Properties

Label 177.2.e.a.19.5
Level $177$
Weight $2$
Character 177.19
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 19.5
Character \(\chi\) \(=\) 177.19
Dual form 177.2.e.a.28.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.31462 - 2.47964i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(-3.29802 - 4.86421i) q^{4} +(1.27307 - 0.280224i) q^{5} +(0.750838 + 2.70428i) q^{6} +(1.14406 - 0.869689i) q^{7} +(-10.8169 + 1.17641i) q^{8} +(0.0541389 - 0.998533i) q^{9} +O(q^{10})\) \(q+(1.31462 - 2.47964i) q^{2} +(-0.725995 + 0.687699i) q^{3} +(-3.29802 - 4.86421i) q^{4} +(1.27307 - 0.280224i) q^{5} +(0.750838 + 2.70428i) q^{6} +(1.14406 - 0.869689i) q^{7} +(-10.8169 + 1.17641i) q^{8} +(0.0541389 - 0.998533i) q^{9} +(0.978753 - 3.52515i) q^{10} +(-0.0135957 - 0.0341225i) q^{11} +(5.73946 + 1.26335i) q^{12} +(0.218202 + 4.02450i) q^{13} +(-0.652515 - 3.98017i) q^{14} +(-0.731534 + 1.07893i) q^{15} +(-6.95259 + 17.4497i) q^{16} +(-0.583795 - 0.443789i) q^{17} +(-2.40483 - 1.44694i) q^{18} +(6.08516 - 2.05033i) q^{19} +(-5.56168 - 5.26830i) q^{20} +(-0.232495 + 1.41816i) q^{21} +(-0.102485 - 0.0111459i) q^{22} +(6.43762 - 3.87339i) q^{23} +(7.04402 - 8.29286i) q^{24} +(-2.99569 + 1.38596i) q^{25} +(10.2662 + 4.74964i) q^{26} +(0.647386 + 0.762162i) q^{27} +(-8.00348 - 2.69668i) q^{28} +(-0.0464669 - 0.0876458i) q^{29} +(1.71367 + 3.23233i) q^{30} +(7.34222 + 2.47388i) q^{31} +(20.0409 + 23.5940i) q^{32} +(0.0333365 + 0.0154231i) q^{33} +(-1.86791 + 0.864187i) q^{34} +(1.21276 - 1.42777i) q^{35} +(-5.03563 + 3.02984i) q^{36} +(-6.46531 - 0.703145i) q^{37} +(2.91561 - 17.7844i) q^{38} +(-2.92606 - 2.77171i) q^{39} +(-13.4410 + 4.52881i) q^{40} +(-5.56926 - 3.35091i) q^{41} +(3.21088 + 2.44085i) q^{42} +(-4.42571 + 11.1077i) q^{43} +(-0.121141 + 0.178669i) q^{44} +(-0.210890 - 1.28637i) q^{45} +(-1.14157 - 21.0550i) q^{46} +(-3.28620 - 0.723348i) q^{47} +(-6.95259 - 17.4497i) q^{48} +(-1.32019 + 4.75490i) q^{49} +(-0.501535 + 9.25026i) q^{50} +(0.729026 - 0.0792864i) q^{51} +(18.8564 - 14.3343i) q^{52} +(-0.432398 - 1.55736i) q^{53} +(2.74096 - 0.603331i) q^{54} +(-0.0268702 - 0.0396306i) q^{55} +(-11.3521 + 10.7532i) q^{56} +(-3.00779 + 5.67329i) q^{57} -0.278417 q^{58} +(-7.05093 + 3.04703i) q^{59} +7.66076 q^{60} +(-1.59366 + 3.00597i) q^{61} +(15.7866 - 14.9539i) q^{62} +(-0.806476 - 1.18946i) q^{63} +(48.1617 - 10.6012i) q^{64} +(1.40555 + 5.06233i) q^{65} +(0.0820686 - 0.0623869i) q^{66} +(1.45362 - 0.158091i) q^{67} +(-0.233320 + 4.30333i) q^{68} +(-2.00996 + 7.23921i) q^{69} +(-1.94604 - 4.88418i) q^{70} +(-1.67909 - 0.369596i) q^{71} +(0.589069 + 10.8647i) q^{72} +(-0.286609 - 1.74824i) q^{73} +(-10.2430 + 15.1073i) q^{74} +(1.22174 - 3.06633i) q^{75} +(-30.0422 - 22.8375i) q^{76} +(-0.0452302 - 0.0272141i) q^{77} +(-10.7195 + 3.61183i) q^{78} +(-0.945647 - 0.895764i) q^{79} +(-3.96132 + 24.1630i) q^{80} +(-0.994138 - 0.108119i) q^{81} +(-15.6306 + 9.40459i) q^{82} +(5.63272 - 6.63135i) q^{83} +(7.66500 - 3.54620i) q^{84} +(-0.867572 - 0.401382i) q^{85} +(21.7250 + 25.5766i) q^{86} +(0.0940087 + 0.0316752i) q^{87} +(0.187205 + 0.353107i) q^{88} +(-5.15817 - 9.72934i) q^{89} +(-3.46699 - 1.16817i) q^{90} +(3.74970 + 4.41449i) q^{91} +(-40.0724 - 18.5395i) q^{92} +(-7.03170 + 3.25321i) q^{93} +(-6.11377 + 7.19768i) q^{94} +(7.17229 - 4.31542i) q^{95} +(-30.7752 - 3.34701i) q^{96} +(-0.416944 + 2.54325i) q^{97} +(10.0549 + 9.52451i) q^{98} +(-0.0348086 + 0.0117284i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{19}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.31462 2.47964i 0.929579 1.75337i 0.355176 0.934799i \(-0.384421\pi\)
0.574403 0.818573i \(-0.305234\pi\)
\(3\) −0.725995 + 0.687699i −0.419154 + 0.397043i
\(4\) −3.29802 4.86421i −1.64901 2.43211i
\(5\) 1.27307 0.280224i 0.569334 0.125320i 0.0790316 0.996872i \(-0.474817\pi\)
0.490303 + 0.871552i \(0.336886\pi\)
\(6\) 0.750838 + 2.70428i 0.306528 + 1.10402i
\(7\) 1.14406 0.869689i 0.432413 0.328712i −0.366222 0.930527i \(-0.619349\pi\)
0.798635 + 0.601816i \(0.205556\pi\)
\(8\) −10.8169 + 1.17641i −3.82436 + 0.415924i
\(9\) 0.0541389 0.998533i 0.0180463 0.332844i
\(10\) 0.978753 3.52515i 0.309509 1.11475i
\(11\) −0.0135957 0.0341225i −0.00409925 0.0102883i 0.926913 0.375277i \(-0.122452\pi\)
−0.931012 + 0.364988i \(0.881073\pi\)
\(12\) 5.73946 + 1.26335i 1.65684 + 0.364698i
\(13\) 0.218202 + 4.02450i 0.0605184 + 1.11620i 0.858266 + 0.513205i \(0.171542\pi\)
−0.797748 + 0.602991i \(0.793975\pi\)
\(14\) −0.652515 3.98017i −0.174392 1.06374i
\(15\) −0.731534 + 1.07893i −0.188881 + 0.278579i
\(16\) −6.95259 + 17.4497i −1.73815 + 4.36242i
\(17\) −0.583795 0.443789i −0.141591 0.107635i 0.531981 0.846756i \(-0.321448\pi\)
−0.673572 + 0.739122i \(0.735241\pi\)
\(18\) −2.40483 1.44694i −0.566825 0.341047i
\(19\) 6.08516 2.05033i 1.39603 0.470378i 0.482054 0.876142i \(-0.339891\pi\)
0.913978 + 0.405764i \(0.132995\pi\)
\(20\) −5.56168 5.26830i −1.24363 1.17803i
\(21\) −0.232495 + 1.41816i −0.0507346 + 0.309467i
\(22\) −0.102485 0.0111459i −0.0218499 0.00237632i
\(23\) 6.43762 3.87339i 1.34234 0.807657i 0.350672 0.936498i \(-0.385953\pi\)
0.991665 + 0.128841i \(0.0411258\pi\)
\(24\) 7.04402 8.29286i 1.43785 1.69277i
\(25\) −2.99569 + 1.38596i −0.599139 + 0.277191i
\(26\) 10.2662 + 4.74964i 2.01336 + 0.931481i
\(27\) 0.647386 + 0.762162i 0.124590 + 0.146678i
\(28\) −8.00348 2.69668i −1.51251 0.509626i
\(29\) −0.0464669 0.0876458i −0.00862868 0.0162754i 0.879160 0.476526i \(-0.158104\pi\)
−0.887789 + 0.460251i \(0.847759\pi\)
\(30\) 1.71367 + 3.23233i 0.312872 + 0.590140i
\(31\) 7.34222 + 2.47388i 1.31870 + 0.444322i 0.888693 0.458503i \(-0.151614\pi\)
0.430008 + 0.902825i \(0.358511\pi\)
\(32\) 20.0409 + 23.5940i 3.54277 + 4.17087i
\(33\) 0.0333365 + 0.0154231i 0.00580313 + 0.00268481i
\(34\) −1.86791 + 0.864187i −0.320344 + 0.148207i
\(35\) 1.21276 1.42777i 0.204993 0.241337i
\(36\) −5.03563 + 3.02984i −0.839272 + 0.504973i
\(37\) −6.46531 0.703145i −1.06289 0.115596i −0.440072 0.897963i \(-0.645047\pi\)
−0.622819 + 0.782366i \(0.714013\pi\)
\(38\) 2.91561 17.7844i 0.472974 2.88502i
\(39\) −2.92606 2.77171i −0.468545 0.443829i
\(40\) −13.4410 + 4.52881i −2.12522 + 0.716068i
\(41\) −5.56926 3.35091i −0.869773 0.523325i 0.00933048 0.999956i \(-0.497030\pi\)
