Properties

Label 300.2.n.a.11.5
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.5
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38528 - 0.284622i) q^{2} +(1.64016 + 0.556662i) q^{3} +(1.83798 + 0.788561i) q^{4} +(1.45398 + 1.69881i) q^{5} +(-2.11364 - 1.23796i) q^{6} -2.78321i q^{7} +(-2.32167 - 1.61550i) q^{8} +(2.38025 + 1.82603i) q^{9} +O(q^{10})\) \(q+(-1.38528 - 0.284622i) q^{2} +(1.64016 + 0.556662i) q^{3} +(1.83798 + 0.788561i) q^{4} +(1.45398 + 1.69881i) q^{5} +(-2.11364 - 1.23796i) q^{6} -2.78321i q^{7} +(-2.32167 - 1.61550i) q^{8} +(2.38025 + 1.82603i) q^{9} +(-1.53064 - 2.76716i) q^{10} +(3.44703 - 2.50441i) q^{11} +(2.57562 + 2.31650i) q^{12} +(0.188992 + 0.137311i) q^{13} +(-0.792164 + 3.85552i) q^{14} +(1.43909 + 3.59569i) q^{15} +(2.75634 + 2.89872i) q^{16} +(-2.43212 + 0.790243i) q^{17} +(-2.77758 - 3.20703i) q^{18} +(-7.47793 + 2.42973i) q^{19} +(1.33276 + 4.26893i) q^{20} +(1.54931 - 4.56492i) q^{21} +(-5.48789 + 2.48820i) q^{22} +(2.43562 - 1.76958i) q^{23} +(-2.90862 - 3.94207i) q^{24} +(-0.771913 + 4.94006i) q^{25} +(-0.222725 - 0.244005i) q^{26} +(2.88752 + 4.31998i) q^{27} +(2.19473 - 5.11549i) q^{28} +(5.68764 + 1.84803i) q^{29} +(-0.970122 - 5.39063i) q^{30} +(2.25520 - 0.732759i) q^{31} +(-2.99326 - 4.80004i) q^{32} +(7.04779 - 2.18881i) q^{33} +(3.59408 - 0.402470i) q^{34} +(4.72815 - 4.04672i) q^{35} +(2.93492 + 5.23318i) q^{36} +(-3.01910 - 2.19350i) q^{37} +(11.0505 - 1.23746i) q^{38} +(0.233542 + 0.330417i) q^{39} +(-0.631212 - 6.29298i) q^{40} +(-6.28532 + 8.65100i) q^{41} +(-3.44550 + 5.88270i) q^{42} -6.67397i q^{43} +(8.31045 - 1.88487i) q^{44} +(0.358751 + 6.69860i) q^{45} +(-3.87766 + 1.75812i) q^{46} +(0.254574 - 0.783497i) q^{47} +(2.90724 + 6.28872i) q^{48} -0.746275 q^{49} +(2.47536 - 6.62364i) q^{50} +(-4.42896 - 0.0577424i) q^{51} +(0.239086 + 0.401407i) q^{52} +(-9.82645 - 3.19281i) q^{53} +(-2.77045 - 6.80622i) q^{54} +(9.26641 + 2.21449i) q^{55} +(-4.49629 + 6.46170i) q^{56} +(-13.6175 - 0.177538i) q^{57} +(-7.35296 - 4.17886i) q^{58} +(-3.95820 - 2.87580i) q^{59} +(-0.190406 + 7.74363i) q^{60} +(9.01180 - 6.54745i) q^{61} +(-3.33263 + 0.373193i) q^{62} +(5.08223 - 6.62476i) q^{63} +(2.78029 + 7.50133i) q^{64} +(0.0415248 + 0.520709i) q^{65} +(-10.3861 + 1.02615i) q^{66} +(-9.48059 + 3.08043i) q^{67} +(-5.09334 - 0.465422i) q^{68} +(4.97986 - 1.54658i) q^{69} +(-7.70158 + 4.26009i) q^{70} +(-1.64778 + 5.07136i) q^{71} +(-2.57620 - 8.08475i) q^{72} +(-4.15362 + 3.01778i) q^{73} +(3.55796 + 3.89791i) q^{74} +(-4.01600 + 7.67279i) q^{75} +(-15.6603 - 1.43101i) q^{76} +(-6.97031 - 9.59381i) q^{77} +(-0.229476 - 0.524190i) q^{78} +(-7.14793 - 2.32250i) q^{79} +(-0.916719 + 8.89717i) q^{80} +(2.33122 + 8.69284i) q^{81} +(11.1692 - 10.1951i) q^{82} +(-0.275249 - 0.847131i) q^{83} +(6.44731 - 7.16850i) q^{84} +(-4.87871 - 2.98271i) q^{85} +(-1.89956 + 9.24529i) q^{86} +(8.29992 + 6.19716i) q^{87} +(-12.0487 + 0.245725i) q^{88} +(-0.121578 - 0.167338i) q^{89} +(1.40960 - 9.38153i) q^{90} +(0.382166 - 0.526006i) q^{91} +(5.87203 - 1.33182i) q^{92} +(4.10679 + 0.0535420i) q^{93} +(-0.575655 + 1.01290i) q^{94} +(-15.0004 - 9.17082i) q^{95} +(-2.23742 - 9.53907i) q^{96} +(0.309854 - 0.953633i) q^{97} +(1.03380 + 0.212406i) q^{98} +(12.7779 + 0.333240i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38528 0.284622i −0.979538 0.201258i
\(3\) 1.64016 + 0.556662i 0.946947 + 0.321389i
\(4\) 1.83798 + 0.788561i 0.918990 + 0.394280i
\(5\) 1.45398 + 1.69881i 0.650237 + 0.759731i
\(6\) −2.11364 1.23796i −0.862889 0.505394i
\(7\) 2.78321i 1.05196i −0.850498 0.525978i \(-0.823699\pi\)
0.850498 0.525978i \(-0.176301\pi\)
\(8\) −2.32167 1.61550i −0.820834 0.571167i
\(9\) 2.38025 + 1.82603i 0.793418 + 0.608677i
\(10\) −1.53064 2.76716i −0.484030 0.875051i
\(11\) 3.44703 2.50441i 1.03932 0.755108i 0.0691653 0.997605i \(-0.477966\pi\)
0.970152 + 0.242497i \(0.0779664\pi\)
\(12\) 2.57562 + 2.31650i 0.743518 + 0.668716i
\(13\) 0.188992 + 0.137311i 0.0524170 + 0.0380832i 0.613685 0.789551i \(-0.289686\pi\)
−0.561268 + 0.827634i \(0.689686\pi\)
\(14\) −0.792164 + 3.85552i −0.211715 + 1.03043i
\(15\) 1.43909 + 3.59569i 0.371571 + 0.928404i
\(16\) 2.75634 + 2.89872i 0.689086 + 0.724680i
\(17\) −2.43212 + 0.790243i −0.589875 + 0.191662i −0.588720 0.808337i \(-0.700368\pi\)
−0.00115566 + 0.999999i \(0.500368\pi\)
\(18\) −2.77758 3.20703i −0.654682 0.755904i
\(19\) −7.47793 + 2.42973i −1.71555 + 0.557417i −0.991242 0.132055i \(-0.957842\pi\)
−0.724312 + 0.689473i \(0.757842\pi\)
\(20\) 1.33276 + 4.26893i 0.298015 + 0.954561i
\(21\) 1.54931 4.56492i 0.338087 0.996147i
\(22\) −5.48789 + 2.48820i −1.17002 + 0.530486i
\(23\) 2.43562 1.76958i 0.507861 0.368983i −0.304151 0.952624i \(-0.598373\pi\)
0.812012 + 0.583641i \(0.198373\pi\)
\(24\) −2.90862 3.94207i −0.593719 0.804672i
\(25\) −0.771913 + 4.94006i −0.154383 + 0.988011i
\(26\) −0.222725 0.244005i −0.0436799 0.0478533i
\(27\) 2.88752 + 4.31998i 0.555703 + 0.831381i
\(28\) 2.19473 5.11549i 0.414766 0.966737i
\(29\) 5.68764 + 1.84803i 1.05617 + 0.343170i 0.785086 0.619386i \(-0.212619\pi\)
0.271082 + 0.962556i \(0.412619\pi\)
\(30\) −0.970122 5.39063i −0.177119 0.984189i
\(31\) 2.25520 0.732759i 0.405046 0.131607i −0.0994066 0.995047i \(-0.531694\pi\)
0.504452 + 0.863440i \(0.331694\pi\)
\(32\) −2.99326 4.80004i −0.529138 0.848536i
\(33\) 7.04779 2.18881i 1.22686 0.381023i
\(34\) 3.59408 0.402470i 0.616379 0.0690230i
\(35\) 4.72815 4.04672i 0.799203 0.684021i
\(36\) 2.93492 + 5.23318i 0.489154 + 0.872197i
\(37\) −3.01910 2.19350i −0.496337 0.360610i 0.311279 0.950318i \(-0.399243\pi\)
−0.807616 + 0.589709i \(0.799243\pi\)
\(38\) 11.0505 1.23746i 1.79264 0.200742i
\(39\) 0.233542 + 0.330417i 0.0373966 + 0.0529090i
\(40\) −0.631212 6.29298i −0.0998034 0.995007i
\(41\) −6.28532 + 8.65100i −0.981602 + 1.35106i −0.0456408 + 0.998958i \(0.514533\pi\)
−0.935962 + 0.352102i \(0.885467\pi\)
\(42\) −3.44550 + 5.88270i −0.531652 + 0.907721i
\(43\) 6.67397i 1.01777i −0.860834 0.508885i \(-0.830058\pi\)
0.860834 0.508885i \(-0.169942\pi\)
\(44\) 8.31045 1.88487i 1.25285 0.284155i
\(45\) 0.358751 + 6.69860i 0.0534795 + 0.998569i
