Properties

Label 144.2.u.a.83.8
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.8
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.725676 + 1.21383i) q^{2} +(1.33407 - 1.10465i) q^{3} +(-0.946789 - 1.76170i) q^{4} +(0.178044 - 0.664471i) q^{5} +(0.372762 + 2.42096i) q^{6} +(0.645693 - 1.11837i) q^{7} +(2.82548 + 0.129179i) q^{8} +(0.559489 - 2.94737i) q^{9} +O(q^{10})\) \(q+(-0.725676 + 1.21383i) q^{2} +(1.33407 - 1.10465i) q^{3} +(-0.946789 - 1.76170i) q^{4} +(0.178044 - 0.664471i) q^{5} +(0.372762 + 2.42096i) q^{6} +(0.645693 - 1.11837i) q^{7} +(2.82548 + 0.129179i) q^{8} +(0.559489 - 2.94737i) q^{9} +(0.677355 + 0.698307i) q^{10} +(0.860301 + 3.21069i) q^{11} +(-3.20915 - 1.30436i) q^{12} +(1.27203 - 4.74727i) q^{13} +(0.888956 + 1.59534i) q^{14} +(-0.496485 - 1.08313i) q^{15} +(-2.20718 + 3.33592i) q^{16} +5.58523i q^{17} +(3.17161 + 2.81796i) q^{18} +(-2.49649 + 2.49649i) q^{19} +(-1.33917 + 0.315453i) q^{20} +(-0.374013 - 2.20525i) q^{21} +(-4.52154 - 1.28565i) q^{22} +(-2.36529 + 1.36560i) q^{23} +(3.91208 - 2.94883i) q^{24} +(3.92031 + 2.26339i) q^{25} +(4.83933 + 4.98901i) q^{26} +(-2.50942 - 4.55004i) q^{27} +(-2.58157 - 0.0786549i) q^{28} +(-0.792277 - 2.95682i) q^{29} +(1.67503 + 0.183349i) q^{30} +(-5.28160 + 3.04933i) q^{31} +(-2.44755 - 5.09995i) q^{32} +(4.69439 + 3.33295i) q^{33} +(-6.77954 - 4.05307i) q^{34} +(-0.628165 - 0.628165i) q^{35} +(-5.72210 + 1.80488i) q^{36} +(0.507420 - 0.507420i) q^{37} +(-1.21868 - 4.84196i) q^{38} +(-3.54711 - 7.73835i) q^{39} +(0.588896 - 1.85445i) q^{40} +(-4.89892 - 8.48518i) q^{41} +(2.94823 + 1.14631i) q^{42} +(-0.949956 + 0.254540i) q^{43} +(4.84175 - 4.55544i) q^{44} +(-1.85883 - 0.896527i) q^{45} +(0.0588204 - 3.86205i) q^{46} +(-6.13774 + 10.6309i) q^{47} +(0.740492 + 6.88852i) q^{48} +(2.66616 + 4.61793i) q^{49} +(-5.59225 + 3.11611i) q^{50} +(6.16973 + 7.45109i) q^{51} +(-9.56762 + 2.25373i) q^{52} +(0.601793 + 0.601793i) q^{53} +(7.34401 + 0.255835i) q^{54} +2.28658 q^{55} +(1.96886 - 3.07653i) q^{56} +(-0.572741 + 6.08824i) q^{57} +(4.16402 + 1.18400i) q^{58} +(4.77715 + 1.28003i) q^{59} +(-1.43808 + 1.90015i) q^{60} +(10.8292 - 2.90167i) q^{61} +(0.131344 - 8.62382i) q^{62} +(-2.93500 - 2.52881i) q^{63} +(7.96663 + 0.729984i) q^{64} +(-2.92795 - 1.69045i) q^{65} +(-7.45226 + 3.27957i) q^{66} +(0.110351 + 0.0295686i) q^{67} +(9.83950 - 5.28803i) q^{68} +(-1.64695 + 4.43463i) q^{69} +(1.21833 - 0.306644i) q^{70} -0.0447904i q^{71} +(1.96156 - 8.25544i) q^{72} +13.2931i q^{73} +(0.247701 + 0.984146i) q^{74} +(7.73022 - 1.31105i) q^{75} +(6.76171 + 2.03442i) q^{76} +(4.14624 + 1.11098i) q^{77} +(11.9671 + 1.30993i) q^{78} +(-2.50052 - 1.44368i) q^{79} +(1.82364 + 2.06055i) q^{80} +(-8.37394 - 3.29804i) q^{81} +(13.8546 + 0.211011i) q^{82} +(3.79568 - 1.01705i) q^{83} +(-3.53089 + 2.74681i) q^{84} +(3.71122 + 0.994419i) q^{85} +(0.380391 - 1.33780i) q^{86} +(-4.32321 - 3.06941i) q^{87} +(2.01601 + 9.18285i) q^{88} -12.7362 q^{89} +(2.43714 - 1.60572i) q^{90} +(-4.48788 - 4.48788i) q^{91} +(4.64521 + 2.87400i) q^{92} +(-3.67758 + 9.90236i) q^{93} +(-8.45011 - 15.1648i) q^{94} +(1.21436 + 2.10333i) q^{95} +(-8.89888 - 4.10000i) q^{96} +(4.41066 - 7.63949i) q^{97} +(-7.54017 - 0.114840i) q^{98} +(9.94440 - 0.739279i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.725676 + 1.21383i −0.513130 + 0.858311i
\(3\) 1.33407 1.10465i 0.770226 0.637771i
\(4\) −0.946789 1.76170i −0.473394 0.880851i
\(5\) 0.178044 0.664471i 0.0796239 0.297161i −0.914618 0.404319i \(-0.867509\pi\)
0.994242 + 0.107158i \(0.0341752\pi\)
\(6\) 0.372762 + 2.42096i 0.152179 + 0.988353i
\(7\) 0.645693 1.11837i 0.244049 0.422705i −0.717815 0.696234i \(-0.754858\pi\)
0.961864 + 0.273529i \(0.0881909\pi\)
\(8\) 2.82548 + 0.129179i 0.998957 + 0.0456717i
\(9\) 0.559489 2.94737i 0.186496 0.982456i
\(10\) 0.677355 + 0.698307i 0.214199 + 0.220824i
\(11\) 0.860301 + 3.21069i 0.259390 + 0.968058i 0.965595 + 0.260051i \(0.0837392\pi\)
−0.706205 + 0.708008i \(0.749594\pi\)
\(12\) −3.20915 1.30436i −0.926402 0.376537i
\(13\) 1.27203 4.74727i 0.352797 1.31666i −0.530437 0.847725i \(-0.677972\pi\)
0.883234 0.468933i \(-0.155361\pi\)
\(14\) 0.888956 + 1.59534i 0.237584 + 0.426373i
\(15\) −0.496485 1.08313i −0.128192 0.279663i
\(16\) −2.20718 + 3.33592i −0.551795 + 0.833980i
\(17\) 5.58523i 1.35462i 0.735699 + 0.677308i \(0.236854\pi\)
−0.735699 + 0.677308i \(0.763146\pi\)
\(18\) 3.17161 + 2.81796i 0.747555 + 0.664200i
\(19\) −2.49649 + 2.49649i −0.572733 + 0.572733i −0.932891 0.360158i \(-0.882723\pi\)
0.360158 + 0.932891i \(0.382723\pi\)
\(20\) −1.33917 + 0.315453i −0.299448 + 0.0705374i
\(21\) −0.374013 2.20525i −0.0816163 0.481226i
\(22\) −4.52154 1.28565i −0.963996 0.274103i
\(23\) −2.36529 + 1.36560i −0.493197 + 0.284747i −0.725900 0.687801i \(-0.758576\pi\)
0.232703 + 0.972548i \(0.425243\pi\)
\(24\) 3.91208 2.94883i 0.798550 0.601928i
\(25\) 3.92031 + 2.26339i 0.784061 + 0.452678i
\(26\) 4.83933 + 4.98901i 0.949070 + 0.978426i
\(27\) −2.50942 4.55004i −0.482937 0.875655i
\(28\) −2.58157 0.0786549i −0.487872 0.0148644i
\(29\) −0.792277 2.95682i −0.147122 0.549067i −0.999652 0.0263884i \(-0.991599\pi\)
0.852530 0.522679i \(-0.175067\pi\)
\(30\) 1.67503 + 0.183349i 0.305817 + 0.0334749i
\(31\) −5.28160 + 3.04933i −0.948604 + 0.547677i −0.892647 0.450757i \(-0.851154\pi\)
−0.0559568 + 0.998433i \(0.517821\pi\)
\(32\) −2.44755 5.09995i −0.432671 0.901552i
\(33\) 4.69439 + 3.33295i 0.817189 + 0.580192i
\(34\) −6.77954 4.05307i −1.16268 0.695095i
\(35\) −0.628165 0.628165i −0.106179 0.106179i
\(36\) −5.72210 + 1.80488i −0.953683 + 0.300814i
\(37\) 0.507420 0.507420i 0.0834193 0.0834193i −0.664166 0.747585i \(-0.731213\pi\)
0.747585 + 0.664166i \(0.231213\pi\)
\(38\) −1.21868 4.84196i −0.197696 0.785470i
\(39\) −3.54711 7.73835i −0.567992 1.23913i
\(40\) 0.588896 1.85445i 0.0931127 0.293214i
\(41\) −4.89892 8.48518i −0.765083 1.32516i −0.940203 0.340616i \(-0.889365\pi\)
0.175120 0.984547i \(-0.443969\pi\)
\(42\) 2.94823 + 1.14631i 0.454921 + 0.176880i
\(43\) −0.949956 + 0.254540i −0.144867 + 0.0388170i −0.330524 0.943798i \(-0.607225\pi\)
0.185657 + 0.982615i \(0.440559\pi\)
