Properties

Label 225.2.q.a.106.22
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.22
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.22

$q$-expansion

\(f(q)\) \(=\) \(q+(1.62705 + 0.345839i) q^{2} +(1.73185 - 0.0263451i) q^{3} +(0.700584 + 0.311920i) q^{4} +(-0.380412 + 2.20347i) q^{5} +(2.82691 + 0.556077i) q^{6} +(0.694163 - 1.20233i) q^{7} +(-1.65942 - 1.20564i) q^{8} +(2.99861 - 0.0912516i) q^{9} +O(q^{10})\) \(q+(1.62705 + 0.345839i) q^{2} +(1.73185 - 0.0263451i) q^{3} +(0.700584 + 0.311920i) q^{4} +(-0.380412 + 2.20347i) q^{5} +(2.82691 + 0.556077i) q^{6} +(0.694163 - 1.20233i) q^{7} +(-1.65942 - 1.20564i) q^{8} +(2.99861 - 0.0912516i) q^{9} +(-1.38100 + 3.45359i) q^{10} +(-4.44787 - 0.945423i) q^{11} +(1.22152 + 0.521742i) q^{12} +(-0.664131 + 0.141165i) q^{13} +(1.54525 - 1.71617i) q^{14} +(-0.600766 + 3.82611i) q^{15} +(-3.30929 - 3.67534i) q^{16} +(-1.73545 - 1.26088i) q^{17} +(4.91044 + 0.888568i) q^{18} +(5.56870 + 4.04590i) q^{19} +(-0.953818 + 1.42506i) q^{20} +(1.17051 - 2.10054i) q^{21} +(-6.90992 - 3.07649i) q^{22} +(-0.0716950 + 0.0796254i) q^{23} +(-2.90563 - 2.04427i) q^{24} +(-4.71057 - 1.67645i) q^{25} -1.12939 q^{26} +(5.19074 - 0.237033i) q^{27} +(0.861350 - 0.625807i) q^{28} +(-0.214650 - 2.04226i) q^{29} +(-2.30069 + 6.01748i) q^{30} +(0.675922 - 6.43096i) q^{31} +(-2.06213 - 3.57172i) q^{32} +(-7.72795 - 1.52015i) q^{33} +(-2.38760 - 2.65170i) q^{34} +(2.38522 + 1.98695i) q^{35} +(2.12924 + 0.871398i) q^{36} +(-0.886060 + 2.72701i) q^{37} +(7.66130 + 8.50874i) q^{38} +(-1.14646 + 0.261974i) q^{39} +(3.28786 - 3.19785i) q^{40} +(-5.31403 + 1.12953i) q^{41} +(2.63092 - 3.01286i) q^{42} +(-0.613014 + 1.06177i) q^{43} +(-2.82121 - 2.04973i) q^{44} +(-0.939638 + 6.64207i) q^{45} +(-0.144189 + 0.104759i) q^{46} +(1.23665 + 11.7660i) q^{47} +(-5.82802 - 6.27796i) q^{48} +(2.53627 + 4.39296i) q^{49} +(-7.08454 - 4.35677i) q^{50} +(-3.03876 - 2.13793i) q^{51} +(-0.509312 - 0.108258i) q^{52} +(-1.07586 + 0.781661i) q^{53} +(8.52756 + 1.40950i) q^{54} +(3.77524 - 9.44110i) q^{55} +(-2.60148 + 1.15825i) q^{56} +(9.75074 + 6.86018i) q^{57} +(0.357048 - 3.39709i) q^{58} +(1.69407 - 0.360086i) q^{59} +(-1.61433 + 2.49312i) q^{60} +(3.69259 + 0.784884i) q^{61} +(3.32384 - 10.2297i) q^{62} +(1.97181 - 3.66865i) q^{63} +(0.936638 + 2.88268i) q^{64} +(-0.0584104 - 1.51709i) q^{65} +(-12.0480 - 5.14599i) q^{66} +(1.48608 - 14.1391i) q^{67} +(-0.822536 - 1.42467i) q^{68} +(-0.122067 + 0.139788i) q^{69} +(3.19370 + 4.05776i) q^{70} +(-10.9600 + 7.96294i) q^{71} +(-5.08598 - 3.46382i) q^{72} +(-1.83085 - 5.63478i) q^{73} +(-2.38477 + 4.13054i) q^{74} +(-8.20217 - 2.77927i) q^{75} +(2.63935 + 4.57148i) q^{76} +(-4.22425 + 4.69151i) q^{77} +(-1.95594 + 0.0297540i) q^{78} +(0.938478 + 8.92902i) q^{79} +(9.35740 - 5.89378i) q^{80} +(8.98335 - 0.547256i) q^{81} -9.03682 q^{82} +(16.5673 - 7.37623i) q^{83} +(1.47524 - 1.10650i) q^{84} +(3.43850 - 3.34436i) q^{85} +(-1.36460 + 1.51555i) q^{86} +(-0.425545 - 3.53123i) q^{87} +(6.24105 + 6.93138i) q^{88} +(2.33361 + 7.18212i) q^{89} +(-3.82592 + 10.4820i) q^{90} +(-0.291288 + 0.896494i) q^{91} +(-0.0750652 + 0.0334212i) q^{92} +(1.00117 - 11.1553i) q^{93} +(-2.05704 + 19.5715i) q^{94} +(-11.0334 + 10.7314i) q^{95} +(-3.66541 - 6.13136i) q^{96} +(-1.13640 - 10.8121i) q^{97} +(2.60738 + 8.02469i) q^{98} +(-13.4237 - 2.42908i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.62705 + 0.345839i 1.15050 + 0.244545i 0.743404 0.668842i \(-0.233210\pi\)
0.407091 + 0.913388i \(0.366543\pi\)
\(3\) 1.73185 0.0263451i 0.999884 0.0152104i
\(4\) 0.700584 + 0.311920i 0.350292 + 0.155960i
\(5\) −0.380412 + 2.20347i −0.170126 + 0.985422i
\(6\) 2.82691 + 0.556077i 1.15408 + 0.227018i
\(7\) 0.694163 1.20233i 0.262369 0.454436i −0.704502 0.709702i \(-0.748830\pi\)
0.966871 + 0.255266i \(0.0821629\pi\)
\(8\) −1.65942 1.20564i −0.586694 0.426258i
\(9\) 2.99861 0.0912516i 0.999537 0.0304172i
\(10\) −1.38100 + 3.45359i −0.436709 + 1.09212i
\(11\) −4.44787 0.945423i −1.34108 0.285056i −0.519170 0.854671i \(-0.673759\pi\)
−0.821912 + 0.569615i \(0.807092\pi\)
\(12\) 1.22152 + 0.521742i 0.352624 + 0.150614i
\(13\) −0.664131 + 0.141165i −0.184197 + 0.0391522i −0.299086 0.954226i \(-0.596682\pi\)
0.114890 + 0.993378i \(0.463349\pi\)
\(14\) 1.54525 1.71617i 0.412985 0.458666i
\(15\) −0.600766 + 3.82611i −0.155117 + 0.987896i
\(16\) −3.30929 3.67534i −0.827323 0.918835i
\(17\) −1.73545 1.26088i −0.420909 0.305808i 0.357095 0.934068i \(-0.383767\pi\)
−0.778003 + 0.628260i \(0.783767\pi\)
\(18\) 4.91044 + 0.888568i 1.15740 + 0.209437i
\(19\) 5.56870 + 4.04590i 1.27755 + 0.928192i 0.999476 0.0323680i \(-0.0103049\pi\)
0.278071 + 0.960560i \(0.410305\pi\)
\(20\) −0.953818 + 1.42506i −0.213280 + 0.318653i
\(21\) 1.17051 2.10054i 0.255427 0.458375i
\(22\) −6.90992 3.07649i −1.47320 0.655911i
\(23\) −0.0716950 + 0.0796254i −0.0149494 + 0.0166030i −0.750573 0.660787i \(-0.770223\pi\)
0.735624 + 0.677390i \(0.236889\pi\)
\(24\) −2.90563 2.04427i −0.593110 0.417285i
\(25\) −4.71057 1.67645i −0.942115 0.335291i
\(26\) −1.12939 −0.221492
\(27\) 5.19074 0.237033i 0.998959 0.0456170i
\(28\) 0.861350 0.625807i 0.162780 0.118266i
\(29\) −0.214650 2.04226i −0.0398595 0.379238i −0.996208 0.0870081i \(-0.972269\pi\)
0.956348 0.292230i \(-0.0943973\pi\)
\(30\) −2.30069 + 6.01748i −0.420047 + 1.09864i
\(31\) 0.675922 6.43096i 0.121399 1.15504i −0.748959 0.662616i \(-0.769446\pi\)
0.870358 0.492419i \(-0.163887\pi\)
\(32\) −2.06213 3.57172i −0.364537 0.631397i
\(33\) −7.72795 1.52015i −1.34526 0.264625i
\(34\) −2.38760 2.65170i −0.409470 0.454762i
\(35\) 2.38522 + 1.98695i 0.403176 + 0.335856i
\(36\) 2.12924 + 0.871398i 0.354874 + 0.145233i
\(37\) −0.886060 + 2.72701i −0.145667 + 0.448318i −0.997096 0.0761520i \(-0.975737\pi\)
0.851429 + 0.524470i \(0.175737\pi\)
\(38\) 7.66130 + 8.50874i 1.24283 + 1.38030i
\(39\) −1.14646 + 0.261974i −0.183580 + 0.0419494i
\(40\) 3.28786 3.19785i 0.519856 0.505624i
\(41\) −5.31403 + 1.12953i −0.829913 + 0.176403i −0.603232 0.797566i \(-0.706121\pi\)
−0.226681 + 0.973969i \(0.572787\pi\)
\(42\) 2.63092 3.01286i 0.405960 0.464895i
\(43\) −0.613014 + 1.06177i −0.0934837 + 0.161919i −0.908975 0.416851i \(-0.863134\pi\)