\(46\) −3.87766 + 1.75812i −0.571730 + 0.259221i
\(47\) 0.254574 0.783497i 0.0371334 0.114285i −0.930772 0.365601i \(-0.880863\pi\)
0.967905 + 0.251316i \(0.0808634\pi\)
\(48\) 2.90724 + 6.28872i 0.419624 + 0.907698i
\(49\) −0.746275 −0.106611
\(50\) 2.47536 6.62364i 0.350069 0.936724i
\(51\) −4.42896 0.0577424i −0.620179 0.00808555i
\(52\) 0.239086 + 0.401407i 0.0331553 + 0.0556651i
\(53\) −9.82645 3.19281i −1.34977 0.438566i −0.457153 0.889388i \(-0.651131\pi\)
−0.892614 + 0.450822i \(0.851131\pi\)
\(54\) −2.77045 6.80622i −0.377010 0.926209i
\(55\) 9.26641 + 2.21449i 1.24948 + 0.298602i
\(56\) −4.49629 + 6.46170i −0.600843 + 0.863481i
\(57\) −13.6175 0.177538i −1.80369 0.0235155i
\(58\) −7.35296 4.17886i −0.965492 0.548711i
\(59\) −3.95820 2.87580i −0.515313 0.374397i 0.299522 0.954089i \(-0.403173\pi\)
−0.814835 + 0.579692i \(0.803173\pi\)
\(60\) −0.190406 + 7.74363i −0.0245813 + 0.999698i
\(61\) 9.01180 6.54745i 1.15384 0.838316i 0.164855 0.986318i \(-0.447284\pi\)
0.988987 + 0.148002i \(0.0472843\pi\)
\(62\) −3.33263 + 0.373193i −0.423245 + 0.0473956i
\(63\) 5.08223 6.62476i 0.640301 0.834641i
\(64\) 2.78029 + 7.50133i 0.347536 + 0.937667i
\(65\) 0.0415248 + 0.520709i 0.00515052 + 0.0645860i
\(66\) −10.3861 + 1.02615i −1.27844 + 0.126310i
\(67\) −9.48059 + 3.08043i −1.15824 + 0.376335i −0.824241 0.566239i \(-0.808398\pi\)
−0.333998 + 0.942574i \(0.608398\pi\)
\(68\) −5.09334 0.465422i −0.617658 0.0564407i
\(69\) 4.97986 1.54658i 0.599504 0.186186i
\(70\) −7.70158 + 4.26009i −0.920515 + 0.509178i
\(71\) −1.64778 + 5.07136i −0.195556 + 0.601859i 0.804414 + 0.594070i \(0.202480\pi\)
−0.999970 + 0.00778982i \(0.997520\pi\)
\(72\) −2.57620 8.08475i −0.303608 0.952797i
\(73\) −4.15362 + 3.01778i −0.486145 + 0.353205i −0.803700 0.595035i \(-0.797138\pi\)
0.317555 + 0.948240i \(0.397138\pi\)
\(74\) 3.55796 + 3.89791i 0.413605 + 0.453123i
\(75\) −4.01600 + 7.67279i −0.463728 + 0.885978i
\(76\) −15.6603 1.43101i −1.79636 0.164148i
\(77\) −6.97031 9.59381i −0.794341 1.09332i
\(78\) −0.229476 0.524190i −0.0259830 0.0593528i
\(79\) −7.14793 2.32250i −0.804205 0.261302i −0.122064 0.992522i \(-0.538951\pi\)
−0.682142 + 0.731220i \(0.738951\pi\)
\(80\) −0.916719 + 8.89717i −0.102492 + 0.994734i
\(81\) 2.33122 + 8.69284i 0.259025 + 0.965871i
\(82\) 11.1692 10.1951i 1.23343 1.12586i
\(83\) −0.275249 0.847131i −0.0302126 0.0929847i 0.934813 0.355140i \(-0.115567\pi\)
−0.965026 + 0.262155i \(0.915567\pi\)
\(84\) 6.44731 7.16850i 0.703460 0.782148i
\(85\) −4.87871 2.98271i −0.529171 0.323521i
\(86\) −1.89956 + 9.24529i −0.204835 + 0.996945i
\(87\) 8.29992 + 6.19716i 0.889845 + 0.664405i
\(88\) −12.0487 + 0.245725i −1.28440 + 0.0261943i
\(89\) −0.121578 0.167338i −0.0128872 0.0177378i 0.802525 0.596619i \(-0.203490\pi\)
−0.815412 + 0.578881i \(0.803490\pi\)
\(90\) 1.40960 9.38153i 0.148585 0.988900i
\(91\) 0.382166 0.526006i 0.0400618 0.0551404i
\(92\) 5.87203 1.33182i 0.612202 0.138852i
\(93\) 4.10679 + 0.0535420i 0.425854 + 0.00555205i
\(94\) −0.575655 + 1.01290i −0.0593743 + 0.104473i
\(95\) −15.0004 9.17082i −1.53900 0.940906i
\(96\) −2.23742 9.53907i −0.228356 0.973578i
\(97\) 0.309854 0.953633i 0.0314609 0.0968267i −0.934093 0.357030i \(-0.883789\pi\)
0.965554 + 0.260203i \(0.0837895\pi\)
\(98\) 1.03380 + 0.212406i 0.104429 + 0.0214563i
\(99\) 12.7779 + 0.333240i 1.28423 + 0.0334919i
\(100\) −5.31430 + 8.47103i −0.531430 + 0.847103i
\(101\) 3.48226i 0.346498i −0.984878 0.173249i \(-0.944573\pi\)
0.984878 0.173249i \(-0.0554265\pi\)
\(102\) 6.11890 + 1.34057i 0.605862 + 0.132736i
\(103\) 0.130543 + 0.0424160i 0.0128628 + 0.00417937i 0.315441 0.948945i \(-0.397847\pi\)
−0.302579 + 0.953124i \(0.597847\pi\)
\(104\) −0.216951 0.624108i −0.0212738 0.0611989i
\(105\) 10.0076 4.00529i 0.976640 0.390877i
\(106\) 12.7036 + 7.21975i 1.23388 + 0.701244i
\(107\) −10.0979 −0.976202 −0.488101 0.872787i \(-0.662310\pi\)
−0.488101 + 0.872787i \(0.662310\pi\)
\(108\) 1.90063 + 10.2170i 0.182888 + 0.983134i
\(109\) −11.4457 8.31582i −1.09630 0.796511i −0.115851 0.993267i \(-0.536959\pi\)
−0.980453 + 0.196756i \(0.936959\pi\)
\(110\) −12.2062 5.70511i −1.16382 0.543961i
\(111\) −3.73076 5.27831i −0.354109 0.500995i
\(112\) 8.06775 7.67149i 0.762331 0.724888i
\(113\) 10.3385 14.2297i 0.972561 1.33862i 0.0318188 0.999494i \(-0.489870\pi\)
0.940742 0.339122i \(-0.110130\pi\)
\(114\) 18.8135 + 4.12179i 1.76205 + 0.386041i
\(115\) 6.54750 + 1.56473i 0.610558 + 0.145911i
\(116\) 8.99649 + 7.88169i 0.835303 + 0.731796i
\(117\) 0.199116 + 0.671941i 0.0184083 + 0.0621209i
\(118\) 4.66468 + 5.11037i 0.429419 + 0.470447i
\(119\) 2.19942 + 6.76910i 0.201620 + 0.620523i
\(120\) 2.46777 10.6729i 0.225276 0.974295i
\(121\) 2.21073 6.80392i 0.200975 0.618538i
\(122\) −14.3474 + 6.50507i −1.29895 + 0.588942i
\(123\) −15.1246 + 10.6902i −1.36374 + 0.963906i
\(124\) 4.72284 + 0.431566i 0.424123 + 0.0387558i
\(125\) −9.51456 + 5.87138i −0.851008 + 0.525153i
\(126\) −8.92585 + 7.73060i −0.795178 + 0.688697i
\(127\) 10.6494 + 14.6576i 0.944980 + 1.30065i 0.953721 + 0.300692i \(0.0972176\pi\)
−0.00874107 + 0.999962i \(0.502782\pi\)
\(128\) −1.71642 11.1828i −0.151712 0.988425i
\(129\) 3.71515 10.9464i 0.327100 0.963775i
\(130\) 0.0906819 0.733144i 0.00795333 0.0643010i
\(131\) 2.05829 + 6.33478i 0.179834 + 0.553472i 0.999821 0.0189098i \(-0.00601953\pi\)
−0.819987 + 0.572382i \(0.806020\pi\)
\(132\) 14.6797 + 1.53462i 1.27770 + 0.133572i
\(133\) 6.76244 + 20.8127i 0.586378 + 1.80469i
\(134\) 14.0100 1.56886i 1.21028 0.135529i
\(135\) −3.14045 + 11.1865i −0.270287 + 0.962780i
\(136\) 6.92322 + 2.09442i 0.593661 + 0.179595i
\(137\) −3.36459 + 4.63096i −0.287456 + 0.395650i −0.928186 0.372117i \(-0.878632\pi\)
0.640730 + 0.767767i \(0.278632\pi\)
\(138\) −7.33867 + 0.725059i −0.624709 + 0.0617211i
\(139\) 0.701692 + 0.965796i 0.0595167 + 0.0819178i 0.837738 0.546073i \(-0.183878\pi\)
−0.778221 + 0.627990i \(0.783878\pi\)
\(140\) 11.8813 3.70936i 1.00416 0.313498i
\(141\) 0.853685 1.14335i 0.0718932 0.0962874i
\(142\) 3.72606 6.55623i 0.312684 0.550187i
\(143\) 0.995344 0.0832349
\(144\) 1.26765 + 11.9329i 0.105637 + 0.994405i
\(145\) 5.13024 + 12.3492i 0.426043 + 1.02555i
