Properties

Label 252.2.ba.a.155.11
Level $252$
Weight $2$
Character 252.155
Analytic conductor $2.012$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 252.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.01223013094\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 155.11
Character \(\chi\) \(=\) 252.155
Dual form 252.2.ba.a.239.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.896785 + 1.09352i) q^{2} +(-1.24317 + 1.20604i) q^{3} +(-0.391553 - 1.96130i) q^{4} +(2.06874 - 1.19439i) q^{5} +(-0.203962 - 2.44098i) q^{6} +(-0.866025 - 0.500000i) q^{7} +(2.49585 + 1.33069i) q^{8} +(0.0909512 - 2.99862i) q^{9} +O(q^{10})\) \(q+(-0.896785 + 1.09352i) q^{2} +(-1.24317 + 1.20604i) q^{3} +(-0.391553 - 1.96130i) q^{4} +(2.06874 - 1.19439i) q^{5} +(-0.203962 - 2.44098i) q^{6} +(-0.866025 - 0.500000i) q^{7} +(2.49585 + 1.33069i) q^{8} +(0.0909512 - 2.99862i) q^{9} +(-0.549133 + 3.33330i) q^{10} +(3.21792 - 5.57360i) q^{11} +(2.85216 + 1.96600i) q^{12} +(2.15010 + 3.72408i) q^{13} +(1.32340 - 0.498620i) q^{14} +(-1.13132 + 3.97980i) q^{15} +(-3.69337 + 1.53590i) q^{16} -1.89547i q^{17} +(3.19748 + 2.78858i) q^{18} +0.529348i q^{19} +(-3.15256 - 3.58974i) q^{20} +(1.67964 - 0.422873i) q^{21} +(3.20904 + 8.51717i) q^{22} +(2.64942 + 4.58894i) q^{23} +(-4.70763 + 1.35580i) q^{24} +(0.353115 - 0.611613i) q^{25} +(-6.00052 - 0.988535i) q^{26} +(3.50338 + 3.83749i) q^{27} +(-0.641554 + 1.89431i) q^{28} +(-0.301871 - 0.174285i) q^{29} +(-3.33742 - 4.80614i) q^{30} +(5.09757 - 2.94308i) q^{31} +(1.63263 - 5.41614i) q^{32} +(2.72154 + 10.8099i) q^{33} +(2.07272 + 1.69983i) q^{34} -2.38877 q^{35} +(-5.91680 + 0.995736i) q^{36} +0.842466 q^{37} +(-0.578850 - 0.474711i) q^{38} +(-7.16433 - 2.03657i) q^{39} +(6.75261 - 0.228150i) q^{40} +(4.58530 - 2.64733i) q^{41} +(-1.04386 + 2.21593i) q^{42} +(-7.38095 - 4.26140i) q^{43} +(-12.1915 - 4.12894i) q^{44} +(-3.39336 - 6.31199i) q^{45} +(-7.39404 - 1.21810i) q^{46} +(2.04252 - 3.53774i) q^{47} +(2.73914 - 6.36373i) q^{48} +(0.500000 + 0.866025i) q^{49} +(0.352140 + 0.934622i) q^{50} +(2.28600 + 2.35639i) q^{51} +(6.46216 - 5.67516i) q^{52} -12.5979i q^{53} +(-7.33813 + 0.389594i) q^{54} -15.3738i q^{55} +(-1.49612 - 2.40034i) q^{56} +(-0.638413 - 0.658070i) q^{57} +(0.461297 - 0.173804i) q^{58} +(2.66171 + 4.61021i) q^{59} +(8.24854 + 0.660558i) q^{60} +(-3.49882 + 6.06013i) q^{61} +(-1.35312 + 8.21358i) q^{62} +(-1.57808 + 2.55141i) q^{63} +(4.45851 + 6.64242i) q^{64} +(8.89599 + 5.13610i) q^{65} +(-14.2614 - 6.71809i) q^{66} +(-9.32818 + 5.38563i) q^{67} +(-3.71758 + 0.742175i) q^{68} +(-8.82811 - 2.50953i) q^{69} +(2.14221 - 2.61216i) q^{70} +6.12137 q^{71} +(4.21725 - 7.36307i) q^{72} +5.07942 q^{73} +(-0.755511 + 0.921250i) q^{74} +(0.298645 + 1.18621i) q^{75} +(1.03821 - 0.207268i) q^{76} +(-5.57360 + 3.21792i) q^{77} +(8.65189 - 6.00793i) q^{78} +(-2.87851 - 1.66191i) q^{79} +(-5.80616 + 7.58869i) q^{80} +(-8.98346 - 0.545456i) q^{81} +(-1.21714 + 7.38818i) q^{82} +(-3.23597 + 5.60486i) q^{83} +(-1.48704 - 3.12869i) q^{84} +(-2.26392 - 3.92122i) q^{85} +(11.2790 - 4.24963i) q^{86} +(0.585472 - 0.147401i) q^{87} +(15.4482 - 9.62880i) q^{88} +14.4170i q^{89} +(9.94537 + 1.94981i) q^{90} -4.30020i q^{91} +(7.96288 - 6.99312i) q^{92} +(-2.78769 + 9.80661i) q^{93} +(2.03688 + 5.40612i) q^{94} +(0.632246 + 1.09508i) q^{95} +(4.50242 + 8.70220i) q^{96} +(-3.86625 + 6.69654i) q^{97} +(-1.39540 - 0.229881i) q^{98} +(-16.4205 - 10.1563i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 6 q^{6} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 6 q^{6} + 4 q^{9} - 12 q^{12} - 34 q^{18} - 42 q^{20} - 2 q^{24} + 36 q^{25} + 28 q^{30} + 30 q^{32} - 44 q^{33} - 12 q^{34} + 20 q^{36} - 12 q^{40} - 60 q^{41} + 20 q^{42} - 24 q^{45} - 24 q^{46} - 28 q^{48} + 36 q^{49} - 78 q^{50} - 18 q^{52} - 10 q^{54} - 4 q^{57} - 18 q^{58} - 76 q^{60} - 60 q^{64} + 24 q^{65} + 54 q^{66} + 78 q^{68} + 24 q^{69} + 74 q^{72} - 24 q^{73} + 12 q^{76} - 20 q^{78} - 4 q^{81} - 36 q^{82} + 14 q^{84} + 30 q^{86} + 24 q^{88} + 8 q^{90} - 114 q^{92} - 96 q^{93} + 42 q^{94} + 112 q^{96} - 12 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.896785 + 1.09352i −0.634123 + 0.773232i
\(3\) −1.24317 + 1.20604i −0.717745 + 0.696306i
\(4\) −0.391553 1.96130i −0.195776 0.980649i
\(5\) 2.06874 1.19439i 0.925167 0.534146i 0.0398874 0.999204i \(-0.487300\pi\)
0.885280 + 0.465059i \(0.153967\pi\)
\(6\) −0.203962 2.44098i −0.0832671 0.996527i
\(7\) −0.866025 0.500000i −0.327327 0.188982i
\(8\) 2.49585 + 1.33069i 0.882415 + 0.470471i
\(9\) 0.0909512 2.99862i 0.0303171 0.999540i
\(10\) −0.549133 + 3.33330i −0.173651 + 1.05408i
\(11\) 3.21792 5.57360i 0.970240 1.68050i 0.275416 0.961325i \(-0.411184\pi\)
0.694824 0.719180i \(-0.255482\pi\)
\(12\) 2.85216 + 1.96600i 0.823349 + 0.567536i
\(13\) 2.15010 + 3.72408i 0.596331 + 1.03288i 0.993358 + 0.115068i \(0.0367086\pi\)
−0.397027 + 0.917807i \(0.629958\pi\)
\(14\) 1.32340 0.498620i 0.353693 0.133262i
\(15\) −1.13132 + 3.97980i −0.292106 + 1.02758i
\(16\) −3.69337 + 1.53590i −0.923343 + 0.383976i
\(17\) 1.89547i 0.459718i −0.973224 0.229859i \(-0.926173\pi\)
0.973224 0.229859i \(-0.0738266\pi\)
\(18\) 3.19748 + 2.78858i 0.753652 + 0.657274i
\(19\) 0.529348i 0.121441i 0.998155 + 0.0607204i \(0.0193398\pi\)
−0.998155 + 0.0607204i \(0.980660\pi\)
\(20\) −3.15256 3.58974i −0.704935 0.802691i
\(21\) 1.67964 0.422873i 0.366527 0.0922784i
\(22\) 3.20904 + 8.51717i 0.684169 + 1.81587i
\(23\) 2.64942 + 4.58894i 0.552443 + 0.956859i 0.998098 + 0.0616543i \(0.0196376\pi\)
−0.445655 + 0.895205i \(0.647029\pi\)
\(24\) −4.70763 + 1.35580i −0.960941 + 0.276752i
\(25\) 0.353115 0.611613i 0.0706230 0.122323i
\(26\) −6.00052 0.988535i −1.17680 0.193868i
\(27\) 3.50338 + 3.83749i 0.674226 + 0.738525i
\(28\) −0.641554 + 1.89431i −0.121242 + 0.357991i
\(29\) −0.301871 0.174285i −0.0560561 0.0323640i 0.471710 0.881754i \(-0.343637\pi\)
−0.527766 + 0.849390i \(0.676970\pi\)
\(30\) −3.33742 4.80614i −0.609327 0.877478i
\(31\) 5.09757 2.94308i 0.915550 0.528593i 0.0333376 0.999444i \(-0.489386\pi\)
0.882213 + 0.470851i \(0.156053\pi\)
\(32\) 1.63263 5.41614i 0.288611 0.957446i
