Properties

Label 354.2.e.c.25.1
Level 354
Weight 2
Character 354.25
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 25.1
Character \(\chi\) = 354.25
Dual form 354.2.e.c.85.1

$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{6}{29}\right)\) \(1\)

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 −0.964453 0.264256i \(-0.914874\pi\)
−0.316083 0.948732i \(-0.602368\pi\)
\(6\) 0.161782 0.986827i 0.0660472 0.402870i
\(7\) −2.64683 + 3.11609i −1.00041 + 1.17777i −0.0163604 + 0.999866i \(0.505208\pi\)
−0.984048 + 0.177905i \(0.943068\pi\)
\(8\) −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 −0.207409 0.978254i \(-0.566503\pi\)
−0.961452 + 0.274974i \(0.911331\pi\)
\(12\) 0.725995 0.687699i 0.209577 0.198522i
\(13\) −1.12863 1.66461i −0.313027 0.461680i 0.638334 0.769760i \(-0.279624\pi\)
−0.951360 + 0.308080i \(0.900314\pi\)
\(14\) −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 0.961834 0.273632i \(-0.0882250\pi\)
−0.425635 + 0.904895i \(0.639949\pi\)
\(18\) −0.947653 + 0.319302i −0.223364 + 0.0752601i
\(19\) 2.73339 1.26460i 0.627082 0.290119i −0.0804951 0.996755i \(-0.525650\pi\)
0.707577 + 0.706636i \(0.249788\pi\)
\(20\) 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 −1.00000 0.000651690i \(-0.999793\pi\)
−0.796487 0.604655i \(-0.793311\pi\)
\(24\) 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 −0.427683 0.903929i \(-0.640670\pi\)
0.756563 + 0.653920i \(0.226877\pi\)
\(30\) −3.13983 + 2.38684i −0.573252 + 0.435775i
\(31\) −3.05938 1.41542i −0.549482 0.254217i 0.125447 0.992100i \(-0.459964\pi\)
−0.674929 + 0.737883i \(0.735826\pi\)
\(32\) −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 0.876797 0.480861i \(-0.159676\pi\)
−0.967238 + 0.253870i \(0.918296\pi\)
\(38\) 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 0.136306 0.990667i \(-0.456477\pi\)
0.708038 + 0.706174i \(0.249581\pi\)
\(42\) 2.64683 + 3.11609i 0.408415 + 0.480823i
\(43\) −0.755389 + 0.454503i −0.115196 + 0.0693110i −0.571986 0.820264i \(-0.693827\pi\)
0.456790 + 0.889575i \(0.348999\pi\)
\(44\) 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 −0.198489 0.980103i \(-0.563604\pi\)
0.967920 + 0.251260i \(0.0808449\pi\)
\(48\) 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 −0.534302 0.845294i \(-0.679426\pi\)
0.776237 0.630442i \(-0.217126\pi\)
\(54\) 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 0.549719 0.835350i \(-0.314735\pi\)
−0.657836 + 0.753161i \(0.728528\pi\)
\(62\) −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 0.124088 + 0.992271i \(0.460399\pi\)
−0.772472 + 0.635049i \(0.780980\pi\)
\(68\) −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 −0.379308 + 0.925270i \(0.623838\pi\)
−0.944449 + 0.328659i \(0.893403\pi\)
\(72\) −0.561187 0.827689i −0.0661365 0.0975441i
\(73\) −10.2025 + 2.24574i −1.19411 + 0.262844i −0.767174 0.641439i \(-0.778338\pi\)
−0.426936 + 0.904282i \(0.640407\pi\)
\(74\) 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 −0.550898 0.834572i \(-0.685715\pi\)
0.999923 0.0123786i \(-0.00394032\pi\)
\(80\) 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 −0.894540 0.446987i \(-0.852497\pi\)
−0.777538 + 0.628837i \(0.783531\pi\)
\(84\) 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 −0.516651 0.856196i \(-0.672822\pi\)
0.686769 + 0.726876i \(0.259029\pi\)
\(90\) 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 −0.0506735 0.998715i \(-0.516137\pi\)
−0.465340 + 0.885132i \(0.654068\pi\)
\(98\) 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 0.887274 0.461242i \(-0.152596\pi\)
−0.598711 + 0.800965i \(0.704320\pi\)
\(102\) 2.92615 1.76060i 0.289732 0.174326i
\(103\) −1.03620 + 3.73205i −0.102100 + 0.367730i −0.996895 0.0787477i \(-0.974908\pi\)
0.894795 + 0.446477i \(0.147322\pi\)
