Properties

Label 930.2.br.b.11.10
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.10
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(1.39578 + 1.02558i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.64438 - 0.544062i) q^{6} +(0.359918 + 3.42439i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.896389 + 2.86295i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(1.39578 + 1.02558i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.64438 - 0.544062i) q^{6} +(0.359918 + 3.42439i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(0.896389 + 2.86295i) q^{9} +(0.669131 - 0.743145i) q^{10} +(-4.28029 - 1.90571i) q^{11} +(1.73203 + 0.00929082i) q^{12} +(0.215242 + 1.01263i) q^{13} +(-1.40050 - 3.14556i) q^{14} +(-1.72157 - 0.190286i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-4.82371 + 2.14765i) q^{17} +(-1.73722 - 2.44583i) q^{18} +(1.67953 + 0.356996i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(-3.00960 + 5.14880i) q^{21} +(4.65969 + 0.489754i) q^{22} +(0.800242 + 0.581410i) q^{23} +(-1.65013 + 0.526389i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-0.517629 - 0.896559i) q^{26} +(-1.68501 + 4.91536i) q^{27} +(2.30398 + 2.55883i) q^{28} +(-2.44496 - 7.52482i) q^{29} +(1.69611 - 0.351021i) q^{30} +(-5.07797 - 2.28347i) q^{31} +1.00000i q^{32} +(-4.01989 - 7.04971i) q^{33} +(3.92396 - 3.53315i) q^{34} +(-2.02389 - 2.78565i) q^{35} +(2.40799 + 1.78929i) q^{36} +(-2.37140 - 1.36913i) q^{37} +(-1.70765 + 0.179481i) q^{38} +(-0.738103 + 1.63416i) q^{39} +(0.104528 - 0.994522i) q^{40} +(5.93336 + 5.34242i) q^{41} +(1.27123 - 5.82682i) q^{42} +(0.0691375 - 0.325266i) q^{43} +(-4.58298 + 0.974141i) q^{44} +(-2.20777 - 2.03119i) q^{45} +(-0.940741 - 0.305665i) q^{46} +(5.39065 + 1.75153i) q^{47} +(1.40670 - 1.01054i) q^{48} +(-4.74985 + 1.00961i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(-8.93540 - 1.94943i) q^{51} +(0.769346 + 0.692722i) q^{52} +(-1.22235 + 11.6299i) q^{53} +(0.0836141 - 5.19548i) q^{54} +(4.65969 - 0.489754i) q^{55} +(-2.98194 - 1.72162i) q^{56} +(1.97813 + 2.22077i) q^{57} +(4.65060 + 6.40099i) q^{58} +(-2.64517 + 2.38172i) q^{59} +(-1.50462 + 0.857967i) q^{60} +1.89691i q^{61} +(5.53507 + 0.602535i) q^{62} +(-9.48122 + 4.10001i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-0.692722 - 0.769346i) q^{65} +(6.00162 + 5.46246i) q^{66} +(1.43290 + 2.48185i) q^{67} +(-2.64010 + 4.57279i) q^{68} +(0.520680 + 1.63223i) q^{69} +(2.78565 + 2.02389i) q^{70} +(-10.5085 - 1.10449i) q^{71} +(-2.84306 - 0.957606i) q^{72} +(1.87339 - 4.20771i) q^{73} +(2.67842 + 0.569316i) q^{74} +(1.58606 - 0.695991i) q^{75} +(1.56861 - 0.698389i) q^{76} +(4.98533 - 15.3433i) q^{77} +(0.196995 - 1.78226i) q^{78} +(4.71772 + 10.5962i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-7.39297 + 5.13263i) q^{81} +(-7.29386 - 3.24744i) q^{82} +(4.44010 - 4.93123i) q^{83} +(0.591571 + 5.93447i) q^{84} +(3.10363 - 4.27177i) q^{85} +(0.0347592 + 0.330711i) q^{86} +(4.30465 - 13.0105i) q^{87} +(4.05764 - 2.34268i) q^{88} +(7.36112 - 5.34817i) q^{89} +(2.72739 + 1.24954i) q^{90} +(-3.39018 + 1.10154i) q^{91} +0.989153 q^{92} +(-4.74584 - 8.39506i) q^{93} -5.66807 q^{94} +(-1.63302 + 0.530599i) q^{95} +(-1.02558 + 1.39578i) q^{96} +(4.67822 - 3.39893i) q^{97} +(4.20539 - 2.42798i) q^{98} +(1.61914 - 13.9625i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + 22q^{10} + 38q^{13} - 44q^{16} + 4q^{18} + 8q^{19} - 42q^{21} + 4q^{22} + 88q^{25} + 30q^{27} + 36q^{28} + 32q^{31} - 70q^{33} + 14q^{34} - 4q^{36} + 42q^{37} + 58q^{39} - 22q^{40} - 12q^{42} - 46q^{43} + 16q^{45} + 10q^{46} + 38q^{49} + 38q^{51} + 2q^{52} + 4q^{55} + 78q^{57} - 40q^{58} + 16q^{63} + 44q^{64} + 34q^{66} - 76q^{67} + 148q^{69} - 8q^{70} - 4q^{72} - 52q^{73} + 12q^{76} + 60q^{78} + 8q^{79} - 108q^{81} - 40q^{82} - 8q^{84} + 28q^{87} + 6q^{88} + 24q^{90} - 20q^{91} - 28q^{93} - 20q^{94} - 112q^{97} - 132q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) 1.39578 + 1.02558i 0.805852 + 0.592116i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −1.64438 0.544062i −0.671317 0.222112i
\(7\) 0.359918 + 3.42439i 0.136036 + 1.29430i 0.823182 + 0.567777i \(0.192197\pi\)
−0.687146 + 0.726519i \(0.741137\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) 0.896389 + 2.86295i 0.298796 + 0.954317i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) −4.28029 1.90571i −1.29056 0.574593i −0.357362 0.933966i \(-0.616324\pi\)
−0.933194 + 0.359373i \(0.882991\pi\)
\(12\) 1.73203 + 0.00929082i 0.499993 + 0.00268203i
\(13\) 0.215242 + 1.01263i 0.0596974 + 0.280854i 0.997864 0.0653308i \(-0.0208103\pi\)
−0.938166 + 0.346185i \(0.887477\pi\)
\(14\) −1.40050 3.14556i −0.374298 0.840688i
\(15\) −1.72157 0.190286i −0.444507 0.0491316i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −4.82371 + 2.14765i −1.16992 + 0.520882i −0.897378 0.441262i \(-0.854531\pi\)
−0.272542 + 0.962144i \(0.587864\pi\)
\(18\) −1.73722 2.44583i −0.409466 0.576487i
\(19\) 1.67953 + 0.356996i 0.385311 + 0.0819004i 0.396495 0.918037i \(-0.370227\pi\)
−0.0111835 + 0.999937i \(0.503560\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) −3.00960 + 5.14880i −0.656749 + 1.12356i
\(22\) 4.65969 + 0.489754i 0.993450 + 0.104416i
\(23\) 0.800242 + 0.581410i 0.166862 + 0.121232i 0.668082 0.744087i \(-0.267115\pi\)
−0.501220 + 0.865320i \(0.667115\pi\)
\(24\) −1.65013 + 0.526389i −0.336830 + 0.107449i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −0.517629 0.896559i −0.101515 0.175830i
\(27\) −1.68501 + 4.91536i −0.324281 + 0.945961i
\(28\) 2.30398 + 2.55883i 0.435412 + 0.483574i
\(29\) −2.44496 7.52482i −0.454018 1.39732i −0.872284 0.489000i \(-0.837362\pi\)
0.418266 0.908325i \(-0.362638\pi\)
\(30\) 1.69611 0.351021i 0.309666 0.0640873i
\(31\) −5.07797 2.28347i −0.912030 0.410124i
\(32\) 1.00000i 0.176777i
\(33\) −4.01989 7.04971i −0.699772 1.22720i
\(34\) 3.92396 3.53315i 0.672953 0.605929i
\(35\) −2.02389 2.78565i −0.342100 0.470860i
\(36\) 2.40799 + 1.78929i 0.401332 + 0.298215i
\(37\) −2.37140 1.36913i −0.389856 0.225083i 0.292242 0.956344i \(-0.405599\pi\)
−0.682098 + 0.731261i \(0.738932\pi\)
\(38\) −1.70765 + 0.179481i −0.277017 + 0.0291157i
