Properties

Label 354.2.e.c.85.1
Level 354
Weight 2
Character 354.85
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 85.1
Character \(\chi\) = 354.85
Dual form 354.2.e.c.25.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.796093 - 0.605174i) q^{2} +(-0.468408 + 0.883512i) q^{3} +(0.267528 - 0.963550i) q^{4} +(-2.86336 + 2.71232i) q^{5} +(0.161782 + 0.986827i) q^{6} +(-2.64683 - 3.11609i) q^{7} +(-0.370138 - 0.928977i) q^{8} +(-0.561187 - 0.827689i) q^{9} +O(q^{10})\) \(q+(0.796093 - 0.605174i) q^{2} +(-0.468408 + 0.883512i) q^{3} +(0.267528 - 0.963550i) q^{4} +(-2.86336 + 2.71232i) q^{5} +(0.161782 + 0.986827i) q^{6} +(-2.64683 - 3.11609i) q^{7} +(-0.370138 - 0.928977i) q^{8} +(-0.561187 - 0.827689i) q^{9} +(-0.638077 + 3.89210i) q^{10} +(-3.87667 + 2.33252i) q^{11} +(0.725995 + 0.687699i) q^{12} +(-1.12863 + 1.66461i) q^{13} +(-3.99290 - 0.878904i) q^{14} +(-1.05515 - 3.80029i) q^{15} +(-0.856857 - 0.515554i) q^{16} +(2.21081 - 2.60276i) q^{17} +(-0.947653 - 0.319302i) q^{18} +(2.73339 + 1.26460i) q^{19} +(1.84743 + 3.48462i) q^{20} +(3.99290 - 0.878904i) q^{21} +(-1.67461 + 4.20296i) q^{22} +(-8.61565 + 2.90295i) q^{23} +(0.994138 + 0.108119i) q^{24} +(0.571466 - 10.5401i) q^{25} +(0.108882 + 2.00820i) q^{26} +(0.994138 - 0.108119i) q^{27} +(-3.71061 + 1.71671i) q^{28} +(1.77108 + 1.34634i) q^{29} +(-3.13983 - 2.38684i) q^{30} +(-3.05938 + 1.41542i) q^{31} +(-0.994138 + 0.108119i) q^{32} +(-0.244940 - 4.51766i) q^{33} +(0.184883 - 3.40997i) q^{34} +(16.0307 + 1.74344i) q^{35} +(-0.947653 + 0.319302i) q^{36} +(-0.550132 + 1.38073i) q^{37} +(2.94133 - 0.647437i) q^{38} +(-0.942041 - 1.77688i) q^{39} +(3.57953 + 1.65606i) q^{40} +(5.40644 + 1.82164i) q^{41} +(2.64683 - 3.11609i) q^{42} +(-0.755389 - 0.454503i) q^{43} +(1.21038 + 4.35938i) q^{44} +(3.85184 + 0.847855i) q^{45} +(-5.10207 + 7.52499i) q^{46} +(5.27495 + 4.99670i) q^{47} +(0.856857 - 0.515554i) q^{48} +(-1.57183 + 9.58774i) q^{49} +(-5.92364 - 8.73672i) q^{50} +(1.26401 + 3.17243i) q^{51} +(1.30199 + 1.53282i) q^{52} +(1.76131 + 10.7435i) q^{53} +(0.725995 - 0.687699i) q^{54} +(4.77379 - 17.1936i) q^{55} +(-1.91508 + 3.61223i) q^{56} +(-2.39763 + 1.82263i) q^{57} +2.22471 q^{58} +(4.06913 - 6.51477i) q^{59} -3.94405 q^{60} +(-0.844419 + 0.641910i) q^{61} +(-1.57898 + 2.97827i) q^{62} +(-1.09379 + 3.93946i) q^{63} +(-0.725995 + 0.687699i) q^{64} +(-1.28327 - 7.82760i) q^{65} +(-2.92897 - 3.44825i) q^{66} +(-5.30725 - 13.3202i) q^{67} +(-1.91644 - 2.82654i) q^{68} +(1.47085 - 8.97180i) q^{69} +(13.8170 - 8.31342i) q^{70} +(-11.1542 - 10.5658i) q^{71} +(-0.561187 + 0.827689i) q^{72} +(-10.2025 - 2.24574i) q^{73} +(0.397624 + 1.43211i) q^{74} +(9.04460 + 5.44196i) q^{75} +(1.94976 - 2.29544i) q^{76} +(17.5292 + 5.90629i) q^{77} +(-1.82527 - 0.844461i) q^{78} +(3.99102 + 7.52786i) q^{79} +(3.85184 - 0.847855i) q^{80} +(-0.370138 + 0.928977i) q^{81} +(5.40644 - 1.82164i) q^{82} +(-15.2334 - 1.65673i) q^{83} +(0.221346 - 4.08249i) q^{84} +(0.729189 + 13.4491i) q^{85} +(-0.876413 + 0.0953157i) q^{86} +(-2.01909 + 0.934132i) q^{87} +(3.60176 + 2.73799i) q^{88} +(1.60488 + 1.22000i) q^{89} +(3.57953 - 1.65606i) q^{90} +(8.17437 - 0.889017i) q^{91} +(0.492207 + 9.07823i) q^{92} +(0.182499 - 3.36600i) q^{93} +(7.22322 + 0.785573i) q^{94} +(-11.2567 + 3.79282i) q^{95} +(0.370138 - 0.928977i) q^{96} +(-5.08214 + 1.11866i) q^{97} +(4.55093 + 8.58397i) q^{98} +(4.10614 + 1.89970i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{23}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.796093 0.605174i 0.562923 0.427923i
\(3\) −0.468408 + 0.883512i −0.270436 + 0.510096i
\(4\) 0.267528 0.963550i 0.133764 0.481775i
\(5\) −2.86336 + 2.71232i −1.28054 + 1.21299i −0.316083 + 0.948732i \(0.602368\pi\)
−0.964453 + 0.264256i \(0.914874\pi\)
\(6\) 0.161782 + 0.986827i 0.0660472 + 0.402870i
\(7\) −2.64683 3.11609i −1.00041 1.17777i −0.984048 0.177905i \(-0.943068\pi\)
−0.0163604 0.999866i \(-0.505208\pi\)
\(8\) −0.370138 0.928977i −0.130864 0.328443i
\(9\) −0.561187 0.827689i −0.187062 0.275896i
\(10\) −0.638077 + 3.89210i −0.201778 + 1.23079i
\(11\) −3.87667 + 2.33252i −1.16886 + 0.703280i −0.961452 0.274974i \(-0.911331\pi\)
−0.207409 + 0.978254i \(0.566503\pi\)
\(12\) 0.725995 + 0.687699i 0.209577 + 0.198522i
\(13\) −1.12863 + 1.66461i −0.313027 + 0.461680i −0.951360 0.308080i \(-0.900314\pi\)
0.638334 + 0.769760i \(0.279624\pi\)
\(14\) −3.99290 0.878904i −1.06715 0.234897i
\(15\) −1.05515 3.80029i −0.272438 0.981231i
\(16\) −0.856857 0.515554i −0.214214 0.128888i
\(17\) 2.21081 2.60276i 0.536200 0.631263i −0.425635 0.904895i \(-0.639949\pi\)
0.961834 + 0.273632i \(0.0882250\pi\)
\(18\) −0.947653 0.319302i −0.223364 0.0752601i
\(19\) 2.73339 + 1.26460i 0.627082 + 0.290119i 0.707577 0.706636i \(-0.249788\pi\)
−0.0804951 + 0.996755i \(0.525650\pi\)
\(20\) 1.84743 + 3.48462i 0.413097 + 0.779184i
\(21\) 3.99290 0.878904i 0.871322 0.191793i
\(22\) −1.67461 + 4.20296i −0.357029 + 0.896075i
\(23\) −8.61565 + 2.90295i −1.79649 + 0.605307i −0.796487 + 0.604655i \(0.793311\pi\)
−1.00000 0.000651690i \(0.999793\pi\)
\(24\) 0.994138 + 0.108119i 0.202928 + 0.0220697i
\(25\) 0.571466 10.5401i 0.114293 2.10801i
\(26\) 0.108882 + 2.00820i 0.0213534 + 0.393841i
\(27\) 0.994138 0.108119i 0.191322 0.0208075i
\(28\) −3.71061 + 1.71671i −0.701240 + 0.324428i
\(29\) 1.77108 + 1.34634i 0.328881 + 0.250009i 0.756563 0.653920i \(-0.226877\pi\)
−0.427683 + 0.903929i \(0.640670\pi\)
\(30\) −3.13983 2.38684i −0.573252 0.435775i
\(31\) −3.05938 + 1.41542i −0.549482 + 0.254217i −0.674929 0.737883i \(-0.735826\pi\)
0.125447 + 0.992100i \(0.459964\pi\)
\(32\) −0.994138 + 0.108119i −0.175740 + 0.0191129i
\(33\) −0.244940 4.51766i −0.0426386 0.786423i
\(34\) 0.184883 3.40997i 0.0317072 0.584805i
\(35\) 16.0307 + 1.74344i 2.70968 + 0.294695i
\(36\) −0.947653 + 0.319302i −0.157942 + 0.0532169i
\(37\) −0.550132 + 1.38073i −0.0904412 + 0.226990i −0.967238 0.253870i \(-0.918296\pi\)
0.876797 + 0.480861i \(0.159676\pi\)
\(38\) 2.94133 0.647437i 0.477148 0.105028i
\(39\) −0.942041 1.77688i −0.150847 0.284528i
\(40\) 3.57953 + 1.65606i 0.565973 + 0.261847i
