Properties

Label 475.2.v.b.113.23
Level $475$
Weight $2$
Character 475.113
Analytic conductor $3.793$
Analytic rank $0$
Dimension $368$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.v (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(368\)
Relative dimension: \(46\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 113.23
Character \(\chi\) \(=\) 475.113
Dual form 475.2.v.b.227.23

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0403442 - 0.254723i) q^{2} +(1.86848 + 0.952039i) q^{3} +(1.83886 - 0.597481i) q^{4} +(-1.59545 + 1.56670i) q^{5} +(0.167124 - 0.514355i) q^{6} +(-0.170667 + 0.170667i) q^{7} +(-0.460546 - 0.903872i) q^{8} +(0.821490 + 1.13068i) q^{9} +O(q^{10})\) \(q+(-0.0403442 - 0.254723i) q^{2} +(1.86848 + 0.952039i) q^{3} +(1.83886 - 0.597481i) q^{4} +(-1.59545 + 1.56670i) q^{5} +(0.167124 - 0.514355i) q^{6} +(-0.170667 + 0.170667i) q^{7} +(-0.460546 - 0.903872i) q^{8} +(0.821490 + 1.13068i) q^{9} +(0.463441 + 0.343190i) q^{10} +(2.38128 + 1.73010i) q^{11} +(4.00470 + 0.634281i) q^{12} +(0.220642 - 1.39308i) q^{13} +(0.0503583 + 0.0365875i) q^{14} +(-4.47262 + 1.40842i) q^{15} +(2.91679 - 2.11917i) q^{16} +(1.11117 + 2.18080i) q^{17} +(0.254869 - 0.254869i) q^{18} +(4.12257 + 1.41576i) q^{19} +(-1.99773 + 3.83418i) q^{20} +(-0.481371 + 0.156407i) q^{21} +(0.344627 - 0.676368i) q^{22} +(0.469575 + 2.96478i) q^{23} -2.12733i q^{24} +(0.0909103 - 4.99917i) q^{25} -0.363751 q^{26} +(-0.525667 - 3.31893i) q^{27} +(-0.211862 + 0.415803i) q^{28} +(2.44731 + 7.53203i) q^{29} +(0.539201 + 1.08246i) q^{30} +(-6.65683 - 2.16294i) q^{31} +(-2.09211 - 2.09211i) q^{32} +(2.80226 + 5.49974i) q^{33} +(0.510670 - 0.371024i) q^{34} +(0.00490661 - 0.539675i) q^{35} +(2.18616 + 1.58834i) q^{36} +(-10.7831 - 1.70787i) q^{37} +(0.194305 - 1.10723i) q^{38} +(1.73853 - 2.39288i) q^{39} +(2.15087 + 0.720545i) q^{40} +(-5.75559 - 7.92188i) q^{41} +(0.0592609 + 0.116306i) q^{42} +(-4.80592 - 4.80592i) q^{43} +(5.41255 + 1.75864i) q^{44} +(-3.08209 - 0.516920i) q^{45} +(0.736253 - 0.239223i) q^{46} +(-0.347574 - 0.177098i) q^{47} +(7.46751 - 1.18274i) q^{48} +6.94175i q^{49} +(-1.27707 + 0.178531i) q^{50} +5.13266i q^{51} +(-0.426609 - 2.69350i) q^{52} +(-2.66290 - 1.35682i) q^{53} +(-0.824201 + 0.267799i) q^{54} +(-6.50977 + 0.970463i) q^{55} +(0.232862 + 0.0756613i) q^{56} +(6.35510 + 6.57017i) q^{57} +(1.81985 - 0.927259i) q^{58} +(8.85758 - 6.43541i) q^{59} +(-7.38301 + 5.26219i) q^{60} +(-1.61373 - 1.17244i) q^{61} +(-0.282385 + 1.78291i) q^{62} +(-0.333172 - 0.0527693i) q^{63} +(3.78984 - 5.21627i) q^{64} +(1.83051 + 2.56826i) q^{65} +(1.28786 - 0.935683i) q^{66} +(9.29981 - 4.73849i) q^{67} +(3.34627 + 3.34627i) q^{68} +(-1.94519 + 5.98669i) q^{69} +(-0.137666 + 0.0205229i) q^{70} +(4.61515 - 1.49955i) q^{71} +(0.643660 - 1.26325i) q^{72} +(-2.44112 - 15.4126i) q^{73} +2.81561i q^{74} +(4.92927 - 9.25431i) q^{75} +(8.42671 + 0.140222i) q^{76} +(-0.701680 + 0.111135i) q^{77} +(-0.679662 - 0.346305i) q^{78} +(2.25189 + 6.93060i) q^{79} +(-1.33349 + 7.95077i) q^{80} +(3.47320 - 10.6894i) q^{81} +(-1.78568 + 1.78568i) q^{82} +(-8.96025 + 4.56548i) q^{83} +(-0.791722 + 0.575220i) q^{84} +(-5.18947 - 1.73848i) q^{85} +(-1.03029 + 1.41807i) q^{86} +(-2.59804 + 16.4034i) q^{87} +(0.467103 - 2.94917i) q^{88} +(-8.37829 - 6.08719i) q^{89} +(-0.00732736 + 0.805933i) q^{90} +(0.200097 + 0.275409i) q^{91} +(2.63488 + 5.17124i) q^{92} +(-10.3790 - 10.3790i) q^{93} +(-0.0310883 + 0.0956801i) q^{94} +(-8.79543 + 4.20006i) q^{95} +(-1.91730 - 5.90085i) q^{96} +(-4.44514 + 8.72408i) q^{97} +(1.76822 - 0.280059i) q^{98} +4.11374i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 368 q - 20 q^{4} - 16 q^{5} - 12 q^{6} - 8 q^{7} - 20 q^{9} + O(q^{10}) \) \( 368 q - 20 q^{4} - 16 q^{5} - 12 q^{6} - 8 q^{7} - 20 q^{9} - 12 q^{11} + 56 q^{16} + 20 q^{17} + 10 q^{19} - 52 q^{20} + 32 q^{23} - 16 q^{25} - 32 q^{26} - 40 q^{28} - 60 q^{30} - 84 q^{35} - 96 q^{36} + 16 q^{38} - 100 q^{39} - 20 q^{42} + 56 q^{43} - 160 q^{44} + 100 q^{45} - 56 q^{47} - 20 q^{54} + 20 q^{55} + 70 q^{57} - 72 q^{58} - 12 q^{61} + 72 q^{62} - 160 q^{63} + 40 q^{64} + 36 q^{66} + 176 q^{68} - 48 q^{73} - 32 q^{76} - 156 q^{77} + 288 q^{80} + 16 q^{81} - 108 q^{82} + 136 q^{83} - 88 q^{85} + 152 q^{87} - 200 q^{92} - 164 q^{93} + 46 q^{95} + 44 q^{96} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{19}{20}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0403442 0.254723i −0.0285276 0.180116i 0.969310 0.245841i \(-0.0790641\pi\)
−0.997838 + 0.0657246i \(0.979064\pi\)
\(3\) 1.86848 + 0.952039i 1.07877 + 0.549660i 0.900737 0.434365i \(-0.143027\pi\)
0.178031 + 0.984025i \(0.443027\pi\)
\(4\) 1.83886 0.597481i 0.919428 0.298740i
\(5\) −1.59545 + 1.56670i −0.713506 + 0.700649i
\(6\) 0.167124 0.514355i 0.0682281 0.209984i
\(7\) −0.170667 + 0.170667i −0.0645062 + 0.0645062i −0.738624 0.674118i \(-0.764524\pi\)
0.674118 + 0.738624i \(0.264524\pi\)
\(8\) −0.460546 0.903872i −0.162828 0.319567i
\(9\) 0.821490 + 1.13068i 0.273830 + 0.376895i
\(10\) 0.463441 + 0.343190i 0.146553 + 0.108526i
\(11\) 2.38128 + 1.73010i 0.717984 + 0.521646i 0.885740 0.464183i \(-0.153652\pi\)
−0.167755 + 0.985829i \(0.553652\pi\)
\(12\) 4.00470 + 0.634281i 1.15606 + 0.183101i
\(13\) 0.220642 1.39308i 0.0611951 0.386371i −0.938014 0.346598i \(-0.887337\pi\)
0.999209 0.0397723i \(-0.0126633\pi\)
\(14\) 0.0503583 + 0.0365875i 0.0134588 + 0.00977841i
\(15\) −4.47262 + 1.40842i −1.15483 + 0.363652i
\(16\) 2.91679 2.11917i 0.729198 0.529794i
\(17\) 1.11117 + 2.18080i 0.269499 + 0.528921i 0.985604 0.169071i \(-0.0540769\pi\)
−0.716105 + 0.697993i \(0.754077\pi\)
\(18\) 0.254869 0.254869i 0.0600732 0.0600732i
\(19\) 4.12257 + 1.41576i 0.945783 + 0.324798i
\(20\) −1.99773 + 3.83418i −0.446706 + 0.857350i
\(21\) −0.481371 + 0.156407i −0.105044 + 0.0341308i
\(22\) 0.344627 0.676368i 0.0734746 0.144202i
\(23\) 0.469575 + 2.96478i 0.0979131 + 0.618199i 0.987032 + 0.160523i \(0.0513181\pi\)
−0.889119 + 0.457676i \(0.848682\pi\)
\(24\) 2.12733i 0.434239i
\(25\) 0.0909103 4.99917i 0.0181821 0.999835i
\(26\) −0.363751 −0.0713374
\(27\) −0.525667 3.31893i −0.101165 0.638729i
\(28\) −0.211862 + 0.415803i −0.0400382 + 0.0785794i
\(29\) 2.44731 + 7.53203i 0.454453 + 1.39866i 0.871776 + 0.489905i \(0.162968\pi\)
−0.417323 + 0.908758i \(0.637032\pi\)
