Properties

Label 273.2.cg.a.115.3
Level $273$
Weight $2$
Character 273.115
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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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 115.3
Character \(\chi\) \(=\) 273.115
Dual form 273.2.cg.a.19.3

$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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 −0.747366 0.664413i \(-0.768682\pi\)
−0.315031 + 0.949081i \(0.602015\pi\)
\(3\) 1.00000i 0.577350i
\(4\) 0.363252 0.209723i 0.181626 0.104862i
\(5\) 2.78312 + 0.745735i 1.24465 + 0.333503i 0.820267 0.571981i \(-0.193825\pi\)
0.424382 + 0.905483i \(0.360491\pi\)
\(6\) −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 0.184500 0.982833i \(-0.440934\pi\)
0.982833 0.184500i \(-0.0590665\pi\)
\(12\) 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 −0.999416 0.0341600i \(-0.989124\pi\)
0.470125 0.882600i \(-0.344209\pi\)
\(18\) 1.50246 0.402582i 0.354132 0.0948895i
\(19\) −1.02111 + 1.02111i −0.234258 + 0.234258i −0.814467 0.580209i \(-0.802971\pi\)
0.580209 + 0.814467i \(0.302971\pi\)
\(20\) 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 0.999904 + 0.0138492i \(0.00440848\pi\)
0.511946 + 0.859018i \(0.328925\pi\)
\(24\) 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 0.936255 0.351322i \(-0.114268\pi\)
−0.772381 + 0.635160i \(0.780934\pi\)
\(30\) 4.48173i 0.818249i
\(31\) 0.206540 + 0.770818i 0.0370957 + 0.138443i 0.981990 0.188932i \(-0.0605026\pi\)
−0.944894 + 0.327375i \(0.893836\pi\)
\(32\) 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 0.979265 + 0.202583i \(0.0649334\pi\)
−0.746777 + 0.665074i \(0.768400\pi\)
\(38\) 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 −0.0573248 0.998356i \(-0.518257\pi\)
−0.548823 + 0.835939i \(0.684924\pi\)
\(42\) −4.11310 + 0.136094i −0.634665 + 0.0209997i
\(43\) −5.58033 3.22180i −0.850992 0.491320i 0.00999354 0.999950i \(-0.496819\pi\)
−0.860985 + 0.508630i \(0.830152\pi\)
\(44\) 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 0.572777 + 0.819711i \(0.305866\pi\)
−0.905895 + 0.423502i \(0.860800\pi\)
\(48\) −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 −0.856306 0.516468i \(-0.827246\pi\)
0.875428 + 0.483349i \(0.160580\pi\)
\(54\) 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 −0.726784 0.686866i \(-0.758986\pi\)
0.972846 0.231451i \(-0.0743475\pi\)
\(60\) 0.312796 + 1.16737i 0.0403818 + 0.150707i
\(61\) 4.74239i 0.607200i −0.952800 0.303600i \(-0.901811\pi\)
0.952800 0.303600i \(-0.0981887\pi\)
\(62\) −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 0.618241 0.785989i \(-0.287846\pi\)
−0.785989 + 0.618241i \(0.787846\pi\)
\(68\) −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 0.487895 0.872902i \(-0.337765\pi\)
0.858981 + 0.512008i \(0.171098\pi\)
\(72\) −1.73841 + 1.73841i −0.204874 + 0.204874i
\(73\) −13.9107 + 3.72736i −1.62812 + 0.436254i −0.953373 0.301793i \(-0.902415\pi\)
−0.674749 + 0.738047i \(0.735748\pi\)
\(74\) −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 0.840746 0.541429i \(-0.182117\pi\)
−0.889265 + 0.457393i \(0.848783\pi\)
\(80\) −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 −0.902398 0.430904i \(-0.858195\pi\)
0.430904 + 0.902398i \(0.358195\pi\)
\(84\) 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 0.0595865 0.998223i \(-0.481022\pi\)
0.550715 + 0.834693i \(0.314355\pi\)
\(90\) 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 0.988973 0.148097i \(-0.0473149\pi\)
−0.930524 + 0.366230i \(0.880648\pi\)
