Properties

Label 384.2.w.a.131.33
Level $384$
Weight $2$
Character 384.131
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 131.33
Character \(\chi\) \(=\) 384.131
Dual form 384.2.w.a.299.33

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0871908 - 1.41152i) q^{2} +(1.16547 - 1.28128i) q^{3} +(-1.98480 - 0.246144i) q^{4} +(-0.108259 + 0.356883i) q^{5} +(-1.70693 - 1.75681i) q^{6} +(-0.537756 - 2.70348i) q^{7} +(-0.520493 + 2.78012i) q^{8} +(-0.283343 - 2.98659i) q^{9} +O(q^{10})\) \(q+(0.0871908 - 1.41152i) q^{2} +(1.16547 - 1.28128i) q^{3} +(-1.98480 - 0.246144i) q^{4} +(-0.108259 + 0.356883i) q^{5} +(-1.70693 - 1.75681i) q^{6} +(-0.537756 - 2.70348i) q^{7} +(-0.520493 + 2.78012i) q^{8} +(-0.283343 - 2.98659i) q^{9} +(0.494310 + 0.183928i) q^{10} +(-2.68099 + 0.264054i) q^{11} +(-2.62860 + 2.25620i) q^{12} +(-0.608731 - 2.00672i) q^{13} +(-3.86292 + 0.523337i) q^{14} +(0.331093 + 0.554648i) q^{15} +(3.87883 + 0.977089i) q^{16} +(1.76035 + 0.729163i) q^{17} +(-4.24035 + 0.139542i) q^{18} +(0.122089 - 0.228412i) q^{19} +(0.302717 - 0.681693i) q^{20} +(-4.09065 - 2.46182i) q^{21} +(0.138961 + 3.80730i) q^{22} +(-3.72397 - 5.57332i) q^{23} +(2.95549 + 3.90706i) q^{24} +(4.04170 + 2.70058i) q^{25} +(-2.88561 + 0.684271i) q^{26} +(-4.15688 - 3.11775i) q^{27} +(0.401891 + 5.49823i) q^{28} +(4.75894 + 0.468715i) q^{29} +(0.811767 - 0.418985i) q^{30} +(-0.807701 - 0.807701i) q^{31} +(1.71738 - 5.38986i) q^{32} +(-2.78629 + 3.74284i) q^{33} +(1.18272 - 2.42121i) q^{34} +(1.02305 + 0.100761i) q^{35} +(-0.172752 + 5.99751i) q^{36} +(-0.189028 - 0.353647i) q^{37} +(-0.311763 - 0.192246i) q^{38} +(-3.28062 - 1.55882i) q^{39} +(-0.935831 - 0.486730i) q^{40} +(1.36610 + 2.04451i) q^{41} +(-3.83159 + 5.55940i) q^{42} +(7.31434 + 6.00273i) q^{43} +(5.38621 + 0.135814i) q^{44} +(1.09654 + 0.222206i) q^{45} +(-8.19156 + 4.77053i) q^{46} +(7.57642 + 3.13825i) q^{47} +(5.77259 - 3.83108i) q^{48} +(-0.552487 + 0.228848i) q^{49} +(4.16433 - 5.46949i) q^{50} +(2.98591 - 1.40568i) q^{51} +(0.714266 + 4.13276i) q^{52} +(-2.90263 + 0.285884i) q^{53} +(-4.76322 + 5.59569i) q^{54} +(0.196006 - 0.985386i) q^{55} +(7.79592 - 0.0878843i) q^{56} +(-0.150368 - 0.422637i) q^{57} +(1.07654 - 6.67648i) q^{58} +(2.18980 - 7.21881i) q^{59} +(-0.520629 - 1.18236i) q^{60} +(-2.97258 + 2.43953i) q^{61} +(-1.21051 + 1.06966i) q^{62} +(-7.92183 + 2.37207i) q^{63} +(-7.45817 - 2.89407i) q^{64} +0.782065 q^{65} +(5.04016 + 4.25926i) q^{66} +(8.17809 + 9.96503i) q^{67} +(-3.31447 - 1.88054i) q^{68} +(-11.4812 - 1.72411i) q^{69} +(0.231427 - 1.43527i) q^{70} +(-3.16601 - 15.9166i) q^{71} +(8.45057 + 0.766772i) q^{72} +(-1.28192 - 0.254990i) q^{73} +(-0.515663 + 0.235983i) q^{74} +(8.17069 - 2.03109i) q^{75} +(-0.298543 + 0.423299i) q^{76} +(2.15559 + 7.10601i) q^{77} +(-2.48636 + 4.49476i) q^{78} +(-5.30524 - 12.8080i) q^{79} +(-0.768626 + 1.27851i) q^{80} +(-8.83943 + 1.69246i) q^{81} +(3.00499 - 1.75002i) q^{82} +(3.97026 - 7.42783i) q^{83} +(7.51315 + 5.89311i) q^{84} +(-0.450801 + 0.549303i) q^{85} +(9.11073 - 9.80098i) q^{86} +(6.14697 - 5.55125i) q^{87} +(0.661333 - 7.59092i) q^{88} +(7.46247 + 4.98626i) q^{89} +(0.409257 - 1.52842i) q^{90} +(-5.09778 + 2.72482i) q^{91} +(6.01948 + 11.9785i) q^{92} +(-1.97624 + 0.0935347i) q^{93} +(5.09031 - 10.4207i) q^{94} +(0.0682990 + 0.0682990i) q^{95} +(-4.90434 - 8.48218i) q^{96} +(7.19167 - 7.19167i) q^{97} +(0.274852 + 0.799801i) q^{98} +(1.54826 + 7.93219i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0871908 1.41152i 0.0616532 0.998098i
\(3\) 1.16547 1.28128i 0.672886 0.739746i
\(4\) −1.98480 0.246144i −0.992398 0.123072i
\(5\) −0.108259 + 0.356883i −0.0484151 + 0.159603i −0.977815 0.209472i \(-0.932825\pi\)
0.929400 + 0.369075i \(0.120325\pi\)
\(6\) −1.70693 1.75681i −0.696853 0.717214i
\(7\) −0.537756 2.70348i −0.203253 1.02182i −0.938830 0.344380i \(-0.888089\pi\)
0.735577 0.677441i \(-0.236911\pi\)
\(8\) −0.520493 + 2.78012i −0.184022 + 0.982922i
\(9\) −0.283343 2.98659i −0.0944476 0.995530i
\(10\) 0.494310 + 0.183928i 0.156315 + 0.0581630i
\(11\) −2.68099 + 0.264054i −0.808349 + 0.0796154i −0.493744 0.869607i \(-0.664372\pi\)
−0.314605 + 0.949223i \(0.601872\pi\)
\(12\) −2.62860 + 2.25620i −0.758813 + 0.651309i
\(13\) −0.608731 2.00672i −0.168832 0.556564i −1.00000 0.000542392i \(-0.999827\pi\)
0.831168 0.556021i \(-0.187673\pi\)
\(14\) −3.86292 + 0.523337i −1.03241 + 0.139868i
\(15\) 0.331093 + 0.554648i 0.0854879 + 0.143210i
\(16\) 3.87883 + 0.977089i 0.969707 + 0.244272i
\(17\) 1.76035 + 0.729163i 0.426949 + 0.176848i 0.585802 0.810454i \(-0.300780\pi\)
−0.158853 + 0.987302i \(0.550780\pi\)
\(18\) −4.24035 + 0.139542i −0.999459 + 0.0328903i
\(19\) 0.122089 0.228412i 0.0280090 0.0524012i −0.867527 0.497389i \(-0.834292\pi\)
0.895537 + 0.444988i \(0.146792\pi\)
\(20\) 0.302717 0.681693i 0.0676896 0.152431i
\(21\) −4.09065 2.46182i −0.892654 0.537214i
\(22\) 0.138961 + 3.80730i 0.0296267 + 0.811719i
\(23\) −3.72397 5.57332i −0.776502 1.16212i −0.982988 0.183667i \(-0.941203\pi\)
0.206487 0.978449i \(-0.433797\pi\)
\(24\) 2.95549 + 3.90706i 0.603286 + 0.797525i
\(25\) 4.04170 + 2.70058i 0.808340 + 0.540116i
\(26\) −2.88561 + 0.684271i −0.565914 + 0.134197i
\(27\) −4.15688 3.11775i −0.799991 0.600011i
\(28\) 0.401891 + 5.49823i 0.0759503 + 1.03907i
\(29\) 4.75894 + 0.468715i 0.883713 + 0.0870381i 0.529683 0.848196i \(-0.322311\pi\)
0.354030 + 0.935234i \(0.384811\pi\)
\(30\) 0.811767 0.418985i 0.148208 0.0764959i
\(31\) −0.807701 0.807701i −0.145067 0.145067i 0.630843 0.775910i \(-0.282709\pi\)
−0.775910 + 0.630843i \(0.782709\pi\)
\(32\) 1.71738 5.38986i 0.303593 0.952802i
\(33\) −2.78629 + 3.74284i −0.485032 + 0.651544i
\(34\) 1.18272 2.42121i 0.202834 0.415233i
\(35\) 1.02305 + 0.100761i 0.172926 + 0.0170317i
\(36\) −0.172752 + 5.99751i −0.0287921 + 0.999585i
\(37\) −0.189028 0.353647i −0.0310761 0.0581392i 0.865904 0.500210i \(-0.166744\pi\)
−0.896980 + 0.442071i \(0.854244\pi\)
\(38\) −0.311763 0.192246i −0.0505747 0.0311864i
\(39\) −3.28062 1.55882i −0.525320 0.249612i
\(40\) −0.935831 0.486730i −0.147968 0.0769587i
\(41\) 1.36610 + 2.04451i 0.213349 + 0.319300i 0.922673 0.385583i \(-0.126000\pi\)
−0.709324 + 0.704883i \(0.751000\pi\)
\(42\) −3.83159 + 5.55940i −0.591227 + 0.857835i
