Properties

Label 144.2.u.a.59.5
Level $144$
Weight $2$
Character 144.59
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 59.5
Character \(\chi\) \(=\) 144.59
Dual form 144.2.u.a.83.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.25625 + 0.649489i) q^{2} +(-1.73001 + 0.0841095i) q^{3} +(1.15633 - 1.63184i) q^{4} +(-0.315990 - 1.17929i) q^{5} +(2.11869 - 1.22928i) q^{6} +(1.93802 + 3.35676i) q^{7} +(-0.392771 + 2.80102i) q^{8} +(2.98585 - 0.291020i) q^{9} +O(q^{10})\) \(q+(-1.25625 + 0.649489i) q^{2} +(-1.73001 + 0.0841095i) q^{3} +(1.15633 - 1.63184i) q^{4} +(-0.315990 - 1.17929i) q^{5} +(2.11869 - 1.22928i) q^{6} +(1.93802 + 3.35676i) q^{7} +(-0.392771 + 2.80102i) q^{8} +(2.98585 - 0.291020i) q^{9} +(1.16290 + 1.27625i) q^{10} +(-0.678298 + 2.53144i) q^{11} +(-1.86320 + 2.92036i) q^{12} +(0.594225 + 2.21768i) q^{13} +(-4.61482 - 2.95820i) q^{14} +(0.645854 + 2.01360i) q^{15} +(-1.32582 - 3.77389i) q^{16} +1.65347i q^{17} +(-3.56196 + 2.30487i) q^{18} +(2.32189 + 2.32189i) q^{19} +(-2.28980 - 0.847999i) q^{20} +(-3.63513 - 5.64421i) q^{21} +(-0.792033 - 3.62067i) q^{22} +(6.27540 + 3.62310i) q^{23} +(0.443904 - 4.87883i) q^{24} +(3.03925 - 1.75471i) q^{25} +(-2.18686 - 2.40002i) q^{26} +(-5.14107 + 0.754605i) q^{27} +(7.71869 + 0.718958i) q^{28} +(1.40354 - 5.23808i) q^{29} +(-2.11917 - 2.11011i) q^{30} +(-6.44476 - 3.72088i) q^{31} +(4.11666 + 3.87984i) q^{32} +(0.960542 - 4.43646i) q^{33} +(-1.07391 - 2.07717i) q^{34} +(3.34619 - 3.34619i) q^{35} +(2.97772 - 5.20895i) q^{36} +(0.499924 + 0.499924i) q^{37} +(-4.42492 - 1.40883i) q^{38} +(-1.21454 - 3.78662i) q^{39} +(3.42733 - 0.421904i) q^{40} +(-5.22021 + 9.04166i) q^{41} +(8.23249 + 4.72955i) q^{42} +(-7.72793 - 2.07069i) q^{43} +(3.34658 + 4.03405i) q^{44} +(-1.28670 - 3.42922i) q^{45} +(-10.2366 - 0.475717i) q^{46} +(-1.91487 - 3.31665i) q^{47} +(2.61109 + 6.41734i) q^{48} +(-4.01188 + 6.94877i) q^{49} +(-2.67839 + 4.17832i) q^{50} +(-0.139072 - 2.86051i) q^{51} +(4.30602 + 1.59468i) q^{52} +(4.69522 - 4.69522i) q^{53} +(5.96836 - 4.28704i) q^{54} +3.19964 q^{55} +(-10.1636 + 4.11001i) q^{56} +(-4.21219 - 3.82160i) q^{57} +(1.63888 + 7.49192i) q^{58} +(5.98090 - 1.60258i) q^{59} +(4.03270 + 1.27445i) q^{60} +(7.52642 + 2.01670i) q^{61} +(10.5129 + 0.488556i) q^{62} +(6.76354 + 9.45877i) q^{63} +(-7.69146 - 2.20032i) q^{64} +(2.42752 - 1.40153i) q^{65} +(1.67476 + 6.19717i) q^{66} +(-13.3960 + 3.58944i) q^{67} +(2.69820 + 1.91195i) q^{68} +(-11.1612 - 5.74017i) q^{69} +(-2.03034 + 6.37697i) q^{70} -10.9828i q^{71} +(-0.357602 + 8.47774i) q^{72} +10.4967i q^{73} +(-0.952725 - 0.303334i) q^{74} +(-5.11034 + 3.29130i) q^{75} +(6.47383 - 1.10410i) q^{76} +(-9.81199 + 2.62911i) q^{77} +(3.98514 + 3.96811i) q^{78} +(7.83718 - 4.52480i) q^{79} +(-4.03156 + 2.75603i) q^{80} +(8.83061 - 1.73789i) q^{81} +(0.685418 - 14.7491i) q^{82} +(2.78431 + 0.746054i) q^{83} +(-13.4139 - 0.594588i) q^{84} +(1.94992 - 0.522479i) q^{85} +(11.0531 - 2.41790i) q^{86} +(-1.98756 + 9.17996i) q^{87} +(-6.82421 - 2.89420i) q^{88} -4.91926 q^{89} +(3.84366 + 3.47227i) q^{90} +(-6.29259 + 6.29259i) q^{91} +(13.1687 - 6.05097i) q^{92} +(11.4624 + 5.89509i) q^{93} +(4.55968 + 2.92285i) q^{94} +(2.00449 - 3.47188i) q^{95} +(-7.44818 - 6.36590i) q^{96} +(-7.00277 - 12.1291i) q^{97} +(0.526763 - 11.3351i) q^{98} +(-1.28860 + 7.75590i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} + O(q^{10}) \) \( 88 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} + 2 q^{6} - 4 q^{7} - 8 q^{10} - 6 q^{11} - 16 q^{12} - 2 q^{13} - 6 q^{14} - 2 q^{16} - 10 q^{18} - 8 q^{19} - 48 q^{20} + 2 q^{21} - 2 q^{22} - 12 q^{23} - 16 q^{27} + 8 q^{28} - 6 q^{29} - 34 q^{30} - 6 q^{32} - 8 q^{33} + 2 q^{34} - 26 q^{36} - 8 q^{37} - 6 q^{38} - 32 q^{39} - 2 q^{40} + 48 q^{42} - 2 q^{43} + 6 q^{45} - 40 q^{46} + 42 q^{48} - 24 q^{49} + 72 q^{50} - 12 q^{51} - 2 q^{52} - 38 q^{54} - 16 q^{55} + 36 q^{56} + 16 q^{58} - 42 q^{59} + 70 q^{60} - 2 q^{61} - 44 q^{64} - 12 q^{65} + 104 q^{66} - 2 q^{67} + 96 q^{68} - 10 q^{69} - 16 q^{70} - 10 q^{72} + 78 q^{74} - 56 q^{75} - 14 q^{76} - 6 q^{77} + 12 q^{78} - 8 q^{81} - 36 q^{82} + 54 q^{83} + 158 q^{84} + 8 q^{85} + 54 q^{86} + 48 q^{87} + 22 q^{88} + 64 q^{90} + 20 q^{91} + 108 q^{92} - 34 q^{93} + 6 q^{94} - 58 q^{96} - 4 q^{97} + 46 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25625 + 0.649489i −0.888303 + 0.459258i
\(3\) −1.73001 + 0.0841095i −0.998820 + 0.0485606i
\(4\) 1.15633 1.63184i 0.578163 0.815921i
\(5\) −0.315990 1.17929i −0.141315 0.527394i −0.999892 0.0147097i \(-0.995318\pi\)
0.858577 0.512685i \(-0.171349\pi\)
\(6\) 2.11869 1.22928i 0.864953 0.501853i
\(7\) 1.93802 + 3.35676i 0.732504 + 1.26873i 0.955810 + 0.293986i \(0.0949820\pi\)
−0.223305 + 0.974749i \(0.571685\pi\)
\(8\) −0.392771 + 2.80102i −0.138866 + 0.990311i
\(9\) 2.98585 0.291020i 0.995284 0.0970067i
\(10\) 1.16290 + 1.27625i 0.367741 + 0.403586i
\(11\) −0.678298 + 2.53144i −0.204514 + 0.763258i 0.785083 + 0.619391i \(0.212620\pi\)
−0.989597 + 0.143867i \(0.954046\pi\)
\(12\) −1.86320 + 2.92036i −0.537860 + 0.843034i
\(13\) 0.594225 + 2.21768i 0.164808 + 0.615074i 0.998065 + 0.0621864i \(0.0198073\pi\)
−0.833256 + 0.552887i \(0.813526\pi\)
\(14\) −4.61482 2.95820i −1.23336 0.790612i
\(15\) 0.645854 + 2.01360i 0.166759 + 0.519910i
\(16\) −1.32582 3.77389i −0.331454 0.943471i
\(17\) 1.65347i 0.401025i 0.979691 + 0.200512i \(0.0642607\pi\)
−0.979691 + 0.200512i \(0.935739\pi\)
\(18\) −3.56196 + 2.30487i −0.839562 + 0.543264i
\(19\) 2.32189 + 2.32189i 0.532679 + 0.532679i 0.921369 0.388690i \(-0.127072\pi\)
−0.388690 + 0.921369i \(0.627072\pi\)
\(20\) −2.28980 0.847999i −0.512015 0.189618i
\(21\) −3.63513 5.64421i −0.793251 1.23167i
\(22\) −0.792033 3.62067i −0.168862 0.771929i
\(23\) 6.27540 + 3.62310i 1.30851 + 0.755469i 0.981848 0.189672i \(-0.0607424\pi\)
0.326663 + 0.945141i \(0.394076\pi\)
\(24\) 0.443904 4.87883i 0.0906116 0.995886i
\(25\) 3.03925 1.75471i 0.607850 0.350943i
\(26\) −2.18686 2.40002i −0.428878 0.470682i
\(27\) −5.14107 + 0.754605i −0.989399 + 0.145224i
\(28\) 7.71869 + 0.718958i 1.45869 + 0.135870i
\(29\) 1.40354 5.23808i 0.260631 0.972686i −0.704240 0.709962i \(-0.748712\pi\)
0.964871 0.262725i \(-0.0846211\pi\)
\(30\) −2.11917 2.11011i −0.386905 0.385252i