\(30\) 0.539201 + 1.08246i 0.0984442 + 0.197629i
\(31\) −6.65683 2.16294i −1.19560 0.388475i −0.357461 0.933928i \(-0.616358\pi\)
−0.838141 + 0.545453i \(0.816358\pi\)
\(32\) −2.09211 2.09211i −0.369837 0.369837i
\(33\) 2.80226 + 5.49974i 0.487811 + 0.957383i
\(34\) 0.510670 0.371024i 0.0875792 0.0636300i
\(35\) 0.00490661 0.539675i 0.000829368 0.0912218i
\(36\) 2.18616 + 1.58834i 0.364361 + 0.264724i
\(37\) −10.7831 1.70787i −1.77273 0.280773i −0.817348 0.576145i \(-0.804556\pi\)
−0.955382 + 0.295372i \(0.904556\pi\)
\(38\) 0.194305 1.10723i 0.0315204 0.179617i
\(39\) 1.73853 2.39288i 0.278388 0.383168i
\(40\) 2.15087 + 0.720545i 0.340083 + 0.113928i
\(41\) −5.75559 7.92188i −0.898871 1.23719i −0.970827 0.239783i \(-0.922924\pi\)
0.0719552 0.997408i \(-0.477076\pi\)
\(42\) 0.0592609 + 0.116306i 0.00914416 + 0.0179464i
\(43\) −4.80592 4.80592i −0.732895 0.732895i 0.238297 0.971192i \(-0.423411\pi\)
−0.971192 + 0.238297i \(0.923411\pi\)
\(44\) 5.41255 + 1.75864i 0.815972 + 0.265125i
\(45\) −3.08209 0.516920i −0.459450 0.0770579i
\(46\) 0.736253 0.239223i 0.108555 0.0352715i
\(47\) −0.347574 0.177098i −0.0506989 0.0258324i 0.428457 0.903562i \(-0.359057\pi\)
−0.479156 + 0.877730i \(0.659057\pi\)
\(48\) 7.46751 1.18274i 1.07784 0.170713i
\(49\) 6.94175i 0.991678i
\(50\) −1.27707 + 0.178531i −0.180605 + 0.0252480i
\(51\) 5.13266i 0.718716i
\(52\) −0.426609 2.69350i −0.0591600 0.373522i
\(53\) −2.66290 1.35682i −0.365778 0.186373i 0.261435 0.965221i \(-0.415804\pi\)
−0.627213 + 0.778848i \(0.715804\pi\)
\(54\) −0.824201 + 0.267799i −0.112160 + 0.0364428i
\(55\) −6.50977 + 0.970463i −0.877777 + 0.130857i
\(56\) 0.232862 + 0.0756613i 0.0311174 + 0.0101107i
\(57\) 6.35510 + 6.57017i 0.841753 + 0.870241i
\(58\) 1.81985 0.927259i 0.238958 0.121755i
\(59\) 8.85758 6.43541i 1.15316 0.837819i 0.164261 0.986417i \(-0.447476\pi\)
0.988898 + 0.148598i \(0.0474761\pi\)
\(60\) −7.38301 + 5.26219i −0.953143 + 0.679346i
\(61\) −1.61373 1.17244i −0.206617 0.150116i 0.479665 0.877452i \(-0.340758\pi\)
−0.686282 + 0.727336i \(0.740758\pi\)
\(62\) −0.282385 + 1.78291i −0.0358630 + 0.226430i
\(63\) −0.333172 0.0527693i −0.0419758 0.00664831i
\(64\) 3.78984 5.21627i 0.473731 0.652034i
\(65\) 1.83051 + 2.56826i 0.227047 + 0.318554i
\(66\) 1.28786 0.935683i 0.158524 0.115175i
\(67\) 9.29981 4.73849i 1.13615 0.578899i 0.218325 0.975876i \(-0.429941\pi\)
0.917828 + 0.396977i \(0.129941\pi\)
\(68\) 3.34627 + 3.34627i 0.405795 + 0.405795i
\(69\) −1.94519 + 5.98669i −0.234174 + 0.720712i
\(70\) −0.137666 + 0.0205229i −0.0164542 + 0.00245296i
\(71\) 4.61515 1.49955i 0.547718 0.177964i −0.0220696 0.999756i \(-0.507026\pi\)
0.569787 + 0.821792i \(0.307026\pi\)
\(72\) 0.643660 1.26325i 0.0758560 0.148876i
\(73\) −2.44112 15.4126i −0.285712 1.80391i −0.545353 0.838206i \(-0.683604\pi\)
0.259641 0.965705i \(-0.416396\pi\)
\(74\) 2.81561i 0.327308i
\(75\) 4.92927 9.25431i 0.569183 1.06860i
\(76\) 8.42671 + 0.140222i 0.966610 + 0.0160846i
\(77\) −0.701680 + 0.111135i −0.0799638 + 0.0126650i
\(78\) −0.679662 0.346305i −0.0769566 0.0392113i
\(79\) 2.25189 + 6.93060i 0.253357 + 0.779754i 0.994149 + 0.108019i \(0.0344507\pi\)
−0.740791 + 0.671735i \(0.765549\pi\)
\(80\) −1.33349 + 7.95077i −0.149088 + 0.888923i
\(81\) 3.47320 10.6894i 0.385911 1.18771i
\(82\) −1.78568 + 1.78568i −0.197196 + 0.197196i
\(83\) −8.96025 + 4.56548i −0.983516 + 0.501126i −0.870341 0.492449i \(-0.836102\pi\)
−0.113174 + 0.993575i \(0.536102\pi\)
\(84\) −0.791722 + 0.575220i −0.0863839 + 0.0627616i
\(85\) −5.18947 1.73848i −0.562877 0.188564i
\(86\) −1.03029 + 1.41807i −0.111099 + 0.152914i
\(87\) −2.59804 + 16.4034i −0.278539 + 1.75863i
\(88\) 0.467103 2.94917i 0.0497933 0.314383i
\(89\) −8.37829 6.08719i −0.888097 0.645240i 0.0472839 0.998881i \(-0.484943\pi\)
−0.935381 + 0.353641i \(0.884943\pi\)
\(90\) −0.00732736 + 0.805933i −0.000772372 + 0.0849528i
\(91\) 0.200097 + 0.275409i 0.0209758 + 0.0288708i
\(92\) 2.63488 + 5.17124i 0.274705 + 0.539139i
\(93\) −10.3790 10.3790i −1.07625 1.07625i
\(94\) −0.0310883 + 0.0956801i −0.00320652 + 0.00986865i
\(95\) −8.79543 + 4.20006i −0.902392 + 0.430917i
\(96\) −1.91730 5.90085i −0.195684 0.602253i
\(97\) −4.44514 + 8.72408i −0.451336 + 0.885796i 0.547465 + 0.836829i \(0.315593\pi\)
−0.998800 + 0.0489674i \(0.984407\pi\)
\(98\) 1.76822 0.280059i 0.178617 0.0282902i
\(99\) 4.11374i 0.413447i
\(100\) −2.81974 9.24708i −0.281974 0.924708i
\(101\) −3.36449 −0.334779 −0.167389 0.985891i \(-0.553534\pi\)
−0.167389 + 0.985891i \(0.553534\pi\)
\(102\) 1.30741 0.207073i 0.129453 0.0205033i
\(103\) 4.93455 + 2.51428i 0.486215 + 0.247739i 0.679873 0.733330i \(-0.262035\pi\)
−0.193657 + 0.981069i \(0.562035\pi\)
\(104\) −1.36078 + 0.442145i −0.133436 + 0.0433559i
\(105\) 0.522960 1.00370i 0.0510356 0.0979513i
\(106\) −0.238180 + 0.733043i −0.0231341 + 0.0711994i
\(107\) −3.50317 3.50317i −0.338664 0.338664i 0.517200 0.855864i \(-0.326974\pi\)
−0.855864 + 0.517200i \(0.826974\pi\)
\(108\) −2.94962 5.78896i −0.283828 0.557043i
\(109\) 9.16096 6.65583i 0.877461 0.637513i −0.0551173 0.998480i \(-0.517553\pi\)
0.932579 + 0.360967i \(0.117553\pi\)
\(110\) 0.509831 + 1.61904i 0.0486104 + 0.154369i
\(111\) −18.5221 13.4571i −1.75804 1.27729i
\(112\) −0.136127 + 0.859475i −0.0128628 + 0.0812128i
\(113\) −1.82807 + 11.5420i −0.171970 + 1.08578i 0.739121 + 0.673573i \(0.235241\pi\)
−0.911091 + 0.412205i \(0.864759\pi\)
\(114\) 1.41718 1.88386i 0.132731 0.176439i
\(115\) −5.39410 3.99447i −0.503002 0.372486i
\(116\) 9.00049 + 12.3881i 0.835674 + 1.15021i
\(117\) 1.75639 0.894924i 0.162378 0.0827357i
\(118\) −1.99660 1.99660i −0.183802 0.183802i
\(119\) −0.561832 0.182550i −0.0515030 0.0167343i
\(120\) 3.33288 + 3.39404i 0.304249 + 0.309832i
\(121\) −0.721933 2.22188i −0.0656302 0.201989i
\(122\) −0.233544 + 0.458355i −0.0211440 + 0.0414975i
\(123\) −3.21226 20.2814i −0.289640 1.82872i
\(124\) −13.5333 −1.21532
\(125\) 7.68716 + 8.11835i 0.687560 + 0.726127i
\(126\) 0.0869956i 0.00775018i
\(127\) 0.345940 + 2.18418i 0.0306972 + 0.193814i 0.998271 0.0587725i \(-0.0187187\pi\)
−0.967574 + 0.252587i \(0.918719\pi\)
\(128\) −6.75403 3.44135i −0.596978 0.304175i
\(129\) −4.40435 13.5552i −0.387781 1.19347i
\(130\) 0.580346 0.569888i 0.0508997 0.0499825i
