Properties

Label 507.2.t.b.4.2
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.2
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.53957 - 0.102341i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(4.44542 + 0.358871i) q^{4} +(1.66050 + 0.629744i) q^{5} +(0.804853 - 2.41083i) q^{6} +(-2.05060 - 4.81293i) q^{7} +(-6.20652 - 0.753608i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(-2.53957 - 0.102341i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(4.44542 + 0.358871i) q^{4} +(1.66050 + 0.629744i) q^{5} +(0.804853 - 2.41083i) q^{6} +(-2.05060 - 4.81293i) q^{7} +(-6.20652 - 0.753608i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(-4.15250 - 1.76922i) q^{10} +(0.626521 + 0.990764i) q^{11} +(-1.58150 + 4.17006i) q^{12} +(-3.48167 + 0.936989i) q^{13} +(4.71507 + 12.4326i) q^{14} +(-1.06686 + 1.41973i) q^{15} +(6.88051 + 1.11819i) q^{16} +(-4.86253 + 2.07173i) q^{17} +(2.09172 + 1.44381i) q^{18} +(0.350140 - 0.202153i) q^{19} +(7.15562 + 3.39538i) q^{20} +(5.19341 - 0.630595i) q^{21} +(-1.48970 - 2.58023i) q^{22} +(-1.21725 + 2.10834i) q^{23} +(2.45062 - 5.75181i) q^{24} +(-1.38187 - 1.22423i) q^{25} +(8.93784 - 2.02323i) q^{26} +(0.748511 - 0.663123i) q^{27} +(-7.38854 - 22.1314i) q^{28} +(-0.322649 + 8.00644i) q^{29} +(2.85466 - 3.49633i) q^{30} +(3.37219 + 3.80642i) q^{31} +(-5.10758 - 1.04272i) q^{32} +(-1.12596 + 0.326137i) q^{33} +(12.5607 - 4.76366i) q^{34} +(-0.374101 - 9.28321i) q^{35} +(-3.56542 - 2.67924i) q^{36} +(1.51475 - 0.309239i) q^{37} +(-0.909892 + 0.477548i) q^{38} +(0.0686671 - 3.60490i) q^{39} +(-9.83135 - 5.15989i) q^{40} +(-9.64780 - 2.79452i) q^{41} +(-13.2536 + 1.06994i) q^{42} +(-1.80773 + 8.85483i) q^{43} +(2.42959 + 4.62920i) q^{44} +(-1.06686 - 1.41973i) q^{45} +(3.30706 - 5.22969i) q^{46} +(-7.01712 + 4.84357i) q^{47} +(-2.98832 + 6.29776i) q^{48} +(-14.1102 + 14.6903i) q^{49} +(3.38407 + 3.25045i) q^{50} +(-0.637093 - 5.24694i) q^{51} +(-15.8138 + 2.91584i) q^{52} +(0.532237 - 4.38337i) q^{53} +(-1.96876 + 1.60744i) q^{54} +(0.416410 + 2.03971i) q^{55} +(9.10001 + 31.4169i) q^{56} +(0.0967569 + 0.392558i) q^{57} +(1.63878 - 20.2999i) q^{58} +(0.739825 + 4.55233i) q^{59} +(-5.25215 + 5.92845i) q^{60} +(-0.780993 + 0.586878i) q^{61} +(-8.17435 - 10.0118i) q^{62} +(-0.839201 + 5.16381i) q^{63} +(-0.672112 - 0.165661i) q^{64} +(-6.37138 - 0.636694i) q^{65} +(2.89282 - 0.713016i) q^{66} +(-0.245240 - 3.03785i) q^{67} +(-22.3595 + 7.46468i) q^{68} +(-1.68644 - 1.75577i) q^{69} +23.6136i q^{70} +(5.05686 - 4.85718i) q^{71} +(4.84291 + 3.95412i) q^{72} +(1.42000 - 2.70559i) q^{73} +(-3.87846 + 0.630311i) q^{74} +(1.56036 - 0.986712i) q^{75} +(1.62906 - 0.773001i) q^{76} +(3.48373 - 5.04706i) q^{77} +(-0.543314 + 9.14786i) q^{78} +(-6.95552 - 10.0768i) q^{79} +(10.7209 + 6.18972i) q^{80} +(0.428693 + 0.903450i) q^{81} +(24.2153 + 8.08424i) q^{82} +(2.33385 - 9.46882i) q^{83} +(23.3132 - 0.939490i) q^{84} +(-9.37888 + 0.377956i) q^{85} +(5.49706 - 22.3024i) q^{86} +(-7.60056 - 2.53744i) q^{87} +(-3.14187 - 6.62135i) q^{88} +(-14.6742 - 8.47216i) q^{89} +(2.56407 + 3.71469i) q^{90} +(11.6492 + 14.8356i) q^{91} +(-6.16781 + 8.93561i) q^{92} +(-4.59433 + 2.18004i) q^{93} +(18.3161 - 11.5824i) q^{94} +(0.708711 - 0.115177i) q^{95} +(2.42257 - 4.61582i) q^{96} +(10.9636 + 8.95154i) q^{97} +(37.3373 - 35.8630i) q^{98} -1.17224i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.53957 0.102341i −1.79575 0.0723661i −0.880206 0.474592i \(-0.842596\pi\)
−0.915540 + 0.402226i \(0.868237\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) 4.44542 + 0.358871i 2.22271 + 0.179436i
\(5\) 1.66050 + 0.629744i 0.742598 + 0.281630i 0.696746 0.717318i \(-0.254631\pi\)
0.0458519 + 0.998948i \(0.485400\pi\)
\(6\) 0.804853 2.41083i 0.328580 0.984217i
\(7\) −2.05060 4.81293i −0.775052 1.81911i −0.525611 0.850725i \(-0.676163\pi\)
−0.249441 0.968390i \(-0.580247\pi\)
\(8\) −6.20652 0.753608i −2.19434 0.266441i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) −4.15250 1.76922i −1.31314 0.559475i
\(11\) 0.626521 + 0.990764i 0.188903 + 0.298727i 0.926339 0.376690i \(-0.122938\pi\)
−0.737436 + 0.675417i \(0.763964\pi\)
\(12\) −1.58150 + 4.17006i −0.456539 + 1.20379i
\(13\) −3.48167 + 0.936989i −0.965643 + 0.259874i
\(14\) 4.71507 + 12.4326i 1.26016 + 3.32276i
\(15\) −1.06686 + 1.41973i −0.275462 + 0.366574i
\(16\) 6.88051 + 1.11819i 1.72013 + 0.279548i
\(17\) −4.86253 + 2.07173i −1.17934 + 0.502468i −0.890532 0.454920i \(-0.849668\pi\)
−0.288804 + 0.957388i \(0.593258\pi\)
\(18\) 2.09172 + 1.44381i 0.493023 + 0.340309i
\(19\) 0.350140 0.202153i 0.0803275 0.0463771i −0.459298 0.888282i \(-0.651899\pi\)
0.539626 + 0.841905i \(0.318566\pi\)
\(20\) 7.15562 + 3.39538i 1.60005 + 0.759231i
\(21\) 5.19341 0.630595i 1.13330 0.137607i
\(22\) −1.48970 2.58023i −0.317605 0.550107i
\(23\) −1.21725 + 2.10834i −0.253814 + 0.439619i −0.964573 0.263817i \(-0.915018\pi\)
0.710759 + 0.703436i \(0.248352\pi\)
\(24\) 2.45062 5.75181i 0.500230 1.17408i
\(25\) −1.38187 1.22423i −0.276375 0.244847i
\(26\) 8.93784 2.02323i 1.75285 0.396788i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) −7.38854 22.1314i −1.39630 4.18244i
\(29\) −0.322649 + 8.00644i −0.0599143 + 1.48676i 0.637700 + 0.770285i \(0.279886\pi\)
−0.697614 + 0.716474i \(0.745755\pi\)
\(30\) 2.85466 3.49633i 0.521188 0.638339i
\(31\) 3.37219 + 3.80642i 0.605663 + 0.683652i 0.968732 0.248110i \(-0.0798094\pi\)
−0.363069 + 0.931762i \(0.618271\pi\)
\(32\) −5.10758 1.04272i −0.902901 0.184329i
\(33\) −1.12596 + 0.326137i −0.196004 + 0.0567732i
\(34\) 12.5607 4.76366i 2.15415 0.816961i
\(35\) −0.374101 9.28321i −0.0632345 1.56915i
\(36\) −3.56542 2.67924i −0.594237 0.446540i
\(37\) 1.51475 0.309239i 0.249023 0.0508385i −0.0738923 0.997266i \(-0.523542\pi\)
0.322916 + 0.946428i \(0.395337\pi\)
\(38\) −0.909892 + 0.477548i −0.147604 + 0.0774686i
\(39\) 0.0686671 3.60490i 0.0109955 0.577246i
\(40\) −9.83135 5.15989i −1.55447 0.815850i
\(41\) −9.64780 2.79452i −1.50673 0.436431i −0.580777 0.814062i \(-0.697251\pi\)
−0.925956 + 0.377632i \(0.876739\pi\)
\(42\) −13.2536 + 1.06994i −2.04507 + 0.165095i
\(43\) −1.80773 + 8.85483i −0.275676 + 1.35035i 0.572183 + 0.820126i \(0.306097\pi\)
