Properties

Label 273.2.bt.a.145.1
Level $273$
Weight $2$
Character 273.145
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 145.1
Character \(\chi\) \(=\) 273.145
Dual form 273.2.bt.a.241.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.74581 + 1.74581i) q^{2} +(-0.866025 - 0.500000i) q^{3} -4.09571i q^{4} +(-2.78539 + 0.746344i) q^{5} +(2.38482 - 0.639011i) q^{6} +(-2.58285 + 0.573466i) q^{7} +(3.65872 + 3.65872i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-1.74581 + 1.74581i) q^{2} +(-0.866025 - 0.500000i) q^{3} -4.09571i q^{4} +(-2.78539 + 0.746344i) q^{5} +(2.38482 - 0.639011i) q^{6} +(-2.58285 + 0.573466i) q^{7} +(3.65872 + 3.65872i) q^{8} +(0.500000 + 0.866025i) q^{9} +(3.55979 - 6.16574i) q^{10} +(-1.35345 + 0.362655i) q^{11} +(-2.04786 + 3.54699i) q^{12} +(3.49837 - 0.872572i) q^{13} +(3.50801 - 5.51034i) q^{14} +(2.78539 + 0.746344i) q^{15} -4.58344 q^{16} +7.55665 q^{17} +(-2.38482 - 0.639011i) q^{18} +(1.78944 - 6.67828i) q^{19} +(3.05681 + 11.4082i) q^{20} +(2.52355 + 0.794791i) q^{21} +(1.72974 - 2.99599i) q^{22} +2.27807i q^{23} +(-1.33918 - 4.99790i) q^{24} +(2.87125 - 1.65772i) q^{25} +(-4.58415 + 7.63085i) q^{26} -1.00000i q^{27} +(2.34875 + 10.5786i) q^{28} +(-3.75108 - 6.49707i) q^{29} +(-6.16574 + 3.55979i) q^{30} +(-1.39265 + 5.19745i) q^{31} +(0.684379 - 0.684379i) q^{32} +(1.35345 + 0.362655i) q^{33} +(-13.1925 + 13.1925i) q^{34} +(6.76626 - 3.52502i) q^{35} +(3.54699 - 2.04786i) q^{36} +(1.61717 + 1.61717i) q^{37} +(8.53499 + 14.7830i) q^{38} +(-3.46597 - 0.993518i) q^{39} +(-12.9216 - 7.46031i) q^{40} +(2.38652 - 8.90661i) q^{41} +(-5.79320 + 3.01809i) q^{42} +(3.04772 + 1.75960i) q^{43} +(1.48533 + 5.54333i) q^{44} +(-2.03905 - 2.03905i) q^{45} +(-3.97708 - 3.97708i) q^{46} +(-0.223361 - 0.833593i) q^{47} +(3.96937 + 2.29172i) q^{48} +(6.34227 - 2.96236i) q^{49} +(-2.11860 + 7.90673i) q^{50} +(-6.54425 - 3.77833i) q^{51} +(-3.57380 - 14.3283i) q^{52} +(-0.886338 - 1.53518i) q^{53} +(1.74581 + 1.74581i) q^{54} +(3.49922 - 2.02027i) q^{55} +(-11.5481 - 7.35179i) q^{56} +(-4.88884 + 4.88884i) q^{57} +(17.8913 + 4.79397i) q^{58} +(3.80628 - 3.80628i) q^{59} +(3.05681 - 11.4082i) q^{60} +(-3.62667 + 2.09386i) q^{61} +(-6.64246 - 11.5051i) q^{62} +(-1.78806 - 1.95008i) q^{63} -6.77728i q^{64} +(-9.09310 + 5.04144i) q^{65} +(-2.99599 + 1.72974i) q^{66} +(-1.44159 - 5.38010i) q^{67} -30.9499i q^{68} +(1.13903 - 1.97286i) q^{69} +(-5.65859 + 17.9666i) q^{70} +(-1.75325 - 6.54321i) q^{71} +(-1.33918 + 4.99790i) q^{72} +(8.10009 + 2.17041i) q^{73} -5.64656 q^{74} -3.31544 q^{75} +(-27.3523 - 7.32903i) q^{76} +(3.28779 - 1.71284i) q^{77} +(7.78542 - 4.31643i) q^{78} +(0.411935 - 0.713493i) q^{79} +(12.7667 - 3.42082i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(11.3829 + 19.7157i) q^{82} +(2.15380 + 2.15380i) q^{83} +(3.25524 - 10.3357i) q^{84} +(-21.0482 + 5.63986i) q^{85} +(-8.39268 + 2.24881i) q^{86} +7.50217i q^{87} +(-6.27874 - 3.62503i) q^{88} +(1.81982 - 1.81982i) q^{89} +7.11959 q^{90} +(-8.53540 + 4.25992i) q^{91} +9.33031 q^{92} +(3.80480 - 3.80480i) q^{93} +(1.84524 + 1.06535i) q^{94} +19.9372i q^{95} +(-0.934879 + 0.250500i) q^{96} +(8.79336 - 2.35617i) q^{97} +(-5.90070 + 16.2441i) q^{98} +(-0.990792 - 0.990792i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 6q^{7} + 18q^{9} + O(q^{10}) \) \( 36q + 6q^{7} + 18q^{9} - 8q^{11} - 16q^{12} + 42q^{14} - 24q^{16} - 8q^{17} - 18q^{19} + 14q^{20} - 4q^{21} + 4q^{22} + 18q^{24} + 24q^{25} - 50q^{26} + 34q^{28} + 8q^{29} + 6q^{31} - 50q^{32} + 8q^{33} - 24q^{34} + 14q^{35} - 14q^{37} - 8q^{38} - 2q^{39} - 30q^{40} + 34q^{41} - 18q^{42} + 30q^{43} + 28q^{44} - 32q^{46} - 10q^{47} + 24q^{48} + 6q^{49} - 20q^{50} - 24q^{51} + 4q^{52} - 8q^{53} - 30q^{55} - 92q^{56} - 24q^{57} + 72q^{58} - 70q^{59} + 14q^{60} - 60q^{61} - 48q^{62} + 6q^{63} - 44q^{65} + 18q^{66} - 46q^{67} + 4q^{69} + 80q^{70} + 42q^{71} + 18q^{72} - 56q^{73} + 40q^{74} - 20q^{75} + 12q^{76} + 24q^{77} - 16q^{78} + 170q^{80} - 18q^{81} + 24q^{82} - 60q^{83} + 2q^{85} + 12q^{86} + 84q^{88} + 64q^{89} - 86q^{91} - 100q^{92} + 12q^{93} - 66q^{94} + 46q^{96} + 36q^{97} - 22q^{98} - 4q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.74581 + 1.74581i −1.23447 + 1.23447i −0.272248 + 0.962227i \(0.587767\pi\)
−0.962227 + 0.272248i \(0.912233\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) 4.09571i 2.04786i
\(5\) −2.78539 + 0.746344i −1.24567 + 0.333775i −0.820661 0.571416i \(-0.806394\pi\)
−0.425005 + 0.905191i \(0.639728\pi\)
\(6\) 2.38482 0.639011i 0.973600 0.260875i
\(7\) −2.58285 + 0.573466i −0.976227 + 0.216750i
\(8\) 3.65872 + 3.65872i 1.29355 + 1.29355i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 3.55979 6.16574i 1.12571 1.94978i
\(11\) −1.35345 + 0.362655i −0.408080 + 0.109345i −0.457019 0.889457i \(-0.651083\pi\)
0.0489388 + 0.998802i \(0.484416\pi\)
\(12\) −2.04786 + 3.54699i −0.591165 + 1.02393i
\(13\) 3.49837 0.872572i 0.970274 0.242008i
\(14\) 3.50801 5.51034i 0.937556 1.47270i
\(15\) 2.78539 + 0.746344i 0.719185 + 0.192705i
\(16\) −4.58344 −1.14586
\(17\) 7.55665 1.83276 0.916379 0.400312i \(-0.131098\pi\)
0.916379 + 0.400312i \(0.131098\pi\)
\(18\) −2.38482 0.639011i −0.562108 0.150616i
\(19\) 1.78944 6.67828i 0.410526 1.53210i −0.383106 0.923704i \(-0.625146\pi\)
0.793632 0.608399i \(-0.208188\pi\)
\(20\) 3.05681 + 11.4082i 0.683523 + 2.55094i
\(21\) 2.52355 + 0.794791i 0.550684 + 0.173438i
\(22\) 1.72974 2.99599i 0.368781 0.638747i
\(23\) 2.27807i 0.475010i 0.971386 + 0.237505i \(0.0763296\pi\)
−0.971386 + 0.237505i \(0.923670\pi\)
\(24\) −1.33918 4.99790i −0.273360 1.02019i
\(25\) 2.87125 1.65772i 0.574251 0.331544i
\(26\) −4.58415 + 7.63085i −0.899027 + 1.49653i
\(27\) 1.00000i 0.192450i
\(28\) 2.34875 + 10.5786i 0.443872 + 1.99917i
\(29\) −3.75108 6.49707i −0.696559 1.20647i −0.969652 0.244487i \(-0.921380\pi\)
0.273094 0.961987i \(-0.411953\pi\)
\(30\) −6.16574 + 3.55979i −1.12571 + 0.649926i
\(31\) −1.39265 + 5.19745i −0.250128 + 0.933490i 0.720608 + 0.693342i \(0.243863\pi\)
−0.970736 + 0.240148i \(0.922804\pi\)
