Properties

Label 273.2.cd.e.44.5
Level $273$
Weight $2$
Character 273.44
Analytic conductor $2.180$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 44.5
Character \(\chi\) \(=\) 273.44
Dual form 273.2.cd.e.242.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.10280 + 0.563443i) q^{2} +(-0.755319 - 1.55868i) q^{3} +(2.37223 - 1.36961i) q^{4} +(-2.37528 + 0.636456i) q^{5} +(2.46651 + 2.85201i) q^{6} +(1.72404 + 2.00691i) q^{7} +(-1.13792 + 1.13792i) q^{8} +(-1.85899 + 2.35461i) q^{9} +O(q^{10})\) \(q+(-2.10280 + 0.563443i) q^{2} +(-0.755319 - 1.55868i) q^{3} +(2.37223 - 1.36961i) q^{4} +(-2.37528 + 0.636456i) q^{5} +(2.46651 + 2.85201i) q^{6} +(1.72404 + 2.00691i) q^{7} +(-1.13792 + 1.13792i) q^{8} +(-1.85899 + 2.35461i) q^{9} +(4.63613 - 2.67667i) q^{10} +(4.60389 + 1.23361i) q^{11} +(-3.92658 - 2.66307i) q^{12} +(-1.26325 - 3.37701i) q^{13} +(-4.75608 - 3.24874i) q^{14} +(2.78613 + 3.22159i) q^{15} +(-0.987558 + 1.71050i) q^{16} +(-2.74438 - 4.75341i) q^{17} +(2.58238 - 5.99869i) q^{18} +(-1.33998 - 5.00087i) q^{19} +(-4.76303 + 4.76303i) q^{20} +(1.82595 - 4.20308i) q^{21} -10.3761 q^{22} +(1.25744 - 2.17794i) q^{23} +(2.63315 + 0.914164i) q^{24} +(0.906774 - 0.523526i) q^{25} +(4.55912 + 6.38939i) q^{26} +(5.07421 + 1.11909i) q^{27} +(6.83850 + 2.39961i) q^{28} -6.71804i q^{29} +(-7.67385 - 5.20452i) q^{30} +(-0.139527 - 0.0373862i) q^{31} +(1.94588 - 7.26212i) q^{32} +(-1.55460 - 8.10777i) q^{33} +(8.44915 + 8.44915i) q^{34} +(-5.37239 - 3.66972i) q^{35} +(-1.18506 + 8.13176i) q^{36} +(8.21210 - 2.20043i) q^{37} +(5.63541 + 9.76081i) q^{38} +(-4.30953 + 4.51973i) q^{39} +(1.97865 - 3.42712i) q^{40} +(5.28731 + 5.28731i) q^{41} +(-1.47139 + 9.86705i) q^{42} -5.94233i q^{43} +(12.6111 - 3.37912i) q^{44} +(2.91702 - 6.77602i) q^{45} +(-1.41699 + 5.28826i) q^{46} +(-2.03675 - 7.60124i) q^{47} +(3.41205 + 0.247316i) q^{48} +(-1.05541 + 6.91998i) q^{49} +(-1.61178 + 1.61178i) q^{50} +(-5.33617 + 7.86796i) q^{51} +(-7.62192 - 6.28089i) q^{52} +(-1.92970 + 1.11411i) q^{53} +(-11.3006 + 0.505811i) q^{54} -11.7207 q^{55} +(-4.24552 - 0.321893i) q^{56} +(-6.78266 + 5.86586i) q^{57} +(3.78523 + 14.1267i) q^{58} +(0.447402 + 0.119881i) q^{59} +(11.0217 + 3.82645i) q^{60} +(1.90641 - 3.30201i) q^{61} +0.314462 q^{62} +(-7.93045 + 0.328601i) q^{63} +12.4169i q^{64} +(5.14990 + 7.21735i) q^{65} +(7.83728 + 16.1731i) q^{66} +(-7.45712 - 1.99813i) q^{67} +(-13.0206 - 7.51747i) q^{68} +(-4.34449 - 0.314902i) q^{69} +(13.3647 + 4.68964i) q^{70} +(-1.06077 - 1.06077i) q^{71} +(-0.563977 - 4.79473i) q^{72} +(1.03019 - 3.84472i) q^{73} +(-16.0286 + 9.25410i) q^{74} +(-1.50091 - 1.01794i) q^{75} +(-10.0280 - 10.0280i) q^{76} +(5.46152 + 11.3664i) q^{77} +(6.51545 - 11.9322i) q^{78} +(4.71388 - 8.16468i) q^{79} +(1.25707 - 4.69146i) q^{80} +(-2.08835 - 8.75436i) q^{81} +(-14.0972 - 8.13905i) q^{82} +(3.57163 + 3.57163i) q^{83} +(-1.42502 - 12.4715i) q^{84} +(9.54402 + 9.54402i) q^{85} +(3.34816 + 12.4955i) q^{86} +(-10.4713 + 5.07426i) q^{87} +(-6.64261 + 3.83511i) q^{88} +(3.26107 + 12.1705i) q^{89} +(-2.31599 + 15.8922i) q^{90} +(4.59947 - 8.35732i) q^{91} -6.88878i q^{92} +(0.0471144 + 0.245717i) q^{93} +(8.56573 + 14.8363i) q^{94} +(6.36567 + 11.0257i) q^{95} +(-12.7891 + 2.45221i) q^{96} +(2.18696 - 2.18696i) q^{97} +(-1.67971 - 15.1460i) q^{98} +(-11.4632 + 8.54709i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 112 q - 12 q^{3} - 8 q^{6} - 4 q^{7} + 8 q^{9} - 48 q^{13} - 12 q^{15} + 40 q^{16} - 26 q^{18} + 40 q^{19} - 10 q^{21} + 16 q^{22} + 32 q^{24} - 24 q^{27} - 52 q^{28} - 12 q^{31} - 44 q^{33} + 16 q^{34} - 8 q^{37} - 42 q^{39} - 160 q^{40} - 80 q^{42} + 6 q^{45} + 32 q^{46} + 72 q^{48} - 12 q^{52} + 34 q^{54} - 48 q^{55} - 24 q^{57} - 28 q^{58} + 44 q^{60} + 78 q^{63} + 4 q^{66} + 24 q^{67} - 12 q^{70} - 26 q^{72} - 40 q^{73} + 112 q^{76} + 32 q^{78} + 48 q^{79} + 128 q^{81} - 150 q^{84} + 160 q^{85} - 48 q^{87} + 24 q^{91} + 10 q^{93} - 8 q^{94} - 106 q^{96} + 56 q^{97} - 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.10280 + 0.563443i −1.48690 + 0.398414i −0.908690 0.417473i \(-0.862916\pi\)
−0.578212 + 0.815887i \(0.696249\pi\)
\(3\) −0.755319 1.55868i −0.436084 0.899906i
\(4\) 2.37223 1.36961i 1.18612 0.684805i
\(5\) −2.37528 + 0.636456i −1.06226 + 0.284632i −0.747309 0.664477i \(-0.768655\pi\)
−0.314950 + 0.949108i \(0.601988\pi\)
\(6\) 2.46651 + 2.85201i 1.00695 + 1.16433i
\(7\) 1.72404 + 2.00691i 0.651624 + 0.758542i
\(8\) −1.13792 + 1.13792i −0.402316 + 0.402316i
\(9\) −1.85899 + 2.35461i −0.619662 + 0.784869i
\(10\) 4.63613 2.67667i 1.46607 0.846438i
\(11\) 4.60389 + 1.23361i 1.38812 + 0.371947i 0.874066 0.485808i \(-0.161474\pi\)
0.514059 + 0.857755i \(0.328141\pi\)
\(12\) −3.92658 2.66307i −1.13351 0.768761i
\(13\) −1.26325 3.37701i −0.350364 0.936614i
\(14\) −4.75608 3.24874i −1.27111 0.868261i
\(15\) 2.78613 + 3.22159i 0.719376 + 0.831811i
\(16\) −0.987558 + 1.71050i −0.246889 + 0.427625i
\(17\) −2.74438 4.75341i −0.665611 1.15287i −0.979119 0.203286i \(-0.934838\pi\)
0.313509 0.949585i \(-0.398495\pi\)
\(18\) 2.58238 5.99869i 0.608673 1.41390i
\(19\) −1.33998 5.00087i −0.307412 1.14728i −0.930849 0.365405i \(-0.880931\pi\)
0.623436 0.781874i \(-0.285736\pi\)
\(20\) −4.76303 + 4.76303i −1.06505 + 1.06505i
\(21\) 1.82595 4.20308i 0.398454 0.917188i
\(22\) −10.3761 −2.21219
\(23\) 1.25744 2.17794i 0.262193 0.454132i −0.704631 0.709574i \(-0.748888\pi\)
0.966825 + 0.255442i \(0.0822208\pi\)
\(24\) 2.63315 + 0.914164i 0.537490 + 0.186603i
\(25\) 0.906774 0.523526i 0.181355 0.104705i
\(26\) 4.55912 + 6.38939i 0.894116 + 1.25306i
\(27\) 5.07421 + 1.11909i 0.976533 + 0.215369i
\(28\) 6.83850 + 2.39961i 1.29236 + 0.453484i
\(29\) 6.71804i 1.24751i −0.781621 0.623754i \(-0.785607\pi\)
0.781621 0.623754i \(-0.214393\pi\)
\(30\) −7.67385 5.20452i −1.40105 0.950211i
\(31\) −0.139527 0.0373862i −0.0250598 0.00671476i 0.246267 0.969202i \(-0.420796\pi\)
−0.271327 + 0.962487i \(0.587463\pi\)
\(32\) 1.94588 7.26212i 0.343986 1.28377i
\(33\) −1.55460 8.10777i −0.270621 1.41138i
\(34\) 8.44915 + 8.44915i 1.44902 + 1.44902i
\(35\) −5.37239 3.66972i −0.908099 0.620296i
