Properties

Label 144.2.u.a.11.4
Level $144$
Weight $2$
Character 144.11
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 11.4
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.19060 - 0.763199i) q^{2} +(0.0841095 - 1.73001i) q^{3} +(0.835053 + 1.81733i) q^{4} +(-1.17929 - 0.315990i) q^{5} +(-1.42048 + 1.99555i) q^{6} +(1.93802 - 3.35676i) q^{7} +(0.392771 - 2.80102i) q^{8} +(-2.98585 - 0.291020i) q^{9} +O(q^{10})\) \(q+(-1.19060 - 0.763199i) q^{2} +(0.0841095 - 1.73001i) q^{3} +(0.835053 + 1.81733i) q^{4} +(-1.17929 - 0.315990i) q^{5} +(-1.42048 + 1.99555i) 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} +(-2.53144 + 0.678298i) q^{11} +(3.21423 - 1.29179i) q^{12} +(-2.21768 - 0.594225i) q^{13} +(-4.86928 + 2.51745i) q^{14} +(-0.645854 + 2.01360i) q^{15} +(-2.60537 + 3.03513i) q^{16} -1.65347i q^{17} +(3.33285 + 2.62529i) q^{18} +(2.32189 + 2.32189i) q^{19} +(-0.410512 - 2.40703i) q^{20} +(-5.64421 - 3.63513i) q^{21} +(3.53161 + 1.12441i) q^{22} +(6.27540 - 3.62310i) q^{23} +(-4.81276 - 0.915089i) q^{24} +(-3.03925 - 1.75471i) q^{25} +(2.18686 + 2.40002i) q^{26} +(-0.754605 + 5.14107i) q^{27} +(7.71869 + 0.718958i) q^{28} +(5.23808 - 1.40354i) q^{29} +(2.30573 - 1.90448i) q^{30} +(6.44476 - 3.72088i) q^{31} +(5.41837 - 1.62521i) q^{32} +(0.960542 + 4.43646i) q^{33} +(-1.26193 + 1.96862i) q^{34} +(-3.34619 + 3.34619i) q^{35} +(-1.96447 - 5.66929i) q^{36} +(0.499924 + 0.499924i) q^{37} +(-0.992377 - 4.53651i) q^{38} +(-1.21454 + 3.78662i) q^{39} +(-1.34829 + 3.17911i) q^{40} +(5.22021 + 9.04166i) q^{41} +(3.94566 + 8.63564i) q^{42} +(2.07069 + 7.72793i) q^{43} +(-3.34658 - 4.03405i) q^{44} +(3.42922 + 1.28670i) q^{45} +(-10.2366 - 0.475717i) q^{46} +(1.91487 - 3.31665i) q^{47} +(5.03167 + 4.76260i) q^{48} +(-4.01188 - 6.94877i) q^{49} +(2.27934 + 4.40872i) q^{50} +(-2.86051 - 0.139072i) q^{51} +(-0.771977 - 4.52646i) q^{52} +(-4.69522 + 4.69522i) q^{53} +(4.82209 - 5.54504i) q^{54} +3.19964 q^{55} +(-8.64115 - 6.74689i) q^{56} +(4.21219 - 3.82160i) q^{57} +(-7.30763 - 2.32665i) q^{58} +(1.60258 - 5.98090i) q^{59} +(-4.19870 + 0.507736i) q^{60} +(-2.01670 - 7.52642i) 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} +(2.24229 - 6.01513i) q^{66} +(3.58944 - 13.3960i) q^{67} +(3.00489 - 1.38073i) q^{68} +(-5.74017 - 11.1612i) q^{69} +(6.53779 - 1.43016i) q^{70} +10.9828i q^{71} +(-1.98791 + 8.24913i) q^{72} +10.4967i q^{73} +(-0.213668 - 0.976751i) q^{74} +(-3.29130 + 5.11034i) q^{75} +(-2.28074 + 6.15855i) q^{76} +(-2.62911 + 9.81199i) q^{77} +(4.33598 - 3.58141i) 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} +(0.746054 + 2.78431i) q^{83} +(1.89302 - 13.2929i) q^{84} +(-0.522479 + 1.94992i) q^{85} +(3.43259 - 10.7812i) q^{86} +(-1.98756 - 9.17996i) q^{87} +(0.905651 + 7.35704i) q^{88} +4.91926 q^{89} +(-3.10083 - 4.14912i) q^{90} +(-6.29259 + 6.29259i) q^{91} +(11.8247 + 8.37898i) q^{92} +(-5.89509 - 11.4624i) q^{93} +(-4.81110 + 2.48737i) q^{94} +(-2.00449 - 3.47188i) q^{95} +(-2.35589 - 9.51051i) q^{96} +(-7.00277 + 12.1291i) q^{97} +(-0.526763 + 11.3351i) q^{98} +(7.75590 - 1.28860i) 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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.19060 0.763199i −0.841881 0.539664i
\(3\) 0.0841095 1.73001i 0.0485606 0.998820i
\(4\) 0.835053 + 1.81733i 0.417527 + 0.908665i
\(5\) −1.17929 0.315990i −0.527394 0.141315i −0.0147097 0.999892i \(-0.504682\pi\)
−0.512685 + 0.858577i \(0.671349\pi\)
\(6\) −1.42048 + 1.99555i −0.579909 + 0.814681i
\(7\) 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
\(11\) −2.53144 + 0.678298i −0.763258 + 0.204514i −0.619391 0.785083i \(-0.712620\pi\)
−0.143867 + 0.989597i \(0.545954\pi\)
\(12\) 3.21423 1.29179i 0.927868 0.372909i
\(13\) −2.21768 0.594225i −0.615074 0.164808i −0.0621864 0.998065i \(-0.519807\pi\)
−0.552887 + 0.833256i \(0.686474\pi\)
\(14\) −4.86928 + 2.51745i −1.30137 + 0.672818i
\(15\) −0.645854 + 2.01360i −0.166759 + 0.519910i
\(16\) −2.60537 + 3.03513i −0.651343 + 0.758783i
\(17\) 1.65347i 0.401025i −0.979691 0.200512i \(-0.935739\pi\)
0.979691 0.200512i \(-0.0642607\pi\)
\(18\) 3.33285 + 2.62529i 0.785559 + 0.618786i
\(19\) 2.32189 + 2.32189i 0.532679 + 0.532679i 0.921369 0.388690i \(-0.127072\pi\)
−0.388690 + 0.921369i \(0.627072\pi\)
\(20\) −0.410512 2.40703i −0.0917933 0.538227i
\(21\) −5.64421 3.63513i −1.23167 0.793251i
\(22\) 3.53161 + 1.12441i 0.752941 + 0.239726i
\(23\) 6.27540 3.62310i 1.30851 0.755469i 0.326663 0.945141i \(-0.394076\pi\)
0.981848 + 0.189672i \(0.0607424\pi\)
\(24\) −4.81276 0.915089i −0.982400 0.186792i
\(25\) −3.03925 1.75471i −0.607850 0.350943i
\(26\) 2.18686 + 2.40002i 0.428878 + 0.470682i
\(27\) −0.754605 + 5.14107i −0.145224 + 0.989399i
\(28\) 7.71869 + 0.718958i 1.45869 + 0.135870i
\(29\) 5.23808 1.40354i 0.972686 0.260631i 0.262725 0.964871i \(-0.415379\pi\)
0.709962 + 0.704240i \(0.248712\pi\)
\(30\) 2.30573 1.90448i 0.420967 0.347709i
\(31\) 6.44476 3.72088i 1.15751 0.668291i 0.206806 0.978382i \(-0.433693\pi\)
0.950707 + 0.310091i \(0.100360\pi\)
\(32\) 5.41837 1.62521i 0.957841 0.287299i
\(33\) 0.960542 + 4.43646i 0.167209 + 0.772289i
\(34\) −1.26193 + 1.96862i −0.216418 + 0.337615i
\(35\) −3.34619 + 3.34619i −0.565610 + 0.565610i
\(36\) −1.96447 5.66929i −0.327411 0.944882i
\(37\) 0.499924 + 0.499924i 0.0821870 + 0.0821870i 0.747005 0.664818i \(-0.231491\pi\)
−0.664818 + 0.747005i \(0.731491\pi\)
\(38\) −0.992377 4.53651i −0.160985 0.735920i
\(39\) −1.21454 + 3.78662i −0.194482 + 0.606345i
\(40\) −1.34829 + 3.17911i −0.213183 + 0.502661i
\(41\) 5.22021 + 9.04166i 0.815259 + 1.41207i 0.909142 + 0.416487i \(0.136739\pi\)
−0.0938824 + 0.995583i \(0.529928\pi\)
\(42\) 3.94566 + 8.63564i 0.608828 + 1.33251i