\(98\) 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 0.999582 + 0.0289234i \(0.00920788\pi\)
−0.474742 + 0.880125i \(0.657459\pi\)
\(104\) 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 −0.263918 0.964545i \(-0.585015\pi\)
0.967280 0.253712i \(-0.0816517\pi\)
\(108\) −0.209723 0.363252i −0.0201807 0.0349539i
\(109\) 8.31237 2.22729i 0.796181 0.213336i 0.162274 0.986746i \(-0.448117\pi\)
0.633906 + 0.773410i \(0.281450\pi\)
\(110\) −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 0.344195 + 0.938898i \(0.388152\pi\)
−0.985207 + 0.171368i \(0.945181\pi\)
\(114\) 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 −0.360126 0.932904i \(-0.617266\pi\)
0.627855 + 0.778330i \(0.283933\pi\)
\(128\) 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 −0.702832 0.711356i \(-0.748082\pi\)
0.264636 + 0.964348i \(0.414748\pi\)
\(132\) 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 0.397459 0.917620i \(-0.369892\pi\)
−0.114601 + 0.993412i \(0.536559\pi\)
\(138\) 3.37051 12.5789i 0.286917 1.07079i
\(139\) 16.1580 + 9.32882i 1.37050 + 0.791260i 0.990991 0.133927i \(-0.0427586\pi\)
0.379512 + 0.925187i \(0.376092\pi\)
\(140\) −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 0.159149 0.987255i \(-0.449125\pi\)
−0.987255 + 0.159149i \(0.949125\pi\)
\(150\) 1.32927 4.96092i 0.108535 0.405058i
\(151\) 0.00532352 + 0.0198676i 0.000433222 + 0.00161681i 0.966142 0.258011i \(-0.0830669\pi\)
−0.965709 + 0.259627i \(0.916400\pi\)
\(152\) 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 0.695185 0.718830i \(-0.255322\pi\)
−0.274933 + 0.961463i \(0.588656\pi\)
\(158\) 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 −0.981302 0.192475i \(-0.938349\pi\)
0.192475 + 0.981302i \(0.438349\pi\)
\(164\) −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 −0.939864 0.341548i \(-0.889049\pi\)
0.984720 + 0.174142i \(0.0557153\pi\)
\(168\) 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 \(-0.709475\pi\)
0.611603 0.791165i \(-0.290525\pi\)
\(180\) −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 −0.999583 0.0288876i \(-0.990804\pi\)
0.0288876 + 0.999583i \(0.490804\pi\)
\(194\) −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 −0.909822 0.415000i \(-0.863782\pi\)
0.995428 + 0.0955106i \(0.0304484\pi\)
\(198\) 4.25828 7.37555i 0.302623 0.524158i
\(199\) −0.223560 0.387218i −0.0158478 0.0274492i 0.857993 0.513662i \(-0.171711\pi\)
−0.873841 + 0.486213i \(0.838378\pi\)
\(200\) 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 −0.617592 0.786498i \(-0.711892\pi\)
−0.372331 0.928100i \(-0.621442\pi\)
\(212\) 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 −0.245372 0.969429i \(-0.578910\pi\)
−0.697213 + 0.716864i \(0.745577\pi\)
\(224\) −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 0.782674 0.622432i \(-0.213855\pi\)
0.366599 + 0.930379i \(0.380522\pi\)
\(228\) −0.585069 0.156769i −0.0387472 0.0103823i
\(229\) −1.77229 + 6.61427i −0.117116 + 0.437083i −0.999437 0.0335661i \(-0.989314\pi\)
0.882320 + 0.470649i \(0.155980\pi\)
\(230\) −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 −0.704324 0.709878i \(-0.748750\pi\)
0.262611 + 0.964902i \(0.415417\pi\)
\(234\) 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 0.631499 0.775376i \(-0.282440\pi\)
−0.775376 + 0.631499i \(0.782440\pi\)
\(240\) −9.50024 9.50024i −0.613238 0.613238i
\(241\) −2.32406 + 8.67353i −0.149706 + 0.558711i 0.849795 + 0.527114i \(0.176726\pi\)
−0.999501 + 0.0315969i \(0.989941\pi\)
\(242\) 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 0.152835 + 0.988252i \(0.451160\pi\)
−0.932269 + 0.361767i \(0.882174\pi\)
