Properties

Label 483.2.bf.a.10.31
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.31
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.31

$q$-expansion

\(f(q)\) \(=\) \(q+(0.830750 - 2.40029i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-3.49916 - 2.75177i) q^{4} +(3.07521 - 0.293647i) q^{5} +(2.51414 - 0.361478i) q^{6} +(-2.46017 - 0.973435i) q^{7} +(-5.23843 + 3.36653i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(0.830750 - 2.40029i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-3.49916 - 2.75177i) q^{4} +(3.07521 - 0.293647i) q^{5} +(2.51414 - 0.361478i) q^{6} +(-2.46017 - 0.973435i) q^{7} +(-5.23843 + 3.36653i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(1.84989 - 7.62535i) q^{10} +(4.67599 - 1.61838i) q^{11} +(0.842463 - 4.37111i) q^{12} +(-1.23487 - 4.20558i) q^{13} +(-4.38031 + 5.09644i) q^{14} +(1.67015 + 2.59880i) q^{15} +(1.62986 + 6.71837i) q^{16} +(0.915811 + 0.366635i) q^{17} +(1.47334 + 2.06902i) q^{18} +(-5.65520 + 2.26400i) q^{19} +(-11.5687 - 7.43475i) q^{20} +(-0.262090 - 2.63274i) q^{21} -12.5682i q^{22} +(4.78739 + 0.284353i) q^{23} +(-5.39268 - 3.11347i) q^{24} +(4.46104 - 0.859794i) q^{25} +(-11.1205 - 0.529735i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(5.92985 + 10.1760i) q^{28} +(-0.209680 - 1.45836i) q^{29} +(7.62535 - 1.84989i) q^{30} +(1.21525 - 0.0578896i) q^{31} +(5.08260 + 0.485329i) q^{32} +(3.58113 + 3.41460i) q^{33} +(1.64084 - 1.89363i) q^{34} +(-7.85137 - 2.27110i) q^{35} +(4.27124 - 1.25415i) q^{36} +(8.71374 + 6.20503i) q^{37} +(0.736210 + 15.4550i) q^{38} +(3.17222 - 3.02471i) q^{39} +(-15.1207 + 11.8910i) q^{40} +(-3.66112 - 1.67198i) q^{41} +(-6.53708 - 1.55805i) q^{42} +(-4.22207 + 6.56967i) q^{43} +(-20.8154 - 7.20429i) q^{44} +(-1.54460 + 2.67532i) q^{45} +(4.65966 - 11.2549i) q^{46} +(-6.71763 + 3.87842i) q^{47} +(-5.22468 + 4.52721i) q^{48} +(5.10485 + 4.78963i) q^{49} +(1.64225 - 11.4221i) q^{50} +(0.0937703 + 0.982007i) q^{51} +(-7.25179 + 18.1141i) q^{52} +(6.13686 + 6.43616i) q^{53} +(-1.16389 + 2.25763i) q^{54} +(13.9044 - 6.34993i) q^{55} +(16.1645 - 3.18297i) q^{56} +(-4.60368 - 3.98911i) q^{57} +(-3.67468 - 0.708236i) q^{58} +(5.20021 + 1.26156i) q^{59} +(1.30719 - 13.6895i) q^{60} +(3.00790 + 1.55068i) q^{61} +(0.870618 - 2.96505i) q^{62} +(2.21997 - 1.43935i) q^{63} +(-0.356432 + 0.780478i) q^{64} +(-5.03244 - 12.5704i) q^{65} +(11.1711 - 5.75909i) q^{66} +(-1.52663 - 7.92091i) q^{67} +(-2.19567 - 3.80302i) q^{68} +(1.94097 + 4.38550i) q^{69} +(-11.9738 + 16.9589i) q^{70} +(6.02060 + 6.94814i) q^{71} +(0.296289 - 6.21988i) q^{72} +(1.22798 - 1.56150i) q^{73} +(22.1328 - 15.7607i) q^{74} +(2.80838 + 3.57115i) q^{75} +(26.0184 + 7.63970i) q^{76} +(-13.0791 - 0.570299i) q^{77} +(-4.62486 - 10.1270i) q^{78} +(-6.34659 + 6.65612i) q^{79} +(6.98499 + 20.1818i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-7.05471 + 7.39876i) q^{82} +(4.44954 + 9.74313i) q^{83} +(-6.32759 + 9.93358i) q^{84} +(2.92397 + 0.858555i) q^{85} +(12.2617 + 15.5920i) q^{86} +(1.20016 - 0.854629i) q^{87} +(-19.0465 + 24.2196i) q^{88} +(0.646007 - 13.5614i) q^{89} +(5.13839 + 5.93001i) q^{90} +(-1.05587 + 11.5485i) q^{91} +(-15.9694 - 14.1688i) q^{92} +(0.608315 + 1.05363i) q^{93} +(3.72869 + 19.3463i) q^{94} +(-16.7261 + 8.62290i) q^{95} +(1.89760 + 4.73998i) q^{96} +(-3.90736 + 8.55593i) q^{97} +(15.7374 - 8.27415i) q^{98} +(-1.39405 + 4.74770i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.830750 2.40029i 0.587429 1.69726i −0.122038 0.992525i \(-0.538943\pi\)
0.709467 0.704739i \(-0.248936\pi\)
\(3\) 0.458227 + 0.888835i 0.264557 + 0.513169i
\(4\) −3.49916 2.75177i −1.74958 1.37588i
\(5\) 3.07521 0.293647i 1.37528 0.131323i 0.618905 0.785466i \(-0.287577\pi\)
0.756371 + 0.654143i \(0.226971\pi\)
\(6\) 2.51414 0.361478i 1.02639 0.147573i
\(7\) −2.46017 0.973435i −0.929856 0.367924i
\(8\) −5.23843 + 3.36653i −1.85206 + 1.19025i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 1.84989 7.62535i 0.584987 2.41135i
\(11\) 4.67599 1.61838i 1.40986 0.487959i 0.487107 0.873342i \(-0.338052\pi\)
0.922756 + 0.385384i \(0.125931\pi\)
\(12\) 0.842463 4.37111i 0.243198 1.26183i
\(13\) −1.23487 4.20558i −0.342491 1.16642i −0.933147 0.359495i \(-0.882949\pi\)
0.590656 0.806924i \(-0.298869\pi\)
\(14\) −4.38031 + 5.09644i −1.17069 + 1.36208i
\(15\) 1.67015 + 2.59880i 0.431230 + 0.671007i
\(16\) 1.62986 + 6.71837i 0.407465 + 1.67959i
\(17\) 0.915811 + 0.366635i 0.222117 + 0.0889221i 0.480052 0.877240i \(-0.340618\pi\)
−0.257935 + 0.966162i \(0.583042\pi\)
\(18\) 1.47334 + 2.06902i 0.347269 + 0.487672i
\(19\) −5.65520 + 2.26400i −1.29739 + 0.519397i −0.914571 0.404426i \(-0.867471\pi\)
−0.382820 + 0.923823i \(0.625047\pi\)
\(20\) −11.5687 7.43475i −2.58684 1.66246i
\(21\) −0.262090 2.63274i −0.0571927 0.574511i
\(22\) 12.5682i 2.67955i
\(23\) 4.78739 + 0.284353i 0.998241 + 0.0592917i
\(24\) −5.39268 3.11347i −1.10078 0.635534i
\(25\) 4.46104 0.859794i 0.892207 0.171959i
\(26\) −11.1205 0.529735i −2.18091 0.103890i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) 5.92985 + 10.1760i 1.12064 + 1.92309i
\(29\) −0.209680 1.45836i −0.0389366 0.270810i 0.961048 0.276382i \(-0.0891355\pi\)
−0.999984 + 0.00557186i \(0.998226\pi\)
\(30\) 7.62535 1.84989i 1.39219 0.337742i
\(31\) 1.21525 0.0578896i 0.218266 0.0103973i 0.0618358 0.998086i \(-0.480304\pi\)
0.156430 + 0.987689i \(0.450001\pi\)
\(32\) 5.08260 + 0.485329i 0.898485 + 0.0857949i
\(33\) 3.58113 + 3.41460i 0.623395 + 0.594406i
\(34\) 1.64084 1.89363i 0.281402 0.324755i
\(35\) −7.85137 2.27110i −1.32712 0.383885i
\(36\) 4.27124 1.25415i 0.711873 0.209025i
\(37\) 8.71374 + 6.20503i 1.43253 + 1.02010i 0.992517 + 0.122109i \(0.0389658\pi\)
0.440014 + 0.897991i \(0.354974\pi\)
\(38\) 0.736210 + 15.4550i 0.119429 + 2.50712i
\(39\) 3.17222 3.02471i 0.507962 0.484341i
\(40\) −15.1207 + 11.8910i −2.39079 + 1.88014i
\(41\) −3.66112 1.67198i −0.571770 0.261119i 0.108480 0.994099i \(-0.465402\pi\)
−0.680250 + 0.732980i \(0.738129\pi\)
\(42\) −6.53708 1.55805i −1.00869 0.240413i
\(43\) −4.22207 + 6.56967i −0.643860 + 1.00187i 0.353920 + 0.935276i \(0.384848\pi\)
−0.997780 + 0.0665901i \(0.978788\pi\)