0.815491 + 0.578770i \(0.196467\pi\)
\(44\) −2.82121 2.04973i −0.425313 0.309008i
\(45\) −0.939638 + 6.64207i −0.140073 + 0.990141i
\(46\) −0.144189 + 0.104759i −0.0212595 + 0.0154459i
\(47\) 1.23665 + 11.7660i 0.180385 + 1.71624i 0.592885 + 0.805287i \(0.297989\pi\)
−0.412501 + 0.910957i \(0.635345\pi\)
\(48\) −5.82802 6.27796i −0.841203 0.906145i
\(49\) 2.53627 + 4.39296i 0.362325 + 0.627565i
\(50\) −7.08454 4.35677i −1.00190 0.616141i
\(51\) −3.03876 2.13793i −0.425512 0.299371i
\(52\) −0.509312 0.108258i −0.0706289 0.0150126i
\(53\) −1.07586 + 0.781661i −0.147781 + 0.107369i −0.659219 0.751951i \(-0.729113\pi\)
0.511438 + 0.859320i \(0.329113\pi\)
\(54\) 8.52756 + 1.40950i 1.16045 + 0.191809i
\(55\) 3.77524 9.44110i 0.509053 1.27304i
\(56\) −2.60148 + 1.15825i −0.347638 + 0.154778i
\(57\) 9.75074 + 6.86018i 1.29152 + 0.908653i
\(58\) 0.357048 3.39709i 0.0468827 0.446059i
\(59\) 1.69407 0.360086i 0.220549 0.0468792i −0.0963115 0.995351i \(-0.530705\pi\)
0.316861 + 0.948472i \(0.397371\pi\)
\(60\) −1.61433 + 2.49312i −0.208409 + 0.321860i
\(61\) 3.69259 + 0.784884i 0.472788 + 0.100494i 0.438142 0.898906i \(-0.355637\pi\)
0.0346452 + 0.999400i \(0.488970\pi\)
\(62\) 3.32384 10.2297i 0.422128 1.29918i
\(63\) 1.97181 3.66865i 0.248425 0.462207i
\(64\) 0.936638 + 2.88268i 0.117080 + 0.360334i
\(65\) −0.0584104 1.51709i −0.00724492 0.188172i
\(66\) −12.0480 5.14599i −1.48301 0.633427i
\(67\) 1.48608 14.1391i 0.181553 1.72737i −0.402301 0.915508i \(-0.631789\pi\)
0.583854 0.811858i \(-0.301544\pi\)
\(68\) −0.822536 1.42467i −0.0997472 0.172767i
\(69\) −0.122067 + 0.139788i −0.0146952 + 0.0168285i
\(70\) 3.19370 + 4.05776i 0.381721 + 0.484995i
\(71\) −10.9600 + 7.96294i −1.30072 + 0.945027i −0.999962 0.00867479i \(-0.997239\pi\)
−0.300755 + 0.953701i \(0.597239\pi\)
\(72\) −5.08598 3.46382i −0.599388 0.408215i
\(73\) −1.83085 5.63478i −0.214285 0.659501i −0.999204 0.0399023i \(-0.987295\pi\)
0.784919 0.619599i \(-0.212705\pi\)
\(74\) −2.38477 + 4.13054i −0.277224 + 0.480166i
\(75\) −8.20217 2.77927i −0.947106 0.320922i
\(76\) 2.63935 + 4.57148i 0.302754 + 0.524385i
\(77\) −4.22425 + 4.69151i −0.481398 + 0.534647i
\(78\) −1.95594 + 0.0297540i −0.221466 + 0.00336897i
\(79\) 0.938478 + 8.92902i 0.105587 + 1.00459i 0.911148 + 0.412080i \(0.135198\pi\)
−0.805561 + 0.592513i \(0.798136\pi\)
\(80\) 9.35740 5.89378i 1.04619 0.658945i
\(81\) 8.98335 0.547256i 0.998150 0.0608062i
\(82\) −9.03682 −0.997950
\(83\) 16.5673 7.37623i 1.81850 0.809647i 0.869844 0.493327i \(-0.164219\pi\)
0.948653 0.316320i \(-0.102447\pi\)
\(84\) 1.47524 1.10650i 0.160962 0.120729i
\(85\) 3.43850 3.34436i 0.372958 0.362747i
\(86\) −1.36460 + 1.51555i −0.147149 + 0.163426i
\(87\) −0.425545 3.53123i −0.0456233 0.378588i
\(88\) 6.24105 + 6.93138i 0.665298 + 0.738888i
\(89\) 2.33361 + 7.18212i 0.247363 + 0.761304i 0.995239 + 0.0974656i \(0.0310736\pi\)
−0.747876 + 0.663838i \(0.768926\pi\)
\(90\) −3.82592 + 10.4820i −0.403288 + 1.10490i
\(91\) −0.291288 + 0.896494i −0.0305353 + 0.0939781i
\(92\) −0.0750652 + 0.0334212i −0.00782608 + 0.00348440i
\(93\) 1.00117 11.1553i 0.103817 1.15675i
\(94\) −2.05704 + 19.5715i −0.212168 + 2.01864i
\(95\) −11.0334 + 10.7314i −1.13200 + 1.10101i
\(96\) −3.66541 6.13136i −0.374099 0.625779i
\(97\) −1.13640 10.8121i −0.115384 1.09781i −0.887017 0.461737i \(-0.847226\pi\)
0.771633 0.636068i \(-0.219440\pi\)
\(98\) 2.60738 + 8.02469i 0.263385 + 0.810616i
\(99\) −13.4237 2.42908i −1.34913 0.244132i
\(100\) −2.77723 2.64382i −0.277723 0.264382i
\(101\) −6.10657 + 10.5769i −0.607626 + 1.05244i 0.384004 + 0.923331i \(0.374545\pi\)
−0.991630 + 0.129108i \(0.958788\pi\)
\(102\) −4.20482 4.52944i −0.416340 0.448481i
\(103\) −0.775688 0.345359i −0.0764309 0.0340292i 0.368165 0.929760i \(-0.379986\pi\)
−0.444596 + 0.895731i \(0.646653\pi\)
\(104\) 1.27227 + 0.566450i 0.124756 + 0.0555450i
\(105\) 4.18320 + 3.37826i 0.408238 + 0.329684i
\(106\) −2.02081 + 0.899723i −0.196278 + 0.0873888i
\(107\) 19.0764 1.84419 0.922095 0.386964i \(-0.126476\pi\)
0.922095 + 0.386964i \(0.126476\pi\)
\(108\) 3.71049 + 1.45304i 0.357042 + 0.139818i
\(109\) 4.05014 12.4651i 0.387933 1.19394i −0.546397 0.837526i \(-0.684001\pi\)
0.934330 0.356409i \(-0.115999\pi\)
\(110\) 9.40759 14.0555i 0.896978 1.34014i
\(111\) −1.46268 + 4.74612i −0.138831 + 0.450482i
\(112\) −6.71614 + 1.42756i −0.634616 + 0.134892i
\(113\) 6.81089 1.44770i 0.640714 0.136188i 0.123913 0.992293i \(-0.460456\pi\)
0.516802 + 0.856105i \(0.327122\pi\)
\(114\) 13.4924 + 14.5340i 1.26368 + 1.36124i
\(115\) −0.148179 0.188268i −0.0138177 0.0175561i
\(116\) 0.486642 1.49773i 0.0451835 0.139061i
\(117\) −1.97859 + 0.483903i −0.182921 + 0.0447369i
\(118\) 2.88087 0.265205
\(119\) −2.72067 + 1.21132i −0.249404 + 0.111042i
\(120\) 5.60983 5.62481i 0.512105 0.513473i
\(121\) 8.84069 + 3.93613i 0.803699 + 0.357830i
\(122\) 5.73657 + 2.55409i 0.519365 + 0.231236i
\(123\) −9.17336 + 2.09618i −0.827134 + 0.189006i
\(124\) 2.47949 4.29460i 0.222665 0.385666i
\(125\) 5.48598 9.74187i 0.490681 0.871339i
\(126\) 4.47699 5.28714i 0.398842 0.471016i
\(127\) 6.85641 + 21.1019i 0.608408 + 1.87249i 0.471407 + 0.881916i \(0.343746\pi\)
0.137000 + 0.990571i \(0.456254\pi\)
\(128\) 1.38922 + 13.2175i 0.122791 + 1.16828i
\(129\) −1.03368 + 1.85498i −0.0910101 + 0.163322i
\(130\) 0.429635 2.48858i 0.0376814 0.218263i
\(131\) 1.21480 11.5581i 0.106138 1.00983i −0.803747 0.594972i \(-0.797163\pi\)
0.909885 0.414862i \(-0.136170\pi\)
\(132\) −4.93991 3.47550i −0.429964 0.302503i
\(133\) 8.73007 3.88688i 0.756993 0.337035i
\(134\) 7.30778 22.4910i 0.631296 1.94293i
\(135\) −1.45233 + 11.5278i −0.124996 + 0.992157i
\(136\) 1.35968 + 4.18466i 0.116591 + 0.358832i
\(137\) −11.0828 12.3087i −0.946869 1.05160i −0.998598 0.0529430i \(-0.983140\pi\)
0.0517289 0.998661i \(-0.483527\pi\)
\(138\) −0.246953 + 0.185226i −0.0210221 + 0.0157675i
\(139\) −11.2616 + 12.5073i −0.955198 + 1.06085i 0.0428925 + 0.999080i \(0.486343\pi\)
−0.998090 + 0.0617748i \(0.980324\pi\)
\(140\) 1.05128 + 2.13602i 0.0888494 + 0.180527i
\(141\) 2.45168 + 20.3443i 0.206468 + 1.71330i
\(142\) −20.5864 + 9.16565i −1.72757 + 0.769164i
\(143\) 3.08743 0.258184
