Properties

Label 273.2.cd.e.44.6
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 44.6
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.00566 + 0.537415i) q^{2} +(-0.123517 + 1.72764i) q^{3} +(2.00181 - 1.15574i) q^{4} +(0.878767 - 0.235465i) q^{5} +(-0.680727 - 3.53144i) q^{6} +(-1.67646 - 2.04682i) q^{7} +(-0.457340 + 0.457340i) q^{8} +(-2.96949 - 0.426786i) q^{9} +O(q^{10})\) \(q+(-2.00566 + 0.537415i) q^{2} +(-0.123517 + 1.72764i) q^{3} +(2.00181 - 1.15574i) q^{4} +(0.878767 - 0.235465i) q^{5} +(-0.680727 - 3.53144i) q^{6} +(-1.67646 - 2.04682i) q^{7} +(-0.457340 + 0.457340i) q^{8} +(-2.96949 - 0.426786i) q^{9} +(-1.63596 + 0.944525i) q^{10} +(-3.17403 - 0.850480i) q^{11} +(1.74945 + 3.60116i) q^{12} +(-2.59867 - 2.49938i) q^{13} +(4.46240 + 3.20427i) q^{14} +(0.298256 + 1.54728i) q^{15} +(-1.64000 + 2.84056i) q^{16} +(0.340290 + 0.589400i) q^{17} +(6.18514 - 0.739860i) q^{18} +(-1.05752 - 3.94670i) q^{19} +(1.48698 - 1.48698i) q^{20} +(3.74324 - 2.64350i) q^{21} +6.82309 q^{22} +(3.79107 - 6.56633i) q^{23} +(-0.733630 - 0.846608i) q^{24} +(-3.61334 + 2.08616i) q^{25} +(6.55525 + 3.61635i) q^{26} +(1.10411 - 5.07749i) q^{27} +(-5.72155 - 2.15978i) q^{28} +4.42254i q^{29} +(-1.42973 - 2.94302i) q^{30} +(-3.11158 - 0.833747i) q^{31} +(2.09752 - 7.82804i) q^{32} +(1.86137 - 5.37854i) q^{33} +(-0.999259 - 0.999259i) q^{34} +(-1.95517 - 1.40393i) q^{35} +(-6.43759 + 2.57762i) q^{36} +(8.41103 - 2.25373i) q^{37} +(4.24203 + 7.34742i) q^{38} +(4.63902 - 4.18085i) q^{39} +(-0.294207 + 0.509582i) q^{40} +(-2.65335 - 2.65335i) q^{41} +(-6.08702 + 7.31365i) q^{42} -7.55705i q^{43} +(-7.33674 + 1.96587i) q^{44} +(-2.70998 + 0.324165i) q^{45} +(-4.07476 + 15.2072i) q^{46} +(1.92787 + 7.19489i) q^{47} +(-4.70491 - 3.18419i) q^{48} +(-1.37896 + 6.86283i) q^{49} +(6.12600 - 6.12600i) q^{50} +(-1.06030 + 0.515099i) q^{51} +(-8.09068 - 1.99988i) q^{52} +(-8.39899 + 4.84916i) q^{53} +(0.514242 + 10.7771i) q^{54} -2.98949 q^{55} +(1.70280 + 0.169381i) q^{56} +(6.94911 - 1.33952i) q^{57} +(-2.37674 - 8.87010i) q^{58} +(-5.15217 - 1.38052i) q^{59} +(2.38531 + 2.75264i) q^{60} +(-4.47892 + 7.75771i) q^{61} +6.68885 q^{62} +(4.10467 + 6.79350i) q^{63} +10.2676i q^{64} +(-2.87214 - 1.58448i) q^{65} +(-0.842767 + 11.7879i) q^{66} +(8.41297 + 2.25425i) q^{67} +(1.36239 + 0.786577i) q^{68} +(10.8760 + 7.36067i) q^{69} +(4.67590 + 1.76507i) q^{70} +(-5.49494 - 5.49494i) q^{71} +(1.55325 - 1.16288i) q^{72} +(1.20005 - 4.47865i) q^{73} +(-15.6585 + 9.04042i) q^{74} +(-3.15783 - 6.50023i) q^{75} +(-6.67832 - 6.67832i) q^{76} +(3.58036 + 7.92248i) q^{77} +(-7.05744 + 10.8784i) q^{78} +(-0.898260 + 1.55583i) q^{79} +(-0.772325 + 2.88236i) q^{80} +(8.63571 + 2.53467i) q^{81} +(6.74767 + 3.89577i) q^{82} +(-7.56791 - 7.56791i) q^{83} +(4.43804 - 9.61802i) q^{84} +(0.437819 + 0.437819i) q^{85} +(4.06127 + 15.1569i) q^{86} +(-7.64056 - 0.546258i) q^{87} +(1.84057 - 1.06265i) q^{88} +(-0.240113 - 0.896114i) q^{89} +(5.26109 - 2.10655i) q^{90} +(-0.759223 + 9.50913i) q^{91} -17.5260i q^{92} +(1.82475 - 5.27272i) q^{93} +(-7.73329 - 13.3944i) q^{94} +(-1.85862 - 3.21922i) q^{95} +(13.2650 + 4.59065i) q^{96} +(-3.00938 + 3.00938i) q^{97} +(-0.922464 - 14.5056i) q^{98} +(9.06228 + 3.88012i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.00566 + 0.537415i −1.41822 + 0.380010i −0.884850 0.465875i \(-0.845740\pi\)
−0.533365 + 0.845885i \(0.679073\pi\)
\(3\) −0.123517 + 1.72764i −0.0713125 + 0.997454i
\(4\) 2.00181 1.15574i 1.00090 0.577872i
\(5\) 0.878767 0.235465i 0.392996 0.105303i −0.0569088 0.998379i \(-0.518124\pi\)
0.449905 + 0.893076i \(0.351458\pi\)
\(6\) −0.680727 3.53144i −0.277906 1.44170i
\(7\) −1.67646 2.04682i −0.633643 0.773626i
\(8\) −0.457340 + 0.457340i −0.161694 + 0.161694i
\(9\) −2.96949 0.426786i −0.989829 0.142262i
\(10\) −1.63596 + 0.944525i −0.517337 + 0.298685i
\(11\) −3.17403 0.850480i −0.957007 0.256429i −0.253674 0.967290i \(-0.581639\pi\)
−0.703333 + 0.710861i \(0.748306\pi\)
\(12\) 1.74945 + 3.60116i 0.505024 + 1.03956i
\(13\) −2.59867 2.49938i −0.720741 0.693204i
\(14\) 4.46240 + 3.20427i 1.19263 + 0.856378i
\(15\) 0.298256 + 1.54728i 0.0770094 + 0.399505i
\(16\) −1.64000 + 2.84056i −0.410000 + 0.710141i
\(17\) 0.340290 + 0.589400i 0.0825325 + 0.142951i 0.904337 0.426819i \(-0.140366\pi\)
−0.821805 + 0.569769i \(0.807033\pi\)
\(18\) 6.18514 0.739860i 1.45785 0.174387i
\(19\) −1.05752 3.94670i −0.242611 0.905436i −0.974569 0.224087i \(-0.928060\pi\)
0.731958 0.681349i \(-0.238606\pi\)
\(20\) 1.48698 1.48698i 0.332500 0.332500i
\(21\) 3.74324 2.64350i 0.816843 0.576860i
\(22\) 6.82309 1.45469
\(23\) 3.79107 6.56633i 0.790493 1.36917i −0.135168 0.990823i \(-0.543158\pi\)
0.925662 0.378352i \(-0.123509\pi\)
\(24\) −0.733630 0.846608i −0.149752 0.172813i
\(25\) −3.61334 + 2.08616i −0.722668 + 0.417233i
\(26\) 6.55525 + 3.61635i 1.28559 + 0.709224i
\(27\) 1.10411 5.07749i 0.212487 0.977164i
\(28\) −5.72155 2.15978i −1.08127 0.408161i
\(29\) 4.42254i 0.821244i 0.911806 + 0.410622i \(0.134688\pi\)
−0.911806 + 0.410622i \(0.865312\pi\)
\(30\) −1.42973 2.94302i −0.261032 0.537320i
\(31\) −3.11158 0.833747i −0.558857 0.149745i −0.0316759 0.999498i \(-0.510084\pi\)
−0.527181 + 0.849753i \(0.676751\pi\)
\(32\) 2.09752 7.82804i 0.370792 1.38382i
\(33\) 1.86137 5.37854i 0.324023 0.936284i
\(34\) −0.999259 0.999259i −0.171372 0.171372i
\(35\) −1.95517 1.40393i −0.330484 0.237308i
\(36\) −6.43759 + 2.57762i −1.07293 + 0.429604i
\(37\) 8.41103 2.25373i 1.38276 0.370511i 0.510640 0.859795i \(-0.329409\pi\)
0.872124 + 0.489284i \(0.162742\pi\)
\(38\) 4.24203 + 7.34742i 0.688149 + 1.19191i
\(39\) 4.63902 4.18085i 0.742837 0.669472i
\(40\) −0.294207 + 0.509582i −0.0465183 + 0.0805720i
\(41\) −2.65335 2.65335i −0.414384 0.414384i 0.468879 0.883263i \(-0.344658\pi\)
−0.883263 + 0.468879i \(0.844658\pi\)
\(42\) −6.08702 + 7.31365i −0.939247 + 1.12852i
\(43\) 7.55705i 1.15244i −0.817295 0.576220i \(-0.804527\pi\)
0.817295 0.576220i \(-0.195473\pi\)
\(44\) −7.33674 + 1.96587i −1.10605 + 0.296366i
