Properties

Label 177.2.f.a.8.3
Level $177$
Weight $2$
Character 177.8
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 8.3
Character \(\chi\) \(=\) 177.8
Dual form 177.2.f.a.155.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.317307 + 1.93549i) q^{2} +(1.61303 + 0.630969i) q^{3} +(-1.75012 - 0.589685i) q^{4} +(2.92507 - 1.98325i) q^{5} +(-1.73306 + 2.92180i) q^{6} +(-2.73852 + 0.602794i) q^{7} +(-0.140747 + 0.265477i) q^{8} +(2.20376 + 2.03555i) q^{9} +O(q^{10})\) \(q+(-0.317307 + 1.93549i) q^{2} +(1.61303 + 0.630969i) q^{3} +(-1.75012 - 0.589685i) q^{4} +(2.92507 - 1.98325i) q^{5} +(-1.73306 + 2.92180i) q^{6} +(-2.73852 + 0.602794i) q^{7} +(-0.140747 + 0.265477i) q^{8} +(2.20376 + 2.03555i) q^{9} +(2.91041 + 6.29074i) q^{10} +(2.01160 - 1.52918i) q^{11} +(-2.45094 - 2.05546i) q^{12} +(-2.03098 - 3.37551i) q^{13} +(-0.297748 - 5.49164i) q^{14} +(5.96961 - 1.35342i) q^{15} +(-3.40961 - 2.59192i) q^{16} +(-1.04883 + 4.76487i) q^{17} +(-4.63905 + 3.61945i) q^{18} +(-5.48029 + 0.596018i) q^{19} +(-6.28873 + 1.74606i) q^{20} +(-4.79767 - 0.755593i) q^{21} +(2.32141 + 4.37865i) q^{22} +(-5.39194 - 6.34788i) q^{23} +(-0.394538 + 0.339417i) q^{24} +(2.77209 - 6.95741i) q^{25} +(7.17771 - 2.85986i) q^{26} +(2.27037 + 4.67391i) q^{27} +(5.14821 + 0.559901i) q^{28} +(4.96592 - 0.814121i) q^{29} +(0.725325 + 11.9836i) q^{30} +(-0.0516452 + 0.474870i) q^{31} +(5.66223 - 5.36355i) q^{32} +(4.20965 - 1.19736i) q^{33} +(-8.88956 - 3.54192i) q^{34} +(-6.81488 + 7.19438i) q^{35} +(-2.65651 - 4.86198i) q^{36} +(4.35883 - 2.31091i) q^{37} +(0.585351 - 10.7962i) q^{38} +(-1.14619 - 6.72630i) q^{39} +(0.114812 + 1.05568i) q^{40} +(5.04670 + 4.28671i) q^{41} +(2.98478 - 9.04608i) q^{42} +(-1.09884 + 1.44550i) q^{43} +(-4.42229 + 1.49004i) q^{44} +(10.4831 + 1.58353i) q^{45} +(13.9971 - 8.42180i) q^{46} +(-2.14776 + 3.16771i) q^{47} +(-3.86440 - 6.33222i) q^{48} +(0.783101 - 0.362301i) q^{49} +(12.5864 + 7.57298i) q^{50} +(-4.69828 + 7.02413i) q^{51} +(1.56397 + 7.10520i) q^{52} +(-2.23874 + 4.83896i) q^{53} +(-9.76670 + 2.91121i) q^{54} +(2.85134 - 8.46247i) q^{55} +(0.225411 - 0.811856i) q^{56} +(-9.21597 - 2.49650i) q^{57} +9.86981i q^{58} +(7.29534 - 2.40374i) q^{59} +(-11.2456 - 1.15154i) q^{60} +(10.4904 + 1.71981i) q^{61} +(-0.902718 - 0.250638i) q^{62} +(-7.26205 - 4.24598i) q^{63} +(3.77737 + 5.57120i) q^{64} +(-12.6352 - 5.84569i) q^{65} +(0.981728 + 8.52765i) q^{66} +(-2.77767 - 1.47262i) q^{67} +(4.64536 - 7.72064i) q^{68} +(-4.69207 - 13.6415i) q^{69} +(-11.7622 - 15.4729i) q^{70} +(-2.09285 - 1.41899i) q^{71} +(-0.850564 + 0.298550i) q^{72} +(-4.66322 + 0.252832i) q^{73} +(3.08964 + 9.16973i) q^{74} +(8.86138 - 9.47344i) q^{75} +(9.94265 + 2.18854i) q^{76} +(-4.58703 + 5.40027i) q^{77} +(13.3824 - 0.0841429i) q^{78} +(0.406217 + 1.46306i) q^{79} +(-15.1138 - 0.819446i) q^{80} +(0.713091 + 8.97171i) q^{81} +(-9.89822 + 8.40762i) q^{82} +(-0.830942 - 0.787110i) q^{83} +(7.95095 + 4.15150i) q^{84} +(6.38203 + 16.0177i) q^{85} +(-2.44908 - 2.58546i) q^{86} +(8.52388 + 1.82014i) q^{87} +(0.122835 + 0.749262i) q^{88} +(-1.85800 - 11.3333i) q^{89} +(-6.39128 + 19.7875i) q^{90} +(7.59661 + 8.01965i) q^{91} +(5.69331 + 14.2891i) q^{92} +(-0.382934 + 0.733395i) q^{93} +(-5.44957 - 5.16211i) q^{94} +(-14.8482 + 12.6122i) q^{95} +(12.5176 - 5.07890i) q^{96} +(-11.0444 - 0.598809i) q^{97} +(0.452746 + 1.63064i) q^{98} +(7.54580 + 0.724770i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{58}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.317307 + 1.93549i −0.224370 + 1.36860i 0.598844 + 0.800866i \(0.295627\pi\)
−0.823214 + 0.567731i \(0.807821\pi\)
\(3\) 1.61303 + 0.630969i 0.931286 + 0.364290i
\(4\) −1.75012 0.589685i −0.875062 0.294843i
\(5\) 2.92507 1.98325i 1.30813 0.886936i 0.310166 0.950682i \(-0.399615\pi\)
0.997966 + 0.0637465i \(0.0203049\pi\)
\(6\) −1.73306 + 2.92180i −0.707519 + 1.19282i
\(7\) −2.73852 + 0.602794i −1.03506 + 0.227835i −0.699837 0.714303i \(-0.746744\pi\)
−0.335226 + 0.942138i \(0.608813\pi\)
\(8\) −0.140747 + 0.265477i −0.0497616 + 0.0938604i
\(9\) 2.20376 + 2.03555i 0.734586 + 0.678516i
\(10\) 2.91041 + 6.29074i 0.920352 + 1.98931i
\(11\) 2.01160 1.52918i 0.606521 0.461065i −0.256285 0.966601i \(-0.582498\pi\)
0.862805 + 0.505536i \(0.168705\pi\)
\(12\) −2.45094 2.05546i −0.707524 0.593359i
\(13\) −2.03098 3.37551i −0.563292 0.936199i −0.999342 0.0362761i \(-0.988450\pi\)
0.436050 0.899923i \(-0.356377\pi\)
\(14\) −0.297748 5.49164i −0.0795766 1.46770i
\(15\) 5.96961 1.35342i 1.54135 0.349451i
\(16\) −3.40961 2.59192i −0.852403 0.647980i
\(17\) −1.04883 + 4.76487i −0.254378 + 1.15565i 0.660151 + 0.751133i \(0.270492\pi\)
−0.914530 + 0.404519i \(0.867439\pi\)
\(18\) −4.63905 + 3.61945i −1.09343 + 0.853113i
\(19\) −5.48029 + 0.596018i −1.25727 + 0.136736i −0.712392 0.701782i \(-0.752388\pi\)
−0.544874 + 0.838518i \(0.683422\pi\)
\(20\) −6.28873 + 1.74606i −1.40620 + 0.390430i
\(21\) −4.79767 0.755593i −1.04694 0.164884i
\(22\) 2.32141 + 4.37865i 0.494927 + 0.933531i
\(23\) −5.39194 6.34788i −1.12430 1.32362i −0.940164 0.340723i \(-0.889328\pi\)
−0.184133 0.982901i \(-0.558948\pi\)
\(24\) −0.394538 + 0.339417i −0.0805347 + 0.0692832i
\(25\) 2.77209 6.95741i 0.554417 1.39148i
\(26\) 7.17771 2.85986i 1.40766 0.560865i
\(27\) 2.27037 + 4.67391i 0.436933 + 0.899494i
\(28\) 5.14821 + 0.559901i 0.972920 + 0.105811i
\(29\) 4.96592 0.814121i 0.922148 0.151179i 0.318037 0.948078i \(-0.396976\pi\)
0.604112 + 0.796900i \(0.293528\pi\)
\(30\) 0.725325 + 11.9836i 0.132426 + 2.18789i
\(31\) −0.0516452 + 0.474870i −0.00927576 + 0.0852892i −0.997861 0.0653749i \(-0.979176\pi\)
0.988585 + 0.150664i \(0.0481412\pi\)
\(32\) 5.66223 5.36355i 1.00095 0.948151i
\(33\) 4.20965 1.19736i 0.732805 0.208434i
\(34\) −8.88956 3.54192i −1.52455 0.607435i
\(35\) −6.81488 + 7.19438i −1.15192 + 1.21607i
\(36\) −2.65651 4.86198i −0.442752 0.810331i
\(37\) 4.35883 2.31091i 0.716587 0.379911i −0.0698691 0.997556i \(-0.522258\pi\)
0.786457 + 0.617646i \(0.211913\pi\)
\(38\) 0.585351 10.7962i 0.0949564 1.75137i
\(39\) −1.14619 6.72630i −0.183538 1.07707i
\(40\) 0.114812 + 1.05568i 0.0181533 + 0.166917i
\(41\) 5.04670 + 4.28671i 0.788162 + 0.669471i 0.948212 0.317638i \(-0.102890\pi\)
