Properties

Label 168.2.v.a.107.3
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 107.3
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.32999 - 0.480762i) q^{2} +(-0.316681 - 1.70285i) q^{3} +(1.53774 + 1.27882i) q^{4} +(-1.86088 + 3.22314i) q^{5} +(-0.397486 + 2.41702i) q^{6} +(-2.46429 - 0.962962i) q^{7} +(-1.43036 - 2.44009i) q^{8} +(-2.79943 + 1.07852i) q^{9} +O(q^{10})\) \(q+(-1.32999 - 0.480762i) q^{2} +(-0.316681 - 1.70285i) q^{3} +(1.53774 + 1.27882i) q^{4} +(-1.86088 + 3.22314i) q^{5} +(-0.397486 + 2.41702i) q^{6} +(-2.46429 - 0.962962i) q^{7} +(-1.43036 - 2.44009i) q^{8} +(-2.79943 + 1.07852i) q^{9} +(4.02451 - 3.39209i) q^{10} +(-2.26958 + 1.31034i) q^{11} +(1.69067 - 3.02352i) q^{12} +3.57182i q^{13} +(2.81451 + 2.46546i) q^{14} +(6.07784 + 2.14810i) q^{15} +(0.729261 + 3.93296i) q^{16} +(0.186192 - 0.107498i) q^{17} +(4.24172 - 0.0885645i) 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} +(-3.70216 + 3.20843i) q^{24} +(-4.42574 - 7.66560i) q^{25} +(1.71720 - 4.75048i) q^{26} +(2.72309 + 4.42547i) q^{27} +(-2.55797 - 4.63215i) q^{28} -2.57415 q^{29} +(-7.05072 - 5.77894i) q^{30} +(-4.26196 + 2.46064i) q^{31} +(0.920911 - 5.58139i) q^{32} +(2.95006 + 3.44980i) q^{33} +(-0.299314 + 0.0534570i) q^{34} +(7.68949 - 6.15077i) q^{35} +(-5.68401 - 1.92147i) q^{36} +(-7.31104 - 4.22103i) q^{37} +(2.46769 - 2.07991i) q^{38} +(6.08229 - 1.13113i) q^{39} +(10.5265 - 0.0695365i) q^{40} -0.909442i q^{41} +(3.30702 - 5.57347i) q^{42} +3.73541 q^{43} +(-5.16570 - 0.887414i) q^{44} +(1.73317 - 11.0299i) q^{45} +(-5.05175 + 4.25791i) q^{46} +(0.586728 - 1.01624i) q^{47} +(6.46632 - 2.48732i) q^{48} +(5.14541 + 4.74603i) q^{49} +(2.20085 + 12.3229i) q^{50} +(-0.242017 - 0.283015i) q^{51} +(-4.56770 + 5.49252i) q^{52} +(1.06171 + 1.83894i) q^{53} +(-1.49408 - 7.19498i) q^{54} -9.75355i q^{55} +(1.17511 + 7.39048i) q^{56} +(3.72672 + 1.31714i) q^{57} +(3.42359 + 1.23755i) q^{58} +(-6.79199 + 3.92136i) q^{59} +(6.59908 + 11.0756i) 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} +(-2.26500 - 6.00647i) q^{66} +(-4.98736 - 8.63836i) q^{67} +(0.423784 + 0.0728018i) q^{68} +(-7.62919 - 2.69640i) q^{69} +(-13.1840 + 4.48364i) q^{70} -10.0808 q^{71} +(6.63590 + 5.28818i) q^{72} +(4.45173 + 7.71062i) q^{73} +(7.69428 + 9.12879i) q^{74} +(-11.6519 + 9.96394i) q^{75} +(-4.28194 + 1.57989i) q^{76} +(6.85470 - 1.04354i) q^{77} +(-8.63318 - 1.41975i) q^{78} +(9.70950 + 5.60578i) q^{79} +(-14.0335 - 4.96826i) q^{80} +(6.67358 - 6.03849i) q^{81} +(-0.437225 + 1.20955i) q^{82} +1.73937i q^{83} +(-7.07781 + 5.82276i) q^{84} +0.800163i q^{85} +(-4.96805 - 1.79584i) q^{86} +(0.815185 + 4.38341i) q^{87} +(6.44368 + 3.66372i) q^{88} +(15.4694 + 8.93127i) q^{89} +(-7.60786 + 13.8364i) q^{90} +(3.43953 - 8.80199i) q^{91} +(8.76581 - 3.23428i) q^{92} +(5.53980 + 6.47826i) q^{93} +(-1.26891 + 1.06951i) q^{94} +(-4.24662 - 7.35536i) q^{95} +(-9.79593 + 0.199344i) q^{96} -8.88553 q^{97} +(-4.56162 - 8.78588i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32999 0.480762i −0.940443 0.339950i
\(3\) −0.316681 1.70285i −0.182836 0.983143i
\(4\) 1.53774 + 1.27882i 0.768868 + 0.639408i
\(5\) −1.86088 + 3.22314i −0.832210 + 1.44143i 0.0640716 + 0.997945i \(0.479591\pi\)
−0.896282 + 0.443485i \(0.853742\pi\)
\(6\) −0.397486 + 2.41702i −0.162273 + 0.986746i
\(7\) −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
\(10\) 4.02451 3.39209i 1.27266 1.07267i
\(11\) −2.26958 + 1.31034i −0.684304 + 0.395083i −0.801475 0.598029i \(-0.795951\pi\)
0.117171 + 0.993112i \(0.462618\pi\)
\(12\) 1.69067 3.02352i 0.488053 0.872814i
\(13\) 3.57182i 0.990645i 0.868709 + 0.495323i \(0.164950\pi\)
−0.868709 + 0.495323i \(0.835050\pi\)
\(14\) 2.81451 + 2.46546i 0.752211 + 0.658923i
\(15\) 6.07784 + 2.14810i 1.56929 + 0.554637i
\(16\) 0.729261 + 3.93296i 0.182315 + 0.983240i
\(17\) 0.186192 0.107498i 0.0451582 0.0260721i −0.477251 0.878767i \(-0.658367\pi\)
0.522409 + 0.852695i \(0.325033\pi\)
\(18\) 4.24172 0.0885645i 0.999782 0.0208749i
\(19\) −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 −0.512828 0.858491i \(-0.671402\pi\)
0.999889 + 0.0148767i \(0.00473557\pi\)
\(24\) −3.70216 + 3.20843i −0.755700 + 0.654918i
\(25\) −4.42574 7.66560i −0.885148 1.53312i
\(26\) 1.71720 4.75048i 0.336770 0.931646i
\(27\) 2.72309 + 4.42547i 0.524060 + 0.851682i
\(28\) −2.55797 4.63215i −0.483411 0.875394i
\(29\) −2.57415 −0.478008 −0.239004 0.971019i \(-0.576821\pi\)
−0.239004 + 0.971019i \(0.576821\pi\)
\(30\) −7.05072 5.77894i −1.28728 1.05509i
\(31\) −4.26196 + 2.46064i −0.765471 + 0.441945i −0.831257 0.555889i \(-0.812378\pi\)
0.0657857 + 0.997834i \(0.479045\pi\)
\(32\) 0.920911 5.58139i 0.162796 0.986660i
\(33\) 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
\(36\) −5.68401 1.92147i −0.947335 0.320244i
\(37\) −7.31104 4.22103i −1.20193 0.693933i −0.240944 0.970539i \(-0.577457\pi\)
−0.960983 + 0.276606i \(0.910790\pi\)
\(38\) 2.46769 2.07991i 0.400312 0.337406i
\(39\) 6.08229 1.13113i 0.973946 0.181125i
\(40\) 10.5265 0.0695365i 1.66438 0.0109947i
\(41\) 0.909442i 0.142031i −0.997475 0.0710155i \(-0.977376\pi\)
0.997475 0.0710155i \(-0.0226240\pi\)
\(42\) 3.30702 5.57347i 0.510284 0.860006i