\(36\) −1.18506 + 8.13176i −0.197509 + 1.35529i
\(37\) 8.21210 2.20043i 1.35006 0.361748i 0.489904 0.871776i \(-0.337032\pi\)
0.860158 + 0.510028i \(0.170365\pi\)
\(38\) 5.63541 + 9.76081i 0.914184 + 1.58341i
\(39\) −4.30953 + 4.51973i −0.690076 + 0.723736i
\(40\) 1.97865 3.42712i 0.312852 0.541875i
\(41\) 5.28731 + 5.28731i 0.825740 + 0.825740i 0.986924 0.161185i \(-0.0515314\pi\)
−0.161185 + 0.986924i \(0.551531\pi\)
\(42\) −1.47139 + 9.86705i −0.227041 + 1.52252i
\(43\) 5.94233i 0.906196i −0.891461 0.453098i \(-0.850319\pi\)
0.891461 0.453098i \(-0.149681\pi\)
\(44\) 12.6111 3.37912i 1.90119 0.509422i
\(45\) 2.91702 6.77602i 0.434843 1.01011i
\(46\) −1.41699 + 5.28826i −0.208923 + 0.779711i
\(47\) −2.03675 7.60124i −0.297090 1.10875i −0.939543 0.342430i \(-0.888750\pi\)
0.642453 0.766325i \(-0.277917\pi\)
\(48\) 3.41205 + 0.247316i 0.492487 + 0.0356969i
\(49\) −1.05541 + 6.91998i −0.150772 + 0.988569i
\(50\) −1.61178 + 1.61178i −0.227941 + 0.227941i
\(51\) −5.33617 + 7.86796i −0.747214 + 1.10174i
\(52\) −7.62192 6.28089i −1.05697 0.871003i
\(53\) −1.92970 + 1.11411i −0.265064 + 0.153035i −0.626643 0.779307i \(-0.715571\pi\)
0.361578 + 0.932342i \(0.382238\pi\)
\(54\) −11.3006 + 0.505811i −1.53781 + 0.0688321i
\(55\) −11.7207 −1.58042
\(56\) −4.24552 0.321893i −0.567332 0.0430148i
\(57\) −6.78266 + 5.86586i −0.898385 + 0.776952i
\(58\) 3.78523 + 14.1267i 0.497025 + 1.85492i
\(59\) 0.447402 + 0.119881i 0.0582467 + 0.0156072i 0.287825 0.957683i \(-0.407068\pi\)
−0.229578 + 0.973290i \(0.573735\pi\)
\(60\) 11.0217 + 3.82645i 1.42289 + 0.493992i
\(61\) 1.90641 3.30201i 0.244091 0.422779i −0.717784 0.696265i \(-0.754844\pi\)
0.961876 + 0.273487i \(0.0881770\pi\)
\(62\) 0.314462 0.0399367
\(63\) −7.93045 + 0.328601i −0.999143 + 0.0413998i
\(64\) 12.4169i 1.55212i
\(65\) 5.14990 + 7.21735i 0.638767 + 0.895202i
\(66\) 7.83728 + 16.1731i 0.964702 + 1.99077i
\(67\) −7.45712 1.99813i −0.911032 0.244110i −0.227284 0.973829i \(-0.572985\pi\)
−0.683748 + 0.729718i \(0.739651\pi\)
\(68\) −13.0206 7.51747i −1.57898 0.911627i
\(69\) −4.34449 0.314902i −0.523015 0.0379097i
\(70\) 13.3647 + 4.68964i 1.59739 + 0.560519i
\(71\) −1.06077 1.06077i −0.125890 0.125890i 0.641354 0.767245i \(-0.278373\pi\)
−0.767245 + 0.641354i \(0.778373\pi\)
\(72\) −0.563977 4.79473i −0.0664654 0.565065i
\(73\) 1.03019 3.84472i 0.120574 0.449990i −0.879069 0.476695i \(-0.841835\pi\)
0.999643 + 0.0267047i \(0.00850138\pi\)
\(74\) −16.0286 + 9.25410i −1.86328 + 1.07577i
\(75\) −1.50091 1.01794i −0.173311 0.117542i
\(76\) −10.0280 10.0280i −1.15029 1.15029i
\(77\) 5.46152 + 11.3664i 0.622398 + 1.29532i
\(78\) 6.51545 11.9322i 0.737729 1.35106i
\(79\) 4.71388 8.16468i 0.530353 0.918598i −0.469020 0.883187i \(-0.655393\pi\)
0.999373 0.0354104i \(-0.0112738\pi\)
\(80\) 1.25707 4.69146i 0.140545 0.524521i
\(81\) −2.08835 8.75436i −0.232038 0.972707i
\(82\) −14.0972 8.13905i −1.55678 0.898807i
\(83\) 3.57163 + 3.57163i 0.392037 + 0.392037i 0.875413 0.483376i \(-0.160590\pi\)
−0.483376 + 0.875413i \(0.660590\pi\)
\(84\) −1.42502 12.4715i −0.155482 1.36076i
\(85\) 9.54402 + 9.54402i 1.03519 + 1.03519i
\(86\) 3.34816 + 12.4955i 0.361041 + 1.34742i
\(87\) −10.4713 + 5.07426i −1.12264 + 0.544018i
\(88\) −6.64261 + 3.83511i −0.708104 + 0.408824i
\(89\) 3.26107 + 12.1705i 0.345672 + 1.29007i 0.891825 + 0.452381i \(0.149425\pi\)
−0.546152 + 0.837686i \(0.683908\pi\)
\(90\) −2.31599 + 15.8922i −0.244127 + 1.67518i
\(91\) 4.59947 8.35732i 0.482156 0.876086i
\(92\) 6.88878i 0.718205i
\(93\) 0.0471144 + 0.245717i 0.00488553 + 0.0254797i
\(94\) 8.56573 + 14.8363i 0.883487 + 1.53024i
\(95\) 6.36567 + 11.0257i 0.653103 + 1.13121i
\(96\) −12.7891 + 2.45221i −1.30528 + 0.250278i
\(97\) 2.18696 2.18696i 0.222052 0.222052i −0.587310 0.809362i \(-0.699813\pi\)
0.809362 + 0.587310i \(0.199813\pi\)
\(98\) −1.67971 15.1460i −0.169676 1.52997i
\(99\) −11.4632 + 8.54709i −1.15210 + 0.859015i
\(100\) 1.43405 2.48385i 0.143405 0.248385i
\(101\) −4.47278 7.74708i −0.445058 0.770863i 0.552998 0.833183i \(-0.313484\pi\)
−0.998056 + 0.0623191i \(0.980150\pi\)
\(102\) 6.78774 19.5514i 0.672087 1.93587i
\(103\) −5.16765 2.98354i −0.509184 0.293977i 0.223314 0.974746i \(-0.428312\pi\)
−0.732498 + 0.680769i \(0.761646\pi\)
\(104\) 5.28025 + 2.40528i 0.517771 + 0.235858i
\(105\) −1.66206 + 11.1457i −0.162201 + 1.08770i
\(106\) 3.43002 3.43002i 0.333153 0.333153i
\(107\) 7.10435 + 4.10170i 0.686803 + 0.396526i 0.802413 0.596769i \(-0.203549\pi\)
−0.115610 + 0.993295i \(0.536882\pi\)
\(108\) 13.5699 4.29495i 1.30577 0.413282i
\(109\) 10.1055 + 2.70775i 0.967927 + 0.259355i 0.707952 0.706260i \(-0.249619\pi\)
0.259975 + 0.965615i \(0.416286\pi\)
\(110\) 24.6462 6.60393i 2.34992 0.629660i
\(111\) −9.63253 11.1380i −0.914279 1.05718i
\(112\) −5.13541 + 0.967019i −0.485251 + 0.0913747i
\(113\) 7.13573i 0.671273i −0.941991 0.335637i \(-0.891049\pi\)
0.941991 0.335637i \(-0.108951\pi\)
\(114\) 10.9575 16.1563i 1.02626 1.51318i
\(115\) −1.60060 + 5.97353i −0.149257 + 0.557035i
\(116\) −9.20109 15.9368i −0.854300 1.47969i
\(117\) 10.2999 + 3.30334i 0.952226 + 0.305394i
\(118\) −1.00834 −0.0928253
\(119\) 4.80827 13.7028i 0.440774 1.25613i
\(120\) −6.83631 0.495516i −0.624067 0.0452342i
\(121\) 10.1477 + 5.85879i 0.922521 + 0.532618i
\(122\) −2.14831 + 8.01760i −0.194499 + 0.725880i
\(123\) 4.24764 12.2349i 0.382996 1.10318i
\(124\) −0.382196 + 0.102409i −0.0343222 + 0.00919660i
\(125\) 6.87350 6.87350i 0.614785 0.614785i
\(126\) 16.4910 5.15933i 1.46913 0.459630i
\(127\) 6.83375i 0.606397i −0.952927 0.303199i \(-0.901945\pi\)
0.952927 0.303199i \(-0.0980546\pi\)
\(128\) −3.10446 11.5860i −0.274398 1.02407i
\(129\) −9.26220 + 4.48835i −0.815492 + 0.395178i
\(130\) −14.8958 12.2749i −1.30644 1.07658i
\(131\) 10.9242 + 6.30712i 0.954456 + 0.551055i 0.894462 0.447143i \(-0.147559\pi\)
0.0599936 + 0.998199i \(0.480892\pi\)
\(132\) −14.7924 17.1043i −1.28751 1.48874i
\(133\) 7.72615 11.3109i 0.669942 0.980780i
\(134\) 16.8066 1.45187
\(135\) −12.7650 + 0.571356i −1.09863 + 0.0491745i
\(136\) 8.53189 + 2.28611i 0.731604 + 0.196033i
