Properties

Label 273.2.bh.a.131.18
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.18
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.326193 + 0.188328i) q^{2} +(1.30806 + 1.13534i) q^{3} +(-0.929065 - 1.60919i) q^{4} +(-2.06368 + 3.57439i) q^{5} +(0.212864 + 0.616683i) q^{6} +(2.50486 + 0.851866i) q^{7} -1.45319i q^{8} +(0.422020 + 2.97017i) q^{9} +O(q^{10})\) \(q+(0.326193 + 0.188328i) q^{2} +(1.30806 + 1.13534i) q^{3} +(-0.929065 - 1.60919i) q^{4} +(-2.06368 + 3.57439i) q^{5} +(0.212864 + 0.616683i) q^{6} +(2.50486 + 0.851866i) q^{7} -1.45319i q^{8} +(0.422020 + 2.97017i) q^{9} +(-1.34632 + 0.777295i) q^{10} +(-0.580523 + 0.335165i) q^{11} +(0.611702 - 3.15971i) q^{12} +1.00000i q^{13} +(0.656639 + 0.749608i) q^{14} +(-6.75754 + 2.33254i) q^{15} +(-1.58445 + 2.74436i) q^{16} +(-0.299470 - 0.518697i) q^{17} +(-0.421705 + 1.04833i) q^{18} +(3.14918 + 1.81818i) q^{19} +7.66916 q^{20} +(2.30934 + 3.95815i) q^{21} -0.252484 q^{22} +(2.29950 + 1.32762i) q^{23} +(1.64986 - 1.90085i) q^{24} +(-6.01752 - 10.4226i) q^{25} +(-0.188328 + 0.326193i) q^{26} +(-2.82012 + 4.36428i) q^{27} +(-0.956366 - 4.82223i) q^{28} -10.5070i q^{29} +(-2.64355 - 0.511776i) q^{30} +(5.49237 - 3.17102i) q^{31} +(-3.55067 + 2.04998i) q^{32} +(-1.13988 - 0.220674i) q^{33} -0.225594i q^{34} +(-8.21412 + 7.19538i) q^{35} +(4.38748 - 3.43859i) q^{36} +(1.51009 - 2.61556i) q^{37} +(0.684827 + 1.18616i) q^{38} +(-1.13534 + 1.30806i) q^{39} +(5.19426 + 2.99891i) q^{40} +5.54647 q^{41} +(0.00786267 + 1.72604i) q^{42} -2.77503 q^{43} +(1.07869 + 0.622780i) q^{44} +(-11.4875 - 4.62100i) q^{45} +(0.500055 + 0.866121i) q^{46} +(2.81801 - 4.88093i) q^{47} +(-5.18832 + 1.79088i) q^{48} +(5.54865 + 4.26761i) q^{49} -4.53306i q^{50} +(0.197173 - 1.01848i) q^{51} +(1.60919 - 0.929065i) q^{52} +(-3.07789 + 1.77702i) q^{53} +(-1.74182 + 0.892493i) q^{54} -2.76669i q^{55} +(1.23792 - 3.64003i) q^{56} +(2.05505 + 5.95366i) q^{57} +(1.97876 - 3.42732i) q^{58} +(-2.22679 - 3.85691i) q^{59} +(10.0317 + 8.70708i) q^{60} +(-8.52262 - 4.92054i) q^{61} +2.38877 q^{62} +(-1.47308 + 7.79936i) q^{63} +4.79355 q^{64} +(-3.57439 - 2.06368i) q^{65} +(-0.330263 - 0.286654i) q^{66} +(2.10315 + 3.64276i) q^{67} +(-0.556455 + 0.963807i) q^{68} +(1.50058 + 4.34731i) q^{69} +(-4.03448 + 0.800137i) q^{70} +9.82614i q^{71} +(4.31621 - 0.613274i) q^{72} +(0.629525 - 0.363456i) q^{73} +(0.985165 - 0.568785i) q^{74} +(3.96197 - 20.4653i) q^{75} -6.75683i q^{76} +(-1.73964 + 0.345014i) q^{77} +(-0.616683 + 0.212864i) q^{78} +(7.67474 - 13.2930i) q^{79} +(-6.53960 - 11.3269i) q^{80} +(-8.64380 + 2.50694i) q^{81} +(1.80922 + 1.04456i) q^{82} -5.42091 q^{83} +(4.22388 - 7.39354i) q^{84} +2.47204 q^{85} +(-0.905198 - 0.522616i) q^{86} +(11.9290 - 13.7437i) q^{87} +(0.487057 + 0.843608i) q^{88} +(3.67079 - 6.35799i) q^{89} +(-2.87687 - 3.67075i) q^{90} +(-0.851866 + 2.50486i) q^{91} -4.93378i q^{92} +(10.7845 + 2.08782i) q^{93} +(1.83843 - 1.06142i) q^{94} +(-12.9978 + 7.50426i) q^{95} +(-6.97189 - 1.34972i) q^{96} +15.4274i q^{97} +(1.00622 + 2.43703i) q^{98} +(-1.24049 - 1.58280i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.326193 + 0.188328i 0.230654 + 0.133168i 0.610874 0.791728i \(-0.290818\pi\)
−0.380220 + 0.924896i \(0.624152\pi\)
\(3\) 1.30806 + 1.13534i 0.755206 + 0.655487i
\(4\) −0.929065 1.60919i −0.464533 0.804594i
\(5\) −2.06368 + 3.57439i −0.922904 + 1.59852i −0.128006 + 0.991773i \(0.540858\pi\)
−0.794898 + 0.606743i \(0.792476\pi\)
\(6\) 0.212864 + 0.616683i 0.0869012 + 0.251760i
\(7\) 2.50486 + 0.851866i 0.946748 + 0.321975i
\(8\) 1.45319i 0.513779i
\(9\) 0.422020 + 2.97017i 0.140673 + 0.990056i
\(10\) −1.34632 + 0.777295i −0.425742 + 0.245802i
\(11\) −0.580523 + 0.335165i −0.175034 + 0.101056i −0.584957 0.811064i \(-0.698889\pi\)
0.409923 + 0.912120i \(0.365555\pi\)
\(12\) 0.611702 3.15971i 0.176583 0.912130i
\(13\) 1.00000i 0.277350i
\(14\) 0.656639 + 0.749608i 0.175494 + 0.200341i
\(15\) −6.75754 + 2.33254i −1.74479 + 0.602258i
\(16\) −1.58445 + 2.74436i −0.396114 + 0.686089i
\(17\) −0.299470 0.518697i −0.0726322 0.125803i 0.827422 0.561581i \(-0.189807\pi\)
−0.900054 + 0.435778i \(0.856473\pi\)
\(18\) −0.421705 + 1.04833i −0.0993969 + 0.247093i
\(19\) 3.14918 + 1.81818i 0.722471 + 0.417119i 0.815661 0.578530i \(-0.196373\pi\)
−0.0931906 + 0.995648i \(0.529707\pi\)
\(20\) 7.66916 1.71488
\(21\) 2.30934 + 3.95815i 0.503940 + 0.863739i
\(22\) −0.252484 −0.0538297
\(23\) 2.29950 + 1.32762i 0.479480 + 0.276828i 0.720200 0.693767i \(-0.244050\pi\)
−0.240720 + 0.970595i \(0.577384\pi\)
\(24\) 1.64986 1.90085i 0.336776 0.388009i
\(25\) −6.01752 10.4226i −1.20350 2.08453i
\(26\) −0.188328 + 0.326193i −0.0369341 + 0.0639718i
\(27\) −2.82012 + 4.36428i −0.542732 + 0.839906i
\(28\) −0.956366 4.82223i −0.180736 0.911316i
\(29\) 10.5070i 1.95110i −0.219774 0.975551i \(-0.570532\pi\)
0.219774 0.975551i \(-0.429468\pi\)
\(30\) −2.64355 0.511776i −0.482644 0.0934370i
\(31\) 5.49237 3.17102i 0.986460 0.569533i 0.0822455 0.996612i \(-0.473791\pi\)
0.904214 + 0.427079i \(0.140458\pi\)
\(32\) −3.55067 + 2.04998i −0.627676 + 0.362389i
\(33\) −1.13988 0.220674i −0.198428 0.0384145i
\(34\) 0.225594i 0.0386891i
\(35\) −8.21412 + 7.19538i −1.38844 + 1.21624i
\(36\) 4.38748 3.43859i 0.731246 0.573098i
\(37\) 1.51009 2.61556i 0.248258 0.429995i −0.714785 0.699345i \(-0.753475\pi\)
0.963043 + 0.269349i \(0.0868086\pi\)
\(38\) 0.684827 + 1.18616i 0.111094 + 0.192420i
\(39\) −1.13534 + 1.30806i −0.181799 + 0.209457i
\(40\) 5.19426 + 2.99891i 0.821285 + 0.474169i
\(41\) 5.54647 0.866214 0.433107 0.901343i \(-0.357417\pi\)
0.433107 + 0.901343i \(0.357417\pi\)
\(42\) 0.00786267 + 1.72604i 0.00121324 + 0.266333i
\(43\) −2.77503 −0.423189 −0.211594 0.977358i \(-0.567866\pi\)
−0.211594 + 0.977358i \(0.567866\pi\)
\(44\) 1.07869 + 0.622780i 0.162618 + 0.0938877i
\(45\) −11.4875 4.62100i −1.71245 0.688858i