\(41\) 5.40644 + 1.82164i 0.844343 + 0.284492i 0.708038 0.706174i \(-0.249581\pi\)
0.136306 + 0.990667i \(0.456477\pi\)
\(42\) 2.64683 3.11609i 0.408415 0.480823i
\(43\) −0.755389 0.454503i −0.115196 0.0693110i 0.456790 0.889575i \(-0.348999\pi\)
−0.571986 + 0.820264i \(0.693827\pi\)
\(44\) 1.21038 + 4.35938i 0.182471 + 0.657202i
\(45\) 3.85184 + 0.847855i 0.574199 + 0.126391i
\(46\) −5.10207 + 7.52499i −0.752259 + 1.10950i
\(47\) 5.27495 + 4.99670i 0.769430 + 0.728843i 0.967920 0.251260i \(-0.0808449\pi\)
−0.198489 + 0.980103i \(0.563604\pi\)
\(48\) 0.856857 0.515554i 0.123677 0.0744138i
\(49\) −1.57183 + 9.58774i −0.224547 + 1.36968i
\(50\) −5.92364 8.73672i −0.837729 1.23556i
\(51\) 1.26401 + 3.17243i 0.176997 + 0.444229i
\(52\) 1.30199 + 1.53282i 0.180554 + 0.212565i
\(53\) 1.76131 + 10.7435i 0.241935 + 1.47574i 0.776237 + 0.630442i \(0.217126\pi\)
−0.534302 + 0.845294i \(0.679426\pi\)
\(54\) 0.725995 0.687699i 0.0987955 0.0935840i
\(55\) 4.77379 17.1936i 0.643698 2.31839i
\(56\) −1.91508 + 3.61223i −0.255914 + 0.482704i
\(57\) −2.39763 + 1.82263i −0.317574 + 0.241414i
\(58\) 2.22471 0.292119
\(59\) 4.06913 6.51477i 0.529755 0.848151i
\(60\) −3.94405 −0.509175
\(61\) −0.844419 + 0.641910i −0.108117 + 0.0821882i −0.657836 0.753161i \(-0.728528\pi\)
0.549719 + 0.835350i \(0.314735\pi\)
\(62\) −1.57898 + 2.97827i −0.200530 + 0.378240i
\(63\) −1.09379 + 3.93946i −0.137804 + 0.496326i
\(64\) −0.725995 + 0.687699i −0.0907494 + 0.0859624i
\(65\) −1.28327 7.82760i −0.159170 0.970894i
\(66\) −2.92897 3.44825i −0.360531 0.424450i
\(67\) −5.30725 13.3202i −0.648384 1.62732i −0.772472 0.635049i \(-0.780980\pi\)
0.124088 0.992271i \(-0.460399\pi\)
\(68\) −1.91644 2.82654i −0.232403 0.342768i
\(69\) 1.47085 8.97180i 0.177070 1.08008i
\(70\) 13.8170 8.31342i 1.65145 0.993643i
\(71\) −11.1542 10.5658i −1.32376 1.25393i −0.944449 0.328659i \(-0.893403\pi\)
−0.379308 0.925270i \(-0.623838\pi\)
\(72\) −0.561187 + 0.827689i −0.0661365 + 0.0975441i
\(73\) −10.2025 2.24574i −1.19411 0.262844i −0.426936 0.904282i \(-0.640407\pi\)
−0.767174 + 0.641439i \(0.778338\pi\)
\(74\) 0.397624 + 1.43211i 0.0462229 + 0.166480i
\(75\) 9.04460 + 5.44196i 1.04438 + 0.628383i
\(76\) 1.94976 2.29544i 0.223653 0.263305i
\(77\) 17.5292 + 5.90629i 1.99764 + 0.673084i
\(78\) −1.82527 0.844461i −0.206671 0.0956164i
\(79\) 3.99102 + 7.52786i 0.449025 + 0.846951i 0.999923 + 0.0123786i \(0.00394032\pi\)
−0.550898 + 0.834572i \(0.685715\pi\)
\(80\) 3.85184 0.847855i 0.430649 0.0947930i
\(81\) −0.370138 + 0.928977i −0.0411265 + 0.103220i
\(82\) 5.40644 1.82164i 0.597041 0.201167i
\(83\) −15.2334 1.65673i −1.67208 0.181849i −0.777538 0.628837i \(-0.783531\pi\)
−0.894540 + 0.446987i \(0.852497\pi\)
\(84\) 0.221346 4.08249i 0.0241509 0.445436i
\(85\) 0.729189 + 13.4491i 0.0790916 + 1.45876i
\(86\) −0.876413 + 0.0953157i −0.0945061 + 0.0102782i
\(87\) −2.01909 + 0.934132i −0.216469 + 0.100149i
\(88\) 3.60176 + 2.73799i 0.383949 + 0.291870i
\(89\) 1.60488 + 1.22000i 0.170117 + 0.129320i 0.686769 0.726876i \(-0.259029\pi\)
−0.516651 + 0.856196i \(0.672822\pi\)
\(90\) 3.57953 1.65606i 0.377315 0.174565i
\(91\) 8.17437 0.889017i 0.856907 0.0931943i
\(92\) 0.492207 + 9.07823i 0.0513162 + 0.946471i
\(93\) 0.182499 3.36600i 0.0189243 0.349038i
\(94\) 7.22322 + 0.785573i 0.745018 + 0.0810256i
\(95\) −11.2567 + 3.79282i −1.15491 + 0.389135i
\(96\) 0.370138 0.928977i 0.0377771 0.0948133i
\(97\) −5.08214 + 1.11866i −0.516013 + 0.113583i −0.465340 0.885132i \(-0.654068\pi\)
−0.0506735 + 0.998715i \(0.516137\pi\)
\(98\) 4.55093 + 8.58397i 0.459713 + 0.867111i
\(99\) 4.10614 + 1.89970i 0.412682 + 0.190927i
\(100\) −10.0030 3.37040i −1.00030 0.337040i
\(101\) 2.90003 3.41418i 0.288564 0.339723i −0.598711 0.800965i \(-0.704320\pi\)
0.887274 + 0.461242i \(0.152596\pi\)
\(102\) 2.92615 + 1.76060i 0.289732 + 0.174326i
\(103\) −1.03620 3.73205i −0.102100 0.367730i 0.894795 0.446477i \(-0.147322\pi\)
−0.996895 + 0.0787477i \(0.974908\pi\)
\(104\) 1.96413 + 0.432338i 0.192599 + 0.0423943i
\(105\) −9.04926 + 13.3467i −0.883117 + 1.30250i
\(106\) 7.90386 + 7.48694i 0.767691 + 0.727196i
\(107\) 1.77012 1.06504i 0.171124 0.102962i −0.427415 0.904055i \(-0.640576\pi\)
0.598539 + 0.801094i \(0.295748\pi\)
\(108\) 0.161782 0.986827i 0.0155675 0.0949574i
\(109\) 1.15151 + 1.69835i 0.110295 + 0.162672i 0.878830 0.477135i \(-0.158325\pi\)
−0.768536 + 0.639807i \(0.779014\pi\)
\(110\) −6.60477 16.5767i −0.629740 1.58053i
\(111\) −0.962203 1.13279i −0.0913283 0.107520i
\(112\) 0.661444 + 4.03463i 0.0625006 + 0.381237i
\(113\) −2.33717 + 2.21389i −0.219863 + 0.208265i −0.789701 0.613492i \(-0.789764\pi\)
0.569838 + 0.821757i \(0.307006\pi\)
\(114\) −0.805728 + 2.90197i −0.0754633 + 0.271794i
\(115\) 16.7960 31.6806i 1.56624 2.95423i
\(116\) 1.77108 1.34634i 0.164440 0.125004i
\(117\) 2.01115 0.185931
\(118\) −0.703166 7.64889i −0.0647317 0.704138i
\(119\) −13.9621 −1.27990
\(120\) −3.13983 + 2.38684i −0.286626 + 0.217888i
\(121\) 4.43547 8.36619i 0.403225 0.760562i
\(122\) −0.283768 + 1.02204i −0.0256912 + 0.0925312i
\(123\) −4.14186 + 3.92338i −0.373459 + 0.353759i
\(124\) 0.545358 + 3.32654i 0.0489746 + 0.298732i
\(125\) 14.1851 + 16.7000i 1.26876 + 1.49370i
\(126\) 1.51331 + 3.79811i 0.134816 + 0.338363i
\(127\) 4.41203 + 6.50726i 0.391504 + 0.577426i 0.971454 0.237226i \(-0.0762383\pi\)
−0.579950 + 0.814652i \(0.696928\pi\)
\(128\) −0.161782 + 0.986827i −0.0142996 + 0.0872240i
\(129\) 0.755389 0.454503i 0.0665083 0.0400167i
\(130\) −5.75866 5.45490i −0.505068 0.478426i
\(131\) −11.3393 + 16.7242i −0.990720 + 1.46120i −0.106399 + 0.994323i \(0.533932\pi\)
−0.884321 + 0.466879i \(0.845378\pi\)
\(132\) −4.41852 0.972590i −0.384583 0.0846531i
\(133\) −3.29421 11.8647i −0.285644 1.02880i
\(134\) −12.2861 7.39230i −1.06136 0.638598i
\(135\) −2.55333 + 3.00601i −0.219755 + 0.258716i
\(136\) −3.23621 1.09041i −0.277503 0.0935016i
\(137\) −0.0237055 0.0109673i −0.00202530 0.000937002i 0.418876 0.908043i \(-0.362424\pi\)
−0.420901 + 0.907106i \(0.638286\pi\)
\(138\) −4.25857 8.03251i −0.362513 0.683772i
\(139\) 10.8583 2.39008i 0.920986 0.202724i 0.270920 0.962602i \(-0.412672\pi\)
