Properties

Label 570.2.bi.a.47.11
Level $570$
Weight $2$
Character 570.47
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 47.11
Character \(\chi\) \(=\) 570.47
Dual form 570.2.bi.a.473.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.819152 - 0.573576i) q^{2} +(-0.0360929 + 1.73167i) q^{3} +(0.342020 + 0.939693i) q^{4} +(0.368089 - 2.20556i) q^{5} +(1.02281 - 1.39780i) q^{6} +(-0.623042 + 0.166944i) q^{7} +(0.258819 - 0.965926i) q^{8} +(-2.99739 - 0.125002i) q^{9} +O(q^{10})\) \(q+(-0.819152 - 0.573576i) q^{2} +(-0.0360929 + 1.73167i) q^{3} +(0.342020 + 0.939693i) q^{4} +(0.368089 - 2.20556i) q^{5} +(1.02281 - 1.39780i) q^{6} +(-0.623042 + 0.166944i) q^{7} +(0.258819 - 0.965926i) q^{8} +(-2.99739 - 0.125002i) q^{9} +(-1.56658 + 1.59556i) q^{10} +(-1.95232 + 1.12717i) q^{11} +(-1.63959 + 0.558351i) q^{12} +(-3.88841 + 0.340192i) q^{13} +(0.606121 + 0.220610i) q^{14} +(3.80603 + 0.717016i) q^{15} +(-0.766044 + 0.642788i) q^{16} +(-4.32802 - 3.03051i) q^{17} +(2.38362 + 1.82163i) q^{18} +(0.0260871 + 4.35882i) q^{19} +(2.19845 - 0.408456i) q^{20} +(-0.266605 - 1.08493i) q^{21} +(2.24576 + 0.196479i) q^{22} +(1.63077 + 0.760439i) q^{23} +(1.66333 + 0.483053i) q^{24} +(-4.72902 - 1.62369i) q^{25} +(3.38032 + 1.95163i) q^{26} +(0.324648 - 5.18600i) q^{27} +(-0.369969 - 0.528370i) q^{28} +(-1.38260 + 7.84114i) q^{29} +(-2.70646 - 2.77040i) q^{30} +(1.69681 - 2.93896i) q^{31} +(0.996195 - 0.0871557i) q^{32} +(-1.88143 - 3.42146i) q^{33} +(1.80707 + 4.96490i) q^{34} +(0.138870 + 1.43561i) q^{35} +(-0.907705 - 2.85938i) q^{36} +(0.860111 + 0.860111i) q^{37} +(2.47875 - 3.58550i) q^{38} +(-0.448757 - 6.74574i) q^{39} +(-2.03514 - 0.926389i) q^{40} +(-3.79388 - 4.52137i) q^{41} +(-0.403902 + 1.04164i) q^{42} +(-8.64041 + 4.02909i) q^{43} +(-1.72692 - 1.44906i) q^{44} +(-1.37901 + 6.56493i) q^{45} +(-0.899676 - 1.55828i) q^{46} +(-6.88289 - 9.82978i) q^{47} +(-1.08545 - 1.34974i) q^{48} +(-5.70187 + 3.29197i) q^{49} +(2.94248 + 4.04250i) q^{50} +(5.40407 - 7.38534i) q^{51} +(-1.64959 - 3.53756i) q^{52} +(-6.10817 - 2.84829i) q^{53} +(-3.24050 + 4.06191i) q^{54} +(1.76742 + 4.72086i) q^{55} +0.645021i q^{56} +(-7.54900 - 0.112148i) q^{57} +(5.63006 - 5.63006i) q^{58} +(-0.503211 - 2.85385i) q^{59} +(0.627965 + 3.82174i) q^{60} +(9.92362 - 3.61190i) q^{61} +(-3.07567 + 1.43421i) q^{62} +(1.88837 - 0.422514i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(-0.680967 + 8.70135i) q^{65} +(-0.421293 + 3.88184i) q^{66} +(-0.903262 + 0.632471i) q^{67} +(1.36748 - 5.10350i) q^{68} +(-1.37569 + 2.79651i) q^{69} +(0.709676 - 1.25563i) q^{70} +(0.913572 - 2.51002i) q^{71} +(-0.896526 + 2.86291i) q^{72} +(-0.670093 + 7.65920i) q^{73} +(-0.211222 - 1.19790i) q^{74} +(2.98238 - 8.13052i) q^{75} +(-4.08703 + 1.51532i) q^{76} +(1.02820 - 1.02820i) q^{77} +(-3.50159 + 5.78318i) q^{78} +(6.38417 + 7.60836i) q^{79} +(1.13574 + 1.92616i) q^{80} +(8.96875 + 0.749363i) q^{81} +(0.514413 + 5.87977i) q^{82} +(2.78606 - 0.746524i) q^{83} +(0.928318 - 0.621595i) q^{84} +(-8.27708 + 8.43022i) q^{85} +(9.38880 + 1.65550i) q^{86} +(-13.5284 - 2.67723i) q^{87} +(0.583466 + 2.17753i) q^{88} +(8.24773 + 6.92067i) q^{89} +(4.89511 - 4.58671i) q^{90} +(2.36585 - 0.861099i) q^{91} +(-0.156824 + 1.79250i) q^{92} +(5.02809 + 3.04440i) q^{93} +11.9999i q^{94} +(9.62326 + 1.54690i) q^{95} +(0.114970 + 1.72823i) q^{96} +(7.15107 - 10.2128i) q^{97} +(6.55889 + 0.573829i) q^{98} +(5.99276 - 3.13453i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.819152 0.573576i −0.579228 0.405580i
\(3\) −0.0360929 + 1.73167i −0.0208383 + 0.999783i
\(4\) 0.342020 + 0.939693i 0.171010 + 0.469846i
\(5\) 0.368089 2.20556i 0.164614 0.986358i
\(6\) 1.02281 1.39780i 0.417562 0.570651i
\(7\) −0.623042 + 0.166944i −0.235488 + 0.0630988i −0.374633 0.927173i \(-0.622231\pi\)
0.139145 + 0.990272i \(0.455565\pi\)
\(8\) 0.258819 0.965926i 0.0915064 0.341506i
\(9\) −2.99739 0.125002i −0.999132 0.0416675i
\(10\) −1.56658 + 1.59556i −0.495396 + 0.504562i
\(11\) −1.95232 + 1.12717i −0.588645 + 0.339855i −0.764562 0.644551i \(-0.777045\pi\)
0.175916 + 0.984405i \(0.443711\pi\)
\(12\) −1.63959 + 0.558351i −0.473308 + 0.161182i
\(13\) −3.88841 + 0.340192i −1.07845 + 0.0943522i −0.612509 0.790464i \(-0.709840\pi\)
−0.465941 + 0.884816i \(0.654284\pi\)
\(14\) 0.606121 + 0.220610i 0.161993 + 0.0589605i
\(15\) 3.80603 + 0.717016i 0.982714 + 0.185133i
\(16\) −0.766044 + 0.642788i −0.191511 + 0.160697i
\(17\) −4.32802 3.03051i −1.04970 0.735006i −0.0844727 0.996426i \(-0.526921\pi\)
−0.965225 + 0.261419i \(0.915809\pi\)
\(18\) 2.38362 + 1.82163i 0.561825 + 0.429363i
\(19\) 0.0260871 + 4.35882i 0.00598480 + 0.999982i
\(20\) 2.19845 0.408456i 0.491587 0.0913336i
\(21\) −0.266605 1.08493i −0.0581779 0.236752i
\(22\) 2.24576 + 0.196479i 0.478798 + 0.0418894i
\(23\) 1.63077 + 0.760439i 0.340038 + 0.158562i 0.585134 0.810936i \(-0.301042\pi\)
−0.245096 + 0.969499i \(0.578820\pi\)
\(24\) 1.66333 + 0.483053i 0.339525 + 0.0986029i
\(25\) −4.72902 1.62369i −0.945804 0.324738i
\(26\) 3.38032 + 1.95163i 0.662936 + 0.382746i
\(27\) 0.324648 5.18600i 0.0624786 0.998046i
\(28\) −0.369969 0.528370i −0.0699175 0.0998526i
\(29\) −1.38260 + 7.84114i −0.256743 + 1.45606i 0.534815 + 0.844969i \(0.320381\pi\)
−0.791558 + 0.611094i \(0.790730\pi\)
\(30\) −2.70646 2.77040i −0.494129 0.505803i
\(31\) 1.69681 2.93896i 0.304756 0.527854i −0.672451 0.740142i \(-0.734758\pi\)
0.977207 + 0.212288i \(0.0680916\pi\)
\(32\) 0.996195 0.0871557i 0.176104 0.0154071i
\(33\) −1.88143 3.42146i −0.327514 0.595600i
\(34\) 1.80707 + 4.96490i 0.309911 + 0.851473i
\(35\) 0.138870 + 1.43561i 0.0234733 + 0.242662i
\(36\) −0.907705 2.85938i −0.151284 0.476564i
\(37\) 0.860111 + 0.860111i 0.141401 + 0.141401i 0.774264 0.632863i \(-0.218120\pi\)
−0.632863 + 0.774264i \(0.718120\pi\)
\(38\) 2.47875 3.58550i 0.402106 0.581645i
\(39\) −0.448757 6.74574i −0.0718586 1.08018i
\(40\) −2.03514 0.926389i −0.321784 0.146475i
\(41\) −3.79388 4.52137i −0.592505 0.706120i 0.383581 0.923507i \(-0.374691\pi\)
−0.976085 + 0.217388i \(0.930246\pi\)
\(42\) −0.403902 + 1.04164i −0.0623234 + 0.160729i
\(43\) −8.64041 + 4.02909i −1.31765 + 0.614431i −0.949041 0.315153i \(-0.897944\pi\)
−0.368610 + 0.929584i \(0.620166\pi\)
