Properties

Label 168.2.v.a.107.6
Level $168$
Weight $2$
Character 168.107
Analytic conductor $1.341$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.v (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 107.6
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.08135 - 0.911422i) q^{2} +(-0.316681 - 1.70285i) q^{3} +(0.338619 + 1.97113i) q^{4} +(1.86088 - 3.22314i) q^{5} +(-1.20958 + 2.13001i) q^{6} +(2.46429 + 0.962962i) q^{7} +(1.43036 - 2.44009i) q^{8} +(-2.79943 + 1.07852i) q^{9} +O(q^{10})\) \(q+(-1.08135 - 0.911422i) q^{2} +(-0.316681 - 1.70285i) q^{3} +(0.338619 + 1.97113i) q^{4} +(1.86088 - 3.22314i) q^{5} +(-1.20958 + 2.13001i) q^{6} +(2.46429 + 0.962962i) q^{7} +(1.43036 - 2.44009i) q^{8} +(-2.79943 + 1.07852i) q^{9} +(-4.94989 + 1.78928i) q^{10} +(-2.26958 + 1.31034i) q^{11} +(3.24931 - 1.20084i) q^{12} -3.57182i q^{13} +(-1.78708 - 3.28730i) q^{14} +(-6.07784 - 2.14810i) q^{15} +(-3.77067 + 1.33492i) q^{16} +(0.186192 - 0.107498i) q^{17} +(4.01014 + 1.38520i) q^{18} +(-1.14103 + 1.97631i) q^{19} +(6.98334 + 2.57661i) q^{20} +(0.859391 - 4.50127i) q^{21} +(3.64848 + 0.651612i) q^{22} +(-2.33586 + 4.04583i) q^{23} +(-4.60809 - 1.66297i) q^{24} +(-4.42574 - 7.66560i) q^{25} +(-3.25544 + 3.86238i) q^{26} +(2.72309 + 4.42547i) q^{27} +(-1.06366 + 5.18349i) q^{28} +2.57415 q^{29} +(4.61442 + 7.86231i) q^{30} +(4.26196 - 2.46064i) q^{31} +(5.29408 + 1.99316i) q^{32} +(2.95006 + 3.44980i) q^{33} +(-0.299314 - 0.0534570i) q^{34} +(7.68949 - 6.15077i) q^{35} +(-3.07384 - 5.15281i) q^{36} +(7.31104 + 4.22103i) q^{37} +(3.03510 - 1.09712i) q^{38} +(-6.08229 + 1.13113i) q^{39} +(-5.20302 - 9.15098i) q^{40} -0.909442i q^{41} +(-5.03186 + 4.08416i) q^{42} +3.73541 q^{43} +(-3.35137 - 4.02992i) q^{44} +(-1.73317 + 11.0299i) q^{45} +(6.21334 - 2.24599i) q^{46} +(-0.586728 + 1.01624i) q^{47} +(3.46728 + 5.99816i) q^{48} +(5.14541 + 4.74603i) q^{49} +(-2.20085 + 12.3229i) q^{50} +(-0.242017 - 0.283015i) q^{51} +(7.04051 - 1.20949i) q^{52} +(-1.06171 - 1.83894i) q^{53} +(1.08886 - 7.26735i) q^{54} +9.75355i q^{55} +(5.87454 - 4.63570i) q^{56} +(3.72672 + 1.31714i) q^{57} +(-2.78355 - 2.34614i) q^{58} +(-6.79199 + 3.92136i) q^{59} +(2.17610 - 12.7076i) q^{60} +(-0.301301 - 0.173956i) q^{61} +(-6.85134 - 1.22364i) q^{62} +(-7.93716 - 0.0379510i) q^{63} +(-3.90812 - 6.98044i) q^{64} +(-11.5125 - 6.64673i) q^{65} +(-0.0458036 - 6.41918i) q^{66} +(-4.98736 - 8.63836i) q^{67} +(0.274940 + 0.330607i) q^{68} +(7.62919 + 2.69640i) q^{69} +(-13.9210 - 0.357259i) q^{70} +10.0808 q^{71} +(-1.37250 + 8.37354i) q^{72} +(4.45173 + 7.71062i) q^{73} +(-4.05862 - 11.2278i) q^{74} +(-11.6519 + 9.96394i) q^{75} +(-4.28194 - 1.57989i) q^{76} +(-6.85470 + 1.04354i) q^{77} +(7.60800 + 4.32040i) q^{78} +(-9.70950 - 5.60578i) q^{79} +(-2.71413 + 14.6375i) q^{80} +(6.67358 - 6.03849i) q^{81} +(-0.828886 + 0.983422i) q^{82} +1.73937i q^{83} +(9.16358 + 0.169751i) q^{84} -0.800163i q^{85} +(-4.03927 - 3.40453i) q^{86} +(-0.815185 - 4.38341i) q^{87} +(-0.0489643 + 7.41226i) q^{88} +(15.4694 + 8.93127i) q^{89} +(11.9271 - 10.3475i) q^{90} +(3.43953 - 8.80199i) q^{91} +(-8.76581 - 3.23428i) q^{92} +(-5.53980 - 6.47826i) q^{93} +(1.56068 - 0.564153i) q^{94} +(4.24662 + 7.35536i) q^{95} +(1.71753 - 9.64625i) q^{96} -8.88553 q^{97} +(-1.23834 - 9.82174i) q^{98} +(4.94029 - 6.11600i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 2 q^{3} - 2 q^{4} - 8 q^{6} - 2 q^{9} + 6 q^{10} + 10 q^{12} - 10 q^{16} - 10 q^{18} - 4 q^{19} - 20 q^{22} - 8 q^{24} - 16 q^{25} - 8 q^{27} - 22 q^{28} - 12 q^{30} - 14 q^{33} - 56 q^{34} + 4 q^{36} + 14 q^{40} - 8 q^{42} - 16 q^{43} - 12 q^{46} + 64 q^{48} - 16 q^{49} - 34 q^{51} - 8 q^{52} + 32 q^{54} + 4 q^{57} - 18 q^{58} + 40 q^{60} + 4 q^{64} - 20 q^{66} - 36 q^{67} - 42 q^{70} + 22 q^{72} + 4 q^{73} + 104 q^{76} + 28 q^{78} - 10 q^{81} + 52 q^{82} + 4 q^{84} + 46 q^{88} + 140 q^{90} + 72 q^{91} - 46 q^{96} - 32 q^{97} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08135 0.911422i −0.764627 0.644473i
\(3\) −0.316681 1.70285i −0.182836 0.983143i
\(4\) 0.338619 + 1.97113i 0.169310 + 0.985563i
\(5\) 1.86088 3.22314i 0.832210 1.44143i −0.0640716 0.997945i \(-0.520409\pi\)
0.896282 0.443485i \(-0.146258\pi\)
\(6\) −1.20958 + 2.13001i −0.493808 + 0.869571i
\(7\) 2.46429 + 0.962962i 0.931412 + 0.363965i
\(8\) 1.43036 2.44009i 0.505710 0.862704i
\(9\) −2.79943 + 1.07852i −0.933142 + 0.359508i
\(10\) −4.94989 + 1.78928i −1.56529 + 0.565820i
\(11\) −2.26958 + 1.31034i −0.684304 + 0.395083i −0.801475 0.598029i \(-0.795951\pi\)
0.117171 + 0.993112i \(0.462618\pi\)
\(12\) 3.24931 1.20084i 0.937994 0.346652i
\(13\) 3.57182i 0.990645i −0.868709 0.495323i \(-0.835050\pi\)
0.868709 0.495323i \(-0.164950\pi\)
\(14\) −1.78708 3.28730i −0.477618 0.878568i
\(15\) −6.07784 2.14810i −1.56929 0.554637i
\(16\) −3.77067 + 1.33492i −0.942669 + 0.333730i
\(17\) 0.186192 0.107498i 0.0451582 0.0260721i −0.477251 0.878767i \(-0.658367\pi\)
0.522409 + 0.852695i \(0.325033\pi\)
\(18\) 4.01014 + 1.38520i 0.945199 + 0.326495i
\(19\) −1.14103 + 1.97631i −0.261769 + 0.453398i −0.966712 0.255866i \(-0.917639\pi\)
0.704943 + 0.709264i \(0.250973\pi\)
\(20\) 6.98334 + 2.57661i 1.56152 + 0.576148i
\(21\) 0.859391 4.50127i 0.187535 0.982258i
\(22\) 3.64848 + 0.651612i 0.777858 + 0.138924i
\(23\) −2.33586 + 4.04583i −0.487061 + 0.843615i −0.999889 0.0148767i \(-0.995264\pi\)
0.512828 + 0.858491i \(0.328598\pi\)
\(24\) −4.60809 1.66297i −0.940623 0.339452i
\(25\) −4.42574 7.66560i −0.885148 1.53312i
\(26\) −3.25544 + 3.86238i −0.638444 + 0.757474i
\(27\) 2.72309 + 4.42547i 0.524060 + 0.851682i
\(28\) −1.06366 + 5.18349i −0.201014 + 0.979588i
\(29\) 2.57415 0.478008 0.239004 0.971019i \(-0.423179\pi\)
0.239004 + 0.971019i \(0.423179\pi\)
\(30\) 4.61442 + 7.86231i 0.842474 + 1.43546i
\(31\) 4.26196 2.46064i 0.765471 0.441945i −0.0657857 0.997834i \(-0.520955\pi\)
0.831257 + 0.555889i \(0.187622\pi\)
\(32\) 5.29408 + 1.99316i 0.935870 + 0.352345i
\(33\) 2.95006 + 3.44980i 0.513539 + 0.600534i
\(34\) −0.299314 0.0534570i −0.0513319 0.00916779i
\(35\) 7.68949 6.15077i 1.29976 1.03967i
\(36\) −3.07384 5.15281i −0.512307 0.858802i
