Properties

Label 192.2.s.a.131.28
Level $192$
Weight $2$
Character 192.131
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 131.28
Character \(\chi\) \(=\) 192.131
Dual form 192.2.s.a.107.28

$q$-expansion

\(f(q)\) \(=\) \(q+(1.35281 + 0.412192i) q^{2} +(1.67117 - 0.455172i) q^{3} +(1.66020 + 1.11524i) q^{4} +(-1.35023 + 2.02077i) q^{5} +(2.44840 + 0.0730812i) q^{6} +(-1.74608 - 4.21542i) q^{7} +(1.78624 + 2.19302i) q^{8} +(2.58564 - 1.52134i) q^{9} +O(q^{10})\) \(q+(1.35281 + 0.412192i) q^{2} +(1.67117 - 0.455172i) q^{3} +(1.66020 + 1.11524i) q^{4} +(-1.35023 + 2.02077i) q^{5} +(2.44840 + 0.0730812i) q^{6} +(-1.74608 - 4.21542i) q^{7} +(1.78624 + 2.19302i) q^{8} +(2.58564 - 1.52134i) q^{9} +(-2.65955 + 2.17716i) q^{10} +(-4.91888 + 0.978426i) q^{11} +(3.28210 + 1.10807i) q^{12} +(-2.86206 + 1.91237i) q^{13} +(-0.624561 - 6.42239i) q^{14} +(-1.33668 + 3.99164i) q^{15} +(1.51250 + 3.70302i) q^{16} +(1.70638 - 1.70638i) q^{17} +(4.12496 - 0.992313i) q^{18} +(2.92775 - 1.95626i) q^{19} +(-4.49528 + 1.84904i) q^{20} +(-4.83675 - 6.24993i) q^{21} +(-7.05762 - 0.703896i) q^{22} +(0.396316 - 0.956791i) q^{23} +(3.98332 + 2.85187i) q^{24} +(-0.346951 - 0.837614i) q^{25} +(-4.66008 + 1.40735i) q^{26} +(3.62857 - 3.71934i) q^{27} +(1.80234 - 8.94572i) q^{28} +(0.283033 - 1.42290i) q^{29} +(-3.45359 + 4.84897i) q^{30} +1.28385 q^{31} +(0.519775 + 5.63292i) q^{32} +(-7.77495 + 3.87406i) q^{33} +(3.01177 - 1.60506i) q^{34} +(10.8760 + 2.16337i) q^{35} +(5.98932 + 0.357864i) q^{36} +(-4.96454 + 7.42995i) q^{37} +(4.76705 - 1.43966i) q^{38} +(-3.91254 + 4.49862i) q^{39} +(-6.84343 + 0.648485i) q^{40} +(0.448865 + 0.185926i) q^{41} +(-3.96704 - 10.4486i) q^{42} +(2.10425 - 0.418561i) q^{43} +(-9.25748 - 3.86133i) q^{44} +(-0.416931 + 7.27914i) q^{45} +(0.930522 - 1.13100i) q^{46} +(-3.15360 - 3.15360i) q^{47} +(4.21316 + 5.49993i) q^{48} +(-9.77121 + 9.77121i) q^{49} +(-0.124102 - 1.27614i) q^{50} +(2.07496 - 3.62836i) q^{51} +(-6.88431 - 0.0169654i) q^{52} +(-0.610237 - 3.06787i) q^{53} +(6.44185 - 3.53590i) q^{54} +(4.66447 - 11.2610i) q^{55} +(6.12558 - 11.3590i) q^{56} +(4.00234 - 4.60188i) q^{57} +(0.969399 - 1.80826i) q^{58} +(12.0269 + 8.03610i) q^{59} +(-6.67076 + 5.13620i) q^{60} +(1.00667 - 5.06086i) q^{61} +(1.73680 + 0.529192i) q^{62} +(-10.9278 - 8.24315i) q^{63} +(-1.61869 + 7.83453i) q^{64} -8.36569i q^{65} +(-12.1149 + 2.03610i) q^{66} +(-14.2933 - 2.84310i) q^{67} +(4.73595 - 0.929913i) q^{68} +(0.226807 - 1.77936i) q^{69} +(13.8215 + 7.40963i) q^{70} +(4.14017 - 1.71492i) q^{71} +(7.95491 + 2.95287i) q^{72} +(3.01531 + 1.24898i) q^{73} +(-9.77865 + 8.00498i) q^{74} +(-0.961074 - 1.24187i) q^{75} +(7.04233 + 0.0173548i) q^{76} +(12.7133 + 19.0267i) q^{77} +(-7.14722 + 4.47307i) q^{78} +(8.12715 + 8.12715i) q^{79} +(-9.52516 - 1.94353i) q^{80} +(4.37103 - 7.86728i) q^{81} +(0.530593 + 0.436542i) q^{82} +(-1.43547 - 2.14834i) q^{83} +(-1.05982 - 15.7702i) q^{84} +(1.14419 + 5.75222i) q^{85} +(3.01918 + 0.301120i) q^{86} +(-0.174669 - 2.50675i) q^{87} +(-10.9320 - 9.03951i) q^{88} +(-3.57762 + 1.48190i) q^{89} +(-3.56443 + 9.67544i) q^{90} +(13.0588 + 8.72562i) q^{91} +(1.72501 - 1.14648i) q^{92} +(2.14553 - 0.584372i) q^{93} +(-2.96634 - 5.56612i) q^{94} +8.55771i q^{95} +(3.43259 + 9.17700i) q^{96} -6.01319i q^{97} +(-17.2462 + 9.19099i) q^{98} +(-11.2299 + 10.0132i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{3}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.35281 + 0.412192i 0.956582 + 0.291464i
\(3\) 1.67117 0.455172i 0.964852 0.262794i
\(4\) 1.66020 + 1.11524i 0.830098 + 0.557618i
\(5\) −1.35023 + 2.02077i −0.603843 + 0.903714i −0.999895 0.0145138i \(-0.995380\pi\)
0.396052 + 0.918228i \(0.370380\pi\)
\(6\) 2.44840 + 0.0730812i 0.999555 + 0.0298353i
\(7\) −1.74608 4.21542i −0.659958 1.59328i −0.797866 0.602834i \(-0.794038\pi\)
0.137909 0.990445i \(-0.455962\pi\)
\(8\) 1.78624 + 2.19302i 0.631531 + 0.775350i
\(9\) 2.58564 1.52134i 0.861879 0.507115i
\(10\) −2.65955 + 2.17716i −0.841025 + 0.688479i
\(11\) −4.91888 + 0.978426i −1.48310 + 0.295007i −0.869233 0.494404i \(-0.835387\pi\)
−0.613866 + 0.789410i \(0.710387\pi\)
\(12\) 3.28210 + 1.10807i 0.947460 + 0.319874i
\(13\) −2.86206 + 1.91237i −0.793792 + 0.530395i −0.885085 0.465429i \(-0.845900\pi\)
0.0912932 + 0.995824i \(0.470900\pi\)
\(14\) −0.624561 6.42239i −0.166921 1.71646i
\(15\) −1.33668 + 3.99164i −0.345128 + 1.03064i
\(16\) 1.51250 + 3.70302i 0.378125 + 0.925754i
\(17\) 1.70638 1.70638i 0.413859 0.413859i −0.469221 0.883081i \(-0.655465\pi\)
0.883081 + 0.469221i \(0.155465\pi\)
\(18\) 4.12496 0.992313i 0.972263 0.233890i
\(19\) 2.92775 1.95626i 0.671672 0.448797i −0.172400 0.985027i \(-0.555152\pi\)
0.844072 + 0.536230i \(0.180152\pi\)
\(20\) −4.49528 + 1.84904i −1.00518 + 0.413458i
\(21\) −4.83675 6.24993i −1.05547 1.36385i
\(22\) −7.05762 0.703896i −1.50469 0.150071i
\(23\) 0.396316 0.956791i 0.0826376 0.199505i −0.877160 0.480199i \(-0.840565\pi\)
0.959797 + 0.280694i \(0.0905646\pi\)
\(24\) 3.98332 + 2.85187i 0.813092 + 0.582136i
\(25\) −0.346951 0.837614i −0.0693902 0.167523i
\(26\) −4.66008 + 1.40735i −0.913918 + 0.276005i
\(27\) 3.62857 3.71934i 0.698319 0.715787i
\(28\) 1.80234 8.94572i 0.340611 1.69058i
\(29\) 0.283033 1.42290i 0.0525579 0.264226i −0.945568 0.325426i \(-0.894492\pi\)
0.998126 + 0.0611991i \(0.0194924\pi\)
\(30\) −3.45359 + 4.84897i −0.630536 + 0.885296i
\(31\) 1.28385 0.230586 0.115293 0.993332i \(-0.463219\pi\)
0.115293 + 0.993332i \(0.463219\pi\)
\(32\) 0.519775 + 5.63292i 0.0918841 + 0.995770i
\(33\) −7.77495 + 3.87406i −1.35344 + 0.674387i
\(34\) 3.01177 1.60506i 0.516515 0.275265i
\(35\) 10.8760 + 2.16337i 1.83838 + 0.365676i
\(36\) 5.98932 + 0.357864i 0.998220 + 0.0596440i
\(37\) −4.96454 + 7.42995i −0.816165 + 1.22148i 0.156134 + 0.987736i \(0.450097\pi\)
−0.972299 + 0.233741i \(0.924903\pi\)
\(38\) 4.76705 1.43966i 0.773317 0.233543i
\(39\) −3.91254 + 4.49862i −0.626507 + 0.720356i
\(40\) −6.84343 + 0.648485i −1.08204 + 0.102535i
\(41\) 0.448865 + 0.185926i 0.0701010 + 0.0290368i 0.417458 0.908696i \(-0.362921\pi\)
−0.347357 + 0.937733i \(0.612921\pi\)
\(42\) −3.96704 10.4486i −0.612128 1.61226i