\(137\) −3.73440 1.00063i −0.319051 0.0854896i 0.0957392 0.995406i \(-0.469479\pi\)
−0.414791 + 0.909917i \(0.636145\pi\)
\(138\) 9.31300 1.78569i 0.792775 0.152008i
\(139\) −10.4086 −0.882848 −0.441424 0.897299i \(-0.645526\pi\)
−0.441424 + 0.897299i \(0.645526\pi\)
\(140\) −17.7706 1.34736i −1.50189 0.113873i
\(141\) −10.3095 + 8.91601i −0.868219 + 0.750863i
\(142\) 2.82827 + 1.63290i 0.237343 + 0.137030i
\(143\) −1.64998 17.1057i −0.137978 1.43045i
\(144\) −2.19170 5.50510i −0.182642 0.458759i
\(145\) 4.27573 + 15.9573i 0.355080 + 1.32518i
\(146\) 8.66511i 0.717129i
\(147\) 11.5832 3.58175i 0.955368 0.295418i
\(148\) 16.4673 16.4673i 1.35360 1.35360i
\(149\) −12.4422 + 3.33389i −1.01931 + 0.273123i −0.729514 0.683966i \(-0.760254\pi\)
−0.289794 + 0.957089i \(0.593587\pi\)
\(150\) 3.72967 + 1.29485i 0.304526 + 0.105724i
\(151\) −5.12786 + 19.1374i −0.417300 + 1.55738i 0.362885 + 0.931834i \(0.381792\pi\)
−0.780185 + 0.625549i \(0.784875\pi\)
\(152\) 7.21538 + 4.16580i 0.585245 + 0.337891i
\(153\) 16.2942 + 2.37458i 1.31731 + 0.191973i
\(154\) −17.8888 20.8240i −1.44152 1.67804i
\(155\) 0.355211 0.0285313
\(156\) −4.03293 + 16.6242i −0.322893 + 1.33100i
\(157\) 1.07056 + 1.85426i 0.0854397 + 0.147986i 0.905578 0.424179i \(-0.139437\pi\)
−0.820139 + 0.572165i \(0.806104\pi\)
\(158\) −5.31200 + 19.8247i −0.422600 + 1.57716i
\(159\) 3.19408 + 2.16628i 0.253307 + 0.171797i
\(160\) 18.4881i 1.46161i
\(161\) 6.53880 1.23128i 0.515330 0.0970388i
\(162\) 9.32394 + 17.2320i 0.732558 + 1.35387i
\(163\) −9.55100 + 2.55918i −0.748092 + 0.200451i −0.612672 0.790338i \(-0.709905\pi\)
−0.135420 + 0.990788i \(0.543238\pi\)
\(164\) 19.7843 + 5.30119i 1.54489 + 0.413953i
\(165\) 8.85286 + 18.2688i 0.689194 + 1.42223i
\(166\) −9.52282 5.49800i −0.739114 0.426728i
\(167\) −12.8865 + 12.8865i −0.997189 + 0.997189i −0.999996 0.00280713i \(-0.999106\pi\)
0.00280713 + 0.999996i \(0.499106\pi\)
\(168\) 2.70500 + 6.86056i 0.208695 + 0.529303i
\(169\) −9.80838 + 8.53204i −0.754491 + 0.656311i
\(170\) −25.4466 14.6916i −1.95167 1.12680i
\(171\) 14.2661 + 6.14142i 1.09096 + 0.469646i
\(172\) −8.13867 14.0966i −0.620568 1.07485i
\(173\) 2.60418 4.51058i 0.197992 0.342933i −0.749885 0.661568i \(-0.769891\pi\)
0.947877 + 0.318635i \(0.103225\pi\)
\(174\) 19.1599 16.5701i 1.45251 1.25618i
\(175\) 2.61398 + 0.917239i 0.197598 + 0.0693368i
\(176\) −6.65669 + 6.65669i −0.501767 + 0.501767i
\(177\) −0.151075 0.787906i −0.0113555 0.0592226i
\(178\) −13.7147 23.7546i −1.02796 1.78048i
\(179\) 4.56727 + 7.91074i 0.341373 + 0.591276i 0.984688 0.174326i \(-0.0557746\pi\)
−0.643315 + 0.765602i \(0.722441\pi\)
\(180\) −2.36066 20.0695i −0.175953 1.49589i
\(181\) 2.12238i 0.157755i −0.996884 0.0788777i \(-0.974866\pi\)
0.996884 0.0788777i \(-0.0251337\pi\)
\(182\) −4.96288 + 20.1653i −0.367873 + 1.49475i
\(183\) −6.58673 0.477426i −0.486905 0.0352924i
\(184\) 1.04746 + 3.90919i 0.0772200 + 0.288189i
\(185\) −18.1056 + 10.4533i −1.33115 + 0.768540i
\(186\) −0.237519 0.490147i −0.0174158 0.0359393i
\(187\) −6.77099 25.2697i −0.495144 1.84790i
\(188\) −15.2424 15.2424i −1.11166 1.11166i
\(189\) 6.50221 + 12.1129i 0.472966 + 0.881081i
\(190\) −19.5980 19.5980i −1.42179 1.42179i
\(191\) −14.8560 8.57709i −1.07494 0.620617i −0.145413 0.989371i \(-0.546451\pi\)
−0.929527 + 0.368754i \(0.879784\pi\)
\(192\) 19.3540 9.37874i 1.39676 0.676852i
\(193\) −0.137798 + 0.514270i −0.00991893 + 0.0370180i −0.970708 0.240263i \(-0.922766\pi\)
0.960789 + 0.277281i \(0.0894331\pi\)
\(194\) −3.36651 + 5.83096i −0.241701 + 0.418639i
\(195\) 7.35974 13.4785i 0.527042 0.965214i
\(196\) 6.97400 + 17.8613i 0.498143 + 1.27581i
\(197\) 7.17858 + 7.17858i 0.511453 + 0.511453i 0.914971 0.403519i \(-0.132213\pi\)
−0.403519 + 0.914971i \(0.632213\pi\)
\(198\) 19.2890 24.4317i 1.37081 1.73628i
\(199\) 6.85599 3.95831i 0.486008 0.280597i −0.236909 0.971532i \(-0.576134\pi\)
0.722917 + 0.690935i \(0.242801\pi\)
\(200\) −0.436105 + 1.62757i −0.0308373 + 0.115086i
\(201\) 2.51805 + 13.1325i 0.177610 + 0.926295i
\(202\) 13.7704 + 13.7704i 0.968880 + 0.968880i
\(203\) 13.4825 11.5821i 0.946288 0.812906i
\(204\) −1.88261 + 25.9731i −0.131809 + 1.81848i
\(205\) −15.9240 9.19373i −1.11218 0.642118i
\(206\) 12.5476 + 3.36211i 0.874231 + 0.234249i
\(207\) 2.79064 + 7.00953i 0.193963 + 0.487196i
\(208\) 7.02391 + 1.17419i 0.487021 + 0.0814157i
\(209\) 24.6765i 1.70691i
\(210\) −2.78496 24.3735i −0.192180 1.68193i
\(211\) 15.6958 1.08054 0.540272 0.841490i \(-0.318321\pi\)
0.540272 + 0.841490i \(0.318321\pi\)
\(212\) −3.05180 + 5.28587i −0.209598 + 0.363035i
\(213\) −0.852185 + 2.45463i −0.0583907 + 0.168188i
\(214\) −17.2501 4.62214i −1.17919 0.315963i
\(215\) 3.78203 + 14.1147i 0.257932 + 0.962616i
\(216\) −7.04749 + 4.50062i −0.479521 + 0.306228i
\(217\) −0.165519 0.344474i −0.0112362 0.0233844i
\(218\) −22.7754 −1.54254
\(219\) −6.77082 + 1.29825i −0.457529 + 0.0877277i
\(220\) −27.8042 + 16.0528i −1.87456 + 1.08228i
\(221\) −12.5855 + 15.2726i −0.846589 + 1.02734i
\(222\) 26.5309 + 17.9937i 1.78064 + 1.20766i
\(223\) 1.57406 1.57406i 0.105407 0.105407i −0.652437 0.757843i \(-0.726253\pi\)
0.757843 + 0.652437i \(0.226253\pi\)
\(224\) 17.9292 8.61494i 1.19795 0.575610i
\(225\) −0.452981 + 3.10832i −0.0301988 + 0.207222i
\(226\) 4.02058 + 15.0050i 0.267445 + 0.998118i
\(227\) −0.366046 + 1.36610i −0.0242953 + 0.0906713i −0.977009 0.213198i \(-0.931612\pi\)
0.952714 + 0.303869i \(0.0982787\pi\)
\(228\) −8.05612 + 23.2048i −0.533530 + 1.53677i
\(229\) 7.42629 1.98987i 0.490743 0.131494i −0.00495750 0.999988i \(-0.501578\pi\)
0.495701 + 0.868494i \(0.334911\pi\)
\(230\) 13.4630i 0.887722i
\(231\) 13.5914 17.0980i 0.894249 1.12497i
\(232\) 7.64459 + 7.64459i 0.501892 + 0.501892i
\(233\) 2.68578 4.65191i 0.175951 0.304757i −0.764539 0.644578i \(-0.777033\pi\)
0.940490 + 0.339821i \(0.110367\pi\)
\(234\) −23.5198 1.14286i −1.53754 0.0747109i
\(235\) 9.67570 + 16.7588i 0.631173 + 1.09322i
\(236\) 1.22553 0.328380i 0.0797753 0.0213757i
\(237\) −16.2866 1.18050i −1.05793 0.0766820i
\(238\) −2.39008 + 31.5233i −0.154926 + 2.04336i