\(43\) 3.73541 0.569644 0.284822 0.958580i \(-0.408065\pi\)
0.284822 + 0.958580i \(0.408065\pi\)
\(44\) −5.16570 0.887414i −0.778759 0.133783i
\(45\) 1.73317 11.0299i 0.258365 1.64425i
\(46\) −5.05175 + 4.25791i −0.744840 + 0.627795i
\(47\) 0.586728 1.01624i 0.0855831 0.148234i −0.820056 0.572283i \(-0.806058\pi\)
0.905640 + 0.424048i \(0.139391\pi\)
\(48\) 6.46632 2.48732i 0.933332 0.359014i
\(49\) 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
\(52\) −4.56770 + 5.49252i −0.633426 + 0.761675i
\(53\) 1.06171 + 1.83894i 0.145837 + 0.252598i 0.929685 0.368355i \(-0.120079\pi\)
−0.783848 + 0.620953i \(0.786746\pi\)
\(54\) −1.49408 7.19498i −0.203319 0.979113i
\(55\) 9.75355i 1.31517i
\(56\) 1.17511 + 7.39048i 0.157030 + 0.987594i
\(57\) 3.72672 + 1.31714i 0.493616 + 0.174459i
\(58\) 3.42359 + 1.23755i 0.449539 + 0.162499i
\(59\) −6.79199 + 3.92136i −0.884242 + 0.510517i −0.872055 0.489408i \(-0.837213\pi\)
−0.0121872 + 0.999926i \(0.503879\pi\)
\(60\) 6.59908 + 11.0756i 0.851938 + 1.42986i
\(61\) 0.301301 + 0.173956i 0.0385776 + 0.0222728i 0.519165 0.854674i \(-0.326243\pi\)
−0.480587 + 0.876947i \(0.659576\pi\)
\(62\) 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
\(66\) −2.26500 6.00647i −0.278803 0.739346i
\(67\) −4.98736 8.63836i −0.609303 1.05534i −0.991356 0.131203i \(-0.958116\pi\)
0.382053 0.924140i \(-0.375217\pi\)
\(68\) 0.423784 + 0.0728018i 0.0513914 + 0.00882851i
\(69\) −7.62919 2.69640i −0.918446 0.324608i
\(70\) −13.1840 + 4.48364i −1.57579 + 0.535897i
\(71\) −10.0808 −1.19637 −0.598183 0.801359i \(-0.704111\pi\)
−0.598183 + 0.801359i \(0.704111\pi\)
\(72\) 6.63590 + 5.28818i 0.782048 + 0.623219i
\(73\) 4.45173 + 7.71062i 0.521036 + 0.902460i 0.999701 + 0.0244626i \(0.00778746\pi\)
−0.478665 + 0.877998i \(0.658879\pi\)
\(74\) 7.69428 + 9.12879i 0.894442 + 1.06120i
\(75\) −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
\(78\) −8.63318 1.41975i −0.977515 0.160755i
\(79\) 9.70950 + 5.60578i 1.09240 + 0.630700i 0.934216 0.356709i \(-0.116101\pi\)
0.158189 + 0.987409i \(0.449434\pi\)
\(80\) −14.0335 4.96826i −1.56900 0.555468i
\(81\) 6.67358 6.03849i 0.741508 0.670944i
\(82\) −0.437225 + 1.20955i −0.0482835 + 0.133572i
\(83\) 1.73937i 0.190921i 0.995433 + 0.0954603i \(0.0304323\pi\)
−0.995433 + 0.0954603i \(0.969568\pi\)
\(84\) −7.07781 + 5.82276i −0.772253 + 0.635315i
\(85\) 0.800163i 0.0867898i
\(86\) −4.96805 1.79584i −0.535718 0.193651i
\(87\) 0.815185 + 4.38341i 0.0873970 + 0.469950i
\(88\) 6.44368 + 3.66372i 0.686899 + 0.390554i
\(89\) 15.4694 + 8.93127i 1.63975 + 0.946712i 0.980917 + 0.194426i \(0.0622845\pi\)
0.658837 + 0.752286i \(0.271049\pi\)
\(90\) −7.60786 + 13.8364i −0.801939 + 1.45849i
\(91\) 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
\(94\) −1.26891 + 1.06951i −0.130878 + 0.110312i
\(95\) −4.24662 7.35536i −0.435694 0.754644i
\(96\) −9.79593 + 0.199344i −0.999793 + 0.0203454i
\(97\) −8.88553 −0.902189 −0.451094 0.892476i \(-0.648966\pi\)
−0.451094 + 0.892476i \(0.648966\pi\)
\(98\) −4.56162 8.78588i −0.460793 0.887507i
\(99\) 4.94029 6.11600i 0.496518 0.614681i
\(100\) 2.99728 17.4474i 0.299728 1.74474i
\(101\) 7.38721 + 12.7950i 0.735055 + 1.27315i 0.954699 + 0.297573i \(0.0961770\pi\)
−0.219644 + 0.975580i \(0.570490\pi\)
\(102\) 0.185816 + 0.492759i 0.0183986 + 0.0487905i
\(103\) −6.50151 3.75365i −0.640613 0.369858i 0.144238 0.989543i \(-0.453927\pi\)
−0.784851 + 0.619685i \(0.787260\pi\)
\(104\) 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 \(0.457600\pi\)
\(108\) −1.47196 + 10.2875i −0.141639 + 0.989918i
\(109\) 11.2275 6.48219i 1.07540 0.620881i 0.145747 0.989322i \(-0.453442\pi\)
0.929651 + 0.368441i \(0.120108\pi\)
\(110\) −4.68914 + 12.9721i −0.447092 + 1.23684i
\(111\) −4.87253 + 13.7864i −0.462480 + 1.30854i
\(112\) 1.99018 10.3942i 0.188055 0.982159i
\(113\) 7.10498i 0.668380i 0.942506 + 0.334190i \(0.108463\pi\)
−0.942506 + 0.334190i \(0.891537\pi\)
\(114\) −4.32326 3.54344i −0.404910 0.331874i
\(115\) 8.69351 + 15.0576i 0.810674 + 1.40413i
\(116\) −3.95836 3.29187i −0.367525 0.305642i
\(117\) −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
\(120\) −3.45195 17.9031i −0.315118 1.63432i
\(121\) −2.06600 + 3.57842i −0.187819 + 0.325311i
\(122\) −0.317095 0.376214i −0.0287084 0.0340608i
\(123\) −1.54865 + 0.288003i −0.139637 + 0.0259684i
\(124\) −9.70048 1.66644i −0.871129 0.149651i
\(125\) 14.3343 1.28210
\(126\) −10.5381 3.86636i −0.938807 0.344443i
\(127\) 2.53093i 0.224584i 0.993675 + 0.112292i \(0.0358192\pi\)
−0.993675 + 0.112292i \(0.964181\pi\)
\(128\) 8.55369 7.40503i 0.756046 0.654518i
\(129\) −1.18293 6.36086i −0.104151 0.560042i
\(130\) 12.1159 + 14.3748i 1.06264 + 1.26076i
\(131\) −5.04824 2.91460i −0.441067 0.254650i 0.262983 0.964800i \(-0.415294\pi\)
−0.704050 + 0.710150i \(0.748627\pi\)
\(132\) 0.124742 + 9.07746i 0.0108574 + 0.790092i
\(133\) 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
\(136\) −0.528627 0.300565i −0.0453294 0.0257732i
\(137\) −8.15158 + 4.70632i −0.696437 + 0.402088i −0.806019 0.591890i \(-0.798382\pi\)
0.109582 + 0.993978i \(0.465049\pi\)
\(138\) 8.85040 + 7.25400i 0.753396 + 0.617501i
\(139\) −7.53929 −0.639474 −0.319737 0.947506i \(-0.603595\pi\)
−0.319737 + 0.947506i \(0.603595\pi\)