\(43\) 2.10425 0.418561i 0.320895 0.0638300i −0.0320147 0.999487i \(-0.510192\pi\)
0.352910 + 0.935657i \(0.385192\pi\)
\(44\) −9.25748 3.86133i −1.39562 0.582117i
\(45\) −0.416931 + 7.27914i −0.0621524 + 1.08511i
\(46\) 0.930522 1.13100i 0.137198 0.166757i
\(47\) −3.15360 3.15360i −0.460001 0.460001i 0.438655 0.898656i \(-0.355455\pi\)
−0.898656 + 0.438655i \(0.855455\pi\)
\(48\) 4.21316 + 5.49993i 0.608118 + 0.793847i
\(49\) −9.77121 + 9.77121i −1.39589 + 1.39589i
\(50\) −0.124102 1.27614i −0.0175506 0.180474i
\(51\) 2.07496 3.62836i 0.290553 0.508073i
\(52\) −6.88431 0.0169654i −0.954682 0.00235268i
\(53\) −0.610237 3.06787i −0.0838225 0.421404i −0.999797 0.0201668i \(-0.993580\pi\)
0.915974 0.401237i \(-0.131420\pi\)
\(54\) 6.44185 3.53590i 0.876625 0.481174i
\(55\) 4.66447 11.2610i 0.628956 1.51843i
\(56\) 6.12558 11.3590i 0.818565 1.51790i
\(57\) 4.00234 4.60188i 0.530123 0.609534i
\(58\) 0.969399 1.80826i 0.127288 0.237436i
\(59\) 12.0269 + 8.03610i 1.56577 + 1.04621i 0.970016 + 0.243041i \(0.0781450\pi\)
0.595750 + 0.803170i \(0.296855\pi\)
\(60\) −6.67076 + 5.13620i −0.861191 + 0.663080i
\(61\) 1.00667 5.06086i 0.128890 0.647976i −0.861282 0.508127i \(-0.830338\pi\)
0.990173 0.139849i \(-0.0446619\pi\)
\(62\) 1.73680 + 0.529192i 0.220574 + 0.0672074i
\(63\) −10.9278 8.24315i −1.37678 1.03854i
\(64\) −1.61869 + 7.83453i −0.202336 + 0.979316i
\(65\) 8.36569i 1.03764i
\(66\) −12.1149 + 2.03610i −1.49124 + 0.250627i
\(67\) −14.2933 2.84310i −1.74620 0.347340i −0.784224 0.620478i \(-0.786938\pi\)
−0.961975 + 0.273138i \(0.911938\pi\)
\(68\) 4.73595 0.929913i 0.574319 0.112769i
\(69\) 0.226807 1.77936i 0.0273044 0.214209i
\(70\) 13.8215 + 7.40963i 1.65198 + 0.885620i
\(71\) 4.14017 1.71492i 0.491348 0.203523i −0.123231 0.992378i \(-0.539326\pi\)
0.614579 + 0.788855i \(0.289326\pi\)
\(72\) 7.95491 + 2.95287i 0.937495 + 0.347999i
\(73\) 3.01531 + 1.24898i 0.352915 + 0.146182i 0.552096 0.833781i \(-0.313828\pi\)
−0.199181 + 0.979963i \(0.563828\pi\)
\(74\) −9.77865 + 8.00498i −1.13674 + 0.930560i
\(75\) −0.961074 1.24187i −0.110975 0.143399i
\(76\) 7.04233 + 0.0173548i 0.807811 + 0.00199074i
\(77\) 12.7133 + 19.0267i 1.44881 + 2.16830i
\(78\) −7.14722 + 4.47307i −0.809263 + 0.506476i
\(79\) 8.12715 + 8.12715i 0.914375 + 0.914375i 0.996613 0.0822374i \(-0.0262066\pi\)
−0.0822374 + 0.996613i \(0.526207\pi\)
\(80\) −9.52516 1.94353i −1.06495 0.217293i
\(81\) 4.37103 7.86728i 0.485670 0.874142i
\(82\) 0.530593 + 0.436542i 0.0585942 + 0.0482080i
\(83\) −1.43547 2.14834i −0.157564 0.235810i 0.744286 0.667861i \(-0.232790\pi\)
−0.901849 + 0.432051i \(0.857790\pi\)
\(84\) −1.05982 15.7702i −0.115636 1.72067i
\(85\) 1.14419 + 5.75222i 0.124105 + 0.623916i
\(86\) 3.01918 + 0.301120i 0.325566 + 0.0324706i
\(87\) −0.174669 2.50675i −0.0187265 0.268751i
\(88\) −10.9320 9.03951i −1.16536 0.963615i
\(89\) −3.57762 + 1.48190i −0.379226 + 0.157081i −0.564150 0.825672i \(-0.690796\pi\)
0.184924 + 0.982753i \(0.440796\pi\)
\(90\) −3.56443 + 9.67544i −0.375724 + 1.01988i
\(91\) 13.0588 + 8.72562i 1.36894 + 0.914694i
\(92\) 1.72501 1.14648i 0.179845 0.119528i
\(93\) 2.14553 0.584372i 0.222481 0.0605966i
\(94\) −2.96634 5.56612i −0.305955 0.574102i
\(95\) 8.55771i 0.878002i
\(96\) 3.43259 + 9.17700i 0.350337 + 0.936624i
\(97\) 6.01319i 0.610547i −0.952265 0.305273i \(-0.901252\pi\)
0.952265 0.305273i \(-0.0987478\pi\)
\(98\) −17.2462 + 9.19099i −1.74213 + 0.928430i
\(99\) −11.2299 + 10.0132i −1.12865 + 1.00636i
\(100\) 0.358130 1.77753i 0.0358130 0.177753i
\(101\) 6.07018 + 4.05597i 0.604006 + 0.403584i 0.819630 0.572893i \(-0.194179\pi\)
−0.215625 + 0.976476i \(0.569179\pi\)
\(102\) 4.30262 4.05321i 0.426023 0.401327i
\(103\) 7.50199 3.10743i 0.739193 0.306184i 0.0188696 0.999822i \(-0.493993\pi\)
0.720324 + 0.693638i \(0.243993\pi\)
\(104\) −9.30618 2.86061i −0.912546 0.280506i
\(105\) 19.1604 1.33509i 1.86986 0.130291i
\(106\) 0.439015 4.40178i 0.0426409 0.427539i
\(107\) 1.06363 + 5.34721i 0.102825 + 0.516935i 0.997528 + 0.0702732i \(0.0223871\pi\)
−0.894703 + 0.446661i \(0.852613\pi\)
\(108\) 10.1721 2.12812i 0.978808 0.204779i
\(109\) 1.23989 + 1.85563i 0.118760 + 0.177737i 0.886087 0.463519i \(-0.153413\pi\)
−0.767327 + 0.641256i \(0.778413\pi\)
\(110\) 10.9518 13.3114i 1.04422 1.26919i
\(111\) −4.91469 + 14.6765i −0.466481 + 1.39303i
\(112\) 12.9688 12.8416i 1.22544 1.21342i
\(113\) −8.22640 8.22640i −0.773875 0.773875i 0.204906 0.978782i \(-0.434311\pi\)
−0.978782 + 0.204906i \(0.934311\pi\)
\(114\) 7.31127 4.57574i 0.684763 0.428558i
\(115\) 1.39833 + 2.09275i 0.130395 + 0.195150i
\(116\) 2.05676 2.04665i 0.190966 0.190027i
\(117\) −4.49087 + 9.29885i −0.415181 + 0.859679i
\(118\) 12.9577 + 15.8287i 1.19285 + 1.45715i
\(119\) −10.1726 4.21364i −0.932523 0.386264i
\(120\) −11.1414 + 4.19867i −1.01706 + 0.383284i
\(121\) 13.0754 5.41601i 1.18867 0.492364i
\(122\) 3.44787 6.43144i 0.312156 0.582275i
\(123\) 0.834760 + 0.106403i 0.0752678 + 0.00959408i
\(124\) 2.13144 + 1.43179i 0.191409 + 0.128579i
\(125\) −9.75720 1.94083i −0.872710 0.173593i
\(126\) −11.3855 15.6558i −1.01431 1.39473i
\(127\) 6.47422i 0.574494i 0.957857 + 0.287247i \(0.0927400\pi\)
−0.957857 + 0.287247i \(0.907260\pi\)
\(128\) −5.41911 + 9.93143i −0.478986 + 0.877823i
\(129\) 3.32604 1.65728i 0.292842 0.145916i
\(130\) 3.44827 11.3172i 0.302433 0.992584i
\(131\) 2.31037 11.6150i 0.201858 1.01481i −0.738405 0.674357i \(-0.764421\pi\)
0.940263 0.340450i \(-0.110579\pi\)
\(132\) −17.2284 2.23920i −1.49954 0.194897i
\(133\) −13.3586 8.92591i −1.15833 0.773974i
\(134\) −18.1642 9.73774i −1.56914 0.841213i
\(135\) 2.61650 + 12.3545i 0.225192 + 1.06330i
\(136\) 6.79015 + 0.694125i 0.582251 + 0.0595207i
\(137\) −4.13721 + 9.98812i −0.353466 + 0.853342i 0.642721 + 0.766100i \(0.277805\pi\)
−0.996187 + 0.0872422i \(0.972195\pi\)
\(138\) 1.04026 2.31364i 0.0885530 0.196950i
\(139\) −1.29848 6.52792i −0.110136 0.553691i −0.995970 0.0896886i \(-0.971413\pi\)
0.885834 0.464003i \(-0.153587\pi\)
\(140\) 15.6436 + 15.7209i 1.32213 + 1.32866i
\(141\) −6.70565 3.83478i −0.564718 0.322947i
\(142\) 6.30774 0.613412i 0.529334 0.0514764i
\(143\) 12.2070 12.2070i 1.02080 1.02080i