\(43\) 2.07069 + 7.72793i 0.315778 + 1.17850i 0.923263 + 0.384168i \(0.125512\pi\)
−0.607485 + 0.794331i \(0.707822\pi\)
\(44\) −3.34658 4.03405i −0.504516 0.608156i
\(45\) 3.42922 + 1.28670i 0.511199 + 0.191809i
\(46\) −10.2366 0.475717i −1.50931 0.0701406i
\(47\) 1.91487 3.31665i 0.279312 0.483782i −0.691902 0.721991i \(-0.743227\pi\)
0.971214 + 0.238209i \(0.0765603\pi\)
\(48\) 5.03167 + 4.76260i 0.726259 + 0.687422i
\(49\) −4.01188 6.94877i −0.573125 0.992682i
\(50\) 2.27934 + 4.40872i 0.322347 + 0.623486i
\(51\) −2.86051 0.139072i −0.400552 0.0194740i
\(52\) −0.771977 4.52646i −0.107054 0.627708i
\(53\) −4.69522 + 4.69522i −0.644938 + 0.644938i −0.951765 0.306827i \(-0.900733\pi\)
0.306827 + 0.951765i \(0.400733\pi\)
\(54\) 4.82209 5.54504i 0.656204 0.754584i
\(55\) 3.19964 0.431439
\(56\) −8.64115 6.74689i −1.15472 0.901591i
\(57\) 4.21219 3.82160i 0.557918 0.506183i
\(58\) −7.30763 2.32665i −0.959539 0.305503i
\(59\) 1.60258 5.98090i 0.208638 0.778647i −0.779672 0.626188i \(-0.784614\pi\)
0.988310 0.152459i \(-0.0487192\pi\)
\(60\) −4.19870 + 0.507736i −0.542050 + 0.0655484i
\(61\) −2.01670 7.52642i −0.258212 0.963660i −0.966275 0.257511i \(-0.917098\pi\)
0.708064 0.706149i \(-0.249569\pi\)
\(62\) −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
\(66\) 2.24229 6.01513i 0.276006 0.740412i
\(67\) 3.58944 13.3960i 0.438520 1.63658i −0.293980 0.955812i \(-0.594980\pi\)
0.732500 0.680767i \(-0.238353\pi\)
\(68\) 3.00489 1.38073i 0.364397 0.167438i
\(69\) −5.74017 11.1612i −0.691036 1.34365i
\(70\) 6.53779 1.43016i 0.781415 0.170937i
\(71\) 10.9828i 1.30341i 0.758471 + 0.651706i \(0.225947\pi\)
−0.758471 + 0.651706i \(0.774053\pi\)
\(72\) −1.98791 + 8.24913i −0.234277 + 0.972170i
\(73\) 10.4967i 1.22855i 0.789092 + 0.614276i \(0.210552\pi\)
−0.789092 + 0.614276i \(0.789448\pi\)
\(74\) −0.213668 0.976751i −0.0248383 0.113545i
\(75\) −3.29130 + 5.11034i −0.380046 + 0.590091i
\(76\) −2.28074 + 6.15855i −0.261619 + 0.706434i
\(77\) −2.62911 + 9.81199i −0.299615 + 1.11818i
\(78\) 4.33598 3.58141i 0.490953 0.405515i
\(79\) −7.83718 4.52480i −0.881751 0.509079i −0.0105159 0.999945i \(-0.503347\pi\)
−0.871235 + 0.490865i \(0.836681\pi\)
\(80\) 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
\(83\) 0.746054 + 2.78431i 0.0818900 + 0.305618i 0.994707 0.102751i \(-0.0327645\pi\)
−0.912817 + 0.408369i \(0.866098\pi\)
\(84\) 1.89302 13.2929i 0.206545 1.45038i
\(85\) −0.522479 + 1.94992i −0.0566708 + 0.211498i
\(86\) 3.43259 10.7812i 0.370146 1.16257i
\(87\) −1.98756 9.17996i −0.213089 0.984195i
\(88\) 0.905651 + 7.35704i 0.0965427 + 0.784263i
\(89\) 4.91926 0.521441 0.260720 0.965414i \(-0.416040\pi\)
0.260720 + 0.965414i \(0.416040\pi\)
\(90\) −3.10083 4.14912i −0.326856 0.437356i
\(91\) −6.29259 + 6.29259i −0.659642 + 0.659642i
\(92\) 11.8247 + 8.37898i 1.23281 + 0.873569i
\(93\) −5.89509 11.4624i −0.611293 1.18860i
\(94\) −4.81110 + 2.48737i −0.496227 + 0.256553i
\(95\) −2.00449 3.47188i −0.205656 0.356207i
\(96\) −2.35589 9.51051i −0.240447 0.970662i
\(97\) −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
\(99\) 7.75590 1.28860i 0.779498 0.129509i
\(100\) 0.650954 6.98860i 0.0650954 0.698860i
\(101\) 1.05238 + 3.92753i 0.104716 + 0.390804i 0.998313 0.0580659i \(-0.0184933\pi\)
−0.893597 + 0.448870i \(0.851827\pi\)
\(102\) 3.29958 + 2.34872i 0.326707 + 0.232558i
\(103\) 3.96541 + 6.86830i 0.390724 + 0.676754i 0.992545 0.121877i \(-0.0388914\pi\)
−0.601821 + 0.798631i \(0.705558\pi\)
\(104\) −2.53548 + 5.97838i −0.248624 + 0.586228i
\(105\) 5.50749 + 6.07039i 0.537476 + 0.592409i
\(106\) 9.17352 2.00674i 0.891011 0.194911i
\(107\) −10.7040 10.7040i −1.03479 1.03479i −0.999372 0.0354212i \(-0.988723\pi\)
−0.0354212 0.999372i \(-0.511277\pi\)
\(108\) −9.97315 + 2.92170i −0.959667 + 0.281141i
\(109\) −0.225954 + 0.225954i −0.0216424 + 0.0216424i −0.717845 0.696203i \(-0.754871\pi\)
0.696203 + 0.717845i \(0.254871\pi\)
\(110\) −3.80949 2.44196i −0.363220 0.232832i
\(111\) 0.906921 0.822824i 0.0860811 0.0780990i
\(112\) 5.13893 + 14.6278i 0.485583 + 1.38219i
\(113\) 2.55128 1.47298i 0.240004 0.138567i −0.375174 0.926954i \(-0.622417\pi\)
0.615179 + 0.788388i \(0.289084\pi\)
\(114\) −7.93167 + 1.33526i −0.742869 + 0.125058i
\(115\) −8.54538 + 2.28973i −0.796860 + 0.213518i
\(116\) 6.92476 + 8.34728i 0.642948 + 0.775026i
\(117\) 6.44873 + 2.41966i 0.596185 + 0.223697i
\(118\) −6.47265 + 5.89777i −0.595856 + 0.542934i
\(119\) −5.55029 3.20446i −0.508794 0.293752i
\(120\) 5.38647 + 2.59994i 0.491716 + 0.237341i
\(121\) −3.57817 + 2.06586i −0.325289 + 0.187805i
\(122\) −3.34308 + 10.5001i −0.302668 + 0.950634i
\(123\) 16.0812 8.27051i 1.44999 0.745726i
\(124\) 12.1438 + 8.60512i 1.09054 + 0.772762i
\(125\) 7.34619 + 7.34619i 0.657063 + 0.657063i
\(126\) 15.2716 6.09968i 1.36050 0.543403i
\(127\) 20.0270i 1.77711i −0.458770 0.888555i \(-0.651710\pi\)
0.458770 0.888555i \(-0.348290\pi\)
\(128\) 7.47816 + 8.48982i 0.660983 + 0.750401i
\(129\) 13.5435 2.93232i 1.19244 0.258177i
\(130\) −1.82056 3.52134i −0.159673 0.308842i
\(131\) −8.78388 2.35363i −0.767451 0.205638i −0.146206 0.989254i \(-0.546706\pi\)
−0.621245 + 0.783616i \(0.713373\pi\)
\(132\) −7.26041 + 5.45030i −0.631938 + 0.474388i
\(133\) 12.2939 3.29415i 1.06602 0.285639i
\(134\) −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 \(-0.690786\pi\)
0.997130 + 0.0757020i \(0.0241198\pi\)
\(138\) −1.68399 + 17.6694i −0.143351 + 1.50412i
\(139\) 6.98099 + 1.87055i 0.592120 + 0.158658i 0.542422 0.840106i \(-0.317507\pi\)
0.0496980 + 0.998764i \(0.484174\pi\)
\(140\) −8.87538 3.28689i −0.750107 0.277793i
\(141\) −5.57676 3.59169i −0.469648 0.302475i
\(142\) 8.38203 13.0761i 0.703404 1.09732i
