Properties

Label 370.2.q.e.103.2
Level $370$
Weight $2$
Character 370.103
Analytic conductor $2.954$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.q (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 103.2
Root \(0.792206 - 1.03242i\) of defining polynomial
Character \(\chi\) \(=\) 370.103
Dual form 370.2.q.e.97.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.758819 - 2.83195i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.23553 + 0.0488750i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(-0.644560 - 2.40553i) q^{7} +1.00000 q^{8} +(-4.84607 + 2.79788i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.758819 - 2.83195i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.23553 + 0.0488750i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(-0.644560 - 2.40553i) q^{7} +1.00000 q^{8} +(-4.84607 + 2.79788i) q^{9} +(-1.07544 - 1.96047i) q^{10} -2.91448i q^{11} +(2.83195 + 0.758819i) q^{12} +(1.47090 - 2.54768i) q^{13} +(-1.76097 + 1.76097i) q^{14} +(-1.55795 - 6.36801i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-3.89735 + 2.25013i) q^{17} +(4.84607 + 2.79788i) q^{18} +(-3.54266 + 0.949252i) q^{19} +(-1.16009 + 1.91159i) q^{20} +(-6.32324 + 3.65072i) q^{21} +(-2.52402 + 1.45724i) q^{22} +6.99801 q^{23} +(-0.758819 - 2.83195i) q^{24} +(4.99522 + 0.218523i) q^{25} -2.94180 q^{26} +(5.38134 + 5.38134i) q^{27} +(2.40553 + 0.644560i) q^{28} +(-3.87126 + 3.87126i) q^{29} +(-4.73588 + 4.53323i) q^{30} +(3.48791 + 3.48791i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-8.25367 + 2.21156i) q^{33} +(3.89735 + 2.25013i) q^{34} +(-1.32336 - 5.40914i) q^{35} -5.59575i q^{36} +(2.51884 + 5.53674i) q^{37} +(2.59340 + 2.59340i) q^{38} +(-8.33105 - 2.23230i) q^{39} +(2.23553 + 0.0488750i) q^{40} +(-4.86771 - 2.81037i) q^{41} +(6.32324 + 3.65072i) q^{42} -9.87439 q^{43} +(2.52402 + 1.45724i) q^{44} +(-10.9703 + 6.01790i) q^{45} +(-3.49901 - 6.06046i) q^{46} +(6.90478 - 6.90478i) q^{47} +(-2.07313 + 2.07313i) q^{48} +(0.691065 - 0.398986i) q^{49} +(-2.30836 - 4.43525i) q^{50} +(9.32965 + 9.32965i) q^{51} +(1.47090 + 2.54768i) q^{52} +(2.56216 - 9.56210i) q^{53} +(1.96971 - 7.35105i) q^{54} +(0.142445 - 6.51542i) q^{55} +(-0.644560 - 2.40553i) q^{56} +(5.37647 + 9.31232i) q^{57} +(5.28823 + 1.41698i) q^{58} +(-1.43261 + 5.34659i) q^{59} +(6.29384 + 1.83478i) q^{60} +(4.95025 - 1.32641i) q^{61} +(1.27666 - 4.76457i) q^{62} +(9.85395 + 9.85395i) q^{63} +1.00000 q^{64} +(3.41277 - 5.62353i) q^{65} +(6.04211 + 6.04211i) q^{66} +(-3.36263 + 0.901014i) q^{67} -4.50027i q^{68} +(-5.31023 - 19.8180i) q^{69} +(-4.02277 + 3.85064i) q^{70} +(8.12975 - 14.0811i) q^{71} +(-4.84607 + 2.79788i) q^{72} +(1.91840 - 1.91840i) q^{73} +(3.53553 - 4.94975i) q^{74} +(-3.17162 - 14.3120i) q^{75} +(0.949252 - 3.54266i) q^{76} +(-7.01087 + 1.87856i) q^{77} +(2.23230 + 8.33105i) q^{78} +(4.93645 - 1.32272i) q^{79} +(-1.07544 - 1.96047i) q^{80} +(2.76260 - 4.78497i) q^{81} +5.62075i q^{82} +(2.48451 - 9.27233i) q^{83} -7.30145i q^{84} +(-8.82263 + 4.83977i) q^{85} +(4.93719 + 8.55147i) q^{86} +(13.9008 + 8.02562i) q^{87} -2.91448i q^{88} +(5.84994 + 1.56749i) q^{89} +(10.6968 + 6.49160i) q^{90} +(-7.07660 - 1.89617i) q^{91} +(-3.49901 + 6.06046i) q^{92} +(7.23090 - 12.5243i) q^{93} +(-9.43211 - 2.52733i) q^{94} +(-7.96612 + 1.94894i) q^{95} +(2.83195 + 0.758819i) q^{96} +1.22093i q^{97} +(-0.691065 - 0.398986i) q^{98} +(8.15436 + 14.1238i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9} - 4 q^{10} + 16 q^{12} - 4 q^{13} + 8 q^{15} - 8 q^{16} + 24 q^{18} - 24 q^{19} + 8 q^{20} - 12 q^{21} - 8 q^{23} - 8 q^{24} + 32 q^{25} + 8 q^{26} + 16 q^{27} + 16 q^{29} - 4 q^{30} + 24 q^{31} - 8 q^{32} + 12 q^{33} - 20 q^{35} - 4 q^{40} - 36 q^{41} + 12 q^{42} - 16 q^{43} + 4 q^{45} + 4 q^{46} + 32 q^{47} - 8 q^{48} + 24 q^{49} - 16 q^{50} - 16 q^{51} - 4 q^{52} - 48 q^{53} - 8 q^{54} - 24 q^{55} + 20 q^{57} - 8 q^{58} - 8 q^{59} - 4 q^{60} + 8 q^{61} - 12 q^{62} + 16 q^{63} + 16 q^{64} + 24 q^{65} - 24 q^{66} - 8 q^{67} - 8 q^{69} + 28 q^{70} + 4 q^{71} - 24 q^{72} + 48 q^{73} - 36 q^{75} + 24 q^{76} - 60 q^{77} + 20 q^{79} - 4 q^{80} + 16 q^{81} + 24 q^{83} + 8 q^{85} + 8 q^{86} + 12 q^{87} - 8 q^{89} - 8 q^{90} - 8 q^{91} + 4 q^{92} + 36 q^{93} - 28 q^{94} + 28 q^{95} + 16 q^{96} - 24 q^{98} + 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −0.758819 2.83195i −0.438104 1.63503i −0.733526 0.679661i \(-0.762127\pi\)
0.295422 0.955367i \(-0.404540\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 2.23553 + 0.0488750i 0.999761 + 0.0218576i
\(6\) −2.07313 + 2.07313i −0.846353 + 0.846353i
\(7\) −0.644560 2.40553i −0.243621 0.909205i −0.974072 0.226240i \(-0.927357\pi\)
0.730451 0.682965i \(-0.239310\pi\)
\(8\) 1.00000 0.353553
\(9\) −4.84607 + 2.79788i −1.61536 + 0.932626i
\(10\) −1.07544 1.96047i −0.340084 0.619954i
\(11\) 2.91448i 0.878750i −0.898304 0.439375i \(-0.855200\pi\)
0.898304 0.439375i \(-0.144800\pi\)
\(12\) 2.83195 + 0.758819i 0.817514 + 0.219052i
\(13\) 1.47090 2.54768i 0.407955 0.706599i −0.586706 0.809800i \(-0.699575\pi\)
0.994660 + 0.103202i \(0.0329087\pi\)
\(14\) −1.76097 + 1.76097i −0.470639 + 0.470639i
\(15\) −1.55795 6.36801i −0.402262 1.64421i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −3.89735 + 2.25013i −0.945246 + 0.545738i −0.891601 0.452822i \(-0.850417\pi\)
−0.0536448 + 0.998560i \(0.517084\pi\)
\(18\) 4.84607 + 2.79788i 1.14223 + 0.659466i
\(19\) −3.54266 + 0.949252i −0.812741 + 0.217773i −0.641170 0.767399i \(-0.721551\pi\)
−0.171571 + 0.985172i \(0.554884\pi\)
\(20\) −1.16009 + 1.91159i −0.259405 + 0.427445i
\(21\) −6.32324 + 3.65072i −1.37984 + 0.796653i
\(22\) −2.52402 + 1.45724i −0.538122 + 0.310685i
\(23\) 6.99801 1.45919 0.729593 0.683881i \(-0.239709\pi\)
0.729593 + 0.683881i \(0.239709\pi\)
\(24\) −0.758819 2.83195i −0.154893 0.578070i
\(25\) 4.99522 + 0.218523i 0.999044 + 0.0437047i
\(26\) −2.94180 −0.576935
\(27\) 5.38134 + 5.38134i 1.03564 + 1.03564i
\(28\) 2.40553 + 0.644560i 0.454602 + 0.121810i
\(29\) −3.87126 + 3.87126i −0.718874 + 0.718874i −0.968375 0.249501i \(-0.919734\pi\)
