Properties

Label 177.2.f.a.155.16
Level $177$
Weight $2$
Character 177.155
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 155.16
Character \(\chi\) \(=\) 177.155
Dual form 177.2.f.a.8.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.317307 + 1.93549i) q^{2} +(-1.70744 + 0.290956i) q^{3} +(-1.75012 + 0.589685i) q^{4} +(-2.92507 - 1.98325i) q^{5} +(-1.10492 - 3.21240i) q^{6} +(-2.73852 - 0.602794i) q^{7} +(0.140747 + 0.265477i) q^{8} +(2.83069 - 0.993578i) q^{9} +O(q^{10})\) \(q+(0.317307 + 1.93549i) q^{2} +(-1.70744 + 0.290956i) q^{3} +(-1.75012 + 0.589685i) q^{4} +(-2.92507 - 1.98325i) q^{5} +(-1.10492 - 3.21240i) q^{6} +(-2.73852 - 0.602794i) q^{7} +(0.140747 + 0.265477i) q^{8} +(2.83069 - 0.993578i) q^{9} +(2.91041 - 6.29074i) q^{10} +(-2.01160 - 1.52918i) q^{11} +(2.81666 - 1.51606i) q^{12} +(-2.03098 + 3.37551i) q^{13} +(0.297748 - 5.49164i) q^{14} +(5.57142 + 2.53521i) q^{15} +(-3.40961 + 2.59192i) q^{16} +(1.04883 + 4.76487i) q^{17} +(2.82126 + 5.16350i) q^{18} +(-5.48029 - 0.596018i) q^{19} +(6.28873 + 1.74606i) q^{20} +(4.85124 + 0.232445i) q^{21} +(2.32141 - 4.37865i) q^{22} +(5.39194 - 6.34788i) q^{23} +(-0.317559 - 0.412335i) q^{24} +(2.77209 + 6.95741i) q^{25} +(-7.17771 - 2.85986i) q^{26} +(-4.54414 + 2.52008i) q^{27} +(5.14821 - 0.559901i) q^{28} +(-4.96592 - 0.814121i) q^{29} +(-3.13901 + 11.5879i) q^{30} +(-0.0516452 - 0.474870i) q^{31} +(-5.66223 - 5.36355i) q^{32} +(3.87961 + 2.02569i) q^{33} +(-8.88956 + 3.54192i) q^{34} +(6.81488 + 7.19438i) q^{35} +(-4.36816 + 3.40810i) q^{36} +(4.35883 + 2.31091i) q^{37} +(-0.585351 - 10.7962i) q^{38} +(2.48564 - 6.35440i) q^{39} +(0.114812 - 1.05568i) q^{40} +(-5.04670 + 4.28671i) q^{41} +(1.08944 + 9.46327i) q^{42} +(-1.09884 - 1.44550i) q^{43} +(4.42229 + 1.49004i) q^{44} +(-10.2505 - 2.70767i) q^{45} +(13.9971 + 8.42180i) q^{46} +(2.14776 + 3.16771i) q^{47} +(5.06757 - 5.41759i) q^{48} +(0.783101 + 0.362301i) q^{49} +(-12.5864 + 7.57298i) q^{50} +(-3.17718 - 7.83056i) q^{51} +(1.56397 - 7.10520i) q^{52} +(2.23874 + 4.83896i) q^{53} +(-6.31947 - 7.99549i) q^{54} +(2.85134 + 8.46247i) q^{55} +(-0.225411 - 0.811856i) q^{56} +(9.53067 - 0.576860i) 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} +(-8.35082 + 1.01461i) q^{63} +(3.77737 - 5.57120i) q^{64} +(12.6352 - 5.84569i) q^{65} +(-2.68968 + 8.15170i) q^{66} +(-2.77767 + 1.47262i) q^{67} +(-4.64536 - 7.72064i) q^{68} +(-7.35945 + 12.4074i) q^{69} +(-11.7622 + 15.4729i) q^{70} +(2.09285 - 1.41899i) q^{71} +(0.662184 + 0.611641i) q^{72} +(-4.66322 - 0.252832i) q^{73} +(-3.08964 + 9.16973i) q^{74} +(-6.75747 - 11.0728i) q^{75} +(9.94265 - 2.18854i) q^{76} +(4.58703 + 5.40027i) q^{77} +(13.0876 + 2.79464i) q^{78} +(0.406217 - 1.46306i) q^{79} +(15.1138 - 0.819446i) q^{80} +(7.02560 - 5.62502i) q^{81} +(-9.89822 - 8.40762i) q^{82} +(0.830942 - 0.787110i) q^{83} +(-8.62734 + 2.45390i) q^{84} +(6.38203 - 16.0177i) q^{85} +(2.44908 - 2.58546i) q^{86} +(8.71588 - 0.0548019i) q^{87} +(0.122835 - 0.749262i) q^{88} +(1.85800 - 11.3333i) q^{89} +(1.98812 - 20.6989i) q^{90} +(7.59661 - 8.01965i) q^{91} +(-5.69331 + 14.2891i) q^{92} +(0.226347 + 0.795785i) q^{93} +(-5.44957 + 5.16211i) q^{94} +(14.8482 + 12.6122i) q^{95} +(11.2285 + 7.51047i) q^{96} +(-11.0444 + 0.598809i) q^{97} +(-0.452746 + 1.63064i) q^{98} +(-7.21358 - 2.32995i) 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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{55}{58}\right)\) \(-1\)

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 0.823214 + 0.567731i \(0.192179\pi\)
−0.598844 + 0.800866i \(0.704373\pi\)
\(3\) −1.70744 + 0.290956i −0.985790 + 0.167983i
\(4\) −1.75012 + 0.589685i −0.875062 + 0.294843i
\(5\) −2.92507 1.98325i −1.30813 0.886936i −0.310166 0.950682i \(-0.600385\pi\)
−0.997966 + 0.0637465i \(0.979695\pi\)
\(6\) −1.10492 3.21240i −0.451083 1.31146i
\(7\) −2.73852 0.602794i −1.03506 0.227835i −0.335226 0.942138i \(-0.608813\pi\)
−0.699837 + 0.714303i \(0.746744\pi\)
\(8\) 0.140747 + 0.265477i 0.0497616 + 0.0938604i
\(9\) 2.83069 0.993578i 0.943563 0.331193i
\(10\) 2.91041 6.29074i 0.920352 1.98931i
\(11\) −2.01160 1.52918i −0.606521 0.461065i 0.256285 0.966601i \(-0.417502\pi\)
−0.862805 + 0.505536i \(0.831295\pi\)
\(12\) 2.81666 1.51606i 0.813098 0.437649i
\(13\) −2.03098 + 3.37551i −0.563292 + 0.936199i 0.436050 + 0.899923i \(0.356377\pi\)
−0.999342 + 0.0362761i \(0.988450\pi\)
\(14\) 0.297748 5.49164i 0.0795766 1.46770i
\(15\) 5.57142 + 2.53521i 1.43853 + 0.654588i
\(16\) −3.40961 + 2.59192i −0.852403 + 0.647980i
\(17\) 1.04883 + 4.76487i 0.254378 + 1.15565i 0.914530 + 0.404519i \(0.132561\pi\)
−0.660151 + 0.751133i \(0.729508\pi\)
\(18\) 2.82126 + 5.16350i 0.664977 + 1.21705i
\(19\) −5.48029 0.596018i −1.25727 0.136736i −0.544874 0.838518i \(-0.683422\pi\)
−0.712392 + 0.701782i \(0.752388\pi\)
\(20\) 6.28873 + 1.74606i 1.40620 + 0.390430i
\(21\) 4.85124 + 0.232445i 1.05863 + 0.0507236i
\(22\) 2.32141 4.37865i 0.494927 0.933531i
\(23\) 5.39194 6.34788i 1.12430 1.32362i 0.184133 0.982901i \(-0.441052\pi\)
0.940164 0.340723i \(-0.110672\pi\)
\(24\) −0.317559 0.412335i −0.0648215 0.0841675i
\(25\) 2.77209 + 6.95741i 0.554417 + 1.39148i
\(26\) −7.17771 2.85986i −1.40766 0.560865i
\(27\) −4.54414 + 2.52008i −0.874520 + 0.484989i
\(28\) 5.14821 0.559901i 0.972920 0.105811i
\(29\) −4.96592 0.814121i −0.922148 0.151179i −0.318037 0.948078i \(-0.603024\pi\)
−0.604112 + 0.796900i \(0.706472\pi\)
\(30\) −3.13901 + 11.5879i −0.573103 + 2.11564i
\(31\) −0.0516452 0.474870i −0.00927576 0.0852892i 0.988585 0.150664i \(-0.0481412\pi\)
−0.997861 + 0.0653749i \(0.979176\pi\)
\(32\) −5.66223 5.36355i −1.00095 0.948151i
\(33\) 3.87961 + 2.02569i 0.675353 + 0.352628i
\(34\) −8.88956 + 3.54192i −1.52455 + 0.607435i
\(35\) 6.81488 + 7.19438i 1.15192 + 1.21607i
\(36\) −4.36816 + 3.40810i −0.728026 + 0.568017i
\(37\) 4.35883 + 2.31091i 0.716587 + 0.379911i 0.786457 0.617646i \(-0.211913\pi\)
−0.0698691 + 0.997556i \(0.522258\pi\)
\(38\) −0.585351 10.7962i −0.0949564 1.75137i
\(39\) 2.48564 6.35440i 0.398022 1.01752i