\(46\) 0.500055 + 0.866121i 0.0737291 + 0.127703i
\(47\) 2.81801 4.88093i 0.411049 0.711957i −0.583956 0.811785i \(-0.698496\pi\)
0.995005 + 0.0998279i \(0.0318292\pi\)
\(48\) −5.18832 + 1.79088i −0.748870 + 0.258491i
\(49\) 5.54865 + 4.26761i 0.792664 + 0.609658i
\(50\) 4.53306i 0.641072i
\(51\) 0.197173 1.01848i 0.0276097 0.142616i
\(52\) 1.60919 0.929065i 0.223154 0.128838i
\(53\) −3.07789 + 1.77702i −0.422781 + 0.244093i −0.696266 0.717783i \(-0.745157\pi\)
0.273485 + 0.961876i \(0.411823\pi\)
\(54\) −1.74182 + 0.892493i −0.237032 + 0.121453i
\(55\) 2.76669i 0.373060i
\(56\) 1.23792 3.64003i 0.165424 0.486419i
\(57\) 2.05505 + 5.95366i 0.272199 + 0.788581i
\(58\) 1.97876 3.42732i 0.259824 0.450029i
\(59\) −2.22679 3.85691i −0.289903 0.502126i 0.683884 0.729591i \(-0.260290\pi\)
−0.973786 + 0.227465i \(0.926956\pi\)
\(60\) 10.0317 + 8.70708i 1.29509 + 1.12408i
\(61\) −8.52262 4.92054i −1.09121 0.630011i −0.157312 0.987549i \(-0.550283\pi\)
−0.933898 + 0.357538i \(0.883616\pi\)
\(62\) 2.38877 0.303374
\(63\) −1.47308 + 7.79936i −0.185591 + 0.982627i
\(64\) 4.79355 0.599193
\(65\) −3.57439 2.06368i −0.443349 0.255968i
\(66\) −0.330263 0.286654i −0.0406525 0.0352847i
\(67\) 2.10315 + 3.64276i 0.256941 + 0.445035i 0.965421 0.260696i \(-0.0839521\pi\)
−0.708480 + 0.705731i \(0.750619\pi\)
\(68\) −0.556455 + 0.963807i −0.0674800 + 0.116879i
\(69\) 1.50058 + 4.34731i 0.180649 + 0.523355i
\(70\) −4.03448 + 0.800137i −0.482213 + 0.0956346i
\(71\) 9.82614i 1.16615i 0.812419 + 0.583074i \(0.198150\pi\)
−0.812419 + 0.583074i \(0.801850\pi\)
\(72\) 4.31621 0.613274i 0.508670 0.0722750i
\(73\) 0.629525 0.363456i 0.0736803 0.0425393i −0.462707 0.886511i \(-0.653122\pi\)
0.536388 + 0.843972i \(0.319789\pi\)
\(74\) 0.985165 0.568785i 0.114523 0.0661200i
\(75\) 3.96197 20.4653i 0.457489 2.36313i
\(76\) 6.75683i 0.775061i
\(77\) −1.73964 + 0.345014i −0.198251 + 0.0393180i
\(78\) −0.616683 + 0.212864i −0.0698256 + 0.0241021i
\(79\) 7.67474 13.2930i 0.863476 1.49558i −0.00507650 0.999987i \(-0.501616\pi\)
0.868552 0.495597i \(-0.165051\pi\)
\(80\) −6.53960 11.3269i −0.731150 1.26639i
\(81\) −8.64380 + 2.50694i −0.960422 + 0.278549i
\(82\) 1.80922 + 1.04456i 0.199795 + 0.115352i
\(83\) −5.42091 −0.595022 −0.297511 0.954718i \(-0.596157\pi\)
−0.297511 + 0.954718i \(0.596157\pi\)
\(84\) 4.22388 7.39354i 0.460863 0.806702i
\(85\) 2.47204 0.268130
\(86\) −0.905198 0.522616i −0.0976100 0.0563551i
\(87\) 11.9290 13.7437i 1.27892 1.47348i
\(88\) 0.487057 + 0.843608i 0.0519205 + 0.0899289i
\(89\) 3.67079 6.35799i 0.389103 0.673946i −0.603226 0.797570i \(-0.706118\pi\)
0.992329 + 0.123624i \(0.0394518\pi\)
\(90\) −2.87687 3.67075i −0.303249 0.386931i
\(91\) −0.851866 + 2.50486i −0.0892998 + 0.262581i
\(92\) 4.93378i 0.514382i
\(93\) 10.7845 + 2.08782i 1.11830 + 0.216497i
\(94\) 1.83843 1.06142i 0.189620 0.109477i
\(95\) −12.9978 + 7.50426i −1.33354 + 0.769921i
\(96\) −6.97189 1.34972i −0.711566 0.137755i
\(97\) 15.4274i 1.56642i 0.621760 + 0.783208i \(0.286418\pi\)
−0.621760 + 0.783208i \(0.713582\pi\)
\(98\) 1.00622 + 2.43703i 0.101644 + 0.246177i
\(99\) −1.24049 1.58280i −0.124674 0.159078i
\(100\) −11.1813 + 19.3666i −1.11813 + 1.93666i
\(101\) 1.61957 + 2.80517i 0.161153 + 0.279125i 0.935282 0.353902i \(-0.115145\pi\)
−0.774130 + 0.633027i \(0.781812\pi\)
\(102\) 0.256125 0.295090i 0.0253602 0.0292183i
\(103\) 3.59454 + 2.07531i 0.354180 + 0.204486i 0.666525 0.745483i \(-0.267781\pi\)
−0.312345 + 0.949969i \(0.601114\pi\)
\(104\) 1.45319 0.142497
\(105\) −18.9137 + 0.0861583i −1.84579 + 0.00840819i
\(106\) −1.33865 −0.130021
\(107\) −2.88667 1.66662i −0.279065 0.161118i 0.353935 0.935270i \(-0.384843\pi\)
−0.633000 + 0.774152i \(0.718177\pi\)
\(108\) 9.64302 + 0.483397i 0.927900 + 0.0465149i
\(109\) −4.13336 7.15919i −0.395904 0.685726i 0.597312 0.802009i \(-0.296235\pi\)
−0.993216 + 0.116283i \(0.962902\pi\)
\(110\) 0.521044 0.902475i 0.0496796 0.0860477i
\(111\) 4.94483 1.70683i 0.469342 0.162005i
\(112\) −6.30666 + 5.52449i −0.595923 + 0.522015i
\(113\) 8.93818i 0.840833i 0.907331 + 0.420417i \(0.138116\pi\)
−0.907331 + 0.420417i \(0.861884\pi\)
\(114\) −0.450894 + 2.32907i −0.0422301 + 0.218137i
\(115\) −9.49086 + 5.47955i −0.885027 + 0.510971i
\(116\) −16.9077 + 9.76169i −1.56984 + 0.906350i
\(117\) −2.97017 + 0.422020i −0.274592 + 0.0390158i
\(118\) 1.67746i 0.154423i
\(119\) −0.308270 1.55437i −0.0282591 0.142489i
\(120\) 3.38961 + 9.81997i 0.309428 + 0.896437i
\(121\) −5.27533 + 9.13714i −0.479575 + 0.830649i
\(122\) −1.85335 3.21010i −0.167794 0.290628i
\(123\) 7.25510 + 6.29712i 0.654170 + 0.567792i
\(124\) −10.2055 5.89218i −0.916485 0.529133i
\(125\) 29.0361 2.59706
\(126\) −1.94935 + 2.26668i −0.173662 + 0.201932i
\(127\) 7.61621 0.675829 0.337915 0.941177i \(-0.390278\pi\)
0.337915 + 0.941177i \(0.390278\pi\)
\(128\) 8.66497 + 5.00272i 0.765882 + 0.442182i
\(129\) −3.62990 3.15060i −0.319595 0.277395i
\(130\) −0.777295 1.34632i −0.0681733 0.118080i
\(131\) −7.07877 + 12.2608i −0.618475 + 1.07123i 0.371289 + 0.928517i \(0.378916\pi\)
−0.989764 + 0.142712i \(0.954418\pi\)
\(132\) 0.703917 + 2.03930i 0.0612681 + 0.177499i
\(133\) 6.33941 + 7.23696i 0.549696 + 0.627524i
\(134\) 1.58433i 0.136865i
\(135\) −9.77984 19.0867i −0.841715 1.64272i
\(136\) −0.753764 + 0.435186i −0.0646348 + 0.0373169i
\(137\) 12.4012 7.15984i 1.05951 0.611706i 0.134210 0.990953i \(-0.457150\pi\)
0.925296 + 0.379247i \(0.123817\pi\)
\(138\) −0.329239 + 1.70067i −0.0280267 + 0.144770i
\(139\) 10.3190i 0.875244i −0.899159 0.437622i \(-0.855821\pi\)
0.899159 0.437622i \(-0.144179\pi\)
\(140\) 19.2102 + 6.53309i 1.62356 + 0.552147i
\(141\) 9.22762 3.18514i 0.777106 0.268238i
\(142\) −1.85054 + 3.20522i −0.155294 + 0.268976i
\(143\) −0.335165 0.580523i −0.0280279 0.0485458i
\(144\) −8.81987 3.54792i −0.734989 0.295660i
\(145\) 37.5561 + 21.6830i 3.11887 + 1.80068i
