Properties

Label 403.2.bs.a.4.4
Level 403
Weight 2
Character 403.4
Analytic conductor 3.218
Analytic rank 0
Dimension 288
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bs (of order \(30\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(36\) over \(\Q(\zeta_{30})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.4
Character \(\chi\) = 403.4
Dual form 403.2.bs.a.101.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.502235 + 2.36283i) q^{2} +(0.181860 + 0.201976i) q^{3} +(-3.50363 - 1.55992i) q^{4} -2.70808i q^{5} +(-0.568571 + 0.328265i) q^{6} +(-0.369305 + 0.829472i) q^{7} +(2.60573 - 3.58648i) q^{8} +(0.305864 - 2.91010i) q^{9} +O(q^{10})\) \(q+(-0.502235 + 2.36283i) q^{2} +(0.181860 + 0.201976i) q^{3} +(-3.50363 - 1.55992i) q^{4} -2.70808i q^{5} +(-0.568571 + 0.328265i) q^{6} +(-0.369305 + 0.829472i) q^{7} +(2.60573 - 3.58648i) q^{8} +(0.305864 - 2.91010i) q^{9} +(6.39874 + 1.36009i) q^{10} +(3.33873 - 0.350915i) q^{11} +(-0.322104 - 0.991336i) q^{12} +(0.564544 - 3.56108i) q^{13} +(-1.77442 - 1.28919i) q^{14} +(0.546968 - 0.492492i) q^{15} +(2.03306 + 2.25794i) q^{16} +(-0.346673 + 3.29837i) q^{17} +(6.72246 + 2.18426i) q^{18} +(2.06233 + 1.85693i) q^{19} +(-4.22438 + 9.48812i) q^{20} +(-0.234695 + 0.0762571i) q^{21} +(-0.847676 + 8.06510i) q^{22} +(6.12777 - 2.72826i) q^{23} +(1.19826 - 0.125942i) q^{24} -2.33371 q^{25} +(8.13069 + 3.12242i) q^{26} +(1.30303 - 0.946709i) q^{27} +(2.58781 - 2.33008i) q^{28} +(-5.27619 - 1.12149i) q^{29} +(0.888968 + 1.53974i) q^{30} +(-0.522466 - 5.54320i) q^{31} +(1.32222 - 0.763385i) q^{32} +(0.678059 + 0.610527i) q^{33} +(-7.61938 - 2.47569i) q^{34} +(2.24628 + 1.00011i) q^{35} +(-5.61115 + 9.71880i) q^{36} +(0.883690 + 0.510198i) q^{37} +(-5.42338 + 3.94032i) q^{38} +(0.821921 - 0.533594i) q^{39} +(-9.71250 - 7.05654i) q^{40} +(-0.104186 + 0.490157i) q^{41} +(-0.0623104 - 0.592843i) q^{42} +(-1.24301 + 1.38051i) q^{43} +(-12.2451 - 3.97867i) q^{44} +(-7.88080 - 0.828306i) q^{45} +(3.36883 + 15.8491i) q^{46} +(-0.594623 - 0.193205i) q^{47} +(-0.0863177 + 0.821258i) q^{48} +(4.13228 + 4.58936i) q^{49} +(1.17207 - 5.51417i) q^{50} +(-0.729238 + 0.529823i) q^{51} +(-7.53294 + 11.5961i) q^{52} +(-10.9676 - 7.96844i) q^{53} +(1.58248 + 3.55431i) q^{54} +(-0.950307 - 9.04157i) q^{55} +(2.01258 + 3.48589i) q^{56} +0.754243i q^{57} +(5.29977 - 11.9035i) q^{58} +(-2.39527 - 11.2689i) q^{59} +(-2.68462 + 0.872286i) q^{60} +(2.75542 + 4.77253i) q^{61} +(13.3600 + 1.54949i) q^{62} +(2.30089 + 1.32842i) q^{63} +(3.01749 + 9.28688i) q^{64} +(-9.64370 - 1.52883i) q^{65} +(-1.78312 + 1.29551i) q^{66} +(9.17752 + 5.29865i) q^{67} +(6.35980 - 11.0155i) q^{68} +(1.66544 + 0.741502i) q^{69} +(-3.49124 + 4.80528i) q^{70} +(-5.24185 - 0.550941i) q^{71} +(-9.64004 - 8.67993i) q^{72} +(5.83036 + 8.02480i) q^{73} +(-1.64933 + 1.83177i) q^{74} +(-0.424410 - 0.471355i) q^{75} +(-4.32899 - 9.72306i) q^{76} +(-0.941935 + 2.89898i) q^{77} +(0.847994 + 2.21005i) q^{78} +(-3.83936 - 2.78946i) q^{79} +(6.11469 - 5.50569i) q^{80} +(-8.15839 - 1.73412i) q^{81} +(-1.10583 - 0.492348i) q^{82} +(10.4120 - 3.38305i) q^{83} +(0.941239 + 0.0989283i) q^{84} +(8.93227 + 0.938819i) q^{85} +(-2.63761 - 3.63037i) q^{86} +(-0.733014 - 1.26962i) q^{87} +(7.44130 - 12.8887i) q^{88} +(1.67100 - 0.175629i) q^{89} +(5.91516 - 18.2050i) q^{90} +(2.74533 + 1.78340i) q^{91} -25.7253 q^{92} +(1.02458 - 1.11361i) q^{93} +(0.755150 - 1.30796i) q^{94} +(5.02872 - 5.58496i) q^{95} +(0.394645 + 0.128228i) q^{96} +(1.64196 - 3.68790i) q^{97} +(-12.9192 + 7.45893i) q^{98} -9.82339i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + O(q^{10}) \) \( 288q - 9q^{2} - q^{3} - 39q^{4} - 42q^{6} - 15q^{7} + 31q^{9} + 3q^{10} - 18q^{11} - 46q^{12} - q^{13} - 32q^{14} + 18q^{15} + 21q^{16} - 15q^{17} - 15q^{19} + 51q^{20} - 10q^{22} - 4q^{23} - 51q^{24} - 296q^{25} - 6q^{26} - 52q^{27} + 21q^{28} + q^{29} + 60q^{30} + 138q^{32} + 69q^{33} - 10q^{35} + 128q^{36} - 18q^{37} + 32q^{38} - 14q^{39} + 60q^{40} - 15q^{41} - 49q^{42} - 36q^{43} + 6q^{45} - 69q^{46} + 21q^{48} - 23q^{49} + 117q^{50} + 8q^{51} + 26q^{52} - 48q^{53} + 75q^{54} + 46q^{55} - 98q^{56} - 21q^{58} - 105q^{59} - 74q^{61} - 3q^{62} - 90q^{63} + 90q^{64} + 89q^{65} - 8q^{66} + 6q^{67} - 182q^{68} + 29q^{69} + 3q^{71} - 183q^{72} - 53q^{74} - 38q^{75} + 144q^{76} - 128q^{78} - 72q^{79} - 72q^{80} + 11q^{81} - 11q^{82} - 33q^{84} + 72q^{85} - 18q^{87} - 14q^{88} + 81q^{89} - 34q^{90} - 48q^{91} + 8q^{92} + 72q^{93} - 6q^{94} + 141q^{97} + 96q^{98} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.502235 + 2.36283i −0.355134 + 1.67077i 0.331258 + 0.943540i \(0.392527\pi\)
−0.686392 + 0.727232i \(0.740806\pi\)
\(3\) 0.181860 + 0.201976i 0.104997 + 0.116611i 0.793353 0.608763i \(-0.208334\pi\)
−0.688356 + 0.725373i \(0.741667\pi\)
\(4\) −3.50363 1.55992i −1.75181 0.779958i
\(5\) 2.70808i 1.21109i −0.795810 0.605546i \(-0.792955\pi\)
0.795810 0.605546i \(-0.207045\pi\)
\(6\) −0.568571 + 0.328265i −0.232118 + 0.134014i
\(7\) −0.369305 + 0.829472i −0.139584 + 0.313511i −0.969788 0.243949i \(-0.921557\pi\)
0.830204 + 0.557459i \(0.188224\pi\)
\(8\) 2.60573 3.58648i 0.921266 1.26801i
\(9\) 0.305864 2.91010i 0.101955 0.970034i
\(10\) 6.39874 + 1.36009i 2.02346 + 0.430099i
\(11\) 3.33873 0.350915i 1.00667 0.105805i 0.413180 0.910649i \(-0.364418\pi\)
0.593486 + 0.804844i \(0.297751\pi\)
\(12\) −0.322104 0.991336i −0.0929836 0.286174i
\(13\) 0.564544 3.56108i 0.156576 0.987666i
\(14\) −1.77442 1.28919i −0.474234 0.344551i
\(15\) 0.546968 0.492492i 0.141227 0.127161i
\(16\) 2.03306 + 2.25794i 0.508265 + 0.564485i
\(17\) −0.346673 + 3.29837i −0.0840805 + 0.799973i 0.868501 + 0.495688i \(0.165084\pi\)
−0.952581 + 0.304285i \(0.901583\pi\)
\(18\) 6.72246 + 2.18426i 1.58450 + 0.514835i
\(19\) 2.06233 + 1.85693i 0.473131 + 0.426009i 0.870888 0.491482i \(-0.163545\pi\)
−0.397757 + 0.917491i \(0.630211\pi\)
\(20\) −4.22438 + 9.48812i −0.944601 + 2.12161i
\(21\) −0.234695 + 0.0762571i −0.0512147 + 0.0166407i
\(22\) −0.847676 + 8.06510i −0.180725 + 1.71948i
\(23\) 6.12777 2.72826i 1.27773 0.568881i 0.348127 0.937447i \(-0.386818\pi\)
0.929602 + 0.368566i \(0.120151\pi\)
