Properties

Label 552.2.bb.a.85.23
Level $552$
Weight $2$
Character 552.85
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 85.23
Character \(\chi\) \(=\) 552.85
Dual form 552.2.bb.a.13.23

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.160789 - 1.40504i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.94829 + 0.451832i) q^{4} +(-0.0738416 + 0.0337223i) q^{5} +(1.09507 - 0.894888i) q^{6} +(-0.400719 + 0.117662i) q^{7} +(0.948109 + 2.66479i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.160789 - 1.40504i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.94829 + 0.451832i) q^{4} +(-0.0738416 + 0.0337223i) q^{5} +(1.09507 - 0.894888i) q^{6} +(-0.400719 + 0.117662i) q^{7} +(0.948109 + 2.66479i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(0.0592543 + 0.0983284i) q^{10} +(-2.76031 + 2.39183i) q^{11} +(-1.43343 - 1.39473i) q^{12} +(-1.04525 + 3.55980i) q^{13} +(0.229751 + 0.544109i) q^{14} +(-0.0682908 - 0.0438878i) q^{15} +(3.59170 - 1.76060i) q^{16} +(-0.466666 + 3.24573i) q^{17} +(1.34487 + 0.437417i) q^{18} +(-0.956420 + 0.137512i) q^{19} +(0.128628 - 0.0990650i) q^{20} +(-0.315629 - 0.273494i) q^{21} +(3.80445 + 3.49378i) q^{22} +(-0.872942 - 4.71572i) q^{23} +(-1.72917 + 2.23829i) q^{24} +(-3.26999 + 3.77377i) q^{25} +(5.16974 + 0.896245i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(0.727555 - 0.410298i) q^{28} +(-3.25048 - 0.467348i) q^{29} +(-0.0506839 + 0.103008i) q^{30} +(4.99772 + 3.21184i) q^{31} +(-3.05123 - 4.76340i) q^{32} +(-3.50447 - 1.02901i) q^{33} +(4.63543 + 0.133806i) q^{34} +(0.0256219 - 0.0222015i) q^{35} +(0.398349 - 1.95993i) q^{36} +(8.45554 + 3.86152i) q^{37} +(0.346993 + 1.32170i) q^{38} +(-3.55980 + 1.04525i) q^{39} +(-0.159873 - 0.164800i) q^{40} +(3.21284 + 7.03514i) q^{41} +(-0.333521 + 0.487447i) q^{42} +(4.77047 + 7.42299i) q^{43} +(4.29720 - 5.90718i) q^{44} -0.0811774i q^{45} +(-6.48542 + 1.98476i) q^{46} -4.94443 q^{47} +(3.42293 + 2.06967i) q^{48} +(-5.74204 + 3.69019i) q^{49} +(5.82809 + 3.98769i) q^{50} +(-2.98278 + 1.36219i) q^{51} +(0.428024 - 7.40781i) q^{52} +(-1.01460 - 3.45540i) q^{53} +(0.359111 + 1.36786i) q^{54} +(0.123168 - 0.269700i) q^{55} +(-0.693469 - 0.956275i) q^{56} +(-0.632762 - 0.730247i) q^{57} +(-0.134002 + 4.64221i) q^{58} +(2.31899 - 7.89776i) q^{59} +(0.152880 + 0.0546504i) q^{60} +(5.62148 - 8.74720i) q^{61} +(3.70919 - 7.53844i) q^{62} +(0.0594359 - 0.413386i) q^{63} +(-6.20218 + 5.05302i) q^{64} +(-0.0428617 - 0.298110i) q^{65} +(-0.882315 + 5.08939i) q^{66} +(-4.23708 - 3.67145i) q^{67} +(-0.557325 - 6.53449i) q^{68} +(3.49516 - 3.28387i) q^{69} +(-0.0353138 - 0.0324301i) q^{70} +(6.12026 - 7.06315i) q^{71} +(-2.81783 - 0.244562i) q^{72} +(1.45635 + 10.1292i) q^{73} +(4.06604 - 12.5013i) q^{74} +(-4.94258 - 0.710636i) q^{75} +(1.80125 - 0.700056i) q^{76} +(0.824684 - 1.28323i) q^{77} +(2.04100 + 4.83361i) q^{78} +(-10.6910 - 3.13916i) q^{79} +(-0.205845 + 0.251126i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(9.36809 - 5.64536i) q^{82} +(-9.63750 - 4.40130i) q^{83} +(0.738510 + 0.390235i) q^{84} +(-0.0749943 - 0.255407i) q^{85} +(9.66259 - 7.89626i) q^{86} +(-1.36418 - 2.98714i) q^{87} +(-8.99078 - 5.08794i) q^{88} +(1.16133 - 0.746342i) q^{89} +(-0.114058 + 0.0130525i) q^{90} -1.54947i q^{91} +(3.83146 + 8.79317i) q^{92} +5.94080i q^{93} +(0.795013 + 6.94714i) q^{94} +(0.0659863 - 0.0424068i) q^{95} +(2.35761 - 5.14215i) q^{96} +(-1.88329 - 4.12384i) q^{97} +(6.10813 + 7.47448i) q^{98} +(-1.02901 - 3.50447i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{4}{11}\right)\) \(1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.160789 1.40504i −0.113695 0.993516i
\(3\) 0.540641 + 0.841254i 0.312139 + 0.485698i
\(4\) −1.94829 + 0.451832i −0.974147 + 0.225916i
\(5\) −0.0738416 + 0.0337223i −0.0330230 + 0.0150811i −0.431858 0.901942i \(-0.642142\pi\)
0.398835 + 0.917023i \(0.369415\pi\)
\(6\) 1.09507 0.894888i 0.447060 0.365337i
\(7\) −0.400719 + 0.117662i −0.151458 + 0.0444720i −0.356583 0.934264i \(-0.616058\pi\)
0.205125 + 0.978736i \(0.434240\pi\)
\(8\) 0.948109 + 2.66479i 0.335207 + 0.942144i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) 0.0592543 + 0.0983284i 0.0187378 + 0.0310942i
\(11\) −2.76031 + 2.39183i −0.832266 + 0.721162i −0.962781 0.270284i \(-0.912882\pi\)
0.130515 + 0.991446i \(0.458337\pi\)
\(12\) −1.43343 1.39473i −0.413796 0.402624i
\(13\) −1.04525 + 3.55980i −0.289901 + 0.987311i 0.677808 + 0.735239i \(0.262930\pi\)
−0.967709 + 0.252072i \(0.918888\pi\)
\(14\) 0.229751 + 0.544109i 0.0614036 + 0.145419i
\(15\) −0.0682908 0.0438878i −0.0176326 0.0113318i
\(16\) 3.59170 1.76060i 0.897924 0.440151i
\(17\) −0.466666 + 3.24573i −0.113183 + 0.787206i 0.851606 + 0.524182i \(0.175629\pi\)
−0.964789 + 0.263024i \(0.915280\pi\)
\(18\) 1.34487 + 0.437417i 0.316988 + 0.103100i
\(19\) −0.956420 + 0.137512i −0.219418 + 0.0315475i −0.251147 0.967949i \(-0.580808\pi\)
0.0317291 + 0.999497i \(0.489899\pi\)
\(20\) 0.128628 0.0990650i 0.0287621 0.0221516i
\(21\) −0.315629 0.273494i −0.0688758 0.0596812i
\(22\) 3.80445 + 3.49378i 0.811111 + 0.744876i
\(23\) −0.872942 4.71572i −0.182021 0.983295i
\(24\) −1.72917 + 2.23829i −0.352966 + 0.456890i
\(25\) −3.26999 + 3.77377i −0.653998 + 0.754754i
\(26\) 5.16974 + 0.896245i 1.01387 + 0.175768i
\(27\) −0.989821 + 0.142315i −0.190491 + 0.0273885i
\(28\) 0.727555 0.410298i 0.137495 0.0775390i
\(29\) −3.25048 0.467348i −0.603599 0.0867844i −0.166261 0.986082i \(-0.553169\pi\)
−0.437338 + 0.899297i \(0.644079\pi\)
\(30\) −0.0506839 + 0.103008i −0.00925356 + 0.0188066i
\(31\) 4.99772 + 3.21184i 0.897616 + 0.576863i 0.906082 0.423101i \(-0.139059\pi\)
−0.00846621 + 0.999964i \(0.502695\pi\)
\(32\) −3.05123 4.76340i −0.539387 0.842058i
\(33\) −3.50447 1.02901i −0.610050 0.179127i
\(34\) 4.63543 + 0.133806i 0.794970 + 0.0229476i
\(35\) 0.0256219 0.0222015i 0.00433089 0.00375274i
\(36\) 0.398349 1.95993i 0.0663915 0.326655i
\(37\) 8.45554 + 3.86152i 1.39008 + 0.634829i 0.963029 0.269397i \(-0.0868244\pi\)
0.427053 + 0.904226i \(0.359552\pi\)
\(38\) 0.346993 + 1.32170i 0.0562897 + 0.214408i
\(39\) −3.55980 + 1.04525i −0.570024 + 0.167374i
\(40\) −0.159873 0.164800i −0.0252781 0.0260571i
\(41\) 3.21284 + 7.03514i 0.501761 + 1.09870i 0.975893 + 0.218250i \(0.0700349\pi\)
