Properties

Label 168.2.v.a.107.26
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 107.26
Character \(\chi\) \(=\) 168.107
Dual form 168.2.v.a.11.26

$q$-expansion

\(f(q)\) \(=\) \(q+(1.32999 + 0.480762i) q^{2} +(-1.31637 - 1.12568i) q^{3} +(1.53774 + 1.27882i) q^{4} +(1.86088 - 3.22314i) q^{5} +(-1.20958 - 2.13001i) q^{6} +(-2.46429 - 0.962962i) q^{7} +(1.43036 + 2.44009i) q^{8} +(0.465685 + 2.96364i) q^{9} +O(q^{10})\) \(q+(1.32999 + 0.480762i) q^{2} +(-1.31637 - 1.12568i) q^{3} +(1.53774 + 1.27882i) q^{4} +(1.86088 - 3.22314i) q^{5} +(-1.20958 - 2.13001i) q^{6} +(-2.46429 - 0.962962i) q^{7} +(1.43036 + 2.44009i) q^{8} +(0.465685 + 2.96364i) q^{9} +(4.02451 - 3.39209i) q^{10} +(2.26958 - 1.31034i) q^{11} +(-0.584698 - 3.41440i) 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} +(-0.805449 + 4.16548i) q^{18} +(-1.14103 + 1.97631i) q^{19} +(6.98334 - 2.57661i) q^{20} +(2.15994 + 4.04162i) q^{21} +(3.64848 - 0.651612i) q^{22} +(-2.33586 + 4.04583i) q^{23} +(0.863874 - 4.82221i) 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} +(-9.11617 - 0.0650478i) q^{30} +(-4.26196 + 2.46064i) q^{31} +(-0.920911 + 5.58139i) q^{32} +(-4.46265 - 0.829921i) q^{33} +(-0.299314 + 0.0534570i) q^{34} +(-7.68949 + 6.15077i) q^{35} +(-3.07384 + 5.15281i) q^{36} +(-7.31104 - 4.22103i) q^{37} +(-2.46769 + 2.07991i) q^{38} +(4.02073 - 4.70186i) q^{39} +(10.5265 - 0.0695365i) q^{40} +0.909442i q^{41} +(0.929631 + 6.41372i) q^{42} +3.73541 q^{43} +(5.16570 + 0.887414i) q^{44} +(10.4188 + 4.01400i) q^{45} +(-5.05175 + 4.25791i) q^{46} +(-0.586728 + 1.01624i) q^{47} +(3.46728 - 5.99816i) q^{48} +(5.14541 + 4.74603i) q^{49} +(-2.20085 - 12.3229i) q^{50} +(0.366107 + 0.0680851i) q^{51} +(-4.56770 + 5.49252i) q^{52} +(-1.06171 - 1.83894i) q^{53} +(5.74928 - 4.57666i) 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} +(-12.0931 - 4.46922i) q^{60} +(0.301301 + 0.173956i) q^{61} +(-6.85134 + 1.22364i) q^{62} +(1.70629 - 7.75168i) q^{63} +(-3.90812 + 6.98044i) q^{64} +(11.5125 + 6.64673i) q^{65} +(-5.53627 - 3.24926i) 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} +(-6.56545 + 5.37539i) q^{72} +(4.45173 + 7.71062i) q^{73} +(-7.69428 - 9.12879i) q^{74} +(-2.80309 + 15.0728i) q^{75} +(-4.28194 + 1.57989i) q^{76} +(-6.85470 + 1.04354i) q^{77} +(7.60800 - 4.32040i) q^{78} +(9.70950 + 5.60578i) q^{79} +(14.0335 + 4.96826i) q^{80} +(-8.56628 + 2.76024i) q^{81} +(-0.437225 + 1.20955i) q^{82} -1.73937i q^{83} +(-1.84707 + 8.97710i) q^{84} +0.800163i q^{85} +(4.96805 + 1.79584i) q^{86} +(-3.38855 - 2.89767i) q^{87} +(6.44368 + 3.66372i) q^{88} +(-15.4694 - 8.93127i) q^{89} +(11.9271 + 10.3475i) q^{90} +(3.43953 - 8.80199i) q^{91} +(-8.76581 + 3.23428i) q^{92} +(8.38024 + 1.55848i) q^{93} +(-1.26891 + 1.06951i) q^{94} +(4.24662 + 7.35536i) q^{95} +(7.49513 - 6.31055i) 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
\(3\) −1.31637 1.12568i −0.760009 0.649912i
\(4\) 1.53774 + 1.27882i 0.768868 + 0.639408i
\(5\) 1.86088 3.22314i 0.832210 1.44143i −0.0640716 0.997945i \(-0.520409\pi\)
0.896282 0.443485i \(-0.146258\pi\)
\(6\) −1.20958 2.13001i −0.493808 0.869571i
\(7\) −2.46429 0.962962i −0.931412 0.363965i
\(8\) 1.43036 + 2.44009i 0.505710 + 0.862704i
\(9\) 0.465685 + 2.96364i 0.155228 + 0.987879i
\(10\) 4.02451 3.39209i 1.27266 1.07267i
\(11\) 2.26958 1.31034i 0.684304 0.395083i −0.117171 0.993112i \(-0.537382\pi\)
0.801475 + 0.598029i \(0.204049\pi\)
\(12\) −0.584698 3.41440i −0.168788 0.985652i
\(13\) 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 −0.522409 0.852695i \(-0.674967\pi\)
0.477251 + 0.878767i \(0.341633\pi\)
\(18\) −0.805449 + 4.16548i −0.189846 + 0.981814i
\(19\) −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
\(21\) 2.15994 + 4.04162i 0.471337 + 0.881953i
\(22\) 3.64848 0.651612i 0.777858 0.138924i
\(23\) −2.33586 + 4.04583i −0.487061 + 0.843615i −0.999889 0.0148767i \(-0.995264\pi\)
0.512828 + 0.858491i \(0.328598\pi\)
\(24\) 0.863874 4.82221i 0.176337 0.984330i
\(25\) −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 \(-0.423179\pi\)
0.239004 + 0.971019i \(0.423179\pi\)
\(30\) −9.11617 0.0650478i −1.66438 0.0118760i
\(31\) −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
\(33\) −4.46265 0.829921i −0.776847 0.144471i
\(34\) −0.299314 + 0.0534570i −0.0513319 + 0.00916779i
\(35\) −7.68949 + 6.15077i −1.29976 + 1.03967i
\(36\) −3.07384 + 5.15281i −0.512307 + 0.858802i
\(37\) −7.31104 4.22103i −1.20193 0.693933i −0.240944 0.970539i \(-0.577457\pi\)
−0.960983 + 0.276606i \(0.910790\pi\)
\(38\) −2.46769 + 2.07991i −0.400312 + 0.337406i
\(39\) 4.02073 4.70186i 0.643832 0.752899i
