Properties

Label 637.2.bl.a.53.9
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.9
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.15236 - 0.785668i) q^{2} +(1.86576 + 1.73118i) q^{3} +(-0.0200159 - 0.0509996i) q^{4} +(-1.72793 + 0.532996i) q^{5} +(-0.789908 - 3.46081i) q^{6} +(-0.964248 - 2.46378i) q^{7} +(-0.637707 + 2.79398i) q^{8} +(0.259914 + 3.46832i) q^{9} +O(q^{10})\) \(q+(-1.15236 - 0.785668i) q^{2} +(1.86576 + 1.73118i) q^{3} +(-0.0200159 - 0.0509996i) q^{4} +(-1.72793 + 0.532996i) q^{5} +(-0.789908 - 3.46081i) q^{6} +(-0.964248 - 2.46378i) q^{7} +(-0.637707 + 2.79398i) q^{8} +(0.259914 + 3.46832i) q^{9} +(2.40996 + 0.743375i) q^{10} +(0.185892 - 2.48055i) q^{11} +(0.0509444 - 0.129804i) q^{12} +(0.900969 - 0.433884i) q^{13} +(-0.824550 + 3.59675i) q^{14} +(-4.14662 - 1.99691i) q^{15} +(2.84968 - 2.64412i) q^{16} +(7.11388 - 1.07224i) q^{17} +(2.42543 - 4.20096i) q^{18} +(-1.55764 - 2.69791i) q^{19} +(0.0617687 + 0.0774555i) q^{20} +(2.46618 - 6.26612i) q^{21} +(-2.16310 + 2.71245i) q^{22} +(8.21367 + 1.23801i) q^{23} +(-6.02668 + 4.10892i) q^{24} +(-1.42953 + 0.974638i) q^{25} +(-1.37913 - 0.207871i) q^{26} +(-0.758605 + 0.951261i) q^{27} +(-0.106352 + 0.0984911i) q^{28} +(-5.32693 - 6.67976i) q^{29} +(3.20951 + 5.55903i) q^{30} +(4.83641 - 8.37692i) q^{31} +(0.306373 - 0.0461782i) q^{32} +(4.64110 - 4.30631i) q^{33} +(-9.04020 - 4.35353i) q^{34} +(2.97934 + 3.74331i) q^{35} +(0.171680 - 0.0826769i) q^{36} +(-0.590165 + 1.50372i) q^{37} +(-0.324695 + 4.33276i) q^{38} +(2.43212 + 0.750211i) q^{39} +(-0.387265 - 5.16770i) q^{40} +(-0.591849 + 2.59306i) q^{41} +(-7.76502 + 5.28324i) q^{42} +(1.01510 + 4.44745i) q^{43} +(-0.130228 + 0.0401700i) q^{44} +(-2.29771 - 5.85448i) q^{45} +(-8.49246 - 7.87985i) q^{46} +(6.50246 + 4.43330i) q^{47} +9.89427 q^{48} +(-5.14045 + 4.75140i) q^{49} +2.41308 q^{50} +(15.1291 + 10.3148i) q^{51} +(-0.0401616 - 0.0372645i) q^{52} +(-1.64788 - 4.19873i) q^{53} +(1.62156 - 0.500186i) q^{54} +(1.00092 + 4.38530i) q^{55} +(7.49866 - 1.12292i) q^{56} +(1.76437 - 7.73021i) q^{57} +(0.890485 + 11.8827i) q^{58} +(9.86934 + 3.04429i) q^{59} +(-0.0188433 + 0.251446i) q^{60} +(2.14718 - 5.47093i) q^{61} +(-12.1548 + 5.85343i) q^{62} +(8.29455 - 3.98469i) q^{63} +(-7.39423 - 3.56087i) q^{64} +(-1.32555 + 1.22993i) q^{65} +(-8.73156 + 1.31607i) q^{66} +(1.07641 - 1.86439i) q^{67} +(-0.197075 - 0.341343i) q^{68} +(13.1815 + 16.5291i) q^{69} +(-0.492288 - 6.65442i) q^{70} +(-0.825710 + 1.03541i) q^{71} +(-9.85614 - 1.48557i) q^{72} +(-6.46159 + 4.40544i) q^{73} +(1.86150 - 1.26915i) q^{74} +(-4.35444 - 0.656326i) q^{75} +(-0.106415 + 0.133440i) q^{76} +(-6.29079 + 1.93387i) q^{77} +(-2.21327 - 2.77536i) q^{78} +(-5.70950 - 9.88914i) q^{79} +(-3.51475 + 6.08773i) q^{80} +(7.25540 - 1.09358i) q^{81} +(2.71931 - 2.52315i) q^{82} +(-14.3242 - 6.89819i) q^{83} +(-0.368933 - 0.000352414i) q^{84} +(-11.7208 + 5.64444i) q^{85} +(2.32445 - 5.92261i) q^{86} +(1.62504 - 21.6847i) q^{87} +(6.81206 + 2.10124i) q^{88} +(-0.638431 - 8.51927i) q^{89} +(-1.95187 + 8.55172i) q^{90} +(-1.93775 - 1.80142i) q^{91} +(-0.101266 - 0.443674i) q^{92} +(23.5255 - 7.25666i) q^{93} +(-4.01009 - 10.2175i) q^{94} +(4.12947 + 3.83159i) q^{95} +(0.651561 + 0.444227i) q^{96} -14.7327 q^{97} +(9.65668 - 1.43665i) q^{98} +8.65165 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.15236 0.785668i −0.814843 0.555551i 0.0826500 0.996579i \(-0.473662\pi\)
−0.897493 + 0.441028i \(0.854614\pi\)
\(3\) 1.86576 + 1.73118i 1.07720 + 0.999495i 0.999997 + 0.00247905i \(0.000789108\pi\)
0.0772020 + 0.997015i \(0.475401\pi\)
\(4\) −0.0200159 0.0509996i −0.0100079 0.0254998i
\(5\) −1.72793 + 0.532996i −0.772754 + 0.238363i −0.655963 0.754793i \(-0.727737\pi\)
−0.116792 + 0.993156i \(0.537261\pi\)
\(6\) −0.789908 3.46081i −0.322478 1.41287i
\(7\) −0.964248 2.46378i −0.364452 0.931222i
\(8\) −0.637707 + 2.79398i −0.225464 + 0.987820i
\(9\) 0.259914 + 3.46832i 0.0866381 + 1.15611i
\(10\) 2.40996 + 0.743375i 0.762097 + 0.235076i
\(11\) 0.185892 2.48055i 0.0560485 0.747915i −0.896406 0.443234i \(-0.853831\pi\)
0.952455 0.304681i \(-0.0985498\pi\)
\(12\) 0.0509444 0.129804i 0.0147064 0.0374713i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) −0.824550 + 3.59675i −0.220370 + 0.961272i
\(15\) −4.14662 1.99691i −1.07065 0.515599i
\(16\) 2.84968 2.64412i 0.712421 0.661030i
\(17\) 7.11388 1.07224i 1.72537 0.260058i 0.789842 0.613311i \(-0.210163\pi\)
0.935528 + 0.353253i \(0.114925\pi\)
\(18\) 2.42543 4.20096i 0.571679 0.990176i
\(19\) −1.55764 2.69791i −0.357347 0.618943i 0.630170 0.776457i \(-0.282985\pi\)
−0.987517 + 0.157514i \(0.949652\pi\)
\(20\) 0.0617687 + 0.0774555i 0.0138119 + 0.0173196i
\(21\) 2.46618 6.26612i 0.538165 1.36738i
\(22\) −2.16310 + 2.71245i −0.461175 + 0.578296i
\(23\) 8.21367 + 1.23801i 1.71267 + 0.258143i 0.930860 0.365376i \(-0.119060\pi\)
0.781808 + 0.623520i \(0.214298\pi\)
\(24\) −6.02668 + 4.10892i −1.23019 + 0.838729i
\(25\) −1.42953 + 0.974638i −0.285906 + 0.194928i
\(26\) −1.37913 0.207871i −0.270470 0.0407668i
\(27\) −0.758605 + 0.951261i −0.145994 + 0.183070i
\(28\) −0.106352 + 0.0984911i −0.0200986 + 0.0186131i
\(29\) −5.32693 6.67976i −0.989186 1.24040i −0.970631 0.240572i \(-0.922665\pi\)
−0.0185541 0.999828i \(-0.505906\pi\)
\(30\) 3.20951 + 5.55903i 0.585973 + 1.01493i
\(31\) 4.83641 8.37692i 0.868646 1.50454i 0.00526445 0.999986i \(-0.498324\pi\)
0.863381 0.504552i \(-0.168342\pi\)
\(32\) 0.306373 0.0461782i 0.0541595 0.00816324i
\(33\) 4.64110 4.30631i 0.807912 0.749633i
\(34\) −9.04020 4.35353i −1.55038 0.746624i
\(35\) 2.97934 + 3.74331i 0.503601 + 0.632734i
\(36\) 0.171680 0.0826769i 0.0286134 0.0137795i
\(37\) −0.590165 + 1.50372i −0.0970225 + 0.247209i −0.971142 0.238501i \(-0.923344\pi\)
0.874120 + 0.485711i \(0.161439\pi\)
\(38\) −0.324695 + 4.33276i −0.0526725 + 0.702866i
\(39\) 2.43212 + 0.750211i 0.389451 + 0.120130i
\(40\) −0.387265 5.16770i −0.0612320 0.817085i
\(41\) −0.591849 + 2.59306i −0.0924314 + 0.404968i −0.999885 0.0151846i \(-0.995166\pi\)
0.907453 + 0.420153i \(0.138024\pi\)
\(42\) −7.76502 + 5.28324i −1.19817 + 0.815222i
\(43\) 1.01510 + 4.44745i 0.154802 + 0.678230i 0.991450 + 0.130489i \(0.0416548\pi\)