0.249501 + 0.968375i \(0.419734\pi\)
\(30\) −4.73588 + 4.53323i −0.864650 + 0.827651i
\(31\) 3.48791 + 3.48791i 0.626447 + 0.626447i 0.947172 0.320725i \(-0.103927\pi\)
−0.320725 + 0.947172i \(0.603927\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −8.25367 + 2.21156i −1.43678 + 0.384984i
\(34\) 3.89735 + 2.25013i 0.668390 + 0.385895i
\(35\) −1.32336 5.40914i −0.223689 0.914312i
\(36\) 5.59575i 0.932626i
\(37\) 2.51884 + 5.53674i 0.414095 + 0.910234i
\(38\) 2.59340 + 2.59340i 0.420706 + 0.420706i
\(39\) −8.33105 2.23230i −1.33404 0.357454i
\(40\) 2.23553 + 0.0488750i 0.353469 + 0.00772781i
\(41\) −4.86771 2.81037i −0.760209 0.438907i 0.0691620 0.997605i \(-0.477967\pi\)
−0.829371 + 0.558699i \(0.811301\pi\)
\(42\) 6.32324 + 3.65072i 0.975697 + 0.563319i
\(43\) −9.87439 −1.50583 −0.752915 0.658118i \(-0.771353\pi\)
−0.752915 + 0.658118i \(0.771353\pi\)
\(44\) 2.52402 + 1.45724i 0.380510 + 0.219687i
\(45\) −10.9703 + 6.01790i −1.63535 + 0.897095i
\(46\) −3.49901 6.06046i −0.515900 0.893566i
\(47\) 6.90478 6.90478i 1.00717 1.00717i 0.00719165 0.999974i \(-0.497711\pi\)
0.999974 0.00719165i \(-0.00228919\pi\)
\(48\) −2.07313 + 2.07313i −0.299231 + 0.299231i
\(49\) 0.691065 0.398986i 0.0987235 0.0569981i
\(50\) −2.30836 4.43525i −0.326452 0.627239i
\(51\) 9.32965 + 9.32965i 1.30641 + 1.30641i
\(52\) 1.47090 + 2.54768i 0.203977 + 0.353299i
\(53\) 2.56216 9.56210i 0.351939 1.31345i −0.532354 0.846522i \(-0.678692\pi\)
0.884293 0.466933i \(-0.154641\pi\)
\(54\) 1.96971 7.35105i 0.268043 1.00035i
\(55\) 0.142445 6.51542i 0.0192073 0.878540i
\(56\) −0.644560 2.40553i −0.0861329 0.321452i
\(57\) 5.37647 + 9.31232i 0.712131 + 1.23345i
\(58\) 5.28823 + 1.41698i 0.694379 + 0.186058i
\(59\) −1.43261 + 5.34659i −0.186511 + 0.696067i 0.807792 + 0.589468i \(0.200663\pi\)
−0.994302 + 0.106599i \(0.966004\pi\)
\(60\) 6.29384 + 1.83478i 0.812531 + 0.236869i
\(61\) 4.95025 1.32641i 0.633814 0.169830i 0.0724143 0.997375i \(-0.476930\pi\)
0.561400 + 0.827545i \(0.310263\pi\)
\(62\) 1.27666 4.76457i 0.162136 0.605102i
\(63\) 9.85395 + 9.85395i 1.24148 + 1.24148i
\(64\) 1.00000 0.125000
\(65\) 3.41277 5.62353i 0.423302 0.697513i
\(66\) 6.04211 + 6.04211i 0.743732 + 0.743732i
\(67\) −3.36263 + 0.901014i −0.410810 + 0.110076i −0.458305 0.888795i \(-0.651543\pi\)
0.0474942 + 0.998872i \(0.484876\pi\)
\(68\) 4.50027i 0.545738i
\(69\) −5.31023 19.8180i −0.639276 2.38581i
\(70\) −4.02277 + 3.85064i −0.480813 + 0.460239i
\(71\) 8.12975 14.0811i 0.964824 1.67112i 0.254737 0.967010i \(-0.418011\pi\)
0.710087 0.704114i \(-0.248656\pi\)
\(72\) −4.84607 + 2.79788i −0.571114 + 0.329733i
\(73\) 1.91840 1.91840i 0.224532 0.224532i −0.585872 0.810404i \(-0.699248\pi\)
0.810404 + 0.585872i \(0.199248\pi\)
\(74\) 3.53553 4.94975i 0.410997 0.575396i
\(75\) −3.17162 14.3120i −0.366227 1.65261i
\(76\) 0.949252 3.54266i 0.108887 0.406370i
\(77\) −7.01087 + 1.87856i −0.798963 + 0.214082i
\(78\) 2.23230 + 8.33105i 0.252758 + 0.943305i
\(79\) 4.93645 1.32272i 0.555394 0.148817i 0.0298047 0.999556i \(-0.490511\pi\)
0.525590 + 0.850738i \(0.323845\pi\)
\(80\) −1.07544 1.96047i −0.120238 0.219187i
\(81\) 2.76260 4.78497i 0.306956 0.531663i
\(82\) 5.62075i 0.620708i
\(83\) 2.48451 9.27233i 0.272711 1.01777i −0.684649 0.728873i \(-0.740045\pi\)
0.957360 0.288897i \(-0.0932887\pi\)
\(84\) 7.30145i 0.796653i
\(85\) −8.82263 + 4.83977i −0.956948 + 0.524947i
\(86\) 4.93719 + 8.55147i 0.532391 + 0.922129i
\(87\) 13.9008 + 8.02562i 1.49032 + 0.860437i
\(88\) 2.91448i 0.310685i
\(89\) 5.84994 + 1.56749i 0.620092 + 0.166153i 0.555170 0.831737i \(-0.312653\pi\)
0.0649224 + 0.997890i \(0.479320\pi\)
\(90\) 10.6968 + 6.49160i 1.12754 + 0.684275i
\(91\) −7.07660 1.89617i −0.741829 0.198772i
\(92\) −3.49901 + 6.06046i −0.364797 + 0.631846i
\(93\) 7.23090 12.5243i 0.749809 1.29871i
\(94\) −9.43211 2.52733i −0.972847 0.260674i
\(95\) −7.96612 + 1.94894i −0.817307 + 0.199957i
\(96\) 2.83195 + 0.758819i 0.289035 + 0.0774466i
\(97\) 1.22093i 0.123966i 0.998077 + 0.0619832i \(0.0197425\pi\)
−0.998077 + 0.0619832i \(0.980257\pi\)
\(98\) −0.691065 0.398986i −0.0698081 0.0403037i
\(99\) 8.15436 + 14.1238i 0.819544 + 1.41949i
\(100\) −2.68686 + 4.21673i −0.268686 + 0.421673i
\(101\) 9.88584i 0.983678i 0.870686 + 0.491839i \(0.163675\pi\)
−0.870686 + 0.491839i \(0.836325\pi\)
\(102\) 3.41489 12.7445i 0.338124 1.26190i
\(103\) 4.75115i 0.468145i 0.972219 + 0.234072i \(0.0752052\pi\)
−0.972219 + 0.234072i \(0.924795\pi\)
\(104\) 1.47090 2.54768i 0.144234 0.249820i
\(105\) −14.3142 + 7.85227i −1.39693 + 0.766303i
\(106\) −9.56210 + 2.56216i −0.928753 + 0.248859i
\(107\) −2.54512 9.49852i −0.246046 0.918256i −0.972855 0.231416i \(-0.925664\pi\)
0.726809 0.686840i \(-0.241003\pi\)
\(108\) −7.35105 + 1.96971i −0.707355 + 0.189535i
\(109\) −1.92197 + 7.17290i −0.184092 + 0.687039i 0.810732 + 0.585418i \(0.199070\pi\)
−0.994823 + 0.101621i \(0.967597\pi\)
\(110\) −5.71375 + 3.13435i −0.544784 + 0.298849i
\(111\) 13.7684 11.3346i 1.30684 1.07583i
\(112\) −1.76097 + 1.76097i −0.166396 + 0.166396i
\(113\) 1.98204 1.14433i 0.186454 0.107649i −0.403867 0.914818i \(-0.632334\pi\)
0.590322 + 0.807168i \(0.299001\pi\)
\(114\) 5.37647 9.31232i 0.503552 0.872178i
\(115\) 15.6443 + 0.342028i 1.45884 + 0.0318943i
\(116\) −1.41698 5.28823i −0.131563 0.491000i
\(117\) 16.4616i 1.52188i
\(118\) 5.34659 1.43261i 0.492194 0.131883i
\(119\) 7.92484 + 7.92484i 0.726469 + 0.726469i
\(120\) −1.55795 6.36801i −0.142221 0.581317i
\(121\) 2.50579 0.227799
\(122\) −3.62383 3.62383i −0.328086 0.328086i
\(123\) −4.26513 + 15.9177i −0.384574 + 1.43525i
\(124\) −4.76457 + 1.27666i −0.427871 + 0.114648i
\(125\) 11.1563 + 0.732658i 0.997851 + 0.0655309i
\(126\) 3.60680 13.4607i 0.321319 1.19918i
\(127\) −17.5434 4.70075i −1.55673 0.417124i −0.625101 0.780544i \(-0.714942\pi\)
−0.931625 + 0.363420i \(0.881609\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) 7.49287 + 27.9638i 0.659711 + 2.46207i
\(130\) −6.57650 0.143781i −0.576797 0.0126104i