\(252\) 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 −0.945862 0.324568i \(-0.894781\pi\)
0.754015 + 0.656857i \(0.228114\pi\)
\(258\) −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 −0.437729 0.899107i \(-0.644217\pi\)
0.559785 + 0.828638i \(0.310884\pi\)
\(270\) 4.48173i 0.272750i
\(271\) −6.25936 + 1.67719i −0.380229 + 0.101882i −0.443871 0.896091i \(-0.646395\pi\)
0.0636420 + 0.997973i \(0.479728\pi\)
\(272\) 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 −0.972691 0.232105i \(-0.925439\pi\)
−0.285337 + 0.958427i \(0.592105\pi\)
\(278\) −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 0.117703 0.993049i \(-0.462447\pi\)
0.993049 0.117703i \(-0.0375532\pi\)
\(282\) 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 −0.256331 0.966589i \(-0.582514\pi\)
0.261305 + 0.965256i \(0.415847\pi\)
\(294\) −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 0.889658 0.456628i \(-0.150943\pi\)
−0.456628 + 0.889658i \(0.650943\pi\)
\(308\) −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 −0.0176172 0.999845i \(-0.505608\pi\)
0.874700 0.484665i \(-0.161059\pi\)
\(312\) −5.00941 + 7.31297i −0.283602 + 0.414016i
\(313\) 24.9891 14.4275i 1.41247 0.815489i 0.416849 0.908976i \(-0.363135\pi\)
0.995621 + 0.0934866i \(0.0298012\pi\)
\(314\) −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 0.729995 + 0.683453i \(0.239523\pi\)
−0.973920 + 0.226890i \(0.927144\pi\)
\(318\) −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 0.818741 0.574163i \(-0.194673\pi\)
−0.574163 + 0.818741i \(0.694673\pi\)
\(332\) −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 \(0.154622\pi\)
−0.884321 + 0.466879i \(0.845378\pi\)
\(338\) 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 0.803660 0.595089i \(-0.202883\pi\)
−0.917192 + 0.398445i \(0.869550\pi\)
\(348\) −0.370157 + 0.641131i −0.0198425 + 0.0343682i
\(349\) −4.82352 + 18.0016i −0.258197 + 0.963605i 0.708087 + 0.706125i \(0.249559\pi\)
−0.966284 + 0.257479i \(0.917108\pi\)
\(350\) −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 −0.618296 0.785945i \(-0.712177\pi\)
0.785945 + 0.618296i \(0.212177\pi\)
\(354\) −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 0.651616 0.758549i \(-0.274091\pi\)
0.185041 + 0.982731i \(0.440758\pi\)
\(360\) −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 \(-0.740002\pi\)
0.684552 0.728964i \(-0.259998\pi\)
\(368\) −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 −0.975691 0.219151i \(-0.929671\pi\)
0.954549 + 0.298055i \(0.0963380\pi\)
\(380\) −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 −0.914191 0.405285i \(-0.867172\pi\)
0.405285 + 0.914191i \(0.367172\pi\)
\(384\) −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 0.494494 0.869181i \(-0.335353\pi\)
−0.505486 + 0.862835i \(0.668687\pi\)
\(390\) 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 0.577457 0.816421i \(-0.304045\pi\)
−0.816421 + 0.577457i \(0.804045\pi\)
\(398\) 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 −0.856701 0.515813i \(-0.827490\pi\)
0.484018 0.875058i \(-0.339177\pi\)
\(402\) −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 0.836745 0.547593i \(-0.184456\pi\)
0.450846 + 0.892602i \(0.351123\pi\)
\(410\) 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 −0.764975 0.644060i \(-0.777249\pi\)
0.175284 + 0.984518i \(0.443916\pi\)
\(420\) 3.19578 0.105741i 0.155938 0.00515965i
\(421\) 15.9864 + 15.9864i 0.779131 + 0.779131i 0.979683 0.200552i \(-0.0642735\pi\)
−0.200552 + 0.979683i \(0.564274\pi\)
\(422\) 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 0.650154 0.759802i \(-0.274704\pi\)