\(146\) 6.61284 2.99825i 0.547283 0.248137i
\(147\) −1.22401 0.415423i −0.100955 0.0342635i
\(148\) −3.81933 6.41236i −0.313947 0.527092i
\(149\) 17.8146i 1.45943i −0.683753 0.729714i \(-0.739653\pi\)
0.683753 0.729714i \(-0.260347\pi\)
\(150\) 7.74712 9.48589i 0.632550 0.774520i
\(151\) 17.4150i 1.41721i −0.705605 0.708605i \(-0.749325\pi\)
0.705605 0.708605i \(-0.250675\pi\)
\(152\) 21.2865 + 6.43961i 1.72656 + 0.522321i
\(153\) −7.23207 2.56014i −0.584678 0.206975i
\(154\) 6.92519 + 15.2740i 0.558048 + 1.23081i
\(155\) 4.52382 + 2.76574i 0.363362 + 0.222150i
\(156\) 0.168692 + 0.791462i 0.0135061 + 0.0633676i
\(157\) 12.6908 1.01284 0.506419 0.862287i \(-0.330969\pi\)
0.506419 + 0.862287i \(0.330969\pi\)
\(158\) 9.24082 + 5.25177i 0.735161 + 0.417808i
\(159\) −14.3396 10.7067i −1.13721 0.849099i
\(160\) 3.80224 12.0641i 0.300594 0.953752i
\(161\) −4.92511 6.77884i −0.388153 0.534247i
\(162\) −0.755214 12.7055i −0.0593352 0.998238i
\(163\) −3.78225 + 5.20582i −0.296248 + 0.407751i −0.931031 0.364940i \(-0.881090\pi\)
0.634783 + 0.772691i \(0.281090\pi\)
\(164\) −18.3741 + 10.9440i −1.43478 + 0.854584i
\(165\) 13.9657 + 8.79038i 1.08723 + 0.684330i
\(166\) 0.140184 + 1.25185i 0.0108804 + 0.0971626i
\(167\) −5.79612 17.8386i −0.448517 1.38039i −0.878580 0.477595i \(-0.841509\pi\)
0.430063 0.902799i \(-0.358491\pi\)
\(168\) −10.9716 + 8.09531i −0.846479 + 0.624566i
\(169\) −4.00036 12.3118i −0.307720 0.947064i
\(170\) 5.90942 + 5.52047i 0.453232 + 0.423401i
\(171\) −22.2361 7.87156i −1.70044 0.601953i
\(172\) 5.26283 12.2666i 0.401287 0.935321i
\(173\) 8.54610 + 11.7627i 0.649748 + 0.894301i 0.999088 0.0426947i \(-0.0135943\pi\)
−0.349340 + 0.936996i \(0.613594\pi\)
\(174\) −9.73383 10.9471i −0.737920 0.829899i
\(175\) 13.7492 + 2.14840i 1.03934 + 0.162404i
\(176\) 16.7608 + 3.08894i 1.26339 + 0.232838i
\(177\) −4.89123 6.92015i −0.367648 0.520150i
\(178\) 0.120791 + 0.266413i 0.00905367 + 0.0199685i
\(179\) −2.40384 + 7.39825i −0.179671 + 0.552971i −0.999816 0.0191848i \(-0.993893\pi\)
0.820145 + 0.572156i \(0.193893\pi\)
\(180\) −4.62288 + 12.5948i −0.344569 + 0.938761i
\(181\) 2.41158 + 7.42207i 0.179251 + 0.551678i 0.999802 0.0198951i \(-0.00633324\pi\)
−0.820551 + 0.571573i \(0.806333\pi\)
\(182\) −0.679118 + 0.619890i −0.0503396 + 0.0459493i
\(183\) 18.4255 5.72235i 1.36205 0.423008i
\(184\) −8.51345 + 0.173625i −0.627620 + 0.0127998i
\(185\) −0.663348 8.31817i −0.0487703 0.611564i
\(186\) −5.67380 1.24305i −0.416023 0.0911451i
\(187\) −6.40448 + 8.81502i −0.468342 + 0.644618i
\(188\) 1.08574 1.23931i 0.0791855 0.0903856i
\(189\) 12.0234 8.03658i 0.874576 0.584575i
\(190\) 18.1694 + 16.9736i 1.31815 + 1.23139i
\(191\) 1.96142 + 1.42506i 0.141924 + 0.103114i 0.656482 0.754342i \(-0.272044\pi\)
−0.514558 + 0.857456i \(0.672044\pi\)
\(192\) 0.384412 + 13.8511i 0.0277425 + 0.999615i
\(193\) 21.5896 1.55405 0.777026 0.629469i \(-0.216727\pi\)
0.777026 + 0.629469i \(0.216727\pi\)
\(194\) −0.700659 + 1.23285i −0.0503044 + 0.0885137i
\(195\) −0.221751 + 0.877161i −0.0158799 + 0.0628148i
\(196\) −1.37164 0.588483i −0.0979742 0.0420345i
\(197\) 13.0369 + 4.23594i 0.928839 + 0.301798i 0.734088 0.679055i \(-0.237610\pi\)
0.194751 + 0.980853i \(0.437610\pi\)
\(198\) −17.6061 4.09851i −1.25121 0.291269i
\(199\) 9.57285i 0.678601i −0.940678 0.339301i \(-0.889810\pi\)
0.940678 0.339301i \(-0.110190\pi\)
\(200\) 9.77281 10.2221i 0.691042 0.722815i
\(201\) −17.2645 0.225084i −1.21774 0.0158762i
\(202\) −0.991129 + 4.82390i −0.0697356 + 0.339408i
\(203\) 5.14345 15.8299i 0.361000 1.11104i
\(204\) −8.09482 3.59864i −0.566750 0.251955i
\(205\) −23.8351 + 1.90077i −1.66472 + 0.132756i
\(206\) −0.168766 0.0959133i −0.0117585 0.00668260i
\(207\) 9.02869 + 0.235462i 0.627537 + 0.0163657i
\(208\) 0.122902 + 0.926311i 0.00852171 + 0.0642281i
\(209\) −19.6916 + 27.1031i −1.36209 + 1.87476i
\(210\) −15.0033 + 2.70006i −1.03532 + 0.186322i
\(211\) −0.104958 0.144462i −0.00722557 0.00994515i 0.805389 0.592747i \(-0.201956\pi\)
−0.812614 + 0.582802i \(0.801956\pi\)
\(212\) −15.5431 13.6171i −1.06750 0.935225i
\(213\) −5.52566 + 7.40058i −0.378612 + 0.507080i
\(214\) 13.9884 + 2.87409i 0.956227 + 0.196469i
\(215\) 11.3378 9.70378i 0.773232 0.661793i
\(216\) 0.275092 14.6944i 0.0187176 0.999825i
\(217\) −2.03942 6.27670i −0.138445 0.426090i
\(218\) 13.4886 + 14.7774i 0.913566 + 1.00085i
\(219\) −8.49250 + 2.63749i −0.573870 + 0.178225i
\(220\) 15.2852 + 11.3773i 1.03053 + 0.767059i
\(221\) −0.568161 0.184607i −0.0382186 0.0124180i
\(222\) 3.66581 + 8.37378i 0.246033 + 0.562011i
\(223\) 0.473036 + 0.651078i 0.0316768 + 0.0435994i 0.824562 0.565772i \(-0.191422\pi\)
−0.792885 + 0.609372i \(0.791422\pi\)
\(224\) −13.3595 + 8.33087i −0.892622 + 0.556630i
\(225\) −10.8580 + 10.3491i −0.723869 + 0.689937i
\(226\) −18.3717 + 16.7695i −1.22207 + 1.11549i
\(227\) −12.4734 + 9.06243i −0.827886 + 0.601495i −0.918961 0.394349i \(-0.870970\pi\)
0.0910742 + 0.995844i \(0.470970\pi\)
\(228\) −24.8888 11.0646i −1.64830 0.732769i
\(229\) −1.53324 + 4.71882i −0.101319 + 0.311828i −0.988849 0.148922i \(-0.952420\pi\)
0.887530 + 0.460750i \(0.152420\pi\)
\(230\) −8.62474 4.03114i −0.568699 0.265806i
\(231\) −6.09192 19.6155i −0.400819 1.29060i
\(232\) −10.2193 13.4789i −0.670931 0.884934i
\(233\) −13.8757 + 4.50849i −0.909027 + 0.295361i −0.725958 0.687739i \(-0.758603\pi\)
−0.183069 + 0.983100i \(0.558603\pi\)
\(234\) −0.0845810 0.987496i −0.00552923 0.0645546i
\(235\) 1.70116 0.706713i 0.110971 0.0461009i
\(236\) −5.00735 8.40694i −0.325950 0.547245i
\(237\) −10.4309 7.78826i −0.677560 0.505902i
\(238\) −1.12016 10.0031i −0.0726092 0.648404i
\(239\) −8.68423 + 6.30946i −0.561736 + 0.408125i −0.832094 0.554635i \(-0.812858\pi\)
0.270358 + 0.962760i \(0.412858\pi\)
\(240\) −6.45628 + 14.0825i −0.416751 + 0.909021i
\(241\) 7.15238 + 5.19651i 0.460725 + 0.334737i 0.793816 0.608158i \(-0.208091\pi\)
−0.333090 + 0.942895i \(0.608091\pi\)
\(242\) −4.99902 + 8.79609i −0.321349 + 0.565434i
\(243\) −1.01539 + 15.5554i −0.0651374 + 0.997876i
\(244\) 21.7266 4.92774i 1.39090 0.315466i
\(245\) −1.08506 1.26778i −0.0693223 0.0809954i
\(246\) 23.9945 10.5041i 1.52983 0.669719i