\(144\) −10.2587 10.7189i −0.854888 0.893245i
\(145\) 4.58172 + 0.303925i 0.380491 + 0.0252396i
\(146\) −1.03015 9.80123i −0.0852559 0.811155i
\(147\) 4.50818 + 7.54113i 0.371829 + 0.621982i
\(148\) −1.47137 + 1.63412i −0.120946 + 0.134324i
\(149\) −7.97992 13.8216i −0.653740 1.13231i −0.982208 0.187796i \(-0.939865\pi\)
0.328468 0.944515i \(-0.393468\pi\)
\(150\) −12.3841 7.35863i −1.01116 0.600830i
\(151\) −4.20769 + 7.28793i −0.342417 + 0.593084i −0.984881 0.173232i \(-0.944579\pi\)
0.642464 + 0.766316i \(0.277912\pi\)
\(152\) −4.36292 13.4277i −0.353880 1.08913i
\(153\) −5.31900 3.62253i −0.430016 0.292864i
\(154\) −8.49556 + 6.17239i −0.684592 + 0.497385i
\(155\) 13.9133 + 3.93579i 1.11754 + 0.316130i
\(156\) −0.884904 0.174068i −0.0708490 0.0139366i
\(157\) 0.0425739 + 0.0737402i 0.00339777 + 0.00588511i 0.867719 0.497055i \(-0.165585\pi\)
−0.864322 + 0.502940i \(0.832252\pi\)
\(158\) −1.56106 + 14.8525i −0.124191 + 1.18160i
\(159\) −1.84264 + 1.38206i −0.146131 + 0.109605i
\(160\) 8.65465 3.18513i 0.684210 0.251806i
\(161\) 0.0459676 + 0.141474i 0.00362275 + 0.0111497i
\(162\) 14.8056 + 2.21638i 1.16324 + 0.174136i
\(163\) 3.81218 11.7327i 0.298593 0.918974i −0.683398 0.730046i \(-0.739499\pi\)
0.981991 0.188928i \(-0.0605013\pi\)
\(164\) −4.07525 0.866222i −0.318224 0.0676406i
\(165\) 6.28942 16.4500i 0.489630 1.28063i
\(166\) 29.5067 6.27185i 2.29017 0.486790i
\(167\) 0.700044 6.66047i 0.0541710 0.515403i −0.933468 0.358660i \(-0.883234\pi\)
0.987639 0.156743i \(-0.0500994\pi\)
\(168\) −4.47486 + 2.07446i −0.345243 + 0.160048i
\(169\) −11.4549 + 5.10007i −0.881150 + 0.392313i
\(170\) 6.75121 4.25227i 0.517794 0.326134i
\(171\) 17.0676 + 11.6239i 1.30519 + 0.888904i
\(172\) −0.760656 + 0.552649i −0.0579995 + 0.0421391i
\(173\) −11.2482 2.39087i −0.855181 0.181774i −0.240596 0.970625i \(-0.577343\pi\)
−0.614585 + 0.788851i \(0.710676\pi\)
\(174\) 0.528857 5.89265i 0.0400926 0.446721i
\(175\) −5.28555 + 4.49991i −0.399550 + 0.340161i
\(176\) 11.2445 + 19.4761i 0.847588 + 1.46807i
\(177\) 2.92439 0.668246i 0.219811 0.0502284i
\(178\) 1.31304 + 12.4927i 0.0984162 + 0.936368i
\(179\) −3.97320 + 2.88670i −0.296971 + 0.215762i −0.726286 0.687393i \(-0.758755\pi\)
0.429315 + 0.903155i \(0.358755\pi\)
\(180\) −2.73009 + 4.36024i −0.203489 + 0.324993i
\(181\) −1.69167 1.22907i −0.125741 0.0913562i 0.523137 0.852248i \(-0.324762\pi\)
−0.648878 + 0.760892i \(0.724762\pi\)
\(182\) −0.783983 + 1.35790i −0.0581127 + 0.100654i
\(183\) 6.41569 + 1.26202i 0.474261 + 0.0932912i
\(184\) 0.214972 0.0456937i 0.0158479 0.00336858i
\(185\) −5.67183 2.98980i −0.417001 0.219814i
\(186\) 5.48688 17.8039i 0.402318 1.30545i
\(187\) 6.52699 + 7.24896i 0.477301 + 0.530096i
\(188\) −2.80367 + 8.62880i −0.204478 + 0.629320i
\(189\) 3.31823 6.40550i 0.241366 0.465932i
\(190\) −21.6632 + 13.6446i −1.57161 + 0.989886i
\(191\) 6.87172 + 7.63182i 0.497220 + 0.552219i 0.938558 0.345122i \(-0.112162\pi\)
−0.441337 + 0.897341i \(0.645496\pi\)
\(192\) 1.69806 + 4.96769i 0.122547 + 0.358512i
\(193\) 0.879316 + 1.52302i 0.0632945 + 0.109629i 0.895936 0.444183i \(-0.146506\pi\)
−0.832642 + 0.553812i \(0.813173\pi\)
\(194\) 1.89028 17.9848i 0.135714 1.29124i
\(195\) −0.141126 2.62584i −0.0101062 0.188040i
\(196\) 0.406622 + 3.86875i 0.0290444 + 0.276339i
\(197\) 1.28192 0.931373i 0.0913333 0.0663576i −0.541181 0.840906i \(-0.682023\pi\)
0.632515 + 0.774548i \(0.282023\pi\)
\(198\) −21.0009 8.59467i −1.49247 0.610797i
\(199\) −4.83781 −0.342943 −0.171471 0.985189i \(-0.554852\pi\)
−0.171471 + 0.985189i \(0.554852\pi\)
\(200\) 5.79563 + 8.46120i 0.409813 + 0.598297i
\(201\) 2.20117 24.5260i 0.155259 1.72993i
\(202\) −13.5936 + 15.0972i −0.956441 + 1.06224i
\(203\) −2.60446 1.15958i −0.182798 0.0813867i
\(204\) −1.46204 2.44565i −0.102364 0.171230i
\(205\) −0.467370 12.1390i −0.0326425 0.847825i
\(206\) −1.14264 0.830178i −0.0796117 0.0578413i
\(207\) −0.207720 + 0.245308i −0.0144375 + 0.0170501i
\(208\) 2.71663 + 1.97375i 0.188365 + 0.136855i
\(209\) −20.9437 23.2604i −1.44871 1.60895i
\(210\) 5.63792 + 6.94330i 0.389053 + 0.479133i
\(211\) −2.87300 + 3.19079i −0.197785 + 0.219663i −0.833877 0.551951i \(-0.813884\pi\)
0.636091 + 0.771614i \(0.280550\pi\)
\(212\) −0.997550 + 0.212036i −0.0685120 + 0.0145627i
\(213\) −18.7714 + 14.0794i −1.28619 + 0.964702i
\(214\) 31.0383 + 6.59739i 2.12173 + 0.450988i
\(215\) −2.10638 1.75467i −0.143654 0.119667i
\(216\) −8.89941 5.86483i −0.605528 0.399051i
\(217\) −7.26291 5.27682i −0.493039 0.358214i
\(218\) 10.9007 18.8805i 0.738287 1.27875i
\(219\) −3.31921 9.71036i −0.224291 0.656165i
\(220\) 5.58974 5.43671i 0.376860 0.366543i
\(221\) 1.33056 + 0.592403i 0.0895031 + 0.0398494i
\(222\) −4.02125 + 7.21631i −0.269888 + 0.484327i
\(223\) −15.8538 3.36984i −1.06165 0.225661i −0.356193 0.934412i \(-0.615926\pi\)
−0.705459 + 0.708751i \(0.749259\pi\)
\(224\) −5.72583 −0.382573
\(225\) −14.2782 4.59719i −0.951877 0.306479i
\(226\) 11.5823 0.770443
\(227\) −9.01077 1.91530i −0.598066 0.127123i −0.101075 0.994879i \(-0.532228\pi\)
−0.496990 + 0.867756i \(0.665562\pi\)
\(228\) 4.69139 + 7.84759i 0.310695 + 0.519719i
\(229\) −7.49545 3.33719i −0.495314 0.220528i 0.143849 0.989600i \(-0.454052\pi\)
−0.639162 + 0.769072i \(0.720719\pi\)
\(230\) −0.175983 0.357567i −0.0116040 0.0235773i
\(231\) −7.19217 + 8.23628i −0.473210 + 0.541907i
\(232\) −2.10604 + 3.64776i −0.138268 + 0.239487i
\(233\) −6.70215 4.86940i −0.439073 0.319005i 0.346194 0.938163i \(-0.387474\pi\)
−0.785266 + 0.619158i \(0.787474\pi\)
\(234\) −3.38661 + 0.103059i −0.221390 + 0.00673717i
\(235\) −26.3964 1.75099i −1.72191 0.114222i
\(236\) 1.29916 + 0.276145i 0.0845680 + 0.0179755i
\(237\) 1.86054 + 15.4390i 0.120855 + 1.00287i
\(238\) −4.84559 + 1.02996i −0.314093 + 0.0667625i
\(239\) 0.722110 0.801984i 0.0467094 0.0518760i −0.719337 0.694661i \(-0.755554\pi\)
0.766047 + 0.642785i \(0.222221\pi\)
\(240\) 16.0503 10.4537i 1.03605 0.674782i
\(241\) −16.7927 18.6502i −1.08172 1.20137i −0.978401 0.206718i \(-0.933722\pi\)
−0.103315 0.994649i \(-0.532945\pi\)
\(242\) 13.0229 + 9.46173i 0.837147 + 0.608223i
\(243\) 15.5434 1.18443i 0.997109 0.0759814i
\(244\) 2.34215 + 1.70167i 0.149941 + 0.108938i
