Properties

Label 300.2.r.a.59.2
Level $300$
Weight $2$
Character 300.59
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 59.2
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41029 - 0.105278i) q^{2} +(1.45041 - 0.946744i) q^{3} +(1.97783 + 0.296946i) q^{4} +(-2.23180 - 0.138020i) q^{5} +(-2.14516 + 1.18249i) q^{6} -1.71470 q^{7} +(-2.75806 - 0.627002i) q^{8} +(1.20735 - 2.74632i) q^{9} +O(q^{10})\) \(q+(-1.41029 - 0.105278i) q^{2} +(1.45041 - 0.946744i) q^{3} +(1.97783 + 0.296946i) q^{4} +(-2.23180 - 0.138020i) q^{5} +(-2.14516 + 1.18249i) q^{6} -1.71470 q^{7} +(-2.75806 - 0.627002i) q^{8} +(1.20735 - 2.74632i) q^{9} +(3.13296 + 0.429608i) q^{10} +(-3.14759 - 2.28686i) q^{11} +(3.14979 - 1.44181i) q^{12} +(-2.67449 - 3.68112i) q^{13} +(2.41822 + 0.180521i) q^{14} +(-3.36769 + 1.91276i) q^{15} +(3.82365 + 1.17462i) q^{16} +(1.44409 - 4.44446i) q^{17} +(-1.99184 + 3.74601i) q^{18} +(2.75739 + 0.895932i) q^{19} +(-4.37315 - 0.935705i) q^{20} +(-2.48701 + 1.62338i) q^{21} +(4.19826 + 3.55651i) q^{22} +(-3.94620 + 5.43148i) q^{23} +(-4.59391 + 1.70176i) q^{24} +(4.96190 + 0.616066i) q^{25} +(3.38427 + 5.47302i) q^{26} +(-0.848916 - 5.12634i) q^{27} +(-3.39139 - 0.509172i) q^{28} +(7.46173 - 2.42446i) q^{29} +(4.95079 - 2.34300i) q^{30} +(-6.34887 - 2.06287i) q^{31} +(-5.26879 - 2.05910i) q^{32} +(-6.73036 - 0.336910i) q^{33} +(-2.50449 + 6.11594i) q^{34} +(3.82687 + 0.236662i) q^{35} +(3.20345 - 5.07325i) q^{36} +(-3.44774 - 4.74541i) q^{37} +(-3.79440 - 1.55382i) q^{38} +(-7.36418 - 2.80706i) q^{39} +(6.06890 + 1.78001i) q^{40} +(3.75291 + 5.16544i) q^{41} +(3.67831 - 2.02761i) q^{42} -2.64933 q^{43} +(-5.54634 - 5.45769i) q^{44} +(-3.07362 + 5.96262i) q^{45} +(6.13711 - 7.24452i) q^{46} +(5.75149 - 1.86877i) q^{47} +(6.65790 - 1.91634i) 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} +(0.657525 + 7.31899i) 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} +(-7.22872 + 2.78310i) q^{60} +(5.20398 + 3.78091i) q^{61} +(8.73657 + 3.57765i) q^{62} +(-2.07024 + 4.70912i) q^{63} +(7.21374 + 3.45861i) q^{64} +(5.46088 + 8.58468i) q^{65} +(9.45628 + 1.18370i) q^{66} +(-1.75844 + 5.41192i) q^{67} +(4.17594 - 8.36158i) q^{68} +(-0.581372 + 11.6139i) q^{69} +(-5.37208 - 0.736649i) q^{70} +(3.57396 + 10.9995i) q^{71} +(-5.05190 + 6.81750i) q^{72} +(4.32575 - 5.95389i) q^{73} +(4.36272 + 7.05537i) q^{74} +(7.78003 - 3.80410i) q^{75} +(5.18762 + 2.59080i) q^{76} +(5.39717 + 3.92127i) q^{77} +(10.0901 + 4.73406i) q^{78} +(3.64146 - 1.18318i) q^{79} +(-8.37151 - 3.14926i) q^{80} +(-6.08460 - 6.63156i) q^{81} +(-4.74888 - 7.67987i) q^{82} +(4.21070 + 1.36814i) q^{83} +(-5.40094 + 2.47227i) q^{84} +(-3.83636 + 9.71985i) q^{85} +(3.73632 + 0.278917i) q^{86} +(8.52718 - 10.5808i) q^{87} +(7.24737 + 8.28083i) q^{88} +(-2.46198 + 3.38862i) q^{89} +(4.96243 - 8.08544i) 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} +(-9.59132 + 2.00166i) 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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

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
\(3\) 1.45041 0.946744i 0.837392 0.546603i
\(4\) 1.97783 + 0.296946i 0.988916 + 0.148473i
\(5\) −2.23180 0.138020i −0.998093 0.0617243i
\(6\) −2.14516 + 1.18249i −0.875759 + 0.482748i
\(7\) −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
\(9\) 1.20735 2.74632i 0.402451 0.915442i
\(10\) 3.13296 + 0.429608i 0.990729 + 0.135854i
\(11\) −3.14759 2.28686i −0.949035 0.689514i 0.00154353 0.999999i \(-0.499509\pi\)
−0.950578 + 0.310485i \(0.899509\pi\)
\(12\) 3.14979 1.44181i 0.909266 0.416215i
\(13\) −2.67449 3.68112i −0.741771 1.02096i −0.998515 0.0544806i \(-0.982650\pi\)
0.256744 0.966479i \(-0.417350\pi\)
\(14\) 2.41822 + 0.180521i 0.646297 + 0.0482461i
\(15\) −3.36769 + 1.91276i −0.869534 + 0.493873i
\(16\) 3.82365 + 1.17462i 0.955912 + 0.293655i
\(17\) 1.44409 4.44446i 0.350244 1.07794i −0.608472 0.793575i \(-0.708217\pi\)
0.958716 0.284365i \(-0.0917827\pi\)
\(18\) −1.99184 + 3.74601i −0.469482 + 0.882942i
\(19\) 2.75739 + 0.895932i 0.632590 + 0.205541i 0.607722 0.794150i \(-0.292084\pi\)
0.0248678 + 0.999691i \(0.492084\pi\)
\(20\) −4.37315 0.935705i −0.977866 0.209230i
\(21\) −2.48701 + 1.62338i −0.542710 + 0.354251i
\(22\) 4.19826 + 3.55651i 0.895072 + 0.758250i
\(23\) −3.94620 + 5.43148i −0.822841 + 1.13254i 0.166373 + 0.986063i \(0.446794\pi\)
−0.989214 + 0.146480i \(0.953206\pi\)
\(24\) −4.59391 + 1.70176i −0.937728 + 0.347371i
\(25\) 4.96190 + 0.616066i 0.992380 + 0.123213i
\(26\) 3.38427 + 5.47302i 0.663709 + 1.07335i
\(27\) −0.848916 5.12634i −0.163374 0.986564i
\(28\) −3.39139 0.509172i −0.640912 0.0962245i
\(29\) 7.46173 2.42446i 1.38561 0.450211i 0.481099 0.876666i \(-0.340238\pi\)
0.904509 + 0.426455i \(0.140238\pi\)
\(30\) 4.95079 2.34300i 0.903887 0.427772i
\(31\) −6.34887 2.06287i −1.14029 0.370503i −0.322813 0.946463i \(-0.604629\pi\)
−0.817478 + 0.575960i \(0.804629\pi\)
\(32\) −5.26879 2.05910i −0.931399 0.364001i
\(33\) −6.73036 0.336910i −1.17160 0.0586486i
\(34\) −2.50449 + 6.11594i −0.429517 + 1.04888i
\(35\) 3.82687 + 0.236662i 0.646859 + 0.0400032i
\(36\) 3.20345 5.07325i 0.533908 0.845542i
\(37\) −3.44774 4.74541i −0.566805 0.780140i 0.425367 0.905021i \(-0.360145\pi\)
−0.992172 + 0.124881i \(0.960145\pi\)
\(38\) −3.79440 1.55382i −0.615533 0.252062i
\(39\) −7.36418 2.80706i −1.17921 0.449490i
\(40\) 6.06890 + 1.78001i 0.959577 + 0.281445i
\(41\) 3.75291 + 5.16544i 0.586106 + 0.806706i 0.994348 0.106168i \(-0.0338580\pi\)
−0.408242 + 0.912874i \(0.633858\pi\)
\(42\) 3.67831 2.02761i 0.567575 0.312867i
\(43\) −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