−0.879103 + 0.476632i \(0.841858\pi\)
\(42\) 3.21088 + 2.44085i 0.495450 + 0.376631i
\(43\) −4.42571 + 11.1077i −0.674914 + 1.69391i 0.0442080 + 0.999022i \(0.485924\pi\)
−0.719122 + 0.694884i \(0.755456\pi\)
\(44\) −0.121141 + 0.178669i −0.0182626 + 0.0269354i
\(45\) −0.210890 1.28637i −0.0314377 0.191761i
\(46\) −1.14157 21.0550i −0.168316 3.10440i
\(47\) −3.28620 0.723348i −0.479342 0.105511i −0.0312745 0.999511i \(-0.509957\pi\)
−0.448068 + 0.894000i \(0.647888\pi\)
\(48\) −6.95259 17.4497i −1.00352 2.51865i
\(49\) −1.32019 + 4.75490i −0.188599 + 0.679272i
\(50\) −0.501535 + 9.25026i −0.0709277 + 1.30818i
\(51\) 0.729026 0.0792864i 0.102084 0.0111023i
\(52\) 18.8564 14.3343i 2.61491 1.98780i
\(53\) −0.432398 1.55736i −0.0593944 0.213919i 0.927898 0.372835i \(-0.121614\pi\)
−0.987292 + 0.158915i \(0.949200\pi\)
\(54\) 2.74096 0.603331i 0.372997 0.0821029i
\(55\) −0.0268702 0.0396306i −0.00362318 0.00534379i
\(56\) −11.3521 + 10.7532i −1.51698 + 1.43696i
\(57\) −3.00779 + 5.67329i −0.398391 + 0.751446i
\(58\) −0.278417 −0.0365579
\(59\) −7.05093 + 3.04703i −0.917953 + 0.396689i
\(60\) 7.66076 0.989000
\(61\) −1.59366 + 3.00597i −0.204048 + 0.384875i −0.964324 0.264725i \(-0.914719\pi\)
0.760276 + 0.649600i \(0.225064\pi\)
\(62\) 15.7866 14.9539i 2.00490 1.89914i
\(63\) −0.806476 1.18946i −0.101606 0.149858i
\(64\) 48.1617 10.6012i 6.02022 1.32515i
\(65\) 1.40555 + 5.06233i 0.174337 + 0.627905i
\(66\) 0.0820686 0.0623869i 0.0101019 0.00767930i
\(67\) 1.45362 0.158091i 0.177588 0.0193139i −0.0188928 0.999822i \(-0.506014\pi\)
0.196481 + 0.980508i \(0.437049\pi\)
\(68\) −0.233320 + 4.30333i −0.0282942 + 0.521855i
\(69\) −2.00996 + 7.23921i −0.241970 + 0.871499i
\(70\) −1.94604 4.88418i −0.232596 0.583771i
\(71\) −1.67909 0.369596i −0.199272 0.0438630i 0.114213 0.993456i \(-0.463565\pi\)
−0.313485 + 0.949593i \(0.601496\pi\)
\(72\) 0.589069 + 10.8647i 0.0694225 + 1.28042i
\(73\) −0.286609 1.74824i −0.0335451 0.204616i 0.964736 0.263218i \(-0.0847839\pi\)
−0.998281 + 0.0586023i \(0.981336\pi\)
\(74\) −10.2430 + 15.1073i −1.19072 + 1.75619i
\(75\) 1.22174 3.06633i 0.141074 0.354070i
\(76\) −30.0422 22.8375i −3.44608 2.61964i
\(77\) −0.0452302 0.0272141i −0.00515446 0.00310134i
\(78\) −10.7195 + 3.61183i −1.21375 + 0.408959i
\(79\) −0.945647 0.895764i −0.106394 0.100781i 0.632654 0.774435i \(-0.281966\pi\)
−0.739048 + 0.673653i \(0.764724\pi\)
\(80\) −3.96132 + 24.1630i −0.442889 + 2.70150i
\(81\) −0.994138 0.108119i −0.110460 0.0120132i
\(82\) −15.6306 + 9.40459i −1.72611 + 1.03856i
\(83\) 5.63272 6.63135i 0.618271 0.727885i −0.360519 0.932752i \(-0.617400\pi\)
0.978790 + 0.204867i \(0.0656762\pi\)
\(84\) 7.66500 3.54620i 0.836320 0.386923i
\(85\) −0.867572 0.401382i −0.0941014 0.0435360i
\(86\) 21.7250 + 25.5766i 2.34266 + 2.75800i
\(87\) 0.0940087 + 0.0316752i 0.0100788 + 0.00339594i
\(88\) 0.187205 + 0.353107i 0.0199562 + 0.0376413i
\(89\) −5.15817 9.72934i −0.546765 1.03131i −0.990805 0.135301i \(-0.956800\pi\)
0.444040 0.896007i \(-0.353545\pi\)
\(90\) −3.46699 1.16817i −0.365453 0.123135i
\(91\) 3.74970 + 4.41449i 0.393075 + 0.462764i
\(92\) −40.0724 18.5395i −4.17784 1.93287i
\(93\) −7.03170 + 3.25321i −0.729154 + 0.337342i
\(94\) −6.11377 + 7.19768i −0.630587 + 0.742384i
\(95\) 7.17229 4.31542i 0.735861 0.442753i
\(96\) −30.7752 3.34701i −3.14098 0.341602i
\(97\) −0.416944 + 2.54325i −0.0423343 + 0.258228i −0.999511 0.0312775i \(-0.990042\pi\)
0.957176 + 0.289505i \(0.0934907\pi\)
\(98\) 10.0549 + 9.52451i 1.01570 + 0.962121i
\(99\) −0.0348086 + 0.0117284i −0.00349839 + 0.00117875i
\(100\) 16.6214 + 10.0008i 1.66214 + 1.00008i
\(101\) 3.61927 + 2.75130i 0.360131 + 0.273765i 0.769556 0.638579i \(-0.220478\pi\)
−0.409425 + 0.912344i \(0.634271\pi\)
\(102\) 0.761793 1.91196i 0.0754287 0.189312i
\(103\) −5.86371 + 8.64833i −0.577769 + 0.852145i −0.998484 0.0550477i \(-0.982469\pi\)
0.420715 + 0.907193i \(0.361779\pi\)
\(104\) −7.09474 43.2760i −0.695697 4.24356i
\(105\) 0.101419 + 1.87057i 0.00989749 + 0.182548i
\(106\) −4.43013 0.975145i −0.430292 0.0947144i
\(107\) 0.845630 + 2.12237i 0.0817502 + 0.205177i 0.964170 0.265286i \(-0.0854662\pi\)
−0.882420 + 0.470463i \(0.844087\pi\)
\(108\) 1.57223 5.66265i 0.151288 0.544889i
\(109\) −0.295752 + 5.45483i −0.0283279 + 0.522478i 0.949591 + 0.313492i \(0.101499\pi\)
−0.977919 + 0.208986i \(0.932984\pi\)
\(110\) −0.133594 + 0.0145292i −0.0127377 + 0.00138531i
\(111\) 5.17734 3.93571i 0.491411 0.373561i
\(112\) 7.22165 + 26.0100i 0.682382 + 2.45772i
\(113\) −4.54970 + 1.00146i −0.427999 + 0.0942098i −0.423746 0.905781i \(-0.639285\pi\)
−0.00425359 + 0.999991i \(0.501354\pi\)
\(114\) 10.1136 + 14.9165i 0.947228 + 1.39706i
\(115\) 7.11013 6.73507i 0.663023 0.628049i
\(116\) −0.273079 + 0.515082i −0.0253548 + 0.0478242i
\(117\) 4.03041 0.372612
\(118\) −1.71378 + 21.4895i −0.157766 + 1.97827i
\(119\) −1.05385 −0.0966066
\(120\) 6.64367 12.5313i 0.606482 1.14395i
\(121\) 7.98497 7.56377i 0.725906 0.687615i
\(122\) 5.35866 + 7.90343i 0.485150 + 0.715543i
\(123\) 6.34768 1.39723i 0.572351 0.125984i
\(124\) −12.1813 43.8730i −1.09391 3.93991i
\(125\) −8.61407 + 6.54825i −0.770466 + 0.585693i
\(126\) −4.00965 + 0.436076i −0.357208 + 0.0388488i
\(127\) 0.269602 4.97252i 0.0239233 0.441240i −0.961894 0.273421i \(-0.911845\pi\)
0.985818 0.167819i \(-0.0536724\pi\)
\(128\) 20.4638 73.7039i 1.80876 6.51456i
\(129\) −4.42571 11.1077i −0.389662 0.977977i
\(130\) 14.4005 + 3.16980i 1.26301 + 0.278010i
\(131\) −0.681745 12.5741i −0.0595644 1.09860i −0.863652 0.504089i \(-0.831828\pi\)
0.804087 0.594511i \(-0.202654\pi\)
\(132\) −0.0349231 0.213021i −0.00303966 0.0185411i
\(133\) 5.17862 7.63789i 0.449043 0.662289i
\(134\) 1.51896 3.81229i 0.131218 0.329332i
\(135\) 1.03774 + 0.788873i 0.0893148 + 0.0678954i
\(136\) 6.83694 + 4.11365i 0.586263 + 0.352743i
\(137\) −5.76708 + 1.94316i −0.492715 + 0.166015i −0.554681 0.832063i \(-0.687160\pi\)
0.0619658 + 0.998078i \(0.480263\pi\)
\(138\) 15.3083 + 14.5008i 1.30313 + 1.23439i
\(139\) 1.97846 12.0681i 0.167811 1.02360i −0.759828 0.650124i \(-0.774717\pi\)
0.927639 0.373478i \(-0.121835\pi\)
\(140\) −10.9447 1.19030i −0.924993 0.100599i
\(141\) 2.88322 1.73477i 0.242811 0.146094i