\(39\) −0.738103 + 1.63416i −0.118191 + 0.261675i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) 5.93336 + 5.34242i 0.926635 + 0.834346i 0.986483 0.163861i \(-0.0523950\pi\)
−0.0598481 + 0.998207i \(0.519062\pi\)
\(42\) 1.27123 5.82682i 0.196156 0.899098i
\(43\) 0.0691375 0.325266i 0.0105434 0.0496027i −0.972561 0.232646i \(-0.925262\pi\)
0.983105 + 0.183044i \(0.0585949\pi\)
\(44\) −4.58298 + 0.974141i −0.690910 + 0.146857i
\(45\) −2.20777 2.03119i −0.329115 0.302792i
\(46\) −0.940741 0.305665i −0.138705 0.0450679i
\(47\) 5.39065 + 1.75153i 0.786308 + 0.255487i 0.674531 0.738247i \(-0.264346\pi\)
0.111777 + 0.993733i \(0.464346\pi\)
\(48\) 1.40670 1.01054i 0.203040 0.145859i
\(49\) −4.74985 + 1.00961i −0.678550 + 0.144230i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) −8.93540 1.94943i −1.25121 0.272975i
\(52\) 0.769346 + 0.692722i 0.106689 + 0.0960633i
\(53\) −1.22235 + 11.6299i −0.167903 + 1.59749i 0.508567 + 0.861023i \(0.330176\pi\)
−0.676470 + 0.736470i \(0.736491\pi\)
\(54\) 0.0836141 5.19548i 0.0113784 0.707015i
\(55\) 4.65969 0.489754i 0.628313 0.0660384i
\(56\) −2.98194 1.72162i −0.398479 0.230062i
\(57\) 1.97813 + 2.22077i 0.262009 + 0.294149i
\(58\) 4.65060 + 6.40099i 0.610653 + 0.840492i
\(59\) −2.64517 + 2.38172i −0.344372 + 0.310074i −0.823108 0.567885i \(-0.807762\pi\)
0.478736 + 0.877959i \(0.341095\pi\)
\(60\) −1.50462 + 0.857967i −0.194246 + 0.110763i
\(61\) 1.89691i 0.242875i 0.992599 + 0.121437i \(0.0387504\pi\)
−0.992599 + 0.121437i \(0.961250\pi\)
\(62\) 5.53507 + 0.602535i 0.702954 + 0.0765220i
\(63\) −9.48122 + 4.10001i −1.19452 + 0.516553i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −0.692722 0.769346i −0.0859216 0.0954256i
\(66\) 6.00162 + 5.46246i 0.738748 + 0.672382i
\(67\) 1.43290 + 2.48185i 0.175056 + 0.303206i 0.940181 0.340676i \(-0.110656\pi\)
−0.765125 + 0.643882i \(0.777323\pi\)
\(68\) −2.64010 + 4.57279i −0.320159 + 0.554532i
\(69\) 0.520680 + 1.63223i 0.0626825 + 0.196497i
\(70\) 2.78565 + 2.02389i 0.332949 + 0.241901i
\(71\) −10.5085 1.10449i −1.24713 0.131079i −0.542137 0.840290i \(-0.682385\pi\)
−0.704997 + 0.709211i \(0.749051\pi\)
\(72\) −2.84306 0.957606i −0.335058 0.112855i
\(73\) 1.87339 4.20771i 0.219264 0.492476i −0.770102 0.637921i \(-0.779795\pi\)
0.989366 + 0.145445i \(0.0464614\pi\)
\(74\) 2.67842 + 0.569316i 0.311360 + 0.0661816i
\(75\) 1.58606 0.695991i 0.183143 0.0803661i
\(76\) 1.56861 0.698389i 0.179932 0.0801107i
\(77\) 4.98533 15.3433i 0.568131 1.74853i
\(78\) 0.196995 1.78226i 0.0223053 0.201802i
\(79\) 4.71772 + 10.5962i 0.530785 + 1.19216i 0.957673 + 0.287859i \(0.0929433\pi\)
−0.426888 + 0.904305i \(0.640390\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) −7.39297 + 5.13263i −0.821442 + 0.570293i
\(82\) −7.29386 3.24744i −0.805472 0.358619i
\(83\) 4.44010 4.93123i 0.487364 0.541273i −0.448431 0.893818i \(-0.648017\pi\)
0.935795 + 0.352545i \(0.114684\pi\)
\(84\) 0.591571 + 5.93447i 0.0645457 + 0.647504i
\(85\) 3.10363 4.27177i 0.336635 0.463339i
\(86\) 0.0347592 + 0.330711i 0.00374818 + 0.0356615i
\(87\) 4.30465 13.0105i 0.461507 1.39487i
\(88\) 4.05764 2.34268i 0.432546 0.249731i
\(89\) 7.36112 5.34817i 0.780277 0.566905i −0.124785 0.992184i \(-0.539824\pi\)
0.905062 + 0.425279i \(0.139824\pi\)
\(90\) 2.72739 + 1.24954i 0.287492 + 0.131713i
\(91\) −3.39018 + 1.10154i −0.355388 + 0.115472i
\(92\) 0.989153 0.103126
\(93\) −4.74584 8.39506i −0.492120 0.870527i
\(94\) −5.66807 −0.584617
\(95\) −1.63302 + 0.530599i −0.167544 + 0.0544383i
\(96\) −1.02558 + 1.39578i −0.104672 + 0.142456i
\(97\) 4.67822 3.39893i 0.475002 0.345109i −0.324386 0.945925i \(-0.605158\pi\)
0.799387 + 0.600816i \(0.205158\pi\)
\(98\) 4.20539 2.42798i 0.424808 0.245263i
\(99\) 1.61914 13.9625i 0.162730 1.40329i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −3.43741 + 4.73119i −0.342035 + 0.470771i −0.945035 0.326970i \(-0.893972\pi\)
0.602999 + 0.797742i \(0.293972\pi\)
\(102\) 9.10048 0.907171i 0.901081 0.0898233i
\(103\) −7.90146 + 8.77546i −0.778554 + 0.864672i −0.993719 0.111906i \(-0.964304\pi\)
0.215165 + 0.976578i \(0.430971\pi\)
\(104\) −0.945754 0.421077i −0.0927389 0.0412900i
\(105\) 0.0319906 5.96380i 0.00312196 0.582007i
\(106\) −2.43132 11.4384i −0.236150 1.11100i
\(107\) −2.20513 4.95281i −0.213178 0.478806i 0.775030 0.631925i \(-0.217735\pi\)
−0.988208 + 0.153119i \(0.951068\pi\)
\(108\) 1.52597 + 4.96703i 0.146837 + 0.477953i
\(109\) −4.35524 + 13.4040i −0.417156 + 1.28387i 0.493152 + 0.869943i \(0.335845\pi\)
−0.910308 + 0.413931i \(0.864155\pi\)
\(110\) −4.28029 + 1.90571i −0.408110 + 0.181702i
\(111\) −1.90580 4.34305i −0.180891 0.412224i
\(112\) 3.36801 + 0.715892i 0.318247 + 0.0676454i
\(113\) −7.92369 + 17.7969i −0.745398 + 1.67419i −0.00686304 + 0.999976i \(0.502185\pi\)
−0.738535 + 0.674215i \(0.764482\pi\)
\(114\) −2.56757 1.50081i −0.240475 0.140563i
\(115\) −0.983734 0.103395i −0.0917337 0.00964160i
\(116\) −6.40099 4.65060i −0.594317 0.431797i
\(117\) −2.70618 + 1.52394i −0.250187 + 0.140888i
\(118\) 1.77971 3.08255i 0.163836 0.283772i
\(119\) −9.09053 15.7453i −0.833327 1.44337i
\(120\) 1.16586 1.28093i 0.106428 0.116932i
\(121\) 7.32873 + 8.13938i 0.666248 + 0.739944i
\(122\) −0.586179 1.80407i −0.0530701 0.163333i
\(123\) 2.80259 + 13.5419i 0.252701 + 1.22104i
\(124\) −5.45035 + 1.13738i −0.489456 + 0.102140i
\(125\) 1.00000i 0.0894427i
\(126\) 7.75021 6.82920i 0.690443 0.608393i
\(127\) 2.94752 2.65396i 0.261550 0.235501i −0.527914 0.849298i \(-0.677026\pi\)
0.789463 + 0.613798i \(0.210359\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) 0.430086 0.383094i 0.0378670 0.0337295i
\(130\) 0.896559 + 0.517629i 0.0786334 + 0.0453990i
\(131\) −18.0248 + 1.89449i −1.57484 + 0.165522i −0.851268 0.524731i \(-0.824166\pi\)
−0.723568 + 0.690253i \(0.757499\pi\)
\(132\) −7.39587 3.34050i −0.643728 0.290754i
\(133\) −0.617998 + 5.87986i −0.0535872 + 0.509848i
\(134\) −2.12970 1.91759i −0.183978 0.165654i
\(135\) −0.998414 5.09933i −0.0859298 0.438880i
\(136\) 1.09782 5.16482i 0.0941369 0.442880i
\(137\) 15.4826 3.29093i 1.32277 0.281163i 0.508204 0.861236i \(-0.330309\pi\)
0.814564 + 0.580073i \(0.196976\pi\)
\(138\) −0.999582 1.39144i −0.0850900 0.118447i
\(139\) −15.2529 4.95597i −1.29373 0.420360i −0.420337 0.907368i \(-0.638088\pi\)
−0.873397 + 0.487008i \(0.838088\pi\)
