Properties

Label 144.2.u.a.83.5
Level $144$
Weight $2$
Character 144.83
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 83.5
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.5

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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 0.858577 + 0.512685i \(0.171349\pi\)
−0.999892 + 0.0147097i \(0.995318\pi\)
\(6\) 2.11869 + 1.22928i 0.864953 + 0.501853i
\(7\) 1.93802 3.35676i 0.732504 1.26873i −0.223305 0.974749i \(-0.571685\pi\)
0.955810 0.293986i \(-0.0949820\pi\)
\(8\) −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 −0.989597 0.143867i \(-0.954046\pi\)
0.785083 0.619391i \(-0.212620\pi\)
\(12\) −1.86320 2.92036i −0.537860 0.843034i
\(13\) 0.594225 2.21768i 0.164808 0.615074i −0.833256 0.552887i \(-0.813526\pi\)
0.998065 0.0621864i \(-0.0198073\pi\)
\(14\) −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 \(-0.935739\pi\)
0.979691 0.200512i \(-0.0642607\pi\)
\(18\) −3.56196 2.30487i −0.839562 0.543264i
\(19\) 2.32189 2.32189i 0.532679 0.532679i −0.388690 0.921369i \(-0.627072\pi\)
0.921369 + 0.388690i \(0.127072\pi\)
\(20\) −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 0.326663 0.945141i \(-0.394076\pi\)
0.981848 + 0.189672i \(0.0607424\pi\)
\(24\) 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 0.964871 + 0.262725i \(0.0846211\pi\)
−0.704240 + 0.709962i \(0.748712\pi\)
\(30\) −2.11917 + 2.11011i −0.386905 + 0.385252i
\(31\) −6.44476 + 3.72088i −1.15751 + 0.668291i −0.950707 0.310091i \(-0.899640\pi\)
−0.206806 + 0.978382i \(0.566307\pi\)
\(32\) 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 −0.664818 0.747005i \(-0.731491\pi\)
0.747005 + 0.664818i \(0.231491\pi\)
\(38\) −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 −0.909142 0.416487i \(-0.863261\pi\)
0.0938824 0.995583i \(-0.470072\pi\)
\(42\) 8.23249 4.72955i 1.27030 0.729786i
\(43\) −7.72793 + 2.07069i −1.17850 + 0.315778i −0.794331 0.607485i \(-0.792178\pi\)
−0.384168 + 0.923263i \(0.625512\pi\)
\(44\) 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 −0.971214 0.238209i \(-0.923440\pi\)
0.691902 + 0.721991i \(0.256773\pi\)
\(48\) 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 0.951765 0.306827i \(-0.0992673\pi\)
−0.306827 + 0.951765i \(0.599267\pi\)
\(54\) 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 0.626188 0.779672i \(-0.284614\pi\)
0.152459 + 0.988310i \(0.451281\pi\)
\(60\) 4.03270 1.27445i 0.520619 0.164531i
\(61\) 7.52642 2.01670i 0.963660 0.258212i 0.257511 0.966275i \(-0.417098\pi\)
0.706149 + 0.708064i \(0.250431\pi\)
\(62\) 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 −0.680767 0.732500i \(-0.738353\pi\)
−0.955812 + 0.293980i \(0.905020\pi\)
\(68\) 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 \(0.225947\pi\)
−0.758471 + 0.651706i \(0.774053\pi\)
\(72\) −0.357602 8.47774i −0.0421438 0.999112i
\(73\) 10.4967i 1.22855i −0.789092 0.614276i \(-0.789448\pi\)
0.789092 0.614276i \(-0.210552\pi\)
\(74\) −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 0.871235 0.490865i \(-0.163319\pi\)
0.0105159 + 0.999945i \(0.496653\pi\)
\(80\) −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 −0.102751 0.994707i \(-0.532764\pi\)
0.408369 + 0.912817i \(0.366098\pi\)
\(84\) −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 0.253450 + 0.967348i \(0.418435\pi\)
−0.964473 + 0.264180i \(0.914899\pi\)
\(98\) 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 −0.0580659 0.998313i \(-0.518493\pi\)
0.448870 + 0.893597i \(0.351827\pi\)
\(102\) 2.03258 3.50319i 0.201255 0.346867i