\(131\) 2.84097 8.74361i 0.248217 0.763933i −0.746874 0.664966i \(-0.768446\pi\)
0.995091 0.0989673i \(-0.0315539\pi\)
\(132\) 8.43895 + 8.43895i 0.734516 + 0.734516i
\(133\) −0.945213 + 0.461965i −0.0819604 + 0.0400574i
\(134\) −1.58220 2.17771i −0.136681 0.188125i
\(135\) 6.03844 + 4.47162i 0.519706 + 0.384856i
\(136\) 1.45942 2.00872i 0.125144 0.172246i
\(137\) −1.84296 + 11.6360i −0.157455 + 0.994129i 0.774769 + 0.632245i \(0.217866\pi\)
−0.932223 + 0.361884i \(0.882134\pi\)
\(138\) 1.60342 + 0.253957i 0.136493 + 0.0216183i
\(139\) −2.79598 + 3.84833i −0.237152 + 0.326411i −0.910960 0.412495i \(-0.864657\pi\)
0.673808 + 0.738906i \(0.264657\pi\)
\(140\) −0.313423 0.995317i −0.0264891 0.0841196i
\(141\) −0.480832 0.661809i −0.0404934 0.0557344i
\(142\) −0.568165 1.11509i −0.0476794 0.0935761i
\(143\) 2.93558 2.93558i 0.245486 0.245486i
\(144\) 4.79223 + 1.55709i 0.399353 + 0.129758i
\(145\) −15.7050 8.18278i −1.30423 0.679543i
\(146\) −3.82747 + 1.24362i −0.316763 + 0.102923i
\(147\) −6.60881 + 12.9705i −0.545086 + 1.06979i
\(148\) −20.8490 + 3.30216i −1.71378 + 0.271436i
\(149\) 1.54230i 0.126350i −0.998002 0.0631752i \(-0.979877\pi\)
0.998002 0.0631752i \(-0.0201227\pi\)
\(150\) −2.55615 0.882242i −0.208709 0.0720347i
\(151\) 6.81979i 0.554987i −0.960728 0.277493i \(-0.910496\pi\)
0.960728 0.277493i \(-0.0895037\pi\)
\(152\) −0.618968 4.37830i −0.0502049 0.355127i
\(153\) −1.55298 + 3.04789i −0.125551 + 0.246407i
\(154\) 0.0566174 + 0.174250i 0.00456236 + 0.0140415i
\(155\) 14.0093 6.97840i 1.12525 0.560519i
\(156\) 1.76721 5.43891i 0.141490 0.435461i
\(157\) −6.63971 + 6.63971i −0.529906 + 0.529906i −0.920544 0.390638i \(-0.872254\pi\)
0.390638 + 0.920544i \(0.372254\pi\)
\(158\) 1.67453 0.853218i 0.133219 0.0678784i
\(159\) −3.68385 5.07038i −0.292148 0.402107i
\(160\) 6.61557 + 0.0601473i 0.523007 + 0.00475506i
\(161\) −0.586132 0.425850i −0.0461937 0.0335617i
\(162\) −2.86296 0.453449i −0.224936 0.0356263i
\(163\) 7.21772 + 1.14317i 0.565335 + 0.0895403i 0.432559 0.901606i \(-0.357611\pi\)
0.132776 + 0.991146i \(0.457611\pi\)
\(164\) −15.3169 11.1284i −1.19605 0.868979i
\(165\) −13.0873 4.38426i −1.01885 0.341314i
\(166\) 1.52443 + 2.09819i 0.118318 + 0.162851i
\(167\) −14.4093 + 7.34193i −1.11503 + 0.568135i −0.911651 0.410965i \(-0.865192\pi\)
−0.203377 + 0.979100i \(0.565192\pi\)
\(168\) 0.363065 + 0.363065i 0.0280111 + 0.0280111i
\(169\) 10.4717 + 3.40248i 0.805519 + 0.261729i
\(170\) −0.233466 + 1.39202i −0.0179060 + 0.106763i
\(171\) 1.78588 + 5.82436i 0.136569 + 0.445400i
\(172\) −11.7088 5.96595i −0.892790 0.454899i
\(173\) −7.51168 + 1.18973i −0.571103 + 0.0904538i −0.435305 0.900283i \(-0.643360\pi\)
−0.135797 + 0.990737i \(0.543360\pi\)
\(174\) 4.28314 0.324704
\(175\) 0.837680 + 0.868711i 0.0633227 + 0.0656684i
\(176\) 10.6121 0.799918
\(177\) 22.6770 3.59168i 1.70451 0.269967i
\(178\) −1.21253 + 2.37973i −0.0908831 + 0.178368i
\(179\) 6.48668 + 19.9639i 0.484837 + 1.49218i 0.832216 + 0.554451i \(0.187072\pi\)
−0.347379 + 0.937725i \(0.612928\pi\)
\(180\) −5.97636 + 0.890944i −0.445452 + 0.0664071i
\(181\) 18.1754 + 5.90553i 1.35096 + 0.438955i 0.893016 0.450025i \(-0.148585\pi\)
0.457947 + 0.888979i \(0.348585\pi\)
\(182\) 0.0620804 0.0620804i 0.00460171 0.00460171i
\(183\) −1.89901 3.72702i −0.140379 0.275509i
\(184\) 2.46352 1.78985i 0.181613 0.131950i
\(185\) 19.8796 14.1690i 1.46158 1.04173i
\(186\) −2.22503 + 3.06249i −0.163147 + 0.224553i
\(187\) −1.12699 + 7.11554i −0.0824138 + 0.520340i
\(188\) −0.744952 0.117989i −0.0543312 0.00860522i
\(189\) 0.656147 + 0.476719i 0.0477277 + 0.0346762i
\(190\) 1.42470 + 2.07095i 0.103358 + 0.150242i
\(191\) −4.10075 + 2.97937i −0.296720 + 0.215579i −0.726177 0.687508i \(-0.758705\pi\)
0.429458 + 0.903087i \(0.358705\pi\)
\(192\) 12.0473 6.13843i 0.869443 0.443003i
\(193\) −12.4786 + 12.4786i −0.898228 + 0.898228i −0.995279 0.0970513i \(-0.969059\pi\)
0.0970513 + 0.995279i \(0.469059\pi\)
\(194\) 2.40156 + 0.780314i 0.172422 + 0.0560233i
\(195\) 0.975190 + 6.54147i 0.0698348 + 0.468445i
\(196\) 4.14756 + 12.7649i 0.296254 + 0.911777i
\(197\) 1.02399 + 0.521747i 0.0729560 + 0.0371729i 0.490088 0.871673i \(-0.336965\pi\)
−0.417132 + 0.908846i \(0.636965\pi\)
\(198\) 1.04787 0.165966i 0.0744685 0.0117947i
\(199\) 15.1641i 1.07495i 0.843278 + 0.537477i \(0.180623\pi\)
−0.843278 + 0.537477i \(0.819377\pi\)
\(200\) −4.56048 + 2.22018i −0.322475 + 0.156990i
\(201\) 21.8878 1.54384
\(202\) 0.135737 + 0.857012i 0.00955045 + 0.0602992i
\(203\) −1.70315 0.867797i −0.119537 0.0609074i
\(204\) 3.06667 + 9.43823i 0.214710 + 0.660808i
\(205\) 21.5939 + 3.62169i 1.50819 + 0.252950i
\(206\) 0.441364 1.35838i 0.0307513 0.0946427i
\(207\) −2.96648 + 2.96648i −0.206184 + 0.206184i
\(208\) −2.30861 4.53090i −0.160073 0.314162i
\(209\) 7.36761 + 10.5038i 0.509628 + 0.726564i
\(210\) −0.276764 0.0927164i −0.0190986 0.00639804i
\(211\) 1.41699 1.95032i 0.0975494 0.134265i −0.757452 0.652891i \(-0.773556\pi\)
0.855002 + 0.518625i \(0.173556\pi\)
\(212\) −5.70737 0.903959i −0.391984 0.0620842i
\(213\) 10.0510 + 1.59192i 0.688681 + 0.109076i
\(214\) −0.751005 + 1.03367i −0.0513377 + 0.0706602i
\(215\) 15.1970 + 0.138168i 1.03643 + 0.00942297i
\(216\) −2.75780 + 2.00366i −0.187644 + 0.136332i
\(217\) 1.50525 0.766961i 0.102183 0.0520647i
\(218\) −2.06498 2.06498i −0.139858 0.139858i
\(219\) 10.1122 31.1223i 0.683321 2.10305i
\(220\) −11.3907 + 5.67400i −0.767961 + 0.382541i
\(221\) 3.28319 1.06677i 0.220852 0.0717590i
\(222\) −2.68057 + 5.26091i −0.179908 + 0.353089i
\(223\) 0.110074 0.0174340i 0.00737111 0.00116747i −0.152748 0.988265i \(-0.548812\pi\)
0.160119 + 0.987098i \(0.448812\pi\)
\(224\) 0.714111 0.0477135
\(225\) 5.72717 4.00398i 0.381811 0.266932i
\(226\) 3.01376 0.200472
\(227\) −1.46625 9.25752i −0.0973182 0.614443i −0.987351 0.158547i \(-0.949319\pi\)
0.890033 0.455896i \(-0.150681\pi\)
\(228\) 15.6117 + 8.28456i 1.03391 + 0.548659i
\(229\) −4.25970 + 1.38406i −0.281489 + 0.0914613i −0.446359 0.894854i \(-0.647280\pi\)
0.164870 + 0.986315i \(0.447280\pi\)
\(230\) −0.799863 + 1.53515i −0.0527414 + 0.101225i
\(231\) −1.41688 0.460372i −0.0932239 0.0302903i
\(232\) 5.68090 5.68090i 0.372969 0.372969i
\(233\) 16.2679 8.28892i 1.06575 0.543025i 0.169022 0.985612i \(-0.445939\pi\)
0.896726 + 0.442587i \(0.145939\pi\)
\(234\) −0.298818 0.411287i −0.0195343 0.0268867i