\(37\) 7.31104 + 4.22103i 1.20193 + 0.693933i 0.960983 0.276606i \(-0.0892098\pi\)
0.240944 + 0.970539i \(0.422543\pi\)
\(38\) 3.03510 1.09712i 0.492358 0.177977i
\(39\) −6.08229 + 1.13113i −0.973946 + 0.181125i
\(40\) −5.20302 9.15098i −0.822670 1.44690i
\(41\) 0.909442i 0.142031i −0.997475 0.0710155i \(-0.977376\pi\)
0.997475 0.0710155i \(-0.0226240\pi\)
\(42\) −5.03186 + 4.08416i −0.776433 + 0.630200i
\(43\) 3.73541 0.569644 0.284822 0.958580i \(-0.408065\pi\)
0.284822 + 0.958580i \(0.408065\pi\)
\(44\) −3.35137 4.02992i −0.505239 0.607533i
\(45\) −1.73317 + 11.0299i −0.258365 + 1.64425i
\(46\) 6.21334 2.24599i 0.916107 0.331153i
\(47\) −0.586728 + 1.01624i −0.0855831 + 0.148234i −0.905640 0.424048i \(-0.860609\pi\)
0.820056 + 0.572283i \(0.193942\pi\)
\(48\) 3.46728 + 5.99816i 0.500459 + 0.865761i
\(49\) 5.14541 + 4.74603i 0.735058 + 0.678004i
\(50\) −2.20085 + 12.3229i −0.311247 + 1.74272i
\(51\) −0.242017 0.283015i −0.0338891 0.0396301i
\(52\) 7.04051 1.20949i 0.976343 0.167726i
\(53\) −1.06171 1.83894i −0.145837 0.252598i 0.783848 0.620953i \(-0.213254\pi\)
−0.929685 + 0.368355i \(0.879921\pi\)
\(54\) 1.08886 7.26735i 0.148176 0.988961i
\(55\) 9.75355i 1.31517i
\(56\) 5.87454 4.63570i 0.785019 0.619472i
\(57\) 3.72672 + 1.31714i 0.493616 + 0.174459i
\(58\) −2.78355 2.34614i −0.365498 0.308063i
\(59\) −6.79199 + 3.92136i −0.884242 + 0.510517i −0.872055 0.489408i \(-0.837213\pi\)
−0.0121872 + 0.999926i \(0.503879\pi\)
\(60\) 2.17610 12.7076i 0.280934 1.64054i
\(61\) −0.301301 0.173956i −0.0385776 0.0222728i 0.480587 0.876947i \(-0.340424\pi\)
−0.519165 + 0.854674i \(0.673757\pi\)
\(62\) −6.85134 1.22364i −0.870121 0.155402i
\(63\) −7.93716 0.0379510i −0.999989 0.00478137i
\(64\) −3.90812 6.98044i −0.488515 0.872555i
\(65\) −11.5125 6.64673i −1.42795 0.824425i
\(66\) −0.0458036 6.41918i −0.00563803 0.790146i
\(67\) −4.98736 8.63836i −0.609303 1.05534i −0.991356 0.131203i \(-0.958116\pi\)
0.382053 0.924140i \(-0.375217\pi\)
\(68\) 0.274940 + 0.330607i 0.0333414 + 0.0400920i
\(69\) 7.62919 + 2.69640i 0.918446 + 0.324608i
\(70\) −13.9210 0.357259i −1.66387 0.0427006i
\(71\) 10.0808 1.19637 0.598183 0.801359i \(-0.295889\pi\)
0.598183 + 0.801359i \(0.295889\pi\)
\(72\) −1.37250 + 8.37354i −0.161750 + 0.986832i
\(73\) 4.45173 + 7.71062i 0.521036 + 0.902460i 0.999701 + 0.0244626i \(0.00778746\pi\)
−0.478665 + 0.877998i \(0.658879\pi\)
\(74\) −4.05862 11.2278i −0.471805 1.30521i
\(75\) −11.6519 + 9.96394i −1.34544 + 1.15054i
\(76\) −4.28194 1.57989i −0.491172 0.181226i
\(77\) −6.85470 + 1.04354i −0.781166 + 0.118922i
\(78\) 7.60800 + 4.32040i 0.861436 + 0.489188i
\(79\) −9.70950 5.60578i −1.09240 0.630700i −0.158189 0.987409i \(-0.550566\pi\)
−0.934216 + 0.356709i \(0.883899\pi\)
\(80\) −2.71413 + 14.6375i −0.303449 + 1.63652i
\(81\) 6.67358 6.03849i 0.741508 0.670944i
\(82\) −0.828886 + 0.983422i −0.0915351 + 0.108601i
\(83\) 1.73937i 0.190921i 0.995433 + 0.0954603i \(0.0304323\pi\)
−0.995433 + 0.0954603i \(0.969568\pi\)
\(84\) 9.16358 + 0.169751i 0.999828 + 0.0185214i
\(85\) 0.800163i 0.0867898i
\(86\) −4.03927 3.40453i −0.435566 0.367120i
\(87\) −0.815185 4.38341i −0.0873970 0.469950i
\(88\) −0.0489643 + 7.41226i −0.00521961 + 0.790149i
\(89\) 15.4694 + 8.93127i 1.63975 + 0.946712i 0.980917 + 0.194426i \(0.0622845\pi\)
0.658837 + 0.752286i \(0.271049\pi\)
\(90\) 11.9271 10.3475i 1.25722 1.09073i
\(91\) 3.43953 8.80199i 0.360560 0.922699i
\(92\) −8.76581 3.23428i −0.913899 0.337197i
\(93\) −5.53980 6.47826i −0.574451 0.671764i
\(94\) 1.56068 0.564153i 0.160972 0.0581880i
\(95\) 4.24662 + 7.35536i 0.435694 + 0.754644i
\(96\) 1.71753 9.64625i 0.175295 0.984516i
\(97\) −8.88553 −0.902189 −0.451094 0.892476i \(-0.648966\pi\)
−0.451094 + 0.892476i \(0.648966\pi\)
\(98\) −1.23834 9.82174i −0.125091 0.992145i
\(99\) 4.94029 6.11600i 0.496518 0.614681i
\(100\) 13.6112 11.3194i 1.36112 1.13194i
\(101\) −7.38721 12.7950i −0.735055 1.27315i −0.954699 0.297573i \(-0.903823\pi\)
0.219644 0.975580i \(-0.429510\pi\)
\(102\) 0.00375764 + 0.526617i 0.000372062 + 0.0521429i
\(103\) 6.50151 + 3.75365i 0.640613 + 0.369858i 0.784851 0.619685i \(-0.212740\pi\)
−0.144238 + 0.989543i \(0.546073\pi\)
\(104\) −8.71558 5.10900i −0.854633 0.500979i
\(105\) −12.9090 11.1463i −1.25979 1.08776i
\(106\) −0.527972 + 2.95620i −0.0512812 + 0.287131i
\(107\) 10.9396 + 6.31597i 1.05757 + 0.610588i 0.924759 0.380554i \(-0.124267\pi\)
0.132810 + 0.991141i \(0.457600\pi\)
\(108\) −7.80106 + 6.86611i −0.750658 + 0.660691i
\(109\) −11.2275 + 6.48219i −1.07540 + 0.620881i −0.929651 0.368441i \(-0.879892\pi\)
−0.145747 + 0.989322i \(0.546558\pi\)
\(110\) 8.88961 10.5470i 0.847591 1.00561i
\(111\) 4.87253 13.7864i 0.462480 1.30854i
\(112\) −10.5775 0.341386i −0.999480 0.0322579i
\(113\) 7.10498i 0.668380i 0.942506 + 0.334190i \(0.108463\pi\)
−0.942506 + 0.334190i \(0.891537\pi\)
\(114\) −2.82940 4.82090i −0.264998 0.451518i
\(115\) 8.69351 + 15.0576i 0.810674 + 1.40413i
\(116\) 0.871657 + 5.07398i 0.0809313 + 0.471107i
\(117\) 3.85229 + 9.99905i 0.356145 + 0.924413i
\(118\) 10.9185 + 1.95003i 1.00513 + 0.179514i
\(119\) 0.562347 0.0856100i 0.0515502 0.00784786i
\(120\) −13.9351 + 11.7579i −1.27209 + 1.07335i
\(121\) −2.06600 + 3.57842i −0.187819 + 0.325311i
\(122\) 0.167263 + 0.462719i 0.0151433 + 0.0418926i
\(123\) −1.54865 + 0.288003i −0.139637 + 0.0259684i
\(124\) 6.29342 + 7.56764i 0.565166 + 0.679594i
\(125\) −14.3343 −1.28210
\(126\) 8.54823 + 7.27514i 0.761537 + 0.648121i
\(127\) 2.53093i 0.224584i −0.993675 0.112292i \(-0.964181\pi\)
0.993675 0.112292i \(-0.0358192\pi\)
\(128\) −2.13610 + 11.1102i −0.188806 + 0.982014i
\(129\) −1.18293 6.36086i −0.104151 0.560042i
\(130\) 6.39099 + 17.6801i 0.560527 + 1.55065i
\(131\) −5.04824 2.91460i −0.441067 0.254650i 0.262983 0.964800i \(-0.415294\pi\)
−0.704050 + 0.710150i \(0.748627\pi\)
\(132\) −5.80105 + 6.98310i −0.504917 + 0.607801i
\(133\) −4.71493 + 3.77144i −0.408836 + 0.327025i
\(134\) −2.48013 + 13.8866i −0.214251 + 1.19962i
\(135\) 19.3312 0.541642i 1.66377 0.0466171i
\(136\) 0.00401694 0.608087i 0.000344449 0.0521430i