\(40\) 10.5265 0.0695365i 1.66438 0.0109947i
\(41\) 0.909442i 0.142031i 0.997475 + 0.0710155i \(0.0226240\pi\)
−0.997475 + 0.0710155i \(0.977376\pi\)
\(42\) 0.929631 + 6.41372i 0.143445 + 0.989658i
\(43\) 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
\(45\) 10.4188 + 4.01400i 1.55314 + 0.598372i
\(46\) −5.05175 + 4.25791i −0.744840 + 0.627795i
\(47\) −0.586728 + 1.01624i −0.0855831 + 0.148234i −0.905640 0.424048i \(-0.860609\pi\)
0.820056 + 0.572283i \(0.193942\pi\)
\(48\) 3.46728 5.99816i 0.500459 0.865761i
\(49\) 5.14541 + 4.74603i 0.735058 + 0.678004i
\(50\) −2.20085 12.3229i −0.311247 1.74272i
\(51\) 0.366107 + 0.0680851i 0.0512652 + 0.00953383i
\(52\) −4.56770 + 5.49252i −0.633426 + 0.761675i
\(53\) −1.06171 1.83894i −0.145837 0.252598i 0.783848 0.620953i \(-0.213254\pi\)
−0.929685 + 0.368355i \(0.879921\pi\)
\(54\) 5.74928 4.57666i 0.782378 0.622804i
\(55\) 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 \(-0.496121\pi\)
0.872055 + 0.489408i \(0.162787\pi\)
\(60\) −12.0931 4.46922i −1.56122 0.576974i
\(61\) 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
\(63\) 1.70629 7.75168i 0.214972 0.976620i
\(64\) −3.90812 + 6.98044i −0.488515 + 0.872555i
\(65\) 11.5125 + 6.64673i 1.42795 + 0.824425i
\(66\) −5.53627 3.24926i −0.681468 0.399956i
\(67\) −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 \(-0.295889\pi\)
0.598183 + 0.801359i \(0.295889\pi\)
\(72\) −6.56545 + 5.37539i −0.773746 + 0.633496i
\(73\) 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
\(75\) −2.80309 + 15.0728i −0.323673 + 1.74045i
\(76\) −4.28194 + 1.57989i −0.491172 + 0.181226i
\(77\) −6.85470 + 1.04354i −0.781166 + 0.118922i
\(78\) 7.60800 4.32040i 0.861436 0.489188i
\(79\) 9.70950 + 5.60578i 1.09240 + 0.630700i 0.934216 0.356709i \(-0.116101\pi\)
0.158189 + 0.987409i \(0.449434\pi\)
\(80\) 14.0335 + 4.96826i 1.56900 + 0.555468i
\(81\) −8.56628 + 2.76024i −0.951808 + 0.306693i
\(82\) −0.437225 + 1.20955i −0.0482835 + 0.133572i
\(83\) 1.73937i 0.190921i −0.995433 0.0954603i \(-0.969568\pi\)
0.995433 0.0954603i \(-0.0304323\pi\)
\(84\) −1.84707 + 8.97710i −0.201532 + 0.979482i
\(85\) 0.800163i 0.0867898i
\(86\) 4.96805 + 1.79584i 0.535718 + 0.193651i
\(87\) −3.38855 2.89767i −0.363290 0.310663i
\(88\) 6.44368 + 3.66372i 0.686899 + 0.390554i
\(89\) −15.4694 8.93127i −1.63975 0.946712i −0.980917 0.194426i \(-0.937716\pi\)
−0.658837 0.752286i \(-0.728951\pi\)
\(90\) 11.9271 + 10.3475i 1.25722 + 1.09073i
\(91\) 3.43953 8.80199i 0.360560 0.922699i
\(92\) −8.76581 + 3.23428i −0.913899 + 0.337197i
\(93\) 8.38024 + 1.55848i 0.868990 + 0.161607i
\(94\) −1.26891 + 1.06951i −0.130878 + 0.110312i
\(95\) 4.24662 + 7.35536i 0.435694 + 0.754644i
\(96\) 7.49513 6.31055i 0.764968 0.644068i
\(97\) −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 \(-0.903823\pi\)
0.219644 0.975580i \(-0.429510\pi\)
\(102\) 0.454185 + 0.266563i 0.0449710 + 0.0263936i
\(103\) −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
\(105\) 17.0461 + 0.559193i 1.66353 + 0.0545717i
\(106\) −0.527972 2.95620i −0.0512812 0.287131i
\(107\) −10.9396 6.31597i −1.05757 0.610588i −0.132810 0.991141i \(-0.542400\pi\)
−0.924759 + 0.380554i \(0.875733\pi\)
\(108\) 9.84675 3.32286i 0.947504 0.319743i
\(109\) 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 \(-0.891537\pi\)
0.942506 0.334190i \(-0.108463\pi\)
\(114\) 5.58972 + 0.0398850i 0.523525 + 0.00373558i
\(115\) 8.69351 + 15.0576i 0.810674 + 1.40413i
\(116\) 3.95836 + 3.29187i 0.367525 + 0.305642i
\(117\) −10.5856 + 1.66334i −0.978637 + 0.153776i
\(118\) 10.9185 1.95003i 1.00513 0.179514i
\(119\) 0.562347 0.0856100i 0.0515502 0.00784786i
\(120\) −13.9351 11.7579i −1.27209 1.07335i
\(121\) −2.06600 + 3.57842i −0.187819 + 0.325311i
\(122\) 0.317095 + 0.376214i 0.0287084 + 0.0340608i
\(123\) 1.02374 1.19717i 0.0923077 0.107945i
\(124\) −9.70048 1.66644i −0.871129 0.149651i
\(125\) −14.3343 −1.28210
\(126\) 5.99606 9.48933i 0.534171 0.845376i
\(127\) 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
\(129\) −4.91720 4.20488i −0.432935 0.370219i
\(130\) 12.1159 + 14.3748i 1.06264 + 1.26076i
\(131\) 5.04824 + 2.91460i 0.441067 + 0.254650i 0.704050 0.710150i \(-0.251373\pi\)
−0.262983 + 0.964800i \(0.584706\pi\)
\(132\) −5.80105 6.98310i −0.504917 0.607801i
\(133\) 4.71493 3.77144i 0.408836 0.327025i
\(134\) −2.48013 13.8866i −0.214251 1.19962i
\(135\) −9.19654 17.0122i −0.791512 1.46417i
\(136\) −0.528627 0.300565i −0.0453294 0.0257732i
\(137\) 8.15158 4.70632i 0.696437 0.402088i −0.109582 0.993978i \(-0.534951\pi\)
0.806019 + 0.591890i \(0.201618\pi\)