−0.836648 + 0.547741i \(0.815488\pi\)
\(44\) −0.130228 + 0.0401700i −0.0196326 + 0.00605586i
\(45\) −2.29771 5.85448i −0.342523 0.872734i
\(46\) −8.49246 7.87985i −1.25214 1.16182i
\(47\) 6.50246 + 4.43330i 0.948481 + 0.646663i 0.935528 0.353253i \(-0.114924\pi\)
0.0129531 + 0.999916i \(0.495877\pi\)
\(48\) 9.89427 1.42812
\(49\) −5.14045 + 4.75140i −0.734350 + 0.678771i
\(50\) 2.41308 0.341261
\(51\) 15.1291 + 10.3148i 2.11849 + 1.44436i
\(52\) −0.0401616 0.0372645i −0.00556941 0.00516766i
\(53\) −1.64788 4.19873i −0.226353 0.576739i 0.771905 0.635738i \(-0.219304\pi\)
−0.998258 + 0.0589992i \(0.981209\pi\)
\(54\) 1.62156 0.500186i 0.220667 0.0680667i
\(55\) 1.00092 + 4.38530i 0.134964 + 0.591314i
\(56\) 7.49866 1.12292i 1.00205 0.150056i
\(57\) 1.76437 7.73021i 0.233696 1.02389i
\(58\) 0.890485 + 11.8827i 0.116926 + 1.56027i
\(59\) 9.86934 + 3.04429i 1.28488 + 0.396332i 0.860638 0.509217i \(-0.170065\pi\)
0.424240 + 0.905550i \(0.360541\pi\)
\(60\) −0.0188433 + 0.251446i −0.00243266 + 0.0324615i
\(61\) 2.14718 5.47093i 0.274918 0.700480i −0.725013 0.688735i \(-0.758166\pi\)
0.999931 0.0117448i \(-0.00373858\pi\)
\(62\) −12.1548 + 5.85343i −1.54366 + 0.743386i
\(63\) 8.29455 3.98469i 1.04502 0.502024i
\(64\) −7.39423 3.56087i −0.924279 0.445109i
\(65\) −1.32555 + 1.22993i −0.164415 + 0.152555i
\(66\) −8.73156 + 1.31607i −1.07478 + 0.161997i
\(67\) 1.07641 1.86439i 0.131504 0.227772i −0.792752 0.609544i \(-0.791353\pi\)
0.924257 + 0.381772i \(0.124686\pi\)
\(68\) −0.197075 0.341343i −0.0238988 0.0413940i
\(69\) 13.1815 + 16.5291i 1.58687 + 1.98987i
\(70\) −0.492288 6.65442i −0.0588397 0.795355i
\(71\) −0.825710 + 1.03541i −0.0979938 + 0.122880i −0.828410 0.560121i \(-0.810754\pi\)
0.730417 + 0.683002i \(0.239326\pi\)
\(72\) −9.85614 1.48557i −1.16156 0.175077i
\(73\) −6.46159 + 4.40544i −0.756272 + 0.515618i −0.878999 0.476823i \(-0.841788\pi\)
0.122727 + 0.992440i \(0.460836\pi\)
\(74\) 1.86150 1.26915i 0.216396 0.147536i
\(75\) −4.35444 0.656326i −0.502807 0.0757860i
\(76\) −0.106415 + 0.133440i −0.0122066 + 0.0153066i
\(77\) −6.29079 + 1.93387i −0.716902 + 0.220385i
\(78\) −2.21327 2.77536i −0.250604 0.314247i
\(79\) −5.70950 9.88914i −0.642369 1.11261i −0.984903 0.173110i \(-0.944619\pi\)
0.342534 0.939505i \(-0.388715\pi\)
\(80\) −3.51475 + 6.08773i −0.392961 + 0.680629i
\(81\) 7.25540 1.09358i 0.806156 0.121508i
\(82\) 2.71931 2.52315i 0.300298 0.278635i
\(83\) −14.3242 6.89819i −1.57229 0.757175i −0.574185 0.818725i \(-0.694681\pi\)
−0.998104 + 0.0615508i \(0.980395\pi\)
\(84\) −0.368933 0.000352414i −0.0402538 3.84516e-5i
\(85\) −11.7208 + 5.64444i −1.27130 + 0.612225i
\(86\) 2.32445 5.92261i 0.250652 0.638651i
\(87\) 1.62504 21.6847i 0.174223 2.32484i
\(88\) 6.81206 + 2.10124i 0.726168 + 0.223993i
\(89\) −0.638431 8.51927i −0.0676735 0.903041i −0.922963 0.384890i \(-0.874240\pi\)
0.855289 0.518151i \(-0.173380\pi\)
\(90\) −1.95187 + 8.55172i −0.205746 + 0.901430i
\(91\) −1.93775 1.80142i −0.203132 0.188840i
\(92\) −0.101266 0.443674i −0.0105577 0.0462562i
\(93\) 23.5255 7.25666i 2.43948 0.752481i
\(94\) −4.01009 10.2175i −0.413609 1.05386i
\(95\) 4.12947 + 3.83159i 0.423675 + 0.393113i
\(96\) 0.651561 + 0.444227i 0.0664997 + 0.0453387i
\(97\) −14.7327 −1.49588 −0.747940 0.663767i \(-0.768957\pi\)
−0.747940 + 0.663767i \(0.768957\pi\)
\(98\) 9.65668 1.43665i 0.975472 0.145123i
\(99\) 8.65165 0.869524
\(100\) 0.0783196 + 0.0533974i 0.00783196 + 0.00533974i
\(101\) −1.54802 1.43635i −0.154033 0.142922i 0.599392 0.800456i \(-0.295409\pi\)
−0.753425 + 0.657534i \(0.771600\pi\)
\(102\) −9.33015 23.7728i −0.923822 2.35386i
\(103\) 5.18509 1.59939i 0.510902 0.157593i −0.0285766 0.999592i \(-0.509097\pi\)
0.539479 + 0.841999i \(0.318621\pi\)
\(104\) 0.637707 + 2.79398i 0.0625323 + 0.273972i
\(105\) −0.921573 + 12.1419i −0.0899363 + 1.18493i
\(106\) −1.39985 + 6.13314i −0.135965 + 0.595703i
\(107\) 0.301180 + 4.01896i 0.0291161 + 0.388528i 0.992657 + 0.120966i \(0.0385991\pi\)
−0.963541 + 0.267562i \(0.913782\pi\)
\(108\) 0.0636981 + 0.0196483i 0.00612935 + 0.00189066i
\(109\) −0.320803 + 4.28081i −0.0307273 + 0.410028i 0.960538 + 0.278148i \(0.0897204\pi\)
−0.991266 + 0.131880i \(0.957899\pi\)
\(110\) 2.29197 5.83985i 0.218531 0.556808i
\(111\) −3.70430 + 1.78390i −0.351597 + 0.169320i
\(112\) −9.26234 4.47141i −0.875209 0.422509i
\(113\) 15.5431 + 7.48515i 1.46217 + 0.704144i 0.984660 0.174483i \(-0.0558255\pi\)
0.477509 + 0.878627i \(0.341540\pi\)
\(114\) −8.10657 + 7.52179i −0.759249 + 0.704481i
\(115\) −14.8525 + 2.23865i −1.38500 + 0.208756i
\(116\) −0.234042 + 0.405373i −0.0217303 + 0.0376379i
\(117\) 1.73902 + 3.01207i 0.160772 + 0.278466i
\(118\) −8.98126 11.2621i −0.826792 1.03676i
\(119\) −9.50133 16.4931i −0.870985 1.51192i
\(120\) 8.22364 10.3121i 0.750713 0.941364i
\(121\) 4.75856 + 0.717237i 0.432596 + 0.0652034i
\(122\) −6.77266 + 4.61752i −0.613168 + 0.418051i
\(123\) −5.59330 + 3.81344i −0.504330 + 0.343847i
\(124\) −0.524025 0.0789840i −0.0470588 0.00709297i
\(125\) 7.58784 9.51485i 0.678677 0.851034i
\(126\) −12.6890 1.92495i −1.13042 0.171488i
\(127\) −4.60677 5.77671i −0.408785 0.512600i 0.534235 0.845336i \(-0.320600\pi\)
−0.943020 + 0.332736i \(0.892028\pi\)
\(128\) 5.41334 + 9.37618i 0.478476 + 0.828745i
\(129\) −5.80538 + 10.0552i −0.511135 + 0.885312i
\(130\) 2.49384 0.375886i 0.218724 0.0329674i
\(131\) −12.4170 + 11.5213i −1.08488 + 1.00662i −0.0849277 + 0.996387i \(0.527066\pi\)
−0.999948 + 0.0102302i \(0.996744\pi\)
\(132\) −0.312516 0.150500i −0.0272010 0.0130993i
\(133\) −5.14511 + 6.43914i −0.446138 + 0.558344i
\(134\) −2.70521 + 1.30276i −0.233694 + 0.112541i
\(135\) 0.803799 2.04805i 0.0691800 0.176268i
\(136\) −1.54074 + 20.5598i −0.132118 + 1.76299i
\(137\) 1.36767 + 0.421872i 0.116848 + 0.0360429i 0.352628 0.935764i \(-0.385288\pi\)
−0.235780 + 0.971807i \(0.575764\pi\)
\(138\) −2.20351 29.4039i −0.187576 2.50302i
\(139\) −3.51349 + 15.3936i −0.298010 + 1.30567i 0.575074 + 0.818101i \(0.304973\pi\)
−0.873085 + 0.487568i \(0.837884\pi\)
\(140\) 0.131273 0.226871i 0.0110946 0.0191741i
\(141\) 4.45723 + 19.5284i 0.375366 + 1.64459i
\(142\) 1.76500 0.544432i 0.148116 0.0456877i
\(143\) −0.908789 2.31556i −0.0759967 0.193636i
