Properties

Label 546.2.by.b.397.5
Level $546$
Weight $2$
Character 546.397
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 397.5
Character \(\chi\) \(=\) 546.397
Dual form 546.2.by.b.535.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +1.00000i q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.939253 + 3.50534i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-2.04406 - 1.67982i) q^{7} +(0.707107 - 0.707107i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +1.00000i q^{3} +(-0.866025 - 0.500000i) q^{4} +(0.939253 + 3.50534i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-2.04406 - 1.67982i) q^{7} +(0.707107 - 0.707107i) q^{8} -1.00000 q^{9} -3.62900 q^{10} +(-1.98466 + 1.98466i) q^{11} +(0.500000 - 0.866025i) q^{12} +(-3.16979 - 1.71826i) q^{13} +(2.15163 - 1.53965i) q^{14} +(-3.50534 + 0.939253i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-1.98611 + 3.44004i) q^{17} +(0.258819 - 0.965926i) q^{18} +(1.23808 - 1.23808i) q^{19} +(0.939253 - 3.50534i) q^{20} +(1.67982 - 2.04406i) q^{21} +(-1.40337 - 2.43070i) q^{22} +(2.41124 - 1.39213i) q^{23} +(0.707107 + 0.707107i) q^{24} +(-7.07509 + 4.08481i) q^{25} +(2.48012 - 2.61706i) q^{26} -1.00000i q^{27} +(0.930302 + 2.47680i) q^{28} +(-2.41978 + 4.19119i) q^{29} -3.62900i q^{30} +(9.26580 + 2.48276i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-1.98466 - 1.98466i) q^{33} +(-2.80878 - 2.80878i) q^{34} +(3.96845 - 8.74292i) q^{35} +(0.866025 + 0.500000i) q^{36} +(-11.2309 - 3.00931i) q^{37} +(0.875453 + 1.51633i) q^{38} +(1.71826 - 3.16979i) q^{39} +(3.14280 + 1.81450i) q^{40} +(-2.09174 - 7.80648i) q^{41} +(1.53965 + 2.15163i) q^{42} +(-1.95431 + 1.12832i) q^{43} +(2.71110 - 0.726436i) q^{44} +(-0.939253 - 3.50534i) q^{45} +(0.720620 + 2.68939i) q^{46} +(2.00862 - 0.538208i) q^{47} +(-0.866025 + 0.500000i) q^{48} +(1.35640 + 6.86733i) q^{49} +(-2.11445 - 7.89124i) q^{50} +(-3.44004 - 1.98611i) q^{51} +(1.88599 + 3.07295i) q^{52} +(2.21480 + 3.83615i) q^{53} +(0.965926 + 0.258819i) q^{54} +(-8.82101 - 5.09281i) q^{55} +(-2.63318 + 0.257559i) q^{56} +(1.23808 + 1.23808i) q^{57} +(-3.42209 - 3.42209i) q^{58} +(-5.27526 + 1.41350i) q^{59} +(3.50534 + 0.939253i) q^{60} +13.6956i q^{61} +(-4.79633 + 8.30749i) q^{62} +(2.04406 + 1.67982i) q^{63} -1.00000i q^{64} +(3.04586 - 12.7251i) q^{65} +(2.43070 - 1.40337i) q^{66} +(2.58500 + 2.58500i) q^{67} +(3.44004 - 1.98611i) q^{68} +(1.39213 + 2.41124i) q^{69} +(7.41790 + 6.09606i) q^{70} +(-1.90908 + 7.12477i) q^{71} +(-0.707107 + 0.707107i) q^{72} +(1.41102 - 5.26598i) q^{73} +(5.81353 - 10.0693i) q^{74} +(-4.08481 - 7.07509i) q^{75} +(-1.69124 + 0.453168i) q^{76} +(7.39065 - 0.722900i) q^{77} +(2.61706 + 2.48012i) q^{78} +(-2.35907 + 4.08603i) q^{79} +(-2.56609 + 2.56609i) q^{80} +1.00000 q^{81} +8.08186 q^{82} +(4.55850 - 4.55850i) q^{83} +(-2.47680 + 0.930302i) q^{84} +(-13.9240 - 3.73092i) q^{85} +(-0.584061 - 2.17975i) q^{86} +(-4.19119 - 2.41978i) q^{87} +2.80673i q^{88} +(-0.842441 + 3.14403i) q^{89} +3.62900 q^{90} +(3.59289 + 8.83692i) q^{91} -2.78426 q^{92} +(-2.48276 + 9.26580i) q^{93} +2.07947i q^{94} +(5.50275 + 3.17701i) q^{95} +(-0.258819 - 0.965926i) q^{96} +(14.9544 + 4.00703i) q^{97} +(-6.98439 - 0.467210i) q^{98} +(1.98466 - 1.98466i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 4q^{7} - 40q^{9} - 4q^{11} + 20q^{12} + 4q^{14} + 20q^{16} + 8q^{17} + 8q^{19} - 8q^{21} - 4q^{22} + 24q^{23} + 24q^{25} - 8q^{26} + 4q^{28} - 12q^{29} + 24q^{31} - 4q^{33} + 8q^{34} + 28q^{35} - 8q^{37} - 8q^{38} - 16q^{39} - 20q^{41} - 12q^{42} - 24q^{43} + 8q^{44} - 4q^{46} - 16q^{47} + 4q^{49} - 16q^{50} - 24q^{51} - 4q^{52} - 4q^{53} - 24q^{55} + 12q^{56} + 8q^{57} + 24q^{58} - 12q^{59} - 32q^{62} + 4q^{63} - 4q^{65} - 24q^{67} + 24q^{68} + 8q^{69} + 52q^{70} - 28q^{71} + 108q^{73} + 20q^{74} - 36q^{75} - 4q^{76} + 12q^{77} + 4q^{78} + 40q^{81} - 48q^{82} - 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{87} - 60q^{89} - 40q^{91} - 16q^{92} - 48q^{95} + 48q^{97} - 8q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) 1.00000i 0.577350i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 0.939253 + 3.50534i 0.420047 + 1.56764i 0.774507 + 0.632565i \(0.217998\pi\)
−0.354460 + 0.935071i \(0.615335\pi\)
\(6\) −0.965926 0.258819i −0.394338 0.105662i
\(7\) −2.04406 1.67982i −0.772584 0.634913i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.00000 −0.333333
\(10\) −3.62900 −1.14759
\(11\) −1.98466 + 1.98466i −0.598398 + 0.598398i −0.939886 0.341488i \(-0.889069\pi\)
0.341488 + 0.939886i \(0.389069\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) −3.16979 1.71826i −0.879142 0.476560i
\(14\) 2.15163 1.53965i 0.575046 0.411488i
\(15\) −3.50534 + 0.939253i −0.905075 + 0.242514i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −1.98611 + 3.44004i −0.481702 + 0.834332i −0.999779 0.0210016i \(-0.993314\pi\)
0.518078 + 0.855334i \(0.326648\pi\)
\(18\) 0.258819 0.965926i 0.0610042 0.227671i
\(19\) 1.23808 1.23808i 0.284034 0.284034i −0.550681 0.834716i \(-0.685632\pi\)
0.834716 + 0.550681i \(0.185632\pi\)
\(20\) 0.939253 3.50534i 0.210023 0.783818i
\(21\) 1.67982 2.04406i 0.366567 0.446052i
\(22\) −1.40337 2.43070i −0.299199 0.518227i
\(23\) 2.41124 1.39213i 0.502779 0.290280i −0.227081 0.973876i \(-0.572918\pi\)
0.729860 + 0.683596i \(0.239585\pi\)
\(24\) 0.707107 + 0.707107i 0.144338 + 0.144338i
\(25\) −7.07509 + 4.08481i −1.41502 + 0.816961i
\(26\) 2.48012 2.61706i 0.486391 0.513249i
\(27\) 1.00000i 0.192450i
\(28\) 0.930302 + 2.47680i 0.175810 + 0.468071i
\(29\) −2.41978 + 4.19119i −0.449343 + 0.778284i −0.998343 0.0575376i \(-0.981675\pi\)
0.549001 + 0.835822i \(0.315008\pi\)
\(30\) 3.62900i 0.662561i
\(31\) 9.26580 + 2.48276i 1.66419 + 0.445918i 0.963534 0.267584i \(-0.0862254\pi\)
0.700653 + 0.713502i \(0.252892\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −1.98466 1.98466i −0.345485 0.345485i
\(34\) −2.80878 2.80878i −0.481702 0.481702i
\(35\) 3.96845 8.74292i 0.670791 1.47782i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) −11.2309 3.00931i −1.84635 0.494727i −0.847024 0.531555i \(-0.821608\pi\)