\(45\) −2.70998 + 0.324165i −0.403980 + 0.0483236i
\(46\) −4.07476 + 15.2072i −0.600790 + 2.24218i
\(47\) 1.92787 + 7.19489i 0.281208 + 1.04948i 0.951566 + 0.307445i \(0.0994740\pi\)
−0.670358 + 0.742038i \(0.733859\pi\)
\(48\) −4.70491 3.18419i −0.679095 0.459598i
\(49\) −1.37896 + 6.86283i −0.196994 + 0.980405i
\(50\) 6.12600 6.12600i 0.866347 0.866347i
\(51\) −1.06030 + 0.515099i −0.148472 + 0.0721282i
\(52\) −8.09068 1.99988i −1.12198 0.277334i
\(53\) −8.39899 + 4.84916i −1.15369 + 0.666083i −0.949784 0.312907i \(-0.898697\pi\)
−0.203906 + 0.978990i \(0.565364\pi\)
\(54\) 0.514242 + 10.7771i 0.0699795 + 1.46658i
\(55\) −2.98949 −0.403103
\(56\) 1.70280 + 0.169381i 0.227547 + 0.0226345i
\(57\) 6.94911 1.33952i 0.920432 0.177424i
\(58\) −2.37674 8.87010i −0.312081 1.16470i
\(59\) −5.15217 1.38052i −0.670756 0.179728i −0.0926605 0.995698i \(-0.529537\pi\)
−0.578095 + 0.815969i \(0.696204\pi\)
\(60\) 2.38531 + 2.75264i 0.307942 + 0.355365i
\(61\) −4.47892 + 7.75771i −0.573466 + 0.993273i 0.422740 + 0.906251i \(0.361068\pi\)
−0.996206 + 0.0870219i \(0.972265\pi\)
\(62\) 6.68885 0.849485
\(63\) 4.10467 + 6.79350i 0.517140 + 0.855901i
\(64\) 10.2676i 1.28345i
\(65\) −2.87214 1.58448i −0.356245 0.196530i
\(66\) −0.842767 + 11.7879i −0.103737 + 1.45098i
\(67\) 8.41297 + 2.25425i 1.02781 + 0.275400i 0.733052 0.680172i \(-0.238095\pi\)
0.294756 + 0.955573i \(0.404762\pi\)
\(68\) 1.36239 + 0.786577i 0.165214 + 0.0953864i
\(69\) 10.8760 + 7.36067i 1.30932 + 0.886120i
\(70\) 4.67590 + 1.76507i 0.558877 + 0.210966i
\(71\) −5.49494 5.49494i −0.652130 0.652130i 0.301376 0.953505i \(-0.402554\pi\)
−0.953505 + 0.301376i \(0.902554\pi\)
\(72\) 1.55325 1.16288i 0.183052 0.137047i
\(73\) 1.20005 4.47865i 0.140455 0.524186i −0.859460 0.511202i \(-0.829200\pi\)
0.999916 0.0129840i \(-0.00413305\pi\)
\(74\) −15.6585 + 9.04042i −1.82026 + 1.05093i
\(75\) −3.15783 6.50023i −0.364635 0.750582i
\(76\) −6.67832 6.67832i −0.766056 0.766056i
\(77\) 3.58036 + 7.92248i 0.408020 + 0.902850i
\(78\) −7.05744 + 10.8784i −0.799097 + 1.23174i
\(79\) −0.898260 + 1.55583i −0.101062 + 0.175045i −0.912123 0.409918i \(-0.865557\pi\)
0.811060 + 0.584962i \(0.198891\pi\)
\(80\) −0.772325 + 2.88236i −0.0863485 + 0.322257i
\(81\) 8.63571 + 2.53467i 0.959523 + 0.281630i
\(82\) 6.74767 + 3.89577i 0.745156 + 0.430216i
\(83\) −7.56791 7.56791i −0.830686 0.830686i 0.156924 0.987611i \(-0.449842\pi\)
−0.987611 + 0.156924i \(0.949842\pi\)
\(84\) 4.43804 9.61802i 0.484230 1.04941i
\(85\) 0.437819 + 0.437819i 0.0474881 + 0.0474881i
\(86\) 4.06127 + 15.1569i 0.437938 + 1.63441i
\(87\) −7.64056 0.546258i −0.819154 0.0585650i
\(88\) 1.84057 1.06265i 0.196205 0.113279i
\(89\) −0.240113 0.896114i −0.0254519 0.0949879i 0.952032 0.306000i \(-0.0989907\pi\)
−0.977483 + 0.211012i \(0.932324\pi\)
\(90\) 5.26109 2.10655i 0.554567 0.222050i
\(91\) −0.759223 + 9.50913i −0.0795882 + 0.996828i
\(92\) 17.5260i 1.82722i
\(93\) 1.82475 5.27272i 0.189218 0.546756i
\(94\) −7.73329 13.3944i −0.797628 1.38153i
\(95\) −1.85862 3.21922i −0.190690 0.330285i
\(96\) 13.2650 + 4.59065i 1.35385 + 0.468532i
\(97\) −3.00938 + 3.00938i −0.305556 + 0.305556i −0.843183 0.537627i \(-0.819321\pi\)
0.537627 + 0.843183i \(0.319321\pi\)
\(98\) −0.922464 14.5056i −0.0931829 1.46529i
\(99\) 9.06228 + 3.88012i 0.910793 + 0.389967i
\(100\) −4.82214 + 8.35219i −0.482214 + 0.835219i
\(101\) −2.52077 4.36610i −0.250826 0.434444i 0.712927 0.701238i \(-0.247369\pi\)
−0.963754 + 0.266794i \(0.914036\pi\)
\(102\) 1.84979 1.60294i 0.183156 0.158714i
\(103\) −3.39027 1.95737i −0.334053 0.192866i 0.323586 0.946199i \(-0.395112\pi\)
−0.657639 + 0.753333i \(0.728445\pi\)
\(104\) 2.33154 0.0454082i 0.228627 0.00445264i
\(105\) 2.66699 3.20443i 0.260271 0.312720i
\(106\) 14.2395 14.2395i 1.38306 1.38306i
\(107\) −6.48441 3.74378i −0.626872 0.361925i 0.152668 0.988278i \(-0.451214\pi\)
−0.779540 + 0.626353i \(0.784547\pi\)
\(108\) −3.65806 11.4402i −0.351997 1.10084i
\(109\) −11.6028 3.10895i −1.11134 0.297784i −0.343968 0.938981i \(-0.611771\pi\)
−0.767376 + 0.641197i \(0.778438\pi\)
\(110\) 5.99591 1.60660i 0.571687 0.153183i
\(111\) 2.85473 + 14.8096i 0.270959 + 1.40567i
\(112\) 8.56353 1.40530i 0.809177 0.132789i
\(113\) 6.02323i 0.566618i −0.959029 0.283309i \(-0.908568\pi\)
0.959029 0.283309i \(-0.0914321\pi\)
\(114\) −13.2177 + 6.42118i −1.23795 + 0.601399i
\(115\) 1.78533 6.66294i 0.166483 0.621322i
\(116\) 5.11132 + 8.85306i 0.474574 + 0.821986i
\(117\) 6.65002 + 8.53096i 0.614794 + 0.788688i
\(118\) 11.0754 1.01958
\(119\) 0.635914 1.68462i 0.0582941 0.154429i
\(120\) −0.844036 0.571227i −0.0770496 0.0521456i
\(121\) −0.175108 0.101099i −0.0159189 0.00919081i
\(122\) 4.81407 17.9664i 0.435846 1.62660i
\(123\) 4.91177 4.25631i 0.442880 0.383778i
\(124\) −7.19239 + 1.92719i −0.645896 + 0.173067i
\(125\) −5.90057 + 5.90057i −0.527763 + 0.527763i
\(126\) −11.8835 11.4195i −1.05867 1.01733i
\(127\) 17.4134i 1.54519i −0.634899 0.772595i \(-0.718958\pi\)
0.634899 0.772595i \(-0.281042\pi\)
\(128\) −1.32294 4.93729i −0.116933 0.436399i
\(129\) 13.0559 + 0.933424i 1.14951 + 0.0821834i
\(130\) 6.61206 + 1.63439i 0.579916 + 0.143346i
\(131\) 17.6817 + 10.2085i 1.54486 + 0.891923i 0.998522 + 0.0543568i \(0.0173109\pi\)
0.546335 + 0.837567i \(0.316022\pi\)
\(132\) −2.49011 12.9181i −0.216736 1.12437i
\(133\) −6.30531 + 8.78104i −0.546740 + 0.761413i
\(134\) −18.0850 −1.56231
\(135\) −0.225312 4.72191i −0.0193918 0.406397i
\(136\) −0.425184 0.113928i −0.0364593 0.00976923i
\(137\) 2.24707 + 0.602100i 0.191980 + 0.0514409i 0.353528 0.935424i \(-0.384982\pi\)
−0.161548 + 0.986865i \(0.551649\pi\)
\(138\) −25.7693 8.91807i −2.19363 0.759156i
\(139\) 3.75347 0.318365 0.159183 0.987249i \(-0.449114\pi\)
0.159183 + 0.987249i \(0.449114\pi\)
\(140\) −5.53646 0.550721i −0.467916 0.0465445i
\(141\) −12.6683 + 2.44197i −1.06686 + 0.205651i
\(142\) 13.9740 + 8.06792i 1.17268 + 0.677045i
\(143\) 6.12259 + 10.1432i 0.511997 + 0.848220i
\(144\) 6.08227 7.73509i 0.506856 0.644591i
\(145\) 1.04135 + 3.88638i 0.0864795 + 0.322746i