\(44\) 4.84175 4.55544i 0.729921 0.686758i
\(45\) −1.85883 0.896527i −0.277097 0.133646i
\(46\) 0.0588204 3.86205i 0.00867260 0.569428i
\(47\) −6.13774 + 10.6309i −0.895281 + 1.55067i −0.0618250 + 0.998087i \(0.519692\pi\)
−0.833456 + 0.552586i \(0.813641\pi\)
\(48\) 0.740492 + 6.88852i 0.106881 + 0.994272i
\(49\) 2.66616 + 4.61793i 0.380880 + 0.659704i
\(50\) −5.59225 + 3.11611i −0.790864 + 0.440685i
\(51\) 6.16973 + 7.45109i 0.863935 + 1.04336i
\(52\) −9.56762 + 2.25373i −1.32679 + 0.312537i
\(53\) 0.601793 + 0.601793i 0.0826626 + 0.0826626i 0.747229 0.664567i \(-0.231384\pi\)
−0.664567 + 0.747229i \(0.731384\pi\)
\(54\) 7.34401 + 0.255835i 0.999394 + 0.0348147i
\(55\) 2.28658 0.308322
\(56\) 1.96886 3.07653i 0.263100 0.411118i
\(57\) −0.572741 + 6.08824i −0.0758614 + 0.806407i
\(58\) 4.16402 + 1.18400i 0.546763 + 0.155467i
\(59\) 4.77715 + 1.28003i 0.621932 + 0.166646i 0.556006 0.831178i \(-0.312333\pi\)
0.0659263 + 0.997824i \(0.479000\pi\)
\(60\) −1.43808 + 1.90015i −0.185656 + 0.245309i
\(61\) 10.8292 2.90167i 1.38653 0.371520i 0.513043 0.858363i \(-0.328518\pi\)
0.873490 + 0.486842i \(0.161851\pi\)
\(62\) 0.131344 8.62382i 0.0166807 1.09523i
\(63\) −2.93500 2.52881i −0.369775 0.318600i
\(64\) 7.96663 + 0.729984i 0.995828 + 0.0912480i
\(65\) −2.92795 1.69045i −0.363167 0.209675i
\(66\) −7.45226 + 3.27957i −0.917309 + 0.403688i
\(67\) 0.110351 + 0.0295686i 0.0134816 + 0.00361238i 0.265554 0.964096i \(-0.414445\pi\)
−0.252072 + 0.967708i \(0.581112\pi\)
\(68\) 9.83950 5.28803i 1.19321 0.641268i
\(69\) −1.64695 + 4.43463i −0.198269 + 0.533866i
\(70\) 1.21833 0.306644i 0.145619 0.0366510i
\(71\) 0.0447904i 0.00531565i −0.999996 0.00265782i \(-0.999154\pi\)
0.999996 0.00265782i \(-0.000846013\pi\)
\(72\) 1.96156 8.25544i 0.231172 0.972913i
\(73\) 13.2931i 1.55585i 0.628360 + 0.777923i \(0.283726\pi\)
−0.628360 + 0.777923i \(0.716274\pi\)
\(74\) 0.247701 + 0.984146i 0.0287947 + 0.114405i
\(75\) 7.73022 1.31105i 0.892609 0.151387i
\(76\) 6.76171 + 2.03442i 0.775621 + 0.233364i
\(77\) 4.14624 + 1.11098i 0.472507 + 0.126608i
\(78\) 11.9671 + 1.30993i 1.35501 + 0.148320i
\(79\) −2.50052 1.44368i −0.281331 0.162426i 0.352695 0.935738i \(-0.385265\pi\)
−0.634026 + 0.773312i \(0.718599\pi\)
\(80\) 1.82364 + 2.06055i 0.203890 + 0.230377i
\(81\) −8.37394 3.29804i −0.930438 0.366449i
\(82\) 13.8546 + 0.211011i 1.52999 + 0.0233023i
\(83\) 3.79568 1.01705i 0.416630 0.111636i −0.0444135 0.999013i \(-0.514142\pi\)
0.461043 + 0.887378i \(0.347475\pi\)
\(84\) −3.53089 + 2.74681i −0.385252 + 0.299701i
\(85\) 3.71122 + 0.994419i 0.402539 + 0.107860i
\(86\) 0.380391 1.33780i 0.0410186 0.144259i
\(87\) −4.32321 3.06941i −0.463497 0.329076i
\(88\) 2.01601 + 9.18285i 0.214907 + 0.978895i
\(89\) −12.7362 −1.35003 −0.675017 0.737802i \(-0.735864\pi\)
−0.675017 + 0.737802i \(0.735864\pi\)
\(90\) 2.43714 1.60572i 0.256897 0.169258i
\(91\) −4.48788 4.48788i −0.470458 0.470458i
\(92\) 4.64521 + 2.87400i 0.484296 + 0.299635i
\(93\) −3.67758 + 9.90236i −0.381347 + 1.02683i
\(94\) −8.45011 15.1648i −0.871563 1.56413i
\(95\) 1.21436 + 2.10333i 0.124590 + 0.215797i
\(96\) −8.89888 4.10000i −0.908238 0.418454i
\(97\) 4.41066 7.63949i 0.447835 0.775673i −0.550410 0.834895i \(-0.685529\pi\)
0.998245 + 0.0592215i \(0.0188618\pi\)
\(98\) −7.54017 0.114840i −0.761672 0.0116005i
\(99\) 9.94440 0.739279i 0.999450 0.0743004i
\(100\) 0.275714 9.04936i 0.0275714 0.904936i
\(101\) −7.02523 + 1.88240i −0.699037 + 0.187306i −0.590799 0.806819i \(-0.701187\pi\)
−0.108238 + 0.994125i \(0.534521\pi\)
\(102\) −13.5216 + 2.08196i −1.33884 + 0.206145i
\(103\) 9.50698 + 16.4666i 0.936750 + 1.62250i 0.771483 + 0.636250i \(0.219515\pi\)
0.165267 + 0.986249i \(0.447151\pi\)
\(104\) 4.20733 13.2490i 0.412563 1.29917i
\(105\) −1.53192 0.144113i −0.149500 0.0140640i
\(106\) −1.16718 + 0.293770i −0.113367 + 0.0285335i
\(107\) 8.28797 8.28797i 0.801228 0.801228i −0.182060 0.983287i \(-0.558276\pi\)
0.983287 + 0.182060i \(0.0582764\pi\)
\(108\) −5.63992 + 8.72877i −0.542701 + 0.839926i
\(109\) −14.3799 14.3799i −1.37735 1.37735i −0.849074 0.528273i \(-0.822840\pi\)
−0.528273 0.849074i \(-0.677160\pi\)
\(110\) −1.65932 + 2.77553i −0.158210 + 0.264636i
\(111\) 0.116412 1.23746i 0.0110493 0.117454i
\(112\) 2.30564 + 4.62243i 0.217862 + 0.436779i
\(113\) −2.18778 + 1.26312i −0.205809 + 0.118824i −0.599362 0.800478i \(-0.704579\pi\)
0.393553 + 0.919302i \(0.371246\pi\)
\(114\) −6.97449 5.11330i −0.653221 0.478904i
\(115\) 0.486275 + 1.81480i 0.0453454 + 0.169231i
\(116\) −4.45891 + 4.19524i −0.413999 + 0.389518i
\(117\) −13.2803 6.40518i −1.22776 0.592159i
\(118\) −5.02042 + 4.86978i −0.462167 + 0.448300i
\(119\) 6.24637 + 3.60634i 0.572604 + 0.330593i
\(120\) −1.26289 3.12449i −0.115286 0.285226i
\(121\) −0.0421101 + 0.0243123i −0.00382819 + 0.00221021i
\(122\) −4.33632 + 15.2505i −0.392592 + 1.38071i
\(123\) −15.9087 5.90823i −1.43444 0.532727i
\(124\) 10.3726 + 6.41753i 0.931485 + 0.576311i
\(125\) 4.63408 4.63408i 0.414485 0.414485i
\(126\) 5.19942 1.72750i 0.463201 0.153898i
\(127\) 17.5157i 1.55427i −0.629333 0.777135i \(-0.716672\pi\)
0.629333 0.777135i \(-0.283328\pi\)
\(128\) −6.66727 + 9.14043i −0.589309 + 0.807908i
\(129\) −0.986131 + 1.38895i −0.0868240 + 0.122290i
\(130\) 4.17667 2.32733i 0.366318 0.204120i
\(131\) 3.21241 11.9889i 0.280669 1.04747i −0.671277 0.741207i \(-0.734254\pi\)
0.951946 0.306266i \(-0.0990796\pi\)
\(132\) 1.42706 11.4257i 0.124210 0.994481i
\(133\) 1.18004 + 4.40397i 0.102322 + 0.381872i
\(134\) −0.115971 + 0.112491i −0.0100183 + 0.00971776i
\(135\) −3.47016 + 0.857326i −0.298663 + 0.0737869i
\(136\) −0.721494 + 15.7809i −0.0618676 + 1.35320i
\(137\) 5.00063 8.66134i 0.427232 0.739988i −0.569394 0.822065i \(-0.692822\pi\)
0.996626 + 0.0820768i \(0.0261553\pi\)
\(138\) −4.18775 5.21722i −0.356485 0.444120i
\(139\) −0.368654 + 1.37583i −0.0312688 + 0.116697i −0.979796 0.199998i \(-0.935906\pi\)
0.948528 + 0.316695i \(0.102573\pi\)
\(140\) −0.511899 + 1.70138i −0.0432634 + 0.143793i
\(141\) 3.55524 + 20.9624i 0.299405 + 1.76535i
\(142\) 0.0543682 + 0.0325034i 0.00456248 + 0.00272762i
\(143\) 16.3363 1.36611
\(144\) 8.59728 + 8.37178i 0.716440 + 0.697649i
