Properties

Label 605.2.s.b.16.14
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.14
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.14

$q$-expansion

\(f(q)\) \(=\) \(q+(1.25197 + 0.143650i) q^{2} +(0.302448 + 0.219741i) q^{3} +(-0.401226 - 0.0933012i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.347090 + 0.318557i) q^{6} +(-2.98838 - 3.07497i) q^{7} +(-2.86272 - 1.02142i) q^{8} +(-0.883862 - 2.72025i) q^{9} +O(q^{10})\) \(q+(1.25197 + 0.143650i) q^{2} +(0.302448 + 0.219741i) q^{3} +(-0.401226 - 0.0933012i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.347090 + 0.318557i) q^{6} +(-2.98838 - 3.07497i) q^{7} +(-2.86272 - 1.02142i) q^{8} +(-0.883862 - 2.72025i) q^{9} +(-0.825246 + 0.952385i) q^{10} +(2.93189 - 1.55048i) q^{11} +(-0.100848 - 0.116385i) q^{12} +(-2.19803 + 3.64502i) q^{13} +(-3.29965 - 4.27906i) q^{14} +(-0.352105 + 0.125631i) q^{15} +(-2.69798 - 1.32651i) q^{16} +(4.31459 - 3.52802i) q^{17} +(-0.715806 - 3.53264i) q^{18} +(-6.44509 - 0.368544i) q^{19} +(0.303487 - 0.278538i) q^{20} +(-0.228131 - 1.58669i) q^{21} +(3.89338 - 1.51999i) q^{22} +(0.376659 - 2.61972i) q^{23} +(-0.641376 - 0.937983i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-3.27548 + 4.24772i) q^{26} +(0.677003 - 2.08360i) q^{27} +(0.912118 + 1.51258i) q^{28} +(-0.678338 + 1.74230i) q^{29} +(-0.458872 + 0.106706i) q^{30} +(-8.04170 - 3.39845i) q^{31} +(1.92671 + 1.23822i) q^{32} +(1.22745 + 0.175318i) q^{33} +(5.90854 - 3.79719i) q^{34} +(4.22507 - 0.731177i) q^{35} +(0.100826 + 1.17390i) q^{36} +(-0.534341 + 6.22122i) q^{37} +(-8.01613 - 1.38725i) q^{38} +(-1.46575 + 0.619432i) q^{39} +(2.45899 - 1.78656i) q^{40} +(7.43786 - 4.20035i) q^{41} +(-0.0576856 - 2.01926i) q^{42} +(8.97510 - 2.63533i) q^{43} +(-1.32101 + 0.348545i) q^{44} +(2.74438 + 0.805822i) q^{45} +(0.847891 - 3.22571i) q^{46} +(-1.20826 + 5.96301i) q^{47} +(-0.524511 - 0.994058i) q^{48} +(-0.325135 + 11.3812i) q^{49} +(-0.320362 - 1.21878i) q^{50} +(2.08019 - 0.118950i) q^{51} +(1.22199 - 1.25740i) q^{52} +(6.58574 - 3.23799i) q^{53} +(1.14690 - 2.51136i) q^{54} +(-0.375009 + 3.29536i) q^{55} +(5.41407 + 11.8552i) q^{56} +(-1.86832 - 1.52772i) q^{57} +(-1.09954 + 2.08386i) q^{58} +(-5.44877 - 3.07706i) q^{59} +(0.152995 - 0.0175546i) q^{60} +(-2.29992 + 0.263891i) q^{61} +(-9.57980 - 5.40996i) q^{62} +(-5.72337 + 10.8470i) q^{63} +(6.88915 + 5.63323i) q^{64} +(-1.76820 - 3.87182i) q^{65} +(1.51155 + 0.395817i) q^{66} +(-0.627464 + 1.37396i) q^{67} +(-2.06029 + 1.01298i) q^{68} +(0.689581 - 0.709562i) q^{69} +(5.39470 - 0.308480i) q^{70} +(0.738873 + 2.81097i) q^{71} +(-0.248256 + 8.69010i) q^{72} +(-7.58811 - 14.3811i) q^{73} +(-1.56266 + 7.71204i) q^{74} +(0.0950386 - 0.361564i) q^{75} +(2.55155 + 0.749204i) q^{76} +(-13.5293 - 4.38206i) q^{77} +(-1.92406 + 0.564956i) q^{78} +(-0.0204034 - 0.714211i) q^{79} +(2.61785 - 1.47837i) q^{80} +(-6.27933 + 4.56220i) q^{81} +(9.91537 - 4.19027i) q^{82} +(-4.14550 - 0.717406i) q^{83} +(-0.0565076 + 0.657906i) q^{84} +(0.476942 + 5.55294i) q^{85} +(11.6151 - 2.01008i) q^{86} +(-0.588017 + 0.377896i) q^{87} +(-9.97688 + 1.44391i) q^{88} +(-14.4876 - 9.31059i) q^{89} +(3.32013 + 1.40310i) q^{90} +(17.7769 - 4.13384i) q^{91} +(-0.395549 + 1.01596i) q^{92} +(-1.68542 - 2.79495i) q^{93} +(-2.36930 + 7.29195i) q^{94} +(3.94211 - 5.11222i) q^{95} +(0.310640 + 0.797874i) q^{96} +(8.95287 + 13.0932i) q^{97} +(-2.04197 + 14.2022i) q^{98} +(-6.80909 - 6.60507i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.25197 + 0.143650i 0.885278 + 0.101576i 0.544691 0.838637i \(-0.316647\pi\)
0.340587 + 0.940213i \(0.389374\pi\)
\(3\) 0.302448 + 0.219741i 0.174618 + 0.126868i 0.671662 0.740858i \(-0.265581\pi\)
−0.497043 + 0.867726i \(0.665581\pi\)
\(4\) −0.401226 0.0933012i −0.200613 0.0466506i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 0.347090 + 0.318557i 0.141699 + 0.130050i
\(7\) −2.98838 3.07497i −1.12950 1.16223i −0.984969 0.172729i \(-0.944742\pi\)
−0.144532 0.989500i \(-0.546168\pi\)
\(8\) −2.86272 1.02142i −1.01212 0.361125i
\(9\) −0.883862 2.72025i −0.294621 0.906750i
\(10\) −0.825246 + 0.952385i −0.260966 + 0.301171i
\(11\) 2.93189 1.55048i 0.884000 0.467488i
\(12\) −0.100848 0.116385i −0.0291123 0.0335974i
\(13\) −2.19803 + 3.64502i −0.609624 + 1.01095i 0.386440 + 0.922314i \(0.373705\pi\)
−0.996064 + 0.0886335i \(0.971750\pi\)
\(14\) −3.29965 4.27906i −0.881867 1.14363i
\(15\) −0.352105 + 0.125631i −0.0909131 + 0.0324377i
\(16\) −2.69798 1.32651i −0.674496 0.331627i
\(17\) 4.31459 3.52802i 1.04644 0.855671i 0.0566781 0.998393i \(-0.481949\pi\)
0.989763 + 0.142722i \(0.0455855\pi\)
\(18\) −0.715806 3.53264i −0.168717 0.832652i
\(19\) −6.44509 0.368544i −1.47861 0.0845497i −0.700936 0.713224i \(-0.747234\pi\)
−0.777669 + 0.628674i \(0.783598\pi\)
\(20\) 0.303487 0.278538i 0.0678617 0.0622829i
\(21\) −0.228131 1.58669i −0.0497823 0.346244i
\(22\) 3.89338 1.51999i 0.830071 0.324063i
\(23\) 0.376659 2.61972i 0.0785389 0.546250i −0.912124 0.409915i \(-0.865558\pi\)
0.990663 0.136335i \(-0.0435325\pi\)
\(24\) −0.641376 0.937983i −0.130920 0.191465i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −3.27548 + 4.24772i −0.642375 + 0.833046i
\(27\) 0.677003 2.08360i 0.130289 0.400989i
\(28\) 0.912118 + 1.51258i 0.172374 + 0.285850i
\(29\) −0.678338 + 1.74230i −0.125964 + 0.323537i −0.980698 0.195531i \(-0.937357\pi\)
0.854733 + 0.519067i \(0.173721\pi\)
\(30\) −0.458872 + 0.106706i −0.0837783 + 0.0194818i
\(31\) −8.04170 3.39845i −1.44433 0.610380i −0.480526 0.876981i \(-0.659554\pi\)
−0.963807 + 0.266600i \(0.914100\pi\)
\(32\) 1.92671 + 1.23822i 0.340597 + 0.218888i
\(33\) 1.22745 + 0.175318i 0.213672 + 0.0305190i
\(34\) 5.90854 3.79719i 1.01331 0.651213i
\(35\) 4.22507 0.731177i 0.714167 0.123592i
\(36\) 0.100826 + 1.17390i 0.0168044 + 0.195650i
\(37\) −0.534341 + 6.22122i −0.0878452 + 1.02276i 0.811160 + 0.584824i \(0.198837\pi\)
−0.899005 + 0.437938i \(0.855709\pi\)
\(38\) −8.01613 1.38725i −1.30039 0.225041i
\(39\) −1.46575 + 0.619432i −0.234708 + 0.0991885i
\(40\) 2.45899 1.78656i 0.388801 0.282480i
\(41\) 7.43786 4.20035i 1.16160 0.655985i 0.214436 0.976738i \(-0.431209\pi\)
0.947163 + 0.320753i \(0.103936\pi\)
\(42\) −0.0576856 2.01926i −0.00890108 0.311579i
\(43\) 8.97510 2.63533i 1.36869 0.401883i 0.486871 0.873474i \(-0.338138\pi\)