\(40\) 0.114812 1.05568i 0.0181533 0.166917i
\(41\) −5.04670 + 4.28671i −0.788162 + 0.669471i −0.948212 0.317638i \(-0.897110\pi\)
0.160050 + 0.987109i \(0.448834\pi\)
\(42\) 1.08944 + 9.46327i 0.168104 + 1.46021i
\(43\) −1.09884 1.44550i −0.167571 0.220437i 0.704641 0.709564i \(-0.251108\pi\)
−0.872212 + 0.489128i \(0.837315\pi\)
\(44\) 4.42229 + 1.49004i 0.666685 + 0.224632i
\(45\) −10.2505 2.70767i −1.52805 0.403636i
\(46\) 13.9971 + 8.42180i 2.06377 + 1.24173i
\(47\) 2.14776 + 3.16771i 0.313283 + 0.462058i 0.951434 0.307853i \(-0.0996106\pi\)
−0.638151 + 0.769912i \(0.720300\pi\)
\(48\) 5.06757 5.41759i 0.731441 0.781962i
\(49\) 0.783101 + 0.362301i 0.111872 + 0.0517573i
\(50\) −12.5864 + 7.57298i −1.77998 + 1.07098i
\(51\) −3.17718 7.83056i −0.444894 1.09650i
\(52\) 1.56397 7.10520i 0.216884 0.985314i
\(53\) 2.23874 + 4.83896i 0.307515 + 0.664682i 0.998294 0.0583832i \(-0.0185945\pi\)
−0.690779 + 0.723066i \(0.742732\pi\)
\(54\) −6.31947 7.99549i −0.859971 1.08805i
\(55\) 2.85134 + 8.46247i 0.384474 + 1.14108i
\(56\) −0.225411 0.811856i −0.0301218 0.108489i
\(57\) 9.53067 0.576860i 1.26237 0.0764069i
\(58\) 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 0.553039 0.833156i \(-0.313468\pi\)
0.790117 + 0.612957i \(0.210020\pi\)
\(62\) 0.902718 0.250638i 0.114645 0.0318311i
\(63\) −8.35082 + 1.01461i −1.05210 + 0.127829i
\(64\) 3.77737 5.57120i 0.472171 0.696400i
\(65\) 12.6352 5.84569i 1.56721 0.725068i
\(66\) −2.68968 + 8.15170i −0.331076 + 1.00341i
\(67\) −2.77767 + 1.47262i −0.339346 + 0.179910i −0.629363 0.777112i \(-0.716684\pi\)
0.290017 + 0.957022i \(0.406339\pi\)
\(68\) −4.64536 7.72064i −0.563332 0.936265i
\(69\) −7.35945 + 12.4074i −0.885973 + 1.49368i
\(70\) −11.7622 + 15.4729i −1.40586 + 1.84937i
\(71\) 2.09285 1.41899i 0.248376 0.168403i −0.430646 0.902521i \(-0.641714\pi\)
0.679022 + 0.734118i \(0.262404\pi\)
\(72\) 0.662184 + 0.611641i 0.0780391 + 0.0720825i
\(73\) −4.66322 0.252832i −0.545788 0.0295918i −0.220816 0.975315i \(-0.570872\pi\)
−0.324972 + 0.945724i \(0.605355\pi\)
\(74\) −3.08964 + 9.16973i −0.359164 + 1.06596i
\(75\) −6.75747 11.0728i −0.780285 1.27858i
\(76\) 9.94265 2.18854i 1.14050 0.251043i
\(77\) 4.58703 + 5.40027i 0.522741 + 0.615418i
\(78\) 13.0876 + 2.79464i 1.48188 + 0.316430i
\(79\) 0.406217 1.46306i 0.0457030 0.164607i −0.937177 0.348854i \(-0.886571\pi\)
0.982880 + 0.184247i \(0.0589846\pi\)
\(80\) 15.1138 0.819446i 1.68977 0.0916169i
\(81\) 7.02560 5.62502i 0.780623 0.625002i
\(82\) −9.89822 8.40762i −1.09308 0.928467i
\(83\) 0.830942 0.787110i 0.0912077 0.0863965i −0.640738 0.767760i \(-0.721371\pi\)
0.731945 + 0.681364i \(0.238613\pi\)
\(84\) −8.62734 + 2.45390i −0.941320 + 0.267742i
\(85\) 6.38203 16.0177i 0.692229 1.73736i
\(86\) 2.44908 2.58546i 0.264091 0.278797i
\(87\) 8.71588 0.0548019i 0.934440 0.00587538i
\(88\) 0.122835 0.749262i 0.0130943 0.0798716i
\(89\) 1.85800 11.3333i 0.196948 1.20133i −0.684487 0.729025i \(-0.739974\pi\)
0.881435 0.472305i \(-0.156578\pi\)
\(90\) 1.98812 20.6989i 0.209566 2.18185i
\(91\) 7.59661 8.01965i 0.796341 0.840687i
\(92\) −5.69331 + 14.2891i −0.593568 + 1.48974i
\(93\) 0.226347 + 0.795785i 0.0234711 + 0.0825190i
\(94\) −5.44957 + 5.16211i −0.562080 + 0.532430i
\(95\) 14.8482 + 12.6122i 1.52339 + 1.29398i
\(96\) 11.2285 + 7.51047i 1.14600 + 0.766534i
\(97\) −11.0444 + 0.598809i −1.12139 + 0.0607999i −0.605492 0.795852i \(-0.707024\pi\)
−0.515896 + 0.856651i \(0.672541\pi\)
\(98\) −0.452746 + 1.63064i −0.0457342 + 0.164720i
\(99\) −7.21358 2.32995i −0.724992 0.234169i
\(100\) −8.95418 10.5417i −0.895418 1.05417i
\(101\) 3.38838 0.745839i 0.337156 0.0742137i −0.0431655 0.999068i \(-0.513744\pi\)
0.380322 + 0.924854i \(0.375813\pi\)
\(102\) 14.1478 8.63408i 1.40084 0.854902i
\(103\) 1.52377 4.52239i 0.150142 0.445604i −0.846019 0.533153i \(-0.821007\pi\)
0.996160 + 0.0875489i \(0.0279034\pi\)
\(104\) −1.18198 0.0640849i −0.115902 0.00628404i
\(105\) −13.7292 10.3011i −1.33984 1.00529i
\(106\) −8.65538 + 5.86849i −0.840685 + 0.569999i
\(107\) −7.36764 + 9.69196i −0.712256 + 0.936957i −0.999783 0.0208154i \(-0.993374\pi\)
0.287527 + 0.957773i \(0.407167\pi\)
\(108\) 6.46675 7.09006i 0.622264 0.682242i
\(109\) 2.27824 + 3.78647i 0.218216 + 0.362678i 0.946557 0.322537i \(-0.104536\pi\)
−0.728341 + 0.685215i \(0.759708\pi\)
\(110\) −15.4743 + 8.20393i −1.47541 + 0.782214i
\(111\) −8.11481 2.67750i −0.770223 0.254137i
\(112\) 10.8997 5.04273i 1.02992 0.476493i
\(113\) −2.50884 + 3.70026i −0.236012 + 0.348091i −0.927189 0.374594i \(-0.877782\pi\)
0.691177 + 0.722685i \(0.257092\pi\)
\(114\) 4.14066 + 18.2635i 0.387808 + 1.71053i
\(115\) −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
\(120\) 0.111121 + 1.83591i 0.0101440 + 0.167595i
\(121\) −1.23466 4.44685i −0.112242 0.404259i
\(122\) 6.65734 + 19.7583i 0.602728 + 1.78883i
\(123\) 7.36969 8.78765i 0.664502 0.792356i
\(124\) 0.370409 + 0.800627i 0.0332637 + 0.0718984i
\(125\) 1.89117 8.59167i 0.169151 0.768463i
\(126\) −4.61354 15.8410i −0.411007 1.41123i
\(127\) −14.8793 + 8.95260i −1.32033 + 0.794415i −0.988831 0.149041i \(-0.952381\pi\)
−0.331497 + 0.943456i \(0.607554\pi\)
\(128\) −2.17526 1.00638i −0.192268 0.0889526i
\(129\) 2.29678 + 2.14839i 0.202220 + 0.189155i
\(130\) 15.3235 + 22.6005i 1.34396 + 1.98219i
\(131\) −13.0645 7.86064i −1.14145 0.686788i −0.186178 0.982516i \(-0.559610\pi\)
−0.955272 + 0.295729i \(0.904438\pi\)
\(132\) −7.98432 1.25746i −0.694945 0.109448i
\(133\) 14.6486 + 4.93569i 1.27020 + 0.427979i
\(134\) −3.73162 4.90886i −0.322363 0.424061i
\(135\) 18.2899 + 1.64074i 1.57414 + 0.141213i
\(136\) −1.11735 + 0.949083i −0.0958117 + 0.0813832i
\(137\) −0.408724 + 3.75816i −0.0349197 + 0.321081i 0.963630 + 0.267241i \(0.0861118\pi\)
−0.998550 + 0.0538407i \(0.982854\pi\)
\(138\) −26.3496 10.3072i −2.24303 0.877403i
\(139\) 0.313579 + 5.78363i 0.0265974 + 0.490561i 0.981238 + 0.192800i \(0.0617569\pi\)
−0.954641 + 0.297761i \(0.903760\pi\)
\(140\) −16.1693 8.57242i −1.36656 0.724502i
\(141\) −4.58883 4.78377i −0.386450 0.402866i
\(142\) 3.41052 + 3.60044i 0.286204 + 0.302142i
