Properties

Label 192.2.s.a.107.28
Level $192$
Weight $2$
Character 192.107
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 107.28
Character \(\chi\) \(=\) 192.107
Dual form 192.2.s.a.131.28

$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{16}\right)\)

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 0.396052 0.918228i \(-0.370380\pi\)
−0.999895 + 0.0145138i \(0.995380\pi\)
\(6\) 2.44840 0.0730812i 0.999555 0.0298353i
\(7\) −1.74608 + 4.21542i −0.659958 + 1.59328i 0.137909 + 0.990445i \(0.455962\pi\)
−0.797866 + 0.602834i \(0.794038\pi\)
\(8\) 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 −0.613866 0.789410i \(-0.710387\pi\)
−0.869233 + 0.494404i \(0.835387\pi\)
\(12\) 3.28210 1.10807i 0.947460 0.319874i
\(13\) −2.86206 1.91237i −0.793792 0.530395i 0.0912932 0.995824i \(-0.470900\pi\)
−0.885085 + 0.465429i \(0.845900\pi\)
\(14\) −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 0.883081 0.469221i \(-0.155465\pi\)
−0.469221 + 0.883081i \(0.655465\pi\)
\(18\) 4.12496 + 0.992313i 0.972263 + 0.233890i
\(19\) 2.92775 + 1.95626i 0.671672 + 0.448797i 0.844072 0.536230i \(-0.180152\pi\)
−0.172400 + 0.985027i \(0.555152\pi\)
\(20\) −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 0.959797 0.280694i \(-0.0905646\pi\)
−0.877160 + 0.480199i \(0.840565\pi\)
\(24\) 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 0.998126 0.0611991i \(-0.0194924\pi\)
−0.945568 + 0.325426i \(0.894492\pi\)
\(30\) −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 −0.972299 0.233741i \(-0.924903\pi\)
0.156134 0.987736i \(-0.450097\pi\)
\(38\) 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 −0.347357 0.937733i \(-0.612921\pi\)
0.417458 + 0.908696i \(0.362921\pi\)
\(42\) −3.96704 + 10.4486i −0.612128 + 1.61226i
\(43\) 2.10425 + 0.418561i 0.320895 + 0.0638300i 0.352910 0.935657i \(-0.385192\pi\)
−0.0320147 + 0.999487i \(0.510192\pi\)
\(44\) −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 −0.898656 0.438655i \(-0.855455\pi\)
0.438655 + 0.898656i \(0.355455\pi\)
\(48\) 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 0.915974 + 0.401237i \(0.131420\pi\)
−0.999797 + 0.0201668i \(0.993580\pi\)
\(54\) 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 0.595750 0.803170i \(-0.296855\pi\)
0.970016 0.243041i \(-0.0781450\pi\)
\(60\) −6.67076 5.13620i −0.861191 0.663080i
\(61\) 1.00667 + 5.06086i 0.128890 + 0.647976i 0.990173 + 0.139849i \(0.0446619\pi\)
−0.861282 + 0.508127i \(0.830338\pi\)
\(62\) 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 −0.961975 0.273138i \(-0.911938\pi\)
−0.784224 + 0.620478i \(0.786938\pi\)
\(68\) 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 0.614579 0.788855i \(-0.289326\pi\)
−0.123231 + 0.992378i \(0.539326\pi\)
\(72\) 7.95491 2.95287i 0.937495 0.347999i
\(73\) 3.01531 1.24898i 0.352915 0.146182i −0.199181 0.979963i \(-0.563828\pi\)
0.552096 + 0.833781i \(0.313828\pi\)
\(74\) −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 −0.0822374 0.996613i \(-0.526207\pi\)
0.996613 + 0.0822374i \(0.0262066\pi\)
\(80\) −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 −0.901849 0.432051i \(-0.857790\pi\)
0.744286 + 0.667861i \(0.232790\pi\)
\(84\) −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 0.184924 0.982753i \(-0.440796\pi\)
−0.564150 + 0.825672i \(0.690796\pi\)
\(90\) −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 \(0.0987478\pi\)
−0.952265 + 0.305273i \(0.901252\pi\)
\(98\) −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 −0.215625 0.976476i \(-0.569179\pi\)
0.819630 + 0.572893i \(0.194179\pi\)
\(102\) 4.30262 + 4.05321i 0.426023 + 0.401327i