\(31\) −6.44476 3.72088i −1.15751 0.668291i −0.206806 0.978382i \(-0.566307\pi\)
−0.950707 + 0.310091i \(0.899640\pi\)
\(32\) 4.11666 + 3.87984i 0.727729 + 0.685865i
\(33\) 0.960542 4.43646i 0.167209 0.772289i
\(34\) −1.07391 2.07717i −0.184174 0.356231i
\(35\) 3.34619 3.34619i 0.565610 0.565610i
\(36\) 2.97772 5.20895i 0.496287 0.868159i
\(37\) 0.499924 + 0.499924i 0.0821870 + 0.0821870i 0.747005 0.664818i \(-0.231491\pi\)
−0.664818 + 0.747005i \(0.731491\pi\)
\(38\) −4.42492 1.40883i −0.717817 0.228543i
\(39\) −1.21454 3.78662i −0.194482 0.606345i
\(40\) 3.42733 0.421904i 0.541908 0.0667088i
\(41\) −5.22021 + 9.04166i −0.815259 + 1.41207i 0.0938824 + 0.995583i \(0.470072\pi\)
−0.909142 + 0.416487i \(0.863261\pi\)
\(42\) 8.23249 + 4.72955i 1.27030 + 0.729786i
\(43\) −7.72793 2.07069i −1.17850 0.315778i −0.384168 0.923263i \(-0.625512\pi\)
−0.794331 + 0.607485i \(0.792178\pi\)
\(44\) 3.34658 + 4.03405i 0.504516 + 0.608156i
\(45\) −1.28670 3.42922i −0.191809 0.511199i
\(46\) −10.2366 0.475717i −1.50931 0.0701406i
\(47\) −1.91487 3.31665i −0.279312 0.483782i 0.691902 0.721991i \(-0.256773\pi\)
−0.971214 + 0.238209i \(0.923440\pi\)
\(48\) 2.61109 + 6.41734i 0.376879 + 0.926263i
\(49\) −4.01188 + 6.94877i −0.573125 + 0.992682i
\(50\) −2.67839 + 4.17832i −0.378782 + 0.590904i
\(51\) −0.139072 2.86051i −0.0194740 0.400552i
\(52\) 4.30602 + 1.59468i 0.597138 + 0.221142i
\(53\) 4.69522 4.69522i 0.644938 0.644938i −0.306827 0.951765i \(-0.599267\pi\)
0.951765 + 0.306827i \(0.0992673\pi\)
\(54\) 5.96836 4.28704i 0.812190 0.583392i
\(55\) 3.19964 0.431439
\(56\) −10.1636 + 4.11001i −1.35816 + 0.549224i
\(57\) −4.21219 3.82160i −0.557918 0.506183i
\(58\) 1.63888 + 7.49192i 0.215196 + 0.983737i
\(59\) 5.98090 1.60258i 0.778647 0.208638i 0.152459 0.988310i \(-0.451281\pi\)
0.626188 + 0.779672i \(0.284614\pi\)
\(60\) 4.03270 + 1.27445i 0.520619 + 0.164531i
\(61\) 7.52642 + 2.01670i 0.963660 + 0.258212i 0.706149 0.708064i \(-0.250431\pi\)
0.257511 + 0.966275i \(0.417098\pi\)
\(62\) 10.5129 + 0.488556i 1.33514 + 0.0620466i
\(63\) 6.76354 + 9.45877i 0.852125 + 1.19169i
\(64\) −7.69146 2.20032i −0.961433 0.275040i
\(65\) 2.42752 1.40153i 0.301097 0.173838i
\(66\) 1.67476 + 6.19717i 0.206148 + 0.762819i
\(67\) −13.3960 + 3.58944i −1.63658 + 0.438520i −0.955812 0.293980i \(-0.905020\pi\)
−0.680767 + 0.732500i \(0.738353\pi\)
\(68\) 2.69820 + 1.91195i 0.327204 + 0.231858i
\(69\) −11.1612 5.74017i −1.34365 0.691036i
\(70\) −2.03034 + 6.37697i −0.242672 + 0.762194i
\(71\) 10.9828i 1.30341i −0.758471 0.651706i \(-0.774053\pi\)
0.758471 0.651706i \(-0.225947\pi\)
\(72\) −0.357602 + 8.47774i −0.0421438 + 0.999112i
\(73\) 10.4967i 1.22855i 0.789092 + 0.614276i \(0.210552\pi\)
−0.789092 + 0.614276i \(0.789448\pi\)
\(74\) −0.952725 0.303334i −0.110752 0.0352619i
\(75\) −5.11034 + 3.29130i −0.590091 + 0.380046i
\(76\) 6.47383 1.10410i 0.742599 0.126648i
\(77\) −9.81199 + 2.62911i −1.11818 + 0.299615i
\(78\) 3.98514 + 3.96811i 0.451228 + 0.449300i
\(79\) 7.83718 4.52480i 0.881751 0.509079i 0.0105159 0.999945i \(-0.496653\pi\)
0.871235 + 0.490865i \(0.163319\pi\)
\(80\) −4.03156 + 2.75603i −0.450742 + 0.308134i
\(81\) 8.83061 1.73789i 0.981179 0.193098i
\(82\) 0.685418 14.7491i 0.0756918 1.62876i
\(83\) 2.78431 + 0.746054i 0.305618 + 0.0818900i 0.408369 0.912817i \(-0.366098\pi\)
−0.102751 + 0.994707i \(0.532764\pi\)
\(84\) −13.4139 0.594588i −1.46357 0.0648749i
\(85\) 1.94992 0.522479i 0.211498 0.0566708i
\(86\) 11.0531 2.41790i 1.19189 0.260729i
\(87\) −1.98756 + 9.17996i −0.213089 + 0.984195i
\(88\) −6.82421 2.89420i −0.727463 0.308523i
\(89\) −4.91926 −0.521441 −0.260720 0.965414i \(-0.583960\pi\)
−0.260720 + 0.965414i \(0.583960\pi\)
\(90\) 3.84366 + 3.47227i 0.405157 + 0.366009i
\(91\) −6.29259 + 6.29259i −0.659642 + 0.659642i
\(92\) 13.1687 6.05097i 1.37294 0.630857i
\(93\) 11.4624 + 5.89509i 1.18860 + 0.611293i
\(94\) 4.55968 + 2.92285i 0.470295 + 0.301469i
\(95\) 2.00449 3.47188i 0.205656 0.356207i
\(96\) −7.44818 6.36590i −0.760176 0.649717i
\(97\) −7.00277 12.1291i −0.711023 1.23153i −0.964473 0.264180i \(-0.914899\pi\)
0.253450 0.967348i \(-0.418435\pi\)
\(98\) 0.526763 11.3351i 0.0532111 1.14501i
\(99\) −1.28860 + 7.75590i −0.129509 + 0.779498i
\(100\) 0.650954 6.98860i 0.0650954 0.698860i
\(101\) 3.92753 + 1.05238i 0.390804 + 0.104716i 0.448870 0.893597i \(-0.351827\pi\)
−0.0580659 + 0.998313i \(0.518493\pi\)
\(102\) 2.03258 + 3.50319i 0.201255 + 0.346867i
\(103\) 3.96541 6.86830i 0.390724 0.676754i −0.601821 0.798631i \(-0.705558\pi\)
0.992545 + 0.121877i \(0.0388914\pi\)
\(104\) −6.44517 + 0.793399i −0.632001 + 0.0777992i
\(105\) −5.50749 + 6.07039i −0.537476 + 0.592409i
\(106\) −2.84887 + 8.94787i −0.276707 + 0.869094i
\(107\) 10.7040 + 10.7040i 1.03479 + 1.03479i 0.999372 + 0.0354212i \(0.0112773\pi\)
0.0354212 + 0.999372i \(0.488723\pi\)
\(108\) −4.71336 + 9.26198i −0.453543 + 0.891234i
\(109\) −0.225954 + 0.225954i −0.0216424 + 0.0216424i −0.717845 0.696203i \(-0.754871\pi\)
0.696203 + 0.717845i \(0.254871\pi\)
\(110\) −4.01954 + 2.07813i −0.383249 + 0.198142i
\(111\) −0.906921 0.822824i −0.0860811 0.0780990i
\(112\) 10.0985 11.7643i 0.954223 1.11162i
\(113\) 2.55128 + 1.47298i 0.240004 + 0.138567i 0.615179 0.788388i \(-0.289084\pi\)
−0.375174 + 0.926954i \(0.622417\pi\)
\(114\) 7.77365 + 2.06511i 0.728069 + 0.193416i
\(115\) 2.28973 8.54538i 0.213518 0.796860i
\(116\) −6.92476 8.34728i −0.642948 0.775026i
\(117\) 2.41966 + 6.44873i 0.223697 + 0.596185i
\(118\) −6.47265 + 5.89777i −0.595856 + 0.542934i
\(119\) −5.55029 + 3.20446i −0.508794 + 0.293752i
\(120\) −5.89382 + 1.01817i −0.538030 + 0.0929456i
\(121\) 3.57817 + 2.06586i 0.325289 + 0.187805i
\(122\) −10.7649 + 2.35486i −0.974608 + 0.213199i
\(123\) 8.27051 16.0812i 0.745726 1.44999i
\(124\) −13.5241 + 6.21427i −1.21450 + 0.558058i
\(125\) −7.34619 7.34619i −0.657063 0.657063i
\(126\) −14.6401 7.48973i −1.30424 0.667239i
\(127\) 20.0270i 1.77711i −0.458770 0.888555i \(-0.651710\pi\)
0.458770 0.888555i \(-0.348290\pi\)
\(128\) 11.0915 2.23137i 0.980358 0.197227i
\(129\) 13.5435 + 2.93232i 1.19244 + 0.258177i
\(130\) −2.13929 + 3.33732i −0.187628 + 0.292702i
\(131\) −2.35363 8.78388i −0.205638 0.767451i −0.989254 0.146206i \(-0.953294\pi\)
0.783616 0.621245i \(-0.213373\pi\)