\(32\) 0.684379 0.684379i 0.120982 0.120982i
\(33\) 1.35345 + 0.362655i 0.235605 + 0.0631302i
\(34\) −13.1925 + 13.1925i −2.26249 + 2.26249i
\(35\) 6.76626 3.52502i 1.14371 0.595838i
\(36\) 3.54699 2.04786i 0.591165 0.341309i
\(37\) 1.61717 + 1.61717i 0.265862 + 0.265862i 0.827430 0.561569i \(-0.189802\pi\)
−0.561569 + 0.827430i \(0.689802\pi\)
\(38\) 8.53499 + 14.7830i 1.38456 + 2.39813i
\(39\) −3.46597 0.993518i −0.554999 0.159090i
\(40\) −12.9216 7.46031i −2.04309 1.17958i
\(41\) 2.38652 8.90661i 0.372712 1.39098i −0.483948 0.875097i \(-0.660797\pi\)
0.856659 0.515882i \(-0.172536\pi\)
\(42\) −5.79320 + 3.01809i −0.893910 + 0.465701i
\(43\) 3.04772 + 1.75960i 0.464773 + 0.268337i 0.714049 0.700096i \(-0.246859\pi\)
−0.249276 + 0.968432i \(0.580193\pi\)
\(44\) 1.48533 + 5.54333i 0.223922 + 0.835689i
\(45\) −2.03905 2.03905i −0.303963 0.303963i
\(46\) −3.97708 3.97708i −0.586388 0.586388i
\(47\) −0.223361 0.833593i −0.0325805 0.121592i 0.947720 0.319102i \(-0.103381\pi\)
−0.980301 + 0.197510i \(0.936715\pi\)
\(48\) 3.96937 + 2.29172i 0.572930 + 0.330781i
\(49\) 6.34227 2.96236i 0.906039 0.423194i
\(50\) −2.11860 + 7.90673i −0.299616 + 1.11818i
\(51\) −6.54425 3.77833i −0.916379 0.529072i
\(52\) −3.57380 14.3283i −0.495597 1.98698i
\(53\) −0.886338 1.53518i −0.121748 0.210873i 0.798709 0.601717i \(-0.205517\pi\)
−0.920457 + 0.390844i \(0.872183\pi\)
\(54\) 1.74581 + 1.74581i 0.237575 + 0.237575i
\(55\) 3.49922 2.02027i 0.471834 0.272414i
\(56\) −11.5481 7.35179i −1.54318 0.982424i
\(57\) −4.88884 + 4.88884i −0.647543 + 0.647543i
\(58\) 17.8913 + 4.79397i 2.34925 + 0.629479i
\(59\) 3.80628 3.80628i 0.495536 0.495536i −0.414509 0.910045i \(-0.636047\pi\)
0.910045 + 0.414509i \(0.136047\pi\)
\(60\) 3.05681 11.4082i 0.394632 1.47279i
\(61\) −3.62667 + 2.09386i −0.464347 + 0.268091i −0.713870 0.700278i \(-0.753059\pi\)
0.249523 + 0.968369i \(0.419726\pi\)
\(62\) −6.64246 11.5051i −0.843594 1.46115i
\(63\) −1.78806 1.95008i −0.225275 0.245688i
\(64\) 6.77728i 0.847160i
\(65\) −9.09310 + 5.04144i −1.12786 + 0.625314i
\(66\) −2.99599 + 1.72974i −0.368781 + 0.212916i
\(67\) −1.44159 5.38010i −0.176119 0.657283i −0.996358 0.0852636i \(-0.972827\pi\)
0.820240 0.572020i \(-0.193840\pi\)
\(68\) 30.9499i 3.75322i
\(69\) 1.13903 1.97286i 0.137124 0.237505i
\(70\) −5.65859 + 17.9666i −0.676330 + 2.14742i
\(71\) −1.75325 6.54321i −0.208072 0.776536i −0.988491 0.151279i \(-0.951661\pi\)
0.780419 0.625257i \(-0.215006\pi\)
\(72\) −1.33918 + 4.99790i −0.157824 + 0.589008i
\(73\) 8.10009 + 2.17041i 0.948043 + 0.254027i 0.699532 0.714601i \(-0.253392\pi\)
0.248512 + 0.968629i \(0.420059\pi\)
\(74\) −5.64656 −0.656399
\(75\) −3.31544 −0.382834
\(76\) −27.3523 7.32903i −3.13753 0.840698i
\(77\) 3.28779 1.71284i 0.374678 0.195196i
\(78\) 7.78542 4.31643i 0.881525 0.488739i
\(79\) 0.411935 0.713493i 0.0463463 0.0802742i −0.841922 0.539600i \(-0.818576\pi\)
0.888268 + 0.459326i \(0.151909\pi\)
\(80\) 12.7667 3.42082i 1.42736 0.382459i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 11.3829 + 19.7157i 1.25703 + 2.17723i
\(83\) 2.15380 + 2.15380i 0.236410 + 0.236410i 0.815362 0.578952i \(-0.196538\pi\)
−0.578952 + 0.815362i \(0.696538\pi\)
\(84\) 3.25524 10.3357i 0.355175 1.12772i
\(85\) −21.0482 + 5.63986i −2.28300 + 0.611729i
\(86\) −8.39268 + 2.24881i −0.905006 + 0.242496i
\(87\) 7.50217i 0.804317i
\(88\) −6.27874 3.62503i −0.669316 0.386430i
\(89\) 1.81982 1.81982i 0.192901 0.192901i −0.604047 0.796948i \(-0.706446\pi\)
0.796948 + 0.604047i \(0.206446\pi\)
\(90\) 7.11959 0.750470
\(91\) −8.53540 + 4.25992i −0.894753 + 0.446561i
\(92\) 9.33031 0.972752
\(93\) 3.80480 3.80480i 0.394539 0.394539i
\(94\) 1.84524 + 1.06535i 0.190322 + 0.109883i
\(95\) 19.9372i 2.04551i
\(96\) −0.934879 + 0.250500i −0.0954157 + 0.0255666i
\(97\) 8.79336 2.35617i 0.892830 0.239233i 0.216896 0.976195i \(-0.430407\pi\)
0.675934 + 0.736962i \(0.263740\pi\)
\(98\) −5.90070 + 16.2441i −0.596060 + 1.64090i
\(99\) −0.990792 0.990792i −0.0995784 0.0995784i
\(100\) −6.78954 11.7598i −0.678954 1.17598i
\(101\) 8.97642 15.5476i 0.893187 1.54704i 0.0571540 0.998365i \(-0.481797\pi\)
0.836033 0.548679i \(-0.184869\pi\)
\(102\) 18.0213 4.82879i 1.78437 0.478121i
\(103\) 3.06226 5.30399i 0.301734 0.522618i −0.674795 0.738005i \(-0.735768\pi\)
0.976529 + 0.215387i \(0.0691014\pi\)
\(104\) 15.9921 + 9.60707i 1.56815 + 0.942051i
\(105\) −7.62227 0.330370i −0.743857 0.0322408i
\(106\) 4.22752 + 1.13276i 0.410613 + 0.110023i
\(107\) −4.73397 −0.457650 −0.228825 0.973468i \(-0.573488\pi\)
−0.228825 + 0.973468i \(0.573488\pi\)
\(108\) −4.09571 −0.394110
\(109\) 17.0265 + 4.56224i 1.63084 + 0.436983i 0.954162 0.299291i \(-0.0967502\pi\)
0.676683 + 0.736275i \(0.263417\pi\)
\(110\) −2.58196 + 9.63599i −0.246180 + 0.918755i
\(111\) −0.591926 2.20910i −0.0561832 0.209678i
\(112\) 11.8384 2.62844i 1.11862 0.248365i
\(113\) −6.86440 + 11.8895i −0.645748 + 1.11847i 0.338380 + 0.941010i \(0.390121\pi\)
−0.984128 + 0.177459i \(0.943212\pi\)
\(114\) 17.0700i 1.59875i
\(115\) −1.70022 6.34531i −0.158546 0.591703i
\(116\) −26.6101 + 15.3634i −2.47069 + 1.42645i
\(117\) 2.50486 + 2.59339i 0.231574 + 0.239759i
\(118\) 13.2901i 1.22345i
\(119\) −19.5177 + 4.33348i −1.78919 + 0.397250i
\(120\) 7.46031 + 12.9216i 0.681030 + 1.17958i
\(121\) −7.82598 + 4.51833i −0.711453 + 0.410757i
\(122\) 2.67600 9.98695i 0.242273 0.904176i
\(123\) −6.52009 + 6.52009i −0.587897 + 0.587897i
\(124\) 21.2873 + 5.70391i 1.91165 + 0.512226i
\(125\) 3.43490 3.43490i 0.307227 0.307227i
\(126\) 6.52610 + 0.282859i 0.581391 + 0.0251991i
\(127\) −9.36268 + 5.40554i −0.830803 + 0.479665i −0.854128 0.520063i \(-0.825908\pi\)
0.0233243 + 0.999728i \(0.492575\pi\)
\(128\) 13.2006 + 13.2006i 1.16678 + 1.16678i
\(129\) −1.75960 3.04772i −0.154924 0.268337i
\(130\) 7.07344 24.6763i 0.620381 2.16425i
\(131\) 15.7531 + 9.09505i 1.37635 + 0.794638i 0.991719 0.128431i \(-0.0409939\pi\)
0.384635 + 0.923069i \(0.374327\pi\)
\(132\) 1.48533 5.54333i 0.129282 0.482485i
\(133\) −0.792097 + 18.2752i −0.0686835 + 1.58466i