\(146\) 9.62757i 0.796784i
\(147\) −11.6862 3.23002i −0.963860 0.266408i
\(148\) 14.2325 14.2325i 1.16991 1.16991i
\(149\) 18.5526 4.97114i 1.51989 0.407252i 0.600181 0.799864i \(-0.295095\pi\)
0.919704 + 0.392612i \(0.128428\pi\)
\(150\) 9.82686 + 11.3402i 0.802360 + 0.925922i
\(151\) 3.32204 12.3980i 0.270344 1.00894i −0.688554 0.725185i \(-0.741754\pi\)
0.958898 0.283752i \(-0.0915791\pi\)
\(152\) 2.28863 + 1.32134i 0.185632 + 0.107175i
\(153\) −0.758940 1.89545i −0.0613567 0.153238i
\(154\) −11.4386 13.9657i −0.921752 1.12538i
\(155\) −2.93067 −0.235397
\(156\) 4.45442 13.7308i 0.356639 1.09934i
\(157\) 6.39525 + 11.0769i 0.510397 + 0.884033i 0.999927 + 0.0120470i \(0.00383477\pi\)
−0.489531 + 0.871986i \(0.662832\pi\)
\(158\) 0.965477 3.60321i 0.0768092 0.286656i
\(159\) −7.34019 15.1094i −0.582115 1.19825i
\(160\) 7.37291i 0.582880i
\(161\) −19.7957 + 3.24854i −1.56012 + 0.256021i
\(162\) −18.6825 0.442727i −1.46783 0.0347839i
\(163\) −9.32315 + 2.49813i −0.730246 + 0.195669i −0.604739 0.796424i \(-0.706722\pi\)
−0.125507 + 0.992093i \(0.540056\pi\)
\(164\) −8.37809 2.24490i −0.654219 0.175298i
\(165\) 0.369253 5.16477i 0.0287463 0.402077i
\(166\) 19.2458 + 11.1115i 1.49376 + 0.862423i
\(167\) −11.7274 + 11.7274i −0.907490 + 0.907490i −0.996069 0.0885791i \(-0.971767\pi\)
0.0885791 + 0.996069i \(0.471767\pi\)
\(168\) −0.502955 + 2.92091i −0.0388038 + 0.225353i
\(169\) 0.506174 + 12.9901i 0.0389365 + 0.999242i
\(170\) −1.11341 0.642825i −0.0853943 0.0493024i
\(171\) 1.45588 + 12.1710i 0.111334 + 0.930741i
\(172\) −8.73402 15.1278i −0.665962 1.15348i
\(173\) −1.19647 + 2.07234i −0.0909656 + 0.157557i −0.907918 0.419149i \(-0.862329\pi\)
0.816952 + 0.576705i \(0.195662\pi\)
\(174\) 15.6179 3.01054i 1.18399 0.228229i
\(175\) 10.3276 + 3.89849i 0.780695 + 0.294698i
\(176\) 7.62126 7.62126i 0.574474 0.574474i
\(177\) 3.02142 8.73059i 0.227104 0.656231i
\(178\) 0.963170 + 1.66826i 0.0721926 + 0.125041i
\(179\) −0.596011 1.03232i −0.0445480 0.0771593i 0.842892 0.538083i \(-0.180851\pi\)
−0.887440 + 0.460924i \(0.847518\pi\)
\(180\) −5.05020 + 3.78096i −0.376420 + 0.281816i
\(181\) 18.7073i 1.39050i 0.718768 + 0.695250i \(0.244706\pi\)
−0.718768 + 0.695250i \(0.755294\pi\)
\(182\) −3.58761 19.4801i −0.265931 1.44396i
\(183\) −12.8493 8.69617i −0.949849 0.642839i
\(184\) 1.26924 + 4.73685i 0.0935693 + 0.349205i
\(185\) 6.86066 3.96100i 0.504405 0.291219i
\(186\) −0.826186 + 11.5559i −0.0605789 + 0.847322i
\(187\) −0.578820 2.16019i −0.0423275 0.157968i
\(188\) 12.1747 + 12.1747i 0.887929 + 0.887929i
\(189\) −12.2437 + 6.25229i −0.890600 + 0.454787i
\(190\) 5.45782 + 5.45782i 0.395952 + 0.395952i
\(191\) 3.67594 + 2.12230i 0.265981 + 0.153564i 0.627060 0.778971i \(-0.284258\pi\)
−0.361079 + 0.932535i \(0.617591\pi\)
\(192\) −17.7388 1.26823i −1.28019 0.0915263i
\(193\) 2.97736 11.1117i 0.214315 0.799835i −0.772091 0.635512i \(-0.780789\pi\)
0.986406 0.164324i \(-0.0525442\pi\)
\(194\) 4.41851 7.65308i 0.317230 0.549459i
\(195\) 3.09217 4.76632i 0.221435 0.341323i
\(196\) 5.17126 + 15.3318i 0.369376 + 1.09513i
\(197\) 12.9650 + 12.9650i 0.923718 + 0.923718i 0.997290 0.0735715i \(-0.0234397\pi\)
−0.0735715 + 0.997290i \(0.523440\pi\)
\(198\) −20.2611 2.91200i −1.43989 0.206947i
\(199\) 6.17909 3.56750i 0.438024 0.252893i −0.264735 0.964321i \(-0.585285\pi\)
0.702759 + 0.711428i \(0.251951\pi\)
\(200\) 0.698439 2.60661i 0.0493871 0.184315i
\(201\) −4.93368 + 14.2562i −0.347995 + 1.00555i
\(202\) 7.40222 + 7.40222i 0.520819 + 0.520819i
\(203\) 9.05214 7.41421i 0.635336 0.520375i
\(204\) −1.52720 + 2.25657i −0.106925 + 0.157991i
\(205\) −2.95645 1.70691i −0.206487 0.119216i
\(206\) 7.85166 + 2.10385i 0.547051 + 0.146582i
\(207\) −14.0600 + 17.8807i −0.977235 + 1.24279i
\(208\) 11.3615 3.28270i 0.787777 0.227614i
\(209\) 13.4264i 0.928721i
\(210\) −3.62696 + 7.86027i −0.250284 + 0.542410i
\(211\) 14.0342 0.966152 0.483076 0.875579i \(-0.339520\pi\)
0.483076 + 0.875579i \(0.339520\pi\)
\(212\) −11.2088 + 19.4142i −0.769821 + 1.33337i
\(213\) 10.1720 8.81457i 0.696974 0.603964i
\(214\) 15.0175 + 4.02392i 1.02657 + 0.275070i
\(215\) −1.77942 6.64089i −0.121355 0.452905i
\(216\) 1.81718 + 2.82709i 0.123644 + 0.192359i
\(217\) 3.50992 + 7.76660i 0.238269 + 0.527231i
\(218\) 24.9420 1.68929
\(219\) 7.58927 + 2.62645i 0.512836 + 0.177479i
\(220\) −5.98439 + 3.45509i −0.403467 + 0.232942i
\(221\) 0.588834 2.38217i 0.0396093 0.160242i
\(222\) −13.6845 28.1689i −0.918445 1.89057i
\(223\) 7.57202 7.57202i 0.507060 0.507060i −0.406563 0.913623i \(-0.633273\pi\)
0.913623 + 0.406563i \(0.133273\pi\)
\(224\) −19.5390 + 8.83016i −1.30551 + 0.589990i
\(225\) 11.6201 4.65271i 0.774674 0.310181i
\(226\) 3.23697 + 12.0805i 0.215320 + 0.803586i
\(227\) −6.87881 + 25.6721i −0.456563 + 1.70392i 0.226889 + 0.973921i \(0.427145\pi\)
−0.683452 + 0.729996i \(0.739522\pi\)
\(228\) 12.3626 10.7129i 0.818735 0.709476i
\(229\) −22.1062 + 5.92334i −1.46082 + 0.391425i −0.899773 0.436359i \(-0.856268\pi\)
−0.561047 + 0.827784i \(0.689601\pi\)
\(230\) 14.3230i 0.944434i
\(231\) −14.1294 + 5.20702i −0.929648 + 0.342597i
\(232\) −2.02260 2.02260i −0.132790 0.132790i
\(233\) 12.6461 21.9038i 0.828476 1.43496i −0.0707572 0.997494i \(-0.522542\pi\)
0.899233 0.437469i \(-0.144125\pi\)
\(234\) −17.9223 13.5364i −1.17162 0.884901i
\(235\) 3.38829 + 5.86869i 0.221028 + 0.382831i
\(236\) −11.9092 + 3.19106i −0.775222 + 0.207720i
\(237\) −2.57697 1.74404i −0.167392 0.113288i
\(238\) −0.370087 + 3.72052i −0.0239892 + 0.241166i
\(239\) −5.85270 5.85270i −0.378580 0.378580i 0.492010 0.870590i \(-0.336262\pi\)
−0.870590 + 0.492010i \(0.836262\pi\)
\(240\) −4.88428 1.69032i −0.315279 0.109110i
\(241\) 0.211580 0.789629i 0.0136291 0.0508645i −0.958776 0.284162i \(-0.908285\pi\)
0.972406 + 0.233297i \(0.0749515\pi\)
\(242\) 0.405540 + 0.108664i 0.0260691 + 0.00698519i
\(243\) −5.44566 + 14.6063i −0.349339 + 0.936996i
\(244\) 20.7059i 1.32556i
\(245\) 0.404171 + 6.35552i 0.0258216 + 0.406040i
\(246\) −7.56395 + 11.1764i −0.482260 + 0.712579i
