Properties

Label 378.2.u.b.337.1
Level 378
Weight 2
Character 378.337
Analytic conductor 3.018
Analytic rank 0
Dimension 12
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 378.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: 12.0.1952986685049.1
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 337.1
Root \(0.500000 + 1.68614i\)
Character \(\chi\) = 378.337
Dual form 378.2.u.b.295.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.173648 + 0.984808i) q^{2} +(-0.390623 + 1.68743i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.393151 + 0.329893i) q^{5} +(-1.72962 - 0.0916693i) q^{6} +(-0.939693 - 0.342020i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.69483 - 1.31830i) q^{9} +O(q^{10})\) \(q+(0.173648 + 0.984808i) q^{2} +(-0.390623 + 1.68743i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.393151 + 0.329893i) q^{5} +(-1.72962 - 0.0916693i) q^{6} +(-0.939693 - 0.342020i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.69483 - 1.31830i) q^{9} +(-0.256611 + 0.444463i) q^{10} +(-2.36944 + 1.98820i) q^{11} +(-0.210069 - 1.71926i) q^{12} +(-0.932962 + 5.29109i) q^{13} +(0.173648 - 0.984808i) q^{14} +(-0.710244 + 0.534550i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-2.52734 + 4.37748i) q^{17} +(0.830315 - 2.88281i) q^{18} +(-2.98025 - 5.16195i) q^{19} +(-0.482271 - 0.175532i) q^{20} +(0.944200 - 1.45206i) q^{21} +(-2.36944 - 1.98820i) q^{22} +(4.07388 - 1.48277i) q^{23} +(1.65667 - 0.505425i) q^{24} +(-0.822502 - 4.66464i) q^{25} -5.37272 q^{26} +(3.27719 - 4.03237i) q^{27} +1.00000 q^{28} +(0.663702 + 3.76404i) q^{29} +(-0.649762 - 0.606630i) q^{30} +(7.88809 - 2.87103i) q^{31} +(0.766044 + 0.642788i) q^{32} +(-2.42938 - 4.77489i) q^{33} +(-4.74984 - 1.72880i) q^{34} +(-0.256611 - 0.444463i) q^{35} +(2.98319 + 0.317107i) q^{36} +(-3.24546 + 5.62131i) q^{37} +(4.56601 - 3.83134i) q^{38} +(-8.56390 - 3.64113i) q^{39} +(0.0891201 - 0.505425i) q^{40} +(-1.73466 + 9.83777i) q^{41} +(1.59396 + 0.677707i) q^{42} +(-5.49764 + 4.61307i) q^{43} +(1.54654 - 2.67869i) q^{44} +(-0.624578 - 1.40729i) q^{45} +(2.16767 + 3.75451i) q^{46} +(12.7397 + 4.63687i) q^{47} +(0.785424 + 1.54373i) q^{48} +(0.766044 + 0.642788i) q^{49} +(4.45095 - 1.62001i) q^{50} +(-6.39944 - 5.97464i) q^{51} +(-0.932962 - 5.29109i) q^{52} -2.76100 q^{53} +(4.54019 + 2.52719i) q^{54} -1.58744 q^{55} +(0.173648 + 0.984808i) q^{56} +(9.87457 - 3.01259i) q^{57} +(-3.59161 + 1.30724i) q^{58} +(4.66659 + 3.91573i) q^{59} +(0.484584 - 0.745231i) q^{60} +(-5.17672 - 1.88417i) q^{61} +(4.19717 + 7.26970i) q^{62} +(2.08143 + 2.16048i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-2.11229 + 1.77242i) q^{65} +(4.28049 - 3.22162i) q^{66} +(0.300081 - 1.70184i) q^{67} +(0.877735 - 4.97788i) q^{68} +(0.910720 + 7.45358i) q^{69} +(0.393151 - 0.329893i) q^{70} +(-1.26583 + 2.19248i) q^{71} +(0.205737 + 2.99294i) q^{72} +(4.87689 + 8.44701i) q^{73} +(-6.09948 - 2.22003i) q^{74} +(8.19254 + 0.434201i) q^{75} +(4.56601 + 3.83134i) q^{76} +(2.90655 - 1.05790i) q^{77} +(2.09870 - 9.06607i) q^{78} +(-1.55175 - 8.80041i) q^{79} +0.513222 q^{80} +(5.52420 + 7.10516i) q^{81} -9.98953 q^{82} +(1.50665 + 8.54461i) q^{83} +(-0.390623 + 1.68743i) q^{84} +(-2.43772 + 0.887259i) q^{85} +(-5.49764 - 4.61307i) q^{86} +(-6.61081 - 0.350370i) q^{87} +(2.90655 + 1.05790i) q^{88} +(-0.964307 - 1.67023i) q^{89} +(1.27746 - 0.859463i) q^{90} +(2.68636 - 4.65291i) q^{91} +(-3.32106 + 2.78670i) q^{92} +(1.76339 + 14.4321i) q^{93} +(-2.35420 + 13.3513i) q^{94} +(0.531201 - 3.01259i) q^{95} +(-1.38389 + 1.04156i) q^{96} +(11.3975 - 9.56361i) q^{97} +(-0.500000 + 0.866025i) q^{98} +(9.00626 - 2.23423i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 3q^{3} - 6q^{6} - 6q^{8} + 9q^{9} + O(q^{10}) \) \( 12q + 3q^{3} - 6q^{6} - 6q^{8} + 9q^{9} + 3q^{11} - 6q^{12} + 12q^{13} + 9q^{15} - 9q^{18} + 12q^{19} - 9q^{20} + 3q^{21} + 3q^{22} + 12q^{23} + 3q^{24} - 24q^{25} - 18q^{26} + 18q^{27} + 12q^{28} - 3q^{29} + 21q^{31} - 27q^{33} + 9q^{34} + 15q^{37} + 15q^{38} - 48q^{39} + 9q^{40} + 12q^{41} + 3q^{42} + 21q^{43} + 12q^{44} - 9q^{45} - 6q^{46} + 12q^{47} + 3q^{48} + 21q^{50} - 9q^{51} + 12q^{52} - 42q^{53} - 27q^{54} - 12q^{55} + 33q^{57} - 3q^{58} + 18q^{59} - 18q^{60} + 9q^{62} + 9q^{63} - 6q^{64} - 36q^{65} - 9q^{66} - 33q^{67} - 18q^{68} + 9q^{69} + 24q^{71} - 18q^{72} + 9q^{73} - 36q^{74} - 33q^{75} + 15q^{76} + 3q^{77} - 21q^{78} + 9q^{81} - 24q^{82} + 15q^{83} + 3q^{84} - 24q^{85} + 21q^{86} + 3q^{88} - 51q^{89} + 9q^{91} - 6q^{92} - 30q^{93} - 15q^{94} - 45q^{95} + 3q^{96} + 48q^{97} - 6q^{98} + 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173648 + 0.984808i 0.122788 + 0.696364i
\(3\) −0.390623 + 1.68743i −0.225526 + 0.974237i
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) 0.393151 + 0.329893i 0.175822 + 0.147533i 0.726452 0.687217i \(-0.241168\pi\)
−0.550630 + 0.834750i \(0.685612\pi\)
\(6\) −1.72962 0.0916693i −0.706116 0.0374238i
\(7\) −0.939693 0.342020i −0.355170 0.129271i
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) −2.69483 1.31830i −0.898276 0.439432i
\(10\) −0.256611 + 0.444463i −0.0811475 + 0.140552i
\(11\) −2.36944 + 1.98820i −0.714413 + 0.599464i −0.925834 0.377932i \(-0.876635\pi\)
0.211421 + 0.977395i \(0.432191\pi\)
\(12\) −0.210069 1.71926i −0.0606418 0.496309i
\(13\) −0.932962 + 5.29109i −0.258757 + 1.46748i 0.527484 + 0.849565i \(0.323135\pi\)
−0.786241 + 0.617920i \(0.787976\pi\)
\(14\) 0.173648 0.984808i 0.0464094 0.263201i
\(15\) −0.710244 + 0.534550i −0.183384 + 0.138020i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −2.52734 + 4.37748i −0.612969 + 1.06169i 0.377768 + 0.925900i \(0.376692\pi\)
−0.990737 + 0.135794i \(0.956642\pi\)
\(18\) 0.830315 2.88281i 0.195707 0.679484i
\(19\) −2.98025 5.16195i −0.683717 1.18423i −0.973838 0.227242i \(-0.927029\pi\)
0.290122 0.956990i \(-0.406304\pi\)
\(20\) −0.482271 0.175532i −0.107839 0.0392502i
\(21\) 0.944200 1.45206i 0.206041 0.316866i
\(22\) −2.36944 1.98820i −0.505166 0.423885i
\(23\) 4.07388 1.48277i 0.849462 0.309179i 0.119641 0.992817i \(-0.461826\pi\)
0.729821 + 0.683638i \(0.239603\pi\)
\(24\) 1.65667 0.505425i 0.338166 0.103169i
\(25\) −0.822502 4.66464i −0.164500 0.932929i
\(26\) −5.37272 −1.05368