\(104\) 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 0.598539 0.801094i \(-0.295748\pi\)
−0.427415 + 0.904055i \(0.640576\pi\)
\(108\) 0.161782 + 0.986827i 0.0155675 + 0.0949574i
\(109\) 1.15151 1.69835i 0.110295 0.162672i −0.768536 0.639807i \(-0.779014\pi\)
0.878830 + 0.477135i \(0.158325\pi\)
\(110\) −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 0.569838 0.821757i \(-0.307006\pi\)
−0.789701 + 0.613492i \(0.789764\pi\)
\(114\) −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 −0.579950 0.814652i \(-0.696928\pi\)
0.971454 + 0.237226i \(0.0762383\pi\)
\(128\) −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 −0.884321 0.466879i \(-0.845378\pi\)
−0.106399 0.994323i \(-0.533932\pi\)
\(132\) −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 −0.420901 0.907106i \(-0.638286\pi\)
0.418876 + 0.908043i \(0.362424\pi\)
\(138\) −4.25857 + 8.03251i −0.362513 + 0.683772i
\(139\) 10.8583 + 2.39008i 0.920986 + 0.202724i 0.650066 0.759878i \(-0.274741\pi\)
0.270920 + 0.962602i \(0.412672\pi\)
\(140\) 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 −0.467583 0.883949i \(-0.654875\pi\)
−0.976419 + 0.215882i \(0.930737\pi\)
\(150\) 10.4937 + 1.14126i 0.856805 + 0.0931832i
\(151\) 0.815833 15.0471i 0.0663915 1.22452i −0.755605 0.655027i \(-0.772657\pi\)
0.821997 0.569492i \(-0.192860\pi\)
\(152\) 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 −0.981236 0.192810i \(-0.938240\pi\)
0.710244 + 0.703956i \(0.248585\pi\)
\(158\) 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 −0.333891 0.942612i \(-0.608362\pi\)
0.0927609 + 0.995688i \(0.470431\pi\)
\(164\) 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 0.630597 + 0.776111i \(0.282810\pi\)
−0.349774 + 0.936834i \(0.613741\pi\)
\(168\) −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 −0.992717 0.120471i \(-0.961560\pi\)
0.788507 0.615025i \(-0.210854\pi\)
\(174\) −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 0.433807 0.901006i \(-0.357170\pi\)
−0.752109 + 0.659039i \(0.770963\pi\)
\(180\) 1.84743 + 3.48462i 0.137699 + 0.259728i
\(181\) −5.68096 20.4610i −0.422262 1.52085i −0.802892 0.596124i \(-0.796706\pi\)
0.380630 0.924728i \(-0.375707\pi\)
\(182\) 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 −0.640147 0.768252i \(-0.721127\pi\)
−0.258401 + 0.966038i \(0.583196\pi\)
\(192\) −0.267528 + 0.963550i −0.0193072 + 0.0695382i
\(193\) 6.05205 3.64140i 0.435636 0.262114i −0.280800 0.959766i \(-0.590600\pi\)
0.716436 + 0.697653i \(0.245772\pi\)
\(194\) −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 0.382401 + 0.923997i \(0.375097\pi\)
−0.979380 + 0.202026i \(0.935247\pi\)
\(198\) 4.41852 + 0.972590i 0.314010 + 0.0691189i
\(199\) 6.11769 + 15.3542i 0.433671 + 1.08843i 0.969714 + 0.244242i \(0.0785392\pi\)
−0.536043 + 0.844191i \(0.680081\pi\)
\(200\) −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 −0.839587 0.543225i \(-0.817203\pi\)
0.775933 0.630816i \(-0.217280\pi\)
\(212\) 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 0.777510 0.628871i \(-0.216482\pi\)
−0.871992 + 0.489520i \(0.837172\pi\)
\(224\) 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 −0.612039 0.790828i \(-0.709650\pi\)
0.961199 + 0.275854i \(0.0889608\pi\)
\(228\) 1.11476 2.79784i 0.0738270 0.185292i
\(229\) −2.56894 + 3.02439i −0.169760 + 0.199857i −0.840463 0.541869i \(-0.817717\pi\)
0.670703 + 0.741726i \(0.265993\pi\)
\(230\) −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 0.787705 + 0.616053i \(0.211269\pi\)
0.0678503 + 0.997696i \(0.478386\pi\)
\(234\) 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 0.884985 0.465620i \(-0.154169\pi\)
−0.882031 + 0.471192i \(0.843824\pi\)
\(240\) −1.05515 3.80029i −0.0681094 0.245308i
\(241\) 0.100551 + 0.0952467i 0.00647704 + 0.00613538i 0.690931 0.722921i \(-0.257201\pi\)