\(239\) −13.4671 13.4671i −0.871117 0.871117i 0.121477 0.992594i \(-0.461237\pi\)
−0.992594 + 0.121477i \(0.961237\pi\)
\(240\) −8.26199 + 1.58417i −0.533309 + 0.102258i
\(241\) 1.97802 7.38205i 0.127415 0.475520i −0.872499 0.488616i \(-0.837502\pi\)
0.999914 + 0.0130959i \(0.00416867\pi\)
\(242\) −24.6397 6.60219i −1.58390 0.424405i
\(243\) −12.0679 + 9.86741i −0.774156 + 0.632994i
\(244\) 10.4442i 0.668620i
\(245\) −1.89737 17.1086i −0.121219 1.09303i
\(246\) −2.03827 + 28.1207i −0.129956 + 1.79291i
\(247\) −15.1953 + 10.8425i −0.966851 + 0.689891i
\(248\) 0.201313 0.116228i 0.0127834 0.00738051i
\(249\) 2.86932 8.26476i 0.181836 0.523758i
\(250\) −10.5807 + 18.3264i −0.669185 + 1.15906i
\(251\) −8.00219 −0.505093 −0.252547 0.967585i \(-0.581268\pi\)
−0.252547 + 0.967585i \(0.581268\pi\)
\(252\) −18.3628 + 11.6411i −1.15675 + 0.733323i
\(253\) 8.47582 8.47582i 0.532870 0.532870i
\(254\) 3.85043 + 14.3700i 0.241597 + 0.901653i
\(255\) 7.66732 22.0849i 0.480146 1.38301i
\(256\) 0.639186 + 1.10710i 0.0399491 + 0.0691939i
\(257\) −9.59016 + 16.6106i −0.598218 + 1.03614i 0.394866 + 0.918739i \(0.370791\pi\)
−0.993084 + 0.117405i \(0.962542\pi\)
\(258\) 16.9476 14.6568i 1.05511 0.912493i
\(259\) 18.5740 + 12.6874i 1.15413 + 0.788355i
\(260\) 22.1017 + 10.0679i 1.37069 + 0.624384i
\(261\) 15.8183 + 12.4887i 0.979131 + 0.773033i
\(262\) −26.5252 7.10740i −1.63873 0.439096i
\(263\) −7.53957 + 4.35297i −0.464910 + 0.268416i −0.714106 0.700037i \(-0.753167\pi\)
0.249197 + 0.968453i \(0.419833\pi\)
\(264\) 10.9950 + 7.45699i 0.676696 + 0.458946i
\(265\) 3.87450 3.87450i 0.238009 0.238009i
\(266\) −9.87347 + 28.1378i −0.605381 + 1.72524i
\(267\) 16.5068 14.2756i 1.01020 0.873650i
\(268\) −20.4267 + 5.47331i −1.24776 + 0.334336i
\(269\) 21.6398 12.4937i 1.31940 0.761755i 0.335767 0.941945i \(-0.391004\pi\)
0.983632 + 0.180189i \(0.0576711\pi\)
\(270\) 26.5202 8.39376i 1.61397 0.510828i
\(271\) 12.5006 3.34953i 0.759358 0.203469i 0.141693 0.989911i \(-0.454745\pi\)
0.617665 + 0.786441i \(0.288079\pi\)
\(272\) 10.8409 0.657329
\(273\) −16.5005 0.856669i −0.998655 0.0518480i
\(274\) 8.41648 0.508458
\(275\) 4.82051 1.29165i 0.290688 0.0778896i
\(276\) −10.7374 + 5.20323i −0.646317 + 0.313198i
\(277\) −0.620700 + 0.358361i −0.0372943 + 0.0215318i −0.518531 0.855059i \(-0.673521\pi\)
0.481237 + 0.876591i \(0.340188\pi\)
\(278\) 21.8872 5.86466i 1.31271 0.351739i
\(279\) 0.347409 0.259031i 0.0207988 0.0155078i
\(280\) 10.2892 1.93750i 0.614897 0.115788i
\(281\) −3.99069 + 3.99069i −0.238065 + 0.238065i −0.816048 0.577984i \(-0.803840\pi\)
0.577984 + 0.816048i \(0.303840\pi\)
\(282\) 16.6552 24.5574i 0.991802 1.46237i
\(283\) −24.6339 + 14.2224i −1.46433 + 0.845433i −0.999207 0.0398118i \(-0.987324\pi\)
−0.465126 + 0.885245i \(0.653991\pi\)
\(284\) −3.96924 1.06355i −0.235531 0.0631103i
\(285\) 12.3774 18.2499i 0.733173 1.08103i
\(286\) 13.1077 + 35.0402i 0.775072 + 2.07197i
\(287\) −1.49567 + 19.7267i −0.0882865 + 1.16443i
\(288\) 13.4821 + 18.0820i 0.794439 + 1.06549i
\(289\) −6.56327 + 11.3679i −0.386075 + 0.668701i
\(290\) −17.9820 31.1457i −1.05594 1.82894i
\(291\) −5.06063 1.75693i −0.296660 0.102993i
\(292\) −2.82191 10.5315i −0.165140 0.616311i
\(293\) −2.08966 + 2.08966i −0.122079 + 0.122079i −0.765507 0.643428i \(-0.777512\pi\)
0.643428 + 0.765507i \(0.277512\pi\)
\(294\) −22.3390 + 14.0582i −1.30284 + 0.819889i
\(295\) −1.13901 −0.0663155
\(296\) −6.84081 + 11.8486i −0.397614 + 0.688688i
\(297\) 21.9806 + 11.4118i 1.27544 + 0.662177i
\(298\) 24.2850 14.0210i 1.40679 0.812213i
\(299\) −8.94339 1.49508i −0.517210 0.0864625i
\(300\) −4.95471 0.359132i −0.286060 0.0207345i
\(301\) 11.9257 10.2448i 0.687388 0.590499i
\(302\) 43.1314i 2.48193i
\(303\) −8.69687 + 12.8232i −0.499622 + 0.736672i
\(304\) 9.87730 + 2.64661i 0.566502 + 0.151794i
\(305\) −2.42670 + 9.05655i −0.138952 + 0.518577i
\(306\) −35.6013 + 4.18758i −2.03519 + 0.239388i
\(307\) 8.38594 + 8.38594i 0.478611 + 0.478611i 0.904687 0.426076i \(-0.140105\pi\)
−0.426076 + 0.904687i \(0.640105\pi\)
\(308\) 28.5235 + 19.4836i 1.62528 + 1.11018i
\(309\) −0.747174 + 10.3083i −0.0425052 + 0.586416i
\(310\) −0.746937 + 0.200141i −0.0424232 + 0.0113673i
\(311\) −12.4162 21.5056i −0.704061 1.21947i −0.967029 0.254664i \(-0.918035\pi\)
0.262969 0.964804i \(-0.415298\pi\)
\(312\) −0.239199 10.0470i −0.0135420 0.568799i
\(313\) −11.0459 + 19.1320i −0.624350 + 1.08141i 0.364316 + 0.931275i \(0.381303\pi\)
−0.988666 + 0.150131i \(0.952031\pi\)
\(314\) −3.29593 3.29593i −0.186000 0.186000i
\(315\) 18.6279 5.82790i 1.04957 0.328365i
\(316\) 25.8247i 1.45275i
\(317\) 23.2115 6.21949i 1.30369 0.349322i 0.460843 0.887482i \(-0.347547\pi\)
0.842843 + 0.538160i \(0.180880\pi\)
\(318\) −7.93708 2.75556i −0.445089 0.154524i
\(319\) 8.28743 30.9291i 0.464007 1.73170i
\(320\) −7.90282 29.4937i −0.441781 1.64875i
\(321\) 1.02720 14.1715i 0.0573324 0.790977i
\(322\) −13.0560 + 6.27338i −0.727583 + 0.349602i
\(323\) −20.0938 + 20.0938i −1.11805 + 1.11805i
\(324\) −16.9441 17.9072i −0.941339 0.994843i
\(325\) −2.91344 2.40084i −0.161608 0.133174i
\(326\) 18.6418 10.7629i 1.03248 0.596101i
\(327\) −3.41232 17.7964i −0.188702 0.984144i
\(328\) −12.0331 −0.664416
\(329\) 11.7436 17.1924i 0.647446 0.947847i
\(330\) −28.9092 33.4276i −1.59140 1.84013i
\(331\) 5.86810 + 21.9001i 0.322540 + 1.20374i 0.916762 + 0.399435i \(0.130794\pi\)
−0.594221 + 0.804301i \(0.702540\pi\)
\(332\) 13.3645 + 3.58100i 0.733471 + 0.196533i
\(333\) −10.0850 + 23.4268i −0.552657 + 1.28378i
\(334\) 19.8369 34.3585i 1.08543 1.88002i
\(335\) 18.9845 1.03723
\(336\) 5.38615 + 7.27407i 0.293839 + 0.396833i
\(337\) 5.28044i 0.287644i 0.989604 + 0.143822i \(0.0459393\pi\)
−0.989604 + 0.143822i \(0.954061\pi\)
\(338\) 15.8177 23.4676i 0.860370 1.27647i
\(339\) −11.1223 + 5.38976i −0.604083 + 0.292731i
\(340\) 35.7122 + 9.56907i 1.93677 + 0.518956i
\(341\) −0.596248 0.344244i −0.0322886 0.0186419i
\(342\) −33.4590 4.87604i −1.80926 0.263666i
\(343\) −15.7074 + 9.81218i −0.848118 + 0.529808i
\(344\) 6.76189 + 6.76189i 0.364577 + 0.364577i
\(345\) 10.5198 2.01709i 0.566368 0.108597i
\(346\) −2.93462 + 10.9521i −0.157766 + 0.588790i