−0.999322 + 0.0368283i \(0.988275\pi\)
\(38\) 0.875453 + 1.51633i 0.142017 + 0.245981i
\(39\) 1.71826 3.16979i 0.275142 0.507573i
\(40\) 3.14280 + 1.81450i 0.496921 + 0.286897i
\(41\) −2.09174 7.80648i −0.326675 1.21917i −0.912618 0.408814i \(-0.865942\pi\)
0.585943 0.810352i \(-0.300724\pi\)
\(42\) 1.53965 + 2.15163i 0.237572 + 0.332003i
\(43\) −1.95431 + 1.12832i −0.298029 + 0.172067i −0.641557 0.767075i \(-0.721711\pi\)
0.343528 + 0.939142i \(0.388378\pi\)
\(44\) 2.71110 0.726436i 0.408713 0.109514i
\(45\) −0.939253 3.50534i −0.140016 0.522545i
\(46\) 0.720620 + 2.68939i 0.106250 + 0.396529i
\(47\) 2.00862 0.538208i 0.292987 0.0785056i −0.109332 0.994005i \(-0.534871\pi\)
0.402319 + 0.915500i \(0.368204\pi\)
\(48\) −0.866025 + 0.500000i −0.125000 + 0.0721688i
\(49\) 1.35640 + 6.86733i 0.193772 + 0.981047i
\(50\) −2.11445 7.89124i −0.299029 1.11599i
\(51\) −3.44004 1.98611i −0.481702 0.278111i
\(52\) 1.88599 + 3.07295i 0.261540 + 0.426142i
\(53\) 2.21480 + 3.83615i 0.304227 + 0.526936i 0.977089 0.212832i \(-0.0682687\pi\)
−0.672862 + 0.739768i \(0.734935\pi\)
\(54\) 0.965926 + 0.258819i 0.131446 + 0.0352208i
\(55\) −8.82101 5.09281i −1.18942 0.686715i
\(56\) −2.63318 + 0.257559i −0.351874 + 0.0344178i
\(57\) 1.23808 + 1.23808i 0.163987 + 0.163987i
\(58\) −3.42209 3.42209i −0.449343 0.449343i
\(59\) −5.27526 + 1.41350i −0.686781 + 0.184022i −0.585302 0.810815i \(-0.699024\pi\)
−0.101479 + 0.994838i \(0.532357\pi\)
\(60\) 3.50534 + 0.939253i 0.452538 + 0.121257i
\(61\) 13.6956i 1.75354i 0.480911 + 0.876769i \(0.340306\pi\)
−0.480911 + 0.876769i \(0.659694\pi\)
\(62\) −4.79633 + 8.30749i −0.609135 + 1.05505i
\(63\) 2.04406 + 1.67982i 0.257528 + 0.211638i
\(64\) 1.00000i 0.125000i
\(65\) 3.04586 12.7251i 0.377792 1.57835i
\(66\) 2.43070 1.40337i 0.299199 0.172742i
\(67\) 2.58500 + 2.58500i 0.315808 + 0.315808i 0.847154 0.531347i \(-0.178314\pi\)
−0.531347 + 0.847154i \(0.678314\pi\)
\(68\) 3.44004 1.98611i 0.417166 0.240851i
\(69\) 1.39213 + 2.41124i 0.167593 + 0.290280i
\(70\) 7.41790 + 6.09606i 0.886609 + 0.728619i
\(71\) −1.90908 + 7.12477i −0.226566 + 0.845554i 0.755206 + 0.655488i \(0.227537\pi\)
−0.981771 + 0.190066i \(0.939130\pi\)
\(72\) −0.707107 + 0.707107i −0.0833333 + 0.0833333i
\(73\) 1.41102 5.26598i 0.165147 0.616337i −0.832874 0.553462i \(-0.813306\pi\)
0.998021 0.0628749i \(-0.0200269\pi\)
\(74\) 5.81353 10.0693i 0.675809 1.17054i
\(75\) −4.08481 7.07509i −0.471673 0.816961i
\(76\) −1.69124 + 0.453168i −0.193999 + 0.0519819i
\(77\) 7.39065 0.722900i 0.842243 0.0823821i
\(78\) 2.61706 + 2.48012i 0.296324 + 0.280818i
\(79\) −2.35907 + 4.08603i −0.265416 + 0.459714i −0.967673 0.252210i \(-0.918843\pi\)
0.702257 + 0.711924i \(0.252176\pi\)
\(80\) −2.56609 + 2.56609i −0.286897 + 0.286897i
\(81\) 1.00000 0.111111
\(82\) 8.08186 0.892492
\(83\) 4.55850 4.55850i 0.500361 0.500361i −0.411189 0.911550i \(-0.634886\pi\)
0.911550 + 0.411189i \(0.134886\pi\)
\(84\) −2.47680 + 0.930302i −0.270241 + 0.101504i
\(85\) −13.9240 3.73092i −1.51027 0.404675i
\(86\) −0.584061 2.17975i −0.0629810 0.235048i
\(87\) −4.19119 2.41978i −0.449343 0.259428i
\(88\) 2.80673i 0.299199i
\(89\) −0.842441 + 3.14403i −0.0892986 + 0.333267i −0.996093 0.0883052i \(-0.971855\pi\)
0.906795 + 0.421572i \(0.138522\pi\)
\(90\) 3.62900 0.382530
\(91\) 3.59289 + 8.83692i 0.376637 + 0.926361i
\(92\) −2.78426 −0.290280
\(93\) −2.48276 + 9.26580i −0.257451 + 0.960819i
\(94\) 2.07947i 0.214481i
\(95\) 5.50275 + 3.17701i 0.564570 + 0.325955i
\(96\) −0.258819 0.965926i −0.0264156 0.0985844i
\(97\) 14.9544 + 4.00703i 1.51839 + 0.406852i 0.919213 0.393762i \(-0.128826\pi\)
0.599181 + 0.800614i \(0.295493\pi\)
\(98\) −6.98439 0.467210i −0.705530 0.0471954i
\(99\) 1.98466 1.98466i 0.199466 0.199466i
\(100\) 8.16961 0.816961
\(101\) −10.3382 −1.02869 −0.514343 0.857585i \(-0.671964\pi\)
−0.514343 + 0.857585i \(0.671964\pi\)
\(102\) 2.80878 2.80878i 0.278111 0.278111i
\(103\) 2.54798 4.41323i 0.251060 0.434849i −0.712758 0.701410i \(-0.752554\pi\)
0.963818 + 0.266561i \(0.0858875\pi\)
\(104\) −3.45638 + 1.02639i −0.338925 + 0.100645i
\(105\) 8.74292 + 3.96845i 0.853222 + 0.387281i
\(106\) −4.27867 + 1.14647i −0.415581 + 0.111355i
\(107\) 8.31594 + 14.4036i 0.803932 + 1.39245i 0.917010 + 0.398865i \(0.130596\pi\)
−0.113078 + 0.993586i \(0.536071\pi\)
\(108\) −0.500000 + 0.866025i −0.0481125 + 0.0833333i
\(109\) −0.167574 + 0.625393i −0.0160506 + 0.0599018i −0.973487 0.228744i \(-0.926538\pi\)
0.957436 + 0.288645i \(0.0932049\pi\)
\(110\) 7.20232 7.20232i 0.686715 0.686715i
\(111\) 3.00931 11.2309i 0.285631 1.06599i
\(112\) 0.432735 2.61012i 0.0408896 0.246633i
\(113\) 1.11284 + 1.92750i 0.104687 + 0.181324i 0.913610 0.406591i \(-0.133283\pi\)
−0.808923 + 0.587914i \(0.799949\pi\)
\(114\) −1.51633 + 0.875453i −0.142017 + 0.0819937i
\(115\) 7.14466 + 7.14466i 0.666243 + 0.666243i
\(116\) 4.19119 2.41978i 0.389142 0.224671i
\(117\) 3.16979 + 1.71826i 0.293047 + 0.158853i
\(118\) 5.46135i 0.502758i
\(119\) 9.83838 3.69536i 0.901883 0.338753i
\(120\) −1.81450 + 3.14280i −0.165640 + 0.286897i
\(121\) 3.12225i 0.283841i
\(122\) −13.2289 3.54468i −1.19769 0.320920i
\(123\) 7.80648 2.09174i 0.703886 0.188606i
\(124\) −6.78304 6.78304i −0.609135 0.609135i
\(125\) −8.13351 8.13351i −0.727483 0.727483i
\(126\) −2.15163 + 1.53965i −0.191682 + 0.137163i
\(127\) −4.06795 2.34863i −0.360972 0.208408i 0.308535 0.951213i \(-0.400161\pi\)
−0.669507 + 0.742805i \(0.733495\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) −1.12832 1.95431i −0.0993430 0.172067i
\(130\) 11.5032 + 6.23556i 1.00889 + 0.546895i
\(131\) 12.6996 + 7.33214i 1.10957 + 0.640612i 0.938719 0.344684i \(-0.112014\pi\)
0.170854 + 0.985296i \(0.445347\pi\)
\(132\) 0.726436 + 2.71110i 0.0632281 + 0.235971i
\(133\) −4.61046 + 0.450962i −0.399777 + 0.0391034i
\(134\) −3.16596 + 1.82787i −0.273497 + 0.157904i
\(135\) 3.50534 0.939253i 0.301692 0.0808381i
\(136\) 1.02808 + 3.83686i 0.0881575 + 0.329008i
\(137\) −0.427959 1.59717i −0.0365630 0.136455i 0.945232 0.326400i \(-0.105836\pi\)