\(143\) 6.01699 0.503166
\(144\) 8.66254 8.30424i 0.721878 0.692020i
\(145\) −6.62071 −0.549820
\(146\) 8.01111 12.4974i 0.663004 1.03429i
\(147\) −12.3589 + 6.35612i −1.01934 + 0.524244i
\(148\) −0.491064 + 1.32599i −0.0403652 + 0.108996i
\(149\) −3.33856 0.894564i −0.273505 0.0732855i 0.119459 0.992839i \(-0.461884\pi\)
−0.392965 + 0.919554i \(0.628551\pi\)
\(150\) 7.81882 3.57245i 0.638404 0.291689i
\(151\) −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
\(155\) −8.77600 + 2.35152i −0.704906 + 0.188879i
\(156\) −7.89575 + 0.954807i −0.632166 + 0.0764458i
\(157\) 6.27529 + 1.68146i 0.500823 + 0.134195i 0.500382 0.865805i \(-0.333193\pi\)
0.000440823 1.00000i \(0.499860\pi\)
\(158\) 5.87762 + 11.3685i 0.467598 + 0.904433i
\(159\) 7.72785 + 8.51768i 0.612859 + 0.675496i
\(160\) −6.90337 + 0.204444i −0.545760 + 0.0161627i
\(161\) 28.0866i 2.21354i
\(162\) −9.18737 8.80865i −0.721828 0.692073i
\(163\) 10.7957 + 10.7957i 0.845583 + 0.845583i 0.989578 0.143996i \(-0.0459951\pi\)
−0.143996 + 0.989578i \(0.545995\pi\)
\(164\) −12.0725 + 17.0371i −0.942706 + 1.33037i
\(165\) 0.269120 5.53540i 0.0209510 0.430930i
\(166\) 1.23673 3.88439i 0.0959891 0.301487i
\(167\) −5.80942 + 3.35407i −0.449546 + 0.259546i −0.707639 0.706575i \(-0.750239\pi\)
0.258092 + 0.966120i \(0.416906\pi\)
\(168\) −12.3990 + 14.3818i −0.956601 + 1.10958i
\(169\) −6.69333 3.86440i −0.514872 0.297261i
\(170\) 2.11024 1.92281i 0.161848 0.147473i
\(171\) −6.25711 7.60855i −0.478493 0.581840i
\(172\) −12.3151 + 10.2164i −0.939015 + 0.778991i
\(173\) −7.96162 + 2.13331i −0.605310 + 0.162192i −0.548441 0.836189i \(-0.684779\pi\)
−0.0568693 + 0.998382i \(0.518112\pi\)
\(174\) −4.63975 + 12.4466i −0.351739 + 0.943571i
\(175\) −11.7803 + 6.80135i −0.890506 + 0.514134i
\(176\) 4.53662 9.45048i 0.341961 0.712357i
\(177\) −10.2122 3.27552i −0.767597 0.246203i
\(178\) −5.85687 3.75438i −0.438991 0.281403i
\(179\) −3.01712 + 3.01712i −0.225510 + 0.225510i −0.810814 0.585304i \(-0.800975\pi\)
0.585304 + 0.810814i \(0.300975\pi\)
\(180\) 0.525236 + 7.30649i 0.0391488 + 0.544594i
\(181\) 13.4602 + 13.4602i 1.00049 + 1.00049i 1.00000 0.000489717i \(0.000155882\pi\)
0.000489717 1.00000i \(0.499844\pi\)
\(182\) 12.2944 2.68945i 0.911325 0.199355i
\(183\) −13.1904 + 2.85586i −0.975062 + 0.211111i
\(184\) −7.68360 19.0006i −0.566442 1.40074i
\(185\) −0.431585 0.747526i −0.0317307 0.0549592i
\(186\) −1.72944 + 18.1463i −0.126809 + 1.33055i
\(187\) 1.12154 + 4.18565i 0.0820153 + 0.306085i
\(188\) 7.62645 + 0.710367i 0.556216 + 0.0518088i
\(189\) 15.7949 + 12.4965i 1.14891 + 0.908989i
\(190\) −0.263192 + 5.66344i −0.0190939 + 0.410869i
\(191\) 0.130752 0.226469i 0.00946088 0.0163867i −0.861256 0.508171i \(-0.830322\pi\)
0.870717 + 0.491784i \(0.163655\pi\)
\(192\) −4.45350 + 13.1212i −0.321403 + 0.946942i
\(193\) 0.344850 + 0.597298i 0.0248229 + 0.0429944i 0.878170 0.478349i \(-0.158764\pi\)
−0.853347 + 0.521343i \(0.825431\pi\)
\(194\) 17.5944 9.09645i 1.26321 0.653087i
\(195\) 2.62883 4.08174i 0.188255 0.292300i
\(196\) 9.27808 13.0935i 0.662720 0.935250i
\(197\) 5.05530 5.05530i 0.360175 0.360175i −0.503702 0.863877i \(-0.668029\pi\)
0.863877 + 0.503702i \(0.168029\pi\)
\(198\) −10.2176 4.38510i −0.726135 0.311636i
\(199\) −4.15845 −0.294785 −0.147392 0.989078i \(-0.547088\pi\)
−0.147392 + 0.989078i \(0.547088\pi\)
\(200\) −6.10872 + 7.82381i −0.431952 + 0.553227i
\(201\) −22.8732 7.33649i −1.61335 0.517476i
\(202\) 1.74453 5.47929i 0.122745 0.385522i
\(203\) 5.44018 20.3030i 0.381826 1.42499i
\(204\) −2.13594 5.31462i −0.149546 0.372098i
\(205\) −3.29906 12.3123i −0.230417 0.859926i
\(206\) 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
\(210\) −1.92430 11.4307i −0.132789 0.788794i
\(211\) −2.22080 + 8.28816i −0.152887 + 0.570580i 0.846391 + 0.532563i \(0.178771\pi\)
−0.999277 + 0.0380175i \(0.987896\pi\)
\(212\) −12.4535 4.61200i −0.855311 0.316754i
\(213\) 19.0002 + 0.923754i 1.30188 + 0.0632946i
\(214\) 4.57488 + 20.9134i 0.312733 + 1.42961i
\(215\) 9.76779i 0.666158i
\(216\) 14.1039 + 4.13293i 0.959646 + 0.281210i
\(217\) 28.8447i 1.95810i
\(218\) 0.441468 0.0965726i 0.0299000 0.00654072i
\(219\) 18.1594 + 0.882876i 1.22710 + 0.0596592i
\(220\) 2.67187 + 5.81480i 0.180137 + 0.392033i
\(221\) −0.982532 + 3.66686i −0.0660923 + 0.246660i
\(222\) −1.70776 + 0.287492i −0.114617 + 0.0192952i
\(223\) 10.4773 + 6.04905i 0.701610 + 0.405074i 0.807947 0.589256i \(-0.200579\pi\)
−0.106337 + 0.994330i \(0.533912\pi\)
\(224\) 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
\(227\) −3.35751 12.5304i −0.222846 0.831671i −0.983256 0.182229i \(-0.941669\pi\)
0.760411 0.649443i \(-0.224998\pi\)
\(228\) 10.4625 + 4.46369i 0.692896 + 0.295615i
\(229\) −1.70767 + 6.37310i −0.112846 + 0.421146i −0.999117 0.0420210i \(-0.986620\pi\)
0.886271 + 0.463167i \(0.153287\pi\)
\(230\) 11.9216 + 3.79568i 0.786089 + 0.250280i
\(231\) 16.7537 + 5.37367i 1.10231 + 0.353561i
\(232\) −1.87398 15.2232i −0.123033 0.999455i
\(233\) −7.09511 −0.464816 −0.232408 0.972618i \(-0.574660\pi\)
−0.232408 + 0.972618i \(0.574660\pi\)
\(234\) −5.83117 7.80251i −0.381196 0.510066i
\(235\) −3.30621 + 3.30621i −0.215673 + 0.215673i
\(236\) 12.2075 2.08196i 0.794641 0.135524i
\(237\) −8.48711 + 13.1778i −0.551297 + 0.855990i
\(238\) 4.16252 + 8.05120i 0.269816 + 0.521882i
\(239\) 8.35740 + 14.4754i 0.540595 + 0.936338i 0.998870 + 0.0475275i \(0.0151342\pi\)
−0.458275 + 0.888810i \(0.651532\pi\)
\(240\) −4.42886 7.20644i −0.285882 0.465174i
\(241\) −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
\(243\) 3.74929 15.1309i 0.240517 0.970645i
\(244\) 11.9939 9.94997i 0.767833 0.636982i
\(245\) 2.53542 + 9.46233i 0.161982 + 0.604526i
