Properties

Label 441.2.z.a.130.40
Level $441$
Weight $2$
Character 441.130
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 130.40
Character \(\chi\) \(=\) 441.130
Dual form 441.2.z.a.268.40

$q$-expansion

\(f(q)\) \(=\) \(q+(1.19380 - 0.813921i) q^{2} +(1.71916 + 0.210914i) q^{3} +(0.0320159 - 0.0815752i) q^{4} +(-0.000507118 - 0.00222183i) q^{5} +(2.22401 - 1.14747i) q^{6} +(0.314524 + 2.62699i) q^{7} +(0.614850 + 2.69383i) q^{8} +(2.91103 + 0.725191i) q^{9} +O(q^{10})\) \(q+(1.19380 - 0.813921i) q^{2} +(1.71916 + 0.210914i) q^{3} +(0.0320159 - 0.0815752i) q^{4} +(-0.000507118 - 0.00222183i) q^{5} +(2.22401 - 1.14747i) q^{6} +(0.314524 + 2.62699i) q^{7} +(0.614850 + 2.69383i) q^{8} +(2.91103 + 0.725191i) q^{9} +(-0.00241379 - 0.00223967i) q^{10} +(-2.93257 - 1.41225i) q^{11} +(0.0722459 - 0.133488i) q^{12} +(1.97136 - 1.34405i) q^{13} +(2.51364 + 2.88011i) q^{14} +(-0.000403202 - 0.00392664i) q^{15} +(3.05506 + 2.83468i) q^{16} +(0.0598202 + 0.152419i) q^{17} +(4.06544 - 1.50361i) q^{18} +(-1.97578 - 3.42215i) q^{19} +(-0.000197482 - 2.97656e-5i) q^{20} +(-0.0133511 + 4.58256i) q^{21} +(-4.65037 + 0.700931i) q^{22} +(-4.65452 - 5.83659i) q^{23} +(0.488858 + 4.76082i) q^{24} +(4.50484 - 2.16942i) q^{25} +(1.25947 - 3.20907i) q^{26} +(4.85158 + 1.86070i) q^{27} +(0.224367 + 0.0584481i) q^{28} +(-3.91333 - 0.589839i) q^{29} +(-0.00367732 - 0.00435946i) q^{30} +(-2.86923 - 4.96966i) q^{31} +(0.489842 + 0.0738318i) q^{32} +(-4.74370 - 3.04641i) q^{33} +(0.195471 + 0.133270i) q^{34} +(0.00567722 - 0.00203101i) q^{35} +(0.152357 - 0.214250i) q^{36} +(5.85601 + 0.882652i) q^{37} +(-5.14405 - 2.47724i) q^{38} +(3.67257 - 1.89485i) q^{39} +(0.00567343 - 0.00273218i) q^{40} +(2.43244 + 0.750308i) q^{41} +(3.71390 + 5.48154i) q^{42} +(-2.71093 + 0.836211i) q^{43} +(-0.209094 + 0.194011i) q^{44} +(0.000135015 - 0.00683557i) q^{45} +(-10.3071 - 3.17932i) q^{46} +(0.462999 - 0.315667i) q^{47} +(4.65426 + 5.51762i) q^{48} +(-6.80215 + 1.65251i) q^{49} +(3.61216 - 6.25644i) q^{50} +(0.0706932 + 0.274651i) q^{51} +(-0.0465264 - 0.203845i) q^{52} +(-8.34764 + 1.25820i) q^{53} +(7.30629 - 1.72749i) q^{54} +(-0.00165062 + 0.00723184i) q^{55} +(-6.88329 + 2.46248i) q^{56} +(-2.67490 - 6.29994i) q^{57} +(-5.15182 + 2.48099i) q^{58} +(4.53031 - 1.39742i) q^{59} +(-0.000333225 - 9.28236e-5i) q^{60} +(5.47970 + 13.9620i) q^{61} +(-7.47021 - 3.59746i) q^{62} +(-0.989479 + 7.87534i) q^{63} +(-6.86486 + 3.30594i) q^{64} +(-0.00398596 - 0.00369843i) q^{65} +(-8.14257 + 0.224184i) q^{66} +(-2.35445 - 4.07802i) q^{67} +0.0143489 q^{68} +(-6.77086 - 11.0157i) q^{69} +(0.00512440 - 0.00704544i) q^{70} +(-4.98539 - 6.25148i) q^{71} +(-0.163697 + 8.28772i) q^{72} +(-0.543147 + 7.24779i) q^{73} +(7.70934 - 3.71262i) q^{74} +(8.20211 - 2.77944i) q^{75} +(-0.342419 + 0.0516113i) q^{76} +(2.78760 - 8.14802i) q^{77} +(2.84206 - 5.25126i) q^{78} +(6.21598 - 10.7664i) q^{79} +(0.00474889 - 0.00822533i) q^{80} +(7.94820 + 4.22211i) q^{81} +(3.51454 - 1.08409i) q^{82} +(13.3293 + 9.08779i) q^{83} +(0.373396 + 0.147804i) q^{84} +(0.000308314 - 0.000210205i) q^{85} +(-2.55570 + 3.20475i) q^{86} +(-6.60324 - 1.83941i) q^{87} +(2.00128 - 8.76818i) q^{88} +(-6.52467 - 4.44845i) q^{89} +(-0.00540243 - 0.00827021i) q^{90} +(4.15085 + 4.75601i) q^{91} +(-0.625140 + 0.192830i) q^{92} +(-3.88450 - 9.14881i) q^{93} +(0.295801 - 0.753689i) q^{94} +(-0.00660147 + 0.00612527i) q^{95} +(0.826545 + 0.230243i) q^{96} +(3.00257 + 5.20060i) q^{97} +(-6.77542 + 7.50918i) q^{98} +(-7.51265 - 6.23778i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 8q^{2} - 13q^{3} + 44q^{4} + 3q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 39q^{9} + O(q^{10}) \) \( 648q - 8q^{2} - 13q^{3} + 44q^{4} + 3q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 39q^{9} - 22q^{10} - 5q^{11} + 2q^{12} - 4q^{13} + 52q^{14} - 4q^{15} + 38q^{16} - 37q^{17} - 16q^{18} - 14q^{19} - 11q^{20} - 6q^{21} - q^{22} - 20q^{23} - 26q^{24} - 97q^{25} - 44q^{26} + 14q^{27} - 22q^{28} - 53q^{29} - 9q^{30} + 10q^{31} - 10q^{32} + 2q^{33} - 7q^{34} - 32q^{35} - 22q^{36} - 39q^{37} + 59q^{38} - 26q^{39} - 19q^{40} - 17q^{41} - 83q^{42} - q^{43} - 31q^{44} + 81q^{45} + 56q^{46} + 50q^{47} - 23q^{48} - 19q^{49} - 21q^{50} - 30q^{51} - 9q^{52} + 50q^{53} + 48q^{54} + 20q^{55} - 239q^{56} + 33q^{57} + 17q^{58} - 37q^{59} - 152q^{60} - 105q^{61} - 30q^{62} + 6q^{63} - 88q^{64} - 5q^{65} - 99q^{66} + 13q^{67} - 290q^{68} + 64q^{69} + 17q^{70} - 19q^{71} + 11q^{72} - 40q^{73} - 57q^{74} + 69q^{75} - 41q^{76} + 19q^{77} + 81q^{78} + 13q^{79} + 163q^{80} - 179q^{81} - 28q^{82} + 73q^{83} - 341q^{84} - 10q^{85} + 15q^{86} + 13q^{87} - 13q^{88} - 104q^{89} + 171q^{90} - 49q^{91} - 91q^{92} - 275q^{93} - 4q^{94} - 29q^{95} + 231q^{96} - 11q^{97} - 33q^{98} + 62q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{2}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.19380 0.813921i 0.844146 0.575529i −0.0622007 0.998064i \(-0.519812\pi\)
0.906347 + 0.422535i \(0.138859\pi\)
\(3\) 1.71916 + 0.210914i 0.992558 + 0.121771i
\(4\) 0.0320159 0.0815752i 0.0160080 0.0407876i
\(5\) −0.000507118 0.00222183i −0.000226790 0.000993632i 0.974814 0.223018i \(-0.0715908\pi\)
−0.975041 + 0.222024i \(0.928734\pi\)
\(6\) 2.22401 1.14747i 0.907947 0.468453i
\(7\) 0.314524 + 2.62699i 0.118879 + 0.992909i
\(8\) 0.614850 + 2.69383i 0.217382 + 0.952414i
\(9\) 2.91103 + 0.725191i 0.970343 + 0.241730i
\(10\) −0.00241379 0.00223967i −0.000763308 0.000708246i
\(11\) −2.93257 1.41225i −0.884203 0.425810i −0.0640452 0.997947i \(-0.520400\pi\)
−0.820158 + 0.572137i \(0.806114\pi\)
\(12\) 0.0722459 0.133488i 0.0208556 0.0385348i
\(13\) 1.97136 1.34405i 0.546758 0.372773i −0.258213 0.966088i \(-0.583134\pi\)
0.804970 + 0.593315i \(0.202181\pi\)
\(14\) 2.51364 + 2.88011i 0.671799 + 0.769742i
\(15\) −0.000403202 0.00392664i −0.000104106 0.00101385i
\(16\) 3.05506 + 2.83468i 0.763764 + 0.708670i
\(17\) 0.0598202 + 0.152419i 0.0145085 + 0.0369672i 0.937944 0.346785i \(-0.112727\pi\)
−0.923436 + 0.383753i \(0.874632\pi\)
\(18\) 4.06544 1.50361i 0.958235 0.354405i
\(19\) −1.97578 3.42215i −0.453275 0.785095i 0.545313 0.838233i \(-0.316411\pi\)
−0.998587 + 0.0531381i \(0.983078\pi\)
\(20\) −0.000197482 0 2.97656e-5i −4.41583e−5 0 6.65579e-6i
\(21\) −0.0133511 + 4.58256i −0.00291345 + 0.999996i
\(22\) −4.65037 + 0.700931i −0.991463 + 0.149439i
\(23\) −4.65452 5.83659i −0.970535 1.21701i −0.976165 0.217029i \(-0.930364\pi\)
0.00562997 0.999984i \(-0.498208\pi\)
\(24\) 0.488858 + 4.76082i 0.0997878 + 0.971797i
\(25\) 4.50484 2.16942i 0.900968 0.433883i
\(26\) 1.25947 3.20907i 0.247002 0.629350i