\(347\) 13.9062 8.02875i 0.746524 0.431006i −0.0779126 0.996960i \(-0.524825\pi\)
0.824437 + 0.565954i \(0.191492\pi\)
\(348\) −17.8906 + 26.3789i −0.959036 + 1.41406i
\(349\) −2.94436 2.94436i −0.157608 0.157608i 0.623898 0.781506i \(-0.285548\pi\)
−0.781506 + 0.623898i \(0.785548\pi\)
\(350\) −6.01348 0.455939i −0.321434 0.0243710i
\(351\) −2.63085 18.5494i −0.140424 0.990091i
\(352\) 17.9172 31.0335i 0.954991 1.65409i
\(353\) −3.21868 + 12.0123i −0.171313 + 0.639349i 0.825837 + 0.563908i \(0.190703\pi\)
−0.997150 + 0.0754404i \(0.975964\pi\)
\(354\) 0.761619 + 1.57168i 0.0404796 + 0.0835340i
\(355\) 3.19477 + 1.84450i 0.169561 + 0.0978958i
\(356\) 24.4048 + 24.4048i 1.29345 + 1.29345i
\(357\) −24.9901 + 2.85541i −1.32262 + 0.151124i
\(358\) −14.0613 14.0613i −0.743161 0.743161i
\(359\) −6.52607 24.3556i −0.344433 1.28544i −0.893274 0.449514i \(-0.851597\pi\)
0.548841 0.835927i \(-0.315069\pi\)
\(360\) 4.39124 + 11.0299i 0.231439 + 0.581327i
\(361\) −6.75869 + 3.90213i −0.355721 + 0.205375i
\(362\) 1.19584 + 4.46294i 0.0628519 + 0.234567i
\(363\) 1.46723 20.2424i 0.0770095 1.06245i
\(364\) −0.535253 26.1250i −0.0280549 1.36932i
\(365\) 9.78797i 0.512326i
\(366\) 14.1196 2.70732i 0.738041 0.141514i
\(367\) −0.376014 0.651275i −0.0196277 0.0339963i 0.856045 0.516902i \(-0.172915\pi\)
−0.875672 + 0.482906i \(0.839581\pi\)
\(368\) 2.48358 + 4.30169i 0.129466 + 0.224241i
\(369\) −22.2786 + 2.62050i −1.15978 + 0.136418i
\(370\) 32.1826 32.1826i 1.67309 1.67309i
\(371\) −5.56279 1.95197i −0.288806 0.101341i
\(372\) 0.448303 + 0.518370i 0.0232434 + 0.0268763i
\(373\) 7.07918 12.2615i 0.366546 0.634876i −0.622477 0.782638i \(-0.713874\pi\)
0.989023 + 0.147762i \(0.0472070\pi\)
\(374\) 28.4760 + 49.3219i 1.47246 + 2.55037i
\(375\) −15.9053 5.52192i −0.821346 0.285151i
\(376\) 10.9673 + 6.33195i 0.565593 + 0.326545i
\(377\) −22.6869 + 8.48659i −1.16843 + 0.437082i
\(378\) −20.4977 21.8073i −1.05429 1.12164i
\(379\) 17.9801 17.9801i 0.923576 0.923576i −0.0737043 0.997280i \(-0.523482\pi\)
0.997280 + 0.0737043i \(0.0234821\pi\)
\(380\) 30.2017 + 17.4370i 1.54931 + 0.894497i
\(381\) −10.6516 + 5.16166i −0.545701 + 0.264440i
\(382\) 36.0718 + 9.66540i 1.84559 + 0.494525i
\(383\) −24.0940 + 6.45597i −1.23115 + 0.329885i −0.815026 0.579425i \(-0.803277\pi\)
−0.416121 + 0.909309i \(0.636611\pi\)
\(384\) −15.7141 + 13.5900i −0.801905 + 0.693513i
\(385\) −20.2069 23.5224i −1.02984 1.19881i
\(386\) 1.15905i 0.0589939i
\(387\) 13.9918 + 11.0467i 0.711245 + 0.561535i
\(388\) 2.19270 8.18327i 0.111317 0.415443i
\(389\) −2.97992 5.16137i −0.151088 0.261692i 0.780540 0.625106i \(-0.214944\pi\)
−0.931628 + 0.363414i \(0.881611\pi\)
\(390\) −7.88169 + 32.4893i −0.399105 + 1.64516i
\(391\) −13.8035 −0.698075
\(392\) −6.67342 9.07535i −0.337059 0.458375i
\(393\) 1.57950 21.7913i 0.0796753 1.09923i
\(394\) −19.1398 11.0504i −0.964250 0.556710i
\(395\) −6.00035 + 22.3936i −0.301910 + 1.12674i
\(396\) −15.4873 + 35.9758i −0.778265 + 1.80785i
\(397\) 15.3854 4.12252i 0.772173 0.206903i 0.148842 0.988861i \(-0.452446\pi\)
0.623331 + 0.781958i \(0.285779\pi\)
\(398\) −12.1865 + 12.1865i −0.610853 + 0.610853i
\(399\) −23.4658 3.49927i −1.17476 0.175183i
\(400\) 2.06805i 0.103402i
\(401\) 2.11854 + 7.90651i 0.105795 + 0.394832i 0.998434 0.0559396i \(-0.0178154\pi\)
−0.892639 + 0.450772i \(0.851149\pi\)
\(402\) −12.6944 26.1962i −0.633138 1.30655i
\(403\) 0.0500048 + 0.518413i 0.00249092 + 0.0258240i
\(404\) −21.2210 12.2519i −1.05578 0.609556i
\(405\) 10.5322 + 19.4650i 0.523348 + 0.967221i
\(406\) −21.8251 + 31.9515i −1.08316 + 1.58573i
\(407\) 40.5221 2.00861
\(408\) −2.88098 15.0253i −0.142630 0.743861i
\(409\) 16.0175 + 4.29187i 0.792014 + 0.212219i 0.632075 0.774907i \(-0.282204\pi\)
0.159939 + 0.987127i \(0.448870\pi\)
\(410\) 38.6651 + 10.3603i 1.90953 + 0.511658i
\(411\) 1.26100 + 6.57654i 0.0622006 + 0.324397i
\(412\) −16.3452 −0.805268
\(413\) 0.530746 + 1.10458i 0.0261163 + 0.0543526i
\(414\) −9.81762 13.1672i −0.482510 0.647135i
\(415\) −10.7568 6.21045i −0.528031 0.304859i
\(416\) −26.9824 + 2.60265i −1.32292 + 0.127606i
\(417\) 7.86183 + 16.2237i 0.384996 + 0.794480i
\(418\) 13.9038 + 51.8896i 0.680056 + 2.53800i
\(419\) 20.1671i 0.985227i 0.870248 + 0.492613i \(0.163958\pi\)
−0.870248 + 0.492613i \(0.836042\pi\)
\(420\) 11.3224 + 28.7165i 0.552476 + 1.40122i
\(421\) −26.5922 + 26.5922i −1.29603 + 1.29603i −0.365032 + 0.930995i \(0.618942\pi\)
−0.930995 + 0.365032i \(0.881058\pi\)
\(422\) −33.0051 + 8.84369i −1.60666 + 0.430504i
\(423\) 21.6842 + 9.33486i 1.05432 + 0.453876i
\(424\) 0.928072 3.46361i 0.0450712 0.168208i
\(425\) −4.97707 2.87351i −0.241423 0.139386i
\(426\) 0.408930 5.64174i 0.0198127 0.273343i
\(427\) 9.91357 1.86677i 0.479751 0.0903391i
\(428\) 22.4709 1.08617
\(429\) −25.4162 + 15.4921i −1.22710 + 0.747965i
\(430\) −15.9057 27.5494i −0.767039 1.32855i
\(431\) 4.11343 15.3515i 0.198137 0.739457i −0.793296 0.608837i \(-0.791637\pi\)
0.991433 0.130620i \(-0.0416968\pi\)
\(432\) −6.92528 + 7.57428i −0.333193 + 0.364418i
\(433\) 25.9562i 1.24738i −0.781674 0.623688i \(-0.785634\pi\)
0.781674 0.623688i \(-0.214366\pi\)
\(434\) 0.542144 + 0.631099i 0.0260237 + 0.0302937i
\(435\) 21.6428 18.7173i 1.03769 0.897427i
\(436\) 27.6811 7.41712i 1.32568 0.355216i
\(437\) −12.5765 3.36988i −0.601618 0.161203i
\(438\) 13.5062 6.54492i 0.645349 0.312729i
\(439\) 20.2673 + 11.7014i 0.967307 + 0.558475i 0.898414 0.439149i \(-0.144720\pi\)
0.0688930 + 0.997624i \(0.478053\pi\)
\(440\) 13.3372 13.3372i 0.635826 0.635826i
\(441\) −14.3318 15.3492i −0.682469 0.730915i
\(442\) 17.8594 39.2063i 0.849487 1.86485i
\(443\) −5.01259 2.89402i −0.238155 0.137499i 0.376173 0.926549i \(-0.377240\pi\)
−0.614329 + 0.789050i \(0.710573\pi\)
\(444\) −38.1054 13.2292i −1.80840 0.627832i
\(445\) −15.4919 26.8328i −0.734388 1.27200i
\(446\) −2.42303 + 4.19682i −0.114734 + 0.198725i
\(447\) 14.5943 + 16.8754i 0.690289 + 0.798177i
\(448\) −24.9197 + 21.4072i −1.17734 + 1.01140i
\(449\) −26.5167 + 26.5167i −1.25140 + 1.25140i −0.296306 + 0.955093i \(0.595755\pi\)
−0.955093 + 0.296306i \(0.904245\pi\)