\(24\) 1.19826 0.125942i 0.244594 0.0257079i
\(25\) −2.33371 −0.466743
\(26\) 8.13069 + 3.12242i 1.59456 + 0.612357i
\(27\) 1.30303 0.946709i 0.250769 0.182194i
\(28\) 2.58781 2.33008i 0.489051 0.440343i
\(29\) −5.27619 1.12149i −0.979764 0.208255i −0.309924 0.950761i \(-0.600304\pi\)
−0.669839 + 0.742506i \(0.733637\pi\)
\(30\) 0.888968 + 1.53974i 0.162303 + 0.281116i
\(31\) −0.522466 5.54320i −0.0938377 0.995588i
\(32\) 1.32222 0.763385i 0.233738 0.134949i
\(33\) 0.678059 + 0.610527i 0.118035 + 0.106279i
\(34\) −7.61938 2.47569i −1.30671 0.424577i
\(35\) 2.24628 + 1.00011i 0.379690 + 0.169049i
\(36\) −5.61115 + 9.71880i −0.935192 + 1.61980i
\(37\) 0.883690 + 0.510198i 0.145278 + 0.0838761i 0.570877 0.821036i \(-0.306603\pi\)
−0.425599 + 0.904912i \(0.639937\pi\)
\(38\) −5.42338 + 3.94032i −0.879789 + 0.639204i
\(39\) 0.821921 0.533594i 0.131613 0.0854434i
\(40\) −9.71250 7.05654i −1.53568 1.11574i
\(41\) −0.104186 + 0.490157i −0.0162711 + 0.0765496i −0.985534 0.169478i \(-0.945792\pi\)
0.969263 + 0.246027i \(0.0791253\pi\)
\(42\) −0.0623104 0.592843i −0.00961470 0.0914777i
\(43\) −1.24301 + 1.38051i −0.189558 + 0.210525i −0.830431 0.557122i \(-0.811906\pi\)
0.640873 + 0.767647i \(0.278572\pi\)
\(44\) −12.2451 3.97867i −1.84602 0.599807i
\(45\) −7.88080 0.828306i −1.17480 0.123477i
\(46\) 3.36883 + 15.8491i 0.496707 + 2.33682i
\(47\) −0.594623 0.193205i −0.0867347 0.0281818i 0.265328 0.964158i \(-0.414520\pi\)
−0.352063 + 0.935976i \(0.614520\pi\)
\(48\) −0.0863177 + 0.821258i −0.0124589 + 0.118538i
\(49\) 4.13228 + 4.58936i 0.590325 + 0.655623i
\(50\) 1.17207 5.51417i 0.165756 0.779821i
\(51\) −0.729238 + 0.529823i −0.102114 + 0.0741900i
\(52\) −7.53294 + 11.5961i −1.04463 + 1.60808i
\(53\) −10.9676 7.96844i −1.50652 1.09455i −0.967693 0.252131i \(-0.918869\pi\)
−0.538825 0.842418i \(-0.681131\pi\)
\(54\) 1.58248 + 3.55431i 0.215349 + 0.483681i
\(55\) −0.950307 9.04157i −0.128139 1.21916i
\(56\) 2.01258 + 3.48589i 0.268942 + 0.465821i
\(57\) 0.754243i 0.0999019i
\(58\) 5.29977 11.9035i 0.695894 1.56300i
\(59\) −2.39527 11.2689i −0.311837 1.46708i −0.802983 0.596002i \(-0.796755\pi\)
0.491145 0.871078i \(-0.336578\pi\)
\(60\) −2.68462 + 0.872286i −0.346583 + 0.112612i
\(61\) 2.75542 + 4.77253i 0.352795 + 0.611059i 0.986738 0.162321i \(-0.0518979\pi\)
−0.633943 + 0.773380i \(0.718565\pi\)
\(62\) 13.3600 + 1.54949i 1.69672 + 0.196785i
\(63\) 2.30089 + 1.32842i 0.289885 + 0.167365i
\(64\) 3.01749 + 9.28688i 0.377186 + 1.16086i
\(65\) −9.64370 1.52883i −1.19615 0.189628i
\(66\) −1.78312 + 1.29551i −0.219486 + 0.159466i
\(67\) 9.17752 + 5.29865i 1.12121 + 0.647333i 0.941710 0.336425i \(-0.109218\pi\)
0.179503 + 0.983757i \(0.442551\pi\)
\(68\) 6.35980 11.0155i 0.771239 1.33582i
\(69\) 1.66544 + 0.741502i 0.200495 + 0.0892663i
\(70\) −3.49124 + 4.80528i −0.417283 + 0.574341i
\(71\) −5.24185 0.550941i −0.622093 0.0653846i −0.211762 0.977321i \(-0.567920\pi\)
−0.410331 + 0.911937i \(0.634587\pi\)
\(72\) −9.64004 8.67993i −1.13609 1.02294i
\(73\) 5.83036 + 8.02480i 0.682392 + 0.939231i 0.999959 0.00900409i \(-0.00286613\pi\)
−0.317568 + 0.948236i \(0.602866\pi\)
\(74\) −1.64933 + 1.83177i −0.191731 + 0.212939i
\(75\) −0.424410 0.471355i −0.0490066 0.0544273i
\(76\) −4.32899 9.72306i −0.496569 1.11531i
\(77\) −0.941935 + 2.89898i −0.107344 + 0.330369i
\(78\) 0.847994 + 2.21005i 0.0960164 + 0.250239i
\(79\) −3.83936 2.78946i −0.431961 0.313838i 0.350471 0.936573i \(-0.386021\pi\)
−0.782433 + 0.622735i \(0.786021\pi\)
\(80\) 6.11469 5.50569i 0.683643 0.615555i
\(81\) −8.15839 1.73412i −0.906487 0.192680i
\(82\) −1.10583 0.492348i −0.122119 0.0543707i
\(83\) 10.4120 3.38305i 1.14286 0.371338i 0.324411 0.945916i \(-0.394834\pi\)
0.818450 + 0.574578i \(0.194834\pi\)
\(84\) 0.941239 + 0.0989283i 0.102698 + 0.0107940i
\(85\) 8.93227 + 0.938819i 0.968841 + 0.101829i
\(86\) −2.63761 3.63037i −0.284421 0.391472i
\(87\) −0.733014 1.26962i −0.0785874 0.136117i
\(88\) 7.44130 12.8887i 0.793245 1.37394i
\(89\) 1.67100 0.175629i 0.177125 0.0186166i −0.0155505 0.999879i \(-0.504950\pi\)
0.192676 + 0.981262i \(0.438283\pi\)
\(90\) 5.91516 18.2050i 0.623512 1.91897i
\(91\) 2.74533 + 1.78340i 0.287788 + 0.186951i
\(92\) −25.7253 −2.68205
\(93\) 1.02458 1.11361i 0.106244 0.115476i
\(94\) 0.755150 1.30796i 0.0778878 0.134906i
\(95\) 5.02872 5.58496i 0.515936 0.573005i
\(96\) 0.394645 + 0.128228i 0.0402783 + 0.0130872i
\(97\) 1.64196 3.68790i 0.166716 0.374449i −0.810797 0.585328i \(-0.800966\pi\)
0.977512 + 0.210879i \(0.0676324\pi\)
\(98\) −12.9192 + 7.45893i −1.30504 + 0.753465i
\(99\) 9.82339i 0.987288i
\(100\) 8.17647 + 3.64040i 0.817647 + 0.364040i
\(101\) −3.28264 + 1.46152i −0.326635 + 0.145427i −0.563502 0.826115i \(-0.690546\pi\)
0.236867 + 0.971542i \(0.423879\pi\)
\(102\) −0.885631 1.98916i −0.0876906 0.196956i
\(103\) 3.35929 + 10.3388i 0.331000 + 1.01871i 0.968659 + 0.248395i \(0.0799032\pi\)
−0.637658 + 0.770319i \(0.720097\pi\)
\(104\) −11.3007 11.3040i −1.10813 1.10844i
\(105\) 0.206511 + 0.635574i 0.0201534 + 0.0620257i
\(106\) 24.3364 21.9126i 2.36376 2.12834i
\(107\) −3.39120 + 1.50986i −0.327840 + 0.145964i −0.564055 0.825737i \(-0.690759\pi\)
0.236216 + 0.971701i \(0.424093\pi\)
\(108\) −6.04213 + 1.28429i −0.581404 + 0.123581i
\(109\) 6.56710 + 2.13378i 0.629014 + 0.204379i 0.606138 0.795359i \(-0.292718\pi\)
0.0228758 + 0.999738i \(0.492718\pi\)
\(110\) 21.8410 + 2.29558i 2.08245 + 0.218875i
\(111\) 0.0576600 + 0.271269i 0.00547284 + 0.0257477i
\(112\) −2.62371 + 0.852497i −0.247918 + 0.0805534i
\(113\) 14.5214 + 6.46535i 1.36606 + 0.608209i 0.953132 0.302555i \(-0.0978396\pi\)
0.412928 + 0.910764i \(0.364506\pi\)
\(114\) −1.78215 0.378807i −0.166913 0.0354785i
\(115\) −7.38835 16.5945i −0.688968 1.54745i
\(116\) 16.7364 + 12.1597i 1.55393 + 1.12900i
\(117\) −10.1904 2.73209i −0.942106 0.252582i
\(118\) 27.8294 2.56190
\(119\) −2.60788 1.50566i −0.239064 0.138024i
\(120\) −0.341063 3.24499i −0.0311346 0.296226i
\(121\) 0.264377 0.0561951i 0.0240343 0.00510865i
\(122\) −12.6605 + 4.11365i −1.14623 + 0.372433i
\(123\) −0.117947 + 0.0680969i −0.0106349 + 0.00614009i
\(124\) −6.81640 + 20.2363i −0.612130 + 1.81727i
\(125\) 7.22052i 0.645823i