\(146\) 0.273796 0.0226595
\(147\) 2.41277 + 11.8819i 0.199002 + 0.979999i
\(148\) −5.61190 −0.461295
\(149\) 9.97877 + 5.76125i 0.817493 + 0.471980i 0.849551 0.527506i \(-0.176873\pi\)
−0.0320582 + 0.999486i \(0.510206\pi\)
\(150\) 5.14656 5.92950i 0.420215 0.484142i
\(151\) −8.09664 14.0238i −0.658895 1.14124i −0.980902 0.194503i \(-0.937691\pi\)
0.322007 0.946737i \(-0.395643\pi\)
\(152\) 2.64215 4.57634i 0.214307 0.371190i
\(153\) 1.41424 1.10838i 0.114334 0.0896070i
\(154\) −0.632436 0.215082i −0.0509632 0.0173318i
\(155\) 26.1759i 2.10250i
\(156\) 3.15971 + 0.611702i 0.252979 + 0.0489753i
\(157\) −16.5538 + 9.55735i −1.32114 + 0.762760i −0.983910 0.178663i \(-0.942823\pi\)
−0.337228 + 0.941423i \(0.609489\pi\)
\(158\) 5.00690 2.89074i 0.398328 0.229975i
\(159\) −6.04357 1.17000i −0.479287 0.0927871i
\(160\) 16.9220i 1.33780i
\(161\) 4.62898 + 5.28437i 0.364815 + 0.416466i
\(162\) −3.29168 0.810121i −0.258619 0.0636491i
\(163\) −10.2890 + 17.8210i −0.805894 + 1.39585i 0.109792 + 0.993955i \(0.464981\pi\)
−0.915686 + 0.401894i \(0.868352\pi\)
\(164\) −5.15304 8.92532i −0.402385 0.696951i
\(165\) 3.14112 3.61898i 0.244536 0.281737i
\(166\) −1.76827 1.02091i −0.137244 0.0792379i
\(167\) −13.2663 −1.02658 −0.513290 0.858215i \(-0.671573\pi\)
−0.513290 + 0.858215i \(0.671573\pi\)
\(168\) 5.75193 3.35591i 0.443771 0.258914i
\(169\) −1.00000 −0.0769231
\(170\) 0.806362 + 0.465553i 0.0618452 + 0.0357063i
\(171\) −4.07128 + 10.1209i −0.311339 + 0.773964i
\(172\) 2.57819 + 4.46555i 0.196585 + 0.340495i
\(173\) 5.25361 9.09952i 0.399424 0.691824i −0.594230 0.804295i \(-0.702543\pi\)
0.993655 + 0.112471i \(0.0358766\pi\)
\(174\) 6.47949 2.23656i 0.491209 0.169553i
\(175\) −6.19435 31.2334i −0.468249 2.36102i
\(176\) 2.12422i 0.160119i
\(177\) 1.46613 7.57320i 0.110201 0.569237i
\(178\) 2.39477 1.38262i 0.179496 0.103632i
\(179\) 7.96336 4.59765i 0.595209 0.343644i −0.171945 0.985106i \(-0.555005\pi\)
0.767155 + 0.641462i \(0.221672\pi\)
\(180\) 3.23654 + 22.7787i 0.241237 + 1.69782i
\(181\) 14.6613i 1.08977i 0.838512 + 0.544883i \(0.183426\pi\)
−0.838512 + 0.544883i \(0.816574\pi\)
\(182\) −0.749608 + 0.656639i −0.0555646 + 0.0486733i
\(183\) −5.56160 16.1124i −0.411125 1.19106i
\(184\) 1.92928 3.34161i 0.142228 0.246347i
\(185\) 6.23269 + 10.7953i 0.458236 + 0.793689i
\(186\) 3.12464 + 2.71206i 0.229110 + 0.198858i
\(187\) 0.347698 + 0.200744i 0.0254262 + 0.0146798i
\(188\) −10.4725 −0.763782
\(189\) −10.7818 + 8.52955i −0.784259 + 0.620434i
\(190\) −5.65305 −0.410115
\(191\) −13.1078 7.56781i −0.948449 0.547587i −0.0558501 0.998439i \(-0.517787\pi\)
−0.892599 + 0.450852i \(0.851120\pi\)
\(192\) 6.27022 + 5.44229i 0.452515 + 0.392763i
\(193\) −1.20773 2.09186i −0.0869346 0.150575i 0.819279 0.573395i \(-0.194374\pi\)
−0.906214 + 0.422819i \(0.861040\pi\)
\(194\) −2.90541 + 5.03232i −0.208596 + 0.361299i
\(195\) −2.33254 6.75754i −0.167036 0.483918i
\(196\) 1.71233 12.8937i 0.122309 0.920979i
\(197\) 13.9719i 0.995457i −0.867333 0.497729i \(-0.834168\pi\)
0.867333 0.497729i \(-0.165832\pi\)
\(198\) −0.106553 0.749919i −0.00757240 0.0532944i
\(199\) −1.69123 + 0.976431i −0.119888 + 0.0692174i −0.558745 0.829340i \(-0.688717\pi\)
0.438857 + 0.898557i \(0.355384\pi\)
\(200\) −15.1461 + 8.74458i −1.07099 + 0.618335i
\(201\) −1.38473 + 7.15273i −0.0976711 + 0.504514i
\(202\) 1.22004i 0.0858415i
\(203\) 8.95056 26.3186i 0.628206 1.84720i
\(204\) −1.82212 + 0.628951i −0.127574 + 0.0440353i
\(205\) −11.4461 + 19.8253i −0.799432 + 1.38466i
\(206\) 0.781676 + 1.35390i 0.0544620 + 0.0943309i
\(207\) −2.97281 + 7.39019i −0.206625 + 0.513654i
\(208\) −2.74436 1.58445i −0.190287 0.109862i
\(209\) −2.43756 −0.168609
\(210\) −6.18575 3.53387i −0.426857 0.243860i
\(211\) −16.1760 −1.11360 −0.556800 0.830646i \(-0.687971\pi\)
−0.556800 + 0.830646i \(0.687971\pi\)
\(212\) 5.71913 + 3.30194i 0.392791 + 0.226778i
\(213\) −11.1560 + 12.8531i −0.764395 + 0.880683i
\(214\) −0.627742 1.08728i −0.0429116 0.0743250i
\(215\) 5.72677 9.91906i 0.390562 0.676474i
\(216\) 6.34212 + 4.09816i 0.431526 + 0.278844i
\(217\) 16.4589 3.26421i 1.11730 0.221589i
\(218\) 3.11371i 0.210887i
\(219\) 1.23610 + 0.239302i 0.0835278 + 0.0161705i
\(220\) −4.45212 + 2.57043i −0.300162 + 0.173299i
\(221\) 0.518697 0.299470i 0.0348914 0.0201445i
\(222\) 1.93441 + 0.374491i 0.129829 + 0.0251342i
\(223\) 1.01169i 0.0677477i −0.999426 0.0338739i \(-0.989216\pi\)
0.999426 0.0338739i \(-0.0107844\pi\)
\(224\) −10.6402 + 2.11022i −0.710931 + 0.140995i
\(225\) 28.4175 22.2716i 1.89450 1.48477i
\(226\) −1.68331 + 2.91558i −0.111972 + 0.193941i
\(227\) −2.38431 4.12975i −0.158252 0.274101i 0.775986 0.630750i \(-0.217253\pi\)
−0.934239 + 0.356649i \(0.883919\pi\)
\(228\) 7.67127 8.83830i 0.508043 0.585331i
\(229\) 13.6165 + 7.86147i 0.899801 + 0.519500i 0.877136 0.480243i \(-0.159451\pi\)
0.0226655 + 0.999743i \(0.492785\pi\)
\(230\) −4.12781 −0.272180
\(231\) −2.66726 1.52378i −0.175493 0.100258i
\(232\) −15.2686 −1.00244
\(233\) −24.7417 14.2846i −1.62088 0.935818i −0.986684 0.162648i \(-0.947997\pi\)
−0.634199 0.773170i \(-0.718670\pi\)
\(234\) −1.04833 0.421705i −0.0685313 0.0275677i
\(235\) 11.6309 + 20.1453i 0.758717 + 1.31414i
\(236\) −4.13766 + 7.16663i −0.269339 + 0.466508i
\(237\) 25.1311 8.67462i 1.63244 0.563477i
\(238\) 0.192176 0.565082i 0.0124569 0.0366288i
\(239\) 14.5590i 0.941746i −0.882201 0.470873i \(-0.843939\pi\)
0.882201 0.470873i \(-0.156061\pi\)
\(240\) 4.30571 22.2409i 0.277932 1.43564i
\(241\) 6.70820 3.87298i 0.432113 0.249481i −0.268133 0.963382i \(-0.586407\pi\)
0.700247 + 0.713901i \(0.253073\pi\)
\(242\) −3.44156 + 1.98698i −0.221232 + 0.127728i
\(243\) −14.1528 6.53441i −0.907902 0.419182i
\(244\) 18.2860i 1.17064i
\(245\) −26.7047 + 11.0261i −1.70610 + 0.704431i
\(246\) 1.18064 + 3.42042i 0.0752750 + 0.218078i
\(247\) −1.81818 + 3.14918i −0.115688 + 0.200377i
