.81483i 0.171047 + 0.309424i
\(153\) −18.2822 −1.47803
\(154\) −9.01527 + 12.7399i −0.726471 + 1.02661i
\(155\) 0.462684 2.62401i 0.0371637 0.210766i
\(156\) −0.971998 0.607371i −0.0778221 0.0486286i
\(157\) 1.21516 + 4.87376i 0.0969806 + 0.388968i 0.999095 0.0425284i \(-0.0135413\pi\)
−0.902115 + 0.431496i \(0.857986\pi\)
\(158\) 4.66142 + 4.50148i 0.370843 + 0.358119i
\(159\) 0.517813 0.110065i 0.0410652 0.00872868i
\(160\) −0.179114 0.198926i −0.0141602 0.0157265i
\(161\) 5.91368 1.69572i 0.466063 0.133641i
\(162\) 4.81625 + 7.14038i 0.378400 + 0.561001i
\(163\) −10.2423 2.17707i −0.802238 0.170521i −0.211493 0.977379i \(-0.567833\pi\)
−0.590745 + 0.806859i \(0.701166\pi\)
\(164\) 2.23252 + 3.86684i 0.174331 + 0.301950i
\(165\) 0.164873 0.0829773i 0.0128354 0.00645978i
\(166\) 0.0683639 + 0.0573641i 0.00530607 + 0.00445232i
\(167\) −11.5588 7.22274i −0.894446 0.558912i 0.00301970 0.999995i \(-0.499039\pi\)
−0.897466 + 0.441083i \(0.854594\pi\)
\(168\) 0.703751 0.679605i 0.0542956 0.0524326i
\(169\) 9.72579 14.4191i 0.748138 1.10916i
\(170\) −0.511459 + 1.57411i −0.0392272 + 0.120729i
\(171\) −12.8714 + 0.659563i −0.984301 + 0.0504381i
\(172\) −6.10115 + 4.43274i −0.465208 + 0.337993i
\(173\) 5.05136 + 1.44845i 0.384048 + 0.110124i 0.462106 0.886825i \(-0.347094\pi\)
−0.0780577 + 0.996949i \(0.524872\pi\)
\(174\) 0.913833 0.128431i 0.0692775 0.00973632i
\(175\) 17.7656 14.9071i 1.34295 1.12687i
\(176\) −0.730005 3.23529i −0.0550262 0.243869i
\(177\) 0.315455 + 1.78903i 0.0237111 + 0.134472i
\(178\) 3.23955 3.59788i 0.242814 0.269673i
\(179\) −13.2297 + 5.89024i −0.988834 + 0.440257i −0.836438 0.548062i \(-0.815366\pi\)
−0.152396 + 0.988319i \(0.548699\pi\)
\(180\) 0.760814 0.218160i 0.0567077 0.0162607i
\(181\) 9.43618 12.0778i 0.701386 0.897733i −0.296980 0.954884i \(-0.595979\pi\)
0.998366 + 0.0571509i \(0.0182016\pi\)
\(182\) 17.3587 + 19.2788i 1.28672 + 1.42904i
\(183\) −1.06258 0.473089i −0.0785479 0.0349718i
\(184\) −0.573105 + 1.17504i −0.0422499 + 0.0866250i
\(185\) 0.107832 0.266893i 0.00792795 0.0196224i
\(186\) −1.58530 + 1.33022i −0.116240 + 0.0975367i
\(187\) −15.0674 + 13.9112i −1.10184 + 1.01728i
\(188\) 10.3233 3.75739i 0.752906 0.274036i
\(189\) 1.80086 + 5.54246i 0.130993 + 0.403155i
\(190\) −0.303299 + 1.12669i −0.0220036 + 0.0817385i
\(191\) 14.4090 10.4688i 1.04260 0.757493i 0.0718078 0.997418i \(-0.477123\pi\)
0.970791 + 0.239926i \(0.0771232\pi\)
\(192\) 0.00725572 + 0.207777i 0.000523636 + 0.0149950i
\(193\) 11.4982 + 6.11368i 0.827655 + 0.440072i 0.828542 0.559927i \(-0.189171\pi\)
−0.000886296 1.00000i \(0.500282\pi\)
\(194\) 1.75692 7.04663i 0.126140 0.505918i
\(195\) −0.0742230 0.297692i −0.00531522 0.0213182i
\(196\) −13.3710 + 7.10948i −0.955071 + 0.507820i
\(197\) −4.56906 7.91384i −0.325532 0.563838i 0.656088 0.754684i \(-0.272210\pi\)
−0.981620 + 0.190847i \(0.938877\pi\)
\(198\) 9.54409 + 2.25346i 0.678269 + 0.160146i
\(199\) −7.48325 2.72368i −0.530473 0.193077i 0.0628763 0.998021i \(-0.479973\pi\)
−0.593350 + 0.804945i \(0.702195\pi\)
\(200\) −0.171997 + 4.92534i −0.0121620 + 0.348274i
\(201\) −0.736183 + 0.327770i −0.0519263 + 0.0231191i
\(202\) 7.96564 + 3.54653i 0.560461 + 0.249533i
\(203\) −20.6838 2.90692i −1.45172 0.204025i
\(204\) 1.09016 0.681210i 0.0763268 0.0476943i
\(205\) −0.289147 + 1.15971i −0.0201949 + 0.0809974i
\(206\) 3.63042 3.50586i 0.252943 0.244265i
\(207\) −2.37987 3.04609i −0.165412 0.211718i
\(208\) −5.51294 −0.382254
\(209\) −10.1062 + 10.3376i −0.699057 + 0.715066i
\(210\) 0.261881 0.0180715
\(211\) 17.0557 + 21.8303i 1.17416 + 1.50286i 0.824390 + 0.566023i \(0.191519\pi\)
0.349771 + 0.936835i \(0.386259\pi\)
\(212\) 1.83165 1.76880i 0.125798 0.121482i
\(213\) 0.212228 0.851201i 0.0145416 0.0583233i
\(214\) −5.55619 + 3.47189i −0.379813 + 0.237334i
\(215\) −1.99906 0.280949i −0.136334 0.0191606i
\(216\) −1.13136 0.503716i −0.0769796 0.0342735i
\(217\) 42.7908 19.0517i 2.90483 1.29331i
\(218\) −0.466879 + 13.3697i −0.0316211 + 0.905509i
\(219\) 2.21637 + 0.806691i 0.149768 + 0.0545111i
\(220\) 0.461028 0.758710i 0.0310825 0.0511522i
\(221\) 17.0437 + 29.5206i 1.14648 + 1.98577i
\(222\) −0.197401 + 0.104960i −0.0132487 + 0.00704444i
\(223\) 6.65510 + 26.6921i 0.445658 + 1.78744i 0.600639 + 0.799520i \(0.294913\pi\)
−0.154980 + 0.987918i \(0.549531\pi\)
\(224\) 1.13841 4.56592i 0.0760633 0.305073i
\(225\) −12.8663 6.84115i −0.857755 0.456077i
\(226\) −0.313260 8.97060i −0.0208378 0.596715i
\(227\) 12.6785 9.21148i 0.841503 0.611388i −0.0812872 0.996691i \(-0.525903\pi\)
0.922790 + 0.385303i \(0.125903\pi\)
\(228\) 0.742943 0.518929i 0.0492026 0.0343669i