\(143\) 9.24728 3.68445i 0.773297 0.308110i
\(144\) −7.07628 + 10.7246i −0.589690 + 0.893720i
\(145\) 12.9111 + 12.2300i 1.07221 + 1.01565i
\(146\) −0.990318 9.10582i −0.0819593 0.753603i
\(147\) −1.44251 0.390759i −0.118976 0.0322293i
\(148\) −8.99120 1.47403i −0.739072 0.121165i
\(149\) 2.81878 0.306561i 0.230924 0.0251145i 0.00807447 0.999967i \(-0.497430\pi\)
0.222849 + 0.974853i \(0.428464\pi\)
\(150\) 19.2871 16.5925i 1.57478 1.35477i
\(151\) −12.8488 5.11941i −1.04562 0.416612i −0.216850 0.976205i \(-0.569578\pi\)
−0.828768 + 0.559593i \(0.810957\pi\)
\(152\) −0.613107 1.53878i −0.0497295 0.124812i
\(153\) 7.70318 + 12.4458i 0.622765 + 1.00618i
\(154\) −8.99666 + 10.5917i −0.724971 + 0.853502i
\(155\) −0.790719 + 1.49145i −0.0635121 + 0.119797i
\(156\) −0.603087 + 12.5867i −0.0482856 + 1.00775i
\(157\) −1.16061 0.322242i −0.0926268 0.0257177i 0.220906 0.975295i \(-0.429099\pi\)
−0.313533 + 0.949577i \(0.601512\pi\)
\(158\) 2.96064 + 0.321989i 0.235536 + 0.0256160i
\(159\) −5.23044 7.61085i −0.414801 0.603580i
\(160\) 5.92519 + 26.9184i 0.468427 + 2.12809i
\(161\) −18.5924 + 14.1336i −1.46529 + 1.11388i
\(162\) 13.1164 + 11.8131i 1.03052 + 0.928126i
\(163\) 0.783382 14.4486i 0.0613592 1.13170i −0.792048 0.610459i \(-0.790985\pi\)
0.853407 0.521245i \(-0.174532\pi\)
\(164\) 6.30454 10.4782i 0.492302 0.818212i
\(165\) −7.33069 13.6195i −0.570693 1.06028i
\(166\) 1.78711 + 1.35852i 0.138706 + 0.105442i
\(167\) −4.86358 + 10.5125i −0.376355 + 0.813478i 0.623152 + 0.782100i \(0.285852\pi\)
−0.999508 + 0.0313779i \(0.990010\pi\)
\(168\) 0.621089 + 1.32061i 0.0479181 + 0.101887i
\(169\) −1.17990 2.22553i −0.0907616 0.171195i
\(170\) 33.0271 + 7.26982i 2.53306 + 0.557570i
\(171\) −16.1052 + 3.75796i −1.23160 + 0.287378i
\(172\) 2.77549 + 1.88183i 0.211630 + 0.143488i
\(173\) 13.2431 4.46213i 1.00686 0.339250i 0.232909 0.972499i \(-0.425176\pi\)
0.773948 + 0.633249i \(0.218279\pi\)
\(174\) 2.87168 + 16.8521i 0.217701 + 1.27755i
\(175\) −3.39753 20.7240i −0.256829 1.56659i
\(176\) 10.8223 0.815761
\(177\) 13.1557 + 1.98162i 0.988845 + 0.148947i
\(178\) 22.5251 1.68833
\(179\) 3.59827 + 21.9485i 0.268948 + 1.64051i 0.683118 + 0.730308i \(0.260623\pi\)
−0.414170 + 0.910199i \(0.635928\pi\)
\(180\) 19.5363 1.30580i 1.45615 0.0973286i
\(181\) 13.4277 4.52433i 0.998077 0.336291i 0.227597 0.973755i \(-0.426913\pi\)
0.770480 + 0.637464i \(0.220017\pi\)
\(182\) 17.9324 + 12.1585i 1.32924 + 0.901245i
\(183\) −17.4113 + 5.98871i −1.28708 + 0.442698i
\(184\) 2.44412 + 0.537991i 0.180183 + 0.0396612i
\(185\) −8.16680 15.4042i −0.600435 1.13254i
\(186\) −1.46841 + 0.690601i −0.107669 + 0.0506373i
\(187\) 5.17652 11.1889i 0.378545 0.818211i
\(188\) −5.62680 4.27738i −0.410377 0.311960i
\(189\) 13.9633 4.16211i 1.01568 0.302749i
\(190\) −19.6993 + 32.7405i −1.42914 + 2.37524i
\(191\) −0.830614 + 15.3198i −0.0601011 + 1.10850i 0.800537 + 0.599283i \(0.204548\pi\)
−0.860638 + 0.509217i \(0.829935\pi\)
\(192\) −4.82865 + 10.6115i −0.348478 + 0.765821i
\(193\) −14.6765 + 11.1568i −1.05644 + 0.803083i −0.980988 0.194067i \(-0.937832\pi\)
−0.0754494 + 0.997150i \(0.524039\pi\)
\(194\) −4.66345 21.1863i −0.334816 1.52109i
\(195\) −19.8731 + 13.6574i −1.42314 + 0.978030i
\(196\) −1.58417 0.172289i −0.113155 0.0123063i
\(197\) −26.1430 7.25858i −1.86261 0.517152i −0.999935 0.0114000i \(-0.996371\pi\)
−0.862679 0.505752i \(-0.831215\pi\)
\(198\) 2.22067 14.7011i 0.157816 1.04476i
\(199\) 7.20346 13.5872i 0.510640 0.963169i −0.485403 0.874291i \(-0.661327\pi\)
0.996043 0.0888780i \(-0.0283281\pi\)
\(200\) −1.45687 + 1.71516i −0.103016 + 0.121280i
\(201\) 4.31422 3.32259i 0.304302 0.234358i
\(202\) 2.51872 + 6.32151i 0.177216 + 0.444780i
\(203\) 13.1085 + 5.22291i 0.920038 + 0.366577i
\(204\) 10.1780 + 11.8309i 0.712604 + 0.828330i
\(205\) 23.2636 2.53007i 1.62480 0.176707i
\(206\) 9.23654 + 1.51425i 0.643540 + 0.105503i
\(207\) 8.95579 23.3262i 0.622470 1.62128i
\(208\) −1.82421 16.7733i −0.126486 1.16302i
\(209\) 10.1127 + 9.57930i 0.699513 + 0.662614i
\(210\) 15.5813 29.8414i 1.07521 2.05925i
\(211\) −12.1728 + 4.85010i −0.838012 + 0.333895i −0.749356 0.662168i \(-0.769637\pi\)
−0.0886566 + 0.996062i \(0.528257\pi\)
\(212\) −6.77154 7.14863i −0.465071 0.490970i
\(213\) −3.16056 + 3.03177i −0.216558 + 0.207733i
\(214\) −21.0965 11.1846i −1.44213 0.764566i
\(215\) 0.347403 + 6.40746i 0.0236927 + 0.436985i
\(216\) −1.30860 0.851672i −0.0890389 0.0579489i
\(217\) −0.144817 + 1.33157i −0.00983083 + 0.0903930i
\(218\) −6.60577 + 5.61099i −0.447399 + 0.380024i
\(219\) 8.03571 0.925095i 0.543003 0.0625121i
\(220\) −9.98039 13.1290i −0.672878 0.885155i
\(221\) −18.2140 6.13702i −1.22521 0.412821i
\(222\) 2.60739 16.5557i 0.174996 1.11115i
\(223\) 20.4891 + 12.3279i 1.37205 + 0.825535i 0.994924 0.100626i \(-0.0320847\pi\)
0.377126 + 0.926162i \(0.376912\pi\)
\(224\) 12.2730 + 18.1014i 0.820026 + 1.20945i
\(225\) 14.7596 + 16.9400i 0.983977 + 1.12933i
\(226\) −7.95788 3.68171i −0.529350 0.244904i
\(227\) −9.31905 + 5.60708i −0.618527 + 0.372155i −0.790066 0.613022i \(-0.789954\pi\)
0.171539 + 0.985177i \(0.445126\pi\)
\(228\) −16.3397 + 6.62968i −1.08212 + 0.439061i
\(229\) −4.66292 + 21.1838i −0.308134 + 1.39987i 0.527021 + 0.849853i \(0.323309\pi\)
−0.835155 + 0.550015i \(0.814622\pi\)
\(230\) −24.2401 52.3942i −1.59835 3.45477i
\(231\) −9.40331 7.88600i −0.618692 0.518861i
\(232\) −0.482809 1.43292i −0.0316979 0.0940761i
\(233\) 1.36198 + 4.90543i 0.0892266 + 0.321365i 0.994671 0.103100i \(-0.0328761\pi\)
−0.905444 + 0.424465i \(0.860462\pi\)
\(234\) −23.1594 0.963762i −1.51397 0.0630031i
\(235\) 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 \(-0.524336\pi\)
0.448602 + 0.893731i \(0.351922\pi\)
\(240\) −25.5674 + 5.79660i −1.65037 + 0.374169i
\(241\) −0.251706 + 0.371239i −0.0162138 + 0.0239136i −0.835710 0.549172i \(-0.814943\pi\)
0.819496 + 0.573085i \(0.194254\pi\)
\(242\) 8.21506 3.80069i 0.528084 0.244318i
\(243\) −10.3592 + 11.6485i −0.664540 + 0.747253i
\(244\) −17.3453 + 9.19590i −1.11042 + 0.588707i
\(245\) −1.57209 2.61284i −0.100437 0.166928i