\(145\) −2.10578 −0.174876
\(146\) −16.1357 9.64652i −1.33540 0.798352i
\(147\) 8.65805 + 3.21546i 0.714104 + 0.265207i
\(148\) −1.37434 0.413503i −0.112970 0.0339897i
\(149\) 1.48172 5.52986i 0.121387 0.453024i −0.878298 0.478114i \(-0.841321\pi\)
0.999685 + 0.0250901i \(0.00798725\pi\)
\(150\) −4.01824 + 10.3346i −0.328088 + 0.843817i
\(151\) 8.10127 14.0318i 0.659272 1.14189i −0.321533 0.946899i \(-0.604198\pi\)
0.980804 0.194994i \(-0.0624687\pi\)
\(152\) −7.37625 + 6.73127i −0.598293 + 0.545978i
\(153\) 16.4617 + 3.12487i 1.33085 + 0.252631i
\(154\) −4.35737 + 4.22663i −0.351127 + 0.340592i
\(155\) 1.08583 + 4.05239i 0.0872163 + 0.325496i
\(156\) −10.2743 + 13.5755i −0.822602 + 1.08691i
\(157\) −2.02762 + 7.56718i −0.161822 + 0.603927i 0.836602 + 0.547810i \(0.184538\pi\)
−0.998424 + 0.0561165i \(0.982128\pi\)
\(158\) 3.56695 1.98758i 0.283772 0.158123i
\(159\) 1.46761 + 0.138063i 0.116389 + 0.0109491i
\(160\) −3.82454 + 0.718311i −0.302357 + 0.0567875i
\(161\) 3.52703i 0.277969i
\(162\) 10.0800 7.77128i 0.791963 0.610569i
\(163\) −4.89763 + 4.89763i −0.383612 + 0.383612i −0.872402 0.488789i \(-0.837439\pi\)
0.488789 + 0.872402i \(0.337439\pi\)
\(164\) −10.3101 + 16.6641i −0.805084 + 1.30125i
\(165\) 3.05046 2.52587i 0.237478 0.196639i
\(166\) −1.51990 + 5.34537i −0.117967 + 0.414882i
\(167\) −18.7832 + 10.8445i −1.45349 + 0.839174i −0.998677 0.0514129i \(-0.983628\pi\)
−0.454814 + 0.890587i \(0.650294\pi\)
\(168\) −0.771891 6.27921i −0.0595527 0.484451i
\(169\) −9.66023 5.57734i −0.743095 0.429026i
\(170\) −3.90021 + 3.78318i −0.299132 + 0.290157i
\(171\) 5.96130 + 8.75482i 0.455872 + 0.669497i
\(172\) 1.34783 + 1.43254i 0.102771 + 0.109230i
\(173\) −2.05946 7.68601i −0.156578 0.584356i −0.998965 0.0454836i \(-0.985517\pi\)
0.842387 0.538873i \(-0.181150\pi\)
\(174\) 6.86301 3.02026i 0.520283 0.228965i
\(175\) 5.06263 2.92291i 0.382699 0.220951i
\(176\) −12.6094 4.21668i −0.950471 0.317844i
\(177\) 7.78705 3.56944i 0.585311 0.268295i
\(178\) 9.24236 15.4596i 0.692744 1.15875i
\(179\) −9.47991 9.47991i −0.708562 0.708562i 0.257671 0.966233i \(-0.417045\pi\)
−0.966233 + 0.257671i \(0.917045\pi\)
\(180\) 0.180504 + 4.12352i 0.0134540 + 0.307349i
\(181\) 8.00075 8.00075i 0.594691 0.594691i −0.344204 0.938895i \(-0.611851\pi\)
0.938895 + 0.344204i \(0.111851\pi\)
\(182\) 8.70430 2.19080i 0.645206 0.162393i
\(183\) 11.2415 15.8335i 0.830999 1.17045i
\(184\) −6.85947 + 3.55292i −0.505687 + 0.261925i
\(185\) −0.246822 0.427509i −0.0181467 0.0314311i
\(186\) −9.35110 11.6499i −0.685656 0.854210i
\(187\) −17.9324 + 4.80498i −1.31135 + 0.351375i
\(188\) 24.5396 + 0.747667i 1.78973 + 0.0545292i
\(189\) −6.70895 0.131462i −0.488004 0.00956248i
\(190\) −3.43432 0.0523060i −0.249152 0.00379468i
\(191\) 9.22986 15.9866i 0.667850 1.15675i −0.310655 0.950523i \(-0.600548\pi\)
0.978504 0.206227i \(-0.0661184\pi\)
\(192\) 11.4344 7.82650i 0.825208 0.564829i
\(193\) 2.61643 + 4.53179i 0.188335 + 0.326205i 0.944695 0.327950i \(-0.106358\pi\)
−0.756360 + 0.654155i \(0.773024\pi\)
\(194\) 6.07237 + 10.8976i 0.435971 + 0.782403i
\(195\) −5.77345 + 0.979182i −0.413445 + 0.0701207i
\(196\) 5.61111 9.06918i 0.400794 0.647799i
\(197\) 14.3573 + 14.3573i 1.02292 + 1.02292i 0.999731 + 0.0231869i \(0.00738128\pi\)
0.0231869 + 0.999731i \(0.492619\pi\)
\(198\) −6.31905 + 12.6073i −0.449075 + 0.895964i
\(199\) −13.8358 −0.980797 −0.490399 0.871498i \(-0.663149\pi\)
−0.490399 + 0.871498i \(0.663149\pi\)
\(200\) 10.7843 + 6.90157i 0.762568 + 0.488015i
\(201\) 0.179880 0.0824533i 0.0126877 0.00581581i
\(202\) 2.81311 9.89348i 0.197930 0.696103i
\(203\) −3.81839 1.02314i −0.267999 0.0718100i
\(204\) 7.28516 17.9238i 0.510063 1.25492i
\(205\) −6.51038 + 1.74445i −0.454705 + 0.121838i
\(206\) −26.8867 0.409494i −1.87328 0.0285308i
\(207\) 2.70157 + 7.73541i 0.187772 + 0.537648i
\(208\) 13.0289 + 14.7215i 0.903393 + 1.02075i
\(209\) −10.1632 5.86770i −0.703001 0.405878i
\(210\) 1.28661 1.75492i 0.0887842 0.121101i
\(211\) −25.6481 6.87239i −1.76569 0.473115i −0.777831 0.628473i \(-0.783680\pi\)
−0.987858 + 0.155358i \(0.950347\pi\)
\(212\) 0.490408 1.62995i 0.0336814 0.111945i
\(213\) −0.0494778 0.0597536i −0.00339017 0.00409425i
\(214\) 4.04584 + 16.0746i 0.276568 + 1.09884i
\(215\) 0.676538i 0.0461395i
\(216\) −6.50253 13.1802i −0.442441 0.896798i
\(217\) 7.87574i 0.534640i
\(218\) 27.8900 7.01969i 1.88895 0.475433i
\(219\) 14.6843 + 17.7340i 0.992273 + 1.19835i
\(220\) −2.16491 4.02827i −0.145958 0.271586i
\(221\) 26.5146 + 7.10457i 1.78357 + 0.477905i
\(222\) 1.41759 + 1.03930i 0.0951424 + 0.0697530i
\(223\) 2.77266 + 1.60079i 0.185671 + 0.107197i 0.589954 0.807437i \(-0.299146\pi\)
−0.404284 + 0.914634i \(0.632479\pi\)
\(224\) −7.28401 0.555723i −0.486684 0.0371308i
\(225\) 8.86441 10.2882i 0.590960 0.685882i
\(226\) 0.0544063 3.57222i 0.00361905 0.237621i
\(227\) 2.78291 0.745680i 0.184708 0.0494925i −0.165279 0.986247i \(-0.552852\pi\)
0.349988 + 0.936754i \(0.386186\pi\)
\(228\) 11.2679 4.75528i 0.746236 0.314926i
\(229\) −17.6277 4.72334i −1.16487 0.312127i −0.375963 0.926635i \(-0.622688\pi\)
−0.788911 + 0.614508i \(0.789355\pi\)
\(230\) −2.55575 0.726701i −0.168521 0.0479173i
\(231\) 6.75862 3.09802i 0.444684 0.203835i
\(232\) −1.85660 8.45676i −0.121892 0.555214i
\(233\) 6.00585 0.393456 0.196728 0.980458i \(-0.436968\pi\)
0.196728 + 0.980458i \(0.436968\pi\)
\(234\) 17.4120 11.4720i 1.13826 0.749946i
\(235\) 5.97112 + 5.97112i 0.389513 + 0.389513i
\(236\) −2.26792 9.62784i −0.147629 0.626719i
\(237\) −4.93063 + 0.836239i −0.320279 + 0.0543196i
\(238\) −8.91034 + 4.96502i −0.577572 + 0.321835i
\(239\) 6.00788 + 10.4059i 0.388617 + 0.673105i 0.992264 0.124147i \(-0.0396195\pi\)
−0.603647 + 0.797252i \(0.706286\pi\)
\(240\) 4.70906 + 0.734427i 0.303969 + 0.0474071i
\(241\) 1.51923 2.63138i 0.0978622 0.169502i −0.812937 0.582351i \(-0.802133\pi\)
0.910800 + 0.412849i \(0.135466\pi\)
\(242\) 0.00104720 0.0687575i 6.73167e−5 0.00441990i
\(243\) −14.8146 + 4.85048i −0.950358 + 0.311158i
\(244\) −15.3648 16.3305i −0.983631 1.04545i
\(245\) 3.54317 0.949391i 0.226365 0.0606543i
\(246\) 18.7162 15.0230i 1.19330 0.957834i