\(142\) −3.12384 + 3.67767i −0.262147 + 0.308623i
\(143\) 0.134360 0.0621614i 0.0112357 0.00519820i
\(144\) 17.0477 + 7.88711i 1.42064 + 0.657259i
\(145\) −0.0837160 0.0985581i −0.00695224 0.00818481i
\(146\) −4.71179 1.58759i −0.389951 0.131390i
\(147\) −2.31149 4.35993i −0.190649 0.359601i
\(148\) 17.9025 + 33.7676i 1.47157 + 2.77568i
\(149\) 3.24907 + 1.09474i 0.266174 + 0.0896845i 0.449224 0.893419i \(-0.351700\pi\)
−0.183050 + 0.983104i \(0.558597\pi\)
\(150\) −5.99729 7.06055i −0.489676 0.576492i
\(151\) −12.2024 5.64543i −0.993017 0.459419i −0.145025 0.989428i \(-0.546326\pi\)
−0.847992 + 0.530009i \(0.822188\pi\)
\(152\) −63.4107 + 29.3369i −5.14328 + 2.37954i
\(153\) −0.474744 + 0.558912i −0.0383808 + 0.0451854i
\(154\) −0.126942 + 0.0763785i −0.0102293 + 0.00615475i
\(155\) 10.0404 + 1.09196i 0.806464 + 0.0877083i
\(156\) −3.83200 + 23.3741i −0.306805 + 1.87143i
\(157\) 7.28190 + 6.89778i 0.581159 + 0.550503i 0.920792 0.390055i \(-0.127544\pi\)
−0.339632 + 0.940558i \(0.610303\pi\)
\(158\) −3.46434 + 1.16727i −0.275608 + 0.0928633i
\(159\) 1.38491 + 0.833274i 0.109831 + 0.0660829i
\(160\) 32.1251 + 24.4209i 2.53971 + 1.93064i
\(161\) 3.99636 10.0301i 0.314957 0.790483i
\(162\) −1.57501 + 2.32297i −0.123745 + 0.182510i
\(163\) 2.50915 + 15.3051i 0.196532 + 1.19879i 0.882200 + 0.470876i \(0.156062\pi\)
−0.685668 + 0.727915i \(0.740490\pi\)
\(164\) 2.06797 + 38.1415i 0.161481 + 2.97835i
\(165\) 0.0467616 + 0.0102930i 0.00364038 + 0.000801309i
\(166\) −9.03847 22.6848i −0.701521 1.76069i
\(167\) 0.608168 2.19042i 0.0470615 0.169500i −0.936285 0.351242i \(-0.885760\pi\)
0.983346 + 0.181741i \(0.0581734\pi\)
\(168\) 0.846545 15.6136i 0.0653124 1.20462i
\(169\) −3.22520 + 0.350762i −0.248093 + 0.0269817i
\(170\) −2.13581 + 1.62360i −0.163809 + 0.124525i
\(171\) −1.71788 6.18724i −0.131369 0.473150i
\(172\) 68.6262 15.1058i 5.23270 1.15180i
\(173\) 2.13983 + 3.15601i 0.162688 + 0.239947i 0.900292 0.435287i \(-0.143353\pi\)
−0.737604 + 0.675234i \(0.764043\pi\)
\(174\) 0.202129 0.191467i 0.0153234 0.0145151i
\(175\) −2.22189 + 4.19093i −0.167959 + 0.316805i
\(176\) 0.689953 0.0520072
\(177\) 3.02351 7.06105i 0.227261 0.530741i
\(178\) −30.9063 −2.31653
\(179\) 1.46289 2.75930i 0.109341 0.206239i −0.822803 0.568327i \(-0.807591\pi\)
0.932144 + 0.362087i \(0.117936\pi\)
\(180\) −5.56168 + 5.26830i −0.414543 + 0.392676i
\(181\) −4.67958 6.90186i −0.347830 0.513011i 0.613024 0.790064i \(-0.289953\pi\)
−0.960855 + 0.277053i \(0.910642\pi\)
\(182\) 15.8758 3.49453i 1.17679 0.259032i
\(183\) −0.910211 3.27828i −0.0672847 0.242338i
\(184\) −65.0785 + 49.4714i −4.79765 + 3.64708i
\(185\) −8.42783 + 0.916582i −0.619627 + 0.0673885i
\(186\) −1.17724 + 21.7129i −0.0863192 + 1.59206i
\(187\) −0.00720614 + 0.0259542i −0.000526965 + 0.00189796i
\(188\) 7.31944 + 18.3704i 0.533825 + 1.33980i
\(189\) 1.40349 + 0.308932i 0.102089 + 0.0224715i
\(190\) −1.27185 23.4579i −0.0922696 1.70181i
\(191\) −2.01000 12.2604i −0.145438 0.887134i −0.954238 0.299049i \(-0.903331\pi\)
0.808800 0.588084i \(-0.200118\pi\)
\(192\) −27.6748 + 40.8172i −1.99725 + 2.94573i
\(193\) 3.15003 7.90598i 0.226744 0.569085i −0.770954 0.636890i \(-0.780220\pi\)
0.997699 + 0.0678054i \(0.0215997\pi\)
\(194\) 5.75822 + 4.37728i 0.413416 + 0.314271i
\(195\) −4.50178 2.70863i −0.322379 0.193969i
\(196\) 27.4829 9.26006i 1.96306 0.661433i
\(197\) 11.5263 + 10.9183i 0.821215 + 0.777896i 0.977749 0.209776i \(-0.0672736\pi\)
−0.156535 + 0.987672i \(0.550032\pi\)
\(198\) −0.0166780 + 0.101731i −0.00118525 + 0.00722972i
\(199\) −2.51155 0.273148i −0.178039 0.0193629i 0.0186650 0.999826i \(-0.494058\pi\)
−0.196704 + 0.980463i \(0.563024\pi\)
\(200\) 30.7737 18.5159i 2.17603 1.30927i
\(201\) −0.946604 + 1.11443i −0.0667683 + 0.0786057i
\(202\) 11.5802 5.35758i 0.814781 0.376958i
\(203\) −0.129385 0.0598600i −0.00908107 0.00420135i
\(204\) −2.79001 3.28465i −0.195340 0.229972i
\(205\) −8.02907 2.70531i −0.560775 0.188947i
\(206\) 13.7362 + 25.9092i 0.957046 + 1.80518i
\(207\) −3.51918 6.63788i −0.244600 0.461365i
\(208\) −71.7434 24.1732i −4.97451 1.67611i
\(209\) −0.152694 0.179766i −0.0105621 0.0124346i
\(210\) 4.77166 + 2.20761i 0.329276 + 0.152339i
\(211\) 18.9138 8.75045i 1.30208 0.602406i 0.358493 0.933533i \(-0.383291\pi\)
0.943586 + 0.331127i \(0.107429\pi\)
\(212\) −6.14926 + 7.23946i −0.422333 + 0.497208i
\(213\) 1.47318 0.886386i 0.100941 0.0607342i
\(214\) 6.37441 + 0.693259i 0.435746 + 0.0473902i
\(215\) −2.52160 + 15.3811i −0.171971 + 1.04898i
\(216\) −7.89934 7.48265i −0.537482 0.509130i
\(217\) 10.5514 3.55519i 0.716277 0.241342i
\(218\) 13.1372 + 7.90440i 0.889765 + 0.535354i
\(219\) 1.41034 + 1.07211i 0.0953019 + 0.0724466i
\(220\) −0.104153 + 0.261405i −0.00702201 + 0.0176239i
\(221\) 1.65865 2.44632i 0.111573 0.164557i
\(222\) −2.95291 18.0119i −0.198186 1.20888i
\(223\) −0.595157 10.9770i −0.0398546 0.735076i −0.948359 0.317200i \(-0.897257\pi\)
0.908504 0.417876i \(-0.137225\pi\)
\(224\) 43.4474 + 9.56350i 2.90295 + 0.638988i
\(225\) 1.22174 + 3.06633i 0.0814493 + 0.204422i
\(226\) −3.49786 + 12.5982i −0.232674 + 0.838018i
\(227\) −1.02311 + 18.8702i −0.0679065 + 1.25246i 0.743803 + 0.668399i \(0.233020\pi\)
−0.811709 + 0.584062i \(0.801463\pi\)
\(228\) 37.5158 4.08009i 2.48455 0.270211i
\(229\) 16.9706 12.9007i 1.12145 0.852505i 0.131139 0.991364i \(-0.458136\pi\)
0.990312 + 0.138859i \(0.0443434\pi\)
\(230\) −7.35343 26.4847i −0.484871 1.74635i
\(231\) 0.0515521 0.0113475i 0.00339188 0.000746609i
\(232\) 0.605736 + 0.893393i 0.0397685 + 0.0586541i
\(233\) −12.7574 + 12.0844i −0.835764 + 0.791678i −0.980236 0.197831i \(-0.936610\pi\)
0.144472 + 0.989509i \(0.453852\pi\)
\(234\) 5.29847 9.99398i 0.346372 0.653327i
\(235\) −4.38627 −0.286129
\(236\) 38.0755 + 24.2481i 2.47850 + 1.57842i
\(237\) 1.30255 0.0846098
\(238\) −1.38542 + 2.61318i −0.0898034 + 0.169387i
\(239\) −7.63987 + 7.23686i −0.494182 + 0.468114i −0.893734 0.448596i \(-0.851924\pi\)
0.399553 + 0.916710i \(0.369165\pi\)
\(240\) −13.7410 20.2664i −0.886976 1.30819i
\(241\) 7.89970 1.73886i 0.508865 0.112010i 0.0468854 0.998900i \(-0.485070\pi\)
0.461979 + 0.886891i \(0.347139\pi\)
\(242\) −8.25821 29.7434i −0.530858 1.91198i
\(243\) 0.796093 0.605174i 0.0510694 0.0388219i