\(144\) 9.54434 + 7.27362i 0.795362 + 0.606135i
\(145\) 2.49319 + 2.49319i 0.207049 + 0.207049i
\(146\) 3.56432 + 2.93252i 0.294985 + 0.242697i
\(147\) −11.8818 + 20.7770i −0.979994 + 1.71366i
\(148\) −16.5282 + 6.79855i −1.35861 + 0.558838i
\(149\) 22.0265 4.38134i 1.80448 0.358933i 0.825742 0.564049i \(-0.190757\pi\)
0.978738 + 0.205115i \(0.0657570\pi\)
\(150\) −0.788261 2.07617i −0.0643612 0.169518i
\(151\) −12.9225 5.35268i −1.05162 0.435595i −0.211150 0.977454i \(-0.567721\pi\)
−0.840470 + 0.541859i \(0.817721\pi\)
\(152\) 9.51979 + 2.92627i 0.772157 + 0.237352i
\(153\) 1.81609 7.00809i 0.146822 0.566570i
\(154\) 9.35598 + 30.9799i 0.753926 + 2.49643i
\(155\) −1.73349 + 2.59436i −0.139238 + 0.208384i
\(156\) −11.5126 + 3.10520i −0.921745 + 0.248615i
\(157\) 15.5006 + 3.08326i 1.23708 + 0.246071i 0.769943 0.638112i \(-0.220284\pi\)
0.467140 + 0.884183i \(0.345284\pi\)
\(158\) 7.64455 + 14.3444i 0.608168 + 1.14118i
\(159\) −2.41622 4.84917i −0.191619 0.384565i
\(160\) −12.0846 6.55542i −0.955375 0.518251i
\(161\) −4.72528 −0.372404
\(162\) 9.15600 8.84124i 0.719364 0.694634i
\(163\) 1.35389 6.80649i 0.106045 0.533125i −0.890844 0.454309i \(-0.849886\pi\)
0.996889 0.0788159i \(-0.0251139\pi\)
\(164\) 0.537853 + 0.809264i 0.0419993 + 0.0631929i
\(165\) 2.66942 20.9422i 0.207814 1.63035i
\(166\) −1.05640 3.49798i −0.0819922 0.271496i
\(167\) −4.67103 11.2769i −0.361455 0.872631i −0.995088 0.0989963i \(-0.968437\pi\)
0.633632 0.773634i \(-0.281563\pi\)
\(168\) 5.06662 21.7710i 0.390898 1.67967i
\(169\) −0.440655 + 1.06384i −0.0338966 + 0.0818335i
\(170\) −0.823148 + 8.25330i −0.0631326 + 0.632999i
\(171\) 4.59395 9.51229i 0.351308 0.727423i
\(172\) 3.96026 + 1.65184i 0.301967 + 0.125951i
\(173\) 4.95663 3.31192i 0.376846 0.251800i −0.352694 0.935739i \(-0.614734\pi\)
0.729540 + 0.683938i \(0.239734\pi\)
\(174\) 0.796965 3.46315i 0.0604178 0.262541i
\(175\) −2.92509 + 2.92509i −0.221116 + 0.221116i
\(176\) −11.0629 16.7348i −0.833901 1.26144i
\(177\) 23.7568 + 7.95541i 1.78567 + 0.597965i
\(178\) −5.45066 + 0.530063i −0.408544 + 0.0397299i
\(179\) −20.8680 + 13.9435i −1.55975 + 1.04219i −0.587211 + 0.809434i \(0.699774\pi\)
−0.972535 + 0.232756i \(0.925226\pi\)
\(180\) −8.81013 + 11.6198i −0.656669 + 0.866090i
\(181\) −4.12689 + 0.820889i −0.306749 + 0.0610162i −0.346065 0.938211i \(-0.612482\pi\)
0.0393156 + 0.999227i \(0.487482\pi\)
\(182\) 14.0695 + 17.1869i 1.04290 + 1.27397i
\(183\) −0.621248 8.91577i −0.0459240 0.659073i
\(184\) 2.80618 0.839930i 0.206874 0.0619205i
\(185\) −8.31092 20.0643i −0.611031 1.47516i
\(186\) 3.14337 + 0.0938251i 0.230483 + 0.00687959i
\(187\) −6.72393 + 10.0631i −0.491703 + 0.735885i
\(188\) −1.71859 8.75261i −0.125341 0.638350i
\(189\) −22.0144 8.80167i −1.60131 0.640227i
\(190\) −3.52742 + 11.5770i −0.255906 + 0.839881i
\(191\) −25.7448 −1.86283 −0.931415 0.363960i \(-0.881425\pi\)
−0.931415 + 0.363960i \(0.881425\pi\)
\(192\) 0.860956 + 13.8296i 0.0621341 + 0.998068i
\(193\) −4.10419 −0.295426 −0.147713 0.989030i \(-0.547191\pi\)
−0.147713 + 0.989030i \(0.547191\pi\)
\(194\) 2.47859 8.13470i 0.177952 0.584038i
\(195\) −3.80783 13.9805i −0.272684 1.00117i
\(196\) −27.1193 + 5.32493i −1.93709 + 0.380352i
\(197\) −5.68324 + 8.50557i −0.404914 + 0.605997i −0.976753 0.214370i \(-0.931230\pi\)
0.571839 + 0.820366i \(0.306230\pi\)
\(198\) −19.3193 + 8.91704i −1.37296 + 0.633707i
\(199\) −5.95397 14.3741i −0.422066 1.01896i −0.981737 0.190242i \(-0.939073\pi\)
0.559672 0.828714i \(-0.310927\pi\)
\(200\) 1.21717 2.25705i 0.0860667 0.159598i
\(201\) −25.1806 + 1.75458i −1.77610 + 0.123758i
\(202\) 6.53997 + 7.98903i 0.460151 + 0.562106i
\(203\) −6.49233 + 1.29141i −0.455673 + 0.0906389i
\(204\) 7.49133 3.70972i 0.524498 0.259732i
\(205\) −0.981786 + 0.656009i −0.0685709 + 0.0458176i
\(206\) 11.4296 1.11150i 0.796340 0.0774421i
\(207\) −0.430879 3.07685i −0.0299482 0.213856i
\(208\) −11.4104 7.70579i −0.791168 0.534301i
\(209\) −12.4872 + 12.4872i −0.863758 + 0.863758i
\(210\) 26.4707 + 6.09163i 1.82665 + 0.420362i
\(211\) −0.767980 + 0.513148i −0.0528699 + 0.0353265i −0.581724 0.813386i \(-0.697622\pi\)
0.528854 + 0.848713i \(0.322622\pi\)
\(212\) 2.40828 5.77382i 0.165401 0.396548i
\(213\) 6.13836 4.75041i 0.420593 0.325493i
\(214\) −0.765191 + 7.67219i −0.0523074 + 0.524460i
\(215\) −1.99541 + 4.81735i −0.136086 + 0.328540i
\(216\) 14.6381 + 1.31390i 0.995996 + 0.0893995i
\(217\) −2.24171 5.41196i −0.152177 0.367388i
\(218\) 0.912465 + 3.02139i 0.0618000 + 0.204635i
\(219\) 5.60760 + 0.714778i 0.378926 + 0.0483002i
\(220\) 20.3026 13.4935i 1.36880 0.909733i
\(221\) −1.62054 + 8.14700i −0.109009 + 0.548027i
\(222\) −12.6982 + 17.8287i −0.852244 + 1.19658i
\(223\) −5.89378 −0.394677 −0.197338 0.980335i \(-0.563230\pi\)
−0.197338 + 0.980335i \(0.563230\pi\)
\(224\) 22.8376 12.0266i 1.52590 0.803563i
\(225\) −2.17139 1.63793i −0.144759 0.109196i
\(226\) −7.73792 14.5196i −0.514719 0.965831i
\(227\) −14.7431 2.93258i −0.978533 0.194642i −0.320184 0.947355i \(-0.603745\pi\)
−0.658349 + 0.752713i \(0.728745\pi\)
\(228\) 11.7769 3.17647i 0.779941 0.210367i
\(229\) 5.24160 7.84461i 0.346375 0.518386i −0.616851 0.787080i \(-0.711592\pi\)
0.963226 + 0.268694i \(0.0865919\pi\)
\(230\) 1.02906 + 3.40748i 0.0678545 + 0.224683i
\(231\) 29.9065 + 26.0102i 1.96770 + 1.71135i
\(232\) 3.62602 1.92095i 0.238060 0.126117i
\(233\) 1.97027 + 0.816112i 0.129077 + 0.0534653i 0.446287 0.894890i \(-0.352746\pi\)
−0.317210 + 0.948355i \(0.602746\pi\)
\(234\) −9.90821 + 10.7285i −0.647720 + 0.701343i
\(235\) 10.6308 2.11460i 0.693477 0.137941i
\(236\) 11.0048 + 26.7543i 0.716353 + 1.74156i
\(237\) 17.2811 + 9.88261i 1.12253 + 0.641945i
\(238\) −12.0248 9.89333i −0.779453 0.641289i
\(239\) 0.0977388 + 0.0977388i 0.00632220 + 0.00632220i 0.710261 0.703939i \(-0.248577\pi\)
−0.703939 + 0.710261i \(0.748577\pi\)
\(240\) −16.8028 + 1.08763i −1.08462 + 0.0702059i
\(241\) −11.4564 + 11.4564i −0.737972 + 0.737972i −0.972185 0.234213i \(-0.924749\pi\)
0.234213 + 0.972185i \(0.424749\pi\)
\(242\) 19.9210 1.93726i 1.28057 0.124532i
\(243\) 3.72377 15.1372i 0.238880 0.971049i
\(244\) 7.31531 7.27934i 0.468315 0.466012i
\(245\) −6.55193 32.9388i −0.418587 2.10438i