\(137\) −8.15158 + 4.70632i −0.696437 + 0.402088i −0.806019 0.591890i \(-0.798382\pi\)
0.109582 + 0.993978i \(0.465049\pi\)
\(138\) −5.79224 9.86915i −0.493068 0.840118i
\(139\) −7.53929 −0.639474 −0.319737 0.947506i \(-0.603595\pi\)
−0.319737 + 0.947506i \(0.603595\pi\)
\(140\) 14.7278 + 13.0742i 1.24472 + 1.10497i
\(141\) 1.91632 + 0.677288i 0.161383 + 0.0570379i
\(142\) −10.9008 9.18783i −0.914774 0.771026i
\(143\) 4.68031 + 8.10654i 0.391387 + 0.677903i
\(144\) 9.11598 7.80378i 0.759665 0.650315i
\(145\) 4.79018 8.29684i 0.397803 0.689015i
\(146\) 2.21377 12.3953i 0.183213 1.02584i
\(147\) 6.45234 10.2649i 0.532180 0.846631i
\(148\) −5.84452 + 15.8403i −0.480417 + 1.30206i
\(149\) −7.38721 + 12.7950i −0.605184 + 1.04821i 0.386838 + 0.922148i \(0.373567\pi\)
−0.992022 + 0.126062i \(0.959766\pi\)
\(150\) 21.6810 0.154704i 1.77025 0.0126315i
\(151\) 3.18729 1.84018i 0.259378 0.149752i −0.364673 0.931136i \(-0.618819\pi\)
0.624051 + 0.781384i \(0.285486\pi\)
\(152\) 3.19031 + 5.61106i 0.258769 + 0.455117i
\(153\) −0.405292 + 0.501745i −0.0327659 + 0.0405637i
\(154\) 8.36341 + 5.11910i 0.673943 + 0.412509i
\(155\) 18.3158i 1.47116i
\(156\) −4.28918 11.6059i −0.343409 0.929219i
\(157\) 18.5989 10.7381i 1.48436 0.856993i 0.484514 0.874784i \(-0.338997\pi\)
0.999842 + 0.0177905i \(0.00566318\pi\)
\(158\) 5.39010 + 14.9113i 0.428813 + 1.18628i
\(159\) −2.79522 + 2.39030i −0.221676 + 0.189563i
\(160\) 16.2759 13.3545i 1.28672 1.05577i
\(161\) −9.65222 + 7.72074i −0.760701 + 0.608480i
\(162\) −12.7201 + 0.447256i −0.999382 + 0.0351397i
\(163\) −0.756294 + 1.30994i −0.0592375 + 0.102602i −0.894123 0.447821i \(-0.852200\pi\)
0.834886 + 0.550423i \(0.185534\pi\)
\(164\) 1.79263 0.307955i 0.139981 0.0240472i
\(165\) 16.6089 3.08877i 1.29300 0.240460i
\(166\) 1.58530 1.88086i 0.123043 0.145983i
\(167\) 7.21687 0.558459 0.279229 0.960224i \(-0.409921\pi\)
0.279229 + 0.960224i \(0.409921\pi\)
\(168\) −9.75429 8.53545i −0.752560 0.658524i
\(169\) 0.242090 0.0186223
\(170\) −0.729286 + 0.865253i −0.0559337 + 0.0663619i
\(171\) 1.06272 6.76317i 0.0812680 0.517193i
\(172\) 1.26488 + 7.36296i 0.0964462 + 0.561420i
\(173\) 1.33696 2.31567i 0.101647 0.176057i −0.810716 0.585439i \(-0.800922\pi\)
0.912363 + 0.409382i \(0.134256\pi\)
\(174\) −3.11364 + 5.48296i −0.236044 + 0.415662i
\(175\) −3.52460 23.1521i −0.266435 1.75013i
\(176\) 6.80864 7.97059i 0.513221 0.600806i
\(177\) 8.82840 + 10.3240i 0.663583 + 0.775996i
\(178\) −8.58763 23.7569i −0.643670 1.78066i
\(179\) −7.29346 + 4.21088i −0.545139 + 0.314736i −0.747159 0.664645i \(-0.768583\pi\)
0.202020 + 0.979381i \(0.435249\pi\)
\(180\) −22.3283 + 0.318660i −1.66425 + 0.0237515i
\(181\) 6.12284i 0.455107i 0.973766 + 0.227553i \(0.0730726\pi\)
−0.973766 + 0.227553i \(0.926927\pi\)
\(182\) −11.7416 + 6.38314i −0.870349 + 0.473150i
\(183\) −0.200806 + 0.568160i −0.0148440 + 0.0419996i
\(184\) 6.53108 + 11.4867i 0.481478 + 0.846814i
\(185\) 27.2099 15.7096i 2.00051 1.15500i
\(186\) 0.0860129 + 12.0543i 0.00630677 + 0.883867i
\(187\) −0.281718 + 0.487951i −0.0206013 + 0.0356825i
\(188\) −2.20182 0.812396i −0.160584 0.0592500i
\(189\) 2.44892 + 13.5279i 0.178133 + 0.984006i
\(190\) 2.11177 11.8242i 0.153204 0.857815i
\(191\) 7.56478 13.1026i 0.547368 0.948069i −0.451086 0.892481i \(-0.648963\pi\)
0.998454 0.0555887i \(-0.0177036\pi\)
\(192\) −10.6491 + 8.86554i −0.768529 + 0.639815i
\(193\) −1.52962 2.64937i −0.110104 0.190706i 0.805708 0.592313i \(-0.201785\pi\)
−0.915812 + 0.401607i \(0.868452\pi\)
\(194\) 9.60833 + 8.09847i 0.689838 + 0.581436i
\(195\) −7.67263 + 21.7089i −0.549448 + 1.55461i
\(196\) −7.61268 + 11.7493i −0.543763 + 0.839239i
\(197\) −14.5736 −1.03833 −0.519163 0.854675i \(-0.673756\pi\)
−0.519163 + 0.854675i \(0.673756\pi\)
\(198\) −10.9164 + 2.11083i −0.775796 + 0.150010i
\(199\) −15.0386 + 8.68255i −1.06606 + 0.615490i −0.927102 0.374809i \(-0.877708\pi\)
−0.138957 + 0.990298i \(0.544375\pi\)
\(200\) −25.0352 0.165379i −1.77026 0.0116941i
\(201\) −13.1305 + 11.2283i −0.926151 + 0.791987i
\(202\) −3.67354 + 20.5687i −0.258469 + 1.44721i
\(203\) 6.34345 + 2.47881i 0.445223 + 0.173978i
\(204\) 0.475907 0.572880i 0.0333202 0.0401096i
\(205\) −2.93126 1.69236i −0.204728 0.118200i
\(206\) −3.60922 9.98462i −0.251467 0.695661i
\(207\) 2.17555 13.8453i 0.151211 0.962314i
\(208\) 4.76810 + 13.4682i 0.330608 + 0.933850i
\(209\) 5.98054i 0.413683i
\(210\) 3.80014 + 23.8185i 0.262235 + 1.64363i
\(211\) −21.2686 −1.46419 −0.732097 0.681201i \(-0.761458\pi\)
−0.732097 + 0.681201i \(0.761458\pi\)
\(212\) 3.26527 2.71547i 0.224259 0.186499i
\(213\) −3.19239 17.1661i −0.218739 1.17620i
\(214\) −6.07296 16.8003i −0.415139 1.14845i
\(215\) 6.95114 12.0397i 0.474064 0.821103i
\(216\) 14.6936 0.314577i 0.999771 0.0214043i
\(217\) 12.8722 1.95963i 0.873822 0.133028i
\(218\) 18.0488 + 3.22349i 1.22242 + 0.218322i
\(219\) 11.7203 10.0225i 0.791984 0.677255i
\(220\) −19.2255 + 3.30274i −1.29618 + 0.222671i
\(221\) −0.383964 0.665045i −0.0258282 0.0447357i
\(222\) −17.8341 + 10.4669i −1.19695 + 0.702491i
\(223\) 6.68788i 0.447854i −0.974606 0.223927i \(-0.928112\pi\)
0.974606 0.223927i \(-0.0718877\pi\)
\(224\) 11.1268 + 10.0097i 0.743440 + 0.668803i
\(225\) 20.6571 + 16.6860i 1.37714 + 1.11240i
\(226\) 6.47563 7.68294i 0.430753 0.511062i
\(227\) −20.7637 + 11.9879i −1.37813 + 0.795666i −0.991935 0.126749i \(-0.959546\pi\)
−0.386199 + 0.922415i \(0.626212\pi\)
\(228\) −1.33431 + 7.79184i −0.0883668 + 0.516027i
\(229\) −14.3077 8.26054i −0.945478 0.545872i −0.0538045 0.998551i \(-0.517135\pi\)
−0.891673 + 0.452680i \(0.850468\pi\)
\(230\) 4.32314 24.2060i 0.285059 1.59609i
\(231\) 3.94775 + 11.3421i 0.259743 + 0.746255i
\(232\) 3.68197 6.28117i 0.241733 0.412379i
\(233\) −13.4061 7.74002i −0.878264 0.507066i −0.00817827 0.999967i \(-0.502603\pi\)
−0.870086 + 0.492901i \(0.835937\pi\)
\(234\) 4.94770 14.3235i 0.323441 0.936357i
\(235\) 2.18366 + 3.78221i 0.142446 + 0.246724i
\(236\) −10.0294 12.0600i −0.652858 0.785041i
\(237\) −6.47102 + 18.3091i −0.420338 + 1.18930i
\(238\) −0.686118 0.419961i −0.0444744 0.0272220i
\(239\) −20.5460 −1.32901 −0.664505 0.747284i \(-0.731358\pi\)
−0.664505 + 0.747284i \(0.731358\pi\)