\(43\) 7.31434 + 6.00273i 1.11543 + 0.915407i 0.996988 0.0775541i \(-0.0247110\pi\)
0.118439 + 0.992961i \(0.462211\pi\)
\(44\) 5.38621 + 0.135814i 0.812002 + 0.0204748i
\(45\) 1.09654 + 0.222206i 0.163462 + 0.0331245i
\(46\) −8.19156 + 4.77053i −1.20778 + 0.703376i
\(47\) 7.57642 + 3.13825i 1.10513 + 0.457761i 0.859259 0.511540i \(-0.170925\pi\)
0.245875 + 0.969302i \(0.420925\pi\)
\(48\) 5.77259 3.83108i 0.833202 0.552969i
\(49\) −0.552487 + 0.228848i −0.0789267 + 0.0326925i
\(50\) 4.16433 5.46949i 0.588925 0.773503i
\(51\) 2.98591 1.40568i 0.418111 0.196835i
\(52\) 0.714266 + 4.13276i 0.0990509 + 0.573111i
\(53\) −2.90263 + 0.285884i −0.398707 + 0.0392692i −0.295384 0.955379i \(-0.595448\pi\)
−0.103323 + 0.994648i \(0.532948\pi\)
\(54\) −4.76322 + 5.59569i −0.648192 + 0.761477i
\(55\) 0.196006 0.985386i 0.0264294 0.132869i
\(56\) 7.79592 0.0878843i 1.04177 0.0117440i
\(57\) −0.150368 0.422637i −0.0199167 0.0559796i
\(58\) 1.07654 6.67648i 0.141356 0.876665i
\(59\) 2.18980 7.21881i 0.285088 0.939809i −0.691078 0.722781i \(-0.742864\pi\)
0.976165 0.217028i \(-0.0696363\pi\)
\(60\) −0.520629 1.18236i −0.0672129 0.152642i
\(61\) −2.97258 + 2.43953i −0.380599 + 0.312350i −0.805169 0.593045i \(-0.797925\pi\)
0.424570 + 0.905395i \(0.360425\pi\)
\(62\) −1.21051 + 1.06966i −0.153735 + 0.135847i
\(63\) −7.92183 + 2.37207i −0.998056 + 0.298853i
\(64\) −7.45817 2.89407i −0.932272 0.361759i
\(65\) 0.782065 0.0970032
\(66\) 5.04016 + 4.25926i 0.620401 + 0.524279i
\(67\) 8.17809 + 9.96503i 0.999112 + 1.21742i 0.976018 + 0.217689i \(0.0698517\pi\)
0.0230940 + 0.999733i \(0.492648\pi\)
\(68\) −3.31447 1.88054i −0.401938 0.228049i
\(69\) −11.4812 1.72411i −1.38217 0.207559i
\(70\) 0.231427 1.43527i 0.0276608 0.171547i
\(71\) −3.16601 15.9166i −0.375737 1.88896i −0.452256 0.891888i \(-0.649381\pi\)
0.0765188 0.997068i \(-0.475619\pi\)
\(72\) 8.45057 + 0.766772i 0.995909 + 0.0903649i
\(73\) −1.28192 0.254990i −0.150037 0.0298443i 0.119500 0.992834i \(-0.461871\pi\)
−0.269538 + 0.962990i \(0.586871\pi\)
\(74\) −0.515663 + 0.235983i −0.0599446 + 0.0274325i
\(75\) 8.17069 2.03109i 0.943470 0.234530i
\(76\) −0.298543 + 0.423299i −0.0342452 + 0.0485557i
\(77\) 2.15559 + 7.10601i 0.245652 + 0.809805i
\(78\) −2.48636 + 4.49476i −0.281524 + 0.508931i
\(79\) −5.30524 12.8080i −0.596886 1.44101i −0.876739 0.480967i \(-0.840286\pi\)
0.279853 0.960043i \(-0.409714\pi\)
\(80\) −0.768626 + 1.27851i −0.0859350 + 0.142942i
\(81\) −8.83943 + 1.69246i −0.982159 + 0.188051i
\(82\) 3.00499 1.75002i 0.331846 0.193257i
\(83\) 3.97026 7.42783i 0.435792 0.815310i −0.564154 0.825669i \(-0.690798\pi\)
0.999946 + 0.0103597i \(0.00329764\pi\)
\(84\) 7.51315 + 5.89311i 0.819752 + 0.642991i
\(85\) −0.450801 + 0.549303i −0.0488962 + 0.0595802i
\(86\) 9.11073 9.80098i 0.982435 1.05687i
\(87\) 6.14697 5.55125i 0.659024 0.595156i
\(88\) 0.661333 7.59092i 0.0704983 0.809195i
\(89\) 7.46247 + 4.98626i 0.791020 + 0.528543i 0.884201 0.467106i \(-0.154703\pi\)
−0.0931809 + 0.995649i \(0.529703\pi\)
\(90\) 0.409257 1.52842i 0.0431395 0.161109i
\(91\) −5.09778 + 2.72482i −0.534393 + 0.285639i
\(92\) 6.01948 + 11.9785i 0.627575 + 1.24885i
\(93\) −1.97624 + 0.0935347i −0.204927 + 0.00969910i
\(94\) 5.09031 10.4207i 0.525026 1.07481i
\(95\) 0.0682990 + 0.0682990i 0.00700733 + 0.00700733i
\(96\) −4.90434 8.48218i −0.500547 0.865709i
\(97\) 7.19167 7.19167i 0.730204 0.730204i −0.240456 0.970660i \(-0.577297\pi\)
0.970660 + 0.240456i \(0.0772970\pi\)
\(98\) 0.274852 + 0.799801i 0.0277642 + 0.0807921i
\(99\) 1.54826 + 7.93219i 0.155606 + 0.797216i
\(100\) −7.35722 6.35494i −0.735722 0.635494i
\(101\) 6.75364 + 12.6352i 0.672012 + 1.25725i 0.954567 + 0.297995i \(0.0963180\pi\)
−0.282555 + 0.959251i \(0.591182\pi\)
\(102\) −1.72381 4.33724i −0.170683 0.429451i
\(103\) −0.196613 + 0.294252i −0.0193728 + 0.0289935i −0.841030 0.540989i \(-0.818050\pi\)
0.821657 + 0.569983i \(0.193050\pi\)
\(104\) 5.89577 0.647865i 0.578127 0.0635284i
\(105\) 1.32144 1.19337i 0.128959 0.116461i
\(106\) 0.150449 + 4.12205i 0.0146129 + 0.400369i
\(107\) 8.08191 + 6.63265i 0.781308 + 0.641203i 0.938075 0.346433i \(-0.112607\pi\)
−0.156767 + 0.987636i \(0.550107\pi\)
\(108\) 7.48314 + 7.21129i 0.720065 + 0.693906i
\(109\) 0.928458 + 0.496271i 0.0889301 + 0.0475341i 0.515262 0.857033i \(-0.327695\pi\)
−0.426332 + 0.904567i \(0.640195\pi\)
\(110\) −1.37381 0.362583i −0.130987 0.0345709i
\(111\) −0.673428 0.169969i −0.0639189 0.0161327i
\(112\) 0.555681 11.0118i 0.0525069 1.04052i
\(113\) −11.9948 + 4.96842i −1.12838 + 0.467390i −0.867230 0.497908i \(-0.834102\pi\)
−0.261150 + 0.965298i \(0.584102\pi\)
\(114\) −0.609672 + 0.175397i −0.0571011 + 0.0164275i
\(115\) 2.39218 0.725659i 0.223072 0.0676681i
\(116\) −9.33015 2.10168i −0.866283 0.195137i
\(117\) −5.82076 + 2.38662i −0.538130 + 0.220643i
\(118\) −9.99858 3.72037i −0.920444 0.342488i
\(119\) 1.02464 5.15120i 0.0939284 0.472210i
\(120\) −1.71432 + 0.631789i −0.156496 + 0.0576742i
\(121\) −3.67066 + 0.730140i −0.333697 + 0.0663764i
\(122\) 3.18427 + 4.40857i 0.288291 + 0.399133i
\(123\) 4.21175 + 0.632474i 0.379760 + 0.0570282i
\(124\) 1.40431 + 1.80193i 0.126111 + 0.161818i
\(125\) −2.84278 + 2.33301i −0.254266 + 0.208671i
\(126\) 2.65752 + 11.3887i 0.236751 + 1.01458i
\(127\) 7.15901i 0.635259i 0.948215 + 0.317630i \(0.102887\pi\)
−0.948215 + 0.317630i \(0.897113\pi\)
\(128\) −4.73533 + 10.2750i −0.418548 + 0.908195i
\(129\) 16.2158 2.37568i 1.42772 0.209167i
\(130\) 0.0681889 1.10390i 0.00598056 0.0968187i
\(131\) −13.8884 16.9230i −1.21343 1.47857i −0.832549 0.553951i \(-0.813119\pi\)
−0.380885 0.924622i \(-0.624381\pi\)
\(132\) 6.45150 6.74294i 0.561531 0.586898i
\(133\) −0.683161 0.207235i −0.0592376 0.0179695i
\(134\) 14.7789 10.6747i 1.27670 0.922154i
\(135\) 1.56269 1.14599i 0.134495 0.0986315i
\(136\) −2.94342 + 4.51448i −0.252396 + 0.387113i
\(137\) 8.75985 + 1.74244i 0.748405 + 0.148867i 0.554535 0.832160i \(-0.312896\pi\)
0.193870 + 0.981027i \(0.437896\pi\)
\(138\) −3.43468 + 16.0556i −0.292379 + 1.36674i
\(139\) 1.67811 + 17.0381i 0.142335 + 1.44515i 0.755474 + 0.655179i \(0.227407\pi\)
−0.613139 + 0.789975i \(0.710093\pi\)
\(140\) −2.00573 0.451806i −0.169515 0.0381846i
\(141\) 12.8511 6.04994i 1.08226 0.509497i
\(142\) −22.7427 + 3.08112i −1.90853 + 0.258562i
