Properties

Label 384.2.w.a.11.9
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.9
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.27198 + 0.618111i) q^{2} +(-1.15591 + 1.28991i) q^{3} +(1.23588 - 1.57245i) q^{4} +(1.21911 + 0.651630i) q^{5} +(0.672992 - 2.35522i) q^{6} +(1.31145 + 0.260863i) q^{7} +(-0.600063 + 2.76404i) q^{8} +(-0.327733 - 2.98204i) q^{9} +O(q^{10})\) \(q+(-1.27198 + 0.618111i) q^{2} +(-1.15591 + 1.28991i) q^{3} +(1.23588 - 1.57245i) q^{4} +(1.21911 + 0.651630i) q^{5} +(0.672992 - 2.35522i) q^{6} +(1.31145 + 0.260863i) q^{7} +(-0.600063 + 2.76404i) q^{8} +(-0.327733 - 2.98204i) q^{9} +(-1.95347 - 0.0753137i) q^{10} +(1.62501 - 1.33361i) q^{11} +(0.599756 + 3.41179i) q^{12} +(4.29625 - 2.29639i) q^{13} +(-1.82938 + 0.478807i) q^{14} +(-2.24973 + 0.819320i) q^{15} +(-0.945216 - 3.88672i) q^{16} +(1.96375 - 0.813410i) q^{17} +(2.26011 + 3.59053i) q^{18} +(-0.802644 + 2.64596i) q^{19} +(2.53133 - 1.11166i) q^{20} +(-1.85241 + 1.39011i) q^{21} +(-1.24267 + 2.70077i) q^{22} +(2.52503 + 1.68717i) q^{23} +(-2.87174 - 3.96902i) q^{24} +(-1.71623 - 2.56853i) q^{25} +(-4.04532 + 5.57653i) q^{26} +(4.22540 + 3.02424i) q^{27} +(2.03098 - 1.73979i) q^{28} +(1.95084 + 1.60101i) q^{29} +(2.35519 - 2.43274i) q^{30} +(-3.06285 + 3.06285i) q^{31} +(3.60472 + 4.35959i) q^{32} +(-0.158132 + 3.63766i) q^{33} +(-1.99507 + 2.24846i) q^{34} +(1.42882 + 1.17260i) q^{35} +(-5.09416 - 3.17010i) q^{36} +(2.30379 + 7.59457i) q^{37} +(-0.614550 - 3.86174i) q^{38} +(-2.00395 + 8.19620i) q^{39} +(-2.53268 + 2.97866i) q^{40} +(3.25710 + 2.17633i) q^{41} +(1.49699 - 2.91319i) q^{42} +(-0.725241 + 7.36349i) q^{43} +(-0.0887285 - 4.20344i) q^{44} +(1.54365 - 3.84901i) q^{45} +(-4.25465 - 0.585301i) q^{46} +(-6.67745 + 2.76589i) q^{47} +(6.10610 + 3.27346i) q^{48} +(-4.81531 - 1.99457i) q^{49} +(3.77065 + 2.20630i) q^{50} +(-1.22069 + 3.47328i) q^{51} +(1.69866 - 9.59370i) q^{52} +(7.57340 - 6.21533i) q^{53} +(-7.24395 - 1.23501i) q^{54} +(2.85010 - 0.566920i) q^{55} +(-1.50799 + 3.46836i) q^{56} +(-2.48527 - 4.09384i) q^{57} +(-3.47104 - 0.830624i) q^{58} +(7.16776 + 3.83125i) q^{59} +(-1.49205 + 4.55018i) q^{60} +(-0.633870 - 6.43579i) q^{61} +(2.00271 - 5.78908i) q^{62} +(0.348100 - 3.99629i) q^{63} +(-7.27985 - 3.31720i) q^{64} +6.73401 q^{65} +(-2.04734 - 4.72478i) q^{66} +(5.99224 - 0.590184i) q^{67} +(1.14790 - 4.09317i) q^{68} +(-5.09500 + 1.30684i) q^{69} +(-2.54223 - 0.608359i) q^{70} +(-14.9425 - 2.97225i) q^{71} +(8.43916 + 0.883545i) q^{72} +(-1.48393 - 7.46021i) q^{73} +(-7.62466 - 8.23616i) q^{74} +(5.29698 + 0.755204i) q^{75} +(3.16868 + 4.53220i) q^{76} +(2.47901 - 1.32506i) q^{77} +(-2.51718 - 11.6641i) q^{78} +(3.48886 - 8.42285i) q^{79} +(1.38038 - 5.35428i) q^{80} +(-8.78518 + 1.95463i) q^{81} +(-5.48819 - 0.754997i) q^{82} +(2.84775 - 9.38778i) q^{83} +(-0.103460 + 4.63083i) q^{84} +(2.92407 + 0.287996i) q^{85} +(-3.62896 - 9.81451i) q^{86} +(-4.32016 + 0.665776i) q^{87} +(2.71106 + 5.29186i) q^{88} +(4.91395 + 7.35425i) q^{89} +(0.415629 + 5.85002i) q^{90} +(6.23335 - 1.89086i) q^{91} +(5.77361 - 1.88535i) q^{92} +(-0.410414 - 7.49119i) q^{93} +(6.78397 - 7.64557i) q^{94} +(-2.70270 + 2.70270i) q^{95} +(-9.79021 - 0.389534i) q^{96} +(8.47721 + 8.47721i) q^{97} +(7.35785 - 0.439344i) q^{98} +(-4.50947 - 4.40879i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.27198 + 0.618111i −0.899427 + 0.437071i
\(3\) −1.15591 + 1.28991i −0.667366 + 0.744730i
\(4\) 1.23588 1.57245i 0.617939 0.786226i
\(5\) 1.21911 + 0.651630i 0.545204 + 0.291418i 0.720914 0.693024i \(-0.243722\pi\)
−0.175710 + 0.984442i \(0.556222\pi\)
\(6\) 0.672992 2.35522i 0.274748 0.961516i
\(7\) 1.31145 + 0.260863i 0.495681 + 0.0985970i 0.436599 0.899656i \(-0.356183\pi\)
0.0590815 + 0.998253i \(0.481183\pi\)
\(8\) −0.600063 + 2.76404i −0.212154 + 0.977236i
\(9\) −0.327733 2.98204i −0.109244 0.994015i
\(10\) −1.95347 0.0753137i −0.617742 0.0238163i
\(11\) 1.62501 1.33361i 0.489960 0.402100i −0.356712 0.934214i \(-0.616102\pi\)
0.846672 + 0.532114i \(0.178602\pi\)
\(12\) 0.599756 + 3.41179i 0.173135 + 0.984898i
\(13\) 4.29625 2.29639i 1.19156 0.636904i 0.248215 0.968705i \(-0.420156\pi\)
0.943350 + 0.331801i \(0.107656\pi\)
\(14\) −1.82938 + 0.478807i −0.488922 + 0.127967i
\(15\) −2.24973 + 0.819320i −0.580878 + 0.211547i
\(16\) −0.945216 3.88672i −0.236304 0.971679i
\(17\) 1.96375 0.813410i 0.476278 0.197281i −0.131613 0.991301i \(-0.542016\pi\)
0.607891 + 0.794020i \(0.292016\pi\)
\(18\) 2.26011 + 3.59053i 0.532712 + 0.846296i
\(19\) −0.802644 + 2.64596i −0.184139 + 0.607025i 0.815463 + 0.578809i \(0.196483\pi\)
−0.999602 + 0.0282157i \(0.991017\pi\)
\(20\) 2.53133 1.11166i 0.566023 0.248576i
\(21\) −1.85241 + 1.39011i −0.404229 + 0.303348i
\(22\) −1.24267 + 2.70077i −0.264937 + 0.575807i
\(23\) 2.52503 + 1.68717i 0.526504 + 0.351799i 0.790241 0.612796i \(-0.209955\pi\)
−0.263737 + 0.964595i \(0.584955\pi\)
\(24\) −2.87174 3.96902i −0.586192 0.810172i
\(25\) −1.71623 2.56853i −0.343247 0.513705i
\(26\) −4.04532 + 5.57653i −0.793353 + 1.09365i
\(27\) 4.22540 + 3.02424i 0.813178 + 0.582014i
\(28\) 2.03098 1.73979i 0.383820 0.328790i
\(29\) 1.95084 + 1.60101i 0.362262 + 0.297301i 0.797863 0.602839i \(-0.205964\pi\)
−0.435601 + 0.900140i \(0.643464\pi\)
\(30\) 2.35519 2.43274i 0.429997 0.444156i
\(31\) −3.06285 + 3.06285i −0.550104 + 0.550104i −0.926471 0.376366i \(-0.877173\pi\)
0.376366 + 0.926471i \(0.377173\pi\)
\(32\) 3.60472 + 4.35959i 0.637231 + 0.770673i
\(33\) −0.158132 + 3.63766i −0.0275272 + 0.633236i
\(34\) −1.99507 + 2.24846i −0.342152 + 0.385607i
\(35\) 1.42882 + 1.17260i 0.241514 + 0.198206i
\(36\) −5.09416 3.17010i −0.849027 0.528349i
\(37\) 2.30379 + 7.59457i 0.378740 + 1.24854i 0.914644 + 0.404260i \(0.132471\pi\)
−0.535904 + 0.844279i \(0.680029\pi\)
\(38\) −0.614550 3.86174i −0.0996932 0.626457i
\(39\) −2.00395 + 8.19620i −0.320888 + 1.31244i
\(40\) −2.53268 + 2.97866i −0.400451 + 0.470968i
\(41\) 3.25710 + 2.17633i 0.508674 + 0.339885i 0.783277 0.621672i \(-0.213547\pi\)
−0.274603 + 0.961558i \(0.588547\pi\)
\(42\) 1.49699 2.91319i 0.230990 0.449516i
\(43\) −0.725241 + 7.36349i −0.110598 + 1.12292i 0.766379 + 0.642389i \(0.222057\pi\)
−0.876977 + 0.480533i \(0.840443\pi\)