\(247\) −7.11619 + 12.8993i −0.452792 + 0.820764i
\(248\) 1.80436 1.04175i 0.114577 0.0661509i
\(249\) 14.0094 12.1399i 0.887810 0.769333i
\(250\) 8.66349 15.0056i 0.547927 0.949038i
\(251\) −6.75839 −0.426586 −0.213293 0.976988i \(-0.568419\pi\)
−0.213293 + 0.976988i \(0.568419\pi\)
\(252\) 16.0683 + 8.85533i 1.01221 + 0.557833i
\(253\) −17.6175 + 17.6175i −1.10760 + 1.10760i
\(254\) 9.35823 + 34.9254i 0.587187 + 2.19141i
\(255\) −0.810471 + 0.702315i −0.0507537 + 0.0439807i
\(256\) −4.96088 8.59250i −0.310055 0.537031i
\(257\) 5.96220 10.3268i 0.371912 0.644170i −0.617948 0.786219i \(-0.712036\pi\)
0.989860 + 0.142049i \(0.0453691\pi\)
\(258\) −26.6873 + 5.14429i −1.66148 + 0.320270i
\(259\) −18.7137 13.4376i −1.16281 0.834971i
\(260\) −7.58072 + 0.147639i −0.470136 + 0.00915620i
\(261\) 1.88748 13.1327i 0.116832 0.812892i
\(262\) −40.9497 10.9724i −2.52988 0.677879i
\(263\) 10.4572 6.03749i 0.644821 0.372288i −0.141648 0.989917i \(-0.545240\pi\)
0.786469 + 0.617629i \(0.211907\pi\)
\(264\) 1.60854 + 3.31110i 0.0989989 + 0.203784i
\(265\) −6.23894 + 6.23894i −0.383255 + 0.383255i
\(266\) 7.92726 21.0003i 0.486051 1.28761i
\(267\) 1.57782 0.304144i 0.0965611 0.0186133i
\(268\) 19.4465 5.21067i 1.18788 0.318292i
\(269\) 21.2433 12.2648i 1.29523 0.747801i 0.315653 0.948875i \(-0.397776\pi\)
0.979576 + 0.201074i \(0.0644431\pi\)
\(270\) 2.98952 + 9.34946i 0.181937 + 0.568990i
\(271\) −27.5042 + 7.36973i −1.67076 + 0.447679i −0.965316 0.261085i \(-0.915920\pi\)
−0.705445 + 0.708765i \(0.749253\pi\)
\(272\) −2.23230 −0.135353
\(273\) −16.3346 2.48620i −0.988614 0.150472i
\(274\) −4.83043 −0.291817
\(275\) 13.2431 3.54848i 0.798589 0.213981i
\(276\) 30.2787 + 2.16476i 1.82256 + 0.130303i
\(277\) 13.5397 7.81714i 0.813521 0.469686i −0.0346563 0.999399i \(-0.511034\pi\)
0.848177 + 0.529713i \(0.177700\pi\)
\(278\) −7.52819 + 2.01717i −0.451511 + 0.120982i
\(279\) 8.88398 + 3.80378i 0.531870 + 0.227726i
\(280\) 1.53625 0.252104i 0.0918086 0.0150661i
\(281\) 9.25798 9.25798i 0.552285 0.552285i −0.374815 0.927100i \(-0.622294\pi\)
0.927100 + 0.374815i \(0.122294\pi\)
\(282\) 24.0960 11.7059i 1.43489 0.697076i
\(283\) −10.9844 + 6.34183i −0.652954 + 0.376983i −0.789587 0.613639i \(-0.789705\pi\)
0.136633 + 0.990622i \(0.456372\pi\)
\(284\) −17.3506 4.64907i −1.02957 0.275871i
\(285\) 5.79123 2.81340i 0.343043 0.166651i
\(286\) −17.7310 17.0535i −1.04845 1.00840i
\(287\) −0.982699 + 9.87918i −0.0580069 + 0.583150i
\(288\) −9.56945 + 22.3501i −0.563885 + 1.31699i
\(289\) 8.26841 14.3213i 0.486377 0.842429i
\(290\) −4.17719 7.23511i −0.245293 0.424860i
\(291\) −4.82742 5.57084i −0.282988 0.326568i
\(292\) −2.77390 10.3523i −0.162330 0.605825i
\(293\) 18.2773 18.2773i 1.06777 1.06777i 0.0702426 0.997530i \(-0.477623\pi\)
0.997530 0.0702426i \(-0.0223773\pi\)
\(294\) 25.1744 + 0.197998i 1.46820 + 0.0115475i
\(295\) −4.85262 −0.282531
\(296\) −2.81598 + 4.87742i −0.163675 + 0.283494i
\(297\) −7.82280 + 15.1771i −0.453925 + 0.880665i
\(298\) −34.5386 + 19.9409i −2.00077 + 1.15514i
\(299\) −26.2635 + 7.58839i −1.51886 + 0.438848i
\(300\) −13.8340 9.36256i −0.798705 0.540548i
\(301\) −15.4679 + 12.6691i −0.891557 + 0.730235i
\(302\) 26.6515i 1.53362i
\(303\) 7.85442 3.81570i 0.451225 0.219206i
\(304\) 12.9452 + 3.46865i 0.742458 + 0.198941i
\(305\) −2.10925 + 7.87184i −0.120776 + 0.450740i
\(306\) 2.54082 + 3.39376i 0.145249 + 0.194008i
\(307\) −7.49447 7.49447i −0.427732 0.427732i 0.460123 0.887855i \(-0.347805\pi\)
−0.887855 + 0.460123i \(0.847805\pi\)
\(308\) 16.3235 + 11.7213i 0.930120 + 0.667882i
\(309\) 3.80040 5.61540i 0.216197 0.319449i
\(310\) 5.87794 1.57499i 0.333844 0.0894533i
\(311\) 9.06775 + 15.7058i 0.514185 + 0.890594i 0.999865 + 0.0164574i \(0.00523878\pi\)
−0.485680 + 0.874137i \(0.661428\pi\)
\(312\) −0.209536 + 4.03368i −0.0118626 + 0.228362i
\(313\) 10.6933 18.5213i 0.604419 1.04688i −0.387724 0.921776i \(-0.626739\pi\)
0.992143 0.125109i \(-0.0399282\pi\)
\(314\) −18.7796 18.7796i −1.05979 1.05979i
\(315\) 5.20668 + 5.00340i 0.293363 + 0.281909i
\(316\) 4.15263i 0.233604i
\(317\) −14.6229 + 3.91818i −0.821302 + 0.220067i −0.644915 0.764254i \(-0.723107\pi\)
−0.176386 + 0.984321i \(0.556441\pi\)
\(318\) 22.8419 + 26.3596i 1.28091 + 1.47817i
\(319\) 3.76128 14.0373i 0.210591 0.785937i
\(320\) 2.41766 + 9.02285i 0.135152 + 0.504393i
\(321\) 7.26884 10.7403i 0.405707 0.599466i
\(322\) 37.9576 17.1540i 2.11530 0.955954i
\(323\) 1.96632 1.96632i 0.109409 0.109409i
\(324\) 20.2164 4.90675i 1.12314 0.272597i
\(325\) 14.6040 + 3.60987i 0.810084 + 0.200240i
\(326\) 17.3565 10.0208i 0.961290 0.555001i
\(327\) 6.80430 19.6614i 0.376278 1.08728i
\(328\) 2.42697 0.134007
\(329\) 11.4947 16.0080i 0.633722 0.882547i
\(330\) 2.03503 + 10.5572i 0.112025 + 0.581156i
\(331\) −4.78001 17.8392i −0.262733 0.980533i −0.963623 0.267264i \(-0.913880\pi\)
0.700890 0.713269i \(-0.252786\pi\)
\(332\) −23.8961 6.40293i −1.31147 0.351406i
\(333\) −25.9383 + 3.10271i −1.42141 + 0.170027i
\(334\) 17.2186 29.8235i 0.942162 1.63187i
\(335\) 7.92384 0.432925
\(336\) 1.37012 + 14.9683i 0.0747463 + 0.816586i
\(337\) 5.58361i 0.304159i −0.988368 0.152079i \(-0.951403\pi\)
0.988368 0.152079i \(-0.0485969\pi\)
\(338\) −7.99631 25.7818i −0.434942 1.40234i
\(339\) 10.4060 + 0.743971i 0.565175 + 0.0404069i
\(340\) 1.38243 + 0.370422i 0.0749730 + 0.0200890i
\(341\) 9.16719 + 5.29268i 0.496431 + 0.286615i
\(342\) −9.46089 23.6285i −0.511587 1.27768i
\(343\) 16.3588 8.68278i 0.883290 0.468826i
\(344\) 3.45614 + 3.45614i 0.186343 + 0.186343i
\(345\) 11.2906 + 3.90739i 0.607868 + 0.210367i
\(346\) 1.28600 4.79940i 0.0691356 0.258018i
\(347\) 0.567305 0.327534i 0.0304545 0.0175829i −0.484695 0.874683i \(-0.661070\pi\)
0.515150 + 0.857100i \(0.327736\pi\)
\(348\) −15.9262 + 7.73702i −0.853737 + 0.414748i
\(349\) 15.6699 + 15.6699i 0.838793 + 0.838793i 0.988700 0.149907i \(-0.0478976\pi\)
−0.149907 + 0.988700i \(0.547898\pi\)
\(350\) −22.8088 2.26883i −1.21918 0.121274i
\(351\) −15.5598 + 10.4351i −0.830522 + 0.556986i