\(450\) −0.798834 6.79140i −0.0376574 0.320150i
\(451\) 17.8197 + 30.8647i 0.839098 + 1.45336i
\(452\) −9.77317 16.9276i −0.459691 0.796209i
\(453\) 33.7024 6.46217i 1.58348 0.303619i
\(454\) 3.07888i 0.144499i
\(455\) −5.60599 + 22.7784i −0.262813 + 1.06787i
\(456\) 1.04325 14.3930i 0.0488546 0.674014i
\(457\) 7.71639 + 28.7979i 0.360957 + 1.34711i 0.872819 + 0.488043i \(0.162289\pi\)
−0.511862 + 0.859068i \(0.671044\pi\)
\(458\) −14.4948 + 8.36858i −0.677297 + 0.391038i
\(459\) −8.60609 27.1910i −0.401698 1.26917i
\(460\) 4.38440 + 16.3628i 0.204424 + 0.762920i
\(461\) −8.81742 8.81742i −0.410668 0.410668i 0.471303 0.881971i \(-0.343784\pi\)
−0.881971 + 0.471303i \(0.843784\pi\)
\(462\) −18.9462 + 43.6117i −0.881457 + 2.02900i
\(463\) 14.4568 + 14.4568i 0.671865 + 0.671865i 0.958146 0.286281i \(-0.0924191\pi\)
−0.286281 + 0.958146i \(0.592419\pi\)
\(464\) 11.4912 + 6.63445i 0.533466 + 0.307997i
\(465\) −0.268298 0.553662i −0.0124420 0.0256755i
\(466\) −3.02657 + 11.2953i −0.140203 + 0.523245i
\(467\) 18.7028 32.3942i 0.865463 1.49903i −0.00112372 0.999999i \(-0.500358\pi\)
0.866587 0.499027i \(-0.166309\pi\)
\(468\) 28.9581 6.27054i 1.33859 0.289856i
\(469\) −8.84626 18.4106i −0.408482 0.850124i
\(470\) −29.7887 29.7887i −1.37405 1.37405i
\(471\) 2.08159 3.06921i 0.0959145 0.141422i
\(472\) −0.645523 + 0.372693i −0.0297126 + 0.0171546i
\(473\) 7.33050 27.3578i 0.337057 1.25791i
\(474\) 34.9126 6.69422i 1.60359 0.307476i
\(475\) −3.83315 3.83315i −0.175877 0.175877i
\(476\) −7.36112 39.0917i −0.337397 1.79176i
\(477\) 0.963986 6.61480i 0.0441379 0.302871i
\(478\) 35.9066 + 20.7307i 1.64233 + 0.948200i
\(479\) 11.8330 + 3.17064i 0.540662 + 0.144870i 0.518808 0.854891i \(-0.326376\pi\)
0.0218549 + 0.999761i \(0.493043\pi\)
\(480\) 28.8170 13.9644i 1.31531 0.637385i
\(481\) −17.8048 24.9526i −0.811831 1.13774i
\(482\) 16.6375i 0.757815i
\(483\) −6.85807 9.26191i −0.312053 0.421432i
\(484\) 32.0970 1.45896
\(485\) −3.80275 + 6.58656i −0.172674 + 0.299080i
\(486\) 19.8166 27.5487i 0.898900 1.24964i
\(487\) −36.7774 9.85446i −1.66654 0.446548i −0.702366 0.711816i \(-0.747873\pi\)
−0.964175 + 0.265267i \(0.914540\pi\)
\(488\) 1.58807 + 5.92677i 0.0718887 + 0.268292i
\(489\) 11.2030 + 12.9540i 0.506617 + 0.585799i
\(490\) 13.6295 + 34.9069i 0.615719 + 1.57693i
\(491\) −16.1498 −0.728832 −0.364416 0.931236i \(-0.618731\pi\)
−0.364416 + 0.931236i \(0.618731\pi\)
\(492\) −6.68059 34.8415i −0.301184 1.57078i
\(493\) −31.9336 + 18.4369i −1.43822 + 0.830355i
\(494\) 25.8434 31.3612i 1.16275 1.41101i
\(495\) 21.7886 27.5976i 0.979324 1.24042i
\(496\) 0.201740 0.201740i 0.00905840 0.00905840i
\(497\) 0.300069 3.95768i 0.0134600 0.177526i
\(498\) −1.37687 + 18.9958i −0.0616992 + 0.851222i
\(499\) −10.0967 37.6813i −0.451989 1.68685i −0.696793 0.717273i \(-0.745390\pi\)
0.244804 0.969573i \(-0.421276\pi\)
\(500\) 6.89154 25.7196i 0.308199 1.15021i
\(501\) 29.8194 + 10.3526i 1.33223 + 0.462518i
\(502\) 16.8270 4.50877i 0.751024 0.201236i
\(503\) 35.0273i 1.56179i 0.624662 + 0.780895i \(0.285237\pi\)
−0.624662 + 0.780895i \(0.714763\pi\)
\(504\) 8.65030 9.39814i 0.385315 0.418626i
\(505\) 15.5548 + 15.5548i 0.692179 + 0.692179i
\(506\) −13.0473 + 22.5986i −0.580023 + 1.00463i
\(507\) 20.7072 + 8.84374i 0.919639 + 0.392764i
\(508\) −9.35957 16.2113i −0.415264 0.719258i
\(509\) 19.3256 5.17827i 0.856591 0.229523i 0.196311 0.980542i \(-0.437104\pi\)
0.660281 + 0.751019i \(0.270437\pi\)
\(510\) −3.67925 + 50.7601i −0.162920 + 2.24770i
\(511\) 9.49210 4.56093i 0.419906 0.201764i
\(512\) 14.9952 + 14.9952i 0.662702 + 0.662702i
\(513\) −1.20292 26.8750i −0.0531102 1.18656i
\(514\) 10.8070 40.3323i 0.476677 1.77898i
\(515\) 14.1735 + 3.79779i 0.624560 + 0.167350i
\(516\) −15.8248 + 23.3330i −0.696649 + 1.02718i
\(517\) 37.5078i 1.64959i
\(518\) −46.2060 16.2136i −2.03017 0.712383i
\(519\) −8.99755 0.652170i −0.394949 0.0286271i
\(520\) −14.0730 2.35259i −0.617140 0.103168i
\(521\) 24.9220 14.3888i 1.09185 0.630383i 0.157785 0.987473i \(-0.449565\pi\)
0.934070 + 0.357091i \(0.116231\pi\)
\(522\) −40.2994 17.3485i −1.76386 0.759325i
\(523\) −11.0459 + 19.1320i −0.483001 + 0.836583i −0.999809 0.0195183i \(-0.993787\pi\)
0.516808 + 0.856101i \(0.327120\pi\)
\(524\) 34.5532 1.50946
\(525\) −0.544705 4.76718i −0.0237729 0.208057i
\(526\) 13.4015 13.4015i 0.584334 0.584334i
\(527\) 0.205204 + 0.765832i 0.00893883 + 0.0333602i
\(528\) 15.4036 + 5.34775i 0.670356 + 0.232731i
\(529\) 8.33771 + 14.4413i 0.362509 + 0.627884i
\(530\) −5.96422 + 10.3303i −0.259069 + 0.448721i
\(531\) −1.11399 + 0.830598i −0.0483429 + 0.0360449i
\(532\) 2.83670 37.4139i 0.122987 1.62210i
\(533\) 11.1761 24.5345i 0.484090 1.06271i
\(534\) −26.6669 + 39.3192i −1.15399 + 1.70151i
\(535\) −19.4854 5.22110i −0.842427 0.225728i
\(536\) 10.7593 6.21189i 0.464732 0.268313i
\(537\) 8.88059 13.0941i 0.383226 0.565050i
\(538\) −38.4645 + 38.4645i −1.65832 + 1.65832i
\(539\) −13.3955 + 30.5569i −0.576986 + 1.31618i
\(540\) −29.4989 + 18.8384i −1.26943 + 0.810675i
\(541\) 4.96750 1.33104i 0.213570 0.0572258i −0.150448 0.988618i \(-0.548072\pi\)
0.364017 + 0.931392i \(0.381405\pi\)
\(542\) −24.3990 + 14.0867i −1.04803 + 0.605078i
\(543\) −3.30812 + 1.60308i −0.141965 + 0.0687946i
\(544\) −39.8601 + 10.6805i −1.70899 + 0.457922i
\(545\) −25.7267 −1.10201
\(546\) 35.1798 7.49568i 1.50556 0.320785i
\(547\) 20.5913 0.880420 0.440210 0.897895i \(-0.354904\pi\)
0.440210 + 0.897895i \(0.354904\pi\)
\(548\) −10.2293 + 2.74094i −0.436976 + 0.117087i
\(549\) 4.23093 + 10.6272i 0.180572 + 0.453560i
\(550\) −9.40878 + 5.43216i −0.401192 + 0.231628i
\(551\) −33.5961 + 9.00203i −1.43124 + 0.383500i
\(552\) 5.30201 4.58535i 0.225669 0.195165i
\(553\) 24.5127 4.61584i 1.04239 0.196286i
\(554\) 1.10329 1.10329i 0.0468743 0.0468743i
\(555\) 29.9689 + 20.3253i 1.27211 + 0.862763i
\(556\) −24.6917 + 14.2557i −1.04716 + 0.604578i
\(557\) 19.3349 + 5.18078i 0.819247 + 0.219517i 0.644017 0.765011i \(-0.277266\pi\)
0.175230 + 0.984528i \(0.443933\pi\)
\(558\) −0.584581 + 0.740435i −0.0247473 + 0.0313451i
\(559\) −20.0673 + 7.50667i −0.848756 + 0.317498i