\(27\) 3.27719 4.03237i 0.630695 0.776031i
\(28\) 1.00000 0.188982
\(29\) 0.663702 + 3.76404i 0.123246 + 0.698965i 0.982334 + 0.187136i \(0.0599207\pi\)
−0.859088 + 0.511829i \(0.828968\pi\)
\(30\) −0.649762 0.606630i −0.118630 0.110755i
\(31\) 7.88809 2.87103i 1.41674 0.515652i 0.483642 0.875266i \(-0.339314\pi\)
0.933101 + 0.359614i \(0.117092\pi\)
\(32\) 0.766044 + 0.642788i 0.135419 + 0.113630i
\(33\) −2.42938 4.77489i −0.422901 0.831202i
\(34\) −4.74984 1.72880i −0.814591 0.296487i
\(35\) −0.256611 0.444463i −0.0433752 0.0751280i
\(36\) 2.98319 + 0.317107i 0.497199 + 0.0528511i
\(37\) −3.24546 + 5.62131i −0.533551 + 0.924137i 0.465681 + 0.884953i \(0.345809\pi\)
−0.999232 + 0.0391846i \(0.987524\pi\)
\(38\) 4.56601 3.83134i 0.740705 0.621525i
\(39\) −8.56390 3.64113i −1.37132 0.583047i
\(40\) 0.0891201 0.505425i 0.0140911 0.0799147i
\(41\) −1.73466 + 9.83777i −0.270909 + 1.53640i 0.480755 + 0.876855i \(0.340363\pi\)
−0.751664 + 0.659546i \(0.770748\pi\)
\(42\) 1.59396 + 0.677707i 0.245954 + 0.104572i
\(43\) −5.49764 + 4.61307i −0.838383 + 0.703487i −0.957199 0.289430i \(-0.906534\pi\)
0.118817 + 0.992916i \(0.462090\pi\)
\(44\) 1.54654 2.67869i 0.233150 0.403828i
\(45\) −0.624578 1.40729i −0.0931066 0.209787i
\(46\) 2.16767 + 3.75451i 0.319605 + 0.553572i
\(47\) 12.7397 + 4.63687i 1.85828 + 0.676357i 0.980256 + 0.197734i \(0.0633583\pi\)
0.878021 + 0.478623i \(0.158864\pi\)
\(48\) 0.785424 + 1.54373i 0.113366 + 0.222819i
\(49\) 0.766044 + 0.642788i 0.109435 + 0.0918268i
\(50\) 4.45095 1.62001i 0.629460 0.229105i
\(51\) −6.39944 5.97464i −0.896101 0.836617i
\(52\) −0.932962 5.29109i −0.129379 0.733742i
\(53\) −2.76100 −0.379253 −0.189627 0.981856i \(-0.560728\pi\)
−0.189627 + 0.981856i \(0.560728\pi\)
\(54\) 4.54019 + 2.52719i 0.617842 + 0.343907i
\(55\) −1.58744 −0.214050
\(56\) 0.173648 + 0.984808i 0.0232047 + 0.131600i
\(57\) 9.87457 3.01259i 1.30792 0.399027i
\(58\) −3.59161 + 1.30724i −0.471601 + 0.171649i
\(59\) 4.66659 + 3.91573i 0.607538 + 0.509785i 0.893859 0.448349i \(-0.147988\pi\)
−0.286321 + 0.958134i \(0.592432\pi\)
\(60\) 0.484584 0.745231i 0.0625595 0.0962089i
\(61\) −5.17672 1.88417i −0.662812 0.241244i −0.0113618 0.999935i \(-0.503617\pi\)
−0.651450 + 0.758692i \(0.725839\pi\)
\(62\) 4.19717 + 7.26970i 0.533041 + 0.923253i
\(63\) 2.08143 + 2.16048i 0.262235 + 0.272195i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −2.11229 + 1.77242i −0.261997 + 0.219842i
\(66\) 4.28049 3.22162i 0.526892 0.396555i
\(67\) 0.300081 1.70184i 0.0366607 0.207913i −0.960975 0.276635i \(-0.910781\pi\)
0.997636 + 0.0687214i \(0.0218920\pi\)
\(68\) 0.877735 4.97788i 0.106441 0.603657i
\(69\) 0.910720 + 7.45358i 0.109638 + 0.897306i
\(70\) 0.393151 0.329893i 0.0469905 0.0394297i
\(71\) −1.26583 + 2.19248i −0.150226 + 0.260200i −0.931311 0.364226i \(-0.881334\pi\)
0.781084 + 0.624426i \(0.214667\pi\)
\(72\) 0.205737 + 2.99294i 0.0242463 + 0.352721i
\(73\) 4.87689 + 8.44701i 0.570796 + 0.988648i 0.996484 + 0.0837783i \(0.0266987\pi\)
−0.425688 + 0.904870i \(0.639968\pi\)
\(74\) −6.09948 2.22003i −0.709050 0.258073i
\(75\) 8.19254 + 0.434201i 0.945993 + 0.0501372i
\(76\) 4.56601 + 3.83134i 0.523757 + 0.439485i
\(77\) 2.90655 1.05790i 0.331232 0.120559i
\(78\) 2.09870 9.06607i 0.237631 1.02653i
\(79\) −1.55175 8.80041i −0.174586 0.990124i −0.938621 0.344950i \(-0.887896\pi\)
0.764036 0.645174i \(-0.223215\pi\)
\(80\) 0.513222 0.0573800
\(81\) 5.52420 + 7.10516i 0.613800 + 0.789462i
\(82\) −9.98953 −1.10316
\(83\) 1.50665 + 8.54461i 0.165376 + 0.937893i 0.948676 + 0.316249i \(0.102424\pi\)
−0.783300 + 0.621643i \(0.786465\pi\)
\(84\) −0.390623 + 1.68743i −0.0426204 + 0.184114i
\(85\) −2.43772 + 0.887259i −0.264408 + 0.0962367i
\(86\) −5.49764 4.61307i −0.592826 0.497440i
\(87\) −6.61081 0.350370i −0.708753 0.0375636i
\(88\) 2.90655 + 1.05790i 0.309839 + 0.112772i
\(89\) −0.964307 1.67023i −0.102216 0.177044i 0.810381 0.585903i \(-0.199260\pi\)
−0.912597 + 0.408859i \(0.865927\pi\)
\(90\) 1.27746 0.859463i 0.134656 0.0905954i
\(91\) 2.68636 4.65291i 0.281607 0.487757i
\(92\) −3.32106 + 2.78670i −0.346244 + 0.290533i
\(93\) 1.76339 + 14.4321i 0.182855 + 1.49654i
\(94\) −2.35420 + 13.3513i −0.242817 + 1.37709i
\(95\) 0.531201 3.01259i 0.0545000 0.309085i
\(96\) −1.38389 + 1.04156i −0.141243 + 0.106304i
\(97\) 11.3975 9.56361i 1.15724 0.971038i 0.157374 0.987539i \(-0.449697\pi\)
0.999864 + 0.0165013i \(0.00525278\pi\)
\(98\) −0.500000 + 0.866025i −0.0505076 + 0.0874818i
\(99\) 9.00626 2.23423i 0.905163 0.224548i
\(100\) 2.36830 + 4.10202i 0.236830 + 0.410202i
\(101\) 5.76899 + 2.09974i 0.574036 + 0.208932i 0.612694 0.790320i \(-0.290086\pi\)
−0.0386575 + 0.999253i \(0.512308\pi\)
\(102\) 4.77262 7.33971i 0.472560 0.726739i
\(103\) −2.42271 2.03290i −0.238717 0.200307i 0.515579 0.856842i \(-0.327577\pi\)
−0.754296 + 0.656535i \(0.772021\pi\)
\(104\) 5.04870 1.83758i 0.495066 0.180189i
\(105\) 0.850238 0.259395i 0.0829747 0.0253144i
\(106\) −0.479443 2.71906i −0.0465677 0.264098i
\(107\) −10.2826 −0.994053 −0.497027 0.867735i \(-0.665575\pi\)
−0.497027 + 0.867735i \(0.665575\pi\)
\(108\) −1.70040 + 4.91006i −0.163621 + 0.472470i
\(109\) −13.2045 −1.26476 −0.632382 0.774657i \(-0.717922\pi\)
−0.632382 + 0.774657i \(0.717922\pi\)
\(110\) −0.275656 1.56332i −0.0262828 0.149057i
\(111\) −8.21780 7.67230i −0.779999 0.728222i
\(112\) −0.939693 + 0.342020i −0.0887926 + 0.0323179i
\(113\) 12.2719 + 10.2973i 1.15444 + 0.968691i 0.999814 0.0192821i \(-0.00613805\pi\)
0.154627 + 0.987973i \(0.450582\pi\)
\(114\) 4.68152 + 9.20142i 0.438465 + 0.861792i
\(115\) 2.09080 + 0.760991i 0.194969 + 0.0709627i
\(116\) −1.91105 3.31004i −0.177437 0.307330i
\(117\) 9.48939 13.0287i 0.877295 1.20450i
\(118\) −3.04590 + 5.27565i −0.280398 + 0.485663i
\(119\) 3.87211 3.24908i 0.354955 0.297843i
\(120\) 0.818056 + 0.347814i 0.0746780 + 0.0317509i
\(121\) −0.248809 + 1.41107i −0.0226190 + 0.128279i
\(122\) 0.956620 5.42526i 0.0866083 0.491180i
\(123\) −15.9229 6.76997i −1.43572 0.610428i
\(124\) −6.43043 + 5.39577i −0.577470 + 0.484555i
\(125\) 2.49852 4.32756i 0.223474 0.387069i
\(126\) −1.76622 + 2.42497i −0.157347 + 0.216033i
\(127\) 1.75096 + 3.03275i 0.155372 + 0.269113i 0.933195 0.359372i \(-0.117009\pi\)
−0.777822 + 0.628484i \(0.783676\pi\)