0.650066 + 0.759878i \(0.274741\pi\)
\(140\) 5.96856 14.9799i 0.504435 1.26604i
\(141\) −6.88547 + 2.31999i −0.579861 + 0.195378i
\(142\) −15.2739 1.66114i −1.28176 0.139400i
\(143\) 0.492613 9.08570i 0.0411943 0.759785i
\(144\) 0.0541389 + 0.998533i 0.00451158 + 0.0832111i
\(145\) −8.72294 + 0.948677i −0.724401 + 0.0787833i
\(146\) −9.48119 + 4.38646i −0.784669 + 0.363026i
\(147\) −7.73463 5.87971i −0.637941 0.484950i
\(148\) 1.18322 + 0.899464i 0.0972604 + 0.0739355i
\(149\) −17.6263 + 8.15480i −1.44400 + 0.668067i −0.976419 0.215882i \(-0.930737\pi\)
−0.467583 + 0.883949i \(0.654875\pi\)
\(150\) 10.4937 1.14126i 0.856805 0.0931832i
\(151\) 0.815833 + 15.0471i 0.0663915 + 1.22452i 0.821997 + 0.569492i \(0.192860\pi\)
−0.755605 + 0.655027i \(0.772657\pi\)
\(152\) 0.163053 3.00733i 0.0132253 0.243927i
\(153\) −3.39496 0.369224i −0.274466 0.0298500i
\(154\) 17.5292 5.90629i 1.41255 0.475942i
\(155\) 4.92105 12.3509i 0.395268 0.992049i
\(156\) −1.96413 + 0.432338i −0.157257 + 0.0346148i
\(157\) −3.39552 6.40463i −0.270992 0.511145i 0.710244 0.703956i \(-0.248585\pi\)
−0.981236 + 0.192810i \(0.938240\pi\)
\(158\) 7.73289 + 3.57762i 0.615196 + 0.284620i
\(159\) −10.3170 3.47621i −0.818194 0.275682i
\(160\) 2.55333 3.00601i 0.201858 0.237646i
\(161\) 31.8500 + 19.1635i 2.51013 + 1.51030i
\(162\) 0.267528 + 0.963550i 0.0210190 + 0.0757036i
\(163\) −3.07855 0.677639i −0.241130 0.0530768i 0.0927609 0.995688i \(-0.470431\pi\)
−0.333891 + 0.942612i \(0.608362\pi\)
\(164\) 3.20162 4.72203i 0.250004 0.368729i
\(165\) 12.9547 + 12.2713i 1.00852 + 0.955323i
\(166\) −13.1298 + 7.89992i −1.01907 + 0.613153i
\(167\) 3.62903 22.1361i 0.280823 1.71295i −0.349774 0.936834i \(-0.613741\pi\)
0.630597 0.776111i \(-0.282810\pi\)
\(168\) −2.29441 3.38400i −0.177017 0.261081i
\(169\) 3.31468 + 8.31923i 0.254976 + 0.639941i
\(170\) 8.71955 + 10.2654i 0.668759 + 0.787323i
\(171\) −0.487247 2.97207i −0.0372607 0.227280i
\(172\) −0.640024 + 0.606263i −0.0488014 + 0.0462271i
\(173\) −2.68596 + 9.67394i −0.204209 + 0.735496i 0.788507 + 0.615025i \(0.210854\pi\)
−0.992717 + 0.120471i \(0.961560\pi\)
\(174\) −1.04207 + 1.96556i −0.0789994 + 0.149009i
\(175\) −34.3564 + 26.1171i −2.59710 + 1.97426i
\(176\) 4.52429 0.341032
\(177\) 3.84986 + 6.64670i 0.289373 + 0.499596i
\(178\) 2.01595 0.151102
\(179\) −4.25859 + 3.23730i −0.318302 + 0.241967i −0.752109 0.659039i \(-0.770963\pi\)
0.433807 + 0.901006i \(0.357170\pi\)
\(180\) 1.84743 3.48462i 0.137699 0.259728i
\(181\) −5.68096 + 20.4610i −0.422262 + 1.52085i 0.380630 + 0.924728i \(0.375707\pi\)
−0.802892 + 0.596124i \(0.796706\pi\)
\(182\) 5.96955 5.65466i 0.442493 0.419151i
\(183\) −0.171603 1.04673i −0.0126852 0.0773765i
\(184\) 5.88575 + 6.92924i 0.433904 + 0.510831i
\(185\) −2.16975 5.44566i −0.159523 0.400373i
\(186\) −1.89173 2.79009i −0.138708 0.204579i
\(187\) −2.49959 + 15.2468i −0.182788 + 1.11496i
\(188\) 6.22576 3.74592i 0.454061 0.273199i
\(189\) −2.96822 2.81165i −0.215906 0.204517i
\(190\) −6.66606 + 9.83170i −0.483607 + 0.713266i
\(191\) −12.4182 2.73345i −0.898548 0.197785i −0.258401 0.966038i \(-0.583196\pi\)
−0.640147 + 0.768252i \(0.721127\pi\)
\(192\) −0.267528 0.963550i −0.0193072 0.0695382i
\(193\) 6.05205 + 3.64140i 0.435636 + 0.262114i 0.716436 0.697653i \(-0.245772\pi\)
−0.280800 + 0.959766i \(0.590600\pi\)
\(194\) −3.36887 + 3.96614i −0.241871 + 0.284752i
\(195\) 7.51687 + 2.53273i 0.538295 + 0.181373i
\(196\) 8.81776 + 4.07953i 0.629840 + 0.291395i
\(197\) −8.37901 15.8045i −0.596980 1.12602i −0.979380 0.202026i \(-0.935247\pi\)
0.382401 0.923997i \(-0.375097\pi\)
\(198\) 4.41852 0.972590i 0.314010 0.0691189i
\(199\) 6.11769 15.3542i 0.433671 1.08843i −0.536043 0.844191i \(-0.680081\pi\)
0.969714 0.244242i \(-0.0785392\pi\)
\(200\) −10.0030 + 3.37040i −0.707319 + 0.238324i
\(201\) 14.2545 + 1.55027i 1.00544 + 0.109348i
\(202\) 0.242520 4.47303i 0.0170637 0.314721i
\(203\) −0.492431 9.08236i −0.0345619 0.637457i
\(204\) 3.39496 0.369224i 0.237695 0.0258508i
\(205\) −20.4215 + 9.44798i −1.42630 + 0.659876i
\(206\) −3.08345 2.34398i −0.214834 0.163313i
\(207\) 7.23773 + 5.50198i 0.503057 + 0.382414i
\(208\) 1.82527 0.844461i 0.126560 0.0585529i
\(209\) −13.5462 + 1.47323i −0.937007 + 0.101906i
\(210\) 0.873001 + 16.1016i 0.0602428 + 1.11111i
\(211\) −0.924637 + 17.0539i −0.0636546 + 1.17404i 0.775933 + 0.630816i \(0.217280\pi\)
−0.839587 + 0.543225i \(0.817203\pi\)
\(212\) 10.8231 + 1.17708i 0.743335 + 0.0808425i
\(213\) 14.5597 4.90574i 0.997615 0.336136i
\(214\) 0.764641 1.91910i 0.0522698 0.131187i
\(215\) 3.39571 0.747453i 0.231586 0.0509759i
\(216\) −0.468408 0.883512i −0.0318712 0.0601154i
\(217\) 12.5083 + 5.78694i 0.849116 + 0.392843i
\(218\) 1.94451 + 0.655181i 0.131699 + 0.0443744i
\(219\) 6.76306 7.96209i 0.457005 0.538028i
\(220\) −15.2898 9.19957i −1.03084 0.620235i
\(221\) 1.83740 + 6.61770i 0.123597 + 0.445155i
\(222\) −1.45154 0.319508i −0.0974210 0.0214440i
\(223\) −1.41092 + 2.08095i −0.0944822 + 0.139351i −0.871992 0.489520i \(-0.837172\pi\)
0.777510 + 0.628871i \(0.216482\pi\)
\(224\) 2.96822 + 2.81165i 0.198323 + 0.187861i
\(225\) −9.04460 + 5.44196i −0.602973 + 0.362797i
\(226\) −0.520819 + 3.17686i −0.0346444 + 0.211321i
\(227\) 5.26063 + 7.75886i 0.349161 + 0.514973i 0.961199 0.275854i \(-0.0889608\pi\)
−0.612039 + 0.790828i \(0.709650\pi\)
\(228\) 1.11476 + 2.79784i 0.0738270 + 0.185292i
\(229\) −2.56894 3.02439i −0.169760 0.199857i 0.670703 0.741726i \(-0.265993\pi\)
−0.840463 + 0.541869i \(0.817717\pi\)
\(230\) −5.80112 35.3852i −0.382514 2.33323i
\(231\) −13.4291 + 12.7207i −0.883571 + 0.836963i
\(232\) 0.595173 2.14362i 0.0390750 0.140736i
\(233\) 13.0595 24.6328i 0.855555 1.61375i 0.0678503 0.997696i \(-0.478386\pi\)
0.787705 0.616053i \(-0.211269\pi\)
\(234\) 1.60107 1.21710i 0.104665 0.0795642i
\(235\) −28.6568 −1.86936
\(236\) −5.18870 5.66369i −0.337755 0.368675i
\(237\) −8.52039 −0.553459
\(238\) −11.1151 + 8.44949i −0.720486 + 0.547699i
\(239\) 0.0456704 0.0861436i 0.00295417 0.00557216i −0.882031 0.471192i \(-0.843824\pi\)
0.884985 + 0.465620i \(0.154169\pi\)
\(240\) −1.05515 + 3.80029i −0.0681094 + 0.245308i