−0.981795 + 0.189945i \(0.939169\pi\)
\(138\) −2.68939 + 0.720620i −0.228936 + 0.0613433i
\(139\) −7.64204 + 4.41213i −0.648189 + 0.374232i −0.787762 0.615980i \(-0.788760\pi\)
0.139573 + 0.990212i \(0.455427\pi\)
\(140\) −7.80824 + 5.58737i −0.659917 + 0.472219i
\(141\) 0.538208 + 2.00862i 0.0453253 + 0.169156i
\(142\) −6.38789 3.68805i −0.536060 0.309494i
\(143\) 9.70112 2.88079i 0.811249 0.240904i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −16.9643 4.54558i −1.40881 0.377490i
\(146\) 4.72135 + 2.72587i 0.390742 + 0.225595i
\(147\) −6.86733 + 1.35640i −0.566408 + 0.111874i
\(148\) 8.22157 + 8.22157i 0.675809 + 0.675809i
\(149\) 11.7326 + 11.7326i 0.961171 + 0.961171i 0.999274 0.0381031i \(-0.0121315\pi\)
−0.0381031 + 0.999274i \(0.512132\pi\)
\(150\) 7.89124 2.11445i 0.644317 0.172644i
\(151\) 10.6785 + 2.86129i 0.869002 + 0.232848i 0.665656 0.746258i \(-0.268152\pi\)
0.203346 + 0.979107i \(0.434818\pi\)
\(152\) 1.75091i 0.142017i
\(153\) 1.98611 3.44004i 0.160567 0.278111i
\(154\) −1.21457 + 7.32592i −0.0978730 + 0.590339i
\(155\) 34.8117i 2.79615i
\(156\) −3.07295 + 1.88599i −0.246033 + 0.151000i
\(157\) −8.31074 + 4.79821i −0.663270 + 0.382939i −0.793522 0.608542i \(-0.791755\pi\)
0.130252 + 0.991481i \(0.458421\pi\)
\(158\) −3.33623 3.33623i −0.265416 0.265416i
\(159\) −3.83615 + 2.21480i −0.304227 + 0.175645i
\(160\) −1.81450 3.14280i −0.143449 0.248460i
\(161\) −7.26727 1.20485i −0.572741 0.0949554i
\(162\) −0.258819 + 0.965926i −0.0203347 + 0.0758903i
\(163\) −13.9940 + 13.9940i −1.09610 + 1.09610i −0.101234 + 0.994863i \(0.532279\pi\)
−0.994863 + 0.101234i \(0.967721\pi\)
\(164\) −2.09174 + 7.80648i −0.163337 + 0.609583i
\(165\) 5.09281 8.82101i 0.396475 0.686715i
\(166\) 3.22335 + 5.58300i 0.250180 + 0.433325i
\(167\) −9.79382 + 2.62425i −0.757868 + 0.203070i −0.617005 0.786959i \(-0.711654\pi\)
−0.140863 + 0.990029i \(0.544988\pi\)
\(168\) −0.257559 2.63318i −0.0198711 0.203155i
\(169\) 7.09515 + 10.8931i 0.545781 + 0.837928i
\(170\) 7.20758 12.4839i 0.552796 0.957470i
\(171\) −1.23808 + 1.23808i −0.0946781 + 0.0946781i
\(172\) 2.25664 0.172067
\(173\) 17.1586 1.30454 0.652272 0.757985i \(-0.273816\pi\)
0.652272 + 0.757985i \(0.273816\pi\)
\(174\) 3.42209 3.42209i 0.259428 0.259428i
\(175\) 21.3237 + 3.53528i 1.61192 + 0.267242i
\(176\) −2.71110 0.726436i −0.204357 0.0547572i
\(177\) −1.41350 5.27526i −0.106245 0.396513i
\(178\) −2.81886 1.62747i −0.211283 0.121984i
\(179\) 15.0588i 1.12555i 0.826610 + 0.562775i \(0.190266\pi\)
−0.826610 + 0.562775i \(0.809734\pi\)
\(180\) −0.939253 + 3.50534i −0.0700078 + 0.261273i
\(181\) −24.4184 −1.81501 −0.907504 0.420043i \(-0.862015\pi\)
−0.907504 + 0.420043i \(0.862015\pi\)
\(182\) −9.46572 + 1.18330i −0.701646 + 0.0877120i
\(183\) −13.6956 −1.01241
\(184\) 0.720620 2.68939i 0.0531248 0.198265i
\(185\) 42.1946i 3.10221i
\(186\) −8.30749 4.79633i −0.609135 0.351684i
\(187\) −2.88556 10.7691i −0.211013 0.787511i
\(188\) −2.00862 0.538208i −0.146494 0.0392528i
\(189\) −1.67982 + 2.04406i −0.122189 + 0.148684i
\(190\) −4.49298 + 4.49298i −0.325955 + 0.325955i
\(191\) −3.90688 −0.282692 −0.141346 0.989960i \(-0.545143\pi\)
−0.141346 + 0.989960i \(0.545143\pi\)
\(192\) 1.00000 0.0721688
\(193\) 12.4516 12.4516i 0.896284 0.896284i −0.0988210 0.995105i \(-0.531507\pi\)
0.995105 + 0.0988210i \(0.0315071\pi\)
\(194\) −7.74099 + 13.4078i −0.555771 + 0.962623i
\(195\) 12.7251 + 3.04586i 0.911262 + 0.218118i
\(196\) 2.25898 6.62548i 0.161356 0.473249i
\(197\) −15.6894 + 4.20397i −1.11783 + 0.299521i −0.770004 0.638040i \(-0.779746\pi\)
−0.347823 + 0.937560i \(0.613079\pi\)
\(198\) 1.40337 + 2.43070i 0.0997329 + 0.172742i
\(199\) 12.4589 21.5795i 0.883191 1.52973i 0.0354186 0.999373i \(-0.488724\pi\)
0.847773 0.530360i \(-0.177943\pi\)
\(200\) −2.11445 + 7.89124i −0.149514 + 0.557995i
\(201\) −2.58500 + 2.58500i −0.182332 + 0.182332i
\(202\) 2.67571 9.98589i 0.188262 0.702605i
\(203\) 11.9866 4.50226i 0.841297 0.315997i
\(204\) 1.98611 + 3.44004i 0.139055 + 0.240851i
\(205\) 25.3997 14.6645i 1.77399 1.02421i
\(206\) 3.60339 + 3.60339i 0.251060 + 0.251060i
\(207\) −2.41124 + 1.39213i −0.167593 + 0.0967598i
\(208\) −0.0968376 3.60425i −0.00671448 0.249910i
\(209\) 4.91432i 0.339931i
\(210\) −6.09606 + 7.41790i −0.420668 + 0.511884i
\(211\) 12.5816 21.7919i 0.866150 1.50022i 0.000250090 1.00000i \(-0.499920\pi\)
0.865900 0.500217i \(-0.166746\pi\)
\(212\) 4.42961i 0.304227i
\(213\) −7.12477 1.90908i −0.488181 0.130808i
\(214\) −16.0652 + 4.30465i −1.09819 + 0.294260i
\(215\) −5.79074 5.79074i −0.394925 0.394925i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) −14.7693 20.6398i −1.00261 1.40112i
\(218\) −0.560712 0.323727i −0.0379762 0.0219256i
\(219\) 5.26598 + 1.41102i 0.355842 + 0.0953477i
\(220\) 5.09281 + 8.82101i 0.343357 + 0.594712i
\(221\) 12.2064 7.49155i 0.821094 0.503936i
\(222\) 10.0693 + 5.81353i 0.675809 + 0.390179i
\(223\) −4.49900 16.7905i −0.301275 1.12437i −0.936104 0.351722i \(-0.885596\pi\)
0.634829 0.772652i \(-0.281070\pi\)
\(224\) 2.40918 + 1.09354i 0.160970 + 0.0730652i
\(225\) 7.07509 4.08481i 0.471673 0.272320i
\(226\) −2.14984 + 0.576049i −0.143005 + 0.0383182i
\(227\) −5.46249 20.3863i −0.362558 1.35308i −0.870701 0.491812i \(-0.836335\pi\)
0.508143 0.861273i \(-0.330332\pi\)
\(228\) −0.453168 1.69124i −0.0300118 0.112005i
\(229\) 10.0670 2.69746i 0.665249 0.178253i 0.0896351 0.995975i \(-0.471430\pi\)
0.575614 + 0.817722i \(0.304763\pi\)
\(230\) −8.75039 + 5.05204i −0.576984 + 0.333122i
\(231\) 0.722900 + 7.39065i 0.0475634 + 0.486269i
\(232\) 1.25257 + 4.67466i 0.0822354 + 0.306907i
\(233\) 18.3850 + 10.6146i 1.20444 + 0.695386i 0.961540 0.274665i \(-0.0885669\pi\)
0.242903 + 0.970051i \(0.421900\pi\)
\(234\) −2.48012 + 2.61706i −0.162130 + 0.171083i
\(235\) 3.77320 + 6.53538i 0.246137 + 0.426321i
\(236\) 5.27526 + 1.41350i 0.343390 + 0.0920112i
\(237\) −4.08603 2.35907i −0.265416 0.153238i
\(238\) 1.02308 + 10.4596i 0.0663165 + 0.677994i
\(239\) −13.2336 13.2336i −0.856011 0.856011i 0.134855 0.990865i \(-0.456943\pi\)