\(44\) −1.72692 1.44906i −0.260344 0.218454i
\(45\) −1.37901 + 6.56493i −0.205571 + 0.978642i
\(46\) −0.899676 1.55828i −0.132650 0.229757i
\(47\) −6.88289 9.82978i −1.00397 1.43382i −0.898281 0.439422i \(-0.855183\pi\)
−0.105691 0.994399i \(-0.533705\pi\)
\(48\) −1.08545 1.34974i −0.156671 0.194818i
\(49\) −5.70187 + 3.29197i −0.814552 + 0.470282i
\(50\) 2.94248 + 4.04250i 0.416129 + 0.571696i
\(51\) 5.40407 7.38534i 0.756721 1.03415i
\(52\) −1.64959 3.53756i −0.228757 0.490571i
\(53\) −6.10817 2.84829i −0.839021 0.391242i −0.0448927 0.998992i \(-0.514295\pi\)
−0.794129 + 0.607750i \(0.792072\pi\)
\(54\) −3.24050 + 4.06191i −0.440977 + 0.552756i
\(55\) 1.76742 + 4.72086i 0.238319 + 0.636560i
\(56\) 0.645021i 0.0861945i
\(57\) −7.54900 0.112148i −0.999890 0.0148544i
\(58\) 5.63006 5.63006i 0.739262 0.739262i
\(59\) −0.503211 2.85385i −0.0655125 0.371540i −0.999884 0.0152392i \(-0.995149\pi\)
0.934371 0.356301i \(-0.115962\pi\)
\(60\) 0.627965 + 3.82174i 0.0810700 + 0.493384i
\(61\) 9.92362 3.61190i 1.27059 0.462457i 0.383280 0.923632i \(-0.374794\pi\)
0.887309 + 0.461175i \(0.152572\pi\)
\(62\) −3.07567 + 1.43421i −0.390610 + 0.182144i
\(63\) 1.88837 0.422514i 0.237913 0.0532318i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) −0.680967 + 8.70135i −0.0844635 + 1.07927i
\(66\) −0.421293 + 3.88184i −0.0518576 + 0.477821i
\(67\) −0.903262 + 0.632471i −0.110351 + 0.0772686i −0.627449 0.778657i \(-0.715901\pi\)
0.517098 + 0.855926i \(0.327012\pi\)
\(68\) 1.36748 5.10350i 0.165831 0.618890i
\(69\) −1.37569 + 2.79651i −0.165614 + 0.336660i
\(70\) 0.709676 1.25563i 0.0848225 0.150077i
\(71\) 0.913572 2.51002i 0.108421 0.297885i −0.873603 0.486639i \(-0.838223\pi\)
0.982024 + 0.188754i \(0.0604450\pi\)
\(72\) −0.896526 + 2.86291i −0.105657 + 0.337397i
\(73\) −0.670093 + 7.65920i −0.0784284 + 0.896441i 0.850450 + 0.526056i \(0.176330\pi\)
−0.928878 + 0.370385i \(0.879226\pi\)
\(74\) −0.211222 1.19790i −0.0245541 0.139253i
\(75\) 2.98238 8.13052i 0.344376 0.938832i
\(76\) −4.08703 + 1.51532i −0.468814 + 0.173819i
\(77\) 1.02820 1.02820i 0.117174 0.117174i
\(78\) −3.50159 + 5.78318i −0.396478 + 0.654816i
\(79\) 6.38417 + 7.60836i 0.718276 + 0.856008i 0.994462 0.105097i \(-0.0335152\pi\)
−0.276186 + 0.961104i \(0.589071\pi\)
\(80\) 1.13574 + 1.92616i 0.126979 + 0.215352i
\(81\) 8.96875 + 0.749363i 0.996528 + 0.0832626i
\(82\) 0.514413 + 5.87977i 0.0568075 + 0.649312i
\(83\) 2.78606 0.746524i 0.305810 0.0819416i −0.102651 0.994717i \(-0.532732\pi\)
0.408461 + 0.912776i \(0.366066\pi\)
\(84\) 0.928318 0.621595i 0.101288 0.0678216i
\(85\) −8.27708 + 8.43022i −0.897775 + 0.914385i
\(86\) 9.38880 + 1.65550i 1.01242 + 0.178517i
\(87\) −13.5284 2.67723i −1.45040 0.287029i
\(88\) 0.583466 + 2.17753i 0.0621977 + 0.232125i
\(89\) 8.24773 + 6.92067i 0.874258 + 0.733589i 0.964990 0.262286i \(-0.0844764\pi\)
−0.0907326 + 0.995875i \(0.528921\pi\)
\(90\) 4.89511 4.58671i 0.515990 0.483482i
\(91\) 2.36585 0.861099i 0.248008 0.0902677i
\(92\) −0.156824 + 1.79250i −0.0163500 + 0.186882i
\(93\) 5.02809 + 3.04440i 0.521388 + 0.315690i
\(94\) 11.9999i 1.23770i
\(95\) 9.62326 + 1.54690i 0.987326 + 0.158708i
\(96\) 0.114970 + 1.72823i 0.0117341 + 0.176387i
\(97\) 7.15107 10.2128i 0.726081 1.03695i −0.271147 0.962538i \(-0.587403\pi\)
0.997228 0.0744128i \(-0.0237083\pi\)
\(98\) 6.55889 + 0.573829i 0.662548 + 0.0579655i
\(99\) 5.99276 3.13453i 0.602295 0.315032i
\(100\) −0.0916525 4.99916i −0.00916525 0.499916i
\(101\) −9.86216 + 11.7533i −0.981322 + 1.16949i 0.00420761 + 0.999991i \(0.498661\pi\)
−0.985530 + 0.169503i \(0.945784\pi\)
\(102\) −8.66281 + 2.95007i −0.857746 + 0.292100i
\(103\) 6.31115 + 1.69107i 0.621856 + 0.166626i 0.555971 0.831202i \(-0.312346\pi\)
0.0658844 + 0.997827i \(0.479013\pi\)
\(104\) −0.677794 + 3.84396i −0.0664632 + 0.376931i
\(105\) −2.49102 + 0.188662i −0.243099 + 0.0184115i
\(106\) 3.36981 + 5.83668i 0.327305 + 0.566908i
\(107\) −0.401690 1.49913i −0.0388329 0.144926i 0.943788 0.330553i \(-0.107235\pi\)
−0.982620 + 0.185627i \(0.940569\pi\)
\(108\) 4.98428 1.46865i 0.479613 0.141321i
\(109\) 6.38903 17.5537i 0.611958 1.68134i −0.113895 0.993493i \(-0.536333\pi\)
0.725854 0.687849i \(-0.241445\pi\)
\(110\) 1.25999 4.88085i 0.120135 0.465371i
\(111\) −1.52048 + 1.45839i −0.144317 + 0.138424i
\(112\) 0.369969 0.528370i 0.0349588 0.0499263i
\(113\) −11.9645 11.9645i −1.12552 1.12552i −0.990896 0.134627i \(-0.957016\pi\)
−0.134627 0.990896i \(-0.542984\pi\)
\(114\) 6.11945 + 4.42180i 0.573139 + 0.414139i
\(115\) 2.27746 3.31685i 0.212375 0.309298i
\(116\) −7.84114 + 1.38260i −0.728031 + 0.128372i
\(117\) 11.6976 0.533628i 1.08144 0.0493339i
\(118\) −1.22470 + 2.62637i −0.112742 + 0.241777i
\(119\) 3.20246 + 1.16560i 0.293569 + 0.106850i
\(120\) 1.67766 3.49077i 0.153149 0.318662i
\(121\) −2.95898 + 5.12510i −0.268998 + 0.465918i
\(122\) −10.2007 2.73326i −0.923524 0.247458i
\(123\) 7.96648 6.40658i 0.718313 0.577662i
\(124\) 3.34207 + 0.589296i 0.300126 + 0.0529204i
\(125\) −5.32185 + 9.83249i −0.476001 + 0.879445i
\(126\) −1.78921 0.737022i −0.159395 0.0656592i
\(127\) 1.87817 + 21.4676i 0.166661 + 1.90494i 0.375221 + 0.926935i \(0.377567\pi\)
−0.208560 + 0.978010i \(0.566878\pi\)
\(128\) 0.422618 + 0.906308i 0.0373545 + 0.0801070i
\(129\) −6.66522 15.1078i −0.586840 1.33017i
\(130\) 5.54870 6.73714i 0.486654 0.590886i
\(131\) 15.1877 2.67801i 1.32696 0.233979i 0.535155 0.844754i \(-0.320253\pi\)
0.791804 + 0.610775i \(0.209142\pi\)
\(132\) 2.57163 2.93817i 0.223832 0.255735i
\(133\) −0.743931 2.71137i −0.0645070 0.235106i
\(134\) 1.10268 0.0952570
\(135\) −11.3186 2.62494i −0.974146 0.225919i
\(136\) −4.04742 + 3.39619i −0.347063 + 0.291221i
\(137\) −3.20232 + 6.86740i −0.273593 + 0.586722i −0.994312 0.106505i \(-0.966034\pi\)
0.720719 + 0.693227i \(0.243812\pi\)
\(138\) 2.73091 1.50170i 0.232471 0.127833i
\(139\) 6.36386 7.58415i 0.539775 0.643279i −0.425362 0.905023i \(-0.639853\pi\)
0.965137 + 0.261744i \(0.0842977\pi\)
\(140\) −1.30154 + 0.621502i −0.110000 + 0.0525265i
\(141\) 17.2704 11.5641i 1.45443 0.973876i
\(142\) −2.18804 + 1.53208i −0.183616 + 0.128570i
\(143\) 7.20795 5.04706i 0.602759 0.422056i
\(144\) 2.37649 1.83093i 0.198041 0.152578i
\(145\) 16.7852 + 5.93566i 1.39394 + 0.492930i
