Properties

Label 150.2.l.a.23.4
Level 150
Weight 2
Character 150.23
Analytic conductor 1.198
Analytic rank 0
Dimension 80
CM No

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.l (of order \(20\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 23.4
Character \(\chi\) = 150.23
Dual form 150.2.l.a.137.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.987688 - 0.156434i) q^{2} +(1.10553 + 1.33334i) q^{3} +(0.951057 + 0.309017i) q^{4} +(-0.334535 - 2.21090i) q^{5} +(-0.883341 - 1.48987i) q^{6} +(2.78015 - 2.78015i) q^{7} +(-0.891007 - 0.453990i) q^{8} +(-0.555594 + 2.94810i) q^{9} +O(q^{10})\) \(q+(-0.987688 - 0.156434i) q^{2} +(1.10553 + 1.33334i) q^{3} +(0.951057 + 0.309017i) q^{4} +(-0.334535 - 2.21090i) q^{5} +(-0.883341 - 1.48987i) q^{6} +(2.78015 - 2.78015i) q^{7} +(-0.891007 - 0.453990i) q^{8} +(-0.555594 + 2.94810i) q^{9} +(-0.0154450 + 2.23601i) q^{10} +(2.08133 + 2.86470i) q^{11} +(0.639399 + 1.60971i) q^{12} +(0.331962 + 2.09592i) q^{13} +(-3.18083 + 2.31101i) q^{14} +(2.57805 - 2.89027i) q^{15} +(0.809017 + 0.587785i) q^{16} +(0.476073 - 0.934346i) q^{17} +(1.00994 - 2.82489i) q^{18} +(-4.71987 + 1.53358i) q^{19} +(0.365045 - 2.20607i) q^{20} +(6.78043 + 0.633339i) q^{21} +(-1.60756 - 3.15502i) q^{22} +(1.22065 - 7.70688i) q^{23} +(-0.379713 - 1.68992i) q^{24} +(-4.77617 + 1.47925i) q^{25} -2.12205i q^{26} +(-4.54505 + 2.51843i) q^{27} +(3.50319 - 1.78496i) q^{28} +(-0.858514 + 2.64223i) q^{29} +(-2.99844 + 2.45139i) q^{30} +(0.458925 + 1.41243i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-1.51865 + 5.94214i) q^{33} +(-0.616376 + 0.848368i) q^{34} +(-7.07669 - 5.21658i) q^{35} +(-1.43942 + 2.63213i) q^{36} +(-1.07161 + 0.169727i) q^{37} +(4.90167 - 0.776348i) q^{38} +(-2.42758 + 2.75973i) q^{39} +(-0.705656 + 2.12180i) q^{40} +(-0.691749 + 0.952111i) q^{41} +(-6.59787 - 1.68623i) q^{42} +(-8.25027 - 8.25027i) q^{43} +(1.09422 + 3.36766i) q^{44} +(6.70383 + 0.242121i) q^{45} +(-2.41124 + 7.42105i) q^{46} +(-10.2948 + 5.24545i) q^{47} +(0.110677 + 1.72851i) q^{48} -8.45844i q^{49} +(4.94878 - 0.713878i) q^{50} +(1.77212 - 0.398183i) q^{51} +(-0.331962 + 2.09592i) q^{52} +(1.93475 + 3.79716i) q^{53} +(4.88307 - 1.77642i) q^{54} +(5.63730 - 5.55995i) q^{55} +(-3.73929 + 1.21497i) q^{56} +(-7.26276 - 4.59778i) q^{57} +(1.26128 - 2.47540i) q^{58} +(5.11067 + 3.71312i) q^{59} +(3.34501 - 1.95215i) q^{60} +(1.09310 - 0.794185i) q^{61} +(-0.232323 - 1.46683i) q^{62} +(6.65153 + 9.74080i) q^{63} +(0.587785 + 0.809017i) q^{64} +(4.52283 - 1.43509i) q^{65} +(2.42950 - 5.63141i) q^{66} +(8.29150 + 4.22473i) q^{67} +(0.741501 - 0.741501i) q^{68} +(11.6254 - 6.89267i) q^{69} +(6.17351 + 6.25939i) q^{70} +(-2.47790 - 0.805120i) q^{71} +(1.83345 - 2.37455i) q^{72} +(8.82492 + 1.39773i) q^{73} +1.08497 q^{74} +(-7.25256 - 4.73291i) q^{75} -4.96277 q^{76} +(13.7507 + 2.17789i) q^{77} +(2.82941 - 2.34599i) q^{78} +(-14.4405 - 4.69199i) q^{79} +(1.02889 - 1.98529i) q^{80} +(-8.38263 - 3.27590i) q^{81} +(0.832175 - 0.832175i) q^{82} +(-9.56823 - 4.87526i) q^{83} +(6.25286 + 2.69761i) q^{84} +(-2.22501 - 0.739979i) q^{85} +(6.85807 + 9.43932i) q^{86} +(-4.47211 + 1.77638i) q^{87} +(-0.553929 - 3.49737i) q^{88} +(-2.14121 + 1.55568i) q^{89} +(-6.58342 - 1.28785i) q^{90} +(6.74988 + 4.90407i) q^{91} +(3.54247 - 6.95248i) q^{92} +(-1.37589 + 2.17339i) q^{93} +(10.9886 - 3.57041i) q^{94} +(4.96956 + 9.92214i) q^{95} +(0.161084 - 1.72454i) q^{96} +(7.23583 + 14.2011i) q^{97} +(-1.32319 + 8.35430i) q^{98} +(-9.60181 + 4.54436i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{3} + 4q^{7} + O(q^{10}) \) \( 80q + 4q^{3} + 4q^{7} - 4q^{10} - 4q^{12} - 8q^{15} + 20q^{16} - 8q^{18} - 40q^{19} - 36q^{22} - 104q^{25} + 4q^{27} - 16q^{28} + 12q^{30} + 4q^{33} - 40q^{34} - 24q^{37} - 40q^{39} - 8q^{40} - 4q^{42} - 24q^{43} - 72q^{45} - 4q^{48} - 12q^{55} - 64q^{57} + 20q^{58} + 24q^{60} + 64q^{63} + 96q^{67} + 140q^{69} + 76q^{70} + 8q^{72} + 100q^{73} + 132q^{75} + 100q^{78} + 80q^{79} - 40q^{81} + 96q^{82} + 60q^{84} + 32q^{85} + 80q^{87} + 4q^{88} + 52q^{90} + 12q^{93} - 32q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.987688 0.156434i −0.698401 0.110616i
\(3\) 1.10553 + 1.33334i 0.638280 + 0.769805i
\(4\) 0.951057 + 0.309017i 0.475528 + 0.154508i
\(5\) −0.334535 2.21090i −0.149609 0.988745i
\(6\) −0.883341 1.48987i −0.360623 0.608236i
\(7\) 2.78015 2.78015i 1.05080 1.05080i 0.0521581 0.998639i \(-0.483390\pi\)
0.998639 0.0521581i \(-0.0166100\pi\)
\(8\) −0.891007 0.453990i −0.315018 0.160510i
\(9\) −0.555594 + 2.94810i −0.185198 + 0.982701i
\(10\) −0.0154450 + 2.23601i −0.00488414 + 0.707090i
\(11\) 2.08133 + 2.86470i 0.627544 + 0.863740i 0.997875 0.0651600i \(-0.0207558\pi\)
−0.370331 + 0.928900i \(0.620756\pi\)
\(12\) 0.639399 + 1.60971i 0.184579 + 0.464683i
\(13\) 0.331962 + 2.09592i 0.0920696 + 0.581304i 0.989989 + 0.141144i \(0.0450782\pi\)
−0.897919 + 0.440160i \(0.854922\pi\)
\(14\) −3.18083 + 2.31101i −0.850113 + 0.617643i
\(15\) 2.57805 2.89027i 0.665649 0.746265i
\(16\) 0.809017 + 0.587785i 0.202254 + 0.146946i
\(17\) 0.476073 0.934346i 0.115465 0.226612i −0.826040 0.563611i \(-0.809412\pi\)
0.941505 + 0.336999i \(0.109412\pi\)
\(18\) 1.00994 2.82489i 0.238045 0.665834i
\(19\) −4.71987 + 1.53358i −1.08281 + 0.351827i −0.795465 0.605999i \(-0.792774\pi\)
−0.287348 + 0.957826i \(0.592774\pi\)
\(20\) 0.365045 2.20607i 0.0816265 0.493292i
\(21\) 6.78043 + 0.633339i 1.47961 + 0.138206i
\(22\) −1.60756 3.15502i −0.342734 0.672653i
\(23\) 1.22065 7.70688i 0.254523 1.60700i −0.447124 0.894472i \(-0.647552\pi\)
0.701647 0.712524i \(-0.252448\pi\)
\(24\) −0.379713 1.68992i −0.0775086 0.344953i
\(25\) −4.77617 + 1.47925i −0.955235 + 0.295850i
\(26\) 2.12205i 0.416168i
\(27\) −4.54505 + 2.51843i −0.874696 + 0.484672i
\(28\) 3.50319 1.78496i 0.662041 0.337327i
\(29\) −0.858514 + 2.64223i −0.159422 + 0.490650i −0.998582 0.0532341i \(-0.983047\pi\)
0.839160 + 0.543885i \(0.183047\pi\)
\(30\) −2.99844 + 2.45139i −0.547438 + 0.447561i
\(31\) 0.458925 + 1.41243i 0.0824253 + 0.253679i 0.983773 0.179417i \(-0.0574211\pi\)
−0.901348 + 0.433096i \(0.857421\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) −1.51865 + 5.94214i −0.264362 + 1.03439i