\(33\) 2.72154 + 10.8099i 0.473760 + 1.88176i
\(34\) 2.07272 + 1.69983i 0.355469 + 0.291518i
\(35\) −2.38877 −0.403776
\(36\) −5.91680 + 0.995736i −0.986133 + 0.165956i
\(37\) 0.842466 0.138501 0.0692503 0.997599i \(-0.477939\pi\)
0.0692503 + 0.997599i \(0.477939\pi\)
\(38\) −0.578850 0.474711i −0.0939019 0.0770084i
\(39\) −7.16433 2.03657i −1.14721 0.326113i
\(40\) 6.75261 0.228150i 1.06768 0.0360737i
\(41\) 4.58530 2.64733i 0.716104 0.413443i −0.0972131 0.995264i \(-0.530993\pi\)
0.813317 + 0.581821i \(0.197660\pi\)
\(42\) −1.04386 + 2.21593i −0.161070 + 0.341926i
\(43\) −7.38095 4.26140i −1.12559 0.649857i −0.182764 0.983157i \(-0.558504\pi\)
−0.942821 + 0.333300i \(0.891838\pi\)
\(44\) −12.1915 4.12894i −1.83793 0.622461i
\(45\) −3.39336 6.31199i −0.505852 0.940936i
\(46\) −7.39404 1.21810i −1.09019 0.179600i
\(47\) 2.04252 3.53774i 0.297932 0.516033i −0.677731 0.735310i \(-0.737037\pi\)
0.975663 + 0.219277i \(0.0703699\pi\)
\(48\) 2.73914 6.36373i 0.395361 0.918526i
\(49\) 0.500000 + 0.866025i 0.0714286 + 0.123718i
\(50\) 0.352140 + 0.934622i 0.0498001 + 0.132176i
\(51\) 2.28600 + 2.35639i 0.320105 + 0.329961i
\(52\) 6.46216 5.67516i 0.896140 0.787003i
\(53\) 12.5979i 1.73046i −0.501376 0.865230i \(-0.667173\pi\)
0.501376 0.865230i \(-0.332827\pi\)
\(54\) −7.33813 + 0.389594i −0.998594 + 0.0530171i
\(55\) 15.3738i 2.07300i
\(56\) −1.49612 2.40034i −0.199928 0.320759i
\(57\) −0.638413 0.658070i −0.0845599 0.0871635i
\(58\) 0.461297 0.173804i 0.0605713 0.0228216i
\(59\) 2.66171 + 4.61021i 0.346524 + 0.600198i 0.985630 0.168921i \(-0.0540284\pi\)
−0.639105 + 0.769119i \(0.720695\pi\)
\(60\) 8.24854 + 0.660558i 1.06488 + 0.0852776i
\(61\) −3.49882 + 6.06013i −0.447978 + 0.775920i −0.998254 0.0590625i \(-0.981189\pi\)
0.550277 + 0.834982i \(0.314522\pi\)
\(62\) −1.35312 + 8.21358i −0.171846 + 1.04313i
\(63\) −1.57808 + 2.55141i −0.198819 + 0.321447i
\(64\) 4.45851 + 6.64242i 0.557314 + 0.830302i
\(65\) 8.89599 + 5.13610i 1.10341 + 0.637055i
\(66\) −14.2614 6.71809i −1.75546 0.826940i
\(67\) −9.32818 + 5.38563i −1.13962 + 0.657959i −0.946336 0.323184i \(-0.895247\pi\)
−0.193282 + 0.981143i \(0.561913\pi\)
\(68\) −3.71758 + 0.742175i −0.450822 + 0.0900020i
\(69\) −8.82811 2.50953i −1.06278 0.302112i
\(70\) 2.14221 2.61216i 0.256044 0.312213i
\(71\) 6.12137 0.726473 0.363236 0.931697i \(-0.381672\pi\)
0.363236 + 0.931697i \(0.381672\pi\)
\(72\) 4.21725 7.36307i 0.497007 0.867746i
\(73\) 5.07942 0.594501 0.297251 0.954799i \(-0.403930\pi\)
0.297251 + 0.954799i \(0.403930\pi\)
\(74\) −0.755511 + 0.921250i −0.0878264 + 0.107093i
\(75\) 0.298645 + 1.18621i 0.0344846 + 0.136972i
\(76\) 1.03821 0.207268i 0.119091 0.0237752i
\(77\) −5.57360 + 3.21792i −0.635171 + 0.366716i
\(78\) 8.65189 6.00793i 0.979633 0.680264i
\(79\) −2.87851 1.66191i −0.323858 0.186979i 0.329253 0.944242i \(-0.393203\pi\)
−0.653111 + 0.757262i \(0.726536\pi\)
\(80\) −5.80616 + 7.58869i −0.649148 + 0.848441i
\(81\) −8.98346 0.545456i −0.998162 0.0606062i
\(82\) −1.21714 + 7.38818i −0.134411 + 0.815888i
\(83\) −3.23597 + 5.60486i −0.355193 + 0.615213i −0.987151 0.159790i \(-0.948918\pi\)
0.631958 + 0.775003i \(0.282252\pi\)
\(84\) −1.48704 3.12869i −0.162250 0.341368i
\(85\) −2.26392 3.92122i −0.245557 0.425317i
\(86\) 11.2790 4.24963i 1.21625 0.458250i
\(87\) 0.585472 0.147401i 0.0627692 0.0158030i
\(88\) 15.4482 9.62880i 1.64678 1.02643i
\(89\) 14.4170i 1.52820i 0.645099 + 0.764099i \(0.276816\pi\)
−0.645099 + 0.764099i \(0.723184\pi\)
\(90\) 9.94537 + 1.94981i 1.04833 + 0.205528i
\(91\) 4.30020i 0.450784i
\(92\) 7.96288 6.99312i 0.830187 0.729083i
\(93\) −2.78769 + 9.80661i −0.289070 + 1.01690i
\(94\) 2.03688 + 5.40612i 0.210088 + 0.557599i
\(95\) 0.632246 + 1.09508i 0.0648670 + 0.112353i
\(96\) 4.50242 + 8.70220i 0.459526 + 0.888164i
\(97\) −3.86625 + 6.69654i −0.392558 + 0.679931i −0.992786 0.119898i \(-0.961743\pi\)
0.600228 + 0.799829i \(0.295077\pi\)
\(98\) −1.39540 0.229881i −0.140957 0.0232215i
\(99\) −16.4205 10.1563i −1.65032 1.02074i
\(100\) −1.33782 0.453085i −0.133782 0.0453085i
\(101\) −14.7999 8.54473i −1.47265 0.850233i −0.473119 0.880998i \(-0.656872\pi\)
−0.999527 + 0.0307657i \(0.990205\pi\)
\(102\) −4.62681 + 0.386603i −0.458122 + 0.0382794i
\(103\) 10.0362 5.79440i 0.988896 0.570939i 0.0839517 0.996470i \(-0.473246\pi\)
0.904944 + 0.425531i \(0.139913\pi\)
\(104\) 0.410710 + 12.1559i 0.0402734 + 1.19198i
\(105\) 2.96965 2.88095i 0.289808 0.281152i
\(106\) 13.7760 + 11.2976i 1.33805 + 1.09732i
\(107\) −1.66184 −0.160656 −0.0803278 0.996768i \(-0.525597\pi\)
−0.0803278 + 0.996768i \(0.525597\pi\)
\(108\) 6.15470 8.37375i 0.592237 0.805764i
\(109\) −8.21513 −0.786867 −0.393434 0.919353i \(-0.628713\pi\)
−0.393434 + 0.919353i \(0.628713\pi\)
\(110\) 16.8114 + 13.7870i 1.60291 + 1.31454i
\(111\) −1.04733 + 1.01604i −0.0994082 + 0.0964387i
\(112\) 3.96651 + 0.516556i 0.374800 + 0.0488100i
\(113\) −7.87513 + 4.54671i −0.740830 + 0.427718i −0.822371 0.568952i \(-0.807349\pi\)
0.0815410 + 0.996670i \(0.474016\pi\)
\(114\) 1.29213 0.107967i 0.121019 0.0101120i
\(115\) 10.9619 + 6.32887i 1.02220 + 0.590170i
\(116\) −0.223627 + 0.660301i −0.0207632 + 0.0613074i
\(117\) 11.3627 6.10863i 1.05048 0.564743i
\(118\) −7.42831 1.22375i −0.683832 0.112655i
\(119\) −0.947734 + 1.64152i −0.0868786 + 0.150478i
\(120\) −8.11950 + 8.42753i −0.741205 + 0.769325i
\(121\) −15.2100 26.3446i −1.38273 2.39496i
\(122\) −3.48916 9.26064i −0.315893 0.838419i
\(123\) −2.50755 + 8.82112i −0.226098 + 0.795374i
\(124\) −7.76823 8.84548i −0.697607 0.794347i
\(125\) 10.2568i 0.917399i
\(126\) −1.37481 4.01371i −0.122478 0.357570i
\(127\) 17.0630i 1.51409i 0.653360 + 0.757047i \(0.273359\pi\)
−0.653360 + 0.757047i \(0.726641\pi\)
\(128\) −11.2619 1.08137i −0.995422 0.0955805i
\(129\) 14.3152 3.60406i 1.26038 0.317319i
\(130\) −13.5942 + 5.12192i −1.19229 + 0.449222i
\(131\) 5.58971 + 9.68166i 0.488375 + 0.845890i 0.999911 0.0133718i \(-0.00425652\pi\)
−0.511536 + 0.859262i \(0.670923\pi\)
\(132\) 20.1358 9.57039i 1.75259 0.832995i
\(133\) 0.264674 0.458429i 0.0229501 0.0397508i
\(134\) 2.47611 15.0303i 0.213903 1.29842i