−0.759802 + 0.650154i \(0.774704\pi\)
\(432\) 4.03824 + 2.33148i 0.194290 + 0.112173i
\(433\) 5.34137 9.25152i 0.256690 0.444600i −0.708663 0.705547i \(-0.750701\pi\)
0.965353 + 0.260947i \(0.0840348\pi\)
\(434\) −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 −0.638321 0.769770i \(-0.720371\pi\)
0.985801 + 0.167917i \(0.0537040\pi\)
\(440\) 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 0.800522 0.599303i \(-0.204556\pi\)
−0.919273 + 0.393621i \(0.871222\pi\)
\(444\) −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 0.913980 + 0.405760i \(0.132993\pi\)
−0.588650 + 0.808388i \(0.700340\pi\)
\(450\) 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 0.0353630 0.999375i \(-0.488741\pi\)
0.530313 + 0.847802i \(0.322075\pi\)
\(458\) 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 0.879329 0.476216i \(-0.157992\pi\)
−0.999629 + 0.0272495i \(0.991325\pi\)
\(462\) −15.3974 + 16.4512i −0.716352 + 0.765379i
\(463\) −8.87215 + 8.87215i −0.412324 + 0.412324i −0.882547 0.470224i \(-0.844173\pi\)
0.470224 + 0.882547i \(0.344173\pi\)
\(464\) −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 0.644853 0.764307i \(-0.276919\pi\)
−0.984336 + 0.176305i \(0.943585\pi\)
\(468\) −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 0.894133 0.447802i \(-0.147793\pi\)
−0.447802 + 0.894133i \(0.647793\pi\)
\(480\) 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 −0.530930 0.847415i \(-0.678157\pi\)
0.883507 0.468418i \(-0.155176\pi\)
\(488\) −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 0.263961 0.964533i \(-0.414971\pi\)
0.967291 + 0.253670i \(0.0816377\pi\)
\(492\) −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 −0.687576 0.726112i \(-0.741325\pi\)
0.958515 0.285044i \(-0.0920081\pi\)
\(500\) −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 0.651148 0.758951i \(-0.274288\pi\)
−0.331696 + 0.943386i \(0.607621\pi\)
\(504\) 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 0.998422 0.0561523i \(-0.0178832\pi\)
−0.892735 + 0.450582i \(0.851217\pi\)
\(510\) −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 0.621364 0.783522i \(-0.286579\pi\)
−0.367869 + 0.929878i \(0.619912\pi\)
\(522\) 1.94125 + 1.94125i 0.0849663 + 0.0849663i
\(523\) 27.8150 + 16.0590i 1.21627 + 0.702211i 0.964117 0.265477i \(-0.0855296\pi\)
0.252148 + 0.967689i \(0.418863\pi\)
\(524\) −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 0.386604 0.922246i \(-0.373648\pi\)
−0.126314 + 0.991990i \(0.540315\pi\)
\(542\) 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 0.142012 0.989865i \(-0.454643\pi\)
0.989865 0.142012i \(-0.0453572\pi\)
\(558\) 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 0.791031 0.611776i \(-0.209545\pi\)
−0.925329 + 0.379165i \(0.876211\pi\)
\(564\) −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 0.417872 0.908506i \(-0.362776\pi\)
−0.577854 + 0.816140i \(0.696110\pi\)
\(570\) 4.57633 + 4.57633i 0.191682 + 0.191682i
\(571\) −12.2682 7.08302i −0.513406 0.296415i 0.220826 0.975313i \(-0.429125\pi\)
−0.734233 + 0.678898i \(0.762458\pi\)
\(572\) 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 0.997758 0.0669241i \(-0.0213186\pi\)
−0.897546 + 0.440921i \(0.854652\pi\)
\(578\) 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 0.459550 0.888152i \(-0.348011\pi\)
−0.0460944 + 0.998937i \(0.514678\pi\)
\(588\) −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 −0.872146 0.489245i \(-0.837272\pi\)
0.999923 + 0.0123741i \(0.00393891\pi\)
\(594\) 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 −0.990276 0.139116i \(-0.955574\pi\)