\(44\) −20.8154 7.20429i −3.13804 1.08609i
\(45\) −1.54460 + 2.67532i −0.230255 + 0.398814i
\(46\) 4.65966 11.2549i 0.687029 1.65945i
\(47\) −6.71763 + 3.87842i −0.979866 + 0.565726i −0.902230 0.431256i \(-0.858071\pi\)
−0.0776366 + 0.996982i \(0.524737\pi\)
\(48\) −5.22468 + 4.52721i −0.754118 + 0.653447i
\(49\) 5.10485 + 4.78963i 0.729264 + 0.684233i
\(50\) 1.64225 11.4221i 0.232249 1.61533i
\(51\) 0.0937703 + 0.982007i 0.0131305 + 0.137509i
\(52\) −7.25179 + 18.1141i −1.00564 + 2.51197i
\(53\) 6.13686 + 6.43616i 0.842963 + 0.884074i 0.994538 0.104372i \(-0.0332831\pi\)
−0.151575 + 0.988446i \(0.548435\pi\)
\(54\) −1.16389 + 2.25763i −0.158386 + 0.307225i
\(55\) 13.9044 6.34993i 1.87487 0.856225i
\(56\) 16.1645 3.18297i 2.16007 0.425342i
\(57\) −4.60368 3.98911i −0.609773 0.528371i
\(58\) −3.67468 0.708236i −0.482509 0.0929960i
\(59\) 5.20021 + 1.26156i 0.677009 + 0.164241i 0.559499 0.828831i \(-0.310994\pi\)
0.117510 + 0.993072i \(0.462509\pi\)
\(60\) 1.30719 13.6895i 0.168757 1.76730i
\(61\) 3.00790 + 1.55068i 0.385123 + 0.198544i 0.639905 0.768454i \(-0.278974\pi\)
−0.254783 + 0.966998i \(0.582004\pi\)
\(62\) 0.870618 2.96505i 0.110569 0.376562i
\(63\) 2.21997 1.43935i 0.279690 0.181340i
\(64\) −0.356432 + 0.780478i −0.0445540 + 0.0975597i
\(65\) −5.03244 12.5704i −0.624197 1.55917i
\(66\) 11.1711 5.75909i 1.37506 0.708895i
\(67\) −1.52663 7.92091i −0.186508 0.967693i −0.947699 0.319166i \(-0.896597\pi\)
0.761191 0.648527i \(-0.224615\pi\)
\(68\) −2.19567 3.80302i −0.266264 0.461184i
\(69\) 1.94097 + 4.38550i 0.233665 + 0.527953i
\(70\) −11.9738 + 16.9589i −1.43115 + 2.02698i
\(71\) 6.02060 + 6.94814i 0.714513 + 0.824592i 0.990636 0.136530i \(-0.0435950\pi\)
−0.276123 + 0.961122i \(0.589050\pi\)
\(72\) 0.296289 6.21988i 0.0349180 0.733020i
\(73\) 1.22798 1.56150i 0.143724 0.182760i −0.708862 0.705348i \(-0.750791\pi\)
0.852585 + 0.522588i \(0.175033\pi\)
\(74\) 22.1328 15.7607i 2.57289 1.83215i
\(75\) 2.80838 + 3.57115i 0.324284 + 0.412361i
\(76\) 26.0184 + 7.63970i 2.98452 + 0.876334i
\(77\) −13.0791 0.570299i −1.49050 0.0649916i
\(78\) −4.62486 10.1270i −0.523663 1.14666i
\(79\) −6.34659 + 6.65612i −0.714048 + 0.748872i −0.976369 0.216109i \(-0.930663\pi\)
0.262322 + 0.964981i \(0.415512\pi\)
\(80\) 6.98499 + 20.1818i 0.780945 + 2.25639i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −7.05471 + 7.39876i −0.779062 + 0.817057i
\(83\) 4.44954 + 9.74313i 0.488401 + 1.06945i 0.980068 + 0.198665i \(0.0636605\pi\)
−0.491667 + 0.870783i \(0.663612\pi\)
\(84\) −6.32759 + 9.93358i −0.690397 + 1.08384i
\(85\) 2.92397 + 0.858555i 0.317149 + 0.0931234i
\(86\) 12.2617 + 15.5920i 1.32221 + 1.68133i
\(87\) 1.20016 0.854629i 0.128671 0.0916259i
\(88\) −19.0465 + 24.2196i −2.03037 + 2.58182i
\(89\) 0.646007 13.5614i 0.0684766 1.43750i −0.659400 0.751792i \(-0.729190\pi\)
0.727877 0.685708i \(-0.240507\pi\)
\(90\) 5.13839 + 5.93001i 0.541634 + 0.625078i
\(91\) −1.05587 + 11.5485i −0.110686 + 1.21061i
\(92\) −15.9694 14.1688i −1.66492 1.47720i
\(93\) 0.608315 + 1.05363i 0.0630793 + 0.109257i
\(94\) 3.72869 + 19.3463i 0.384585 + 1.99542i
\(95\) −16.7261 + 8.62290i −1.71606 + 0.884691i
\(96\) 1.89760 + 4.73998i 0.193673 + 0.483772i
\(97\) −3.90736 + 8.55593i −0.396732 + 0.868723i 0.600859 + 0.799355i \(0.294825\pi\)
−0.997591 + 0.0693675i \(0.977902\pi\)
\(98\) 15.7374 8.27415i 1.58971 0.835815i
\(99\) −1.39405 + 4.74770i −0.140107 + 0.477162i
\(100\) −17.9758 9.26719i −1.79758 0.926719i
\(101\) −0.0266821 + 0.279427i −0.00265496 + 0.0278040i −0.996702 0.0811447i \(-0.974142\pi\)
0.994047 + 0.108949i \(0.0347485\pi\)
\(102\) 2.43501 + 0.590726i 0.241102 + 0.0584906i
\(103\) −1.95502 0.376799i −0.192634 0.0371271i 0.0920217 0.995757i \(-0.470667\pi\)
−0.284655 + 0.958630i \(0.591879\pi\)
\(104\) 20.6270 + 17.8734i 2.02265 + 1.75263i
\(105\) −1.57908 8.01926i −0.154102 0.782599i
\(106\) 20.5469 9.38344i 1.99569 0.911400i
\(107\) 1.45697 2.82612i 0.140850 0.273211i −0.807850 0.589388i \(-0.799369\pi\)
0.948700 + 0.316177i \(0.102399\pi\)
\(108\) 3.07193 + 3.22174i 0.295596 + 0.310012i
\(109\) 7.05789 17.6297i 0.676023 1.68862i −0.0479996 0.998847i \(-0.515285\pi\)
0.724023 0.689776i \(-0.242291\pi\)
\(110\) −3.69062 38.6499i −0.351886 3.68512i
\(111\) −1.52238 + 10.5884i −0.144498 + 1.00501i
\(112\) 2.53017 18.1149i 0.239079 1.71170i
\(113\) 10.4182 9.02745i 0.980064 0.849231i −0.00851013 0.999964i \(-0.502709\pi\)
0.988574 + 0.150733i \(0.0481634\pi\)
\(114\) −13.3996 + 7.73624i −1.25498 + 0.724565i
\(115\) 14.8057 0.531358i 1.38064 0.0495494i
\(116\) −3.27936 + 5.68002i −0.304481 + 0.527376i
\(117\) 4.14206 + 1.43358i 0.382934 + 0.132535i
\(118\) 7.34818 11.4340i 0.676455 1.05258i
\(119\) −1.89615 1.79347i −0.173820 0.164407i
\(120\) −17.4979 7.99102i −1.59733 0.729477i
\(121\) 10.5991 8.33526i 0.963559 0.757751i
\(122\) 6.22091 5.93162i 0.563215 0.537024i
\(123\) −0.191509 4.02027i −0.0172678 0.362496i
\(124\) −4.41166 3.14153i −0.396179 0.282118i
\(125\) −1.35417 + 0.397620i −0.121120 + 0.0355642i
\(126\) −1.61061 6.52433i −0.143484 0.581233i
\(127\) −6.69073 + 7.72151i −0.593706 + 0.685173i −0.970494 0.241126i \(-0.922483\pi\)
0.376788 + 0.926300i \(0.377029\pi\)
\(128\) 8.96763 + 8.55062i 0.792634 + 0.755775i
\(129\) −7.77402 0.742329i −0.684465 0.0653584i
\(130\) −34.3534 + 1.63646i −3.01299 + 0.143527i
\(131\) −3.96476 + 0.961840i −0.346402 + 0.0840363i −0.405186 0.914234i \(-0.632793\pi\)
0.0587831 + 0.998271i \(0.481278\pi\)
\(132\) −3.13475 21.8027i −0.272845 1.89768i
\(133\) 16.1166 0.0648483i 1.39749 0.00562306i
\(134\) −20.2808 2.91593i −1.75199 0.251898i
\(135\) −3.08570 0.146990i −0.265575 0.0126509i
\(136\) −6.03170 + 1.16252i −0.517214 + 0.0996849i
\(137\) −12.4724 7.20096i −1.06559 0.615219i −0.138618 0.990346i \(-0.544266\pi\)
−0.926974 + 0.375126i \(0.877599\pi\)
\(138\) 12.1390 1.01564i 1.03334 0.0864568i
\(139\) 18.5895i 1.57674i −0.615203 0.788369i \(-0.710926\pi\)
0.615203 0.788369i \(-0.289074\pi\)
\(140\) 21.2237 + 29.5521i 1.79373 + 2.49761i
\(141\) −6.52547 4.19367i −0.549544 0.353171i
\(142\) 21.6792 8.67904i 1.81928 0.728329i
\(143\) −12.5804 17.6668i −1.05203 1.47737i
\(144\) −6.41803 2.56939i −0.534836 0.214116i
