Properties

Label 168.2.ba.c.101.19
Level $168$
Weight $2$
Character 168.101
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.19
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.19

$q$-expansion

\(f(q)\) \(=\) \(q+(1.07638 - 0.917276i) q^{2} +(-0.0574700 - 1.73110i) q^{3} +(0.317209 - 1.97468i) q^{4} +(0.461663 - 0.266541i) q^{5} +(-1.64975 - 1.81061i) q^{6} +(0.489180 + 2.60014i) q^{7} +(-1.46989 - 2.41649i) q^{8} +(-2.99339 + 0.198972i) q^{9} +O(q^{10})\) \(q+(1.07638 - 0.917276i) q^{2} +(-0.0574700 - 1.73110i) q^{3} +(0.317209 - 1.97468i) q^{4} +(0.461663 - 0.266541i) q^{5} +(-1.64975 - 1.81061i) q^{6} +(0.489180 + 2.60014i) q^{7} +(-1.46989 - 2.41649i) q^{8} +(-2.99339 + 0.198972i) q^{9} +(0.252435 - 0.710374i) q^{10} +(-2.28733 + 3.96177i) q^{11} +(-3.43660 - 0.435635i) q^{12} +4.97924 q^{13} +(2.91159 + 2.35003i) q^{14} +(-0.487941 - 0.783866i) q^{15} +(-3.79876 - 1.25278i) q^{16} +(2.16139 - 3.74363i) q^{17} +(-3.03953 + 2.95994i) q^{18} +(-0.921087 - 1.59537i) q^{19} +(-0.379891 - 0.996188i) q^{20} +(4.47297 - 0.996248i) q^{21} +(1.17199 + 6.36250i) q^{22} +(-0.103387 + 0.0596907i) q^{23} +(-4.09870 + 2.68340i) q^{24} +(-2.35791 + 4.08402i) q^{25} +(5.35958 - 4.56734i) q^{26} +(0.516471 + 5.17042i) q^{27} +(5.28962 - 0.141190i) q^{28} +7.74542 q^{29} +(-1.24423 - 0.396165i) q^{30} +(-1.93668 - 1.11814i) q^{31} +(-5.23807 + 2.13604i) q^{32} +(6.98966 + 3.73191i) q^{33} +(-1.10746 - 6.01218i) q^{34} +(0.918880 + 1.07000i) q^{35} +(-0.556624 + 5.97413i) q^{36} +(-7.02261 + 4.05451i) q^{37} +(-2.45484 - 0.872340i) q^{38} +(-0.286157 - 8.61955i) q^{39} +(-1.32269 - 0.723817i) q^{40} -2.60914 q^{41} +(3.90081 - 5.17530i) q^{42} -1.87217i q^{43} +(7.09769 + 5.77346i) q^{44} +(-1.32891 + 0.889722i) q^{45} +(-0.0565317 + 0.159085i) q^{46} +(2.91482 + 5.04861i) q^{47} +(-1.95036 + 6.64801i) q^{48} +(-6.52141 + 2.54387i) q^{49} +(1.20816 + 6.55884i) q^{50} +(-6.60480 - 3.52642i) q^{51} +(1.57946 - 9.83243i) q^{52} +(2.29287 - 3.97137i) q^{53} +(5.29863 + 5.09162i) q^{54} +2.43867i q^{55} +(5.56416 - 5.00402i) q^{56} +(-2.70880 + 1.68618i) q^{57} +(8.33705 - 7.10469i) q^{58} +(-5.71492 - 3.29951i) q^{59} +(-1.70267 + 0.714880i) q^{60} +(-1.07564 - 1.86306i) q^{61} +(-3.11026 + 0.572919i) q^{62} +(-1.98166 - 7.68590i) q^{63} +(-3.67884 + 7.10395i) q^{64} +(2.29873 - 1.32717i) q^{65} +(10.9468 - 2.39448i) q^{66} +(-10.4812 - 6.05131i) q^{67} +(-6.70688 - 5.45557i) q^{68} +(0.109272 + 0.175543i) q^{69} +(1.97055 + 0.308865i) q^{70} +6.20627i q^{71} +(4.88078 + 6.94104i) q^{72} +(8.35520 + 4.82388i) q^{73} +(-3.83993 + 10.8059i) q^{74} +(7.20535 + 3.84706i) q^{75} +(-3.44253 + 1.31279i) q^{76} +(-11.4201 - 4.00935i) q^{77} +(-8.21452 - 9.01547i) q^{78} +(-0.0228792 - 0.0396280i) q^{79} +(-2.08766 + 0.434165i) q^{80} +(8.92082 - 1.19121i) q^{81} +(-2.80844 + 2.39330i) q^{82} +3.86459i q^{83} +(-0.548408 - 9.14873i) q^{84} -2.30440i q^{85} +(-1.71730 - 2.01518i) q^{86} +(-0.445129 - 13.4081i) q^{87} +(12.9357 - 0.296068i) q^{88} +(-8.23362 - 14.2610i) q^{89} +(-0.614293 + 2.17666i) q^{90} +(2.43575 + 12.9467i) q^{91} +(0.0850749 + 0.223092i) q^{92} +(-1.82431 + 3.41684i) q^{93} +(7.76843 + 2.76056i) q^{94} +(-0.850463 - 0.491015i) q^{95} +(3.99872 + 8.94484i) q^{96} -7.18828i q^{97} +(-4.68611 + 8.72011i) q^{98} +(6.05860 - 12.3143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.07638 0.917276i 0.761119 0.648612i
\(3\) −0.0574700 1.73110i −0.0331803 0.999449i
\(4\) 0.317209 1.97468i 0.158605 0.987342i
\(5\) 0.461663 0.266541i 0.206462 0.119201i −0.393204 0.919451i \(-0.628633\pi\)
0.599666 + 0.800250i \(0.295300\pi\)
\(6\) −1.64975 1.81061i −0.673509 0.739179i
\(7\) 0.489180 + 2.60014i 0.184893 + 0.982759i
\(8\) −1.46989 2.41649i −0.519685 0.854358i
\(9\) −2.99339 + 0.198972i −0.997798 + 0.0663241i
\(10\) 0.252435 0.710374i 0.0798270 0.224640i
\(11\) −2.28733 + 3.96177i −0.689656 + 1.19452i 0.282293 + 0.959328i \(0.408905\pi\)
−0.971949 + 0.235191i \(0.924428\pi\)
\(12\) −3.43660 0.435635i −0.992061 0.125757i
\(13\) 4.97924 1.38099 0.690496 0.723336i \(-0.257392\pi\)
0.690496 + 0.723336i \(0.257392\pi\)
\(14\) 2.91159 + 2.35003i 0.778155 + 0.628073i
\(15\) −0.487941 0.783866i −0.125986 0.202393i
\(16\) −3.79876 1.25278i −0.949689 0.313194i
\(17\) 2.16139 3.74363i 0.524213 0.907964i −0.475389 0.879775i \(-0.657693\pi\)
0.999603 0.0281884i \(-0.00897383\pi\)
\(18\) −3.03953 + 2.95994i −0.716425 + 0.697665i
\(19\) −0.921087 1.59537i −0.211312 0.366003i 0.740814 0.671711i \(-0.234440\pi\)
−0.952125 + 0.305708i \(0.901107\pi\)
\(20\) −0.379891 0.996188i −0.0849463 0.222754i
\(21\) 4.47297 0.996248i 0.976083 0.217399i
\(22\) 1.17199 + 6.36250i 0.249869 + 1.35649i
\(23\) −0.103387 + 0.0596907i −0.0215577 + 0.0124464i −0.510740 0.859735i \(-0.670629\pi\)
0.489182 + 0.872182i \(0.337295\pi\)
\(24\) −4.09870 + 2.68340i −0.836644 + 0.547747i
\(25\) −2.35791 + 4.08402i −0.471582 + 0.816804i
\(26\) 5.35958 4.56734i 1.05110 0.895729i
\(27\) 0.516471 + 5.17042i 0.0993949 + 0.995048i
\(28\) 5.28962 0.141190i 0.999644 0.0266824i
\(29\) 7.74542 1.43829 0.719144 0.694861i \(-0.244534\pi\)
0.719144 + 0.694861i \(0.244534\pi\)
\(30\) −1.24423 0.396165i −0.227165 0.0723294i
\(31\) −1.93668 1.11814i −0.347838 0.200825i 0.315894 0.948794i \(-0.397695\pi\)
−0.663733 + 0.747970i \(0.731029\pi\)
\(32\) −5.23807 + 2.13604i −0.925968 + 0.377602i
\(33\) 6.98966 + 3.73191i 1.21674 + 0.649642i
\(34\) −1.10746 6.01218i −0.189928 1.03108i
\(35\) 0.918880 + 1.07000i 0.155319 + 0.180863i
\(36\) −0.556624 + 5.97413i −0.0927707 + 0.995688i
\(37\) −7.02261 + 4.05451i −1.15451 + 0.666557i −0.949982 0.312304i \(-0.898899\pi\)
−0.204528 + 0.978861i \(0.565566\pi\)
\(38\) −2.45484 0.872340i −0.398227 0.141512i
\(39\) −0.286157 8.61955i −0.0458218 1.38023i
\(40\) −1.32269 0.723817i −0.209135 0.114445i
\(41\) −2.60914 −0.407479 −0.203740 0.979025i \(-0.565310\pi\)
−0.203740 + 0.979025i \(0.565310\pi\)
\(42\) 3.90081 5.17530i 0.601908 0.798566i
\(43\) 1.87217i 0.285503i −0.989759 0.142752i \(-0.954405\pi\)
0.989759 0.142752i \(-0.0455950\pi\)