\(144\) 9.91132 + 9.19636i 0.825943 + 0.766363i
\(145\) 12.7648 + 8.70293i 1.06006 + 0.722739i
\(146\) 10.9073 0.902695
\(147\) −17.8164 0.0340374i −1.46947 0.00280736i
\(148\) 0.0885016 0.00727479
\(149\) 4.66134 + 3.17805i 0.381872 + 0.260356i 0.739008 0.673697i \(-0.235295\pi\)
−0.357136 + 0.934052i \(0.616247\pi\)
\(150\) 4.50224 + 4.17747i 0.367606 + 0.341089i
\(151\) 8.39720 + 21.3957i 0.683354 + 1.74116i 0.671249 + 0.741232i \(0.265758\pi\)
0.0121054 + 0.999927i \(0.496147\pi\)
\(152\) 8.53122 2.63153i 0.691973 0.213445i
\(153\) 5.56788 + 24.3945i 0.450137 + 1.97218i
\(154\) 8.76865 + 2.71395i 0.706598 + 0.218696i
\(155\) −3.89213 + 17.0525i −0.312623 + 1.36969i
\(156\) −0.0104206 0.139054i −0.000834318 0.0111332i
\(157\) −9.15594 2.82423i −0.730724 0.225398i −0.0930026 0.995666i \(-0.529646\pi\)
−0.637721 + 0.770268i \(0.720123\pi\)
\(158\) −1.19016 + 15.8816i −0.0946844 + 1.26348i
\(159\) 4.19418 10.6866i 0.332620 0.847502i
\(160\) −0.504778 + 0.243088i −0.0399062 + 0.0192178i
\(161\) −4.86982 21.4304i −0.383796 1.68895i
\(162\) −9.22004 4.44014i −0.724395 0.348850i
\(163\) 8.02804 7.44893i 0.628805 0.583445i −0.300035 0.953928i \(-0.596998\pi\)
0.928839 + 0.370483i \(0.120808\pi\)
\(164\) 0.144092 0.0217183i 0.0112517 0.00169592i
\(165\) −5.72426 + 9.91470i −0.445633 + 0.771858i
\(166\) 11.0870 + 19.2033i 0.860521 + 1.49047i
\(167\) −3.58213 4.49185i −0.277194 0.347590i 0.623673 0.781685i \(-0.285640\pi\)
−0.900867 + 0.434095i \(0.857068\pi\)
\(168\) 15.9347 + 10.8864i 1.22939 + 0.839904i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 17.9413 + 2.70421i 1.37603 + 0.207403i
\(171\) 8.95235 6.10361i 0.684603 0.466755i
\(172\) 0.206500 0.140789i 0.0157455 0.0107351i
\(173\) −5.86780 0.884429i −0.446121 0.0672419i −0.0778597 0.996964i \(-0.524809\pi\)
−0.368261 + 0.929722i \(0.620047\pi\)
\(174\) −18.9096 + 23.7119i −1.43353 + 1.79759i
\(175\) 3.77972 + 2.58226i 0.285720 + 0.195201i
\(176\) −6.02915 7.56031i −0.454464 0.569880i
\(177\) 13.1436 + 22.7655i 0.987937 + 1.71116i
\(178\) −5.95761 + 10.3189i −0.446542 + 0.773433i
\(179\) 21.6979 3.27043i 1.62178 0.244444i 0.725592 0.688125i \(-0.241566\pi\)
0.896185 + 0.443682i \(0.146328\pi\)
\(180\) −0.252585 + 0.234365i −0.0188266 + 0.0174685i
\(181\) −8.69298 4.18632i −0.646144 0.311167i 0.0819576 0.996636i \(-0.473883\pi\)
−0.728102 + 0.685469i \(0.759597\pi\)
\(182\) 0.817677 + 3.59832i 0.0606103 + 0.266725i
\(183\) 13.4773 6.49031i 0.996268 0.479777i
\(184\) −8.69689 + 22.1593i −0.641143 + 1.63361i
\(185\) 0.218290 2.91287i 0.0160490 0.214159i
\(186\) −32.8112 10.1209i −2.40584 0.742102i
\(187\) −1.33735 17.8457i −0.0977966 1.30500i
\(188\) 0.0959443 0.420359i 0.00699746 0.0306579i
\(189\) 3.07518 + 0.951786i 0.223687 + 0.0692323i
\(190\) −1.74829 7.65977i −0.126834 0.555698i
\(191\) −20.7585 + 6.40315i −1.50203 + 0.463316i −0.933267 0.359184i \(-0.883055\pi\)
−0.568766 + 0.822500i \(0.692579\pi\)
\(192\) −7.63139 19.4445i −0.550748 1.40328i
\(193\) 1.27697 + 1.18485i 0.0919182 + 0.0852876i 0.724794 0.688966i \(-0.241935\pi\)
−0.632876 + 0.774254i \(0.718126\pi\)
\(194\) 16.9774 + 11.5750i 1.21891 + 0.831037i
\(195\) −4.60240 −0.329585
\(196\) 0.345210 + 0.167058i 0.0246579 + 0.0119327i
\(197\) 20.2583 1.44335 0.721674 0.692233i \(-0.243373\pi\)
0.721674 + 0.692233i \(0.243373\pi\)
\(198\) −9.96984 6.79732i −0.708526 0.483065i
\(199\) 7.87394 + 7.30595i 0.558169 + 0.517905i 0.908035 0.418895i \(-0.137582\pi\)
−0.349866 + 0.936800i \(0.613773\pi\)
\(200\) −1.81149 4.61561i −0.128092 0.326373i
\(201\) 5.23591 1.61507i 0.369313 0.113918i
\(202\) 0.655383 + 2.87142i 0.0461126 + 0.202032i
\(203\) −11.3210 + 19.5653i −0.794577 + 1.37322i
\(204\) 0.223231 0.978037i 0.0156293 0.0684763i
\(205\) −0.359417 4.79609i −0.0251028 0.334973i
\(206\) −7.23170 2.23068i −0.503856 0.155419i
\(207\) −2.15896 + 28.8094i −0.150058 + 2.00239i
\(208\) 1.42024 3.61870i 0.0984756 0.250912i
\(209\) −6.98186 + 3.36229i −0.482945 + 0.232574i
\(210\) 10.6015 13.2678i 0.731571 0.915566i
\(211\) −17.6973 8.52256i −1.21833 0.586717i −0.289485 0.957183i \(-0.593484\pi\)
−0.928846 + 0.370465i \(0.879198\pi\)
\(212\) −0.181150 + 0.168082i −0.0124414 + 0.0115439i
\(213\) −3.33305 + 0.502377i −0.228377 + 0.0344223i
\(214\) 2.81050 4.86793i 0.192122 0.332765i
\(215\) −4.12450 7.14384i −0.281289 0.487206i
\(216\) −2.17403 2.72615i −0.147924 0.185491i
\(217\) −25.3024 3.83845i −1.71764 0.260571i
\(218\) 3.73298 4.68101i 0.252829 0.317038i
\(219\) −19.6824 2.96664i −1.33001 0.200467i
\(220\) 0.203615 0.138822i 0.0137277 0.00935939i
\(221\) 5.94416 4.05266i 0.399847 0.272611i
\(222\) 5.67025 + 0.854653i 0.380562 + 0.0573606i
\(223\) −1.45015 + 1.81844i −0.0971095 + 0.121771i −0.828012 0.560711i \(-0.810528\pi\)
0.730902 + 0.682482i \(0.239099\pi\)
\(224\) −0.409192 0.710308i −0.0273403 0.0474595i
\(225\) −3.75191 4.70474i −0.250127 0.313650i
\(226\) −12.0304 20.8373i −0.800251 1.38608i
\(227\) −9.17542 + 15.8923i −0.608994 + 1.05481i 0.382412 + 0.923992i \(0.375093\pi\)
−0.991407 + 0.130817i \(0.958240\pi\)
\(228\) −0.429553 + 0.0647447i −0.0284479 + 0.00428782i
\(229\) −0.495378 + 0.459644i −0.0327355 + 0.0303741i −0.696371 0.717682i \(-0.745203\pi\)
0.663635 + 0.748056i \(0.269013\pi\)
\(230\) 18.8743 + 9.08939i 1.24454 + 0.599337i
\(231\) −15.0850 7.28231i −0.992520 0.479141i
\(232\) 22.0601 10.6236i 1.44832 0.697473i
\(233\) −5.70807 + 14.5439i −0.373948 + 0.952803i 0.612756 + 0.790272i \(0.290061\pi\)
−0.986703 + 0.162531i \(0.948034\pi\)
\(234\) 0.362505 4.83729i 0.0236977 0.316224i
\(235\) −13.5987 4.19465i −0.887084 0.273629i
\(236\) −0.0422859 0.564267i −0.00275258 0.0367306i
\(237\) 6.46726 28.3349i 0.420094 1.84055i
\(238\) −2.00915 + 26.4710i −0.130234 + 1.71586i
\(239\) 1.10253 + 4.83050i 0.0713167 + 0.312459i 0.997987 0.0634158i \(-0.0201994\pi\)
−0.926670 + 0.375875i \(0.877342\pi\)
\(240\) −17.0966 + 5.27361i −1.10358 + 0.340410i
\(241\) 2.64117 + 6.72958i 0.170132 + 0.433490i 0.990355 0.138554i \(-0.0442456\pi\)
−0.820222 + 0.572045i \(0.806150\pi\)
\(242\) −4.92007 4.56516i −0.316274 0.293460i
\(243\) 18.4459 + 12.5762i 1.18331 + 0.806764i
\(244\) −0.321993 −0.0206135
\(245\) 6.34987 10.9499i 0.405678 0.699565i
\(246\) 9.44160 0.601975