\(145\) −1.07305 4.42318i −0.0891121 0.367325i
\(146\) −2.72792 4.24472i −0.225764 0.351296i
\(147\) −1.91801 + 6.73210i −0.158195 + 0.555255i
\(148\) −13.4160 45.6906i −1.10279 3.75574i
\(149\) 0.219576 1.13927i 0.0179884 0.0933327i −0.971825 0.235704i \(-0.924261\pi\)
0.989813 + 0.142371i \(0.0454726\pi\)
\(150\) 10.9049 3.77421i 0.890379 0.308163i
\(151\) −3.88049 + 15.9956i −0.315790 + 1.30170i 0.563776 + 0.825927i \(0.309348\pi\)
−0.879566 + 0.475776i \(0.842167\pi\)
\(152\) 22.0025 30.8982i 1.78464 2.50618i
\(153\) −0.829875 + 0.533328i −0.0670914 + 0.0431170i
\(154\) −12.2343 + 30.9199i −0.985871 + 2.49160i
\(155\) 3.72015 0.534878i 0.298810 0.0429624i
\(156\) −19.4234 + 1.85471i −1.55512 + 0.148496i
\(157\) 1.62909 + 1.28113i 0.130016 + 0.102245i 0.681049 0.732238i \(-0.261524\pi\)
−0.551034 + 0.834483i \(0.685766\pi\)
\(158\) 10.7042 + 20.7633i 0.851581 + 1.65184i
\(159\) −2.90861 + 8.40388i −0.230668 + 0.666471i
\(160\) 15.7726 1.24693
\(161\) −11.5010 5.35978i −0.906405 0.422409i
\(162\) −2.53999 −0.199561
\(163\) −1.70646 + 4.93049i −0.133660 + 0.386186i −0.991893 0.127074i \(-0.959441\pi\)
0.858233 + 0.513260i \(0.171563\pi\)
\(164\) 8.20994 + 15.9251i 0.641089 + 1.24354i
\(165\) 12.0154 + 9.44903i 0.935399 + 0.735606i
\(166\) 27.0828 2.58610i 2.10204 0.200720i
\(167\) −11.7418 + 1.68822i −0.908610 + 0.130638i −0.580744 0.814086i \(-0.697238\pi\)
−0.327866 + 0.944724i \(0.606329\pi\)
\(168\) 10.2361 + 12.9091i 0.789736 + 0.995957i
\(169\) −5.22572 + 3.35837i −0.401979 + 0.258336i
\(170\) 4.48987 6.30515i 0.344358 0.483583i
\(171\) 1.43614 5.91984i 0.109824 0.452701i
\(172\) 32.8519 11.3702i 2.50494 0.866967i
\(173\) −4.40771 + 22.8694i −0.335112 + 1.73873i 0.288943 + 0.957346i \(0.406696\pi\)
−0.624055 + 0.781380i \(0.714516\pi\)
\(174\) −1.05433 3.59072i −0.0799285 0.272212i
\(175\) −11.8119 2.22729i −0.892892 0.168368i
\(176\) 18.4940 + 28.7773i 1.39404 + 2.16917i
\(177\) 1.26156 + 5.20021i 0.0948244 + 0.390871i
\(178\) −32.0146 12.8167i −2.39959 0.960652i
\(179\) 3.83898 + 5.39110i 0.286939 + 0.402949i 0.932736 0.360560i \(-0.117414\pi\)
−0.645797 + 0.763509i \(0.723475\pi\)
\(180\) 12.7667 5.11100i 0.951571 0.380952i
\(181\) −16.6028 10.6700i −1.23408 0.793092i −0.249555 0.968361i \(-0.580284\pi\)
−0.984521 + 0.175269i \(0.943921\pi\)
\(182\) 26.8426 + 12.1283i 1.98971 + 0.899011i
\(183\) 3.38409i 0.250159i
\(184\) −26.0357 + 14.6274i −1.91938 + 1.07834i
\(185\) 28.6187 + 16.5230i 2.10409 + 1.21479i
\(186\) 3.03439 0.584830i 0.222492 0.0428818i
\(187\) 4.87568 + 0.232257i 0.356545 + 0.0169843i
\(188\) 34.1786 + 4.91414i 2.49273 + 0.358400i
\(189\) 2.29659 + 1.31365i 0.167052 + 0.0955537i
\(190\) 6.80230 + 47.3110i 0.493490 + 3.43230i
\(191\) −7.55942 + 1.83390i −0.546980 + 0.132696i −0.499721 0.866187i \(-0.666564\pi\)
−0.0472598 + 0.998883i \(0.515049\pi\)
\(192\) −0.857043 + 0.0408260i −0.0618517 + 0.00294636i
\(193\) 3.72911 + 0.356087i 0.268428 + 0.0256317i 0.228402 0.973567i \(-0.426650\pi\)
0.0400256 + 0.999199i \(0.487256\pi\)
\(194\) 17.2907 + 16.4866i 1.24140 + 1.18367i
\(195\) 8.86704 10.2331i 0.634982 0.732809i
\(196\) −4.68272 30.8070i −0.334480 2.20050i
\(197\) 4.01206 1.17805i 0.285847 0.0839324i −0.135666 0.990755i \(-0.543317\pi\)
0.421513 + 0.906822i \(0.361499\pi\)
\(198\) 10.2378 + 7.29028i 0.727566 + 0.518098i
\(199\) −0.455060 9.55289i −0.0322584 0.677186i −0.955858 0.293828i \(-0.905071\pi\)
0.923600 0.383358i \(-0.125232\pi\)
\(200\) −20.4743 + 19.5222i −1.44775 + 1.38043i
\(201\) 6.34084 4.98649i 0.447248 0.351720i
\(202\) 0.648541 + 0.296179i 0.0456312 + 0.0208391i
\(203\) −0.903769 + 3.79191i −0.0634321 + 0.266140i
\(204\) 2.37414 3.69424i 0.166223 0.258648i
\(205\) −11.7497 4.06660i −0.820633 0.284024i
\(206\) −2.52856 + 4.37959i −0.176173 + 0.305141i
\(207\) −3.00859 + 3.73476i −0.209111 + 0.259583i
\(208\) 26.2420 15.1508i 1.81956 1.05052i
\(209\) −22.7796 + 19.7387i −1.57570 + 1.36535i
\(210\) −20.5604 2.87175i −1.41880 0.198169i
\(211\) 1.61885 11.2593i 0.111446 0.775125i −0.855069 0.518514i \(-0.826485\pi\)
0.966515 0.256610i \(-0.0826057\pi\)
\(212\) −3.76304 39.4084i −0.258447 2.70658i
\(213\) −3.41695 + 8.53514i −0.234126 + 0.584818i
\(214\) −5.57315 5.84495i −0.380972 0.399552i
\(215\) −11.0546 + 21.4429i −0.753917 + 1.46239i
\(216\) 5.66422 2.58676i 0.385401 0.176007i
\(217\) −3.04608 1.04055i −0.206781 0.0706372i
\(218\) −36.4532 31.5869i −2.46893 2.13934i
\(219\) 1.95061 + 0.375949i 0.131810 + 0.0254043i
\(220\) −66.1273 16.0423i −4.45830 1.08157i
\(221\) 0.411008 4.30427i 0.0276474 0.289536i
\(222\) 24.1505 + 12.4505i 1.62088 + 0.835621i
\(223\) −5.67890 + 19.3406i −0.380287 + 1.29514i 0.517868 + 0.855461i \(0.326726\pi\)
−0.898155 + 0.439679i \(0.855092\pi\)
\(224\) −12.0316 6.14157i −0.803895 0.410351i
\(225\) −1.88729 + 4.13258i −0.125819 + 0.275506i
\(226\) −13.0136 32.5064i −0.865651 2.16229i
\(227\) −20.2913 + 10.4609i −1.34678 + 0.694314i −0.972478 0.232993i \(-0.925148\pi\)
−0.374302 + 0.927307i \(0.622118\pi\)
\(228\) 5.13190 + 26.6268i 0.339868 + 1.76340i
\(229\) 4.54519 + 7.87251i 0.300355 + 0.520230i 0.976216 0.216799i \(-0.0695615\pi\)
−0.675861 + 0.737029i \(0.736228\pi\)
\(230\) 11.0244 35.9795i 0.726931 2.37242i
\(231\) −5.48629 11.8865i −0.360971 0.782074i
\(232\) 6.00801 + 6.93361i 0.394445 + 0.455214i
\(233\) 0.126166 2.64855i 0.00826542 0.173513i −0.990960 0.134158i \(-0.957167\pi\)
0.999225 0.0393542i \(-0.0125301\pi\)
\(234\) 6.88203 8.75122i 0.449893 0.572085i
\(235\) −19.5192 + 13.8996i −1.27329 + 0.906708i
\(236\) −14.7248 18.7242i −0.958506 1.21884i
\(237\) −8.82437 2.59107i −0.573204 0.168308i
\(238\) −5.88008 + 3.06140i −0.381149 + 0.198441i
\(239\) −5.35564 11.7272i −0.346427 0.758570i −0.999999 0.00170490i \(-0.999457\pi\)
0.653571 0.756865i \(-0.273270\pi\)
\(240\) −14.7376 + 15.4563i −0.951307 + 0.997702i
\(241\) 0.371139 + 1.07233i 0.0239071 + 0.0690751i 0.956323 0.292312i \(-0.0944245\pi\)
−0.932416 + 0.361387i \(0.882303\pi\)
\(242\) −11.2018 32.3656i −0.720081 2.08054i
\(243\) 0.690079 0.723734i 0.0442686 0.0464276i
\(244\) −6.25802 13.7031i −0.400628 0.877254i
\(245\) 17.1049 + 13.2301i 1.09279 + 0.845239i