\(140\) 19.6901 + 0.375182i 1.66412 + 0.0317086i
\(141\) −1.91632 0.677288i −0.161383 0.0570379i
\(142\) 13.4073 + 4.84645i 1.12512 + 0.406705i
\(143\) −4.68031 8.10654i −0.391387 0.677903i
\(144\) −6.28330 10.2235i −0.523608 0.851959i
\(145\) 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 \(-0.626433\pi\)
0.992022 0.126062i \(-0.0402338\pi\)
\(150\) 20.2871 7.65014i 1.65644 0.624632i
\(151\) −3.18729 + 1.84018i −0.259378 + 0.149752i −0.624051 0.781384i \(-0.714514\pi\)
0.364673 + 0.931136i \(0.381181\pi\)
\(152\) 6.45448 0.0426373i 0.523527 0.00345834i
\(153\) −0.405292 + 0.501745i −0.0327659 + 0.0405637i
\(154\) −9.61837 1.90759i −0.775070 0.153718i
\(155\) 18.3158i 1.47116i
\(156\) 10.7995 + 6.03876i 0.864649 + 0.483487i
\(157\) −18.5989 + 10.7381i −1.48436 + 0.856993i −0.999842 0.0177905i \(-0.994337\pi\)
−0.484514 + 0.874784i \(0.661003\pi\)
\(158\) −10.2185 12.1236i −0.812938 0.964501i
\(159\) 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
\(162\) −11.7789 + 4.82272i −0.925434 + 0.378909i
\(163\) −0.756294 + 1.30994i −0.0592375 + 0.102602i −0.894123 0.447821i \(-0.852200\pi\)
0.834886 + 0.550423i \(0.185534\pi\)
\(164\) 1.16301 1.39848i 0.0908158 0.109203i
\(165\) −16.6089 + 3.08877i −1.29300 + 0.240460i
\(166\) 0.836223 2.31334i 0.0649035 0.179550i
\(167\) −7.21687 −0.558459 −0.279229 0.960224i \(-0.590079\pi\)
−0.279229 + 0.960224i \(0.590079\pi\)
\(168\) 12.2128 4.34146i 0.942236 0.334951i
\(169\) 0.242090 0.0186223
\(170\) 0.384688 1.06421i 0.0295042 0.0816209i
\(171\) 1.06272 6.76317i 0.0812680 0.517193i
\(172\) 5.74407 + 4.77690i 0.437981 + 0.364235i
\(173\) −1.33696 + 2.31567i −0.101647 + 0.176057i −0.912363 0.409382i \(-0.865744\pi\)
0.810716 + 0.585439i \(0.199078\pi\)
\(174\) 1.02319 6.22179i 0.0775678 0.471672i
\(175\) 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
\(178\) −16.2803 19.3156i −1.22026 1.44776i
\(179\) −7.29346 + 4.21088i −0.545139 + 0.314736i −0.747159 0.664645i \(-0.768583\pi\)
0.202020 + 0.979381i \(0.435249\pi\)
\(180\) 16.7704 14.7447i 1.24999 1.09901i
\(181\) 6.12284i 0.455107i −0.973766 0.227553i \(-0.926927\pi\)
0.973766 0.227553i \(-0.0730726\pi\)
\(182\) −8.80619 + 10.0529i −0.652759 + 0.745174i
\(183\) 0.200806 0.568160i 0.0148440 0.0419996i
\(184\) −13.2133 + 0.0872854i −0.974101 + 0.00643477i
\(185\) 27.2099 15.7096i 2.00051 1.15500i
\(186\) −4.25337 11.2793i −0.311872 0.827041i
\(187\) −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 \(0.351037\pi\)
−0.998454 + 0.0555887i \(0.982296\pi\)
\(192\) 13.1243 + 4.44439i 0.947165 + 0.320746i
\(193\) −1.52962 2.64937i −0.110104 0.190706i 0.805708 0.592313i \(-0.201785\pi\)
−0.915812 + 0.401607i \(0.868452\pi\)
\(194\) 11.8176 + 4.27183i 0.848457 + 0.306699i
\(195\) −7.67263 + 21.7089i −0.549448 + 1.55461i
\(196\) 1.84299 + 13.8782i 0.131642 + 0.991297i
\(197\) 14.5736 1.03833 0.519163 0.854675i \(-0.326244\pi\)
0.519163 + 0.854675i \(0.326244\pi\)
\(198\) −9.51086 + 5.75911i −0.675908 + 0.409282i
\(199\) 15.0386 8.68255i 1.06606 0.615490i 0.138957 0.990298i \(-0.455625\pi\)
0.927102 + 0.374809i \(0.122292\pi\)
\(200\) −12.3744 + 21.7638i −0.875001 + 1.53893i
\(201\) −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
\(204\) −0.0102336 0.744698i −0.000716494 0.0521393i
\(205\) 2.93126 + 1.69236i 0.204728 + 0.118200i
\(206\) 6.84232 + 8.11799i 0.476727 + 0.565607i
\(207\) −2.17555 + 13.8453i −0.151211 + 0.962314i
\(208\) −14.0478 + 2.60479i −0.974042 + 0.180610i
\(209\) 5.98054i 0.413683i
\(210\) 11.8101 + 21.0305i 0.814974 + 1.45124i
\(211\) −21.2686 −1.46419 −0.732097 0.681201i \(-0.761458\pi\)
−0.732097 + 0.681201i \(0.761458\pi\)
\(212\) −0.719032 + 4.18554i −0.0493833 + 0.287464i
\(213\) 3.19239 + 17.1661i 0.218739 + 1.17620i
\(214\) −11.5130 13.6595i −0.787015 0.933744i
\(215\) −6.95114 + 12.0397i −0.474064 + 0.821103i
\(216\) 6.90355 12.9746i 0.469727 0.882812i
\(217\) 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
\(220\) 12.4730 14.9984i 0.840929 1.01119i
\(221\) 0.383964 + 0.665045i 0.0258282 + 0.0447357i
\(222\) 13.1084 15.9932i 0.879776 1.07339i
\(223\) 6.68788i 0.447854i 0.974606 + 0.223927i \(0.0718877\pi\)
−0.974606 + 0.223927i \(0.928112\pi\)
\(224\) −7.64405 + 12.8673i −0.510740 + 0.859735i
\(225\) 20.6571 + 16.6860i 1.37714 + 1.11240i
\(226\) 3.41580 9.44953i 0.227216 0.628574i
\(227\) −20.7637 + 11.9879i −1.37813 + 0.795666i −0.991935 0.126749i \(-0.959546\pi\)
−0.386199 + 0.922415i \(0.626212\pi\)
\(228\) 4.04633 + 6.79120i 0.267975 + 0.449758i
\(229\) 14.3077 + 8.26054i 0.945478 + 0.545872i 0.891673 0.452680i \(-0.149532\pi\)
0.0538045 + 0.998551i \(0.482865\pi\)
\(230\) −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 \(0.835937\pi\)
\(234\) 0.316337 + 15.1507i 0.0206796 + 0.990429i
\(235\) 2.18366 + 3.78221i 0.142446 + 0.246724i
\(236\) −15.4590 2.65569i −1.00629 0.172871i
\(237\) 6.47102 18.3091i 0.420338 1.18930i
\(238\) 0.789072 + 0.156495i 0.0511480 + 0.0101440i
\(239\) 20.5460 1.32901 0.664505 0.747284i \(-0.268642\pi\)
0.664505 + 0.747284i \(0.268642\pi\)
\(240\) −4.01606 + 25.4704i −0.259236 + 1.64411i
\(241\) −6.16667 10.6810i −0.397230 0.688023i 0.596153 0.802871i \(-0.296695\pi\)
−0.993383 + 0.114848i \(0.963362\pi\)