\(143\) 2.16188 + 5.21925i 0.180786 + 0.436456i
\(144\) 1.81913 11.8613i 0.151594 0.988443i
\(145\) −0.682476 + 1.64764i −0.0566766 + 0.136829i
\(146\) −0.471696 + 1.78723i −0.0390378 + 0.147912i
\(147\) −0.350692 + 0.974605i −0.0289246 + 0.0803840i
\(148\) 0.288135 + 0.748445i 0.0236845 + 0.0615218i
\(149\) 0.465632 0.567375i 0.0381461 0.0464811i −0.753588 0.657347i \(-0.771679\pi\)
0.791734 + 0.610866i \(0.209179\pi\)
\(150\) −2.15452 11.7102i −0.175916 0.956134i
\(151\) 10.2456 6.84588i 0.833774 0.557110i −0.0638059 0.997962i \(-0.520324\pi\)
0.897580 + 0.440853i \(0.145324\pi\)
\(152\) 0.571466 + 0.458308i 0.0463520 + 0.0371737i
\(153\) 1.67893 5.46406i 0.135733 0.441743i
\(154\) 10.2182 2.42308i 0.823410 0.195257i
\(155\) 0.375696 0.200814i 0.0301766 0.0161297i
\(156\) 6.12767 + 3.90145i 0.490606 + 0.312366i
\(157\) −2.37093 + 24.0725i −0.189221 + 1.92119i 0.165484 + 0.986212i \(0.447081\pi\)
−0.354705 + 0.934978i \(0.615419\pi\)
\(158\) −18.5413 + 6.37173i −1.47507 + 0.506908i
\(159\) −3.01664 + 4.05226i −0.239235 + 0.321365i
\(160\) 1.73763 + 1.19641i 0.137372 + 0.0945844i
\(161\) −13.0648 + 13.0648i −1.02965 + 1.02965i
\(162\) 1.61823 + 12.6246i 0.127140 + 0.991885i
\(163\) −1.54978 + 15.7352i −0.121388 + 1.23248i 0.720743 + 0.693203i \(0.243801\pi\)
−0.842131 + 0.539273i \(0.818699\pi\)
\(164\) −2.20819 4.39420i −0.172430 0.343129i
\(165\) −1.03411 1.39958i −0.0805057 0.108957i
\(166\) −10.1384 6.25175i −0.786891 0.485230i
\(167\) 4.67082 6.99038i 0.361439 0.540932i −0.605531 0.795822i \(-0.707039\pi\)
0.966970 + 0.254890i \(0.0820393\pi\)
\(168\) 8.97333 10.0912i 0.692308 0.778550i
\(169\) 7.15274 4.77931i 0.550211 0.367639i
\(170\) 0.736048 + 0.684210i 0.0564523 + 0.0524765i
\(171\) −0.716764 0.299910i −0.0548123 0.0229347i
\(172\) −13.0399 13.7146i −0.994286 1.04573i
\(173\) −9.30045 4.97119i −0.707100 0.377953i 0.0783098 0.996929i \(-0.475048\pi\)
−0.785410 + 0.618976i \(0.787548\pi\)
\(174\) −7.29975 9.16061i −0.553393 0.694464i
\(175\) 5.12752 12.3789i 0.387604 0.935759i
\(176\) −10.6571 1.59534i −0.803309 0.120254i
\(177\) −6.69714 11.2191i −0.503388 0.843277i
\(178\) 7.68888 10.0987i 0.576306 0.756929i
\(179\) −20.5316 + 6.22818i −1.53460 + 0.465516i −0.940762 0.339067i \(-0.889889\pi\)
−0.593840 + 0.804583i \(0.702389\pi\)
\(180\) −2.12171 0.710939i −0.158143 0.0529903i
\(181\) 0.909207 + 9.23134i 0.0675809 + 0.686160i 0.967969 + 0.251071i \(0.0807829\pi\)
−0.900388 + 0.435089i \(0.856717\pi\)
\(182\) 3.40167 + 7.43322i 0.252148 + 0.550987i
\(183\) −0.338744 + 6.65190i −0.0250407 + 0.491723i
\(184\) 17.4328 7.45223i 1.28516 0.549385i
\(185\) 0.146675 0.0291754i 0.0107837 0.00214502i
\(186\) −0.0402836 + 2.79767i −0.00295374 + 0.205135i
\(187\) −4.91203 1.49005i −0.359203 0.108963i
\(188\) −14.2652 8.09368i −1.04039 0.590292i
\(189\) −6.19340 + 12.9146i −0.450504 + 0.939402i
\(190\) 0.102361 0.0904506i 0.00742603 0.00656198i
\(191\) 12.3439i 0.893173i 0.894740 + 0.446587i \(0.147361\pi\)
−0.894740 + 0.446587i \(0.852639\pi\)
\(192\) −12.4004 + 6.18303i −0.894923 + 0.446221i
\(193\) 0.121603i 0.00875319i 0.999990 + 0.00437660i \(0.00139312\pi\)
−0.999990 + 0.00437660i \(0.998607\pi\)
\(194\) −9.52417 10.7783i −0.683795 0.773834i
\(195\) 0.911476 1.00204i 0.0652722 0.0717577i
\(196\) 1.15290 0.318225i 0.0823502 0.0227303i
\(197\) −19.3752 5.87739i −1.38042 0.418747i −0.489144 0.872203i \(-0.662691\pi\)
−0.891279 + 0.453456i \(0.850191\pi\)
\(198\) 11.3315 1.49379i 0.805293 0.106159i
\(199\) −3.84724 + 0.765263i −0.272723 + 0.0542480i −0.329557 0.944136i \(-0.606899\pi\)
0.0568339 + 0.998384i \(0.481899\pi\)
\(200\) −9.61162 + 9.83080i −0.679644 + 0.695142i
\(201\) 22.2993 + 1.13558i 1.57287 + 0.0800976i
\(202\) 18.4237 8.43125i 1.29629 0.593221i
\(203\) −1.29199 13.1178i −0.0906797 0.920687i
\(204\) −6.27241 + 2.05503i −0.439157 + 0.143881i
\(205\) −0.877546 + 0.266201i −0.0612905 + 0.0185923i
\(206\) 0.398200 + 0.303179i 0.0277439 + 0.0211235i
\(207\) −15.5900 + 12.7011i −1.08358 + 0.882790i
\(208\) −0.400420 8.37850i −0.0277642 0.580944i
\(209\) −0.267005 + 0.644607i −0.0184691 + 0.0445884i
\(210\) −1.56925 1.96929i −0.108289 0.135894i
\(211\) −9.13258 4.88147i −0.628713 0.336054i 0.126077 0.992020i \(-0.459761\pi\)
−0.754790 + 0.655966i \(0.772261\pi\)
\(212\) 5.83149 + 0.147042i 0.400509 + 0.0100989i
\(213\) −24.0835 14.4939i −1.65018 0.993104i
\(214\) 10.0668 10.8295i 0.688153 0.740289i
\(215\) −2.93412 + 1.96052i −0.200105 + 0.133706i
\(216\) 10.8314 9.93387i 0.736981 0.675914i
\(217\) −1.74926 + 2.61795i −0.118747 + 0.177718i
\(218\) 0.781451 1.26727i 0.0529265 0.0858303i
\(219\) −1.82076 + 1.34531i −0.123035 + 0.0909077i
\(220\) −0.631578 + 1.90755i −0.0425809 + 0.128607i
\(221\) 0.391641 3.97640i 0.0263446 0.267482i
\(222\) −0.298631 + 0.935739i −0.0200428 + 0.0628027i
\(223\) −11.5367 + 11.5367i −0.772556 + 0.772556i −0.978553 0.205997i \(-0.933956\pi\)
0.205997 + 0.978553i \(0.433956\pi\)
\(224\) −15.4949 1.74448i −1.03530 0.116558i
\(225\) 6.92033 12.8361i 0.461356 0.855740i
\(226\) 5.96721 + 17.3642i 0.396933 + 1.15505i
\(227\) −2.03508 + 20.6625i −0.135073 + 1.37142i 0.653710 + 0.756745i \(0.273212\pi\)
−0.788783 + 0.614672i \(0.789288\pi\)
\(228\) 0.194420 + 0.875860i 0.0128758 + 0.0580052i
\(229\) −15.5397 + 8.30612i −1.02689 + 0.548884i −0.896715 0.442608i \(-0.854053\pi\)
−0.130174 + 0.991491i \(0.541553\pi\)
\(230\) −0.815709 3.43989i −0.0537863 0.226819i
\(231\) 11.6171 + 5.51997i 0.764346 + 0.363187i
\(232\) −3.78008 + 12.9865i −0.248174 + 0.852604i
\(233\) 12.5532 8.38775i 0.822385 0.549500i −0.0716852 0.997427i \(-0.522838\pi\)
0.894070 + 0.447927i \(0.147838\pi\)
\(234\) 2.86125 + 8.42424i 0.187046 + 0.550709i
\(235\) −1.94021 + 2.36415i −0.126565 + 0.154220i
\(236\) −6.12317 + 13.7889i −0.398584 + 0.897578i
\(237\) −22.5937 8.12988i −1.46762 0.528092i
\(238\) −7.18170 1.89544i −0.465521 0.122863i
\(239\) −1.14206 + 2.75718i −0.0738738 + 0.178347i −0.956503 0.291723i \(-0.905771\pi\)
0.882629 + 0.470070i \(0.155771\pi\)
\(240\) 0.742312 + 2.47489i 0.0479160 + 0.159754i
\(241\) −3.38751 8.17816i −0.218208 0.526802i 0.776431 0.630202i \(-0.217028\pi\)
−0.994640 + 0.103400i \(0.967028\pi\)
\(242\) 0.710562 + 5.24489i 0.0456766 + 0.337154i
\(243\) −8.13362 + 13.2983i −0.521772 + 0.853085i