\(34\) −0.616376 + 0.848368i −0.105708 + 0.145494i
\(35\) −7.07669 5.21658i −1.19618 0.881762i
\(36\) −1.43942 + 2.63213i −0.239903 + 0.438688i
\(37\) −1.07161 + 0.169727i −0.176172 + 0.0279030i −0.243897 0.969801i \(-0.578426\pi\)
0.0677249 + 0.997704i \(0.478426\pi\)
\(38\) 4.90167 0.776348i 0.795156 0.125940i
\(39\) −2.42758 + 2.75973i −0.388725 + 0.441910i
\(40\) −0.705656 + 2.12180i −0.111574 + 0.335487i
\(41\) −0.691749 + 0.952111i −0.108033 + 0.148695i −0.859610 0.510951i \(-0.829293\pi\)
0.751577 + 0.659645i \(0.229293\pi\)
\(42\) −6.59787 1.68623i −1.01807 0.260192i
\(43\) −8.25027 8.25027i −1.25815 1.25815i −0.951973 0.306181i \(-0.900949\pi\)
−0.306181 0.951973i \(-0.599051\pi\)
\(44\) 1.09422 + 3.36766i 0.164960 + 0.507694i
\(45\) 6.70383 + 0.242121i 0.999348 + 0.0360933i
\(46\) −2.41124 + 7.42105i −0.355519 + 1.09417i
\(47\) −10.2948 + 5.24545i −1.50165 + 0.765127i −0.995266 0.0971836i \(-0.969017\pi\)
−0.506380 + 0.862311i \(0.669017\pi\)
\(48\) 0.110677 + 1.72851i 0.0159748 + 0.249489i
\(49\) 8.45844i 1.20835i
\(50\) 4.94878 0.713878i 0.699863 0.100958i
\(51\) 1.77212 0.398183i 0.248146 0.0557567i
\(52\) −0.331962 + 2.09592i −0.0460348 + 0.290652i
\(53\) 1.93475 + 3.79716i 0.265759 + 0.521581i 0.984866 0.173318i \(-0.0554490\pi\)
−0.719107 + 0.694899i \(0.755449\pi\)
\(54\) 4.88307 1.77642i 0.664501 0.241740i
\(55\) 5.63730 5.55995i 0.760133 0.749704i
\(56\) −3.73929 + 1.21497i −0.499684 + 0.162357i
\(57\) −7.26276 4.59778i −0.961976 0.608990i
\(58\) 1.26128 2.47540i 0.165614 0.325036i
\(59\) 5.11067 + 3.71312i 0.665353 + 0.483407i 0.868466 0.495748i \(-0.165106\pi\)
−0.203113 + 0.979155i \(0.565106\pi\)
\(60\) 3.34501 1.95215i 0.431839 0.252022i
\(61\) 1.09310 0.794185i 0.139957 0.101685i −0.515604 0.856827i \(-0.672432\pi\)
0.655561 + 0.755142i \(0.272432\pi\)
\(62\) −0.232323 1.46683i −0.0295050 0.186287i
\(63\) 6.65153 + 9.74080i 0.838014 + 1.22723i
\(64\) 0.587785 + 0.809017i 0.0734732 + 0.101127i
\(65\) 4.52283 1.43509i 0.560988 0.178001i
\(66\) 2.42950 5.63141i 0.299051 0.693179i
\(67\) 8.29150 + 4.22473i 1.01297 + 0.516133i 0.879993 0.474987i \(-0.157547\pi\)
0.132974 + 0.991119i \(0.457547\pi\)
\(68\) 0.741501 0.741501i 0.0899202 0.0899202i
\(69\) 11.6254 6.89267i 1.39953 0.829780i
\(70\) 6.17351 + 6.25939i 0.737876 + 0.748140i
\(71\) −2.47790 0.805120i −0.294073 0.0955501i 0.158265 0.987397i \(-0.449410\pi\)
−0.452338 + 0.891847i \(0.649410\pi\)
\(72\) 1.83345 2.37455i 0.216074 0.279843i
\(73\) 8.82492 + 1.39773i 1.03288 + 0.163592i 0.649785 0.760118i \(-0.274859\pi\)
0.383093 + 0.923710i \(0.374859\pi\)
\(74\) 1.08497 0.126126
\(75\) −7.25256 4.73291i −0.837453 0.546509i
\(76\) −4.96277 −0.569269
\(77\) 13.7507 + 2.17789i 1.56704 + 0.248194i
\(78\) 2.82941 2.34599i 0.320368 0.265632i
\(79\) −14.4405 4.69199i −1.62468 0.527891i −0.651641 0.758528i \(-0.725919\pi\)
−0.973040 + 0.230637i \(0.925919\pi\)
\(80\) 1.02889 1.98529i 0.115034 0.221962i
\(81\) −8.38263 3.27590i −0.931403 0.363989i
\(82\) 0.832175 0.832175i 0.0918984 0.0918984i
\(83\) −9.56823 4.87526i −1.05025 0.535129i −0.158360 0.987381i \(-0.550621\pi\)
−0.891890 + 0.452252i \(0.850621\pi\)
\(84\) 6.25286 + 2.69761i 0.682243 + 0.294333i
\(85\) −2.22501 0.739979i −0.241336 0.0802620i
\(86\) 6.85807 + 9.43932i 0.739525 + 1.01787i
\(87\) −4.47211 + 1.77638i −0.479461 + 0.190448i
\(88\) −0.553929 3.49737i −0.0590490 0.372821i
\(89\) −2.14121 + 1.55568i −0.226968 + 0.164902i −0.695458 0.718567i \(-0.744798\pi\)
0.468490 + 0.883469i \(0.344798\pi\)
\(90\) −6.58342 1.28785i −0.693954 0.135751i
\(91\) 6.74988 + 4.90407i 0.707579 + 0.514086i
\(92\) 3.54247 6.95248i 0.369328 0.724846i
\(93\) −1.37589 + 2.17339i −0.142673 + 0.225370i
\(94\) 10.9886 3.57041i 1.13339 0.368260i
\(95\) 4.96956 + 9.92214i 0.509866 + 1.01799i
\(96\) 0.161084 1.72454i 0.0164406 0.176011i
\(97\) 7.23583 + 14.2011i 0.734687 + 1.44190i 0.890909 + 0.454182i \(0.150068\pi\)
−0.156222 + 0.987722i \(0.549932\pi\)
\(98\) −1.32319 + 8.35430i −0.133663 + 0.843912i
\(99\) −9.60181 + 4.54436i −0.965018 + 0.456725i
\(100\) −4.99952 0.0690705i −0.499952 0.00690705i
\(101\) 2.78509i 0.277127i −0.990354 0.138564i \(-0.955751\pi\)
0.990354 0.138564i \(-0.0442485\pi\)
\(102\) −1.81259 + 0.116060i −0.179473 + 0.0114917i
\(103\) 9.98017 5.08515i 0.983376 0.501055i 0.113081 0.993586i \(-0.463928\pi\)
0.870295 + 0.492531i \(0.163928\pi\)
\(104\) 0.655749 2.01819i 0.0643015 0.197900i
\(105\) −0.868039 15.2027i −0.0847119 1.48363i
\(106\) −1.31692 4.05308i −0.127911 0.393670i
\(107\) 3.58302 + 3.58302i 0.346384 + 0.346384i 0.858761 0.512377i \(-0.171235\pi\)
−0.512377 + 0.858761i \(0.671235\pi\)
\(108\) −5.10084 + 0.990669i −0.490829 + 0.0953272i
\(109\) −5.92254 + 8.15168i −0.567277 + 0.780789i −0.992229 0.124427i \(-0.960291\pi\)
0.424952 + 0.905216i \(0.360291\pi\)
\(110\) −6.43766 + 4.60963i −0.613807 + 0.439511i
\(111\) −1.41101 1.24119i −0.133927 0.117808i
\(112\) 3.88332 0.615057i 0.366939 0.0581174i
\(113\) −3.71655 + 0.588643i −0.349623 + 0.0553749i −0.328776 0.944408i \(-0.606636\pi\)
−0.0208469 + 0.999783i \(0.506636\pi\)
\(114\) 6.45409 + 5.67732i 0.604481 + 0.531729i
\(115\) −17.4475 0.120517i −1.62699 0.0112382i
\(116\) −1.63299 + 2.24762i −0.151619 + 0.208686i
\(117\) −6.36343 0.185826i −0.588300 0.0171796i
\(118\) −4.46689 4.46689i −0.411211 0.411211i
\(119\) −1.27407 3.92117i −0.116793 0.359453i
\(120\) −3.60921 + 1.40484i −0.329474 + 0.128244i
\(121\) −0.475402 + 1.46314i −0.0432184 + 0.133012i
\(122\) −1.20388 + 0.613408i −0.108994 + 0.0555354i
\(123\) −2.03424 + 0.130253i −0.183421 + 0.0117445i
\(124\) 1.48511i 0.133367i
\(125\) 4.86827 + 10.0648i 0.435431 + 0.900222i
\(126\) −5.04584 10.6614i −0.449519 0.949793i
\(127\) 2.99916 18.9360i 0.266133 1.68030i −0.386241 0.922398i \(-0.626227\pi\)
0.652373 0.757898i \(-0.273773\pi\)
\(128\) −0.453990 0.891007i −0.0401275 0.0787546i
\(129\) 1.87948 20.1214i 0.165479 1.77159i
\(130\) −4.69164 + 0.709899i −0.411484 + 0.0622623i
\(131\) 11.4171 3.70965i 0.997519 0.324113i 0.235645 0.971839i \(-0.424280\pi\)
0.761874 + 0.647726i \(0.224280\pi\)