\(103\) 7.50199 + 3.10743i 0.739193 + 0.306184i 0.720324 0.693638i \(-0.243993\pi\)
0.0188696 + 0.999822i \(0.493993\pi\)
\(104\) −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 −0.894703 0.446661i \(-0.852613\pi\)
0.997528 0.0702732i \(-0.0223871\pi\)
\(108\) 10.1721 + 2.12812i 0.978808 + 0.204779i
\(109\) 1.23989 1.85563i 0.118760 0.177737i −0.767327 0.641256i \(-0.778413\pi\)
0.886087 + 0.463519i \(0.153413\pi\)
\(110\) 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 −0.978782 0.204906i \(-0.934311\pi\)
0.204906 + 0.978782i \(0.434311\pi\)
\(114\) 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 \(-0.907260\pi\)
0.957857 0.287247i \(-0.0927400\pi\)
\(128\) −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 0.940263 + 0.340450i \(0.110579\pi\)
−0.738405 + 0.674357i \(0.764421\pi\)
\(132\) −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 −0.996187 0.0872422i \(-0.972195\pi\)
0.642721 0.766100i \(-0.277805\pi\)
\(138\) 1.04026 + 2.31364i 0.0885530 + 0.196950i
\(139\) −1.29848 + 6.52792i −0.110136 + 0.553691i 0.885834 + 0.464003i \(0.153587\pi\)
−0.995970 + 0.0896886i \(0.971413\pi\)
\(140\) 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 0.978738 0.205115i \(-0.0657570\pi\)
0.825742 + 0.564049i \(0.190757\pi\)
\(150\) −0.788261 + 2.07617i −0.0643612 + 0.169518i
\(151\) −12.9225 + 5.35268i −1.05162 + 0.435595i −0.840470 0.541859i \(-0.817721\pi\)
−0.211150 + 0.977454i \(0.567721\pi\)
\(152\) 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 0.467140 0.884183i \(-0.345284\pi\)
0.769943 + 0.638112i \(0.220284\pi\)
\(158\) 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 0.996889 + 0.0788159i \(0.0251139\pi\)
−0.890844 + 0.454309i \(0.849886\pi\)
\(164\) 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 0.633632 + 0.773634i \(0.281563\pi\)
−0.995088 + 0.0989963i \(0.968437\pi\)
\(168\) 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 0.729540 0.683938i \(-0.239734\pi\)
−0.352694 + 0.935739i \(0.614734\pi\)
\(174\) 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 −0.972535 0.232756i \(-0.925226\pi\)
−0.587211 0.809434i \(-0.699774\pi\)
\(180\) −8.81013 11.6198i −0.656669 0.866090i
\(181\) −4.12689 0.820889i −0.306749 0.0610162i 0.0393156 0.999227i \(-0.487482\pi\)
−0.346065 + 0.938211i \(0.612482\pi\)
\(182\) 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 0.571839 0.820366i \(-0.306230\pi\)
−0.976753 + 0.214370i \(0.931230\pi\)
\(198\) −19.3193 8.91704i −1.37296 0.633707i
\(199\) −5.95397 + 14.3741i −0.422066 + 1.01896i 0.559672 + 0.828714i \(0.310927\pi\)
−0.981737 + 0.190242i \(0.939073\pi\)
\(200\) 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 0.528854 0.848713i \(-0.322622\pi\)
−0.581724 + 0.813386i \(0.697622\pi\)
\(212\) 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 −0.658349 0.752713i \(-0.728745\pi\)
−0.320184 + 0.947355i \(0.603745\pi\)
\(228\) 11.7769 + 3.17647i 0.779941 + 0.210367i
\(229\) 5.24160 + 7.84461i 0.346375 + 0.518386i 0.963226 0.268694i \(-0.0865919\pi\)
−0.616851 + 0.787080i \(0.711592\pi\)
\(230\) 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 −0.317210 0.948355i \(-0.602746\pi\)
0.446287 + 0.894890i \(0.352746\pi\)
\(234\) −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 −0.703939 0.710261i \(-0.748577\pi\)
0.710261 + 0.703939i \(0.248577\pi\)
\(240\) −16.8028 1.08763i −1.08462 0.0702059i
\(241\) −11.4564 11.4564i −0.737972 0.737972i 0.234213 0.972185i \(-0.424749\pi\)
−0.972185 + 0.234213i \(0.924749\pi\)
\(242\) 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 −0.604042 0.796953i \(-0.706444\pi\)
0.505132 + 0.863042i \(0.331444\pi\)
\(252\) −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 \(-0.873616\pi\)