−0.990865 + 0.134855i \(0.956943\pi\)
\(240\) −2.56609 2.56609i −0.165640 0.165640i
\(241\) −17.3135 + 4.63914i −1.11526 + 0.298833i −0.768965 0.639291i \(-0.779228\pi\)
−0.346297 + 0.938125i \(0.612561\pi\)
\(242\) −3.01586 0.808097i −0.193867 0.0519465i
\(243\) 1.00000i 0.0641500i
\(244\) 6.84779 11.8607i 0.438385 0.759305i
\(245\) −22.7983 + 11.2048i −1.45653 + 0.715849i
\(246\) 8.08186i 0.515280i
\(247\) −6.05179 + 1.79711i −0.385066 + 0.114347i
\(248\) 8.30749 4.79633i 0.527526 0.304567i
\(249\) 4.55850 + 4.55850i 0.288883 + 0.288883i
\(250\) 9.96147 5.75126i 0.630019 0.363741i
\(251\) −2.34493 4.06154i −0.148011 0.256362i 0.782481 0.622674i \(-0.213954\pi\)
−0.930492 + 0.366312i \(0.880620\pi\)
\(252\) −0.930302 2.47680i −0.0586035 0.156024i
\(253\) −2.02259 + 7.54841i −0.127159 + 0.474564i
\(254\) 3.32147 3.32147i 0.208408 0.208408i
\(255\) 3.73092 13.9240i 0.233639 0.871953i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −5.25727 9.10586i −0.327939 0.568008i 0.654163 0.756353i \(-0.273021\pi\)
−0.982103 + 0.188346i \(0.939688\pi\)
\(258\) 2.17975 0.584061i 0.135705 0.0363621i
\(259\) 17.9016 + 25.0171i 1.11235 + 1.55449i
\(260\) −9.00033 + 9.49732i −0.558177 + 0.588999i
\(261\) 2.41978 4.19119i 0.149781 0.259428i
\(262\) −10.3692 + 10.3692i −0.640612 + 0.640612i
\(263\) 5.01761 0.309399 0.154700 0.987962i \(-0.450559\pi\)
0.154700 + 0.987962i \(0.450559\pi\)
\(264\) −2.80673 −0.172742
\(265\) −11.3668 + 11.3668i −0.698254 + 0.698254i
\(266\) 0.757678 4.57008i 0.0464562 0.280209i
\(267\) −3.14403 0.842441i −0.192412 0.0515566i
\(268\) −0.946174 3.53117i −0.0577968 0.215701i
\(269\) 6.95285 + 4.01423i 0.423923 + 0.244752i 0.696754 0.717310i \(-0.254627\pi\)
−0.272832 + 0.962062i \(0.587960\pi\)
\(270\) 3.62900i 0.220854i
\(271\) 5.00226 18.6687i 0.303866 1.13404i −0.630052 0.776553i \(-0.716966\pi\)
0.933917 0.357489i \(-0.116367\pi\)
\(272\) −3.97221 −0.240851
\(273\) −8.83692 + 3.59289i −0.534835 + 0.217451i
\(274\) 1.65351 0.0998921
\(275\) 5.93470 22.1486i 0.357876 1.33561i
\(276\) 2.78426i 0.167593i
\(277\) −16.4813 9.51546i −0.990263 0.571728i −0.0849099 0.996389i \(-0.527060\pi\)
−0.905353 + 0.424660i \(0.860394\pi\)
\(278\) −2.28389 8.52358i −0.136978 0.511211i
\(279\) −9.26580 2.48276i −0.554729 0.148639i
\(280\) −3.37606 8.98830i −0.201758 0.537154i
\(281\) 6.31850 6.31850i 0.376930 0.376930i −0.493063 0.869993i \(-0.664123\pi\)
0.869993 + 0.493063i \(0.164123\pi\)
\(282\) −2.07947 −0.123831
\(283\) 28.7184 1.70713 0.853566 0.520985i \(-0.174435\pi\)
0.853566 + 0.520985i \(0.174435\pi\)
\(284\) 5.21569 5.21569i 0.309494 0.309494i
\(285\) −3.17701 + 5.50275i −0.188190 + 0.325955i
\(286\) 0.271797 + 10.1162i 0.0160717 + 0.598182i
\(287\) −8.83783 + 19.4707i −0.521681 + 1.14932i
\(288\) 0.965926 0.258819i 0.0569177 0.0152511i
\(289\) 0.610755 + 1.05786i 0.0359268 + 0.0622270i
\(290\) 8.78139 15.2098i 0.515661 0.893151i
\(291\) −4.00703 + 14.9544i −0.234896 + 0.876645i
\(292\) −3.85497 + 3.85497i −0.225595 + 0.225595i
\(293\) 5.51855 20.5955i 0.322397 1.20320i −0.594505 0.804092i \(-0.702652\pi\)
0.916903 0.399111i \(-0.130681\pi\)
\(294\) 0.467210 6.98439i 0.0272483 0.407338i
\(295\) −9.90962 17.1640i −0.576960 0.999324i
\(296\) −10.0693 + 5.81353i −0.585268 + 0.337905i
\(297\) 1.98466 + 1.98466i 0.115162 + 0.115162i
\(298\) −14.3694 + 8.29619i −0.832398 + 0.480585i
\(299\) −10.0352 + 0.269621i −0.580350 + 0.0155926i
\(300\) 8.16961i 0.471673i
\(301\) 5.89011 + 0.976528i 0.339500 + 0.0562861i
\(302\) −5.52759 + 9.57406i −0.318077 + 0.550925i
\(303\) 10.3382i 0.593912i
\(304\) 1.69124 + 0.453168i 0.0969995 + 0.0259909i
\(305\) −48.0077 + 12.8636i −2.74891 + 0.736569i
\(306\) 2.80878 + 2.80878i 0.160567 + 0.160567i
\(307\) −15.0865 15.0865i −0.861034 0.861034i 0.130424 0.991458i \(-0.458366\pi\)
−0.991458 + 0.130424i \(0.958366\pi\)
\(308\) −6.76194 3.06927i −0.385297 0.174888i
\(309\) 4.41323 + 2.54798i 0.251060 + 0.144950i
\(310\) −33.6256 9.00994i −1.90980 0.511730i
\(311\) 14.6633 + 25.3976i 0.831482 + 1.44017i 0.896863 + 0.442308i \(0.145840\pi\)
−0.0653816 + 0.997860i \(0.520826\pi\)
\(312\) −1.02639 3.45638i −0.0581077 0.195679i
\(313\) 20.0771 + 11.5915i 1.13483 + 0.655192i 0.945144 0.326654i \(-0.105921\pi\)
0.189682 + 0.981846i \(0.439254\pi\)
\(314\) −2.48374 9.26943i −0.140165 0.523104i
\(315\) −3.96845 + 8.74292i −0.223597 + 0.492608i
\(316\) 4.08603 2.35907i 0.229857 0.132708i
\(317\) −30.0906 + 8.06274i −1.69005 + 0.452849i −0.970404 0.241488i \(-0.922364\pi\)
−0.719650 + 0.694337i \(0.755698\pi\)
\(318\) −1.14647 4.27867i −0.0642906 0.239936i
\(319\) −3.51564 13.1205i −0.196838 0.734609i
\(320\) 3.50534 0.939253i 0.195955 0.0525059i
\(321\) −14.4036 + 8.31594i −0.803932 + 0.464150i
\(322\) 3.04470 6.70781i 0.169675 0.373811i
\(323\) 1.80008 + 6.71799i 0.100159 + 0.373799i
\(324\) −0.866025 0.500000i −0.0481125 0.0277778i
\(325\) 29.4453 0.791126i 1.63333 0.0438838i
\(326\) −9.89527 17.1391i −0.548048 0.949248i
\(327\) −0.625393 0.167574i −0.0345843 0.00926684i
\(328\) −6.99909 4.04093i −0.386460 0.223123i
\(329\) −5.00984 2.27399i −0.276201 0.125369i
\(330\) 7.20232 + 7.20232i 0.396475 + 0.396475i
\(331\) 0.593522 + 0.593522i 0.0326229 + 0.0326229i 0.723230 0.690607i \(-0.242657\pi\)
−0.690607 + 0.723230i \(0.742657\pi\)
\(332\) −6.22703 + 1.66853i −0.341753 + 0.0915724i
\(333\) 11.2309 + 3.00931i 0.615448 + 0.164909i
\(334\) 10.1393i 0.554798i
\(335\) −6.63333 + 11.4893i −0.362417 + 0.627725i
\(336\) 2.61012 + 0.432735i 0.142394 + 0.0236076i
\(337\) 21.7718i 1.18598i −0.805208 0.592992i \(-0.797947\pi\)
0.805208 0.592992i \(-0.202053\pi\)
\(338\) −12.3583 + 4.03406i −0.672200 + 0.219424i
\(339\) −1.92750 + 1.11284i −0.104687 + 0.0604412i
\(340\) 10.1931 + 10.1931i 0.552796 + 0.552796i
\(341\) −23.3169 + 13.4620i −1.26268 + 0.729010i
\(342\) −0.875453 1.51633i −0.0473391 0.0819937i
\(343\) 8.76330 16.3158i 0.473174 0.880969i
\(344\) −0.584061 + 2.17975i −0.0314905 + 0.117524i
\(345\) −7.14466 + 7.14466i −0.384656 + 0.384656i
\(346\) −4.44097 + 16.5739i −0.238748 + 0.891021i