\(27\) 4.85158 + 1.86070i 0.933687 + 0.358091i
\(28\) 0.224367 + 0.0584481i 0.0424014 + 0.0110456i
\(29\) −3.91333 0.589839i −0.726687 0.109530i −0.224727 0.974422i \(-0.572149\pi\)
−0.501959 + 0.864891i \(0.667387\pi\)
\(30\) −0.00367732 0.00435946i −0.000671383 0.000795924i
\(31\) −2.86923 4.96966i −0.515330 0.892577i −0.999842 0.0177927i \(-0.994336\pi\)
0.484512 0.874785i \(-0.338997\pi\)
\(32\) 0.489842 + 0.0738318i 0.0865927 + 0.0130517i
\(33\) −4.74370 3.04641i −0.825772 0.530312i
\(34\) 0.195471 + 0.133270i 0.0335230 + 0.0228556i
\(35\) 0.00567722 0.00203101i 0.000959625 0.000343304i
\(36\) 0.152357 0.214250i 0.0253928 0.0357084i
\(37\) 5.85601 + 0.882652i 0.962723 + 0.145107i 0.611552 0.791204i \(-0.290546\pi\)
0.351171 + 0.936311i \(0.385784\pi\)
\(38\) −5.14405 2.47724i −0.834475 0.401862i
\(39\) 3.67257 1.89485i 0.588082 0.303419i
\(40\) 0.00567343 0.00273218i 0.000897049 0.000431996i
\(41\) 2.43244 + 0.750308i 0.379883 + 0.117178i 0.478815 0.877916i \(-0.341066\pi\)
−0.0989320 + 0.995094i \(0.531543\pi\)
\(42\) 3.71390 + 5.48154i 0.573067 + 0.845819i
\(43\) −2.71093 + 0.836211i −0.413413 + 0.127521i −0.494483 0.869187i \(-0.664642\pi\)
0.0810700 + 0.996708i \(0.474166\pi\)
\(44\) −0.209094 + 0.194011i −0.0315220 + 0.0292482i
\(45\) 0.000135015 0.00683557i 2.01268e−5 0.00101899i
\(46\) −10.3071 3.17932i −1.51970 0.468765i
\(47\) 0.462999 0.315667i 0.0675353 0.0460448i −0.529082 0.848571i \(-0.677464\pi\)
0.596617 + 0.802526i \(0.296511\pi\)
\(48\) 4.65426 + 5.51762i 0.671785 + 0.796400i
\(49\) −6.80215 + 1.65251i −0.971736 + 0.236072i
\(50\) 3.61216 6.25644i 0.510836 0.884794i
\(51\) 0.0706932 + 0.274651i 0.00989903 + 0.0384588i
\(52\) −0.0465264 0.203845i −0.00645205 0.0282683i
\(53\) −8.34764 + 1.25820i −1.14664 + 0.172828i −0.694753 0.719249i \(-0.744486\pi\)
−0.451884 + 0.892076i \(0.649248\pi\)
\(54\) 7.30629 1.72749i 0.994260 0.235082i
\(55\) −0.00165062 + 0.00723184i −0.000222570 + 0.000975141i
\(56\) −6.88329 + 2.46248i −0.919818 + 0.329063i
\(57\) −2.67490 6.29994i −0.354299 0.834448i
\(58\) −5.15182 + 2.48099i −0.676468 + 0.325770i
\(59\) 4.53031 1.39742i 0.589797 0.181928i 0.0145304 0.999894i \(-0.495375\pi\)
0.575266 + 0.817966i \(0.304898\pi\)
\(60\) −0.000333225 0 9.28236e-5i −4.30192e−5 0 1.19835e-5i
\(61\) 5.47970 + 13.9620i 0.701604 + 1.78766i 0.610795 + 0.791788i \(0.290850\pi\)
0.0908082 + 0.995868i \(0.471055\pi\)
\(62\) −7.47021 3.59746i −0.948718 0.456878i
\(63\) −0.989479 + 7.87534i −0.124663 + 0.992199i
\(64\) −6.86486 + 3.30594i −0.858108 + 0.413243i
\(65\) −0.00398596 0.00369843i −0.000494398 0.000458734i
\(66\) −8.14257 + 0.224184i −1.00228 + 0.0275951i
\(67\) −2.35445 4.07802i −0.287641 0.498209i 0.685605 0.727974i \(-0.259538\pi\)
−0.973246 + 0.229764i \(0.926204\pi\)
\(68\) 0.0143489 0.00174005
\(69\) −6.77086 11.0157i −0.815115 1.32614i
\(70\) 0.00512440 0.00704544i 0.000612482 0.000842091i
\(71\) −4.98539 6.25148i −0.591657 0.741914i 0.392395 0.919797i \(-0.371647\pi\)
−0.984052 + 0.177883i \(0.943075\pi\)
\(72\) −0.163697 + 8.28772i −0.0192919 + 0.976717i
\(73\) −0.543147 + 7.24779i −0.0635705 + 0.848290i 0.870720 + 0.491778i \(0.163653\pi\)
−0.934291 + 0.356511i \(0.883966\pi\)
\(74\) 7.70934 3.71262i 0.896192 0.431583i
\(75\) 8.20211 2.77944i 0.947098 0.320942i
\(76\) −0.342419 + 0.0516113i −0.0392781 + 0.00592023i
\(77\) 2.78760 8.14802i 0.317677 0.928553i
\(78\) 2.84206 5.25126i 0.321800 0.594588i
\(79\) 6.21598 10.7664i 0.699353 1.21131i −0.269338 0.963046i \(-0.586805\pi\)
0.968691 0.248269i \(-0.0798617\pi\)
\(80\) 0.00474889 0.00822533i 0.000530943 0.000919619i
\(81\) 7.94820 + 4.22211i 0.883133 + 0.469123i
\(82\) 3.51454 1.08409i 0.388116 0.119718i
\(83\) 13.3293 + 9.08779i 1.46309 + 0.997515i 0.993403 + 0.114679i \(0.0365840\pi\)
0.469683 + 0.882835i \(0.344368\pi\)
\(84\) 0.373396 + 0.147804i 0.0407408 + 0.0161267i
\(85\) 0.000308314 0 0.000210205i 3.34413e−5 0 2.27999e-5i
\(86\) −2.55570 + 3.20475i −0.275589 + 0.345577i
\(87\) −6.60324 1.83941i −0.707941 0.197205i
\(88\) 2.00128 8.76818i 0.213337 0.934691i
\(89\) −6.52467 4.44845i −0.691614 0.471534i 0.165802 0.986159i \(-0.446979\pi\)
−0.857416 + 0.514625i \(0.827931\pi\)
\(90\) −0.00540243 0.00827021i −0.000569466 0.000871757i
\(91\) 4.15085 + 4.75601i 0.435128 + 0.498565i
\(92\) −0.625140 + 0.192830i −0.0651753 + 0.0201039i
\(93\) −3.88450 9.14881i −0.402804 0.948687i
\(94\) 0.295801 0.753689i 0.0305095 0.0777370i
\(95\) −0.00660147 + 0.00612527i −0.000677297 + 0.000628440i
\(96\) 0.826545 + 0.230243i 0.0843589 + 0.0234991i
\(97\) 3.00257 + 5.20060i 0.304865 + 0.528041i 0.977231 0.212177i \(-0.0680554\pi\)
−0.672367 + 0.740218i \(0.734722\pi\)
\(98\) −6.77542 + 7.50918i −0.684420 + 0.758541i
\(99\) −7.51265 6.23778i −0.755050 0.626920i
\(100\) −0.0327441 0.436939i −0.00327441 0.0436939i
\(101\) −2.76172 12.0999i −0.274802 1.20399i −0.904271 0.426959i \(-0.859585\pi\)
0.629469 0.777026i \(-0.283272\pi\)
\(102\) 0.307938 + 0.270340i 0.0304904 + 0.0267676i
\(103\) 2.19413 + 9.61313i 0.216194 + 0.947210i 0.960261 + 0.279104i \(0.0900375\pi\)
−0.744066 + 0.668106i \(0.767105\pi\)
\(104\) 4.83275 + 4.48413i 0.473890 + 0.439705i
\(105\) 0.0101884 0.00229423i 0.000994288 0.000223894i
\(106\) −8.94136 + 8.29637i −0.868462 + 0.805815i
\(107\) −4.57265 3.11758i −0.442055 0.301388i 0.321763 0.946820i \(-0.395725\pi\)
−0.763817 + 0.645433i \(0.776677\pi\)
\(108\) 0.307115 0.336197i 0.0295521 0.0323505i
\(109\) −14.7506 + 10.0568i −1.41285 + 0.963266i −0.414263 + 0.910157i \(0.635961\pi\)
−0.998589 + 0.0531091i \(0.983087\pi\)
\(110\) 0.00391563 + 0.00997687i 0.000373341 + 0.000951257i
\(111\) 9.88127 + 2.75254i 0.937889 + 0.261259i
\(112\) −6.48578 + 8.91718i −0.612849 + 0.842594i
\(113\) −1.07586 + 14.3564i −0.101209 + 1.35054i 0.683172 + 0.730257i \(0.260600\pi\)
−0.784381 + 0.620279i \(0.787019\pi\)
\(114\) −8.32096 5.34373i −0.779330 0.500487i
\(115\) −0.0106075 + 0.0133014i −0.000989155 + 0.00124036i
\(116\) −0.173405 + 0.300346i −0.0161003 + 0.0278865i
\(117\) 6.71339 2.48296i 0.620653 0.229550i
\(118\) 4.27091 5.35556i 0.393170 0.493019i
\(119\) −0.381589 + 0.205087i −0.0349802 + 0.0188003i
\(120\) 0.0103298 0.00350045i 0.000942978 0.000319546i
\(121\) −0.252875 0.317095i −0.0229887 0.0288269i
\(122\) 17.9057 + 12.2079i 1.62110 + 1.10525i
\(123\) 4.02350 + 1.80294i 0.362787 + 0.162565i
\(124\) −0.497262 + 0.0749502i −0.0446555 + 0.00673073i
\(125\) −0.0142091 0.0178177i −0.00127090 0.00159366i
\(126\) 5.22866 + 10.2070i 0.465806 + 0.909308i
\(127\) −9.96604 + 12.4970i −0.884343 + 1.10893i 0.109035 + 0.994038i \(0.465224\pi\)