\(138\) 11.4431 + 0.0816511i 0.974097 + 0.00695060i
\(139\) −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
\(144\) −11.3163 + 3.99278i −0.943021 + 0.332732i
\(145\) 4.79018 8.29684i 0.397803 0.689015i
\(146\) 2.21377 + 12.3953i 0.183213 + 1.02584i
\(147\) −1.43078 12.0396i −0.118008 0.993013i
\(148\) −5.84452 15.8403i −0.480417 1.30206i
\(149\) −7.38721 + 12.7950i −0.605184 + 1.04821i 0.386838 + 0.922148i \(0.373567\pi\)
−0.992022 + 0.126062i \(0.959766\pi\)
\(150\) −10.9745 + 18.6990i −0.896064 + 1.52677i
\(151\) −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
\(156\) 12.1956 2.08844i 0.976432 0.167209i
\(157\) −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
\(159\) −0.672448 + 3.61588i −0.0533286 + 0.286758i
\(160\) 16.2759 + 13.3545i 1.28672 + 1.05577i
\(161\) 9.65222 7.72074i 0.760701 0.608480i
\(162\) −12.7201 0.447256i −0.999382 0.0351397i
\(163\) −0.756294 + 1.30994i −0.0592375 + 0.102602i −0.894123 0.447821i \(-0.852200\pi\)
0.834886 + 0.550423i \(0.185534\pi\)
\(164\) −1.16301 + 1.39848i −0.0908158 + 0.109203i
\(165\) −10.9794 + 12.8393i −0.854744 + 0.999541i
\(166\) 0.836223 2.31334i 0.0649035 0.179550i
\(167\) 7.21687 0.558459 0.279229 0.960224i \(-0.409921\pi\)
0.279229 + 0.960224i \(0.409921\pi\)
\(168\) −6.77244 + 11.0514i −0.522505 + 0.852636i
\(169\) 0.242090 0.0186223
\(170\) −0.384688 + 1.06421i −0.0295042 + 0.0816209i
\(171\) −6.38844 2.46125i −0.488536 0.188216i
\(172\) 5.74407 + 4.77690i 0.437981 + 0.364235i
\(173\) 1.33696 2.31567i 0.101647 0.176057i −0.810716 0.585439i \(-0.800922\pi\)
0.912363 + 0.409382i \(0.134256\pi\)
\(174\) −3.11364 5.48296i −0.236044 0.415662i
\(175\) 3.52460 + 23.1521i 0.266435 + 1.75013i
\(176\) 6.80864 + 7.97059i 0.513221 + 0.600806i
\(177\) −13.3550 2.48364i −1.00382 0.186682i
\(178\) −16.2803 19.3156i −1.22026 1.44776i
\(179\) 7.29346 4.21088i 0.545139 0.314736i −0.202020 0.979381i \(-0.564751\pi\)
0.747159 + 0.664645i \(0.231417\pi\)
\(180\) 10.8882 + 19.4962i 0.811556 + 1.45316i
\(181\) 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
\(186\) 10.3964 + 6.10166i 0.762298 + 0.447395i
\(187\) −0.281718 + 0.487951i −0.0206013 + 0.0356825i
\(188\) −2.20182 + 0.812396i −0.160584 + 0.0592500i
\(189\) −10.9720 + 8.28338i −0.798098 + 0.602527i
\(190\) 2.11177 + 11.8242i 0.153204 + 0.857815i
\(191\) 7.56478 13.1026i 0.547368 0.948069i −0.451086 0.892481i \(-0.648963\pi\)
0.998454 0.0555887i \(-0.0177036\pi\)
\(192\) 13.0023 4.78958i 0.938360 0.345658i
\(193\) −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 \(-0.673756\pi\)
−0.519163 + 0.854675i \(0.673756\pi\)
\(198\) 3.63018 + 10.5093i 0.257986 + 0.746864i
\(199\) 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
\(201\) −3.15880 + 16.9855i −0.222805 + 1.19806i
\(202\) −3.67354 20.5687i −0.258469 1.44721i
\(203\) −6.34345 2.47881i −0.445223 0.173978i
\(204\) 0.475907 + 0.572880i 0.0333202 + 0.0401096i
\(205\) 2.93126 + 1.69236i 0.204728 + 0.118200i
\(206\) −6.84232 8.11799i −0.476727 0.565607i
\(207\) −13.0782 5.03856i −0.908994 0.350204i
\(208\) −14.0478 + 2.60479i −0.974042 + 0.180610i
\(209\) 5.98054i 0.413683i
\(210\) 22.4022 + 8.93882i 1.54590 + 0.616837i
\(211\) −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
\(213\) −13.2701 11.3477i −0.909250 0.777533i
\(214\) −11.5130 13.6595i −0.787015 0.933744i
\(215\) 6.95114 12.0397i 0.474064 0.821103i
\(216\) 14.6936 + 0.314577i 0.999771 + 0.0214043i
\(217\) 12.8722 1.95963i 0.873822 0.133028i
\(218\) 18.0488 3.22349i 1.22242 0.218322i
\(219\) 2.81956 15.1613i 0.190528 1.02451i
\(220\) 12.4730 14.9984i 0.840929 1.01119i
\(221\) −0.383964 0.665045i −0.0258282 0.0447357i
\(222\) −0.147548 + 20.6782i −0.00990276 + 1.38783i
\(223\) 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 0.386199 0.922415i \(-0.373788\pi\)
0.991935 + 0.126749i \(0.0404544\pi\)
\(228\) 7.41508 + 2.74037i 0.491076 + 0.181486i
\(229\) 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
\(231\) 10.1981 + 6.34252i 0.670983 + 0.417307i
\(232\) 3.68197 + 6.28117i 0.241733 + 0.412379i
\(233\) 13.4061 + 7.74002i 0.878264 + 0.507066i 0.870086 0.492901i \(-0.164063\pi\)
0.00817827 + 0.999967i \(0.497397\pi\)
\(234\) −14.8784 2.87692i −0.972629 0.188070i
\(235\) 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 \(-0.731358\pi\)
−0.664505 + 0.747284i \(0.731358\pi\)
\(240\) −12.8807 22.3374i −0.831447 1.44187i
\(241\) −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
\(243\) 14.3836 + 6.00938i 0.922707 + 0.385502i
\(244\) 0.240863 + 0.652807i 0.0154197 + 0.0417917i
\(245\) 24.8721 7.75258i 1.58902 0.495294i
\(246\) 1.93712 1.10004i 0.123506 0.0701361i
