Properties

Label 273.2.cg.a.19.3
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.3
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.a.115.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.50246 - 0.402582i) q^{2} -1.00000i q^{3} +(0.363252 + 0.209723i) q^{4} +(2.78312 - 0.745735i) q^{5} +(-0.402582 + 1.50246i) q^{6} +(0.599883 + 2.57685i) q^{7} +(1.73841 + 1.73841i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-1.50246 - 0.402582i) q^{2} -1.00000i q^{3} +(0.363252 + 0.209723i) q^{4} +(2.78312 - 0.745735i) q^{5} +(-0.402582 + 1.50246i) q^{6} +(0.599883 + 2.57685i) q^{7} +(1.73841 + 1.73841i) q^{8} -1.00000 q^{9} -4.48173 q^{10} +(3.87160 + 3.87160i) q^{11} +(0.209723 - 0.363252i) q^{12} +(0.662549 - 3.54415i) q^{13} +(0.136094 - 4.11310i) q^{14} +(-0.745735 - 2.78312i) q^{15} +(-2.33148 - 4.03824i) q^{16} +(-2.18233 + 3.77990i) q^{17} +(1.50246 + 0.402582i) q^{18} +(-1.02111 - 1.02111i) q^{19} +(1.16737 + 0.312796i) q^{20} +(2.57685 - 0.599883i) q^{21} +(-4.25828 - 7.37555i) q^{22} +(7.25058 - 4.18612i) q^{23} +(1.73841 - 1.73841i) q^{24} +(2.85951 - 1.65094i) q^{25} +(-2.42226 + 5.05821i) q^{26} +1.00000i q^{27} +(-0.322517 + 1.06185i) q^{28} +(0.882488 - 1.52851i) q^{29} +4.48173i q^{30} +(0.206540 - 0.770818i) q^{31} +(0.604618 + 2.25647i) q^{32} +(3.87160 - 3.87160i) q^{33} +(4.80057 - 4.80057i) q^{34} +(3.59119 + 6.72432i) q^{35} +(-0.363252 - 0.209723i) q^{36} +(1.41417 - 5.27775i) q^{37} +(1.12309 + 1.94525i) q^{38} +(-3.54415 - 0.662549i) q^{39} +(6.13459 + 3.54181i) q^{40} +(-3.88124 + 1.03997i) q^{41} +(-4.11310 - 0.136094i) q^{42} +(-5.58033 + 3.22180i) q^{43} +(0.594400 + 2.21833i) q^{44} +(-2.78312 + 0.745735i) q^{45} +(-12.5789 + 3.37051i) q^{46} +(-2.28374 - 8.52304i) q^{47} +(-4.03824 + 2.33148i) q^{48} +(-6.28028 + 3.09161i) q^{49} +(-4.96092 + 1.32927i) q^{50} +(3.77990 + 2.18233i) q^{51} +(0.983964 - 1.14847i) q^{52} +(0.139208 + 0.241116i) q^{53} +(0.402582 - 1.50246i) q^{54} +(13.6623 + 7.88795i) q^{55} +(-3.43677 + 5.52246i) q^{56} +(-1.02111 + 1.02111i) q^{57} +(-1.94125 + 1.94125i) q^{58} +(1.89004 + 7.05373i) q^{59} +(0.312796 - 1.16737i) q^{60} +4.74239i q^{61} +(-0.620634 + 1.07497i) q^{62} +(-0.599883 - 2.57685i) q^{63} +5.69226i q^{64} +(-0.799046 - 10.3579i) q^{65} +(-7.37555 + 4.25828i) q^{66} +(-1.37307 + 1.37307i) q^{67} +(-1.58547 + 0.915370i) q^{68} +(-4.18612 - 7.25058i) q^{69} +(-2.68852 - 11.5487i) q^{70} +(11.3490 + 3.04095i) q^{71} +(-1.73841 - 1.73841i) q^{72} +(-13.9107 - 3.72736i) q^{73} +(-4.24945 + 7.36027i) q^{74} +(-1.65094 - 2.85951i) q^{75} +(-0.156769 - 0.585069i) q^{76} +(-7.65402 + 12.2990i) q^{77} +(5.05821 + 2.42226i) q^{78} +(-0.431242 + 0.746933i) q^{79} +(-9.50024 - 9.50024i) q^{80} +1.00000 q^{81} +6.25006 q^{82} +(-4.29551 - 4.29551i) q^{83} +(1.06185 + 0.322517i) q^{84} +(-3.25487 + 12.1473i) q^{85} +(9.68124 - 2.59408i) q^{86} +(-1.52851 - 0.882488i) q^{87} +13.4609i q^{88} +(5.75757 + 1.54274i) q^{89} +4.48173 q^{90} +(9.53019 - 0.418792i) q^{91} +3.51171 q^{92} +(-0.770818 - 0.206540i) q^{93} +13.7249i q^{94} +(-3.60334 - 2.08039i) q^{95} +(2.25647 - 0.604618i) q^{96} +(0.575652 - 2.14836i) q^{97} +(10.6805 - 2.11669i) q^{98} +(-3.87160 - 3.87160i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.50246 0.402582i −1.06240 0.284668i −0.315031 0.949081i \(-0.602015\pi\)
−0.747366 + 0.664413i \(0.768682\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 0.363252 + 0.209723i 0.181626 + 0.104862i
\(5\) 2.78312 0.745735i 1.24465 0.333503i 0.424382 0.905483i \(-0.360491\pi\)
0.820267 + 0.571981i \(0.193825\pi\)
\(6\) −0.402582 + 1.50246i −0.164353 + 0.613375i
\(7\) 0.599883 + 2.57685i 0.226735 + 0.973957i
\(8\) 1.73841 + 1.73841i 0.614621 + 0.614621i
\(9\) −1.00000 −0.333333
\(10\) −4.48173 −1.41725
\(11\) 3.87160 + 3.87160i 1.16733 + 1.16733i 0.982833 + 0.184500i \(0.0590665\pi\)
0.184500 + 0.982833i \(0.440934\pi\)
\(12\) 0.209723 0.363252i 0.0605420 0.104862i
\(13\) 0.662549 3.54415i 0.183758 0.982972i
\(14\) 0.136094 4.11310i 0.0363725 1.09927i
\(15\) −0.745735 2.78312i −0.192548 0.718598i
\(16\) −2.33148 4.03824i −0.582870 1.00956i
\(17\) −2.18233 + 3.77990i −0.529292 + 0.916760i 0.470125 + 0.882600i \(0.344209\pi\)
−0.999416 + 0.0341600i \(0.989124\pi\)
\(18\) 1.50246 + 0.402582i 0.354132 + 0.0948895i
\(19\) −1.02111 1.02111i −0.234258 0.234258i 0.580209 0.814467i \(-0.302971\pi\)
−0.814467 + 0.580209i \(0.802971\pi\)
\(20\) 1.16737 + 0.312796i 0.261032 + 0.0699433i
\(21\) 2.57685 0.599883i 0.562314 0.130905i
\(22\) −4.25828 7.37555i −0.907868 1.57247i
\(23\) 7.25058 4.18612i 1.51185 0.872867i 0.511946 0.859018i \(-0.328925\pi\)
0.999904 0.0138492i \(-0.00440848\pi\)
\(24\) 1.73841 1.73841i 0.354851 0.354851i
\(25\) 2.85951 1.65094i 0.571901 0.330187i
\(26\) −2.42226 + 5.05821i −0.475045 + 0.991996i
\(27\) 1.00000i 0.192450i
\(28\) −0.322517 + 1.06185i −0.0609499 + 0.200671i
\(29\) 0.882488 1.52851i 0.163874 0.283838i −0.772381 0.635160i \(-0.780934\pi\)
0.936255 + 0.351322i \(0.114268\pi\)
\(30\) 4.48173i 0.818249i
\(31\) 0.206540 0.770818i 0.0370957 0.138443i −0.944894 0.327375i \(-0.893836\pi\)
0.981990 + 0.188932i \(0.0605026\pi\)
\(32\) 0.604618 + 2.25647i 0.106882 + 0.398891i
\(33\) 3.87160 3.87160i 0.673960 0.673960i
\(34\) 4.80057 4.80057i 0.823290 0.823290i
\(35\) 3.59119 + 6.72432i 0.607022 + 1.13662i
\(36\) −0.363252 0.209723i −0.0605420 0.0349539i
\(37\) 1.41417 5.27775i 0.232488 0.867657i −0.746777 0.665074i \(-0.768400\pi\)
0.979265 0.202583i \(-0.0649334\pi\)
\(38\) 1.12309 + 1.94525i 0.182189 + 0.315561i
\(39\) −3.54415 0.662549i −0.567519 0.106093i
\(40\) 6.13459 + 3.54181i 0.969965 + 0.560009i
\(41\) −3.88124 + 1.03997i −0.606147 + 0.162417i −0.548823 0.835939i \(-0.684924\pi\)
−0.0573248 + 0.998356i \(0.518257\pi\)
\(42\) −4.11310 0.136094i −0.634665 0.0209997i
\(43\) −5.58033 + 3.22180i −0.850992 + 0.491320i −0.860985 0.508630i \(-0.830152\pi\)
0.00999354 + 0.999950i \(0.496819\pi\)
\(44\) 0.594400 + 2.21833i 0.0896092 + 0.334426i