\(246\) 1.08541 + 0.488025i 0.0692035 + 0.0311153i
\(247\) −4.63831 + 11.1979i −0.295128 + 0.712503i
\(248\) 2.29326 + 2.81551i 0.145622 + 0.178785i
\(249\) −3.37678 2.93685i −0.213995 0.186115i
\(250\) −12.3997 6.64741i −0.784223 0.420419i
\(251\) −1.56703 1.04706i −0.0989100 0.0660896i 0.505132 0.863042i \(-0.331444\pi\)
−0.604042 + 0.796953i \(0.706444\pi\)
\(252\) −8.94931 25.8724i −0.563753 1.62981i
\(253\) −1.01328 + 5.09411i −0.0637044 + 0.320264i
\(254\) −2.66862 + 8.75839i −0.167444 + 0.549550i
\(255\) 4.53039 + 9.09215i 0.283704 + 0.569373i
\(256\) −11.4247 + 11.2016i −0.714043 + 0.700102i
\(257\) 12.3984i 0.773392i 0.922207 + 0.386696i \(0.126384\pi\)
−0.922207 + 0.386696i \(0.873616\pi\)
\(258\) 5.18263 0.871024i 0.322656 0.0542276i
\(259\) 39.9889 + 7.95428i 2.48479 + 0.494255i
\(260\) 9.32971 13.8887i 0.578604 0.861339i
\(261\) −1.43290 4.10970i −0.0886945 0.254384i
\(262\) 7.91310 14.7606i 0.488873 0.911912i
\(263\) 20.0474 8.30391i 1.23618 0.512041i 0.333659 0.942694i \(-0.391717\pi\)
0.902518 + 0.430653i \(0.141717\pi\)
\(264\) −22.3838 10.1306i −1.37763 0.623497i
\(265\) 7.02341 + 2.90919i 0.431445 + 0.178710i
\(266\) −14.3924 17.5814i −0.882456 1.07798i
\(267\) −5.30429 + 4.10494i −0.324618 + 0.251218i
\(268\) −20.5589 20.6604i −1.25583 1.26204i
\(269\) −6.20282 9.28318i −0.378193 0.566005i 0.592729 0.805402i \(-0.298050\pi\)
−0.970922 + 0.239396i \(0.923050\pi\)
\(270\) −1.55278 + 17.7918i −0.0944992 + 1.08277i
\(271\) 10.8048 + 10.8048i 0.656342 + 0.656342i 0.954513 0.298170i \(-0.0963764\pi\)
−0.298170 + 0.954513i \(0.596376\pi\)
\(272\) 8.89968 + 3.73786i 0.539623 + 0.226641i
\(273\) 25.7952 + 8.63801i 1.56120 + 0.522796i
\(274\) −9.71389 + 11.8067i −0.586837 + 0.713269i
\(275\) 2.52615 + 3.78066i 0.152333 + 0.227982i
\(276\) 2.36094 2.70113i 0.142112 0.162589i
\(277\) −2.84975 14.3267i −0.171225 0.860806i −0.966914 0.255101i \(-0.917891\pi\)
0.795689 0.605705i \(-0.207109\pi\)
\(278\) 0.934151 9.36627i 0.0560267 0.561752i
\(279\) 3.31956 1.95317i 0.198737 0.116933i
\(280\) 14.6828 + 27.7156i 0.877467 + 1.65632i
\(281\) 17.7892 7.36852i 1.06121 0.439569i 0.217332 0.976098i \(-0.430265\pi\)
0.843882 + 0.536529i \(0.180265\pi\)
\(282\) −7.49081 7.95175i −0.446072 0.473520i
\(283\) −18.2010 12.1615i −1.08194 0.722928i −0.119067 0.992886i \(-0.537990\pi\)
−0.962872 + 0.269958i \(0.912990\pi\)
\(284\) 8.78603 + 1.77017i 0.521355 + 0.105040i
\(285\) 3.89523 + 14.3014i 0.230734 + 0.847142i
\(286\) 21.5454 11.4822i 1.27401 0.678954i
\(287\) 2.21680i 0.130854i
\(288\) 9.91356 + 13.7739i 0.584162 + 0.811637i
\(289\) 11.1765i 0.657441i
\(290\) 2.34515 + 4.40050i 0.137712 + 0.258406i
\(291\) −2.73704 10.0491i −0.160448 0.589087i
\(292\) 3.61309 + 5.43633i 0.211440 + 0.318137i
\(293\) 8.73226 + 5.83471i 0.510144 + 0.340867i 0.783854 0.620945i \(-0.213251\pi\)
−0.273710 + 0.961812i \(0.588251\pi\)
\(294\) −24.6379 + 23.2097i −1.43691 + 1.35362i
\(295\) −32.4782 + 13.4529i −1.89095 + 0.783258i
\(296\) −25.1619 + 2.38435i −1.46251 + 0.138588i
\(297\) −14.2094 + 21.8453i −0.824514 + 1.26759i
\(298\) 31.6036 + 3.15201i 1.83075 + 0.182591i
\(299\) 0.695456 + 3.49629i 0.0402192 + 0.202196i
\(300\) −0.210588 3.13358i −0.0121583 0.180917i
\(301\) −5.43861 8.13945i −0.313476 0.469150i
\(302\) −15.2754 12.5677i −0.879000 0.723191i
\(303\) 11.9905 + 4.01524i 0.688835 + 0.230669i
\(304\) 11.6723 + 7.88267i 0.669452 + 0.452102i
\(305\) 8.86757 + 8.86757i 0.507756 + 0.507756i
\(306\) 5.34551 8.73204i 0.305582 0.499178i
\(307\) −13.1089 19.6188i −0.748163 1.11971i −0.988823 0.149096i \(-0.952364\pi\)
0.240659 0.970610i \(-0.422636\pi\)
\(308\) −0.112785 + 45.7664i −0.00642652 + 2.60778i
\(309\) 11.1227 8.60775i 0.632749 0.489678i
\(310\) −3.41446 + 2.79514i −0.193928 + 0.158753i
\(311\) 15.7530 + 6.52511i 0.893271 + 0.370005i 0.781629 0.623744i \(-0.214389\pi\)
0.111642 + 0.993749i \(0.464389\pi\)
\(312\) −16.8543 0.544652i −0.954187 0.0308348i
\(313\) 12.5925 5.21598i 0.711769 0.294824i 0.00273268 0.999996i \(-0.499130\pi\)
0.709036 + 0.705172i \(0.249130\pi\)
\(314\) 19.6985 + 10.5603i 1.11165 + 0.595952i
\(315\) 31.4126 10.9524i 1.76990 0.617100i
\(316\) 4.42898 + 22.5563i 0.249149 + 1.26889i
\(317\) 0.114424 + 0.0227603i 0.00642669 + 0.00127835i 0.198303 0.980141i \(-0.436457\pi\)
−0.191876 + 0.981419i \(0.561457\pi\)
\(318\) −1.26990 7.55596i −0.0712125 0.423717i
\(319\) 7.27602i 0.407379i
\(320\) −13.6461 13.8494i −0.762843 0.774207i
\(321\) 4.21141 + 8.45198i 0.235058 + 0.471744i
\(322\) −6.39241 1.94772i −0.356235 0.108542i
\(323\) 1.65774 8.33400i 0.0922389 0.463716i
\(324\) 16.0306 8.18651i 0.890591 0.454806i
\(325\) 2.59482 + 1.73380i 0.143935 + 0.0961740i
\(326\) 4.63714 8.64983i 0.256828 0.479070i
\(327\) 2.91671 + 2.53671i 0.161294 + 0.140281i
\(328\) 0.394042 + 1.31648i 0.0217573 + 0.0726905i
\(329\) −7.78731 + 18.8002i −0.429328 + 1.03649i
\(330\) 12.2434 27.2306i 0.673979 1.49899i
\(331\) −4.21708 21.2007i −0.231792 1.16530i −0.904858 0.425713i \(-0.860023\pi\)
0.673067 0.739582i \(-0.264977\pi\)
\(332\) 0.0127347 5.16755i 0.000698908 0.283606i
\(333\) −1.53297 + 26.7639i −0.0840063 + 1.46665i
\(334\) −1.67079 17.1808i −0.0914217 0.940094i
\(335\) 25.0445 25.0445i 1.36833 1.36833i
\(336\) 15.8280 27.3636i 0.863488 1.49281i
\(337\) −10.3569 10.3569i −0.564175 0.564175i 0.366316 0.930491i \(-0.380619\pi\)
−0.930491 + 0.366316i \(0.880619\pi\)
\(338\) −1.03463 + 1.25753i −0.0562763 + 0.0684009i
\(339\) −17.4922 10.0033i −0.950045 0.543305i
\(340\) −4.51550 + 10.8259i −0.244888 + 0.587114i
\(341\) −6.31510 + 1.25615i −0.341982 + 0.0680244i
\(342\) 10.1356 10.9747i 0.548073 0.593446i
\(343\) 28.7432 + 11.9058i 1.55199 + 0.642854i
\(344\) 4.67661 + 3.86701i 0.252146 + 0.208495i
\(345\) 3.28942 + 2.86087i 0.177096 + 0.154024i
\(346\) 8.07053 2.43731i 0.433875 0.131031i
\(347\) −2.79591 + 4.18438i −0.150092 + 0.224629i −0.898895 0.438164i \(-0.855629\pi\)
0.748803 + 0.662793i \(0.230629\pi\)
\(348\) 2.50563 4.35649i 0.134316 0.233532i
\(349\) −2.56083 0.509380i −0.137078 0.0272665i 0.126074 0.992021i \(-0.459762\pi\)
−0.263152 + 0.964754i \(0.584762\pi\)
\(350\) −5.16279 + 2.75140i −0.275963 + 0.147068i