\(135\) 11.8310 + 3.75437i 1.01825 + 0.323125i
\(136\) 2.52229 4.73080i 0.216284 0.405663i
\(137\) 4.30543 + 2.48574i 0.367838 + 0.212371i 0.672513 0.740085i \(-0.265215\pi\)
−0.304676 + 0.952456i \(0.598548\pi\)
\(138\) 10.6611 7.40317i 0.907536 0.630199i
\(139\) −7.46366 + 4.30915i −0.633060 + 0.365497i −0.781936 0.623359i \(-0.785768\pi\)
0.148876 + 0.988856i \(0.452434\pi\)
\(140\) 0.935330 + 4.68509i 0.0790498 + 0.395962i
\(141\) 1.72745 + 6.86137i 0.145477 + 0.577832i
\(142\) −5.48955 + 6.69381i −0.460673 + 0.561732i
\(143\) 27.6754 2.31434
\(144\) 4.26967 + 11.2147i 0.355806 + 0.934560i
\(145\) −0.832656 −0.0691483
\(146\) −4.55515 + 5.55443i −0.376987 + 0.459688i
\(147\) −1.66604 0.473600i −0.137413 0.0390619i
\(148\) −0.329870 1.65233i −0.0271151 0.135820i
\(149\) 2.18247 1.26005i 0.178795 0.103227i −0.407931 0.913013i \(-0.633750\pi\)
0.586727 + 0.809785i \(0.300416\pi\)
\(150\) −1.56496 0.737202i −0.127778 0.0601923i
\(151\) 0.331047 + 0.191130i 0.0269402 + 0.0155539i 0.513410 0.858144i \(-0.328382\pi\)
−0.486469 + 0.873698i \(0.661715\pi\)
\(152\) −0.704400 + 1.32117i −0.0571344 + 0.107161i
\(153\) −5.68379 0.172395i −0.459507 0.0139373i
\(154\) 1.47948 8.98061i 0.119220 0.723678i
\(155\) 7.03035 12.1769i 0.564691 0.978074i
\(156\) −1.18912 + 14.8488i −0.0952056 + 1.18886i
\(157\) 4.39885 + 7.61904i 0.351067 + 0.608065i 0.986437 0.164143i \(-0.0524857\pi\)
−0.635370 + 0.772208i \(0.719152\pi\)
\(158\) 4.39873 1.65732i 0.349944 0.131849i
\(159\) 15.1936 + 15.6614i 1.20493 + 1.24203i
\(160\) −3.09147 13.1545i −0.244402 1.03996i
\(161\) 5.29885i 0.417608i
\(162\) 8.65270 9.33439i 0.679820 0.733379i
\(163\) 10.7694i 0.843521i −0.906707 0.421760i \(-0.861412\pi\)
0.906707 0.421760i \(-0.138588\pi\)
\(164\) −6.98758 7.95657i −0.545638 0.621304i
\(165\) 18.5413 + 19.1122i 1.44344 + 1.48788i
\(166\) −3.22703 8.56493i −0.250466 0.664768i
\(167\) −3.92462 6.79765i −0.303697 0.526018i 0.673274 0.739393i \(-0.264888\pi\)
−0.976970 + 0.213375i \(0.931554\pi\)
\(168\) 4.75483 + 1.17966i 0.366843 + 0.0910124i
\(169\) −2.74587 + 4.75598i −0.211221 + 0.365845i
\(170\) 6.31817 + 1.04086i 0.484582 + 0.0798306i
\(171\) 1.58731 + 0.0481448i 0.121385 + 0.00368173i
\(172\) −5.46783 + 16.1448i −0.416918 + 1.23103i
\(173\) −16.5653 9.56396i −1.25943 0.727134i −0.286469 0.958089i \(-0.592482\pi\)
−0.972964 + 0.230955i \(0.925815\pi\)
\(174\) −0.363857 + 0.772410i −0.0275840 + 0.0585562i
\(175\) −0.611613 + 0.353115i −0.0462336 + 0.0266930i
\(176\) −3.32448 + 25.5278i −0.250592 + 1.92423i
\(177\) −8.86904 2.52117i −0.666638 0.189502i
\(178\) −15.7652 12.9289i −1.18165 0.969066i
\(179\) −26.1468 −1.95431 −0.977153 0.212538i \(-0.931827\pi\)
−0.977153 + 0.212538i \(0.931827\pi\)
\(180\) −11.0510 + 9.12686i −0.823693 + 0.680276i
\(181\) 18.9172 1.40610 0.703052 0.711139i \(-0.251820\pi\)
0.703052 + 0.711139i \(0.251820\pi\)
\(182\) 4.70234 + 3.85636i 0.348560 + 0.285852i
\(183\) −2.95911 11.7535i −0.218743 0.868842i
\(184\) 0.506090 + 14.9789i 0.0373095 + 1.10426i
\(185\) 1.74284 1.00623i 0.128136 0.0739795i
\(186\) −8.22373 11.8428i −0.602993 0.868356i
\(187\) −10.5646 6.09947i −0.772559 0.446037i
\(188\) −7.73832 2.62077i −0.564375 0.191139i
\(189\) −1.11527 5.07505i −0.0811239 0.369156i
\(190\) −1.76448 0.290682i −0.128009 0.0210883i
\(191\) 4.70709 8.15291i 0.340593 0.589924i −0.643950 0.765068i \(-0.722706\pi\)
0.984543 + 0.175143i \(0.0560389\pi\)
\(192\) −13.5537 2.88054i −0.978153 0.207885i
\(193\) −0.658744 1.14098i −0.0474174 0.0821294i 0.841343 0.540502i \(-0.181766\pi\)
−0.888760 + 0.458373i \(0.848432\pi\)
\(194\) −3.85558 10.2332i −0.276814 0.734699i
\(195\) −17.2536 + 4.34383i −1.23555 + 0.311068i
\(196\) 1.50276 1.31974i 0.107340 0.0942674i
\(197\) 3.56413i 0.253933i 0.991907 + 0.126967i \(0.0405241\pi\)
−0.991907 + 0.126967i \(0.959476\pi\)
\(198\) 25.8316 8.84804i 1.83577 0.628803i
\(199\) 15.9739i 1.13236i 0.824282 + 0.566179i \(0.191579\pi\)
−0.824282 + 0.566179i \(0.808421\pi\)
\(200\) 1.69519 1.05660i 0.119868 0.0747132i
\(201\) 5.10126 17.9454i 0.359815 1.26577i
\(202\) 22.6161 8.52114i 1.59127 0.599546i
\(203\) 0.174285 + 0.301871i 0.0122324 + 0.0211872i
\(204\) 3.72649 5.40618i 0.260907 0.378509i
\(205\) 6.32386 10.9532i 0.441677 0.765007i
\(206\) −2.66404 + 16.1711i −0.185613 + 1.12669i
\(207\) 14.0014 7.52725i 0.973168 0.523180i
\(208\) −13.6610 10.4521i −0.947217 0.724722i
\(209\) 2.95038 + 1.70340i 0.204082 + 0.117827i
\(210\) 0.487219 + 5.83095i 0.0336213 + 0.402374i
\(211\) −3.39401 + 1.95953i −0.233653 + 0.134900i −0.612256 0.790659i \(-0.709738\pi\)
0.378603 + 0.925559i \(0.376405\pi\)
\(212\) −24.7083 + 4.93275i −1.69697 + 0.338783i
\(213\) −7.60991 + 7.38259i −0.521423 + 0.505847i
\(214\) 1.49031 1.81724i 0.101875 0.124224i
\(215\) −20.3590 −1.38847
\(216\) 3.63738 + 14.2397i 0.247492 + 0.968890i
\(217\) −5.88617 −0.399579
\(218\) 7.36721 8.98338i 0.498970 0.608431i
\(219\) −6.31459 + 6.12597i −0.426701 + 0.413955i
\(220\) −30.1525 + 6.01964i −2.03288 + 0.405844i
\(221\) 7.05888 4.07545i 0.474832 0.274144i
\(222\) −0.171831 2.05645i −0.0115325 0.138020i
\(223\) 2.25600 + 1.30250i 0.151073 + 0.0872218i 0.573631 0.819114i \(-0.305534\pi\)
−0.422558 + 0.906336i \(0.638868\pi\)
\(224\) −4.12197 + 3.87420i −0.275410 + 0.258856i
\(225\) −1.80188 1.11448i −0.120125 0.0742990i
\(226\) 2.09040 12.6890i 0.139052 0.844060i
\(227\) 1.56505 2.71075i 0.103876 0.179919i −0.809402 0.587254i \(-0.800209\pi\)
0.913278 + 0.407336i \(0.133542\pi\)
\(228\) −1.04070 + 1.50979i −0.0689220 + 0.0999881i
\(229\) −3.33583 5.77783i −0.220438 0.381809i 0.734503 0.678605i \(-0.237415\pi\)
−0.954941 + 0.296796i \(0.904082\pi\)
\(230\) −16.7512 + 6.31140i −1.10454 + 0.416161i
\(231\) 3.04801 10.7224i 0.200545 0.705482i
\(232\) −0.521504 0.836688i −0.0342384 0.0549312i
\(233\) 15.0197i 0.983971i 0.870603 + 0.491985i \(0.163729\pi\)
−0.870603 + 0.491985i \(0.836271\pi\)
\(234\) −3.51000 + 17.9034i −0.229456 + 1.17038i
\(235\) 9.75821i 0.636556i
\(236\) 7.99979 7.02553i 0.520742 0.457323i
\(237\) 5.58281 1.40555i 0.362642 0.0913004i
\(238\) −0.945118 2.50846i −0.0612629 0.162599i