\(131\) −1.15466 + 4.30925i −0.100883 + 0.376501i −0.997846 0.0656055i \(-0.979102\pi\)
0.896962 + 0.442107i \(0.145769\pi\)
\(132\) 2.21156 8.25367i 0.192492 0.718390i
\(133\) 4.56690 + 7.91011i 0.396001 + 0.685894i
\(134\) 2.46161 + 2.46161i 0.212651 + 0.212651i
\(135\) 11.7672 + 12.2932i 1.01276 + 1.05803i
\(136\) −3.89735 + 2.25013i −0.334195 + 0.192947i
\(137\) 14.0474 14.0474i 1.20015 1.20015i 0.226025 0.974121i \(-0.427427\pi\)
0.974121 0.226025i \(-0.0725731\pi\)
\(138\) −14.5078 + 14.5078i −1.23499 + 1.23499i
\(139\) 4.10679 + 7.11316i 0.348333 + 0.603331i 0.985954 0.167020i \(-0.0534144\pi\)
−0.637620 + 0.770351i \(0.720081\pi\)
\(140\) 5.34614 + 1.55850i 0.451831 + 0.131718i
\(141\) −24.7935 14.3145i −2.08799 1.20550i
\(142\) −16.2595 −1.36447
\(143\) −7.42516 4.28692i −0.620923 0.358490i
\(144\) 4.84607 + 2.79788i 0.403839 + 0.233156i
\(145\) −8.84353 + 8.46512i −0.734415 + 0.702990i
\(146\) −2.62059 0.702184i −0.216881 0.0581132i
\(147\) −1.65430 1.65430i −0.136445 0.136445i
\(148\) −6.05437 0.586988i −0.497666 0.0482502i
\(149\) 23.1991i 1.90054i −0.311427 0.950270i \(-0.600807\pi\)
0.311427 0.950270i \(-0.399193\pi\)
\(150\) −10.8088 + 9.90273i −0.882534 + 0.808554i
\(151\) 7.53024 + 4.34759i 0.612802 + 0.353801i 0.774061 0.633111i \(-0.218222\pi\)
−0.161259 + 0.986912i \(0.551556\pi\)
\(152\) −3.54266 + 0.949252i −0.287347 + 0.0769945i
\(153\) 12.5912 21.8086i 1.01794 1.76312i
\(154\) 5.13232 + 5.13232i 0.413574 + 0.413574i
\(155\) 7.62687 + 7.96781i 0.612605 + 0.639990i
\(156\) 6.09875 6.09875i 0.488291 0.488291i
\(157\) 1.53697 + 0.411829i 0.122663 + 0.0328675i 0.319628 0.947543i \(-0.396442\pi\)
−0.196965 + 0.980410i \(0.563109\pi\)
\(158\) −3.61373 3.61373i −0.287493 0.287493i
\(159\) −29.0236 −2.30172
\(160\) −1.16009 + 1.91159i −0.0917135 + 0.151125i
\(161\) −4.51064 16.8339i −0.355488 1.32670i
\(162\) −5.52520 −0.434101
\(163\) −17.9598 + 10.3691i −1.40672 + 0.812172i −0.995071 0.0991683i \(-0.968382\pi\)
−0.411653 + 0.911341i \(0.635048\pi\)
\(164\) 4.86771 2.81037i 0.380104 0.219453i
\(165\) −18.5595 + 4.54063i −1.44485 + 0.353488i
\(166\) −9.27233 + 2.48451i −0.719672 + 0.192836i
\(167\) 9.69438 + 5.59705i 0.750174 + 0.433113i 0.825757 0.564027i \(-0.190748\pi\)
−0.0755830 + 0.997140i \(0.524082\pi\)
\(168\) −6.32324 + 3.65072i −0.487848 + 0.281659i
\(169\) 2.17289 + 3.76356i 0.167146 + 0.289505i
\(170\) 8.60268 + 5.22073i 0.659795 + 0.400412i
\(171\) 14.5120 14.5120i 1.10976 1.10976i
\(172\) 4.93719 8.55147i 0.376457 0.652043i
\(173\) 19.6786 + 5.27286i 1.49613 + 0.400888i 0.911803 0.410627i \(-0.134690\pi\)
0.584331 + 0.811515i \(0.301357\pi\)
\(174\) 16.0512i 1.21684i
\(175\) −2.69405 12.1570i −0.203651 0.918983i
\(176\) −2.52402 + 1.45724i −0.190255 + 0.109844i
\(177\) 16.2284 1.21980
\(178\) −1.56749 5.84994i −0.117488 0.438471i
\(179\) 10.8572 10.8572i 0.811505 0.811505i −0.173355 0.984859i \(-0.555461\pi\)
0.984859 + 0.173355i \(0.0554607\pi\)
\(180\) 0.273492 12.5095i 0.0203849 0.932403i
\(181\) −3.37639 + 5.84808i −0.250965 + 0.434684i −0.963792 0.266656i \(-0.914081\pi\)
0.712827 + 0.701340i \(0.247415\pi\)
\(182\) 1.89617 + 7.07660i 0.140553 + 0.524552i
\(183\) −7.51268 13.0123i −0.555354 0.961901i
\(184\) 6.99801 0.515900
\(185\) 5.36034 + 12.5007i 0.394100 + 0.919067i
\(186\) −14.4618 −1.06039
\(187\) 6.55798 + 11.3588i 0.479567 + 0.830634i
\(188\) 2.52733 + 9.43211i 0.184324 + 0.687907i
\(189\) 9.47638 16.4136i 0.689305 1.19391i
\(190\) 5.67089 + 5.92439i 0.411410 + 0.429801i
\(191\) −17.7357 + 17.7357i −1.28331 + 1.28331i −0.344541 + 0.938771i \(0.611965\pi\)
−0.938771 + 0.344541i \(0.888035\pi\)
\(192\) −0.758819 2.83195i −0.0547630 0.204378i
\(193\) 8.93440 0.643112 0.321556 0.946890i \(-0.395794\pi\)
0.321556 + 0.946890i \(0.395794\pi\)
\(194\) 1.05735 0.610464i 0.0759136 0.0438287i
\(195\) −18.5152 5.39756i −1.32590 0.386527i
\(196\) 0.797973i 0.0569981i
\(197\) −12.0647 3.23272i −0.859572 0.230321i −0.197999 0.980202i \(-0.563444\pi\)
−0.661573 + 0.749881i \(0.730111\pi\)
\(198\) 8.15436 14.1238i 0.579505 1.00373i
\(199\) −1.83062 + 1.83062i −0.129769 + 0.129769i −0.769008 0.639239i \(-0.779250\pi\)
0.639239 + 0.769008i \(0.279250\pi\)
\(200\) 4.99522 + 0.218523i 0.353216 + 0.0154519i
\(201\) 5.10325 + 8.83909i 0.359956 + 0.623462i
\(202\) 8.56139 4.94292i 0.602377 0.347783i
\(203\) 11.8077 + 6.81716i 0.828736 + 0.478471i
\(204\) −12.7445 + 3.41489i −0.892296 + 0.239090i
\(205\) −10.7446 6.52060i −0.750434 0.455418i
\(206\) 4.11461 2.37557i 0.286679 0.165514i
\(207\) −33.9128 + 19.5796i −2.35710 + 1.36087i
\(208\) −2.94180 −0.203977
\(209\) 2.76658 + 10.3250i 0.191368 + 0.714196i
\(210\) 13.9574 + 8.47036i 0.963151 + 0.584510i
\(211\) 21.0104 1.44641 0.723207 0.690632i \(-0.242667\pi\)
0.723207 + 0.690632i \(0.242667\pi\)
\(212\) 6.99994 + 6.99994i 0.480758 + 0.480758i
\(213\) −46.0461 12.3380i −3.15503 0.845387i
\(214\) −6.95340 + 6.95340i −0.475324 + 0.475324i
\(215\) −22.0745 0.482610i −1.50547 0.0329138i
\(216\) 5.38134 + 5.38134i 0.366154 + 0.366154i
\(217\) 6.14210 10.6384i 0.416953 0.722184i
\(218\) 7.17290 1.92197i 0.485810 0.130172i
\(219\) −6.88854 3.97710i −0.465485 0.268748i
\(220\) 5.57130 + 3.38107i 0.375617 + 0.227952i
\(221\) 13.2389i 0.890546i
\(222\) −16.7003 6.25650i −1.12085 0.419909i
\(223\) 3.66119 + 3.66119i 0.245171 + 0.245171i 0.818985 0.573814i \(-0.194537\pi\)
−0.573814 + 0.818985i \(0.694537\pi\)
\(224\) 2.40553 + 0.644560i 0.160726 + 0.0430664i
\(225\) −24.8186 + 12.9170i −1.65457 + 0.861136i
\(226\) −1.98204 1.14433i −0.131843 0.0761197i
\(227\) −6.46217 3.73094i −0.428910 0.247631i 0.269972 0.962868i \(-0.412985\pi\)
−0.698882 + 0.715237i \(0.746319\pi\)
\(228\) −10.7529 −0.712131
\(229\) −10.0881 5.82435i −0.666638 0.384884i 0.128163 0.991753i \(-0.459092\pi\)
−0.794802 + 0.606869i \(0.792425\pi\)
\(230\) −7.52594 13.7194i −0.496246 0.904628i
\(231\) 10.6400 + 18.4290i 0.700058 + 1.21254i
\(232\) −3.87126 + 3.87126i −0.254160 + 0.254160i
\(233\) −13.6527 + 13.6527i −0.894416 + 0.894416i −0.994935 0.100519i \(-0.967950\pi\)