\(44\) −0.0887285 4.20344i −0.0133763 0.633693i
\(45\) 1.54365 3.84901i 0.230113 0.573777i
\(46\) −4.25465 0.585301i −0.627313 0.0862979i
\(47\) −6.67745 + 2.76589i −0.974007 + 0.403447i −0.812202 0.583376i \(-0.801731\pi\)
−0.161805 + 0.986823i \(0.551731\pi\)
\(48\) 6.10610 + 3.27346i 0.881340 + 0.472483i
\(49\) −4.81531 1.99457i −0.687902 0.284938i
\(50\) 3.77065 + 2.20630i 0.533251 + 0.312017i
\(51\) −1.22069 + 3.47328i −0.170931 + 0.486357i
\(52\) 1.69866 9.59370i 0.235562 1.33041i
\(53\) 7.57340 6.21533i 1.04029 0.853741i 0.0508496 0.998706i \(-0.483807\pi\)
0.989437 + 0.144965i \(0.0463071\pi\)
\(54\) −7.24395 1.23501i −0.985776 0.168063i
\(55\) 2.85010 0.566920i 0.384307 0.0764435i
\(56\) −1.50799 + 3.46836i −0.201513 + 0.463479i
\(57\) −2.48527 4.09384i −0.329181 0.542242i
\(58\) −3.47104 0.830624i −0.455770 0.109066i
\(59\) 7.16776 + 3.83125i 0.933163 + 0.498786i 0.866604 0.498997i \(-0.166298\pi\)
0.0665589 + 0.997782i \(0.478798\pi\)
\(60\) −1.49205 + 4.55018i −0.192623 + 0.587425i
\(61\) −0.633870 6.43579i −0.0811587 0.824018i −0.946472 0.322787i \(-0.895380\pi\)
0.865313 0.501232i \(-0.167120\pi\)
\(62\) 2.00271 5.78908i 0.254344 0.735213i
\(63\) 0.348100 3.99629i 0.0438565 0.503485i
\(64\) −7.27985 3.31720i −0.909981 0.414650i
\(65\) 6.73401 0.835251
\(66\) −2.04734 4.72478i −0.252010 0.581581i
\(67\) 5.99224 0.590184i 0.732068 0.0721024i 0.274888 0.961476i \(-0.411359\pi\)
0.457181 + 0.889374i \(0.348859\pi\)
\(68\) 1.14790 4.09317i 0.139203 0.496370i
\(69\) −5.09500 + 1.30684i −0.613366 + 0.157325i
\(70\) −2.54223 0.608359i −0.303854 0.0727128i
\(71\) −14.9425 2.97225i −1.77335 0.352742i −0.803288 0.595591i \(-0.796918\pi\)
−0.970064 + 0.242850i \(0.921918\pi\)
\(72\) 8.43916 + 0.883545i 0.994564 + 0.104127i
\(73\) −1.48393 7.46021i −0.173681 0.873152i −0.965101 0.261879i \(-0.915658\pi\)
0.791420 0.611273i \(-0.209342\pi\)
\(74\) −7.62466 8.23616i −0.886349 0.957434i
\(75\) 5.29698 + 0.755204i 0.611643 + 0.0872034i
\(76\) 3.16868 + 4.53220i 0.363473 + 0.519879i
\(77\) 2.47901 1.32506i 0.282510 0.151005i
\(78\) −2.51718 11.6641i −0.285014 1.32070i
\(79\) 3.48886 8.42285i 0.392527 0.947645i −0.596860 0.802345i \(-0.703585\pi\)
0.989388 0.145300i \(-0.0464146\pi\)
\(80\) 1.38038 5.35428i 0.154331 0.598627i
\(81\) −8.78518 + 1.95463i −0.976131 + 0.217181i
\(82\) −5.48819 0.754997i −0.606069 0.0833754i
\(83\) 2.84775 9.38778i 0.312581 1.03044i −0.650110 0.759840i \(-0.725277\pi\)
0.962691 0.270602i \(-0.0872228\pi\)
\(84\) −0.103460 + 4.63083i −0.0112884 + 0.505265i
\(85\) 2.92407 + 0.287996i 0.317160 + 0.0312375i
\(86\) −3.62896 9.81451i −0.391321 1.05833i
\(87\) −4.32016 + 0.665776i −0.463170 + 0.0713787i
\(88\) 2.71106 + 5.29186i 0.288999 + 0.564114i
\(89\) 4.91395 + 7.35425i 0.520878 + 0.779549i 0.994890 0.100970i \(-0.0321945\pi\)
−0.474011 + 0.880519i \(0.657194\pi\)
\(90\) 0.415629 + 5.85002i 0.0438111 + 0.616646i
\(91\) 6.23335 1.89086i 0.653432 0.198217i
\(92\) 5.77361 1.88535i 0.601941 0.196561i
\(93\) −0.410414 7.49119i −0.0425579 0.776800i
\(94\) 6.78397 7.64557i 0.699713 0.788581i
\(95\) −2.70270 + 2.70270i −0.277291 + 0.277291i
\(96\) −9.79021 0.389534i −0.999209 0.0397567i
\(97\) 8.47721 + 8.47721i 0.860731 + 0.860731i 0.991423 0.130692i \(-0.0417200\pi\)
−0.130692 + 0.991423i \(0.541720\pi\)
\(98\) 7.35785 0.439344i 0.743256 0.0443805i
\(99\) −4.50947 4.40879i −0.453219 0.443100i
\(100\) −6.15994 0.475685i −0.615994 0.0475685i
\(101\) 1.15539 + 3.80880i 0.114965 + 0.378990i 0.995473 0.0950416i \(-0.0302984\pi\)
−0.880508 + 0.474031i \(0.842798\pi\)
\(102\) −0.594177 5.17248i −0.0588323 0.512152i
\(103\) 5.51669 3.68613i 0.543575 0.363205i −0.253263 0.967397i \(-0.581504\pi\)
0.796839 + 0.604192i \(0.206504\pi\)
\(104\) 3.76930 + 13.2530i 0.369611 + 1.29956i
\(105\) −3.16414 + 0.487622i −0.308788 + 0.0475871i
\(106\) −5.79146 + 12.5870i −0.562517 + 1.22256i
\(107\) 0.382107 3.87960i 0.0369397 0.375055i −0.958887 0.283789i \(-0.908409\pi\)
0.995827 0.0912662i \(-0.0290914\pi\)
\(108\) 9.97754 2.90666i 0.960089 0.279693i
\(109\) −11.1169 3.37226i −1.06480 0.323004i −0.291191 0.956665i \(-0.594051\pi\)
−0.773611 + 0.633661i \(0.781551\pi\)
\(110\) −3.27486 + 2.48279i −0.312245 + 0.236725i
\(111\) −12.4593 5.80698i −1.18258 0.551174i
\(112\) −0.225700 5.34380i −0.0213267 0.504941i
\(113\) −12.1135 5.01758i −1.13954 0.472014i −0.268529 0.963272i \(-0.586537\pi\)
−0.871014 + 0.491257i \(0.836537\pi\)
\(114\) 5.69166 + 3.67112i 0.533073 + 0.343832i
\(115\) 1.97888 + 3.70223i 0.184532 + 0.345235i
\(116\) 4.92852 1.08895i 0.457601 0.101106i
\(117\) −8.25597 12.0590i −0.763264 1.11485i
\(118\) −11.4854 0.442805i −1.05732 0.0407635i
\(119\) 2.78754 0.554476i 0.255533 0.0508287i
\(120\) −0.914653 6.71000i −0.0834960 0.612536i
\(121\) −1.28385 + 6.45435i −0.116714 + 0.586759i
\(122\) 4.78430 + 7.79441i 0.433151 + 0.705672i
\(123\) −6.57219 + 1.68573i −0.592594 + 0.151997i
\(124\) 1.03088 + 8.60150i 0.0925759 + 0.772437i
\(125\) −1.09602 11.1281i −0.0980311 0.995326i
\(126\) 2.02737 + 5.29837i 0.180613 + 0.472017i
\(127\) 8.14819i 0.723035i −0.932365 0.361517i \(-0.882259\pi\)
0.932365 0.361517i \(-0.117741\pi\)
\(128\) 11.3102 0.280342i 0.999693 0.0247790i
\(129\) −8.65992 9.44705i −0.762464 0.831766i
\(130\) −8.56554 + 4.16237i −0.751248 + 0.365064i
\(131\) −13.4950 + 1.32914i −1.17907 + 0.116128i −0.668501 0.743711i \(-0.733064\pi\)
−0.510565 + 0.859839i \(0.670564\pi\)
\(132\) 5.52462 + 4.74436i 0.480857 + 0.412943i
\(133\) −1.74286 + 3.26066i −0.151125 + 0.282735i
\(134\) −7.25722 + 4.45457i −0.626928 + 0.384817i
\(135\) 3.18056 + 6.44028i 0.273739 + 0.554291i
\(136\) 1.06993 + 5.91597i 0.0917456 + 0.507290i
\(137\) 2.99633 + 15.0636i 0.255994 + 1.28697i 0.868178 + 0.496253i \(0.165291\pi\)
−0.612184 + 0.790715i \(0.709709\pi\)
\(138\) 5.67298 4.81155i 0.482916 0.409586i
\(139\) 11.0380 + 13.4499i 0.936232 + 1.14080i 0.989832 + 0.142240i \(0.0454304\pi\)
−0.0536001 + 0.998562i \(0.517070\pi\)
\(140\) 3.60970 0.797559i 0.305076 0.0674060i
\(141\) 4.15080 11.8104i 0.349560 0.994618i
\(142\) 20.8438 5.45549i 1.74917 0.457815i
\(143\) 3.91896 9.46120i 0.327720 0.791186i
\(144\) −11.2806 + 4.09248i −0.940049 + 0.341040i