\(44\) 7.09769 + 5.77346i 1.07002 + 0.870383i
\(45\) −1.32891 + 0.889722i −0.198102 + 0.132632i
\(46\) −0.0565317 + 0.159085i −0.00833515 + 0.0234558i
\(47\) 2.91482 + 5.04861i 0.425170 + 0.736415i 0.996436 0.0843492i \(-0.0268811\pi\)
−0.571267 + 0.820764i \(0.693548\pi\)
\(48\) −1.95036 + 6.64801i −0.281510 + 0.959558i
\(49\) −6.52141 + 2.54387i −0.931629 + 0.363410i
\(50\) 1.20816 + 6.55884i 0.170859 + 0.927559i
\(51\) −6.60480 3.52642i −0.924857 0.493798i
\(52\) 1.57946 9.83243i 0.219032 1.36351i
\(53\) 2.29287 3.97137i 0.314950 0.545510i −0.664476 0.747309i \(-0.731345\pi\)
0.979427 + 0.201799i \(0.0646788\pi\)
\(54\) 5.29863 + 5.09162i 0.721052 + 0.692881i
\(55\) 2.43867i 0.328830i
\(56\) 5.56416 5.00402i 0.743542 0.668690i
\(57\) −2.70880 + 1.68618i −0.358790 + 0.223339i
\(58\) 8.33705 7.10469i 1.09471 0.932891i
\(59\) −5.71492 3.29951i −0.744019 0.429559i 0.0795100 0.996834i \(-0.474664\pi\)
−0.823529 + 0.567275i \(0.807998\pi\)
\(60\) −1.70267 + 0.714880i −0.219813 + 0.0922906i
\(61\) −1.07564 1.86306i −0.137722 0.238541i 0.788912 0.614506i \(-0.210645\pi\)
−0.926634 + 0.375965i \(0.877311\pi\)
\(62\) −3.11026 + 0.572919i −0.395004 + 0.0727608i
\(63\) −1.98166 7.68590i −0.249666 0.968332i
\(64\) −3.67884 + 7.10395i −0.459855 + 0.887994i
\(65\) 2.29873 1.32717i 0.285123 0.164616i
\(66\) 10.9468 2.39448i 1.34745 0.294741i
\(67\) −10.4812 6.05131i −1.28048 0.739285i −0.303544 0.952817i \(-0.598170\pi\)
−0.976936 + 0.213532i \(0.931503\pi\)
\(68\) −6.70688 5.45557i −0.813328 0.661585i
\(69\) 0.109272 + 0.175543i 0.0131548 + 0.0211329i
\(70\) 1.97055 + 0.308865i 0.235526 + 0.0369164i
\(71\) 6.20627i 0.736549i 0.929717 + 0.368275i \(0.120051\pi\)
−0.929717 + 0.368275i \(0.879949\pi\)
\(72\) 4.88078 + 6.94104i 0.575205 + 0.818009i
\(73\) 8.35520 + 4.82388i 0.977902 + 0.564592i 0.901636 0.432496i \(-0.142367\pi\)
0.0762659 + 0.997088i \(0.475700\pi\)
\(74\) −3.83993 + 10.8059i −0.446383 + 1.25616i
\(75\) 7.20535 + 3.84706i 0.832002 + 0.444221i
\(76\) −3.44253 + 1.31279i −0.394885 + 0.150587i
\(77\) −11.4201 4.00935i −1.30144 0.456908i
\(78\) −8.21452 9.01547i −0.930111 1.02080i
\(79\) −0.0228792 0.0396280i −0.00257411 0.00445849i 0.864735 0.502228i \(-0.167486\pi\)
−0.867310 + 0.497769i \(0.834153\pi\)
\(80\) −2.08766 + 0.434165i −0.233408 + 0.0485412i
\(81\) 8.92082 1.19121i 0.991202 0.132356i
\(82\) −2.80844 + 2.39330i −0.310140 + 0.264296i
\(83\) 3.86459i 0.424194i 0.977249 + 0.212097i \(0.0680292\pi\)
−0.977249 + 0.212097i \(0.931971\pi\)
\(84\) −0.548408 9.14873i −0.0598362 0.998208i
\(85\) 2.30440i 0.249947i
\(86\) −1.71730 2.01518i −0.185181 0.217302i
\(87\) −0.445129 13.4081i −0.0477229 1.43750i
\(88\) 12.9357 0.296068i 1.37895 0.0315610i
\(89\) −8.23362 14.2610i −0.872762 1.51167i −0.859128 0.511761i \(-0.828993\pi\)
−0.0136336 0.999907i \(-0.504340\pi\)
\(90\) −0.614293 + 2.17666i −0.0647522 + 0.229440i
\(91\) 2.43575 + 12.9467i 0.255335 + 1.35718i
\(92\) 0.0850749 + 0.223092i 0.00886967 + 0.0232589i
\(93\) −1.82431 + 3.41684i −0.189173 + 0.354310i
\(94\) 7.76843 + 2.76056i 0.801253 + 0.284730i
\(95\) −0.850463 0.491015i −0.0872557 0.0503771i
\(96\) 3.99872 + 8.94484i 0.408118 + 0.912929i
\(97\) 7.18828i 0.729859i −0.931035 0.364930i \(-0.881093\pi\)
0.931035 0.364930i \(-0.118907\pi\)
\(98\) −4.68611 + 8.72011i −0.473369 + 0.880864i
\(99\) 6.05860 12.3143i 0.608912 1.23763i
\(100\) 7.31670 + 5.95162i 0.731670 + 0.595162i
\(101\) −3.33419 1.92499i −0.331764 0.191544i 0.324860 0.945762i \(-0.394683\pi\)
−0.656624 + 0.754218i \(0.728016\pi\)
\(102\) −10.3440 + 2.26264i −1.02421 + 0.224035i
\(103\) −4.61020 + 2.66170i −0.454256 + 0.262265i −0.709626 0.704578i \(-0.751136\pi\)
0.255370 + 0.966843i \(0.417803\pi\)
\(104\) −7.31894 12.0323i −0.717682 1.17986i
\(105\) 1.79947 1.65216i 0.175610 0.161235i
\(106\) −1.17483 6.37793i −0.114110 0.619479i
\(107\) −4.60634 7.97842i −0.445312 0.771303i 0.552762 0.833339i \(-0.313574\pi\)
−0.998074 + 0.0620363i \(0.980241\pi\)
\(108\) 10.3738 + 0.620237i 0.998217 + 0.0596824i
\(109\) −4.24194 2.44909i −0.406304 0.234580i 0.282896 0.959151i \(-0.408705\pi\)
−0.689201 + 0.724571i \(0.742038\pi\)
\(110\) 2.23694 + 2.62495i 0.213283 + 0.250279i
\(111\) 7.42233 + 11.9238i 0.704497 + 1.13176i
\(112\) 1.39911 10.4901i 0.132203 0.991223i
\(113\) 3.87615i 0.364637i 0.983240 + 0.182319i \(0.0583602\pi\)
−0.983240 + 0.182319i \(0.941640\pi\)
\(114\) −1.36903 + 4.29970i −0.128221 + 0.402703i
\(115\) −0.0318201 + 0.0551140i −0.00296724 + 0.00513941i
\(116\) 2.45692 15.2948i 0.228119 1.42008i
\(117\) −14.9048 + 0.990731i −1.37795 + 0.0915932i
\(118\) −9.17801 + 1.69061i −0.844904 + 0.155634i
\(119\) 10.7913 + 3.78859i 0.989233 + 0.347299i
\(120\) −1.17698 + 2.33130i −0.107443 + 0.212818i
\(121\) −4.96376 8.59748i −0.451251 0.781589i
\(122\) −2.86674 1.01871i −0.259543 0.0922300i
\(123\) 0.149947 + 4.51667i 0.0135203 + 0.407255i
\(124\) −2.82231 + 3.46965i −0.253451 + 0.311584i
\(125\) 5.17934i 0.463254i
\(126\) −9.18312 6.45525i −0.818098 0.575079i
\(127\) 8.19005 0.726750 0.363375 0.931643i \(-0.381624\pi\)
0.363375 + 0.931643i \(0.381624\pi\)
\(128\) 2.55644 + 11.0211i 0.225960 + 0.974137i
\(129\) −3.24091 + 0.107594i −0.285346 + 0.00947310i
\(130\) 1.25694 3.53712i 0.110241 0.310226i
\(131\) 18.5565 10.7136i 1.62129 0.936053i 0.634715 0.772746i \(-0.281117\pi\)
0.986575 0.163306i \(-0.0522159\pi\)
\(132\) 9.58652 12.6186i 0.834400 1.09831i
\(133\) 3.69760 3.17537i 0.320622 0.275340i
\(134\) −16.8325 + 3.10059i −1.45411 + 0.267851i
\(135\) 1.61657 + 2.24933i 0.139132 + 0.193592i
\(136\) −12.2234 + 0.279766i −1.04815 + 0.0239898i
\(137\) −3.91533 2.26052i −0.334509 0.193129i 0.323332 0.946286i \(-0.395197\pi\)
−0.657841 + 0.753157i \(0.728530\pi\)
\(138\) 0.278640 + 0.0887193i 0.0237194 + 0.00755228i
\(139\) 14.8300 1.25786 0.628931 0.777461i \(-0.283493\pi\)
0.628931 + 0.777461i \(0.283493\pi\)
\(140\) 2.40439 1.47508i 0.203208 0.124667i
\(141\) 8.57212 5.33597i 0.721903 0.449370i
\(142\) 5.69287 + 6.68034i 0.477735 + 0.560602i
\(143\) −11.3892 + 19.7266i −0.952410 + 1.64962i
\(144\) 11.6204 + 2.99420i 0.968370 + 0.249517i