\(246\) 19.3468 + 11.4756i 1.23351 + 0.731655i
\(247\) 13.1422 17.2883i 0.836219 1.10003i
\(248\) 0.118798 0.0805473i 0.00754370 0.00511476i
\(249\) −1.18977 + 1.58571i −0.0753984 + 0.100490i
\(250\) 17.2292 + 0.934138i 1.08967 + 0.0590801i
\(251\) 4.78916 14.2137i 0.302289 0.897161i −0.683614 0.729844i \(-0.739593\pi\)
0.985903 0.167318i \(-0.0535106\pi\)
\(252\) 14.0167 6.70005i 0.882967 0.422064i
\(253\) −20.5535 + 4.52416i −1.29219 + 0.284432i
\(254\) −22.0490 25.9581i −1.38348 1.62875i
\(255\) −6.23648 + 29.2061i −0.390544 + 1.82896i
\(256\) 4.85910 17.5009i 0.303694 1.09381i
\(257\) −8.52521 + 0.462223i −0.531788 + 0.0288327i −0.318078 0.948065i \(-0.603037\pi\)
−0.213710 + 0.976897i \(0.568555\pi\)
\(258\) −3.42939 + 5.12708i −0.213505 + 0.319198i
\(259\) −10.5437 8.95594i −0.655156 0.556495i
\(260\) −18.6661 + 17.6815i −1.15762 + 1.09656i
\(261\) −14.8659 + 2.62951i −0.920174 + 0.162762i
\(262\) 11.0687 27.7804i 0.683828 1.71628i
\(263\) 10.4865 11.0704i 0.646624 0.682632i −0.317448 0.948276i \(-0.602826\pi\)
0.964071 + 0.265644i \(0.0855844\pi\)
\(264\) 0.00826855 + 1.31506i 0.000508894 + 0.0809363i
\(265\) 3.04838 18.5943i 0.187260 1.14224i
\(266\) −4.90486 + 29.9183i −0.300736 + 1.83441i
\(267\) 0.125070 + 19.8915i 0.00765415 + 1.21734i
\(268\) 3.99287 4.21522i 0.243903 0.257486i
\(269\) 5.50159 13.8080i 0.335438 0.841886i −0.660414 0.750901i \(-0.729619\pi\)
0.995852 0.0909845i \(-0.0290014\pi\)
\(270\) 2.62787 + 35.9205i 0.159927 + 2.18605i
\(271\) −9.97089 + 9.44493i −0.605689 + 0.573739i −0.927854 0.372945i \(-0.878348\pi\)
0.322165 + 0.946684i \(0.395589\pi\)
\(272\) −15.9263 13.5279i −0.965672 0.820249i
\(273\) −10.6374 + 15.9033i −0.643804 + 0.962513i
\(274\) −7.40356 + 0.401409i −0.447266 + 0.0242500i
\(275\) 5.06280 18.2346i 0.305298 1.09959i
\(276\) 5.56346 26.0543i 0.334881 1.56828i
\(277\) −14.7747 17.3941i −0.887724 1.04511i −0.998684 0.0512844i \(-0.983669\pi\)
0.110960 0.993825i \(-0.464607\pi\)
\(278\) −11.0946 + 2.44211i −0.665412 + 0.146468i
\(279\) −0.618012 1.29290i −0.0369994 0.0774037i
\(280\) −0.950770 + 2.82179i −0.0568194 + 0.168634i
\(281\) 21.3154 + 1.15568i 1.27157 + 0.0689424i 0.677530 0.735495i \(-0.263050\pi\)
0.594037 + 0.804437i \(0.297533\pi\)
\(282\) 7.80286 10.3996i 0.464653 0.619285i
\(283\) 14.8764 10.0865i 0.884313 0.599579i −0.0322456 0.999480i \(-0.510266\pi\)
0.916558 + 0.399901i \(0.130956\pi\)
\(284\) −2.82600 + 3.71753i −0.167692 + 0.220595i
\(285\) −29.0220 17.2143i −1.71911 1.01969i
\(286\) 10.0654 + 16.7289i 0.595182 + 0.989201i
\(287\) 16.4045 8.69711i 0.968326 0.513374i
\(288\) −21.3571 9.55668i −1.25848 0.563133i
\(289\) −6.17520 + 2.85695i −0.363247 + 0.168056i
\(290\) −19.5743 + 28.8699i −1.14944 + 1.69530i
\(291\) 18.6834 4.23586i 1.09524 0.248310i
\(292\) 8.31030 2.30734i 0.486323 0.135027i
\(293\) −17.4739 + 2.86470i −1.02084 + 0.167358i −0.648879 0.760892i \(-0.724762\pi\)
−0.371958 + 0.928249i \(0.621314\pi\)
\(294\) 0.298590 2.91595i 0.0174141 0.170062i
\(295\) 16.5722 + 21.4996i 0.964870 + 1.25176i
\(296\) 1.48242i 0.0861642i
\(297\) 12.9946 + 1.87941i 0.754026 + 0.109054i
\(298\) 1.48776 + 5.35844i 0.0861839 + 0.310406i
\(299\) 10.4764 + 31.0930i 0.605868 + 1.79815i
\(300\) 18.3559 + 15.3940i 1.05978 + 0.888772i
\(301\) 2.13786 + 4.62090i 0.123224 + 0.266344i
\(302\) 5.83156 26.4930i 0.335569 1.52450i
\(303\) −5.56844 + 2.25934i −0.319899 + 0.129796i
\(304\) 20.2305 12.1723i 1.16030 0.698129i
\(305\) −34.0959 15.7745i −1.95233 0.903243i
\(306\) −21.6444 + 18.8586i −1.23733 + 1.07807i
\(307\) 15.6892 + 23.1398i 0.895428 + 1.32066i 0.946748 + 0.321975i \(0.104347\pi\)
−0.0513203 + 0.998682i \(0.516343\pi\)
\(308\) −11.2123 6.74623i −0.638882 0.384402i
\(309\) −1.28593 + 8.16505i −0.0731539 + 0.464494i
\(310\) −3.13759 1.05718i −0.178203 0.0600437i
\(311\) −1.19138 1.56724i −0.0675570 0.0888698i 0.761073 0.648666i \(-0.224673\pi\)
−0.828631 + 0.559796i \(0.810880\pi\)
\(312\) 2.03680 0.234482i 0.115311 0.0132749i
\(313\) 19.6652 16.7038i 1.11154 0.944154i 0.112768 0.993621i \(-0.464028\pi\)
0.998776 + 0.0494678i \(0.0157525\pi\)
\(314\) 0.255425 2.34860i 0.0144145 0.132539i
\(315\) 26.4390 + 13.5939i 1.48967 + 0.765932i
\(316\) 0.151816 + 2.80008i 0.00854031 + 0.157517i
\(317\) 0.414060 + 0.219521i 0.0232559 + 0.0123295i 0.479996 0.877271i \(-0.340638\pi\)
−0.456740 + 0.889600i \(0.650983\pi\)
\(318\) 13.0711 12.5384i 0.732988 0.703120i
\(319\) 8.74452 + 9.23147i 0.489599 + 0.516863i
\(320\) −22.0982 + 8.80471i −1.23533 + 0.492199i
\(321\) 9.75985 18.6921i 0.544742 1.04329i
\(322\) −33.2548 31.5007i −1.85322 1.75546i
\(323\) −2.90794 26.7380i −0.161802 1.48774i
\(324\) −8.97868 + 13.9874i −0.498816 + 0.777077i
\(325\) −29.1149 4.77314i −1.61500 0.264766i
\(326\) 28.2137 3.06843i 1.56261 0.169944i
\(327\) −4.99166 5.80230i −0.276039 0.320868i
\(328\) −1.84833 0.736443i −0.102057 0.0406633i
\(329\) −3.97221 9.96950i −0.218995 0.549636i
\(330\) 24.0344 18.5100i 1.32305 1.01894i
\(331\) −0.648888 + 0.763930i −0.0356661 + 0.0419894i −0.779706 0.626146i \(-0.784631\pi\)
0.744040 + 0.668135i \(0.232907\pi\)
\(332\) −0.990104 + 1.86753i −0.0543390 + 0.102494i
\(333\) 14.6346 + 2.21062i 0.801969 + 0.121141i
\(334\) −21.8900 6.07772i −1.19777 0.332558i
\(335\) 11.0455 + 1.20127i 0.603478 + 0.0656322i
\(336\) −17.1433 + 11.7815i −0.935245 + 0.642733i
\(337\) 5.38470 + 24.4629i 0.293323 + 1.33258i 0.860695 + 0.509120i \(0.170029\pi\)
−0.567372 + 0.823462i \(0.692040\pi\)
\(338\) 3.93309 2.98986i 0.213932 0.162627i
\(339\) 3.20707 7.04792i 0.174184 0.382791i
\(340\) −1.72395 + 31.7963i −0.0934942 + 1.72440i
\(341\) −0.622272 + 1.03422i −0.0336979 + 0.0560064i
\(342\) −12.3838 29.9790i −0.669638 1.62108i
\(343\) 13.7000 + 10.4145i 0.739731 + 0.562329i
\(344\) 0.229089 0.495167i 0.0123516 0.0266976i
\(345\) 46.1339 21.6970i 2.48377 1.16813i
\(346\) 12.8385 + 24.2161i 0.690205 + 1.30186i
\(347\) 16.2990 + 3.58769i 0.874978 + 0.192597i 0.629684 0.776852i \(-0.283184\pi\)
0.245294 + 0.969449i \(0.421115\pi\)
\(348\) −15.2215 + 5.23553i −0.815960 + 0.280654i