\(229\) 4.56030 + 14.0351i 0.301353 + 0.927469i 0.981013 + 0.193942i \(0.0621272\pi\)
−0.679660 + 0.733527i \(0.737873\pi\)
\(230\) −0.328849 + 0.119691i −0.0216837 + 0.00789221i
\(231\) 2.83007 + 1.58717i 0.186205 + 0.104428i
\(232\) 3.40022 2.85312i 0.223235 0.187317i
\(233\) 6.36520 15.7544i 0.416998 1.03211i −0.561799 0.827274i \(-0.689891\pi\)
0.978797 0.204832i \(-0.0656649\pi\)
\(234\) 7.14569 14.6508i 0.467128 0.957755i
\(235\) 2.68647 + 1.19610i 0.175246 + 0.0780247i
\(236\) 5.84678 + 6.49351i 0.380593 + 0.422692i
\(237\) 0.829444 1.06164i 0.0538782 0.0689610i
\(238\) −27.9689 + 8.01996i −1.81296 + 0.519857i
\(239\) 11.1525 4.96541i 0.721395 0.321186i −0.0129933 0.999916i \(-0.504136\pi\)
0.734388 + 0.678730i \(0.237469\pi\)
\(240\) −0.0372384 + 0.0413574i −0.00240373 + 0.00266961i
\(241\) 0.522752 + 2.96467i 0.0336734 + 0.190971i 0.997004 0.0773443i \(-0.0246441\pi\)
−0.963331 + 0.268316i \(0.913533\pi\)
\(242\) 9.58049 5.40502i 0.615857 0.347448i
\(243\) 4.21779 3.53915i 0.270572 0.227036i
\(244\) −5.54015 + 0.778617i −0.354672 + 0.0498459i
\(245\) −3.89663 1.11734i −0.248946 0.0713842i
\(246\) 0.751008 0.545639i 0.0478825 0.0347887i
\(247\) 13.0644 + 20.1688i 0.831271 + 1.28331i
\(248\) −3.07594 + 9.46678i −0.195323 + 0.601141i
\(249\) 0.0103752 0.0153818i 0.000657500 0.000974784i
\(250\) −1.91174 + 1.84615i −0.120909 + 0.116761i
\(251\) −16.0835 10.0501i −1.01518 0.634354i −0.0830743 0.996543i \(-0.526474\pi\)
−0.932105 + 0.362189i \(0.882029\pi\)
\(252\) 10.6585 + 8.94355i 0.671423 + 0.563391i
\(253\) −4.27918 0.699579i −0.269030 0.0439822i
\(254\) −0.599093 1.03766i −0.0375904 0.0651085i
\(255\) 0.336585 + 0.0715433i 0.0210778 + 0.00448021i
\(256\) 0.559193 + 0.829038i 0.0349496 + 0.0518148i
\(257\) −8.21188 + 2.35472i −0.512243 + 0.146883i −0.521795 0.853071i \(-0.674737\pi\)
0.00955178 + 0.999954i \(0.496960\pi\)
\(258\) 1.04912 + 1.16517i 0.0653154 + 0.0725401i
\(259\) 4.94972 1.05210i 0.307561 0.0653741i
\(260\) −1.06154 1.02512i −0.0658339 0.0635750i
\(261\) 3.17502 + 12.7343i 0.196529 + 0.788235i
\(262\) −12.4898 7.80452i −0.771625 0.482165i
\(263\) −4.44434 + 25.2051i −0.274050 + 1.55422i 0.467913 + 0.883774i \(0.345006\pi\)
−0.741963 + 0.670441i \(0.766105\pi\)
\(264\) −0.653078 + 0.221247i −0.0401942 + 0.0136168i
\(265\) 0.681594 0.0418700
\(266\) −19.4019 + 6.65540i −1.18961 + 0.408069i
\(267\) −0.814314 0.591634i −0.0498352 0.0362074i
\(268\) −2.16748 + 3.21343i −0.132400 + 0.196291i
\(269\) 25.4785 + 13.5471i 1.55345 + 0.825984i 0.999976 0.00688237i \(-0.00219074\pi\)
0.553474 + 0.832867i \(0.313302\pi\)
\(270\) −0.124184 0.307367i −0.00755761 0.0187057i
\(271\) −4.06702 0.284394i −0.247054 0.0172757i −0.0543073 0.998524i \(-0.517295\pi\)
−0.192747 + 0.981249i \(0.561740\pi\)
\(272\) 2.71052 5.55739i 0.164349 0.336966i
\(273\) 3.60894 4.00813i 0.218423 0.242583i
\(274\) 2.11078 3.65598i 0.127517 0.220866i
\(275\) −15.8094 + 4.15198i −0.953340 + 0.250374i
\(276\) 0.255411 + 0.0929619i 0.0153739 + 0.00559565i
\(277\) 8.91724 + 1.89542i 0.535785 + 0.113885i 0.467855 0.883805i \(-0.345027\pi\)
0.0679304 + 0.997690i \(0.478360\pi\)
\(278\) −1.01788 + 9.68449i −0.0610485 + 0.580837i
\(279\) −21.1713 20.4449i −1.26749 1.22401i
\(280\) 1.06823 0.667501i 0.0638387 0.0398908i
\(281\) −11.0157 27.2647i −0.657139 1.62648i −0.773894 0.633315i \(-0.781694\pi\)
0.116755 0.993161i \(-0.462751\pi\)
\(282\) −1.00124 2.05284i −0.0596228 0.122245i
\(283\) −4.35450 1.24863i −0.258848 0.0742235i 0.143704 0.989621i \(-0.454099\pi\)
−0.402552 + 0.915397i \(0.631877\pi\)
\(284\) −1.30392 4.01304i −0.0773731 0.238130i
\(285\) 0.239550 + 0.0382264i 0.0141897 + 0.00226434i
\(286\) −5.25884 17.5118i −0.310962 1.03549i
\(287\) −19.7440 + 7.18623i −1.16545 + 0.424190i
\(288\) −2.92800 + 0.411504i −0.172534 + 0.0242481i
\(289\) −21.1797 + 1.48103i −1.24587 + 0.0871195i
\(290\) 1.18526 + 0.0828812i 0.0696007 + 0.00486695i
\(291\) −1.49517 0.210133i −0.0876485 0.0123182i
\(292\) 11.0968 2.35870i 0.649393 0.138033i
\(293\) 0.403974 + 3.84356i 0.0236004 + 0.224543i 0.999965 + 0.00841133i \(0.00267744\pi\)
−0.976364 + 0.216132i \(0.930656\pi\)
\(294\) 1.76056 + 2.61014i 0.102678 + 0.152227i
\(295\) −0.0816289 + 2.33754i −0.00475262 + 0.136097i
\(296\) −0.537678 + 0.931286i −0.0312519 + 0.0541299i
\(297\) 0.520828 4.07426i 0.0302215 0.236413i
\(298\) −3.00795 17.0589i −0.174246 0.988196i
\(299\) −2.69992 + 6.68254i −0.156140 + 0.386461i
\(300\) 1.02212 0.0714738i 0.0590123 0.00412654i
\(301\) −15.5568 31.8961i −0.896678 1.83846i
\(302\) −0.150828 4.31915i −0.00867917 0.248539i
\(303\) 0.560188 1.72408i 0.0321820 0.0990460i
\(304\) 1.70782 4.01041i 0.0979502 0.230013i
\(305\) −1.21156 0.880250i −0.0693737 0.0504029i