\(145\) 3.57577 2.06447i 0.296952 0.171445i
\(146\) 13.4182 2.47168i 1.11050 0.204557i
\(147\) 4.77847 + 11.1430i 0.394121 + 0.919058i
\(148\) 5.77873 + 15.1536i 0.475009 + 1.24562i
\(149\) 10.7714 + 18.6566i 0.882425 + 1.52841i 0.848636 + 0.528977i \(0.177424\pi\)
0.0337890 + 0.999429i \(0.489243\pi\)
\(150\) 11.2845 2.46837i 0.921380 0.201542i
\(151\) 1.40767 2.43816i 0.114555 0.198415i −0.803047 0.595916i \(-0.796789\pi\)
0.917602 + 0.397501i \(0.130122\pi\)
\(152\) −2.50129 + 4.57081i −0.202882 + 0.370742i
\(153\) −5.72500 + 11.6362i −0.462839 + 0.940733i
\(154\) −15.9701 + 6.15975i −1.28690 + 0.496366i
\(155\) −1.19213 −0.0957539
\(156\) −17.1117 2.16913i −1.37003 0.173669i
\(157\) −3.54427 + 6.13885i −0.282863 + 0.489933i −0.972089 0.234613i \(-0.924618\pi\)
0.689226 + 0.724547i \(0.257951\pi\)
\(158\) −0.0609766 0.0216684i −0.00485104 0.00172384i
\(159\) −7.00661 3.74095i −0.555660 0.296677i
\(160\) −1.84888 + 2.38229i −0.146167 + 0.188337i
\(161\) −0.205779 0.239622i −0.0162176 0.0188848i
\(162\) 8.50957 9.46505i 0.668575 0.743645i
\(163\) 5.64257 3.25774i 0.441960 0.255166i −0.262469 0.964941i \(-0.584537\pi\)
0.704429 + 0.709775i \(0.251203\pi\)
\(164\) −0.827643 + 5.15223i −0.0646280 + 0.402321i
\(165\) 4.22158 0.140151i 0.328649 0.0109107i
\(166\) 3.54489 + 4.15978i 0.275137 + 0.322862i
\(167\) −17.2470 −1.33462 −0.667308 0.744782i \(-0.732553\pi\)
−0.667308 + 0.744782i \(0.732553\pi\)
\(168\) −8.98221 9.34451i −0.692992 0.720945i
\(169\) 11.7928 0.907141
\(170\) −2.11377 2.48042i −0.162118 0.190239i
\(171\) 3.07461 + 4.59230i 0.235121 + 0.351182i
\(172\) −3.69695 0.593869i −0.281889 0.0452821i
\(173\) −14.5387 + 8.39395i −1.10536 + 0.638180i −0.937624 0.347652i \(-0.886979\pi\)
−0.167737 + 0.985832i \(0.553646\pi\)
\(174\) −12.7780 14.0239i −0.968700 1.06315i
\(175\) −11.7725 4.13307i −0.889914 0.312430i
\(176\) 13.6522 12.1843i 1.02907 0.918426i
\(177\) −5.38333 + 10.0827i −0.404636 + 0.757862i
\(178\) −21.9439 7.79787i −1.64476 0.584475i
\(179\) 2.00982 3.48110i 0.150221 0.260190i −0.781088 0.624421i \(-0.785335\pi\)
0.931309 + 0.364231i \(0.118668\pi\)
\(180\) 1.33538 + 2.90640i 0.0995332 + 0.216630i
\(181\) 14.8596 1.10451 0.552253 0.833676i \(-0.313768\pi\)
0.552253 + 0.833676i \(0.313768\pi\)
\(182\) 14.4975 + 11.7014i 1.07463 + 0.867364i
\(183\) −3.16332 + 1.96911i −0.233840 + 0.145561i
\(184\) 0.296210 + 0.162095i 0.0218369 + 0.0119498i
\(185\) −2.16139 + 3.74363i −0.158908 + 0.275237i
\(186\) 1.17052 + 5.35124i 0.0858271 + 0.392372i
\(187\) 9.88761 + 17.1258i 0.723053 + 1.25237i
\(188\) 10.8940 4.15438i 0.794528 0.302989i
\(189\) −13.1911 + 3.87216i −0.959515 + 0.281658i
\(190\) −1.36582 + 0.251588i −0.0990872 + 0.0182521i
\(191\) 17.1154 9.88159i 1.23843 0.715006i 0.269655 0.962957i \(-0.413090\pi\)
0.968773 + 0.247951i \(0.0797570\pi\)
\(192\) 12.5091 + 5.96016i 0.902763 + 0.430137i
\(193\) −6.29229 + 10.8986i −0.452929 + 0.784496i −0.998566 0.0535255i \(-0.982954\pi\)
0.545638 + 0.838021i \(0.316287\pi\)
\(194\) −6.59364 7.73736i −0.473396 0.555510i
\(195\) −2.42957 3.90305i −0.173985 0.279504i
\(196\) 2.95469 + 13.6847i 0.211049 + 0.977475i
\(197\) −8.41804 −0.599761 −0.299880 0.953977i \(-0.596947\pi\)
−0.299880 + 0.953977i \(0.596947\pi\)
\(198\) −4.77419 18.8123i −0.339287 1.33693i
\(199\) 12.3980 + 7.15800i 0.878873 + 0.507417i 0.870287 0.492546i \(-0.163934\pi\)
0.00858618 + 0.999963i \(0.497267\pi\)
\(200\) 13.3349 0.305204i 0.942918 0.0215812i
\(201\) −9.87305 + 18.4917i −0.696392 + 1.30430i
\(202\) −5.35462 + 0.986336i −0.376750 + 0.0693983i
\(203\) 3.78890 + 20.1391i 0.265929 + 1.41349i
\(204\) −9.05868 + 11.9238i −0.634234 + 0.834832i
\(205\) −1.20454 + 0.695443i −0.0841290 + 0.0485719i
\(206\) −2.52084 + 7.09384i −0.175635 + 0.494251i
\(207\) 0.297602 0.199249i 0.0206848 0.0138488i
\(208\) −18.9149 6.23787i −1.31151 0.432518i
\(209\) 8.42732 0.582930
\(210\) 0.421428 3.42897i 0.0290813 0.236621i
\(211\) 9.62315i 0.662485i −0.943546 0.331243i \(-0.892532\pi\)
0.943546 0.331243i \(-0.107468\pi\)
\(212\) −7.11489 5.78746i −0.488653 0.397484i
\(213\) 10.7437 0.356675i 0.736144 0.0244390i
\(214\) −12.2766 4.36256i −0.839212 0.298219i
\(215\) −0.499011 0.864312i −0.0340323 0.0589456i
\(216\) 11.7351 8.84801i 0.798473 0.602031i
\(217\) 1.95994 5.58261i 0.133049 0.378972i
\(218\) −6.81245 + 1.25487i −0.461397 + 0.0849907i
\(219\) 7.87042 14.7409i 0.531834 0.996097i
\(220\) 4.81561 + 0.773569i 0.324668 + 0.0521540i
\(221\) 10.7621 18.6404i 0.723935 1.25389i
\(222\) 18.9267 + 6.02628i 1.27028 + 0.404457i
\(223\) 20.1840i 1.35162i −0.737076 0.675810i \(-0.763794\pi\)
0.737076 0.675810i \(-0.236206\pi\)
\(224\) −8.11635 12.5748i −0.542296 0.840187i
\(225\) 6.24555 12.6942i 0.416370 0.846283i
\(226\) 3.55550 + 4.17223i 0.236508 + 0.277532i
\(227\) −1.03403 0.597000i −0.0686313 0.0396243i 0.465292 0.885157i \(-0.345949\pi\)
−0.533923 + 0.845533i \(0.679283\pi\)
\(228\) 2.47041 + 5.88390i 0.163607 + 0.389671i
\(229\) −11.4021 19.7490i −0.753472 1.30505i −0.946130 0.323786i \(-0.895044\pi\)
0.192658 0.981266i \(-0.438289\pi\)
\(230\) 0.0163041 + 0.0885117i 0.00107506 + 0.00583629i
\(231\) −6.28426 + 19.9996i −0.413474 + 1.31588i
\(232\) −11.3849 18.7167i −0.747457 1.22881i
\(233\) 14.1080 8.14528i 0.924249 0.533615i 0.0392607 0.999229i \(-0.487500\pi\)
0.884988 + 0.465614i \(0.154166\pi\)
\(234\) −15.1346 + 14.7383i −0.989377 + 0.963470i
\(235\) 2.69133 + 1.55384i 0.175563 + 0.101361i
\(236\) −8.32831 + 10.2385i −0.542127 + 0.666471i
\(237\) −0.0672850 + 0.0418836i −0.00437063 + 0.00272063i
\(238\) 15.0907 5.82058i 0.978186 0.377292i
\(239\) 20.2417i 1.30933i −0.755920 0.654664i \(-0.772810\pi\)
0.755920 0.654664i \(-0.227190\pi\)
\(240\) 0.871561 + 3.58899i 0.0562590 + 0.231669i
\(241\) −7.99312 4.61483i −0.514882 0.297267i 0.219956 0.975510i \(-0.429409\pi\)
−0.734838 + 0.678242i \(0.762742\pi\)
\(242\) −13.2292 4.70106i −0.850404 0.302196i
\(243\) −2.57477 15.3743i −0.165172 0.986265i
\(244\) −4.02016 + 1.53307i −0.257365 + 0.0981446i
\(245\) −2.33265 + 2.91263i −0.149027 + 0.186081i