\(146\) 4.94204 5.88970i 0.409006 0.487435i
\(147\) −5.49483 9.99259i −0.453206 0.824175i
\(148\) −0.514065 + 1.10242i −0.0422558 + 0.0906180i
\(149\) −5.53219 + 4.64206i −0.453214 + 0.380292i −0.840627 0.541614i \(-0.817813\pi\)
0.387413 + 0.921906i \(0.373369\pi\)
\(150\) −7.10650 + 4.94951i −0.580243 + 0.404126i
\(151\) 2.04942 0.166780 0.0833898 0.996517i \(-0.473425\pi\)
0.0833898 + 0.996517i \(0.473425\pi\)
\(152\) 4.21705 + 1.10295i 0.342048 + 0.0894609i
\(153\) 12.5940 + 9.62464i 1.01816 + 0.778106i
\(154\) −1.43201 + 0.252501i −0.115394 + 0.0203471i
\(155\) −5.85749 4.82423i −0.470485 0.387491i
\(156\) 6.18543 2.72887i 0.495231 0.218485i
\(157\) −1.93976 4.15984i −0.154810 0.331991i 0.813572 0.581465i \(-0.197520\pi\)
−0.968382 + 0.249474i \(0.919742\pi\)
\(158\) −0.865632 9.89422i −0.0688660 0.787142i
\(159\) 5.15277 10.4746i 0.408641 0.830686i
\(160\) 0.174461 2.22925i 0.0137924 0.176238i
\(161\) −1.14299 0.201539i −0.0900800 0.0158835i
\(162\) −6.91695 5.75811i −0.543447 0.452399i
\(163\) −0.883695 0.236785i −0.0692163 0.0185465i 0.224045 0.974579i \(-0.428074\pi\)
−0.293261 + 0.956032i \(0.594740\pi\)
\(164\) 2.95112 5.11148i 0.230443 0.399140i
\(165\) −8.23878 + 2.89020i −0.641388 + 0.225002i
\(166\) −2.71040 0.986504i −0.210368 0.0765676i
\(167\) −2.69623 + 5.78208i −0.208640 + 0.447430i −0.982583 0.185825i \(-0.940504\pi\)
0.773943 + 0.633256i \(0.218282\pi\)
\(168\) −1.11697 0.0232807i −0.0861758 0.00179614i
\(169\) 2.20148 0.388181i 0.169345 0.0298600i
\(170\) 11.6156 2.15809i 0.890873 0.165518i
\(171\) 0.466670 13.0684i 0.0356871 0.999363i
\(172\) −6.74130 6.74130i −0.514020 0.514020i
\(173\) 0.504515 0.720522i 0.0383576 0.0547803i −0.799515 0.600646i \(-0.794910\pi\)
0.837873 + 0.545866i \(0.183799\pi\)
\(174\) 9.54622 + 9.95263i 0.723697 + 0.754507i
\(175\) 3.21744 + 0.222146i 0.243216 + 0.0167927i
\(176\) 0.771030 2.11839i 0.0581186 0.159679i
\(177\) 4.96011 0.768394i 0.372824 0.0577560i
\(178\) −2.78661 10.3998i −0.208865 0.779497i
\(179\) 0.381156 + 0.660181i 0.0284889 + 0.0493442i 0.879918 0.475125i \(-0.157597\pi\)
−0.851429 + 0.524469i \(0.824264\pi\)
\(180\) −6.64067 + 0.949494i −0.494966 + 0.0707711i
\(181\) −1.23867 + 7.02486i −0.0920698 + 0.522154i 0.903536 + 0.428512i \(0.140962\pi\)
−0.995606 + 0.0936418i \(0.970149\pi\)
\(182\) −2.43190 0.651625i −0.180264 0.0483016i
\(183\) 5.89647 + 17.3148i 0.435879 + 1.27995i
\(184\) 1.15660 1.37838i 0.0852658 0.101616i
\(185\) 2.21363 1.58043i 0.162749 0.116196i
\(186\) −2.37257 5.37782i −0.173965 0.394321i
\(187\) 11.8656 + 1.03810i 0.867695 + 0.0759135i
\(188\) 6.88289 9.82978i 0.501986 0.716910i
\(189\) 0.663500 + 3.28530i 0.0482626 + 0.238970i
\(190\) −6.99565 6.78682i −0.507518 0.492368i
\(191\) 3.46336i 0.250600i 0.992119 + 0.125300i \(0.0399893\pi\)
−0.992119 + 0.125300i \(0.960011\pi\)
\(192\) 0.897095 1.48163i 0.0647422 0.106927i
\(193\) 1.46640 16.7610i 0.105554 1.20648i −0.740005 0.672601i \(-0.765177\pi\)
0.845559 0.533882i \(-0.179267\pi\)
\(194\) −11.7156 + 4.26414i −0.841133 + 0.306147i
\(195\) −15.0433 1.49327i −1.07728 0.106935i
\(196\) −5.04360 4.23208i −0.360257 0.302291i
\(197\) 6.56020 + 24.4830i 0.467395 + 1.74434i 0.648826 + 0.760937i \(0.275260\pi\)
−0.181431 + 0.983404i \(0.558073\pi\)
\(198\) −6.70687 0.869650i −0.476637 0.0618033i
\(199\) −19.7898 3.48947i −1.40286 0.247362i −0.579541 0.814943i \(-0.696768\pi\)
−0.823317 + 0.567581i \(0.807879\pi\)
\(200\) −2.79232 + 4.14764i −0.197447 + 0.293283i
\(201\) −1.06263 1.58698i −0.0749523 0.111937i
\(202\) 14.8200 3.97101i 1.04273 0.279399i
\(203\) −0.447608 5.11618i −0.0314159 0.359085i
\(204\) 8.78825 + 2.55223i 0.615300 + 0.178692i
\(205\) −11.3687 + 6.70338i −0.794022 + 0.468184i
\(206\) −4.19983 5.00516i −0.292616 0.348726i
\(207\) −4.79299 2.48319i −0.333136 0.172593i
\(208\) 2.76002 2.76002i 0.191373 0.191373i
\(209\) −4.96406 8.48039i −0.343371 0.586601i
\(210\) 2.14874 + 1.27425i 0.148277 + 0.0879315i
\(211\) −1.27493 7.23047i −0.0877696 0.497766i −0.996725 0.0808716i \(-0.974230\pi\)
0.908955 0.416894i \(-0.136881\pi\)
\(212\) 0.587396 6.71397i 0.0403425 0.461117i
\(213\) 4.31356 + 1.67260i 0.295561 + 0.114605i
\(214\) −0.530819 + 1.45841i −0.0362861 + 0.0996951i
\(215\) 5.70597 + 20.5400i 0.389144 + 1.40082i
\(216\) −4.92527 1.65582i −0.335122 0.112664i
\(217\) −0.566544 + 2.11437i −0.0384595 + 0.143533i
\(218\) −15.3020 + 10.7146i −1.03638 + 0.725682i
\(219\) −13.2391 1.43683i −0.894612 0.0970917i
\(220\) −3.83166 + 3.27546i −0.258330 + 0.220831i
\(221\) 17.8600 + 10.3115i 1.20140 + 0.693627i
\(222\) 2.08200 0.322532i 0.139735 0.0216470i
\(223\) 6.17483 2.87937i 0.413497 0.192817i −0.204726 0.978819i \(-0.565630\pi\)
0.618224 + 0.786002i \(0.287853\pi\)
\(224\) −0.606121 + 0.220610i −0.0404982 + 0.0147401i
\(225\) 13.9718 + 5.45797i 0.931452 + 0.363865i
\(226\) 2.93818 + 16.6633i 0.195445 + 1.10842i
\(227\) 3.24195 3.24195i 0.215176 0.215176i −0.591286 0.806462i \(-0.701380\pi\)
0.806462 + 0.591286i \(0.201380\pi\)
\(228\) −2.47653 7.13210i −0.164012 0.472335i
\(229\) 5.61131i 0.370806i 0.982663 + 0.185403i \(0.0593590\pi\)
−0.982663 + 0.185403i \(0.940641\pi\)
\(230\) −3.76806 + 1.41070i −0.248458 + 0.0930191i
\(231\) 1.74340 + 1.81762i 0.114707 + 0.119591i
\(232\) 7.21611 + 3.36493i 0.473761 + 0.220918i
\(233\) 2.03363 + 4.36113i 0.133227 + 0.285707i 0.961592 0.274482i \(-0.0885064\pi\)
−0.828365 + 0.560189i \(0.810729\pi\)
\(234\) −9.88820 6.27235i −0.646412 0.410037i
\(235\) −24.2137 + 11.5624i −1.57953 + 0.754248i
\(236\) 2.50964 1.44894i 0.163363 0.0943179i
\(237\) −13.4056 + 10.7807i −0.870789 + 0.700282i
\(238\) −1.95474 2.79166i −0.126707 0.180956i
\(239\) −3.13164 5.42416i −0.202569 0.350860i 0.746786 0.665064i \(-0.231596\pi\)
−0.949355 + 0.314204i \(0.898262\pi\)
\(240\) −3.37648 + 1.89720i −0.217951 + 0.122464i
\(241\) 12.0375 + 10.1007i 0.775405 + 0.650642i 0.942087 0.335369i \(-0.108861\pi\)
−0.166682 + 0.986011i \(0.553305\pi\)
\(242\) 5.36348 2.50103i 0.344778 0.160773i
\(243\) −1.62136 + 15.5039i −0.104010 + 0.994576i
\(244\) 6.78816 + 8.08981i 0.434567 + 0.517897i
\(245\) 5.16186 + 13.7876i 0.329779 + 0.880855i
\(246\) −10.2004 + 0.678578i −0.650355 + 0.0432646i
\(247\) −1.58427 16.9400i −0.100805 1.07787i
