Properties

Label 300.2.r.a.239.55
Level $300$
Weight $2$
Character 300.239
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 239.55
Character \(\chi\) \(=\) 300.239
Dual form 300.2.r.a.59.55

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41029 - 0.105278i) q^{2} +(-1.72988 - 0.0865951i) q^{3} +(1.97783 - 0.296946i) q^{4} +(2.23180 - 0.138020i) q^{5} +(-2.44875 + 0.0599951i) q^{6} -1.71470 q^{7} +(2.75806 - 0.627002i) q^{8} +(2.98500 + 0.299599i) q^{9} +O(q^{10})\) \(q+(1.41029 - 0.105278i) q^{2} +(-1.72988 - 0.0865951i) q^{3} +(1.97783 - 0.296946i) q^{4} +(2.23180 - 0.138020i) q^{5} +(-2.44875 + 0.0599951i) q^{6} -1.71470 q^{7} +(2.75806 - 0.627002i) q^{8} +(2.98500 + 0.299599i) q^{9} +(3.13296 - 0.429608i) q^{10} +(3.14759 - 2.28686i) q^{11} +(-3.44714 + 0.342411i) q^{12} +(-2.67449 + 3.68112i) q^{13} +(-2.41822 + 0.180521i) q^{14} +(-3.87272 + 0.0454950i) q^{15} +(3.82365 - 1.17462i) q^{16} +(-1.44409 - 4.44446i) q^{17} +(4.24126 + 0.108266i) q^{18} +(2.75739 - 0.895932i) q^{19} +(4.37315 - 0.935705i) q^{20} +(2.96623 + 0.148484i) q^{21} +(4.19826 - 3.55651i) q^{22} +(3.94620 + 5.43148i) q^{23} +(-4.82541 + 0.845808i) q^{24} +(4.96190 - 0.616066i) q^{25} +(-3.38427 + 5.47302i) q^{26} +(-5.13777 - 0.776759i) q^{27} +(-3.39139 + 0.509172i) q^{28} +(-7.46173 - 2.42446i) q^{29} +(-5.45686 + 0.471874i) q^{30} +(-6.34887 + 2.06287i) q^{31} +(5.26879 - 2.05910i) q^{32} +(-5.64300 + 3.68344i) q^{33} +(-2.50449 - 6.11594i) q^{34} +(-3.82687 + 0.236662i) q^{35} +(5.99280 - 0.293827i) q^{36} +(-3.44774 + 4.74541i) q^{37} +(3.79440 - 1.55382i) q^{38} +(4.94533 - 6.13632i) q^{39} +(6.06890 - 1.78001i) q^{40} +(-3.75291 + 5.16544i) q^{41} +(4.19888 - 0.102874i) q^{42} -2.64933 q^{43} +(5.54634 - 5.45769i) q^{44} +(6.70329 + 0.256657i) q^{45} +(6.13711 + 7.24452i) q^{46} +(-5.75149 - 1.86877i) q^{47} +(-6.71618 + 1.70085i) q^{48} -4.05981 q^{49} +(6.93286 - 1.39121i) q^{50} +(2.11325 + 7.81346i) q^{51} +(-4.19661 + 8.07483i) q^{52} +(0.134895 - 0.415164i) q^{53} +(-7.32751 - 0.554559i) q^{54} +(6.70918 - 5.53825i) q^{55} +(-4.72923 + 1.07512i) q^{56} +(-4.84756 + 1.31108i) q^{57} +(-10.7784 - 2.63364i) q^{58} +(-2.61576 - 1.90046i) q^{59} +(-7.64608 + 1.23997i) q^{60} +(5.20398 - 3.78091i) q^{61} +(-8.73657 + 3.57765i) q^{62} +(-5.11838 - 0.513722i) q^{63} +(7.21374 - 3.45861i) q^{64} +(-5.46088 + 8.58468i) q^{65} +(-7.57048 + 5.78880i) q^{66} +(-1.75844 - 5.41192i) q^{67} +(-4.17594 - 8.36158i) q^{68} +(-6.35614 - 9.73757i) q^{69} +(-5.37208 + 0.736649i) q^{70} +(-3.57396 + 10.9995i) q^{71} +(8.42065 - 1.04529i) q^{72} +(4.32575 + 5.95389i) q^{73} +(-4.36272 + 7.05537i) q^{74} +(-8.63687 + 0.636047i) q^{75} +(5.18762 - 2.59080i) q^{76} +(-5.39717 + 3.92127i) q^{77} +(6.32833 - 9.17463i) q^{78} +(3.64146 + 1.18318i) q^{79} +(8.37151 - 3.14926i) q^{80} +(8.82048 + 1.78861i) q^{81} +(-4.74888 + 7.67987i) q^{82} +(-4.21070 + 1.36814i) q^{83} +(5.91080 - 0.587132i) q^{84} +(-3.83636 - 9.71985i) q^{85} +(-3.73632 + 0.278917i) q^{86} +(12.6980 + 4.84019i) q^{87} +(7.24737 - 8.28083i) q^{88} +(2.46198 + 3.38862i) q^{89} +(9.48060 - 0.343750i) q^{90} +(4.58595 - 6.31202i) q^{91} +(9.41779 + 9.57076i) q^{92} +(11.1615 - 3.01875i) q^{93} +(-8.30801 - 2.03000i) q^{94} +(6.03031 - 2.38012i) q^{95} +(-9.29270 + 3.10575i) q^{96} +(8.74495 + 2.84141i) q^{97} +(-5.72551 + 0.427410i) q^{98} +(10.0807 - 5.88327i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41029 0.105278i 0.997225 0.0744430i
\(3\) −1.72988 0.0865951i −0.998749 0.0499957i
\(4\) 1.97783 0.296946i 0.988916 0.148473i
\(5\) 2.23180 0.138020i 0.998093 0.0617243i
\(6\) −2.44875 + 0.0599951i −0.999700 + 0.0244929i
\(7\) −1.71470 −0.648095 −0.324048 0.946041i \(-0.605044\pi\)
−0.324048 + 0.946041i \(0.605044\pi\)
\(8\) 2.75806 0.627002i 0.975120 0.221679i
\(9\) 2.98500 + 0.299599i 0.995001 + 0.0998664i
\(10\) 3.13296 0.429608i 0.990729 0.135854i
\(11\) 3.14759 2.28686i 0.949035 0.689514i −0.00154353 0.999999i \(-0.500491\pi\)
0.950578 + 0.310485i \(0.100491\pi\)
\(12\) −3.44714 + 0.342411i −0.995103 + 0.0988456i
\(13\) −2.67449 + 3.68112i −0.741771 + 1.02096i 0.256744 + 0.966479i \(0.417350\pi\)
−0.998515 + 0.0544806i \(0.982650\pi\)
\(14\) −2.41822 + 0.180521i −0.646297 + 0.0482461i
\(15\) −3.87272 + 0.0454950i −0.999931 + 0.0117467i
\(16\) 3.82365 1.17462i 0.955912 0.293655i
\(17\) −1.44409 4.44446i −0.350244 1.07794i −0.958716 0.284365i \(-0.908217\pi\)
0.608472 0.793575i \(-0.291783\pi\)
\(18\) 4.24126 + 0.108266i 0.999674 + 0.0255184i
\(19\) 2.75739 0.895932i 0.632590 0.205541i 0.0248678 0.999691i \(-0.492084\pi\)
0.607722 + 0.794150i \(0.292084\pi\)
\(20\) 4.37315 0.935705i 0.977866 0.209230i
\(21\) 2.96623 + 0.148484i 0.647285 + 0.0324020i
\(22\) 4.19826 3.55651i 0.895072 0.758250i
\(23\) 3.94620 + 5.43148i 0.822841 + 1.13254i 0.989214 + 0.146480i \(0.0467944\pi\)
−0.166373 + 0.986063i \(0.553206\pi\)
\(24\) −4.82541 + 0.845808i −0.984983 + 0.172650i
\(25\) 4.96190 0.616066i 0.992380 0.123213i
\(26\) −3.38427 + 5.47302i −0.663709 + 1.07335i
\(27\) −5.13777 0.776759i −0.988764 0.149487i
\(28\) −3.39139 + 0.509172i −0.640912 + 0.0962245i
\(29\) −7.46173 2.42446i −1.38561 0.450211i −0.481099 0.876666i \(-0.659762\pi\)
−0.904509 + 0.426455i \(0.859762\pi\)
\(30\) −5.45686 + 0.471874i −0.996282 + 0.0861520i
\(31\) −6.34887 + 2.06287i −1.14029 + 0.370503i −0.817478 0.575960i \(-0.804629\pi\)
−0.322813 + 0.946463i \(0.604629\pi\)
\(32\) 5.26879 2.05910i 0.931399 0.364001i
\(33\) −5.64300 + 3.68344i −0.982321 + 0.641204i
\(34\) −2.50449 6.11594i −0.429517 1.04888i
\(35\) −3.82687 + 0.236662i −0.646859 + 0.0400032i
\(36\) 5.99280 0.293827i 0.998800 0.0489711i
\(37\) −3.44774 + 4.74541i −0.566805 + 0.780140i −0.992172 0.124881i \(-0.960145\pi\)
0.425367 + 0.905021i \(0.360145\pi\)
\(38\) 3.79440 1.55382i 0.615533 0.252062i
\(39\) 4.94533 6.13632i 0.791887 0.982598i
\(40\) 6.06890 1.78001i 0.959577 0.281445i
\(41\) −3.75291 + 5.16544i −0.586106 + 0.806706i −0.994348 0.106168i \(-0.966142\pi\)
0.408242 + 0.912874i \(0.366142\pi\)
\(42\) 4.19888 0.102874i 0.647901 0.0158737i
\(43\) −2.64933 −0.404019 −0.202009 0.979384i \(-0.564747\pi\)