\(246\) −25.4583 2.42631i −1.62316 0.154696i
\(247\) −3.76949 6.52894i −0.239847 0.415427i
\(248\) −7.89097 19.5134i −0.501077 1.23910i
\(249\) 4.87963 1.05649i 0.309234 0.0669524i
\(250\) −3.13976 14.3530i −0.198576 0.907762i
\(251\) 12.5807 + 12.5807i 0.794085 + 0.794085i 0.982156 0.188070i \(-0.0602233\pi\)
−0.188070 + 0.982156i \(0.560223\pi\)
\(252\) −22.8376 4.39299i −1.43863 0.276733i
\(253\) −13.4283 + 13.4283i −0.844227 + 0.844227i
\(254\) −15.2846 + 23.8442i −0.959042 + 1.49612i
\(255\) 3.32943 + 1.06790i 0.208497 + 0.0668744i
\(256\) −2.42407 15.8153i −0.151504 0.988457i
\(257\) −15.6784 + 9.05193i −0.977992 + 0.564644i −0.901663 0.432439i \(-0.857653\pi\)
−0.0763288 + 0.997083i \(0.524320\pi\)
\(258\) −18.3629 6.84521i −1.14322 0.426164i
\(259\) 2.64699 0.709259i 0.164476 0.0440712i
\(260\) −0.519932 + 5.58195i −0.0322448 + 0.346178i
\(261\) −16.0486 + 2.66637i −0.993382 + 0.165044i
\(262\) 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 \(0.722550\pi\)
\(264\) 12.8039 0.947985i 0.788026 0.0583445i
\(265\) 7.02067 4.05338i 0.431276 0.248997i
\(266\) −17.1512 5.46070i −1.05161 0.334817i
\(267\) 0.413757 8.51036i 0.0253215 0.520826i
\(268\) 27.3423 4.66316i 1.67019 0.284848i
\(269\) −14.2691 14.2691i −0.870000 0.870000i 0.122472 0.992472i \(-0.460918\pi\)
−0.992472 + 0.122472i \(0.960918\pi\)
\(270\) −7.43882 + 5.01547i −0.452712 + 0.305232i
\(271\) 0.189638i 0.0115197i 0.999983 + 0.00575985i \(0.00183343\pi\)
−0.999983 + 0.00575985i \(0.998167\pi\)
\(272\) 5.01849 + 4.30790i 0.304291 + 0.261205i
\(273\) 10.3570 + 11.4155i 0.626831 + 0.690897i
\(274\) −12.7338 + 6.58348i −0.769280 + 0.397723i
\(275\) 8.88390 + 2.38043i 0.535720 + 0.143546i
\(276\) 15.4903 19.7520i 0.932404 1.18893i
\(277\) −7.79717 + 2.08925i −0.468487 + 0.125531i −0.485337 0.874327i \(-0.661303\pi\)
0.0168499 + 0.999858i \(0.494636\pi\)
\(278\) −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 \(-0.804049\pi\)
0.908298 + 0.418324i \(0.137382\pi\)
\(282\) 3.89851 + 8.53245i 0.232153 + 0.508100i
\(283\) 7.94293 + 2.12830i 0.472158 + 0.126514i 0.487049 0.873375i \(-0.338073\pi\)
−0.0148908 + 0.999889i \(0.504740\pi\)
\(284\) −19.9593 + 9.17118i −1.18437 + 0.544210i
\(285\) −6.17498 + 3.17577i −0.365774 + 0.188116i
\(286\) −7.16382 4.59216i −0.423606 0.271540i
\(287\) 40.4675 2.38872
\(288\) −16.6514 + 3.27578i −0.981193 + 0.193027i
\(289\) 14.2660 0.839179
\(290\) 7.88262 + 5.05293i 0.462883 + 0.296718i
\(291\) 20.3945 + 13.1350i 1.19555 + 0.769988i
\(292\) −19.0760 + 8.76534i −1.11634 + 0.512953i
\(293\) −20.7143 5.55039i −1.21014 0.324257i −0.403326 0.915056i \(-0.632146\pi\)
−0.806819 + 0.590799i \(0.798813\pi\)
\(294\) 19.5654 + 1.86469i 1.14108 + 0.108751i
\(295\) −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
\(299\) −16.0698 + 4.30588i −0.929338 + 0.249015i
\(300\) −12.0356 1.71396i −0.694874 0.0989557i
\(301\) 29.9538 + 8.02611i 1.72651 + 0.462617i
\(302\) 0.589051 0.304543i 0.0338961 0.0175245i
\(303\) 6.88317 1.49028i 0.395428 0.0856144i
\(304\) −13.0967 + 0.997860i −0.751145 + 0.0572312i
\(305\) 9.51309i 0.544718i
\(306\) 4.34083 5.51075i 0.248149 0.315029i
\(307\) 14.6450 + 14.6450i 0.835837 + 0.835837i 0.988308 0.152471i \(-0.0487231\pi\)
−0.152471 + 0.988308i \(0.548723\pi\)
\(308\) −20.0271 + 3.41557i −1.14115 + 0.194620i
\(309\) 12.2157 6.28251i 0.694929 0.357399i
\(310\) 12.2434 + 3.89812i 0.695377 + 0.221398i
\(311\) −0.242062 + 0.139755i −0.0137261 + 0.00792475i −0.506847 0.862036i \(-0.669189\pi\)
0.493121 + 0.869961i \(0.335856\pi\)
\(312\) 10.1294 + 4.88924i 0.573463 + 0.276799i
\(313\) 8.17606 + 4.72045i 0.462138 + 0.266816i 0.712943 0.701222i \(-0.247362\pi\)
−0.250805 + 0.968038i \(0.580695\pi\)
\(314\) −6.18807 6.79124i −0.349213 0.383252i
\(315\) 10.9650 9.01743i 0.617810 0.508074i
\(316\) 1.67859 18.0212i 0.0944278 1.01377i
\(317\) 29.5930 7.92943i 1.66211 0.445361i 0.699144 0.714981i \(-0.253565\pi\)
0.962967 + 0.269619i \(0.0868979\pi\)
\(318\) −2.70009 16.0390i −0.151413 0.899425i
\(319\) −12.3079 + 7.10595i −0.689108 + 0.397857i
\(320\) 8.37518 + 5.02524i 0.468187 + 0.280919i
\(321\) −19.4183 + 17.6177i −1.08382 + 0.983323i
\(322\) −21.4357 + 33.4399i −1.19457 + 1.86353i
\(323\) 3.83917 3.83917i 0.213617 0.213617i
\(324\) 4.21572 + 17.4994i 0.234207 + 0.972187i
\(325\) 5.69739 + 5.69739i 0.316034 + 0.316034i
\(326\) −4.61407 21.0926i −0.255550 1.16821i
\(327\) 0.371897 + 0.409906i 0.0205659 + 0.0226679i
\(328\) 27.3763 11.0706i 1.51160 0.611272i
\(329\) −7.42211 12.8555i −0.409194 0.708745i
\(330\) −4.54503 + 6.38505i −0.250195 + 0.351485i
\(331\) −7.00136 26.1294i −0.384829 1.43620i −0.838436 0.545001i \(-0.816529\pi\)
0.453606 0.891202i \(-0.350137\pi\)
\(332\) −4.43701 + 3.68087i −0.243513 + 0.202014i
\(333\) −1.34721 1.63819i −0.0738267 0.0897721i
\(334\) 9.47651 + 0.440393i 0.518532 + 0.0240972i
\(335\) −8.46598 + 14.6635i −0.462546 + 0.801153i
\(336\) 25.7384 7.66005i 1.40414 0.417890i
\(337\) −7.23274 12.5275i −0.393993 0.682415i 0.598980 0.800764i \(-0.295573\pi\)
−0.992972 + 0.118349i \(0.962240\pi\)
\(338\) 5.01977 + 9.70930i 0.273040 + 0.528116i
\(339\) −2.33368 4.53763i −0.126748 0.246450i
\(340\) −3.97994 + 0.678769i −0.215842 + 0.0368114i
\(341\) −13.7907 + 13.7907i −0.746806 + 0.746806i
\(342\) 1.64287 + 13.8342i 0.0888364 + 0.748065i
\(343\) −3.96811 −0.214258
\(344\) 22.4594 2.76475i 1.21093 0.149065i
\(345\) 3.24250 + 14.9762i 0.174570 + 0.806289i
\(346\) 11.1072 + 3.53639i 0.597129 + 0.190117i
\(347\) −2.74121 + 10.2303i −0.147156 + 0.549194i 0.852494 + 0.522737i \(0.175089\pi\)
−0.999650 + 0.0264566i \(0.991578\pi\)
\(348\) 15.0233 11.2778i 0.805333 0.604554i
\(349\) −0.171076 0.638465i −0.00915749 0.0341762i 0.961196 0.275867i \(-0.0889648\pi\)