\(45\) −2.78312 + 0.745735i −0.414883 + 0.111168i
\(46\) −12.5789 + 3.37051i −1.85466 + 0.496955i
\(47\) −2.28374 8.52304i −0.333118 1.24321i −0.905895 0.423502i \(-0.860800\pi\)
0.572777 0.819711i \(-0.305866\pi\)
\(48\) −4.03824 + 2.33148i −0.582870 + 0.336520i
\(49\) −6.28028 + 3.09161i −0.897183 + 0.441659i
\(50\) −4.96092 + 1.32927i −0.701580 + 0.187988i
\(51\) 3.77990 + 2.18233i 0.529292 + 0.305587i
\(52\) 0.983964 1.14847i 0.136451 0.159264i
\(53\) 0.139208 + 0.241116i 0.0191217 + 0.0331198i 0.875428 0.483349i \(-0.160580\pi\)
−0.856306 + 0.516468i \(0.827246\pi\)
\(54\) 0.402582 1.50246i 0.0547845 0.204458i
\(55\) 13.6623 + 7.88795i 1.84223 + 1.06361i
\(56\) −3.43677 + 5.52246i −0.459258 + 0.737970i
\(57\) −1.02111 + 1.02111i −0.135249 + 0.135249i
\(58\) −1.94125 + 1.94125i −0.254899 + 0.254899i
\(59\) 1.89004 + 7.05373i 0.246062 + 0.918318i 0.972846 + 0.231451i \(0.0743475\pi\)
−0.726784 + 0.686866i \(0.758986\pi\)
\(60\) 0.312796 1.16737i 0.0403818 0.150707i
\(61\) 4.74239i 0.607200i 0.952800 + 0.303600i \(0.0981887\pi\)
−0.952800 + 0.303600i \(0.901811\pi\)
\(62\) −0.620634 + 1.07497i −0.0788207 + 0.136521i
\(63\) −0.599883 2.57685i −0.0755782 0.324652i
\(64\) 5.69226i 0.711533i
\(65\) −0.799046 10.3579i −0.0991094 1.28474i
\(66\) −7.37555 + 4.25828i −0.907868 + 0.524158i
\(67\) −1.37307 + 1.37307i −0.167748 + 0.167748i −0.785989 0.618241i \(-0.787846\pi\)
0.618241 + 0.785989i \(0.287846\pi\)
\(68\) −1.58547 + 0.915370i −0.192266 + 0.111005i
\(69\) −4.18612 7.25058i −0.503950 0.872867i
\(70\) −2.68852 11.5487i −0.321339 1.38034i
\(71\) 11.3490 + 3.04095i 1.34688 + 0.360894i 0.858981 0.512008i \(-0.171098\pi\)
0.487895 + 0.872902i \(0.337765\pi\)
\(72\) −1.73841 1.73841i −0.204874 0.204874i
\(73\) −13.9107 3.72736i −1.62812 0.436254i −0.674749 0.738047i \(-0.735748\pi\)
−0.953373 + 0.301793i \(0.902415\pi\)
\(74\) −4.24945 + 7.36027i −0.493989 + 0.855614i
\(75\) −1.65094 2.85951i −0.190634 0.330187i
\(76\) −0.156769 0.585069i −0.0179826 0.0671121i
\(77\) −7.65402 + 12.2990i −0.872256 + 1.40161i
\(78\) 5.05821 + 2.42226i 0.572729 + 0.274267i
\(79\) −0.431242 + 0.746933i −0.0485185 + 0.0840365i −0.889265 0.457393i \(-0.848783\pi\)
0.840746 + 0.541429i \(0.182117\pi\)
\(80\) −9.50024 9.50024i −1.06216 1.06216i
\(81\) 1.00000 0.111111
\(82\) 6.25006 0.690204
\(83\) −4.29551 4.29551i −0.471494 0.471494i 0.430904 0.902398i \(-0.358195\pi\)
−0.902398 + 0.430904i \(0.858195\pi\)
\(84\) 1.06185 + 0.322517i 0.115858 + 0.0351895i
\(85\) −3.25487 + 12.1473i −0.353040 + 1.31756i
\(86\) 9.68124 2.59408i 1.04395 0.279727i
\(87\) −1.52851 0.882488i −0.163874 0.0946127i
\(88\) 13.4609i 1.43493i
\(89\) 5.75757 + 1.54274i 0.610301 + 0.163530i 0.550715 0.834693i \(-0.314355\pi\)
0.0595865 + 0.998223i \(0.481022\pi\)
\(90\) 4.48173 0.472416
\(91\) 9.53019 0.418792i 0.999036 0.0439013i
\(92\) 3.51171 0.366121
\(93\) −0.770818 0.206540i −0.0799301 0.0214172i
\(94\) 13.7249i 1.41561i
\(95\) −3.60334 2.08039i −0.369695 0.213443i
\(96\) 2.25647 0.604618i 0.230300 0.0617086i
\(97\) 0.575652 2.14836i 0.0584486 0.218133i −0.930524 0.366230i \(-0.880648\pi\)
0.988973 + 0.148097i \(0.0473149\pi\)
\(98\) 10.6805 2.11669i 1.07889 0.213818i
\(99\) −3.87160 3.87160i −0.389111 0.389111i
\(100\) 1.38496 0.138496
\(101\) −15.8444 −1.57657 −0.788287 0.615308i \(-0.789032\pi\)
−0.788287 + 0.615308i \(0.789032\pi\)
\(102\) −4.80057 4.80057i −0.475327 0.475327i
\(103\) 5.32654 9.22583i 0.524839 0.909048i −0.474742 0.880125i \(-0.657459\pi\)
0.999582 0.0289234i \(-0.00920788\pi\)
\(104\) 7.31297 5.00941i 0.717096 0.491213i
\(105\) 6.72432 3.59119i 0.656226 0.350464i
\(106\) −0.112085 0.418309i −0.0108867 0.0406297i
\(107\) 7.27563 + 12.6018i 0.703361 + 1.21826i 0.967280 + 0.253712i \(0.0816517\pi\)
−0.263918 + 0.964545i \(0.585015\pi\)
\(108\) −0.209723 + 0.363252i −0.0201807 + 0.0349539i
\(109\) 8.31237 + 2.22729i 0.796181 + 0.213336i 0.633906 0.773410i \(-0.281450\pi\)
0.162274 + 0.986746i \(0.448117\pi\)
\(110\) −17.3515 17.3515i −1.65440 1.65440i
\(111\) −5.27775 1.41417i −0.500942 0.134227i
\(112\) 9.00731 8.43034i 0.851111 0.796592i
\(113\) −6.81406 11.8023i −0.641013 1.11027i −0.985207 0.171368i \(-0.945181\pi\)
0.344195 0.938898i \(-0.388152\pi\)
\(114\) 1.94525 1.12309i 0.182189 0.105187i
\(115\) 17.0575 17.0575i 1.59062 1.59062i
\(116\) 0.641131 0.370157i 0.0595275 0.0343682i
\(117\) −0.662549 + 3.54415i −0.0612527 + 0.327657i
\(118\) 11.3588i 1.04566i
\(119\) −11.0494 3.35602i −1.01289 0.307646i
\(120\) 3.54181 6.13459i 0.323322 0.560009i
\(121\) 18.9786i 1.72533i
\(122\) 1.90920 7.12523i 0.172851 0.645088i
\(123\) 1.03997 + 3.88124i 0.0937713 + 0.349959i
\(124\) 0.236685 0.236685i 0.0212549 0.0212549i
\(125\) −3.45974 + 3.45974i −0.309448 + 0.309448i
\(126\) −0.136094 + 4.11310i −0.0121242 + 0.366424i
\(127\) 3.01715 + 1.74195i 0.267728 + 0.154573i 0.627855 0.778330i \(-0.283933\pi\)
−0.360126 + 0.932904i \(0.617266\pi\)
\(128\) 3.50084 13.0653i 0.309433 1.15482i
\(129\) 3.22180 + 5.58033i 0.283664 + 0.491320i
\(130\) −2.96937 + 15.8840i −0.260431 + 1.39312i
\(131\) −5.01539 2.89564i −0.438197 0.252993i 0.264636 0.964348i \(-0.414748\pi\)
−0.702832 + 0.711356i \(0.748082\pi\)
\(132\) 2.21833 0.594400i 0.193081 0.0517359i
\(133\) 2.01869 3.24378i 0.175043 0.281272i
\(134\) 2.61576 1.51021i 0.225967 0.130462i
\(135\) 0.745735 + 2.78312i 0.0641826 + 0.239533i
\(136\) −10.3648 + 2.77724i −0.888773 + 0.238146i
\(137\) 3.31077 0.887118i 0.282858 0.0757916i −0.114601 0.993412i \(-0.536559\pi\)
0.397459 + 0.917620i \(0.369892\pi\)
\(138\) 3.37051 + 12.5789i 0.286917 + 1.07079i
\(139\) 16.1580 9.32882i 1.37050 0.791260i 0.379512 0.925187i \(-0.376092\pi\)
0.990991 + 0.133927i \(0.0427586\pi\)
\(140\) −0.105741 + 3.19578i −0.00893677 + 0.270092i
\(141\) −8.52304 + 2.28374i −0.717770 + 0.192326i
\(142\) −15.8271 9.13779i −1.32818 0.766826i
\(143\) 16.2867 11.1564i 1.36196 0.932948i
\(144\) 2.33148 + 4.03824i 0.194290 + 0.336520i
\(145\) 1.31620 4.91214i 0.109305 0.407931i