\(352\) −13.3152 + 23.0626i −0.709702 + 1.22924i
\(353\) 4.10916 15.3356i 0.218709 0.816232i −0.766119 0.642699i \(-0.777815\pi\)
0.984828 0.173534i \(-0.0555185\pi\)
\(354\) −1.36800 + 19.1343i −0.0727085 + 1.01698i
\(355\) −6.12264 3.53491i −0.324956 0.187613i
\(356\) −1.51634 1.51634i −0.0803657 0.0803657i
\(357\) 2.83187 + 1.30671i 0.149879 + 0.0691584i
\(358\) 1.75018 + 1.75018i 0.0924999 + 0.0924999i
\(359\) −3.28654 12.2655i −0.173457 0.647350i −0.996809 0.0798194i \(-0.974566\pi\)
0.823352 0.567530i \(-0.192101\pi\)
\(360\) 1.09113 1.38763i 0.0575075 0.0731348i
\(361\) 1.99636 1.15260i 0.105071 0.0606630i
\(362\) −10.0536 37.5204i −0.528403 1.97203i
\(363\) 0.196291 0.290037i 0.0103026 0.0152230i
\(364\) 9.47030 + 19.9129i 0.496379 + 1.04372i
\(365\) 4.21826i 0.220794i
\(366\) 30.4448 + 10.5361i 1.59138 + 0.550733i
\(367\) −11.5525 20.0095i −0.603036 1.04449i −0.992359 0.123387i \(-0.960624\pi\)
0.389323 0.921101i \(-0.372709\pi\)
\(368\) 12.4347 + 21.5376i 0.648205 + 1.12272i
\(369\) 6.74668 + 9.01151i 0.351218 + 0.469120i
\(370\) −11.6314 + 11.6314i −0.604690 + 0.604690i
\(371\) 24.0059 + 9.06181i 1.24633 + 0.470466i
\(372\) −2.44112 12.6639i −0.126566 0.656593i
\(373\) −18.0926 + 31.3373i −0.936799 + 1.62258i −0.165406 + 0.986226i \(0.552893\pi\)
−0.771393 + 0.636359i \(0.780440\pi\)
\(374\) 2.32183 + 4.02153i 0.120059 + 0.207948i
\(375\) −9.46525 10.9229i −0.488784 0.564056i
\(376\) −4.17220 2.40882i −0.215165 0.124225i
\(377\) 11.0536 11.4927i 0.569290 0.591905i
\(378\) 21.1967 19.1199i 1.09024 0.983423i
\(379\) −1.09448 + 1.09448i −0.0562199 + 0.0562199i −0.734658 0.678438i \(-0.762657\pi\)
0.678438 + 0.734658i \(0.262657\pi\)
\(380\) −7.44119 4.29617i −0.381725 0.220389i
\(381\) 30.0841 + 2.15085i 1.54126 + 0.110191i
\(382\) −8.51323 2.28111i −0.435575 0.116712i
\(383\) −29.7332 + 7.96700i −1.51930 + 0.407095i −0.919511 0.393065i \(-0.871415\pi\)
−0.599787 + 0.800160i \(0.704748\pi\)
\(384\) 8.69326 1.67573i 0.443626 0.0855143i
\(385\) 5.01177 + 6.11896i 0.255423 + 0.311851i
\(386\) 23.8863i 1.21578i
\(387\) −3.22524 + 22.4406i −0.163948 + 1.14072i
\(388\) −2.54612 + 9.50227i −0.129260 + 0.482404i
\(389\) −8.71387 15.0929i −0.441810 0.765238i 0.556013 0.831173i \(-0.312330\pi\)
−0.997824 + 0.0659351i \(0.978997\pi\)
\(390\) −3.64035 + 11.2214i −0.184336 + 0.568217i
\(391\) 5.16026 0.260966
\(392\) −2.50799 3.76930i −0.126673 0.190378i
\(393\) −19.8207 + 29.2867i −0.999820 + 1.47732i
\(394\) −32.9710 19.0358i −1.66105 0.959010i
\(395\) −0.423017 + 1.57872i −0.0212843 + 0.0794341i
\(396\) 22.6254 2.70642i 1.13697 0.136003i
\(397\) 9.62854 2.57996i 0.483242 0.129484i −0.00896955 0.999960i \(-0.502855\pi\)
0.492212 + 0.870475i \(0.336188\pi\)
\(398\) −10.4759 + 10.4759i −0.525111 + 0.525111i
\(399\) −14.3917 11.9779i −0.720485 0.599646i
\(400\) 13.6852i 0.684262i
\(401\) 1.03957 + 3.87974i 0.0519139 + 0.193745i 0.987013 0.160642i \(-0.0513563\pi\)
−0.935099 + 0.354387i \(0.884690\pi\)
\(402\) 2.23381 31.2444i 0.111412 1.55833i
\(403\) 6.00213 + 9.94367i 0.298987 + 0.495330i
\(404\) −10.0922 5.82673i −0.502106 0.289891i
\(405\) 8.18560 + 0.193978i 0.406746 + 0.00963883i
\(406\) −14.1710 + 19.7351i −0.703296 + 0.979438i
\(407\) −28.6136 −1.41832
\(408\) 0.249344 0.720494i 0.0123444 0.0356698i
\(409\) 9.69713 + 2.59834i 0.479492 + 0.128480i 0.490466 0.871460i \(-0.336826\pi\)
−0.0109739 + 0.999940i \(0.503493\pi\)
\(410\) 6.84695 + 1.83463i 0.338147 + 0.0906061i
\(411\) −1.31776 + 3.80776i −0.0650005 + 0.187823i
\(412\) −9.04889 −0.445807
\(413\) 5.81173 + 12.8600i 0.285977 + 0.632798i
\(414\) 18.5902 43.4186i 0.913657 2.13391i
\(415\) −8.43240 4.86845i −0.413930 0.238983i
\(416\) −25.0160 + 15.1000i −1.22651 + 0.740339i
\(417\) −0.463617 + 6.48465i −0.0227034 + 0.317555i
\(418\) −7.21553 26.9287i −0.352923 1.31713i
\(419\) 36.2129i 1.76912i −0.466429 0.884559i \(-0.654460\pi\)
0.466429 0.884559i \(-0.345540\pi\)
\(420\) 1.63530 9.49699i 0.0797942 0.463406i
\(421\) 9.51902 9.51902i 0.463929 0.463929i −0.436012 0.899941i \(-0.643609\pi\)
0.899941 + 0.436012i \(0.143609\pi\)
\(422\) −28.1478 + 7.54217i −1.37021 + 0.367147i
\(423\) −2.65409 22.1879i −0.129046 1.07881i
\(424\) 1.62348 6.05890i 0.0788431 0.294246i
\(425\) −2.45917 1.41980i −0.119287 0.0688705i
\(426\) −15.6645 + 23.1456i −0.758948 + 1.12141i
\(427\) 23.3874 3.83795i 1.13179 0.185731i
\(428\) −17.3074 −0.836584
\(429\) −18.2801 + 9.32478i −0.882573 + 0.450205i
\(430\) 7.13782 + 12.3631i 0.344216 + 0.596200i
\(431\) −1.73246 + 6.46564i −0.0834498 + 0.311439i −0.995016 0.0997141i \(-0.968207\pi\)
0.911566 + 0.411153i \(0.134874\pi\)
\(432\) 12.6122 + 11.4634i 0.606805 + 0.551533i
\(433\) 23.9119i 1.14913i 0.818459 + 0.574565i \(0.194829\pi\)
−0.818459 + 0.574565i \(0.805171\pi\)
\(434\) −11.2136 13.6909i −0.538270 0.657183i
\(435\) −6.84289 + 1.31905i −0.328091 + 0.0632435i
\(436\) −26.8197 + 7.18631i −1.28443 + 0.344162i
\(437\) −29.9245 8.01824i −1.43148 0.383564i
\(438\) −16.6330 1.18917i −0.794755 0.0568207i
\(439\) 25.4558 + 14.6969i 1.21494 + 0.701445i 0.963831 0.266514i \(-0.0858717\pi\)
0.251108 + 0.967959i \(0.419205\pi\)
\(440\) 1.36721 1.36721i 0.0651793 0.0651793i
\(441\) 7.02376 19.7906i 0.334465 0.942408i
\(442\) 0.0992141 + 5.09428i 0.00471914 + 0.242310i
\(443\) 29.5574 + 17.0649i 1.40431 + 0.810780i 0.994832 0.101539i \(-0.0323765\pi\)
0.409481 + 0.912319i \(0.365710\pi\)
\(444\) 22.8307 + 26.3466i 1.08350 + 1.25036i
\(445\) −0.422007 0.730937i −0.0200050 0.0346497i
\(446\) −11.1176 + 19.2562i −0.526432 + 0.911808i
\(447\) 6.29680 + 32.6662i 0.297828 + 1.54506i
\(448\) 21.0160 17.2133i 0.992913 0.813251i
\(449\) −11.6015 + 11.6015i −0.547507 + 0.547507i −0.925719 0.378212i \(-0.876539\pi\)
0.378212 + 0.925719i \(0.376539\pi\)
\(450\) −20.8056 + 15.5766i −0.980783 + 0.734287i
\(451\) 6.16521 + 10.6785i 0.290308 + 0.502829i
\(452\) −6.96131 12.0573i −0.327432 0.567130i
\(453\) 21.0090 + 7.27066i 0.987089 + 0.341605i
\(454\) 55.1863i 2.59002i
\(455\) 1.57189 + 8.53508i 0.0736911 + 0.400131i
\(456\) −2.56549 + 3.79072i −0.120140 + 0.177517i