\(248\) −4.60809 7.98145i −0.292614 0.506822i
\(249\) −7.09086 6.15456i −0.449365 0.390030i
\(250\) 9.47137 + 5.46830i 0.599022 + 0.345846i
\(251\) −6.72085 −0.424216 −0.212108 0.977246i \(-0.568033\pi\)
−0.212108 + 0.977246i \(0.568033\pi\)
\(252\) 13.9192 4.87565i 0.876829 0.307137i
\(253\) −1.77989 −0.111900
\(254\) 2.48436 + 1.43434i 0.155882 + 0.0899988i
\(255\) 3.23356 + 2.80660i 0.202494 + 0.175756i
\(256\) −2.90924 5.03896i −0.181828 0.314935i
\(257\) 7.92158 13.7206i 0.494135 0.855867i −0.505842 0.862626i \(-0.668818\pi\)
0.999977 + 0.00675933i \(0.00215158\pi\)
\(258\) −0.590704 1.71132i −0.0367756 0.106542i
\(259\) 6.01068 5.26521i 0.373485 0.327164i
\(260\) 7.66916i 0.475621i
\(261\) 31.2076 4.43416i 1.93170 0.274468i
\(262\) −4.61809 + 2.66626i −0.285307 + 0.164722i
\(263\) 5.85189 3.37859i 0.360843 0.208333i −0.308607 0.951190i \(-0.599863\pi\)
0.669451 + 0.742857i \(0.266530\pi\)
\(264\) −0.320681 + 1.65646i −0.0197366 + 0.101948i
\(265\) 14.6688i 0.901097i
\(266\) 0.704951 + 3.55454i 0.0432233 + 0.217943i
\(267\) 12.0201 4.14903i 0.735615 0.253916i
\(268\) 3.90793 6.76873i 0.238715 0.413466i
\(269\) −1.74611 3.02435i −0.106462 0.184398i 0.807872 0.589357i \(-0.200619\pi\)
−0.914335 + 0.404959i \(0.867286\pi\)
\(270\) 0.404430 8.06776i 0.0246128 0.490988i
\(271\) −8.03997 4.64188i −0.488393 0.281974i 0.235514 0.971871i \(-0.424323\pi\)
−0.723908 + 0.689897i \(0.757656\pi\)
\(272\) 1.89799 0.115082
\(273\) −3.95815 + 2.30934i −0.239558 + 0.139768i
\(274\) 5.39359 0.325838
\(275\) 6.98661 + 4.03372i 0.421309 + 0.243243i
\(276\) 5.60150 6.45366i 0.337171 0.388464i
\(277\) −8.96306 15.5245i −0.538538 0.932775i −0.998983 0.0450872i \(-0.985643\pi\)
0.460445 0.887688i \(-0.347690\pi\)
\(278\) 1.94335 3.36598i 0.116554 0.201878i
\(279\) 11.7364 + 14.9750i 0.702638 + 0.896532i
\(280\) 10.4562 + 11.9367i 0.624879 + 0.713352i
\(281\) 19.7386i 1.17751i 0.808313 + 0.588753i \(0.200381\pi\)
−0.808313 + 0.588753i \(0.799619\pi\)
\(282\) 3.60984 + 0.698844i 0.214963 + 0.0416156i
\(283\) 21.1104 12.1881i 1.25488 0.724506i 0.282806 0.959177i \(-0.408735\pi\)
0.972075 + 0.234671i \(0.0754014\pi\)
\(284\) 15.8121 9.12913i 0.938276 0.541714i
\(285\) −25.5217 4.94085i −1.51177 0.292671i
\(286\) 0.252484i 0.0149297i
\(287\) 13.8931 + 4.72485i 0.820086 + 0.278899i
\(288\) −7.58724 9.68096i −0.447083 0.570456i
\(289\) 8.32064 14.4118i 0.489449 0.847751i
\(290\) 8.16704 + 14.1457i 0.479585 + 0.830666i
\(291\) −17.5153 + 20.1799i −1.02677 + 1.18297i
\(292\) −1.16974 0.675349i −0.0684538 0.0395218i
\(293\) −6.46901 −0.377923 −0.188962 0.981984i \(-0.560512\pi\)
−0.188962 + 0.981984i \(0.560512\pi\)
\(294\) −1.45066 + 4.33018i −0.0846039 + 0.252541i
\(295\) 18.3815 1.07021
\(296\) −3.80090 2.19445i −0.220923 0.127550i
\(297\) 0.174388 3.47877i 0.0101190 0.201859i
\(298\) 2.17001 + 3.75856i 0.125705 + 0.217728i
\(299\) −1.32762 + 2.29950i −0.0767782 + 0.132984i
\(300\) −36.6135 + 12.6381i −2.11388 + 0.729659i
\(301\) −6.95107 2.36396i −0.400653 0.136256i
\(302\) 6.09929i 0.350975i
\(303\) −1.06633 + 5.50807i −0.0612591 + 0.316431i
\(304\) −9.97946 + 5.76164i −0.572361 + 0.330453i
\(305\) 35.1759 20.3088i 2.01416 1.16288i
\(306\) 0.670053 0.0952053i 0.0383044 0.00544252i
\(307\) 15.0804i 0.860685i 0.902666 + 0.430342i \(0.141607\pi\)
−0.902666 + 0.430342i \(0.858393\pi\)
\(308\) 2.17144 + 2.47887i 0.123729 + 0.141247i
\(309\) 2.34568 + 6.79563i 0.133441 + 0.386590i
\(310\) −4.92964 + 8.53840i −0.279985 + 0.484948i
\(311\) −11.7458 20.3442i −0.666040 1.15362i −0.979002 0.203850i \(-0.934654\pi\)
0.312962 0.949766i \(-0.398679\pi\)
\(312\) 1.90085 + 1.64986i 0.107614 + 0.0934048i
\(313\) 18.5033 + 10.6829i 1.04587 + 0.603833i 0.921490 0.388401i \(-0.126973\pi\)
0.124380 + 0.992235i \(0.460306\pi\)
\(314\) −7.19966 −0.406300
\(315\) −24.8380 21.3607i −1.39946 1.20354i
\(316\) −28.5213 −1.60445
\(317\) −15.9985 9.23676i −0.898568 0.518788i −0.0218326 0.999762i \(-0.506950\pi\)
−0.876735 + 0.480973i \(0.840283\pi\)
\(318\) −1.75103 1.51982i −0.0981929 0.0852273i
\(319\) 3.52158 + 6.09955i 0.197171 + 0.341509i
\(320\) −9.89232 + 17.1340i −0.552998 + 0.957820i
\(321\) −1.88375 5.45738i −0.105141 0.304601i
\(322\) 0.514750 + 2.59549i 0.0286859 + 0.144641i
\(323\) 2.17796i 0.121185i
\(324\) 12.0648 + 11.5804i 0.670266 + 0.643355i
\(325\) 10.4226 6.01752i 0.578144 0.333792i
\(326\) −6.71238 + 3.87540i −0.371765 + 0.214638i
\(327\) 2.72143 14.0574i 0.150495 0.777375i
\(328\) 8.06006i 0.445043i
\(329\) 11.2166 9.82549i 0.618392 0.541697i
\(330\) 1.70617 0.588927i 0.0939215 0.0324194i
\(331\) 6.12611 10.6107i 0.336721 0.583218i −0.647093 0.762411i \(-0.724015\pi\)
0.983814 + 0.179193i \(0.0573487\pi\)
\(332\) 5.03638 + 8.72327i 0.276407 + 0.478752i
\(333\) 8.40594 + 3.38141i 0.460643 + 0.185300i
\(334\) −4.32739 2.49842i −0.236784 0.136707i
\(335\) −17.3609 −0.948527
\(336\) −14.5216 + 0.0661508i −0.792219 + 0.00360882i
\(337\) −7.76601 −0.423042 −0.211521 0.977373i \(-0.567842\pi\)
−0.211521 + 0.977373i \(0.567842\pi\)
\(338\) −0.326193 0.188328i −0.0177426 0.0102437i
\(339\) −10.1478 + 11.6916i −0.551155 + 0.635003i
\(340\) −2.29668 3.97797i −0.124555 0.215736i
\(341\) −2.12563 + 3.68170i −0.115109 + 0.199375i
\(342\) −3.23407 + 2.53463i −0.174879 + 0.137057i
\(343\) 10.2632 + 15.4165i 0.554159 + 0.832411i
\(344\) 4.03264i 0.217425i
\(345\) −18.6357 3.60777i −1.00331 0.194236i
\(346\) 3.42739 1.97880i 0.184257 0.106381i
\(347\) 10.0494 5.80201i 0.539479 0.311468i −0.205389 0.978680i \(-0.565846\pi\)
0.744868 + 0.667212i \(0.232513\pi\)
\(348\) −33.1991 6.42715i −1.77966 0.344531i
\(349\) 0.846216i 0.0452969i −0.999743 0.0226485i \(-0.992790\pi\)
0.999743 0.0226485i \(-0.00720984\pi\)
\(350\) 3.86156 11.3547i 0.206409 0.606934i
\(351\) −4.36428 2.82012i −0.232948 0.150527i
\(352\) 1.37416 2.38012i 0.0732432 0.126861i
