Properties

Label 273.2.by.c.97.3
Level $273$
Weight $2$
Character 273.97
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.3
Character \(\chi\) \(=\) 273.97
Dual form 273.2.by.c.76.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281068 - 1.04896i) q^{2} +(0.866025 + 0.500000i) q^{3} +(0.710736 - 0.410344i) q^{4} +(1.02734 + 1.02734i) q^{5} +(0.281068 - 1.04896i) q^{6} +(-1.22381 - 2.34570i) q^{7} +(-2.16598 - 2.16598i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.281068 - 1.04896i) q^{2} +(0.866025 + 0.500000i) q^{3} +(0.710736 - 0.410344i) q^{4} +(1.02734 + 1.02734i) q^{5} +(0.281068 - 1.04896i) q^{6} +(-1.22381 - 2.34570i) q^{7} +(-2.16598 - 2.16598i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.788887 - 1.36639i) q^{10} +(0.972198 - 0.260500i) q^{11} +0.820687 q^{12} +(3.05530 - 1.91446i) q^{13} +(-2.11656 + 1.94303i) q^{14} +(0.376033 + 1.40338i) q^{15} +(-0.842549 + 1.45934i) q^{16} +(2.37035 + 4.10557i) q^{17} +(0.767891 - 0.767891i) q^{18} +(-0.391878 + 1.46251i) q^{19} +(1.15173 + 0.308606i) q^{20} +(0.112997 - 2.64334i) q^{21} +(-0.546507 - 0.946578i) q^{22} +(-0.337046 - 0.194594i) q^{23} +(-0.792804 - 2.95878i) q^{24} -2.88914i q^{25} +(-2.86693 - 2.66679i) q^{26} +1.00000i q^{27} +(-1.83235 - 1.16499i) q^{28} +(-4.30065 + 7.44895i) q^{29} +(1.36639 - 0.788887i) q^{30} +(-2.92542 - 2.92542i) q^{31} +(-4.14997 - 1.11198i) q^{32} +(0.972198 + 0.260500i) q^{33} +(3.64034 - 3.64034i) q^{34} +(1.15256 - 3.66710i) q^{35} +(0.710736 + 0.410344i) q^{36} +(9.77690 - 2.61971i) q^{37} +1.64425 q^{38} +(3.60320 - 0.130321i) q^{39} -4.45041i q^{40} +(-8.64616 + 2.31673i) q^{41} +(-2.80451 + 0.624427i) q^{42} +(-8.28885 + 4.78557i) q^{43} +(0.584082 - 0.584082i) q^{44} +(-0.376033 + 1.40338i) q^{45} +(-0.109388 + 0.408241i) q^{46} +(-4.78928 + 4.78928i) q^{47} +(-1.45934 + 0.842549i) q^{48} +(-4.00458 + 5.74137i) q^{49} +(-3.03058 + 0.812042i) q^{50} +4.74070i q^{51} +(1.38592 - 2.61440i) q^{52} +12.7329 q^{53} +(1.04896 - 0.281068i) q^{54} +(1.26640 + 0.731158i) q^{55} +(-2.42998 + 7.73148i) q^{56} +(-1.07063 + 1.07063i) q^{57} +(9.02241 + 2.41755i) q^{58} +(-0.889636 - 0.238377i) q^{59} +(0.843127 + 0.843127i) q^{60} +(-8.36449 + 4.82924i) q^{61} +(-2.24640 + 3.89088i) q^{62} +(1.41953 - 2.23270i) q^{63} +8.03588i q^{64} +(5.10564 + 1.17203i) q^{65} -1.09301i q^{66} +(1.71328 + 6.39405i) q^{67} +(3.36939 + 1.94532i) q^{68} +(-0.194594 - 0.337046i) q^{69} +(-4.17059 - 0.178284i) q^{70} +(-2.56663 - 0.687727i) q^{71} +(0.792804 - 2.95878i) q^{72} +(2.46596 - 2.46596i) q^{73} +(-5.49594 - 9.51925i) q^{74} +(1.44457 - 2.50206i) q^{75} +(0.321609 + 1.20026i) q^{76} +(-1.80084 - 1.96168i) q^{77} +(-1.14944 - 3.74297i) q^{78} +7.06532 q^{79} +(-2.36483 + 0.633653i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(4.86031 + 8.41830i) q^{82} +(-2.43414 - 2.43414i) q^{83} +(-1.00437 - 1.92508i) q^{84} +(-1.78266 + 6.65299i) q^{85} +(7.34959 + 7.34959i) q^{86} +(-7.44895 + 4.30065i) q^{87} +(-2.67000 - 1.54152i) q^{88} +(-2.79345 - 10.4253i) q^{89} +1.57777 q^{90} +(-8.22984 - 4.82387i) q^{91} -0.319401 q^{92} +(-1.07078 - 3.99619i) q^{93} +(6.36986 + 3.67764i) q^{94} +(-1.90509 + 1.09990i) q^{95} +(-3.03799 - 3.03799i) q^{96} +(-3.55710 + 13.2753i) q^{97} +(7.14802 + 2.58692i) q^{98} +(0.711699 + 0.711699i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} - 2q^{10} - 4q^{11} - 32q^{12} - 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} + 8q^{17} + 2q^{18} - 2q^{19} - 44q^{20} + 2q^{21} - 4q^{22} - 18q^{23} - 4q^{24} + 28q^{26} - 18q^{28} - 18q^{29} + 14q^{31} - 8q^{32} - 4q^{33} + 66q^{34} - 20q^{35} + 6q^{36} - 24q^{37} - 24q^{38} + 8q^{39} + 16q^{42} - 6q^{43} - 20q^{44} - 4q^{45} - 58q^{46} + 28q^{47} + 60q^{48} + 10q^{49} + 70q^{50} - 28q^{52} - 80q^{53} + 4q^{54} - 60q^{55} - 120q^{56} + 16q^{57} - 4q^{58} + 42q^{59} - 58q^{60} - 36q^{61} - 52q^{62} + 2q^{63} + 14q^{65} + 26q^{67} + 72q^{68} - 2q^{69} + 68q^{70} - 4q^{71} + 4q^{72} - 12q^{73} - 18q^{74} - 16q^{75} + 48q^{76} - 28q^{77} - 14q^{78} - 4q^{79} + 98q^{80} - 16q^{81} - 20q^{82} + 36q^{83} + 32q^{84} - 10q^{85} - 40q^{86} + 96q^{88} + 54q^{89} - 4q^{90} - 54q^{91} - 4q^{92} + 2q^{93} + 60q^{95} - 22q^{96} + 40q^{97} + 4q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.281068 1.04896i −0.198745 0.741726i −0.991266 0.131881i \(-0.957898\pi\)
0.792521 0.609845i \(-0.208768\pi\)
\(3\) 0.866025 + 0.500000i 0.500000 + 0.288675i
\(4\) 0.710736 0.410344i 0.355368 0.205172i
\(5\) 1.02734 + 1.02734i 0.459441 + 0.459441i 0.898472 0.439031i \(-0.144678\pi\)
−0.439031 + 0.898472i \(0.644678\pi\)
\(6\) 0.281068 1.04896i 0.114745 0.428235i
\(7\) −1.22381 2.34570i −0.462557 0.886590i
\(8\) −2.16598 2.16598i −0.765790 0.765790i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 0.788887 1.36639i 0.249468 0.432091i
\(11\) 0.972198 0.260500i 0.293129 0.0785436i −0.109258 0.994013i \(-0.534847\pi\)
0.402387 + 0.915470i \(0.368181\pi\)
\(12\) 0.820687 0.236912
\(13\) 3.05530 1.91446i 0.847387 0.530975i
\(14\) −2.11656 + 1.94303i −0.565676 + 0.519295i
\(15\) 0.376033 + 1.40338i 0.0970914 + 0.362350i
\(16\) −0.842549 + 1.45934i −0.210637 + 0.364834i
\(17\) 2.37035 + 4.10557i 0.574895 + 0.995747i 0.996053 + 0.0887595i \(0.0282903\pi\)
−0.421159 + 0.906987i \(0.638376\pi\)
\(18\) 0.767891 0.767891i 0.180994 0.180994i