\(244\) 19.8776 2.16182i 1.27253 0.138396i
\(245\) −0.348260 + 6.42328i −0.0222495 + 0.410368i
\(246\) 4.88018 17.5768i 0.311149 1.12066i
\(247\) 9.57935 + 24.0423i 0.609519 + 1.52978i
\(248\) −82.3305 18.1223i −5.22799 1.15077i
\(249\) 0.471047 + 8.68794i 0.0298514 + 0.550576i
\(250\) 4.91305 + 29.9683i 0.310729 + 1.89536i
\(251\) 13.1610 19.4110i 0.830713 1.22521i −0.141226 0.989977i \(-0.545105\pi\)
0.971939 0.235232i \(-0.0755851\pi\)
\(252\) −3.12603 + 7.84574i −0.196921 + 0.494235i
\(253\) −0.219694 0.167007i −0.0138120 0.0104996i
\(254\) −11.9756 7.20551i −0.751419 0.452114i
\(255\) 0.905884 0.305228i 0.0567286 0.0191141i
\(256\) −84.2526 79.8083i −5.26579 4.98802i
\(257\) −1.77496 + 10.8268i −0.110719 + 0.675355i 0.871895 + 0.489693i \(0.162891\pi\)
−0.982614 + 0.185662i \(0.940557\pi\)
\(258\) −33.3612 3.62825i −2.07698 0.225885i
\(259\) −8.00820 + 4.81837i −0.497605 + 0.299399i
\(260\) 19.9887 23.5325i 1.23965 1.45943i
\(261\) −0.0900329 + 0.0416537i −0.00557290 + 0.00257830i
\(262\) −32.0754 14.8397i −1.98162 0.916797i
\(263\) −11.0285 12.9838i −0.680049 0.800615i 0.308547 0.951209i \(-0.400157\pi\)
−0.988596 + 0.150594i \(0.951881\pi\)
\(264\) −0.378742 0.127613i −0.0233099 0.00785403i
\(265\) −0.986881 1.86146i −0.0606236 0.114348i
\(266\) −12.1313 22.8821i −0.743818 1.40299i
\(267\) 10.4357 + 3.51619i 0.638653 + 0.215187i
\(268\) −5.56306 6.54934i −0.339818 0.400065i
\(269\) 13.5294 + 6.25939i 0.824905 + 0.381642i 0.786477 0.617620i \(-0.211903\pi\)
0.0384279 + 0.999261i \(0.487765\pi\)
\(270\) 3.32037 1.53616i 0.202071 0.0934880i
\(271\) 0.607704 0.715445i 0.0369154 0.0434602i −0.743395 0.668853i \(-0.766785\pi\)
0.780310 + 0.625393i \(0.215061\pi\)
\(272\) 11.8029 7.10156i 0.715655 0.430595i
\(273\) −5.75811 0.626232i −0.348497 0.0379013i
\(274\) −2.76321 + 16.8548i −0.166931 + 1.01824i
\(275\) 0.0880208 + 0.0833777i 0.00530785 + 0.00502787i
\(276\) 41.8419 14.0982i 2.51859 0.848612i
\(277\) −26.6047 16.0075i −1.59852 0.961798i −0.985088 0.172050i \(-0.944961\pi\)
−0.613432 0.789747i \(-0.710212\pi\)
\(278\) −27.3236 20.7709i −1.63876 1.24576i
\(279\) 2.86775 7.19752i 0.171688 0.430904i
\(280\) −11.4387 + 16.8708i −0.683590 + 1.00822i
\(281\) 2.78993 + 17.0178i 0.166433 + 1.01520i 0.929485 + 0.368860i \(0.120252\pi\)
−0.763052 + 0.646337i \(0.776300\pi\)
\(282\) −0.511275 9.42992i −0.0304460 0.561543i
\(283\) 10.7983 + 2.37690i 0.641895 + 0.141292i 0.523978 0.851732i \(-0.324447\pi\)
0.117917 + 0.993023i \(0.462378\pi\)
\(284\) 3.73988 + 9.38640i 0.221921 + 0.556980i
\(285\) −2.23933 + 8.06535i −0.132647 + 0.477750i
\(286\) 0.0224943 0.414883i 0.00133012 0.0245325i
\(287\) −9.28581 + 1.00989i −0.548124 + 0.0596121i
\(288\) 24.6444 18.7342i 1.45219 1.10392i
\(289\) −4.40411 15.8622i −0.259066 0.933070i
\(290\) −0.354444 + 0.0780190i −0.0208137 + 0.00458143i
\(291\) −1.44629 2.13312i −0.0847830 0.125046i
\(292\) −7.55856 + 7.15985i −0.442332 + 0.418999i
\(293\) −11.3369 + 21.3836i −0.662307 + 1.24924i 0.293699 + 0.955898i \(0.405114\pi\)
−0.956006 + 0.293346i \(0.905231\pi\)
\(294\) −13.8498 −0.807738
\(295\) −8.12248 + 5.85492i −0.472909 + 0.340887i
\(296\) 70.7619 4.11295
\(297\) 0.0172053 0.0324526i 0.000998351 0.00188309i
\(298\) 6.98587 6.61736i 0.404680 0.383334i
\(299\) 16.9932 + 25.0630i 0.982740 + 1.44943i
\(300\) −18.9446 + 4.17003i −1.09377 + 0.240757i
\(301\) 4.59698 + 16.5568i 0.264965 + 0.954319i
\(302\) −30.0402 + 22.8360i −1.72862 + 1.31406i
\(303\) −4.51964 + 0.491541i −0.259647 + 0.0282383i
\(304\) −6.53003 + 120.439i −0.374523 + 6.90767i
\(305\) −1.18650 + 4.27339i −0.0679389 + 0.244694i
\(306\) 0.761793 + 1.91196i 0.0435488 + 0.109299i
\(307\) −13.2695 2.92085i −0.757333 0.166702i −0.180513 0.983573i \(-0.557776\pi\)
−0.576820 + 0.816871i \(0.695707\pi\)
\(308\) 0.0167948 + 0.309762i 0.000956974 + 0.0176503i
\(309\) −1.69042 10.3111i −0.0961648 0.586579i
\(310\) 15.9070 23.4611i 0.903458 1.33250i
\(311\) 2.89840 7.27444i 0.164353 0.412496i −0.823616 0.567148i \(-0.808047\pi\)
0.987969 + 0.154653i \(0.0494259\pi\)
\(312\) 34.9116 + 26.5391i 1.97648 + 1.50248i
\(313\) −9.41911 5.66729i −0.532400 0.320334i 0.223843 0.974625i \(-0.428140\pi\)
−0.756243 + 0.654291i \(0.772967\pi\)
\(314\) 26.6770 8.98853i 1.50547 0.507252i
\(315\) −1.36002 1.28828i −0.0766283 0.0725861i
\(316\) −1.23843 + 7.55407i −0.0696670 + 0.424950i
\(317\) −17.8894 1.94559i −1.00477 0.109275i −0.409088 0.912495i \(-0.634153\pi\)
−0.595683 + 0.803220i \(0.703119\pi\)
\(318\) 3.88686 2.33864i 0.217964 0.131145i
\(319\) −0.00235895 + 0.00277717i −0.000132076 + 0.000155492i
\(320\) 58.3426 26.9921i 3.26145 1.50891i
\(321\) −2.07348 0.959293i −0.115730 0.0535425i
\(322\) −19.6174 23.0954i −1.09323 1.28705i
\(323\) −4.46240 1.50356i −0.248295 0.0836602i
\(324\) 2.75277 + 5.19228i 0.152932 + 0.288460i
\(325\) −6.23145 11.7538i −0.345659 0.651981i
\(326\) 41.2498 + 13.8987i 2.28462 + 0.769777i
\(327\) −3.53657 4.16357i −0.195573 0.230246i
\(328\) 64.1843 + 29.6948i 3.54399 + 1.63962i
\(329\) −4.38869 + 2.03042i −0.241956 + 0.111941i
\(330\) 0.0869968 0.102421i 0.00478902 0.00563807i
\(331\) −4.13584 + 2.48845i −0.227326 + 0.136778i −0.624661 0.780896i \(-0.714763\pi\)
0.397335 + 0.917674i \(0.369935\pi\)
\(332\) −50.8331 5.52843i −2.78983 0.303412i
\(333\) −1.05214 + 6.41776i −0.0576568 + 0.351691i
\(334\) −4.63195 4.38762i −0.253449 0.240080i
\(335\) 1.80626 0.608600i 0.0986866 0.0332514i
\(336\) −23.1300 13.9168i −1.26184 0.759226i
\(337\) 21.4554 + 16.3100i 1.16875 + 0.888461i 0.995344 0.0963888i \(-0.0307292\pi\)
0.173407 + 0.984850i \(0.444522\pi\)
\(338\) −3.37016 + 8.45847i −0.183313 + 0.460080i
\(339\) 2.61435 3.85588i 0.141992 0.209423i
\(340\) 0.908864 + 5.54382i 0.0492900 + 0.300656i
\(341\) −0.0154072 0.284169i −0.000834347 0.0153886i
\(342\) −17.6005 3.87416i −0.951726 0.209491i
\(343\) 6.34836 + 15.9332i 0.342779 + 0.860311i
\(344\) 34.8053 125.357i 1.87658 6.75882i
\(345\) −0.530216 + 9.77926i −0.0285459 + 0.526498i
\(346\) 10.6388 1.15704i 0.571948 0.0622031i
\(347\) 17.1241 13.0174i 0.919270 0.698811i −0.0344821 0.999405i \(-0.510978\pi\)
0.953752 + 0.300595i \(0.0971851\pi\)
\(348\) −0.155967 0.561744i −0.00836073 0.0301126i
\(349\) 1.04890 0.230881i 0.0561466 0.0123588i −0.186808 0.982396i \(-0.559814\pi\)