\(146\) 19.3996 + 11.2004i 1.60552 + 0.926950i
\(147\) 3.09161 + 6.28028i 0.254992 + 0.517989i
\(148\) 1.62057 1.62057i 0.133210 0.133210i
\(149\) −10.1083 + 10.1083i −0.828106 + 0.828106i −0.987255 0.159149i \(-0.949125\pi\)
0.159149 + 0.987255i \(0.449125\pi\)
\(150\) 1.32927 + 4.96092i 0.108535 + 0.405058i
\(151\) 0.00532352 0.0198676i 0.000433222 0.00161681i −0.965709 0.259627i \(-0.916400\pi\)
0.966142 + 0.258011i \(0.0830669\pi\)
\(152\) 3.55021i 0.287960i
\(153\) 2.18233 3.77990i 0.176431 0.305587i
\(154\) 16.4512 15.3974i 1.32568 1.24076i
\(155\) 2.29930i 0.184684i
\(156\) −1.14847 0.983964i −0.0919510 0.0787802i
\(157\) 5.26575 3.04018i 0.420253 0.242633i −0.274933 0.961463i \(-0.588656\pi\)
0.695185 + 0.718830i \(0.255322\pi\)
\(158\) 0.948624 0.948624i 0.0754685 0.0754685i
\(159\) 0.241116 0.139208i 0.0191217 0.0110399i
\(160\) 3.36545 + 5.82913i 0.266062 + 0.460833i
\(161\) 15.1365 + 16.1724i 1.19292 + 1.27457i
\(162\) −1.50246 0.402582i −0.118044 0.0316298i
\(163\) −10.0711 10.0711i −0.788827 0.788827i 0.192475 0.981302i \(-0.438349\pi\)
−0.981302 + 0.192475i \(0.938349\pi\)
\(164\) −1.62797 0.436214i −0.127123 0.0340626i
\(165\) 7.88795 13.6623i 0.614076 1.06361i
\(166\) 4.72452 + 8.18312i 0.366694 + 0.635133i
\(167\) 0.579671 + 2.16336i 0.0448563 + 0.167406i 0.984720 0.174142i \(-0.0557153\pi\)
−0.939864 + 0.341548i \(0.889049\pi\)
\(168\) 5.52246 + 3.43677i 0.426067 + 0.265153i
\(169\) −12.1221 4.69635i −0.932466 0.361258i
\(170\) 9.78060 16.9405i 0.750138 1.29928i
\(171\) 1.02111 + 1.02111i 0.0780861 + 0.0780861i
\(172\) −2.70275 −0.206083
\(173\) −3.24988 −0.247084 −0.123542 0.992339i \(-0.539425\pi\)
−0.123542 + 0.992339i \(0.539425\pi\)
\(174\) 1.94125 + 1.94125i 0.147166 + 0.147166i
\(175\) 5.96958 + 6.37814i 0.451258 + 0.482142i
\(176\) 6.60790 24.6610i 0.498089 1.85889i
\(177\) 7.05373 1.89004i 0.530191 0.142064i
\(178\) −8.02942 4.63579i −0.601831 0.347467i
\(179\) 21.1701i 1.58233i 0.611603 + 0.791165i \(0.290525\pi\)
−0.611603 + 0.791165i \(0.709475\pi\)
\(180\) −1.16737 0.312796i −0.0870107 0.0233144i
\(181\) −18.5217 −1.37671 −0.688353 0.725376i \(-0.741666\pi\)
−0.688353 + 0.725376i \(0.741666\pi\)
\(182\) −14.4873 3.20747i −1.07387 0.237753i
\(183\) 4.74239 0.350567
\(184\) 19.8817 + 5.32728i 1.46570 + 0.392732i
\(185\) 15.7432i 1.15746i
\(186\) 1.07497 + 0.620634i 0.0788207 + 0.0455071i
\(187\) −23.0834 + 6.18517i −1.68802 + 0.452304i
\(188\) 0.957909 3.57496i 0.0698627 0.260731i
\(189\) −2.57685 + 0.599883i −0.187438 + 0.0436351i
\(190\) 4.57633 + 4.57633i 0.332002 + 0.332002i
\(191\) −27.4180 −1.98390 −0.991948 0.126649i \(-0.959578\pi\)
−0.991948 + 0.126649i \(0.959578\pi\)
\(192\) 5.69226 0.410804
\(193\) −13.4853 13.4853i −0.970695 0.970695i 0.0288876 0.999583i \(-0.490804\pi\)
−0.999583 + 0.0288876i \(0.990804\pi\)
\(194\) −1.72978 + 2.99607i −0.124191 + 0.215105i
\(195\) −10.3579 + 0.799046i −0.741744 + 0.0572208i
\(196\) −2.92971 0.194088i −0.209265 0.0138634i
\(197\) 1.20155 + 4.48424i 0.0856068 + 0.319489i 0.995428 0.0955106i \(-0.0304484\pi\)
−0.909822 + 0.415000i \(0.863782\pi\)
\(198\) 4.25828 + 7.37555i 0.302623 + 0.524158i
\(199\) −0.223560 + 0.387218i −0.0158478 + 0.0274492i −0.873841 0.486213i \(-0.838378\pi\)
0.857993 + 0.513662i \(0.171711\pi\)
\(200\) 7.84100 + 2.10099i 0.554442 + 0.148562i
\(201\) 1.37307 + 1.37307i 0.0968491 + 0.0968491i
\(202\) 23.8055 + 6.37866i 1.67495 + 0.448801i
\(203\) 4.46814 + 1.35711i 0.313602 + 0.0952502i
\(204\) 0.915370 + 1.58547i 0.0640887 + 0.111005i
\(205\) −10.0264 + 5.78875i −0.700274 + 0.404303i
\(206\) −11.7170 + 11.7170i −0.816365 + 0.816365i
\(207\) −7.25058 + 4.18612i −0.503950 + 0.290956i
\(208\) −15.8569 + 5.58759i −1.09948 + 0.387430i
\(209\) 7.90665i 0.546914i
\(210\) −11.5487 + 2.68852i −0.796939 + 0.185525i
\(211\) −14.3795 + 24.9060i −0.989924 + 1.71460i −0.372331 + 0.928100i \(0.621442\pi\)
−0.617592 + 0.786498i \(0.711892\pi\)
\(212\) 0.116781i 0.00802055i
\(213\) 3.04095 11.3490i 0.208362 0.777619i
\(214\) −5.85807 21.8626i −0.400449 1.49450i
\(215\) −13.1281 + 13.1281i −0.895329 + 0.895329i
\(216\) −1.73841 + 1.73841i −0.118284 + 0.118284i
\(217\) 2.11018 + 0.0698212i 0.143248 + 0.00473977i
\(218\) −11.5923 6.69282i −0.785130 0.453295i
\(219\) −3.72736 + 13.9107i −0.251871 + 0.939997i
\(220\) 3.30857 + 5.73062i 0.223064 + 0.386358i
\(221\) 11.9506 + 10.2389i 0.803887 + 0.688741i
\(222\) 7.36027 + 4.24945i 0.493989 + 0.285205i
\(223\) −14.0758 + 3.77160i −0.942586 + 0.252565i −0.697213 0.716864i \(-0.745577\pi\)
−0.245372 + 0.969429i \(0.578910\pi\)
\(224\) −5.45187 + 2.91163i −0.364268 + 0.194541i
\(225\) −2.85951 + 1.65094i −0.190634 + 0.110062i
\(226\) 5.48643 + 20.4756i 0.364952 + 1.36202i
\(227\) 17.3155 4.63969i 1.14927 0.307947i 0.366599 0.930379i \(-0.380522\pi\)
0.782674 + 0.622432i \(0.213855\pi\)
\(228\) −0.585069 + 0.156769i −0.0387472 + 0.0103823i
\(229\) −1.77229 6.61427i −0.117116 0.437083i 0.882320 0.470649i \(-0.155980\pi\)
−0.999437 + 0.0335661i \(0.989314\pi\)
\(230\) −32.4952 + 18.7611i −2.14267 + 1.23707i
\(231\) 12.2990 + 7.65402i 0.809217 + 0.503597i
\(232\) 4.19131 1.12306i 0.275173 0.0737324i
\(233\) −6.74247 3.89276i −0.441714 0.255023i 0.262611 0.964902i \(-0.415417\pi\)
−0.704324 + 0.709878i \(0.748750\pi\)
\(234\) 2.42226 5.05821i 0.158348 0.330665i
\(235\) −12.7119 22.0176i −0.829230 1.43627i
\(236\) −0.792772 + 2.95867i −0.0516051 + 0.192593i
\(237\) 0.746933 + 0.431242i 0.0485185 + 0.0280122i
\(238\) 15.2501 + 9.49055i 0.988518 + 0.615181i
\(239\) −2.22428 + 2.22428i −0.143877 + 0.143877i −0.775376 0.631499i \(-0.782440\pi\)
0.631499 + 0.775376i \(0.282440\pi\)
\(240\) −9.50024 + 9.50024i −0.613238 + 0.613238i
\(241\) −2.32406 8.67353i −0.149706 0.558711i −0.999501 0.0315969i \(-0.989941\pi\)
0.849795 0.527114i \(-0.176726\pi\)
\(242\) 7.64045 28.5146i 0.491147 1.83298i
\(243\) 1.00000i 0.0641500i
\(244\) −0.994590 + 1.72268i −0.0636721 + 0.110283i
\(245\) −15.1732 + 13.2878i −0.969383 + 0.848924i
\(246\) 6.25006i 0.398489i