0.881818 + 0.471590i \(0.156320\pi\)
\(44\) −1.32101 + 0.348545i −0.199150 + 0.0525451i
\(45\) 2.74438 + 0.805822i 0.409108 + 0.120125i
\(46\) 0.847891 3.22571i 0.125015 0.475605i
\(47\) −1.20826 + 5.96301i −0.176243 + 0.869794i 0.790187 + 0.612865i \(0.209983\pi\)
−0.966430 + 0.256928i \(0.917290\pi\)
\(48\) −0.524511 0.994058i −0.0757066 0.143480i
\(49\) −0.325135 + 11.3812i −0.0464478 + 1.62589i
\(50\) −0.320362 1.21878i −0.0453061 0.172362i
\(51\) 2.08019 0.118950i 0.291285 0.0166563i
\(52\) 1.22199 1.25740i 0.169460 0.174370i
\(53\) 6.58574 3.23799i 0.904621 0.444772i 0.0712323 0.997460i \(-0.477307\pi\)
0.833388 + 0.552688i \(0.186398\pi\)
\(54\) 1.14690 2.51136i 0.156073 0.341753i
\(55\) −0.375009 + 3.29536i −0.0505662 + 0.444346i
\(56\) 5.41407 + 11.8552i 0.723485 + 1.58421i
\(57\) −1.86832 1.52772i −0.247465 0.202351i
\(58\) −1.09954 + 2.08386i −0.144377 + 0.273625i
\(59\) −5.44877 3.07706i −0.709369 0.400599i 0.0944048 0.995534i \(-0.469905\pi\)
−0.803774 + 0.594935i \(0.797178\pi\)
\(60\) 0.152995 0.0175546i 0.0197516 0.00226629i
\(61\) −2.29992 + 0.263891i −0.294475 + 0.0337878i −0.259970 0.965617i \(-0.583713\pi\)
−0.0345047 + 0.999405i \(0.510985\pi\)
\(62\) −9.57980 5.40996i −1.21664 0.687066i
\(63\) −5.72337 + 10.8470i −0.721076 + 1.36659i
\(64\) 6.88915 + 5.63323i 0.861143 + 0.704153i
\(65\) −1.76820 3.87182i −0.219318 0.480240i
\(66\) 1.51155 + 0.395817i 0.186059 + 0.0487217i
\(67\) −0.627464 + 1.37396i −0.0766570 + 0.167855i −0.944080 0.329715i \(-0.893047\pi\)
0.867423 + 0.497571i \(0.165774\pi\)
\(68\) −2.06029 + 1.01298i −0.249847 + 0.122842i
\(69\) 0.689581 0.709562i 0.0830158 0.0854213i
\(70\) 5.39470 0.308480i 0.644790 0.0368704i
\(71\) 0.738873 + 2.81097i 0.0876881 + 0.333600i 0.996499 0.0836088i \(-0.0266446\pi\)
−0.908811 + 0.417209i \(0.863008\pi\)
\(72\) −0.248256 + 8.69010i −0.0292573 + 1.02414i
\(73\) −7.58811 14.3811i −0.888121 1.68318i −0.716000 0.698100i \(-0.754029\pi\)
−0.172120 0.985076i \(-0.555062\pi\)
\(74\) −1.56266 + 7.71204i −0.181656 + 0.896506i
\(75\) 0.0950386 0.361564i 0.0109741 0.0417498i
\(76\) 2.55155 + 0.749204i 0.292683 + 0.0859396i
\(77\) −13.5293 4.38206i −1.54181 0.499382i
\(78\) −1.92406 + 0.564956i −0.217857 + 0.0639686i
\(79\) −0.0204034 0.714211i −0.00229556 0.0803550i −0.999932 0.0116445i \(-0.996293\pi\)
0.997637 0.0687105i \(-0.0218885\pi\)
\(80\) 2.61785 1.47837i 0.292685 0.165287i
\(81\) −6.27933 + 4.56220i −0.697704 + 0.506911i
\(82\) 9.91537 4.19027i 1.09497 0.462738i
\(83\) −4.14550 0.717406i −0.455027 0.0787456i −0.0615992 0.998101i \(-0.519620\pi\)
−0.393428 + 0.919355i \(0.628711\pi\)
\(84\) −0.0565076 + 0.657906i −0.00616548 + 0.0717834i
\(85\) 0.476942 + 5.55294i 0.0517316 + 0.602301i
\(86\) 11.6151 2.01008i 1.25249 0.216752i
\(87\) −0.588017 + 0.377896i −0.0630420 + 0.0405147i
\(88\) −9.97688 + 1.44391i −1.06354 + 0.153921i
\(89\) −14.4876 9.31059i −1.53568 0.986921i −0.988723 0.149759i \(-0.952150\pi\)
−0.546956 0.837162i \(-0.684213\pi\)
\(90\) 3.32013 + 1.40310i 0.349972 + 0.147900i
\(91\) 17.7769 4.13384i 1.86352 0.433344i
\(92\) −0.395549 + 1.01596i −0.0412388 + 0.105921i
\(93\) −1.68542 2.79495i −0.174770 0.289823i
\(94\) −2.36930 + 7.29195i −0.244374 + 0.752107i
\(95\) 3.94211 5.11222i 0.404452 0.524503i
\(96\) 0.310640 + 0.797874i 0.0317046 + 0.0814326i
\(97\) 8.95287 + 13.0932i 0.909027 + 1.32941i 0.943974 + 0.330020i \(0.107055\pi\)
−0.0349475 + 0.999389i \(0.511126\pi\)
\(98\) −2.04197 + 14.2022i −0.206270 + 1.43464i
\(99\) −6.80909 6.60507i −0.684339 0.663835i
\(100\) 0.0586240 + 0.407739i 0.00586240 + 0.0407739i
\(101\) 2.14180 1.96572i 0.213117 0.195597i −0.562507 0.826793i \(-0.690163\pi\)
0.775623 + 0.631196i \(0.217436\pi\)
\(102\) 2.62143 + 0.149899i 0.259560 + 0.0148422i
\(103\) −1.63733 8.08056i −0.161331 0.796202i −0.976254 0.216631i \(-0.930493\pi\)
0.814922 0.579570i \(-0.196780\pi\)
\(104\) 10.0154 8.18958i 0.982094 0.803054i
\(105\) 1.43853 + 0.707280i 0.140387 + 0.0690234i
\(106\) 8.71030 3.10783i 0.846019 0.301859i
\(107\) 4.81353 + 6.24230i 0.465341 + 0.603465i 0.964836 0.262851i \(-0.0846629\pi\)
−0.499495 + 0.866317i \(0.666481\pi\)
\(108\) −0.466034 + 0.772831i −0.0448441 + 0.0743657i
\(109\) 9.00596 + 10.3934i 0.862615 + 0.995511i 0.999988 + 0.00499122i \(0.00158876\pi\)
−0.137373 + 0.990519i \(0.543866\pi\)
\(110\) −0.942880 + 4.07182i −0.0899000 + 0.388233i
\(111\) −1.52867 + 1.76418i −0.145095 + 0.167449i
\(112\) 3.98362 + 12.2603i 0.376417 + 1.15849i
\(113\) 10.9641 + 3.91197i 1.03141 + 0.368007i 0.796903 0.604107i \(-0.206470\pi\)
0.234508 + 0.972114i \(0.424652\pi\)
\(114\) −2.11963 2.18104i −0.198521 0.204274i
\(115\) 1.94991 + 1.78961i 0.181830 + 0.166882i
\(116\) 0.434726 0.635766i 0.0403633 0.0590294i
\(117\) 11.8581 + 2.75749i 1.09628 + 0.254930i
\(118\) −6.37968 4.63511i −0.587297 0.426697i
\(119\) −23.7422 2.72416i −2.17644 0.249723i
\(120\) 1.13630 0.103729
\(121\) 6.19201 9.09170i 0.562910 0.826518i
\(122\) −2.91734 −0.264124
\(123\) 3.17256 + 0.364017i 0.286060 + 0.0328223i
\(124\) 2.90946 + 2.11385i 0.261278 + 0.189829i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) −8.72366 + 12.7580i −0.777166 + 1.13657i
\(127\) −8.03764 7.37688i −0.713225 0.654592i 0.235071 0.971978i \(-0.424468\pi\)
−0.948296 + 0.317386i \(0.897195\pi\)
\(128\) 4.62344 + 4.75740i 0.408658 + 0.420499i
\(129\) 3.29359 + 1.17515i 0.289984 + 0.103466i
\(130\) −1.65755 5.10141i −0.145377 0.447424i
\(131\) 9.24362 10.6677i 0.807619 0.932042i −0.191154 0.981560i \(-0.561223\pi\)
0.998773 + 0.0495180i \(0.0157685\pi\)
\(132\) −0.476128 0.184865i −0.0414416 0.0160904i
\(133\) 18.1271 + 20.9198i 1.57182 + 1.81398i
\(134\) −0.982937 + 1.63002i −0.0849128 + 0.140812i
\(135\) 1.33782 + 1.73492i 0.115142 + 0.149318i
\(136\) −15.9550 + 5.69274i −1.36813 + 0.488149i
\(137\) 6.49553 + 3.19364i 0.554951 + 0.272851i 0.697075 0.716998i \(-0.254484\pi\)
−0.142125 + 0.989849i \(0.545393\pi\)
\(138\) 0.965265 0.789293i 0.0821688 0.0671891i
\(139\) −3.95616 19.5244i −0.335557 1.65604i −0.692130 0.721772i \(-0.743328\pi\)
0.356573 0.934267i \(-0.383945\pi\)
\(140\) −1.76343 0.100837i −0.149037 0.00852224i
\(141\) −1.67575 + 1.53799i −0.141124 + 0.129522i
\(142\) 0.521252 + 3.62539i 0.0437425 + 0.304236i
\(143\) −0.792851 + 14.0948i −0.0663015 + 1.17867i