\(19\) −0.391878 + 1.46251i −0.0899030 + 0.335522i −0.996197 0.0871243i \(-0.972232\pi\)
0.906294 + 0.422647i \(0.138899\pi\)
\(20\) 1.15173 + 0.308606i 0.257535 + 0.0690064i
\(21\) 0.112997 2.64334i 0.0246580 0.576823i
\(22\) −0.546507 0.946578i −0.116516 0.201811i
\(23\) −0.337046 0.194594i −0.0702790 0.0405756i 0.464449 0.885600i \(-0.346252\pi\)
−0.534728 + 0.845024i \(0.679586\pi\)
\(24\) −0.792804 2.95878i −0.161830 0.603959i
\(25\) 2.88914i 0.577827i
\(26\) −2.86693 2.66679i −0.562252 0.523000i
\(27\) 1.00000i 0.192450i
\(28\) −1.83235 1.16499i −0.346281 0.220162i
\(29\) −4.30065 + 7.44895i −0.798611 + 1.38324i 0.121909 + 0.992541i \(0.461098\pi\)
−0.920521 + 0.390694i \(0.872235\pi\)
\(30\) 1.36639 0.788887i 0.249468 0.144030i
\(31\) −2.92542 2.92542i −0.525420 0.525420i 0.393783 0.919203i \(-0.371166\pi\)
−0.919203 + 0.393783i \(0.871166\pi\)
\(32\) −4.14997 1.11198i −0.733618 0.196572i
\(33\) 0.972198 + 0.260500i 0.169238 + 0.0453472i
\(34\) 3.64034 3.64034i 0.624313 0.624313i
\(35\) 1.15256 3.66710i 0.194818 0.619854i
\(36\) 0.710736 + 0.410344i 0.118456 + 0.0683906i
\(37\) 9.77690 2.61971i 1.60731 0.430678i 0.660072 0.751202i \(-0.270526\pi\)
0.947240 + 0.320524i \(0.103859\pi\)
\(38\) 1.64425 0.266733
\(39\) 3.60320 0.130321i 0.576973 0.0208681i
\(40\) 4.45041i 0.703671i
\(41\) −8.64616 + 2.31673i −1.35030 + 0.361813i −0.860247 0.509878i \(-0.829690\pi\)
−0.490056 + 0.871691i \(0.663024\pi\)
\(42\) −2.80451 + 0.624427i −0.432745 + 0.0963512i
\(43\) −8.28885 + 4.78557i −1.26404 + 0.729792i −0.973853 0.227179i \(-0.927050\pi\)
−0.290184 + 0.956971i \(0.593717\pi\)
\(44\) 0.584082 0.584082i 0.0880537 0.0880537i
\(45\) −0.376033 + 1.40338i −0.0560558 + 0.209203i
\(46\) −0.109388 + 0.408241i −0.0161284 + 0.0601919i
\(47\) −4.78928 + 4.78928i −0.698588 + 0.698588i −0.964106 0.265518i \(-0.914457\pi\)
0.265518 + 0.964106i \(0.414457\pi\)
\(48\) −1.45934 + 0.842549i −0.210637 + 0.121611i
\(49\) −4.00458 + 5.74137i −0.572082 + 0.820196i
\(50\) −3.03058 + 0.812042i −0.428589 + 0.114840i
\(51\) 4.74070i 0.663831i
\(52\) 1.38592 2.61440i 0.192193 0.362552i
\(53\) 12.7329 1.74900 0.874498 0.485029i \(-0.161191\pi\)
0.874498 + 0.485029i \(0.161191\pi\)
\(54\) 1.04896 0.281068i 0.142745 0.0382484i
\(55\) 1.26640 + 0.731158i 0.170762 + 0.0985893i
\(56\) −2.42998 + 7.73148i −0.324720 + 1.03316i
\(57\) −1.07063 + 1.07063i −0.141808 + 0.141808i
\(58\) 9.02241 + 2.41755i 1.18470 + 0.317440i
\(59\) −0.889636 0.238377i −0.115821 0.0310341i 0.200443 0.979705i \(-0.435762\pi\)
−0.316264 + 0.948671i \(0.602428\pi\)
\(60\) 0.843127 + 0.843127i 0.108847 + 0.108847i
\(61\) −8.36449 + 4.82924i −1.07096 + 0.618321i −0.928445 0.371471i \(-0.878854\pi\)
−0.142519 + 0.989792i \(0.545520\pi\)
\(62\) −2.24640 + 3.89088i −0.285293 + 0.494142i
\(63\) 1.41953 2.23270i 0.178844 0.281294i
\(64\) 8.03588i 1.00449i
\(65\) 5.10564 + 1.17203i 0.633277 + 0.145373i
\(66\) 1.09301i 0.134541i
\(67\) 1.71328 + 6.39405i 0.209311 + 0.781158i 0.988092 + 0.153863i \(0.0491713\pi\)
−0.778782 + 0.627295i \(0.784162\pi\)
\(68\) 3.36939 + 1.94532i 0.408598 + 0.235904i
\(69\) −0.194594 0.337046i −0.0234263 0.0405756i
\(70\) −4.17059 0.178284i −0.498481 0.0213090i
\(71\) −2.56663 0.687727i −0.304603 0.0816182i 0.103280 0.994652i \(-0.467066\pi\)
−0.407883 + 0.913034i \(0.633733\pi\)
\(72\) 0.792804 2.95878i 0.0934328 0.348696i
\(73\) 2.46596 2.46596i 0.288619 0.288619i −0.547915 0.836534i \(-0.684578\pi\)
0.836534 + 0.547915i \(0.184578\pi\)
\(74\) −5.49594 9.51925i −0.638890 1.10659i
\(75\) 1.44457 2.50206i 0.166804 0.288914i
\(76\) 0.321609 + 1.20026i 0.0368911 + 0.137680i
\(77\) −1.80084 1.96168i −0.205225 0.223554i
\(78\) −1.14944 3.74297i −0.130149 0.423808i
\(79\) 7.06532 0.794911 0.397455 0.917622i \(-0.369893\pi\)
0.397455 + 0.917622i \(0.369893\pi\)
\(80\) −2.36483 + 0.633653i −0.264396 + 0.0708446i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 4.86031 + 8.41830i 0.536731 + 0.929646i
\(83\) −2.43414 2.43414i −0.267181 0.267181i 0.560782 0.827963i \(-0.310501\pi\)
−0.827963 + 0.560782i \(0.810501\pi\)
\(84\) −1.00437 1.92508i −0.109585 0.210044i
\(85\) −1.78266 + 6.65299i −0.193357 + 0.721618i
\(86\) 7.34959 + 7.34959i 0.792526 + 0.792526i
\(87\) −7.44895 + 4.30065i −0.798611 + 0.461078i
\(88\) −2.67000 1.54152i −0.284623 0.164327i
\(89\) −2.79345 10.4253i −0.296105 1.10508i −0.940336 0.340248i \(-0.889489\pi\)
0.644231 0.764831i \(-0.277178\pi\)
\(90\) 1.57777 0.166312
\(91\) −8.22984 4.82387i −0.862722 0.505679i
\(92\) −0.319401 −0.0332999
\(93\) −1.07078 3.99619i −0.111034 0.414386i
\(94\) 6.36986 + 3.67764i 0.657001 + 0.379320i
\(95\) −1.90509 + 1.09990i −0.195458 + 0.112848i
\(96\) −3.03799 3.03799i −0.310063 0.310063i
\(97\) −3.55710 + 13.2753i −0.361169 + 1.34790i 0.511372 + 0.859359i \(0.329137\pi\)
−0.872541 + 0.488541i \(0.837529\pi\)
\(98\) 7.14802 + 2.58692i 0.722059 + 0.261318i
\(99\) 0.711699 + 0.711699i 0.0715284 + 0.0715284i
\(100\) −1.18554 2.05341i −0.118554 0.205341i
\(101\) −1.97748 + 3.42510i −0.196767 + 0.340810i −0.947478 0.319820i \(-0.896378\pi\)
0.750711 + 0.660630i \(0.229711\pi\)
\(102\) 4.97280 1.33246i 0.492380 0.131933i
\(103\) 12.7709 1.25835 0.629176 0.777263i \(-0.283393\pi\)
0.629176 + 0.777263i \(0.283393\pi\)
\(104\) −10.7644 2.47103i −1.05554 0.242305i