−0.160050 + 0.987109i \(0.551166\pi\)
\(42\) 2.98478 9.04608i 0.460561 1.39584i
\(43\) −1.09884 + 1.44550i −0.167571 + 0.220437i −0.872212 0.489128i \(-0.837315\pi\)
0.704641 + 0.709564i \(0.251108\pi\)
\(44\) −4.42229 + 1.49004i −0.666685 + 0.224632i
\(45\) 10.4831 + 1.58353i 1.56274 + 0.236058i
\(46\) 13.9971 8.42180i 2.06377 1.24173i
\(47\) −2.14776 + 3.16771i −0.313283 + 0.462058i −0.951434 0.307853i \(-0.900389\pi\)
0.638151 + 0.769912i \(0.279700\pi\)
\(48\) −3.86440 6.33222i −0.557778 0.913977i
\(49\) 0.783101 0.362301i 0.111872 0.0517573i
\(50\) 12.5864 + 7.57298i 1.77998 + 1.07098i
\(51\) −4.69828 + 7.02413i −0.657891 + 0.983574i
\(52\) 1.56397 + 7.10520i 0.216884 + 0.985314i
\(53\) −2.23874 + 4.83896i −0.307515 + 0.664682i −0.998294 0.0583832i \(-0.981405\pi\)
0.690779 + 0.723066i \(0.257268\pi\)
\(54\) −9.76670 + 2.91121i −1.32908 + 0.396165i
\(55\) 2.85134 8.46247i 0.384474 1.14108i
\(56\) 0.225411 0.811856i 0.0301218 0.108489i
\(57\) −9.21597 2.49650i −1.22068 0.330669i
\(58\) 9.86981i 1.29597i
\(59\) 7.29534 2.40374i 0.949773 0.312940i
\(60\) −11.2456 1.15154i −1.45181 0.148663i
\(61\) 10.4904 + 1.71981i 1.34316 + 0.220199i 0.790117 0.612957i \(-0.210020\pi\)
0.553039 + 0.833156i \(0.313468\pi\)
\(62\) −0.902718 0.250638i −0.114645 0.0318311i
\(63\) −7.26205 4.24598i −0.914932 0.534943i
\(64\) 3.77737 + 5.57120i 0.472171 + 0.696400i
\(65\) −12.6352 5.84569i −1.56721 0.725068i
\(66\) 0.981728 + 8.52765i 0.120842 + 1.04968i
\(67\) −2.77767 1.47262i −0.339346 0.179910i 0.290017 0.957022i \(-0.406339\pi\)
−0.629363 + 0.777112i \(0.716684\pi\)
\(68\) 4.64536 7.72064i 0.563332 0.936265i
\(69\) −4.69207 13.6415i −0.564858 1.64224i
\(70\) −11.7622 15.4729i −1.40586 1.84937i
\(71\) −2.09285 1.41899i −0.248376 0.168403i 0.430646 0.902521i \(-0.358286\pi\)
−0.679022 + 0.734118i \(0.737596\pi\)
\(72\) −0.850564 + 0.298550i −0.100240 + 0.0351845i
\(73\) −4.66322 + 0.252832i −0.545788 + 0.0295918i −0.324972 0.945724i \(-0.605355\pi\)
−0.220816 + 0.975315i \(0.570872\pi\)
\(74\) 3.08964 + 9.16973i 0.359164 + 1.06596i
\(75\) 8.86138 9.47344i 1.02322 1.09390i
\(76\) 9.94265 + 2.18854i 1.14050 + 0.251043i
\(77\) −4.58703 + 5.40027i −0.522741 + 0.615418i
\(78\) 13.3824 0.0841429i 1.51525 0.00952730i
\(79\) 0.406217 + 1.46306i 0.0457030 + 0.164607i 0.982880 0.184247i \(-0.0589846\pi\)
−0.937177 + 0.348854i \(0.886571\pi\)
\(80\) −15.1138 0.819446i −1.68977 0.0916169i
\(81\) 0.713091 + 8.97171i 0.0792323 + 0.996856i
\(82\) −9.89822 + 8.40762i −1.09308 + 0.928467i
\(83\) −0.830942 0.787110i −0.0912077 0.0863965i 0.640738 0.767760i \(-0.278629\pi\)
−0.731945 + 0.681364i \(0.761387\pi\)
\(84\) 7.95095 + 4.15150i 0.867520 + 0.452965i
\(85\) 6.38203 + 16.0177i 0.692229 + 1.73736i
\(86\) −2.44908 2.58546i −0.264091 0.278797i
\(87\) 8.52388 + 1.82014i 0.913856 + 0.195139i
\(88\) 0.122835 + 0.749262i 0.0130943 + 0.0798716i
\(89\) −1.85800 11.3333i −0.196948 1.20133i −0.881435 0.472305i \(-0.843422\pi\)
0.684487 0.729025i \(-0.260026\pi\)
\(90\) −6.39128 + 19.7875i −0.673700 + 2.08579i
\(91\) 7.59661 + 8.01965i 0.796341 + 0.840687i
\(92\) 5.69331 + 14.2891i 0.593568 + 1.48974i
\(93\) −0.382934 + 0.733395i −0.0397084 + 0.0760495i
\(94\) −5.44957 5.16211i −0.562080 0.532430i
\(95\) −14.8482 + 12.6122i −1.52339 + 1.29398i
\(96\) 12.5176 5.07890i 1.27757 0.518363i
\(97\) −11.0444 0.598809i −1.12139 0.0607999i −0.515896 0.856651i \(-0.672541\pi\)
−0.605492 + 0.795852i \(0.707024\pi\)
\(98\) 0.452746 + 1.63064i 0.0457342 + 0.164720i
\(99\) 7.54580 + 0.724770i 0.758381 + 0.0728422i
\(100\) −8.95418 + 10.5417i −0.895418 + 1.05417i
\(101\) −3.38838 0.745839i −0.337156 0.0742137i 0.0431655 0.999068i \(-0.486256\pi\)
−0.380322 + 0.924854i \(0.624187\pi\)
\(102\) −12.1043 11.3223i −1.19851 1.12107i
\(103\) 1.52377 + 4.52239i 0.150142 + 0.445604i 0.996160 0.0875489i \(-0.0279034\pi\)
−0.846019 + 0.533153i \(0.821007\pi\)
\(104\) 1.18198 0.0640849i 0.115902 0.00628404i
\(105\) −15.5321 + 7.30481i −1.51577 + 0.712876i
\(106\) −8.65538 5.86849i −0.840685 0.569999i
\(107\) 7.36764 + 9.69196i 0.712256 + 0.936957i 0.999783 0.0208154i \(-0.00662624\pi\)
−0.287527 + 0.957773i \(0.592833\pi\)
\(108\) −1.21729 9.51872i −0.117134 0.915939i
\(109\) 2.27824 3.78647i 0.218216 0.362678i −0.728341 0.685215i \(-0.759708\pi\)
0.946557 + 0.322537i \(0.104536\pi\)
\(110\) 15.4743 + 8.20393i 1.47541 + 0.782214i
\(111\) 8.48905 0.977284i 0.805745 0.0927597i
\(112\) 10.8997 + 5.04273i 1.02992 + 0.476493i
\(113\) 2.50884 + 3.70026i 0.236012 + 0.348091i 0.927189 0.374594i \(-0.122218\pi\)
−0.691177 + 0.722685i \(0.742908\pi\)
\(114\) 7.75623 17.0452i 0.726438 1.59643i
\(115\) −28.3612 7.87446i −2.64470 0.734297i
\(116\) −9.17105 1.50352i −0.851511 0.139598i
\(117\) 2.39523 11.5730i 0.221439 1.06992i
\(118\) 2.33755 + 14.8828i 0.215189 + 1.37007i
\(119\) 13.6809i 1.25413i
\(120\) −0.480904 + 1.77529i −0.0439003 + 0.162061i
\(121\) −1.23466 + 4.44685i −0.112242 + 0.404259i
\(122\) −6.65734 + 19.7583i −0.602728 + 1.78883i
\(123\) 5.43572 + 10.0989i 0.490122 + 0.910588i
\(124\) 0.370409 0.800627i 0.0332637 0.0718984i
\(125\) −1.89117 8.59167i −0.169151 0.768463i
\(126\) 10.5223 12.7083i 0.937404 1.13215i
\(127\) −14.8793 8.95260i −1.32033 0.794415i −0.331497 0.943456i \(-0.607554\pi\)
−0.988831 + 0.149041i \(0.952381\pi\)
\(128\) 2.17526 1.00638i 0.192268 0.0889526i
\(129\) −2.68453 + 1.63831i −0.236360 + 0.144245i
\(130\) 15.3235 22.6005i 1.34396 1.98219i
\(131\) 13.0645 7.86064i 1.14145 0.686788i 0.186178 0.982516i \(-0.440390\pi\)
0.955272 + 0.295729i \(0.0955624\pi\)
\(132\) −8.07347 0.386836i −0.702705 0.0336698i
\(133\) 14.6486 4.93569i 1.27020 0.427979i
\(134\) 3.73162 4.90886i 0.322363 0.424061i
\(135\) 15.9105 + 9.16882i 1.36936 + 0.789127i
\(136\) −1.11735 0.949083i −0.0958117 0.0813832i
\(137\) 0.408724 + 3.75816i 0.0349197 + 0.321081i 0.998550 + 0.0538407i \(0.0171463\pi\)
−0.963630 + 0.267241i \(0.913888\pi\)
\(138\) 27.8918 4.75289i 2.37430 0.404593i
\(139\) 0.313579 5.78363i 0.0265974 0.490561i −0.954641 0.297761i \(-0.903760\pi\)
0.981238 0.192800i \(-0.0617569\pi\)
\(140\) 16.1693 8.57242i 1.36656 0.724502i
\(141\) −5.46314 + 3.75446i −0.460079 + 0.316182i