−0.847858 + 0.530223i \(0.822108\pi\)
\(44\) 2.42959 + 4.62920i 0.366275 + 0.697879i
\(45\) −1.06686 1.41973i −0.159038 0.211641i
\(46\) 3.30706 5.22969i 0.487599 0.771076i
\(47\) −7.01712 + 4.84357i −1.02355 + 0.706507i −0.956646 0.291253i \(-0.905928\pi\)
−0.0669054 + 0.997759i \(0.521313\pi\)
\(48\) −2.98832 + 6.29776i −0.431327 + 0.909003i
\(49\) −14.1102 + 14.6903i −2.01575 + 2.09862i
\(50\) 3.38407 + 3.25045i 0.478580 + 0.459683i
\(51\) −0.637093 5.24694i −0.0892109 0.734718i
\(52\) −15.8138 + 2.91584i −2.19297 + 0.404354i
\(53\) 0.532237 4.38337i 0.0731084 0.602102i −0.909405 0.415911i \(-0.863463\pi\)
0.982514 0.186191i \(-0.0596142\pi\)
\(54\) −1.96876 + 1.60744i −0.267914 + 0.218745i
\(55\) 0.416410 + 2.03971i 0.0561487 + 0.275035i
\(56\) 9.10001 + 31.4169i 1.21604 + 4.19826i
\(57\) 0.0967569 + 0.392558i 0.0128158 + 0.0519956i
\(58\) 1.63878 20.2999i 0.215182 2.66551i
\(59\) 0.739825 + 4.55233i 0.0963170 + 0.592662i 0.989676 + 0.143320i \(0.0457777\pi\)
−0.893359 + 0.449343i \(0.851658\pi\)
\(60\) −5.25215 + 5.92845i −0.678049 + 0.765359i
\(61\) −0.780993 + 0.586878i −0.0999959 + 0.0751420i −0.649564 0.760307i \(-0.725049\pi\)
0.549568 + 0.835449i \(0.314792\pi\)
\(62\) −8.17435 10.0118i −1.03814 1.27150i
\(63\) −0.839201 + 5.16381i −0.105729 + 0.650579i
\(64\) −0.672112 0.165661i −0.0840140 0.0207076i
\(65\) −6.37138 0.636694i −0.790272 0.0789722i
\(66\) 2.89282 0.713016i 0.356082 0.0877662i
\(67\) −0.245240 3.03785i −0.0299609 0.371132i −0.994312 0.106506i \(-0.966034\pi\)
0.964351 0.264626i \(-0.0852485\pi\)
\(68\) −22.3595 + 7.46468i −2.71148 + 0.905226i
\(69\) −1.68644 1.75577i −0.203023 0.211369i
\(70\) 23.6136i 2.82237i
\(71\) 5.05686 4.85718i 0.600139 0.576441i −0.329848 0.944034i \(-0.606997\pi\)
0.929987 + 0.367593i \(0.119818\pi\)
\(72\) 4.84291 + 3.95412i 0.570743 + 0.465997i
\(73\) 1.42000 2.70559i 0.166199 0.316665i −0.788086 0.615566i \(-0.788928\pi\)
0.954284 + 0.298901i \(0.0966199\pi\)
\(74\) −3.87846 + 0.630311i −0.450862 + 0.0732722i
\(75\) 1.56036 0.986712i 0.180175 0.113936i
\(76\) 1.62906 0.773001i 0.186867 0.0886693i
\(77\) 3.48373 5.04706i 0.397008 0.575166i
\(78\) −0.543314 + 9.14786i −0.0615182 + 1.03579i
\(79\) −6.95552 10.0768i −0.782557 1.13373i −0.987908 0.155041i \(-0.950449\pi\)
0.205351 0.978688i \(-0.434166\pi\)
\(80\) 10.7209 + 6.18972i 1.19863 + 0.692032i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) 24.2153 + 8.08424i 2.67413 + 0.892755i
\(83\) 2.33385 9.46882i 0.256174 1.03934i −0.692079 0.721822i \(-0.743305\pi\)
0.948253 0.317516i \(-0.102849\pi\)
\(84\) 23.3132 0.939490i 2.54368 0.102507i
\(85\) −9.37888 + 0.377956i −1.01728 + 0.0409951i
\(86\) 5.49706 22.3024i 0.592763 2.40493i
\(87\) −7.60056 2.53744i −0.814866 0.272042i
\(88\) −3.14187 6.62135i −0.334925 0.705839i
\(89\) −14.6742 8.47216i −1.55546 0.898047i −0.997681 0.0680590i \(-0.978319\pi\)
−0.557781 0.829988i \(-0.688347\pi\)
\(90\) 2.56407 + 3.71469i 0.270277 + 0.391563i
\(91\) 11.6492 + 14.8356i 1.22116 + 1.55520i
\(92\) −6.16781 + 8.93561i −0.643038 + 0.931602i
\(93\) −4.59433 + 2.18004i −0.476410 + 0.226059i
\(94\) 18.3161 11.5824i 1.88917 1.19464i
\(95\) 0.708711 0.115177i 0.0727123 0.0118169i
\(96\) 2.42257 4.61582i 0.247252 0.471100i
\(97\) 10.9636 + 8.95154i 1.11319 + 0.908891i 0.996443 0.0842709i \(-0.0268561\pi\)
0.116746 + 0.993162i \(0.462754\pi\)
\(98\) 37.3373 35.8630i 3.77164 3.62271i
\(99\) 1.17224i 0.117814i
\(100\) −5.70367 5.93815i −0.570367 0.593815i
\(101\) −4.35824 + 1.45499i −0.433661 + 0.144777i −0.525114 0.851032i \(-0.675977\pi\)
0.0914526 + 0.995809i \(0.470849\pi\)
\(102\) 1.08097 + 13.3902i 0.107031 + 1.32582i
\(103\) 4.91209 1.21072i 0.484002 0.119296i 0.0102380 0.999948i \(-0.496741\pi\)
0.473764 + 0.880652i \(0.342895\pi\)
\(104\) 22.3152 3.19163i 2.18819 0.312965i
\(105\) 9.02077 + 2.22342i 0.880337 + 0.216984i
\(106\) −1.80025 + 11.0774i −0.174856 + 1.07593i
\(107\) −3.89438 4.76975i −0.376484 0.461109i 0.551256 0.834336i \(-0.314149\pi\)
−0.927740 + 0.373227i \(0.878251\pi\)
\(108\) 3.56542 2.67924i 0.343083 0.257810i
\(109\) −3.77271 + 4.25850i −0.361360 + 0.407891i −0.900871 0.434088i \(-0.857071\pi\)
0.539511 + 0.841979i \(0.318609\pi\)
\(110\) −0.848756 5.22260i −0.0809257 0.497956i
\(111\) −0.124401 + 1.54098i −0.0118076 + 0.146263i
\(112\) −8.72738 35.4084i −0.824659 3.34578i
\(113\) 3.09153 + 10.6732i 0.290827 + 1.00405i 0.964294 + 0.264834i \(0.0853172\pi\)
−0.673467 + 0.739217i \(0.735196\pi\)
\(114\) −0.205546 1.00683i −0.0192511 0.0942983i
\(115\) −3.34896 + 2.73434i −0.312292 + 0.254978i
\(116\) −4.30759 + 35.4762i −0.399950 + 3.29388i
\(117\) 3.44346 + 1.06890i 0.318348 + 0.0988200i
\(118\) −1.41295 11.6367i −0.130072 1.07124i
\(119\) 19.9422 + 19.1547i 1.82809 + 1.75591i
\(120\) 7.69142 8.00762i 0.702127 0.730992i
\(121\) 4.12653 8.69648i 0.375139 0.790590i
\(122\) 2.04345 1.41049i 0.185005 0.127700i
\(123\) 5.36837 8.48940i 0.484050 0.765464i
\(124\) 13.6248 + 18.1313i 1.22354 + 1.62824i
\(125\) −5.65017 10.7655i −0.505366 0.962895i
\(126\) 2.65968 13.0280i 0.236943 1.16062i
\(127\) −2.62934 + 0.212262i −0.233316 + 0.0188352i −0.196572 0.980489i \(-0.562981\pi\)
−0.0367446 + 0.999325i \(0.511699\pi\)
\(128\) 11.7041 + 3.39015i 1.03451 + 0.299650i
\(129\) −8.00228 4.19992i −0.704562 0.369783i
\(130\) 16.1154 + 2.26898i 1.41341 + 0.199003i
\(131\) −0.0652387 + 0.0342399i −0.00569993 + 0.00299155i −0.467571 0.883956i \(-0.654871\pi\)
0.461871 + 0.886947i \(0.347178\pi\)
\(132\) −5.12239 + 1.04574i −0.445847 + 0.0910203i
\(133\) −1.69094 1.27066i −0.146623 0.110180i
\(134\) 0.311908 + 7.73992i 0.0269448 + 0.668627i
\(135\) 1.66050 0.629744i 0.142913 0.0541998i
\(136\) 31.7407 9.19380i 2.72174 0.788361i
\(137\) −20.6449 4.21468i −1.76381 0.360085i −0.794756 0.606928i \(-0.792401\pi\)
−0.969055 + 0.246844i \(0.920607\pi\)
\(138\) 4.10313 + 4.63148i 0.349282 + 0.394258i
\(139\) 8.09968 9.92031i 0.687006 0.841430i −0.306890 0.951745i \(-0.599289\pi\)
0.993897 + 0.110315i \(0.0351860\pi\)
\(140\) 1.66844 41.4020i 0.141009 3.49911i
\(141\) −2.70005 8.08763i −0.227385 0.681101i
\(142\) −13.3393 + 11.8176i −1.11941 + 0.991713i
\(143\) −3.10968 2.86247i −0.260044 0.239372i