\(247\) −1.74690 0.567602i −0.111152 0.0361156i
\(248\) −6.41960 1.94206i −0.407645 0.123321i
\(249\) 0.0201122 1.54265i 0.00127456 0.0977616i
\(250\) 14.8514 5.42543i 0.939286 0.343135i
\(251\) −0.847815 −0.0535136 −0.0267568 0.999642i \(-0.508518\pi\)
−0.0267568 + 0.999642i \(0.508518\pi\)
\(252\) 14.5651 8.16852i 0.917513 0.514568i
\(253\) 3.96388 12.1996i 0.249207 0.766980i
\(254\) −10.5805 23.3359i −0.663877 1.46423i
\(255\) −6.34151 7.60793i −0.397121 0.476427i
\(256\) −0.805143 + 15.9797i −0.0503214 + 0.998733i
\(257\) 12.3953i 0.773201i 0.922247 + 0.386600i \(0.126351\pi\)
−0.922247 + 0.386600i \(0.873649\pi\)
\(258\) −8.26209 + 14.1063i −0.514375 + 0.878223i
\(259\) −6.10498 + 8.40279i −0.379345 + 0.522124i
\(260\) −0.334289 + 0.989797i −0.0207317 + 0.0613846i
\(261\) 10.1635 + 14.7846i 0.629104 + 0.915143i
\(262\) −1.04829 9.36125i −0.0647634 0.578340i
\(263\) 12.1642 + 8.83784i 0.750079 + 0.544965i 0.895851 0.444354i \(-0.146567\pi\)
−0.145772 + 0.989318i \(0.546567\pi\)
\(264\) −19.8987 6.30405i −1.22468 0.387987i
\(265\) −8.86344 21.3355i −0.544477 1.31063i
\(266\) −3.44411 30.7560i −0.211172 1.88577i
\(267\) −0.106257 0.342139i −0.00650281 0.0209385i
\(268\) −19.8543 1.81425i −1.21279 0.110823i
\(269\) 9.79546 3.18274i 0.597240 0.194055i 0.00523083 0.999986i \(-0.498335\pi\)
0.592009 + 0.805931i \(0.298335\pi\)
\(270\) 7.53431 14.6025i 0.458524 0.888682i
\(271\) 9.69809 + 3.15110i 0.589117 + 0.191416i 0.588381 0.808584i \(-0.299766\pi\)
0.000736351 1.00000i \(0.499766\pi\)
\(272\) −8.99445 4.87185i −0.545369 0.295399i
\(273\) 0.919620 0.649997i 0.0556580 0.0393396i
\(274\) 5.97896 5.45752i 0.361202 0.329701i
\(275\) 9.71113 + 18.9617i 0.585603 + 1.14343i
\(276\) 10.3725 + 1.08434i 0.624348 + 0.0652697i
\(277\) −12.1723 + 8.84371i −0.731364 + 0.531367i −0.889995 0.455971i \(-0.849292\pi\)
0.158630 + 0.987338i \(0.449292\pi\)
\(278\) −0.697150 1.53761i −0.0418123 0.0922198i
\(279\) 6.70599 + 2.37391i 0.401477 + 0.142122i
\(280\) −17.5147 + 1.75680i −1.04670 + 0.104989i
\(281\) 28.0353 9.10921i 1.67244 0.543410i 0.689021 0.724741i \(-0.258041\pi\)
0.983422 + 0.181332i \(0.0580407\pi\)
\(282\) −1.50801 + 1.34088i −0.0898008 + 0.0798481i
\(283\) −7.19685 + 2.33840i −0.427808 + 0.139003i −0.515004 0.857188i \(-0.672210\pi\)
0.0871956 + 0.996191i \(0.472210\pi\)
\(284\) −7.02767 + 8.02168i −0.417015 + 0.475999i
\(285\) −19.4980 23.3917i −1.15496 1.38561i
\(286\) −1.37883 0.283297i −0.0815317 0.0167517i
\(287\) 24.0776 + 17.4934i 1.42126 + 1.03260i
\(288\) 1.64031 16.8911i 0.0966564 0.995318i
\(289\) −8.46257 + 6.14842i −0.497798 + 0.361672i
\(290\) −3.59194 18.5672i −0.210926 1.09031i
\(291\) 1.03906 1.39163i 0.0609109 0.0815786i
\(292\) −10.0140 + 2.27124i −0.586024 + 0.132914i
\(293\) 14.7024i 0.858923i 0.903085 + 0.429461i \(0.141297\pi\)
−0.903085 + 0.429461i \(0.858703\pi\)
\(294\) 1.57735 + 0.923856i 0.0919932 + 0.0538804i
\(295\) −0.869684 10.9056i −0.0506350 0.634947i
\(296\) 3.46573 + 9.96995i 0.201441 + 0.579492i
\(297\) 20.7724 + 7.65956i 1.20533 + 0.444453i
\(298\) −5.07043 + 24.6781i −0.293722 + 1.42956i
\(299\) 0.703295 0.0406726
\(300\) −13.4318 + 10.9356i −0.775485 + 0.631366i
\(301\) −18.5751 −1.07065
\(302\) −4.95669 + 24.1245i −0.285225 + 1.38821i
\(303\) 1.93844 5.71147i 0.111361 0.328115i
\(304\) −27.6548 14.9792i −1.58611 0.859119i
\(305\) 24.2258 + 5.78950i 1.38717 + 0.331506i
\(306\) 9.28974 + 5.60491i 0.531059 + 0.320412i
\(307\) 30.0335i 1.71411i 0.515229 + 0.857053i \(0.327707\pi\)
−0.515229 + 0.857053i \(0.672293\pi\)
\(308\) −5.24599 23.1297i −0.298918 1.31794i
\(309\) 0.190500 + 0.142237i 0.0108372 + 0.00809160i
\(310\) −5.47955 5.11890i −0.311218 0.290734i
\(311\) 16.8187 12.2195i 0.953702 0.692905i 0.00202234 0.999998i \(-0.499356\pi\)
0.951680 + 0.307093i \(0.0993563\pi\)
\(312\) −0.00841690 1.14441i −0.000476513 0.0647892i
\(313\) −6.43981 4.67879i −0.364000 0.264461i 0.390719 0.920510i \(-0.372226\pi\)
−0.754718 + 0.656049i \(0.772226\pi\)
\(314\) −17.5803 3.61209i −0.992114 0.203842i
\(315\) 18.6436 0.998481i 1.05045 0.0562580i
\(316\) −11.3063 9.90530i −0.636030 0.557216i
\(317\) 16.1936 5.26162i 0.909523 0.295522i 0.183361 0.983046i \(-0.441302\pi\)
0.726162 + 0.687524i \(0.241302\pi\)
\(318\) 16.8170 + 18.9132i 0.943050 + 1.06060i
\(319\) 24.2337 7.87400i 1.35682 0.440859i
\(320\) −8.70087 + 15.6299i −0.486394 + 0.873740i
\(321\) −16.5622 5.62113i −0.924412 0.313741i
\(322\) 4.89323 + 10.7924i 0.272689 + 0.601435i
\(323\) 16.2671 11.8188i 0.905127 0.657614i
\(324\) −2.57009 + 17.8156i −0.142783 + 0.989754i
\(325\) −0.824209 + 0.827640i −0.0457189 + 0.0459092i
\(326\) 6.72115 6.13498i 0.372250 0.339785i
\(327\) −14.1438 20.0107i −0.782151 1.10659i
\(328\) 28.5682 9.93079i 1.57741 0.548336i
\(329\) −2.18064 0.708533i −0.120223 0.0390627i
\(330\) −16.8444 16.1521i −0.927253 0.889141i
\(331\) 3.54922 1.15321i 0.195083 0.0633863i −0.209846 0.977734i \(-0.567296\pi\)
0.404929 + 0.914348i \(0.367296\pi\)
\(332\) 0.162111 1.77406i 0.00889700 0.0973642i
\(333\) −3.18082 10.7341i −0.174308 0.588223i
\(334\) 2.95196 + 26.3611i 0.161524 + 1.44242i
\(335\) −19.0176 11.6269i −1.03904 0.635243i
\(336\) 17.5028 8.09147i 0.954858 0.441426i
\(337\) 16.5001 + 11.9880i 0.898815 + 0.653028i 0.938161 0.346198i \(-0.112527\pi\)
−0.0393460 + 0.999226i \(0.512527\pi\)
\(338\) 2.03738 + 18.1939i 0.110819 + 0.989617i
\(339\) 24.8779 17.5839i 1.35118 0.955028i
\(340\) −6.61493 9.32933i −0.358745 0.505954i
\(341\) 5.93860 8.17378i 0.321593 0.442635i
\(342\) 28.5628 + 17.2332i 1.54450 + 0.931864i
\(343\) 17.4054i 0.939806i
\(344\) −10.7818 + 15.4947i −0.581317 + 0.835421i
\(345\) 9.86793 + 6.21115i 0.531272 + 0.334397i
\(346\) −8.49078 18.7270i −0.456467 1.00677i
\(347\) −0.528107 + 1.62535i −0.0283503 + 0.0872532i −0.964231 0.265065i \(-0.914607\pi\)
0.935880 + 0.352318i \(0.114607\pi\)
\(348\) 10.3683 + 17.9352i 0.555797 + 0.961430i
\(349\) −6.96768 −0.372972 −0.186486 0.982458i \(-0.559710\pi\)
−0.186486 + 0.982458i \(0.559710\pi\)
\(350\) −18.4350 6.88946i −0.985392 0.368257i
\(351\) −0.0474621 + 1.21293i −0.00253334 + 0.0647415i
\(352\) −22.3391 9.04953i −1.19068 0.482342i