−0.970353 + 0.241690i \(0.922298\pi\)
\(350\) 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 \(0.581998\pi\)
\(354\) 9.65878 + 11.6938i 0.513358 + 0.621518i
\(355\) 3.47044 12.9518i 0.184192 0.687413i
\(356\) 4.10785 + 8.93992i 0.217715 + 0.473815i
\(357\) −6.01057 + 9.33251i −0.318113 + 0.493929i
\(358\) 5.89485 1.28952i 0.311553 0.0681532i
\(359\) 31.4509i 1.65991i 0.557828 + 0.829956i \(0.311635\pi\)
−0.557828 + 0.829956i \(0.688365\pi\)
\(360\) 4.95096 9.09996i 0.260939 0.479610i
\(361\) 8.21762i 0.432506i
\(362\) −5.75289 26.2985i −0.302365 1.38222i
\(363\) 3.27299 + 6.36403i 0.171788 + 0.334025i
\(364\) −16.6903 6.18106i −0.874812 0.323975i
\(365\) 3.31686 12.3787i 0.173613 0.647931i
\(366\) 17.8841 + 6.66671i 0.934815 + 0.348475i
\(367\) −2.27957 1.31611i −0.118993 0.0687004i 0.439322 0.898329i \(-0.355219\pi\)
−0.558315 + 0.829629i \(0.688552\pi\)
\(368\) −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
\(371\) 6.66126 + 24.8602i 0.345835 + 1.29068i
\(372\) 15.9083 20.2851i 0.824808 1.05173i
\(373\) 6.22536 23.2334i 0.322337 1.20298i −0.594625 0.804003i \(-0.702699\pi\)
0.916962 0.398975i \(-0.130634\pi\)
\(374\) 1.85918 5.83940i 0.0961360 0.301948i
\(375\) 13.3268 12.0911i 0.688195 0.624380i
\(376\) −8.53790 6.66627i −0.440308 0.343786i
\(377\) −12.4504 −0.641228
\(378\) −9.26800 26.9330i −0.476695 1.38528i
\(379\) −8.59872 + 8.59872i −0.441687 + 0.441687i −0.892579 0.450892i \(-0.851106\pi\)
0.450892 + 0.892579i \(0.351106\pi\)
\(380\) 4.63569 6.54203i 0.237806 0.335599i
\(381\) −34.6469 1.68446i −1.77501 0.0862976i
\(382\) −0.328514 + 0.169844i −0.0168083 + 0.00868998i
\(383\) −6.23486 10.7991i −0.318586 0.551808i 0.661607 0.749851i \(-0.269875\pi\)
−0.980193 + 0.198043i \(0.936541\pi\)
\(384\) 15.3164 12.2232i 0.781614 0.623763i
\(385\) 6.20098 10.7404i 0.316031 0.547382i
\(386\) 0.0452792 0.974332i 0.00230465 0.0495922i
\(387\) −3.93380 23.6771i −0.199966 1.20357i
\(388\) −27.8903 2.59785i −1.41592 0.131886i
\(389\) 3.38346 + 12.6272i 0.171548 + 0.640227i 0.997114 + 0.0759206i \(0.0241896\pi\)
−0.825566 + 0.564306i \(0.809144\pi\)
\(390\) −6.24507 + 2.85340i −0.316231 + 0.144487i
\(391\) −5.99068 10.3762i −0.302962 0.524745i
\(392\) −21.0394 + 8.50808i −1.06265 + 0.429723i
\(393\) −4.81061 + 14.9982i −0.242663 + 0.756560i
\(394\) −9.87704 + 2.16063i −0.497598 + 0.108851i
\(395\) 7.81252 + 7.81252i 0.393090 + 0.393090i
\(396\) 8.81840 + 13.0190i 0.443141 + 0.654229i
\(397\) 1.89653 1.89653i 0.0951839 0.0951839i −0.657911 0.753095i \(-0.728560\pi\)
0.753095 + 0.657911i \(0.228560\pi\)
\(398\) 4.95105 + 3.17373i 0.248174 + 0.159085i
\(399\) −4.66486 21.5456i −0.233535 1.07863i
\(400\) 13.2442 4.65285i 0.662209 0.232643i
\(401\) 7.73867 4.46792i 0.386451 0.223118i −0.294170 0.955753i \(-0.595043\pi\)
0.680621 + 0.732635i \(0.261710\pi\)
\(402\) 21.6336 + 26.1916i 1.07899 + 1.30632i
\(403\) −16.5035 + 4.42209i −0.822096 + 0.220280i
\(404\) −6.25883 + 5.19222i −0.311388 + 0.258322i
\(405\) −9.86470 4.83985i −0.490181 0.240494i
\(406\) −21.9723 + 20.0208i −1.09047 + 0.993617i
\(407\) −1.60463 0.926431i −0.0795384 0.0459215i
\(408\) −1.51307 + 7.95773i −0.0749081 + 0.393966i
\(409\) −5.14089 + 2.96810i −0.254201 + 0.146763i −0.621686 0.783266i \(-0.713552\pi\)
0.367485 + 0.930029i \(0.380219\pi\)
\(410\) −5.46886 + 17.1768i −0.270088 + 0.848303i
\(411\) −14.7604 9.50636i −0.728075 0.468914i
\(412\) −9.17063 + 12.9419i −0.451805 + 0.637600i
\(413\) −16.9706 16.9706i −0.835069 0.835069i
\(414\) 30.4266 + 4.39949i 1.49539 + 0.216223i
\(415\) 3.51925i 0.172753i
\(416\) −12.9819 + 0.384462i −0.636492 + 0.0188498i
\(417\) 3.82323 11.9198i 0.187225 0.583717i
\(418\) 5.58925 + 10.8108i 0.273379 + 0.528773i
\(419\) 30.6701 + 8.21802i 1.49833 + 0.401476i 0.912540 0.408986i \(-0.134118\pi\)
0.585790 + 0.810463i \(0.300784\pi\)
\(420\) −6.43284 + 15.0780i −0.313890 + 0.735732i
\(421\) 17.0997 4.58184i 0.833387 0.223305i 0.183196 0.983076i \(-0.441356\pi\)
0.650191 + 0.759771i \(0.274689\pi\)
\(422\) 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
\(426\) −21.9167 15.6008i −1.06187 0.755861i
\(427\) −29.1728 7.81682i −1.41177 0.378283i
\(428\) 10.5143 28.3911i 0.508227 1.37233i
\(429\) 0.506086 10.4094i 0.0244340 0.502572i
\(430\) −7.45477 + 11.6295i −0.359501 + 0.560826i
\(431\) −20.7181 −0.997956 −0.498978 0.866615i \(-0.666291\pi\)
−0.498978 + 0.866615i \(0.666291\pi\)
\(432\) −13.6378 15.6847i −0.656149 0.754632i
\(433\) −9.78697 −0.470332 −0.235166 0.971955i \(-0.575563\pi\)
−0.235166 + 0.971955i \(0.575563\pi\)
\(434\) −22.0142 + 34.3424i −1.05672 + 1.64849i
\(435\) −0.556865 + 11.4539i −0.0266996 + 0.549172i
\(436\) −0.599316 0.221949i −0.0287020 0.0106294i
\(437\) 22.9833 + 6.15835i 1.09944 + 0.294594i
\(438\) −20.9468 14.9104i −1.00088 0.712448i
\(439\) 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
\(443\) 23.0566 6.17801i 1.09545 0.293526i 0.334542 0.942381i \(-0.391419\pi\)
0.760912 + 0.648855i \(0.224752\pi\)
\(444\) 2.25267 + 0.961072i 0.106907 + 0.0456105i
\(445\) −5.80124 1.55444i −0.275005 0.0736874i
\(446\) −7.85759 15.1982i −0.372068 0.719658i
\(447\) −1.82841 + 5.70049i −0.0864806 + 0.269624i
\(448\) −22.2922 + 21.5541i −1.05321 + 1.01833i
\(449\) 17.2778i 0.815390i −0.913118 0.407695i \(-0.866333\pi\)
0.913118 0.407695i \(-0.133667\pi\)
\(450\) −5.52273 13.8271i −0.260344 0.651816i
\(451\) −19.3476 19.3476i −0.911042 0.911042i
\(452\) 4.80735 + 3.40650i 0.226119 + 0.160228i
\(453\) 0.682795 + 0.439752i 0.0320805 + 0.0206613i
\(454\) −5.56574 + 17.4811i −0.261213 + 0.820430i
\(455\) 9.40918 5.43239i 0.441109 0.254674i
\(456\) −9.04996 13.2994i −0.423803 0.622804i