−0.993378 + 0.114893i \(0.963347\pi\)
\(128\) −5.99989 + 10.3921i −0.530320 + 0.918542i
\(129\) −4.83689 + 0.865808i −0.425865 + 0.0762301i
\(130\) −0.00776869 0.00117094i −0.000681359 0.000102698i
\(131\) 3.66116 16.0406i 0.319877 1.40147i −0.517890 0.855447i \(-0.673282\pi\)
0.837767 0.546027i \(-0.183861\pi\)
\(132\) −0.400385 + 0.289435i −0.0348491 + 0.0251920i
\(133\) 8.36852 6.26670i 0.725643 0.543392i
\(134\) −6.12993 2.95202i −0.529545 0.255016i
\(135\) 0.00167383 0.0117230i 0.000144060 0.00100895i
\(136\) −0.373812 + 0.254861i −0.0320541 + 0.0218541i
\(137\) 0.683786 2.99586i 0.0584197 0.255954i −0.937282 0.348572i \(-0.886667\pi\)
0.995702 + 0.0926186i \(0.0295237\pi\)
\(138\) −17.0490 7.63968i −1.45131 0.650333i
\(139\) 5.05582 + 1.55951i 0.428829 + 0.132276i 0.501654 0.865069i \(-0.332725\pi\)
−0.0728248 + 0.997345i \(0.523201\pi\)
\(140\) 1.60810e−5 0 0.000528145i 1.35910e−6 0 4.46364e-5i
\(141\) 0.862548 0.445030i 0.0726396 0.0374783i
\(142\) −11.0398 3.40532i −0.926438 0.285768i
\(143\) −7.67930 + 1.15747i −0.642175 + 0.0967923i
\(144\) 6.83768 + 10.4673i 0.569807 + 0.872278i
\(145\) 0.000673996 0.00899386i 5.59724e−5 0.000746899i
\(146\) 5.25072 + 9.09451i 0.434553 + 0.752667i
\(147\) −12.0425 + 1.40625i −0.993251 + 0.115986i
\(148\) 0.259488 0.449447i 0.0213298 0.0369443i
\(149\) −6.66191 3.20821i −0.545765 0.262826i 0.140622 0.990063i \(-0.455090\pi\)
−0.686387 + 0.727237i \(0.740804\pi\)
\(150\) 7.52945 9.99397i 0.614777 0.816004i
\(151\) 2.05452 + 2.57629i 0.167194 + 0.209655i 0.858369 0.513032i \(-0.171478\pi\)
−0.691175 + 0.722688i \(0.742907\pi\)
\(152\) 8.00389 7.42653i 0.649201 0.602371i
\(153\) 0.0636053 + 0.487079i 0.00514218 + 0.0393780i
\(154\) −3.30399 11.9960i −0.266243 0.966667i
\(155\) −0.00958669 + 0.00889515i −0.000770021 + 0.000714475i
\(156\) −0.0369925 0.360256i −0.00296177 0.0288436i
\(157\) −6.65538 + 2.05291i −0.531157 + 0.163840i −0.548721 0.836005i \(-0.684885\pi\)
0.0175640 + 0.999846i \(0.494409\pi\)
\(158\) −1.34234 17.9123i −0.106791 1.42502i
\(159\) −14.6163 + 0.402420i −1.15915 + 0.0319140i
\(160\) −8.43660e−5 0.00112579i −6.66972e−6 8.90012e-5i
\(161\) 13.8687 14.0631i 1.09301 1.10833i
\(162\) 12.9250 1.42884i 1.01549 0.112260i
\(163\) −1.12078 + 0.345716i −0.0877865 + 0.0270785i −0.338337 0.941025i \(-0.609864\pi\)
0.250551 + 0.968103i \(0.419388\pi\)
\(164\) 0.139083 0.174405i 0.0108606 0.0136187i
\(165\) −0.00436298 + 0.0120846i −0.000339658 + 0.000940782i
\(166\) 23.3093 1.80916
\(167\) 5.38927 + 13.7316i 0.417034 + 1.06259i 0.972882 + 0.231302i \(0.0742984\pi\)
−0.555848 + 0.831284i \(0.687606\pi\)
\(168\) −12.3529 + 2.78162i −0.953043 + 0.214607i
\(169\) −2.66964 + 6.80213i −0.205357 + 0.523241i
\(170\) 0.000196976 0 0.000501886i 1.51074e−5 0 3.84929e-5i
\(171\) −3.26984 11.3948i −0.250051 0.871382i
\(172\) −0.0185788 + 0.247917i −0.00141662 + 0.0189035i
\(173\) 0.597153 0.0900064i 0.0454007 0.00684306i −0.126303 0.991992i \(-0.540311\pi\)
0.171703 + 0.985149i \(0.445073\pi\)
\(174\) −9.38009 + 3.17863i −0.711103 + 0.240971i
\(175\) 7.11592 + 11.1518i 0.537913 + 0.842999i
\(176\) −4.95589 12.6274i −0.373564 0.951826i
\(177\) 8.08307 1.44688i 0.607561 0.108754i
\(178\) −11.4099 −0.855205
\(179\) −2.69071 6.85581i −0.201113 0.512428i 0.794363 0.607444i \(-0.207805\pi\)
−0.995476 + 0.0950161i \(0.969710\pi\)
\(180\) −0.000553290 0 0.000229861i −4.12398e−5 0 1.71328e-5i
\(181\) 7.06015 3.39999i 0.524777 0.252719i −0.152688 0.988274i \(-0.548793\pi\)
0.677465 + 0.735555i \(0.263079\pi\)
\(182\) 8.82632 + 2.29927i 0.654250 + 0.170433i
\(183\) 6.47569 + 25.1588i 0.478697 + 1.85979i
\(184\) 12.8610 16.1271i 0.948123 1.18891i
\(185\) −0.00100859 0.0134587i −7.41528e−5 0.000989501i
\(186\) −12.0837 7.76019i −0.886023 0.569005i
\(187\) 0.0398276 0.531462i 0.00291248 0.0388644i
\(188\) −0.0109273 0.0478756i −0.000796954 0.00349169i
\(189\) −3.36209 + 13.3303i −0.244556 + 0.969635i
\(190\) −0.00289537 + 0.0126854i −0.000210052 + 0.000920299i
\(191\) −3.70395 1.14252i −0.268009 0.0826697i 0.157838 0.987465i \(-0.449548\pi\)
−0.425847 + 0.904795i \(0.640024\pi\)
\(192\) −12.4991 + 4.23555i −0.902043 + 0.305675i
\(193\) 5.48283 5.08732i 0.394663 0.366193i −0.457734 0.889089i \(-0.651339\pi\)
0.852397 + 0.522896i \(0.175148\pi\)
\(194\) 7.81735 + 3.76464i 0.561253 + 0.270285i
\(195\) −0.00607246 0.00719890i −0.000434858 0.000515524i
\(196\) −0.0829735 + 0.607793i −0.00592668 + 0.0434138i
\(197\) 15.5025 1.10451 0.552255 0.833675i \(-0.313767\pi\)
0.552255 + 0.833675i \(0.313767\pi\)
\(198\) −14.0457 1.33198i −0.998183 0.0946595i
\(199\) −2.90501 0.896077i −0.205931 0.0635212i 0.190074 0.981770i \(-0.439127\pi\)
−0.396004 + 0.918249i \(0.629604\pi\)
\(200\) 8.61385 + 10.8014i 0.609091 + 0.763776i
\(201\) −3.18756 7.50736i −0.224833 0.529528i
\(202\) −13.1453 12.1971i −0.924901 0.858183i
\(203\) 0.318664 10.4658i 0.0223658 0.734554i
\(204\) 0.0246680 + 0.00302638i 0.00172710 + 0.000211889i
\(205\) 0.000433522 0.00578495i 3.02785e−5 0.000404039i
\(206\) 10.4437 + 9.69033i 0.727647 + 0.675157i
\(207\) −9.31682 20.3659i −0.647564 1.41553i
\(208\) 9.83258 + 1.48202i 0.681767 + 0.102760i
\(209\) 0.961175 + 12.8260i 0.0664858 + 0.887192i
\(210\) 0.0102956 0.0110314i 0.000710467 0.000761241i
\(211\) 0.649031 8.66072i 0.0446811 0.596228i −0.929260 0.369427i \(-0.879554\pi\)
0.973941 0.226802i \(-0.0728269\pi\)
\(212\) −0.164619 + 0.721243i −0.0113061 + 0.0495352i
\(213\) −7.25216 11.7988i −0.496910 0.808440i
\(214\) −7.99630 −0.546616
\(215\) 0.00323268 + 0.00559916i 0.000220467 + 0.000381859i
\(216\) −2.02942 + 14.2134i −0.138084 + 0.967099i
\(217\) 12.1528 9.10053i 0.824986 0.617784i
\(218\) −9.42388 + 24.0117i −0.638266 + 1.62627i
\(219\) −2.46242 + 12.3456i −0.166395 + 0.834236i
\(220\) 0.000537093 0 0.000366184i 3.62108e−5 0 2.46881e-5i
\(221\) 0.322787 + 0.220073i 0.0217130 + 0.0148037i
\(222\) 14.0366 4.75659i 0.942077 0.319241i
\(223\) 6.15520 15.6832i 0.412183 1.05023i −0.562532 0.826775i \(-0.690173\pi\)
0.974715 0.223450i \(-0.0717319\pi\)
\(224\) −0.0398881 + 1.31003i −0.00266513 + 0.0875302i
\(225\) 14.6870 3.04837i 0.979131 0.203225i
\(226\) 10.4006 + 18.0144i 0.691838 + 1.19830i
\(227\) 27.9557 1.85548 0.927742 0.373221i \(-0.121747\pi\)
0.927742 + 0.373221i \(0.121747\pi\)
\(228\) −0.599559 + 0.0165072i −0.0397068 + 0.00109322i
\(229\) 1.75675 7.69683i 0.116089 0.508621i −0.883131 0.469127i \(-0.844569\pi\)
0.999220 0.0394932i \(-0.0125743\pi\)
\(230\) −0.00183699 + 0.0245129i −0.000121127 + 0.00161633i
\(231\) 6.51087 13.4198i 0.428384 0.882959i
\(232\) −0.817181 10.9045i −0.0536505 0.715917i