\(142\) 3.41052 3.60044i 0.286204 0.302142i
\(143\) −9.24728 3.68445i −0.773297 0.308110i
\(144\) −2.23798 12.6524i −0.186498 1.05437i
\(145\) 12.9111 12.2300i 1.07221 1.01565i
\(146\) 0.990318 9.10582i 0.0819593 0.753603i
\(147\) 1.49177 0.0902918i 0.123039 0.00744714i
\(148\) −8.99120 + 1.47403i −0.739072 + 0.121165i
\(149\) −2.81878 0.306561i −0.230924 0.0251145i −0.00807447 0.999967i \(-0.502570\pi\)
−0.222849 + 0.974853i \(0.571536\pi\)
\(150\) 15.5240 + 20.1571i 1.26753 + 1.64582i
\(151\) −12.8488 + 5.11941i −1.04562 + 0.416612i −0.828768 0.559593i \(-0.810957\pi\)
−0.216850 + 0.976205i \(0.569578\pi\)
\(152\) 0.613107 1.53878i 0.0497295 0.124812i
\(153\) −12.0105 + 8.36569i −0.970991 + 0.676326i
\(154\) −8.99666 10.5917i −0.724971 0.853502i
\(155\) 0.790719 + 1.49145i 0.0635121 + 0.119797i
\(156\) −1.96042 + 12.4478i −0.156959 + 0.996618i
\(157\) −1.16061 + 0.322242i −0.0926268 + 0.0257177i −0.313533 0.949577i \(-0.601512\pi\)
0.220906 + 0.975295i \(0.429099\pi\)
\(158\) −2.96064 + 0.321989i −0.235536 + 0.0256160i
\(159\) −6.66440 + 6.39283i −0.528521 + 0.506985i
\(160\) 5.92519 26.9184i 0.468427 2.12809i
\(161\) 18.5924 + 14.1336i 1.46529 + 1.11388i
\(162\) −17.5909 1.46661i −1.38207 0.115228i
\(163\) 0.783382 + 14.4486i 0.0613592 + 1.13170i 0.853407 + 0.521245i \(0.174532\pi\)
−0.792048 + 0.610459i \(0.790985\pi\)
\(164\) −6.30454 10.4782i −0.492302 0.818212i
\(165\) 9.93886 11.8511i 0.773739 0.922610i
\(166\) 1.78711 1.35852i 0.138706 0.105442i
\(167\) 4.86358 + 10.5125i 0.376355 + 0.813478i 0.999508 + 0.0313779i \(0.00998953\pi\)
−0.623152 + 0.782100i \(0.714148\pi\)
\(168\) 0.875851 1.16732i 0.0675734 0.0900611i
\(169\) −1.17990 + 2.22553i −0.0907616 + 0.171195i
\(170\) −33.0271 + 7.26982i −2.53306 + 0.557570i
\(171\) −13.2905 9.84192i −1.01635 0.752630i
\(172\) 2.77549 1.88183i 0.211630 0.143488i
\(173\) −13.2431 4.46213i −1.00686 0.339250i −0.232909 0.972499i \(-0.574824\pi\)
−0.773948 + 0.633249i \(0.781721\pi\)
\(174\) −6.22754 + 15.9203i −0.472109 + 1.20692i
\(175\) −3.39753 + 20.7240i −0.256829 + 1.56659i
\(176\) −10.8223 −0.815761
\(177\) 13.2843 + 0.725817i 0.998511 + 0.0545557i
\(178\) 22.5251 1.68833
\(179\) −3.59827 + 21.9485i −0.268948 + 1.64051i 0.414170 + 0.910199i \(0.364072\pi\)
−0.683118 + 0.730308i \(0.739377\pi\)
\(180\) −17.4130 8.95313i −1.29789 0.667327i
\(181\) 13.4277 + 4.52433i 0.998077 + 0.336291i 0.770480 0.637464i \(-0.220017\pi\)
0.227597 + 0.973755i \(0.426913\pi\)
\(182\) −17.9324 + 12.1585i −1.32924 + 0.901245i
\(183\) 15.8362 + 9.39321i 1.17064 + 0.694366i
\(184\) 2.44412 0.537991i 0.180183 0.0396612i
\(185\) 8.16680 15.4042i 0.600435 1.13254i
\(186\) −1.29797 0.973875i −0.0951717 0.0714080i
\(187\) 5.17652 + 11.1889i 0.378545 + 0.818211i
\(188\) 5.62680 4.27738i 0.410377 0.311960i
\(189\) −9.03485 11.4310i −0.657189 0.831485i
\(190\) −19.6993 32.7405i −1.42914 2.37524i
\(191\) 0.830614 + 15.3198i 0.0601011 + 1.10850i 0.860638 + 0.509217i \(0.170065\pi\)
−0.800537 + 0.599283i \(0.795452\pi\)
\(192\) 2.57777 + 11.3699i 0.186035 + 0.820555i
\(193\) −14.6765 11.1568i −1.05644 0.803083i −0.0754494 0.997150i \(-0.524039\pi\)
−0.980988 + 0.194067i \(0.937832\pi\)
\(194\) 4.66345 21.1863i 0.334816 1.52109i
\(195\) −16.6926 17.4017i −1.19538 1.24616i
\(196\) −1.58417 + 0.172289i −0.113155 + 0.0123063i
\(197\) 26.1430 7.25858i 1.86261 0.517152i 0.862679 0.505752i \(-0.168785\pi\)
0.999935 0.0114000i \(-0.00362880\pi\)
\(198\) −3.79712 + 14.3748i −0.269850 + 1.02157i
\(199\) 7.20346 + 13.5872i 0.510640 + 0.963169i 0.996043 + 0.0888780i \(0.0283281\pi\)
−0.485403 + 0.874291i \(0.661327\pi\)
\(200\) 1.45687 + 1.71516i 0.103016 + 0.121280i
\(201\) −3.55129 4.12801i −0.250489 0.291168i
\(202\) 2.51872 6.32151i 0.177216 0.444780i
\(203\) −13.1085 + 5.22291i −0.920038 + 0.366577i
\(204\) 12.3646 9.52258i 0.865695 0.666714i
\(205\) 23.2636 + 2.53007i 1.62480 + 0.176707i
\(206\) −9.23654 + 1.51425i −0.643540 + 0.105503i
\(207\) 1.03889 24.9647i 0.0722080 1.73517i
\(208\) −1.82421 + 16.7733i −0.126486 + 1.16302i
\(209\) −10.1127 + 9.57930i −0.699513 + 0.662614i
\(210\) −9.20993 32.3800i −0.635546 2.23443i
\(211\) −12.1728 4.85010i −0.838012 0.333895i −0.0886566 0.996062i \(-0.528257\pi\)
−0.749356 + 0.662168i \(0.769637\pi\)
\(212\) 6.77154 7.14863i 0.465071 0.490970i
\(213\) −2.48051 3.60940i −0.169961 0.247312i
\(214\) −21.0965 + 11.1846i −1.44213 + 0.764566i
\(215\) −0.347403 + 6.40746i −0.0236927 + 0.436985i
\(216\) −1.56037 0.0551083i −0.106169 0.00374964i
\(217\) −0.144817 1.33157i −0.00983083 0.0903930i
\(218\) 6.60577 + 5.61099i 0.447399 + 0.380024i
\(219\) −7.68145 2.53452i −0.519065 0.171267i
\(220\) −9.98039 + 13.1290i −0.672878 + 0.885155i
\(221\) 18.2140 6.13702i 1.22521 0.412821i
\(222\) −0.802115 + 16.7406i −0.0538345 + 1.12355i
\(223\) 20.4891 12.3279i 1.37205 0.825535i 0.377126 0.926162i \(-0.376912\pi\)
0.994924 + 0.100626i \(0.0320847\pi\)
\(224\) −12.2730 + 18.1014i −0.820026 + 1.20945i
\(225\) 20.2711 9.68973i 1.35141 0.645982i
\(226\) −7.95788 + 3.68171i −0.529350 + 0.244904i
\(227\) 9.31905 + 5.60708i 0.618527 + 0.372155i 0.790066 0.613022i \(-0.210046\pi\)
−0.171539 + 0.985177i \(0.554874\pi\)
\(228\) 14.6569 + 9.80370i 0.970679 + 0.649266i
\(229\) −4.66292 21.1838i −0.308134 1.39987i −0.835155 0.550015i \(-0.814622\pi\)
0.527021 0.849853i \(-0.323309\pi\)
\(230\) 24.2401 52.3942i 1.59835 3.45477i
\(231\) −10.8064 + 5.81654i −0.711011 + 0.382701i
\(232\) −0.482809 + 1.43292i −0.0316979 + 0.0940761i
\(233\) −1.36198 + 4.90543i −0.0892266 + 0.321365i −0.994671 0.103100i \(-0.967124\pi\)
0.905444 + 0.424465i \(0.139538\pi\)
\(234\) 21.6393 + 8.30813i 1.41461 + 0.543119i
\(235\) 13.5253i 0.882296i
\(236\) −14.1852 0.0951123i −0.923378 0.00619128i
\(237\) −0.267904 + 2.61628i −0.0174023 + 0.169946i
\(238\) 26.4793 + 4.34106i 1.71640 + 0.281389i
\(239\) −5.75444 1.59771i −0.372224 0.103347i 0.0763785 0.997079i \(-0.475664\pi\)
−0.448602 + 0.893731i \(0.648078\pi\)
\(240\) −23.8620 10.8581i −1.54029 0.700889i
\(241\) −0.251706 0.371239i −0.0162138 0.0239136i 0.819496 0.573085i \(-0.194254\pi\)
−0.835710 + 0.549172i \(0.814943\pi\)
\(242\) −8.21506 3.80069i −0.528084 0.244318i
\(243\) −4.51063 + 14.9216i −0.289357 + 0.957221i