\(235\) 0.831996 0.261994i 0.0542735 0.0170906i
\(236\) 12.4428 17.1260i 0.809957 1.11481i
\(237\) −2.39059 + 15.0936i −0.155286 + 0.980434i
\(238\) −0.0238331 + 0.150476i −0.00154487 + 0.00975393i
\(239\) 4.38111 6.03009i 0.283391 0.390054i −0.643463 0.765478i \(-0.722503\pi\)
0.926853 + 0.375424i \(0.122503\pi\)
\(240\) −10.0610 + 13.5863i −0.649437 + 0.876994i
\(241\) 0.554386 + 0.763047i 0.0357111 + 0.0491522i 0.826499 0.562938i \(-0.190329\pi\)
−0.790788 + 0.612090i \(0.790329\pi\)
\(242\) −0.536838 + 0.273533i −0.0345093 + 0.0175834i
\(243\) 9.53807 9.53807i 0.611868 0.611868i
\(244\) −3.66793 1.19178i −0.234815 0.0762960i
\(245\) −10.8756 11.0752i −0.694818 0.707568i
\(246\) −5.03655 + 1.63648i −0.321119 + 0.104338i
\(247\) 2.88188 5.43070i 0.183370 0.345547i
\(248\) 1.11076 + 7.01306i 0.0705333 + 0.445330i
\(249\) −21.0886 −1.33643
\(250\) 1.75780 2.28562i 0.111173 0.144556i
\(251\) −2.14586 −0.135445 −0.0677227 0.997704i \(-0.521573\pi\)
−0.0677227 + 0.997704i \(0.521573\pi\)
\(252\) −0.644185 + 0.102029i −0.0405798 + 0.00642721i
\(253\) −4.01119 + 7.87239i −0.252181 + 0.494933i
\(254\) 0.542403 0.176238i 0.0340334 0.0110581i
\(255\) −8.04133 8.18889i −0.503568 0.512808i
\(256\) 3.38077 10.4049i 0.211298 0.650309i
\(257\) 20.4697 + 20.4697i 1.27686 + 1.27686i 0.942413 + 0.334450i \(0.108551\pi\)
0.334450 + 0.942413i \(0.391449\pi\)
\(258\) −3.27513 + 1.66876i −0.203901 + 0.103893i
\(259\) 2.13180 1.54884i 0.132464 0.0962405i
\(260\) 4.90054 + 3.62898i 0.303919 + 0.225060i
\(261\) −6.50591 + 8.95461i −0.402706 + 0.554277i
\(262\) −2.34182 0.370907i −0.144678 0.0229147i
\(263\) −12.6571 2.00470i −0.780473 0.123615i −0.246530 0.969135i \(-0.579290\pi\)
−0.533943 + 0.845520i \(0.679290\pi\)
\(264\) 3.68050 5.06577i 0.226519 0.311777i
\(265\) 6.37425 2.00724i 0.391567 0.123304i
\(266\) 0.155807 + 0.222130i 0.00955313 + 0.0136197i
\(267\) −9.85945 19.3503i −0.603388 1.18422i
\(268\) 14.2699 14.2699i 0.871671 0.871671i
\(269\) −6.17842 + 19.0152i −0.376705 + 1.15938i 0.565617 + 0.824668i \(0.308638\pi\)
−0.942321 + 0.334710i \(0.891362\pi\)
\(270\) 0.895409 1.71853i 0.0544929 0.104587i
\(271\) 5.81744 + 17.9042i 0.353384 + 1.08761i 0.956940 + 0.290285i \(0.0937500\pi\)
−0.603556 + 0.797321i \(0.706250\pi\)
\(272\) 7.86255 + 4.00617i 0.476737 + 0.242910i
\(273\) 0.111676 + 0.705097i 0.00675897 + 0.0426744i
\(274\) 3.03830 0.183551
\(275\) 8.86558 11.7472i 0.534614 0.708381i
\(276\) 12.1709i 0.732601i
\(277\) 23.6961 3.75309i 1.42376 0.225502i 0.603442 0.797407i \(-0.293796\pi\)
0.820320 + 0.571905i \(0.193796\pi\)
\(278\) 1.09306 + 0.556942i 0.0655574 + 0.0334032i
\(279\) −3.02292 9.30360i −0.180978 0.556992i
\(280\) −0.490057 + 0.244110i −0.0292865 + 0.0145884i
\(281\) 10.9513 + 3.55830i 0.653301 + 0.212270i 0.616869 0.787066i \(-0.288401\pi\)
0.0364321 + 0.999336i \(0.488401\pi\)
\(282\) −0.149179 + 0.149179i −0.00888349 + 0.00888349i
\(283\) −7.72825 + 3.93774i −0.459397 + 0.234074i −0.668344 0.743853i \(-0.732996\pi\)
0.208947 + 0.977927i \(0.432996\pi\)
\(284\) 7.59065 5.51493i 0.450422 0.327251i
\(285\) −20.4327 0.525854i −1.21033 0.0311489i
\(286\) −0.866194 0.629327i −0.0512192 0.0372129i
\(287\) 2.33430 + 0.369716i 0.137789 + 0.0218237i
\(288\) 0.646868 4.08417i 0.0381171 0.240662i
\(289\) 6.47117 8.90681i 0.380657 0.523930i
\(290\) −1.45074 + 4.33055i −0.0851902 + 0.254298i
\(291\) −16.6113 + 12.0688i −0.973773 + 0.707488i
\(292\) −13.6976 26.8831i −0.801593 1.57321i
\(293\) −12.6303 + 12.6303i −0.737869 + 0.737869i −0.972165 0.234296i \(-0.924721\pi\)
0.234296 + 0.972165i \(0.424721\pi\)
\(294\) 3.57052 + 1.16013i 0.208237 + 0.0676603i
\(295\) −4.04946 + 24.1445i −0.235769 + 1.40575i
\(296\) 3.42241 + 10.5331i 0.198924 + 0.612224i
\(297\) 4.49034 8.81278i 0.260556 0.511369i
\(298\) −0.392860 + 0.0622230i −0.0227578 + 0.00360448i
\(299\) 4.23378 0.244846
\(300\) 3.53495 19.9625i 0.204090 1.15254i
\(301\) 1.64043 0.0945526
\(302\) −1.73716 + 0.275139i −0.0999622 + 0.0158325i
\(303\) −6.28648 3.20312i −0.361149 0.184015i
\(304\) 15.0249 4.60697i 0.861740 0.264228i
\(305\) 4.41149 0.657655i 0.252601 0.0376572i
\(306\) 0.839021 + 0.272614i 0.0479636 + 0.0155843i
\(307\) −11.4602 11.4602i −0.654067 0.654067i 0.299903 0.953970i \(-0.403046\pi\)
−0.953970 + 0.299903i \(0.903046\pi\)
\(308\) −1.22389 + 0.623602i −0.0697375 + 0.0355330i
\(309\) 6.82642 + 9.39576i 0.388341 + 0.534506i
\(310\) −2.34275 3.28695i −0.133059 0.186686i
\(311\) −8.42212 6.11903i −0.477575 0.346978i 0.322811 0.946463i \(-0.395372\pi\)
−0.800386 + 0.599485i \(0.795372\pi\)
\(312\) −2.96353 0.469378i −0.167777 0.0265733i
\(313\) 14.0821 + 2.23039i 0.795968 + 0.126069i 0.541157 0.840922i \(-0.317987\pi\)
0.254811 + 0.966991i \(0.417987\pi\)
\(314\) 1.95916 + 1.42341i 0.110562 + 0.0803279i
\(315\) 0.614233 0.437790i 0.0346081 0.0246667i
\(316\) 8.28181 + 11.3989i 0.465888 + 0.641240i
\(317\) 12.3005 6.26740i 0.690863 0.352012i −0.0730532 0.997328i \(-0.523274\pi\)
0.763916 + 0.645316i \(0.223274\pi\)
\(318\) −1.14292 + 1.14292i −0.0640918 + 0.0640918i
\(319\) −7.20347 + 22.1700i −0.403317 + 1.24128i
\(320\) 2.12583 + 14.2598i 0.118837 + 0.797149i
\(321\) −3.21045 9.88076i −0.179190 0.551490i
\(322\) −0.0848267 + 0.166482i −0.00472721 + 0.00927767i
\(323\) 1.49340 + 10.5637i 0.0830951 + 0.587777i
\(324\) 21.7315i 1.20730i
\(325\) −6.94418 1.22967i −0.385194 0.0682100i
\(326\) 1.88464i 0.104381i
\(327\) 23.4537 3.71470i 1.29699 0.205423i
\(328\) −4.50966 + 8.85071i −0.249004 + 0.488699i
\(329\) 0.0895444 0.0290948i 0.00493675 0.00160405i
\(330\) −0.588776 + 3.51052i −0.0324110 + 0.193248i
\(331\) −34.5438 11.2240i −1.89870 0.616925i −0.967855 0.251510i \(-0.919073\pi\)
−0.930845 0.365415i \(-0.880927\pi\)
\(332\) −13.7488 + 13.7488i −0.754565 + 0.754565i
\(333\) −6.92714 13.5953i −0.379605 0.745016i
\(334\) 2.45149 + 3.37419i 0.134140 + 0.184627i
\(335\) −7.41358 + 22.1300i −0.405047 + 1.20909i
\(336\) −1.07261 + 1.47631i −0.0585154 + 0.0805396i
\(337\) −9.34669 1.48037i −0.509147 0.0806409i −0.103424 0.994637i \(-0.532980\pi\)
−0.405722 + 0.913996i \(0.632980\pi\)
\(338\) 0.444215 2.80467i 0.0241621 0.152554i
\(339\) −14.4041 + 19.8256i −0.782325 + 1.07678i
\(340\) −10.5814 0.0962038i −0.573857 0.00521738i
\(341\) −12.1097 16.6676i −0.655777 0.902600i