\(128\) −0.939693 0.342020i −0.0830579 0.0302306i
\(129\) −5.63672 11.0788i −0.496286 0.975438i
\(130\) −2.11229 1.77242i −0.185260 0.155452i
\(131\) 1.06148 0.386349i 0.0927424 0.0337555i −0.295232 0.955426i \(-0.595397\pi\)
0.387975 + 0.921670i \(0.373175\pi\)
\(132\) 3.91598 + 3.65603i 0.340842 + 0.318217i
\(133\) 1.03503 + 5.86995i 0.0897485 + 0.508989i
\(134\) 1.72810 0.149285
\(135\) 2.61868 0.504210i 0.225380 0.0433955i
\(136\) 5.05467 0.433435
\(137\) −2.42814 13.7707i −0.207450 1.17651i −0.893537 0.448989i \(-0.851784\pi\)
0.686087 0.727519i \(-0.259327\pi\)
\(138\) −7.18220 + 2.19119i −0.611389 + 0.186526i
\(139\) 19.0114 6.91960i 1.61253 0.586913i 0.630592 0.776115i \(-0.282812\pi\)
0.981938 + 0.189202i \(0.0605900\pi\)
\(140\) 0.393151 + 0.329893i 0.0332273 + 0.0278810i
\(141\) −12.8008 + 19.6861i −1.07802 + 1.65787i
\(142\) −2.37898 0.865878i −0.199640 0.0726629i
\(143\) −8.30913 14.3918i −0.694844 1.20351i
\(144\) −2.91174 + 0.722330i −0.242645 + 0.0601941i
\(145\) −0.980795 + 1.69879i −0.0814506 + 0.141077i
\(146\) −7.47182 + 6.26960i −0.618372 + 0.518876i
\(147\) −1.38389 + 1.04156i −0.114142 + 0.0859062i
\(148\) 1.12714 6.39232i 0.0926501 0.525445i
\(149\) 2.96384 16.8088i 0.242808 1.37703i −0.582722 0.812671i \(-0.698012\pi\)
0.825530 0.564359i \(-0.190876\pi\)
\(150\) 0.995015 + 8.14347i 0.0812426 + 0.664912i
\(151\) −3.26353 + 2.73842i −0.265582 + 0.222850i −0.765847 0.643022i \(-0.777680\pi\)
0.500265 + 0.865872i \(0.333236\pi\)
\(152\) −2.98025 + 5.16195i −0.241730 + 0.418689i
\(153\) 12.5815 8.46477i 1.01716 0.684336i
\(154\) 1.54654 + 2.67869i 0.124624 + 0.215855i
\(155\) 4.04834 + 1.47348i 0.325171 + 0.118352i
\(156\) 9.29277 + 0.492513i 0.744017 + 0.0394326i
\(157\) 3.23919 + 2.71801i 0.258516 + 0.216921i 0.762829 0.646600i \(-0.223810\pi\)
−0.504313 + 0.863521i \(0.668254\pi\)
\(158\) 8.39725 3.05635i 0.668050 0.243150i
\(159\) 1.07851 4.65900i 0.0855314 0.369482i
\(160\) 0.0891201 + 0.505425i 0.00704556 + 0.0399574i
\(161\) −4.33533 −0.341672
\(162\) −6.03795 + 6.67407i −0.474386 + 0.524364i
\(163\) 7.92166 0.620473 0.310236 0.950659i \(-0.399592\pi\)
0.310236 + 0.950659i \(0.399592\pi\)
\(164\) −1.73466 9.83777i −0.135454 0.768201i
\(165\) 0.620089 2.67869i 0.0482739 0.208536i
\(166\) −8.15317 + 2.96751i −0.632809 + 0.230324i
\(167\) −3.52901 2.96119i −0.273083 0.229144i 0.495953 0.868349i \(-0.334819\pi\)
−0.769036 + 0.639206i \(0.779263\pi\)
\(168\) −1.72962 0.0916693i −0.133443 0.00707244i
\(169\) −14.9092 5.42652i −1.14686 0.417424i
\(170\) −1.29709 2.24662i −0.0994819 0.172308i
\(171\) 1.22630 + 17.8394i 0.0937772 + 1.36421i
\(172\) 3.58833 6.21517i 0.273608 0.473902i
\(173\) −13.8989 + 11.6626i −1.05671 + 0.886688i −0.993783 0.111330i \(-0.964489\pi\)
−0.0629298 + 0.998018i \(0.520044\pi\)
\(174\) −0.802908 6.57122i −0.0608683 0.498163i
\(175\) −0.822502 + 4.66464i −0.0621753 + 0.352614i
\(176\) −0.537108 + 3.04609i −0.0404861 + 0.229608i
\(177\) −8.43039 + 6.34496i −0.633667 + 0.476916i
\(178\) 1.47740 1.23969i 0.110736 0.0929186i
\(179\) −4.86117 + 8.41980i −0.363341 + 0.629325i −0.988508 0.151165i \(-0.951697\pi\)
0.625167 + 0.780491i \(0.285031\pi\)
\(180\) 1.06823 + 1.10880i 0.0796215 + 0.0826454i
\(181\) 2.02362 + 3.50501i 0.150414 + 0.260525i 0.931380 0.364049i \(-0.118606\pi\)
−0.780965 + 0.624574i \(0.785273\pi\)
\(182\) 5.04870 + 1.83758i 0.374235 + 0.136210i
\(183\) 5.20155 7.99935i 0.384510 0.591329i
\(184\) −3.32106 2.78670i −0.244832 0.205438i
\(185\) −3.13039 + 1.13937i −0.230151 + 0.0837679i
\(186\) −13.9066 + 4.24271i −1.01968 + 0.311090i
\(187\) −2.71491 15.3970i −0.198534 1.12594i
\(188\) −13.5573 −0.988768
\(189\) −4.45870 + 2.66833i −0.324323 + 0.194092i
\(190\) 3.05906 0.221928
\(191\) −0.774454 4.39215i −0.0560375 0.317805i 0.943885 0.330275i \(-0.107142\pi\)
−0.999922 + 0.0124705i \(0.996030\pi\)
\(192\) −1.26604 1.18200i −0.0913689 0.0853037i
\(193\) 24.2997 8.84437i 1.74913 0.636632i 0.749455 0.662056i \(-0.230316\pi\)
0.999677 + 0.0254240i \(0.00809358\pi\)
\(194\) 11.3975 + 9.56361i 0.818291 + 0.686627i
\(195\) −2.16572 4.25668i −0.155091 0.304827i
\(196\) −0.939693 0.342020i −0.0671209 0.0244300i
\(197\) −4.47758 7.75539i −0.319014 0.552549i 0.661268 0.750149i \(-0.270018\pi\)
−0.980283 + 0.197601i \(0.936685\pi\)
\(198\) 3.76420 + 8.48147i 0.267510 + 0.602752i
\(199\) 6.23620 10.8014i 0.442072 0.765692i −0.555771 0.831336i \(-0.687577\pi\)
0.997843 + 0.0656438i \(0.0209101\pi\)
\(200\) −3.62845 + 3.04463i −0.256570 + 0.215288i
\(201\) 2.75452 + 1.17114i 0.194289 + 0.0826060i
\(202\) −1.06607 + 6.04596i −0.0750082 + 0.425393i
\(203\) 0.663702 3.76404i 0.0465828 0.264184i
\(204\) 8.05696 + 3.42559i 0.564100 + 0.239839i
\(205\) −3.92739 + 3.29547i −0.274301 + 0.230166i
\(206\) 1.58131 2.73891i 0.110175 0.190829i
\(207\) −12.9331 1.37476i −0.898915 0.0955526i
\(208\) 2.68636 + 4.65291i 0.186265 + 0.322621i
\(209\) 17.3245 + 6.30560i 1.19836 + 0.436167i
\(210\) 0.403097 + 0.792278i 0.0278163 + 0.0546723i
\(211\) −6.02509 5.05565i −0.414784 0.348045i 0.411391 0.911459i \(-0.365043\pi\)
−0.826175 + 0.563414i \(0.809488\pi\)
\(212\) 2.59450 0.944319i 0.178191 0.0648561i
\(213\) −3.20519 2.99243i −0.219616 0.205038i
\(214\) −1.78555 10.1263i −0.122058 0.692223i
\(215\) −3.68322 −0.251194
\(216\) −5.13073 0.821942i −0.349102 0.0559261i
\(217\) −8.39433 −0.569844
\(218\) −2.29294 13.0039i −0.155297 0.880736i
\(219\) −16.1588 + 4.92980i −1.09191 + 0.333125i
\(220\) 1.49170 0.542936i 0.100571 0.0366047i
\(221\) −20.8037 17.4564i −1.39941 1.17424i
\(222\) 6.12873 9.42524i 0.411333 0.632580i
\(223\) −16.0603 5.84548i −1.07548 0.391442i −0.257255 0.966343i \(-0.582818\pi\)
−0.818223 + 0.574902i \(0.805040\pi\)
\(224\) −0.500000 0.866025i −0.0334077 0.0578638i
\(225\) −3.93287 + 13.6547i −0.262192 + 0.910314i
\(226\) −8.00990 + 13.8735i −0.532810 + 0.922855i
\(227\) −5.05684 + 4.24319i −0.335634 + 0.281630i −0.794991 0.606621i \(-0.792524\pi\)
0.459357 + 0.888252i \(0.348080\pi\)
\(228\) −8.24869 + 6.20821i −0.546283 + 0.411149i
\(229\) −0.828025 + 4.69596i −0.0547174 + 0.310318i −0.999867 0.0163204i \(-0.994805\pi\)
0.945149 + 0.326638i \(0.105916\pi\)
\(230\) −0.386365 + 2.19119i −0.0254762 + 0.144482i
\(231\) 0.649762 + 5.31783i 0.0427512 + 0.349887i