\(245\) −10.6446 + 3.91748i −0.680058 + 0.250278i
\(246\) −15.6504 + 0.238076i −0.997834 + 0.0151792i
\(247\) −4.26949 1.90090i −0.271661 0.120951i
\(248\) −8.87507 + 9.85676i −0.563567 + 0.625905i
\(249\) 28.4977 13.2110i 1.80597 0.837213i
\(250\) 12.2951 13.9532i 0.777608 0.882478i
\(251\) −23.1900 −1.46374 −0.731869 0.681445i \(-0.761352\pi\)
−0.731869 + 0.681445i \(0.761352\pi\)
\(252\) 2.52575 1.95515i 0.159107 0.123163i
\(253\) 0.394169 0.286381i 0.0247812 0.0180046i
\(254\) 3.85784 + 36.7049i 0.242062 + 2.30307i
\(255\) 5.86686 5.88253i 0.367397 0.368378i
\(256\) −1.67716 + 15.9571i −0.104823 + 0.997321i
\(257\) −10.4244 18.0555i −0.650253 1.12627i −0.983061 0.183277i \(-0.941329\pi\)
0.332808 0.942995i \(-0.392004\pi\)
\(258\) −2.32336 + 2.66065i −0.144646 + 0.165645i
\(259\) 2.66369 + 2.95833i 0.165514 + 0.183821i
\(260\) 0.432291 1.08107i 0.0268096 0.0670452i
\(261\) −0.830012 6.10436i −0.0513764 0.377850i
\(262\) 5.97377 18.3854i 0.369061 1.13585i
\(263\) −6.07004 6.74146i −0.374295 0.415696i 0.526339 0.850275i \(-0.323564\pi\)
−0.900634 + 0.434578i \(0.856897\pi\)
\(264\) 10.9912 + 11.8397i 0.676460 + 0.728683i
\(265\) −1.31310 2.66799i −0.0806629 0.163893i
\(266\) 15.5485 3.30493i 0.953338 0.202638i
\(267\) 4.23068 + 12.3769i 0.258914 + 0.757453i
\(268\) 5.45140 9.44209i 0.332997 0.576768i
\(269\) 12.0005 + 8.71886i 0.731683 + 0.531599i 0.890095 0.455774i \(-0.150638\pi\)
−0.158413 + 0.987373i \(0.550638\pi\)
\(270\) −6.34978 + 18.2540i −0.386435 + 1.11091i
\(271\) 6.34725 4.61155i 0.385568 0.280132i −0.378069 0.925777i \(-0.623412\pi\)
0.763637 + 0.645646i \(0.223412\pi\)
\(272\) 1.10895 + 10.5510i 0.0672402 + 0.639748i
\(273\) −0.480850 + 1.56027i −0.0291024 + 0.0944316i
\(274\) −13.7754 23.8597i −0.832203 1.44142i
\(275\) 19.3670 + 11.9101i 1.16788 + 0.718208i
\(276\) −0.129121 + 0.0598580i −0.00777218 + 0.00360303i
\(277\) 21.7610 + 4.62545i 1.30749 + 0.277916i 0.808400 0.588633i \(-0.200334\pi\)
0.499092 + 0.866549i \(0.333667\pi\)
\(278\) −22.6487 + 16.4552i −1.35838 + 0.986919i
\(279\) 1.43999 19.3456i 0.0862100 1.15819i
\(280\) −1.56255 6.17291i −0.0933799 0.368902i
\(281\) 9.27859 4.13109i 0.553514 0.246440i −0.110866 0.993835i \(-0.535362\pi\)
0.664380 + 0.747395i \(0.268696\pi\)
\(282\) −3.04688 + 33.9491i −0.181439 + 2.02164i
\(283\) −0.0797346 + 0.758624i −0.00473973 + 0.0450955i −0.996636 0.0819538i \(-0.973884\pi\)
0.991896 + 0.127049i \(0.0405507\pi\)
\(284\) −10.1622 + 2.16005i −0.603018 + 0.128175i
\(285\) −18.8255 + 18.8758i −1.11513 + 1.11811i
\(286\) 5.02339 + 1.06775i 0.297039 + 0.0631376i
\(287\) −2.33074 + 7.17328i −0.137579 + 0.423425i
\(288\) −6.50947 10.5220i −0.383574 0.620017i
\(289\) −3.83131 11.7916i −0.225371 0.693622i
\(290\) 7.34956 + 2.07904i 0.431581 + 0.122085i
\(291\) −2.25292 18.6950i −0.132069 1.09592i
\(292\) 0.474936 4.51872i 0.0277935 0.264438i
\(293\) 3.29507 + 5.70722i 0.192500 + 0.333419i 0.946078 0.323939i \(-0.105007\pi\)
−0.753578 + 0.657358i \(0.771674\pi\)
\(294\) 4.72700 + 13.8289i 0.275684 + 0.806516i
\(295\) 0.148994 + 3.86982i 0.00867476 + 0.225310i
\(296\) 4.75815 3.45699i 0.276562 0.200934i
\(297\) −23.3118 3.85316i −1.35269 0.223583i
\(298\) −8.20364 25.2482i −0.475224 1.46259i
\(299\) 0.0363745 0.0630025i 0.00210359 0.00364353i
\(300\) −4.87941 4.50554i −0.281713 0.260127i
\(301\) 0.851063 + 1.47408i 0.0490545 + 0.0849648i
\(302\) −9.36656 + 10.4026i −0.538985 + 0.598604i
\(303\) −10.2970 + 18.4785i −0.591548 + 1.06156i
\(304\) −3.55840 33.8559i −0.204088 1.94177i
\(305\) −3.13418 + 7.83794i −0.179462 + 0.448799i
\(306\) −7.40145 7.73354i −0.423113 0.442097i
\(307\) 20.2069 1.15327 0.576634 0.817002i \(-0.304366\pi\)
0.576634 + 0.817002i \(0.304366\pi\)
\(308\) −4.42282 + 1.96917i −0.252014 + 0.112204i
\(309\) −1.35247 0.577674i −0.0769396 0.0328627i
\(310\) 21.2765 + 11.2155i 1.20842 + 0.636997i
\(311\) 11.9608 13.2838i 0.678234 0.753255i −0.301520 0.953460i \(-0.597494\pi\)
0.979754 + 0.200205i \(0.0641608\pi\)
\(312\) 2.21830 + 0.947489i 0.125587 + 0.0536410i
\(313\) 12.2784 + 13.6366i 0.694019 + 0.770786i 0.982412 0.186726i \(-0.0597877\pi\)
−0.288393 + 0.957512i \(0.593121\pi\)
\(314\) 0.0437675 + 0.134702i 0.00246994 + 0.00760170i
\(315\) 7.33367 + 5.74043i 0.413205 + 0.323437i
\(316\) −2.12766 + 6.54826i −0.119690 + 0.368369i
\(317\) 2.89860 1.29054i 0.162802 0.0724841i −0.323718 0.946154i \(-0.604933\pi\)
0.486520 + 0.873670i \(0.338266\pi\)
\(318\) −3.47604 + 1.61142i −0.194927 + 0.0903641i
\(319\) −0.976064 + 9.28663i −0.0546491 + 0.519952i
\(320\) −6.70820 + 0.967250i −0.375000 + 0.0540709i
\(321\) 33.0375 0.502571i 1.84398 0.0280508i
\(322\) 0.0258642 + 0.246082i 0.00144136 + 0.0137136i
\(323\) −4.56282 14.0429i −0.253882 0.781369i
\(324\) 6.46429 + 2.41869i 0.359127 + 0.134372i
\(325\) 3.36509 + 0.448416i 0.186662 + 0.0248736i
\(326\) 10.2602 17.7712i 0.568261 0.984256i
\(327\) 6.68585 21.6943i 0.369728 1.19970i
\(328\) 10.1800 + 4.53244i 0.562098 + 0.250262i
\(329\) 15.0050 + 6.68065i 0.827251 + 0.368316i
\(330\) 15.9222 24.5898i 0.876491 1.35363i
\(331\) −13.4822 + 6.00268i −0.741051 + 0.329937i −0.742305 0.670062i \(-0.766268\pi\)
0.00125393 + 0.999999i \(0.499601\pi\)
\(332\) 13.9076 0.763278
\(333\) −2.40811 + 8.25811i −0.131963 + 0.452542i
\(334\) 3.44246 10.5948i 0.188363 0.579721i
\(335\) 30.5898 + 8.65322i 1.67130 + 0.472776i
\(336\) −11.5937 + 2.64926i −0.632491 + 0.144529i
\(337\) 11.9319 2.53619i 0.649970 0.138155i 0.128884 0.991660i \(-0.458861\pi\)
0.521086 + 0.853504i \(0.325527\pi\)
\(338\) −20.4015 + 4.33648i −1.10970 + 0.235873i
\(339\) 11.7573 2.68663i 0.638569 0.145918i
\(340\) 3.45213 1.27047i 0.187218 0.0689010i
\(341\) −9.08639 + 27.9650i −0.492056 + 1.51439i
\(342\) 23.7497 + 24.8153i 1.28424 + 1.34186i
\(343\) 16.7606 0.904989
\(344\) 2.29736 1.02285i 0.123865 0.0551485i
\(345\) −0.261583 0.322149i −0.0140832 0.0173439i
\(346\) −17.4744 7.78011i −0.939430 0.418261i
\(347\) 19.8592 + 8.84187i 1.06610 + 0.474656i 0.863366 0.504578i \(-0.168352\pi\)
0.202730 + 0.979235i \(0.435019\pi\)
\(348\) 0.803333 2.60666i 0.0430631 0.139732i
\(349\) 5.54554 9.60516i 0.296846 0.514152i −0.678567 0.734539i \(-0.737399\pi\)
0.975413 + 0.220387i \(0.0707319\pi\)