\(248\) −2.39965 2.39965i −0.152378 0.152378i
\(249\) 1.19218 + 4.85150i 0.0755513 + 0.307451i
\(250\) 9.99909 5.00182i 0.632398 0.316343i
\(251\) 7.68569 + 21.1163i 0.485117 + 1.33285i 0.905055 + 0.425294i \(0.139829\pi\)
−0.419938 + 0.907553i \(0.637948\pi\)
\(252\) 1.04289 + 1.62998i 0.0656962 + 0.102679i
\(253\) −4.04092 + 0.353534i −0.254050 + 0.0222265i
\(254\) 10.7748 18.6625i 0.676072 1.17099i
\(255\) −14.2996 14.6375i −0.895479 0.916634i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −7.65718 10.9356i −0.477642 0.682144i 0.505947 0.862564i \(-0.331143\pi\)
−0.983590 + 0.180421i \(0.942254\pi\)
\(258\) −3.20566 + 16.1986i −0.199575 + 1.00848i
\(259\) −0.679476 0.392295i −0.0422206 0.0243760i
\(260\) −8.40950 + 2.33614i −0.521535 + 0.144881i
\(261\) 5.12437 23.3302i 0.317191 1.44410i
\(262\) −13.9771 6.51763i −0.863509 0.402661i
\(263\) −14.9447 1.30749i −0.921527 0.0806232i −0.383491 0.923545i \(-0.625278\pi\)
−0.538037 + 0.842922i \(0.680834\pi\)
\(264\) −3.79182 + 0.931780i −0.233371 + 0.0573471i
\(265\) −8.53042 + 12.4235i −0.524020 + 0.763171i
\(266\) −0.945788 + 2.64773i −0.0579900 + 0.162343i
\(267\) −12.2820 + 14.0326i −0.751648 + 0.858781i
\(268\) −0.903262 0.632471i −0.0551755 0.0386343i
\(269\) −5.21106 + 4.37260i −0.317724 + 0.266602i −0.787676 0.616090i \(-0.788716\pi\)
0.469952 + 0.882692i \(0.344271\pi\)
\(270\) 7.76601 + 8.64228i 0.472624 + 0.525953i
\(271\) −20.7816 7.56389i −1.26239 0.459474i −0.377822 0.925878i \(-0.623327\pi\)
−0.884572 + 0.466404i \(0.845549\pi\)
\(272\) 5.26343 0.460490i 0.319142 0.0279213i
\(273\) 1.40575 + 4.12796i 0.0850800 + 0.249836i
\(274\) 6.56217 3.78867i 0.396435 0.228882i
\(275\) 11.0627 2.16046i 0.667107 0.130281i
\(276\) −3.09838 0.336265i −0.186500 0.0202408i
\(277\) −0.897062 + 3.34788i −0.0538993 + 0.201155i −0.987625 0.156835i \(-0.949871\pi\)
0.933726 + 0.357990i \(0.116538\pi\)
\(278\) −9.56305 + 2.56241i −0.573554 + 0.153683i
\(279\) −5.45339 + 8.59713i −0.326486 + 0.514697i
\(280\) 1.42263 + 0.237425i 0.0850187 + 0.0141889i
\(281\) 4.01632 + 11.0347i 0.239594 + 0.658278i 0.999961 + 0.00878513i \(0.00279643\pi\)
−0.760368 + 0.649493i \(0.774981\pi\)
\(282\) −20.7800 0.433113i −1.23743 0.0257915i
\(283\) 0.0175905 + 0.0123170i 0.00104564 + 0.000732168i 0.574099 0.818786i \(-0.305352\pi\)
−0.573053 + 0.819518i \(0.694241\pi\)
\(284\) 2.67111 0.158501
\(285\) −3.02606 + 16.6085i −0.179248 + 0.983804i
\(286\) −8.79928 −0.520312
\(287\) 3.11856 + 2.18364i 0.184083 + 0.128896i
\(288\) −2.99688 + 0.136713i −0.176593 + 0.00805591i
\(289\) 3.73339 + 10.2574i 0.219611 + 0.603377i
\(290\) −10.3451 14.4898i −0.607484 0.850871i
\(291\) 17.4271 + 12.7519i 1.02160 + 0.747531i
\(292\) −7.42648 + 1.98992i −0.434602 + 0.116451i
\(293\) −2.75430 + 10.2792i −0.160908 + 0.600516i 0.837619 + 0.546255i \(0.183947\pi\)
−0.998527 + 0.0542612i \(0.982720\pi\)
\(294\) −1.23041 + 11.3372i −0.0717592 + 0.661197i
\(295\) −6.47958 + 0.0593920i −0.377256 + 0.00345793i
\(296\) 1.05342 0.608190i 0.0612286 0.0353503i
\(297\) 5.21169 + 10.4906i 0.302413 + 0.608729i
\(298\) 7.19428 0.629418i 0.416753 0.0364612i
\(299\) −6.59978 2.40212i −0.381675 0.138918i
\(300\) 8.66023 + 0.0217219i 0.499998 + 0.00125412i
\(301\) 4.71071 3.95276i 0.271521 0.227833i
\(302\) −1.67879 1.17550i −0.0966034 0.0676424i
\(303\) −19.9969 17.5023i −1.14879 1.00548i
\(304\) −2.82178 3.32228i −0.161840 0.190546i
\(305\) −4.31350 23.2167i −0.246990 1.32938i
\(306\) −4.79589 15.1076i −0.274163 0.863646i
\(307\) 16.1427 + 1.41230i 0.921312 + 0.0806044i 0.537934 0.842987i \(-0.319205\pi\)
0.383378 + 0.923591i \(0.374761\pi\)
\(308\) 1.31786 + 0.614528i 0.0750920 + 0.0350160i
\(309\) −3.15616 + 10.8678i −0.179548 + 0.618248i
\(310\) 2.03112 + 7.31150i 0.115360 + 0.415265i
\(311\) −22.5423 13.0148i −1.27826 0.738003i −0.301730 0.953393i \(-0.597564\pi\)
−0.976528 + 0.215390i \(0.930898\pi\)
\(312\) −6.63203 1.31246i −0.375465 0.0743033i
\(313\) −10.0444 14.3449i −0.567744 0.810822i 0.427923 0.903815i \(-0.359245\pi\)
−0.995667 + 0.0929930i \(0.970357\pi\)
\(314\) −0.797023 + 4.52014i −0.0449786 + 0.255086i
\(315\) −0.236793 4.32045i −0.0133418 0.243430i
\(316\) −4.96601 + 8.60137i −0.279360 + 0.483865i
\(317\) −12.6069 + 1.10297i −0.708077 + 0.0619487i −0.435504 0.900187i \(-0.643430\pi\)
−0.272572 + 0.962135i \(0.587874\pi\)
\(318\) −10.2289 + 5.62475i −0.573606 + 0.315420i
\(319\) −6.13902 16.8668i −0.343719 0.944360i
\(320\) −1.42156 + 1.72603i −0.0794674 + 0.0964880i
\(321\) 2.61050 0.641489i 0.145704 0.0358044i
\(322\) 0.820682 + 0.820682i 0.0457348 + 0.0457348i
\(323\) 13.0965 18.9441i 0.728711 1.05408i
\(324\) 2.36332 + 8.68416i 0.131296 + 0.482454i
\(325\) 18.9407 + 4.70479i 1.05064 + 0.260975i
\(326\) 0.588066 + 0.700830i 0.0325700 + 0.0388154i
\(327\) 30.1667 + 11.6973i 1.66822 + 0.646862i
\(328\) −5.34924 + 2.49439i −0.295362 + 0.137730i
\(329\) 5.92935 + 4.97531i 0.326896 + 0.274298i
\(330\) 8.40656 + 2.35805i 0.462766 + 0.129806i
\(331\) −11.6205 20.1273i −0.638722 1.10630i −0.985713 0.168431i \(-0.946130\pi\)
0.346991 0.937868i \(-0.387203\pi\)
\(332\) 1.65439 + 2.36272i 0.0907966 + 0.129671i
\(333\) −2.47058 2.68561i −0.135387 0.147170i
\(334\) 5.52508 3.18991i 0.302319 0.174544i
\(335\) 1.06247 + 2.22501i 0.0580491 + 0.121565i
\(336\) 0.901612 + 0.659736i 0.0491870 + 0.0359915i
\(337\) −10.3913 22.2842i −0.566050 1.21390i −0.956083 0.293097i \(-0.905314\pi\)
0.390033 0.920801i \(-0.372464\pi\)
\(338\) −2.02600 0.944739i −0.110200 0.0513870i
\(339\) 21.1504 20.2868i 1.14873 1.10183i
\(340\) −10.7527 4.89460i −0.583149 0.265447i
\(341\) 7.65038i 0.414291i
\(342\) −7.87798 + 10.4373i −0.425992 + 0.564385i
\(343\) 6.19562 6.19562i 0.334532 0.334532i
\(344\) 1.65550 + 9.38880i 0.0892586 + 0.506210i
\(345\) 5.66151 + 4.06354i 0.304805 + 0.218774i
\(346\) −0.826549 + 0.300839i −0.0444356 + 0.0161732i
\(347\) 31.4222 14.6524i 1.68683 0.786582i 0.688728 0.725020i \(-0.258170\pi\)
0.998103 0.0615619i \(-0.0196082\pi\)
\(348\) −2.11121 13.6282i −0.113173 0.730548i
\(349\) −10.0863 5.82330i −0.539905 0.311714i 0.205135 0.978734i \(-0.434237\pi\)
−0.745040 + 0.667019i \(0.767570\pi\)
\(350\) −2.50816 2.02742i −0.134067 0.108370i
\(351\) 0.501869 + 20.2757i 0.0267878 + 1.08224i