\(132\) −3.28054 + 5.18202i −0.285534 + 0.451037i
\(133\) −8.85836 + 17.3855i −0.768118 + 1.50752i
\(134\) −7.52852 5.46979i −0.650365 0.472518i
\(135\) 7.08848 + 9.20617i 0.610079 + 0.792341i
\(136\) −0.848368 + 0.616376i −0.0727470 + 0.0528538i
\(137\) 1.31496 + 8.30230i 0.112344 + 0.709314i 0.977989 + 0.208655i \(0.0669087\pi\)
−0.865645 + 0.500658i \(0.833091\pi\)
\(138\) −12.5605 + 4.98920i −1.06922 + 0.424709i
\(139\) 1.56608 + 2.15552i 0.132833 + 0.182829i 0.870252 0.492607i \(-0.163956\pi\)
−0.737419 + 0.675435i \(0.763956\pi\)
\(140\) −5.11832 7.14808i −0.432577 0.604123i
\(141\) −18.3752 7.92742i −1.54747 0.667609i
\(142\) 2.32145 + 1.18284i 0.194812 + 0.0992615i
\(143\) −5.31327 + 5.31327i −0.444318 + 0.444318i
\(144\) −2.18234 + 2.05850i −0.181861 + 0.171541i
\(145\) 6.12892 + 1.01417i 0.508979 + 0.0842222i
\(146\) −8.49762 2.76104i −0.703268 0.228506i
\(147\) 11.2780 9.35108i 0.930192 0.771264i
\(148\) −1.07161 0.169727i −0.0880862 0.0139515i
\(149\) 15.1777 1.24340 0.621701 0.783254i \(-0.286442\pi\)
0.621701 + 0.783254i \(0.286442\pi\)
\(150\) 6.42288 + 5.80919i 0.524426 + 0.474318i
\(151\) 13.0979 1.06590 0.532948 0.846148i \(-0.321084\pi\)
0.532948 + 0.846148i \(0.321084\pi\)
\(152\) 4.90167 + 0.776348i 0.397578 + 0.0629701i
\(153\) 2.49005 + 1.92263i 0.201308 + 0.155435i
\(154\) −13.2407 4.30216i −1.06697 0.346678i
\(155\) 2.96921 1.48714i 0.238492 0.119450i
\(156\) −3.16157 + 1.87449i −0.253128 + 0.150080i
\(157\) −6.13050 + 6.13050i −0.489267 + 0.489267i −0.908075 0.418808i \(-0.862448\pi\)
0.418808 + 0.908075i \(0.362448\pi\)
\(158\) 13.5287 + 6.89322i 1.07629 + 0.548395i
\(159\) −2.92398 + 6.77757i −0.231887 + 0.537497i
\(160\) −1.32679 + 1.79990i −0.104892 + 0.142294i
\(161\) −18.0327 24.8199i −1.42117 1.95608i
\(162\) 7.76696 + 4.54690i 0.610230 + 0.357238i
\(163\) −0.771116 4.86864i −0.0603985 0.381341i −0.999309 0.0371787i \(-0.988163\pi\)
0.938910 0.344162i \(-0.111837\pi\)
\(164\) −0.952111 + 0.691749i −0.0743473 + 0.0540165i
\(165\) 13.6455 + 1.36973i 1.06230 + 0.106633i
\(166\) 8.68777 + 6.31204i 0.674302 + 0.489909i
\(167\) 3.73760 7.33545i 0.289224 0.567634i −0.699983 0.714160i \(-0.746809\pi\)
0.989207 + 0.146525i \(0.0468090\pi\)
\(168\) −5.75388 3.64256i −0.443921 0.281030i
\(169\) 8.08104 2.62569i 0.621619 0.201976i
\(170\) 2.08186 + 1.07894i 0.159671 + 0.0827507i
\(171\) −1.89882 14.7667i −0.145206 1.12924i
\(172\) −5.29700 10.3959i −0.403892 0.792684i
\(173\) −0.713712 + 4.50620i −0.0542625 + 0.342600i 0.945589 + 0.325364i \(0.105487\pi\)
−0.999851 + 0.0172364i \(0.994513\pi\)
\(174\) 4.69494 1.05492i 0.355923 0.0799734i
\(175\) −9.16594 + 17.3910i −0.692880 + 1.31464i
\(176\) 3.54097i 0.266910i
\(177\) 0.699162 + 10.9192i 0.0525522 + 0.820741i
\(178\) 2.35821 1.20157i 0.176755 0.0900614i
\(179\) 3.51637 10.8223i 0.262826 0.808894i −0.729361 0.684129i \(-0.760182\pi\)
0.992186 0.124765i \(-0.0398177\pi\)
\(180\) 6.30090 + 2.30187i 0.469642 + 0.171571i
\(181\) 2.01769 + 6.20982i 0.149974 + 0.461572i 0.997617 0.0689945i \(-0.0219791\pi\)
−0.847643 + 0.530567i \(0.821979\pi\)
\(182\) −5.89961 5.89961i −0.437308 0.437308i
\(183\) 2.26738 + 0.579479i 0.167609 + 0.0428364i
\(184\) −4.58646 + 6.31272i −0.338118 + 0.465380i
\(185\) 0.733743 + 2.31246i 0.0539458 + 0.170015i
\(186\) 1.69894 1.93139i 0.124572 0.141616i
\(187\) 3.66749 0.580873i 0.268193 0.0424776i
\(188\) −11.4118 + 1.80746i −0.832294 + 0.131822i
\(189\) −5.63432 + 19.6375i −0.409836 + 1.42842i
\(190\) −3.35621 10.5774i −0.243485 0.767365i
\(191\) −0.349868 + 0.481552i −0.0253155 + 0.0348439i −0.821487 0.570227i \(-0.806855\pi\)
0.796172 + 0.605071i \(0.206855\pi\)
\(192\) −0.428879 + 1.67811i −0.0309517 + 0.121107i
\(193\) −15.5790 15.5790i −1.12140 1.12140i −0.991532 0.129866i \(-0.958545\pi\)
−0.129866 0.991532i \(-0.541455\pi\)
\(194\) −4.92520 15.1582i −0.353609 1.08830i
\(195\) 6.91360 + 4.44392i 0.495093 + 0.318236i
\(196\) 2.61380 8.04445i 0.186700 0.574604i
\(197\) 2.51349 1.28069i 0.179079 0.0912453i −0.362153 0.932119i \(-0.617958\pi\)
0.541232 + 0.840873i \(0.317958\pi\)
\(198\) 10.1945 2.98635i 0.724491 0.212231i
\(199\) 10.4829i 0.743113i −0.928410 0.371556i \(-0.878824\pi\)
0.928410 0.371556i \(-0.121176\pi\)
\(200\) 4.92717 + 0.850318i 0.348403 + 0.0601266i
\(201\) 3.53352 + 15.7260i 0.249235 + 1.10922i
\(202\) −0.435685 + 2.75080i −0.0306547 + 0.193546i
\(203\) 4.95900 + 9.73259i 0.348054 + 0.683094i
\(204\) 1.80843 + 0.168920i 0.126615 + 0.0118267i
\(205\) 2.33644 + 1.21087i 0.163184 + 0.0845711i
\(206\) −10.6528 + 3.46130i −0.742215 + 0.241160i
\(207\) 22.0425 + 7.88050i 1.53206 + 0.547733i
\(208\) −0.963390 + 1.89076i −0.0667991 + 0.131101i
\(209\) −14.2168 10.3291i −0.983400 0.714482i
\(210\) −1.52088 + 15.1514i −0.104951 + 1.04554i
\(211\) 1.70957 1.24207i 0.117692 0.0855079i −0.527382 0.849628i \(-0.676827\pi\)
0.645074 + 0.764120i \(0.276827\pi\)
\(212\) 0.666670 + 4.20919i 0.0457871 + 0.289088i
\(213\) −1.66590 4.19398i −0.114146 0.287366i
\(214\) −2.97840 4.09941i −0.203599 0.280230i
\(215\) −15.4805 + 21.0005i −1.05576 + 1.43222i
\(216\) 5.19302 0.180525i 0.353340 0.0122832i
\(217\) 5.20263 + 2.65087i 0.353177 + 0.179953i
\(218\) 7.12483 7.12483i 0.482554 0.482554i
\(219\) 7.89259 + 13.3119i 0.533332 + 0.899532i
\(220\) 7.07951 3.54581i 0.477300 0.239058i
\(221\) 2.11635 + 0.687645i 0.142361 + 0.0462560i
\(222\) 1.19947 + 1.44664i 0.0805034 + 0.0970920i
\(223\) −10.5167 1.66568i −0.704248 0.111542i −0.205969 0.978559i \(-0.566034\pi\)
−0.498279 + 0.867017i \(0.666034\pi\)
\(224\) −3.93172 −0.262699
\(225\) −1.70736 14.9025i −0.113824 0.993501i
\(226\) 3.76287 0.250303
\(227\) −1.36230 0.215768i −0.0904192 0.0143210i 0.111061 0.993814i \(-0.464575\pi\)
−0.201480 + 0.979493i \(0.564575\pi\)
\(228\) −5.48650 6.61706i −0.363353 0.438226i
\(229\) 15.7865 + 5.12935i 1.04320 + 0.338957i 0.779997 0.625783i \(-0.215220\pi\)
0.263205 + 0.964740i \(0.415220\pi\)
\(230\) 17.2138 + 2.84842i 1.13505 + 0.187820i
\(231\) 12.2980 + 20.7421i 0.809146 + 1.36473i
\(232\) 1.96449 1.96449i 0.128975 0.128975i
\(233\) −22.1187 11.2700i −1.44904 0.738324i −0.460274 0.887777i \(-0.652249\pi\)
−0.988769 + 0.149453i \(0.952249\pi\)