\(350\) −10.1561 + 5.49361i −0.542866 + 0.293646i
\(351\) −3.41387 + 0.890174i −0.182219 + 0.0475140i
\(352\) 5.79531 + 17.8361i 0.308891 + 0.950669i
\(353\) −0.530083 5.04340i −0.0282135 0.268433i −0.999530 0.0306445i \(-0.990244\pi\)
0.971317 0.237789i \(-0.0764226\pi\)
\(354\) 4.98923 0.0758967i 0.265174 0.00403387i
\(355\) −13.3768 27.1793i −0.709965 1.44253i
\(356\) −0.605357 + 5.75959i −0.0320838 + 0.305257i
\(357\) −4.67989 + 2.16951i −0.247686 + 0.114822i
\(358\) −7.46292 + 3.32271i −0.394427 + 0.175610i
\(359\) −9.46581 + 29.1328i −0.499586 + 1.53757i 0.310099 + 0.950704i \(0.399638\pi\)
−0.809685 + 0.586864i \(0.800362\pi\)
\(360\) 9.56720 9.88913i 0.504236 0.521203i
\(361\) 8.76981 + 26.9907i 0.461569 + 1.42056i
\(362\) −2.32737 2.58480i −0.122324 0.135854i
\(363\) 15.4145 + 6.58388i 0.809049 + 0.345564i
\(364\) −0.483707 + 0.537211i −0.0253531 + 0.0281575i
\(365\) 13.1126 1.89069i 0.686342 0.0989632i
\(366\) 10.0022 + 4.27216i 0.522822 + 0.223310i
\(367\) −14.5972 + 6.49910i −0.761968 + 0.339250i −0.750662 0.660686i \(-0.770265\pi\)
−0.0113057 + 0.999936i \(0.503599\pi\)
\(368\) 0.529910 0.0276235
\(369\) −15.8317 + 3.87195i −0.824163 + 0.201565i
\(370\) −8.19434 6.82608i −0.426003 0.354871i
\(371\) 0.192986 + 1.83614i 0.0100193 + 0.0953276i
\(372\) 4.18096 7.50293i 0.216773 0.389009i
\(373\) 7.53730 8.37102i 0.390267 0.433435i −0.515710 0.856763i \(-0.672472\pi\)
0.905976 + 0.423328i \(0.139138\pi\)
\(374\) 8.11274 + 14.0517i 0.419500 + 0.726595i
\(375\) 9.24425 17.0160i 0.477371 0.878702i
\(376\) 12.1334 21.0157i 0.625733 1.08380i
\(377\) 0.430852 + 1.32603i 0.0221900 + 0.0682938i
\(378\) 7.61419 9.27448i 0.391632 0.477028i
\(379\) −17.8996 + 13.0048i −0.919440 + 0.668012i −0.943385 0.331701i \(-0.892377\pi\)
0.0239446 + 0.999713i \(0.492377\pi\)
\(380\) −11.0772 + 4.07668i −0.568247 + 0.209129i
\(381\) 12.4302 + 36.3646i 0.636819 + 1.86302i
\(382\) 8.54123 + 14.7938i 0.437007 + 0.756919i
\(383\) −0.661282 + 6.29168i −0.0337899 + 0.321490i 0.964550 + 0.263899i \(0.0850086\pi\)
−0.998340 + 0.0575909i \(0.981658\pi\)
\(384\) 2.75413 + 22.8542i 0.140546 + 1.16627i
\(385\) −8.73065 11.0927i −0.444955 0.565338i
\(386\) 0.903967 + 2.78213i 0.0460107 + 0.141606i
\(387\) −1.74130 + 3.23978i −0.0885154 + 0.164687i
\(388\) 2.57638 7.92927i 0.130796 0.402548i
\(389\) −32.3577 6.87784i −1.64060 0.348720i −0.707049 0.707165i \(-0.749974\pi\)
−0.933551 + 0.358444i \(0.883307\pi\)
\(390\) 0.678501 4.32117i 0.0343572 0.218811i
\(391\) 0.224821 0.0477872i 0.0113697 0.00241670i
\(392\) 1.08758 10.3476i 0.0549309 0.522633i
\(393\) 1.79936 20.0489i 0.0907655 1.01133i
\(394\) 2.40786 1.07205i 0.121306 0.0540089i
\(395\) −20.0319 1.32880i −1.00791 0.0668591i
\(396\) −8.64675 5.88890i −0.434516 0.295928i
\(397\) 22.9141 16.6480i 1.15002 0.835541i 0.161540 0.986866i \(-0.448354\pi\)
0.988484 + 0.151325i \(0.0483539\pi\)
\(398\) −7.87134 1.67310i −0.394554 0.0838651i
\(399\) 15.0168 6.96149i 0.751779 0.348510i
\(400\) 9.42712 + 22.8608i 0.471356 + 1.14304i
\(401\) −4.98614 8.63625i −0.248996 0.431274i 0.714251 0.699889i \(-0.246767\pi\)
−0.963248 + 0.268615i \(0.913434\pi\)
\(402\) 12.0634 39.1436i 0.601670 1.95231i
\(403\) 0.458929 + 4.36642i 0.0228609 + 0.217507i
\(404\) −7.57731 + 5.50524i −0.376985 + 0.273896i
\(405\) −2.21151 + 20.0027i −0.109891 + 0.993944i
\(406\) −3.83655 2.78742i −0.190405 0.138337i
\(407\) 6.51926 11.2917i 0.323148 0.559708i
\(408\) 2.46501 + 7.21139i 0.122036 + 0.357017i
\(409\) 9.44969 2.00859i 0.467257 0.0993186i 0.0317346 0.999496i \(-0.489897\pi\)
0.435523 + 0.900178i \(0.356564\pi\)
\(410\) 3.43772 19.9124i 0.169777 0.983402i
\(411\) −19.5181 21.0249i −0.962754 1.03708i
\(412\) −0.435711 0.483906i −0.0214659 0.0238403i
\(413\) 0.743021 2.28678i 0.0365617 0.112525i
\(414\) −0.422806 + 0.327290i −0.0207798 + 0.0160854i
\(415\) 9.95092 + 39.3116i 0.488471 + 1.92973i
\(416\) 1.87373 + 2.08099i 0.0918672 + 0.102029i
\(417\) −19.1739 + 21.9574i −0.938951 + 1.07526i
\(418\) −26.0321 45.0889i −1.27327 2.20537i
\(419\) 1.32174 12.5755i 0.0645710 0.614352i −0.913609 0.406594i \(-0.866717\pi\)
0.978180 0.207758i \(-0.0666168\pi\)
\(420\) 1.87693 + 3.67158i 0.0915850 + 0.179155i
\(421\) 2.39672 + 22.8033i 0.116809 + 1.11136i 0.883202 + 0.468992i \(0.155383\pi\)
−0.766393 + 0.642372i \(0.777951\pi\)
\(422\) −5.77800 + 4.19797i −0.281269 + 0.204354i
\(423\) 4.78191 + 35.1688i 0.232504 + 1.70996i
\(424\) 2.72771 0.132470
\(425\) 6.06116 + 8.84887i 0.294010 + 0.429233i
\(426\) −35.4111 + 16.4159i −1.71567 + 0.795352i
\(427\) 3.50695 3.89486i 0.169713 0.188485i
\(428\) 13.3647 + 5.95033i 0.646005 + 0.287620i
\(429\) 5.34696 0.0813386i 0.258154 0.00392706i
\(430\) −2.82035 3.58340i −0.136009 0.172807i
\(431\) 10.6124 + 7.71039i 0.511183 + 0.371397i 0.813272 0.581883i \(-0.197684\pi\)
−0.302089 + 0.953280i \(0.597684\pi\)
\(432\) −18.0489 18.2933i −0.868376 0.880138i
\(433\) −19.0904 13.8700i −0.917425 0.666548i 0.0254569 0.999676i \(-0.491896\pi\)
−0.942882 + 0.333128i \(0.891896\pi\)
\(434\) −9.99217 11.0974i −0.479639 0.532694i
\(435\) 7.94285 + 0.405647i 0.380831 + 0.0194493i
\(436\) 6.72557 7.46950i 0.322096 0.357724i
\(437\) −0.721404 + 0.153339i −0.0345094 + 0.00733521i
\(438\) −2.04228 16.9471i −0.0975840 0.809765i
\(439\) 7.92866 + 1.68529i 0.378414 + 0.0804344i 0.393192 0.919456i \(-0.371371\pi\)
−0.0147778 + 0.999891i \(0.504704\pi\)
\(440\) −17.6473 + 11.1152i −0.841301 + 0.529896i
\(441\) 8.00617 + 12.9413i 0.381246 + 0.616254i
\(442\) 1.96001 + 1.42403i 0.0932280 + 0.0677341i
\(443\) −0.254259 + 0.440389i −0.0120802 + 0.0209235i −0.872002 0.489502i \(-0.837179\pi\)
0.859922 + 0.510425i \(0.170512\pi\)
\(444\) −2.50514 + 2.86882i −0.118889 + 0.136148i
\(445\) −16.7133 + 2.40988i −0.792288 + 0.114239i
\(446\) −24.6295 10.9658i −1.16624 0.519244i
\(447\) −14.1842 23.7268i −0.670888 1.12224i
\(448\) 4.11609 + 0.874903i 0.194467 + 0.0413353i
\(449\) 7.22605 0.341018 0.170509 0.985356i \(-0.445459\pi\)
0.170509 + 0.985356i \(0.445459\pi\)
\(450\) −21.6413 12.4178i −1.02018 0.585380i
\(451\) 24.7040 1.16327
\(452\) 5.22317 + 1.11022i 0.245677 + 0.0522203i
\(453\) −7.09509 + 12.7325i −0.333356 + 0.598223i
\(454\) −13.9985 6.23256i −0.656984 0.292508i