\(247\) −2.57396 1.75490i −0.163777 0.111662i
\(248\) 20.3207 + 18.8548i 1.29037 + 1.19728i
\(249\) −14.7837 37.6682i −0.936876 2.38712i
\(250\) −16.2194 + 5.00304i −1.02581 + 0.316420i
\(251\) 1.57010 + 6.87904i 0.0991036 + 0.434201i 1.00000 0.000166985i \(5.31529e-5\pi\)
−0.900896 + 0.434034i \(0.857090\pi\)
\(252\) −0.369241 0.343262i −0.0232600 0.0216235i
\(253\) 4.59780 20.1443i 0.289061 1.26646i
\(254\) 0.770099 + 10.2763i 0.0483203 + 0.644790i
\(255\) −31.6397 9.75957i −1.98136 0.611168i
\(256\) −0.0981870 + 1.31021i −0.00613669 + 0.0818884i
\(257\) −7.26238 + 18.5042i −0.453015 + 1.15426i 0.503866 + 0.863782i \(0.331910\pi\)
−0.956881 + 0.290481i \(0.906185\pi\)
\(258\) 14.5899 7.02615i 0.908330 0.437429i
\(259\) 4.27389 + 0.00408254i 0.265567 + 0.000253677i
\(260\) 0.0892583 + 0.0429846i 0.00553557 + 0.00266579i
\(261\) 21.7830 20.2116i 1.34833 1.25107i
\(262\) 23.3607 3.52106i 1.44323 0.217532i
\(263\) −2.56577 + 4.44405i −0.158212 + 0.274032i −0.934224 0.356687i \(-0.883906\pi\)
0.776012 + 0.630718i \(0.217240\pi\)
\(264\) 9.07208 + 15.7133i 0.558348 + 0.967086i
\(265\) 5.08533 + 6.37680i 0.312389 + 0.391723i
\(266\) 10.9881 3.37788i 0.673721 0.207111i
\(267\) 13.5572 17.0002i 0.829686 1.04039i
\(268\) −0.116629 0.0175789i −0.00712423 0.00107380i
\(269\) −10.4134 + 7.09971i −0.634914 + 0.432877i −0.837538 0.546380i \(-0.816006\pi\)
0.202624 + 0.979257i \(0.435053\pi\)
\(270\) −2.53535 + 1.72857i −0.154297 + 0.105198i
\(271\) −14.9743 2.25701i −0.909622 0.137103i −0.322469 0.946580i \(-0.604513\pi\)
−0.587152 + 0.809477i \(0.699751\pi\)
\(272\) 17.4372 21.8655i 1.05728 1.32579i
\(273\) −0.496815 6.71561i −0.0300686 0.406447i
\(274\) −1.24461 1.56069i −0.0751894 0.0942845i
\(275\) 2.15190 + 3.72721i 0.129765 + 0.224759i
\(276\) 0.579139 1.00310i 0.0348601 0.0603795i
\(277\) −2.58689 + 0.389911i −0.155431 + 0.0234275i −0.226297 0.974058i \(-0.572662\pi\)
0.0708656 + 0.997486i \(0.477424\pi\)
\(278\) 16.1431 14.9786i 0.968198 0.898356i
\(279\) 30.3108 + 14.5969i 1.81466 + 0.873895i
\(280\) −12.3587 + 5.93708i −0.738571 + 0.354808i
\(281\) 13.0075 6.26408i 0.775962 0.373684i −0.00361211 0.999993i \(-0.501150\pi\)
0.779574 + 0.626310i \(0.215435\pi\)
\(282\) 10.2065 26.0057i 0.607787 1.54862i
\(283\) 1.50852 20.1298i 0.0896720 1.19659i −0.752948 0.658080i \(-0.771369\pi\)
0.842620 0.538509i \(-0.181012\pi\)
\(284\) 0.0693327 + 0.0213863i 0.00411414 + 0.00126904i
\(285\) 1.07146 + 14.2977i 0.0634679 + 0.846921i
\(286\) −0.772003 + 3.38237i −0.0456495 + 0.200003i
\(287\) 6.95943 1.04217i 0.410802 0.0615172i
\(288\) 0.239791 + 1.05059i 0.0141298 + 0.0619069i
\(289\) 33.2128 10.2448i 1.95370 0.602636i
\(290\) −7.87213 20.0579i −0.462267 1.17784i
\(291\) −27.4877 25.5049i −1.61136 1.49512i
\(292\) 0.354010 + 0.241360i 0.0207169 + 0.0141245i
\(293\) 29.7001 1.73510 0.867550 0.497350i \(-0.165693\pi\)
0.867550 + 0.497350i \(0.165693\pi\)
\(294\) 20.5042 + 14.0370i 1.19583 + 0.818652i
\(295\) −18.6761 −1.08737
\(296\) −3.82500 2.60784i −0.222323 0.151577i
\(297\) 2.21863 + 2.05859i 0.128738 + 0.119452i
\(298\) −2.87466 7.32452i −0.166525 0.424298i
\(299\) 7.93741 2.44837i 0.459032 0.141593i
\(300\) 0.0536855 + 0.235212i 0.00309954 + 0.0135800i
\(301\) 9.97874 6.78944i 0.575165 0.391337i
\(302\) 7.13330 31.2530i 0.410475 1.79841i
\(303\) −0.401659 5.35977i −0.0230747 0.307911i
\(304\) −11.5724 3.56961i −0.663721 0.204731i
\(305\) −0.794197 + 10.5978i −0.0454756 + 0.606830i
\(306\) 12.7497 32.4858i 0.728854 1.85709i
\(307\) −2.12162 + 1.02172i −0.121087 + 0.0583126i −0.493447 0.869776i \(-0.664263\pi\)
0.372359 + 0.928089i \(0.378549\pi\)
\(308\) 0.224542 + 0.282120i 0.0127945 + 0.0160753i
\(309\) 12.4430 + 5.99222i 0.707856 + 0.340886i
\(310\) 17.8828 16.5928i 1.01567 0.942406i
\(311\) 10.1963 1.53685i 0.578180 0.0871466i 0.146560 0.989202i \(-0.453180\pi\)
0.431621 + 0.902055i \(0.357942\pi\)
\(312\) −3.64705 + 6.31688i −0.206474 + 0.357623i
\(313\) −4.06330 7.03784i −0.229671 0.397802i 0.728039 0.685535i \(-0.240432\pi\)
−0.957711 + 0.287733i \(0.907098\pi\)
\(314\) 8.33205 + 10.4481i 0.470205 + 0.589618i
\(315\) −12.2086 + 11.3062i −0.687876 + 0.637034i
\(316\) −0.390062 + 0.489122i −0.0219427 + 0.0275153i
\(317\) 17.2251 + 2.59627i 0.967458 + 0.145821i 0.613720 0.789524i \(-0.289672\pi\)
0.353738 + 0.935345i \(0.384910\pi\)
\(318\) −13.2293 + 9.01960i −0.741864 + 0.505794i
\(319\) −17.5597 + 11.9720i −0.983155 + 0.670304i
\(320\) 14.6747 + 2.21185i 0.820338 + 0.123646i
\(321\) −6.39560 + 8.01983i −0.356968 + 0.447623i
\(322\) −11.2254 + 28.5217i −0.625567 + 1.58945i
\(323\) −13.9737 17.5224i −0.777516 0.974974i
\(324\) −0.200995 0.348134i −0.0111664 0.0193408i
\(325\) −0.865084 + 1.49837i −0.0479862 + 0.0831146i
\(326\) −15.1036 + 2.27650i −0.836511 + 0.126084i
\(327\) −8.00938 + 7.43162i −0.442920 + 0.410970i
\(328\) −6.86753 3.30723i −0.379196 0.182611i
\(329\) 4.65270 20.2954i 0.256512 1.11892i
\(330\) 14.3861 6.92797i 0.791927 0.381372i
\(331\) 0.884242 2.25301i 0.0486023 0.123837i −0.904511 0.426450i \(-0.859764\pi\)
0.953113 + 0.302614i \(0.0978592\pi\)
\(332\) −0.0650929 + 0.868604i −0.00357244 + 0.0476709i
\(333\) −5.36875 1.65604i −0.294206 0.0907505i
\(334\) 0.598813 + 7.99061i 0.0327656 + 0.437227i
\(335\) −0.866245 + 3.79527i −0.0473280 + 0.207358i
\(336\) −9.54054 24.3773i −0.520479 1.32989i
\(337\) 0.264506 + 1.15888i 0.0144086 + 0.0631281i 0.981621 0.190840i \(-0.0611212\pi\)
−0.967213 + 0.253968i \(0.918264\pi\)
\(338\) −1.33275 + 0.411098i −0.0724918 + 0.0223608i
\(339\) 16.0416 + 40.8733i 0.871259 + 2.21993i
\(340\) 0.522466 + 0.484778i 0.0283347 + 0.0262908i
\(341\) −19.8803 13.5542i −1.07658 0.734000i
\(342\) −15.1118 −0.817150
\(343\) 16.6631 + 8.08342i 0.899722 + 0.436464i
\(344\) −13.0734 −0.704871
\(345\) −31.5868 21.5355i −1.70057 1.15943i
\(346\) 6.06697 + 5.62932i 0.326162 + 0.302634i
\(347\) −4.58075 11.6716i −0.245908 0.626562i 0.753620 0.657311i \(-0.228306\pi\)
−0.999527 + 0.0307485i \(0.990211\pi\)
\(348\) −1.13844 + 0.351162i −0.0610267 + 0.0188242i
\(349\) −4.82660 21.1467i −0.258362 1.13196i −0.923002 0.384794i \(-0.874272\pi\)
0.664640 0.747163i \(-0.268585\pi\)
\(350\) −2.32681 5.94531i −0.124373 0.317790i