\(247\) −4.29550 + 2.94243i −0.273316 + 0.187222i
\(248\) 1.69905 0.980946i 0.107890 0.0622901i
\(249\) −4.29551 + 4.29551i −0.272217 + 0.272217i
\(250\) 6.59093 3.80527i 0.416847 0.240667i
\(251\) −12.3486 21.3883i −0.779434 1.35002i −0.932269 0.361767i \(-0.882174\pi\)
0.152835 0.988252i \(-0.451160\pi\)
\(252\) 0.322517 1.06185i 0.0203166 0.0668905i
\(253\) 44.2784 + 11.8644i 2.78376 + 0.745905i
\(254\) −3.83185 3.83185i −0.240432 0.240432i
\(255\) 12.1473 + 3.25487i 0.760696 + 0.203828i
\(256\) −4.82745 + 8.36139i −0.301716 + 0.522587i
\(257\) −3.07554 5.32699i −0.191847 0.332288i 0.754015 0.656857i \(-0.228114\pi\)
−0.945862 + 0.324568i \(0.894781\pi\)
\(258\) −2.59408 9.68124i −0.161500 0.602727i
\(259\) 14.4483 + 0.478063i 0.897773 + 0.0297054i
\(260\) 1.88204 3.93010i 0.116719 0.243734i
\(261\) −0.882488 + 1.52851i −0.0546247 + 0.0946127i
\(262\) 6.36967 + 6.36967i 0.393520 + 0.393520i
\(263\) 17.1492 1.05747 0.528733 0.848788i \(-0.322667\pi\)
0.528733 + 0.848788i \(0.322667\pi\)
\(264\) 13.4609 0.828459
\(265\) 0.567242 + 0.567242i 0.0348454 + 0.0348454i
\(266\) −4.33889 + 4.06095i −0.266034 + 0.248993i
\(267\) 1.54274 5.75757i 0.0944140 0.352358i
\(268\) −0.786737 + 0.210806i −0.0480576 + 0.0128770i
\(269\) 2.00185 + 1.15577i 0.122055 + 0.0704685i 0.559785 0.828638i \(-0.310884\pi\)
−0.437729 + 0.899107i \(0.644217\pi\)
\(270\) 4.48173i 0.272750i
\(271\) −6.25936 1.67719i −0.380229 0.101882i 0.0636420 0.997973i \(-0.479728\pi\)
−0.443871 + 0.896091i \(0.646395\pi\)
\(272\) 20.3522 1.23403
\(273\) −0.418792 9.53019i −0.0253464 0.576794i
\(274\) −5.33142 −0.322083
\(275\) 17.4627 + 4.67910i 1.05304 + 0.282161i
\(276\) 3.51171i 0.211380i
\(277\) −20.9378 12.0884i −1.25803 0.726323i −0.285337 0.958427i \(-0.592105\pi\)
−0.972691 + 0.232105i \(0.925439\pi\)
\(278\) −28.0323 + 7.51123i −1.68127 + 0.450494i
\(279\) −0.206540 + 0.770818i −0.0123652 + 0.0461476i
\(280\) −5.44666 + 17.9326i −0.325500 + 1.07168i
\(281\) 18.6196 + 18.6196i 1.11075 + 1.11075i 0.993049 + 0.117703i \(0.0375532\pi\)
0.117703 + 0.993049i \(0.462447\pi\)
\(282\) 13.7249 0.817306
\(283\) −12.5046 −0.743322 −0.371661 0.928369i \(-0.621212\pi\)
−0.371661 + 0.928369i \(0.621212\pi\)
\(284\) 3.48478 + 3.48478i 0.206783 + 0.206783i
\(285\) −2.08039 + 3.60334i −0.123232 + 0.213443i
\(286\) −28.9614 + 10.2053i −1.71252 + 0.603454i
\(287\) −5.00814 9.37749i −0.295621 0.553536i
\(288\) −0.604618 2.25647i −0.0356275 0.132964i
\(289\) −1.02509 1.77550i −0.0602992 0.104441i
\(290\) −3.95508 + 6.85040i −0.232250 + 0.402269i
\(291\) −2.14836 0.575652i −0.125939 0.0337453i
\(292\) −4.27137 4.27137i −0.249963 0.249963i
\(293\) 0.0851383 + 0.0228127i 0.00497383 + 0.00133274i 0.261305 0.965256i \(-0.415847\pi\)
−0.256331 + 0.966589i \(0.582514\pi\)
\(294\) −2.11669 10.6805i −0.123448 0.622898i
\(295\) 10.5204 + 18.2219i 0.612523 + 1.06092i
\(296\) 11.6333 6.71649i 0.676172 0.390388i
\(297\) −3.87160 + 3.87160i −0.224653 + 0.224653i
\(298\) 19.2567 11.1179i 1.11551 0.644042i
\(299\) −10.0324 28.4707i −0.580189 1.64650i
\(300\) 1.38496i 0.0799608i
\(301\) −11.6496 12.4469i −0.671474 0.717430i
\(302\) −0.0159967 + 0.0277071i −0.000920507 + 0.00159436i
\(303\) 15.8444i 0.910235i
\(304\) −1.74279 + 6.50417i −0.0999557 + 0.373040i
\(305\) 3.53656 + 13.1986i 0.202503 + 0.755751i
\(306\) −4.80057 + 4.80057i −0.274430 + 0.274430i
\(307\) 7.58728 7.58728i 0.433029 0.433029i −0.456628 0.889658i \(-0.650943\pi\)
0.889658 + 0.456628i \(0.150943\pi\)
\(308\) −5.35973 + 2.86242i −0.305399 + 0.163101i
\(309\) −9.22583 5.32654i −0.524839 0.303016i
\(310\) −0.925657 + 3.45460i −0.0525738 + 0.196208i
\(311\) 15.1148 + 26.1796i 0.857082 + 1.48451i 0.874700 + 0.484665i \(0.161059\pi\)
−0.0176172 + 0.999845i \(0.505608\pi\)
\(312\) −5.00941 7.31297i −0.283602 0.414016i
\(313\) 24.9891 + 14.4275i 1.41247 + 0.815489i 0.995621 0.0934866i \(-0.0298012\pi\)
0.416849 + 0.908976i \(0.363135\pi\)
\(314\) −9.13548 + 2.44784i −0.515545 + 0.138140i
\(315\) −3.59119 6.72432i −0.202341 0.378872i
\(316\) −0.313299 + 0.180883i −0.0176244 + 0.0101755i
\(317\) −4.34297 16.2082i −0.243926 0.910343i −0.973920 0.226890i \(-0.927144\pi\)
0.729995 0.683453i \(-0.239523\pi\)
\(318\) −0.418309 + 0.112085i −0.0234576 + 0.00628544i
\(319\) 9.33445 2.50116i 0.522629 0.140038i
\(320\) 4.24492 + 15.8423i 0.237298 + 0.885609i
\(321\) 12.6018 7.27563i 0.703361 0.406086i
\(322\) −16.2312 30.3921i −0.904529 1.69368i
\(323\) 6.08807 1.63129i 0.338749 0.0907676i
\(324\) 0.363252 + 0.209723i 0.0201807 + 0.0116513i
\(325\) −3.95661 11.2284i −0.219473 0.622837i
\(326\) 11.0769 + 19.1858i 0.613493 + 1.06260i
\(327\) 2.22729 8.31237i 0.123170 0.459675i
\(328\) −8.55508 4.93928i −0.472375 0.272726i
\(329\) 20.5926 10.9977i 1.13531 0.606322i
\(330\) −17.3515 + 17.3515i −0.955169 + 0.955169i
\(331\) 4.44970 4.44970i 0.244577 0.244577i −0.574163 0.818741i \(-0.694673\pi\)
0.818741 + 0.574163i \(0.194673\pi\)
\(332\) −0.659482 2.46122i −0.0361938 0.135077i
\(333\) −1.41417 + 5.27775i −0.0774960 + 0.289219i
\(334\) 3.48372i 0.190621i
\(335\) −2.79748 + 4.84538i −0.152843 + 0.264731i
\(336\) −8.43034 9.00731i −0.459913 0.491389i
\(337\) 17.1415i 0.933758i −0.884321 0.466879i \(-0.845378\pi\)
0.884321 0.466879i \(-0.154622\pi\)
\(338\) 16.3222 + 11.9362i 0.887810 + 0.649243i
\(339\) −11.8023 + 6.81406i −0.641013 + 0.370089i
\(340\) −3.72992 + 3.72992i −0.202283 + 0.202283i
\(341\) 3.78394 2.18466i 0.204912 0.118306i
\(342\) −1.12309 1.94525i −0.0607298 0.105187i
\(343\) −11.7341 14.3287i −0.633579 0.773678i
\(344\) −15.3017 4.10008i −0.825013 0.221062i
\(345\) −17.0575 17.0575i −0.918344 0.918344i
\(346\) 4.88281 + 1.30834i 0.262501 + 0.0703370i
\(347\) −2.11487 + 3.66307i −0.113532 + 0.196644i −0.917192 0.398445i \(-0.869550\pi\)
0.803660 + 0.595089i \(0.202883\pi\)
\(348\) −0.370157 0.641131i −0.0198425 0.0343682i
\(349\) −4.82352 18.0016i −0.258197 0.963605i −0.966284 0.257479i \(-0.917108\pi\)
0.708087 0.706125i \(-0.249559\pi\)
\(350\) −6.40131 11.9861i −0.342165 0.640685i