\(241\) 0.100551 0.0952467i 0.00647704 0.00613538i −0.684454 0.729056i \(-0.739959\pi\)
0.690931 + 0.722921i \(0.257201\pi\)
\(242\) −1.53195 9.34449i −0.0984776 0.600687i
\(243\) −0.647386 0.762162i −0.0415298 0.0488927i
\(244\) 0.392607 + 0.985369i 0.0251341 + 0.0630818i
\(245\) −21.5043 31.7165i −1.37386 2.02629i
\(246\) −0.922979 + 5.62992i −0.0588470 + 0.358951i
\(247\) −5.19006 + 3.12275i −0.330235 + 0.198696i
\(248\) 2.44729 + 2.31820i 0.155403 + 0.147206i
\(249\) 8.59917 12.6828i 0.544950 0.803742i
\(250\) 21.3991 + 4.71030i 1.35340 + 0.297906i
\(251\) 3.88911 + 14.0073i 0.245479 + 0.884134i 0.978897 + 0.204356i \(0.0655100\pi\)
−0.733418 + 0.679778i \(0.762076\pi\)
\(252\) 3.50325 + 2.10784i 0.220684 + 0.132781i
\(253\) 26.6289 31.3499i 1.67414 1.97095i
\(254\) 7.45041 + 2.51034i 0.467480 + 0.157512i
\(255\) −12.2240 5.65542i −0.765496 0.354156i
\(256\) 0.468408 + 0.883512i 0.0292755 + 0.0552195i
\(257\) 13.2598 2.91871i 0.827125 0.182064i 0.218818 0.975766i \(-0.429780\pi\)
0.608307 + 0.793702i \(0.291849\pi\)
\(258\) 0.326307 0.818969i 0.0203150 0.0509868i
\(259\) 5.75858 1.94029i 0.357821 0.120564i
\(260\) −7.88560 0.857610i −0.489044 0.0531867i
\(261\) 0.120443 2.22145i 0.00745526 0.137504i
\(262\) 1.09393 + 20.1763i 0.0675831 + 1.24650i
\(263\) −14.9868 + 1.62991i −0.924123 + 0.100504i −0.557793 0.829980i \(-0.688352\pi\)
−0.366331 + 0.930485i \(0.619386\pi\)
\(264\) −4.10614 + 1.89970i −0.252715 + 0.116919i
\(265\) −34.1832 25.9854i −2.09985 1.59627i
\(266\) −9.80269 7.45181i −0.601041 0.456900i
\(267\) −1.82963 + 0.846475i −0.111971 + 0.0518034i
\(268\) −14.2545 + 1.55027i −0.870733 + 0.0946979i
\(269\) −1.38604 25.5640i −0.0845085 1.55867i −0.666521 0.745487i \(-0.732217\pi\)
0.582012 0.813180i \(-0.302266\pi\)
\(270\) −0.213527 + 3.93827i −0.0129948 + 0.239675i
\(271\) 18.7300 + 2.03701i 1.13777 + 0.123740i 0.657551 0.753410i \(-0.271592\pi\)
0.480217 + 0.877150i \(0.340558\pi\)
\(272\) −3.23621 + 1.09041i −0.196224 + 0.0661156i
\(273\) −3.04349 + 7.63858i −0.184200 + 0.462308i
\(274\) −0.0255089 + 0.00561494i −0.00154105 + 0.000339211i
\(275\) 22.3695 + 42.1934i 1.34893 + 2.54436i
\(276\) −8.25128 3.81745i −0.496669 0.229783i
\(277\) 13.8702 + 4.67340i 0.833378 + 0.280798i 0.703467 0.710728i \(-0.251634\pi\)
0.129911 + 0.991526i \(0.458531\pi\)
\(278\) 7.19777 8.47387i 0.431694 0.508229i
\(279\) 2.88842 + 1.73790i 0.172925 + 0.104046i
\(280\) −4.31395 15.5374i −0.257808 0.928540i
\(281\) 9.21647 + 2.02870i 0.549808 + 0.121022i 0.481182 0.876621i \(-0.340207\pi\)
0.0686259 + 0.997642i \(0.478139\pi\)
\(282\) −4.07748 + 6.01383i −0.242810 + 0.358119i
\(283\) −6.24361 5.91426i −0.371144 0.351566i 0.479282 0.877661i \(-0.340897\pi\)
−0.850426 + 0.526095i \(0.823656\pi\)
\(284\) −13.1647 + 7.92095i −0.781183 + 0.470022i
\(285\) 1.92173 11.7220i 0.113833 0.694352i
\(286\) −5.10627 7.53118i −0.301940 0.445328i
\(287\) −8.63353 21.6685i −0.509621 1.27905i
\(288\) 0.647386 + 0.762162i 0.0381476 + 0.0449108i
\(289\) 0.863583 + 5.26762i 0.0507990 + 0.309860i
\(290\) −6.37016 + 6.03413i −0.374068 + 0.354336i
\(291\) 1.39216 5.01412i 0.0816101 0.293933i
\(292\) −4.89333 + 9.22980i −0.286361 + 0.540133i
\(293\) −10.2466 + 7.78923i −0.598611 + 0.455052i −0.860080 0.510160i \(-0.829586\pi\)
0.261469 + 0.965212i \(0.415793\pi\)
\(294\) −9.71573 −0.566633
\(295\) 6.01876 + 29.6909i 0.350426 + 1.72867i
\(296\) 1.48629 0.0863888
\(297\) −3.60176 + 2.73799i −0.208995 + 0.158874i
\(298\) −9.09710 + 17.1590i −0.526981 + 0.993992i
\(299\) 4.89163 17.6181i 0.282890 1.01888i
\(300\) 7.66328 7.25905i 0.442440 0.419101i
\(301\) 0.583116 + 3.55685i 0.0336103 + 0.205014i
\(302\) 9.75562 + 11.4852i 0.561373 + 0.660900i
\(303\) 1.65807 + 4.16144i 0.0952536 + 0.239068i
\(304\) −1.69015 2.49279i −0.0969370 0.142971i
\(305\) 0.676810 4.12836i 0.0387540 0.236389i
\(306\) −2.92615 + 1.76060i −0.167277 + 0.100647i
\(307\) −17.9442 16.9977i −1.02413 0.970108i −0.0245684 0.999698i \(-0.507821\pi\)
−0.999562 + 0.0295902i \(0.990580\pi\)
\(308\) 10.3806 15.3102i 0.591488 0.872379i
\(309\) 3.78267 + 0.832629i 0.215189 + 0.0473666i
\(310\) −3.55684 12.8106i −0.202015 0.727591i
\(311\) 11.6160 + 6.98913i 0.658684 + 0.396317i 0.805293 0.592877i \(-0.202008\pi\)
−0.146608 + 0.989195i \(0.546836\pi\)
\(312\) −1.30199 + 1.53282i −0.0737108 + 0.0867791i
\(313\) 15.7088 + 5.29292i 0.887916 + 0.299174i 0.726052 0.687639i \(-0.241353\pi\)
0.161864 + 0.986813i \(0.448250\pi\)
\(314\) −6.57907 3.04380i −0.371278 0.171772i
\(315\) −7.55319 14.2468i −0.425574 0.802717i
\(316\) 8.32118 1.83163i 0.468103 0.103037i
\(317\) −12.9032 + 32.3846i −0.724717 + 1.81890i −0.172894 + 0.984941i \(0.555312\pi\)
−0.551823 + 0.833961i \(0.686068\pi\)
\(318\) −10.3170 + 3.47621i −0.578551 + 0.194936i
\(319\) −10.0062 1.08824i −0.560242 0.0609300i
\(320\) 0.213527 3.93827i 0.0119365 0.220156i
\(321\) 0.111842 + 2.06280i 0.00624239 + 0.115134i
\(322\) 36.9529 4.01886i 2.05930 0.223963i
\(323\) 9.33445 4.31858i 0.519383 0.240292i
\(324\) 0.796093 + 0.605174i 0.0442274 + 0.0336208i
\(325\) 16.9001 + 12.8471i 0.937450 + 0.712631i
\(326\) −2.86090 + 1.32359i −0.158451 + 0.0733070i
\(327\) −2.03989 + 0.221851i −0.112806 + 0.0122684i
\(328\) −0.308867 5.69671i −0.0170543 0.314548i
\(329\) 1.60826 29.6626i 0.0886663 1.63535i
\(330\) 17.7395 + 1.92928i 0.976525 + 0.106203i
\(331\) 8.67154 2.92178i 0.476631 0.160596i −0.0707244 0.997496i \(-0.522531\pi\)
0.547356 + 0.836900i \(0.315635\pi\)
\(332\) −5.67169 + 14.2349i −0.311275 + 0.781240i
\(333\) 1.45154 0.319508i 0.0795439 0.0175089i
\(334\) −10.5072 19.8186i −0.574927 1.08443i
\(335\) 51.3253 + 23.7456i 2.80420 + 1.29736i
\(336\) −3.87447 1.30546i −0.211370 0.0712187i
\(337\) −7.27154 + 8.56072i −0.396106 + 0.466332i −0.923673 0.383181i \(-0.874829\pi\)
0.527567 + 0.849513i \(0.323104\pi\)
\(338\) 7.67338 + 4.61692i 0.417377 + 0.251127i
\(339\) −0.861245 3.10192i −0.0467764 0.168473i
\(340\) 13.1540 + 2.89540i 0.713373 + 0.157025i
\(341\) 8.55874 12.6232i 0.463482 0.683585i
\(342\) −2.18652 2.07118i −0.118233 0.111996i
\(343\) 9.51389 5.72432i 0.513702 0.309084i