−0.684454 + 0.729056i \(0.739959\pi\)
\(242\) −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 −0.733418 0.679778i \(-0.762076\pi\)
0.978897 0.204356i \(-0.0655100\pi\)
\(252\) 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 0.608307 0.793702i \(-0.291849\pi\)
0.218818 + 0.975766i \(0.429780\pi\)
\(258\) 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 −0.366331 0.930485i \(-0.619386\pi\)
−0.557793 + 0.829980i \(0.688352\pi\)
\(264\) −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 0.582012 + 0.813180i \(0.302266\pi\)
−0.666521 + 0.745487i \(0.732217\pi\)
\(270\) −0.213527 3.93827i −0.0129948 0.239675i
\(271\) 18.7300 2.03701i 1.13777 0.123740i 0.480217 0.877150i \(-0.340558\pi\)
0.657551 + 0.753410i \(0.271592\pi\)
\(272\) −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 0.129911 0.991526i \(-0.458531\pi\)
0.703467 + 0.710728i \(0.251634\pi\)
\(278\) 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 0.0686259 0.997642i \(-0.478139\pi\)
0.481182 + 0.876621i \(0.340207\pi\)
\(282\) −4.07748 6.01383i −0.242810 0.358119i
\(283\) −6.24361 + 5.91426i −0.371144 + 0.351566i −0.850426 0.526095i \(-0.823656\pi\)
0.479282 + 0.877661i \(0.340897\pi\)
\(284\) −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 0.261469 0.965212i \(-0.415793\pi\)
−0.860080 + 0.510160i \(0.829586\pi\)
\(294\) −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 −0.999562 0.0295902i \(-0.990580\pi\)
−0.0245684 + 0.999698i \(0.507821\pi\)
\(308\) 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 −0.146608 0.989195i \(-0.546836\pi\)
0.805293 + 0.592877i \(0.202008\pi\)
\(312\) −1.30199 1.53282i −0.0737108 0.0867791i
\(313\) 15.7088 5.29292i 0.887916 0.299174i 0.161864 0.986813i \(-0.448250\pi\)
0.726052 + 0.687639i \(0.241353\pi\)
\(314\) −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 −0.551823 0.833961i \(-0.686068\pi\)
−0.172894 0.984941i \(-0.555312\pi\)
\(318\) −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 0.547356 0.836900i \(-0.315635\pi\)
−0.0707244 + 0.997496i \(0.522531\pi\)
\(332\) −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 0.527567 0.849513i \(-0.323104\pi\)
−0.923673 + 0.383181i \(0.874829\pi\)
\(338\) 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 −0.885768 0.464129i \(-0.846368\pi\)
0.601316 + 0.799012i \(0.294643\pi\)
\(348\) 0.359918 2.19540i 0.0192936 0.117686i
\(349\) 21.9921 + 20.8320i 1.17721 + 1.11511i 0.991174 + 0.132568i \(0.0423222\pi\)
0.186034 + 0.982543i \(0.440436\pi\)
\(350\) −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 0.200474 0.979699i \(-0.435752\pi\)
−0.967409 + 0.253220i \(0.918510\pi\)
\(360\) −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 0.999071 + 0.0430941i \(0.0137215\pi\)
−0.329761 + 0.944064i \(0.606968\pi\)
\(368\) 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 −0.455707 0.890130i \(-0.650613\pi\)
0.383405 + 0.923580i \(0.374751\pi\)
\(374\) 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 0.987248 + 0.159188i \(0.0508877\pi\)
−0.964250 + 0.264996i \(0.914629\pi\)
\(380\) 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 −0.472726 0.881210i \(-0.656730\pi\)
0.722622 + 0.691243i \(0.242937\pi\)
\(384\) −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 −0.261391 0.965233i \(-0.584181\pi\)
−0.0477834 + 0.998858i \(0.515216\pi\)
\(390\) 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 0.0843784 0.996434i \(-0.473110\pi\)
0.919885 + 0.392189i \(0.128282\pi\)
\(398\) −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 −0.833915 0.551894i \(-0.813905\pi\)
0.505937 + 0.862570i \(0.331147\pi\)
\(402\) 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 0.961756 0.273909i \(-0.0883167\pi\)
−0.965302 + 0.261136i \(0.915903\pi\)
\(410\) −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 −0.935651 0.352928i \(-0.885186\pi\)