−0.474131 + 0.880454i \(0.657238\pi\)
\(42\) −0.333521 + 0.487447i −0.0514634 + 0.0752147i
\(43\) 4.77047 + 7.42299i 0.727490 + 1.13200i 0.986122 + 0.166020i \(0.0530917\pi\)
−0.258633 + 0.965976i \(0.583272\pi\)
\(44\) 4.29720 5.90718i 0.647827 0.890540i
\(45\) 0.0811774i 0.0121012i
\(46\) −6.48542 + 1.98476i −0.956224 + 0.292637i
\(47\) −4.94443 −0.721220 −0.360610 0.932717i \(-0.617431\pi\)
−0.360610 + 0.932717i \(0.617431\pi\)
\(48\) 3.42293 + 2.06967i 0.494058 + 0.298731i
\(49\) −5.74204 + 3.69019i −0.820292 + 0.527170i
\(50\) 5.82809 + 3.98769i 0.824216 + 0.563945i
\(51\) −2.98278 + 1.36219i −0.417673 + 0.190745i
\(52\) 0.428024 7.40781i 0.0593562 1.02728i
\(53\) −1.01460 3.45540i −0.139366 0.474636i 0.859998 0.510297i \(-0.170465\pi\)
−0.999364 + 0.0356609i \(0.988646\pi\)
\(54\) 0.359111 + 1.36786i 0.0488689 + 0.186142i
\(55\) 0.123168 0.269700i 0.0166080 0.0363664i
\(56\) −0.693469 0.956275i −0.0926687 0.127788i
\(57\) −0.632762 0.730247i −0.0838114 0.0967235i
\(58\) −0.134002 + 4.64221i −0.0175953 + 0.609552i
\(59\) 2.31899 7.89776i 0.301907 1.02820i −0.659187 0.751979i \(-0.729099\pi\)
0.961094 0.276222i \(-0.0890825\pi\)
\(60\) 0.152880 + 0.0546504i 0.0197368 + 0.00705533i
\(61\) 5.62148 8.74720i 0.719757 1.11996i −0.267917 0.963442i \(-0.586335\pi\)
0.987674 0.156522i \(-0.0500282\pi\)
\(62\) 3.70919 7.53844i 0.471068 0.957382i
\(63\) 0.0594359 0.413386i 0.00748822 0.0520817i
\(64\) −6.20218 + 5.05302i −0.775272 + 0.631627i
\(65\) −0.0428617 0.298110i −0.00531634 0.0369759i
\(66\) −0.882315 + 5.08939i −0.108605 + 0.626460i
\(67\) −4.23708 3.67145i −0.517642 0.448540i 0.356440 0.934318i \(-0.383991\pi\)
−0.874082 + 0.485779i \(0.838536\pi\)
\(68\) −0.557325 6.53449i −0.0675856 0.792424i
\(69\) 3.49516 3.28387i 0.420768 0.395332i
\(70\) −0.0353138 0.0324301i −0.00422081 0.00387614i
\(71\) 6.12026 7.06315i 0.726341 0.838242i −0.265714 0.964052i \(-0.585608\pi\)
0.992054 + 0.125810i \(0.0401530\pi\)
\(72\) −2.81783 0.244562i −0.332085 0.0288219i
\(73\) 1.45635 + 10.1292i 0.170453 + 1.18553i 0.877929 + 0.478790i \(0.158925\pi\)
−0.707476 + 0.706737i \(0.750166\pi\)
\(74\) 4.06604 12.5013i 0.472667 1.45325i
\(75\) −4.94258 0.710636i −0.570720 0.0820572i
\(76\) 1.80125 0.700056i 0.206618 0.0803019i
\(77\) 0.824684 1.28323i 0.0939815 0.146238i
\(78\) 2.04100 + 4.83361i 0.231098 + 0.547298i
\(79\) −10.6910 3.13916i −1.20283 0.353184i −0.381897 0.924205i \(-0.624729\pi\)
−0.820935 + 0.571021i \(0.806547\pi\)
\(80\) −0.205845 + 0.251126i −0.0230141 + 0.0280767i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) 9.36809 5.64536i 1.03453 0.623425i
\(83\) −9.63750 4.40130i −1.05785 0.483105i −0.190959 0.981598i \(-0.561160\pi\)
−0.866894 + 0.498493i \(0.833887\pi\)
\(84\) 0.738510 + 0.390235i 0.0805781 + 0.0425781i
\(85\) −0.0749943 0.255407i −0.00813427 0.0277028i
\(86\) 9.66259 7.89626i 1.04194 0.851475i
\(87\) −1.36418 2.98714i −0.146256 0.320255i
\(88\) −8.99078 5.08794i −0.958421 0.542376i
\(89\) 1.16133 0.746342i 0.123101 0.0791121i −0.477641 0.878555i \(-0.658508\pi\)
0.600742 + 0.799443i \(0.294872\pi\)
\(90\) −0.114058 + 0.0130525i −0.0120227 + 0.00137585i
\(91\) 1.54947i 0.162428i
\(92\) 3.83146 + 8.79317i 0.399457 + 0.916752i
\(93\) 5.94080i 0.616032i
\(94\) 0.795013 + 6.94714i 0.0819993 + 0.716543i
\(95\) 0.0659863 0.0424068i 0.00677005 0.00435085i
\(96\) 2.35761 5.14215i 0.240622 0.524818i
\(97\) −1.88329 4.12384i −0.191220 0.418713i 0.789602 0.613619i \(-0.210287\pi\)
−0.980822 + 0.194906i \(0.937560\pi\)
\(98\) 6.10813 + 7.47448i 0.617015 + 0.755036i
\(99\) −1.02901 3.50447i −0.103419 0.352212i
\(100\) 4.66579 8.82989i 0.466579 0.882989i
\(101\) −0.319064 0.145712i −0.0317481 0.0144989i 0.399478 0.916743i \(-0.369191\pi\)
−0.431226 + 0.902244i \(0.641919\pi\)
\(102\) 2.39354 + 3.97191i 0.236996 + 0.393278i
\(103\) 3.20140 + 3.69461i 0.315443 + 0.364041i 0.891224 0.453563i \(-0.149847\pi\)
−0.575781 + 0.817604i \(0.695302\pi\)
\(104\) −10.4771 + 0.589706i −1.02737 + 0.0578255i
\(105\) 0.0325294 + 0.00955148i 0.00317454 + 0.000932129i
\(106\) −4.69186 + 1.98115i −0.455713 + 0.192426i
\(107\) 6.89871 10.7346i 0.666924 1.03775i −0.328712 0.944430i \(-0.606615\pi\)
0.995636 0.0933235i \(-0.0297491\pi\)
\(108\) 1.86416 0.724504i 0.179379 0.0697155i
\(109\) 10.7097 + 1.53982i 1.02580 + 0.147488i 0.634619 0.772825i \(-0.281157\pi\)
0.391183 + 0.920313i \(0.372066\pi\)
\(110\) −0.398745 0.129691i −0.0380188 0.0123656i
\(111\) 1.32290 + 9.20095i 0.125564 + 0.873315i
\(112\) −1.23211 + 1.12811i −0.116423 + 0.106597i
\(113\) −6.87962 + 7.93951i −0.647180 + 0.746886i −0.980627 0.195883i \(-0.937243\pi\)
0.333447 + 0.942769i \(0.391788\pi\)
\(114\) −0.924287 + 1.00647i −0.0865674 + 0.0942650i
\(115\) 0.223484 + 0.318778i 0.0208400 + 0.0297262i
\(116\) 6.54405 0.558140i 0.607600 0.0518220i
\(117\) −2.80389 2.42959i −0.259220 0.224616i
\(118\) −11.4696 1.98841i −1.05586 0.183048i
\(119\) −0.194897 1.35554i −0.0178662 0.124262i
\(120\) 0.0522046 0.223591i 0.00476560 0.0204110i
\(121\) 0.333040 2.31634i 0.0302763 0.210576i
\(122\) −13.1941 6.49197i −1.19453 0.587755i
\(123\) −4.18134 + 6.50630i −0.377019 + 0.586653i
\(124\) −11.1882 3.99947i −1.00473 0.359163i
\(125\) 0.228553 0.778378i 0.0204424 0.0696203i
\(126\) −0.590381 0.0170419i −0.0525953 0.00151822i
\(127\) −6.51042 7.51343i −0.577707 0.666709i 0.389403 0.921067i \(-0.372681\pi\)
−0.967110 + 0.254358i \(0.918136\pi\)
\(128\) 8.09695 + 7.90186i 0.715676 + 0.698432i
\(129\) −3.66551 + 8.02635i −0.322730 + 0.706681i
\(130\) −0.411965 + 0.108155i −0.0361317 + 0.00948586i
\(131\) −1.97500 6.72622i −0.172556 0.587672i −0.999671 0.0256397i \(-0.991838\pi\)
0.827115 0.562033i \(-0.189980\pi\)
\(132\) 7.29267 + 0.421371i 0.634746 + 0.0366757i
\(133\) 0.367076 0.167638i 0.0318295 0.0145360i
\(134\) −4.47727 + 6.54362i −0.386778 + 0.565283i
\(135\) 0.0682908 0.0438878i 0.00587754 0.00377726i
\(136\) −9.09164 + 1.83374i −0.779601 + 0.157242i
\(137\) 10.7474 0.918209 0.459105 0.888382i \(-0.348170\pi\)
0.459105 + 0.888382i \(0.348170\pi\)
\(138\) −5.17597 4.38285i −0.440608 0.373093i
\(139\) 17.1535i 1.45494i 0.686139 + 0.727470i \(0.259304\pi\)
−0.686139 + 0.727470i \(0.740696\pi\)
\(140\) −0.0398876 + 0.0548319i −0.00337112 + 0.00463414i
\(141\) −2.67316 4.15952i −0.225121 0.350295i