\(244\) 6.50043 4.11029i 0.416147 0.263134i
\(245\) −0.0218600 0.221948i −0.00139658 0.0141798i
\(246\) 1.25998 5.88983i 0.0803332 0.375522i
\(247\) −0.532677 0.105956i −0.0338934 0.00674182i
\(248\) 2.66591 1.82511i 0.169285 0.115894i
\(249\) −4.88988 13.7439i −0.309883 0.870986i
\(250\) 3.04524 + 4.21607i 0.192598 + 0.266648i
\(251\) 14.1254 + 4.28488i 0.891585 + 0.270459i 0.702654 0.711531i \(-0.251998\pi\)
0.188930 + 0.981991i \(0.439498\pi\)
\(252\) 16.3071 2.75817i 1.02725 0.173748i
\(253\) 11.4556 + 13.9587i 0.720206 + 0.877574i
\(254\) 10.1051 + 0.624200i 0.634051 + 0.0391658i
\(255\) 0.178412 + 1.21780i 0.0111726 + 0.0762615i
\(256\) 14.0906 + 7.57992i 0.880662 + 0.473745i
\(257\) 19.2795i 1.20262i 0.799016 + 0.601310i \(0.205354\pi\)
−0.799016 + 0.601310i \(0.794646\pi\)
\(258\) −1.93946 23.0962i −0.120746 1.43790i
\(259\) −0.854428 + 0.701211i −0.0530916 + 0.0435711i
\(260\) −1.55224 0.192500i −0.0962658 0.0119384i
\(261\) 0.0514471 14.3458i 0.00318450 0.887983i
\(262\) −25.0982 + 18.1282i −1.55057 + 1.11997i
\(263\) −29.3684 + 5.84173i −1.81093 + 0.360216i −0.980440 0.196817i \(-0.936939\pi\)
−0.830490 + 0.557034i \(0.811939\pi\)
\(264\) −8.95531 9.69437i −0.551161 0.596647i
\(265\) 0.212210 1.06685i 0.0130359 0.0655360i
\(266\) −0.352082 + 0.946228i −0.0215875 + 0.0580170i
\(267\) 15.0861 3.75014i 0.923254 0.229505i
\(268\) −13.7790 21.7915i −0.841687 1.33113i
\(269\) 22.2595 6.75234i 1.35718 0.411697i 0.473918 0.880569i \(-0.342839\pi\)
0.883266 + 0.468872i \(0.155339\pi\)
\(270\) −1.48135 2.30570i −0.0901518 0.140320i
\(271\) 23.1343 9.58255i 1.40531 0.582099i 0.454186 0.890907i \(-0.349930\pi\)
0.951124 + 0.308808i \(0.0999302\pi\)
\(272\) 6.11565 + 4.54832i 0.370816 + 0.275782i
\(273\) −2.45008 + 9.70738i −0.148285 + 0.587517i
\(274\) 3.22328 12.2128i 0.194725 0.737803i
\(275\) −11.5489 6.17299i −0.696422 0.372246i
\(276\) 22.3634 + 6.24802i 1.34612 + 0.376087i
\(277\) 17.7211 + 14.5434i 1.06476 + 0.873826i 0.992339 0.123548i \(-0.0394272\pi\)
0.0724220 + 0.997374i \(0.476927\pi\)
\(278\) 24.1960 0.883122i 1.45118 0.0529661i
\(279\) −2.18341 + 2.64113i −0.130718 + 0.158120i
\(280\) −0.812617 + 2.79175i −0.0485631 + 0.166839i
\(281\) 9.99728 14.9620i 0.596387 0.892557i −0.403360 0.915041i \(-0.632158\pi\)
0.999747 + 0.0224846i \(0.00715767\pi\)
\(282\) −7.41913 18.6671i −0.441803 1.11161i
\(283\) −0.167572 0.313506i −0.00996114 0.0186360i 0.876891 0.480688i \(-0.159613\pi\)
−0.886853 + 0.462052i \(0.847113\pi\)
\(284\) 2.36612 + 32.3706i 0.140403 + 1.92084i
\(285\) 0.167111 0.00790928i 0.00989879 0.000468505i
\(286\) 7.55559 2.59648i 0.446771 0.153533i
\(287\) 4.79268 4.79268i 0.282903 0.282903i
\(288\) −16.5839 3.60194i −0.977216 0.212246i
\(289\) −9.45364 9.45364i −0.556097 0.556097i
\(290\) 2.26618 + 1.10699i 0.133075 + 0.0650047i
\(291\) −0.832822 17.5962i −0.0488209 1.03151i
\(292\) 2.48159 + 0.821639i 0.145224 + 0.0480828i
\(293\) 14.7161 7.86591i 0.859723 0.459531i 0.0182515 0.999833i \(-0.494190\pi\)
0.841471 + 0.540302i \(0.181690\pi\)
\(294\) 1.34510 + 0.579986i 0.0784478 + 0.0338255i
\(295\) 2.33921 + 1.56301i 0.136194 + 0.0910018i
\(296\) 1.08157 0.341451i 0.0628650 0.0198464i
\(297\) 11.9678 + 7.26101i 0.694442 + 0.421327i
\(298\) −0.760263 0.706721i −0.0440409 0.0409392i
\(299\) −8.91718 + 10.8656i −0.515694 + 0.628375i
\(300\) −16.7171 + 2.02013i −0.965161 + 0.116632i
\(301\) 12.2949 23.0022i 0.708669 1.32583i
\(302\) −8.76980 15.0588i −0.504645 0.866535i
\(303\) 24.0603 + 6.07267i 1.38223 + 0.348866i
\(304\) 0.696739 0.766677i 0.0399607 0.0439720i
\(305\) −0.548818 1.32497i −0.0314253 0.0758673i
\(306\) −7.56626 2.84626i −0.432534 0.162710i
\(307\) −2.53920 8.37061i −0.144920 0.477736i 0.854188 0.519964i \(-0.174055\pi\)
−0.999108 + 0.0422276i \(0.986555\pi\)
\(308\) −2.52930 14.6346i −0.144120 0.833882i
\(309\) 0.147871 + 0.594858i 0.00841209 + 0.0338403i
\(310\) −0.250696 0.547813i −0.0142386 0.0311137i
\(311\) −8.69363 1.72927i −0.492971 0.0980580i −0.0576564 0.998336i \(-0.518363\pi\)
−0.435314 + 0.900278i \(0.643363\pi\)
\(312\) 6.04126 8.30918i 0.342019 0.470415i
\(313\) −3.78712 19.0392i −0.214061 1.07616i −0.927037 0.374969i \(-0.877653\pi\)
0.712977 0.701188i \(-0.247347\pi\)
\(314\) 33.7721 + 5.44552i 1.90587 + 0.307308i
\(315\) 0.0110598 3.08397i 0.000623147 0.173762i
\(316\) 7.37721 + 26.7271i 0.415001 + 1.50351i
\(317\) 8.05271 + 9.81226i 0.452285 + 0.551111i 0.948371 0.317162i \(-0.102730\pi\)
−0.496086 + 0.868273i \(0.665230\pi\)
\(318\) 5.45684 + 4.61138i 0.306004 + 0.258593i
\(319\) −12.8824 −0.721277
\(320\) 1.84026 2.34839i 0.102874 0.131279i
\(321\) 17.9175 2.62499i 1.00006 0.146513i
\(322\) 17.3021 + 19.5804i 0.964209 + 1.09117i
\(323\) 0.381468 0.313063i 0.0212255 0.0174193i
\(324\) 17.9611 1.18341i 0.997836 0.0657451i
\(325\) 2.95899 9.75449i 0.164135 0.541082i
\(326\) 22.0755 + 3.55952i 1.22265 + 0.197143i
\(327\) 1.71795 0.611221i 0.0950031 0.0338006i
\(328\) −6.39505 + 2.73377i −0.353108 + 0.150947i
\(329\) 4.40995 22.1703i 0.243129 1.22229i
\(330\) −2.06570 + 1.33765i −0.113713 + 0.0736350i
\(331\) 5.27492 0.519534i 0.289936 0.0285562i 0.0479963 0.998848i \(-0.484716\pi\)
0.241940 + 0.970291i \(0.422216\pi\)
\(332\) −9.70846 + 13.7655i −0.532821 + 0.755478i
\(333\) −1.00264 + 0.664753i −0.0549443 + 0.0364283i
\(334\) −9.45983 7.20247i −0.517619 0.394101i
\(335\) −4.44171 + 1.83982i −0.242676 + 0.100520i
\(336\) −13.4615 13.5459i −0.734386 0.738991i
\(337\) −5.47221 2.26666i −0.298090 0.123473i 0.228626 0.973514i \(-0.426577\pi\)
−0.526716 + 0.850041i \(0.676577\pi\)
\(338\) −6.12245 10.5130i −0.333017 0.571830i
\(339\) −7.61374 + 21.1593i −0.413521 + 1.14921i
\(340\) 1.02996 0.979292i 0.0558572 0.0531095i
\(341\) 2.37871 + 1.95216i 0.128815 + 0.105715i
\(342\) −0.485825 + 0.985580i −0.0262704 + 0.0532941i
\(343\) −9.80402 14.6727i −0.529367 0.792254i
\(344\) −20.4954 + 17.2104i −1.10504 + 0.927923i
\(345\) 1.85825 3.91078i 0.100045 0.210549i
\(346\) −7.82787 + 12.6944i −0.420829 + 0.682453i
\(347\) 6.08886 + 11.3914i 0.326867 + 0.611525i 0.990654 0.136396i \(-0.0435520\pi\)
−0.663787 + 0.747921i \(0.731052\pi\)
\(348\) −13.5669 + 9.50505i −0.727261 + 0.509524i
\(349\) 3.66973 + 0.361437i 0.196436 + 0.0193473i 0.195757 0.980653i \(-0.437284\pi\)
0.000679442 1.00000i \(0.499784\pi\)