\(242\) 4.46813 3.76600i 0.287222 0.242088i
\(243\) −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
\(246\) 2.19814 + 0.361491i 0.140149 + 0.0230478i
\(247\) −7.05904 4.07554i −0.449156 0.259320i
\(248\) 12.1004 + 6.87997i 0.768374 + 0.436879i
\(249\) 2.96189 0.550825i 0.187702 0.0349071i
\(250\) −19.0644 6.89137i −1.20574 0.435848i
\(251\) 21.2978i 1.34430i −0.740413 0.672152i \(-0.765370\pi\)
0.740413 0.672152i \(-0.234630\pi\)
\(252\) 12.1567 + 10.2085i 0.765802 + 0.643077i
\(253\) 12.2431i 0.769719i
\(254\) 1.21678 3.36611i 0.0763473 0.211208i
\(255\) 1.36256 0.253396i 0.0853269 0.0158683i
\(256\) −14.9364 + 5.73631i −0.933522 + 0.358519i
\(257\) −13.2299 7.63828i −0.825258 0.476463i 0.0269684 0.999636i \(-0.491415\pi\)
−0.852226 + 0.523173i \(0.824748\pi\)
\(258\) −1.48477 + 9.02857i −0.0924379 + 0.562094i
\(259\) 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
\(262\) 5.31287 + 6.30339i 0.328230 + 0.389425i
\(263\) −0.249921 0.432876i −0.0154108 0.0266923i 0.858217 0.513287i \(-0.171572\pi\)
−0.873628 + 0.486594i \(0.838239\pi\)
\(264\) 4.19820 12.1329i 0.258381 0.746728i
\(265\) −7.90287 −0.485470
\(266\) −8.08396 + 2.74921i −0.495660 + 0.168565i
\(267\) 10.3098 29.1705i 0.630948 1.78521i
\(268\) 3.37763 19.6614i 0.206322 1.20101i
\(269\) −10.9207 18.9153i −0.665849 1.15328i −0.979054 0.203599i \(-0.934736\pi\)
0.313205 0.949685i \(-0.398597\pi\)
\(270\) 25.9707 + 8.57335i 1.58053 + 0.521757i
\(271\) 13.6308 + 7.86975i 0.828013 + 0.478053i 0.853172 0.521630i \(-0.174676\pi\)
−0.0251590 + 0.999683i \(0.508009\pi\)
\(272\) 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
\(276\) −8.28348 13.9027i −0.498607 0.836842i
\(277\) 10.8672 6.27417i 0.652945 0.376978i −0.136639 0.990621i \(-0.543630\pi\)
0.789584 + 0.613643i \(0.210297\pi\)
\(278\) 10.0272 + 3.62461i 0.601389 + 0.217389i
\(279\) 9.27718 11.4850i 0.555411 0.687590i
\(280\) −26.0072 9.96525i −1.55423 0.595538i
\(281\) 22.7512i 1.35722i 0.734498 + 0.678610i \(0.237418\pi\)
−0.734498 + 0.678610i \(0.762582\pi\)
\(282\) 2.22307 + 1.82208i 0.132382 + 0.108503i
\(283\) 0.440379 + 0.762759i 0.0261778 + 0.0453413i 0.878818 0.477158i \(-0.158333\pi\)
−0.852640 + 0.522499i \(0.825000\pi\)
\(284\) −15.5015 12.8914i −0.919848 0.764966i
\(285\) −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
\(288\) 3.44164 + 16.6179i 0.202800 + 0.979220i
\(289\) −8.47689 + 14.6824i −0.498640 + 0.863671i
\(290\) −10.3597 + 8.73176i −0.608342 + 0.512747i
\(291\) 2.81388 + 15.1308i 0.164952 + 0.886981i
\(292\) −3.01488 + 17.5498i −0.176433 + 1.02703i
\(293\) −22.1280 −1.29273 −0.646366 0.763028i \(-0.723712\pi\)
−0.646366 + 0.763028i \(0.723712\pi\)
\(294\) −13.5165 + 10.5501i −0.788298 + 0.615294i
\(295\) 29.1887i 1.69943i
\(296\) 0.157729 + 23.8772i 0.00916784 + 1.38784i
\(297\) −11.9792 6.47577i −0.695101 0.375762i
\(298\) −15.9763 + 13.4657i −0.925480 + 0.780049i
\(299\) 14.4510 + 8.34329i 0.835723 + 0.482505i
\(300\) −30.6595 + 0.421321i −1.77013 + 0.0243250i
\(301\) −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
\(304\) −8.60487 3.04636i −0.493523 0.174721i
\(305\) −1.12137 + 0.647422i −0.0642094 + 0.0370713i
\(306\) 0.780253 0.472466i 0.0446041 0.0270091i
\(307\) 9.96754 0.568878 0.284439 0.958694i \(-0.408193\pi\)
0.284439 + 0.958694i \(0.408193\pi\)
\(308\) 11.8752 + 7.16121i 0.676653 + 0.408048i
\(309\) −4.33301 + 12.2598i −0.246496 + 0.697438i
\(310\) −8.80556 + 24.3598i −0.500122 + 1.38355i
\(311\) −5.87187 10.1704i −0.332963 0.576709i 0.650128 0.759825i \(-0.274715\pi\)
−0.983091 + 0.183115i \(0.941382\pi\)
\(312\) −11.4599 13.2234i −0.648792 0.748630i
\(313\) −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 \(0.541867\pi\)
−0.792970 + 0.609261i \(0.791466\pi\)
\(318\) −4.86678 + 1.83523i −0.272915 + 0.102915i
\(319\) 5.84224 3.37302i 0.327103 0.188853i
\(320\) −15.2264 25.5862i −0.851180 1.43031i
\(321\) 7.29082 20.6287i 0.406934 1.15138i
\(322\) 16.5492 5.62807i 0.922249 0.313640i
\(323\) 0.490632i 0.0272995i
\(324\) 17.9843 0.751331i 0.999128 0.0417406i
\(325\) 27.3802 15.8079i 1.51878 0.876867i
\(326\) 1.63563 1.37861i 0.0905893 0.0763540i
\(327\) −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
\(330\) 23.5746 + 3.87690i 1.29774 + 0.213416i
\(331\) −0.833276 + 1.44328i −0.0458010 + 0.0793297i −0.888017 0.459810i \(-0.847917\pi\)
0.842216 + 0.539140i \(0.181251\pi\)
\(332\) −2.22433 + 2.67469i −0.122076 + 0.146793i
\(333\) 25.0192 + 3.93134i 1.37104 + 0.215436i
\(334\) 9.59836 + 3.46960i 0.525199 + 0.189848i
\(335\) 37.1235 2.02827
\(336\) −18.3300 0.0973507i −0.999986 0.00531091i
\(337\) 9.04814 0.492884 0.246442 0.969158i \(-0.420739\pi\)
0.246442 + 0.969158i \(0.420739\pi\)
\(338\) −0.321976 0.116388i −0.0175132 0.00633065i
\(339\) 12.0987 2.25001i 0.657113 0.122204i
\(340\) −1.02326 + 1.23044i −0.0554941 + 0.0667299i
\(341\) 6.44858 11.1693i 0.349210 0.604849i
\(342\) −4.66488 + 8.48402i −0.252248 + 0.458763i
\(343\) −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
\(346\) 2.89142 2.43706i 0.155444 0.131017i
\(347\) 4.59168 2.65101i 0.246494 0.142313i −0.371664 0.928367i \(-0.621213\pi\)
0.618158 + 0.786054i \(0.287879\pi\)
\(348\) −4.35203 + 7.78299i −0.233293 + 0.417212i