\(247\) 8.67590 + 15.0271i 0.552034 + 0.956152i
\(248\) −15.3169 + 7.93355i −0.972627 + 0.503781i
\(249\) 3.94022 5.54972i 0.249701 0.351699i
\(250\) 2.26217 + 8.98784i 0.143072 + 0.568441i
\(251\) 2.95387 2.95387i 0.186447 0.186447i −0.607711 0.794158i \(-0.707912\pi\)
0.794158 + 0.607711i \(0.207912\pi\)
\(252\) −1.67619 + 7.56484i −0.105590 + 0.476540i
\(253\) −6.41937 6.41937i −0.403582 0.403582i
\(254\) 21.2612 + 12.7108i 1.33405 + 0.797544i
\(255\) 6.04952 2.77298i 0.378836 0.173651i
\(256\) −6.25670 14.7260i −0.391044 0.920372i
\(257\) 1.67398 0.966474i 0.104420 0.0602870i −0.446880 0.894594i \(-0.647465\pi\)
0.551301 + 0.834307i \(0.314132\pi\)
\(258\) −0.970339 2.20492i −0.0604106 0.137273i
\(259\) −0.239847 0.895122i −0.0149034 0.0556202i
\(260\) −0.205922 + 6.75867i −0.0127707 + 0.419155i
\(261\) −9.15810 + 0.680824i −0.566872 + 0.0421420i
\(262\) 12.2213 + 12.5994i 0.755037 + 0.778392i
\(263\) −1.51993 0.877533i −0.0937230 0.0541110i 0.452406 0.891812i \(-0.350566\pi\)
−0.546129 + 0.837701i \(0.683899\pi\)
\(264\) 12.8333 + 10.0236i 0.789838 + 0.616909i
\(265\) 0.507020 0.292728i 0.0311460 0.0179821i
\(266\) −6.20201 1.76348i −0.380270 0.108126i
\(267\) −16.9910 + 14.0691i −1.03983 + 0.861013i
\(268\) −0.0523885 0.222401i −0.00320014 0.0135853i
\(269\) −14.2013 + 14.2013i −0.865871 + 0.865871i −0.992012 0.126141i \(-0.959741\pi\)
0.126141 + 0.992012i \(0.459741\pi\)
\(270\) 1.47756 4.83434i 0.0899212 0.294208i
\(271\) 11.3712i 0.690754i 0.938464 + 0.345377i \(0.112249\pi\)
−0.938464 + 0.345377i \(0.887751\pi\)
\(272\) −18.6319 12.3276i −1.12972 0.747471i
\(273\) −10.9447 1.02961i −0.662404 0.0623145i
\(274\) 6.88460 + 12.3553i 0.415914 + 0.746409i
\(275\) −3.89439 + 14.5341i −0.234841 + 0.876437i
\(276\) 9.37180 1.29722i 0.564116 0.0780836i
\(277\) 1.81439 + 6.77138i 0.109016 + 0.406853i 0.998770 0.0495877i \(-0.0157907\pi\)
−0.889754 + 0.456441i \(0.849124\pi\)
\(278\) −1.40251 1.44589i −0.0841171 0.0867190i
\(279\) 6.03251 + 17.2729i 0.361157 + 1.03410i
\(280\) −1.69372 1.85601i −0.101219 0.110918i
\(281\) 5.16379 8.94395i 0.308046 0.533552i −0.669889 0.742461i \(-0.733658\pi\)
0.977935 + 0.208910i \(0.0669916\pi\)
\(282\) −28.0248 10.8964i −1.66885 0.648874i
\(283\) 6.25018 23.3260i 0.371535 1.38659i −0.486807 0.873509i \(-0.661839\pi\)
0.858342 0.513078i \(-0.171495\pi\)
\(284\) −0.0789074 + 0.0424071i −0.00468229 + 0.00251640i
\(285\) 3.94348 + 1.46455i 0.233592 + 0.0867523i
\(286\) −11.8549 + 19.8296i −0.700994 + 1.17255i
\(287\) −12.6528 −0.746871
\(288\) −16.4008 + 4.36048i −0.966426 + 0.256944i
\(289\) −14.1948 −0.834987
\(290\) 1.52811 2.55607i 0.0897340 0.150098i
\(291\) −2.55484 15.0639i −0.149768 0.883060i
\(292\) 23.4186 12.5858i 1.37047 0.736529i
\(293\) −5.04554 + 18.8302i −0.294763 + 1.10007i 0.646642 + 0.762794i \(0.276173\pi\)
−0.941405 + 0.337278i \(0.890494\pi\)
\(294\) −10.1860 + 8.17606i −0.594058 + 0.476837i
\(295\) 1.70109 2.94638i 0.0990414 0.171545i
\(296\) 1.49925 1.36815i 0.0871421 0.0795224i
\(297\) 12.4499 11.9713i 0.722416 0.694648i
\(298\) 5.63709 + 5.81145i 0.326548 + 0.336648i
\(299\) 3.47416 + 12.9658i 0.200916 + 0.749829i
\(300\) −9.62857 12.3770i −0.555906 0.714589i
\(301\) −0.328709 + 1.22676i −0.0189465 + 0.0707093i
\(302\) 11.1534 + 20.0161i 0.641806 + 1.15180i
\(303\) −7.29275 + 10.2717i −0.418958 + 0.590093i
\(304\) −2.81787 13.8383i −0.161616 0.793679i
\(305\) 7.71230i 0.441605i
\(306\) −15.7390 + 17.7142i −0.899736 + 1.01265i
\(307\) −4.37646 + 4.37646i −0.249778 + 0.249778i −0.820879 0.571101i \(-0.806516\pi\)
0.571101 + 0.820879i \(0.306516\pi\)
\(308\) −1.96839 8.35629i −0.112160 0.476144i
\(309\) 30.8728 + 11.4657i 1.75629 + 0.652259i
\(310\) −5.70689 1.62270i −0.324130 0.0921630i
\(311\) −2.65273 + 1.53155i −0.150423 + 0.0868465i −0.573322 0.819330i \(-0.694346\pi\)
0.422900 + 0.906177i \(0.361012\pi\)
\(312\) −9.02264 22.3227i −0.510806 1.26378i
\(313\) −2.59526 1.49837i −0.146693 0.0846930i 0.424857 0.905260i \(-0.360324\pi\)
−0.571550 + 0.820567i \(0.693658\pi\)
\(314\) −7.71391 7.95252i −0.435321 0.448787i
\(315\) −2.20288 + 1.49998i −0.124118 + 0.0845143i
\(316\) −0.175861 + 5.77203i −0.00989296 + 0.324702i
\(317\) 2.47692 + 9.24401i 0.139118 + 0.519195i 0.999947 + 0.0103009i \(0.00327892\pi\)
−0.860829 + 0.508894i \(0.830054\pi\)
\(318\) −1.23259 + 1.68124i −0.0691203 + 0.0942793i
\(319\) 8.81182 5.08751i 0.493367 0.284846i
\(320\) 1.90347 5.16362i 0.106407 0.288655i
\(321\) 1.90142 20.2120i 0.106127 1.12813i
\(322\) −4.28123 2.55948i −0.238584 0.142634i
\(323\) −13.9434 13.9434i −0.775834 0.775834i
\(324\) 2.11820 + 17.8749i 0.117678 + 0.993052i
\(325\) 15.7317 15.7317i 0.872636 0.872636i
\(326\) −2.39082 9.49901i −0.132415 0.526102i
\(327\) −35.0687 3.29903i −1.93930 0.182437i
\(328\) −12.7457 24.6075i −0.703762 1.35872i
\(329\) 7.92619 + 13.7286i 0.436985 + 0.756880i
\(330\) 0.852349 + 5.53572i 0.0469203 + 0.304731i
\(331\) 14.5870 3.90856i 0.801772 0.214834i 0.165410 0.986225i \(-0.447105\pi\)
0.636362 + 0.771391i \(0.280439\pi\)
\(332\) −5.38544 5.72392i −0.295565 0.314141i
\(333\) −1.21166 1.77945i −0.0663984 0.0975131i
\(334\) 0.467106 30.6694i 0.0255589 1.67815i
\(335\) 0.0392949 0.0680608i 0.00214691 0.00371856i
\(336\) 8.18206 + 3.61972i 0.446368 + 0.197472i
\(337\) 1.09448 + 1.89569i 0.0596200 + 0.103265i 0.894295 0.447478i \(-0.147678\pi\)
−0.834675 + 0.550743i \(0.814344\pi\)
\(338\) 13.7802 7.67858i 0.749542 0.417660i
\(339\) −1.52335 + 4.10183i −0.0827372 + 0.222781i
\(340\) −1.76188 7.47957i −0.0955511 0.405637i
\(341\) −14.3342 14.3342i −0.776242 0.776242i
\(342\) −14.9529 + 0.882878i −0.808559 + 0.0477406i
\(343\) 15.9258 0.859912
\(344\) −2.71696 + 0.596482i −0.146489 + 0.0321602i
\(345\) 2.65345 + 1.88391i 0.142857 + 0.101426i
\(346\) 10.8240 + 3.07771i 0.581904 + 0.165459i
\(347\) −27.6810 7.41711i −1.48599 0.398171i −0.577612 0.816311i \(-0.696015\pi\)
−0.908382 + 0.418140i \(0.862682\pi\)
\(348\) −1.31422 + 10.5223i −0.0704498 + 0.564054i
\(349\) −23.0850 + 6.18561i −1.23571 + 0.331108i −0.816801 0.576919i \(-0.804255\pi\)
−0.418911 + 0.908027i \(0.637588\pi\)
\(350\) −0.125898 + 8.26628i −0.00672955 + 0.441851i