\(239\) −1.10101 1.90701i −0.0712185 0.123354i 0.828217 0.560407i \(-0.189355\pi\)
−0.899436 + 0.437053i \(0.856022\pi\)
\(240\) −1.93419 16.4365i −0.124851 1.06097i
\(241\) −9.28440 + 16.0811i −0.598061 + 1.03587i 0.395046 + 0.918661i \(0.370729\pi\)
−0.993107 + 0.117211i \(0.962605\pi\)
\(242\) 42.4483 + 6.99300i 2.72868 + 0.449527i
\(243\) 11.8258 10.1563i 0.758627 0.651526i
\(244\) 13.2557 + 4.48936i 0.848608 + 0.287402i
\(245\) 2.06874 + 1.19439i 0.132167 + 0.0763065i
\(246\) −7.39730 10.6527i −0.471635 0.679191i
\(247\) −1.97134 + 1.13815i −0.125433 + 0.0724188i
\(248\) 16.6391 0.562185i 1.05658 0.0356988i
\(249\) −2.73680 10.8705i −0.173438 0.688890i
\(250\) −11.2160 9.19818i −0.709363 0.581744i
\(251\) −6.18166 −0.390183 −0.195092 0.980785i \(-0.562500\pi\)
−0.195092 + 0.980785i \(0.562500\pi\)
\(252\) 5.62197 + 2.09607i 0.354151 + 0.132040i
\(253\) 34.1026 2.14401
\(254\) −18.6586 15.3018i −1.17075 0.960122i
\(255\) 7.54358 + 2.14438i 0.472397 + 0.134287i
\(256\) 11.2820 11.3453i 0.705126 0.709082i
\(257\) 6.98685 4.03386i 0.435828 0.251625i −0.265998 0.963973i \(-0.585702\pi\)
0.701826 + 0.712348i \(0.252368\pi\)
\(258\) −8.89656 + 18.8860i −0.553876 + 1.17579i
\(259\) −0.729597 0.421233i −0.0453350 0.0261741i
\(260\) 6.59017 19.4587i 0.408705 1.20678i
\(261\) −0.550071 + 0.889346i −0.0340486 + 0.0550491i
\(262\) −15.5998 2.56993i −0.963759 0.158771i
\(263\) 0.0757144 0.131141i 0.00466875 0.00808651i −0.863682 0.504038i \(-0.831847\pi\)
0.868350 + 0.495951i \(0.165181\pi\)
\(264\) −7.59208 + 30.6013i −0.467260 + 1.88338i
\(265\) −15.0468 26.0618i −0.924317 1.60096i
\(266\) 0.263943 + 0.700537i 0.0161834 + 0.0429527i
\(267\) −17.3874 17.9228i −1.06409 1.09686i
\(268\) 14.2153 + 16.1866i 0.868337 + 0.988752i
\(269\) 2.18065i 0.132957i −0.997788 0.0664784i \(-0.978824\pi\)
0.997788 0.0664784i \(-0.0211763\pi\)
\(270\) −14.7153 + 9.57053i −0.895547 + 0.582444i
\(271\) 3.08448i 0.187369i −0.995602 0.0936844i \(-0.970136\pi\)
0.995602 0.0936844i \(-0.0298645\pi\)
\(272\) 2.91125 + 7.00067i 0.176521 + 0.424478i
\(273\) 5.18620 + 5.34589i 0.313883 + 0.323548i
\(274\) −6.57924 + 2.47888i −0.397467 + 0.149755i
\(275\) −2.27259 3.93624i −0.137042 0.237364i
\(276\) −1.46527 + 18.2972i −0.0881989 + 1.10136i
\(277\) −8.31095 + 14.3950i −0.499357 + 0.864911i −1.00000 0.000742657i \(-0.999764\pi\)
0.500643 + 0.865654i \(0.333097\pi\)
\(278\) 1.98118 12.0260i 0.118823 0.721272i
\(279\) −8.36156 15.5534i −0.500593 0.931155i
\(280\) −5.96201 3.17872i −0.356298 0.189965i
\(281\) 8.93878 + 5.16081i 0.533243 + 0.307868i 0.742336 0.670028i \(-0.233718\pi\)
−0.209093 + 0.977896i \(0.567051\pi\)
\(282\) −9.05217 4.26418i −0.539049 0.253928i
\(283\) −12.3659 + 7.13943i −0.735074 + 0.424395i −0.820275 0.571969i \(-0.806180\pi\)
0.0852016 + 0.996364i \(0.472847\pi\)
\(284\) −2.39684 12.0058i −0.142226 0.712415i
\(285\) −2.10670 0.598863i −0.124790 0.0354736i
\(286\) −24.8189 + 30.2635i −1.46757 + 1.78952i
\(287\) −5.29465 −0.312533
\(288\) −16.0924 5.38824i −0.948257 0.317505i
\(289\) 13.4072 0.788659
\(290\) 0.746713 0.910522i 0.0438485 0.0534677i
\(291\) −3.26986 12.9878i −0.191683 0.761358i
\(292\) −1.98886 9.96226i −0.116389 0.582997i
\(293\) −2.10270 + 1.21399i −0.122841 + 0.0709223i −0.560161 0.828383i \(-0.689261\pi\)
0.437320 + 0.899306i \(0.355928\pi\)
\(294\) 2.01197 1.39713i 0.117341 0.0814822i
\(295\) 11.0127 + 6.35821i 0.641186 + 0.370189i
\(296\) 2.10267 + 1.12106i 0.122215 + 0.0651605i
\(297\) 32.6623 7.17770i 1.89526 0.416492i
\(298\) −0.579324 + 3.51657i −0.0335593 + 0.203709i
\(299\) −11.3931 + 19.7334i −0.658877 + 1.14121i
\(300\) 2.20957 1.05020i 0.127570 0.0606330i
\(301\) 4.26140 + 7.38095i 0.245623 + 0.425431i
\(302\) −0.505882 + 0.190602i −0.0291102 + 0.0109679i
\(303\) 28.7041 7.22667i 1.64901 0.415161i
\(304\) −0.813027 1.95508i −0.0466303 0.112131i
\(305\) 16.7157i 0.957141i
\(306\) 5.28566 6.06071i 0.302161 0.346468i
\(307\) 8.87237i 0.506373i 0.967417 + 0.253187i \(0.0814787\pi\)
−0.967417 + 0.253187i \(0.918521\pi\)
\(308\) 8.49366 + 9.67151i 0.483971 + 0.551085i
\(309\) −5.48845 + 19.3075i −0.312227 + 1.09836i
\(310\) 7.01094 + 18.6079i 0.398195 + 1.05686i
\(311\) −3.03771 5.26147i −0.172253 0.298350i 0.766954 0.641702i \(-0.221771\pi\)
−0.939207 + 0.343351i \(0.888438\pi\)
\(312\) −15.1710 14.6165i −0.858889 0.827496i
\(313\) −10.3245 + 17.8825i −0.583575 + 1.01078i 0.411477 + 0.911420i \(0.365013\pi\)
−0.995051 + 0.0993607i \(0.968320\pi\)
\(314\) −12.2764 2.02242i −0.692795 0.114132i
\(315\) −0.217262 + 7.16302i −0.0122413 + 0.403590i
\(316\) −2.13241 + 6.29634i −0.119957 + 0.354197i
\(317\) 21.2581 + 12.2734i 1.19397 + 0.689341i 0.959205 0.282710i \(-0.0912334\pi\)
0.234769 + 0.972051i \(0.424567\pi\)
\(318\) −30.7513 + 2.56950i −1.72445 + 0.144090i
\(319\) −1.94280 + 1.12167i −0.108776 + 0.0628017i
\(320\) 17.1571 + 8.41623i 0.959111 + 0.470482i
\(321\) 2.06595 2.00423i 0.115310 0.111865i
\(322\) 5.79437 + 4.75193i 0.322908 + 0.264815i
\(323\) 1.00336 0.0558286
\(324\) 2.44769 + 17.8328i 0.135983 + 0.990711i
\(325\) 3.03693 0.168459
\(326\) 11.7765 + 9.65780i 0.652238 + 0.534896i
\(327\) 10.2128 9.90775i 0.564770 0.547900i
\(328\) 14.9670 0.505690i 0.826414 0.0279220i
\(329\) −3.53774 + 2.04252i −0.195042 + 0.112608i
\(330\) −37.5271 + 3.13566i −2.06580 + 0.172613i
\(331\) 25.9866 + 15.0034i 1.42835 + 0.824660i 0.996991 0.0775195i \(-0.0247000\pi\)
0.431362 + 0.902179i \(0.358033\pi\)
\(332\) 12.2598 + 4.15210i 0.672846 + 0.227876i
\(333\) 0.0766233 2.52624i 0.00419893 0.138437i
\(334\) 10.9529 + 1.80439i 0.599315 + 0.0987320i
\(335\) −12.8650 + 22.2829i −0.702892 + 1.21744i
\(336\) −5.55403 + 4.14158i −0.302997 + 0.225942i
\(337\) −5.27401 9.13486i −0.287294 0.497608i 0.685869 0.727725i \(-0.259422\pi\)
−0.973163 + 0.230117i \(0.926089\pi\)
\(338\) −2.73829 7.26774i −0.148943 0.395313i
\(339\) 4.30664 15.1500i 0.233905 0.822837i
\(340\) −6.80424 + 5.97559i −0.369012 + 0.324072i
\(341\) 37.8824i 2.05145i
\(342\) −1.47613 + 1.69258i −0.0798198 + 0.0915241i
\(343\) 1.00000i 0.0539949i
\(344\) −12.7511 20.4576i −0.687495 1.10300i
\(345\) −21.2604 + 5.35261i −1.14462 + 0.288175i