0.242955 + 0.970038i \(0.421883\pi\)
\(350\) 7.47107 + 11.0190i 0.399345 + 0.588990i
\(351\) −2.92606 + 2.77171i −0.156182 + 0.147943i
\(352\) 0.532618 1.00462i 0.0283886 0.0535466i
\(353\) −12.2525 −0.652134 −0.326067 0.945347i \(-0.605723\pi\)
−0.326067 + 0.945347i \(0.605723\pi\)
\(354\) −13.5341 16.7798i −0.719330 0.891838i
\(355\) −2.24117 −0.118949
\(356\) −30.3139 + 57.1780i −1.60663 + 3.03043i
\(357\) 0.765093 0.724734i 0.0404930 0.0383570i
\(358\) −4.91892 7.25487i −0.259973 0.383432i
\(359\) −33.4112 + 7.35436i −1.76338 + 0.388148i −0.974141 0.225942i \(-0.927454\pi\)
−0.789236 + 0.614091i \(0.789523\pi\)
\(360\) 3.79449 + 13.6665i 0.199987 + 0.720289i
\(361\) 17.6996 13.4549i 0.931555 0.708150i
\(362\) −23.2660 + 2.53033i −1.22284 + 0.132991i
\(363\) −0.595455 + 10.9825i −0.0312533 + 0.576433i
\(364\) 9.10644 32.7984i 0.477307 1.71910i
\(365\) −0.854772 2.14532i −0.0447408 0.112291i
\(366\) −9.32555 2.05271i −0.487454 0.107297i
\(367\) −0.463399 8.54690i −0.0241893 0.446145i −0.985392 0.170302i \(-0.945526\pi\)
0.961203 0.275843i \(-0.0889570\pi\)
\(368\) 22.8313 + 139.265i 1.19016 + 7.25967i
\(369\) −3.64751 + 5.37968i −0.189882 + 0.280055i
\(370\) −8.80663 + 22.1030i −0.457835 + 1.14908i
\(371\) −1.84910 1.40565i −0.0960007 0.0729778i
\(372\) 39.0150 + 23.4746i 2.02283 + 1.21710i
\(373\) −25.3490 + 8.54108i −1.31252 + 0.442240i −0.886607 0.462523i \(-0.846944\pi\)
−0.425915 + 0.904763i \(0.640048\pi\)
\(374\) 0.0548837 + 0.0519886i 0.00283797 + 0.00268827i
\(375\) 1.75055 10.6779i 0.0903981 0.551404i
\(376\) 36.3976 + 3.95847i 1.87706 + 0.204143i
\(377\) 0.342591 0.206130i 0.0176444 0.0106163i
\(378\) 2.61110 3.07403i 0.134301 0.158111i
\(379\) −16.0655 + 7.43269i −0.825229 + 0.381792i −0.786601 0.617462i \(-0.788161\pi\)
−0.0386286 + 0.999254i \(0.512299\pi\)
\(380\) −44.6455 20.6552i −2.29026 1.05959i
\(381\) 3.22387 + 3.79543i 0.165164 + 0.194446i
\(382\) −33.0439 11.1338i −1.69067 0.569654i
\(383\) −7.71987 14.5612i −0.394467 0.744043i 0.604136 0.796881i \(-0.293518\pi\)
−0.998603 + 0.0528376i \(0.983173\pi\)
\(384\) 35.8295 + 67.5816i 1.82842 + 3.44876i
\(385\) −0.0652073 0.0219709i −0.00332327 0.00111974i
\(386\) −15.4629 18.2043i −0.787041 0.926576i
\(387\) 10.8518 + 5.02057i 0.551628 + 0.255210i
\(388\) 13.7460 6.35957i 0.697847 0.322858i
\(389\) 5.53137 6.51203i 0.280452 0.330173i −0.603842 0.797104i \(-0.706364\pi\)
0.884294 + 0.466931i \(0.154640\pi\)
\(390\) −12.6346 + 7.60198i −0.639777 + 0.384941i
\(391\) −5.47722 0.595683i −0.276995 0.0301250i
\(392\) 8.68669 52.9865i 0.438744 2.67622i
\(393\) 9.14211 + 8.65987i 0.461159 + 0.436833i
\(394\) 42.2262 14.2277i 2.12733 0.716779i
\(395\) −1.45489 0.875378i −0.0732034 0.0440450i
\(396\) 0.171849 + 0.130636i 0.00863572 + 0.00656470i
\(397\) 1.72865 4.33858i 0.0867584 0.217747i −0.879196 0.476461i \(-0.841919\pi\)
0.965954 + 0.258714i \(0.0832986\pi\)
\(398\) −3.97906 + 5.86867i −0.199452 + 0.294170i
\(399\) 1.49292 + 9.10641i 0.0747395 + 0.455891i
\(400\) −3.35666 61.9099i −0.167833 3.09550i
\(401\) 28.3915 + 6.24945i 1.41781 + 0.312083i 0.856765 0.515706i \(-0.172470\pi\)
0.561040 + 0.827789i \(0.310401\pi\)
\(402\) 1.51896 + 3.81229i 0.0757586 + 0.190140i
\(403\) −8.35405 + 30.0886i −0.416145 + 1.49882i
\(404\) 1.44648 26.6788i 0.0719651 1.32732i
\(405\) −1.29591 + 0.140938i −0.0643940 + 0.00700327i
\(406\) −0.318524 + 0.242136i −0.0158081 + 0.0120170i
\(407\) 0.0639071 + 0.230173i 0.00316776 + 0.0114092i
\(408\) −7.79254 + 1.71527i −0.385788 + 0.0849184i
\(409\) −10.0222 14.7816i −0.495564 0.730903i 0.494858 0.868974i \(-0.335220\pi\)
−0.990422 + 0.138071i \(0.955910\pi\)
\(410\) −17.2634 + 16.3528i −0.852579 + 0.807605i
\(411\) 2.85057 5.37674i 0.140608 0.265215i
\(412\) 61.4060 3.02525
\(413\) −5.41670 + 9.61809i −0.266538 + 0.473275i
\(414\) −21.0860 −1.03632
\(415\) 5.31258 10.0206i 0.260784 0.491892i
\(416\) −90.5812 + 85.8030i −4.44111 + 4.20684i
\(417\) 6.86287 + 10.1220i 0.336076 + 0.495675i
\(418\) −0.646490 + 0.142303i −0.0316209 + 0.00696028i
\(419\) 7.65622 + 27.5752i 0.374031 + 1.34714i 0.876025 + 0.482266i \(0.160186\pi\)
−0.501994 + 0.864871i \(0.667400\pi\)
\(420\) 8.76435 6.66248i 0.427656 0.325096i
\(421\) −18.6848 + 2.03210i −0.910642 + 0.0990383i −0.551433 0.834219i \(-0.685919\pi\)
−0.359209 + 0.933257i \(0.616953\pi\)
\(422\) 3.16652 58.4030i 0.154144 2.84301i
\(423\) −0.900199 + 3.24222i −0.0437692 + 0.157642i
\(424\) 6.50930 + 16.3371i 0.316120 + 0.793401i
\(425\) 2.36394 + 0.520343i 0.114668 + 0.0252404i
\(426\) −0.261237 4.81823i −0.0126570 0.233444i
\(427\) 0.791017 + 4.82499i 0.0382800 + 0.233498i
\(428\) 7.53477 11.1130i 0.364207 0.537165i
\(429\) −0.0547961 + 0.137528i −0.00264558 + 0.00663991i
\(430\) 34.8246 + 26.4730i 1.67939 + 1.27664i
\(431\) −29.0565 17.4827i −1.39960 0.842113i −0.402300 0.915508i \(-0.631789\pi\)
−0.997303 + 0.0733948i \(0.976617\pi\)
\(432\) −17.8005 + 5.99769i −0.856428 + 0.288564i
\(433\) 10.9578 + 10.3798i 0.526597 + 0.498819i 0.904177 0.427158i \(-0.140485\pi\)
−0.377580 + 0.925977i \(0.623244\pi\)
\(434\) 5.05555 30.8375i 0.242674 1.48025i
\(435\) 0.128556 + 0.0139813i 0.00616378 + 0.000670351i
\(436\) 27.5088 16.5515i 1.31743 0.792674i
\(437\) 31.2322 36.7694i 1.49404 1.75892i
\(438\) 4.51252 2.08771i 0.215617 0.0997549i
\(439\) −9.94298 4.60011i −0.474552 0.219551i 0.168009 0.985785i \(-0.446266\pi\)
−0.642561 + 0.766234i \(0.722128\pi\)
\(440\) 0.337275 + 0.397070i 0.0160789 + 0.0189296i
\(441\) 4.67646 + 1.57568i 0.222688 + 0.0750324i
\(442\) −3.88550 7.32884i −0.184815 0.348597i
\(443\) 10.2733 + 19.3775i 0.488100 + 0.920654i 0.998167 + 0.0605196i \(0.0192758\pi\)
−0.510067 + 0.860135i \(0.670379\pi\)
\(444\) −36.2191 12.2036i −1.71888 0.579159i
\(445\) −9.29311 10.9407i −0.440536 0.518639i
\(446\) −28.0015 12.9549i −1.32591 0.613431i
\(447\) −3.11166 + 1.43961i −0.147177 + 0.0680911i
\(448\) 45.8800 54.0141i 2.16763 2.55193i
\(449\) −18.9443 + 11.3984i −0.894039 + 0.537925i −0.886854 0.462049i \(-0.847114\pi\)
−0.00718437 + 0.999974i \(0.502287\pi\)
\(450\) 9.20954 + 1.00160i 0.434142 + 0.0472158i
\(451\) −0.0386239 + 0.235595i −0.00181873 + 0.0110938i
\(452\) 19.8763 + 18.8278i 0.934903 + 0.885587i
\(453\) 12.7412 4.29303i 0.598636 0.201704i