\(246\) −9.80894 2.88016i −0.625395 0.183633i
\(247\) 16.5049 + 20.9876i 1.05018 + 1.33541i
\(248\) −6.17113 + 4.39444i −0.391867 + 0.279047i
\(249\) −6.62115 + 8.41947i −0.419598 + 0.533562i
\(250\) −0.170571 + 3.58072i −0.0107879 + 0.226465i
\(251\) 9.42697 + 10.8793i 0.595025 + 0.686696i 0.970766 0.240029i \(-0.0771570\pi\)
−0.375740 + 0.926725i \(0.622612\pi\)
\(252\) −11.7288 1.07236i −0.738844 0.0675522i
\(253\) 22.8460 6.41817i 1.43632 0.403507i
\(254\) 12.9756 + 22.4744i 0.814160 + 1.41017i
\(255\) 0.576727 + 2.99234i 0.0361160 + 0.187388i
\(256\) 26.4486 13.6352i 1.65304 0.852200i
\(257\) 1.11805 + 2.79274i 0.0697418 + 0.174206i 0.959144 0.282920i \(-0.0913030\pi\)
−0.889402 + 0.457126i \(0.848879\pi\)
\(258\) −8.24008 + 18.0433i −0.513005 + 1.12332i
\(259\) −15.3971 23.7477i −0.956727 1.47561i
\(260\) −16.9816 + 57.8341i −1.05315 + 3.58672i
\(261\) 1.30957 + 0.675130i 0.0810603 + 0.0417895i
\(262\) −0.985023 + 10.3156i −0.0608549 + 0.637302i
\(263\) −26.4011 6.40483i −1.62796 0.394939i −0.685185 0.728369i \(-0.740279\pi\)
−0.942775 + 0.333430i \(0.891794\pi\)
\(264\) −30.2549 5.83115i −1.86206 0.358882i
\(265\) 20.7621 + 17.9905i 1.27541 + 1.10514i
\(266\) 13.2332 38.7384i 0.811379 2.37520i
\(267\) 12.3498 5.63998i 0.755797 0.345161i
\(268\) −16.4546 + 31.9175i −1.00512 + 1.94967i
\(269\) −3.03742 3.18555i −0.185194 0.194226i 0.624592 0.780951i \(-0.285265\pi\)
−0.809786 + 0.586725i \(0.800417\pi\)
\(270\) −2.91626 + 7.28447i −0.177478 + 0.443319i
\(271\) 1.01360 + 10.6149i 0.0615716 + 0.644807i 0.972603 + 0.232471i \(0.0746809\pi\)
−0.911032 + 0.412336i \(0.864713\pi\)
\(272\) −0.970550 + 6.75032i −0.0588482 + 0.409298i
\(273\) −10.7485 + 4.35333i −0.650532 + 0.263476i
\(274\) −27.6459 + 23.9553i −1.67015 + 1.44719i
\(275\) 19.4683 11.2400i 1.17398 0.677799i
\(276\) 5.27614 20.6867i 0.317586 1.24519i
\(277\) −2.12753 + 3.68499i −0.127831 + 0.221410i −0.922836 0.385193i \(-0.874135\pi\)
0.795005 + 0.606603i \(0.207468\pi\)
\(278\) −44.6202 15.4432i −2.67614 0.926221i
\(279\) −0.657760 + 1.02349i −0.0393791 + 0.0612750i
\(280\) 48.7746 14.5349i 2.91484 0.868629i
\(281\) 10.1087 + 4.61650i 0.603036 + 0.275397i 0.693448 0.720507i \(-0.256091\pi\)
−0.0904114 + 0.995905i \(0.528818\pi\)
\(282\) −15.4871 + 12.1792i −0.922242 + 0.725259i
\(283\) 20.7873 19.8207i 1.23568 1.17822i 0.258451 0.966024i \(-0.416788\pi\)
0.977228 0.212193i \(-0.0680605\pi\)
\(284\) −1.94735 40.8799i −0.115554 2.42578i
\(285\) −15.3287 10.9155i −0.907993 0.646579i
\(286\) −52.8567 + 15.5201i −3.12548 + 0.917724i
\(287\) 7.37940 + 7.67720i 0.435592 + 0.453171i
\(288\) −3.34353 + 3.85864i −0.197020 + 0.227373i
\(289\) −11.5992 11.0598i −0.682305 0.650577i
\(290\) −11.5084 1.09892i −0.675795 0.0645306i
\(291\) −9.39527 + 0.447552i −0.550760 + 0.0262359i
\(292\) −8.59378 + 2.08483i −0.502913 + 0.122005i
\(293\) −3.82661 26.6147i −0.223553 1.55485i −0.724443 0.689335i \(-0.757903\pi\)
0.500890 0.865511i \(-0.333006\pi\)
\(294\) 14.5656 + 10.1965i 0.849485 + 0.594672i
\(295\) 16.3622 + 2.35253i 0.952643 + 0.136969i
\(296\) −66.5358 3.16949i −3.86731 0.184223i
\(297\) −4.85871 + 0.936440i −0.281931 + 0.0543378i
\(298\) −2.55217 1.47350i −0.147843 0.0853574i
\(299\) −4.71594 20.4849i −0.272730 1.18467i
\(300\) 20.2240i 1.16764i
\(301\) 16.7822 12.0526i 0.967307 0.694699i
\(302\) 35.1704 + 22.6027i 2.02383 + 1.30064i
\(303\) −0.260591 + 0.104325i −0.0149706 + 0.00599331i
\(304\) −24.4276 34.3037i −1.40102 1.96745i
\(305\) 9.70528 + 3.88541i 0.555723 + 0.222478i
\(306\) 0.590726 + 2.43501i 0.0337696 + 0.139200i
\(307\) 4.69300 + 7.30246i 0.267844 + 0.416773i 0.948957 0.315405i \(-0.102140\pi\)
−0.681113 + 0.732178i \(0.738504\pi\)
\(308\) 44.1965 + 37.9862i 2.51833 + 2.16447i
\(309\) −0.560929 1.91035i −0.0319101 0.108676i
\(310\) 1.80665 9.37382i 0.102611 0.532397i
\(311\) −3.23731 + 1.12044i −0.183571 + 0.0635346i −0.417307 0.908766i \(-0.637026\pi\)
0.233736 + 0.972300i \(0.424905\pi\)
\(312\) −6.43468 + 26.5241i −0.364292 + 1.50163i
\(313\) −10.8370 + 15.2185i −0.612545 + 0.860199i −0.998044 0.0625092i \(-0.980090\pi\)
0.385500 + 0.922708i \(0.374029\pi\)
\(314\) 4.42846 2.84600i 0.249912 0.160609i
\(315\) 6.40422 5.07818i 0.360837 0.286123i
\(316\) 40.5239 5.82645i 2.27964 0.327763i
\(317\) 14.3493 1.37019i 0.805935 0.0769575i 0.316048 0.948743i \(-0.397644\pi\)
0.489887 + 0.871786i \(0.337038\pi\)
\(318\) 17.7555 + 13.9630i 0.995676 + 0.783009i
\(319\) −3.34063 6.47992i −0.187039 0.362806i
\(320\) −0.866919 + 2.50480i −0.0484622 + 0.140022i
\(321\) 3.17958 0.177467
\(322\) −22.4195 + 23.1531i −1.24939 + 1.29027i
\(323\) −6.00915 −0.334358
\(324\) −1.45596 + 4.20672i −0.0808868 + 0.233707i
\(325\) −9.12474 17.6995i −0.506149 0.981793i
\(326\) 10.4170 + 8.19201i 0.576944 + 0.453714i
\(327\) 18.9041 1.80512i 1.04540 0.0998233i
\(328\) 24.8073 3.56675i 1.36975 0.196941i
\(329\) 20.3019 3.00239i 1.11928 0.165527i
\(330\) 32.6622 20.9907i 1.79800 1.15550i
\(331\) 3.17644 4.46069i 0.174593 0.245181i −0.718002 0.696041i \(-0.754943\pi\)
0.892595 + 0.450860i \(0.148883\pi\)
\(332\) 11.2412 46.3369i 0.616942 2.54307i
\(333\) −10.1089 + 3.49874i −0.553966 + 0.191730i
\(334\) −5.70230 + 29.5863i −0.312016 + 1.61889i
\(335\) −7.02066 23.9102i −0.383579 1.30635i
\(336\) 17.2605 6.05181i 0.941640 0.330153i
\(337\) −14.0533 21.8673i −0.765531 1.19119i −0.976882 0.213779i \(-0.931423\pi\)
0.211351 0.977410i \(-0.432214\pi\)
\(338\) 3.71980 + 15.3332i 0.202331 + 0.834018i
\(339\) 12.7978 + 5.12347i 0.695082 + 0.278269i
\(340\) −7.86890 11.0503i −0.426751 0.599288i
\(341\) 5.58882 2.23743i 0.302651 0.121163i
\(342\) −13.0163 8.36505i −0.703840 0.452330i
\(343\) −7.89638 16.7525i −0.426365 0.904551i
\(344\) 48.6285i 2.62187i
\(345\) 7.25667 + 12.9164i 0.390686 + 0.695395i
\(346\) 51.2315 + 29.5785i 2.75422 + 1.59015i
\(347\) 3.88835 0.749419i 0.208738 0.0402309i −0.0838103 0.996482i \(-0.526709\pi\)
0.292548 + 0.956251i \(0.405497\pi\)
\(348\) −6.55129 0.312076i −0.351186 0.0167291i
\(349\) 15.4178 + 2.21674i 0.825295 + 0.118660i 0.542006 0.840375i \(-0.317665\pi\)
0.283290 + 0.959034i \(0.408574\pi\)
\(350\) −15.1589 + 26.5016i −0.810275 + 1.41657i