\(244\) −17.3453 9.19590i −1.11042 0.588707i
\(245\) 1.57209 2.61284i 0.100437 0.166928i
\(246\) −21.2711 + 7.31632i −1.35620 + 0.466471i
\(247\) 13.1422 + 17.2883i 0.836219 + 1.10003i
\(248\) −0.118798 0.0805473i −0.00754370 0.00511476i
\(249\) −0.843696 1.79393i −0.0534670 0.113686i
\(250\) 17.2292 0.934138i 1.08967 0.0590801i
\(251\) −4.78916 14.2137i −0.302289 0.897161i −0.985903 0.167318i \(-0.946489\pi\)
0.683614 0.729844i \(-0.260407\pi\)
\(252\) 10.2057 + 11.7133i 0.642898 + 0.737869i
\(253\) −20.5535 4.52416i −1.29219 0.284432i
\(254\) 22.0490 25.9581i 1.38348 1.62875i
\(255\) 0.187772 + 29.8639i 0.0117588 + 1.87015i
\(256\) 4.85910 + 17.5009i 0.303694 + 1.09381i
\(257\) 8.52521 + 0.462223i 0.531788 + 0.0288327i 0.318078 0.948065i \(-0.396963\pi\)
0.213710 + 0.976897i \(0.431445\pi\)
\(258\) −2.31910 5.71572i −0.144381 0.355845i
\(259\) −10.5437 + 8.95594i −0.655156 + 0.556495i
\(260\) 18.6661 + 17.6815i 1.15762 + 1.09656i
\(261\) 12.6009 + 8.31424i 0.779974 + 0.514639i
\(262\) 11.0687 + 27.7804i 0.683828 + 1.71628i
\(263\) −10.4865 11.0704i −0.646624 0.682632i 0.317448 0.948276i \(-0.397174\pi\)
−0.964071 + 0.265644i \(0.914416\pi\)
\(264\) −0.274624 + 1.28609i −0.0169019 + 0.0791534i
\(265\) 3.04838 + 18.5943i 0.187260 + 1.14224i
\(266\) 4.90486 + 29.9183i 0.300736 + 1.83441i
\(267\) 4.15395 19.4534i 0.254217 1.19053i
\(268\) 3.99287 + 4.21522i 0.243903 + 0.257486i
\(269\) −5.50159 13.8080i −0.335438 0.841886i −0.995852 0.0909845i \(-0.970999\pi\)
0.660414 0.750901i \(-0.270381\pi\)
\(270\) −22.7947 + 27.8853i −1.38724 + 1.69704i
\(271\) −9.97089 9.44493i −0.605689 0.573739i 0.322165 0.946684i \(-0.395589\pi\)
−0.927854 + 0.372945i \(0.878348\pi\)
\(272\) 15.9263 13.5279i 0.965672 0.820249i
\(273\) 7.19345 + 17.7292i 0.435367 + 1.07302i
\(274\) −7.40356 0.401409i −0.447266 0.0242500i
\(275\) −5.06280 18.2346i −0.305298 1.09959i
\(276\) 0.167509 + 26.6411i 0.0100828 + 1.60361i
\(277\) −14.7747 + 17.3941i −0.887724 + 1.04511i 0.110960 + 0.993825i \(0.464607\pi\)
−0.998684 + 0.0512844i \(0.983669\pi\)
\(278\) 11.0946 + 2.44211i 0.665412 + 0.146468i
\(279\) −1.08043 + 0.941372i −0.0646839 + 0.0563585i
\(280\) −0.950770 2.82179i −0.0568194 0.168634i
\(281\) −21.3154 + 1.15568i −1.27157 + 0.0689424i −0.677530 0.735495i \(-0.736950\pi\)
−0.594037 + 0.804437i \(0.702467\pi\)
\(282\) −5.53321 11.7652i −0.329498 0.700605i
\(283\) 14.8764 + 10.0865i 0.884313 + 0.599579i 0.916558 0.399901i \(-0.130956\pi\)
−0.0322456 + 0.999480i \(0.510266\pi\)
\(284\) 2.82600 + 3.71753i 0.167692 + 0.220595i
\(285\) −31.9085 + 10.9751i −1.89010 + 0.650110i
\(286\) 10.0654 16.7289i 0.595182 0.989201i
\(287\) −16.4045 8.69711i −0.968326 0.513374i
\(288\) 23.3960 0.294220i 1.37862 0.0173371i
\(289\) −6.17520 2.85695i −0.363247 0.168056i
\(290\) 19.5743 + 28.8699i 1.14944 + 1.69530i
\(291\) −17.4371 7.93456i −1.02218 0.465132i
\(292\) 8.31030 + 2.30734i 0.486323 + 0.135027i
\(293\) 17.4739 + 2.86470i 1.02084 + 0.167358i 0.648879 0.760892i \(-0.275238\pi\)
0.371958 + 0.928249i \(0.378686\pi\)
\(294\) −0.298590 + 2.91595i −0.0174141 + 0.170062i
\(295\) 16.5722 21.4996i 0.964870 1.25176i
\(296\) 1.48242i 0.0861642i
\(297\) 11.7143 + 5.93024i 0.679734 + 0.344108i
\(298\) 1.48776 5.35844i 0.0861839 0.310406i
\(299\) −10.4764 + 31.0930i −0.605868 + 1.79815i
\(300\) −21.0949 + 11.3543i −1.21791 + 0.655539i
\(301\) 2.13786 4.62090i 0.123224 0.266344i
\(302\) −5.83156 26.4930i −0.335569 1.52450i
\(303\) −4.99497 3.34102i −0.286954 0.191937i
\(304\) 20.2305 + 12.1723i 1.16030 + 0.698129i
\(305\) 34.0959 15.7745i 1.95233 0.903243i
\(306\) −12.3807 25.9007i −0.707756 1.48064i
\(307\) 15.6892 23.1398i 0.895428 1.32066i −0.0513203 0.998682i \(-0.516343\pi\)
0.946748 0.321975i \(-0.104347\pi\)
\(308\) 11.2123 6.74623i 0.638882 0.384402i
\(309\) −0.395593 + 8.25622i −0.0225045 + 0.469680i
\(310\) −3.13759 + 1.05718i −0.178203 + 0.0600437i
\(311\) 1.19138 1.56724i 0.0675570 0.0888698i −0.761073 0.648666i \(-0.775327\pi\)
0.828631 + 0.559796i \(0.189120\pi\)
\(312\) 1.94700 + 0.642419i 0.110227 + 0.0363698i
\(313\) 19.6652 + 16.7038i 1.11154 + 0.944154i 0.998776 0.0494678i \(-0.0157525\pi\)
0.112768 + 0.993621i \(0.464028\pi\)
\(314\) −0.255425 2.34860i −0.0144145 0.132539i
\(315\) −29.6628 + 1.98266i −1.67131 + 0.111710i
\(316\) 0.151816 2.80008i 0.00854031 0.157517i
\(317\) −0.414060 + 0.219521i −0.0232559 + 0.0123295i −0.479996 0.877271i \(-0.659362\pi\)
0.456740 + 0.889600i \(0.349017\pi\)
\(318\) −10.2586 14.9274i −0.575273 0.837084i
\(319\) 8.74452 9.23147i 0.489599 0.516863i
\(320\) 22.0982 + 8.80471i 1.23533 + 0.492199i
\(321\) 5.76892 + 20.2822i 0.321990 + 1.13204i
\(322\) −33.2548 + 31.5007i −1.85322 + 1.75546i
\(323\) 2.90794 26.7380i 0.161802 1.48774i
\(324\) 4.04249 16.1221i 0.224583 0.895672i
\(325\) −29.1149 + 4.77314i −1.61500 + 0.264766i
\(326\) −28.2137 3.06843i −1.56261 0.169944i
\(327\) 6.06403 4.67021i 0.335342 0.258263i
\(328\) −1.84833 + 0.736443i −0.102057 + 0.0406633i
\(329\) 3.97221 9.96950i 0.218995 0.549636i
\(330\) 19.7841 + 22.9970i 1.08908 + 1.26594i
\(331\) −0.648888 0.763930i −0.0356661 0.0419894i 0.744040 0.668135i \(-0.232907\pi\)
−0.779706 + 0.626146i \(0.784631\pi\)
\(332\) 0.990104 + 1.86753i 0.0543390 + 0.102494i
\(333\) 14.3098 + 3.77993i 0.784170 + 0.207139i
\(334\) −21.8900 + 6.07772i −1.19777 + 0.332558i
\(335\) −11.0455 + 1.20127i −0.603478 + 0.0656322i
\(336\) 14.3998 + 15.0115i 0.785571 + 0.818942i
\(337\) 5.38470 24.4629i 0.293323 1.33258i −0.567372 0.823462i \(-0.692040\pi\)
0.860695 0.509120i \(-0.170029\pi\)
\(338\) −3.93309 2.98986i −0.213932 0.162627i
\(339\) 1.71209 + 7.55164i 0.0929881 + 0.410149i
\(340\) −1.72395 31.7963i −0.0934942 1.72440i
\(341\) 0.622272 + 1.03422i 0.0336979 + 0.0560064i
\(342\) 23.2661 22.6006i 1.25809 1.22210i
\(343\) 13.7000 10.4145i 0.739731 0.562329i
\(344\) −0.229089 0.495167i −0.0123516 0.0266976i
\(345\) −40.7791 30.5968i −2.19547 1.64728i
\(346\) 12.8385 24.2161i 0.690205 1.30186i
\(347\) −16.2990 + 3.58769i −0.874978 + 0.192597i −0.629684 0.776852i \(-0.716816\pi\)
−0.245294 + 0.969449i \(0.578885\pi\)
\(348\) −13.8445 8.21187i −0.742146 0.440203i
\(349\) −3.03224 + 2.05591i −0.162312 + 0.110050i −0.639639 0.768675i \(-0.720916\pi\)