\(144\) −1.22379 + 8.51164i −0.101982 + 0.709303i
\(145\) −1.05533 1.54338i −0.0876408 0.128171i
\(146\) −7.43425 19.0947i −0.615263 1.58029i
\(147\) −2.59926 + 3.37078i −0.214383 + 0.278017i
\(148\) 0.794839 2.44626i 0.0653354 0.201082i
\(149\) −0.141580 0.234784i −0.0115987 0.0192343i 0.850496 0.525982i \(-0.176302\pi\)
−0.862094 + 0.506748i \(0.830848\pi\)
\(150\) 0.170924 0.439016i 0.0139559 0.0358455i
\(151\) 1.06079 0.246676i 0.0863260 0.0200742i −0.183111 0.983092i \(-0.558617\pi\)
0.269437 + 0.963018i \(0.413162\pi\)
\(152\) 18.0740 + 7.63816i 1.46600 + 0.619536i
\(153\) −13.4106 8.61847i −1.08418 0.696762i
\(154\) −16.3088 7.42970i −1.31420 0.598702i
\(155\) 7.34441 4.71997i 0.589917 0.379117i
\(156\) 0.645892 0.111776i 0.0517128 0.00894925i
\(157\) −1.84150 21.4402i −0.146968 1.71111i −0.584072 0.811702i \(-0.698542\pi\)
0.437105 0.899411i \(-0.356004\pi\)
\(158\) 0.0770522 0.897103i 0.00612995 0.0713697i
\(159\) 2.70336 + 0.467835i 0.214391 + 0.0371018i
\(160\) −2.10963 + 0.891537i −0.166781 + 0.0704822i
\(161\) −9.18117 + 6.67051i −0.723577 + 0.525710i
\(162\) −8.51691 + 4.80972i −0.669152 + 0.377887i
\(163\) 0.372377 + 13.0349i 0.0291668 + 1.02097i 0.873996 + 0.485934i \(0.161520\pi\)
−0.844829 + 0.535037i \(0.820298\pi\)
\(164\) −3.37616 + 0.991331i −0.263634 + 0.0774099i
\(165\) −0.837547 + 0.914269i −0.0652029 + 0.0711757i
\(166\) −5.08699 1.49367i −0.394827 0.115932i
\(167\) 2.51312 9.56091i 0.194471 0.739845i −0.796370 0.604810i \(-0.793249\pi\)
0.990841 0.135035i \(-0.0431147\pi\)
\(168\) −0.967593 + 4.77526i −0.0746514 + 0.368419i
\(169\) −2.38819 4.52612i −0.183707 0.348163i
\(170\) −0.200563 + 7.02063i −0.0153825 + 0.538458i
\(171\) 4.69404 + 17.8580i 0.358962 + 1.36563i
\(172\) −3.84692 + 0.219975i −0.293325 + 0.0167729i
\(173\) 5.30145 5.45506i 0.403062 0.414741i −0.484964 0.874534i \(-0.661167\pi\)
0.888026 + 0.459793i \(0.152076\pi\)
\(174\) −0.790465 + 0.388646i −0.0599250 + 0.0294632i
\(175\) −1.78125 + 3.90039i −0.134650 + 0.294841i
\(176\) −9.96693 + 0.293989i −0.751286 + 0.0221602i
\(177\) −0.971812 2.12797i −0.0730458 0.159948i
\(178\) −16.8005 13.7377i −1.25925 1.02969i
\(179\) 2.00932 3.80808i 0.150183 0.284629i −0.797816 0.602901i \(-0.794011\pi\)
0.948000 + 0.318272i \(0.103102\pi\)
\(180\) −1.02593 0.579371i −0.0764685 0.0431838i
\(181\) −5.43401 + 0.623494i −0.403907 + 0.0463440i −0.313565 0.949567i \(-0.601523\pi\)
−0.0903420 + 0.995911i \(0.528796\pi\)
\(182\) 22.8500 2.62179i 1.69375 0.194340i
\(183\) −0.753594 0.425574i −0.0557073 0.0314593i
\(184\) −3.75410 + 7.11481i −0.276756 + 0.524510i
\(185\) −4.83384 3.95261i −0.355391 0.290602i
\(186\) −1.70860 3.74131i −0.125281 0.274326i
\(187\) 7.17978 17.0335i 0.525038 1.24561i
\(188\) 1.04114 2.27978i 0.0759331 0.166270i
\(189\) −8.43015 + 4.14483i −0.613203 + 0.301492i
\(190\) 5.66978 5.83407i 0.411329 0.423248i
\(191\) −4.65444 + 0.266151i −0.336784 + 0.0192580i −0.224663 0.974437i \(-0.572128\pi\)
−0.112121 + 0.993695i \(0.535764\pi\)
\(192\) 0.845756 + 3.21759i 0.0610372 + 0.232209i
\(193\) 0.781651 27.3613i 0.0562645 1.96951i −0.143446 0.989658i \(-0.545818\pi\)
0.199711 0.979855i \(-0.436000\pi\)
\(194\) 9.32791 + 17.6783i 0.669705 + 1.26923i
\(195\) 0.316010 1.55957i 0.0226300 0.111683i
\(196\) 1.19233 4.53610i 0.0851666 0.324007i
\(197\) 18.0462 + 5.29884i 1.28574 + 0.377527i 0.852014 0.523519i \(-0.175381\pi\)
0.433724 + 0.901046i \(0.357199\pi\)
\(198\) −7.57596 9.24749i −0.538400 0.657190i
\(199\) 3.01209 0.884428i 0.213521 0.0626955i −0.173223 0.984883i \(-0.555418\pi\)
0.386744 + 0.922187i \(0.373600\pi\)
\(200\) 0.0867956 + 3.03824i 0.00613738 + 0.214836i
\(201\) −0.491690 + 0.277670i −0.0346811 + 0.0195853i
\(202\) 2.96384 2.15336i 0.208535 0.151510i
\(203\) 7.38465 3.12078i 0.518300 0.219036i
\(204\) −0.845725 0.146358i −0.0592126 0.0102471i
\(205\) −0.730977 + 8.51061i −0.0510536 + 0.594407i
\(206\) −0.889120 10.3518i −0.0619479 0.721247i
\(207\) −7.45921 + 1.29087i −0.518451 + 0.0897215i
\(208\) 10.7654 6.91851i 0.746447 0.479712i
\(209\) −19.4677 + 8.91246i −1.34661 + 0.616488i
\(210\) 1.69940 + 1.09214i 0.117270 + 0.0753648i
\(211\) −0.0522035 0.0220614i −0.00359384 0.00151877i 0.387472 0.921881i \(-0.373348\pi\)
−0.391066 + 0.920363i \(0.627894\pi\)
\(212\) −2.94448 + 0.684709i −0.202228 + 0.0470260i
\(213\) −0.394215 + 1.01253i −0.0270111 + 0.0693776i
\(214\) 5.12969 + 8.50664i 0.350659 + 0.581502i
\(215\) −2.89054 + 8.89618i −0.197133 + 0.606714i
\(216\) −4.06629 + 5.27326i −0.276676 + 0.358800i
\(217\) 13.5815 + 34.8839i 0.921974 + 2.36807i
\(218\) 9.78219 + 14.3060i 0.662534 + 0.968924i
\(219\) 0.865106 6.01694i 0.0584584 0.406587i
\(220\) 0.457924 1.28719i 0.0308732 0.0867826i
\(221\) 3.37613 + 23.4815i 0.227103 + 1.57953i
\(222\) −2.16728 + 1.98911i −0.145458 + 0.133500i
\(223\) 16.5185 + 0.944562i 1.10616 + 0.0632525i 0.600608 0.799543i \(-0.294925\pi\)
0.505552 + 0.862796i \(0.331289\pi\)
\(224\) −1.95024 9.62483i −0.130306 0.643086i
\(225\) −2.21423 + 1.81057i −0.147615 + 0.120704i
\(226\) 13.1647 + 6.47266i 0.875705 + 0.430555i
\(227\) 3.74474 1.33612i 0.248547 0.0886814i −0.208838 0.977950i \(-0.566968\pi\)
0.457385 + 0.889269i \(0.348786\pi\)
\(228\) 0.607081 + 0.787277i 0.0402049 + 0.0521387i
\(229\) −8.72449 + 14.4679i −0.576530 + 0.956068i 0.422240 + 0.906484i \(0.361244\pi\)
−0.998770 + 0.0495840i \(0.984210\pi\)
\(230\) 2.18415 + 2.52064i 0.144018 + 0.166206i
\(231\) −3.12899 4.29829i −0.205872 0.282807i
\(232\) 3.72150 4.29484i 0.244329 0.281970i
\(233\) 3.77317 + 11.6126i 0.247189 + 0.760769i 0.995269 + 0.0971602i \(0.0309759\pi\)
−0.748080 + 0.663609i \(0.769024\pi\)
\(234\) 14.4499 + 5.15572i 0.944621 + 0.337040i
\(235\) −4.24030 4.36316i −0.276607 0.284621i
\(236\) 1.89910 + 1.74297i 0.123621 + 0.113458i
\(237\) 0.150771 0.220495i 0.00979361 0.0143227i
\(238\) −29.3332 6.82114i −1.90139 0.442149i
\(239\) −7.63279 5.54555i −0.493724 0.358712i 0.312890 0.949789i \(-0.398703\pi\)
−0.806615 + 0.591077i \(0.798703\pi\)
\(240\) 1.11662 + 0.128121i 0.0720777 + 0.00827015i
\(241\) −27.5314 −1.77345 −0.886727 0.462293i \(-0.847027\pi\)
−0.886727 + 0.462293i \(0.847027\pi\)
\(242\) 9.05825 10.4931i 0.582286 0.674520i
\(243\) −9.47416 −0.607768
\(244\) 0.947410 + 0.108705i 0.0606517 + 0.00695913i