\(351\) 0.623784 + 4.33852i 0.0332951 + 0.231573i
\(352\) 24.5516 5.95616i 1.30861 0.317464i
\(353\) −34.9374 + 1.66427i −1.85953 + 0.0885803i −0.947155 0.320777i \(-0.896056\pi\)
−0.912374 + 0.409357i \(0.865753\pi\)
\(354\) 13.5301 + 1.29196i 0.719115 + 0.0686671i
\(355\) 20.5549 + 19.5990i 1.09094 + 1.04021i
\(356\) −39.5782 + 45.6757i −2.09764 + 2.42081i
\(357\) 0.725230 2.50718i 0.0383832 0.132694i
\(358\) 16.1294 4.73603i 0.852468 0.250307i
\(359\) 5.26440 + 3.74877i 0.277845 + 0.197852i 0.710481 0.703716i \(-0.248477\pi\)
−0.432637 + 0.901568i \(0.642417\pi\)
\(360\) −0.915296 19.2144i −0.0482404 1.01269i
\(361\) 13.1046 12.4952i 0.689716 0.657643i
\(362\) −39.4038 + 30.9875i −2.07102 + 1.62867i
\(363\) 12.2655 + 5.60146i 0.643771 + 0.294000i
\(364\) 35.4735 37.5045i 1.85932 1.96577i
\(365\) 3.31776 5.16253i 0.173659 0.270219i
\(366\) 8.12282 + 2.81134i 0.424587 + 0.146951i
\(367\) 10.9869 19.0299i 0.573512 0.993351i −0.422690 0.906274i \(-0.638914\pi\)
0.996202 0.0870770i \(-0.0277526\pi\)
\(368\) 5.89239 + 32.6269i 0.307162 + 1.70080i
\(369\) 3.48561 2.01242i 0.181453 0.104762i
\(370\) 63.4350 54.9667i 3.29783 2.85758i
\(371\) −8.83253 21.8079i −0.458562 1.13221i
\(372\) 0.770763 5.36077i 0.0399622 0.277943i
\(373\) 1.74523 + 18.2769i 0.0903645 + 0.946340i 0.921010 + 0.389538i \(0.127365\pi\)
−0.830646 + 0.556801i \(0.812028\pi\)
\(374\) 4.60795 11.5101i 0.238271 0.595173i
\(375\) −0.973934 1.02143i −0.0502937 0.0527466i
\(376\) 22.1330 42.9320i 1.14142 2.21405i
\(377\) −5.87431 + 2.68271i −0.302543 + 0.138167i
\(378\) 5.06103 4.42119i 0.260311 0.227401i
\(379\) −21.1617 18.3367i −1.08700 0.941895i −0.0884734 0.996079i \(-0.528199\pi\)
−0.998531 + 0.0541838i \(0.982744\pi\)
\(380\) 82.2555 + 15.8535i 4.21962 + 0.813265i
\(381\) −9.92902 2.40875i −0.508679 0.123404i
\(382\) −1.87810 + 19.6683i −0.0960919 + 1.00632i
\(383\) −18.9808 9.78527i −0.969873 0.500004i −0.100917 0.994895i \(-0.532178\pi\)
−0.868955 + 0.494891i \(0.835208\pi\)
\(384\) −3.49089 + 11.8889i −0.178144 + 0.606701i
\(385\) −40.3884 + 2.08685i −2.05838 + 0.106356i
\(386\) 3.95268 8.65515i 0.201186 0.440536i
\(387\) −2.90246 7.24998i −0.147540 0.368537i
\(388\) 37.2164 19.1864i 1.88938 0.974042i
\(389\) −1.46763 7.61480i −0.0744120 0.386086i −0.999972 0.00748501i \(-0.997617\pi\)
0.925560 0.378601i \(-0.123595\pi\)
\(390\) −17.1962 29.7847i −0.870763 1.50821i
\(391\) 4.28009 + 2.01564i 0.216454 + 0.101935i
\(392\) −42.8658 7.90449i −2.16505 0.399237i
\(393\) −2.67167 3.08328i −0.134768 0.155531i
\(394\) 0.505359 10.6088i 0.0254596 0.534463i
\(395\) −17.5626 + 22.3326i −0.883668 + 1.12368i
\(396\) 17.9426 12.7768i 0.901648 0.642061i
\(397\) 8.02746 + 10.2077i 0.402886 + 0.512312i 0.944588 0.328259i \(-0.106462\pi\)
−0.541701 + 0.840571i \(0.682220\pi\)
\(398\) −23.3078 6.84378i −1.16831 0.343048i
\(399\) 7.44269 + 14.2953i 0.372600 + 0.715659i
\(400\) 13.0473 + 28.5696i 0.652364 + 1.42848i
\(401\) −17.5210 + 18.3755i −0.874958 + 0.917630i −0.997193 0.0748715i \(-0.976145\pi\)
0.122235 + 0.992501i \(0.460994\pi\)
\(402\) −6.70140 19.3624i −0.334235 0.965709i
\(403\) −1.74414 5.03936i −0.0868817 0.251028i
\(404\) 0.862284 0.904338i 0.0429002 0.0449925i
\(405\) −1.28330 2.81003i −0.0637676 0.139632i
\(406\) 8.35090 + 5.31944i 0.414448 + 0.263999i
\(407\) 50.7874 + 14.9125i 2.51744 + 0.739187i
\(408\) −3.79717 4.82850i −0.187988 0.239046i
\(409\) −10.8790 + 7.74689i −0.537931 + 0.383059i −0.816490 0.577360i \(-0.804083\pi\)
0.278558 + 0.960419i \(0.410143\pi\)
\(410\) −19.5221 + 24.8243i −0.964126 + 1.22599i
\(411\) 0.685271 14.3856i 0.0338019 0.709590i
\(412\) 5.80406 + 6.69824i 0.285946 + 0.329999i
\(413\) −11.5653 8.16571i −0.569093 0.401808i
\(414\) 6.46513 + 10.3241i 0.317744 + 0.507404i
\(415\) 16.5443 + 28.6556i 0.812128 + 1.40665i
\(416\) −4.23526 21.9746i −0.207651 1.07739i
\(417\) 16.5230 8.51818i 0.809133 0.417137i
\(418\) 28.4544 + 71.0757i 1.39175 + 3.47643i
\(419\) 5.39086 11.8043i 0.263361 0.576680i −0.731042 0.682332i \(-0.760966\pi\)
0.994403 + 0.105652i \(0.0336931\pi\)
\(420\) −16.5417 + 32.4059i −0.807153 + 1.58125i
\(421\) 6.53108 22.2428i 0.318306 1.08405i −0.632577 0.774497i \(-0.718003\pi\)
0.950883 0.309552i \(-0.100179\pi\)
\(422\) −25.6809 13.2394i −1.25012 0.644484i
\(423\) 0.737335 7.72172i 0.0358505 0.375443i
\(424\) −53.8151 13.0554i −2.61349 0.634026i
\(425\) 4.40070 + 0.848165i 0.213465 + 0.0411420i
\(426\) 17.6482 + 15.2923i 0.855059 + 0.740913i
\(427\) −5.89046 6.74294i −0.285059 0.326314i
\(428\) −12.8750 + 5.87981i −0.622336 + 0.284211i
\(429\) 9.93816 19.2773i 0.479819 0.930718i
\(430\) 42.2857 + 44.3480i 2.03920 + 2.13865i
\(431\) 3.52482 8.80457i 0.169785 0.424101i −0.818934 0.573888i \(-0.805434\pi\)
0.988718 + 0.149787i \(0.0478587\pi\)
\(432\) −0.657146 6.88194i −0.0316169 0.331108i
\(433\) 3.82687 26.6165i 0.183908 1.27911i −0.663505 0.748171i \(-0.730932\pi\)
0.847413 0.530934i \(-0.178159\pi\)
\(434\) −5.02816 + 6.44704i −0.241359 + 0.309468i
\(435\) 3.43978 2.98059i 0.164925 0.142908i
\(436\) −73.2097 + 42.2676i −3.50611 + 2.02425i
\(437\) −27.7174 + 9.23058i −1.32590 + 0.441559i
\(438\) 2.52286 4.36971i 0.120547 0.208793i
\(439\) −21.6907 7.50721i −1.03524 0.358300i −0.243980 0.969780i \(-0.578453\pi\)
−0.791259 + 0.611481i \(0.790574\pi\)
\(440\) −51.4600 + 80.0733i −2.45326 + 3.81735i
\(441\) −6.86262 + 1.38003i −0.326791 + 0.0657157i
\(442\) −9.99006 4.56231i −0.475179 0.217007i
\(443\) 30.6409 24.0963i 1.45579 1.14485i 0.494549 0.869150i \(-0.335333\pi\)
0.961244 0.275698i \(-0.0889090\pi\)
\(444\) 34.4639 32.8612i 1.63558 1.55953i
\(445\) −1.99564 41.8937i −0.0946025 1.98595i
\(446\) 41.7053 + 29.6982i 1.97480 + 1.40625i
\(447\) 1.11324 0.326877i 0.0526544 0.0154607i
\(448\) 1.63663 1.57314i 0.0773234 0.0743240i
\(449\) 19.0052 21.9331i 0.896910 1.03509i −0.102277 0.994756i \(-0.532613\pi\)
0.999186 0.0403328i \(-0.0128418\pi\)
\(450\) 8.35155 + 7.96319i 0.393696 + 0.375388i
\(451\) −19.8252 1.89308i −0.933533 0.0891416i
\(452\) −61.2965 + 2.91991i −2.88314 + 0.137341i
\(453\) −15.9956 + 3.88049i −0.751539 + 0.182321i
\(454\) 8.25222 + 57.3955i 0.387296 + 2.69370i
\(455\) 0.144145 + 35.8241i 0.00675764 + 1.67946i