\(351\) −3.27244 + 17.5841i −0.174670 + 0.938570i
\(352\) −8.06811 27.1991i −0.430032 1.44972i
\(353\) −22.4679 −1.19584 −0.597922 0.801554i \(-0.704007\pi\)
−0.597922 + 0.801554i \(0.704007\pi\)
\(354\) 28.8593 + 20.5545i 1.53385 + 1.09246i
\(355\) −2.12475 + 10.6819i −0.112770 + 0.566934i
\(356\) −7.59221 1.52964i −0.402386 0.0810709i
\(357\) −18.9181 2.41142i −1.00125 0.127626i
\(358\) −33.9779 + 10.2614i −1.79579 + 0.542330i
\(359\) 12.6536 + 30.5485i 0.667833 + 1.61229i 0.785229 + 0.619205i \(0.212545\pi\)
−0.117397 + 0.993085i \(0.537455\pi\)
\(360\) −16.7080 + 12.0879i −0.880591 + 0.637091i
\(361\) −2.52622 + 6.09882i −0.132959 + 0.320991i
\(362\) −5.92126 0.590561i −0.311215 0.0310392i
\(363\) 19.3860 15.0026i 1.01750 0.787435i
\(364\) 11.9491 + 29.0499i 0.626302 + 1.52263i
\(365\) −6.59526 + 4.40681i −0.345212 + 0.230663i
\(366\) 2.83458 12.3174i 0.148166 0.643842i
\(367\) 9.44890 9.44890i 0.493229 0.493229i −0.416093 0.909322i \(-0.636601\pi\)
0.909322 + 0.416093i \(0.136601\pi\)
\(368\) 4.14244 + 0.0204171i 0.215940 + 0.00106431i
\(369\) 1.44346 0.202141i 0.0751435 0.0105231i
\(370\) −2.97275 30.5690i −0.154546 1.58920i
\(371\) −11.8668 + 7.92916i −0.616095 + 0.411662i
\(372\) 4.21372 + 1.42260i 0.218471 + 0.0737584i
\(373\) 11.8008 2.34733i 0.611024 0.121540i 0.120128 0.992758i \(-0.461670\pi\)
0.490896 + 0.871218i \(0.336670\pi\)
\(374\) −13.2441 + 10.8419i −0.684838 + 0.560621i
\(375\) −17.1894 + 1.19775i −0.887655 + 0.0618516i
\(376\) 1.28283 12.5490i 0.0661567 0.647166i
\(377\) 1.91105 + 4.61369i 0.0984243 + 0.237617i
\(378\) −26.1533 20.9811i −1.34518 1.07915i
\(379\) −12.3972 + 18.5537i −0.636801 + 0.953040i 0.362973 + 0.931799i \(0.381762\pi\)
−0.999774 + 0.0212405i \(0.993238\pi\)
\(380\) −9.54386 + 14.2075i −0.489590 + 0.728828i
\(381\) 2.94688 + 10.8195i 0.150973 + 0.554301i
\(382\) −34.8279 10.6118i −1.78195 0.542947i
\(383\) 3.89254 0.198899 0.0994497 0.995043i \(-0.468292\pi\)
0.0994497 + 0.995043i \(0.468292\pi\)
\(384\) −4.53575 + 19.0638i −0.231464 + 0.972843i
\(385\) −55.6145 −2.83438
\(386\) −5.55219 1.69171i −0.282599 0.0861059i
\(387\) 4.80404 4.28353i 0.244203 0.217744i
\(388\) 6.70612 9.98307i 0.340451 0.506813i
\(389\) −10.8076 + 16.1748i −0.547969 + 0.820094i −0.997312 0.0732653i \(-0.976658\pi\)
0.449343 + 0.893359i \(0.351658\pi\)
\(390\) 0.611374 20.4825i 0.0309581 1.03717i
\(391\) −0.956386 2.30892i −0.0483665 0.116767i
\(392\) −38.8822 3.97474i −1.96385 0.200755i
\(393\) −1.42581 20.4623i −0.0719224 1.03219i
\(394\) −11.1943 + 9.16384i −0.563959 + 0.461668i
\(395\) −27.3966 + 5.44952i −1.37847 + 0.274195i
\(396\) −29.8109 + 4.09982i −1.49805 + 0.206024i
\(397\) 22.1573 14.8051i 1.11204 0.743044i 0.142949 0.989730i \(-0.454342\pi\)
0.969096 + 0.246686i \(0.0793415\pi\)
\(398\) −2.12969 21.8997i −0.106752 1.09773i
\(399\) −26.3873 8.83628i −1.32102 0.442367i
\(400\) 2.57694 2.55166i 0.128847 0.127583i
\(401\) 23.3982 23.3982i 1.16845 1.16845i 0.185880 0.982572i \(-0.440486\pi\)
0.982572 0.185880i \(-0.0595136\pi\)
\(402\) −34.7878 8.00562i −1.73506 0.399284i
\(403\) −3.67445 + 2.45519i −0.183037 + 0.122302i
\(404\) 5.55434 + 13.5034i 0.276338 + 0.671818i
\(405\) 9.99603 + 19.4555i 0.496707 + 0.966751i
\(406\) −9.31521 0.929059i −0.462306 0.0461084i
\(407\) 17.1503 41.4045i 0.850109 2.05234i
\(408\) 11.6635 1.93069i 0.577428 0.0955834i
\(409\) 1.15111 + 2.77904i 0.0569189 + 0.137414i 0.949781 0.312916i \(-0.101306\pi\)
−0.892862 + 0.450331i \(0.851306\pi\)
\(410\) −1.59857 + 0.482772i −0.0789479 + 0.0238424i
\(411\) −2.36768 + 18.5750i −0.116789 + 0.916238i
\(412\) 15.9203 + 3.20755i 0.784336 + 0.158025i
\(413\) 12.8756 64.7300i 0.633567 3.18516i
\(414\) 0.685352 4.34000i 0.0336832 0.213299i
\(415\) 6.27951 0.308249
\(416\) −12.2598 15.1278i −0.601088 0.741699i
\(417\) −5.14132 10.3183i −0.251772 0.505287i
\(418\) −22.0399 + 11.7457i −1.07801 + 0.574501i
\(419\) 21.8105 + 4.33837i 1.06551 + 0.211943i 0.696555 0.717504i \(-0.254715\pi\)
0.368956 + 0.929447i \(0.379715\pi\)
\(420\) 33.2989 + 19.1518i 1.62482 + 0.934513i
\(421\) −16.3718 + 24.5021i −0.797913 + 1.19416i 0.179694 + 0.983723i \(0.442489\pi\)
−0.977607 + 0.210439i \(0.932511\pi\)
\(422\) −1.25045 + 0.377637i −0.0608708 + 0.0183831i
\(423\) −12.9518 3.35636i −0.629738 0.163192i
\(424\) 5.63787 6.81821i 0.273799 0.331122i
\(425\) −2.02132 0.837260i −0.0980486 0.0406131i
\(426\) 10.2621 3.89623i 0.497201 0.188773i
\(427\) −23.0914 + 4.59316i −1.11747 + 0.222278i
\(428\) −4.19757 + 10.0636i −0.202897 + 0.486443i
\(429\) 14.8437 25.9563i 0.716662 1.25318i
\(430\) −4.68509 + 5.69447i −0.225935 + 0.274612i
\(431\) −0.217084 0.217084i −0.0104566 0.0104566i 0.701859 0.712316i \(-0.252354\pi\)
−0.712316 + 0.701859i \(0.752354\pi\)
\(432\) 19.2610 + 7.81116i 0.926695 + 0.375814i
\(433\) 12.6377 12.6377i 0.607329 0.607329i −0.334918 0.942247i \(-0.608709\pi\)
0.942247 + 0.334918i \(0.108709\pi\)
\(434\) −0.801841 8.24537i −0.0384896 0.395791i
\(435\) 5.30139 + 3.03172i 0.254182 + 0.145360i
\(436\) −0.0109996 + 4.46348i −0.000526787 + 0.213762i
\(437\) −0.711419 3.57654i −0.0340318 0.171089i
\(438\) 7.29140 + 3.27837i 0.348396 + 0.156646i
\(439\) 7.54155 18.2069i 0.359938 0.868968i −0.635369 0.772208i \(-0.719152\pi\)
0.995308 0.0967598i \(-0.0308479\pi\)
\(440\) 33.0275 9.88561i 1.57452 0.471278i
\(441\) −10.3994 + 40.1302i −0.495211 + 1.91096i
\(442\) −5.55041 + 10.3534i −0.264006 + 0.492460i
\(443\) −12.5196 8.36533i −0.594824 0.397449i 0.221401 0.975183i \(-0.428937\pi\)
−0.816225 + 0.577734i \(0.803937\pi\)
\(444\) −24.5270 + 18.8848i −1.16400 + 0.896231i
\(445\) 1.83605 9.23043i 0.0870370 0.437564i
\(446\) −7.97317 2.42937i −0.377541 0.115034i
\(447\) 34.8158 17.3478i 1.64673 0.820524i
\(448\) 35.8522 6.85630i 1.69386 0.323930i
\(449\) 35.8732i 1.69296i 0.532420 + 0.846480i \(0.321283\pi\)
−0.532420 + 0.846480i \(0.678717\pi\)
\(450\) −2.26233 3.11084i −0.106647 0.146646i
\(451\) −2.38983 0.475367i −0.112533 0.0223842i
\(452\) −4.48307 22.8318i −0.210866 1.07392i
\(453\) −24.0321 3.06328i −1.12913 0.143925i
\(454\) −18.7358 10.0442i −0.879316 0.471398i
\(455\) −35.2649 + 14.6072i −1.65324 + 0.684796i
\(456\) 17.2412 + 0.557153i 0.807392 + 0.0260911i