\(105\) 2.83170 2.59953i 0.276346 0.253688i
\(106\) −3.57880 13.3563i −0.347604 1.29728i
\(107\) 1.79997 3.11764i 0.174010 0.301394i −0.765808 0.643069i \(-0.777661\pi\)
0.939818 + 0.341675i \(0.110994\pi\)
\(108\) 0.410344 + 0.710736i 0.0394853 + 0.0683906i
\(109\) −0.0623175 + 0.0623175i −0.00596893 + 0.00596893i −0.710085 0.704116i \(-0.751343\pi\)
0.704116 + 0.710085i \(0.251343\pi\)
\(110\) 0.411010 1.53391i 0.0391882 0.146252i
\(111\) 9.77690 + 2.61971i 0.927983 + 0.248652i
\(112\) 4.45428 + 0.190411i 0.420890 + 0.0179922i
\(113\) −1.09268 1.89259i −0.102791 0.178039i 0.810042 0.586371i \(-0.199444\pi\)
−0.912834 + 0.408332i \(0.866111\pi\)
\(114\) 1.42397 + 0.822127i 0.133367 + 0.0769993i
\(115\) −0.146347 0.546176i −0.0136470 0.0509312i
\(116\) 7.05898i 0.655410i
\(117\) 3.18562 + 1.68874i 0.294511 + 0.156124i
\(118\) 1.00019i 0.0920751i
\(119\) 6.72955 10.5846i 0.616897 0.970285i
\(120\) 2.22520 3.85416i 0.203132 0.351835i
\(121\) −8.64897 + 4.99349i −0.786270 + 0.453953i
\(122\) 7.41666 + 7.41666i 0.671473 + 0.671473i
\(123\) −8.64616 2.31673i −0.779598 0.208893i
\(124\) −3.27962 0.878773i −0.294519 0.0789161i
\(125\) 8.10484 8.10484i 0.724919 0.724919i
\(126\) −2.74099 0.861486i −0.244187 0.0767472i
\(127\) −12.3666 7.13987i −1.09736 0.633561i −0.161834 0.986818i \(-0.551741\pi\)
−0.935526 + 0.353257i \(0.885074\pi\)
\(128\) 0.129367 0.0346639i 0.0114346 0.00306389i
\(129\) −9.57113 −0.842691
\(130\) −0.205617 5.68503i −0.0180338 0.498610i
\(131\) 17.8888i 1.56295i −0.623934 0.781477i \(-0.714467\pi\)
0.623934 0.781477i \(-0.285533\pi\)
\(132\) 0.797871 0.213789i 0.0694457 0.0186079i
\(133\) 3.91018 0.870606i 0.339056 0.0754912i
\(134\) 6.22555 3.59432i 0.537805 0.310502i
\(135\) −1.02734 + 1.02734i −0.0884196 + 0.0884196i
\(136\) 3.75845 14.0267i 0.322284 1.20278i
\(137\) −0.654988 + 2.44445i −0.0559594 + 0.208843i −0.988245 0.152881i \(-0.951145\pi\)
0.932285 + 0.361724i \(0.117812\pi\)
\(138\) −0.298853 + 0.298853i −0.0254401 + 0.0254401i
\(139\) 8.86338 5.11727i 0.751782 0.434041i −0.0745556 0.997217i \(-0.523754\pi\)
0.826337 + 0.563176i \(0.190421\pi\)
\(140\) −0.685607 3.07929i −0.0579444 0.260247i
\(141\) −6.54227 + 1.75300i −0.550959 + 0.147629i
\(142\) 2.88559i 0.242153i
\(143\) 2.47164 2.65714i 0.206689 0.222201i
\(144\) −1.68510 −0.140425
\(145\) −12.0709 + 3.23438i −1.00243 + 0.268601i
\(146\) −3.27979 1.89359i −0.271437 0.156714i
\(147\) −6.33875 + 2.96989i −0.522811 + 0.244952i
\(148\) 5.87381 5.87381i 0.482825 0.482825i
\(149\) 8.14575 + 2.18265i 0.667326 + 0.178809i 0.576550 0.817062i \(-0.304399\pi\)
0.0907761 + 0.995871i \(0.471065\pi\)
\(150\) −3.03058 0.812042i −0.247446 0.0663030i
\(151\) −0.453678 0.453678i −0.0369198 0.0369198i 0.688406 0.725326i \(-0.258311\pi\)
−0.725326 + 0.688406i \(0.758311\pi\)
\(152\) 4.01656 2.31896i 0.325786 0.188093i
\(153\) −2.37035 + 4.10557i −0.191632 + 0.331916i
\(154\) −1.55156 + 2.44037i −0.125028 + 0.196651i
\(155\) 6.01081i 0.482800i
\(156\) 2.50744 1.57117i 0.200756 0.125794i
\(157\) 8.10530i 0.646874i −0.946250 0.323437i \(-0.895162\pi\)
0.946250 0.323437i \(-0.104838\pi\)
\(158\) −1.98583 7.41123i −0.157984 0.589606i
\(159\) 11.0270 + 6.36644i 0.874498 + 0.504892i
\(160\) −3.12105 5.40583i −0.246741 0.427368i
\(161\) −0.0439771 + 1.02875i −0.00346588 + 0.0810771i
\(162\) 1.04896 + 0.281068i 0.0824140 + 0.0220828i
\(163\) 3.55525 13.2684i 0.278469 1.03926i −0.675012 0.737807i \(-0.735862\pi\)
0.953481 0.301453i \(-0.0974717\pi\)
\(164\) −5.19448 + 5.19448i −0.405621 + 0.405621i
\(165\) 0.731158 + 1.26640i 0.0569206 + 0.0985893i
\(166\) −1.86915 + 3.23746i −0.145074 + 0.251276i
\(167\) −5.75214 21.4673i −0.445114 1.66119i −0.715636 0.698473i \(-0.753863\pi\)
0.270523 0.962714i \(-0.412804\pi\)
\(168\) −5.97016 + 5.48067i −0.460608 + 0.422843i
\(169\) 5.66969 11.6985i 0.436130 0.899884i
\(170\) 7.47975 0.573671
\(171\) −1.46251 + 0.391878i −0.111841 + 0.0299677i
\(172\) −3.92745 + 6.80255i −0.299466 + 0.518690i
\(173\) 6.33728 + 10.9765i 0.481815 + 0.834527i 0.999782 0.0208728i \(-0.00664451\pi\)
−0.517967 + 0.855400i \(0.673311\pi\)
\(174\) 6.60487 + 6.60487i 0.500714 + 0.500714i
\(175\) −6.77703 + 3.53575i −0.512295 + 0.267278i
\(176\) −0.438968 + 1.63825i −0.0330884 + 0.123488i
\(177\) −0.651259 0.651259i −0.0489516 0.0489516i
\(178\) −10.1505 + 5.86042i −0.760816 + 0.439257i
\(179\) 9.48849 + 5.47818i 0.709203 + 0.409459i 0.810766 0.585370i \(-0.199051\pi\)
−0.101563 + 0.994829i \(0.532384\pi\)
\(180\) 0.308606 + 1.15173i 0.0230021 + 0.0858451i
\(181\) 4.38394 0.325856 0.162928 0.986638i \(-0.447906\pi\)
0.162928 + 0.986638i \(0.447906\pi\)
\(182\) −2.74689 + 9.98860i −0.203613 + 0.740404i
\(183\) −9.65848 −0.713976
\(184\) 0.308549 + 1.15152i 0.0227466 + 0.0848913i
\(185\) 12.7356 + 7.35288i 0.936338 + 0.540595i
\(186\) −3.89088 + 2.24640i −0.285293 + 0.164714i
\(187\) 3.37395 + 3.37395i 0.246728 + 0.246728i
\(188\) −1.43866 + 5.36916i −0.104925 + 0.391586i
\(189\) 2.34570 1.22381i 0.170624 0.0890191i
\(190\) 1.68921 + 1.68921i 0.122548 + 0.122548i
\(191\) −4.92507 8.53047i −0.356366 0.617243i 0.630985 0.775795i \(-0.282651\pi\)
−0.987351 + 0.158552i \(0.949318\pi\)
\(192\) −4.01794 + 6.95928i −0.289970 + 0.502243i
\(193\) 12.2874 3.29240i 0.884465 0.236992i 0.212133 0.977241i \(-0.431959\pi\)