\(344\) −0.142624 + 0.869968i −0.00768977 + 0.0469055i
\(345\) 20.1228 + 29.6789i 1.08338 + 1.59786i
\(346\) 3.71615 + 9.32683i 0.199781 + 0.501413i
\(347\) −5.29876 6.23818i −0.284452 0.334883i 0.601316 0.799012i \(-0.294643\pi\)
−0.885768 + 0.464129i \(0.846368\pi\)
\(348\) 0.359918 + 2.19540i 0.0192936 + 0.117686i
\(349\) 21.9921 20.8320i 1.17721 1.11511i 0.186034 0.982543i \(-0.440436\pi\)
0.991174 0.132568i \(-0.0423222\pi\)
\(350\) −11.5455 + 41.5832i −0.617134 + 2.22272i
\(351\) −0.942041 + 1.77688i −0.0502824 + 0.0948427i
\(352\) 3.60176 2.73799i 0.191974 0.145935i
\(353\) 14.1837 0.754920 0.377460 0.926026i \(-0.376798\pi\)
0.377460 + 0.926026i \(0.376798\pi\)
\(354\) 7.08726 + 2.96155i 0.376683 + 0.157405i
\(355\) 60.5963 3.21612
\(356\) 1.60488 1.22000i 0.0850586 0.0646599i
\(357\) 6.53996 12.3357i 0.346131 0.652873i
\(358\) −1.43111 + 5.15438i −0.0756363 + 0.272418i
\(359\) −14.5313 + 13.7648i −0.766934 + 0.726479i −0.967409 0.253220i \(-0.918510\pi\)
0.200474 + 0.979699i \(0.435752\pi\)
\(360\) −0.638077 3.89210i −0.0336296 0.205131i
\(361\) −6.42814 7.56779i −0.338323 0.398305i
\(362\) 7.85988 + 19.7268i 0.413106 + 1.03682i
\(363\) 5.31401 + 7.83758i 0.278913 + 0.411366i
\(364\) 1.33026 8.11425i 0.0697248 0.425303i
\(365\) 35.3046 21.2421i 1.84793 1.11186i
\(366\) −0.770066 0.729445i −0.0402520 0.0381287i
\(367\) 12.8221 18.9112i 0.669310 0.987159i −0.329761 0.944064i \(-0.606968\pi\)
0.999071 0.0430941i \(-0.0137215\pi\)
\(368\) 8.87901 + 1.95442i 0.462850 + 0.101881i
\(369\) −1.52627 5.49713i −0.0794545 0.286169i
\(370\) −5.02290 3.02218i −0.261128 0.157116i
\(371\) 28.8159 33.9247i 1.49605 1.76128i
\(372\) −3.19448 1.07635i −0.165626 0.0558060i
\(373\) −1.39638 0.646033i −0.0723017 0.0334503i 0.383405 0.923580i \(-0.374751\pi\)
−0.455707 + 0.890130i \(0.650613\pi\)
\(374\) 7.23708 + 13.6506i 0.374220 + 0.705854i
\(375\) −21.3991 + 4.71030i −1.10505 + 0.243239i
\(376\) 2.68935 6.74977i 0.138693 0.348093i
\(377\) −4.24002 + 1.42863i −0.218372 + 0.0735782i
\(378\) −4.06452 0.442043i −0.209056 0.0227363i
\(379\) 0.447735 8.25798i 0.0229986 0.424184i −0.964250 0.264996i \(-0.914629\pi\)
0.987248 0.159188i \(-0.0508877\pi\)
\(380\) 0.643089 + 11.8611i 0.0329898 + 0.608460i
\(381\) −7.81587 + 0.850027i −0.400419 + 0.0435482i
\(382\) −11.5402 + 5.33908i −0.590450 + 0.273171i
\(383\) 4.89057 + 3.71771i 0.249896 + 0.189966i 0.722622 0.691243i \(-0.242937\pi\)
−0.472726 + 0.881210i \(0.656730\pi\)
\(384\) −0.796093 0.605174i −0.0406255 0.0308827i
\(385\) −66.2123 + 30.6331i −3.37449 + 1.56121i
\(386\) 7.02168 0.763653i 0.357394 0.0388689i
\(387\) 0.0477278 + 0.880288i 0.00242614 + 0.0447476i
\(388\) −0.281728 + 5.19617i −0.0143026 + 0.263796i
\(389\) −6.09787 0.663184i −0.309174 0.0336248i −0.0477834 0.998858i \(-0.515216\pi\)
−0.261391 + 0.965233i \(0.584181\pi\)
\(390\) 7.51687 2.53273i 0.380632 0.128250i
\(391\) −11.4919 + 28.8424i −0.581168 + 1.45862i
\(392\) 9.48858 2.08860i 0.479246 0.105490i
\(393\) −9.46463 17.8522i −0.477428 0.900524i
\(394\) −16.2349 7.51108i −0.817904 0.378403i
\(395\) −31.8457 10.7301i −1.60233 0.539889i
\(396\) 2.92897 3.44825i 0.147186 0.173281i
\(397\) 20.0098 + 12.0395i 1.00426 + 0.604245i 0.919885 0.392189i \(-0.128282\pi\)
0.0843784 + 0.996434i \(0.473110\pi\)
\(398\) −4.42174 15.9257i −0.221642 0.798282i
\(399\) 12.0256 + 2.64704i 0.602034 + 0.132518i
\(400\) −5.92364 + 8.73672i −0.296182 + 0.436836i
\(401\) −6.56775 6.22130i −0.327978 0.310677i 0.505937 0.862570i \(-0.331147\pi\)
−0.833915 + 0.551894i \(0.813905\pi\)
\(402\) 12.2861 7.39230i 0.612775 0.368694i
\(403\) 1.09680 6.69017i 0.0546354 0.333261i
\(404\) −2.51389 3.70771i −0.125071 0.184466i
\(405\) −1.45984 3.66393i −0.0725403 0.182062i
\(406\) −5.88843 6.93240i −0.292238 0.344049i
\(407\) −1.08789 6.63582i −0.0539246 0.328926i
\(408\) 2.47926 2.34848i 0.122742 0.116267i
\(409\) −0.0717216 + 0.258318i −0.00354641 + 0.0127730i −0.965302 0.261136i \(-0.915903\pi\)
0.961756 + 0.273909i \(0.0883167\pi\)
\(410\) −10.5397 + 19.8800i −0.520520 + 0.981804i
\(411\) 0.0207936 0.0158069i 0.00102567 0.000779697i
\(412\) −3.87323 −0.190820
\(413\) −31.0709 + 4.56372i −1.52890 + 0.224566i
\(414\) 9.09156 0.446826
\(415\) 48.1122 36.5740i 2.36174 1.79535i
\(416\) 0.942041 1.77688i 0.0461874 0.0871186i
\(417\) −2.97443 + 10.7129i −0.145659 + 0.524615i
\(418\) −9.89244 + 9.37062i −0.483855 + 0.458332i
\(419\) 1.30415 + 7.95499i 0.0637121 + 0.388626i 0.999363 + 0.0356986i \(0.0113656\pi\)
−0.935651 + 0.352928i \(0.885186\pi\)
\(420\) 10.4392 + 12.2900i 0.509383 + 0.599692i
\(421\) −0.112735 0.282943i −0.00549437 0.0137898i 0.926204 0.377023i \(-0.123052\pi\)
−0.931698 + 0.363233i \(0.881673\pi\)
\(422\) 9.58449 + 14.1361i 0.466566 + 0.688133i
\(423\) 1.17548 7.17010i 0.0571537 0.348622i
\(424\) 9.32855 5.61280i 0.453034 0.272582i
\(425\) −26.1699 24.7895i −1.26943 1.20247i
\(426\) 8.62206 12.7166i 0.417740 0.616121i
\(427\) 4.23528 + 0.932257i 0.204960 + 0.0451151i
\(428\) −0.552667 1.99053i −0.0267142 0.0962157i
\(429\) 7.79658 + 4.69105i 0.376423 + 0.226486i
\(430\) 2.25096 2.65004i 0.108551 0.127796i
\(431\) −25.3423 8.53882i −1.22070 0.411300i −0.366091 0.930579i \(-0.619304\pi\)
−0.854605 + 0.519279i \(0.826201\pi\)
\(432\) −0.907575 0.419889i −0.0436657 0.0202019i
\(433\) 1.72626 + 3.25608i 0.0829589 + 0.156477i 0.921521 0.388330i \(-0.126948\pi\)
−0.838562 + 0.544807i \(0.816603\pi\)
\(434\) 13.4598 2.96274i 0.646093 0.142216i
\(435\) 3.24773 8.15119i 0.155717 0.390820i
\(436\) 1.94451 0.655181i 0.0931250 0.0313775i
\(437\) −27.2210 2.96046i −1.30216 0.141618i
\(438\) 0.565574 10.4314i 0.0270242 0.498432i
\(439\) 1.81256 + 33.4307i 0.0865086 + 1.59556i 0.643769 + 0.765220i \(0.277370\pi\)
−0.557260 + 0.830338i \(0.688147\pi\)
\(440\) −17.7395 + 1.92928i −0.845695 + 0.0919749i
\(441\) 8.81776 4.07953i 0.419893 0.194263i
\(442\) 5.46760 + 4.15636i 0.260067 + 0.197698i
\(443\) −9.47281 7.20104i −0.450067 0.342132i 0.355460 0.934692i \(-0.384324\pi\)
−0.805527 + 0.592560i \(0.798117\pi\)
\(444\) −1.34892 + 0.624077i −0.0640169 + 0.0296174i
\(445\) −7.90440 + 0.859655i −0.374704 + 0.0407516i