\(145\) 1.33503 + 3.22304i 0.110868 + 0.267659i
\(146\) 6.49877 + 8.57203i 0.537842 + 0.709426i
\(147\) 8.13889 3.90577i 0.671284 0.322143i
\(148\) 14.7893 + 5.76336i 1.21567 + 0.473745i
\(149\) −11.8250 1.16466i −0.968744 0.0954130i −0.398748 0.917060i \(-0.630555\pi\)
−0.569996 + 0.821647i \(0.693055\pi\)
\(150\) −7.20447 + 2.31352i −0.588242 + 0.188898i
\(151\) 1.94910 2.91704i 0.158616 0.237385i −0.743646 0.668573i \(-0.766905\pi\)
0.902262 + 0.431188i \(0.141905\pi\)
\(152\) −6.83191 3.80628i −0.554141 0.308730i
\(153\) −3.06921 5.58939i −0.248131 0.451876i
\(154\) −2.33422 + 3.21776i −0.188097 + 0.259294i
\(155\) −5.72981 + 1.73812i −0.460230 + 0.139609i
\(156\) 10.4115 + 13.2806i 0.833587 + 1.06330i
\(157\) 10.0934 12.2989i 0.805544 0.981558i −0.194456 0.980911i \(-0.562294\pi\)
1.00000 0.000646559i \(-0.000205806\pi\)
\(158\) 0.768492 + 12.8702i 0.0611380 + 1.02390i
\(159\) −0.736974 + 16.9534i −0.0584459 + 1.34449i
\(160\) 1.55373 + 7.66378i 0.122833 + 0.605875i
\(161\) 2.87132 + 2.87132i 0.226292 + 0.226292i
\(162\) 9.96641 7.91648i 0.783035 0.621977i
\(163\) −10.3579 + 12.6211i −0.811294 + 0.988564i 0.188685 + 0.982038i \(0.439577\pi\)
−0.999979 + 0.00652637i \(0.997923\pi\)
\(164\) 7.44755 2.43197i 0.581556 0.189905i
\(165\) −2.56319 + 4.33168i −0.199544 + 0.337221i
\(166\) 2.18040 + 13.7013i 0.169232 + 1.06343i
\(167\) −8.31866 + 5.55835i −0.643717 + 0.430118i −0.834116 0.551589i \(-0.814022\pi\)
0.190399 + 0.981707i \(0.439022\pi\)
\(168\) −2.73077 5.95429i −0.210684 0.459383i
\(169\) 5.96191 8.92262i 0.458608 0.686356i
\(170\) −3.89738 + 1.44108i −0.298915 + 0.110525i
\(171\) 8.15343 + 1.52635i 0.623508 + 0.116723i
\(172\) 10.6824 + 10.2408i 0.814528 + 0.780852i
\(173\) 10.3149 + 3.12899i 0.784228 + 0.237893i 0.656910 0.753969i \(-0.271863\pi\)
0.127318 + 0.991862i \(0.459363\pi\)
\(174\) 5.08364 3.51720i 0.385390 0.266638i
\(175\) −1.58072 3.81619i −0.119491 0.288477i
\(176\) −6.71937 5.05541i −0.506492 0.381066i
\(177\) −13.2273 + 4.81718i −0.994222 + 0.362081i
\(178\) −10.7962 6.31711i −0.809210 0.473487i
\(179\) −8.11603 15.1840i −0.606620 1.13491i −0.978426 0.206596i \(-0.933761\pi\)
0.371806 0.928310i \(-0.378739\pi\)
\(180\) −4.14464 7.18422i −0.308923 0.535480i
\(181\) −4.59568 5.59985i −0.341594 0.416234i 0.573671 0.819086i \(-0.305519\pi\)
−0.915265 + 0.402852i \(0.868019\pi\)
\(182\) −6.75994 + 6.25805i −0.501080 + 0.463877i
\(183\) 9.03428 + 6.62157i 0.667833 + 0.489481i
\(184\) −6.17858 + 5.96687i −0.455491 + 0.439883i
\(185\) −2.14027 + 10.7599i −0.157356 + 0.791081i
\(186\) 5.15243 + 9.27498i 0.377794 + 0.680074i
\(187\) 2.10634 3.94068i 0.154031 0.288171i
\(188\) −3.90328 + 13.9183i −0.284676 + 1.01510i
\(189\) 4.75248 + 5.06838i 0.345692 + 0.368670i
\(190\) 1.76722 5.10836i 0.128207 0.370599i
\(191\) 7.36483i 0.532901i −0.963849 0.266450i \(-0.914149\pi\)
0.963849 0.266450i \(-0.0858508\pi\)
\(192\) 12.6938 5.55596i 0.916093 0.400967i
\(193\) 10.7489i 0.773721i −0.922138 0.386860i \(-0.873560\pi\)
0.922138 0.386860i \(-0.126440\pi\)
\(194\) −16.0227 5.54300i −1.15036 0.397964i
\(195\) −7.78393 + 8.68627i −0.557419 + 0.622036i
\(196\) −9.08750 + 5.10681i −0.649107 + 0.364772i
\(197\) −7.38665 + 13.8194i −0.526277 + 0.984595i 0.468591 + 0.883415i \(0.344762\pi\)
−0.994868 + 0.101180i \(0.967738\pi\)
\(198\) 8.46109 + 2.82055i 0.601303 + 0.200448i
\(199\) 2.95408 14.8512i 0.209409 1.05277i −0.722856 0.690998i \(-0.757171\pi\)
0.932266 0.361774i \(-0.117829\pi\)
\(200\) 8.12936 3.20247i 0.574833 0.226448i
\(201\) −6.16522 + 8.41165i −0.434861 + 0.593312i
\(202\) −3.82389 4.13057i −0.269048 0.290626i
\(203\) 2.14078 + 2.60855i 0.150253 + 0.183084i
\(204\) 3.95295 + 6.21203i 0.276762 + 0.434929i
\(205\) 2.55262 + 4.77562i 0.178283 + 0.333544i
\(206\) −4.73869 + 8.09862i −0.330160 + 0.564258i
\(207\) 4.20368 8.08268i 0.292176 0.561785i
\(208\) −12.9863 14.5277i −0.900438 1.00732i
\(209\) 2.22439 + 5.37014i 0.153864 + 0.371460i
\(210\) 3.72332 2.57604i 0.256934 0.177763i
\(211\) 21.4247 + 6.49911i 1.47494 + 0.447417i 0.922454 0.386106i \(-0.126180\pi\)
0.552483 + 0.833524i \(0.313680\pi\)
\(212\) −0.413520 19.5902i −0.0284007 1.34546i
\(213\) 21.1062 15.8388i 1.44617 1.08526i
\(214\) 1.91199 + 5.17096i 0.130701 + 0.353480i
\(215\) −5.68242 + 8.50435i −0.387538 + 0.579992i
\(216\) −10.8946 + 9.86445i −0.741285 + 0.671191i
\(217\) −4.81576 + 3.21778i −0.326915 + 0.218437i
\(218\) 16.2249 2.58200i 1.09889 0.174875i
\(219\) 11.3383 + 6.70922i 0.766171 + 0.453367i
\(220\) 2.63092 5.18229i 0.177376 0.349390i
\(221\) 6.56883 8.00414i 0.441867 0.538417i
\(222\) 19.4373 0.314850i 1.30455 0.0211313i
\(223\) −13.2390 13.2390i −0.886550 0.886550i 0.107640 0.994190i \(-0.465671\pi\)
−0.994190 + 0.107640i \(0.965671\pi\)
\(224\) 3.59015 + 6.65771i 0.239877 + 0.444837i
\(225\) −7.09699 + 5.95968i −0.473133 + 0.397312i
\(226\) 18.5096 1.10522i 1.23124 0.0735184i
\(227\) −9.78946 + 11.9285i −0.649749 + 0.791722i −0.988832 0.149035i \(-0.952383\pi\)
0.339083 + 0.940757i \(0.389883\pi\)
\(228\) −9.50885 1.15152i −0.629739 0.0762611i
\(229\) 3.94207 1.19581i 0.260499 0.0790216i −0.157334 0.987546i \(-0.550290\pi\)
0.417833 + 0.908524i \(0.362790\pi\)
\(230\) −4.80550 3.48600i −0.316865 0.229860i
\(231\) −1.15631 + 4.72935i −0.0760798 + 0.311169i
\(232\) −5.59589 + 4.43149i −0.367388 + 0.290942i
\(233\) −15.1405 + 22.6593i −0.991886 + 1.48446i −0.121196 + 0.992629i \(0.538673\pi\)
−0.870690 + 0.491833i \(0.836327\pi\)
\(234\) 17.9552 + 10.2357i 1.17377 + 0.669130i
\(235\) −9.94292 0.979292i −0.648604 0.0638819i
\(236\) 14.8829 6.53601i 0.968796 0.425458i
\(237\) 6.83190 + 14.2364i 0.443780 + 0.924753i
\(238\) −3.20297 + 2.42829i −0.207618 + 0.157403i
\(239\) −0.663063 1.60078i −0.0428900 0.103546i 0.900983 0.433855i \(-0.142847\pi\)
−0.943873 + 0.330309i \(0.892847\pi\)
\(240\) 5.31095 + 7.96964i 0.342820 + 0.514438i
\(241\) 3.25450 7.85706i 0.209641 0.506118i −0.783726 0.621107i \(-0.786683\pi\)
0.993367 + 0.114989i \(0.0366833\pi\)
\(242\) −2.35647 9.00339i −0.151480 0.578760i
\(243\) 7.63360 13.5915i 0.489696 0.871893i
\(244\) −10.9034 6.95711i −0.698016 0.445383i
\(245\) −4.57069 5.56941i −0.292011 0.355816i
\(246\) 7.31774 6.20656i 0.466562 0.395716i