0.100519 + 0.994935i \(0.467950\pi\)
\(234\) 14.2562 8.23081i 0.931955 0.538065i
\(235\) 15.7733 15.0984i 1.02894 0.984911i
\(236\) −3.91398 3.91398i −0.254778 0.254778i
\(237\) −7.49175 12.9761i −0.486641 0.842888i
\(238\) 2.90069 10.8255i 0.188024 0.701715i
\(239\) 2.66262 9.93702i 0.172230 0.642772i −0.824776 0.565459i \(-0.808699\pi\)
0.997007 0.0773135i \(-0.0246342\pi\)
\(240\) −4.73588 + 4.53323i −0.305700 + 0.292619i
\(241\) 5.87095 + 21.9107i 0.378181 + 1.41139i 0.848641 + 0.528969i \(0.177421\pi\)
−0.470460 + 0.882421i \(0.655912\pi\)
\(242\) −1.25290 2.17008i −0.0805392 0.139498i
\(243\) 6.40605 + 1.71649i 0.410948 + 0.110113i
\(244\) −1.32641 + 4.95025i −0.0849150 + 0.316907i
\(245\) 1.56440 0.858172i 0.0999458 0.0548266i
\(246\) 15.9177 4.26513i 1.01487 0.271935i
\(247\) −2.79251 + 10.4218i −0.177683 + 0.663123i
\(248\) 3.48791 + 3.48791i 0.221483 + 0.221483i
\(249\) −28.1441 −1.78356
\(250\) −4.94365 10.0280i −0.312664 0.634225i
\(251\) −18.0965 18.0965i −1.14224 1.14224i −0.988039 0.154202i \(-0.950719\pi\)
−0.154202 0.988039i \(-0.549281\pi\)
\(252\) −13.4607 + 3.60680i −0.847947 + 0.227207i
\(253\) 20.3956i 1.28226i
\(254\) 4.70075 + 17.5434i 0.294951 + 1.10077i
\(255\) 20.4008 + 21.3127i 1.27755 + 1.33466i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 2.48829 1.43662i 0.155215 0.0896136i −0.420381 0.907348i \(-0.638103\pi\)
0.575596 + 0.817734i \(0.304770\pi\)
\(258\) 20.4709 20.4709i 1.27446 1.27446i
\(259\) 11.6952 9.62790i 0.726707 0.598249i
\(260\) 3.16373 + 5.76731i 0.196206 + 0.357673i
\(261\) 7.92906 29.5917i 0.490796 1.83168i
\(262\) 4.30925 1.15466i 0.266227 0.0713352i
\(263\) 6.34852 + 23.6930i 0.391467 + 1.46097i 0.827716 + 0.561147i \(0.189640\pi\)
−0.436249 + 0.899826i \(0.643693\pi\)
\(264\) −8.25367 + 2.21156i −0.507978 + 0.136112i
\(265\) 6.19513 21.2512i 0.380564 1.30545i
\(266\) 4.56690 7.91011i 0.280015 0.485000i
\(267\) 17.7562i 1.08666i
\(268\) 0.901014 3.36263i 0.0550382 0.205405i
\(269\) 29.7099i 1.81145i 0.423871 + 0.905723i \(0.360671\pi\)
−0.423871 + 0.905723i \(0.639329\pi\)
\(270\) 4.76263 16.3372i 0.289844 0.994253i
\(271\) 2.71569 + 4.70372i 0.164967 + 0.285730i 0.936643 0.350284i \(-0.113915\pi\)
−0.771677 + 0.636015i \(0.780582\pi\)
\(272\) 3.89735 + 2.25013i 0.236311 + 0.136434i
\(273\) 21.4794i 1.29999i
\(274\) −19.1890 5.14169i −1.15925 0.310621i
\(275\) 0.636883 14.5585i 0.0384055 0.877910i
\(276\) 19.8180 + 5.31023i 1.19291 + 0.319638i
\(277\) −1.22632 + 2.12406i −0.0736827 + 0.127622i −0.900513 0.434830i \(-0.856809\pi\)
0.826830 + 0.562452i \(0.190142\pi\)
\(278\) 4.10679 7.11316i 0.246309 0.426619i
\(279\) −26.6614 7.14390i −1.59618 0.427694i
\(280\) −1.32336 5.40914i −0.0790862 0.323258i
\(281\) 7.18951 + 1.92642i 0.428890 + 0.114921i 0.466805 0.884360i \(-0.345405\pi\)
−0.0379149 + 0.999281i \(0.512072\pi\)
\(282\) 28.6290i 1.70483i
\(283\) 14.0483 + 8.11077i 0.835083 + 0.482136i 0.855590 0.517654i \(-0.173195\pi\)
−0.0205067 + 0.999790i \(0.506528\pi\)
\(284\) 8.12975 + 14.0811i 0.482412 + 0.835562i
\(285\) 11.5641 + 21.0808i 0.685000 + 1.24872i
\(286\) 8.57384i 0.506982i
\(287\) −3.62291 + 13.5209i −0.213853 + 0.798112i
\(288\) 5.59575i 0.329733i
\(289\) 1.62621 2.81668i 0.0956595 0.165687i
\(290\) 11.7528 + 3.42616i 0.690146 + 0.201191i
\(291\) 3.45761 0.926463i 0.202688 0.0543102i
\(292\) 0.702184 + 2.62059i 0.0410922 + 0.153358i
\(293\) 16.6104 4.45075i 0.970391 0.260015i 0.261398 0.965231i \(-0.415816\pi\)
0.708993 + 0.705216i \(0.249150\pi\)
\(294\) −0.605517 + 2.25982i −0.0353145 + 0.131795i
\(295\) −3.46397 + 11.8825i −0.201680 + 0.691824i
\(296\) 2.51884 + 5.53674i 0.146405 + 0.321816i
\(297\) 15.6838 15.6838i 0.910068 0.910068i
\(298\) −20.0910 + 11.5995i −1.16384 + 0.671942i
\(299\) 10.2934 17.8287i 0.595282 1.03106i
\(300\) 13.9804 + 4.40932i 0.807159 + 0.254572i
\(301\) 6.36463 + 23.7531i 0.366851 + 1.36911i
\(302\) 8.69517i 0.500351i
\(303\) 27.9962 7.50156i 1.60834 0.430954i
\(304\) 2.59340 + 2.59340i 0.148742 + 0.148742i
\(305\) 11.1313 2.72330i 0.637375 0.155936i
\(306\) −25.1824 −1.43958
\(307\) 4.39393 + 4.39393i 0.250775 + 0.250775i 0.821288 0.570514i \(-0.193256\pi\)
−0.570514 + 0.821288i \(0.693256\pi\)
\(308\) 1.87856 7.01087i 0.107041 0.399482i
\(309\) 13.4550 3.60526i 0.765429 0.205096i
\(310\) 3.08689 10.5890i 0.175324 0.601413i
\(311\) −3.54892 + 13.2447i −0.201241 + 0.751041i 0.789322 + 0.613980i \(0.210432\pi\)
−0.990563 + 0.137061i \(0.956234\pi\)
\(312\) −8.33105 2.23230i −0.471653 0.126379i
\(313\) −7.92622 13.7286i −0.448016 0.775987i 0.550241 0.835006i \(-0.314536\pi\)
−0.998257 + 0.0590193i \(0.981203\pi\)
\(314\) −0.411829 1.53697i −0.0232408 0.0867360i
\(315\) 21.5472 + 22.5105i 1.21405 + 1.26832i
\(316\) −1.32272 + 4.93645i −0.0744087 + 0.277697i
\(317\) 5.74837 21.4532i 0.322861 1.20493i −0.593585 0.804772i \(-0.702288\pi\)
0.916445 0.400160i \(-0.131046\pi\)
\(318\) 14.5118 + 25.1352i 0.813781 + 1.40951i
\(319\) 11.2827 + 11.2827i 0.631710 + 0.631710i
\(320\) 2.23553 + 0.0488750i 0.124970 + 0.00273219i
\(321\) −24.9681 + 14.4153i −1.39358 + 0.804584i
\(322\) −12.3233 + 12.3233i −0.686750 + 0.686750i
\(323\) 11.6710 11.6710i 0.649393 0.649393i
\(324\) 2.76260 + 4.78497i 0.153478 + 0.265831i
\(325\) 7.90421 12.4048i 0.438447 0.688094i
\(326\) 17.9598 + 10.3691i 0.994704 + 0.574293i
\(327\) 21.7717 1.20398
\(328\) −4.86771 2.81037i −0.268774 0.155177i
\(329\) −21.0602 12.1591i −1.16109 0.670353i
\(330\) 13.2120 + 13.8026i 0.727298 + 0.759811i
\(331\) 14.0369 + 3.76116i 0.771535 + 0.206732i 0.623050 0.782182i \(-0.285893\pi\)
0.148486 + 0.988915i \(0.452560\pi\)
\(332\) 6.78781 + 6.78781i 0.372530 + 0.372530i
\(333\) −27.6976 19.7840i −1.51782 1.08416i
\(334\) 11.1941i 0.612514i
\(335\) −7.56131 + 1.84990i −0.413118 + 0.101071i
\(336\) 6.32324 + 3.65072i 0.344961 + 0.199163i
\(337\) 13.4975 3.61665i 0.735257 0.197012i 0.128288 0.991737i \(-0.459052\pi\)
0.606969 + 0.794725i \(0.292385\pi\)
\(338\) 2.17289 3.76356i 0.118190 0.204711i
\(339\) −4.74469 4.74469i −0.257696 0.257696i