\(349\) 10.7938i 0.577779i 0.957362 + 0.288890i \(0.0932861\pi\)
−0.957362 + 0.288890i \(0.906714\pi\)
\(350\) 6.44295 32.4864i 0.344390 1.73647i
\(351\) −15.8070 + 9.72640i −0.843714 + 0.519157i
\(352\) 5.22345 + 13.8741i 0.278411 + 0.739493i
\(353\) 24.5717 14.1865i 1.30782 0.755071i 0.326089 0.945339i \(-0.394269\pi\)
0.981732 + 0.190268i \(0.0609357\pi\)
\(354\) −6.77829 17.9751i −0.360262 0.955365i
\(355\) 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 −0.864473 0.502680i \(-0.832347\pi\)
0.867570 + 0.497315i \(0.165681\pi\)
\(360\) −29.3931 + 11.5477i −1.54915 + 0.608619i
\(361\) 6.89612 + 11.9444i 0.362954 + 0.628654i
\(362\) −2.94363 + 8.14330i −0.154714 + 0.428002i
\(363\) 6.74780 + 2.38489i 0.354168 + 0.125174i
\(364\) 16.5452 9.13661i 0.867204 0.478888i
\(365\) −33.1365 −1.73444
\(366\) −0.540219 + 0.659106i −0.0282377 + 0.0344520i
\(367\) −7.31080 + 4.22089i −0.381621 + 0.220329i −0.678523 0.734579i \(-0.737380\pi\)
0.296902 + 0.954908i \(0.404046\pi\)
\(368\) 17.6156 + 6.23639i 0.918274 + 0.325094i
\(369\) 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
\(372\) 0.234248 + 17.0462i 0.0121452 + 0.883806i
\(373\) −0.0783826 0.0452542i −0.00405850 0.00234318i 0.497969 0.867195i \(-0.334079\pi\)
−0.502028 + 0.864851i \(0.667413\pi\)
\(374\) 0.609270 0.513529i 0.0315046 0.0265539i
\(375\) −4.53939 24.4092i −0.234413 1.26048i
\(376\) −3.31896 + 0.0219246i −0.171162 + 0.00113067i
\(377\) 9.19441i 0.473536i
\(378\) −3.24664 + 19.1692i −0.166989 + 0.985959i
\(379\) −19.7881 −1.01645 −0.508224 0.861225i \(-0.669698\pi\)
−0.508224 + 0.861225i \(0.669698\pi\)
\(380\) 2.87597 16.7412i 0.147534 0.858808i
\(381\) 4.30981 0.801498i 0.220798 0.0410620i
\(382\) 16.3603 13.7894i 0.837065 0.705528i
\(383\) 12.4851 21.6249i 0.637961 1.10498i −0.347919 0.937525i \(-0.613112\pi\)
0.985880 0.167456i \(-0.0535551\pi\)
\(384\) −15.3185 12.2207i −0.781718 0.623633i
\(385\) −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
\(388\) −13.6636 11.3630i −0.693664 0.576867i
\(389\) −15.0483 26.0644i −0.762979 1.32152i −0.941308 0.337548i \(-0.890403\pi\)
0.178329 0.983971i \(-0.442931\pi\)
\(390\) 20.6413 25.1839i 1.04522 1.27524i
\(391\) 1.00440i 0.0507948i
\(392\) 4.22095 19.3438i 0.213190 0.977011i
\(393\) −3.36446 + 9.51942i −0.169715 + 0.480191i
\(394\) −19.3827 7.00644i −0.976487 0.352979i
\(395\) −36.1364 + 20.8634i −1.81822 + 1.04975i
\(396\) 15.4181 3.08708i 0.774788 0.155131i
\(397\) −4.91661 2.83861i −0.246758 0.142466i 0.371521 0.928425i \(-0.378836\pi\)
−0.618279 + 0.785959i \(0.712170\pi\)
\(398\) −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 \(0.674905\pi\)
\(402\) 22.8615 8.62094i 1.14023 0.429973i
\(403\) −8.78898 15.2230i −0.437810 0.758310i
\(404\) −5.00290 + 29.1222i −0.248904 + 1.44889i
\(405\) 7.04417 + 32.7467i 0.350028 + 1.62720i
\(406\) −7.24499 6.34648i −0.359563 0.314970i
\(407\) 22.1240 1.09664
\(408\) −0.344412 + 0.995359i −0.0170509 + 0.0492776i
\(409\) 1.83983 + 3.18669i 0.0909739 + 0.157571i 0.907921 0.419141i \(-0.137669\pi\)
−0.816947 + 0.576712i \(0.804335\pi\)
\(410\) −3.08491 3.66006i −0.152353 0.180757i
\(411\) 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
\(414\) 9.54975 17.3682i 0.469345 0.853598i
\(415\) −5.60623 3.23676i −0.275199 0.158886i
\(416\) 19.9357 + 3.28933i 0.977430 + 0.161273i
\(417\) 2.38755 + 12.8383i 0.116919 + 0.628695i
\(418\) −2.87522 + 7.95404i −0.140631 + 0.389045i
\(419\) 9.81445i 0.479467i −0.970839 0.239734i \(-0.922940\pi\)
0.970839 0.239734i \(-0.0770601\pi\)
\(420\) −5.59660 33.6482i −0.273086 1.64186i
\(421\) 33.0188i 1.60924i −0.593790 0.804620i \(-0.702369\pi\)
0.593790 0.804620i \(-0.297631\pi\)
\(422\) 28.2870 + 10.2252i 1.37699 + 0.497753i
\(423\) −0.546461 + 3.47770i −0.0265698 + 0.169091i
\(424\) 2.96855 5.22103i 0.144166 0.253556i
\(425\) −1.64807 0.951516i −0.0799433 0.0461553i
\(426\) 4.00696 24.3654i 0.194138 1.18051i
\(427\) −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
\(430\) 15.0332 12.6708i 0.724964 0.611042i
\(431\) 5.27304 + 9.13317i 0.253993 + 0.439929i 0.964622 0.263638i \(-0.0849226\pi\)
−0.710628 + 0.703568i \(0.751589\pi\)
\(432\) −15.4193 + 13.9371i −0.741864 + 0.670551i
\(433\) 13.7135 0.659026 0.329513 0.944151i \(-0.393115\pi\)
0.329513 + 0.944151i \(0.393115\pi\)
\(434\) −18.0620 3.58219i −0.867003 0.171950i
\(435\) −15.6453 5.52953i −0.750133 0.265121i
\(436\) 25.5544 + 4.38999i 1.22384 + 0.210242i
\(437\) 5.33056 + 9.23280i 0.254995 + 0.441665i
\(438\) −20.4063 + 7.69507i −0.975049 + 0.367685i
\(439\) 8.62149 + 4.97762i 0.411481 + 0.237569i 0.691426 0.722447i \(-0.256983\pi\)
−0.279945 + 0.960016i \(0.590316\pi\)
\(440\) −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 \(0.668432\pi\)
\(444\) −25.1229 + 14.9687i −1.19228 + 0.710383i
\(445\) −57.5734 + 33.2400i −2.72924 + 1.57573i
\(446\) 3.21528 8.89480i 0.152248 0.421181i
\(447\) −24.1275 8.52740i −1.14119 0.403332i
\(448\) 16.3526 13.4384i 0.772589 0.634906i
\(449\) 5.83932i 0.275575i −0.990462 0.137787i \(-0.956001\pi\)
0.990462 0.137787i \(-0.0439990\pi\)
\(450\) −19.4516 32.1234i −0.916958 1.51431i
\(451\) 1.19168 + 2.06405i 0.0561141 + 0.0971924i
\(452\) −9.08596 + 10.9256i −0.427367 + 0.513896i