\(455\) −1.86459 0.982883i −0.0874132 0.0460783i
\(456\) −7.90969 23.1398i −0.370405 1.08362i
\(457\) −7.94049 + 13.7533i −0.371441 + 0.643354i −0.989787 0.142551i \(-0.954469\pi\)
0.618347 + 0.785905i \(0.287803\pi\)
\(458\) −11.0413 8.02199i −0.515927 0.374843i
\(459\) −9.30715 6.13354i −0.434421 0.286289i
\(460\) −0.0450869 0.178118i −0.00210219 0.00830478i
\(461\) −32.2855 6.86249i −1.50369 0.319618i −0.618845 0.785513i \(-0.712399\pi\)
−0.884840 + 0.465895i \(0.845733\pi\)
\(462\) −14.5504 + 10.9135i −0.676947 + 0.507740i
\(463\) −18.0119 + 3.82855i −0.837084 + 0.177928i −0.606459 0.795115i \(-0.707411\pi\)
−0.230625 + 0.973043i \(0.574077\pi\)
\(464\) −6.79566 + 7.54734i −0.315480 + 0.350377i
\(465\) 24.1995 + 6.44965i 1.12222 + 0.299096i
\(466\) −9.22069 10.2406i −0.427140 0.474387i
\(467\) −14.9196 10.8397i −0.690398 0.501603i 0.186393 0.982475i \(-0.440320\pi\)
−0.876791 + 0.480872i \(0.840320\pi\)
\(468\) −1.53711 0.278147i −0.0710528 0.0128574i
\(469\) −15.9682 11.6016i −0.737344 0.535712i
\(470\) −42.3427 11.9779i −1.95312 0.552498i
\(471\) 0.0756744 + 0.126585i 0.00348689 + 0.00583275i
\(472\) −3.24531 1.44491i −0.149378 0.0665072i
\(473\) 3.73043 4.14306i 0.171525 0.190498i
\(474\) −2.31223 + 25.7634i −0.106204 + 1.18335i
\(475\) −19.4490 28.3942i −0.892381 1.30281i
\(476\) −2.28390 −0.104682
\(477\) −3.15477 + 2.44207i −0.144447 + 0.111815i
\(478\) 1.45226 1.05513i 0.0664250 0.0482606i
\(479\) 2.41271 + 22.9554i 0.110239 + 1.04886i 0.900133 + 0.435614i \(0.143469\pi\)
−0.789894 + 0.613243i \(0.789865\pi\)
\(480\) 14.9046 5.74417i 0.680301 0.262184i
\(481\) 0.203500 1.93617i 0.00927881 0.0882820i
\(482\) −20.8726 36.1524i −0.950720 1.64670i
\(483\) 0.0833362 + 0.243800i 0.00379193 + 0.0110933i
\(484\) 4.96589 + 5.51518i 0.225722 + 0.250690i
\(485\) 24.2565 + 1.60904i 1.10143 + 0.0730627i
\(486\) 25.6994 + 3.44839i 1.16575 + 0.156422i
\(487\) −3.52725 + 10.8558i −0.159835 + 0.491921i −0.998619 0.0525435i \(-0.983267\pi\)
0.838784 + 0.544465i \(0.183267\pi\)
\(488\) −5.18127 5.75439i −0.234545 0.260489i
\(489\) 6.29302 20.4197i 0.284580 0.923409i
\(490\) −18.6741 + 2.69260i −0.843608 + 0.121639i
\(491\) 38.9241 8.27356i 1.75662 0.373381i 0.786799 0.617209i \(-0.211737\pi\)
0.969818 + 0.243828i \(0.0784033\pi\)
\(492\) −7.08055 1.39280i −0.319216 0.0627924i
\(493\) −2.20253 + 3.81489i −0.0991969 + 0.171814i
\(494\) −6.28925 4.56941i −0.282967 0.205587i
\(495\) 10.4590 28.6547i 0.470095 1.28793i
\(496\) −25.8728 + 18.7977i −1.16172 + 0.844041i
\(497\) 1.96599 + 18.7051i 0.0881866 + 0.839039i
\(498\) 50.9360 11.6393i 2.28250 0.521568i
\(499\) 18.1188 + 31.3826i 0.811107 + 1.40488i 0.912090 + 0.409990i \(0.134468\pi\)
−0.100983 + 0.994888i \(0.532199\pi\)
\(500\) 6.88208 5.11381i 0.307776 0.228697i
\(501\) 1.03690 11.5534i 0.0463253 0.516167i
\(502\) −37.7312 8.02001i −1.68403 0.357951i
\(503\) 26.1554 19.0030i 1.16621 0.847302i 0.175661 0.984451i \(-0.443794\pi\)
0.990550 + 0.137149i \(0.0437939\pi\)
\(504\) −7.69514 + 3.71055i −0.342769 + 0.165281i
\(505\) −20.9829 17.4792i −0.933725 0.777816i
\(506\) 0.740374 0.329636i 0.0329136 0.0146541i
\(507\) −19.7039 + 9.13434i −0.875081 + 0.405670i
\(508\) −1.77860 + 16.9223i −0.0789128 + 0.750805i
\(509\) 0.264168 0.0561506i 0.0117090 0.00248883i −0.202053 0.979374i \(-0.564761\pi\)
0.213762 + 0.976886i \(0.431428\pi\)
\(510\) 11.5801 7.54215i 0.512774 0.333972i
\(511\) −8.04575 1.71018i −0.355923 0.0756538i
\(512\) −0.0335504 + 0.103257i −0.00148273 + 0.00456337i
\(513\) 29.8647 + 19.6812i 1.31856 + 0.868948i
\(514\) −10.7166 32.9823i −0.472689 1.45479i
\(515\) 1.05607 1.57783i 0.0465360 0.0695274i
\(516\) −1.30278 + 0.977145i −0.0573518 + 0.0430164i
\(517\) 5.62336 53.5027i 0.247315 2.35304i
\(518\) 3.31084 + 5.73454i 0.145470 + 0.251961i
\(519\) −19.5431 3.84429i −0.857847 0.168746i
\(520\) −1.73214 + 2.58792i −0.0759595 + 0.113488i
\(521\) 22.4017 16.2758i 0.981435 0.713054i 0.0234061 0.999726i \(-0.492549\pi\)
0.958029 + 0.286672i \(0.0925489\pi\)
\(522\) 0.760659 10.2191i 0.0332931 0.447279i
\(523\) 11.9194 + 36.6841i 0.521198 + 1.60408i 0.771713 + 0.635971i \(0.219400\pi\)
−0.250515 + 0.968113i \(0.580600\pi\)
\(524\) 4.45627 7.71848i 0.194673 0.337183i
\(525\) −9.03523 + 7.93242i −0.394330 + 0.346199i
\(526\) −7.54477 13.0679i −0.328968 0.569789i
\(527\) −9.28170 + 10.3084i −0.404317 + 0.449040i
\(528\) 19.9869 + 33.4335i 0.869820 + 1.45500i
\(529\) 2.40295 + 22.8626i 0.104476 + 0.994025i
\(530\) −1.21377 4.79506i −0.0527229 0.208284i
\(531\) 5.04701 1.23435i 0.219021 0.0535660i
\(532\) 7.32855 0.317733
\(533\) 3.36976 1.50032i 0.145961 0.0649859i
\(534\) 2.60310 + 21.6009i 0.112647 + 0.934763i
\(535\) −7.25691 + 42.0344i −0.313744 + 1.81731i
\(536\) −19.5127 + 21.6711i −0.842820 + 0.936047i
\(537\) −6.80494 + 5.10401i −0.293655 + 0.220254i
\(538\) 16.5100 + 18.3362i 0.711798 + 0.790531i
\(539\) −7.12781 21.9371i −0.307016 0.944900i
\(540\) −4.61324 + 7.62320i −0.198522 + 0.328050i
\(541\) −9.26487 + 28.5143i −0.398328 + 1.22593i 0.528011 + 0.849237i \(0.322938\pi\)
−0.926339 + 0.376690i \(0.877062\pi\)
\(542\) 11.9221 5.30808i 0.512099 0.228001i
\(543\) −2.96210 2.08400i −0.127116 0.0894331i
\(544\) −0.924776 + 8.79865i −0.0396494 + 0.377239i
\(545\) 25.9257 + 13.6662i 1.11053 + 0.585397i
\(546\) −1.32197 + 2.37233i −0.0565749 + 0.101526i
\(547\) −0.600529 5.71365i −0.0256768 0.244298i −0.999830 0.0184119i \(-0.994139\pi\)
0.974154 0.225886i \(-0.0725277\pi\)
\(548\) −3.92511 12.0802i −0.167672 0.516042i
\(549\) 11.1443 + 2.01661i 0.475626 + 0.0860667i
\(550\) 27.3921 + 26.0762i 1.16800 + 1.11189i
\(551\) 7.06745 12.2412i 0.301083 0.521492i
\(552\) 0.371095 0.0847980i 0.0157949 0.00360924i
\(553\) 11.3870 + 5.06984i 0.484227 + 0.215592i
\(554\) 33.8065 + 15.0516i 1.43630 + 0.639483i
\(555\) −9.90152 5.02846i −0.420296 0.213446i
\(556\) −11.7910 + 5.24969i −0.500049 + 0.222636i
\(557\) −13.8510 −0.586887 −0.293444 0.955976i \(-0.594801\pi\)
−0.293444 + 0.955976i \(0.594801\pi\)
\(558\) 9.03342 30.9783i 0.382415 1.31141i
\(559\) 0.257236 0.791691i 0.0108799 0.0334850i
\(560\) −0.590686 15.3419i −0.0249610 0.648313i
\(561\) 11.4947 + 12.3822i 0.485309 + 0.522775i
\(562\) 16.5254 3.51258i 0.697081 0.148169i