\(245\) −9.21134 6.69243i −0.588491 0.427564i
\(246\) 3.91966 + 0.911478i 0.249908 + 0.0581137i
\(247\) 15.5099 22.6824i 0.986869 1.44325i
\(248\) 19.5499 + 17.9427i 1.24142 + 1.13937i
\(249\) −1.09615 1.12791i −0.0694659 0.0714787i
\(250\) 1.18690 + 0.423485i 0.0750661 + 0.0267835i
\(251\) −4.09093 12.5906i −0.258217 0.794711i −0.993179 0.116602i \(-0.962800\pi\)
0.734961 0.678109i \(-0.237200\pi\)
\(252\) 3.30840 3.81810i 0.208410 0.240518i
\(253\) −2.95751 8.26476i −0.185937 0.519601i
\(254\) −9.00321 10.3903i −0.564911 0.651943i
\(255\) −1.07596 + 1.78428i −0.0673792 + 0.111736i
\(256\) −5.76340 7.47410i −0.360212 0.467132i
\(257\) 7.51082 2.67986i 0.468512 0.167165i −0.0912331 0.995830i \(-0.529081\pi\)
0.559745 + 0.828665i \(0.310899\pi\)
\(258\) 3.95467 + 1.94438i 0.246207 + 0.121052i
\(259\) 20.7269 16.9483i 1.28791 1.05312i
\(260\) 0.348204 + 1.71845i 0.0215947 + 0.106574i
\(261\) 5.33904 + 0.305297i 0.330478 + 0.0188974i
\(262\) 13.1052 12.0278i 0.809640 0.743081i
\(263\) −1.53520 10.6775i −0.0946644 0.658405i −0.980805 0.194989i \(-0.937533\pi\)
0.886141 0.463416i \(-0.153376\pi\)
\(264\) −3.33477 1.75563i −0.205241 0.108051i
\(265\) −1.04441 + 7.26400i −0.0641574 + 0.446224i
\(266\) 19.6895 + 28.7950i 1.20724 + 1.76553i
\(267\) −2.33581 5.99948i −0.142949 0.367163i
\(268\) 0.379947 0.492724i 0.0232089 0.0300979i
\(269\) 2.07562 6.38809i 0.126553 0.389489i −0.867628 0.497213i \(-0.834357\pi\)
0.994181 + 0.107725i \(0.0343566\pi\)
\(270\) 1.42570 + 2.36425i 0.0867651 + 0.143884i
\(271\) 10.8892 27.9686i 0.661470 1.69897i −0.0523354 0.998630i \(-0.516666\pi\)
0.713806 0.700344i \(-0.246970\pi\)
\(272\) −16.3206 + 3.79520i −0.989584 + 0.230118i
\(273\) 6.28496 + 2.65605i 0.380383 + 0.160751i
\(274\) 7.67345 + 4.93143i 0.463570 + 0.297918i
\(275\) −2.50855 2.16960i −0.151271 0.130832i
\(276\) −0.342881 + 0.220356i −0.0206390 + 0.0132639i
\(277\) −10.7674 + 1.86338i −0.646952 + 0.111960i −0.484548 0.874765i \(-0.661016\pi\)
−0.162404 + 0.986724i \(0.551925\pi\)
\(278\) −2.14831 25.0123i −0.128847 1.50014i
\(279\) −2.13688 + 24.8792i −0.127931 + 1.48948i
\(280\) −12.8420 2.22240i −0.767458 0.132814i
\(281\) −18.7861 + 7.93907i −1.12068 + 0.473605i −0.869302 0.494282i \(-0.835431\pi\)
−0.251383 + 0.967888i \(0.580885\pi\)
\(282\) −2.31893 + 1.68480i −0.138090 + 0.100329i
\(283\) −1.84300 + 1.04079i −0.109555 + 0.0618686i −0.545537 0.838087i \(-0.683674\pi\)
0.435981 + 0.899956i \(0.356401\pi\)
\(284\) −0.0341890 1.19677i −0.00202874 0.0710153i
\(285\) 2.31565 0.679936i 0.137167 0.0402759i
\(286\) −3.01735 + 17.5324i −0.178420 + 1.03671i
\(287\) −35.1431 10.3189i −2.07443 0.609108i
\(288\) 1.66532 6.33553i 0.0981299 0.373325i
\(289\) 2.79269 13.7825i 0.164276 0.810735i
\(290\) −1.09954 2.08386i −0.0645673 0.122369i
\(291\) −0.169330 + 5.92732i −0.00992629 + 0.347465i
\(292\) 1.70278 + 6.47804i 0.0996475 + 0.379099i
\(293\) 2.38414 0.136330i 0.139283 0.00796449i 0.0126918 0.999919i \(-0.495960\pi\)
0.126591 + 0.991955i \(0.459596\pi\)
\(294\) −3.73841 + 3.84673i −0.218028 + 0.224346i
\(295\) 5.61555 2.76098i 0.326950 0.160750i
\(296\) 7.88413 17.2638i 0.458256 1.00344i
\(297\) −1.24568 7.15858i −0.0722819 0.415383i
\(298\) −0.143527 0.314281i −0.00831431 0.0182058i
\(299\) 8.72105 + 7.13116i 0.504351 + 0.412406i
\(300\) −0.0718663 + 0.136202i −0.00414921 + 0.00786362i
\(301\) −34.9245 19.7228i −2.01302 1.13680i
\(302\) 1.36352 0.156449i 0.0784615 0.00900262i
\(303\) 1.07973 0.123888i 0.0620290 0.00711717i
\(304\) 16.8999 + 9.54379i 0.969274 + 0.547374i
\(305\) 1.08034 2.04747i 0.0618601 0.117238i
\(306\) −15.5516 12.7165i −0.889028 0.726955i
\(307\) −0.100476 0.220012i −0.00573449 0.0125568i 0.906743 0.421684i \(-0.138561\pi\)
−0.912478 + 0.409127i \(0.865833\pi\)
\(308\) 5.01946 + 3.02050i 0.286010 + 0.172109i
\(309\) 1.28043 2.80374i 0.0728408 0.159499i
\(310\) 9.87302 4.85424i 0.560750 0.275702i
\(311\) −3.95947 + 4.07420i −0.224521 + 0.231026i −0.820028 0.572324i \(-0.806042\pi\)
0.595507 + 0.803350i \(0.296951\pi\)
\(312\) 4.82874 0.276117i 0.273373 0.0156321i
\(313\) 0.189224 + 0.719882i 0.0106956 + 0.0406901i 0.972281 0.233817i \(-0.0751217\pi\)
−0.961585 + 0.274507i \(0.911485\pi\)
\(314\) 0.774385 27.1070i 0.0437011 1.52974i
\(315\) −5.72337 10.8470i −0.322475 0.611158i
\(316\) −0.0584503 + 0.288464i −0.00328809 + 0.0162274i
\(317\) −1.91733 + 7.29426i −0.107688 + 0.409687i −0.999049 0.0436074i \(-0.986115\pi\)
0.891361 + 0.453294i \(0.149751\pi\)
\(318\) 3.31733 + 0.974056i 0.186027 + 0.0546223i
\(319\) 0.712585 + 6.15999i 0.0398971 + 0.344893i
\(320\) −8.53860 + 2.50716i −0.477322 + 0.140154i
\(321\) 0.0841519 + 2.94570i 0.00469690 + 0.164413i
\(322\) −12.4528 + 7.03241i −0.693967 + 0.391901i
\(323\) −29.1081 + 21.1483i −1.61962 + 1.17672i
\(324\) 2.94509 1.24461i 0.163616 0.0691448i
\(325\) 4.19413 + 0.725823i 0.232648 + 0.0402614i
\(326\) −1.40626 + 16.3728i −0.0778856 + 0.906805i
\(327\) 0.439968 + 5.12246i 0.0243303 + 0.283272i
\(328\) −25.5828 + 4.42728i −1.41257 + 0.244456i
\(329\) 21.9468 14.1044i 1.20997 0.777598i
\(330\) −1.17992 + 1.02432i −0.0649524 + 0.0563872i
\(331\) 12.4526 + 8.00282i 0.684459 + 0.439875i 0.836112 0.548559i \(-0.184823\pi\)
−0.151653 + 0.988434i \(0.548460\pi\)
\(332\) 1.59635 + 0.674622i 0.0876109 + 0.0370247i
\(333\) 17.3956 4.04516i 0.953271 0.221674i
\(334\) 4.51978 11.6090i 0.247312 0.635215i
\(335\) −0.779994 1.29347i −0.0426156 0.0706700i
\(336\) −1.48926 + 4.58348i −0.0812459 + 0.250049i
\(337\) 6.76733 8.77604i 0.368640 0.478061i −0.570646 0.821196i \(-0.693307\pi\)
0.939286 + 0.343135i \(0.111489\pi\)
\(338\) −2.33977 6.00964i −0.127267 0.326882i
\(339\) 2.45644 + 3.59242i 0.133415 + 0.195114i
\(340\) 0.326734 2.27248i 0.0177196 0.123243i
\(341\) −28.8467 + 2.50461i −1.56213 + 0.135632i
\(342\) 3.31150 + 23.0320i 0.179066 + 1.24543i
\(343\) 13.8551 12.7161i 0.748105 0.686605i
\(344\) −28.3849 1.62311i −1.53041 0.0875122i
\(345\) 0.196494 + 0.969738i 0.0105789 + 0.0522089i
\(346\) 7.42089 6.06803i 0.398949 0.326219i
\(347\) 19.3414 + 9.50955i 1.03830 + 0.510499i 0.879045 0.476738i \(-0.158181\pi\)
0.159257 + 0.987237i \(0.449090\pi\)
\(348\) 0.271186 0.0967590i 0.0145371 0.00518682i
\(349\) 15.8161 + 20.5107i 0.846616 + 1.09791i 0.994059 + 0.108841i \(0.0347138\pi\)