\(132\) −6.12891 6.69745i −0.533453 0.582938i
\(133\) −3.29415 + 12.2939i −0.285639 + 1.06602i
\(134\) 14.4974 13.2098i 1.25238 1.14115i
\(135\) 2.51442 + 5.82436i 0.216407 + 0.501281i
\(136\) −4.63140 0.649434i −0.397139 0.0556885i
\(137\) −5.06820 8.77838i −0.433005 0.749987i 0.564125 0.825689i \(-0.309214\pi\)
−0.997130 + 0.0757020i \(0.975880\pi\)
\(138\) 17.7495 0.0380045i 1.51093 0.00323516i
\(139\) −1.87055 6.98099i −0.158658 0.592120i −0.998764 0.0496980i \(-0.984174\pi\)
0.840106 0.542422i \(-0.182493\pi\)
\(140\) −1.59117 9.32975i −0.134478 0.788508i
\(141\) 3.59169 + 5.57676i 0.302475 + 0.469648i
\(142\) 7.13318 + 13.7971i 0.598603 + 1.15783i
\(143\) −6.01699 −0.503166
\(144\) −5.05697 10.8824i −0.421414 0.906868i
\(145\) −6.62071 −0.549820
\(146\) −6.81753 13.1865i −0.564223 1.09133i
\(147\) 6.35612 12.3589i 0.524244 1.01934i
\(148\) 1.39387 0.237722i 0.114576 0.0195406i
\(149\) −0.894564 3.33856i −0.0732855 0.273505i 0.919554 0.392965i \(-0.128551\pi\)
−0.992839 + 0.119459i \(0.961884\pi\)
\(150\) 4.28220 7.45380i 0.349640 0.608600i
\(151\) −0.234448 0.406076i −0.0190791 0.0330460i 0.856328 0.516432i \(-0.172740\pi\)
−0.875407 + 0.483386i \(0.839407\pi\)
\(152\) −7.41565 + 5.59171i −0.601489 + 0.453547i
\(153\) 0.481192 + 4.93701i 0.0389021 + 0.399133i
\(154\) 10.6187 9.67561i 0.855681 0.779683i
\(155\) −2.35152 + 8.77600i −0.188879 + 0.704906i
\(156\) −7.58358 2.39663i −0.607172 0.191884i
\(157\) −1.68146 6.27529i −0.134195 0.500823i −1.00000 0.000440823i \(-0.999860\pi\)
0.865805 0.500382i \(-0.166807\pi\)
\(158\) −6.90664 + 10.7744i −0.549463 + 0.857168i
\(159\) −7.72785 + 8.51768i −0.612859 + 0.675496i
\(160\) 3.27463 6.08072i 0.258882 0.480723i
\(161\) 28.0866i 2.21354i
\(162\) −9.96472 + 7.91861i −0.782902 + 0.622145i
\(163\) 10.7957 + 10.7957i 0.845583 + 0.845583i 0.989578 0.143996i \(-0.0459951\pi\)
−0.143996 + 0.989578i \(0.545995\pi\)
\(164\) 8.71830 + 18.9737i 0.680785 + 1.48159i
\(165\) −5.53540 + 0.269120i −0.430930 + 0.0209510i
\(166\) −3.98234 + 0.871150i −0.309090 + 0.0676144i
\(167\) −5.80942 3.35407i −0.449546 0.259546i 0.258092 0.966120i \(-0.416906\pi\)
−0.707639 + 0.706575i \(0.750239\pi\)
\(168\) 17.2373 7.96521i 1.32989 0.614529i
\(169\) 6.69333 3.86440i 0.514872 0.297261i
\(170\) −2.11024 + 1.92281i −0.161848 + 0.147473i
\(171\) 7.60855 + 6.25711i 0.581840 + 0.478493i
\(172\) −12.3151 + 10.2164i −0.939015 + 0.778991i
\(173\) −2.13331 + 7.96162i −0.162192 + 0.605310i 0.836189 + 0.548441i \(0.184779\pi\)
−0.998382 + 0.0568693i \(0.981888\pi\)
\(174\) −3.46542 12.8232i −0.262713 0.972126i
\(175\) 11.7803 + 6.80135i 0.890506 + 0.514134i
\(176\) 10.4527 0.796409i 0.787899 0.0600316i
\(177\) −10.2122 + 3.27552i −0.767597 + 0.246203i
\(178\) 6.17982 3.19501i 0.463197 0.239476i
\(179\) 3.01712 3.01712i 0.225510 0.225510i −0.585304 0.810814i \(-0.699025\pi\)
0.810814 + 0.585304i \(0.199025\pi\)
\(180\) −7.08379 1.86562i −0.527995 0.139055i
\(181\) 13.4602 + 13.4602i 1.00049 + 1.00049i 1.00000 0.000489717i \(0.000155882\pi\)
0.000489717 1.00000i \(0.499844\pi\)
\(182\) 3.81809 11.9920i 0.283016 0.888908i
\(183\) −13.1904 2.85586i −0.975062 0.211111i
\(184\) −12.6132 + 16.1545i −0.929857 + 1.19092i
\(185\) 0.431585 0.747526i 0.0317307 0.0549592i
\(186\) −18.2285 + 0.0390302i −1.33658 + 0.00286183i
\(187\) −4.18565 1.12154i −0.306085 0.0820153i
\(188\) −7.62645 0.710367i −0.556216 0.0518088i
\(189\) −12.4965 15.7949i −0.908989 1.14891i
\(190\) −0.263192 + 5.66344i −0.0190939 + 0.410869i
\(191\) −0.130752 0.226469i −0.00946088 0.0163867i 0.861256 0.508171i \(-0.169678\pi\)
−0.870717 + 0.491784i \(0.836345\pi\)
\(192\) 13.4914 + 3.15965i 0.973655 + 0.228028i
\(193\) 0.344850 0.597298i 0.0248229 0.0429944i −0.853347 0.521343i \(-0.825431\pi\)
0.878170 + 0.478349i \(0.158764\pi\)
\(194\) 16.6750 + 10.6890i 1.19719 + 0.767427i
\(195\) −4.08174 + 2.62883i −0.292300 + 0.188255i
\(196\) 6.70026 + 14.5818i 0.478590 + 1.04156i
\(197\) −5.05530 + 5.05530i −0.360175 + 0.360175i −0.863877 0.503702i \(-0.831971\pi\)
0.503702 + 0.863877i \(0.331971\pi\)
\(198\) −3.41858 10.5803i −0.242948 0.751908i
\(199\) −4.15845 −0.294785 −0.147392 0.989078i \(-0.547088\pi\)
−0.147392 + 0.989078i \(0.547088\pi\)
\(200\) 3.72126 + 9.20222i 0.263133 + 0.650695i
\(201\) 22.8732 7.33649i 1.61335 0.517476i
\(202\) −5.61747 + 1.22884i −0.395244 + 0.0864609i
\(203\) 20.3030 5.44018i 1.42499 0.381826i
\(204\) −4.82871 3.08074i −0.338078 0.215695i
\(205\) 12.3123 + 3.29906i 0.859926 + 0.230417i
\(206\) −0.520663 + 11.2038i −0.0362763 + 0.780605i
\(207\) 19.7918 + 8.99178i 1.37563 + 0.624972i
\(208\) 7.58143 5.18277i 0.525678 0.359361i
\(209\) −7.45267 + 4.30280i −0.515512 + 0.297631i
\(210\) 2.97613 11.2030i 0.205373 0.773079i
\(211\) 8.28816 2.22080i 0.570580 0.152887i 0.0380175 0.999277i \(-0.487896\pi\)
0.532563 + 0.846391i \(0.321229\pi\)
\(212\) −2.23265 13.0911i −0.153339 0.899098i
\(213\) 0.923754 + 19.0002i 0.0632946 + 1.30188i
\(214\) −20.3990 6.49476i −1.39445 0.443972i
\(215\) 9.76779i 0.666158i
\(216\) −0.0944048 14.6966i −0.00642344 0.999979i
\(217\) 28.8447i 1.95810i
\(218\) 0.137100 0.430609i 0.00928557 0.0291645i
\(219\) −0.882876 18.1594i −0.0596592 1.22710i
\(220\) 3.69983 5.22130i 0.249442 0.352020i
\(221\) −3.66686 + 0.982532i −0.246660 + 0.0660923i
\(222\) 1.67373 + 0.444637i 0.112334 + 0.0298421i
\(223\) −10.4773 + 6.04905i −0.701610 + 0.405074i −0.807947 0.589256i \(-0.799421\pi\)
0.106337 + 0.994330i \(0.466088\pi\)
\(224\) −5.04549 + 21.3378i −0.337116 + 1.42569i
\(225\) 8.56410 6.12379i 0.570940 0.408253i
\(226\) −4.16173 0.193404i −0.276834 0.0128650i
\(227\) −12.5304 3.35751i −0.831671 0.222846i −0.182229 0.983256i \(-0.558331\pi\)
−0.649443 + 0.760411i \(0.724998\pi\)
\(228\) −11.1069 + 2.45460i −0.735573 + 0.162560i
\(229\) 6.37310 1.70767i 0.421146 0.112846i −0.0420210 0.999117i \(-0.513380\pi\)
0.463167 + 0.886271i \(0.346713\pi\)
\(230\) 2.67366 + 12.2223i 0.176296 + 0.805913i
\(231\) 16.7537 5.37367i 1.10231 0.353561i
\(232\) 14.1207 + 5.98871i 0.927070 + 0.393178i
\(233\) 7.09511 0.464816 0.232408 0.972618i \(-0.425340\pi\)
0.232408 + 0.972618i \(0.425340\pi\)
\(234\) −7.22808 6.52967i −0.472514 0.426858i
\(235\) −3.30621 + 3.30621i −0.215673 + 0.215673i