\(456\) 37.5456 + 5.39824i 1.75823 + 0.252796i
\(457\) 31.8972 + 1.51945i 1.49209 + 0.0710769i 0.777684 0.628656i \(-0.216395\pi\)
0.714405 + 0.699733i \(0.246698\pi\)
\(458\) 22.6723 4.36972i 1.05940 0.204184i
\(459\) −0.854312 0.493237i −0.0398759 0.0230223i
\(460\) −53.2698 38.8827i −2.48372 1.81291i
\(461\) 1.09265i 0.0508899i 0.999676 + 0.0254449i \(0.00810025\pi\)
−0.999676 + 0.0254449i \(0.991900\pi\)
\(462\) −33.0888 + 3.29400i −1.53943 + 0.153251i
\(463\) −0.788639 0.506827i −0.0366512 0.0235543i 0.522187 0.852831i \(-0.325116\pi\)
−0.558838 + 0.829277i \(0.688753\pi\)
\(464\) 9.45604 3.78563i 0.438986 0.175743i
\(465\) 2.18009 + 3.06151i 0.101099 + 0.141974i
\(466\) −6.25249 2.50312i −0.289641 0.115955i
\(467\) 3.36316 + 13.8631i 0.155628 + 0.641508i 0.995166 + 0.0982071i \(0.0313108\pi\)
−0.839538 + 0.543301i \(0.817174\pi\)
\(468\) −10.5488 16.4143i −0.487621 0.758753i
\(469\) −3.95473 + 20.9728i −0.182612 + 0.968436i
\(470\) 17.1475 + 58.3989i 0.790954 + 2.69374i
\(471\) −0.392222 + 2.03504i −0.0180726 + 0.0937698i
\(472\) −31.4880 + 10.8981i −1.44935 + 0.501626i
\(473\) −9.11016 + 37.5526i −0.418886 + 1.72667i
\(474\) −13.5502 + 19.0286i −0.622380 + 0.874010i
\(475\) −23.2815 + 14.9621i −1.06823 + 0.686508i
\(476\) 1.69973 + 11.4934i 0.0779071 + 0.526799i
\(477\) −8.80247 + 1.26560i −0.403037 + 0.0579480i
\(478\) −32.5979 + 3.11273i −1.49099 + 0.142373i
\(479\) −14.7879 11.6293i −0.675674 0.531356i 0.220317 0.975428i \(-0.429291\pi\)
−0.895991 + 0.444072i \(0.853533\pi\)
\(480\) 7.22741 + 14.0192i 0.329884 + 0.639887i
\(481\) 15.3354 44.3088i 0.699235 2.02031i
\(482\) 2.88224 0.131282
\(483\) −0.506101 12.6785i −0.0230284 0.576891i
\(484\) −60.0248 −2.72840
\(485\) −9.50353 + 27.4586i −0.431533 + 1.24683i
\(486\) −1.16389 2.25763i −0.0527952 0.102408i
\(487\) −11.6838 9.18821i −0.529442 0.416357i 0.317329 0.948315i \(-0.397214\pi\)
−0.846771 + 0.531958i \(0.821456\pi\)
\(488\) −20.9771 + 2.00307i −0.949589 + 0.0906748i
\(489\) −5.16434 + 0.742520i −0.233540 + 0.0335779i
\(490\) 45.9660 30.0660i 2.07653 1.35824i
\(491\) 10.8703 6.98593i 0.490571 0.315271i −0.271864 0.962336i \(-0.587640\pi\)
0.762435 + 0.647065i \(0.224004\pi\)
\(492\) −10.3927 + 14.5946i −0.468541 + 0.657974i
\(493\) 0.342658 1.41246i 0.0154325 0.0636138i
\(494\) 64.0879 22.1811i 2.88345 0.997973i
\(495\) −2.89285 + 15.0095i −0.130024 + 0.674628i
\(496\) 2.36961 + 8.07016i 0.106399 + 0.362361i
\(497\) −8.04811 22.9542i −0.361007 1.02964i
\(498\) 14.7087 + 22.8872i 0.659112 + 1.02560i
\(499\) −3.20118 13.1954i −0.143304 0.590709i −0.997494 0.0707478i \(-0.977461\pi\)
0.854190 0.519961i \(-0.174054\pi\)
\(500\) 5.83261 + 2.33502i 0.260842 + 0.104425i
\(501\) −6.88097 9.66296i −0.307419 0.431709i
\(502\) 33.9450 13.5895i 1.51504 0.606530i
\(503\) 6.42204 + 4.12720i 0.286345 + 0.184023i 0.675926 0.736969i \(-0.263744\pi\)
−0.389581 + 0.920992i \(0.627380\pi\)
\(504\) −6.78357 + 15.0135i −0.302164 + 0.668756i
\(505\) 0.867132i 0.0385869i
\(506\) 3.57381 60.1690i 0.158875 2.67484i
\(507\) −5.37960 3.10591i −0.238916 0.137938i
\(508\) 44.6597 8.60746i 1.98146 0.381894i
\(509\) 15.6186 + 0.744007i 0.692283 + 0.0329775i 0.390775 0.920486i \(-0.372207\pi\)
0.301508 + 0.953464i \(0.402510\pi\)
\(510\) 7.66162 + 1.10157i 0.339262 + 0.0487785i
\(511\) −4.54105 + 2.64619i −0.200884 + 0.117061i
\(512\) −7.22953 50.2825i −0.319503 2.22219i
\(513\) 5.91984 1.43614i 0.261367 0.0634070i
\(514\) 7.63222 0.363567i 0.336643 0.0160363i
\(515\) −6.12274 0.584651i −0.269800 0.0257628i
\(516\) 25.1598 + 23.9899i 1.10760 + 1.05609i
\(517\) −25.1348 + 29.0071i −1.10543 + 1.27573i
\(518\) −69.7925 + 17.2291i −3.06651 + 0.757004i
\(519\) −22.3468 + 6.56163i −0.980918 + 0.288023i
\(520\) 68.6809 + 48.9074i 3.01186 + 2.14473i
\(521\) −1.76642 37.0818i −0.0773884 1.62458i −0.620002 0.784600i \(-0.712868\pi\)
0.542614 0.839982i \(-0.317435\pi\)
\(522\) 2.70843 2.58249i 0.118545 0.113032i
\(523\) 10.2436 8.05565i 0.447921 0.352249i −0.368577 0.929597i \(-0.620155\pi\)
0.816498 + 0.577348i \(0.195912\pi\)
\(524\) 16.5201 + 7.54447i 0.721683 + 0.329582i
\(525\) −3.43281 11.5194i −0.149820 0.502748i
\(526\) −37.3062 + 58.0495i −1.62663 + 2.53108i
\(527\) 1.13417 + 0.392539i 0.0494050 + 0.0170992i
\(528\) −17.1038 + 29.6247i −0.744348 + 1.28925i
\(529\) 22.8383 + 2.72262i 0.992969 + 0.118375i
\(530\) 60.4305 34.8896i 2.62493 1.51551i
\(531\) −4.04405 + 3.50419i −0.175497 + 0.152069i
\(532\) −56.5730 44.1222i −2.45275 1.91294i
\(533\) −2.51063 + 17.4618i −0.108747 + 0.756355i
\(534\) −3.27799 34.3286i −0.141852 1.48554i
\(535\) 3.65059 9.11874i 0.157829 0.394238i
\(536\) 34.6632 + 36.3537i 1.49722 + 1.57024i
\(537\) −3.03267 + 5.88257i −0.130870 + 0.253851i
\(538\) −10.1696 + 4.64430i −0.438442 + 0.200230i
\(539\) 31.6216 + 14.1347i 1.36204 + 0.608824i
\(540\) 10.3929 + 9.00547i 0.447238 + 0.387534i
\(541\) −1.04543 0.201491i −0.0449467 0.00866277i 0.166728 0.986003i \(-0.446680\pi\)
−0.211675 + 0.977340i \(0.567892\pi\)
\(542\) 26.3208 + 6.38536i 1.13058 + 0.274275i
\(543\) 1.87600 19.6464i 0.0805070 0.843108i
\(544\) 4.47676 + 2.30793i 0.191939 + 0.0989517i
\(545\) 16.5276 56.2877i 0.707963 2.41110i
\(546\) 1.51992 + 29.4162i 0.0650466 + 1.25890i
\(547\) −17.8046 + 38.9866i −0.761269 + 1.66695i −0.0162832 + 0.999867i \(0.505183\pi\)
−0.744986 + 0.667080i \(0.767544\pi\)
\(548\) 23.8276 + 59.5186i 1.01787 + 2.54251i
\(549\) −3.00790 + 1.55068i −0.128374 + 0.0661815i
\(550\) −10.8061 56.0673i −0.460773 2.39072i
\(551\) 4.48750 + 7.77258i 0.191174 + 0.331123i
\(552\) −24.9316 16.4388i −1.06116 0.699683i
\(553\) 22.0930 10.1972i 0.939489 0.433627i
\(554\) 7.07761 + 8.16800i 0.300699 + 0.347025i
\(555\) −1.57239 + 33.0086i −0.0667443 + 1.40114i
\(556\) −51.1539 + 65.0475i −2.16941 + 2.75863i
\(557\) 14.8945 10.6063i 0.631100 0.449404i −0.219216 0.975676i \(-0.570350\pi\)
0.850316 + 0.526272i \(0.176411\pi\)
\(558\) 1.91025 + 2.42908i 0.0808675 + 0.102831i
\(559\) 32.8430 + 9.64358i 1.38911 + 0.407880i
\(560\) 2.46144 56.4500i 0.104015 2.38545i
\(561\) 2.02773 + 4.44010i 0.0856106 + 0.187461i
\(562\) 19.4788 20.4288i 0.821663 0.861735i
\(563\) −3.95848 11.4373i −0.166830 0.482023i 0.830336 0.557264i \(-0.188149\pi\)