\(560\) 11.5826 5.56541i 0.489454 0.235181i
\(561\) −34.2731 + 29.6405i −1.44701 + 1.25142i
\(562\) 6.14309 10.6401i 0.259130 0.448827i
\(563\) −2.21469 3.83595i −0.0933379 0.161666i 0.815576 0.578650i \(-0.196420\pi\)
−0.908914 + 0.416984i \(0.863087\pi\)
\(564\) −12.2452 + 35.2709i −0.515615 + 1.48517i
\(565\) 4.54158 + 16.9494i 0.191066 + 0.713067i
\(566\) 43.7866 43.7866i 1.84049 1.84049i
\(567\) 13.9689 19.2840i 0.586637 0.809850i
\(568\) 2.41415 0.101295
\(569\) 20.4092 35.3497i 0.855597 1.48194i −0.0204933 0.999790i \(-0.506524\pi\)
0.876090 0.482147i \(-0.160143\pi\)
\(570\) −15.7443 + 45.3499i −0.659458 + 1.89950i
\(571\) 17.0115 9.82158i 0.711908 0.411020i −0.0998591 0.995002i \(-0.531839\pi\)
0.811767 + 0.583981i \(0.198506\pi\)
\(572\) −27.3423 38.3190i −1.14324 1.60220i
\(573\) −2.14798 + 29.6342i −0.0897330 + 1.23799i
\(574\) −7.96978 42.3239i −0.332652 1.76657i
\(575\) 2.63320i 0.109812i
\(576\) −29.2370 23.0829i −1.21821 0.961787i
\(577\) 0.238207 + 0.0638272i 0.00991667 + 0.00265716i 0.263774 0.964585i \(-0.415033\pi\)
−0.253857 + 0.967242i \(0.581699\pi\)
\(578\) 7.39605 27.6024i 0.307635 1.14811i
\(579\) 0.905666 0.173654i 0.0376382 0.00721683i
\(580\) 31.9982 + 31.9982i 1.32865 + 1.32865i
\(581\) −1.01034 + 13.3256i −0.0419159 + 0.552838i
\(582\) 11.6314 + 0.843080i 0.482137 + 0.0349468i
\(583\) −10.2585 + 2.74875i −0.424863 + 0.113842i
\(584\) 3.20271 + 5.54725i 0.132529 + 0.229547i
\(585\) −26.5676 1.29095i −1.09844 0.0533743i
\(586\) 3.21673 5.57153i 0.132882 0.230158i
\(587\) −2.45034 2.45034i −0.101136 0.101136i 0.654728 0.755865i \(-0.272783\pi\)
−0.755865 + 0.654728i \(0.772783\pi\)
\(588\) 22.5725 24.3612i 0.930875 1.00464i
\(589\) 0.747854i 0.0308148i
\(590\) 2.39510 0.641764i 0.0986045 0.0264210i
\(591\) 5.76701 16.6113i 0.237223 0.683296i
\(592\) −4.34610 + 16.2199i −0.178623 + 0.666632i
\(593\) 11.2305 + 41.9126i 0.461180 + 1.72115i 0.669255 + 0.743033i \(0.266614\pi\)
−0.208075 + 0.978113i \(0.566720\pi\)
\(594\) −52.6506 11.6118i −2.16028 0.476438i
\(595\) −2.69980 + 35.6083i −0.110681 + 1.45980i
\(596\) −24.9498 + 24.9498i −1.02198 + 1.02198i
\(597\) −11.3482 7.69653i −0.464451 0.314998i
\(598\) 19.6485 1.89525i 0.803488 0.0775024i
\(599\) 17.3573 10.0213i 0.709201 0.409457i −0.101564 0.994829i \(-0.532385\pi\)
0.810765 + 0.585372i \(0.199051\pi\)
\(600\) 2.86626 0.549583i 0.117015 0.0224366i
\(601\) 19.4751 0.794404 0.397202 0.917731i \(-0.369981\pi\)
0.397202 + 0.917731i \(0.369981\pi\)
\(602\) −19.3051 + 28.2622i −0.786815 + 1.15188i
\(603\) 18.5675 13.8441i 0.756126 0.563775i
\(604\) 14.0463 + 52.4217i 0.571538 + 2.13301i
\(605\) −27.8326 7.45772i −1.13156 0.303200i
\(606\) 11.0626 31.8647i 0.449388 1.29441i
\(607\) −11.6923 + 20.2516i −0.474574 + 0.821986i −0.999576 0.0291146i \(-0.990731\pi\)
0.525002 + 0.851101i \(0.324065\pi\)
\(608\) −38.9244 −1.57859
\(609\) −28.2365 12.2668i −1.14420 0.497075i
\(610\) 20.4114i 0.826433i
\(611\) −23.0965 + 16.4804i −0.934386 + 0.666726i
\(612\) 41.9058 16.6836i 1.69394 0.674395i
\(613\) 37.8121 + 10.1317i 1.52722 + 0.409217i 0.922110 0.386927i \(-0.126463\pi\)
0.605107 + 0.796144i \(0.293130\pi\)
\(614\) −22.3589 12.9089i −0.902332 0.520962i
\(615\) −2.30240 + 31.7647i −0.0928418 + 1.28088i
\(616\) −19.1488 6.71927i −0.771528 0.270727i
\(617\) 33.8323 + 33.8323i 1.36204 + 1.36204i 0.871315 + 0.490723i \(0.163267\pi\)
0.490723 + 0.871315i \(0.336733\pi\)
\(618\) −4.23696 22.0971i −0.170435 0.888878i
\(619\) −2.72256 + 10.1607i −0.109429 + 0.408394i −0.998810 0.0487727i \(-0.984469\pi\)
0.889381 + 0.457167i \(0.151136\pi\)
\(620\) 0.842645 0.486501i 0.0338414 0.0195384i
\(621\) 8.81781 9.64416i 0.353846 0.387007i
\(622\) 38.2260 + 38.2260i 1.53272 + 1.53272i
\(623\) −18.8029 + 27.5270i −0.753322 + 1.10285i
\(624\) −3.47510 11.8349i −0.139115 0.473777i
\(625\) −14.5695 + 25.2351i −0.582779 + 1.00940i
\(626\) 12.4474 46.4545i 0.497500 1.85669i
\(627\) −38.4628 + 18.6386i −1.53606 + 0.744355i
\(628\) 5.07922 + 2.93249i 0.202683 + 0.117019i
\(629\) −32.9967 32.9967i −1.31566 1.31566i
\(630\) −35.8871 + 22.7507i −1.42977 + 0.906408i
\(631\) −14.7455 14.7455i −0.587010 0.587010i 0.349811 0.936820i \(-0.386246\pi\)
−0.936820 + 0.349811i \(0.886246\pi\)
\(632\) 3.92673 + 14.6548i 0.156197 + 0.582935i
\(633\) −11.8553 24.4648i −0.471208 0.972388i
\(634\) −45.3047 + 26.1567i −1.79928 + 1.03881i
\(635\) 4.34938 + 16.2321i 0.172600 + 0.644151i
\(636\) 10.5441 + 0.764266i 0.418100 + 0.0303051i
\(637\) 24.7021 5.17758i 0.978732 0.205143i
\(638\) 69.7071i 2.75973i
\(639\) 4.46966 0.525741i 0.176817 0.0207980i
\(640\) 14.7480 + 25.5442i 0.582965 + 1.00972i
\(641\) 14.0986 + 24.4194i 0.556860 + 0.964510i 0.997756 + 0.0669516i \(0.0213273\pi\)
−0.440896 + 0.897558i \(0.645339\pi\)
\(642\) 5.82486 + 30.3786i 0.229889 + 1.19895i
\(643\) −13.6484 + 13.6484i −0.538242 + 0.538242i −0.923012 0.384771i \(-0.874281\pi\)
0.384771 + 0.923012i \(0.374281\pi\)
\(644\) 13.8252 11.8765i 0.544789 0.468000i
\(645\) 19.1437 16.5561i 0.753784 0.651896i
\(646\) 30.9314 53.5748i 1.21698 2.10787i
\(647\) 11.3387 + 19.6392i 0.445771 + 0.772098i 0.998106 0.0615242i \(-0.0195961\pi\)
−0.552334 + 0.833623i \(0.686263\pi\)
\(648\) 12.3381 + 7.58539i 0.484688 + 0.297982i
\(649\) 1.91190 + 1.10384i 0.0750487 + 0.0433294i
\(650\) 7.47910 + 3.40692i 0.293354 + 0.133630i
\(651\) −0.411906 + 0.518180i −0.0161439 + 0.0203091i
\(652\) −19.1521 + 19.1521i −0.750055 + 0.750055i
\(653\) 17.0735 + 9.85742i 0.668140 + 0.385751i 0.795371 0.606122i \(-0.207276\pi\)
−0.127232 + 0.991873i \(0.540609\pi\)
\(654\) 17.2027 + 35.4996i 0.672678 + 1.38814i
\(655\) −29.9624 8.02840i −1.17073 0.313696i
\(656\) −14.2655 + 3.82242i −0.556973 + 0.149241i
\(657\) 7.13769 + 9.57296i 0.278468 + 0.373477i
\(658\) −15.0075 + 42.7689i −0.585054 + 1.66731i
\(659\) 45.7952i 1.78393i −0.452106 0.891964i \(-0.649327\pi\)
0.452106 0.891964i \(-0.350673\pi\)
\(660\) 46.0222 + 31.2130i 1.79141 + 1.21496i
\(661\) 9.91509 37.0036i 0.385652 1.43927i −0.451484 0.892279i \(-0.649105\pi\)
0.837136 0.546994i \(-0.184228\pi\)
\(662\) −24.6789 42.7450i −0.959171 1.66133i