\(236\) 4.30072 11.6130i 0.279953 0.755942i
\(237\) −13.1778 + 8.48711i −0.855990 + 0.551297i
\(238\) 4.89128 7.63045i 0.317055 0.494609i
\(239\) −8.35740 + 14.4754i −0.540595 + 0.936338i 0.458275 + 0.888810i \(0.348468\pi\)
−0.998870 + 0.0475275i \(0.984866\pi\)
\(240\) 6.74282 5.10705i 0.435247 0.329658i
\(241\) −13.3143 23.0610i −0.857647 1.48549i −0.874168 0.485624i \(-0.838592\pi\)
0.0165212 0.999864i \(-0.494741\pi\)
\(242\) −5.83683 0.271249i −0.375206 0.0174366i
\(243\) −15.1309 + 3.74929i −0.970645 + 0.240517i
\(244\) 11.9939 9.94997i 0.767833 0.636982i
\(245\) 9.46233 + 2.53542i 0.604526 + 0.161982i
\(246\) 0.0547573 + 25.5736i 0.00349120 + 1.63051i
\(247\) −3.76949 + 6.52894i −0.239847 + 0.415427i
\(248\) 12.9536 16.5905i 0.822554 1.05350i
\(249\) −4.87963 1.05649i −0.309234 0.0669524i
\(250\) 13.9999 + 4.45738i 0.885433 + 0.281909i
\(251\) −12.5807 12.5807i −0.794085 0.794085i 0.188070 0.982156i \(-0.439777\pi\)
−0.982156 + 0.188070i \(0.939777\pi\)
\(252\) 23.2561 0.0995906i 1.46500 0.00627362i
\(253\) −13.4283 + 13.4283i −0.844227 + 0.844227i
\(254\) 13.0073 + 25.1589i 0.816153 + 1.57861i
\(255\) −3.32943 + 1.06790i −0.208497 + 0.0668744i
\(256\) −12.4844 + 10.0070i −0.780276 + 0.625435i
\(257\) −15.6784 9.05193i −0.977992 0.564644i −0.0763288 0.997083i \(-0.524320\pi\)
−0.901663 + 0.432439i \(0.857653\pi\)
\(258\) −18.9186 + 5.11266i −1.17782 + 0.318300i
\(259\) −0.709259 + 2.64699i −0.0440712 + 0.164476i
\(260\) 0.519932 5.58195i 0.0322448 0.346178i
\(261\) 2.66637 16.0486i 0.165044 0.993382i
\(262\) 8.66179 + 9.50609i 0.535127 + 0.587288i
\(263\) −4.90611 + 2.83254i −0.302524 + 0.174662i −0.643576 0.765382i \(-0.722550\pi\)
0.341052 + 0.940044i \(0.389217\pi\)
\(264\) 12.0494 + 4.43301i 0.741587 + 0.272833i
\(265\) −7.02067 4.05338i −0.431276 0.248997i
\(266\) −3.84650 17.5837i −0.235844 1.07813i
\(267\) 8.51036 0.413757i 0.520826 0.0253215i
\(268\) −9.63272 + 26.0107i −0.588412 + 1.58885i
\(269\) 14.2691 + 14.2691i 0.870000 + 0.870000i 0.992472 0.122472i \(-0.0390821\pi\)
−0.122472 + 0.992472i \(0.539082\pi\)
\(270\) −6.94160 5.68376i −0.422453 0.345903i
\(271\) 0.189638i 0.0115197i 0.999983 + 0.00575985i \(0.00183343\pi\)
−0.999983 + 0.00575985i \(0.998167\pi\)
\(272\) 6.23999 2.19219i 0.378355 0.132921i
\(273\) 10.3570 11.4155i 0.626831 0.690897i
\(274\) 12.0684 + 7.73609i 0.729078 + 0.467354i
\(275\) 2.38043 + 8.88390i 0.143546 + 0.535720i
\(276\) −22.2731 + 11.5758i −1.34068 + 0.696783i
\(277\) 2.08925 7.79717i 0.125531 0.468487i −0.874327 0.485337i \(-0.838697\pi\)
0.999858 + 0.0168499i \(0.00536374\pi\)
\(278\) 6.88396 + 7.55496i 0.412872 + 0.453117i
\(279\) −20.3259 9.23445i −1.21688 0.552852i
\(280\) 8.05848 + 10.6871i 0.481586 + 0.638674i
\(281\) −1.54002 2.66740i −0.0918700 0.159124i 0.816428 0.577447i \(-0.195951\pi\)
−0.908298 + 0.418324i \(0.862618\pi\)
\(282\) −8.13411 4.67304i −0.484379 0.278275i
\(283\) −2.12830 7.94293i −0.126514 0.472158i 0.873375 0.487049i \(-0.161927\pi\)
−0.999889 + 0.0148908i \(0.995260\pi\)
\(284\) −17.9221 12.6996i −1.06348 0.753586i
\(285\) −3.17577 + 6.17498i −0.188116 + 0.365774i
\(286\) 7.55884 3.90797i 0.446963 0.231083i
\(287\) −40.4675 −2.38872
\(288\) 13.4208 + 10.3866i 0.790830 + 0.612036i
\(289\) 14.2660 0.839179
\(290\) 8.31727 4.30008i 0.488407 0.252510i
\(291\) 13.1350 + 20.3945i 0.769988 + 1.19555i
\(292\) 17.1290 + 12.1377i 1.00240 + 0.710303i
\(293\) −5.55039 20.7143i −0.324257 1.21014i −0.915056 0.403326i \(-0.867854\pi\)
0.590799 0.806819i \(-0.298813\pi\)
\(294\) 0.0420825 + 19.6541i 0.00245430 + 1.14625i
\(295\) −3.77981 6.54682i −0.220069 0.381171i
\(296\) −1.59665 + 1.20394i −0.0928037 + 0.0699778i
\(297\) 1.57693 13.5262i 0.0915030 0.784867i
\(298\) 3.29215 + 3.61305i 0.190709 + 0.209298i
\(299\) −4.30588 + 16.0698i −0.249015 + 0.929338i
\(300\) −0.538348 + 12.1451i −0.0310815 + 0.701197i
\(301\) −8.02611 29.9538i −0.462617 1.72651i
\(302\) 0.558268 + 0.357861i 0.0321247 + 0.0205926i
\(303\) −6.88317 1.49028i −0.395428 0.0856144i
\(304\) 5.68415 11.8410i 0.326009 0.679126i
\(305\) 9.51309i 0.544718i
\(306\) −3.81103 5.88958i −0.217862 0.336685i
\(307\) 14.6450 + 14.6450i 0.835837 + 0.835837i 0.988308 0.152471i \(-0.0487231\pi\)
−0.152471 + 0.988308i \(0.548723\pi\)
\(308\) −7.05557 + 19.0517i −0.402028 + 1.08557i
\(309\) −6.28251 + 12.2157i −0.357399 + 0.694929i
\(310\) −2.74582 12.5521i −0.155952 0.712914i
\(311\) −0.242062 0.139755i −0.0137261 0.00792475i 0.493121 0.869961i \(-0.335856\pi\)
−0.506847 + 0.862036i \(0.669189\pi\)
\(312\) 11.0835 1.91469i 0.627477 0.108398i
\(313\) −8.17606 + 4.72045i −0.462138 + 0.266816i −0.712943 0.701222i \(-0.752638\pi\)
0.250805 + 0.968038i \(0.419305\pi\)
\(314\) 6.18807 + 6.79124i 0.349213 + 0.383252i
\(315\) 9.01743 10.9650i 0.508074 0.617810i
\(316\) 1.67859 18.0212i 0.0944278 1.01377i
\(317\) 7.92943 29.5930i 0.445361 1.66211i −0.269619 0.962967i \(-0.586898\pi\)
0.714981 0.699144i \(-0.246435\pi\)
\(318\) 4.17597 15.7195i 0.234177 0.881505i
\(319\) 12.3079 + 7.10595i 0.689108 + 0.397857i
\(320\) −0.164394 + 9.76574i −0.00918989 + 0.545922i
\(321\) −19.4183 17.6177i −1.08382 0.983323i
\(322\) −18.2420 35.2838i −1.01659 1.96629i
\(323\) −3.83917 + 3.83917i −0.213617 + 0.213617i
\(324\) 7.37512 16.4197i 0.409729 0.912207i
\(325\) 5.69739 + 5.69739i 0.316034 + 0.316034i
\(326\) −20.5737 6.55039i −1.13947 0.362792i
\(327\) 0.371897 0.409906i 0.0205659 0.0226679i
\(328\) −23.2756 18.1732i −1.28518 1.00345i
\(329\) 7.42211 12.8555i 0.409194 0.708745i
\(330\) 6.77905 3.93326i 0.373174 0.216519i
\(331\) 26.1294 + 7.00136i 1.43620 + 0.384829i 0.891202 0.453606i \(-0.149863\pi\)
0.545001 + 0.838436i \(0.316529\pi\)
\(332\) 4.43701 3.68087i 0.243513 0.202014i
\(333\) 1.63819 + 1.34721i 0.0897721 + 0.0738267i
\(334\) 9.47651 + 0.440393i 0.518532 + 0.0240972i
\(335\) 8.46598 + 14.6635i 0.462546 + 0.801153i
\(336\) −16.4811 + 21.2018i −0.899116 + 1.15665i
\(337\) −7.23274 + 12.5275i −0.393993 + 0.682415i −0.992972 0.118349i \(-0.962240\pi\)
0.598980 + 0.800764i \(0.295573\pi\)
\(338\) −5.89861 + 9.20190i −0.320842 + 0.500517i
\(339\) −4.53763 2.33368i −0.246450 0.126748i
\(340\) 1.40214 3.78611i 0.0760416 0.205331i
\(341\) 13.7907 13.7907i 0.746806 0.746806i
\(342\) −13.6222 2.91882i −0.736602 0.157832i
\(343\) −3.96811 −0.214258