\(340\) 0.219951 10.0605i 0.0119285 0.545607i
\(341\) 10.1655 10.1655i 0.550490 0.550490i
\(342\) −19.8238 5.31178i −1.07195 0.287228i
\(343\) −13.7320 13.7320i −0.741458 0.741458i
\(344\) −9.87439 −0.532391
\(345\) −10.9026 44.5634i −0.586975 2.39921i
\(346\) −5.27286 19.6786i −0.283471 1.05793i
\(347\) −13.8775 −0.744983 −0.372491 0.928036i \(-0.621496\pi\)
−0.372491 + 0.928036i \(0.621496\pi\)
\(348\) −13.9008 + 8.02562i −0.745161 + 0.430219i
\(349\) −17.0386 + 9.83722i −0.912053 + 0.526574i −0.881091 0.472946i \(-0.843190\pi\)
−0.0309622 + 0.999521i \(0.509857\pi\)
\(350\) −9.18125 + 8.41162i −0.490758 + 0.449620i
\(351\) 21.6253 5.79449i 1.15428 0.309287i
\(352\) 2.52402 + 1.45724i 0.134531 + 0.0776712i
\(353\) −22.2766 + 12.8614i −1.18566 + 0.684544i −0.957318 0.289036i \(-0.906665\pi\)
−0.228346 + 0.973580i \(0.573332\pi\)
\(354\) −8.11419 14.0542i −0.431264 0.746972i
\(355\) 18.8626 31.0815i 1.00112 1.64964i
\(356\) −4.28245 + 4.28245i −0.226969 + 0.226969i
\(357\) 16.4292 28.4563i 0.869527 1.50607i
\(358\) −14.8312 3.97401i −0.783853 0.210033i
\(359\) 3.28323i 0.173282i 0.996240 + 0.0866411i \(0.0276133\pi\)
−0.996240 + 0.0866411i \(0.972387\pi\)
\(360\) −10.9703 + 6.01790i −0.578185 + 0.317171i
\(361\) −4.80516 + 2.77426i −0.252903 + 0.146014i
\(362\) 6.75278 0.354918
\(363\) −1.90144 7.09628i −0.0997998 0.372458i
\(364\) 5.18043 5.18043i 0.271528 0.271528i
\(365\) 4.38242 4.19489i 0.229386 0.219571i
\(366\) −7.51268 + 13.0123i −0.392694 + 0.680166i
\(367\) −0.805186 3.00500i −0.0420304 0.156859i 0.941721 0.336394i \(-0.109207\pi\)
−0.983752 + 0.179535i \(0.942541\pi\)
\(368\) −3.49901 6.06046i −0.182398 0.315923i
\(369\) 31.4523 1.63734
\(370\) 8.14572 10.8925i 0.423476 0.566276i
\(371\) −24.6534 −1.27994
\(372\) 7.23090 + 12.5243i 0.374905 + 0.649354i
\(373\) −3.25911 12.1632i −0.168750 0.629785i −0.997532 0.0702128i \(-0.977632\pi\)
0.828782 0.559572i \(-0.189035\pi\)
\(374\) 6.55798 11.3588i 0.339105 0.587347i
\(375\) −6.39077 32.1501i −0.330018 1.66022i
\(376\) 6.90478 6.90478i 0.356087 0.356087i
\(377\) 4.16847 + 15.5569i 0.214687 + 0.801224i
\(378\) −18.9528 −0.974825
\(379\) −21.6238 + 12.4845i −1.11074 + 0.641287i −0.939022 0.343858i \(-0.888266\pi\)
−0.171721 + 0.985146i \(0.554933\pi\)
\(380\) 2.29523 7.87333i 0.117743 0.403893i
\(381\) 53.2491i 2.72804i
\(382\) 24.2275 + 6.49173i 1.23958 + 0.332146i
\(383\) −13.6541 + 23.6496i −0.697692 + 1.20844i 0.271572 + 0.962418i \(0.412456\pi\)
−0.969265 + 0.246021i \(0.920877\pi\)
\(384\) −2.07313 + 2.07313i −0.105794 + 0.105794i
\(385\) −15.7649 + 3.85692i −0.803452 + 0.196567i
\(386\) −4.46720 7.73742i −0.227375 0.393824i
\(387\) 47.8519 27.6273i 2.43245 1.40438i
\(388\) −1.05735 0.610464i −0.0536790 0.0309916i
\(389\) −6.45077 + 1.72848i −0.327067 + 0.0876374i −0.418616 0.908163i \(-0.637485\pi\)
0.0915491 + 0.995801i \(0.470818\pi\)
\(390\) 4.58320 + 18.7334i 0.232079 + 0.948605i
\(391\) −27.2737 + 15.7465i −1.37929 + 0.796333i
\(392\) 0.691065 0.398986i 0.0349040 0.0201519i
\(393\) 13.0798 0.659788
\(394\) 3.23272 + 12.0647i 0.162862 + 0.607809i
\(395\) 11.1003 2.71571i 0.558514 0.136642i
\(396\) −16.3087 −0.819544
\(397\) 0.915064 + 0.915064i 0.0459258 + 0.0459258i 0.729697 0.683771i \(-0.239661\pi\)
−0.683771 + 0.729697i \(0.739661\pi\)
\(398\) 2.50068 + 0.670054i 0.125348 + 0.0335868i
\(399\) 18.9356 18.9356i 0.947965 0.947965i
\(400\) −2.30836 4.43525i −0.115418 0.221763i
\(401\) −9.35912 9.35912i −0.467372 0.467372i 0.433690 0.901062i \(-0.357211\pi\)
−0.901062 + 0.433690i \(0.857211\pi\)
\(402\) 5.10325 8.83909i 0.254527 0.440854i
\(403\) 14.0164 3.75570i 0.698209 0.187085i
\(404\) −8.56139 4.94292i −0.425945 0.245919i
\(405\) 6.40975 10.5619i 0.318503 0.524826i
\(406\) 13.6343i 0.676660i
\(407\) 16.1367 7.34112i 0.799868 0.363886i
\(408\) 9.32965 + 9.32965i 0.461887 + 0.461887i
\(409\) 4.90038 + 1.31305i 0.242308 + 0.0649263i 0.377929 0.925835i \(-0.376636\pi\)
−0.135621 + 0.990761i \(0.543303\pi\)
\(410\) −0.274714 + 12.5654i −0.0135672 + 0.620559i
\(411\) −50.4408 29.1220i −2.48806 1.43648i
\(412\) −4.11461 2.37557i −0.202713 0.117036i
\(413\) 13.7848 0.678305
\(414\) 33.9128 + 19.5796i 1.66672 + 0.962284i
\(415\) 6.00740 20.6072i 0.294891 1.01157i
\(416\) 1.47090 + 2.54768i 0.0721169 + 0.124910i
\(417\) 17.0278 17.0278i 0.833856 0.833856i
\(418\) 7.55843 7.55843i 0.369695 0.369695i
\(419\) 18.0468 10.4193i 0.881645 0.509018i 0.0104448 0.999945i \(-0.496675\pi\)
0.871201 + 0.490927i \(0.163342\pi\)
\(420\) 0.356858 16.3226i 0.0174129 0.796463i
\(421\) −3.36658 3.36658i −0.164077 0.164077i 0.620293 0.784370i \(-0.287014\pi\)
−0.784370 + 0.620293i \(0.787014\pi\)
\(422\) −10.5052 18.1955i −0.511384 0.885744i
\(423\) −14.1423 + 52.7797i −0.687622 + 2.56624i
\(424\) 2.56216 9.56210i 0.124429 0.464376i
\(425\) −19.9598 + 10.3883i −0.968194 + 0.503905i
\(426\) 12.3380 + 46.0461i 0.597779 + 2.23094i
\(427\) −6.38146 11.0530i −0.308820 0.534893i
\(428\) 9.49852 + 2.54512i 0.459128 + 0.123023i
\(429\) −6.50599 + 24.2807i −0.314112 + 1.17228i
\(430\) 10.6193 + 19.3584i 0.512109 + 0.933545i
\(431\) −9.05721 + 2.42687i −0.436270 + 0.116898i −0.470268 0.882524i \(-0.655843\pi\)
0.0339977 + 0.999422i \(0.489176\pi\)
\(432\) 1.96971 7.35105i 0.0947676 0.353678i
\(433\) 22.5131 + 22.5131i 1.08191 + 1.08191i 0.996332 + 0.0855769i \(0.0272733\pi\)
0.0855769 + 0.996332i \(0.472727\pi\)
\(434\) −12.2842 −0.589661
\(435\) 30.6834 + 18.6210i 1.47116 + 0.892807i
\(436\) −5.25093 5.25093i −0.251474 0.251474i
\(437\) −24.7915 + 6.64287i −1.18594 + 0.317772i
\(438\) 7.95420i 0.380067i
\(439\) 5.60810 + 20.9297i 0.267660 + 0.998920i 0.960602 + 0.277927i \(0.0896474\pi\)
−0.692942 + 0.720993i \(0.743686\pi\)
\(440\) 0.142445 6.51542i 0.00679081 0.310611i
\(441\) −2.23263 + 3.86703i −0.106316 + 0.184144i
\(442\) 11.4652 6.61946i 0.545346 0.314855i
\(443\) −20.1246 + 20.1246i −0.956148 + 0.956148i −0.999078 0.0429303i \(-0.986331\pi\)
0.0429303 + 0.999078i \(0.486331\pi\)
\(444\) 2.93185 + 17.5911i 0.139140 + 0.834837i
\(445\) 13.0011 + 3.79008i 0.616312 + 0.179667i