\(351\) −0.270743 + 1.18620i −0.0144512 + 0.0633148i
\(352\) −0.0575954 0.768557i −0.00306985 0.0409642i
\(353\) −11.1383 3.43572i −0.592834 0.182865i −0.0162017 0.999869i \(-0.505157\pi\)
−0.576633 + 0.817004i \(0.695634\pi\)
\(354\) 2.73984 36.5606i 0.145621 1.94317i
\(355\) 0.874902 2.22921i 0.0464350 0.118314i
\(356\) −0.421701 + 0.203080i −0.0223501 + 0.0107632i
\(357\) 10.8253 47.2208i 0.572936 2.49919i
\(358\) −27.5733 13.2786i −1.45729 0.701796i
\(359\) −3.70582 + 3.43850i −0.195586 + 0.181477i −0.771886 0.635761i \(-0.780686\pi\)
0.576300 + 0.817238i \(0.304496\pi\)
\(360\) 17.8225 2.68632i 0.939331 0.141581i
\(361\) 4.64752 8.04974i 0.244606 0.423671i
\(362\) 6.72841 + 11.6539i 0.353637 + 0.612518i
\(363\) 7.63668 + 9.57609i 0.400822 + 0.502614i
\(364\) −0.0530859 + 0.134882i −0.00278246 + 0.00706972i
\(365\) 8.81710 11.0563i 0.461508 0.578713i
\(366\) −20.6299 3.10946i −1.07834 0.162534i
\(367\) 14.9762 10.2106i 0.781750 0.532988i −0.105422 0.994428i \(-0.533619\pi\)
0.887172 + 0.461439i \(0.152667\pi\)
\(368\) 26.6798 18.1900i 1.39078 0.948218i
\(369\) −9.14739 1.37875i −0.476194 0.0717747i
\(370\) −2.54010 + 3.18518i −0.132053 + 0.165590i
\(371\) −8.75578 + 8.10863i −0.454578 + 0.420979i
\(372\) −0.840971 1.05454i −0.0436023 0.0546756i
\(373\) −7.96440 13.7947i −0.412381 0.714265i 0.582769 0.812638i \(-0.301969\pi\)
−0.995150 + 0.0983733i \(0.968636\pi\)
\(374\) −12.4797 + 21.6154i −0.645308 + 1.11771i
\(375\) 30.6290 4.61658i 1.58167 0.238399i
\(376\) −16.5332 + 15.3406i −0.852635 + 0.791130i
\(377\) −7.69763 3.70698i −0.396448 0.190919i
\(378\) −2.79594 3.51288i −0.143808 0.180683i
\(379\) −18.2585 + 8.79284i −0.937878 + 0.451658i −0.839420 0.543483i \(-0.817105\pi\)
−0.0984576 + 0.995141i \(0.531391\pi\)
\(380\) 0.112755 0.287294i 0.00578419 0.0147379i
\(381\) 1.40535 18.7531i 0.0719983 0.960751i
\(382\) 28.9521 + 8.93053i 1.48132 + 0.456926i
\(383\) 1.22893 + 16.3989i 0.0627954 + 0.837946i 0.936316 + 0.351159i \(0.114212\pi\)
−0.873521 + 0.486787i \(0.838169\pi\)
\(384\) −6.13180 + 26.8652i −0.312912 + 1.37096i
\(385\) 9.83930 6.69456i 0.501457 0.341187i
\(386\) −0.540630 2.36865i −0.0275173 0.120561i
\(387\) −15.1613 + 4.67665i −0.770693 + 0.237727i
\(388\) 0.294888 + 0.751363i 0.0149707 + 0.0381447i
\(389\) −4.73573 4.39412i −0.240111 0.222791i 0.550933 0.834549i \(-0.314272\pi\)
−0.791044 + 0.611759i \(0.790462\pi\)
\(390\) 5.30364 + 3.61596i 0.268560 + 0.183101i
\(391\) 59.7585 3.02212
\(392\) −9.99719 17.3923i −0.504935 0.878444i
\(393\) −43.1124 −2.17474
\(394\) −23.3450 15.9163i −1.17610 0.801853i
\(395\) 15.1365 + 14.0446i 0.761600 + 0.706661i
\(396\) −0.173170 0.441231i −0.00870214 0.0221727i
\(397\) 9.21167 2.84142i 0.462321 0.142607i −0.0548405 0.998495i \(-0.517465\pi\)
0.517161 + 0.855888i \(0.326989\pi\)
\(398\) −3.33359 14.6054i −0.167098 0.732102i
\(399\) −20.7468 + 3.10682i −1.03864 + 0.155535i
\(400\) −1.49665 + 6.55727i −0.0748327 + 0.327863i
\(401\) 2.46428 + 32.8835i 0.123060 + 1.64212i 0.627457 + 0.778651i \(0.284096\pi\)
−0.504397 + 0.863472i \(0.668285\pi\)
\(402\) −7.30258 2.25255i −0.364219 0.112347i
\(403\) 0.722851 9.64578i 0.0360078 0.480491i
\(404\) −0.0422684 + 0.107698i −0.00210293 + 0.00535818i
\(405\) −11.9540 + 5.75673i −0.593997 + 0.286054i
\(406\) 28.4177 13.6518i 1.41035 0.677529i
\(407\) 3.62034 + 1.74346i 0.179454 + 0.0864203i
\(408\) −38.4673 + 35.6924i −1.90441 + 1.76704i
\(409\) 22.7801 3.43355i 1.12640 0.169778i 0.440697 0.897656i \(-0.354731\pi\)
0.685707 + 0.727878i \(0.259493\pi\)
\(410\) −3.35395 + 5.80921i −0.165640 + 0.286897i
\(411\) 1.82142 + 3.15480i 0.0898442 + 0.155615i
\(412\) −0.185353 0.232425i −0.00913166 0.0114507i
\(413\) −2.01603 27.2513i −0.0992024 1.34095i
\(414\) 25.1225 31.5026i 1.23470 1.54827i
\(415\) 28.4280 + 4.28483i 1.39548 + 0.210334i
\(416\) 0.255996 0.174535i 0.0125512 0.00855730i
\(417\) −33.2044 + 22.6384i −1.62603 + 1.10861i
\(418\) 10.6873 + 1.61085i 0.522731 + 0.0787891i
\(419\) −3.16588 + 3.96988i −0.154663 + 0.193942i −0.853126 0.521705i \(-0.825296\pi\)
0.698463 + 0.715646i \(0.253868\pi\)
\(420\) 0.637678 0.196031i 0.0311155 0.00956532i
\(421\) −1.01397 1.27148i −0.0494178 0.0619679i 0.756508 0.653984i \(-0.226904\pi\)
−0.805926 + 0.592016i \(0.798332\pi\)
\(422\) 13.6978 + 23.7253i 0.666798 + 1.15493i
\(423\) −13.6860 + 23.7049i −0.665436 + 1.15257i
\(424\) 12.7820 1.92658i 0.620749 0.0935629i
\(425\) −9.12447 + 8.46627i −0.442602 + 0.410674i
\(426\) 4.23559 + 2.03975i 0.205215 + 0.0988262i
\(427\) −15.5496 0.0148534i −0.752497 0.000718806i
\(428\) 0.198937 0.0958031i 0.00961600 0.00463082i
\(429\) 2.31305 5.89355i 0.111675 0.284543i
\(430\) −0.859766 + 11.4728i −0.0414616 + 0.553267i
\(431\) −18.5234 5.71371i −0.892241 0.275220i −0.185459 0.982652i \(-0.559377\pi\)
−0.706781 + 0.707432i \(0.749853\pi\)
\(432\) 0.353463 + 4.71664i 0.0170060 + 0.226929i
\(433\) 4.88556 21.4050i 0.234785 1.02866i −0.710828 0.703366i \(-0.751680\pi\)
0.945613 0.325294i \(-0.105463\pi\)
\(434\) 26.1418 + 24.3026i 1.25485 + 1.16656i
\(435\) 8.74989 + 38.3358i 0.419525 + 1.83806i
\(436\) 0.224741 0.0693235i 0.0107631 0.00331999i
\(437\) −9.45388 24.0881i −0.452241 1.15229i
\(438\) 20.3505 + 18.8825i 0.972382 + 0.902239i
\(439\) 22.8171 + 15.5564i 1.08900 + 0.742469i 0.968192 0.250207i \(-0.0804987\pi\)
0.120809 + 0.992676i \(0.461451\pi\)
\(440\) −12.8907 −0.614541
\(441\) −17.8154 16.5937i −0.848353 0.790178i
\(442\) −10.0339 −0.477262
\(443\) 27.6198 + 18.8309i 1.31226 + 0.894683i 0.998496 0.0548188i \(-0.0174581\pi\)
0.313762 + 0.949502i \(0.398411\pi\)
\(444\) 0.165123 + 0.153212i 0.00783640 + 0.00727111i
\(445\) 5.64390 + 14.3804i 0.267547 + 0.681698i
\(446\) 3.09979 0.956159i 0.146779 0.0452754i
\(447\) 3.19520 + 13.9991i 0.151128 + 0.662133i
\(448\) −1.64334 + 21.6513i −0.0776407 + 1.02293i
\(449\) −8.37286 + 36.6839i −0.395140 + 1.73122i 0.250986 + 0.967991i \(0.419245\pi\)
−0.646126 + 0.763230i \(0.723612\pi\)
\(450\) 0.627194 + 8.36933i 0.0295662 + 0.394534i
\(451\) 6.32221 + 1.95014i 0.297701 + 0.0918286i
\(452\) 0.0706316 0.942513i 0.00332223 0.0443321i
\(453\) −21.3725 + 54.4564i −1.00417 + 2.55858i
\(454\) 23.0595 11.1049i 1.08224 0.521177i
\(455\) 4.30845 + 2.07991i 0.201983 + 0.0975079i