\(233\) −12.2620 1.84820i −0.803312 0.121080i −0.265463 0.964121i \(-0.585525\pi\)
−0.537849 + 0.843041i \(0.680763\pi\)
\(234\) 5.99353 8.42834i 0.391809 0.550978i
\(235\) −0.000936153 0 0.000868623i −6.10679e−5 0 5.66627e-5i
\(236\) 0.0310476 0.414301i 0.00202102 0.0269687i
\(237\) 12.9571 17.1981i 0.841652 1.11714i
\(238\) −0.288618 + 0.555417i −0.0187083 + 0.0360023i
\(239\) 6.49531 + 6.02677i 0.420147 + 0.389839i 0.861718 0.507387i \(-0.169388\pi\)
−0.441572 + 0.897226i \(0.645579\pi\)
\(240\) 0.00989895 0.0131391i 0.000638975 0.000848122i
\(241\) 17.5920 + 22.0597i 1.13320 + 1.42099i 0.892881 + 0.450293i \(0.148681\pi\)
0.240319 + 0.970694i \(0.422748\pi\)
\(242\) −0.559974 0.172729i −0.0359965 0.0111034i
\(243\) 12.7737 + 8.93487i 0.819435 + 0.573172i
\(244\) 1.31439 0.0841455
\(245\) 0.00712107 + 0.0142752i 0.000454949 + 0.000912008i
\(246\) 6.27072 1.12246i 0.399806 0.0715657i
\(247\) −8.49452 4.09075i −0.540493 0.260288i
\(248\) 11.6233 10.7848i 0.738080 0.684838i
\(249\) 20.9985 + 18.4347i 1.33073 + 1.16825i
\(250\) −0.0314651 0.00970568i −0.00199002 0.000613841i
\(251\) −0.385575 + 1.68931i −0.0243373 + 0.106628i −0.985638 0.168874i \(-0.945987\pi\)
0.961300 + 0.275502i \(0.0888441\pi\)
\(252\) 0.610753 + 0.332853i 0.0384738 + 0.0209678i
\(253\) 5.40699 + 23.6896i 0.339934 + 1.48935i
\(254\) −1.72590 + 23.0305i −0.108293 + 1.44507i
\(255\) 0.000574377 0 0.000296348i 3.59689e−5 0 1.85581e-5i
\(256\) 0.156874 + 2.09334i 0.00980464 + 0.130834i
\(257\) −11.2865 + 14.1528i −0.704031 + 0.882828i −0.997317 0.0731972i \(-0.976680\pi\)
0.293286 + 0.956025i \(0.405251\pi\)
\(258\) −5.06960 + 4.97045i −0.315619 + 0.309447i
\(259\) −0.476858 + 15.6613i −0.0296305 + 0.973146i
\(260\) −0.000429315 0 0.000206747i −2.66250e−5 0 1.28219e-5i
\(261\) −10.9641 4.55495i −0.678659 0.281944i
\(262\) −8.68508 22.1292i −0.536566 1.36715i
\(263\) −25.2485 −1.55689 −0.778444 0.627714i \(-0.783991\pi\)
−0.778444 + 0.627714i \(0.783991\pi\)
\(264\) 5.28986 14.6518i 0.325568 0.901757i
\(265\) 0.00702875 + 0.0179090i 0.000431773 + 0.00110014i
\(266\) 4.88976 14.2925i 0.299811 0.876330i
\(267\) −10.2787 9.02374i −0.629048 0.552244i
\(268\) −0.408045 + 0.0615029i −0.0249253 + 0.00375689i
\(269\) 0.682492 9.10723i 0.0416123 0.555278i −0.936968 0.349414i \(-0.886381\pi\)
0.978581 0.205863i \(-0.0660003\pi\)
\(270\) −0.00754334 0.0153573i −0.000459073 0.000934614i
\(271\) −1.35361 + 3.44893i −0.0822258 + 0.209508i −0.966074 0.258266i \(-0.916849\pi\)
0.883848 + 0.467774i \(0.154944\pi\)
\(272\) −0.249306 + 0.635221i −0.0151164 + 0.0385160i
\(273\) 6.13287 + 9.05182i 0.371178 + 0.547841i
\(274\) −1.62209 4.13301i −0.0979939 0.249685i
\(275\) −16.2745 −0.981390
\(276\) −1.11539 + 0.199655i −0.0671384 + 0.0120178i
\(277\) 19.2474 24.1354i 1.15646 1.45016i 0.285791 0.958292i \(-0.407744\pi\)
0.870671 0.491866i \(-0.163685\pi\)
\(278\) 7.30497 2.25329i 0.438123 0.135143i
\(279\) −4.74848 16.5476i −0.284284 0.990677i
\(280\) 0.00896185 + 0.0140447i 0.000535573 + 0.000839332i
\(281\) 0.631155 + 8.42218i 0.0376516 + 0.502425i 0.983869 + 0.178893i \(0.0572514\pi\)
−0.946217 + 0.323532i \(0.895130\pi\)
\(282\) 0.667493 1.23332i 0.0397486 0.0734433i
\(283\) −2.09419 27.9450i −0.124486 1.66116i −0.614108 0.789222i \(-0.710484\pi\)
0.489622 0.871935i \(-0.337135\pi\)
\(284\) −0.669577 + 0.206537i −0.0397321 + 0.0122557i
\(285\) −0.0126409 + 0.00913798i −0.000748782 + 0.000541288i
\(286\) −8.22548 + 7.63213i −0.486383 + 0.451297i
\(287\) −1.20599 + 6.62598i −0.0711873 + 0.391119i
\(288\) 1.37240 + 0.570156i 0.0808696 + 0.0335967i
\(289\) 12.4422 11.5447i 0.731896 0.679100i
\(290\) 0.00812491 + 0.0101883i 0.000477111 + 0.000598278i
\(291\) 4.06502 + 9.57396i 0.238296 + 0.561235i
\(292\) 0.573851 + 0.276352i 0.0335821 + 0.0161723i
\(293\) −14.9722 + 25.9326i −0.874685 + 1.51500i −0.0175868 + 0.999845i \(0.505598\pi\)
−0.857098 + 0.515153i \(0.827735\pi\)
\(294\) −13.2318 + 11.4805i −0.771696 + 0.669554i
\(295\) −0.00540222 0.00935692i −0.000314529 0.000544781i
\(296\) 1.22285 + 16.3178i 0.0710768 + 0.948455i
\(297\) −11.5998 12.3083i −0.673090 0.714198i
\(298\) −10.5642 + 1.59230i −0.611970 + 0.0922396i
\(299\) −17.0204 5.25011i −0.984317 0.303622i
\(300\) 0.0358643 0.758075i 0.00207063 0.0437675i
\(301\) −3.04937 6.85857i −0.175763 0.395321i
\(302\) 4.54958 + 1.40336i 0.261799 + 0.0807544i
\(303\) −2.19581 21.3842i −0.126146 1.22849i
\(304\) 3.66458 16.0556i 0.210178 0.920849i
\(305\) 0.0282424 0.0192553i 0.00161716 0.00110256i
\(306\) 0.472376 + 0.529706i 0.0270039 + 0.0302813i
\(307\) −1.02144 0.491900i −0.0582967 0.0280742i 0.404508 0.914534i \(-0.367443\pi\)
−0.462805 + 0.886460i \(0.653157\pi\)
\(308\) −0.575429 0.488266i −0.0327881 0.0278215i
\(309\) 1.74452 + 16.9893i 0.0992425 + 0.966487i
\(310\) −0.00420467 + 0.0184219i −0.000238809 + 0.00104629i
\(311\) 22.1209 + 3.33419i 1.25436 + 0.189065i 0.742408 0.669948i \(-0.233684\pi\)
0.511954 + 0.859013i \(0.328922\pi\)
\(312\) 7.36250 + 8.72824i 0.416820 + 0.494139i
\(313\) −4.98386 + 8.63230i −0.281704 + 0.487926i −0.971805 0.235787i \(-0.924233\pi\)
0.690100 + 0.723714i \(0.257566\pi\)
\(314\) −6.27430 + 7.86773i −0.354079 + 0.444002i
\(315\) 0.0179994 0.00179527i 0.00101415 0.000101152i
\(316\) −0.679261 0.851766i −0.0382114 0.0479156i
\(317\) −3.96456 + 0.597561i −0.222672 + 0.0335624i −0.259430 0.965762i \(-0.583535\pi\)
0.0367586 + 0.999324i \(0.488297\pi\)
\(318\) −17.1215 + 12.3769i −0.960124 + 0.694064i
\(319\) 10.6431 + 7.25635i 0.595899 + 0.406277i
\(320\) 0.0108265 + 0.0135760i 0.000605221 + 0.000758924i
\(321\) −7.20358 6.32406i −0.402065 0.352974i
\(322\) 5.11021 28.0766i 0.284781 1.56465i
\(323\) 0.403411 0.505861i 0.0224464 0.0281469i
\(324\) 0.598888 0.513201i 0.0332716 0.0285112i
\(325\) 5.96486 10.3314i 0.330871 0.573085i
\(326\) −1.05661 + 1.32494i −0.0585201 + 0.0733819i
\(327\) −27.4798 + 14.1781i −1.51964 + 0.784053i
\(328\) −0.525620 + 7.01391i −0.0290225 + 0.387279i
\(329\) 0.974879 + 1.11701i 0.0537468 + 0.0615826i
\(330\) 0.00462734 + 0.0179777i 0.000254727 + 0.000989640i
\(331\) −1.68793 4.30077i −0.0927769 0.236392i 0.876951 0.480580i \(-0.159574\pi\)
−0.969728 + 0.244188i \(0.921479\pi\)
\(332\) 1.16809 0.796390i 0.0641072 0.0437076i
\(333\) 16.4069 + 6.81616i 0.899095 + 0.373523i
\(334\) 17.6102 + 12.0064i 0.963587 + 0.656962i
\(335\) −0.00786668 + 0.00729921i −0.000429802 + 0.000398798i
\(336\) −13.0309 + 13.9621i −0.710892 + 0.761696i
\(337\) 22.8979 + 21.2461i 1.24733 + 1.15735i 0.981113 + 0.193437i \(0.0619636\pi\)
0.266215 + 0.963914i \(0.414227\pi\)
\(338\) 2.34937 + 10.2933i 0.127789 + 0.559881i