\(232\) 2.92791 2.45680i 0.192226 0.161297i
\(233\) 9.05529 15.6842i 0.593232 1.02751i −0.400562 0.916270i \(-0.631185\pi\)
0.993794 0.111238i \(-0.0354816\pi\)
\(234\) 14.4785 + 7.08282i 0.946492 + 0.463019i
\(235\) 3.47895 + 6.02573i 0.226942 + 0.393075i
\(236\) −5.72442 2.08352i −0.372628 0.135625i
\(237\) 15.4562 + 0.819172i 1.00399 + 0.0532110i
\(238\) 3.87211 + 3.24908i 0.250991 + 0.210607i
\(239\) −22.1658 + 8.06771i −1.43379 + 0.521857i −0.938015 0.346595i \(-0.887338\pi\)
−0.495775 + 0.868451i \(0.665116\pi\)
\(240\) −0.200476 + 0.866025i −0.0129407 + 0.0559017i
\(241\) 3.78666 + 21.4752i 0.243921 + 1.38334i 0.822986 + 0.568061i \(0.192306\pi\)
−0.579066 + 0.815281i \(0.696583\pi\)
\(242\) −1.43283 −0.0921061
\(243\) −14.1473 + 6.54625i −0.907551 + 0.419942i
\(244\) 5.50895 0.352675
\(245\) 0.0891201 + 0.505425i 0.00569367 + 0.0322904i
\(246\) 3.90214 16.8566i 0.248791 1.07474i
\(247\) 30.0928 10.9529i 1.91476 0.696915i
\(248\) −6.43043 5.39577i −0.408333 0.342632i
\(249\) −15.0069 0.795362i −0.951027 0.0504040i
\(250\) 4.69568 + 1.70909i 0.296981 + 0.108092i
\(251\) −4.88921 8.46835i −0.308604 0.534518i 0.669453 0.742854i \(-0.266528\pi\)
−0.978057 + 0.208336i \(0.933195\pi\)
\(252\) −2.69483 1.31830i −0.169758 0.0830448i
\(253\) −6.70477 + 11.6130i −0.421525 + 0.730103i
\(254\) −2.68262 + 2.25099i −0.168323 + 0.141240i
\(255\) −0.544956 4.46007i −0.0341264 0.279300i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 2.11629 12.0021i 0.132011 0.748670i −0.844884 0.534949i \(-0.820331\pi\)
0.976895 0.213720i \(-0.0685582\pi\)
\(258\) 9.93173 7.47491i 0.618322 0.465367i
\(259\) 4.97234 4.17229i 0.308966 0.259253i
\(260\) 1.37870 2.38798i 0.0855032 0.148096i
\(261\) 3.17356 11.0184i 0.196438 0.682022i
\(262\) 0.564804 + 0.978270i 0.0348937 + 0.0604377i
\(263\) −3.15523 1.14841i −0.194560 0.0708140i 0.242903 0.970051i \(-0.421900\pi\)
−0.437462 + 0.899237i \(0.644123\pi\)
\(264\) −2.92049 + 4.49135i −0.179744 + 0.276424i
\(265\) −1.08549 0.910835i −0.0666812 0.0559522i
\(266\) −5.60104 + 2.03861i −0.343422 + 0.124995i
\(267\) 3.19507 0.974769i 0.195535 0.0596549i
\(268\) 0.300081 + 1.70184i 0.0183304 + 0.103957i
\(269\) 6.33461 0.386228 0.193114 0.981176i \(-0.438141\pi\)
0.193114 + 0.981176i \(0.438141\pi\)
\(270\) 0.951279 + 2.49134i 0.0578930 + 0.151618i
\(271\) −26.6659 −1.61984 −0.809918 0.586543i \(-0.800488\pi\)
−0.809918 + 0.586543i \(0.800488\pi\)
\(272\) 0.877735 + 4.97788i 0.0532205 + 0.301828i
\(273\) 6.80210 + 6.35057i 0.411682 + 0.384354i
\(274\) 13.1398 4.78251i 0.793806 0.288922i
\(275\) 11.2231 + 9.41729i 0.676778 + 0.567884i
\(276\) −3.40507 6.69259i −0.204961 0.402847i
\(277\) 27.0491 + 9.84506i 1.62522 + 0.591532i 0.984367 0.176130i \(-0.0563577\pi\)
0.640855 + 0.767662i \(0.278580\pi\)
\(278\) 10.1158 + 17.5210i 0.606704 + 1.05084i
\(279\) −25.0419 2.66190i −1.49922 0.159364i
\(280\) −0.256611 + 0.444463i −0.0153354 + 0.0265618i
\(281\) −3.47016 + 2.91181i −0.207012 + 0.173704i −0.740399 0.672167i \(-0.765363\pi\)
0.533387 + 0.845871i \(0.320919\pi\)
\(282\) −21.6098 9.18788i −1.28685 0.547130i
\(283\) 1.89488 10.7464i 0.112639 0.638808i −0.875253 0.483665i \(-0.839305\pi\)
0.987892 0.155143i \(-0.0495837\pi\)
\(284\) 0.439618 2.49320i 0.0260865 0.147944i
\(285\) 4.87603 + 2.07315i 0.288831 + 0.122803i
\(286\) 12.7303 10.6820i 0.752760 0.631640i
\(287\) 4.99477 8.65119i 0.294832 0.510663i
\(288\) −1.21697 2.74207i −0.0717109 0.161578i
\(289\) −4.27487 7.40428i −0.251463 0.435546i
\(290\) −1.84329 0.670904i −0.108242 0.0393968i
\(291\) 11.6858 + 22.9682i 0.685034 + 1.34642i
\(292\) −7.47182 6.26960i −0.437255 0.366901i
\(293\) 7.55989 2.75158i 0.441654 0.160749i −0.111615 0.993751i \(-0.535602\pi\)
0.553269 + 0.833003i \(0.313380\pi\)
\(294\) −1.26604 1.18200i −0.0738372 0.0689358i
\(295\) 0.542901 + 3.07895i 0.0316089 + 0.179263i
\(296\) 6.49093 0.377277
\(297\) 0.252047 + 16.0702i 0.0146252 + 0.932485i
\(298\) 17.0681 0.988728
\(299\) 4.04470 + 22.9386i 0.233911 + 1.32658i
\(300\) −7.84697 + 2.39400i −0.453045 + 0.138218i
\(301\) 6.74386 2.45456i 0.388709 0.141479i
\(302\) −3.26353 2.73842i −0.187795 0.157579i
\(303\) −5.79666 + 8.91455i −0.333010 + 0.512128i
\(304\) −5.60104 2.03861i −0.321242 0.116922i
\(305\) −1.41366 2.44853i −0.0809459 0.140202i
\(306\) 10.5209 + 10.9205i 0.601442 + 0.624284i
\(307\) 6.95649 12.0490i 0.397028 0.687673i −0.596330 0.802740i \(-0.703375\pi\)
0.993358 + 0.115067i \(0.0367082\pi\)
\(308\) −2.36944 + 1.98820i −0.135011 + 0.113288i
\(309\) 4.37673 3.29406i 0.248984 0.187392i
\(310\) −0.748103 + 4.24271i −0.0424894 + 0.240969i
\(311\) −5.87079 + 33.2949i −0.332902 + 1.88798i 0.114137 + 0.993465i \(0.463590\pi\)
−0.447039 + 0.894514i \(0.647521\pi\)
\(312\) 1.12864 + 9.23712i 0.0638968 + 0.522949i
\(313\) 3.00461 2.52117i 0.169831 0.142505i −0.553911 0.832576i \(-0.686865\pi\)
0.723742 + 0.690071i \(0.242421\pi\)
\(314\) −2.11423 + 3.66196i −0.119313 + 0.206656i
\(315\) 0.105589 + 1.53604i 0.00594925 + 0.0865461i
\(316\) 4.46809 + 7.73895i 0.251349 + 0.435350i
\(317\) −4.59946 1.67407i −0.258332 0.0940250i 0.209608 0.977786i \(-0.432781\pi\)
−0.467939 + 0.883761i \(0.655003\pi\)
\(318\) 4.77550 + 0.253099i 0.267797 + 0.0141931i
\(319\) −9.05626 7.59910i −0.507053 0.425468i
\(320\) −0.482271 + 0.175532i −0.0269598 + 0.00981255i
\(321\) 4.01660 17.3511i 0.224185 0.968443i
\(322\) −0.752822 4.26947i −0.0419532 0.237928i
\(323\) 30.1284 1.67639
\(324\) −7.62115 4.78728i −0.423397 0.265960i
\(325\) 25.4484 1.41162
\(326\) 1.37558 + 7.80132i 0.0761865 + 0.432075i
\(327\) 5.15798 22.2817i 0.285237 1.23218i
\(328\) 9.38709 3.41662i 0.518315 0.188651i
\(329\) −10.3855 8.71447i −0.572571 0.480444i
\(330\) 2.74567 + 0.145519i 0.151144 + 0.00801058i
\(331\) 20.5155 + 7.46702i 1.12763 + 0.410425i 0.837432 0.546541i \(-0.184056\pi\)
0.290200 + 0.956966i \(0.406278\pi\)
\(332\) −4.33821 7.51400i −0.238090 0.412385i
\(333\) 16.1565 10.8700i 0.885371 0.595671i
\(334\) 2.30340 3.98960i 0.126036 0.218301i
\(335\) 0.679403 0.570086i 0.0371197 0.0311472i
\(336\) −0.210069 1.71926i −0.0114602 0.0937936i
\(337\) −0.914925 + 5.18880i −0.0498391 + 0.282652i −0.999534 0.0305249i \(-0.990282\pi\)
0.949695 + 0.313177i \(0.101393\pi\)
\(338\) 2.75511 15.6250i 0.149858 0.849890i