\(347\) 3.32459 5.75836i 0.178473 0.309125i −0.762885 0.646535i \(-0.776218\pi\)
0.941358 + 0.337410i \(0.109551\pi\)
\(348\) 2.41978 + 4.19119i 0.129714 + 0.224671i
\(349\) 6.21010 1.66399i 0.332419 0.0890714i −0.0887491 0.996054i \(-0.528287\pi\)
0.421168 + 0.906983i \(0.361620\pi\)
\(350\) −8.93380 + 19.6821i −0.477531 + 1.05205i
\(351\) −1.71826 + 3.16979i −0.0917140 + 0.169191i
\(352\) 1.40337 2.43070i 0.0747997 0.129557i
\(353\) −15.7099 + 15.7099i −0.836152 + 0.836152i −0.988350 0.152198i \(-0.951365\pi\)
0.152198 + 0.988350i \(0.451365\pi\)
\(354\) 5.46135 0.290268
\(355\) −26.7678 −1.42069
\(356\) 2.30159 2.30159i 0.121984 0.121984i
\(357\) 3.69536 + 9.83838i 0.195579 + 0.520702i
\(358\) −14.5457 3.89751i −0.768765 0.205990i
\(359\) 0.506100 + 1.88879i 0.0267109 + 0.0996865i 0.977994 0.208631i \(-0.0669008\pi\)
−0.951284 + 0.308317i \(0.900234\pi\)
\(360\) −3.14280 1.81450i −0.165640 0.0956324i
\(361\) 15.9343i 0.838649i
\(362\) 6.31996 23.5864i 0.332170 1.23967i
\(363\) −3.12225 −0.163875
\(364\) 1.30693 9.44944i 0.0685016 0.495285i
\(365\) 19.7844 1.03556
\(366\) 3.54468 13.2289i 0.185283 0.691486i
\(367\) 16.6770i 0.870533i −0.900302 0.435267i \(-0.856654\pi\)
0.900302 0.435267i \(-0.143346\pi\)
\(368\) 2.41124 + 1.39213i 0.125695 + 0.0725699i
\(369\) 2.09174 + 7.80648i 0.108892 + 0.406389i
\(370\) 40.7568 + 10.9208i 2.11885 + 0.567743i
\(371\) 1.91685 11.5618i 0.0995177 0.600260i
\(372\) 6.78304 6.78304i 0.351684 0.351684i
\(373\) −12.4274 −0.643465 −0.321733 0.946831i \(-0.604265\pi\)
−0.321733 + 0.946831i \(0.604265\pi\)
\(374\) 11.1489 0.576498
\(375\) 8.13351 8.13351i 0.420012 0.420012i
\(376\) 1.03974 1.80088i 0.0536203 0.0928732i
\(377\) 14.8718 9.12737i 0.765935 0.470084i
\(378\) −1.53965 2.15163i −0.0791908 0.110668i
\(379\) 7.07722 1.89633i 0.363532 0.0974082i −0.0724291 0.997374i \(-0.523075\pi\)
0.435961 + 0.899965i \(0.356408\pi\)
\(380\) −3.17701 5.50275i −0.162977 0.282285i
\(381\) 2.34863 4.06795i 0.120324 0.208408i
\(382\) 1.01118 3.77376i 0.0517362 0.193082i
\(383\) 9.62294 9.62294i 0.491709 0.491709i −0.417135 0.908844i \(-0.636966\pi\)
0.908844 + 0.417135i \(0.136966\pi\)
\(384\) −0.258819 + 0.965926i −0.0132078 + 0.0492922i
\(385\) 9.47570 + 25.2278i 0.482927 + 1.28573i
\(386\) 8.80460 + 15.2500i 0.448142 + 0.776205i
\(387\) 1.95431 1.12832i 0.0993430 0.0573557i
\(388\) −10.9474 10.9474i −0.555771 0.555771i
\(389\) −4.45547 + 2.57237i −0.225901 + 0.130424i −0.608680 0.793416i \(-0.708301\pi\)
0.382778 + 0.923840i \(0.374967\pi\)
\(390\) −6.23556 + 11.5032i −0.315750 + 0.582485i
\(391\) 11.0597i 0.559313i
\(392\) 5.81505 + 3.89681i 0.293705 + 0.196819i
\(393\) −7.33214 + 12.6996i −0.369858 + 0.640612i
\(394\) 16.2429i 0.818306i
\(395\) −16.5387 4.43153i −0.832151 0.222974i
\(396\) −2.71110 + 0.726436i −0.136238 + 0.0365048i
\(397\) 9.55380 + 9.55380i 0.479491 + 0.479491i 0.904969 0.425478i \(-0.139894\pi\)
−0.425478 + 0.904969i \(0.639894\pi\)
\(398\) 17.6196 + 17.6196i 0.883191 + 0.883191i
\(399\) −0.450962 4.61046i −0.0225763 0.230812i
\(400\) −7.07509 4.08481i −0.353755 0.204240i
\(401\) 13.8999 + 3.72447i 0.694128 + 0.185991i 0.588599 0.808425i \(-0.299680\pi\)
0.105529 + 0.994416i \(0.466346\pi\)
\(402\) −1.82787 3.16596i −0.0911658 0.157904i
\(403\) −25.1046 23.7909i −1.25055 1.18511i
\(404\) 8.95311 + 5.16908i 0.445434 + 0.257171i
\(405\) 0.939253 + 3.50534i 0.0466719 + 0.174182i
\(406\) 1.24648 + 12.7435i 0.0618616 + 0.632448i
\(407\) 28.2619 16.3170i 1.40089 0.808805i
\(408\) −3.83686 + 1.02808i −0.189953 + 0.0508978i
\(409\) 5.94776 + 22.1974i 0.294098 + 1.09759i 0.941931 + 0.335806i \(0.109009\pi\)
−0.647833 + 0.761782i \(0.724325\pi\)
\(410\) 7.59091 + 28.3297i 0.374888 + 1.39910i
\(411\) 1.59717 0.427959i 0.0787824 0.0211097i
\(412\) −4.41323 + 2.54798i −0.217424 + 0.125530i
\(413\) 13.1574 + 5.97221i 0.647434 + 0.293873i
\(414\) −0.720620 2.68939i −0.0354166 0.132176i
\(415\) 20.2607 + 11.6975i 0.994559 + 0.574209i
\(416\) 3.50650 + 0.839311i 0.171920 + 0.0411506i
\(417\) −4.41213 7.64204i −0.216063 0.374232i
\(418\) −4.74687 1.27192i −0.232177 0.0622117i
\(419\) 28.1122 + 16.2306i 1.37337 + 0.792917i 0.991351 0.131236i \(-0.0418946\pi\)
0.382022 + 0.924153i \(0.375228\pi\)
\(420\) −5.58737 7.80824i −0.272636 0.381003i
\(421\) −17.5164 17.5164i −0.853695 0.853695i 0.136891 0.990586i \(-0.456289\pi\)
−0.990586 + 0.136891i \(0.956289\pi\)
\(422\) 17.7930 + 17.7930i 0.866150 + 0.866150i
\(423\) −2.00862 + 0.538208i −0.0976623 + 0.0261685i
\(424\) 4.27867 + 1.14647i 0.207791 + 0.0556773i
\(425\) 32.4515i 1.57413i
\(426\) 3.68805 6.38789i 0.178687 0.309494i
\(427\) 23.0061 27.9946i 1.11334 1.35476i
\(428\) 16.6319i 0.803932i
\(429\) 2.88079 + 9.70112i 0.139086 + 0.468375i
\(430\) 7.09217 4.09467i 0.342015 0.197462i
\(431\) −1.30293 1.30293i −0.0627599 0.0627599i 0.675030 0.737790i \(-0.264131\pi\)
−0.737790 + 0.675030i \(0.764131\pi\)
\(432\) 0.866025 0.500000i 0.0416667 0.0240563i
\(433\) 9.67519 + 16.7579i 0.464960 + 0.805335i 0.999200 0.0399985i \(-0.0127353\pi\)
−0.534240 + 0.845333i \(0.679402\pi\)
\(434\) 23.7591 8.92407i 1.14047 0.428369i
\(435\) 4.54558 16.9643i 0.217944 0.813378i
\(436\) 0.457819 0.457819i 0.0219256 0.0219256i
\(437\) 1.26174 4.70887i 0.0603571 0.225256i
\(438\) −2.72587 + 4.72135i −0.130247 + 0.225595i
\(439\) −12.2927 21.2916i −0.586698 1.01619i −0.994661 0.103192i \(-0.967094\pi\)
0.407963 0.912998i \(-0.366239\pi\)
\(440\) −9.83856 + 2.63623i −0.469035 + 0.125678i
\(441\) −1.35640 6.86733i −0.0645906 0.327016i
\(442\) 4.07703 + 13.7295i 0.193924 + 0.653044i
\(443\) 12.3604 21.4088i 0.587260 1.01716i −0.407330 0.913281i \(-0.633540\pi\)
0.994590 0.103883i \(-0.0331267\pi\)
\(444\) −8.22157 + 8.22157i −0.390179 + 0.390179i
\(445\) −11.8122 −0.559951
\(446\) 17.3828 0.823099
\(447\) −11.7326 + 11.7326i −0.554932 + 0.554932i
\(448\) −1.67982 + 2.04406i −0.0793641 + 0.0965730i
\(449\) 24.5873 + 6.58814i 1.16034 + 0.310913i 0.787104 0.616821i \(-0.211580\pi\)
0.373241 + 0.927734i \(0.378246\pi\)
\(450\) 2.11445 + 7.89124i 0.0996762 + 0.371997i
\(451\) 19.6446 + 11.3418i 0.925028 + 0.534065i