\(134\) 11.9094 + 6.87588i 1.02881 + 0.593986i
\(135\) 0.746344 + 2.78539i 0.0642350 + 0.239728i
\(136\) 27.6477 + 27.6477i 2.37077 + 2.37077i
\(137\) −6.88676 6.88676i −0.588376 0.588376i 0.348815 0.937191i \(-0.386584\pi\)
−0.937191 + 0.348815i \(0.886584\pi\)
\(138\) 1.45571 + 5.43279i 0.123918 + 0.462469i
\(139\) −13.6153 7.86079i −1.15483 0.666744i −0.204773 0.978809i \(-0.565646\pi\)
−0.950060 + 0.312066i \(0.898979\pi\)
\(140\) −14.4375 27.7127i −1.22019 2.34215i
\(141\) −0.223361 + 0.833593i −0.0188104 + 0.0702012i
\(142\) 14.4840 + 8.36236i 1.21547 + 0.701754i
\(143\) −4.41842 + 2.44968i −0.369487 + 0.204853i
\(144\) −2.29172 3.96937i −0.190977 0.330781i
\(145\) 15.2973 + 15.2973i 1.27037 + 1.27037i
\(146\) −17.9303 + 10.3521i −1.48393 + 0.856745i
\(147\) −6.97375 0.605660i −0.575185 0.0499540i
\(148\) 6.62347 6.62347i 0.544446 0.544446i
\(149\) 12.4375 + 3.33261i 1.01892 + 0.273018i 0.729351 0.684140i \(-0.239822\pi\)
0.289567 + 0.957158i \(0.406489\pi\)
\(150\) 5.78813 5.78813i 0.472599 0.472599i
\(151\) 0.904012 3.37382i 0.0735674 0.274557i −0.919337 0.393471i \(-0.871274\pi\)
0.992905 + 0.118913i \(0.0379410\pi\)
\(152\) 30.9810 17.8869i 2.51289 1.45082i
\(153\) 3.77833 + 6.54425i 0.305460 + 0.529072i
\(154\) −2.74956 + 8.73015i −0.221566 + 0.703496i
\(155\) 15.5163i 1.24630i
\(156\) −4.06916 + 14.1956i −0.325794 + 1.13656i
\(157\) 0.246511 0.142323i 0.0196737 0.0113586i −0.490131 0.871649i \(-0.663051\pi\)
0.509805 + 0.860290i \(0.329718\pi\)
\(158\) 0.526462 + 1.96478i 0.0418831 + 0.156310i
\(159\) 1.77268i 0.140582i
\(160\) −1.39548 + 2.41705i −0.110323 + 0.191084i
\(161\) −1.30639 5.88392i −0.102958 0.463718i
\(162\) −0.639011 2.38482i −0.0502055 0.187369i
\(163\) 3.54792 13.2410i 0.277895 1.03712i −0.675982 0.736918i \(-0.736280\pi\)
0.953877 0.300199i \(-0.0970531\pi\)
\(164\) −36.4789 9.77450i −2.84853 0.763260i
\(165\) −4.04055 −0.314556
\(166\) −7.52025 −0.583684
\(167\) −8.45838 2.26642i −0.654529 0.175381i −0.0837535 0.996487i \(-0.526691\pi\)
−0.570776 + 0.821106i \(0.693358\pi\)
\(168\) 6.32504 + 12.1409i 0.487988 + 0.936689i
\(169\) 11.4772 6.10516i 0.882864 0.469628i
\(170\) 26.9001 46.5924i 2.06315 3.57347i
\(171\) 6.67828 1.78944i 0.510701 0.136842i
\(172\) 7.20683 12.4826i 0.549515 0.951789i
\(173\) −5.42128 9.38993i −0.412172 0.713903i 0.582955 0.812504i \(-0.301896\pi\)
−0.995127 + 0.0986015i \(0.968563\pi\)
\(174\) −13.0974 13.0974i −0.992909 0.992909i
\(175\) −6.46539 + 5.92821i −0.488737 + 0.448131i
\(176\) 6.20344 1.66221i 0.467602 0.125294i
\(177\) −5.19948 + 1.39320i −0.390817 + 0.104719i
\(178\) 6.35414i 0.476263i
\(179\) −7.07802 4.08650i −0.529036 0.305439i 0.211588 0.977359i \(-0.432137\pi\)
−0.740624 + 0.671920i \(0.765470\pi\)
\(180\) −8.35136 + 8.35136i −0.622473 + 0.622473i
\(181\) 4.10394 0.305043 0.152522 0.988300i \(-0.451261\pi\)
0.152522 + 0.988300i \(0.451261\pi\)
\(182\) 7.46417 22.3382i 0.553281 1.65582i
\(183\) 4.18771 0.309565
\(184\) −8.33481 + 8.33481i −0.614450 + 0.614450i
\(185\) −5.71143 3.29749i −0.419912 0.242437i
\(186\) 13.2849i 0.974098i
\(187\) −10.2275 + 2.74046i −0.747911 + 0.200402i
\(188\) −3.41416 + 0.914821i −0.249003 + 0.0667201i
\(189\) 0.573466 + 2.58285i 0.0417135 + 0.187875i
\(190\) −34.8065 34.8065i −2.52513 2.52513i
\(191\) 2.20939 + 3.82678i 0.159866 + 0.276896i 0.934820 0.355121i \(-0.115560\pi\)
−0.774954 + 0.632017i \(0.782227\pi\)
\(192\) −3.38864 + 5.86930i −0.244554 + 0.423580i
\(193\) 10.8992 2.92042i 0.784538 0.210216i 0.155754 0.987796i \(-0.450219\pi\)
0.628785 + 0.777580i \(0.283553\pi\)
\(194\) −11.2381 + 19.4650i −0.806849 + 1.39750i
\(195\) 10.3956 + 0.180534i 0.744443 + 0.0129283i
\(196\) −12.1330 25.9761i −0.866640 1.85544i
\(197\) 4.66242 + 1.24929i 0.332183 + 0.0890083i 0.421056 0.907035i \(-0.361660\pi\)
−0.0888723 + 0.996043i \(0.528326\pi\)
\(198\) 3.45947 0.245854
\(199\) −11.5108 −0.815981 −0.407991 0.912986i \(-0.633770\pi\)
−0.407991 + 0.912986i \(0.633770\pi\)
\(200\) 16.5702 + 4.43998i 1.17169 + 0.313954i
\(201\) −1.44159 + 5.38010i −0.101682 + 0.379483i
\(202\) 11.4721 + 42.8143i 0.807171 + 3.01240i
\(203\) 13.4143 + 14.6299i 0.941503 + 1.02681i
\(204\) −15.4749 + 26.8034i −1.08346 + 1.87661i
\(205\) 26.5896i 1.85710i
\(206\) 3.91364 + 14.6059i 0.272676 + 1.01764i
\(207\) −1.97286 + 1.13903i −0.137124 + 0.0791683i
\(208\) −16.0346 + 3.99938i −1.11180 + 0.277307i
\(209\) 9.68766i 0.670109i
\(210\) 13.8838 12.7303i 0.958073 0.878472i
\(211\) −1.96759 3.40797i −0.135454 0.234614i 0.790317 0.612699i \(-0.209916\pi\)
−0.925771 + 0.378085i \(0.876583\pi\)
\(212\) −6.28766 + 3.63018i −0.431839 + 0.249322i
\(213\) −1.75325 + 6.54321i −0.120130 + 0.448333i
\(214\) 8.26461 8.26461i 0.564957 0.564957i
\(215\) −9.80237 2.62654i −0.668516 0.179128i
\(216\) 3.65872 3.65872i 0.248944 0.248944i
\(217\) 0.616459 14.2229i 0.0418480 0.965514i
\(218\) −37.6899 + 21.7603i −2.55268 + 1.47379i
\(219\) −5.92967 5.92967i −0.400690 0.400690i
\(220\) −8.27446 14.3318i −0.557864 0.966249i
\(221\) 26.4360 6.59372i 1.77828 0.443542i
\(222\) 4.89006 + 2.82328i 0.328199 + 0.189486i
\(223\) 2.38797 8.91203i 0.159910 0.596794i −0.838724 0.544556i \(-0.816698\pi\)
0.998635 0.0522375i \(-0.0166353\pi\)
\(224\) −1.37518 + 2.16012i −0.0918833 + 0.144329i
\(225\) 2.87125 + 1.65772i 0.191417 + 0.110515i
\(226\) −8.77286 32.7408i −0.583562 2.17788i
\(227\) 4.15727 + 4.15727i 0.275928 + 0.275928i 0.831481 0.555553i \(-0.187493\pi\)
−0.555553 + 0.831481i \(0.687493\pi\)
\(228\) 20.0233 + 20.0233i 1.32607 + 1.32607i
\(229\) 0.564755 + 2.10769i 0.0373201 + 0.139280i 0.982072 0.188505i \(-0.0603643\pi\)
−0.944752 + 0.327786i \(0.893698\pi\)
\(230\) 14.0460 + 8.10945i 0.926164 + 0.534721i
\(231\) −3.70373 0.160530i −0.243687 0.0105621i
\(232\) 10.0468 37.4951i 0.659603 2.46167i
\(233\) −10.5892 6.11367i −0.693720 0.400520i 0.111284 0.993789i \(-0.464504\pi\)
−0.805004 + 0.593269i \(0.797837\pi\)
\(234\) −8.90058 0.154571i −0.581849 0.0101046i
\(235\) 1.24429 + 2.15518i 0.0811688 + 0.140588i
\(236\) −15.5894 15.5894i −1.01479 1.01479i