\(563\) 29.1494 6.19591i 1.22850 0.261126i 0.452447 0.891791i \(-0.350551\pi\)
0.776055 + 0.630665i \(0.217218\pi\)
\(564\) −4.62820 + 15.0176i −0.194883 + 0.632357i
\(565\) 0.599018 + 15.5583i 0.0252009 + 0.654543i
\(566\) −0.392094 + 1.20674i −0.0164809 + 0.0507231i
\(567\) 5.57793 11.1808i 0.234251 0.469549i
\(568\) 27.7878 1.16595
\(569\) 14.9654 6.66301i 0.627381 0.279328i −0.0683159 0.997664i \(-0.521763\pi\)
0.695696 + 0.718336i \(0.255096\pi\)
\(570\) −37.1580 + 24.2012i −1.55638 + 1.01368i
\(571\) −4.71944 2.10123i −0.197502 0.0879337i 0.305602 0.952159i \(-0.401142\pi\)
−0.503104 + 0.864226i \(0.667809\pi\)
\(572\) 2.16300 + 0.963031i 0.0904397 + 0.0402663i
\(573\) 12.1019 + 13.0361i 0.505562 + 0.544592i
\(574\) −6.27303 + 10.8652i −0.261831 + 0.453505i
\(575\) 0.471213 0.254888i 0.0196509 0.0106295i
\(576\) 3.07166 + 8.55855i 0.127986 + 0.356606i
\(577\) 4.99821 + 15.3829i 0.208078 + 0.640399i 0.999573 + 0.0292230i \(0.00930328\pi\)
−0.791495 + 0.611176i \(0.790697\pi\)
\(578\) −2.15574 20.5105i −0.0896668 0.853122i
\(579\) 1.56297 + 2.61448i 0.0649547 + 0.108654i
\(580\) 3.11508 + 1.64206i 0.129347 + 0.0681826i
\(581\) 2.63177 25.0396i 0.109184 1.03882i
\(582\) 2.79988 31.1969i 0.116059 1.29315i
\(583\) 5.52430 2.45958i 0.228793 0.101865i
\(584\) −3.75536 + 11.5578i −0.155398 + 0.478266i
\(585\) −0.313587 4.54385i −0.0129652 0.187865i
\(586\) 3.38744 + 10.4255i 0.139934 + 0.430672i
\(587\) −18.8057 20.8858i −0.776193 0.862050i 0.217281 0.976109i \(-0.430281\pi\)
−0.993474 + 0.114059i \(0.963615\pi\)
\(588\) 0.806132 + 6.68939i 0.0332443 + 0.275866i
\(589\) 29.7830 33.0774i 1.22719 1.36293i
\(590\) −1.09592 + 6.34790i −0.0451182 + 0.261339i
\(591\) 2.19556 1.64677i 0.0903135 0.0677391i
\(592\) 12.9549 5.76791i 0.532444 0.237060i
\(593\) 3.80524 0.156262 0.0781312 0.996943i \(-0.475105\pi\)
0.0781312 + 0.996943i \(0.475105\pi\)
\(594\) −36.5969 14.3314i −1.50159 0.588025i
\(595\) −1.63414 6.45573i −0.0669931 0.264659i
\(596\) −1.27936 12.1723i −0.0524047 0.498597i
\(597\) −8.37836 + 0.127453i −0.342903 + 0.00521629i
\(598\) 0.0809718 0.0899283i 0.00331118 0.00367744i
\(599\) 17.5681 + 30.4289i 0.717813 + 1.24329i 0.961864 + 0.273527i \(0.0881902\pi\)
−0.244051 + 0.969762i \(0.578476\pi\)
\(600\) 10.2601 + 14.5009i 0.418866 + 0.591995i
\(601\) −10.6092 + 18.3758i −0.432760 + 0.749563i −0.997110 0.0759732i \(-0.975794\pi\)
0.564350 + 0.825536i \(0.309127\pi\)
\(602\) 0.874923 + 2.69274i 0.0356592 + 0.109748i
\(603\) 3.16596 42.5333i 0.128928 1.73209i
\(604\) −5.22110 + 3.79335i −0.212443 + 0.154349i
\(605\) −12.0363 + 17.9829i −0.489343 + 0.731107i
\(606\) −23.1443 + 26.5042i −0.940173 + 1.07666i
\(607\) −7.55362 13.0833i −0.306592 0.531033i 0.671023 0.741437i \(-0.265855\pi\)
−0.977615 + 0.210404i \(0.932522\pi\)
\(608\) 2.96741 28.2330i 0.120344 1.14500i
\(609\) −4.54109 1.93961i −0.184014 0.0785969i
\(610\) −7.81012 + 11.6688i −0.316222 + 0.472454i
\(611\) −2.48225 7.63958i −0.100421 0.309064i
\(612\) −2.59647 4.19699i −0.104956 0.169653i
\(613\) −0.267857 + 0.824379i −0.0108186 + 0.0332963i −0.956320 0.292321i \(-0.905572\pi\)
0.945501 + 0.325618i \(0.105572\pi\)
\(614\) 32.8776 + 6.98834i 1.32683 + 0.282026i
\(615\) −1.12922 21.0106i −0.0455345 0.847231i
\(616\) 12.6661 2.69226i 0.510331 0.108474i
\(617\) −2.07726 + 19.7638i −0.0836272 + 0.795660i 0.869671 + 0.493631i \(0.164331\pi\)
−0.953299 + 0.302029i \(0.902336\pi\)
\(618\) −2.00076 1.40764i −0.0804823 0.0566237i
\(619\) 16.3619 7.28480i 0.657641 0.292801i −0.0506549 0.998716i \(-0.516131\pi\)
0.708296 + 0.705915i \(0.249464\pi\)
\(620\) 8.51980 + 7.09720i 0.342163 + 0.285030i
\(621\) −0.353276 + 0.430309i −0.0141765 + 0.0172677i
\(622\) 24.0548 17.4768i 0.964510 0.700757i
\(623\) 10.2552 + 2.17980i 0.410864 + 0.0873319i
\(624\) 4.75680 + 3.34667i 0.190424 + 0.133974i
\(625\) 19.3790 + 15.7941i 0.775160 + 0.631765i
\(626\) 15.2615 + 26.4337i 0.609973 + 1.05650i
\(627\) −36.8842 39.7317i −1.47301 1.58673i
\(628\) 0.00682556 + 0.0649409i 0.000272370 + 0.00259142i
\(629\) 4.97615 3.61538i 0.198412 0.144155i
\(630\) 9.94695 + 11.8762i 0.396296 + 0.473160i
\(631\) −27.5034 19.9824i −1.09489 0.795487i −0.114675 0.993403i \(-0.536583\pi\)
−0.980219 + 0.197916i \(0.936583\pi\)
\(632\) 9.20786 15.9485i 0.366269 0.634396i
\(633\) −4.89154 + 5.60166i −0.194421 + 0.222646i
\(634\) 5.16248 1.09732i 0.205028 0.0435801i
\(635\) −49.1056 + 7.08050i −1.94870 + 0.280981i
\(636\) −1.72202 + 0.393495i −0.0682826 + 0.0156031i
\(637\) −2.30455 2.55946i −0.0913097 0.101410i
\(638\) −4.79979 + 14.7722i −0.190025 + 0.584838i
\(639\) −32.1383 + 24.8779i −1.27137 + 0.984154i
\(640\) −29.6529 1.96701i −1.17213 0.0777527i
\(641\) −8.52288 9.46562i −0.336634 0.373870i 0.550932 0.834550i \(-0.314272\pi\)
−0.887566 + 0.460680i \(0.847606\pi\)
\(642\) 53.9274 + 10.6080i 2.12835 + 0.418664i
\(643\) 9.31365 + 16.1317i 0.367295 + 0.636173i 0.989142 0.146966i \(-0.0469507\pi\)
−0.621847 + 0.783139i \(0.713617\pi\)
\(644\) −0.0119243 + 0.113453i −0.000469885 + 0.00447066i
\(645\) −3.69417 2.98333i −0.145458 0.117469i
\(646\) −2.56733 24.4265i −0.101010 0.961047i
\(647\) −2.58476 + 1.87794i −0.101617 + 0.0738294i −0.637434 0.770505i \(-0.720004\pi\)
0.535816 + 0.844335i \(0.320004\pi\)
\(648\) −15.5670 9.92256i −0.611528 0.389795i
\(649\) −7.87544 −0.309138
\(650\) 5.32009 + 1.89338i 0.208671 + 0.0742643i
\(651\) −12.7173 8.94731i −0.498430 0.350673i
\(652\) 6.33041 7.03063i 0.247918 0.275341i
\(653\) −4.61992 2.05692i −0.180792 0.0804936i 0.314345 0.949309i \(-0.398215\pi\)
−0.495136 + 0.868815i \(0.664882\pi\)
\(654\) 18.3809 32.9854i 0.718751 1.28983i
\(655\) 25.0057 + 7.07361i 0.977055 + 0.276389i
\(656\) 21.7371 + 15.7929i 0.848691 + 0.616610i
\(657\) −6.00419 16.7294i −0.234246 0.652678i
\(658\) 22.1034 + 16.0590i 0.861679 + 0.626046i
\(659\) 0.955484 + 1.06117i 0.0372204 + 0.0413374i 0.761468 0.648203i \(-0.224479\pi\)
−0.724247 + 0.689540i \(0.757813\pi\)
\(660\) 9.53736 9.56283i 0.371241 0.372233i
\(661\) −3.11002 + 3.45402i −0.120966 + 0.134346i −0.800586 0.599219i \(-0.795478\pi\)
0.679620 + 0.733564i \(0.262145\pi\)
\(662\) −24.0122 + 5.10395i −0.933261 + 0.198371i