\(339\) −22.1697 + 16.6855i −1.20409 + 0.906234i
\(340\) 1.98725 1.66750i 0.107774 0.0904329i
\(341\) −12.9822 + 22.4858i −0.703025 + 1.21767i
\(342\) −17.3554 + 4.30545i −0.938475 + 0.232812i
\(343\) −0.500000 0.866025i −0.0269975 0.0467610i
\(344\) 6.74386 + 2.45456i 0.363604 + 0.132341i
\(345\) −2.10083 + 3.23082i −0.113105 + 0.173942i
\(346\) −13.8989 11.6626i −0.747209 0.626983i
\(347\) 16.2565 5.91688i 0.872694 0.317635i 0.133436 0.991057i \(-0.457399\pi\)
0.739258 + 0.673423i \(0.235177\pi\)
\(348\) 6.33196 1.93179i 0.339429 0.103555i
\(349\) 1.89577 + 10.7514i 0.101478 + 0.575511i 0.992569 + 0.121686i \(0.0388300\pi\)
−0.891090 + 0.453826i \(0.850059\pi\)
\(350\) −4.73660 −0.253182
\(351\) 18.2782 + 21.1020i 0.975616 + 1.12634i
\(352\) −3.09308 −0.164862
\(353\) 2.51607 + 14.2694i 0.133917 + 0.759482i 0.975608 + 0.219521i \(0.0704496\pi\)
−0.841691 + 0.539960i \(0.818439\pi\)
\(354\) −7.71249 7.20052i −0.409914 0.382704i
\(355\) −1.22095 + 0.444388i −0.0648011 + 0.0235857i
\(356\) 1.47740 + 1.23969i 0.0783022 + 0.0657034i
\(357\) 3.97006 + 7.80306i 0.210118 + 0.412982i
\(358\) −9.13602 3.32524i −0.482854 0.175744i
\(359\) −12.3652 21.4171i −0.652609 1.13035i −0.982487 0.186329i \(-0.940341\pi\)
0.329878 0.944024i \(-0.392992\pi\)
\(360\) −0.906463 + 1.24455i −0.0477748 + 0.0655934i
\(361\) −8.26380 + 14.3133i −0.434937 + 0.753333i
\(362\) −3.10036 + 2.60151i −0.162951 + 0.136732i
\(363\) −2.28388 0.971042i −0.119873 0.0509665i
\(364\) −0.932962 + 5.29109i −0.0489005 + 0.277329i
\(365\) −0.869257 + 4.92980i −0.0454990 + 0.258038i
\(366\) 8.78106 + 3.73346i 0.458993 + 0.195151i
\(367\) 7.71748 6.47573i 0.402849 0.338031i −0.418745 0.908104i \(-0.637530\pi\)
0.821594 + 0.570073i \(0.193085\pi\)
\(368\) 2.16767 3.75451i 0.112997 0.195717i
\(369\) 17.6437 24.2243i 0.918494 1.26107i
\(370\) −1.66564 2.88498i −0.0865927 0.149983i
\(371\) 2.59450 + 0.944319i 0.134699 + 0.0490266i
\(372\) −6.59311 12.9586i −0.341837 0.671872i
\(373\) 15.5677 + 13.0628i 0.806065 + 0.676369i 0.949665 0.313267i \(-0.101424\pi\)
−0.143600 + 0.989636i \(0.545868\pi\)
\(374\) 14.6917 5.34732i 0.759687 0.276504i
\(375\) 6.32647 + 5.90652i 0.326698 + 0.305011i
\(376\) −2.35420 13.3513i −0.121409 0.688543i
\(377\) −20.5351 −1.05761
\(378\) −3.40203 3.92762i −0.174982 0.202015i
\(379\) −7.76186 −0.398700 −0.199350 0.979928i \(-0.563883\pi\)
−0.199350 + 0.979928i \(0.563883\pi\)
\(380\) 0.531201 + 3.01259i 0.0272500 + 0.154543i
\(381\) −5.80151 + 1.76996i −0.297220 + 0.0906776i
\(382\) 4.19094 1.52538i 0.214427 0.0780451i
\(383\) −6.07023 5.09353i −0.310174 0.260267i 0.474390 0.880315i \(-0.342669\pi\)
−0.784564 + 0.620048i \(0.787113\pi\)
\(384\) 0.944200 1.45206i 0.0481835 0.0741003i
\(385\) 1.49170 + 0.542936i 0.0760243 + 0.0276706i
\(386\) 12.9296 + 22.3947i 0.658100 + 1.13986i
\(387\) 20.8966 5.18392i 1.06223 0.263513i
\(388\) −7.43917 + 12.8850i −0.377667 + 0.654138i
\(389\) −5.08046 + 4.26301i −0.257589 + 0.216143i −0.762432 0.647068i \(-0.775995\pi\)
0.504843 + 0.863211i \(0.331550\pi\)
\(390\) 3.81594 2.87199i 0.193228 0.145429i
\(391\) −3.80527 + 21.5808i −0.192441 + 1.09139i
\(392\) 0.173648 0.984808i 0.00877056 0.0497403i
\(393\) 0.237296 + 1.94210i 0.0119700 + 0.0979658i
\(394\) 6.86005 5.75626i 0.345604 0.289996i
\(395\) 2.29312 3.97180i 0.115379 0.199843i
\(396\) −7.69897 + 5.17981i −0.386888 + 0.260295i
\(397\) −14.0377 24.3140i −0.704531 1.22028i −0.966861 0.255305i \(-0.917824\pi\)
0.262329 0.964978i \(-0.415509\pi\)
\(398\) 11.7202 + 4.26581i 0.587482 + 0.213826i
\(399\) −10.3094 0.546395i −0.516117 0.0273540i
\(400\) −3.62845 3.04463i −0.181422 0.152231i
\(401\) −8.34329 + 3.03671i −0.416644 + 0.151646i −0.541832 0.840487i \(-0.682269\pi\)
0.125187 + 0.992133i \(0.460047\pi\)
\(402\) −0.675033 + 2.91604i −0.0336676 + 0.145439i
\(403\) 7.83159 + 44.4152i 0.390119 + 2.21248i
\(404\) −6.13923 −0.305438
\(405\) −0.172097 + 4.61579i −0.00855157 + 0.229361i
\(406\) 3.82211 0.189688
\(407\) −3.48633 19.7720i −0.172811 0.980060i
\(408\) −1.97447 + 8.52940i −0.0977508 + 0.422268i
\(409\) 1.49844 0.545386i 0.0740929 0.0269676i −0.304708 0.952446i \(-0.598559\pi\)
0.378801 + 0.925478i \(0.376337\pi\)
\(410\) −3.92739 3.29547i −0.193960 0.162752i
\(411\) 24.1855 + 1.28182i 1.19298 + 0.0632276i
\(412\) 2.97190 + 1.08168i 0.146415 + 0.0532906i
\(413\) −3.04590 5.27565i −0.149879 0.259598i
\(414\) −0.891938 12.9754i −0.0438364 0.637705i
\(415\) −2.22647 + 3.85635i −0.109293 + 0.189301i
\(416\) −4.11574 + 3.45351i −0.201791 + 0.169323i
\(417\) 4.25003 + 34.7834i 0.208125 + 1.70335i
\(418\) −3.20144 + 18.1562i −0.156587 + 0.888051i
\(419\) 2.23949 12.7008i 0.109406 0.620474i −0.879962 0.475043i \(-0.842432\pi\)
0.989369 0.145430i \(-0.0464566\pi\)
\(420\) −0.710244 + 0.534550i −0.0346564 + 0.0260834i
\(421\) −24.8963 + 20.8905i −1.21337 + 1.01814i −0.214226 + 0.976784i \(0.568723\pi\)
−0.999145 + 0.0413543i \(0.986833\pi\)
\(422\) 3.93260 6.81146i 0.191436 0.331577i
\(423\) −28.2185 29.2903i −1.37203 1.42414i
\(424\) 1.38050 + 2.39110i 0.0670431 + 0.116122i
\(425\) 22.4981 + 8.18864i 1.09132 + 0.397207i
\(426\) 2.39039 3.67613i 0.115815 0.178109i
\(427\) 4.22010 + 3.54109i 0.204225 + 0.171365i
\(428\) 9.66245 3.51684i 0.467052 0.169993i
\(429\) 27.5309 8.39928i 1.32921 0.405521i
\(430\) −0.639585 3.62727i −0.0308435 0.174922i
\(431\) 19.5805 0.943162 0.471581 0.881823i \(-0.343684\pi\)
0.471581 + 0.881823i \(0.343684\pi\)
\(432\) −0.0814873 5.19551i −0.00392056 0.249969i
\(433\) −3.07569 −0.147808 −0.0739041 0.997265i \(-0.523546\pi\)
−0.0739041 + 0.997265i \(0.523546\pi\)
\(434\) −1.45766 8.26680i −0.0699699 0.396819i
\(435\) −2.48346 2.31861i −0.119073 0.111169i
\(436\) 12.4082 4.51621i 0.594244 0.216287i
\(437\) −19.7952 16.6101i −0.946931 0.794570i
\(438\) −7.66084 15.0572i −0.366049 0.719461i
\(439\) 18.4782 + 6.72550i 0.881914 + 0.320991i 0.742982 0.669311i \(-0.233411\pi\)
0.138932 + 0.990302i \(0.455633\pi\)
\(440\) 0.793719 + 1.37476i 0.0378391 + 0.0655392i
\(441\) −1.21697 2.74207i −0.0579512 0.130575i
\(442\) 13.5787 23.5189i 0.645871 1.11868i
\(443\) 20.0199 16.7987i 0.951176 0.798131i −0.0283195 0.999599i \(-0.509016\pi\)
0.979495 + 0.201468i \(0.0645711\pi\)
\(444\) 10.3463 + 4.39895i 0.491013 + 0.208765i