−0.202009 + 0.979384i \(0.564747\pi\)
\(44\) 5.54634 5.45769i 0.836142 0.822778i
\(45\) 6.70329 + 0.256657i 0.999268 + 0.0382602i
\(46\) 6.13711 + 7.24452i 0.904867 + 1.06815i
\(47\) −5.75149 1.86877i −0.838941 0.272589i −0.142134 0.989847i \(-0.545397\pi\)
−0.696807 + 0.717259i \(0.745397\pi\)
\(48\) −6.71618 + 1.70085i −0.969398 + 0.245496i
\(49\) −4.05981 −0.579973
\(50\) 6.93286 1.39121i 0.980454 0.196747i
\(51\) 2.11325 + 7.81346i 0.295914 + 1.09410i
\(52\) −4.19661 + 8.07483i −0.581965 + 1.11978i
\(53\) 0.134895 0.415164i 0.0185293 0.0570272i −0.941364 0.337392i \(-0.890455\pi\)
0.959894 + 0.280364i \(0.0904553\pi\)
\(54\) −7.32751 0.554559i −0.997148 0.0754660i
\(55\) 6.70918 5.53825i 0.904665 0.746778i
\(56\) −4.72923 + 1.07512i −0.631970 + 0.143669i
\(57\) −4.84756 + 1.31108i −0.642075 + 0.173657i
\(58\) −10.7784 2.63364i −1.41528 0.345813i
\(59\) −2.61576 1.90046i −0.340543 0.247419i 0.404348 0.914605i \(-0.367498\pi\)
−0.744891 + 0.667186i \(0.767498\pi\)
\(60\) −7.64608 + 1.23997i −0.987104 + 0.160079i
\(61\) 5.20398 3.78091i 0.666301 0.484096i −0.202484 0.979286i \(-0.564901\pi\)
0.868785 + 0.495189i \(0.164901\pi\)
\(62\) −8.73657 + 3.57765i −1.10955 + 0.454362i
\(63\) −5.11838 0.513722i −0.644855 0.0647229i
\(64\) 7.21374 3.45861i 0.901717 0.432327i
\(65\) −5.46088 + 8.58468i −0.677338 + 1.06480i
\(66\) −7.57048 + 5.78880i −0.931862 + 0.712552i
\(67\) −1.75844 5.41192i −0.214828 0.661171i −0.999166 0.0408380i \(-0.986997\pi\)
0.784338 0.620334i \(-0.213003\pi\)
\(68\) −4.17594 8.36158i −0.506407 1.01399i
\(69\) −6.35614 9.73757i −0.765189 1.17227i
\(70\) −5.37208 + 0.736649i −0.642086 + 0.0880464i
\(71\) −3.57396 + 10.9995i −0.424151 + 1.30540i 0.479654 + 0.877457i \(0.340762\pi\)
−0.903805 + 0.427944i \(0.859238\pi\)
\(72\) 8.42065 1.04529i 0.992383 0.123189i
\(73\) 4.32575 + 5.95389i 0.506291 + 0.696850i 0.983288 0.182055i \(-0.0582748\pi\)
−0.476997 + 0.878905i \(0.658275\pi\)
\(74\) −4.36272 + 7.05537i −0.507156 + 0.820170i
\(75\) −8.63687 + 0.636047i −0.997299 + 0.0734444i
\(76\) 5.18762 2.59080i 0.595061 0.297185i
\(77\) −5.39717 + 3.92127i −0.615065 + 0.446871i
\(78\) 6.32833 9.17463i 0.716542 1.03882i
\(79\) 3.64146 + 1.18318i 0.409696 + 0.133118i 0.506612 0.862174i \(-0.330898\pi\)
−0.0969156 + 0.995293i \(0.530898\pi\)
\(80\) 8.37151 3.14926i 0.935963 0.352098i
\(81\) 8.82048 + 1.78861i 0.980053 + 0.198734i
\(82\) −4.74888 + 7.67987i −0.524426 + 0.848099i
\(83\) −4.21070 + 1.36814i −0.462185 + 0.150173i −0.530848 0.847467i \(-0.678127\pi\)
0.0686635 + 0.997640i \(0.478127\pi\)
\(84\) 5.91080 0.587132i 0.644921 0.0640614i
\(85\) −3.83636 9.71985i −0.416111 1.05427i
\(86\) −3.73632 + 0.278917i −0.402897 + 0.0300764i
\(87\) 12.6980 + 4.84019i 1.36137 + 0.518923i
\(88\) 7.24737 8.28083i 0.772572 0.882740i
\(89\) 2.46198 + 3.38862i 0.260969 + 0.359193i 0.919315 0.393522i \(-0.128744\pi\)
−0.658346 + 0.752716i \(0.728744\pi\)
\(90\) 9.48060 0.343750i 0.999343 0.0362344i
\(91\) 4.58595 6.31202i 0.480738 0.661679i
\(92\) 9.41779 + 9.57076i 0.981873 + 0.997821i
\(93\) 11.1615 3.01875i 1.15739 0.313030i
\(94\) −8.30801 2.03000i −0.856906 0.209379i
\(95\) 6.03031 2.38012i 0.618697 0.244195i
\(96\) −9.29270 + 3.10575i −0.948432 + 0.316980i
\(97\) 8.74495 + 2.84141i 0.887915 + 0.288501i 0.717240 0.696826i \(-0.245405\pi\)
0.170675 + 0.985327i \(0.445405\pi\)
\(98\) −5.72551 + 0.427410i −0.578364 + 0.0431749i
\(99\) 10.0807 5.88327i 1.01315 0.591291i
\(100\) 9.63087 2.69189i 0.963087 0.269189i
\(101\) 16.4183i 1.63368i −0.576863 0.816841i \(-0.695723\pi\)
0.576863 0.816841i \(-0.304277\pi\)
\(102\) 3.80288 + 10.7968i 0.376541 + 1.06904i
\(103\) 0.620098 1.90846i 0.0611000 0.188047i −0.915847 0.401526i \(-0.868480\pi\)
0.976947 + 0.213480i \(0.0684798\pi\)
\(104\) −5.06833 + 11.8297i −0.496990 + 1.15999i
\(105\) 6.64054 0.0780101i 0.648050 0.00761301i
\(106\) 0.146533 0.599703i 0.0142326 0.0582483i
\(107\) 16.1556i 1.56182i −0.624642 0.780912i \(-0.714755\pi\)
0.624642 0.780912i \(-0.285245\pi\)
\(108\) −10.3923 0.0106608i −0.999999 0.00102584i
\(109\) 2.91643 + 2.11891i 0.279343 + 0.202955i 0.718631 0.695392i \(-0.244769\pi\)
−0.439288 + 0.898346i \(0.644769\pi\)
\(110\) 8.87883 8.51687i 0.846563 0.812052i
\(111\) 6.37512 7.91045i 0.605100 0.750826i
\(112\) −6.55640 + 2.01412i −0.619522 + 0.190316i
\(113\) −1.32438 0.962220i −0.124587 0.0905180i 0.523747 0.851874i \(-0.324534\pi\)
−0.648334 + 0.761356i \(0.724534\pi\)
\(114\) −6.69843 + 2.35935i −0.627366 + 0.220973i
\(115\) 9.55681 + 11.5774i 0.891177 + 1.07959i
\(116\) −15.4780 2.57945i −1.43709 0.239496i
\(117\) −9.08623 + 10.1869i −0.840022 + 0.941778i
\(118\) −3.88905 2.40481i −0.358016 0.221381i
\(119\) 2.47618 + 7.62091i 0.226991 + 0.698608i
\(120\) −10.6526 + 2.55368i −0.972448 + 0.233118i
\(121\) 1.27842 3.93458i 0.116220 0.357690i
\(122\) 6.94107 5.88005i 0.628415 0.532355i
\(123\) 6.93941 8.61063i 0.625705 0.776395i
\(124\) −11.9445 + 5.96529i −1.07264 + 0.535699i
\(125\) 10.9890 2.05978i 0.982883 0.184232i
\(126\) −7.27248 0.185643i −0.647884 0.0165384i
\(127\) 3.46459 2.51717i 0.307432 0.223363i −0.423362 0.905961i \(-0.639150\pi\)
0.730794 + 0.682598i \(0.239150\pi\)
\(128\) 9.80934 5.63710i 0.867031 0.498254i
\(129\) 4.58303 + 0.229419i 0.403513 + 0.0201992i
\(130\) −6.79764 + 12.6818i −0.596192 + 1.11227i
\(131\) 2.82819 + 8.70426i 0.247100 + 0.760495i 0.995284 + 0.0970038i \(0.0309259\pi\)
−0.748184 + 0.663491i \(0.769074\pi\)
\(132\) −10.0671 + 8.96089i −0.876232 + 0.779945i
\(133\) −4.72810 + 1.53625i −0.409978 + 0.133210i
\(134\) −3.04967 7.44725i −0.263451 0.643344i
\(135\) −11.5737 1.02446i −0.996105 0.0881715i
\(136\) −6.76957 11.3526i −0.580486 0.973479i
\(137\) 1.66536 + 1.20995i 0.142281 + 0.103373i 0.656649 0.754196i \(-0.271973\pi\)
−0.514368 + 0.857570i \(0.671973\pi\)
\(138\) −9.98915 13.0636i −0.850333 1.11205i
\(139\) 7.79175 + 10.7244i 0.660887 + 0.909633i 0.999510 0.0312888i \(-0.00996117\pi\)
−0.338623 + 0.940922i \(0.609961\pi\)
\(140\) −7.49864 + 1.60445i −0.633750 + 0.135601i
\(141\) 9.78759 + 3.73081i 0.824264 + 0.314191i
\(142\) −3.88230 + 15.8888i −0.325796 + 1.33335i
\(143\) 17.7029i 1.48039i