\(246\) 4.30444 + 4.72414i 0.274441 + 0.301200i
\(247\) −4.58631 7.94372i −0.291820 0.505447i
\(248\) 0.144731 + 6.32352i 0.00919041 + 0.401544i
\(249\) 6.68998 0.222098i 0.423960 0.0140749i
\(250\) 4.75088 + 5.57496i 0.300472 + 0.352591i
\(251\) 8.22152i 0.518938i 0.965751 + 0.259469i \(0.0835475\pi\)
−0.965751 + 0.259469i \(0.916452\pi\)
\(252\) −15.8058 + 1.47513i −0.995673 + 0.0929241i
\(253\) 0.546129i 0.0343349i
\(254\) 8.81565 7.51254i 0.553143 0.471379i
\(255\) −3.98913 + 0.132434i −0.249809 + 0.00829332i
\(256\) 12.8611 + 9.51798i 0.803819 + 0.594874i
\(257\) −6.71468 11.6302i −0.418850 0.725470i 0.576974 0.816763i \(-0.304233\pi\)
−0.995824 + 0.0912928i \(0.970900\pi\)
\(258\) −3.38977 + 3.08862i −0.211038 + 0.192289i
\(259\) −13.9776 16.2763i −0.868525 1.01136i
\(260\) −1.89157 4.96026i −0.117310 0.307622i
\(261\) −23.1851 + 1.54112i −1.43512 + 0.0953932i
\(262\) 10.1466 28.5534i 0.626860 1.76404i
\(263\) 13.0415 + 7.52949i 0.804170 + 0.464288i 0.844927 0.534881i \(-0.179644\pi\)
−0.0407569 + 0.999169i \(0.512977\pi\)
\(264\) −1.25594 22.3759i −0.0772977 1.37714i
\(265\) 2.44458i 0.150170i
\(266\) 1.06734 6.80964i 0.0654431 0.417526i
\(267\) −24.2141 + 15.0728i −1.48188 + 0.922439i
\(268\) −15.2742 + 18.7775i −0.933018 + 1.14702i
\(269\) 11.5014 + 6.64035i 0.701254 + 0.404869i 0.807814 0.589437i \(-0.200650\pi\)
−0.106560 + 0.994306i \(0.533984\pi\)
\(270\) 3.80331 + 0.938309i 0.231462 + 0.0571037i
\(271\) 16.2954 9.40818i 0.989878 0.571506i 0.0846401 0.996412i \(-0.473026\pi\)
0.905238 + 0.424905i \(0.139693\pi\)
\(272\) −12.9005 + 11.5134i −0.782208 + 0.698103i
\(273\) 22.2720 4.96056i 1.34796 0.300227i
\(274\) −6.28792 + 1.15825i −0.379867 + 0.0699726i
\(275\) −10.7866 18.6830i −0.650459 1.12663i
\(276\) 0.381304 0.160094i 0.0229518 0.00963653i
\(277\) 20.1344 + 11.6246i 1.20976 + 0.698454i 0.962706 0.270548i \(-0.0872049\pi\)
0.247052 + 0.969002i \(0.420538\pi\)
\(278\) 15.9628 13.6032i 0.957383 0.815864i
\(279\) 6.01973 + 2.96170i 0.360392 + 0.177312i
\(280\) 1.23499 3.79325i 0.0738047 0.226690i
\(281\) 21.2736i 1.26908i 0.772892 + 0.634538i \(0.218810\pi\)
−0.772892 + 0.634538i \(0.781190\pi\)
\(282\) 4.33234 13.6066i 0.257987 0.810259i
\(283\) −4.31186 + 7.46836i −0.256314 + 0.443948i −0.965251 0.261323i \(-0.915841\pi\)
0.708938 + 0.705271i \(0.249175\pi\)
\(284\) 12.2554 + 1.96869i 0.727226 + 0.116820i
\(285\) −0.801119 + 1.50045i −0.0474542 + 0.0888792i
\(286\) 5.83563 + 31.6804i 0.345068 + 1.87330i
\(287\) −1.27634 6.78411i −0.0753399 0.400454i
\(288\) 15.2546 7.43624i 0.898885 0.438185i
\(289\) −0.843181 1.46043i −0.0495989 0.0859078i
\(290\) 1.95522 5.50214i 0.114814 0.323097i
\(291\) −12.4436 + 0.413111i −0.729457 + 0.0242170i
\(292\) 12.1760 14.9687i 0.712545 0.875977i
\(293\) 22.7441i 1.32872i −0.747411 0.664362i \(-0.768703\pi\)
0.747411 0.664362i \(-0.231297\pi\)
\(294\) 15.3647 + 7.61097i 0.896086 + 0.443881i
\(295\) −3.51782 −0.204815
\(296\) 20.1201 + 11.0104i 1.16946 + 0.639965i
\(297\) −21.6654 9.78032i −1.25715 0.567512i
\(298\) 28.7074 + 10.2013i 1.66297 + 0.590947i
\(299\) −0.514790 + 0.297214i −0.0297711 + 0.0171883i
\(300\) 9.88234 13.0080i 0.570557 0.751015i
\(301\) 4.86790 0.915828i 0.280581 0.0527875i
\(302\) −0.721270 3.91563i −0.0415044 0.225319i
\(303\) −3.14074 + 5.88243i −0.180431 + 0.337937i
\(304\) 1.50034 + 7.21433i 0.0860507 + 0.413770i
\(305\) −0.993166 0.573405i −0.0568685 0.0328331i
\(306\) 4.51132 + 17.7765i 0.257895 + 1.01621i
\(307\) −22.8169 −1.30223 −0.651114 0.758980i \(-0.725698\pi\)
−0.651114 + 0.758980i \(0.725698\pi\)
\(308\) −11.5397 + 21.2792i −0.657538 + 1.21250i
\(309\) 4.87261 + 7.82773i 0.277193 + 0.445304i
\(310\) −1.28319 + 1.09351i −0.0728801 + 0.0621071i
\(311\) 11.9871 20.7622i 0.679725 1.17732i −0.295339 0.955393i \(-0.595433\pi\)
0.975064 0.221925i \(-0.0712341\pi\)
\(312\) −20.4084 + 13.3613i −1.15540 + 0.756435i
\(313\) 19.4419 11.2248i 1.09892 0.634463i 0.162984 0.986629i \(-0.447888\pi\)
0.935938 + 0.352166i \(0.114555\pi\)
\(314\) 1.81602 + 9.85883i 0.102484 + 0.556366i
\(315\) −2.96347 3.02010i −0.166973 0.170163i
\(316\) −0.0855102 + 0.0326089i −0.00481032 + 0.00183439i
\(317\) 1.06072 + 1.83723i 0.0595762 + 0.103189i 0.894275 0.447517i \(-0.147692\pi\)
−0.834699 + 0.550706i \(0.814358\pi\)
\(318\) −10.9733 + 2.40029i −0.615352 + 0.134601i
\(319\) −17.7163 + 30.6856i −0.991924 + 1.71806i
\(320\) 0.195114 + 4.26020i 0.0109072 + 0.238152i
\(321\) −13.5467 + 8.43255i −0.756103 + 0.470659i
\(322\) −0.441296 0.0691689i −0.0245925 0.00385463i
\(323\) −7.96330 −0.443090
\(324\) 0.477509 17.9937i 0.0265283 0.999648i
\(325\) −11.7406 + 20.3353i −0.651252 + 1.12800i
\(326\) 3.08533 8.68238i 0.170881 0.480872i
\(327\) −3.99582 + 7.48396i −0.220969 + 0.413864i
\(328\) 3.83515 + 6.30496i 0.211761 + 0.348133i
\(329\) −11.7012 + 10.0486i −0.645108 + 0.553997i
\(330\) 4.41549 4.02321i 0.243065 0.221470i
\(331\) 1.25478 0.724448i 0.0689689 0.0398192i −0.465119 0.885248i \(-0.653988\pi\)
0.534088 + 0.845429i \(0.320655\pi\)
\(332\) 7.63134 + 1.22588i 0.418824 + 0.0672790i
\(333\) 20.2147 13.5340i 1.10776 0.741661i
\(334\) −18.5644 + 15.8203i −1.01580 + 0.865648i
\(335\) −6.45170 −0.352494
\(336\) −18.2398 1.81913i −0.995063 0.0992415i
\(337\) −21.6680 −1.18033 −0.590165 0.807282i \(-0.700937\pi\)
−0.590165 + 0.807282i \(0.700937\pi\)
\(338\) 12.6936 10.8173i 0.690442 0.588383i
\(339\) 6.70999 0.222762i 0.364436 0.0120988i
\(340\) −4.55045 0.730975i −0.246783 0.0396427i
\(341\) 8.85966 5.11513i 0.479778 0.277000i
\(342\) 7.52187 + 2.12281i 0.406736 + 0.114789i
\(343\) −9.80454 15.7121i −0.529396 0.848375i
\(344\) −4.52408 + 2.75189i −0.243922 + 0.148372i
\(345\) 0.0972364 + 0.0519162i 0.00523503 + 0.00279508i
\(346\) −7.94972 + 22.3712i −0.427380 + 1.20268i
\(347\) −13.7374 + 23.7939i −0.737463 + 1.27732i 0.216171 + 0.976356i \(0.430643\pi\)
−0.953634 + 0.300969i \(0.902690\pi\)
\(348\) −26.6179 3.37417i −1.42687 0.180875i
\(349\) −15.6203 −0.836134 −0.418067 0.908416i \(-0.637292\pi\)
−0.418067 + 0.908416i \(0.637292\pi\)