\(45\) −3.07362 + 5.96262i −0.458188 + 0.888855i
\(46\) 6.13711 7.24452i 0.904867 1.06815i
\(47\) 5.75149 1.86877i 0.838941 0.272589i 0.142134 0.989847i \(-0.454603\pi\)
0.696807 + 0.717259i \(0.254603\pi\)
\(48\) 6.65790 1.91634i 0.960985 0.276600i
\(49\) −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 \(-0.109545\pi\)
−0.959894 + 0.280364i \(0.909545\pi\)
\(54\) 0.657525 + 7.31899i 0.0894778 + 0.995989i
\(55\) 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 \(-0.632502\pi\)
0.744891 + 0.667186i \(0.232502\pi\)
\(60\) −7.22872 + 2.78310i −0.933223 + 0.359297i
\(61\) 5.20398 + 3.78091i 0.666301 + 0.484096i 0.868785 0.495189i \(-0.164901\pi\)
−0.202484 + 0.979286i \(0.564901\pi\)
\(62\) 8.73657 + 3.57765i 1.10955 + 0.454362i
\(63\) −2.07024 + 4.70912i −0.260826 + 0.593293i
\(64\) 7.21374 + 3.45861i 0.901717 + 0.432327i
\(65\) 5.46088 + 8.58468i 0.677338 + 1.06480i
\(66\) 9.45628 + 1.18370i 1.16399 + 0.145704i
\(67\) −1.75844 + 5.41192i −0.214828 + 0.661171i 0.784338 + 0.620334i \(0.213003\pi\)
−0.999166 + 0.0408380i \(0.986997\pi\)
\(68\) 4.17594 8.36158i 0.506407 1.01399i
\(69\) −0.581372 + 11.6139i −0.0699890 + 1.39815i
\(70\) −5.37208 0.736649i −0.642086 0.0880464i
\(71\) 3.57396 + 10.9995i 0.424151 + 1.30540i 0.903805 + 0.427944i \(0.140762\pi\)
−0.479654 + 0.877457i \(0.659238\pi\)
\(72\) −5.05190 + 6.81750i −0.595372 + 0.803450i
\(73\) 4.32575 5.95389i 0.506291 0.696850i −0.476997 0.878905i \(-0.658275\pi\)
0.983288 + 0.182055i \(0.0582748\pi\)
\(74\) 4.36272 + 7.05537i 0.507156 + 0.820170i
\(75\) 7.78003 3.80410i 0.898360 0.439260i
\(76\) 5.18762 + 2.59080i 0.595061 + 0.297185i
\(77\) 5.39717 + 3.92127i 0.615065 + 0.446871i
\(78\) 10.0901 + 4.73406i 1.14248 + 0.536027i
\(79\) 3.64146 1.18318i 0.409696 0.133118i −0.0969156 0.995293i \(-0.530898\pi\)
0.506612 + 0.862174i \(0.330898\pi\)
\(80\) −8.37151 3.14926i −0.935963 0.352098i
\(81\) −6.08460 6.63156i −0.676067 0.736840i
\(82\) −4.74888 7.67987i −0.524426 0.848099i
\(83\) 4.21070 + 1.36814i 0.462185 + 0.150173i 0.530848 0.847467i \(-0.321873\pi\)
−0.0686635 + 0.997640i \(0.521873\pi\)
\(84\) −5.40094 + 2.47227i −0.589291 + 0.269747i
\(85\) −3.83636 + 9.71985i −0.416111 + 1.05427i
\(86\) 3.73632 + 0.278917i 0.402897 + 0.0300764i
\(87\) 8.52718 10.5808i 0.914210 1.13438i
\(88\) 7.24737 + 8.28083i 0.772572 + 0.882740i
\(89\) −2.46198 + 3.38862i −0.260969 + 0.359193i −0.919315 0.393522i \(-0.871256\pi\)
0.658346 + 0.752716i \(0.271256\pi\)
\(90\) 4.96243 8.08544i 0.523086 0.852280i
\(91\) 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
\(96\) −9.59132 + 2.00166i −0.978910 + 0.204294i
\(97\) 8.74495 2.84141i 0.887915 0.288501i 0.170675 0.985327i \(-0.445405\pi\)
0.717240 + 0.696826i \(0.245405\pi\)
\(98\) 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 \(-0.304277\pi\)
\(102\) 2.15770 + 11.2417i 0.213644 + 1.11310i
\(103\) 0.620098 + 1.90846i 0.0611000 + 0.188047i 0.976947 0.213480i \(-0.0684798\pi\)
−0.915847 + 0.401526i \(0.868480\pi\)
\(104\) 5.06833 + 11.8297i 0.496990 + 1.15999i
\(105\) 5.77457 3.27981i 0.563541 0.320077i
\(106\) 0.146533 + 0.599703i 0.0142326 + 0.0582483i
\(107\) 16.1556i 1.56182i −0.624642 0.780912i \(-0.714755\pi\)
0.624642 0.780912i \(-0.285245\pi\)
\(108\) −0.156769 10.3911i −0.0150851 0.999886i
\(109\) 2.91643 2.11891i 0.279343 0.202955i −0.439288 0.898346i \(-0.644769\pi\)
0.718631 + 0.695392i \(0.244769\pi\)
\(110\) −8.87883 8.51687i −0.846563 0.812052i
\(111\) −9.49330 3.61864i −0.901064 0.343466i
\(112\) −6.55640 2.01412i −0.619522 0.190316i
\(113\) 1.32438 0.962220i 0.124587 0.0905180i −0.523747 0.851874i \(-0.675466\pi\)
0.648334 + 0.761356i \(0.275466\pi\)
\(114\) −6.97449 + 1.33866i −0.653221 + 0.125377i
\(115\) 9.55681 11.5774i 0.891177 1.07959i
\(116\) 15.4780 2.57945i 1.43709 0.239496i
\(117\) −13.3386 + 2.90061i −1.23316 + 0.268162i
\(118\) −3.88905 + 2.40481i −0.358016 + 0.221381i
\(119\) −2.47618 + 7.62091i −0.226991 + 0.698608i
\(120\) 10.4876 3.16395i 0.957381 0.288828i
\(121\) 1.27842 + 3.93458i 0.116220 + 0.357690i
\(122\) −6.94107 5.88005i −0.628415 0.532355i
\(123\) 10.3336 + 3.93894i 0.931749 + 0.355162i
\(124\) −11.9445 5.96529i −1.07264 0.535699i
\(125\) −10.9890 2.05978i −0.982883 0.184232i
\(126\) 3.41541 6.42327i 0.304269 0.572230i
\(127\) 3.46459 + 2.51717i 0.307432 + 0.223363i 0.730794 0.682598i \(-0.239150\pi\)
−0.423362 + 0.905961i \(0.639150\pi\)
\(128\) −9.80934 5.63710i −0.867031 0.498254i
\(129\) −3.84260 + 2.50823i −0.338322 + 0.220838i
\(130\) −6.79764 12.6818i −0.596192 1.11227i
\(131\) −2.82819 + 8.70426i −0.247100 + 0.760495i 0.748184 + 0.663491i \(0.230926\pi\)
−0.995284 + 0.0970038i \(0.969074\pi\)
\(132\) −13.2115 2.66490i −1.14991 0.231950i
\(133\) −4.72810 1.53625i −0.409978 0.133210i
\(134\) 3.04967 7.44725i 0.263451 0.643344i
\(135\) 1.18708 + 11.5582i 0.102167 + 0.994767i
\(136\) −6.76957 + 11.3526i −0.580486 + 0.973479i
\(137\) −1.66536 + 1.20995i −0.142281 + 0.103373i −0.656649 0.754196i \(-0.728027\pi\)
0.514368 + 0.857570i \(0.328027\pi\)
\(138\) 2.04259 16.3178i 0.173877 1.38906i
\(139\) 7.79175 10.7244i 0.660887 0.909633i −0.338623 0.940922i \(-0.609961\pi\)
0.999510 + 0.0312888i \(0.00996117\pi\)
\(140\) 7.49864 + 1.60445i 0.633750 + 0.135601i
\(141\) 6.57274 8.15567i 0.553525 0.686831i
\(142\) −3.88230 15.8888i −0.325796 1.33335i
\(143\) 17.7029i 1.48039i
\(144\) 7.84237 9.08280i 0.653531 0.756900i
\(145\) −16.9877 + 4.38106i −1.41075 + 0.363827i
\(146\) −6.72738 + 7.94130i −0.556762 + 0.657227i
\(147\) −5.88837 + 3.84360i −0.485665 + 0.317015i
\(148\) −5.40992 10.4094i −0.444693 0.855648i