\(140\) −3.27472 1.06402i −0.276765 0.0899263i
\(141\) 5.72783 + 7.97327i 0.482370 + 0.671470i
\(142\) 10.3355 2.19688i 0.867338 0.184358i
\(143\) 1.00849 4.74456i 0.0843339 0.396760i
\(144\) 2.99983 + 0.0321839i 0.249986 + 0.00268199i
\(145\) 5.87981 + 5.29420i 0.488292 + 0.439660i
\(146\) −0.481449 + 4.58068i −0.0398450 + 0.379100i
\(147\) −7.66517 3.46214i −0.632212 0.285552i
\(148\) −2.72326 + 0.286226i −0.223850 + 0.0235276i
\(149\) 20.4618 + 11.8136i 1.67630 + 0.967811i 0.963988 + 0.265947i \(0.0856846\pi\)
0.712311 + 0.701864i \(0.247649\pi\)
\(150\) −1.29336 + 1.15205i −0.105603 + 0.0940643i
\(151\) 10.6937 + 14.7187i 0.870244 + 1.19779i 0.979029 + 0.203723i \(0.0653042\pi\)
−0.108784 + 0.994065i \(0.534696\pi\)
\(152\) −1.27602 + 1.14893i −0.103499 + 0.0931908i
\(153\) −10.4725 11.8849i −0.846655 0.960837i
\(154\) 16.1329i 1.30002i
\(155\) 5.53939 0.561437i 0.444934 0.0450957i
\(156\) 0.363397 + 1.75591i 0.0290950 + 0.140585i
\(157\) −7.56247 23.2749i −0.603551 1.85754i −0.506459 0.862264i \(-0.669046\pi\)
−0.0970918 0.995275i \(-0.530954\pi\)
\(158\) −7.76122 8.61971i −0.617450 0.685747i
\(159\) −13.6335 + 14.9792i −1.08121 + 1.18793i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −1.70295 + 2.94960i −0.134211 + 0.232461i
\(162\) 5.44506 7.16598i 0.427805 0.563013i
\(163\) −1.62740 1.18238i −0.127468 0.0926108i 0.522225 0.852808i \(-0.325102\pi\)
−0.649692 + 0.760197i \(0.725102\pi\)
\(164\) 7.94039 + 0.834568i 0.620040 + 0.0651688i
\(165\) 7.00618 + 4.09528i 0.545430 + 0.318817i
\(166\) −2.69895 + 6.06194i −0.209479 + 0.470498i
\(167\) 9.93849 + 2.11249i 0.769064 + 0.163469i 0.575704 0.817658i \(-0.304728\pi\)
0.193360 + 0.981128i \(0.438062\pi\)
\(168\) −2.39647 5.46121i −0.184892 0.421342i
\(169\) 10.8970 4.85165i 0.838230 0.373204i
\(170\) −1.63167 + 5.02177i −0.125144 + 0.385152i
\(171\) 0.483453 + 5.12842i 0.0369706 + 0.392180i
\(172\) −0.135253 0.303784i −0.0103130 0.0231633i
\(173\) 3.78907 + 17.8262i 0.288078 + 1.35530i 0.849421 + 0.527716i \(0.176951\pi\)
−0.561343 + 0.827583i \(0.689715\pi\)
\(174\) −0.0735095 + 13.7039i −0.00557274 + 1.03889i
\(175\) 3.14556 + 1.40050i 0.237782 + 0.105868i
\(176\) −3.13512 + 3.48190i −0.236318 + 0.262458i
\(177\) −6.13470 + 0.611531i −0.461112 + 0.0459655i
\(178\) −5.34817 + 7.36112i −0.400862 + 0.551739i
\(179\) −1.51299 14.3951i −0.113086 1.07594i −0.893000 0.450056i \(-0.851404\pi\)
0.779914 0.625886i \(-0.215263\pi\)
\(180\) −2.98003 0.345575i −0.222118 0.0257576i
\(181\) −6.32634 + 3.65251i −0.470233 + 0.271489i −0.716337 0.697754i \(-0.754183\pi\)
0.246104 + 0.969243i \(0.420849\pi\)
\(182\) 2.88386 2.09525i 0.213766 0.155310i
\(183\) −1.94543 + 2.64767i −0.143810 + 0.195721i
\(184\) −0.940741 + 0.305665i −0.0693523 + 0.0225339i
\(185\) 2.73826 0.201321
\(186\) 7.10777 + 6.51763i 0.521167 + 0.477896i
\(187\) 24.7397 1.80914
\(188\) 5.39065 1.75153i 0.393154 0.127743i
\(189\) −17.4385 4.00101i −1.26847 0.291031i
\(190\) 1.38913 1.00926i 0.100778 0.0732193i
\(191\) 18.7851 10.8456i 1.35924 0.784758i 0.369719 0.929144i \(-0.379454\pi\)
0.989522 + 0.144385i \(0.0461205\pi\)
\(192\) 0.544062 1.64438i 0.0392643 0.118673i
\(193\) −0.456525 4.34355i −0.0328614 0.312655i −0.998589 0.0530986i \(-0.983090\pi\)
0.965728 0.259557i \(-0.0835764\pi\)
\(194\) −3.39893 + 4.67822i −0.244029 + 0.335877i
\(195\) −0.177863 1.78427i −0.0127371 0.127775i
\(196\) −3.24928 + 3.60869i −0.232091 + 0.257763i
\(197\) 13.1523 + 5.85576i 0.937059 + 0.417206i 0.817700 0.575645i \(-0.195249\pi\)
0.119360 + 0.992851i \(0.461916\pi\)
\(198\) 2.77476 + 13.7795i 0.197193 + 0.979265i
\(199\) 2.84702 + 13.3942i 0.201820 + 0.949489i 0.956124 + 0.292963i \(0.0946413\pi\)
−0.754304 + 0.656526i \(0.772025\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −0.545320 + 4.93365i −0.0384639 + 0.347993i
\(202\) 1.80716 5.56185i 0.127151 0.391331i
\(203\) 24.8879 11.0808i 1.74679 0.777721i
\(204\) −8.37474 + 3.67497i −0.586349 + 0.257300i
\(205\) −7.80965 1.65999i −0.545450 0.115939i
\(206\) 4.80297 10.7876i 0.334639 0.751611i
\(207\) −0.947219 + 2.81222i −0.0658363 + 0.195463i
\(208\) 1.02959 + 0.108214i 0.0713889 + 0.00750328i
\(209\) −6.50856 4.72874i −0.450206 0.327094i
\(210\) 1.81249 + 5.68179i 0.125074 + 0.392081i
\(211\) −10.6572 + 18.4589i −0.733674 + 1.27076i 0.221628 + 0.975131i \(0.428863\pi\)
−0.955303 + 0.295630i \(0.904471\pi\)
\(212\) 5.84699 + 10.1273i 0.401573 + 0.695545i
\(213\) −13.5348 12.3189i −0.927392 0.844079i
\(214\) 3.62771 + 4.02898i 0.247985 + 0.275415i
\(215\) 0.102758 + 0.316258i 0.00700806 + 0.0215686i
\(216\) −2.98618 4.25238i −0.203184 0.289338i
\(217\) 5.99185 18.2108i 0.406753 1.23623i
\(218\) 14.0938i 0.954555i
\(219\) 6.93017 3.95172i 0.468298 0.267033i
\(220\) 3.48190 3.13512i 0.234750 0.211370i
\(221\) −3.21305 4.42238i −0.216133 0.297482i
\(222\) 3.15460 + 3.54156i 0.211723 + 0.237694i
\(223\) 11.9544 + 6.90186i 0.800524 + 0.462183i 0.843654 0.536886i \(-0.180400\pi\)
−0.0431301 + 0.999069i \(0.513733\pi\)
\(224\) −3.42439 + 0.359918i −0.228801 + 0.0240480i
\(225\) 2.92758 + 0.655180i 0.195172 + 0.0436786i
\(226\) 2.03633 19.3744i 0.135455 1.28877i
\(227\) 8.47556 + 7.63143i 0.562543 + 0.506516i 0.900623 0.434602i \(-0.143111\pi\)
−0.338080 + 0.941117i \(0.609777\pi\)
\(228\) 2.90568 + 0.633930i 0.192433 + 0.0419830i
\(229\) 1.43859 6.76801i 0.0950644 0.447243i −0.904711 0.426027i \(-0.859913\pi\)
0.999775 0.0212160i \(-0.00675376\pi\)
\(230\) 0.967538 0.205657i 0.0637976 0.0135606i
\(231\) 22.6941 16.3030i 1.49316 1.07266i
\(232\) 7.52482 + 2.44496i 0.494029 + 0.160520i
\(233\) 8.17971 + 2.65775i 0.535870 + 0.174115i 0.564436 0.825477i \(-0.309094\pi\)
−0.0285652 + 0.999592i \(0.509094\pi\)
\(234\) 2.10281 2.28561i 0.137465 0.149415i
\(235\) −5.54421 + 1.17846i −0.361664 + 0.0768741i
\(236\) −0.740046 + 3.48164i −0.0481729 + 0.226636i
\(237\) −4.28229 + 19.6283i −0.278165 + 1.27499i
\(238\) 13.5112 + 12.1655i 0.875798 + 0.788572i
\(239\) −0.732522 + 6.96949i −0.0473829 + 0.450819i 0.944949 + 0.327217i \(0.106111\pi\)
−0.992332 + 0.123601i \(0.960556\pi\)
\(240\) −0.712966 + 1.57851i −0.0460218 + 0.101892i
\(241\) 17.1313 1.80057i 1.10352 0.115985i 0.464795 0.885418i \(-0.346128\pi\)
0.638727 + 0.769433i \(0.279461\pi\)