\(144\) 11.7655 2.36068i 0.980459 0.196723i
\(145\) −16.9877 4.38106i −1.41075 0.363827i
\(146\) 6.72738 + 7.94130i 0.556762 + 0.657227i
\(147\) 7.02300 + 0.351560i 0.579248 + 0.0289962i
\(148\) −5.40992 + 10.4094i −0.444693 + 0.855648i
\(149\) 18.9421i 1.55179i −0.630860 0.775897i \(-0.717298\pi\)
0.630860 0.775897i \(-0.282702\pi\)
\(150\) −12.1135 + 1.80629i −0.989065 + 0.147483i
\(151\) 9.97260i 0.811558i 0.913971 + 0.405779i \(0.133000\pi\)
−0.913971 + 0.405779i \(0.867000\pi\)
\(152\) 7.04329 4.19992i 0.571287 0.340659i
\(153\) −2.97906 13.6994i −0.240843 1.10753i
\(154\) −7.19875 + 6.09834i −0.580092 + 0.491418i
\(155\) −13.8847 + 5.48020i −1.11525 + 0.440180i
\(156\) 7.95889 13.6051i 0.637221 1.08928i
\(157\) 20.6829i 1.65068i −0.564639 0.825338i \(-0.690985\pi\)
0.564639 0.825338i \(-0.309015\pi\)
\(158\) 5.26008 + 1.28526i 0.418469 + 0.102250i
\(159\) −0.269304 + 0.706505i −0.0213572 + 0.0560295i
\(160\) 11.4747 5.32270i 0.907155 0.420797i
\(161\) −6.76655 9.31336i −0.533279 0.733995i
\(162\) 12.6277 + 1.59385i 0.992128 + 0.125225i
\(163\) 1.14950 + 0.835159i 0.0900356 + 0.0654147i 0.631892 0.775056i \(-0.282278\pi\)
−0.541857 + 0.840471i \(0.682278\pi\)
\(164\) −5.88878 + 11.3308i −0.459836 + 0.884786i
\(165\) −12.0857 + 8.99956i −0.940870 + 0.700615i
\(166\) −5.79427 + 2.37277i −0.449723 + 0.184163i
\(167\) −3.52777 + 1.14624i −0.272987 + 0.0886988i −0.442311 0.896862i \(-0.645841\pi\)
0.169325 + 0.985560i \(0.445841\pi\)
\(168\) 8.27413 1.45031i 0.638363 0.111893i
\(169\) −2.38054 7.32654i −0.183118 0.563580i
\(170\) −6.43366 13.3039i −0.493439 1.02036i
\(171\) 8.49925 1.84825i 0.649954 0.141339i
\(172\) −5.23993 + 0.786706i −0.399541 + 0.0599858i
\(173\) −3.55951 + 2.58613i −0.270624 + 0.196620i −0.714818 0.699311i \(-0.753490\pi\)
0.444193 + 0.895931i \(0.353490\pi\)
\(174\) 18.4174 + 5.48925i 1.39622 + 0.416139i
\(175\) −8.50816 + 1.05637i −0.643157 + 0.0798539i
\(176\) 9.34909 12.4414i 0.704714 0.937803i
\(177\) 4.36039 + 3.51409i 0.327747 + 0.264135i
\(178\) 3.82885 + 4.51975i 0.286985 + 0.338769i
\(179\) 5.88951 18.1260i 0.440203 1.35480i −0.447458 0.894305i \(-0.647670\pi\)
0.887660 0.460499i \(-0.152330\pi\)
\(180\) 13.3342 1.48289i 0.993873 0.110528i
\(181\) 2.77000 + 8.52519i 0.205893 + 0.633672i 0.999676 + 0.0254712i \(0.00810862\pi\)
−0.793783 + 0.608201i \(0.791891\pi\)
\(182\) 5.80300 9.38457i 0.430147 0.695631i
\(183\) −9.32970 + 6.08990i −0.689671 + 0.450179i
\(184\) 14.2894 + 12.5061i 1.05343 + 0.921959i
\(185\) −7.03972 + 11.0667i −0.517570 + 0.813638i
\(186\) 15.4231 5.43238i 1.13087 0.398321i
\(187\) −14.7093 10.6869i −1.07565 0.781504i
\(188\) −11.9304 1.98824i −0.870115 0.145007i
\(189\) 8.80972 + 1.33191i 0.640813 + 0.0968820i
\(190\) 8.25391 3.99152i 0.598801 0.289575i
\(191\) 15.4262 + 11.2078i 1.11620 + 0.810969i 0.983629 0.180204i \(-0.0576758\pi\)
0.132574 + 0.991173i \(0.457676\pi\)
\(192\) −12.7784 + 5.35833i −0.922204 + 0.386704i
\(193\) 7.83116i 0.563699i −0.959459 0.281850i \(-0.909052\pi\)
0.959459 0.281850i \(-0.0909479\pi\)
\(194\) 12.6320 + 3.08655i 0.906928 + 0.221601i
\(195\) 10.1901 14.3776i 0.729727 1.02960i
\(196\) −8.02963 + 1.20554i −0.573545 + 0.0861102i
\(197\) −5.64257 + 17.3661i −0.402017 + 1.23728i 0.521344 + 0.853347i \(0.325431\pi\)
−0.923361 + 0.383934i \(0.874569\pi\)
\(198\) 13.5973 9.35839i 0.966321 0.665072i
\(199\) 9.14196i 0.648057i 0.946047 + 0.324028i \(0.105037\pi\)
−0.946047 + 0.324028i \(0.894963\pi\)
\(200\) 13.2989 4.81027i 0.940376 0.340137i
\(201\) 2.57325 + 9.51427i 0.181503 + 0.671085i
\(202\) −1.72849 23.1546i −0.121616 1.62915i
\(203\) 12.7946 + 4.15722i 0.898005 + 0.291780i
\(204\) 6.49982 + 14.8262i 0.455078 + 1.03804i
\(205\) −7.66283 + 12.0462i −0.535195 + 0.841345i
\(206\) 0.673597 2.75677i 0.0469317 0.192073i
\(207\) 10.1522 + 17.3953i 0.705624 + 1.20906i
\(208\) −5.90240 + 17.2168i −0.409258 + 1.19377i
\(209\) 6.63028 9.12580i 0.458626 0.631245i
\(210\) 9.35687 0.809122i 0.645685 0.0558347i
\(211\) −6.21858 8.55914i −0.428105 0.589236i 0.539412 0.842042i \(-0.318647\pi\)
−0.967517 + 0.252806i \(0.918647\pi\)
\(212\) 0.143519 0.861182i 0.00985690 0.0591462i
\(213\) 7.13504 18.7184i 0.488885 1.28256i
\(214\) −1.70084 22.7841i −0.116267 1.55749i
\(215\) −5.91278 + 0.365659i −0.403248 + 0.0249378i
\(216\) −14.6573 + 1.07905i −0.997301 + 0.0734200i
\(217\) 10.8864 3.53721i 0.739017 0.240121i
\(218\) 4.33608 + 2.68124i 0.293677 + 0.181596i
\(219\) −6.96748 10.6741i −0.470818 0.721291i
\(220\) 11.6251 12.9460i 0.783762 0.872819i
\(221\) 20.2228 + 6.57079i 1.36033 + 0.441999i
\(222\) 8.15797 11.8272i 0.547527 0.793788i
\(223\) −10.7440 + 7.80598i −0.719472 + 0.522727i −0.886216 0.463273i \(-0.846675\pi\)
0.166743 + 0.986000i \(0.446675\pi\)
\(224\) −9.03438 + 3.53073i −0.603635 + 0.235907i
\(225\) 14.9959 0.352378i 0.999724 0.0234919i
\(226\) −1.96906 1.21758i −0.130980 0.0809922i
\(227\) −11.1209 15.3066i −0.738118 1.01593i −0.998725 0.0504878i \(-0.983922\pi\)
0.260606 0.965445i \(-0.416078\pi\)
\(228\) −9.19834 + 4.03256i −0.609175 + 0.267063i
\(229\) −6.73708 + 20.7346i −0.445199 + 1.37018i 0.437067 + 0.899429i \(0.356017\pi\)
−0.882265 + 0.470752i \(0.843983\pi\)
\(230\) 14.6967 + 15.3213i 0.969073 + 1.01026i
\(231\) 9.67605 6.31598i 0.636637 0.415561i
\(232\) −22.1000 2.00828i −1.45094 0.131850i
\(233\) 3.71162 + 11.4232i 0.243156 + 0.748358i 0.995934 + 0.0900833i \(0.0287133\pi\)
−0.752778 + 0.658274i \(0.771287\pi\)
\(234\) −11.7418 + 15.3230i −0.767583 + 1.00170i
\(235\) −13.0941 3.37692i −0.854167 0.220286i
\(236\) −5.73786 2.98205i −0.373503 0.194115i
\(237\) −6.19685 2.36210i −0.402529 0.153435i
\(238\) 4.29445 + 10.4870i 0.278368 + 0.679771i
\(239\) 10.7819 7.83352i 0.697424 0.506708i −0.181668 0.983360i \(-0.558150\pi\)
0.879092 + 0.476652i \(0.158150\pi\)
\(240\) −14.7545 + 4.72292i −0.952396 + 0.304863i
\(241\) −23.1913 16.8495i −1.49388 1.08537i −0.972739 0.231903i \(-0.925505\pi\)
−0.521145 0.853468i \(-0.674495\pi\)
\(242\) 1.38872 5.68349i 0.0892704 0.365349i
\(243\) −15.1035 3.85790i −0.968892 0.247484i
\(244\) 9.16988 9.02331i 0.587041 0.577659i
\(245\) −9.06070 + 0.560334i −0.578867 + 0.0357984i