\(149\) 18.9421i 1.55179i −0.630860 0.775897i \(-0.717298\pi\)
0.630860 0.775897i \(-0.282702\pi\)
\(150\) −11.3726 + 4.54582i −0.928567 + 0.371165i
\(151\) 9.97260i 0.811558i −0.913971 0.405779i \(-0.867000\pi\)
0.913971 0.405779i \(-0.133000\pi\)
\(152\) −7.04329 4.19992i −0.571287 0.340659i
\(153\) −10.4624 9.33198i −0.845835 0.754446i
\(154\) −7.19875 6.09834i −0.580092 0.491418i
\(155\) 13.8847 + 5.48020i 1.11525 + 0.440180i
\(156\) −13.7316 7.73866i −1.09941 0.619589i
\(157\) 20.6829i 1.65068i 0.564639 + 0.825338i \(0.309015\pi\)
−0.564639 + 0.825338i \(0.690985\pi\)
\(158\) −5.26008 + 1.28526i −0.418469 + 0.102250i
\(159\) −0.588707 0.474445i −0.0466875 0.0376260i
\(160\) 11.4747 + 5.32270i 0.907155 + 0.420797i
\(161\) 6.76655 9.31336i 0.533279 0.733995i
\(162\) 7.88289 + 9.99300i 0.619338 + 0.785124i
\(163\) 1.14950 0.835159i 0.0900356 0.0654147i −0.541857 0.840471i \(-0.682278\pi\)
0.631892 + 0.775056i \(0.282278\pi\)
\(164\) 5.88878 + 11.3308i 0.459836 + 0.884786i
\(165\) 14.9743 + 1.68084i 1.16575 + 0.130853i
\(166\) −5.79427 2.37277i −0.449723 0.184163i
\(167\) 3.52777 + 1.14624i 0.272987 + 0.0886988i 0.442311 0.896862i \(-0.354159\pi\)
−0.169325 + 0.985560i \(0.554159\pi\)
\(168\) 7.87717 2.91801i 0.607737 0.225129i
\(169\) −2.38054 + 7.32654i −0.183118 + 0.563580i
\(170\) 6.43366 13.3039i 0.493439 1.02036i
\(171\) 5.78967 6.49100i 0.442747 0.496379i
\(172\) −5.23993 0.786706i −0.399541 0.0599858i
\(173\) 3.55951 + 2.58613i 0.270624 + 0.196620i 0.714818 0.699311i \(-0.246510\pi\)
−0.444193 + 0.895931i \(0.646510\pi\)
\(174\) −13.1397 + 14.0243i −0.996120 + 1.06318i
\(175\) −8.50816 1.05637i −0.643157 0.0798539i
\(176\) −9.34909 12.4414i −0.704714 0.937803i
\(177\) 1.99466 5.23289i 0.149928 0.393328i
\(178\) 3.82885 4.51975i 0.286985 0.338769i
\(179\) −5.88951 18.1260i −0.440203 1.35480i −0.887660 0.460499i \(-0.847670\pi\)
0.447458 0.894305i \(-0.352330\pi\)
\(180\) −7.84968 + 10.8804i −0.585081 + 0.810975i
\(181\) 2.77000 8.52519i 0.205893 0.633672i −0.793783 0.608201i \(-0.791891\pi\)
0.999676 0.0254712i \(-0.00810862\pi\)
\(182\) −5.80300 9.38457i −0.430147 0.695631i
\(183\) 11.1274 + 0.557021i 0.822564 + 0.0411762i
\(184\) 14.2894 12.5061i 1.05343 0.921959i
\(185\) 7.03972 + 11.0667i 0.517570 + 0.813638i
\(186\) 16.0587 3.08226i 1.17748 0.226002i
\(187\) −14.7093 + 10.6869i −1.07565 + 0.781504i
\(188\) 11.9304 1.98824i 0.870115 0.145007i
\(189\) 1.45563 + 8.79012i 0.105882 + 0.639387i
\(190\) 8.25391 + 3.99152i 0.598801 + 0.289575i
\(191\) −15.4262 + 11.2078i −1.11620 + 0.810969i −0.983629 0.180204i \(-0.942324\pi\)
−0.132574 + 0.991173i \(0.542324\pi\)
\(192\) 13.7373 1.81317i 0.991402 0.130854i
\(193\) 7.83116i 0.563699i 0.959459 + 0.281850i \(0.0909479\pi\)
−0.959459 + 0.281850i \(0.909052\pi\)
\(194\) −12.6320 + 3.08655i −0.906928 + 0.221601i
\(195\) 16.0480 + 7.28122i 1.14922 + 0.521419i
\(196\) −8.02963 1.20554i −0.573545 0.0861102i
\(197\) 5.64257 + 17.3661i 0.402017 + 1.23728i 0.923361 + 0.383934i \(0.125431\pi\)
−0.521344 + 0.853347i \(0.674569\pi\)
\(198\) 14.8361 7.23583i 1.05436 0.514228i
\(199\) 9.14196i 0.648057i −0.946047 0.324028i \(-0.894963\pi\)
0.946047 0.324028i \(-0.105037\pi\)
\(200\) −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
\(204\) −1.85947 16.0812i −0.130189 1.12591i
\(205\) −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
\(210\) −8.48911 + 4.01754i −0.585804 + 0.277237i
\(211\) −6.21858 + 8.55914i −0.428105 + 0.589236i −0.967517 0.252806i \(-0.918647\pi\)
0.539412 + 0.842042i \(0.318647\pi\)
\(212\) −0.143519 0.861182i −0.00985690 0.0591462i
\(213\) 15.5974 + 12.5701i 1.06872 + 0.861291i
\(214\) −1.70084 + 22.7841i −0.116267 + 1.55749i
\(215\) 5.91278 + 0.365659i 0.403248 + 0.0249378i
\(216\) −0.872869 + 14.6710i −0.0593912 + 0.998235i
\(217\) 10.8864 + 3.53721i 0.739017 + 0.240121i
\(218\) −4.33608 + 2.68124i −0.293677 + 0.181596i
\(219\) 0.637289 12.7309i 0.0430640 0.860277i
\(220\) 11.6251 + 12.9460i 0.783762 + 0.872819i
\(221\) −20.2228 + 6.57079i −1.36033 + 0.441999i
\(222\) 13.0073 + 6.10276i 0.872996 + 0.409591i
\(223\) −10.7440 7.80598i −0.719472 0.522727i 0.166743 0.986000i \(-0.446675\pi\)
−0.886216 + 0.463273i \(0.846675\pi\)
\(224\) 9.03438 + 3.53073i 0.603635 + 0.235907i
\(225\) 7.68268 12.8832i 0.512179 0.858879i
\(226\) −1.96906 + 1.21758i −0.130980 + 0.0809922i
\(227\) 11.1209 15.3066i 0.738118 1.01593i −0.260606 0.965445i \(-0.583922\pi\)
0.998725 0.0504878i \(-0.0160776\pi\)
\(228\) 9.97698 1.15364i 0.660742 0.0764016i
\(229\) −6.73708 20.7346i −0.445199 1.37018i −0.882265 0.470752i \(-0.843983\pi\)
0.437067 0.899429i \(-0.356017\pi\)
\(230\) −14.6967 + 15.3213i −0.969073 + 1.01026i
\(231\) 11.5405 + 0.577699i 0.759311 + 0.0380098i
\(232\) −22.1000 + 2.00828i −1.45094 + 0.131850i
\(233\) −3.71162 + 11.4232i −0.243156 + 0.748358i 0.752778 + 0.658274i \(0.228713\pi\)
−0.995934 + 0.0900833i \(0.971287\pi\)
\(234\) 19.1167 2.68644i 1.24970 0.175618i
\(235\) −13.0941 + 3.37692i −0.854167 + 0.220286i
\(236\) 5.73786 2.98205i 0.373503 0.194115i
\(237\) 4.16142 5.16362i 0.270314 0.335413i
\(238\) 4.29445 10.4870i 0.278368 0.679771i
\(239\) −10.7819 7.83352i −0.697424 0.506708i 0.181668 0.983360i \(-0.441850\pi\)
−0.879092 + 0.476652i \(0.841850\pi\)
\(240\) −15.1236 + 3.35798i −0.976226 + 0.216756i
\(241\) −23.1913 + 16.8495i −1.49388 + 1.08537i −0.521145 + 0.853468i \(0.674495\pi\)
−0.972739 + 0.231903i \(0.925505\pi\)
\(242\) −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
\(246\) −14.1587 6.64294i −0.902724 0.423539i
\(247\) −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 \(-0.527970\pi\)