\(351\) −24.7923 + 6.12512i −1.32332 + 0.326934i
\(352\) 14.2687 12.2458i 0.760524 0.652704i
\(353\) −0.355770 0.205404i −0.0189357 0.0109325i 0.490502 0.871440i \(-0.336813\pi\)
−0.509438 + 0.860507i \(0.670147\pi\)
\(354\) −1.31817 + 12.0424i −0.0700601 + 0.640049i
\(355\) −0.0297620 0.00797469i −0.00157960 0.000423253i
\(356\) 12.0585 + 22.4374i 0.639099 + 1.18918i
\(357\) 12.3169 2.08895i 0.651877 0.110559i
\(358\) 18.3864 4.62770i 0.971750 0.244581i
\(359\) 1.19383i 0.0630078i 0.999504 + 0.0315039i \(0.0100297\pi\)
−0.999504 + 0.0315039i \(0.989970\pi\)
\(360\) −5.13626 2.77324i −0.270704 0.146162i
\(361\) 6.53512i 0.343954i
\(362\) 3.90564 + 15.5175i 0.205276 + 0.815584i
\(363\) −0.0293212 + 0.0789513i −0.00153897 + 0.00414387i
\(364\) −3.65723 + 12.1554i −0.191691 + 0.637116i
\(365\) 8.83291 + 2.36677i 0.462336 + 0.123883i
\(366\) 11.0615 + 25.1354i 0.578195 + 1.31385i
\(367\) 16.1698 + 9.33562i 0.844055 + 0.487316i 0.858641 0.512578i \(-0.171310\pi\)
−0.0145854 + 0.999894i \(0.504643\pi\)
\(368\) 0.665092 10.9045i 0.0346703 0.568438i
\(369\) −27.7498 + 9.69156i −1.44460 + 0.504522i
\(370\) 0.698038 + 0.0106314i 0.0362893 + 0.000552699i
\(371\) 1.06160 0.284455i 0.0551156 0.0147682i
\(372\) 20.9269 2.89665i 1.08501 0.150184i
\(373\) 11.5442 + 3.09325i 0.597735 + 0.160163i 0.544986 0.838445i \(-0.316535\pi\)
0.0527491 + 0.998608i \(0.483202\pi\)
\(374\) 7.18068 25.2538i 0.371304 1.30585i
\(375\) 1.06314 11.3012i 0.0549006 0.583593i
\(376\) −18.7153 + 29.2444i −0.965169 + 1.50817i
\(377\) −15.0446 −0.774838
\(378\) 5.02810 8.04816i 0.258617 0.413953i
\(379\) 15.3650 + 15.3650i 0.789248 + 0.789248i 0.981371 0.192123i \(-0.0615372\pi\)
−0.192123 + 0.981371i \(0.561537\pi\)
\(380\) 2.55570 4.13074i 0.131104 0.211903i
\(381\) −19.3488 23.3672i −0.991269 1.19714i
\(382\) 12.7072 + 22.8046i 0.650156 + 1.16679i
\(383\) −11.1162 19.2539i −0.568013 0.983827i −0.996762 0.0804037i \(-0.974379\pi\)
0.428750 0.903423i \(-0.358954\pi\)
\(384\) 1.20239 + 19.5590i 0.0613592 + 0.998116i
\(385\) 1.47643 2.55725i 0.0752458 0.130330i
\(386\) −7.39952 0.112697i −0.376626 0.00573615i
\(387\) 0.218733 + 2.94228i 0.0111188 + 0.149565i
\(388\) −17.6345 0.537284i −0.895255 0.0272764i
\(389\) 15.6338 4.18905i 0.792663 0.212393i 0.160303 0.987068i \(-0.448753\pi\)
0.632360 + 0.774675i \(0.282086\pi\)
\(390\) 3.00109 7.71858i 0.151966 0.390846i
\(391\) −7.62718 13.2107i −0.385723 0.668092i
\(392\) 6.93663 + 13.3923i 0.350353 + 0.676411i
\(393\) −8.95795 19.5426i −0.451869 0.985794i
\(394\) −27.8462 + 7.00866i −1.40287 + 0.353091i
\(395\) −1.40449 + 1.40449i −0.0706674 + 0.0706674i
\(396\) −10.7176 16.8191i −0.538581 0.845193i
\(397\) 14.5828 + 14.5828i 0.731887 + 0.731887i 0.970993 0.239106i \(-0.0768543\pi\)
−0.239106 + 0.970993i \(0.576854\pi\)
\(398\) 10.0403 16.7944i 0.503277 0.841829i
\(399\) 6.43910 + 4.57167i 0.322358 + 0.228870i
\(400\) −16.2033 + 8.08211i −0.810165 + 0.404105i
\(401\) 27.9585 16.1418i 1.39618 0.806085i 0.402191 0.915556i \(-0.368249\pi\)
0.993990 + 0.109470i \(0.0349155\pi\)
\(402\) −0.0304496 + 0.278178i −0.00151869 + 0.0138743i
\(403\) 7.75768 + 28.9521i 0.386438 + 1.44220i
\(404\) 9.96764 + 10.5941i 0.495909 + 0.527077i
\(405\) −3.68239 + 4.97705i −0.182979 + 0.247311i
\(406\) 4.01283 3.89243i 0.199154 0.193178i
\(407\) 2.06570 + 1.19263i 0.102393 + 0.0591166i
\(408\) 16.4699 + 21.8499i 0.815382 + 1.08173i
\(409\) 12.9975 7.50409i 0.642683 0.371053i −0.142964 0.989728i \(-0.545663\pi\)
0.785647 + 0.618674i \(0.212330\pi\)
\(410\) 2.60695 9.16844i 0.128748 0.452797i
\(411\) −2.89658 17.0788i −0.142878 0.842435i
\(412\) 20.0081 32.3388i 0.985727 1.59322i
\(413\) 4.51613 4.51613i 0.222224 0.222224i
\(414\) −11.3500 2.33414i −0.557821 0.114717i
\(415\) 2.70320i 0.132695i
\(416\) −27.3242 + 5.13193i −1.33968 + 0.251614i
\(417\) 1.02801 + 2.24269i 0.0503417 + 0.109825i
\(418\) 14.4976 8.07835i 0.709100 0.395125i
\(419\) 6.00718 22.4191i 0.293470 1.09525i −0.648955 0.760827i \(-0.724794\pi\)
0.942425 0.334418i \(-0.108540\pi\)
\(420\) 1.19652 + 2.83523i 0.0583842 + 0.138345i
\(421\) 4.05109 + 15.1189i 0.197438 + 0.736849i 0.991622 + 0.129172i \(0.0412319\pi\)
−0.794184 + 0.607677i \(0.792101\pi\)
\(422\) 26.9542 26.1454i 1.31211 1.27274i
\(423\) 27.8991 + 24.0380i 1.35650 + 1.16877i
\(424\) 1.62261 + 1.77809i 0.0788010 + 0.0863517i
\(425\) −12.6415 + 21.8958i −0.613205 + 1.06210i
\(426\) 0.108436 0.0166962i 0.00525374 0.000808932i
\(427\) 3.74717 13.9846i 0.181338 0.676764i
\(428\) −22.4479 6.75396i −1.08506 0.326465i
\(429\) 21.7938 18.0460i 1.05222 0.871267i
\(430\) −0.821205 0.490947i −0.0396020 0.0236756i
\(431\) −1.63818 −0.0789082 −0.0394541 0.999221i \(-0.512562\pi\)
−0.0394541 + 0.999221i \(0.512562\pi\)
\(432\) 20.7173 + 1.67155i 0.996761 + 0.0804224i
\(433\) 24.1284 1.15954 0.579769 0.814781i \(-0.303143\pi\)
0.579769 + 0.814781i \(0.303143\pi\)
\(434\) −9.55984 5.71523i −0.458887 0.274340i
\(435\) −2.80926 + 2.32615i −0.134694 + 0.111531i
\(436\) −11.7184 + 38.9479i −0.561209 + 1.86527i
\(437\) 2.49571 9.31411i 0.119386 0.445554i
\(438\) −32.1822 + 4.95518i −1.53772 + 0.236767i
\(439\) 6.04546 10.4711i 0.288534 0.499756i −0.684926 0.728613i \(-0.740165\pi\)
0.973460 + 0.228857i \(0.0734987\pi\)
\(440\) 6.46068 + 0.295378i 0.308001 + 0.0140816i
\(441\) 15.1024 5.27448i 0.719162 0.251166i
\(442\) −27.8648 + 27.0287i −1.32539 + 1.28563i
\(443\) −4.35450 16.2512i −0.206889 0.772119i −0.988866 0.148811i \(-0.952455\pi\)
0.781977 0.623307i \(-0.214211\pi\)
\(444\) −2.29024 + 0.966527i −0.108690 + 0.0458693i
\(445\) −2.26761 + 8.46284i −0.107495 + 0.401177i
\(446\) −3.95515 + 2.20389i −0.187282 + 0.104357i
\(447\) −4.13185 9.01401i −0.195430 0.426348i
\(448\) 5.96039 8.43831i 0.281602 0.398673i
\(449\) 31.8270i 1.50201i 0.660298 + 0.751004i \(0.270430\pi\)
−0.660298 + 0.751004i \(0.729570\pi\)
\(450\) 6.05553 + 18.2258i 0.285461 + 0.859175i
\(451\) 23.0287 23.0287i 1.08438 1.08438i
\(452\) 4.29661 + 2.65832i 0.202095 + 0.125037i
\(453\) −4.69260 27.6685i −0.220477 1.29998i
\(454\) −1.11436 + 3.91912i −0.0522996 + 0.183933i
\(455\) −3.78111 + 2.18303i −0.177261 + 0.102342i