\(306\) 11.2557 + 14.4066i 0.643443 + 0.823569i
\(307\) 2.07283 11.7556i 0.118303 0.670929i −0.866759 0.498727i \(-0.833801\pi\)
0.985062 0.172202i \(-0.0550880\pi\)
\(308\) 15.5895 0.739322i 0.888295 0.0421268i
\(309\) −0.803782 0.674453i −0.0457255 0.0383683i
\(310\) −2.35261 + 1.25090i −0.133619 + 0.0710465i
\(311\) 3.09631 29.4594i 0.175575 1.67049i −0.452065 0.891985i \(-0.649313\pi\)
0.627641 0.778503i \(-0.284021\pi\)
\(312\) 0.119806 + 1.13988i 0.00678269 + 0.0645330i
\(313\) 9.70971 12.4279i 0.548825 0.702464i −0.430993 0.902355i \(-0.641837\pi\)
0.979818 + 0.199891i \(0.0640589\pi\)
\(314\) 3.09244 3.95815i 0.174517 0.223371i
\(315\) 0.389310 + 3.70404i 0.0219351 + 0.208699i
\(316\) 0.677359 6.44464i 0.0381044 0.362539i
\(317\) −11.5456 + 6.13890i −0.648465 + 0.344795i −0.760905 0.648864i \(-0.775245\pi\)
0.112440 + 0.993659i \(0.464133\pi\)
\(318\) −0.405529 0.340280i −0.0227410 0.0190819i
\(319\) 12.3064 + 8.07913i 0.689026 + 0.452345i
\(320\) −0.0464824 + 0.263615i −0.00259845 + 0.0147365i
\(321\) 0.838609 + 1.07337i 0.0468066 + 0.0599097i
\(322\) −4.97707 3.61605i −0.277361 0.201515i
\(323\) −26.7547 + 3.25350i −1.48867 + 0.181030i
\(324\) 2.66152 8.19131i 0.147862 0.455073i
\(325\) 0.948209 + 27.1531i 0.0525972 + 1.50619i
\(326\) 4.59023 + 9.41137i 0.254229 + 0.521247i
\(327\) 2.77452 0.194013i 0.153431 0.0107290i
\(328\) 1.67263 4.13992i 0.0923558 0.228589i
\(329\) 8.97694 + 50.9108i 0.494915 + 2.80680i
\(330\) −0.166893 0.0788359i −0.00918716 0.00433978i
\(331\) −3.74999 + 6.49517i −0.206118 + 0.357007i −0.950488 0.310760i \(-0.899416\pi\)
0.744370 + 0.667767i \(0.232750\pi\)
\(332\) 0.00311452 0.0891883i 0.000170932 0.00489485i
\(333\) −1.77800 2.63600i −0.0974340 0.144452i
\(334\) 1.42471 + 13.5552i 0.0779567 + 0.741708i
\(335\) −1.01489 + 0.215721i −0.0554492 + 0.0117861i
\(336\) −0.968808 0.136157i −0.0528528 0.00742798i
\(337\) 19.6365 + 1.37312i 1.06967 + 0.0747984i 0.593717 0.804674i \(-0.297660\pi\)
0.475950 + 0.879472i \(0.342104\pi\)
\(338\) −17.3502 + 1.21324i −0.943725 + 0.0659917i
\(339\) −1.84799 + 0.259718i −0.100369 + 0.0141060i
\(340\) 1.55530 0.566084i 0.0843481 0.0307002i
\(341\) −33.0052 0.740245i −1.78733 0.0400865i
\(342\) 8.44417 + 9.73673i 0.456608 + 0.526502i
\(343\) −11.8419 36.4457i −0.639404 1.96788i
\(344\) 7.24929 + 2.07870i 0.390855 + 0.112076i
\(345\) 0.0318944 + 0.0653931i 0.00171713 + 0.00352065i
\(346\) −1.96853 4.87229i −0.105829 0.261936i
\(347\) 5.91051 3.69330i 0.317293 0.198267i −0.361918 0.932210i \(-0.617878\pi\)
0.679211 + 0.733943i \(0.262322\pi\)
\(348\) −0.663817 0.641041i −0.0355843 0.0343634i
\(349\) 0.194549 1.85101i 0.0104140 0.0990825i −0.988080 0.153940i \(-0.950804\pi\)
0.998494 + 0.0548574i \(0.0174704\pi\)
\(350\) −22.6845 4.82174i −1.21254 0.257733i
\(351\) −6.41567 2.33511i −0.342443 0.124639i
\(352\) −2.10001 + 2.56709i −0.111931 + 0.136827i
\(353\) 15.2301 26.3793i 0.810616 1.40403i −0.101818 0.994803i \(-0.532466\pi\)
0.912434 0.409225i \(-0.134201\pi\)
\(354\) 1.21556 1.35002i 0.0646065 0.0717528i
\(355\) 0.495139 1.01519i 0.0262793 0.0538805i
\(356\) −4.82963 0.337721i −0.255970 0.0178992i
\(357\) 2.26606 + 5.60869i 0.119932 + 0.296843i
\(358\) 12.7866 + 6.79875i 0.675792 + 0.359325i
\(359\) 3.43708 5.09568i 0.181402 0.268939i −0.727358 0.686258i \(-0.759252\pi\)
0.908760 + 0.417318i \(0.137030\pi\)
\(360\) −0.640316 0.465217i −0.0337476 0.0245191i
\(361\) −18.7190 + 3.25582i −0.985209 + 0.171359i
\(362\) −15.3269 −0.805564
\(363\) −1.32577 1.86344i −0.0695847 0.0978053i
\(364\) 4.50482 25.5481i 0.236117 1.33909i
\(365\) 2.57533 + 1.60925i 0.134799 + 0.0842318i
\(366\) 0.281388 + 1.12858i 0.0147084 + 0.0589920i
\(367\) −3.69055 3.56392i −0.192645 0.186035i 0.592080 0.805879i \(-0.298307\pi\)
−0.784725 + 0.619844i \(0.787196\pi\)
\(368\) 1.27878 0.271814i 0.0666611 0.0141693i
\(369\) 8.83395 + 9.81110i 0.459877 + 0.510745i
\(370\) −0.276702 + 0.0793431i −0.0143851 + 0.00412485i
\(371\) 6.70028 + 9.93357i 0.347861 + 0.515725i
\(372\) 2.02424 + 0.430265i 0.104952 + 0.0223082i
\(373\) −12.5699 21.7717i −0.650846 1.12730i −0.982918 0.184044i \(-0.941081\pi\)
0.332072 0.943254i \(-0.392252\pi\)
\(374\) 20.2385 + 3.30868i 1.04651 + 0.171088i
\(375\) 0.423263 + 0.355160i 0.0218572 + 0.0183404i
\(376\) −9.31654 5.82162i −0.480464 0.300227i
\(377\) 17.6024 16.9984i 0.906567 0.875462i
\(378\) 3.25880 4.83137i 0.167615 0.248499i
\(379\) 2.55483 7.86295i 0.131233 0.403893i −0.863752 0.503917i \(-0.831892\pi\)
0.994985 + 0.100024i \(0.0318919\pi\)
\(380\) 1.07457 0.454655i 0.0551244 0.0233233i
\(381\) −0.201531 + 0.146421i −0.0103248 + 0.00750138i
\(382\) −17.1206 4.90924i −0.875964 0.251179i