\(242\) −9.48524 5.47631i −0.609734 0.352030i
\(243\) −15.5829 0.418039i −0.999640 0.0268172i
\(244\) 1.11498 + 1.53464i 0.0713791 + 0.0982450i
\(245\) 3.60869 3.24928i 0.230550 0.207589i
\(246\) −6.85011 12.0131i −0.436747 0.765928i
\(247\) 1.77759i 0.113105i
\(248\) 4.83212 2.76597i 0.306840 0.175639i
\(249\) 11.2547 2.32924i 0.713240 0.147610i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) 6.98635 + 7.75912i 0.440974 + 0.489752i 0.922128 0.386885i \(-0.126449\pi\)
−0.481154 + 0.876636i \(0.659782\pi\)
\(252\) −5.26055 + 8.88990i −0.331383 + 0.560011i
\(253\) −2.31727 4.01363i −0.145686 0.252335i
\(254\) −1.98314 + 3.43490i −0.124433 + 0.215524i
\(255\) 8.71300 2.77944i 0.545629 0.174055i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 12.8632 + 1.35198i 0.802385 + 0.0843341i 0.496838 0.867843i \(-0.334494\pi\)
0.305547 + 0.952177i \(0.401161\pi\)
\(258\) −0.290654 + 0.497248i −0.0180953 + 0.0309573i
\(259\) 3.83492 8.61337i 0.238290 0.535209i
\(260\) −1.01263 0.215242i −0.0628009 0.0133487i
\(261\) 19.3516 13.7450i 1.19783 0.850793i
\(262\) 16.5572 7.37174i 1.02291 0.455428i
\(263\) −1.14851 + 3.53476i −0.0708204 + 0.217963i −0.980202 0.198000i \(-0.936555\pi\)
0.909382 + 0.415963i \(0.136555\pi\)
\(264\) 8.06616 + 0.891558i 0.496438 + 0.0548716i
\(265\) −4.75637 10.6830i −0.292182 0.656251i
\(266\) −1.22922 5.78305i −0.0753686 0.354581i
\(267\) 15.7594 + 0.0845357i 0.964462 + 0.00517350i
\(268\) 2.61803 + 1.16562i 0.159922 + 0.0712017i
\(269\) 17.5444 19.4850i 1.06970 1.18802i 0.0882894 0.996095i \(-0.471860\pi\)
0.981409 0.191926i \(-0.0614734\pi\)
\(270\) 2.52533 + 4.54122i 0.153687 + 0.276370i
\(271\) 6.01925 8.28479i 0.365644 0.503265i −0.586067 0.810263i \(-0.699324\pi\)
0.951710 + 0.306998i \(0.0993244\pi\)
\(272\) 0.551932 + 5.25128i 0.0334658 + 0.318405i
\(273\) −5.86165 1.93939i −0.354763 0.117377i
\(274\) −13.7079 + 7.91425i −0.828124 + 0.478117i
\(275\) −3.79054 + 2.75399i −0.228578 + 0.166072i
\(276\) 1.38064 + 1.01445i 0.0831046 + 0.0610628i
\(277\) −5.14297 + 1.67105i −0.309011 + 0.100404i −0.459418 0.888220i \(-0.651942\pi\)
0.150406 + 0.988624i \(0.451942\pi\)
\(278\) 16.0379 0.961886
\(279\) 1.98564 16.5848i 0.118877 0.992909i
\(280\) 3.44325 0.205774
\(281\) −3.88372 + 1.26190i −0.231683 + 0.0752785i −0.422558 0.906336i \(-0.638868\pi\)
0.190874 + 0.981614i \(0.438868\pi\)
\(282\) −7.91136 5.81303i −0.471115 0.346161i
\(283\) 8.02626 5.83142i 0.477111 0.346642i −0.323095 0.946367i \(-0.604723\pi\)
0.800206 + 0.599725i \(0.204723\pi\)
\(284\) −9.15079 + 5.28321i −0.542999 + 0.313501i
\(285\) −2.82349 0.934183i −0.167249 0.0553362i
\(286\) 0.507021 + 4.82398i 0.0299808 + 0.285248i
\(287\) −16.1590 + 22.2410i −0.953836 + 1.31284i
\(288\) −2.86295 + 0.896389i −0.168701 + 0.0528202i
\(289\) 7.28051 8.08582i 0.428265 0.475637i
\(290\) −7.22803 3.21813i −0.424445 0.188975i
\(291\) 10.0156 + 0.0537251i 0.587126 + 0.00314942i
\(292\) −0.957624 4.50527i −0.0560407 0.263651i
\(293\) −11.0412 24.7990i −0.645036 1.44877i −0.879140 0.476563i \(-0.841882\pi\)
0.234104 0.972211i \(-0.424784\pi\)
\(294\) 8.35987 + 0.924022i 0.487557 + 0.0538901i
\(295\) 1.09992 3.38521i 0.0640400 0.197095i
\(296\) 2.50152 1.11375i 0.145398 0.0647354i
\(297\) 16.5796 17.8280i 0.962045 1.03449i
\(298\) −23.1110 4.91239i −1.33878 0.284567i
\(299\) −0.416510 + 0.935496i −0.0240874 + 0.0541011i
\(300\) 0.874059 1.49533i 0.0504638 0.0863331i
\(301\) 1.13872 + 0.119685i 0.0656348 + 0.00689850i
\(302\) −14.7187 10.6937i −0.846964 0.615356i
\(303\) −9.65006 + 3.07837i −0.554382 + 0.176847i
\(304\) 0.858527 1.48701i 0.0492399 0.0852860i
\(305\) −0.948457 1.64278i −0.0543085 0.0940650i
\(306\) 13.6326 + 8.06702i 0.779325 + 0.461161i
\(307\) 7.69603 + 8.54730i 0.439236 + 0.487820i 0.921595 0.388153i \(-0.126887\pi\)
−0.482359 + 0.875973i \(0.660220\pi\)
\(308\) −4.98533 15.3433i −0.284066 0.874264i
\(309\) −20.0286 + 4.14504i −1.13939 + 0.235803i
\(310\) −5.09477 + 2.24572i −0.289364 + 0.127548i
\(311\) 22.0667i 1.25129i 0.780109 + 0.625644i \(0.215164\pi\)
−0.780109 + 0.625644i \(0.784836\pi\)
\(312\) −0.888216 1.55767i −0.0502853 0.0881858i
\(313\) 3.21364 2.89358i 0.181646 0.163555i −0.573292 0.819351i \(-0.694334\pi\)
0.754938 + 0.655797i \(0.227667\pi\)
\(314\) 14.3847 + 19.7988i 0.811774 + 1.11731i
\(315\) 6.16098 8.29132i 0.347132 0.467163i
\(316\) 10.0450 + 5.79948i 0.565075 + 0.326246i
\(317\) 18.6915 1.96455i 1.04982 0.110340i 0.436125 0.899886i \(-0.356350\pi\)
0.613692 + 0.789546i \(0.289684\pi\)
\(318\) 8.33741 18.4590i 0.467539 1.03513i
\(319\) −3.87496 + 36.8678i −0.216956 + 2.06420i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) 2.00161 9.17455i 0.111719 0.512073i
\(322\) 0.708127 3.33147i 0.0394624 0.185656i
\(323\) −8.86827 + 1.88501i −0.493444 + 0.104885i
\(324\) −2.96415 + 8.49787i −0.164675 + 0.472104i
\(325\) 0.984588 + 0.319912i 0.0546151 + 0.0177455i
\(326\) 1.91312 + 0.621611i 0.105958 + 0.0344279i
\(327\) −19.8258 + 14.2424i −1.09637 + 0.787608i
\(328\) −7.80965 + 1.65999i −0.431216 + 0.0916578i
\(329\) −4.05772 + 19.0901i −0.223710 + 1.05247i
\(330\) −7.92878 1.72982i −0.436465 0.0952233i
\(331\) −19.5111 17.5679i −1.07243 0.965619i −0.0729318 0.997337i \(-0.523236\pi\)
−0.999497 + 0.0317179i \(0.989902\pi\)
\(332\) 0.693612 6.59927i 0.0380669 0.362182i
\(333\) 1.79405 8.01648i 0.0983134 0.439300i
\(334\) −10.1049 + 1.06206i −0.552913 + 0.0581135i
\(335\) −2.48185 1.43290i −0.135598 0.0782874i
\(336\) 3.96679 + 4.45337i 0.216406 + 0.242951i
\(337\) 2.77751 + 3.82292i 0.151301 + 0.208248i 0.877939 0.478773i \(-0.158918\pi\)
−0.726638 + 0.687020i \(0.758918\pi\)
\(338\) −8.86441 + 7.98155i −0.482160 + 0.434139i
\(339\) −29.3118 + 16.7142i −1.59200 + 0.907789i
\(340\) 5.28020i 0.286359i
\(341\) 17.3835 + 19.4511i 0.941371 + 1.05333i
\(342\) −2.04456 4.72803i −0.110557 0.255662i
\(343\) 2.28130 + 7.02112i 0.123179 + 0.379105i
\(344\) 0.222508 + 0.247120i 0.0119968 + 0.0133238i
\(345\) −1.26704 1.15321i −0.0682149 0.0620867i
\(346\) −9.11221 15.7828i −0.489875 0.848489i
\(347\) −6.77714 + 11.7384i −0.363816 + 0.630148i −0.988585 0.150661i \(-0.951860\pi\)
0.624769 + 0.780809i \(0.285193\pi\)
\(348\) −4.16483 13.0559i −0.223258 0.699870i