\(456\) −2.40474 + 17.1282i −0.112612 + 0.802100i
\(457\) −24.8553 14.3502i −1.16268 0.671275i −0.210737 0.977543i \(-0.567586\pi\)
−0.951945 + 0.306268i \(0.900920\pi\)
\(458\) 18.5254 17.9695i 0.865634 0.839661i
\(459\) 25.4130 14.0157i 1.18618 0.654195i
\(460\) 2.73674 2.57491i 0.127601 0.120056i
\(461\) 0.483918 + 1.80601i 0.0225383 + 0.0841141i 0.976279 0.216517i \(-0.0694695\pi\)
−0.953741 + 0.300631i \(0.902803\pi\)
\(462\) −1.14408 + 10.4520i −0.0532275 + 0.486271i
\(463\) −4.71990 + 2.72503i −0.219352 + 0.126643i −0.605650 0.795731i \(-0.707087\pi\)
0.386298 + 0.922374i \(0.373754\pi\)
\(464\) 11.6124 + 3.88326i 0.539092 + 0.180276i
\(465\) 5.92506 + 4.20670i 0.274768 + 0.195081i
\(466\) −4.35830 + 7.29011i −0.201894 + 0.337708i
\(467\) 8.95228 + 8.95228i 0.414262 + 0.414262i 0.883220 0.468958i \(-0.155370\pi\)
−0.468958 + 0.883220i \(0.655370\pi\)
\(468\) 1.28960 + 29.4602i 0.0596118 + 1.36180i
\(469\) 0.104322 0.104322i 0.00481713 0.00481713i
\(470\) −11.5810 + 2.91485i −0.534194 + 0.134452i
\(471\) 5.65411 + 12.3350i 0.260528 + 0.568365i
\(472\) 13.3324 + 4.23381i 0.613672 + 0.194877i
\(473\) −1.63450 2.83103i −0.0751542 0.130171i
\(474\) 2.56299 6.59181i 0.117722 0.302772i
\(475\) −15.4375 + 4.13647i −0.708321 + 0.189794i
\(476\) 0.439306 14.4187i 0.0201355 0.660879i
\(477\) 2.11040 1.43701i 0.0966286 0.0657961i
\(478\) −16.9909 0.258777i −0.777144 0.0118362i
\(479\) −4.27809 + 7.40987i −0.195471 + 0.338566i −0.947055 0.321072i \(-0.895957\pi\)
0.751584 + 0.659638i \(0.229290\pi\)
\(480\) −4.30873 + 5.18307i −0.196666 + 0.236573i
\(481\) −1.76341 3.05431i −0.0804045 0.139265i
\(482\) 2.09160 + 3.75363i 0.0952696 + 0.170973i
\(483\) 3.89614 + 4.70531i 0.177281 + 0.214099i
\(484\) 0.0827003 + 0.0511668i 0.00375911 + 0.00232576i
\(485\) −4.29093 4.29093i −0.194841 0.194841i
\(486\) 4.86293 21.5024i 0.220587 0.975367i
\(487\) −13.1689 −0.596738 −0.298369 0.954451i \(-0.596443\pi\)
−0.298369 + 0.954451i \(0.596443\pi\)
\(488\) 30.9724 6.79969i 1.40205 0.307808i
\(489\) −1.12361 + 11.9440i −0.0508114 + 0.540125i
\(490\) −1.41879 + 4.98978i −0.0640945 + 0.225415i
\(491\) 8.09692 + 2.16956i 0.365409 + 0.0979110i 0.436851 0.899534i \(-0.356094\pi\)
−0.0714425 + 0.997445i \(0.522760\pi\)
\(492\) 4.65363 + 33.6202i 0.209802 + 1.51571i
\(493\) 16.5145 4.42505i 0.743776 0.199294i
\(494\) −24.5363 0.373697i −1.10394 0.0168134i
\(495\) 1.27932 6.73939i 0.0575010 0.302913i
\(496\) 1.48513 24.3494i 0.0666841 1.09332i
\(497\) −0.0500924 0.0289209i −0.00224695 0.00129728i
\(498\) 3.87712 + 8.81007i 0.173738 + 0.394789i
\(499\) 31.2957 + 8.38567i 1.40099 + 0.375394i 0.878700 0.477374i \(-0.158411\pi\)
0.522289 + 0.852768i \(0.325078\pi\)
\(500\) −12.5514 3.77637i −0.561314 0.168884i
\(501\) −13.0788 + 35.2163i −0.584316 + 1.57335i
\(502\) 1.44196 + 5.72906i 0.0643577 + 0.255701i
\(503\) 20.8126i 0.927989i −0.885838 0.463994i \(-0.846416\pi\)
0.885838 0.463994i \(-0.153584\pi\)
\(504\) −7.96610 7.52424i −0.354838 0.335156i
\(505\) 5.00321i 0.222640i
\(506\) 12.4504 3.13367i 0.553489 0.139309i
\(507\) −19.0484 + 3.23063i −0.845971 + 0.143477i
\(508\) −30.8575 + 16.5837i −1.36908 + 0.735783i
\(509\) −20.7078 5.54865i −0.917859 0.245940i −0.231189 0.972909i \(-0.574262\pi\)
−0.686670 + 0.726969i \(0.740928\pi\)
\(510\) −1.02405 + 9.35540i −0.0453456 + 0.414264i
\(511\) 14.8667 + 8.58329i 0.657664 + 0.379703i
\(512\) 22.4152 + 3.09167i 0.990622 + 0.136634i
\(513\) 17.6238 + 5.09438i 0.778111 + 0.224922i
\(514\) −0.0416289 + 2.73329i −0.00183617 + 0.120560i
\(515\) 12.6342 3.38533i 0.556730 0.149175i
\(516\) 3.38056 + 0.422230i 0.148821 + 0.0185876i
\(517\) −39.4127 10.5606i −1.73337 0.464455i
\(518\) 1.26058 + 0.358434i 0.0553868 + 0.0157487i
\(519\) −11.2378 7.97869i −0.493286 0.350226i
\(520\) −8.05448 5.15456i −0.353212 0.226042i
\(521\) 20.1534 0.882938 0.441469 0.897277i \(-0.354458\pi\)
0.441469 + 0.897277i \(0.354458\pi\)
\(522\) 5.81940 11.6105i 0.254708 0.508177i
\(523\) 14.7713 + 14.7713i 0.645905 + 0.645905i 0.952001 0.306096i \(-0.0990228\pi\)
−0.306096 + 0.952001i \(0.599023\pi\)
\(524\) −24.1623 + 5.69163i −1.05553 + 0.248640i
\(525\) 3.52511 9.49181i 0.153848 0.414256i
\(526\) 2.16816 1.20814i 0.0945362 0.0526775i
\(527\) −17.0312 29.4990i −0.741892 1.28499i
\(528\) −21.4798 + 8.30368i −0.934789 + 0.361371i
\(529\) −7.77028 + 13.4585i −0.337838 + 0.585153i
\(530\) −0.0126087 + 0.827864i −0.000547686 + 0.0359601i
\(531\) 6.44550 13.3639i 0.279711 0.579942i
\(532\) 6.64122 6.24850i 0.287934 0.270907i
\(533\) −46.5131 + 12.4631i −2.01470 + 0.539838i
\(534\) −4.74757 30.8338i −0.205447 1.33431i
\(535\) −4.03149 6.98274i −0.174296 0.301890i
\(536\) 0.307976 + 0.0978004i 0.0133025 + 0.00422433i
\(537\) −23.1189 2.17487i −0.997653 0.0938525i
\(538\) −6.93251 27.5437i −0.298882 1.18749i
\(539\) −12.5330 + 12.5330i −0.539835 + 0.539835i
\(540\) 4.79586 + 5.30167i 0.206381 + 0.228148i
\(541\) 11.1739 + 11.1739i 0.480403 + 0.480403i 0.905260 0.424857i \(-0.139676\pi\)
−0.424857 + 0.905260i \(0.639676\pi\)
\(542\) −13.8028 8.25184i −0.592882 0.354447i
\(543\) 1.83552 19.5116i 0.0787698 0.837324i
\(544\) 28.4844 13.6701i 1.22126 0.586103i
\(545\) −12.1153 + 6.99478i −0.518963 + 0.299624i
\(546\) 9.19208 12.5379i 0.393385 0.536573i
\(547\) −3.23236 12.0633i −0.138206 0.515791i −0.999964 0.00847177i \(-0.997303\pi\)
0.861758 0.507319i \(-0.169363\pi\)
\(548\) −19.9932 0.609150i −0.854068 0.0260216i
\(549\) −2.49348 33.5410i −0.106419 1.43149i
\(550\) −14.8159 15.2742i −0.631751 0.651293i
\(551\) 9.35956 + 5.40375i 0.398731 + 0.230207i
\(552\) −5.22627 + 12.3172i −0.222445 + 0.524254i
\(553\) −3.22914 + 1.86435i −0.137317 + 0.0792800i
\(554\) −9.53600 2.71146i −0.405146 0.115199i
\(555\) −0.801527 0.297674i −0.0340229 0.0126356i
\(556\) 2.77285 0.653167i 0.117595 0.0277004i
\(557\) −4.41323 + 4.41323i −0.186995 + 0.186995i −0.794395 0.607401i \(-0.792212\pi\)
0.607401 + 0.794395i \(0.292212\pi\)
\(558\) −25.3441 5.21205i −1.07290 0.220644i
\(559\) 4.83349i 0.204435i
\(560\) 3.48198 0.709032i 0.147140 0.0299621i
\(561\) −18.6153 + 26.2193i −0.785938 + 1.10698i
\(562\) 7.10924 + 12.7584i 0.299885 + 0.538181i