\(103\) 3.96541 + 6.86830i 0.390724 + 0.676754i 0.992545 0.121877i \(-0.0388914\pi\)
−0.601821 + 0.798631i \(0.705558\pi\)
\(104\) −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 0.0354212 0.999372i \(-0.488723\pi\)
0.999372 0.0354212i \(-0.0112773\pi\)
\(108\) −4.71336 9.26198i −0.453543 0.891234i
\(109\) −0.225954 0.225954i −0.0216424 0.0216424i 0.696203 0.717845i \(-0.254871\pi\)
−0.717845 + 0.696203i \(0.754871\pi\)
\(110\) −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 −0.375174 0.926954i \(-0.622417\pi\)
0.615179 + 0.788388i \(0.289084\pi\)
\(114\) 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 \(0.348290\pi\)
−0.458770 + 0.888555i \(0.651710\pi\)
\(128\) 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 0.783616 + 0.621245i \(0.213373\pi\)
−0.989254 + 0.146206i \(0.953294\pi\)
\(132\) −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 −0.997130 0.0757020i \(-0.975880\pi\)
0.564125 + 0.825689i \(0.309214\pi\)
\(138\) 17.7495 + 0.0380045i 1.51093 + 0.00323516i
\(139\) −1.87055 + 6.98099i −0.158658 + 0.592120i 0.840106 + 0.542422i \(0.182493\pi\)
−0.998764 + 0.0496980i \(0.984174\pi\)
\(140\) −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 −0.992839 0.119459i \(-0.961884\pi\)
0.919554 + 0.392965i \(0.128551\pi\)
\(150\) 4.28220 + 7.45380i 0.349640 + 0.608600i
\(151\) −0.234448 + 0.406076i −0.0190791 + 0.0330460i −0.875407 0.483386i \(-0.839407\pi\)
0.856328 + 0.516432i \(0.172740\pi\)
\(152\) −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 0.865805 + 0.500382i \(0.166807\pi\)
−1.00000 0.000440823i \(0.999860\pi\)
\(158\) −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 −0.143996 0.989578i \(-0.545995\pi\)
0.989578 + 0.143996i \(0.0459951\pi\)
\(164\) 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 −0.707639 0.706575i \(-0.750239\pi\)
0.258092 + 0.966120i \(0.416906\pi\)
\(168\) 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 −0.998382 0.0568693i \(-0.981888\pi\)
0.836189 0.548441i \(-0.184779\pi\)
\(174\) −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 0.810814 0.585304i \(-0.199025\pi\)
−0.585304 + 0.810814i \(0.699025\pi\)
\(180\) −7.08379 + 1.86562i −0.527995 + 0.139055i
\(181\) 13.4602 13.4602i 1.00049 1.00049i 0.000489717 1.00000i \(-0.499844\pi\)
1.00000 0.000489717i \(-0.000155882\pi\)
\(182\) 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 −0.870717 0.491784i \(-0.836345\pi\)
0.861256 + 0.508171i \(0.169678\pi\)
\(192\) 13.4914 3.15965i 0.973655 0.228028i
\(193\) 0.344850 + 0.597298i 0.0248229 + 0.0429944i 0.878170 0.478349i \(-0.158764\pi\)
−0.853347 + 0.521343i \(0.825431\pi\)
\(194\) 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 0.503702 0.863877i \(-0.331971\pi\)
−0.863877 + 0.503702i \(0.831971\pi\)
\(198\) −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 0.532563 0.846391i \(-0.321229\pi\)
0.0380175 + 0.999277i \(0.487896\pi\)
\(212\) −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 0.106337 0.994330i \(-0.466088\pi\)
−0.807947 + 0.589256i \(0.799421\pi\)
\(224\) −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 −0.649443 0.760411i \(-0.724998\pi\)
−0.182229 + 0.983256i \(0.558331\pi\)
\(228\) −11.1069 2.45460i −0.735573 0.162560i
\(229\) 6.37310 + 1.70767i 0.421146 + 0.112846i 0.463167 0.886271i \(-0.346713\pi\)
−0.0420210 + 0.999117i \(0.513380\pi\)
\(230\) 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 −0.998870 0.0475275i \(-0.984866\pi\)
0.458275 0.888810i \(-0.348468\pi\)
\(240\) 6.74282 + 5.10705i 0.435247 + 0.329658i
\(241\) −13.3143 + 23.0610i −0.857647 + 1.48549i 0.0165212 + 0.999864i \(0.494741\pi\)
−0.874168 + 0.485624i \(0.838592\pi\)