\(246\) 8.88006 12.8741i 0.566172 0.820820i
\(247\) −4.07660 + 12.5465i −0.259388 + 0.798313i
\(248\) −16.2171 + 9.67028i −1.02979 + 0.614063i
\(249\) 7.40250 2.00210i 0.469115 0.126878i
\(250\) 15.2808 4.06179i 0.966441 0.256890i
\(251\) 2.78064 0.175513 0.0877564 0.996142i \(-0.472030\pi\)
0.0877564 + 0.996142i \(0.472030\pi\)
\(252\) −10.2758 + 0.503824i −0.647317 + 0.0317379i
\(253\) 24.8421 + 8.07168i 1.56181 + 0.507462i
\(254\) 4.62107 3.91468i 0.289952 0.245629i
\(255\) 5.79476 + 17.1464i 0.362882 + 1.07375i
\(256\) 13.2405 8.98265i 0.827534 0.561416i
\(257\) 1.23476 0.0770224 0.0385112 0.999258i \(-0.487738\pi\)
0.0385112 + 0.999258i \(0.487738\pi\)
\(258\) 6.48755 0.158947i 0.403897 0.00989559i
\(259\) 5.91183 8.13694i 0.367343 0.505605i
\(260\) −8.25152 + 18.6006i −0.511737 + 1.15356i
\(261\) −21.5469 9.47255i −1.33372 0.586336i
\(262\) 4.90493 + 11.9778i 0.303028 + 0.739990i
\(263\) 1.80536 2.48486i 0.111323 0.153223i −0.749720 0.661755i \(-0.769812\pi\)
0.861043 + 0.508532i \(0.169812\pi\)
\(264\) −13.2542 + 13.6973i −0.815739 + 0.843011i
\(265\) 0.243758 0.945183i 0.0149740 0.0580622i
\(266\) −6.50626 + 2.66433i −0.398924 + 0.163360i
\(267\) −3.96550 6.07512i −0.242685 0.371792i
\(268\) −5.08495 10.1817i −0.310613 0.621947i
\(269\) −18.2884 + 5.94228i −1.11507 + 0.362307i −0.807883 0.589343i \(-0.799387\pi\)
−0.307183 + 0.951650i \(0.599387\pi\)
\(270\) −16.4301 0.226326i −0.999905 0.0137737i
\(271\) 6.35379 + 2.06447i 0.385966 + 0.125408i 0.495571 0.868567i \(-0.334959\pi\)
−0.109606 + 0.993975i \(0.534959\pi\)
\(272\) −10.7422 15.2978i −0.651344 0.927565i
\(273\) −8.47975 + 10.5219i −0.513218 + 0.636817i
\(274\) 2.47602 + 1.53106i 0.149582 + 0.0924946i
\(275\) 14.2092 13.2863i 0.856846 0.801194i
\(276\) −15.4629 17.3718i −0.930758 1.04566i
\(277\) 5.52008 + 7.59774i 0.331670 + 0.456504i 0.941985 0.335654i \(-0.108957\pi\)
−0.610316 + 0.792158i \(0.708957\pi\)
\(278\) 12.1177 + 14.3042i 0.726769 + 0.857911i
\(279\) −19.5694 + 4.25557i −1.17159 + 0.254774i
\(280\) −10.4063 + 3.05218i −0.621897 + 0.182403i
\(281\) −1.77411 + 0.576444i −0.105835 + 0.0343878i −0.361456 0.932389i \(-0.617720\pi\)
0.255621 + 0.966777i \(0.417720\pi\)
\(282\) 14.1961 + 4.23110i 0.845366 + 0.251959i
\(283\) −4.54531 13.9890i −0.270190 0.831560i −0.990452 0.137858i \(-0.955978\pi\)
0.720262 0.693703i \(-0.244022\pi\)
\(284\) −3.80243 + 22.8165i −0.225633 + 1.35391i
\(285\) −10.6378 + 3.59514i −0.630132 + 0.212958i
\(286\) 1.86373 + 24.9662i 0.110205 + 1.47628i
\(287\) 6.43511 8.85717i 0.379853 0.522822i
\(288\) 16.3442 4.56789i 0.963094 0.269166i
\(289\) −3.91454 + 2.84408i −0.230267 + 0.167299i
\(290\) −24.4189 4.39012i −1.43392 0.257797i
\(291\) −14.8817 5.67257i −0.872380 0.332532i
\(292\) 10.3236 + 10.4913i 0.604143 + 0.613956i
\(293\) 24.5307 1.43310 0.716548 0.697537i \(-0.245721\pi\)
0.716548 + 0.697537i \(0.245721\pi\)
\(294\) 9.94148 0.243569i 0.579799 0.0142052i
\(295\) −6.10016 3.88043i −0.355165 0.225927i
\(296\) −6.53367 + 15.2498i −0.379762 + 0.886378i
\(297\) −17.9479 + 9.30443i −1.04144 + 0.539898i
\(298\) −1.99419 26.7138i −0.115520 1.54749i
\(299\) −30.5481 −1.76664
\(300\) −16.8934 + 3.82268i −0.975341 + 0.220702i
\(301\) 4.54280 0.261842
\(302\) 1.04990 + 14.0642i 0.0604148 + 0.809307i
\(303\) −1.42174 + 28.4018i −0.0816771 + 1.63164i
\(304\) 9.49092 6.66461i 0.544342 0.382242i
\(305\) 11.0924 9.15651i 0.635150 0.524300i
\(306\) −5.64359 19.0065i −0.322623 1.08653i
\(307\) 32.3661 1.84723 0.923615 0.383322i \(-0.125220\pi\)
0.923615 + 0.383322i \(0.125220\pi\)
\(308\) −9.51030 + 9.35829i −0.541900 + 0.533238i
\(309\) −1.23796 + 3.24773i −0.0704251 + 0.184757i
\(310\) −19.0045 + 9.19043i −1.07939 + 0.521981i
\(311\) −2.77894 + 2.01902i −0.157579 + 0.114488i −0.663781 0.747927i \(-0.731049\pi\)
0.506201 + 0.862415i \(0.331049\pi\)
\(312\) 9.79201 20.0250i 0.554363 1.13370i
\(313\) 4.48646 6.17508i 0.253590 0.349036i −0.663175 0.748465i \(-0.730791\pi\)
0.916764 + 0.399428i \(0.130791\pi\)
\(314\) −2.17746 29.1689i −0.122881 1.64610i
\(315\) −11.4941 0.440090i −0.647620 0.0247962i
\(316\) 7.55354 + 1.25882i 0.424920 + 0.0708142i
\(317\) −5.92659 18.2402i −0.332870 1.02447i −0.967762 0.251868i \(-0.918955\pi\)
0.634891 0.772601i \(-0.281045\pi\)
\(318\) −0.305417 + 1.02473i −0.0171269 + 0.0574639i
\(319\) −29.0309 + 9.43270i −1.62542 + 0.528130i
\(320\) 15.6223 8.71459i 0.873313 0.487160i
\(321\) −1.39900 + 27.9474i −0.0780845 + 1.55987i
\(322\) −10.5233 12.4222i −0.586440 0.692260i
\(323\) −7.96387 10.9613i −0.443121 0.609904i
\(324\) 17.9766 + 0.918364i 0.998698 + 0.0510202i
\(325\) −11.0028 + 19.9130i −0.610323 + 1.10458i
\(326\) 1.70905 + 1.05680i 0.0946554 + 0.0585306i
\(327\) −4.86160 3.91802i −0.268847 0.216667i
\(328\) −7.11199 + 16.5997i −0.392694 + 0.916563i
\(329\) 9.86207 + 3.20438i 0.543714 + 0.176663i
\(330\) −16.0969 + 13.9643i −0.886103 + 0.768712i
\(331\) −32.9843 + 10.7173i −1.81298 + 0.589074i −0.813005 + 0.582256i \(0.802170\pi\)
−0.999977 + 0.00681739i \(0.997830\pi\)
\(332\) −7.92180 + 3.95630i −0.434765 + 0.217130i
\(333\) −11.7132 + 13.1321i −0.641881 + 0.719635i
\(334\) −4.85450 + 1.98793i −0.265626 + 0.108775i
\(335\) −4.67145 11.8357i −0.255228 0.646651i
\(336\) 11.5162 2.91644i 0.628262 0.159105i
\(337\) 4.45334 6.12949i 0.242589 0.333895i −0.670310 0.742081i \(-0.733839\pi\)
0.912898 + 0.408187i \(0.133839\pi\)
\(338\) −4.12857 10.0819i −0.224565 0.548385i
\(339\) 2.20771 + 1.77921i 0.119906 + 0.0966337i
\(340\) −10.4739 18.0851i −0.568029 0.980800i
\(341\) −15.2662 + 21.0121i −0.826709 + 1.13787i
\(342\) 11.7918 3.50135i 0.637629 0.189331i
\(343\) 18.9642 1.02397
\(344\) −7.30699 + 1.66113i −0.393966 + 0.0895623i
\(345\) −15.5296 20.8551i −0.836088 1.12280i
\(346\) −4.74767 + 4.02194i −0.255236 + 0.216221i
\(347\) −3.68048 1.19586i −0.197579 0.0641972i 0.208556 0.978010i \(-0.433124\pi\)
−0.406135 + 0.913813i \(0.633124\pi\)
\(348\) 26.5518 + 5.80247i 1.42332 + 0.311045i
\(349\) 3.21314 0.171996 0.0859978 0.996295i \(-0.472592\pi\)
0.0859978 + 0.996295i \(0.472592\pi\)
\(350\) −11.8878 + 2.38551i −0.635428 + 0.127511i