\(353\) 12.5877 + 21.8025i 0.669976 + 1.16043i 0.977910 + 0.209025i \(0.0670289\pi\)
−0.307935 + 0.951408i \(0.599638\pi\)
\(354\) 1.90449 2.19422i 0.101222 0.116621i
\(355\) −35.1225 20.2780i −1.86411 1.07624i
\(356\) −13.6416 −0.723004
\(357\) 1.36150 2.38320i 0.0720583 0.126132i
\(358\) 3.46346 0.183050
\(359\) 6.10737 + 3.52609i 0.322335 + 0.186100i 0.652433 0.757847i \(-0.273749\pi\)
−0.330098 + 0.943947i \(0.607082\pi\)
\(360\) −6.71518 + 16.6934i −0.353921 + 0.879821i
\(361\) −2.88845 5.00295i −0.152024 0.263313i
\(362\) −2.76113 + 4.78242i −0.145122 + 0.251358i
\(363\) −17.2742 + 5.96261i −0.906658 + 0.312956i
\(364\) 4.82223 0.956366i 0.252754 0.0501272i
\(365\) 3.00022i 0.157039i
\(366\) 1.22026 6.30316i 0.0637838 0.329471i
\(367\) 1.25896 0.726863i 0.0657174 0.0379419i −0.466781 0.884373i \(-0.654586\pi\)
0.532499 + 0.846431i \(0.321253\pi\)
\(368\) −7.28692 + 4.20710i −0.379857 + 0.219310i
\(369\) 2.34072 + 16.4740i 0.121853 + 0.857600i
\(370\) 4.69515i 0.244089i
\(371\) −9.22347 + 1.82924i −0.478859 + 0.0949694i
\(372\) −6.65982 19.2940i −0.345296 1.00035i
\(373\) −0.575580 + 0.996933i −0.0298024 + 0.0516192i −0.880542 0.473968i \(-0.842821\pi\)
0.850740 + 0.525588i \(0.176154\pi\)
\(374\) 0.0756113 + 0.130963i 0.00390977 + 0.00677192i
\(375\) 37.9808 + 32.9657i 1.96132 + 1.70234i
\(376\) −7.09291 4.09509i −0.365789 0.211188i
\(377\) 10.5070 0.541138
\(378\) −5.12330 + 0.751775i −0.263514 + 0.0386671i
\(379\) −25.9474 −1.33283 −0.666415 0.745581i \(-0.732172\pi\)
−0.666415 + 0.745581i \(0.732172\pi\)
\(380\) 24.1515 + 13.9439i 1.23895 + 0.715307i
\(381\) 9.96243 + 8.64696i 0.510391 + 0.442997i
\(382\) −2.85046 4.93714i −0.145842 0.252606i
\(383\) 1.13541 1.96659i 0.0580167 0.100488i −0.835558 0.549402i \(-0.814856\pi\)
0.893575 + 0.448914i \(0.148189\pi\)
\(384\) 5.65448 + 16.3815i 0.288554 + 0.835965i
\(385\) 2.35685 6.93017i 0.120116 0.353194i
\(386\) 0.909800i 0.0463076i
\(387\) −1.17112 8.24232i −0.0595313 0.418980i
\(388\) 24.8256 14.3331i 1.26033 0.727651i
\(389\) 19.5369 11.2796i 0.990561 0.571901i 0.0851189 0.996371i \(-0.472873\pi\)
0.905442 + 0.424470i \(0.139540\pi\)
\(390\) 0.511776 2.64355i 0.0259148 0.133861i
\(391\) 1.59033i 0.0804264i
\(392\) 6.20163 8.06323i 0.313230 0.407254i
\(393\) −23.1795 + 8.00100i −1.16925 + 0.403597i
\(394\) 2.63130 4.55755i 0.132563 0.229606i
\(395\) 31.6764 + 54.8651i 1.59381 + 2.76056i
\(396\) −1.39453 + 3.46671i −0.0700780 + 0.174209i
\(397\) −4.37371 2.52516i −0.219510 0.126734i 0.386213 0.922410i \(-0.373783\pi\)
−0.605724 + 0.795675i \(0.707116\pi\)
\(398\) −0.735557 −0.0368701
\(399\) 0.0759088 + 16.6637i 0.00380019 + 0.834229i
\(400\) 38.1379 1.90690
\(401\) 28.3341 + 16.3587i 1.41494 + 0.816915i 0.995848 0.0910299i \(-0.0290159\pi\)
0.419090 + 0.907945i \(0.362349\pi\)
\(402\) −1.79875 + 2.07239i −0.0897133 + 0.103361i
\(403\) 3.17102 + 5.49237i 0.157960 + 0.273595i
\(404\) 3.00936 5.21237i 0.149722 0.259325i
\(405\) 8.87721 36.0698i 0.441112 1.79232i
\(406\) 7.87613 6.89931i 0.390886 0.342407i
\(407\) 2.02452i 0.100352i
\(408\) −1.48005 0.286529i −0.0732733 0.0141853i
\(409\) −20.4013 + 11.7787i −1.00878 + 0.582419i −0.910834 0.412773i \(-0.864560\pi\)
−0.0979449 + 0.995192i \(0.531227\pi\)
\(410\) −7.46730 + 4.31125i −0.368784 + 0.212917i
\(411\) 24.3503 + 4.71408i 1.20111 + 0.232528i
\(412\) 7.71238i 0.379962i
\(413\) −2.29222 11.5579i −0.112793 0.568729i
\(414\) −2.36149 + 1.85077i −0.116061 + 0.0909603i
\(415\) 11.1870 19.3765i 0.549149 0.951153i
\(416\) −2.04998 3.55067i −0.100509 0.174086i
\(417\) 11.7155 13.4978i 0.573711 0.660990i
\(418\) −0.795116 0.459060i −0.0388904 0.0224534i
\(419\) −28.9733 −1.41544 −0.707718 0.706495i \(-0.750275\pi\)
−0.707718 + 0.706495i \(0.750275\pi\)
\(420\) 17.7107 + 30.3557i 0.864194 + 1.48120i
\(421\) 8.30751 0.404883 0.202442 0.979294i \(-0.435112\pi\)
0.202442 + 0.979294i \(0.435112\pi\)
\(422\) −5.27650 3.04639i −0.256856 0.148296i
\(423\) 15.6865 + 6.31011i 0.762701 + 0.306808i
\(424\) 2.58234 + 4.47275i 0.125410 + 0.217216i
\(425\) −3.60413 + 6.24254i −0.174826 + 0.302808i
\(426\) −6.05961 + 2.09163i −0.293589 + 0.101340i
\(427\) −17.1563 19.5854i −0.830254 0.947804i
\(428\) 6.19360i 0.299379i
\(429\) 0.220674 1.13988i 0.0106543 0.0550340i
\(430\) 3.73607 2.15702i 0.180169 0.104021i
\(431\) −11.9518 + 6.90038i −0.575698 + 0.332380i −0.759422 0.650598i \(-0.774518\pi\)
0.183724 + 0.982978i \(0.441185\pi\)
\(432\) −7.50879 14.6544i −0.361267 0.705061i
\(433\) 4.27688i 0.205534i −0.994705 0.102767i \(-0.967230\pi\)
0.994705 0.102767i \(-0.0327695\pi\)
\(434\) 5.98353 + 2.03491i 0.287219 + 0.0976788i
\(435\) 24.5080 + 71.0015i 1.17507 + 3.40426i
\(436\) −7.68033 + 13.3027i −0.367821 + 0.637085i
\(437\) 4.82770 + 8.36181i 0.230940 + 0.400000i
\(438\) 0.358140 + 0.310850i 0.0171126 + 0.0148530i
\(439\) 8.47220 + 4.89143i 0.404356 + 0.233455i 0.688362 0.725367i \(-0.258330\pi\)
−0.284006 + 0.958823i \(0.591663\pi\)
\(440\) −4.02051 −0.191671
\(441\) −10.3339 + 18.2814i −0.492089 + 0.870545i
\(442\) 0.225594 0.0107304
\(443\) −10.6399 6.14297i −0.505519 0.291861i 0.225471 0.974250i \(-0.427608\pi\)
−0.730990 + 0.682389i \(0.760941\pi\)
\(444\) −7.34068 6.37140i −0.348373 0.302373i
\(445\) 15.1506 + 26.2417i 0.718209 + 1.24397i
\(446\) 0.190529 0.330006i 0.00902182 0.0156262i
\(447\) 6.51184 + 18.8653i 0.307999 + 0.892298i
\(448\) 12.0072 + 4.08346i 0.567285 + 0.192925i
\(449\) 26.4987i 1.25055i 0.780404 + 0.625276i \(0.215014\pi\)
−0.780404 + 0.625276i \(0.784986\pi\)
\(450\) 13.4640 1.91304i 0.634697 0.0901817i
\(451\) −3.21985 + 1.85898i −0.151617 + 0.0875361i
\(452\) 14.3832 8.30415i 0.676530 0.390595i
\(453\) 5.33087 27.5363i 0.250466 1.29377i
\(454\) 1.79613i 0.0842965i
\(455\) −7.19538 8.21412i −0.337324 0.385084i
\(456\) 8.65178 2.98638i 0.405156 0.139850i
\(457\) 4.97542 8.61768i 0.232740 0.403118i −0.725873 0.687828i \(-0.758564\pi\)