\(247\) −7.05904 4.07554i −0.449156 0.259320i
\(248\) −12.1004 6.87997i −0.768374 0.436879i
\(249\) −1.95798 + 2.28966i −0.124082 + 0.145101i
\(250\) −19.0644 6.89137i −1.20574 0.435848i
\(251\) 21.2978i 1.34430i 0.740413 + 0.672152i \(0.234630\pi\)
−0.740413 + 0.672152i \(0.765370\pi\)
\(252\) 12.5368 9.73801i 0.789744 0.613437i
\(253\) 12.2431i 0.769719i
\(254\) −1.21678 + 3.36611i −0.0763473 + 0.211208i
\(255\) 0.900728 1.05331i 0.0564058 0.0659611i
\(256\) −14.9364 + 5.73631i −0.933522 + 0.358519i
\(257\) 13.2299 + 7.63828i 0.825258 + 0.476463i 0.852226 0.523173i \(-0.175252\pi\)
−0.0269684 + 0.999636i \(0.508585\pi\)
\(258\) −4.51827 7.95644i −0.281295 0.495346i
\(259\) 13.9518 + 17.4421i 0.866922 + 1.08380i
\(260\) 9.20319 + 24.9432i 0.570758 + 1.54691i
\(261\) 1.19874 + 7.62885i 0.0742003 + 0.472214i
\(262\) 5.31287 + 6.30339i 0.328230 + 0.389425i
\(263\) 0.249921 + 0.432876i 0.0154108 + 0.0266923i 0.873628 0.486594i \(-0.161761\pi\)
−0.858217 + 0.513287i \(0.828428\pi\)
\(264\) −4.35812 12.0764i −0.268224 0.743249i
\(265\) −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 \(0.0652638\pi\)
−0.313205 + 0.949685i \(0.601403\pi\)
\(270\) −4.05248 27.0473i −0.246626 1.64605i
\(271\) 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
\(273\) −14.4359 + 7.71491i −0.873703 + 0.466927i
\(274\) 13.1041 2.34037i 0.791649 0.141387i
\(275\) −20.0891 11.5985i −1.21142 0.699414i
\(276\) 15.1799 + 5.60998i 0.913721 + 0.337681i
\(277\) 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 \(-0.762582\pi\)
0.734498 0.678610i \(-0.237418\pi\)
\(282\) 2.87430 + 0.0205093i 0.171162 + 0.00122131i
\(283\) 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
\(285\) 2.68965 14.4628i 0.159321 0.856700i
\(286\) 2.32744 + 13.0317i 0.137624 + 0.770581i
\(287\) 0.875758 2.24113i 0.0516944 0.132289i
\(288\) −16.9701 0.130076i −0.999971 0.00766478i
\(289\) −8.47689 + 14.6824i −0.498640 + 0.863671i
\(290\) 10.3597 8.73176i 0.608342 0.512747i
\(291\) 11.6967 + 10.0023i 0.685672 + 0.586343i
\(292\) −3.01488 + 17.5498i −0.176433 + 1.02703i
\(293\) 22.1280 1.29273 0.646366 0.763028i \(-0.276288\pi\)
0.646366 + 0.763028i \(0.276288\pi\)
\(294\) 3.88529 16.7004i 0.226595 0.973989i
\(295\) 29.1887i 1.69943i
\(296\) −0.157729 23.8772i −0.00916784 1.38784i
\(297\) 0.381399 13.6121i 0.0221310 0.789856i
\(298\) −15.9763 + 13.4657i −0.925480 + 0.780049i
\(299\) −14.4510 8.34329i −0.835723 0.482505i
\(300\) −23.5857 + 19.5933i −1.36172 + 1.13122i
\(301\) −9.20511 3.59705i −0.530574 0.207331i
\(302\) −5.12375 + 0.915093i −0.294839 + 0.0526577i
\(303\) −4.67878 + 25.1587i −0.268789 + 1.44533i
\(304\) −8.60487 3.04636i −0.493523 0.174721i
\(305\) 1.12137 0.647422i 0.0642094 0.0370713i
\(306\) −0.297813 0.862164i −0.0170248 0.0492866i
\(307\) 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 \(-0.0586181\pi\)
−0.650128 + 0.759825i \(0.725285\pi\)
\(312\) 17.2241 + 3.08560i 0.975121 + 0.174688i
\(313\) −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
\(315\) −21.8095 19.9245i −1.22883 1.12262i
\(316\) 7.76188 + 21.0369i 0.436640 + 1.18342i
\(317\) 16.4535 28.4983i 0.924120 1.60062i 0.131150 0.991363i \(-0.458133\pi\)
0.792970 0.609261i \(-0.208534\pi\)
\(318\) −2.63273 + 4.48579i −0.147636 + 0.251551i
\(319\) 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
\(324\) −16.7025 6.71017i −0.927917 0.372787i
\(325\) 27.3802 15.8079i 1.51878 0.876867i
\(326\) −1.63563 + 1.37861i −0.0905893 + 0.0763540i
\(327\) −22.0765 4.10557i −1.22083 0.227039i
\(328\) −2.21913 + 1.30083i −0.122531 + 0.0718265i
\(329\) 2.42447 1.93932i 0.133665 0.106918i
\(330\) −20.7751 + 11.7977i −1.14363 + 0.649441i
\(331\) −0.833276 + 1.44328i −0.0458010 + 0.0793297i −0.888017 0.459810i \(-0.847917\pi\)
0.842216 + 0.539140i \(0.181251\pi\)
\(332\) 2.22433 2.67469i 0.122076 0.146793i
\(333\) 9.10496 23.6329i 0.498948 1.29508i
\(334\) 9.59836 + 3.46960i 0.525199 + 0.189848i
\(335\) −37.1235 −2.02827
\(336\) −14.3204 + 11.4423i −0.781240 + 0.624231i
\(337\) 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
\(339\) −7.99794 + 9.35281i −0.434388 + 0.507975i
\(340\) −1.02326 + 1.23044i −0.0554941 + 0.0667299i
\(341\) −6.44858 + 11.1693i −0.349210 + 0.604849i
\(342\) −7.31327 6.34474i −0.395456 0.343085i
\(343\) −8.10952 16.6504i −0.437873 0.899037i
\(344\) 5.34299 + 9.11475i 0.288075 + 0.491434i
\(345\) 5.50614 29.6076i 0.296441 1.59402i
\(346\) 2.89142 2.43706i 0.155444 0.131017i
\(347\) −4.59168 + 2.65101i −0.246494 + 0.142313i −0.618158 0.786054i \(-0.712121\pi\)
0.371664 + 0.928367i \(0.378787\pi\)
\(348\) −1.50510 8.78918i −0.0806818 0.471150i