\(144\) −5.21771 4.62248i −0.434809 0.385207i
\(145\) −5.57777 + 13.0915i −0.463208 + 1.08719i
\(146\) −3.88308 + 6.72570i −0.321366 + 0.556623i
\(147\) −10.1846 17.6402i −0.840012 1.45494i
\(148\) 6.84468 0.831094i 0.562629 0.0683155i
\(149\) −2.61955 1.24299i −0.214602 0.101830i 0.318357 0.947971i \(-0.396869\pi\)
−0.532959 + 0.846141i \(0.678920\pi\)
\(150\) −4.06362 + 2.34613i −0.331793 + 0.191561i
\(151\) 3.23450 + 2.23261i 0.263220 + 0.181687i 0.692364 0.721549i \(-0.256569\pi\)
−0.429144 + 0.903236i \(0.641185\pi\)
\(152\) −2.32549 + 0.990801i −0.188623 + 0.0803645i
\(153\) 5.21703 + 0.847850i 0.421772 + 0.0685446i
\(154\) −9.36370 + 12.4608i −0.754548 + 1.00412i
\(155\) 3.20245 + 8.44417i 0.257227 + 0.678252i
\(156\) 1.59895 16.0006i 0.128018 1.28108i
\(157\) −6.58668 + 17.3676i −0.525674 + 1.38609i 0.364814 + 0.931081i \(0.381133\pi\)
−0.890488 + 0.455008i \(0.849637\pi\)
\(158\) 16.6327 + 26.3026i 1.32323 + 2.09252i
\(159\) 4.06223 + 1.73075i 0.322156 + 0.137258i
\(160\) −7.82449 4.94790i −0.618580 0.391166i
\(161\) 12.6434 + 1.53518i 0.996436 + 0.120989i
\(162\) −0.996234 2.33825i −0.0782715 0.183710i
\(163\) 3.66640 10.9822i 0.287174 0.860192i −0.701835 0.712339i \(-0.747636\pi\)
0.989009 0.147852i \(-0.0472361\pi\)
\(164\) −41.8857 15.8851i −3.27072 1.24042i
\(165\) −2.07503 0.167514i −0.161541 0.0130409i
\(166\) −6.89603 + 23.8079i −0.535236 + 1.84785i
\(167\) 5.34187 + 0.215270i 0.413366 + 0.0166581i 0.246078 0.969250i \(-0.420858\pi\)
0.167288 + 0.985908i \(0.446499\pi\)
\(168\) −32.7083 −2.52350
\(169\) 11.2441 6.52458i 0.864931 0.501891i
\(170\) 23.8570 1.82975
\(171\) −0.403979 0.0162798i −0.0308930 0.00124495i
\(172\) −11.2138 + 38.7147i −0.855048 + 2.95197i
\(173\) −3.06641 0.247546i −0.233135 0.0188206i −0.0366531 0.999328i \(-0.511670\pi\)
−0.196482 + 0.980507i \(0.562952\pi\)
\(174\) 19.0425 + 7.22186i 1.44361 + 0.547487i
\(175\) −3.05848 + 9.16126i −0.231199 + 0.692527i
\(176\) 3.20292 + 7.51754i 0.241429 + 0.566656i
\(177\) −4.57842 0.555921i −0.344135 0.0417856i
\(178\) 36.3991 + 23.0174i 2.72823 + 1.72523i
\(179\) 11.3880 + 4.85196i 0.851177 + 0.362653i 0.773092 0.634294i \(-0.218709\pi\)
0.0780853 + 0.996947i \(0.475119\pi\)
\(180\) −4.23314 6.69418i −0.315520 0.498955i
\(181\) 8.45756 22.3008i 0.628646 1.65760i −0.118510 0.992953i \(-0.537812\pi\)
0.747155 0.664649i \(-0.231419\pi\)
\(182\) −28.0656 38.8683i −2.08036 2.88111i
\(183\) −0.346421 0.913437i −0.0256082 0.0675232i
\(184\) 9.14375 12.1681i 0.674086 0.897046i
\(185\) 2.70998 + 0.440415i 0.199242 + 0.0323800i
\(186\) 11.8907 5.06617i 0.871871 0.371469i
\(187\) −5.09907 3.51964i −0.372881 0.257381i
\(188\) −32.9322 + 19.0134i −2.40183 + 1.38670i
\(189\) −4.72645 2.24273i −0.343799 0.163135i
\(190\) −1.81161 + 0.219969i −0.131428 + 0.0159582i
\(191\) 13.5823 + 23.5253i 0.982782 + 1.70223i 0.651405 + 0.758730i \(0.274180\pi\)
0.331377 + 0.943499i \(0.392487\pi\)
\(192\) 0.346114 0.599486i 0.0249786 0.0432642i
\(193\) 0.415889 0.976128i 0.0299364 0.0702633i −0.904340 0.426812i \(-0.859636\pi\)
0.934277 + 0.356549i \(0.116047\pi\)
\(194\) −26.9268 23.8551i −1.93323 1.71269i
\(195\) 2.38419 5.94269i 0.170735 0.425565i
\(196\) −67.9979 + 60.2409i −4.85699 + 4.30292i
\(197\) −3.41110 10.2175i −0.243031 0.727967i −0.997436 0.0715583i \(-0.977203\pi\)
0.754405 0.656409i \(-0.227925\pi\)
\(198\) −0.119968 + 2.97698i −0.00852577 + 0.211565i
\(199\) −13.4068 + 16.4203i −0.950382 + 1.16401i 0.0359699 + 0.999353i \(0.488548\pi\)
−0.986352 + 0.164653i \(0.947349\pi\)
\(200\) 7.65404 + 8.63963i 0.541222 + 0.610914i
\(201\) 2.98614 + 0.609624i 0.210626 + 0.0429996i
\(202\) 11.2170 3.24903i 0.789222 0.228601i
\(203\) 39.1960 14.8651i 2.75102 1.04332i
\(204\) −0.949172 23.5535i −0.0664554 1.64907i
\(205\) −14.2603 10.7159i −0.995985 0.748434i
\(206\) −12.5985 + 2.57200i −0.877778 + 0.179200i
\(207\) 2.15564 1.13137i 0.149827 0.0786355i
\(208\) −25.0034 + 2.55379i −1.73368 + 0.177073i
\(209\) 0.419656 + 0.220253i 0.0290282 + 0.0152352i
\(210\) −22.6813 6.56973i −1.56516 0.453354i
\(211\) 12.7738 1.03121i 0.879387 0.0709915i 0.367479 0.930032i \(-0.380221\pi\)
0.511908 + 0.859040i \(0.328939\pi\)
\(212\) 3.93908 19.2949i 0.270537 1.32518i
\(213\) 3.25850 + 6.20856i 0.223269 + 0.425404i
\(214\) 9.40190 + 12.5117i 0.642701 + 0.855279i
\(215\) −8.57801 + 13.5650i −0.585015 + 0.925128i
\(216\) −5.14538 + 3.55160i −0.350099 + 0.241656i
\(217\) 11.4050 24.0355i 0.774222 1.63164i
\(218\) 10.0169 10.4287i 0.678428 0.706318i
\(219\) 2.20370 + 2.11668i 0.148912 + 0.143032i
\(220\) 1.11912 + 9.21681i 0.0754513 + 0.621397i
\(221\) 14.9885 11.7692i 1.00824 0.791683i
\(222\) 0.473630 3.90069i 0.0317880 0.261798i
\(223\) −10.3271 + 8.43183i −0.691555 + 0.564637i −0.911713 0.410827i \(-0.865240\pi\)
0.220159 + 0.975464i \(0.429343\pi\)
\(224\) 5.45505 + 26.7206i 0.364481 + 1.78535i
\(225\) 0.513635 + 1.77327i 0.0342423 + 0.118218i
\(226\) −6.75886 27.4218i −0.449592 1.82407i
\(227\) −0.175912 + 2.17907i −0.0116757 + 0.144630i −0.999968 0.00793969i \(-0.997473\pi\)
0.988293 + 0.152569i \(0.0487547\pi\)
\(228\) 0.289247 + 1.77981i 0.0191559 + 0.117871i
\(229\) −16.9919 + 19.1799i −1.12286 + 1.26744i −0.163099 + 0.986610i \(0.552149\pi\)
−0.959757 + 0.280833i \(0.909389\pi\)
\(230\) 8.78474 6.60130i 0.579248 0.435277i
\(231\) 3.87856 + 4.75037i 0.255190 + 0.312551i
\(232\) 8.03625 49.4490i 0.527605 3.24649i
\(233\) 6.66334 + 1.64236i 0.436530 + 0.107595i 0.451455 0.892294i \(-0.350905\pi\)
−0.0149257 + 0.999889i \(0.504751\pi\)
\(234\) −8.63552 3.06696i −0.564522 0.200493i
\(235\) −14.7021 + 3.62375i −0.959061 + 0.236387i
\(236\) 1.65513 + 20.5025i 0.107740 + 1.33460i
\(237\) 11.6141 3.87736i 0.754417 0.251861i
\(238\) −48.6842 50.6856i −3.15573 3.28546i
\(239\) 4.50035i 0.291103i 0.989351 + 0.145552i \(0.0464957\pi\)
−0.989351 + 0.145552i \(0.953504\pi\)
\(240\) −8.92808 + 8.57554i −0.576305 + 0.553549i
\(241\) 5.79343 + 4.73019i 0.373187 + 0.304698i 0.800415 0.599446i \(-0.204612\pi\)
−0.427228 + 0.904144i \(0.640510\pi\)
\(242\) −11.3696 + 21.6630i −0.730867 + 1.39255i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) −3.68245 + 2.32864i −0.235745 + 0.149076i
\(245\) −32.6812 + 15.5074i −2.08792 + 0.990732i