0.922207 0.386696i \(-0.126384\pi\)
\(258\) 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 0.902518 0.430653i \(-0.141717\pi\)
0.333659 + 0.942694i \(0.391717\pi\)
\(264\) −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 −0.970922 0.239396i \(-0.923050\pi\)
0.592729 + 0.805402i \(0.298050\pi\)
\(270\) −1.55278 17.7918i −0.0944992 1.08277i
\(271\) 10.8048 10.8048i 0.656342 0.656342i −0.298170 0.954513i \(-0.596376\pi\)
0.954513 + 0.298170i \(0.0963764\pi\)
\(272\) 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 0.795689 + 0.605705i \(0.207109\pi\)
−0.966914 + 0.255101i \(0.917891\pi\)
\(278\) 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 0.843882 0.536529i \(-0.180265\pi\)
0.217332 + 0.976098i \(0.430265\pi\)
\(282\) −7.49081 + 7.95175i −0.446072 + 0.473520i
\(283\) −18.2010 + 12.1615i −1.08194 + 0.722928i −0.962872 0.269958i \(-0.912990\pi\)
−0.119067 + 0.992886i \(0.537990\pi\)
\(284\) 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 −0.273710 0.961812i \(-0.588251\pi\)
0.783854 + 0.620945i \(0.213251\pi\)
\(294\) −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 0.240659 + 0.970610i \(0.422636\pi\)
−0.988823 + 0.149096i \(0.952364\pi\)
\(308\) −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 0.111642 0.993749i \(-0.464389\pi\)
0.781629 + 0.623744i \(0.214389\pi\)
\(312\) −16.8543 + 0.544652i −0.954187 + 0.0308348i
\(313\) 12.5925 + 5.21598i 0.711769 + 0.294824i 0.709036 0.705172i \(-0.249130\pi\)
0.00273268 + 0.999996i \(0.499130\pi\)
\(314\) 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 −0.191876 0.981419i \(-0.561457\pi\)
0.198303 + 0.980141i \(0.436457\pi\)
\(318\) −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 0.673067 + 0.739582i \(0.264977\pi\)
−0.904858 + 0.425713i \(0.860023\pi\)
\(332\) 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 −0.930491 0.366316i \(-0.880619\pi\)
0.366316 + 0.930491i \(0.380619\pi\)
\(338\) −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 0.748803 0.662793i \(-0.230629\pi\)
−0.898895 + 0.438164i \(0.855629\pi\)
\(348\) 2.50563 + 4.35649i 0.134316 + 0.233532i
\(349\) −2.56083 + 0.509380i −0.137078 + 0.0272665i −0.263152 0.964754i \(-0.584762\pi\)
0.126074 + 0.992021i \(0.459762\pi\)
\(350\) −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 −0.117397 0.993085i \(-0.537455\pi\)
0.785229 0.619205i \(-0.212545\pi\)
\(360\) −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 0.909322 0.416093i \(-0.136601\pi\)
−0.416093 + 0.909322i \(0.636601\pi\)
\(368\) 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 0.490896 0.871218i \(-0.336670\pi\)
0.120128 + 0.992758i \(0.461670\pi\)
\(374\) −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 −0.999774 0.0212405i \(-0.993238\pi\)
0.362973 0.931799i \(-0.381762\pi\)
\(380\) −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 0.449343 0.893359i \(-0.351658\pi\)
−0.997312 + 0.0732653i \(0.976658\pi\)
\(390\) 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 0.969096 0.246686i \(-0.0793415\pi\)
0.142949 + 0.989730i \(0.454342\pi\)
\(398\) −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 0.982572 + 0.185880i \(0.0595136\pi\)
0.185880 + 0.982572i \(0.440486\pi\)
\(402\) −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 −0.892862 0.450331i \(-0.851306\pi\)
0.949781 + 0.312916i \(0.101306\pi\)
\(410\) −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 0.368956 0.929447i \(-0.379715\pi\)
0.696555 + 0.717504i \(0.254715\pi\)
\(420\) 33.2989 19.1518i 1.62482 0.934513i
\(421\) −16.3718 24.5021i −0.797913 1.19416i −0.977607 0.210439i \(-0.932511\pi\)