\(454\) 45.4464 + 27.3442i 2.13291 + 1.28333i
\(455\) 6.01068 + 4.56920i 0.281785 + 0.214207i
\(456\) 25.8609 64.9059i 1.21105 3.03950i
\(457\) 7.34530 10.8335i 0.343599 0.506770i −0.616151 0.787628i \(-0.711309\pi\)
0.959749 + 0.280858i \(0.0906191\pi\)
\(458\) −9.67924 59.0407i −0.452281 2.75879i
\(459\) −0.0397014 0.732249i −0.00185310 0.0341785i
\(460\) −56.2102 12.3728i −2.62081 0.576885i
\(461\) −9.12304 22.8971i −0.424903 1.06642i −0.973163 0.230117i \(-0.926089\pi\)
0.548260 0.836308i \(-0.315290\pi\)
\(462\) 0.0396339 0.142748i 0.00184394 0.00664126i
\(463\) −0.829924 + 15.3070i −0.0385698 + 0.711379i 0.913750 + 0.406277i \(0.133173\pi\)
−0.952320 + 0.305102i \(0.901310\pi\)
\(464\) 1.85246 0.201467i 0.0859982 0.00935287i
\(465\) −8.04023 + 6.11202i −0.372857 + 0.283438i
\(466\) 13.1939 + 47.5203i 0.611197 + 2.20133i
\(467\) 30.0830 6.62178i 1.39208 0.306419i 0.545244 0.838277i \(-0.316437\pi\)
0.846834 + 0.531858i \(0.178506\pi\)
\(468\) −13.2924 19.6048i −0.614440 0.906232i
\(469\) 1.52554 1.44506i 0.0704427 0.0667269i
\(470\) −5.76629 + 10.8764i −0.265979 + 0.501690i
\(471\) −10.0302 −0.462169
\(472\) 72.6848 41.2542i 3.34559 1.89888i
\(473\) 0.439193 0.0201941
\(474\) 1.71236 3.22986i 0.0786515 0.148353i
\(475\) −15.3876 + 14.5759i −0.706032 + 0.668789i
\(476\) 3.47563 + 5.12617i 0.159305 + 0.234957i
\(477\) −1.57848 + 0.347450i −0.0722737 + 0.0159086i
\(478\) 7.90129 + 28.4579i 0.361397 + 1.30163i
\(479\) 28.9241 21.9876i 1.32158 1.00464i 0.323280 0.946303i \(-0.395214\pi\)
0.998297 0.0583338i \(-0.0185788\pi\)
\(480\) −40.1169 + 4.36298i −1.83108 + 0.199142i
\(481\) 1.41906 26.1731i 0.0647037 1.19339i
\(482\) 6.07339 21.8744i 0.276635 0.996351i
\(483\) 3.99636 + 10.0301i 0.181841 + 0.456386i
\(484\) −63.1264 13.8952i −2.86938 0.631598i
\(485\) 0.181879 + 3.35457i 0.00825872 + 0.152323i
\(486\) −0.454053 2.76960i −0.0205963 0.125632i
\(487\) −3.45577 + 5.09688i −0.156596 + 0.230962i −0.897891 0.440217i \(-0.854901\pi\)
0.741295 + 0.671179i \(0.234212\pi\)
\(488\) 13.7023 34.3901i 0.620273 1.55677i
\(489\) −12.3470 9.38592i −0.558349 0.424446i
\(490\) 15.4696 + 9.30775i 0.698845 + 0.420481i
\(491\) 27.8230 9.37466i 1.25564 0.423073i 0.388640 0.921390i \(-0.372945\pi\)
0.866995 + 0.498317i \(0.166048\pi\)
\(492\) −27.7312 26.2684i −1.25022 1.18427i
\(493\) −0.0117692 + 0.0717886i −0.000530056 + 0.00323320i
\(494\) 72.2097 + 7.85327i 3.24887 + 0.353335i
\(495\) −0.0410272 + 0.0246852i −0.00184403 + 0.00110952i
\(496\) −94.2159 + 110.920i −4.23042 + 4.98044i
\(497\) −2.24241 + 1.03745i −0.100586 + 0.0465360i
\(498\) 22.1622 + 10.2533i 0.993114 + 0.459463i
\(499\) 28.2428 + 33.2499i 1.26432 + 1.48847i 0.796488 + 0.604655i \(0.206689\pi\)
0.467832 + 0.883817i \(0.345035\pi\)
\(500\) 60.2615 + 20.3045i 2.69497 + 0.908043i
\(501\) 1.06483 + 2.00847i 0.0475729 + 0.0897320i
\(502\) −30.8306 58.1526i −1.37604 2.59548i
\(503\) −2.25892 0.761119i −0.100720 0.0339366i 0.268490 0.963282i \(-0.413475\pi\)
−0.369211 + 0.929346i \(0.620372\pi\)
\(504\) 10.1229 + 11.9176i 0.450909 + 0.530851i
\(505\) 5.37857 + 2.48839i 0.239343 + 0.110732i
\(506\) −0.702931 + 0.325211i −0.0312491 + 0.0144574i
\(507\) 2.10026 2.47262i 0.0932760 0.109813i
\(508\) −25.0766 + 15.0881i −1.11259 + 0.669425i
\(509\) 38.3004 + 4.16542i 1.69764 + 0.184629i 0.905101 0.425198i \(-0.139795\pi\)
0.792535 + 0.609827i \(0.208761\pi\)
\(510\) 0.434040 2.64753i 0.0192196 0.117234i
\(511\) −1.84832 1.75082i −0.0817649 0.0774519i
\(512\) −163.681 + 55.1504i −7.23373 + 2.43733i
\(513\) 5.50213 + 3.31052i 0.242925 + 0.146163i
\(514\) 24.5131 + 18.6344i 1.08123 + 0.821927i
\(515\) −5.04145 + 12.6531i −0.222153 + 0.557562i
\(516\) −39.4341 + 58.1609i −1.73599 + 2.56039i
\(517\) 0.0199956 + 0.121968i 0.000879408 + 0.00536415i
\(518\) 1.42008 + 26.1918i 0.0623947 + 1.15080i
\(519\) −3.72389 0.819691i −0.163461 0.0359804i
\(520\) −21.1591 53.1053i −0.927887 2.32882i
\(521\) −1.06799 + 3.84657i −0.0467897 + 0.168521i −0.983254 0.182243i \(-0.941664\pi\)
0.936464 + 0.350764i \(0.114078\pi\)
\(522\) −0.0150732 + 0.278008i −0.000659735 + 0.0121681i
\(523\) 5.33882 0.580632i 0.233450 0.0253893i 0.00935399 0.999956i \(-0.497022\pi\)
0.224096 + 0.974567i \(0.428057\pi\)
\(524\) −58.9145 + 44.7856i −2.57369 + 1.95647i
\(525\) −1.26902 4.57059i −0.0553845 0.199477i
\(526\) −46.6936 + 10.2780i −2.03594 + 0.448143i
\(527\) −3.18847 4.70264i −0.138892 0.204850i
\(528\) −0.500903 + 0.474481i −0.0217990 + 0.0206491i
\(529\) 15.6664 29.5500i 0.681149 1.28478i
\(530\) −5.91312 −0.256850
\(531\) 2.66083 + 7.20555i 0.115470 + 0.312694i
\(532\) −54.2315 −2.35123
\(533\) 12.2705 23.1447i 0.531496 1.00251i
\(534\) 22.4379 21.2543i 0.970981 0.919762i
\(535\) 1.67129 + 2.46496i 0.0722560 + 0.106570i
\(536\) −15.5377 + 3.42011i −0.671128 + 0.147726i
\(537\) 0.835517 + 3.00926i 0.0360552 + 0.129859i
\(538\) 33.3072 25.3194i 1.43597 1.09160i
\(539\) 0.180198 0.0195977i 0.00776169 0.000844135i
\(540\) 0.414745 7.64953i 0.0178478 0.329183i
\(541\) −2.62518 + 9.45503i −0.112865 + 0.406503i −0.998302 0.0582569i \(-0.981446\pi\)
0.885436 + 0.464760i \(0.153860\pi\)
\(542\) −0.975145 2.44743i −0.0418861 0.105126i
\(543\) 8.14376 + 1.79258i 0.349482 + 0.0769268i
\(544\) −1.22902 22.6680i −0.0526940 0.971883i
\(545\) 1.15206 + 7.02725i 0.0493488 + 0.301015i
\(546\) −9.12257 + 13.4548i −0.390410 + 0.575812i
\(547\) −4.68519 + 11.7589i −0.200324 + 0.502776i −0.994479 0.104940i \(-0.966535\pi\)
0.794154 + 0.607716i \(0.207914\pi\)
\(548\) 28.4719 + 21.6437i 1.21626 + 0.924575i
\(549\) 2.91528 + 1.75407i 0.124421 + 0.0748617i
\(550\) 0.322461 0.108650i 0.0137498 0.00463284i
\(551\) −0.462461 0.438066i −0.0197015 0.0186622i
\(552\) 13.2253 80.6705i 0.562904 3.43356i
\(553\) −1.86091 0.202386i −0.0791339 0.00860633i
\(554\) −74.6680 + 44.9263i −3.17234 + 1.90873i
\(555\) 5.48824 6.46125i 0.232963 0.274265i
\(556\) −65.2268 + 30.1771i −2.76623 + 1.27980i
\(557\) −4.96242 2.29586i −0.210264 0.0972787i 0.311930 0.950105i \(-0.399024\pi\)
−0.522195 + 0.852826i \(0.674887\pi\)
\(558\) −14.0773 16.5730i −0.595938 0.701592i
\(559\) −45.6686 15.3875i −1.93158 0.650824i
\(560\) 16.4823 + 31.0889i 0.696505 + 1.31375i
\(561\) −0.0126170 0.0237983i −0.000532692 0.00100476i
\(562\) 45.8658 + 15.4540i 1.93473 + 0.651887i