\(142\) −10.9081 7.46354i −0.915388 0.626327i
\(143\) −5.62920 12.3262i −0.470737 1.03077i
\(144\) 0.109458 + 3.99850i 0.00912148 + 0.333209i
\(145\) 0.255780 0.0751039i 0.0212414 0.00623704i
\(146\) 13.9977 3.67490i 1.15846 0.304137i
\(147\) −6.20877 2.83545i −0.512090 0.233864i
\(148\) −18.2186 3.70288i −1.49756 0.304375i
\(149\) −4.82923 + 4.18455i −0.395626 + 0.342812i −0.829843 0.557996i \(-0.811570\pi\)
0.434218 + 0.900808i \(0.357025\pi\)
\(150\) −0.203759 + 7.05881i −0.0166369 + 0.576349i
\(151\) −12.5486 3.68459i −1.02119 0.299848i −0.272064 0.962279i \(-0.587706\pi\)
−0.749122 + 0.662431i \(0.769525\pi\)
\(152\) −1.27323 2.41828i −0.103273 0.196148i
\(153\) −2.75856 1.77282i −0.223017 0.143324i
\(154\) −1.93560 0.952387i −0.155975 0.0767455i
\(155\) −0.477350 0.0686325i −0.0383417 0.00551270i
\(156\) 6.46326 3.64489i 0.517475 0.291825i
\(157\) 22.6001 3.24940i 1.80368 0.259330i 0.843185 0.537624i \(-0.180678\pi\)
0.960496 + 0.278294i \(0.0897688\pi\)
\(158\) −2.69166 + 15.5261i −0.214137 + 1.23519i
\(159\) 2.35834 2.72167i 0.187028 0.215842i
\(160\) 0.385941 + 0.248842i 0.0305113 + 0.0196727i
\(161\) 0.904664 + 1.78697i 0.0712975 + 0.140833i
\(162\) −0.956566 + 1.04162i −0.0751549 + 0.0818377i
\(163\) 0.976815 + 0.846415i 0.0765100 + 0.0662963i 0.692276 0.721633i \(-0.256608\pi\)
−0.615766 + 0.787929i \(0.711153\pi\)
\(164\) −9.43826 12.2549i −0.737004 0.956943i
\(165\) 0.293476 0.0421955i 0.0228471 0.00328491i
\(166\) −4.63441 + 14.2488i −0.359700 + 1.10592i
\(167\) 0.189110 1.31529i 0.0146338 0.101780i −0.981195 0.193017i \(-0.938173\pi\)
0.995829 + 0.0912366i \(0.0290820\pi\)
\(168\) 0.429552 1.10038i 0.0331407 0.0848965i
\(169\) −0.643328 0.413442i −0.0494868 0.0318032i
\(170\) −0.346800 + 0.146437i −0.0265983 + 0.0112312i
\(171\) 0.272225 0.927115i 0.0208176 0.0708982i
\(172\) −12.6482 12.3067i −0.964418 0.938379i
\(173\) −8.91183 + 7.72215i −0.677554 + 0.587104i −0.924157 0.382013i \(-0.875231\pi\)
0.246603 + 0.969117i \(0.420686\pi\)
\(174\) −3.97772 + 2.39704i −0.301550 + 0.181719i
\(175\) 0.866319 1.89697i 0.0654876 0.143398i
\(176\) −5.70315 + 13.4505i −0.429891 + 1.01387i
\(177\) 7.89776 2.31899i 0.593632 0.174306i
\(178\) −1.23537 1.51172i −0.0925951 0.113308i
\(179\) −15.2945 + 6.98478i −1.14317 + 0.522067i −0.894742 0.446584i \(-0.852641\pi\)
−0.248426 + 0.968651i \(0.579913\pi\)
\(180\) 0.0366786 + 0.158157i 0.00273386 + 0.0117884i
\(181\) 3.54406 + 5.51466i 0.263428 + 0.409901i 0.947620 0.319400i \(-0.103481\pi\)
−0.684192 + 0.729302i \(0.739845\pi\)
\(182\) −2.17707 + 0.249138i −0.161375 + 0.0184673i
\(183\) 10.3978 0.768628
\(184\) 11.7387 6.79722i 0.865391 0.501097i
\(185\) −0.754590 −0.0554786
\(186\) 8.34708 0.955217i 0.612037 0.0700399i
\(187\) −6.47508 10.0754i −0.473505 0.736788i
\(188\) 9.63321 2.23406i 0.702574 0.162935i
\(189\) 0.379896 0.173492i 0.0276333 0.0126197i
\(190\) −0.0701933 0.0858950i −0.00509236 0.00623148i
\(191\) 8.57529 2.51793i 0.620486 0.182191i 0.0436445 0.999047i \(-0.486103\pi\)
0.576842 + 0.816856i \(0.304285\pi\)
\(192\) −7.60402 2.48574i −0.548773 0.179393i
\(193\) 5.75025 12.5913i 0.413912 0.906341i −0.581756 0.813363i \(-0.697634\pi\)
0.995668 0.0929779i \(-0.0296386\pi\)
\(194\) −5.49136 + 3.30918i −0.394257 + 0.237585i
\(195\) 0.227613 0.197228i 0.0162997 0.0141238i
\(196\) 9.51984 9.78401i 0.679989 0.698858i
\(197\) −2.90767 + 9.90262i −0.207163 + 0.705532i 0.788709 + 0.614766i \(0.210750\pi\)
−0.995872 + 0.0907659i \(0.971069\pi\)
\(198\) −4.75848 + 2.00928i −0.338170 + 0.142793i
\(199\) 9.47549 + 6.08953i 0.671699 + 0.431675i 0.831538 0.555468i \(-0.187461\pi\)
−0.159838 + 0.987143i \(0.551097\pi\)
\(200\) −13.1566 5.13588i −0.930312 0.363161i
\(201\) 0.797883 5.54940i 0.0562784 0.391425i
\(202\) −0.153429 + 0.471728i −0.0107952 + 0.0331907i
\(203\) 1.35752 0.195182i 0.0952791 0.0136991i
\(204\) 5.19585 4.00167i 0.363783 0.280173i
\(205\) −0.474482 0.411141i −0.0331393 0.0287154i
\(206\) 4.67634 5.09216i 0.325816 0.354788i
\(207\) 4.65220 + 1.16492i 0.323350 + 0.0809678i
\(208\) 2.51317 + 14.6260i 0.174257 + 1.01413i
\(209\) 2.31111 2.66717i 0.159863 0.184492i
\(210\) 0.00818987 0.0472409i 0.000565154 0.00325993i
\(211\) 5.94714 0.855069i 0.409418 0.0588654i 0.0654709 0.997854i \(-0.479145\pi\)
0.343947 + 0.938989i \(0.388236\pi\)
\(212\) 3.53800 + 6.27371i 0.242991 + 0.430880i
\(213\) 9.25076 + 1.33006i 0.633852 + 0.0911341i
\(214\) −16.1918 7.96698i −1.10685 0.544612i
\(215\) −0.602580 0.387254i −0.0410956 0.0264105i
\(216\) −1.31770 2.50273i −0.0896580 0.170289i
\(217\) −2.38059 0.699005i −0.161605 0.0474515i
\(218\) 0.441510 15.2952i 0.0299028 1.03592i
\(219\) −7.73382 + 6.70139i −0.522603 + 0.452838i
\(220\) −0.118108 + 0.581107i −0.00796285 + 0.0391782i
\(221\) −11.0664 5.05384i −0.744405 0.339958i
\(222\) 12.7150 3.33814i 0.853376 0.224041i
\(223\) 16.6931 4.90154i 1.11785 0.328231i 0.329930 0.944005i \(-0.392975\pi\)
0.787923 + 0.615774i \(0.211157\pi\)
\(224\) 1.78316 + 1.54977i 0.119142 + 0.103549i
\(225\) −2.07434 4.54217i −0.138289 0.302811i
\(226\) 12.2615 + 8.38958i 0.815624 + 0.558066i
\(227\) 4.96071 + 7.71901i 0.329254 + 0.512329i 0.965930 0.258802i \(-0.0833277\pi\)
−0.636677 + 0.771131i \(0.719691\pi\)
\(228\) 1.56276 + 1.13683i 0.103496 + 0.0752885i
\(229\) 1.16837i 0.0772081i 0.999255 + 0.0386041i \(0.0122911\pi\)
−0.999255 + 0.0386041i \(0.987709\pi\)
\(230\) 0.411963 0.365261i 0.0271641 0.0240846i
\(231\) 1.52538 0.100363
\(232\) −1.83642 9.10493i −0.120567 0.597768i
\(233\) 20.9682 13.4755i 1.37368 0.882807i 0.374659 0.927163i \(-0.377760\pi\)
0.999016 + 0.0443552i \(0.0141233\pi\)
\(234\) −2.96284 + 4.33025i −0.193687 + 0.283077i
\(235\) 0.365105 0.166738i 0.0238168 0.0108768i
\(236\) −0.949613 + 16.4350i −0.0618145 + 1.06982i
\(237\) −3.13916 10.6910i −0.203911 0.694456i
\(238\) −1.87325 + 0.491794i −0.121425 + 0.0318783i
\(239\) 4.26306 9.33479i 0.275754 0.603818i −0.720191 0.693776i \(-0.755946\pi\)
0.995946 + 0.0899579i \(0.0286733\pi\)
\(240\) −0.322549 0.0373986i −0.0208204 0.00241407i
\(241\) −7.63040 8.80595i −0.491517 0.567241i 0.454753 0.890618i \(-0.349728\pi\)
−0.946270 + 0.323376i \(0.895182\pi\)
\(242\) −3.30811 0.0954917i −0.212653 0.00613844i
\(243\) 0.281733 0.959493i 0.0180732 0.0615515i
\(244\) −7.00003 + 19.5821i −0.448131 + 1.25361i