\(350\) −17.0261 8.31694i −0.910082 0.444559i
\(351\) −3.72603 + 10.2396i −0.198881 + 0.546547i
\(352\) −3.18107 + 14.9036i −0.169551 + 0.794367i
\(353\) −4.29191 4.29191i −0.228435 0.228435i 0.583604 0.812039i \(-0.301642\pi\)
−0.812039 + 0.583604i \(0.801642\pi\)
\(354\) −16.4199 + 8.47497i −0.872708 + 0.450439i
\(355\) 6.02313 + 0.593227i 0.319675 + 0.0314852i
\(356\) −13.5841 11.7336i −0.719958 0.621877i
\(357\) −5.40593 7.31644i −0.286112 0.387227i
\(358\) 7.00106 + 29.5238i 0.370018 + 1.56038i
\(359\) 11.7902 + 7.87797i 0.622264 + 0.415783i 0.826340 0.563172i \(-0.190419\pi\)
−0.204076 + 0.978955i \(0.565419\pi\)
\(360\) −1.18850 + 2.93286i −0.0626395 + 0.154575i
\(361\) 10.5186 + 15.7421i 0.553609 + 0.828534i
\(362\) 13.1095 0.478480i 0.689021 0.0251484i
\(363\) −3.34255 + 5.55410i −0.175438 + 0.291514i
\(364\) 10.7888 4.15343i 0.565484 0.217699i
\(365\) 0.229781 0.429891i 0.0120273 0.0225015i
\(366\) 9.35978 + 1.05813i 0.489244 + 0.0553093i
\(367\) 5.13302 + 2.12617i 0.267942 + 0.110985i 0.512609 0.858622i \(-0.328679\pi\)
−0.244668 + 0.969607i \(0.578679\pi\)
\(368\) −8.99901 25.2566i −0.469106 1.31659i
\(369\) 5.71905 4.65928i 0.297722 0.242553i
\(370\) −0.0283931 0.209579i −0.00147609 0.0108955i
\(371\) 2.33379 + 7.69348i 0.121164 + 0.399425i
\(372\) 3.94546 + 0.300792i 0.204563 + 0.0155953i
\(373\) 25.4972 2.51125i 1.32019 0.130028i 0.586744 0.809772i \(-0.300409\pi\)
0.733449 + 0.679745i \(0.237909\pi\)
\(374\) −2.53152 + 6.80353i −0.130902 + 0.351802i
\(375\) −0.323954 + 6.36146i −0.0167289 + 0.328504i
\(376\) −12.6682 + 19.4299i −0.653313 + 1.00202i
\(377\) −1.95634 9.83517i −0.100756 0.506537i
\(378\) 17.6893 + 9.86817i 0.909840 + 0.507564i
\(379\) 3.65568 12.0512i 0.187780 0.619027i −0.811614 0.584195i \(-0.801410\pi\)
0.999393 0.0348319i \(-0.0110896\pi\)
\(380\) −0.118748 0.152371i −0.00609166 0.00781647i
\(381\) 9.17268 + 8.34364i 0.469930 + 0.427457i
\(382\) 17.4237 + 1.07627i 0.891474 + 0.0550670i
\(383\) −13.4559 −0.687564 −0.343782 0.939050i \(-0.611708\pi\)
−0.343782 + 0.939050i \(0.611708\pi\)
\(384\) 7.64628 + 18.0426i 0.390198 + 0.920731i
\(385\) −2.76938 −0.141141
\(386\) 0.171646 + 0.0106027i 0.00873654 + 0.000539662i
\(387\) 15.8552 23.5458i 0.805966 1.19690i
\(388\) −16.0442 + 12.5038i −0.814520 + 0.634785i
\(389\) 3.30844 10.9065i 0.167745 0.552980i −0.832254 0.554394i \(-0.812950\pi\)
0.999999 + 0.00141426i \(0.000450172\pi\)
\(390\) −1.33493 1.37394i −0.0675970 0.0695721i
\(391\) −2.49165 12.5264i −0.126008 0.633487i
\(392\) −0.348659 1.65510i −0.0176099 0.0835949i
\(393\) −37.8697 1.92849i −1.91027 0.0972795i
\(394\) −9.98541 + 26.8360i −0.503058 + 1.35198i
\(395\) 5.14530 0.506767i 0.258888 0.0254982i
\(396\) −1.12052 16.1249i −0.0563084 0.810306i
\(397\) −3.77582 12.4472i −0.189503 0.624707i −0.999279 0.0379683i \(-0.987911\pi\)
0.809776 0.586739i \(-0.199589\pi\)
\(398\) 0.744743 + 5.49719i 0.0373306 + 0.275549i
\(399\) −1.06173 + 0.633792i −0.0531530 + 0.0317293i
\(400\) 13.0384 + 14.4242i 0.651918 + 0.721209i
\(401\) 29.6077 + 12.2639i 1.47854 + 0.612430i 0.968788 0.247892i \(-0.0797378\pi\)
0.509750 + 0.860322i \(0.329738\pi\)
\(402\) 3.54719 31.3770i 0.176918 1.56494i
\(403\) −1.12916 + 2.11250i −0.0562472 + 0.105231i
\(404\) −10.2945 26.7406i −0.512172 1.33039i
\(405\) 0.352942 3.33787i 0.0175378 0.165860i
\(406\) −18.6287 + 0.679922i −0.924526 + 0.0337440i
\(407\) 0.600165 + 0.898210i 0.0297491 + 0.0445226i
\(408\) 2.35383 + 9.03284i 0.116532 + 0.447192i
\(409\) −33.1912 22.1777i −1.64120 1.09661i −0.910139 0.414303i \(-0.864025\pi\)
−0.731061 0.682312i \(-0.760975\pi\)
\(410\) 0.299235 + 1.26189i 0.0147781 + 0.0623202i
\(411\) 12.4419 9.19303i 0.613715 0.453459i
\(412\) 0.462664 0.535634i 0.0227938 0.0263888i
\(413\) −20.6935 2.03813i −1.01826 0.100290i
\(414\) 16.5686 + 23.1131i 0.814304 + 1.13595i
\(415\) 2.22105 + 2.22105i 0.109027 + 0.109027i
\(416\) −11.8614 0.165325i −0.581551 0.00810571i
\(417\) 23.7863 + 17.7074i 1.16482 + 0.867133i
\(418\) 0.886597 + 0.433087i 0.0433649 + 0.0211830i
\(419\) −17.7281 1.74607i −0.866074 0.0853009i −0.344786 0.938681i \(-0.612048\pi\)
−0.521288 + 0.853381i \(0.674548\pi\)
\(420\) −2.91652 + 2.04333i −0.142312 + 0.0997045i
\(421\) −6.86636 12.8461i −0.334646 0.626078i 0.657172 0.753741i \(-0.271753\pi\)
−0.991818 + 0.127662i \(0.959253\pi\)
\(422\) −7.68658 + 12.4652i −0.374177 + 0.606798i
\(423\) 7.22595 23.5168i 0.351338 1.14343i
\(424\) 0.716006 8.21847i 0.0347723 0.399124i
\(425\) 5.14567 + 7.70104i 0.249602 + 0.373555i
\(426\) −22.5583 + 32.7307i −1.09295 + 1.58581i
\(427\) 8.19375 + 6.72444i 0.396524 + 0.325418i
\(428\) −14.4084 15.1538i −0.696454 0.732485i
\(429\) 9.20693 + 3.31293i 0.444515 + 0.159950i
\(430\) 2.51149 + 4.31252i 0.121115 + 0.207968i
\(431\) 10.1463 + 4.20273i 0.488730 + 0.202439i 0.613420 0.789757i \(-0.289794\pi\)
−0.124690 + 0.992196i \(0.539794\pi\)
\(432\) −13.0775 16.1549i −0.629191 0.777251i
\(433\) −23.7443 + 9.83520i −1.14108 + 0.472649i −0.871532 0.490339i \(-0.836873\pi\)
−0.269544 + 0.962988i \(0.586873\pi\)
\(434\) 3.54278 + 2.69738i 0.170059 + 0.129478i
\(435\) 1.31568 + 2.79473i 0.0630820 + 0.133997i
\(436\) −1.72065 1.21353i −0.0824040 0.0581176i
\(437\) −1.72766 + 0.170160i −0.0826454 + 0.00813986i
\(438\) 1.74019 + 2.68734i 0.0831493 + 0.128406i
\(439\) 5.12099 25.7450i 0.244412 1.22874i −0.642313 0.766442i \(-0.722025\pi\)
0.886725 0.462298i \(-0.152975\pi\)
\(440\) 2.63748 + 1.05781i 0.125737 + 0.0504290i
\(441\) 0.840017 + 1.58521i 0.0400008 + 0.0754861i
\(442\) −5.57863 0.899516i −0.265349 0.0427856i
\(443\) 0.438378 1.44514i 0.0208280 0.0686606i −0.945910 0.324428i \(-0.894828\pi\)
0.966738 + 0.255767i \(0.0823282\pi\)
\(444\) 1.29478 + 0.503113i 0.0614475 + 0.0238767i
\(445\) −2.58740 + 2.12342i −0.122654 + 0.100660i
\(446\) 15.2784 + 17.2902i 0.723455 + 0.818716i
\(447\) −0.184282 1.25786i −0.00871624 0.0594949i
\(448\) −3.81339 + 21.7194i −0.180166 + 1.02614i
\(449\) 9.14110 0.431395 0.215698 0.976460i \(-0.430797\pi\)
0.215698 + 0.976460i \(0.430797\pi\)
\(450\) −17.5151 10.8874i −0.825668 0.513237i
\(451\) −4.20236 5.12060i −0.197882 0.241119i
\(452\) 25.0302 6.90885i 1.17732 0.324965i
\(453\) 3.16949 21.1061i 0.148915 0.991652i
\(454\) 28.9881 + 4.67414i 1.36048 + 0.219368i