\(663\) 33.3111 + 8.08107i 1.29370 + 0.313843i
\(664\) −8.12846 −0.315445
\(665\) −11.1529 + 31.7840i −0.432491 + 1.23253i
\(666\) 8.00711 54.9442i 0.310269 2.12904i
\(667\) −14.6315 8.44750i −0.566534 0.327088i
\(668\) −12.9203 + 48.2193i −0.499903 + 1.86566i
\(669\) −3.64238 1.26454i −0.140822 0.0488900i
\(670\) −39.9205 + 10.6967i −1.54226 + 0.413248i
\(671\) 12.8503 12.8503i 0.496081 0.496081i
\(672\) −26.9702 21.4389i −1.04040 0.827025i
\(673\) 51.4178i 1.98201i −0.133822 0.991005i \(-0.542725\pi\)
0.133822 0.991005i \(-0.457275\pi\)
\(674\) −2.97523 11.1037i −0.114601 0.427699i
\(675\) 5.18704 1.64172i 0.199649 0.0631899i
\(676\) −11.5822 + 33.6736i −0.445469 + 1.29514i
\(677\) −38.9026 22.4604i −1.49515 0.863225i −0.495165 0.868799i \(-0.664892\pi\)
−0.999984 + 0.00557453i \(0.998226\pi\)
\(678\) 20.3512 17.6004i 0.781584 0.675938i
\(679\) 8.15944 + 0.618645i 0.313131 + 0.0237414i
\(680\) −21.7207 −0.832950
\(681\) 2.40580 0.461293i 0.0921905 0.0176768i
\(682\) 1.44775 + 0.387923i 0.0554372 + 0.0148544i
\(683\) −18.1200 4.85525i −0.693344 0.185781i −0.105097 0.994462i \(-0.533515\pi\)
−0.588247 + 0.808681i \(0.700182\pi\)
\(684\) 42.2539 4.97008i 1.61562 0.190036i
\(685\) 9.50712 0.363248
\(686\) 27.5008 29.4832i 1.04998 1.12567i
\(687\) −8.71079 10.0722i −0.332338 0.384280i
\(688\) 10.1643 + 5.86839i 0.387512 + 0.223730i
\(689\) 6.20006 + 5.10920i 0.236204 + 0.194645i
\(690\) −20.9845 + 10.1688i −0.798866 + 0.387121i
\(691\) −3.31054 12.3551i −0.125939 0.470010i 0.873933 0.486047i \(-0.161562\pi\)
−0.999871 + 0.0160371i \(0.994895\pi\)
\(692\) 14.2669i 0.542345i
\(693\) −36.9163 8.27023i −1.40233 0.314160i
\(694\) −24.7182 + 24.7182i −0.938289 + 0.938289i
\(695\) 24.7234 6.62462i 0.937813 0.251286i
\(696\) 6.14139 17.6896i 0.232789 0.670523i
\(697\) 10.6224 39.6432i 0.402351 1.50159i
\(698\) 7.85036 + 4.53241i 0.297141 + 0.171554i
\(699\) −9.27948 0.672605i −0.350982 0.0254402i
\(700\) 7.45724 1.40423i 0.281857 0.0530748i
\(701\) 29.4978 1.11411 0.557057 0.830474i \(-0.311930\pi\)
0.557057 + 0.830474i \(0.311930\pi\)
\(702\) 15.9836 + 37.5232i 0.603263 + 1.41622i
\(703\) −22.0081 38.1192i −0.830051 1.43769i
\(704\) −15.3176 + 57.1661i −0.577305 + 2.15453i
\(705\) 18.8134 27.7396i 0.708555 1.04473i
\(706\) 27.0729i 1.01890i
\(707\) 7.83650 22.3327i 0.294722 0.839908i
\(708\) −1.43751 1.66218i −0.0540249 0.0624687i
\(709\) 2.94418 0.788891i 0.110571 0.0296274i −0.203109 0.979156i \(-0.565105\pi\)
0.313680 + 0.949529i \(0.398438\pi\)
\(710\) −7.75721 2.07854i −0.291123 0.0780062i
\(711\) 10.4616 + 26.2773i 0.392340 + 0.985477i
\(712\) −17.5599 10.1382i −0.658084 0.379945i
\(713\) −0.256871 + 0.256871i −0.00961991 + 0.00961991i
\(714\) 50.9402 20.0848i 1.90639 0.751655i
\(715\) 14.8062 + 39.5809i 0.553721 + 1.48024i
\(716\) 21.6692 + 12.5107i 0.809818 + 0.467548i
\(717\) −10.8190 + 31.1630i −0.404043 + 1.16380i
\(718\) 27.4460 + 47.5378i 1.02428 + 1.77410i
\(719\) 14.5777 25.2494i 0.543657 0.941642i −0.455033 0.890475i \(-0.650372\pi\)
0.998690 0.0511676i \(-0.0162943\pi\)
\(720\) 8.70966 + 11.6813i 0.324590 + 0.435335i
\(721\) −2.92149 15.5148i −0.108802 0.577800i
\(722\) 12.0135 12.0135i 0.447097 0.447097i
\(723\) −13.0003 + 2.49271i −0.483487 + 0.0927048i
\(724\) −2.90683 5.03478i −0.108032 0.187116i
\(725\) −3.51707 6.09174i −0.130621 0.226242i
\(726\) 8.32012 + 43.3922i 0.308789 + 1.61044i
\(727\) 30.9328i 1.14723i 0.819124 + 0.573617i \(0.194460\pi\)
−0.819124 + 0.573617i \(0.805540\pi\)
\(728\) 4.27614 + 14.7438i 0.158484 + 0.546442i
\(729\) 24.4953 + 11.3570i 0.907233 + 0.420629i
\(730\) −5.51496 20.5821i −0.204118 0.761778i
\(731\) −28.2463 + 16.3080i −1.04473 + 0.603174i
\(732\) −16.2792 + 7.88869i −0.601695 + 0.291574i
\(733\) −2.63278 9.82567i −0.0972440 0.362920i 0.900106 0.435671i \(-0.143489\pi\)
−0.997350 + 0.0727512i \(0.976822\pi\)
\(734\) 1.15764 + 1.15764i 0.0427291 + 0.0427291i
\(735\) −25.2338 + 15.8799i −0.930764 + 0.585738i
\(736\) −13.3697 13.3697i −0.492812 0.492812i
\(737\) −31.8668 18.3983i −1.17383 0.677711i
\(738\) 45.3708 18.0631i 1.67012 0.664912i
\(739\) −6.46329 + 24.1213i −0.237756 + 0.887317i 0.739131 + 0.673562i \(0.235236\pi\)
−0.976887 + 0.213756i \(0.931430\pi\)
\(740\) −28.6338 + 49.5952i −1.05260 + 1.82316i
\(741\) 28.3773 + 15.4950i 1.04247 + 0.569224i
\(742\) 12.7972 + 0.970280i 0.469801 + 0.0356201i
\(743\) −1.14510 1.14510i −0.0420095 0.0420095i 0.685790 0.727800i \(-0.259457\pi\)
−0.727800 + 0.685790i \(0.759457\pi\)
\(744\) −0.333219 0.225994i −0.0122164 0.00828535i
\(745\) 27.4320 15.8379i 1.00503 0.580255i
\(746\) −7.97742 + 29.7721i −0.292074 + 1.09003i
\(747\) −15.0494 + 1.77018i −0.550628 + 0.0647673i
\(748\) −50.6719 50.6719i −1.85275 1.85275i
\(749\) 4.01639 + 21.3293i 0.146756 + 0.779355i
\(750\) 36.5569 + 2.64975i 1.33487 + 0.0967553i
\(751\) −5.11825 2.95502i −0.186768 0.107830i 0.403701 0.914891i \(-0.367724\pi\)
−0.590468 + 0.807061i \(0.701057\pi\)
\(752\) 15.0133 + 4.02281i 0.547480 + 0.146697i
\(753\) 6.04421 + 12.4729i 0.220263 + 0.454537i
\(754\) 42.9242 30.6283i 1.56321 1.11542i
\(755\) 48.7205i 1.77312i
\(756\) 32.0146 + 19.8290i 1.16436 + 0.721175i
\(757\) −44.8795 −1.63117 −0.815587 0.578634i \(-0.803586\pi\)
−0.815587 + 0.578634i \(0.803586\pi\)
\(758\) −27.6777 + 47.9392i −1.00530 + 1.74123i
\(759\) −19.6131 6.80917i −0.711909 0.247157i
\(760\) −19.7899 5.30270i −0.717857 0.192349i
\(761\) −9.67928 36.1236i −0.350874 1.30948i −0.885598 0.464452i \(-0.846251\pi\)
0.534725 0.845026i \(-0.320415\pi\)
\(762\) 19.4899 16.8555i 0.706046 0.610611i
\(763\) 11.9879 + 24.9490i 0.433993 + 0.903216i
\(764\) −46.9891 −1.70001
\(765\) −40.2146 + 4.73022i −1.45396 + 0.171021i
\(766\) 47.0272 27.1512i 1.69916 0.981012i
\(767\) −0.160343 1.66232i −0.00578966 0.0600229i
\(768\) 1.24283 1.83250i 0.0448468 0.0661248i
\(769\) −5.70168 + 5.70168i −0.205608 + 0.205608i −0.802398 0.596790i \(-0.796443\pi\)
0.596790 + 0.802398i \(0.296443\pi\)
\(770\) 55.7445 + 38.0774i 2.00889 + 1.37221i
\(771\) 33.1344 + 2.40168i 1.19330 + 0.0864944i
\(772\) 0.377460 + 1.40870i 0.0135851 + 0.0507002i
\(773\) 8.53887 31.8675i