\(350\) −16.4629 + 6.34982i −0.879977 + 0.339412i
\(351\) 2.57163 + 25.7448i 0.137264 + 1.37415i
\(352\) 3.51868 25.6379i 0.187546 1.36650i
\(353\) −6.72613 + 11.6500i −0.357996 + 0.620067i −0.987626 0.156828i \(-0.949873\pi\)
0.629630 + 0.776895i \(0.283207\pi\)
\(354\) 3.45408 + 15.7909i 0.183582 + 0.839275i
\(355\) 1.65423 + 2.86521i 0.0877973 + 0.152069i
\(356\) −30.7728 + 11.7351i −1.63096 + 0.621957i
\(357\) 5.93824 18.8984i 0.314285 1.00021i
\(358\) −1.02980 5.59056i −0.0544265 0.295470i
\(359\) −19.9816 + 11.5364i −1.05459 + 0.608867i −0.923930 0.382561i \(-0.875042\pi\)
−0.130658 + 0.991428i \(0.541709\pi\)
\(360\) 4.10335 + 1.90349i 0.216265 + 0.100323i
\(361\) 7.80320 13.5155i 0.410695 0.711344i
\(362\) 15.9947 13.6304i 0.840661 0.716396i
\(363\) −14.5978 + 9.08684i −0.766186 + 0.476936i
\(364\) 26.3383 0.703018i 1.38050 0.0368482i
\(365\) 5.14305 0.269200
\(366\) −1.59874 + 5.02116i −0.0835675 + 0.262460i
\(367\) 18.6893 + 10.7903i 0.975574 + 0.563248i 0.900931 0.433963i \(-0.142885\pi\)
0.0746427 + 0.997210i \(0.476218\pi\)
\(368\) 0.467522 0.0972293i 0.0243713 0.00506843i
\(369\) 7.81018 0.519147i 0.406582 0.0270257i
\(370\) 1.10746 + 6.01218i 0.0575741 + 0.312558i
\(371\) 11.4477 + 4.01907i 0.594337 + 0.208659i
\(372\) 6.16850 + 4.68630i 0.319822 + 0.242973i
\(373\) −0.158888 + 0.0917338i −0.00822689 + 0.00474980i −0.504108 0.863641i \(-0.668179\pi\)
0.495881 + 0.868391i \(0.334845\pi\)
\(374\) 26.3520 + 9.36433i 1.36263 + 0.484218i
\(375\) 8.96593 0.297657i 0.462999 0.0153709i
\(376\) 7.91544 14.4645i 0.408208 0.745951i
\(377\) 38.5663 1.98627
\(378\) −10.6469 + 16.2679i −0.547618 + 0.836728i
\(379\) 2.93359i 0.150688i −0.997158 0.0753441i \(-0.975994\pi\)
0.997158 0.0753441i \(-0.0240055\pi\)
\(380\) −1.23937 + 1.52364i −0.0635786 + 0.0781612i
\(381\) −0.470683 14.1778i −0.0241138 0.726349i
\(382\) 9.35863 26.3359i 0.478829 1.34746i
\(383\) 7.67488 + 13.2933i 0.392168 + 0.679255i 0.992735 0.120319i \(-0.0383918\pi\)
−0.600567 + 0.799574i \(0.705058\pi\)
\(384\) 18.9317 5.05883i 0.966103 0.258158i
\(385\) −6.34088 + 1.19295i −0.323161 + 0.0607983i
\(386\) 3.22407 + 17.5028i 0.164101 + 0.890870i
\(387\) 0.372510 + 5.60414i 0.0189358 + 0.284875i
\(388\) −14.1946 2.28019i −0.720621 0.115759i
\(389\) −2.00060 + 3.46513i −0.101434 + 0.175689i −0.912276 0.409577i \(-0.865676\pi\)
0.810842 + 0.585266i \(0.199010\pi\)
\(390\) −6.19534 1.97260i −0.313713 0.0998864i
\(391\) 0.516059i 0.0260982i
\(392\) 15.7330 + 12.0197i 0.794636 + 0.607086i
\(393\) −19.6127 31.5074i −0.989332 1.58934i
\(394\) −9.06105 + 7.72167i −0.456489 + 0.389012i
\(395\) −0.0211250 0.0121965i −0.00106291 0.000613673i
\(396\) −22.3949 15.8700i −1.12539 0.797498i
\(397\) 11.7195 + 20.2987i 0.588183 + 1.01876i 0.994470 + 0.105017i \(0.0334897\pi\)
−0.406288 + 0.913745i \(0.633177\pi\)
\(398\) 19.9109 3.66765i 0.998044 0.183842i
\(399\) −5.70938 6.21841i −0.285826 0.311310i
\(400\) 14.0735 12.5603i 0.703675 0.628014i
\(401\) −14.5441 + 8.39703i −0.726297 + 0.419328i −0.817066 0.576544i \(-0.804401\pi\)
0.0907689 + 0.995872i \(0.471068\pi\)
\(402\) 6.33480 + 28.9605i 0.315951 + 1.44442i
\(403\) −9.64320 5.56751i −0.480362 0.277337i
\(404\) −4.85889 + 5.97334i −0.241739 + 0.297185i
\(405\) 3.80091 2.92770i 0.188869 0.145479i
\(406\) 22.5515 + 18.2020i 1.11921 + 0.903350i
\(407\) 37.0960i 1.83878i
\(408\) 1.18678 + 21.1439i 0.0587546 + 1.04678i
\(409\) 11.9749 + 6.91372i 0.592121 + 0.341861i 0.765936 0.642917i \(-0.222276\pi\)
−0.173815 + 0.984778i \(0.555609\pi\)
\(410\) −0.658639 + 1.85346i −0.0325278 + 0.0915360i
\(411\) −3.68816 + 6.90773i −0.181924 + 0.340733i
\(412\) 3.79362 + 9.94800i 0.186898 + 0.490103i
\(413\) 5.78354 16.4736i 0.284590 0.810613i
\(414\) 0.137568 0.487452i 0.00676111 0.0239570i
\(415\) 1.03007 + 1.78414i 0.0505643 + 0.0875799i
\(416\) −26.0816 + 10.6359i −1.27876 + 0.521466i
\(417\) −0.852279 25.6721i −0.0417363 1.25717i
\(418\) 9.07104 7.73018i 0.443679 0.378095i
\(419\) 17.5573i 0.857728i −0.903369 0.428864i \(-0.858914\pi\)
0.903369 0.428864i \(-0.141086\pi\)
\(420\) −2.69169 4.07746i −0.131341 0.198960i
\(421\) 19.8896i 0.969362i 0.874691 + 0.484681i \(0.161064\pi\)
−0.874691 + 0.484681i \(0.838936\pi\)
\(422\) −8.82709 10.3582i −0.429696 0.504230i
\(423\) −9.72973 14.5325i −0.473075 0.706595i
\(424\) −12.9671 + 0.296786i −0.629736 + 0.0144132i
\(425\) 10.1927 + 17.6543i 0.494419 + 0.856359i
\(426\) 11.2371 10.2388i 0.544442 0.496073i
\(427\) 4.31803 3.70818i 0.208964 0.179451i
\(428\) −17.2160 + 6.56525i −0.832168 + 0.317343i
\(429\) 34.8032 + 18.5821i 1.68032 + 0.897150i
\(430\) −1.32994 0.472602i −0.0641354 0.0227909i
\(431\) −25.3821 14.6544i −1.22261 0.705876i −0.257139 0.966374i \(-0.582780\pi\)
−0.965474 + 0.260498i \(0.916113\pi\)
\(432\) 4.51543 20.2882i 0.217249 0.976116i
\(433\) 12.5427i 0.602763i 0.953504 + 0.301381i \(0.0974477\pi\)
−0.953504 + 0.301381i \(0.902552\pi\)
\(434\) −3.01114 7.80684i −0.144540 0.374740i
\(435\) −3.77930 6.07137i −0.181204 0.291100i
\(436\) −6.18175 + 7.59962i −0.296052 + 0.363956i
\(437\) 0.190457 + 0.109961i 0.00911081 + 0.00526013i
\(438\) −5.04986 23.0862i −0.241292 1.10310i
\(439\) 11.7921 6.80818i 0.562807 0.324937i −0.191464 0.981500i \(-0.561324\pi\)
0.754271 + 0.656563i \(0.227990\pi\)
\(440\) 5.89302 3.58458i 0.280939 0.170888i
\(441\) 19.0150 8.91238i 0.905475 0.424399i
\(442\) −5.51431 29.9361i −0.262289 1.42391i
\(443\) 6.72205 + 11.6429i 0.319374 + 0.553172i 0.980358 0.197228i \(-0.0631940\pi\)
−0.660984 + 0.750400i \(0.729861\pi\)
\(444\) 25.9002 10.8744i 1.22917 0.516077i
\(445\) −7.60232 4.38920i −0.360384 0.208068i
\(446\) −18.5143 21.7257i −0.876677 1.02874i
\(447\) 31.6773 19.7185i 1.49828 0.932653i
\(448\) −20.2709 6.09036i −0.957708 0.287742i
\(449\) 16.3428i 0.771266i 0.922652 + 0.385633i \(0.126017\pi\)
−0.922652 + 0.385633i \(0.873983\pi\)
\(450\) −4.92151 19.3928i −0.232002 0.914185i
\(451\) 5.96796 10.3368i 0.281020 0.486742i
\(452\) 7.65417 + 1.22955i 0.360022 + 0.0578331i
\(453\) −4.30160 2.29670i −0.202107 0.107908i
\(454\) −1.66063 + 0.305893i −0.0779374 + 0.0143563i