\(349\) −3.03224 2.05591i −0.162312 0.110050i 0.477327 0.878726i \(-0.341606\pi\)
−0.639639 + 0.768675i \(0.720916\pi\)
\(350\) 39.0330 13.1518i 2.08640 0.702991i
\(351\) 0.722492 20.4570i 0.0385638 1.09192i
\(352\) 3.18832 + 19.4479i 0.169938 + 1.03658i
\(353\) 19.3622 1.03054 0.515272 0.857026i \(-0.327691\pi\)
0.515272 + 0.857026i \(0.327691\pi\)
\(354\) 0.339012 + 26.0915i 0.0180183 + 1.38675i
\(355\) −8.93596 −0.474272
\(356\) 3.43136 + 20.9304i 0.181862 + 1.10931i
\(357\) 3.98055 + 23.3593i 0.210673 + 1.23631i
\(358\) −41.3393 + 13.9288i −2.18485 + 0.736161i
\(359\) −2.50053 1.69540i −0.131973 0.0894798i 0.493414 0.869794i \(-0.335749\pi\)
−0.625387 + 0.780315i \(0.715059\pi\)
\(360\) −0.723901 3.10237i −0.0381530 0.163509i
\(361\) 11.1226 + 2.44826i 0.585399 + 0.128856i
\(362\) 13.0175 + 24.5536i 0.684185 + 1.29051i
\(363\) 3.40195 + 7.23349i 0.178556 + 0.379660i
\(364\) −8.56594 + 18.5150i −0.448977 + 0.970449i
\(365\) 13.1388 + 9.98787i 0.687717 + 0.522789i
\(366\) −17.1158 31.7991i −0.894657 1.66216i
\(367\) 5.84796 9.71938i 0.305261 0.507348i −0.665816 0.746116i \(-0.731916\pi\)
0.971076 + 0.238769i \(0.0767438\pi\)
\(368\) −1.93122 + 35.6193i −0.100672 + 1.85678i
\(369\) −10.0265 + 17.1486i −0.521957 + 0.892722i
\(370\) 27.2233 20.6946i 1.41527 1.07586i
\(371\) −3.21394 14.6011i −0.166860 0.758051i
\(372\) −0.865398 1.25925i −0.0448688 0.0652890i
\(373\) −27.8641 3.03041i −1.44275 0.156909i −0.646980 0.762507i \(-0.723968\pi\)
−0.795770 + 0.605598i \(0.792934\pi\)
\(374\) 23.2985 + 6.46879i 1.20474 + 0.334493i
\(375\) −0.729258 + 15.2200i −0.0376587 + 0.785957i
\(376\) −0.538664 + 1.01603i −0.0277795 + 0.0523977i
\(377\) 12.8338 15.1091i 0.660972 0.778156i
\(378\) 12.4864 + 25.7051i 0.642229 + 1.32213i
\(379\) 5.12241 + 12.8563i 0.263120 + 0.660382i 0.999876 0.0157772i \(-0.00502225\pi\)
−0.736755 + 0.676160i \(0.763643\pi\)
\(380\) −33.4234 13.3171i −1.71458 0.683153i
\(381\) 22.8007 19.6152i 1.16812 1.00492i
\(382\) −29.9148 + 3.25343i −1.53057 + 0.166460i
\(383\) −14.9859 2.45681i −0.765741 0.125537i −0.233762 0.972294i \(-0.575104\pi\)
−0.531980 + 0.846757i \(0.678552\pi\)
\(384\) 4.00694 + 1.08543i 0.204478 + 0.0553907i
\(385\) −2.70732 24.8934i −0.137978 1.26869i
\(386\) −26.2508 24.8661i −1.33613 1.26565i
\(387\) −4.54669 2.99998i −0.231121 0.152497i
\(388\) 18.9759 7.56070i 0.963357 0.383837i
\(389\) 6.61731 + 6.98581i 0.335511 + 0.354195i 0.871819 0.489827i \(-0.162940\pi\)
−0.536308 + 0.844022i \(0.680182\pi\)
\(390\) −32.7397 34.1305i −1.65784 1.72826i
\(391\) 35.9021 + 19.0341i 1.81565 + 0.962594i
\(392\) 0.0140365 + 0.258888i 0.000708952 + 0.0130758i
\(393\) 24.5939 + 9.62037i 1.24060 + 0.485284i
\(394\) 5.75352 52.9027i 0.289858 2.66520i
\(395\) −4.08983 + 3.47393i −0.205782 + 0.174793i
\(396\) 13.9986 0.176042i 0.703456 0.00884643i
\(397\) −0.374817 0.493063i −0.0188115 0.0247461i 0.786591 0.617474i \(-0.211844\pi\)
−0.805403 + 0.592728i \(0.798051\pi\)
\(398\) 28.5835 + 9.63090i 1.43276 + 0.482754i
\(399\) −26.4477 4.16529i −1.32404 0.208525i
\(400\) −27.4848 16.5371i −1.37424 0.826853i
\(401\) −14.8142 21.8493i −0.739785 1.09110i −0.992342 0.123520i \(-0.960582\pi\)
0.252557 0.967582i \(-0.418729\pi\)
\(402\) 7.79977 + 7.29584i 0.389017 + 0.363884i
\(403\) 1.70782 + 0.790122i 0.0850726 + 0.0393588i
\(404\) −5.49027 + 3.30339i −0.273151 + 0.164350i
\(405\) −31.7062 + 2.52008i −1.57550 + 0.125224i
\(406\) −5.94946 + 27.0287i −0.295267 + 1.34141i
\(407\) −5.23444 11.3141i −0.259462 0.560817i
\(408\) 1.63166 1.94560i 0.0807792 0.0963215i
\(409\) 2.00352 + 5.94622i 0.0990675 + 0.294022i 0.985714 0.168425i \(-0.0538681\pi\)
−0.886647 + 0.462447i \(0.846972\pi\)
\(410\) 12.2786 + 44.2236i 0.606397 + 2.18405i
\(411\) −0.395587 6.53574i −0.0195129 0.322384i
\(412\) 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
\(417\) −2.21820 9.78395i −0.108626 0.479122i
\(418\) −15.3318 + 22.6127i −0.749902 + 1.10602i
\(419\) −5.65987 + 2.61854i −0.276503 + 0.127924i −0.553240 0.833022i \(-0.686609\pi\)
0.276737 + 0.960946i \(0.410747\pi\)
\(420\) 30.1023 + 9.93233i 1.46884 + 0.484648i
\(421\) 33.0926 17.5446i 1.61283 0.855071i 0.615054 0.788485i \(-0.289134\pi\)
0.997781 0.0665861i \(-0.0212107\pi\)
\(422\) −13.2498 22.0214i −0.644992 1.07199i
\(423\) 9.22702 + 6.83284i 0.448633 + 0.332224i
\(424\) −0.969538 + 1.27541i −0.0470849 + 0.0619392i
\(425\) −30.2438 + 20.5058i −1.46704 + 0.994676i
\(426\) −6.87081 5.15522i −0.332892 0.249771i
\(427\) −29.7648 1.61380i −1.44042 0.0780973i
\(428\) 7.17907 21.3067i 0.347013 1.02990i
\(429\) −14.7171 + 8.98153i −0.710551 + 0.433632i
\(430\) −12.2913 + 2.70553i −0.592741 + 0.130472i
\(431\) −5.96317 7.02039i −0.287236 0.338160i 0.599553 0.800335i \(-0.295345\pi\)
−0.886789 + 0.462175i \(0.847069\pi\)
\(432\) 8.96192 20.3705i 0.431180 0.980078i
\(433\) −10.7421 + 38.6894i −0.516231 + 1.85929i −0.00476849 + 0.999989i \(0.501518\pi\)
−0.511462 + 0.859306i \(0.670896\pi\)
\(434\) −2.62319 + 0.142225i −0.125917 + 0.00682704i
\(435\) −25.6033 17.1255i −1.22758 0.821103i
\(436\) −6.22004 5.28335i −0.297886 0.253026i
\(437\) −33.3328 + 31.5745i −1.59453 + 1.51042i
\(438\) 4.34030 + 15.2595i 0.207388 + 0.729127i
\(439\) −13.7886 + 34.6068i −0.658095 + 1.65169i 0.0963631 + 0.995346i \(0.469279\pi\)
−0.754458 + 0.656348i \(0.772100\pi\)
\(440\) −1.84528 + 1.94803i −0.0879701 + 0.0928689i
\(441\) 2.57669 + 0.247490i 0.122700 + 0.0117852i
\(442\) 6.09869 37.2004i 0.290085 1.76944i
\(443\) −3.06155 + 18.6746i −0.145459 + 0.887258i 0.808758 + 0.588141i \(0.200140\pi\)
−0.954217 + 0.299116i \(0.903308\pi\)
\(444\) 15.7808 0.0992232i 0.748924 0.00470893i
\(445\) −27.9116 + 29.4659i −1.32314 + 1.39682i
\(446\) −17.3591 + 43.5681i −0.821978 + 2.06301i
\(447\) −4.72370 + 1.34357i −0.223423 + 0.0635489i
\(448\) −13.7027 + 12.9799i −0.647391 + 0.613241i
\(449\) −0.293431 0.249243i −0.0138479 0.0117625i 0.640436 0.768012i \(-0.278754\pi\)
−0.654284 + 0.756249i \(0.727030\pi\)
\(450\) −28.1038 + 33.9423i −1.32483 + 1.60006i
\(451\) 16.7071 0.905832i 0.786706 0.0426540i