\(339\) −4.87755 + 24.4541i −0.264912 + 1.32816i
\(340\) −7.27656e−6 0 3.18807e-5i −3.94627e−7 0 1.72897e-6i
\(341\) 1.39582 + 18.6260i 0.0755880 + 1.00865i
\(342\) −13.1780 10.9417i −0.712585 0.591662i
\(343\) −6.48056 17.3494i −0.349917 0.936781i
\(344\) −3.91943 6.78865i −0.211321 0.366019i
\(345\) −0.0210415 + 0.0206300i −0.00113283 + 0.00111068i
\(346\) 0.639625 0.593485i 0.0343865 0.0319060i
\(347\) 8.85079 22.5514i 0.475135 1.21062i −0.469626 0.882865i \(-0.655611\pi\)
0.944761 0.327759i \(-0.106293\pi\)
\(348\) −0.361458 + 0.479770i −0.0193762 + 0.0257184i
\(349\) −15.1797 + 4.68233i −0.812553 + 0.250639i −0.673064 0.739584i \(-0.735022\pi\)
−0.139489 + 0.990224i \(0.544546\pi\)
\(350\) 17.5717 + 7.52130i 0.939248 + 0.402030i
\(351\) 12.0651 2.85266i 0.643987 0.152264i
\(352\) −1.33223 0.908297i −0.0710079 0.0484124i
\(353\) −2.40817 + 10.5509i −0.128174 + 0.561568i 0.869532 + 0.493876i \(0.164420\pi\)
−0.997706 + 0.0676914i \(0.978437\pi\)
\(354\) 8.47195 8.30627i 0.450279 0.441473i
\(355\) −0.0113615 + 0.0142469i −0.000603007 + 0.000756147i
\(356\) −0.571776 + 0.389831i −0.0303041 + 0.0206610i
\(357\) −0.699270 + 0.272095i −0.0370093 + 0.0144008i
\(358\) −8.79227 5.99447i −0.464686 0.316817i
\(359\) −15.6297 + 4.82114i −0.824906 + 0.254450i −0.678337 0.734751i \(-0.737299\pi\)
−0.146569 + 0.989200i \(0.546823\pi\)
\(360\) 0.0184969 0.00383914i 0.000974872 0.000202340i
\(361\) 1.69260 2.93167i 0.0890842 0.154298i
\(362\) 5.66110 9.80532i 0.297541 0.515356i
\(363\) −0.367853 0.598473i −0.0193073 0.0314117i
\(364\) 0.520866 0.186339i 0.0273008 0.00976680i
\(365\) 0.0163788 0.00246870i 0.000857305 0.000129218i
\(366\) 28.2079 + 24.7639i 1.47445 + 1.29443i
\(367\) 2.76808 1.33304i 0.144493 0.0695840i −0.360240 0.932860i \(-0.617305\pi\)
0.504733 + 0.863276i \(0.331591\pi\)
\(368\) 2.32502 31.0252i 0.121200 1.61730i
\(369\) 6.53679 + 3.94815i 0.340291 + 0.205533i
\(370\) −0.0121583 0.0152461i −0.000632082 0.000792606i
\(371\) −5.93083 21.5334i −0.307913 1.11796i
\(372\) −0.870682 + 0.0239718i −0.0451428 + 0.00124288i
\(373\) 9.87595 0.511357 0.255679 0.966762i \(-0.417701\pi\)
0.255679 + 0.966762i \(0.417701\pi\)
\(374\) −0.385022 0.666877i −0.0199090 0.0344834i
\(375\) −0.0206698 0.0336283i −0.00106738 0.00173656i
\(376\) 1.13503 + 1.05315i 0.0585347 + 0.0543122i
\(377\) −8.50736 + 4.09693i −0.438151 + 0.211003i
\(378\) 6.83612 + 18.6502i 0.351612 + 0.959263i
\(379\) 21.7945 + 10.4957i 1.11951 + 0.539128i 0.899741 0.436424i \(-0.143755\pi\)
0.219769 + 0.975552i \(0.429470\pi\)
\(380\) 0.000288318 0 0.000734623i 1.47904e−5 0 3.76854e-5i
\(381\) −19.7690 + 19.3824i −1.01280 + 0.992991i
\(382\) −5.35171 + 1.65078i −0.273817 + 0.0844614i
\(383\) −30.9733 + 14.9160i −1.58266 + 0.762170i −0.998766 0.0496584i \(-0.984187\pi\)
−0.583896 + 0.811828i \(0.698472\pi\)
\(384\) −12.5066 + 16.6003i −0.638226 + 0.847129i
\(385\) −0.0195171 0.00206157i −0.000994685 0.000105067i
\(386\) 2.40474 10.5358i 0.122398 0.536260i
\(387\) −8.49801 + 0.468294i −0.431978 + 0.0238047i
\(388\) 0.520370 0.0784332i 0.0264178 0.00398184i
\(389\) 7.89183 + 34.5764i 0.400132 + 1.75309i 0.626858 + 0.779133i \(0.284340\pi\)
−0.226727 + 0.973958i \(0.572802\pi\)
\(390\) −0.0131087 0.00365156i −0.000663783 0.000184904i
\(391\) 0.611175 1.05859i 0.0309084 0.0535350i
\(392\) −8.63388 17.3078i −0.436077 0.874177i
\(393\) 9.67732 26.8042i 0.488156 1.35209i
\(394\) 18.5070 12.6178i 0.932368 0.635678i
\(395\) −0.0270733 0.00835102i −0.00136221 0.000420185i
\(396\) −0.749373 + 0.413138i −0.0376574 + 0.0207610i
\(397\) 5.56236 5.16112i 0.279167 0.259029i −0.528145 0.849154i \(-0.677112\pi\)
0.807312 + 0.590125i \(0.200922\pi\)
\(398\) −4.19735 + 1.29471i −0.210394 + 0.0648979i
\(399\) 15.7086 9.00843i 0.786412 0.450985i
\(400\) 19.9121 + 6.14208i 0.995607 + 0.307104i
\(401\) −10.4649 + 5.03963i −0.522592 + 0.251667i −0.676532 0.736413i \(-0.736518\pi\)
0.153940 + 0.988080i \(0.450804\pi\)
\(402\) −9.91572 6.36789i −0.494551 0.317601i
\(403\) −12.3358 5.94060i −0.614489 0.295922i
\(404\) −1.07547 0.162101i −0.0535067 0.00806484i
\(405\) 0.00535012 0.0198006i 0.000265850 0.000983901i
\(406\) −8.13790 12.7535i −0.403877 0.632943i
\(407\) −15.9266 10.8586i −0.789455 0.538241i
\(408\) −0.696397 + 0.359305i −0.0344768 + 0.0177882i
\(409\) −17.3069 2.60860i −0.855773 0.128987i −0.293521 0.955953i \(-0.594827\pi\)
−0.562252 + 0.826966i \(0.690065\pi\)
\(410\) −0.00419096 0.00725895i −0.000206977 0.000358494i
\(411\) 1.80741 5.00615i 0.0891528 0.246935i
\(412\) 0.854440 + 0.128786i 0.0420953 + 0.00634484i
\(413\) 5.09589 + 11.4616i 0.250753 + 0.563987i
\(414\) −27.6987 16.7297i −1.36132 0.822221i
\(415\) 0.0134320 0.0342241i 0.000659349 0.00167999i
\(416\) 1.06489 0.512824i 0.0522105 0.0251433i
\(417\) 8.36284 + 3.74740i 0.409530 + 0.183511i
\(418\) 11.5868 + 14.5294i 0.566729 + 0.710655i
\(419\) −4.02999 + 0.607423i −0.196878 + 0.0296745i −0.246741 0.969082i \(-0.579360\pi\)
0.0498630 + 0.998756i \(0.484122\pi\)
\(420\) 0.000139039 0 0.000904575i 6.78442e−6 0 4.41387e-5i
\(421\) −24.8727 3.74896i −1.21222 0.182713i −0.488351 0.872647i \(-0.662401\pi\)
−0.723872 + 0.689934i \(0.757639\pi\)
\(422\) −6.27432 10.8674i −0.305429 0.529019i
\(423\) 1.57672 0.583154i 0.0766628 0.0283539i
\(424\) −8.52194 21.7136i −0.413862 1.05450i
\(425\) 0.600142 + 0.556850i 0.0291112 + 0.0270112i
\(426\) −18.2609 8.18274i −0.884745 0.396455i
\(427\) −34.9547 + 18.7865i −1.69157 + 0.909143i
\(428\) −0.400715 + 0.273203i −0.0193693 + 0.0132057i
\(429\) −13.4461 + 0.370201i −0.649183 + 0.0178735i
\(430\) 0.00841645 + 0.00405315i 0.000405877 + 0.000195460i
\(431\) 17.6631 + 16.3890i 0.850803 + 0.789430i 0.979329 0.202276i \(-0.0648338\pi\)
−0.128525 + 0.991706i \(0.541024\pi\)
\(432\) 9.54736 + 19.4372i 0.459348 + 0.935173i
\(433\) −6.24218 27.3488i −0.299980 1.31430i −0.870156 0.492776i \(-0.835982\pi\)
0.570176 0.821522i \(-0.306875\pi\)
\(434\) 7.10094 20.7557i 0.340856 0.996304i
\(435\) −0.000738224 0.0156040i −3.53951e−5 0.000748157i
\(436\) 0.348131 + 1.52526i 0.0166724 + 0.0730468i
\(437\) −10.7774 + 27.4603i −0.515551 + 1.31360i
\(438\) 7.10867 + 16.7424i 0.339665 + 0.799982i
\(439\) −30.8346 + 21.0227i −1.47166 + 1.00336i −0.479611 + 0.877481i \(0.659222\pi\)
−0.992046 + 0.125877i \(0.959825\pi\)
\(440\) −0.0204963 −0.000977121
\(441\) −20.9996 0.122364i −0.999983 0.00582687i
\(442\) 0.564466 0.0268489
\(443\) 2.75842 1.88066i 0.131056 0.0893527i −0.496017 0.868313i \(-0.665205\pi\)
0.627074 + 0.778960i \(0.284252\pi\)
\(444\) 0.540897 0.717942i 0.0256698 0.0340720i
\(445\) −0.00657491 + 0.0167526i −0.000311680 + 0.000794149i