\(353\) 22.6816 + 7.36969i 1.20722 + 0.392249i 0.842412 0.538834i \(-0.181135\pi\)
0.364807 + 0.931083i \(0.381135\pi\)
\(354\) 4.80608 + 10.9785i 0.255440 + 0.583499i
\(355\) −11.0111 + 4.57435i −0.584409 + 0.242782i
\(356\) −0.0915019 0.403435i −0.00484959 0.0213820i
\(357\) −0.160709 + 12.3268i −0.00850564 + 0.652401i
\(358\) 5.43569 9.56444i 0.287285 0.505496i
\(359\) 14.9340 + 10.8502i 0.788187 + 0.572651i 0.907425 0.420214i \(-0.138045\pi\)
−0.119238 + 0.992866i \(0.538045\pi\)
\(360\) 9.98873 16.1315i 0.526452 0.850205i
\(361\) 34.6445 25.1707i 1.82339 1.32477i
\(362\) −1.22821 10.9680i −0.0645535 0.576466i
\(363\) 7.41343 9.92890i 0.389104 0.521132i
\(364\) 1.11720 0.665427i 0.0585572 0.0348779i
\(365\) −11.1659 2.66844i −0.584450 0.139672i
\(366\) −27.1531 + 2.68272i −1.41932 + 0.140228i
\(367\) 6.31398 2.05153i 0.329587 0.107089i −0.139549 0.990215i \(-0.544565\pi\)
0.469136 + 0.883126i \(0.344565\pi\)
\(368\) 11.8429 + 2.18260i 0.617354 + 0.113776i
\(369\) −30.7577 + 9.11440i −1.60118 + 0.474477i
\(370\) −1.44862 + 11.7118i −0.0753100 + 0.608866i
\(371\) −8.88626 + 27.3491i −0.461352 + 1.41990i
\(372\) 7.50597 + 3.33686i 0.389167 + 0.173008i
\(373\) −20.2982 + 14.7475i −1.05100 + 0.763598i −0.972403 0.233308i \(-0.925045\pi\)
−0.0785996 + 0.996906i \(0.525045\pi\)
\(374\) 11.3809 10.3884i 0.588494 0.537170i
\(375\) −18.8738 + 4.33362i −0.974638 + 0.223787i
\(376\) −1.85678 + 1.40776i −0.0957561 + 0.0725994i
\(377\) 0.821166 + 1.13024i 0.0422922 + 0.0582102i
\(378\) −18.9432 + 7.71074i −0.974331 + 0.396598i
\(379\) −11.0123 3.57812i −0.565664 0.183795i 0.0122040 0.999926i \(-0.496115\pi\)
−0.577868 + 0.816130i \(0.696115\pi\)
\(380\) −20.3386 28.6845i −1.04335 1.47148i
\(381\) 9.30736 + 29.9690i 0.476831 + 1.53536i
\(382\) −2.31151 2.53236i −0.118267 0.129567i
\(383\) 6.58041 + 20.2524i 0.336243 + 1.03485i 0.966106 + 0.258144i \(0.0831110\pi\)
−0.629863 + 0.776706i \(0.716889\pi\)
\(384\) 3.40981 19.2970i 0.174006 0.984745i
\(385\) 6.16340 25.7904i 0.314116 1.31440i
\(386\) −29.9075 6.14487i −1.52225 0.312766i
\(387\) 12.1869 15.8857i 0.619494 0.807518i
\(388\) 1.32150 1.50842i 0.0670892 0.0765784i
\(389\) −7.19064 9.89707i −0.364580 0.501801i 0.586838 0.809705i \(-0.300373\pi\)
−0.951418 + 0.307903i \(0.900373\pi\)
\(390\) 0.556846 1.15200i 0.0281970 0.0583335i
\(391\) −4.52531 + 6.22855i −0.228855 + 0.314991i
\(392\) 1.73260 + 1.20561i 0.0875096 + 0.0608925i
\(393\) −0.150398 + 11.5358i −0.00758656 + 0.581905i
\(394\) −16.8540 9.57853i −0.849094 0.482559i
\(395\) −6.44742 15.5198i −0.324405 0.780888i
\(396\) 23.2228 + 10.6887i 1.16699 + 0.537126i
\(397\) −4.30246 + 13.2416i −0.215934 + 0.664578i 0.783151 + 0.621831i \(0.213611\pi\)
−0.999086 + 0.0427469i \(0.986389\pi\)
\(398\) −2.72465 + 13.2610i −0.136574 + 0.664716i
\(399\) −0.494126 + 37.9005i −0.0247372 + 1.89740i
\(400\) −16.4475 + 11.3789i −0.822374 + 0.568947i
\(401\) 9.99102i 0.498928i −0.968384 0.249464i \(-0.919746\pi\)
0.968384 0.249464i \(-0.0802544\pi\)
\(402\) 23.8520 + 5.22565i 1.18963 + 0.260632i
\(403\) 0.526831 + 0.171178i 0.0262433 + 0.00852697i
\(404\) 2.74598 6.40033i 0.136617 0.318428i
\(405\) −11.3779 + 16.5995i −0.565374 + 0.824834i
\(406\) −11.6306 + 20.4649i −0.577219 + 1.01565i
\(407\) −15.9003 −0.788151
\(408\) 10.1893 + 7.28907i 0.504446 + 0.360863i
\(409\) 22.9464 + 16.6715i 1.13463 + 0.824355i 0.986362 0.164593i \(-0.0526310\pi\)
0.148266 + 0.988948i \(0.452631\pi\)
\(410\) 33.5592 + 4.15091i 1.65737 + 0.204999i
\(411\) −8.09635 + 5.72258i −0.399363 + 0.282274i
\(412\) 0.206488 + 0.180901i 0.0101729 + 0.00891235i
\(413\) −8.00396 + 11.0165i −0.393849 + 0.542087i
\(414\) −12.4402 2.89595i −0.611403 0.142328i
\(415\) 1.03891 1.69930i 0.0509980 0.0834155i
\(416\) 0.0933959 1.31818i 0.00457911 0.0646290i
\(417\) 0.613266 + 1.97467i 0.0300317 + 0.0966998i
\(418\) 34.9924 31.9407i 1.71154 1.56227i
\(419\) −8.49678 26.1504i −0.415095 1.27753i −0.912166 0.409821i \(-0.865591\pi\)
0.497071 0.867710i \(-0.334409\pi\)
\(420\) 21.5522 + 0.529941i 1.05164 + 0.0258585i
\(421\) 5.43249 16.7195i 0.264764 0.814858i −0.726984 0.686654i \(-0.759079\pi\)
0.991748 0.128204i \(-0.0409213\pi\)
\(422\) 0.104278 + 0.229992i 0.00507618 + 0.0111959i
\(423\) 2.03664 1.40006i 0.0990248 0.0680734i
\(424\) 17.6558 + 23.2873i 0.857440 + 1.13093i
\(425\) −2.02646 12.6248i −0.0982979 0.612393i
\(426\) 9.76094 8.67912i 0.472919 0.420505i
\(427\) −18.2230 25.0818i −0.881871 1.21379i
\(428\) −18.5598 7.96282i −0.897120 0.384897i
\(429\) 1.63252 + 0.554070i 0.0788190 + 0.0267508i
\(430\) −18.4679 + 10.2154i −0.890602 + 0.492632i
\(431\) −5.09083 15.6680i −0.245217 0.754700i −0.995601 0.0936975i \(-0.970131\pi\)
0.750384 0.661002i \(-0.229869\pi\)
\(432\) −4.56342 + 20.2775i −0.219558 + 0.975600i
\(433\) 4.24259 + 13.0574i 0.203886 + 0.627496i 0.999757 + 0.0220305i \(0.00701311\pi\)
−0.795871 + 0.605466i \(0.792987\pi\)
\(434\) 1.03868 + 9.27543i 0.0498580 + 0.445235i
\(435\) 1.54009 + 23.1105i 0.0738414 + 1.10806i
\(436\) −14.4795 24.3100i −0.693443 1.16424i
\(437\) −13.9138 + 19.1507i −0.665586 + 0.916100i
\(438\) 12.5151 1.23649i 0.597996 0.0590819i
\(439\) −14.9654 20.5981i −0.714258 0.983092i −0.999695 0.0246943i \(-0.992139\pi\)
0.285437 0.958397i \(-0.407861\pi\)
\(440\) −17.9360 20.1112i −0.855066 0.958766i
\(441\) −1.77632 1.36272i −0.0845868 0.0648915i
\(442\) 0.734516 + 0.417442i 0.0349374 + 0.0198557i
\(443\) −31.2794 −1.48613 −0.743065 0.669219i \(-0.766629\pi\)
−0.743065 + 0.669219i \(0.766629\pi\)
\(444\) −2.69480 12.6434i −0.127890 0.600028i
\(445\) 0.107504 0.449843i 0.00509616 0.0213246i
\(446\) −0.469974 1.03656i −0.0222539 0.0490825i
\(447\) 9.91670 29.2188i 0.469044 1.38200i
\(448\) 20.8778 7.73813i 0.986384 0.365592i
\(449\) 2.62943i 0.124091i 0.998073 + 0.0620453i \(0.0197623\pi\)
−0.998073 + 0.0620453i \(0.980238\pi\)
\(450\) 17.9870 11.2459i 0.847913 0.530135i
\(451\) 45.5613i 2.14540i
\(452\) 30.2229 18.0014i 1.42156 0.846713i
\(453\) 9.69425 28.5633i 0.455476 1.34202i
\(454\) 19.8584 9.00377i 0.932002 0.422568i
\(455\) 1.44924 0.115573i 0.0679416 0.00541812i
\(456\) 31.3286 + 22.4114i 1.46710 + 1.04951i
\(457\) 8.90228 0.416431 0.208215 0.978083i \(-0.433234\pi\)