\(342\) 1.41155 0.689883i 0.0763278 0.0373046i
\(343\) −2.37940 2.37940i −0.128476 0.128476i
\(344\) −2.13059 + 6.55728i −0.114874 + 0.353545i
\(345\) −6.27588 12.5990i −0.337882 0.678306i
\(346\) 0.606105 + 1.86540i 0.0325844 + 0.100284i
\(347\) 10.5005 + 5.35026i 0.563696 + 0.287217i 0.712526 0.701645i \(-0.247551\pi\)
−0.148831 + 0.988863i \(0.547551\pi\)
\(348\) 5.02328 + 31.7158i 0.269276 + 1.70014i
\(349\) 25.4722i 1.36349i −0.731588 0.681747i \(-0.761221\pi\)
0.731588 0.681747i \(-0.238779\pi\)
\(350\) 0.187485 0.248424i 0.0100215 0.0132788i
\(351\) −4.73952 −0.252977
\(352\) −1.36234 8.60149i −0.0726131 0.458461i
\(353\) −1.71535 + 3.36655i −0.0912986 + 0.179184i −0.932140 0.362098i \(-0.882061\pi\)
0.840841 + 0.541281i \(0.182061\pi\)
\(354\) −1.82977 5.63145i −0.0972511 0.299308i
\(355\) −5.01389 + 9.62301i −0.266110 + 0.510737i
\(356\) −19.0435 6.18759i −1.00930 0.327942i
\(357\) −0.875977 0.875977i −0.0463616 0.0463616i
\(358\) 4.82358 2.45774i 0.254934 0.129895i
\(359\) −10.0198 13.7911i −0.528825 0.727865i 0.458126 0.888887i \(-0.348521\pi\)
−0.986951 + 0.161022i \(0.948521\pi\)
\(360\) 0.952212 + 3.02388i 0.0501860 + 0.159372i
\(361\) 14.9912 + 11.6732i 0.789013 + 0.614377i
\(362\) 0.771005 4.86794i 0.0405231 0.255853i
\(363\) 0.766399 4.83885i 0.0402255 0.253974i
\(364\) 0.532501 + 0.386885i 0.0279106 + 0.0202783i
\(365\) 28.0416 + 20.7655i 1.46777 + 1.08692i
\(366\) −0.872744 + 0.634086i −0.0456191 + 0.0331442i
\(367\) −6.24514 12.2568i −0.325994 0.639799i 0.668602 0.743620i \(-0.266893\pi\)
−0.994596 + 0.103822i \(0.966893\pi\)
\(368\) 7.65254 + 7.65254i 0.398916 + 0.398916i
\(369\) 4.22899 13.0155i 0.220152 0.677560i
\(370\) −4.41121 4.49215i −0.229328 0.233536i
\(371\) 0.686035 0.222906i 0.0356172 0.0115727i
\(372\) −25.2867 12.8842i −1.31105 0.668015i
\(373\) 26.8254 4.24873i 1.38897 0.219991i 0.583251 0.812292i \(-0.301781\pi\)
0.805716 + 0.592302i \(0.201781\pi\)
\(374\) 1.85796 0.0960728
\(375\) 6.63432 + 22.4875i 0.342595 + 1.16125i
\(376\) 0.395725i 0.0204079i
\(377\) 11.0327 1.74741i 0.568213 0.0899960i
\(378\) 0.0949596 0.186369i 0.00488419 0.00958577i
\(379\) 9.82307 + 30.2323i 0.504577 + 1.55293i 0.801480 + 0.598022i \(0.204046\pi\)
−0.296903 + 0.954908i \(0.595954\pi\)
\(380\) −13.6641 + 12.9784i −0.700952 + 0.665778i
\(381\) −1.43304 + 4.41044i −0.0734168 + 0.225954i
\(382\) 0.924354 + 0.924354i 0.0472941 + 0.0472941i
\(383\) 10.6148 + 20.8328i 0.542393 + 1.06451i 0.985759 + 0.168165i \(0.0537842\pi\)
−0.443366 + 0.896341i \(0.646216\pi\)
\(384\) −9.34349 12.8602i −0.476808 0.656270i
\(385\) 0.945378 1.27663i 0.0481809 0.0650631i
\(386\) 3.68202 + 2.67514i 0.187410 + 0.136161i
\(387\) 1.48596 9.38198i 0.0755356 0.476913i
\(388\) −2.96151 + 18.6982i −0.150348 + 0.949258i
\(389\) −8.52238 + 11.7300i −0.432102 + 0.594737i −0.968434 0.249270i \(-0.919809\pi\)
0.536332 + 0.844007i \(0.319809\pi\)
\(390\) 1.62692 0.512314i 0.0823824 0.0259420i
\(391\) −5.94380 + 4.31843i −0.300591 + 0.218392i
\(392\) 6.27445 3.19699i 0.316908 0.161473i
\(393\) 13.6326 13.6326i 0.687672 0.687672i
\(394\) 0.0915891 0.281882i 0.00461419 0.0142010i
\(395\) −14.4509 7.52939i −0.727106 0.378845i
\(396\) 2.45788 + 7.56458i 0.123513 + 0.380135i
\(397\) −26.8066 13.6587i −1.34539 0.685508i −0.374990 0.927029i \(-0.622354\pi\)
−0.970396 + 0.241521i \(0.922354\pi\)
\(398\) 3.86265 0.611783i 0.193617 0.0306659i
\(399\) −2.20592 0.0367070i −0.110434 0.00183765i
\(400\) −10.3290 14.7742i −0.516448 0.738711i
\(401\) 0.738046i 0.0368563i 0.999830 + 0.0184281i \(0.00586619\pi\)
−0.999830 + 0.0184281i \(0.994134\pi\)
\(402\) −0.883043 5.57532i −0.0440422 0.278071i
\(403\) −4.48192 + 8.79626i −0.223260 + 0.438173i
\(404\) −6.18681 + 2.01022i −0.307805 + 0.100012i
\(405\) 11.2058 + 22.4959i 0.556820 + 1.11783i
\(406\) −0.152336 + 0.468841i −0.00756030 + 0.0232682i
\(407\) −22.7228 22.7228i −1.12633 1.12633i
\(408\) 4.63927 2.36383i 0.229678 0.117027i
\(409\) −8.68479 + 6.30987i −0.429435 + 0.312003i −0.781423 0.624002i \(-0.785506\pi\)
0.351988 + 0.936005i \(0.385506\pi\)
\(410\) 0.0513375 5.64659i 0.00253538 0.278865i
\(411\) −14.5214 + 19.9870i −0.716290 + 0.985888i
\(412\) 10.5762 + 1.67510i 0.521050 + 0.0825262i
\(413\) −0.413386 + 2.61001i −0.0203414 + 0.128430i
\(414\) 0.875310 + 0.635950i 0.0430191 + 0.0312552i
\(415\) 7.14289 21.3220i 0.350631 1.04666i
\(416\) −3.37609 + 2.45287i −0.165526 + 0.120262i
\(417\) −8.88799 + 4.52866i −0.435247 + 0.221769i
\(418\) 2.37832 2.30047i 0.116328 0.112520i
\(419\) −25.3845 8.24793i −1.24011 0.402938i −0.385746 0.922605i \(-0.626056\pi\)
−0.854369 + 0.519668i \(0.826056\pi\)
\(420\) 0.361955 2.15812i 0.0176616 0.105306i
\(421\) 22.1410 7.19403i 1.07908 0.350616i 0.285065 0.958508i \(-0.407985\pi\)
0.794019 + 0.607892i \(0.207985\pi\)
\(422\) −0.553958 0.282256i −0.0269662 0.0137400i
\(423\) −0.0852870 0.538481i −0.00414680 0.0261818i
\(424\) 3.03180i 0.147237i
\(425\) 11.0032 5.35668i 0.533734 0.259837i
\(426\) 2.62444i 0.127154i
\(427\) 0.475508 0.0753131i 0.0230115 0.00364466i
\(428\) −8.53490 4.34875i −0.412550 0.210205i
\(429\) 8.27987 2.69029i 0.399756 0.129889i
\(430\) −0.577916 3.87660i −0.0278696 0.186946i
\(431\) 8.78712 + 2.85511i 0.423261 + 0.137526i 0.512900 0.858449i \(-0.328571\pi\)
−0.0896388 + 0.995974i \(0.528571\pi\)
\(432\) −8.56666 8.56666i −0.412163 0.412163i
\(433\) 4.39383 + 8.62338i 0.211154 + 0.414413i 0.972155 0.234337i \(-0.0752920\pi\)
−0.761001 + 0.648750i \(0.775292\pi\)
\(434\) −0.256091 0.352479i −0.0122927 0.0169195i
\(435\) −21.5541 30.2411i −1.03344 1.44995i
\(436\) 12.8690 17.7126i 0.616312 0.848281i
\(437\) −2.26156 + 12.8873i −0.108185 + 0.616484i
\(438\) −8.33552 1.32022i −0.398287 0.0630824i
\(439\) 0.616649 + 0.448022i 0.0294311 + 0.0213829i 0.602404 0.798192i \(-0.294210\pi\)
−0.572972 + 0.819575i \(0.694210\pi\)
\(440\) 3.87522 + 5.43706i 0.184744 + 0.259202i
\(441\) −7.84892 + 5.70257i −0.373758 + 0.271551i
\(442\) −0.404190 0.793267i −0.0192253 0.0377319i
\(443\) 4.92872 + 4.92872i 0.234171 + 0.234171i 0.814431 0.580260i \(-0.197049\pi\)
−0.580260 + 0.814431i \(0.697049\pi\)
\(444\) −42.0997 13.6790i −1.99797 0.649178i
\(445\) 22.9039 3.41447i 1.08575 0.161861i
\(446\) −0.00888170 0.0273351i −0.000420561 0.00129435i
\(447\) 1.46833 2.88177i 0.0694498 0.136303i