\(349\) 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 −0.981732 0.190268i \(-0.939064\pi\)
−0.326089 + 0.945339i \(0.605731\pi\)
\(354\) −16.5680 9.72379i −0.880577 0.516814i
\(355\) 18.7591 32.4917i 0.995628 1.72448i
\(356\) −12.3664 33.5164i −0.655418 1.77637i
\(357\) −0.836628 0.520328i −0.0442791 0.0275387i
\(358\) 11.7247 2.09400i 0.619667 0.110671i
\(359\) −0.0586851 + 0.101646i −0.00309728 + 0.00536465i −0.867570 0.497315i \(-0.834319\pi\)
0.864473 + 0.502680i \(0.167653\pi\)
\(360\) 5.10811 + 31.1643i 0.269221 + 1.64250i
\(361\) 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
\(366\) 0.00608071 0.852186i 0.000317844 0.0445445i
\(367\) −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
\(369\) −2.69526 + 0.423513i −0.140309 + 0.0220472i
\(370\) −43.7414 + 7.81215i −2.27401 + 0.406134i
\(371\) 0.845534 + 5.55406i 0.0438980 + 0.288353i
\(372\) 10.8936 + 13.1133i 0.564806 + 0.679893i
\(373\) −0.0783826 0.0452542i −0.00405850 0.00234318i 0.497969 0.867195i \(-0.334079\pi\)
−0.502028 + 0.864851i \(0.667413\pi\)
\(374\) −0.609270 + 0.513529i −0.0315046 + 0.0265539i
\(375\) 18.8693 + 16.1358i 0.974404 + 0.833249i
\(376\) −3.31896 + 0.0219246i −0.171162 + 0.00113067i
\(377\) 9.19441i 0.473536i
\(378\) −18.5750 + 5.74186i −0.955396 + 0.295329i
\(379\) −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
\(381\) 2.84902 3.33165i 0.145960 0.170686i
\(382\) 16.3603 13.7894i 0.837065 0.705528i
\(383\) −12.4851 + 21.6249i −0.637961 + 1.10498i 0.347919 + 0.937525i \(0.386888\pi\)
−0.985880 + 0.167456i \(0.946445\pi\)
\(384\) 19.5956 0.119068i 0.999982 0.00607617i
\(385\) −9.39230 + 24.0355i −0.478676 + 1.22496i
\(386\) −0.760653 4.25902i −0.0387162 0.216778i
\(387\) 1.73952 + 11.0704i 0.0884249 + 0.562739i
\(388\) −13.6636 11.3630i −0.693664 0.576867i
\(389\) 15.0483 + 26.0644i 0.762979 + 1.32152i 0.941308 + 0.337548i \(0.109597\pi\)
−0.178329 + 0.983971i \(0.557069\pi\)
\(390\) 0.232339 32.5613i 0.0117650 1.64881i
\(391\) 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
\(396\) −0.224385 + 15.7225i −0.0112758 + 0.790086i
\(397\) −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
\(399\) −10.4521 0.342878i −0.523257 0.0171654i
\(400\) 26.9210 22.9965i 1.34605 1.14982i
\(401\) 0.897563 + 0.518208i 0.0448222 + 0.0258781i 0.522244 0.852796i \(-0.325095\pi\)
−0.477421 + 0.878674i \(0.658428\pi\)
\(402\) −12.3671 + 21.0719i −0.616817 + 1.05097i
\(403\) −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
\(408\) 0.357532 + 0.990722i 0.0177005 + 0.0490480i
\(409\) 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
\(411\) −16.0284 2.98080i −0.790620 0.147032i
\(412\) −5.19738 14.0864i −0.256056 0.693985i
\(413\) −20.5135 + 3.12292i −1.00940 + 0.153669i
\(414\) −14.9714 12.9887i −0.735806 0.638360i
\(415\) −5.60623 3.23676i −0.275199 0.158886i
\(416\) −19.9357 3.28933i −0.977430 0.161273i
\(417\) 9.92453 + 8.48684i 0.486006 + 0.415602i
\(418\) −2.87522 + 7.95404i −0.140631 + 0.389045i
\(419\) 9.81445i 0.479467i 0.970839 + 0.239734i \(0.0770601\pi\)
−0.970839 + 0.239734i \(0.922940\pi\)
\(420\) 25.4972 + 22.6587i 1.24414 + 1.10563i
\(421\) 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
\(423\) −3.28500 1.26560i −0.159722 0.0615356i
\(424\) 2.96855 5.22103i 0.144166 0.253556i
\(425\) 1.64807 + 0.951516i 0.0799433 + 0.0461553i
\(426\) −12.1935 21.4721i −0.590775 1.04033i
\(427\) −0.574978 0.718819i −0.0278252 0.0347861i
\(428\) −8.74522 23.7020i −0.422716 1.14568i
\(429\) 2.96433 15.9398i 0.143119 0.769580i
\(430\) 15.0332 12.6708i 0.724964 0.611042i
\(431\) −5.27304 9.13317i −0.253993 0.439929i 0.710628 0.703568i \(-0.248411\pi\)
−0.964622 + 0.263638i \(0.915077\pi\)
\(432\) 19.3910 + 7.48250i 0.932952 + 0.360002i
\(433\) 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
\(438\) 11.0390 18.8088i 0.527462 0.898719i
\(439\) 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
\(441\) −11.6694 + 17.4593i −0.555684 + 0.831394i
\(442\) −0.190939 1.06910i −0.00908203 0.0508517i
\(443\) 0.202164 + 0.116720i 0.00960512 + 0.00554552i 0.504795 0.863239i \(-0.331568\pi\)
−0.495190 + 0.868785i \(0.664901\pi\)
\(444\) −10.1375 + 27.4308i −0.481106 + 1.30181i
\(445\) −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 \(0.956001\pi\)
\(450\) 35.4956 12.2611i 1.67328 0.577993i
\(451\) 1.19168 + 2.06405i 0.0561141 + 0.0971924i
\(452\) 9.08596 10.9256i 0.427367 0.513896i
\(453\) 6.26713 + 1.16550i 0.294456 + 0.0547601i
\(454\) 33.3788 5.96139i 1.56654 0.279782i
\(455\) −21.9695 27.4655i −1.02994 1.28760i
\(456\) 8.54450 + 7.20955i 0.400133 + 0.337618i