0.208215 + 0.978083i \(0.433234\pi\)
\(458\) 3.46704 6.10048i 0.162004 0.285057i
\(459\) −10.4366 8.22487i −0.487140 0.383904i
\(460\) 10.8003 + 8.03904i 0.503566 + 0.374822i
\(461\) 19.9285 + 27.4292i 0.928163 + 1.27751i 0.960572 + 0.278032i \(0.0896821\pi\)
−0.0324090 + 0.999475i \(0.510318\pi\)
\(462\) 2.85598 + 28.9068i 0.132872 + 1.34486i
\(463\) −10.3791 + 14.2855i −0.482356 + 0.663906i −0.978955 0.204074i \(-0.934582\pi\)
0.496600 + 0.867980i \(0.334582\pi\)
\(464\) 10.3202 + 21.5807i 0.479102 + 1.00186i
\(465\) 5.88021 + 7.05450i 0.272688 + 0.327145i
\(466\) 20.5049 2.29617i 0.949870 0.106368i
\(467\) −6.97922 21.4798i −0.322960 0.993969i −0.972353 0.233516i \(-0.924977\pi\)
0.649393 0.760453i \(-0.275023\pi\)
\(468\) −0.163895 + 1.39203i −0.00757606 + 0.0643465i
\(469\) 8.57350 + 26.3865i 0.395887 + 1.21842i
\(470\) −2.55772 + 0.494806i −0.117979 + 0.0228237i
\(471\) 20.8150 + 7.06450i 0.959105 + 0.325515i
\(472\) 4.54376 + 13.0711i 0.209143 + 0.601648i
\(473\) −16.7144 23.0053i −0.768527 1.05779i
\(474\) 12.2330 + 13.7578i 0.561879 + 0.631915i
\(475\) −6.23067 38.8169i −0.285883 1.78104i
\(476\) −1.29537 + 14.1759i −0.0593732 + 0.649749i
\(477\) −17.5593 25.5431i −0.803985 1.16954i
\(478\) 13.8259 6.26862i 0.632381 0.286720i
\(479\) −8.81683 + 27.1354i −0.402851 + 1.23985i 0.519825 + 0.854273i \(0.325997\pi\)
−0.922676 + 0.385576i \(0.874003\pi\)
\(480\) 12.9519 17.6705i 0.591172 0.806546i
\(481\) −0.269394 0.829110i −0.0122833 0.0378042i
\(482\) −8.42898 9.23433i −0.383929 0.420612i
\(483\) −4.30446 13.8600i −0.195860 0.630652i
\(484\) 9.42858 10.7622i 0.428572 0.489190i
\(485\) 2.07056 0.860175i 0.0940193 0.0390585i
\(486\) 5.83400 21.2595i 0.264635 0.964349i
\(487\) 0.259391 0.357021i 0.0117541 0.0161782i −0.803099 0.595845i \(-0.796817\pi\)
0.814854 + 0.579667i \(0.196817\pi\)
\(488\) −31.4998 + 0.642415i −1.42593 + 0.0290807i
\(489\) −9.10137 + 6.43294i −0.411578 + 0.290908i
\(490\) 1.14228 + 2.06506i 0.0516028 + 0.0932898i
\(491\) 35.2899 + 25.6396i 1.59261 + 1.15710i 0.900091 + 0.435702i \(0.143500\pi\)
0.692520 + 0.721398i \(0.256500\pi\)
\(492\) −36.2287 + 7.72176i −1.63331 + 0.348124i
\(493\) −15.2934 −0.688781
\(494\) 2.25838 + 1.28349i 0.101610 + 0.0577470i
\(495\) 18.0127 + 22.1918i 0.809610 + 0.997447i
\(496\) 8.34016 + 4.51745i 0.374484 + 0.202840i
\(497\) 14.1147 + 4.58613i 0.633129 + 0.205716i
\(498\) −0.466934 + 2.13127i −0.0209238 + 0.0955047i
\(499\) 24.7384i 1.10744i −0.832702 0.553722i \(-0.813207\pi\)
0.832702 0.553722i \(-0.186793\pi\)
\(500\) −22.1175 + 3.28868i −0.989125 + 0.147074i
\(501\) 0.423517 32.4847i 0.0189214 1.45131i
\(502\) 1.17446 + 0.241307i 0.0524186 + 0.0107701i
\(503\) −10.1036 + 31.0956i −0.450497 + 1.38649i 0.425845 + 0.904796i \(0.359977\pi\)
−0.876342 + 0.481690i \(0.840023\pi\)
\(504\) −22.5016 + 7.17011i −1.00230 + 0.319382i
\(505\) 5.91570 5.06312i 0.263245 0.225306i
\(506\) −8.96334 + 15.7716i −0.398469 + 0.701131i
\(507\) 0.292303 22.4202i 0.0129816 0.995718i
\(508\) 8.01493 + 35.3381i 0.355605 + 1.56788i
\(509\) 0.553650 0.762034i 0.0245401 0.0337766i −0.796571 0.604545i \(-0.793355\pi\)
0.821111 + 0.570769i \(0.193355\pi\)
\(510\) 6.61936 + 12.3440i 0.293110 + 0.546602i
\(511\) 8.39914 + 11.5604i 0.371556 + 0.511403i
\(512\) 5.66353 21.9072i 0.250295 0.968170i
\(513\) −32.0890 25.2886i −1.41676 1.11652i
\(514\) 3.52799 17.1710i 0.155613 0.757380i
\(515\) 0.117750 + 0.283440i 0.00518866 + 0.0124898i
\(516\) 15.4603 17.1896i 0.680600 0.756731i
\(517\) −1.08468 3.33829i −0.0477040 0.146818i
\(518\) 10.8487 9.90257i 0.476665 0.435094i
\(519\) 7.46913 + 24.0500i 0.327858 + 1.05568i
\(520\) 0.744800 1.27600i 0.0326617 0.0559561i
\(521\) −24.1261 7.83905i −1.05698 0.343435i −0.271578 0.962416i \(-0.587546\pi\)
−0.785406 + 0.618981i \(0.787546\pi\)
\(522\) −9.87121 23.3735i −0.432051 1.02303i
\(523\) 0.177552 + 0.244379i 0.00776380 + 0.0106859i 0.812881 0.582429i \(-0.197898\pi\)
−0.805117 + 0.593115i \(0.797898\pi\)
\(524\) −1.21225 + 13.2663i −0.0529576 + 0.579540i
\(525\) 21.3550 + 11.1774i 0.932009 + 0.487821i
\(526\) −14.3354 15.7051i −0.625053 0.684773i
\(527\) −4.90585 + 3.56431i −0.213702 + 0.155264i
\(528\) 25.7709 + 14.3965i 1.12153 + 0.626525i
\(529\) −4.30658 + 13.2543i −0.187242 + 0.576273i
\(530\) 6.20575 + 32.0784i 0.269560 + 1.39339i
\(531\) −4.17022 14.0729i −0.180972 0.610713i
\(532\) −3.98281 + 43.5859i −0.172677 + 1.88969i
\(533\) −2.37575 + 0.771929i −0.102905 + 0.0334360i
\(534\) 0.0498148 + 0.504199i 0.00215570 + 0.0218188i
\(535\) −14.6821 17.1544i −0.634763 0.741651i
\(536\) 26.9872 + 8.16421i 1.16567 + 0.352640i
\(537\) −8.06101 + 10.7962i −0.347858 + 0.465890i
\(538\) −14.4753 + 1.62097i −0.624074 + 0.0698848i
\(539\) −2.57243 + 1.86898i −0.110802 + 0.0805026i
\(540\) −14.5933 + 18.0841i −0.627996 + 0.778216i
\(541\) −21.0088 15.2638i −0.903237 0.656240i 0.0360581 0.999350i \(-0.488520\pi\)
−0.939295 + 0.343109i \(0.888520\pi\)
\(542\) −12.5377 7.12544i −0.538539 0.306064i
\(543\) −0.176212 + 13.5158i −0.00756197 + 0.580020i
\(544\) 11.0732 + 9.30887i 0.474758 + 0.399115i
\(545\) −2.51483 31.5351i −0.107723 1.35082i
\(546\) −1.45893 + 0.638681i −0.0624365 + 0.0273330i
\(547\) 17.5680 + 5.70820i 0.751155 + 0.244065i 0.659478 0.751724i \(-0.270777\pi\)
0.0916769 + 0.995789i \(0.470777\pi\)
\(548\) −9.83584 + 5.85843i −0.420166 + 0.250260i
\(549\) 33.4062 + 0.871212i 1.42574 + 0.0371824i
\(550\) −8.05567 29.0312i −0.343495 1.23789i
\(551\) −47.0220 −2.00320
\(552\) −14.0601 4.45434i −0.598437 0.189589i
\(553\) −6.46402 + 19.8942i −0.274878 + 0.845988i
\(554\) 19.3792 8.78647i 0.823341 0.373301i
\(555\) 3.54241 14.0124i 0.150367 0.594793i
\(556\) 0.528107 + 2.32844i 0.0223967 + 0.0987479i
\(557\) 38.8879i 1.64774i −0.566782 0.823868i \(-0.691812\pi\)
0.566782 0.823868i \(-0.308188\pi\)
\(558\) −8.61398 5.19720i −0.364659 0.220015i
\(559\) 0.916409 1.26133i 0.0387600 0.0533485i
\(560\) 24.7627 + 2.55142i 1.04642 + 0.107817i
\(561\) −15.4114 + 10.8929i −0.650668 + 0.459899i
\(562\) −41.4293 + 4.63931i −1.74759 + 0.195697i
\(563\) −10.8228 7.86322i −0.456126 0.331395i 0.335883 0.941904i \(-0.390965\pi\)
−0.792010 + 0.610508i \(0.790965\pi\)