\(344\) 8.83537 20.8328i 0.476371 1.12323i
\(345\) −3.24250 + 14.9762i −0.174570 + 0.806289i
\(346\) −2.49102 11.3873i −0.133918 0.612187i
\(347\) −10.2303 + 2.74121i −0.549194 + 0.147156i −0.522737 0.852494i \(-0.675089\pi\)
−0.0264566 + 0.999650i \(0.508422\pi\)
\(348\) 12.6820 + 13.8584i 0.679825 + 0.742889i
\(349\) 0.638465 + 0.171076i 0.0341762 + 0.00915749i 0.275867 0.961196i \(-0.411035\pi\)
−0.241690 + 0.970353i \(0.577702\pi\)
\(350\) −19.2164 0.893024i −1.02716 0.0477341i
\(351\) −4.72843 10.9528i −0.252385 0.584619i
\(352\) −12.6139 + 7.78939i −0.672323 + 0.415176i
\(353\) 8.55438 4.93888i 0.455304 0.262870i −0.254764 0.967003i \(-0.581998\pi\)
0.710068 + 0.704133i \(0.248664\pi\)
\(354\) 10.7017 10.7476i 0.568788 0.571229i
\(355\) −12.9518 + 3.47044i −0.687413 + 0.184192i
\(356\) −5.68828 + 8.02746i −0.301478 + 0.425455i
\(357\) 9.33251 6.01057i 0.493929 0.318113i
\(358\) −1.83067 + 5.74985i −0.0967540 + 0.303889i
\(359\) 31.4509i 1.65991i −0.557828 0.829956i \(-0.688365\pi\)
0.557828 0.829956i \(-0.311635\pi\)
\(360\) 10.1107 2.25716i 0.532881 0.118963i
\(361\) 8.21762i 0.432506i
\(362\) −25.6517 8.16712i −1.34822 0.429254i
\(363\) −6.36403 3.27299i −0.334025 0.171788i
\(364\) 2.99222 + 17.5448i 0.156835 + 0.919597i
\(365\) 12.3787 3.31686i 0.647931 0.173613i
\(366\) 18.4253 4.97935i 0.963105 0.260275i
\(367\) 2.27957 1.31611i 0.118993 0.0687004i −0.439322 0.898329i \(-0.644781\pi\)
0.558315 + 0.829629i \(0.311448\pi\)
\(368\) 5.35315 28.4862i 0.279052 1.48495i
\(369\) −12.9555 + 28.5162i −0.674434 + 1.48450i
\(370\) −0.0566675 + 1.21939i −0.00294600 + 0.0633930i
\(371\) 24.8602 + 6.66126i 1.29068 + 0.345835i
\(372\) 22.8742 11.8882i 1.18597 0.616377i
\(373\) −23.2334 + 6.22536i −1.20298 + 0.322337i −0.804003 0.594625i \(-0.797301\pi\)
−0.398975 + 0.916962i \(0.630634\pi\)
\(374\) 5.98666 1.30960i 0.309563 0.0677178i
\(375\) 13.3268 + 12.0911i 0.688195 + 0.624380i
\(376\) 10.0421 4.06090i 0.517882 0.209425i
\(377\) 12.4504 0.641228
\(378\) 25.9574 + 11.7259i 1.33510 + 0.603117i
\(379\) −8.59872 + 8.59872i −0.441687 + 0.441687i −0.892579 0.450892i \(-0.851106\pi\)
0.450892 + 0.892579i \(0.351106\pi\)
\(380\) −3.34771 7.28564i −0.171734 0.373745i
\(381\) 1.68446 + 34.6469i 0.0862976 + 1.77501i
\(382\) 0.311346 + 0.199580i 0.0159299 + 0.0102114i
\(383\) 6.23486 10.7991i 0.318586 0.551808i −0.661607 0.749851i \(-0.730125\pi\)
0.980193 + 0.198043i \(0.0634585\pi\)
\(384\) −19.0007 + 4.79319i −0.969624 + 0.244601i
\(385\) 6.20098 + 10.7404i 0.316031 + 0.547382i
\(386\) −0.0452792 + 0.974332i −0.00230465 + 0.0495922i
\(387\) −23.6771 3.93380i −1.20357 0.199966i
\(388\) −27.8903 2.59785i −1.41592 0.131886i
\(389\) 12.6272 + 3.38346i 0.640227 + 0.171548i 0.564306 0.825566i \(-0.309144\pi\)
0.0759206 + 0.997114i \(0.475810\pi\)
\(390\) 3.42029 5.95352i 0.173193 0.301468i
\(391\) −5.99068 + 10.3762i −0.302962 + 0.524745i
\(392\) −17.8879 13.9666i −0.903477 0.705422i
\(393\) 4.81061 + 14.9982i 0.242663 + 0.756560i
\(394\) 3.06735 9.63408i 0.154531 0.485358i
\(395\) −7.81252 7.81252i −0.393090 0.393090i
\(396\) 11.1664 + 11.0711i 0.561131 + 0.556346i
\(397\) 1.89653 1.89653i 0.0951839 0.0951839i −0.657911 0.753095i \(-0.728560\pi\)
0.753095 + 0.657911i \(0.228560\pi\)
\(398\) 5.22405 2.70087i 0.261858 0.135382i
\(399\) 4.66486 21.5456i 0.233535 1.07863i
\(400\) −10.6516 9.14336i −0.532579 0.457168i
\(401\) 7.73867 + 4.46792i 0.386451 + 0.223118i 0.680621 0.732635i \(-0.261710\pi\)
−0.294170 + 0.955753i \(0.595043\pi\)
\(402\) −23.9695 + 24.0724i −1.19549 + 1.20062i
\(403\) 4.42209 16.5035i 0.220280 0.822096i
\(404\) 6.25883 5.19222i 0.311388 0.258322i
\(405\) −4.83985 9.86470i −0.240494 0.490181i
\(406\) −21.9723 + 20.0208i −1.09047 + 0.993617i
\(407\) −1.60463 + 0.926431i −0.0795384 + 0.0459215i
\(408\) 8.06698 + 0.733981i 0.399375 + 0.0363375i
\(409\) 5.14089 + 2.96810i 0.254201 + 0.146763i 0.621686 0.783266i \(-0.286448\pi\)
−0.367485 + 0.930029i \(0.619781\pi\)
\(410\) −17.6100 + 3.85224i −0.869696 + 0.190249i
\(411\) 9.50636 + 14.7604i 0.468914 + 0.728075i
\(412\) −6.62266 14.4129i −0.326275 0.710074i
\(413\) 16.9706 + 16.9706i 0.835069 + 0.835069i
\(414\) −30.7035 + 1.55865i −1.50900 + 0.0766033i
\(415\) 3.51925i 0.172753i
\(416\) −6.15802 + 11.4349i −0.301922 + 0.560643i
\(417\) 3.82323 + 11.9198i 0.187225 + 0.583717i
\(418\) 6.56779 10.2458i 0.321241 0.501140i
\(419\) 8.21802 + 30.6701i 0.401476 + 1.49833i 0.810463 + 0.585790i \(0.199216\pi\)
−0.408986 + 0.912540i \(0.634118\pi\)
\(420\) 3.53745 + 16.0067i 0.172610 + 0.781047i
\(421\) −4.58184 + 17.0997i −0.223305 + 0.833387i 0.759771 + 0.650191i \(0.225311\pi\)
−0.983076 + 0.183196i \(0.941356\pi\)
\(422\) −8.96961 + 8.17296i −0.436634 + 0.397853i
\(423\) −6.68272 9.34575i −0.324925 0.454406i
\(424\) 11.3073 + 14.9956i 0.549130 + 0.728249i
\(425\) 2.90136 + 5.02530i 0.140737 + 0.243763i
\(426\) −13.5009 23.2691i −0.654122 1.12739i
\(427\) 7.81682 + 29.1728i 0.378283 + 1.41177i
\(428\) 29.8445 5.08991i 1.44259 0.246030i
\(429\) 10.4094 0.506086i 0.502572 0.0244340i
\(430\) −6.34408 12.2708i −0.305939 0.591750i
\(431\) 20.7181 0.997956 0.498978 0.866615i \(-0.333709\pi\)
0.498978 + 0.866615i \(0.333709\pi\)
\(432\) 9.66391 + 18.4013i 0.464955 + 0.885334i
\(433\) −9.78697 −0.470332 −0.235166 0.971955i \(-0.575563\pi\)
−0.235166 + 0.971955i \(0.575563\pi\)
\(434\) 18.7343 + 36.2361i 0.899275 + 1.73939i
\(435\) 11.4539 0.556865i 0.549172 0.0266996i
\(436\) 0.107444 + 0.629997i 0.00514565 + 0.0301714i
\(437\) 6.15835 + 22.9833i 0.294594 + 1.09944i
\(438\) 12.9035 + 22.2394i 0.616552 + 1.06264i
\(439\) 10.6989 + 18.5310i 0.510629 + 0.884435i 0.999924 + 0.0123167i \(0.00392064\pi\)
−0.489295 + 0.872118i \(0.662746\pi\)
\(440\) −1.25673 + 8.96226i −0.0599120 + 0.427259i
\(441\) −9.95663 + 21.9155i −0.474125 + 1.04360i
\(442\) 3.96835 3.61589i 0.188755 0.171990i
\(443\) 6.17801 23.0566i 0.293526 1.09545i −0.648855 0.760912i \(-0.724752\pi\)
0.942381 0.334542i \(-0.108581\pi\)
\(444\) −2.39142 + 0.528498i −0.113492 + 0.0250814i
\(445\) 1.55444 + 5.80124i 0.0736874 + 0.275005i
\(446\) 9.23327 14.4040i 0.437208 0.682049i
\(447\) 1.82841 + 5.70049i 0.0864806 + 0.269624i
\(448\) −7.52030 30.0826i −0.355301 1.42127i
\(449\) 17.2778i 0.815390i 0.913118 + 0.407695i \(0.133667\pi\)