\(452\) 2.20879 7.95534i 0.103893 0.374188i
\(453\) 23.4280 + 5.00266i 1.10074 + 0.235045i
\(454\) −13.8094 16.2577i −0.648109 0.763013i
\(455\) −38.1256 + 8.39208i −1.78736 + 0.393427i
\(456\) 1.49456 + 2.44899i 0.0699891 + 0.114684i
\(457\) −5.28931 + 15.6981i −0.247423 + 0.734326i 0.749923 + 0.661525i \(0.230090\pi\)
−0.997346 + 0.0728014i \(0.976806\pi\)
\(458\) −42.4806 2.30323i −1.98499 0.107623i
\(459\) −16.7739 19.0091i −0.782938 0.887270i
\(460\) 44.9922 30.5055i 2.09777 1.42233i
\(461\) 4.15597 5.46708i 0.193563 0.254627i −0.689066 0.724699i \(-0.741979\pi\)
0.882628 + 0.470072i \(0.155772\pi\)
\(462\) 12.2795 20.7023i 0.571295 0.963157i
\(463\) 1.33356 + 2.21639i 0.0619757 + 0.103004i 0.886296 0.463120i \(-0.153270\pi\)
−0.824320 + 0.566124i \(0.808442\pi\)
\(464\) 19.0420 10.0954i 0.884003 0.468669i
\(465\) 0.916157 2.77663i 0.0424858 0.128763i
\(466\) −9.06223 + 4.19263i −0.419799 + 0.194220i
\(467\) 2.74519 4.04885i 0.127032 0.187358i −0.758854 0.651260i \(-0.774241\pi\)
0.885887 + 0.463902i \(0.153551\pi\)
\(468\) −2.63245 21.6666i −0.121685 1.00154i
\(469\) 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
\(474\) −5.14879 + 0.311639i −0.236492 + 0.0143140i
\(475\) −11.0451 39.7809i −0.506784 1.82527i
\(476\) 8.06744 + 23.9433i 0.369771 + 1.09744i
\(477\) 11.1451 + 11.4732i 0.510298 + 0.525323i
\(478\) 4.91828 + 10.6307i 0.224957 + 0.486236i
\(479\) 0.894506 4.06378i 0.0408710 0.185679i −0.951762 0.306836i \(-0.900730\pi\)
0.992633 + 0.121157i \(0.0386606\pi\)
\(480\) −17.9490 44.2375i −0.819254 2.01916i
\(481\) −16.6532 + 10.0199i −0.759320 + 0.456868i
\(482\) −0.798397 0.369378i −0.0363660 0.0168247i
\(483\) 27.6331 29.5418i 1.25735 1.34420i
\(484\) 4.78305 + 7.05448i 0.217412 + 0.320658i
\(485\) 33.4932 + 20.1522i 1.52085 + 0.915065i
\(486\) −25.8326 16.3539i −1.17179 0.741826i
\(487\) 15.6833 + 5.28432i 0.710678 + 0.239455i 0.651344 0.758783i \(-0.274206\pi\)
0.0593345 + 0.998238i \(0.481102\pi\)
\(488\) 1.93306 + 2.54290i 0.0875056 + 0.115112i
\(489\) 2.86634 + 24.8981i 0.129620 + 1.12593i
\(490\) 4.55829 3.87184i 0.205922 0.174912i
\(491\) 1.72957 15.9031i 0.0780543 0.717697i −0.888086 0.459678i \(-0.847965\pi\)
0.966140 0.258019i \(-0.0830698\pi\)
\(492\) −7.71591 + 19.7253i −0.347860 + 0.889284i
\(493\) −1.32921 24.5159i −0.0598647 1.10414i
\(494\) 37.6314 + 19.9509i 1.69312 + 0.897634i
\(495\) 16.4794 + 21.1216i 0.740693 + 0.949345i
\(496\) 1.40692 + 1.48526i 0.0631724 + 0.0666903i
\(497\) −6.58668 + 2.62437i −0.295453 + 0.117719i
\(498\) −3.44664 1.79962i −0.154448 0.0806431i
\(499\) −2.94016 2.78507i −0.131620 0.124677i 0.619058 0.785345i \(-0.287514\pi\)
−0.750678 + 0.660668i \(0.770273\pi\)
\(500\) 1.75660 + 16.1517i 0.0785576 + 0.722325i
\(501\) 5.24560 19.3645i 0.234356 0.865140i
\(502\) 29.0301 + 4.75924i 1.29568 + 0.212415i
\(503\) −28.9410 + 3.14752i −1.29042 + 0.140341i −0.727462 0.686148i \(-0.759300\pi\)
−0.562953 + 0.826489i \(0.690335\pi\)
\(504\) −1.44471 2.07415i −0.0643525 0.0923900i
\(505\) −11.3904 4.53837i −0.506868 0.201955i
\(506\) −15.2782 38.3455i −0.679200 1.70466i
\(507\) 2.66214 + 3.45665i 0.118230 + 0.153515i
\(508\) 20.7615 24.4423i 0.921141 1.08445i
\(509\) 17.1125 32.2776i 0.758497 1.43068i −0.139292 0.990251i \(-0.544483\pi\)
0.897789 0.440426i \(-0.145173\pi\)
\(510\) −58.5070 2.80333i −2.59073 0.124134i
\(511\) 12.6179 + 3.50334i 0.558183 + 0.154979i
\(512\) 30.6492 + 3.33330i 1.35451 + 0.147312i
\(513\) 26.4052 11.1024i 1.16582 0.490182i
\(514\) −3.59974 16.3538i −0.158778 0.721334i
\(515\) −13.4262 + 10.2063i −0.591628 + 0.449744i
\(516\) −5.28652 2.40557i −0.232726 0.105899i
\(517\) 0.523560 9.65649i 0.0230261 0.424692i
\(518\) 13.9885 23.2491i 0.614620 1.02151i
\(519\) −21.3136 + 11.4720i −0.935561 + 0.503564i
\(520\) 3.33027 + 2.53161i 0.146042 + 0.111018i
\(521\) −7.14695 + 15.4479i −0.313113 + 0.676783i −0.998687 0.0512194i \(-0.983689\pi\)
0.685574 + 0.728003i \(0.259551\pi\)
\(522\) −9.80643 27.9384i −0.429216 1.22283i
\(523\) −13.3743 25.2266i −0.584817 1.10308i −0.982623 0.185612i \(-0.940573\pi\)
0.397806 0.917470i \(-0.369772\pi\)
\(524\) 27.4998 + 6.05316i 1.20133 + 0.264433i
\(525\) 11.8308 + 34.3964i 0.516340 + 1.50118i
\(526\) 24.7541 + 16.7837i 1.07933 + 0.731805i
\(527\) 2.20853 0.744140i 0.0962050 0.0324152i
\(528\) −18.4784 + 3.14881i −0.804169 + 0.137034i
\(529\) −7.50160 45.7577i −0.326157 1.98947i
\(530\) 36.9563 1.60528
\(531\) −23.0392 + 0.444249i −0.999814 + 0.0192788i
\(532\) −28.5474 −1.23769
\(533\) −4.22009 25.7414i −0.182792 1.11498i
\(534\) −38.4602 + 6.55380i −1.66433 + 0.283611i
\(535\) 40.7724 13.7378i 1.76275 0.593938i
\(536\) −0.781897 0.530139i −0.0337728 0.0228985i
\(537\) −12.5299 36.4288i −0.540704 1.57202i
\(538\) 28.4708 + 6.26690i 1.22746 + 0.270185i
\(539\) −1.02126 1.92631i −0.0439889 0.0829719i
\(540\) −32.9771 + 7.91377i −1.41911 + 0.340554i
\(541\) −6.46735 + 13.9790i −0.278053 + 0.601002i −0.995410 0.0957040i \(-0.969490\pi\)
0.717357 + 0.696706i \(0.245352\pi\)
\(542\) −21.4444 16.3016i −0.921115 0.700214i
\(543\) −21.6107 + 11.6319i −0.927402 + 0.499173i
\(544\) 19.6179 32.6053i 0.841112 1.39794i
\(545\) 0.845484 15.5940i 0.0362165 0.667975i
\(546\) −34.1560 15.5423i −1.46174 0.665148i
\(547\) −17.1765 + 13.0572i −0.734413 + 0.558286i −0.904156 0.427202i \(-0.859499\pi\)
0.169743 + 0.985488i \(0.445706\pi\)
\(548\) −1.50081 6.81826i −0.0641115 0.291262i
\(549\) 27.9862 15.2913i 1.19442 0.652615i
\(550\) 36.8992 + 4.01303i 1.57339 + 0.171116i
\(551\) 26.7295 + 7.42140i 1.13871 + 0.316162i
\(552\) −4.32971 0.207456i −0.184285 0.00882991i
\(553\) −1.99436 + 3.76176i −0.0848088 + 0.159966i
\(554\) 28.9779 34.1155i 1.23115 1.44943i
\(555\) 18.4263 + 23.9256i 0.782151 + 1.01558i
\(556\) −3.95932 9.93715i −0.167913 0.421429i
\(557\) −24.3716 9.71054i −1.03266 0.411449i −0.208628 0.977995i \(-0.566900\pi\)
−0.824030 + 0.566546i \(0.808279\pi\)
\(558\) 2.30629 1.60640i 0.0976328 0.0680043i
\(559\) 7.11102 0.773370i 0.300764 0.0327101i
\(560\) −41.8834 6.86643i −1.76990 0.290160i
\(561\) −5.58313 + 20.6104i −0.235720 + 0.870174i