\(352\) −1.84665 + 1.29304i −0.0984266 + 0.0689191i
\(353\) 0.104267 0.389130i 0.00554958 0.0207113i −0.963096 0.269160i \(-0.913254\pi\)
0.968645 + 0.248449i \(0.0799207\pi\)
\(354\) −4.50381 2.21557i −0.239375 0.117756i
\(355\) −5.19973 2.93885i −0.275973 0.155978i
\(356\) −3.68241 + 10.1173i −0.195167 + 0.536218i
\(357\) −2.13403 + 5.50355i −0.112945 + 0.291279i
\(358\) 0.0664398 0.759410i 0.00351145 0.0401361i
\(359\) 0.685897 + 3.88991i 0.0362002 + 0.205302i 0.997543 0.0700514i \(-0.0223163\pi\)
−0.961343 + 0.275353i \(0.911205\pi\)
\(360\) 5.98432 + 3.03115i 0.315402 + 0.159756i
\(361\) −18.9986 + 0.227418i −0.999928 + 0.0119694i
\(362\) 5.04395 5.04395i 0.265104 0.265104i
\(363\) −8.76820 5.30896i −0.460211 0.278648i
\(364\) 1.61834 + 1.92866i 0.0848239 + 0.101089i
\(365\) 16.6462 + 4.29720i 0.871301 + 0.224926i
\(366\) 5.10128 17.5656i 0.266648 0.918167i
\(367\) 1.61808 + 18.4947i 0.0844631 + 0.965417i 0.913665 + 0.406468i \(0.133240\pi\)
−0.829202 + 0.558949i \(0.811205\pi\)
\(368\) −1.73804 + 0.465707i −0.0906016 + 0.0242766i
\(369\) 10.8066 + 14.0266i 0.562568 + 0.730195i
\(370\) −2.71980 + 0.0249297i −0.141395 + 0.00129603i
\(371\) 4.28115 + 0.754882i 0.222266 + 0.0391915i
\(372\) −1.14109 + 5.76610i −0.0591630 + 0.298958i
\(373\) −7.35929 27.4653i −0.381050 1.42210i −0.844301 0.535870i \(-0.819984\pi\)
0.463251 0.886227i \(-0.346683\pi\)
\(374\) −9.12426 7.65616i −0.471804 0.395891i
\(375\) −16.8346 9.57059i −0.869335 0.494223i
\(376\) −11.2763 + 4.10422i −0.581529 + 0.211659i
\(377\) 2.70864 30.9599i 0.139502 1.59452i
\(378\) 1.34086 3.07173i 0.0689664 0.157992i
\(379\) 2.58646i 0.132858i 0.997791 + 0.0664288i \(0.0211605\pi\)
−0.997791 + 0.0664288i \(0.978839\pi\)
\(380\) 1.83774 + 9.57198i 0.0942741 + 0.491032i
\(381\) −37.2428 + 2.47756i −1.90800 + 0.126929i
\(382\) 1.98650 2.83702i 0.101638 0.145154i
\(383\) −1.06873 0.0935022i −0.0546098 0.00477774i 0.0598181 0.998209i \(-0.480948\pi\)
−0.114428 + 0.993432i \(0.536503\pi\)
\(384\) −1.58468 + 0.699126i −0.0808681 + 0.0356771i
\(385\) −1.88929 2.64623i −0.0962873 0.134865i
\(386\) −10.8149 + 12.8887i −0.550465 + 0.656018i
\(387\) 26.4024 10.9967i 1.34211 0.558994i
\(388\) 12.0427 + 3.22683i 0.611375 + 0.163817i
\(389\) 4.59279 26.0470i 0.232864 1.32063i −0.614203 0.789148i \(-0.710522\pi\)
0.847067 0.531487i \(-0.178366\pi\)
\(390\) 11.4663 + 9.85171i 0.580617 + 0.498861i
\(391\) −4.75347 8.23325i −0.240393 0.416373i
\(392\) 1.70405 + 6.35961i 0.0860676 + 0.321209i
\(393\) 4.08927 + 26.3969i 0.206276 + 1.33155i
\(394\) 8.66906 23.8181i 0.436741 1.19994i
\(395\) 19.1307 11.2801i 0.962568 0.567566i
\(396\) 4.99514 + 4.55928i 0.251015 + 0.229112i
\(397\) −2.91122 + 4.15765i −0.146110 + 0.208667i −0.885535 0.464572i \(-0.846208\pi\)
0.739426 + 0.673238i \(0.235097\pi\)
\(398\) 14.2093 + 14.2093i 0.712250 + 0.712250i
\(399\) 4.72207 1.19039i 0.236399 0.0595938i
\(400\) 4.66633 1.79594i 0.233316 0.0897969i
\(401\) −19.9655 + 3.52046i −0.997031 + 0.175803i −0.648272 0.761409i \(-0.724508\pi\)
−0.348759 + 0.937212i \(0.613397\pi\)
\(402\) −0.0397989 + 1.90948i −0.00198499 + 0.0952363i
\(403\) −5.59808 + 12.0051i −0.278860 + 0.598018i
\(404\) −14.4175 5.24755i −0.717298 0.261075i
\(405\) 4.95407 19.5053i 0.246170 0.969227i
\(406\) −2.56786 + 4.44766i −0.127441 + 0.220734i
\(407\) −2.64870 0.709717i −0.131291 0.0351794i
\(408\) −5.73501 7.13139i −0.283925 0.353057i
\(409\) −25.6324 4.51968i −1.26744 0.223484i −0.500802 0.865562i \(-0.666961\pi\)
−0.766639 + 0.642078i \(0.778073\pi\)
\(410\) 13.1576 + 1.02971i 0.649806 + 0.0508537i
\(411\) −11.7765 5.79324i −0.580893 0.285760i
\(412\) 0.569456 + 6.50892i 0.0280551 + 0.320671i
\(413\) 0.789954 + 1.69406i 0.0388711 + 0.0833594i
\(414\) 2.50189 + 4.78326i 0.122961 + 0.235084i
\(415\) −0.620985 6.41963i −0.0304830 0.315127i
\(416\) −3.84396 + 0.677794i −0.188466 + 0.0332316i
\(417\) 12.9036 + 11.2939i 0.631891 + 0.553063i
\(418\) −0.797830 + 9.79400i −0.0390231 + 0.479040i
\(419\) −32.2336 −1.57471 −0.787357 0.616497i \(-0.788551\pi\)
−0.787357 + 0.616497i \(0.788551\pi\)
\(420\) −1.02926 2.27627i −0.0502229 0.111070i
\(421\) 11.8279 9.92481i 0.576458 0.483706i −0.307324 0.951605i \(-0.599433\pi\)
0.883782 + 0.467899i \(0.154989\pi\)
\(422\) −3.10287 + 6.65412i −0.151045 + 0.323917i
\(423\) 19.4020 + 30.3241i 0.943356 + 1.47441i
\(424\) −4.33214 + 5.16285i −0.210387 + 0.250730i
\(425\) 15.5467 + 21.3587i 0.754124 + 1.03605i
\(426\) −2.57410 3.84428i −0.124715 0.186256i
\(427\) −5.57985 + 3.90705i −0.270028 + 0.189076i
\(428\) 1.27133 0.890197i 0.0614522 0.0430293i
\(429\) 8.47971 + 12.6640i 0.409404 + 0.611423i
\(430\) 7.10723 20.0982i 0.342741 0.969223i
\(431\) 4.94569 5.89404i 0.238225 0.283906i −0.633665 0.773608i \(-0.718450\pi\)
0.871890 + 0.489702i \(0.162894\pi\)
\(432\) 3.08480 + 4.18139i 0.148418 + 0.201177i
\(433\) −2.85995 + 6.13317i −0.137440 + 0.294742i −0.962966 0.269623i \(-0.913101\pi\)
0.825526 + 0.564364i \(0.190879\pi\)
\(434\) 1.67684 1.40703i 0.0804908 0.0675398i
\(435\) −10.8845 + 28.8523i −0.521870 + 1.38336i
\(436\) 18.6803 0.894623
\(437\) −3.27208 + 7.12806i −0.156525 + 0.340981i
\(438\) 10.0207 + 8.77059i 0.478806 + 0.419075i
\(439\) 33.0916 5.83495i 1.57938 0.278487i 0.685934 0.727663i \(-0.259394\pi\)
0.893443 + 0.449176i \(0.148283\pi\)
\(440\) 5.01744 0.485348i 0.239197 0.0231381i
\(441\) 17.5022 9.15460i 0.833440 0.435933i
\(442\) −8.71566 18.6908i −0.414562 0.889030i
\(443\) 1.03787 + 11.8630i 0.0493109 + 0.563626i 0.980158 + 0.198217i \(0.0635152\pi\)
−0.930847 + 0.365409i \(0.880929\pi\)
\(444\) −1.89047 0.929982i −0.0897177 0.0441350i
\(445\) 18.2999 15.6435i 0.867497 0.741572i
\(446\) −6.70966 1.18309i −0.317712 0.0560212i
\(447\) −7.83886 9.74749i −0.370765 0.461041i
\(448\) 0.623042 + 0.166944i 0.0294360 + 0.00788735i
\(449\) 11.3136 19.5958i 0.533923 0.924781i −0.465292 0.885157i \(-0.654051\pi\)
0.999215 0.0396238i \(-0.0126160\pi\)
\(450\) −8.31444 12.4848i −0.391947 0.588539i
\(451\) 12.5032 + 4.55080i 0.588753 + 0.214289i
\(452\) 7.15084 15.3350i 0.336347 0.721299i
\(453\) −0.0739696 + 3.54893i −0.00347540 + 0.166743i
\(454\) −4.51516 + 0.796145i −0.211907 + 0.0373649i
\(455\) −1.02836 5.53499i −0.0482105 0.259484i