\(346\) 25.3138 9.53756i 1.36088 0.512742i
\(347\) 4.55660 + 7.89227i 0.244611 + 0.423679i 0.962022 0.272971i \(-0.0880063\pi\)
−0.717411 + 0.696650i \(0.754673\pi\)
\(348\) −0.518340 1.09057i −0.0277860 0.0584607i
\(349\) 11.2978 19.5684i 0.604760 1.04747i −0.387330 0.921941i \(-0.626602\pi\)
0.992089 0.125533i \(-0.0400642\pi\)
\(350\) 0.162349 0.985476i 0.00867791 0.0526759i
\(351\) −6.75852 + 21.2979i −0.360743 + 1.13680i
\(352\) −24.9337 26.5283i −1.32897 1.41396i
\(353\) −5.76564 3.32879i −0.306874 0.177174i 0.338653 0.940911i \(-0.390029\pi\)
−0.645527 + 0.763738i \(0.723362\pi\)
\(354\) 10.7106 7.43748i 0.569260 0.395298i
\(355\) 12.6635 7.31128i 0.672109 0.388042i
\(356\) 28.2760 5.64501i 1.49863 0.299185i
\(357\) −0.801541 3.18370i −0.0424221 0.168499i
\(358\) 23.4481 28.5920i 1.23927 1.51113i
\(359\) −8.03334 −0.423984 −0.211992 0.977271i \(-0.567995\pi\)
−0.211992 + 0.977271i \(0.567995\pi\)
\(360\) −0.0699785 20.2693i −0.00368819 1.06828i
\(361\) 18.7198 0.985252
\(362\) −16.9647 + 20.6862i −0.891643 + 1.08724i
\(363\) 50.6812 + 14.4069i 2.66007 + 0.756169i
\(364\) −8.43397 + 1.68376i −0.442060 + 0.0882528i
\(365\) 10.5080 6.06679i 0.550013 0.317550i
\(366\) 15.5063 + 7.30452i 0.810527 + 0.381813i
\(367\) 14.9220 + 8.61523i 0.778923 + 0.449712i 0.836049 0.548656i \(-0.184860\pi\)
−0.0571254 + 0.998367i \(0.518193\pi\)
\(368\) −16.8335 12.8794i −0.877505 0.671385i
\(369\) −7.52129 13.9904i −0.391543 0.728309i
\(370\) −0.462626 + 2.80820i −0.0240508 + 0.145991i
\(371\) −6.29897 + 10.9101i −0.327026 + 0.566426i
\(372\) 20.3252 + 1.62768i 1.05381 + 0.0843912i
\(373\) −0.260742 0.451618i −0.0135007 0.0233839i 0.859196 0.511646i \(-0.170964\pi\)
−0.872697 + 0.488262i \(0.837631\pi\)
\(374\) 16.1440 6.08263i 0.834788 0.314525i
\(375\) −12.3701 12.7510i −0.638790 0.658459i
\(376\) 9.80546 6.11170i 0.505678 0.315187i
\(377\) 1.49892i 0.0771985i
\(378\) 6.54981 + 3.33167i 0.336886 + 0.171363i
\(379\) 22.8440i 1.17342i 0.809797 + 0.586710i \(0.199577\pi\)
−0.809797 + 0.586710i \(0.800423\pi\)
\(380\) 1.90022 1.66880i 0.0974794 0.0856078i
\(381\) −20.5786 21.2122i −1.05427 1.08673i
\(382\) 4.69409 + 12.4587i 0.240171 + 0.637442i
\(383\) −12.4781 21.6128i −0.637603 1.10436i −0.985957 0.166998i \(-0.946593\pi\)
0.348354 0.937363i \(-0.386741\pi\)
\(384\) 15.3047 12.2379i 0.781013 0.624515i
\(385\) −7.68688 + 13.3141i −0.391760 + 0.678548i
\(386\) 1.83843 + 0.302865i 0.0935736 + 0.0154154i
\(387\) −13.4496 + 21.7451i −0.683683 + 1.10537i
\(388\) 14.6478 + 4.96082i 0.743627 + 0.251847i
\(389\) −22.0002 12.7018i −1.11545 0.644007i −0.175216 0.984530i \(-0.556062\pi\)
−0.940236 + 0.340523i \(0.889396\pi\)
\(390\) 10.7227 22.7625i 0.542965 1.15263i
\(391\) 8.69818 5.02190i 0.439886 0.253968i
\(392\) 0.0955095 + 2.82681i 0.00482396 + 0.142776i
\(393\) −18.6254 5.29457i −0.939527 0.267076i
\(394\) −3.89743 3.19626i −0.196350 0.161025i
\(395\) −7.93985 −0.399497
\(396\) −13.4900 + 36.1821i −0.677896 + 1.81822i
\(397\) 5.32969 0.267489 0.133745 0.991016i \(-0.457300\pi\)
0.133745 + 0.991016i \(0.457300\pi\)
\(398\) −17.4677 14.3251i −0.875576 0.718054i
\(399\) 0.223847 + 0.889112i 0.0112064 + 0.0445113i
\(400\) −0.364807 + 2.80126i −0.0182404 + 0.140063i
\(401\) 20.2109 11.6688i 1.00928 0.582710i 0.0983016 0.995157i \(-0.468659\pi\)
0.910982 + 0.412447i \(0.135326\pi\)
\(402\) 15.0488 + 21.6715i 0.750567 + 1.08087i
\(403\) 21.9206 + 12.6558i 1.09194 + 0.630433i
\(404\) −10.9638 + 32.3727i −0.545470 + 1.61060i
\(405\) −19.2359 + 9.60131i −0.955839 + 0.477093i
\(406\) −0.486397 0.0801298i −0.0241395 0.00397677i
\(407\) 2.71099 4.69557i 0.134379 0.232751i
\(408\) 2.56988 + 8.92317i 0.127228 + 0.441762i
\(409\) 15.5599 + 26.9506i 0.769389 + 1.33262i 0.937895 + 0.346920i \(0.112772\pi\)
−0.168506 + 0.985701i \(0.553894\pi\)
\(410\) 6.30640 + 16.7379i 0.311451 + 0.826628i
\(411\) −8.35028 + 2.10230i −0.411889 + 0.103699i
\(412\) −15.2942 17.4151i −0.753493 0.857983i
\(413\) 5.32341i 0.261948i
\(414\) −4.32513 + 22.0611i −0.212568 + 1.08425i
\(415\) 15.4600i 0.758900i
\(416\) 23.6805 5.56519i 1.16103 0.272856i
\(417\) 4.08162 14.3585i 0.199878 0.703137i
\(418\) −4.50855 + 1.69870i −0.220520 + 0.0830860i
\(419\) −13.4133 23.2325i −0.655283 1.13498i −0.981823 0.189800i \(-0.939216\pi\)
0.326540 0.945183i \(-0.394117\pi\)
\(420\) −6.81317 4.69633i −0.332448 0.229157i
\(421\) 4.00100 6.92994i 0.194997 0.337744i −0.751903 0.659274i \(-0.770864\pi\)
0.946899 + 0.321530i \(0.104197\pi\)
\(422\) 0.900918 5.46868i 0.0438560 0.266211i
\(423\) −10.4226 6.44649i −0.506763 0.313439i
\(424\) 16.7640 31.4425i 0.814131 1.52698i
\(425\) −1.15929 0.669318i −0.0562339 0.0324667i
\(426\) −1.24853 14.9422i −0.0604913 0.723950i
\(427\) 6.06013 3.49882i 0.293270 0.169320i
\(428\) 0.650696 + 3.25935i 0.0314526 + 0.157547i
\(429\) −34.4053 + 33.3776i −1.66110 + 1.61148i
\(430\) 18.2577 22.2629i 0.880462 1.07361i
\(431\) 23.2635 1.12056 0.560282 0.828302i \(-0.310693\pi\)
0.560282 + 0.828302i \(0.310693\pi\)
\(432\) −18.8333 8.79244i −0.906117 0.423026i
\(433\) −40.4077 −1.94187 −0.970936 0.239340i \(-0.923069\pi\)
−0.970936 + 0.239340i \(0.923069\pi\)
\(434\) 5.27863 6.43661i 0.253382 0.308967i
\(435\) 1.03513 1.00421i 0.0496309 0.0481484i
\(436\) 3.21666 + 16.1123i 0.154050 + 0.771640i
\(437\) −2.42914 + 1.40247i −0.116202 + 0.0670891i
\(438\) −1.03601 12.3988i −0.0495024 0.592437i
\(439\) −4.54218 2.62243i −0.216786 0.125162i 0.387675 0.921796i \(-0.373278\pi\)
−0.604461 + 0.796634i \(0.706612\pi\)
\(440\) 20.4578 38.3706i 0.975286 1.82924i
\(441\) 2.64236 1.42054i 0.125827 0.0676450i
\(442\) −1.87374 + 11.3738i −0.0891245 + 0.540996i
\(443\) −4.84903 + 8.39876i −0.230384 + 0.399037i −0.957921 0.287031i \(-0.907332\pi\)
0.727537 + 0.686068i \(0.240665\pi\)
\(444\) 2.40285 + 1.65629i 0.114034 + 0.0786040i
\(445\) 17.2195 + 29.8250i 0.816280 + 1.41384i
\(446\) −3.44745 + 1.29890i −0.163241 + 0.0615049i
\(447\) −1.19352 + 4.19861i −0.0564516 + 0.198587i
\(448\) −0.539975 7.98176i −0.0255114 0.377103i
\(449\) 38.7800i 1.83014i −0.403294 0.915071i \(-0.632135\pi\)
0.403294 0.915071i \(-0.367865\pi\)
\(450\) 2.83460 0.970929i 0.133625 0.0457701i