\(453\) 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
\(456\) −2.11661 10.9775i −0.0991196 0.514070i
\(457\) 8.93416 15.4744i 0.417923 0.723863i −0.577808 0.816173i \(-0.696092\pi\)
0.995730 + 0.0923098i \(0.0294250\pi\)
\(458\) −15.0577 17.8650i −0.703599 0.834777i
\(459\) 0.982747 + 0.531260i 0.0458707 + 0.0247971i
\(460\) −5.88758 + 34.2720i −0.274510 + 1.59794i
\(461\) 0.400330 0.0186452 0.00932262 0.999957i \(-0.497032\pi\)
0.00932262 + 0.999957i \(0.497032\pi\)
\(462\) −0.202388 + 16.9828i −0.00941595 + 0.790110i
\(463\) 29.4293i 1.36769i 0.729626 + 0.683847i \(0.239694\pi\)
−0.729626 + 0.683847i \(0.760306\pi\)
\(464\) −1.87723 10.1240i −0.0871481 0.469997i
\(465\) −31.1892 + 5.80028i −1.44637 + 0.268982i
\(466\) 14.1089 + 16.7393i 0.653580 + 0.775433i
\(467\) −6.75074 3.89754i −0.312387 0.180357i 0.335607 0.942002i \(-0.391059\pi\)
−0.647994 + 0.761645i \(0.724392\pi\)
\(468\) 6.86314 20.3023i 0.317249 0.938473i
\(469\) 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
\(472\) 19.2835 + 10.9641i 0.887595 + 0.504665i
\(473\) −8.47781 + 4.89466i −0.389810 + 0.225057i
\(474\) −17.4087 + 21.2399i −0.799609 + 0.975580i
\(475\) 20.1995 0.926818
\(476\) −0.974220 0.587492i −0.0446533 0.0269277i
\(477\) −4.95553 4.00290i −0.226898 0.183280i
\(478\) −27.3259 9.87774i −1.24986 0.451797i
\(479\) 19.3422 + 33.5016i 0.883765 + 1.53073i 0.847122 + 0.531398i \(0.178333\pi\)
0.0366434 + 0.999328i \(0.488333\pi\)
\(480\) 17.5865 31.9446i 0.802711 1.45806i
\(481\) 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
\(486\) 11.9425 + 18.5304i 0.541724 + 0.840556i
\(487\) −8.63096 + 4.98308i −0.391106 + 0.225805i −0.682639 0.730756i \(-0.739168\pi\)
0.291533 + 0.956561i \(0.405835\pi\)
\(488\) −0.00650031 0.984023i −0.000294255 0.0445446i
\(489\) 2.47014 + 0.873026i 0.111704 + 0.0394796i
\(490\) 36.8067 + 1.64672i 1.66276 + 0.0743911i
\(491\) 15.5075i 0.699845i 0.936779 + 0.349923i \(0.113792\pi\)
−0.936779 + 0.349923i \(0.886208\pi\)
\(492\) −2.74971 1.53756i −0.123967 0.0693187i
\(493\) −0.479286 + 0.276716i −0.0215860 + 0.0124627i
\(494\) 7.42908 + 8.81414i 0.334250 + 0.396567i
\(495\) 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
\(498\) −4.20410 0.691375i −0.188390 0.0309813i
\(499\) −0.275544 + 0.477256i −0.0123350 + 0.0213649i −0.872127 0.489279i \(-0.837260\pi\)
0.859792 + 0.510644i \(0.170593\pi\)
\(500\) 22.0423 + 18.3309i 0.985762 + 0.819782i
\(501\) 2.28545 + 12.2893i 0.102106 + 0.549045i
\(502\) −10.2392 + 28.3258i −0.456997 + 1.26424i
\(503\) −32.2097 −1.43616 −0.718079 0.695962i \(-0.754978\pi\)
−0.718079 + 0.695962i \(0.754978\pi\)
\(504\) −11.2604 19.4217i −0.501579 0.865112i
\(505\) −54.9868 −2.44688
\(506\) 5.88603 16.2832i 0.261666 0.723877i
\(507\) −0.0766652 0.412243i −0.00340482 0.0183084i
\(508\) −3.23660 + 3.89190i −0.143601 + 0.172675i
\(509\) 0.906135 1.56947i 0.0401637 0.0695656i −0.845245 0.534379i \(-0.820545\pi\)
0.885408 + 0.464814i \(0.153879\pi\)
\(510\) −1.93401 0.318054i −0.0856395 0.0140836i
\(511\) −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
\(514\) 13.9234 + 16.5193i 0.614135 + 0.728633i
\(515\) 24.1970 13.9702i 1.06625 0.615599i
\(516\) 6.31532 11.2941i 0.278017 0.497194i
\(517\) 3.07526i 0.135250i
\(518\) −10.1702 29.9052i −0.446854 1.31396i
\(519\) 4.36664 + 1.54331i 0.191674 + 0.0677438i
\(520\) 0.248372 + 37.5987i 0.0108918 + 1.64881i
\(521\) 6.65560 3.84261i 0.291587 0.168348i −0.347070 0.937839i \(-0.612823\pi\)
0.638657 + 0.769491i \(0.279490\pi\)
\(522\) −10.9188 + 0.227978i −0.477904 + 0.00997835i
\(523\) −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
\(528\) −11.4166 + 14.1183i −0.496843 + 0.614418i
\(529\) 0.587489 + 1.01756i 0.0255430 + 0.0442417i
\(530\) 10.5107 + 3.79940i 0.456557 + 0.165035i
\(531\) 14.7844 18.3029i 0.641588 0.794277i
\(532\) 12.0733 + 0.230048i 0.523444 + 0.00997385i
\(533\) 3.24837 0.140702
\(534\) −27.7360 + 33.8399i −1.20025 + 1.46439i
\(535\) −40.7145 + 23.5065i −1.76024 + 1.01627i
\(536\) −13.9447 + 24.5256i −0.602318 + 1.05935i
\(537\) 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
\(540\) −30.4190 23.8882i −1.30902 1.02798i
\(541\) −10.0751 5.81687i −0.433163 0.250087i 0.267530 0.963549i \(-0.413792\pi\)
−0.700693 + 0.713463i \(0.747126\pi\)
\(542\) −14.3453 17.0199i −0.616185 0.731065i
\(543\) −10.4263 + 1.93899i −0.447435 + 0.0832098i
\(544\) −0.428522 1.13821i −0.0183727 0.0488002i
\(545\) 48.2503i 2.06681i
\(546\) 19.9075 + 11.8121i 0.851960 + 0.505511i
\(547\) −27.7574 −1.18682 −0.593410 0.804900i \(-0.702219\pi\)
−0.593410 + 0.804900i \(0.702219\pi\)
\(548\) −18.5535 3.18730i −0.792566 0.136155i
\(549\) −1.03109 0.162017i −0.0440056 0.00691473i
\(550\) −21.1422 25.0839i −0.901506 1.06958i
\(551\) 2.93717 5.08733i 0.125128 0.216728i
\(552\) 4.33305 + 22.4728i 0.184427 + 0.956504i
\(553\) −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
\(556\) −11.5934 9.64136i −0.491671 0.408885i
\(557\) 7.71096 + 13.3558i 0.326724 + 0.565902i 0.981860 0.189609i \(-0.0607220\pi\)
−0.655136 + 0.755511i \(0.727389\pi\)
\(558\) −17.8601 + 10.8148i −0.756079 + 0.457828i
\(559\) 13.3422i 0.564315i
\(560\) 29.7984 + 25.7570i 1.25921 + 1.08843i
\(561\) 0.920124 + 0.325201i 0.0388476 + 0.0137300i