\(126\) −4.29442 + 4.76943i −0.382577 + 0.424895i
\(127\) 7.10537 + 7.89131i 0.630500 + 0.700241i 0.970750 0.240094i \(-0.0771784\pi\)
−0.340250 + 0.940335i \(0.610512\pi\)
\(128\) −20.4220 + 2.14644i −1.80507 + 0.189720i
\(129\) −0.504884 −0.0444525
\(130\) 8.45577 22.0186i 0.741620 1.93116i
\(131\) −17.3083 + 12.5752i −1.51223 + 1.09870i −0.547059 + 0.837094i \(0.684253\pi\)
−0.965174 + 0.261608i \(0.915747\pi\)
\(132\) −1.42330 3.19677i −0.123882 0.278244i
\(133\) −2.30190 + 1.02487i −0.199600 + 0.0888677i
\(134\) −17.1291 + 19.0238i −1.47973 + 1.64340i
\(135\) −2.56377 3.52872i −0.220654 0.303704i
\(136\) 10.9262 + 9.83802i 0.936916 + 0.843603i
\(137\) −3.45440 16.2517i −0.295130 1.38848i −0.836627 0.547773i \(-0.815476\pi\)
0.541497 0.840702i \(-0.317858\pi\)
\(138\) −2.58848 + 3.56274i −0.220346 + 0.303281i
\(139\) −18.1880 + 3.86598i −1.54269 + 0.327908i −0.899196 0.437547i \(-0.855848\pi\)
−0.643490 + 0.765455i \(0.722514\pi\)
\(140\) −6.31004 7.00801i −0.533296 0.592285i
\(141\) −0.0691155 0.155236i −0.00582057 0.0130732i
\(142\) 3.93442 12.1089i 0.330169 1.01616i
\(143\) 0.635225 12.0876i 0.0531202 1.01082i
\(144\) 7.19268 5.22579i 0.599390 0.435482i
\(145\) −3.03708 + 14.2884i −0.252216 + 1.18658i
\(146\) −21.8894 + 9.74580i −1.81158 + 0.806568i
\(147\) −0.175444 + 1.66924i −0.0144704 + 0.137677i
\(148\) −2.30025 3.16603i −0.189080 0.260246i
\(149\) −11.4777 + 6.62666i −0.940291 + 0.542877i −0.890052 0.455860i \(-0.849332\pi\)
−0.0502395 + 0.998737i \(0.515998\pi\)
\(150\) 1.32688 0.766076i 0.108340 0.0625499i
\(151\) 1.69130 + 2.32788i 0.137636 + 0.189440i 0.872271 0.489023i \(-0.162647\pi\)
−0.734635 + 0.678463i \(0.762647\pi\)
\(152\) 12.0337 2.55785i 0.976065 0.207469i
\(153\) 9.49257 + 2.01771i 0.767429 + 0.163122i
\(154\) −6.37672 3.68160i −0.513851 0.296672i
\(155\) −15.0114 + 1.41488i −1.20575 + 0.113646i
\(156\) −3.71207 + 0.587387i −0.297203 + 0.0470286i
\(157\) 5.30882 + 16.3389i 0.423690 + 1.30398i 0.904243 + 0.427018i \(0.140436\pi\)
−0.480553 + 0.876965i \(0.659564\pi\)
\(158\) 8.51927 7.67078i 0.677756 0.610255i
\(159\) −0.385137 3.66434i −0.0305434 0.290601i
\(160\) −2.06731 3.58069i −0.163435 0.283078i
\(161\) 6.09037i 0.479988i
\(162\) 8.19485 18.4059i 0.643848 1.44611i
\(163\) −7.85242 0.825323i −0.615049 0.0646443i −0.208119 0.978104i \(-0.566734\pi\)
−0.406930 + 0.913459i \(0.633401\pi\)
\(164\) 1.12963 1.55481i 0.0882095 0.121410i
\(165\) 1.65336 1.83624i 0.128714 0.142951i
\(166\) 2.76432 + 26.3008i 0.214553 + 2.04133i
\(167\) 0.439060 2.06562i 0.0339755 0.159842i −0.957889 0.287138i \(-0.907296\pi\)
0.991865 + 0.127295i \(0.0406296\pi\)
\(168\) −0.338058 + 1.04044i −0.0260817 + 0.0802714i
\(169\) −12.3626 4.02077i −0.950968 0.309290i
\(170\) −6.70436 + 20.6339i −0.514201 + 1.58255i
\(171\) 6.03465 5.43363i 0.461481 0.415520i
\(172\) 6.50853 2.89778i 0.496271 0.220954i
\(173\) −5.12494 + 1.08934i −0.389642 + 0.0828210i −0.398567 0.917139i \(-0.630492\pi\)
0.00892495 + 0.999960i \(0.497159\pi\)
\(174\) 3.36803 1.09434i 0.255330 0.0829618i
\(175\) 0.861852 1.93575i 0.0651499 0.146329i
\(176\) 7.58018 + 6.82523i 0.571378 + 0.514471i
\(177\) 1.84043 2.53314i 0.138336 0.190403i
\(178\) −0.424252 + 4.03649i −0.0317990 + 0.302547i
\(179\) 1.74961 + 16.6465i 0.130772 + 1.24422i 0.841309 + 0.540555i \(0.181786\pi\)
−0.710536 + 0.703661i \(0.751548\pi\)
\(180\) 26.3193 + 15.1955i 1.96173 + 1.13260i
\(181\) 7.98643 0.593626 0.296813 0.954936i \(-0.404076\pi\)
0.296813 + 0.954936i \(0.404076\pi\)
\(182\) −5.59266 + 5.59105i −0.414555 + 0.414436i
\(183\) −0.462835 + 1.42446i −0.0342138 + 0.105299i
\(184\) 6.18248 29.0863i 0.455778 2.14427i
\(185\) 1.38166 2.39311i 0.101582 0.175945i
\(186\) 2.11670 + 2.98020i 0.155204 + 0.218519i
\(187\) 11.1340i 0.814202i
\(188\) 1.78196 + 1.60448i 0.129962 + 0.117019i
\(189\) 0.304052 + 1.43045i 0.0221165 + 0.104050i
\(190\) 10.6707 + 14.6870i 0.774135 + 1.06551i
\(191\) −3.40619 5.89970i −0.246463 0.426887i 0.716079 0.698020i \(-0.245935\pi\)
−0.962542 + 0.271132i \(0.912602\pi\)
\(192\) −1.32697 + 2.29837i −0.0957656 + 0.165871i
\(193\) 14.6939 1.54439i 1.05769 0.111168i 0.440321 0.897840i \(-0.354865\pi\)
0.617371 + 0.786672i \(0.288198\pi\)
\(194\) 7.88923 + 5.73186i 0.566413 + 0.411523i
\(195\) −1.44502 2.22583i −0.103480 0.159395i
\(196\) −7.31895 22.5254i −0.522782 1.60896i
\(197\) 1.89150 0.198805i 0.134764 0.0141642i −0.0369064 0.999319i \(-0.511750\pi\)
0.171670 + 0.985154i \(0.445084\pi\)
\(198\) 23.2110 + 4.93365i 1.64953 + 0.350619i
\(199\) 0.149457 0.0317681i 0.0105947 0.00225198i −0.202611 0.979259i \(-0.564943\pi\)
0.213206 + 0.977007i \(0.431609\pi\)
\(200\) −6.08104 + 8.36983i −0.429994 + 0.591836i
\(201\) 0.598825 + 2.81725i 0.0422379 + 0.198714i
\(202\) −1.80468 8.49034i −0.126977 0.597378i
\(203\) 2.87876 3.96228i 0.202050 0.278097i
\(204\) 3.38146 0.718751i 0.236750 0.0503227i
\(205\) 1.32739 + 0.282144i 0.0927086 + 0.0197058i
\(206\) −26.1160 + 2.74490i −1.81959 + 0.191247i
\(207\) −6.06525 18.6669i −0.421564 1.29744i
\(208\) 9.18845 5.96518i 0.637105 0.413611i
\(209\) 7.53720 + 5.47610i 0.521359 + 0.378789i
\(210\) −1.60547 + 0.168742i −0.110788 + 0.0116443i
\(211\) 1.17349 2.03255i 0.0807865 0.139926i −0.822801 0.568329i \(-0.807590\pi\)
0.903588 + 0.428403i \(0.140923\pi\)
\(212\) 25.9964 + 45.0270i 1.78544 + 3.09247i
\(213\) −0.842006 1.15892i −0.0576933 0.0794081i
\(214\) −1.86436 8.77113i −0.127445 0.599582i
\(215\) 3.73852 + 3.36618i 0.254965 + 0.229572i
\(216\) 7.14018i 0.485828i
\(217\) 4.79087 + 1.61376i 0.325226 + 0.109549i
\(218\) −8.33998 + 14.4453i −0.564855 + 0.978358i
\(219\) −0.560508 + 2.63698i −0.0378756 + 0.178191i
\(220\) −10.7746 + 33.1607i −0.726421 + 2.23569i
\(221\) 11.5501 + 3.09661i 0.776941 + 0.208300i
\(222\) −0.669921 −0.0449621
\(223\) −8.79785 5.07944i −0.589147 0.340144i 0.175613 0.984459i \(-0.443809\pi\)
−0.764760 + 0.644315i \(0.777143\pi\)
\(224\) 0.144904 + 1.37867i 0.00968179 + 0.0921161i
\(225\) −0.713800 + 6.79135i −0.0475866 + 0.452757i
\(226\) −22.5697 + 31.0645i −1.50131 + 2.06638i
\(227\) 5.59817 + 5.04062i 0.371564 + 0.334557i 0.833666 0.552269i \(-0.186238\pi\)
−0.462102 + 0.886827i \(0.652905\pi\)