\(446\) −5.41679 23.7325i −0.256492 1.12377i
\(447\) −10.7762 6.92051i −0.509699 0.327329i
\(448\) −10.8438 16.9941i −0.512324 0.802897i
\(449\) 3.12388 + 13.6866i 0.147425 + 0.645910i 0.993595 + 0.112998i \(0.0360453\pi\)
−0.846170 + 0.532912i \(0.821098\pi\)
\(450\) 15.0522 15.5932i 0.709568 0.735070i
\(451\) −6.07367 5.63554i −0.285998 0.265367i
\(452\) 1.13668 + 0.547397i 0.0534650 + 0.0257474i
\(453\) 2.98867 + 4.86238i 0.140420 + 0.228454i
\(454\) 33.3736 22.7537i 1.56630 1.06789i
\(455\) 0.00846207 0.0116343i 0.000396708 0.000545426i
\(456\) 15.3263 11.0793i 0.717722 0.518834i
\(457\) 17.0692 + 15.8379i 0.798464 + 0.740866i 0.969683 0.244367i \(-0.0785801\pi\)
−0.171219 + 0.985233i \(0.554771\pi\)
\(458\) −4.16740 10.6184i −0.194730 0.496163i
\(459\) 0.00661591 + 0.850782i 0.000308804 + 0.0397111i
\(460\) 0.000745455 0.00129117i 3.47570e−5 6.02009e-5i
\(461\) 28.1656 + 4.24528i 1.31180 + 0.197722i 0.767436 0.641125i \(-0.221532\pi\)
0.544366 + 0.838848i \(0.316770\pi\)
\(462\) −3.14997 21.3199i −0.146550 0.991894i
\(463\) −32.4776 + 4.89521i −1.50936 + 0.227500i −0.850986 0.525188i \(-0.823995\pi\)
−0.658377 + 0.752688i \(0.728757\pi\)
\(464\) −10.2834 12.8950i −0.477396 0.598636i
\(465\) −0.0183572 + 0.0132702i −0.000851294 + 0.000615392i
\(466\) −16.1427 + 7.77393i −0.747798 + 0.360121i
\(467\) −5.20585 + 13.2643i −0.240898 + 0.613798i −0.999277 0.0380159i \(-0.987896\pi\)
0.758379 + 0.651813i \(0.225991\pi\)
\(468\) 0.0123871 0.627141i 0.000572595 0.0289896i
\(469\) 9.97238 7.46774i 0.460482 0.344828i
\(470\) −0.00182457 0.000275010i −8.41612e−5 1.26853e-5i
\(471\) −11.8747 + 2.12557i −0.547155 + 0.0979413i
\(472\) 6.54987 + 11.3447i 0.301482 + 0.522183i
\(473\) 9.13093 + 1.37627i 0.419840 + 0.0632808i
\(474\) 1.47026 31.0772i 0.0675311 1.42742i
\(475\) −16.3246 11.1299i −0.749025 0.510677i
\(476\) 0.00451307 + 0.0376943i 0.000206856 + 0.00172771i
\(477\) −25.2127 2.39096i −1.15441 0.109475i
\(478\) 12.6594 + 1.90810i 0.579029 + 0.0872746i
\(479\) −29.2725 14.0969i −1.33749 0.644104i −0.377994 0.925808i \(-0.623386\pi\)
−0.959501 + 0.281705i \(0.909100\pi\)
\(480\) 9.24055e−5 0.00195320i 4.21772e−6 8.91511e-5i
\(481\) 12.7307 6.13076i 0.580468 0.279539i
\(482\) 38.9562 + 12.0164i 1.77441 + 0.547332i
\(483\) 26.8086 21.2517i 1.21984 0.966985i
\(484\) −0.0339632 + 0.0104762i −0.00154378 + 0.000476193i
\(485\) 0.0100322 0.00930851i 0.000455538 0.000422678i
\(486\) 22.5216 + 0.269666i 1.02160 + 0.0122323i
\(487\) −8.33379 2.57063i −0.377640 0.116487i 0.100123 0.994975i \(-0.468076\pi\)
−0.477764 + 0.878488i \(0.658552\pi\)
\(488\) −34.2422 + 23.3460i −1.55007 + 1.05682i
\(489\) −1.99972 + 0.357952i −0.0904306 + 0.0161871i
\(490\) 0.0201200 + 0.0112458i 0.000908930 + 0.000508032i
\(491\) 9.43845 16.3479i 0.425951 0.737769i −0.570557 0.821258i \(-0.693273\pi\)
0.996509 + 0.0834883i \(0.0266061\pi\)
\(492\) 0.275891 0.270495i 0.0124381 0.0121949i
\(493\) −0.144193 0.631752i −0.00649414 0.0284527i
\(494\) −13.4703 + 2.03033i −0.606059 + 0.0913487i
\(495\) −0.0100495 + 0.0198551i −0.000451690 + 0.000892420i
\(496\) 5.32171 23.3160i 0.238952 1.04692i
\(497\) 14.8545 15.0628i 0.666317 0.675659i
\(498\) 40.0725 + 4.91627i 1.79569 + 0.220303i
\(499\) −19.1671 + 9.23041i −0.858039 + 0.413210i −0.810555 0.585662i \(-0.800835\pi\)
−0.0474839 + 0.998872i \(0.515120\pi\)
\(500\) −0.00190840 0.000588663i −8.53461e−5 2.63258e-5i
\(501\) 6.36883 + 24.7436i 0.284538 + 1.10546i
\(502\) 0.914667 + 2.33053i 0.0408236 + 0.104017i
\(503\) −9.41255 4.53285i −0.419685 0.202110i 0.212109 0.977246i \(-0.431967\pi\)
−0.631794 + 0.775136i \(0.717681\pi\)
\(504\) −21.8232 + 2.17666i −0.972084 + 0.0969561i
\(505\) −0.0254834 + 0.0122721i −0.00113400 + 0.000546103i
\(506\) 25.7363 + 23.8798i 1.14412 + 1.06159i
\(507\) −6.02421 + 11.1309i −0.267544 + 0.494340i
\(508\) 0.700375 + 1.21309i 0.0310741 + 0.0538220i
\(509\) −19.7042 −0.873373 −0.436687 0.899614i \(-0.643848\pi\)
−0.436687 + 0.899614i \(0.643848\pi\)
\(510\) 0.000444488 0 0.000821279i 1.96823e−5 0 3.63668e-5i
\(511\) −19.2107 + 0.852767i −0.849831 + 0.0377242i
\(512\) −13.0724 16.3923i −0.577724 0.724442i
\(513\) −3.21806 20.2791i −0.142081 0.895346i
\(514\) −1.95457 + 26.0820i −0.0862125 + 1.15043i
\(515\) 0.0202460 0.00974998i 0.000892147 0.000429635i
\(516\) −0.0842290 + 0.422290i −0.00370798 + 0.0185903i
\(517\) −1.80358 + 0.271845i −0.0793212 + 0.0119558i
\(518\) 12.1778 + 19.0846i 0.535061 + 0.838531i
\(519\) 1.04559 0.0287874i 0.0458961 0.00126362i
\(520\) 0.00751220 0.0130115i 0.000329432 0.000570592i
\(521\) 7.01682 12.1535i 0.307412 0.532454i −0.670383 0.742015i \(-0.733870\pi\)
0.977796 + 0.209561i \(0.0672036\pi\)
\(522\) −16.7963 + 3.48617i −0.735154 + 0.152586i
\(523\) −31.6589 + 9.76547i −1.38435 + 0.427014i −0.895386 0.445292i \(-0.853100\pi\)
−0.488960 + 0.872306i \(0.662624\pi\)
\(524\) −1.19130 0.812215i −0.0520422 0.0354818i
\(525\) 9.88133 + 20.6726i 0.431257 + 0.902228i
\(526\) −30.1417 + 20.5503i −1.31424 + 0.896035i
\(527\) 0.585835 0.734614i 0.0255194 0.0320003i
\(528\) −5.85668 22.7538i −0.254879 0.990232i
\(529\) −7.28319 + 31.9097i −0.316660 + 1.38738i
\(530\) 0.0229674 + 0.0156589i 0.000997641 + 0.000680180i
\(531\) 14.2013 0.782580i 0.616283 0.0339611i
\(532\) −0.243282 0.883298i −0.0105476 0.0382958i
\(533\) 5.80367 1.79020i 0.251385 0.0775420i
\(534\) −19.6154 2.40650i −0.848841 0.104139i
\(535\) −0.00460785 + 0.0117406i −0.000199215 + 0.000507591i
\(536\) 9.53788 8.84986i 0.411974 0.382256i
\(537\) −3.17977 12.3538i −0.137217 0.533104i
\(538\) −6.59780 11.4277i −0.284452 0.492684i
\(539\) 22.2815 + 4.76026i 0.959733 + 0.205039i
\(540\) −0.000902714 0 0.000511864i −3.88466e−5 0 2.20271e-5i
\(541\) 1.43509 + 19.1499i 0.0616993 + 0.823320i 0.939118 + 0.343595i \(0.111645\pi\)
−0.877419 + 0.479725i \(0.840736\pi\)
\(542\) 1.19122 + 5.21908i 0.0511673 + 0.224179i
\(543\) 12.8546 4.35604i 0.551645 0.186936i
\(544\) 0.0180491 + 0.0790781i 0.000773847 + 0.00339045i
\(545\) 0.0298248 + 0.0276733i 0.00127755 + 0.00118540i
\(546\) 14.6889 + 5.81442i 0.628627 + 0.248834i
\(547\) 19.8549 18.4226i 0.848933 0.787695i −0.130077 0.991504i \(-0.541523\pi\)
0.979011 + 0.203809i \(0.0653321\pi\)
\(548\) −0.222496 0.151695i −0.00950455 0.00648010i
\(549\) 5.82642 + 44.6178i 0.248666 + 1.90424i
\(550\) −19.4286 + 13.2462i −0.828437 + 0.564819i
\(551\) 5.71335 + 14.5574i 0.243397 + 0.620165i
\(552\) 25.5115 25.0126i 1.08584 1.06461i
\(553\) 30.2383 + 12.9430i 1.28586 + 0.550394i
\(554\) 3.33322 44.4788i 0.141615 1.88972i
\(555\) 0.00110470 0.0233503i 4.68919e−5 0.000991167i
