Properties

Label 168.2.v.a.11.3
Level $168$
Weight $2$
Character 168.11
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 11.3
Character \(\chi\) \(=\) 168.11
Dual form 168.2.v.a.107.3

$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(-1\) \(-1\)

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 −0.896282 0.443485i \(-0.853742\pi\)
0.0640716 0.997945i \(-0.479591\pi\)
\(6\) −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 0.117171 0.993112i \(-0.462618\pi\)
−0.801475 + 0.598029i \(0.795951\pi\)
\(12\) 1.69067 + 3.02352i 0.488053 + 0.872814i
\(13\) 3.57182i 0.990645i −0.868709 0.495323i \(-0.835050\pi\)
0.868709 0.495323i \(-0.164950\pi\)
\(14\) 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 0.522409 0.852695i \(-0.325033\pi\)
−0.477251 + 0.878767i \(0.658367\pi\)
\(18\) 4.24172 + 0.0885645i 0.999782 + 0.0208749i
\(19\) −1.14103 1.97631i −0.261769 0.453398i 0.704943 0.709264i \(-0.250973\pi\)
−0.966712 + 0.255866i \(0.917639\pi\)
\(20\) −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 \(-0.00473557\pi\)
−0.512828 + 0.858491i \(0.671402\pi\)
\(24\) −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 0.0657857 0.997834i \(-0.479045\pi\)
−0.831257 + 0.555889i \(0.812378\pi\)
\(32\) 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 −0.960983 0.276606i \(-0.910790\pi\)
−0.240944 + 0.970539i \(0.577457\pi\)
\(38\) 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 \(0.0226240\pi\)
−0.997475 + 0.0710155i \(0.977376\pi\)
\(42\) 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 0.905640 0.424048i \(-0.139391\pi\)
−0.820056 + 0.572283i \(0.806058\pi\)
\(48\) 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 −0.783848 0.620953i \(-0.786746\pi\)
0.929685 + 0.368355i \(0.120079\pi\)
\(54\) −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 −0.0121872 0.999926i \(-0.503879\pi\)
−0.872055 + 0.489408i \(0.837213\pi\)
\(60\) 6.59908 11.0756i 0.851938 1.42986i
\(61\) 0.301301 0.173956i 0.0385776 0.0222728i −0.480587 0.876947i \(-0.659576\pi\)
0.519165 + 0.854674i \(0.326243\pi\)
\(62\) 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 0.382053 + 0.924140i \(0.375217\pi\)
−0.991356 + 0.131203i \(0.958116\pi\)
\(68\) 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 −0.478665 0.877998i \(-0.658879\pi\)
0.999701 0.0244626i \(-0.00778746\pi\)
\(74\) 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 0.158189 0.987409i \(-0.449434\pi\)
0.934216 + 0.356709i \(0.116101\pi\)
\(80\) −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 \(-0.969568\pi\)
0.995433 0.0954603i \(-0.0304323\pi\)
\(84\) −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 0.658837 0.752286i \(-0.271049\pi\)
0.980917 0.194426i \(-0.0622845\pi\)
\(90\) −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 −0.219644 0.975580i \(-0.570490\pi\)
0.954699 0.297573i \(-0.0961770\pi\)
\(102\) 0.185816 0.492759i 0.0183986 0.0487905i
\(103\) −6.50151 + 3.75365i −0.640613 + 0.369858i −0.784851 0.619685i \(-0.787260\pi\)
0.144238 + 0.989543i \(0.453927\pi\)
\(104\) 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 0.132810 0.991141i \(-0.457600\pi\)
0.924759 + 0.380554i \(0.124267\pi\)
\(108\) −1.47196 10.2875i −0.141639 0.989918i
\(109\) 11.2275 + 6.48219i 1.07540 + 0.620881i 0.929651 0.368441i \(-0.120108\pi\)
0.145747 + 0.989322i \(0.453442\pi\)
\(110\) −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 \(-0.891537\pi\)
0.942506 0.334190i \(-0.108463\pi\)
\(114\) −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 \(-0.964181\pi\)
0.993675 0.112292i \(-0.0358192\pi\)
\(128\) 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 −0.704050 0.710150i \(-0.748627\pi\)
0.262983 + 0.964800i \(0.415294\pi\)
\(132\) 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 0.109582 0.993978i \(-0.465049\pi\)
−0.806019 + 0.591890i \(0.798382\pi\)