\(240\) 25.7851 0.0136545i 1.66442 0.000881392i
\(241\) −6.16667 10.6810i −0.397230 0.688023i 0.596153 0.802871i \(-0.296695\pi\)
−0.993383 + 0.114848i \(0.963362\pi\)
\(242\) 5.49552 1.98651i 0.353266 0.127698i
\(243\) −12.3961 9.45185i −0.795208 0.606337i
\(244\) 0.240863 0.652807i 0.0154197 0.0417917i
\(245\) 24.8721 7.75258i 1.58902 0.495294i
\(246\) 1.93712 + 1.10004i 0.123506 + 0.0701361i
\(247\) 7.05904 + 4.07554i 0.449156 + 0.259320i
\(248\) 0.0919482 13.9192i 0.00583872 0.883870i
\(249\) 2.96189 0.550825i 0.187702 0.0349071i
\(250\) 15.5003 + 13.0646i 0.980325 + 0.826275i
\(251\) 21.2978i 1.34430i −0.740413 0.672152i \(-0.765370\pi\)
0.740413 0.672152i \(-0.234630\pi\)
\(252\) −2.61287 15.6580i −0.164595 0.986361i
\(253\) 12.2431i 0.769719i
\(254\) −2.30675 + 2.73681i −0.144738 + 0.171723i
\(255\) −1.36256 + 0.253396i −0.0853269 + 0.0158683i
\(256\) 12.4360 10.0671i 0.777248 0.629194i
\(257\) −13.2299 7.63828i −0.825258 0.476463i 0.0269684 0.999636i \(-0.491415\pi\)
−0.852226 + 0.523173i \(0.824748\pi\)
\(258\) −4.51827 + 7.95644i −0.281295 + 0.495346i
\(259\) 13.9518 + 17.4421i 0.866922 + 1.08380i
\(260\) 9.20319 24.9432i 0.570758 1.54691i
\(261\) −7.20615 + 2.77628i −0.446049 + 0.171848i
\(262\) 2.80246 + 7.75278i 0.173137 + 0.478968i
\(263\) 0.249921 + 0.432876i 0.0154108 + 0.0266923i 0.873628 0.486594i \(-0.161761\pi\)
−0.858217 + 0.513287i \(0.828428\pi\)
\(264\) 12.6375 2.26394i 0.777784 0.139336i
\(265\) −7.90287 −0.485470
\(266\) 8.53584 + 0.219059i 0.523366 + 0.0134314i
\(267\) 10.3098 29.1705i 0.630948 1.78521i
\(268\) 15.3385 12.7558i 0.936946 0.779186i
\(269\) 10.9207 + 18.9153i 0.665849 + 1.15328i 0.979054 + 0.203599i \(0.0652638\pi\)
−0.313205 + 0.949685i \(0.601403\pi\)
\(270\) −21.3974 17.0332i −1.30221 1.03661i
\(271\) −13.6308 7.86975i −0.828013 0.478053i 0.0251590 0.999683i \(-0.491991\pi\)
−0.853172 + 0.521630i \(0.825324\pi\)
\(272\) −0.558568 + 0.653892i −0.0338681 + 0.0396480i
\(273\) −16.0777 3.06959i −0.973069 0.185780i
\(274\) 13.1041 + 2.34037i 0.791649 + 0.141387i
\(275\) 20.0891 + 11.5985i 1.21142 + 0.699414i
\(276\) −2.73155 + 15.9511i −0.164420 + 0.960146i
\(277\) −10.8672 + 6.27417i −0.652945 + 0.376978i −0.789584 0.613643i \(-0.789703\pi\)
0.136639 + 0.990621i \(0.456370\pi\)
\(278\) 8.15258 + 6.87148i 0.488959 + 0.412124i
\(279\) −9.27718 + 11.4850i −0.555411 + 0.687590i
\(280\) −4.00970 27.5609i −0.239625 1.64708i
\(281\) 22.7512i 1.35722i 0.734498 + 0.678610i \(0.237418\pi\)
−0.734498 + 0.678610i \(0.762582\pi\)
\(282\) −1.45491 2.47896i −0.0866386 0.147620i
\(283\) 0.440379 + 0.762759i 0.0261778 + 0.0453413i 0.878818 0.477158i \(-0.158333\pi\)
−0.852640 + 0.522499i \(0.825000\pi\)
\(284\) 3.41354 + 19.8705i 0.202556 + 1.17909i
\(285\) 11.1803 9.56068i 0.662263 0.566326i
\(286\) 2.32744 13.0317i 0.137624 0.770581i
\(287\) 0.875758 2.24113i 0.0516944 0.132289i
\(288\) −16.9701 + 0.130076i −0.999971 + 0.00766478i
\(289\) −8.47689 + 14.6824i −0.498640 + 0.863671i
\(290\) −12.7418 + 4.60588i −0.748223 + 0.270466i
\(291\) 2.81388 + 15.1308i 0.164952 + 0.886981i
\(292\) −13.6912 + 11.3859i −0.801215 + 0.666309i
\(293\) 22.1280 1.29273 0.646366 0.763028i \(-0.276288\pi\)
0.646366 + 0.763028i \(0.276288\pi\)
\(294\) −16.3328 + 5.21906i −0.952550 + 0.304382i
\(295\) 29.1887i 1.69943i
\(296\) 20.7571 11.8020i 1.20648 0.685978i
\(297\) −11.9792 6.47577i −0.695101 0.375762i
\(298\) 19.6498 7.10298i 1.13828 0.411465i
\(299\) 14.4510 + 8.34329i 0.835723 + 0.482505i
\(300\) −23.5857 19.5933i −1.36172 1.13122i
\(301\) 9.20511 + 3.59705i 0.530574 + 0.207331i
\(302\) −5.12375 0.915093i −0.294839 0.0526577i
\(303\) −19.4487 + 16.6313i −1.11730 + 0.955442i
\(304\) 1.66421 8.97522i 0.0954490 0.514764i
\(305\) −1.12137 + 0.647422i −0.0642094 + 0.0370713i
\(306\) 0.895562 0.173168i 0.0511959 0.00989937i
\(307\) 9.96754 0.568878 0.284439 0.958694i \(-0.408193\pi\)
0.284439 + 0.958694i \(0.408193\pi\)
\(308\) −4.37808 13.1581i −0.249464 0.749754i
\(309\) 4.33301 12.2598i 0.246496 0.697438i
\(310\) −16.6935 + 19.8058i −0.948125 + 1.12489i
\(311\) 5.87187 + 10.1704i 0.332963 + 0.576709i 0.983091 0.183115i \(-0.0586181\pi\)
−0.650128 + 0.759825i \(0.725285\pi\)
\(312\) −5.93983 + 16.4593i −0.336277 + 0.931824i
\(313\) −0.343520 + 0.594993i −0.0194169 + 0.0336310i −0.875571 0.483090i \(-0.839514\pi\)
0.856154 + 0.516721i \(0.172848\pi\)
\(314\) −29.8988 5.33988i −1.68729 0.301347i
\(315\) −14.8924 + 25.5119i −0.839093 + 1.43743i
\(316\) 7.76188 21.0369i 0.436640 1.18342i
\(317\) 16.4535 28.4983i 0.924120 1.60062i 0.131150 0.991363i \(-0.458133\pi\)
0.792970 0.609261i \(-0.208534\pi\)
\(318\) 5.20118 0.0371126i 0.291667 0.00208117i
\(319\) −5.84224 + 3.37302i −0.327103 + 0.188853i
\(320\) −29.7715 0.393349i −1.66428 0.0219889i
\(321\) 7.29082 20.6287i 0.406934 1.15138i
\(322\) 17.4742 + 0.448448i 0.973802 + 0.0249911i
\(323\) 0.490632i 0.0272995i
\(324\) 14.1624 + 11.1097i 0.786802 + 0.617206i
\(325\) −27.3802 + 15.8079i −1.51878 + 0.876867i
\(326\) 2.01172 0.727195i 0.111419 0.0402756i
\(327\) 14.5938 + 17.0660i 0.807037 + 0.943751i
\(328\) −2.21913 1.30083i −0.122531 0.0718265i
\(329\) −2.42447 + 1.93932i −0.133665 + 0.106918i
\(330\) −20.7751 11.7977i −1.14363 0.649441i
\(331\) −0.833276 + 1.44328i −0.0458010 + 0.0793297i −0.888017 0.459810i \(-0.847917\pi\)
0.842216 + 0.539140i \(0.181251\pi\)
\(332\) −3.42852 + 0.588984i −0.188164 + 0.0323247i
\(333\) −25.0192 3.93134i −1.37104 0.215436i
\(334\) −7.80394 6.57762i −0.427013 0.359911i
\(335\) −37.1235 −2.02827
\(336\) 2.76836 + 18.1200i 0.151027 + 0.988530i
\(337\) 9.04814 0.492884 0.246442 0.969158i \(-0.420739\pi\)
0.246442 + 0.969158i \(0.420739\pi\)
\(338\) −0.261783 0.220646i −0.0142391 0.0120016i
\(339\) 12.0987 2.25001i 0.657113 0.122204i
\(340\) 1.57722 0.270950i 0.0855368 0.0146944i
\(341\) −6.44858 + 11.1693i −0.349210 + 0.604849i
\(342\) −7.31327 + 6.34474i −0.395456 + 0.343085i
\(343\) 8.10952 + 16.6504i 0.437873 + 0.899037i
\(344\) 5.34299 9.11475i 0.288075 0.491434i
\(345\) 22.8878 19.5722i 1.23224 1.05373i
\(346\) −3.55627 + 1.28551i −0.191186 + 0.0691097i