\(245\) 0.299560 0.466124i 0.0191382 0.0297796i
\(246\) 9.81395 + 4.82882i 0.625714 + 0.307875i
\(247\) 0.510182 3.54840i 0.0324621 0.225779i
\(248\) −3.82048 + 16.3630i −0.242601 + 1.03905i
\(249\) −1.50782 10.4871i −0.0955540 0.664593i
\(250\) −1.13040 0.195971i −0.0714930 0.0123943i
\(251\) 14.1507 + 12.2616i 0.893184 + 0.773948i 0.974885 0.222709i \(-0.0714898\pi\)
−0.0817011 + 0.996657i \(0.526035\pi\)
\(252\) 0.0709825 + 0.832251i 0.00447147 + 0.0524269i
\(253\) 13.6888 + 10.9289i 0.860605 + 0.687096i
\(254\) −9.50989 + 10.3555i −0.596703 + 0.649762i
\(255\) 0.174317 0.201173i 0.0109162 0.0125979i
\(256\) 9.80055 12.6471i 0.612534 0.790444i
\(257\) 4.10469 + 28.5487i 0.256044 + 1.78082i 0.560358 + 0.828250i \(0.310663\pi\)
−0.304315 + 0.952572i \(0.598427\pi\)
\(258\) 11.8667 + 3.85965i 0.738791 + 0.240291i
\(259\) −3.84265 0.552490i −0.238771 0.0343301i
\(260\) 0.218203 + 0.561439i 0.0135324 + 0.0348189i
\(261\) 1.77541 2.76260i 0.109895 0.171000i
\(262\) −9.13307 + 3.85646i −0.564243 + 0.238253i
\(263\) −11.0888 3.25595i −0.683762 0.200771i −0.0786396 0.996903i \(-0.525058\pi\)
−0.605122 + 0.796132i \(0.706876\pi\)
\(264\) −0.580540 10.3143i −0.0357298 0.634800i
\(265\) 0.191444 + 0.220938i 0.0117603 + 0.0135721i
\(266\) −0.294560 0.488803i −0.0180607 0.0299704i
\(267\) 1.25573 + 0.573471i 0.0768492 + 0.0350959i
\(268\) 9.91397 + 5.23862i 0.605592 + 0.320000i
\(269\) 0.777445 + 2.64774i 0.0474017 + 0.161435i 0.979793 0.200016i \(-0.0640995\pi\)
−0.932391 + 0.361452i \(0.882281\pi\)
\(270\) −0.0726447 0.0888948i −0.00442102 0.00540997i
\(271\) 10.7453 + 23.5290i 0.652733 + 1.42929i 0.889141 + 0.457633i \(0.151302\pi\)
−0.236408 + 0.971654i \(0.575970\pi\)
\(272\) 4.03833 + 12.4793i 0.244860 + 0.756668i
\(273\) 1.30349 0.837705i 0.0788911 0.0507002i
\(274\) −1.72806 15.1005i −0.104396 0.912255i
\(275\) 18.2380i 1.09979i
\(276\) −5.32585 + 7.97718i −0.320578 + 0.480170i
\(277\) 0.0265049i 0.00159252i 1.00000 0.000796262i \(0.000253458\pi\)
−1.00000 0.000796262i \(0.999747\pi\)
\(278\) 24.1014 2.75810i 1.44551 0.165420i
\(279\) −4.99772 + 3.21184i −0.299205 + 0.192288i
\(280\) 0.0834547 + 0.0472275i 0.00498737 + 0.00282238i
\(281\) 8.50823 + 18.6304i 0.507558 + 1.11140i 0.973938 + 0.226813i \(0.0728306\pi\)
−0.466380 + 0.884584i \(0.654442\pi\)
\(282\) −5.41449 + 4.42472i −0.322428 + 0.263488i
\(283\) 5.20722 + 17.7342i 0.309537 + 1.05419i 0.956516 + 0.291679i \(0.0942138\pi\)
−0.646979 + 0.762508i \(0.723968\pi\)
\(284\) −8.73269 + 16.5264i −0.518190 + 0.980663i
\(285\) 0.0713498 + 0.0325843i 0.00422640 + 0.00193013i
\(286\) −16.4138 + 9.89119i −0.970566 + 0.584879i
\(287\) −2.11521 2.44109i −0.124857 0.144093i
\(288\) 5.60047 0.796710i 0.330011 0.0469466i
\(289\) 5.99438 + 1.76011i 0.352610 + 0.103536i
\(290\) −0.146651 0.347307i −0.00861165 0.0203946i
\(291\) 2.45101 3.81385i 0.143681 0.223572i
\(292\) −7.41408 19.0765i −0.433876 1.11637i
\(293\) 24.2588 + 3.48789i 1.41721 + 0.203764i 0.807972 0.589221i \(-0.200565\pi\)
0.609241 + 0.792985i \(0.291474\pi\)
\(294\) −2.98562 + 9.17950i −0.174125 + 0.535359i
\(295\) 0.0950928 + 0.661385i 0.00553652 + 0.0385073i
\(296\) −2.27334 + 26.1934i −0.132135 + 1.52246i
\(297\) 2.39183 2.76031i 0.138788 0.160170i
\(298\) 6.65596 + 6.11244i 0.385570 + 0.354084i
\(299\) 17.6994 + 1.82161i 1.02359 + 0.105347i
\(300\) 9.95069 0.848691i 0.574504 0.0489992i
\(301\) −2.78502 2.41324i −0.160526 0.139097i
\(302\) −3.15933 + 18.2237i −0.181799 + 1.04866i
\(303\) −0.0499186 0.347192i −0.00286775 0.0199456i
\(304\) −3.19306 + 2.17778i −0.183135 + 0.124904i
\(305\) −0.120123 + 0.835476i −0.00687824 + 0.0478392i
\(306\) −2.04734 + 4.16095i −0.117039 + 0.237866i
\(307\) 11.4266 17.7801i 0.652150 1.01477i −0.344947 0.938622i \(-0.612103\pi\)
0.997097 0.0761431i \(-0.0242606\pi\)
\(308\) −1.02692 + 2.87274i −0.0585142 + 0.163689i
\(309\) −1.37730 + 4.69065i −0.0783517 + 0.266842i
\(310\) −0.0196789 + 0.681733i −0.00111768 + 0.0387198i
\(311\) 5.19068 + 5.99036i 0.294336 + 0.339682i 0.883586 0.468269i \(-0.155122\pi\)
−0.589250 + 0.807951i \(0.700577\pi\)
\(312\) −6.16045 8.49510i −0.348767 0.480940i
\(313\) 11.6598 25.5315i 0.659053 1.44312i −0.224350 0.974509i \(-0.572026\pi\)
0.883402 0.468615i \(-0.155247\pi\)
\(314\) −8.19940 31.2316i −0.462719 1.76250i
\(315\) 0.00955148 + 0.0325294i 0.000538165 + 0.00183282i
\(316\) 22.2476 + 1.28547i 1.25153 + 0.0723132i
\(317\) −19.1193 + 8.73150i −1.07385 + 0.490410i −0.872251 0.489059i \(-0.837340\pi\)
−0.201597 + 0.979469i \(0.564613\pi\)
\(318\) −4.20326 2.87595i −0.235707 0.161275i
\(319\) 10.0902 6.48455i 0.564940 0.363065i
\(320\) 0.287579 0.582275i 0.0160762 0.0325501i
\(321\) 12.7603 0.712208
\(322\) 2.36530 1.55842i 0.131813 0.0868472i
\(323\) 3.16845i 0.176298i
\(324\) 1.61733 + 1.17653i 0.0898518 + 0.0653630i
\(325\) −10.0159 15.5850i −0.555582 0.864502i
\(326\) 1.03219 1.50856i 0.0571676 0.0835515i
\(327\) 4.49471 + 9.84205i 0.248558 + 0.544267i
\(328\) −15.7010 + 15.2316i −0.866944 + 0.841025i
\(329\) 1.98133 0.581771i 0.109234 0.0320741i
\(330\) −0.106474 0.405562i −0.00586122 0.0223254i
\(331\) 8.39818 + 3.83532i 0.461606 + 0.210808i 0.632623 0.774460i \(-0.281978\pi\)
−0.171018 + 0.985268i \(0.554705\pi\)
\(332\) 20.7653 + 4.22049i 1.13965 + 0.231629i
\(333\) −7.02512 + 6.08730i −0.384974 + 0.333582i
\(334\) −1.87844 0.0542231i −0.102784 0.00296695i
\(335\) 0.436683 + 0.128222i 0.0238585 + 0.00700550i
\(336\) −1.61516 0.426609i −0.0881140 0.0232734i
\(337\) 6.73140 + 4.32601i 0.366683 + 0.235653i 0.710987 0.703206i \(-0.248249\pi\)
−0.344304 + 0.938858i \(0.611885\pi\)
\(338\) −0.477463 + 0.970381i −0.0259706 + 0.0527818i
\(339\) −10.3985 1.49508i −0.564771 0.0812019i
\(340\) 0.261512 + 0.463723i 0.0141825 + 0.0251489i
\(341\) −21.4774 + 3.08799i −1.16307 + 0.167224i
\(342\) −1.34641 0.233418i −0.0728054 0.0126218i
\(343\) 3.78121 4.36375i 0.204166 0.235620i
\(344\) −15.2578 + 19.7501i −0.822644 + 1.06485i
\(345\) −0.147349 + 0.360351i −0.00793298 + 0.0194007i
\(346\) 12.2829 + 11.2799i 0.660332 + 0.606410i
\(347\) 13.9472 + 12.0853i 0.748723 + 0.648772i 0.943234 0.332128i \(-0.107767\pi\)
−0.194511 + 0.980900i \(0.562312\pi\)
\(348\) 4.00752 + 5.20345i 0.214825 + 0.278934i
\(349\) −21.6980 + 3.11970i −1.16147 + 0.166994i −0.695980 0.718062i \(-0.745030\pi\)