\(456\) −2.06215 + 7.26275i −0.0965691 + 0.340109i
\(457\) 8.37701 + 8.37701i 0.391860 + 0.391860i 0.875350 0.483490i \(-0.160631\pi\)
−0.483490 + 0.875350i \(0.660631\pi\)
\(458\) 3.21851 4.59651i 0.150391 0.214781i
\(459\) −17.1213 + 21.4612i −0.799154 + 1.00173i
\(460\) 3.89576 + 1.00569i 0.181641 + 0.0468904i
\(461\) −2.37470 + 6.52443i −0.110601 + 0.303873i −0.982629 0.185583i \(-0.940583\pi\)
0.872028 + 0.489456i \(0.162805\pi\)
\(462\) −0.385565 2.48888i −0.0179381 0.115793i
\(463\) 3.35052 + 12.5043i 0.155712 + 0.581125i 0.999043 + 0.0437311i \(0.0139245\pi\)
−0.843331 + 0.537394i \(0.819409\pi\)
\(464\) −3.98105 6.89538i −0.184816 0.320110i
\(465\) 8.56541 9.96915i 0.397211 0.462308i
\(466\) 0.835590 4.73887i 0.0387080 0.219524i
\(467\) 14.3496 + 3.84498i 0.664022 + 0.177924i 0.575061 0.818111i \(-0.304978\pi\)
0.0889617 + 0.996035i \(0.471645\pi\)
\(468\) 4.50227 + 10.8097i 0.208117 + 0.499676i
\(469\) 0.457183 0.544850i 0.0211108 0.0251588i
\(470\) 26.4666 + 4.41705i 1.22082 + 0.203743i
\(471\) 7.27349 3.20890i 0.335145 0.147858i
\(472\) −2.88685 0.252567i −0.132878 0.0116253i
\(473\) 12.3273 17.6053i 0.566812 0.809491i
\(474\) 17.1648 1.14188i 0.788406 0.0524484i
\(475\) 6.95400 20.6553i 0.319071 0.947731i
\(476\) 3.40799i 0.156205i
\(477\) 17.9525 + 9.30097i 0.821991 + 0.425862i
\(478\) −0.545881 + 6.23945i −0.0249680 + 0.285386i
\(479\) 1.89914 0.691230i 0.0867738 0.0315831i −0.298268 0.954482i \(-0.596409\pi\)
0.385042 + 0.922899i \(0.374187\pi\)
\(480\) 3.85404 + 0.382570i 0.175912 + 0.0174618i
\(481\) −3.63706 3.05186i −0.165836 0.139153i
\(482\) −4.06705 15.1784i −0.185249 0.691358i
\(483\) 0.390255 1.97201i 0.0177572 0.0897295i
\(484\) −5.82804 1.02764i −0.264911 0.0467110i
\(485\) −19.8927 19.5313i −0.903281 0.886873i
\(486\) 10.2208 11.7701i 0.463626 0.533902i
\(487\) −19.4779 + 5.21908i −0.882627 + 0.236499i −0.671540 0.740968i \(-0.734367\pi\)
−0.211087 + 0.977467i \(0.567700\pi\)
\(488\) −0.920408 10.5203i −0.0416649 0.476232i
\(489\) 0.441930 1.52173i 0.0199848 0.0688148i
\(490\) 3.67987 14.2548i 0.166240 0.643968i
\(491\) −23.6706 28.2096i −1.06824 1.27308i −0.960314 0.278922i \(-0.910023\pi\)
−0.107927 0.994159i \(-0.534421\pi\)
\(492\) 8.74491 + 5.29486i 0.394251 + 0.238711i
\(493\) 29.7466 29.7466i 1.33972 1.33972i
\(494\) −8.41862 + 14.7851i −0.378772 + 0.665215i
\(495\) −4.70753 14.3712i −0.211588 0.645937i
\(496\) 0.589296 + 3.34207i 0.0264602 + 0.150063i
\(497\) −0.150162 + 1.71636i −0.00673570 + 0.0769894i
\(498\) 1.80613 4.65792i 0.0809347 0.208726i
\(499\) 5.34376 14.6819i 0.239219 0.657250i −0.760747 0.649049i \(-0.775167\pi\)
0.999966 0.00820139i \(-0.00261061\pi\)
\(500\) −11.0597 1.63799i −0.494605 0.0732532i
\(501\) −9.91536 4.87768i −0.442986 0.217919i
\(502\) 5.81604 21.7058i 0.259583 0.968776i
\(503\) −25.8340 + 18.0892i −1.15188 + 0.806556i −0.983809 0.179219i \(-0.942643\pi\)
−0.168072 + 0.985775i \(0.553754\pi\)
\(504\) 0.0806292 1.93338i 0.00359151 0.0861197i
\(505\) 22.2924 + 26.0779i 0.992000 + 1.16045i
\(506\) 3.51290 + 2.02818i 0.156168 + 0.0901634i
\(507\) 0.592744 + 3.82626i 0.0263247 + 0.169930i
\(508\) −19.5306 + 9.10727i −0.866531 + 0.404070i
\(509\) −31.3171 + 11.3985i −1.38810 + 0.505229i −0.924625 0.380879i \(-0.875622\pi\)
−0.463480 + 0.886108i \(0.653399\pi\)
\(510\) 3.31787 + 20.1923i 0.146918 + 0.894128i
\(511\) −0.861158 4.88387i −0.0380954 0.216050i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 22.6133 + 1.27980i 0.998402 + 0.0565044i
\(514\) 13.3499i 0.588839i
\(515\) 6.05282 13.2972i 0.266719 0.585943i
\(516\) 11.9171 11.4304i 0.524619 0.503197i
\(517\) 24.5174 + 11.4327i 1.07827 + 0.502807i
\(518\) 0.331582 + 0.711081i 0.0145689 + 0.0312431i
\(519\) 1.22950 + 0.899662i 0.0539691 + 0.0394908i
\(520\) 8.22861 + 2.90984i 0.360849 + 0.127605i
\(521\) −19.8923 + 11.4848i −0.871497 + 0.503159i −0.867846 0.496834i \(-0.834496\pi\)
−0.00365179 + 0.999993i \(0.501162\pi\)
\(522\) −17.5793 + 16.1717i −0.769424 + 0.707817i
\(523\) 22.2562 + 31.7851i 0.973195 + 1.38987i 0.920277 + 0.391267i \(0.127963\pi\)
0.0529177 + 0.998599i \(0.483148\pi\)
\(524\) 7.71102 + 13.3559i 0.336857 + 0.583454i
\(525\) −0.500812 + 5.56355i −0.0218572 + 0.242813i
\(526\) 11.4920 + 9.64294i 0.501075 + 0.420452i
\(527\) −16.2504 + 7.57768i −0.707878 + 0.330089i
\(528\) 3.64053 + 1.41163i 0.158434 + 0.0614334i
\(529\) −12.7030 15.1388i −0.552304 0.658210i
\(530\) 14.1136 5.28391i 0.613054 0.229518i
\(531\) 1.15158 + 8.61702i 0.0499745 + 0.373947i
\(532\) 2.29342 1.62641i 0.0994323 0.0705139i
\(533\) 16.2903 + 16.2903i 0.705611 + 0.705611i
\(534\) 18.1096 4.45015i 0.783680 0.192577i
\(535\) −3.45428 + 0.334140i −0.149342 + 0.0144461i
\(536\) 0.377138 + 1.03618i 0.0162899 + 0.0447561i
\(537\) −1.15698 + 0.636210i −0.0499272 + 0.0274545i
\(538\) 6.77667 0.592882i 0.292163 0.0255610i
\(539\) 7.42123 12.8539i 0.319655 0.553659i
\(540\) −1.40453 11.5337i −0.0604415 0.496333i
\(541\) −7.67382 + 43.5204i −0.329923 + 1.87109i 0.142616 + 0.989778i \(0.454448\pi\)
−0.472540 + 0.881309i \(0.656663\pi\)
\(542\) 12.6848 + 18.1158i 0.544861 + 0.778142i
\(543\) −12.1201 2.39852i −0.520122 0.102931i
\(544\) −4.57567 2.64177i −0.196180 0.113265i
\(545\) −36.3641 20.5528i −1.55767 0.880383i
\(546\) 1.21618 4.18773i 0.0520475 0.179218i
\(547\) −27.9050 13.0123i −1.19313 0.556367i −0.278415 0.960461i \(-0.589809\pi\)
−0.914718 + 0.404094i \(0.867587\pi\)
\(548\) −7.54850 0.660409i −0.322456 0.0282113i
\(549\) −30.1965 + 9.58582i −1.28876 + 0.409113i
\(550\) −10.3012 4.57557i −0.439246 0.195103i
\(551\) −34.2142 5.82197i −1.45757 0.248024i
\(552\) 2.34517 + 2.05261i 0.0998169 + 0.0873648i
\(553\) −5.24778 3.67453i −0.223158 0.156257i
\(554\) 2.65510 2.22789i 0.112804 0.0946540i
\(555\) 2.65690 + 3.89032i 0.112779 + 0.165135i
\(556\) 9.30334 + 3.38614i 0.394549 + 0.143604i
\(557\) 43.2870 3.78713i 1.83413 0.160466i 0.883024 0.469327i \(-0.155504\pi\)
0.951107 + 0.308862i \(0.0999481\pi\)
\(558\) 9.39827 3.91442i 0.397860 0.165711i
\(559\) 32.2268 18.6061i 1.36305 0.786956i
\(560\) −1.02917 1.01048i −0.0434905 0.0427004i
\(561\) −2.22592 + 20.5098i −0.0939783 + 0.865925i
\(562\) 3.03929 11.3428i 0.128205 0.478467i
\(563\) 5.89041 1.57833i 0.248251 0.0665187i −0.132548 0.991177i \(-0.542316\pi\)