\(246\) −14.5022 + 21.0100i −0.924624 + 1.33955i
\(247\) −1.02966 + 1.03191i −0.0655155 + 0.0656588i
\(248\) −18.0610 26.1659i −1.14688 1.66154i
\(249\) 8.44565 + 4.87610i 0.535222 + 0.309010i
\(250\) 13.2472 + 27.9179i 0.837828 + 1.76569i
\(251\) 3.50352 + 1.16965i 0.221140 + 0.0738275i 0.425079 0.905156i \(-0.360246\pi\)
−0.203939 + 0.978984i \(0.565374\pi\)
\(252\) −5.58374 + 22.6541i −0.351743 + 1.42708i
\(253\) −2.85150 + 0.114911i −0.179272 + 0.00722442i
\(254\) 6.69911 0.269965i 0.420340 0.0169391i
\(255\) 2.24634 9.11374i 0.140671 0.570725i
\(256\) −28.0633 9.36892i −1.75396 0.585557i
\(257\) −5.21982 11.0005i −0.325604 0.686195i 0.672965 0.739674i \(-0.265020\pi\)
−0.998569 + 0.0534789i \(0.982969\pi\)
\(258\) 19.8925 + 11.4850i 1.23845 + 0.715022i
\(259\) −4.59448 6.65626i −0.285487 0.413600i
\(260\) −28.0950 5.11688i −1.74238 0.317335i
\(261\) 4.55187 6.59452i 0.281754 0.408190i
\(262\) 0.169182 0.0802779i 0.0104521 0.00495959i
\(263\) −8.19110 + 5.17974i −0.505085 + 0.319396i −0.762592 0.646880i \(-0.776073\pi\)
0.257507 + 0.966276i \(0.417099\pi\)
\(264\) 7.23405 1.17565i 0.445225 0.0723561i
\(265\) 3.64418 6.94341i 0.223860 0.426530i
\(266\) 4.16423 + 3.39999i 0.255325 + 0.208466i
\(267\) 12.2203 11.7377i 0.747869 0.718338i
\(268\) 13.5925i 0.830295i
\(269\) 3.87878 + 4.03823i 0.236493 + 0.246215i 0.828864 0.559450i \(-0.188988\pi\)
−0.592371 + 0.805665i \(0.701808\pi\)
\(270\) −4.28140 + 1.42934i −0.260558 + 0.0869869i
\(271\) −1.55402 19.2500i −0.0943999 1.16935i −0.854466 0.519507i \(-0.826116\pi\)
0.760066 0.649845i \(-0.225166\pi\)
\(272\) −35.7733 + 8.81732i −2.16907 + 0.534628i
\(273\) −17.4909 + 7.06170i −1.05860 + 0.427393i
\(274\) 51.9978 + 12.8163i 3.14130 + 0.774261i
\(275\) 0.347153 2.13612i 0.0209341 0.128813i
\(276\) −6.86682 8.41033i −0.413334 0.506243i
\(277\) −1.10520 + 0.830501i −0.0664048 + 0.0499000i −0.633426 0.773803i \(-0.718352\pi\)
0.567022 + 0.823703i \(0.308096\pi\)
\(278\) −21.5850 + 24.3644i −1.29458 + 1.46128i
\(279\) −0.815742 5.01946i −0.0488372 0.300507i
\(280\) −4.67404 + 57.8984i −0.279327 + 3.46009i
\(281\) −4.88128 19.8041i −0.291193 1.18142i −0.916175 0.400777i \(-0.868740\pi\)
0.624983 0.780639i \(-0.285106\pi\)
\(282\) 6.02926 + 20.8154i 0.359037 + 1.23954i
\(283\) 2.40647 + 11.7877i 0.143050 + 0.700704i 0.986535 + 0.163551i \(0.0522949\pi\)
−0.843485 + 0.537153i \(0.819500\pi\)
\(284\) 24.2230 19.7774i 1.43737 1.17358i
\(285\) −0.0865465 + 0.712774i −0.00512657 + 0.0422211i
\(286\) 7.60429 + 7.58770i 0.449651 + 0.448670i
\(287\) 6.33393 + 52.1646i 0.373880 + 3.07918i
\(288\) 3.75958 + 3.61112i 0.221535 + 0.212787i
\(289\) 7.57579 7.88724i 0.445635 0.463955i
\(290\) 15.5049 32.6759i 0.910480 1.91880i
\(291\) −11.6484 + 8.04030i −0.682841 + 0.471331i
\(292\) 7.28346 11.5179i 0.426232 0.674033i
\(293\) 11.6884 + 15.5544i 0.682843 + 0.908699i 0.999202 0.0399408i \(-0.0127169\pi\)
−0.316359 + 0.948639i \(0.602461\pi\)
\(294\) 24.0592 + 45.8409i 1.40316 + 2.67350i
\(295\) −1.63832 + 8.02504i −0.0953868 + 0.467236i
\(296\) −9.63438 + 0.777768i −0.559987 + 0.0452068i
\(297\) 1.12596 + 0.326137i 0.0653346 + 0.0189244i
\(298\) 6.52533 + 3.42476i 0.378002 + 0.198391i
\(299\) 2.26257 8.48109i 0.130848 0.490474i
\(300\) 7.29056 3.82638i 0.420921 0.220916i
\(301\) 46.3246 9.45723i 2.67010 0.545105i
\(302\) −7.98574 6.00090i −0.459528 0.345313i
\(303\) −0.185010 4.59097i −0.0106285 0.263744i
\(304\) 2.63519 0.999394i 0.151138 0.0573192i
\(305\) −1.66642 + 0.482685i −0.0954190 + 0.0276384i
\(306\) −13.1622 2.68709i −0.752435 0.153611i
\(307\) −10.9814 12.3955i −0.626743 0.707447i 0.346286 0.938129i \(-0.387443\pi\)
−0.973029 + 0.230682i \(0.925904\pi\)
\(308\) 17.2979 21.1861i 0.985639 1.20719i
\(309\) −0.203709 + 5.05499i −0.0115886 + 0.287568i
\(310\) −7.26866 21.7723i −0.412832 1.23658i
\(311\) −6.87699 + 6.09248i −0.389958 + 0.345473i −0.835209 0.549933i \(-0.814653\pi\)
0.445250 + 0.895406i \(0.353115\pi\)
\(312\) −3.14287 + 22.3221i −0.177930 + 1.26374i
\(313\) −10.6567 9.44101i −0.602352 0.533637i 0.305898 0.952064i \(-0.401043\pi\)
−0.908251 + 0.418427i \(0.862582\pi\)
\(314\) 18.5047 43.4322i 1.04428 2.45102i
\(315\) −4.64537 + 8.04602i −0.261737 + 0.453342i
\(316\) −27.3039 47.2918i −1.53597 2.66037i
\(317\) 15.7516 1.91260i 0.884700 0.107422i 0.334442 0.942416i \(-0.391452\pi\)
0.550258 + 0.834994i \(0.314529\pi\)
\(318\) −10.1392 4.81110i −0.568577 0.269793i
\(319\) −8.13464 + 4.69654i −0.455452 + 0.262956i
\(320\) −1.01172 0.698338i −0.0565567 0.0390383i
\(321\) 5.66491 2.41359i 0.316185 0.134714i
\(322\) −31.9516 5.19263i −1.78059 0.289374i
\(323\) −1.28376 + 1.70837i −0.0714301 + 0.0950563i
\(324\) 1.58150 + 4.17006i 0.0878609 + 0.231670i
\(325\) 5.95833 + 2.96758i 0.330509 + 0.164612i
\(326\) −10.4350 + 27.5148i −0.577941 + 1.52390i
\(327\) −3.04074 4.80854i −0.168153 0.265913i
\(328\) 57.7733 + 24.6149i 3.19000 + 1.35913i
\(329\) 37.7010 + 23.8407i 2.07852 + 1.31438i
\(330\) 5.25254 + 0.637774i 0.289143 + 0.0351083i
\(331\) 3.58111 + 8.40518i 0.196836 + 0.461991i 0.988925 0.148414i \(-0.0474169\pi\)
−0.792089 + 0.610405i \(0.791007\pi\)
\(332\) 13.7731 41.2553i 0.755894 2.26418i
\(333\) −1.44553 0.548217i −0.0792145 0.0300421i
\(334\) −13.5440 1.09338i −0.741095 0.0598274i
\(335\) 1.50585 5.19878i 0.0822731 0.284040i
\(336\) 36.4385 + 1.46842i 1.98788 + 0.0801089i
\(337\) −25.8153 −1.40625 −0.703125 0.711066i \(-0.748212\pi\)
−0.703125 + 0.711066i \(0.748212\pi\)
\(338\) −29.2229 + 15.4189i −1.58952 + 0.838677i
\(339\) −11.1119 −0.603518
\(340\) −41.8287 1.68564i −2.26848 0.0914166i
\(341\) −1.65851 + 5.72585i −0.0898134 + 0.310072i
\(342\) 1.02427 + 0.0826872i 0.0553859 + 0.00447121i
\(343\) 65.3967 + 24.8017i 3.53109 + 1.33916i
\(344\) 17.8928 53.5954i 0.964714 2.88967i
\(345\) −1.69464 3.97747i −0.0912365 0.214140i
\(346\) 7.76203 + 0.942481i 0.417289 + 0.0506681i
\(347\) −6.78785 4.29238i −0.364391 0.230427i 0.339704 0.940532i \(-0.389673\pi\)
−0.704096 + 0.710105i \(0.748647\pi\)
\(348\) −32.8771 14.0076i −1.76240 0.750887i
\(349\) −13.3525 21.1153i −0.714744 1.13028i −0.985834 0.167724i \(-0.946358\pi\)
0.271090 0.962554i \(-0.412616\pi\)
\(350\) 8.70479 22.9527i 0.465291 1.22687i