\(347\) 4.59168 2.65101i 0.246494 0.142313i −0.371664 0.928367i \(-0.621213\pi\)
0.618158 + 0.786054i \(0.287879\pi\)
\(348\) 8.36421 3.09114i 0.448369 0.165702i
\(349\) 10.7938i 0.577779i −0.957362 0.288890i \(-0.906714\pi\)
0.957362 0.288890i \(-0.0932861\pi\)
\(350\) −17.2900 + 28.2478i −0.924188 + 1.50991i
\(351\) 15.8070 9.72640i 0.843714 0.519157i
\(352\) −14.6271 + 2.41342i −0.779625 + 0.128636i
\(353\) 24.5717 14.1865i 1.30782 0.755071i 0.326089 0.945339i \(-0.394269\pi\)
0.981732 + 0.190268i \(0.0609357\pi\)
\(354\) −0.137073 19.2102i −0.00728533 1.02101i
\(355\) 18.7591 32.4917i 0.995628 1.72448i
\(356\) −12.3664 + 33.5164i −0.655418 + 1.77637i
\(357\) −0.323866 0.930483i −0.0171408 0.0492464i
\(358\) 11.7247 + 2.09400i 0.619667 + 0.110671i
\(359\) −0.0586851 + 0.101646i −0.00309728 + 0.00536465i −0.867570 0.497315i \(-0.834319\pi\)
0.864473 + 0.502680i \(0.167653\pi\)
\(360\) 24.4350 + 20.0059i 1.28784 + 1.05440i
\(361\) 6.89612 + 11.9444i 0.362954 + 0.628654i
\(362\) 5.58049 6.62091i 0.293304 0.347987i
\(363\) 6.74780 + 2.38489i 0.354168 + 0.125174i
\(364\) 18.5145 + 3.79922i 0.970424 + 0.199133i
\(365\) 33.1365 1.73444
\(366\) 0.734974 0.431359i 0.0384177 0.0225475i
\(367\) 7.31080 4.22089i 0.381621 0.220329i −0.296902 0.954908i \(-0.595954\pi\)
0.678523 + 0.734579i \(0.262620\pi\)
\(368\) 3.40691 18.3737i 0.177597 0.957796i
\(369\) 0.980855 + 2.54592i 0.0510613 + 0.132535i
\(370\) −43.7414 7.81215i −2.27401 0.406134i
\(371\) −0.845534 5.55406i −0.0438980 0.288353i
\(372\) 10.8936 13.1133i 0.564806 0.679893i
\(373\) 0.0783826 + 0.0452542i 0.00405850 + 0.00234318i 0.502028 0.864851i \(-0.332587\pi\)
−0.497969 + 0.867195i \(0.665921\pi\)
\(374\) 0.749364 0.270879i 0.0387487 0.0140068i
\(375\) 4.53939 + 24.4092i 0.234413 + 1.26048i
\(376\) 1.64049 + 2.88527i 0.0846020 + 0.148796i
\(377\) 9.19441i 0.473536i
\(378\) 9.68145 16.8603i 0.497960 0.867200i
\(379\) −19.7881 −1.01645 −0.508224 0.861225i \(-0.669698\pi\)
−0.508224 + 0.861225i \(0.669698\pi\)
\(380\) −13.0604 + 10.8613i −0.669982 + 0.557172i
\(381\) −4.30981 + 0.801498i −0.220798 + 0.0410620i
\(382\) −20.1221 + 7.27372i −1.02954 + 0.372156i
\(383\) −12.4851 + 21.6249i −0.637961 + 1.10498i 0.347919 + 0.937525i \(0.386888\pi\)
−0.985880 + 0.167456i \(0.946445\pi\)
\(384\) 19.5956 + 0.119068i 0.999982 + 0.00607617i
\(385\) −9.39230 + 24.0355i −0.478676 + 1.22496i
\(386\) −0.760653 + 4.25902i −0.0387162 + 0.216778i
\(387\) −10.4570 + 4.02872i −0.531559 + 0.204792i
\(388\) −3.00881 17.5145i −0.152749 0.889164i
\(389\) 15.0483 + 26.0644i 0.762979 + 1.32152i 0.941308 + 0.337548i \(0.109597\pi\)
−0.178329 + 0.983971i \(0.557069\pi\)
\(390\) 28.0828 16.4819i 1.42203 0.834593i
\(391\) 1.00440i 0.0507948i
\(392\) 18.9406 5.76674i 0.956643 0.291265i
\(393\) −3.36446 + 9.51942i −0.169715 + 0.480191i
\(394\) 15.7591 + 13.2827i 0.793932 + 0.669173i
\(395\) −36.1364 + 20.8634i −1.81822 + 1.04975i
\(396\) 13.7283 + 7.66693i 0.689872 + 0.385278i
\(397\) 4.91661 + 2.83861i 0.246758 + 0.142466i 0.618279 0.785959i \(-0.287830\pi\)
−0.371521 + 0.928425i \(0.621164\pi\)
\(398\) 24.1754 + 4.31769i 1.21180 + 0.216426i
\(399\) 7.91534 + 6.83449i 0.396263 + 0.342153i
\(400\) 26.9210 + 22.9965i 1.34605 + 1.14982i
\(401\) −0.897563 0.518208i −0.0448222 0.0258781i 0.477421 0.878674i \(-0.341572\pi\)
−0.522244 + 0.852796i \(0.674905\pi\)
\(402\) 24.4323 0.174335i 1.21857 0.00869505i
\(403\) −8.78898 15.2230i −0.437810 0.758310i
\(404\) 22.7192 18.8938i 1.13032 0.940000i
\(405\) −7.04417 32.7467i −0.350028 1.62720i
\(406\) −4.60022 8.46201i −0.228305 0.419962i
\(407\) −22.1240 −1.09664
\(408\) −1.03676 + 0.185729i −0.0513271 + 0.00919497i
\(409\) 1.83983 + 3.18669i 0.0909739 + 0.157571i 0.907921 0.419141i \(-0.137669\pi\)
−0.816947 + 0.576712i \(0.804335\pi\)
\(410\) 1.62725 + 4.50164i 0.0803640 + 0.222320i
\(411\) 10.5956 + 12.3906i 0.522644 + 0.611181i
\(412\) −5.19738 + 14.0864i −0.256056 + 0.693985i
\(413\) −20.5135 + 3.12292i −1.00940 + 0.153669i
\(414\) −14.9714 + 12.9887i −0.735806 + 0.638360i
\(415\) 5.60623 + 3.23676i 0.275199 + 0.158886i
\(416\) 7.11922 18.9095i 0.349049 0.927115i
\(417\) 2.38755 + 12.8383i 0.116919 + 0.628695i
\(418\) −5.45080 + 6.46703i −0.266607 + 0.316313i
\(419\) 9.81445i 0.479467i −0.970839 0.239734i \(-0.922940\pi\)
0.970839 0.239734i \(-0.0770601\pi\)
\(420\) 17.5994 29.2196i 0.858765 1.42577i
\(421\) 33.0188i 1.60924i 0.593790 + 0.804620i \(0.297631\pi\)
−0.593790 + 0.804620i \(0.702369\pi\)
\(422\) 22.9988 + 19.3847i 1.11956 + 0.943633i
\(423\) 0.546461 3.47770i 0.0265698 0.169091i
\(424\) −6.00582 0.0396736i −0.291668 0.00192672i
\(425\) −1.64807 0.951516i −0.0799433 0.0461553i
\(426\) −12.1935 + 21.4721i −0.590775 + 1.04033i
\(427\) −0.574978 0.718819i −0.0278252 0.0347861i
\(428\) −8.74522 + 23.7020i −0.422716 + 1.14568i
\(429\) 12.3221 10.5371i 0.594916 0.508735i
\(430\) −18.4899 + 6.68369i −0.891660 + 0.322316i
\(431\) −5.27304 9.13317i −0.253993 0.439929i 0.710628 0.703568i \(-0.248411\pi\)
−0.964622 + 0.263638i \(0.915077\pi\)
\(432\) −16.1756 13.0519i −0.778247 0.627959i
\(433\) 13.7135 0.659026 0.329513 0.944151i \(-0.393115\pi\)
0.329513 + 0.944151i \(0.393115\pi\)
\(434\) −15.7053 9.61297i −0.753881 0.461437i
\(435\) −15.6453 5.52953i −0.750133 0.265121i
\(436\) −16.5791 19.9358i −0.793993 0.954751i
\(437\) −5.33056 9.23280i −0.254995 0.441665i
\(438\) −21.8084 + 0.155612i −1.04204 + 0.00743543i
\(439\) −8.62149 4.97762i −0.411481 0.237569i 0.279945 0.960016i \(-0.409684\pi\)
−0.691426 + 0.722447i \(0.743017\pi\)
\(440\) 23.7996 + 13.9511i 1.13460 + 0.665094i
\(441\) −19.5229 7.73671i −0.929662 0.368415i
\(442\) −0.190939 + 1.06910i −0.00908203 + 0.0508517i
\(443\) −0.202164 0.116720i −0.00960512 0.00554552i 0.495190 0.868785i \(-0.335099\pi\)
−0.504795 + 0.863239i \(0.668432\pi\)
\(444\) 28.8246 + 4.93605i 1.36795 + 0.234255i
\(445\) 57.5734 33.2400i 2.72924 1.57573i
\(446\) −6.09548 + 7.23192i −0.288630 + 0.342441i
\(447\) 24.1275 + 8.52740i 1.14119 + 0.403332i
\(448\) −2.90883 20.9652i −0.137429 0.990512i
\(449\) 5.83932i 0.275575i −0.990462 0.137787i \(-0.956001\pi\)
0.990462 0.137787i \(-0.0439990\pi\)
\(450\) −7.12941 36.8707i −0.336084 1.73810i