\(445\) 0.171878 0.974769i 0.00814781 0.0462085i
\(446\) 2.96783 16.8314i 0.140531 0.796989i
\(447\) 27.2059 + 11.5672i 1.28679 + 0.547108i
\(448\) 0.766044 0.642788i 0.0361922 0.0303689i
\(449\) 11.2401 19.4685i 0.530455 0.918775i −0.468913 0.883244i \(-0.655354\pi\)
0.999369 0.0355311i \(-0.0113123\pi\)
\(450\) −14.1302 1.50201i −0.666104 0.0708053i
\(451\) −15.4492 26.7588i −0.727476 1.26002i
\(452\) −15.0537 5.47909i −0.708066 0.257715i
\(453\) −3.34609 6.57665i −0.157213 0.308998i
\(454\) −5.05684 4.24319i −0.237329 0.199143i
\(455\) 2.59110 0.943085i 0.121473 0.0442125i
\(456\) −7.54626 7.04533i −0.353386 0.329928i
\(457\) −4.41730 25.0517i −0.206633 1.17187i −0.894850 0.446367i \(-0.852718\pi\)
0.688218 0.725504i \(-0.258393\pi\)
\(458\) −4.76841 −0.222813
\(459\) 9.36906 + 24.5370i 0.437310 + 1.14529i
\(460\) −2.22499 −0.103741
\(461\) 0.234704 + 1.33107i 0.0109313 + 0.0619943i 0.989785 0.142565i \(-0.0455350\pi\)
−0.978854 + 0.204559i \(0.934424\pi\)
\(462\) −5.12421 + 1.56332i −0.238400 + 0.0727323i
\(463\) 7.33409 2.66939i 0.340844 0.124057i −0.165926 0.986138i \(-0.553061\pi\)
0.506770 + 0.862081i \(0.330839\pi\)
\(464\) 2.92791 + 2.45680i 0.135925 + 0.114054i
\(465\) −4.06776 + 6.25571i −0.188638 + 0.290102i
\(466\) 17.0184 + 6.19418i 0.788361 + 0.286940i
\(467\) 10.5654 + 18.2997i 0.488907 + 0.846811i 0.999919 0.0127624i \(-0.00406250\pi\)
−0.511012 + 0.859574i \(0.670729\pi\)
\(468\) −4.46105 + 15.4885i −0.206212 + 0.715956i
\(469\) −0.864048 + 1.49658i −0.0398980 + 0.0691054i
\(470\) −5.33007 + 4.47246i −0.245858 + 0.206299i
\(471\) −5.85174 + 4.40419i −0.269634 + 0.202934i
\(472\) 1.05783 5.99925i 0.0486906 0.276138i
\(473\) 3.85465 21.8608i 0.177237 1.00516i
\(474\) 1.87722 + 15.3636i 0.0862234 + 0.705676i
\(475\) −21.6274 + 18.1475i −0.992332 + 0.832666i
\(476\) −2.52734 + 4.37748i −0.115840 + 0.200641i
\(477\) 7.44043 + 3.63982i 0.340674 + 0.166656i
\(478\) −11.7942 20.4282i −0.539454 0.934362i
\(479\) 8.92520 + 3.24851i 0.407803 + 0.148428i 0.537773 0.843090i \(-0.319266\pi\)
−0.129970 + 0.991518i \(0.541488\pi\)
\(480\) −0.887681 0.0470467i −0.0405169 0.00214738i
\(481\) −26.7150 22.4165i −1.21810 1.02211i
\(482\) −20.4914 + 7.45827i −0.933359 + 0.339715i
\(483\) 1.69348 7.31556i 0.0770559 0.332870i
\(484\) −0.248809 1.41107i −0.0113095 0.0641394i
\(485\) 7.63589 0.346728
\(486\) −8.90345 12.7956i −0.403869 0.580422i
\(487\) −3.92885 −0.178033 −0.0890166 0.996030i \(-0.528372\pi\)
−0.0890166 + 0.996030i \(0.528372\pi\)
\(488\) 0.956620 + 5.42526i 0.0433041 + 0.245590i
\(489\) −3.09438 + 13.3672i −0.139933 + 0.604487i
\(490\) −0.482271 + 0.175532i −0.0217868 + 0.00792974i
\(491\) 23.7854 + 19.9584i 1.07342 + 0.900708i 0.995358 0.0962401i \(-0.0306817\pi\)
0.0780641 + 0.996948i \(0.475126\pi\)
\(492\) 17.2781 + 0.915733i 0.778958 + 0.0412844i
\(493\) −18.1544 6.60766i −0.817633 0.297594i
\(494\) 16.0120 + 27.7337i 0.720416 + 1.24780i
\(495\) 4.27787 + 2.09271i 0.192276 + 0.0940604i
\(496\) 4.19717 7.26970i 0.188458 0.326419i
\(497\) 1.93936 1.62732i 0.0869923 0.0729952i
\(498\) −1.82265 14.9171i −0.0816749 0.668450i
\(499\) −2.97273 + 16.8592i −0.133078 + 0.754721i 0.843101 + 0.537754i \(0.180727\pi\)
−0.976179 + 0.216966i \(0.930384\pi\)
\(500\) −0.867727 + 4.92112i −0.0388059 + 0.220079i
\(501\) 6.37531 4.79824i 0.284828 0.214370i
\(502\) 7.49070 6.28544i 0.334326 0.280533i
\(503\) −12.9850 + 22.4906i −0.578971 + 1.00281i 0.416626 + 0.909078i \(0.363212\pi\)
−0.995598 + 0.0937298i \(0.970121\pi\)
\(504\) 0.830315 2.88281i 0.0369852 0.128410i
\(505\) 1.57540 + 2.72866i 0.0701042 + 0.121424i
\(506\) −12.6008 4.58633i −0.560176 0.203887i
\(507\) 14.9807 23.0385i 0.665318 1.02318i
\(508\) −2.68262 2.25099i −0.119022 0.0998714i
\(509\) −14.6986 + 5.34985i −0.651503 + 0.237128i −0.646564 0.762860i \(-0.723795\pi\)
−0.00493966 + 0.999988i \(0.501572\pi\)
\(510\) 4.29768 1.31116i 0.190304 0.0580591i
\(511\) −1.69372 9.60559i −0.0749260 0.424926i
\(512\) 1.00000 0.0441942
\(513\) −30.5817 4.89919i −1.35022 0.216304i
\(514\) 12.1872 0.537556
\(515\) −0.281853 1.59847i −0.0124199 0.0704370i
\(516\) 9.08597 + 8.48284i 0.399988 + 0.373436i
\(517\) −39.4050 + 14.3422i −1.73303 + 0.630771i
\(518\) 4.97234 + 4.17229i 0.218472 + 0.183320i
\(519\) −14.2505 28.0090i −0.625528 1.22946i
\(520\) 2.59110 + 0.943085i 0.113627 + 0.0413570i
\(521\) 3.00491 + 5.20465i 0.131647 + 0.228020i 0.924312 0.381638i \(-0.124640\pi\)
−0.792664 + 0.609658i \(0.791307\pi\)
\(522\) 11.4021 + 1.21202i 0.499056 + 0.0530485i
\(523\) −19.4382 + 33.6680i −0.849974 + 1.47220i 0.0312557 + 0.999511i \(0.490049\pi\)
−0.881230 + 0.472687i \(0.843284\pi\)
\(524\) −0.865330 + 0.726098i −0.0378021 + 0.0317198i
\(525\) −7.54996 3.21003i −0.329507 0.140097i
\(526\) 0.583063 3.30671i 0.0254228 0.144180i
\(527\) −7.36800 + 41.7860i −0.320955 + 1.82023i
\(528\) −4.93026 2.09620i −0.214562 0.0912256i
\(529\) −3.22114 + 2.70286i −0.140050 + 0.117516i
\(530\) 0.708504 1.22717i 0.0307755 0.0533046i
\(531\) −7.41356 16.7042i −0.321721 0.724899i
\(532\) −2.98025 5.16195i −0.129210 0.223799i
\(533\) −50.4342 18.3565i −2.18455 0.795110i
\(534\) 1.51478 + 2.97726i 0.0655509 + 0.128839i
\(535\) −4.04260 3.39214i −0.174777 0.146655i
\(536\) −1.62388 + 0.591044i −0.0701409 + 0.0255292i
\(537\) −12.3089 11.4918i −0.531169 0.495910i
\(538\) 1.09999 + 6.23838i 0.0474241 + 0.268955i
\(539\) −3.09308 −0.133229
\(540\) −2.28830 + 1.36944i −0.0984730 + 0.0589315i
\(541\) −11.6829 −0.502287 −0.251144 0.967950i \(-0.580807\pi\)
−0.251144 + 0.967950i \(0.580807\pi\)
\(542\) −4.63048 26.2607i −0.198896 1.12800i
\(543\) −6.70492 + 2.04557i −0.287736 + 0.0877840i
\(544\) −4.74984 + 1.72880i −0.203648 + 0.0741217i
\(545\) −5.19137 4.35607i −0.222374 0.186594i
\(546\) −5.07292 + 7.80152i −0.217101 + 0.333874i
\(547\) −30.4578 11.0857i −1.30228 0.473992i −0.404542 0.914519i \(-0.632569\pi\)
−0.897739 + 0.440528i \(0.854791\pi\)
\(548\) 6.99156 + 12.1097i 0.298664 + 0.517302i
\(549\) 11.4665 + 11.9020i 0.489378 + 0.507964i
\(550\) −7.32535 + 12.6879i −0.312354 + 0.541013i
\(551\) 17.4518 14.6438i 0.743471 0.623847i
\(552\) 5.99963 4.51550i 0.255361 0.192192i
\(553\) −1.55175 + 8.80041i −0.0659871 + 0.374232i
\(554\) −4.99847 + 28.3477i −0.212365 + 1.20438i