0.380799 + 0.924658i \(0.375649\pi\)
\(564\) 16.7736 + 12.2737i 0.706294 + 0.516816i
\(565\) −30.7924 + 21.9844i −1.29545 + 0.924892i
\(566\) −0.00734454 0.0201790i −0.000308714 0.000848185i
\(567\) −5.71301 + 1.03039i −0.239924 + 0.0432724i
\(568\) −2.18804 1.53208i −0.0918082 0.0642848i
\(569\) −31.5312 −1.32186 −0.660929 0.750449i \(-0.729837\pi\)
−0.660929 + 0.750449i \(0.729837\pi\)
\(570\) 12.0051 11.8692i 0.502836 0.497147i
\(571\) 31.1207 1.30236 0.651181 0.758923i \(-0.274274\pi\)
0.651181 + 0.758923i \(0.274274\pi\)
\(572\) 7.20795 + 5.04706i 0.301379 + 0.211028i
\(573\) −5.99741 0.125003i −0.250545 0.00522206i
\(574\) −1.30209 3.57747i −0.0543483 0.149321i
\(575\) −6.47721 6.24399i −0.270118 0.260392i
\(576\) 2.53332 + 1.60695i 0.105555 + 0.0669564i
\(577\) −45.3704 + 12.1570i −1.88879 + 0.506101i −0.890057 + 0.455850i \(0.849335\pi\)
−0.998737 + 0.0502504i \(0.983998\pi\)
\(578\) 2.82519 10.5438i 0.117513 0.438563i
\(579\) 28.9717 + 3.14428i 1.20402 + 0.130672i
\(580\) 0.163183 + 17.8030i 0.00677581 + 0.739231i
\(581\) −1.61121 + 0.930232i −0.0668442 + 0.0385925i
\(582\) −6.96125 20.4416i −0.288553 0.847330i
\(583\) 15.1356 1.32419i 0.626851 0.0548424i
\(584\) 7.22478 + 2.62961i 0.298964 + 0.108814i
\(585\) 3.12882 25.9963i 0.129361 1.07481i
\(586\) 8.15208 6.84041i 0.336759 0.282575i
\(587\) 35.5822 + 24.9149i 1.46864 + 1.02835i 0.988511 + 0.151150i \(0.0482976\pi\)
0.480125 + 0.877200i \(0.340591\pi\)
\(588\) 7.51062 8.58112i 0.309733 0.353879i
\(589\) 12.8547 + 7.31943i 0.529668 + 0.301592i
\(590\) 5.34183 + 3.66788i 0.219919 + 0.151004i
\(591\) −42.6333 + 10.4765i −1.75370 + 0.430944i
\(592\) −1.21175 0.106015i −0.0498027 0.00435717i
\(593\) −28.8212 13.4395i −1.18354 0.551896i −0.271680 0.962388i \(-0.587579\pi\)
−0.911864 + 0.410492i \(0.865357\pi\)
\(594\) 1.74802 11.5827i 0.0717222 0.475245i
\(595\) 3.74960 6.63419i 0.153719 0.271975i
\(596\) −6.25423 3.61088i −0.256183 0.147907i
\(597\) 6.75689 34.1435i 0.276541 1.39740i
\(598\) 4.02842 + 5.75318i 0.164734 + 0.235265i
\(599\) −3.83706 + 21.7611i −0.156778 + 0.889133i 0.800364 + 0.599515i \(0.204640\pi\)
−0.957142 + 0.289619i \(0.906471\pi\)
\(600\) −7.08158 4.98510i −0.289104 0.203516i
\(601\) 22.3710 38.7477i 0.912531 1.58055i 0.102055 0.994779i \(-0.467458\pi\)
0.810476 0.585771i \(-0.199208\pi\)
\(602\) −6.12600 + 0.535955i −0.249677 + 0.0218439i
\(603\) 2.78649 1.78285i 0.113475 0.0726035i
\(604\) 0.700944 + 1.92583i 0.0285210 + 0.0783608i
\(605\) 10.2146 + 8.41270i 0.415281 + 0.342025i
\(606\) 6.34160 + 25.8068i 0.257610 + 1.04833i
\(607\) 20.6047 + 20.6047i 0.836320 + 0.836320i 0.988372 0.152052i \(-0.0485881\pi\)
−0.152052 + 0.988372i \(0.548588\pi\)
\(608\) 0.405884 + 4.33996i 0.0164608 + 0.176009i
\(609\) 8.87571 0.590453i 0.359662 0.0239264i
\(610\) −9.78312 + 21.4921i −0.396107 + 0.870190i
\(611\) 30.1075 + 35.8807i 1.21802 + 1.45158i
\(612\) −4.73682 + 15.1263i −0.191475 + 0.611443i
\(613\) 10.8636 5.06576i 0.438775 0.204604i −0.190662 0.981656i \(-0.561063\pi\)
0.629437 + 0.777052i \(0.283286\pi\)
\(614\) −12.4133 10.4160i −0.500958 0.420354i
\(615\) −11.1977 19.9288i −0.451537 0.803605i
\(616\) −0.727048 1.25928i −0.0292936 0.0507380i
\(617\) −8.60645 12.2913i −0.346483 0.494829i 0.607653 0.794203i \(-0.292111\pi\)
−0.954136 + 0.299374i \(0.903222\pi\)
\(618\) 8.81890 7.09209i 0.354748 0.285286i
\(619\) −11.1753 + 6.45204i −0.449171 + 0.259329i −0.707480 0.706733i \(-0.750168\pi\)
0.258309 + 0.966062i \(0.416835\pi\)
\(620\) 2.52991 7.15423i 0.101604 0.287321i
\(621\) 4.47306 8.21028i 0.179498 0.329467i
\(622\) 11.0006 + 23.5909i 0.441084 + 0.945908i
\(623\) −6.29405 2.93496i −0.252166 0.117587i
\(624\) 4.67984 + 4.87908i 0.187344 + 0.195319i
\(625\) 19.7273 + 15.3569i 0.789091 + 0.614276i
\(626\) 17.5119i 0.699916i
\(627\) 14.8644 8.29006i 0.593629 0.331073i
\(628\) 3.24553 3.24553i 0.129511 0.129511i
\(629\) −1.11600 6.32915i −0.0444978 0.252360i
\(630\) −2.28414 + 3.67492i −0.0910022 + 0.146412i
\(631\) 17.5523 6.38851i 0.698745 0.254322i 0.0318701 0.999492i \(-0.489854\pi\)
0.666875 + 0.745170i \(0.267631\pi\)
\(632\) 9.00146 4.19745i 0.358059 0.166966i
\(633\) 12.5668 1.94679i 0.499487 0.0773779i
\(634\) 10.9596 + 6.32755i 0.435263 + 0.251299i
\(635\) 48.0396 + 3.75957i 1.90639 + 0.149194i
\(636\) 11.6052 + 1.25951i 0.460177 + 0.0499427i
\(637\) 21.0513 14.7403i 0.834082 0.584030i
\(638\) −4.64562 + 17.3377i −0.183922 + 0.686405i
\(639\) −3.05210 + 7.40932i −0.120739 + 0.293108i
\(640\) 2.15448 0.598509i 0.0851633 0.0236582i
\(641\) −2.28964 + 6.29073i −0.0904353 + 0.248469i −0.976662 0.214783i \(-0.931095\pi\)
0.886226 + 0.463252i \(0.153318\pi\)
\(642\) −2.50634 0.971845i −0.0989173 0.0383556i
\(643\) −0.678560 + 7.75598i −0.0267598 + 0.305866i 0.971006 + 0.239056i \(0.0768378\pi\)
−0.997766 + 0.0668104i \(0.978718\pi\)
\(644\) −0.201539 1.14299i −0.00794177 0.0450400i
\(645\) −35.7746 + 9.13954i −1.40862 + 0.359869i
\(646\) −21.5940 + 8.00623i −0.849603 + 0.315001i
\(647\) −14.8636 + 14.8636i −0.584349 + 0.584349i −0.936095 0.351746i \(-0.885588\pi\)
0.351746 + 0.936095i \(0.385588\pi\)
\(648\) 3.04511 8.46920i 0.119623 0.332701i
\(649\) 4.19920 + 5.00442i 0.164833 + 0.196440i
\(650\) −12.8168 14.7179i −0.502715 0.577283i
\(651\) −3.64095 1.05738i −0.142700 0.0414421i
\(652\) −0.0797360 0.911387i −0.00312270 0.0356927i
\(653\) −18.9095 + 5.06677i −0.739984 + 0.198278i −0.609071 0.793116i \(-0.708458\pi\)
−0.130913 + 0.991394i \(0.541791\pi\)
\(654\) −18.0019 26.8848i −0.703928 1.05128i
\(655\) −0.316074 34.4833i −0.0123501 1.34737i
\(656\) 5.81256 + 1.02491i 0.226942 + 0.0400161i
\(657\) 2.96595 22.8739i 0.115713 0.892395i
\(658\) −2.00331 7.47647i −0.0780973 0.291463i
\(659\) 7.16612 + 6.01309i 0.279152 + 0.234237i 0.771604 0.636103i \(-0.219455\pi\)
−0.492452 + 0.870340i \(0.663899\pi\)
\(660\) −5.53373 6.75341i −0.215400 0.262876i
\(661\) −26.7447 + 9.73426i −1.04025 + 0.378619i −0.804974 0.593310i \(-0.797821\pi\)
−0.235273 + 0.971929i \(0.575598\pi\)
\(662\) −2.02559 + 23.1526i −0.0787269 + 0.899852i
\(663\) −18.5008 + 30.5556i −0.718511 + 1.18668i
\(664\) 2.88435i 0.111934i
\(665\) −6.25394 + 0.642759i −0.242517 + 0.0249251i
\(666\) 0.483376 + 3.61698i 0.0187304 + 0.140155i