\(351\) 16.6003 16.8353i 0.886057 0.898603i
\(352\) 11.8751 18.5302i 0.632946 0.987662i
\(353\) −2.76172 + 8.49969i −0.146991 + 0.452393i −0.997262 0.0739533i \(-0.976438\pi\)
0.850270 + 0.526346i \(0.176438\pi\)
\(354\) 6.51937 + 4.49682i 0.346500 + 0.239004i
\(355\) −6.45822 + 25.0420i −0.342767 + 1.32909i
\(356\) 5.87562 + 5.97106i 0.311407 + 0.316465i
\(357\) −3.62358 13.3977i −0.191780 0.709082i
\(358\) 6.39763 26.1830i 0.338125 1.38382i
\(359\) −3.56093 2.58717i −0.187939 0.136545i 0.489837 0.871814i \(-0.337056\pi\)
−0.677776 + 0.735268i \(0.737056\pi\)
\(360\) 18.6490 3.49511i 0.982887 0.184208i
\(361\) −8.57079 + 6.22704i −0.451094 + 0.327739i
\(362\) 4.80402 + 11.7314i 0.252494 + 0.616587i
\(363\) −2.55224 + 6.69567i −0.133958 + 0.351432i
\(364\) 7.19591 13.8459i 0.377168 0.725722i
\(365\) 10.4760 + 12.6909i 0.548338 + 0.664271i
\(366\) −12.5164 + 9.57074i −0.654245 + 0.500271i
\(367\) −9.36488 28.8221i −0.488843 1.50450i −0.826337 0.563176i \(-0.809579\pi\)
0.337494 0.941328i \(-0.390421\pi\)
\(368\) 21.4688 + 16.1328i 1.11914 + 0.840980i
\(369\) −12.7500 + 14.2945i −0.663739 + 0.744141i
\(370\) −8.76296 + 16.3483i −0.455565 + 0.849910i
\(371\) −0.231304 + 0.711881i −0.0120087 + 0.0369590i
\(372\) 21.1791 9.28494i 1.09808 0.481402i
\(373\) 6.74381 + 9.28206i 0.349181 + 0.480607i 0.947095 0.320954i \(-0.104003\pi\)
−0.597913 + 0.801561i \(0.704003\pi\)
\(374\) −21.8694 13.5231i −1.13084 0.699262i
\(375\) −19.1880 + 2.61159i −0.990864 + 0.134862i
\(376\) −17.0347 1.54798i −0.878495 0.0798310i
\(377\) 28.8811 20.9833i 1.48745 1.08070i
\(378\) 12.5645 + 0.950902i 0.646247 + 0.0489091i
\(379\) 25.6314 + 8.32816i 1.31660 + 0.427789i 0.881325 0.472510i \(-0.156652\pi\)
0.435273 + 0.900299i \(0.356652\pi\)
\(380\) 11.2202 6.49815i 0.575583 0.333348i
\(381\) −6.21131 + 4.05440i −0.318215 + 0.207713i
\(382\) 22.9354 + 14.1822i 1.17348 + 0.725625i
\(383\) 9.80485 3.18579i 0.501004 0.162786i −0.0476029 0.998866i \(-0.515158\pi\)
0.548607 + 0.836080i \(0.315158\pi\)
\(384\) −17.4572 + 8.90209i −0.890858 + 0.454283i
\(385\) −11.5042 + 9.49643i −0.586309 + 0.483983i
\(386\) −0.824451 11.0442i −0.0419635 0.562135i
\(387\) −7.90825 0.793736i −0.401999 0.0403479i
\(388\) 18.1398 + 3.02305i 0.920908 + 0.153472i
\(389\) 3.00172 + 4.13151i 0.152193 + 0.209476i 0.878305 0.478101i \(-0.158675\pi\)
−0.726112 + 0.687577i \(0.758675\pi\)
\(390\) 12.8573 21.3494i 0.651055 1.08107i
\(391\) 18.4413 25.3823i 0.932618 1.28364i
\(392\) −11.1972 + 2.54551i −0.565543 + 0.128568i
\(393\) −4.13869 15.3023i −0.208769 0.771898i
\(394\) −6.12939 + 25.0852i −0.308794 + 1.26377i
\(395\) 8.29033 + 2.13804i 0.417132 + 0.107576i
\(396\) 18.1910 14.6295i 0.914130 0.735162i
\(397\) 13.9797 + 4.54229i 0.701622 + 0.227971i 0.638037 0.770006i \(-0.279747\pi\)
0.0635851 + 0.997976i \(0.479747\pi\)
\(398\) 0.962450 + 12.8928i 0.0482433 + 0.646258i
\(399\) 8.31210 2.24811i 0.416125 0.112546i
\(400\) 18.2489 8.18396i 0.912446 0.409198i
\(401\) 2.64584i 0.132127i −0.997815 0.0660636i \(-0.978956\pi\)
0.997815 0.0660636i \(-0.0210440\pi\)
\(402\) 4.63068 + 13.1470i 0.230957 + 0.655711i
\(403\) 9.38632 28.8881i 0.467566 1.43902i
\(404\) −4.87535 32.4727i −0.242558 1.61558i
\(405\) 19.9325 + 2.77442i 0.990451 + 0.137862i
\(406\) 18.4818 + 4.51589i 0.917235 + 0.224120i
\(407\) 22.8211i 1.13120i
\(408\) 10.7275 + 20.2249i 0.531091 + 1.00128i
\(409\) 14.9357 + 10.8514i 0.738522 + 0.536568i 0.892248 0.451546i \(-0.149127\pi\)
−0.153726 + 0.988114i \(0.549127\pi\)
\(410\) −9.53861 + 17.7954i −0.471078 + 0.878852i
\(411\) −2.77610 2.23729i −0.136935 0.110357i
\(412\) 0.659739 3.95876i 0.0325030 0.195034i
\(413\) 4.48523 + 3.25871i 0.220704 + 0.160351i
\(414\) 16.1488 + 23.4636i 0.793672 + 1.15317i
\(415\) −9.20863 + 3.63458i −0.452034 + 0.178415i
\(416\) −6.51154 + 24.9021i −0.319254 + 1.22093i
\(417\) −12.5501 19.2267i −0.614583 0.941537i
\(418\) 8.38987 13.5680i 0.410362 0.663635i
\(419\) 8.75744 + 26.9526i 0.427829 + 1.31672i 0.900259 + 0.435354i \(0.143377\pi\)
−0.472431 + 0.881368i \(0.656623\pi\)
\(420\) 13.1107 2.12617i 0.639737 0.103747i
\(421\) 8.14212 25.0589i 0.396823 1.22130i −0.530710 0.847553i \(-0.678075\pi\)
0.927533 0.373742i \(-0.121925\pi\)
\(422\) −9.67109 11.4162i −0.470781 0.555731i
\(423\) −16.6083 7.30143i −0.807525 0.355008i
\(424\) 0.111739 1.22963i 0.00542652 0.0597159i
\(425\) −9.90353 21.1633i −0.480392 1.02657i
\(426\) 8.09183 27.1495i 0.392050 1.31540i
\(427\) −8.92326 + 6.48313i −0.431827 + 0.313740i
\(428\) −4.79734 31.9531i −0.231888 1.54451i
\(429\) 1.53298 30.6239i 0.0740131 1.47854i
\(430\) −8.30023 + 1.13817i −0.400273 + 0.0548876i
\(431\) −3.32255 10.2258i −0.160042 0.492558i 0.838595 0.544755i \(-0.183377\pi\)
−0.998637 + 0.0521977i \(0.983377\pi\)
\(432\) −20.5574 + 3.06486i −0.989068 + 0.147458i
\(433\) 9.98008 3.24273i 0.479612 0.155835i −0.0592263 0.998245i \(-0.518863\pi\)
0.538838 + 0.842409i \(0.318863\pi\)
\(434\) 14.9806 6.13459i 0.719091 0.294470i
\(435\) 29.0074 + 9.04978i 1.39080 + 0.433904i
\(436\) 6.39741 + 3.32483i 0.306380 + 0.159230i
\(437\) 15.7475 + 11.4412i 0.753304 + 0.547308i
\(438\) −10.9499 14.3201i −0.523207 0.684240i
\(439\) −11.4481 15.7569i −0.546387 0.752038i 0.443129 0.896458i \(-0.353868\pi\)
−0.989516 + 0.144420i \(0.953868\pi\)
\(440\) 15.0318 19.4815i 0.716612 0.928743i
\(441\) −12.1185 1.21632i −0.577073 0.0579198i
\(442\) 29.2118 + 7.13770i 1.38946 + 0.339506i
\(443\) 7.92770i 0.376656i 0.982106 + 0.188328i \(0.0603068\pi\)
−0.982106 + 0.188328i \(0.939693\pi\)
\(444\) 10.2599 17.5386i 0.486916 0.832345i
\(445\) 5.96235 + 7.22294i 0.282643 + 0.342400i
\(446\) −14.3304 + 12.1398i −0.678562 + 0.574836i
\(447\) −1.64029 + 32.7676i −0.0775830 + 1.54985i
\(448\) −12.3694 + 5.93048i −0.584398 + 0.280189i
\(449\) 9.06424i 0.427768i 0.976859 + 0.213884i \(0.0686114\pi\)
−0.976859 + 0.213884i \(0.931389\pi\)
\(450\) 21.1114 2.07569i 0.995201 0.0978491i
\(451\) 24.8411i 1.16972i
\(452\) −2.90513 1.50984i −0.136646 0.0710169i
\(453\) 0.863578 17.2514i 0.0405744 0.810544i
\(454\) −17.2951 20.4159i −0.811700 0.958166i
\(455\) 9.36376 14.7201i 0.438980 0.690091i