\(555\) −0.699801 5.72736i −0.0297049 0.243113i
\(556\) −15.4983 + 13.0046i −0.657273 + 0.551518i
\(557\) 18.7993 32.5613i 0.796550 1.37967i −0.125300 0.992119i \(-0.539989\pi\)
0.921850 0.387546i \(-0.126677\pi\)
\(558\) −1.72703 25.1237i −0.0731108 1.06357i
\(559\) −19.2791 33.3924i −0.815418 1.41235i
\(560\) −0.482271 0.175532i −0.0203797 0.00741759i
\(561\) 27.0418 + 1.43321i 1.14171 + 0.0605100i
\(562\) −3.47016 2.91181i −0.146380 0.122827i
\(563\) −26.2543 + 9.55578i −1.10649 + 0.402728i −0.829703 0.558205i \(-0.811490\pi\)
−0.276783 + 0.960933i \(0.589268\pi\)
\(564\) 5.29579 22.8770i 0.222993 0.963295i
\(565\) 1.42769 + 8.09681i 0.0600632 + 0.340635i
\(566\) 10.9122 0.458674
\(567\) −2.76094 8.56605i −0.115949 0.359740i
\(568\) 2.53166 0.106226
\(569\) −2.21987 12.5895i −0.0930616 0.527778i −0.995324 0.0965914i \(-0.969206\pi\)
0.902263 0.431187i \(-0.141905\pi\)
\(570\) −1.19494 + 5.16195i −0.0500505 + 0.216210i
\(571\) 9.72516 3.53967i 0.406985 0.148131i −0.130412 0.991460i \(-0.541630\pi\)
0.537397 + 0.843329i \(0.319408\pi\)
\(572\) 12.7303 + 10.6820i 0.532282 + 0.446637i
\(573\) 7.71395 + 0.408836i 0.322255 + 0.0170794i
\(574\) 9.38709 + 3.41662i 0.391809 + 0.142607i
\(575\) −10.2674 17.7836i −0.428179 0.741628i
\(576\) 2.48909 1.67464i 0.103712 0.0697768i
\(577\) −10.5631 + 18.2958i −0.439748 + 0.761665i −0.997670 0.0682282i \(-0.978265\pi\)
0.557922 + 0.829893i \(0.311599\pi\)
\(578\) 6.54947 5.49566i 0.272422 0.228589i
\(579\) 5.43223 + 44.4588i 0.225756 + 1.84765i
\(580\) 0.340627 1.93179i 0.0141438 0.0802132i
\(581\) 1.50665 8.54461i 0.0625062 0.354490i
\(582\) −20.5900 + 15.4966i −0.853484 + 0.642357i
\(583\) 6.54203 5.48942i 0.270943 0.227348i
\(584\) 4.87689 8.44701i 0.201807 0.349540i
\(585\) 8.02883 1.99175i 0.331951 0.0823487i
\(586\) 4.02253 + 6.96723i 0.166169 + 0.287814i
\(587\) 2.62900 + 0.956877i 0.108510 + 0.0394945i 0.395705 0.918378i \(-0.370500\pi\)
−0.287194 + 0.957872i \(0.592723\pi\)
\(588\) 0.944200 1.45206i 0.0389381 0.0598821i
\(589\) −38.3286 32.1615i −1.57930 1.32519i
\(590\) −2.93790 + 1.06931i −0.120951 + 0.0440227i
\(591\) 14.8357 4.52616i 0.610260 0.186181i
\(592\) 1.12714 + 6.39232i 0.0463251 + 0.262723i
\(593\) 36.6385 1.50456 0.752281 0.658842i \(-0.228954\pi\)
0.752281 + 0.658842i \(0.228954\pi\)
\(594\) −15.7822 + 3.03877i −0.647553 + 0.124682i
\(595\) 2.59417 0.106351
\(596\) 2.96384 + 16.8088i 0.121404 + 0.688515i
\(597\) 15.7906 + 14.7424i 0.646267 + 0.603367i
\(598\) −21.8878 + 7.96650i −0.895058 + 0.325775i
\(599\) 7.47015 + 6.26820i 0.305222 + 0.256112i 0.782514 0.622633i \(-0.213937\pi\)
−0.477292 + 0.878745i \(0.658382\pi\)
\(600\) −3.72024 7.31205i −0.151878 0.298513i
\(601\) −20.2947 7.38665i −0.827836 0.301308i −0.106866 0.994273i \(-0.534082\pi\)
−0.720971 + 0.692966i \(0.756304\pi\)
\(602\) 3.58833 + 6.21517i 0.146249 + 0.253312i
\(603\) −3.05220 + 4.19058i −0.124295 + 0.170654i
\(604\) 2.13012 3.68947i 0.0866732 0.150122i
\(605\) −0.563320 + 0.472682i −0.0229022 + 0.0192173i
\(606\) −9.78570 4.16060i −0.397517 0.169013i
\(607\) −1.42435 + 8.07788i −0.0578125 + 0.327871i −0.999973 0.00728976i \(-0.997680\pi\)
0.942161 + 0.335161i \(0.108791\pi\)
\(608\) 1.03503 5.86995i 0.0419760 0.238058i
\(609\) 6.09229 + 2.59027i 0.246872 + 0.104963i
\(610\) 2.16585 1.81736i 0.0876927 0.0735829i
\(611\) −36.4198 + 63.0809i −1.47339 + 2.55198i
\(612\) −8.92766 + 12.2574i −0.360879 + 0.495477i
\(613\) 18.8418 + 32.6349i 0.761012 + 1.31811i 0.942330 + 0.334686i \(0.108630\pi\)
−0.181318 + 0.983425i \(0.558036\pi\)
\(614\) 13.0739 + 4.75852i 0.527621 + 0.192038i
\(615\) −4.02675 7.91448i −0.162374 0.319143i
\(616\) −2.36944 1.98820i −0.0954674 0.0801067i
\(617\) −42.3929 + 15.4298i −1.70667 + 0.621179i −0.996557 0.0829055i \(-0.973580\pi\)
−0.710117 + 0.704084i \(0.751358\pi\)
\(618\) 4.00402 + 3.73823i 0.161065 + 0.150374i
\(619\) 3.45021 + 19.5671i 0.138676 + 0.786468i 0.972229 + 0.234030i \(0.0751914\pi\)
−0.833554 + 0.552438i \(0.813697\pi\)
\(620\) −4.30816 −0.173020
\(621\) 7.37179 21.2867i 0.295820 0.854207i
\(622\) −33.8085 −1.35560
\(623\) 0.334900 + 1.89931i 0.0134175 + 0.0760944i
\(624\) −8.90080 + 2.71551i −0.356317 + 0.108707i
\(625\) −19.8448 + 7.22293i −0.793793 + 0.288917i
\(626\) 3.00461 + 2.52117i 0.120088 + 0.100766i
\(627\) −17.4076 + 26.7707i −0.695192 + 1.06912i
\(628\) −3.97346 1.44622i −0.158558 0.0577105i
\(629\) −16.4048 28.4139i −0.654101 1.13294i
\(630\) −1.49437 + 0.370715i −0.0595371 + 0.0147697i
\(631\) 17.5749 30.4407i 0.699647 1.21182i −0.268941 0.963157i \(-0.586674\pi\)
0.968589 0.248668i \(-0.0799929\pi\)
\(632\) −6.84550 + 5.74406i −0.272300 + 0.228486i
\(633\) 10.8846 8.19205i 0.432623 0.325605i
\(634\) 0.849946 4.82029i 0.0337557 0.191438i
\(635\) −0.312091 + 1.76996i −0.0123850 + 0.0702386i
\(636\) 0.580002 + 4.74690i 0.0229986 + 0.188227i
\(637\) −4.11574 + 3.45351i −0.163072 + 0.136833i
\(638\) 5.91105 10.2382i 0.234021 0.405336i
\(639\) 6.30153 4.23962i 0.249285 0.167717i
\(640\) −0.256611 0.444463i −0.0101434 0.0175690i
\(641\) 7.69810 + 2.80188i 0.304057 + 0.110668i 0.489543 0.871979i \(-0.337164\pi\)
−0.185486 + 0.982647i \(0.559386\pi\)
\(642\) 17.7850 + 0.942595i 0.701916 + 0.0372013i
\(643\) 7.84382 + 6.58174i 0.309330 + 0.259559i 0.784215 0.620489i \(-0.213066\pi\)
−0.474885 + 0.880048i \(0.657510\pi\)
\(644\) 4.07388 1.48277i 0.160533 0.0584293i
\(645\) 1.43875 6.21517i 0.0566507 0.244722i
\(646\) 5.23174 + 29.6707i 0.205840 + 1.16738i
\(647\) 22.9408 0.901895 0.450947 0.892551i \(-0.351086\pi\)
0.450947 + 0.892551i \(0.351086\pi\)
\(648\) 3.39115 8.33667i 0.133217 0.327495i
\(649\) −18.8424 −0.739630
\(650\) 4.41907 + 25.0618i 0.173330 + 0.983005i
\(651\) 3.27901 14.1648i 0.128515 0.555163i
\(652\) −7.44393 + 2.70937i −0.291527 + 0.106107i
\(653\) −18.0260 15.1256i −0.705412 0.591911i 0.217895 0.975972i \(-0.430081\pi\)
−0.923308 + 0.384061i \(0.874525\pi\)
\(654\) 22.8388 + 1.21045i 0.893069 + 0.0473323i
\(655\) 0.544777 + 0.198283i 0.0212862 + 0.00774755i
\(656\) 4.99477 + 8.65119i 0.195013 + 0.337772i
\(657\) −2.00671 29.1924i −0.0782893 1.13890i
\(658\) 6.77865 11.7410i 0.264259 0.457711i
\(659\) 15.2377 12.7859i 0.593575 0.498068i −0.295798 0.955250i \(-0.595586\pi\)