\(228\) 1.17656 2.64259i 0.0779193 0.175010i
\(229\) −24.5860 + 7.98847i −1.62469 + 0.527893i −0.973042 0.230629i \(-0.925922\pi\)
−0.651647 + 0.758523i \(0.725922\pi\)
\(230\) 42.9207 9.12307i 2.83011 0.601558i
\(231\) −0.756825 + 0.336960i −0.0497954 + 0.0221703i
\(232\) −17.7705 + 16.0007i −1.16669 + 1.05050i
\(233\) −4.61962 + 14.2177i −0.302641 + 0.931434i 0.677906 + 0.735149i \(0.262888\pi\)
−0.980547 + 0.196285i \(0.937112\pi\)
\(234\) 11.5734 22.7061i 0.756580 1.48434i
\(235\) −0.523215 + 1.61029i −0.0341308 + 0.105044i
\(236\) −9.18633 + 43.2183i −0.597979 + 2.81327i
\(237\) −0.134822 1.28275i −0.00875765 0.0833235i
\(238\) 4.86738 5.40578i 0.315506 0.350404i
\(239\) 5.62852 7.74699i 0.364078 0.501111i −0.587201 0.809441i \(-0.699770\pi\)
0.951279 + 0.308330i \(0.0997702\pi\)
\(240\) 2.22404 + 0.233756i 0.143561 + 0.0150889i
\(241\) −7.28995 + 16.3735i −0.469587 + 1.05471i 0.511170 + 0.859480i \(0.329212\pi\)
−0.980757 + 0.195231i \(0.937454\pi\)
\(242\) 0.652901i 0.0419701i
\(243\) −3.54939 6.14772i −0.227694 0.394377i
\(244\) −2.20923 21.0194i −0.141431 1.34563i
\(245\) 12.4284 11.1906i 0.794019 0.714938i
\(246\) −0.101664 0.312890i −0.00648186 0.0199491i
\(247\) 7.77696 6.29581i 0.494836 0.400593i
\(248\) −21.2420 12.5703i −1.34887 0.798213i
\(249\) 2.57681 + 1.48772i 0.163299 + 0.0942807i
\(250\) 17.0609 + 3.62640i 1.07902 + 0.229353i
\(251\) 2.00040 0.425198i 0.126264 0.0268382i −0.144346 0.989527i \(-0.546108\pi\)
0.270610 + 0.962689i \(0.412775\pi\)
\(252\) −5.98924 8.24349i −0.377287 0.519291i
\(253\) 19.5016 11.2593i 1.22606 0.707864i
\(254\) −22.2144 + 12.8255i −1.39385 + 0.804742i
\(255\) 1.43480 + 1.97484i 0.0898509 + 0.123669i
\(256\) 3.14357 29.9091i 0.196473 1.86932i
\(257\) −19.4603 + 8.66426i −1.21390 + 0.540462i −0.910939 0.412542i \(-0.864641\pi\)
−0.302959 + 0.953004i \(0.597974\pi\)
\(258\) 0.253570 1.19295i 0.0157866 0.0742700i
\(259\) −0.749546 + 0.544577i −0.0465745 + 0.0338384i
\(260\) 31.4031 + 20.3998i 1.94754 + 1.26514i
\(261\) −4.87744 + 15.0112i −0.301906 + 0.929172i
\(262\) −21.0203 47.2123i −1.29864 2.91678i
\(263\) 17.1934 + 19.0952i 1.06019 + 1.17746i 0.983593 + 0.180401i \(0.0577397\pi\)
0.0765996 + 0.997062i \(0.475594\pi\)
\(264\) 3.95648 0.840977i 0.243505 0.0517585i
\(265\) −21.5792 + 29.7012i −1.32560 + 1.82453i
\(266\) −1.26550 5.95372i −0.0775929 0.365046i
\(267\) 0.339360 + 0.305561i 0.0207685 + 0.0187001i
\(268\) −23.8892 32.8807i −1.45927 2.00851i
\(269\) 2.21810 2.46345i 0.135240 0.150199i −0.671721 0.740805i \(-0.734444\pi\)
0.806960 + 0.590606i \(0.201111\pi\)
\(270\) 9.62538 4.28549i 0.585782 0.260807i
\(271\) 11.2107 + 25.1797i 0.681002 + 1.52955i 0.840182 + 0.542305i \(0.182448\pi\)
−0.159180 + 0.987250i \(0.550885\pi\)
\(272\) −8.15233 + 5.92302i −0.494308 + 0.359136i
\(273\) 0.139062 + 0.878819i 0.00841641 + 0.0531885i
\(274\) 40.1349 2.42464
\(275\) −7.79165 + 0.818936i −0.469854 + 0.0493837i
\(276\) −4.67840 5.19589i −0.281607 0.312756i
\(277\) −1.82036 + 2.02171i −0.109375 + 0.121473i −0.795346 0.606156i \(-0.792711\pi\)
0.685971 + 0.727629i \(0.259378\pi\)
\(278\) 44.9167i 2.69393i
\(279\) −16.2911 0.175035i −0.975321 0.0104791i
\(280\) 9.44007 5.45023i 0.564152 0.325713i
\(281\) 21.9381 7.12811i 1.30872 0.425227i 0.430110 0.902776i \(-0.358475\pi\)
0.878605 + 0.477549i \(0.158475\pi\)
\(282\) 0.401508 0.0853431i 0.0239095 0.00508211i
\(283\) −2.72213 25.8994i −0.161814 1.53956i −0.710601 0.703595i \(-0.751577\pi\)
0.548787 0.835962i \(-0.315090\pi\)
\(284\) 17.5061 + 10.1071i 1.03879 + 0.599748i
\(285\) 2.04255 0.120990
\(286\) 28.2419 + 7.57174i 1.66998 + 0.447727i
\(287\) −0.368095 0.267436i −0.0217279 0.0157863i
\(288\) −1.81711 4.08129i −0.107074 0.240493i
\(289\) 5.86943 + 1.24759i 0.345260 + 0.0733874i
\(290\) −32.2356 14.3522i −1.89294 0.842791i
\(291\) 1.04347 0.339045i 0.0611695 0.0198752i
\(292\) −7.90940 37.2108i −0.462862 2.17760i
\(293\) 13.6626 + 1.43600i 0.798178 + 0.0838919i 0.494832 0.868989i \(-0.335230\pi\)
0.303346 + 0.952880i \(0.401896\pi\)
\(294\) −3.85602 1.25290i −0.224888 0.0730704i
\(295\) −30.5170 + 6.48659i −1.77677 + 0.377664i
\(296\) 4.13248 1.83990i 0.240195 0.106942i
\(297\) 4.01827 3.61806i 0.233163 0.209941i
\(298\) −9.89316 30.4480i −0.573095 1.76381i
\(299\) −6.25615 23.3617i −0.361803 1.35104i
\(300\) 0.751700 + 2.31349i 0.0433994 + 0.133570i
\(301\) −0.686040 1.54087i −0.0395427 0.0888143i
\(302\) −6.34980 + 2.82711i −0.365390 + 0.162682i
\(303\) −0.892173 0.397221i −0.0512540 0.0228198i
\(304\) 8.43187i 0.483601i
\(305\) 12.9244 7.46190i 0.740049 0.427267i
\(306\) −9.53500 + 21.4160i −0.545079 + 1.22427i
\(307\) 23.4102 + 7.60642i 1.33609 + 0.434121i 0.887990 0.459863i \(-0.152101\pi\)
0.448098 + 0.893984i \(0.352101\pi\)
\(308\) 7.82236 8.68761i 0.445720 0.495022i
\(309\) −1.47727 + 2.55871i −0.0840392 + 0.145560i
\(310\) 4.19614 36.1801i 0.238325 2.05489i
\(311\) 7.11541 0.403478 0.201739 0.979439i \(-0.435341\pi\)
0.201739 + 0.979439i \(0.435341\pi\)
\(312\) 0.227980 4.33821i 0.0129069 0.245603i
\(313\) −8.73818 + 26.8934i −0.493911 + 1.52010i 0.324735 + 0.945805i \(0.394725\pi\)
−0.818647 + 0.574298i \(0.805275\pi\)
\(314\) −41.2722 + 4.33788i −2.32913 + 0.244801i
\(315\) 3.59747 6.23100i 0.202695 0.351077i
\(316\) 9.10037 + 15.7623i 0.511936 + 0.886699i
\(317\) −14.8309 20.4130i −0.832988 1.14651i −0.987360 0.158497i \(-0.949335\pi\)
0.154372 0.988013i \(-0.450665\pi\)
\(318\) 8.85163 + 0.930344i 0.496375 + 0.0521711i
\(319\) −18.0093 1.89286i −1.00833 0.105980i
\(320\) 25.1496 8.17162i 1.40591 0.456807i
\(321\) −0.921679 0.410358i −0.0514431 0.0229039i
\(322\) −14.3905 3.05880i −0.801951 0.170460i
\(323\) −6.83981 + 6.15859i −0.380577 + 0.342673i
\(324\) 25.8789 + 18.8021i 1.43772 + 1.04456i
\(325\) −1.31748 + 8.31055i −0.0730809 + 0.460986i
\(326\) 5.89386 18.1394i 0.326431 1.00465i
\(327\) 0.763321 + 1.71445i 0.0422117 + 0.0948091i
\(328\) 1.48646 + 1.65088i 0.0820759 + 0.0911546i
\(329\) 0.379855 0.421872i 0.0209421 0.0232585i
\(330\) 3.50835 + 4.82882i 0.193128 + 0.265818i
\(331\) −10.8089 9.73236i −0.594110 0.534939i 0.316293 0.948661i \(-0.397562\pi\)
−0.910403 + 0.413723i \(0.864228\pi\)