−0.465486 + 0.885055i \(0.654121\pi\)
\(350\) −2.80463 0.912202i −0.149914 0.0487593i
\(351\) 0.528000 3.67232i 0.0281826 0.196014i
\(352\) 19.8156 + 5.85047i 1.05617 + 0.311831i
\(353\) −17.8282 11.4575i −0.948901 0.609822i −0.0279957 0.999608i \(-0.508912\pi\)
−0.920905 + 0.389786i \(0.872549\pi\)
\(354\) −4.52816 10.7238i −0.240669 0.569965i
\(355\) −0.213743 + 0.727943i −0.0113443 + 0.0386352i
\(356\) −1.92539 + 1.97882i −0.102046 + 0.104877i
\(357\) 1.03498 0.896816i 0.0547770 0.0474645i
\(358\) 12.2731 + 20.3664i 0.648655 + 1.07640i
\(359\) −1.37581 + 3.01260i −0.0726123 + 0.158999i −0.942457 0.334326i \(-0.891491\pi\)
0.869845 + 0.493325i \(0.164219\pi\)
\(360\) 0.216321 0.0769651i 0.0114011 0.00405641i
\(361\) −17.3345 + 5.08988i −0.912344 + 0.267888i
\(362\) 7.17849 5.86625i 0.377293 0.308323i
\(363\) 2.12868 0.972138i 0.111727 0.0510240i
\(364\) 0.700099 + 3.01882i 0.0366952 + 0.158229i
\(365\) −0.449118 0.698841i −0.0235079 0.0365790i
\(366\) −1.67186 14.6094i −0.0873895 0.763644i
\(367\) 17.4284 0.909755 0.454877 0.890554i \(-0.349683\pi\)
0.454877 + 0.890554i \(0.349683\pi\)
\(368\) −11.4378 15.4005i −0.596239 0.802807i
\(369\) −7.73405 −0.402619
\(370\) 0.121330 + 1.06023i 0.00630765 + 0.0551188i
\(371\) 0.813138 + 1.26527i 0.0422160 + 0.0656894i
\(372\) −2.68424 11.5744i −0.139172 0.600105i
\(373\) −6.87640 + 3.14035i −0.356047 + 0.162601i −0.585405 0.810741i \(-0.699064\pi\)
0.229358 + 0.973342i \(0.426337\pi\)
\(374\) −13.1153 + 10.7178i −0.678175 + 0.554204i
\(375\) 0.778378 0.228553i 0.0401953 0.0118024i
\(376\) −4.68786 13.1759i −0.241758 0.679493i
\(377\) 5.06123 11.0826i 0.260667 0.570781i
\(378\) −0.304848 0.505874i −0.0156797 0.0260193i
\(379\) 3.54656 3.07311i 0.182174 0.157855i −0.559000 0.829168i \(-0.688815\pi\)
0.741174 + 0.671313i \(0.234269\pi\)
\(380\) −0.109400 + 0.112436i −0.00561210 + 0.00576783i
\(381\) 2.80090 9.53898i 0.143494 0.488697i
\(382\) −4.91662 11.6438i −0.251556 0.595749i
\(383\) −25.8124 16.5886i −1.31895 0.847639i −0.323814 0.946121i \(-0.604965\pi\)
−0.995139 + 0.0984816i \(0.968601\pi\)
\(384\) −2.26992 + 11.0837i −0.115836 + 0.565611i
\(385\) −0.0176224 + 0.122566i −0.000898119 + 0.00624656i
\(386\) −18.6159 6.05481i −0.947524 0.308181i
\(387\) −8.73392 + 1.25575i −0.443970 + 0.0638333i
\(388\) 5.53250 + 7.18352i 0.280870 + 0.364688i
\(389\) −15.9604 13.8298i −0.809226 0.701198i 0.148490 0.988914i \(-0.452559\pi\)
−0.957716 + 0.287716i \(0.907104\pi\)
\(390\) −0.313711 0.288094i −0.0158854 0.0145882i
\(391\) 15.7133 0.632671i 0.794657 0.0319956i
\(392\) −15.2776 11.8026i −0.771638 0.596122i
\(393\) 4.59069 5.29794i 0.231570 0.267246i
\(394\) 14.3811 + 2.49317i 0.724511 + 0.125604i
\(395\) 0.895301 0.128725i 0.0450475 0.00647685i
\(396\) 3.58824 + 6.36280i 0.180316 + 0.319743i
\(397\) −15.2976 2.19946i −0.767763 0.110388i −0.252705 0.967543i \(-0.581320\pi\)
−0.515057 + 0.857156i \(0.672229\pi\)
\(398\) 7.03249 14.2926i 0.352507 0.716423i
\(399\) 0.339482 + 0.218172i 0.0169954 + 0.0109223i
\(400\) −5.10069 + 19.3114i −0.255034 + 0.965569i
\(401\) −7.00943 2.05815i −0.350034 0.102779i 0.101989 0.994786i \(-0.467479\pi\)
−0.452023 + 0.892006i \(0.649298\pi\)
\(402\) −7.92544 0.228775i −0.395285 0.0114103i
\(403\) −16.6574 + 14.4337i −0.829762 + 0.718993i
\(404\) 0.687468 + 0.139726i 0.0342028 + 0.00695161i
\(405\) 0.0738416 + 0.0337223i 0.00366922 + 0.00167568i
\(406\) −0.492513 1.87599i −0.0244430 0.0931038i
\(407\) −32.5760 + 9.56518i −1.61473 + 0.474129i
\(408\) −6.45795 6.65697i −0.319716 0.329569i
\(409\) 4.50641 + 9.86765i 0.222827 + 0.487924i 0.987720 0.156234i \(-0.0499353\pi\)
−0.764893 + 0.644158i \(0.777208\pi\)
\(410\) −0.501380 + 0.732776i −0.0247614 + 0.0361892i
\(411\) 5.81046 + 9.04126i 0.286609 + 0.445972i
\(412\) −7.90661 5.75169i −0.389531 0.283366i
\(413\) 3.43764i 0.169155i
\(414\) 0.888743 6.72385i 0.0436794 0.330459i
\(415\) 0.860070 0.0422192
\(416\) 20.1461 5.88282i 0.987742 0.288429i
\(417\) −14.4304 + 9.27388i −0.706662 + 0.454144i
\(418\) −4.11909 2.81836i −0.201471 0.137851i
\(419\) 1.17137 0.534946i 0.0572251 0.0261338i −0.386597 0.922249i \(-0.626350\pi\)
0.443822 + 0.896115i \(0.353622\pi\)
\(420\) −0.0676924 0.00391127i −0.00330305 0.000190851i
\(421\) −3.78079 12.8762i −0.184265 0.627548i −0.998870 0.0475317i \(-0.984864\pi\)
0.814605 0.580016i \(-0.196954\pi\)
\(422\) −2.15765 8.21850i −0.105033 0.400070i
\(423\) 2.05399 4.49762i 0.0998685 0.218682i
\(424\) 8.24597 5.97979i 0.400459 0.290404i
\(425\) −10.7226 12.3746i −0.520125 0.600256i
\(426\) 0.381365 13.2116i 0.0184772 0.640103i
\(427\) −1.22343 + 4.16660i −0.0592057 + 0.201636i
\(428\) −8.59048 + 24.0312i −0.415236 + 1.16159i
\(429\) 7.32610 11.3996i 0.353708 0.550380i
\(430\) −0.447221 + 0.908917i −0.0215669 + 0.0438319i
\(431\) −2.31149 + 16.0768i −0.111341 + 0.774391i 0.855278 + 0.518170i \(0.173387\pi\)
−0.966618 + 0.256221i \(0.917522\pi\)
\(432\) −3.30458 + 2.25384i −0.158992 + 0.108438i
\(433\) −2.67096 18.5769i −0.128358 0.892749i −0.947636 0.319353i \(-0.896535\pi\)
0.819278 0.573397i \(-0.194375\pi\)
\(434\) −0.599358 + 3.45723i −0.0287701 + 0.165952i
\(435\) 0.201467 + 0.174572i 0.00965959 + 0.00837009i
\(436\) −21.5614 + 1.83896i −1.03260 + 0.0880703i
\(437\) 1.48337 + 4.39016i 0.0709591 + 0.210010i
\(438\) 10.6593 + 9.78884i 0.509319 + 0.467729i
\(439\) −9.22337 + 10.6443i −0.440207 + 0.508026i −0.931886 0.362750i \(-0.881838\pi\)
0.491679 + 0.870776i \(0.336383\pi\)
\(440\) 0.835471 + 0.0725112i 0.0398295 + 0.00345683i
\(441\) −0.971381 6.75611i −0.0462563 0.321719i
\(442\) −5.32151 + 16.3613i −0.253119 + 0.778230i
\(443\) 35.0848 + 5.04444i 1.66693 + 0.239669i 0.910233 0.414096i \(-0.135902\pi\)
0.756698 + 0.653764i \(0.226811\pi\)
\(444\) −6.73468 17.3284i −0.319614 0.822370i
\(445\) −0.0605861 + 0.0942739i −0.00287206 + 0.00446901i
\(446\) −9.57095 22.6664i −0.453197 1.07329i
\(447\) −6.13115 1.80027i −0.289993 0.0851497i
\(448\) 1.89079 2.75460i 0.0893312 0.130143i
\(449\) 9.08480 + 10.4844i 0.428738 + 0.494790i 0.928479 0.371385i \(-0.121117\pi\)
−0.499741 + 0.866175i \(0.666571\pi\)
\(450\) −6.04841 + 3.64487i −0.285125 + 0.171821i
\(451\) −25.6953 11.7346i −1.20994 0.552563i
\(452\) 9.81620 18.5769i 0.461715 0.873785i
\(453\) −3.68459 12.5486i −0.173117 0.589583i