−0.913118 + 0.407695i \(0.866333\pi\)
\(450\) −6.78130 + 13.2553i −0.319674 + 0.624861i
\(451\) −19.3476 19.3476i −0.911042 0.911042i
\(452\) 5.35379 2.46004i 0.251821 0.115710i
\(453\) 0.439752 + 0.682795i 0.0206613 + 0.0320805i
\(454\) 17.9220 3.92049i 0.841120 0.183998i
\(455\) 9.40918 + 5.43239i 0.441109 + 0.254674i
\(456\) 12.3588 10.2974i 0.578754 0.482221i
\(457\) −33.3114 + 19.2323i −1.55824 + 0.899651i −0.560815 + 0.827941i \(0.689512\pi\)
−0.997426 + 0.0717098i \(0.977154\pi\)
\(458\) −6.89709 + 6.28451i −0.322280 + 0.293656i
\(459\) −1.24772 8.50058i −0.0582383 0.396773i
\(460\) −11.2970 13.6177i −0.526727 0.634929i
\(461\) −0.653517 + 2.43896i −0.0304373 + 0.113594i −0.979473 0.201574i \(-0.935394\pi\)
0.949036 + 0.315168i \(0.102061\pi\)
\(462\) −17.5567 + 17.6320i −0.816810 + 0.820315i
\(463\) 24.3919 + 14.0827i 1.13359 + 0.654476i 0.944834 0.327549i \(-0.106223\pi\)
0.188752 + 0.982025i \(0.439556\pi\)
\(464\) −21.6287 + 1.64794i −1.00409 + 0.0765035i
\(465\) 3.33001 15.3803i 0.154425 0.713246i
\(466\) −8.91322 + 4.60820i −0.412897 + 0.213471i
\(467\) −2.16739 + 2.16739i −0.100295 + 0.100295i −0.755474 0.655179i \(-0.772593\pi\)
0.655179 + 0.755474i \(0.272593\pi\)
\(468\) 13.3212 + 3.50834i 0.615774 + 0.162173i
\(469\) −38.0106 38.0106i −1.75517 1.75517i
\(470\) 2.00608 6.30077i 0.0925334 0.290633i
\(471\) 3.43675 + 10.7149i 0.158357 + 0.493715i
\(472\) 2.13973 + 17.3821i 0.0984892 + 0.800076i
\(473\) 10.4837 18.1583i 0.482040 0.834918i
\(474\) 11.0423 19.2208i 0.507190 0.882839i
\(475\) 11.1311 + 2.98256i 0.510729 + 0.136849i
\(476\) −1.18877 + 12.7626i −0.0544873 + 0.584972i
\(477\) 12.6528 15.3856i 0.579333 0.704460i
\(478\) 1.09733 23.6128i 0.0501909 1.08002i
\(479\) −0.298969 0.517829i −0.0136602 0.0236602i 0.859114 0.511783i \(-0.171015\pi\)
−0.872775 + 0.488123i \(0.837682\pi\)
\(480\) −5.15369 + 10.7951i −0.235233 + 0.492727i
\(481\) −0.811604 + 1.40574i −0.0370060 + 0.0640962i
\(482\) 31.7039 + 20.3229i 1.44407 + 0.925681i
\(483\) −2.36235 48.5901i −0.107491 2.21093i
\(484\) 7.50869 3.45021i 0.341304 0.156828i
\(485\) −12.0910 + 12.0910i −0.549023 + 0.549023i
\(486\) 16.5730 14.5374i 0.751767 0.659429i
\(487\) 2.90101 0.131457 0.0657287 0.997838i \(-0.479063\pi\)
0.0657287 + 0.997838i \(0.479063\pi\)
\(488\) −8.60498 + 20.2896i −0.389529 + 0.918466i
\(489\) −19.5846 17.7686i −0.885647 0.803523i
\(490\) −13.5338 + 2.96056i −0.611394 + 0.133744i
\(491\) −2.83807 + 0.760458i −0.128080 + 0.0343190i −0.322290 0.946641i \(-0.604453\pi\)
0.194210 + 0.980960i \(0.437786\pi\)
\(492\) −16.6786 32.0913i −0.751929 1.44679i
\(493\) 8.66099 + 2.32070i 0.390071 + 0.104519i
\(494\) 0.494937 10.6502i 0.0222683 0.479176i
\(495\) 9.55364 0.931159i 0.429404 0.0418525i
\(496\) −5.49762 + 29.2550i −0.246850 + 1.31359i
\(497\) 36.8664 21.2848i 1.65368 0.954755i
\(498\) 6.81621 1.84205i 0.305442 0.0825442i
\(499\) −12.4151 + 3.32662i −0.555777 + 0.148920i −0.525765 0.850630i \(-0.676221\pi\)
−0.0300115 + 0.999550i \(0.509554\pi\)
\(500\) −20.4824 + 3.49322i −0.916001 + 0.156222i
\(501\) 10.3324 + 5.31394i 0.461620 + 0.237409i
\(502\) 23.9755 + 7.63345i 1.07008 + 0.340698i
\(503\) 2.78327i 0.124100i 0.998073 + 0.0620500i \(0.0197638\pi\)
−0.998073 + 0.0620500i \(0.980236\pi\)
\(504\) −29.1508 + 15.2297i −1.29848 + 0.678384i
\(505\) 4.96424i 0.220906i
\(506\) 8.14773 25.5908i 0.362211 1.13765i
\(507\) −11.2545 + 7.24841i −0.499829 + 0.321913i
\(508\) −32.6809 23.1578i −1.44998 1.02746i
\(509\) −32.5599 + 8.72439i −1.44319 + 0.386702i −0.893650 0.448765i \(-0.851864\pi\)
−0.549541 + 0.835467i \(0.685197\pi\)
\(510\) 3.48900 3.50397i 0.154496 0.155159i
\(511\) −35.2350 + 20.3429i −1.55871 + 0.899919i
\(512\) 9.18414 20.6797i 0.405885 0.913924i
\(513\) −13.6891 10.1849i −0.604390 0.449674i
\(514\) 25.5751 + 1.18853i 1.12807 + 0.0524237i
\(515\) −9.35275 2.50606i −0.412131 0.110430i
\(516\) 20.4459 18.7102i 0.900079 0.823671i
\(517\) 9.69474 2.59770i 0.426374 0.114247i
\(518\) −0.828186 3.78594i −0.0363884 0.166344i
\(519\) 3.02099 13.9531i 0.132607 0.612473i
\(520\) 2.97225 + 7.35001i 0.130342 + 0.322319i
\(521\) −12.7253 −0.557504 −0.278752 0.960363i \(-0.589921\pi\)
−0.278752 + 0.960363i \(0.589921\pi\)
\(522\) 7.07375 + 21.8928i 0.309610 + 0.958222i
\(523\) −7.32974 + 7.32974i −0.320507 + 0.320507i −0.848962 0.528454i \(-0.822772\pi\)
0.528454 + 0.848962i \(0.322772\pi\)
\(524\) −17.0555 6.31628i −0.745072 0.275928i
\(525\) −20.9520 10.7756i −0.914422 0.470284i
\(526\) 4.32359 6.74485i 0.188518 0.294090i
\(527\) 6.15236 10.6562i 0.268001 0.464191i
\(528\) −18.0162 + 2.25696i −0.784055 + 0.0982217i
\(529\) 14.7537 + 25.5542i 0.641467 + 1.11105i
\(530\) 11.4523 + 0.532213i 0.497458 + 0.0231179i
\(531\) 17.3917 6.52562i 0.754736 0.283188i
\(532\) 16.2526 + 19.5913i 0.704641 + 0.849391i
\(533\) −23.1535 6.20396i −1.00289 0.268723i
\(534\) −10.4224 + 6.04717i −0.451022 + 0.261687i
\(535\) 9.24076 16.0055i 0.399513 0.691976i
\(536\) −4.79255 38.9323i −0.207007 1.68162i
\(537\) −4.96588 + 5.47342i −0.214294 + 0.236195i
\(538\) −27.1931 8.65790i −1.17238 0.373269i
\(539\) −14.8692 14.8692i −0.640460 0.640460i
\(540\) 12.4119 + 2.63172i 0.534125 + 0.113251i
\(541\) 0.283076 0.283076i 0.0121704 0.0121704i −0.700995 0.713166i \(-0.747261\pi\)
0.713166 + 0.700995i \(0.247261\pi\)
\(542\) −0.123168 0.238233i −0.00529052 0.0102330i
\(543\) −24.4184 22.1541i −1.04789 0.950725i
\(544\) −6.41518 + 6.80675i −0.275049 + 0.291837i
\(545\) 0.337864 + 0.195066i 0.0144725 + 0.00835570i
\(546\) −5.59668 + 21.0674i −0.239516 + 0.901603i
\(547\) −0.253974 + 0.947844i −0.0108591 + 0.0405269i −0.971143 0.238499i \(-0.923345\pi\)
0.960284 + 0.279026i \(0.0900114\pi\)
\(548\) −20.1854 1.88017i −0.862278 0.0803170i
\(549\) 23.0597 + 3.83122i 0.984163 + 0.163513i
\(550\) −8.76042 9.61433i −0.373546 0.409957i
\(551\) 15.4211 8.90339i 0.656962 0.379297i
\(552\) 20.4622 29.0083i 0.870928 1.23467i
\(553\) 30.3773 + 17.5383i 1.29177 + 0.745806i
\(554\) 2.43957 + 11.1521i 0.103647 + 0.473809i
\(555\) −0.683771 + 1.32953i −0.0290244 + 0.0564353i
\(556\) −13.5548 5.01986i −0.574853 0.212890i
\(557\) −10.5939 10.5939i −0.448877 0.448877i 0.446104 0.894981i \(-0.352811\pi\)
−0.894981 + 0.446104i \(0.852811\pi\)