\(457\) 27.1400 + 11.2417i 1.26955 + 0.525866i 0.912829 0.408343i \(-0.133893\pi\)
0.356725 + 0.934209i \(0.383893\pi\)
\(458\) 10.3244 8.45173i 0.482426 0.394923i
\(459\) −0.154885 12.5384i −0.00722941 0.585241i
\(460\) −0.0124052 + 5.03385i −0.000578397 + 0.234704i
\(461\) −4.40053 6.58586i −0.204953 0.306734i 0.714726 0.699405i \(-0.246551\pi\)
−0.919679 + 0.392670i \(0.871551\pi\)
\(462\) 29.7366 + 47.5142i 1.38347 + 2.21056i
\(463\) −1.05229 1.05229i −0.0489040 0.0489040i 0.682232 0.731136i \(-0.261009\pi\)
−0.731136 + 0.682232i \(0.761009\pi\)
\(464\) 5.69712 1.10407i 0.264482 0.0512550i
\(465\) −1.71609 + 5.12466i −0.0795817 + 0.237650i
\(466\) 2.32901 + 1.91617i 0.107889 + 0.0887651i
\(467\) 18.0199 + 26.9687i 0.833861 + 1.24796i 0.966467 + 0.256792i \(0.0826655\pi\)
−0.132606 + 0.991169i \(0.542334\pi\)
\(468\) −17.8261 + 10.4295i −0.824013 + 0.482106i
\(469\) 12.9723 + 65.2164i 0.599007 + 3.01141i
\(470\) 15.2531 + 1.52128i 0.703572 + 0.0701713i
\(471\) 27.3076 1.90279i 1.25827 0.0876758i
\(472\) 3.85955 + 40.7296i 0.177650 + 1.87473i
\(473\) −9.94102 + 4.11770i −0.457088 + 0.189332i
\(474\) 19.3046 + 20.4924i 0.886688 + 0.941249i
\(475\) −2.65438 1.77360i −0.121791 0.0813783i
\(476\) −12.1893 18.3403i −0.558698 0.840628i
\(477\) −6.24513 7.00401i −0.285945 0.320692i
\(478\) 0.0919350 + 0.172509i 0.00420501 + 0.00789039i
\(479\) 11.1857i 0.511086i 0.966798 + 0.255543i \(0.0822543\pi\)
−0.966798 + 0.255543i \(0.917746\pi\)
\(480\) −23.1794 5.45464i −1.05799 0.248969i
\(481\) 30.7590i 1.40249i
\(482\) −20.2206 + 10.7761i −0.921023 + 0.490839i
\(483\) −7.89675 + 2.15082i −0.359315 + 0.0978655i
\(484\) 27.7479 + 5.59051i 1.26127 + 0.254114i
\(485\) 12.1512 + 8.11920i 0.551760 + 0.368674i
\(486\) 11.2770 18.9428i 0.511534 0.859263i
\(487\) 1.59539 0.660834i 0.0722942 0.0299453i −0.346243 0.938145i \(-0.612543\pi\)
0.418538 + 0.908199i \(0.362543\pi\)
\(488\) 12.8967 6.83227i 0.583807 0.309282i
\(489\) −0.835534 11.9911i −0.0377842 0.542255i
\(490\) 4.71356 47.2606i 0.212937 2.13501i
\(491\) 4.08017 + 20.5124i 0.184135 + 0.925711i 0.956767 + 0.290856i \(0.0939401\pi\)
−0.772631 + 0.634855i \(0.781060\pi\)
\(492\) 1.26720 + 1.10760i 0.0571298 + 0.0499347i
\(493\) −1.94506 2.91098i −0.0876010 0.131104i
\(494\) −10.8904 + 13.2367i −0.489983 + 0.595548i
\(495\) −5.07126 36.2131i −0.227936 1.62766i
\(496\) 1.94182 + 4.75411i 0.0871904 + 0.213466i
\(497\) −14.4582 14.4582i −0.648538 0.648538i
\(498\) −3.35761 5.36489i −0.150458 0.240406i
\(499\) 4.03715 + 6.04202i 0.180727 + 0.270478i 0.910761 0.412933i \(-0.135496\pi\)
−0.730034 + 0.683411i \(0.760496\pi\)
\(500\) −14.0344 14.1037i −0.627637 0.630738i
\(501\) −12.9390 16.7195i −0.578073 0.746971i
\(502\) −1.68831 2.06239i −0.0753528 0.0920488i
\(503\) 0.875009 + 0.362440i 0.0390147 + 0.0161604i 0.402105 0.915593i \(-0.368279\pi\)
−0.363091 + 0.931754i \(0.618279\pi\)
\(504\) −1.44235 38.6892i −0.0642475 1.72336i
\(505\) −16.3923 + 6.78992i −0.729449 + 0.302148i
\(506\) −3.47053 + 6.47370i −0.154284 + 0.287791i
\(507\) −0.252182 + 1.97843i −0.0111998 + 0.0878651i
\(508\) −7.22027 + 10.7485i −0.320348 + 0.476886i
\(509\) 34.6684 + 6.89597i 1.53665 + 0.305659i 0.889582 0.456775i \(-0.150995\pi\)
0.647067 + 0.762433i \(0.275995\pi\)
\(510\) 2.38105 + 14.1674i 0.105435 + 0.627341i
\(511\) 14.8916i 0.658766i
\(512\) −20.0727 + 10.4445i −0.887095 + 0.461588i
\(513\) 3.34756 17.9877i 0.147798 0.794177i
\(514\) −5.11053 + 16.7727i −0.225416 + 0.739813i
\(515\) −3.85005 + 19.3555i −0.169654 + 0.852906i
\(516\) 7.37015 + 0.957906i 0.324453 + 0.0421695i
\(517\) 18.5978 + 12.4266i 0.817929 + 0.546523i
\(518\) 50.8187 + 27.2437i 2.23285 + 1.19702i
\(519\) 6.77590 7.79091i 0.297429 0.341983i
\(520\) 18.3461 14.9431i 0.804531 0.655300i
\(521\) −12.1773 + 29.3986i −0.533497 + 1.28798i 0.395696 + 0.918381i \(0.370503\pi\)
−0.929193 + 0.369594i \(0.879497\pi\)
\(522\) −0.244464 6.15028i −0.0106999 0.269190i
\(523\) 7.29918 + 36.6954i 0.319171 + 1.60458i 0.723740 + 0.690072i \(0.242421\pi\)
−0.404570 + 0.914507i \(0.632579\pi\)
\(524\) 16.7891 16.7066i 0.733436 0.729830i
\(525\) −3.55691 + 6.21975i −0.155236 + 0.271452i
\(526\) 30.5432 2.97024i 1.33175 0.129509i
\(527\) 2.19074 2.19074i 0.0954301 0.0954301i
\(528\) −26.1053 22.9313i −1.13609 0.997955i
\(529\) 15.5051 + 15.5051i 0.674134 + 0.674134i
\(530\) 8.30220 + 6.83058i 0.360625 + 0.296701i
\(531\) 43.3228 + 2.48142i 1.88005 + 0.107685i
\(532\) −12.2233 29.7167i −0.529949 1.28838i
\(533\) −1.64024 + 0.326263i −0.0710466 + 0.0141320i
\(534\) −8.86773 + 3.36682i −0.383744 + 0.145696i
\(535\) −12.2416 5.07064i −0.529251 0.219223i
\(536\) −19.2962 36.4239i −0.833469 1.57327i
\(537\) −28.5273 + 32.8006i −1.23104 + 1.41545i
\(538\) −4.56480 15.1151i −0.196802 0.651660i
\(539\) 38.5030 57.6238i 1.65844 2.48203i
\(540\) −9.43424 + 23.4288i −0.405985 + 1.00822i
\(541\) −29.7689 5.92141i −1.27987 0.254581i −0.492091 0.870544i \(-0.663767\pi\)
−0.787775 + 0.615963i \(0.788767\pi\)
\(542\) 10.1632 + 19.0704i 0.436545 + 0.819145i
\(543\) −6.52310 + 3.25029i −0.279933 + 0.139483i
\(544\) 10.4989 + 8.72500i 0.450135 + 0.374081i
\(545\) −5.42394 −0.232336
\(546\) 31.3355 + 22.3182i 1.34104 + 0.955129i
\(547\) 8.01766 40.3075i 0.342811 1.72342i −0.296987 0.954881i \(-0.595982\pi\)
0.639798 0.768543i \(-0.279018\pi\)
\(548\) −18.0077 + 11.9683i −0.769250 + 0.511259i
\(549\) −5.09643 14.6170i −0.217510 0.623839i
\(550\) 1.85905 + 6.15577i 0.0792703 + 0.262483i
\(551\) −1.95492 4.71959i −0.0832824 0.201061i
\(552\) 4.30730 2.68096i 0.183331 0.114109i
\(553\) 20.0687 48.4500i 0.853406 2.06030i
\(554\) 2.05016 20.5559i 0.0871029 0.873337i
\(555\) −23.0217 29.7481i −0.977218 1.26274i
\(556\) 5.12443 12.2857i 0.217324 0.521032i
\(557\) −27.4263 + 18.3257i −1.16209 + 0.776484i −0.978445 0.206508i \(-0.933790\pi\)
−0.183646 + 0.982992i \(0.558790\pi\)
\(558\) 5.29583 1.27398i 0.224190 0.0539318i
\(559\) −5.22204 + 5.22204i −0.220869 + 0.220869i
\(560\) 8.43896 + 43.5461i 0.356611 + 1.84016i
\(561\) −6.65642 + 19.8777i −0.281034 + 0.839237i
\(562\) 27.1027 2.63566i 1.14326 0.111179i
\(563\) −11.9798 + 8.00464i −0.504888 + 0.337356i −0.781789 0.623543i \(-0.785693\pi\)