\(452\) 2.22568i 0.104687i
\(453\) −2.86129 + 10.6785i −0.134435 + 0.501719i
\(454\) 21.1054 0.990527
\(455\) −27.6018 + 20.8944i −1.29399 + 0.979545i
\(456\) 1.75091 0.0819937
\(457\) 1.36006 5.07581i 0.0636209 0.237436i −0.926792 0.375575i \(-0.877445\pi\)
0.990413 + 0.138139i \(0.0441119\pi\)
\(458\) 10.4222i 0.486996i
\(459\) 3.44004 + 1.98611i 0.160567 + 0.0927036i
\(460\) −2.61513 9.75979i −0.121931 0.455053i
\(461\) −0.174143 0.0466615i −0.00811065 0.00217324i 0.254761 0.967004i \(-0.418003\pi\)
−0.262872 + 0.964831i \(0.584670\pi\)
\(462\) −7.32592 1.21457i −0.340833 0.0565070i
\(463\) 3.43433 3.43433i 0.159607 0.159607i −0.622786 0.782393i \(-0.713999\pi\)
0.782393 + 0.622786i \(0.213999\pi\)
\(464\) −4.83957 −0.224671
\(465\) −34.8117 −1.61436
\(466\) −15.0113 + 15.0113i −0.695386 + 0.695386i
\(467\) −14.7088 + 25.4765i −0.680644 + 1.17891i 0.294141 + 0.955762i \(0.404967\pi\)
−0.974785 + 0.223148i \(0.928367\pi\)
\(468\) −1.88599 3.07295i −0.0871799 0.142047i
\(469\) −0.941569 9.62623i −0.0434776 0.444498i
\(470\) −7.28927 + 1.95315i −0.336229 + 0.0900922i
\(471\) −4.79821 8.31074i −0.221090 0.382939i
\(472\) −2.73068 + 4.72967i −0.125690 + 0.217701i
\(473\) 1.63930 6.11797i 0.0753753 0.281304i
\(474\) 3.33623 3.33623i 0.153238 0.153238i
\(475\) −3.70220 + 13.8168i −0.169869 + 0.633959i
\(476\) −10.3680 1.71892i −0.475215 0.0787864i
\(477\) −2.21480 3.83615i −0.101409 0.175645i
\(478\) 16.2078 9.35757i 0.741327 0.428005i
\(479\) 13.6690 + 13.6690i 0.624553 + 0.624553i 0.946692 0.322140i \(-0.104402\pi\)
−0.322140 + 0.946692i \(0.604402\pi\)
\(480\) 3.14280 1.81450i 0.143449 0.0828201i
\(481\) 30.4288 + 28.8365i 1.38743 + 1.31483i
\(482\) 17.9243i 0.816428i
\(483\) 1.20485 7.26727i 0.0548225 0.330672i
\(484\) 1.56112 2.70395i 0.0709602 0.122907i
\(485\) 56.1840i 2.55119i
\(486\) −0.965926 0.258819i −0.0438153 0.0117403i
\(487\) −33.7465 + 9.04234i −1.52920 + 0.409748i −0.922758 0.385381i \(-0.874070\pi\)
−0.606441 + 0.795128i \(0.707403\pi\)
\(488\) 9.68424 + 9.68424i 0.438385 + 0.438385i
\(489\) −13.9940 13.9940i −0.632832 0.632832i
\(490\) −4.92238 24.9215i −0.222370 1.12584i
\(491\) 8.91669 + 5.14805i 0.402404 + 0.232328i 0.687521 0.726165i \(-0.258699\pi\)
−0.285117 + 0.958493i \(0.592032\pi\)
\(492\) −7.80648 2.09174i −0.351943 0.0943029i
\(493\) −9.61190 16.6483i −0.432898 0.749802i
\(494\) −0.169553 6.31070i −0.00762857 0.283932i
\(495\) 8.82101 + 5.09281i 0.396475 + 0.228905i
\(496\) 2.48276 + 9.26580i 0.111479 + 0.416047i
\(497\) 15.8706 11.3566i 0.711894 0.509412i
\(498\) −5.58300 + 3.22335i −0.250180 + 0.144442i
\(499\) 15.3926 4.12442i 0.689065 0.184634i 0.102738 0.994708i \(-0.467240\pi\)
0.586328 + 0.810074i \(0.300573\pi\)
\(500\) 2.97707 + 11.1106i 0.133139 + 0.496880i
\(501\) −2.62425 9.79382i −0.117243 0.437556i
\(502\) 4.53006 1.21383i 0.202186 0.0541757i
\(503\) −13.8649 + 8.00489i −0.618205 + 0.356921i −0.776170 0.630524i \(-0.782840\pi\)
0.157965 + 0.987445i \(0.449507\pi\)
\(504\) 2.63318 0.257559i 0.117291 0.0114726i
\(505\) −9.71015 36.2388i −0.432096 1.61260i
\(506\) −6.76772 3.90734i −0.300862 0.173703i
\(507\) −10.8931 + 7.09515i −0.483778 + 0.315107i
\(508\) 2.34863 + 4.06795i 0.104204 + 0.180486i
\(509\) 12.8430 + 3.44126i 0.569254 + 0.152531i 0.531955 0.846773i \(-0.321458\pi\)
0.0372997 + 0.999304i \(0.488124\pi\)
\(510\) 12.4839 + 7.20758i 0.552796 + 0.319157i
\(511\) −11.7301 + 8.39376i −0.518910 + 0.371318i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −1.23808 1.23808i −0.0546624 0.0546624i
\(514\) 10.1563 2.72136i 0.447974 0.120034i
\(515\) 17.8631 + 4.78640i 0.787141 + 0.210914i
\(516\) 2.25664i 0.0993430i
\(517\) −2.91826 + 5.05458i −0.128345 + 0.222300i
\(518\) −28.7979 + 10.8167i −1.26531 + 0.475257i
\(519\) 17.1586i 0.753179i
\(520\) −6.84425 11.1517i −0.300140 0.489036i
\(521\) 16.2369 9.37438i 0.711351 0.410699i −0.100210 0.994966i \(-0.531951\pi\)
0.811561 + 0.584267i \(0.198618\pi\)
\(522\) 3.42209 + 3.42209i 0.149781 + 0.149781i
\(523\) 4.34272 2.50727i 0.189894 0.109635i −0.402039 0.915622i \(-0.631698\pi\)
0.591933 + 0.805987i \(0.298365\pi\)
\(524\) −7.33214 12.6996i −0.320306 0.554787i
\(525\) −3.53528 + 21.3237i −0.154292 + 0.930642i
\(526\) −1.29865 + 4.84664i −0.0566240 + 0.211324i
\(527\) −26.9437 + 26.9437i −1.17369 + 1.17369i
\(528\) 0.726436 2.71110i 0.0316141 0.117985i
\(529\) −7.62394 + 13.2050i −0.331476 + 0.574133i
\(530\) −8.03751 13.9214i −0.349127 0.604706i
\(531\) 5.27526 1.41350i 0.228927 0.0613408i
\(532\) 4.21825 + 1.91468i 0.182885 + 0.0830121i
\(533\) −6.78319 + 28.3391i −0.293813 + 1.22750i
\(534\) 1.62747 2.81886i 0.0704276 0.121984i
\(535\) −42.6789 + 42.6789i −1.84517 + 1.84517i
\(536\) 3.65574 0.157904
\(537\) −15.0588 −0.649837
\(538\) −5.67698 + 5.67698i −0.244752 + 0.244752i
\(539\) −16.3213 10.9373i −0.703009 0.471103i
\(540\) −3.50534 0.939253i −0.150846 0.0404190i
\(541\) 2.27108 + 8.47577i 0.0976412 + 0.364402i 0.997407 0.0719719i \(-0.0229292\pi\)
−0.899765 + 0.436374i \(0.856263\pi\)
\(542\) 16.7379 + 9.66362i 0.718954 + 0.415088i
\(543\) 24.4184i 1.04790i
\(544\) 1.02808 3.83686i 0.0440788 0.164504i
\(545\) −2.34961 −0.100646
\(546\) −1.18330 9.46572i −0.0506406 0.405095i
\(547\) −27.2919 −1.16692 −0.583459 0.812143i \(-0.698301\pi\)
−0.583459 + 0.812143i \(0.698301\pi\)
\(548\) −0.427959 + 1.59717i −0.0182815 + 0.0682276i
\(549\) 13.6956i 0.584513i
\(550\) 19.8579 + 11.4650i 0.846744 + 0.488868i
\(551\) 2.19314 + 8.18489i 0.0934307 + 0.348688i
\(552\) 2.68939 + 0.720620i 0.114468 + 0.0306716i
\(553\) 11.6859 4.38929i 0.496934 0.186652i
\(554\) 13.4569 13.4569i 0.571728 0.571728i
\(555\) 42.1946 1.79106
\(556\) 8.82426 0.374232
\(557\) 30.4514 30.4514i 1.29027 1.29027i 0.355649 0.934619i \(-0.384260\pi\)
0.934619 0.355649i \(-0.115740\pi\)
\(558\) 4.79633 8.30749i 0.203045 0.351684i
\(559\) 8.13350 0.218528i 0.344010 0.00924273i
\(560\) 9.55582 0.934682i 0.403807 0.0394975i
\(561\) 10.7691 2.88556i 0.454670 0.121828i
\(562\) 4.46785 + 7.73855i 0.188465 + 0.326431i
\(563\) 19.2908 33.4126i 0.813009 1.40817i −0.0977392 0.995212i \(-0.531161\pi\)