\(332\) −41.7569 4.38883i −2.29171 0.240868i
\(333\) 1.75502 2.41558i 0.0961745 0.132373i
\(334\) 4.66019 + 2.07485i 0.254994 + 0.113531i
\(335\) 14.3492 24.8535i 0.783979 1.35789i
\(336\) −0.649333 0.374892i −0.0354240 0.0204521i
\(337\) 6.10006 4.43195i 0.332291 0.241424i −0.409111 0.912485i \(-0.634161\pi\)
0.741402 + 0.671061i \(0.234161\pi\)
\(338\) 15.7093 27.1913i 0.854474 1.47901i
\(339\) 1.33502 + 4.10877i 0.0725083 + 0.223158i
\(340\) −29.8309 17.2229i −1.61781 0.934041i
\(341\) −3.68957 18.3239i −0.199801 0.992296i
\(342\) 9.80792 + 16.9878i 0.530351 + 0.918596i
\(343\) −11.3775 + 3.69678i −0.614329 + 0.199607i
\(344\) 1.71220 + 8.05528i 0.0923157 + 0.434311i
\(345\) 2.00805 4.51015i 0.108110 0.242818i
\(346\) 12.6565i 0.680416i
\(347\) −6.96974 12.0720i −0.374155 0.648056i 0.616045 0.787711i \(-0.288734\pi\)
−0.990200 + 0.139655i \(0.955401\pi\)
\(348\) 0.587713 + 5.59171i 0.0315047 + 0.299747i
\(349\) −11.2645 25.3004i −0.602972 1.35430i −0.914703 0.404127i \(-0.867575\pi\)
0.311730 0.950171i \(-0.399091\pi\)
\(350\) 4.14099 + 3.00861i 0.221345 + 0.160817i
\(351\) −2.63569 5.17466i −0.140683 0.276203i
\(352\) 4.14666 3.01273i 0.221018 0.160579i
\(353\) −5.72923 + 26.9539i −0.304936 + 1.43461i 0.512548 + 0.858659i \(0.328702\pi\)
−0.817484 + 0.575952i \(0.804632\pi\)
\(354\) 5.06105 + 5.62086i 0.268992 + 0.298746i
\(355\) −1.49199 + 14.1954i −0.0791868 + 0.753412i
\(356\) −6.12852 1.99128i −0.324811 0.105537i
\(357\) −0.170162 0.800548i −0.00900592 0.0423695i
\(358\) −40.2115 4.22640i −2.12524 0.223372i
\(359\) 29.7536 + 9.66754i 1.57034 + 0.510233i 0.959544 0.281557i \(-0.0908509\pi\)
0.610793 + 0.791791i \(0.290851\pi\)
\(360\) −23.5060 + 26.1060i −1.23887 + 1.37591i
\(361\) −1.18103 11.2367i −0.0621592 0.591405i
\(362\) −4.01106 + 18.8706i −0.210817 + 0.991815i
\(363\) 0.0594297 + 0.0431782i 0.00311925 + 0.00226627i
\(364\) −6.83666 10.5308i −0.358338 0.551966i
\(365\) 21.7318 15.7891i 1.13750 0.826439i
\(366\) −3.13330 1.80901i −0.163780 0.0945587i
\(367\) 1.43292 2.48188i 0.0747976 0.129553i −0.826201 0.563376i \(-0.809502\pi\)
0.900998 + 0.433823i \(0.142836\pi\)
\(368\) 18.6184 + 8.28943i 0.970549 + 0.432116i
\(369\) 1.39454 + 0.453113i 0.0725968 + 0.0235881i
\(370\) 4.96058 + 4.46653i 0.257888 + 0.232204i
\(371\) 10.6600 6.15454i 0.553439 0.319528i
\(372\) −5.32688 + 2.30343i −0.276186 + 0.119427i
\(373\) −1.83806 3.18362i −0.0951713 0.164842i 0.814509 0.580151i \(-0.197007\pi\)
−0.909680 + 0.415310i \(0.863673\pi\)
\(374\) −26.3078 5.59190i −1.36035 0.289150i
\(375\) 1.45837 1.31312i 0.0753100 0.0678095i
\(376\) −2.24235 + 1.62917i −0.115641 + 0.0840178i
\(377\) −6.97235 + 18.1558i −0.359094 + 0.935071i
\(378\) −3.53262 −0.181698
\(379\) 34.9745 3.67597i 1.79652 0.188822i 0.853397 0.521261i \(-0.174538\pi\)
0.943125 + 0.332439i \(0.107872\pi\)
\(380\) −26.3309 + 11.7233i −1.35074 + 0.601390i
\(381\) −0.301673 + 2.87023i −0.0154552 + 0.147046i
\(382\) 15.6507 5.08522i 0.800759 0.260182i
\(383\) −1.41237 + 3.17223i −0.0721686 + 0.162093i −0.946028 0.324086i \(-0.894943\pi\)
0.873859 + 0.486179i \(0.161610\pi\)
\(384\) −4.14747 3.73440i −0.211650 0.190570i
\(385\) 7.85068 + 2.55084i 0.400108 + 0.130003i
\(386\) −3.73066 + 35.4949i −0.189886 + 1.80664i
\(387\) 3.63722 + 4.03954i 0.184890 + 0.205342i
\(388\) −11.5056 + 10.3597i −0.584110 + 0.525935i
\(389\) 6.82181 + 4.95634i 0.345880 + 0.251296i 0.747138 0.664668i \(-0.231427\pi\)
−0.401259 + 0.915965i \(0.631427\pi\)
\(390\) 5.98499 2.29644i 0.303062 0.116285i
\(391\) 6.87448 + 21.1575i 0.347658 + 1.06998i
\(392\) 27.2273 2.86170i 1.37518 0.144538i
\(393\) −5.68758 1.20893i −0.286901 0.0609826i
\(394\) −0.480235 + 4.56914i −0.0241939 + 0.230190i
\(395\) −7.55408 + 10.3973i −0.380087 + 0.523145i
\(396\) −15.3237 + 34.4175i −0.770043 + 1.72955i
\(397\) 16.6547 9.61560i 0.835876 0.482593i −0.0199846 0.999800i \(-0.506362\pi\)
0.855860 + 0.517207i \(0.173028\pi\)
\(398\) 0.369097i 0.0185012i
\(399\) −0.625623 0.278545i −0.0313203 0.0139447i
\(400\) −4.74458 5.26939i −0.237229 0.263469i
\(401\) −1.70617 + 8.02690i −0.0852021 + 0.400844i −0.999995 0.00307820i \(-0.999020\pi\)
0.914793 + 0.403923i \(0.132354\pi\)
\(402\) −6.95744 −0.347005
\(403\) −20.0347 1.26883i −0.998001 0.0632051i
\(404\) 13.7810 0.685630
\(405\) −4.69614 + 22.0936i −0.233353 + 1.09784i
\(406\) 7.91637 + 8.79202i 0.392883 + 0.436341i
\(407\) 3.12944 + 1.39332i 0.155121 + 0.0690641i
\(408\) 3.99598i 0.197830i
\(409\) −25.8331 + 14.9148i −1.27737 + 0.737488i −0.976363 0.216136i \(-0.930655\pi\)
−0.301003 + 0.953623i \(0.597321\pi\)
\(410\) −1.33332 + 2.99468i −0.0658479 + 0.147897i
\(411\) 2.65423 3.65324i 0.130924 0.180201i
\(412\) 4.35800 41.4636i 0.214703 2.04277i
\(413\) 10.2318 + 2.17483i 0.503473 + 0.107016i
\(414\) 47.1529 4.95597i 2.31744 0.243573i
\(415\) −9.16158 28.1964i −0.449724 1.38411i
\(416\) −1.97202 5.13950i −0.0966864 0.251985i
\(417\) −4.08851 2.97047i −0.200215 0.145465i
\(418\) −16.7245 + 15.0588i −0.818023 + 0.736551i
\(419\) 10.7989 + 11.9934i 0.527562 + 0.585916i 0.946745 0.321985i \(-0.104350\pi\)
−0.419183 + 0.907902i \(0.637683\pi\)
\(420\) 0.267906 2.54895i 0.0130725 0.124376i
\(421\) 28.1844 + 9.15767i 1.37362 + 0.446318i 0.900568 0.434715i \(-0.143151\pi\)
0.473056 + 0.881032i \(0.343151\pi\)
\(422\) 4.21319 + 3.79358i 0.205095 + 0.184668i
\(423\) −0.744120 + 1.67132i −0.0361803 + 0.0812624i
\(424\) −57.1573 + 18.5715i −2.77581 + 0.901914i
\(425\) 0.809036 7.69746i 0.0392440 0.373382i
\(426\) 3.16122 1.40747i 0.153162 0.0681920i
\(427\) −4.97626 + 0.523026i −0.240818 + 0.0253110i
\(428\) 14.2368 0.688160
\(429\) 2.55693 2.06995i 0.123450 0.0999382i
\(430\) −9.83133 + 7.14288i −0.474109 + 0.344460i
\(431\) 17.8837 16.1025i 0.861426 0.775632i −0.114571 0.993415i \(-0.536549\pi\)
0.975997 + 0.217783i \(0.0698826\pi\)
\(432\) 4.78675 + 1.01746i 0.230303 + 0.0489524i
\(433\) 14.6092 + 25.3039i 0.702074 + 1.21603i 0.967737 + 0.251962i \(0.0810759\pi\)
−0.265663 + 0.964066i \(0.585591\pi\)
\(434\) −6.21917 + 10.5095i −0.298530 + 0.504473i
\(435\) −3.43823 + 1.98506i −0.164851 + 0.0951765i
\(436\) −19.6802 17.7201i −0.942509 0.848639i
\(437\) 17.7037 + 5.75227i 0.846882 + 0.275169i