\(242\) −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 −0.982156 0.188070i \(-0.939777\pi\)
0.188070 + 0.982156i \(0.439777\pi\)
\(252\) 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 −0.901663 0.432439i \(-0.857653\pi\)
−0.0763288 + 0.997083i \(0.524320\pi\)
\(258\) −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 0.341052 0.940044i \(-0.389217\pi\)
−0.643576 + 0.765382i \(0.722550\pi\)
\(264\) 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 −0.122472 0.992472i \(-0.539082\pi\)
0.992472 + 0.122472i \(0.0390821\pi\)
\(270\) −6.94160 + 5.68376i −0.422453 + 0.345903i
\(271\) 0.189638i 0.0115197i −0.999983 0.00575985i \(-0.998167\pi\)
0.999983 0.00575985i \(-0.00183343\pi\)
\(272\) 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 0.999858 0.0168499i \(-0.00536374\pi\)
−0.874327 + 0.485337i \(0.838697\pi\)
\(278\) 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 −0.908298 0.418324i \(-0.862618\pi\)
0.816428 + 0.577447i \(0.195951\pi\)
\(282\) −8.13411 + 4.67304i −0.484379 + 0.278275i
\(283\) −2.12830 + 7.94293i −0.126514 + 0.472158i −0.999889 0.0148908i \(-0.995260\pi\)
0.873375 + 0.487049i \(0.161927\pi\)
\(284\) −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 0.590799 + 0.806819i \(0.298813\pi\)
−0.915056 + 0.403326i \(0.867854\pi\)
\(294\) 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 −0.152471 0.988308i \(-0.548723\pi\)
0.988308 + 0.152471i \(0.0487231\pi\)
\(308\) −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 −0.506847 0.862036i \(-0.669189\pi\)
0.493121 + 0.869961i \(0.335856\pi\)
\(312\) 11.0835 + 1.91469i 0.627477 + 0.108398i
\(313\) −8.17606 4.72045i −0.462138 0.266816i 0.250805 0.968038i \(-0.419305\pi\)
−0.712943 + 0.701222i \(0.752638\pi\)
\(314\) 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 0.714981 + 0.699144i \(0.246435\pi\)
−0.269619 + 0.962967i \(0.586898\pi\)
\(318\) 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 0.545001 0.838436i \(-0.316529\pi\)
0.891202 + 0.453606i \(0.149863\pi\)
\(332\) 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 0.598980 0.800764i \(-0.295573\pi\)
−0.992972 + 0.118349i \(0.962240\pi\)
\(338\) −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 −0.0264566 0.999650i \(-0.508422\pi\)
−0.522737 + 0.852494i \(0.675089\pi\)
\(348\) 12.6820 13.8584i 0.679825 0.742889i
\(349\) 0.638465 0.171076i 0.0341762 0.00915749i −0.241690 0.970353i \(-0.577702\pi\)
0.275867 + 0.961196i \(0.411035\pi\)
\(350\) −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 0.710068 0.704133i \(-0.248664\pi\)
−0.254764 + 0.967003i \(0.581998\pi\)
\(354\) 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 \(0.311635\pi\)
−0.557828 + 0.829956i \(0.688365\pi\)
\(360\) 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 0.558315 0.829629i \(-0.311448\pi\)
−0.439322 + 0.898329i \(0.644781\pi\)
\(368\) 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 −0.398975 0.916962i \(-0.630634\pi\)
−0.804003 + 0.594625i \(0.797301\pi\)
\(374\) 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 0.450892 0.892579i \(-0.351106\pi\)
−0.892579 + 0.450892i \(0.851106\pi\)
\(380\) −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 0.980193 0.198043i \(-0.0634585\pi\)
−0.661607 + 0.749851i \(0.730125\pi\)
\(384\) −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 0.0759206 0.997114i \(-0.475810\pi\)
0.564306 + 0.825566i \(0.309144\pi\)
\(390\) 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 0.753095 0.657911i \(-0.228560\pi\)
−0.657911 + 0.753095i \(0.728560\pi\)