\(247\) 2.62781 + 13.2109i 0.167203 + 0.840589i
\(248\) −6.62795 10.3038i −0.420875 0.654289i
\(249\) 8.81763 + 14.5248i 0.558795 + 0.920471i
\(250\) 8.27251 + 13.4773i 0.523200 + 0.852377i
\(251\) 7.56589 14.1548i 0.477555 0.893442i −0.521634 0.853169i \(-0.674677\pi\)
0.999189 0.0402726i \(-0.0128226\pi\)
\(252\) −5.85377 5.48629i −0.368753 0.345604i
\(253\) 6.35323 0.625739i 0.399424 0.0393399i
\(254\) 5.03649 + 10.3643i 0.316017 + 0.650317i
\(255\) −3.75146 + 3.43889i −0.234925 + 0.215352i
\(256\) −14.2131 + 7.34757i −0.888321 + 0.459223i
\(257\) 5.64756i 0.352285i −0.984365 0.176143i \(-0.943638\pi\)
0.984365 0.176143i \(-0.0563620\pi\)
\(258\) 16.8546 + 6.66368i 1.04932 + 0.414862i
\(259\) 1.04015 + 10.5609i 0.0646320 + 0.656219i
\(260\) 8.32241 10.5889i 0.516134 0.656697i
\(261\) 4.13494 6.34220i 0.255946 0.392572i
\(262\) 16.3439 10.0321i 1.00973 0.619784i
\(263\) 3.43585 17.2732i 0.211863 1.06511i −0.717673 0.696380i \(-0.754793\pi\)
0.929537 0.368730i \(-0.120207\pi\)
\(264\) −9.95976 2.61991i −0.612981 0.161244i
\(265\) 13.2829 2.64214i 0.815964 0.162305i
\(266\) 0.201435 5.22478i 0.0123508 0.320352i
\(267\) −15.1664 2.16231i −0.928170 0.132331i
\(268\) 6.47763 10.1519i 0.395684 0.620126i
\(269\) −2.52369 4.72150i −0.153872 0.287875i 0.793160 0.609013i \(-0.208434\pi\)
−0.947032 + 0.321139i \(0.895934\pi\)
\(270\) −8.02643 6.22599i −0.488473 0.378902i
\(271\) −23.8685 9.88666i −1.44991 0.600572i −0.487730 0.872994i \(-0.662175\pi\)
−0.962178 + 0.272423i \(0.912175\pi\)
\(272\) −5.01766 6.86367i −0.304240 0.416171i
\(273\) −4.76616 + 10.2261i −0.288461 + 0.618913i
\(274\) −13.1222 17.3085i −0.792743 1.04565i
\(275\) −6.21433 1.88510i −0.374738 0.113676i
\(276\) −4.24186 + 9.62674i −0.255330 + 0.579462i
\(277\) −3.13981 + 31.8791i −0.188653 + 1.91543i 0.176188 + 0.984357i \(0.443623\pi\)
−0.364841 + 0.931070i \(0.618877\pi\)
\(278\) −22.3537 10.2853i −1.34068 0.616869i
\(279\) 10.1374 + 8.12976i 0.606908 + 0.486716i
\(280\) −4.09850 + 3.24568i −0.244932 + 0.193966i
\(281\) 10.0887 6.74107i 0.601843 0.402138i −0.216987 0.976174i \(-0.569623\pi\)
0.818830 + 0.574036i \(0.194623\pi\)
\(282\) 2.02042 + 17.5883i 0.120314 + 1.04737i
\(283\) −6.75116 22.2556i −0.401315 1.32296i −0.892163 0.451713i \(-0.850813\pi\)
0.490848 0.871245i \(-0.336687\pi\)
\(284\) −23.1409 + 19.8231i −1.37316 + 1.17628i
\(285\) −0.362155 6.61033i −0.0214522 0.391562i
\(286\) 0.863231 + 14.4568i 0.0510439 + 0.854851i
\(287\) 3.70380 + 3.70380i 0.218628 + 0.218628i
\(288\) 11.8191 12.1782i 0.696447 0.717609i
\(289\) −8.82616 + 8.82616i −0.519186 + 0.519186i
\(290\) −3.69033 3.27446i −0.216704 0.192283i
\(291\) −20.7338 + 1.13592i −1.21543 + 0.0665890i
\(292\) −13.5648 6.88650i −0.793819 0.403002i
\(293\) −2.90352 + 0.880774i −0.169626 + 0.0514554i −0.373955 0.927447i \(-0.621999\pi\)
0.204330 + 0.978902i \(0.434499\pi\)
\(294\) −7.93832 + 9.99881i −0.462972 + 0.583142i
\(295\) 6.24176 + 9.34145i 0.363409 + 0.543881i
\(296\) −22.3741 + 1.81055i −1.30047 + 0.105236i
\(297\) 10.8995 0.720628i 0.632453 0.0418151i
\(298\) 15.7611 5.82775i 0.913017 0.337593i
\(299\) 14.7225 + 1.45004i 0.851426 + 0.0838581i
\(300\) 7.73394 7.39592i 0.446519 0.427003i
\(301\) −2.87198 + 9.46765i −0.165538 + 0.545706i
\(302\) −0.676170 + 4.91518i −0.0389092 + 0.282837i
\(303\) −6.24853 2.91229i −0.358969 0.167307i
\(304\) 11.0428 + 0.618643i 0.633346 + 0.0354816i
\(305\) 3.42099 8.25901i 0.195885 0.472909i
\(306\) 7.35885 + 5.21250i 0.420677 + 0.297979i
\(307\) −21.1223 + 11.2901i −1.20551 + 0.644361i −0.946871 0.321613i \(-0.895775\pi\)
−0.258642 + 0.965973i \(0.583275\pi\)
\(308\) 0.980160 5.53574i 0.0558498 0.315428i
\(309\) −1.62203 + 11.3769i −0.0922740 + 0.647208i
\(310\) 6.21387 5.75252i 0.352924 0.326721i
\(311\) −0.696634 3.50221i −0.0395025 0.198592i 0.955995 0.293384i \(-0.0947815\pi\)
−0.995497 + 0.0947918i \(0.969781\pi\)
\(312\) −21.4521 10.4572i −1.21449 0.592024i
\(313\) 31.5053 + 6.26680i 1.78079 + 0.354220i 0.972199 0.234157i \(-0.0752330\pi\)
0.808587 + 0.588377i \(0.200233\pi\)
\(314\) −5.23659 + 21.8828i −0.295518 + 1.23492i
\(315\) 3.02848 4.64510i 0.170635 0.261722i
\(316\) −8.93273 15.8957i −0.502506 0.894201i
\(317\) −25.3464 + 2.49640i −1.42359 + 0.140212i −0.780299 0.625407i \(-0.784933\pi\)
−0.643294 + 0.765619i \(0.722433\pi\)
\(318\) −9.54165 22.0199i −0.535069 1.23482i
\(319\) 5.30528 0.297038
\(320\) −6.71338 8.78781i −0.375289 0.491253i
\(321\) 4.56265 + 4.97736i 0.254662 + 0.277809i
\(322\) −5.42706 1.87747i −0.302438 0.104627i
\(323\) 0.576064 + 5.84887i 0.0320530 + 0.325440i
\(324\) −7.78384 + 16.2300i −0.432435 + 0.901665i
\(325\) −13.2717 7.09387i −0.736182 0.393497i
\(326\) 5.37380 22.4562i 0.297627 1.24373i
\(327\) 17.2000 10.4417i 0.951163 0.577427i
\(328\) −7.96992 + 7.69684i −0.440065 + 0.424987i
\(329\) −9.47865 + 1.88542i −0.522575 + 0.103947i
\(330\) 0.582871 7.09416i 0.0320860 0.390521i
\(331\) 9.71320 7.97142i 0.533886 0.438149i −0.328424 0.944531i \(-0.606517\pi\)
0.862309 + 0.506382i \(0.169017\pi\)
\(332\) −11.2424 16.0801i −0.617005 0.882510i
\(333\) 21.8923 9.35899i 1.19969 0.512870i
\(334\) 7.14551 12.2120i 0.390985 0.668210i
\(335\) 7.68980 + 3.18522i 0.420139 + 0.174027i
\(336\) 7.15391 + 5.88583i 0.390278 + 0.321098i
\(337\) −18.2785 + 7.57122i −0.995696 + 0.412431i −0.820217 0.572052i \(-0.806147\pi\)
−0.175479 + 0.984483i \(0.556147\pi\)
\(338\) −2.06826 + 15.0345i −0.112499 + 0.817771i
\(339\) 20.4744 9.82545i 1.11202 0.533645i
\(340\) 4.06665 4.24204i 0.220545 0.230057i
\(341\) −0.892513 + 9.06184i −0.0483323 + 0.490726i
\(342\) −11.3145 + 3.09824i −0.611816 + 0.167533i
\(343\) −13.5773 9.07204i −0.733103 0.489844i
\(344\) −19.9178 6.42315i −1.07390 0.346313i
\(345\) −7.06296 1.72687i −0.380257 0.0929718i
\(346\) −15.0545 + 2.39574i −0.809332 + 0.128796i
\(347\) −3.70483 12.2132i −0.198886 0.655639i −0.998481 0.0550992i \(-0.982452\pi\)
0.799595 0.600540i \(-0.205048\pi\)
\(348\) −4.29229 + 7.61607i −0.230091 + 0.408264i
\(349\) −22.2395 18.2515i −1.19045 0.976978i −0.190462 0.981695i \(-0.560999\pi\)
−0.999989 + 0.00471650i \(0.998499\pi\)
\(350\) 4.36947 + 3.87707i 0.233558 + 0.207238i
\(351\) 25.0982 + 3.28969i 1.33964 + 0.175591i