0.477327 + 0.878726i \(0.341606\pi\)
\(350\) −39.0330 13.1518i −2.08640 0.702991i
\(351\) 11.1658 17.1563i 0.595985 0.915734i
\(352\) 3.18832 19.4479i 0.169938 1.03658i
\(353\) −19.3622 −1.03054 −0.515272 0.857026i \(-0.672309\pi\)
−0.515272 + 0.857026i \(0.672309\pi\)
\(354\) −5.62002 + 25.4813i −0.298701 + 1.35432i
\(355\) −8.93596 −0.474272
\(356\) −3.43136 + 20.9304i −0.181862 + 1.10931i
\(357\) 8.63224 22.0678i 0.456866 1.16795i
\(358\) −41.3393 13.9288i −2.18485 0.736161i
\(359\) 2.50053 1.69540i 0.131973 0.0894798i −0.493414 0.869794i \(-0.664251\pi\)
0.625387 + 0.780315i \(0.284941\pi\)
\(360\) −1.89586 + 2.56016i −0.0999208 + 0.134932i
\(361\) 11.1226 2.44826i 0.585399 0.128856i
\(362\) −13.0175 + 24.5536i −0.684185 + 1.29051i
\(363\) −4.79738 + 6.39389i −0.251797 + 0.335592i
\(364\) −8.56594 18.5150i −0.448977 0.970449i
\(365\) −13.1388 + 9.98787i −0.687717 + 0.522789i
\(366\) −23.2054 + 27.6702i −1.21296 + 1.44635i
\(367\) 5.84796 + 9.71938i 0.305261 + 0.507348i 0.971076 0.238769i \(-0.0767438\pi\)
−0.665816 + 0.746116i \(0.731916\pi\)
\(368\) 1.93122 + 35.6193i 0.100672 + 1.85678i
\(369\) 2.39591 + 19.7197i 0.124726 + 1.02656i
\(370\) 27.2233 + 20.6946i 1.41527 + 1.07586i
\(371\) 3.21394 14.6011i 0.166860 0.758051i
\(372\) 1.10265 1.05772i 0.0571699 0.0548403i
\(373\) −27.8641 + 3.03041i −1.44275 + 0.156909i −0.795770 0.605598i \(-0.792934\pi\)
−0.646980 + 0.762507i \(0.723968\pi\)
\(374\) −23.2985 + 6.46879i −1.20474 + 0.334493i
\(375\) 2.37055 15.0519i 0.122415 0.777278i
\(376\) −0.538664 1.01603i −0.0277795 0.0523977i
\(377\) −12.8338 15.1091i −0.660972 0.778156i
\(378\) 24.9914 13.8597i 1.28542 0.712866i
\(379\) 5.12241 12.8563i 0.263120 0.660382i −0.736755 0.676160i \(-0.763643\pi\)
0.999876 + 0.0157772i \(0.00502225\pi\)
\(380\) 33.4234 13.3171i 1.71458 0.683153i
\(381\) −18.3521 23.8293i −0.940205 1.22081i
\(382\) −29.9148 3.25343i −1.53057 0.166460i
\(383\) 14.9859 2.45681i 0.765741 0.125537i 0.233762 0.972294i \(-0.424896\pi\)
0.531980 + 0.846757i \(0.321448\pi\)
\(384\) 4.14377 0.250808i 0.211461 0.0127990i
\(385\) −2.70732 + 24.8934i −0.137978 + 1.26869i
\(386\) 26.2508 24.8661i 1.33613 1.26565i
\(387\) −5.36396 + 0.948788i −0.272665 + 0.0482296i
\(388\) 18.9759 + 7.56070i 0.963357 + 0.383837i
\(389\) −6.61731 + 6.98581i −0.335511 + 0.354195i −0.871819 0.489827i \(-0.837060\pi\)
0.536308 + 0.844022i \(0.319818\pi\)
\(390\) 38.9775 26.7867i 1.97370 1.35640i
\(391\) 35.9021 19.0341i 1.81565 0.962594i
\(392\) −0.0140365 + 0.258888i −0.000708952 + 0.0130758i
\(393\) 26.0333 4.43620i 1.31321 0.223777i
\(394\) 5.75352 + 52.9027i 0.289858 + 2.66520i
\(395\) 4.08983 + 3.47393i 0.205782 + 0.174793i
\(396\) −12.7787 5.71808i −0.642154 0.287345i
\(397\) −0.374817 + 0.493063i −0.0188115 + 0.0247461i −0.805403 0.592728i \(-0.798051\pi\)
0.786591 + 0.617474i \(0.211844\pi\)
\(398\) −28.5835 + 9.63090i −1.43276 + 0.482754i
\(399\) 26.7430 + 1.28138i 1.33882 + 0.0641491i
\(400\) −27.4848 + 16.5371i −1.37424 + 0.826853i
\(401\) 14.8142 21.8493i 0.739785 1.09110i −0.252557 0.967582i \(-0.581271\pi\)
0.992342 0.123520i \(-0.0394183\pi\)
\(402\) 9.11657 5.56363i 0.454693 0.277488i
\(403\) 1.70782 0.790122i 0.0850726 0.0393588i
\(404\) 5.49027 + 3.30339i 0.273151 + 0.164350i
\(405\) 19.8790 + 24.8287i 0.987794 + 1.23375i
\(406\) −5.94946 27.0287i −0.295267 1.34141i
\(407\) 5.23444 11.3141i 0.259462 0.560817i
\(408\) −1.20348 2.23591i −0.0595810 0.110694i
\(409\) 2.00352 5.94622i 0.0990675 0.294022i −0.886647 0.462447i \(-0.846972\pi\)
0.985714 + 0.168425i \(0.0538681\pi\)
\(410\) −12.2786 + 44.2236i −0.606397 + 2.18405i
\(411\) −1.71199 + 6.31993i −0.0844464 + 0.311739i
\(412\) 8.81329i 0.434200i
\(413\) −18.5295 + 10.9803i −0.911776 + 0.540304i
\(414\) 47.9893 + 9.93225i 2.35855 + 0.488143i
\(415\) −3.99160 0.654390i −0.195940 0.0321227i
\(416\) −29.6046 8.21968i −1.45149 0.403003i
\(417\) 4.15510 9.13133i 0.203476 0.447163i
\(418\) −15.3318 22.6127i −0.749902 1.10602i
\(419\) 5.65987 + 2.61854i 0.276503 + 0.127924i 0.553240 0.833022i \(-0.313391\pi\)
−0.276737 + 0.960946i \(0.589253\pi\)
\(420\) 31.4906 3.62528i 1.53658 0.176896i
\(421\) 33.0926 + 17.5446i 1.61283 + 0.855071i 0.997781 + 0.0665861i \(0.0212107\pi\)
0.615054 + 0.788485i \(0.289134\pi\)
\(422\) 13.2498 22.0214i 0.644992 1.07199i
\(423\) −11.1812 + 2.60900i −0.543647 + 0.126854i
\(424\) −0.969538 1.27541i −0.0470849 0.0619392i
\(425\) 30.2438 + 20.5058i 1.46704 + 0.994676i
\(426\) 7.77304 3.65570i 0.376605 0.177119i
\(427\) −29.7648 + 1.61380i −1.44042 + 0.0780973i
\(428\) −7.17907 21.3067i −0.347013 1.02990i
\(429\) −12.5914 11.7779i −0.607919 0.568642i
\(430\) −12.2913 2.70553i −0.592741 0.130472i
\(431\) 5.96317 7.02039i 0.287236 0.338160i −0.599553 0.800335i \(-0.704655\pi\)
0.886789 + 0.462175i \(0.152931\pi\)
\(432\) 4.37333 21.8208i 0.210412 1.04986i
\(433\) −10.7421 38.6894i −0.516231 1.85929i −0.511462 0.859306i \(-0.670896\pi\)
−0.00476849 0.999989i \(-0.501518\pi\)
\(434\) 2.62319 + 0.142225i 0.125917 + 0.00682704i
\(435\) 28.5428 11.5810i 1.36852 0.555264i
\(436\) −6.22004 + 5.28335i −0.297886 + 0.253026i
\(437\) 33.3328 + 31.5745i 1.59453 + 1.51042i
\(438\) 7.34291 14.0631i 0.350858 0.671963i
\(439\) −13.7886 34.6068i −0.658095 1.65169i −0.754458 0.656348i \(-0.772100\pi\)
0.0963631 0.995346i \(-0.469279\pi\)
\(440\) 1.84528 + 1.94803i 0.0879701 + 0.0928689i
\(441\) 2.46325 + 0.795616i 0.117297 + 0.0378865i
\(442\) 6.09869 + 37.2004i 0.290085 + 1.76944i
\(443\) 3.06155 + 18.6746i 0.145459 + 0.887258i 0.954217 + 0.299116i \(0.0966919\pi\)
−0.808758 + 0.588141i \(0.799860\pi\)
\(444\) −15.4332 3.29550i −0.732426 0.156398i
\(445\) −27.9116 29.4659i −1.32314 1.39682i
\(446\) 17.3591 + 43.5681i 0.821978 + 2.06301i
\(447\) −4.35336 2.27306i −0.205907 0.107512i
\(448\) −13.7027 12.9799i −0.647391 0.613241i
\(449\) 0.293431 0.249243i 0.0138479 0.0117625i −0.640436 0.768012i \(-0.721246\pi\)
0.654284 + 0.756249i \(0.272970\pi\)
\(450\) 12.3222 + 42.3092i 0.580873 + 1.99447i
\(451\) 16.7071 + 0.905832i 0.786706 + 0.0426540i
\(452\) −2.20879 7.95534i −0.103893 0.374188i
\(453\) −23.9557 + 0.150624i −1.12554 + 0.00707691i