0.276901 + 0.960899i \(0.410693\pi\)
\(564\) −6.85601 13.8449i −0.288690 0.582974i
\(565\) 27.7312 5.51608i 1.16666 0.232063i
\(566\) −19.6097 23.9546i −0.824256 1.00689i
\(567\) −40.7961 4.68878i −1.71327 0.196910i
\(568\) 11.1562 + 6.01623i 0.468103 + 0.252436i
\(569\) −15.2958 36.9273i −0.641233 1.54807i −0.825018 0.565107i \(-0.808835\pi\)
0.183785 0.982966i \(-0.441165\pi\)
\(570\) −0.625407 + 20.9527i −0.0261954 + 0.877612i
\(571\) −8.40507 + 12.5791i −0.351741 + 0.526418i −0.964580 0.263790i \(-0.915027\pi\)
0.612839 + 0.790208i \(0.290027\pi\)
\(572\) 33.8797 6.65234i 1.41658 0.278148i
\(573\) −43.0240 + 11.7183i −1.79735 + 0.489540i
\(574\) 0.913746 2.99891i 0.0381390 0.125172i
\(575\) −0.938924 −0.0391558
\(576\) 7.73367 + 22.7198i 0.322236 + 0.946659i
\(577\) 44.0088 1.83211 0.916055 0.401053i \(-0.131356\pi\)
0.916055 + 0.401053i \(0.131356\pi\)
\(578\) −4.60686 + 15.1197i −0.191620 + 0.628896i
\(579\) −6.85880 + 1.86811i −0.285042 + 0.0776361i
\(580\) 1.35869 + 6.91969i 0.0564167 + 0.287324i
\(581\) −6.54968 + 9.80229i −0.271727 + 0.406668i
\(582\) 0.439451 14.7227i 0.0182158 0.610275i
\(583\) 6.00337 + 14.4934i 0.248634 + 0.600256i
\(584\) 2.64702 + 8.84361i 0.109535 + 0.365951i
\(585\) −12.7271 21.6306i −0.526200 0.894316i
\(586\) 9.40807 + 11.4926i 0.388644 + 0.474756i
\(587\) 19.1815 3.81543i 0.791704 0.157480i 0.217358 0.976092i \(-0.430256\pi\)
0.574347 + 0.818612i \(0.305256\pi\)
\(588\) −42.8973 + 21.2428i −1.76906 + 0.876040i
\(589\) 3.75879 2.51154i 0.154878 0.103486i
\(590\) −49.4820 + 4.81200i −2.03714 + 0.198107i
\(591\) −5.62617 + 16.8011i −0.231430 + 0.691106i
\(592\) −35.0221 7.14595i −1.43940 0.293697i
\(593\) 12.2686 12.2686i 0.503811 0.503811i −0.408809 0.912620i \(-0.634056\pi\)
0.912620 + 0.408809i \(0.134056\pi\)
\(594\) −28.2271 + 23.6955i −1.15817 + 0.972239i
\(595\) 22.2502 14.8671i 0.912169 0.609492i
\(596\) 41.4545 + 17.2908i 1.69804 + 0.708260i
\(597\) −16.4928 21.3116i −0.675006 0.872226i
\(598\) −0.500322 + 5.01648i −0.0204597 + 0.205139i
\(599\) −3.20238 + 7.73122i −0.130846 + 0.315889i −0.975701 0.219105i \(-0.929686\pi\)
0.844856 + 0.534994i \(0.179686\pi\)
\(600\) 1.00675 4.32594i 0.0411004 0.176606i
\(601\) 15.3797 + 37.1299i 0.627351 + 1.51456i 0.842902 + 0.538067i \(0.180845\pi\)
−0.215551 + 0.976493i \(0.569155\pi\)
\(602\) −4.00239 13.2529i −0.163125 0.540147i
\(603\) −41.2825 + 14.3937i −1.68115 + 0.586157i
\(604\) −15.4844 23.2981i −0.630052 0.947988i
\(605\) −6.71035 + 33.7352i −0.272815 + 1.37153i
\(606\) 14.5658 + 10.3742i 0.591696 + 0.421425i
\(607\) 6.63792 0.269425 0.134712 0.990885i \(-0.456989\pi\)
0.134712 + 0.990885i \(0.456989\pi\)
\(608\) 12.5412 + 15.4750i 0.508614 + 0.627593i
\(609\) −10.2620 + 5.11329i −0.415837 + 0.207201i
\(610\) 8.34101 + 15.6513i 0.337718 + 0.633702i
\(611\) 15.0566 + 2.99495i 0.609126 + 0.121163i
\(612\) 10.8307 9.60943i 0.437807 0.388438i
\(613\) 7.44936 11.1488i 0.300877 0.450294i −0.649968 0.759962i \(-0.725218\pi\)
0.950845 + 0.309667i \(0.100218\pi\)
\(614\) −9.64712 31.9439i −0.389326 1.28915i
\(615\) −1.34214 + 1.54319i −0.0541202 + 0.0622273i
\(616\) −19.0171 + 61.8668i −0.766221 + 2.49268i
\(617\) 5.73834 + 2.37690i 0.231017 + 0.0956903i 0.495189 0.868785i \(-0.335099\pi\)
−0.264172 + 0.964476i \(0.585099\pi\)
\(618\) 18.5950 7.05997i 0.747999 0.283994i
\(619\) −28.4168 + 5.65245i −1.14217 + 0.227191i −0.729691 0.683777i \(-0.760336\pi\)
−0.412477 + 0.910968i \(0.635336\pi\)
\(620\) −5.77126 + 2.37389i −0.231779 + 0.0953376i
\(621\) −2.12057 4.94582i −0.0850955 0.198469i
\(622\) 18.6212 + 15.3205i 0.746644 + 0.614296i
\(623\) 12.4936 + 12.4936i 0.500547 + 0.500547i
\(624\) −22.5762 7.68402i −0.903771 0.307607i
\(625\) 20.3019 20.3019i 0.812074 0.812074i
\(626\) 19.1852 1.86571i 0.766796 0.0745689i
\(627\) −15.1844 + 26.5521i −0.606408 + 1.06039i
\(628\) 22.2955 + 22.4056i 0.889687 + 0.894083i
\(629\) 4.20695 + 21.1498i 0.167742 + 0.843297i
\(630\) 47.0098 1.86857i 1.87292 0.0744456i
\(631\) 4.28556 10.3462i 0.170605 0.411878i −0.815332 0.578994i \(-0.803446\pi\)
0.985937 + 0.167116i \(0.0534455\pi\)
\(632\) −3.30597 + 32.3400i −0.131504 + 1.28642i
\(633\) −1.04986 + 1.20712i −0.0417280 + 0.0479788i
\(634\) 0.145412 + 0.0779551i 0.00577506 + 0.00309599i
\(635\) −13.0829 8.74170i −0.519178 0.346904i
\(636\) 1.39657 10.7452i 0.0553776 0.426076i
\(637\) 9.27964 46.6519i 0.367673 1.84842i
\(638\) −2.99912 + 9.84308i −0.118736 + 0.389691i
\(639\) 8.09600 10.7328i 0.320273 0.424582i
\(640\) −12.7520 24.3605i −0.504069 0.962933i
\(641\) 32.9687i 1.30219i −0.758998 0.651093i \(-0.774311\pi\)
0.758998 0.651093i \(-0.225689\pi\)
\(642\) 2.21340 + 13.1698i 0.0873560 + 0.519772i
\(643\) 3.22911 + 0.642310i 0.127344 + 0.0253302i 0.258351 0.966051i \(-0.416821\pi\)
−0.131007 + 0.991381i \(0.541821\pi\)
\(644\) −7.84489 5.26980i −0.309132 0.207659i
\(645\) −1.14195 + 8.95888i −0.0449643 + 0.352755i
\(646\) 5.67781 10.5910i 0.223391 0.416698i
\(647\) −12.4698 + 5.16516i −0.490238 + 0.203063i −0.614088 0.789238i \(-0.710476\pi\)
0.123850 + 0.992301i \(0.460476\pi\)
\(648\) 25.0608 4.46710i 0.984482 0.175484i
\(649\) −67.0215 27.7612i −2.63082 1.08972i
\(650\) 2.79564 + 3.41507i 0.109654 + 0.133950i
\(651\) −6.20965 8.02396i −0.243376 0.314484i
\(652\) 9.83856 9.79019i 0.385308 0.383414i
\(653\) −2.52285 3.77572i −0.0987269 0.147755i 0.778818 0.627250i \(-0.215820\pi\)
−0.877544 + 0.479495i \(0.840820\pi\)
\(654\) 2.90014 + 4.63394i 0.113405 + 0.181201i
\(655\) 20.3517 + 20.3517i 0.795205 + 0.795205i
\(656\) −0.00957839 + 1.94337i −0.000373973 + 0.0758759i
\(657\) 9.69661 1.35791i 0.378301 0.0529770i
\(658\) −18.2841 + 22.2233i −0.712787 + 0.866354i
\(659\) −13.2928 19.8941i −0.517814 0.774963i 0.476756 0.879036i \(-0.341812\pi\)
−0.994570 + 0.104073i \(0.966812\pi\)
\(660\) 27.7873 31.7912i 1.08162 1.23747i
\(661\) −5.43822 27.3398i −0.211522 1.06339i −0.929920 0.367761i \(-0.880124\pi\)
0.718398 0.695632i \(-0.244876\pi\)
\(662\) 3.03384 30.4188i 0.117913 1.18226i
\(663\) 1.00009 + 14.3527i 0.0388403 + 0.557412i
\(664\) 2.14725 6.98547i 0.0833294 0.271089i
\(665\) 36.0743 14.9425i 1.39890 0.579445i