\(451\) 1.19168 + 2.06405i 0.0561141 + 0.0971924i
\(452\) −14.0048 + 2.40588i −0.658731 + 0.113163i
\(453\) −4.14292 4.84475i −0.194651 0.227626i
\(454\) 33.3788 + 5.96139i 1.56654 + 0.279782i
\(455\) −21.9695 27.4655i −1.02994 1.28760i
\(456\) 8.54450 7.20955i 0.400133 0.337618i
\(457\) 8.93416 15.4744i 0.417923 0.723863i −0.577808 0.816173i \(-0.696092\pi\)
0.995730 + 0.0923098i \(0.0294250\pi\)
\(458\) 7.94271 + 21.9728i 0.371138 + 1.02672i
\(459\) 0.982747 + 0.531260i 0.0458707 + 0.0247971i
\(460\) −26.7367 + 22.2348i −1.24660 + 1.03670i
\(461\) −0.400330 −0.0186452 −0.00932262 0.999957i \(-0.502968\pi\)
−0.00932262 + 0.999957i \(0.502968\pi\)
\(462\) 6.06855 15.8628i 0.282334 0.738004i
\(463\) 29.4293i 1.36769i −0.729626 0.683847i \(-0.760306\pi\)
0.729626 0.683847i \(-0.239694\pi\)
\(464\) −9.70629 + 3.43629i −0.450603 + 0.159526i
\(465\) −31.1892 + 5.80028i −1.44637 + 0.268982i
\(466\) 7.44222 + 20.5883i 0.344754 + 0.953734i
\(467\) −6.75074 3.89754i −0.312387 0.180357i 0.335607 0.942002i \(-0.391059\pi\)
−0.647994 + 0.761645i \(0.724392\pi\)
\(468\) −18.4049 + 10.9792i −0.850768 + 0.507515i
\(469\) −3.97187 26.0900i −0.183404 1.20472i
\(470\) 1.08590 6.08011i 0.0500887 0.280455i
\(471\) −24.1753 28.2707i −1.11394 1.30265i
\(472\) −0.146531 + 22.1821i −0.00674466 + 1.02101i
\(473\) −8.47781 + 4.89466i −0.389810 + 0.225057i
\(474\) 23.6847 13.9007i 1.08788 0.638479i
\(475\) 20.1995 0.926818
\(476\) 0.359169 + 1.07947i 0.0164625 + 0.0494773i
\(477\) 4.95553 + 4.00290i 0.226898 + 0.183280i
\(478\) 22.2173 + 18.7261i 1.01620 + 0.856511i
\(479\) −19.3422 33.5016i −0.883765 1.53073i −0.847122 0.531398i \(-0.821667\pi\)
−0.0366434 0.999328i \(-0.511667\pi\)
\(480\) −27.8950 23.4863i −1.27323 1.07200i
\(481\) 15.0768 26.1137i 0.687441 1.19068i
\(482\) −3.06658 + 17.1703i −0.139679 + 0.782085i
\(483\) 16.2040 + 13.9913i 0.737306 + 0.636627i
\(484\) −7.75311 2.86063i −0.352414 0.130029i
\(485\) −16.5349 + 28.6393i −0.750811 + 1.30044i
\(486\) 4.78981 + 21.5188i 0.217270 + 0.976111i
\(487\) 8.63096 4.98308i 0.391106 0.225805i −0.291533 0.956561i \(-0.594165\pi\)
0.682639 + 0.730756i \(0.260832\pi\)
\(488\) −0.855439 + 0.486382i −0.0387239 + 0.0220175i
\(489\) 2.47014 + 0.873026i 0.111704 + 0.0394796i
\(490\) −33.9612 14.2857i −1.53421 0.645364i
\(491\) 15.5075i 0.699845i 0.936779 + 0.349923i \(0.113792\pi\)
−0.936779 + 0.349923i \(0.886208\pi\)
\(492\) −1.09209 2.95506i −0.0492353 0.133224i
\(493\) 0.479286 0.276716i 0.0215860 0.0124627i
\(494\) −3.91873 10.8408i −0.176312 0.487752i
\(495\) −10.5194 27.3044i −0.472813 1.22724i
\(496\) −12.7857 + 14.9677i −0.574095 + 0.672068i
\(497\) 24.8419 + 9.70739i 1.11431 + 0.435436i
\(498\) −3.70487 2.10390i −0.166019 0.0942781i
\(499\) −0.275544 + 0.477256i −0.0123350 + 0.0213649i −0.872127 0.489279i \(-0.837260\pi\)
0.859792 + 0.510644i \(0.170593\pi\)
\(500\) −4.85385 28.2546i −0.217071 1.26359i
\(501\) −2.28545 12.2893i −0.102106 0.549045i
\(502\) −19.4113 + 23.0303i −0.866368 + 1.02789i
\(503\) 32.2097 1.43616 0.718079 0.695962i \(-0.245022\pi\)
0.718079 + 0.695962i \(0.245022\pi\)
\(504\) −11.4456 + 19.3131i −0.509829 + 0.860276i
\(505\) −54.9868 −2.44688
\(506\) −11.1587 + 13.2391i −0.496063 + 0.588548i
\(507\) −0.0766652 0.412243i −0.00340482 0.0183084i
\(508\) 4.98879 0.857022i 0.221342 0.0380242i
\(509\) −0.906135 + 1.56947i −0.0401637 + 0.0695656i −0.885408 0.464814i \(-0.846121\pi\)
0.845245 + 0.534379i \(0.179455\pi\)
\(510\) 1.70435 + 0.967859i 0.0754699 + 0.0428575i
\(511\) 3.54530 + 23.2880i 0.156835 + 1.03020i
\(512\) −22.6230 0.448384i −0.999804 0.0198160i
\(513\) −11.8532 + 0.332116i −0.523333 + 0.0146633i
\(514\) 7.34439 + 20.3176i 0.323947 + 0.896173i
\(515\) 24.1970 13.9702i 1.06625 0.615599i
\(516\) 12.1375 4.48562i 0.534323 0.197468i
\(517\) 3.07526i 0.135250i
\(518\) 0.810370 31.5769i 0.0356056 1.38741i
\(519\) −4.36664 1.54331i −0.191674 0.0677438i
\(520\) −32.6857 + 18.5843i −1.43336 + 0.814974i
\(521\) 6.65560 3.84261i 0.291587 0.168348i −0.347070 0.937839i \(-0.612823\pi\)
0.638657 + 0.769491i \(0.279490\pi\)
\(522\) 10.3227 + 3.56572i 0.451813 + 0.156067i
\(523\) −4.33611 + 7.51035i −0.189605 + 0.328405i −0.945118 0.326728i \(-0.894054\pi\)
0.755514 + 0.655133i \(0.227387\pi\)
\(524\) 4.03562 10.9377i 0.176297 0.477814i
\(525\) −38.3084 + 13.3337i −1.67192 + 0.581930i
\(526\) 0.124281 0.695872i 0.00541893 0.0303415i
\(527\) 0.529029 0.916305i 0.0230449 0.0399149i
\(528\) −15.7289 9.06999i −0.684513 0.394721i
\(529\) 0.587489 + 1.01756i 0.0255430 + 0.0442417i
\(530\) 8.54574 + 7.20285i 0.371203 + 0.312872i
\(531\) 14.7844 18.3029i 0.641588 0.794277i
\(532\) −9.03055 8.01664i −0.391524 0.347565i
\(533\) −3.24837 −0.140702
\(534\) −37.7351 + 22.1469i −1.63296 + 0.958388i
\(535\) 40.7145 23.5065i 1.76024 1.01627i
\(536\) −28.2121 0.186365i −1.21858 0.00804975i
\(537\) 9.48022 + 11.0862i 0.409102 + 0.478405i
\(538\) 5.43070 30.4074i 0.234134 1.31095i
\(539\) −17.8968 4.02924i −0.770871 0.173551i
\(540\) 7.61357 + 37.9209i 0.327636 + 1.63185i
\(541\) 10.0751 + 5.81687i 0.433163 + 0.250087i 0.700693 0.713463i \(-0.252874\pi\)
−0.267530 + 0.963549i \(0.586208\pi\)
\(542\) 7.56696 + 20.9334i 0.325029 + 0.899164i
\(543\) 10.4263 1.93899i 0.447435 0.0832098i
\(544\) 1.19998 0.197992i 0.0514486 0.00848884i
\(545\) 48.2503i 2.06681i
\(546\) 14.5879 + 17.9729i 0.624305 + 0.769169i
\(547\) −27.7574 −1.18682 −0.593410 0.804900i \(-0.702219\pi\)
−0.593410 + 0.804900i \(0.702219\pi\)
\(548\) −12.0370 14.4741i −0.514196 0.618305i
\(549\) 1.03109 + 0.162017i 0.0440056 + 0.00691473i
\(550\) −11.1522 30.8516i −0.475532 1.31552i
\(551\) −2.93717 + 5.08733i −0.125128 + 0.216728i
\(552\) 17.4920 14.7591i 0.744508 0.628190i
\(553\) −18.5288 23.1641i −0.787926 0.985039i
\(554\) 17.4696 + 3.12004i 0.742212 + 0.132558i
\(555\) −35.3681 41.3596i −1.50129 1.75562i
\(556\) −2.55295 14.8609i −0.108269 0.630242i
\(557\) −7.71096 13.3558i −0.326724 0.565902i 0.655136 0.755511i \(-0.272611\pi\)
−0.981860 + 0.189609i \(0.939278\pi\)
\(558\) 20.4995 3.96385i 0.867815 0.167803i
\(559\) 13.3422i 0.564315i
\(560\) −20.7838 + 33.4574i −0.878275 + 1.41383i