\(237\) −0.713493 + 0.411935i −0.0463463 + 0.0267581i
\(238\) 26.5088 41.6397i 1.71831 2.69910i
\(239\) 7.97620 7.97620i 0.515938 0.515938i −0.400402 0.916340i \(-0.631130\pi\)
0.916340 + 0.400402i \(0.131130\pi\)
\(240\) −12.7667 3.42082i −0.824085 0.220813i
\(241\) −9.09005 + 9.09005i −0.585542 + 0.585542i −0.936421 0.350879i \(-0.885883\pi\)
0.350879 + 0.936421i \(0.385883\pi\)
\(242\) 5.77453 21.5508i 0.371201 1.38534i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 8.57584 + 14.8538i 0.549012 + 0.950916i
\(245\) −15.4548 + 12.9848i −0.987370 + 0.829571i
\(246\) 22.7657i 1.45149i
\(247\) 0.432850 24.9245i 0.0275416 1.58591i
\(248\) −24.1114 + 13.9207i −1.53107 + 0.883965i
\(249\) −0.788345 2.94214i −0.0499593 0.186451i
\(250\) 11.9934i 0.758528i
\(251\) 13.1084 22.7045i 0.827397 1.43309i −0.0726757 0.997356i \(-0.523154\pi\)
0.900073 0.435739i \(-0.143513\pi\)
\(252\) −7.98699 + 7.32339i −0.503133 + 0.461330i
\(253\) −0.826153 3.08324i −0.0519398 0.193842i
\(254\) 6.90841 25.7825i 0.433472 1.61774i
\(255\) 21.0482 + 5.63986i 1.31809 + 0.353182i
\(256\) −32.5370 −2.03356
\(257\) 6.43364 0.401319 0.200660 0.979661i \(-0.435691\pi\)
0.200660 + 0.979661i \(0.435691\pi\)
\(258\) 8.39268 + 2.24881i 0.522505 + 0.140005i
\(259\) −5.10431 3.24953i −0.317167 0.201916i
\(260\) 20.6483 + 37.2427i 1.28055 + 2.30970i
\(261\) 3.75108 6.49707i 0.232186 0.402158i
\(262\) −43.3802 + 11.6237i −2.68003 + 0.718113i
\(263\) −7.50610 + 13.0010i −0.462846 + 0.801673i −0.999101 0.0423827i \(-0.986505\pi\)
0.536255 + 0.844056i \(0.319838\pi\)
\(264\) 3.62503 + 6.27874i 0.223105 + 0.386430i
\(265\) 3.61457 + 3.61457i 0.222041 + 0.222041i
\(266\) −30.5222 33.2879i −1.87144 2.04101i
\(267\) −2.48593 + 0.666102i −0.152136 + 0.0407648i
\(268\) −22.0353 + 5.90435i −1.34602 + 0.360665i
\(269\) 22.1690i 1.35167i 0.737054 + 0.675834i \(0.236216\pi\)
−0.737054 + 0.675834i \(0.763784\pi\)
\(270\) −6.16574 3.55979i −0.375235 0.216642i
\(271\) −14.9017 + 14.9017i −0.905214 + 0.905214i −0.995881 0.0906673i \(-0.971100\pi\)
0.0906673 + 0.995881i \(0.471100\pi\)
\(272\) −34.6354 −2.10008
\(273\) 9.52183 + 0.578498i 0.576288 + 0.0350123i
\(274\) 24.0460 1.45267
\(275\) −3.28491 + 3.28491i −0.198088 + 0.198088i
\(276\) −8.08029 4.66515i −0.486376 0.280809i
\(277\) 9.86815i 0.592920i 0.955045 + 0.296460i \(0.0958061\pi\)
−0.955045 + 0.296460i \(0.904194\pi\)
\(278\) 37.4932 10.0463i 2.24869 0.602535i
\(279\) −5.19745 + 1.39265i −0.311163 + 0.0833760i
\(280\) 37.6529 + 11.8588i 2.25019 + 0.708697i
\(281\) 21.3933 + 21.3933i 1.27622 + 1.27622i 0.942768 + 0.333449i \(0.108212\pi\)
0.333449 + 0.942768i \(0.391788\pi\)
\(282\) −1.06535 1.84524i −0.0634407 0.109883i
\(283\) 10.7440 18.6092i 0.638666 1.10620i −0.347060 0.937843i \(-0.612820\pi\)
0.985726 0.168359i \(-0.0538466\pi\)
\(284\) −26.7991 + 7.18080i −1.59023 + 0.426102i
\(285\) 9.96859 17.2661i 0.590488 1.02276i
\(286\) 3.43705 11.9904i 0.203237 0.709008i
\(287\) −1.05639 + 24.3731i −0.0623570 + 1.43870i
\(288\) 0.934879 + 0.250500i 0.0550883 + 0.0147609i
\(289\) 40.1030 2.35900
\(290\) −53.4123 −3.13648
\(291\) −8.79336 2.35617i −0.515476 0.138121i
\(292\) 8.88938 33.1756i 0.520212 1.94146i
\(293\) −0.259901 0.969962i −0.0151836 0.0566658i 0.957918 0.287041i \(-0.0926715\pi\)
−0.973102 + 0.230375i \(0.926005\pi\)
\(294\) 13.2322 11.1175i 0.771719 0.648385i
\(295\) −7.76120 + 13.4428i −0.451874 + 0.782670i
\(296\) 11.8336i 0.687812i
\(297\) 0.362655 + 1.35345i 0.0210434 + 0.0785350i
\(298\) −27.5316 + 15.8954i −1.59486 + 0.920795i
\(299\) 1.98778 + 7.96953i 0.114956 + 0.460890i
\(300\) 13.5791i 0.783989i
\(301\) −8.88089 2.79703i −0.511886 0.161218i
\(302\) 4.31182 + 7.46828i 0.248117 + 0.429751i
\(303\) −15.5476 + 8.97642i −0.893187 + 0.515682i
\(304\) −8.20179 + 30.6095i −0.470405 + 1.75557i
\(305\) 8.53895 8.53895i 0.488939 0.488939i
\(306\) −18.0213 4.82879i −1.03021 0.276043i
\(307\) −4.86151 + 4.86151i −0.277461 + 0.277461i −0.832095 0.554634i \(-0.812858\pi\)
0.554634 + 0.832095i \(0.312858\pi\)
\(308\) −7.01531 13.4658i −0.399734 0.767287i
\(309\) −5.30399 + 3.06226i −0.301734 + 0.174206i
\(310\) 27.0886 + 27.0886i 1.53853 + 1.53853i
\(311\) 6.85636 + 11.8756i 0.388789 + 0.673402i 0.992287 0.123963i \(-0.0395603\pi\)
−0.603498 + 0.797364i \(0.706227\pi\)
\(312\) −9.04599 16.3160i −0.512129 0.923711i
\(313\) −29.5010 17.0324i −1.66750 0.962730i −0.968981 0.247137i \(-0.920510\pi\)
−0.698517 0.715593i \(-0.746156\pi\)
\(314\) −0.181892 + 0.678830i −0.0102648 + 0.0383086i
\(315\) 6.43589 + 4.09724i 0.362621 + 0.230853i
\(316\) −2.92226 1.68717i −0.164390 0.0949106i
\(317\) −2.52285 9.41539i −0.141697 0.528821i −0.999880 0.0154772i \(-0.995073\pi\)
0.858183 0.513344i \(-0.171593\pi\)
\(318\) −3.09476 3.09476i −0.173545 0.173545i
\(319\) 7.43309 + 7.43309i 0.416173 + 0.416173i
\(320\) 5.05818 + 18.8774i 0.282761 + 1.05528i
\(321\) 4.09974 + 2.36698i 0.228825 + 0.132112i
\(322\) 12.5529 + 7.99149i 0.699547 + 0.445348i
\(323\) 13.5222 50.4655i 0.752394 2.80797i
\(324\) 3.54699 + 2.04786i 0.197055 + 0.113770i
\(325\) 8.59824 8.30470i 0.476945 0.460662i
\(326\) 16.9223 + 29.3103i 0.937241 + 1.62335i
\(327\) −12.4643 12.4643i −0.689276 0.689276i
\(328\) 41.3184 23.8552i 2.28143 1.31718i
\(329\) 1.05494 + 2.02496i 0.0581610 + 0.111640i
\(330\) 7.05403 7.05403i 0.388312 0.388312i
\(331\) −20.0124 5.36230i −1.09998 0.294739i −0.337223 0.941425i \(-0.609488\pi\)
−0.762756 + 0.646686i \(0.776154\pi\)
\(332\) 8.82134 8.82134i 0.484134 0.484134i
\(333\) −0.591926 + 2.20910i −0.0324374 + 0.121058i
\(334\) 18.7235 10.8100i 1.02450 0.591497i
\(335\) 8.03080 + 13.9098i 0.438769 + 0.759971i
\(336\) −11.5665 3.64288i −0.631006 0.198735i
\(337\) 26.8744i 1.46394i 0.681336 + 0.731971i \(0.261399\pi\)
−0.681336 + 0.731971i \(0.738601\pi\)
\(338\) −9.37862 + 30.6956i −0.510130 + 1.66962i
\(339\) 11.8895 6.86440i 0.645748 0.372823i
\(340\) 23.0992 + 86.2076i 1.25273 + 4.67526i
\(341\) 7.53954i 0.408289i
\(342\) −8.53499 + 14.7830i −0.461520 + 0.799376i
\(343\) −14.6824 + 11.2884i −0.792773 + 0.609517i