\(234\) 6.25602 + 1.17900i 0.408969 + 0.0770735i
\(235\) 15.0411 + 21.0059i 0.981175 + 1.37028i
\(236\) 3.71312 + 5.11067i 0.241704 + 0.332677i
\(237\) −9.70839 24.4412i −0.630628 1.58763i
\(238\) 0.644974 + 4.07220i 0.0418074 + 0.263962i
\(239\) 19.2197 13.9639i 1.24322 0.903249i 0.245408 0.969420i \(-0.421078\pi\)
0.997808 + 0.0661704i \(0.0210781\pi\)
\(240\) 3.78454 0.822943i 0.244291 0.0531207i
\(241\) −5.11077 3.71319i −0.329214 0.239188i 0.410883 0.911688i \(-0.365220\pi\)
−0.740097 + 0.672500i \(0.765220\pi\)
\(242\) 0.698434 1.37075i 0.0448970 0.0881154i
\(243\) −4.89938 14.7985i −0.314296 0.949325i
\(244\) 1.28502 0.417528i 0.0822649 0.0267295i
\(245\) −18.7008 + 2.82964i −1.19475 + 0.180779i
\(246\) 2.02957 + 0.189576i 0.129401 + 0.0120869i
\(247\) −4.78108 9.38340i −0.304213 0.597051i
\(248\) 0.232323 1.46683i 0.0147525 0.0931436i
\(249\) −4.07762 18.1475i −0.258408 1.15005i
\(250\) −3.23385 10.7024i −0.204527 0.676882i
\(251\) 13.8304i 0.872966i 0.899712 + 0.436483i \(0.143776\pi\)
−0.899712 + 0.436483i \(0.856224\pi\)
\(252\) 3.31591 + 11.3195i 0.208883 + 0.713060i
\(253\) 24.6185 12.5437i 1.54775 0.788619i
\(254\) −5.92448 + 18.2337i −0.371735 + 1.14408i
\(255\) −1.47318 3.78477i −0.0922539 0.237011i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) −12.9955 12.9955i −0.810638 0.810638i 0.174091 0.984730i \(-0.444301\pi\)
−0.984730 + 0.174091i \(0.944301\pi\)
\(258\) −5.00401 + 19.5796i −0.311536 + 1.21897i
\(259\) −2.50738 + 3.45111i −0.155801 + 0.214442i
\(260\) 4.74493 + 0.0327750i 0.294268 + 0.00203262i
\(261\) −7.31259 3.99900i −0.452638 0.247532i
\(262\) −11.8569 + 1.87794i −0.732520 + 0.116020i
\(263\) 8.70800 1.37921i 0.536958 0.0850458i 0.117935 0.993021i \(-0.462373\pi\)
0.419023 + 0.907976i \(0.362373\pi\)
\(264\) 4.05080 4.60503i 0.249309 0.283420i
\(265\) 7.74792 5.54783i 0.475951 0.340801i
\(266\) 11.4690 15.7857i 0.703209 0.967885i
\(267\) −4.44143 1.13511i −0.271811 0.0694675i
\(268\) 6.58017 + 6.58017i 0.401948 + 0.401948i
\(269\) −0.0471754 0.145191i −0.00287634 0.00885245i 0.949608 0.313440i \(-0.101481\pi\)
−0.952484 + 0.304587i \(0.901481\pi\)
\(270\) −5.56105 10.2017i −0.338434 0.620856i
\(271\) −3.79892 + 11.6919i −0.230768 + 0.710230i 0.766887 + 0.641782i \(0.221805\pi\)
−0.997655 + 0.0684477i \(0.978195\pi\)
\(272\) 0.934346 0.476073i 0.0566530 0.0288662i
\(273\) 0.923411 + 14.4215i 0.0558874 + 0.872829i
\(274\) 8.40579i 0.507813i
\(275\) −14.1784 10.6035i −0.854988 0.639416i
\(276\) 13.1863 2.96288i 0.793724 0.178345i
\(277\) 0.680977 4.29952i 0.0409160 0.258333i −0.958748 0.284258i \(-0.908253\pi\)
0.999664 + 0.0259243i \(0.00825290\pi\)
\(278\) −1.20960 2.37397i −0.0725468 0.142381i
\(279\) −4.41895 + 0.568222i −0.264556 + 0.0340186i
\(280\) 3.93710 + 7.86075i 0.235287 + 0.469770i
\(281\) 21.0452 6.83801i 1.25545 0.407922i 0.395582 0.918431i \(-0.370543\pi\)
0.859872 + 0.510509i \(0.170543\pi\)
\(282\) 16.9088 + 10.7043i 1.00691 + 0.637434i
\(283\) 3.54907 6.96545i 0.210970 0.414053i −0.761136 0.648592i \(-0.775358\pi\)
0.972107 + 0.234539i \(0.0753581\pi\)
\(284\) −2.10783 1.53143i −0.125077 0.0908736i
\(285\) −7.73558 + 17.5954i −0.458216 + 1.04226i
\(286\) 6.07903 4.41668i 0.359461 0.261164i
\(287\) 0.723844 + 4.57017i 0.0427272 + 0.269769i
\(288\) 2.47749 1.69176i 0.145987 0.0996879i
\(289\) 9.34599 + 12.8637i 0.549764 + 0.756686i
\(290\) −5.89481 1.96046i −0.346155 0.115122i
\(291\) −10.9355 + 25.3476i −0.641049 + 1.48590i
\(292\) 7.96107 + 4.05637i 0.465887 + 0.237381i
\(293\) 5.69369 5.69369i 0.332629 0.332629i −0.520955 0.853584i \(-0.674424\pi\)
0.853584 + 0.520955i \(0.174424\pi\)
\(294\) −12.6020 + 7.47169i −0.734961 + 0.435758i
\(295\) 6.49965 12.5414i 0.378424 0.730187i
\(296\) 1.03187 + 0.335275i 0.0599762 + 0.0194875i
\(297\) −16.6743 7.77855i −0.967540 0.451357i
\(298\) −14.9908 2.37431i −0.868394 0.137540i
\(299\) 16.5582 0.957588
\(300\) −5.43504 6.74243i −0.313792 0.389274i
\(301\) −45.8739 −2.64413
\(302\) −12.9367 2.04897i −0.744422 0.117905i
\(303\) 3.71348 3.07901i 0.213334 0.176885i
\(304\) −4.71987 1.53358i −0.270703 0.0879568i
\(305\) −2.12155 2.15106i −0.121479 0.123169i
\(306\) −2.15862 2.28849i −0.123400 0.130824i
\(307\) −6.57841 + 6.57841i −0.375450 + 0.375450i −0.869458 0.494008i \(-0.835531\pi\)
0.494008 + 0.869458i \(0.335531\pi\)
\(308\) 12.4047 + 6.32050i 0.706822 + 0.360144i
\(309\) 17.8137 + 7.68517i 1.01338 + 0.437194i
\(310\) −3.16529 + 1.00435i −0.179776 + 0.0570431i
\(311\) −6.69564 9.21576i −0.379675 0.522578i 0.575823 0.817574i \(-0.304682\pi\)
−0.955498 + 0.294996i \(0.904682\pi\)
\(312\) 3.41588 1.35684i 0.193386 0.0768157i
\(313\) 3.74388 + 23.6379i 0.211617 + 1.33610i 0.833297 + 0.552825i \(0.186450\pi\)
−0.621681 + 0.783271i \(0.713550\pi\)
\(314\) 7.01404 5.09600i 0.395825 0.287584i
\(315\) 19.3108 17.9645i 1.08804 1.01219i
\(316\) −12.2838 8.92470i −0.691018 0.502054i
\(317\) −6.09176 + 11.9558i −0.342147 + 0.671502i −0.996400 0.0847737i \(-0.972983\pi\)
0.654253 + 0.756276i \(0.272983\pi\)
\(318\) 3.94823 6.23672i 0.221406 0.349738i
\(319\) −9.35606 + 3.03997i −0.523839 + 0.170205i
\(320\) 1.59202 1.57018i 0.0889968 0.0877757i
\(321\) −0.816240 + 8.73853i −0.0455581 + 0.487737i
\(322\) 13.9280 + 27.3352i 0.776176 + 1.52333i
\(323\) −0.814110 + 5.14009i −0.0452983 + 0.286002i
\(324\) −6.96005 5.70594i −0.386669 0.316997i
\(325\) −4.68589 9.51943i −0.259927 0.528043i
\(326\) 4.92933i 0.273010i
\(327\) −17.4165 + 1.11518i −0.963136 + 0.0616698i
\(328\) 1.04860 0.534289i 0.0578994 0.0295012i
\(329\) −14.0379 + 43.2041i −0.773932 + 2.38192i
\(330\) −13.2633 3.48749i −0.730118 0.191980i
\(331\) −2.24416 6.90681i −0.123350 0.379633i 0.870247 0.492616i \(-0.163959\pi\)
−0.993597 + 0.112983i \(0.963959\pi\)
\(332\) −7.59339 7.59339i −0.416742 0.416742i
\(333\) 0.0950100 3.25353i 0.00520652 0.178292i
\(334\) −4.83910 + 6.66045i −0.264784 + 0.364444i
\(335\) 6.56666 19.7450i 0.358775 1.07878i
\(336\) 5.11321 + 4.49782i 0.278949 + 0.245376i
\(337\) −25.1497 + 3.98332i −1.36999 + 0.216985i −0.797695 0.603061i \(-0.793948\pi\)
−0.572297 + 0.820046i \(0.693948\pi\)
\(338\) −8.39230 + 1.32921i −0.456481 + 0.0722995i