\(351\) 3.54415 + 0.662549i 0.189173 + 0.0353642i
\(352\) −6.39530 + 11.0770i −0.340871 + 0.590405i
\(353\) 3.14985 + 3.14985i 0.167650 + 0.167650i 0.785945 0.618296i \(-0.212177\pi\)
−0.618296 + 0.785945i \(0.712177\pi\)
\(354\) −11.3588 −0.603714
\(355\) 33.8533 1.79675
\(356\) 1.76790 + 1.76790i 0.0936985 + 0.0936985i
\(357\) −3.35602 + 11.0494i −0.177619 + 0.584794i
\(358\) 8.52271 31.8072i 0.450439 1.68106i
\(359\) 15.8524 4.24764i 0.836657 0.224182i 0.185041 0.982731i \(-0.440758\pi\)
0.651616 + 0.758549i \(0.274091\pi\)
\(360\) −6.13459 3.54181i −0.323322 0.186670i
\(361\) 16.9147i 0.890246i
\(362\) 27.8280 + 7.45649i 1.46261 + 0.391905i
\(363\) 18.9786 0.996119
\(364\) 3.54969 + 1.84658i 0.186054 + 0.0967870i
\(365\) −41.4947 −2.17193
\(366\) −7.12523 1.90920i −0.372442 0.0997955i
\(367\) 27.9299i 1.45793i 0.684552 + 0.728964i \(0.259998\pi\)
−0.684552 + 0.728964i \(0.740002\pi\)
\(368\) −33.8091 19.5197i −1.76242 1.01754i
\(369\) 3.88124 1.03997i 0.202049 0.0541389i
\(370\) −6.33793 + 23.6535i −0.329493 + 1.22969i
\(371\) −0.537810 + 0.503360i −0.0279217 + 0.0261331i
\(372\) −0.236685 0.236685i −0.0122715 0.0122715i
\(373\) −5.84813 −0.302805 −0.151402 0.988472i \(-0.548379\pi\)
−0.151402 + 0.988472i \(0.548379\pi\)
\(374\) 37.1718 1.92211
\(375\) 3.45974 + 3.45974i 0.178660 + 0.178660i
\(376\) 10.8465 18.7866i 0.559364 0.968846i
\(377\) −4.83260 4.14039i −0.248892 0.213241i
\(378\) 4.11310 + 0.136094i 0.211555 + 0.00699990i
\(379\) −0.411597 1.53610i −0.0211423 0.0789043i 0.954549 0.298055i \(-0.0963380\pi\)
−0.975691 + 0.219151i \(0.929671\pi\)
\(380\) −0.872613 1.51141i −0.0447641 0.0775337i
\(381\) 1.74195 3.01715i 0.0892428 0.154573i
\(382\) 41.1943 + 11.0380i 2.10768 + 0.564752i
\(383\) −9.95949 9.95949i −0.508906 0.508906i 0.405285 0.914191i \(-0.367172\pi\)
−0.914191 + 0.405285i \(0.867172\pi\)
\(384\) −13.0653 3.50084i −0.666736 0.178651i
\(385\) −12.1302 + 39.9376i −0.618214 + 2.03541i
\(386\) 14.8322 + 25.6901i 0.754937 + 1.30759i
\(387\) 5.58033 3.22180i 0.283664 0.163773i
\(388\) 0.659668 0.659668i 0.0334896 0.0334896i
\(389\) −0.216783 + 0.125160i −0.0109913 + 0.00634584i −0.505486 0.862835i \(-0.668687\pi\)
0.494494 + 0.869181i \(0.335353\pi\)
\(390\) 15.8840 + 2.96937i 0.804315 + 0.150360i
\(391\) 36.5419i 1.84800i
\(392\) −16.2922 5.54321i −0.822880 0.279974i
\(393\) −2.89564 + 5.01539i −0.146066 + 0.252993i
\(394\) 7.22110i 0.363794i
\(395\) −0.643184 + 2.40040i −0.0323621 + 0.120777i
\(396\) −0.594400 2.21833i −0.0298697 0.111475i
\(397\) −4.76132 + 4.76132i −0.238964 + 0.238964i −0.816421 0.577457i \(-0.804045\pi\)
0.577457 + 0.816421i \(0.304045\pi\)
\(398\) 0.491777 0.491777i 0.0246505 0.0246505i
\(399\) −3.24378 2.01869i −0.162392 0.101061i
\(400\) −13.3338 7.69825i −0.666688 0.384913i
\(401\) −7.46297 + 27.8522i −0.372683 + 1.39087i 0.484018 + 0.875058i \(0.339177\pi\)
−0.856701 + 0.515813i \(0.827490\pi\)
\(402\) −1.51021 2.61576i −0.0753223 0.130462i
\(403\) −2.59505 1.24271i −0.129269 0.0619040i
\(404\) −5.75549 3.32294i −0.286347 0.165322i
\(405\) 2.78312 0.745735i 0.138294 0.0370559i
\(406\) −6.16683 3.83779i −0.306055 0.190466i
\(407\) 25.9085 14.9583i 1.28423 0.741453i
\(408\) 2.77724 + 10.3648i 0.137494 + 0.513133i
\(409\) 26.0399 6.97737i 1.28759 0.345009i 0.450846 0.892602i \(-0.351123\pi\)
0.836745 + 0.547593i \(0.184456\pi\)
\(410\) 17.3947 4.66089i 0.859062 0.230185i
\(411\) −0.887118 3.31077i −0.0437583 0.163308i
\(412\) 3.86975 2.23420i 0.190649 0.110071i
\(413\) −17.0426 + 9.10176i −0.838611 + 0.447869i
\(414\) 12.5789 3.37051i 0.618221 0.165652i
\(415\) −15.1582 8.75161i −0.744089 0.429600i
\(416\) 8.39786 0.647841i 0.411739 0.0317630i
\(417\) −9.32882 16.1580i −0.456834 0.791260i
\(418\) −3.18307 + 11.8794i −0.155689 + 0.581040i
\(419\) −12.0707 6.96900i −0.589691 0.340458i 0.175284 0.984518i \(-0.443916\pi\)
−0.764975 + 0.644060i \(0.777249\pi\)
\(420\) 3.19578 + 0.105741i 0.155938 + 0.00515965i
\(421\) 15.9864 15.9864i 0.779131 0.779131i −0.200552 0.979683i \(-0.564274\pi\)
0.979683 + 0.200552i \(0.0642735\pi\)
\(422\) 31.6312 31.6312i 1.53978 1.53978i
\(423\) 2.28374 + 8.52304i 0.111039 + 0.414405i
\(424\) −0.177157 + 0.661159i −0.00860351 + 0.0321087i
\(425\) 14.4115i 0.699062i
\(426\) −9.13779 + 15.8271i −0.442727 + 0.766826i
\(427\) −12.2204 + 2.84488i −0.591387 + 0.137673i
\(428\) 6.10348i 0.295023i
\(429\) −11.1564 16.2867i −0.538638 0.786329i
\(430\) 25.0095 14.4393i 1.20607 0.696323i
\(431\) −2.27636 + 2.27636i −0.109648 + 0.109648i −0.759802 0.650154i \(-0.774704\pi\)
0.650154 + 0.759802i \(0.274704\pi\)
\(432\) 4.03824 2.33148i 0.194290 0.112173i
\(433\) 5.34137 + 9.25152i 0.256690 + 0.444600i 0.965353 0.260947i \(-0.0840348\pi\)
−0.708663 + 0.705547i \(0.750701\pi\)
\(434\) −3.14234 0.954423i −0.150837 0.0458138i
\(435\) −4.91214 1.31620i −0.235519 0.0631072i
\(436\) 2.55237 + 2.55237i 0.122236 + 0.122236i
\(437\) −11.6781 3.12914i −0.558639 0.149687i
\(438\) 11.2004 19.3996i 0.535175 0.926950i
\(439\) 7.28052 + 12.6102i 0.347480 + 0.601854i 0.985801 0.167917i \(-0.0537040\pi\)
−0.638321 + 0.769770i \(0.720371\pi\)
\(440\) 10.0382 + 37.4632i 0.478554 + 1.78599i
\(441\) 6.28028 3.09161i 0.299061 0.147220i
\(442\) −13.8333 20.1946i −0.657985 0.960557i
\(443\) −2.49941 + 4.32911i −0.118751 + 0.205682i −0.919273 0.393621i \(-0.871222\pi\)
0.800522 + 0.599303i \(0.204556\pi\)
\(444\) −1.62057 1.62057i −0.0769087 0.0769087i
\(445\) 17.1745 0.814149
\(446\) 22.6667 1.07330
\(447\) 10.1083 + 10.1083i 0.478107 + 0.478107i
\(448\) −14.6681 + 3.41469i −0.693002 + 0.161329i
\(449\) 6.89362 25.7273i 0.325330 1.21415i −0.588650 0.808388i \(-0.700340\pi\)
0.913980 0.405760i \(-0.132993\pi\)
\(450\) 4.96092 1.32927i 0.233860 0.0626626i
\(451\) −19.0530 11.0002i −0.897170 0.517981i
\(452\) 5.71627i 0.268871i
\(453\) −0.0198676 0.00532352i −0.000933463 0.000250121i
\(454\) −27.8837 −1.30865
\(455\) 26.2114 8.27254i 1.22881 0.387823i
\(456\) −3.55021 −0.166254