0.999363 0.0356986i \(-0.0113656\pi\)
\(420\) 10.4392 12.2900i 0.509383 0.599692i
\(421\) −0.112735 + 0.282943i −0.00549437 + 0.0137898i −0.931698 0.363233i \(-0.881673\pi\)
0.926204 + 0.377023i \(0.123052\pi\)
\(422\) 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 −0.854605 0.519279i \(-0.826201\pi\)
−0.366091 + 0.930579i \(0.619304\pi\)
\(432\) −0.907575 + 0.419889i −0.0436657 + 0.0202019i
\(433\) 1.72626 3.25608i 0.0829589 0.156477i −0.838562 0.544807i \(-0.816603\pi\)
0.921521 + 0.388330i \(0.126948\pi\)
\(434\) 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 −0.557260 0.830338i \(-0.688147\pi\)
0.643769 0.765220i \(-0.277370\pi\)
\(440\) −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 −0.805527 0.592560i \(-0.798117\pi\)
0.355460 + 0.934692i \(0.384324\pi\)
\(444\) −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 −0.426635 0.904424i \(-0.640301\pi\)
−0.886975 + 0.461817i \(0.847198\pi\)
\(450\) −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 0.851230 + 0.524792i \(0.175857\pi\)
−0.999941 + 0.0108168i \(0.996557\pi\)
\(458\) −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 0.617601 0.786492i \(-0.288105\pi\)
−0.405586 + 0.914057i \(0.632932\pi\)
\(462\) −2.99257 18.2538i −0.139227 0.849246i
\(463\) 1.62740 2.40024i 0.0756318 0.111549i −0.787992 0.615686i \(-0.788879\pi\)
0.863624 + 0.504137i \(0.168189\pi\)
\(464\) −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 0.947299 0.320350i \(-0.103800\pi\)
−0.268594 + 0.963253i \(0.586559\pi\)
\(468\) 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 −0.720644 0.693306i \(-0.756154\pi\)
0.800760 + 0.598986i \(0.204429\pi\)
\(480\) 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 0.357302 + 0.933989i \(0.383697\pi\)
−0.787678 + 0.616087i \(0.788717\pi\)
\(488\) 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 0.643678 0.765297i \(-0.277408\pi\)
0.999988 + 0.00485570i \(0.00154562\pi\)
\(492\) 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 0.0611146 0.998131i \(-0.480534\pi\)
−0.154883 + 0.987933i \(0.549500\pi\)
\(500\) 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 0.671030 0.741431i \(-0.265852\pi\)
−0.130675 + 0.991425i \(0.541714\pi\)
\(504\) 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 −0.996765 0.0803766i \(-0.974388\pi\)
0.668372 0.743828i \(-0.266992\pi\)
\(510\) −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 −0.991546 0.129752i \(-0.958582\pi\)
0.898212 0.439562i \(-0.144866\pi\)
\(522\) −1.24848 + 1.84137i −0.0546444 + 0.0805945i
\(523\) 11.7730 29.5479i 0.514796 1.29204i −0.410177 0.912006i \(-0.634533\pi\)
0.924973 0.380034i \(-0.124088\pi\)
\(524\) 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 −0.999892 0.0146763i \(-0.995328\pi\)
0.942865 0.333175i \(-0.108120\pi\)
\(542\) 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 −0.975094 0.221792i \(-0.928809\pi\)
−0.260787 + 0.965396i \(0.583982\pi\)
\(548\) −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 0.762821 + 0.646609i \(0.223814\pi\)
−0.828260 + 0.560343i \(0.810669\pi\)
\(558\) 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 0.205500 0.978657i \(-0.434118\pi\)
−0.00968728 + 0.999953i \(0.503084\pi\)
\(564\) 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 0.179737 0.983715i \(-0.442475\pi\)
−0.249927 + 0.968265i \(0.580406\pi\)
\(570\) −5.56399 + 10.4948i −0.233050 + 0.439578i
\(571\) 10.7534 4.97504i 0.450015 0.208199i −0.181773 0.983341i \(-0.558184\pi\)
0.631788 + 0.775142i \(0.282322\pi\)
\(572\) −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 −0.999898 0.0143012i \(-0.995448\pi\)
0.356815 0.934175i \(-0.383863\pi\)
\(578\) 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 −0.960391 0.278657i \(-0.910111\pi\)