\(563\) −22.4104 26.3835i −0.944485 1.11193i −0.993579 0.113139i \(-0.963909\pi\)
0.0490942 0.998794i \(-0.484367\pi\)
\(564\) −17.9472 8.30326i −0.755714 0.349630i
\(565\) −5.51145 + 2.54987i −0.231868 + 0.107274i
\(566\) 20.0896 23.6513i 0.844429 0.994139i
\(567\) −1.23138 + 0.740897i −0.0517131 + 0.0311147i
\(568\) 18.5974 + 2.02259i 0.780330 + 0.0848660i
\(569\) 1.46975 8.96507i 0.0616150 0.375835i −0.937962 0.346739i \(-0.887289\pi\)
0.999577 0.0290959i \(-0.00926283\pi\)
\(570\) 17.0553 + 16.1557i 0.714368 + 0.676686i
\(571\) −8.41697 + 2.83601i −0.352239 + 0.118683i −0.489858 0.871802i \(-0.662952\pi\)
0.137619 + 0.990485i \(0.456055\pi\)
\(572\) −0.745487 0.448545i −0.0311704 0.0187546i
\(573\) 9.89074 + 7.51875i 0.413192 + 0.314100i
\(574\) −9.70316 + 24.3531i −0.405002 + 1.01648i
\(575\) −13.9168 + 20.5257i −0.580371 + 0.855983i
\(576\) −7.97823 48.6650i −0.332426 2.02771i
\(577\) 0.922146 + 17.0080i 0.0383895 + 0.708052i 0.952862 + 0.303404i \(0.0981232\pi\)
−0.914473 + 0.404648i \(0.867394\pi\)
\(578\) −45.1223 9.93217i −1.87684 0.413124i
\(579\) 3.15003 + 7.90598i 0.130911 + 0.328561i
\(580\) −0.203311 + 0.732259i −0.00844202 + 0.0304054i
\(581\) 0.676936 12.4854i 0.0280840 0.517980i
\(582\) −7.19070 + 0.782035i −0.298064 + 0.0324164i
\(583\) −0.0472622 + 0.0359278i −0.00195740 + 0.00148798i
\(584\) 5.15688 + 18.5734i 0.213393 + 0.768572i
\(585\) 5.13100 1.12942i 0.212141 0.0466957i
\(586\) 38.1200 + 56.2228i 1.57472 + 2.32254i
\(587\) 23.6925 22.4428i 0.977896 0.926312i −0.0193993 0.999812i \(-0.506175\pi\)
0.997295 + 0.0734996i \(0.0234168\pi\)
\(588\) −13.5843 + 25.6227i −0.560207 + 1.05666i
\(589\) 49.7508 2.04995
\(590\) 3.84010 + 27.8379i 0.158095 + 1.14607i
\(591\) −15.8765 −0.653074
\(592\) 57.2203 107.929i 2.35174 4.43586i
\(593\) 10.2524 9.71161i 0.421016 0.398808i −0.447647 0.894210i \(-0.647738\pi\)
0.868664 + 0.495402i \(0.164979\pi\)
\(594\) −0.0578523 0.0853258i −0.00237371 0.00350096i
\(595\) −1.34163 + 0.295315i −0.0550014 + 0.0121067i
\(596\) −5.39045 19.4146i −0.220801 0.795255i
\(597\) 2.01122 1.52889i 0.0823138 0.0625733i
\(598\) 84.4870 9.18851i 3.45493 0.375746i
\(599\) 1.81453 33.4671i 0.0741397 1.36743i −0.690670 0.723170i \(-0.742684\pi\)
0.764809 0.644257i \(-0.222833\pi\)
\(600\) −9.60819 + 34.6056i −0.392253 + 1.41277i
\(601\) −12.0913 30.3469i −0.493215 1.23788i −0.939365 0.342918i \(-0.888585\pi\)
0.446150 0.894958i \(-0.352795\pi\)
\(602\) 47.0983 + 10.3671i 1.91958 + 0.422532i
\(603\) −0.0791615 1.46005i −0.00322371 0.0594578i
\(604\) 12.7832 + 77.9738i 0.520139 + 3.17271i
\(605\) 8.04588 11.8668i 0.327112 0.482454i
\(606\) −4.72278 + 11.8533i −0.191850 + 0.481507i
\(607\) 12.7652 + 9.70384i 0.518123 + 0.393867i 0.831297 0.555829i \(-0.187599\pi\)
−0.313174 + 0.949696i \(0.601392\pi\)
\(608\) 170.328 + 102.483i 6.90770 + 4.15623i
\(609\) 0.135099 0.0455201i 0.00547448 0.00184457i
\(610\) 9.03669 + 8.56000i 0.365885 + 0.346584i
\(611\) 2.19406 13.3832i 0.0887621 0.541425i
\(612\) 4.28439 + 0.465955i 0.173186 + 0.0188351i
\(613\) 18.6457 11.2188i 0.753094 0.453122i −0.0865574 0.996247i \(-0.527587\pi\)
0.839652 + 0.543125i \(0.182759\pi\)
\(614\) −24.6871 + 29.0639i −0.996291 + 1.17292i
\(615\) 7.68951 3.55755i 0.310071 0.143454i
\(616\) 0.521267 + 0.241164i 0.0210024 + 0.00971676i
\(617\) 4.14417 + 4.87890i 0.166838 + 0.196417i 0.839227 0.543781i \(-0.183008\pi\)
−0.672389 + 0.740198i \(0.734732\pi\)
\(618\) −27.7902 9.36360i −1.11788 0.376659i
\(619\) −13.7814 25.9945i −0.553921 1.04481i −0.989483 0.144648i \(-0.953795\pi\)
0.435562 0.900159i \(-0.356550\pi\)
\(620\) −27.8019 52.4400i −1.11655 2.10604i
\(621\) 7.11978 + 2.39893i 0.285707 + 0.0962658i
\(622\) −14.2277 16.7501i −0.570479 0.671620i
\(623\) −14.3627 6.64491i −0.575431 0.266223i
\(624\) 68.7093 31.7883i 2.75057 1.27255i
\(625\) 1.55301 1.82834i 0.0621203 0.0731337i
\(626\) −26.4354 + 15.9057i −1.05657 + 0.635719i
\(627\) 0.234480 + 0.0255012i 0.00936423 + 0.00101842i
\(628\) 9.53645 58.1698i 0.380546 2.32123i
\(629\) 3.46237 + 3.27973i 0.138054 + 0.130771i
\(630\) −4.98237 + 1.67876i −0.198503 + 0.0668833i
\(631\) −24.4986 14.7403i −0.975275 0.586803i −0.0637136 0.997968i \(-0.520294\pi\)
−0.911561 + 0.411165i \(0.865122\pi\)
\(632\) 11.2828 + 8.57694i 0.448805 + 0.341172i
\(633\) −7.71365 + 19.3598i −0.306590 + 0.769483i
\(634\) −28.3422 + 41.8017i −1.12561 + 1.66016i
\(635\) −1.05020 6.40592i −0.0416758 0.254211i
\(636\) −0.514243 9.48466i −0.0203911 0.376091i
\(637\) −19.4242 4.27559i −0.769614 0.169405i
\(638\) 0.00378526 + 0.00950028i 0.000149860 + 0.000376120i
\(639\) −0.459958 + 1.65662i −0.0181957 + 0.0655349i
\(640\) 5.39824 99.5646i 0.213384 3.93564i
\(641\) −42.1290 + 4.58180i −1.66400 + 0.180970i −0.891177 0.453656i \(-0.850119\pi\)
−0.772819 + 0.634627i \(0.781154\pi\)
\(642\) −5.10455 + 3.88038i −0.201460 + 0.153146i
\(643\) −8.05075 28.9962i −0.317491 1.14350i −0.934330 0.356409i \(-0.884001\pi\)
0.616840 0.787089i \(-0.288413\pi\)
\(644\) −61.9686 + 13.6403i −2.44191 + 0.537504i
\(645\) −8.74688 12.9007i −0.344408 0.507964i
\(646\) −9.59466 + 9.08854i −0.377497 + 0.357584i
\(647\) −10.2535 + 19.3401i −0.403107 + 0.760340i −0.999090 0.0426572i \(-0.986418\pi\)
0.595983 + 0.802997i \(0.296763\pi\)
\(648\) 10.8807 0.427434
\(649\) 0.199834 + 0.199169i 0.00784419 + 0.00781808i
\(650\) −37.3371 −1.46448
\(651\) −5.21538 + 9.83726i −0.204407 + 0.385552i
\(652\) 66.1722 62.6817i 2.59150 2.45480i
\(653\) 24.2603 + 35.7813i 0.949380 + 1.40023i 0.916174 + 0.400782i \(0.131261\pi\)
0.0332060 + 0.999449i \(0.489428\pi\)
\(654\) −14.9734 + 3.29590i −0.585507 + 0.128880i
\(655\) −4.39146 15.8166i −0.171589 0.618006i
\(656\) 97.1933 73.8844i 3.79476 2.88470i
\(657\) −1.76119 + 0.191541i −0.0687106 + 0.00747273i
\(658\) −0.734748 + 13.5516i −0.0286435 + 0.528298i
\(659\) −12.8044 + 46.1172i −0.498787 + 1.79647i 0.0993225 + 0.995055i \(0.468332\pi\)
−0.598110 + 0.801414i \(0.704081\pi\)
\(660\) −0.104153 0.261405i −0.00405416 0.0101752i
\(661\) 3.99337 + 0.879006i 0.155324 + 0.0341894i 0.291952 0.956433i \(-0.405695\pi\)
−0.136628 + 0.990622i \(0.543626\pi\)
\(662\) 0.733400 + 13.5268i 0.0285044 + 0.525733i
\(663\) 0.478163 + 2.91667i 0.0185703 + 0.113274i
\(664\) −53.1275 + 78.3571i −2.06175 + 3.04085i