\(455\) −0.420561 2.11430i −0.0197162 0.0991199i
\(456\) 1.25325 0.198061i 0.0586887 0.00927505i
\(457\) 2.52647 + 0.502547i 0.118183 + 0.0235082i 0.253828 0.967249i \(-0.418310\pi\)
−0.135644 + 0.990758i \(0.543310\pi\)
\(458\) 10.3694 + 22.6588i 0.484529 + 1.05878i
\(459\) −5.04423 8.51939i −0.235445 0.397651i
\(460\) −4.92660 + 0.851466i −0.229704 + 0.0396998i
\(461\) 10.0193 + 33.0290i 0.466643 + 1.53832i 0.802646 + 0.596455i \(0.203425\pi\)
−0.336003 + 0.941861i \(0.609075\pi\)
\(462\) 8.80446 15.9164i 0.409621 0.740500i
\(463\) −6.93657 16.7464i −0.322370 0.778270i −0.999115 0.0420526i \(-0.986610\pi\)
0.676746 0.736217i \(-0.263390\pi\)
\(464\) 18.0011 + 6.46797i 0.835681 + 0.300268i
\(465\) 0.180566 0.715414i 0.00837354 0.0331765i
\(466\) −10.7450 18.4504i −0.497752 0.854699i
\(467\) 16.5441 30.9518i 0.765569 1.43228i −0.131929 0.991259i \(-0.542117\pi\)
0.897498 0.441019i \(-0.145383\pi\)
\(468\) 12.1405 3.30421i 0.561194 0.152737i
\(469\) 22.5425 27.4681i 1.04091 1.26836i
\(470\) 3.16789 + 2.94478i 0.146124 + 0.135833i
\(471\) 28.0802 + 31.0936i 1.29387 + 1.43272i
\(472\) 18.9294 + 9.84526i 0.871296 + 0.453165i
\(473\) −21.1947 14.1619i −0.974534 0.651163i
\(474\) −13.4455 + 31.1827i −0.617571 + 1.43227i
\(475\) 1.11029 0.593462i 0.0509436 0.0272299i
\(476\) −3.30163 + 9.97188i −0.151330 + 0.457060i
\(477\) 1.67626 + 8.58796i 0.0767505 + 0.393216i
\(478\) 3.79225 + 1.85245i 0.173453 + 0.0847289i
\(479\) 23.6036 + 23.6036i 1.07847 + 1.07847i 0.996646 + 0.0818282i \(0.0260759\pi\)
0.0818282 + 0.996646i \(0.473924\pi\)
\(480\) 3.55809 0.832002i 0.162404 0.0379755i
\(481\) −0.594603 + 0.594603i −0.0271115 + 0.0271115i
\(482\) −11.8390 + 4.06848i −0.539253 + 0.185314i
\(483\) 1.51295 + 31.9663i 0.0688416 + 1.45452i
\(484\) 7.46523 0.545669i 0.339329 0.0248031i
\(485\) 1.78802 + 3.34515i 0.0811899 + 0.151896i
\(486\) 18.0617 + 12.6403i 0.819293 + 0.573375i
\(487\) −15.0021 + 22.4522i −0.679809 + 1.01741i 0.317791 + 0.948161i \(0.397059\pi\)
−0.997600 + 0.0692453i \(0.977941\pi\)
\(488\) −5.23499 9.53389i −0.236977 0.431579i
\(489\) 18.3549 + 20.3247i 0.830038 + 0.919113i
\(490\) −0.315191 + 0.0115041i −0.0142389 + 0.000519700i
\(491\) 31.5391 + 25.8835i 1.42334 + 1.16811i 0.959334 + 0.282273i \(0.0910885\pi\)
0.464006 + 0.885832i \(0.346412\pi\)
\(492\) −8.20377 2.29202i −0.369855 0.103332i
\(493\) 8.03565 + 4.29515i 0.361908 + 0.193444i
\(494\) −0.196004 + 0.742647i −0.00881863 + 0.0334133i
\(495\) −2.99848 0.306186i −0.134772 0.0137620i
\(496\) −2.34374 3.92213i −0.105237 0.176109i
\(497\) −41.3278 + 17.1185i −1.85381 + 0.767871i
\(498\) −19.8262 + 5.70383i −0.888435 + 0.255595i
\(499\) −36.6873 + 11.1290i −1.64235 + 0.498201i −0.970218 0.242233i \(-0.922120\pi\)
−0.672129 + 0.740434i \(0.734620\pi\)
\(500\) 6.21660 3.93082i 0.278015 0.175792i
\(501\) −3.51289 14.1317i −0.156944 0.631358i
\(502\) 7.27981 19.5647i 0.324914 0.873214i
\(503\) 3.90911 19.6524i 0.174299 0.876259i −0.790337 0.612673i \(-0.790094\pi\)
0.964636 0.263587i \(-0.0849055\pi\)
\(504\) −2.47139 23.2583i −0.110085 1.03601i
\(505\) −5.24043 + 1.04239i −0.233196 + 0.0463855i
\(506\) 20.7018 14.9528i 0.920307 0.664731i
\(507\) 2.21271 14.7348i 0.0982699 0.654395i
\(508\) 1.76214 14.2092i 0.0781825 0.630430i
\(509\) 4.87291 3.99910i 0.215988 0.177257i −0.520178 0.854058i \(-0.674134\pi\)
0.736166 + 0.676801i \(0.236634\pi\)
\(510\) 1.73451 0.145652i 0.0768053 0.00644959i
\(511\) 3.60277i 0.159377i
\(512\) 11.9278 19.2283i 0.527139 0.849779i
\(513\) −1.21964 + 0.568837i −0.0538483 + 0.0251148i
\(514\) 27.2134 + 1.68099i 1.20033 + 0.0741453i
\(515\) −0.0837284 0.102023i −0.00368951 0.00449568i
\(516\) −32.7699 + 0.723822i −1.44261 + 0.0318645i
\(517\) −21.1410 6.41304i −0.929778 0.282045i
\(518\) 0.915277 + 1.26718i 0.0402150 + 0.0556769i
\(519\) −17.2089 + 6.12266i −0.755387 + 0.268755i
\(520\) −0.407060 + 2.17424i −0.0178507 + 0.0953466i
\(521\) −43.5875 8.67009i −1.90960 0.379844i −0.910193 0.414184i \(-0.864067\pi\)
−0.999410 + 0.0343404i \(0.989067\pi\)
\(522\) −20.2449 1.32344i −0.886097 0.0579254i
\(523\) 0.457274 + 4.64278i 0.0199952 + 0.203015i 0.999992 + 0.00400144i \(0.00127370\pi\)
−0.979997 + 0.199013i \(0.936226\pi\)
\(524\) 23.4001 + 37.0073i 1.02224 + 1.61667i
\(525\) −9.88485 20.9971i −0.431410 0.916388i
\(526\) 5.68509 + 41.9635i 0.247882 + 1.82969i
\(527\) −0.832895 2.01079i −0.0362815 0.0875912i
\(528\) −14.4646 + 11.7954i −0.629493 + 0.513327i
\(529\) −8.39217 + 20.2605i −0.364877 + 0.880891i
\(530\) −1.48738 0.392558i −0.0646077 0.0170516i
\(531\) −22.1801 4.49464i −0.962533 0.195051i
\(532\) 1.30493 + 0.579474i 0.0565757 + 0.0251234i
\(533\) 3.27118 3.98594i 0.141690 0.172650i
\(534\) −3.97804 21.6214i −0.172146 0.935648i
\(535\) −3.24203 + 2.16625i −0.140165 + 0.0936553i
\(536\) −31.9606 + 17.5494i −1.38049 + 0.758017i
\(537\) −15.9490 + 33.5654i −0.688249 + 1.44845i
\(538\) −7.59026 32.0085i −0.327239 1.37998i
\(539\) 1.42078 0.759424i 0.0611974 0.0327107i
\(540\) −3.38371 + 1.88992i −0.145612 + 0.0813291i
\(541\) 3.64548 37.0132i 0.156731 1.59132i −0.519395 0.854535i \(-0.673842\pi\)
0.676126 0.736786i \(-0.263658\pi\)
\(542\) −11.5089 33.4901i −0.494349 1.43853i
\(543\) 12.8876 + 9.59393i 0.553058 + 0.411715i
\(544\) 6.95329 8.23582i 0.298120 0.353108i
\(545\) −0.277625 + 0.277625i −0.0118922 + 0.0118922i
\(546\) 13.4886 + 4.30474i 0.577257 + 0.184226i
\(547\) 0.619843 6.29337i 0.0265026 0.269085i −0.972797 0.231660i \(-0.925584\pi\)
0.999299 0.0374254i \(-0.0119156\pi\)
\(548\) −16.9576 5.61458i −0.724394 0.239843i
\(549\) 8.12813 + 8.18664i 0.346900 + 0.349397i
\(550\) −9.72028 + 15.7633i −0.414474 + 0.672147i
\(551\) 0.688072 1.02977i 0.0293128 0.0438698i
\(552\) 10.7691 31.0216i 0.458364 1.32037i
\(553\) −31.7732 + 21.2302i −1.35114 + 0.902800i
\(554\) 22.0734 23.7458i 0.937810 1.00886i
\(555\) 0.133564 0.221934i 0.00566947 0.00942059i
\(556\) 0.863121 34.2302i 0.0366045 1.45169i
\(557\) −21.8444 11.6761i −0.925575 0.494730i −0.0615080 0.998107i \(-0.519591\pi\)
−0.864067 + 0.503376i \(0.832091\pi\)
\(558\) 3.53764 + 3.31222i 0.149760 + 0.140218i
\(559\) 7.59331 18.3319i 0.321163 0.775356i
\(560\) 3.86976 + 1.39044i 0.163527 + 0.0587569i
\(561\) −7.63401 + 4.55706i −0.322308 + 0.192399i
\(562\) −20.2475 15.4159i −0.854090 0.650282i