\(383\) 34.9970 4.91850i 1.78826 0.251324i 0.834312 0.551293i \(-0.185865\pi\)
0.953949 + 0.299969i \(0.0969763\pi\)
\(384\) 0.159263 0.133638i 0.00812736 0.00681966i
\(385\) 3.13930 + 2.75647i 0.159993 + 0.140483i
\(386\) −2.26133 12.8246i −0.115099 0.652756i
\(387\) −14.9205 + 16.5709i −0.758451 + 0.842345i
\(388\) −6.63449 + 2.95386i −0.336815 + 0.149960i
\(389\) 8.20405 2.35247i 0.415962 0.119275i −0.0611274 0.998130i \(-0.519470\pi\)
0.477089 + 0.878855i \(0.341692\pi\)
\(390\) −0.188888 + 0.241766i −0.00956473 + 0.0122423i
\(391\) −5.40896 6.00725i −0.273543 0.303800i
\(392\) 13.8344 + 6.15945i 0.698740 + 0.311099i
\(393\) −1.34227 + 2.75206i −0.0677085 + 0.138823i
\(394\) −3.42320 + 8.47271i −0.172458 + 0.426849i
\(395\) 1.32879 1.11499i 0.0668587 0.0561011i
\(396\) −4.10018 8.90822i −0.206042 0.447655i
\(397\) −20.5137 + 7.46639i −1.02956 + 0.374727i −0.800912 0.598783i \(-0.795651\pi\)
−0.228644 + 0.973510i \(0.573429\pi\)
\(398\) 2.46086 + 7.57375i 0.123352 + 0.379638i
\(399\) 1.79774 + 3.86699i 0.0899994 + 0.193591i
\(400\) 3.98712 2.89681i 0.199356 0.144840i
\(401\) −0.408420 11.6956i −0.0203955 0.584051i −0.965971 0.258649i \(-0.916723\pi\)
0.945576 0.325402i \(-0.105500\pi\)
\(402\) 0.711525 + 0.378325i 0.0354877 + 0.0188691i
\(403\) −13.2756 + 53.2456i −0.661305 + 2.65235i
\(404\) −2.10943 8.46048i −0.104948 0.420924i
\(405\) 2.03564 1.08237i 0.101152 0.0537833i
\(406\) 10.4435 + 18.0887i 0.518303 + 0.897728i
\(407\) −3.47111 0.819565i −0.172057 0.0406244i
\(408\) −1.20797 0.439666i −0.0598036 0.0217667i
\(409\) 1.02469 29.3432i 0.0506674 1.45093i −0.662042 0.749466i \(-0.730310\pi\)
0.712710 0.701459i \(-0.247468\pi\)
\(410\) 1.09188 0.486136i 0.0539240 0.0240085i
\(411\) −0.801796 0.356983i −0.0395497 0.0176087i
\(412\) −4.99776 0.702390i −0.246222 0.0346043i
\(413\) −34.8699 + 21.7891i −1.71584 + 1.07217i
\(414\) −0.935160 + 3.75072i −0.0459606 + 0.184338i
\(415\) 0.0171840 0.0165944i 0.000843531 0.000814589i
\(416\) 3.39411 + 4.34426i 0.166410 + 0.212995i
\(417\) 2.02453 0.0991415
\(418\) 14.3681 + 1.59930i 0.702767 + 0.0782244i
\(419\) 20.0973 0.981817 0.490908 0.871211i \(-0.336665\pi\)
0.490908 + 0.871211i \(0.336665\pi\)
\(420\) −0.161230 0.206365i −0.00786721 0.0100696i
\(421\) −23.7326 + 22.9183i −1.15665 + 1.11697i −0.165234 + 0.986254i \(0.552838\pi\)
−0.991420 + 0.130714i \(0.958273\pi\)
\(422\) 6.70196 26.8801i 0.326247 1.30850i
\(423\) 27.5469 17.2132i 1.33938 0.836936i
\(424\) −2.52151 0.354375i −0.122455 0.0172100i
\(425\) −27.8382 12.3944i −1.35035 0.601216i
\(426\) −0.801416 + 0.356814i −0.0388288 + 0.0172877i
\(427\) 0.918781 26.3104i 0.0444629 1.27325i
\(428\) 6.15662 + 2.24083i 0.297591 + 0.108314i
\(429\) −3.50653 + 1.46790i −0.169297 + 0.0708711i
\(430\) 1.00935 + 1.74825i 0.0486752 + 0.0843080i
\(431\) −0.244753 + 0.130137i −0.0117893 + 0.00626850i −0.475356 0.879794i \(-0.657681\pi\)
0.463566 + 0.886062i \(0.346570\pi\)
\(432\) 0.299604 + 1.20165i 0.0144147 + 0.0578142i
\(433\) −0.335577 + 1.34593i −0.0161268 + 0.0646811i −0.977820 0.209447i \(-0.932834\pi\)
0.961693 + 0.274128i \(0.0883892\pi\)
\(434\) −41.3575 21.9902i −1.98523 1.05556i
\(435\) −0.00862089 0.246870i −0.000413340 0.0118365i
\(436\) 10.8229 7.86329i 0.518322 0.376583i
\(437\) −4.02484 4.03421i −0.192534 0.192982i
\(438\) −0.728850 2.24317i −0.0348258 0.107183i
\(439\) 24.9662 9.08696i 1.19157 0.433697i 0.331297 0.943527i \(-0.392514\pi\)
0.860275 + 0.509830i \(0.170292\pi\)
\(440\) −0.881709 + 0.103814i −0.0420338 + 0.00494913i
\(441\) −34.3006 + 28.7816i −1.63336 + 1.37055i
\(442\) 12.7694 31.6053i 0.607377 1.50331i
\(443\) −1.28369 + 2.63196i −0.0609902 + 0.125048i −0.927112 0.374785i \(-0.877717\pi\)
0.866122 + 0.499833i \(0.166605\pi\)
\(444\) 0.204241 + 0.0909341i 0.00969287 + 0.00431554i
\(445\) −0.867167 0.963086i −0.0411077 0.0456547i
\(446\) 16.9364 21.6776i 0.801962 1.02646i
\(447\) −3.46180 + 0.992656i −0.163738 + 0.0469510i
\(448\) −4.29887 + 1.91398i −0.203102 + 0.0904270i
\(449\) −9.86940 + 10.9611i −0.465766 + 0.517285i −0.929567 0.368654i \(-0.879819\pi\)
0.463801 + 0.885939i \(0.346485\pi\)
\(450\) 2.53040 + 14.3506i 0.119284 + 0.676495i
\(451\) 14.7459 + 1.36400i 0.694358 + 0.0642281i
\(452\) −6.87606 + 5.76970i −0.323423 + 0.271384i
\(453\) −0.889767 + 0.125049i −0.0418049 + 0.00587530i
\(454\) −15.0644 4.31965i −0.707008 0.202731i
\(455\) 5.61803 4.08173i 0.263377 0.191355i
\(456\) −0.866323 0.265963i −0.0405693 0.0124548i
\(457\) 5.26316 16.1983i 0.246200 0.757726i −0.749237 0.662302i \(-0.769579\pi\)
0.995437 0.0954237i \(-0.0304206\pi\)
\(458\) 8.25225 12.2345i 0.385602 0.571679i
\(459\) 5.50829 5.31929i 0.257105 0.248283i