\(339\) −4.89363 4.30466i −0.265785 0.233797i
\(340\) −1.88744 1.39133i −0.102361 0.0754554i
\(341\) −3.09100 + 4.25440i −0.167387 + 0.230389i
\(342\) −0.434585 + 14.8820i −0.0234997 + 0.804724i
\(343\) −4.05468 4.05468i −0.218932 0.218932i
\(344\) 3.60550 + 11.0966i 0.194396 + 0.598288i
\(345\) −19.1281 23.3967i −1.02982 1.25964i
\(346\) 1.40985 4.33907i 0.0757940 0.233270i
\(347\) 4.08726 2.08256i 0.219416 0.111798i −0.340828 0.940126i \(-0.610707\pi\)
0.560244 + 0.828328i \(0.310707\pi\)
\(348\) −4.80216 + 0.307484i −0.257423 + 0.0164828i
\(349\) 10.1416i 0.542867i 0.962457 + 0.271434i \(0.0874978\pi\)
−0.962457 + 0.271434i \(0.912502\pi\)
\(350\) 11.7736 15.7430i 0.629328 0.841499i
\(351\) −6.78721 8.69006i −0.362275 0.463841i
\(352\) 0.553929 3.49737i 0.0295245 0.186410i
\(353\) −5.55052 10.8935i −0.295424 0.579803i 0.694814 0.719190i \(-0.255487\pi\)
−0.990238 + 0.139387i \(0.955487\pi\)
\(354\) 1.01759 10.8942i 0.0540845 0.579020i
\(355\) −0.951095 + 5.74774i −0.0504789 + 0.305058i
\(356\) −2.51715 + 0.817870i −0.133408 + 0.0433470i
\(357\) 3.81974 6.03375i 0.202162 0.319340i
\(358\) −5.16605 + 10.1389i −0.273034 + 0.535860i
\(359\) −27.4018 19.9085i −1.44621 1.05073i −0.986699 0.162561i \(-0.948025\pi\)
−0.459511 0.888172i \(-0.651975\pi\)
\(360\) −5.86324 3.25921i −0.309020 0.171775i
\(361\) 4.55401 3.30868i 0.239685 0.174141i
\(362\) −1.02142 6.44900i −0.0536847 0.338952i
\(363\) −2.47643 + 0.983673i −0.129979 + 0.0516295i
\(364\) 4.90407 + 6.74988i 0.257043 + 0.353790i
\(365\) 0.138000 19.9786i 0.00722324 1.04573i
\(366\) −2.14881 0.927041i −0.112320 0.0484572i
\(367\) −4.23542 2.15805i −0.221087 0.112649i 0.339939 0.940447i \(-0.389593\pi\)
−0.561026 + 0.827798i \(0.689593\pi\)
\(368\) 5.51752 5.51752i 0.287621 0.287621i
\(369\) −2.42259 2.56833i −0.126115 0.133702i
\(370\) −0.362961 2.39877i −0.0188695 0.124706i
\(371\) 15.9356 + 5.17778i 0.827334 + 0.268817i
\(372\) −1.98016 + 1.64184i −0.102667 + 0.0851254i
\(373\) 37.1540 + 5.88461i 1.92376 + 0.304693i 0.997407 0.0719662i \(-0.0229274\pi\)
0.926352 + 0.376660i \(0.122927\pi\)
\(374\) −3.71320 −0.192005
\(375\) −8.03776 + 17.6180i −0.415068 + 0.909790i
\(376\) 11.5541 0.595857
\(377\) −5.82291 0.922258i −0.299895 0.0474987i
\(378\) 8.63693 18.5144i 0.444236 0.952275i
\(379\) 15.4663 + 5.02532i 0.794453 + 0.258133i 0.677999 0.735063i \(-0.262847\pi\)
0.116454 + 0.993196i \(0.462847\pi\)
\(380\) 1.66022 + 10.9722i 0.0851674 + 0.562862i
\(381\) 28.5638 16.9354i 1.46337 0.867629i
\(382\) 0.420892 0.420892i 0.0215347 0.0215347i
\(383\) 28.2694 + 14.4040i 1.44450 + 0.736009i 0.988107 0.153769i \(-0.0491413\pi\)
0.456393 + 0.889779i \(0.349141\pi\)
\(384\) 0.686114 1.59036i 0.0350131 0.0811578i
\(385\) 0.215027 31.1300i 0.0109588 1.58653i
\(386\) 12.9501 + 17.8242i 0.659141 + 0.907230i
\(387\) 28.9065 19.7388i 1.46940 1.00338i
\(388\) 2.49330 + 15.7420i 0.126578 + 0.799181i
\(389\) −8.93091 + 6.48869i −0.452815 + 0.328989i −0.790706 0.612196i \(-0.790286\pi\)
0.337891 + 0.941185i \(0.390286\pi\)
\(390\) −6.13330 5.47074i −0.310572 0.277022i
\(391\) −6.61978 4.80955i −0.334776 0.243229i
\(392\) −3.84005 + 7.53652i −0.193952 + 0.380652i
\(393\) 17.5682 + 11.1218i 0.886200 + 0.561019i
\(394\) −2.68289 + 0.871725i −0.135162 + 0.0439169i
\(395\) −5.54270 + 33.4961i −0.278883 + 1.68537i
\(396\) −10.5361 + 1.35482i −0.529461 + 0.0680821i
\(397\) −6.77912 13.3048i −0.340234 0.667748i 0.655970 0.754787i \(-0.272260\pi\)
−0.996205 + 0.0870388i \(0.972260\pi\)
\(398\) −1.63989 + 10.3538i −0.0822000 + 0.518991i
\(399\) −32.9740 + 7.40905i −1.65077 + 0.370916i
\(400\) −4.73348 1.61063i −0.236674 0.0805314i
\(401\) 12.7473i 0.636570i 0.947995 + 0.318285i \(0.103107\pi\)
−0.947995 + 0.318285i \(0.896893\pi\)
\(402\) −1.02993 16.0851i −0.0513684 0.802253i
\(403\) −2.80799 + 1.43074i −0.139876 + 0.0712703i
\(404\) 0.860641 2.64878i 0.0428185 0.131782i
\(405\) −4.43841 + 19.6291i −0.220546 + 0.975376i
\(406\) −3.37544 10.3885i −0.167520 0.515574i
\(407\) −2.71660 2.71660i −0.134657 0.134657i
\(408\) −1.75974 0.449740i −0.0871200 0.0222655i
\(409\) 15.8203 21.7748i 0.782264 1.07669i −0.212764 0.977104i \(-0.568247\pi\)
0.995028 0.0995907i \(-0.0317533\pi\)
\(410\) −2.11825 1.56147i −0.104613 0.0771153i
\(411\) −9.61607 + 10.9318i −0.474326 + 0.539224i
\(412\) 11.0631 1.75222i 0.545040 0.0863259i
\(413\) 24.5315 3.88540i 1.20711 0.191188i
\(414\) −20.5383 11.2317i −1.00940 0.552007i
\(415\) −7.57781 + 22.7854i −0.371980 + 1.11849i
\(416\) 1.24731 1.71677i 0.0611543 0.0841717i
\(417\) −1.14269 + 4.47111i −0.0559579 + 0.218951i
\(418\) 12.4260 + 12.4260i 0.607775 + 0.607775i
\(419\) 5.97052 + 18.3754i 0.291679 + 0.897696i 0.984317 + 0.176410i \(0.0564485\pi\)
−0.692638 + 0.721286i \(0.743551\pi\)
\(420\) 3.87235 14.7269i 0.188951 0.718599i
\(421\) 2.15745 6.63995i 0.105148 0.323611i −0.884617 0.466318i \(-0.845580\pi\)
0.989765 + 0.142706i \(0.0455804\pi\)
\(422\) −1.88282 + 0.959347i −0.0916545 + 0.0467003i
\(423\) −9.74440 33.2644i −0.473789 1.61737i
\(424\) 4.26166i 0.206964i
\(425\) −0.891678 + 5.16683i −0.0432527 + 0.250628i
\(426\) 0.989313 + 4.40295i 0.0479324 + 0.213323i
\(427\) 0.831033 5.24693i 0.0402165 0.253917i
\(428\) 2.30044 + 4.51487i 0.111196 + 0.218234i
\(429\) −12.9584 1.21040i −0.625637 0.0584389i
\(430\) 18.5752 18.3203i 0.895773 0.883483i
\(431\) 11.4753 3.72856i 0.552747 0.179598i −0.0193080 0.999814i \(-0.506146\pi\)
0.572055 + 0.820215i \(0.306146\pi\)
\(432\) −5.15732 0.634064i −0.248132 0.0305064i
\(433\) −11.0750 + 21.7358i −0.532228 + 1.04456i 0.455771 + 0.890097i \(0.349364\pi\)
−0.987999 + 0.154460i \(0.950636\pi\)
\(434\) −4.72389 3.43211i −0.226754 0.164746i
\(435\) 5.42349 + 9.29314i 0.260036 + 0.445572i
\(436\) −8.15168 + 5.92254i −0.390395 + 0.283638i
\(437\) 6.05780 + 38.2475i 0.289784 + 1.82962i
\(438\) −5.71298 14.3826i −0.272977 0.687229i
\(439\) −4.35738 5.99742i −0.207966 0.286241i 0.692274 0.721635i \(-0.256609\pi\)
−0.900240 + 0.435394i \(0.856609\pi\)
\(440\) −7.54703 + 2.39467i −0.359791 + 0.114162i
\(441\) 24.9364 + 4.69946i 1.18745 + 0.223784i
\(442\) −1.98273 1.01025i −0.0943087 0.0480527i