0.672333 + 0.740249i \(0.265292\pi\)
\(194\) 14.9250 1.07155
\(195\) 3.83560 + 3.56783i 0.274673 + 0.255498i
\(196\) −0.490261 + 5.72385i −0.0350187 + 0.408847i
\(197\) −0.404048 1.50793i −0.0287873 0.107436i 0.950037 0.312136i \(-0.101045\pi\)
−0.978825 + 0.204701i \(0.934378\pi\)
\(198\) 0.546507 0.946578i 0.0388385 0.0672703i
\(199\) 5.84499 + 10.1238i 0.414340 + 0.717659i 0.995359 0.0962317i \(-0.0306790\pi\)
−0.581019 + 0.813890i \(0.697346\pi\)
\(200\) −6.25781 + 6.25781i −0.442494 + 0.442494i
\(201\) −1.71328 + 6.39405i −0.120846 + 0.451002i
\(202\) 4.14860 + 1.11161i 0.291894 + 0.0782128i
\(203\) 22.7362 + 0.971923i 1.59577 + 0.0682156i
\(204\) 1.94532 + 3.36939i 0.136199 + 0.235904i
\(205\) −11.2626 6.50249i −0.786617 0.454153i
\(206\) −3.58948 13.3961i −0.250091 0.933351i
\(207\) 0.389187i 0.0270504i
\(208\) 0.219604 + 6.07174i 0.0152268 + 0.420999i
\(209\) 1.52393i 0.105413i
\(210\) −3.52269 2.23969i −0.243089 0.154553i
\(211\) −11.0809 + 19.1926i −0.762838 + 1.32127i 0.178544 + 0.983932i \(0.442861\pi\)
−0.941382 + 0.337343i \(0.890472\pi\)
\(212\) 9.04972 5.22486i 0.621537 0.358845i
\(213\) −1.87891 1.87891i −0.128740 0.128740i
\(214\) −3.77619 1.01183i −0.258135 0.0691670i
\(215\) −13.4319 3.59907i −0.916048 0.245454i
\(216\) 2.16598 2.16598i 0.147376 0.147376i
\(217\) −3.28198 + 10.4423i −0.222795 + 0.708869i
\(218\) 0.0828838 + 0.0478530i 0.00561360 + 0.00324101i
\(219\) 3.36856 0.902603i 0.227626 0.0609923i
\(220\) 1.20010 0.0809110
\(221\) 15.1021 + 8.00580i 1.01588 + 0.538528i
\(222\) 10.9919i 0.737727i
\(223\) −13.2842 + 3.55949i −0.889575 + 0.238361i −0.674534 0.738244i \(-0.735655\pi\)
−0.215041 + 0.976605i \(0.568989\pi\)
\(224\) 2.47041 + 11.0954i 0.165061 + 0.741344i
\(225\) 2.50206 1.44457i 0.166804 0.0963045i
\(226\) −1.67813 + 1.67813i −0.111627 + 0.111627i
\(227\) −1.04021 + 3.88213i −0.0690413 + 0.257666i −0.991816 0.127674i \(-0.959249\pi\)
0.922775 + 0.385339i \(0.125916\pi\)
\(228\) −0.321609 + 1.20026i −0.0212991 + 0.0794893i
\(229\) 1.36272 1.36272i 0.0900509 0.0900509i −0.660646 0.750697i \(-0.729718\pi\)
0.750697 + 0.660646i \(0.229718\pi\)
\(230\) −0.531783 + 0.307025i −0.0350647 + 0.0202446i
\(231\) −0.578733 2.59928i −0.0380778 0.171020i
\(232\) 25.4494 6.81915i 1.67084 0.447699i
\(233\) 1.13013i 0.0740376i 0.999315 + 0.0370188i \(0.0117861\pi\)
−0.999315 + 0.0370188i \(0.988214\pi\)
\(234\) 0.876040 3.81623i 0.0572685 0.249475i
\(235\) −9.84046 −0.641921
\(236\) −0.730113 + 0.195633i −0.0475263 + 0.0127346i
\(237\) 6.11875 + 3.53266i 0.397455 + 0.229471i
\(238\) −12.9942 4.08405i −0.842290 0.264729i
\(239\) 3.62833 3.62833i 0.234697 0.234697i −0.579953 0.814650i \(-0.696929\pi\)
0.814650 + 0.579953i \(0.196929\pi\)
\(240\) −2.36483 0.633653i −0.152649 0.0409021i
\(241\) −9.46780 2.53689i −0.609875 0.163415i −0.0593540 0.998237i \(-0.518904\pi\)
−0.550521 + 0.834822i \(0.685571\pi\)
\(242\) 7.66890 + 7.66890i 0.492976 + 0.492976i
\(243\) −0.866025 + 0.500000i −0.0555556 + 0.0320750i
\(244\) −3.96330 + 6.86463i −0.253724 + 0.439463i
\(245\) −10.0124 + 1.78428i −0.639671 + 0.113994i
\(246\) 9.72062i 0.619764i
\(247\) 1.60261 + 5.21863i 0.101972 + 0.332054i
\(248\) 12.6728i 0.804723i
\(249\) −0.890956 3.32509i −0.0564620 0.210719i
\(250\) −10.7797 6.22363i −0.681765 0.393617i
\(251\) −14.1820 24.5639i −0.895158 1.55046i −0.833610 0.552354i \(-0.813730\pi\)
−0.0615480 0.998104i \(-0.519604\pi\)
\(252\) 0.0927353 2.16935i 0.00584178 0.136656i
\(253\) −0.378367 0.101383i −0.0237878 0.00637391i
\(254\) −4.01357 + 14.9789i −0.251834 + 0.939857i
\(255\) −4.87032 + 4.87032i −0.304992 + 0.304992i
\(256\) 7.96316 + 13.7926i 0.497698 + 0.862037i
\(257\) −3.32083 + 5.75185i −0.207148 + 0.358790i −0.950815 0.309760i \(-0.899751\pi\)
0.743667 + 0.668550i \(0.233085\pi\)
\(258\) 2.69014 + 10.0397i 0.167481 + 0.625046i
\(259\) −18.1101 19.7276i −1.12531 1.22581i
\(260\) 4.10970 1.26206i 0.254873 0.0782698i
\(261\) −8.60131 −0.532408
\(262\) −18.7646 + 5.02797i −1.15928 + 0.310629i
\(263\) −6.24723 + 10.8205i −0.385221 + 0.667222i −0.991800 0.127801i \(-0.959208\pi\)
0.606579 + 0.795023i \(0.292541\pi\)
\(264\) −1.54152 2.67000i −0.0948743 0.164327i
\(265\) 13.0810 + 13.0810i 0.803561 + 0.803561i
\(266\) −2.01226 3.85692i −0.123379 0.236483i
\(267\) 2.79345 10.4253i 0.170956 0.638017i
\(268\) 3.84145 + 3.84145i 0.234654 + 0.234654i
\(269\) 7.27737 4.20159i 0.443709 0.256176i −0.261460 0.965214i \(-0.584204\pi\)
0.705170 + 0.709038i \(0.250871\pi\)
\(270\) 1.36639 + 0.788887i 0.0831560 + 0.0480101i
\(271\) 0.0939748 + 0.350719i 0.00570857 + 0.0213047i 0.968721 0.248151i \(-0.0798229\pi\)
−0.963013 + 0.269456i \(0.913156\pi\)
\(272\) −7.98855 −0.484377
\(273\) −4.71532 8.29251i −0.285384 0.501886i
\(274\) 2.74822 0.166026
\(275\) −0.752619 2.80881i −0.0453846 0.169378i
\(276\) −0.276610 0.159701i −0.0166499 0.00961285i
\(277\) 13.5251 7.80875i 0.812647 0.469182i −0.0352270 0.999379i \(-0.511215\pi\)
0.847874 + 0.530197i \(0.177882\pi\)
\(278\) −7.85901 7.85901i −0.471352 0.471352i
\(279\) 1.07078 3.99619i 0.0641057 0.239246i
\(280\) −10.4393 + 5.44645i −0.623867 + 0.325488i
\(281\) −0.848694 0.848694i −0.0506289 0.0506289i 0.681339 0.731968i \(-0.261398\pi\)
−0.731968 + 0.681339i \(0.761398\pi\)
\(282\) 3.67764 + 6.36986i 0.219000 + 0.379320i