−0.147443 + 0.989071i \(0.547104\pi\)
\(350\) −2.79036 + 4.62729i −0.149151 + 0.247339i
\(351\) 6.10671 + 7.04751i 0.325952 + 0.376168i
\(352\) 7.56873 + 0.643004i 0.403415 + 0.0342723i
\(353\) −18.4230 + 21.2613i −0.980560 + 1.13163i 0.0107323 + 0.999942i \(0.496584\pi\)
−0.991292 + 0.131684i \(0.957962\pi\)
\(354\) −0.910997 2.80376i −0.0484189 0.149018i
\(355\) −2.73743 0.976711i −0.145287 0.0518385i
\(356\) 4.94410 + 5.08736i 0.262037 + 0.269630i
\(357\) −6.58216 6.04105i −0.348365 0.319726i
\(358\) 3.06264 4.47897i 0.161866 0.236721i
\(359\) −23.9690 5.57375i −1.26503 0.294171i −0.460278 0.887775i \(-0.652250\pi\)
−0.804757 + 0.593604i \(0.797705\pi\)
\(360\) −7.03331 5.11000i −0.370688 0.269320i
\(361\) 22.5272 + 2.58476i 1.18564 + 0.136040i
\(362\) −6.89279 −0.362277
\(363\) 3.87058 1.38912i 0.203153 0.0729101i
\(364\) −7.51825 −0.394063
\(365\) 16.1542 + 1.85352i 0.845550 + 0.0970179i
\(366\) −0.882345 0.641061i −0.0461209 0.0335088i
\(367\) 23.4982 + 5.46426i 1.22659 + 0.285232i 0.789255 0.614065i \(-0.210467\pi\)
0.437338 + 0.899297i \(0.355921\pi\)
\(368\) −4.49131 + 6.56833i −0.234126 + 0.342398i
\(369\) −18.0001 16.5203i −0.937045 0.860013i
\(370\) −5.48404 5.64294i −0.285101 0.293362i
\(371\) −29.6374 10.5746i −1.53870 0.549006i
\(372\) 0.415461 + 1.27866i 0.0215407 + 0.0662954i
\(373\) −12.0113 + 13.8618i −0.621921 + 0.717735i −0.976071 0.217454i \(-0.930225\pi\)
0.354150 + 0.935189i \(0.384770\pi\)
\(374\) 11.4357 20.2940i 0.591329 1.04938i
\(375\) 0.244817 + 0.282534i 0.0126423 + 0.0145900i
\(376\) 9.54962 15.8363i 0.492484 0.816693i
\(377\) −4.85971 6.30219i −0.250288 0.324579i
\(378\) −11.1497 + 3.97821i −0.573480 + 0.204617i
\(379\) −4.56226 2.24311i −0.234347 0.115221i 0.320270 0.947326i \(-0.396226\pi\)
−0.554618 + 0.832105i \(0.687135\pi\)
\(380\) −2.05865 + 1.68335i −0.105607 + 0.0863542i
\(381\) −0.809963 3.99732i −0.0414957 0.204789i
\(382\) −5.86546 0.335399i −0.300103 0.0171605i
\(383\) −5.16150 + 4.73718i −0.263740 + 0.242059i −0.797125 0.603814i \(-0.793647\pi\)
0.533385 + 0.845873i \(0.320920\pi\)
\(384\) 0.352951 + 2.45483i 0.0180114 + 0.125272i
\(385\) 11.2538 8.69463i 0.573546 0.443119i
\(386\) 4.90907 34.1433i 0.249865 1.73785i
\(387\) −15.1015 22.0852i −0.767652 1.12266i
\(388\) −2.37052 6.08863i −0.120345 0.309104i
\(389\) 11.3224 14.6831i 0.574068 0.744464i −0.411931 0.911215i \(-0.635146\pi\)
0.985999 + 0.166750i \(0.0533274\pi\)
\(390\) 0.619669 1.90714i 0.0313782 0.0965720i
\(391\) −7.61731 12.6319i −0.385224 0.638822i
\(392\) 12.5557 32.2491i 0.634159 1.62882i
\(393\) 5.13985 1.19522i 0.259271 0.0602909i
\(394\) 21.8321 + 9.22634i 1.09989 + 0.464816i
\(395\) 0.601078 + 0.386289i 0.0302435 + 0.0194363i
\(396\) 2.11572 + 3.28542i 0.106319 + 0.165099i
\(397\) −15.5037 + 9.96360i −0.778106 + 0.500059i −0.868405 0.495856i \(-0.834854\pi\)
0.0902983 + 0.995915i \(0.471218\pi\)
\(398\) 3.89810 0.674592i 0.195394 0.0338142i
\(399\) 0.885564 + 10.3104i 0.0443336 + 0.516167i
\(400\) −0.257277 + 2.99542i −0.0128638 + 0.149771i
\(401\) −24.9551 4.31864i −1.24620 0.215663i −0.490999 0.871160i \(-0.663368\pi\)
−0.755197 + 0.655497i \(0.772459\pi\)
\(402\) −0.655470 + 0.277004i −0.0326918 + 0.0138157i
\(403\) 30.0634 21.8423i 1.49756 1.08804i
\(404\) −1.04275 + 0.588867i −0.0518787 + 0.0292973i
\(405\) −0.221643 7.75852i −0.0110135 0.385524i
\(406\) 9.69367 2.84632i 0.481089 0.141260i
\(407\) 8.07926 + 19.0685i 0.400474 + 0.945188i
\(408\) −6.07650 1.78422i −0.300831 0.0883321i
\(409\) 0.853737 3.24795i 0.0422146 0.160601i −0.942700 0.333641i \(-0.891723\pi\)
0.984915 + 0.173040i \(0.0553590\pi\)
\(410\) −2.13771 + 10.5500i −0.105574 + 0.521029i
\(411\) 1.26279 + 2.39325i 0.0622886 + 0.118050i
\(412\) −0.0969845 + 3.39490i −0.00477808 + 0.167255i
\(413\) 6.82112 + 25.9502i 0.335645 + 1.27693i
\(414\) −9.52416 + 0.544611i −0.468087 + 0.0267662i
\(415\) 2.93210 3.01705i 0.143931 0.148101i
\(416\) −8.74830 + 4.30125i −0.428920 + 0.210886i
\(417\) 3.09379 6.77445i 0.151504 0.331746i
\(418\) −25.6533 + 8.36160i −1.25475 + 0.408979i
\(419\) 6.19566 + 13.5666i 0.302678 + 0.662772i 0.998460 0.0554811i \(-0.0176693\pi\)
−0.695782 + 0.718253i \(0.744942\pi\)
\(420\) −0.511188 0.417996i −0.0249434 0.0203961i
\(421\) −10.2149 + 19.3594i −0.497845 + 0.943522i 0.499184 + 0.866496i \(0.333633\pi\)
−0.997029 + 0.0770255i \(0.975458\pi\)
\(422\) −0.0621882 0.0351193i −0.00302727 0.00170958i
\(423\) 17.2888 1.98370i 0.840610 0.0964510i
\(424\) −22.1605 + 2.54268i −1.07621 + 0.123483i
\(425\) −4.85300 2.74062i −0.235405 0.132939i
\(426\) −0.638996 + 1.21103i −0.0309595 + 0.0586747i
\(427\) 7.68449 + 6.28358i 0.371879 + 0.304084i
\(428\) −1.34890 2.95368i −0.0652016 0.142772i
\(429\) −3.33701 + 4.08873i −0.161113 + 0.197406i
\(430\) −4.89682 + 10.7225i −0.236146 + 0.517087i
\(431\) 18.3585 9.02627i 0.884298 0.434780i 0.0581992 0.998305i \(-0.481464\pi\)
0.826099 + 0.563525i \(0.190555\pi\)
\(432\) −4.59046 + 4.72347i −0.220859 + 0.227258i
\(433\) 11.0469 0.631686i 0.530881 0.0303569i 0.210406 0.977614i \(-0.432521\pi\)
0.320475 + 0.947257i \(0.396158\pi\)
\(434\) 11.9926 + 45.6246i 0.575663 + 2.19005i
\(435\) 0.0199600 0.698692i 0.000957010 0.0334997i
\(436\) −2.64371 5.01039i −0.126611 0.239954i
\(437\) −3.39309 + 16.7455i −0.162313 + 0.801048i
\(438\) 1.94742 7.40877i 0.0930515 0.354005i
\(439\) 5.64360 + 1.65711i 0.269354 + 0.0790895i 0.413621 0.910449i \(-0.364264\pi\)
−0.144266 + 0.989539i \(0.546082\pi\)
\(440\) 4.43947 9.05064i 0.211644 0.431472i
\(441\) 31.2471 9.17497i 1.48796 0.436903i
\(442\) 0.853692 + 29.8831i 0.0406060 + 1.42139i
\(443\) −0.177137 + 0.100034i −0.00841602 + 0.00475274i −0.495935 0.868360i \(-0.665175\pi\)
0.487519 + 0.873112i \(0.337902\pi\)
\(444\) 0.777943 0.565208i 0.0369195 0.0268236i
\(445\) 15.8630 6.70377i 0.751980 0.317789i
\(446\) 20.5450 + 3.55545i 0.972834 + 0.168356i
\(447\) 0.00877117 0.102121i 0.000414862 0.00483015i
\(448\) −3.26538 38.0181i −0.154275 1.79619i
\(449\) 6.32271 1.09419i 0.298387 0.0516379i −0.0193627 0.999813i \(-0.506164\pi\)
0.317750 + 0.948175i \(0.397073\pi\)
\(450\) −3.03224 + 1.94870i −0.142941 + 0.0918628i
\(451\) 15.2945 23.8473i 0.720188 1.12292i
\(452\) −4.03407 2.59254i −0.189747 0.121943i
\(453\) 0.375039 + 0.158493i 0.0176209 + 0.00744665i