\(562\) 10.9379 30.2588i 0.461388 1.27639i
\(563\) 11.5626 6.67567i 0.487305 0.281346i −0.236151 0.971716i \(-0.575886\pi\)
0.723456 + 0.690371i \(0.242553\pi\)
\(564\) −2.08067 3.49211i −0.0876119 0.147044i
\(565\) −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 \(-0.736735\pi\)
\(570\) 19.4661 7.34053i 0.815344 0.307461i
\(571\) 20.3243 + 35.2028i 0.850546 + 1.47319i 0.880716 + 0.473645i \(0.157062\pi\)
−0.0301698 + 0.999545i \(0.509605\pi\)
\(572\) 3.16969 18.4510i 0.132531 0.771473i
\(573\) 24.7074 + 8.73238i 1.03217 + 0.364800i
\(574\) 2.24220 2.55964i 0.0935875 0.106837i
\(575\) −41.3517 −1.72448
\(576\) 3.41193 23.7562i 0.142164 0.989843i
\(577\) −8.50680 14.7342i −0.354143 0.613393i 0.632828 0.774292i \(-0.281894\pi\)
−0.986971 + 0.160899i \(0.948561\pi\)
\(578\) 18.3329 15.4520i 0.762548 0.642720i
\(579\) −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
\(582\) 3.53187 21.4765i 0.146401 0.890231i
\(583\) −4.81928 2.78241i −0.199594 0.115236i
\(584\) 12.4471 21.8916i 0.515063 0.905882i
\(585\) 39.3970 + 6.19056i 1.62886 + 0.255948i
\(586\) 29.4300 + 10.6383i 1.21574 + 0.439464i
\(587\) 28.5925i 1.18014i 0.807352 + 0.590070i \(0.200900\pi\)
−0.807352 + 0.590070i \(0.799100\pi\)
\(588\) 23.0489 7.53329i 0.950519 0.310668i
\(589\) 11.2306i 0.462750i
\(590\) −14.0328 + 38.8206i −0.577722 + 1.59822i
\(591\) −4.61518 24.8167i −0.189843 1.02082i
\(592\) 11.2695 31.8322i 0.463173 1.30830i
\(593\) −4.49943 2.59775i −0.184770 0.106677i 0.404762 0.914422i \(-0.367354\pi\)
−0.589532 + 0.807745i \(0.700688\pi\)
\(594\) 12.8188 + 14.3718i 0.525963 + 0.589683i
\(595\) 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
\(598\) −15.2085 18.0440i −0.621922 0.737872i
\(599\) 22.7140 + 39.3418i 0.928069 + 1.60746i 0.786550 + 0.617527i \(0.211865\pi\)
0.141519 + 0.989936i \(0.454801\pi\)
\(600\) 40.9793 + 14.1796i 1.67297 + 0.578879i
\(601\) 45.5994 1.86004 0.930019 0.367511i \(-0.119790\pi\)
0.930019 + 0.367511i \(0.119790\pi\)
\(602\) 10.5134 + 9.20951i 0.428493 + 0.375352i
\(603\) 23.2784 + 18.8035i 0.947970 + 0.765736i
\(604\) −7.25447 1.24624i −0.295180 0.0507089i
\(605\) −7.68917 13.3180i −0.312609 0.541455i
\(606\) −33.8622 + 12.7692i −1.37556 + 0.518714i
\(607\) −18.3382 10.5876i −0.744324 0.429736i 0.0793155 0.996850i \(-0.474727\pi\)
−0.823639 + 0.567114i \(0.808060\pi\)
\(608\) 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
\(612\) −1.26487 + 0.253258i −0.0511294 + 0.0102373i
\(613\) 22.2592 12.8513i 0.899039 0.519060i 0.0221508 0.999755i \(-0.492949\pi\)
0.876888 + 0.480694i \(0.159615\pi\)
\(614\) −13.2567 4.79202i −0.534997 0.193390i
\(615\) 1.95357 5.52744i 0.0787756 0.222888i
\(616\) −12.3511 15.2335i −0.497638 0.613775i
\(617\) 16.9888i 0.683941i −0.939711 0.341971i \(-0.888906\pi\)
0.939711 0.341971i \(-0.111094\pi\)
\(618\) 11.6569 14.2223i 0.468910 0.572104i
\(619\) −11.6456 20.1708i −0.468076 0.810732i 0.531258 0.847210i \(-0.321719\pi\)
−0.999334 + 0.0364781i \(0.988386\pi\)
\(620\) 23.4226 28.1649i 0.940674 1.13113i
\(621\) 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
\(624\) 8.88426 + 23.0965i 0.355655 + 0.924601i
\(625\) −4.54562 + 7.87325i −0.181825 + 0.314930i
\(626\) 0.742927 0.626183i 0.0296933 0.0250273i
\(627\) −10.1840 + 1.89392i −0.406709 + 0.0756360i
\(628\) −42.3323 7.27225i −1.68924 0.290194i
\(629\) −1.81501 −0.0723691
\(630\) 32.0719 26.7709i 1.27778 1.06658i
\(631\) 15.0554i 0.599347i −0.954042 0.299674i \(-0.903122\pi\)
0.954042 0.299674i \(-0.0968778\pi\)
\(632\) −0.209474 31.7104i −0.00833244 1.26137i
\(633\) 6.73537 + 36.2174i 0.267707 + 1.43951i
\(634\) 35.5838 29.9922i 1.41321 1.19114i
\(635\) −8.15754 4.70976i −0.323722 0.186901i
\(636\) 7.35507 0.101073i 0.291647 0.00400780i
\(637\) −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
\(640\) 7.95004 + 41.3496i 0.314253 + 1.63448i
\(641\) 22.9318 13.2397i 0.905752 0.522936i 0.0266904 0.999644i \(-0.491503\pi\)
0.879062 + 0.476707i \(0.158170\pi\)
\(642\) −19.6142 + 23.9307i −0.774110 + 0.944470i
\(643\) −29.9973 −1.18298 −0.591490 0.806312i \(-0.701460\pi\)
−0.591490 + 0.806312i \(0.701460\pi\)
\(644\) −24.7160 0.470946i −0.973945 0.0185579i
\(645\) 22.7032 + 8.02403i 0.893937 + 0.315946i
\(646\) 0.235877 0.652534i 0.00928047 0.0256736i
\(647\) −9.22707 15.9817i −0.362753 0.628307i 0.625659 0.780096i \(-0.284830\pi\)
−0.988413 + 0.151789i \(0.951497\pi\)
\(648\) −24.2801 7.64692i −0.953814 0.300399i
\(649\) 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 −0.635761 0.771886i \(-0.719314\pi\)
0.986353 + 0.164643i \(0.0526470\pi\)
\(654\) 11.2048 + 29.7137i 0.438144 + 1.16190i
\(655\) 18.7883 10.8474i 0.734121 0.423845i
\(656\) 3.57680 0.663221i 0.139651 0.0258944i
\(657\) −20.7784 16.7840i −0.810642 0.654807i
\(658\) 4.15686 1.41367i 0.162051 0.0551108i
\(659\) 30.7250i 1.19687i 0.801170 + 0.598437i \(0.204211\pi\)
−0.801170 + 0.598437i \(0.795789\pi\)
\(660\) −29.4900 16.4900i −1.14790 0.641872i
\(661\) 13.0311 7.52352i 0.506852 0.292631i −0.224687 0.974431i \(-0.572136\pi\)
0.731539 + 0.681800i \(0.238803\pi\)
\(662\) 1.80212 1.51893i 0.0700414 0.0590350i
\(663\) 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
\(666\) −31.3852 17.2569i −1.21615 0.668692i