\(456\) 20.4729 + 9.85922i 0.958730 + 0.461700i
\(457\) 9.96315 9.24445i 0.466057 0.432437i −0.411863 0.911246i \(-0.635122\pi\)
0.877919 + 0.478809i \(0.158931\pi\)
\(458\) 0.931983 0.140474i 0.0435487 0.00656391i
\(459\) −4.37664 + 7.58057i −0.204284 + 0.353831i
\(460\) 0.411457 + 0.712664i 0.0191843 + 0.0332281i
\(461\) −10.0273 12.5738i −0.467017 0.585621i 0.491421 0.870922i \(-0.336478\pi\)
−0.958438 + 0.285302i \(0.907906\pi\)
\(462\) 11.6619 + 20.2436i 0.542561 + 0.941820i
\(463\) 10.4346 13.0846i 0.484937 0.608092i −0.477820 0.878458i \(-0.658573\pi\)
0.962758 + 0.270365i \(0.0871445\pi\)
\(464\) −32.8421 4.95016i −1.52466 0.229805i
\(465\) −36.7827 + 25.0780i −1.70576 + 1.16297i
\(466\) 18.0044 12.2752i 0.834040 0.568639i
\(467\) −14.1316 2.12999i −0.653931 0.0985643i −0.186307 0.982492i \(-0.559652\pi\)
−0.467624 + 0.883927i \(0.654890\pi\)
\(468\) 0.118807 0.148979i 0.00549183 0.00688654i
\(469\) −5.63139 0.854297i −0.260033 0.0394478i
\(470\) 12.3751 + 15.5178i 0.570819 + 0.715785i
\(471\) −12.1936 21.1199i −0.561850 0.973153i
\(472\) −14.7994 + 25.6333i −0.681198 + 1.17987i
\(473\) 11.2208 1.69127i 0.515934 0.0777646i
\(474\) −29.7145 + 27.5710i −1.36483 + 1.26638i
\(475\) 4.85618 + 2.33861i 0.222817 + 0.107303i
\(476\) −0.650967 + 0.814689i −0.0298370 + 0.0373412i
\(477\) 14.1342 6.80667i 0.647160 0.311656i
\(478\) 2.52465 6.43271i 0.115475 0.294225i
\(479\) −0.875738 + 11.6859i −0.0400135 + 0.533943i 0.940796 + 0.338974i \(0.110080\pi\)
−0.980809 + 0.194969i \(0.937539\pi\)
\(480\) −1.36262 0.420314i −0.0621950 0.0191846i
\(481\) 0.120718 + 1.61086i 0.00550425 + 0.0734491i
\(482\) 2.24363 9.82999i 0.102195 0.447744i
\(483\) 28.0139 48.4146i 1.27468 2.20294i
\(484\) −0.0586679 0.257041i −0.00266672 0.0116837i
\(485\) 25.4571 7.85248i 1.15595 0.356563i
\(486\) −11.3757 28.9847i −0.516010 1.31477i
\(487\) 5.97717 + 5.54600i 0.270851 + 0.251313i 0.803891 0.594777i \(-0.202760\pi\)
−0.533039 + 0.846091i \(0.678950\pi\)
\(488\) 13.9164 + 9.48802i 0.629964 + 0.429502i
\(489\) 27.8738 1.26050
\(490\) −15.9204 + 7.62940i −0.719208 + 0.344661i
\(491\) −3.30470 −0.149139 −0.0745695 0.997216i \(-0.523758\pi\)
−0.0745695 + 0.997216i \(0.523758\pi\)
\(492\) 0.306439 + 0.208927i 0.0138153 + 0.00941914i
\(493\) −45.0575 41.8072i −2.02929 1.88290i
\(494\) 1.58737 + 4.04456i 0.0714193 + 0.181973i
\(495\) −14.9495 + 4.61130i −0.671928 + 0.207262i
\(496\) −8.36732 36.6596i −0.375704 1.64607i
\(497\) 3.34721 + 1.03598i 0.150143 + 0.0464700i
\(498\) −12.5585 + 55.0224i −0.562760 + 2.46561i
\(499\) 1.04997 + 14.0108i 0.0470029 + 0.627211i 0.970110 + 0.242667i \(0.0780222\pi\)
−0.923107 + 0.384544i \(0.874359\pi\)
\(500\) −0.637131 0.196529i −0.0284934 0.00878904i
\(501\) 1.09277 14.5820i 0.0488215 0.651477i
\(502\) 3.59532 9.16072i 0.160467 0.408863i
\(503\) −14.7915 + 7.12322i −0.659521 + 0.317609i −0.733538 0.679648i \(-0.762132\pi\)
0.0740169 + 0.997257i \(0.476418\pi\)
\(504\) 5.84364 + 25.7159i 0.260296 + 1.14548i
\(505\) 3.44043 + 1.65682i 0.153097 + 0.0737277i
\(506\) −21.1251 + 19.6012i −0.939123 + 0.871379i
\(507\) 2.51677 0.379342i 0.111774 0.0168472i
\(508\) −0.202402 + 0.350570i −0.00898012 + 0.0155540i
\(509\) 0.987166 + 1.70982i 0.0437553 + 0.0757865i 0.887074 0.461628i \(-0.152734\pi\)
−0.843318 + 0.537414i \(0.819401\pi\)
\(510\) 28.7927 + 36.1049i 1.27496 + 1.59875i
\(511\) 17.0846 + 11.6720i 0.755779 + 0.516340i
\(512\) 14.6432 18.3620i 0.647144 0.811492i
\(513\) 3.74805 + 0.564927i 0.165480 + 0.0249422i
\(514\) 22.9071 15.6178i 1.01039 0.688871i
\(515\) −8.10702 + 5.52727i −0.357238 + 0.243561i
\(516\) 0.629012 + 0.0948083i 0.0276907 + 0.00417370i
\(517\) 12.2058 15.3056i 0.536810 0.673138i
\(518\) −4.92187 3.36256i −0.216254 0.147743i
\(519\) −9.41683 11.8083i −0.413353 0.518328i
\(520\) −2.59109 4.48791i −0.113627 0.196808i
\(521\) −20.4418 + 35.4063i −0.895573 + 1.55118i −0.0624781 + 0.998046i \(0.519900\pi\)
−0.833094 + 0.553131i \(0.813433\pi\)
\(522\) −40.9815 + 6.17696i −1.79371 + 0.270358i
\(523\) 5.39988 5.01035i 0.236120 0.219087i −0.553234 0.833026i \(-0.686606\pi\)
0.789354 + 0.613939i \(0.210416\pi\)
\(524\) 0.836117 + 0.402653i 0.0365259 + 0.0175900i
\(525\) 2.58172 + 11.3613i 0.112675 + 0.495846i
\(526\) 6.44824 3.10531i 0.281157 0.135398i
\(527\) 25.4236 64.7782i 1.10747 2.82178i
\(528\) 1.83926 24.5433i 0.0800436 1.06811i
\(529\) 43.9535 + 13.5578i 1.91102 + 0.589471i
\(530\) −0.850097 11.3438i −0.0369259 0.492741i
\(531\) −7.99336 + 35.0212i −0.346882 + 1.51979i
\(532\) 0.431378 + 0.133514i 0.0187026 + 0.00578856i
\(533\) 0.591849 + 2.59306i 0.0256358 + 0.112318i
\(534\) −28.9793 + 8.93892i −1.25406 + 0.386825i
\(535\) −2.66251 6.78396i −0.115110 0.293296i
\(536\) 4.52264 + 4.19640i 0.195348 + 0.181257i
\(537\) 46.1448 + 31.4610i 1.99130 + 1.35764i
\(538\) 17.5780 0.757841
\(539\) 10.8305 + 13.6344i 0.466504 + 0.587275i
\(540\) −0.120538 −0.00518715
\(541\) 4.30769 + 2.93693i 0.185202 + 0.126269i 0.652372 0.757899i \(-0.273774\pi\)
−0.467170 + 0.884168i \(0.654726\pi\)
\(542\) 15.4825 + 14.3657i 0.665031 + 0.617059i
\(543\) −8.97179 22.8597i −0.385016 0.981006i
\(544\) 2.12998 0.657013i 0.0913223 0.0281692i
\(545\) −1.72733 7.56794i −0.0739908 0.324175i
\(546\) −4.70373 + 8.12915i −0.201301 + 0.347896i
\(547\) −4.81392 + 21.0912i −0.205828 + 0.901792i 0.761480 + 0.648189i \(0.224473\pi\)
−0.967308 + 0.253604i \(0.918384\pi\)
\(548\) −0.00585991 0.0781950i −0.000250323 0.00334033i
\(549\) 19.5330 + 6.02513i 0.833647 + 0.257146i
\(550\) 0.448572 5.98577i 0.0191272 0.255234i
\(551\) −9.72395 + 24.7762i −0.414254 + 1.05550i
\(552\) −54.5880 + 26.2882i −2.32342 + 1.11890i
\(553\) −18.8593 + 23.6025i −0.801980 + 1.00368i
\(554\) 3.28738 + 1.58312i 0.139667 + 0.0672602i
\(555\) 5.44997 5.05683i 0.231338 0.214651i
\(556\) 0.855394 0.128930i 0.0362768 0.00546785i
\(557\) 17.0484 29.5288i 0.722366 1.25117i −0.237683 0.971343i \(-0.576388\pi\)
0.960049 0.279832i \(-0.0902786\pi\)
\(558\) −23.4607 40.6352i −0.993172 1.72022i
\(559\) 2.84425 + 3.56658i 0.120299 + 0.150850i
\(560\) 18.3879 + 2.78950i 0.777032 + 0.117878i
\(561\) 28.3988 35.6110i 1.19900 1.50350i
\(562\) −19.9108 3.00108i −0.839888 0.126593i