\(455\) 4.57532 + 5.32779i 0.214494 + 0.249770i
\(456\) 8.05627 + 4.06730i 0.377270 + 0.190469i
\(457\) 14.6395 + 25.3564i 0.684808 + 1.18612i 0.973497 + 0.228699i \(0.0734472\pi\)
−0.288689 + 0.957423i \(0.593219\pi\)
\(458\) −30.3884 10.7987i −1.41996 0.504589i
\(459\) 20.4724 + 9.24180i 0.955572 + 0.431370i
\(460\) 0.0987391 + 0.0803173i 0.00460374 + 0.00374481i
\(461\) 6.06975i 0.282696i 0.989960 + 0.141348i \(0.0451437\pi\)
−0.989960 + 0.141348i \(0.954856\pi\)
\(462\) 11.5809 + 27.2917i 0.538793 + 1.26973i
\(463\) −3.30400 −0.153550 −0.0767750 0.997048i \(-0.524462\pi\)
−0.0767750 + 0.997048i \(0.524462\pi\)
\(464\) −29.4230 9.70327i −1.36593 0.450463i
\(465\) 0.0685115 + 2.06369i 0.00317715 + 0.0957011i
\(466\) 7.71421 21.7084i 0.357354 1.00562i
\(467\) −7.03895 + 4.06394i −0.325724 + 0.188057i −0.653941 0.756546i \(-0.726886\pi\)
0.328217 + 0.944602i \(0.393552\pi\)
\(468\) −2.77156 + 29.7466i −0.128116 + 1.37504i
\(469\) 10.6070 30.2127i 0.489788 1.39509i
\(470\) 4.32220 0.796161i 0.199368 0.0367242i
\(471\) 10.8306 + 5.78267i 0.499049 + 0.266451i
\(472\) 0.427083 + 18.6599i 0.0196581 + 0.858894i
\(473\) 7.41711 + 4.28227i 0.341039 + 0.196899i
\(474\) −0.0340057 + 0.106802i −0.00156194 + 0.00490557i
\(475\) 8.68736 0.398604
\(476\) 10.9043 20.1075i 0.499800 0.921628i
\(477\) −6.07328 + 12.3441i −0.278076 + 0.565198i
\(478\) −18.5672 21.7879i −0.849245 0.996554i
\(479\) 0.425876 0.737638i 0.0194588 0.0337035i −0.856132 0.516757i \(-0.827139\pi\)
0.875591 + 0.483054i \(0.160472\pi\)
\(480\) 4.23023 + 3.06368i 0.193083 + 0.139837i
\(481\) −34.9673 + 20.1884i −1.59437 + 0.920510i
\(482\) −12.8368 + 2.36457i −0.584698 + 0.107703i
\(483\) −0.402982 + 0.369994i −0.0183363 + 0.0168353i
\(484\) −18.5519 + 7.07466i −0.843266 + 0.321575i
\(485\) −1.91597 3.31856i −0.0869999 0.150688i
\(486\) −16.8740 14.1869i −0.765419 0.643533i
\(487\) −2.45804 + 4.25745i −0.111384 + 0.192923i −0.916329 0.400427i \(-0.868862\pi\)
0.804944 + 0.593350i \(0.202195\pi\)
\(488\) −2.92100 + 5.33777i −0.132227 + 0.241630i
\(489\) −5.96374 9.58062i −0.269690 0.433250i
\(490\) 0.160865 + 5.27480i 0.00726712 + 0.238291i
\(491\) −5.07434 −0.229002 −0.114501 0.993423i \(-0.536527\pi\)
−0.114501 + 0.993423i \(0.536527\pi\)
\(492\) 8.96657 + 1.13663i 0.404244 + 0.0512433i
\(493\) 16.7408 28.9960i 0.753970 1.30591i
\(494\) −12.2232 4.34359i −0.549949 0.195427i
\(495\) −0.485228 7.29991i −0.0218094 0.328106i
\(496\) 5.95620 + 6.67378i 0.267441 + 0.299662i
\(497\) −16.1372 + 3.03599i −0.723850 + 0.136183i
\(498\) 6.99726 6.37562i 0.313555 0.285698i
\(499\) 17.6743 10.2042i 0.791209 0.456805i −0.0491790 0.998790i \(-0.515660\pi\)
0.840388 + 0.541985i \(0.182327\pi\)
\(500\) 10.2276 + 1.64293i 0.457390 + 0.0734742i
\(501\) 0.991187 + 29.8563i 0.0442830 + 1.33388i
\(502\) 7.54141 + 8.84952i 0.336589 + 0.394973i
\(503\) −26.6102 −1.18649 −0.593245 0.805022i \(-0.702153\pi\)
−0.593245 + 0.805022i \(0.702153\pi\)
\(504\) −15.6601 + 16.0861i −0.697554 + 0.716532i
\(505\) −2.05236 −0.0913289
\(506\) −0.500951 0.587845i −0.0222700 0.0261329i
\(507\) −0.677734 20.4145i −0.0300992 0.906641i
\(508\) 2.59796 16.1728i 0.115266 0.717551i
\(509\) −24.9978 + 14.4325i −1.10801 + 0.639710i −0.938313 0.345787i \(-0.887612\pi\)
−0.169697 + 0.985496i \(0.554279\pi\)
\(510\) −4.17236 + 3.80168i −0.184755 + 0.168341i
\(511\) −8.45553 + 24.0844i −0.374051 + 1.06543i
\(512\) 22.5741 1.55218i 0.997644 0.0685972i
\(513\) 7.77301 5.58637i 0.343187 0.246644i
\(514\) −17.8957 6.35932i −0.789343 0.280498i
\(515\) −1.41891 + 2.45762i −0.0625245 + 0.108296i
\(516\) −0.815582 + 6.43390i −0.0359040 + 0.283237i
\(517\) −26.6686 −1.17288
\(518\) −29.9752 4.69832i −1.31703 0.206432i
\(519\) 15.3663 + 24.6856i 0.674505 + 1.08358i
\(520\) −6.58599 3.60406i −0.288815 0.158048i
\(521\) 12.5564 21.7483i 0.550105 0.952811i −0.448161 0.893953i \(-0.647921\pi\)
0.998266 0.0588577i \(-0.0187458\pi\)
\(522\) −23.5424 + 22.9260i −1.03042 + 1.00344i
\(523\) 1.54754 + 2.68042i 0.0676692 + 0.117206i 0.897875 0.440251i \(-0.145110\pi\)
−0.830206 + 0.557457i \(0.811777\pi\)
\(524\) −15.2697 40.0417i −0.667060 1.74923i
\(525\) −6.47818 + 20.6168i −0.282731 + 0.899790i
\(526\) 20.9442 3.85799i 0.913212 0.168216i
\(527\) −8.37183 + 4.83348i −0.364683 + 0.210550i
\(528\) −21.8768 22.9331i −0.952065 0.998035i
\(529\) −11.4929 + 19.9062i −0.499690 + 0.865489i
\(530\) −2.24236 2.63131i −0.0974018 0.114297i
\(531\) 17.7635 + 8.73962i 0.770871 + 0.379267i
\(532\) −5.09745 8.30884i −0.221002 0.360234i
\(533\) −12.9915 −0.562726
\(534\) −12.2378 + 38.4351i −0.529580 + 1.66325i
\(535\) −4.25316 2.45556i −0.183880 0.106163i
\(536\) 0.783272 + 34.2224i 0.0338322 + 1.47818i
\(537\) −6.14163 3.27913i −0.265031 0.141505i
\(538\) 18.4710 3.40241i 0.796341 0.146688i
\(539\) 4.83838 31.6550i 0.208404 1.36348i
\(540\) 4.95451 2.47870i 0.213208 0.106666i
\(541\) 23.8925 13.7944i 1.02722 0.593066i 0.111033 0.993817i \(-0.464584\pi\)
0.916187 + 0.400751i \(0.131251\pi\)
\(542\) 8.91027 25.0742i 0.382729 1.07703i
\(543\) −0.853983 25.7234i −0.0366479 1.10390i
\(544\) −3.32494 + 24.2262i −0.142556 + 1.03869i
\(545\) −2.61113 −0.111849
\(546\) 19.4231 25.7691i 0.831230 1.10281i
\(547\) 32.0757i 1.37146i 0.727856 + 0.685730i \(0.240517\pi\)
−0.727856 + 0.685730i \(0.759483\pi\)
\(548\) −5.70579 + 7.01449i −0.243739 + 0.299644i
\(549\) 3.59051 + 5.36286i 0.153239 + 0.228881i
\(550\) −28.7481 10.2158i −1.22582 0.435603i
\(551\) −7.13420 12.3568i −0.303927 0.526417i
\(552\) 0.263580 0.522084i 0.0112187 0.0222214i
\(553\) 0.0918460 0.0788743i 0.00390569 0.00335407i
\(554\) 32.3353 5.95626i 1.37380 0.253057i
\(555\) 6.60480 + 3.52642i 0.280358 + 0.149688i
\(556\) 4.70420 29.2845i 0.199503 1.24194i
\(557\) −8.23577 + 14.2648i −0.348961 + 0.604417i −0.986065 0.166360i \(-0.946799\pi\)
0.637104 + 0.770777i \(0.280132\pi\)
\(558\) 9.19624 2.33383i 0.389308 0.0987988i
\(559\) 9.32199i 0.394278i
\(560\) −2.15013 5.21582i −0.0908596 0.220409i
\(561\) 29.0782 18.1006i 1.22768 0.764209i
\(562\) 19.5138 + 22.8986i 0.823138 + 0.965918i