\(398\) 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 −0.294170 0.955753i \(-0.595043\pi\)
0.680621 + 0.732635i \(0.261710\pi\)
\(402\) −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 −0.367485 0.930029i \(-0.619781\pi\)
0.621686 + 0.783266i \(0.286448\pi\)
\(410\) −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 −0.408986 0.912540i \(-0.634118\pi\)
0.810463 0.585790i \(-0.199216\pi\)
\(420\) 3.53745 16.0067i 0.172610 0.781047i
\(421\) −4.58184 17.0997i −0.223305 0.833387i −0.983076 0.183196i \(-0.941356\pi\)
0.759771 0.650191i \(-0.225311\pi\)
\(422\) −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 −0.489295 0.872118i \(-0.662746\pi\)
0.999924 0.0123167i \(-0.00392064\pi\)
\(440\) −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 0.942381 + 0.334542i \(0.108581\pi\)
−0.648855 + 0.760912i \(0.724752\pi\)
\(444\) −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 \(-0.866333\pi\)
0.913118 0.407695i \(-0.133667\pi\)
\(450\) −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 −0.997426 0.0717098i \(-0.977154\pi\)
−0.560815 0.827941i \(-0.689512\pi\)
\(458\) −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 0.949036 0.315168i \(-0.102061\pi\)
−0.979473 + 0.201574i \(0.935394\pi\)
\(462\) −17.5567 17.6320i −0.816810 0.820315i
\(463\) 24.3919 14.0827i 1.13359 0.654476i 0.188752 0.982025i \(-0.439556\pi\)
0.944834 + 0.327549i \(0.106223\pi\)
\(464\) −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 0.655179 0.755474i \(-0.272593\pi\)
−0.755474 + 0.655179i \(0.772593\pi\)
\(468\) 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 −0.872775 0.488123i \(-0.837682\pi\)
0.859114 + 0.511783i \(0.171015\pi\)
\(480\) −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 0.194210 0.980960i \(-0.437786\pi\)
−0.322290 + 0.946641i \(0.604453\pi\)
\(492\) −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 −0.0300115 0.999550i \(-0.509554\pi\)
−0.525765 + 0.850630i \(0.676221\pi\)
\(500\) −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 \(-0.980236\pi\)
0.998073 0.0620500i \(-0.0197638\pi\)
\(504\) −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 −0.549541 0.835467i \(-0.685197\pi\)
−0.893650 + 0.448765i \(0.851864\pi\)
\(510\) 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 0.528454 0.848962i \(-0.322772\pi\)
−0.848962 + 0.528454i \(0.822772\pi\)
\(524\) −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 0.713166 0.700995i \(-0.247261\pi\)
−0.700995 + 0.713166i \(0.747261\pi\)
\(542\) −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 0.960284 0.279026i \(-0.0900114\pi\)
−0.971143 + 0.238499i \(0.923345\pi\)
\(548\) −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 −0.894981 0.446104i \(-0.852811\pi\)
0.446104 + 0.894981i \(0.352811\pi\)
\(558\) 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 0.224742 + 0.974418i \(0.427846\pi\)
−0.681842 + 0.731500i \(0.738821\pi\)
\(564\) 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 −0.148535 0.988907i \(-0.547456\pi\)
0.930686 0.365818i \(-0.119211\pi\)
\(570\) −0.0210261 + 9.81994i −0.000880686 + 0.411312i
\(571\) −6.06741 + 22.6439i −0.253913 + 0.947616i 0.714779 + 0.699350i \(0.246527\pi\)
−0.968692 + 0.248266i \(0.920139\pi\)
\(572\) −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 −0.996105 0.0881720i \(-0.971897\pi\)
0.818566 0.574412i \(-0.194769\pi\)
\(588\) −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 \(0.293488\pi\)
−0.604211 + 0.796824i \(0.706512\pi\)
\(594\) 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 −0.535527 0.844518i \(-0.679887\pi\)
0.463611 + 0.886039i \(0.346554\pi\)
\(600\) −7.21180 + 15.6069i −0.294421 + 0.637149i