\(454\) 10.0479 8.21115i 0.471572 0.385368i
\(455\) 0.0522516 + 0.114415i 0.00244959 + 0.00536386i
\(456\) 1.34602 2.37853i 0.0630333 0.111385i
\(457\) 30.4756 19.5855i 1.42559 0.916171i 0.425654 0.904886i \(-0.360044\pi\)
0.999936 0.0112848i \(-0.00359215\pi\)
\(458\) 1.64161 0.187862i 0.0767075 0.00877820i
\(459\) 3.27911i 0.153056i
\(460\) −0.579447 0.520096i −0.0270169 0.0242496i
\(461\) 34.9091i 1.62588i 0.582349 + 0.812939i \(0.302134\pi\)
−0.582349 + 0.812939i \(0.697866\pi\)
\(462\) −0.245266 2.14323i −0.0114108 0.0997121i
\(463\) −29.4229 + 18.9090i −1.36740 + 0.878775i −0.998710 0.0507774i \(-0.983830\pi\)
−0.368690 + 0.929552i \(0.620194\pi\)
\(464\) −12.4975 + 4.04423i −0.580184 + 0.187749i
\(465\) −0.200337 0.438678i −0.00929042 0.0203432i
\(466\) −22.3051 27.2946i −1.03326 1.26440i
\(467\) 1.46374 + 4.98503i 0.0677337 + 0.230680i 0.986402 0.164350i \(-0.0525526\pi\)
−0.918668 + 0.395029i \(0.870734\pi\)
\(468\) 6.56058 + 3.46666i 0.303263 + 0.160246i
\(469\) 2.12987 + 0.972680i 0.0983483 + 0.0449142i
\(470\) −0.292979 0.486178i −0.0135141 0.0224257i
\(471\) 14.9521 + 17.2556i 0.688956 + 0.795097i
\(472\) 23.2445 1.30832i 1.06992 0.0602204i
\(473\) −30.9225 9.07966i −1.42182 0.417483i
\(474\) −14.5166 + 6.12966i −0.666769 + 0.281545i
\(475\) 2.60854 4.05897i 0.119688 0.186238i
\(476\) 0.992191 + 2.55292i 0.0454770 + 0.117013i
\(477\) 3.56463 + 0.512516i 0.163213 + 0.0234665i
\(478\) −13.8012 4.48884i −0.631254 0.205315i
\(479\) 0.778949 + 5.41771i 0.0355911 + 0.247541i 0.999848 0.0174271i \(-0.00554751\pi\)
−0.964257 + 0.264969i \(0.914638\pi\)
\(480\) −0.000684257 0.459208i −3.12319e−5 0.0209599i
\(481\) −22.5844 + 26.0638i −1.02976 + 1.18841i
\(482\) −11.1459 + 12.1370i −0.507680 + 0.552823i
\(483\) −1.01419 + 1.72716i −0.0461474 + 0.0785884i
\(484\) 0.397739 + 4.66339i 0.0180790 + 0.211972i
\(485\) 0.278131 + 0.241002i 0.0126293 + 0.0109433i
\(486\) −1.39343 0.241570i −0.0632072 0.0109578i
\(487\) 4.61813 + 32.1198i 0.209268 + 1.45549i 0.775555 + 0.631280i \(0.217470\pi\)
−0.566287 + 0.824208i \(0.691621\pi\)
\(488\) 28.6392 + 6.68675i 1.29644 + 0.302695i
\(489\) −0.183944 + 1.27936i −0.00831821 + 0.0578544i
\(490\) −0.703091 0.345947i −0.0317624 0.0156283i
\(491\) 7.55992 11.7635i 0.341175 0.530878i −0.627692 0.778462i \(-0.716000\pi\)
0.968866 + 0.247584i \(0.0796366\pi\)
\(492\) 5.20673 14.5654i 0.234737 0.656661i
\(493\) 3.03377 10.3321i 0.136634 0.465334i
\(494\) −5.06768 0.146284i −0.228006 0.00658161i
\(495\) 0.194162 + 0.224075i 0.00872694 + 0.0100714i
\(496\) 23.6050 + 2.73694i 1.05990 + 0.122892i
\(497\) −1.62144 + 3.55046i −0.0727316 + 0.159260i
\(498\) −14.4924 + 3.80476i −0.649419 + 0.170496i
\(499\) −3.22165 10.9719i −0.144221 0.491171i 0.855421 0.517933i \(-0.173299\pi\)
−0.999642 + 0.0267621i \(0.991480\pi\)
\(500\) −0.0935908 + 1.61978i −0.00418551 + 0.0724386i
\(501\) 1.20873 0.552009i 0.0540021 0.0246619i
\(502\) 14.9529 21.8539i 0.667379 0.975387i
\(503\) 27.4202 17.6219i 1.22260 0.785720i 0.239881 0.970802i \(-0.422891\pi\)
0.982723 + 0.185082i \(0.0592551\pi\)
\(504\) 1.15794 0.233551i 0.0515786 0.0104032i
\(505\) 0.0284739 0.00126707
\(506\) 13.1546 20.9906i 0.584794 0.933144i
\(507\) 0.764726i 0.0339627i
\(508\) 16.0790 + 11.6967i 0.713391 + 0.518959i
\(509\) −11.5640 17.9940i −0.512567 0.797570i 0.484445 0.874822i \(-0.339022\pi\)
−0.997012 + 0.0772523i \(0.975385\pi\)
\(510\) −0.310685 0.212577i −0.0137574 0.00941305i
\(511\) −1.77540 3.88759i −0.0785392 0.171977i
\(512\) −19.3456 11.7367i −0.854961 0.518692i
\(513\) 0.927115 0.272225i 0.0409331 0.0120190i
\(514\) 39.4522 10.3576i 1.74016 0.456854i
\(515\) −0.360987 0.164857i −0.0159070 0.00726448i
\(516\) 3.51493 17.2939i 0.154736 0.761321i
\(517\) 13.6482 11.8262i 0.600247 0.520117i
\(518\) −0.158414 + 5.48793i −0.00696032 + 0.241126i
\(519\) −11.3144 3.32220i −0.496646 0.145829i
\(520\) 0.753761 0.396858i 0.0330546 0.0174034i
\(521\) −26.0516 16.7423i −1.14134 0.733495i −0.173444 0.984844i \(-0.555490\pi\)
−0.967897 + 0.251349i \(0.919126\pi\)
\(522\) −4.16703 2.05033i −0.182386 0.0897407i
\(523\) 36.2445 + 5.21117i 1.58486 + 0.227868i 0.877709 0.479195i \(-0.159071\pi\)
0.707151 + 0.707063i \(0.249980\pi\)
\(524\) 6.88699 + 12.2123i 0.300860 + 0.533496i
\(525\) 2.06420 0.296788i 0.0900892 0.0129529i
\(526\) −2.79180 + 16.1037i −0.121728 + 0.702155i
\(527\) −12.7570 + 14.7224i −0.555705 + 0.641318i
\(528\) −14.3987 + 2.47411i −0.626621 + 0.107672i
\(529\) −21.4759 + 8.23309i −0.933737 + 0.357960i
\(530\) 0.279645 0.304511i 0.0121470 0.0132271i
\(531\) 6.22071 + 5.39028i 0.269956 + 0.233918i
\(532\) −0.639427 + 0.492465i −0.0277227 + 0.0213510i
\(533\) −28.4019 + 4.08358i −1.23022 + 0.176879i
\(534\) 0.603844 1.85656i 0.0261309 0.0803411i
\(535\) −0.147416 + 1.02530i −0.00637335 + 0.0443276i
\(536\) 5.76643 14.7719i 0.249072 0.638047i
\(537\) −14.1448 9.09033i −0.610394 0.392277i
\(538\) 3.59518 1.51807i 0.154999 0.0654487i
\(539\) 7.02356 23.9200i 0.302526 1.03031i
\(540\) −0.113221 + 0.116362i −0.00487224 + 0.00500744i
\(541\) −8.03192 + 6.95970i −0.345319 + 0.299221i −0.810201 0.586152i \(-0.800642\pi\)
0.464882 + 0.885373i \(0.346097\pi\)
\(542\) 31.3316 18.8809i 1.34581 0.811004i
\(543\) −2.72317 + 5.96290i −0.116862 + 0.255893i
\(544\) 16.8846 7.68057i 0.723923 0.329302i
\(545\) −0.842746 + 0.247453i −0.0360993 + 0.0105997i
\(546\) −1.38660 1.69677i −0.0593410 0.0726151i
\(547\) −35.4106 + 16.1715i −1.51405 + 0.691442i −0.987342 0.158606i \(-0.949300\pi\)
−0.526705 + 0.850048i \(0.676573\pi\)
\(548\) −20.9390 + 4.85601i −0.894471 + 0.207438i
\(549\) 5.62148 + 8.74720i 0.239919 + 0.373321i
\(550\) −25.6252 + 2.93248i −1.09266 + 0.125041i
\(551\) 3.17309 0.135178
\(552\) 12.0646 + 6.20040i 0.513504 + 0.263906i
\(553\) 4.65345 0.197885
\(554\) 0.0372405 0.00426170i 0.00158220 0.000181062i
\(555\) −0.407962 0.634801i −0.0173170 0.0269458i
\(556\) −7.75050 33.4200i −0.328695 1.41733i
\(557\) 28.8649 13.1821i 1.22304 0.558545i 0.303989 0.952676i \(-0.401681\pi\)
0.919055 + 0.394130i \(0.128954\pi\)
\(558\) 5.31635 + 6.50558i 0.225059 + 0.275403i
\(559\) −31.4107 + 9.22302i −1.32853 + 0.390092i
\(560\) 0.0529380 0.124851i 0.00223704 0.00527592i
\(561\) 4.97529 10.8944i 0.210057 0.459961i
\(562\) 24.8085 14.9500i 1.04648 0.630628i