\(344\) 4.71286 + 17.5886i 0.254101 + 0.948316i
\(345\) −1.70022 + 6.34531i −0.0915368 + 0.341620i
\(346\) 25.8576 + 6.92851i 1.39011 + 0.372479i
\(347\) −6.16871 −0.331154 −0.165577 0.986197i \(-0.552949\pi\)
−0.165577 + 0.986197i \(0.552949\pi\)
\(348\) 30.7267 1.64712
\(349\) −20.8536 5.58771i −1.11627 0.299103i −0.346896 0.937904i \(-0.612764\pi\)
−0.769372 + 0.638801i \(0.779431\pi\)
\(350\) 0.937801 21.6369i 0.0501276 1.15654i
\(351\) −0.872572 3.49837i −0.0465744 0.186729i
\(352\) −0.678077 + 1.17446i −0.0361416 + 0.0625992i
\(353\) 12.7937 3.42805i 0.680938 0.182457i 0.0982609 0.995161i \(-0.468672\pi\)
0.582677 + 0.812704i \(0.302005\pi\)
\(354\) 6.64505 11.5096i 0.353181 0.611727i
\(355\) 9.76696 + 16.9169i 0.518376 + 0.897854i
\(356\) −7.45348 7.45348i −0.395034 0.395034i
\(357\) 19.0696 + 6.00596i 1.00927 + 0.317869i
\(358\) 19.4911 5.22264i 1.03014 0.276025i
\(359\) 4.76941 1.27796i 0.251720 0.0674482i −0.130753 0.991415i \(-0.541739\pi\)
0.382473 + 0.923967i \(0.375073\pi\)
\(360\) 14.9206i 0.786385i
\(361\) −24.9429 14.4008i −1.31278 0.757936i
\(362\) −7.16470 + 7.16470i −0.376568 + 0.376568i
\(363\) 9.03666 0.474302
\(364\) 17.4474 + 34.9585i 0.914494 + 1.83233i
\(365\) −24.1818 −1.26573
\(366\) −7.31096 + 7.31096i −0.382150 + 0.382150i
\(367\) 17.7483 + 10.2470i 0.926453 + 0.534888i 0.885688 0.464281i \(-0.153687\pi\)
0.0407648 + 0.999169i \(0.487021\pi\)
\(368\) 10.4414i 0.544295i
\(369\) 8.90661 2.38652i 0.463660 0.124237i
\(370\) 15.7279 4.21427i 0.817653 0.219090i
\(371\) 3.16966 + 3.45687i 0.164560 + 0.179472i
\(372\) −15.5834 15.5834i −0.807960 0.807960i
\(373\) −11.6214 20.1289i −0.601735 1.04224i −0.992558 0.121770i \(-0.961143\pi\)
0.390823 0.920466i \(-0.372190\pi\)
\(374\) 13.0710 22.6397i 0.675886 1.17067i
\(375\) −4.69216 + 1.25726i −0.242302 + 0.0649247i
\(376\) 2.23267 3.86710i 0.115141 0.199430i
\(377\) −18.7918 19.4561i −0.967829 1.00204i
\(378\) −5.51034 3.50801i −0.283421 0.180433i
\(379\) −20.6487 5.53282i −1.06066 0.284202i −0.314007 0.949421i \(-0.601671\pi\)
−0.746648 + 0.665219i \(0.768338\pi\)
\(380\) 81.6569 4.18891
\(381\) 10.8111 0.553869
\(382\) −10.5380 2.82365i −0.539171 0.144471i
\(383\) 2.74839 10.2571i 0.140436 0.524114i −0.859480 0.511169i \(-0.829213\pi\)
0.999916 0.0129453i \(-0.00412074\pi\)
\(384\) −4.83176 18.0324i −0.246570 0.920211i
\(385\) −7.87941 + 7.22476i −0.401572 + 0.368208i
\(386\) −13.9294 + 24.1264i −0.708986 + 1.22800i
\(387\) 3.51921i 0.178891i
\(388\) −9.65021 36.0151i −0.489915 1.82839i
\(389\) 14.3360 8.27689i 0.726864 0.419655i −0.0904098 0.995905i \(-0.528818\pi\)
0.817274 + 0.576250i \(0.195484\pi\)
\(390\) −18.4639 + 17.8335i −0.934956 + 0.903037i
\(391\) 17.2146i 0.870578i
\(392\) 34.0430 + 12.3662i 1.71943 + 0.624586i
\(393\) −9.09505 15.7531i −0.458785 0.794638i
\(394\) −10.3207 + 5.95867i −0.519951 + 0.300194i
\(395\) −0.614890 + 2.29480i −0.0309385 + 0.115464i
\(396\) −4.05800 + 4.05800i −0.203922 + 0.203922i
\(397\) −28.5741 7.65641i −1.43409 0.384264i −0.543632 0.839323i \(-0.682951\pi\)
−0.890461 + 0.455059i \(0.849618\pi\)
\(398\) 20.0957 20.0957i 1.00731 1.00731i
\(399\) 9.82358 15.4308i 0.491794 0.772504i
\(400\) −13.1602 + 7.59805i −0.658011 + 0.379903i
\(401\) 7.16742 + 7.16742i 0.357924 + 0.357924i 0.863047 0.505123i \(-0.168553\pi\)
−0.505123 + 0.863047i \(0.668553\pi\)
\(402\) −6.87588 11.9094i −0.342938 0.593986i
\(403\) −0.336871 + 19.3978i −0.0167807 + 0.966275i
\(404\) −63.6785 36.7648i −3.16813 1.82912i
\(405\) 0.746344 2.78539i 0.0370861 0.138407i
\(406\) −48.9599 2.12205i −2.42984 0.105316i
\(407\) −2.77523 1.60228i −0.137563 0.0794222i
\(408\) −10.1197 37.7674i −0.501002 1.86977i
\(409\) −2.06212 2.06212i −0.101965 0.101965i 0.654284 0.756249i \(-0.272970\pi\)
−0.756249 + 0.654284i \(0.772970\pi\)
\(410\) −46.4204 46.4204i −2.29254 2.29254i
\(411\) 2.52073 + 9.40750i 0.124338 + 0.464038i
\(412\) −21.7236 12.5421i −1.07025 0.617907i
\(413\) −7.64830 + 12.0139i −0.376348 + 0.591163i
\(414\) 1.45571 5.43279i 0.0715443 0.267007i
\(415\) −7.60664 4.39170i −0.373395 0.215580i
\(416\) 1.79704 2.99138i 0.0881073 0.146665i
\(417\) 7.86079 + 13.6153i 0.384945 + 0.666744i
\(418\) −16.9128 16.9128i −0.827233 0.827233i
\(419\) 8.98142 5.18542i 0.438771 0.253325i −0.264305 0.964439i \(-0.585143\pi\)
0.703076 + 0.711115i \(0.251809\pi\)
\(420\) −1.35310 + 31.2186i −0.0660245 + 1.52331i
\(421\) 26.7368 26.7368i 1.30307 1.30307i 0.376762 0.926310i \(-0.377038\pi\)
0.926310 0.376762i \(-0.122962\pi\)
\(422\) 9.38470 + 2.51462i 0.456840 + 0.122410i
\(423\) 0.610232 0.610232i 0.0296705 0.0296705i
\(424\) 2.37394 8.85966i 0.115289 0.430263i
\(425\) 21.6971 12.5268i 1.05246 0.607640i
\(426\) −8.36236 14.4840i −0.405158 0.701754i
\(427\) 8.16640 7.48790i 0.395200 0.362365i
\(428\) 19.3890i 0.937201i
\(429\) 5.05131 + 0.0877232i 0.243879 + 0.00423532i
\(430\) 21.6985 12.5276i 1.04640 0.604137i
\(431\) −6.33146 23.6293i −0.304976 1.13818i −0.932966 0.359964i \(-0.882789\pi\)
0.627991 0.778221i \(-0.283878\pi\)
\(432\) 4.58344i 0.220521i
\(433\) 8.76052 15.1737i 0.421004 0.729200i −0.575034 0.818129i \(-0.695011\pi\)
0.996038 + 0.0889293i \(0.0283445\pi\)
\(434\) 23.7543 + 25.9067i 1.14024 + 1.24356i
\(435\) −5.59919 20.8965i −0.268461 1.00191i
\(436\) 18.6856 69.7357i 0.894879 3.33974i
\(437\) 15.2136 + 4.07647i 0.727764 + 0.195004i
\(438\) 20.7042 0.989284
\(439\) 19.8929 0.949437 0.474719 0.880138i \(-0.342550\pi\)
0.474719 + 0.880138i \(0.342550\pi\)
\(440\) 20.1943 + 5.41104i 0.962724 + 0.257961i
\(441\) 5.73661 + 4.01139i 0.273172 + 0.191019i
\(442\) −34.6409 + 57.6636i −1.64770 + 2.74278i
\(443\) 7.68921 13.3181i 0.365325 0.632762i −0.623503 0.781821i \(-0.714291\pi\)
0.988828 + 0.149059i \(0.0476245\pi\)
\(444\) −9.04783 + 2.42436i −0.429391 + 0.115055i
\(445\) −3.71071 + 6.42714i −0.175905 + 0.304676i
\(446\) 11.3898 + 19.7277i 0.539322 + 0.934132i
\(447\) −9.10487 9.10487i −0.430645 0.430645i
\(448\) 3.88654 + 17.5047i 0.183622 + 0.827021i
\(449\) −3.38883 + 0.908034i −0.159929 + 0.0428528i −0.337895 0.941184i \(-0.609715\pi\)