\(556\) 0.289084 0.362500i 0.0122599 0.0153734i
\(557\) −16.7633 + 29.0349i −0.710284 + 1.23025i 0.254466 + 0.967082i \(0.418100\pi\)
−0.964750 + 0.263167i \(0.915233\pi\)
\(558\) −19.1372 15.8897i −0.810141 0.672663i
\(559\) −4.22031 + 5.29210i −0.178500 + 0.223832i
\(560\) 0.0231015 + 0.00988823i 0.000976216 + 0.000417854i
\(561\) 0.180563 0.905269i 0.00762337 0.0382205i
\(562\) 7.60846 + 9.54071i 0.320944 + 0.402451i
\(563\) 13.1495 + 8.96521i 0.554187 + 0.377838i 0.807790 0.589470i \(-0.200663\pi\)
−0.253603 + 0.967308i \(0.581616\pi\)
\(564\) −0.00868813 0.0846106i −0.000365836 0.00356275i
\(565\) 0.0324430 0.00489000i 0.00136489 0.000205724i
\(566\) −25.2451 31.6563i −1.06113 1.33061i
\(567\) −8.59153 + 22.2078i −0.360810 + 0.932639i
\(568\) 13.7752 17.2735i 0.577994 0.724781i
\(569\) 22.9608 39.7692i 0.962566 1.66721i 0.246548 0.969130i \(-0.420704\pi\)
0.716017 0.698082i \(-0.245963\pi\)
\(570\) −0.00765315 + 0.0211976i −0.000320555 + 0.000887872i
\(571\) 7.87441 + 1.18688i 0.329534 + 0.0496692i 0.311725 0.950172i \(-0.399093\pi\)
0.0178082 + 0.999841i \(0.494331\pi\)
\(572\) −0.151439 + 0.663498i −0.00633198 + 0.0277422i
\(573\) −6.12672 2.74539i −0.255947 0.114690i
\(574\) 3.95331 + 8.89170i 0.165008 + 0.371132i
\(575\) −33.6299 16.1953i −1.40246 0.675390i
\(576\) −22.3813 + 4.64537i −0.932553 + 0.193557i
\(577\) 20.3416 13.8687i 0.846833 0.577361i −0.0603117 0.998180i \(-0.519209\pi\)
0.907145 + 0.420819i \(0.138257\pi\)
\(578\) 5.45709 23.9091i 0.226985 0.994487i
\(579\) 10.4989 7.58952i 0.436317 0.315410i
\(580\) 0.000755254 0 0.000232965i 3.13602e−5 0 9.67335e-6i
\(581\) −19.6811 + 37.8744i −0.816511 + 1.57129i
\(582\) 12.6453 + 8.12081i 0.524164 + 0.336619i
\(583\) 26.2569 + 8.09920i 1.08745 + 0.335434i
\(584\) −19.8583 + 2.99316i −0.821742 + 0.123858i
\(585\) −0.00892119 0.0136568i −0.000368846 0.000564641i
\(586\) 3.23324 + 43.1446i 0.133564 + 1.78229i
\(587\) −11.1669 19.3416i −0.460906 0.798312i 0.538100 0.842881i \(-0.319142\pi\)
−0.999006 + 0.0445683i \(0.985809\pi\)
\(588\) −0.270837 + 1.02739i −0.0111691 + 0.0423690i
\(589\) −11.3379 + 19.6379i −0.467172 + 0.809165i
\(590\) −0.0140650 0.00677334i −0.000579046 0.000278854i
\(591\) 26.6514 + 3.26971i 1.09629 + 0.134498i
\(592\) 15.3884 + 19.2965i 0.632460 + 0.793080i
\(593\) 30.0346 27.8680i 1.23337 1.14440i 0.248964 0.968513i \(-0.419910\pi\)
0.984410 0.175891i \(-0.0562805\pi\)
\(594\) −23.8659 5.25232i −0.979228 0.215505i
\(595\) 0.000649178 0 0.000743823i 2.66137e−5 0 3.04938e-5i
\(596\) −0.474997 + 0.440733i −0.0194566 + 0.0180531i
\(597\) −4.80519 2.15321i −0.196663 0.0881250i
\(598\) −24.5922 + 7.58569i −1.00565 + 0.310202i
\(599\) −0.805020 10.7422i −0.0328922 0.438916i −0.989202 0.146560i \(-0.953180\pi\)
0.956310 0.292356i \(-0.0944392\pi\)
\(600\) 12.5304 + 20.3862i 0.511552 + 0.832262i
\(601\) 1.30186 + 17.3721i 0.0531039 + 0.708623i 0.958689 + 0.284457i \(0.0918134\pi\)
−0.905585 + 0.424165i \(0.860568\pi\)
\(602\) −9.22268 5.70584i −0.375888 0.232553i
\(603\) −3.89652 13.5787i −0.158679 0.552966i
\(604\) 0.275938 0.0851157i 0.0112278 0.00346331i
\(605\) −0.000576294 0 0.000722650i −2.34297e−5 0 2.93799e-5i
\(606\) −20.0264 23.7413i −0.813516 0.964423i
\(607\) 3.10012 0.125830 0.0629151 0.998019i \(-0.479960\pi\)
0.0629151 + 0.998019i \(0.479960\pi\)
\(608\) −0.715156 1.82219i −0.0290034 0.0738995i
\(609\) 2.75522 17.9252i 0.111647 0.726364i
\(610\) 0.0180435 0.0459742i 0.000730561 0.00186144i
\(611\) 0.488465 1.24459i 0.0197612 0.0503507i
\(612\) 0.0417699 + 0.0104057i 0.00168845 + 0.000420624i
\(613\) −0.259045 + 3.45672i −0.0104627 + 0.139615i −0.999989 0.00473903i \(-0.998492\pi\)
0.989526 + 0.144354i \(0.0461106\pi\)
\(614\) −1.61977 + 0.244141i −0.0653685 + 0.00985272i
\(615\) 0.00196542 0.00985383i 7.92535e−5 0.000397345i
\(616\) 23.6634 + 2.49953i 0.953424 + 0.100709i
\(617\) 5.23285 + 13.3331i 0.210667 + 0.536770i 0.996678 0.0814420i \(-0.0259525\pi\)
−0.786011 + 0.618212i \(0.787857\pi\)
\(618\) 15.9106 + 18.8620i 0.640017 + 0.758739i
\(619\) 21.7113 0.872650 0.436325 0.899789i \(-0.356280\pi\)
0.436325 + 0.899789i \(0.356280\pi\)
\(620\) 0.000418697 0.00106682i 1.68153e−5 4.28446e-5i
\(621\) −11.7217 36.9773i −0.470374 1.48385i
\(622\) 29.1218 14.0243i 1.16768 0.562324i
\(623\) 9.63385 18.5394i 0.385972 0.742765i
\(624\) 16.5912 + 4.62167i 0.664180 + 0.185015i
\(625\) 15.5872 19.5457i 0.623488 0.781829i
\(626\) 1.07626 + 14.3617i 0.0430161 + 0.574010i
\(627\) −1.05277 + 22.2527i −0.0420435 + 0.888686i
\(628\) −0.0456113 + 0.608640i −0.00182009 + 0.0242874i
\(629\) 0.215775 + 0.945371i 0.00860350 + 0.0376944i
\(630\) 0.0200266 0.0167933i 0.000797877 0.000669062i
\(631\) −8.51568 + 37.3096i −0.339004 + 1.48527i 0.462143 + 0.886806i \(0.347081\pi\)
−0.801147 + 0.598468i \(0.795776\pi\)
\(632\) 32.8248 + 10.1251i 1.30570 + 0.402755i
\(633\) 2.94246 14.7523i 0.116952 0.586350i
\(634\) −4.24654 + 3.94021i −0.168652 + 0.156486i
\(635\) 0.0328202 + 0.0158054i 0.00130243 + 0.000627217i
\(636\) −0.435127 + 1.20521i −0.0172539 + 0.0477898i
\(637\) −11.1884 + 12.4001i −0.443302 + 0.491311i
\(638\) 18.6119 0.736851
\(639\) −9.97910 21.8136i −0.394767 0.862933i
\(640\) 0.0261321 + 0.00806070i 0.00103296 + 0.000318627i
\(641\) −22.9975 28.8379i −0.908346 1.13903i −0.989816 0.142354i \(-0.954533\pi\)
0.0814702 0.996676i \(-0.474038\pi\)
\(642\) −13.7469 1.68653i −0.542548 0.0665622i
\(643\) 17.5130 + 16.2497i 0.690644 + 0.640824i 0.945298 0.326208i \(-0.105771\pi\)
−0.254654 + 0.967032i \(0.581961\pi\)
\(644\) −0.703184 1.58159i −0.0277093 0.0623232i
\(645\) 0.00437655 + 0.0103077i 0.000172326 + 0.000405864i
\(646\) 0.0698619 0.932243i 0.00274868 0.0366786i
\(647\) 27.7151 + 25.7159i 1.08959 + 1.01100i 0.999887 + 0.0150273i \(0.00478351\pi\)
0.0897069 + 0.995968i \(0.471407\pi\)
\(648\) −6.48670 + 24.0071i −0.254822 + 0.943087i
\(649\) −15.2590 2.29992i −0.598967 0.0902797i
\(650\) −1.28811 17.1886i −0.0505238 0.674194i
\(651\) 22.8121 13.0821i 0.894075 0.512727i
\(652\) −0.00768105 + 0.102496i −0.000300813 + 0.00401407i
\(653\) −4.65927 + 20.4136i −0.182331 + 0.798846i 0.798186 + 0.602412i \(0.205793\pi\)
−0.980517 + 0.196434i \(0.937064\pi\)
\(654\) −21.2656 + 39.2923i −0.831550 + 1.53645i
\(655\) −0.0374961 −0.00146509
\(656\) 5.30436 + 9.18741i 0.207100 + 0.358708i
\(657\) −6.83715 + 20.7047i −0.266743 + 0.807765i
\(658\) 2.07297 + 0.540013i 0.0808127 + 0.0210519i
\(659\) −0.524069 + 1.33531i −0.0204148 + 0.0520162i −0.940718 0.339190i \(-0.889847\pi\)
0.920303 + 0.391206i \(0.127942\pi\)
\(660\) 0.000846116 0 0.000742810i 3.29350e−5 0 2.89138e-5i