−0.997165 + 0.0752405i \(0.976028\pi\)
\(564\) 11.2937 + 32.6309i 0.475549 + 1.37401i
\(565\) 29.3873 30.8206i 1.23633 1.29663i
\(566\) −30.3064 66.3617i −1.27387 2.78939i
\(567\) −0.115255 + 2.64324i −0.00484027 + 0.111006i
\(568\) −54.9296 16.1288i −2.30480 0.676749i
\(569\) 4.01793 + 5.10921i 0.168440 + 0.214189i 0.862944 0.505300i \(-0.168618\pi\)
−0.694503 + 0.719490i \(0.744376\pi\)
\(570\) −38.9347 + 27.7253i −1.63080 + 1.16128i
\(571\) −26.7051 + 33.9584i −1.11758 + 1.42111i −0.222649 + 0.974899i \(0.571470\pi\)
−0.894926 + 0.446214i \(0.852772\pi\)
\(572\) −4.59388 + 96.4374i −0.192080 + 4.03225i
\(573\) −5.09396 5.87874i −0.212803 0.245588i
\(574\) 24.5580 11.3349i 1.02503 0.473109i
\(575\) 21.6012 2.84767i 0.900834 0.118756i
\(576\) −0.429007 0.743062i −0.0178753 0.0309609i
\(577\) 3.34555 + 17.3584i 0.139277 + 0.722638i 0.982673 + 0.185346i \(0.0593405\pi\)
−0.843396 + 0.537292i \(0.819447\pi\)
\(578\) −36.1828 + 18.6535i −1.50501 + 0.775885i
\(579\) 1.39228 + 3.47774i 0.0578610 + 0.144530i
\(580\) −8.41680 + 18.4302i −0.349488 + 0.765273i
\(581\) −1.46230 28.3011i −0.0606665 1.17413i
\(582\) −6.73086 + 22.9232i −0.279003 + 0.950197i
\(583\) 39.1120 + 20.1636i 1.61985 + 0.835093i
\(584\) −1.17583 + 12.3138i −0.0486561 + 0.509550i
\(585\) 13.1587 + 3.19226i 0.544044 + 0.131984i
\(586\) −67.0620 12.9251i −2.77031 0.533933i
\(587\) −12.2415 10.6073i −0.505260 0.437810i 0.364560 0.931180i \(-0.381219\pi\)
−0.869820 + 0.493370i \(0.835765\pi\)
\(588\) 25.2366 18.2788i 1.04074 0.753804i
\(589\) −6.74143 + 3.07871i −0.277776 + 0.126856i
\(590\) 19.2396 37.3197i 0.792083 1.53643i
\(591\) 2.88552 + 3.02625i 0.118695 + 0.124483i
\(592\) −27.4855 + 68.6555i −1.12965 + 2.82172i
\(593\) 2.07946 + 21.7771i 0.0853932 + 0.894278i 0.932096 + 0.362212i \(0.117978\pi\)
−0.846703 + 0.532066i \(0.821416\pi\)
\(594\) −1.78864 + 12.4403i −0.0733889 + 0.510431i
\(595\) −6.35771 4.95849i −0.260641 0.203278i
\(596\) −3.90334 + 3.38227i −0.159887 + 0.138543i
\(597\) 8.28242 4.78186i 0.338977 0.195708i
\(598\) −53.0876 5.69820i −2.17091 0.233017i
\(599\) 5.71284 9.89494i 0.233420 0.404296i −0.725392 0.688336i \(-0.758341\pi\)
0.958812 + 0.284040i \(0.0916748\pi\)
\(600\) −26.7339 9.25269i −1.09141 0.377740i
\(601\) 4.62510 7.19679i 0.188662 0.293563i −0.734019 0.679129i \(-0.762357\pi\)
0.922680 + 0.385566i \(0.125994\pi\)
\(602\) −14.9880 50.2948i −0.610864 2.04986i
\(603\) 7.33771 + 3.35102i 0.298815 + 0.136464i
\(604\) 57.5947 45.2930i 2.34349 1.84294i
\(605\) 30.1470 28.7451i 1.22565 1.16865i
\(606\) 0.0339245 + 0.712164i 0.00137809 + 0.0289297i
\(607\) 21.2987 + 15.1668i 0.864489 + 0.615600i 0.923900 0.382634i \(-0.124983\pi\)
−0.0594113 + 0.998234i \(0.518922\pi\)
\(608\) −29.8419 + 8.76236i −1.21025 + 0.355361i
\(609\) −3.78452 + 0.934254i −0.153356 + 0.0378579i
\(610\) 17.3888 20.0677i 0.704051 0.812519i
\(611\) 24.6064 + 23.4622i 0.995469 + 0.949178i
\(612\) 4.37146 + 0.417424i 0.176706 + 0.0168734i
\(613\) −9.70241 + 0.462183i −0.391877 + 0.0186674i −0.242596 0.970127i \(-0.577999\pi\)
−0.149281 + 0.988795i \(0.547696\pi\)
\(614\) 21.4268 5.19807i 0.864713 0.209777i
\(615\) −1.76947 12.3069i −0.0713520 0.496264i
\(616\) 70.4339 41.0438i 2.83786 1.65370i
\(617\) 6.09204 + 0.875903i 0.245256 + 0.0352625i 0.263847 0.964565i \(-0.415009\pi\)
−0.0185904 + 0.999827i \(0.505918\pi\)
\(618\) −5.05139 0.240627i −0.203197 0.00967946i
\(619\) 11.4353 2.20397i 0.459623 0.0885851i 0.0458164 0.998950i \(-0.485411\pi\)
0.413807 + 0.910365i \(0.364199\pi\)
\(620\) −14.4893 8.36539i −0.581903 0.335962i
\(621\) −4.69820 0.962776i −0.188532 0.0386349i
\(622\) 8.70131i 0.348891i
\(623\) −14.7904 + 32.7343i −0.592564 + 1.31147i
\(624\) 25.4914 + 16.3823i 1.02047 + 0.655817i
\(625\) −25.1361 + 10.0630i −1.00544 + 0.402519i
\(626\) 27.5259 + 38.6548i 1.10016 + 1.54496i
\(627\) −27.9827 11.2026i −1.11752 0.447387i
\(628\) −2.17507 8.96577i −0.0867948 0.357773i
\(629\) 5.70516 + 8.87740i 0.227480 + 0.353965i
\(630\) −6.86881 19.5907i −0.273660 0.780513i
\(631\) 6.80378 + 23.1716i 0.270854 + 0.922445i 0.976795 + 0.214175i \(0.0687061\pi\)
−0.705941 + 0.708271i \(0.749476\pi\)
\(632\) 10.8381 56.2336i 0.431118 2.23685i
\(633\) 10.7495 3.72044i 0.427254 0.147874i
\(634\) 8.63180 35.5808i 0.342813 1.41309i
\(635\) −18.3080 + 25.7100i −0.726530 + 1.02027i
\(636\) 33.3032 21.4027i 1.32056 0.848672i
\(637\) 13.8394 27.3834i 0.548335 1.08497i
\(638\) −18.3289 + 2.63530i −0.725650 + 0.104333i
\(639\) −9.15207 + 0.873917i −0.362050 + 0.0345716i
\(640\) 30.0882 + 23.6616i 1.18934 + 0.935308i
\(641\) 5.51760 + 10.7027i 0.217932 + 0.422729i 0.972305 0.233717i \(-0.0750890\pi\)
−0.754372 + 0.656447i \(0.772059\pi\)
\(642\) 2.64143 7.63192i 0.104249 0.301208i
\(643\) 5.22804 0.206174 0.103087 0.994672i \(-0.467128\pi\)
0.103087 + 0.994672i \(0.467128\pi\)
\(644\) 25.4949 + 50.4028i 1.00464 + 1.98615i
\(645\) −24.1247 −0.949910
\(646\) −4.99210 + 14.4237i −0.196412 + 0.567494i
\(647\) 18.4251 + 35.7397i 0.724366 + 1.40507i 0.906674 + 0.421833i \(0.138613\pi\)
−0.182307 + 0.983242i \(0.558357\pi\)
\(648\) 4.89470 + 3.84923i 0.192282 + 0.151212i
\(649\) 26.3578 2.51686i 1.03463 0.0987955i
\(650\) −50.0644 + 7.19818i −1.96369 + 0.282336i
\(651\) −0.470914 3.18427i −0.0184566 0.124801i
\(652\) 19.5388 12.5568i 0.765197 0.491762i
\(653\) −1.67235 + 2.34849i −0.0654442 + 0.0919035i −0.846001 0.533181i \(-0.820996\pi\)
0.780557 + 0.625085i \(0.214936\pi\)
\(654\) 11.3717 46.8749i 0.444670 1.83295i
\(655\) −11.9100 + 4.12210i −0.465363 + 0.161064i
\(656\) 5.26585 27.3218i 0.205597 1.06674i
\(657\) 0.559664 + 1.90604i 0.0218346 + 0.0743617i
\(658\) 9.65915 51.2247i 0.376553 1.99695i
\(659\) 22.9343 + 35.6864i 0.893393 + 1.39015i 0.920596 + 0.390516i \(0.127703\pi\)
−0.0272036 + 0.999630i \(0.508660\pi\)
\(660\) −16.0423 66.1273i −0.624446 2.57400i
\(661\) −6.68704 2.67709i −0.260096 0.104127i 0.237950 0.971277i \(-0.423525\pi\)
−0.498046 + 0.867151i \(0.665949\pi\)
\(662\) −8.06813 11.3301i −0.313577 0.440357i
\(663\) 4.01412 1.60701i 0.155895 0.0624111i
\(664\) −56.1092 36.0592i −2.17746 1.39937i
\(665\) 49.5428 4.93201i 1.92119 0.191255i