\(138\) 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 0.992022 + 0.126062i \(0.0402338\pi\)
−0.386838 + 0.922148i \(0.626433\pi\)
\(150\) 20.2871 + 7.65014i 1.65644 + 0.624632i
\(151\) −3.18729 1.84018i −0.259378 0.149752i 0.364673 0.931136i \(-0.381181\pi\)
−0.624051 + 0.781384i \(0.714514\pi\)
\(152\) 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 −0.484514 0.874784i \(-0.661003\pi\)
−0.999842 + 0.0177905i \(0.994337\pi\)
\(158\) −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 0.834886 0.550423i \(-0.185534\pi\)
−0.894123 + 0.447821i \(0.852200\pi\)
\(164\) 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 0.810716 0.585439i \(-0.199078\pi\)
−0.912363 + 0.409382i \(0.865744\pi\)
\(174\) 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 0.202020 0.979381i \(-0.435249\pi\)
−0.747159 + 0.664645i \(0.768583\pi\)
\(180\) 16.7704 + 14.7447i 1.24999 + 1.09901i
\(181\) 6.12284i 0.455107i 0.973766 + 0.227553i \(0.0730726\pi\)
−0.973766 + 0.227553i \(0.926927\pi\)
\(182\) −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 −0.998454 0.0555887i \(-0.982296\pi\)
0.451086 0.892481i \(-0.351037\pi\)
\(192\) 13.1243 4.44439i 0.947165 0.320746i
\(193\) −1.52962 + 2.64937i −0.110104 + 0.190706i −0.915812 0.401607i \(-0.868452\pi\)
0.805708 + 0.592313i \(0.201785\pi\)
\(194\) 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 0.927102 0.374809i \(-0.122292\pi\)
0.138957 + 0.990298i \(0.455625\pi\)
\(200\) −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 \(-0.928112\pi\)
0.974606 0.223927i \(-0.0718877\pi\)
\(224\) −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 −0.386199 0.922415i \(-0.626212\pi\)
−0.991935 + 0.126749i \(0.959546\pi\)
\(228\) 4.04633 6.79120i 0.267975 0.449758i
\(229\) 14.3077 8.26054i 0.945478 0.545872i 0.0538045 0.998551i \(-0.482865\pi\)
0.891673 + 0.452680i \(0.149532\pi\)
\(230\) −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 −0.870086 0.492901i \(-0.835937\pi\)
−0.00817827 + 0.999967i \(0.502603\pi\)
\(234\) 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 −0.993383 0.114848i \(-0.963362\pi\)
0.596153 + 0.802871i \(0.296695\pi\)
\(242\) 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 \(0.234630\pi\)
−0.740413 + 0.672152i \(0.765370\pi\)
\(252\) 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 −0.852226 0.523173i \(-0.824748\pi\)
0.0269684 + 0.999636i \(0.491415\pi\)
\(258\) −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 −0.873628 0.486594i \(-0.838239\pi\)
0.858217 + 0.513287i \(0.171572\pi\)
\(264\) 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 0.313205 + 0.949685i \(0.398597\pi\)
−0.979054 + 0.203599i \(0.934736\pi\)
\(270\) 25.9707 8.57335i 1.58053 0.521757i
\(271\) 13.6308 7.86975i 0.828013 0.478053i −0.0251590 0.999683i \(-0.508009\pi\)
0.853172 + 0.521630i \(0.174676\pi\)
\(272\) 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 0.789584 0.613643i \(-0.210297\pi\)
−0.136639 + 0.990621i \(0.543630\pi\)
\(278\) 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 \(-0.762582\pi\)
0.734498 0.678610i \(-0.237418\pi\)
\(282\) 2.22307 1.82208i 0.132382 0.108503i
\(283\) 0.440379 0.762759i 0.0261778 0.0453413i −0.852640 0.522499i \(-0.825000\pi\)
0.878818 + 0.477158i \(0.158333\pi\)
\(284\) −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 −0.983091 0.183115i \(-0.941382\pi\)
0.650128 + 0.759825i \(0.274715\pi\)
\(312\) −11.4599 + 13.2234i −0.648792 + 0.748630i
\(313\) −0.343520 0.594993i −0.0194169 0.0336310i 0.856154 0.516721i \(-0.172848\pi\)
−0.875571 + 0.483090i \(0.839514\pi\)
\(314\) 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 −0.792970 0.609261i \(-0.791466\pi\)
−0.131150 0.991363i \(-0.541867\pi\)
\(318\) −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 0.842216 0.539140i \(-0.181251\pi\)
−0.888017 + 0.459810i \(0.847917\pi\)
\(332\) −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 0.618158 0.786054i \(-0.287879\pi\)