−0.0877564 + 0.996142i \(0.527970\pi\)
\(252\) −5.49295 + 8.69910i −0.346023 + 0.547992i
\(253\) 24.8421 8.07168i 1.56181 0.507462i
\(254\) −4.62107 3.91468i −0.289952 0.245629i
\(255\) 3.63794 + 17.7298i 0.227817 + 1.11028i
\(256\) 13.2405 + 8.98265i 0.827534 + 0.561416i
\(257\) −1.23476 −0.0770224 −0.0385112 0.999258i \(-0.512262\pi\)
−0.0385112 + 0.999258i \(0.512262\pi\)
\(258\) 5.68324 3.13279i 0.353823 0.195039i
\(259\) 5.91183 + 8.13694i 0.367343 + 0.505605i
\(260\) 8.25152 + 18.6006i 0.511737 + 1.15356i
\(261\) 2.35057 23.4195i 0.145497 1.44963i
\(262\) 4.90493 11.9778i 0.303028 0.739990i
\(263\) −1.80536 2.48486i −0.111323 0.153223i 0.749720 0.661755i \(-0.230188\pi\)
−0.861043 + 0.508532i \(0.830188\pi\)
\(264\) 18.3514 + 5.14917i 1.12945 + 0.316909i
\(265\) 0.243758 + 0.945183i 0.0149740 + 0.0580622i
\(266\) 6.50626 + 2.66433i 0.398924 + 0.163360i
\(267\) −0.362710 + 7.24574i −0.0221975 + 0.443432i
\(268\) −5.08495 + 10.1817i −0.310613 + 0.621947i
\(269\) 18.2884 + 5.94228i 1.11507 + 0.362307i 0.807883 0.589343i \(-0.200613\pi\)
0.307183 + 0.951650i \(0.400613\pi\)
\(270\) −0.457301 16.4253i −0.0278305 0.999613i
\(271\) 6.35379 2.06447i 0.385966 0.125408i −0.109606 0.993975i \(-0.534959\pi\)
0.495571 + 0.868567i \(0.334959\pi\)
\(272\) 10.7422 15.2978i 0.651344 0.927565i
\(273\) 12.6273 + 4.81326i 0.764242 + 0.291312i
\(274\) 2.47602 1.53106i 0.149582 0.0924946i
\(275\) −14.2092 13.2863i −0.856846 0.801194i
\(276\) −4.59856 + 22.7977i −0.276801 + 1.37226i
\(277\) 5.52008 7.59774i 0.331670 0.456504i −0.610316 0.792158i \(-0.708957\pi\)
0.941985 + 0.335654i \(0.108957\pi\)
\(278\) −12.1177 + 14.3042i −0.726769 + 0.857911i
\(279\) −13.3307 + 14.9455i −0.798085 + 0.894761i
\(280\) −10.4063 3.05218i −0.621897 0.182403i
\(281\) 1.77411 + 0.576444i 0.105835 + 0.0343878i 0.361456 0.932389i \(-0.382280\pi\)
−0.255621 + 0.966777i \(0.582280\pi\)
\(282\) −10.1281 + 10.8099i −0.603119 + 0.643719i
\(283\) −4.54531 + 13.9890i −0.270190 + 0.831560i 0.720262 + 0.693703i \(0.244022\pi\)
−0.990452 + 0.137858i \(0.955978\pi\)
\(284\) 3.80243 + 22.8165i 0.225633 + 1.35391i
\(285\) −10.9998 + 2.25702i −0.651569 + 0.133694i
\(286\) 1.86373 24.9662i 0.110205 1.47628i
\(287\) −6.43511 8.85717i −0.379853 0.522822i
\(288\) −12.0162 + 11.9837i −0.708063 + 0.706149i
\(289\) −3.91454 2.84408i −0.230267 0.167299i
\(290\) 24.4189 4.39012i 1.43392 0.257797i
\(291\) 9.99363 12.4004i 0.585837 0.726925i
\(292\) 10.3236 10.4913i 0.604143 0.613956i
\(293\) −24.5307 −1.43310 −0.716548 0.697537i \(-0.754279\pi\)
−0.716548 + 0.697537i \(0.754279\pi\)
\(294\) 8.70896 4.80067i 0.507917 0.279981i
\(295\) −6.10016 + 3.88043i −0.355165 + 0.225927i
\(296\) 6.53367 + 15.2498i 0.379762 + 0.886378i
\(297\) −9.05118 + 18.0770i −0.525202 + 1.04893i
\(298\) −1.99419 + 26.7138i −0.115520 + 1.54749i
\(299\) 30.5481 1.76664
\(300\) 16.5172 5.21364i 0.953621 0.301009i
\(301\) 4.54280 0.261842
\(302\) −1.04990 + 14.0642i −0.0604148 + 0.809307i
\(303\) −15.5439 23.8132i −0.892975 1.36803i
\(304\) 9.49092 + 6.66461i 0.544342 + 0.382242i
\(305\) −11.0924 9.15651i −0.635150 0.524300i
\(306\) 13.7726 + 14.2623i 0.787325 + 0.815319i
\(307\) 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
\(309\) 2.70622 + 2.18097i 0.153951 + 0.124071i
\(310\) −19.0045 9.19043i −1.07939 0.521981i
\(311\) 2.77894 + 2.01902i 0.157579 + 0.114488i 0.663781 0.747927i \(-0.268951\pi\)
−0.506201 + 0.862415i \(0.668951\pi\)
\(312\) 18.5508 + 12.3594i 1.05023 + 0.699713i
\(313\) 4.48646 + 6.17508i 0.253590 + 0.349036i 0.916764 0.399428i \(-0.130791\pi\)
−0.663175 + 0.748465i \(0.730791\pi\)
\(314\) 2.17746 29.1689i 0.122881 1.64610i
\(315\) 5.27033 10.2241i 0.296950 0.576063i
\(316\) 7.55354 1.25882i 0.424920 0.0708142i
\(317\) 5.92659 18.2402i 0.332870 1.02447i −0.634891 0.772601i \(-0.718955\pi\)
0.967762 0.251868i \(-0.0810448\pi\)
\(318\) 0.780298 + 0.731083i 0.0437569 + 0.0409971i
\(319\) −29.0309 9.43270i −1.62542 0.528130i
\(320\) −15.6223 8.71459i −0.873313 0.487160i
\(321\) −15.2952 23.4322i −0.853697 1.30786i
\(322\) −10.5233 + 12.4222i −0.586440 + 0.692260i
\(323\) 7.96387 10.9613i 0.443121 0.609904i
\(324\) −10.0651 14.9229i −0.559173 0.829051i
\(325\) −11.0028 19.9130i −0.610323 1.10458i
\(326\) −1.70905 + 1.05680i −0.0946554 + 0.0585306i
\(327\) 2.22394 5.83439i 0.122984 0.322642i
\(328\) −7.11199 16.5997i −0.392694 0.916563i
\(329\) −9.86207 + 3.20438i −0.543714 + 0.176663i
\(330\) −20.9412 3.94694i −1.15277 0.217272i
\(331\) −32.9843 10.7173i −1.81298 0.589074i −0.999977 0.00681739i \(-0.997830\pi\)
−0.813005 0.582256i \(-0.802170\pi\)
\(332\) 7.92180 + 3.95630i 0.434765 + 0.217130i
\(333\) −17.1951 + 3.73924i −0.942283 + 0.204909i
\(334\) −4.85450 1.98793i −0.265626 0.108775i
\(335\) 4.67145 11.8357i 0.255228 0.646651i
\(336\) −11.4163 + 3.28595i −0.622810 + 0.179263i
\(337\) 4.45334 + 6.12949i 0.242589 + 0.333895i 0.912898 0.408187i \(-0.133839\pi\)
−0.670310 + 0.742081i \(0.733839\pi\)
\(338\) 4.12857 10.0819i 0.224565 0.548385i
\(339\) 1.00992 2.64946i 0.0548511 0.143899i
\(340\) −10.4739 + 18.0851i −0.568029 + 0.980800i
\(341\) 15.2662 + 21.0121i 0.826709 + 1.13787i
\(342\) −8.84847 + 8.54466i −0.478470 + 0.462042i
\(343\) 18.9642 1.02397
\(344\) 7.30699 + 1.66113i 0.393966 + 0.0895623i
\(345\) 2.90046 25.8397i 0.156155 1.39116i
\(346\) −4.74767 4.02194i −0.255236 0.216221i
\(347\) 3.68048 1.19586i 0.197579 0.0641972i −0.208556 0.978010i \(-0.566876\pi\)
0.406135 + 0.913813i \(0.366876\pi\)
\(348\) 20.0073 18.3949i 1.07250 0.986072i
\(349\) 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 \(-0.0235616\pi\)