\(460\) 0.296778 + 0.185447i 0.0138373 + 0.00864652i
\(461\) −2.61953 2.19805i −0.122004 0.102373i 0.579745 0.814798i \(-0.303152\pi\)
−0.701748 + 0.712425i \(0.747597\pi\)
\(462\) −0.491654 3.20729i −0.0228738 0.149217i
\(463\) 2.91194 + 5.04362i 0.135329 + 0.234397i 0.925723 0.378202i \(-0.123457\pi\)
−0.790394 + 0.612599i \(0.790124\pi\)
\(464\) −4.34168 0.922852i −0.201557 0.0428423i
\(465\) 0.309768 + 0.459250i 0.0143652 + 0.0212972i
\(466\) −16.3335 + 4.68354i −0.756633 + 0.216961i
\(467\) 24.6177 + 27.3407i 1.13917 + 1.26518i 0.959581 + 0.281434i \(0.0908100\pi\)
0.179589 + 0.983742i \(0.442523\pi\)
\(468\) −15.9443 + 3.38907i −0.737027 + 0.156660i
\(469\) −13.1206 12.6704i −0.605851 0.585064i
\(470\) −0.711423 2.85336i −0.0328155 0.131616i
\(471\) −0.885607 0.553389i −0.0408066 0.0254988i
\(472\) 1.51732 8.60513i 0.0698402 0.396083i
\(473\) 0.312199 + 25.0101i 0.0143549 + 1.14997i
\(474\) −1.34724 −0.0618808
\(475\) −20.0464 7.72182i −0.919790 0.354301i
\(476\) 23.5392 + 17.1022i 1.07892 + 0.783880i
\(477\) 4.21005 6.24166i 0.192765 0.285786i
\(478\) −10.7790 5.73127i −0.493018 0.262142i
\(479\) −1.12183 2.77663i −0.0512578 0.126867i 0.899382 0.437163i \(-0.144017\pi\)
−0.950640 + 0.310295i \(0.899572\pi\)
\(480\) 0.0555163 + 0.00388208i 0.00253396 + 0.000177192i
\(481\) −2.59883 + 5.32839i −0.118497 + 0.242954i
\(482\) 2.01436 2.23717i 0.0917515 0.101900i
\(483\) −0.639510 + 1.10766i −0.0290987 + 0.0504004i
\(484\) −10.1576 4.22187i −0.461707 0.191903i
\(485\) −1.82676 0.664886i −0.0829489 0.0301909i
\(486\) −5.38562 1.14475i −0.244297 0.0519269i
\(487\) 1.29098 12.2829i 0.0585000 0.556591i −0.925541 0.378648i \(-0.876389\pi\)
0.984041 0.177943i \(-0.0569442\pi\)
\(488\) 4.02442 + 3.88633i 0.182177 + 0.175926i
\(489\) 1.84618 1.15362i 0.0834872 0.0521686i
\(490\) 1.51853 + 3.75849i 0.0686001 + 0.169791i
\(491\) 0.802430 + 1.64522i 0.0362131 + 0.0742480i 0.916134 0.400873i \(-0.131293\pi\)
−0.879920 + 0.475121i \(0.842404\pi\)
\(492\) −0.892336 0.255873i −0.0402296 0.0115357i
\(493\) 8.48098 + 26.1018i 0.381964 + 1.17556i
\(494\) 7.84992 22.7120i 0.353185 1.02186i
\(495\) 0.866952 2.47773i 0.0389666 0.111366i
\(496\) 9.35366 3.40445i 0.419992 0.152864i
\(497\) 19.6627 2.76342i 0.881994 0.123956i
\(498\) −0.0185086 + 0.00129425i −0.000829392 + 5.79967e-5i
\(499\) 33.3014 + 2.32866i 1.49078 + 0.104245i 0.791748 0.610848i \(-0.209171\pi\)
0.699029 + 0.715093i \(0.253616\pi\)
\(500\) 2.63177 + 0.369871i 0.117696 + 0.0165412i
\(501\) 2.77177 0.589159i 0.123834 0.0263217i
\(502\) 1.98241 + 18.8614i 0.0884793 + 0.841824i
\(503\) 3.19910 + 4.74286i 0.142641 + 0.211473i 0.893587 0.448889i \(-0.148180\pi\)
−0.750947 + 0.660363i \(0.770402\pi\)
\(504\) 0.485581 13.9052i 0.0216295 0.619388i
\(505\) 1.16702 2.02134i 0.0519318 0.0899485i
\(506\) 2.08325 + 3.80275i 0.0926119 + 0.169053i
\(507\) 0.627906 + 3.56103i 0.0278863 + 0.158151i
\(508\) −0.448848 + 1.11094i −0.0199144 + 0.0492899i
\(509\) 16.4222 1.14835i 0.727902 0.0508999i 0.299003 0.954252i \(-0.403346\pi\)
0.428899 + 0.903352i \(0.358901\pi\)
\(510\) −0.150845 0.309279i −0.00667954 0.0136951i
\(511\) 1.86311 + 53.3524i 0.0824190 + 2.36017i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) 3.68615 3.94371i 0.162748 0.174119i
\(514\) 6.91128 + 5.02134i 0.304844 + 0.221482i
\(515\) −0.831732 1.06457i −0.0366505 0.0469105i
\(516\) 0.272261 1.54407i 0.0119856 0.0679738i
\(517\) 9.60516 35.1471i 0.422435 1.54577i
\(518\) −3.87642 3.25270i −0.170320 0.142915i
\(519\) −0.964635 + 0.512905i −0.0423428 + 0.0225141i
\(520\) −0.154254 + 1.46763i −0.00676449 + 0.0643598i
\(521\) −0.986652 9.38737i −0.0432260 0.411268i −0.994644 0.103364i \(-0.967039\pi\)
0.951418 0.307904i \(-0.0996275\pi\)
\(522\) 8.08004 10.3420i 0.353654 0.452656i
\(523\) 9.95168 12.7376i 0.435157 0.556975i −0.519582 0.854420i \(-0.673912\pi\)
0.954739 + 0.297445i \(0.0961346\pi\)
\(524\) 1.53947 + 14.6471i 0.0672521 + 0.639861i
\(525\) −0.503989 + 4.79513i −0.0219959 + 0.209277i
\(526\) 22.5981 12.0156i 0.985325 0.523907i
\(527\) −47.1477 39.5616i −2.05378 1.72333i
\(528\) 0.576420 + 0.378419i 0.0250855 + 0.0164686i
\(529\) −3.69711 + 20.9674i −0.160744 + 0.911625i
\(530\) −0.419631 0.537103i −0.0182276 0.0233303i
\(531\) 20.9017 + 15.1860i 0.907058 + 0.659016i
\(532\) 17.1895 + 11.1914i 0.745261 + 0.485210i
\(533\) 7.60662 23.4108i 0.329479 1.01403i
\(534\) 0.0351280 + 1.00593i 0.00152014 + 0.0435310i
\(535\) 0.768806 + 1.57629i 0.0332384 + 0.0681488i
\(536\) 3.86665 0.270383i 0.167014 0.0116788i
\(537\) 1.12786 2.79156i 0.0486709 0.120465i
\(538\) −5.01082 28.4178i −0.216032 1.22518i
\(539\) −6.36870 + 49.8202i −0.274319 + 2.14591i