\(349\) −9.48771 6.89322i −0.507865 0.368986i 0.304148 0.952625i \(-0.401628\pi\)
−0.812013 + 0.583639i \(0.801628\pi\)
\(350\) −3.42439 0.359918i −0.183041 0.0192384i
\(351\) −5.34014 0.648311i −0.285036 0.0346043i
\(352\) 1.90571 4.28029i 0.101575 0.228140i
\(353\) −11.6135 2.46852i −0.618122 0.131386i −0.111801 0.993731i \(-0.535662\pi\)
−0.506322 + 0.862345i \(0.668995\pi\)
\(354\) 5.64547 2.47733i 0.300054 0.131668i
\(355\) 9.65291 4.29775i 0.512323 0.228101i
\(356\) 2.81170 8.65352i 0.149020 0.458635i
\(357\) 3.45960 31.2999i 0.183101 1.65657i
\(358\) 5.88728 + 13.2230i 0.311152 + 0.698860i
\(359\) 6.77162 + 31.8579i 0.357392 + 1.68140i 0.678694 + 0.734421i \(0.262546\pi\)
−0.321302 + 0.946977i \(0.604120\pi\)
\(360\) 2.94097 0.592219i 0.155002 0.0312127i
\(361\) −14.6640 6.52883i −0.771789 0.343622i
\(362\) 4.88801 5.42869i 0.256908 0.285326i
\(363\) 1.88173 + 18.8769i 0.0987650 + 0.990782i
\(364\) −2.09525 + 2.88386i −0.109821 + 0.151155i
\(365\) 0.481449 + 4.58068i 0.0252002 + 0.239764i
\(366\) 1.03204 3.11925i 0.0539455 0.163046i
\(367\) −8.93281 + 5.15736i −0.466289 + 0.269212i −0.714685 0.699447i \(-0.753430\pi\)
0.248396 + 0.968659i \(0.420097\pi\)
\(368\) 0.800242 0.581410i 0.0417155 0.0303081i
\(369\) −9.97649 + 21.7758i −0.519355 + 1.13360i
\(370\) −2.60424 + 0.846169i −0.135388 + 0.0439902i
\(371\) −40.2653 −2.09047
\(372\) −8.77395 4.00221i −0.454908 0.207505i
\(373\) 22.2339 1.15123 0.575614 0.817721i \(-0.304763\pi\)
0.575614 + 0.817721i \(0.304763\pi\)
\(374\) −23.5288 + 7.64498i −1.21665 + 0.395312i
\(375\) −1.02558 + 1.39578i −0.0529605 + 0.0720776i
\(376\) −4.58556 + 3.33161i −0.236482 + 0.171815i
\(377\) 7.09363 4.09551i 0.365341 0.210930i
\(378\) 17.8214 1.58362i 0.916635 0.0814525i
\(379\) −0.936045 8.90587i −0.0480814 0.457464i −0.991902 0.127006i \(-0.959463\pi\)
0.943821 0.330458i \(-0.107203\pi\)
\(380\) −1.00926 + 1.38913i −0.0517739 + 0.0712606i
\(381\) 6.83591 0.681430i 0.350214 0.0349107i
\(382\) −14.5142 + 16.1197i −0.742611 + 0.824754i
\(383\) −3.01959 1.34441i −0.154294 0.0686961i 0.328137 0.944630i \(-0.393579\pi\)
−0.482431 + 0.875934i \(0.660246\pi\)
\(384\) −0.00929082 + 1.73203i −0.000474120 + 0.0883871i
\(385\) 3.35421 + 15.7803i 0.170946 + 0.804240i
\(386\) 1.77641 + 3.98988i 0.0904169 + 0.203080i
\(387\) 0.993196 0.0936280i 0.0504870 0.00475938i
\(388\) 1.78692 5.49958i 0.0907172 0.279199i
\(389\) 26.2835 11.7022i 1.33263 0.593324i 0.388058 0.921635i \(-0.373146\pi\)
0.944570 + 0.328310i \(0.106479\pi\)
\(390\) 0.720529 + 1.64198i 0.0364854 + 0.0831451i
\(391\) −5.10880 1.08591i −0.258363 0.0549167i
\(392\) 1.97510 4.43615i 0.0997576 0.224059i
\(393\) −27.1016 15.8415i −1.36709 0.799100i
\(394\) −14.3181 1.50489i −0.721334 0.0758152i
\(395\) −9.38376 6.81770i −0.472148 0.343036i
\(396\) −6.89705 12.2476i −0.346590 0.615466i
\(397\) 3.19343 5.53119i 0.160274 0.277602i −0.774693 0.632337i \(-0.782096\pi\)
0.934967 + 0.354735i \(0.115429\pi\)
\(398\) −6.84671 11.8589i −0.343195 0.594430i
\(399\) −6.89282 + 7.57317i −0.345073 + 0.379133i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −8.40212 25.8591i −0.419582 1.29134i −0.908088 0.418779i \(-0.862458\pi\)
0.488506 0.872560i \(-0.337542\pi\)
\(402\) −1.00595 4.86069i −0.0501723 0.242429i
\(403\) 1.21933 5.63362i 0.0607393 0.280631i
\(404\) 5.84808i 0.290953i
\(405\) 3.83619 8.14148i 0.190622 0.404553i
\(406\) −20.2457 + 18.2293i −1.00477 + 0.904703i
\(407\) 7.54113 + 10.3795i 0.373800 + 0.514491i
\(408\) 6.82922 6.08304i 0.338097 0.301156i
\(409\) 20.0478 + 11.5746i 0.991300 + 0.572327i 0.905663 0.423999i \(-0.139374\pi\)
0.0856374 + 0.996326i \(0.472707\pi\)
\(410\) 7.94039 0.834568i 0.392148 0.0412164i
\(411\) 24.9854 + 11.2852i 1.23244 + 0.556657i
\(412\) −1.23433 + 11.7439i −0.0608110 + 0.578578i
\(413\) −9.10797 8.20086i −0.448174 0.403538i
\(414\) 0.0318348 2.96729i 0.00156459 0.145834i
\(415\) −1.37962 + 6.49062i −0.0677231 + 0.318612i
\(416\) −1.01263 + 0.215242i −0.0496485 + 0.0105531i
\(417\) −16.2069 22.5604i −0.793657 1.10479i
\(418\) 7.65127 + 2.48605i 0.374236 + 0.121597i
\(419\) −19.8273 6.44228i −0.968627 0.314726i −0.218365 0.975867i \(-0.570072\pi\)
−0.750262 + 0.661141i \(0.770072\pi\)
\(420\) −3.47955 4.84362i −0.169785 0.236344i
\(421\) −32.9634 + 7.00658i −1.60654 + 0.341480i −0.921907 0.387411i \(-0.873369\pi\)
−0.684629 + 0.728891i \(0.740036\pi\)
\(422\) 4.43153 20.8487i 0.215723 1.01490i
\(423\) −0.182420 + 17.0032i −0.00886958 + 0.826725i
\(424\) −8.69032 7.82480i −0.422039 0.380006i
\(425\) −0.551932 + 5.25128i −0.0267726 + 0.254724i
\(426\) 16.6792 + 7.53350i 0.808108 + 0.364999i
\(427\) −6.49577 + 0.682732i −0.314352 + 0.0330397i
\(428\) −4.69518 2.71076i −0.226950 0.131030i
\(429\) 6.27353 5.58807i 0.302889 0.269794i
\(430\) −0.195458 0.269025i −0.00942582 0.0129735i
\(431\) −7.88657 + 7.10110i −0.379883 + 0.342048i −0.836847 0.547437i \(-0.815604\pi\)
0.456964 + 0.889485i \(0.348937\pi\)
\(432\) 4.15408 + 3.12147i 0.199863 + 0.150182i
\(433\) 11.5612i 0.555598i −0.960639 0.277799i \(-0.910395\pi\)
0.960639 0.277799i \(-0.0896049\pi\)
\(434\) −0.0711454 + 19.1711i −0.00341509 + 0.920241i
\(435\) 2.77730 + 13.4197i 0.133161 + 0.643426i
\(436\) 4.35524 + 13.4040i 0.208578 + 0.641937i
\(437\) 1.13647 + 1.26218i 0.0543648 + 0.0603782i
\(438\) −5.36983 + 5.89985i −0.256581 + 0.281906i
\(439\) −6.04463 10.4696i −0.288494 0.499687i 0.684956 0.728584i \(-0.259821\pi\)
−0.973451 + 0.228897i \(0.926488\pi\)
\(440\) −2.34268 + 4.05764i −0.111683 + 0.193441i
\(441\) −7.14818 12.6936i −0.340390 0.604456i
\(442\) 4.42238 + 3.21305i 0.210351 + 0.152829i
\(443\) 17.4249 + 1.83143i 0.827883 + 0.0870140i 0.508985 0.860775i \(-0.330021\pi\)
0.318898 + 0.947789i \(0.396687\pi\)
\(444\) −4.09461 2.39340i −0.194322 0.113586i
\(445\) −3.70083 + 8.31221i −0.175436 + 0.394037i
\(446\) −13.5021 2.86996i −0.639342 0.135896i
\(447\) 16.4444 + 37.4744i 0.777792 + 1.77248i
\(448\) 3.14556 1.40050i 0.148614 0.0661672i
\(449\) 2.83819 8.73506i 0.133943 0.412233i −0.861481 0.507789i \(-0.830463\pi\)
0.995424 + 0.0955561i \(0.0304629\pi\)
\(450\) −2.98676 + 0.281560i −0.140797 + 0.0132729i
\(451\) −15.2154 34.1744i −0.716466 1.60921i
\(452\) 4.05036 + 19.0554i 0.190513 + 0.896292i
\(453\) −0.169030 + 31.5112i −0.00794174 + 1.48053i