\(446\) 0.136114 + 2.51048i 0.00644521 + 0.118875i
\(447\) 1.05145 19.3928i 0.0497318 0.917249i
\(448\) 4.06452 + 0.442043i 0.192031 + 0.0208846i
\(449\) −27.8349 + 9.37867i −1.31361 + 0.442607i −0.886975 0.461817i \(-0.847198\pi\)
−0.426635 + 0.904424i \(0.640301\pi\)
\(450\) −3.90701 + 9.80586i −0.184178 + 0.462253i
\(451\) −25.2080 + 5.54870i −1.18700 + 0.261278i
\(452\) 1.50793 + 2.84426i 0.0709271 + 0.133783i
\(453\) −13.6765 6.32741i −0.642577 0.297288i
\(454\) 8.88341 + 2.99317i 0.416919 + 0.140476i
\(455\) −20.9949 + 24.7171i −0.984257 + 1.15876i
\(456\) 2.58064 + 1.55272i 0.120849 + 0.0727127i
\(457\) −3.17908 11.4500i −0.148711 0.535609i −0.999941 0.0108168i \(-0.996557\pi\)
0.851230 0.524792i \(-0.175857\pi\)
\(458\) −3.87539 0.853039i −0.181085 0.0398599i
\(459\) 1.91644 2.82654i 0.0894518 0.131931i
\(460\) −26.0325 24.6593i −1.21377 1.14974i
\(461\) 4.55215 2.73894i 0.212015 0.127565i −0.405586 0.914057i \(-0.632932\pi\)
0.617601 + 0.786492i \(0.288105\pi\)
\(462\) −2.99257 + 18.2538i −0.139227 + 0.849246i
\(463\) 1.62740 + 2.40024i 0.0756318 + 0.111549i 0.863624 0.504137i \(-0.168189\pi\)
−0.787992 + 0.615686i \(0.788879\pi\)
\(464\) −0.823450 2.06670i −0.0382277 0.0959443i
\(465\) 8.60712 + 10.1331i 0.399145 + 0.469910i
\(466\) −4.51057 27.5133i −0.208948 1.27453i
\(467\) 14.6669 13.8933i 0.678705 0.642904i −0.268594 0.963253i \(-0.586559\pi\)
0.947299 + 0.320350i \(0.103800\pi\)
\(468\) 0.538040 1.93785i 0.0248709 0.0895770i
\(469\) −27.4595 + 51.7942i −1.26796 + 2.39163i
\(470\) −22.8134 + 17.3423i −1.05231 + 0.799942i
\(471\) 7.24906 0.334019
\(472\) −7.55821 1.36876i −0.347895 0.0630023i
\(473\) 3.98853 0.183393
\(474\) −6.78302 + 5.15632i −0.311554 + 0.236838i
\(475\) 14.8910 28.0874i 0.683247 1.28874i
\(476\) −3.73525 + 13.4532i −0.171205 + 0.616625i
\(477\) 7.90386 7.48694i 0.361893 0.342803i
\(478\) −0.0157740 0.0962169i −0.000721484 0.00440086i
\(479\) 1.75343 + 2.06430i 0.0801162 + 0.0943201i 0.800760 0.598986i \(-0.204429\pi\)
−0.720644 + 0.693306i \(0.756154\pi\)
\(480\) 1.45984 + 3.66393i 0.0666325 + 0.167235i
\(481\) −1.67747 2.47409i −0.0764863 0.112809i
\(482\) 0.0224069 0.136676i 0.00102061 0.00622542i
\(483\) −31.8500 + 19.1635i −1.44923 + 0.871970i
\(484\) −6.87462 6.51199i −0.312483 0.296000i
\(485\) 11.5178 16.9876i 0.522998 0.771365i
\(486\) −0.976621 0.214970i −0.0443004 0.00975126i
\(487\) −9.49758 34.2072i −0.430376 1.55008i −0.787678 0.616087i \(-0.788717\pi\)
0.357302 0.933989i \(-0.383697\pi\)
\(488\) 0.908872 + 0.546850i 0.0411427 + 0.0247547i
\(489\) 2.04072 2.40252i 0.0922845 0.108646i
\(490\) −36.3135 12.2354i −1.64048 0.552740i
\(491\) 36.4212 + 16.8502i 1.64367 + 0.760441i 0.999988 0.00485570i \(-0.00154562\pi\)
0.643678 + 0.765297i \(0.277408\pi\)
\(492\) 2.67231 + 5.04051i 0.120477 + 0.227244i
\(493\) 7.41971 1.63320i 0.334167 0.0735557i
\(494\) −2.24196 + 5.62689i −0.100870 + 0.253166i
\(495\) −16.9100 + 5.69763i −0.760047 + 0.256090i
\(496\) 3.35118 + 0.364463i 0.150473 + 0.0163649i
\(497\) −3.40076 + 62.7233i −0.152545 + 2.81352i
\(498\) −0.829580 15.3007i −0.0371744 0.685641i
\(499\) −2.09462 + 0.227804i −0.0937683 + 0.0101979i −0.154883 0.987933i \(-0.549500\pi\)
0.0611146 + 0.998131i \(0.480534\pi\)
\(500\) 19.8862 9.20036i 0.889340 0.411452i
\(501\) 17.8577 + 13.5750i 0.797822 + 0.606488i
\(502\) 11.5730 + 8.79754i 0.516527 + 0.392653i
\(503\) 12.1189 5.60679i 0.540355 0.249995i −0.130675 0.991425i \(-0.541714\pi\)
0.671030 + 0.741431i \(0.265852\pi\)
\(504\) 4.06452 0.442043i 0.181048 0.0196902i
\(505\) 0.956513 + 17.6418i 0.0425643 + 0.785052i
\(506\) 2.22689 41.0726i 0.0989974 1.82590i
\(507\) −8.90277 0.968234i −0.395386 0.0430008i
\(508\) 7.45041 2.51034i 0.330558 0.111378i
\(509\) −7.40888 + 18.5949i −0.328393 + 0.824204i 0.668372 + 0.743828i \(0.266992\pi\)
−0.996765 + 0.0803766i \(0.974388\pi\)
\(510\) −13.1540 + 2.89540i −0.582467 + 0.128211i
\(511\) 20.0063 + 37.7359i 0.885028 + 1.66934i
\(512\) 0.907575 + 0.419889i 0.0401095 + 0.0185567i
\(513\) 2.85409 + 0.961656i 0.126011 + 0.0424581i
\(514\) 8.78973 10.3481i 0.387698 0.456434i
\(515\) 13.0895 + 7.87571i 0.576794 + 0.347045i
\(516\) −0.235848 0.849448i −0.0103826 0.0373948i
\(517\) −32.1041 7.06665i −1.41194 0.310791i
\(518\) 3.41015 5.02960i 0.149833 0.220988i
\(519\) −7.28892 6.90443i −0.319948 0.303071i
\(520\) −6.79667 + 4.08942i −0.298054 + 0.179333i
\(521\) −2.13040 + 12.9948i −0.0933343 + 0.569314i 0.898212 + 0.439562i \(0.144866\pi\)
−0.991546 + 0.129752i \(0.958582\pi\)
\(522\) −1.24848 1.84137i −0.0546444 0.0805945i
\(523\) 11.7730 + 29.5479i 0.514796 + 1.29204i 0.924973 + 0.380034i \(0.124088\pi\)
−0.410177 + 0.912006i \(0.634533\pi\)
\(524\) 13.0810 + 15.4002i 0.571448 + 0.672761i
\(525\) −6.98190 42.5877i −0.304715 1.85868i
\(526\) −10.9445 + 10.3672i −0.477202 + 0.452030i
\(527\) −3.07970 + 11.0921i −0.134154 + 0.483179i
\(528\) −2.11922 + 3.99727i −0.0922271 + 0.173959i
\(529\) 47.4922 36.1026i 2.06488 1.56968i
\(530\) −42.9386 −1.86514
\(531\) −7.67574 + 0.288032i −0.333099 + 0.0124995i
\(532\) −12.3135 −0.533858
\(533\) −9.13420 + 6.94364i −0.395646 + 0.300762i
\(534\) −0.944287 + 1.78111i −0.0408633 + 0.0770764i
\(535\) −2.17975 + 7.85074i −0.0942387 + 0.339417i
\(536\) −10.4097 + 9.86062i −0.449632 + 0.425914i
\(537\) −0.865431 5.27890i −0.0373461 0.227801i
\(538\) −16.5741 19.5126i −0.714561 0.841246i
\(539\) −16.2701 40.8349i −0.700803 1.75888i
\(540\) 2.21335 + 3.26445i 0.0952475 + 0.140480i
\(541\) −1.32642 + 8.09082i −0.0570274 + 0.347852i 0.942865 + 0.333175i \(0.108120\pi\)
−0.999892 + 0.0146763i \(0.995328\pi\)
\(542\) 16.1436 9.71328i 0.693427 0.417221i
\(543\) −15.4165 14.6033i −0.661586 0.626687i
\(544\) −1.91644 + 2.82654i −0.0821667 + 0.121187i
\(545\) −7.90367 1.73973i −0.338556 0.0745218i
\(546\) 2.19977 + 7.92286i 0.0941415 + 0.339067i
\(547\) −28.9048 17.3914i −1.23588 0.743605i −0.260787 0.965396i \(-0.583982\pi\)
−0.975094 + 0.221792i \(0.928809\pi\)
\(548\) −0.0169095 + 0.0199074i −0.000722336 + 0.000850400i
\(549\) 1.00518 + 0.338684i 0.0429000 + 0.0144547i
\(550\) 43.3426 + 20.0524i 1.84813 + 0.855037i