0.910749 0.412961i \(-0.135506\pi\)
\(564\) 0.538208 2.00862i 0.0226626 0.0845781i
\(565\) −5.71130 + 5.71130i −0.240276 + 0.240276i
\(566\) −7.43287 + 27.7398i −0.312427 + 1.16599i
\(567\) −2.04406 1.67982i −0.0858427 0.0705459i
\(568\) 3.68805 + 6.38789i 0.154747 + 0.268030i
\(569\) −12.3303 + 7.11890i −0.516913 + 0.298440i −0.735671 0.677339i \(-0.763133\pi\)
0.218758 + 0.975779i \(0.429800\pi\)
\(570\) −4.49298 4.49298i −0.188190 0.188190i
\(571\) −0.320357 + 0.184958i −0.0134065 + 0.00774025i −0.506688 0.862129i \(-0.669130\pi\)
0.493282 + 0.869870i \(0.335797\pi\)
\(572\) −9.84182 2.35572i −0.411507 0.0984977i
\(573\) 3.90688i 0.163212i
\(574\) −16.5198 13.5761i −0.689525 0.566654i
\(575\) −11.3732 + 19.6989i −0.474294 + 0.821502i
\(576\) 1.00000i 0.0416667i
\(577\) 14.6550 + 3.92680i 0.610097 + 0.163475i 0.550622 0.834755i \(-0.314391\pi\)
0.0594750 + 0.998230i \(0.481057\pi\)
\(578\) −1.17989 + 0.316150i −0.0490769 + 0.0131501i
\(579\) 12.4516 + 12.4516i 0.517470 + 0.517470i
\(580\) 12.4188 + 12.4188i 0.515661 + 0.515661i
\(581\) −16.9753 + 1.66041i −0.704256 + 0.0688853i
\(582\) −13.4078 7.74099i −0.555771 0.320874i
\(583\) −12.0091 3.21783i −0.497366 0.133269i
\(584\) −2.72587 4.72135i −0.112797 0.195371i
\(585\) −3.04586 + 12.7251i −0.125931 + 0.526117i
\(586\) 18.4654 + 10.6610i 0.762800 + 0.440403i
\(587\) −0.548765 2.04802i −0.0226499 0.0845307i 0.953676 0.300837i \(-0.0972659\pi\)
−0.976326 + 0.216306i \(0.930599\pi\)
\(588\) 6.62548 + 2.25898i 0.273230 + 0.0931589i
\(589\) 14.5456 8.39793i 0.599342 0.346030i
\(590\) 19.1439 5.12959i 0.788142 0.211182i
\(591\) −4.20397 15.6894i −0.172928 0.645377i
\(592\) −3.00931 11.2309i −0.123682 0.461586i
\(593\) −24.5618 + 6.58130i −1.00863 + 0.270262i −0.725057 0.688689i \(-0.758187\pi\)
−0.283573 + 0.958951i \(0.591520\pi\)
\(594\) −2.43070 + 1.40337i −0.0997329 + 0.0575808i
\(595\) 22.1942 + 31.0160i 0.909874 + 1.27153i
\(596\) −4.29442 16.0270i −0.175906 0.656492i
\(597\) 21.5795 + 12.4589i 0.883191 + 0.509911i
\(598\) 2.33686 9.76303i 0.0955614 0.399240i
\(599\) 8.48442 + 14.6954i 0.346664 + 0.600440i 0.985655 0.168775i \(-0.0539811\pi\)
−0.638991 + 0.769215i \(0.720648\pi\)
\(600\) −7.89124 2.11445i −0.322159 0.0863221i
\(601\) 30.9667 + 17.8786i 1.26316 + 0.729284i 0.973684 0.227903i \(-0.0731868\pi\)
0.289472 + 0.957186i \(0.406520\pi\)
\(602\) −2.46773 + 5.43666i −0.100577 + 0.221582i
\(603\) −2.58500 2.58500i −0.105269 0.105269i
\(604\) −7.81719 7.81719i −0.318077 0.318077i
\(605\) −10.9445 + 2.93258i −0.444959 + 0.119226i
\(606\) 9.98589 + 2.67571i 0.405649 + 0.108693i
\(607\) 25.3609i 1.02937i 0.857380 + 0.514685i \(0.172091\pi\)
−0.857380 + 0.514685i \(0.827909\pi\)
\(608\) −0.875453 + 1.51633i −0.0355043 + 0.0614952i
\(609\) 4.50226 + 11.9866i 0.182441 + 0.485723i
\(610\) 49.7012i 2.01234i
\(611\) −7.29168 1.74533i −0.294990 0.0706083i
\(612\) −3.44004 + 1.98611i −0.139055 + 0.0802836i
\(613\) −16.7659 16.7659i −0.677168 0.677168i 0.282191 0.959358i \(-0.408939\pi\)
−0.959358 + 0.282191i \(0.908939\pi\)
\(614\) 18.4772 10.6678i 0.745677 0.430517i
\(615\) 14.6645 + 25.3997i 0.591330 + 1.02421i
\(616\) 4.71481 5.73715i 0.189965 0.231156i
\(617\) −2.21727 + 8.27497i −0.0892639 + 0.333138i −0.996087 0.0883729i \(-0.971833\pi\)
0.906824 + 0.421511i \(0.138500\pi\)
\(618\) −3.60339 + 3.60339i −0.144950 + 0.144950i
\(619\) 6.58689 24.5826i 0.264749 0.988058i −0.697654 0.716435i \(-0.745773\pi\)
0.962404 0.271624i \(-0.0875606\pi\)
\(620\) 17.4059 30.1479i 0.699037 1.21077i
\(621\) −1.39213 2.41124i −0.0558643 0.0967598i
\(622\) −28.3274 + 7.59030i −1.13582 + 0.304343i
\(623\) 7.00342 5.01146i 0.280586 0.200780i
\(624\) 3.60425 0.0968376i 0.144285 0.00387661i
\(625\) 0.447257 0.774672i 0.0178903 0.0309869i
\(626\) −16.3929 + 16.3929i −0.655192 + 0.655192i
\(627\) −4.91432 −0.196259
\(628\) 9.59642 0.382939
\(629\) 32.6579 32.6579i 1.30215 1.30215i
\(630\) −7.41790 6.09606i −0.295536 0.242873i
\(631\) −16.9334 4.53729i −0.674108 0.180627i −0.0945035 0.995525i \(-0.530126\pi\)
−0.579605 + 0.814898i \(0.696793\pi\)
\(632\) 1.22114 + 4.55737i 0.0485745 + 0.181282i
\(633\) 21.7919 + 12.5816i 0.866150 + 0.500072i
\(634\) 31.1520i 1.23721i
\(635\) 4.41192 16.4655i 0.175082 0.653414i
\(636\) 4.42961 0.175645
\(637\) 7.50035 24.0986i 0.297175 0.954823i
\(638\) 13.5834 0.537771
\(639\) 1.90908 7.12477i 0.0755219 0.281851i
\(640\) 3.62900i 0.143449i
\(641\) −34.4564 19.8934i −1.36095 0.785743i −0.371196 0.928554i \(-0.621052\pi\)
−0.989750 + 0.142812i \(0.954386\pi\)
\(642\) −4.30465 16.0652i −0.169891 0.634041i
\(643\) 19.5278 + 5.23247i 0.770103 + 0.206348i 0.622417 0.782686i \(-0.286151\pi\)
0.147686 + 0.989034i \(0.452818\pi\)
\(644\) 5.69122 + 4.67706i 0.224265 + 0.184302i
\(645\) 5.79074 5.79074i 0.228010 0.228010i
\(646\) −6.95497 −0.273640
\(647\) −45.1014 −1.77312 −0.886560 0.462614i \(-0.846912\pi\)
−0.886560 + 0.462614i \(0.846912\pi\)
\(648\) 0.707107 0.707107i 0.0277778 0.0277778i
\(649\) 7.66428 13.2749i 0.300849 0.521086i
\(650\) −6.85684 + 28.6468i −0.268948 + 1.12362i
\(651\) 20.6398 14.7693i 0.808938 0.578855i
\(652\) 19.1162 5.12217i 0.748648 0.200600i
\(653\) −0.247860 0.429306i −0.00969950 0.0168000i 0.861135 0.508376i \(-0.169754\pi\)
−0.870834 + 0.491576i \(0.836421\pi\)
\(654\) 0.323727 0.560712i 0.0126587 0.0219256i
\(655\) −13.7735 + 51.4033i −0.538175 + 2.00849i
\(656\) 5.71474 5.71474i 0.223123 0.223123i
\(657\) −1.41102 + 5.26598i −0.0550490 + 0.205446i
\(658\) 3.49314 4.25058i 0.136177 0.165705i
\(659\) 12.2364 + 21.1940i 0.476661 + 0.825600i 0.999642 0.0267435i \(-0.00851374\pi\)
−0.522982 + 0.852344i \(0.675180\pi\)
\(660\) −8.82101 + 5.09281i −0.343357 + 0.198237i
\(661\) 13.2866 + 13.2866i 0.516787 + 0.516787i 0.916598 0.399811i \(-0.130924\pi\)
−0.399811 + 0.916598i \(0.630924\pi\)
\(662\) −0.726913 + 0.419684i −0.0282523 + 0.0163115i
\(663\) 7.49155 + 12.2064i 0.290948 + 0.474059i
\(664\) 6.44670i 0.250180i
\(665\) −5.91116 15.7377i −0.229225 0.610280i
\(666\) −5.81353 + 10.0693i −0.225270 + 0.390179i