\(563\) 24.0353 20.8267i 1.01297 0.877740i 0.0204425 0.999791i \(-0.493493\pi\)
0.992524 + 0.122051i \(0.0389470\pi\)
\(564\) 7.08751 + 6.89615i 0.298438 + 0.290380i
\(565\) 0.240264 0.818263i 0.0101080 0.0344246i
\(566\) 24.0800 10.1678i 1.01216 0.427386i
\(567\) 0.351338 + 0.225791i 0.0147548 + 0.00948234i
\(568\) 24.6245 + 9.61254i 1.03322 + 0.403333i
\(569\) −5.81034 + 40.4118i −0.243582 + 1.69415i 0.390272 + 0.920700i \(0.372381\pi\)
−0.633854 + 0.773453i \(0.718528\pi\)
\(570\) 0.0343101 0.105489i 0.00143709 0.00441844i
\(571\) 11.4283 1.64314i 0.478260 0.0687634i 0.101031 0.994883i \(-0.467786\pi\)
0.377229 + 0.926120i \(0.376877\pi\)
\(572\) 16.5367 + 21.4716i 0.691435 + 0.897775i
\(573\) 6.75437 + 5.85270i 0.282168 + 0.244500i
\(574\) −3.08973 + 3.36447i −0.128963 + 0.140430i
\(575\) 20.6505 + 12.1261i 0.861186 + 0.505691i
\(576\) −2.01991 7.74080i −0.0841629 0.322533i
\(577\) 14.8710 17.1620i 0.619086 0.714463i −0.356447 0.934315i \(-0.616012\pi\)
0.975533 + 0.219852i \(0.0705575\pi\)
\(578\) 1.50920 8.70537i 0.0627742 0.362096i
\(579\) 13.7013 1.96995i 0.569406 0.0818683i
\(580\) −0.464401 + 0.261894i −0.0192832 + 0.0108746i
\(581\) 4.37980 + 0.629719i 0.181705 + 0.0261252i
\(582\) −5.75271 2.83055i −0.238458 0.117330i
\(583\) 11.0653 + 7.11126i 0.458279 + 0.294518i
\(584\) −25.6112 + 13.4844i −1.05980 + 0.557989i
\(585\) 0.288975 + 0.0848508i 0.0119477 + 0.00350815i
\(586\) 1.00007 34.6454i 0.0413127 1.43119i
\(587\) 1.78630 1.54784i 0.0737285 0.0638861i −0.617217 0.786793i \(-0.711740\pi\)
0.690945 + 0.722907i \(0.257194\pi\)
\(588\) 13.3776 + 2.71896i 0.551685 + 0.112128i
\(589\) −5.22158 2.38462i −0.215151 0.0982564i
\(590\) 0.913985 0.239953i 0.0376282 0.00987872i
\(591\) −9.90262 + 2.90767i −0.407339 + 0.119606i
\(592\) 37.1683 1.01747i 1.52761 0.0418178i
\(593\) 9.15153 + 20.0391i 0.375808 + 0.822906i 0.999161 + 0.0409645i \(0.0130431\pi\)
−0.623352 + 0.781941i \(0.714230\pi\)
\(594\) −4.26294 2.91679i −0.174911 0.119677i
\(595\) 0.0601033 + 0.0935226i 0.00246400 + 0.00383405i
\(596\) 7.51804 10.3347i 0.307951 0.423327i
\(597\) 11.2635i 0.460986i
\(598\) −0.286441 25.1614i −0.0117135 1.02893i
\(599\) −36.0652 −1.47358 −0.736792 0.676119i \(-0.763660\pi\)
−0.736792 + 0.676119i \(0.763660\pi\)
\(600\) −2.79242 13.8447i −0.114000 0.565207i
\(601\) −11.6410 + 7.48121i −0.474846 + 0.305165i −0.756086 0.654473i \(-0.772891\pi\)
0.281240 + 0.959637i \(0.409254\pi\)
\(602\) −2.94290 + 4.30110i −0.119944 + 0.175300i
\(603\) 5.09982 2.32901i 0.207681 0.0948446i
\(604\) 26.1131 + 1.50882i 1.06253 + 0.0613928i
\(605\) 0.0535202 + 0.182273i 0.00217591 + 0.00741046i
\(606\) −0.479793 + 0.125963i −0.0194903 + 0.00511688i
\(607\) −0.953205 + 2.08723i −0.0386894 + 0.0847179i −0.927990 0.372605i \(-0.878465\pi\)
0.889301 + 0.457323i \(0.151192\pi\)
\(608\) 3.57328 + 4.13623i 0.144916 + 0.167746i
\(609\) 0.898127 + 1.03649i 0.0363939 + 0.0420008i
\(610\) 1.19319 + 0.0344427i 0.0483110 + 0.00139454i
\(611\) 5.16818 17.6012i 0.209082 0.712068i
\(612\) 6.17551 + 2.20757i 0.249630 + 0.0892356i
\(613\) −3.45864 + 5.38175i −0.139693 + 0.217367i −0.904050 0.427426i \(-0.859420\pi\)
0.764357 + 0.644794i \(0.223057\pi\)
\(614\) −26.8191 13.1960i −1.08233 0.532547i
\(615\) 0.0893496 0.621440i 0.00360292 0.0250589i
\(616\) 4.20144 + 0.980962i 0.169281 + 0.0395241i
\(617\) 0.742587 + 5.16480i 0.0298954 + 0.207927i 0.999294 0.0375641i \(-0.0119598\pi\)
−0.969399 + 0.245491i \(0.921051\pi\)
\(618\) 6.81202 + 1.18096i 0.274019 + 0.0475050i
\(619\) −12.1510 10.5289i −0.488390 0.423193i 0.375538 0.926807i \(-0.377458\pi\)
−0.863929 + 0.503614i \(0.832003\pi\)
\(620\) 0.961028 0.0819658i 0.0385958 0.00329182i
\(621\) 1.53517 + 4.54348i 0.0616044 + 0.182324i
\(622\) 7.58211 8.25631i 0.304015 0.331048i
\(623\) −0.377552 + 0.435718i −0.0151263 + 0.0174567i
\(624\) −10.9454 + 10.0216i −0.438168 + 0.401186i
\(625\) −3.54381 24.6477i −0.141752 0.985910i
\(626\) −37.7476 12.2774i −1.50870 0.490703i
\(627\) 3.49324 + 0.502253i 0.139507 + 0.0200580i
\(628\) −42.5634 + 16.5422i −1.69846 + 0.660106i
\(629\) −16.4794 + 25.6424i −0.657075 + 1.02243i
\(630\) 0.0441694 0.0186506i 0.00175975 0.000743059i
\(631\) −35.1839 10.3309i −1.40065 0.411267i −0.507741 0.861510i \(-0.669519\pi\)
−0.892906 + 0.450243i \(0.851338\pi\)
\(632\) −1.77104 31.4655i −0.0704483 1.25163i
\(633\) 3.93460 + 4.54077i 0.156386 + 0.180479i
\(634\) 15.3423 + 25.4595i 0.609321 + 1.01113i
\(635\) 0.734110 + 0.335257i 0.0291323 + 0.0133043i
\(636\) −3.36500 + 6.36818i −0.133431 + 0.252515i
\(637\) −7.13445 24.2977i −0.282677 0.962710i
\(638\) −10.7335 13.1345i −0.424942 0.519998i
\(639\) 3.88242 + 8.50132i 0.153586 + 0.336307i
\(640\) −0.864361 0.310438i −0.0341669 0.0122711i
\(641\) 18.8145 12.0914i 0.743130 0.477581i −0.113483 0.993540i \(-0.536201\pi\)
0.856613 + 0.515959i \(0.172564\pi\)
\(642\) −2.05171 17.9287i −0.0809747 0.707590i
\(643\) 28.4271i 1.12105i −0.828136 0.560527i \(-0.810599\pi\)
0.828136 0.560527i \(-0.189401\pi\)
\(644\) −2.56996 3.07278i −0.101271 0.121084i
\(645\) 0.716288i 0.0282038i
\(646\) −4.45182 + 0.509454i −0.175154 + 0.0200442i
\(647\) −21.3128 + 13.6969i −0.837894 + 0.538482i −0.887777 0.460273i \(-0.847751\pi\)
0.0498835 + 0.998755i \(0.484115\pi\)
\(648\) 1.39303 2.46160i 0.0547235 0.0967007i
\(649\) 12.4889 + 27.3469i 0.490233 + 1.07346i
\(650\) −20.2872 + 16.5787i −0.795730 + 0.650269i
\(651\) −0.699005 2.38059i −0.0273962 0.0933027i
\(652\) −2.28556 1.20771i −0.0895094 0.0472975i
\(653\) 16.6957 + 7.62469i 0.653355 + 0.298377i 0.714379 0.699759i \(-0.246709\pi\)
−0.0610238 + 0.998136i \(0.519437\pi\)
\(654\) 13.1058 7.89777i 0.512478 0.308827i
\(655\) 0.372660 + 0.430073i 0.0145610 + 0.0168043i
\(656\) 23.9256 + 19.6115i 0.934139 + 0.765702i
\(657\) −9.81879 2.88306i −0.383068 0.112479i
\(658\) −1.13599 2.69031i −0.0442855 0.104879i
\(659\) −21.4861 + 33.4331i −0.836981 + 1.30237i 0.114114 + 0.993468i \(0.463597\pi\)
−0.951095 + 0.308899i \(0.900039\pi\)
\(660\) −0.552712 + 0.214811i −0.0215143 + 0.00836151i
\(661\) −33.0372 4.75003i −1.28500 0.184755i −0.534240 0.845333i \(-0.679402\pi\)
−0.750758 + 0.660578i \(0.770311\pi\)
\(662\) 4.03845 12.4165i 0.156959 0.482580i
\(663\) −1.73137 12.0419i −0.0672408 0.467670i
\(664\) 2.59112 29.8548i 0.100555 1.15859i
\(665\) −0.0214523 + 0.0247573i −0.000831885 + 0.000960047i