\(454\) −13.8094 + 16.2577i −0.648109 + 0.763013i
\(455\) 38.1256 + 8.39208i 1.78736 + 0.393427i
\(456\) 1.95988 2.09526i 0.0917800 0.0981193i
\(457\) −5.28931 15.6981i −0.247423 0.734326i −0.997346 0.0728014i \(-0.976806\pi\)
0.749923 0.661525i \(-0.230090\pi\)
\(458\) 42.4806 2.30323i 1.98499 0.107623i
\(459\) −24.6518 + 5.91589i −1.15065 + 0.276130i
\(460\) 44.9922 + 30.5055i 2.09777 + 1.42233i
\(461\) −4.15597 5.46708i −0.193563 0.254627i 0.689066 0.724699i \(-0.258021\pi\)
−0.882628 + 0.470072i \(0.844228\pi\)
\(462\) −7.82889 22.7614i −0.364233 1.05895i
\(463\) 1.33356 2.21639i 0.0619757 0.103004i −0.824320 0.566124i \(-0.808442\pi\)
0.886296 + 0.463120i \(0.153270\pi\)
\(464\) −19.0420 10.0954i −0.884003 0.468669i
\(465\) 0.334396 + 2.90469i 0.0155072 + 0.134702i
\(466\) −9.06223 4.19263i −0.419799 0.194220i
\(467\) −2.74519 4.04885i −0.127032 0.187358i 0.758854 0.651260i \(-0.225759\pi\)
−0.885887 + 0.463902i \(0.846449\pi\)
\(468\) −11.0164 + 18.8417i −0.509231 + 0.870957i
\(469\) 8.49438 + 2.35845i 0.392234 + 0.108903i
\(470\) −26.1781 4.29169i −1.20751 0.197961i
\(471\) −2.07543 0.212522i −0.0956307 0.00979248i
\(472\) −0.388660 + 2.27507i −0.0178895 + 0.104719i
\(473\) 4.58809i 0.210961i
\(474\) −4.97877 1.34869i −0.228682 0.0619474i
\(475\) −11.0451 + 39.7809i −0.506784 + 1.82527i
\(476\) −8.06744 + 23.9433i −0.369771 + 1.09744i
\(477\) −14.7836 + 6.10683i −0.676894 + 0.279612i
\(478\) 4.91828 10.6307i 0.224957 0.486236i
\(479\) −0.894506 4.06378i −0.0408710 0.185679i 0.951762 0.306836i \(-0.0992704\pi\)
−0.992633 + 0.121157i \(0.961339\pi\)
\(480\) 26.5422 39.6817i 1.21148 1.81121i
\(481\) −16.6532 10.0199i −0.759320 0.456868i
\(482\) 0.798397 0.369378i 0.0363660 0.0168247i
\(483\) 21.0723 + 34.5291i 0.958824 + 1.57113i
\(484\) 4.78305 7.05448i 0.217412 0.320658i
\(485\) −33.4932 + 20.1522i −1.52085 + 0.915065i
\(486\) −27.4493 13.4650i −1.24513 0.610785i
\(487\) 15.6833 5.28432i 0.710678 0.239455i 0.0593345 0.998238i \(-0.481102\pi\)
0.651344 + 0.758783i \(0.274206\pi\)
\(488\) −1.93306 + 2.54290i −0.0875056 + 0.115112i
\(489\) −7.85301 + 23.8004i −0.355125 + 1.07629i
\(490\) 4.55829 + 3.87184i 0.205922 + 0.174912i
\(491\) −1.72957 15.9031i −0.0780543 0.717697i −0.966140 0.258019i \(-0.916930\pi\)
0.888086 0.459678i \(-0.152035\pi\)
\(492\) −3.55801 20.8797i −0.160407 0.941330i
\(493\) −1.32921 + 24.5159i −0.0598647 + 1.10414i
\(494\) −37.6314 + 19.9509i −1.69312 + 0.897634i
\(495\) 23.5094 12.8452i 1.05667 0.577348i
\(496\) 1.40692 1.48526i 0.0631724 0.0666903i
\(497\) 6.58668 + 2.62437i 0.295453 + 0.117719i
\(498\) 3.73985 1.06373i 0.167587 0.0476671i
\(499\) −2.94016 + 2.78507i −0.131620 + 0.124677i −0.750678 0.660668i \(-0.770273\pi\)
0.619058 + 0.785345i \(0.287514\pi\)
\(500\) −1.75660 + 16.1517i −0.0785576 + 0.722325i
\(501\) 1.21209 + 20.0257i 0.0541522 + 0.894683i
\(502\) 29.0301 4.75924i 1.29568 0.212415i
\(503\) 28.9410 + 3.14752i 1.29042 + 0.140341i 0.727462 0.686148i \(-0.240700\pi\)
0.562953 + 0.826489i \(0.309665\pi\)
\(504\) 2.14932 1.33030i 0.0957385 0.0592563i
\(505\) −11.3904 + 4.53837i −0.506868 + 0.201955i
\(506\) 15.2782 38.3455i 0.679200 1.70466i
\(507\) −3.30746 + 2.84537i −0.146889 + 0.126367i
\(508\) 20.7615 + 24.4423i 0.921141 + 1.08445i
\(509\) −17.1125 32.2776i −0.758497 1.43068i −0.897789 0.440426i \(-0.854827\pi\)
0.139292 0.990251i \(-0.455517\pi\)
\(510\) −57.8609 9.11261i −2.56212 0.403513i
\(511\) 12.6179 3.50334i 0.558183 0.154979i
\(512\) −30.6492 + 3.33330i −1.35451 + 0.147312i
\(513\) −15.2280 24.2612i −0.672333 1.07116i
\(514\) −3.59974 + 16.3538i −0.158778 + 0.721334i
\(515\) 13.4262 + 10.2063i 0.591628 + 0.449744i
\(516\) 5.66434 1.28421i 0.249359 0.0565342i
\(517\) 0.523560 + 9.65649i 0.0230261 + 0.424692i
\(518\) −13.9885 23.2491i −0.614620 1.02151i
\(519\) −18.5462 15.5536i −0.814086 0.682726i
\(520\) 3.33027 2.53161i 0.146042 0.111018i
\(521\) 7.14695 + 15.4479i 0.313113 + 0.676783i 0.998687 0.0512194i \(-0.0163108\pi\)
−0.685574 + 0.728003i \(0.740449\pi\)
\(522\) −20.0905 + 21.7507i −0.879336 + 0.952000i
\(523\) −13.3743 + 25.2266i −0.584817 + 1.10308i 0.397806 + 0.917470i \(0.369772\pi\)
−0.982623 + 0.185612i \(0.940573\pi\)
\(524\) −27.4998 + 6.05316i −1.20133 + 0.264433i
\(525\) −18.5565 + 31.2848i −0.809873 + 1.36538i
\(526\) 24.7541 16.7837i 1.07933 0.731805i
\(527\) −2.20853 0.744140i −0.0962050 0.0324152i
\(528\) −17.4567 6.82853i −0.759707 0.297174i
\(529\) −7.50160 + 45.7577i −0.326157 + 1.98947i
\(530\) −36.9563 −1.60528
\(531\) 20.9701 + 9.55276i 0.910025 + 0.414554i
\(532\) −28.5474 −1.23769
\(533\) 4.22009 25.7414i 0.182792 1.11498i
\(534\) 36.3337 + 14.2126i 1.57231 + 0.615040i
\(535\) 40.7724 + 13.7378i 1.76275 + 0.593938i
\(536\) 0.781897 0.530139i 0.0337728 0.0228985i
\(537\) −19.6529 + 33.1333i −0.848087 + 1.42981i
\(538\) 28.4708 6.26690i 1.22746 0.270185i
\(539\) 1.02126 1.92631i 0.0439889 0.0829719i
\(540\) −22.4387 25.4288i −0.965606 1.09428i
\(541\) −6.46735 13.9790i −0.278053 0.601002i 0.717357 0.696706i \(-0.245352\pi\)
−0.995410 + 0.0957040i \(0.969490\pi\)
\(542\) 21.4444 16.3016i 0.921115 0.700214i
\(543\) 18.8047 + 15.7704i 0.806987 + 0.676772i
\(544\) 19.6179 + 32.6053i 0.841112 + 1.39794i
\(545\) −0.845484 15.5940i −0.0362165 0.667975i
\(546\) −36.5972 + 8.29723i −1.56621 + 0.355089i
\(547\) −17.1765 13.0572i −0.734413 0.558286i 0.169743 0.985488i \(-0.445706\pi\)
−0.904156 + 0.427202i \(0.859499\pi\)
\(548\) 1.50081 6.81826i 0.0641115 0.291262i
\(549\) 19.6175 + 25.1437i 0.837254 + 1.07311i
\(550\) 36.8992 4.01303i 1.57339 0.171116i
\(551\) −26.7295 + 7.42140i −1.13871 + 0.316162i
\(552\) 4.28190 + 0.674364i 0.182250 + 0.0287028i
\(553\) −1.99436 3.76176i −0.0848088 0.159966i
\(554\) −28.9779 34.1155i −1.23115 1.44943i
\(555\) 22.8929 19.6945i 0.971750 0.835986i
\(556\) −3.95932 + 9.93715i −0.167913 + 0.421429i
\(557\) 24.3716 9.71054i 1.03266 0.411449i 0.208628 0.977995i \(-0.433100\pi\)
0.824030 + 0.566546i \(0.191721\pi\)
\(558\) −1.47918 2.38987i −0.0626189 0.101171i
\(559\) 7.11102 + 0.773370i 0.300764 + 0.0327101i
\(560\) 41.8834 6.86643i 1.76990 0.290160i
\(561\) 1.29008 + 21.3143i 0.0544672 + 0.899889i
\(562\) 4.52670 41.6223i 0.190947 1.75573i