\(457\) −0.339203 1.26592i −0.0158672 0.0592173i 0.957538 0.288306i \(-0.0930921\pi\)
−0.973406 + 0.229089i \(0.926425\pi\)
\(458\) 41.1542 23.7604i 1.92301 1.11025i
\(459\) 3.36839 1.07706i 0.157223 0.0502727i
\(460\) −4.12676 15.4013i −0.192411 0.718089i
\(461\) −7.48286 7.48286i −0.348512 0.348512i 0.511043 0.859555i \(-0.329259\pi\)
−0.859555 + 0.511043i \(0.829259\pi\)
\(462\) 25.5405 18.0369i 1.18825 0.839152i
\(463\) 6.73640 + 6.73640i 0.313067 + 0.313067i 0.846097 0.533030i \(-0.178947\pi\)
−0.533030 + 0.846097i \(0.678947\pi\)
\(464\) −12.5625 7.25296i −0.583199 0.336710i
\(465\) 0.361988 5.06315i 0.0167868 0.234798i
\(466\) −13.5925 + 50.7277i −0.629658 + 2.34992i
\(467\) −6.35406 + 11.0056i −0.294031 + 0.509276i −0.974759 0.223260i \(-0.928330\pi\)
0.680728 + 0.732536i \(0.261663\pi\)
\(468\) 23.1717 + 9.39162i 1.07111 + 0.434128i
\(469\) −9.48997 20.9990i −0.438206 0.969645i
\(470\) −9.94967 9.94967i −0.458944 0.458944i
\(471\) −19.9268 + 9.68052i −0.918180 + 0.446055i
\(472\) 2.98766 1.72493i 0.137518 0.0793962i
\(473\) −6.42712 + 23.9863i −0.295519 + 1.10289i
\(474\) 6.10580 + 2.11305i 0.280449 + 0.0970558i
\(475\) 12.0546 + 12.0546i 0.553104 + 0.553104i
\(476\) −0.674012 4.10724i −0.0308933 0.188255i
\(477\) 27.0102 10.8149i 1.23671 0.495182i
\(478\) 14.8839 + 8.59321i 0.680772 + 0.393044i
\(479\) −33.7084 9.03215i −1.54018 0.412689i −0.613854 0.789419i \(-0.710382\pi\)
−0.926323 + 0.376730i \(0.877048\pi\)
\(480\) 12.7377 + 0.910679i 0.581396 + 0.0415666i
\(481\) −27.4904 15.1657i −1.25345 0.691495i
\(482\) 1.69743i 0.0773160i
\(483\) −3.16721 34.6011i −0.144113 1.57440i
\(484\) −0.467378 −0.0212444
\(485\) −1.93594 + 3.35314i −0.0879065 + 0.152258i
\(486\) 3.07247 32.2219i 0.139370 1.46162i
\(487\) −0.307401 0.0823680i −0.0139297 0.00373245i 0.251847 0.967767i \(-0.418962\pi\)
−0.265777 + 0.964034i \(0.585629\pi\)
\(488\) −1.49952 5.59629i −0.0678802 0.253332i
\(489\) −3.16431 16.4156i −0.143095 0.742340i
\(490\) −4.22618 12.5298i −0.190920 0.566039i
\(491\) 35.3105 1.59354 0.796771 0.604281i \(-0.206540\pi\)
0.796771 + 0.604281i \(0.206540\pi\)
\(492\) 4.91322 14.1971i 0.221505 0.640053i
\(493\) −2.60664 + 1.50495i −0.117397 + 0.0677794i
\(494\) 7.34036 29.6960i 0.330259 1.33609i
\(495\) 8.87726 + 1.27587i 0.399003 + 0.0573462i
\(496\) 7.47131 7.47131i 0.335472 0.335472i
\(497\) −2.03511 + 20.4592i −0.0912874 + 0.917721i
\(498\) −21.5739 + 31.8773i −0.966752 + 1.42846i
\(499\) 4.43716 + 16.5597i 0.198635 + 0.741315i 0.991296 + 0.131653i \(0.0420283\pi\)
−0.792661 + 0.609662i \(0.791305\pi\)
\(500\) −4.99226 + 18.6314i −0.223261 + 0.833220i
\(501\) −18.8121 21.7092i −0.840464 0.969895i
\(502\) 13.5550 3.63206i 0.604991 0.162107i
\(503\) 10.3659i 0.462194i −0.972931 0.231097i \(-0.925769\pi\)
0.972931 0.231097i \(-0.0742314\pi\)
\(504\) −4.98417 1.22971i −0.222012 0.0547755i
\(505\) −3.24323 3.24323i −0.144322 0.144322i
\(506\) 25.8668 44.8027i 1.14992 1.99172i
\(507\) −22.5048 0.730015i −0.999474 0.0324211i
\(508\) −20.1254 34.8583i −0.892922 1.54659i
\(509\) −0.550395 + 0.147478i −0.0243958 + 0.00653684i −0.270996 0.962580i \(-0.587353\pi\)
0.246601 + 0.969117i \(0.420686\pi\)
\(510\) 1.24810 1.84417i 0.0552666 0.0816610i
\(511\) −11.1788 + 5.05199i −0.494523 + 0.223487i
\(512\) 21.7963 + 21.7963i 0.963268 + 0.963268i
\(513\) −21.2070 + 1.01192i −0.936311 + 0.0446772i
\(514\) −6.40835 + 23.9163i −0.282660 + 1.05490i
\(515\) −3.44015 0.921786i −0.151591 0.0406187i
\(516\) 27.2141 13.2207i 1.19804 0.582009i
\(517\) 24.4764i 1.07647i
\(518\) 44.7550 + 16.8942i 1.96642 + 0.742288i
\(519\) −3.43247 2.32303i −0.150669 0.101970i
\(520\) 2.03819 0.588899i 0.0893805 0.0258249i
\(521\) 1.85185 1.06917i 0.0811311 0.0468411i −0.458886 0.888495i \(-0.651751\pi\)
0.540017 + 0.841654i \(0.318418\pi\)
\(522\) 3.27206 + 27.3540i 0.143214 + 1.19725i
\(523\) 19.6304 34.0009i 0.858379 1.48676i −0.0150960 0.999886i \(-0.504805\pi\)
0.873475 0.486869i \(-0.161861\pi\)
\(524\) 47.1938 2.06167
\(525\) −8.01083 + 17.3609i −0.349621 + 0.757692i
\(526\) −17.7290 + 17.7290i −0.773022 + 0.773022i
\(527\) −0.567432 2.11768i −0.0247177 0.0922478i
\(528\) 12.2254 + 14.1082i 0.532044 + 0.613979i
\(529\) −17.2445 29.8683i −0.749760 1.29862i
\(530\) 9.16030 15.8661i 0.397898 0.689180i
\(531\) 14.7101 + 6.29831i 0.638365 + 0.273323i
\(532\) −2.47339 + 24.8653i −0.107235 + 1.07805i
\(533\) 0.263445 + 13.5269i 0.0114111 + 0.585916i
\(534\) −3.00112 + 1.45795i −0.129871 + 0.0630918i
\(535\) −6.57981 1.76306i −0.284470 0.0762235i
\(536\) −4.87855 + 2.81663i −0.210721 + 0.121660i
\(537\) 1.85710 0.902184i 0.0801397 0.0389321i
\(538\) −36.0156 + 36.0156i −1.55274 + 1.55274i
\(539\) 10.2136 20.6101i 0.439929 0.887739i
\(540\) −5.90835 9.19195i −0.254255 0.395559i
\(541\) −1.26084 + 0.337841i −0.0542078 + 0.0145249i −0.285821 0.958283i \(-0.592266\pi\)
0.231613 + 0.972808i \(0.425600\pi\)
\(542\) 51.2035 29.5623i 2.19938 1.26981i
\(543\) −32.3194 2.31066i −1.38696 0.0991600i
\(544\) 5.32761 1.42753i 0.228420 0.0612048i
\(545\) −10.9282 −0.468112
\(546\) 34.0978 3.79197i 1.45925 0.162282i
\(547\) 13.9302 0.595611 0.297805 0.954627i \(-0.403745\pi\)
0.297805 + 0.954627i \(0.403745\pi\)
\(548\) 5.19407 1.39175i 0.221880 0.0594525i
\(549\) 16.6110 21.1249i 0.708939 0.901588i
\(550\) −24.6542 + 14.2341i −1.05126 + 0.606943i
\(551\) 17.4544 4.67690i 0.743584 0.199243i
\(552\) −8.34035 + 1.60770i −0.354989 + 0.0684284i
\(553\) 4.69041 0.769713i 0.199456 0.0327315i
\(554\) −22.9550 + 22.9550i −0.975263 + 0.975263i
\(555\) 5.99578 + 12.3420i 0.254507 + 0.523889i
\(556\) 7.51373 4.33805i 0.318653 0.183974i
\(557\) 28.1486 + 7.54240i 1.19269 + 0.319582i 0.799950 0.600066i \(-0.204859\pi\)
0.392744 + 0.919648i \(0.371526\pi\)
\(558\) −19.8625 2.85471i −0.840845 0.120849i
\(559\) −18.8880 + 19.6383i −0.798876 + 0.830611i
\(560\) 7.19444 3.25134i 0.304021 0.137394i
\(561\) 3.80352 0.733174i 0.160585 0.0309546i
\(562\) −13.5930 + 23.5437i −0.573386 + 0.993133i
\(563\) −10.8956 18.8718i −0.459196 0.795352i 0.539722 0.841843i \(-0.318529\pi\)