\(563\) −9.09152 + 33.9300i −0.383162 + 1.42998i 0.457882 + 0.889013i \(0.348608\pi\)
−0.841044 + 0.540967i \(0.818058\pi\)
\(564\) 33.5634 26.1102i 1.41328 1.09944i
\(565\) 0.449782 + 1.67861i 0.0189225 + 0.0706197i
\(566\) 23.7783 + 24.5138i 0.999477 + 1.03039i
\(567\) −9.09543 + 7.23568i −0.381972 + 0.303870i
\(568\) 0.00578599 0.126554i 0.000242775 0.00531010i
\(569\) −10.8432 + 18.7810i −0.454572 + 0.787342i −0.998663 0.0516841i \(-0.983541\pi\)
0.544091 + 0.839026i \(0.316874\pi\)
\(570\) −4.63941 + 3.72395i −0.194323 + 0.155979i
\(571\) 2.69081 10.0422i 0.112607 0.420255i −0.886490 0.462748i \(-0.846863\pi\)
0.999097 + 0.0424934i \(0.0135301\pi\)
\(572\) −15.4671 28.7797i −0.646710 1.20334i
\(573\) −5.34633 31.5230i −0.223346 1.31689i
\(574\) 9.18183 15.3584i 0.383242 0.641047i
\(575\) −12.3635 −0.515595
\(576\) 6.60877 23.0722i 0.275365 0.961340i
\(577\) −33.2014 −1.38219 −0.691096 0.722763i \(-0.742872\pi\)
−0.691096 + 0.722763i \(0.742872\pi\)
\(578\) 10.3008 17.2301i 0.428457 0.716678i
\(579\) 8.49655 + 3.15548i 0.353105 + 0.131137i
\(580\) 1.99373 + 3.70976i 0.0827851 + 0.154039i
\(581\) 1.31340 4.90169i 0.0544891 0.203356i
\(582\) 20.1390 + 7.83033i 0.834790 + 0.324578i
\(583\) −1.41444 + 2.44989i −0.0585803 + 0.101464i
\(584\) −1.71720 + 37.5595i −0.0710581 + 1.55422i
\(585\) −6.62054 + 7.68395i −0.273726 + 0.317692i
\(586\) −19.1953 19.7891i −0.792951 0.817479i
\(587\) −0.554497 2.06941i −0.0228865 0.0854137i 0.953538 0.301273i \(-0.0974115\pi\)
−0.976425 + 0.215859i \(0.930745\pi\)
\(588\) −2.53266 18.2973i −0.104445 0.754566i
\(589\) 5.57282 20.7981i 0.229624 0.856969i
\(590\) 2.34197 + 4.20296i 0.0964175 + 0.173033i
\(591\) 35.0136 + 3.29384i 1.44027 + 0.135491i
\(592\) 0.572743 + 2.81268i 0.0235396 + 0.115600i
\(593\) 13.9278i 0.571945i −0.958238 0.285973i \(-0.907683\pi\)
0.958238 0.285973i \(-0.0923166\pi\)
\(594\) 5.49666 + 23.7994i 0.225531 + 0.976502i
\(595\) 3.50844 3.50844i 0.143832 0.143832i
\(596\) −11.1448 + 2.62526i −0.456510 + 0.107535i
\(597\) −18.4580 + 15.2838i −0.755436 + 0.625524i
\(598\) −18.2594 5.19187i −0.746682 0.212312i
\(599\) 20.2130 11.6700i 0.825881 0.476823i −0.0265594 0.999647i \(-0.508455\pi\)
0.852440 + 0.522825i \(0.175122\pi\)
\(600\) 22.0109 2.70576i 0.898592 0.110462i
\(601\) −10.3379 5.96857i −0.421691 0.243463i 0.274110 0.961698i \(-0.411617\pi\)
−0.695800 + 0.718235i \(0.744950\pi\)
\(602\) −1.25055 1.28923i −0.0509685 0.0525451i
\(603\) 0.148890 0.308703i 0.00606326 0.0125714i
\(604\) −32.3900 0.986853i −1.31793 0.0401545i
\(605\) 0.00865733 + 0.0323096i 0.000351971 + 0.00131357i
\(606\) −7.17596 16.3061i −0.291504 0.662391i
\(607\) −10.3919 + 5.99979i −0.421796 + 0.243524i −0.695845 0.718192i \(-0.744970\pi\)
0.274050 + 0.961716i \(0.411637\pi\)
\(608\) 18.8422 + 6.62167i 0.764153 + 0.268544i
\(609\) −6.22422 + 2.85306i −0.252218 + 0.115612i
\(610\) 9.36145 + 5.59663i 0.379034 + 0.226601i
\(611\) 42.6603 + 42.6603i 1.72585 + 1.72585i
\(612\) −10.0807 31.9592i −0.407487 1.29187i
\(613\) −18.1803 + 18.1803i −0.734296 + 0.734296i −0.971468 0.237172i \(-0.923780\pi\)
0.237172 + 0.971468i \(0.423780\pi\)
\(614\) −2.13641 8.48820i −0.0862185 0.342556i
\(615\) −6.75830 + 9.51893i −0.272521 + 0.383840i
\(616\) 11.5716 + 3.67466i 0.466232 + 0.148056i
\(617\) 18.9672 + 32.8521i 0.763589 + 1.32257i 0.940989 + 0.338436i \(0.109898\pi\)
−0.177401 + 0.984139i \(0.556769\pi\)
\(618\) −36.3211 + 29.1541i −1.46105 + 1.17275i
\(619\) −0.00230201 0.000616823i −9.25258e−5 2.47922e-5i −0.258865 0.965913i \(-0.583349\pi\)
0.258773 + 0.965938i \(0.416682\pi\)
\(620\) 6.11104 5.74967i 0.245425 0.230912i
\(621\) 12.1490 + 7.33529i 0.487523 + 0.294355i
\(622\) 0.0659686 4.33139i 0.00264510 0.173673i
\(623\) −8.22368 + 14.2438i −0.329475 + 0.570667i
\(624\) 33.6436 + 5.24707i 1.34682 + 0.210051i
\(625\) 9.06281 + 15.6972i 0.362512 + 0.627890i
\(626\) 3.70209 2.06288i 0.147965 0.0824493i
\(627\) −20.0401 + 3.39882i −0.800326 + 0.135736i
\(628\) 15.2508 3.59246i 0.608575 0.143355i
\(629\) 2.83406 + 2.83406i 0.113001 + 0.113001i
\(630\) −0.222149 3.76243i −0.00885064 0.149899i
\(631\) −39.2643 −1.56309 −0.781543 0.623852i \(-0.785567\pi\)
−0.781543 + 0.623852i \(0.785567\pi\)
\(632\) −6.87867 4.40209i −0.273619 0.175106i
\(633\) −41.8080 + 19.1640i −1.66172 + 0.761700i
\(634\) −13.0181 3.70158i −0.517016 0.147008i
\(635\) −11.6387 3.11858i −0.461868 0.123757i
\(636\) −1.14629 2.71620i −0.0454532 0.107704i
\(637\) 25.3140 6.78286i 1.00298 0.268747i
\(638\) −0.219134 + 14.3880i −0.00867560 + 0.569625i
\(639\) −0.132014 0.0250598i −0.00522239 0.000991349i
\(640\) 4.88648 + 6.05761i 0.193155 + 0.239448i
\(641\) 15.2983 + 8.83246i 0.604245 + 0.348861i 0.770710 0.637186i \(-0.219902\pi\)
−0.166465 + 0.986047i \(0.553235\pi\)
\(642\) 23.1543 + 16.9754i 0.913826 + 0.669966i
\(643\) −6.60298 1.76926i −0.260396 0.0697729i 0.126259 0.991997i \(-0.459703\pi\)
−0.386655 + 0.922224i \(0.626370\pi\)
\(644\) 6.21358 3.33935i 0.244849 0.131589i
\(645\) 0.747339 + 0.902549i 0.0294264 + 0.0355378i
\(646\) 27.0435 6.80661i 1.06401 0.267803i
\(647\) 4.24252i 0.166791i −0.996517 0.0833953i \(-0.973424\pi\)
0.996517 0.0833953i \(-0.0265764\pi\)
\(648\) −23.2343 10.4003i −0.912731 0.408561i
\(649\) 16.4392i 0.645293i
\(650\) 7.67955 + 30.5117i 0.301217 + 1.19677i
\(651\) 8.69995 + 10.5068i 0.340978 + 0.411793i
\(652\) 13.2652 + 3.99114i 0.519505 + 0.156305i
\(653\) −26.6484 7.14041i −1.04283 0.279426i −0.303545 0.952817i \(-0.598170\pi\)
−0.739286 + 0.673391i \(0.764837\pi\)
\(654\) 29.4530 40.1735i 1.15170 1.57091i
\(655\) −7.39431 4.26911i −0.288919 0.166808i
\(656\) 39.1187 + 2.38594i 1.52733 + 0.0931551i
\(657\) 39.1798 + 7.43737i 1.52855 + 0.290159i
\(658\) −22.4161 0.341405i −0.873869 0.0133093i
\(659\) −10.1504 + 2.71978i −0.395402 + 0.105948i −0.451041 0.892503i \(-0.648947\pi\)
0.0556391 + 0.998451i \(0.482280\pi\)
\(660\) −7.33798 2.98253i −0.285630 0.116095i
\(661\) −28.3410 7.59396i −1.10234 0.295371i −0.338622 0.940922i \(-0.609961\pi\)
−0.763717 + 0.645552i \(0.776628\pi\)
\(662\) −5.84105 + 20.5425i −0.227019 + 0.798407i
\(663\) 43.2204 19.8114i 1.67854 0.769412i
\(664\) 10.8560 2.38333i 0.421294 0.0924910i