\(438\) −5.94923 2.64877i −0.284265 0.126563i
\(439\) 3.35045 5.80315i 0.159908 0.276969i −0.774927 0.632051i \(-0.782213\pi\)
0.934835 + 0.355081i \(0.115547\pi\)
\(440\) −34.9037 20.1517i −1.66397 0.960692i
\(441\) 14.6194 10.6216i 0.696163 0.505792i
\(442\) −13.1176 + 25.7356i −0.623940 + 1.22412i
\(443\) 20.3766 + 14.8044i 0.968119 + 0.703380i 0.955022 0.296534i \(-0.0958309\pi\)
0.0130972 + 0.999914i \(0.495831\pi\)
\(444\) 0.221138 1.04037i 0.0104947 0.0493738i
\(445\) −0.475617 4.52520i −0.0225464 0.214515i
\(446\) 16.4204 18.2367i 0.777530 0.863534i
\(447\) −3.42576 1.11310i −0.162033 0.0526478i
\(448\) −8.81758 0.926765i −0.416591 0.0437855i
\(449\) −7.49326 35.2530i −0.353629 1.66369i −0.691405 0.722467i \(-0.743008\pi\)
0.337776 0.941226i \(-0.390325\pi\)
\(450\) −15.6883 5.09744i −0.739554 0.240296i
\(451\) −0.175846 + 1.67306i −0.00828027 + 0.0787815i
\(452\) −40.7922 45.3044i −1.91871 2.13094i
\(453\) −0.162595 + 0.764950i −0.00763938 + 0.0359405i
\(454\) −14.7217 + 10.6959i −0.690924 + 0.501986i
\(455\) 4.82958 7.43457i 0.226414 0.348538i
\(456\) 2.70508 + 1.96536i 0.126677 + 0.0920362i
\(457\) 0.374653 + 0.841485i 0.0175255 + 0.0393630i 0.922096 0.386961i \(-0.126475\pi\)
−0.904571 + 0.426324i \(0.859808\pi\)
\(458\) −6.52746 62.1046i −0.305008 2.90196i
\(459\) 2.67087 + 4.62609i 0.124666 + 0.215927i
\(460\) 69.6662i 3.24821i
\(461\) −13.5055 + 30.3338i −0.629012 + 1.41278i 0.264783 + 0.964308i \(0.414700\pi\)
−0.893795 + 0.448476i \(0.851967\pi\)
\(462\) −0.416075 1.95748i −0.0193576 0.0910702i
\(463\) −16.8603 + 5.47823i −0.783563 + 0.254595i −0.673361 0.739314i \(-0.735150\pi\)
−0.110202 + 0.993909i \(0.535150\pi\)
\(464\) −8.19455 14.1934i −0.380422 0.658911i
\(465\) −3.01575 2.77464i −0.139852 0.128671i
\(466\) −31.2739 18.0560i −1.44874 0.836428i
\(467\) −4.70082 14.4676i −0.217528 0.669482i −0.998964 0.0454973i \(-0.985513\pi\)
0.781437 0.623985i \(-0.214487\pi\)
\(468\) 31.4417 + 25.4684i 1.45339 + 1.17728i
\(469\) −7.78438 + 5.65568i −0.359449 + 0.261155i
\(470\) −3.54206 2.04501i −0.163383 0.0943293i
\(471\) −2.33460 + 4.04364i −0.107573 + 0.186321i
\(472\) −46.6570 20.7730i −2.14756 0.956156i
\(473\) −3.66565 + 5.04533i −0.168547 + 0.231985i
\(474\) 3.09863 + 0.325679i 0.142325 + 0.0149589i
\(475\) −4.81289 4.33355i −0.220831 0.198837i
\(476\) 6.78834 + 9.34334i 0.311143 + 0.428251i
\(477\) −26.5436 + 29.4796i −1.21535 + 1.34978i
\(478\) 15.4780 + 17.1900i 0.707946 + 0.786254i
\(479\) 3.97795 + 8.93461i 0.181757 + 0.408233i 0.981329 0.192338i \(-0.0616069\pi\)
−0.799572 + 0.600570i \(0.794940\pi\)
\(480\) 0.347252 1.06873i 0.0158498 0.0487807i
\(481\) 2.31574 2.85886i 0.105589 0.130353i
\(482\) −35.0265 25.4483i −1.59541 1.15914i
\(483\) −1.23011 + 1.10760i −0.0559719 + 0.0503973i
\(484\) −1.01394 0.215519i −0.0460881 0.00979634i
\(485\) −9.98714 4.44656i −0.453493 0.201908i
\(486\) 16.3086 5.29900i 0.739775 0.240368i
\(487\) 36.3009 + 3.81538i 1.64495 + 0.172891i 0.881241 0.472667i \(-0.156709\pi\)
0.763711 + 0.645558i \(0.223375\pi\)
\(488\) 24.2965 + 2.55366i 1.09985 + 0.115599i
\(489\) −1.26135 1.73609i −0.0570401 0.0785089i
\(490\) 20.1994 + 34.9864i 0.912516 + 1.58052i
\(491\) 9.05488 15.6835i 0.408641 0.707787i −0.586097 0.810241i \(-0.699336\pi\)
0.994738 + 0.102454i \(0.0326695\pi\)
\(492\) 0.519469 0.0545984i 0.0234195 0.00246148i
\(493\) 5.52820 17.0140i 0.248978 0.766274i
\(494\) 10.9701 + 21.5376i 0.493566 + 0.969022i
\(495\) −26.6026 −1.19570
\(496\) 11.4540 12.4493i 0.514300 0.558992i
\(497\) 2.39283 4.14450i 0.107333 0.185906i
\(498\) −4.80940 + 5.34138i −0.215515 + 0.239353i
\(499\) 32.0381 + 10.4098i 1.43422 + 0.466007i 0.920091 0.391705i \(-0.128115\pi\)
0.514130 + 0.857712i \(0.328115\pi\)
\(500\) −11.2634 + 25.2980i −0.503715 + 1.13136i
\(501\) 0.497053 0.286973i 0.0222067 0.0128210i
\(502\) 4.94015i 0.220490i
\(503\) −18.1066 8.06156i −0.807331 0.359447i −0.0387902 0.999247i \(-0.512350\pi\)
−0.768541 + 0.639800i \(0.779017\pi\)
\(504\) 10.7599 4.79060i 0.479282 0.213390i
\(505\) 3.95793 + 8.88965i 0.176125 + 0.395584i
\(506\) 16.8093 + 51.7338i 0.747265 + 2.29985i
\(507\) −1.43616 3.22816i −0.0637821 0.143368i
\(508\) −12.5848 38.7320i −0.558360 1.71846i
\(509\) −13.9647 + 12.5739i −0.618976 + 0.557329i −0.917832 0.396970i \(-0.870062\pi\)
0.298855 + 0.954298i \(0.403395\pi\)
\(510\) −5.38681 + 2.39836i −0.238532 + 0.106201i
\(511\) −8.80952 + 1.87252i −0.389710 + 0.0828354i
\(512\) 30.0323 + 9.75807i 1.32725 + 0.431250i
\(513\) 4.44526 + 0.467216i 0.196263 + 0.0206281i
\(514\) −10.6986 50.3327i −0.471893 2.22008i
\(515\) 27.9984 9.09723i 1.23376 0.400872i
\(516\) 1.76892 + 0.787576i 0.0778726 + 0.0346711i
\(517\) −2.05309 0.436397i −0.0902946 0.0191927i
\(518\) −0.910294 2.04455i −0.0399960 0.0898325i
\(519\) −1.15204 0.837008i −0.0505691 0.0367406i
\(520\) −30.6120 + 30.6032i −1.34243 + 1.34204i
\(521\) −4.66220 −0.204255 −0.102127 0.994771i \(-0.532565\pi\)
−0.102127 + 0.994771i \(0.532565\pi\)
\(522\) −33.0193 19.0637i −1.44522 0.834397i
\(523\) −2.90087 27.5999i −0.126846 1.20686i −0.853959 0.520341i \(-0.825805\pi\)
0.727113 0.686518i \(-0.240862\pi\)
\(524\) 80.2581 17.0594i 3.50609 0.745243i
\(525\) 0.547712 0.177962i 0.0239041 0.00776691i
\(526\) −53.7539 + 31.0349i −2.34378 + 1.35318i
\(527\) 18.4647 + 0.198389i 0.804333 + 0.00864194i
\(528\) 2.77225i 0.120647i
\(529\) 14.7162 16.3440i 0.639834 0.710607i
\(530\) −59.3411 65.9049i −2.57761 2.86273i
\(531\) −33.5261 + 3.52374i −1.45491 + 0.152917i
\(532\) 9.66372 0.418975
\(533\) 1.68667 + 0.647730i 0.0730578 + 0.0280563i
\(534\) −0.892428 + 0.648387i −0.0386191 + 0.0280584i
\(535\) 4.08882 + 9.18365i 0.176775 + 0.397044i
\(536\) 42.9177 19.1082i 1.85376 0.825348i
\(537\) −3.04400 + 3.38071i −0.131358 + 0.145888i
\(538\) 4.70670 + 6.47821i 0.202920 + 0.279296i
\(539\) 15.4070 + 13.8726i 0.663628 + 0.597534i
\(540\) 3.47798 + 16.3626i 0.149668 + 0.704134i
\(541\) 0.00523310 0.00720274i 0.000224989 0.000309670i −0.808904 0.587940i \(-0.799939\pi\)
0.809129 + 0.587630i \(0.199939\pi\)
\(542\) −65.1256 + 13.8429i −2.79738 + 0.594602i
\(543\) 1.45241 + 1.61307i 0.0623290 + 0.0692233i