0.177966 + 0.984037i \(0.443048\pi\)
\(450\) −7.90673 + 2.11860i −0.372727 + 0.0998719i
\(451\) 12.9201i 0.608385i
\(452\) 48.6959 + 28.1146i 2.29046 + 1.32240i
\(453\) −2.46981 + 2.46981i −0.116042 + 0.116042i
\(454\) −14.5156 −0.681252
\(455\) 20.5951 18.2359i 0.965512 0.854912i
\(456\) −35.7738 −1.67526
\(457\) −21.5661 + 21.5661i −1.00882 + 1.00882i −0.00885742 + 0.999961i \(0.502819\pi\)
−0.999961 + 0.00885742i \(0.997181\pi\)
\(458\) −4.66559 2.69368i −0.218009 0.125867i
\(459\) 7.55665i 0.352714i
\(460\) −25.9886 + 6.96362i −1.21172 + 0.324680i
\(461\) −19.6958 + 5.27746i −0.917323 + 0.245796i −0.686441 0.727186i \(-0.740828\pi\)
−0.230882 + 0.972982i \(0.574161\pi\)
\(462\) 6.74626 6.18576i 0.313865 0.287787i
\(463\) 7.72370 + 7.72370i 0.358951 + 0.358951i 0.863426 0.504475i \(-0.168314\pi\)
−0.504475 + 0.863426i \(0.668314\pi\)
\(464\) 17.1929 + 29.7789i 0.798158 + 1.38245i
\(465\) −7.75817 + 13.4376i −0.359777 + 0.623152i
\(466\) 29.1600 7.81340i 1.35081 0.361949i
\(467\) 17.0696 29.5655i 0.789888 1.36813i −0.136147 0.990689i \(-0.543472\pi\)
0.926035 0.377438i \(-0.123195\pi\)
\(468\) 10.6218 10.2592i 0.490993 0.474230i
\(469\) 6.80872 + 13.0693i 0.314398 + 0.603484i
\(470\) −5.93484 1.59023i −0.273754 0.0733521i
\(471\) −0.284646 −0.0131158
\(472\) 27.8522 1.28200
\(473\) −4.76306 1.27626i −0.219006 0.0586824i
\(474\) 0.526462 1.96478i 0.0241812 0.0902455i
\(475\) −5.93278 22.1414i −0.272215 1.01592i
\(476\) 17.7487 + 79.9390i 0.813510 + 3.66400i
\(477\) 0.886338 1.53518i 0.0405826 0.0702911i
\(478\) 27.8499i 1.27382i
\(479\) 4.49601 + 16.7793i 0.205428 + 0.766668i 0.989319 + 0.145769i \(0.0465655\pi\)
−0.783891 + 0.620899i \(0.786768\pi\)
\(480\) 2.41705 1.39548i 0.110323 0.0636947i
\(481\) 7.06857 + 4.24638i 0.322299 + 0.193618i
\(482\) 31.7390i 1.44567i
\(483\) −1.81059 + 5.74882i −0.0823846 + 0.261580i
\(484\) 18.5058 + 32.0530i 0.841172 + 1.45695i
\(485\) −22.7344 + 13.1257i −1.03232 + 0.596009i
\(486\) −0.639011 + 2.38482i −0.0289861 + 0.108178i
\(487\) 9.01723 9.01723i 0.408610 0.408610i −0.472644 0.881254i \(-0.656700\pi\)
0.881254 + 0.472644i \(0.156700\pi\)
\(488\) −20.9298 5.60812i −0.947447 0.253868i
\(489\) −9.69311 + 9.69311i −0.438337 + 0.438337i
\(490\) 4.31205 49.6502i 0.194799 2.24297i
\(491\) −16.0173 + 9.24760i −0.722851 + 0.417339i −0.815801 0.578332i \(-0.803704\pi\)
0.0929498 + 0.995671i \(0.470370\pi\)
\(492\) 26.7044 + 26.7044i 1.20393 + 1.20393i
\(493\) −28.3456 49.0961i −1.27662 2.21118i
\(494\) 42.7579 + 44.2692i 1.92377 + 1.99177i
\(495\) 3.49922 + 2.02027i 0.157278 + 0.0908046i
\(496\) 6.38314 23.8222i 0.286612 1.06965i
\(497\) 8.28069 + 15.8947i 0.371440 + 0.712976i
\(498\) 6.51273 + 3.76012i 0.291842 + 0.168495i
\(499\) 9.65516 + 36.0336i 0.432224 + 1.61308i 0.747622 + 0.664124i \(0.231195\pi\)
−0.315398 + 0.948960i \(0.602138\pi\)
\(500\) −14.0684 14.0684i −0.629157 0.629157i
\(501\) 6.19197 + 6.19197i 0.276637 + 0.276637i
\(502\) 16.7529 + 62.5226i 0.747718 + 2.79052i
\(503\) 12.6061 + 7.27816i 0.562080 + 0.324517i 0.753980 0.656897i \(-0.228132\pi\)
−0.191900 + 0.981415i \(0.561465\pi\)
\(504\) 0.592791 13.6768i 0.0264050 0.609214i
\(505\) −13.3990 + 50.0057i −0.596247 + 2.22522i
\(506\) 6.82507 + 3.94046i 0.303411 + 0.175175i
\(507\) −12.9922 0.451391i −0.577002 0.0200470i
\(508\) 22.1396 + 38.3468i 0.982284 + 1.70137i
\(509\) 0.381529 + 0.381529i 0.0169110 + 0.0169110i 0.715512 0.698601i \(-0.246194\pi\)
−0.698601 + 0.715512i \(0.746194\pi\)
\(510\) −46.5924 + 26.9001i −2.06315 + 1.19116i
\(511\) −22.1660 0.960734i −0.980566 0.0425004i
\(512\) 30.4022 30.4022i 1.34360 1.34360i
\(513\) −6.67828 1.78944i −0.294853 0.0790057i
\(514\) −11.2319 + 11.2319i −0.495419 + 0.495419i
\(515\) −4.57100 + 17.0592i −0.201422 + 0.751718i
\(516\) −12.4826 + 7.20683i −0.549515 + 0.317263i
\(517\) 0.604614 + 1.04722i 0.0265909 + 0.0460567i
\(518\) 14.5842 3.23811i 0.640794 0.142274i
\(519\) 10.8426i 0.475935i
\(520\) −51.7143 14.8239i −2.26782 0.650070i
\(521\) −30.2442 + 17.4615i −1.32502 + 0.765003i −0.984525 0.175242i \(-0.943929\pi\)
−0.340499 + 0.940245i \(0.610596\pi\)
\(522\) 4.79397 + 17.8913i 0.209826 + 0.783082i
\(523\) 21.0562i 0.920725i −0.887731 0.460362i \(-0.847719\pi\)
0.887731 0.460362i \(-0.152281\pi\)
\(524\) 37.2507 64.5201i 1.62730 2.81857i
\(525\) 8.56330 1.90129i 0.373733 0.0829791i
\(526\) −9.59297 35.8014i −0.418273 1.56102i
\(527\) −10.5238 + 39.2754i −0.458424 + 1.71086i
\(528\) −6.20344 1.66221i −0.269970 0.0723383i
\(529\) 17.8104 0.774366
\(530\) −12.6207 −0.548209
\(531\) 5.19948 + 1.39320i 0.225638 + 0.0604596i
\(532\) 74.8500 + 3.24420i 3.24516 + 0.140654i
\(533\) 0.577279 33.2411i 0.0250047 1.43983i
\(534\) 3.17707 5.50285i 0.137485 0.238131i
\(535\) 13.1860 3.53317i 0.570078 0.152752i
\(536\) 14.4099 24.9586i 0.622412 1.07805i
\(537\) 4.08650 + 7.07802i 0.176345 + 0.305439i
\(538\) −38.7029 38.7029i −1.66860 1.66860i
\(539\) −7.50962 + 6.30945i −0.323462 + 0.271767i
\(540\) 11.4082 3.05681i 0.490929 0.131544i
\(541\) −30.9919 + 8.30427i −1.33245 + 0.357028i −0.853627 0.520884i \(-0.825602\pi\)
−0.478821 + 0.877913i \(0.658936\pi\)
\(542\) 52.0311i 2.23493i
\(543\) −3.55412 2.05197i −0.152522 0.0880584i
\(544\) 5.17161 5.17161i 0.221731 0.221731i
\(545\) −50.8305 −2.17734
\(546\) −17.6333 + 15.6134i −0.754634 + 0.668191i
\(547\) 12.5039 0.534630 0.267315 0.963609i \(-0.413864\pi\)
0.267315 + 0.963609i \(0.413864\pi\)
\(548\) −28.2062 + 28.2062i −1.20491 + 1.20491i
\(549\) −3.62667 2.09386i −0.154782 0.0893636i
\(550\) 11.4697i 0.489068i
\(551\) −50.1016 + 13.4247i −2.13440 + 0.571911i
\(552\) 11.3856 3.05075i 0.484602 0.129849i
\(553\) −0.654805 + 2.07908i −0.0278451 + 0.0884114i
\(554\) −17.2279 17.2279i −0.731944 0.731944i
\(555\) 3.29749 + 5.71143i 0.139971 + 0.242437i
\(556\) −32.1955 + 55.7643i −1.36540 + 2.36493i
\(557\) −30.4076 + 8.14769i −1.28841 + 0.345229i −0.837057 0.547116i \(-0.815726\pi\)
−0.451354 + 0.892345i \(0.649059\pi\)
\(558\) 6.64246 11.5051i 0.281198 0.487049i
\(559\) 12.1974 + 3.49639i 0.515897 + 0.147882i