\(457\) 33.3114 + 19.2323i 1.55824 + 0.899651i 0.997426 + 0.0717098i \(0.0228455\pi\)
0.560815 + 0.827941i \(0.310488\pi\)
\(458\) 6.89709 6.28451i 0.322280 0.293656i
\(459\) 8.50058 + 1.24772i 0.396773 + 0.0582383i
\(460\) −11.2970 13.6177i −0.526727 0.634929i
\(461\) −2.43896 + 0.653517i −0.113594 + 0.0304373i −0.315168 0.949036i \(-0.602061\pi\)
0.201574 + 0.979473i \(0.435394\pi\)
\(462\) −15.8457 19.1843i −0.737210 0.892534i
\(463\) −24.3919 + 14.0827i −1.13359 + 0.654476i −0.944834 0.327549i \(-0.893777\pi\)
−0.188752 + 0.982025i \(0.560444\pi\)
\(464\) −9.38721 + 19.5550i −0.435790 + 0.907818i
\(465\) 3.33001 + 15.3803i 0.154425 + 0.713246i
\(466\) 8.44743 + 5.41498i 0.391320 + 0.250844i
\(467\) 2.16739 2.16739i 0.100295 0.100295i −0.655179 0.755474i \(-0.727407\pi\)
0.755474 + 0.655179i \(0.227407\pi\)
\(468\) 0.987717 + 13.7400i 0.0456572 + 0.635132i
\(469\) −38.0106 38.0106i −1.75517 1.75517i
\(470\) 6.45967 1.41307i 0.297962 0.0651802i
\(471\) 3.43675 10.7149i 0.158357 0.493715i
\(472\) −16.1232 6.83798i −0.742131 0.314744i
\(473\) −10.4837 18.1583i −0.482040 0.834918i
\(474\) 20.1620 9.21212i 0.926073 0.423126i
\(475\) −2.98256 11.1311i −0.136849 0.510729i
\(476\) 1.18877 12.7626i 0.0544873 0.584972i
\(477\) 15.3856 12.6528i 0.704460 0.579333i
\(478\) 1.09733 23.6128i 0.0501909 1.08002i
\(479\) 0.298969 0.517829i 0.0136602 0.0236602i −0.859114 0.511783i \(-0.828985\pi\)
0.872775 + 0.488123i \(0.162318\pi\)
\(480\) −0.226949 + 11.9601i −0.0103588 + 0.545901i
\(481\) −0.811604 1.40574i −0.0370060 0.0640962i
\(482\) 33.4521 17.2949i 1.52370 0.787763i
\(483\) −48.5901 2.36235i −2.21093 0.107491i
\(484\) −6.74231 4.77762i −0.306469 0.217164i
\(485\) 12.0910 12.0910i 0.549023 0.549023i
\(486\) −16.0118 + 15.1533i −0.726308 + 0.687369i
\(487\) 2.90101 0.131457 0.0657287 0.997838i \(-0.479063\pi\)
0.0657287 + 0.997838i \(0.479063\pi\)
\(488\) −21.8738 + 2.69266i −0.990180 + 0.121891i
\(489\) 19.5846 17.7686i 0.885647 0.803523i
\(490\) 4.20297 13.2009i 0.189871 0.596355i
\(491\) −0.760458 + 2.83807i −0.0343190 + 0.128080i −0.980960 0.194210i \(-0.937786\pi\)
0.946641 + 0.322290i \(0.104453\pi\)
\(492\) 28.4589 + 22.3185i 1.28303 + 1.00620i
\(493\) −2.32070 8.66099i −0.104519 0.390071i
\(494\) −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
\(498\) −6.61599 2.46627i −0.296470 0.110516i
\(499\) 3.32662 12.4151i 0.148920 0.555777i −0.850630 0.525765i \(-0.823779\pi\)
0.999550 0.0300115i \(-0.00955439\pi\)
\(500\) −7.21599 + 19.4849i −0.322709 + 0.871391i
\(501\) 5.31394 + 10.3324i 0.237409 + 0.461620i
\(502\) −5.37698 24.5801i −0.239986 1.09706i
\(503\) 2.78327i 0.124100i −0.998073 0.0620500i \(-0.980236\pi\)
0.998073 0.0620500i \(-0.0197638\pi\)
\(504\) 23.8377 + 22.6600i 1.06182 + 1.00935i
\(505\) 4.96424i 0.220906i
\(506\) 26.2361 5.73923i 1.16634 0.255140i
\(507\) −7.24841 + 11.2545i −0.321913 + 0.499829i
\(508\) 36.3957 16.7236i 1.61480 0.741991i
\(509\) −8.72439 + 32.5599i −0.386702 + 1.44319i 0.448765 + 0.893650i \(0.351864\pi\)
−0.835467 + 0.549541i \(0.814803\pi\)
\(510\) −3.14899 3.81245i −0.139440 0.168818i
\(511\) 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
\(515\) −2.50606 9.35275i −0.110430 0.412131i
\(516\) 16.6386 + 22.1644i 0.732473 + 0.975735i
\(517\) −2.59770 + 9.69474i −0.114247 + 0.426374i
\(518\) −3.69281 1.17574i −0.162253 0.0516590i
\(519\) 3.02099 + 13.9531i 0.132607 + 0.612473i
\(520\) 4.87917 6.24905i 0.213966 0.274039i
\(521\) 12.7253 0.557504 0.278752 0.960363i \(-0.410079\pi\)
0.278752 + 0.960363i \(0.410079\pi\)
\(522\) 21.1424 + 9.07368i 0.925377 + 0.397144i
\(523\) −7.32974 + 7.32974i −0.320507 + 0.320507i −0.848962 0.528454i \(-0.822772\pi\)
0.528454 + 0.848962i \(0.322772\pi\)
\(524\) −3.05768 17.9286i −0.133575 0.783215i
\(525\) 10.7756 + 20.9520i 0.470284 + 0.914422i
\(526\) 3.67942 + 7.11677i 0.160430 + 0.310306i
\(527\) −6.15236 10.6562i −0.268001 0.464191i
\(528\) −15.9678 8.64327i −0.694910 0.376150i
\(529\) 14.7537 25.5542i 0.641467 1.11105i
\(530\) −11.4523 0.532213i −0.497458 0.0231179i
\(531\) −6.52562 + 17.3917i −0.283188 + 0.754736i
\(532\) 16.2526 + 19.5913i 0.704641 + 0.849391i
\(533\) −6.20396 23.1535i −0.268723 1.00289i
\(534\) −6.98772 + 9.81665i −0.302388 + 0.424808i
\(535\) 9.24076 + 16.0055i 0.399513 + 0.691976i
\(536\) −36.1126 15.3157i −1.55983 0.661536i
\(537\) 4.96588 + 5.47342i 0.214294 + 0.236195i
\(538\) 6.09860 + 27.8789i 0.262929 + 1.20194i
\(539\) 14.8692 + 14.8692i 0.640460 + 0.640460i
\(540\) 12.6845 0.294116i 0.545852 0.0126568i
\(541\) 0.283076 0.283076i 0.0121704 0.0121704i −0.700995 0.713166i \(-0.747261\pi\)
0.713166 + 0.700995i \(0.247261\pi\)
\(542\) 0.144732 0.225783i 0.00621676 0.00969821i
\(543\) 24.4184 22.1541i 1.04789 0.950725i
\(544\) −2.68723 8.95909i −0.115214 0.384118i
\(545\) 0.337864 0.195066i 0.0144725 0.00835570i
\(546\) −3.61869 21.4957i −0.154866 0.919931i
\(547\) 0.947844 0.253974i 0.0405269 0.0108591i −0.238499 0.971143i \(-0.576655\pi\)
0.279026 + 0.960284i \(0.409989\pi\)
\(548\) 20.1854 + 1.88017i 0.862278 + 0.0803170i
\(549\) 3.83122 + 23.0597i 0.163513 + 0.984163i
\(550\) −8.76042 9.61433i −0.373546 0.409957i
\(551\) 15.4211 + 8.90339i 0.656962 + 0.379297i
\(552\) −33.5174 + 11.6946i −1.42660 + 0.497753i
\(553\) −30.3773 + 17.5383i −1.29177 + 0.745806i
\(554\) 10.8778 + 3.46334i 0.462154 + 0.147143i
\(555\) −1.32953 + 0.683771i −0.0564353 + 0.0290244i
\(556\) 2.43009 + 14.2488i 0.103059 + 0.604282i
\(557\) 10.5939 + 10.5939i 0.448877 + 0.448877i 0.894981 0.446104i \(-0.147189\pi\)
−0.446104 + 0.894981i \(0.647189\pi\)
\(558\) 31.2478 + 4.51822i 1.32282 + 0.191272i
\(559\) 18.3685i 0.776906i
\(560\) −1.43806 18.8742i −0.0607693 0.797581i
\(561\) 7.33554 1.58822i 0.309707 0.0670549i