0.308317 0.951284i \(-0.400234\pi\)
\(588\) −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 0.921766 0.387747i \(-0.126746\pi\)
−0.838217 + 0.545337i \(0.816402\pi\)
\(594\) −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 −0.957112 0.289718i \(-0.906439\pi\)
0.623405 + 0.781899i \(0.285749\pi\)
\(600\) 1.70770 + 10.4165i 0.0697165 + 0.425252i
\(601\) 1.22535 + 0.737267i 0.0499830 + 0.0300738i 0.540326 0.841456i \(-0.318301\pi\)
−0.490343 + 0.871530i \(0.663129\pi\)
\(602\) 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 0.463696 0.885995i \(-0.346523\pi\)
−0.949340 + 0.314249i \(0.898247\pi\)
\(608\) −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 0.254685 0.967024i \(-0.418028\pi\)
−0.382465 + 0.923970i \(0.624925\pi\)
\(614\) −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 −0.778319 0.627868i \(-0.783928\pi\)
−0.895096 + 0.445874i \(0.852893\pi\)
\(618\) 3.51525 + 1.62633i 0.141404 + 0.0654204i
\(619\) 34.2833 26.0615i 1.37796 1.04750i 0.385794 0.922585i \(-0.373928\pi\)
0.992168 0.124914i \(-0.0398655\pi\)
\(620\) −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 −0.357377 0.933960i \(-0.616329\pi\)
0.280703 + 0.959795i \(0.409432\pi\)
\(632\) 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 0.576185 + 0.817319i \(0.304541\pi\)
−0.980378 + 0.197128i \(0.936839\pi\)
\(642\) 1.33739 1.57449i 0.0527825 0.0621403i
\(643\) 5.52672 33.7115i 0.217953 1.32945i −0.620383 0.784299i \(-0.713023\pi\)
0.838336 0.545154i \(-0.183529\pi\)
\(644\) 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 0.00400412 0.999992i \(-0.498725\pi\)
−0.962471 + 0.271384i \(0.912519\pi\)
\(648\) 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 0.606615 + 0.794996i \(0.292527\pi\)
−0.109920 + 0.993940i \(0.535059\pi\)
\(654\) −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 −0.794322 0.607497i \(-0.792174\pi\)
0.558767 0.829325i \(-0.311275\pi\)
\(660\) 15.2898 + 9.19957i 0.595155 + 0.358093i
\(661\) −24.0518 + 22.7831i −0.935509 + 0.886161i −0.993692 0.112145i \(-0.964228\pi\)
0.0581833 + 0.998306i \(0.481469\pi\)
\(662\) 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 0.0572007 0.998363i \(-0.481782\pi\)
0.270482 + 0.962725i \(0.412817\pi\)
\(674\) −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 0.546170 0.837675i \(-0.316085\pi\)
−0.284861 + 0.958569i \(0.591947\pi\)
\(678\) −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 0.951978 + 0.306166i \(0.0990463\pi\)
−0.913295 + 0.407298i \(0.866471\pi\)
\(684\) −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 0.914789 0.403932i \(-0.132357\pi\)
−0.546607 + 0.837389i \(0.684081\pi\)
\(692\) 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 −0.652659 0.757652i \(-0.726346\pi\)
0.853260 + 0.521486i \(0.174622\pi\)
\(702\) 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 0.699787 0.714352i \(-0.253278\pi\)
−0.303352 + 0.952878i \(0.598106\pi\)
\(720\) −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 0.379894 0.925030i \(-0.375960\pi\)
0.950961 + 0.309311i \(0.100098\pi\)
\(728\) −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 −0.878787 0.477214i \(-0.841647\pi\)
0.822040 0.569430i \(-0.192836\pi\)
\(734\) −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 −0.0206018 0.999788i \(-0.506558\pi\)
−0.775338 + 0.631547i \(0.782420\pi\)
\(740\) −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 −0.470531 0.882384i \(-0.655937\pi\)
−0.269843 + 0.962904i \(0.586972\pi\)
\(744\) −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 −0.751287 0.659976i \(-0.770567\pi\)
0.231187 + 0.972909i \(0.425739\pi\)
\(752\) −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 −0.942890 0.333105i \(-0.891904\pi\)
0.787171 0.616734i \(-0.211545\pi\)
\(758\) −4.64108 + 6.84508i −0.168572 + 0.248624i