\(562\) 4.52670 + 41.6223i 0.190947 + 1.75573i
\(563\) 10.7173 + 10.1520i 0.451682 + 0.427856i 0.879420 0.476047i \(-0.157931\pi\)
−0.427738 + 0.903903i \(0.640689\pi\)
\(564\) 10.8519 + 5.66622i 0.456949 + 0.238591i
\(565\) 14.6771 5.84788i 0.617469 0.246022i
\(566\) 24.2427 + 25.5927i 1.01899 + 1.07574i
\(567\) −22.6305 + 11.1692i −0.950391 + 0.469064i
\(568\) 0.671273 + 0.355886i 0.0281660 + 0.0149327i
\(569\) 1.69608 + 31.2824i 0.0711035 + 1.31143i 0.788618 + 0.614883i \(0.210797\pi\)
−0.717515 + 0.696543i \(0.754720\pi\)
\(570\) 24.1093 61.6339i 1.00983 2.58156i
\(571\) −0.0898877 + 0.826504i −0.00376168 + 0.0345881i −0.995868 0.0908086i \(-0.971055\pi\)
0.992107 + 0.125397i \(0.0400204\pi\)
\(572\) −14.0112 + 11.9012i −0.585839 + 0.497616i
\(573\) −3.03916 26.3992i −0.126963 1.10284i
\(574\) 22.0384 + 28.9910i 0.919865 + 1.21006i
\(575\) 59.1117 + 19.9171i 2.46513 + 0.830599i
\(576\) 5.15713 19.5235i 0.214881 0.813478i
\(577\) −28.5757 17.1934i −1.18962 0.715771i −0.223712 0.974655i \(-0.571818\pi\)
−0.965908 + 0.258884i \(0.916645\pi\)
\(578\) −7.48903 11.0455i −0.311503 0.459432i
\(579\) 21.8131 23.3197i 0.906521 0.969135i
\(580\) −29.8078 13.7906i −1.23770 0.572623i
\(581\) −2.75001 + 1.65463i −0.114090 + 0.0686456i
\(582\) 14.1268 + 34.8174i 0.585576 + 1.44323i
\(583\) 2.89618 13.1575i 0.119948 0.544928i
\(584\) −0.589213 1.27356i −0.0243818 0.0527004i
\(585\) 29.9583 29.1014i 1.23862 1.20320i
\(586\) −11.0892 32.9116i −0.458091 1.35956i
\(587\) −12.0287 43.3234i −0.496477 1.78815i −0.607489 0.794328i \(-0.707823\pi\)
0.111012 0.993819i \(-0.464591\pi\)
\(588\) 2.75500 0.166751i 0.113614 0.00687668i
\(589\) 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 \(-0.476501\pi\)
0.577349 + 0.816498i \(0.304087\pi\)
\(594\) 0.485717 + 25.7473i 0.0199292 + 1.05643i
\(595\) −27.1327 + 40.0177i −1.11233 + 1.64057i
\(596\) −4.75244 + 2.19871i −0.194668 + 0.0900628i
\(597\) −8.34620 + 25.2951i −0.341587 + 1.03526i
\(598\) −56.8558 + 30.1430i −2.32501 + 1.23264i
\(599\) −6.18311 10.2764i −0.252635 0.419883i 0.704422 0.709781i \(-0.251206\pi\)
−0.957057 + 0.289898i \(0.906379\pi\)
\(600\) 1.98848 3.35242i 0.0811794 0.136862i
\(601\) 0.716451 0.942475i 0.0292246 0.0384443i −0.781249 0.624220i \(-0.785417\pi\)
0.810473 + 0.585776i \(0.199210\pi\)
\(602\) −8.26534 + 5.60404i −0.336870 + 0.228404i
\(603\) −6.39954 + 6.92837i −0.260609 + 0.282145i
\(604\) 25.5058 + 1.38288i 1.03781 + 0.0562687i
\(605\) −5.20773 + 15.4560i −0.211725 + 0.628376i
\(606\) −6.13984 10.0607i −0.249414 0.408690i
\(607\) 4.27809 0.941680i 0.173643 0.0382216i −0.127298 0.991865i \(-0.540630\pi\)
0.300941 + 0.953643i \(0.402699\pi\)
\(608\) 27.8339 + 32.7686i 1.12881 + 1.32894i
\(609\) −23.9016 5.10380i −0.968543 0.206816i
\(610\) 19.7124 70.9976i 0.798131 2.87461i
\(611\) −15.0547 + 0.816243i −0.609048 + 0.0330216i
\(612\) −20.8206 17.2392i −0.841624 0.696854i
\(613\) 19.2013 + 16.3098i 0.775534 + 0.658745i 0.945103 0.326774i \(-0.105962\pi\)
−0.169568 + 0.985518i \(0.554237\pi\)
\(614\) −39.8085 + 37.7086i −1.60654 + 1.52180i
\(615\) −38.9850 + 11.0886i −1.57203 + 0.447136i
\(616\) −0.788038 + 1.97783i −0.0317509 + 0.0796888i
\(617\) −10.1877 + 10.7550i −0.410141 + 0.432981i −0.898036 0.439921i \(-0.855006\pi\)
0.487895 + 0.872902i \(0.337765\pi\)
\(618\) −16.2114 + 0.101931i −0.652118 + 0.00410025i
\(619\) −3.74739 + 22.8580i −0.150620 + 0.918742i 0.798077 + 0.602556i \(0.205851\pi\)
−0.948697 + 0.316187i \(0.897597\pi\)
\(620\) 0.504368 3.07651i 0.0202559 0.123555i
\(621\) −8.50456 + 42.4338i −0.341276 + 1.70281i
\(622\) 2.65533 2.80320i 0.106469 0.112398i
\(623\) −11.9198 + 29.9165i −0.477558 + 1.19858i
\(624\) 7.99502 + 28.1087i 0.320057 + 1.12525i
\(625\) 4.61486 4.37143i 0.184594 0.174857i
\(626\) 38.5699 + 32.7616i 1.54156 + 1.30942i
\(627\) −20.0540 13.4137i −0.800881 0.535692i
\(628\) 2.22123 0.120432i 0.0886368 0.00480575i
\(629\) −6.43951 + 23.1930i −0.256760 + 0.924767i
\(630\) −17.9216 + 55.4858i −0.714015 + 2.21061i
\(631\) −17.8274 20.9880i −0.709696 0.835519i 0.282622 0.959231i \(-0.408796\pi\)
−0.992318 + 0.123713i \(0.960520\pi\)
\(632\) 0.445584 0.0980804i 0.0177244 0.00390143i
\(633\) 19.3732 11.8230i 0.770015 0.469922i
\(634\) −0.293496 + 0.871064i −0.0116562 + 0.0345944i
\(635\) 61.2784 + 3.32242i 2.43176 + 0.131846i
\(636\) 13.6419 + 10.2356i 0.540937 + 0.405869i
\(637\) −2.81341 + 1.90754i −0.111471 + 0.0755795i
\(638\) −15.0927 + 19.8541i −0.597526 + 0.786032i
\(639\) 4.51434 6.09614i 0.178585 0.241159i
\(640\) 4.36689 + 7.25783i 0.172617 + 0.286891i
\(641\) −26.9370 + 14.2811i −1.06395 + 0.564069i −0.905956 0.423371i \(-0.860847\pi\)
−0.157991 + 0.987441i \(0.550502\pi\)
\(642\) 39.2752 + 12.9589i 1.55007 + 0.511449i
\(643\) 6.39730 2.95970i 0.252285 0.116719i −0.289671 0.957126i \(-0.593546\pi\)
0.541956 + 0.840407i \(0.317684\pi\)
\(644\) 24.2046 35.6991i 0.953796 1.40674i
\(645\) −2.45746 10.8393i −0.0967623 0.426796i
\(646\) 50.8284 14.1124i 1.99982 0.555247i
\(647\) −25.2336 + 4.13684i −0.992036 + 0.162636i −0.635878 0.771790i \(-0.719362\pi\)
−0.356158 + 0.934426i \(0.615914\pi\)
\(648\) 2.48215 + 1.07343i 0.0975081 + 0.0421684i
\(649\) 10.9996 + 15.9913i 0.431771 + 0.627712i
\(650\) 57.8661i 2.26969i
\(651\) −0.140162 2.31571i −0.00549339 0.0907599i
\(652\) 7.14913 + 25.7488i 0.279981 + 1.00840i
\(653\) −0.984127 2.92078i −0.0385119 0.114299i 0.926672 0.375870i \(-0.122656\pi\)
−0.965184 + 0.261571i \(0.915760\pi\)
\(654\) 9.64639 11.5024i 0.377204 0.449780i
\(655\) 22.6250 + 48.9031i 0.884031 + 1.91080i
\(656\) 6.09650 27.6967i 0.238028 1.08137i
\(657\) −13.4513 + 3.91758i −0.524786 + 0.152839i
\(658\) 18.0354 10.8516i 0.703094 0.423038i
\(659\) 6.29956 + 2.91449i 0.245396 + 0.113532i 0.538732 0.842477i \(-0.318903\pi\)
−0.293336 + 0.956009i \(0.594766\pi\)
\(660\) 20.8608 + 19.5131i 0.812007 + 0.759545i
\(661\) −3.54891 5.23424i −0.138036 0.203588i 0.752387 0.658721i \(-0.228902\pi\)
−0.890424 + 0.455133i \(0.849592\pi\)
\(662\) −1.68447 1.01351i −0.0654689 0.0393913i
\(663\) 32.8849 + 5.17911i 1.27715 + 0.201140i