\(454\) 4.88024 1.13485i 0.229041 0.0532612i
\(455\) −6.62168 + 17.0076i −0.310429 + 0.797330i
\(456\) 3.78804 + 6.28176i 0.177391 + 0.294170i
\(457\) −4.57378 + 14.0767i −0.213952 + 0.658478i 0.785274 + 0.619149i \(0.212522\pi\)
−0.999226 + 0.0393294i \(0.987478\pi\)
\(458\) −13.0011 + 16.8602i −0.607503 + 0.787824i
\(459\) −4.43000 11.3784i −0.206775 0.531096i
\(460\) −0.615381 0.899966i −0.0286923 0.0419611i
\(461\) 0.915454 6.36712i 0.0426369 0.296546i −0.957334 0.288982i \(-0.906683\pi\)
0.999971 0.00756414i \(-0.00240776\pi\)
\(462\) −3.29995 5.83082i −0.153528 0.271274i
\(463\) −0.915173 6.36517i −0.0425317 0.295815i −0.999974 0.00719026i \(-0.997711\pi\)
0.957442 0.288624i \(-0.0931978\pi\)
\(464\) 4.14132 3.80087i 0.192256 0.176451i
\(465\) 3.25848 + 0.186326i 0.151108 + 0.00864068i
\(466\) 3.05575 + 15.0807i 0.141555 + 0.698600i
\(467\) −22.5653 + 18.4516i −1.04420 + 0.853837i −0.989481 0.144665i \(-0.953790\pi\)
−0.0547181 + 0.998502i \(0.517426\pi\)
\(468\) −4.50052 2.21276i −0.208036 0.102285i
\(469\) 6.09997 2.17647i 0.281671 0.100500i
\(470\) −4.68196 6.07168i −0.215963 0.280066i
\(471\) 4.15434 6.88919i 0.191422 0.317437i
\(472\) 12.4553 + 14.3742i 0.573303 + 0.661627i
\(473\) 22.2280 21.6422i 1.02205 0.995110i
\(474\) 0.220435 0.254395i 0.0101249 0.0116848i
\(475\) 1.99490 + 6.13966i 0.0915321 + 0.281707i
\(476\) 9.27182 + 3.30818i 0.424973 + 0.151630i
\(477\) −14.6290 15.0529i −0.669817 0.689225i
\(478\) −8.75942 8.03932i −0.400647 0.367710i
\(479\) 16.0693 23.5006i 0.734225 1.07377i −0.259910 0.965633i \(-0.583693\pi\)
0.994136 0.108138i \(-0.0344888\pi\)
\(480\) −0.833961 0.193929i −0.0380649 0.00885162i
\(481\) −21.5020 15.6221i −0.980407 0.712308i
\(482\) −34.4686 3.95490i −1.57000 0.180141i
\(483\) −4.24261 −0.193046
\(484\) −3.33266 + 3.07011i −0.151485 + 0.139550i
\(485\) −15.8614 −0.720230
\(486\) −11.8614 1.36097i −0.538043 0.0617347i
\(487\) −8.75312 6.35951i −0.396642 0.288177i 0.371530 0.928421i \(-0.378833\pi\)
−0.768172 + 0.640244i \(0.778833\pi\)
\(488\) 6.85357 + 1.59373i 0.310246 + 0.0721447i
\(489\) −2.75168 + 4.02420i −0.124435 + 0.181981i
\(490\) −10.5710 9.70195i −0.477548 0.438289i
\(491\) −17.8677 18.3854i −0.806358 0.829722i 0.181773 0.983341i \(-0.441816\pi\)
−0.988130 + 0.153618i \(0.950907\pi\)
\(492\) −1.23895 0.442057i −0.0558562 0.0199294i
\(493\) 3.22011 + 9.91049i 0.145027 + 0.446346i
\(494\) 22.6762 26.1698i 1.02025 1.17743i
\(495\) 9.29564 1.89252i 0.417808 0.0850626i
\(496\) 17.1883 + 19.8364i 0.771778 + 0.890679i
\(497\) 6.43560 10.6722i 0.288676 0.478716i
\(498\) −1.21033 1.56958i −0.0542361 0.0703346i
\(499\) −29.0037 + 10.3485i −1.29839 + 0.463263i −0.892659 0.450732i \(-0.851163\pi\)
−0.405726 + 0.913995i \(0.632981\pi\)
\(500\) −0.369667 0.181753i −0.0165320 0.00812824i
\(501\) 2.86101 2.33944i 0.127821 0.104518i
\(502\) −3.31309 16.3507i −0.147870 0.729769i
\(503\) −12.2427 0.700060i −0.545873 0.0312141i −0.218022 0.975944i \(-0.569961\pi\)
−0.327850 + 0.944730i \(0.606324\pi\)
\(504\) 27.4637 25.2059i 1.22333 1.12276i
\(505\) 0.413727 + 2.87753i 0.0184106 + 0.128048i
\(506\) −2.51548 10.7721i −0.111827 0.478878i
\(507\) 0.272273 1.89370i 0.0120921 0.0841022i
\(508\) 2.53664 + 3.70972i 0.112545 + 0.164592i
\(509\) 11.1281 + 28.5823i 0.493245 + 1.26689i 0.930083 + 0.367349i \(0.119734\pi\)
−0.436839 + 0.899540i \(0.643902\pi\)
\(510\) −1.60338 + 2.07930i −0.0709990 + 0.0920731i
\(511\) −21.5452 + 66.3093i −0.953103 + 2.93335i
\(512\) −12.9934 21.5472i −0.574234 0.952261i
\(513\) −5.13125 + 13.1795i −0.226550 + 0.581889i
\(514\) 9.78830 2.27617i 0.431743 0.100398i
\(515\) 7.59446 + 3.20945i 0.334652 + 0.141425i
\(516\) −1.21183 0.778797i −0.0533479 0.0342846i
\(517\) 5.70304 + 19.3563i 0.250819 + 0.851289i
\(518\) 28.3841 18.2414i 1.24713 0.801479i
\(519\) 2.80212 0.484925i 0.122999 0.0212859i
\(520\) 1.10712 + 12.8900i 0.0485506 + 0.565264i
\(521\) −1.02008 + 11.8766i −0.0446906 + 0.520323i 0.939420 + 0.342768i \(0.111364\pi\)
−0.984111 + 0.177556i \(0.943181\pi\)
\(522\) 6.64047 + 1.14918i 0.290646 + 0.0502982i
\(523\) −3.19495 + 1.35020i −0.139705 + 0.0590400i −0.458002 0.888951i \(-0.651435\pi\)
0.318296 + 0.947991i \(0.396889\pi\)
\(524\) −4.70409 + 3.41772i −0.205499 + 0.149304i
\(525\) −1.39581 + 0.788250i −0.0609182 + 0.0344021i
\(526\) −0.388192 13.5885i −0.0169260 0.592487i
\(527\) −46.6864 + 13.7084i −2.03369 + 0.597146i
\(528\) −3.07908 2.10123i −0.134000 0.0914443i
\(529\) 15.3473 + 4.50636i 0.667272 + 0.195929i
\(530\) −2.35104 + 8.94430i −0.102123 + 0.388515i
\(531\) −3.55441 + 17.5417i −0.154248 + 0.761245i
\(532\) −5.32123 10.0849i −0.230705 0.437234i
\(533\) −1.03826 + 36.3437i −0.0449719 + 1.57422i
\(534\) −2.06254 7.84673i −0.0892549 0.339561i
\(535\) −7.86980 + 0.450012i −0.340241 + 0.0194557i
\(536\) 3.19963 3.29235i 0.138203 0.142208i
\(537\) 1.44451 0.710216i 0.0623351 0.0306481i
\(538\) 3.51626 7.69954i 0.151597 0.331951i
\(539\) 16.6931 + 33.8726i 0.719022 + 1.45900i
\(540\) −0.374900 0.820917i −0.0161331 0.0353266i
\(541\) 21.2384 + 17.3666i 0.913110 + 0.746646i 0.967764 0.251859i \(-0.0810419\pi\)
−0.0546539 + 0.998505i \(0.517406\pi\)
\(542\) 17.6506 33.4517i 0.758160 1.43687i
\(543\) −1.78051 1.00550i −0.0764091 0.0431502i
\(544\) 12.6814 1.45505i 0.543710 0.0623850i
\(545\) −13.6628 + 1.56767i −0.585252 + 0.0671514i
\(546\) 7.48705 + 4.22813i 0.320416 + 0.180947i
\(547\) 6.45491 12.2334i 0.275992 0.523063i −0.706884 0.707329i \(-0.749900\pi\)
0.982876 + 0.184266i \(0.0589908\pi\)
\(548\) −2.30821 1.88741i −0.0986017 0.0806262i
\(549\) 2.75066 + 6.02311i 0.117395 + 0.257060i
\(550\) −2.82897 3.07663i −0.120628 0.131188i
\(551\) 5.01407 10.9793i 0.213606 0.467733i
\(552\) −2.69884 + 1.32693i −0.114870 + 0.0564778i
\(553\) −2.13520 + 2.19707i −0.0907981 + 0.0934290i
\(554\) −13.7482 + 0.786150i −0.584105 + 0.0334003i
\(555\) −0.593433 2.25765i −0.0251898 0.0958321i
\(556\) −0.234336 + 8.20282i −0.00993805 + 0.347877i
\(557\) −3.04865 5.77783i −0.129175 0.244815i 0.811334 0.584584i \(-0.198742\pi\)
−0.940509 + 0.339769i \(0.889651\pi\)
\(558\) −6.24922 + 30.8411i −0.264550 + 1.30561i
\(559\) −10.1217 + 38.5070i −0.428103 + 1.62867i
\(560\) −12.3691 3.63189i −0.522689 0.153475i
\(561\) 5.91447 3.57404i 0.249709 0.150896i
\(562\) −24.6601 + 7.24086i −1.04022 + 0.305437i