\(563\) 14.5542 + 8.40290i 0.613388 + 0.354140i 0.774290 0.632830i \(-0.218107\pi\)
−0.160902 + 0.986970i \(0.551440\pi\)
\(564\) −7.81771 18.6198i −0.329185 0.784037i
\(565\) 1.03315 + 1.78947i 0.0434651 + 0.0752837i
\(566\) 2.20933 + 11.9940i 0.0928650 + 0.504145i
\(567\) 7.46118 + 22.6126i 0.313340 + 0.949641i
\(568\) 14.9974 9.12255i 0.629277 0.382774i
\(569\) −32.1947 + 18.5876i −1.34967 + 0.779235i −0.988203 0.153149i \(-0.951059\pi\)
−0.361471 + 0.932383i \(0.617725\pi\)
\(570\) 0.514018 + 2.34991i 0.0215298 + 0.0984270i
\(571\) −6.80801 3.93061i −0.284906 0.164491i 0.350736 0.936474i \(-0.385931\pi\)
−0.635642 + 0.771984i \(0.719265\pi\)
\(572\) 35.3411 + 28.7475i 1.47769 + 1.20199i
\(573\) −18.0896 29.0605i −0.755704 1.21402i
\(574\) −7.59674 6.13156i −0.317082 0.255927i
\(575\) 0.562982i 0.0234780i
\(576\) 9.59872 21.9969i 0.399947 0.916538i
\(577\) 14.7236 + 8.50067i 0.612951 + 0.353888i 0.774120 0.633039i \(-0.218193\pi\)
−0.161168 + 0.986927i \(0.551526\pi\)
\(578\) −2.24721 0.798558i −0.0934715 0.0332156i
\(579\) 19.2281 + 10.2662i 0.799092 + 0.426650i
\(580\) −2.94242 7.71589i −0.122177 0.320385i
\(581\) −10.0484 + 1.89048i −0.416880 + 0.0784303i
\(582\) −13.0152 + 11.8589i −0.539497 + 0.491567i
\(583\) 10.4891 + 18.1677i 0.434415 + 0.752429i
\(584\) −0.624395 27.2808i −0.0258376 1.12889i
\(585\) −6.61694 + 4.43014i −0.273577 + 0.183164i
\(586\) −20.8626 24.4814i −0.861826 1.01132i
\(587\) 24.3750i 1.00606i −0.864268 0.503032i \(-0.832218\pi\)
0.864268 0.503032i \(-0.167782\pi\)
\(588\) 23.5197 5.90131i 0.969935 0.243366i
\(589\) 4.11963i 0.169746i
\(590\) −3.78653 + 3.22681i −0.155889 + 0.132846i
\(591\) 0.483785 + 14.5724i 0.0199003 + 0.599430i
\(592\) 31.7566 6.60433i 1.30519 0.271436i
\(593\) 0.0286004 + 0.0495374i 0.00117448 + 0.00203426i 0.866612 0.498983i \(-0.166293\pi\)
−0.865438 + 0.501017i \(0.832959\pi\)
\(594\) −32.2915 + 9.34574i −1.32494 + 0.383460i
\(595\) 5.99174 1.12726i 0.245637 0.0462133i
\(596\) 40.2576 15.3520i 1.64902 0.628844i
\(597\) 11.6787 21.8736i 0.477977 0.895225i
\(598\) −0.281485 + 0.792122i −0.0115108 + 0.0323923i
\(599\) 35.8620 + 20.7049i 1.46528 + 0.845980i 0.999247 0.0387877i \(-0.0123496\pi\)
0.466033 + 0.884768i \(0.345683\pi\)
\(600\) −1.29469 23.0664i −0.0528556 0.941682i
\(601\) 23.8559i 0.973104i −0.873652 0.486552i \(-0.838254\pi\)
0.873652 0.486552i \(-0.161746\pi\)
\(602\) 4.39966 5.45099i 0.179317 0.222166i
\(603\) 32.5783 + 16.0285i 1.32669 + 0.652731i
\(604\) −4.36808 3.55312i −0.177735 0.144574i
\(605\) −4.58317 2.64609i −0.186332 0.107579i
\(606\) 2.01517 + 9.21268i 0.0818608 + 0.374240i
\(607\) −33.6542 + 19.4303i −1.36598 + 0.788650i −0.990412 0.138144i \(-0.955886\pi\)
−0.375570 + 0.926794i \(0.622553\pi\)
\(608\) 8.23248 + 6.38917i 0.333871 + 0.259115i
\(609\) 34.6450 7.71636i 1.40389 0.312683i
\(610\) −1.59500 + 0.293803i −0.0645796 + 0.0118958i
\(611\) 14.5136 + 25.1382i 0.587156 + 1.01698i
\(612\) 21.1618 + 14.9962i 0.855417 + 0.606185i
\(613\) −16.8751 9.74286i −0.681580 0.393510i 0.118870 0.992910i \(-0.462073\pi\)
−0.800450 + 0.599400i \(0.795406\pi\)
\(614\) −24.5597 + 20.9294i −0.991150 + 0.844641i
\(615\) 1.27311 + 2.04521i 0.0513366 + 0.0824710i
\(616\) 7.09771 + 33.4898i 0.285975 + 1.34934i
\(617\) 21.5819i 0.868854i 0.900707 + 0.434427i \(0.143049\pi\)
−0.900707 + 0.434427i \(0.856951\pi\)
\(618\) 12.4250 + 3.95613i 0.499807 + 0.159139i
\(619\) −5.60757 + 9.71259i −0.225387 + 0.390382i −0.956436 0.291944i \(-0.905698\pi\)
0.731048 + 0.682326i \(0.239031\pi\)
\(620\) −0.378153 + 2.35407i −0.0151870 + 0.0945418i
\(621\) −0.362023 0.503728i −0.0145275 0.0202139i
\(622\) −6.14199 33.3436i −0.246271 1.33696i
\(623\) 33.0529 28.3847i 1.32424 1.13721i
\(624\) −9.71132 + 33.1021i −0.388764 + 1.32514i
\(625\) −10.4090 18.0290i −0.416362 0.721160i
\(626\) 10.6307 29.9158i 0.424890 1.19568i
\(627\) −0.484318 14.5885i −0.0193418 0.582609i
\(628\) 10.9980 + 8.94611i 0.438869 + 0.356988i
\(629\) 35.0534i 1.39767i
\(630\) −5.96010 0.532469i −0.237456 0.0212141i
\(631\) −22.3220 −0.888626 −0.444313 0.895872i \(-0.646552\pi\)
−0.444313 + 0.895872i \(0.646552\pi\)
\(632\) −0.0621306 + 0.113536i −0.00247142 + 0.00451623i
\(633\) −16.6586 + 0.553043i −0.662121 + 0.0219815i
\(634\) 2.82699 + 1.00459i 0.112274 + 0.0398973i
\(635\) 3.78105 2.18299i 0.150046 0.0866292i
\(636\) −9.60976 + 12.6492i −0.381052 + 0.501572i
\(637\) −32.4716 + 12.6665i −1.28657 + 0.501866i
\(638\) 9.07756 + 49.2803i 0.359384 + 1.95102i
\(639\) −1.23488 18.5778i −0.0488510 0.734927i
\(640\) 4.11779 + 4.40664i 0.162770 + 0.174188i
\(641\) −10.9414 6.31703i −0.432160 0.249508i 0.268107 0.963389i \(-0.413602\pi\)
−0.700266 + 0.713882i \(0.746935\pi\)
\(642\) −6.84648 + 21.5027i −0.270209 + 0.848645i
\(643\) −25.9092 −1.02176 −0.510879 0.859652i \(-0.670680\pi\)
−0.510879 + 0.859652i \(0.670680\pi\)
\(644\) −0.538452 + 0.330338i −0.0212180 + 0.0130172i
\(645\) −1.46753 + 0.913508i −0.0577839 + 0.0359693i
\(646\) −8.57157 + 7.30454i −0.337244 + 0.287393i
\(647\) −8.29783 + 14.3723i −0.326221 + 0.565032i −0.981759 0.190131i \(-0.939109\pi\)
0.655538 + 0.755163i \(0.272442\pi\)
\(648\) −15.9912 19.8061i −0.628193 0.778058i
\(649\) 26.1438 15.0941i 1.02623 0.592496i
\(650\) 6.01570 + 32.6580i 0.235955 + 1.28095i
\(651\) −9.77667 3.07201i −0.383178 0.120402i
\(652\) −4.64313 12.1757i −0.181839 0.476836i
\(653\) 2.57443 + 4.45904i 0.100745 + 0.174496i 0.911992 0.410208i \(-0.134544\pi\)
−0.811247 + 0.584704i \(0.801211\pi\)
\(654\) 2.56382 + 11.7209i 0.100253 + 0.458323i
\(655\) 5.71124 9.89216i 0.223157 0.386519i
\(656\) 9.91149 + 3.26867i 0.386979 + 0.127620i
\(657\) −25.9702 12.7773i −1.01319 0.498490i
\(658\) −3.37766 + 21.5494i −0.131675 + 0.840082i
\(659\) 20.6891 0.805934 0.402967 0.915214i \(-0.367979\pi\)
0.402967 + 0.915214i \(0.367979\pi\)
\(660\) 1.06237 8.38074i 0.0413527 0.326220i
\(661\) 12.3911 21.4621i 0.481960 0.834779i −0.517826 0.855486i \(-0.673258\pi\)
0.999786 + 0.0207072i \(0.00659177\pi\)
\(662\) 0.686108 1.93076i 0.0266663 0.0750413i
\(663\) −32.8869 17.5589i −1.27722 0.681931i