\(564\) 2.47066 1.42827i 0.104033 0.0601411i
\(565\) 39.2054 3.12651i 1.64938 0.131533i
\(566\) 10.6352 1.19094i 0.447030 0.0500591i
\(567\) 24.1940 6.48829i 1.01605 0.272483i
\(568\) 12.0184 9.11201i 0.504281 0.382331i
\(569\) 25.0955 8.15402i 1.05206 0.341834i 0.268582 0.963257i \(-0.413445\pi\)
0.783475 + 0.621423i \(0.213445\pi\)
\(570\) 20.3522 + 37.9536i 0.852462 + 1.58970i
\(571\) 18.4481 + 5.99415i 0.772029 + 0.250848i 0.668434 0.743772i \(-0.266965\pi\)
0.103596 + 0.994619i \(0.466965\pi\)
\(572\) 1.82942 + 0.784890i 0.0764920 + 0.0328179i
\(573\) 2.42378 + 3.42917i 0.101255 + 0.143256i
\(574\) −28.3751 31.0862i −1.18435 1.29751i
\(575\) 6.86173 + 13.3980i 0.286154 + 0.558737i
\(576\) −7.07987 + 22.9320i −0.294995 + 0.955499i
\(577\) 28.7043 20.8549i 1.19498 0.868202i 0.201196 0.979551i \(-0.435517\pi\)
0.993781 + 0.111349i \(0.0355172\pi\)
\(578\) 13.4730 6.10862i 0.560402 0.254085i
\(579\) 35.4104 + 12.0181i 1.47160 + 0.499455i
\(580\) −0.308819 + 26.7431i −0.0128230 + 1.11045i
\(581\) −2.35775 + 0.766078i −0.0978158 + 0.0317823i
\(582\) −1.83548 + 1.63205i −0.0760829 + 0.0676505i
\(583\) −41.8681 + 13.6038i −1.73400 + 0.563411i
\(584\) 14.5186 0.296095i 0.600783 0.0122525i
\(585\) −0.851990 + 1.31524i −0.0352255 + 0.0543787i
\(586\) 4.18463 20.3669i 0.172865 0.841348i
\(587\) 35.1023 + 25.5033i 1.44883 + 1.05263i 0.986104 + 0.166132i \(0.0531278\pi\)
0.462724 + 0.886503i \(0.346872\pi\)
\(588\) −1.92212 1.72875i −0.0792669 0.0712923i
\(589\) −15.0838 + 10.9590i −0.621518 + 0.451559i
\(590\) −1.89921 + 15.3548i −0.0781894 + 0.632145i
\(591\) 19.0246 + 14.2048i 0.782567 + 0.584306i
\(592\) −1.96332 14.7976i −0.0806920 0.608176i
\(593\) 25.2125i 1.03536i −0.855576 0.517678i \(-0.826797\pi\)
0.855576 0.517678i \(-0.173203\pi\)
\(594\) −26.5954 16.5229i −1.09122 0.677942i
\(595\) −8.30153 + 13.5785i −0.340330 + 0.556664i
\(596\) 14.0479 32.7428i 0.575424 1.34120i
\(597\) 5.32884 15.7010i 0.218095 0.642600i
\(598\) −0.974258 0.200173i −0.0398404 0.00818570i
\(599\) −1.96231 −0.0801776 −0.0400888 0.999196i \(-0.512764\pi\)
−0.0400888 + 0.999196i \(0.512764\pi\)
\(600\) 21.7193 11.3258i 0.886685 0.462374i
\(601\) −36.0865 −1.47200 −0.735999 0.676982i \(-0.763287\pi\)
−0.735999 + 0.676982i \(0.763287\pi\)
\(602\) 25.7316 + 5.28688i 1.04874 + 0.215477i
\(603\) −28.1912 9.97964i −1.14803 0.406403i
\(604\) 13.7328 32.0084i 0.558778 1.30240i
\(605\) 14.7729 6.13712i 0.600604 0.249510i
\(606\) −4.31089 + 7.36024i −0.175118 + 0.298989i
\(607\) 20.0431i 0.813525i −0.913534 0.406762i \(-0.866658\pi\)
0.913534 0.406762i \(-0.133342\pi\)
\(608\) 34.0461 + 28.6216i 1.38075 + 1.16076i
\(609\) 17.2480 23.1004i 0.698924 0.936077i
\(610\) −31.9116 14.9153i −1.29206 0.603901i
\(611\) 0.155695 0.113119i 0.00629875 0.00457631i
\(612\) −11.2736 10.4084i −0.455707 0.420736i
\(613\) −0.294709 0.214119i −0.0119032 0.00864817i 0.581818 0.813319i \(-0.302342\pi\)
−0.593721 + 0.804671i \(0.702342\pi\)
\(614\) 8.54822 41.6048i 0.344978 1.67903i
\(615\) −40.1515 10.1505i −1.61907 0.409309i
\(616\) 0.683904 + 33.5342i 0.0275553 + 1.35113i
\(617\) 20.4275 6.63729i 0.822379 0.267207i 0.132547 0.991177i \(-0.457684\pi\)
0.689832 + 0.723969i \(0.257684\pi\)
\(618\) −0.223411 0.251259i −0.00898692 0.0101071i
\(619\) 6.20560 2.01632i 0.249424 0.0810428i −0.181637 0.983366i \(-0.558139\pi\)
0.431061 + 0.902323i \(0.358139\pi\)
\(620\) 6.13374 + 8.65069i 0.246337 + 0.347420i
\(621\) 14.6774 + 5.41212i 0.588985 + 0.217181i
\(622\) −26.7765 + 12.1404i −1.07364 + 0.486786i
\(623\) −0.465736 + 0.338377i −0.0186593 + 0.0135568i
\(624\) −0.314064 + 1.58771i −0.0125726 + 0.0635594i
\(625\) −23.8083 7.62658i −0.952332 0.305063i
\(626\) 7.58922 + 8.31434i 0.303326 + 0.332308i
\(627\) −47.3846 + 33.4919i −1.89236 + 1.33754i
\(628\) 23.3255 + 10.0075i 0.930789 + 0.399342i
\(629\) 9.07620 + 2.94904i 0.361892 + 0.117586i
\(630\) −26.1108 3.92322i −1.04028 0.156305i
\(631\) −7.82174 + 2.54144i −0.311378 + 0.101173i −0.460538 0.887640i \(-0.652343\pi\)
0.149159 + 0.988813i \(0.452343\pi\)
\(632\) 12.8431 + 16.9396i 0.510872 + 0.673821i
\(633\) −0.0917309 0.295366i −0.00364597 0.0117397i
\(634\) −23.9302 + 2.67974i −0.950389 + 0.106426i
\(635\) −9.41658 + 39.4031i −0.373685 + 1.56366i
\(636\) −17.9131 30.9864i −0.710300 1.22869i
\(637\) −0.141040 0.102472i −0.00558821 0.00406008i
\(638\) −35.8114 + 4.01022i −1.41779 + 0.158766i
\(639\) −13.1826 + 9.06222i −0.521496 + 0.358496i
\(640\) 16.5017 19.1753i 0.652288 0.757971i
\(641\) −19.5096 + 26.8527i −0.770583 + 1.06062i 0.225676 + 0.974202i \(0.427541\pi\)
−0.996259 + 0.0864140i \(0.972459\pi\)
\(642\) 21.3433 + 12.5008i 0.842354 + 0.493367i
\(643\) 10.5921i 0.417713i −0.977946 0.208857i \(-0.933026\pi\)
0.977946 0.208857i \(-0.0669742\pi\)
\(644\) −3.70674 16.3431i −0.146066 0.644009i
\(645\) 23.9976 9.60444i 0.944903 0.378174i
\(646\) −25.8984 + 11.7423i −1.01896 + 0.461993i
\(647\) 5.82666 17.9326i 0.229070 0.705004i −0.768783 0.639509i \(-0.779138\pi\)
0.997853 0.0654943i \(-0.0208624\pi\)
\(648\) 8.63099 23.9480i 0.339057 0.940766i
\(649\) −20.8462 −0.818285
\(650\) 1.37732 0.911922i 0.0540230 0.0357685i
\(651\) 0.149019 11.4301i 0.00584051 0.447980i
\(652\) −11.0568 + 6.58566i −0.433018 + 0.257914i
\(653\) 9.70466 + 3.15323i 0.379773 + 0.123396i 0.492681 0.870210i \(-0.336017\pi\)
−0.112909 + 0.993605i \(0.536017\pi\)
\(654\) 13.8975 + 31.7460i 0.543436 + 1.24137i
\(655\) −7.76888 + 12.7073i −0.303555 + 0.496514i
\(656\) −42.4013 + 5.62575i −1.65549 + 0.219649i
\(657\) −15.3972 0.401550i −0.600704 0.0156659i
\(658\) 2.81912 + 1.60217i 0.109901 + 0.0624592i
\(659\) 11.0529 + 8.03037i 0.430558 + 0.312819i 0.781872 0.623439i \(-0.214265\pi\)
−0.351314 + 0.936258i \(0.614265\pi\)
\(660\) 18.7369 + 27.1693i 0.729332 + 1.05757i
\(661\) −28.2857 + 20.5508i −1.10019 + 0.799333i −0.981091 0.193549i \(-0.938000\pi\)
−0.119097 + 0.992883i \(0.538000\pi\)
\(662\) −5.24489 + 0.587330i −0.203848 + 0.0228272i
\(663\) −0.829111 0.619058i −0.0322000 0.0240422i
\(664\) −0.729506 + 2.41142i −0.0283103 + 0.0935814i
\(665\) −25.5243 + 41.7492i −0.989791 + 1.61896i
\(666\) 1.35116 + 15.7750i 0.0523563 + 0.611268i