−0.850270 + 0.526346i \(0.823562\pi\)
\(354\) −3.36396 + 7.16989i −0.178792 + 0.381075i
\(355\) −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 \(-0.662944\pi\)
0.677776 + 0.735268i \(0.262944\pi\)
\(360\) 12.2158 14.5181i 0.643829 0.765170i
\(361\) −8.57079 6.22704i −0.451094 0.327739i
\(362\) −4.80402 + 11.7314i −0.252494 + 0.616587i
\(363\) 5.57928 + 4.49640i 0.292836 + 0.236000i
\(364\) 7.19591 + 13.8459i 0.377168 + 0.725722i
\(365\) −10.4760 + 12.6909i −0.548338 + 0.664271i
\(366\) −15.6343 1.95704i −0.817216 0.102296i
\(367\) −9.36488 + 28.8221i −0.488843 + 1.50450i 0.337494 + 0.941328i \(0.390421\pi\)
−0.826337 + 0.563176i \(0.809579\pi\)
\(368\) −21.4688 + 16.1328i −1.11914 + 0.840980i
\(369\) 18.7171 4.07021i 0.974371 0.211887i
\(370\) −8.76296 16.3483i −0.455565 0.849910i
\(371\) 0.231304 + 0.711881i 0.0120087 + 0.0369590i
\(372\) −22.9719 + 2.65624i −1.19104 + 0.137720i
\(373\) 6.74381 9.28206i 0.349181 0.480607i −0.597913 0.801561i \(-0.704003\pi\)
0.947095 + 0.320954i \(0.104003\pi\)
\(374\) 21.8694 13.5231i 1.13084 0.699262i
\(375\) −17.8885 + 7.41622i −0.923760 + 0.382972i
\(376\) −17.0347 + 1.54798i −0.878495 + 0.0798310i
\(377\) −28.8811 20.9833i −1.48745 1.08070i
\(378\) −1.12746 12.5499i −0.0579901 0.645495i
\(379\) 25.6314 8.32816i 1.31660 0.427789i 0.435273 0.900299i \(-0.356652\pi\)
0.881325 + 0.472510i \(0.156652\pi\)
\(380\) −11.2202 6.49815i −0.575583 0.333348i
\(381\) 7.40817 + 0.370841i 0.379532 + 0.0189987i
\(382\) 22.9354 14.1822i 1.17348 0.725625i
\(383\) −9.80485 3.18579i −0.501004 0.162786i 0.0476029 0.998866i \(-0.484842\pi\)
−0.548607 + 0.836080i \(0.684842\pi\)
\(384\) −19.5644 + 1.11085i −0.998392 + 0.0566881i
\(385\) −11.5042 9.49643i −0.586309 0.483983i
\(386\) 0.824451 11.0442i 0.0419635 0.562135i
\(387\) −3.19867 + 7.27591i −0.162598 + 0.369855i
\(388\) 18.1398 3.02305i 0.920908 0.153472i
\(389\) −3.00172 + 4.13151i −0.152193 + 0.209476i −0.878305 0.478101i \(-0.841325\pi\)
0.726112 + 0.687577i \(0.241325\pi\)
\(390\) −21.8657 11.9581i −1.10721 0.605523i
\(391\) 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
\(396\) −21.6850 + 8.64269i −1.08971 + 0.434312i
\(397\) 13.9797 4.54229i 0.701622 0.227971i 0.0635851 0.997976i \(-0.479747\pi\)
0.638037 + 0.770006i \(0.279747\pi\)
\(398\) −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 \(-0.0210440\pi\)
\(402\) −2.62738 13.6888i −0.131042 0.682735i
\(403\) 9.38632 + 28.8881i 0.467566 + 1.43902i
\(404\) 4.87535 32.4727i 0.242558 1.61558i
\(405\) 12.6644 + 15.6401i 0.629297 + 0.777165i
\(406\) 18.4818 4.51589i 0.917235 0.224120i
\(407\) 22.8211i 1.13120i
\(408\) 0.929392 + 22.8750i 0.0460118 + 1.13248i
\(409\) 14.9357 10.8514i 0.738522 0.536568i −0.153726 0.988114i \(-0.549127\pi\)
0.892248 + 0.451546i \(0.149127\pi\)
\(410\) 9.53861 + 17.7954i 0.471078 + 0.878852i
\(411\) −1.26993 + 3.33159i −0.0626410 + 0.164335i
\(412\) 0.659739 + 3.95876i 0.0325030 + 0.195034i
\(413\) −4.48523 + 3.25871i −0.220704 + 0.160351i
\(414\) −12.4861 25.6012i −0.613661 1.25823i
\(415\) −9.20863 3.63458i −0.452034 0.178415i
\(416\) 6.51154 + 24.9021i 0.319254 + 1.22093i
\(417\) 1.14791 22.9315i 0.0562136 1.12296i
\(418\) 8.38987 + 13.5680i 0.410362 + 0.663635i
\(419\) −8.75744 + 26.9526i −0.427829 + 1.31672i 0.472431 + 0.881368i \(0.343377\pi\)
−0.900259 + 0.435354i \(0.856623\pi\)
\(420\) 12.3951 4.77218i 0.604817 0.232859i
\(421\) 8.14212 + 25.0589i 0.396823 + 1.22130i 0.927533 + 0.373742i \(0.121925\pi\)
−0.530710 + 0.847553i \(0.678075\pi\)
\(422\) 9.67109 11.4162i 0.470781 0.555731i
\(423\) 1.81182 18.0517i 0.0880936 0.877705i
\(424\) 0.111739 + 1.22963i 0.00542652 + 0.0597159i
\(425\) 9.90353 21.1633i 0.480392 1.02657i
\(426\) −20.6735 19.3696i −1.00163 0.938460i
\(427\) −8.92326 6.48313i −0.431827 0.313740i
\(428\) 4.79734 31.9531i 0.231888 1.54451i
\(429\) 16.7601 + 25.6763i 0.809184 + 1.23967i
\(430\) −8.30023 1.13817i −0.400273 0.0548876i
\(431\) 3.32255 10.2258i 0.160042 0.492558i −0.838595 0.544755i \(-0.816623\pi\)
0.998637 + 0.0521977i \(0.0166226\pi\)
\(432\) 2.77554 20.5985i 0.133538 0.991044i
\(433\) 9.98008 + 3.24273i 0.479612 + 0.155835i 0.538838 0.842409i \(-0.318863\pi\)
−0.0592263 + 0.998245i \(0.518863\pi\)
\(434\) −14.9806 6.13459i −0.719091 0.294470i
\(435\) −20.4914 + 22.4373i −0.982486 + 1.07579i
\(436\) 6.39741 3.32483i 0.306380 0.159230i
\(437\) −15.7475 + 11.4412i −0.753304 + 0.547308i
\(438\) −2.23905 + 17.8872i −0.106986 + 0.854684i
\(439\) −11.4481 + 15.7569i −0.546387 + 0.752038i −0.989516 0.144420i \(-0.953868\pi\)
0.443129 + 0.896458i \(0.353868\pi\)
\(440\) −15.0318 19.4815i −0.716612 0.928743i
\(441\) −4.90162 + 11.1496i −0.233411 + 0.530931i
\(442\) 29.2118 7.13770i 1.38946 0.339506i
\(443\) 7.92770i 0.376656i 0.982106 + 0.188328i \(0.0603068\pi\)
−0.982106 + 0.188328i \(0.939693\pi\)
\(444\) −17.7016 9.97605i −0.840082 0.473443i
\(445\) 5.96235 7.22294i 0.282643 0.342400i
\(446\) 14.3304 + 12.1398i 0.678562 + 0.574836i
\(447\) −17.9333 27.4737i −0.848215 1.29946i
\(448\) −12.3694 5.93048i −0.584398 0.280189i
\(449\) 9.06424i 0.427768i 0.976859 + 0.213884i \(0.0686114\pi\)
−0.976859 + 0.213884i \(0.931389\pi\)
\(450\) −12.1911 + 17.3602i −0.574695 + 0.818368i
\(451\) 24.8411i 1.16972i
\(452\) 2.90513 1.50984i 0.136646 0.0710169i
\(453\) −9.44149 14.4643i −0.443600 0.679593i
\(454\) −17.2951 + 20.4159i −0.811700 + 0.958166i
\(455\) −9.36376 14.7201i −0.438980 0.690091i
\(456\) −14.1919 + 0.576606i −0.664596 + 0.0270020i
\(457\) 23.6543i 1.10650i 0.833015 + 0.553251i \(0.186613\pi\)
−0.833015 + 0.553251i \(0.813387\pi\)