\(446\) 1.34009 5.00127i 0.0634550 0.236817i
\(447\) −65.6986 + 17.6039i −3.10744 + 0.832635i
\(448\) −0.644560 2.40553i −0.0304526 0.113651i
\(449\) 19.7786 5.29965i 0.933409 0.250106i 0.240101 0.970748i \(-0.422819\pi\)
0.693308 + 0.720642i \(0.256153\pi\)
\(450\) 23.5958 + 15.0350i 1.11232 + 0.708757i
\(451\) −8.19079 + 14.1869i −0.385689 + 0.668033i
\(452\) 2.28866i 0.107649i
\(453\) 6.59806 24.6243i 0.310004 1.15695i
\(454\) 7.46188i 0.350203i
\(455\) −15.7273 4.58482i −0.737307 0.214940i
\(456\) 5.37647 + 9.31232i 0.251776 + 0.436089i
\(457\) 25.6780 + 14.8252i 1.20116 + 0.693493i 0.960814 0.277193i \(-0.0894043\pi\)
0.240350 + 0.970686i \(0.422738\pi\)
\(458\) 11.6487i 0.544308i
\(459\) −33.0817 8.86421i −1.54412 0.413746i
\(460\) −8.11835 + 13.3773i −0.378520 + 0.623722i
\(461\) 9.79986 + 2.62586i 0.456425 + 0.122299i 0.479704 0.877430i \(-0.340744\pi\)
−0.0232792 + 0.999729i \(0.507411\pi\)
\(462\) 10.6400 18.4290i 0.495016 0.857393i
\(463\) 7.34923 12.7292i 0.341548 0.591578i −0.643173 0.765721i \(-0.722382\pi\)
0.984720 + 0.174143i \(0.0557156\pi\)
\(464\) 5.28823 + 1.41698i 0.245500 + 0.0657815i
\(465\) 16.7770 27.6451i 0.778017 1.28201i
\(466\) 18.6499 + 4.99723i 0.863940 + 0.231492i
\(467\) 19.8482i 0.918466i −0.888316 0.459233i \(-0.848124\pi\)
0.888316 0.459233i \(-0.151876\pi\)
\(468\) −14.2562 8.23081i −0.658992 0.380469i
\(469\) 4.33483 + 7.50814i 0.200164 + 0.346694i
\(470\) −20.9623 6.11091i −0.966917 0.281875i
\(471\) 4.66512i 0.214957i
\(472\) −1.43261 + 5.34659i −0.0659414 + 0.246097i
\(473\) 28.7787i 1.32325i
\(474\) −7.49175 + 12.9761i −0.344107 + 0.596011i
\(475\) −17.9038 + 3.96757i −0.821482 + 0.182045i
\(476\) −10.8255 + 2.90069i −0.496187 + 0.132953i
\(477\) 14.3372 + 53.5071i 0.656455 + 2.44992i
\(478\) −9.93702 + 2.66262i −0.454509 + 0.121785i
\(479\) −1.44887 + 5.40725i −0.0662005 + 0.247064i −0.991094 0.133162i \(-0.957487\pi\)
0.924894 + 0.380225i \(0.124154\pi\)
\(480\) 6.29384 + 1.83478i 0.287273 + 0.0837457i
\(481\) 17.8108 + 1.72681i 0.812102 + 0.0787355i
\(482\) 16.0397 16.0397i 0.730589 0.730589i
\(483\) −44.2501 + 25.5478i −2.01345 + 1.16247i
\(484\) −1.25290 + 2.17008i −0.0569498 + 0.0986399i
\(485\) −0.0596728 + 2.72942i −0.00270960 + 0.123937i
\(486\) −1.71649 6.40605i −0.0778618 0.290584i
\(487\) 26.4208i 1.19724i −0.801033 0.598620i \(-0.795716\pi\)
0.801033 0.598620i \(-0.204284\pi\)
\(488\) 4.95025 1.32641i 0.224087 0.0600440i
\(489\) 42.9931 + 42.9931i 1.94422 + 1.94422i
\(490\) −1.52540 0.925723i −0.0689105 0.0418199i
\(491\) −4.33130 −0.195469 −0.0977345 0.995213i \(-0.531160\pi\)
−0.0977345 + 0.995213i \(0.531160\pi\)
\(492\) −11.6526 11.6526i −0.525338 0.525338i
\(493\) 6.37678 23.7985i 0.287196 1.07183i
\(494\) 10.4218 2.79251i 0.468899 0.125641i
\(495\) 17.5391 + 31.9727i 0.788322 + 1.43707i
\(496\) 1.27666 4.76457i 0.0573239 0.213936i
\(497\) −39.1127 10.4802i −1.75444 0.470102i
\(498\) 14.0720 + 24.3735i 0.630583 + 1.09220i
\(499\) −2.76003 10.3006i −0.123556 0.461117i 0.876228 0.481896i \(-0.160052\pi\)
−0.999784 + 0.0207796i \(0.993385\pi\)
\(500\) −6.21265 + 9.29532i −0.277838 + 0.415699i
\(501\) 8.49430 31.7012i 0.379497 1.41630i
\(502\) −6.62378 + 24.7203i −0.295634 + 1.10332i
\(503\) −14.9266 25.8537i −0.665545 1.15276i −0.979137 0.203200i \(-0.934866\pi\)
0.313592 0.949558i \(-0.398468\pi\)
\(504\) 9.85395 + 9.85395i 0.438930 + 0.438930i
\(505\) −0.483170 + 22.1001i −0.0215008 + 0.983443i
\(506\) −17.6631 + 10.1978i −0.785220 + 0.453347i
\(507\) 9.00939 9.00939i 0.400121 0.400121i
\(508\) 12.8427 12.8427i 0.569802 0.569802i
\(509\) 7.95122 + 13.7719i 0.352432 + 0.610429i 0.986675 0.162704i \(-0.0520216\pi\)
−0.634243 + 0.773133i \(0.718688\pi\)
\(510\) 8.25699 28.3240i 0.365626 1.25421i
\(511\) −5.85130 3.37825i −0.258846 0.149445i
\(512\) 1.00000 0.0441942
\(513\) −24.1725 13.9560i −1.06724 0.616172i
\(514\) −2.48829 1.43662i −0.109754 0.0633664i
\(515\) −0.232212 + 10.6214i −0.0102325 + 0.468033i
\(516\) −27.9638 7.49287i −1.23104 0.329855i
\(517\) −20.1239 20.1239i −0.885047 0.885047i
\(518\) −14.1856 5.31442i −0.623281 0.233502i
\(519\) 59.7299i 2.62185i
\(520\) 3.41277 5.62353i 0.149660 0.246608i
\(521\) −11.9100 6.87626i −0.521788 0.301254i 0.215878 0.976420i \(-0.430739\pi\)
−0.737666 + 0.675166i \(0.764072\pi\)
\(522\) −29.5917 + 7.92906i −1.29519 + 0.347046i
\(523\) −15.8567 + 27.4646i −0.693364 + 1.20094i 0.277365 + 0.960765i \(0.410539\pi\)
−0.970729 + 0.240177i \(0.922794\pi\)
\(524\) −3.15459 3.15459i −0.137809 0.137809i
\(525\) −32.3837 + 16.8544i −1.41334 + 0.735586i
\(526\) 17.3445 17.3445i 0.756255 0.756255i
\(527\) −21.4419 5.74533i −0.934022 0.250271i
\(528\) 6.04211 + 6.04211i 0.262949 + 0.262949i
\(529\) 25.9722 1.12923
\(530\) −21.5016 + 5.26044i −0.933970 + 0.228499i
\(531\) −8.01656 29.9182i −0.347889 1.29834i
\(532\) −9.13381 −0.396001
\(533\) −14.3199 + 8.26757i −0.620262 + 0.358108i
\(534\) −15.3773 + 8.87809i −0.665441 + 0.384192i
\(535\) −5.22546 21.3587i −0.225916 0.923415i
\(536\) −3.36263 + 0.901014i −0.145243 + 0.0389179i
\(537\) −38.9857 22.5084i −1.68236 0.971309i
\(538\) 25.7295 14.8550i 1.10928 0.640443i
\(539\) −1.16284 2.01410i −0.0500870 0.0867533i
\(540\) −16.5298 + 4.04407i −0.711329 + 0.174029i
\(541\) −9.03482 + 9.03482i −0.388437 + 0.388437i −0.874130 0.485692i \(-0.838568\pi\)
0.485692 + 0.874130i \(0.338568\pi\)
\(542\) 2.71569 4.70372i 0.116649 0.202042i
\(543\) 19.1235 + 5.12414i 0.820669 + 0.219898i
\(544\) 4.50027i 0.192947i
\(545\) −4.64721 + 15.9413i −0.199065 + 0.682851i
\(546\) 18.6017 10.7397i 0.796080 0.459617i
\(547\) −16.5498 −0.707618 −0.353809 0.935318i \(-0.615114\pi\)
−0.353809 + 0.935318i \(0.615114\pi\)
\(548\) 5.14169 + 19.1890i 0.219642 + 0.819715i
\(549\) −20.2781 + 20.2781i −0.865447 + 0.865447i
\(550\) −12.9265 + 6.72769i −0.551186 + 0.286870i
\(551\) 10.0397 17.3893i 0.427707 0.740810i
\(552\) −5.31023 19.8180i −0.226018 0.843511i
\(553\) −6.36368 11.0222i −0.270611 0.468712i
\(554\) 2.45265 0.104203
\(555\) 31.3338 24.6660i 1.33004 1.04701i