\(443\) 0.514362 0.514362i 0.0244381 0.0244381i −0.694782 0.719220i \(-0.744499\pi\)
0.719220 + 0.694782i \(0.244499\pi\)
\(444\) −0.958401 1.61647i −0.0454837 0.0767141i
\(445\) 4.15577 + 4.21358i 0.197002 + 0.199743i
\(446\) 10.1266 + 3.29034i 0.479509 + 0.155802i
\(447\) 16.7794 + 20.2370i 0.793639 + 0.957177i
\(448\) 3.88332 + 0.615057i 0.183469 + 0.0290587i
\(449\) 29.6955 1.40142 0.700709 0.713447i \(-0.252867\pi\)
0.700709 + 0.713447i \(0.252867\pi\)
\(450\) −0.644927 + 14.9861i −0.0304021 + 0.706453i
\(451\) −4.16727 −0.196229
\(452\) −3.71655 0.588643i −0.174812 0.0276874i
\(453\) 14.4802 + 17.4640i 0.680339 + 0.820531i
\(454\) 1.31178 + 0.426222i 0.0615648 + 0.0200036i
\(455\) 8.58435 16.5639i 0.402441 0.776527i
\(456\) 4.38382 + 7.39387i 0.205291 + 0.346250i
\(457\) −2.68309 + 2.68309i −0.125510 + 0.125510i −0.767071 0.641562i \(-0.778287\pi\)
0.641562 + 0.767071i \(0.278287\pi\)
\(458\) −14.7898 7.53576i −0.691080 0.352123i
\(459\) 0.189306 + 5.44561i 0.00883605 + 0.254179i
\(460\) −16.5563 5.50620i −0.771943 0.256728i
\(461\) 6.68161 + 9.19644i 0.311193 + 0.428321i 0.935753 0.352656i \(-0.114721\pi\)
−0.624560 + 0.780977i \(0.714721\pi\)
\(462\) −8.90177 22.4105i −0.414148 1.04263i
\(463\) −2.20029 13.8921i −0.102256 0.645619i −0.984574 0.174966i \(-0.944018\pi\)
0.882318 0.470653i \(-0.155982\pi\)
\(464\) −2.24762 + 1.63299i −0.104343 + 0.0758097i
\(465\) 5.26542 + 2.31488i 0.244178 + 0.107350i
\(466\) 20.0833 + 14.5914i 0.930343 + 0.675934i
\(467\) 2.03239 3.98879i 0.0940479 0.184579i −0.839190 0.543838i \(-0.816970\pi\)
0.933238 + 0.359259i \(0.116970\pi\)
\(468\) −5.99456 2.14314i −0.277099 0.0990667i
\(469\) 34.7969 11.3062i 1.60677 0.522072i
\(470\) −11.5699 23.1003i −0.533679 1.06554i
\(471\) −14.9515 1.39657i −0.688929 0.0643508i
\(472\) −2.86792 5.62861i −0.132007 0.259078i
\(473\) 6.46305 40.8061i 0.297171 1.87627i
\(474\) 5.76542 + 25.6590i 0.264814 + 1.17856i
\(475\) 20.2744 14.3065i 0.930253 0.656427i
\(476\) 4.12296i 0.188976i
\(477\) −12.2694 + 3.59417i −0.561776 + 0.164566i
\(478\) −21.1675 + 10.7854i −0.968177 + 0.493311i
\(479\) −9.35922 + 28.8047i −0.427634 + 1.31612i 0.472816 + 0.881161i \(0.343237\pi\)
−0.900450 + 0.434960i \(0.856763\pi\)
\(480\) −3.86669 + 0.220778i −0.176489 + 0.0100771i
\(481\) −0.711470 2.18968i −0.0324402 0.0998408i
\(482\) 4.46698 + 4.46698i 0.203465 + 0.203465i
\(483\) 13.1576 51.4829i 0.598692 2.34255i
\(484\) −0.904268 + 1.24462i −0.0411031 + 0.0565736i
\(485\) 28.9766 20.7485i 1.31576 0.942139i
\(486\) 2.52407 + 15.3828i 0.114494 + 0.697776i
\(487\) −0.548721 + 0.0869089i −0.0248649 + 0.00393822i −0.168855 0.985641i \(-0.554007\pi\)
0.143990 + 0.989579i \(0.454007\pi\)
\(488\) −1.33451 + 0.211366i −0.0604106 + 0.00956809i
\(489\) 5.63906 6.41060i 0.255007 0.289897i
\(490\) 18.9132 + 0.130641i 0.854411 + 0.00590174i
\(491\) −3.72379 + 5.12536i −0.168052 + 0.231304i −0.884734 0.466096i \(-0.845660\pi\)
0.716682 + 0.697400i \(0.245660\pi\)
\(492\) −1.97493 0.504737i −0.0890366 0.0227553i
\(493\) 2.06004 + 2.06004i 0.0927797 + 0.0927797i
\(494\) 3.25433 + 10.0158i 0.146419 + 0.450632i
\(495\) 13.2593 + 19.7084i 0.595960 + 0.885827i
\(496\) −0.458925 + 1.41243i −0.0206063 + 0.0634198i
\(497\) −9.12729 + 4.65059i −0.409415 + 0.208607i
\(498\) 1.18852 + 18.5619i 0.0532590 + 0.831780i
\(499\) 26.3004i 1.17737i 0.808363 + 0.588684i \(0.200354\pi\)
−0.808363 + 0.588684i \(0.799646\pi\)
\(500\) 1.51981 + 11.0766i 0.0679678 + 0.495359i
\(501\) 13.9127 3.12609i 0.621573 0.139663i
\(502\) 2.16355 13.6601i 0.0965639 0.609681i
\(503\) 2.72953 + 5.35700i 0.121704 + 0.238857i 0.943818 0.330465i \(-0.107206\pi\)
−0.822115 + 0.569322i \(0.807206\pi\)
\(504\) −1.50433 11.6988i −0.0670080 0.521108i
\(505\) −6.15757 + 0.931711i −0.274008 + 0.0414606i
\(506\) −26.2777 + 8.53813i −1.16818 + 0.379566i
\(507\) 12.4348 + 7.87200i 0.552249 + 0.349608i
\(508\) 8.70391 17.0824i 0.386174 0.757908i
\(509\) 1.71448 + 1.24564i 0.0759931 + 0.0552122i 0.625133 0.780518i \(-0.285045\pi\)
−0.549140 + 0.835730i \(0.685045\pi\)
\(510\) 0.862972 + 3.96863i 0.0382130 + 0.175734i
\(511\) 28.4205 20.6487i 1.25725 0.913444i
\(512\) −0.156434 0.987688i −0.00691349 0.0436501i
\(513\) 17.5899 18.8569i 0.776612 0.832551i
\(514\) 10.8026 + 14.8685i 0.476481 + 0.655820i
\(515\) −14.5815 20.3640i −0.642537 0.897346i
\(516\) 8.00533 18.5558i 0.352415 0.816872i
\(517\) −36.4534 18.5739i −1.60322 0.816881i
\(518\) 3.01638 3.01638i 0.132532 0.132532i
\(519\) −6.79733 + 4.03013i −0.298370 + 0.176903i
\(520\) −4.68139 0.774642i −0.205292 0.0339703i
\(521\) −7.20132 2.33985i −0.315496 0.102511i 0.146989 0.989138i \(-0.453042\pi\)
−0.462484 + 0.886627i \(0.653042\pi\)
\(522\) 6.59698 + 5.09370i 0.288742 + 0.222945i
\(523\) −19.0191 3.01233i −0.831649 0.131720i −0.273929 0.961750i \(-0.588323\pi\)
−0.557719 + 0.830030i \(0.688323\pi\)
\(524\) 12.0047 0.524427
\(525\) −33.3214 + 7.00499i −1.45426 + 0.305723i
\(526\) −8.81654 −0.384420
\(527\) 1.53818 + 0.243623i 0.0670040 + 0.0106124i
\(528\) −4.72131 + 3.91465i −0.205469 + 0.170363i
\(529\) −36.0318 11.7074i −1.56660 0.509019i
\(530\) −8.52040 + 4.26749i −0.370102 + 0.185368i
\(531\) −13.7861 + 13.0038i −0.598267 + 0.564317i
\(532\) −13.7972 + 13.7972i −0.598186 + 0.598186i
\(533\) −2.22518 1.13379i −0.0963834 0.0491098i
\(534\) 4.20918 + 1.81593i 0.182149 + 0.0785828i
\(535\) 6.72306 9.12035i 0.290663 0.394307i
\(536\) −5.46979 7.52852i −0.236259 0.325183i
\(537\) 18.3172 7.27586i 0.790447 0.313976i
\(538\) 0.0238817 + 0.150783i 0.00102961 + 0.00650073i
\(539\) 24.2309 17.6048i 1.04370 0.758291i
\(540\) 3.89668 + 10.9460i 0.167686 + 0.471043i
\(541\) −5.35372 3.88970i −0.230174 0.167231i 0.466720 0.884405i \(-0.345435\pi\)
−0.696895 + 0.717174i \(0.745435\pi\)
\(542\) 5.58115 10.9536i 0.239731 0.470499i
\(543\) −6.04918 + 9.55543i −0.259595 + 0.410063i
\(544\) −0.997317 + 0.324048i −0.0427596 + 0.0138934i
\(545\) 20.0039 + 10.3671i 0.856871 + 0.444079i
\(546\) 1.34398 14.3884i 0.0575169 0.615766i
\(547\) −1.05652 2.07353i −0.0451734 0.0886577i 0.867316 0.497757i \(-0.165843\pi\)
−0.912490 + 0.409099i \(0.865843\pi\)
\(548\) −1.31496 + 8.30230i −0.0561721 + 0.354657i