\(551\) 3.13846 + 5.91977i 0.133703 + 0.252191i
\(552\) −8.87901 + 1.95442i −0.377916 + 0.0831855i
\(553\) 12.8939 32.3614i 0.548306 1.37615i
\(554\) 13.8702 4.67340i 0.589287 0.198554i
\(555\) 5.82764 + 0.633794i 0.247370 + 0.0269031i
\(556\) 0.601927 11.1019i 0.0255274 0.470825i
\(557\) −1.54442 28.4851i −0.0654391 1.20695i −0.828260 0.560343i \(-0.810669\pi\)
0.762821 0.646609i \(-0.223814\pi\)
\(558\) 3.35118 0.364463i 0.141867 0.0154290i
\(559\) 1.60913 0.744461i 0.0680588 0.0314874i
\(560\) −12.8372 9.75856i −0.542469 0.412375i
\(561\) −12.2999 9.35016i −0.519303 0.394764i
\(562\) 8.56488 3.96254i 0.361288 0.167149i
\(563\) 4.64616 0.505300i 0.195812 0.0212959i −0.00968728 0.999953i \(-0.503084\pi\)
0.205500 + 0.978657i \(0.434118\pi\)
\(564\) 0.393363 + 7.25516i 0.0165636 + 0.305497i
\(565\) 0.687399 12.6783i 0.0289191 0.533382i
\(566\) −8.54965 0.929831i −0.359369 0.0390837i
\(567\) 3.87447 1.30546i 0.162712 0.0548242i
\(568\) −5.68679 + 14.2728i −0.238612 + 0.598872i
\(569\) −1.67429 + 0.368539i −0.0701898 + 0.0154499i −0.249927 0.968265i \(-0.580406\pi\)
0.179737 + 0.983715i \(0.442475\pi\)
\(570\) −5.56399 10.4948i −0.233050 0.439578i
\(571\) 10.7534 + 4.97504i 0.450015 + 0.208199i 0.631788 0.775142i \(-0.282322\pi\)
−0.181773 + 0.983341i \(0.558184\pi\)
\(572\) −8.62274 2.90534i −0.360535 0.121478i
\(573\) 8.23181 9.69124i 0.343889 0.404857i
\(574\) −19.9863 12.0254i −0.834213 0.501929i
\(575\) 25.6738 + 92.4685i 1.07067 + 3.85620i
\(576\) 0.976621 + 0.214970i 0.0406925 + 0.00895710i
\(577\) −15.4474 + 22.7832i −0.643083 + 0.948476i 0.356815 + 0.934175i \(0.383863\pi\)
−0.999898 + 0.0143012i \(0.995448\pi\)
\(578\) 3.87532 + 3.67090i 0.161192 + 0.152689i
\(579\) −6.05205 + 3.64140i −0.251515 + 0.151331i
\(580\) −1.41954 + 8.65879i −0.0589430 + 0.359537i
\(581\) 35.1576 + 51.8536i 1.45858 + 2.15125i
\(582\) −1.92613 4.83421i −0.0798405 0.200385i
\(583\) −31.8875 37.5408i −1.32064 1.55478i
\(584\) 1.69009 + 10.3091i 0.0699365 + 0.426594i
\(585\) −5.75866 + 5.45490i −0.238091 + 0.225532i
\(586\) −3.44337 + 12.4019i −0.142244 + 0.512318i
\(587\) −15.7985 + 29.7991i −0.652073 + 1.22994i 0.308317 + 0.951284i \(0.400234\pi\)
−0.960391 + 0.278657i \(0.910111\pi\)
\(588\) −7.73463 + 5.87971i −0.318971 + 0.242475i
\(589\) −10.1524 −0.418324
\(590\) 22.7597 + 19.9944i 0.937002 + 0.823155i
\(591\) 17.8882 0.735824
\(592\) 1.18322 0.899464i 0.0486302 0.0369677i
\(593\) 2.03455 3.83758i 0.0835492 0.157590i −0.838217 0.545337i \(-0.816402\pi\)
0.921766 + 0.387747i \(0.126746\pi\)
\(594\) −1.21038 + 4.35938i −0.0496624 + 0.178868i
\(595\) 39.9785 37.8697i 1.63896 1.55251i
\(596\) 3.14202 + 19.1655i 0.128702 + 0.785048i
\(597\) 10.7001 + 12.5971i 0.437925 + 0.515565i
\(598\) −6.76780 16.9859i −0.276756 0.694605i
\(599\) −8.16731 12.0459i −0.333707 0.492182i 0.623405 0.781899i \(-0.285749\pi\)
−0.957112 + 0.289718i \(0.906439\pi\)
\(600\) 1.70770 10.4165i 0.0697165 0.425252i
\(601\) 1.22535 0.737267i 0.0499830 0.0300738i −0.490343 0.871530i \(-0.663129\pi\)
0.540326 + 0.841456i \(0.318301\pi\)
\(602\) 2.61673 + 2.47870i 0.106650 + 0.101024i
\(603\) −8.04662 + 11.8679i −0.327684 + 0.483297i
\(604\) 14.7169 + 3.23944i 0.598824 + 0.131811i
\(605\) 9.99143 + 35.9859i 0.406209 + 1.46303i
\(606\) 3.83837 + 2.30947i 0.155923 + 0.0938159i
\(607\) −11.9650 + 14.0863i −0.485645 + 0.571745i −0.949340 0.314249i \(-0.898247\pi\)
0.463696 + 0.885995i \(0.346523\pi\)
\(608\) −2.85409 0.961656i −0.115749 0.0390003i
\(609\) 8.25503 + 3.81919i 0.334511 + 0.154761i
\(610\) −1.95957 3.69615i −0.0793408 0.149653i
\(611\) −14.2710 + 3.14129i −0.577344 + 0.127083i
\(612\) −1.26401 + 3.17243i −0.0510947 + 0.128238i
\(613\) −3.16368 + 1.06597i −0.127780 + 0.0430540i −0.382465 0.923970i \(-0.624925\pi\)
0.254685 + 0.967024i \(0.418028\pi\)
\(614\) −24.5718 2.67235i −0.991638 0.107847i
\(615\) 1.21819 22.4681i 0.0491220 0.906003i
\(616\) −1.00144 18.4704i −0.0403490 0.744193i
\(617\) −41.5668 + 4.52066i −1.67342 + 0.181995i −0.895096 0.445874i \(-0.852893\pi\)
−0.778319 + 0.627868i \(0.783928\pi\)
\(618\) 3.51525 1.62633i 0.141404 0.0654204i
\(619\) 34.2833 + 26.0615i 1.37796 + 1.04750i 0.992168 + 0.124914i \(0.0398655\pi\)
0.385794 + 0.922585i \(0.373928\pi\)
\(620\) −10.5842 8.04590i −0.425072 0.323131i
\(621\) −8.25128 + 3.81745i −0.331112 + 0.153189i
\(622\) 13.4771 1.46572i 0.540382 0.0587701i
\(623\) −0.446223 8.23009i −0.0178775 0.329732i
\(624\) −0.108882 + 2.00820i −0.00435875 + 0.0803925i
\(625\) −33.4447 3.63733i −1.33779 0.145493i
\(626\) 15.7088 5.29292i 0.627851 0.211548i
\(627\) 5.04351 12.6583i 0.201419 0.505523i
\(628\) −7.07958 + 1.55833i −0.282506 + 0.0621843i
\(629\) 2.37747 + 4.48439i 0.0947961 + 0.178804i
\(630\) −14.6348 6.77080i −0.583066 0.269755i
\(631\) −1.92602 0.648953i −0.0766738 0.0258344i 0.280703 0.959795i \(-0.409432\pi\)
−0.357377 + 0.933960i \(0.616329\pi\)
\(632\) 5.51598 6.49391i 0.219414 0.258314i
\(633\) −14.6342 8.80513i −0.581659 0.349972i
\(634\) 9.32618 + 33.5899i 0.370390 + 1.33402i
\(635\) −30.2830 6.66580i −1.20175 0.264524i
\(636\) −6.10961 + 9.01100i −0.242262 + 0.357309i
\(637\) −14.1858 13.4375i −0.562063 0.532414i
\(638\) −8.62448 + 5.18918i −0.341446 + 0.205441i
\(639\) −2.48561 + 15.1616i −0.0983294 + 0.599783i
\(640\) −2.21335 3.26445i −0.0874904 0.129039i
\(641\) −10.2333 25.6838i −0.404193 1.01445i −0.980378 0.197128i \(-0.936839\pi\)
0.576185 0.817319i \(-0.304541\pi\)
\(642\) 1.33739 + 1.57449i 0.0527825 + 0.0621403i
\(643\) 5.52672 + 33.7115i 0.217953 + 1.32945i 0.838336 + 0.545154i \(0.183529\pi\)
−0.620383 + 0.784299i \(0.713023\pi\)
\(644\) 26.9858 25.5623i 1.06339 1.00730i
\(645\) −0.930197 + 3.35027i −0.0366265 + 0.131917i
\(646\) 4.81760 9.08696i 0.189546 0.357522i
\(647\) −24.3798 + 18.5330i −0.958467 + 0.728608i −0.962471 0.271384i \(-0.912519\pi\)
0.00400412 + 0.999992i \(0.498725\pi\)
\(648\) 1.00000 0.0392837
\(649\) −0.578870 + 34.7469i −0.0227226 + 1.36394i
\(650\) 21.2288 0.832663
\(651\) −10.9718 + 8.34055i −0.430019 + 0.326892i
\(652\) −1.47654 + 2.78505i −0.0578257 + 0.109071i
\(653\) 12.6925 45.7142i 0.496696 1.78894i −0.109920 0.993940i \(-0.535059\pi\)