\(666\) −13.1057 + 35.5747i −0.507835 + 1.37849i
\(667\) −1.24925 0.834723i −0.0483712 0.0323206i
\(668\) 4.82153 23.9311i 0.186551 0.925923i
\(669\) −9.84952 + 2.68269i −0.380805 + 0.103719i
\(670\) 44.2036 23.5573i 1.70773 0.910098i
\(671\) 25.8787i 0.999036i
\(672\) 32.6913 30.4936i 1.26110 1.17632i
\(673\) 12.4571i 0.480186i −0.970750 0.240093i \(-0.922822\pi\)
0.970750 0.240093i \(-0.0771779\pi\)
\(674\) −9.74187 18.2799i −0.375243 0.704115i
\(675\) −4.37431 1.74891i −0.168367 0.0673157i
\(676\) −1.91800 + 1.27474i −0.0737693 + 0.0490285i
\(677\) 10.2398 + 6.84204i 0.393549 + 0.262961i 0.736563 0.676369i \(-0.236448\pi\)
−0.343014 + 0.939330i \(0.611448\pi\)
\(678\) −19.5403 20.7427i −0.750442 0.796619i
\(679\) −25.3481 + 10.4995i −0.972771 + 0.402935i
\(680\) −10.5710 + 12.7841i −0.405378 + 0.490247i
\(681\) −25.9731 + 1.80980i −0.995291 + 0.0693516i
\(682\) −9.06091 0.903696i −0.346960 0.0346043i
\(683\) −4.53151 22.7815i −0.173393 0.871708i −0.965316 0.261086i \(-0.915919\pi\)
0.791922 0.610622i \(-0.209081\pi\)
\(684\) 18.2353 10.6689i 0.697244 0.407937i
\(685\) −14.5974 21.8466i −0.557740 0.834717i
\(686\) 33.9766 + 27.9540i 1.29723 + 1.06729i
\(687\) 5.18897 15.4955i 0.197971 0.591191i
\(688\) 4.73262 + 7.15899i 0.180429 + 0.272934i
\(689\) 7.61342 + 7.61342i 0.290048 + 0.290048i
\(690\) 3.27074 + 5.22609i 0.124515 + 0.198954i
\(691\) 14.2371 + 21.3073i 0.541605 + 0.810569i 0.996809 0.0798181i \(-0.0254339\pi\)
−0.455205 + 0.890387i \(0.650434\pi\)
\(692\) 11.9226 + 0.0293815i 0.453227 + 0.00111692i
\(693\) 61.8181 + 29.8550i 2.34827 + 1.13410i
\(694\) −5.50711 + 4.50822i −0.209047 + 0.171130i
\(695\) 14.9447 + 6.19028i 0.566883 + 0.234811i
\(696\) 5.18535 4.86071i 0.196550 0.184245i
\(697\) 1.08320 0.448676i 0.0410291 0.0169948i
\(698\) −3.25435 1.74465i −0.123179 0.0660358i
\(699\) 3.66413 + 0.467052i 0.138590 + 0.0176655i
\(700\) −8.11838 + 1.59406i −0.306846 + 0.0602498i
\(701\) 25.4279 + 5.05792i 0.960399 + 0.191035i 0.650307 0.759672i \(-0.274640\pi\)
0.310092 + 0.950707i \(0.399640\pi\)
\(702\) −11.6750 + 22.4391i −0.440645 + 0.846910i
\(703\) 31.4650i 1.18672i
\(704\) 0.296622 40.1209i 0.0111794 1.51211i
\(705\) 16.8034 8.37271i 0.632852 0.315334i
\(706\) −30.3948 9.26108i −1.14392 0.348545i
\(707\) 6.49855 32.6704i 0.244403 1.22870i
\(708\) 30.5688 + 39.7020i 1.14885 + 1.49209i
\(709\) 11.0041 + 7.35267i 0.413266 + 0.276136i 0.744774 0.667317i \(-0.232557\pi\)
−0.331508 + 0.943452i \(0.607557\pi\)
\(710\) −7.27736 + 13.5747i −0.273115 + 0.509450i
\(711\) 33.3780 + 8.64966i 1.25177 + 0.324388i
\(712\) −9.64031 5.19876i −0.361286 0.194832i
\(713\) 0.508809 1.22837i 0.0190551 0.0460030i
\(714\) −24.5987 11.0601i −0.920583 0.413914i
\(715\) 8.18521 + 41.1498i 0.306109 + 1.53892i
\(716\) −50.1953 0.123699i −1.87589 0.00462286i
\(717\) 0.207826 + 0.118850i 0.00776142 + 0.00443855i
\(718\) 4.52610 + 46.5421i 0.168913 + 1.73694i
\(719\) −28.6352 + 28.6352i −1.06791 + 1.06791i −0.0703926 + 0.997519i \(0.522425\pi\)
−0.997519 + 0.0703926i \(0.977575\pi\)
\(720\) −27.5854 + 9.46580i −1.02805 + 0.352769i
\(721\) −26.1982 26.1982i −0.975673 0.975673i
\(722\) −5.93138 + 7.20927i −0.220743 + 0.268301i
\(723\) −13.9310 + 24.3603i −0.518099 + 0.905969i
\(724\) −7.76693 3.23961i −0.288656 0.120399i
\(725\) −1.29004 + 0.256605i −0.0479110 + 0.00953008i
\(726\) 32.4096 12.3050i 1.20283 0.456681i
\(727\) −35.2595 14.6050i −1.30770 0.541668i −0.383489 0.923545i \(-0.625278\pi\)
−0.924213 + 0.381878i \(0.875278\pi\)
\(728\) 4.19071 + 44.2243i 0.155318 + 1.63906i
\(729\) −0.666954 26.9918i −0.0247020 0.999695i
\(730\) −10.7386 + 3.24307i −0.397453 + 0.120032i
\(731\) 2.87643 4.30488i 0.106389 0.159222i
\(732\) 8.91179 15.4948i 0.329389 0.572703i
\(733\) −13.1972 2.62508i −0.487448 0.0969595i −0.0547534 0.998500i \(-0.517437\pi\)
−0.432695 + 0.901540i \(0.642437\pi\)
\(734\) 16.6773 8.88782i 0.615572 0.328055i
\(735\) −25.9422 52.0641i −0.956893 1.92041i
\(736\) 5.59553 + 1.73510i 0.206254 + 0.0639567i
\(737\) 73.0886 2.69225
\(738\) 2.03605 + 0.321523i 0.0749480 + 0.0118354i
\(739\) −0.290443 + 1.46015i −0.0106841 + 0.0537126i −0.985760 0.168161i \(-0.946217\pi\)
0.975075 + 0.221873i \(0.0712172\pi\)
\(740\) 8.57870 42.5794i 0.315359 1.56525i
\(741\) −2.65445 + 20.8248i −0.0975137 + 0.765018i
\(742\) −19.3219 + 5.83525i −0.709330 + 0.214219i
\(743\) −20.2028 48.7739i −0.741170 1.78934i −0.601056 0.799207i \(-0.705253\pi\)
−0.140113 0.990135i \(-0.544747\pi\)
\(744\) 5.11398 + 3.66137i 0.187488 + 0.134232i
\(745\) −20.8872 + 50.4262i −0.765248 + 1.84747i
\(746\) 16.9318 + 1.68871i 0.619919 + 0.0618280i
\(747\) −6.97996 3.37097i −0.255384 0.123337i
\(748\) −22.3857 + 9.20791i −0.818504 + 0.336675i
\(749\) 20.6836 13.8203i 0.755761 0.504983i
\(750\) −23.7477 5.46499i −0.867143 0.199553i
\(751\) −17.0382 + 17.0382i −0.621734 + 0.621734i −0.945975 0.324240i \(-0.894891\pi\)
0.324240 + 0.945975i \(0.394891\pi\)
\(752\) 6.90802 16.4477i 0.251910 0.599785i
\(753\) −3.09537 1.03654i −0.112801 0.0377737i
\(754\) 0.683569 + 7.02918i 0.0248941 + 0.255987i
\(755\) 28.2649 18.8860i 1.02867 0.687333i
\(756\) −26.7322 39.1637i −0.972242 1.42437i
\(757\) −38.5608 + 7.67022i −1.40152 + 0.278779i −0.837253 0.546816i \(-0.815840\pi\)
−0.564264 + 0.825595i \(0.690840\pi\)
\(758\) −24.4187 + 19.9896i −0.886929 + 0.726057i
\(759\) 0.625330 + 8.97435i 0.0226980 + 0.325748i
\(760\) −18.7672 + 15.2861i −0.680759 + 0.554486i
\(761\) −8.69399 20.9891i −0.315157 0.760856i −0.999498 0.0316936i \(-0.989910\pi\)
0.684341 0.729162i \(-0.260090\pi\)
\(762\) −0.473143 + 15.8515i −0.0171402 + 0.574238i
\(763\) 5.65731 8.46676i 0.204808 0.306517i
\(764\) −42.7414 28.7115i −1.54633 1.03875i
\(765\) 11.7096 + 13.1325i 0.423360 + 0.474805i
\(766\) 5.26587 + 1.60447i 0.190264 + 0.0579719i
\(767\) −49.7896 −1.79780
\(768\) −13.9939 + 23.9201i −0.504963 + 0.863141i
\(769\) 45.9611 1.65740 0.828701 0.559692i \(-0.189081\pi\)
0.828701 + 0.559692i \(0.189081\pi\)
\(770\) −75.2359 22.9238i −2.71131 0.826117i
\(771\) 5.64342 + 20.7199i 0.203243 + 0.746209i
\(772\) −6.81375 4.57713i −0.245232 0.164735i
\(773\) 4.35623 6.51956i 0.156683 0.234492i −0.744820 0.667265i \(-0.767465\pi\)