\(351\) −1.98473 + 3.01012i −0.105937 + 0.160668i
\(352\) −2.16692 5.71369i −0.115497 0.304541i
\(353\) −7.70961 + 10.2596i −0.410341 + 0.546065i −0.956544 0.291588i \(-0.905816\pi\)
0.546203 + 0.837653i \(0.316073\pi\)
\(354\) 11.5703 + 1.88036i 0.614956 + 0.0999401i
\(355\) 11.4557 4.88082i 0.608005 0.259047i
\(356\) −62.1926 42.9284i −3.29620 2.27520i
\(357\) −23.9467 + 13.8256i −1.26739 + 0.731730i
\(358\) −28.4240 13.4873i −1.50225 0.712829i
\(359\) −8.32666 + 1.01104i −0.439465 + 0.0533607i −0.337279 0.941405i \(-0.609507\pi\)
−0.102185 + 0.994765i \(0.532584\pi\)
\(360\) 5.55157 + 9.61561i 0.292594 + 0.506787i
\(361\) −9.41827 + 16.3129i −0.495698 + 0.858575i
\(362\) −23.7608 + 55.7687i −1.24884 + 2.93114i
\(363\) 7.20506 + 6.38312i 0.378167 + 0.335027i
\(364\) 46.4613 + 70.1312i 2.43524 + 3.67588i
\(365\) 4.06174 3.59839i 0.212601 0.188348i
\(366\) 0.786278 + 2.35519i 0.0410994 + 0.123108i
\(367\) 0.799662 19.8434i 0.0417420 1.03582i −0.833617 0.552344i \(-0.813734\pi\)
0.875359 0.483474i \(-0.160625\pi\)
\(368\) −10.7328 + 13.1453i −0.559487 + 0.685247i
\(369\) 6.66065 + 7.51832i 0.346740 + 0.391388i
\(370\) −6.83712 1.39581i −0.355445 0.0725646i
\(371\) −22.1882 + 6.42690i −1.15196 + 0.333668i
\(372\) −21.2061 + 8.04241i −1.09948 + 0.416980i
\(373\) 0.630520 + 15.6462i 0.0326471 + 0.810129i 0.929725 + 0.368256i \(0.120045\pi\)
−0.897077 + 0.441873i \(0.854314\pi\)
\(374\) 12.5892 + 9.46020i 0.650974 + 0.489175i
\(375\) 11.9124 2.43194i 0.615155 0.125585i
\(376\) 47.2021 24.7735i 2.43426 1.27760i
\(377\) −6.37859 28.1781i −0.328514 1.45125i
\(378\) 11.7736 + 6.17928i 0.605570 + 0.317828i
\(379\) 22.3133 + 6.46314i 1.14616 + 0.331989i 0.796353 0.604833i \(-0.206760\pi\)
0.349807 + 0.936822i \(0.386247\pi\)
\(380\) 3.19185 0.257673i 0.163739 0.0132183i
\(381\) 0.527647 2.58458i 0.0270322 0.132412i
\(382\) −32.0856 61.1341i −1.64164 3.12789i
\(383\) −18.4430 24.5432i −0.942392 1.25410i −0.967099 0.254402i \(-0.918121\pi\)
0.0247062 0.999695i \(-0.492135\pi\)
\(384\) −6.51260 + 10.2988i −0.332345 + 0.525561i
\(385\) 8.96309 6.18678i 0.456801 0.315307i
\(386\) −1.15608 + 2.43638i −0.0588428 + 0.124009i
\(387\) 6.26048 6.51785i 0.318238 0.331321i
\(388\) 45.5255 + 43.7279i 2.31121 + 2.21995i
\(389\) −0.929114 7.65194i −0.0471079 0.387969i −0.997125 0.0757715i \(-0.975858\pi\)
0.950017 0.312197i \(-0.101065\pi\)
\(390\) −6.66298 + 14.8479i −0.337393 + 0.751851i
\(391\) 1.55100 12.7737i 0.0784376 0.645992i
\(392\) 98.6463 80.5422i 4.98239 4.06800i
\(393\) −0.0147375 0.0721890i −0.000743408 0.00364146i
\(394\) 7.61706 + 26.2972i 0.383742 + 1.32483i
\(395\) −5.20382 21.1127i −0.261833 1.06230i
\(396\) 0.420683 5.21109i 0.0211401 0.261867i
\(397\) 2.68984 + 16.5512i 0.134999 + 0.830683i 0.962910 + 0.269823i \(0.0869652\pi\)
−0.827911 + 0.560860i \(0.810471\pi\)
\(398\) 35.7279 40.3285i 1.79088 2.02148i
\(399\) 1.69094 1.27066i 0.0846531 0.0636126i
\(400\) −8.13907 9.96855i −0.406954 0.498428i
\(401\) 4.26151 26.2221i 0.212810 1.30947i −0.632235 0.774776i \(-0.717862\pi\)
0.845045 0.534695i \(-0.179573\pi\)
\(402\) −7.52111 1.85379i −0.375119 0.0924585i
\(403\) −15.3074 10.0930i −0.762518 0.502768i
\(404\) −19.8964 + 4.90401i −0.989881 + 0.243984i
\(405\) 0.142901 + 1.77015i 0.00710080 + 0.0879592i
\(406\) −101.062 + 33.7396i −5.01564 + 1.67447i
\(407\) 1.25541 + 1.30702i 0.0622282 + 0.0647864i
\(408\) 33.0454i 1.63599i
\(409\) −10.2287 + 9.82484i −0.505779 + 0.485807i −0.901630 0.432507i \(-0.857629\pi\)
0.395852 + 0.918314i \(0.370449\pi\)
\(410\) 35.1184 + 28.6733i 1.73437 + 1.41607i
\(411\) 9.79205 18.6572i 0.483006 0.920291i
\(412\) 22.2708 3.61935i 1.09720 0.178313i
\(413\) 20.3929 12.8957i 1.00347 0.634556i
\(414\) −5.59018 + 2.65258i −0.274743 + 0.130367i
\(415\) 9.83830 14.2532i 0.482943 0.699664i
\(416\) 18.7599 1.15534i 0.919782 0.0566451i
\(417\) 7.27517 + 10.5399i 0.356266 + 0.516141i
\(418\) −1.04320 0.602295i −0.0510248 0.0294592i
\(419\) −2.91256 6.13809i −0.142288 0.299866i 0.819778 0.572681i \(-0.194097\pi\)
−0.962066 + 0.272815i \(0.912045\pi\)
\(420\) 39.3032 + 13.1213i 1.91780 + 0.640256i
\(421\) 8.09789 32.8544i 0.394667 1.60123i −0.351980 0.936008i \(-0.614491\pi\)
0.746647 0.665220i \(-0.231662\pi\)
\(422\) −32.5456 + 1.31154i −1.58429 + 0.0638448i
\(423\) 8.51952 0.343325i 0.414233 0.0166930i
\(424\) −6.60669 + 26.8044i −0.320849 + 1.30174i
\(425\) 9.25568 + 3.09000i 0.448966 + 0.149887i
\(426\) −7.63980 16.1005i −0.370150 0.780074i
\(427\) 4.42610 + 2.55541i 0.214194 + 0.123665i
\(428\) −15.6004 22.6011i −0.754075 1.09247i
\(429\) 3.61462 2.19051i 0.174516 0.105759i
\(430\) 23.1727 33.5714i 1.11749 1.61896i
\(431\) −32.6959 + 15.5144i −1.57490 + 0.747302i −0.997601 0.0692278i \(-0.977946\pi\)
−0.577304 + 0.816529i \(0.695895\pi\)
\(432\) 5.89164 3.72564i 0.283461 0.179250i
\(433\) 26.5445 4.31390i 1.27565 0.207313i 0.515402 0.856949i \(-0.327643\pi\)
0.760246 + 0.649636i \(0.225079\pi\)
\(434\) −31.4236 + 59.8726i −1.50838 + 2.87398i
\(435\) −11.0228 8.99983i −0.528502 0.431509i
\(436\) −18.2995 + 17.5769i −0.876388 + 0.841782i
\(437\) 0.984283i 0.0470847i
\(438\) −5.37982 5.60098i −0.257058 0.267625i
\(439\) 35.3622 11.8056i 1.68775 0.563453i 0.699274 0.714853i \(-0.253507\pi\)
0.988472 + 0.151401i \(0.0483783\pi\)
\(440\) −1.04732 12.9733i −0.0499288 0.618479i
\(441\) 19.7773 4.87467i 0.941776 0.232127i
\(442\) −39.2689 + 28.3548i −1.86783 + 1.34870i
\(443\) 10.1476 + 2.50117i 0.482129 + 0.118834i 0.472887 0.881123i \(-0.343212\pi\)
0.00924189 + 0.999957i \(0.497058\pi\)
\(444\) −1.10603 + 6.80566i −0.0524898 + 0.322982i
\(445\) −19.0312 23.3090i −0.902166 1.10495i
\(446\) 27.0893 20.3563i 1.28272 0.963899i
\(447\) 1.92272 2.17031i 0.0909417 0.102652i
\(448\) 0.580918 + 3.57453i 0.0274458 + 0.168881i
\(449\) −0.344381 + 4.26593i −0.0162524 + 0.201321i 0.983535 + 0.180716i \(0.0578415\pi\)
−0.999788 + 0.0206056i \(0.993441\pi\)
\(450\) −1.12293 4.55592i −0.0529356 0.214768i
\(451\) −3.27584 11.3095i −0.154253 0.532545i
\(452\) 9.91286 + 48.5564i 0.466262 + 2.28390i
\(453\) −3.04436 + 2.48564i −0.143036 + 0.116786i
\(454\) 0.669749 5.51588i 0.0314329 0.258873i
\(455\) 10.0008 + 31.9706i 0.468843 + 1.49880i