\(352\) 11.6717 + 2.27708i 0.622105 + 0.121369i
\(353\) 18.6640 18.6640i 0.993386 0.993386i −0.00659216 0.999978i \(-0.502098\pi\)
0.999978 + 0.00659216i \(0.00209836\pi\)
\(354\) 13.8473 14.3033i 0.735975 0.760211i
\(355\) −16.2798 13.3605i −0.864044 0.709102i
\(356\) 17.6373 + 1.36199i 0.934773 + 0.0721853i
\(357\) −2.50693 + 4.23660i −0.132681 + 0.224224i
\(358\) 19.7089 + 14.2972i 1.04165 + 0.755630i
\(359\) −18.1559 27.1722i −0.958230 1.43409i −0.900050 0.435786i \(-0.856471\pi\)
−0.0581791 0.998306i \(-0.518529\pi\)
\(360\) 9.71255 + 6.57635i 0.511896 + 0.346604i
\(361\) 9.44105 + 6.30831i 0.496897 + 0.332016i
\(362\) 9.30696 + 4.28227i 0.489163 + 0.225071i
\(363\) −6.84151 9.11672i −0.359086 0.478504i
\(364\) 4.73035 12.1385i 0.247938 0.636231i
\(365\) 3.05222 10.0618i 0.159761 0.526660i
\(366\) −15.5843 2.83833i −0.814605 0.148362i
\(367\) −9.30540 + 3.85442i −0.485738 + 0.201199i −0.612093 0.790786i \(-0.709672\pi\)
0.126355 + 0.991985i \(0.459672\pi\)
\(368\) 4.17085 11.4088i 0.217421 0.594725i
\(369\) 5.42244 10.4261i 0.282281 0.542760i
\(370\) −3.92841 15.0093i −0.204228 0.780295i
\(371\) 11.5535 6.17546i 0.599826 0.320614i
\(372\) −12.2868 8.61283i −0.637039 0.446555i
\(373\) 6.56346 5.38649i 0.339843 0.278902i −0.448955 0.893554i \(-0.648204\pi\)
0.788798 + 0.614652i \(0.210704\pi\)
\(374\) −0.243445 + 6.31443i −0.0125882 + 0.326511i
\(375\) 15.6211 + 11.4493i 0.806672 + 0.591241i
\(376\) −3.63815 20.1165i −0.187623 1.03743i
\(377\) 12.0578 + 2.39845i 0.621010 + 0.123527i
\(378\) −9.17789 3.50933i −0.472060 0.180500i
\(379\) −3.56632 1.90624i −0.183190 0.0979169i 0.377253 0.926110i \(-0.376869\pi\)
−0.560442 + 0.828194i \(0.689369\pi\)
\(380\) 0.909664 + 7.59008i 0.0466648 + 0.389363i
\(381\) 10.5104 + 9.41859i 0.538465 + 0.482529i
\(382\) 4.55229 + 9.36794i 0.232915 + 0.479305i
\(383\) 24.0305 1.22790 0.613951 0.789344i \(-0.289579\pi\)
0.613951 + 0.789344i \(0.289579\pi\)
\(384\) −12.7120 + 14.9132i −0.648708 + 0.761038i
\(385\) 3.88565 0.198031
\(386\) 6.64400 + 13.6724i 0.338171 + 0.695906i
\(387\) 22.1959 0.250562i 1.12828 0.0127368i
\(388\) 23.8068 2.85323i 1.20861 0.144851i
\(389\) 13.6059 + 7.27249i 0.689845 + 0.368730i 0.778771 0.627308i \(-0.215843\pi\)
−0.0889258 + 0.996038i \(0.528343\pi\)
\(390\) 4.53194 15.8601i 0.229484 0.803108i
\(391\) 6.33087 + 1.25929i 0.320166 + 0.0636849i
\(392\) 8.40256 12.1129i 0.424393 0.611792i
\(393\) 13.8846 18.9437i 0.700385 0.955585i
\(394\) 0.853729 22.1439i 0.0430103 1.11559i
\(395\) 9.74190 7.99497i 0.490168 0.402271i
\(396\) −12.5058 + 1.64220i −0.628439 + 0.0825237i
\(397\) −26.5905 + 14.2129i −1.33454 + 0.713325i −0.975500 0.219998i \(-0.929395\pi\)
−0.359038 + 0.933323i \(0.616895\pi\)
\(398\) 5.42214 + 20.7164i 0.271787 + 1.03842i
\(399\) −2.19136 6.01717i −0.109705 0.301235i
\(400\) −8.36092 + 9.09833i −0.418046 + 0.454916i
\(401\) −20.5440 + 8.50960i −1.02592 + 0.424949i −0.831237 0.555917i \(-0.812367\pi\)
−0.194681 + 0.980867i \(0.562367\pi\)
\(402\) 2.64271 14.5103i 0.131807 0.723706i
\(403\) −6.12526 + 20.1923i −0.305121 + 1.00585i
\(404\) 7.41707 + 2.89042i 0.369013 + 0.143804i
\(405\) −11.9838 3.34177i −0.595481 0.166054i
\(406\) −4.33540 1.99479i −0.215163 0.0989995i
\(407\) 13.8719 + 9.26892i 0.687605 + 0.459443i
\(408\) −8.86781 5.45823i −0.439022 0.270223i
\(409\) −10.0717 15.0734i −0.498014 0.745331i 0.494271 0.869308i \(-0.335435\pi\)
−0.992285 + 0.123977i \(0.960435\pi\)
\(410\) −6.19875 4.49670i −0.306134 0.222076i
\(411\) −22.8941 13.5472i −1.12928 0.668233i
\(412\) 1.02168 13.2303i 0.0503344 0.651812i
\(413\) 8.40071 + 6.89429i 0.413372 + 0.339246i
\(414\) −0.351005 + 12.8794i −0.0172509 + 0.632986i
\(415\) 9.58909 9.58909i 0.470710 0.470710i
\(416\) 25.4981 + 10.4520i 1.25015 + 0.512452i
\(417\) −30.1081 1.30882i −1.47440 0.0640931i
\(418\) −6.14872 5.45581i −0.300744 0.266852i
\(419\) −1.68843 1.38566i −0.0824850 0.0676937i 0.592247 0.805756i \(-0.298241\pi\)
−0.674732 + 0.738063i \(0.735741\pi\)
\(420\) −3.14372 + 5.57810i −0.153398 + 0.272183i
\(421\) 6.46834 + 21.3233i 0.315248 + 1.03923i 0.961200 + 0.275854i \(0.0889607\pi\)
−0.645952 + 0.763378i \(0.723539\pi\)
\(422\) −31.2690 + 4.97610i −1.52215 + 0.242233i
\(423\) 10.4364 + 19.0060i 0.507437 + 0.924103i
\(424\) 12.6349 + 24.6628i 0.613605 + 1.19773i
\(425\) −5.45951 3.64793i −0.264825 0.176951i
\(426\) −17.0565 + 33.1927i −0.826391 + 1.60819i
\(427\) 0.847573 8.60555i 0.0410169 0.416452i
\(428\) −5.62825 5.39555i −0.272052 0.260804i
\(429\) 7.67412 + 15.9914i 0.370510 + 0.772073i
\(430\) 1.97131 14.3297i 0.0950649 0.691042i
\(431\) −6.44811 + 2.67089i −0.310594 + 0.128652i −0.532536 0.846408i \(-0.678761\pi\)
0.221941 + 0.975060i \(0.428761\pi\)
\(432\) 7.76043 19.2815i 0.373374 0.927681i
\(433\) −22.0394 9.12902i −1.05915 0.438713i −0.215998 0.976394i \(-0.569300\pi\)
−0.843148 + 0.537681i \(0.819300\pi\)
\(434\) 4.13661 7.06964i 0.198563 0.339353i
\(435\) −5.70061 2.00349i −0.273323 0.0960600i
\(436\) −19.0418 + 13.3130i −0.911936 + 0.637579i
\(437\) −6.49088 + 5.32693i −0.310501 + 0.254821i
\(438\) −18.5691 1.52568i −0.887268 0.0728999i
\(439\) −39.6041 + 7.87774i −1.89020 + 0.375984i −0.997246 0.0741657i \(-0.976371\pi\)
−0.892953 + 0.450150i \(0.851371\pi\)
\(440\) −0.143248 + 8.21798i −0.00682908 + 0.391777i
\(441\) −4.36975 + 15.0132i −0.208083 + 0.714912i
\(442\) −3.40798 + 14.2414i −0.162101 + 0.677394i
\(443\) 22.9738 + 12.2798i 1.09152 + 0.583430i 0.916054 0.401055i \(-0.131357\pi\)
0.175467 + 0.984485i \(0.443857\pi\)
\(444\) −24.5293 + 12.4149i −1.16411 + 0.589186i
\(445\) 1.19842 + 12.1678i 0.0568105 + 0.576807i
\(446\) 25.0230 + 8.65661i 1.18487 + 0.409902i
\(447\) 15.1710 13.9070i 0.717564 0.657777i
\(448\) −8.68181 6.24937i −0.410177 0.295255i
\(449\) 21.6459 1.02153 0.510766 0.859720i \(-0.329362\pi\)
0.510766 + 0.859720i \(0.329362\pi\)
\(450\) 5.34350 11.9673i 0.251895 0.564146i
\(451\) 8.19522 0.807159i 0.385898 0.0380076i
\(452\) −22.8607 + 12.8468i −1.07528 + 0.604263i
\(453\) 1.50972 + 5.88601i 0.0709330 + 0.276549i
\(454\) 5.07888 21.2238i 0.238364 0.996083i
\(455\) 8.83130 + 1.75666i 0.414018 + 0.0823533i
\(456\) 12.8068 4.41282i 0.599736 0.206649i
\(457\) 6.86766 + 34.5261i 0.321256 + 1.61506i 0.717256 + 0.696810i \(0.245398\pi\)