\(457\) 12.0928 + 3.24025i 0.565676 + 0.151572i 0.530313 0.847802i \(-0.322075\pi\)
0.0353630 + 0.999375i \(0.488741\pi\)
\(458\) 10.6511i 0.497695i
\(459\) −3.77990 2.18233i −0.176431 0.101862i
\(460\) 9.77352 2.61881i 0.455693 0.122102i
\(461\) −2.58295 + 9.63971i −0.120300 + 0.448966i −0.999629 0.0272495i \(-0.991325\pi\)
0.879329 + 0.476216i \(0.157992\pi\)
\(462\) −15.3974 16.4512i −0.716352 0.765379i
\(463\) −8.87215 8.87215i −0.412324 0.412324i 0.470224 0.882547i \(-0.344173\pi\)
−0.882547 + 0.470224i \(0.844173\pi\)
\(464\) −8.23001 −0.382069
\(465\) −2.29930 −0.106628
\(466\) 8.56310 + 8.56310i 0.396678 + 0.396678i
\(467\) −7.33629 + 12.7068i −0.339483 + 0.588002i −0.984336 0.176305i \(-0.943585\pi\)
0.644853 + 0.764307i \(0.276919\pi\)
\(468\) −0.983964 + 1.14847i −0.0454838 + 0.0530880i
\(469\) −4.36188 2.71452i −0.201413 0.125345i
\(470\) 10.2351 + 38.1980i 0.472111 + 1.76194i
\(471\) −3.04018 5.26575i −0.140084 0.242633i
\(472\) −8.97661 + 15.5479i −0.413182 + 0.715652i
\(473\) −34.0784 9.13127i −1.56692 0.419856i
\(474\) −0.948624 0.948624i −0.0435717 0.0435717i
\(475\) −4.60565 1.23408i −0.211322 0.0566235i
\(476\) −3.30986 3.53639i −0.151707 0.162090i
\(477\) −0.139208 0.241116i −0.00637391 0.0110399i
\(478\) 4.23734 2.44643i 0.193811 0.111897i
\(479\) 9.76842 9.76842i 0.446330 0.446330i −0.447802 0.894133i \(-0.647793\pi\)
0.894133 + 0.447802i \(0.147793\pi\)
\(480\) 5.82913 3.36545i 0.266062 0.153611i
\(481\) −17.7682 8.50880i −0.810160 0.387968i
\(482\) 13.9672i 0.636189i
\(483\) 16.1724 15.1365i 0.735872 0.688735i
\(484\) −3.98026 + 6.89402i −0.180921 + 0.313364i
\(485\) 6.40843i 0.290992i
\(486\) −0.402582 + 1.50246i −0.0182615 + 0.0681528i
\(487\) 7.78069 + 29.0379i 0.352577 + 1.31583i 0.883507 + 0.468418i \(0.155176\pi\)
−0.530930 + 0.847415i \(0.678157\pi\)
\(488\) −8.24421 + 8.24421i −0.373198 + 0.373198i
\(489\) −10.0711 + 10.0711i −0.455430 + 0.455430i
\(490\) 28.1465 13.8558i 1.27153 0.625941i
\(491\) 27.2827 + 15.7517i 1.23125 + 0.710863i 0.967291 0.253670i \(-0.0816377\pi\)
0.263961 + 0.964533i \(0.414971\pi\)
\(492\) −0.436214 + 1.62797i −0.0196660 + 0.0733947i
\(493\) 3.85175 + 6.67143i 0.173474 + 0.300466i
\(494\) 7.63836 2.69158i 0.343666 0.121100i
\(495\) −13.6623 7.88795i −0.614076 0.354537i
\(496\) −3.59429 + 0.963087i −0.161388 + 0.0432439i
\(497\) −1.02800 + 31.0688i −0.0461121 + 1.39363i
\(498\) 8.18312 4.72452i 0.366694 0.211711i
\(499\) 6.05231 + 22.5875i 0.270938 + 1.01116i 0.958515 + 0.285044i \(0.0920081\pi\)
−0.687576 + 0.726112i \(0.741325\pi\)
\(500\) −1.98234 + 0.531167i −0.0886531 + 0.0237545i
\(501\) 2.16336 0.579671i 0.0966519 0.0258978i
\(502\) 9.94261 + 37.1063i 0.443760 + 1.65614i
\(503\) 7.16456 4.13646i 0.319452 0.184436i −0.331696 0.943386i \(-0.607621\pi\)
0.651148 + 0.758951i \(0.274288\pi\)
\(504\) 3.43677 5.52246i 0.153086 0.245990i
\(505\) −44.0968 + 11.8157i −1.96228 + 0.525792i
\(506\) −61.7499 35.6513i −2.74512 1.58490i
\(507\) −4.69635 + 12.1221i −0.208572 + 0.538359i
\(508\) 0.730656 + 1.26553i 0.0324176 + 0.0561489i
\(509\) 2.38441 8.89874i 0.105687 0.394430i −0.892735 0.450582i \(-0.851217\pi\)
0.998422 + 0.0561523i \(0.0178832\pi\)
\(510\) −16.9405 9.78060i −0.750138 0.433092i
\(511\) 1.26004 38.0817i 0.0557409 1.68463i
\(512\) −8.50976 + 8.50976i −0.376082 + 0.376082i
\(513\) 1.02111 1.02111i 0.0450830 0.0450830i
\(514\) 2.47631 + 9.24172i 0.109225 + 0.407635i
\(515\) 7.94436 29.6488i 0.350071 1.30648i
\(516\) 2.70275i 0.118982i
\(517\) 24.1561 41.8396i 1.06238 1.84010i
\(518\) −21.5155 6.53489i −0.945335 0.287127i
\(519\) 3.24988i 0.142654i
\(520\) 16.6172 19.3953i 0.728712 0.850541i
\(521\) 5.78613 3.34062i 0.253495 0.146355i −0.367869 0.929878i \(-0.619912\pi\)
0.621364 + 0.783522i \(0.286579\pi\)
\(522\) 1.94125 1.94125i 0.0849663 0.0849663i
\(523\) 27.8150 16.0590i 1.21627 0.702211i 0.252148 0.967689i \(-0.418863\pi\)
0.964117 + 0.265477i \(0.0855296\pi\)
\(524\) −1.21457 2.10369i −0.0530586 0.0919001i
\(525\) 6.37814 5.96958i 0.278365 0.260534i
\(526\) −25.7659 6.90396i −1.12345 0.301027i
\(527\) 2.46287 + 2.46287i 0.107285 + 0.107285i
\(528\) −24.6610 6.60790i −1.07323 0.287572i
\(529\) 23.5472 40.7850i 1.02379 1.77326i
\(530\) −0.623895 1.08062i −0.0271003 0.0469390i
\(531\) −1.89004 7.05373i −0.0820208 0.306106i
\(532\) 1.41359 0.754943i 0.0612869 0.0327309i
\(533\) 1.11432 + 14.4447i 0.0482665 + 0.625671i
\(534\) −4.63579 + 8.02942i −0.200610 + 0.347467i
\(535\) 29.6465 + 29.6465i 1.28173 + 1.28173i
\(536\) −4.77393 −0.206202
\(537\) 21.1701 0.913558
\(538\) −2.54240 2.54240i −0.109611 0.109611i
\(539\) −36.2843 12.3452i −1.56287 0.531747i
\(540\) −0.312796 + 1.16737i −0.0134606 + 0.0502356i
\(541\) 6.05418 1.62221i 0.260289 0.0697443i −0.126314 0.991990i \(-0.540315\pi\)
0.386604 + 0.922246i \(0.373648\pi\)
\(542\) 8.72920 + 5.03981i 0.374951 + 0.216478i
\(543\) 18.5217i 0.794841i
\(544\) −9.84869 2.63895i −0.422259 0.113144i
\(545\) 24.7953 1.06211
\(546\) −3.20747 + 14.4873i −0.137267 + 0.619999i
\(547\) −17.9848 −0.768973 −0.384487 0.923131i \(-0.625622\pi\)
−0.384487 + 0.923131i \(0.625622\pi\)
\(548\) 1.38869 + 0.372099i 0.0593220 + 0.0158953i
\(549\) 4.74239i 0.202400i
\(550\) −24.3531 14.0603i −1.03842 0.599533i
\(551\) −2.46189 + 0.659662i −0.104880 + 0.0281026i
\(552\) 5.32728 19.8817i 0.226744 0.846220i
\(553\) −2.18343 0.663172i −0.0928488 0.0282009i
\(554\) 26.5915 + 26.5915i 1.12976 + 1.12976i
\(555\) −15.7432 −0.668262
\(556\) 7.82589 0.331892
\(557\) 26.7133 + 26.7133i 1.13188 + 1.13188i 0.989865 + 0.142012i \(0.0453572\pi\)
0.142012 + 0.989865i \(0.454643\pi\)
\(558\) 0.620634 1.07497i 0.0262736 0.0455071i
\(559\) 7.72133 + 21.9121i 0.326577 + 0.926785i
\(560\) 18.7816 30.1797i 0.793669 1.27533i
\(561\) 6.18517 + 23.0834i 0.261138 + 0.974580i
\(562\) −20.4792 35.4711i −0.863864 1.49626i
\(563\) −3.18658 + 5.51931i −0.134298 + 0.232611i −0.925329 0.379165i \(-0.876211\pi\)
0.791031 + 0.611776i \(0.209545\pi\)
\(564\) −3.57496 0.957909i −0.150533 0.0403352i
\(565\) −27.7657 27.7657i −1.16811 1.16811i