0.179694 0.983723i \(-0.442489\pi\)
\(422\) −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 −0.712316 0.701859i \(-0.752354\pi\)
0.701859 + 0.712316i \(0.252354\pi\)
\(432\) 19.2610 7.81116i 0.926695 0.375814i
\(433\) 12.6377 + 12.6377i 0.607329 + 0.607329i 0.942247 0.334918i \(-0.108709\pi\)
−0.334918 + 0.942247i \(0.608709\pi\)
\(434\) −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 0.995308 + 0.0967598i \(0.0308479\pi\)
−0.635369 + 0.772208i \(0.719152\pi\)
\(440\) 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 −0.816225 0.577734i \(-0.803937\pi\)
0.221401 + 0.975183i \(0.428937\pi\)
\(444\) −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 \(-0.678717\pi\)
0.532420 0.846480i \(-0.321283\pi\)
\(450\) −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 0.356725 0.934209i \(-0.383893\pi\)
0.912829 + 0.408343i \(0.133893\pi\)
\(458\) 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 −0.919679 0.392670i \(-0.871551\pi\)
0.714726 + 0.699405i \(0.246551\pi\)
\(462\) 29.7366 47.5142i 1.38347 2.21056i
\(463\) −1.05229 + 1.05229i −0.0489040 + 0.0489040i −0.731136 0.682232i \(-0.761009\pi\)
0.682232 + 0.731136i \(0.261009\pi\)
\(464\) 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 −0.132606 0.991169i \(-0.542334\pi\)
0.966467 0.256792i \(-0.0826655\pi\)
\(468\) −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 \(-0.917746\pi\)
0.966798 0.255543i \(-0.0822543\pi\)
\(480\) −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 0.418538 0.908199i \(-0.362543\pi\)
−0.346243 + 0.938145i \(0.612543\pi\)
\(488\) 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 −0.772631 0.634855i \(-0.781060\pi\)
0.956767 0.290856i \(-0.0939401\pi\)
\(492\) 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 −0.730034 0.683411i \(-0.760496\pi\)
0.910761 + 0.412933i \(0.135496\pi\)
\(500\) −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 −0.363091 0.931754i \(-0.618279\pi\)
0.402105 + 0.915593i \(0.368279\pi\)
\(504\) −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 0.647067 0.762433i \(-0.275995\pi\)
0.889582 + 0.456775i \(0.150995\pi\)
\(510\) 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 −0.929193 0.369594i \(-0.879497\pi\)
0.395696 0.918381i \(-0.370503\pi\)
\(522\) −0.244464 + 6.15028i −0.0106999 + 0.269190i
\(523\) 7.29918 36.6954i 0.319171 1.60458i −0.404570 0.914507i \(-0.632579\pi\)
0.723740 0.690072i \(-0.242421\pi\)
\(524\) 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 −0.787775 0.615963i \(-0.788767\pi\)
−0.492091 + 0.870544i \(0.663767\pi\)
\(542\) 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 0.639798 + 0.768543i \(0.279018\pi\)
−0.296987 + 0.954881i \(0.595982\pi\)
\(548\) −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 −0.183646 0.982992i \(-0.558790\pi\)
−0.978445 + 0.206508i \(0.933790\pi\)
\(558\) 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 0.276901 0.960899i \(-0.410693\pi\)
−0.781789 + 0.623543i \(0.785693\pi\)
\(564\) −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 0.183785 + 0.982966i \(0.441165\pi\)
−0.825018 + 0.565107i \(0.808835\pi\)
\(570\) −0.625407 20.9527i −0.0261954 0.877612i
\(571\) −8.40507 12.5791i −0.351741 0.526418i 0.612839 0.790208i \(-0.290027\pi\)
−0.964580 + 0.263790i \(0.915027\pi\)
\(572\) 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 0.574347 0.818612i \(-0.305256\pi\)
0.217358 + 0.976092i \(0.430256\pi\)
\(588\) −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 0.912620 0.408809i \(-0.134056\pi\)
−0.408809 + 0.912620i \(0.634056\pi\)
\(594\) −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 0.844856 0.534994i \(-0.179686\pi\)