\(558\) 31.5321 1.60071i 1.33486 0.0677635i
\(559\) 18.3685i 0.776906i
\(560\) −17.0646 8.19171i −0.721110 0.346163i
\(561\) 7.33554 + 1.58822i 0.309707 + 0.0670549i
\(562\) 3.66710 + 2.35069i 0.154687 + 0.0991578i
\(563\) −10.8459 40.4774i −0.457099 1.70592i −0.681842 0.731500i \(-0.738821\pi\)
0.224742 0.974418i \(-0.427846\pi\)
\(564\) 13.2536 + 0.587483i 0.558076 + 0.0247375i
\(565\) 0.930895 3.47415i 0.0391630 0.146158i
\(566\) 7.83253 + 8.59599i 0.329226 + 0.361316i
\(567\) 22.9476 + 26.2742i 0.963709 + 1.10341i
\(568\) 30.7629 + 4.31371i 1.29078 + 0.180999i
\(569\) 18.6572 + 32.3152i 0.782151 + 1.35473i 0.930686 + 0.365818i \(0.119211\pi\)
−0.148535 + 0.988907i \(0.547456\pi\)
\(570\) −0.0210261 9.81994i −0.000880686 0.411312i
\(571\) −6.06741 22.6439i −0.253913 0.947616i −0.968692 0.248266i \(-0.920139\pi\)
0.714779 0.699350i \(-0.246527\pi\)
\(572\) −6.95760 + 9.81877i −0.290912 + 0.410543i
\(573\) 0.245250 + 0.380796i 0.0102455 + 0.0159080i
\(574\) 50.8373 26.2832i 2.12191 1.09704i
\(575\) 25.4300 1.06051
\(576\) −23.6059 4.33146i −0.983579 0.180478i
\(577\) 44.5543 1.85482 0.927410 0.374047i \(-0.122030\pi\)
0.927410 + 0.374047i \(0.122030\pi\)
\(578\) −17.9217 + 9.26565i −0.745445 + 0.385400i
\(579\) −0.546355 + 1.06234i −0.0227057 + 0.0441491i
\(580\) −7.65571 + 10.8040i −0.317886 + 0.448610i
\(581\) 2.89174 + 10.7921i 0.119970 + 0.447733i
\(582\) −29.7469 17.0896i −1.23305 0.708385i
\(583\) 8.70092 + 15.0704i 0.360355 + 0.624153i
\(584\) −29.4016 4.12282i −1.21665 0.170603i
\(585\) 6.84033 4.89121i 0.282813 0.202227i
\(586\) 20.4264 + 22.4175i 0.843808 + 0.926057i
\(587\) −4.30142 + 16.0531i −0.177539 + 0.662584i 0.818566 + 0.574412i \(0.194769\pi\)
−0.996105 + 0.0881720i \(0.971897\pi\)
\(588\) −12.8180 24.6631i −0.528604 1.01709i
\(589\) −6.32455 23.6035i −0.260599 0.972567i
\(590\) 9.00048 + 5.76950i 0.370544 + 0.237526i
\(591\) 8.32051 9.17090i 0.342260 0.377241i
\(592\) 1.22385 2.54946i 0.0502999 0.104782i
\(593\) 38.8079i 1.59365i −0.604211 0.796824i \(-0.706512\pi\)
0.604211 0.796824i \(-0.293488\pi\)
\(594\) 6.80407 + 18.0164i 0.279174 + 0.739223i
\(595\) 5.53282 + 5.53282i 0.226824 + 0.226824i
\(596\) −6.48240 2.40068i −0.265530 0.0983355i
\(597\) 7.19415 0.349765i 0.294437 0.0143149i
\(598\) −5.02788 22.9843i −0.205605 0.939896i
\(599\) −1.76012 1.01621i −0.0719165 0.0415210i 0.463611 0.886039i \(-0.346554\pi\)
−0.535527 + 0.844518i \(0.679887\pi\)
\(600\) −7.21180 15.6069i −0.294421 0.637149i
\(601\) −14.9323 + 8.62115i −0.609100 + 0.351664i −0.772613 0.634877i \(-0.781051\pi\)
0.163513 + 0.986541i \(0.447717\pi\)
\(602\) 29.5375 + 32.4166i 1.20386 + 1.32120i
\(603\) −38.9538 + 14.6160i −1.58632 + 0.595211i
\(604\) −0.933751 0.0869744i −0.0379938 0.00353894i
\(605\) 1.30558 4.87249i 0.0530794 0.198095i
\(606\) 9.61491 2.59838i 0.390579 0.105552i
\(607\) 10.3001 + 5.94674i 0.418066 + 0.241371i 0.694250 0.719734i \(-0.255736\pi\)
−0.276183 + 0.961105i \(0.589070\pi\)
\(608\) 0.549864 + 18.5670i 0.0222999 + 0.752992i
\(609\) −34.6668 + 11.1192i −1.40477 + 0.450574i
\(610\) 6.17865 + 11.9508i 0.250166 + 0.483874i
\(611\) 6.21739 6.21739i 0.251529 0.251529i
\(612\) 8.61283 + 4.92356i 0.348153 + 0.199023i
\(613\) −3.45525 3.45525i −0.139556 0.139556i 0.633877 0.773434i \(-0.281462\pi\)
−0.773434 + 0.633877i \(0.781462\pi\)
\(614\) −27.9096 8.88603i −1.12634 0.358611i
\(615\) −21.5778 4.67183i −0.870101 0.188386i
\(616\) −3.51035 28.5162i −0.141436 1.14895i
\(617\) −20.6596 + 35.7835i −0.831725 + 1.44059i 0.0649443 + 0.997889i \(0.479313\pi\)
−0.896669 + 0.442701i \(0.854020\pi\)
\(618\) −0.0415952 19.4264i −0.00167320 0.781446i
\(619\) −11.9291 3.19640i −0.479471 0.128474i 0.0109851 0.999940i \(-0.496503\pi\)
−0.490456 + 0.871466i \(0.663170\pi\)
\(620\) 11.6019 + 13.9852i 0.465944 + 0.561661i
\(621\) −34.9963 13.8912i −1.40435 0.557433i
\(622\) 0.394859 + 0.0183499i 0.0158324 + 0.000735764i
\(623\) −9.53365 16.5128i −0.381958 0.661570i
\(624\) −12.6800 + 9.60391i −0.507607 + 0.384464i
\(625\) 2.43160 4.21165i 0.0972639 0.168466i
\(626\) 7.20529 11.2403i 0.287981 0.449254i
\(627\) 12.5313 8.07072i 0.500451 0.322313i
\(628\) −12.1846 4.51241i −0.486218 0.180065i
\(629\) −0.826608 + 0.826608i −0.0329590 + 0.0329590i
\(630\) −4.20646 + 19.6316i −0.167589 + 0.782140i
\(631\) −21.4353 −0.853326 −0.426663 0.904411i \(-0.640311\pi\)
−0.426663 + 0.904411i \(0.640311\pi\)
\(632\) 9.59584 + 23.7293i 0.381702 + 0.943902i
\(633\) −14.1518 + 4.53912i −0.562483 + 0.180414i
\(634\) 9.25902 + 42.3263i 0.367723 + 1.68099i
\(635\) −23.6177 + 6.32833i −0.937238 + 0.251132i
\(636\) 4.96358 + 22.4599i 0.196819 + 0.890591i
\(637\) −17.7941 4.76792i −0.705028 0.188912i
\(638\) −20.0770 0.933018i −0.794856 0.0369385i
\(639\) −3.19620 32.7929i −0.126440 1.29727i
\(640\) −6.13623 12.3750i −0.242556 0.489164i
\(641\) −40.1623 + 23.1877i −1.58631 + 0.915859i −0.592407 + 0.805639i \(0.701822\pi\)
−0.993907 + 0.110220i \(0.964844\pi\)
\(642\) 35.8367 + 9.52022i 1.41436 + 0.375733i
\(643\) 18.4471 4.94288i 0.727482 0.194928i 0.123974 0.992285i \(-0.460436\pi\)
0.603508 + 0.797357i \(0.293769\pi\)
\(644\) 45.8330 + 32.4773i 1.80607 + 1.27979i
\(645\) −0.821564 16.8984i −0.0323491 0.665372i
\(646\) 2.32946 7.31646i 0.0916513 0.287862i
\(647\) 45.8797i 1.80372i 0.432033 + 0.901858i \(0.357797\pi\)
−0.432033 + 0.901858i \(0.642203\pi\)
\(648\) 1.39945 + 25.4173i 0.0549755 + 0.998488i
\(649\) 16.2273i 0.636978i
\(650\) −10.8577 3.45695i −0.425876 0.135593i
\(651\) 2.42611 + 49.9015i 0.0950867 + 1.95579i
\(652\) 30.1002 5.13351i 1.17881 0.201044i
\(653\) 36.5032 9.78101i 1.42848 0.382761i 0.539997 0.841667i \(-0.318425\pi\)
0.888485 + 0.458906i \(0.151759\pi\)
\(654\) −0.200965 + 0.756488i −0.00785836 + 0.0295810i
\(655\) −9.61502 + 5.55123i −0.375690 + 0.216905i
\(656\) 41.0432 + 7.71287i 1.60247 + 0.301137i
\(657\) 3.05476 + 31.3417i 0.119178 + 1.22276i
\(658\) −0.974531 + 20.9703i −0.0379912 + 0.817507i
\(659\) −29.9216 8.01748i −1.16558 0.312317i −0.376388 0.926462i \(-0.622834\pi\)
−0.789193 + 0.614145i \(0.789501\pi\)
\(660\) −5.96157 + 9.34408i −0.232054 + 0.363718i
\(661\) 37.0827 9.93628i 1.44235 0.386476i 0.548994 0.835827i \(-0.315011\pi\)
0.893356 + 0.449350i \(0.148344\pi\)
\(662\) −37.3724 + 8.17533i −1.45252 + 0.317743i