\(661\) −14.9246 10.1754i −0.580500 0.395778i 0.237168 0.971469i \(-0.423781\pi\)
−0.817668 + 0.575690i \(0.804733\pi\)
\(662\) −5.51554 3.76043i −0.214368 0.146153i
\(663\) 0.508507 + 0.446420i 0.0197488 + 0.0173375i
\(664\) −16.2855 + 41.4947i −0.631998 + 1.61030i
\(665\) −0.0181673 0.0154155i −0.000704500 0.000597786i
\(666\) 25.1345 5.21681i 0.973941 0.202147i
\(667\) 14.7720 + 25.5859i 0.571975 + 0.990690i
\(668\) 1.29270 0.0500162
\(669\) 13.8896 25.6637i 0.537003 0.992217i
\(670\) −0.00345028 + 0.0151167i −0.000133296 + 0.000584008i
\(671\) 3.64832 48.6834i 0.140842 1.87940i
\(672\) −0.344878 + 2.24374i −0.0133040 + 0.0865543i
\(673\) −3.71567 49.5822i −0.143229 1.91125i −0.356559 0.934273i \(-0.616050\pi\)
0.213330 0.976980i \(-0.431569\pi\)
\(674\) 44.6282 + 6.72663i 1.71902 + 0.259100i
\(675\) 25.8922 2.14295i 0.996592 0.0824820i
\(676\) 0.469414 + 0.435553i 0.0180544 + 0.0167520i
\(677\) 2.26839 30.2696i 0.0871814 1.16335i −0.766389 0.642377i \(-0.777948\pi\)
0.853570 0.520978i \(-0.174433\pi\)
\(678\) 14.0808 + 33.1633i 0.540771 + 1.27363i
\(679\) −12.7175 + 9.52343i −0.488055 + 0.365476i
\(680\) 0.000755824 0 0.000701302i 2.89845e−5 0 2.68937e-5i
\(681\) 48.0604 + 5.89625i 1.84168 + 0.225945i
\(682\) 16.8264 + 21.0996i 0.644316 + 0.807947i
\(683\) 21.2928 + 6.56797i 0.814747 + 0.251316i 0.674002 0.738730i \(-0.264574\pi\)
0.140745 + 0.990046i \(0.455050\pi\)
\(684\) −1.03422 0.0980769i −0.0395444 0.00375006i
\(685\) −0.00700305 −0.000267573
\(686\) −21.8576 15.4371i −0.834526 0.589392i
\(687\) 4.64351 12.8616i 0.177161 0.490699i
\(688\) −10.6524 5.12994i −0.406120 0.195577i
\(689\) −14.7651 + 13.7000i −0.562507 + 0.521930i
\(690\) −0.00832820 + 0.0417542i −0.000317049 + 0.00158955i
\(691\) 13.7690 + 4.24717i 0.523797 + 0.161570i 0.545367 0.838197i \(-0.316390\pi\)
−0.0215702 + 0.999767i \(0.506867\pi\)
\(692\) 0.0117761 0.0515945i 0.000447661 0.00196133i
\(693\) 14.0237 21.6976i 0.532715 0.824223i
\(694\) −7.78899 34.1258i −0.295666 1.29540i
\(695\) 0.000901075 0.0120240i 3.41797e−5 0.000456097i
\(696\) 0.895052 18.9190i 0.0339269 0.717122i
\(697\) 0.0311475 + 0.415635i 0.00117980 + 0.0157433i
\(698\) −14.3106 + 17.9449i −0.541663 + 0.679224i
\(699\) −20.6906 5.76360i −0.782590 0.217999i
\(700\) 1.13754 0.223446i 0.0429948 0.00844548i
\(701\) 19.0167 9.15794i 0.718249 0.345891i −0.0388011 0.999247i \(-0.512354\pi\)
0.757051 + 0.653356i \(0.226640\pi\)
\(702\) 12.0815 13.2255i 0.455987 0.499166i
\(703\) −8.54962 21.7841i −0.322455 0.821602i
\(704\) 24.8005 0.934705
\(705\) −0.00142619 0.00169075i −5.37135e−5 6.36773e-5i
\(706\) 5.71272 + 14.5558i 0.215001 + 0.547813i
\(707\) 30.9177 11.0607i 1.16278 0.415982i
\(708\) 0.140758 0.705702i 0.00529000 0.0265219i
\(709\) 2.99187 0.450952i 0.112362 0.0169359i −0.0926205 0.995701i \(-0.529524\pi\)
0.204983 + 0.978766i \(0.434286\pi\)
\(710\) −0.00196757 + 0.0262554i −7.38416e−5 + 0.000985347i
\(711\) 25.9026 26.8335i 0.971424 1.00634i
\(712\) 7.97168 20.3115i 0.298751 0.761206i
\(713\) −15.6509 + 39.8779i −0.586132 + 1.49344i
\(714\) −0.613326 + 0.893978i −0.0229532 + 0.0334563i
\(715\) 0.00646600 + 0.0164751i 0.000241815 + 0.000616134i
\(716\) −0.645410 −0.0241201
\(717\) 9.89535 + 11.7309i 0.369549 + 0.438100i
\(718\) −14.7348 + 18.4769i −0.549898 + 0.689550i
\(719\) 10.8142 3.33574i 0.403302 0.124402i −0.0864663 0.996255i \(-0.527557\pi\)
0.489769 + 0.871853i \(0.337081\pi\)
\(720\) 0.0197891 0.0205003i 0.000737497 0.000764002i
\(721\) −24.5635 + 8.78753i −0.914792 + 0.327265i
\(722\) −0.365516 4.87748i −0.0136031 0.181521i
\(723\) 25.5908 + 41.6345i 0.951731 + 1.54840i
\(724\) −0.0513177 0.684787i −0.00190721 0.0254499i
\(725\) −18.9085 + 5.83251i −0.702245 + 0.216614i
\(726\) −0.926254 0.415055i −0.0343765 0.0154042i
\(727\) 17.5285 16.2641i 0.650098 0.603202i −0.284600 0.958646i \(-0.591861\pi\)
0.934698 + 0.355444i \(0.115670\pi\)
\(728\) −10.2598 + 14.1059i −0.380252 + 0.522801i
\(729\) 20.0756 + 18.0546i 0.743541 + 0.668690i
\(730\) 0.0175437 0.0162782i 0.000649322 0.000602483i
\(731\) −0.289623 0.363176i −0.0107121 0.0134325i
\(732\) 2.25966 + 0.277224i 0.0835193 + 0.0102465i
\(733\) −31.9843 15.4028i −1.18137 0.568916i −0.263057 0.964780i \(-0.584731\pi\)
−0.918309 + 0.395864i \(0.870445\pi\)
\(734\) 2.21956 3.84439i 0.0819253 0.141899i
\(735\) 0.00923143 + 0.0260433i 0.000340506 + 0.000960621i
\(736\) −1.84906 3.20266i −0.0681571 0.118052i
\(737\) 1.14539 + 15.2841i 0.0421909 + 0.562999i
\(738\) 11.0171 0.607113i 0.405546 0.0223481i
\(739\) −8.27160 + 1.24674i −0.304276 + 0.0458622i −0.299405 0.954126i \(-0.596788\pi\)
−0.00487014 + 0.999988i \(0.501550\pi\)
\(740\) −0.00113018 0.000348616i −4.15464e−5 1.28154e-5i
\(741\) −13.7407 8.82427i −0.504776 0.324168i
\(742\) −24.6068 20.8795i −0.903343 0.766509i
\(743\) 14.5201 + 4.47885i 0.532690 + 0.164313i 0.549419 0.835547i \(-0.314849\pi\)
−0.0167289 + 0.999860i \(0.505325\pi\)
\(744\) 22.2570 16.0894i 0.815981 0.589864i
\(745\) −0.00374971 + 0.0164286i −0.000137379 + 0.000601896i
\(746\) 11.7899 8.03825i 0.431660 0.294301i
\(747\) 32.2117 + 36.1212i 1.17857 + 1.32160i
\(748\) −0.0420790 0.0202642i −0.00153856 0.000740932i
\(749\) 6.75164 12.9929i 0.246699 0.474749i
\(750\) −0.0520464 0.0233221i −0.00190047 0.000851601i
\(751\) −3.15022 + 13.8020i −0.114953 + 0.503643i 0.884368 + 0.466791i \(0.154590\pi\)
−0.999321 + 0.0368517i \(0.988267\pi\)
\(752\) 2.30930 + 0.348071i 0.0842116 + 0.0126929i
\(753\) −1.01917 + 2.82288i −0.0371404 + 0.102871i
\(754\) −6.82154 + 11.8152i −0.248426 + 0.430286i
\(755\) 0.00468218 0.00587127i 0.000170402 0.000213677i
\(756\) 0.979780 + 0.701045i 0.0356342 + 0.0254967i
\(757\) 12.5366 + 15.7204i 0.455650 + 0.571367i 0.955592 0.294692i \(-0.0952170\pi\)
−0.499943 + 0.866059i \(0.666646\pi\)
\(758\) 34.5610 5.20924i 1.25531 0.189208i
\(759\) 4.29902 + 41.8666i 0.156044 + 1.51966i
\(760\) −0.0205594 0.0140171i −0.000745767 0.000508455i
\(761\) −3.00734 3.77109i −0.109016 0.136702i 0.724330 0.689453i \(-0.242149\pi\)
−0.833346 + 0.552752i \(0.813578\pi\)
\(762\) −7.82457 + 39.2292i −0.283454 + 1.42112i
\(763\) −31.0585 35.5866i −1.12439 1.28832i
\(764\) −0.211787 + 0.265572i −0.00766217 + 0.00960806i
\(765\) 0.00104995 0.000388326i 3.79610e−5 1.40400e-5i
\(766\) −24.8356 + 43.0165i −0.897347 + 1.55425i
\(767\) 7.05269 8.84379i 0.254658 0.319331i
\(768\) −0.171823 + 3.63188i −0.00620014 + 0.131054i
\(769\) 1.23636 16.4981i 0.0445844 0.594938i −0.929510 0.368797i \(-0.879770\pi\)
0.974095 0.226141i \(-0.0726110\pi\)
\(770\) −0.0249776 + 0.0134243i −0.000900129 + 0.000483778i
\(771\) −22.3883 + 21.9505i −0.806295 + 0.790527i