0.615616 + 0.788046i \(0.288907\pi\)
\(600\) 2.10099 + 7.84100i 0.0857725 + 0.320107i
\(601\) −29.4396 + 16.9969i −1.20086 + 0.693319i −0.960747 0.277424i \(-0.910519\pi\)
−0.240117 + 0.970744i \(0.577186\pi\)
\(602\) 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 \(-0.686641\pi\)
0.553325 0.832965i \(-0.313359\pi\)
\(608\) 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 0.977362 0.211572i \(-0.0678583\pi\)
−0.211572 + 0.977362i \(0.567858\pi\)
\(614\) −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 −0.459513 0.888171i \(-0.651976\pi\)
0.0461351 + 0.998935i \(0.485310\pi\)
\(618\) 11.7170 11.7170i 0.471328 0.471328i
\(619\) −27.0153 + 7.23874i −1.08584 + 0.290949i −0.756985 0.653432i \(-0.773329\pi\)
−0.328853 + 0.944381i \(0.606662\pi\)
\(620\) 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 0.949430 0.313980i \(-0.101662\pi\)
−0.979220 + 0.202801i \(0.934996\pi\)
\(632\) −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 −0.735156 0.677898i \(-0.762891\pi\)
0.219498 + 0.975613i \(0.429558\pi\)
\(642\) −21.8626 5.85807i −0.862849 0.231200i
\(643\) −10.7996 40.3048i −0.425896 1.58946i −0.761959 0.647625i \(-0.775762\pi\)
0.336063 0.941839i \(-0.390904\pi\)
\(644\) 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 −0.660014 0.751253i \(-0.729450\pi\)
0.980611 + 0.195962i \(0.0627831\pi\)
\(654\) −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 0.485585 + 0.874190i \(0.338607\pi\)
−0.999863 + 0.0165659i \(0.994727\pi\)
\(660\) 5.73062 + 3.30857i 0.223064 + 0.128786i
\(661\) 19.5788 + 19.5788i 0.761529 + 0.761529i 0.976599 0.215070i \(-0.0689979\pi\)
−0.215070 + 0.976599i \(0.568998\pi\)
\(662\) −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 −0.788889 0.614535i \(-0.789344\pi\)
0.137758 + 0.990466i \(0.456010\pi\)
\(674\) −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 −0.536288 0.844035i \(-0.680174\pi\)
0.462811 + 0.886457i \(0.346841\pi\)
\(678\) 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 0.492142 0.870515i \(-0.336214\pi\)
−0.00905031 + 0.999959i \(0.502881\pi\)
\(684\) 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 0.497952 + 0.867204i \(0.334085\pi\)
0.00236284 + 0.999997i \(0.499248\pi\)
\(692\) −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 \(0.0785853\pi\)
−0.969679 + 0.244383i \(0.921415\pi\)
\(702\) −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 −0.298814 0.954311i \(-0.596591\pi\)
0.954311 + 0.298814i \(0.0965911\pi\)
\(710\) −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 0.326500 0.945197i \(-0.394131\pi\)
−0.189842 + 0.981815i \(0.560797\pi\)
\(734\) 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 −0.412114 0.911132i \(-0.635210\pi\)
0.911132 + 0.412114i \(0.135210\pi\)
\(740\) 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 −0.912428 0.409236i \(-0.865795\pi\)
0.994804 + 0.101805i \(0.0324618\pi\)
\(744\) −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 0.893731 0.448603i \(-0.148078\pi\)
0.0583635 + 0.998295i \(0.481412\pi\)
\(752\) −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 0.857827 0.513938i \(-0.171814\pi\)
−0.873997 + 0.485931i \(0.838481\pi\)
\(758\) 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 0.964155 + 0.265338i \(0.0854836\pi\)
0.265338 + 0.964155i \(0.414516\pi\)
\(762\) −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 0.170235 0.985403i \(-0.445547\pi\)
−0.345274 + 0.938502i \(0.612214\pi\)
\(770\) 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 0.476642 0.879097i \(-0.341854\pi\)
−0.0267645 + 0.999642i \(0.508520\pi\)