\(448\) 0.243445 + 1.53705i 0.0115017 + 0.0726188i
\(449\) 5.55192 0.262011 0.131006 0.991382i \(-0.458179\pi\)
0.131006 + 0.991382i \(0.458179\pi\)
\(450\) −1.25096 1.29730i −0.0589710 0.0611555i
\(451\) 28.8220i 1.35718i
\(452\) 3.53455 + 22.3163i 0.166251 + 1.04967i
\(453\) 6.49271 12.7427i 0.305054 0.598702i
\(454\) −2.29895 + 0.746974i −0.107895 + 0.0350572i
\(455\) −0.750728 0.125910i −0.0351946 0.00590277i
\(456\) 3.01179 8.77006i 0.141040 0.410696i
\(457\) 21.5288 21.5288i 1.00708 1.00708i 0.00710204 0.999975i \(-0.497739\pi\)
0.999975 0.00710204i \(-0.00226067\pi\)
\(458\) 0.524406 + 1.02921i 0.0245039 + 0.0480916i
\(459\) 6.65381 4.83428i 0.310573 0.225645i
\(460\) −12.3056 4.12239i −0.573751 0.192207i
\(461\) −31.3411 22.7707i −1.45970 1.06054i −0.983441 0.181231i \(-0.941992\pi\)
−0.476261 0.879304i \(-0.658008\pi\)
\(462\) −0.0601046 + 0.379486i −0.00279632 + 0.0176553i
\(463\) −5.92256 0.938041i −0.275245 0.0435945i 0.0172861 0.999851i \(-0.494497\pi\)
−0.292531 + 0.956256i \(0.594497\pi\)
\(464\) 23.1000 + 16.7831i 1.07239 + 0.779136i
\(465\) 32.8198 + 0.298391i 1.52198 + 0.0138375i
\(466\) −2.76770 3.80941i −0.128211 0.176467i
\(467\) −7.20295 14.1366i −0.333313 0.654164i 0.662144 0.749377i \(-0.269647\pi\)
−0.995457 + 0.0952131i \(0.969647\pi\)
\(468\) 2.69504 2.69504i 0.124578 0.124578i
\(469\) −0.778469 + 2.39588i −0.0359463 + 0.110631i
\(470\) −0.100302 0.201359i −0.00462659 0.00928798i
\(471\) −18.7274 + 6.08491i −0.862915 + 0.280378i
\(472\) −9.89611 5.04232i −0.455505 0.232092i
\(473\) −3.12952 19.7590i −0.143895 0.908519i
\(474\) 3.94113 0.181022
\(475\) 7.45242 20.4808i 0.341940 0.939722i
\(476\) −1.14220 −0.0523526
\(477\) −0.653417 4.12551i −0.0299179 0.188894i
\(478\) −1.71275 0.872692i −0.0783396 0.0399160i
\(479\) −28.7497 + 9.34134i −1.31361 + 0.426817i −0.880295 0.474427i \(-0.842655\pi\)
−0.433312 + 0.901244i \(0.642655\pi\)
\(480\) 12.3038 + 6.41066i 0.561589 + 0.292605i
\(481\) −4.75841 + 14.6449i −0.216965 + 0.667749i
\(482\) 0.171999 0.171999i 0.00783436 0.00783436i
\(483\) −0.689751 1.35371i −0.0313848 0.0615961i
\(484\) −2.65506 3.65438i −0.120685 0.166108i
\(485\) −6.57601 20.8830i −0.298601 0.948249i
\(486\) −2.81437 2.04476i −0.127663 0.0927523i
\(487\) 35.1911 + 5.57373i 1.59466 + 0.252570i 0.889656 0.456631i \(-0.150944\pi\)
0.705006 + 0.709201i \(0.250944\pi\)
\(488\) −0.316542 + 1.99857i −0.0143292 + 0.0904709i
\(489\) 12.3978 + 9.00755i 0.560649 + 0.407335i
\(490\) −2.38234 + 3.21709i −0.107623 + 0.145333i
\(491\) −28.4905 + 20.6996i −1.28576 + 0.934159i −0.999711 0.0240557i \(-0.992342\pi\)
−0.286049 + 0.958215i \(0.592342\pi\)
\(492\) −18.0247 35.3754i −0.812615 1.59485i
\(493\) −13.7065 + 13.7065i −0.617308 + 0.617308i
\(494\) −1.49959 0.514984i −0.0674698 0.0231702i
\(495\) −6.44500 6.56326i −0.289681 0.294997i
\(496\) −24.0002 + 7.79815i −1.07764 + 0.350147i
\(497\) −0.531731 + 1.04358i −0.0238514 + 0.0468110i
\(498\) 0.850801 + 5.37175i 0.0381253 + 0.240714i
\(499\) 35.7453i 1.60018i 0.599880 + 0.800090i \(0.295215\pi\)
−0.599880 + 0.800090i \(0.704785\pi\)
\(500\) 18.9861 + 10.3356i 0.849086 + 0.462220i
\(501\) −33.9134 −1.51514
\(502\) 0.0865729 + 0.546600i 0.00386394 + 0.0243959i
\(503\) 17.4402 34.2284i 0.777621 1.52617i −0.0711855 0.997463i \(-0.522678\pi\)
0.848806 0.528704i \(-0.177322\pi\)
\(504\) 0.105744 + 0.325448i 0.00471023 + 0.0144966i
\(505\) 5.36786 5.27114i 0.238867 0.234562i
\(506\) 2.16711 + 0.704136i 0.0963397 + 0.0313027i
\(507\) 16.3270 + 16.3270i 0.725107 + 0.725107i
\(508\) 1.94114 + 3.80970i 0.0861240 + 0.169028i
\(509\) 2.63941 1.91764i 0.116990 0.0849981i −0.527752 0.849399i \(-0.676965\pi\)
0.644742 + 0.764400i \(0.276965\pi\)
\(510\) −1.76148 + 2.37869i −0.0779996 + 0.105330i
\(511\) 3.04705 + 2.21381i 0.134794 + 0.0979333i
\(512\) −17.7606 2.81300i −0.784914 0.124318i
\(513\) 2.53171 14.4268i 0.111778 0.636957i
\(514\) 4.38827 6.03993i 0.193558 0.266410i
\(515\) −11.8119 + 3.71955i −0.520496 + 0.163903i
\(516\) −16.1979 22.2945i −0.713074 0.981462i
\(517\) −0.521275 1.02306i −0.0229257 0.0449942i
\(518\) −0.480532 0.480532i −0.0211134 0.0211134i
\(519\) −15.1681 4.92842i −0.665806 0.216334i
\(520\) 1.47835 2.83735i 0.0648299 0.124426i
\(521\) 25.7413 8.36386i 1.12775 0.366428i 0.315028 0.949082i \(-0.397986\pi\)
0.812720 + 0.582655i \(0.197986\pi\)
\(522\) 2.54342 + 1.29594i 0.111323 + 0.0567217i
\(523\) 11.2301 1.77868i 0.491059 0.0777761i 0.0940056 0.995572i \(-0.470033\pi\)
0.397053 + 0.917796i \(0.370033\pi\)
\(524\) 17.7757i 0.776534i
\(525\) 0.738143 + 2.42067i 0.0322152 + 0.105647i
\(526\) 3.30495i 0.144102i
\(527\) −2.67996 16.9206i −0.116741 0.737073i
\(528\) 19.8285 + 10.1031i 0.862926 + 0.439683i
\(529\) 13.3049 4.32302i 0.578473 0.187957i
\(530\) −0.768453 1.54269i −0.0333795 0.0670101i
\(531\) 14.5528 + 4.72850i 0.631539 + 0.205199i
\(532\) −1.46210 + 1.41423i −0.0633899 + 0.0613148i
\(533\) −12.3057 + 6.27008i −0.533021 + 0.271588i
\(534\) −4.53119 + 3.29210i −0.196084 + 0.142463i
\(535\) 11.0775 + 0.100714i 0.478923 + 0.00435427i
\(536\) −8.56598 6.22355i −0.369994 0.268816i
\(537\) −6.88621 + 43.4778i −0.297162 + 1.87621i
\(538\) 5.09288 + 0.806632i 0.219569 + 0.0347764i
\(539\) −12.0099 + 16.5303i −0.517305 + 0.712009i
\(540\) 13.7755 + 4.61482i 0.592805 + 0.198590i
\(541\) 3.04928 2.21543i 0.131099 0.0952489i −0.520303 0.853982i \(-0.674181\pi\)
0.651402 + 0.758733i \(0.274181\pi\)
\(542\) 4.32592 2.20417i 0.185814 0.0946771i
\(543\) 28.3380 + 28.3380i 1.21610 + 1.21610i
\(544\) 2.23778 6.88717i 0.0959439 0.295285i
\(545\) −4.18816 + 24.9715i −0.179401 + 1.06966i
\(546\) 0.175099 0.0568931i 0.00749355 0.00243480i
\(547\) 16.0885 31.5755i 0.687895 1.35007i −0.237620 0.971358i \(-0.576367\pi\)
0.925515 0.378712i \(-0.123633\pi\)
\(548\) 3.56334 + 22.4980i 0.152218 + 0.961068i
\(549\) 2.78777i 0.118979i
\(550\) −3.34995 1.78434i −0.142842 0.0760844i
\(551\) −0.574357 + 34.5162i −0.0244684 + 1.47044i
\(552\) 6.30705 0.998939i 0.268446 0.0425177i
\(553\) −1.56715 0.798504i −0.0666421 0.0339558i
\(554\) −1.91200 5.88453i −0.0812331 0.250010i
\(555\) 50.6341 7.54844i 2.14930 0.320413i
\(556\) −2.84210 + 8.74707i −0.120532 + 0.370958i
\(557\) 7.52705 7.52705i 0.318931 0.318931i −0.529425 0.848357i \(-0.677592\pi\)
0.848357 + 0.529425i \(0.177592\pi\)
\(558\) −2.24788 + 1.14535i −0.0951606 + 0.0484867i