\(561\) 0.920124 + 0.325201i 0.0388476 + 0.0137300i
\(562\) 20.7359 24.6019i 0.874692 1.03777i
\(563\) 11.5626 6.67567i 0.487305 0.281346i −0.236151 0.971716i \(-0.575886\pi\)
0.723456 + 0.690371i \(0.242553\pi\)
\(564\) −0.686117 + 4.00665i −0.0288907 + 0.168710i
\(565\) 22.9003 + 13.2215i 0.963423 + 0.556233i
\(566\) 0.218993 1.22618i 0.00920497 0.0515401i
\(567\) 22.2604 8.45417i 0.934850 0.355042i
\(568\) 14.4192 24.5980i 0.605014 1.03211i
\(569\) −39.4279 22.7637i −1.65290 0.954305i −0.975870 0.218353i \(-0.929931\pi\)
−0.677034 0.735951i \(-0.736735\pi\)
\(570\) −20.8036 + 0.148442i −0.871366 + 0.00621757i
\(571\) 20.3243 + 35.2028i 0.850546 + 1.47319i 0.880716 + 0.473645i \(0.157062\pi\)
−0.0301698 + 0.999545i \(0.509605\pi\)
\(572\) −14.3942 + 11.9705i −0.601850 + 0.500512i
\(573\) −24.7074 8.73238i −1.03217 0.364800i
\(574\) −2.98961 + 1.62525i −0.124784 + 0.0678365i
\(575\) 41.3517 1.72448
\(576\) 18.4691 + 15.3262i 0.769545 + 0.638593i
\(577\) −8.50680 14.7342i −0.354143 0.613393i 0.632828 0.774292i \(-0.281894\pi\)
−0.986971 + 0.160899i \(0.948561\pi\)
\(578\) 22.5483 8.15073i 0.937886 0.339026i
\(579\) −4.02710 + 3.44372i −0.167360 + 0.143116i
\(580\) 17.9762 + 6.63259i 0.746420 + 0.275403i
\(581\) −1.67495 + 4.28630i −0.0694885 + 0.177826i
\(582\) 10.7477 18.9262i 0.445508 0.784517i
\(583\) 4.81928 + 2.78241i 0.199594 + 0.115236i
\(584\) 25.1822 + 0.166350i 1.04205 + 0.00688362i
\(585\) 39.3970 + 6.19056i 1.62886 + 0.255948i
\(586\) −23.9280 20.1679i −0.988458 0.833130i
\(587\) 28.5925i 1.18014i 0.807352 + 0.590070i \(0.200900\pi\)
−0.807352 + 0.590070i \(0.799100\pi\)
\(588\) 22.4182 + 9.24249i 0.924512 + 0.381154i
\(589\) 11.2306i 0.462750i
\(590\) 26.6032 31.5631i 1.09524 1.29943i
\(591\) 4.61518 + 24.8167i 0.189843 + 1.02082i
\(592\) −33.2023 6.15646i −1.36461 0.253029i
\(593\) −4.49943 2.59775i −0.184770 0.106677i 0.404762 0.914422i \(-0.367354\pi\)
−0.589532 + 0.807745i \(0.700688\pi\)
\(594\) 7.05146 + 17.9206i 0.289325 + 0.735292i
\(595\) 0.770526 1.97183i 0.0315885 0.0808371i
\(596\) −27.7221 10.2285i −1.13554 0.418975i
\(597\) 19.5476 + 22.8590i 0.800029 + 0.935556i
\(598\) −8.02227 22.1929i −0.328055 0.907537i
\(599\) −22.7140 39.3418i −0.928069 1.60746i −0.786550 0.617527i \(-0.788135\pi\)
−0.141519 0.989936i \(-0.545199\pi\)
\(600\) 7.64656 + 42.6837i 0.312169 + 1.74255i
\(601\) 45.5994 1.86004 0.930019 0.367511i \(-0.119790\pi\)
0.930019 + 0.367511i \(0.119790\pi\)
\(602\) −6.67548 12.2794i −0.272072 0.500471i
\(603\) 23.2784 + 18.8035i 0.947970 + 0.765736i
\(604\) 4.70651 + 5.65944i 0.191505 + 0.230279i
\(605\) 7.68917 + 13.3180i 0.312609 + 0.541455i
\(606\) 36.1889 0.258223i 1.47007 0.0104896i
\(607\) 18.3382 + 10.5876i 0.744324 + 0.429736i 0.823639 0.567114i \(-0.191940\pi\)
−0.0793155 + 0.996850i \(0.525273\pi\)
\(608\) −9.97980 + 8.18852i −0.404734 + 0.332088i
\(609\) 2.21220 11.5870i 0.0896430 0.469527i
\(610\) 1.80266 + 0.321952i 0.0729877 + 0.0130355i
\(611\) 3.62984 + 2.09569i 0.146848 + 0.0847825i
\(612\) −1.12624 0.628980i −0.0455256 0.0254250i
\(613\) −22.2592 + 12.8513i −0.899039 + 0.519060i −0.876888 0.480694i \(-0.840385\pi\)
−0.0221508 + 0.999755i \(0.507051\pi\)
\(614\) −10.7784 9.08464i −0.434979 0.366626i
\(615\) −1.95357 + 5.52744i −0.0787756 + 0.222888i
\(616\) −7.25838 + 18.2188i −0.292448 + 0.734055i
\(617\) 16.9888i 0.683941i −0.939711 0.341971i \(-0.888906\pi\)
0.939711 0.341971i \(-0.111094\pi\)
\(618\) −15.8594 + 9.30792i −0.637958 + 0.374420i
\(619\) −11.6456 20.1708i −0.468076 0.810732i 0.531258 0.847210i \(-0.321719\pi\)
−0.999334 + 0.0364781i \(0.988386\pi\)
\(620\) 36.1028 6.20210i 1.44992 0.249082i
\(621\) −24.2655 + 0.679895i −0.973740 + 0.0272832i
\(622\) 2.91998 16.3495i 0.117081 0.655554i
\(623\) 29.5206 + 36.9056i 1.18272 + 1.47859i
\(624\) 21.4244 12.3845i 0.857661 0.495777i
\(625\) −4.54562 + 7.87325i −0.181825 + 0.314930i
\(626\) 0.913754 0.330302i 0.0365209 0.0132015i
\(627\) −10.1840 + 1.89392i −0.406709 + 0.0756360i
\(628\) 27.4641 + 33.0247i 1.09594 + 1.31783i
\(629\) 1.81501 0.0723691
\(630\) 39.3560 14.0140i 1.56798 0.558329i
\(631\) 15.0554i 0.599347i 0.954042 + 0.299674i \(0.0968778\pi\)
−0.954042 + 0.299674i \(0.903122\pi\)
\(632\) −27.5668 + 15.6738i −1.09655 + 0.623470i
\(633\) 6.73537 + 36.2174i 0.267707 + 1.43951i
\(634\) −43.7659 + 15.8204i −1.73817 + 0.628310i
\(635\) −8.15754 4.70976i −0.323722 0.186901i
\(636\) −5.65810 4.70034i −0.224358 0.186380i
\(637\) 16.9520 18.3785i 0.671661 0.728182i
\(638\) 9.39173 + 1.67735i 0.371822 + 0.0664068i
\(639\) −28.2204 + 10.8723i −1.11638 + 0.430103i
\(640\) 31.8347 + 27.5597i 1.25838 + 1.08939i
\(641\) 22.9318 13.2397i 0.905752 0.522936i 0.0266904 0.999644i \(-0.491503\pi\)
0.879062 + 0.476707i \(0.158170\pi\)
\(642\) −26.6853 + 15.6617i −1.05319 + 0.618118i
\(643\) −29.9973 −1.18298 −0.591490 0.806312i \(-0.701460\pi\)
−0.591490 + 0.806312i \(0.701460\pi\)
\(644\) −18.4870 16.4113i −0.728489 0.646697i
\(645\) −22.7032 8.02403i −0.893937 0.315946i
\(646\) 0.447173 0.530543i 0.0175938 0.0208739i
\(647\) 9.22707 + 15.9817i 0.362753 + 0.628307i 0.988413 0.151789i \(-0.0485034\pi\)
−0.625659 + 0.780096i \(0.715170\pi\)
\(648\) −5.18885 24.9214i −0.203837 0.979005i
\(649\) 10.2766 17.7997i 0.403394 0.698698i
\(650\) 44.0152 + 7.86103i 1.72642 + 0.308335i
\(651\) −7.41334 21.2989i −0.290552 0.834770i
\(652\) −2.83815 1.04718i −0.111151 0.0410107i
\(653\) −8.95898 + 15.5174i −0.350592 + 0.607243i −0.986353 0.164643i \(-0.947353\pi\)
0.635761 + 0.771886i \(0.280686\pi\)
\(654\) −0.226588 31.7553i −0.00886028 1.24173i
\(655\) −18.7883 + 10.8474i −0.734121 + 0.423845i
\(656\) 1.21403 + 3.42921i 0.0474001 + 0.133888i
\(657\) −20.7784 16.7840i −0.810642 0.654807i
\(658\) 4.38923 + 0.112642i 0.171110 + 0.00439126i
\(659\) 30.7250i 1.19687i 0.801170 + 0.598437i \(0.204211\pi\)
−0.801170 + 0.598437i \(0.795789\pi\)
\(660\) 11.7124 + 31.6923i 0.455906 + 1.23362i
\(661\) −13.0311 + 7.52352i −0.506852 + 0.292631i −0.731539 0.681800i \(-0.761197\pi\)
0.224687 + 0.974431i \(0.427864\pi\)
\(662\) 2.21649 0.801215i 0.0861465 0.0311401i
\(663\) −1.01088 + 0.864441i −0.0392593 + 0.0335721i