\(544\) 2.05955 + 4.62582i 0.0883025 + 0.198331i
\(545\) 5.77845 17.7843i 0.247522 0.761794i
\(546\) −2.14634 0.112794i −0.0918549 0.00482713i
\(547\) 27.5565 20.0210i 1.17823 0.856034i 0.186259 0.982501i \(-0.440364\pi\)
0.991971 + 0.126466i \(0.0403635\pi\)
\(548\) −13.2483 + 62.3285i −0.565940 + 2.66254i
\(549\) 14.7313 6.55881i 0.628718 0.279923i
\(550\) 1.97823 18.8216i 0.0843522 0.802557i
\(551\) −8.79872 12.1104i −0.374838 0.515920i
\(552\) 6.99907 4.04092i 0.297900 0.171993i
\(553\) 3.73167 2.15448i 0.158687 0.0916178i
\(554\) −3.86272 5.31658i −0.164111 0.225880i
\(555\) 0.734619 0.156148i 0.0311828 0.00662811i
\(556\) 69.7546 + 14.8268i 2.95825 + 0.628796i
\(557\) 16.7878 + 9.69247i 0.711324 + 0.410683i 0.811551 0.584282i \(-0.198624\pi\)
−0.100227 + 0.994965i \(0.531957\pi\)
\(558\) 8.59552 38.4051i 0.363878 1.62582i
\(559\) 4.21436 + 5.20582i 0.178248 + 0.220183i
\(560\) 2.30863 + 7.10524i 0.0975575 + 0.300251i
\(561\) −2.24881 + 2.02484i −0.0949448 + 0.0854887i
\(562\) 5.82445 + 55.4159i 0.245689 + 2.33758i
\(563\) −9.50376 16.4610i −0.400536 0.693748i 0.593255 0.805015i \(-0.297843\pi\)
−0.993791 + 0.111267i \(0.964509\pi\)
\(564\) 0.651703i 0.0274417i
\(565\) 17.5087 39.3252i 0.736597 1.65442i
\(566\) 62.5629 + 6.57562i 2.62971 + 0.276394i
\(567\) 4.45133 6.12673i 0.186938 0.257299i
\(568\) −15.6348 + 17.3642i −0.656022 + 0.728586i
\(569\) 3.96484 + 37.7230i 0.166215 + 1.58143i 0.686302 + 0.727316i \(0.259233\pi\)
−0.520087 + 0.854113i \(0.674101\pi\)
\(570\) −1.02584 + 4.82620i −0.0429678 + 0.202147i
\(571\) −3.20840 + 9.87445i −0.134268 + 0.413233i −0.995475 0.0950200i \(-0.969709\pi\)
0.861208 + 0.508253i \(0.169709\pi\)
\(572\) −21.0812 + 41.3596i −0.881451 + 1.72933i
\(573\) 0.572148 1.76089i 0.0239018 0.0735622i
\(574\) 0.816777 0.735429i 0.0340916 0.0306962i
\(575\) −14.3005 + 6.36698i −0.596371 + 0.265521i
\(576\) 27.9487 5.94068i 1.16453 0.247529i
\(577\) 4.23404 1.37572i 0.176265 0.0572721i −0.219555 0.975600i \(-0.570460\pi\)
0.395820 + 0.918328i \(0.370460\pi\)
\(578\) −5.89566 + 13.2419i −0.245227 + 0.550789i
\(579\) 2.98417 + 2.68696i 0.124018 + 0.111666i
\(580\) 32.9295 45.3235i 1.36732 1.88196i
\(581\) −1.03904 + 9.88580i −0.0431066 + 0.410132i
\(582\) 0.277037 + 2.63583i 0.0114836 + 0.109259i
\(583\) −39.4142 22.7558i −1.63237 0.942449i
\(584\) 43.9732 1.81962
\(585\) −7.39872 + 27.5965i −0.305899 + 1.14098i
\(586\) −10.2549 + 31.5612i −0.423624 + 1.30378i
\(587\) 1.14545 5.38892i 0.0472778 0.222425i −0.948166 0.317776i \(-0.897064\pi\)
0.995444 + 0.0953511i \(0.0303974\pi\)
\(588\) 3.21857 5.57473i 0.132732 0.229898i
\(589\) 9.21584 12.4021i 0.379732 0.511019i
\(590\) 75.3642i 3.10270i
\(591\) 0.384142 + 0.345883i 0.0158015 + 0.0142277i
\(592\) 0.644595 + 3.03258i 0.0264927 + 0.124638i
\(593\) 16.3095 + 22.4481i 0.669751 + 0.921833i 0.999755 0.0221469i \(-0.00705016\pi\)
−0.330004 + 0.943979i \(0.607050\pi\)
\(594\) 6.53075 + 11.3116i 0.267960 + 0.464120i
\(595\) −4.07745 + 7.06235i −0.167159 + 0.289528i
\(596\) 50.5507 5.31309i 2.07064 0.217633i
\(597\) 0.0335967 + 0.0244094i 0.00137502 + 0.000999011i
\(598\) 58.3418 3.04916i 2.38577 0.124690i
\(599\) −13.9320 42.8782i −0.569244 1.75195i −0.654991 0.755637i \(-0.727327\pi\)
0.0857462 0.996317i \(-0.472673\pi\)
\(600\) −2.79640 + 0.293914i −0.114163 + 0.0119990i
\(601\) 5.90812 + 1.25581i 0.240997 + 0.0512256i 0.326827 0.945084i \(-0.394021\pi\)
−0.0858294 + 0.996310i \(0.527354\pi\)
\(602\) 3.98537 0.847116i 0.162431 0.0345259i
\(603\) 18.2267 25.0869i 0.742248 1.02162i
\(604\) −2.29440 10.7943i −0.0933578 0.439214i
\(605\) −0.152181 0.715955i −0.00618704 0.0291077i
\(606\) 1.38665 1.90855i 0.0563286 0.0775297i
\(607\) −8.91795 + 1.89557i −0.361968 + 0.0769388i −0.385306 0.922789i \(-0.625904\pi\)
0.0233375 + 0.999728i \(0.492571\pi\)
\(608\) 4.14441 + 0.880922i 0.168078 + 0.0357261i
\(609\) 1.32382 0.139139i 0.0536438 0.00563819i
\(610\) 11.1401 + 34.2858i 0.451050 + 1.38819i
\(611\) −1.02371 + 2.00843i −0.0414148 + 0.0812523i
\(612\) −30.1110 21.8769i −1.21716 0.884322i
\(613\) −25.6780 + 2.69887i −1.03712 + 0.109006i −0.607757 0.794123i \(-0.707930\pi\)
−0.429368 + 0.903130i \(0.641264\pi\)
\(614\) −29.7301 + 51.4940i −1.19981 + 2.07813i
\(615\) 0.184412 + 0.319411i 0.00743621 + 0.0128799i
\(616\) 7.94271 + 10.9322i 0.320021 + 0.440471i
\(617\) 2.17828 + 10.2480i 0.0876941 + 0.412568i 0.999995 + 0.00304855i \(0.000970385\pi\)
−0.912301 + 0.409520i \(0.865696\pi\)
\(618\) −5.30387 4.77562i −0.213353 0.192104i
\(619\) 25.5704i 1.02776i 0.857862 + 0.513881i \(0.171793\pi\)
−0.857862 + 0.513881i \(0.828207\pi\)
\(620\) 54.8016 + 18.4594i 2.20089 + 0.741346i
\(621\) 5.40182 9.35623i 0.216768 0.375452i
\(622\) −3.57361 + 16.8125i −0.143289 + 0.674119i
\(623\) −0.471428 + 1.45090i −0.0188873 + 0.0581293i
\(624\) 2.87584 + 0.771020i 0.115126 + 0.0308655i
\(625\) −31.2223 −1.24889
\(626\) −59.1558 34.1536i −2.36434 1.36505i
\(627\) 0.264675 + 2.51822i 0.0105701 + 0.100568i
\(628\) 6.88713 65.5266i 0.274826 2.61480i
\(629\) −1.98918 + 2.73787i −0.0793136 + 0.109166i
\(630\) 12.9160 + 11.6296i 0.514587 + 0.463336i
\(631\) 6.18540 13.8926i 0.246237 0.553057i −0.747569 0.664184i \(-0.768779\pi\)
0.993806 + 0.111127i \(0.0354459\pi\)
\(632\) −20.0087 + 6.50121i −0.795903 + 0.258604i
\(633\) 0.623937 0.132622i 0.0247993 0.00527125i
\(634\) 55.6811 24.7908i 2.21138 0.984569i
\(635\) 21.3703 19.2419i 0.848056 0.763593i
\(636\) −4.36668 + 13.4393i −0.173150 + 0.532901i
\(637\) 18.6759 12.1245i 0.739967 0.480389i
\(638\) 13.5174 41.6023i 0.535160 1.64705i
\(639\) −3.20659 + 15.0858i −0.126851 + 0.596786i
\(640\) 5.81273 + 55.3044i 0.229768 + 2.18610i
\(641\) −22.0939 + 24.5377i −0.872656 + 0.969183i −0.999742 0.0227089i \(-0.992771\pi\)
0.127086 + 0.991892i \(0.459438\pi\)
\(642\) 1.43250 1.97167i 0.0565365 0.0778157i
\(643\) −23.2766 2.44647i −0.917941 0.0964795i −0.366239 0.930521i \(-0.619355\pi\)
−0.551702 + 0.834041i \(0.686021\pi\)
\(644\) 9.50047 21.3384i 0.374371 0.840851i
\(645\) 1.36727i 0.0538361i
\(646\) −11.1165 19.2543i −0.437373 0.757552i
\(647\) −1.41394 13.4527i −0.0555877 0.528881i −0.986514 0.163675i \(-0.947665\pi\)
0.930927 0.365206i \(-0.119002\pi\)