\(451\) 34.0755i 1.60455i
\(452\) 12.0010 + 13.6652i 0.564478 + 0.642757i
\(453\) −0.642058 + 0.161647i −0.0301665 + 0.00759485i
\(454\) 1.56073 + 4.14237i 0.0732487 + 0.194411i
\(455\) −5.13610 8.89599i −0.240784 0.417050i
\(456\) −0.717692 2.49198i −0.0336090 0.116697i
\(457\) 11.3244 19.6145i 0.529735 0.917528i −0.469663 0.882846i \(-0.655625\pi\)
0.999398 0.0346824i \(-0.0110420\pi\)
\(458\) 9.30966 + 1.53369i 0.435012 + 0.0716645i
\(459\) 7.27384 6.64054i 0.339514 0.309954i
\(460\) 8.12062 23.9777i 0.378626 1.11796i
\(461\) 32.0052 + 18.4782i 1.49063 + 0.860617i 0.999943 0.0107183i \(-0.00341180\pi\)
0.490689 + 0.871335i \(0.336745\pi\)
\(462\) 8.99170 + 12.9487i 0.418332 + 0.602430i
\(463\) −8.93748 + 5.16006i −0.415360 + 0.239808i −0.693090 0.720851i \(-0.743751\pi\)
0.277730 + 0.960659i \(0.410418\pi\)
\(464\) 1.38261 + 0.180056i 0.0641860 + 0.00835891i
\(465\) 5.94589 + 23.6169i 0.275734 + 1.09521i
\(466\) −16.4242 13.4694i −0.760838 0.623958i
\(467\) 0.900019 0.0416479 0.0208239 0.999783i \(-0.493371\pi\)
0.0208239 + 0.999783i \(0.493371\pi\)
\(468\) −16.4299 19.8937i −0.759473 0.919588i
\(469\) 10.7713 0.497370
\(470\) 10.6708 + 8.75102i 0.492205 + 0.403654i
\(471\) −14.6574 4.16659i −0.675376 0.191986i
\(472\) 0.508436 + 15.0483i 0.0234027 + 0.692654i
\(473\) −47.5027 + 27.4257i −2.18418 + 1.26103i
\(474\) −3.46959 + 7.36537i −0.159363 + 0.338303i
\(475\) 0.323756 + 0.186921i 0.0148549 + 0.00857651i
\(476\) 3.59060 + 1.21605i 0.164575 + 0.0557373i
\(477\) −37.7764 1.14580i −1.72966 0.0524624i
\(478\) 3.07271 + 0.506203i 0.140543 + 0.0231532i
\(479\) −15.9460 + 27.6192i −0.728590 + 1.26195i 0.228889 + 0.973452i \(0.426491\pi\)
−0.957479 + 0.288502i \(0.906843\pi\)
\(480\) 19.7081 + 12.6249i 0.899548 + 0.576247i
\(481\) 1.81139 + 3.13741i 0.0825921 + 0.143054i
\(482\) −9.25877 24.5739i −0.421725 1.11931i
\(483\) 6.39060 + 6.58738i 0.290783 + 0.299736i
\(484\) −45.7140 + 40.1467i −2.07791 + 1.82485i
\(485\) 18.4712i 0.838733i
\(486\) 0.500834 + 22.0397i 0.0227183 + 0.999742i
\(487\) 7.65522i 0.346891i 0.984843 + 0.173446i \(0.0554901\pi\)
−0.984843 + 0.173446i \(0.944510\pi\)
\(488\) −16.7967 + 10.4693i −0.760350 + 0.473923i
\(489\) 12.9882 + 13.3882i 0.587348 + 0.605433i
\(490\) −3.16129 + 1.19109i −0.142813 + 0.0538079i
\(491\) −1.59570 2.76383i −0.0720128 0.124730i 0.827771 0.561067i \(-0.189609\pi\)
−0.899783 + 0.436337i \(0.856276\pi\)
\(492\) 18.2827 + 1.46411i 0.824247 + 0.0660071i
\(493\) −0.330352 + 0.572187i −0.0148783 + 0.0257700i
\(494\) 0.523279 3.17636i 0.0235434 0.142911i
\(495\) −46.1001 1.39826i −2.07204 0.0628472i
\(496\) −14.3069 + 18.6993i −0.642400 + 0.839622i
\(497\) −5.30126 3.06068i −0.237794 0.137290i
\(498\) 14.3414 + 6.75576i 0.642653 + 0.302733i
\(499\) 9.07585 5.23995i 0.406291 0.234572i −0.282904 0.959148i \(-0.591298\pi\)
0.689195 + 0.724576i \(0.257964\pi\)
\(500\) 20.1167 4.01609i 0.899646 0.179605i
\(501\) 13.0772 + 3.71740i 0.584246 + 0.166081i
\(502\) 5.54362 6.75975i 0.247424 0.301702i
\(503\) 12.6421 0.563685 0.281843 0.959461i \(-0.409054\pi\)
0.281843 + 0.959461i \(0.409054\pi\)
\(504\) −7.33378 + 4.26799i −0.326672 + 0.190111i
\(505\) −40.8228 −1.81659
\(506\) −30.5827 + 37.2917i −1.35957 + 1.65782i
\(507\) −2.32230 9.22412i −0.103137 0.409658i
\(508\) 33.4656 6.68106i 1.48479 0.296424i
\(509\) −23.8125 + 13.7481i −1.05547 + 0.609376i −0.924176 0.381968i \(-0.875247\pi\)
−0.131294 + 0.991343i \(0.541913\pi\)
\(510\) −9.10989 + 6.32597i −0.403393 + 0.280119i
\(511\) −4.39891 2.53971i −0.194596 0.112350i
\(512\) 2.28874 + 22.5114i 0.101149 + 0.994871i
\(513\) −2.03137 + 1.85451i −0.0896871 + 0.0818785i
\(514\) −1.85462 + 11.2577i −0.0818036 + 0.496558i
\(515\) 13.8415 23.9742i 0.609929 1.05643i
\(516\) −12.6738 26.6652i −0.557932 1.17387i
\(517\) −13.1453 22.7684i −0.578130 1.00135i
\(518\) 1.11492 0.420070i 0.0489866 0.0184568i
\(519\) 32.1280 8.08867i 1.41026 0.355053i
\(520\) 15.3685 + 24.6568i 0.673951 + 1.08127i
\(521\) 16.7533i 0.733975i 0.930226 + 0.366988i \(0.119611\pi\)
−0.930226 + 0.366988i \(0.880389\pi\)
\(522\) −0.479217 1.39906i −0.0209748 0.0612353i
\(523\) 39.1120i 1.71025i 0.518424 + 0.855124i \(0.326519\pi\)
−0.518424 + 0.855124i \(0.673481\pi\)
\(524\) 16.7999 14.7540i 0.733909 0.644529i
\(525\) 0.334470 1.17661i 0.0145975 0.0513515i
\(526\) 0.0755054 + 0.200400i 0.00329219 + 0.00873787i
\(527\) −5.57852 9.66228i −0.243004 0.420895i
\(528\) −26.6546 35.7449i −1.15999 1.55560i
\(529\) −2.53889 + 4.39749i −0.110387 + 0.191195i
\(530\) 41.9927 + 6.91794i 1.82405 + 0.300496i
\(531\) 14.0664 7.56214i 0.610428 0.328169i
\(532\) −1.00275 0.339605i −0.0434747 0.0147238i
\(533\) 19.7177 + 11.3840i 0.854069 + 0.493097i
\(534\) 35.1916 2.94052i 1.52289 0.127249i
\(535\) −3.43790 + 1.98487i −0.148633 + 0.0858135i
\(536\) −30.4483 + 1.02876i −1.31517 + 0.0444355i
\(537\) 32.5050 31.5340i 1.40269 1.36079i
\(538\) 2.38458 + 1.95558i 0.102806 + 0.0843109i
\(539\) 6.43584 0.277211
\(540\) 2.73098 24.6742i 0.117523 1.06181i
\(541\) −11.1182 −0.478010 −0.239005 0.971018i \(-0.576821\pi\)
−0.239005 + 0.971018i \(0.576821\pi\)
\(542\) 3.37293 + 2.76612i 0.144880 + 0.118815i
\(543\) −23.5173 + 22.8148i −1.00922 + 0.979078i
\(544\) −10.2661 3.09460i −0.440156 0.132680i
\(545\) −16.9950 + 9.81204i −0.727984 + 0.420302i
\(546\) −10.4967 + 0.877078i −0.449218 + 0.0375355i
\(547\) −24.1315 13.9323i −1.03179 0.595703i −0.114291 0.993447i \(-0.536460\pi\)
−0.917496 + 0.397745i \(0.869793\pi\)
\(548\) 3.18948 9.41753i 0.136248 0.402297i
\(549\) 17.8538 + 11.0428i 0.761982 + 0.471295i
\(550\) 6.34237 + 1.04485i 0.270440 + 0.0445526i
\(551\) 0.0922576 0.159795i 0.00393031 0.00680749i
\(552\) −18.6942 18.0109i −0.795678 0.766596i
\(553\) 1.66191 + 2.87851i 0.0706716 + 0.122407i
\(554\) −8.28801 21.9974i −0.352124 0.934579i
\(555\) −0.953100 + 3.35285i −0.0404569 + 0.142320i
\(556\) 11.3739 + 12.9512i 0.482362 + 0.549253i
\(557\) 23.5098i 0.996142i −0.867136 0.498071i \(-0.834042\pi\)
0.867136 0.498071i \(-0.165958\pi\)
\(558\) 24.5064 + 4.80452i 1.03744 + 0.203392i
\(559\) 36.6497i 1.55012i
\(560\) 8.82262 3.66892i 0.372824 0.155040i