\(563\) 19.6134 13.3722i 0.826606 0.563570i −0.0744744 0.997223i \(-0.523728\pi\)
0.901080 + 0.433653i \(0.142776\pi\)
\(564\) 0.906725 0.618195i 0.0381800 0.0260307i
\(565\) −30.8469 4.64942i −1.29774 0.195603i
\(566\) −17.5537 + 22.0116i −0.737835 + 0.925216i
\(567\) −9.69035 16.8213i −0.406956 0.706426i
\(568\) −2.36634 2.96730i −0.0992896 0.124505i
\(569\) 1.11216 + 1.92632i 0.0466242 + 0.0807555i 0.888396 0.459078i \(-0.151820\pi\)
−0.841771 + 0.539834i \(0.818487\pi\)
\(570\) 9.99850 17.3179i 0.418791 0.725368i
\(571\) −7.15127 + 1.07788i −0.299271 + 0.0451079i −0.296962 0.954889i \(-0.595973\pi\)
−0.00230973 + 0.999997i \(0.500735\pi\)
\(572\) −0.0999023 + 0.0926958i −0.00417713 + 0.00387581i
\(573\) −49.8154 23.9898i −2.08107 1.00219i
\(574\) −8.83859 4.26684i −0.368915 0.178095i
\(575\) −12.9483 + 6.23558i −0.539982 + 0.260042i
\(576\) 10.4284 26.5710i 0.434515 1.10713i
\(577\) −3.38046 + 45.1091i −0.140730 + 1.87792i 0.265452 + 0.964124i \(0.414479\pi\)
−0.406182 + 0.913792i \(0.633140\pi\)
\(578\) −46.3223 14.2885i −1.92675 0.594324i
\(579\) 0.331331 + 4.42131i 0.0137697 + 0.183743i
\(580\) 0.188346 0.825199i 0.00782066 0.0342645i
\(581\) −3.18351 + 41.9434i −0.132074 + 1.74010i
\(582\) 11.6375 + 50.9871i 0.482389 + 2.11348i
\(583\) −10.7215 + 3.30714i −0.444038 + 0.136968i
\(584\) −8.18809 20.8629i −0.338826 0.863314i
\(585\) −4.61033 4.27776i −0.190614 0.176864i
\(586\) −34.2253 23.3344i −1.41384 0.963936i
\(587\) −42.6622 −1.76086 −0.880429 0.474178i \(-0.842745\pi\)
−0.880429 + 0.474178i \(0.842745\pi\)
\(588\) 0.354874 + 0.909309i 0.0146348 + 0.0374993i
\(589\) −30.1335 −1.24163
\(590\) 21.5217 + 14.6732i 0.886033 + 0.604087i
\(591\) 37.7973 + 35.0708i 1.55477 + 1.44262i
\(592\) 2.29422 + 5.84558i 0.0942919 + 0.240252i
\(593\) −33.0110 + 10.1825i −1.35560 + 0.418147i −0.885571 0.464504i \(-0.846233\pi\)
−0.470028 + 0.882651i \(0.655756\pi\)
\(594\) −0.939302 4.11535i −0.0385400 0.168855i
\(595\) 25.2084 + 23.4349i 1.03344 + 0.960735i
\(596\) 0.0687784 0.301338i 0.00281727 0.0123433i
\(597\) 2.04303 + 27.2623i 0.0836156 + 1.11577i
\(598\) −11.0704 3.41476i −0.452701 0.139640i
\(599\) 1.37181 18.3055i 0.0560506 0.747943i −0.896399 0.443248i \(-0.853826\pi\)
0.952450 0.304696i \(-0.0985547\pi\)
\(600\) 4.61062 11.7477i 0.188228 0.479596i
\(601\) 37.6422 18.1275i 1.53546 0.739437i 0.540653 0.841245i \(-0.318177\pi\)
0.994804 + 0.101808i \(0.0324628\pi\)
\(602\) −16.8334 0.0160797i −0.686077 0.000655359i
\(603\) 6.74608 + 3.24874i 0.274722 + 0.132299i
\(604\) 0.923096 0.856508i 0.0375603 0.0348508i
\(605\) −8.60474 + 1.29696i −0.349833 + 0.0527288i
\(606\) −3.74814 + 6.49197i −0.152258 + 0.263718i
\(607\) −2.48131 4.29775i −0.100713 0.174440i 0.811266 0.584678i \(-0.198779\pi\)
−0.911979 + 0.410238i \(0.865446\pi\)
\(608\) −0.601803 0.754637i −0.0244063 0.0306046i
\(609\) −54.9933 + 16.9057i −2.22844 + 0.685052i
\(610\) 9.24157 11.5886i 0.374180 0.469207i
\(611\) 7.78205 + 1.17296i 0.314828 + 0.0474527i
\(612\) 1.13266 0.772237i 0.0457852 0.0312158i
\(613\) 8.59763 5.86176i 0.347255 0.236754i −0.377114 0.926167i \(-0.623084\pi\)
0.724369 + 0.689412i \(0.242131\pi\)
\(614\) 3.24761 + 0.489499i 0.131063 + 0.0197546i
\(615\) 7.63228 9.57058i 0.307763 0.385923i
\(616\) −1.39151 18.8096i −0.0560657 0.757859i
\(617\) −1.73528 2.17598i −0.0698599 0.0876016i 0.745674 0.666311i \(-0.232128\pi\)
−0.815534 + 0.578710i \(0.803556\pi\)
\(618\) −9.63093 16.6813i −0.387413 0.671019i
\(619\) 1.46999 2.54610i 0.0590840 0.102336i −0.834970 0.550295i \(-0.814515\pi\)
0.894054 + 0.447958i \(0.147849\pi\)
\(620\) 0.947577 0.142824i 0.0380556 0.00573596i
\(621\) −7.40860 + 6.87418i −0.297297 + 0.275851i
\(622\) −12.9573 6.23991i −0.519541 0.250198i
\(623\) −20.3740 + 9.78765i −0.816268 + 0.392134i
\(624\) 8.91443 4.29296i 0.356863 0.171856i
\(625\) −4.87938 + 12.4325i −0.195175 + 0.497298i
\(626\) −0.847009 + 11.3025i −0.0338533 + 0.451741i
\(627\) −18.8472 5.81359i −0.752685 0.232172i
\(628\) 0.0392293 + 0.523479i 0.00156542 + 0.0208891i
\(629\) −2.58601 + 11.3301i −0.103111 + 0.451759i
\(630\) 22.9517 3.43699i 0.914416 0.136933i
\(631\) 5.48888 + 24.0484i 0.218509 + 0.957350i 0.958580 + 0.284822i \(0.0919344\pi\)
−0.740072 + 0.672528i \(0.765208\pi\)
\(632\) 31.2710 9.64583i 1.24389 0.383691i
\(633\) −18.2649 46.5382i −0.725964 1.84973i
\(634\) −17.8098 16.5250i −0.707316 0.656293i
\(635\) 11.0392 + 7.52637i 0.438076 + 0.298675i
\(636\) −0.628963 −0.0249400
\(637\) −2.56983 + 6.51122i −0.101820 + 0.257984i
\(638\) 29.6412 1.17351
\(639\) −3.80573 2.59471i −0.150553 0.102645i
\(640\) −14.3513 13.3161i −0.567287 0.526365i
\(641\) −1.18335 3.01513i −0.0467395 0.119090i 0.905598 0.424138i \(-0.139423\pi\)
−0.952337 + 0.305048i \(0.901328\pi\)
\(642\) 13.6710 4.21694i 0.539550 0.166429i
\(643\) −2.91073 12.7528i −0.114788 0.502920i −0.999335 0.0364681i \(-0.988389\pi\)
0.884547 0.466452i \(-0.154468\pi\)
\(644\) −0.995471 + 0.677308i −0.0392270 + 0.0266897i
\(645\) 4.67190 20.4690i 0.183956 0.805964i
\(646\) 2.33593 + 31.1709i 0.0919061 + 1.22640i
\(647\) 33.5169 + 10.3386i 1.31768 + 0.406452i 0.872337 0.488905i \(-0.162604\pi\)
0.445348 + 0.895357i \(0.353080\pi\)
\(648\) −1.57140 + 20.9688i −0.0617302 + 0.823733i
\(649\) 9.38614 23.9155i 0.368438 0.938765i
\(650\) 2.17411 1.04700i 0.0852756 0.0410666i
\(651\) −40.5633 50.9645i −1.58980 1.99746i
\(652\) −0.540581 0.260330i −0.0211708 0.0101953i
\(653\) 3.37874 3.13501i 0.132220 0.122683i −0.611291 0.791406i \(-0.709349\pi\)
0.743511 + 0.668723i \(0.233159\pi\)
\(654\) 15.0685 2.27121i 0.589225 0.0888113i
\(655\) 15.3149 26.5261i 0.598402 1.03646i
\(656\) 5.16978 + 8.95433i 0.201846 + 0.349608i
\(657\) −16.9589 21.2658i −0.661630 0.829658i
\(658\) −21.3071 + 19.7322i −0.830636 + 0.769243i
\(659\) 1.08134 1.35595i 0.0421229 0.0528204i −0.760324 0.649544i \(-0.774960\pi\)
0.802447 + 0.596724i \(0.203531\pi\)
\(660\) 0.620222 + 0.0934835i 0.0241421 + 0.00363884i
\(661\) −11.1259 + 7.58549i −0.432746 + 0.295042i −0.760034 0.649883i \(-0.774818\pi\)
0.327288 + 0.944925i \(0.393865\pi\)
\(662\) −2.78909 + 1.90157i −0.108401 + 0.0739065i
\(663\) 18.1062 + 2.72908i 0.703188 + 0.105989i
\(664\) 28.4081 35.6226i 1.10245 1.38242i
\(665\) 5.45836 13.8687i 0.211666 0.537806i