0.958614 + 0.284710i \(0.0918974\pi\)
\(458\) 2.96107 + 5.12872i 0.138362 + 0.239649i
\(459\) 3.10828 + 0.155816i 0.145082 + 0.00727285i
\(460\) 17.6353 + 10.1817i 0.822248 + 0.474725i
\(461\) −15.6920 −0.730849 −0.365424 0.930841i \(-0.619076\pi\)
−0.365424 + 0.930841i \(0.619076\pi\)
\(462\) −0.583071 0.999368i −0.0271269 0.0464948i
\(463\) −28.3707 −1.31850 −0.659250 0.751924i \(-0.729126\pi\)
−0.659250 + 0.751924i \(0.729126\pi\)
\(464\) 28.8350 + 16.6479i 1.33863 + 0.772858i
\(465\) −29.7184 + 34.2395i −1.37816 + 1.58782i
\(466\) −5.38039 9.31911i −0.249242 0.431699i
\(467\) 7.08321 12.2685i 0.327772 0.567718i −0.654297 0.756237i \(-0.727036\pi\)
0.982069 + 0.188520i \(0.0603689\pi\)
\(468\) 3.43859 + 4.38748i 0.158949 + 0.202811i
\(469\) 2.16495 + 10.9162i 0.0999683 + 0.504064i
\(470\) 8.76170i 0.404147i
\(471\) −32.5041 6.29261i −1.49771 0.289948i
\(472\) −5.60480 + 3.23594i −0.257982 + 0.148946i
\(473\) 1.61097 0.930094i 0.0740725 0.0427658i
\(474\) 9.83126 + 1.90328i 0.451565 + 0.0874204i
\(475\) 43.7637i 2.00802i
\(476\) −2.21488 + 1.94018i −0.101519 + 0.0889279i
\(477\) −6.57699 8.39192i −0.301139 0.384240i
\(478\) 2.74187 4.74907i 0.125410 0.217217i
\(479\) −7.03930 12.1924i −0.321634 0.557087i 0.659191 0.751975i \(-0.270899\pi\)
−0.980825 + 0.194889i \(0.937565\pi\)
\(480\) 19.2122 22.1349i 0.876911 1.01032i
\(481\) 2.61556 + 1.51009i 0.119259 + 0.0688543i
\(482\) 2.91756 0.132891
\(483\) 0.0554280 + 12.1677i 0.00252206 + 0.553650i
\(484\) 19.6045 0.891114
\(485\) −55.1436 31.8372i −2.50394 1.44565i
\(486\) −3.38594 4.79685i −0.153589 0.217589i
\(487\) −6.61172 11.4518i −0.299606 0.518933i 0.676440 0.736498i \(-0.263522\pi\)
−0.976046 + 0.217565i \(0.930189\pi\)
\(488\) −7.15046 + 12.3850i −0.323686 + 0.560641i
\(489\) −33.6914 + 11.6294i −1.52358 + 0.525901i
\(490\) −10.7874 1.43261i −0.487326 0.0647186i
\(491\) 22.1935i 1.00158i −0.865569 0.500790i \(-0.833043\pi\)
0.865569 0.500790i \(-0.166957\pi\)
\(492\) 3.39279 17.5253i 0.152959 0.790099i
\(493\) −5.44996 + 3.14653i −0.245454 + 0.141713i
\(494\) −1.18616 + 0.684827i −0.0533677 + 0.0308118i
\(495\) 8.21753 1.16760i 0.369350 0.0524796i
\(496\) 20.0974i 0.902399i
\(497\) −8.37055 + 24.6131i −0.375471 + 1.10405i
\(498\) −1.15391 3.34298i −0.0517082 0.149803i
\(499\) −11.2460 + 19.4787i −0.503442 + 0.871988i 0.496550 + 0.868008i \(0.334600\pi\)
−0.999992 + 0.00397934i \(0.998733\pi\)
\(500\) −26.9764 46.7245i −1.20642 2.08958i
\(501\) −17.3531 15.0618i −0.775279 0.672910i
\(502\) −2.19230 1.26572i −0.0978469 0.0564920i
\(503\) −20.0211 −0.892697 −0.446349 0.894859i \(-0.647276\pi\)
−0.446349 + 0.894859i \(0.647276\pi\)
\(504\) 11.3339 + 2.14067i 0.504853 + 0.0953528i
\(505\) −13.3690 −0.594914
\(506\) −0.580587 0.335202i −0.0258102 0.0149015i
\(507\) −1.30806 1.13534i −0.0580928 0.0504221i
\(508\) −7.07596 12.2559i −0.313945 0.543768i
\(509\) −19.5355 + 33.8365i −0.865896 + 1.49978i 0.000258738 1.00000i \(0.499918\pi\)
−0.866155 + 0.499776i \(0.833416\pi\)
\(510\) 0.526207 + 1.52446i 0.0233008 + 0.0675043i
\(511\) 1.88649 0.374137i 0.0834533 0.0165508i
\(512\) 22.2024i 0.981219i
\(513\) −16.8161 + 8.61642i −0.742448 + 0.380424i
\(514\) 5.16794 2.98371i 0.227948 0.131606i
\(515\) −14.8359 + 8.56552i −0.653749 + 0.377442i
\(516\) −1.69749 + 8.76830i −0.0747279 + 0.386003i
\(517\) 3.77799i 0.166156i
\(518\) 2.95223 0.585499i 0.129714 0.0257254i
\(519\) 17.2030 5.93806i 0.755129 0.260652i
\(520\) −2.99891 + 5.19426i −0.131511 + 0.227783i
\(521\) 18.1493 + 31.4355i 0.795136 + 1.37722i 0.922753 + 0.385392i \(0.125934\pi\)
−0.127617 + 0.991823i \(0.540733\pi\)
\(522\) 11.0148 + 4.43086i 0.482104 + 0.193933i
\(523\) 12.7402 + 7.35555i 0.557090 + 0.321636i 0.751977 0.659190i \(-0.229101\pi\)
−0.194887 + 0.980826i \(0.562434\pi\)
\(524\) 26.3065 1.14921
\(525\) 27.3579 47.8877i 1.19400 2.08999i
\(526\) 2.54513 0.110973
\(527\) −3.28960 1.89925i −0.143297 0.0827328i
\(528\) 2.41170 2.77859i 0.104956 0.120923i
\(529\) −7.97486 13.8129i −0.346733 0.600559i
\(530\) 2.76254 4.78486i 0.119997 0.207841i
\(531\) 10.5159 8.24162i 0.456352 0.357656i
\(532\) 5.75591 16.9249i 0.249550 0.733788i
\(533\) 5.54647i 0.240244i
\(534\) 4.70224 + 0.910327i 0.203486 + 0.0393937i
\(535\) 11.9143 6.87873i 0.515101 0.297394i
\(536\) 5.29362 3.05627i 0.228649 0.132011i
\(537\) 15.6364 + 3.02712i 0.674760 + 0.130630i
\(538\) 1.31536i 0.0567094i
\(539\) −4.65147 0.617731i −0.200353 0.0266076i
\(540\) −21.6279 + 33.4704i −0.930717 + 1.44033i
\(541\) −4.97360 + 8.61453i −0.213832 + 0.370368i −0.952911 0.303251i \(-0.901928\pi\)
0.739079 + 0.673619i \(0.235261\pi\)
\(542\) −1.74839 3.02830i −0.0750998 0.130077i
\(543\) −16.6455 + 19.1778i −0.714328 + 0.822998i
\(544\) 2.12664 + 1.22782i 0.0911789 + 0.0526422i
\(545\) 34.1197 1.46153
\(546\) −1.72604 + 0.00786267i −0.0738675 + 0.000336491i
\(547\) −11.2450 −0.480803 −0.240401 0.970674i \(-0.577279\pi\)
−0.240401 + 0.970674i \(0.577279\pi\)
\(548\) −23.0430 13.3039i −0.984350 0.568315i
\(549\) 11.0181 27.3902i 0.470242 1.16899i
\(550\) 1.51932 + 2.63155i 0.0647842 + 0.112210i
\(551\) 19.1036 33.0884i 0.813841 1.40961i
\(552\) 6.31745 2.18063i 0.268889 0.0928137i
\(553\) 30.5480 26.7594i 1.29904 1.13792i
\(554\) 6.75198i 0.286864i
\(555\) −4.10364 + 21.1971i −0.174190 + 0.899767i
\(556\) −16.6052 + 9.58700i −0.704216 + 0.406579i
\(557\) 4.04380 2.33469i 0.171341 0.0989239i −0.411877 0.911240i \(-0.635127\pi\)
0.583218 + 0.812316i \(0.301793\pi\)
\(558\) 1.00811 + 7.09504i 0.0426766 + 0.300357i
\(559\) 2.77503i 0.117371i
\(560\) −6.73177 33.9432i −0.284469 1.43436i
\(561\) 0.226897 + 0.657339i 0.00957960 + 0.0277529i
\(562\) −3.71733 + 6.43860i −0.156806 + 0.271596i
\(563\) 14.8560 + 25.7314i 0.626106 + 1.08445i 0.988326 + 0.152355i \(0.0486856\pi\)
−0.362220 + 0.932093i \(0.617981\pi\)
\(564\) −13.6986 11.8898i −0.576813 0.500650i