\(667\) 17.1231 5.56364i 0.663010 0.215425i
\(668\) 3.41369 37.3576i 0.132079 1.44541i
\(669\) 0.413424 + 1.33119i 0.0159839 + 0.0514669i
\(670\) 23.0354 + 21.5193i 0.889935 + 0.831361i
\(671\) 14.6664 45.1385i 0.566189 1.74255i
\(672\) −26.5493 + 6.22722i −1.02416 + 0.240220i
\(673\) 1.53035 1.11187i 0.0589907 0.0428593i −0.557899 0.829909i \(-0.688392\pi\)
0.616890 + 0.787050i \(0.288392\pi\)
\(674\) −19.4451 21.3030i −0.748997 0.820560i
\(675\) −23.5699 + 10.9299i −0.907204 + 0.420690i
\(676\) 2.35605 25.7834i 0.0906174 0.991670i
\(677\) −19.5988 26.9755i −0.753244 1.03675i −0.997746 0.0671029i \(-0.978624\pi\)
0.244502 0.969649i \(-0.421376\pi\)
\(678\) −39.4675 + 17.2778i −1.51574 + 0.663550i
\(679\) −2.65416 0.862390i −0.101857 0.0330955i
\(680\) 6.50817 + 14.8065i 0.249577 + 0.567802i
\(681\) −25.5030 + 7.92039i −0.977278 + 0.303510i
\(682\) −10.5530 + 9.63269i −0.404097 + 0.368855i
\(683\) −14.2837 43.9606i −0.546549 1.68211i −0.717278 0.696787i \(-0.754612\pi\)
0.170729 0.985318i \(-0.445388\pi\)
\(684\) −34.6624 32.0023i −1.32535 1.22364i
\(685\) −12.7592 + 1.01750i −0.487502 + 0.0388767i
\(686\) −4.95398 + 24.1114i −0.189144 + 0.920576i
\(687\) −5.14155 + 6.88613i −0.196162 + 0.262722i
\(688\) 19.3460 18.3957i 0.737558 0.701331i
\(689\) −1.41872 1.95270i −0.0540488 0.0743918i
\(690\) −11.9020 11.4128i −0.453101 0.434477i
\(691\) 17.5866 24.2059i 0.669027 0.920836i −0.330711 0.943732i \(-0.607289\pi\)
0.999738 + 0.0228958i \(0.00728860\pi\)
\(692\) 6.43196 + 28.3587i 0.244506 + 1.07804i
\(693\) 0.927477 35.5637i 0.0352319 1.35095i
\(694\) 1.19418 2.10124i 0.0453306 0.0797621i
\(695\) −0.620462 + 2.59629i −0.0235355 + 0.0984827i
\(696\) −9.25813 27.7963i −0.350928 1.05362i
\(697\) 8.45025 26.0072i 0.320076 0.985093i
\(698\) 9.65217 + 1.98316i 0.365340 + 0.0750636i
\(699\) −25.2681 0.329431i −0.955726 0.0124602i
\(700\) 23.5767 + 14.7908i 0.891114 + 0.559040i
\(701\) 20.0259i 0.756369i 0.925730 + 0.378185i \(0.123452\pi\)
−0.925730 + 0.378185i \(0.876548\pi\)
\(702\) 0.410975 1.66674i 0.0155113 0.0629069i
\(703\) 27.9062 + 9.06727i 1.05250 + 0.341979i
\(704\) 28.3701 + 18.8943i 1.06924 + 0.712106i
\(705\) 3.18357 0.212153i 0.119900 0.00799016i
\(706\) −29.3227 16.6647i −1.10357 0.627186i
\(707\) −9.69188 −0.364501
\(708\) −3.53303 16.5761i −0.132779 0.622969i
\(709\) −12.9193 9.38646i −0.485196 0.352516i 0.318138 0.948045i \(-0.396943\pi\)
−0.803334 + 0.595529i \(0.796943\pi\)
\(710\) 16.5554 3.20274i 0.621313 0.120197i
\(711\) −12.7729 18.5805i −0.479022 0.696823i
\(712\) 0.0119288 + 0.584912i 0.000447052 + 0.0219205i
\(713\) 4.19612 5.77547i 0.157146 0.216293i
\(714\) 3.73109 17.0302i 0.139633 0.637340i
\(715\) 1.44721 + 1.69090i 0.0541224 + 0.0632361i
\(716\) −10.2522 + 11.7023i −0.383142 + 0.437334i
\(717\) −17.7558 + 5.51435i −0.663102 + 0.205937i
\(718\) −17.5995 19.2811i −0.656808 0.719563i
\(719\) −4.42706 13.6251i −0.165101 0.508130i 0.833942 0.551851i \(-0.186078\pi\)
−0.999044 + 0.0437218i \(0.986078\pi\)
\(720\) −18.4285 + 19.5036i −0.686791 + 0.726855i
\(721\) 0.118053 0.363329i 0.00439651 0.0135311i
\(722\) −55.1563 + 25.0078i −2.05271 + 0.930693i
\(723\) 8.83835 + 12.5046i 0.328702 + 0.465050i
\(724\) −1.42032 + 15.5433i −0.0527859 + 0.577662i
\(725\) −13.5197 + 26.6707i −0.502110 + 0.990527i
\(726\) −13.0956 + 11.6442i −0.486025 + 0.432158i
\(727\) 9.26454 + 12.7515i 0.343603 + 0.472928i 0.945489 0.325653i \(-0.105584\pi\)
−0.601887 + 0.798581i \(0.705584\pi\)
\(728\) −1.73703 + 0.603821i −0.0643785 + 0.0223791i
\(729\) −10.3245 + 24.9480i −0.382388 + 0.924002i
\(730\) 14.7084 + 6.87459i 0.544381 + 0.254440i
\(731\) 5.27406 + 16.2319i 0.195068 + 0.600358i
\(732\) 38.3782 + 4.01207i 1.41850 + 0.148291i
\(733\) −5.08624 15.6538i −0.187864 0.578187i 0.812121 0.583488i \(-0.198313\pi\)
−0.999986 + 0.00530103i \(0.998313\pi\)
\(734\) −9.33051 + 1.04484i −0.344395 + 0.0385659i
\(735\) −1.07396 2.68338i −0.0396135 0.0989778i
\(736\) −15.7845 6.39426i −0.581823 0.235695i
\(737\) −24.9652 + 34.3616i −0.919605 + 1.26573i
\(738\) 45.2020 3.87164i 1.66391 0.142517i
\(739\) 26.5455 + 36.5368i 0.976493 + 1.34403i 0.938697 + 0.344742i \(0.112034\pi\)
0.0377961 + 0.999285i \(0.487966\pi\)
\(740\) 5.34017 15.8117i 0.196308 0.581251i
\(741\) −2.54923 1.90339i −0.0936484 0.0699228i
\(742\) 20.0941 35.3568i 0.737678 1.29799i
\(743\) 43.2646 1.58723 0.793613 0.608423i \(-0.208198\pi\)
0.793613 + 0.608423i \(0.208198\pi\)
\(744\) −9.44810 6.75884i −0.346384 0.247791i
\(745\) 30.2636 25.9020i 1.10877 0.948974i
\(746\) 32.3161 14.6521i 1.18318 0.536450i
\(747\) 0.891723 2.51900i 0.0326264 0.0921654i
\(748\) −18.7225 + 11.1515i −0.684562 + 0.407739i
\(749\) 28.1046i 1.02692i
\(750\) 27.3788 0.631361i 0.999734 0.0230541i
\(751\) 28.6167i 1.04424i 0.852872 + 0.522120i \(0.174859\pi\)
−0.852872 + 0.522120i \(0.825141\pi\)
\(752\) 2.97283 1.42165i 0.108408 0.0518422i
\(753\) −1.39055 0.471947i −0.0506746 0.0171987i
\(754\) −0.815851 1.79941i −0.0297115 0.0655308i
\(755\) 29.5847 25.3209i 1.07670 0.921523i
\(756\) 28.4362 5.28987i 1.03421 0.192391i
\(757\) 18.4455 0.670412 0.335206 0.942145i \(-0.391194\pi\)
0.335206 + 0.942145i \(0.391194\pi\)
\(758\) 14.2367 + 8.09103i 0.517099 + 0.293879i
\(759\) 13.2924 17.8027i 0.482485 0.646197i
\(760\) 20.0104 + 45.5248i 0.725852 + 1.65136i
\(761\) −14.4301 19.8614i −0.523092 0.719975i 0.462966 0.886376i \(-0.346785\pi\)
−0.986058 + 0.166401i \(0.946785\pi\)
\(762\) −4.36343 44.1644i −0.158070 1.59991i
\(763\) −23.1447 + 31.8559i −0.837894 + 1.15326i
\(764\) 2.48131 + 4.16593i 0.0897708 + 0.150718i
\(765\) −6.16605 16.0083i −0.222934 0.578781i
\(766\) −3.35140 29.9281i −0.121091 1.08135i
\(767\) −0.353190 1.08701i −0.0127530 0.0392496i
\(768\) −10.2159 + 25.7611i −0.368634 + 0.929575i
\(769\) 0.412713 + 1.27020i 0.0148828 + 0.0458046i 0.958222 0.286025i \(-0.0923341\pi\)
−0.943339 + 0.331830i \(0.892334\pi\)
\(770\) −15.8785 + 33.9726i −0.572223 + 1.22429i
\(771\) −6.90002 + 20.3304i −0.248498 + 0.732180i
\(772\) 39.6812 + 17.0247i 1.42816 + 0.612732i
\(773\) 0.843248 + 1.16063i 0.0303295 + 0.0417450i 0.823912 0.566717i \(-0.191787\pi\)
−0.793583 + 0.608462i \(0.791787\pi\)
\(774\) −21.4036 + 18.5375i