\(563\) −10.7173 + 10.1520i −0.451682 + 0.427856i −0.879420 0.476047i \(-0.842069\pi\)
0.427738 + 0.903903i \(0.359311\pi\)
\(564\) 11.7751 3.34923i 0.495822 0.141028i
\(565\) 14.6771 + 5.84788i 0.617469 + 0.246022i
\(566\) −24.2427 + 25.5927i −1.01899 + 1.07574i
\(567\) −7.36090 24.1393i −0.309129 1.01376i
\(568\) 0.671273 0.355886i 0.0281660 0.0149327i
\(569\) −1.69608 + 31.2824i −0.0711035 + 1.31143i 0.717515 + 0.696543i \(0.245280\pi\)
−0.788618 + 0.614883i \(0.789203\pi\)
\(570\) −11.1174 65.2411i −0.465657 2.73265i
\(571\) −0.0898877 0.826504i −0.00376168 0.0345881i 0.992107 0.125397i \(-0.0400204\pi\)
−0.995868 + 0.0908086i \(0.971055\pi\)
\(572\) 14.0112 + 11.9012i 0.585839 + 0.497616i
\(573\) −8.32649 + 25.2354i −0.347844 + 1.05422i
\(574\) 22.0384 28.9910i 0.919865 1.21006i
\(575\) −59.1117 + 19.9171i −2.46513 + 0.830599i
\(576\) −3.01605 + 19.9666i −0.125669 + 0.831942i
\(577\) −28.5757 + 17.1934i −1.18962 + 0.715771i −0.965908 0.258884i \(-0.916645\pi\)
−0.223712 + 0.974655i \(0.571818\pi\)
\(578\) 7.48903 11.0455i 0.311503 0.459432i
\(579\) −16.6341 27.2567i −0.691290 1.13275i
\(580\) −29.8078 + 13.7906i −1.23770 + 0.572623i
\(581\) 2.75001 + 1.65463i 0.114090 + 0.0686456i
\(582\) 20.8902 31.2317i 0.865926 1.29459i
\(583\) 2.89618 + 13.1575i 0.119948 + 0.544928i
\(584\) 0.589213 1.27356i 0.0243818 0.0527004i
\(585\) −15.9458 38.6021i −0.659279 1.59600i
\(586\) −11.0892 + 32.9116i −0.458091 + 1.35956i
\(587\) 12.0287 43.3234i 0.496477 1.78815i −0.111012 0.993819i \(-0.535409\pi\)
0.607489 0.794328i \(-0.292177\pi\)
\(588\) −2.66402 0.721653i −0.109863 0.0297605i
\(589\) 2.63321i 0.108499i
\(590\) 36.3537 + 38.8973i 1.49666 + 1.60137i
\(591\) 46.7495 + 4.78710i 1.92302 + 0.196915i
\(592\) −20.8516 3.41845i −0.856996 0.140497i
\(593\) −15.8554 4.40224i −0.651105 0.180778i −0.0737567 0.997276i \(-0.523499\pi\)
−0.577349 + 0.816498i \(0.695913\pi\)
\(594\) −15.1949 + 20.7912i −0.623456 + 0.853074i
\(595\) −27.1327 40.0177i −1.11233 1.64057i
\(596\) 4.75244 + 2.19871i 0.194668 + 0.0900628i
\(597\) 3.04635 + 26.4617i 0.124679 + 1.08301i
\(598\) −56.8558 30.1430i −2.32501 1.23264i
\(599\) 6.18311 10.2764i 0.252635 0.419883i −0.704422 0.709781i \(-0.748794\pi\)
0.957057 + 0.289898i \(0.0936215\pi\)
\(600\) 1.26777 + 3.68586i 0.0517565 + 0.150474i
\(601\) 0.716451 + 0.942475i 0.0292246 + 0.0384443i 0.810473 0.585776i \(-0.199210\pi\)
−0.781249 + 0.624220i \(0.785417\pi\)
\(602\) 8.26534 + 5.60404i 0.336870 + 0.228404i
\(603\) −3.12370 8.89938i −0.127207 0.362411i
\(604\) 25.5058 1.38288i 1.03781 0.0562687i
\(605\) 5.20773 + 15.4560i 0.211725 + 0.628376i
\(606\) 8.05145 8.60757i 0.327068 0.349659i
\(607\) 4.27809 + 0.941680i 0.173643 + 0.0382216i 0.300941 0.953643i \(-0.402699\pi\)
−0.127298 + 0.991865i \(0.540630\pi\)
\(608\) −27.8339 + 32.7686i −1.12881 + 1.32894i
\(609\) −24.4400 + 0.153669i −0.990358 + 0.00622697i
\(610\) 19.7124 + 70.9976i 0.798131 + 2.87461i
\(611\) 15.0547 + 0.816243i 0.609048 + 0.0330216i
\(612\) 25.9530 7.55857i 1.04909 0.305537i
\(613\) 19.2013 16.3098i 0.775534 0.658745i −0.169568 0.985518i \(-0.554237\pi\)
0.945103 + 0.326774i \(0.105962\pi\)
\(614\) 39.8085 + 37.7086i 1.60654 + 1.52180i
\(615\) 35.9285 + 18.7597i 1.44878 + 0.756463i
\(616\) −0.788038 1.97783i −0.0317509 0.0796888i
\(617\) 10.1877 + 10.7550i 0.410141 + 0.432981i 0.898036 0.439921i \(-0.144994\pi\)
−0.487895 + 0.872902i \(0.662235\pi\)
\(618\) −15.8543 3.38542i −0.637753 0.136182i
\(619\) −3.74739 22.8580i −0.150620 0.918742i −0.948697 0.316187i \(-0.897597\pi\)
0.798077 0.602556i \(-0.205851\pi\)
\(620\) −0.504368 3.07651i −0.0202559 0.123555i
\(621\) 17.4277 39.6135i 0.699351 1.58963i
\(622\) 2.65533 + 2.80320i 0.106469 + 0.112398i
\(623\) 11.9198 + 29.9165i 0.477558 + 1.19858i
\(624\) −13.5260 + 25.9049i −0.541472 + 1.03703i
\(625\) 4.61486 + 4.37143i 0.184594 + 0.174857i
\(626\) −38.5699 + 32.7616i −1.54156 + 1.30942i
\(627\) −22.3564 + 9.07091i −0.892830 + 0.362257i
\(628\) 2.22123 + 0.120432i 0.0886368 + 0.00480575i
\(629\) 6.43951 + 23.1930i 0.256760 + 0.924767i
\(630\) 5.57483 58.0412i 0.222106 2.31242i
\(631\) −17.8274 + 20.9880i −0.709696 + 0.835519i −0.992318 0.123713i \(-0.960520\pi\)
0.282622 + 0.959231i \(0.408796\pi\)
\(632\) −0.445584 0.0980804i −0.0177244 0.00390143i
\(633\) −16.5749 15.5041i −0.658794 0.616231i
\(634\) −0.293496 0.871064i −0.0116562 0.0345944i
\(635\) −61.2784 + 3.32242i −2.43176 + 0.131846i
\(636\) 15.4333 7.25835i 0.611969 0.287812i
\(637\) −2.81341 1.90754i −0.111471 0.0755795i
\(638\) 15.0927 + 19.8541i 0.597526 + 0.786032i
\(639\) −1.72372 7.38721i −0.0681893 0.292234i
\(640\) 4.36689 7.25783i 0.172617 0.286891i
\(641\) 26.9370 + 14.2811i 1.06395 + 0.564069i 0.905956 0.423371i \(-0.139153\pi\)
0.157991 + 0.987441i \(0.449498\pi\)
\(642\) −41.0865 + 4.72999i −1.62155 + 0.186678i
\(643\) 6.39730 + 2.95970i 0.252285 + 0.116719i 0.541956 0.840407i \(-0.317684\pi\)
−0.289671 + 0.957126i \(0.593546\pi\)
\(644\) −24.2046 35.6991i −0.953796 1.40674i
\(645\) −4.60328 + 10.1163i −0.181254 + 0.398327i
\(646\) 50.8284 + 14.1124i 1.99982 + 0.555247i
\(647\) 25.2336 + 4.13684i 0.992036 + 0.162636i 0.635878 0.771790i \(-0.280638\pi\)
0.356158 + 0.934426i \(0.384086\pi\)
\(648\) −2.48215 1.07343i −0.0975081 0.0421684i
\(649\) 10.9996 15.9913i 0.431771 0.627712i
\(650\) 57.8661i 2.26969i
\(651\) 0.606585 2.23925i 0.0237740 0.0877630i
\(652\) 7.14913 25.7488i 0.279981 1.00840i
\(653\) 0.984127 2.92078i 0.0385119 0.114299i −0.926672 0.375870i \(-0.877344\pi\)
0.965184 + 0.261571i \(0.0842405\pi\)
\(654\) 7.11497 + 13.2187i 0.278217 + 0.516894i
\(655\) 22.6250 48.9031i 0.884031 1.91080i
\(656\) −6.09650 27.6967i −0.238028 1.08137i
\(657\) −10.7912 8.93502i −0.421007 0.348588i
\(658\) 18.0354 + 10.8516i 0.703094 + 0.423038i
\(659\) −6.29956 + 2.91449i −0.245396 + 0.113532i −0.538732 0.842477i \(-0.681097\pi\)
0.293336 + 0.956009i \(0.405234\pi\)
\(660\) −24.3827 + 14.8802i −0.949094 + 0.579210i
\(661\) −3.54891 + 5.23424i −0.138036 + 0.203588i −0.890424 0.455133i \(-0.849592\pi\)
0.752387 + 0.658721i \(0.228902\pi\)
\(662\) 1.68447 1.01351i 0.0654689 0.0393913i
\(663\) 33.2521 + 1.59326i 1.29141 + 0.0618771i
\(664\) 0.325913 0.109813i 0.0126479 0.00426156i