\(565\) −31.9486 18.4455i −1.34409 0.776009i
\(566\) 9.18142 0.385924
\(567\) −23.7871 1.08382i −0.998964 0.0455162i
\(568\) 14.2792 0.599143
\(569\) −12.5662 7.25512i −0.526804 0.304151i 0.212910 0.977072i \(-0.431706\pi\)
−0.739714 + 0.672921i \(0.765039\pi\)
\(570\) −7.39450 6.41811i −0.309722 0.268825i
\(571\) 13.3797 + 23.1744i 0.559925 + 0.969818i 0.997502 + 0.0706372i \(0.0225033\pi\)
−0.437577 + 0.899181i \(0.644163\pi\)
\(572\) −0.622780 + 1.07869i −0.0260398 + 0.0451022i
\(573\) −8.55376 24.7809i −0.357338 1.03524i
\(574\) 3.64203 + 4.15768i 0.152015 + 0.173538i
\(575\) 31.9559i 1.33265i
\(576\) 2.02297 + 14.2376i 0.0842905 + 0.593235i
\(577\) 6.98695 4.03392i 0.290870 0.167934i −0.347464 0.937693i \(-0.612957\pi\)
0.638334 + 0.769759i \(0.279624\pi\)
\(578\) 5.42827 3.13401i 0.225786 0.130358i
\(579\) 0.795179 4.10745i 0.0330465 0.170700i
\(580\) 80.5799i 3.34590i
\(581\) −13.5786 4.61789i −0.563336 0.191582i
\(582\) −9.51381 + 3.28393i −0.394360 + 0.136123i
\(583\) 1.19119 2.06320i 0.0493341 0.0854492i
\(584\) −0.528170 0.914817i −0.0218558 0.0378554i
\(585\) 4.62100 11.4875i 0.191055 0.474948i
\(586\) −2.11015 1.21829i −0.0871694 0.0503273i
\(587\) 36.9526 1.52520 0.762598 0.646873i \(-0.223924\pi\)
0.762598 + 0.646873i \(0.223924\pi\)
\(588\) 16.8785 14.9216i 0.696059 0.615357i
\(589\) 23.0620 0.950251
\(590\) 5.99591 + 3.46174i 0.246848 + 0.142518i
\(591\) 15.8628 18.2760i 0.652509 0.751776i
\(592\) 4.78535 + 8.28847i 0.196677 + 0.340654i
\(593\) −14.1813 + 24.5627i −0.582355 + 1.00867i 0.412844 + 0.910802i \(0.364535\pi\)
−0.995199 + 0.0978671i \(0.968798\pi\)
\(594\) 0.712033 1.10191i 0.0292151 0.0452119i
\(595\) 6.19211 + 2.10584i 0.253852 + 0.0863312i
\(596\) 21.4103i 0.877000i
\(597\) −3.32080 0.642888i −0.135911 0.0263116i
\(598\) −0.866121 + 0.500055i −0.0354183 + 0.0204488i
\(599\) −1.90744 + 1.10126i −0.0779357 + 0.0449962i −0.538461 0.842650i \(-0.680994\pi\)
0.460526 + 0.887646i \(0.347661\pi\)
\(600\) −29.7399 5.75748i −1.21413 0.235048i
\(601\) 13.5961i 0.554595i −0.960784 0.277298i \(-0.910561\pi\)
0.960784 0.277298i \(-0.0894388\pi\)
\(602\) −1.82219 2.08019i −0.0742671 0.0847821i
\(603\) −9.93205 + 7.78403i −0.404464 + 0.316990i
\(604\) −15.0446 + 26.0580i −0.612157 + 1.06029i
\(605\) −21.7731 37.7122i −0.885204 1.53322i
\(606\) −1.38515 + 1.59588i −0.0562680 + 0.0648281i
\(607\) 32.7403 + 18.9026i 1.32889 + 0.767234i 0.985128 0.171823i \(-0.0549658\pi\)
0.343760 + 0.939057i \(0.388299\pi\)
\(608\) −14.9089 −0.604637
\(609\) 41.5883 24.2643i 1.68524 0.983238i
\(610\) 15.2989 0.619432
\(611\) 4.88093 + 2.81801i 0.197461 + 0.114004i
\(612\) −3.09751 1.24602i −0.125209 0.0503673i
\(613\) 15.7885 + 27.3464i 0.637691 + 1.10451i 0.985938 + 0.167110i \(0.0534435\pi\)
−0.348248 + 0.937403i \(0.613223\pi\)
\(614\) −2.84006 + 4.91913i −0.114616 + 0.198520i
\(615\) −37.4805 + 12.9374i −1.51136 + 0.521684i
\(616\) 0.501370 + 2.52803i 0.0202008 + 0.101857i
\(617\) 13.4929i 0.543202i −0.962410 0.271601i \(-0.912447\pi\)
0.962410 0.271601i \(-0.0875532\pi\)
\(618\) −0.514660 + 2.65845i −0.0207027 + 0.106938i
\(619\) −29.4320 + 16.9926i −1.18297 + 0.682990i −0.956700 0.291075i \(-0.905987\pi\)
−0.226272 + 0.974064i \(0.572654\pi\)
\(620\) 42.1219 24.3191i 1.69166 0.976678i
\(621\) −12.2790 + 6.29164i −0.492738 + 0.252475i
\(622\) 8.84821i 0.354781i
\(623\) 14.6110 12.7989i 0.585376 0.512775i
\(624\) −1.79088 5.18832i −0.0716926 0.207699i
\(625\) −29.8334 + 51.6730i −1.19334 + 2.06692i
\(626\) 4.02378 + 6.96939i 0.160822 + 0.278553i
\(627\) −3.18846 2.76745i −0.127335 0.110521i
\(628\) 30.7592 + 17.7588i 1.22742 + 0.708653i
\(629\) −1.80891 −0.0721260
\(630\) −4.07917 11.6454i −0.162518 0.463965i
\(631\) −36.4238 −1.45001 −0.725005 0.688744i \(-0.758162\pi\)
−0.725005 + 0.688744i \(0.758162\pi\)
\(632\) −19.3173 11.1528i −0.768400 0.443636i
\(633\) −21.1591 18.3652i −0.840998 0.729951i
\(634\) −3.47908 6.02594i −0.138172 0.239321i
\(635\) −15.7174 + 27.2233i −0.623726 + 1.08032i
\(636\) 3.73212 + 10.8123i 0.147988 + 0.428734i
\(637\) −4.26761 + 5.54865i −0.169089 + 0.219846i
\(638\) 2.65285i 0.105027i
\(639\) −29.1853 + 4.14683i −1.15455 + 0.164046i
\(640\) −35.7634 + 20.6480i −1.41367 + 0.816183i
\(641\) −11.4454 + 6.60802i −0.452067 + 0.261001i −0.708703 0.705507i \(-0.750719\pi\)
0.256636 + 0.966508i \(0.417386\pi\)
\(642\) 0.413309 2.13492i 0.0163120 0.0842587i
\(643\) 12.5686i 0.495658i 0.968804 + 0.247829i \(0.0797172\pi\)
−0.968804 + 0.247829i \(0.920283\pi\)
\(644\) 4.20292 12.3584i 0.165618 0.486990i
\(645\) 18.7524 6.47287i 0.738375 0.254869i
\(646\) 0.410171 0.710436i 0.0161379 0.0279517i
\(647\) 8.60547 + 14.9051i 0.338316 + 0.585981i 0.984116 0.177526i \(-0.0568094\pi\)
−0.645800 + 0.763507i \(0.723476\pi\)
\(648\) 3.64305 + 12.5611i 0.143113 + 0.493445i
\(649\) 2.58540 + 1.49268i 0.101486 + 0.0585929i
\(650\) 4.53306 0.177801
\(651\) 25.2352 + 14.4167i 0.989044 + 0.565033i
\(652\) 38.2365 1.49746
\(653\) 21.4516 + 12.3851i 0.839465 + 0.484666i 0.857082 0.515179i \(-0.172275\pi\)
−0.0176171 + 0.999845i \(0.505608\pi\)
\(654\) 3.53511 4.07290i 0.138234 0.159263i
\(655\) −29.2166 50.6046i −1.14159 1.97728i
\(656\) −8.78814 + 15.2215i −0.343119 + 0.594300i
\(657\) 1.34520 + 1.71641i 0.0524812 + 0.0669635i
\(658\) 5.50920 1.09261i 0.214771 0.0425944i
\(659\) 15.4940i 0.603562i 0.953377 + 0.301781i \(0.0975812\pi\)
−0.953377 + 0.301781i \(0.902419\pi\)
\(660\) −8.74193 1.69239i −0.340279 0.0658761i
\(661\) 16.3468 9.43785i 0.635818 0.367090i −0.147183 0.989109i \(-0.547021\pi\)
0.783002 + 0.622019i \(0.213687\pi\)
\(662\) 3.99659 2.30743i 0.155332 0.0896809i
\(663\) 1.01848 + 0.197173i 0.0395547 + 0.00765756i
\(664\) 7.87760i 0.305710i
\(665\) −38.9502 + 7.72478i −1.51042 + 0.299554i
\(666\) 2.10515 + 2.68607i 0.0815728 + 0.104083i
\(667\) 13.9493 24.1609i 0.540119 0.935513i
\(668\) 12.3253 + 21.3480i 0.476880 + 0.825980i