\(561\) 20.4898 5.15860i 0.865079 0.217796i
\(562\) −13.6596 + 5.14656i −0.576195 + 0.217094i
\(563\) −16.5569 28.6774i −0.697790 1.20861i −0.969231 0.246152i \(-0.920834\pi\)
0.271442 0.962455i \(-0.412500\pi\)
\(564\) 12.7808 6.07463i 0.538169 0.255788i
\(565\) −10.8610 + 18.8119i −0.456928 + 0.791422i
\(566\) 3.28244 19.9248i 0.137971 0.837501i
\(567\) 7.50717 + 4.96411i 0.315272 + 0.208473i
\(568\) 15.2780 + 8.14566i 0.641051 + 0.341784i
\(569\) 16.2900 + 9.40502i 0.682911 + 0.394279i 0.800951 0.598730i \(-0.204328\pi\)
−0.118040 + 0.993009i \(0.537661\pi\)
\(570\) 2.54412 1.76666i 0.106562 0.0739971i
\(571\) −18.0636 + 10.4290i −0.755937 + 0.436440i −0.827835 0.560972i \(-0.810428\pi\)
0.0718982 + 0.997412i \(0.477094\pi\)
\(572\) −10.8364 54.2797i −0.453092 2.26955i
\(573\) 3.98100 + 15.8124i 0.166309 + 0.660572i
\(574\) 4.74816 5.78978i 0.198185 0.241661i
\(575\) 3.74220 0.156061
\(576\) 20.3236 12.7652i 0.846816 0.531885i
\(577\) −34.3394 −1.42957 −0.714783 0.699346i \(-0.753475\pi\)
−0.714783 + 0.699346i \(0.753475\pi\)
\(578\) −12.0234 + 14.6610i −0.500107 + 0.609817i
\(579\) 2.19499 + 0.623962i 0.0912208 + 0.0259310i
\(580\) 0.326029 + 1.63309i 0.0135376 + 0.0678102i
\(581\) 5.60486 3.23597i 0.232529 0.134251i
\(582\) 17.1347 + 8.07161i 0.710257 + 0.334579i
\(583\) −70.2159 40.5392i −2.90805 1.67896i
\(584\) 12.6775 + 6.75915i 0.524597 + 0.279696i
\(585\) 16.2103 26.2086i 0.670214 1.08359i
\(586\) 0.558148 3.38803i 0.0230569 0.139958i
\(587\) 18.1996 31.5226i 0.751177 1.30108i −0.196076 0.980589i \(-0.562820\pi\)
0.947253 0.320487i \(-0.103847\pi\)
\(588\) −0.276526 + 3.45305i −0.0114037 + 0.142401i
\(589\) 1.55791 + 2.69839i 0.0641928 + 0.111185i
\(590\) −16.8289 + 6.34065i −0.692833 + 0.261041i
\(591\) −4.29847 4.43082i −0.176815 0.182260i
\(592\) −3.11154 + 1.29395i −0.127884 + 0.0531808i
\(593\) 2.74882i 0.112880i 0.998406 + 0.0564402i \(0.0179750\pi\)
−0.998406 + 0.0564402i \(0.982025\pi\)
\(594\) −21.4421 + 42.1535i −0.879780 + 1.72958i
\(595\) 4.52784i 0.185623i
\(596\) −3.32589 3.78710i −0.136234 0.155126i
\(597\) −19.2651 19.8583i −0.788467 0.812745i
\(598\) −11.3616 30.1551i −0.464611 1.23313i
\(599\) 13.1712 + 22.8132i 0.538162 + 0.932124i 0.999003 + 0.0446413i \(0.0142145\pi\)
−0.460841 + 0.887483i \(0.652452\pi\)
\(600\) −0.833108 + 3.35800i −0.0340115 + 0.137090i
\(601\) 10.6251 18.4032i 0.433406 0.750682i −0.563758 0.825940i \(-0.690645\pi\)
0.997164 + 0.0752583i \(0.0239781\pi\)
\(602\) −11.8927 1.95923i −0.484712 0.0798522i
\(603\) 15.3010 + 28.4615i 0.623107 + 1.15904i
\(604\) 0.245240 0.724119i 0.00997869 0.0294640i
\(605\) −62.9312 36.3333i −2.55852 1.47716i
\(606\) −17.8389 + 37.8691i −0.724657 + 1.53833i
\(607\) 12.9081 7.45251i 0.523924 0.302488i −0.214614 0.976699i \(-0.568849\pi\)
0.738539 + 0.674211i \(0.235516\pi\)
\(608\) 2.86702 + 0.864229i 0.116273 + 0.0350491i
\(609\) −0.580734 0.165083i −0.0235325 0.00668950i
\(610\) −18.2789 14.9904i −0.740092 0.606945i
\(611\) 17.5665 0.710663
\(612\) 1.88738 + 11.2151i 0.0762930 + 0.453344i
\(613\) 0.497742 0.0201036 0.0100518 0.999949i \(-0.496800\pi\)
0.0100518 + 0.999949i \(0.496800\pi\)
\(614\) −9.70208 7.95661i −0.391544 0.321103i
\(615\) 5.34837 + 21.2436i 0.215667 + 0.856623i
\(616\) −18.1929 + 0.614684i −0.733014 + 0.0247663i
\(617\) −13.3288 + 7.69541i −0.536599 + 0.309806i −0.743700 0.668514i \(-0.766931\pi\)
0.207100 + 0.978320i \(0.433597\pi\)
\(618\) −16.1910 23.3163i −0.651299 0.937921i
\(619\) 6.09500 + 3.51895i 0.244979 + 0.141439i 0.617463 0.786600i \(-0.288161\pi\)
−0.372484 + 0.928039i \(0.621494\pi\)
\(620\) −26.6353 9.02070i −1.06970 0.362280i
\(621\) −8.32807 + 26.2439i −0.334194 + 1.05313i
\(622\) 8.47767 + 1.39662i 0.339924 + 0.0559995i
\(623\) 7.20850 12.4855i 0.288802 0.500220i
\(624\) 29.5885 3.48187i 1.18449 0.139386i
\(625\) 14.0162 + 24.2768i 0.560648 + 0.971070i
\(626\) −10.2960 27.3268i −0.411510 1.09220i
\(627\) −5.72219 + 1.44064i −0.228522 + 0.0575337i
\(628\) 13.2208 11.6107i 0.527568 0.463318i
\(629\) 1.59687i 0.0636713i
\(630\) −7.63804 6.66127i −0.304307 0.265391i
\(631\) 0.297508i 0.0118436i −0.999982 0.00592180i \(-0.998115\pi\)
0.999982 0.00592180i \(-0.00188498\pi\)
\(632\) −4.97284 7.97829i −0.197809 0.317359i
\(633\) 1.85607 6.52933i 0.0737720 0.259518i
\(634\) −32.4851 + 12.2395i −1.29015 + 0.486092i
\(635\) 20.3798 + 35.2988i 0.808747 + 1.40079i
\(636\) 24.7676 35.9314i 0.982098 1.42477i
\(637\) −2.15010 + 3.72408i −0.0851901 + 0.147554i
\(638\) 0.515703 3.13038i 0.0204169 0.123933i
\(639\) 0.556746 18.3557i 0.0220245 0.726139i
\(640\) −24.5895 + 11.2140i −0.971985 + 0.443272i
\(641\) 8.18111 + 4.72337i 0.323134 + 0.186562i 0.652789 0.757540i \(-0.273599\pi\)
−0.329654 + 0.944102i \(0.606932\pi\)
\(642\) 0.338951 + 4.05651i 0.0133773 + 0.160098i
\(643\) −29.2594 + 16.8929i −1.15388 + 0.666193i −0.949830 0.312768i \(-0.898744\pi\)
−0.204050 + 0.978960i \(0.565410\pi\)
\(644\) −10.3926 + 2.07478i −0.409526 + 0.0817577i
\(645\) 25.3097 24.5537i 0.996570 0.966801i
\(646\) −0.899800 + 1.09719i −0.0354022 + 0.0431684i
\(647\) −8.81904 −0.346712 −0.173356 0.984859i \(-0.555461\pi\)
−0.173356 + 0.984859i \(0.555461\pi\)
\(648\) −21.6955 13.3156i −0.852280 0.523086i
\(649\) 34.2606 1.34485
\(650\) −2.72347 + 3.32093i −0.106823 + 0.130258i
\(651\) 7.31751 7.09893i 0.286796 0.278229i
\(652\) −21.1219 + 4.21677i −0.827198 + 0.165141i
\(653\) 26.1332 15.0880i 1.02267 0.590440i 0.107795 0.994173i \(-0.465621\pi\)
0.914877 + 0.403733i \(0.132288\pi\)
\(654\) 1.67558 + 20.0530i 0.0655202 + 0.784135i
\(655\) 23.1273 + 13.3525i 0.903657 + 0.521727i
\(656\) −12.8692 + 16.8201i −0.502458 + 0.656716i
\(657\) 0.461979 15.2313i 0.0180235 0.594228i
\(658\) 0.939071 5.70028i 0.0366088 0.222220i
\(659\) −4.08576 + 7.07674i −0.159158 + 0.275671i −0.934565 0.355791i \(-0.884211\pi\)
0.775407 + 0.631462i \(0.217545\pi\)
\(660\) 30.2248 43.8485i 1.17650 1.70680i
\(661\) −22.1468 38.3593i −0.861409 1.49200i −0.870569 0.492046i \(-0.836249\pi\)
0.00916009 0.999958i \(-0.497084\pi\)
\(662\) −39.7108 + 14.9619i −1.54340 + 0.581513i
\(663\) −3.86026 + 13.5798i −0.149920 + 0.527394i
\(664\) −15.5348 + 9.68279i −0.602868 + 0.375765i