−0.998919 + 0.0464916i \(0.985196\pi\)
\(564\) −22.5372 + 19.5297i −0.948988 + 0.822348i
\(565\) −1.41826 5.29301i −0.0596666 0.222679i
\(566\) 18.6227 18.6227i 0.782772 0.782772i
\(567\) −9.28941 21.9250i −0.390118 0.920765i
\(568\) 5.02611 0.210891
\(569\) −15.5147 + 26.8723i −0.650411 + 1.12654i 0.332613 + 0.943063i \(0.392070\pi\)
−0.983023 + 0.183481i \(0.941264\pi\)
\(570\) −10.1033 + 8.75502i −0.423180 + 0.366707i
\(571\) 17.0300 9.83228i 0.712684 0.411468i −0.0993701 0.995051i \(-0.531683\pi\)
0.812054 + 0.583582i \(0.198349\pi\)
\(572\) 23.9792 + 13.2287i 1.00262 + 0.553118i
\(573\) −4.12062 + 6.08856i −0.172141 + 0.254353i
\(574\) −3.33826 20.3424i −0.139336 0.849075i
\(575\) 31.6352i 1.31928i
\(576\) 4.38208 30.4896i 0.182587 1.27040i
\(577\) −26.4164 7.07826i −1.09973 0.294672i −0.337075 0.941478i \(-0.609438\pi\)
−0.762655 + 0.646806i \(0.776104\pi\)
\(578\) −8.88713 + 33.1672i −0.369656 + 1.37957i
\(579\) 18.8292 + 6.51629i 0.782516 + 0.270808i
\(580\) 6.57624 + 6.57624i 0.273064 + 0.273064i
\(581\) −2.80286 + 28.1775i −0.116282 + 1.16900i
\(582\) 12.6760 + 8.57888i 0.525437 + 0.355606i
\(583\) 30.7828 8.24822i 1.27489 0.341606i
\(584\) 1.49943 + 2.59710i 0.0620470 + 0.107469i
\(585\) 7.85255 + 5.93088i 0.324663 + 0.245212i
\(586\) −26.8356 + 46.4806i −1.10857 + 1.92010i
\(587\) 18.3467 + 18.3467i 0.757250 + 0.757250i 0.975821 0.218571i \(-0.0701395\pi\)
−0.218571 + 0.975821i \(0.570139\pi\)
\(588\) −27.1266 + 7.04035i −1.11868 + 0.290339i
\(589\) 13.1622i 0.542339i
\(590\) 9.73271 2.60787i 0.400689 0.107364i
\(591\) −24.0003 + 20.7975i −0.987239 + 0.855494i
\(592\) −7.39223 + 27.5882i −0.303819 + 1.13387i
\(593\) 4.88293 + 18.2233i 0.200518 + 0.748343i 0.990769 + 0.135560i \(0.0432834\pi\)
−0.790251 + 0.612783i \(0.790050\pi\)
\(594\) 7.53347 34.6442i 0.309102 1.42147i
\(595\) 0.162151 1.63012i 0.00664755 0.0668285i
\(596\) 31.3933 31.3933i 1.28592 1.28592i
\(597\) 5.40013 + 11.1159i 0.221013 + 0.454943i
\(598\) 48.5976 29.3341i 1.98730 1.19956i
\(599\) −34.2888 + 19.7966i −1.40100 + 0.808869i −0.994496 0.104779i \(-0.966586\pi\)
−0.406506 + 0.913648i \(0.633253\pi\)
\(600\) 4.41702 + 1.52861i 0.180324 + 0.0624053i
\(601\) −23.9442 −0.976706 −0.488353 0.872646i \(-0.662402\pi\)
−0.488353 + 0.872646i \(0.662402\pi\)
\(602\) 24.2149 33.7226i 0.986924 1.37443i
\(603\) −24.0201 10.2845i −0.978176 0.418817i
\(604\) −7.67885 28.6579i −0.312448 1.16607i
\(605\) −0.177685 0.0476105i −0.00722391 0.00193564i
\(606\) −13.7027 + 11.8741i −0.556633 + 0.482352i
\(607\) −8.64136 + 14.9673i −0.350742 + 0.607503i −0.986380 0.164484i \(-0.947404\pi\)
0.635638 + 0.771988i \(0.280737\pi\)
\(608\) −33.1131 −1.34291
\(609\) 11.6910 + 16.5546i 0.473743 + 0.670828i
\(610\) 16.9218i 0.685143i
\(611\) 12.9729 23.5156i 0.524827 0.951340i
\(612\) −3.70990 2.91718i −0.149964 0.117920i
\(613\) −13.2477 3.54970i −0.535068 0.143371i −0.0188402 0.999823i \(-0.505997\pi\)
−0.516227 + 0.856452i \(0.672664\pi\)
\(614\) 19.0590 + 11.0037i 0.769159 + 0.444074i
\(615\) 3.31409 4.89685i 0.133637 0.197460i
\(616\) −5.26070 1.98582i −0.211960 0.0800110i
\(617\) −15.5706 15.5706i −0.626851 0.626851i 0.320424 0.947274i \(-0.396175\pi\)
−0.947274 + 0.320424i \(0.896175\pi\)
\(618\) −4.60450 + 13.3050i −0.185220 + 0.535205i
\(619\) −2.23915 + 8.35661i −0.0899989 + 0.335881i −0.996214 0.0869368i \(-0.972292\pi\)
0.906215 + 0.422817i \(0.138959\pi\)
\(620\) −5.86664 + 3.38711i −0.235610 + 0.136030i
\(621\) −29.1547 26.4991i −1.16994 1.06337i
\(622\) −26.6274 26.6274i −1.06766 1.06766i
\(623\) −1.43165 + 1.99377i −0.0573577 + 0.0798786i
\(624\) 4.26799 + 20.0340i 0.170857 + 0.802003i
\(625\) 6.63496 11.4921i 0.265399 0.459684i
\(626\) −11.4934 + 42.8941i −0.459371 + 1.71439i
\(627\) −23.1959 1.65838i −0.926356 0.0662294i
\(628\) 25.6041 + 14.7825i 1.02172 + 0.589888i
\(629\) 4.19054 + 4.19054i 0.167088 + 0.167088i
\(630\) −13.1317 7.23696i −0.523181 0.288327i
\(631\) −13.9374 13.9374i −0.554839 0.554839i 0.372995 0.927833i \(-0.378331\pi\)
−0.927833 + 0.372995i \(0.878331\pi\)
\(632\) −0.300734 1.12235i −0.0119625 0.0446448i
\(633\) −1.73346 + 24.2460i −0.0688987 + 0.963692i
\(634\) 27.2228 15.7171i 1.08116 0.624205i
\(635\) −4.10024 15.3023i −0.162713 0.607254i
\(636\) −32.1562 21.7627i −1.27508 0.862947i
\(637\) 20.7363 14.3877i 0.821602 0.570061i
\(638\) 30.1754i 1.19465i
\(639\) 13.9720 + 18.6623i 0.552724 + 0.738270i
\(640\) −2.32511 4.02722i −0.0919082 0.159190i
\(641\) 4.39021 + 7.60407i 0.173403 + 0.300343i 0.939607 0.342254i \(-0.111190\pi\)
−0.766204 + 0.642597i \(0.777857\pi\)
\(642\) −8.80681 + 25.4478i −0.347577 + 1.00435i
\(643\) 12.7014 12.7014i 0.500895 0.500895i −0.410821 0.911716i \(-0.634758\pi\)
0.911716 + 0.410821i \(0.134758\pi\)
\(644\) −35.8727 + 29.3817i −1.41358 + 1.15780i
\(645\) 11.6929 2.25394i 0.460406 0.0887487i
\(646\) −2.88705 + 5.00051i −0.113589 + 0.196742i
\(647\) −7.00302 12.1296i −0.275317 0.476863i 0.694898 0.719108i \(-0.255450\pi\)
−0.970215 + 0.242245i \(0.922116\pi\)
\(648\) −5.10866 + 2.79025i −0.200687 + 0.109611i
\(649\) 15.1791 + 8.76364i 0.595830 + 0.344003i
\(650\) −31.2307 + 0.608236i −1.22497 + 0.0238570i
\(651\) −13.8514 + 5.10457i −0.542881 + 0.200064i
\(652\) −15.7760 + 15.7760i −0.617834 + 0.617834i
\(653\) −21.7170 12.5383i −0.849852 0.490662i 0.0107487 0.999942i \(-0.496579\pi\)
−0.860601 + 0.509280i \(0.829912\pi\)
\(654\) −3.08076 + 43.0909i −0.120467 + 1.68499i
\(655\) 17.9418 + 4.80750i 0.701045 + 0.187845i
\(656\) 11.8885 3.18552i 0.464169 0.124374i
\(657\) −5.47496 + 12.7871i −0.213598 + 0.498873i
\(658\) −14.4515 + 38.2839i −0.563378 + 1.49246i
\(659\) 20.2823i 0.790086i −0.918663 0.395043i \(-0.870730\pi\)
0.918663 0.395043i \(-0.129270\pi\)
\(660\) −5.22998 10.7656i −0.203577 0.419052i
\(661\) −5.76113 + 21.5008i −0.224082 + 0.836285i 0.758688 + 0.651454i \(0.225841\pi\)
−0.982770 + 0.184831i \(0.940826\pi\)
\(662\) 19.1741 + 33.2106i 0.745224 + 1.29077i
\(663\) 4.04281 + 1.31153i 0.157010 + 0.0509357i
\(664\) 6.92221 0.268634