\(665\) 33.0596 43.4891i 1.28199 1.68644i
\(666\) −11.8566 + 26.4970i −0.459434 + 1.02674i
\(667\) −31.9439 27.1334i −1.23687 1.05061i
\(668\) −2.31283 21.2661i −0.0894859 0.822809i
\(669\) 40.8281 6.95731i 1.57851 0.268985i
\(670\) 1.17977 21.7595i 0.0455784 0.840643i
\(671\) 23.7324 12.5821i 0.916177 0.485726i
\(672\) −31.2182 + 21.4542i −1.20427 + 0.827614i
\(673\) −34.4657 + 36.3850i −1.32856 + 1.40254i −0.476423 + 0.879216i \(0.658067\pi\)
−0.852134 + 0.523324i \(0.824692\pi\)
\(674\) 45.6391 + 18.1843i 1.75795 + 0.700433i
\(675\) 38.8120 2.83941i 1.49387 0.109289i
\(676\) 3.37733 3.19918i 0.129897 0.123045i
\(677\) 4.81215 44.2470i 0.184946 1.70055i −0.422640 0.906298i \(-0.638897\pi\)
0.607586 0.794254i \(-0.292138\pi\)
\(678\) −15.1594 + 0.917546i −0.582192 + 0.0352381i
\(679\) 30.6062 5.01764i 1.17456 0.192559i
\(680\) −5.15059 0.560160i −0.197516 0.0214812i
\(681\) 11.4940 + 14.9244i 0.440453 + 0.571906i
\(682\) −2.19918 + 0.876233i −0.0842109 + 0.0335527i
\(683\) −3.77406 + 9.47217i −0.144410 + 0.362443i −0.983334 0.181806i \(-0.941806\pi\)
0.838924 + 0.544248i \(0.183185\pi\)
\(684\) 17.4563 + 25.0618i 0.667459 + 0.958260i
\(685\) 8.64891 + 10.1823i 0.330458 + 0.389045i
\(686\) 15.8100 + 29.8208i 0.603628 + 1.13856i
\(687\) 5.84490 37.1124i 0.222997 1.41593i
\(688\) 7.49324 2.08049i 0.285677 0.0793178i
\(689\) 20.8808 2.27092i 0.795495 0.0865153i
\(690\) 72.1593 69.2189i 2.74706 2.63512i
\(691\) −5.37851 + 24.4348i −0.204608 + 0.929543i 0.756634 + 0.653838i \(0.226842\pi\)
−0.961242 + 0.275705i \(0.911089\pi\)
\(692\) 20.5459 + 15.6186i 0.781037 + 0.593729i
\(693\) −21.1012 + 2.56376i −0.801568 + 0.0973893i
\(694\) −1.77213 32.6850i −0.0672691 1.24070i
\(695\) −10.5531 17.5394i −0.400303 0.665309i
\(696\) −1.68292 + 2.00672i −0.0637908 + 0.0760645i
\(697\) −25.7187 + 19.5509i −0.974166 + 0.740542i
\(698\) −3.01704 6.52122i −0.114197 0.246832i
\(699\) −5.29210 + 7.05325i −0.200166 + 0.266778i
\(700\) 18.1667 34.2661i 0.686638 1.29514i
\(701\) −31.0515 + 6.83496i −1.17280 + 0.258153i −0.758306 0.651899i \(-0.773973\pi\)
−0.414494 + 0.910052i \(0.636042\pi\)
\(702\) 29.6628 + 27.0550i 1.11955 + 1.02113i
\(703\) −22.5103 + 15.2624i −0.848993 + 0.575632i
\(704\) 16.1179 + 5.43076i 0.607467 + 0.204680i
\(705\) −8.53406 + 21.8168i −0.321411 + 0.821669i
\(706\) 6.14376 37.4753i 0.231223 1.41040i
\(707\) 9.72873 0.365887
\(708\) −22.8212 9.10384i −0.857673 0.342143i
\(709\) −9.07304 −0.340745 −0.170373 0.985380i \(-0.554497\pi\)
−0.170373 + 0.985380i \(0.554497\pi\)
\(710\) 2.83544 17.2954i 0.106412 0.649087i
\(711\) −2.08293 + 4.05111i −0.0781159 + 0.151928i
\(712\) 3.27025 + 1.10188i 0.122558 + 0.0412945i
\(713\) 3.29289 2.23263i 0.123320 0.0836127i
\(714\) 39.9729 + 23.7099i 1.49595 + 0.887319i
\(715\) −34.3562 + 7.56236i −1.28485 + 0.282816i
\(716\) 19.2401 36.2907i 0.719037 1.35625i
\(717\) −8.27400 6.20804i −0.308998 0.231843i
\(718\) 2.48799 + 5.37771i 0.0928511 + 0.200694i
\(719\) −4.26859 + 3.24490i −0.159191 + 0.121014i −0.681738 0.731597i \(-0.738775\pi\)
0.522546 + 0.852611i \(0.324982\pi\)
\(720\) −31.6391 32.5707i −1.17912 1.21384i
\(721\) −6.89895 11.4661i −0.256930 0.427021i
\(722\) 1.20931 + 22.3045i 0.0450060 + 0.830086i
\(723\) −0.171771 0.757640i −0.00638822 0.0281770i
\(724\) −20.8323 15.8363i −0.774226 0.588551i
\(725\) 8.10178 36.8068i 0.300893 1.36697i
\(726\) −10.8531 11.3141i −0.402795 0.419905i
\(727\) 6.99812 0.761091i 0.259546 0.0282273i 0.0225790 0.999745i \(-0.492812\pi\)
0.236967 + 0.971518i \(0.423847\pi\)
\(728\) −3.19824 + 0.887986i −0.118535 + 0.0329109i
\(729\) −16.6909 + 21.2230i −0.618180 + 0.786037i
\(730\) −15.1624 28.5992i −0.561184 1.05851i
\(731\) −5.73513 6.75191i −0.212121 0.249729i
\(732\) −22.1762 25.7776i −0.819658 0.952769i
\(733\) −17.1166 + 42.9595i −0.632217 + 1.58674i 0.167170 + 0.985928i \(0.446537\pi\)
−0.799387 + 0.600817i \(0.794842\pi\)
\(734\) −20.6673 + 8.23462i −0.762846 + 0.303945i
\(735\) 4.18446 3.22266i 0.154346 0.118870i
\(736\) −64.5776 7.02324i −2.38036 0.258880i
\(737\) −7.83946 + 1.28521i −0.288770 + 0.0473415i
\(738\) −38.9274 1.61994i −1.43294 0.0596308i
\(739\) 0.894006 8.22025i 0.0328865 0.302387i −0.966130 0.258055i \(-0.916919\pi\)
0.999017 0.0443321i \(-0.0141160\pi\)
\(740\) −23.3765 + 22.1434i −0.859339 + 0.814009i
\(741\) 10.2905 + 36.1789i 0.378030 + 1.32907i
\(742\) 27.2404 + 10.8536i 1.00003 + 0.398447i
\(743\) −4.91795 + 5.19182i −0.180422 + 0.190469i −0.809933 0.586522i \(-0.800497\pi\)
0.629511 + 0.776992i \(0.283255\pi\)
\(744\) −0.140803 0.204883i −0.00516209 0.00751139i
\(745\) −8.85313 + 4.69363i −0.324354 + 0.171961i
\(746\) 2.97617 54.8923i 0.108965 2.00975i
\(747\) −0.228994 3.42602i −0.00837846 0.125352i
\(748\) −2.46164 22.6344i −0.0900066 0.827597i
\(749\) −26.0187 22.1005i −0.950701 0.807533i
\(750\) 28.3806 + 9.36426i 1.03631 + 0.341935i
\(751\) −17.1770 + 22.5960i −0.626798 + 0.824538i −0.994426 0.105435i \(-0.966377\pi\)
0.367629 + 0.929973i \(0.380170\pi\)
\(752\) 15.5335 5.23384i 0.566448 0.190859i
\(753\) 1.24333 25.9490i 0.0453096 0.945634i
\(754\) 33.3157 20.0454i 1.21328 0.730009i
\(755\) −27.4305 + 40.4570i −0.998298 + 1.47238i
\(756\) 9.07140 + 25.3334i 0.329924 + 0.921368i
\(757\) 31.9694 14.7906i 1.16195 0.537574i 0.258389 0.966041i \(-0.416808\pi\)
0.903557 + 0.428467i \(0.140946\pi\)
\(758\) 23.2578 + 13.9937i 0.844761 + 0.508276i
\(759\) −30.2989 20.2662i −1.09978 0.735617i
\(760\) −1.25840 5.71699i −0.0456471 0.207377i
\(761\) 2.99057 6.46401i 0.108408 0.234320i −0.845777 0.533536i \(-0.820863\pi\)
0.954186 + 0.299216i \(0.0967250\pi\)
\(762\) 51.9445 27.9590i 1.88175 1.01285i
\(763\) −3.95656 + 11.7426i −0.143237 + 0.425112i
\(764\) 7.58017 27.3013i 0.274241 0.987726i
\(765\) −18.5403 + 48.2900i −0.670327 + 1.74593i
\(766\) 29.7845i 1.07616i
\(767\) −22.9305 19.7436i −0.827974 0.712899i
\(768\) −3.20463 + 31.2955i −0.115637 + 1.12928i
\(769\) 1.63749 + 0.268452i 0.0590493 + 0.00968063i 0.191234 0.981544i \(-0.438751\pi\)
−0.132185 + 0.991225i \(0.542199\pi\)
\(770\) −47.3218 13.1388i −1.70536 0.473491i
\(771\) 13.4598 + 6.12472i 0.484743 + 0.220576i
\(772\) 19.1067 + 28.1803i 0.687665 + 1.01423i
\(773\) −9.79829 4.53317i −0.352420