\(560\) −31.0127 + 16.1567i −1.31053 + 0.682746i
\(561\) 10.2275 + 2.74046i 0.431807 + 0.115702i
\(562\) −74.6973 −3.15092
\(563\) 3.71449 0.156547 0.0782736 0.996932i \(-0.475059\pi\)
0.0782736 + 0.996932i \(0.475059\pi\)
\(564\) 3.41416 + 0.914821i 0.143762 + 0.0385209i
\(565\) 10.2464 38.2401i 0.431069 1.60877i
\(566\) 13.7311 + 51.2452i 0.577161 + 2.15399i
\(567\) 0.794791 2.52355i 0.0333781 0.105979i
\(568\) 17.5251 30.3544i 0.735337 1.27364i
\(569\) 28.7690i 1.20606i −0.797718 0.603030i \(-0.793960\pi\)
0.797718 0.603030i \(-0.206040\pi\)
\(570\) 12.7401 + 47.5466i 0.533623 + 1.99151i
\(571\) 38.1385 22.0193i 1.59605 0.921478i 0.603808 0.797130i \(-0.293649\pi\)
0.992239 0.124348i \(-0.0396839\pi\)
\(572\) 10.0332 + 18.0966i 0.419509 + 0.756656i
\(573\) 4.41878i 0.184597i
\(574\) −40.7065 44.3951i −1.69906 1.85301i
\(575\) 3.77640 + 6.54091i 0.157487 + 0.272775i
\(576\) 5.86930 3.38864i 0.244554 0.141193i
\(577\) 5.37814 20.0715i 0.223895 0.835587i −0.758950 0.651149i \(-0.774287\pi\)
0.982844 0.184437i \(-0.0590462\pi\)
\(578\) −70.0123 + 70.0123i −2.91213 + 2.91213i
\(579\) −10.8992 2.92042i −0.452953 0.121368i
\(580\) 62.6533 62.6533i 2.60154 2.60154i
\(581\) −6.79808 4.32782i −0.282032 0.179548i
\(582\) 19.4650 11.2381i 0.806849 0.465835i
\(583\) 1.75635 + 1.75635i 0.0727407 + 0.0727407i
\(584\) 21.6950 + 37.5769i 0.897746 + 1.55494i
\(585\) −8.91257 5.35414i −0.368489 0.221366i
\(586\) 2.14711 + 1.23963i 0.0886962 + 0.0512088i
\(587\) −11.1326 + 41.5473i −0.459491 + 1.71484i 0.215049 + 0.976603i \(0.431009\pi\)
−0.674540 + 0.738239i \(0.735658\pi\)
\(588\) −2.48061 + 28.5625i −0.102299 + 1.17790i
\(589\) 32.2180 + 18.6011i 1.32752 + 0.766444i
\(590\) −9.91899 37.0182i −0.408358 1.52401i
\(591\) −3.41313 3.41313i −0.140397 0.140397i
\(592\) −7.41221 7.41221i −0.304640 0.304640i
\(593\) −0.460561 1.71884i −0.0189130 0.0705842i 0.955824 0.293938i \(-0.0949660\pi\)
−0.974737 + 0.223354i \(0.928299\pi\)
\(594\) −2.99599 1.72974i −0.122927 0.0709719i
\(595\) 51.1303 26.6374i 2.09614 1.09203i
\(596\) 13.6494 50.9403i 0.559102 2.08660i
\(597\) 9.96867 + 5.75542i 0.407991 + 0.235553i
\(598\) −17.3836 10.4430i −0.710867 0.427047i
\(599\) 8.48260 + 14.6923i 0.346590 + 0.600311i 0.985641 0.168853i \(-0.0540063\pi\)
−0.639052 + 0.769164i \(0.720673\pi\)
\(600\) −12.1303 12.1303i −0.495216 0.495216i
\(601\) 30.5871 17.6595i 1.24767 0.720345i 0.277029 0.960862i \(-0.410650\pi\)
0.970645 + 0.240517i \(0.0773170\pi\)
\(602\) 20.3875 10.6213i 0.830931 0.432891i
\(603\) 3.93850 3.93850i 0.160388 0.160388i
\(604\) −13.8182 3.70257i −0.562254 0.150656i
\(605\) 18.4262 18.4262i 0.749131 0.749131i
\(606\) 11.4721 42.8143i 0.466021 1.73921i
\(607\) −17.5660 + 10.1417i −0.712980 + 0.411639i −0.812164 0.583430i \(-0.801710\pi\)
0.0991833 + 0.995069i \(0.468377\pi\)
\(608\) −3.34582 5.79513i −0.135691 0.235024i
\(609\) −4.30224 19.3770i −0.174335 0.785196i
\(610\) 29.8148i 1.20717i
\(611\) −1.50877 2.72132i −0.0610382 0.110093i
\(612\) 26.8034 15.4749i 1.08346 0.625537i
\(613\) −6.42633 23.9834i −0.259557 0.968680i −0.965498 0.260410i \(-0.916142\pi\)
0.705941 0.708270i \(-0.250524\pi\)
\(614\) 16.9745i 0.685037i
\(615\) 13.2948 23.0273i 0.536098 0.928548i
\(616\) 18.2959 + 5.76228i 0.737163 + 0.232169i
\(617\) 7.80877 + 29.1427i 0.314369 + 1.17324i 0.924575 + 0.380999i \(0.124420\pi\)
−0.610206 + 0.792243i \(0.708913\pi\)
\(618\) 3.91364 14.6059i 0.157430 0.587535i
\(619\) −38.9926 10.4480i −1.56724 0.419942i −0.632296 0.774727i \(-0.717887\pi\)
−0.934948 + 0.354785i \(0.884554\pi\)
\(620\) −63.5505 −2.55225
\(621\) 2.27807 0.0914157
\(622\) −32.7024 8.76259i −1.31125 0.351348i
\(623\) −3.65674 + 5.74395i −0.146504 + 0.230127i
\(624\) 15.8860 + 4.55373i 0.635951 + 0.182295i
\(625\) −15.2925 + 26.4874i −0.611701 + 1.05950i
\(626\) 81.2387 21.7678i 3.24695 0.870018i
\(627\) 4.84383 8.38976i 0.193444 0.335055i
\(628\) −0.582914 1.00964i −0.0232608 0.0402889i
\(629\) 12.2204 + 12.2204i 0.487260 + 0.487260i
\(630\) −18.3889 + 4.08284i −0.732630 + 0.162664i
\(631\) 11.8790 3.18298i 0.472897 0.126712i −0.0144963 0.999895i \(-0.504614\pi\)
0.487393 + 0.873183i \(0.337948\pi\)
\(632\) 4.11762 1.10331i 0.163790 0.0438875i
\(633\) 3.93518i 0.156409i
\(634\) 20.8419 + 12.0331i 0.827738 + 0.477895i
\(635\) 22.0443 22.0443i 0.874803 0.874803i
\(636\) 7.26037 0.287892
\(637\) 19.6028 15.8975i 0.776690 0.629883i
\(638\) −25.9535 −1.02751
\(639\) 4.78996 4.78996i 0.189488 0.189488i
\(640\) −46.6211 26.9167i −1.84286 1.06398i
\(641\) 10.9869i 0.433956i −0.976176 0.216978i \(-0.930380\pi\)
0.976176 0.216978i \(-0.0696200\pi\)
\(642\) −11.2897 + 3.02506i −0.445568 + 0.119389i
\(643\) −5.20127 + 1.39368i −0.205118 + 0.0549612i −0.359915 0.932985i \(-0.617194\pi\)
0.154797 + 0.987946i \(0.450528\pi\)
\(644\) −24.0988 + 5.35061i −0.949627 + 0.210844i
\(645\) 7.17583 + 7.17583i 0.282548 + 0.282548i
\(646\) 64.4960 + 111.710i 2.53756 + 4.39518i
\(647\) −19.1619 + 33.1894i −0.753333 + 1.30481i 0.192866 + 0.981225i \(0.438222\pi\)
−0.946199 + 0.323586i \(0.895112\pi\)
\(648\) −4.99790 + 1.33918i −0.196336 + 0.0526081i
\(649\) −3.77124 + 6.53198i −0.148034 + 0.256402i
\(650\) −0.512472 + 29.5093i −0.0201008 + 1.15745i
\(651\) −7.64532 + 12.0092i −0.299644 + 0.470677i
\(652\) −54.2315 14.5313i −2.12387 0.569089i
\(653\) 7.74794 0.303200 0.151600 0.988442i \(-0.451557\pi\)
0.151600 + 0.988442i \(0.451557\pi\)
\(654\) 43.5205 1.70179
\(655\) −50.6666 13.5761i −1.97971 0.530461i
\(656\) −10.9385 + 40.8229i −0.427075 + 1.59387i
\(657\) 2.17041 + 8.10009i 0.0846758 + 0.316014i
\(658\) −5.37693 1.69346i −0.209615 0.0660180i
\(659\) 1.59593 2.76423i 0.0621686 0.107679i −0.833266 0.552872i \(-0.813532\pi\)
0.895435 + 0.445193i \(0.146865\pi\)
\(660\) 16.5489i 0.644166i
\(661\) 1.11096 + 4.14615i 0.0432113 + 0.161267i 0.984160 0.177282i \(-0.0567306\pi\)
−0.940949 + 0.338549i \(0.890064\pi\)
\(662\) 44.2994 25.5763i 1.72174 0.994049i
\(663\) −26.1911 7.50767i −1.01718 0.291574i
\(664\) 15.7603i 0.611617i
\(665\) −11.4333 51.4948i −0.443364 1.99688i