\(601\) −14.9323 8.62115i −0.609100 0.351664i 0.163513 0.986541i \(-0.447717\pi\)
−0.772613 + 0.634877i \(0.781051\pi\)
\(602\) 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 −0.276183 0.961105i \(-0.589070\pi\)
0.694250 + 0.719734i \(0.255736\pi\)
\(608\) 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 −0.773434 0.633877i \(-0.781462\pi\)
0.633877 + 0.773434i \(0.281462\pi\)
\(614\) −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 −0.896669 0.442701i \(-0.854020\pi\)
0.0649443 0.997889i \(-0.479313\pi\)
\(618\) −0.0415952 + 19.4264i −0.00167320 + 0.781446i
\(619\) −11.9291 + 3.19640i −0.479471 + 0.128474i −0.490456 0.871466i \(-0.663170\pi\)
0.0109851 + 0.999940i \(0.496503\pi\)
\(620\) 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 −0.993907 0.110220i \(-0.964844\pi\)
−0.592407 0.805639i \(-0.701822\pi\)
\(642\) 35.8367 9.52022i 1.41436 0.375733i
\(643\) 18.4471 + 4.94288i 0.727482 + 0.194928i 0.603508 0.797357i \(-0.293769\pi\)
0.123974 + 0.992285i \(0.460436\pi\)
\(644\) 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 \(-0.642203\pi\)
0.432033 0.901858i \(-0.357797\pi\)
\(648\) 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 0.888485 0.458906i \(-0.151759\pi\)
0.539997 + 0.841667i \(0.318425\pi\)
\(654\) −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 −0.789193 0.614145i \(-0.789501\pi\)
−0.376388 + 0.926462i \(0.622834\pi\)
\(660\) −5.96157 9.34408i −0.232054 0.363718i
\(661\) 37.0827 + 9.93628i 1.44235 + 0.386476i 0.893356 0.449350i \(-0.148344\pi\)
0.548994 + 0.835827i \(0.315011\pi\)
\(662\) −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 −0.980055 0.198728i \(-0.936319\pi\)
0.662131 + 0.749389i \(0.269652\pi\)
\(674\) 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 −0.925737 0.378169i \(-0.876554\pi\)
−0.612627 + 0.790372i \(0.709887\pi\)
\(678\) 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 −0.822375 0.568945i \(-0.807352\pi\)
0.568945 + 0.822375i \(0.307352\pi\)
\(684\) 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 0.979233 + 0.202740i \(0.0649847\pi\)
−0.746670 + 0.665194i \(0.768349\pi\)
\(692\) 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 −0.601003 0.799247i \(-0.705232\pi\)
0.799247 + 0.601003i \(0.205232\pi\)
\(702\) 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 0.935923 0.352206i \(-0.114568\pi\)
−0.986636 + 0.162942i \(0.947902\pi\)
\(710\) 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 −0.801769 0.597634i \(-0.796107\pi\)
0.918451 + 0.395535i \(0.129441\pi\)
\(728\) −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 −0.614964 0.788555i \(-0.710829\pi\)
0.926852 0.375427i \(-0.122504\pi\)
\(734\) −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 −0.691283 0.722584i \(-0.742954\pi\)
0.722584 + 0.691283i \(0.242954\pi\)
\(740\) −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 0.0446046 0.999005i \(-0.485797\pi\)
0.887466 + 0.460874i \(0.152464\pi\)
\(744\) −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 −0.789276 0.614038i \(-0.789544\pi\)
0.137135 + 0.990552i \(0.456211\pi\)
\(752\) −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 −0.639847 + 0.768502i \(0.721002\pi\)
−0.768502 + 0.639847i \(0.778998\pi\)
\(758\) 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 0.730956 0.682425i \(-0.239075\pi\)
−0.956475 + 0.291814i \(0.905741\pi\)
\(762\) −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 0.636384 0.771372i \(-0.280429\pi\)
−0.986220 + 0.165438i \(0.947096\pi\)
\(770\) −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 −1.07578 1.07578i