\(549\) 1.73402 + 3.66382i 0.0740061 + 0.156368i
\(550\) 12.3451 + 12.6909i 0.526395 + 0.541144i
\(551\) 13.7876i 0.587372i
\(552\) −13.4875 + 0.863606i −0.574066 + 0.0367575i
\(553\) −53.1911 + 27.1022i −2.26192 + 1.15250i
\(554\) −1.34519 + 4.14006i −0.0571515 + 0.175894i
\(555\) −2.27211 + 3.53482i −0.0964459 + 0.150045i
\(556\) 0.823335 + 2.53396i 0.0349172 + 0.107464i
\(557\) 0.0556738 + 0.0556738i 0.00235897 + 0.00235897i 0.708285 0.705926i \(-0.249469\pi\)
−0.705926 + 0.708285i \(0.749469\pi\)
\(558\) 4.45344 + 0.130050i 0.188529 + 0.00550545i
\(559\) 14.5532 20.0307i 0.615533 0.847208i
\(560\) −2.65894 8.37987i −0.112361 0.354114i
\(561\) 4.82903 + 4.24783i 0.203882 + 0.179344i
\(562\) −21.8558 + 3.46162i −0.921933 + 0.146020i
\(563\) −38.0847 + 6.03203i −1.60508 + 0.254220i −0.893726 0.448613i \(-0.851918\pi\)
−0.711355 + 0.702833i \(0.751918\pi\)
\(564\) −15.0261 13.2177i −0.632714 0.556564i
\(565\) 2.54475 + 8.02000i 0.107058 + 0.337404i
\(566\) −4.59501 + 6.32449i −0.193143 + 0.265838i
\(567\) −32.4124 + 14.1975i −1.36119 + 0.596237i
\(568\) 1.84231 + 1.84231i 0.0773017 + 0.0773017i
\(569\) −2.48906 7.66055i −0.104347 0.321147i 0.885230 0.465154i \(-0.154001\pi\)
−0.989577 + 0.144007i \(0.954001\pi\)
\(570\) 10.3929 16.1686i 0.435309 0.677229i
\(571\) −6.28765 + 19.3514i −0.263130 + 0.809831i 0.728988 + 0.684526i \(0.239991\pi\)
−0.992118 + 0.125305i \(0.960009\pi\)
\(572\) −6.69511 + 3.41133i −0.279937 + 0.142635i
\(573\) −1.02886 + 0.0658783i −0.0429814 + 0.00275210i
\(574\) 4.62714i 0.193133i
\(575\) 5.57035 + 38.6150i 0.232300 + 1.61036i
\(576\) −2.71164 + 1.28337i −0.112985 + 0.0534736i
\(577\) −5.77419 + 36.4568i −0.240383 + 1.51772i 0.511997 + 0.858987i \(0.328906\pi\)
−0.752380 + 0.658729i \(0.771094\pi\)
\(578\) −7.21861 14.1673i −0.300255 0.589283i
\(579\) 3.54901 37.9951i 0.147492 1.57902i
\(580\) 5.51555 + 2.85847i 0.229021 + 0.118692i
\(581\) −40.1550 + 13.0472i −1.66591 + 0.541287i
\(582\) 14.7661 23.3249i 0.612074 0.966846i
\(583\) −6.85089 + 13.4456i −0.283735 + 0.556861i
\(584\) −7.22850 5.25182i −0.299118 0.217322i
\(585\) 1.71795 + 14.1311i 0.0710284 + 0.584249i
\(586\) −6.51428 + 4.73290i −0.269102 + 0.195514i
\(587\) −4.84574 30.5948i −0.200005 1.26278i −0.859525 0.511094i \(-0.829240\pi\)
0.659520 0.751687i \(-0.270760\pi\)
\(588\) 13.6156 5.40832i 0.561500 0.223035i
\(589\) −4.33213 5.96267i −0.178502 0.245688i
\(590\) −8.38153 + 11.3702i −0.345062 + 0.468103i
\(591\) 4.48635 + 1.93550i 0.184544 + 0.0796158i
\(592\) −0.966718 0.492567i −0.0397319 0.0202444i
\(593\) −21.6044 + 21.6044i −0.887186 + 0.887186i −0.994252 0.107066i \(-0.965854\pi\)
0.107066 + 0.994252i \(0.465854\pi\)
\(594\) 15.2522 + 10.2912i 0.625804 + 0.422254i
\(595\) −8.24311 + 4.12860i −0.337934 + 0.169256i
\(596\) 14.4348 + 4.69016i 0.591273 + 0.192116i
\(597\) 13.9773 11.5892i 0.572051 0.474314i
\(598\) −16.3544 2.59028i −0.668780 0.105924i
\(599\) −32.5862 −1.33144 −0.665718 0.746204i \(-0.731874\pi\)
−0.665718 + 0.746204i \(0.731874\pi\)
\(600\) 4.31338 + 7.50964i 0.176093 + 0.306580i
\(601\) 25.6991 1.04829 0.524144 0.851630i \(-0.324386\pi\)
0.524144 + 0.851630i \(0.324386\pi\)
\(602\) 45.3092 + 7.17626i 1.84666 + 0.292483i
\(603\) −17.0616 + 22.0970i −0.694804 + 0.899857i
\(604\) 12.4569 + 4.04749i 0.506863 + 0.164690i
\(605\) 3.39389 + 0.561597i 0.137981 + 0.0228322i
\(606\) −4.14942 + 2.46019i −0.168559 + 0.0999383i
\(607\) 6.64949 6.64949i 0.269894 0.269894i −0.559163 0.829058i \(-0.688877\pi\)
0.829058 + 0.559163i \(0.188877\pi\)
\(608\) 4.42186 + 2.25305i 0.179330 + 0.0913732i
\(609\) −7.49452 + 17.3717i −0.303693 + 0.703939i
\(610\) 1.75893 + 2.45646i 0.0712168 + 0.0994591i
\(611\) −14.4115 19.8357i −0.583027 0.802469i
\(612\) 1.77405 + 2.59800i 0.0717117 + 0.105018i
\(613\) −4.00713 25.3000i −0.161846 1.02186i −0.926192 0.377052i \(-0.876938\pi\)
0.764346 0.644807i \(-0.223062\pi\)
\(614\) 7.52651 5.46833i 0.303745 0.220684i
\(615\) 0.968500 + 4.45393i 0.0390537 + 0.179600i
\(616\) −11.2632 8.18320i −0.453808 0.329711i
\(617\) 20.5976 40.4250i 0.829227 1.62745i 0.0516476 0.998665i \(-0.483553\pi\)
0.777580 0.628785i \(-0.216447\pi\)
\(618\) −16.3921 10.3772i −0.659387 0.417433i
\(619\) −42.4716 + 13.7999i −1.70708 + 0.554663i −0.989843 0.142168i \(-0.954593\pi\)
−0.717235 + 0.696831i \(0.754593\pi\)
\(620\) 3.28344 0.496822i 0.131866 0.0199528i
\(621\) 13.8613 + 38.1023i 0.556235 + 1.52899i
\(622\) 5.17155 + 10.1497i 0.207360 + 0.406967i
\(623\) −1.62786 + 10.2779i −0.0652189 + 0.411776i
\(624\) −3.58608 + 0.805769i −0.143558 + 0.0322566i
\(625\) 20.6237 14.1303i 0.824946 0.565211i
\(626\) 23.9326i 0.956539i
\(627\) −1.94492 30.3751i −0.0776728 1.21306i
\(628\) −7.72488 + 3.93602i −0.308256 + 0.157064i
\(629\) −0.351583 + 1.08206i −0.0140185 + 0.0431446i
\(630\) −21.8833 + 14.7225i −0.871851 + 0.586557i
\(631\) −12.3680 38.0648i −0.492363 1.51534i −0.821027 0.570890i \(-0.806598\pi\)
0.328664 0.944447i \(-0.393402\pi\)
\(632\) 10.7364 + 10.7364i 0.427073 + 0.427073i
\(633\) 3.54609 + 0.906283i 0.140945 + 0.0360215i
\(634\) 7.88706 10.8556i 0.313235 0.431131i
\(635\) −42.8689 0.296112i −1.70120 0.0117508i
\(636\) −4.87526 + 5.54230i −0.193317 + 0.219766i
\(637\) 17.7282 2.80788i 0.702418 0.111252i
\(638\) 9.71642 1.53893i 0.384677 0.0609268i
\(639\) 3.75029 6.85780i 0.148359 0.271290i
\(640\) −1.81805 + 1.30180i −0.0718648 + 0.0514582i
\(641\) −8.86726 + 12.2047i −0.350236 + 0.482058i −0.947396 0.320064i \(-0.896296\pi\)
0.597160 + 0.802122i \(0.296296\pi\)
\(642\) 2.17320 8.50326i 0.0857693 0.335597i
\(643\) 28.2993 + 28.2993i 1.11602 + 1.11602i 0.992320 + 0.123696i \(0.0394747\pi\)
0.123696 + 0.992320i \(0.460525\pi\)
\(644\) −9.48034 29.1775i −0.373578 1.14975i
\(645\) −45.1151 + 2.57596i −1.77641 + 0.101428i
\(646\) 1.60817 4.94945i 0.0632728 0.194734i
\(647\) 16.2495 8.27955i 0.638835 0.325503i −0.104398 0.994536i \(-0.533291\pi\)
0.743233 + 0.669033i \(0.233291\pi\)
\(648\) 5.98175 + 6.72448i 0.234985 + 0.264163i
\(649\) 22.3688i 0.878051i
\(650\) 3.13903 + 10.1353i 0.123123 + 0.397538i
\(651\) 2.21716 + 9.86750i 0.0868974 + 0.386738i
\(652\) 0.771116 4.86864i 0.0301992 0.190671i