\(666\) 4.88565 + 6.12641i 0.189315 + 0.237394i
\(667\) −35.4840 61.4601i −1.37395 2.37974i
\(668\) −0.157383 + 0.272596i −0.00608934 + 0.0105471i
\(669\) −5.85368 + 0.882300i −0.226316 + 0.0341117i
\(670\) 3.98005 3.69294i 0.153763 0.142671i
\(671\) −13.1718 6.34319i −0.508491 0.244876i
\(672\) 0.466212 2.03365i 0.0179845 0.0784498i
\(673\) 7.21091 3.47259i 0.277960 0.133859i −0.289710 0.957114i \(-0.593559\pi\)
0.567671 + 0.823256i \(0.307845\pi\)
\(674\) 0.605686 1.54326i 0.0233301 0.0594442i
\(675\) 0.157315 2.09922i 0.00605506 0.0807991i
\(676\) −0.0523528 0.0161487i −0.00201357 0.000621104i
\(677\) −2.81231 37.5276i −0.108086 1.44230i −0.742777 0.669539i \(-0.766492\pi\)
0.634691 0.772766i \(-0.281127\pi\)
\(678\) 13.6271 59.7042i 0.523345 2.29293i
\(679\) 14.2060 + 36.2982i 0.545176 + 1.39300i
\(680\) −8.29600 36.3471i −0.318137 1.39385i
\(681\) −44.6315 + 13.7670i −1.71028 + 0.527553i
\(682\) 12.2603 + 31.2387i 0.469470 + 1.19619i
\(683\) 15.4768 + 14.3604i 0.592203 + 0.549484i 0.918317 0.395847i \(-0.129549\pi\)
−0.326114 + 0.945330i \(0.605739\pi\)
\(684\) −0.490471 0.334397i −0.0187536 0.0127860i
\(685\) −2.58810 −0.0988863
\(686\) −12.8510 22.4067i −0.490655 0.855491i
\(687\) −1.71998 −0.0656214
\(688\) 14.6523 + 9.98978i 0.558614 + 0.380857i
\(689\) −3.30645 3.06793i −0.125966 0.116879i
\(690\) 19.4797 + 49.6334i 0.741578 + 1.88951i
\(691\) −1.19968 + 0.370053i −0.0456381 + 0.0140775i −0.317490 0.948262i \(-0.602840\pi\)
0.271852 + 0.962339i \(0.412364\pi\)
\(692\) 0.0723437 + 0.316958i 0.00275009 + 0.0120489i
\(693\) −8.34234 21.3158i −0.316899 0.809720i
\(694\) −3.89128 + 17.0488i −0.147711 + 0.647164i
\(695\) −2.13367 28.4718i −0.0809345 1.08000i
\(696\) 59.5502 + 18.3688i 2.25725 + 0.696268i
\(697\) −1.42995 + 19.0813i −0.0541632 + 0.722757i
\(698\) −11.0523 + 28.1608i −0.418335 + 1.06590i
\(699\) −35.8280 + 17.2538i −1.35514 + 0.652600i
\(700\) 0.0560400 0.244451i 0.00211811 0.00923937i
\(701\) −11.3027 5.44310i −0.426898 0.205583i 0.208083 0.978111i \(-0.433278\pi\)
−0.634981 + 0.772528i \(0.718992\pi\)
\(702\) 1.24396 1.15422i 0.0469501 0.0435633i
\(703\) 4.97615 0.750034i 0.187679 0.0282881i
\(704\) −10.2075 + 17.6798i −0.384708 + 0.666334i
\(705\) −18.1103 31.3680i −0.682075 1.18139i
\(706\) 10.1361 + 12.7102i 0.381476 + 0.478356i
\(707\) −2.04618 + 5.19897i −0.0769545 + 0.195527i
\(708\) 0.897949 1.12599i 0.0337470 0.0423174i
\(709\) −0.524305 0.0790262i −0.0196907 0.00296789i 0.139190 0.990266i \(-0.455550\pi\)
−0.158880 + 0.987298i \(0.550788\pi\)
\(710\) −2.75963 + 1.88148i −0.103567 + 0.0706107i
\(711\) 32.8147 22.3727i 1.23065 0.839040i
\(712\) 24.2098 + 3.64904i 0.907300 + 0.136753i
\(713\) 50.0954 62.8176i 1.87609 2.35254i
\(714\) −49.5745 + 45.9104i −1.85528 + 1.71815i
\(715\) 2.80451 + 3.51674i 0.104883 + 0.131519i
\(716\) −0.601093 1.04112i −0.0224639 0.0389086i
\(717\) −6.30538 + 10.9212i −0.235479 + 0.407861i
\(718\) 6.97197 1.05086i 0.260192 0.0392176i
\(719\) 24.7317 22.9476i 0.922336 0.855803i −0.0675430 0.997716i \(-0.521516\pi\)
0.989879 + 0.141914i \(0.0453255\pi\)
\(720\) −22.0277 10.6080i −0.820924 0.395336i
\(721\) −8.94027 11.2327i −0.332953 0.418329i
\(722\) −11.6801 + 5.62482i −0.434687 + 0.209334i
\(723\) −6.72229 + 17.1281i −0.250005 + 0.637002i
\(724\) −0.0395031 + 0.527132i −0.00146812 + 0.0195907i
\(725\) 14.1254 + 4.35710i 0.524603 + 0.161818i
\(726\) −1.27660 17.0350i −0.0473790 0.632229i
\(727\) −4.92378 + 21.5725i −0.182613 + 0.800079i 0.797768 + 0.602965i \(0.206014\pi\)
−0.980381 + 0.197114i \(0.936843\pi\)
\(728\) 6.26884 4.26526i 0.232339 0.158081i
\(729\) 7.74594 + 33.9372i 0.286886 + 1.25693i
\(730\) −18.8471 + 5.81355i −0.697562 + 0.215169i
\(731\) 11.9901 + 30.5502i 0.443469 + 1.12994i
\(732\) −0.600763 0.557426i −0.0222048 0.0206031i
\(733\) −29.0410 19.7998i −1.07265 0.731323i −0.107817 0.994171i \(-0.534386\pi\)
−0.964837 + 0.262848i \(0.915338\pi\)
\(734\) −25.2801 −0.933106
\(735\) 30.8036 9.43724i 1.13621 0.348098i
\(736\) 2.57361 0.0948646
\(737\) −4.42463 3.01666i −0.162983 0.111120i
\(738\) 9.45787 + 8.77562i 0.348149 + 0.323035i
\(739\) 13.8450 + 35.2765i 0.509296 + 1.29767i 0.922137 + 0.386863i \(0.126441\pi\)
−0.412841 + 0.910803i \(0.635464\pi\)
\(740\) −0.152925 + 0.0471710i −0.00562163 + 0.00173404i
\(741\) −1.76437 7.73021i −0.0648157 0.283976i
\(742\) 16.4605 2.46495i 0.604285 0.0904910i
\(743\) −9.81442 + 42.9998i −0.360056 + 1.57751i 0.392991 + 0.919542i \(0.371440\pi\)
−0.753047 + 0.657967i \(0.771417\pi\)
\(744\) 5.27256 + 70.3574i 0.193301 + 2.57943i
\(745\) −9.74836 3.00697i −0.357152 0.110167i
\(746\) −1.66021 + 22.1539i −0.0607845 + 0.811113i
\(747\) 20.2020 51.4739i 0.739153 1.88333i
\(748\) −0.883355 + 0.425401i −0.0322986 + 0.0155542i
\(749\) 9.61144 4.61732i 0.351194 0.168713i
\(750\) −38.9228 18.7442i −1.42126 0.684442i
\(751\) −33.7144 + 31.2824i −1.23025 + 1.14151i −0.245162 + 0.969482i \(0.578841\pi\)
−0.985092 + 0.172027i \(0.944968\pi\)
\(752\) 30.2521 4.55978i 1.10318 0.166278i
\(753\) −8.97940 + 15.5528i −0.327227 + 0.566775i
\(754\) 5.95801 + 10.3196i 0.216978 + 0.375817i
\(755\) −25.9136 32.4947i −0.943093 1.18260i
\(756\) −0.0130118 0.175884i −0.000473233 0.00639684i
\(757\) 7.90525 9.91287i 0.287321 0.360289i −0.617134 0.786858i \(-0.711706\pi\)
0.904455 + 0.426569i \(0.140278\pi\)
\(758\) 27.9487 + 4.21259i 1.01514 + 0.153008i
\(759\) 43.4517 29.6249i 1.57720 1.07531i
\(760\) −13.3388 + 9.09421i −0.483848 + 0.329882i
\(761\) 29.4755 + 4.44271i 1.06849 + 0.161048i 0.659660 0.751564i \(-0.270700\pi\)
0.408825 + 0.912613i \(0.365938\pi\)
\(762\) −16.3532 + 20.5062i −0.592413 + 0.742863i
\(763\) 10.8563 3.33738i 0.393025 0.120821i
\(764\) 0.742058 + 0.930511i 0.0268467 + 0.0336647i
\(765\) −22.6231 39.1843i −0.817940 1.41671i
\(766\) 11.4679 19.8630i 0.414353 0.717681i
\(767\) 10.2128 1.53934i 0.368764 0.0555822i
\(768\) −2.45141 + 2.27457i −0.0884575 + 0.0820765i
\(769\) −19.1675 9.23057i −0.691197 0.332863i 0.0550955 0.998481i \(-0.482454\pi\)
−0.746292 + 0.665618i \(0.768168\pi\)
\(770\) −16.5981 0.0158550i −0.598156 0.000571374i
\(771\) −45.5840 + 21.9521i −1.64167 + 0.790585i
\(772\) 0.0348674 0.0888408i 0.00125491 0.00319745i
\(773\) 0.0637234 0.850330i