\(458\) 7.31833 + 29.9511i 0.341963 + 1.39952i
\(459\) −24.0097 3.62993i −1.12068 0.169431i
\(460\) 22.3396 20.0602i 1.04159 0.935313i
\(461\) 14.4059 19.8280i 0.670948 0.923481i −0.328834 0.944388i \(-0.606656\pi\)
0.999781 + 0.0209074i \(0.00665551\pi\)
\(462\) −16.2147 2.02969i −0.754375 0.0944298i
\(463\) 25.6661 18.6475i 1.19281 0.866624i 0.199247 0.979949i \(-0.436150\pi\)
0.993558 + 0.113326i \(0.0361503\pi\)
\(464\) 31.3788 0.505605i 1.45673 0.0234721i
\(465\) 25.3268 5.19676i 1.17450 0.240994i
\(466\) 6.43707 15.7192i 0.298191 0.728180i
\(467\) −25.1181 8.16136i −1.16233 0.377663i −0.336553 0.941665i \(-0.609261\pi\)
−0.825774 + 0.564002i \(0.809261\pi\)
\(468\) −27.2429 + 1.77608i −1.25930 + 0.0820995i
\(469\) 3.01519 9.27981i 0.139229 0.428502i
\(470\) 18.8220 3.38390i 0.868195 0.156088i
\(471\) 19.5814 + 29.9986i 0.902264 + 1.38226i
\(472\) −8.40599 + 3.60148i −0.386917 + 0.165772i
\(473\) 8.33900 + 6.05864i 0.383428 + 0.278577i
\(474\) −6.41243 + 6.84410i −0.294533 + 0.314360i
\(475\) 13.1300 + 6.14426i 0.602444 + 0.281918i
\(476\) −7.16047 + 14.3376i −0.328200 + 0.657162i
\(477\) −1.30304 0.130784i −0.0596622 0.00598818i
\(478\) 14.3809 + 12.1826i 0.657768 + 0.557221i
\(479\) 0.407995 + 1.25568i 0.0186418 + 0.0573735i 0.959945 0.280190i \(-0.0903974\pi\)
−0.941303 + 0.337563i \(0.890397\pi\)
\(480\) 21.6822 3.14353i 0.989653 0.143482i
\(481\) −8.24747 + 25.3831i −0.376052 + 1.15737i
\(482\) 34.4804 21.3211i 1.57054 0.971150i
\(483\) 0.996878 19.9143i 0.0453595 0.906134i
\(484\) 1.36015 + 8.16157i 0.0618250 + 0.370981i
\(485\) −19.9092 + 5.13448i −0.904029 + 0.233145i
\(486\) 20.8942 + 7.03083i 0.947780 + 0.318925i
\(487\) 8.41982 6.11735i 0.381538 0.277204i −0.380441 0.924805i \(-0.624228\pi\)
0.761979 + 0.647601i \(0.224228\pi\)
\(488\) −11.9822 13.6909i −0.542410 0.619757i
\(489\) 0.876556 2.29960i 0.0396392 0.103991i
\(490\) −12.7192 1.74413i −0.574596 0.0787917i
\(491\) 34.4436 25.0247i 1.55442 1.12935i 0.614011 0.789298i \(-0.289555\pi\)
0.940406 0.340052i \(-0.110445\pi\)
\(492\) 19.2685 + 10.8591i 0.868690 + 0.489565i
\(493\) 36.6645i 1.65129i
\(494\) 4.42831 + 18.1233i 0.199239 + 0.815408i
\(495\) 23.3102 11.7390i 1.04771 0.527627i
\(496\) −21.8528 15.3452i −0.981218 0.689020i
\(497\) −6.12826 18.8608i −0.274890 0.846024i
\(498\) −10.6505 + 2.04422i −0.477258 + 0.0916035i
\(499\) 8.19287i 0.366763i 0.983042 + 0.183382i \(0.0587044\pi\)
−0.983042 + 0.183382i \(0.941296\pi\)
\(500\) −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 \(-0.472824\pi\)
0.654631 + 0.755949i \(0.272824\pi\)
\(504\) 8.66248 11.6900i 0.385857 0.520712i
\(505\) −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 \(-0.00747123\pi\)
−0.331253 + 0.943542i \(0.607471\pi\)
\(510\) −3.26399 25.3871i −0.144532 1.12416i
\(511\) −7.41736 + 10.2091i −0.328125 + 0.451625i
\(512\) −17.7273 14.0621i −0.783444 0.621462i
\(513\) 2.25205 14.8959i 0.0994306 0.657670i
\(514\) 1.74137 + 0.129994i 0.0768086 + 0.00573377i
\(515\) −1.12053 4.34490i −0.0493765 0.191459i
\(516\) −8.34483 + 3.81982i −0.367360 + 0.168158i
\(517\) −22.3770 7.27072i −0.984138 0.319766i
\(518\) −7.48075 12.0978i −0.328685 0.531548i
\(519\) 7.61113 + 0.381001i 0.334092 + 0.0167241i
\(520\) −9.67878 27.1010i −0.424443 1.18846i
\(521\) −29.5575 + 9.60380i −1.29494 + 0.420750i −0.873817 0.486255i \(-0.838363\pi\)
−0.421119 + 0.907005i \(0.638363\pi\)
\(522\) −5.78055 + 32.7808i −0.253008 + 1.43478i
\(523\) 10.9969 + 7.98970i 0.480860 + 0.349365i 0.801658 0.597782i \(-0.203951\pi\)
−0.320799 + 0.947147i \(0.603951\pi\)
\(524\) −8.17837 + 16.3758i −0.357274 + 0.715378i
\(525\) −13.3404 + 6.52289i −0.582223 + 0.284682i
\(526\) 2.28448 + 3.69444i 0.0996078 + 0.161085i
\(527\) −18.3367 + 25.2383i −0.798760 + 1.09940i
\(528\) −25.3388 9.19382i −1.10273 0.400110i
\(529\) −6.82111 20.9932i −0.296570 0.912748i
\(530\) −0.244263 1.35864i −0.0106101 0.0590158i
\(531\) −2.06114 9.47824i −0.0894457 0.411321i
\(532\) −8.89521 4.44244i −0.385656 0.192604i
\(533\) 8.97749 27.6299i 0.388858 1.19678i
\(534\) 1.27435 10.1804i 0.0551463 0.440549i
\(535\) −2.22980 + 36.0562i −0.0964025 + 1.55885i
\(536\) 8.24316 13.8238i 0.356050 0.597099i
\(537\) −25.7029 20.7143i −1.10916 0.893886i
\(538\) −25.1664 10.3057i −1.08500 0.444310i
\(539\) 12.7786 + 9.28422i 0.550414 + 0.399900i
\(540\) −1.08430 + 23.2126i −0.0466609 + 0.998911i
\(541\) −20.1317 + 14.6265i −0.865528 + 0.628843i −0.929383 0.369116i \(-0.879661\pi\)
0.0638549 + 0.997959i \(0.479661\pi\)
\(542\) −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
\(546\) −17.3015 8.11748i −0.740435 0.347396i
\(547\) −14.1711 43.6142i −0.605913 1.86481i −0.490388 0.871504i \(-0.663145\pi\)
−0.115525 0.993305i \(-0.536855\pi\)
\(548\) −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
\(552\) 8.88540 31.6673i 0.378188 1.34785i
\(553\) −6.24401 + 2.02880i −0.265522 + 0.0862734i
\(554\) −8.58479 + 10.1339i −0.364733 + 0.430547i
\(555\) 20.6878 + 9.38635i 0.878146 + 0.398428i
\(556\) 18.5953 18.8974i 0.788618 0.801427i
\(557\) −1.64373 −0.0696470 −0.0348235 0.999393i \(-0.511087\pi\)
−0.0348235 + 0.999393i \(0.511087\pi\)
\(558\) 20.3735 19.6740i 0.862479 0.832866i
\(559\) 7.08561 + 9.75250i 0.299689 + 0.412487i
\(560\) 14.3546 + 5.40003i 0.606593 + 0.228193i
\(561\) −11.2166 + 29.4263i −0.473567 + 1.24238i
\(562\) −2.44133 0.999729i −0.102981 0.0421710i
\(563\) −22.6269 31.1432i −0.953609 1.31253i −0.949906 0.312536i \(-0.898821\pi\)
−0.00370279 0.999993i \(-0.501179\pi\)
\(564\) 15.4216 14.1788i 0.649366 0.597035i
\(565\) −3.08857 + 1.96470i −0.129937 + 0.0826554i