\(563\) 2.33309 0.707736i 0.0983281 0.0298275i −0.240737 0.970590i \(-0.577389\pi\)
0.339065 + 0.940763i \(0.389889\pi\)
\(564\) −26.9959 + 8.84468i −1.13673 + 0.372428i
\(565\) −0.474594 4.81864i −0.0199663 0.202722i
\(566\) −0.457132 + 0.209197i −0.0192147 + 0.00879323i
\(567\) 9.32899 + 22.9871i 0.391781 + 0.965369i
\(568\) 45.8981 0.517414i 1.92584 0.0217102i
\(569\) 40.7388 8.10345i 1.70786 0.339714i 0.757967 0.652293i \(-0.226193\pi\)
0.949892 + 0.312578i \(0.101193\pi\)
\(570\) 0.00340638 0.236570i 0.000142678 0.00990884i
\(571\) −18.2305 5.53016i −0.762922 0.231430i −0.115237 0.993338i \(-0.536763\pi\)
−0.647685 + 0.761908i \(0.724263\pi\)
\(572\) −3.00621 10.8913i −0.125696 0.455387i
\(573\) 15.8160 + 14.3865i 0.660721 + 0.601004i
\(574\) −6.34711 7.18286i −0.264923 0.299807i
\(575\) 32.5826i 1.35879i
\(576\) −6.53018 + 23.0945i −0.272091 + 0.962272i
\(577\) 9.77993i 0.407144i −0.979060 0.203572i \(-0.934745\pi\)
0.979060 0.203572i \(-0.0652551\pi\)
\(578\) −14.1683 + 12.5198i −0.589324 + 0.520754i
\(579\) 0.155807 + 0.141725i 0.00647514 + 0.00588990i
\(580\) 1.76013 3.10225i 0.0730855 0.128814i
\(581\) −22.2160 6.73916i −0.921677 0.279588i
\(582\) −24.9101 0.358681i −1.03256 0.0148678i
\(583\) 7.70643 1.53290i 0.319168 0.0634864i
\(584\) 1.37613 3.43118i 0.0569448 0.141983i
\(585\) −0.221593 2.33571i −0.00916172 0.0965696i
\(586\) −9.81981 21.4579i −0.405652 0.886419i
\(587\) −2.07768 21.0951i −0.0857551 0.870686i −0.937790 0.347202i \(-0.887132\pi\)
0.852035 0.523484i \(-0.175368\pi\)
\(588\) 0.935944 1.84807i 0.0385977 0.0762131i
\(589\) −0.283099 + 0.0858772i −0.0116649 + 0.00353851i
\(590\) 2.41018 3.16556i 0.0992254 0.130324i
\(591\) −30.1118 + 17.9750i −1.23863 + 0.739393i
\(592\) −0.387663 1.55643i −0.0159329 0.0639690i
\(593\) −0.328406 + 0.792842i −0.0134860 + 0.0325581i −0.930479 0.366345i \(-0.880609\pi\)
0.916993 + 0.398903i \(0.130609\pi\)
\(594\) 11.2926 16.2597i 0.463340 0.667145i
\(595\) 1.72745 + 0.923342i 0.0708186 + 0.0378533i
\(596\) −1.06384 + 1.01151i −0.0435766 + 0.0414331i
\(597\) −3.50334 + 5.82127i −0.143382 + 0.238249i
\(598\) 14.5596 + 13.5342i 0.595385 + 0.553454i
\(599\) −26.9981 + 18.0396i −1.10311 + 0.737076i −0.967294 0.253658i \(-0.918366\pi\)
−0.135818 + 0.990734i \(0.543366\pi\)
\(600\) 1.39389 + 23.7727i 0.0569052 + 0.970516i
\(601\) 12.1286 18.1517i 0.494734 0.740422i −0.497137 0.867672i \(-0.665615\pi\)
0.991871 + 0.127251i \(0.0406152\pi\)
\(602\) −31.3962 19.3602i −1.27961 0.789062i
\(603\) 27.4442 27.2481i 1.11762 1.10963i
\(604\) −22.0205 + 11.0658i −0.896000 + 0.450260i
\(605\) 0.136809 1.38904i 0.00556207 0.0564726i
\(606\) 10.6696 33.4323i 0.433421 1.35809i
\(607\) −15.8671 + 15.8671i −0.644025 + 0.644025i −0.951542 0.307518i \(-0.900502\pi\)
0.307518 + 0.951542i \(0.400502\pi\)
\(608\) −1.02143 1.05031i −0.0414246 0.0425957i
\(609\) −18.3133 13.6330i −0.742091 0.552438i
\(610\) −1.91807 + 0.659145i −0.0776604 + 0.0266880i
\(611\) 1.68559 17.1141i 0.0681917 0.692362i
\(612\) −4.67727 + 10.4318i −0.189067 + 0.421680i
\(613\) 6.71647 3.59003i 0.271276 0.145000i −0.330150 0.943928i \(-0.607099\pi\)
0.601426 + 0.798929i \(0.294599\pi\)
\(614\) −12.0367 + 2.85430i −0.485762 + 0.115190i
\(615\) −0.681680 + 1.43463i −0.0274880 + 0.0578499i
\(616\) −20.8776 + 2.29416i −0.841181 + 0.0924344i
\(617\) 22.9697 15.3479i 0.924727 0.617883i 0.000612754 1.00000i \(-0.499805\pi\)
0.924114 + 0.382117i \(0.124805\pi\)
\(618\) 0.852549 0.156857i 0.0342945 0.00630973i
\(619\) −15.2863 + 18.6265i −0.614410 + 0.748661i −0.983535 0.180719i \(-0.942158\pi\)
0.369125 + 0.929380i \(0.379658\pi\)
\(620\) −0.795109 + 0.306099i −0.0319323 + 0.0122932i
\(621\) −1.89612 + 34.7780i −0.0760886 + 1.39559i
\(622\) −3.19891 + 12.1205i −0.128265 + 0.485987i
\(623\) 9.46729 22.8561i 0.379299 0.915709i
\(624\) −11.2019 9.25187i −0.448433 0.370371i
\(625\) 8.77610 + 21.1874i 0.351044 + 0.847495i
\(626\) −27.2044 + 3.68557i −1.08731 + 0.147305i
\(627\) 0.514733 + 1.09338i 0.0205565 + 0.0436654i
\(628\) 10.6311 47.1953i 0.424227 1.88330i
\(629\) −0.0748906 0.760377i −0.00298608 0.0303182i
\(630\) −4.35213 0.284505i −0.173393 0.0113349i
\(631\) 34.4353 + 6.84962i 1.37085 + 0.272679i 0.824966 0.565182i \(-0.191194\pi\)
0.545883 + 0.837861i \(0.316194\pi\)
\(632\) 38.3691 8.08275i 1.52624 0.321515i
\(633\) −16.8983 + 6.01215i −0.671647 + 0.238962i
\(634\) 14.5523 10.5111i 0.577948 0.417447i
\(635\) −2.55493 0.775030i −0.101389 0.0307561i
\(636\) 6.98485 7.30039i 0.276967 0.289479i
\(637\) 0.795549 + 0.969379i 0.0315208 + 0.0384082i
\(638\) −1.12323 + 18.1838i −0.0444690 + 0.719905i
\(639\) −46.6394 + 13.9654i −1.84503 + 0.552465i
\(640\) −3.15435 2.80233i −0.124687 0.110772i
\(641\) 33.1457i 1.30917i 0.755986 + 0.654587i \(0.227158\pi\)
−0.755986 + 0.654587i \(0.772842\pi\)
\(642\) −2.14299 25.5199i −0.0845770 1.00719i
\(643\) 16.7656 13.7591i 0.661169 0.542607i −0.242869 0.970059i \(-0.578089\pi\)
0.904038 + 0.427452i \(0.140589\pi\)
\(644\) 29.1467 22.7151i 1.14854 0.895101i
\(645\) −0.907674 + 6.04435i −0.0357396 + 0.237996i
\(646\) −0.408635 0.565748i −0.0160775 0.0222590i
\(647\) −7.40130 + 1.47221i −0.290975 + 0.0578785i −0.338420 0.940995i \(-0.609892\pi\)
0.0474445 + 0.998874i \(0.484892\pi\)
\(648\) −0.104375 25.4556i −0.00410022 0.999992i
\(649\) −3.96467 + 19.9318i −0.155627 + 0.782390i
\(650\) −13.5107 5.02719i −0.529933 0.197182i
\(651\) 1.31561 + 5.29244i 0.0515627 + 0.207427i
\(652\) 6.94912 30.8497i 0.272148 1.20817i
\(653\) −2.73577 + 0.829887i −0.107059 + 0.0324760i −0.343360 0.939204i \(-0.611565\pi\)
0.236301 + 0.971680i \(0.424065\pi\)
\(654\) −0.712963 2.47822i −0.0278791 0.0969063i
\(655\) 7.54310 3.12446i 0.294733 0.122083i
\(656\) 3.30120 + 9.26512i 0.128890 + 0.361742i
\(657\) −0.398327 + 3.90082i −0.0155402 + 0.152185i
\(658\) −30.9094 8.15780i −1.20498 0.318024i
\(659\) −13.4215 7.17396i −0.522829 0.279458i 0.188798 0.982016i \(-0.439541\pi\)
−0.711626 + 0.702558i \(0.752041\pi\)
\(660\) 1.70801 + 3.03242i 0.0664841 + 0.118037i
\(661\) 14.8483 + 12.1857i 0.577533 + 0.473969i 0.877233 0.480064i \(-0.159387\pi\)
−0.299700 + 0.954033i \(0.596887\pi\)
\(662\) −0.273410 7.49097i −0.0106264 0.291145i
\(663\) −4.63842 5.13619i −0.180141 0.199473i
\(664\) 18.5838 + 14.9039i 0.721191 + 0.578385i