\(540\) −0.165753 + 0.287092i −0.00713287 + 0.0123545i
\(541\) −0.663693 + 19.0057i −0.0285344 + 0.817118i 0.897797 + 0.440409i \(0.145167\pi\)
−0.926332 + 0.376709i \(0.877056\pi\)
\(542\) 2.27980 + 3.37995i 0.0979259 + 0.145181i
\(543\) 0.333081 + 3.16905i 0.0142939 + 0.135997i
\(544\) −6.04804 + 1.28555i −0.259308 + 0.0551175i
\(545\) 3.54615 + 0.498378i 0.151900 + 0.0213482i
\(546\) −5.38034 0.376230i −0.230257 0.0161011i
\(547\) 0.406741 0.0284421i 0.0173910 0.00121610i −0.0610583 0.998134i \(-0.519448\pi\)
0.0784493 + 0.996918i \(0.475003\pi\)
\(548\) −4.18047 + 0.587527i −0.178581 + 0.0250979i
\(549\) −15.5444 + 5.65769i −0.663417 + 0.241464i
\(550\) 13.0050 + 9.90172i 0.554536 + 0.422211i
\(551\) 6.91261 + 18.0707i 0.294487 + 0.769838i
\(552\) −0.0839916 0.258499i −0.00357492 0.0110025i
\(553\) 29.3123 + 8.40516i 1.24649 + 0.357424i
\(554\) −3.99639 8.19382i −0.169790 0.348122i
\(555\) 0.0224186 + 0.0554879i 0.000951615 + 0.00235533i
\(556\) 8.25815 5.16027i 0.350224 0.218844i
\(557\) 7.53140 + 7.27299i 0.319116 + 0.308166i 0.836912 0.547338i \(-0.184359\pi\)
−0.517796 + 0.855504i \(0.673248\pi\)
\(558\) −3.07644 + 29.2704i −0.130236 + 1.23911i
\(559\) 40.6670 + 8.64403i 1.72003 + 0.365603i
\(560\) −1.18366 0.430818i −0.0500189 0.0182054i
\(561\) 0.244297 4.25651i 0.0103142 0.179710i
\(562\) −14.7030 + 25.4663i −0.620207 + 1.07423i
\(563\) 1.43588 1.59470i 0.0605150 0.0672087i −0.712127 0.702051i \(-0.752268\pi\)
0.772642 + 0.634842i \(0.218935\pi\)
\(564\) −1.00124 + 2.05284i −0.0421597 + 0.0864402i
\(565\) −2.39687 0.167606i −0.100837 0.00705123i
\(566\) 1.69696 + 4.20013i 0.0713286 + 0.176544i
\(567\) 35.7854 + 19.0274i 1.50285 + 0.799077i
\(568\) −2.35955 + 3.49817i −0.0990044 + 0.146780i
\(569\) −17.5876 12.7782i −0.737311 0.535688i 0.154557 0.987984i \(-0.450605\pi\)
−0.891868 + 0.452296i \(0.850605\pi\)
\(570\) −0.117359 0.212302i −0.00491562 0.00889237i
\(571\) −39.0258 −1.63318 −0.816589 0.577219i \(-0.804138\pi\)
−0.816589 + 0.577219i \(0.804138\pi\)
\(572\) −10.5618 + 14.9254i −0.441611 + 0.624061i
\(573\) −0.642995 + 3.64661i −0.0268615 + 0.152339i
\(574\) 17.8185 + 11.1342i 0.743728 + 0.464733i
\(575\) −1.55872 6.25169i −0.0650032 0.260714i
\(576\) 2.12693 + 2.05395i 0.0886220 + 0.0855812i
\(577\) −37.6911 + 8.01150i −1.56910 + 0.333523i −0.908720 0.417407i \(-0.862939\pi\)
−0.660382 + 0.750930i \(0.729606\pi\)
\(578\) 14.2066 + 15.7780i 0.590917 + 0.656280i
\(579\) −2.60253 + 0.746264i −0.108158 + 0.0310137i
\(580\) −0.664406 0.985022i −0.0275879 0.0409008i
\(581\) 0.410772 + 0.0873123i 0.0170417 + 0.00362233i
\(582\) 0.754933 + 1.30758i 0.0312930 + 0.0542010i
\(583\) −1.27962 8.34757i −0.0529965 0.345721i
\(584\) −8.69057 7.29226i −0.359618 0.301756i
\(585\) −3.70033 2.31223i −0.152990 0.0955988i
\(586\) 2.78006 2.68467i 0.114843 0.110903i
\(587\) 10.3058 15.2789i 0.425365 0.630630i −0.554051 0.832483i \(-0.686919\pi\)
0.979416 + 0.201853i \(0.0646964\pi\)
\(588\) 0.972909 2.99431i 0.0401221 0.123483i
\(589\) −34.6211 26.1520i −1.42654 1.07757i
\(590\) 1.89227 1.37481i 0.0779034 0.0566001i
\(591\) 1.82625 + 0.523668i 0.0751218 + 0.0215408i
\(592\) 1.06489 0.149661i 0.0437668 0.00615102i
\(593\) 14.2563 11.9625i 0.585436 0.491239i −0.301291 0.953532i \(-0.597418\pi\)
0.886727 + 0.462293i \(0.152973\pi\)
\(594\) −3.53122 + 2.09795i −0.144888 + 0.0860799i
\(595\) 1.35246 + 7.67016i 0.0554453 + 0.314446i
\(596\) −11.5907 + 12.8728i −0.474775 + 0.527291i
\(597\) 1.51250 0.673409i 0.0619025 0.0275608i
\(598\) 6.92815 1.98662i 0.283313 0.0812387i
\(599\) −19.7587 + 25.2899i −0.807317 + 1.03332i 0.191341 + 0.981524i \(0.438716\pi\)
−0.998658 + 0.0517951i \(0.983506\pi\)
\(600\) −0.685604 0.761440i −0.0279897 0.0310857i
\(601\) −15.2793 6.80277i −0.623254 0.277491i 0.0707137 0.997497i \(-0.477472\pi\)
−0.693968 + 0.720006i \(0.744139\pi\)
\(602\) −15.5568 + 31.8961i −0.634047 + 1.29999i
\(603\) −4.29327 + 10.6262i −0.174836 + 0.432733i
\(604\) −3.31067 + 2.77799i −0.134709 + 0.113035i
\(605\) −1.17083 2.70171i −0.0476011 0.109840i
\(606\) −1.70348 + 0.620017i −0.0691992 + 0.0251865i
\(607\) 4.34467 + 13.3715i 0.176345 + 0.542733i 0.999692 0.0248042i \(-0.00789624\pi\)
−0.823348 + 0.567537i \(0.807896\pi\)
\(608\) −4.21168 + 1.12327i −0.170806 + 0.0455547i
\(609\) 3.51314 2.55245i 0.142360 0.103430i
\(610\) 0.0522644 + 1.49666i 0.00211613 + 0.0605979i
\(611\) −53.4752 28.4333i −2.16338 1.15029i
\(612\) 4.42287 17.7392i 0.178784 0.717063i
\(613\) −3.00592 12.0561i −0.121408 0.486941i −0.999957 0.00928871i \(-0.997043\pi\)
0.878549 0.477653i \(-0.158512\pi\)
\(614\) −10.5397 + 5.60407i −0.425349 + 0.226162i