\(667\) −6.01287 + 10.4146i −0.232819 + 0.403254i
\(668\) −11.0976 9.22905i −0.429381 0.357083i
\(669\) 11.3885 2.11793i 0.440304 0.0818837i
\(670\) −49.3738 17.8476i −1.90747 0.689511i
\(671\) −0.911768 −0.0351984
\(672\) 24.3319 + 8.94187i 0.938625 + 0.344940i
\(673\) 20.6079 0.794376 0.397188 0.917737i \(-0.369986\pi\)
0.397188 + 0.917737i \(0.369986\pi\)
\(674\) −12.0339 4.35000i −0.463529 0.167556i
\(675\) 21.8722 40.4601i 0.841861 1.55731i
\(676\) 0.372270 + 0.309588i 0.0143181 + 0.0119072i
\(677\) −5.13682 + 8.89723i −0.197424 + 0.341948i −0.947692 0.319185i \(-0.896591\pi\)
0.750268 + 0.661133i \(0.229924\pi\)
\(678\) −17.1729 2.82413i −0.659521 0.108460i
\(679\) 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
\(682\) −13.9463 + 11.7547i −0.534031 + 0.450113i
\(683\) 30.7725 17.7665i 1.17748 0.679817i 0.222048 0.975036i \(-0.428726\pi\)
0.955430 + 0.295218i \(0.0953924\pi\)
\(684\) 10.2830 9.04095i 0.393181 0.345689i
\(685\) 35.0316i 1.33849i
\(686\) 2.78068 + 26.0436i 0.106167 + 0.994348i
\(687\) 9.53553 26.9798i 0.363803 1.02935i
\(688\) 2.72409 + 14.6912i 0.103855 + 0.560097i
\(689\) −6.56837 + 3.79225i −0.250235 + 0.144473i
\(690\) −39.8502 + 15.0272i −1.51707 + 0.572077i
\(691\) 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
\(696\) 9.52991 8.25899i 0.361230 0.313056i
\(697\) −0.0977632 0.169331i −0.00370305 0.00641386i
\(698\) 5.18926 14.3556i 0.196416 0.543369i
\(699\) −8.93467 + 25.2798i −0.337940 + 0.956169i
\(700\) −24.1873 + 40.1090i −0.914194 + 1.51598i
\(701\) 42.6496 1.61085 0.805426 0.592696i \(-0.201937\pi\)
0.805426 + 0.592696i \(0.201937\pi\)
\(702\) 25.6992 5.33660i 0.969953 0.201417i
\(703\) 16.6842 9.63261i 0.629255 0.363301i
\(704\) −0.276978 20.9637i −0.0104390 0.790097i
\(705\) 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
\(708\) 0.373305 + 27.1654i 0.0140297 + 1.02094i
\(709\) 24.7114 + 14.2671i 0.928054 + 0.535812i 0.886196 0.463311i \(-0.153339\pi\)
0.0418586 + 0.999124i \(0.486672\pi\)
\(710\) −40.5701 + 34.1949i −1.52257 + 1.28331i
\(711\) −33.2270 5.22106i −1.24611 0.195805i
\(712\) −0.333739 50.5218i −0.0125074 1.89338i
\(713\) 22.9909i 0.861017i
\(714\) 0.0166035 1.39323i 0.000621372 0.0521405i
\(715\) 34.8380 1.30287
\(716\) −16.6004 2.85177i −0.620385 0.106576i
\(717\) −6.50653 34.9869i −0.242991 1.30661i
\(718\) −0.126918 + 0.106974i −0.00473653 + 0.00399223i
\(719\) −25.0072 + 43.3138i −0.932612 + 1.61533i −0.153775 + 0.988106i \(0.549143\pi\)
−0.778837 + 0.627226i \(0.784190\pi\)
\(720\) 44.6442 1.22723i 1.66379 0.0457361i
\(721\) 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
\(724\) 7.82998 9.41530i 0.290999 0.349917i
\(725\) 11.3925 + 19.7324i 0.423108 + 0.732844i
\(726\) −7.82793 6.41596i −0.290522 0.238118i
\(727\) 27.7338i 1.02859i 0.857614 + 0.514295i \(0.171946\pi\)
−0.857614 + 0.514295i \(0.828054\pi\)
\(728\) −26.3975 + 4.19727i −0.978355 + 0.155561i
\(729\) −12.1695 + 24.1019i −0.450723 + 0.892664i
\(730\) 44.0712 + 15.9308i 1.63115 + 0.589625i
\(731\) 0.695503 0.401549i 0.0257241 0.0148518i
\(732\) 1.03536 0.616886i 0.0382679 0.0228008i
\(733\) 24.4018 + 14.0884i 0.901300 + 0.520366i 0.877622 0.479354i \(-0.159129\pi\)
0.0236782 + 0.999720i \(0.492462\pi\)
\(734\) 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
\(738\) −0.0805443 3.85760i −0.00296488 0.142000i
\(739\) 15.9133 + 27.5626i 0.585379 + 1.01391i 0.994828 + 0.101573i \(0.0323876\pi\)
−0.409449 + 0.912333i \(0.634279\pi\)
\(740\) 61.9314 + 10.6392i 2.27664 + 0.391104i
\(741\) −4.70459 + 13.3112i −0.172827 + 0.488998i
\(742\) −1.54563 + 7.79334i −0.0567420 + 0.286102i
\(743\) −30.9943 −1.13707 −0.568535 0.822659i \(-0.692490\pi\)
−0.568535 + 0.822659i \(0.692490\pi\)
\(744\) 7.88364 22.7839i 0.289028 0.835299i
\(745\) 27.4934 + 47.6200i 1.00728 + 1.74466i
\(746\) 0.0824914 + 0.0978710i 0.00302023 + 0.00358331i
\(747\) −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
\(750\) −5.69767 + 34.6462i −0.208049 + 1.26510i
\(751\) −32.0364 18.4962i −1.16902 0.674936i −0.215574 0.976488i \(-0.569162\pi\)
−0.953450 + 0.301551i \(0.902496\pi\)
\(752\) 4.42472 + 1.56647i 0.161353 + 0.0571234i
\(753\) −36.2670 + 6.74460i −1.32164 + 0.245787i
\(754\) −4.42032 + 12.2285i −0.160979 + 0.445334i
\(755\) 13.6974i 0.498501i
\(756\) 13.5338 23.9340i 0.492221 0.870470i
\(757\) 2.01191i 0.0731242i −0.999331 0.0365621i \(-0.988359\pi\)
0.999331 0.0365621i \(-0.0116407\pi\)
\(758\) 26.3180 + 9.51339i 0.955912 + 0.345542i
\(759\) 20.8483 3.87716i 0.756744 0.140732i
\(760\) −11.8736 + 20.8830i −0.430700 + 0.757506i
\(761\) −35.5006 20.4963i −1.28689 0.742989i −0.308795 0.951129i \(-0.599926\pi\)
−0.978099 + 0.208140i \(0.933259\pi\)
\(762\) −6.11732 1.00601i −0.221607 0.0364439i
\(763\) −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
\(766\) −27.0015 + 22.7585i −0.975604 + 0.822297i
\(767\) −14.0064 24.2598i −0.505741 0.875970i
\(768\) 14.4982 + 23.6179i 0.523157 + 0.852236i
\(769\) −46.8470 −1.68935 −0.844673 0.535282i \(-0.820205\pi\)
−0.844673 + 0.535282i \(0.820205\pi\)
\(770\) 24.0470 27.4515i 0.866595 0.989284i
\(771\) −8.81723 + 24.9475i −0.317545 + 0.898461i
\(772\) 1.03591 6.03013i 0.0372834 0.217029i
\(773\) 11.2358 + 19.4611i 0.404125 +