\(653\) −11.3587 22.2926i −0.444499 0.872379i −0.999187 0.0403201i \(-0.987162\pi\)
0.554688 0.832059i \(-0.312838\pi\)
\(654\) 17.3766 + 1.62309i 0.679477 + 0.0634679i
\(655\) −12.0211 24.0011i −0.469703 0.937802i
\(656\) −1.11927 + 0.363674i −0.0437003 + 0.0141991i
\(657\) −9.02373 + 25.2402i −0.352049 + 0.984714i
\(658\) 20.6236 40.4762i 0.803993 1.57793i
\(659\) −20.1677 14.6527i −0.785623 0.570789i 0.121038 0.992648i \(-0.461378\pi\)
−0.906661 + 0.421859i \(0.861378\pi\)
\(660\) 12.5544 + 5.51939i 0.488679 + 0.214842i
\(661\) −17.0562 + 12.3921i −0.663411 + 0.481996i −0.867813 0.496891i \(-0.834475\pi\)
0.204402 + 0.978887i \(0.434475\pi\)
\(662\) 1.13607 + 7.17284i 0.0441545 + 0.278780i
\(663\) 1.42283 + 3.58204i 0.0552583 + 0.139115i
\(664\) 6.31204 + 8.68777i 0.244955 + 0.337151i
\(665\) 41.4011 + 13.7689i 1.60547 + 0.533935i
\(666\) −0.602805 + 3.19861i −0.0233582 + 0.123944i
\(667\) 19.3154 + 9.84171i 0.747897 + 0.381072i
\(668\) 5.82145 5.82145i 0.225239 0.225239i
\(669\) −9.40560 15.8637i −0.363641 0.613328i
\(670\) −9.57462 + 18.4747i −0.369900 + 0.713738i
\(671\) 4.55020 + 1.47845i 0.175659 + 0.0570750i
\(672\) −4.34665 5.24232i −0.167676 0.202227i
\(673\) 11.5267 + 1.82565i 0.444321 + 0.0703736i 0.374586 0.927192i \(-0.377785\pi\)
0.0697348 + 0.997566i \(0.477785\pi\)
\(674\) 25.4632 0.980806
\(675\) 17.9826 18.7517i 0.692150 0.721754i
\(676\) 8.49691 0.326804
\(677\) 23.2090 + 3.67594i 0.891993 + 0.141278i 0.585574 0.810619i \(-0.300869\pi\)
0.306419 + 0.951897i \(0.400869\pi\)
\(678\) 4.15998 + 5.01719i 0.159763 + 0.192684i
\(679\) 59.5978 + 19.3645i 2.28715 + 0.743142i
\(680\) 1.64655 + 1.66946i 0.0631425 + 0.0640209i
\(681\) −1.21838 2.05495i −0.0466884 0.0787459i
\(682\) 3.71848 3.71848i 0.142388 0.142388i
\(683\) −15.4895 7.89232i −0.592691 0.301991i 0.131799 0.991276i \(-0.457925\pi\)
−0.724490 + 0.689285i \(0.757925\pi\)
\(684\) 2.75729 14.6308i 0.105427 0.559421i
\(685\) 17.9157 5.68465i 0.684523 0.217199i
\(686\) 3.37046 + 4.63905i 0.128685 + 0.177120i
\(687\) 10.6133 + 26.7195i 0.404924 + 1.01941i
\(688\) −1.82522 11.5240i −0.0695859 0.439348i
\(689\) −7.31630 + 5.31560i −0.278729 + 0.202508i
\(690\) 15.2326 + 26.1010i 0.579893 + 0.993646i
\(691\) 3.69930 + 2.68770i 0.140728 + 0.102245i 0.655922 0.754829i \(-0.272280\pi\)
−0.515194 + 0.857074i \(0.672280\pi\)
\(692\) −2.07127 + 4.06510i −0.0787380 + 0.154532i
\(693\) −14.0605 + 39.3284i −0.534113 + 1.49396i
\(694\) −4.36272 + 1.41754i −0.165607 + 0.0538089i
\(695\) 4.24173 4.18354i 0.160898 0.158691i
\(696\) 4.79114 + 0.447526i 0.181608 + 0.0169634i
\(697\) 0.560278 + 1.09961i 0.0212220 + 0.0416506i
\(698\) 1.58650 10.0167i 0.0600498 0.379139i
\(699\) −9.42614 41.9511i −0.356529 1.58674i
\(700\) −14.0914 + 13.7074i −0.532606 + 0.518090i
\(701\) 44.4087i 1.67729i −0.544676 0.838646i \(-0.683348\pi\)
0.544676 0.838646i \(-0.316652\pi\)
\(702\) 5.34423 + 9.64482i 0.201705 + 0.364020i
\(703\) 4.79760 2.44450i 0.180945 0.0921960i
\(704\) −1.09422 + 3.36766i −0.0412399 + 0.126923i
\(705\) −11.3796 + 43.2777i −0.428581 + 1.62993i
\(706\) 3.77806 + 11.6277i 0.142189 + 0.437614i
\(707\) −7.74297 7.74297i −0.291204 0.291204i
\(708\) −2.70929 + 10.6009i −0.101821 + 0.398405i
\(709\) −10.6950 + 14.7204i −0.401659 + 0.552836i −0.961159 0.275994i \(-0.910993\pi\)
0.559500 + 0.828830i \(0.310993\pi\)
\(710\) 1.83853 5.52819i 0.0689988 0.207469i
\(711\) 21.8555 39.9652i 0.819647 1.49881i
\(712\) 2.61410 0.414033i 0.0979675 0.0155165i
\(713\) 11.4456 1.81280i 0.428640 0.0678900i
\(714\) −4.71660 + 5.36193i −0.176514 + 0.200665i
\(715\) 13.5246 + 9.96964i 0.505791 + 0.372844i
\(716\) 6.68853 9.20597i 0.249962 0.344043i
\(717\) 39.8666 + 10.1888i 1.48885 + 0.380508i
\(718\) 23.9500 + 23.9500i 0.893807 + 0.893807i
\(719\) −7.53117 23.1785i −0.280865 0.864414i −0.987608 0.156943i \(-0.949836\pi\)
0.706743 0.707471i \(-0.250164\pi\)
\(720\) 5.28120 + 4.13629i 0.196819 + 0.154151i
\(721\) 13.6089 41.8838i 0.506821 1.55984i
\(722\) −5.01554 + 2.55554i −0.186659 + 0.0951075i
\(723\) −0.699175 10.9195i −0.0260026 0.406099i
\(724\) 6.52939i 0.242663i
\(725\) 0.191892 13.8897i 0.00712670 0.515851i
\(726\) 2.59982 0.584163i 0.0964885 0.0216803i
\(727\) −7.37431 + 46.5595i −0.273498 + 1.72680i 0.342907 + 0.939369i \(0.388588\pi\)
−0.616405 + 0.787429i \(0.711412\pi\)
\(728\) −3.78778 7.43394i −0.140385 0.275520i
\(729\) 14.3150 22.8928i 0.530186 0.847881i
\(730\) −3.26164 + 19.7111i −0.120719 + 0.729539i
\(731\) −11.6363 + 3.78088i −0.430385 + 0.139841i
\(732\) 1.97734 + 1.25178i 0.0730845 + 0.0462670i
\(733\) 21.4583 42.1144i 0.792582 1.55553i −0.0384204 0.999262i \(-0.512233\pi\)
0.831003 0.556268i \(-0.187767\pi\)
\(734\) 3.84568 + 2.79405i 0.141947 + 0.103130i
\(735\) −24.4472 21.8062i −0.901749 0.804335i
\(736\) −6.31272 + 4.58646i −0.232690 + 0.169059i
\(737\) 5.15473 + 32.5457i 0.189877 + 1.19884i
\(738\) 1.99099 + 2.91569i 0.0732892 + 0.107328i
\(739\) −14.8135 20.3891i −0.544925 0.750025i 0.444388 0.895835i \(-0.353421\pi\)
−0.989313 + 0.145810i \(0.953421\pi\)
\(740\) −0.0167574 + 2.42601i −0.000616015 + 0.0891821i
\(741\) 7.22562 16.7485i 0.265440 0.615270i
\(742\) −14.9294 7.60691i −0.548075 0.279258i
\(743\) −35.5509 + 35.5509i −1.30424 + 1.30424i −0.378730 + 0.925507i \(0.623639\pi\)
−0.925507 + 0.378730i \(0.876361\pi\)
\(744\) 2.21262 1.31186i 0.0811186 0.0480952i
\(745\) −5.07746 33.5563i −0.186024 1.22941i
\(746\) −35.7760 11.6243i −1.30985 0.425597i
\(747\) 19.6888 25.4995i 0.720376 0.932977i
\(748\) 3.66749 + 0.580873i 0.134097 + 0.0212388i
\(749\) 19.9226 0.727958
\(750\) 10.6949 16.1437i 0.390521 0.589485i
\(751\) 13.6190 0.496964 0.248482 0.968636i \(-0.420068\pi\)
0.248482 + 0.968636i \(0.420068\pi\)
\(752\) −11.4118 1.80746i −0.416147 0.0659112i
\(753\) −18.4406 + 15.2899i −0.672013 + 0.557197i
\(754\) 5.60695 + 1.82181i 0.204193 + 0.0663463i
\(755\) −4.38172 28.9583i −0.159467 1.05390i
\(756\) −11.4269 + 16.9353i −0.415592 + 0.615931i
\(757\) 18.1299 18.1299i 0.658942 0.658942i −0.296188 0.955130i \(-0.595715\pi\)
0.955130 + 0.296188i \(0.0957154\pi\)
\(758\) −14.4898 7.38292i −0.526293 0.268160i
\(759\) 43.9416 + 18.9573i 1.59498 + 0.688107i