\(615\) −0.124244 0.215197i −0.00501000 0.00867757i
\(616\) −10.1805 11.8295i −0.410182 0.476625i
\(617\) −44.3005 16.1241i −1.78347 0.649131i −0.999602 0.0282060i \(-0.991021\pi\)
−0.783870 0.620925i \(-0.786757\pi\)
\(618\) −0.0366187 + 1.04862i −0.00147302 + 0.0421818i
\(619\) 17.5739 7.82442i 0.706356 0.314490i −0.0219337 0.999759i \(-0.506982\pi\)
0.728290 + 0.685270i \(0.240316\pi\)
\(620\) 2.43413 + 1.08375i 0.0977572 + 0.0435243i
\(621\) 1.60331 + 0.225330i 0.0643386 + 0.00904220i
\(622\) −25.1206 + 15.6971i −1.00724 + 0.629396i
\(623\) 5.51153 22.1056i 0.220815 0.885640i
\(624\) 0.824477 0.796189i 0.0330055 0.0318731i
\(625\) −14.7330 18.8574i −0.589319 0.754294i
\(626\) −15.7712 −0.630343
\(627\) 0.0184339 3.00556i 0.000736179 0.120031i
\(628\) −5.02296 −0.200438
\(629\) −4.09360 5.23956i −0.163222 0.208915i
\(630\) 2.67914 2.58721i 0.106739 0.103077i
\(631\) −4.55821 + 18.2820i −0.181460 + 0.727795i 0.808744 + 0.588161i \(0.200148\pi\)
−0.990203 + 0.139633i \(0.955408\pi\)
\(632\) −5.49547 + 3.43395i −0.218598 + 0.136595i
\(633\) −5.70349 0.801574i −0.226693 0.0318597i
\(634\) 11.9457 + 5.31856i 0.474424 + 0.211227i
\(635\) −0.293003 + 0.130453i −0.0116275 + 0.00517689i
\(636\) −0.0184751 + 0.529059i −0.000732587 + 0.0209785i
\(637\) 78.4509 + 28.5538i 3.10834 + 1.13134i
\(638\) −1.21014 14.6716i −0.0479098 0.580854i
\(639\) −6.23814 10.8048i −0.246777 0.427431i
\(640\) 0.236349 0.125669i 0.00934251 0.00496750i
\(641\) 4.94594 + 19.8371i 0.195353 + 0.783517i 0.985369 + 0.170432i \(0.0545163\pi\)
−0.790017 + 0.613085i \(0.789928\pi\)
\(642\) 0.329528 1.32167i 0.0130054 0.0521620i
\(643\) −16.0824 8.55118i −0.634229 0.337226i 0.121033 0.992648i \(-0.461379\pi\)
−0.755262 + 0.655423i \(0.772490\pi\)
\(644\) 0.214702 + 6.14825i 0.00846043 + 0.242275i
\(645\) 0.339540 0.246690i 0.0133694 0.00971342i
\(646\) 19.0356 + 19.0799i 0.748946 + 0.750689i
\(647\) 12.6529 + 38.9418i 0.497439 + 1.53096i 0.813122 + 0.582094i \(0.197766\pi\)
−0.315683 + 0.948865i \(0.602234\pi\)
\(648\) −8.09344 + 2.94577i −0.317940 + 0.115721i
\(649\) 28.7815 3.38877i 1.12977 0.133021i
\(650\) 20.8132 17.4643i 0.816361 0.685008i
\(651\) −3.64801 + 9.02915i −0.142977 + 0.353880i
\(652\) 4.59023 9.41137i 0.179767 0.368578i
\(653\) 3.68479 + 1.64057i 0.144197 + 0.0642006i 0.477566 0.878596i \(-0.341519\pi\)
−0.333369 + 0.942796i \(0.608186\pi\)
\(654\) −1.86105 2.06690i −0.0727727 0.0808223i
\(655\) −2.42715 + 3.10661i −0.0948367 + 0.121385i
\(656\) −4.29207 + 1.23073i −0.167577 + 0.0480520i
\(657\) 30.6438 13.6435i 1.19553 0.532284i
\(658\) 34.5915 38.4177i 1.34852 1.49768i
\(659\) 5.16446 + 29.2891i 0.201179 + 1.14094i 0.903341 + 0.428924i \(0.141107\pi\)
−0.702162 + 0.712017i \(0.747782\pi\)
\(660\) 0.0406261 + 0.180050i 0.00158137 + 0.00700843i
\(661\) 8.22983 6.90565i 0.320103 0.268599i −0.468550 0.883437i \(-0.655223\pi\)
0.788653 + 0.614839i \(0.210779\pi\)
\(662\) 7.42699 1.04379i 0.288658 0.0405682i
\(663\) −6.81235 1.95341i −0.264570 0.0758641i
\(664\) −0.0721989 + 0.0524555i −0.00280186 + 0.00203567i
\(665\) 1.22890 + 5.35130i 0.0476546 + 0.207515i
\(666\) −0.982547 + 3.02397i −0.0380729 + 0.117176i
\(667\) −3.24494 + 4.81082i −0.125645 + 0.186276i
\(668\) 9.80452 9.46811i 0.379348 0.366332i
\(669\) −4.85021 3.03075i −0.187520 0.117176i
\(670\) 0.794817 + 0.666930i 0.0307064 + 0.0257658i
\(671\) −8.50595 + 16.4907i −0.328369 + 0.636616i
\(672\) 0.489165 + 0.847258i 0.0188699 + 0.0326837i
\(673\) −24.4524 5.19752i −0.942570 0.200349i −0.289098 0.957300i \(-0.593355\pi\)
−0.653473 + 0.756950i \(0.726689\pi\)
\(674\) −11.0074 16.3191i −0.423989 0.628589i
\(675\) 5.86699 1.68233i 0.225821 0.0647530i
\(676\) 11.6379 + 12.9252i 0.447611 + 0.497122i
\(677\) −16.7257 + 3.55516i −0.642821 + 0.136636i −0.517777 0.855515i \(-0.673240\pi\)
−0.125044 + 0.992151i \(0.539907\pi\)
\(678\) 1.34240 + 1.29634i 0.0515545 + 0.0497856i
\(679\) −8.26754 33.1593i −0.317279 1.27254i
\(680\) −1.40362 0.877079i −0.0538263 0.0336344i
\(681\) −0.565773 + 3.20866i −0.0216805 + 0.122956i
\(682\) 19.7367 + 26.4642i 0.755759 + 1.01337i
\(683\) 10.4332 0.399215 0.199607 0.979876i \(-0.436033\pi\)
0.199607 + 0.979876i \(0.436033\pi\)
\(684\) 2.47390 12.6486i 0.0945920 0.483632i
\(685\) −0.914216 0.664217i −0.0349304 0.0253784i
\(686\) −21.4290 + 31.7698i −0.818162 + 1.21298i
\(687\) −2.70899 1.44039i −0.103354 0.0549544i
\(688\) −2.82507 6.99229i −0.107705 0.266579i
\(689\) −14.0033 0.979209i −0.533485 0.0373049i
\(690\) 0.0318944 0.0653931i 0.00121420 0.00248947i
\(691\) 2.42424 2.69240i 0.0922226 0.102424i −0.695267 0.718752i \(-0.744714\pi\)
0.787489 + 0.616328i \(0.211380\pi\)
\(692\) −2.62746 + 4.55090i −0.0998812 + 0.172999i