\(559\) −7.75541 + 5.63463i −0.328019 + 0.238320i
\(560\) −1.12935 1.58452i −0.0477239 0.0669581i
\(561\) −8.88004 + 12.2223i −0.374915 + 0.516027i
\(562\) 0.464559 2.93311i 0.0195963 0.123726i
\(563\) 6.23037 39.3370i 0.262579 1.65786i −0.405745 0.913986i \(-0.632988\pi\)
0.668324 0.743870i \(-0.267012\pi\)
\(564\) −1.27960 0.929684i −0.0538809 0.0391467i
\(565\) −15.1662 21.2787i −0.638047 0.895200i
\(566\) 1.31482 + 1.80970i 0.0552661 + 0.0760673i
\(567\) 1.23157 + 2.41710i 0.0517212 + 0.101508i
\(568\) −3.48090 3.48090i −0.146055 0.146055i
\(569\) 6.66900 20.5251i 0.279579 0.860456i −0.708392 0.705819i \(-0.750579\pi\)
0.987971 0.154637i \(-0.0494209\pi\)
\(570\) 0.690394 + 5.22590i 0.0289174 + 0.218889i
\(571\) 7.75725 + 23.8744i 0.324631 + 0.999111i 0.971607 + 0.236601i \(0.0760334\pi\)
−0.646976 + 0.762510i \(0.723967\pi\)
\(572\) 3.64416 7.15207i 0.152370 0.299043i
\(573\) −10.4986 + 1.66282i −0.438587 + 0.0694653i
\(574\) 0.609515i 0.0254407i
\(575\) 14.8641 2.07796i 0.619877 0.0866568i
\(576\) 9.01127 0.375470
\(577\) 33.9409 5.37571i 1.41298 0.223794i 0.597169 0.802115i \(-0.296292\pi\)
0.815809 + 0.578322i \(0.196292\pi\)
\(578\) −2.52984 1.28902i −0.105228 0.0536161i
\(579\) −35.1961 + 11.4359i −1.46270 + 0.475260i
\(580\) −33.7682 5.66353i −1.40215 0.235165i
\(581\) 0.750045 2.30840i 0.0311171 0.0957686i
\(582\) 3.74438 + 3.74438i 0.155210 + 0.155210i
\(583\) −3.99370 7.83807i −0.165402 0.324620i
\(584\) −12.8068 + 9.30468i −0.529949 + 0.385031i
\(585\) −1.40015 + 4.17953i −0.0578890 + 0.172802i
\(586\) 3.72678 + 2.70767i 0.153952 + 0.111853i
\(587\) 0.809748 5.11255i 0.0334219 0.211017i −0.965326 0.261048i \(-0.915932\pi\)
0.998748 + 0.0500306i \(0.0159319\pi\)
\(588\) −4.40302 + 27.7996i −0.181577 + 1.14644i
\(589\) −24.3811 18.3414i −1.00461 0.755742i
\(590\) 6.31354 + 0.0574013i 0.259924 + 0.00236317i
\(591\) 1.41658 + 1.94975i 0.0582701 + 0.0802019i
\(592\) −35.0713 + 17.8697i −1.44142 + 0.734442i
\(593\) 27.0346 + 27.0346i 1.11018 + 1.11018i 0.993126 + 0.117051i \(0.0373442\pi\)
0.117051 + 0.993126i \(0.462656\pi\)
\(594\) −2.42598 0.788248i −0.0995390 0.0323422i
\(595\) 1.18237 0.588972i 0.0484726 0.0241455i
\(596\) −0.921497 2.83608i −0.0377460 0.116170i
\(597\) −14.4368 + 28.3338i −0.590859 + 1.15963i
\(598\) −0.170808 1.07844i −0.00698487 0.0441007i
\(599\) −37.6647 −1.53894 −0.769469 0.638684i \(-0.779479\pi\)
−0.769469 + 0.638684i \(0.779479\pi\)
\(600\) −10.6349 0.193396i −0.434167 0.00789535i
\(601\) 32.7761i 1.33696i 0.743728 + 0.668482i \(0.233056\pi\)
−0.743728 + 0.668482i \(0.766944\pi\)
\(602\) −0.0661816 0.417854i −0.00269736 0.0170305i
\(603\) 12.9974 + 6.62252i 0.529296 + 0.269690i
\(604\) −4.07469 12.5406i −0.165797 0.510271i
\(605\) 4.63282 + 2.41384i 0.188351 + 0.0981367i
\(606\) −0.562286 + 1.73054i −0.0228413 + 0.0702983i
\(607\) −3.47282 3.47282i −0.140958 0.140958i 0.633107 0.774064i \(-0.281779\pi\)
−0.774064 + 0.633107i \(0.781779\pi\)
\(608\) −5.66296 11.5868i −0.229663 0.469908i
\(609\) −2.35612 3.24292i −0.0954749 0.131410i
\(610\) −0.345498 1.09717i −0.0139888 0.0444233i
\(611\) −0.323401 + 0.445123i −0.0130834 + 0.0180078i
\(612\) −1.03465 + 6.53250i −0.0418231 + 0.264061i
\(613\) −15.6024 2.47118i −0.630175 0.0998099i −0.166827 0.985986i \(-0.553352\pi\)
−0.463348 + 0.886176i \(0.653352\pi\)
\(614\) −2.45682 + 3.38152i −0.0991491 + 0.136467i
\(615\) 36.8999 + 27.3253i 1.48795 + 1.10186i
\(616\) 0.423608 + 0.583046i 0.0170676 + 0.0234916i
\(617\) 14.1051 + 27.6828i 0.567850 + 1.11447i 0.979182 + 0.202983i \(0.0650636\pi\)
−0.411332 + 0.911485i \(0.634936\pi\)
\(618\) 2.11791 2.11791i 0.0851948 0.0851948i
\(619\) 35.3045 + 11.4711i 1.41901 + 0.461063i 0.915287 0.402803i \(-0.131964\pi\)
0.503721 + 0.863867i \(0.331964\pi\)
\(620\) 21.5916 21.2026i 0.867141 0.851516i
\(621\) 9.59306 3.11697i 0.384956 0.125080i
\(622\) −1.21887 + 2.39218i −0.0488724 + 0.0959175i
\(623\) 2.46878 0.391017i 0.0989098 0.0156658i
\(624\) 10.6638i 0.426893i
\(625\) −24.9835 0.908953i −0.999339 0.0363581i
\(626\) 3.67702i 0.146963i
\(627\) 3.76620 + 26.6404i 0.150408 + 1.06392i
\(628\) −8.24237 + 16.1766i −0.328907 + 0.645515i
\(629\) −8.25734 25.4135i −0.329242 1.01330i
\(630\) −0.136296 0.138797i −0.00543016 0.00552980i
\(631\) −5.09662 + 15.6858i −0.202893 + 0.624441i 0.796900 + 0.604111i \(0.206472\pi\)
−0.999793 + 0.0203302i \(0.993528\pi\)
\(632\) 5.22728 5.22728i 0.207930 0.207930i
\(633\) 4.50439 2.29510i 0.179034 0.0912221i
\(634\) −2.09270 2.88036i −0.0831118 0.114394i
\(635\) −3.97387 2.94276i −0.157698 0.116780i
\(636\) −9.80352 7.12267i −0.388735 0.282432i
\(637\) 9.67040 + 1.53164i 0.383155 + 0.0606858i
\(638\) 5.93783 + 0.940460i 0.235081 + 0.0372332i
\(639\) 5.48682 + 3.98641i 0.217055 + 0.157700i
\(640\) 16.1673 5.09104i 0.639068 0.201241i
\(641\) −8.42784 11.5999i −0.332880 0.458170i 0.609465 0.792813i \(-0.291384\pi\)
−0.942345 + 0.334643i \(0.891384\pi\)
\(642\) −2.38733 + 1.21641i −0.0942205 + 0.0480078i
\(643\) 4.12598 + 4.12598i 0.162713 + 0.162713i 0.783767 0.621055i \(-0.213295\pi\)
−0.621055 + 0.783767i \(0.713295\pi\)
\(644\) −1.33225 0.432874i −0.0524980 0.0170576i
\(645\) 28.2638 + 14.7263i 1.11289 + 0.579848i
\(646\) 2.63056 0.806586i 0.103498 0.0317347i
\(647\) −34.0555 17.3522i −1.33886 0.682183i −0.369824 0.929102i \(-0.620582\pi\)
−0.969036 + 0.246918i \(0.920582\pi\)
\(648\) −11.2614 + 1.78364i −0.442391 + 0.0700678i
\(649\) 32.2263 1.26499
\(650\) −0.0330687 + 1.81845i −0.00129706 + 0.0713256i
\(651\) 3.54270 0.138849
\(652\) 13.9554 2.21031i 0.546535 0.0865626i
\(653\) 15.3526 30.1312i 0.600794 1.17912i −0.367667 0.929958i \(-0.619843\pi\)
0.968461 0.249167i \(-0.0801567\pi\)
\(654\) −1.89244 5.82433i −0.0740003 0.227749i
\(655\) 9.16599 + 18.4009i 0.358145 + 0.718984i
\(656\) −33.5757 10.9094i −1.31091 0.425941i
\(657\) 15.4215 15.4215i 0.601648 0.601648i
\(658\) −0.0110237 0.0216352i −0.000429749 0.000843429i
\(659\) −15.0472 + 10.9324i −0.586156 + 0.425867i −0.840938 0.541131i \(-0.817996\pi\)
0.254782 + 0.966998i \(0.417996\pi\)
\(660\) −26.6852 0.242616i −1.03872 0.00944381i
\(661\) 19.9509 27.4601i 0.776001 1.06807i −0.219711 0.975565i \(-0.570511\pi\)
0.995712 0.0925089i \(-0.0294887\pi\)
\(662\) −1.46536 + 9.25193i −0.0569529 + 0.359586i
\(663\) 7.15020 + 1.13248i 0.277691 + 0.0439819i