\(669\) 1.14861 1.32335i 0.0444077 0.0511635i
\(670\) −5.66301 3.26954i −0.218781 0.126313i
\(671\) 6.59677 0.254666
\(672\) −16.3138 9.31998i −0.629320 0.359526i
\(673\) 9.90685 0.381881 0.190940 0.981602i \(-0.438846\pi\)
0.190940 + 0.981602i \(0.438846\pi\)
\(674\) −2.53322 1.46256i −0.0975761 0.0563356i
\(675\) 62.4574 + 3.13094i 2.40399 + 0.120510i
\(676\) 0.929065 + 1.60919i 0.0357333 + 0.0618919i
\(677\) 16.9448 29.3492i 0.651240 1.12798i −0.331582 0.943426i \(-0.607582\pi\)
0.982822 0.184555i \(-0.0590843\pi\)
\(678\) −5.51202 + 1.90261i −0.211688 + 0.0730694i
\(679\) −13.1421 + 38.6435i −0.504347 + 1.48300i
\(680\) 3.59233i 0.137760i
\(681\) 1.56984 8.10894i 0.0601565 0.310735i
\(682\) −1.38673 + 0.800632i −0.0531008 + 0.0306578i
\(683\) 23.4427 13.5347i 0.897011 0.517889i 0.0207815 0.999784i \(-0.493385\pi\)
0.876229 + 0.481895i \(0.160051\pi\)
\(684\) 20.0689 2.85151i 0.767354 0.109030i
\(685\) 59.1023i 2.25818i
\(686\) 0.444426 + 6.96159i 0.0169682 + 0.265795i
\(687\) 8.88568 + 25.7425i 0.339010 + 0.982138i
\(688\) 4.39692 7.61568i 0.167631 0.290345i
\(689\) −1.77702 3.07789i −0.0676991 0.117258i
\(690\) −5.39940 4.68645i −0.205552 0.178410i
\(691\) 21.8850 + 12.6353i 0.832545 + 0.480670i 0.854723 0.519084i \(-0.173727\pi\)
−0.0221783 + 0.999754i \(0.507060\pi\)
\(692\) −19.5238 −0.742183
\(693\) −1.75891 5.02143i −0.0668156 0.190748i
\(694\) 4.37072 0.165910
\(695\) 36.8840 + 21.2950i 1.39909 + 0.807766i
\(696\) −19.9722 17.3351i −0.757045 0.657083i
\(697\) −1.66100 2.87694i −0.0629150 0.108972i
\(698\) 0.159366 0.276030i 0.00603210 0.0104479i
\(699\) −16.1457 46.7753i −0.610685 1.76920i
\(700\) −44.5054 + 38.9857i −1.68215 + 1.47352i
\(701\) 2.83213i 0.106968i −0.998569 0.0534840i \(-0.982967\pi\)
0.998569 0.0534840i \(-0.0170326\pi\)
\(702\) −0.892493 1.74182i −0.0336850 0.0657407i
\(703\) 9.51110 5.49124i 0.358718 0.207106i
\(704\) −2.78276 + 1.60663i −0.104879 + 0.0605521i
\(705\) −7.65786 + 39.5562i −0.288412 + 1.48977i
\(706\) 9.48246i 0.356877i
\(707\) 1.66716 + 8.40621i 0.0626999 + 0.316148i
\(708\) −13.5488 + 4.67672i −0.509196 + 0.175762i
\(709\) 16.5476 28.6613i 0.621458 1.07640i −0.367756 0.929922i \(-0.619874\pi\)
0.989214 0.146475i \(-0.0467928\pi\)
\(710\) −7.63781 13.2291i −0.286642 0.496479i
\(711\) 42.7215 + 17.1853i 1.60218 + 0.644501i
\(712\) −9.23935 5.33434i −0.346259 0.199913i
\(713\) 16.8396 0.630650
\(714\) 0.892935 0.520974i 0.0334173 0.0194970i
\(715\) 2.76669 0.103468
\(716\) −14.7970 8.54303i −0.552988 0.319268i
\(717\) 16.5294 19.0440i 0.617303 0.711213i
\(718\) 1.32812 + 2.30038i 0.0495651 + 0.0858492i
\(719\) 2.28833 3.96350i 0.0853401 0.147813i −0.820196 0.572083i \(-0.806136\pi\)
0.905536 + 0.424269i \(0.139469\pi\)
\(720\) 30.8830 24.2039i 1.15094 0.902026i
\(721\) 7.23593 + 8.26042i 0.269480 + 0.307634i
\(722\) 2.17591i 0.0809788i
\(723\) 13.1718 + 2.54999i 0.489866 + 0.0948353i
\(724\) 23.5928 13.6213i 0.876819 0.506232i
\(725\) −109.511 + 63.2261i −4.06713 + 2.34816i
\(726\) −6.75764 1.30824i −0.250800 0.0485534i
\(727\) 28.8022i 1.06821i 0.845417 + 0.534107i \(0.179352\pi\)
−0.845417 + 0.534107i \(0.820648\pi\)
\(728\) 3.64003 + 1.23792i 0.134908 + 0.0458804i
\(729\) −11.0939 24.6156i −0.410885 0.911687i
\(730\) −0.565026 + 0.978653i −0.0209125 + 0.0362216i
\(731\) 0.831039 + 1.43940i 0.0307371 + 0.0532382i
\(732\) −20.7608 + 23.9191i −0.767341 + 0.884076i
\(733\) −15.5664 8.98728i −0.574959 0.331953i 0.184168 0.982895i \(-0.441041\pi\)
−0.759128 + 0.650942i \(0.774374\pi\)
\(734\) 0.547554 0.0202106
\(735\) −47.4496 15.8961i −1.75020 0.586337i
\(736\) −10.8864 −0.401277
\(737\) −2.44185 1.40981i −0.0899469 0.0519308i
\(738\) −2.33898 + 5.81452i −0.0860990 + 0.214035i
\(739\) −19.5409 33.8458i −0.718822 1.24504i −0.961467 0.274921i \(-0.911348\pi\)
0.242645 0.970115i \(-0.421985\pi\)
\(740\) 11.5811 20.0591i 0.425731 0.737388i
\(741\) −5.95366 + 2.05505i −0.218713 + 0.0754943i
\(742\) −3.35313 1.14035i −0.123097 0.0418636i
\(743\) 1.51895i 0.0557250i 0.999612 + 0.0278625i \(0.00887005\pi\)
−0.999612 + 0.0278625i \(0.991130\pi\)
\(744\) 3.03399 15.6719i 0.111232 0.574560i
\(745\) −41.1859 + 23.7787i −1.50894 + 0.871184i
\(746\) −0.375501 + 0.216795i −0.0137481 + 0.00793744i
\(747\) −2.28773 16.1010i −0.0837038 0.589106i
\(748\) 0.746016i 0.0272771i
\(749\) −5.81097 6.63371i −0.212328 0.242390i
\(750\) 6.18072 + 17.9060i 0.225688 + 0.653836i
\(751\) 16.5737 28.7065i 0.604783 1.04751i −0.387303 0.921953i \(-0.626593\pi\)
0.992086 0.125562i \(-0.0400735\pi\)
\(752\) 8.93002 + 15.4672i 0.325644 + 0.564032i
\(753\) −8.79124 7.63042i −0.320371 0.278068i
\(754\) 3.42732 + 1.97876i 0.124815 + 0.0720622i
\(755\) 66.8354 2.43239
\(756\) 23.7426 + 9.42540i 0.863511 + 0.342798i
\(757\) 8.31863 0.302346 0.151173 0.988507i \(-0.451695\pi\)
0.151173 + 0.988507i \(0.451695\pi\)
\(758\) −8.46389 4.88663i −0.307422 0.177490i
\(759\) −2.32819 2.02077i −0.0845079 0.0733493i
\(760\) 10.9051 + 18.8882i 0.395569 + 0.685146i
\(761\) −10.2309 + 17.7204i −0.370868 + 0.642363i −0.989699 0.143161i \(-0.954273\pi\)
0.618831 + 0.785524i \(0.287607\pi\)
\(762\) 1.62121 + 4.69679i 0.0587304 + 0.170147i
\(763\) −4.25482 21.4538i −0.154035 0.776681i
\(764\) 28.1239i 1.01749i
\(765\) 1.04325 + 7.34237i 0.0377187 + 0.265464i
\(766\) 0.740727 0.427659i 0.0267635 0.0154519i
\(767\) 3.85691 2.22679i 0.139265 0.0804046i
\(768\) 1.91546 9.89421i 0.0691183 0.357026i
\(769\) 8.60167i 0.310184i −0.987900 0.155092i \(-0.950433\pi\)
0.987900 0.155092i \(-0.0495674\pi\)
\(770\) 2.07393 1.81671i 0.0747393 0.0654699i
\(771\) 25.9394 8.95362i 0.934183 0.322457i
\(772\) −2.24413 + 3.88694i −0.0807679 + 0.139894i
\(773\) 10.0218 + 17.3582i 0.360458 + 0.624332i 0.988036 0.154222i \(-0.0492871\pi\)
−0.627578 + 0.778554i \(0.715954\pi\)
\(774\) 1.17025 2.90914i 0.0420636 0.104567i
\(775\) −66.1009 38.1634i −2.37442 1.37087i