−0.975701 + 0.219105i \(0.929686\pi\)
\(600\) 1.00675 + 4.32594i 0.0411004 + 0.176606i
\(601\) 15.3797 37.1299i 0.627351 1.51456i −0.215551 0.976493i \(-0.569155\pi\)
0.842902 0.538067i \(-0.180845\pi\)
\(602\) −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 0.950845 0.309667i \(-0.100218\pi\)
−0.649968 + 0.759962i \(0.725218\pi\)
\(614\) −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 −0.264172 0.964476i \(-0.585099\pi\)
0.495189 + 0.868785i \(0.335099\pi\)
\(618\) 18.5950 + 7.05997i 0.747999 + 0.283994i
\(619\) −28.4168 5.65245i −1.14217 0.227191i −0.412477 0.910968i \(-0.635336\pi\)
−0.729691 + 0.683777i \(0.760336\pi\)
\(620\) −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 0.985937 0.167116i \(-0.0534455\pi\)
−0.815332 + 0.578994i \(0.803446\pi\)
\(632\) −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 \(0.225689\pi\)
−0.758998 + 0.651093i \(0.774311\pi\)
\(642\) 2.21340 13.1698i 0.0873560 0.519772i
\(643\) 3.22911 0.642310i 0.127344 0.0253302i −0.131007 0.991381i \(-0.541821\pi\)
0.258351 + 0.966051i \(0.416821\pi\)
\(644\) −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 0.123850 0.992301i \(-0.460476\pi\)
−0.614088 + 0.789238i \(0.710476\pi\)
\(648\) 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 −0.877544 0.479495i \(-0.840820\pi\)
0.778818 + 0.627250i \(0.215820\pi\)
\(654\) 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 −0.994570 0.104073i \(-0.966812\pi\)
0.476756 + 0.879036i \(0.341812\pi\)
\(660\) 27.7873 + 31.7912i 1.08162 + 1.23747i
\(661\) −5.43822 + 27.3398i −0.211522 + 1.06339i 0.718398 + 0.695632i \(0.244876\pi\)
−0.929920 + 0.367761i \(0.880124\pi\)
\(662\) 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 \(0.0771779\pi\)
−0.970750 + 0.240093i \(0.922822\pi\)
\(674\) −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 −0.343014 0.939330i \(-0.611448\pi\)
0.736563 + 0.676369i \(0.236448\pi\)
\(678\) −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 0.791922 + 0.610622i \(0.209081\pi\)
−0.965316 + 0.261086i \(0.915919\pi\)
\(684\) 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 −0.455205 0.890387i \(-0.650434\pi\)
0.996809 + 0.0798181i \(0.0254339\pi\)
\(692\) 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 0.310092 0.950707i \(-0.399640\pi\)
0.650307 + 0.759672i \(0.274640\pi\)
\(702\) −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 −0.331508 0.943452i \(-0.607557\pi\)
0.744774 + 0.667317i \(0.232557\pi\)
\(710\) −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 −0.997519 0.0703926i \(-0.977575\pi\)
−0.0703926 0.997519i \(-0.522425\pi\)
\(720\) −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 −0.924213 0.381878i \(-0.875278\pi\)
−0.383489 + 0.923545i \(0.625278\pi\)
\(728\) 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 −0.432695 0.901540i \(-0.642437\pi\)
−0.0547534 + 0.998500i \(0.517437\pi\)
\(734\) 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 0.975075 0.221873i \(-0.0712172\pi\)
−0.985760 + 0.168161i \(0.946217\pi\)
\(740\) 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 −0.140113 + 0.990135i \(0.544747\pi\)
−0.601056 + 0.799207i \(0.705253\pi\)
\(744\) 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 0.324240 0.945975i \(-0.394891\pi\)
−0.945975 + 0.324240i \(0.894891\pi\)
\(752\) 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 −0.564264 0.825595i \(-0.690840\pi\)
−0.837253 + 0.546816i \(0.815840\pi\)
\(758\) −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 0.684341 + 0.729162i \(0.260090\pi\)
−0.999498 + 0.0316936i \(0.989910\pi\)
\(762\) −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 0.901503 0.432773i \(-0.142465\pi\)