\(283\) 11.9723 20.7366i 0.711678 1.23266i −0.252549 0.967584i \(-0.581269\pi\)
0.964227 0.265078i \(-0.0853976\pi\)
\(284\) −2.10640 + 0.564409i −0.124992 + 0.0334915i
\(285\) −2.19981 −0.130305
\(286\) −3.48193 1.84581i −0.205891 0.109145i
\(287\) 16.0156 + 17.4460i 0.945371 + 1.02981i
\(288\) −1.11198 4.14997i −0.0655241 0.244539i
\(289\) −2.73713 + 4.74084i −0.161007 + 0.278873i
\(290\) 6.78546 + 11.7528i 0.398456 + 0.690146i
\(291\) −9.71818 + 9.71818i −0.569690 + 0.569690i
\(292\) 0.740755 2.76454i 0.0433494 0.161782i
\(293\) −18.6502 4.99730i −1.08956 0.291946i −0.331051 0.943613i \(-0.607403\pi\)
−0.758505 + 0.651667i \(0.774070\pi\)
\(294\) 4.89690 + 5.81435i 0.285593 + 0.339100i
\(295\) −0.669066 1.15886i −0.0389545 0.0674712i
\(296\) −26.8508 15.5023i −1.56067 0.901055i
\(297\) 0.260500 + 0.972198i 0.0151157 + 0.0564127i
\(298\) 9.15803i 0.530510i
\(299\) −1.40232 + 0.0507193i −0.0810982 + 0.00293317i
\(300\) 2.37108i 0.136894i
\(301\) 21.3695 + 13.5865i 1.23172 + 0.783112i
\(302\) −0.348375 + 0.603403i −0.0200467 + 0.0347220i
\(303\) −3.42510 + 1.97748i −0.196767 + 0.113603i
\(304\) −1.80412 1.80412i −0.103473 0.103473i
\(305\) −13.5545 3.63191i −0.776127 0.207963i
\(306\) 4.97280 + 1.33246i 0.284276 + 0.0761715i
\(307\) 17.1942 17.1942i 0.981322 0.981322i −0.0185063 0.999829i \(-0.505891\pi\)
0.999829 + 0.0185063i \(0.00589106\pi\)
\(308\) −2.08488 0.655273i −0.118797 0.0373377i
\(309\) 11.0599 + 6.38543i 0.629176 + 0.363255i
\(310\) −6.30509 + 1.68944i −0.358105 + 0.0959539i
\(311\) 14.0638 0.797487 0.398744 0.917062i \(-0.369446\pi\)
0.398744 + 0.917062i \(0.369446\pi\)
\(312\) −8.08672 7.52218i −0.457820 0.425859i
\(313\) 18.8063i 1.06300i −0.847060 0.531498i \(-0.821629\pi\)
0.847060 0.531498i \(-0.178371\pi\)
\(314\) −8.50213 + 2.27814i −0.479803 + 0.128563i
\(315\) 3.75209 0.835406i 0.211406 0.0470698i
\(316\) 5.02158 2.89921i 0.282486 0.163093i
\(317\) −1.67207 + 1.67207i −0.0939128 + 0.0939128i −0.752502 0.658590i \(-0.771153\pi\)
0.658590 + 0.752502i \(0.271153\pi\)
\(318\) 3.57880 13.3563i 0.200689 0.748982i
\(319\) −2.24064 + 8.36218i −0.125452 + 0.468192i
\(320\) −8.25560 + 8.25560i −0.461502 + 0.461502i
\(321\) 3.11764 1.79997i 0.174010 0.100465i
\(322\) 1.09148 0.243019i 0.0608258 0.0135429i
\(323\) −6.93332 + 1.85778i −0.385780 + 0.103369i
\(324\) 0.820687i 0.0455937i
\(325\) −5.53113 8.82717i −0.306812 0.489643i
\(326\) −14.9172 −0.826190
\(327\) −0.0851272 + 0.0228098i −0.00470755 + 0.00126138i
\(328\) 23.7454 + 13.7094i 1.31112 + 0.756976i
\(329\) 17.0954 + 5.37302i 0.942497 + 0.296224i
\(330\) 1.12290 1.12290i 0.0618136 0.0618136i
\(331\) −33.2290 8.90368i −1.82643 0.489391i −0.828886 0.559418i \(-0.811025\pi\)
−0.997545 + 0.0700274i \(0.977691\pi\)
\(332\) −2.72886 0.731196i −0.149766 0.0401296i
\(333\) 7.15719 + 7.15719i 0.392212 + 0.392212i
\(334\) −20.9015 + 12.0675i −1.14368 + 0.660304i
\(335\) −4.80875 + 8.32901i −0.262730 + 0.455062i
\(336\) 3.76232 + 2.39204i 0.205251 + 0.130497i
\(337\) 3.43766i 0.187261i −0.995607 0.0936305i \(-0.970153\pi\)
0.995607 0.0936305i \(-0.0298472\pi\)
\(338\) −13.8648 2.65921i −0.754145 0.144642i
\(339\) 2.18537i 0.118693i
\(340\) 1.46301 + 5.46002i 0.0793428 + 0.296111i
\(341\) −3.60616 2.08201i −0.195284 0.112747i
\(342\) 0.822127 + 1.42397i 0.0444556 + 0.0769993i
\(343\) 18.3684 + 2.36717i 0.991798 + 0.127815i
\(344\) 28.3189 + 7.58803i 1.52685 + 0.409119i
\(345\) 0.146347 0.546176i 0.00787908 0.0294051i
\(346\) 9.73268 9.73268i 0.523232 0.523232i
\(347\) −9.46705 16.3974i −0.508218 0.880259i −0.999955 0.00951518i \(-0.996971\pi\)
0.491737 0.870744i \(-0.336362\pi\)
\(348\) −3.52949 + 6.11326i −0.189201 + 0.327705i
\(349\) 8.44404 + 31.5136i 0.451999 + 1.68688i 0.696764 + 0.717300i \(0.254623\pi\)
−0.244765 + 0.969582i \(0.578711\pi\)
\(350\) 5.61366 + 6.11504i 0.300063 + 0.326863i
\(351\) 1.91446 + 3.05530i 0.102186 + 0.163080i
\(352\) −4.32426 −0.230484
\(353\) 31.7685 8.51233i 1.69086 0.453066i 0.720251 0.693713i \(-0.244026\pi\)
0.970613 + 0.240647i \(0.0773597\pi\)
\(354\) −0.500096 + 0.866191i −0.0265798 + 0.0460375i
\(355\) −1.93028 3.34334i −0.102449 0.177446i
\(356\) −6.26336 6.26336i −0.331957 0.331957i
\(357\) 11.1202 5.80172i 0.588546 0.307060i
\(358\) 3.07948 11.4928i 0.162756 0.607412i
\(359\) −1.45164 1.45164i −0.0766146 0.0766146i 0.667761 0.744376i \(-0.267253\pi\)
−0.744376 + 0.667761i \(0.767253\pi\)
\(360\) 3.85416 2.22520i 0.203132 0.117278i
\(361\) 14.4691 + 8.35375i 0.761533 + 0.439671i
\(362\) −1.23218 4.59857i −0.0647622 0.241696i
\(363\) −9.98697 −0.524180
\(364\) −7.82869 0.0514311i −0.410335 0.00269572i
\(365\) 5.06677 0.265207
\(366\) 2.71469 + 10.1313i 0.141899 + 0.529574i
\(367\) 0.400843 + 0.231427i 0.0209238 + 0.0120804i 0.510425 0.859922i \(-0.329488\pi\)
−0.489502 + 0.872002i \(0.662821\pi\)
\(368\) 0.567956 0.327909i 0.0296067 0.0170935i
\(369\) −6.32943 6.32943i −0.329497 0.329497i
\(370\) 4.13331 15.4257i 0.214881 0.801946i
\(371\) −15.5826 29.8675i −0.809010 1.55064i
\(372\) −2.40085 2.40085i −0.124478 0.124478i
\(373\) 5.17460 + 8.96266i 0.267930 + 0.464069i 0.968327 0.249685i \(-0.0803269\pi\)
−0.700397 + 0.713754i \(0.746994\pi\)
\(374\) 2.59083 4.48744i 0.133968 0.232040i
\(375\) 11.0714 2.96658i 0.571726 0.153193i
\(376\) 20.7470 1.06994