\(666\) 27.1710i 1.05285i
\(667\) −0.589133 7.04135i −0.0228113 0.272642i
\(668\) 45.7321 + 26.4035i 1.76943 + 1.02158i
\(669\) −19.7928 + 3.81475i −0.765234 + 0.147487i
\(670\) −63.2238 3.01172i −2.44255 0.116353i
\(671\) 16.5745 + 2.38305i 0.639852 + 0.0919968i
\(672\) −0.0543535 13.5083i −0.00209673 0.521096i
\(673\) 0.528445 + 3.67541i 0.0203700 + 0.141677i 0.997468 0.0711115i \(-0.0226546\pi\)
−0.977098 + 0.212788i \(0.931746\pi\)
\(674\) −64.1628 + 15.5657i −2.47146 + 0.599569i
\(675\) −4.53799 + 0.216171i −0.174667 + 0.00832043i
\(676\) 27.5271 + 2.62852i 1.05873 + 0.101097i
\(677\) −17.7155 16.8917i −0.680863 0.649202i 0.268537 0.963269i \(-0.413460\pi\)
−0.949401 + 0.314067i \(0.898308\pi\)
\(678\) 22.9296 26.4622i 0.880607 1.01627i
\(679\) 17.9414 17.2454i 0.688528 0.661820i
\(680\) −18.2074 + 5.34617i −0.698221 + 0.205016i
\(681\) −18.5960 13.2422i −0.712601 0.507441i
\(682\) −0.727569 15.2735i −0.0278600 0.584854i
\(683\) −16.9326 + 16.1452i −0.647906 + 0.617777i −0.941040 0.338294i \(-0.890150\pi\)
0.293134 + 0.956071i \(0.405302\pi\)
\(684\) −21.3153 + 16.7625i −0.815011 + 0.640931i
\(685\) −40.4699 18.4820i −1.54627 0.706160i
\(686\) −46.7709 + 5.03649i −1.78572 + 0.192294i
\(687\) −4.91464 + 7.64732i −0.187505 + 0.291764i
\(688\) −51.0189 17.6578i −1.94508 0.673198i
\(689\) 19.4896 33.7569i 0.742493 1.28604i
\(690\) 37.0316 6.68786i 1.40977 0.254603i
\(691\) −36.8984 + 21.3033i −1.40368 + 0.810415i −0.994768 0.102159i \(-0.967425\pi\)
−0.408912 + 0.912574i \(0.634092\pi\)
\(692\) 78.3546 67.8946i 2.97859 2.58097i
\(693\) 8.05117 10.3231i 0.305839 0.392143i
\(694\) 1.43142 9.95577i 0.0543361 0.377916i
\(695\) −5.45874 57.1665i −0.207062 2.16845i
\(696\) −3.40981 + 8.51729i −0.129248 + 0.322847i
\(697\) −2.73989 2.87351i −0.103781 0.108842i
\(698\) 18.1292 35.1657i 0.686199 1.33104i
\(699\) 2.41194 1.10150i 0.0912280 0.0416624i
\(700\) 35.2026 + 40.2972i 1.33053 + 1.52309i
\(701\) 11.4187 + 9.89440i 0.431280 + 0.373706i 0.843277 0.537479i \(-0.180623\pi\)
−0.411997 + 0.911185i \(0.635169\pi\)
\(702\) 10.9319 + 2.10696i 0.412599 + 0.0795219i
\(703\) −63.3261 15.3627i −2.38839 0.579417i
\(704\) −0.403567 + 4.22635i −0.0152100 + 0.159286i
\(705\) −21.2987 10.9802i −0.802154 0.413539i
\(706\) −25.0295 + 85.2426i −0.941997 + 3.20815i
\(707\) 0.337647 0.661464i 0.0126985 0.0248769i
\(708\) 9.89538 21.6679i 0.371891 0.814328i
\(709\) 8.35121 + 20.8603i 0.313636 + 0.783426i 0.998500 + 0.0547545i \(0.0174376\pi\)
−0.684863 + 0.728671i \(0.740138\pi\)
\(710\) 64.1194 33.0559i 2.40636 1.24056i
\(711\) −1.74053 9.03071i −0.0652748 0.338678i
\(712\) 42.2707 + 73.2150i 1.58416 + 2.74385i
\(713\) 5.83435 + 0.0684204i 0.218498 + 0.00256236i
\(714\) −5.41549 3.82361i −0.202670 0.143095i
\(715\) −43.8753 50.6348i −1.64084 1.89363i
\(716\) 1.40184 29.4283i 0.0523893 1.09979i
\(717\) 7.96946 10.1340i 0.297625 0.378461i
\(718\) 13.3715 9.52183i 0.499022 0.355352i
\(719\) 7.29814 + 9.28034i 0.272175 + 0.346098i 0.902856 0.429944i \(-0.141467\pi\)
−0.630681 + 0.776042i \(0.717224\pi\)
\(720\) −20.4913 6.01679i −0.763665 0.224232i
\(721\) 4.44288 + 2.83007i 0.165462 + 0.105397i
\(722\) −19.1055 41.8353i −0.711035 1.55695i
\(723\) −0.783063 + 0.821253i −0.0291224 + 0.0305427i
\(724\) 28.7345 + 83.0230i 1.06791 + 3.08552i
\(725\) −2.18928 6.32551i −0.0813078 0.234923i
\(726\) 23.6347 24.7874i 0.877166 0.919945i
\(727\) 7.66490 + 16.7838i 0.284275 + 0.622476i 0.996866 0.0791035i \(-0.0252058\pi\)
−0.712591 + 0.701580i \(0.752478\pi\)
\(728\) −33.3473 64.0507i −1.23593 2.37388i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −9.63537 12.2524i −0.356621 0.453480i
\(731\) −6.27529 + 4.46862i −0.232100 + 0.165278i
\(732\) 9.31225 11.8415i 0.344191 0.437674i
\(733\) −0.166969 + 3.50510i −0.00616712 + 0.129464i 0.993684 + 0.112214i \(0.0357942\pi\)
−0.999851 + 0.0172500i \(0.994509\pi\)
\(734\) −36.5499 42.1809i −1.34908 1.55692i
\(735\) −3.92144 + 21.2658i −0.144644 + 0.784402i
\(736\) 24.1944 + 3.76871i 0.891817 + 0.138917i
\(737\) −19.9575 34.5674i −0.735144 1.27331i
\(738\) −1.93472 10.0383i −0.0712182 0.369515i
\(739\) −30.7868 + 15.8717i −1.13251 + 0.583850i −0.919457 0.393190i \(-0.871371\pi\)
−0.213054 + 0.977040i \(0.568341\pi\)
\(740\) −54.6738 136.569i −2.00985 5.02036i
\(741\) −11.0916 + 24.2872i −0.407460 + 0.892213i
\(742\) −59.6829 + 3.08378i −2.19103 + 0.113209i
\(743\) −0.336701 + 1.14670i −0.0123524 + 0.0420683i −0.965439 0.260631i \(-0.916070\pi\)
0.953086 + 0.302699i \(0.0978877\pi\)
\(744\) −6.73371 3.47147i −0.246870 0.127270i
\(745\) 0.340700 3.56797i 0.0124823 0.130720i
\(746\) 45.3197 + 10.9944i 1.65927 + 0.402535i
\(747\) −10.5175 2.02708i −0.384816 0.0741671i
\(748\) −16.4216 14.2294i −0.600435 0.520280i
\(749\) −6.33543 + 5.53447i −0.231491 + 0.202225i
\(750\) −3.26083 + 1.48917i −0.119069 + 0.0543769i
\(751\) 24.5485 47.6174i 0.895787 1.73758i 0.260199 0.965555i \(-0.416212\pi\)
0.635587 0.772029i \(-0.280758\pi\)
\(752\) −37.0055 38.8102i −1.34945 1.41526i
\(753\) −5.35022 + 13.3642i −0.194973 + 0.487019i
\(754\) 1.55921 + 16.3287i 0.0567829 + 0.594658i
\(755\) −7.23626 + 50.3293i −0.263355 + 1.83167i
\(756\) −4.42129 10.9163i −0.160801 0.397024i
\(757\) −34.0506 + 29.5050i −1.23759 + 1.07238i −0.242838 + 0.970067i \(0.578078\pi\)
−0.994752 + 0.102311i \(0.967376\pi\)
\(758\) −61.5936 + 35.5611i −2.23718 + 1.29164i
\(759\) 16.1733 + 17.3654i 0.587055 + 0.630322i
\(760\) 58.5892 101.479i 2.12525 3.68105i
\(761\) −4.41101 1.52667i −0.159899 0.0553416i 0.245946 0.969284i \(-0.420901\pi\)
−0.405845 + 0.913942i \(0.633023\pi\)
\(762\) −14.0303 + 21.8315i −0.508262 + 0.790872i
\(763\) −34.5250 + 36.5017i −1.24989 + 1.32145i
\(764\) 31.4981 + 14.3847i 1.13956 + 0.520420i
\(765\) −2.39543 + 1.88379i −0.0866069 + 0.0681084i
\(766\) −39.2558 + 37.4303i −1.41837 + 1.35241i
\(767\) −1.11600 23.4278i −0.0402965 0.845927i
\(768\) 24.2389 + 17.2604i 0.874646 + 0.622832i
\(769\) −12.9216 + 3.79413i −0.465965 + 0.136820i −0.506283 0.862367i \(-0.668981\pi\)
0.0403182 + 0.999187i \(0.487163\pi\)
\(770\) −28.5436 + 98.6777i −1.02864 + 3.55610i
\(771\) −1.96997 + 2.27347i −0.0709468 + 0.0818769i
\(772\) −12.0689