\(566\) 18.7876 + 5.03413i 0.789703 + 0.211600i
\(567\) 0.599883 + 2.57685i 0.0251927 + 0.108217i
\(568\) 14.4428 + 25.0156i 0.606005 + 1.04963i
\(569\) −3.81617 + 2.20327i −0.159982 + 0.0923657i −0.577854 0.816140i \(-0.696110\pi\)
0.417872 + 0.908506i \(0.362776\pi\)
\(570\) 4.57633 4.57633i 0.191682 0.191682i
\(571\) −12.2682 + 7.08302i −0.513406 + 0.296415i −0.734233 0.678898i \(-0.762458\pi\)
0.220826 + 0.975313i \(0.429125\pi\)
\(572\) 8.25593 0.636893i 0.345198 0.0266298i
\(573\) 27.4180i 1.14540i
\(574\) 3.74931 + 16.1055i 0.156493 + 0.672229i
\(575\) 13.8221 23.9405i 0.576419 0.998388i
\(576\) 5.69226i 0.237178i
\(577\) 2.40718 8.98371i 0.100212 0.373997i −0.897546 0.440921i \(-0.854652\pi\)
0.997758 + 0.0669241i \(0.0213186\pi\)
\(578\) 0.825363 + 3.08030i 0.0343306 + 0.128123i
\(579\) −13.4853 + 13.4853i −0.560431 + 0.560431i
\(580\) 1.50830 1.50830i 0.0626289 0.0626289i
\(581\) 8.49207 13.6457i 0.352311 0.566118i
\(582\) 2.99607 + 1.72978i 0.124191 + 0.0717018i
\(583\) −0.394546 + 1.47246i −0.0163404 + 0.0609832i
\(584\) −17.7028 30.6621i −0.732547 1.26881i
\(585\) 0.799046 + 10.3579i 0.0330365 + 0.428246i
\(586\) −0.118733 0.0685503i −0.00490480 0.00283179i
\(587\) 10.0172 2.68411i 0.413455 0.110785i −0.0460944 0.998937i \(-0.514678\pi\)
0.459550 + 0.888152i \(0.348011\pi\)
\(588\) −0.194088 + 2.92971i −0.00800404 + 0.120819i
\(589\) −0.997987 + 0.576188i −0.0411213 + 0.0237414i
\(590\) −8.47066 31.6130i −0.348732 1.30148i
\(591\) 4.48424 1.20155i 0.184457 0.0494251i
\(592\) −24.6099 + 6.59421i −1.01146 + 0.271020i
\(593\) 3.11158 + 11.6126i 0.127777 + 0.476871i 0.999923 0.0123741i \(-0.00393891\pi\)
−0.872146 + 0.489245i \(0.837272\pi\)
\(594\) 7.37555 4.25828i 0.302623 0.174719i
\(595\) −33.2544 1.10032i −1.36330 0.0451085i
\(596\) −5.79182 + 1.55191i −0.237242 + 0.0635688i
\(597\) 0.387218 + 0.223560i 0.0158478 + 0.00914972i
\(598\) 3.61147 + 46.8148i 0.147684 + 1.91440i
\(599\) −9.16962 15.8822i −0.374660 0.648931i 0.615616 0.788046i \(-0.288907\pi\)
−0.990276 + 0.139116i \(0.955574\pi\)
\(600\) 2.10099 7.84100i 0.0857725 0.320107i
\(601\) −29.4396 16.9969i −1.20086 0.693319i −0.240117 0.970744i \(-0.577186\pi\)
−0.960747 + 0.277424i \(0.910519\pi\)
\(602\) 12.4922 + 23.3909i 0.509142 + 0.953343i
\(603\) 1.37307 1.37307i 0.0559159 0.0559159i
\(604\) 0.00610049 0.00610049i 0.000248225 0.000248225i
\(605\) 14.1530 + 52.8198i 0.575402 + 2.14743i
\(606\) 6.37866 23.8055i 0.259115 0.967031i
\(607\) 41.0442i 1.66593i 0.553325 + 0.832965i \(0.313359\pi\)
−0.553325 + 0.832965i \(0.686641\pi\)
\(608\) 1.68672 2.92148i 0.0684053 0.118482i
\(609\) 1.35711 4.46814i 0.0549927 0.181058i
\(610\) 21.2541i 0.860554i
\(611\) −31.7201 + 2.44700i −1.28326 + 0.0989951i
\(612\) 1.58547 0.915370i 0.0640887 0.0370016i
\(613\) 18.9601 18.9601i 0.765790 0.765790i −0.211572 0.977362i \(-0.567858\pi\)
0.977362 + 0.211572i \(0.0678583\pi\)
\(614\) −14.4541 + 8.34506i −0.583319 + 0.336779i
\(615\) 5.78875 + 10.0264i 0.233425 + 0.404303i
\(616\) −34.6866 + 8.07495i −1.39756 + 0.325349i
\(617\) −10.2681 2.75133i −0.413378 0.110764i 0.0461351 0.998935i \(-0.485310\pi\)
−0.459513 + 0.888171i \(0.651976\pi\)
\(618\) 11.7170 + 11.7170i 0.471328 + 0.471328i
\(619\) −27.0153 7.23874i −1.08584 0.290949i −0.328853 0.944381i \(-0.606662\pi\)
−0.756985 + 0.653432i \(0.773329\pi\)
\(620\) 0.482217 0.835225i 0.0193663 0.0335434i
\(621\) 4.18612 + 7.25058i 0.167983 + 0.290956i
\(622\) −12.1699 45.4187i −0.487969 1.82112i
\(623\) −0.521525 + 15.7618i −0.0208945 + 0.631485i
\(624\) 5.58759 + 15.8569i 0.223683 + 0.634783i
\(625\) −15.3035 + 26.5064i −0.612140 + 1.06026i
\(626\) −31.7368 31.7368i −1.26846 1.26846i
\(627\) −7.90665 −0.315761
\(628\) 2.55039 0.101772
\(629\) 16.8632 + 16.8632i 0.672379 + 0.672379i
\(630\) 2.68852 + 11.5487i 0.107113 + 0.460113i
\(631\) −0.748324 + 2.79278i −0.0297903 + 0.111179i −0.979220 0.202801i \(-0.934996\pi\)
0.949430 + 0.313980i \(0.101662\pi\)
\(632\) −2.04815 + 0.548800i −0.0814711 + 0.0218301i
\(633\) 24.9060 + 14.3795i 0.989924 + 0.571533i
\(634\) 26.1005i 1.03658i
\(635\) 9.69611 + 2.59807i 0.384779 + 0.103101i
\(636\) 0.116781 0.00463067
\(637\) 6.79617 + 24.3066i 0.269274 + 0.963064i
\(638\) −15.0315 −0.595103
\(639\) −11.3490 3.04095i −0.448959 0.120298i
\(640\) 38.9730i 1.54054i
\(641\) −13.0554 7.53755i −0.515658 0.297715i 0.219498 0.975613i \(-0.429558\pi\)
−0.735156 + 0.677898i \(0.762891\pi\)
\(642\) −21.8626 + 5.85807i −0.862849 + 0.231200i
\(643\) −10.7996 + 40.3048i −0.425896 + 1.58946i 0.336063 + 0.941839i \(0.390904\pi\)
−0.761959 + 0.647625i \(0.775762\pi\)
\(644\) 2.10662 + 9.04915i 0.0830124 + 0.356586i
\(645\) 13.1281 + 13.1281i 0.516919 + 0.516919i
\(646\) −9.80379 −0.385725
\(647\) −0.428217 −0.0168349 −0.00841747 0.999965i \(-0.502679\pi\)
−0.00841747 + 0.999965i \(0.502679\pi\)
\(648\) 1.73841 + 1.73841i 0.0682912 + 0.0682912i
\(649\) −19.9918 + 34.6267i −0.784745 + 1.35922i
\(650\) 1.42430 + 18.4630i 0.0558657 + 0.724178i
\(651\) 0.0698212 2.11018i 0.00273651 0.0827044i
\(652\) −1.54619 5.77047i −0.0605536 0.225989i
\(653\) 8.19250 + 14.1898i 0.320597 + 0.555291i 0.980611 0.195962i \(-0.0627831\pi\)
−0.660014 + 0.751253i \(0.729450\pi\)
\(654\) −6.69282 + 11.5923i −0.261710 + 0.453295i
\(655\) −16.1178 4.31875i −0.629775 0.168748i
\(656\) 13.2487 + 13.2487i 0.517274 + 0.517274i
\(657\) 13.9107 + 3.72736i 0.542707 + 0.145418i
\(658\) −35.3670 + 8.23334i −1.37875 + 0.320969i
\(659\) −13.2020 22.8666i −0.514278 0.890755i −0.999863 0.0165659i \(-0.994727\pi\)
0.485585 0.874190i \(-0.338607\pi\)
\(660\) 5.73062 3.30857i 0.223064 0.128786i
\(661\) 19.5788 19.5788i 0.761529 0.761529i −0.215070 0.976599i \(-0.568998\pi\)
0.976599 + 0.215070i \(0.0689979\pi\)
\(662\) −8.47684 + 4.89411i −0.329462 + 0.190215i
\(663\) 10.2389 11.9506i 0.397645 0.464125i
\(664\) 14.9347i 0.579580i
\(665\) 3.19926 10.5332i 0.124062 0.408462i
\(666\) 4.24945 7.36027i 0.164663 0.285205i
\(667\) 14.7768i 0.572161i