\(566\) 7.88294 19.2500i 0.331345 0.809139i
\(567\) 10.4333 + 11.3711i 0.438156 + 0.477543i
\(568\) −2.96045 32.5781i −0.124218 1.36695i
\(569\) −23.3776 7.59583i −0.980038 0.318434i −0.225177 0.974318i \(-0.572296\pi\)
−0.754862 + 0.655884i \(0.772296\pi\)
\(570\) 15.7505 2.02501i 0.659714 0.0848185i
\(571\) 0.818132 0.265827i 0.0342377 0.0111245i −0.291848 0.956465i \(-0.594270\pi\)
0.326086 + 0.945340i \(0.394270\pi\)
\(572\) −5.25679 + 35.0133i −0.219797 + 1.46398i
\(573\) −11.7634 + 30.8606i −0.491422 + 1.28922i
\(574\) 8.14290 + 13.1687i 0.339878 + 0.549649i
\(575\) −22.9268 + 24.5194i −0.956115 + 1.02253i
\(576\) 18.2080 15.6355i 0.758667 0.651479i
\(577\) −3.71496 + 5.11320i −0.154656 + 0.212865i −0.879313 0.476244i \(-0.841998\pi\)
0.724658 + 0.689109i \(0.241998\pi\)
\(578\) 5.22121 + 4.42309i 0.217174 + 0.183976i
\(579\) 7.41410 + 11.3584i 0.308120 + 0.472037i
\(580\) −34.8998 + 3.62057i −1.44914 + 0.150336i
\(581\) −7.22008 2.34595i −0.299540 0.0973263i
\(582\) −15.3994 + 16.4361i −0.638326 + 0.681297i
\(583\) −0.524828 + 1.61525i −0.0217361 + 0.0668970i
\(584\) −15.6638 + 13.7089i −0.648171 + 0.567278i
\(585\) 30.1695 4.63261i 1.24736 0.191535i
\(586\) 34.5953 + 2.58255i 1.42912 + 0.106684i
\(587\) 11.8333 + 16.2871i 0.488411 + 0.672240i 0.980094 0.198534i \(-0.0636180\pi\)
−0.491683 + 0.870774i \(0.663618\pi\)
\(588\) −12.7876 + 5.85347i −0.527350 + 0.241393i
\(589\) −15.6582 11.3763i −0.645183 0.468753i
\(590\) 9.01151 4.83031i 0.370998 0.198861i
\(591\) 24.6252 + 19.8458i 1.01295 + 0.816345i
\(592\) −7.60889 22.1945i −0.312724 0.912190i
\(593\) 28.7072 1.17886 0.589431 0.807819i \(-0.299352\pi\)
0.589431 + 0.807819i \(0.299352\pi\)
\(594\) 14.6679 24.5409i 0.601831 1.00692i
\(595\) 6.57819 16.6666i 0.269680 0.683265i
\(596\) 5.62476 37.4642i 0.230399 1.53459i
\(597\) −8.65510 13.2596i −0.354230 0.542677i
\(598\) −43.0816 3.21605i −1.76174 0.131514i
\(599\) 21.4526 0.876531 0.438265 0.898846i \(-0.355593\pi\)
0.438265 + 0.898846i \(0.355593\pi\)
\(600\) −23.8429 + 5.61383i −0.973383 + 0.229184i
\(601\) 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
\(603\) 12.7398 + 11.3633i 0.518806 + 0.462751i
\(604\) 2.96132 19.7241i 0.120494 0.802563i
\(605\) −2.31014 8.95767i −0.0939206 0.364181i
\(606\) 19.4144 + 35.2199i 0.788657 + 1.43071i
\(607\) 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
\(609\) −14.6215 + 18.1429i −0.592495 + 0.735186i
\(610\) 14.6795 + 14.0811i 0.594358 + 0.570128i
\(611\) −22.2615 16.1739i −0.900604 0.654327i
\(612\) −17.9218 21.5639i −0.724446 0.871667i
\(613\) −5.00125 6.88363i −0.201999 0.278027i 0.695985 0.718056i \(-0.254968\pi\)
−0.897983 + 0.440029i \(0.854968\pi\)
\(614\) −45.6455 3.40745i −1.84210 0.137513i
\(615\) −22.5189 10.2172i −0.908050 0.411996i
\(616\) −12.4270 14.1991i −0.500700 0.572099i
\(617\) −10.3438 + 31.8349i −0.416425 + 1.28163i 0.494544 + 0.869152i \(0.335335\pi\)
−0.910970 + 0.412473i \(0.864665\pi\)
\(618\) −3.58694 3.36071i −0.144288 0.135188i
\(619\) 46.0728 + 14.9700i 1.85182 + 0.601693i 0.996500 + 0.0835952i \(0.0266403\pi\)
0.855321 + 0.518098i \(0.173360\pi\)
\(620\) 25.8343 + 14.9619i 1.03753 + 0.600886i
\(621\) 31.1936 + 15.6187i 1.25176 + 0.626757i
\(622\) −3.70656 3.13997i −0.148619 0.125901i
\(623\) 4.22155 5.81047i 0.169133 0.232791i
\(624\) −24.8608 19.3833i −0.995228 0.775954i
\(625\) 24.2409 + 6.11372i 0.969637 + 0.244549i
\(626\) −5.67710 9.18098i −0.226903 0.366946i
\(627\) −18.2564 6.95893i −0.729090 0.277913i
\(628\) −6.14170 + 40.9073i −0.245081 + 1.63238i
\(629\) −26.0696 + 8.47053i −1.03946 + 0.337742i
\(630\) −8.50907 + 13.8641i −0.339009 + 0.552358i
\(631\) 4.13279 + 1.34282i 0.164524 + 0.0534570i 0.390121 0.920764i \(-0.372433\pi\)
−0.225597 + 0.974221i \(0.572433\pi\)
\(632\) −10.7852 + 0.980078i −0.429013 + 0.0389854i
\(633\) −0.916149 + 18.3016i −0.0364136 + 0.727425i
\(634\) −10.2785 + 25.1000i −0.408211 + 0.996847i
\(635\) −7.38486 6.09601i −0.293059 0.241913i
\(636\) −1.02348 1.11319i −0.0405836 0.0441408i
\(637\) 10.8579 + 14.9447i 0.430207 + 0.592129i
\(638\) 39.9489 + 16.3592i 1.58159 + 0.647666i
\(639\) 34.5233 + 3.46503i 1.36572 + 0.137075i
\(640\) 21.1145 + 13.9348i 0.834624 + 0.550821i
\(641\) 17.7570 + 24.4404i 0.701360 + 0.965339i 0.999940 + 0.0109543i \(0.00348693\pi\)
−0.298580 + 0.954385i \(0.596513\pi\)
\(642\) 19.1038 + 34.6565i 0.753967 + 1.36778i
\(643\) 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
\(645\) 8.92211 5.06753i 0.351308 0.199534i
\(646\) −12.3853 + 14.6202i −0.487295 + 0.575225i
\(647\) 22.6493 7.35921i 0.890437 0.289320i 0.172153 0.985070i \(-0.444928\pi\)
0.718284 + 0.695750i \(0.244928\pi\)
\(648\) 12.6237 + 22.1053i 0.495904 + 0.868377i
\(649\) −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 \(-0.157249\pi\)
−0.990994 + 0.133904i \(0.957249\pi\)
\(654\) −3.75063 + 7.99404i −0.146661 + 0.312592i
\(655\) 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 \(-0.797212\pi\)
0.317336 + 0.948313i \(0.397212\pi\)
\(660\) 29.1176 + 7.77099i 1.13340 + 0.302485i
\(661\) −8.42635 6.12210i −0.327747 0.238122i 0.411727 0.911307i \(-0.364926\pi\)
−0.739474 + 0.673185i \(0.764926\pi\)
\(662\) 45.3891 + 18.5870i 1.76410 + 0.722403i
\(663\) −23.1104 + 28.6762i −0.897535 + 1.11369i
\(664\) −10.7555 6.41353i −0.417395 0.248893i
\(665\) 10.3402 + 4.08119i 0.400974 + 0.158262i
\(666\) 24.6437 3.46314i 0.954923 0.134194i
\(667\) −16.2771 + 50.0957i −0.630251 + 1.93971i
\(668\) 6.63696 + 3.31463i 0.256792 + 0.128247i
\(669\) −22.9734 1.15001i −0.888204 0.0444620i
\(670\) −7.83413 + 16.1999i −0.302659 + 0.625856i
\(671\) −7.73359 23.8015i −0.298552 0.918849i