\(377\) 1.12093 + 30.9922i 0.0577309 + 1.59618i
\(378\) −1.94303 2.11656i −0.0999384 0.108864i
\(379\) 3.99214 + 14.8989i 0.205062 + 0.765303i 0.989431 + 0.145007i \(0.0463206\pi\)
−0.784368 + 0.620295i \(0.787013\pi\)
\(380\) −0.902677 + 1.56348i −0.0463064 + 0.0802050i
\(381\) −7.13987 12.3666i −0.365787 0.633561i
\(382\) −7.56383 + 7.56383i −0.386999 + 0.386999i
\(383\) −8.40301 + 31.3605i −0.429374 + 1.60245i 0.324808 + 0.945780i \(0.394700\pi\)
−0.754182 + 0.656665i \(0.771966\pi\)
\(384\) 0.129367 + 0.0346639i 0.00660176 + 0.00176894i
\(385\) 0.165238 3.86539i 0.00842128 0.196999i
\(386\) −6.90717 11.9636i −0.351566 0.608930i
\(387\) −8.28885 4.78557i −0.421346 0.243264i
\(388\) 2.91927 + 10.8948i 0.148203 + 0.553102i
\(389\) 37.3829i 1.89539i −0.319179 0.947694i \(-0.603407\pi\)
0.319179 0.947694i \(-0.396593\pi\)
\(390\) 2.66444 5.02619i 0.134919 0.254511i
\(391\) 1.84502i 0.0933068i
\(392\) 21.1095 3.76186i 1.06619 0.190003i
\(393\) 8.94441 15.4922i 0.451186 0.781477i
\(394\) −1.46819 + 0.847660i −0.0739664 + 0.0427045i
\(395\) 7.25850 + 7.25850i 0.365215 + 0.365215i
\(396\) 0.797871 + 0.213789i 0.0400945 + 0.0107433i
\(397\) 34.9889 + 9.37524i 1.75604 + 0.470530i 0.985899 0.167343i \(-0.0535187\pi\)
0.770142 + 0.637873i \(0.220185\pi\)
\(398\) 8.97663 8.97663i 0.449958 0.449958i
\(399\) 3.82162 + 1.20112i 0.191320 + 0.0601315i
\(400\) 4.21622 + 2.43424i 0.210811 + 0.121712i
\(401\) −33.6403 + 9.01390i −1.67992 + 0.450133i −0.967758 0.251883i \(-0.918950\pi\)
−0.712161 + 0.702016i \(0.752284\pi\)
\(402\) 7.18864 0.358537
\(403\) −14.5386 3.33743i −0.724220 0.166249i
\(404\) 3.24579i 0.161484i
\(405\) −1.40338 + 0.376033i −0.0697343 + 0.0186853i
\(406\) −5.37089 24.1225i −0.266553 1.19718i
\(407\) 8.82265 5.09376i 0.437323 0.252488i
\(408\) 10.2683 10.2683i 0.508355 0.508355i
\(409\) −2.97572 + 11.1055i −0.147140 + 0.549134i 0.852511 + 0.522709i \(0.175079\pi\)
−0.999651 + 0.0264241i \(0.991588\pi\)
\(410\) −3.65528 + 13.6417i −0.180521 + 0.673715i
\(411\) −1.78946 + 1.78946i −0.0882676 + 0.0882676i
\(412\) 9.07672 5.24044i 0.447178 0.258178i
\(413\) 0.529585 + 2.37854i 0.0260592 + 0.117040i
\(414\) −0.408241 + 0.109388i −0.0200640 + 0.00537613i
\(415\) 5.00138i 0.245508i
\(416\) −14.8082 + 4.54751i −0.726034 + 0.222960i
\(417\) 10.2345 0.501188
\(418\) 1.59854 0.428328i 0.0781872 0.0209502i
\(419\) −25.3323 14.6256i −1.23756 0.714507i −0.268967 0.963149i \(-0.586682\pi\)
−0.968595 + 0.248642i \(0.920016\pi\)
\(420\) 0.945892 3.00955i 0.0461548 0.146851i
\(421\) −8.84750 + 8.84750i −0.431201 + 0.431201i −0.889037 0.457836i \(-0.848625\pi\)
0.457836 + 0.889037i \(0.348625\pi\)
\(422\) 23.2467 + 6.22894i 1.13163 + 0.303220i
\(423\) −6.54227 1.75300i −0.318096 0.0852336i
\(424\) −27.5792 27.5792i −1.33936 1.33936i
\(425\) 11.8615 6.84826i 0.575369 0.332190i
\(426\) −1.44279 + 2.49899i −0.0699036 + 0.121077i
\(427\) 21.5645 + 13.7105i 1.04358 + 0.663497i
\(428\) 2.95443i 0.142808i
\(429\) 3.46907 1.06533i 0.167488 0.0514346i
\(430\) 15.1011i 0.728239i
\(431\) −3.91058 14.5945i −0.188366 0.702992i −0.993885 0.110422i \(-0.964780\pi\)
0.805519 0.592570i \(-0.201887\pi\)
\(432\) −1.45934 0.842549i −0.0702124 0.0405372i
\(433\) −16.6099 28.7692i −0.798222 1.38256i −0.920773 0.390100i \(-0.872441\pi\)
0.122550 0.992462i \(-0.460893\pi\)
\(434\) 11.8760 + 0.507674i 0.570066 + 0.0243691i
\(435\) −12.0709 3.23438i −0.578754 0.155077i
\(436\) −0.0187197 + 0.0698628i −0.000896511 + 0.00334582i
\(437\) 0.416676 0.416676i 0.0199323 0.0199323i
\(438\) −1.89359 3.27979i −0.0904791 0.156714i
\(439\) 3.12262 5.40854i 0.149035 0.258135i −0.781836 0.623484i \(-0.785717\pi\)
0.930871 + 0.365348i \(0.119050\pi\)
\(440\) −1.15933 4.32668i −0.0552689 0.206266i
\(441\) −6.97446 0.597379i −0.332117 0.0284466i
\(442\) 4.15304 18.0916i 0.197540 0.860530i
\(443\) −17.0915 −0.812043 −0.406022 0.913863i \(-0.633084\pi\)
−0.406022 + 0.913863i \(0.633084\pi\)
\(444\) 8.02378 2.14997i 0.380792 0.102033i
\(445\) 7.84051 13.5802i 0.371676 0.643762i
\(446\) 7.46751 + 12.9341i 0.353597 + 0.612448i
\(447\) 5.96311 + 5.96311i 0.282045 + 0.282045i
\(448\) 18.8497 9.83440i 0.890566 0.464632i
\(449\) −9.60577 + 35.8492i −0.453324 + 1.69183i 0.239644 + 0.970861i \(0.422969\pi\)
−0.692968 + 0.720968i \(0.743697\pi\)
\(450\) −2.21854 2.21854i −0.104583 0.104583i
\(451\) −7.80227 + 4.50464i −0.367395 + 0.212115i
\(452\) −1.55322 0.896753i −0.0730574 0.0421797i
\(453\) −0.166058 0.619735i −0.00780207 0.0291177i
\(454\) 4.36456 0.204839
\(455\) −3.49911 13.4106i −0.164041 0.628700i
\(456\) 4.63793 0.217191
\(457\) 2.07001 + 7.72540i 0.0968312 + 0.361379i 0.997291 0.0735609i \(-0.0234363\pi\)
−0.900460 + 0.434940i \(0.856770\pi\)
\(458\) −1.81245 1.04642i −0.0846902 0.0488959i
\(459\) −4.10557 + 2.37035i −0.191632 + 0.110639i
\(460\) −0.328134 0.328134i −0.0152993 0.0152993i
\(461\) −2.87961 + 10.7469i −0.134117 + 0.500531i 0.865883 + 0.500247i \(0.166757\pi\)
−1.00000 0.000284720i \(0.999909\pi\)
\(462\) −2.56388 + 1.33764i −0.119282 + 0.0622327i
\(463\) 24.2312 + 24.2312i 1.12612 + 1.12612i 0.990803 + 0.135316i \(0.0432049\pi\)
0.135316 + 0.990803i \(0.456795\pi\)
\(464\) −7.24702 12.5522i −0.336435 0.582722i
\(465\) 3.00540 5.20551i 0.139372 0.241400i
\(466\) 1.18546 0.317644i 0.0549156 0.0147146i
\(467\) −10.5574 −0.488538 −0.244269 0.969707i \(-0.578548\pi\)