\(562\) −3.86930 + 2.00046i −0.163217 + 0.0843841i
\(563\) −40.4774 10.8459i −1.70592 0.457099i −0.731500 0.681842i \(-0.761179\pi\)
−0.974418 + 0.224742i \(0.927846\pi\)
\(564\) 1.87040 13.1341i 0.0787579 0.553044i
\(565\) −3.47415 + 0.930895i −0.146158 + 0.0391630i
\(566\) −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 \(0.452544\pi\)
−0.930686 + 0.365818i \(0.880789\pi\)
\(570\) 9.77566 + 0.931673i 0.409458 + 0.0390235i
\(571\) 22.6439 + 6.06741i 0.947616 + 0.253913i 0.699350 0.714779i \(-0.253473\pi\)
0.248266 + 0.968692i \(0.420139\pi\)
\(572\) 5.02450 + 10.9348i 0.210085 + 0.457209i
\(573\) −0.380796 0.245250i −0.0159080 0.0102455i
\(574\) −48.1806 30.8848i −2.01102 1.28911i
\(575\) −25.4300 −1.06051
\(576\) 22.3252 + 8.80820i 0.930218 + 0.367008i
\(577\) 44.5543 1.85482 0.927410 0.374047i \(-0.122030\pi\)
0.927410 + 0.374047i \(0.122030\pi\)
\(578\) −16.9851 10.8878i −0.706489 0.452874i
\(579\) 1.06234 0.546355i 0.0441491 0.0227057i
\(580\) −5.52865 12.0320i −0.229565 0.499602i
\(581\) 10.7921 + 2.89174i 0.447733 + 0.119970i
\(582\) −14.2571 31.2036i −0.590974 1.29343i
\(583\) 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
\(587\) −16.0531 + 4.30142i −0.662584 + 0.177539i −0.574412 0.818566i \(-0.694769\pi\)
−0.0881720 + 0.996105i \(0.528103\pi\)
\(588\) −21.8715 17.1524i −0.901964 0.707354i
\(589\) 23.6035 + 6.32455i 0.972567 + 0.260599i
\(590\) 9.49677 4.90989i 0.390976 0.202137i
\(591\) −8.32051 9.17090i −0.342260 0.377241i
\(592\) −2.81983 + 0.214848i −0.115894 + 0.00883020i
\(593\) 38.8079i 1.59365i 0.604211 + 0.796824i \(0.293488\pi\)
−0.604211 + 0.796824i \(0.706512\pi\)
\(594\) −8.44566 + 17.3077i −0.346529 + 0.710145i
\(595\) 5.53282 + 5.53282i 0.226824 + 0.226824i
\(596\) −1.16216 6.81427i −0.0476038 0.279123i
\(597\) −0.349765 + 7.19415i −0.0143149 + 0.294437i
\(598\) 22.4189 + 7.13786i 0.916777 + 0.291889i
\(599\) −1.76012 + 1.01621i −0.0719165 + 0.0415210i −0.535527 0.844518i \(-0.679887\pi\)
0.463611 + 0.886039i \(0.346554\pi\)
\(600\) 13.0215 + 11.2262i 0.531599 + 0.458307i
\(601\) 14.9323 + 8.62115i 0.609100 + 0.351664i 0.772613 0.634877i \(-0.218949\pi\)
−0.163513 + 0.986541i \(0.552283\pi\)
\(602\) −29.5375 32.4166i −1.20386 1.32120i
\(603\) −14.6160 + 38.9538i −0.595211 + 1.58632i
\(604\) −0.933751 0.0869744i −0.0379938 0.00353894i
\(605\) 4.87249 1.30558i 0.198095 0.0530794i
\(606\) −9.33248 3.47891i −0.379106 0.141321i
\(607\) −10.3001 + 5.94674i −0.418066 + 0.241371i −0.694250 0.719734i \(-0.744264\pi\)
0.276183 + 0.961105i \(0.410930\pi\)
\(608\) 16.3544 + 8.80731i 0.663260 + 0.357183i
\(609\) −34.6668 11.1192i −1.40477 0.450574i
\(610\) 7.26039 11.3263i 0.293964 0.458588i
\(611\) −6.21739 + 6.21739i −0.251529 + 0.251529i
\(612\) −9.37399 + 3.24818i −0.378921 + 0.131300i
\(613\) −3.45525 3.45525i −0.139556 0.139556i 0.633877 0.773434i \(-0.281462\pi\)
−0.773434 + 0.633877i \(0.781462\pi\)
\(614\) −6.25929 28.6135i −0.252604 1.15475i
\(615\) −21.5778 + 4.67183i −0.870101 + 0.188386i
\(616\) 26.4510 + 11.2181i 1.06574 + 0.451989i
\(617\) 20.6596 + 35.7835i 0.831725 + 1.44059i 0.896669 + 0.442701i \(0.145980\pi\)
−0.0649443 + 0.997889i \(0.520687\pi\)
\(618\) −19.3389 1.84310i −0.777923 0.0741402i
\(619\) 3.19640 + 11.9291i 0.128474 + 0.479471i 0.999940 0.0109851i \(-0.00349673\pi\)
−0.871466 + 0.490456i \(0.836830\pi\)
\(620\) −11.6019 13.9852i −0.465944 0.561661i
\(621\) 13.8912 + 34.9963i 0.557433 + 1.40435i
\(622\) 0.394859 + 0.0183499i 0.0158324 + 0.000735764i
\(623\) 9.53365 16.5128i 0.381958 0.661570i
\(624\) −8.32857 13.5519i −0.333410 0.542508i
\(625\) 2.43160 + 4.21165i 0.0972639 + 0.168466i
\(626\) −6.13176 11.8601i −0.245075 0.474026i
\(627\) −8.07072 + 12.5313i −0.322313 + 0.500451i
\(628\) 2.18444 + 12.8084i 0.0871685 + 0.511110i
\(629\) 0.826608 0.826608i 0.0329590 0.0329590i
\(630\) −19.9371 + 2.36762i −0.794312 + 0.0943284i
\(631\) −21.4353 −0.853326 −0.426663 0.904411i \(-0.640311\pi\)
−0.426663 + 0.904411i \(0.640311\pi\)
\(632\) −15.7523 + 20.1749i −0.626592 + 0.802515i
\(633\) 14.1518 + 4.53912i 0.562483 + 0.180414i
\(634\) −41.2852 13.1446i −1.63964 0.522040i
\(635\) −6.32833 + 23.6177i −0.251132 + 0.937238i
\(636\) −9.02626 + 21.1568i −0.357914 + 0.838921i
\(637\) 4.76792 + 17.7941i 0.188912 + 0.705028i
\(638\) 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 \(-0.701822\pi\)
\(642\) 36.5652 6.15556i 1.44311 0.242941i
\(643\) −4.94288 + 18.4471i −0.194928 + 0.727482i 0.797357 + 0.603508i \(0.206231\pi\)
−0.992285 + 0.123974i \(0.960436\pi\)
\(644\) 51.0427 23.4538i 2.01136 0.924211i
\(645\) −16.8984 0.821564i −0.665372 0.0323491i
\(646\) −7.50097 + 1.64086i −0.295122 + 0.0645589i
\(647\) 45.8797i 1.80372i −0.432033 0.901858i \(-0.642203\pi\)
0.432033 0.901858i \(-0.357797\pi\)
\(648\) 8.33627 24.0522i 0.327479 0.944858i
\(649\) 16.2273i 0.636978i
\(650\) −2.43506 11.1316i −0.0955111 0.436616i
\(651\) −49.9015 2.42611i −1.95579 0.0950867i
\(652\) −10.6043 + 28.6343i −0.415298 + 1.12140i
\(653\) 9.78101 36.5032i 0.382761 1.42848i −0.458906 0.888485i \(-0.651759\pi\)
0.841667 0.539997i \(-0.181575\pi\)
\(654\) −0.129940 0.771866i −0.00508104 0.0301823i
\(655\) 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
\(659\) −8.01748 29.9216i −0.312317 1.16558i −0.926462 0.376388i \(-0.877166\pi\)
0.614145 0.789193i \(-0.289501\pi\)
\(660\) 10.2844 4.13327i 0.400319 0.160887i
\(661\) −9.93628 + 37.0827i −0.386476 + 1.44235i 0.449350 + 0.893356i \(0.351656\pi\)
−0.835827 + 0.548994i \(0.815011\pi\)
\(662\) −11.6062 + 36.4531i −0.451086 + 1.41679i
\(663\) 6.26105 + 2.00821i 0.243159 + 0.0779922i
\(664\) 8.09195 0.996117i 0.314028 0.0386568i
\(665\) −15.5390 −0.602577
\(666\) 0.353725 + 2.97862i 0.0137066 + 0.115419i