\(563\) 0.266738 + 9.33703i 0.0112416 + 0.393509i 0.985658 + 0.168757i \(0.0539753\pi\)
−0.974416 + 0.224752i \(0.927843\pi\)
\(564\) 0.815854 0.460734i 0.0343536 0.0194004i
\(565\) −9.41780 + 6.84243i −0.396210 + 0.287863i
\(566\) −2.45690 + 1.03829i −0.103271 + 0.0436427i
\(567\) 32.7937 + 5.67517i 1.37720 + 0.238335i
\(568\) 0.755979 8.80170i 0.0317202 0.369311i
\(569\) −0.504640 5.87542i −0.0211556 0.246310i −0.999269 0.0382364i \(-0.987826\pi\)
0.978113 0.208074i \(-0.0667195\pi\)
\(570\) 2.99680 0.518617i 0.125522 0.0217225i
\(571\) 9.24245 5.93976i 0.386784 0.248571i −0.332769 0.943008i \(-0.607983\pi\)
0.719553 + 0.694437i \(0.244347\pi\)
\(572\) 1.63318 5.58124i 0.0682866 0.233364i
\(573\) −1.46621 0.942276i −0.0612518 0.0393642i
\(574\) −42.5159 17.9673i −1.77458 0.749943i
\(575\) −2.57788 + 0.599460i −0.107505 + 0.0249992i
\(576\) 9.23472 23.7192i 0.384780 0.988299i
\(577\) −10.6508 17.6623i −0.443397 0.735291i 0.551716 0.834032i \(-0.313973\pi\)
−0.995113 + 0.0987406i \(0.968519\pi\)
\(578\) 5.47623 16.8541i 0.227781 0.701039i
\(579\) 6.24883 8.10362i 0.259692 0.336775i
\(580\) 0.279429 + 0.717708i 0.0116027 + 0.0298012i
\(581\) 10.1823 + 14.8912i 0.422433 + 0.617789i
\(582\) −1.06346 + 7.39651i −0.0440817 + 0.306595i
\(583\) 14.2882 19.7045i 0.591759 0.816078i
\(584\) 7.03357 + 48.9196i 0.291051 + 2.02431i
\(585\) −8.96947 + 8.23211i −0.370842 + 0.340356i
\(586\) 3.00446 + 0.171801i 0.124113 + 0.00709705i
\(587\) 7.55602 + 37.2904i 0.311870 + 1.53914i 0.762832 + 0.646597i \(0.223809\pi\)
−0.450961 + 0.892544i \(0.648919\pi\)
\(588\) 1.35739 1.10993i 0.0559777 0.0457727i
\(589\) 50.5770 + 24.8671i 2.08399 + 1.02463i
\(590\) 7.42712 2.64999i 0.305770 0.109098i
\(591\) 4.29366 + 5.56812i 0.176618 + 0.229042i
\(592\) 9.69415 16.0759i 0.398427 0.660717i
\(593\) 19.2869 + 22.2582i 0.792017 + 0.914036i 0.997915 0.0645374i \(-0.0205572\pi\)
−0.205899 + 0.978573i \(0.566012\pi\)
\(594\) −0.531228 9.14128i −0.0217966 0.375071i
\(595\) 15.6498 18.0609i 0.641580 0.740423i
\(596\) 0.0349000 + 0.107411i 0.00142956 + 0.00439973i
\(597\) 1.10534 + 0.394386i 0.0452388 + 0.0161412i
\(598\) 9.89411 + 10.1808i 0.404600 + 0.416324i
\(599\) −6.25930 5.74474i −0.255748 0.234724i 0.538038 0.842921i \(-0.319166\pi\)
−0.793786 + 0.608197i \(0.791893\pi\)
\(600\) −0.641376 + 0.937983i −0.0261841 + 0.0382930i
\(601\) −12.5423 2.91658i −0.511611 0.118970i −0.0372593 0.999306i \(-0.511863\pi\)
−0.474351 + 0.880336i \(0.657317\pi\)
\(602\) −40.8913 29.7093i −1.66661 1.21086i
\(603\) 4.29209 + 0.492472i 0.174788 + 0.0200550i
\(604\) −0.448633 −0.0182546
\(605\) 4.00990 + 10.2431i 0.163026 + 0.416440i
\(606\) 1.36959 0.0556358
\(607\) 28.0341 + 3.21661i 1.13787 + 0.130558i 0.662382 0.749166i \(-0.269545\pi\)
0.475485 + 0.879724i \(0.342273\pi\)
\(608\) −11.9615 8.69051i −0.485101 0.352447i
\(609\) 2.91923 + 0.678839i 0.118293 + 0.0275079i
\(610\) 1.64667 2.40818i 0.0666719 0.0975045i
\(611\) −19.0795 17.5110i −0.771874 0.708420i
\(612\) 4.57657 + 4.70918i 0.184997 + 0.190357i
\(613\) 34.0239 + 12.1397i 1.37421 + 0.490317i 0.916945 0.399013i \(-0.130647\pi\)
0.457265 + 0.889330i \(0.348829\pi\)
\(614\) −0.0941886 0.289883i −0.00380114 0.0116987i
\(615\) −2.09121 + 2.41339i −0.0843259 + 0.0973173i
\(616\) 34.2547 + 26.3636i 1.38016 + 1.06222i
\(617\) −1.92386 2.22025i −0.0774515 0.0893838i 0.715701 0.698407i \(-0.246107\pi\)
−0.793153 + 0.609023i \(0.791562\pi\)
\(618\) 2.00581 3.32627i 0.0806857 0.133802i
\(619\) −21.2659 27.5782i −0.854750 1.10846i −0.993006 0.118063i \(-0.962331\pi\)
0.138256 0.990397i \(-0.455850\pi\)
\(620\) −3.38715 + 1.20853i −0.136031 + 0.0485358i
\(621\) −5.20346 2.55837i −0.208808 0.102664i
\(622\) −5.54240 + 4.53200i −0.222230 + 0.181717i
\(623\) 14.6645 + 72.3724i 0.587522 + 2.89954i
\(624\) 4.77626 + 0.273116i 0.191203 + 0.0109334i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) 0.133492 + 0.928454i 0.00533540 + 0.0371085i
\(627\) −7.84642 1.58231i −0.313356 0.0631915i
\(628\) −1.26154 + 8.77418i −0.0503408 + 0.350128i
\(629\) 19.6431 + 28.7272i 0.783223 + 1.14543i
\(630\) −5.60732 14.4023i −0.223401 0.573801i
\(631\) 9.52510 12.3524i 0.379188 0.491740i −0.563172 0.826340i \(-0.690419\pi\)
0.942360 + 0.334600i \(0.108601\pi\)
\(632\) −0.671097 + 2.06543i −0.0266948 + 0.0821582i
\(633\) −0.0109411 0.0181437i −0.000434868 0.000721147i
\(634\) −3.44826 + 8.85679i −0.136948 + 0.351748i
\(635\) 10.6262 2.47102i 0.421688 0.0980593i
\(636\) −1.04101 0.439935i −0.0412788 0.0174446i
\(637\) −40.7701 26.2013i −1.61537 1.03814i
\(638\) 0.00725137 + 7.81449i 0.000287084 + 0.309379i
\(639\) 6.99346 4.49443i 0.276657 0.177797i
\(640\) −6.53677 + 1.13123i −0.258389 + 0.0447159i
\(641\) 4.02753 + 46.8917i 0.159078 + 1.85211i 0.447095 + 0.894486i \(0.352458\pi\)
−0.288017 + 0.957625i \(0.592996\pi\)
\(642\) −0.317795 + 3.70002i −0.0125424 + 0.146028i
\(643\) 13.2200 + 2.28782i 0.521348 + 0.0902228i 0.425121 0.905137i \(-0.360232\pi\)
0.0962269 + 0.995359i \(0.469323\pi\)
\(644\) 4.30609 1.81977i 0.169684 0.0717090i
\(645\) −2.82910 + 2.05546i −0.111396 + 0.0809337i
\(646\) −39.4805 + 22.2957i −1.55334 + 0.877212i
\(647\) 0.837014 + 29.2993i 0.0329064 + 1.15188i 0.833448 + 0.552598i \(0.186363\pi\)
−0.800542 + 0.599277i \(0.795455\pi\)
\(648\) 22.6359 6.64649i 0.889221 0.261099i
\(649\) −20.7461 0.573403i −0.814357 0.0225080i
\(650\) 5.14667 + 1.51120i 0.201869 + 0.0592741i
\(651\) −3.55772 + 13.5350i −0.139438 + 0.530478i
\(652\) 1.06676 5.26468i 0.0417776 0.206181i
\(653\) −1.69013 3.20314i −0.0661397 0.125349i 0.849140 0.528168i \(-0.177121\pi\)
−0.915279 + 0.402820i \(0.868030\pi\)
\(654\) −0.185015 + 6.47637i −0.00723466 + 0.253246i
\(655\) 3.58839 + 13.6517i 0.140210 + 0.533415i
\(656\) −25.6390 + 1.46609i −1.00104 + 0.0572413i
\(657\) −32.4132 + 33.3524i −1.26456 + 1.30120i
\(658\) 29.5029 14.5056i 1.15014 0.565486i
\(659\) 10.7196 23.4727i 0.417577 0.914365i −0.577605 0.816316i \(-0.696013\pi\)
0.995182 0.0980488i \(-0.0312601\pi\)
\(660\) 0.421348 0.288685i 0.0164009 0.0112370i
\(661\) −3.90766 8.55658i −0.151990 0.332813i 0.818286 0.574811i \(-0.194924\pi\)
−0.970277 + 0.241998i \(0.922197\pi\)
\(662\) 14.4407 + 11.8081i 0.561255 + 0.458936i
\(663\) −4.13875 + 7.84380i −0.160736 + 0.304628i
\(664\) 11.1346 + 6.28801i 0.432107 + 0.244022i