−0.244269 + 0.969707i \(0.578548\pi\)
\(468\) 2.95710 0.106953i 0.136692 0.00494389i
\(469\) 12.9018 11.8439i 0.595748 0.546902i
\(470\) 2.76583 + 10.3222i 0.127578 + 0.476129i
\(471\) 4.05265 7.01940i 0.186736 0.323437i
\(472\) 1.41061 + 2.44325i 0.0649287 + 0.112460i
\(473\) −6.81176 + 6.81176i −0.313205 + 0.313205i
\(474\) 1.98583 7.41123i 0.0912123 0.340409i
\(475\) 4.22539 + 1.13219i 0.193874 + 0.0519484i
\(476\) 0.439630 10.2843i 0.0201504 0.471378i
\(477\) 6.36644 + 11.0270i 0.291499 + 0.504892i
\(478\) −4.82578 2.78616i −0.220726 0.127436i
\(479\) −2.28082 8.51215i −0.104214 0.388930i 0.894041 0.447985i \(-0.147858\pi\)
−0.998255 + 0.0590545i \(0.981191\pi\)
\(480\) 6.24211i 0.284912i
\(481\) 24.8560 26.7215i 1.13334 1.21839i
\(482\) 10.6444i 0.484838i
\(483\) −0.552462 + 0.868938i −0.0251379 + 0.0395381i
\(484\) −4.09809 + 7.09810i −0.186277 + 0.322641i
\(485\) −17.2926 + 9.98389i −0.785217 + 0.453345i
\(486\) 0.767891 + 0.767891i 0.0348322 + 0.0348322i
\(487\) 19.8298 + 5.31338i 0.898574 + 0.240772i 0.678404 0.734689i \(-0.262672\pi\)
0.220170 + 0.975461i \(0.429339\pi\)
\(488\) 28.5774 + 7.65728i 1.29364 + 0.346629i
\(489\) 9.71313 9.71313i 0.439243 0.439243i
\(490\) 4.68581 + 10.0011i 0.211683 + 0.451804i
\(491\) −2.72329 1.57229i −0.122900 0.0709565i 0.437290 0.899321i \(-0.355938\pi\)
−0.560190 + 0.828364i \(0.689272\pi\)
\(492\) −7.09579 + 1.90131i −0.319903 + 0.0857177i
\(493\) −40.7762 −1.83647
\(494\) 5.02369 3.14786i 0.226026 0.141629i
\(495\) 1.46232i 0.0657262i
\(496\) 6.73398 1.80436i 0.302364 0.0810183i
\(497\) 1.52787 + 6.86219i 0.0685345 + 0.307811i
\(498\) −3.23746 + 1.86915i −0.145074 + 0.0837587i
\(499\) −10.7019 + 10.7019i −0.479082 + 0.479082i −0.904838 0.425756i \(-0.860008\pi\)
0.425756 + 0.904838i \(0.360008\pi\)
\(500\) 2.43463 9.08617i 0.108880 0.406346i
\(501\) 5.75214 21.4673i 0.256986 0.959087i
\(502\) −21.7804 + 21.7804i −0.972107 + 0.972107i
\(503\) 22.4889 12.9840i 1.00273 0.578926i 0.0936745 0.995603i \(-0.470139\pi\)
0.909055 + 0.416677i \(0.136805\pi\)
\(504\) −7.91065 + 1.76131i −0.352368 + 0.0784551i
\(505\) −5.55031 + 1.48720i −0.246985 + 0.0661795i
\(506\) 0.425387i 0.0189108i
\(507\) 10.7593 7.29634i 0.477839 0.324042i
\(508\) −11.7192 −0.519955
\(509\) −31.8249 + 8.52745i −1.41061 + 0.377973i −0.882144 0.470980i \(-0.843900\pi\)
−0.528469 + 0.848952i \(0.677234\pi\)
\(510\) 6.47766 + 3.73988i 0.286835 + 0.165605i
\(511\) −8.80225 2.76652i −0.389389 0.122384i
\(512\) 12.4191 12.4191i 0.548851 0.548851i
\(513\) −1.46251 0.391878i −0.0645713 0.0173018i
\(514\) 6.96683 + 1.86676i 0.307294 + 0.0823391i
\(515\) 13.1201 + 13.1201i 0.578139 + 0.578139i
\(516\) −6.80255 + 3.92745i −0.299466 + 0.172897i
\(517\) −3.40852 + 5.90373i −0.149907 + 0.259646i
\(518\) −15.6033 + 24.5416i −0.685568 + 1.07829i
\(519\) 12.6746i 0.556352i
\(520\) −8.52012 13.5973i −0.373632 0.596282i
\(521\) 26.4544i 1.15899i 0.814976 + 0.579495i \(0.196750\pi\)
−0.814976 + 0.579495i \(0.803250\pi\)
\(522\) 2.41755 + 9.02241i 0.105813 + 0.394900i
\(523\) −9.23888 5.33407i −0.403988 0.233243i 0.284215 0.958761i \(-0.408267\pi\)
−0.688203 + 0.725518i \(0.741600\pi\)
\(524\) −7.34057 12.7142i −0.320674 0.555424i
\(525\) −7.63696 0.326464i −0.333304 0.0142481i
\(526\) 13.1062 + 3.51179i 0.571456 + 0.153121i
\(527\) 5.07623 18.9448i 0.221124 0.825247i
\(528\) −1.19928 + 1.19928i −0.0521920 + 0.0521920i
\(529\) −11.4243 19.7874i −0.496707 0.860322i
\(530\) 10.0448 17.3981i 0.436318 0.755726i
\(531\) −0.238377 0.889636i −0.0103447 0.0386069i
\(532\) 2.42186 2.22329i 0.105001 0.0963919i
\(533\) −21.9813 + 23.6310i −0.952116 + 1.02357i
\(534\) −11.7208 −0.507210
\(535\) 5.05207 1.35370i 0.218420 0.0585255i
\(536\) 10.1385 17.5603i 0.437915 0.758490i
\(537\) 5.47818 + 9.48849i 0.236401 + 0.409459i
\(538\) −6.45273 6.45273i −0.278197 0.278197i
\(539\) −2.39762 + 6.62494i −0.103273 + 0.285357i
\(540\) −0.308606 + 1.15173i −0.0132803 + 0.0495627i
\(541\) 3.42225 + 3.42225i 0.147134 + 0.147134i 0.776836 0.629702i \(-0.216823\pi\)
−0.629702 + 0.776836i \(0.716823\pi\)
\(542\) 0.341476 0.197151i 0.0146677 0.00846838i
\(543\) 3.79661 + 2.19197i 0.162928 + 0.0940665i
\(544\) −5.27157 19.6738i −0.226017 0.843506i
\(545\) −0.128043 −0.00548475
\(546\) −7.37318 + 7.27693i −0.315543 + 0.311424i
\(547\) −19.6406 −0.839770 −0.419885 0.907577i \(-0.637930\pi\)
−0.419885 + 0.907577i \(0.637930\pi\)
\(548\) 0.537540 + 2.00613i 0.0229626 + 0.0856975i
\(549\) −8.36449 4.82924i −0.356988 0.206107i
\(550\) −2.73479 + 1.57893i −0.116612 + 0.0673259i
\(551\) −9.20882 9.20882i −0.392309 0.392309i
\(552\) −0.308549 + 1.15152i −0.0131327 + 0.0490120i
\(553\) −8.64661 16.5731i −0.367691 0.704759i
\(554\) −11.9925 11.9925i −0.509514 0.509514i
\(555\) 7.35288 + 12.7356i 0.312113 + 0.540595i
\(556\) 4.19968 7.27406i 0.178106 0.308489i
\(557\) −34.1973 + 9.16315i −1.44899 + 0.388255i −0.895672 0.444716i \(-0.853305\pi\)
−0.553316 + 0.832971i \(0.686638\pi\)
\(558\) −4.49280 −0.190195
\(559\) −16.1631 + 30.4900i −0.683627 + 1.28959i
\(560\) 4.38045 + 4.77169i 0.185108 + 0.201641i
\(561\) 1.23495 + 4.60890i 0.0521397 + 0.194588i
\(562\) −0.651705 + 1.12879i −0.0274905 + 0.0476149i
\(563\) 15.9428 + 27.6137i 0.671908 + 1.16378i 0.977362 + 0.211572i \(0.0678583\pi\)