\(456\) −0.304689 2.50934i −0.0142684 0.117511i
\(457\) 16.9026 + 16.2352i 0.790671 + 0.759450i 0.974711 0.223469i \(-0.0717382\pi\)
−0.184040 + 0.982919i \(0.558918\pi\)
\(458\) 45.1150 46.9697i 2.10808 2.19475i
\(459\) −2.26584 + 4.77516i −0.105761 + 0.222886i
\(460\) −15.8688 + 10.9534i −0.739886 + 0.510706i
\(461\) −19.7039 + 31.1591i −0.917700 + 1.45123i −0.0254541 + 0.999676i \(0.508103\pi\)
−0.892246 + 0.451550i \(0.850871\pi\)
\(462\) −9.36370 12.4608i −0.435639 0.579730i
\(463\) −0.880507 1.67767i −0.0409206 0.0779678i 0.864137 0.503256i \(-0.167865\pi\)
−0.905058 + 0.425289i \(0.860173\pi\)
\(464\) −11.1727 + 54.7276i −0.518681 + 2.54067i
\(465\) −9.00175 + 0.726697i −0.417446 + 0.0336997i
\(466\) −16.7539 4.85283i −0.776110 0.224803i
\(467\) 10.1768 + 5.34118i 0.470925 + 0.247160i 0.683453 0.729994i \(-0.260477\pi\)
−0.212528 + 0.977155i \(0.568170\pi\)
\(468\) 14.9240 + 5.98748i 0.689864 + 0.276771i
\(469\) −14.1180 + 7.40972i −0.651911 + 0.342149i
\(470\) 37.7079 7.69812i 1.73934 0.355088i
\(471\) −14.8494 11.1586i −0.684224 0.514161i
\(472\) −1.16107 28.8117i −0.0534426 1.32616i
\(473\) −9.90563 + 3.75671i −0.455461 + 0.172734i
\(474\) −29.8916 + 8.65821i −1.37297 + 0.397685i
\(475\) −0.731332 0.149302i −0.0335558 0.00685046i
\(476\) 81.7772 + 92.3074i 3.74825 + 4.23090i
\(477\) −2.79260 + 3.42032i −0.127864 + 0.156606i
\(478\) 0.460571 11.4289i 0.0210660 0.522748i
\(479\) −1.23950 3.71276i −0.0566342 0.169640i 0.916419 0.400219i \(-0.131066\pi\)
−0.973054 + 0.230579i \(0.925938\pi\)
\(480\) 6.92946 6.13897i 0.316285 0.280204i
\(481\) −4.98411 + 2.49597i −0.227256 + 0.113807i
\(482\) −14.2287 12.6055i −0.648100 0.574167i
\(483\) −4.99217 + 11.7171i −0.227152 + 0.533145i
\(484\) 21.4651 37.1786i 0.975686 1.68994i
\(485\) 12.5679 + 21.7683i 0.570681 + 0.988448i
\(486\) 2.52310 0.306360i 0.114450 0.0138968i
\(487\) 21.0388 + 9.98304i 0.953359 + 0.452375i 0.840845 0.541275i \(-0.182058\pi\)
0.112514 + 0.993650i \(0.464110\pi\)
\(488\) 5.28953 3.05391i 0.239446 0.138244i
\(489\) 9.52854 + 6.57708i 0.430896 + 0.297426i
\(490\) 84.5832 36.0375i 3.82108 1.62801i
\(491\) 14.6691 + 2.38396i 0.662007 + 0.107587i 0.482126 0.876102i \(-0.339865\pi\)
0.179881 + 0.983688i \(0.442429\pi\)
\(492\) 26.9113 35.8124i 1.21325 1.61455i
\(493\) −15.0183 39.6000i −0.676390 1.78349i
\(494\) 2.72049 2.51523i 0.122401 0.113165i
\(495\) 0.738210 1.94650i 0.0331801 0.0874887i
\(496\) 18.9461 + 29.9608i 0.850705 + 1.34528i
\(497\) −33.7468 14.3782i −1.51375 0.644950i
\(498\) −20.9493 13.2475i −0.938760 0.593636i
\(499\) 5.72449 + 0.695079i 0.256263 + 0.0311160i 0.247660 0.968847i \(-0.420338\pi\)
0.00860327 + 0.999963i \(0.497261\pi\)
\(500\) −21.2539 49.8848i −0.950505 2.23092i
\(501\) −1.69297 + 5.07107i −0.0756364 + 0.226559i
\(502\) −8.77773 3.32895i −0.391769 0.148578i
\(503\) 11.0851 + 0.894879i 0.494259 + 0.0399007i 0.325084 0.945685i \(-0.394608\pi\)
0.169175 + 0.985586i \(0.445890\pi\)
\(504\) 9.10001 31.4169i 0.405347 1.39942i
\(505\) −8.15313 0.328560i −0.362809 0.0146207i
\(506\) 7.25334 0.322450
\(507\) 3.13867 + 12.6154i 0.139393 + 0.560270i
\(508\) −11.7647 −0.521974
\(509\) −25.0664 1.01014i −1.11105 0.0447737i −0.522055 0.852912i \(-0.674834\pi\)
−0.588993 + 0.808138i \(0.700475\pi\)
\(510\) −6.63743 + 22.9151i −0.293910 + 1.01470i
\(511\) −15.9336 1.28630i −0.704863 0.0569024i
\(512\) 47.5231 + 18.0231i 2.10024 + 0.796518i
\(513\) 0.128031 0.383499i 0.00565270 0.0169319i
\(514\) 12.1303 + 28.4708i 0.535044 + 1.25579i
\(515\) 8.91896 + 1.08296i 0.393016 + 0.0477208i
\(516\) −34.0663 21.5422i −1.49968 0.948343i
\(517\) −9.19520 3.91771i −0.404405 0.172301i
\(518\) 10.9868 + 17.3742i 0.482732 + 0.763380i
\(519\) 1.09090 2.87647i 0.0478853 0.126263i
\(520\) 39.0643 + 8.75318i 1.71308 + 0.383852i
\(521\) 0.559639 + 1.47565i 0.0245182 + 0.0646493i 0.946716 0.322068i \(-0.104378\pi\)
−0.922198 + 0.386718i \(0.873609\pi\)
\(522\) −12.2347 + 16.2814i −0.535497 + 0.712617i
\(523\) 3.47202 + 0.564258i 0.151821 + 0.0246733i 0.235847 0.971790i \(-0.424214\pi\)
−0.0840257 + 0.996464i \(0.526778\pi\)
\(524\) −0.302301 + 0.128798i −0.0132061 + 0.00562658i
\(525\) −7.94864 5.48655i −0.346907 0.239453i
\(526\) 21.3320 12.3160i 0.930117 0.537004i
\(527\) −24.2832 11.5225i −1.05779 0.501929i
\(528\) −8.11184 + 0.984956i −0.353023 + 0.0428647i
\(529\) 8.53661 + 14.7858i 0.371157 + 0.642863i
\(530\) −9.96524 + 17.2603i −0.432863 + 0.749740i
\(531\) 1.80777 4.24299i 0.0784505 0.184130i
\(532\) −7.06095 6.25546i −0.306131 0.271208i
\(533\) 36.2089 + 0.689718i 1.56838 + 0.0298750i
\(534\) −32.2355 + 28.5582i −1.39497 + 1.23583i
\(535\) −3.46289 10.3726i −0.149714 0.448448i
\(536\) −0.767257 + 19.0393i −0.0331405 + 0.822372i
\(537\) −7.82873 + 9.58846i −0.337835 + 0.413772i
\(538\) −9.43714 10.6523i −0.406864 0.459254i
\(539\) −23.3950 4.77612i −1.00769 0.205722i
\(540\) 7.60761 2.20357i 0.327380 0.0948266i
\(541\) −40.7922 + 15.4704i −1.75379 + 0.665126i −0.753826 + 0.657074i \(0.771794\pi\)
−0.999968 + 0.00805221i \(0.997437\pi\)
\(542\) 1.97647 + 49.0457i 0.0848968 + 2.10669i
\(543\) 19.0672 + 14.3281i 0.818254 + 0.614878i
\(544\) 26.9960 5.51127i 1.15744 0.236294i
\(545\) −8.94634 + 4.69540i −0.383219 + 0.201129i
\(546\) 45.1421 16.1436i 1.93190 0.690883i
\(547\) 7.32683 + 3.84542i 0.313273 + 0.164418i 0.614030 0.789282i \(-0.289547\pi\)
−0.300758 + 0.953701i \(0.597240\pi\)
\(548\) −90.2627 26.1449i −3.85583 1.11685i
\(549\) 0.973753 0.0786095i 0.0415588 0.00335497i
\(550\) −1.10023 + 5.38929i −0.0469141 + 0.229800i
\(551\) 1.50556 + 2.86860i 0.0641388 + 0.122206i
\(552\) 9.14375 + 12.1681i 0.389184 + 0.517910i
\(553\) −34.2360 + 54.1399i −1.45586 + 2.30226i
\(554\) 2.89172 1.99601i 0.122857 0.0848022i
\(555\) −1.17699 + 2.48046i −0.0499605 + 0.105290i
\(556\) 39.5666 41.1932i 1.67800 1.74698i
\(557\) 2.54988 + 2.44919i 0.108042 + 0.103776i 0.744799 0.667289i \(-0.232545\pi\)
−0.636757 + 0.771064i \(0.719725\pi\)
\(558\) 1.55794 + 12.8308i 0.0659527 + 0.543169i
\(559\) −2.00297 32.5234i −0.0847165 1.37560i
\(560\) 7.80641 64.2916i 0.329881 2.71681i
\(561\) 4.79932 3.91853i 0.202628 0.165440i
\(562\) 10.3696 + 50.7935i 0.437414 + 2.14260i
\(563\) −3.35262 11.5746i −0.141296 0.487811i 0.858387 0.513003i \(-0.171467\pi\)