−0.396000 + 0.918250i \(0.629602\pi\)
\(458\) −4.27510 + 3.95769i −0.199762 + 0.184931i
\(459\) 10.7576 + 2.50185i 0.502119 + 0.116776i
\(460\) 8.26724 + 1.46380i 0.385462 + 0.0682501i
\(461\) −10.1962 + 5.44996i −0.474882 + 0.253830i −0.691432 0.722442i \(-0.743020\pi\)
0.216550 + 0.976272i \(0.430520\pi\)
\(462\) −1.45246 6.73038i −0.0675744 0.313126i
\(463\) 6.90379 16.6672i 0.320846 0.774591i −0.678359 0.734731i \(-0.737309\pi\)
0.999205 0.0398606i \(-0.0126914\pi\)
\(464\) 4.37872 9.09566i 0.203277 0.422256i
\(465\) 4.38114 9.40005i 0.203171 0.435917i
\(466\) 5.25243 38.1808i 0.243314 1.76869i
\(467\) −5.95186 + 19.6207i −0.275419 + 0.907936i 0.704696 + 0.709509i \(0.251083\pi\)
−0.980116 + 0.198427i \(0.936417\pi\)
\(468\) −29.1656 1.92132i −1.34818 0.0888130i
\(469\) 8.01246 + 0.789159i 0.369981 + 0.0364400i
\(470\) 13.2525 4.90019i 0.611293 0.226029i
\(471\) 4.19732 + 27.2360i 0.193402 + 1.25497i
\(472\) −14.8908 + 17.5130i −0.685406 + 0.806101i
\(473\) 8.64153 + 12.9330i 0.397338 + 0.594659i
\(474\) −17.4897 13.8856i −0.803330 0.637785i
\(475\) 8.17374 2.47948i 0.375037 0.113766i
\(476\) 2.57317 5.06854i 0.117941 0.232316i
\(477\) −21.0164 20.5472i −0.962277 0.940794i
\(478\) 1.83286 + 1.62631i 0.0838331 + 0.0743858i
\(479\) 3.10660 3.10660i 0.141944 0.141944i −0.632564 0.774508i \(-0.717997\pi\)
0.774508 + 0.632564i \(0.217997\pi\)
\(480\) −11.6816 6.85448i −0.533187 0.312863i
\(481\) 27.3377 + 27.3377i 1.24649 + 1.24649i
\(482\) 0.716870 + 12.0057i 0.0326525 + 0.546844i
\(483\) −7.02273 + 0.384749i −0.319545 + 0.0175067i
\(484\) 8.56249 + 9.99558i 0.389204 + 0.454345i
\(485\) 4.81068 + 15.8587i 0.218442 + 0.720106i
\(486\) −1.30876 + 22.0065i −0.0593668 + 0.998236i
\(487\) 1.46282 0.977428i 0.0662869 0.0442915i −0.521985 0.852955i \(-0.674808\pi\)
0.588272 + 0.808663i \(0.299808\pi\)
\(488\) 18.1691 + 2.10983i 0.822479 + 0.0955077i
\(489\) −4.30730 27.9497i −0.194783 1.26393i
\(490\) 9.25635 + 4.25899i 0.418159 + 0.192401i
\(491\) −0.0564075 + 0.572715i −0.00254563 + 0.0258462i −0.996374 0.0850858i \(-0.972884\pi\)
0.993828 + 0.110932i \(0.0353836\pi\)
\(492\) −5.47170 + 12.4178i −0.246683 + 0.559838i
\(493\) 5.13323 + 1.55715i 0.231189 + 0.0701305i
\(494\) −11.5083 15.1797i −0.517784 0.682968i
\(495\) −2.62465 8.31333i −0.117969 0.373656i
\(496\) 14.7995 + 9.00938i 0.664517 + 0.404533i
\(497\) −18.8210 7.79591i −0.844237 0.349694i
\(498\) −20.1938 13.0250i −0.904906 0.583664i
\(499\) 9.66739 + 18.0864i 0.432772 + 0.809659i 0.999902 0.0139690i \(-0.00444661\pi\)
−0.567131 + 0.823628i \(0.691947\pi\)
\(500\) −18.8529 12.0295i −0.843129 0.537976i
\(501\) 2.44587 17.1553i 0.109273 0.766442i
\(502\) −0.874445 + 22.6812i −0.0390284 + 1.01231i
\(503\) −20.7527 + 4.12797i −0.925318 + 0.184057i −0.634679 0.772776i \(-0.718868\pi\)
−0.290639 + 0.956833i \(0.593868\pi\)
\(504\) 10.8370 + 3.36019i 0.482720 + 0.149675i
\(505\) −1.07338 + 5.39624i −0.0477648 + 0.240130i
\(506\) −7.69442 + 4.72293i −0.342059 + 0.209960i
\(507\) 4.61794 + 18.0041i 0.205090 + 0.799590i
\(508\) −12.8126 10.0702i −0.568469 0.446791i
\(509\) 2.76048 + 28.0276i 0.122356 + 1.24230i 0.838715 + 0.544571i \(0.183308\pi\)
−0.716358 + 0.697732i \(0.754192\pi\)
\(510\) 2.64617 6.69303i 0.117174 0.296372i
\(511\) 10.1708i 0.449929i
\(512\) 13.5372 18.1313i 0.598267 0.801297i
\(513\) −11.3935 + 8.75286i −0.503035 + 0.386448i
\(514\) 3.49082 + 7.18360i 0.153974 + 0.316855i
\(515\) 9.12747 0.898977i 0.402204 0.0396137i
\(516\) −25.5576 + 1.94194i −1.12511 + 0.0854889i
\(517\) −7.16232 + 13.3998i −0.314999 + 0.589321i
\(518\) −7.85084 12.7903i −0.344946 0.561973i
\(519\) −15.9593 + 9.68846i −0.700534 + 0.425276i
\(520\) −4.04083 + 18.6131i −0.177202 + 0.816238i
\(521\) −8.89307 44.7085i −0.389612 1.95871i −0.247716 0.968833i \(-0.579680\pi\)
−0.141897 0.989881i \(-0.545320\pi\)
\(522\) −1.33938 + 10.6230i −0.0586232 + 0.464957i
\(523\) 12.5689 + 15.3152i 0.549598 + 0.669687i 0.971523 0.236944i \(-0.0761457\pi\)
−0.421926 + 0.906630i \(0.638646\pi\)
\(524\) −14.5882 + 22.8630i −0.637287 + 0.998773i
\(525\) 6.74971 + 2.37220i 0.294581 + 0.103531i
\(526\) 6.30641 + 24.0949i 0.274972 + 1.05059i
\(527\) −3.52331 + 8.50602i −0.153478 + 0.370528i
\(528\) 14.2880 2.82376i 0.621807 0.122889i
\(529\) −5.27250 12.7289i −0.229239 0.553432i
\(530\) −15.2625 + 11.5711i −0.662961 + 0.502616i
\(531\) 9.07584 22.6302i 0.393858 0.982067i
\(532\) 2.97327 + 6.77034i 0.128908 + 0.293531i
\(533\) 18.9910 + 1.87045i 0.822592 + 0.0810183i
\(534\) 20.6280 6.62411i 0.892659 0.286653i
\(535\) 2.99389 4.48068i 0.129437 0.193717i
\(536\) −1.96443 + 16.9169i −0.0848503 + 0.730701i
\(537\) 28.9674 + 7.08245i 1.25004 + 0.305630i
\(538\) 6.12850 + 4.44574i 0.264218 + 0.191669i
\(539\) −10.4849 + 3.18057i −0.451618 + 0.136997i
\(540\) 14.0578 + 2.95812i 0.604952 + 0.127297i
\(541\) 1.05434 1.28472i 0.0453297 0.0552344i −0.749852 0.661606i \(-0.769875\pi\)
0.795182 + 0.606371i \(0.207375\pi\)
\(542\) 36.4714 2.17774i 1.56658 0.0935418i
\(543\) 12.5355 + 0.544927i 0.537950 + 0.0233851i
\(544\) 10.6249 + 5.62900i 0.455538 + 0.241341i
\(545\) −11.3552 11.3552i −0.486405 0.486405i
\(546\) −0.258417 15.9535i −0.0110592 0.682745i
\(547\) −6.24300 + 7.60712i −0.266932 + 0.325257i −0.889175 0.457566i \(-0.848721\pi\)
0.622244 + 0.782823i \(0.286221\pi\)
\(548\) 27.3898 + 13.9051i 1.17004 + 0.593998i
\(549\) −18.9841 + 3.99945i −0.810220 + 0.170692i
\(550\) 9.06971 1.44334i 0.386734 0.0615441i
\(551\) −5.80205 + 3.87680i −0.247176 + 0.165157i
\(552\) −0.554828 14.8670i −0.0236151 0.632781i
\(553\) 6.77267 10.1360i 0.288003 0.431027i
\(554\) −15.7110 42.4903i −0.667497 1.80524i
\(555\) −11.4053 15.1982i −0.484127 0.645128i
\(556\) 34.7909 0.734385i 1.47546 0.0311449i
\(557\) 24.6638 + 7.48169i 1.04504 + 0.317009i 0.765710 0.643186i \(-0.222388\pi\)
0.279329 + 0.960195i \(0.409888\pi\)
\(558\) −17.9196 4.07490i −0.758599 0.172504i
\(559\) 13.7936 + 33.3008i 0.583409 + 1.40847i
\(560\) 3.20702 6.66177i 0.135522 0.281511i
\(561\) 2.64838 + 7.27207i 0.111815 + 0.307027i
\(562\) −8.66594 + 14.8105i −0.365551 + 0.624742i
\(563\) −12.5966 23.5666i −0.530885 0.993216i −0.994254 0.107050i \(-0.965859\pi\)