\(648\) −27.4780 + 24.7413i −1.07944 + 0.971929i
\(649\) −11.9516 36.7832i −0.469140 1.44387i
\(650\) −18.9747 7.28683i −0.744249 0.285813i
\(651\) 0.545328 + 1.26112i 0.0213731 + 0.0494272i
\(652\) 26.2245 + 15.1408i 1.02703 + 0.592958i
\(653\) −35.2442 7.49138i −1.37921 0.293160i −0.542156 0.840278i \(-0.682392\pi\)
−0.837056 + 0.547118i \(0.815725\pi\)
\(654\) −4.43431 + 0.942542i −0.173395 + 0.0368563i
\(655\) 34.0547 + 46.8723i 1.33063 + 1.83145i
\(656\) −1.31856 + 0.761271i −0.0514812 + 0.0297227i
\(657\) 25.1363 14.5124i 0.980660 0.566184i
\(658\) 0.806034 + 1.10941i 0.0314225 + 0.0432493i
\(659\) 3.01945 28.7282i 0.117621 1.11909i −0.763371 0.645960i \(-0.776457\pi\)
0.880993 0.473130i \(-0.156876\pi\)
\(660\) −8.65713 + 3.85440i −0.336978 + 0.150032i
\(661\) 1.57949 7.43091i 0.0614350 0.289029i −0.936696 0.350145i \(-0.886132\pi\)
0.998131 + 0.0611155i \(0.0194658\pi\)
\(662\) 28.4245 20.6516i 1.10475 0.802647i
\(663\) 1.47505 + 2.89598i 0.0572863 + 0.112471i
\(664\) 14.9975 46.1576i 0.582017 1.79126i
\(665\) 2.77544 + 6.23374i 0.107627 + 0.241734i
\(666\) 4.82616 + 5.36000i 0.187010 + 0.207696i
\(667\) −35.3910 + 7.52259i −1.37034 + 0.291276i
\(668\) −4.76049 + 6.55226i −0.184189 + 0.253514i
\(669\) −0.574052 2.70070i −0.0221941 0.104415i
\(670\) 51.5179 + 46.3869i 1.99031 + 1.79208i
\(671\) 10.8744 + 14.9673i 0.419800 + 0.577805i
\(672\) −0.252105 + 0.279992i −0.00972518 + 0.0108009i
\(673\) −24.5970 + 10.9513i −0.948143 + 0.422141i −0.821756 0.569840i \(-0.807005\pi\)
−0.126388 + 0.991981i \(0.540338\pi\)
\(674\) 7.40828 + 16.6393i 0.285356 + 0.640921i
\(675\) −3.04091 + 2.20935i −0.117045 + 0.0850379i
\(676\) 37.0418 + 33.3719i 1.42469 + 1.28353i
\(677\) −3.80935 −0.146405 −0.0732027 0.997317i \(-0.523322\pi\)
−0.0732027 + 0.997317i \(0.523322\pi\)
\(678\) −10.3788 + 1.09086i −0.398596 + 0.0418941i
\(679\) 2.45262 + 2.72392i 0.0941231 + 0.104534i
\(680\) 26.6422 29.5891i 1.02168 1.13469i
\(681\) 2.04738i 0.0784559i
\(682\) 45.1493 + 0.485095i 1.72886 + 0.0185752i
\(683\) −3.15330 + 1.82056i −0.120658 + 0.0696618i −0.559114 0.829091i \(-0.688859\pi\)
0.438456 + 0.898752i \(0.355525\pi\)
\(684\) −29.6192 + 9.62386i −1.13252 + 0.367977i
\(685\) −44.0109 + 9.35481i −1.68157 + 0.357429i
\(686\) −3.02067 28.7398i −0.115330 1.09729i
\(687\) −6.08469 3.51300i −0.232145 0.134029i
\(688\) −5.64422 −0.215184
\(689\) −34.5679 + 34.5580i −1.31693 + 1.31656i
\(690\) 9.64820 + 7.00983i 0.367301 + 0.266860i
\(691\) 11.2307 + 25.2246i 0.427236 + 0.959589i 0.991026 + 0.133670i \(0.0426762\pi\)
−0.563790 + 0.825918i \(0.690657\pi\)
\(692\) 19.6552 + 4.17784i 0.747178 + 0.158818i
\(693\) 8.14822 + 3.62782i 0.309525 + 0.137810i
\(694\) 32.0244 10.4054i 1.21563 0.394982i
\(695\) 10.4694 + 49.2546i 0.397127 + 1.86833i
\(696\) −6.46350 0.679342i −0.244998 0.0257504i
\(697\) −1.58060 0.513569i −0.0598695 0.0194528i
\(698\) 65.4379 13.9092i 2.47686 0.526473i
\(699\) −3.71176 + 1.65258i −0.140392 + 0.0625065i
\(700\) −6.03922 + 5.43773i −0.228261 + 0.205527i
\(701\) −7.54579 23.2235i −0.285000 0.877141i −0.986399 0.164371i \(-0.947440\pi\)
0.701398 0.712770i \(-0.252560\pi\)
\(702\) 13.5506 3.62878i 0.511434 0.136960i
\(703\) 0.875057 + 2.69315i 0.0330034 + 0.101574i
\(704\) 13.3335 + 29.9475i 0.502525 + 1.12869i
\(705\) −0.420392 + 0.187170i −0.0158329 + 0.00704925i
\(706\) −60.8100 27.0744i −2.28861 1.01896i
\(707\) 3.26260i 0.122703i
\(708\) −10.3997 + 6.00426i −0.390844 + 0.225654i
\(709\) −4.52914 + 10.1726i −0.170095 + 0.382040i −0.978399 0.206725i \(-0.933719\pi\)
0.808304 + 0.588766i \(0.200386\pi\)
\(710\) −32.7919 10.6547i −1.23066 0.399865i
\(711\) −9.29193 + 10.3197i −0.348475 + 0.387020i
\(712\) 3.72428 6.45064i 0.139573 0.241748i
\(713\) −18.3248 32.5420i −0.686270 1.21871i
\(714\) 1.97702 0.0739881
\(715\) −32.7342 1.72024i −1.22419 0.0643334i
\(716\) 19.8371 61.0523i 0.741347 2.28163i
\(717\) 2.58831 0.272042i 0.0966622 0.0101596i
\(718\) −37.7861 + 65.4474i −1.41016 + 2.44247i
\(719\) −4.14378 7.17723i −0.154537 0.267666i 0.778353 0.627826i \(-0.216055\pi\)
−0.932890 + 0.360161i \(0.882722\pi\)
\(720\) −14.1519 19.4784i −0.527409 0.725916i
\(721\) −9.81636 1.03174i −0.365580 0.0384240i
\(722\) 27.1436 + 2.85290i 1.01018 + 0.106174i
\(723\) −4.63281 + 1.50529i −0.172296 + 0.0559824i
\(724\) −27.9815 12.4582i −1.03992 0.463004i
\(725\) 12.3131 + 2.61723i 0.457298 + 0.0972017i
\(726\) −0.131870 + 0.118737i −0.00489417 + 0.00440673i
\(727\) −3.34139 2.42766i −0.123925 0.0900370i 0.524096 0.851659i \(-0.324403\pi\)
−0.648021 + 0.761622i \(0.724403\pi\)
\(728\) 13.5497 5.19901i 0.502186 0.192688i
\(729\) −7.13601 + 21.9624i −0.264297 + 0.813421i
\(730\) 26.3924 + 59.2784i 0.976828 + 2.19399i
\(731\) −4.12250 4.57850i −0.152476 0.169342i
\(732\) 3.84364 4.26880i 0.142065 0.157779i
\(733\) −14.3344 19.7297i −0.529455 0.728732i 0.457593 0.889162i \(-0.348712\pi\)
−0.987047 + 0.160430i \(0.948712\pi\)
\(734\) 5.14460 + 4.63222i 0.189891 + 0.170978i
\(735\) 4.52045 + 0.475118i 0.166739 + 0.0175250i
\(736\) 6.01956 8.28521i 0.221884 0.305397i
\(737\) 32.5007 + 14.4702i 1.19718 + 0.533018i
\(738\) −1.77102 + 3.06749i −0.0651920 + 0.112916i
\(739\) −7.07114 4.08252i −0.260116 0.150178i 0.364272 0.931293i \(-0.381318\pi\)
−0.624387 + 0.781115i \(0.714651\pi\)
\(740\) −8.57387 + 6.22928i −0.315182 + 0.228993i
\(741\) 2.68592 + 0.425803i 0.0986697 + 0.0156423i
\(742\) 9.18832 + 28.2787i 0.337314 + 1.03815i
\(743\) −7.23496 4.17711i −0.265425 0.153243i 0.361382 0.932418i \(-0.382305\pi\)
−0.626807 + 0.779175i \(0.715638\pi\)
\(744\) −1.32418 6.57640i −0.0485466 0.241103i
\(745\) 17.9456 + 31.0826i 0.657474 + 1.13878i
\(746\) 8.44549 2.74411i 0.309211 0.100469i
\(747\) −6.66038 31.3346i −0.243690 1.14647i
\(748\) 17.3682 39.0096i 0.635043 1.42633i
\(749\) 3.37050i 0.123155i
\(750\) 2.37024 + 4.10538i 0.0865490 + 0.149907i
\(751\) −0.188979 1.79801i −0.00689593 0.0656104i 0.990533 0.137277i \(-0.0438350\pi\)
−0.997429 + 0.0716664i \(0.977168\pi\)
\(752\) −0.772659 1.73542i −0.0281760 0.0632842i
\(753\) 0.449672 + 0.326706i 0.0163870 + 0.0119058i
\(754\) −39.3973 25.5929i −1.43476 0.932040i
\(755\) 6.30408 4.58018i 0.229429