\(667\) 27.7858 27.7858i 1.07587 1.07587i
\(668\) −10.9466 7.75680i −0.423538 0.300120i
\(669\) 11.3461 17.6170i 0.438667 0.681111i
\(670\) 21.2708 10.9971i 0.821762 0.424856i
\(671\) 10.2103 + 17.6848i 0.394165 + 0.682713i
\(672\) −36.4902 10.5235i −1.40764 0.405951i
\(673\) −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
\(675\) 11.3145 14.3009i 0.435497 0.550441i
\(676\) 1.43359 15.3910i 0.0551382 0.591960i
\(677\) −10.7252 40.0270i −0.412203 1.53836i −0.790372 0.612627i \(-0.790113\pi\)
0.378169 0.925737i \(-0.376554\pi\)
\(678\) −0.684631 + 7.18356i −0.0262931 + 0.275883i
\(679\) 27.1431 + 47.0132i 1.04166 + 1.80420i
\(680\) 5.25655 + 2.22935i 0.201579 + 0.0854915i
\(681\) −21.9601 + 4.75459i −0.841512 + 0.182196i
\(682\) 26.9442 5.89413i 1.03175 0.225698i
\(683\) 6.62321 + 6.62321i 0.253430 + 0.253430i 0.822375 0.568945i \(-0.192648\pi\)
−0.568945 + 0.822375i \(0.692648\pi\)
\(684\) 8.60221 17.7248i 0.328914 0.677724i
\(685\) −8.75075 + 8.75075i −0.334349 + 0.334349i
\(686\) 4.72443 + 3.02846i 0.180380 + 0.115627i
\(687\) 10.8819 + 3.49031i 0.415169 + 0.133164i
\(688\) −28.8502 13.8493i −1.09991 0.528000i
\(689\) 13.2025 7.62248i 0.502976 0.290393i
\(690\) 7.56928 20.3053i 0.288157 0.773008i
\(691\) −22.8153 + 6.11334i −0.867935 + 0.232562i −0.665194 0.746670i \(-0.731651\pi\)
−0.202740 + 0.979233i \(0.564985\pi\)
\(692\) −10.5253 12.6875i −0.400112 0.482305i
\(693\) 10.7056 28.5320i 0.406673 1.08384i
\(694\) 11.0715 10.0882i 0.420268 0.382941i
\(695\) −7.64154 4.41184i −0.289860 0.167351i
\(696\) −26.4939 + 1.96158i −1.00425 + 0.0743534i
\(697\) 14.9501 8.63144i 0.566275 0.326939i
\(698\) −0.283593 + 0.890721i −0.0107341 + 0.0337143i
\(699\) −0.596766 + 12.2746i −0.0225718 + 0.464267i
\(700\) −22.1975 15.7292i −0.838985 0.594507i
\(701\) −5.24880 5.24880i −0.198245 0.198245i 0.601003 0.799247i \(-0.294768\pi\)
−0.799247 + 0.601003i \(0.794768\pi\)
\(702\) −13.9889 + 9.43170i −0.527975 + 0.355977i
\(703\) 2.32154i 0.0875586i
\(704\) 20.9630 + 0.352884i 0.790071 + 0.0132998i
\(705\) 5.44168 + 5.99785i 0.204946 + 0.225892i
\(706\) −6.41550 12.4089i −0.241450 0.467016i
\(707\) 15.2233 + 4.07907i 0.572531 + 0.153409i
\(708\) −2.57504 21.2942i −0.0967759 0.800285i
\(709\) 5.03953 1.35034i 0.189263 0.0507130i −0.162942 0.986636i \(-0.552098\pi\)
0.352206 + 0.935923i \(0.385432\pi\)
\(710\) −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
\(714\) 14.2787 6.52402i 0.534369 0.244155i
\(715\) −7.09577 1.90131i −0.265367 0.0711048i
\(716\) −8.00257 2.96365i −0.299070 0.110757i
\(717\) 25.7455 13.2408i 0.961485 0.494488i
\(718\) 24.0033 37.4454i 0.895794 1.39745i
\(719\) −37.6412 −1.40378 −0.701889 0.712286i \(-0.747660\pi\)
−0.701889 + 0.712286i \(0.747660\pi\)
\(720\) −12.8397 + 7.05583i −0.478507 + 0.262955i
\(721\) 30.7403 1.14483
\(722\) −6.27168 + 9.78389i −0.233408 + 0.364119i
\(723\) 38.7758 + 24.9734i 1.44209 + 0.928771i
\(724\) −13.2216 + 35.7016i −0.491379 + 1.32684i
\(725\) −18.3826 4.92561i −0.682714 0.182933i
\(726\) 0.960196 10.0750i 0.0356362 0.373917i
\(727\) 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
\(731\) 12.7779 3.42382i 0.472607 0.126635i
\(732\) −16.2047 21.5865i −0.598944 0.797860i
\(733\) −31.5136 8.44405i −1.16398 0.311888i −0.375427 0.926852i \(-0.622504\pi\)
−0.788555 + 0.614964i \(0.789171\pi\)
\(734\) 1.70960 + 3.30673i 0.0631025 + 0.122054i
\(735\) 16.5832 3.59043i 0.611679 0.132435i
\(736\) 28.1141 29.8301i 1.03630 1.09955i
\(737\) 36.3458i 1.33882i
\(738\) −6.33883 + 43.8390i −0.233335 + 1.61374i
\(739\) 0.850912 + 0.850912i 0.0313013 + 0.0313013i 0.722584 0.691283i \(-0.242954\pi\)
−0.691283 + 0.722584i \(0.742954\pi\)
\(740\) 0.998106 1.40856i 0.0366911 0.0517795i
\(741\) −11.6122 + 5.97209i −0.426584 + 0.219390i
\(742\) 11.0424 34.6824i 0.405378 1.27323i
\(743\) 25.4064 14.6684i 0.932070 0.538131i 0.0446046 0.999005i \(-0.485797\pi\)
0.887466 + 0.460874i \(0.152464\pi\)
\(744\) −34.4220 + 12.0102i −1.26197 + 0.440314i
\(745\) 3.65445 + 2.10990i 0.133889 + 0.0773007i
\(746\) −25.1436 + 22.9104i −0.920573 + 0.838811i
\(747\) −1.41732 8.53065i −0.0518568 0.312120i
\(748\) −6.67016 + 5.53346i −0.243885 + 0.202323i
\(749\) −56.6753 + 15.1861i −2.07087 + 0.554888i
\(750\) −25.0948 + 4.22459i −0.916334 + 0.154260i
\(751\) 17.8715 10.3181i 0.652141 0.376514i −0.137135 0.990552i \(-0.543789\pi\)
0.789276 + 0.614038i \(0.210456\pi\)
\(752\) 5.07752 + 14.4530i 0.185158 + 0.527046i
\(753\) 22.8228 20.7065i 0.831710 0.754587i
\(754\) 14.8234 + 9.50213i 0.539837 + 0.346047i
\(755\) 0.404798 0.404798i 0.0147321 0.0147321i
\(756\) −9.52077 + 39.1398i −0.346267 + 1.42350i
\(757\) −38.7488 38.7488i −1.40835 1.40835i −0.768502 0.639847i \(-0.778998\pi\)
−0.639847 0.768502i \(-0.721002\pi\)
\(758\) 16.8002 3.67509i 0.610210 0.133485i
\(759\) 22.1015 + 24.3604i 0.802235 + 0.884228i
\(760\) −10.5121 + 4.25097i −0.381315 + 0.154199i
\(761\) 6.22122 + 10.7755i 0.225519 + 0.390611i 0.956475 0.291814i \(-0.0942588\pi\)
−0.730956 + 0.682425i \(0.760925\pi\)
\(762\) 39.9650 + 28.4480i 1.44778 + 1.03056i
\(763\) 0.320568 + 1.19638i 0.0116053 + 0.0433117i
\(764\) 0.520754 + 0.0485057i 0.0188402 + 0.00175487i
\(765\) 2.12751 5.67011i 0.0769202 0.205003i
\(766\) −0.818643 + 17.6158i −0.0295788 + 0.636486i
\(767\) −7.10801 + 12.3114i −0.256655 + 0.444540i
\(768\) −27.5645 + 2.86344i −0.994648 + 0.103326i
\(769\) −9.70125 16.8031i −0.349836 0.605934i 0.636384 0.771372i \(-0.280429\pi\)
−0.986220 + 0.165438i \(0.947096\pi\)
\(770\) −15.5799 + 8.05494i −0.561462 + 0.290280i
\(771\) 14.3412 + 27.8851i 0.516486 + 1.00426i
\(772\) −0.797519 + 1.12548i −0.0287033 + 0.0405070i
\(773\) 29.9097 29.9097i 1.07578 1.07578i 0.0788954 <