\(664\) 8.25322 + 5.99631i 0.320287 + 0.232702i
\(665\) 0.784279 2.21790i 0.0304130 0.0860067i
\(666\) −3.18356 + 2.31299i −0.123360 + 0.0896266i
\(667\) −21.1816 + 10.7926i −0.820155 + 0.417890i
\(668\) −22.1101 + 22.1101i −0.855464 + 0.855464i
\(669\) 0.222269 + 0.0722197i 0.00859343 + 0.00279218i
\(670\) 5.93612 + 0.995593i 0.229332 + 0.0384631i
\(671\) −1.81430 5.58384i −0.0700402 0.215562i
\(672\) 1.33430 + 0.679861i 0.0514718 + 0.0262262i
\(673\) −20.2768 + 3.21154i −0.781615 + 0.123796i −0.534475 0.845184i \(-0.679491\pi\)
−0.247140 + 0.968980i \(0.579491\pi\)
\(674\) 2.44054i 0.0940062i
\(675\) −16.6397 + 2.32618i −0.640462 + 0.0895346i
\(676\) 21.2890 0.818806
\(677\) 3.15430 + 19.9155i 0.121230 + 0.765414i 0.971144 + 0.238493i \(0.0766535\pi\)
−0.849915 + 0.526921i \(0.823347\pi\)
\(678\) 5.63115 + 2.86922i 0.216263 + 0.110192i
\(679\) −0.730275 2.24756i −0.0280254 0.0862533i
\(680\) 0.818627 + 5.49127i 0.0313929 + 0.210580i
\(681\) 6.07386 18.6934i 0.232751 0.716334i
\(682\) −3.75706 + 3.75706i −0.143865 + 0.143865i
\(683\) 9.40201 + 18.4525i 0.359758 + 0.706065i 0.997963 0.0638019i \(-0.0203226\pi\)
−0.638205 + 0.769867i \(0.720323\pi\)
\(684\) 6.76391 + 9.64314i 0.258625 + 0.368715i
\(685\) −15.2897 21.4520i −0.584190 0.819637i
\(686\) −0.510093 + 0.702083i −0.0194754 + 0.0268057i
\(687\) −9.27686 1.46931i −0.353934 0.0560577i
\(688\) −24.2024 3.83329i −0.922710 0.146143i
\(689\) −2.47770 + 3.41027i −0.0943930 + 0.129921i
\(690\) −2.95606 + 2.10691i −0.112535 + 0.0802086i
\(691\) −25.2642 + 18.3555i −0.961094 + 0.698276i −0.953405 0.301695i \(-0.902448\pi\)
−0.00768951 + 0.999970i \(0.502448\pi\)
\(692\) −13.1021 + 6.67583i −0.498066 + 0.253777i
\(693\) −0.702081 0.702081i −0.0266699 0.0266699i
\(694\) 0.939202 2.89057i 0.0356516 0.109724i
\(695\) −1.56834 10.5203i −0.0594905 0.399056i
\(696\) 16.0231 5.20622i 0.607354 0.197341i
\(697\) 10.8806 21.3543i 0.412131 0.808853i
\(698\) −6.48834 + 1.02765i −0.245587 + 0.0388972i
\(699\) 38.2877 1.44817
\(700\) 2.05941 + 1.09694i 0.0778385 + 0.0414603i
\(701\) 33.7995 1.27659 0.638295 0.769792i \(-0.279640\pi\)
0.638295 + 0.769792i \(0.279640\pi\)
\(702\) 0.191212 + 1.20726i 0.00721683 + 0.0455653i
\(703\) −42.0362 22.3071i −1.58542 0.841329i
\(704\) 18.0494 5.86460i 0.680262 0.221031i
\(705\) 1.80400 + 0.302562i 0.0679425 + 0.0113952i
\(706\) 0.926743 + 0.301117i 0.0348784 + 0.0113327i
\(707\) 0.574208 0.574208i 0.0215953 0.0215953i
\(708\) 39.5538 20.1537i 1.48652 0.757421i
\(709\) −7.15361 9.84611i −0.268660 0.369778i 0.653277 0.757119i \(-0.273394\pi\)
−0.921937 + 0.387341i \(0.873394\pi\)
\(710\) 2.65348 + 0.888920i 0.0995835 + 0.0333606i
\(711\) −5.98642 + 8.23960i −0.224508 + 0.309009i
\(712\) −1.64345 + 10.3763i −0.0615909 + 0.388870i
\(713\) 3.28675 20.7517i 0.123090 0.777157i
\(714\) −0.187791 + 0.258472i −0.00702790 + 0.00967308i
\(715\) −0.0843967 + 9.28275i −0.00315626 + 0.347155i
\(716\) 23.8562 + 32.8352i 0.891546 + 1.22711i
\(717\) 13.9269 7.09611i 0.520110 0.265009i
\(718\) −3.10867 + 3.10867i −0.116014 + 0.116014i
\(719\) −28.1417 9.14378i −1.04951 0.341006i −0.267032 0.963688i \(-0.586043\pi\)
−0.782475 + 0.622682i \(0.786043\pi\)
\(720\) −10.0852 + 5.02373i −0.375855 + 0.187223i
\(721\) −1.27127 + 0.413061i −0.0473446 + 0.0153832i
\(722\) 2.36861 4.28956i 0.0881507 0.159641i
\(723\) 0.309410 + 1.95354i 0.0115071 + 0.0726528i
\(724\) 36.9503 1.37325
\(725\) 37.8764 11.5498i 1.40669 0.428947i
\(726\) −1.26349 −0.0468924
\(727\) 24.7416 3.91868i 0.917614 0.145336i 0.320275 0.947325i \(-0.396225\pi\)
0.597339 + 0.801989i \(0.296225\pi\)
\(728\) 0.156781 0.307701i 0.00581070 0.0114041i
\(729\) −5.16591 + 1.67851i −0.191330 + 0.0621669i
\(730\) 4.15815 7.98062i 0.153900 0.295376i
\(731\) 5.14053 15.8209i 0.190129 0.585158i
\(732\) −5.71883 5.71883i −0.211374 0.211374i
\(733\) −40.2400 + 20.5033i −1.48630 + 0.757307i −0.993607 0.112896i \(-0.963987\pi\)
−0.492692 + 0.870204i \(0.663987\pi\)
\(734\) −2.87013 + 2.08527i −0.105938 + 0.0769688i
\(735\) −9.77689 31.0478i −0.360626 1.14522i
\(736\) 5.22025 7.18505i 0.192421 0.264845i
\(737\) 30.3436 + 4.80595i 1.11772 + 0.177029i
\(738\) −3.48596 0.552122i −0.128320 0.0203239i
\(739\) 12.4974 17.2013i 0.459726 0.632759i −0.514726 0.857355i \(-0.672106\pi\)
0.974452 + 0.224596i \(0.0721063\pi\)
\(740\) 28.0900 37.9325i 1.03261 1.39443i
\(741\) 10.5550 7.40349i 0.387747 0.271974i
\(742\) −0.0844569 0.165756i −0.00310051 0.00608510i
\(743\) −6.86396 + 6.86396i −0.251814 + 0.251814i −0.821714 0.569900i \(-0.806982\pi\)
0.569900 + 0.821714i \(0.306982\pi\)
\(744\) −4.60127 + 14.1613i −0.168691 + 0.519177i
\(745\) 2.41633 + 2.46067i 0.0885273 + 0.0901518i
\(746\) −2.16450 6.66164i −0.0792479 0.243900i
\(747\) −12.5229 6.38072i −0.458188 0.233458i
\(748\) 2.17902 + 13.7578i 0.0796730 + 0.503036i
\(749\) 1.19575 0.0436918
\(750\) 5.46042 2.59715i 0.199386 0.0948346i
\(751\) 19.0078i 0.693606i 0.937938 + 0.346803i \(0.112733\pi\)
−0.937938 + 0.346803i \(0.887267\pi\)
\(752\) −1.38910 + 0.220013i −0.0506554 + 0.00802303i
\(753\) −4.00950 2.04294i −0.146114 0.0744489i
\(754\) −0.890210 2.73978i −0.0324195 0.0997770i
\(755\) 10.6846 + 10.8806i 0.388851 + 0.395986i
\(756\) 1.49139 + 0.484583i 0.0542414 + 0.0176241i
\(757\) 12.2339 12.2339i 0.444649 0.444649i −0.448922 0.893571i \(-0.648192\pi\)
0.893571 + 0.448922i \(0.148192\pi\)
\(758\) 7.30456 3.72186i 0.265314 0.135184i
\(759\) −14.9897 + 10.8906i −0.544090 + 0.395304i
\(760\) 7.84701 + 6.01562i 0.284641 + 0.218210i
\(761\) −28.2353 20.5142i −1.02353 0.743638i −0.0565261 0.998401i \(-0.518002\pi\)
−0.967003 + 0.254763i \(0.918002\pi\)
\(762\) 1.18126 + 0.187093i 0.0427924 + 0.00677765i
\(763\) −0.427545 + 2.69941i −0.0154782 + 0.0977252i
\(764\) −5.76057 + 7.92874i −0.208410 + 0.286852i
\(765\) −2.29743 7.29579i −0.0830637 0.263780i
\(766\) 4.87834 3.54433i 0.176262 0.128062i
\(767\) −7.01068 13.7592i −0.253141 0.496817i
\(768\) 16.2228 16.2228i 0.585391 0.585391i
\(769\) 15.2108 + 4.94230i 0.548517 + 0.178224i 0.570148 0.821542i \(-0.306886\pi\)
−0.0216308 + 0.999766i \(0.506886\pi\)
\(770\) −0.363328 0.189305i −0.0130934 0.00682208i
\(771\) 18.7593 + 57.7352i 0.675599 + 2.07928i
\(772\) −15.4906 + 30.4020i −0.557519 + 1.09419i
\(773\) 22.7531 3.60374i 0.818372 0.129617i 0.266808