\(666\) −2.82328 4.89006i −0.109400 0.189486i
\(667\) 14.8008 8.54522i 0.573087 0.330872i
\(668\) −9.28259 + 34.6431i −0.359154 + 1.34038i
\(669\) −6.52406 + 6.52406i −0.252235 + 0.252235i
\(670\) −38.3041 10.2635i −1.47982 0.396515i
\(671\) 4.14915 4.14915i 0.160176 0.160176i
\(672\) 2.27100 1.18313i 0.0876058 0.0456401i
\(673\) 11.6256 6.71205i 0.448134 0.258731i −0.258908 0.965902i \(-0.583362\pi\)
0.707042 + 0.707172i \(0.250029\pi\)
\(674\) −46.9176 46.9176i −1.80720 1.80720i
\(675\) −1.65772 2.87125i −0.0638057 0.110515i
\(676\) −25.0050 47.0075i −0.961731 1.80798i
\(677\) −19.3278 11.1589i −0.742830 0.428873i 0.0802677 0.996773i \(-0.474422\pi\)
−0.823097 + 0.567901i \(0.807756\pi\)
\(678\) −8.77286 + 32.7408i −0.336920 + 1.25740i
\(679\) −21.3608 + 11.1283i −0.819751 + 0.427067i
\(680\) −97.6443 56.3749i −3.74449 2.16188i
\(681\) −1.52167 5.67894i −0.0583104 0.217617i
\(682\) 13.1626 + 13.1626i 0.504022 + 0.504022i
\(683\) −5.15641 5.15641i −0.197304 0.197304i 0.601539 0.798843i \(-0.294554\pi\)
−0.798843 + 0.601539i \(0.794554\pi\)
\(684\) −7.32903 27.3523i −0.280233 1.04584i
\(685\) 24.3222 + 14.0424i 0.929305 + 0.536534i
\(686\) 5.92518 45.3401i 0.226225 1.73109i
\(687\) 0.564755 2.10769i 0.0215467 0.0804136i
\(688\) −13.9690 8.06503i −0.532565 0.307476i
\(689\) −4.44030 4.59725i −0.169162 0.175141i
\(690\) −8.10945 14.0460i −0.308721 0.534721i
\(691\) 7.98871 + 7.98871i 0.303905 + 0.303905i 0.842539 0.538635i \(-0.181060\pi\)
−0.538635 + 0.842539i \(0.681060\pi\)
\(692\) −38.4584 + 22.2040i −1.46197 + 0.844069i
\(693\) 3.12726 + 1.99089i 0.118795 + 0.0756275i
\(694\) 10.7694 10.7694i 0.408801 0.408801i
\(695\) 43.7908 + 11.7337i 1.66108 + 0.445085i
\(696\) −27.4483 + 27.4483i −1.04043 + 1.04043i
\(697\) 18.0341 67.3042i 0.683090 2.54933i
\(698\) 46.1615 26.6514i 1.74724 1.00877i
\(699\) 6.11367 + 10.5892i 0.231240 + 0.400520i
\(700\) 24.2803 + 26.4804i 0.917708 + 1.00086i
\(701\) 0.777837i 0.0293785i −0.999892 0.0146892i \(-0.995324\pi\)
0.999892 0.0146892i \(-0.00467590\pi\)
\(702\) 7.63085 + 4.58415i 0.288008 + 0.173018i
\(703\) 13.6938 7.90610i 0.516470 0.298184i
\(704\) 2.45782 + 9.17270i 0.0926325 + 0.345709i
\(705\) 2.48859i 0.0937256i
\(706\) −16.3506 + 28.3200i −0.615362 + 1.06584i
\(707\) −14.2688 + 45.3049i −0.536632 + 1.70387i
\(708\) 5.70613 + 21.2956i 0.214450 + 0.800337i
\(709\) 0.571859 2.13421i 0.0214766 0.0801518i −0.954356 0.298672i \(-0.903456\pi\)
0.975832 + 0.218520i \(0.0701230\pi\)
\(710\) −46.5849 12.4824i −1.74830 0.468456i
\(711\) 0.823870 0.0308975
\(712\) 13.3165 0.499055
\(713\) −11.8402 3.17256i −0.443417 0.118813i
\(714\) −43.7772 + 22.8066i −1.63832 + 0.853517i
\(715\) 10.4787 10.1210i 0.391882 0.378504i
\(716\) −16.7371 + 28.9896i −0.625496 + 1.08339i
\(717\) −10.8957 + 2.91949i −0.406907 + 0.109030i
\(718\) −6.09542 + 10.5576i −0.227479 + 0.394005i
\(719\) −6.15320 10.6577i −0.229476 0.397463i 0.728177 0.685389i \(-0.240368\pi\)
−0.957653 + 0.287926i \(0.907034\pi\)
\(720\) 9.34585 + 9.34585i 0.348299 + 0.348299i
\(721\) −4.86772 + 15.4555i −0.181283 + 0.575594i
\(722\) 68.6866 18.4045i 2.55625 0.684945i
\(723\) 12.4172 3.32719i 0.461802 0.123740i
\(724\) 16.8086i 0.624685i
\(725\) −21.5406 12.4365i −0.799999 0.461880i
\(726\) −15.7763 + 15.7763i −0.585514 + 0.585514i
\(727\) 46.3414 1.71871 0.859353 0.511383i \(-0.170867\pi\)
0.859353 + 0.511383i \(0.170867\pi\)
\(728\) −46.8145 15.6428i −1.73506 0.579759i
\(729\) −1.00000 −0.0370370
\(730\) 42.2168 42.2168i 1.56252 1.56252i
\(731\) 23.0306 + 13.2967i 0.851817 + 0.491797i
\(732\) 17.1517i 0.633944i
\(733\) 16.0476 4.29994i 0.592731 0.158822i 0.0500300 0.998748i \(-0.484068\pi\)
0.542701 + 0.839926i \(0.317402\pi\)
\(734\) −48.8744 + 13.0959i −1.80399 + 0.483377i
\(735\) 19.8767 3.51781i 0.733162 0.129756i
\(736\) 1.55906 + 1.55906i 0.0574678 + 0.0574678i
\(737\) 3.90224 + 6.75888i 0.143741 + 0.248966i
\(738\) −11.3829 + 19.7157i −0.419009 + 0.725744i
\(739\) −3.40979 + 0.913649i −0.125431 + 0.0336091i −0.320988 0.947083i \(-0.604015\pi\)
0.195557 + 0.980692i \(0.437348\pi\)
\(740\) −13.5056 + 23.3924i −0.496475 + 0.859920i
\(741\) −12.8371 + 21.3689i −0.471584 + 0.785005i
\(742\) −11.5687 0.501417i −0.424699 0.0184076i
\(743\) 42.9886 + 11.5188i 1.57710 + 0.422583i 0.938027 0.346563i \(-0.112651\pi\)
0.639073 + 0.769146i \(0.279318\pi\)
\(744\) 27.8414 1.02071
\(745\) −37.1305 −1.36036
\(746\) 55.4301 + 14.8525i 2.02944 + 0.543787i
\(747\) −0.788345 + 2.94214i −0.0288440 + 0.107647i
\(748\) 11.2241 + 41.8890i 0.410395 + 1.53161i
\(749\) 12.2271 2.71477i 0.446770 0.0991955i
\(750\) 5.99669 10.3866i 0.218968 0.379264i
\(751\) 52.0913i 1.90084i −0.310970 0.950420i \(-0.600654\pi\)
0.310970 0.950420i \(-0.399346\pi\)
\(752\) 1.02376 + 3.82072i 0.0373327 + 0.139327i
\(753\) −22.7045 + 13.1084i −0.827397 + 0.477698i
\(754\) 66.7736 + 1.15962i 2.43175 + 0.0422309i
\(755\) 10.0721i 0.366562i
\(756\) 10.5786 2.34875i 0.384741 0.0854233i
\(757\) 23.5702 + 40.8248i 0.856674 + 1.48380i 0.875083 + 0.483973i \(0.160807\pi\)
−0.0184085 + 0.999831i \(0.505860\pi\)
\(758\) 45.7081 26.3896i 1.66019 0.958512i
\(759\) −0.826153 + 3.08324i −0.0299875 + 0.111915i
\(760\) −72.9445 + 72.9445i −2.64598 + 2.64598i
\(761\) 29.1992 + 7.82391i 1.05847 + 0.283616i 0.745748 0.666228i \(-0.232092\pi\)
0.312723 + 0.949844i \(0.398759\pi\)
\(762\) −18.8741 + 18.8741i −0.683737 + 0.683737i
\(763\) −46.5933 2.01948i −1.68679 0.0731101i
\(764\) 15.6734 9.04903i 0.567043 0.327382i
\(765\) −15.4084 15.4084i −0.557091 0.557091i
\(766\) 13.1088 + 22.7052i 0.473641 + 0.820371i
\(767\) 9.99455 16.6371i 0.360882 0.600729i
\(768\) 28.1779 + 16.2685i 1.01678 + 0.587039i
\(769\) 1.17278 4.37689i 0.0422916 0.157835i −0.941551 0.336871i \(-0.890631\pi\)
0.983842 + 0.179037i \(0.0572980\pi\)
\(770\) 1.14290 26.3690i 0.0411874 0.950273i
\(771\) −5.57169 3.21682i −0.200660 0.115851i
\(772\) −11.9612 44.6398i −0.430493 1.60662i
\(773\) −1.58168 1.58168i −0.0568893 0.0568893i 0.678090 0.734979i \(-0.262808\pi\)
−0.734979 + 0.678090i \(0.762808\pi\)
\(774\) −6.14387 6.14387i −0.220837