\(454\) −10.4190 4.63883i −0.488987 0.217711i
\(455\) 2.38522 2.64905i 0.111821 0.124189i
\(456\) −2.95936 + 0.295000i −0.138585 + 0.0138147i
\(457\) 6.02587 8.29389i 0.281878 0.387972i −0.644477 0.764624i \(-0.722925\pi\)
0.926355 + 0.376652i \(0.122925\pi\)
\(458\) 0.723255 + 6.88131i 0.0337955 + 0.321542i
\(459\) −2.42847 27.3291i −0.113351 1.27561i
\(460\) −0.856632 + 0.494577i −0.0399407 + 0.0230598i
\(461\) −2.30103 + 1.67180i −0.107170 + 0.0778634i −0.640079 0.768309i \(-0.721099\pi\)
0.532910 + 0.846172i \(0.321099\pi\)
\(462\) −16.5455 + 22.5179i −0.769765 + 1.04763i
\(463\) −20.7720 + 6.74922i −0.965355 + 0.313663i −0.748940 0.662638i \(-0.769437\pi\)
−0.216416 + 0.976301i \(0.569437\pi\)
\(464\) −7.91206 −0.367308
\(465\) 8.30754 + 4.89742i 0.385253 + 0.227112i
\(466\) −8.60065 −0.398418
\(467\) −14.8399 + 4.82179i −0.686711 + 0.223126i −0.631531 0.775351i \(-0.717573\pi\)
−0.0551797 + 0.998476i \(0.517573\pi\)
\(468\) −1.29360 + 2.82355i −0.0597965 + 0.130519i
\(469\) −7.98308 + 5.80005i −0.368624 + 0.267821i
\(470\) 4.90869 2.83403i 0.226421 0.130724i
\(471\) 13.3146 40.2425i 0.613506 1.85428i
\(472\) −0.372061 3.53993i −0.0171255 0.162938i
\(473\) −0.915792 + 1.26048i −0.0421081 + 0.0579569i
\(474\) −1.99277 19.9909i −0.0915311 0.918213i
\(475\) 1.14893 1.27602i 0.0527167 0.0585478i
\(476\) −16.6092 7.39490i −0.761282 0.338945i
\(477\) −34.3916 + 6.92540i −1.57468 + 0.317092i
\(478\) −1.45702 6.85474i −0.0666425 0.313528i
\(479\) 1.78766 + 4.01516i 0.0816805 + 0.183457i 0.949769 0.312952i \(-0.101318\pi\)
−0.868088 + 0.496410i \(0.834651\pi\)
\(480\) 0.190286 1.72157i 0.00868532 0.0785784i
\(481\) 0.876002 2.69606i 0.0399423 0.122930i
\(482\) −15.7364 + 7.00630i −0.716774 + 0.319128i
\(483\) −5.40197 + 2.37048i −0.245798 + 0.107860i
\(484\) 10.7133 + 2.27718i 0.486967 + 0.103508i
\(485\) −2.35200 + 5.28267i −0.106799 + 0.239874i
\(486\) 14.9494 4.41779i 0.678116 0.200395i
\(487\) −26.6767 2.80383i −1.20884 0.127054i −0.521408 0.853307i \(-0.674593\pi\)
−0.687427 + 0.726254i \(0.741260\pi\)
\(488\) −1.53464 1.11498i −0.0694697 0.0504727i
\(489\) −1.05887 3.31935i −0.0478839 0.150106i
\(490\) −2.42798 + 4.20539i −0.109685 + 0.189980i
\(491\) −6.35296 11.0037i −0.286705 0.496588i 0.686316 0.727303i \(-0.259227\pi\)
−0.973021 + 0.230716i \(0.925893\pi\)
\(492\) 10.2271 + 9.30834i 0.461073 + 0.419652i
\(493\) 27.9545 + 31.0466i 1.25901 + 1.39827i
\(494\) −0.549306 1.69059i −0.0247145 0.0760633i
\(495\) 5.57904 + 12.9015i 0.250759 + 0.579878i
\(496\) −3.74089 + 4.12380i −0.167971 + 0.185164i
\(497\) 36.3828i 1.63199i
\(498\) −9.98412 + 5.69315i −0.447399 + 0.255116i
\(499\) −2.54376 + 2.29041i −0.113874 + 0.102533i −0.724101 0.689694i \(-0.757745\pi\)
0.610227 + 0.792227i \(0.291078\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) 11.7054 + 13.1412i 0.522959 + 0.587107i
\(502\) −9.04211 5.22047i −0.403569 0.233001i
\(503\) −3.86680 + 0.406417i −0.172412 + 0.0181212i −0.190341 0.981718i \(-0.560959\pi\)
0.0179291 + 0.999839i \(0.494293\pi\)
\(504\) 2.25595 10.0804i 0.100488 0.449017i
\(505\) 0.611291 5.81604i 0.0272021 0.258810i
\(506\) 3.44413 + 3.10111i 0.153110 + 0.137861i
\(507\) 20.1855 + 4.40386i 0.896470 + 0.195582i
\(508\) 0.824635 3.87960i 0.0365873 0.172130i
\(509\) 18.9269 4.02304i 0.838922 0.178318i 0.231637 0.972802i \(-0.425592\pi\)
0.607285 + 0.794484i \(0.292259\pi\)
\(510\) −7.42766 + 5.33587i −0.328902 + 0.236276i
\(511\) 15.0831 + 4.90080i 0.667237 + 0.216799i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −4.58479 + 7.65396i −0.202424 + 0.337930i
\(514\) −12.6514 + 2.68914i −0.558030 + 0.118613i
\(515\) 2.45513 11.5505i 0.108186 0.508976i
\(516\) 0.122770 0.562728i 0.00540465 0.0247727i
\(517\) −19.7357 17.7701i −0.867973 0.781527i
\(518\) −0.985547 + 9.37686i −0.0433025 + 0.411995i
\(519\) −12.9934 + 28.7673i −0.570346 + 1.26275i
\(520\) 1.02959 0.108214i 0.0451503 0.00474549i
\(521\) −16.3405 9.43419i −0.715890 0.413319i 0.0973482 0.995250i \(-0.468964\pi\)
−0.813238 + 0.581931i \(0.802297\pi\)
\(522\) −14.1570 + 19.0522i −0.619635 + 0.833892i
\(523\) −4.68155 6.44359i −0.204710 0.281759i 0.694302 0.719684i \(-0.255713\pi\)
−0.899011 + 0.437925i \(0.855713\pi\)
\(524\) −13.4688 + 12.1274i −0.588389 + 0.529788i
\(525\) 2.95419 + 5.18079i 0.128932 + 0.226108i
\(526\) 3.71667i 0.162054i
\(527\) 29.3987 + 0.109101i 1.28063 + 0.00475251i
\(528\) −7.94688 + 1.64466i −0.345844 + 0.0715746i
\(529\) −6.80504 20.9438i −0.295871 0.910598i
\(530\) 7.82480 + 8.69032i 0.339888 + 0.377484i
\(531\) −9.18985 5.43804i −0.398805 0.235991i
\(532\) 2.95612 + 5.12015i 0.128164 + 0.221987i
\(533\) −4.13281 + 7.15824i −0.179012 + 0.310058i
\(534\) −15.0142 + 4.78954i −0.649730 + 0.207263i
\(535\) 4.38610 + 3.18669i 0.189628 + 0.137773i
\(536\) −2.85009 0.299557i −0.123105 0.0129389i
\(537\) 12.6515 21.6441i 0.545953 0.934011i
\(538\) −10.6645 + 23.9528i −0.459779 + 1.03268i
\(539\) 22.2548 + 4.73040i 0.958581 + 0.203753i
\(540\) −3.80505 3.53859i −0.163743 0.152277i
\(541\) 24.0868 10.7242i 1.03557 0.461067i 0.182692 0.983170i \(-0.441519\pi\)
0.852883 + 0.522103i \(0.174852\pi\)
\(542\) −3.16451 + 9.73936i −0.135927 + 0.418341i
\(543\) −12.5761 1.39004i −0.539691 0.0596525i
\(544\) −2.14765 4.82371i −0.0920798 0.206815i
\(545\) −2.93027 13.7859i −0.125519 0.590521i
\(546\) 6.17406 + 0.0331185i 0.264226 + 0.00141734i
\(547\) −13.9964 6.23162i −0.598444 0.266445i 0.0850778 0.996374i \(-0.472886\pi\)
−0.683522 + 0.729930i \(0.739553\pi\)
\(548\) 10.5913 11.7629i 0.452439 0.502485i
\(549\) −5.43077 + 1.70037i −0.231780 + 0.0725701i
\(550\) 2.75399 3.79054i 0.117430 0.161629i
\(551\) −1.42007 13.5110i −0.0604968 0.575589i
\(552\) −1.62655 0.538160i −0.0692304 0.0229056i
\(553\) −34.5874 + 19.9691i −1.47081 + 0.849171i
\(554\) 4.37487 3.17853i 0.185871 0.135043i
\(555\) 3.82200 + 2.80829i 0.162235 + 0.119205i
\(556\) −15.2529 + 4.95597i −0.646867 + 0.210180i
\(557\) −12.8110 −0.542818 −0.271409 0.962464i \(-0.587490\pi\)
−0.271409 + 0.962464i \(0.587490\pi\)
\(558\) 3.23654 + 16.3867i 0.137014 + 0.693705i
\(559\) 0.344257 0.0145605
\(560\) −3.27472 + 1.06402i −0.138382 + 0.0449632i
\(561\) 34.5311 + 25.3724i 1.45790 + 1.07122i
\(562\) 3.30369 2.40027i 0.139358 0.101249i