\(667\) 13.4746i 0.521740i
\(668\) 9.79382 + 2.62425i 0.378934 + 0.101535i
\(669\) 16.7905 4.49900i 0.649158 0.173941i
\(670\) −9.38094 9.38094i −0.362417 0.362417i
\(671\) −27.1811 27.1811i −1.04931 1.04931i
\(672\) −1.09354 + 2.40918i −0.0421842 + 0.0929363i
\(673\) 11.8135 + 6.82054i 0.455378 + 0.262912i 0.710099 0.704102i \(-0.248650\pi\)
−0.254721 + 0.967015i \(0.581984\pi\)
\(674\) 21.0299 + 5.63495i 0.810042 + 0.217050i
\(675\) 4.08481 + 7.07509i 0.157224 + 0.272320i
\(676\) −0.698054 12.9812i −0.0268482 0.499279i
\(677\) −40.7614 23.5336i −1.56659 0.904471i −0.996562 0.0828450i \(-0.973599\pi\)
−0.570027 0.821626i \(-0.693067\pi\)
\(678\) −0.576049 2.14984i −0.0221230 0.0825643i
\(679\) −23.8368 33.3114i −0.914771 1.27837i
\(680\) −12.4839 + 7.20758i −0.478735 + 0.276398i
\(681\) 20.3863 5.46249i 0.781204 0.209323i
\(682\) −6.96846 26.0066i −0.266836 0.995846i
\(683\) −2.38126 8.88698i −0.0911164 0.340051i 0.905286 0.424803i \(-0.139657\pi\)
−0.996402 + 0.0847524i \(0.972990\pi\)
\(684\) 1.69124 0.453168i 0.0646664 0.0173273i
\(685\) 5.19665 3.00029i 0.198554 0.114635i
\(686\) 13.4917 + 12.6875i 0.515116 + 0.484412i
\(687\) 2.69746 + 10.0670i 0.102914 + 0.384082i
\(688\) −1.95431 1.12832i −0.0745073 0.0430168i
\(689\) −0.428952 15.9654i −0.0163418 0.608234i
\(690\) −5.05204 8.75039i −0.192328 0.333122i
\(691\) −2.56542 0.687401i −0.0975930 0.0261500i 0.209692 0.977767i \(-0.432754\pi\)
−0.307285 + 0.951618i \(0.599421\pi\)
\(692\) −14.8598 8.57930i −0.564884 0.326136i
\(693\) −7.39065 + 0.722900i −0.280748 + 0.0274607i
\(694\) 4.70168 + 4.70168i 0.178473 + 0.178473i
\(695\) −22.6438 22.6438i −0.858930 0.858930i
\(696\) −4.67466 + 1.25257i −0.177193 + 0.0474786i
\(697\) 31.0090 + 8.30884i 1.17455 + 0.314720i
\(698\) 6.42917i 0.243348i
\(699\) −10.6146 + 18.3850i −0.401481 + 0.695386i
\(700\) −16.6992 13.7235i −0.631171 0.518699i
\(701\) 27.9693i 1.05638i −0.849125 0.528192i \(-0.822870\pi\)
0.849125 0.528192i \(-0.177130\pi\)
\(702\) −2.61706 2.48012i −0.0987747 0.0936059i
\(703\) −17.6304 + 10.1789i −0.664945 + 0.383906i
\(704\) 1.98466 + 1.98466i 0.0747997 + 0.0747997i
\(705\) −6.53538 + 3.77320i −0.246137 + 0.142107i
\(706\) −11.1086 19.2406i −0.418076 0.724129i
\(707\) 21.1319 + 17.3663i 0.794745 + 0.653125i
\(708\) −1.41350 + 5.27526i −0.0531227 + 0.198257i
\(709\) −14.3488 + 14.3488i −0.538882 + 0.538882i −0.923201 0.384318i \(-0.874437\pi\)
0.384318 + 0.923201i \(0.374437\pi\)
\(710\) 6.92803 25.8558i 0.260004 0.970349i
\(711\) 2.35907 4.08603i 0.0884720 0.153238i
\(712\) 1.62747 + 2.81886i 0.0609921 + 0.105641i
\(713\) 25.7984 6.91267i 0.966159 0.258882i
\(714\) −10.4596 + 1.02308i −0.391440 + 0.0382878i
\(715\) 19.2100 + 31.3000i 0.718412 + 1.17055i
\(716\) 7.52942 13.0413i 0.281388 0.487378i
\(717\) 13.2336 13.2336i 0.494218 0.494218i
\(718\) −1.95542 −0.0729756
\(719\) 14.8966 0.555551 0.277775 0.960646i \(-0.410403\pi\)
0.277775 + 0.960646i \(0.410403\pi\)
\(720\) 2.56609 2.56609i 0.0956324 0.0956324i
\(721\) −12.6217 + 4.74078i −0.470056 + 0.176556i
\(722\) −15.3914 4.12411i −0.572808 0.153483i
\(723\) −4.63914 17.3135i −0.172532 0.643897i
\(724\) 21.1470 + 12.2092i 0.785922 + 0.453752i
\(725\) 39.5374i 1.46838i
\(726\) 0.808097 3.01586i 0.0299913 0.111929i
\(727\) −19.1877 −0.711634 −0.355817 0.934556i \(-0.615797\pi\)
−0.355817 + 0.934556i \(0.615797\pi\)
\(728\) 8.78920 + 3.70809i 0.325749 + 0.137431i
\(729\) −1.00000 −0.0370370
\(730\) −5.12057 + 19.1102i −0.189521 + 0.707302i
\(731\) 8.96386i 0.331540i
\(732\) 11.8607 + 6.84779i 0.438385 + 0.253102i
\(733\) 10.4539 + 39.0143i 0.386122 + 1.44103i 0.836390 + 0.548134i \(0.184662\pi\)
−0.450268 + 0.892893i \(0.648672\pi\)
\(734\) 16.1088 + 4.31633i 0.594585 + 0.159319i
\(735\) −11.2048 22.7983i −0.413296 0.840929i
\(736\) −1.96877 + 1.96877i −0.0725699 + 0.0725699i
\(737\) −10.2607 −0.377957
\(738\) −8.08186 −0.297497
\(739\) −9.27480 + 9.27480i −0.341179 + 0.341179i −0.856811 0.515631i \(-0.827557\pi\)
0.515631 + 0.856811i \(0.327557\pi\)
\(740\) −21.0973 + 36.5416i −0.775552 + 1.34329i
\(741\) −1.79711 6.05179i −0.0660183 0.222318i
\(742\) 10.6717 + 4.84395i 0.391772 + 0.177827i
\(743\) 16.2452 4.35289i 0.595979 0.159692i 0.0517945 0.998658i \(-0.483506\pi\)
0.544184 + 0.838966i \(0.316839\pi\)
\(744\) 4.79633 + 8.30749i 0.175842 + 0.304567i
\(745\) −30.1068 + 52.1466i −1.10303 + 1.91050i
\(746\) 3.21644 12.0039i 0.117762 0.439495i
\(747\) −4.55850 + 4.55850i −0.166787 + 0.166787i
\(748\) −2.88556 + 10.7691i −0.105507 + 0.393756i
\(749\) 7.19720 43.4112i 0.262980 1.58621i
\(750\) 5.75126 + 9.96147i 0.210006 + 0.363741i
\(751\) −6.65583 + 3.84274i −0.242875 + 0.140224i −0.616497 0.787357i \(-0.711449\pi\)
0.373623 + 0.927581i \(0.378116\pi\)
\(752\) 1.47041 + 1.47041i 0.0536203 + 0.0536203i
\(753\) 4.06154 2.34493i 0.148011 0.0854540i
\(754\) 4.96727 + 16.7274i 0.180897 + 0.609175i
\(755\) 40.1192i 1.46009i
\(756\) 2.47680 0.930302i 0.0900803 0.0338347i
\(757\) −0.600662 + 1.04038i −0.0218314 + 0.0378131i −0.876735 0.480974i \(-0.840283\pi\)
0.854903 + 0.518787i \(0.173616\pi\)
\(758\) 7.32687i 0.266124i
\(759\) −7.54841 2.02259i −0.273990 0.0734153i
\(760\) 6.13752 1.64454i 0.222631 0.0596539i
\(761\) −23.7947 23.7947i −0.862558 0.862558i 0.129076 0.991635i \(-0.458799\pi\)
−0.991635 + 0.129076i \(0.958799\pi\)
\(762\) 3.32147 + 3.32147i 0.120324 + 0.120324i
\(763\) 1.39308 0.996850i 0.0504329 0.0360884i
\(764\) 3.38346 + 1.95344i 0.122409 + 0.0706730i
\(765\) 13.9240 + 3.73092i 0.503422 + 0.134892i
\(766\) 6.80444 + 11.7856i 0.245855 + 0.425833i
\(767\) 19.1502 + 4.58377i 0.691475 + 0.165510i
\(768\) −0.866025 0.500000i −0.0312500 0.0180422i
\(769\) −9.90694 36.9732i −0.357253 1.33329i −0.877625 0.479348i \(-0.840873\pi\)
0.520371 0.853940i \(-0.325793\pi\)
\(770\) −26.8206 + 2.62340i −0.966549 + 0.0945409i
\(771\) 9.10586 5.25727i 0.327939 0.189336i
\(772\) −17.0092 + 4.55759i −0.612174 + 0.164031i
\(773\) 3.89829 + 14.5486i 0.140212 + 0.523277i 0.999922 + 0.0124952i \(0.00397744\pi\)
−0.859710 + 0.510782i \(0.829356\pi\)
\(774\) 0.584061 +