\(665\) −3.47327 + 9.20116i −0.134688 + 0.356806i
\(666\) 50.3560 20.1626i 1.95125 0.781285i
\(667\) 29.0398 + 16.7662i 1.12443 + 0.649188i
\(668\) −9.92208 + 37.0297i −0.383897 + 1.43272i
\(669\) 12.1465 + 14.0170i 0.469609 + 0.541928i
\(670\) −15.8925 + 4.25839i −0.613982 + 0.164516i
\(671\) 20.8140 20.8140i 0.803516 0.803516i
\(672\) −12.8419 34.8471i −0.495389 1.34426i
\(673\) 3.25786i 0.125581i 0.998027 + 0.0627907i \(0.0200001\pi\)
−0.998027 + 0.0627907i \(0.980000\pi\)
\(674\) 3.00072 + 11.1988i 0.115583 + 0.431363i
\(675\) 6.60294 + 20.6501i 0.254147 + 0.794822i
\(676\) 16.0265 + 25.4187i 0.616405 + 0.977644i
\(677\) −13.1798 7.60938i −0.506542 0.292452i 0.224869 0.974389i \(-0.427805\pi\)
−0.731411 + 0.681937i \(0.761138\pi\)
\(678\) −21.2707 + 4.10018i −0.816895 + 0.157466i
\(679\) 11.2048 + 1.11456i 0.430000 + 0.0427728i
\(680\) −0.400464 −0.0153571
\(681\) −43.5025 15.0551i −1.66702 0.576911i
\(682\) −21.2306 5.68873i −0.812963 0.217833i
\(683\) 3.99516 + 1.07050i 0.152870 + 0.0409615i 0.334443 0.942416i \(-0.391452\pi\)
−0.181572 + 0.983378i \(0.558119\pi\)
\(684\) 16.9810 + 22.6814i 0.649284 + 0.867245i
\(685\) 2.11642 0.0808643
\(686\) −28.1439 + 26.2062i −1.07454 + 1.00056i
\(687\) −7.50292 38.9232i −0.286254 1.48501i
\(688\) 21.4663 + 12.3936i 0.818395 + 0.472500i
\(689\) 33.9461 + 8.39092i 1.29324 + 0.319669i
\(690\) −24.7451 1.76914i −0.942029 0.0673500i
\(691\) 2.80836 + 10.4809i 0.106835 + 0.398714i 0.998547 0.0538898i \(-0.0171620\pi\)
−0.891712 + 0.452604i \(0.850495\pi\)
\(692\) 5.53123i 0.210266i
\(693\) −7.25064 25.0537i −0.275429 0.951713i
\(694\) −0.961800 + 0.961800i −0.0365094 + 0.0365094i
\(695\) 3.29843 0.883811i 0.125116 0.0335249i
\(696\) 3.74415 3.24450i 0.141922 0.122983i
\(697\) 0.660976 2.46680i 0.0250363 0.0934366i
\(698\) −39.8498 23.0073i −1.50834 0.870840i
\(699\) 36.2798 + 24.5535i 1.37223 + 0.928698i
\(700\) 25.1796 4.13206i 0.951698 0.156177i
\(701\) −18.6877 −0.705826 −0.352913 0.935656i \(-0.614809\pi\)
−0.352913 + 0.935656i \(0.614809\pi\)
\(702\) 25.5997 29.2914i 0.966200 1.10553i
\(703\) −17.7896 30.8125i −0.670947 1.16211i
\(704\) 8.73241 32.5898i 0.329115 1.22827i
\(705\) −10.5575 + 5.12886i −0.397618 + 0.193164i
\(706\) 32.9663i 1.24070i
\(707\) −4.71066 + 12.4792i −0.177163 + 0.469328i
\(708\) −4.04201 20.9689i −0.151908 0.788061i
\(709\) 20.7836 5.56894i 0.780544 0.209146i 0.153519 0.988146i \(-0.450939\pi\)
0.627024 + 0.779000i \(0.284273\pi\)
\(710\) 14.1796 + 3.79942i 0.532152 + 0.142590i
\(711\) 3.33138 4.23666i 0.124936 0.158887i
\(712\) 0.519642 + 0.300015i 0.0194744 + 0.0112435i
\(713\) −17.2709 + 17.2709i −0.646800 + 0.646800i
\(714\) −6.38202 1.09893i −0.238841 0.0411262i
\(715\) 7.76870 + 7.47188i 0.290533 + 0.279433i
\(716\) −2.38620 1.37767i −0.0891764 0.0514860i
\(717\) 10.8343 9.38847i 0.404614 0.350619i
\(718\) 13.1834 + 22.8342i 0.491998 + 0.852166i
\(719\) 13.2859 23.0119i 0.495481 0.858198i −0.504506 0.863408i \(-0.668325\pi\)
0.999986 + 0.00521062i \(0.00165860\pi\)
\(720\) 3.52356 8.22950i 0.131315 0.306695i
\(721\) 1.67726 + 10.2207i 0.0624644 + 0.380640i
\(722\) −3.38459 + 3.38459i −0.125961 + 0.125961i
\(723\) 1.33806 + 0.463067i 0.0497630 + 0.0172217i
\(724\) 21.6208 + 37.4483i 0.803530 + 1.39176i
\(725\) −9.22613 15.9801i −0.342650 0.593487i
\(726\) −0.237824 + 0.687206i −0.00882646 + 0.0255046i
\(727\) 34.4681i 1.27835i −0.769061 0.639176i \(-0.779276\pi\)
0.769061 0.639176i \(-0.220724\pi\)
\(728\) −4.00168 4.69613i −0.148312 0.174050i
\(729\) −24.5619 11.2123i −0.909699 0.415269i
\(730\) 2.26695 + 8.46039i 0.0839038 + 0.313133i
\(731\) 4.45413 2.57159i 0.164742 0.0951138i
\(732\) −35.7724 2.55753i −1.32219 0.0945290i
\(733\) −12.5822 46.9574i −0.464734 1.73441i −0.657770 0.753218i \(-0.728500\pi\)
0.193037 0.981192i \(-0.438166\pi\)
\(734\) 33.9238 + 33.9238i 1.25215 + 1.25215i
\(735\) −11.0300 0.0867517i −0.406847 0.00319988i
\(736\) −43.4497 43.4497i −1.60158 1.60158i
\(737\) −24.7859 14.3101i −0.912999 0.527120i
\(738\) −18.3745 14.4483i −0.676374 0.531848i
\(739\) 0.723243 2.69918i 0.0266049 0.0992910i −0.951347 0.308122i \(-0.900299\pi\)
0.977952 + 0.208831i \(0.0669660\pi\)
\(740\) 9.15580 15.8583i 0.336574 0.582963i
\(741\) −21.4064 13.8875i −0.786384 0.510170i
\(742\) −53.0177 5.27376i −1.94634 0.193606i
\(743\) 0.540468 + 0.540468i 0.0198279 + 0.0198279i 0.716951 0.697123i \(-0.245537\pi\)
−0.697123 + 0.716951i \(0.745537\pi\)
\(744\) 1.57689 + 3.24595i 0.0578118 + 0.119002i
\(745\) 15.1328 8.73695i 0.554425 0.320097i
\(746\) 19.4465 72.5752i 0.711986 2.65717i
\(747\) 19.2429 + 25.7027i 0.704062 + 0.940412i
\(748\) −3.65531 3.65531i −0.133651 0.133651i
\(749\) 3.20802 + 19.5487i 0.117218 + 0.714295i
\(750\) 24.8542 + 16.8208i 0.907547 + 0.614210i
\(751\) 0.425319 + 0.245558i 0.0155201 + 0.00896053i 0.507740 0.861510i \(-0.330481\pi\)
−0.492220 + 0.870471i \(0.663814\pi\)
\(752\) −23.5993 6.32340i −0.860576 0.230591i
\(753\) 0.834776 11.6761i 0.0304209 0.425500i
\(754\) −15.9934 + 28.9909i −0.582446 + 1.05578i
\(755\) 11.6772i 0.424976i
\(756\) −17.2835 + 26.6665i −0.628596 + 0.969851i
\(757\) 46.8738 1.70366 0.851829 0.523820i \(-0.175494\pi\)
0.851829 + 0.523820i \(0.175494\pi\)
\(758\) 1.60697 2.78336i 0.0583679 0.101096i
\(759\) −28.2607 32.6128i −1.02580 1.18377i
\(760\) 2.32230 + 0.622258i 0.0842386 + 0.0225717i
\(761\) −10.5870 39.5114i −0.383780 1.43229i −0.840081 0.542461i \(-0.817493\pi\)
0.456301 0.889825i \(-0.349174\pi\)
\(762\) −61.4944 + 11.8538i −2.22771 + 0.429417i
\(763\) 13.0881 + 28.9609i 0.473822 + 1.04845i
\(764\) 9.81135 0.354962
\(765\) −1.11324 1.48695i −0.0402494 0.0537609i
\(766\) 55.3532 31.9582i 1.99999 1.15470i
\(767\) 9.93835 + 16.4648i 0.358853 + 0.594508i
\(768\) 15.4575 7.50931i 0.557775 0.270969i
\(769\) 0.240384 0.240384i 0.00866848 0.00866848i −0.702759 0.711428i \(-0.748049\pi\)
0.711428 + 0.702759i \(0.248049\pi\)
\(770\) −13.3403 9.57915i −0.480752 0.345209i
\(771\) 17.1046 + 11.5761i 0.616008 + 0.416902i
\(772\) −6.88214 25.6845i −0.247694 0.924405i