\(563\) −17.6058 + 10.1647i −0.741995 + 0.428391i −0.822794 0.568340i \(-0.807586\pi\)
0.0807995 + 0.996730i \(0.474253\pi\)
\(564\) 9.32048 + 3.08378i 0.392463 + 0.129850i
\(565\) −2.03633 19.3744i −0.0856692 0.815088i
\(566\) −5.83142 + 8.02626i −0.245113 + 0.337369i
\(567\) −20.2370 23.4691i −0.849874 0.985609i
\(568\) 7.07032 7.85238i 0.296664 0.329479i
\(569\) −37.3367 16.6234i −1.56523 0.696887i −0.572803 0.819693i \(-0.694144\pi\)
−0.992431 + 0.122806i \(0.960811\pi\)
\(570\) 2.97398 + 0.0159528i 0.124566 + 0.000668190i
\(571\) 5.33557 + 25.1019i 0.223287 + 1.05048i 0.936807 + 0.349847i \(0.113766\pi\)
−0.713520 + 0.700635i \(0.752900\pi\)
\(572\) −1.97290 4.43120i −0.0824910 0.185278i
\(573\) 37.3427 + 4.12752i 1.56002 + 0.172430i
\(574\) 8.49529 26.1458i 0.354586 1.09131i
\(575\) 0.903636 0.402325i 0.0376842 0.0167781i
\(576\) 2.44583 1.73722i 0.101910 0.0723840i
\(577\) −22.7188 4.82902i −0.945795 0.201035i −0.290899 0.956754i \(-0.593954\pi\)
−0.654896 + 0.755719i \(0.727288\pi\)
\(578\) −4.42552 + 9.93987i −0.184077 + 0.413444i
\(579\) 3.81743 6.53082i 0.158647 0.271412i
\(580\) 7.86872 + 0.827036i 0.326731 + 0.0343408i
\(581\) 18.4845 + 13.4298i 0.766867 + 0.557161i
\(582\) −9.54202 + 3.04390i −0.395529 + 0.126174i
\(583\) 27.3953 47.4500i 1.13460 1.96518i
\(584\) 2.30296 + 3.98884i 0.0952971 + 0.165059i
\(585\) 1.58165 2.67286i 0.0653932 0.110509i
\(586\) 18.1642 + 20.1733i 0.750355 + 0.833353i
\(587\) 10.9395 + 33.6682i 0.451520 + 1.38963i 0.875173 + 0.483810i \(0.160748\pi\)
−0.423653 + 0.905824i \(0.639252\pi\)
\(588\) −8.23625 + 1.70454i −0.339657 + 0.0702942i
\(589\) −7.71342 5.64798i −0.317826 0.232721i
\(590\) 3.55943i 0.146539i
\(591\) 12.3521 + 21.6620i 0.508097 + 0.891055i
\(592\) −2.03492 + 1.83225i −0.0836348 + 0.0753051i
\(593\) 0.441382 + 0.607510i 0.0181254 + 0.0249475i 0.817984 0.575242i \(-0.195092\pi\)
−0.799858 + 0.600189i \(0.795092\pi\)
\(594\) −10.2590 + 22.0788i −0.420930 + 0.905905i
\(595\) 15.7453 + 9.09053i 0.645493 + 0.372675i
\(596\) 23.4979 2.46972i 0.962509 0.101164i
\(597\) −9.76294 + 21.6151i −0.399571 + 0.884649i
\(598\) 0.107040 1.01842i 0.00437719 0.0416462i
\(599\) −5.23864 4.71689i −0.214045 0.192727i 0.555133 0.831762i \(-0.312667\pi\)
−0.769178 + 0.639035i \(0.779334\pi\)
\(600\) −0.369196 + 1.69225i −0.0150724 + 0.0690856i
\(601\) 8.32833 39.1817i 0.339720 1.59826i −0.394203 0.919023i \(-0.628979\pi\)
0.733923 0.679233i \(-0.237687\pi\)
\(602\) −1.11997 + 0.238058i −0.0456467 + 0.00970251i
\(603\) −5.82097 + 6.32701i −0.237048 + 0.257656i
\(604\) 17.3028 + 5.62203i 0.704042 + 0.228757i
\(605\) −10.4166 3.38454i −0.423493 0.137601i
\(606\) 8.22649 5.90973i 0.334178 0.240066i
\(607\) 4.71858 1.00297i 0.191521 0.0407091i −0.111152 0.993803i \(-0.535454\pi\)
0.302674 + 0.953094i \(0.402121\pi\)
\(608\) −0.356996 + 1.67953i −0.0144781 + 0.0681140i
\(609\) 46.1022 + 10.0581i 1.86816 + 0.407574i
\(610\) 1.40968 + 1.26928i 0.0570763 + 0.0513918i
\(611\) −0.613363 + 5.83576i −0.0248140 + 0.236090i
\(612\) −15.4582 3.45948i −0.624862 0.139841i
\(613\) 36.3747 3.82314i 1.46916 0.154415i 0.664116 0.747629i \(-0.268808\pi\)
0.805045 + 0.593214i \(0.202141\pi\)
\(614\) −9.96062 5.75077i −0.401978 0.232082i
\(615\) −9.19809 10.3264i −0.370903 0.416399i
\(616\) 9.48266 + 13.0518i 0.382067 + 0.525871i
\(617\) −33.9746 + 30.5909i −1.36777 + 1.23154i −0.422040 + 0.906577i \(0.638686\pi\)
−0.945726 + 0.324964i \(0.894648\pi\)
\(618\) 17.7674 10.1313i 0.714710 0.407542i
\(619\) 40.7171i 1.63656i −0.574820 0.818280i \(-0.694928\pi\)
0.574820 0.818280i \(-0.305072\pi\)
\(620\) 4.15145 3.71018i 0.166726 0.149004i
\(621\) −4.20625 + 2.95379i −0.168791 + 0.118532i
\(622\) −6.81898 20.9867i −0.273416 0.841489i
\(623\) 20.9636 + 23.2824i 0.839889 + 0.932791i
\(624\) 1.32609 + 1.20696i 0.0530861 + 0.0483171i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −2.16219 + 3.74503i −0.0864186 + 0.149681i
\(627\) −4.23481 13.2753i −0.169122 0.530164i
\(628\) −19.7988 14.3847i −0.790059 0.574011i
\(629\) 14.3794 + 1.51133i 0.573343 + 0.0602607i
\(630\) −3.29728 + 9.78936i −0.131367 + 0.390018i
\(631\) −14.6255 + 32.8494i −0.582232 + 1.30772i 0.346877 + 0.937911i \(0.387242\pi\)
−0.929109 + 0.369805i \(0.879425\pi\)
\(632\) −11.3455 2.41156i −0.451300 0.0959267i
\(633\) −33.8061 + 14.8347i −1.34367 + 0.589625i
\(634\) −17.1696 + 7.64438i −0.681890 + 0.303597i
\(635\) −1.22565 + 3.77215i −0.0486383 + 0.149693i
\(636\) −2.22520 + 20.1320i −0.0882350 + 0.798285i
\(637\) −2.04474 4.59255i −0.0810154 0.181963i
\(638\) −7.70747 36.2608i −0.305142 1.43558i
\(639\) −6.25763 31.0755i −0.247548 1.22933i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) −18.1752 + 20.1856i −0.717876 + 0.797282i −0.986114 0.166071i \(-0.946892\pi\)
0.268238 + 0.963353i \(0.413559\pi\)
\(642\) 0.931451 + 9.34404i 0.0367614 + 0.368780i
\(643\) −10.8641 + 14.9531i −0.428437 + 0.589692i −0.967594 0.252513i \(-0.918743\pi\)
0.539157 + 0.842205i \(0.318743\pi\)
\(644\) 0.356014 + 3.38724i 0.0140289 + 0.133476i
\(645\) −0.180918 + 0.546812i −0.00712366 + 0.0215307i
\(646\) 7.85173 4.53320i 0.308922 0.178356i
\(647\) −29.9293 + 21.7449i −1.17664 + 0.854881i −0.991789 0.127885i \(-0.959181\pi\)
−0.184854 + 0.982766i \(0.559181\pi\)
\(648\) 0.193092 8.99793i 0.00758537 0.353472i
\(649\) 15.8610 5.15354i 0.622597 0.202294i
\(650\) −1.03526 −0.0406061
\(651\) 27.0398 19.2731i 1.05977 0.755373i
\(652\) −2.01158 −0.0787794
\(653\) 15.3928 5.00144i 0.602368 0.195721i 0.00807185 0.999967i \(-0.497431\pi\)
0.594296 + 0.804246i \(0.297431\pi\)
\(654\) 14.4543 19.6719i 0.565208 0.769231i
\(655\) 14.6627 10.6531i 0.572920 0.416250i
\(656\) 6.91445 3.99206i 0.269964 0.155864i
\(657\) 13.7258 + 1.59169i 0.535493 + 0.0620977i
\(658\) −2.04004 19.4097i −0.0795289 0.756667i
\(659\) 28.7727 39.6023i 1.12083 1.54269i 0.316408 0.948623i \(-0.397523\pi\)
0.804419 0.594063i \(-0.202477\pi\)
\(660\) 8.07526 0.804974i 0.314329 0.0313336i
\(661\) 18.8464 20.9311i 0.733042 0.814125i −0.255222 0.966882i \(-0.582149\pi\)
0.988264 + 0.152757i \(0.0488152\pi\)
\(662\) 23.9850 + 10.6788i 0.932202 + 0.415043i
\(663\) 0.0507870 9.46789i 0.00197240 0.367702i
\(664\) 1.37962 + 6.49062i 0.0535398 + 0.251885i
\(665\) −2.40473 5.40110i −0.0932513 0.209446i