−0.371664 + 0.928367i \(0.621213\pi\)
\(348\) −4.35203 7.78299i −0.233293 0.417212i
\(349\) 10.7938i 0.577779i −0.957362 0.288890i \(-0.906714\pi\)
0.957362 0.288890i \(-0.0932861\pi\)
\(350\) 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 0.981732 0.190268i \(-0.0609357\pi\)
0.326089 + 0.945339i \(0.394269\pi\)
\(354\) −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 0.867570 0.497315i \(-0.165681\pi\)
−0.864473 + 0.502680i \(0.832347\pi\)
\(360\) −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 0.296902 0.954908i \(-0.404046\pi\)
−0.678523 + 0.734579i \(0.737380\pi\)
\(368\) 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 −0.502028 0.864851i \(-0.667413\pi\)
0.497969 + 0.867195i \(0.334079\pi\)
\(374\) 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 0.985880 + 0.167456i \(0.0535551\pi\)
−0.347919 + 0.937525i \(0.613112\pi\)
\(384\) −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 0.178329 + 0.983971i \(0.442931\pi\)
−0.941308 + 0.337548i \(0.890403\pi\)
\(390\) 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 −0.618279 0.785959i \(-0.712170\pi\)
0.371521 + 0.928425i \(0.378836\pi\)
\(398\) −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 −0.522244 0.852796i \(-0.674905\pi\)
0.477421 + 0.878674i \(0.341572\pi\)
\(402\) 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 −0.816947 0.576712i \(-0.804335\pi\)
0.907921 + 0.419141i \(0.137669\pi\)
\(410\) −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 \(0.0770601\pi\)
−0.970839 + 0.239734i \(0.922940\pi\)
\(420\) −5.59660 + 33.6482i −0.273086 + 1.64186i
\(421\) 33.0188i 1.60924i 0.593790 + 0.804620i \(0.297631\pi\)
−0.593790 + 0.804620i \(0.702369\pi\)
\(422\) 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 −0.710628 0.703568i \(-0.751589\pi\)
0.964622 + 0.263638i \(0.0849226\pi\)
\(432\) −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 −0.279945 0.960016i \(-0.590316\pi\)
0.691426 + 0.722447i \(0.256983\pi\)
\(440\) −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 −0.504795 0.863239i \(-0.668432\pi\)
0.495190 + 0.868785i \(0.335099\pi\)
\(444\) −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 \(0.0439990\pi\)
−0.990462 + 0.137787i \(0.956001\pi\)
\(450\) −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 0.995730 0.0923098i \(-0.0294250\pi\)
−0.577808 + 0.816173i \(0.696092\pi\)
\(458\) −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 \(-0.760306\pi\)
0.729626 0.683847i \(-0.239694\pi\)
\(464\) −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 −0.647994 0.761645i \(-0.724392\pi\)
0.335607 + 0.942002i \(0.391059\pi\)
\(468\) 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 0.0366434 0.999328i \(-0.488333\pi\)
0.847122 0.531398i \(-0.178333\pi\)
\(480\) 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 0.291533 0.956561i \(-0.405835\pi\)
−0.682639 + 0.730756i \(0.739168\pi\)
\(488\) −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 \(-0.886208\pi\)
0.936779 0.349923i \(-0.113792\pi\)
\(492\) −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 0.859792 0.510644i \(-0.170593\pi\)
−0.872127 + 0.489279i \(0.837260\pi\)
\(500\) 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 0.885408 0.464814i \(-0.153879\pi\)
−0.845245 + 0.534379i \(0.820545\pi\)
\(510\) −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 0.638657 0.769491i \(-0.279490\pi\)
−0.347070 + 0.937839i \(0.612823\pi\)
\(522\) −10.9188 0.227978i −0.477904 0.00997835i
\(523\) −4.33611 7.51035i −0.189605 0.328405i 0.755514 0.655133i \(-0.227387\pi\)
−0.945118 + 0.326728i \(0.894054\pi\)
\(524\) −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 −0.700693 0.713463i \(-0.747126\pi\)
0.267530 + 0.963549i \(0.413792\pi\)
\(542\) −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 −0.655136 0.755511i \(-0.727389\pi\)
0.981860 + 0.189609i \(0.0607220\pi\)