\(457\) 8.93416 15.4744i 0.417923 0.723863i −0.577808 0.816173i \(-0.696092\pi\)
0.995730 + 0.0923098i \(0.0294250\pi\)
\(458\) 15.0577 + 17.8650i 0.703599 + 0.834777i
\(459\) −0.0312892 + 1.11671i −0.00146046 + 0.0521237i
\(460\) −5.88758 + 34.2720i −0.274510 + 1.59794i
\(461\) −0.400330 −0.0186452 −0.00932262 0.999957i \(-0.502968\pi\)
−0.00932262 + 0.999957i \(0.502968\pi\)
\(462\) 10.5140 + 13.3383i 0.489157 + 0.620554i
\(463\) 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
\(465\) 20.6178 24.1105i 0.956127 1.11810i
\(466\) 14.1089 + 16.7393i 0.653580 + 0.775433i
\(467\) 6.75074 + 3.89754i 0.312387 + 0.180357i 0.647994 0.761645i \(-0.275608\pi\)
−0.335607 + 0.942002i \(0.608941\pi\)
\(468\) −18.4049 10.9792i −0.850768 0.507515i
\(469\) 3.97187 + 26.0900i 0.183404 + 1.20472i
\(470\) 1.08590 + 6.08011i 0.0500887 + 0.280455i
\(471\) 36.5708 + 6.80110i 1.68509 + 0.313378i
\(472\) 19.2835 + 10.9641i 0.887595 + 0.504665i
\(473\) 8.47781 4.89466i 0.389810 0.225057i
\(474\) 0.195953 27.4619i 0.00900040 1.26137i
\(475\) 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 \(-0.821667\pi\)
−0.0366434 0.999328i \(-0.511667\pi\)
\(480\) −6.39224 35.9010i −0.291764 1.63865i
\(481\) 15.0768 26.1137i 0.687441 1.19068i
\(482\) −3.06658 17.1703i −0.139679 0.782085i
\(483\) −21.3970 0.701926i −0.973598 0.0319387i
\(484\) −7.75311 + 2.86063i −0.352414 + 0.130029i
\(485\) −16.5349 + 28.6393i −0.750811 + 1.30044i
\(486\) 16.2409 + 14.9075i 0.736702 + 0.676217i
\(487\) −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 \(-0.886208\pi\)
0.936779 0.349923i \(-0.113792\pi\)
\(492\) 3.10520 0.531749i 0.139993 0.0239731i
\(493\) −0.479286 + 0.276716i −0.0215860 + 0.0124627i
\(494\) −7.42908 8.81414i −0.334250 0.396567i
\(495\) 28.9060 4.54208i 1.29923 0.204151i
\(496\) −12.7857 14.9677i −0.574095 0.672068i
\(497\) −24.8419 9.70739i −1.11431 0.435436i
\(498\) −3.70487 + 2.10390i −0.166019 + 0.0942781i
\(499\) −0.275544 + 0.477256i −0.0123350 + 0.0213649i −0.872127 0.489279i \(-0.837260\pi\)
0.859792 + 0.510644i \(0.170593\pi\)
\(500\) −22.0423 18.3309i −0.985762 0.819782i
\(501\) −9.50011 8.12390i −0.424434 0.362949i
\(502\) −10.2392 + 28.3258i −0.456997 + 1.26424i
\(503\) 32.2097 1.43616 0.718079 0.695962i \(-0.245022\pi\)
0.718079 + 0.695962i \(0.245022\pi\)
\(504\) 21.3554 6.92422i 0.951247 0.308429i
\(505\) −54.9868 −2.44688
\(506\) −5.88603 + 16.2832i −0.261666 + 0.723877i
\(507\) −0.318681 0.272516i −0.0141531 0.0121028i
\(508\) −3.23660 + 3.89190i −0.143601 + 0.172675i
\(509\) −0.906135 + 1.56947i −0.0401637 + 0.0695656i −0.885408 0.464814i \(-0.846121\pi\)
0.845245 + 0.534379i \(0.179455\pi\)
\(510\) 1.70435 0.967859i 0.0754699 0.0428575i
\(511\) −3.54530 23.2880i −0.156835 1.03020i
\(512\) −22.6230 + 0.448384i −0.999804 + 0.0198160i
\(513\) 5.63900 + 10.4313i 0.248968 + 0.460551i
\(514\) 13.9234 + 16.5193i 0.614135 + 0.728633i
\(515\) −24.1970 + 13.9702i −1.06625 + 0.615599i
\(516\) −2.18408 12.7542i −0.0961489 0.561471i
\(517\) 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 \(-0.720510\pi\)
0.347070 + 0.937839i \(0.387177\pi\)
\(522\) −2.07335 + 10.7226i −0.0907480 + 0.469315i
\(523\) −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
\(525\) 21.4221 34.4444i 0.934938 1.50327i
\(526\) 0.124281 + 0.695872i 0.00541893 + 0.0303415i
\(527\) 0.529029 0.916305i 0.0230449 0.0399149i
\(528\) 0.00961483 18.1566i 0.000418432 0.790166i
\(529\) 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
\(534\) −0.312196 + 43.7530i −0.0135101 + 1.89338i
\(535\) −40.7145 + 23.5065i −1.76024 + 1.01627i
\(536\) 13.9447 24.5256i 0.602318 1.05935i
\(537\) −14.3410 2.66701i −0.618862 0.115090i
\(538\) 5.43070 + 30.4074i 0.234134 + 1.31095i
\(539\) 17.8968 + 4.02924i 0.770871 + 0.173551i
\(540\) 7.61357 37.9209i 0.327636 1.63185i
\(541\) −10.0751 5.81687i −0.433163 0.250087i 0.267530 0.963549i \(-0.413792\pi\)
−0.700693 + 0.713463i \(0.747126\pi\)
\(542\) 14.3453 + 17.0199i 0.616185 + 0.731065i
\(543\) −6.89236 + 8.05995i −0.295779 + 0.345885i
\(544\) −0.428522 1.13821i −0.0183727 0.0488002i
\(545\) 48.2503i 2.06681i
\(546\) −22.9087 + 3.32048i −0.980400 + 0.142103i
\(547\) −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
\(549\) −0.375231 + 0.973955i −0.0160145 + 0.0415674i
\(550\) −21.1422 25.0839i −0.901506 1.06958i
\(551\) −2.93717 + 5.08733i −0.125128 + 0.216728i
\(552\) 17.4920 + 14.7591i 0.744508 + 0.628190i
\(553\) −18.5288 23.1641i −0.787926 0.985039i
\(554\) 17.4696 3.12004i 0.742212 0.132558i
\(555\) 53.5025 + 9.94989i 2.27105 + 0.422349i
\(556\) −11.5934 9.64136i −0.491671 0.408885i