\(672\) 16.4462 3.43225i 0.634426 0.132402i
\(673\) −23.3216 + 32.0995i −0.898983 + 1.23734i 0.0718087 + 0.997418i \(0.477123\pi\)
−0.970791 + 0.239925i \(0.922877\pi\)
\(674\) −5.63519 9.11320i −0.217060 0.351027i
\(675\) −1.05407 25.9594i −0.0405713 0.999177i
\(676\) −6.88389 + 13.7838i −0.264765 + 0.530146i
\(677\) 27.3849 + 19.8963i 1.05249 + 0.764676i 0.972684 0.232134i \(-0.0745709\pi\)
0.0798029 + 0.996811i \(0.474571\pi\)
\(678\) −1.70320 + 3.63018i −0.0654111 + 0.139416i
\(679\) −14.9949 + 4.87215i −0.575453 + 0.186976i
\(680\) 16.6753 24.4025i 0.639467 0.935793i
\(681\) 1.63838 32.7294i 0.0627827 1.25419i
\(682\) −19.3176 31.2403i −0.739709 1.19625i
\(683\) 17.4405 + 5.66677i 0.667343 + 0.216833i 0.623046 0.782186i \(-0.285895\pi\)
0.0442974 + 0.999018i \(0.485895\pi\)
\(684\) 13.3785 11.1189i 0.511538 0.425141i
\(685\) 3.88375 2.47053i 0.148390 0.0943940i
\(686\) −26.7451 1.99652i −1.02113 0.0762276i
\(687\) −29.4019 23.6953i −1.12175 0.904032i
\(688\) −10.1301 3.11195i −0.386206 0.118642i
\(689\) −1.16749 + 1.60692i −0.0444780 + 0.0612187i
\(690\) −6.81085 + 36.1361i −0.259284 + 1.37568i
\(691\) −25.7183 35.3982i −0.978370 1.34661i −0.937703 0.347439i \(-0.887052\pi\)
−0.0406676 0.999173i \(-0.512948\pi\)
\(692\) 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
\(696\) −30.1526 + 23.8359i −1.14293 + 0.903496i
\(697\) 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 \(0.900563\pi\)
\(702\) 25.1836 21.9950i 0.950493 0.830149i
\(703\) −5.25522 16.1739i −0.198204 0.610010i
\(704\) −14.7965 27.3831i −0.557665 1.03204i
\(705\) −15.7947 + 17.2947i −0.594864 + 0.651355i
\(706\) −2.99999 12.2778i −0.112906 0.462080i
\(707\) 28.1524i 1.05878i
\(708\) 5.49899 9.75747i 0.206665 0.366708i
\(709\) −12.8901 + 9.36519i −0.484097 + 0.351717i −0.802910 0.596101i \(-0.796716\pi\)
0.318813 + 0.947818i \(0.396716\pi\)
\(710\) 6.47158 + 35.9964i 0.242874 + 1.35092i
\(711\) 1.14712 11.4292i 0.0430205 0.428627i
\(712\) 8.91495 7.80234i 0.334102 0.292405i
\(713\) 36.2584 26.3433i 1.35789 0.986564i
\(714\) −3.69981 19.2761i −0.138462 0.721392i
\(715\) 2.44335 39.5093i 0.0913760 1.47757i
\(716\) −6.26601 37.5992i −0.234172 1.40515i
\(717\) −23.0545 1.15407i −0.860985 0.0430995i
\(718\) −5.29431 + 3.27377i −0.197582 + 0.122176i
\(719\) 3.29376 10.1371i 0.122836 0.378052i −0.870664 0.491878i \(-0.836311\pi\)
0.993501 + 0.113826i \(0.0363107\pi\)
\(720\) −18.7562 + 19.1886i −0.699004 + 0.715118i
\(721\) −1.06328 3.27244i −0.0395986 0.121872i
\(722\) 11.4317 + 9.68425i 0.425445 + 0.360411i
\(723\) −17.6847 + 46.3948i −0.657700 + 1.72544i
\(724\) 8.01012 16.0389i 0.297694 0.596080i
\(725\) 38.5180 7.43302i 1.43052 0.276055i
\(726\) −7.39502 6.92861i −0.274455 0.257145i
\(727\) −8.33334 6.05452i −0.309066 0.224550i 0.422429 0.906396i \(-0.361177\pi\)
−0.731496 + 0.681846i \(0.761177\pi\)
\(728\) −8.69065 20.2843i −0.322097 0.751786i
\(729\) −25.5587 + 8.70366i −0.946618 + 0.322358i
\(730\) 16.1103 16.7949i 0.596267 0.621608i
\(731\) −3.82587 + 11.7748i −0.141505 + 0.435508i
\(732\) 21.8428 + 4.40594i 0.807333 + 0.162848i
\(733\) 23.3696 + 7.59323i 0.863174 + 0.280462i 0.706954 0.707260i \(-0.250069\pi\)
0.156221 + 0.987722i \(0.450069\pi\)
\(734\) 16.2415 39.6617i 0.599486 1.46394i
\(735\) 13.6722 7.76545i 0.504306 0.286433i
\(736\) 31.9757 20.4917i 1.17864 0.755334i
\(737\) 17.9112 13.0132i 0.659766 0.479348i
\(738\) −26.8250 + 3.76967i −0.987441 + 0.138764i
\(739\) −21.9622 + 30.2284i −0.807894 + 1.11197i 0.183751 + 0.982973i \(0.441176\pi\)
−0.991645 + 0.128997i \(0.958824\pi\)
\(740\) 10.6372 + 23.9784i 0.391031 + 0.881465i
\(741\) −17.7910 14.3380i −0.653569 0.526719i
\(742\) −0.251260 1.02831i −0.00922406 0.0377504i
\(743\) 38.4719i 1.41140i −0.708511 0.705699i \(-0.750633\pi\)
0.708511 0.705699i \(-0.249367\pi\)
\(744\) 32.6767 1.32763i 1.19799 0.0486732i
\(745\) −2.61438 + 42.2750i −0.0957834 + 1.54883i
\(746\) −10.4879 + 12.3804i −0.383990 + 0.453279i
\(747\) 8.84116 9.91213i 0.323481 0.362666i
\(748\) −32.2659 + 16.7691i −1.17976 + 0.613138i
\(749\) 27.7020i 1.01221i
\(750\) 26.0088 8.57574i 0.949706 0.313142i
\(751\) 7.49060i 0.273336i 0.990617 + 0.136668i \(0.0436393\pi\)
−0.990617 + 0.136668i \(0.956361\pi\)
\(752\) 24.1868 0.389720i 0.882000 0.0142116i
\(753\) −4.03306 + 2.63256i −0.146973 + 0.0959357i
\(754\) 38.5216 + 32.6331i 1.40287 + 1.18843i
\(755\) −1.37642 + 22.2569i −0.0500929 + 0.810011i
\(756\) 0.268812 + 17.8176i 0.00977661 + 0.648021i
\(757\) 19.4819i 0.708082i −0.935230 0.354041i \(-0.884807\pi\)
0.935230 0.354041i \(-0.115193\pi\)
\(758\) −37.0245 + 9.04668i −1.34479 + 0.328590i
\(759\) 28.3893 35.2263i 1.03047 1.27863i
\(760\) 15.1396 + 10.3455i 0.549170 + 0.375271i
\(761\) 9.09576 12.5192i 0.329721 0.453822i −0.611683 0.791103i \(-0.709507\pi\)
0.941404 + 0.337281i \(0.109507\pi\)
\(762\) −10.4086 1.30291i −0.377065 0.0471995i
\(763\) −5.00079 + 3.63329i −0.181041 + 0.131534i
\(764\) −33.8386 + 17.5864i −1.22424 + 0.636255i
\(765\) 22.0620 + 22.2712i 0.797655 + 0.805216i
\(766\) 13.4923 + 5.52512i 0.487496 + 0.199631i
\(767\) −13.9916 4.54616i −0.505209 0.164152i
\(768\) 27.7084 + 0.493081i 0.999842 + 0.0177925i
\(769\) −1.41299 + 4.34873i −0.0509536 + 0.156819i −0.973296 0.229555i \(-0.926273\pi\)
0.922342 + 0.386375i \(0.126273\pi\)
\(770\) 15.2245 + 14.6039i 0.548653 + 0.526287i
\(771\) −1.79091 + 1.16900i −0.0644979 + 0.0421006i
\(772\) −2.32543 + 15.4887i −0.0836941 + 0.557452i
\(773\) −8.44554 6.13604i −0.303765 0.220698i 0.425452 0.904981i \(-0.360115\pi\)
−0.729216 + 0.684283i \(0.760115\pi\)
\(774\) 5.27705 9.92439i 0.189680