\(556\) −8.21358 −0.348333
\(557\) 4.63703 + 8.03158i 0.196477 + 0.340309i 0.947384 0.320100i \(-0.103716\pi\)
−0.750906 + 0.660409i \(0.770383\pi\)
\(558\) 7.14390 + 26.6614i 0.302425 + 1.12867i
\(559\) −14.5243 + 25.1567i −0.614311 + 1.06402i
\(560\) −4.02277 + 3.85064i −0.169993 + 0.162719i
\(561\) 27.1911 27.1911i 1.14801 1.14801i
\(562\) −1.92642 7.18951i −0.0812613 0.303271i
\(563\) −27.5466 −1.16095 −0.580475 0.814278i \(-0.697133\pi\)
−0.580475 + 0.814278i \(0.697133\pi\)
\(564\) 24.7935 14.3145i 1.04399 0.602750i
\(565\) 4.48684 2.46132i 0.188763 0.103548i
\(566\) 16.2215i 0.681843i
\(567\) −13.2910 3.56132i −0.558171 0.149561i
\(568\) 8.12975 14.0811i 0.341117 0.590832i
\(569\) 23.5363 23.5363i 0.986692 0.986692i −0.0132206 0.999913i \(-0.504208\pi\)
0.999913 + 0.0132206i \(0.00420837\pi\)
\(570\) 12.4744 20.5552i 0.522496 0.860964i
\(571\) −2.22675 3.85684i −0.0931864 0.161404i 0.815664 0.578526i \(-0.196372\pi\)
−0.908850 + 0.417123i \(0.863039\pi\)
\(572\) 7.42516 4.28692i 0.310462 0.179245i
\(573\) 63.6849 + 36.7685i 2.66048 + 1.53603i
\(574\) 13.5209 3.62291i 0.564350 0.151217i
\(575\) 34.9566 + 1.52923i 1.45779 + 0.0637733i
\(576\) −4.84607 + 2.79788i −0.201919 + 0.116578i
\(577\) −24.0954 + 13.9115i −1.00311 + 0.579144i −0.909166 0.416434i \(-0.863280\pi\)
−0.0939404 + 0.995578i \(0.529946\pi\)
\(578\) −3.25242 −0.135283
\(579\) −6.77960 25.3018i −0.281750 1.05151i
\(580\) −2.90924 11.8913i −0.120800 0.493759i
\(581\) −23.9063 −0.991799
\(582\) −2.53114 2.53114i −0.104919 0.104919i
\(583\) −27.8686 7.46736i −1.15420 0.309266i
\(584\) 1.91840 1.91840i 0.0793841 0.0793841i
\(585\) −0.804561 + 36.8005i −0.0332645 + 1.52151i
\(586\) −12.1597 12.1597i −0.502311 0.502311i
\(587\) −12.9461 + 22.4234i −0.534344 + 0.925511i 0.464850 + 0.885389i \(0.346108\pi\)
−0.999195 + 0.0401223i \(0.987225\pi\)
\(588\) 2.25982 0.605517i 0.0931934 0.0249711i
\(589\) −15.6674 9.04556i −0.645563 0.372716i
\(590\) 12.0225 2.94134i 0.494959 0.121093i
\(591\) 36.6196i 1.50633i
\(592\) 3.53553 4.94975i 0.145310 0.203433i
\(593\) 2.54694 + 2.54694i 0.104590 + 0.104590i 0.757466 0.652875i \(-0.226437\pi\)
−0.652875 + 0.757466i \(0.726437\pi\)
\(594\) −21.4245 5.74068i −0.879058 0.235543i
\(595\) 17.3289 + 18.1036i 0.710416 + 0.742174i
\(596\) 20.0910 + 11.5995i 0.822958 + 0.475135i
\(597\) 6.57334 + 3.79512i 0.269029 + 0.155324i
\(598\) −20.5868 −0.841856
\(599\) 22.7545 + 13.1373i 0.929722 + 0.536775i 0.886724 0.462300i \(-0.152976\pi\)
0.0429982 + 0.999075i \(0.486309\pi\)
\(600\) −3.17162 14.3120i −0.129481 0.584287i
\(601\) −2.70181 4.67966i −0.110209 0.190887i 0.805645 0.592398i \(-0.201819\pi\)
−0.915854 + 0.401510i \(0.868485\pi\)
\(602\) 17.3885 17.3885i 0.708702 0.708702i
\(603\) 13.7746 13.7746i 0.560945 0.560945i
\(604\) −7.53024 + 4.34759i −0.306401 + 0.176901i
\(605\) 5.60178 + 0.122470i 0.227745 + 0.00497913i
\(606\) −20.4947 20.4947i −0.832538 0.832538i
\(607\) 0.348070 + 0.602876i 0.0141277 + 0.0244700i 0.873003 0.487715i \(-0.162170\pi\)
−0.858875 + 0.512185i \(0.828836\pi\)
\(608\) 0.949252 3.54266i 0.0384972 0.143674i
\(609\) 10.3460 38.6117i 0.419241 1.56463i
\(610\) −7.92408 8.27831i −0.320837 0.335179i
\(611\) −7.43490 27.7474i −0.300784 1.12254i
\(612\) 12.5912 + 21.8086i 0.508969 + 0.881560i
\(613\) −31.7889 8.51781i −1.28394 0.344031i −0.448585 0.893740i \(-0.648072\pi\)
−0.835356 + 0.549709i \(0.814739\pi\)
\(614\) 1.60829 6.00222i 0.0649053 0.242230i
\(615\) −10.3128 + 35.3761i −0.415853 + 1.42650i
\(616\) −7.01087 + 1.87856i −0.282476 + 0.0756892i
\(617\) −5.00558 + 18.6811i −0.201517 + 0.752071i 0.788966 + 0.614437i \(0.210617\pi\)
−0.990483 + 0.137635i \(0.956050\pi\)
\(618\) −9.84976 9.84976i −0.396215 0.396215i
\(619\) −34.7569 −1.39700 −0.698499 0.715611i \(-0.746148\pi\)
−0.698499 + 0.715611i \(0.746148\pi\)
\(620\) −10.7138 + 2.62116i −0.430275 + 0.105268i
\(621\) 37.6587 + 37.6587i 1.51119 + 1.51119i
\(622\) 13.2447 3.54892i 0.531066 0.142299i
\(623\) 15.0825i 0.604269i
\(624\) 2.23230 + 8.33105i 0.0893634 + 0.333509i
\(625\) 24.9045 + 2.18315i 0.996180 + 0.0873258i
\(626\) −7.92622 + 13.7286i −0.316795 + 0.548706i
\(627\) 27.1406 15.6696i 1.08389 0.625785i
\(628\) −1.12514 + 1.12514i −0.0448979 + 0.0448979i
\(629\) −22.2752 15.9109i −0.888170 0.634407i
\(630\) 8.72101 29.9157i 0.347453 1.19187i
\(631\) 8.92452 33.3068i 0.355280 1.32592i −0.524853 0.851193i \(-0.675880\pi\)
0.880132 0.474728i \(-0.157454\pi\)
\(632\) 4.93645 1.32272i 0.196362 0.0526149i
\(633\) −15.9431 59.5003i −0.633680 2.36493i
\(634\) −21.4532 + 5.74837i −0.852016 + 0.228297i
\(635\) −38.9892 11.3661i −1.54724 0.451050i
\(636\) 14.5118 25.1352i 0.575430 0.996675i
\(637\) 2.34748i 0.0930105i
\(638\) 4.12976 15.4125i 0.163499 0.610185i
\(639\) 90.9842i 3.59928i
\(640\) −1.07544 1.96047i −0.0425105 0.0774942i
\(641\) 11.7067 + 20.2766i 0.462387 + 0.800879i 0.999079 0.0428997i \(-0.0136596\pi\)
−0.536692 + 0.843778i \(0.680326\pi\)
\(642\) 24.9681 + 14.4153i 0.985410 + 0.568927i
\(643\) 20.0645i 0.791267i −0.918408 0.395633i \(-0.870525\pi\)
0.918408 0.395633i \(-0.129475\pi\)
\(644\) 16.8339 + 4.51064i 0.663349 + 0.177744i
\(645\) 15.3838 + 62.8802i 0.605738 + 2.47590i
\(646\) −15.9429 4.27189i −0.627265 0.168075i
\(647\) 12.3158 21.3316i 0.484184 0.838632i −0.515651 0.856799i \(-0.672450\pi\)
0.999835 + 0.0181670i \(0.00578305\pi\)
\(648\) 2.76260 4.78497i 0.108525 0.187971i
\(649\) 15.5825 + 4.17533i 0.611669 + 0.163896i
\(650\) −14.6950 0.642853i −0.576384 0.0252148i
\(651\) −34.7883 9.32149i −1.36346 0.365338i
\(652\) 20.7382i 0.812172i
\(653\) 23.9165 + 13.8082i 0.935926 + 0.540357i 0.888681 0.458526i \(-0.151623\pi\)
0.0472449 + 0.998883i \(0.484956\pi\)
\(654\) −10.8859 18.8549i −0.425671 0.737284i
\(655\) −2.79190 + 9.57705i −0.109089 + 0.374206i
\(656\) 5.62075i 0.219453i
\(657\) −3.92925 + 14.6642i −0.153295 + 0.572103i
\(658\) 24.3182i 0.948023i
\(659\) 2.31063 4.00213i 0.0900094 0.155901i −0.817505 0.575921i \(-0.804644\pi\)
0.907515 + 0.420020i \(0.137977\pi\)