\(456\) −12.5478 + 6.65547i −0.587604 + 0.311671i
\(457\) 23.6543i 1.10650i −0.833015 0.553251i \(-0.813387\pi\)
0.833015 0.553251i \(-0.186613\pi\)
\(458\) −7.31833 + 29.9511i −0.341963 + 1.39952i
\(459\) 3.96714 + 23.9563i 0.185170 + 1.11818i
\(460\) 22.3396 + 20.0602i 1.04159 + 0.935313i
\(461\) −14.4059 19.8280i −0.670948 0.923481i 0.328834 0.944388i \(-0.393344\pi\)
−0.999781 + 0.0209074i \(0.993344\pi\)
\(462\) 12.9811 9.92604i 0.603935 0.461801i
\(463\) 25.6661 + 18.6475i 1.19281 + 0.866624i 0.993558 0.113326i \(-0.0361503\pi\)
0.199247 + 0.979949i \(0.436150\pi\)
\(464\) −31.3788 0.505605i −1.45673 0.0234721i
\(465\) 24.4935 8.27777i 1.13586 0.383872i
\(466\) 6.43707 + 15.7192i 0.298191 + 0.728180i
\(467\) 25.1181 8.16136i 1.16233 0.377663i 0.336553 0.941665i \(-0.390739\pi\)
0.825774 + 0.564002i \(0.190739\pi\)
\(468\) −14.9461 + 22.8461i −0.690883 + 1.05606i
\(469\) 3.01519 + 9.27981i 0.139229 + 0.428502i
\(470\) −18.8220 3.38390i −0.868195 0.156088i
\(471\) −1.79104 + 35.7791i −0.0825267 + 1.64861i
\(472\) −8.40599 3.60148i −0.386917 0.165772i
\(473\) −8.33900 + 6.05864i −0.383428 + 0.278577i
\(474\) −8.98803 2.67885i −0.412834 0.123044i
\(475\) 13.1300 6.14426i 0.602444 0.281918i
\(476\) 7.16047 + 14.3376i 0.328200 + 0.657162i
\(477\) 0.527045 1.19885i 0.0241317 0.0548916i
\(478\) 14.3809 12.1826i 0.657768 0.557221i
\(479\) −0.407995 + 1.25568i −0.0186418 + 0.0573735i −0.959945 0.280190i \(-0.909603\pi\)
0.941303 + 0.337563i \(0.109603\pi\)
\(480\) −20.3108 + 8.21401i −0.927059 + 0.374916i
\(481\) −8.24747 25.3831i −0.376052 1.15737i
\(482\) −34.4804 21.3211i −1.57054 0.971150i
\(483\) 10.8989 + 16.6970i 0.495915 + 0.759739i
\(484\) 1.36015 8.16157i 0.0618250 0.370981i
\(485\) 19.9092 + 5.13448i 0.904029 + 0.233145i
\(486\) −21.7065 3.85068i −0.984627 0.174670i
\(487\) 8.41982 + 6.11735i 0.381538 + 0.277204i 0.761979 0.647601i \(-0.224228\pi\)
−0.380441 + 0.924805i \(0.624228\pi\)
\(488\) 11.9822 13.6909i 0.542410 0.619757i
\(489\) −1.91618 1.54427i −0.0866525 0.0698343i
\(490\) −12.7192 + 1.74413i −0.574596 + 0.0787917i
\(491\) −34.4436 25.0247i −1.55442 1.12935i −0.940406 0.340052i \(-0.889555\pi\)
−0.614011 0.789298i \(-0.710445\pi\)
\(492\) 11.1681 19.0910i 0.503497 0.860690i
\(493\) 36.6645i 1.65129i
\(494\) −4.42831 + 18.1233i −0.199239 + 0.815408i
\(495\) 21.6862 14.5216i 0.974721 0.652699i
\(496\) −21.8528 + 15.3452i −0.981218 + 0.689020i
\(497\) 6.12826 18.8608i 0.274890 0.846024i
\(498\) 10.2289 3.60286i 0.458368 0.161448i
\(499\) 8.19287i 0.366763i −0.983042 0.183382i \(-0.941296\pi\)
0.983042 0.183382i \(-0.0587044\pi\)
\(500\) 21.1227 7.33703i 0.944635 0.328122i
\(501\) 6.20189 1.67738i 0.277080 0.0749397i
\(502\) 3.92151 0.292742i 0.175026 0.0130657i
\(503\) −16.5943 5.39181i −0.739902 0.240409i −0.0852717 0.996358i \(-0.527176\pi\)
−0.654631 + 0.755949i \(0.727176\pi\)
\(504\) −14.4389 + 1.79236i −0.643159 + 0.0798381i
\(505\) −2.26605 36.6424i −0.100838 1.63057i
\(506\) 35.8843 + 8.76808i 1.59525 + 0.389789i
\(507\) 3.48361 + 12.8802i 0.154713 + 0.572031i
\(508\) 6.10491 6.00734i 0.270862 0.266532i
\(509\) −15.0814 + 20.7578i −0.668472 + 0.920073i −0.999725 0.0234694i \(-0.992529\pi\)
0.331253 + 0.943542i \(0.392529\pi\)
\(510\) 9.97744 + 23.5714i 0.441808 + 1.04376i
\(511\) −7.41736 10.2091i −0.328125 0.451625i
\(512\) 17.7273 14.0621i 0.783444 0.621462i
\(513\) −14.8628 + 2.46126i −0.656207 + 0.108667i
\(514\) 1.74137 0.129994i 0.0768086 0.00573377i
\(515\) 1.12053 4.34490i 0.0493765 0.191459i
\(516\) 9.13259 0.907159i 0.402040 0.0399355i
\(517\) −22.3770 + 7.27072i −0.984138 + 0.319766i
\(518\) 7.48075 12.0978i 0.328685 0.531548i
\(519\) 6.38148 4.16548i 0.280116 0.182844i
\(520\) −9.67878 + 27.1010i −0.424443 + 1.18846i
\(521\) 29.5575 + 9.60380i 1.29494 + 0.420750i 0.873817 0.486255i \(-0.161637\pi\)
0.421119 + 0.907005i \(0.361637\pi\)
\(522\) −31.3846 11.0906i −1.37367 0.485423i
\(523\) 10.9969 7.98970i 0.480860 0.349365i −0.320799 0.947147i \(-0.603951\pi\)
0.801658 + 0.597782i \(0.203951\pi\)
\(524\) 8.17837 + 16.3758i 0.357274 + 0.715378i
\(525\) 14.8096 1.09063i 0.646345 0.0475990i
\(526\) 2.28448 3.69444i 0.0996078 0.161085i
\(527\) 18.3367 + 25.2383i 0.798760 + 1.09940i
\(528\) −17.2502 + 20.7125i −0.750719 + 0.901398i
\(529\) −6.82111 + 20.9932i −0.296570 + 0.912748i
\(530\) 0.244263 1.35864i 0.0106101 0.0590158i
\(531\) −7.23867 6.45655i −0.314131 0.280191i
\(532\) −8.89521 + 4.44244i −0.385656 + 0.192604i
\(533\) −8.97749 27.6299i −0.388858 1.19678i
\(534\) −6.23209 8.15020i −0.269689 0.352694i
\(535\) −2.22980 36.0562i −0.0964025 1.55885i
\(536\) −8.24316 13.8238i −0.356050 0.597099i
\(537\) −11.7578 + 30.8460i −0.507386 + 1.33110i
\(538\) −25.1664 + 10.3057i −1.08500 + 0.444310i
\(539\) −12.7786 + 9.28422i −0.550414 + 0.399900i
\(540\) −23.1951 + 1.41055i −0.998156 + 0.0607004i
\(541\) −20.1317 14.6265i −0.865528 0.628843i 0.0638549 0.997959i \(-0.479661\pi\)
−0.929383 + 0.369116i \(0.879661\pi\)
\(542\) 9.17803 + 2.24259i 0.394230 + 0.0963274i
\(543\) −4.05354 14.9875i −0.173954 0.643174i
\(544\) −16.7602 20.4434i −0.718588 0.876503i
\(545\) 6.80135 + 4.32647i 0.291338 + 0.185325i
\(546\) −10.8512 + 15.7317i −0.464387 + 0.673255i
\(547\) −14.1711 + 43.6142i −0.605913 + 1.86481i −0.115525 + 0.993305i \(0.536855\pi\)
−0.490388 + 0.871504i \(0.663145\pi\)
\(548\) 3.65309 + 1.89856i 0.156052 + 0.0811027i
\(549\) 16.6667 9.72693i 0.711315 0.415135i
\(550\) 18.6403 20.2334i 0.794825 0.862757i
\(551\) −22.7471 −0.969058
\(552\) −23.6361 22.8714i −1.00602 0.973473i
\(553\) −6.24401 2.02880i −0.265522 0.0862734i
\(554\) 8.58479 + 10.1339i 0.364733 + 0.430547i
\(555\) 13.1362 18.5345i 0.557602 0.786744i
\(556\) 18.5953 + 18.8974i 0.788618 + 0.801427i
\(557\) 1.64373 0.0696470 0.0348235 0.999393i \(-0.488913\pi\)
0.0348235 + 0.999393i \(0.488913\pi\)
\(558\) −27.1506 + 8.06182i −1.14937 + 0.341284i
\(559\) 7.08561 9.75250i 0.299689 0.412487i
\(560\) −14.3546 + 5.40003i −0.606593 + 0.228193i
\(561\) 24.5199 + 19.7609i 1.03523 + 0.834305i
\(562\) −2.44133 + 0.999729i −0.102981 + 0.0421710i
\(563\) 22.6269 31.1432i 0.953609 1.31253i 0.00370279 0.999993i \(-0.498821\pi\)