−0.999683 + 0.0251929i \(0.991980\pi\)
\(564\) −9.10043 36.9219i −0.383197 1.55469i
\(565\) −1.58791 + 19.6697i −0.0668037 + 0.827512i
\(566\) −4.90503 30.1819i −0.206174 1.26864i
\(567\) 3.46916 3.91588i 0.145691 0.164451i
\(568\) −35.0459 + 26.3353i −1.47050 + 1.10501i
\(569\) 11.1745 + 13.6863i 0.468461 + 0.573760i 0.953753 0.300592i \(-0.0971842\pi\)
−0.485292 + 0.874352i \(0.661287\pi\)
\(570\) 0.292737 1.80128i 0.0122614 0.0754474i
\(571\) −13.0515 3.21690i −0.546187 0.134623i −0.0434389 0.999056i \(-0.513831\pi\)
−0.502748 + 0.864433i \(0.667678\pi\)
\(572\) −12.7966 13.8409i −0.535051 0.578716i
\(573\) −26.3753 + 6.50092i −1.10184 + 0.271580i
\(574\) −10.7469 133.124i −0.448565 5.55648i
\(575\) 4.26318 1.42326i 0.177787 0.0593540i
\(576\) 0.479523 + 0.499236i 0.0199801 + 0.0208015i
\(577\) 9.43877i 0.392941i −0.980510 0.196470i \(-0.937052\pi\)
0.980510 0.196470i \(-0.0629480\pi\)
\(578\) −20.0464 + 19.2549i −0.833822 + 0.800897i
\(579\) 0.821881 + 0.671045i 0.0341562 + 0.0278877i
\(580\) −29.4937 + 56.1955i −1.22466 + 2.33339i
\(581\) −50.3585 + 8.18406i −2.08922 + 0.339532i
\(582\) 30.4047 19.2268i 1.26032 0.796976i
\(583\) 4.67634 2.21895i 0.193674 0.0918996i
\(584\) −10.8522 + 15.7222i −0.449068 + 0.650588i
\(585\) 5.04474 + 3.94341i 0.208574 + 0.163040i
\(586\) −28.0916 40.6977i −1.16045 1.68121i
\(587\) −4.49661 2.59612i −0.185595 0.107153i 0.404324 0.914616i \(-0.367507\pi\)
−0.589919 + 0.807463i \(0.700840\pi\)
\(588\) −38.9442 82.0732i −1.60603 3.38464i
\(589\) 1.95022 + 0.651078i 0.0803573 + 0.0268272i
\(590\) 4.98192 20.2125i 0.205103 0.832134i
\(591\) 10.7631 0.433739i 0.442736 0.0178416i
\(592\) 10.7680 0.433937i 0.442564 0.0178347i
\(593\) −4.92766 + 19.9923i −0.202355 + 0.820985i 0.778723 + 0.627368i \(0.215868\pi\)
−0.981077 + 0.193616i \(0.937978\pi\)
\(594\) −2.82607 0.943479i −0.115955 0.0387114i
\(595\) 21.0514 + 44.3648i 0.863022 + 1.81878i
\(596\) −11.1989 6.46571i −0.458726 0.264846i
\(597\) −12.0420 17.4459i −0.492847 0.714012i
\(598\) −6.61393 + 21.3068i −0.270464 + 0.871298i
\(599\) −11.4965 + 16.6555i −0.469733 + 0.680526i −0.984215 0.176975i \(-0.943369\pi\)
0.514482 + 0.857501i \(0.327984\pi\)
\(600\) −10.4280 + 4.94815i −0.425722 + 0.202007i
\(601\) −6.87762 + 4.34914i −0.280544 + 0.177405i −0.667326 0.744766i \(-0.732561\pi\)
0.386782 + 0.922171i \(0.373587\pi\)
\(602\) −118.612 + 19.2764i −4.83427 + 0.785646i
\(603\) −1.41635 + 2.69863i −0.0576783 + 0.109897i
\(604\) 13.5775 + 11.0857i 0.552460 + 0.451070i
\(605\) 12.3287 11.8418i 0.501232 0.481439i
\(606\) 11.6780i 0.474387i
\(607\) 15.9913 + 16.6487i 0.649066 + 0.675749i 0.961694 0.274126i \(-0.0883887\pi\)
−0.312628 + 0.949876i \(0.601209\pi\)
\(608\) −1.99916 + 0.667416i −0.0810765 + 0.0270673i
\(609\) 3.37317 + 41.7842i 0.136688 + 1.69318i
\(610\) 4.28139 1.05527i 0.173348 0.0427265i
\(611\) 19.8929 23.4387i 0.804782 0.948227i
\(612\) 22.8876 + 5.64129i 0.925177 + 0.228036i
\(613\) −1.99235 + 12.2594i −0.0804703 + 0.495154i 0.915262 + 0.402860i \(0.131984\pi\)
−0.995732 + 0.0922935i \(0.970580\pi\)
\(614\) 26.6195 + 32.6030i 1.07428 + 1.31575i
\(615\) 14.2603 10.7159i 0.575032 0.432109i
\(616\) −25.4254 + 28.6993i −1.02442 + 1.15633i
\(617\) −1.37228 8.44397i −0.0552459 0.339942i −0.999929 0.0119558i \(-0.996194\pi\)
0.944683 0.327986i \(-0.106370\pi\)
\(618\) 1.03467 12.8166i 0.0416204 0.515561i
\(619\) −10.9636 44.4809i −0.440662 1.78784i −0.599326 0.800505i \(-0.704565\pi\)
0.158663 0.987333i \(-0.449282\pi\)
\(620\) 11.2059 + 38.6871i 0.450038 + 1.55371i
\(621\) 0.486962 + 2.38530i 0.0195411 + 0.0957187i
\(622\) 18.0881 14.7685i 0.725267 0.592162i
\(623\) −10.6850 + 87.9988i −0.428085 + 3.52560i
\(624\) 4.50343 24.7268i 0.180282 0.989863i
\(625\) −1.48994 12.2707i −0.0595975 0.490829i
\(626\) 26.0972 + 25.0667i 1.04305 + 1.00187i
\(627\) −0.328312 + 0.341809i −0.0131115 + 0.0136505i
\(628\) −35.5133 + 74.8427i −1.41713 + 2.98655i
\(629\) −6.72486 + 4.64183i −0.268138 + 0.185082i
\(630\) 12.6207 19.9580i 0.502820 0.795146i
\(631\) −27.8476 37.0584i −1.10860 1.47527i −0.862521 0.506022i \(-0.831116\pi\)
−0.246074 0.969251i \(-0.579141\pi\)
\(632\) 35.5756 + 67.7837i 1.41512 + 2.69629i
\(633\) −2.56341 + 12.5564i −0.101886 + 0.499072i
\(634\) −40.1981 + 3.24513i −1.59647 + 0.128880i
\(635\) −4.49969 1.30335i −0.178565 0.0517219i
\(636\) 17.4372 + 9.15174i 0.691430 + 0.362890i
\(637\) 35.3626 64.3680i 1.40112 2.55035i
\(638\) 21.1391 11.0947i 0.836906 0.439242i
\(639\) −6.87001 + 1.40252i −0.271773 + 0.0554829i
\(640\) 17.2998 + 13.0000i 0.683835 + 0.513868i
\(641\) −1.04911 26.0334i −0.0414373 1.02826i −0.877486 0.479602i \(-0.840781\pi\)
0.836049 0.548655i \(-0.184860\pi\)
\(642\) −14.6334 + 5.54973i −0.577536 + 0.219031i
\(643\) −44.6085 + 12.9210i −1.75919 + 0.509555i −0.991368 0.131110i \(-0.958146\pi\)
−0.767821 + 0.640665i \(0.778659\pi\)
\(644\) 55.6541 + 11.3619i 2.19308 + 0.447720i
\(645\) −10.6429 12.0134i −0.419064 0.473026i
\(646\) 3.43502 4.20714i 0.135149 0.165528i
\(647\) −0.235335 + 5.83977i −0.00925196 + 0.229585i 0.987947 + 0.154792i \(0.0494707\pi\)
−0.997199 + 0.0747931i \(0.976170\pi\)
\(648\) −1.97984 5.93035i −0.0777756 0.232966i
\(649\) −4.04677 + 3.58512i −0.158849 + 0.140728i
\(650\) −14.8279 8.14615i −0.581597 0.319518i
\(651\) 19.9135 + 17.6418i 0.780471 + 0.691437i
\(652\) 20.2399 47.5047i 0.792654 1.86043i
\(653\) −4.19239 + 7.26144i −0.164061 + 0.284162i −0.936321 0.351144i \(-0.885793\pi\)
0.772260 + 0.635306i \(0.219126\pi\)
\(654\) 7.23005 + 12.5228i 0.282717 + 0.489681i
\(655\) −0.129891 + 0.0157716i −0.00507527 + 0.000616249i
\(656\) −63.2570 30.0158i −2.46977 1.17192i
\(657\) −2.64622 + 1.52779i −0.103239 + 0.0596049i
\(658\) −93.3044 64.4034i −3.63738 2.51070i
\(659\) 11.8063 5.03021i 0.459910 0.195949i −0.149570 0.988751i \(-0.547789\pi\)
0.609479 + 0.792802i \(0.291379\pi\)
\(660\) −9.16427 1.48934i −0.356719 0.0579725i
\(661\) −25.9579 + 34.5437i −1.00965 + 1.34359i −0.0714666 + 0.997443i \(0.522768\pi\)
−0.938179 + 0.346151i \(0.887488\pi\)
\(662\) −8.23429 21.7120i −0.320035 0.843862i
\(663\) 7.13448 + 17.6712i 0.277080 + 0.686291i
\(664\) −21.6209 + 57.0096i −0.839054 + 2.21240i