\(663\) 2.31994 + 0.990900i 0.0900989 + 0.0384834i
\(664\) −36.3852 7.73391i −1.41202 0.300134i
\(665\) 5.24360 + 20.7151i 0.203338 + 0.803296i
\(666\) −6.77408 + 12.6035i −0.262490 + 0.488376i
\(667\) 0.178005 + 0.129328i 0.00689238 + 0.00500761i
\(668\) 2.56797 4.44786i 0.0993579 0.172093i
\(669\) −27.5453 5.41838i −1.06496 0.209487i
\(670\) 46.7784 + 24.6583i 1.80721 + 0.952635i
\(671\) −15.6821 6.98212i −0.605401 0.269542i
\(672\) −9.91628 + 0.150848i −0.382529 + 0.00581907i
\(673\) −18.4133 3.91386i −0.709780 0.150868i −0.161145 0.986931i \(-0.551519\pi\)
−0.548634 + 0.836062i \(0.684852\pi\)
\(674\) 20.2908 0.781572
\(675\) −24.8488 7.58549i −0.956429 0.291965i
\(676\) −9.61597 −0.369845
\(677\) 9.69731 + 2.06123i 0.372698 + 0.0792194i 0.390453 0.920623i \(-0.372318\pi\)
−0.0177547 + 0.999842i \(0.505652\pi\)
\(678\) 20.0588 0.305137i 0.770354 0.0117187i
\(679\) −13.7885 6.13906i −0.529156 0.235595i
\(680\) −9.73802 + 1.40412i −0.373436 + 0.0538454i
\(681\) −15.6558 3.07962i −0.599930 0.118011i
\(682\) −24.4554 + 42.3580i −0.936445 + 1.62197i
\(683\) 21.4995 + 15.6203i 0.822655 + 0.597694i 0.917472 0.397801i \(-0.130226\pi\)
−0.0948166 + 0.995495i \(0.530226\pi\)
\(684\) 8.33153 + 13.4673i 0.318564 + 0.514933i
\(685\) 31.3379 19.7383i 1.19736 0.754161i
\(686\) 27.2703 + 5.79649i 1.04119 + 0.221311i
\(687\) −13.0689 5.58205i −0.498611 0.212968i
\(688\) 5.93101 1.26068i 0.226118 0.0480628i
\(689\) 0.604171 0.671000i 0.0230171 0.0255631i
\(690\) −0.314196 0.614617i −0.0119612 0.0233981i
\(691\) −22.2009 24.6566i −0.844563 0.937982i 0.154183 0.988042i \(-0.450725\pi\)
−0.998746 + 0.0500602i \(0.984059\pi\)
\(692\) −7.13452 5.18353i −0.271214 0.197048i
\(693\) −12.2388 + 14.4535i −0.464913 + 0.549042i
\(694\) 29.2539 + 21.2542i 1.11046 + 0.806799i
\(695\) −23.2754 29.5726i −0.882886 1.12175i
\(696\) −3.55124 + 6.37286i −0.134609 + 0.241563i
\(697\) 10.6465 + 4.74011i 0.403263 + 0.179544i
\(698\) 12.3447 13.7102i 0.467253 0.518938i
\(699\) −11.7354 8.25650i −0.443874 0.312290i
\(700\) −5.10659 + 1.50390i −0.193011 + 0.0568419i
\(701\) 26.1441 0.987451 0.493725 0.869618i \(-0.335635\pi\)
0.493725 + 0.869618i \(0.335635\pi\)
\(702\) −5.86239 + 0.267703i −0.221261 + 0.0101038i
\(703\) −15.9674 + 11.6010i −0.602223 + 0.437540i
\(704\) −1.44069 13.7073i −0.0542981 0.516612i
\(705\) −45.7608 2.33703i −1.72345 0.0880178i
\(706\) 0.881738 8.38918i 0.0331846 0.315731i
\(707\) 8.47791 + 14.6842i 0.318845 + 0.552255i
\(708\) 2.25722 + 0.444015i 0.0848316 + 0.0166871i
\(709\) 26.7119 + 29.6666i 1.00319 + 1.11415i 0.993458 + 0.114201i \(0.0364306\pi\)
0.00973033 + 0.999953i \(0.496903\pi\)
\(710\) −12.3649 48.8483i −0.464048 1.83324i
\(711\) 3.62892 + 26.6890i 0.136095 + 1.00092i
\(712\) 4.78661 14.7317i 0.179386 0.552093i
\(713\) 0.463608 + 0.514888i 0.0173622 + 0.0192827i
\(714\) −8.36470 + 1.91140i −0.313041 + 0.0715322i
\(715\) −1.17449 + 6.80306i −0.0439236 + 0.254420i
\(716\) −3.68398 + 0.783055i −0.137677 + 0.0292641i
\(717\) 1.22946 1.40794i 0.0459149 0.0525805i
\(718\) −25.4766 + 44.1267i −0.950777 + 1.64679i
\(719\) 32.4317 + 23.5630i 1.20950 + 0.878751i 0.995185 0.0980142i \(-0.0312491\pi\)
0.214312 + 0.976765i \(0.431249\pi\)
\(720\) 27.5214 18.5270i 1.02566 0.690462i
\(721\) −0.953688 + 0.692895i −0.0355172 + 0.0258048i
\(722\) 4.93444 + 46.9481i 0.183641 + 1.74723i
\(723\) −29.5739 31.8570i −1.09986 1.18477i
\(724\) −0.801787 1.38874i −0.0297982 0.0516120i
\(725\) −2.41263 + 9.98006i −0.0896029 + 0.370650i
\(726\) 22.8031 + 16.0432i 0.846301 + 0.595419i
\(727\) 34.5304 + 7.33967i 1.28066 + 0.272213i 0.797501 0.603318i \(-0.206155\pi\)
0.483162 + 0.875531i \(0.339488\pi\)
\(728\) 1.56422 1.13647i 0.0579738 0.0421204i
\(729\) 26.8876 2.46075i 0.995838 0.0911390i
\(730\) 21.9886 + 1.45860i 0.813835 + 0.0539852i
\(731\) 2.40262 1.06972i 0.0888641 0.0395649i
\(732\) 4.10108 + 2.88534i 0.151580 + 0.106645i
\(733\) −0.702668 + 6.68544i −0.0259536 + 0.246932i 0.973851 + 0.227186i \(0.0729525\pi\)
−0.999805 + 0.0197463i \(0.993714\pi\)
\(734\) −25.9980 + 5.52604i −0.959603 + 0.203970i
\(735\) −18.3316 + 7.06491i −0.676172 + 0.260593i
\(736\) 0.432244 + 0.0918764i 0.0159327 + 0.00338661i
\(737\) −19.9773 + 61.4839i −0.735874 + 2.26479i
\(738\) −27.0979 + 0.824624i −0.997488 + 0.0303548i
\(739\) −3.30815 10.1814i −0.121692 0.374530i 0.871592 0.490233i \(-0.163088\pi\)
−0.993284 + 0.115702i \(0.963088\pi\)
\(740\) −3.04102 3.86376i −0.111790 0.142035i
\(741\) −7.44419 3.17959i −0.273469 0.116805i
\(742\) −0.321012 + 3.05423i −0.0117847 + 0.112124i
\(743\) −10.6028 18.3647i −0.388981 0.673735i 0.603332 0.797490i \(-0.293839\pi\)
−0.992313 + 0.123756i \(0.960506\pi\)
\(744\) −15.1106 + 17.3043i −0.553982 + 0.634405i
\(745\) 33.4912 12.3256i 1.22702 0.451575i
\(746\) 15.1586 11.0133i 0.554995 0.403227i
\(747\) 49.0058 23.6303i 1.79303 0.864586i
\(748\) 2.31161 + 7.11441i 0.0845209 + 0.260129i
\(749\) 13.2422 22.9361i 0.483858 0.838067i
\(750\) 20.9256 24.4888i 0.764096 0.894204i
\(751\) −24.6961 42.7750i −0.901175 1.56088i −0.825971 0.563713i \(-0.809372\pi\)
−0.0752042 0.997168i \(-0.523961\pi\)
\(752\) 39.1515 43.4822i 1.42771 1.58563i
\(753\) −40.1616 + 0.610943i −1.46357 + 0.0222640i
\(754\) 0.242424 + 2.30651i 0.00882857 + 0.0839982i
\(755\) −14.4581 12.0439i −0.526184 0.438324i
\(756\) 4.32271 3.45257i 0.157215 0.125569i
\(757\) −31.2549 −1.13598 −0.567989 0.823036i \(-0.692279\pi\)
−0.567989 + 0.823036i \(0.692279\pi\)
\(758\) −33.6210 + 14.9690i −1.22117 + 0.543700i
\(759\) 0.675098 0.506353i 0.0245045 0.0183795i
\(760\) 31.2473 4.50552i 1.13346 0.163432i
\(761\) −19.3977 + 21.5434i −0.703168 + 0.780947i −0.983877 0.178846i \(-0.942764\pi\)
0.280709 + 0.959793i \(0.409430\pi\)
\(762\) 7.64820 + 63.4658i 0.277065 + 2.29912i
\(763\) −12.1756 13.5224i −0.440786 0.489543i
\(764\) 2.43370 + 7.49016i 0.0880482 + 0.270985i
\(765\) 10.0055 10.3422i 0.361751 0.373924i
\(766\) −3.25185 + 10.0082i −0.117494 + 0.361610i
\(767\) −1.07425 + 0.478289i −0.0387891 + 0.0172700i
\(768\) −2.48420 + 27.6796i −0.0896409 + 0.998800i
\(769\) −3.56272 + 33.8970i −0.128475 + 1.22236i 0.720322 + 0.693640i \(0.243994\pi\)
−0.848797 + 0.528719i \(0.822673\pi\)
\(770\) −10.3689 21.0678i −0.373668 0.759230i