\(665\) 3.13641 0.121625
\(666\) 3.03923 0.179448i 0.117768 0.00695347i
\(667\) 5.91179 + 5.91179i 0.228905 + 0.228905i
\(668\) 36.8886 + 22.8230i 1.42726 + 0.883049i
\(669\) 5.46724 0.927247i 0.211376 0.0358495i
\(670\) 0.0540992 + 0.0970876i 0.00209003 + 0.00375082i
\(671\) 18.6327 + 32.2728i 0.719307 + 1.24588i
\(672\) −10.3313 + 7.30493i −0.398537 + 0.281794i
\(673\) −5.32418 + 9.22175i −0.205232 + 0.355472i −0.950207 0.311621i \(-0.899128\pi\)
0.744975 + 0.667093i \(0.232462\pi\)
\(674\) −3.09529 0.0471425i −0.119226 0.00181586i
\(675\) 0.460823 23.5173i 0.0177371 0.905182i
\(676\) −0.679401 + 22.2990i −0.0261308 + 0.857654i
\(677\) 21.2938 5.70565i 0.818387 0.219286i 0.174746 0.984614i \(-0.444090\pi\)
0.643641 + 0.765327i \(0.277423\pi\)
\(678\) −3.87348 4.82570i −0.148760 0.185330i
\(679\) −5.69587 9.86554i −0.218587 0.378605i
\(680\) 10.3575 + 3.28912i 0.397192 + 0.126132i
\(681\) 2.88889 4.06894i 0.110702 0.155922i
\(682\) 27.8014 6.99738i 1.06457 0.267943i
\(683\) 1.68202 1.68202i 0.0643609 0.0643609i −0.674194 0.738555i \(-0.735509\pi\)
0.738555 + 0.674194i \(0.235509\pi\)
\(684\) 9.77927 18.7910i 0.373920 0.718492i
\(685\) −4.86488 4.86488i −0.185877 0.185877i
\(686\) −11.5570 + 19.3313i −0.441247 + 0.738071i
\(687\) −28.7343 + 13.1712i −1.09628 + 0.502514i
\(688\) 1.24760 3.73079i 0.0475644 0.142235i
\(689\) 3.62237 2.09138i 0.138001 0.0796751i
\(690\) −4.21230 + 1.85374i −0.160360 + 0.0705707i
\(691\) −0.595784 2.22350i −0.0226647 0.0845858i 0.953667 0.300864i \(-0.0972749\pi\)
−0.976332 + 0.216278i \(0.930608\pi\)
\(692\) −11.5906 + 10.9052i −0.440607 + 0.414553i
\(693\) 5.59424 11.5989i 0.212508 0.440606i
\(694\) 29.0906 28.2178i 1.10426 1.07113i
\(695\) 0.848565 + 0.489919i 0.0321879 + 0.0185837i
\(696\) −11.8186 9.23102i −0.447983 0.349901i
\(697\) 47.3917 27.3616i 1.79509 1.03639i
\(698\) 9.24393 32.5101i 0.349888 1.23053i
\(699\) 8.01223 6.63437i 0.303050 0.250935i
\(700\) −9.94253 6.15146i −0.375792 0.232503i
\(701\) 10.2728 10.2728i 0.387997 0.387997i −0.485976 0.873972i \(-0.661536\pi\)
0.873972 + 0.485976i \(0.161536\pi\)
\(702\) 10.5563 34.5386i 0.398422 1.30358i
\(703\) 2.53353i 0.0955540i
\(704\) 4.50994 + 26.2063i 0.169975 + 0.987689i
\(705\) 14.5619 + 1.36989i 0.548433 + 0.0515929i
\(706\) 0.507500 0.282789i 0.0191000 0.0106429i
\(707\) −2.43091 + 9.07228i −0.0914238 + 0.341198i
\(708\) −13.6610 10.3390i −0.513411 0.388562i
\(709\) 1.30925 + 4.88619i 0.0491700 + 0.183505i 0.986143 0.165896i \(-0.0530517\pi\)
−0.936973 + 0.349401i \(0.886385\pi\)
\(710\) 0.0312775 0.0303391i 0.00117382 0.00113860i
\(711\) −5.65406 + 6.56224i −0.212044 + 0.246103i
\(712\) −35.9858 1.64525i −1.34863 0.0616584i
\(713\) 8.32834 14.4251i 0.311899 0.540224i
\(714\) −6.40241 + 16.4665i −0.239604 + 0.616244i
\(715\) 2.90859 10.8550i 0.108775 0.405955i
\(716\) −7.72529 + 25.6762i −0.288708 + 0.959566i
\(717\) 19.5099 + 7.24566i 0.728610 + 0.270594i
\(718\) −1.44911 0.866331i −0.0540802 0.0323312i
\(719\) 6.73858 0.251307 0.125653 0.992074i \(-0.459897\pi\)
0.125653 + 0.992074i \(0.459897\pi\)
\(720\) 7.09351 4.22210i 0.264359 0.157348i
\(721\) 24.5544 0.914452
\(722\) −7.93255 4.74238i −0.295219 0.176493i
\(723\) −0.880003 5.18867i −0.0327277 0.192969i
\(724\) −21.6700 6.51991i −0.805358 0.242311i
\(725\) 3.58646 13.3849i 0.133198 0.497101i
\(726\) −0.0745561 0.0928842i −0.00276704 0.00344726i
\(727\) −4.14056 + 7.17166i −0.153565 + 0.265982i −0.932536 0.361078i \(-0.882409\pi\)
0.778971 + 0.627060i \(0.215742\pi\)
\(728\) −12.1007 13.2601i −0.448481 0.491454i
\(729\) −14.4057 + 22.8359i −0.533543 + 0.845773i
\(730\) −9.28270 + 9.00419i −0.343568 + 0.333260i
\(731\) −1.42166 5.30572i −0.0525821 0.196239i
\(732\) −38.5373 4.81327i −1.42438 0.177904i
\(733\) −11.7070 + 43.6909i −0.432406 + 1.61376i 0.314792 + 0.949161i \(0.398065\pi\)
−0.747198 + 0.664601i \(0.768601\pi\)
\(734\) −23.0659 + 12.8528i −0.851378 + 0.474405i
\(735\) 3.67810 5.18053i 0.135669 0.191087i
\(736\) 12.7537 + 8.72047i 0.470106 + 0.321441i
\(737\) 0.379742i 0.0139880i
\(738\) 8.37344 40.7166i 0.308231 1.49880i
\(739\) 22.0530 22.0530i 0.811234 0.811234i −0.173585 0.984819i \(-0.555535\pi\)
0.984819 + 0.173585i \(0.0555352\pi\)
\(740\) −0.519454 + 0.839588i −0.0190955 + 0.0308639i
\(741\) 28.1740 + 10.4634i 1.03500 + 0.384381i
\(742\) −0.425097 + 1.49503i −0.0156058 + 0.0548843i
\(743\) 29.9386 17.2851i 1.09834 0.634128i 0.162557 0.986699i \(-0.448026\pi\)
0.935785 + 0.352571i \(0.114693\pi\)
\(744\) −11.6701 + 27.5038i −0.427846 + 1.00834i
\(745\) −3.41062 1.96912i −0.124955 0.0721431i
\(746\) −12.1320 + 11.7680i −0.444185 + 0.430858i
\(747\) −0.873977 11.7563i −0.0319772 0.430140i
\(748\) 25.4431 + 27.0423i 0.930293 + 0.988763i
\(749\) −3.91756 14.6205i −0.143144 0.534222i
\(750\) 12.9463 + 9.49151i 0.472733 + 0.346581i
\(751\) −38.8676 + 22.4402i −1.41830 + 0.818855i −0.996149 0.0876713i \(-0.972057\pi\)
−0.422149 + 0.906526i \(0.638724\pi\)
\(752\) −21.9166 43.9393i −0.799217 1.60230i
\(753\) 0.677674 7.20367i 0.0246958 0.262516i
\(754\) 10.9175 18.2617i 0.397593 0.665051i
\(755\) −7.88134 7.88134i −0.286832 0.286832i
\(756\) 6.12036 + 11.9436i 0.222595 + 0.434386i
\(757\) 27.6111 27.6111i 1.00354 1.00354i 0.00354931 0.999994i \(-0.498870\pi\)
0.999994 0.00354931i \(-0.00112978\pi\)
\(758\) −29.8006 + 7.50057i −1.08241 + 0.272433i
\(759\) −15.6551 1.47272i −0.568243 0.0534565i
\(760\) 3.15943 + 6.09977i 0.114605 + 0.221262i
\(761\) −17.8578 30.9307i −0.647346 1.12124i −0.983754 0.179520i \(-0.942545\pi\)
0.336408 0.941716i \(-0.390788\pi\)
\(762\) 42.4049 6.52920i 1.53617 0.236528i
\(763\) −25.3672 + 6.79711i −0.918353 + 0.246072i
\(764\) −36.9023 1.12433i −1.33508 0.0406769i
\(765\) 5.00731 10.3820i 0.181040 0.375361i
\(766\) 31.4378 + 0.478809i 1.13589 + 0.0173001i
\(767\) 12.1534 21.0502i 0.438832 0.760079i
\(768\) −24.6139 12.7340i −0.888179 0.459498i
\(769\) −22.6077 39.1577i −0.815254 1.41206i −0.909145 0.416479i \(-0.863264\pi\)
0.0938910 0.995582i \(-0.470069\pi\)
\(770\) 2.03267 + 3.64788i 0.0732523 + 0.131460i
\(771\) 1.16559 3.13851i 0.0419778 0.113031i
\(772\) 5.50645 8.90002i 0.198182 0.320319i
\(773\) 5.57961 + 5.57961i