\(693\) 44.6329 11.7219i 1.69546 0.445277i
\(694\) −6.54923 2.38373i −0.248606 0.0904850i
\(695\) 2.54968 + 0.541951i 0.0967148 + 0.0205574i
\(696\) −0.0964604 + 0.917759i −0.00365632 + 0.0347876i
\(697\) 19.8596 + 19.1782i 0.752235 + 0.726425i
\(698\) −1.57840 + 0.986291i −0.0597431 + 0.0373317i
\(699\) 1.32334 + 3.27539i 0.0500535 + 0.123887i
\(700\) 10.1664 + 20.8442i 0.384254 + 0.787837i
\(701\) −11.0023 3.15486i −0.415551 0.119157i 0.0613460 0.998117i \(-0.480461\pi\)
−0.476897 + 0.878959i \(0.658238\pi\)
\(702\) 2.10979 + 6.49325i 0.0796287 + 0.245072i
\(703\) −3.07108 3.54118i −0.115828 0.133558i
\(704\) 3.31579 + 0.0743669i 0.124969 + 0.00280281i
\(705\) −0.574513 + 0.209105i −0.0216374 + 0.00787537i
\(706\) −30.1637 + 4.23924i −1.13523 + 0.159546i
\(707\) 40.9313 2.86219i 1.53938 0.107644i
\(708\) −1.81221 0.126722i −0.0681069 0.00476250i
\(709\) 34.2948 + 4.81982i 1.28797 + 0.181012i 0.749710 0.661767i \(-0.230193\pi\)
0.538260 + 0.842779i \(0.319082\pi\)
\(710\) −1.10482 + 0.234836i −0.0414630 + 0.00881323i
\(711\) −2.00280 19.0554i −0.0751108 0.714632i
\(712\) 2.70729 + 4.01372i 0.101460 + 0.150421i
\(713\) 0.454158 13.0054i 0.0170084 0.487056i
\(714\) 3.02458 5.23873i 0.113192 0.196055i
\(715\) −4.80905 + 0.909999i −0.179848 + 0.0340320i
\(716\) −2.51472 14.2617i −0.0939796 0.532985i
\(717\) −0.950776 + 2.35325i −0.0355074 + 0.0878839i
\(718\) −6.13152 + 0.428758i −0.228826 + 0.0160011i
\(719\) 12.3918 + 25.4070i 0.462137 + 0.947522i 0.994863 + 0.101234i \(0.0322790\pi\)
−0.532725 + 0.846288i \(0.678832\pi\)
\(720\) 0.0276221 + 0.790992i 0.00102941 + 0.0294785i
\(721\) 7.33887 22.5867i 0.273314 0.841174i
\(722\) 14.0902 + 12.7463i 0.524382 + 0.474367i
\(723\) −0.506342 0.367879i −0.0188311 0.0136816i
\(724\) 9.43618 + 12.0778i 0.350693 + 0.448866i
\(725\) −3.79861 + 21.5430i −0.141077 + 0.800086i
\(726\) −0.652189 + 2.19197i −0.0242050 + 0.0813515i
\(727\) 7.77160 + 6.52115i 0.288233 + 0.241856i 0.775426 0.631438i \(-0.217535\pi\)
−0.487194 + 0.873294i \(0.661979\pi\)
\(728\) −22.9056 + 12.1791i −0.848940 + 0.451389i
\(729\) 2.58121 24.5586i 0.0956004 0.909577i
\(730\) −0.317430 3.02014i −0.0117486 0.111780i
\(731\) −28.7082 + 36.7448i −1.06181 + 1.35906i
\(732\) 0.716097 0.916562i 0.0264677 0.0338771i
\(733\) 1.82484 + 17.3622i 0.0674022 + 0.641289i 0.975115 + 0.221698i \(0.0711598\pi\)
−0.907713 + 0.419591i \(0.862174\pi\)
\(734\) −0.536280 + 5.10236i −0.0197944 + 0.188332i
\(735\) 0.744121 0.395656i 0.0274473 0.0145940i
\(736\) −1.00149 0.840349i −0.0369154 0.0309757i
\(737\) 4.54730 + 12.0244i 0.167502 + 0.442926i
\(738\) 2.29253 13.0016i 0.0843891 0.478594i
\(739\) 19.4316 + 24.8713i 0.714802 + 0.914905i 0.999038 0.0438494i \(-0.0139622\pi\)
−0.284236 + 0.958754i \(0.591740\pi\)
\(740\) 0.232878 + 0.169196i 0.00856077 + 0.00621976i
\(741\) −4.86663 1.12951i −0.178780 0.0414936i
\(742\) 3.70266 11.3956i 0.135929 0.418346i
\(743\) 0.851207 + 24.3754i 0.0312278 + 0.894246i 0.909405 + 0.415911i \(0.136537\pi\)
−0.878178 + 0.478335i \(0.841241\pi\)
\(744\) −0.907191 1.86002i −0.0332592 0.0681916i
\(745\) −4.62550 + 0.323447i −0.169465 + 0.0118502i
\(746\) −9.41755 + 23.3093i −0.344801 + 0.853413i
\(747\) −0.0458207 0.259862i −0.00167649 0.00950785i
\(748\) −9.85281 17.9852i −0.360254 0.657605i
\(749\) −15.4152 + 26.7000i −0.563261 + 0.975596i
\(750\) 0.0192831 0.552194i 0.000704117 0.0201633i
\(751\) −21.4064 31.7363i −0.781131 1.15807i −0.983878 0.178843i \(-0.942764\pi\)
0.202746 0.979231i \(-0.435013\pi\)
\(752\) 1.14834 + 10.9257i 0.0418755 + 0.398419i
\(753\) 3.85678 0.819783i 0.140549 0.0298746i
\(754\) −24.2320 3.40559i −0.882478 0.124024i
\(755\) −1.15404 0.0806985i −0.0419999 0.00293692i
\(756\) −5.81349 + 0.406519i −0.211435 + 0.0147850i
\(757\) −22.1135 + 3.10785i −0.803729 + 0.112957i −0.529062 0.848583i \(-0.677456\pi\)
−0.274666 + 0.961540i \(0.588567\pi\)
\(758\) −7.76900 + 2.82769i −0.282183 + 0.102706i
\(759\) 0.740999 0.513383i 0.0268966 0.0186346i
\(760\) −1.01985 0.566860i −0.0369937 0.0205622i
\(761\) 4.34575 + 13.3748i 0.157533 + 0.484837i 0.998409 0.0563912i \(-0.0179594\pi\)
−0.840876 + 0.541229i \(0.817959\pi\)
\(762\) 0.239457 + 0.0686631i 0.00867459 + 0.00248740i
\(763\) 27.5963 + 56.5809i 0.999054 + 2.04837i
\(764\) 6.67193 + 16.5136i 0.241382 + 0.597442i
\(765\) 4.15019 2.59333i 0.150050 0.0937619i
\(766\) −25.4221 24.5498i −0.918538 0.887022i
\(767\) 5.03529 47.9076i 0.181814 1.72984i
\(768\) −0.203360 0.0432255i −0.00733812 0.00155977i
\(769\) 37.2891 + 13.5721i 1.34468 + 0.489423i 0.911283 0.411781i \(-0.135093\pi\)
0.433395 + 0.901204i \(0.357316\pi\)
\(770\) 0.239381 4.17085i 0.00862670 0.150307i