\(664\) 0.325913 + 0.109813i 0.0126479 + 0.00426156i
\(665\) −33.0596 43.4891i −1.28199 1.68644i
\(666\) 0.365028 + 29.0265i 0.0141445 + 1.12475i
\(667\) −31.9439 + 27.1334i −1.23687 + 1.05061i
\(668\) 2.31283 21.2661i 0.0894859 0.822809i
\(669\) −38.5707 15.0877i −1.49123 0.583323i
\(670\) 1.17977 + 21.7595i 0.0455784 + 0.840643i
\(671\) −23.7324 12.5821i −0.916177 0.485726i
\(672\) −26.2221 27.3360i −1.01154 1.05451i
\(673\) −34.4657 36.3850i −1.32856 1.40254i −0.852134 0.523324i \(-0.824692\pi\)
−0.476423 0.879216i \(-0.658067\pi\)
\(674\) −45.6391 + 18.1843i −1.75795 + 0.700433i
\(675\) −30.1300 24.6296i −1.15970 0.947993i
\(676\) 3.37733 + 3.19918i 0.129897 + 0.123045i
\(677\) −4.81215 44.2470i −0.184946 1.70055i −0.607586 0.794254i \(-0.707862\pi\)
0.422640 0.906298i \(-0.361103\pi\)
\(678\) 14.6588 + 3.97090i 0.562968 + 0.152501i
\(679\) 30.6062 + 5.01764i 1.17456 + 0.192559i
\(680\) 5.15059 0.560160i 0.197516 0.0214812i
\(681\) 14.2803 12.2852i 0.547222 0.470769i
\(682\) −2.19918 0.876233i −0.0842109 0.0335527i
\(683\) 3.77406 + 9.47217i 0.144410 + 0.362443i 0.983334 0.181806i \(-0.0581942\pi\)
−0.838924 + 0.544248i \(0.816815\pi\)
\(684\) 25.9701 16.0739i 0.992991 0.614601i
\(685\) 8.64891 10.1823i 0.330458 0.389045i
\(686\) −15.8100 + 29.8208i −0.603628 + 1.13856i
\(687\) 1.79808 37.5268i 0.0686009 1.43174i
\(688\) 7.49324 + 2.08049i 0.285677 + 0.0793178i
\(689\) −20.8808 2.27092i −0.795495 0.0865153i
\(690\) 56.6329 + 82.4071i 2.15598 + 3.13718i
\(691\) −5.37851 24.4348i −0.204608 0.929543i −0.961242 0.275705i \(-0.911089\pi\)
0.756634 0.653838i \(-0.226842\pi\)
\(692\) −20.5459 + 15.6186i −0.781037 + 0.593729i
\(693\) 18.3500 + 10.7289i 0.697061 + 0.407558i
\(694\) −1.77213 + 32.6850i −0.0672691 + 1.24070i
\(695\) 10.5531 17.5394i 0.400303 0.665309i
\(696\) 1.24128 + 2.30615i 0.0470507 + 0.0874146i
\(697\) −25.7187 19.5509i −0.974166 0.740542i
\(698\) 3.01704 6.52122i 0.114197 0.246832i
\(699\) −3.75277 7.97943i −0.141943 0.301810i
\(700\) 18.1667 + 34.2661i 0.686638 + 1.29514i
\(701\) 31.0515 + 6.83496i 1.17280 + 0.258153i 0.758306 0.651899i \(-0.226027\pi\)
0.414494 + 0.910052i \(0.363958\pi\)
\(702\) 39.8236 5.09279i 1.50304 0.192215i
\(703\) −22.5103 15.2624i −0.848993 0.575632i
\(704\) −16.1179 + 5.43076i −0.607467 + 0.204680i
\(705\) 3.93528 + 23.0937i 0.148211 + 0.869758i
\(706\) 6.14376 + 37.4753i 0.231223 + 1.41040i
\(707\) −9.72873 −0.365887
\(708\) −24.1927 + 4.28967i −0.909217 + 0.161216i
\(709\) −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
\(711\) −0.303792 4.54508i −0.0113931 0.170454i
\(712\) 3.27025 1.10188i 0.122558 0.0412945i
\(713\) −3.29289 2.23263i −0.123320 0.0836127i
\(714\) −43.9487 + 15.1164i −1.64474 + 0.565716i
\(715\) −34.3562 7.56236i −1.28485 0.282816i
\(716\) −19.2401 36.2907i −0.719037 1.35625i
\(717\) −9.36049 + 4.40228i −0.349574 + 0.164406i
\(718\) 2.48799 5.37771i 0.0928511 0.200694i
\(719\) 4.26859 + 3.24490i 0.159191 + 0.121014i 0.681738 0.731597i \(-0.261225\pi\)
−0.522546 + 0.852611i \(0.675018\pi\)
\(720\) 41.9683 17.3363i 1.56407 0.646087i
\(721\) −6.89895 + 11.4661i −0.256930 + 0.427021i
\(722\) −1.20931 + 22.3045i −0.0450060 + 0.830086i
\(723\) 0.321759 0.707104i 0.0119663 0.0262975i
\(724\) −20.8323 + 15.8363i −0.774226 + 0.588551i
\(725\) −8.10178 36.8068i −0.300893 1.36697i
\(726\) −12.9209 + 8.87966i −0.479539 + 0.329555i
\(727\) 6.99812 + 0.761091i 0.259546 + 0.0282273i 0.236967 0.971518i \(-0.423847\pi\)
0.0225790 + 0.999745i \(0.492812\pi\)
\(728\) 3.19824 + 0.887986i 0.118535 + 0.0329109i
\(729\) 14.2984 22.9032i 0.529571 0.848266i
\(730\) −15.1624 + 28.5992i −0.561184 + 1.05851i
\(731\) 5.73513 6.75191i 0.212121 0.249729i
\(732\) 26.9404 20.7482i 0.995747 0.766874i
\(733\) −17.1166 42.9595i −0.632217 1.58674i −0.799387 0.600817i \(-0.794842\pi\)
0.167170 0.985928i \(-0.446537\pi\)
\(734\) 20.6673 + 8.23462i 0.762846 + 0.303945i
\(735\) 3.44448 + 4.00386i 0.127051 + 0.147684i
\(736\) −64.5776 + 7.02324i −2.38036 + 0.258880i
\(737\) 7.83946 + 1.28521i 0.288770 + 0.0473415i
\(738\) −36.3724 13.9647i −1.33889 0.514048i
\(739\) 0.894006 + 8.22025i 0.0328865 + 0.302387i 0.999017 + 0.0443321i \(0.0141160\pi\)
−0.966130 + 0.258055i \(0.916919\pi\)
\(740\) 23.3765 + 22.1434i 0.859339 + 0.814009i
\(741\) −17.4094 + 33.3425i −0.639550 + 1.22487i
\(742\) 27.2404 10.8536i 1.00003 0.398447i
\(743\) 4.91795 + 5.19182i 0.180422 + 0.190469i 0.809933 0.586522i \(-0.199503\pi\)
−0.629511 + 0.776992i \(0.716745\pi\)
\(744\) −0.179405 + 0.172095i −0.00657731 + 0.00630929i
\(745\) −8.85313 4.69363i −0.324354 0.171961i
\(746\) −2.97617 54.8923i −0.108965 2.00975i
\(747\) 1.57008 3.05367i 0.0574463 0.111728i
\(748\) −2.46164 + 22.6344i −0.0900066 + 0.827597i
\(749\) 26.0187 22.1005i 0.950701 0.807533i
\(750\) −29.6895 + 3.41794i −1.08411 + 0.124806i
\(751\) −17.1770 22.5960i −0.626798 0.824538i 0.367629 0.929973i \(-0.380170\pi\)
−0.994426 + 0.105435i \(0.966377\pi\)
\(752\) −15.5335 5.23384i −0.566448 0.190859i
\(753\) −4.04162 + 25.6625i −0.147285 + 0.935192i
\(754\) 33.3157 + 20.0454i 1.21328 + 0.730009i
\(755\) 27.4305 + 40.4570i 0.998298 + 1.47238i
\(756\) −21.9832 + 15.5182i −0.799520 + 0.564390i
\(757\) 31.9694 + 14.7906i 1.16195 + 0.537574i 0.903557 0.428467i \(-0.140946\pi\)
0.258389 + 0.966041i \(0.416808\pi\)
\(758\) −23.2578 + 13.9937i −0.844761 + 0.508276i
\(759\) 33.7775 13.7049i 1.22604 0.497456i
\(760\) −1.25840 + 5.71699i −0.0456471 + 0.207377i
\(761\) −2.99057 6.46401i −0.108408 0.234320i 0.845777 0.533536i \(-0.179137\pi\)
−0.954186 + 0.299216i \(0.903275\pi\)
\(762\) 45.1999 + 37.9065i 1.63742 + 1.37321i
\(763\) −3.95656 11.7426i −0.143237 0.425112i
\(764\) −7.58017 27.3013i −0.274241 0.987726i
\(765\) 2.15072 51.6822i 0.0777595 1.86857i
\(766\) 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 −0.132185 0.991225i \(-0.542199\pi\)
0.191234 + 0.981544i \(0.438751\pi\)
\(770\) 47.3218 13.1388i 1.70536 0.473491i
\(771\) 14.4218 3.26968i 0.519387 0.117755i
\(772\) 19.1067 28.1803i 0.687665 1.01423i
\(773\) 9.79829 4.53317i 0.352420 0.163047i