\(557\) −7.71096 13.3558i −0.326724 0.565902i 0.655136 0.755511i \(-0.272611\pi\)
−0.981860 + 0.189609i \(0.939278\pi\)
\(558\) −6.81698 19.7351i −0.288586 0.835451i
\(559\) 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 \(-0.757447\pi\)
0.236151 + 0.971716i \(0.424114\pi\)
\(564\) 3.81292 + 1.40913i 0.160553 + 0.0593351i
\(565\) −22.9003 13.2215i −0.963423 0.556233i
\(566\) 0.218993 + 1.22618i 0.00920497 + 0.0515401i
\(567\) 23.7678 + 1.44698i 0.998152 + 0.0607673i
\(568\) 14.4192 + 24.5980i 0.605014 + 1.03211i
\(569\) 39.4279 + 22.7637i 1.65290 + 0.954305i 0.975870 + 0.218353i \(0.0700685\pi\)
0.677034 + 0.735951i \(0.263265\pi\)
\(570\) 10.5303 17.9422i 0.441068 0.751516i
\(571\) 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
\(576\) −22.5074 8.33156i −0.937810 0.347148i
\(577\) −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
\(579\) −0.968801 + 5.20943i −0.0402620 + 0.216496i
\(580\) 17.9762 6.63259i 0.746420 0.275403i
\(581\) −1.67495 + 4.28630i −0.0694885 + 0.177826i
\(582\) 10.7477 + 18.9262i 0.445508 + 0.784517i
\(583\) −4.81928 2.78241i −0.199594 0.115236i
\(584\) −12.4471 + 21.8916i −0.515063 + 0.905882i
\(585\) −14.3373 + 37.2140i −0.592774 + 1.53861i
\(586\) 29.4300 + 10.6383i 1.21574 + 0.439464i
\(587\) 28.5925i 1.18014i −0.807352 0.590070i \(-0.799100\pi\)
0.807352 0.590070i \(-0.200900\pi\)
\(588\) 13.1963 20.3435i 0.544207 0.838951i
\(589\) 11.2306i 0.462750i
\(590\) 14.0328 38.8206i 0.577722 1.59822i
\(591\) 19.1843 + 16.4052i 0.789137 + 0.674821i
\(592\) 11.2695 31.8322i 0.463173 1.30830i
\(593\) 4.49943 + 2.59775i 0.184770 + 0.106677i 0.589532 0.807745i \(-0.299312\pi\)
−0.404762 + 0.914422i \(0.632646\pi\)
\(594\) 7.05146 17.9206i 0.289325 0.735292i
\(595\) 0.770526 1.97183i 0.0315885 0.0808371i
\(596\) −27.7221 + 10.2285i −1.13554 + 0.418975i
\(597\) −29.5702 5.49920i −1.21023 0.225067i
\(598\) −15.2085 18.0440i −0.621922 0.737872i
\(599\) −22.7140 39.3418i −0.928069 1.60746i −0.786550 0.617527i \(-0.788135\pi\)
−0.141519 0.989936i \(-0.545199\pi\)
\(600\) −40.7884 + 14.7197i −1.66518 + 0.600930i
\(601\) 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
\(606\) −18.3181 + 31.2114i −0.744121 + 1.26788i
\(607\) −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
\(609\) 5.56000 + 10.4037i 0.225303 + 0.421581i
\(610\) 1.80266 0.321952i 0.0729877 0.0130355i
\(611\) −3.62984 2.09569i −0.146848 0.0847825i
\(612\) 0.0184081 1.28984i 0.000744104 0.0521389i
\(613\) 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 \(0.111094\pi\)
−0.939711 + 0.341971i \(0.888906\pi\)
\(618\) −0.131210 + 18.3886i −0.00527806 + 0.739697i
\(619\) −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
\(621\) 11.5439 + 21.3545i 0.463242 + 0.856925i
\(622\) 2.91998 + 16.3495i 0.117081 + 0.655554i
\(623\) 29.5206 + 36.9056i 1.18272 + 1.47859i
\(624\) 21.4244 + 12.3845i 0.857661 + 0.495777i
\(625\) −4.54562 + 7.87325i −0.181825 + 0.314930i
\(626\) −0.742927 + 0.626183i −0.0296933 + 0.0250273i
\(627\) 6.73218 7.87263i 0.268857 0.314403i
\(628\) −42.3323 7.27225i −1.68924 0.290194i
\(629\) 1.81501 0.0723691
\(630\) −19.4275 36.9846i −0.774008 1.47350i
\(631\) 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
\(633\) 27.9975 + 23.9417i 1.11280 + 0.951597i
\(634\) 35.5838 29.9922i 1.41321 1.19114i
\(635\) 8.15754 + 4.70976i 0.323722 + 0.186901i
\(636\) −5.65810 + 4.70034i −0.224358 + 0.186380i
\(637\) −16.9520 + 18.3785i −0.671661 + 0.728182i
\(638\) 9.39173 1.67735i 0.371822 0.0664068i
\(639\) 4.69446 + 29.8757i 0.185710 + 1.18186i
\(640\) 7.95004 + 41.3496i 0.314253 + 1.63448i
\(641\) −22.9318 + 13.2397i −0.905752 + 0.522936i −0.879062 0.476707i \(-0.841830\pi\)
−0.0266904 + 0.999644i \(0.508497\pi\)
\(642\) −0.220777 + 30.9410i −0.00871339 + 1.22114i
\(643\) −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 \(-0.0485034\pi\)
−0.625659 + 0.780096i \(0.715170\pi\)
\(648\) −18.9881 16.9544i −0.745924 0.666031i
\(649\) 10.2766 17.7997i 0.403394 0.698698i
\(650\) 44.0152 7.86103i 1.72642 0.308335i
\(651\) −19.1505 11.9104i −0.750569 0.466805i
\(652\) −2.83815 + 1.04718i −0.111151 + 0.0410107i
\(653\) −8.95898 + 15.5174i −0.350592 + 0.607243i −0.986353 0.164643i \(-0.947353\pi\)
0.635761 + 0.771886i \(0.280686\pi\)
\(654\) −27.3876 16.0739i −1.07094 0.628539i
\(655\) 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 \(-0.204211\pi\)
\(660\) −33.3025 + 5.70288i −1.29630 + 0.221984i
\(661\) 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
\(663\) −0.243188 + 1.30767i −0.00944464 + 0.0507856i
\(664\) 4.24423 2.48793i 0.164708 0.0965504i
\(665\) −3.38195 22.2151i −0.131147 0.861463i