0.463369 0.886166i \(-0.346641\pi\)
\(564\) −13.4415 21.1232i −0.565988 0.889447i
\(565\) −11.4981 14.0105i −0.483730 0.589427i
\(566\) 22.3438 + 24.1358i 0.939180 + 1.01450i
\(567\) −12.0312 + 0.271666i −0.505263 + 0.0114089i
\(568\) 17.1819 39.5182i 0.720936 1.65815i
\(569\) −2.47855 + 12.4605i −0.103906 + 0.522372i 0.893415 + 0.449231i \(0.148302\pi\)
−0.997322 + 0.0731405i \(0.976698\pi\)
\(570\) 4.54657 + 8.18437i 0.190435 + 0.342805i
\(571\) 1.03626 1.93870i 0.0433661 0.0811322i −0.859305 0.511464i \(-0.829103\pi\)
0.902671 + 0.430332i \(0.141603\pi\)
\(572\) −10.0339 17.8553i −0.419540 0.746566i
\(573\) 9.49997 + 8.51310i 0.396867 + 0.355640i
\(574\) −7.00052 2.42180i −0.292196 0.101084i
\(575\) 9.38117i 0.391222i
\(576\) −7.50618 + 22.7960i −0.312757 + 0.949833i
\(577\) 25.6323i 1.06709i −0.845773 0.533543i \(-0.820860\pi\)
0.845773 0.533543i \(-0.179140\pi\)
\(578\) 5.77117 16.6823i 0.240049 0.693890i
\(579\) 13.8651 + 12.4248i 0.576213 + 0.516355i
\(580\) 6.71801 + 1.88402i 0.278950 + 0.0782295i
\(581\) 6.18360 11.5687i 0.256539 0.479951i
\(582\) 25.6708 14.2606i 1.06409 0.591123i
\(583\) 4.01803 20.2000i 0.166410 0.836598i
\(584\) 21.5108 + 0.374955i 0.890123 + 0.0155158i
\(585\) −2.20696 20.0811i −0.0912466 0.830252i
\(586\) 3.14881 2.91503i 0.130076 0.120419i
\(587\) 22.2291 + 27.0863i 0.917495 + 1.11797i 0.992677 + 0.120801i \(0.0385462\pi\)
−0.0751820 + 0.997170i \(0.523954\pi\)
\(588\) 3.91702 17.6251i 0.161535 0.726846i
\(589\) −5.64581 10.5626i −0.232632 0.435223i
\(590\) −13.7135 8.02406i −0.564574 0.330345i
\(591\) −9.28752 25.5022i −0.382038 1.04902i
\(592\) 27.3404 16.1327i 1.12368 0.663049i
\(593\) 8.11535 + 19.5922i 0.333258 + 0.804555i 0.998330 + 0.0577757i \(0.0184008\pi\)
−0.665072 + 0.746779i \(0.731599\pi\)
\(594\) −13.4185 + 7.65373i −0.550569 + 0.314036i
\(595\) 3.75964 + 1.14047i 0.154130 + 0.0467549i
\(596\) −16.4457 + 17.1549i −0.673641 + 0.702693i
\(597\) 15.7420 + 20.9772i 0.644278 + 0.858538i
\(598\) −19.6231 + 7.25573i −0.802448 + 0.296709i
\(599\) 3.26167 4.88143i 0.133268 0.199450i −0.758833 0.651285i \(-0.774230\pi\)
0.892102 + 0.451835i \(0.149230\pi\)
\(600\) −5.26594 + 14.1879i −0.214981 + 0.579219i
\(601\) 21.1091 14.1047i 0.861060 0.575342i −0.0447632 0.998998i \(-0.514253\pi\)
0.905823 + 0.423656i \(0.139253\pi\)
\(602\) −2.19895 13.8179i −0.0896226 0.563175i
\(603\) −3.72381 17.6757i −0.151645 0.719810i
\(604\) −2.17805 6.66997i −0.0886238 0.271397i
\(605\) −5.77101 + 7.03200i −0.234625 + 0.285891i
\(606\) 9.74814 0.157902i 0.395991 0.00641434i
\(607\) 26.0200 + 26.0200i 1.05612 + 1.05612i 0.998329 + 0.0577914i \(0.0184058\pi\)
0.0577914 + 0.998329i \(0.481594\pi\)
\(608\) −14.4286 + 6.03876i −0.585157 + 0.244904i
\(609\) −5.83934 0.253840i −0.236622 0.0102861i
\(610\) 0.753543 + 12.6199i 0.0305101 + 0.510963i
\(611\) −22.3364 + 27.2170i −0.903635 + 1.10108i
\(612\) −12.5822 2.08162i −0.508606 0.0841444i
\(613\) −25.8215 + 7.83285i −1.04292 + 0.316366i −0.764859 0.644198i \(-0.777191\pi\)
−0.278060 + 0.960564i \(0.589691\pi\)
\(614\) 19.8887 27.4168i 0.802641 1.10645i
\(615\) −9.11072 2.22754i −0.367380 0.0898233i
\(616\) 2.17496 + 7.64721i 0.0876315 + 0.308115i
\(617\) −2.28827 + 3.42464i −0.0921224 + 0.137871i −0.874668 0.484722i \(-0.838921\pi\)
0.782546 + 0.622593i \(0.213921\pi\)
\(618\) −4.96898 15.4738i −0.199882 0.622447i
\(619\) −30.7768 3.03125i −1.23702 0.121836i −0.541724 0.840556i \(-0.682228\pi\)
−0.695299 + 0.718720i \(0.744728\pi\)
\(620\) −4.34823 + 11.1580i −0.174629 + 0.448114i
\(621\) 5.56685 + 14.7652i 0.223390 + 0.592508i
\(622\) 3.05086 + 4.02416i 0.122328 + 0.161354i
\(623\) 4.52594 + 10.9266i 0.181328 + 0.437764i
\(624\) 33.7505 + 0.0415973i 1.35110 + 0.00166522i
\(625\) 0.00440785 0.0106415i 0.000176314 0.000425660i
\(626\) −43.9478 + 11.5025i −1.75651 + 0.459734i
\(627\) −9.49819 3.33816i −0.379321 0.133313i
\(628\) −6.86517 31.0714i −0.273950 1.23988i
\(629\) 10.7015 + 13.0399i 0.426699 + 0.519934i
\(630\) −0.980979 + 7.78042i −0.0390832 + 0.309979i
\(631\) 3.13586 + 15.7650i 0.124837 + 0.627596i 0.991649 + 0.128963i \(0.0411647\pi\)
−0.866813 + 0.498634i \(0.833835\pi\)
\(632\) 21.1876 + 14.6976i 0.842796 + 0.584639i
\(633\) −33.1484 + 20.1235i −1.31753 + 0.799838i
\(634\) 30.6971 18.8422i 1.21914 0.748321i
\(635\) 5.30960 9.93357i 0.210705 0.394202i
\(636\) 25.7476 + 22.1111i 1.02096 + 0.876764i
\(637\) −25.2681 + 2.48869i −1.00116 + 0.0986054i
\(638\) −6.74822 + 3.27925i −0.267164 + 0.129827i
\(639\) −3.96623 + 45.5334i −0.156902 + 1.80127i
\(640\) 13.9711 + 7.02832i 0.552258 + 0.277819i
\(641\) 28.4842i 1.12506i −0.826777 0.562530i \(-0.809828\pi\)
0.826777 0.562530i \(-0.190172\pi\)
\(642\) −8.88017 3.51089i −0.350472 0.138564i
\(643\) −3.31396 33.6472i −0.130690 1.32691i −0.807111 0.590400i \(-0.798970\pi\)
0.676421 0.736515i \(-0.263530\pi\)
\(644\) 8.06361 0.966417i 0.317751 0.0380821i
\(645\) −4.40146 17.1601i −0.173307 0.675678i
\(646\) −4.34800 7.08359i −0.171070 0.278700i
\(647\) 3.68320 18.5167i 0.144801 0.727966i −0.838344 0.545141i \(-0.816476\pi\)
0.983146 0.182824i \(-0.0585240\pi\)
\(648\) −0.131021 25.4555i −0.00514700 0.999987i
\(649\) 16.7571 3.33320i 0.657774 0.130839i
\(650\) 21.2662 + 0.819891i 0.834128 + 0.0321588i
\(651\) 1.41594 9.93137i 0.0554950 0.389241i
\(652\) 7.04505 + 31.8855i 0.275906 + 1.24873i
\(653\) −0.841014 1.57343i −0.0329114 0.0615729i 0.864928 0.501896i \(-0.167364\pi\)
−0.897839 + 0.440323i \(0.854864\pi\)
\(654\) −15.4240 + 23.9132i −0.603126 + 0.935079i
\(655\) −17.3181 7.17339i −0.676674 0.280287i
\(656\) 5.38010 14.7165i 0.210058 0.574584i
\(657\) −21.7604 + 6.87010i −0.848952 + 0.268028i
\(658\) 10.8913 8.25708i 0.424586 0.321895i
\(659\) −45.4010 13.7723i −1.76857 0.536491i −0.773338 0.633994i \(-0.781415\pi\)
−0.995235 + 0.0975028i \(0.968915\pi\)
\(660\) 3.64358 + 9.38392i 0.141826 + 0.365269i
\(661\) 2.63864 26.7905i 0.102631 1.04203i −0.796585 0.604526i \(-0.793363\pi\)
0.899216 0.437504i \(-0.144137\pi\)
\(662\) −7.42780 + 16.1433i −0.288689 + 0.627429i
\(663\) 2.73163 + 17.7253i 0.106088 + 0.688393i
\(664\) 24.2394 + 13.5046i 0.940670 + 0.524078i
\(665\) −4.24949 + 2.83942i −0.164788 + 0.110108i
\(666\) −22.0617 + 25.4364i −0.854875 + 0.985639i