\(665\) 0.147917 0.221374i 0.00573598 0.00858450i
\(666\) 0.850894 + 1.47321i 0.0329715 + 0.0570857i
\(667\) −15.1099 28.2685i −0.585056 1.09456i
\(668\) −10.9913 + 12.7248i −0.425265 + 0.492336i
\(669\) 1.33599 + 28.2275i 0.0516525 + 1.09134i
\(670\) 2.20967 + 6.42999i 0.0853668 + 0.248412i
\(671\) 7.32528 7.32528i 0.282789 0.282789i
\(672\) −20.2941 + 17.8202i −0.782862 + 0.687428i
\(673\) −7.35919 7.35919i −0.283676 0.283676i 0.550897 0.834573i \(-0.314286\pi\)
−0.834573 + 0.550897i \(0.814286\pi\)
\(674\) −3.67657 + 7.52651i −0.141616 + 0.289911i
\(675\) −8.38113 23.8270i −0.322590 0.917102i
\(676\) −15.3731 + 7.72535i −0.591274 + 0.297129i
\(677\) 17.5738 9.39341i 0.675417 0.361018i −0.0977581 0.995210i \(-0.531167\pi\)
0.773176 + 0.634192i \(0.218667\pi\)
\(678\) 29.2030 + 12.5919i 1.12153 + 0.483587i
\(679\) −23.3099 15.5752i −0.894554 0.597722i
\(680\) −1.29249 1.53919i −0.0495647 0.0590253i
\(681\) 24.1025 + 26.6891i 0.923611 + 1.02273i
\(682\) 2.96292 3.18740i 0.113456 0.122052i
\(683\) −23.6103 + 28.7692i −0.903424 + 1.10082i 0.0910510 + 0.995846i \(0.470977\pi\)
−0.994474 + 0.104979i \(0.966523\pi\)
\(684\) 1.34881 + 0.771686i 0.0515730 + 0.0295062i
\(685\) −1.57019 + 2.93761i −0.0599937 + 0.112240i
\(686\) −21.5657 + 12.5593i −0.823384 + 0.479515i
\(687\) −7.46861 + 29.5912i −0.284945 + 1.12897i
\(688\) 22.5059 + 30.4303i 0.858028 + 1.16014i
\(689\) 2.34061 + 5.65073i 0.0891701 + 0.215276i
\(690\) −5.35813 2.96395i −0.203981 0.112836i
\(691\) −6.54137 21.5640i −0.248845 0.820333i −0.989002 0.147899i \(-0.952749\pi\)
0.740157 0.672434i \(-0.234751\pi\)
\(692\) 17.2359 + 12.1560i 0.655209 + 0.462103i
\(693\) 20.6120 8.45129i 0.782984 0.321038i
\(694\) 16.6102 7.60133i 0.630514 0.288543i
\(695\) −6.26229 1.24565i −0.237542 0.0472501i
\(696\) 12.2337 + 19.9787i 0.463717 + 0.757292i
\(697\) 0.914039 + 4.59518i 0.0346217 + 0.174055i
\(698\) 0.830143 5.14839i 0.0314214 0.194870i
\(699\) 3.88334 25.8598i 0.146881 0.978107i
\(700\) −13.2241 + 23.3075i −0.499823 + 0.880942i
\(701\) 2.49815 + 3.04400i 0.0943538 + 0.114970i 0.818047 0.575151i \(-0.195057\pi\)
−0.723693 + 0.690122i \(0.757557\pi\)
\(702\) 14.1285 + 6.15217i 0.533246 + 0.232199i
\(703\) −0.103855 −0.00391698
\(704\) 20.7595 + 5.78961i 0.782402 + 0.218204i
\(705\) 0.767871 + 5.24130i 0.0289197 + 0.197399i
\(706\) −6.43234 + 5.68391i −0.242084 + 0.213917i
\(707\) 30.5272 25.0530i 1.14809 0.942215i
\(708\) 10.5309 + 23.9160i 0.395777 + 0.898819i
\(709\) −9.40994 + 31.0204i −0.353398 + 1.16500i 0.582531 + 0.812808i \(0.302062\pi\)
−0.935929 + 0.352188i \(0.885438\pi\)
\(710\) 1.36251 8.45006i 0.0511343 0.317125i
\(711\) −36.7490 + 19.4736i −1.37819 + 0.730318i
\(712\) −17.7466 + 18.1513i −0.665082 + 0.680248i
\(713\) −1.49372 + 7.50942i −0.0559402 + 0.281230i
\(714\) −10.7987 + 6.99267i −0.404130 + 0.261694i
\(715\) −2.09671 + 0.206508i −0.0784124 + 0.00772295i
\(716\) 42.2840 7.30796i 1.58023 0.273111i
\(717\) 2.20167 + 4.67672i 0.0822228 + 0.174655i
\(718\) 12.1479 15.9553i 0.453357 0.595445i
\(719\) 13.8597 5.74086i 0.516878 0.214098i −0.108967 0.994045i \(-0.534754\pi\)
0.625845 + 0.779947i \(0.284754\pi\)
\(720\) 4.03617 + 1.93331i 0.150419 + 0.0720504i
\(721\) 0.901234 + 0.373304i 0.0335637 + 0.0139025i
\(722\) 23.1375 13.4746i 0.861090 0.501474i
\(723\) −14.4265 5.19110i −0.536529 0.193059i
\(724\) 0.467644 18.5461i 0.0173798 0.689261i
\(725\) 17.9684 + 14.7463i 0.667330 + 0.547664i
\(726\) 7.54829 + 5.20235i 0.280143 + 0.193077i
\(727\) 26.6913 + 39.9464i 0.989927 + 1.48153i 0.872599 + 0.488438i \(0.162433\pi\)
0.117329 + 0.993093i \(0.462567\pi\)
\(728\) −4.92198 15.5907i −0.182421 0.577830i
\(729\) 7.55926 + 25.9202i 0.279973 + 0.960008i
\(730\) −0.586766 0.361824i −0.0217172 0.0133917i
\(731\) 8.49888 + 15.9003i 0.314342 + 0.588093i
\(732\) 2.30966 13.1193i 0.0853675 0.484903i
\(733\) −13.4778 1.32744i −0.497812 0.0490302i −0.154004 0.988070i \(-0.549217\pi\)
−0.343808 + 0.939040i \(0.611717\pi\)
\(734\) 3.44869 7.06000i 0.127293 0.260589i
\(735\) −0.309854 0.230666i −0.0114292 0.00850825i
\(736\) −36.4349 + 10.5002i −1.34301 + 0.387041i
\(737\) −24.5567 24.5567i −0.904556 0.904556i
\(738\) −6.07804 8.47882i −0.223736 0.312110i
\(739\) 27.9316 + 2.75102i 1.02748 + 0.101198i 0.597687 0.801729i \(-0.296086\pi\)
0.429793 + 0.902927i \(0.358586\pi\)
\(740\) −0.298301 + 0.0218042i −0.0109658 + 0.000801539i
\(741\) −0.756580 + 0.559018i −0.0277937 + 0.0205360i
\(742\) 11.0630 2.62340i 0.406136 0.0963080i
\(743\) 19.4588 + 13.0020i 0.713875 + 0.476996i 0.858711 0.512460i \(-0.171266\pi\)
−0.144836 + 0.989456i \(0.546266\pi\)
\(744\) 0.768583 5.54288i 0.0281776 0.203212i
\(745\) 0.152077 + 0.227600i 0.00557169 + 0.00833862i
\(746\) −1.32157 36.2088i −0.0483862 1.32570i
\(747\) −23.3088 9.75290i −0.852825 0.356840i
\(748\) 9.38261 + 4.16651i 0.343062 + 0.152343i
\(749\) 13.5852 25.4161i 0.496391 0.928683i
\(750\) 8.95110 + 1.01193i 0.326848 + 0.0369504i
\(751\) 21.2945 + 8.82049i 0.777049 + 0.321864i 0.735724 0.677282i \(-0.236842\pi\)
0.0413250 + 0.999146i \(0.486842\pi\)
\(752\) 26.3212 + 19.5756i 0.959837 + 0.713848i
\(753\) 21.9528 13.1046i 0.800006 0.477558i
\(754\) −14.0531 + 1.90388i −0.511785 + 0.0693352i
\(755\) 1.33400 + 4.39761i 0.0485492 + 0.160045i
\(756\) 15.4715 24.1085i 0.562693 0.876816i
\(757\) 25.2070 2.48268i 0.916166 0.0902344i 0.371067 0.928606i \(-0.378992\pi\)
0.545099 + 0.838372i \(0.316492\pi\)
\(758\) −16.6918 6.21083i −0.606272 0.225587i
\(759\) 31.2361 + 1.59068i 1.13380 + 0.0577381i
\(760\) −0.225429 + 0.154331i −0.00817717 + 0.00559816i
\(761\) −1.96911 9.89939i −0.0713802 0.358853i 0.928543 0.371224i \(-0.121062\pi\)
−0.999923 + 0.0123716i \(0.996062\pi\)
\(762\) 12.5770 12.2200i 0.455617 0.442682i
\(763\) 0.842377 2.77694i 0.0304961 0.100532i
\(764\) 3.03837 24.5001i 0.109924 0.886383i
\(765\) 1.76827 + 1.19072i 0.0639320 + 0.0430504i
\(766\) −1.17323 + 18.9933i −0.0423905 + 0.686256i
\(767\) −15.8191 −0.571195
\(768\) 26.1342 9.21976i 0.943036 0.332689i
\(769\) −22.4781 −0.810581 −0.405291 0.914188i \(-0.632830\pi\)
−0.405291 + 0.914188i \(0.632830\pi\)
\(770\) −0.241464 + 3.90904i −0.00870177 + 0.140872i
\(771\) 24.7023 + 22.4697i 0.889633 + 0.809226i
\(772\) 0.0299318 0.241358i 0.00107727 0.00868665i
\(773\) −4.86358 +