\(665\) −2.00762 3.17479i −0.0778521 0.123113i
\(666\) 3.61492 + 1.54017i 0.140075 + 0.0596804i
\(667\) −16.4875 10.4261i −0.638400 0.403700i
\(668\) 23.6696 + 2.87401i 0.915804 + 0.111199i
\(669\) −5.22574 12.2653i −0.202039 0.474202i
\(670\) −4.35625 + 13.0486i −0.168297 + 0.504110i
\(671\) −1.07077 0.406088i −0.0413365 0.0156769i
\(672\) −27.1833 2.19446i −1.04862 0.0846533i
\(673\) −9.86522 + 34.0587i −0.380276 + 1.31287i 0.511068 + 0.859540i \(0.329250\pi\)
−0.891345 + 0.453326i \(0.850237\pi\)
\(674\) 65.5598 + 2.64197i 2.52527 + 0.101765i
\(675\) −1.84616 −0.0710589
\(676\) 52.3262 24.9693i 2.01255 0.960358i
\(677\) 16.5357 0.635519 0.317759 0.948171i \(-0.397070\pi\)
0.317759 + 0.948171i \(0.397070\pi\)
\(678\) 28.2195 + 1.13721i 1.08376 + 0.0436742i
\(679\) 20.6011 71.1232i 0.790597 2.72946i
\(680\) 58.4951 + 4.72221i 2.24318 + 0.181089i
\(681\) −2.04409 0.775221i −0.0783297 0.0297065i
\(682\) 4.79789 14.3714i 0.183721 0.550311i
\(683\) −5.76249 13.5251i −0.220495 0.517522i 0.772591 0.634904i \(-0.218960\pi\)
−0.993087 + 0.117382i \(0.962550\pi\)
\(684\) −1.79001 0.217347i −0.0684428 0.00831046i
\(685\) −31.6266 19.9995i −1.20839 0.764141i
\(686\) −163.541 69.6783i −6.24403 2.66033i
\(687\) −13.6952 21.6572i −0.522504 0.826274i
\(688\) −22.3395 + 58.9044i −0.851685 + 2.24571i
\(689\) 2.25409 + 15.7602i 0.0858741 + 0.600414i
\(690\) 3.89660 + 10.2745i 0.148341 + 0.391143i
\(691\) −3.74274 + 4.98069i −0.142381 + 0.189474i −0.865000 0.501772i \(-0.832682\pi\)
0.722619 + 0.691246i \(0.242938\pi\)
\(692\) −13.5427 2.20090i −0.514814 0.0836655i
\(693\) −5.64190 + 2.40379i −0.214318 + 0.0913123i
\(694\) 16.7989 + 11.5955i 0.637679 + 0.440158i
\(695\) 19.6968 11.3719i 0.747141 0.431362i
\(696\) 45.2608 + 21.4765i 1.71561 + 0.814066i
\(697\) 52.7022 6.39920i 1.99624 0.242387i
\(698\) 31.7487 + 54.9903i 1.20171 + 2.08142i
\(699\) −3.43138 + 5.94332i −0.129787 + 0.224797i
\(700\) −16.8839 + 39.6281i −0.638153 + 1.49780i
\(701\) 14.7567 + 13.0733i 0.557354 + 0.493772i 0.894127 0.447813i \(-0.147797\pi\)
−0.336773 + 0.941586i \(0.609336\pi\)
\(702\) 5.34842 7.44129i 0.201863 0.280854i
\(703\) 0.467861 0.414488i 0.0176457 0.0156327i
\(704\) −0.256962 0.769695i −0.00968461 0.0290090i
\(705\) 0.609712 15.1298i 0.0229631 0.569823i
\(706\) 20.6291 25.2660i 0.776385 0.950900i
\(707\) 15.9398 + 17.9923i 0.599477 + 0.676669i
\(708\) −20.1535 4.11437i −0.757415 0.154627i
\(709\) −6.29144 + 1.82234i −0.236280 + 0.0684394i −0.394245 0.919005i \(-0.628994\pi\)
0.157965 + 0.987445i \(0.449507\pi\)
\(710\) −29.5920 + 11.2228i −1.11057 + 0.421183i
\(711\) 0.493026 + 12.2343i 0.0184899 + 0.458822i
\(712\) 84.6911 + 63.6413i 3.17393 + 2.38506i
\(713\) −12.1300 + 2.47636i −0.454272 + 0.0927403i
\(714\) 62.2292 32.6604i 2.32887 1.22228i
\(715\) −3.36099 6.71144i −0.125694 0.250994i
\(716\) 48.8831 + 25.6558i 1.82685 + 0.958803i
\(717\) −4.32267 1.25208i −0.161433 0.0467596i
\(718\) 21.2496 1.71545i 0.793028 0.0640199i
\(719\) 7.37744 36.1371i 0.275132 1.34769i −0.573718 0.819053i \(-0.694499\pi\)
0.848850 0.528634i \(-0.177296\pi\)
\(720\) −5.75301 10.9615i −0.214402 0.408509i
\(721\) −15.8998 21.1588i −0.592140 0.787995i
\(722\) 25.5878 40.4639i 0.952280 1.50591i
\(723\) −6.15526 + 4.24867i −0.228917 + 0.158010i
\(724\) 45.6005 96.1010i 1.69473 3.57157i
\(725\) 10.2476 10.6689i 0.380587 0.396233i
\(726\) −17.6445 16.9478i −0.654848 0.628990i
\(727\) 3.50957 + 28.9039i 0.130163 + 1.07199i 0.900654 + 0.434537i \(0.143088\pi\)
−0.770491 + 0.637450i \(0.779989\pi\)
\(728\) −61.1206 100.857i −2.26528 3.73800i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) −10.6833 + 8.72267i −0.395408 + 0.322840i
\(731\) −9.55469 46.8020i −0.353393 1.73103i
\(732\) −1.21218 4.18493i −0.0448035 0.154680i
\(733\) 10.7073 + 43.4411i 0.395482 + 1.60453i 0.744637 + 0.667470i \(0.232623\pi\)
−0.349155 + 0.937065i \(0.613531\pi\)
\(734\) −4.06159 + 50.3119i −0.149916 + 1.85705i
\(735\) −5.80268 35.7053i −0.214035 1.31701i
\(736\) 8.41560 9.49925i 0.310203 0.350147i
\(737\) 2.85614 2.14625i 0.105207 0.0790582i
\(738\) −16.1457 19.7749i −0.594333 0.727926i
\(739\) −0.887574 + 5.46146i −0.0326499 + 0.200903i −0.998250 0.0591268i \(-0.981168\pi\)
0.965601 + 0.260030i \(0.0837325\pi\)
\(740\) 11.8890 + 2.93037i 0.437047 + 0.107722i
\(741\) −0.704699 1.27610i −0.0258877 0.0468787i
\(742\) 57.0063 14.0508i 2.09277 0.515821i
\(743\) −4.07503 50.4783i −0.149498 1.85187i −0.443760 0.896145i \(-0.646356\pi\)
0.294262 0.955725i \(-0.404926\pi\)
\(744\) 30.1577 10.0681i 1.10564 0.369116i
\(745\) −3.56700 3.71364i −0.130685 0.136057i
\(746\) 39.7991i 1.45715i
\(747\) −7.03331 + 6.75559i −0.257335 + 0.247174i
\(748\) −21.4044 17.4762i −0.782623 0.638992i
\(749\) −14.9706 + 28.5242i −0.547015 + 1.04225i
\(750\) −30.5013 + 4.95694i −1.11375 + 0.181002i
\(751\) 21.3887 13.5254i 0.780483 0.493548i −0.0838432 0.996479i \(-0.526719\pi\)
0.864326 + 0.502931i \(0.167745\pi\)
\(752\) −53.6974 + 25.4797i −1.95814 + 0.929150i
\(753\) −2.09821 + 3.03978i −0.0764630 + 0.110776i
\(754\) 13.3151 + 72.2131i 0.484907 + 2.62985i
\(755\) 3.96491 + 5.74416i 0.144298 + 0.209051i
\(756\) −20.2062 11.6661i −0.734893 0.424291i
\(757\) 13.6685 + 28.8058i 0.496791 + 1.04696i 0.984730 + 0.174087i \(0.0556975\pi\)
−0.487939 + 0.872878i \(0.662251\pi\)
\(758\) −56.0048 18.6972i −2.03419 0.679111i
\(759\) 0.682962 2.77089i 0.0247900 0.100577i
\(760\) −4.48543 + 0.180757i −0.162704 + 0.00655674i
\(761\) 14.2644 0.574837i 0.517085 0.0208378i 0.219648 0.975579i \(-0.429509\pi\)
0.297437 + 0.954741i \(0.403868\pi\)
\(762\) −1.60450 + 6.50973i −0.0581250 + 0.235823i
\(763\) 28.2322 + 9.42528i 1.02207 + 0.341218i
\(764\) 51.9366 + 109.454i 1.87900 + 3.95991i
\(765\) 8.12894 + 4.69325i 0.293903 + 0.169685i
\(766\) 44.3254 + 64.2165i 1.60154 + 2.32024i
\(767\) −6.84131 15.1565i −0.247025 0.547270i
\(768\) 16.8067 24.3487i 0.606460 0.878609i
\(769\) 14.6869 6.96903i 0.529624 0.251310i −0.145051 0.989424i \(-0.546335\pi\)
0.674676 + 0.738114i \(0.264284\pi\)
\(770\) −23.3955 + 14.7944i −0.843117 + 0.533155i
\(771\) 12.0185 1.95319i 0.432835 0.0703425i
\(772\) 2.19911 4.19005i 0.0791476 0.150803i
\(773\) −8.04322 6.56709i −0.289295