\(665\) 1.26449i 0.0490349i
\(666\) 2.69376 + 2.34928i 0.104381 + 0.0910328i
\(667\) 1.84702i 0.0715170i
\(668\) −11.7955 + 10.3590i −0.456382 + 0.400801i
\(669\) −4.37545 + 1.10158i −0.169165 + 0.0425897i
\(670\) −12.8295 34.0511i −0.495647 1.31551i
\(671\) 22.5178 + 39.0020i 0.869291 + 1.50566i
\(672\) 0.451889 9.78753i 0.0174320 0.377562i
\(673\) 6.17994 10.7040i 0.238219 0.412608i −0.721984 0.691910i \(-0.756770\pi\)
0.960203 + 0.279302i \(0.0901030\pi\)
\(674\) 14.7188 + 2.42479i 0.566946 + 0.0933995i
\(675\) 3.58415 0.787637i 0.137954 0.0303161i
\(676\) 10.4030 + 3.52325i 0.400117 + 0.135509i
\(677\) −2.57177 1.48481i −0.0988412 0.0570660i 0.449765 0.893147i \(-0.351508\pi\)
−0.548606 + 0.836081i \(0.684841\pi\)
\(678\) 12.7047 + 18.2957i 0.487920 + 0.702642i
\(679\) 6.69654 3.86625i 0.256990 0.148373i
\(680\) −0.432452 12.7994i −0.0165838 0.490833i
\(681\) 1.32363 + 5.25744i 0.0507218 + 0.201465i
\(682\) 41.4250 + 33.9724i 1.58625 + 1.30087i
\(683\) 13.3131 0.509413 0.254707 0.967018i \(-0.418021\pi\)
0.254707 + 0.967018i \(0.418021\pi\)
\(684\) −0.527091 3.13205i −0.0201538 0.119757i
\(685\) 11.8757 0.453749
\(686\) 1.09352 + 0.896785i 0.0417506 + 0.0342394i
\(687\) 11.1153 + 3.15970i 0.424074 + 0.120550i
\(688\) 33.8057 + 4.40250i 1.28883 + 0.167844i
\(689\) 46.9158 27.0868i 1.78735 1.03193i
\(690\) 13.2128 28.0487i 0.503004 1.06780i
\(691\) −35.4607 20.4733i −1.34899 0.778840i −0.360884 0.932611i \(-0.617525\pi\)
−0.988107 + 0.153771i \(0.950858\pi\)
\(692\) −12.2716 + 36.2342i −0.466496 + 1.37742i
\(693\) 9.14240 + 17.0058i 0.347291 + 0.645997i
\(694\) −12.7166 2.09495i −0.482716 0.0795233i
\(695\) −10.2936 + 17.8290i −0.390457 + 0.676292i
\(696\) 1.65739 + 0.411193i 0.0628234 + 0.0155862i
\(697\) −5.01792 8.69129i −0.190067 0.329206i
\(698\) 11.2667 + 29.9031i 0.426449 + 1.13185i
\(699\) −18.1143 18.6720i −0.685144 0.706241i
\(700\) 0.932042 + 1.06129i 0.0352279 + 0.0401130i
\(701\) 18.8087i 0.710396i −0.934791 0.355198i \(-0.884413\pi\)
0.934791 0.355198i \(-0.115587\pi\)
\(702\) −17.2286 26.4902i −0.650252 0.999807i
\(703\) 0.445958i 0.0168196i
\(704\) 51.3693 3.47520i 1.93605 0.130976i
\(705\) 11.7688 + 12.1311i 0.443237 + 0.456885i
\(706\) 8.81063 3.31960i 0.331592 0.124935i
\(707\) 8.54473 + 14.7999i 0.321358 + 0.556608i
\(708\) −1.47206 + 18.3820i −0.0553235 + 0.690837i
\(709\) 19.3884 33.5818i 0.728148 1.26119i −0.229517 0.973305i \(-0.573715\pi\)
0.957665 0.287885i \(-0.0929520\pi\)
\(710\) −3.36145 + 20.4044i −0.126153 + 0.765763i
\(711\) −5.24524 + 8.48042i −0.196712 + 0.318040i
\(712\) −19.1846 + 35.9826i −0.718973 + 1.34851i
\(713\) 27.0112 + 15.5949i 1.01158 + 0.584035i
\(714\) 4.20023 + 1.97859i 0.157190 + 0.0740470i
\(715\) 57.2532 33.0551i 2.14115 1.23619i
\(716\) 10.2379 + 51.2817i 0.382607 + 1.91649i
\(717\) 3.66867 + 1.04288i 0.137009 + 0.0389470i
\(718\) 7.20418 8.78459i 0.268858 0.327838i
\(719\) 27.9873 1.04375 0.521875 0.853022i \(-0.325233\pi\)
0.521875 + 0.853022i \(0.325233\pi\)
\(720\) 22.2275 + 18.1007i 0.828371 + 0.674572i
\(721\) −11.5888 −0.431589
\(722\) −16.7876 + 20.4704i −0.624771 + 0.761829i
\(723\) −7.85224 31.1888i −0.292028 1.15993i
\(724\) −7.40708 37.1022i −0.275282 1.37889i
\(725\) −0.213190 + 0.123085i −0.00791769 + 0.00457128i
\(726\) −61.2044 + 42.5007i −2.27151 + 1.57735i
\(727\) 11.9395 + 6.89330i 0.442813 + 0.255658i 0.704790 0.709416i \(-0.251041\pi\)
−0.261977 + 0.965074i \(0.584374\pi\)
\(728\) 5.72225 10.7326i 0.212081 0.397778i
\(729\) −2.45267 + 26.8884i −0.0908397 + 0.995866i
\(730\) −2.78928 + 16.9313i −0.103236 + 0.626654i
\(731\) −8.07734 + 13.9904i −0.298751 + 0.517452i
\(732\) −21.8934 + 10.4058i −0.809204 + 0.384609i
\(733\) 20.9012 + 36.2020i 0.772005 + 1.33715i 0.936463 + 0.350767i \(0.114079\pi\)
−0.164458 + 0.986384i \(0.552588\pi\)
\(734\) −22.8027 + 8.59145i −0.841664 + 0.317116i
\(735\) −4.01227 + 1.01015i −0.147995 + 0.0372598i
\(736\) 29.1798 6.85760i 1.07558 0.252775i
\(737\) 69.3221i 2.55351i
\(738\) 22.0437 + 4.32170i 0.811438 + 0.159084i
\(739\) 47.3413i 1.74148i −0.491746 0.870739i \(-0.663641\pi\)
0.491746 0.870739i \(-0.336359\pi\)
\(740\) −2.65593 3.02424i −0.0976339 0.111173i
\(741\) 1.07806 3.79242i 0.0396034 0.139318i
\(742\) −6.28158 16.6721i −0.230604 0.612051i
\(743\) 1.10160 + 1.90802i 0.0404136 + 0.0699984i 0.885525 0.464592i \(-0.153799\pi\)
−0.845111 + 0.534591i \(0.820466\pi\)
\(744\) −20.0072 + 20.7663i −0.733501 + 0.761328i
\(745\) 3.00998 5.21343i 0.110277 0.191005i
\(746\) 0.727681 + 0.119879i 0.0266423 + 0.00438909i
\(747\) 16.5125 + 10.2132i 0.604162 + 0.373682i
\(748\) −7.82628 + 23.1086i −0.286157 + 0.844933i
\(749\) 1.43919 + 0.830918i 0.0525869 + 0.0303611i
\(750\) 25.0368 2.09200i 0.914213 0.0763892i
\(751\) 9.02644 5.21142i 0.329379 0.190167i −0.326186 0.945306i \(-0.605764\pi\)
0.655566 + 0.755138i \(0.272430\pi\)
\(752\) −2.11015 + 16.2033i −0.0769492 + 0.590874i
\(753\) 7.68487 7.45531i 0.280052 0.271687i
\(754\) 1.63910 + 1.34421i 0.0596924 + 0.0489534i
\(755\) 0.913132 0.0332323
\(756\) −9.51700 + 4.17453i −0.346130 + 0.151826i
\(757\) 14.0656 0.511224 0.255612 0.966779i \(-0.417723\pi\)
0.255612 + 0.966779i \(0.417723\pi\)
\(758\) −24.9803 20.4862i −0.907326 0.744092i
\(759\) −42.3953 + 41.1289i −1.53885 + 1.49289i
\(760\) 0.120771 + 3.57448i 0.00438082 + 0.129660i
\(761\) −23.2533 + 13.4253i −0.842931 + 0.486667i −0.858260 0.513216i \(-0.828454\pi\)
0.0153283 + 0.999883i \(0.495121\pi\)
\(762\) 41.6505 3.48020i 1.50884 0.126074i
\(763\) 7.11451 + 4.10757i 0.257563 + 0.148704i
\(764\) −17.8334 6.03970i −0.645188 0.218509i
\(765\) −11.9642 + 6.43200i −0.432566 + 0.232549i
\(766\) 34.8241 + 5.73697i 1.25825 + 0.207285i
\(767\) −11.4459 + 19.8248i −0.413286 + 0.715833i
\(768\) −0.342604 + 27.7107i −0.0123626 + 0.999924i
\(769\) 18.9397 + 32.8045i 0.682983 + 1.18296i 0.974066 + 0.226263i \(0.0726510\pi\)
−0.291083 + 0.956698i \(0.594016\pi\)
\(770\) −7.66566 20.3456i −0.276251 0.733204i
\(771\) −3.82087 + 13.4412i −0.137605 + 0.484072i
\(772\) −1.97986 + 1.73875i −0.0712569 + 0.0625788i
\(773\) 26.0697i 0.937662i 0.883288 + 0.468831i \(0.155325\pi\)