\(664\) 9.33873 5.68053i 0.362413 0.220447i
\(665\) 0.860676 2.45151i 0.0333756 0.0950657i
\(666\) 9.34435 33.1103i 0.362086 1.28300i
\(667\) −0.800778 + 0.462329i −0.0310063 + 0.0179015i
\(668\) −5.47091 + 34.0574i −0.211676 + 1.31772i
\(669\) −34.9404 + 1.15997i −1.35088 + 0.0448472i
\(670\) −6.94451 + 5.91799i −0.268290 + 0.228632i
\(671\) 9.84137 0.379922
\(672\) −21.3017 + 14.7729i −0.821731 + 0.569876i
\(673\) 0.492833 0.0189973 0.00949866 0.999955i \(-0.496976\pi\)
0.00949866 + 0.999955i \(0.496976\pi\)
\(674\) −23.3231 + 19.8755i −0.898372 + 0.765577i
\(675\) −22.3339 10.0821i −0.859633 0.388061i
\(676\) 3.74079 23.2871i 0.143877 0.895659i
\(677\) 35.2987 20.3797i 1.35664 0.783256i 0.367471 0.930035i \(-0.380224\pi\)
0.989169 + 0.146779i \(0.0468905\pi\)
\(678\) 7.01819 6.39469i 0.269532 0.245587i
\(679\) 18.6905 3.51636i 0.717276 0.134946i
\(680\) −5.56854 + 3.38721i −0.213544 + 0.129894i
\(681\) −0.974039 + 1.82432i −0.0373253 + 0.0699082i
\(682\) 4.84442 13.6326i 0.185502 0.522019i
\(683\) 14.8402 25.7039i 0.567843 0.983532i −0.428936 0.903335i \(-0.641112\pi\)
0.996779 0.0801976i \(-0.0255551\pi\)
\(684\) 10.0436 4.61467i 0.384028 0.176446i
\(685\) −2.41009 −0.0920846
\(686\) −24.9658 7.91882i −0.953200 0.302342i
\(687\) −33.5322 + 20.8731i −1.27933 + 0.796360i
\(688\) −2.34541 + 7.11192i −0.0894179 + 0.271139i
\(689\) 11.4168 19.7744i 0.434944 0.753346i
\(690\) 0.152285 0.0333107i 0.00579740 0.00126812i
\(691\) −3.83116 6.63576i −0.145744 0.252436i 0.783906 0.620879i \(-0.213224\pi\)
−0.929650 + 0.368443i \(0.879891\pi\)
\(692\) 11.9636 + 31.3721i 0.454787 + 1.19259i
\(693\) 34.9825 + 9.72928i 1.32887 + 0.369585i
\(694\) 7.03883 + 38.2124i 0.267190 + 1.45052i
\(695\) 6.84645 3.95280i 0.259701 0.149938i
\(696\) −31.7462 + 20.7841i −1.20334 + 0.787818i
\(697\) −5.63936 + 9.76765i −0.213606 + 0.369976i
\(698\) −16.8134 + 14.3281i −0.636398 + 0.542327i
\(699\) −14.9111 23.9543i −0.563988 0.906034i
\(700\) −11.8958 + 21.9358i −0.449620 + 0.829097i
\(701\) −6.75507 −0.255136 −0.127568 0.991830i \(-0.540717\pi\)
−0.127568 + 0.991830i \(0.540717\pi\)
\(702\) 26.3831 + 25.3524i 0.995767 + 0.956864i
\(703\) 12.9369 + 7.46910i 0.487923 + 0.281702i
\(704\) −19.7295 30.8238i −0.743585 1.16172i
\(705\) 2.53517 4.74825i 0.0954801 0.178829i
\(706\) 3.44636 + 18.7096i 0.129706 + 0.704145i
\(707\) 3.37423 9.61100i 0.126901 0.361459i
\(708\) 18.2025 + 13.8287i 0.684092 + 0.519715i
\(709\) −36.0884 + 20.8357i −1.35533 + 0.782499i −0.988990 0.147982i \(-0.952722\pi\)
−0.366339 + 0.930482i \(0.619389\pi\)
\(710\) 4.40877 + 1.56668i 0.165458 + 0.0587965i
\(711\) 0.0763714 + 0.114070i 0.00286415 + 0.00427795i
\(712\) −22.3591 + 40.8586i −0.837944 + 1.53124i
\(713\) 0.266971 0.00999815
\(714\) −10.9433 25.7890i −0.409541 0.965129i
\(715\) 12.1427i 0.454112i
\(716\) −6.23655 5.07299i −0.233071 0.189587i
\(717\) −35.0404 + 1.16329i −1.30861 + 0.0434439i
\(718\) −10.9258 + 30.7462i −0.407749 + 1.14744i
\(719\) 23.2782 + 40.3190i 0.868131 + 1.50365i 0.863904 + 0.503656i \(0.168012\pi\)
0.00422645 + 0.999991i \(0.498655\pi\)
\(720\) 6.16281 1.71502i 0.229674 0.0639149i
\(721\) −9.17600 10.6851i −0.341732 0.397934i
\(722\) −3.99823 21.7056i −0.148799 0.807799i
\(723\) −7.52936 + 14.1021i −0.280020 + 0.524462i
\(724\) 4.71360 29.3431i 0.175180 1.09053i
\(725\) −18.2630 + 31.6325i −0.678271 + 1.17480i
\(726\) −7.37771 + 23.1712i −0.273813 + 0.859962i
\(727\) 10.7218i 0.397651i 0.980035 + 0.198825i \(0.0637127\pi\)
−0.980035 + 0.198825i \(0.936287\pi\)
\(728\) 27.7053 24.9162i 1.02683 0.923456i
\(729\) −26.4665 + 5.34075i −0.980241 + 0.197805i
\(730\) 5.53590 4.71760i 0.204893 0.174606i
\(731\) −7.00871 4.04648i −0.259227 0.149665i
\(732\) 2.88493 + 6.87119i 0.106630 + 0.253966i
\(733\) 12.5202 + 21.6857i 0.462445 + 0.800979i 0.999082 0.0428345i \(-0.0136388\pi\)
−0.536637 + 0.843813i \(0.680305\pi\)
\(734\) 30.0145 5.52876i 1.10786 0.204070i
\(735\) 5.17611 + 3.87065i 0.190924 + 0.142771i
\(736\) 0.414048 0.533503i 0.0152620 0.0196652i
\(737\) 47.9478 27.6827i 1.76618 1.01971i
\(738\) 7.93056 7.72290i 0.291928 0.284284i
\(739\) 45.0173 + 25.9908i 1.65599 + 0.956086i 0.974538 + 0.224224i \(0.0719846\pi\)
0.681452 + 0.731863i \(0.261349\pi\)
\(740\) 6.70688 + 5.45557i 0.246550 + 0.200551i
\(741\) −13.4878 + 8.39588i −0.495486 + 0.308430i
\(742\) 16.0088 6.17468i 0.587700 0.226679i
\(743\) 26.4603i 0.970735i −0.874310 0.485367i \(-0.838686\pi\)
0.874310 0.485367i \(-0.161314\pi\)
\(744\) 10.9383 0.613956i 0.401018 0.0225087i
\(745\) 9.94549 + 5.74203i 0.364375 + 0.210372i
\(746\) −0.0868790 + 0.244485i −0.00318087 + 0.00895122i
\(747\) −0.768946 11.5682i −0.0281343 0.423260i
\(748\) 36.9546 14.0924i 1.35119 0.515270i
\(749\) 18.4916 15.8800i 0.675670 0.580242i
\(750\) 9.37776 8.54463i 0.342428 0.312006i
\(751\) −9.69510 16.7924i −0.353779 0.612763i 0.633129 0.774046i \(-0.281770\pi\)
−0.986908 + 0.161283i \(0.948437\pi\)
\(752\) −4.74790 22.8300i −0.173138 0.832526i
\(753\) 14.2323 0.472491i 0.518652 0.0172185i
\(754\) 41.5122 35.3759i 1.51178 1.28832i
\(755\) 1.50081i 0.0546202i
\(756\) 3.46195 + 27.2766i 0.125910 + 0.992042i
\(757\) 5.19772i 0.188914i 0.995529 + 0.0944572i \(0.0301115\pi\)
−0.995529 + 0.0944572i \(0.969888\pi\)
\(758\) −2.69091 3.15767i −0.0977382 0.114692i
\(759\) −0.945403 + 0.0313861i −0.0343160 + 0.00113924i
\(760\) 0.0635562 + 2.77687i 0.00230543 + 0.100728i
\(761\) −18.8681 32.6805i −0.683969 1.18467i −0.973760 0.227578i \(-0.926919\pi\)
0.289791 0.957090i \(-0.406414\pi\)
\(762\) −13.5116 14.8290i −0.489473 0.537198i
\(763\) 4.29288 12.2277i 0.155413 0.442671i
\(764\) −14.0839 36.9321i −0.509536 1.33616i
\(765\) 0.458511 + 6.89796i 0.0165775 + 0.249396i
\(766\) 20.4547 + 7.26871i 0.739060 + 0.262629i
\(767\) −28.4559 16.4290i −1.02748 0.593218i
\(768\) 15.7374 22.8108i 0.567875 0.823115i
\(769\) 13.9517i 0.503110i −0.967843 0.251555i \(-0.919058\pi\)
0.967843 0.251555i \(-0.0809419\pi\)
\(770\) −5.73096 + 7.10041i −0.206529 + 0.255881i
\(771\) −19.7471 + 12.2921i −0.711173 + 0.442691i
\(772\) 19.5253 + 15.8824i 0.702729 + 0.571620i