\(667\) −8.21741 + 11.7357i −0.318179 + 0.454407i
\(668\) −6.35554 0.556038i −0.245903 0.0215137i
\(669\) 4.76327 + 10.7967i 0.184159 + 0.417425i
\(670\) 0.405884 2.43203i 0.0156807 0.0939575i
\(671\) −15.3028 + 18.2372i −0.590759 + 0.704039i
\(672\) −0.360148 1.05757i −0.0138930 0.0407966i
\(673\) −13.4648 3.60788i −0.519030 0.139074i −0.0102123 0.999948i \(-0.503251\pi\)
−0.508818 + 0.860874i \(0.669917\pi\)
\(674\) −4.26964 + 24.2144i −0.164461 + 0.932702i
\(675\) −9.95572 + 23.9976i −0.383196 + 0.923667i
\(676\) 1.11772 + 1.93595i 0.0429893 + 0.0744596i
\(677\) −4.92104 18.3656i −0.189131 0.705846i −0.993708 0.111998i \(-0.964275\pi\)
0.804578 0.593847i \(-0.202392\pi\)
\(678\) −28.9614 + 4.48655i −1.11226 + 0.172305i
\(679\) −2.75046 + 7.55682i −0.105553 + 0.290004i
\(680\) 6.00070 + 10.1769i 0.230116 + 0.390268i
\(681\) 5.49700 + 5.73102i 0.210645 + 0.219613i
\(682\) 4.38808 6.26683i 0.168028 0.239969i
\(683\) −10.8498 10.8498i −0.415155 0.415155i 0.468375 0.883530i \(-0.344840\pi\)
−0.883530 + 0.468375i \(0.844840\pi\)
\(684\) 12.4399 4.03112i 0.475650 0.154134i
\(685\) 13.9677 + 9.59074i 0.533680 + 0.366443i
\(686\) −8.62882 + 1.52149i −0.329450 + 0.0580909i
\(687\) −9.71696 0.202529i −0.370725 0.00772694i
\(688\) 4.02909 8.64041i 0.153608 0.329413i
\(689\) 24.7200 + 8.99735i 0.941757 + 0.342772i
\(690\) −2.30688 6.57596i −0.0878215 0.250343i
\(691\) 8.40388 14.5559i 0.319699 0.553734i −0.660726 0.750627i \(-0.729752\pi\)
0.980425 + 0.196893i \(0.0630850\pi\)
\(692\) 0.849624 + 0.227656i 0.0322978 + 0.00865418i
\(693\) −3.21045 + 2.95340i −0.121955 + 0.112190i
\(694\) −34.1438 6.02048i −1.29608 0.228534i
\(695\) −14.3849 16.8275i −0.545649 0.638305i
\(696\) −6.08741 + 12.3745i −0.230743 + 0.469055i
\(697\) 2.71792 + 31.0660i 0.102949 + 1.17671i
\(698\) 4.92207 + 10.5554i 0.186303 + 0.399528i
\(699\) −7.62545 + 3.36417i −0.288421 + 0.127245i
\(700\) 0.891682 + 3.09939i 0.0337024 + 0.117146i
\(701\) −37.3989 + 6.59444i −1.41254 + 0.249068i −0.827285 0.561783i \(-0.810116\pi\)
−0.585253 + 0.810851i \(0.699005\pi\)
\(702\) 11.2186 16.8968i 0.423418 0.637727i
\(703\) −3.72663 + 3.77151i −0.140553 + 0.142245i
\(704\) 2.25434 0.0849636
\(705\) −19.1484 42.3476i −0.721170 1.59490i
\(706\) −0.308607 + 0.258952i −0.0116146 + 0.00974578i
\(707\) 4.18241 8.96921i 0.157296 0.337322i
\(708\) 2.41851 + 4.39817i 0.0908932 + 0.165293i
\(709\) −11.6417 + 13.8740i −0.437213 + 0.521051i −0.938989 0.343947i \(-0.888236\pi\)
0.501776 + 0.864998i \(0.332680\pi\)
\(710\) 2.57371 + 5.38981i 0.0965898 + 0.202276i
\(711\) −18.1848 23.6033i −0.681984 0.885193i
\(712\) 8.81952 6.17549i 0.330525 0.231436i
\(713\) 5.00201 3.50244i 0.187327 0.131168i
\(714\) 4.90480 3.28422i 0.183558 0.122909i
\(715\) −8.47844 17.7553i −0.317076 0.664012i
\(716\) −0.490004 + 0.583964i −0.0183123 + 0.0218238i
\(717\) 9.50591 5.22721i 0.355005 0.195214i
\(718\) 1.66931 3.57985i 0.0622981 0.133599i
\(719\) 23.5505 19.7612i 0.878284 0.736968i −0.0875412 0.996161i \(-0.527901\pi\)
0.965826 + 0.259193i \(0.0834565\pi\)
\(720\) −3.16347 5.91544i −0.117896 0.220455i
\(721\) −4.21442 −0.156953
\(722\) 15.6932 + 10.7109i 0.584041 + 0.398618i
\(723\) −17.9256 + 20.4805i −0.666659 + 0.761678i
\(724\) −7.02486 + 1.23867i −0.261077 + 0.0460349i
\(725\) 19.2699 34.8360i 0.715667 1.29378i
\(726\) 4.13739 + 9.37808i 0.153553 + 0.348053i
\(727\) −21.7344 46.6096i −0.806085 1.72865i −0.675681 0.737194i \(-0.736150\pi\)
−0.130404 0.991461i \(-0.541627\pi\)
\(728\) −0.219431 2.50810i −0.00813264 0.0929565i
\(729\) −26.7892 3.36725i −0.992193 0.124713i
\(730\) −11.1710 13.0679i −0.413457 0.483666i
\(731\) 49.6060 + 8.74688i 1.83475 + 0.323515i
\(732\) −14.2539 + 11.4629i −0.526840 + 0.423681i
\(733\) −6.83940 1.83261i −0.252619 0.0676891i 0.130287 0.991476i \(-0.458410\pi\)
−0.382906 + 0.923787i \(0.625077\pi\)
\(734\) 9.28269 16.0781i 0.342630 0.593453i
\(735\) −24.0619 + 8.44103i −0.887536 + 0.311352i
\(736\) 1.69084 + 0.615415i 0.0623251 + 0.0226845i
\(737\) 1.05055 2.25291i 0.0386975 0.0829871i
\(738\) −0.806914 17.6883i −0.0297029 0.651115i
\(739\) −33.8976 + 5.97707i −1.24694 + 0.219870i −0.757890 0.652383i \(-0.773769\pi\)
−0.489055 + 0.872253i \(0.662658\pi\)
\(740\) 2.24222 + 1.53959i 0.0824258 + 0.0565964i
\(741\) 29.3917 2.13203i 1.07973 0.0783220i
\(742\) −3.07393 3.07393i −0.112848 0.112848i
\(743\) 19.7864 28.2579i 0.725892 1.03668i −0.271352 0.962480i \(-0.587471\pi\)
0.997243 0.0742003i \(-0.0236404\pi\)
\(744\) 4.24203 4.06881i 0.155520 0.149170i
\(745\) 8.20201 + 13.9103i 0.300498 + 0.509633i
\(746\) −9.72504 + 26.7193i −0.356059 + 0.978264i
\(747\) −8.44425 + 1.88936i −0.308959 + 0.0691281i
\(748\) 3.08276 + 11.5050i 0.112717 + 0.420665i
\(749\) 0.500540 + 0.866961i 0.0182893 + 0.0316780i
\(750\) 8.30063 + 17.4957i 0.303096 + 0.638853i
\(751\) 4.55041 25.8066i 0.166047 0.941698i −0.781932 0.623364i \(-0.785766\pi\)
0.947979 0.318334i \(-0.103123\pi\)
\(752\) 11.5911 + 3.10581i 0.422682 + 0.113257i
\(753\) −36.8439 + 12.5470i −1.34267 + 0.457237i
\(754\) −19.9767 + 23.8072i −0.727507 + 0.867009i
\(755\) 0.754370 4.52013i 0.0274543 0.164504i
\(756\) −2.86024 + 1.74712i −0.104026 + 0.0635423i
\(757\) −14.3234 1.25313i −0.520593 0.0455460i −0.176168 0.984360i \(-0.556370\pi\)
−0.344424 + 0.938814i \(0.611926\pi\)
\(758\) 1.48353 2.11870i 0.0538844 0.0769548i
\(759\) −0.466358 7.01031i −0.0169277 0.254458i
\(760\) 3.98487 8.89499i 0.144546 0.322655i
\(761\) 44.8383i 1.62539i −0.582691 0.812694i \(-0.698000\pi\)
0.582691 0.812694i \(-0.302000\pi\)
\(762\) 31.9285 + 19.3321i 1.15665 + 0.700327i
\(763\) −1.05015 + 12.0033i −0.0380181 + 0.434549i
\(764\) −3.25449 + 1.18454i −0.117743 + 0.0428551i
\(765\) 25.8635 24.2340i 0.935095 0.876183i
\(766\) 0.821826 + 0.689594i 0.0296938 + 0.0249160i
\(767\) 2.92755 + 10.9258i 0.105708 + 0.394506i
\(768\) 1.69910 + 0.336247i 0.0613110 + 0.0121333i
\(769\) 39.9659 + 7.04706i 1.44121 + 0.254123i 0.838963 0.544189i \(-0.183163\pi\)
0.602243 + 0.798313i \(0.294274\pi\)
\(770\) 0.0298017 + 3.25132i 0.00107398 + 0.117170i
\(771\) 19.2133 12.8651i 0.691949 0.463324i
\(772\) 16.2517 4.35464i 0.584912 0.156727i
\(773\) 1.47713 + 16.8837i 0.0531287 + 0.607264i 0.975359 + 0.220623i \(0.0708092\pi\)