\(666\) 23.4713 27.0542i 0.909494 1.04833i
\(667\) −6.01287 + 10.4146i −0.232819 + 0.403254i
\(668\) 11.0976 + 9.22905i 0.429381 + 0.357083i
\(669\) 7.52842 8.80376i 0.291066 0.340373i
\(670\) −49.3738 17.8476i −1.90747 0.689511i
\(671\) 0.911768 0.0351984
\(672\) −24.5470 + 8.33348i −0.946919 + 0.321471i
\(673\) 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
\(675\) −45.9756 1.28819i −1.76960 0.0495825i
\(676\) 0.372270 + 0.309588i 0.0143181 + 0.0119072i
\(677\) 5.13682 8.89723i 0.197424 0.341948i −0.750268 0.661133i \(-0.770076\pi\)
0.947692 + 0.319185i \(0.103409\pi\)
\(678\) −15.1336 + 8.59402i −0.581204 + 0.330051i
\(679\) 21.8965 + 8.55642i 0.840310 + 0.328365i
\(680\) −1.95247 + 1.14452i −0.0748739 + 0.0438905i
\(681\) −40.8274 7.59269i −1.56451 0.290953i
\(682\) −13.9463 + 11.7547i −0.534031 + 0.450113i
\(683\) −30.7725 + 17.7665i −1.17748 + 0.679817i −0.955430 0.295218i \(-0.904608\pi\)
−0.222048 + 0.975036i \(0.571274\pi\)
\(684\) −6.67624 11.9544i −0.255273 0.457087i
\(685\) 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
\(690\) 21.5573 36.7306i 0.820673 1.39831i
\(691\) 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
\(693\) −6.28480 19.8289i −0.238740 0.753237i
\(694\) −7.38138 + 1.31830i −0.280193 + 0.0500420i
\(695\) −14.0297 + 24.3002i −0.532177 + 0.921758i
\(696\) 2.22374 12.4131i 0.0842907 0.470517i
\(697\) −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 \(-0.798063\pi\)
−0.805426 + 0.592696i \(0.798063\pi\)
\(702\) 16.3470 + 20.5354i 0.616978 + 0.775059i
\(703\) 16.6842 9.63261i 0.629255 0.363301i
\(704\) 0.276978 + 20.9637i 0.0104390 + 0.790097i
\(705\) 1.38305 7.43691i 0.0520886 0.280090i
\(706\) −39.5004 + 7.05471i −1.48662 + 0.265507i
\(707\) 5.88308 + 38.6442i 0.221256 + 1.45336i
\(708\) −17.3603 20.8978i −0.652442 0.785386i
\(709\) 24.7114 + 14.2671i 0.928054 + 0.535812i 0.886196 0.463311i \(-0.153339\pi\)
0.0418586 + 0.999124i \(0.486672\pi\)
\(710\) 40.5701 34.1949i 1.52257 1.28331i
\(711\) −12.0919 + 31.3860i −0.453483 + 1.17707i
\(712\) −0.333739 50.5218i −0.0125074 1.89338i
\(713\) 22.9909i 0.861017i
\(714\) −0.862552 1.09425i −0.0322802 0.0409513i
\(715\) 34.8380 1.30287
\(716\) 16.6004 + 2.85177i 0.620385 + 0.106576i
\(717\) 27.0462 + 23.1282i 1.01006 + 0.863740i
\(718\) −0.126918 + 0.106974i −0.00473653 + 0.00399223i
\(719\) 25.0072 43.3138i 0.932612 1.61533i 0.153775 0.988106i \(-0.450857\pi\)
0.778837 0.627226i \(-0.215810\pi\)
\(720\) −8.18890 + 43.9039i −0.305182 + 1.63620i
\(721\) 12.4070 + 15.5108i 0.462059 + 0.577651i
\(722\) 3.42933 + 19.2013i 0.127626 + 0.714600i
\(723\) −3.90573 + 21.0019i −0.145256 + 0.781068i
\(724\) 7.82998 9.41530i 0.290999 0.349917i
\(725\) −11.3925 19.7324i −0.423108 0.732844i
\(726\) 10.1211 + 0.0722181i 0.375628 + 0.00268026i
\(727\) 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
\(732\) 0.417786 1.13047i 0.0154418 0.0417835i
\(733\) 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
\(735\) −41.4679 17.7927i −1.52957 0.656294i
\(736\) −20.4303 16.7632i −0.753069 0.617900i
\(737\) −22.6384 13.0703i −0.833897 0.481450i
\(738\) −3.78827 0.732509i −0.139448 0.0269640i
\(739\) 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 \(-0.307510\pi\)
0.568535 + 0.822659i \(0.307510\pi\)
\(744\) 8.18395 + 22.6778i 0.300038 + 0.831407i
\(745\) 27.4934 + 47.6200i 1.00728 + 1.74466i
\(746\) −0.0824914 0.0978710i −0.00302023 0.00358331i
\(747\) 5.15486 0.809998i 0.188606 0.0296363i
\(748\) −1.05721 + 0.390073i −0.0386553 + 0.0142625i
\(749\) 20.8762 + 26.0988i 0.762800 + 0.953628i
\(750\) 17.3384 + 30.5320i 0.633109 + 1.11487i
\(751\) −32.0364 18.4962i −1.16902 0.674936i −0.215574 0.976488i \(-0.569162\pi\)
−0.953450 + 0.301551i \(0.902496\pi\)
\(752\) −4.42472 1.56647i −0.161353 0.0571234i
\(753\) 23.9745 28.0359i 0.873680 1.02168i
\(754\) −4.42032 + 12.2285i −0.160979 + 0.445334i
\(755\) 13.6974i 0.498501i
\(756\) −27.4650 1.29356i −0.998893 0.0470463i
\(757\) 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
\(759\) 13.7819 16.1165i 0.500249 0.584993i
\(760\) −11.8736 + 20.8830i −0.430700 + 0.757506i
\(761\) 35.5006 + 20.4963i 1.28689 + 0.742989i 0.978099 0.208140i \(-0.0667409\pi\)
0.308795 + 0.951129i \(0.400074\pi\)
\(762\) 5.39090 3.06136i 0.195292 0.110901i
\(763\) −33.9098 + 5.16233i −1.22762 + 0.186889i
\(764\) 28.3884 10.4743i 1.02706 0.378948i
\(765\) −2.37139 + 0.372624i −0.0857378 + 0.0134722i
\(766\) −27.0015 + 22.7585i −0.975604 + 0.822297i
\(767\) 14.0064 + 24.2598i 0.505741 + 0.875970i
\(768\) 26.1191 + 9.26244i 0.942492 + 0.334230i
\(769\) −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