\(668\) −0.243141 + 0.907416i −0.00940742 + 0.0351090i
\(669\) 3.77160 + 14.0758i 0.145819 + 0.544202i
\(670\) 6.15375 6.15375i 0.237740 0.237740i
\(671\) −18.3606 + 18.3606i −0.708805 + 0.708805i
\(672\) 2.91163 + 5.45187i 0.112318 + 0.210310i
\(673\) −16.8918 9.75249i −0.651131 0.375931i 0.137758 0.990466i \(-0.456010\pi\)
−0.788889 + 0.614535i \(0.789344\pi\)
\(674\) −6.90086 + 25.7544i −0.265811 + 0.992021i
\(675\) 1.65094 + 2.85951i 0.0635446 + 0.110062i
\(676\) −3.41842 4.24824i −0.131478 0.163394i
\(677\) −1.91182 1.10379i −0.0734772 0.0424221i 0.462811 0.886457i \(-0.346841\pi\)
−0.536288 + 0.844035i \(0.680174\pi\)
\(678\) 20.4756 5.48643i 0.786362 0.210705i
\(679\) 5.88132 + 0.194600i 0.225704 + 0.00746807i
\(680\) −26.7754 + 15.4588i −1.02679 + 0.592816i
\(681\) −4.63969 17.3155i −0.177793 0.663533i
\(682\) −6.56471 + 1.75901i −0.251376 + 0.0673559i
\(683\) 12.6252 3.38292i 0.483091 0.129444i −0.00905031 0.999959i \(-0.502881\pi\)
0.492142 + 0.870515i \(0.336214\pi\)
\(684\) 0.156769 + 0.585069i 0.00599421 + 0.0223707i
\(685\) 8.55271 4.93791i 0.326782 0.188668i
\(686\) 11.8614 + 26.2522i 0.452871 + 1.00231i
\(687\) −6.61427 + 1.77229i −0.252350 + 0.0676170i
\(688\) 26.0208 + 15.0231i 0.992035 + 0.572752i
\(689\) 0.946784 0.333625i 0.0360696 0.0127101i
\(690\) 18.7611 + 32.4952i 0.714223 + 1.23707i
\(691\) 13.1517 49.0829i 0.500315 1.86720i 0.00236284 0.999997i \(-0.499248\pi\)
0.497952 0.867204i \(-0.334085\pi\)
\(692\) −1.18053 0.681577i −0.0448768 0.0259097i
\(693\) 7.65402 12.2990i 0.290752 0.467202i
\(694\) 4.65219 4.65219i 0.176595 0.176595i
\(695\) 38.0128 38.0128i 1.44191 1.44191i
\(696\) −1.12306 4.19131i −0.0425694 0.158871i
\(697\) 4.53912 16.9402i 0.171932 0.641657i
\(698\) 28.9885i 1.09723i
\(699\) −3.89276 + 6.74247i −0.147238 + 0.255023i
\(700\) 0.830815 + 3.56883i 0.0314019 + 0.134889i
\(701\) 12.9407i 0.488765i −0.969679 0.244383i \(-0.921415\pi\)
0.969679 0.244383i \(-0.0785853\pi\)
\(702\) −5.05821 2.42226i −0.190910 0.0914224i
\(703\) −6.83317 + 3.94513i −0.257718 + 0.148793i
\(704\) −22.0382 + 22.0382i −0.830596 + 0.830596i
\(705\) −22.0176 + 12.7119i −0.829230 + 0.478756i
\(706\) −3.46444 6.00059i −0.130386 0.225835i
\(707\) −9.50477 40.8285i −0.357464 1.53551i
\(708\) 2.95867 + 0.792772i 0.111193 + 0.0297942i
\(709\) 17.4540 + 17.4540i 0.655497 + 0.655497i 0.954311 0.298814i \(-0.0965911\pi\)
−0.298814 + 0.954311i \(0.596591\pi\)
\(710\) −50.8631 13.6287i −1.90886 0.511477i
\(711\) 0.431242 0.746933i 0.0161728 0.0280122i
\(712\) 7.32711 + 12.6909i 0.274595 + 0.475613i
\(713\) −1.72920 6.45347i −0.0647592 0.241684i
\(714\) 9.49055 15.2501i 0.355175 0.570721i
\(715\) 37.0081 43.1952i 1.38402 1.61541i
\(716\) −4.43987 + 7.69008i −0.165926 + 0.287392i
\(717\) 2.22428 + 2.22428i 0.0830673 + 0.0830673i
\(718\) −25.5276 −0.952680
\(719\) −14.9323 −0.556880 −0.278440 0.960454i \(-0.589817\pi\)
−0.278440 + 0.960454i \(0.589817\pi\)
\(720\) 9.50024 + 9.50024i 0.354053 + 0.354053i
\(721\) 26.9689 + 8.19125i 1.00437 + 0.305058i
\(722\) −6.80954 + 25.4136i −0.253425 + 0.945795i
\(723\) −8.67353 + 2.32406i −0.322572 + 0.0864329i
\(724\) −6.72803 3.88443i −0.250045 0.144364i
\(725\) 5.82773i 0.216436i
\(726\) −28.5146 7.64045i −1.05827 0.283564i
\(727\) −8.06701 −0.299189 −0.149595 0.988747i \(-0.547797\pi\)
−0.149595 + 0.988747i \(0.547797\pi\)
\(728\) 17.2954 + 15.8394i 0.641011 + 0.587045i
\(729\) −1.00000 −0.0370370
\(730\) 62.3440 + 16.7050i 2.30745 + 0.618281i
\(731\) 28.1241i 1.04021i
\(732\) 1.72268 + 0.994590i 0.0636721 + 0.0367611i
\(733\) 3.69987 0.991378i 0.136658 0.0366174i −0.189842 0.981815i \(-0.560797\pi\)
0.326500 + 0.945197i \(0.394131\pi\)
\(734\) 11.2441 41.9635i 0.415026 1.54890i
\(735\) 13.2878 + 15.1732i 0.490126 + 0.559674i
\(736\) 13.8297 + 13.8297i 0.509769 + 0.509769i
\(737\) −10.6320 −0.391634
\(738\) −6.25006 −0.230068
\(739\) 13.5656 + 13.5656i 0.499018 + 0.499018i 0.911132 0.412114i \(-0.135210\pi\)
−0.412114 + 0.911132i \(0.635210\pi\)
\(740\) 3.30172 5.71875i 0.121374 0.210225i
\(741\) 2.94243 + 4.29550i 0.108093 + 0.157799i
\(742\) 1.01068 0.539764i 0.0371032 0.0198153i
\(743\) 2.24541 + 8.37997i 0.0823759 + 0.307431i 0.994804 0.101805i \(-0.0324618\pi\)
−0.912428 + 0.409236i \(0.865795\pi\)
\(744\) −0.980946 1.69905i −0.0359632 0.0622901i
\(745\) −20.5945 + 35.6708i −0.754526 + 1.30688i
\(746\) 8.78656 + 2.35435i 0.321699 + 0.0861989i
\(747\) 4.29551 + 4.29551i 0.157165 + 0.157165i
\(748\) −9.68225 2.59435i −0.354018 0.0948588i
\(749\) −28.1083 + 26.3078i −1.02705 + 0.961264i
\(750\) −3.80527 6.59093i −0.138949 0.240667i
\(751\) 26.0916 15.0640i 0.952094 0.549692i 0.0583635 0.998295i \(-0.481412\pi\)
0.893731 + 0.448603i \(0.148078\pi\)
\(752\) −29.0936 + 29.0936i −1.06093 + 1.06093i
\(753\) −21.3883 + 12.3486i −0.779434 + 0.450006i
\(754\) 5.59392 + 8.16627i 0.203719 + 0.297398i
\(755\) 0.0592640i 0.00215684i
\(756\) −1.06185 0.322517i −0.0386192 0.0117298i
\(757\) −0.444897 + 0.770584i −0.0161700 + 0.0280073i −0.873997 0.485931i \(-0.838481\pi\)
0.857827 + 0.513938i \(0.171814\pi\)
\(758\) 2.47363i 0.0898462i
\(759\) 11.8644 44.2784i 0.430649 1.60720i
\(760\) −2.64751 9.88065i −0.0960354 0.358409i
\(761\) 33.9171 33.9171i 1.22949 1.22949i 0.265338 0.964155i \(-0.414516\pi\)
0.964155 0.265338i \(-0.0854836\pi\)
\(762\) −3.83185 + 3.83185i −0.138813 + 0.138813i
\(763\) −0.752941 + 22.7558i −0.0272583 + 0.823816i
\(764\) −9.95963 5.75019i −0.360327 0.208035i
\(765\) 3.25487 12.1473i 0.117680 0.439188i
\(766\) 10.9542 + 18.9732i 0.395791 + 0.685530i
\(767\) 26.2518 2.02516i 0.947896 0.0731242i
\(768\) 8.36139 + 4.82745i 0.301716 + 0.174196i
\(769\) −4.85396 + 1.30061i −0.175038 + 0.0469013i −0.345274 0.938502i \(-0.612214\pi\)
0.170235 + 0.985403i \(0.445547\pi\)
\(770\) 34.3033 55.1210i 1.23620 1.98642i
\(771\) −5.32699 + 3.07554i −0.191847 + 0.110763i
\(772\) −2.07038 7.72676i −0.0745146 0.278092i
\(773\) 12.5079 3.35148i 0.449878 0.120544i −0.0267645 0.999642i \(-0.508520\pi\)
0.476642 + 0.879097i \(0.341854\pi\)