\(666\) 0.770984 + 8.17852i 0.0298750 + 0.316911i
\(667\) 2.41844 7.44320i 0.0936425 0.288202i
\(668\) 9.28210 4.13266i 0.359135 0.159897i
\(669\) 9.60727 + 21.8936i 0.371438 + 0.846455i
\(670\) 2.80317 + 0.595831i 0.108296 + 0.0230190i
\(671\) 3.61496 8.11934i 0.139554 0.313444i
\(672\) −5.14880 3.00960i −0.198619 0.116098i
\(673\) 13.3377 + 1.40184i 0.514129 + 0.0540371i 0.358041 0.933706i \(-0.383445\pi\)
0.156088 + 0.987743i \(0.450112\pi\)
\(674\) −3.82292 2.77751i −0.147253 0.106986i
\(675\) 3.41432 + 3.91694i 0.131417 + 0.150763i
\(676\) 5.96412 10.3302i 0.229389 0.397314i
\(677\) 0.542697 + 0.939979i 0.0208576 + 0.0361263i 0.876266 0.481828i \(-0.160027\pi\)
−0.855408 + 0.517954i \(0.826694\pi\)
\(678\) 22.7122 24.9540i 0.872257 0.958351i
\(679\) 13.3230 + 14.7967i 0.511291 + 0.567846i
\(680\) 1.63167 + 5.02177i 0.0625718 + 0.192576i
\(681\) 4.00339 + 19.3441i 0.153410 + 0.741268i
\(682\) −22.5434 13.1272i −0.863233 0.502668i
\(683\) 10.7091i 0.409773i −0.978786 0.204887i \(-0.934317\pi\)
0.978786 0.204887i \(-0.0656825\pi\)
\(684\) 3.40553 + 3.86482i 0.130214 + 0.147775i
\(685\) −11.7629 + 10.5913i −0.449436 + 0.404674i
\(686\) −4.33929 5.97252i −0.165675 0.228032i
\(687\) 8.94905 7.97126i 0.341428 0.304123i
\(688\) −0.287982 0.166267i −0.0109792 0.00633885i
\(689\) −12.0400 + 1.26545i −0.458686 + 0.0482098i
\(690\) 1.56138 + 0.705233i 0.0594409 + 0.0268477i
\(691\) 5.26306 50.0746i 0.200216 1.90493i −0.186047 0.982541i \(-0.559568\pi\)
0.386263 0.922389i \(-0.373766\pi\)
\(692\) 13.5434 + 12.1945i 0.514842 + 0.463566i
\(693\) 48.3958 + 0.519218i 1.83841 + 0.0197235i
\(694\) 2.81809 13.2581i 0.106973 0.503270i
\(695\) 15.6874 3.33446i 0.595056 0.126483i
\(696\) 7.99548 + 11.1299i 0.303068 + 0.421878i
\(697\) −40.0945 13.0275i −1.51869 0.493451i
\(698\) 11.1535 + 3.62398i 0.422165 + 0.137170i
\(699\) 8.69133 + 12.0985i 0.328736 + 0.457609i
\(700\) 3.36801 0.715892i 0.127299 0.0270582i
\(701\) −3.97108 + 18.6825i −0.149986 + 0.705627i 0.837309 + 0.546729i \(0.184127\pi\)
−0.987295 + 0.158898i \(0.949206\pi\)
\(702\) 5.27912 1.03362i 0.199247 0.0390113i
\(703\) −3.49407 3.14608i −0.131781 0.118657i
\(704\) −0.489754 + 4.65969i −0.0184583 + 0.175619i
\(705\) −8.94708 4.04114i −0.336966 0.152198i
\(706\) 11.8079 1.24106i 0.444395 0.0467078i
\(707\) −17.4386 10.0682i −0.655847 0.378653i
\(708\) −4.60363 + 4.10063i −0.173015 + 0.154111i
\(709\) 2.39721 + 3.29947i 0.0900290 + 0.123914i 0.851656 0.524102i \(-0.175599\pi\)
−0.761627 + 0.648016i \(0.775599\pi\)
\(710\) −7.85238 + 7.07032i −0.294695 + 0.265344i
\(711\) −26.1074 + 23.0049i −0.979105 + 0.862751i
\(712\) 9.09885i 0.340994i
\(713\) −2.73597 4.77971i −0.102463 0.179002i
\(714\) 6.38193 + 30.8370i 0.238838 + 1.15405i
\(715\) 1.49890 + 4.61315i 0.0560558 + 0.172522i
\(716\) −9.68528 10.7566i −0.361956 0.401993i
\(717\) −8.17017 + 8.97659i −0.305121 + 0.335237i
\(718\) −16.2848 28.2062i −0.607745 1.05264i
\(719\) 9.89179 17.1331i 0.368902 0.638956i −0.620493 0.784212i \(-0.713067\pi\)
0.989394 + 0.145256i \(0.0464006\pi\)
\(720\) −2.61402 + 1.47204i −0.0974187 + 0.0548598i
\(721\) −32.8944 23.8992i −1.22505 0.890053i
\(722\) 15.9638 + 1.67786i 0.594111 + 0.0624436i
\(723\) 25.7581 + 15.0562i 0.957953 + 0.559947i
\(724\) −2.97122 + 6.67347i −0.110425 + 0.248018i
\(725\) −7.73917 1.64501i −0.287425 0.0610942i
\(726\) −7.62292 17.3715i −0.282913 0.644718i
\(727\) −36.5797 + 16.2863i −1.35667 + 0.604027i −0.950772 0.309893i \(-0.899707\pi\)
−0.405895 + 0.913920i \(0.633040\pi\)
\(728\) 1.10154 3.39018i 0.0408257 0.125649i
\(729\) −21.3215 16.5649i −0.789684 0.613514i
\(730\) −1.87339 4.20771i −0.0693374 0.155734i
\(731\) 0.365060 + 1.71747i 0.0135022 + 0.0635230i
\(732\) −0.0176239 + 3.28550i −0.000651397 + 0.121436i
\(733\) 2.03775 + 0.907266i 0.0752661 + 0.0335106i 0.444024 0.896015i \(-0.353550\pi\)
−0.368758 + 0.929525i \(0.620217\pi\)
\(734\) 6.90190 7.66533i 0.254754 0.282933i
\(735\) 8.36930 0.834284i 0.308706 0.0307730i
\(736\) −0.581410 + 0.800242i −0.0214310 + 0.0294973i
\(737\) −1.40353 13.3537i −0.0516997 0.491890i
\(738\) 2.75911 23.7929i 0.101564 0.875830i
\(739\) 26.9167 15.5404i 0.990146 0.571661i 0.0848284 0.996396i \(-0.472966\pi\)
0.905318 + 0.424734i \(0.139632\pi\)
\(740\) 2.21530 1.60951i 0.0814360 0.0591667i
\(741\) −1.82306 + 2.48112i −0.0669716 + 0.0911463i
\(742\) 38.2946 12.4427i 1.40584 0.456785i
\(743\) −48.2816 −1.77128 −0.885639 0.464374i \(-0.846279\pi\)
−0.885639 + 0.464374i \(0.846279\pi\)
\(744\) 9.58128 + 1.09503i 0.351267 + 0.0401458i
\(745\) −23.6273 −0.865637
\(746\) −21.1457 + 6.87066i −0.774200 + 0.251553i
\(747\) 18.0979 + 8.29149i 0.662168 + 0.303370i
\(748\) 20.0148 14.5416i 0.731814 0.531694i
\(749\) 16.1667 9.33383i 0.590717 0.341051i
\(750\) 0.544062 1.64438i 0.0198663 0.0600444i
\(751\) 5.30266 + 50.4515i 0.193497 + 1.84100i 0.473250 + 0.880928i \(0.343081\pi\)
−0.279753 + 0.960072i \(0.590253\pi\)
\(752\) 3.33161 4.58556i 0.121491 0.167218i
\(753\) 1.79382 + 17.9950i 0.0653703 + 0.655776i
\(754\) −5.48086 + 6.08712i −0.199601 + 0.221680i
\(755\) −16.6204 7.39987i −0.604878 0.269309i
\(756\) −16.4598 + 7.01323i −0.598638 + 0.255069i
\(757\) 10.2228 + 48.0943i 0.371553 + 1.74802i 0.624959 + 0.780658i \(0.285116\pi\)
−0.253406 + 0.967360i \(0.581551\pi\)
\(758\) 3.64230 + 8.18074i 0.132294 + 0.297138i
\(759\) 0.881888 7.97867i 0.0320105 0.289607i
\(760\) 0.530599 1.63302i 0.0192468 0.0592357i
\(761\) 35.5096 15.8099i 1.28722 0.573108i 0.354956 0.934883i \(-0.384496\pi\)
0.932265 + 0.361775i \(0.117829\pi\)
\(762\) −6.29076 + 2.76049i −0.227890 + 0.100002i
\(763\) −47.4681 10.0897i −1.71846 0.365270i
\(764\) 8.82258 19.8158i 0.319190 0.716912i
\(765\) 15.0119 + 5.05636i 0.542758 + 0.182813i
\(766\) 3.28725 + 0.345504i 0.118773 + 0.0124835i
\(767\) −2.98116 2.16594i −0.107644 0.0782076i
\(768\) −0.526389 1.65013i −0.0189944 0.0595438i
\(769\) 4.97345 8.61426i 0.179347 0.310638i −0.762310 0.647212i \(-0.775935\pi\)
0.941657 + 0.336574i \(0.109268\pi\)
\(770\) −8.06643 13.9715i −0.290694 0.503497i
\(771\) 16.5676 + 15.0793i 0.596668 + 0.543066i
\(772\) −2.92241 3.24566i −0.105180 0.116814i
\(773\) 5.60124 + 17.2389i 0.201463 + 0.620039i 0.999840 + 0.0178811i \(0.00569205\pi\)