0.889373 + 0.457182i \(0.151141\pi\)
\(660\) 0.333472 + 2.72923i 0.0129804 + 0.106235i
\(661\) −2.83097 + 16.0552i −0.110112 + 0.624477i 0.878943 + 0.476928i \(0.158250\pi\)
−0.989055 + 0.147549i \(0.952862\pi\)
\(662\) −3.79111 + 21.5004i −0.147346 + 0.835638i
\(663\) 37.5828 28.2859i 1.45960 1.09853i
\(664\) 6.64653 5.57710i 0.257935 0.216433i
\(665\) −1.52953 + 2.64923i −0.0593127 + 0.102733i
\(666\) 13.5104 + 14.0235i 0.523517 + 0.543400i
\(667\) 8.28505 + 14.3501i 0.320799 + 0.555639i
\(668\) 4.32897 + 1.57562i 0.167493 + 0.0609624i
\(669\) 16.1373 24.8172i 0.623906 0.959490i
\(670\) 0.679403 + 0.570086i 0.0262476 + 0.0220244i
\(671\) 16.0120 5.82791i 0.618138 0.224984i
\(672\) 1.65667 0.505425i 0.0639073 0.0194972i
\(673\) 4.81479 + 27.3060i 0.185597 + 1.05257i 0.925187 + 0.379513i \(0.123908\pi\)
−0.739590 + 0.673058i \(0.764981\pi\)
\(674\) −5.26884 −0.202948
\(675\) −21.5051 11.9703i −0.827731 0.460736i
\(676\) 15.8661 0.610234
\(677\) 3.75569 + 21.2996i 0.144343 + 0.818610i 0.967892 + 0.251365i \(0.0808796\pi\)
−0.823549 + 0.567245i \(0.808009\pi\)
\(678\) −20.2818 18.9354i −0.778917 0.727211i
\(679\) −13.9811 + 5.08869i −0.536544 + 0.195286i
\(680\) 1.98725 + 1.66750i 0.0762076 + 0.0639457i
\(681\) −5.18476 10.1905i −0.198681 0.390502i
\(682\) −24.3985 8.88034i −0.934268 0.340046i
\(683\) 8.72771 + 15.1168i 0.333957 + 0.578430i 0.983284 0.182079i \(-0.0582828\pi\)
−0.649327 + 0.760509i \(0.724949\pi\)
\(684\) −7.25378 16.3441i −0.277355 0.624934i
\(685\) 3.58822 6.21498i 0.137099 0.237462i
\(686\) 0.766044 0.642788i 0.0292477 0.0245417i
\(687\) −7.60066 3.23158i −0.289983 0.123293i
\(688\) −1.24621 + 7.06763i −0.0475115 + 0.269451i
\(689\) 2.57591 14.6087i 0.0981345 0.556548i
\(690\) −3.54654 1.50789i −0.135015 0.0574044i
\(691\) 3.38648 2.84159i 0.128828 0.108099i −0.576097 0.817381i \(-0.695425\pi\)
0.704925 + 0.709282i \(0.250981\pi\)
\(692\) 9.07186 15.7129i 0.344860 0.597316i
\(693\) −9.22727 0.980837i −0.350515 0.0372589i
\(694\) 8.64990 + 14.9821i 0.328346 + 0.568711i
\(695\) 9.75709 + 3.55129i 0.370108 + 0.134708i
\(696\) 3.00198 + 5.90031i 0.113790 + 0.223651i
\(697\) −38.6805 32.4568i −1.46513 1.22939i
\(698\) −10.2589 + 3.73394i −0.388305 + 0.141332i
\(699\) 22.9288 + 21.4068i 0.867247 + 0.809678i
\(700\) −0.822502 4.66464i −0.0310877 0.176307i
\(701\) 16.3363 0.617014 0.308507 0.951222i \(-0.400171\pi\)
0.308507 + 0.951222i \(0.400171\pi\)
\(702\) −17.6074 + 21.6648i −0.664549 + 0.817685i
\(703\) 38.6892 1.45919
\(704\) −0.537108 3.04609i −0.0202430 0.114804i
\(705\) −11.5269 + 3.51670i −0.434130 + 0.132447i
\(706\) −13.6157 + 4.95570i −0.512432 + 0.186510i
\(707\) −4.70293 3.94622i −0.176872 0.148413i
\(708\) 5.75187 8.84567i 0.216169 0.332441i
\(709\) 26.2680 + 9.56078i 0.986517 + 0.359063i 0.784370 0.620293i \(-0.212986\pi\)
0.202146 + 0.979355i \(0.435208\pi\)
\(710\) −0.649651 1.12523i −0.0243810 0.0422291i
\(711\) −7.41984 + 25.7613i −0.278266 + 0.966123i
\(712\) −0.964307 + 1.67023i −0.0361389 + 0.0625944i
\(713\) 27.8780 23.3925i 1.04404 0.876054i
\(714\) −6.99512 + 5.26473i −0.261786 + 0.197028i
\(715\) 1.48102 8.39928i 0.0553870 0.314115i
\(716\) 1.68827 9.57464i 0.0630935 0.357821i
\(717\) −4.95520 40.5547i −0.185055 1.51454i
\(718\) 18.9446 15.8964i 0.707005 0.593247i
\(719\) −10.0464 + 17.4008i −0.374666 + 0.648941i −0.990277 0.139109i \(-0.955576\pi\)
0.615611 + 0.788050i \(0.288909\pi\)
\(720\) −1.38305 0.676578i −0.0515431 0.0252146i
\(721\) 1.58131 + 2.73891i 0.0588912 + 0.102002i
\(722\) −15.5309 5.65277i −0.577999 0.210374i
\(723\) −37.7171 1.99899i −1.40271 0.0743432i
\(724\) −3.10036 2.60151i −0.115224 0.0966845i
\(725\) 17.0120 6.19187i 0.631811 0.229960i
\(726\) 0.559698 2.41781i 0.0207723 0.0897332i
\(727\) −5.47673 31.0601i −0.203121 1.15195i −0.900370 0.435126i \(-0.856704\pi\)
0.697249 0.716829i \(-0.254407\pi\)
\(728\) −5.37272 −0.199126
\(729\) −5.52007 26.4297i −0.204447 0.978878i
\(730\) −5.00585 −0.185275
\(731\) −6.29921 35.7246i −0.232985 1.32132i
\(732\) −2.15192 + 9.29597i −0.0795373 + 0.343589i
\(733\) 30.1139 10.9606i 1.11228 0.404838i 0.280452 0.959868i \(-0.409516\pi\)
0.831830 + 0.555030i \(0.187293\pi\)
\(734\) 7.71748 + 6.47573i 0.284857 + 0.239024i
\(735\) −0.887681 0.0470467i −0.0327426 0.00173534i
\(736\) 4.07388 + 1.48277i 0.150165 + 0.0546557i
\(737\) 2.67257 + 4.62903i 0.0984455 + 0.170513i
\(738\) 26.9201 + 13.1691i 0.990941 + 0.484763i
\(739\) 23.4176 40.5605i 0.861431 1.49204i −0.00911643 0.999958i \(-0.502902\pi\)
0.870548 0.492084i \(-0.163765\pi\)
\(740\) 2.55191 2.14131i 0.0938102 0.0787161i
\(741\) 6.72728 + 55.0579i 0.247133 + 2.02260i
\(742\) −0.479443 + 2.71906i −0.0176009 + 0.0998198i
\(743\) −7.11612 + 40.3575i −0.261065 + 1.48057i 0.518946 + 0.854807i \(0.326325\pi\)
−0.780011 + 0.625766i \(0.784786\pi\)
\(744\) 11.6168 8.74318i 0.425894 0.320541i
\(745\) 6.71034 5.63064i 0.245848 0.206291i
\(746\) −10.1611 + 17.5995i −0.372024 + 0.644365i
\(747\) 7.20417 25.0125i 0.263587 0.915158i
\(748\) 7.81726 + 13.5399i 0.285827 + 0.495068i
\(749\) 9.66245 + 3.51684i 0.353058 + 0.128503i
\(750\) −4.71820 + 7.25602i −0.172284 + 0.264952i
\(751\) −16.1793 13.5761i −0.590393 0.495398i 0.297949 0.954582i \(-0.403698\pi\)
−0.888341 + 0.459184i \(0.848142\pi\)
\(752\) 12.7397 4.63687i 0.464569 0.169089i
\(753\) 16.1996 4.94226i 0.590345 0.180106i
\(754\) −3.56588 20.2231i −0.129862 0.736483i
\(755\) −2.18644 −0.0795728
\(756\) 3.27719 4.03237i 0.119190 0.146656i
\(757\) 48.2596 1.75402 0.877012 0.480468i \(-0.159533\pi\)
0.877012 + 0.480468i \(0.159533\pi\)
\(758\) −1.34783 7.64394i −0.0489555 0.277640i
\(759\) −16.9771 15.8501i −0.616229 0.575323i
\(760\) −2.87458 + 1.04626i −0.104272 + 0.0379519i
\(761\) 27.2550 + 22.8697i 0.987994 + 0.829025i 0.985276 0.170971i \(-0.0546904\pi\)
0.00271790 + 0.999996i \(0.499135\pi\)
\(762\) −2.75049 5.40602i −0.0996397 0.195839i
\(763\) 12.4082 + 4.51621i 0.449206 + 0.163498i
\(764\) 2.22995 + 3.86239i 0.0806768 + 0.139736i
\(765\) 7.73891 + 0.822629i 0.279801 + 0.0297422i
\(766\) 3.96206 6.86250i 0.143155 0.247952i
\(767\) −25.0722 + 21.0381i −0.905306 + 0.759642i
\(768\) 1.59396 + 0.677707i 0.0575171 + 0.0244546i
\(769\) −1.86313 + 10.5663i −0.0671861 + 0.381031i 0.932611 + 0.360883i \(0.117525\pi\)