0.949906 0.312536i \(-0.101179\pi\)
\(564\) 20.4661 + 4.47254i 0.861777 + 0.188328i
\(565\) −3.08857 1.96470i −0.129937 0.0826554i
\(566\) −7.88294 19.2500i −0.331345 0.809139i
\(567\) −15.1245 3.06692i −0.635168 0.128799i
\(568\) −2.96045 + 32.5781i −0.124218 + 1.36695i
\(569\) 23.3776 7.59583i 0.980038 0.318434i 0.225177 0.974318i \(-0.427704\pi\)
0.754862 + 0.655884i \(0.227704\pi\)
\(570\) −14.6240 + 6.19012i −0.612530 + 0.259276i
\(571\) 0.818132 + 0.265827i 0.0342377 + 0.0111245i 0.326086 0.945340i \(-0.394270\pi\)
−0.291848 + 0.956465i \(0.594270\pi\)
\(572\) 5.25679 + 35.0133i 0.219797 + 1.46398i
\(573\) −25.7151 20.7241i −1.07426 0.865760i
\(574\) 8.14290 13.1687i 0.339878 0.549649i
\(575\) 22.9268 + 24.5194i 0.956115 + 1.02253i
\(576\) 22.5692 8.16274i 0.940384 0.340114i
\(577\) −3.71496 5.11320i −0.154656 0.212865i 0.724658 0.689109i \(-0.241998\pi\)
−0.879313 + 0.476244i \(0.841998\pi\)
\(578\) −5.22121 + 4.42309i −0.217174 + 0.183976i
\(579\) −0.678140 + 13.5470i −0.0281826 + 0.562994i
\(580\) −34.8998 3.62057i −1.44914 0.150336i
\(581\) 7.22008 2.34595i 0.299540 0.0973263i
\(582\) −21.5847 6.43325i −0.894715 0.266667i
\(583\) −0.524828 1.61525i −0.0217361 0.0668970i
\(584\) 15.6638 + 13.7089i 0.648171 + 0.567278i
\(585\) −18.8727 + 23.9892i −0.780290 + 0.991832i
\(586\) 34.5953 2.58255i 1.42912 0.106684i
\(587\) −11.8333 + 16.2871i −0.488411 + 0.672240i −0.980094 0.198534i \(-0.936382\pi\)
0.491683 + 0.870774i \(0.336382\pi\)
\(588\) 13.9947 1.39012i 0.577133 0.0573278i
\(589\) −15.6582 + 11.3763i −0.645183 + 0.468753i
\(590\) −9.01151 4.83031i −0.370998 0.198861i
\(591\) 11.2648 29.5527i 0.463373 1.21563i
\(592\) −7.60889 + 22.1945i −0.312724 + 0.912190i
\(593\) −28.7072 −1.17886 −0.589431 0.807819i \(-0.700648\pi\)
−0.589431 + 0.807819i \(0.700648\pi\)
\(594\) −24.3322 + 15.0115i −0.998363 + 0.615928i
\(595\) 6.57819 + 16.6666i 0.269680 + 0.683265i
\(596\) −5.62476 37.4642i −0.230399 1.53459i
\(597\) 0.791649 15.8145i 0.0324000 0.647246i
\(598\) −43.0816 + 3.21605i −1.76174 + 0.131514i
\(599\) −21.4526 −0.876531 −0.438265 0.898846i \(-0.644407\pi\)
−0.438265 + 0.898846i \(0.644407\pi\)
\(600\) −23.4221 + 7.16959i −0.956205 + 0.292697i
\(601\) 33.5230 1.36743 0.683717 0.729747i \(-0.260362\pi\)
0.683717 + 0.729747i \(0.260362\pi\)
\(602\) 6.40666 0.478258i 0.261116 0.0194923i
\(603\) −3.62754 16.6814i −0.147725 0.679320i
\(604\) 2.96132 + 19.7241i 0.120494 + 0.802563i
\(605\) 2.31014 8.95767i 0.0939206 0.364181i
\(606\) 0.985018 + 40.2044i 0.0400136 + 1.63319i
\(607\) 47.6566 1.93432 0.967161 0.254163i \(-0.0817999\pi\)
0.967161 + 0.254163i \(0.0817999\pi\)
\(608\) 12.6833 10.3982i 0.514376 0.421704i
\(609\) −21.7732 8.29946i −0.882295 0.336311i
\(610\) 14.6795 14.0811i 0.594358 0.570128i
\(611\) 22.2615 16.1739i 0.900604 0.654327i
\(612\) −9.96006 26.2105i −0.402612 1.05949i
\(613\) −5.00125 + 6.88363i −0.201999 + 0.278027i −0.897983 0.440029i \(-0.854968\pi\)
0.695985 + 0.718056i \(0.254968\pi\)
\(614\) 45.6455 3.40745i 1.84210 0.137513i
\(615\) 14.2990 20.1750i 0.576590 0.813535i
\(616\) −12.4270 + 14.1991i −0.500700 + 0.572099i
\(617\) 10.3438 + 31.8349i 0.416425 + 1.28163i 0.910970 + 0.412473i \(0.135335\pi\)
−0.494544 + 0.869152i \(0.664665\pi\)
\(618\) −1.40397 + 4.71056i −0.0564759 + 0.189487i
\(619\) 46.0728 14.9700i 1.85182 0.601693i 0.855321 0.518098i \(-0.173360\pi\)
0.996500 0.0835952i \(-0.0266403\pi\)
\(620\) −25.8343 + 14.9619i −1.03753 + 0.600886i
\(621\) −16.0557 30.9710i −0.644294 1.24282i
\(622\) −3.70656 + 3.13997i −0.148619 + 0.125901i
\(623\) −4.22155 5.81047i −0.169133 0.232791i
\(624\) 11.7014 29.2720i 0.468430 1.17182i
\(625\) 24.2409 6.11372i 0.969637 0.244549i
\(626\) 5.67710 9.18098i 0.226903 0.366946i
\(627\) −12.2599 + 15.2124i −0.489612 + 0.607526i
\(628\) −6.14170 40.9073i −0.245081 1.63238i
\(629\) 26.0696 + 8.47053i 1.03946 + 0.337742i
\(630\) −16.2564 + 0.589428i −0.647669 + 0.0234834i
\(631\) 4.13279 1.34282i 0.164524 0.0534570i −0.225597 0.974221i \(-0.572433\pi\)
0.390121 + 0.920764i \(0.372433\pi\)
\(632\) 10.7852 + 0.980078i 0.429013 + 0.0389854i
\(633\) 10.0162 + 15.3448i 0.398110 + 0.609902i
\(634\) −10.2785 25.1000i −0.408211 0.996847i
\(635\) 7.38486 6.09601i 0.293059 0.241913i
\(636\) −0.322845 + 1.47732i −0.0128016 + 0.0585794i
\(637\) 10.8579 14.9447i 0.430207 0.592129i
\(638\) −39.9489 + 16.3592i −1.58159 + 0.647666i
\(639\) −13.9637 + 31.7628i −0.552396 + 1.25652i
\(640\) 21.1145 13.9348i 0.834624 0.550821i
\(641\) −17.7570 + 24.4404i −0.701360 + 0.965339i 0.298580 + 0.954385i \(0.403487\pi\)
−0.999940 + 0.0109543i \(0.996513\pi\)
\(642\) 0.969259 + 39.5612i 0.0382536 + 1.56135i
\(643\) 22.6274 0.892338 0.446169 0.894949i \(-0.352788\pi\)
0.446169 + 0.894949i \(0.352788\pi\)
\(644\) −16.1487 16.4110i −0.636347 0.646683i
\(645\) 10.2601 0.120531i 0.403991 0.00474590i
\(646\) −12.3853 14.6202i −0.487295 0.575225i
\(647\) −22.6493 7.35921i −0.890437 0.289320i −0.172153 0.985070i \(-0.555072\pi\)
−0.718284 + 0.695750i \(0.755072\pi\)
\(648\) 25.4488 0.597382i 0.999725 0.0234674i
\(649\) −12.5794 −0.493785
\(650\) −13.4207 + 29.2415i −0.526401 + 1.14695i
\(651\) −19.1385 + 5.17625i −0.750098 + 0.202873i
\(652\) 2.52151 + 1.31047i 0.0987500 + 0.0513218i
\(653\) 2.82514 8.69488i 0.110556 0.340257i −0.880438 0.474161i \(-0.842751\pi\)
0.990994 + 0.133904i \(0.0427514\pi\)
\(654\) −7.26874 5.01372i −0.284230 0.196052i
\(655\) 7.51332 + 19.0359i 0.293570 + 0.743793i
\(656\) −8.28239 + 24.1591i −0.323373 + 0.943253i
\(657\) 11.1286 + 19.0684i 0.434168 + 0.743928i
\(658\) 14.2457 + 3.48084i 0.555356 + 0.135697i
\(659\) 12.4889 + 9.07375i 0.486500 + 0.353463i 0.803837 0.594850i \(-0.202788\pi\)
−0.317336 + 0.948313i \(0.602788\pi\)
\(660\) −21.2311 + 21.3884i −0.826419 + 0.832543i
\(661\) −8.42635 + 6.12210i −0.327747 + 0.238122i −0.739474 0.673185i \(-0.764926\pi\)
0.411727 + 0.911307i \(0.364926\pi\)
\(662\) −45.3891 + 18.5870i −1.76410 + 0.722403i
\(663\) −34.4142 13.1179i −1.33654 0.509458i
\(664\) −10.7555 + 6.41353i −0.417395 + 0.248893i
\(665\) −10.3402 + 4.08119i −0.400974 + 0.158262i
\(666\) −15.1365 + 19.7532i −0.586528 + 0.765422i