\(664\) 4.24423 + 2.48793i 0.164708 + 0.0965504i
\(665\) 3.38195 + 22.2151i 0.131147 + 0.861463i
\(666\) 23.4713 + 27.0542i 0.909494 + 1.04833i
\(667\) −6.01287 + 10.4146i −0.232819 + 0.403254i
\(668\) 2.44377 + 14.2254i 0.0945524 + 0.550396i
\(669\) −11.3885 + 2.11793i −0.440304 + 0.0818837i
\(670\) 40.1433 + 33.8352i 1.55087 + 1.30717i
\(671\) 0.911768 0.0351984
\(672\) 13.5215 22.1172i 0.521602 0.853189i
\(673\) 20.6079 0.794376 0.397188 0.917737i \(-0.369986\pi\)
0.397188 + 0.917737i \(0.369986\pi\)
\(674\) −9.78417 8.24667i −0.376872 0.317650i
\(675\) 21.8722 40.4601i 0.841861 1.55731i
\(676\) 0.0819762 + 0.477189i 0.00315293 + 0.0183534i
\(677\) 5.13682 8.89723i 0.197424 0.341948i −0.750268 0.661133i \(-0.770076\pi\)
0.947692 + 0.319185i \(0.103409\pi\)
\(678\) −15.1336 8.59402i −0.581204 0.330051i
\(679\) −21.8965 8.55642i −0.840310 0.328365i
\(680\) −1.95247 1.14452i −0.0748739 0.0438905i
\(681\) 26.9891 + 31.5612i 1.03423 + 1.20943i
\(682\) 17.1531 6.20046i 0.656824 0.237428i
\(683\) 30.7725 17.7665i 1.17748 0.679817i 0.222048 0.975036i \(-0.428726\pi\)
0.955430 + 0.295218i \(0.0953924\pi\)
\(684\) 13.6909 0.195391i 0.523485 0.00747096i
\(685\) 35.0316i 1.33849i
\(686\) 6.40634 25.3960i 0.244595 0.969625i
\(687\) −9.53553 + 26.9798i −0.363803 + 1.02935i
\(688\) −14.0850 + 4.98648i −0.536986 + 0.190108i
\(689\) −6.56837 + 3.79225i −0.250235 + 0.144473i
\(690\) −42.5883 + 0.303886i −1.62131 + 0.0115687i
\(691\) 17.0490 29.5298i 0.648576 1.12337i −0.334887 0.942258i \(-0.608698\pi\)
0.983463 0.181109i \(-0.0579685\pi\)
\(692\) 5.01720 + 1.85118i 0.190725 + 0.0703711i
\(693\) 18.0638 10.3143i 0.686185 0.391807i
\(694\) −7.38138 1.31830i −0.280193 0.0500420i
\(695\) −14.0297 + 24.3002i −0.532177 + 0.921758i
\(696\) −11.8619 4.28073i −0.449625 0.162261i
\(697\) −0.0977632 0.169331i −0.00370305 0.00641386i
\(698\) −9.83772 + 11.6718i −0.372363 + 0.441786i
\(699\) −8.93467 + 25.2798i −0.337940 + 0.956169i
\(700\) 44.4421 14.7872i 1.67975 0.558902i
\(701\) −42.6496 −1.61085 −0.805426 0.592696i \(-0.798063\pi\)
−0.805426 + 0.592696i \(0.798063\pi\)
\(702\) −25.9577 3.88923i −0.979709 0.146789i
\(703\) −16.6842 + 9.63261i −0.629255 + 0.363301i
\(704\) 18.0166 + 10.7217i 0.679025 + 0.404089i
\(705\) 5.74903 4.91621i 0.216521 0.185155i
\(706\) −39.5004 7.05471i −1.48662 0.265507i
\(707\) −5.88308 38.6442i −0.221256 1.45336i
\(708\) −17.3603 + 20.8978i −0.652442 + 0.785386i
\(709\) −24.7114 14.2671i −0.928054 0.535812i −0.0418586 0.999124i \(-0.513328\pi\)
−0.886196 + 0.463311i \(0.846661\pi\)
\(710\) −49.8987 + 18.0373i −1.87266 + 0.676928i
\(711\) 33.2270 + 5.22106i 1.24611 + 0.195805i
\(712\) 43.9200 24.9719i 1.64597 0.935860i
\(713\) 22.9909i 0.861017i
\(714\) −0.497852 + 1.30135i −0.0186316 + 0.0487019i
\(715\) 34.8380 1.30287
\(716\) −10.7699 12.9504i −0.402490 0.483981i
\(717\) 6.50653 + 34.9869i 0.242991 + 1.30661i
\(718\) 0.156101 0.0564272i 0.00582564 0.00210584i
\(719\) 25.0072 43.3138i 0.932612 1.61533i 0.153775 0.988106i \(-0.450857\pi\)
0.778837 0.627226i \(-0.215810\pi\)
\(720\) −8.18890 43.9039i −0.305182 1.63620i
\(721\) 12.4070 + 15.5108i 0.462059 + 0.577651i
\(722\) 3.42933 19.2013i 0.127626 0.714600i
\(723\) −16.2353 + 13.8834i −0.603797 + 0.516329i
\(724\) −12.0689 + 2.07331i −0.448536 + 0.0770539i
\(725\) −11.3925 19.7324i −0.423108 0.732844i
\(726\) −5.12307 8.72898i −0.190135 0.323963i
\(727\) 27.7338i 1.02859i −0.857614 0.514295i \(-0.828054\pi\)
0.857614 0.514295i \(-0.171946\pi\)
\(728\) −16.5579 20.9828i −0.613677 0.777675i
\(729\) −12.1695 + 24.1019i −0.450723 + 0.892664i
\(730\) −35.8320 30.2014i −1.32620 1.11780i
\(731\) 0.695503 0.401549i 0.0257241 0.0148518i
\(732\) −1.18791 0.203423i −0.0439065 0.00751875i
\(733\) −24.4018 14.0884i −0.901300 0.520366i −0.0236782 0.999720i \(-0.507538\pi\)
−0.877622 + 0.479354i \(0.840871\pi\)
\(734\) −11.7525 2.09898i −0.433794 0.0774748i
\(735\) −21.0780 39.8984i −0.777475 1.47168i
\(736\) −20.4303 + 16.7632i −0.753069 + 0.617900i
\(737\) 22.6384 + 13.0703i 0.833897 + 0.481450i
\(738\) 1.25976 3.64699i 0.0463725 0.134248i
\(739\) 15.9133 + 27.5626i 0.585379 + 1.01391i 0.994828 + 0.101573i \(0.0323876\pi\)
−0.409449 + 0.912333i \(0.634279\pi\)
\(740\) 40.1795 + 48.3146i 1.47703 + 1.77608i
\(741\) 4.70459 13.3112i 0.172827 0.488998i
\(742\) −4.14778 + 6.77650i −0.152270 + 0.248773i
\(743\) 30.9943 1.13707 0.568535 0.822659i \(-0.307510\pi\)
0.568535 + 0.822659i \(0.307510\pi\)
\(744\) −23.7315 + 4.25137i −0.870039 + 0.155863i
\(745\) 27.4934 + 47.6200i 1.00728 + 1.74466i
\(746\) −0.0435130 0.120375i −0.00159313 0.00440725i
\(747\) −1.87595 4.86924i −0.0686375 0.178156i
\(748\) −1.05721 0.390073i −0.0386553 0.0142625i
\(749\) 20.8762 + 26.0988i 0.762800 + 0.953628i
\(750\) 17.3384 30.5320i 0.633109 1.11487i
\(751\) 32.0364 + 18.4962i 1.16902 + 0.674936i 0.953450 0.301551i \(-0.0975045\pi\)
0.215574 + 0.976488i \(0.430838\pi\)
\(752\) 0.855756 4.61516i 0.0312062 0.168297i
\(753\) −36.2670 + 6.74460i −1.32164 + 0.245787i
\(754\) −8.37999 + 9.94234i −0.305181 + 0.362079i
\(755\) 13.6974i 0.498501i
\(756\) −25.8358 + 9.40793i −0.939641 + 0.342163i
\(757\) 2.01191i 0.0731242i 0.999331 + 0.0365621i \(0.0116407\pi\)
−0.999331 + 0.0365621i \(0.988359\pi\)
\(758\) 21.3978 + 18.0353i 0.777204 + 0.655073i
\(759\) −20.8483 + 3.87716i −0.756744 + 0.140732i
\(760\) 24.0220 + 0.158686i 0.871369 + 0.00575614i
\(761\) −35.5006 20.4963i −1.28689 0.742989i −0.308795 0.951129i \(-0.599926\pi\)
−0.978099 + 0.208140i \(0.933259\pi\)
\(762\) 5.39090 + 3.06136i 0.195292 + 0.110901i
\(763\) −33.9098 + 5.16233i −1.22762 + 0.186889i
\(764\) 28.3884 + 10.4743i 1.02706 + 0.378948i
\(765\) 0.862994 + 2.24000i 0.0312016 + 0.0809873i
\(766\) 33.2102 12.0048i 1.19993 0.433750i
\(767\) 14.0064 + 24.2598i 0.505741 + 0.875970i
\(768\) −21.0811 17.9886i −0.760697 0.649107i
\(769\) −46.8470 −1.68935 −0.844673 0.535282i \(-0.820205\pi\)
−0.844673 + 0.535282i \(0.820205\pi\)
\(770\) 32.0629 17.4304i 1.15547 0.628148i
\(771\) −8.81723 + 24.9475i −0.317545 + 0.898461i
\(772\) 4.70429 3.91219i 0.169311 0.140803i
\(773\) −11.2358 19.4611i −0.404125