0.606615 0.794996i \(-0.292527\pi\)
\(654\) −1.48968 + 1.41110i −0.0582512 + 0.0551785i
\(655\) −12.8929 78.6435i −0.503769 3.07285i
\(656\) −3.69339 4.34819i −0.144203 0.169768i
\(657\) 3.86673 + 9.70476i 0.150855 + 0.378619i
\(658\) −16.6707 24.5875i −0.649893 0.958520i
\(659\) −6.04693 + 36.8846i −0.235555 + 1.43682i 0.558767 + 0.829325i \(0.311275\pi\)
−0.794322 + 0.607497i \(0.792174\pi\)
\(660\) 15.2898 9.19957i 0.595155 0.358093i
\(661\) −24.0518 22.7831i −0.935509 0.886161i 0.0581833 0.998306i \(-0.481469\pi\)
−0.993692 + 0.112145i \(0.964228\pi\)
\(662\) 5.13517 7.57381i 0.199584 0.294364i
\(663\) −6.70747 1.47643i −0.260496 0.0573396i
\(664\) 4.09938 + 14.7647i 0.159087 + 0.572980i
\(665\) 41.6133 + 25.0379i 1.61370 + 0.970928i
\(666\) 0.962203 1.13279i 0.0372846 0.0438948i
\(667\) −19.1673 6.45822i −0.742162 0.250063i
\(668\) −20.3584 9.41880i −0.787690 0.364424i
\(669\) −1.17766 2.22130i −0.0455309 0.0858804i
\(670\) 55.2299 12.1570i 2.13372 0.469667i
\(671\) 1.77627 4.45810i 0.0685721 0.172103i
\(672\) −3.87447 + 1.30546i −0.149461 + 0.0503592i
\(673\) 8.50082 + 0.924520i 0.327683 + 0.0356376i 0.270482 0.962725i \(-0.412817\pi\)
0.0572007 + 0.998363i \(0.481782\pi\)
\(674\) −0.608097 + 11.2157i −0.0234230 + 0.432012i
\(675\) −0.571466 10.5401i −0.0219957 0.405688i
\(676\) 8.90277 0.968234i 0.342414 0.0372398i
\(677\) 6.79905 3.14558i 0.261309 0.120894i −0.284861 0.958569i \(-0.591947\pi\)
0.546170 + 0.837675i \(0.316085\pi\)
\(678\) −2.56284 1.94822i −0.0984251 0.0748208i
\(679\) 16.9374 + 12.8755i 0.649999 + 0.494116i
\(680\) 12.2240 5.65542i 0.468769 0.216876i
\(681\) −9.31917 + 1.01352i −0.357111 + 0.0388382i
\(682\) −0.825680 15.2288i −0.0316169 0.583140i
\(683\) 1.01095 18.6459i 0.0386829 0.713464i −0.913295 0.407298i \(-0.866471\pi\)
0.951978 0.306166i \(-0.0990463\pi\)
\(684\) −2.99409 0.325627i −0.114482 0.0124507i
\(685\) 0.0976244 0.0328935i 0.00373004 0.00125680i
\(686\) 4.10973 10.3146i 0.156910 0.393815i
\(687\) 3.87539 0.853039i 0.147856 0.0325455i
\(688\) 0.412940 + 0.778888i 0.0157432 + 0.0296948i
\(689\) −19.8716 9.19359i −0.757049 0.350248i
\(690\) 33.9806 + 11.4494i 1.29362 + 0.435871i
\(691\) 9.67836 11.3942i 0.368182 0.433458i −0.546607 0.837389i \(-0.684081\pi\)
0.914789 + 0.403932i \(0.132357\pi\)
\(692\) 8.60275 + 5.17611i 0.327028 + 0.196766i
\(693\) −4.94861 17.8233i −0.187982 0.677051i
\(694\) −7.99349 1.75950i −0.303429 0.0667897i
\(695\) −24.6085 + 36.2948i −0.933453 + 1.37674i
\(696\) 1.61513 + 1.52993i 0.0612213 + 0.0579919i
\(697\) 16.6939 10.0444i 0.632326 0.380458i
\(698\) 4.90075 29.8932i 0.185496 1.13148i
\(699\) 15.6462 + 23.0764i 0.591794 + 0.872830i
\(700\) 15.9738 + 40.0912i 0.603752 + 1.51530i
\(701\) 5.31119 + 6.25282i 0.200601 + 0.236166i 0.853260 0.521486i \(-0.174622\pi\)
−0.652659 + 0.757652i \(0.726346\pi\)
\(702\) 0.325368 + 1.98466i 0.0122802 + 0.0749061i
\(703\) −3.24979 + 3.07837i −0.122568 + 0.116103i
\(704\) 1.21038 4.35938i 0.0456178 0.164300i
\(705\) 13.4231 25.3186i 0.505542 0.953553i
\(706\) 11.2915 8.58358i 0.424962 0.323047i
\(707\) −18.3148 −0.688798
\(708\) 7.43437 1.93136i 0.279401 0.0725848i
\(709\) 7.46260 0.280264 0.140132 0.990133i \(-0.455247\pi\)
0.140132 + 0.990133i \(0.455247\pi\)
\(710\) 48.2403 36.6713i 1.81043 1.37625i
\(711\) 3.99102 7.52786i 0.149675 0.282317i
\(712\) 0.539323 1.94247i 0.0202120 0.0727970i
\(713\) 22.2497 21.0760i 0.833257 0.789303i
\(714\) −2.25881 13.7782i −0.0845340 0.515635i
\(715\) 23.2328 + 27.3518i 0.868859 + 1.02290i
\(716\) 1.98000 + 4.96944i 0.0739962 + 0.185717i
\(717\) 0.0547165 + 0.0807008i 0.00204342 + 0.00301383i
\(718\) −3.23818 + 19.7521i −0.120848 + 0.737140i
\(719\) 10.6301 6.39589i 0.396434 0.238527i −0.303352 0.952878i \(-0.598106\pi\)
0.699787 + 0.714352i \(0.253278\pi\)
\(720\) −2.86336 2.71232i −0.106711 0.101082i
\(721\) −8.88676 + 13.1070i −0.330960 + 0.488130i
\(722\) −9.69723 2.13452i −0.360894 0.0794387i
\(723\) 0.0370528 + 0.133452i 0.00137801 + 0.00496314i
\(724\) 18.1954 + 10.9478i 0.676225 + 0.406871i
\(725\) 15.2026 17.8979i 0.564611 0.664711i
\(726\) 8.97355 + 3.02354i 0.333040 + 0.112214i
\(727\) 35.8838 + 16.6016i 1.33086 + 0.615719i 0.950961 0.309311i \(-0.100098\pi\)
0.379894 + 0.925030i \(0.375960\pi\)
\(728\) −3.85152 7.26474i −0.142747 0.269249i
\(729\) 0.976621 0.214970i 0.0361711 0.00796187i
\(730\) 15.2506 38.2761i 0.564450 1.41666i
\(731\) −2.85298 + 0.961282i −0.105521 + 0.0355543i
\(732\) −1.05449 0.114682i −0.0389749 0.00423878i
\(733\) −1.53638 + 28.3368i −0.0567474 + 1.04664i 0.822040 + 0.569430i \(0.192836\pi\)
−0.878787 + 0.477214i \(0.841647\pi\)
\(734\) −1.23698 22.8147i −0.0456577 0.842107i
\(735\) 38.0947 4.14305i 1.40515 0.152819i
\(736\) 8.25128 3.81745i 0.304146 0.140713i
\(737\) 51.6441 + 39.2588i 1.90233 + 1.44612i
\(738\) −4.54177 3.45257i −0.167185 0.127091i
\(739\) −21.6373 + 10.0105i −0.795939 + 0.368241i −0.775338 0.631547i \(-0.782420\pi\)
−0.0206018 + 0.999788i \(0.506558\pi\)
\(740\) −5.82764 + 0.633794i −0.214228 + 0.0232987i
\(741\) −0.327924 6.04820i −0.0120466 0.222186i
\(742\) 2.40978 44.4458i 0.0884659 1.63166i
\(743\) −20.1811 2.19483i −0.740374 0.0805205i −0.269843 0.962904i \(-0.586972\pi\)
−0.470531 + 0.882384i \(0.655937\pi\)
\(744\) −3.19448 + 1.07635i −0.117115 + 0.0394608i
\(745\) 28.3521 71.1584i 1.03874 2.60704i
\(746\) −1.50261 + 0.330749i −0.0550144 + 0.0121096i
\(747\) 7.17751 + 13.5382i 0.262611 + 0.495337i
\(748\) 14.0224 + 6.48744i 0.512708 + 0.237204i
\(749\) −8.00397 2.69685i −0.292459 0.0985409i
\(750\) −14.1851 + 16.7000i −0.517968 + 0.609799i
\(751\) −14.2530 8.57575i −0.520099 0.312933i 0.231187 0.972909i \(-0.425739\pi\)
−0.751287 + 0.659976i \(0.770567\pi\)
\(752\) −1.94381 7.00097i −0.0708835 0.255299i
\(753\) −14.1973 3.12507i −0.517379 0.113884i
\(754\) −2.51088 + 3.70327i −0.0914409 + 0.134865i
\(755\) −43.1488 40.8727i −1.57034 1.48751i
\(756\) −3.50325 + 2.10784i −0.127412 + 0.0766612i
\(757\) −4.28438 + 26.1335i −0.155718 + 0.949840i 0.787171 + 0.616734i \(0.211545\pi\)
−0.942890 + 0.333105i \(0.891904\pi\)
\(758\) −4.64108 6.84508i −0.168572 0.248624i