\(667\) −16.2771 50.0957i −0.630251 1.93971i
\(668\) −6.63696 + 3.31463i −0.256792 + 0.128247i
\(669\) 19.2619 12.5731i 0.744707 0.486103i
\(670\) −7.83413 16.1999i −0.302659 0.625856i
\(671\) 7.73359 23.8015i 0.298552 0.918849i
\(672\) 15.9342 5.32543i 0.614674 0.205433i
\(673\) −23.3216 32.0995i −0.898983 1.23734i −0.970791 0.239925i \(-0.922877\pi\)
0.0718087 0.997418i \(-0.477123\pi\)
\(674\) 5.63519 9.11320i 0.217060 0.351027i
\(675\) −25.9716 0.688995i −0.999648 0.0265194i
\(676\) −6.88389 13.7838i −0.264765 0.530146i
\(677\) −27.3849 + 19.8963i −1.05249 + 0.764676i −0.972684 0.232134i \(-0.925429\pi\)
−0.0798029 + 0.996811i \(0.525429\pi\)
\(678\) 3.30082 + 2.27678i 0.126767 + 0.0874394i
\(679\) −14.9949 4.87215i −0.575453 0.186976i
\(680\) −16.6753 24.4025i −0.639467 0.935793i
\(681\) 17.9124 + 27.4416i 0.686403 + 1.05157i
\(682\) −19.3176 + 31.2403i −0.739709 + 1.19625i
\(683\) −17.4405 + 5.66677i −0.667343 + 0.216833i −0.623046 0.782186i \(-0.714105\pi\)
−0.0442974 + 0.999018i \(0.514105\pi\)
\(684\) 16.2613 6.17934i 0.621765 0.236273i
\(685\) 3.88375 + 2.47053i 0.148390 + 0.0943940i
\(686\) 26.7451 1.99652i 1.02113 0.0762276i
\(687\) 13.4499 35.2851i 0.513145 1.34621i
\(688\) −10.1301 + 3.11195i −0.386206 + 0.118642i
\(689\) 1.16749 + 1.60692i 0.0444780 + 0.0612187i
\(690\) −24.0969 27.7767i −0.917352 1.05744i
\(691\) −25.7183 + 35.3982i −0.978370 + 1.34661i −0.0406676 + 0.999173i \(0.512948\pi\)
−0.937703 + 0.347439i \(0.887052\pi\)
\(692\) −6.27217 + 6.17192i −0.238432 + 0.234621i
\(693\) −17.2854 + 10.0880i −0.656617 + 0.383212i
\(694\) −5.31644 1.29904i −0.201809 0.0493107i
\(695\) 18.8698 + 22.8594i 0.715774 + 0.867106i
\(696\) 38.0565 + 5.38784i 1.44253 + 0.204226i
\(697\) 28.3771 + 9.22029i 1.07486 + 0.349244i
\(698\) 4.53146 0.338274i 0.171518 0.0128039i
\(699\) −5.43148 20.0822i −0.205437 0.759579i
\(700\) −16.5140 + 4.61578i −0.624172 + 0.174460i
\(701\) 16.2743i 0.614670i 0.951601 + 0.307335i \(0.0994373\pi\)
−0.951601 + 0.307335i \(0.900563\pi\)
\(702\) 21.6388 25.4903i 0.816703 0.962070i
\(703\) −5.25522 + 16.1739i −0.198204 + 0.610010i
\(704\) 14.7965 27.3831i 0.557665 1.03204i
\(705\) 22.3589 + 6.97556i 0.842085 + 0.262715i
\(706\) −2.99999 + 12.2778i −0.112906 + 0.462080i
\(707\) 28.1524i 1.05878i
\(708\) 9.66761 + 5.65548i 0.363331 + 0.212546i
\(709\) −12.8901 9.36519i −0.484097 0.351717i 0.318813 0.947818i \(-0.396716\pi\)
−0.802910 + 0.596101i \(0.796716\pi\)
\(710\) −6.47158 + 35.9964i −0.242874 + 1.35092i
\(711\) 10.5153 + 4.62278i 0.394354 + 0.173368i
\(712\) 8.91495 + 7.80234i 0.334102 + 0.292405i
\(713\) −36.2584 26.3433i −1.35789 0.986564i
\(714\) −6.52078 18.5132i −0.244034 0.692838i
\(715\) 2.44335 + 39.5093i 0.0913760 + 1.47757i
\(716\) 6.26601 37.5992i 0.234172 1.40515i
\(717\) −19.3298 + 12.6174i −0.721885 + 0.471206i
\(718\) −5.29431 3.27377i −0.197582 0.122176i
\(719\) −3.29376 10.1371i −0.122836 0.378052i 0.870664 0.491878i \(-0.163689\pi\)
−0.993501 + 0.113826i \(0.963689\pi\)
\(720\) 25.9325 6.89244i 0.966447 0.256866i
\(721\) −1.06328 + 3.27244i −0.0395986 + 0.121872i
\(722\) −11.4317 + 9.68425i −0.425445 + 0.360411i
\(723\) 38.6592 + 31.1559i 1.43775 + 1.15870i
\(724\) 8.01012 + 16.0389i 0.297694 + 0.596080i
\(725\) −38.5180 7.43302i −1.43052 0.276055i
\(726\) −2.89449 + 9.71153i −0.107425 + 0.360429i
\(727\) −8.33334 + 6.05452i −0.309066 + 0.224550i −0.731496 0.681846i \(-0.761177\pi\)
0.422429 + 0.906396i \(0.361177\pi\)
\(728\) 8.69065 20.2843i 0.322097 0.751786i
\(729\) 25.7933 + 7.98161i 0.955307 + 0.295615i
\(730\) 16.1103 + 16.7949i 0.596267 + 0.621608i
\(731\) 3.82587 + 11.7748i 0.141505 + 0.435508i
\(732\) −16.6442 + 14.8152i −0.615188 + 0.547587i
\(733\) 23.3696 7.59323i 0.863174 0.280462i 0.156221 0.987722i \(-0.450069\pi\)
0.706954 + 0.707260i \(0.250069\pi\)
\(734\) −16.2415 39.6617i −0.599486 1.46394i
\(735\) 15.7225 0.184701i 0.579933 0.00681280i
\(736\) 31.9757 + 20.4917i 1.17864 + 0.755334i
\(737\) −17.9112 13.0132i −0.659766 0.479348i
\(738\) −16.4763 + 21.5017i −0.606501 + 0.791487i
\(739\) −21.9622 30.2284i −0.807894 1.11197i −0.991645 0.128997i \(-0.958824\pi\)
0.183751 0.982973i \(-0.441176\pi\)
\(740\) −10.6372 + 23.9784i −0.391031 + 0.881465i
\(741\) 8.13851 21.3509i 0.298975 0.784346i
\(742\) −0.251260 + 1.02831i −0.00922406 + 0.0377504i
\(743\) 38.4719i 1.41140i −0.708511 0.705699i \(-0.750633\pi\)
0.708511 0.705699i \(-0.249367\pi\)
\(744\) 28.8911 15.3241i 1.05920 0.561810i
\(745\) −2.61438 42.2750i −0.0957834 1.54883i
\(746\) 10.4879 + 12.3804i 0.383990 + 0.453279i
\(747\) −12.9789 + 2.82238i −0.474871 + 0.103265i
\(748\) −32.2659 16.7691i −1.17976 0.613138i
\(749\) 27.7020i 1.01221i
\(750\) −26.7857 + 5.70318i −0.978075 + 0.208251i
\(751\) 7.49060i 0.273336i −0.990617 0.136668i \(-0.956361\pi\)
0.990617 0.136668i \(-0.0436393\pi\)
\(752\) −24.1868 0.389720i −0.882000 0.0142116i
\(753\) −4.81019 0.240790i −0.175293 0.00877488i
\(754\) 38.5216 32.6331i 1.40287 1.18843i
\(755\) 1.37642 + 22.2569i 0.0500929 + 0.810011i
\(756\) 17.8197 + 0.0182801i 0.648095 + 0.000664841i
\(757\) 19.4819i 0.708082i 0.935230 + 0.354041i \(0.115193\pi\)
−0.935230 + 0.354041i \(0.884807\pi\)
\(758\) 37.0245 + 9.04668i 1.34479 + 0.328590i
\(759\) −42.2750 16.1143i −1.53448 0.584912i
\(760\) 15.1396 10.3455i 0.549170 0.375271i
\(761\) −9.09576 12.5192i −0.329721 0.453822i 0.611683 0.791103i \(-0.290493\pi\)
−0.941404 + 0.337281i \(0.890493\pi\)
\(762\) −8.33291 + 6.37179i −0.301869 + 0.230826i
\(763\) −5.00079 3.63329i −0.181041 0.131534i
\(764\) 33.8386 + 17.5864i 1.22424 + 0.636255i
\(765\) −8.53947 30.1632i −0.308745 1.09055i
\(766\) 13.4923 5.52512i 0.487496 0.199631i
\(767\) 13.9916 4.54616i 0.505209 0.164152i
\(768\) −23.6825 + 14.3924i −0.854567 + 0.519340i
\(769\) −1.41299 4.34873i −0.0509536 0.156819i 0.922342 0.386375i \(-0.126273\pi\)
−0.973296 + 0.229555i \(0.926273\pi\)
\(770\) −15.2245 + 14.6039i −0.548653 + 0.526287i
\(771\) −2.13600 0.106924i −0.0769260 0.00385079i
\(772\) −2.32543 15.4887i −0.0836941 0.557452i
\(773\) 8.44554 6.13604i 0.303765 0.220698i −0.425452 0.904981i \(-0.639885\pi\)
0.729216 + 0.684283i