\(665\) −27.5004 + 3.15538i −1.06642 + 0.122360i
\(666\) 22.3598 2.56555i 0.866426 0.0994131i
\(667\) 4.30884 + 2.43331i 0.166839 + 0.0942182i
\(668\) −1.90037 + 3.60161i −0.0735277 + 0.139350i
\(669\) 4.78843 + 3.91548i 0.185131 + 0.151381i
\(670\) −0.790722 1.73144i −0.0305482 0.0668913i
\(671\) −6.33397 + 4.33969i −0.244520 + 0.167532i
\(672\) 1.52513 3.33956i 0.0588330 0.128826i
\(673\) 29.8277 14.6653i 1.14977 0.565305i 0.236089 0.971731i \(-0.424134\pi\)
0.913684 + 0.406426i \(0.133225\pi\)
\(674\) 9.73319 10.0152i 0.374909 0.385772i
\(675\) −2.18726 + 0.125072i −0.0841875 + 0.00481402i
\(676\) 0.535912 + 2.03882i 0.0206120 + 0.0784162i
\(677\) 0.170315 5.96179i 0.00654573 0.229130i −0.989732 0.142933i \(-0.954347\pi\)
0.996278 0.0861973i \(-0.0274715\pi\)
\(678\) 2.55933 + 4.85048i 0.0982906 + 0.186281i
\(679\) 13.5065 66.6571i 0.518331 2.55807i
\(680\) 4.30651 16.3837i 0.165147 0.628284i
\(681\) 1.42619 + 0.418767i 0.0546517 + 0.0160472i
\(682\) −36.4750 1.00813i −1.39670 0.0386034i
\(683\) −5.71098 + 1.67689i −0.218524 + 0.0641646i −0.389162 0.921169i \(-0.627235\pi\)
0.170638 + 0.985334i \(0.445417\pi\)
\(684\) −0.217202 7.60306i −0.00830492 0.290710i
\(685\) −6.30262 + 3.55925i −0.240811 + 0.135992i
\(686\) 19.1729 13.9299i 0.732023 0.531846i
\(687\) −5.81791 + 2.45867i −0.221967 + 0.0938041i
\(688\) −27.7104 4.79548i −1.05645 0.182826i
\(689\) −2.67310 + 31.1224i −0.101837 + 1.18567i
\(690\) 0.106702 + 1.24231i 0.00406208 + 0.0472940i
\(691\) 31.1753 5.39510i 1.18597 0.205239i 0.456795 0.889572i \(-0.348997\pi\)
0.729170 + 0.684333i \(0.239906\pi\)
\(692\) −2.63605 + 1.69408i −0.100207 + 0.0643994i
\(693\) 0.0377450 + 40.6762i 0.00143381 + 1.54516i
\(694\) 22.8489 + 14.6841i 0.867332 + 0.557400i
\(695\) 18.3499 + 7.75473i 0.696051 + 0.294154i
\(696\) 2.06932 0.481199i 0.0784372 0.0182398i
\(697\) 17.2724 44.3637i 0.654238 1.68040i
\(698\) 16.8549 + 27.9508i 0.637969 + 1.05795i
\(699\) −1.41059 + 4.34134i −0.0533533 + 0.164205i
\(700\) 1.07859 1.39874i 0.0407670 0.0528676i
\(701\) −4.52721 11.6281i −0.170990 0.439185i 0.820126 0.572183i \(-0.193903\pi\)
−0.991116 + 0.132998i \(0.957540\pi\)
\(702\) 6.63304 + 9.70052i 0.250348 + 0.366122i
\(703\) 5.73667 39.8994i 0.216363 1.50484i
\(704\) 28.9325 + 5.83453i 1.09043 + 0.219897i
\(705\) −0.323702 2.25140i −0.0121913 0.0847926i
\(706\) −26.1193 + 23.9721i −0.983014 + 0.902202i
\(707\) −12.4450 0.711633i −0.468044 0.0267637i
\(708\) 0.191374 + 0.944469i 0.00719228 + 0.0354953i
\(709\) 11.2504 9.19940i 0.422518 0.345491i −0.397727 0.917504i \(-0.630201\pi\)
0.820245 + 0.572013i \(0.193837\pi\)
\(710\) −3.28687 1.61605i −0.123354 0.0606492i
\(711\) −1.92480 + 0.686766i −0.0721856 + 0.0257558i
\(712\) 31.9638 + 41.4514i 1.19790 + 1.55346i
\(713\) −11.9320 + 19.7870i −0.446857 + 0.741028i
\(714\) −7.37288 8.50876i −0.275923 0.318432i
\(715\) −11.1874 8.61021i −0.418384 0.322004i
\(716\) −1.16149 + 1.34043i −0.0434069 + 0.0500942i
\(717\) −1.08994 3.35448i −0.0407044 0.125275i
\(718\) −29.2078 10.4213i −1.09003 0.388921i
\(719\) −21.9393 22.5750i −0.818196 0.841904i 0.171486 0.985187i \(-0.445143\pi\)
−0.989682 + 0.143283i \(0.954234\pi\)
\(720\) −6.33536 5.81454i −0.236105 0.216695i
\(721\) −19.9545 + 29.1825i −0.743145 + 1.08681i
\(722\) 27.8321 + 6.47209i 1.03581 + 0.240866i
\(723\) −8.32682 6.04979i −0.309678 0.224994i
\(724\) 2.23844 + 0.256837i 0.0831910 + 0.00954527i
\(725\) 1.86969 0.0694386
\(726\) 5.04541 1.18313i 0.187253 0.0439102i
\(727\) −35.2951 −1.30902 −0.654512 0.756052i \(-0.727126\pi\)
−0.654512 + 0.756052i \(0.727126\pi\)
\(728\) −55.1126 6.32358i −2.04261 0.234368i
\(729\) 15.9726 + 11.6047i 0.591576 + 0.429805i
\(730\) 19.9584 + 4.64112i 0.738692 + 0.171775i
\(731\) 29.4263 43.0347i 1.08837 1.59169i
\(732\) 0.262655 + 0.241063i 0.00970801 + 0.00890994i
\(733\) 10.9032 + 11.2191i 0.402719 + 0.414388i 0.887908 0.460021i \(-0.152158\pi\)
−0.485189 + 0.874409i \(0.661249\pi\)
\(734\) 28.6341 + 10.2166i 1.05690 + 0.377102i
\(735\) −1.31535 4.04822i −0.0485173 0.149321i
\(736\) 3.96950 4.58105i 0.146318 0.168860i
\(737\) 0.290633 + 5.00116i 0.0107056 + 0.184220i
\(738\) −20.1624 23.2687i −0.742189 0.856531i
\(739\) −8.73495 + 14.4853i −0.321320 + 0.532850i −0.974510 0.224345i \(-0.927976\pi\)
0.653190 + 0.757194i \(0.273430\pi\)
\(740\) 1.57068 + 2.03689i 0.0577393 + 0.0748777i
\(741\) 9.67520 3.45210i 0.355427 0.126816i
\(742\) −35.5861 17.4965i −1.30641 0.642318i
\(743\) 24.8584 20.3266i 0.911965 0.745710i −0.0555676 0.998455i \(-0.517697\pi\)
0.967533 + 0.252744i \(0.0813332\pi\)
\(744\) 1.97007 + 9.72267i 0.0722262 + 0.356450i
\(745\) 0.273721 + 0.0156520i 0.0100284 + 0.000573443i
\(746\) −17.0290 + 15.6291i −0.623478 + 0.572222i
\(747\) 1.71252 + 11.9109i 0.0626580 + 0.435796i
\(748\) −4.46996 + 6.16439i −0.163438 + 0.225393i
\(749\) 4.81022 33.4558i 0.175762 1.22245i
\(750\) 0.265918 + 0.388893i 0.00970996 + 0.0142004i
\(751\) 12.4358 + 31.9412i 0.453790 + 1.16555i 0.954043 + 0.299670i \(0.0968766\pi\)
−0.500253 + 0.865879i \(0.666760\pi\)
\(752\) 11.1698 14.4853i 0.407322 0.528225i
\(753\) 1.52938 4.70695i 0.0557337 0.171531i
\(754\) −5.17891 8.58826i −0.188605 0.312766i
\(755\) −0.395132 + 1.01489i −0.0143803 + 0.0369356i
\(756\) 3.76912 0.876470i 0.137081 0.0318769i
\(757\) 0.200652 + 0.0847963i 0.00729283 + 0.00308197i 0.392913 0.919575i \(-0.371467\pi\)
−0.385621 + 0.922657i \(0.626013\pi\)
\(758\) −5.38959 3.46368i −0.195759 0.125807i
\(759\) 0.921616 3.14955i 0.0334526 0.114321i
\(760\) −16.5069 + 10.6083i −0.598767 + 0.384804i
\(761\) 27.8712 4.82329i 1.01033 0.174844i 0.358757 0.933431i \(-0.383201\pi\)
0.651572 + 0.758587i \(0.274110\pi\)
\(762\) −0.439834 5.12089i −0.0159335 0.185510i
\(763\) 5.04626 58.7526i 0.182687 2.12699i
\(764\) 1.89232 + 0.327478i 0.0684616 + 0.0118477i
\(765\) 14.6838 6.20543i 0.530895 0.224358i
\(766\) −7.14255 + 5.18937i −0.258071 + 0.187499i
\(767\) 23.1925 13.0974i 0.837434 0.472920i
\(768\) −0.100758 3.52698i −0.00363579 0.127269i
\(769\) −20.8876 + 6.13316i −0.753226 + 0.221167i −0.635736 0.771907i \(-0.719303\pi\)
−0.117491 + 0.993074i \(0.537485\pi\)
\(770\) 15.3384 9.26882i 0.552758 0.334025i
\(771\) 2.86051 + 0.839921i 0.103019 + 0.0302490i
\(772\) −2.86646 + 10.9052i −0.103166 + 0.392485i
\(773\)