\(558\) −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 0.723456 0.690371i \(-0.242553\pi\)
−0.236151 + 0.971716i \(0.575886\pi\)
\(564\) −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 −0.677034 + 0.735951i \(0.736735\pi\)
−0.975870 + 0.218353i \(0.929931\pi\)
\(570\) 19.4661 + 7.34053i 0.815344 + 0.307461i
\(571\) 20.3243 35.2028i 0.850546 1.47319i −0.0301698 0.999545i \(-0.509605\pi\)
0.880716 0.473645i \(-0.157062\pi\)
\(572\) 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 −0.986971 0.160899i \(-0.948561\pi\)
0.632828 + 0.774292i \(0.281894\pi\)
\(578\) 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 \(-0.799100\pi\)
0.807352 0.590070i \(-0.200900\pi\)
\(588\) 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 −0.589532 0.807745i \(-0.700688\pi\)
0.404762 + 0.914422i \(0.367354\pi\)
\(594\) 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 0.141519 0.989936i \(-0.454801\pi\)
0.786550 0.617527i \(-0.211865\pi\)
\(600\) 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 −0.823639 0.567114i \(-0.808060\pi\)
0.0793155 + 0.996850i \(0.474727\pi\)
\(608\) 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 0.876888 0.480694i \(-0.159615\pi\)
0.0221508 + 0.999755i \(0.492949\pi\)
\(614\) −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 \(0.111094\pi\)
−0.939711 + 0.341971i \(0.888906\pi\)
\(618\) 11.6569 + 14.2223i 0.468910 + 0.572104i
\(619\) −11.6456 + 20.1708i −0.468076 + 0.810732i −0.999334 0.0364781i \(-0.988386\pi\)
0.531258 + 0.847210i \(0.321719\pi\)
\(620\) 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 \(0.0968778\pi\)
−0.954042 + 0.299674i \(0.903122\pi\)
\(632\) −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 0.879062 0.476707i \(-0.158170\pi\)
0.0266904 + 0.999644i \(0.491503\pi\)
\(642\) −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 −0.988413 0.151789i \(-0.951497\pi\)
0.625659 + 0.780096i \(0.284830\pi\)
\(648\) −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 0.986353 0.164643i \(-0.0526470\pi\)
−0.635761 + 0.771886i \(0.719314\pi\)
\(654\) 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 \(-0.795789\pi\)
0.801170 0.598437i \(-0.204211\pi\)
\(660\) −29.4900 + 16.4900i −1.14790 + 0.641872i
\(661\) 13.0311 + 7.52352i 0.506852 + 0.292631i 0.731539 0.681800i \(-0.238803\pi\)
−0.224687 + 0.974431i \(0.572136\pi\)
\(662\) 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 0.750268 0.661133i \(-0.229924\pi\)
−0.947692 + 0.319185i \(0.896591\pi\)
\(678\) −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 0.955430 0.295218i \(-0.0953924\pi\)
0.222048 + 0.975036i \(0.428726\pi\)
\(684\) 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 0.983463 + 0.181109i \(0.0579685\pi\)
−0.334887 + 0.942258i \(0.608698\pi\)
\(692\) −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 0.0418586 0.999124i \(-0.486672\pi\)
0.886196 + 0.463311i \(0.153339\pi\)
\(710\) −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 −0.778837 0.627226i \(-0.784190\pi\)
−0.153775 0.988106i \(-0.549143\pi\)
\(720\) 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 \(-0.828054\pi\)
0.857614 0.514295i \(-0.171946\pi\)
\(728\) −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 0.0236782 0.999720i \(-0.492462\pi\)
0.877622 + 0.479354i \(0.159129\pi\)
\(734\) 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 −0.409449 0.912333i \(-0.634279\pi\)
0.994828 0.101573i \(-0.0323876\pi\)
\(740\) 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 −0.953450 0.301551i \(-0.902496\pi\)
−0.215574 + 0.976488i \(0.569162\pi\)
\(752\) 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 \(0.0116407\pi\)
−0.999331 + 0.0365621i \(0.988359\pi\)
\(758\) 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 −0.978099 0.208140i \(-0.933259\pi\)
−0.308795 + 0.951129i \(0.599926\pi\)
\(762\) −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 0.699966i −0.590094