\(667\) 2.22474 + 7.33399i 0.0861424 + 0.283973i
\(668\) −1.54060 + 19.9501i −0.0596074 + 0.771894i
\(669\) 32.3803 1.77399i 1.25189 0.0685865i
\(670\) −11.7501 + 0.701610i −0.453946 + 0.0271055i
\(671\) −9.61291 9.61291i −0.371102 0.371102i
\(672\) −12.7377 3.06476i −0.491369 0.118226i
\(673\) 9.62489 9.62489i 0.371012 0.371012i −0.496834 0.867846i \(-0.665504\pi\)
0.867846 + 0.496834i \(0.165504\pi\)
\(674\) 18.5701 20.9286i 0.715295 0.806141i
\(675\) 0.516054 16.0433i 0.0198629 0.617509i
\(676\) −6.66222 20.4021i −0.256239 0.784695i
\(677\) −11.0941 + 3.36536i −0.426381 + 0.129341i −0.496180 0.868220i \(-0.665264\pi\)
0.0697986 + 0.997561i \(0.477764\pi\)
\(678\) −19.9698 + 25.1532i −0.766936 + 0.966004i
\(679\) 8.90603 + 13.3288i 0.341782 + 0.511513i
\(680\) −2.55066 + 7.90944i −0.0978133 + 0.303313i
\(681\) −4.07092 26.4158i −0.155998 1.01226i
\(682\) −4.46596 12.0782i −0.171011 0.462497i
\(683\) 12.6322 + 1.24416i 0.483356 + 0.0476064i 0.336761 0.941590i \(-0.390669\pi\)
0.146595 + 0.989197i \(0.453169\pi\)
\(684\) 12.4767 10.9345i 0.477060 0.418091i
\(685\) −6.16300 + 20.3167i −0.235476 + 0.776261i
\(686\) 22.8776 + 3.14721i 0.873469 + 0.120161i
\(687\) −3.01419 + 6.46717i −0.114999 + 0.246738i
\(688\) 29.3053 4.14129i 1.11725 0.157885i
\(689\) 18.2644 44.0941i 0.695817 1.67985i
\(690\) 10.0514 2.16914i 0.382649 0.0825779i
\(691\) 8.89485 4.75440i 0.338376 0.180866i −0.293453 0.955973i \(-0.594804\pi\)
0.631829 + 0.775108i \(0.282304\pi\)
\(692\) 17.6682 12.3527i 0.671643 0.469578i
\(693\) −4.76384 6.95826i −0.180963 0.264322i
\(694\) 12.2616 + 13.2450i 0.465444 + 0.502772i
\(695\) 4.69227 + 23.5896i 0.177988 + 0.894805i
\(696\) 0.752134 12.3406i 0.0285096 0.467770i
\(697\) 8.16637 + 1.62439i 0.309323 + 0.0615282i
\(698\) 39.5696 + 9.46906i 1.49773 + 0.358409i
\(699\) −11.7274 45.7220i −0.443572 1.72937i
\(700\) −7.95435 2.23074i −0.300646 0.0843139i
\(701\) −40.2337 + 3.96267i −1.51961 + 0.149668i −0.823106 0.567888i \(-0.807761\pi\)
−0.696500 + 0.717556i \(0.745261\pi\)
\(702\) −33.9578 + 11.3290i −1.28166 + 0.427587i
\(703\) −21.9441 −0.827636
\(704\) −16.2537 + 4.31802i −0.612585 + 0.162742i
\(705\) 12.7563 11.6935i 0.480431 0.440402i
\(706\) −12.2039 + 35.2768i −0.459299 + 1.32766i
\(707\) 0.521653 + 5.29644i 0.0196188 + 0.199193i
\(708\) −8.77249 + 26.7527i −0.329690 + 1.00543i
\(709\) −30.6694 16.3932i −1.15181 0.615658i −0.218897 0.975748i \(-0.570246\pi\)
−0.932918 + 0.360090i \(0.882746\pi\)
\(710\) 28.9659 + 6.93159i 1.08707 + 0.260138i
\(711\) −26.2607 7.64348i −0.984854 0.286653i
\(712\) −23.2761 + 9.16936i −0.872310 + 0.343636i
\(713\) −12.9013 + 2.56623i −0.483158 + 0.0961062i
\(714\) 0.570077 6.93843i 0.0213346 0.259664i
\(715\) 10.9429 8.98057i 0.409240 0.335854i
\(716\) −33.9066 6.00351i −1.26715 0.224362i
\(717\) 2.83130 + 0.995065i 0.105737 + 0.0371614i
\(718\) 39.8893 + 23.3402i 1.48866 + 0.871047i
\(719\) 9.21693 + 3.81778i 0.343734 + 0.142379i 0.547870 0.836563i \(-0.315439\pi\)
−0.204137 + 0.978942i \(0.565439\pi\)
\(720\) −16.4191 2.36156i −0.611904 0.0880103i
\(721\) 8.19642 3.39507i 0.305251 0.126439i
\(722\) −15.9081 2.18844i −0.592037 0.0814451i
\(723\) 6.37298 + 13.2801i 0.237014 + 0.493891i
\(724\) −14.4852 + 0.305762i −0.538338 + 0.0113635i
\(725\) 0.764145 7.75849i 0.0283796 0.288143i
\(726\) 14.3374 + 7.36749i 0.532112 + 0.273433i
\(727\) −12.5798 8.40555i −0.466558 0.311744i 0.299977 0.953946i \(-0.403021\pi\)
−0.766535 + 0.642202i \(0.778021\pi\)
\(728\) 1.48603 + 18.3639i 0.0550759 + 0.680610i
\(729\) 8.70799 + 25.5572i 0.322518 + 0.946563i
\(730\) 2.33696 + 14.6851i 0.0864946 + 0.543519i
\(731\) 4.56535 + 15.0499i 0.168856 + 0.556642i
\(732\) 21.5774 6.02253i 0.797523 0.222599i
\(733\) −12.7120 10.4325i −0.469529 0.385332i 0.369665 0.929165i \(-0.379472\pi\)
−0.839193 + 0.543833i \(0.816972\pi\)
\(734\) 9.45384 10.6545i 0.348948 0.393266i
\(735\) 12.4674 + 0.541964i 0.459865 + 0.0199906i
\(736\) 1.74666 + 17.0898i 0.0643827 + 0.629940i
\(737\) 8.95039 8.95039i 0.329692 0.329692i
\(738\) −0.452771 + 16.6135i −0.0166667 + 0.611550i
\(739\) −5.34530 4.38677i −0.196630 0.161370i 0.530926 0.847418i \(-0.321844\pi\)
−0.727556 + 0.686048i \(0.759344\pi\)
\(740\) 14.2743 + 16.6633i 0.524732 + 0.612556i
\(741\) −20.0784 11.8810i −0.737597 0.436459i
\(742\) −10.8787 + 14.9964i −0.399369 + 0.550535i
\(743\) 12.8192 + 19.1853i 0.470290 + 0.703839i 0.988467 0.151434i \(-0.0483892\pi\)
−0.518177 + 0.855273i \(0.673389\pi\)
\(744\) 20.9522 + 3.36078i 0.768146 + 0.123212i
\(745\) −13.6571 9.12540i −0.500358 0.334329i
\(746\) −5.01915 + 10.9085i −0.183764 + 0.399387i
\(747\) −28.9281 5.41543i −1.05842 0.198140i
\(748\) −3.59336 8.18231i −0.131386 0.299175i
\(749\) 1.51316 4.98821i 0.0552896 0.182265i
\(750\) −26.9468 4.90774i −0.983956 0.179205i
\(751\) −0.713148 + 0.295395i −0.0260231 + 0.0107791i −0.395657 0.918398i \(-0.629483\pi\)
0.369634 + 0.929177i \(0.379483\pi\)
\(752\) 17.0619 + 23.3390i 0.622183 + 0.851086i
\(753\) 9.51288 + 26.1210i 0.346669 + 0.951902i
\(754\) −16.8199 + 4.40230i −0.612544 + 0.160322i
\(755\) 4.27701 2.28611i 0.155656 0.0832000i
\(756\) 13.8433 1.20916i 0.503475 0.0439766i
\(757\) 10.6602 8.74861i 0.387452 0.317974i −0.420422 0.907329i \(-0.638118\pi\)
0.807874 + 0.589355i \(0.200618\pi\)
\(758\) 5.71456 + 0.220318i 0.207562 + 0.00800231i
\(759\) −6.53663 + 8.91840i −0.237265 + 0.323717i
\(760\) −5.84859 9.09217i −0.212151 0.329808i
\(761\) −7.28325 1.44873i −0.264018 0.0525164i 0.0613063 0.998119i \(-0.480473\pi\)
−0.325324 + 0.945603i \(0.605473\pi\)
\(762\) −19.1908 5.48367i −0.695210 0.198652i
\(763\) −13.6995 7.32252i −0.495954 0.265093i
\(764\) −11.5809 9.10203i −0.418981 0.329300i
\(765\) −0.0994991 8.81410i −0.00359740 0.318674i
\(766\) −30.5664 + 14.8535i −1.10441 + 0.536680i
\(767\) 39.5925 1.42960
\(768\) 6.95143 26.8268i 0.250838 0.968029i
\(769\) 37.3420 1.34659 0.673294 0.739375i \(-0.264879\pi\)
0.673294 + 0.739375i \(0.264879\pi\)
\(770\) −4.94247 + 2.40176i −0.178114 + 0.0865535i
\(771\) 7.28485 + 6.52809i 0.262357 + 0.235103i
\(772\) −16.9021 13.2843i −0.608320 0.478112i
\(773\) 36.2409 + 19.3712i 1.30350 + 0.696733i 0.969326 0.245780i \(-0.0790440\pi\) </