\(665\) 4.45243 11.1747i 0.172658 0.433338i
\(666\) 14.5306 + 11.0459i 0.563049 + 0.428019i
\(667\) −0.638622 0.384246i −0.0247275 0.0148781i
\(668\) −12.6604 + 4.26580i −0.489847 + 0.165049i
\(669\) 7.98097 + 7.55998i 0.308562 + 0.292286i
\(670\) 0.865442 5.27896i 0.0334350 0.203944i
\(671\) 0.124238 + 0.0135117i 0.00479616 + 0.000521614i
\(672\) −38.1194 + 22.9357i −1.47049 + 0.884764i
\(673\) 16.1330 18.9933i 0.621883 0.732137i −0.357553 0.933893i \(-0.616389\pi\)
0.979436 + 0.201756i \(0.0646647\pi\)
\(674\) 68.6487 31.7603i 2.64425 1.22336i
\(675\) −2.99569 1.38596i −0.115304 0.0533455i
\(676\) 12.3430 + 14.5313i 0.474729 + 0.558895i
\(677\) −26.8722 9.05430i −1.03278 0.347985i −0.248660 0.968591i \(-0.579990\pi\)
−0.784123 + 0.620606i \(0.786887\pi\)
\(678\) −6.12432 11.5517i −0.235203 0.443640i
\(679\) 1.73483 + 3.27223i 0.0665765 + 0.125577i
\(680\) 9.85665 + 3.32109i 0.377985 + 0.127358i
\(681\) −12.2343 14.4033i −0.468818 0.551935i
\(682\) −0.724893 0.335371i −0.0277576 0.0128420i
\(683\) −20.1145 + 9.30598i −0.769661 + 0.356083i −0.765104 0.643906i \(-0.777313\pi\)
−0.00455710 + 0.999990i \(0.501451\pi\)
\(684\) −24.4305 + 28.7618i −0.934122 + 1.09973i
\(685\) −6.79738 + 4.08985i −0.259715 + 0.156265i
\(686\) 47.8543 + 5.20447i 1.82709 + 0.198708i
\(687\) −3.44877 + 21.0366i −0.131579 + 0.802596i
\(688\) −163.056 154.454i −6.21644 5.88852i
\(689\) 6.17323 2.08000i 0.235181 0.0792418i
\(690\) 23.5520 + 14.1708i 0.896611 + 0.539473i
\(691\) 19.1784 + 14.5791i 0.729582 + 0.554614i 0.902691 0.430288i \(-0.141588\pi\)
−0.173109 + 0.984903i \(0.555381\pi\)
\(692\) 8.29432 20.8172i 0.315303 0.791350i
\(693\) −0.0296229 + 0.0436906i −0.00112528 + 0.00165967i
\(694\) −9.76677 59.5746i −0.370741 2.26142i
\(695\) −0.863046 15.9180i −0.0327372 0.603802i
\(696\) −1.05415 0.232035i −0.0399574 0.00879528i
\(697\) 1.76421 + 4.42783i 0.0668241 + 0.167716i
\(698\) 0.806411 2.90443i 0.0305231 0.109934i
\(699\) 0.951344 17.5465i 0.0359831 0.663670i
\(700\) 27.7134 3.01402i 1.04747 0.113919i
\(701\) 11.0706 8.41566i 0.418131 0.317855i −0.374867 0.927078i \(-0.622312\pi\)
0.792999 + 0.609223i \(0.208519\pi\)
\(702\) 3.02619 + 10.8993i 0.114216 + 0.411369i
\(703\) −40.7841 + 8.97727i −1.53820 + 0.338584i
\(704\) −1.01653 1.49927i −0.0383119 0.0565059i
\(705\) 3.18441 3.01643i 0.119932 0.113605i
\(706\) −16.1074 + 30.3818i −0.606210 + 1.14343i
\(707\) 6.53343 0.245715
\(708\) −44.3180 + 8.58050i −1.66557 + 0.322475i
\(709\) 7.26811 0.272960 0.136480 0.990643i \(-0.456421\pi\)
0.136480 + 0.990643i \(0.456421\pi\)
\(710\) −2.94630 + 5.55731i −0.110573 + 0.208562i
\(711\) −0.945647 + 0.895764i −0.0354645 + 0.0335938i
\(712\) 67.2412 + 99.1734i 2.51997 + 3.71668i
\(713\) 56.8487 12.5133i 2.12900 0.468629i
\(714\) −0.791273 2.84991i −0.0296127 0.106655i
\(715\) 0.153630 0.116787i 0.00574544 0.00436757i
\(716\) −18.2464 + 1.98442i −0.681901 + 0.0741612i
\(717\) 0.569720 10.5079i 0.0212766 0.392423i
\(718\) −25.6870 + 92.5161i −0.958629 + 3.45267i
\(719\) 16.1434 + 40.5168i 0.602046 + 1.51102i 0.841580 + 0.540132i \(0.181626\pi\)
−0.239535 + 0.970888i \(0.576995\pi\)
\(720\) 23.9131 + 5.26367i 0.891188 + 0.196165i
\(721\) 0.812939 + 14.9938i 0.0302754 + 0.558398i
\(722\) −10.0950 61.5766i −0.375696 2.29164i
\(723\) −4.53934 + 6.69502i −0.168820 + 0.248991i
\(724\) −18.1388 + 45.5249i −0.674123 + 1.69192i
\(725\) 0.260674 + 0.198159i 0.00968118 + 0.00735944i
\(726\) 26.4499 + 15.9144i 0.981649 + 0.590639i
\(727\) 12.1651 4.09890i 0.451178 0.152020i −0.0845333 0.996421i \(-0.526940\pi\)
0.535712 + 0.844401i \(0.320043\pi\)
\(728\) −45.7535 43.3400i −1.69574 1.60629i
\(729\) −0.161782 + 0.986827i −0.00599193 + 0.0365491i
\(730\) −6.44332 0.700753i −0.238478 0.0259360i
\(731\) 7.51318 4.52053i 0.277885 0.167198i
\(732\) −12.9444 + 15.2393i −0.478438 + 0.563261i
\(733\) −32.2378 + 14.9148i −1.19073 + 0.550891i −0.912283 0.409560i \(-0.865682\pi\)
−0.278449 + 0.960451i \(0.589820\pi\)
\(734\) −21.8025 10.0869i −0.804743 0.372314i
\(735\) −4.16445 4.90277i −0.153608 0.180841i
\(736\) 220.405 + 74.2630i 8.12423 + 2.73737i
\(737\) −0.0251574 0.0474519i −0.000926685 0.00174791i
\(738\) 8.54458 + 16.1168i 0.314530 + 0.593267i
\(739\) 20.7213 + 6.98182i 0.762246 + 0.256830i 0.673463 0.739221i \(-0.264806\pi\)
0.0887823 + 0.996051i \(0.471702\pi\)
\(740\) 32.2536 + 37.9719i 1.18567 + 1.39587i
\(741\) −23.4885 10.8669i −0.862871 0.399206i
\(742\) −5.91639 + 2.73721i −0.217197 + 0.100486i
\(743\) −3.91021 + 4.60345i −0.143452 + 0.168884i −0.829196 0.558959i \(-0.811201\pi\)
0.685744 + 0.727843i \(0.259477\pi\)
\(744\) 72.2343 43.4619i 2.64824 1.59339i
\(745\) 4.44307 + 0.483213i 0.162781 + 0.0177035i
\(746\) −12.1456 + 74.0848i −0.444682 + 2.71244i
\(747\) −6.31667 5.98347i −0.231115 0.218924i
\(748\) 0.150013 0.0505452i 0.00548501 0.00184811i
\(749\) 2.81325 + 1.69268i 0.102794 + 0.0618491i
\(750\) −24.1760 18.3781i −0.882784 0.671075i
\(751\) 13.7395 34.4836i 0.501363 1.25833i −0.432804 0.901488i \(-0.642476\pi\)
0.934167 0.356837i \(-0.116145\pi\)
\(752\) 35.4699 52.3141i 1.29345 1.90770i
\(753\) 3.79411 + 23.1431i 0.138265 + 0.843380i
\(754\) −0.0607511 1.12049i −0.00221242 0.0408058i
\(755\) −17.1165 3.76763i −0.622933 0.137118i
\(756\) −3.12603 7.84574i −0.113693 0.285347i
\(757\) −6.79921 + 24.4886i −0.247122 + 0.890052i 0.731062 + 0.682311i \(0.239025\pi\)
−0.978184 + 0.207741i \(0.933389\pi\)
\(758\) −2.68966 + 49.6079i −0.0976929 + 1.80184i
\(759\) 0.274347 0.0298370i 0.00995817 0.00108302i
\(760\) −72.5053 + 55.1171i −2.63004 + 1.99931i
\(761\) −8.35696 30.0990i −0.302940 1.09109i −0.945705 0.325026i \(-0.894627\pi\)
0.642765 0.766063i \(-0.277787\pi\)
\(762\) 13.6495 3.00448i 0.494469 0.108841i
\(763\) 4.40565 + 6.49784i 0.159495 + 0.235238i
\(764\) −53.0084 + 50.2122i −1.91778 + 1.81661i
\(765\) −0.447762 + 0.844570i −0.0161889 + 0.0305355i
\(766\) −46.2553 −1.67127
\(767\) −13.8013 27.7116i −0.498336 1.00061i
\(768\) 116.051 4.18763
\(769\) 12.8782 24.2908i 0.464399 0.875950i −0.535115 0.844779i \(-0.679732\pi\)
0.999514 0.0311706i \(-0.00992352\pi\)
\(770\) −0.140203 + 0.132807i −0.00505257 + 0.00478605i
\(771\) −6.15694 9.08081i −0.221737 0.327038i
\(772\) −48.8452 + 10.7517i −1.75798 + 0.386960i