\(660\) 5.34743 18.3433i 0.208148 0.714011i
\(661\) 28.2133 7.55973i 1.09737 0.294039i 0.335677 0.941977i \(-0.391035\pi\)
0.761693 + 0.647938i \(0.224368\pi\)
\(662\) −3.76116 14.0369i −0.146182 0.545558i
\(663\) 37.4920 10.0459i 1.45607 0.390152i
\(664\) 2.48451 9.27233i 0.0964178 0.359836i
\(665\) 9.82286 + 17.9065i 0.380914 + 0.694385i
\(666\) −3.28464 + 33.8788i −0.127277 + 1.31278i
\(667\) −27.0911 + 27.0911i −1.04897 + 1.04897i
\(668\) −9.69438 + 5.59705i −0.375087 + 0.216556i
\(669\) 7.59012 13.1465i 0.293451 0.508272i
\(670\) 5.38271 + 5.62333i 0.207952 + 0.217248i
\(671\) −3.86581 14.4274i −0.149238 0.556964i
\(672\) 7.30145i 0.281659i
\(673\) −13.0509 + 3.49699i −0.503077 + 0.134799i −0.501428 0.865200i \(-0.667192\pi\)
−0.00164915 + 0.999999i \(0.500525\pi\)
\(674\) −9.88088 9.88088i −0.380597 0.380597i
\(675\) 25.7050 + 28.0569i 0.989388 + 1.07991i
\(676\) −4.34579 −0.167146
\(677\) −31.0974 31.0974i −1.19517 1.19517i −0.975596 0.219575i \(-0.929533\pi\)
−0.219575 0.975596i \(-0.570467\pi\)
\(678\) −1.73668 + 6.48137i −0.0666967 + 0.248916i
\(679\) 2.93698 0.786960i 0.112711 0.0302008i
\(680\) −8.82263 + 4.83977i −0.338332 + 0.185597i
\(681\) −5.66221 + 21.1317i −0.216977 + 0.809767i
\(682\) −13.8863 3.72081i −0.531733 0.142477i
\(683\) −20.9205 36.2354i −0.800502 1.38651i −0.919286 0.393589i \(-0.871233\pi\)
0.118785 0.992920i \(-0.462100\pi\)
\(684\) 5.31178 + 19.8238i 0.203101 + 0.757983i
\(685\) 32.0899 30.7168i 1.22609 1.17363i
\(686\) −5.02626 + 18.7583i −0.191903 + 0.716193i
\(687\) −8.83926 + 32.9886i −0.337239 + 1.25859i
\(688\) 4.93719 + 8.55147i 0.188229 + 0.326022i
\(689\) −20.5925 20.5925i −0.784510 0.784510i
\(690\) −33.1418 + 31.7236i −1.26169 + 1.20770i
\(691\) 10.8371 6.25679i 0.412262 0.238019i −0.279499 0.960146i \(-0.590168\pi\)
0.691761 + 0.722126i \(0.256835\pi\)
\(692\) −14.4057 + 14.4057i −0.547623 + 0.547623i
\(693\) 28.7192 28.7192i 1.09095 1.09095i
\(694\) 6.93875 + 12.0183i 0.263391 + 0.456207i
\(695\) 8.83321 + 16.1024i 0.335063 + 0.610800i
\(696\) 13.9008 + 8.02562i 0.526908 + 0.304211i
\(697\) 25.2949 0.958112
\(698\) 17.0386 + 9.83722i 0.644919 + 0.372344i
\(699\) 49.0236 + 28.3038i 1.85424 + 1.07055i
\(700\) 11.8753 + 3.74538i 0.448844 + 0.141562i
\(701\) 39.0904 + 10.4742i 1.47643 + 0.395607i 0.905129 0.425137i \(-0.139774\pi\)
0.571296 + 0.820744i \(0.306441\pi\)
\(702\) −15.8309 15.8309i −0.597497 0.597497i
\(703\) −14.1791 17.2237i −0.534776 0.649605i
\(704\) 2.91448i 0.109844i
\(705\) −54.7270 33.2124i −2.06114 1.25085i
\(706\) 22.2766 + 12.8614i 0.838391 + 0.484046i
\(707\) 23.7807 6.37201i 0.894364 0.239644i
\(708\) −8.11419 + 14.0542i −0.304950 + 0.528189i
\(709\) 33.0295 + 33.0295i 1.24045 + 1.24045i 0.959815 + 0.280634i \(0.0905449\pi\)
0.280634 + 0.959815i \(0.409455\pi\)
\(710\) −36.3487 0.794683i −1.36414 0.0298239i
\(711\) −20.2216 + 20.2216i −0.758368 + 0.758368i
\(712\) 5.84994 + 1.56749i 0.219236 + 0.0587440i
\(713\) 24.4084 + 24.4084i 0.914103 + 0.914103i
\(714\) −32.8585 −1.22970
\(715\) −16.3897 9.94646i −0.612939 0.371976i
\(716\) 3.97401 + 14.8312i 0.148516 + 0.554268i
\(717\) −30.1616 −1.12641
\(718\) 2.84336 1.64161i 0.106113 0.0612645i
\(719\) −9.31836 + 5.37996i −0.347516 + 0.200639i −0.663591 0.748096i \(-0.730968\pi\)
0.316075 + 0.948734i \(0.397635\pi\)
\(720\) 10.6968 + 6.49160i 0.398646 + 0.241928i
\(721\) 11.4290 3.06240i 0.425639 0.114050i
\(722\) 4.80516 + 2.77426i 0.178829 + 0.103247i
\(723\) 57.5950 33.2525i 2.14198 1.23667i
\(724\) −3.37639 5.84808i −0.125482 0.217342i
\(725\) −20.1837 + 18.4918i −0.749605 + 0.686769i
\(726\) −5.19484 + 5.19484i −0.192798 + 0.192798i
\(727\) −13.7671 + 23.8454i −0.510595 + 0.884377i 0.489329 + 0.872099i \(0.337242\pi\)
−0.999925 + 0.0122778i \(0.996092\pi\)
\(728\) −7.07660 1.89617i −0.262276 0.0702767i
\(729\) 36.0197i 1.33406i
\(730\) −5.82409 1.69784i −0.215559 0.0628398i
\(731\) 38.4839 22.2187i 1.42338 0.821788i
\(732\) 15.0254 0.555354
\(733\) 12.9712 + 48.4090i 0.479101 + 1.78803i 0.605271 + 0.796020i \(0.293065\pi\)
−0.126170 + 0.992009i \(0.540268\pi\)
\(734\) −2.19981 + 2.19981i −0.0811964 + 0.0811964i
\(735\) −3.61740 3.77910i −0.133430 0.139394i
\(736\) −3.49901 + 6.06046i −0.128975 + 0.223391i
\(737\) 2.62599 + 9.80032i 0.0967295 + 0.360999i
\(738\) −15.7262 27.2385i −0.578888 1.00266i
\(739\) 23.0622 0.848358 0.424179 0.905578i \(-0.360563\pi\)
0.424179 + 0.905578i \(0.360563\pi\)
\(740\) −13.5061 1.60814i −0.496493 0.0591164i
\(741\) 31.6330 1.16207
\(742\) 12.3267 + 21.3504i 0.452527 + 0.783799i
\(743\) 11.5317 + 43.0369i 0.423057 + 1.57887i 0.768130 + 0.640294i \(0.221188\pi\)
−0.345073 + 0.938576i \(0.612146\pi\)
\(744\) 7.23090 12.5243i 0.265098 0.459163i
\(745\) 1.13385 51.8623i 0.0415412 1.90009i
\(746\) −8.90406 + 8.90406i −0.326001 + 0.326001i
\(747\) 13.9027 + 51.8857i 0.508674 + 1.89840i
\(748\) −13.1160 −0.479567
\(749\) −21.2085 + 12.2447i −0.774941 + 0.447412i
\(750\) −24.6474 + 21.6096i −0.899996 + 0.789071i
\(751\) 39.1233i 1.42763i −0.700335 0.713814i \(-0.746966\pi\)
0.700335 0.713814i \(-0.253034\pi\)
\(752\) −9.43211 2.52733i −0.343954 0.0921621i
\(753\) −37.5165 + 64.9804i −1.36718 + 2.36802i
\(754\) 11.3885 11.3885i 0.414744 0.414744i
\(755\) 16.6216 + 10.0872i 0.604923 + 0.367111i
\(756\) 9.47638 + 16.4136i 0.344653 + 0.596956i
\(757\) −27.1922 + 15.6994i −0.988318 + 0.570606i −0.904771 0.425898i \(-0.859958\pi\)
−0.0835471 + 0.996504i \(0.526625\pi\)
\(758\) 21.6238 + 12.4845i 0.785413 + 0.453459i
\(759\) −57.7593 + 15.4766i −2.09653 + 0.561764i
\(760\) −7.96612 + 1.94894i −0.288962 + 0.0706954i
\(761\) −3.86054 + 2.22888i −0.139945 + 0.0807970i −0.568338 0.822795i \(-0.692413\pi\)
0.428393 + 0.903593i \(0.359080\pi\)
\(762\) 46.1151 26.6246i 1.67057 0.964506i
\(763\) 18.4934 0.669508
\(764\) −6.49173 24.2275i −0.234862 0.876518i
\(765\) 29.2139 48.1385i 1.05623 1.74045i
\(766\) 27.3082 0.986686
\(767\) 11.5142 + 11.5142i 0.415752 + 0.415752i
\(768\) 2.83195 + 0.758819i 0.102189 + 0.0273815i
\(769\) 10.1672 10.1672i 0.366640 0.366640i −0.499610 &min