\(663\) 6.26105 2.00821i 0.243159 0.0779922i
\(664\) −3.18331 + 7.50589i −0.123536 + 0.291285i
\(665\) 15.5390 0.602577
\(666\) −2.93297 0.628448i −0.113650 0.0243519i
\(667\) 27.7858 27.7858i 1.07587 1.07587i
\(668\) −12.1909 + 5.60165i −0.471680 + 0.216734i
\(669\) 17.6170 11.3461i 0.681111 0.438667i
\(670\) −20.1592 12.9225i −0.778817 0.499238i
\(671\) −10.2103 + 17.6848i −0.394165 + 0.682713i
\(672\) 6.93403 37.3390i 0.267486 1.44038i
\(673\) −8.24767 14.2854i −0.317924 0.550661i 0.662131 0.749389i \(-0.269652\pi\)
−0.980055 + 0.198728i \(0.936319\pi\)
\(674\) 0.949666 20.4352i 0.0365798 0.787136i
\(675\) −14.3009 + 11.3145i −0.550441 + 0.435497i
\(676\) 1.43359 15.3910i 0.0551382 0.591960i
\(677\) −40.0270 10.7252i −1.53836 0.412203i −0.612627 0.790372i \(-0.709887\pi\)
−0.925737 + 0.378169i \(0.876554\pi\)
\(678\) 7.21609 0.0154508i 0.277132 0.000593386i
\(679\) 27.1431 47.0132i 1.04166 1.80420i
\(680\) 0.697604 + 5.66698i 0.0267519 + 0.217319i
\(681\) 21.9601 + 4.75459i 0.841512 + 0.182196i
\(682\) −8.36763 + 26.2814i −0.320413 + 1.00637i
\(683\) −6.62321 6.62321i −0.253430 0.253430i 0.568945 0.822375i \(-0.307352\pi\)
−0.822375 + 0.568945i \(0.807352\pi\)
\(684\) 19.0086 5.18068i 0.726811 0.198088i
\(685\) −8.75075 + 8.75075i −0.334349 + 0.334349i
\(686\) 4.98494 2.57725i 0.190326 0.0983997i
\(687\) −10.8819 + 3.49031i −0.415169 + 0.133164i
\(688\) 2.43126 + 31.9097i 0.0926910 + 1.21655i
\(689\) 13.2025 + 7.62248i 0.502976 + 0.290393i
\(690\) −5.65347 20.9198i −0.215224 0.796401i
\(691\) 6.11334 22.8153i 0.232562 0.867935i −0.746670 0.665194i \(-0.768349\pi\)
0.979233 0.202740i \(-0.0649847\pi\)
\(692\) 10.5253 + 12.6875i 0.400112 + 0.482305i
\(693\) −28.5320 + 10.7056i −1.08384 + 0.406673i
\(694\) 11.0715 10.0882i 0.420268 0.382941i
\(695\) −7.64154 + 4.41184i −0.289860 + 0.167351i
\(696\) −24.9326 9.17282i −0.945069 0.347695i
\(697\) −14.9501 8.63144i −0.566275 0.326939i
\(698\) −0.913183 + 0.199762i −0.0345645 + 0.00756110i
\(699\) −12.2746 + 0.596766i −0.464267 + 0.0225718i
\(700\) 24.7206 11.3590i 0.934351 0.429329i
\(701\) 5.24880 + 5.24880i 0.198245 + 0.198245i 0.799247 0.601003i \(-0.205232\pi\)
−0.601003 + 0.799247i \(0.705232\pi\)
\(702\) 13.0538 + 10.6884i 0.492685 + 0.403409i
\(703\) 2.32154i 0.0875586i
\(704\) 10.7871 17.9780i 0.406554 0.677572i
\(705\) 5.44168 5.99785i 0.204946 0.225892i
\(706\) −7.53869 + 11.7604i −0.283723 + 0.442610i
\(707\) 4.07907 + 15.2233i 0.153409 + 0.572531i
\(708\) −6.46352 + 20.4523i −0.242914 + 0.768644i
\(709\) −1.35034 + 5.03953i −0.0507130 + 0.189263i −0.986636 0.162942i \(-0.947902\pi\)
0.935923 + 0.352206i \(0.114568\pi\)
\(710\) 14.0167 12.7718i 0.526039 0.479318i
\(711\) 22.0838 15.7911i 0.828209 0.592214i
\(712\) 1.93214 13.7790i 0.0724102 0.516389i
\(713\) −26.9623 46.7001i −1.00975 1.74893i
\(714\) −7.82016 + 13.6121i −0.292662 + 0.509422i
\(715\) 1.90131 + 7.09577i 0.0711048 + 0.265367i
\(716\) −1.43469 8.41225i −0.0536168 0.314381i
\(717\) 13.2408 25.7455i 0.494488 0.961485i
\(718\) 20.4270 + 39.5101i 0.762329 + 1.47451i
\(719\) 37.6412 1.40378 0.701889 0.712286i \(-0.252340\pi\)
0.701889 + 0.712286i \(0.252340\pi\)
\(720\) −11.2356 + 9.40236i −0.418725 + 0.350405i
\(721\) 30.7403 1.14483
\(722\) 5.33726 + 10.3234i 0.198632 + 0.384197i
\(723\) 24.9734 + 38.7758i 0.928771 + 1.44209i
\(724\) 37.5293 6.40053i 1.39477 0.237874i
\(725\) −4.92561 18.3826i −0.182933 0.682714i
\(726\) 10.1206 0.0216698i 0.375610 0.000804242i
\(727\) 3.14610 + 5.44920i 0.116682 + 0.202100i 0.918451 0.395535i \(-0.129441\pi\)
−0.801769 + 0.597634i \(0.796107\pi\)
\(728\) −15.1541 20.0972i −0.561650 0.744853i
\(729\) 25.8611 7.75895i 0.957820 0.287369i
\(730\) −13.3965 + 12.2067i −0.495826 + 0.451788i
\(731\) 3.42382 12.7779i 0.126635 0.472607i
\(732\) −19.9127 + 18.2223i −0.735995 + 0.673517i
\(733\) 8.44405 + 31.5136i 0.311888 + 1.16398i 0.926852 + 0.375427i \(0.122504\pi\)
−0.614964 + 0.788555i \(0.710829\pi\)
\(734\) −2.00891 + 3.13392i −0.0741502 + 0.115675i
\(735\) −16.5832 3.59043i −0.611679 0.132435i
\(736\) 11.7766 + 39.2626i 0.434091 + 1.44724i
\(737\) 36.3458i 1.33882i
\(738\) −2.24572 44.2380i −0.0826659 1.62842i
\(739\) 0.850912 + 0.850912i 0.0313013 + 0.0313013i 0.722584 0.691283i \(-0.242954\pi\)
−0.691283 + 0.722584i \(0.742954\pi\)
\(740\) −0.720792 1.56866i −0.0264969 0.0576652i
\(741\) 5.97209 11.6122i 0.219390 0.426584i
\(742\) −35.5570 + 7.77821i −1.30534 + 0.285547i
\(743\) 25.4064 + 14.6684i 0.932070 + 0.538131i 0.887466 0.460874i \(-0.152464\pi\)
0.0446046 + 0.999005i \(0.485797\pi\)
\(744\) −21.0144 + 29.7912i −0.770425 + 1.09220i
\(745\) −3.65445 + 2.10990i −0.133889 + 0.0773007i
\(746\) 25.1436 22.9104i 0.920573 0.838811i
\(747\) 8.53065 + 1.41732i 0.312120 + 0.0518568i
\(748\) −6.67016 + 5.53346i −0.243885 + 0.202323i
\(749\) −15.1861 + 56.6753i −0.554888 + 2.07087i
\(750\) −24.5949 6.53377i −0.898078 0.238579i
\(751\) −17.8715 10.3181i −0.652141 0.376514i 0.137135 0.990552i \(-0.456211\pi\)
−0.789276 + 0.614038i \(0.789544\pi\)
\(752\) −9.97788 + 11.6237i −0.363856 + 0.423875i
\(753\) 22.8228 + 20.7065i 0.831710 + 0.754587i
\(754\) −15.6408 + 8.08640i −0.569604 + 0.294489i
\(755\) −0.404798 + 0.404798i −0.0147321 + 0.0147321i
\(756\) −40.2248 + 2.12835i −1.46296 + 0.0774073i
\(757\) −38.7488 38.7488i −1.40835 1.40835i −0.768502 0.639847i \(-0.778998\pi\)
−0.639847 0.768502i \(-0.721002\pi\)
\(758\) 5.21736 16.3869i 0.189503 0.595200i
\(759\) 22.1015 24.3604i 0.802235 0.884228i
\(760\) 8.93751 + 6.97828i 0.324198 + 0.253129i
\(761\) −6.22122 + 10.7755i −0.225519 + 0.390611i −0.956475 0.291814i \(-0.905741\pi\)
0.730956 + 0.682425i \(0.239075\pi\)
\(762\) −24.6189 42.4311i −0.891848 1.53712i
\(763\) −1.19638 0.320568i −0.0433117 0.0116053i
\(764\) −0.520754 0.0485057i −0.0188402 0.00175487i
\(765\) 5.67011 2.12751i 0.205003 0.0769202i
\(766\) −0.818643 + 17.6158i −0.0295788 + 0.636486i
\(767\) 7.10801 + 12.3114i 0.256655 + 0.444540i
\(768\) 20.7565 18.3622i 0.748984 0.662588i
\(769\) −9.70125 + 16.8031i −0.349836 + 0.605934i −0.986220 0.165438i \(-0.947096\pi\)
0.636384 + 0.771372i \(0.280429\pi\)
\(770\) −14.7658 9.46516i −0.532121 0.341101i
\(771\) 27.8851 + 14.3412i 1.00426 + 0.516486i
\(772\) −0.575936 1.25341i −0.0207284 0.0451113i
\(773\) −29.9097 + 29.9097i