\(666\) 9.68248 + 8.89182i 0.375189 + 0.344551i
\(667\) 0.633596 + 15.7363i 0.0245329 + 0.609312i
\(668\) 0.225848 + 2.64801i 0.00873832 + 0.102455i
\(669\) 13.1484 + 11.3932i 0.508347 + 0.440485i
\(670\) 0.109943 0.634175i 0.00424747 0.0245003i
\(671\) 5.40471 + 37.5906i 0.208647 + 1.45117i
\(672\) −0.339704 + 2.33796i −0.0131044 + 0.0901887i
\(673\) 5.58393 38.8371i 0.215245 1.49706i −0.540027 0.841648i \(-0.681586\pi\)
0.755271 0.655412i \(-0.227505\pi\)
\(674\) 4.99589 10.1535i 0.192434 0.391098i
\(675\) 2.69964 4.20072i 0.103909 0.161686i
\(676\) 1.44020 + 0.514830i 0.0553923 + 0.0198011i
\(677\) 10.5351 35.8792i 0.404896 1.37895i −0.464825 0.885403i \(-0.653883\pi\)
0.869720 0.493545i \(-0.164299\pi\)
\(678\) −0.428683 + 14.8508i −0.0164635 + 0.570341i
\(679\) 1.23989 + 1.43091i 0.0475827 + 0.0549133i
\(680\) 0.609503 0.441998i 0.0233734 0.0169498i
\(681\) −3.81169 + 8.34643i −0.146064 + 0.319836i
\(682\) 7.79210 + 29.6802i 0.298375 + 1.13651i
\(683\) 8.47249 + 28.8546i 0.324191 + 1.10409i 0.946870 + 0.321615i \(0.104226\pi\)
−0.622680 + 0.782477i \(0.713956\pi\)
\(684\) −0.111475 + 1.92929i −0.00426234 + 0.0737683i
\(685\) −0.793602 + 0.362426i −0.0303220 + 0.0138476i
\(686\) −6.73923 4.61112i −0.257305 0.176053i
\(687\) −0.982896 + 0.631669i −0.0374998 + 0.0240997i
\(688\) 30.2030 + 18.2622i 1.15148 + 0.696241i
\(689\) 13.3611 0.509016
\(690\) 0.530002 + 0.149090i 0.0201768 + 0.00567578i
\(691\) 1.73578i 0.0660321i −0.999455 0.0330161i \(-0.989489\pi\)
0.999455 0.0330161i \(-0.0105112\pi\)
\(692\) 13.8738 19.0717i 0.527401 0.724996i
\(693\) 0.824684 + 1.28323i 0.0313272 + 0.0487460i
\(694\) 14.7378 21.5396i 0.559439 0.817631i
\(695\) −0.578456 1.26664i −0.0219421 0.0480464i
\(696\) 6.66671 6.46739i 0.252701 0.245146i
\(697\) −24.3335 + 7.14496i −0.921697 + 0.270635i
\(698\) 7.87212 + 29.9850i 0.297964 + 1.13495i
\(699\) 22.6726 + 10.3542i 0.857555 + 0.391632i
\(700\) −0.830729 + 4.08729i −0.0313986 + 0.154485i
\(701\) −19.3220 + 16.7426i −0.729782 + 0.632359i −0.938365 0.345645i \(-0.887660\pi\)
0.208584 + 0.978005i \(0.433115\pi\)
\(702\) −5.24467 0.151392i −0.197947 0.00571394i
\(703\) −8.61805 2.53049i −0.325036 0.0954392i
\(704\) 5.03402 28.7824i 0.189727 1.08478i
\(705\) 0.337659 + 0.217000i 0.0127170 + 0.00817271i
\(706\) −13.2317 + 26.8917i −0.497982 + 1.01208i
\(707\) 0.145000 + 0.0208478i 0.00545328 + 0.000784064i
\(708\) −14.3394 + 8.08654i −0.538906 + 0.303911i
\(709\) −22.0389 + 3.16871i −0.827687 + 0.119003i −0.543122 0.839653i \(-0.682758\pi\)
−0.284564 + 0.958657i \(0.591849\pi\)
\(710\) 1.05716 + 0.183273i 0.0396745 + 0.00687812i
\(711\) 7.29669 8.42083i 0.273647 0.315806i
\(712\) 3.08991 + 2.38709i 0.115799 + 0.0894598i
\(713\) 10.7834 26.3716i 0.403841 0.987622i
\(714\) −1.42648 1.30999i −0.0533846 0.0490253i
\(715\) 0.831338 + 0.720358i 0.0310903 + 0.0269399i
\(716\) 26.6423 20.5190i 0.995670 0.766830i
\(717\) 10.1577 1.46046i 0.379347 0.0545418i
\(718\) 4.45404 + 1.44867i 0.166223 + 0.0540640i
\(719\) 2.60717 18.1332i 0.0972309 0.676256i −0.881662 0.471882i \(-0.843575\pi\)
0.978893 0.204374i \(-0.0655160\pi\)
\(720\) −0.142921 0.291565i −0.00532636 0.0108660i
\(721\) −1.71758 1.10382i −0.0639659 0.0411084i
\(722\) 9.93871 + 23.5374i 0.369881 + 0.875970i
\(723\) 3.28273 11.1800i 0.122086 0.415787i
\(724\) −9.39657 9.14286i −0.349221 0.339792i
\(725\) 12.3927 10.7383i 0.460253 0.398811i
\(726\) −1.70817 2.83458i −0.0633960 0.105201i
\(727\) 10.5316 23.0609i 0.390594 0.855281i −0.607544 0.794286i \(-0.707845\pi\)
0.998138 0.0609953i \(-0.0194275\pi\)
\(728\) 4.12900 1.46906i 0.153031 0.0544471i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) −0.909688 + 0.743396i −0.0336691 + 0.0275143i
\(731\) −26.3193 + 12.0196i −0.973453 + 0.444561i
\(732\) −20.2580 + 4.69807i −0.748757 + 0.173646i
\(733\) −21.5709 33.5650i −0.796740 1.23975i −0.967107 0.254371i \(-0.918131\pi\)
0.170366 0.985381i \(-0.445505\pi\)
\(734\) −2.80230 24.4876i −0.103435 0.903856i
\(735\) 0.554083 0.0204377
\(736\) −19.7993 + 18.5469i −0.729812 + 0.683648i
\(737\) 20.4772 0.754286
\(738\) 1.24355 + 10.8667i 0.0457759 + 0.400008i
\(739\) −6.18526 9.62445i −0.227528 0.354041i 0.708654 0.705556i \(-0.249303\pi\)
−0.936182 + 0.351515i \(0.885667\pi\)
\(740\) 1.47016 0.340948i 0.0540442 0.0125335i
\(741\) 3.26093 1.48922i 0.119793 0.0547077i
\(742\) 1.64701 1.34594i 0.0604637 0.0494109i
\(743\) 32.9597 9.67784i 1.20917 0.355046i 0.385820 0.922574i \(-0.373918\pi\)
0.823354 + 0.567528i \(0.192100\pi\)
\(744\) −15.8310 + 5.63252i −0.580391 + 0.206498i
\(745\) 0.215485 0.471847i 0.00789477 0.0172871i
\(746\) 5.51798 + 9.15671i 0.202028 + 0.335251i
\(747\) 8.00712 6.93821i 0.292965 0.253856i
\(748\) 17.1678 + 16.7042i 0.627716 + 0.610767i
\(749\) −1.50139 + 5.11328i −0.0548598 + 0.186835i
\(750\) −0.446281 1.05691i −0.0162959 0.0385928i
\(751\) 16.9156 + 10.8710i 0.617260 + 0.396689i 0.811573 0.584251i \(-0.198612\pi\)
−0.194314 + 0.980939i \(0.562248\pi\)
\(752\) −17.7589 + 8.70519i −0.647600 + 0.317446i
\(753\) −2.66471 + 18.5335i −0.0971075 + 0.675397i
\(754\) −16.3853 5.32929i −0.596716 0.194081i
\(755\) 1.05086 0.151091i 0.0382446 0.00549875i
\(756\) −0.661758 + 0.509663i −0.0240679 + 0.0185363i
\(757\) 35.6311 + 30.8746i 1.29504 + 1.12215i 0.985208 + 0.171362i \(0.0548167\pi\)
0.309827 + 0.950793i \(0.399729\pi\)
\(758\) −4.88810 4.48894i −0.177544 0.163046i
\(759\) −1.79330 + 17.4243i −0.0650926 + 0.632464i
\(760\) 0.175567 + 0.135633i 0.00636850 + 0.00491993i
\(761\) 12.0785 13.9393i 0.437845 0.505301i −0.493345 0.869834i \(-0.664226\pi\)
0.931190 + 0.364533i \(0.118771\pi\)
\(762\) −13.8530 2.40162i −0.501843 0.0870013i
\(763\) −4.47276 + 0.643085i −0.161925 + 0.0232812i
\(764\) −15.5695 + 8.78027i −0.563285 + 0.317659i
\(765\) 0.263480 + 0.0378827i 0.00952615 + 0.00136965i
\(766\) −19.1574 + 38.9348i −0.692184 + 1.40677i
\(767\) 25.6905 + 16.5103i 0.927631 + 0.596152i
\(768\) 15.9380 + 1.40720i 0.575113 + 0.0507780i
\(769\) −43.3551 12.7302i −1.56342 0.459063i −0.618346 0.785906i \(-0.712197\pi\)
−0.945078 + 0.326844i \(0.894015\pi\)
\(770\) 0.175044 + 0.00505283i 0.00630816 + 0.000182091i
\(771\) −21.7976 + 18.8877i −0.785020 + 0.680224i
\(772\) −5.51402 + 27.1297i −0.198454 + 0.976419i
\(773\) −4.74400 2.16651