−0.305455 + 0.952207i \(0.598808\pi\)
\(564\) −3.93050 + 3.93050i −0.165504 + 0.165504i
\(565\) 0.821772 3.06689i 0.0345722 0.129025i
\(566\) −25.1168 6.73003i −1.05574 0.282884i
\(567\) 2.64334 + 0.112997i 0.111010 + 0.00474543i
\(568\) 4.06967 + 7.04888i 0.170760 + 0.295764i
\(569\) 23.6253 + 13.6401i 0.990426 + 0.571823i 0.905402 0.424556i \(-0.139570\pi\)
0.0850245 + 0.996379i \(0.472903\pi\)
\(570\) 0.618295 + 2.30751i 0.0258975 + 0.0966509i
\(571\) 33.0144i 1.38161i 0.723042 + 0.690804i \(0.242743\pi\)
−0.723042 + 0.690804i \(0.757257\pi\)
\(572\) 0.666344 2.90275i 0.0278612 0.121370i
\(573\) 9.85014i 0.411496i
\(574\) 13.7987 21.7032i 0.575946 0.905874i
\(575\) −0.562208 + 0.973772i −0.0234457 + 0.0406091i
\(576\) −6.95928 + 4.01794i −0.289970 + 0.167414i
\(577\) −18.3031 18.3031i −0.761967 0.761967i 0.214711 0.976678i \(-0.431119\pi\)
−0.976678 + 0.214711i \(0.931119\pi\)
\(578\) 5.74226 + 1.53863i 0.238847 + 0.0639988i
\(579\) 12.2874 + 3.29240i 0.510646 + 0.136827i
\(580\) −7.25199 + 7.25199i −0.301123 + 0.301123i
\(581\) −2.73082 + 8.68866i −0.113294 + 0.360467i
\(582\) 12.9254 + 7.46250i 0.535776 + 0.309331i
\(583\) 12.3789 3.31691i 0.512681 0.137373i
\(584\) −10.6824 −0.442042
\(585\) 1.53781 + 5.00763i 0.0635807 + 0.207040i
\(586\) 20.9678i 0.866174i
\(587\) 30.3048 8.12014i 1.25081 0.335154i 0.428162 0.903702i \(-0.359161\pi\)
0.822650 + 0.568548i \(0.192495\pi\)
\(588\) −3.28651 + 4.71187i −0.135533 + 0.194314i
\(589\) 5.42485 3.13204i 0.223527 0.129053i
\(590\) −1.02754 + 1.02754i −0.0423031 + 0.0423031i
\(591\) 0.404048 1.50793i 0.0166203 0.0620279i
\(592\) −4.41447 + 16.4750i −0.181434 + 0.677120i
\(593\) −14.5568 + 14.5568i −0.597777 + 0.597777i −0.939721 0.341943i \(-0.888915\pi\)
0.341943 + 0.939721i \(0.388915\pi\)
\(594\) 0.946578 0.546507i 0.0388385 0.0224234i
\(595\) 17.7875 3.96041i 0.729217 0.162361i
\(596\) 6.68512 1.79127i 0.273833 0.0733733i
\(597\) 11.6900i 0.478439i
\(598\) 0.447349 + 1.45672i 0.0182934 + 0.0595696i
\(599\) 17.9695 0.734214 0.367107 0.930179i \(-0.380348\pi\)
0.367107 + 0.930179i \(0.380348\pi\)
\(600\) −8.54833 + 2.29052i −0.348984 + 0.0935100i
\(601\) −15.4598 8.92570i −0.630617 0.364087i 0.150374 0.988629i \(-0.451952\pi\)
−0.780991 + 0.624542i \(0.785286\pi\)
\(602\) 8.24539 26.2344i 0.336057 1.06923i
\(603\) −4.68077 + 4.68077i −0.190616 + 0.190616i
\(604\) −0.508609 0.136281i −0.0206950 0.00554521i
\(605\) −14.0155 3.75543i −0.569810 0.152680i
\(606\) 3.03698 + 3.03698i 0.123369 + 0.123369i
\(607\) 22.2125 12.8244i 0.901578 0.520526i 0.0238664 0.999715i \(-0.492402\pi\)
0.877712 + 0.479189i \(0.159069\pi\)
\(608\) 3.25256 5.63361i 0.131909 0.228473i
\(609\) 19.2041 + 12.2098i 0.778190 + 0.494766i
\(610\) 15.2389i 0.617005i
\(611\) −5.46380 + 23.8015i −0.221042 + 0.962907i
\(612\) 3.89063i 0.157270i
\(613\) 0.916231 + 3.41942i 0.0370062 + 0.138109i 0.981957 0.189102i \(-0.0605578\pi\)
−0.944951 + 0.327211i \(0.893891\pi\)
\(614\) −22.8687 13.2032i −0.922905 0.532839i
\(615\) −6.50249 11.2626i −0.262206 0.454153i
\(616\) −0.348376 + 8.14954i −0.0140365 + 0.328354i
\(617\) −5.87829 1.57508i −0.236651 0.0634105i 0.138544 0.990356i \(-0.455758\pi\)
−0.375195 + 0.926946i \(0.622424\pi\)
\(618\) 3.58948 13.3961i 0.144390 0.538871i
\(619\) −34.1674 + 34.1674i −1.37331 + 1.37331i −0.517810 + 0.855496i \(0.673253\pi\)
−0.855496 + 0.517810i \(0.826747\pi\)
\(620\) −2.46650 4.27210i −0.0990569 0.171572i
\(621\) 0.194594 0.337046i 0.00780878 0.0135252i
\(622\) −3.95289 14.7524i −0.158496 0.591517i
\(623\) −21.0359 + 19.3112i −0.842786 + 0.773685i
\(624\) −2.84569 + 5.36808i −0.113919 + 0.214895i
\(625\) 2.20722 0.0882889
\(626\) −19.7270 + 5.28584i −0.788451 + 0.211265i
\(627\) −0.761966 + 1.31976i −0.0304300 + 0.0527063i
\(628\) −3.32596 5.76073i −0.132720 0.229878i
\(629\) 33.9301 + 33.9301i 1.35288 + 1.35288i
\(630\) −1.93090 3.70098i −0.0769287 0.147450i
\(631\) 2.80135 10.4548i 0.111520 0.416199i −0.887483 0.460841i \(-0.847548\pi\)
0.999003 + 0.0446417i \(0.0142146\pi\)
\(632\) −15.3033 15.3033i −0.608734 0.608734i
\(633\) −19.1926 + 11.0809i −0.762838 + 0.440425i
\(634\) 2.22390 + 1.28397i 0.0883222 + 0.0509928i
\(635\) −5.36966 20.0398i −0.213088 0.795257i
\(636\) 10.4497 0.414358
\(637\) −1.24355 + 25.2082i −0.0492714 + 0.998785i
\(638\) 9.40135 0.372203
\(639\) −0.687727 2.56663i −0.0272061 0.101534i
\(640\) 0.168516 + 0.0972930i 0.00666120 + 0.00384584i
\(641\) 26.3470 15.2114i 1.04064 0.600815i 0.120627 0.992698i \(-0.461510\pi\)
0.920015 + 0.391883i \(0.128176\pi\)
\(642\) −2.76436 2.76436i −0.109101 0.109101i
\(643\) −5.55469 + 20.7304i −0.219056 + 0.817527i 0.765644 + 0.643265i \(0.222421\pi\)
−0.984699 + 0.174262i \(0.944246\pi\)
\(644\) 0.390886 + 0.749218i 0.0154031 + 0.0295233i
\(645\) −9.83283 9.83283i −0.387167 0.387167i
\(646\) 3.89746 + 6.75060i 0.153344 + 0.265599i
\(647\) 3.76958 6.52911i 0.148198 0.256686i −0.782364 0.622822i \(-0.785986\pi\)
0.930561 + 0.366136i \(0.119319\pi\)
\(648\) 2.95878 0.792804i 0.116232 0.0311443i
\(649\) −0.927000 −0.0363879
\(650\) −7.70471 + 8.28296i −0.302204 + 0.324884i
\(651\) −8.06343 + 7.40230i −0.316031 + 0.290119i
\(652\) −2.91775 10.8892i −0.114268 0.426454i
\(653\) −11.4217 + 19.7830i −0.446966 + 0.774167i −0.998187 0.0601918i \(-0.980829\pi\)
0.551221 + 0.834359i \(0.314162\pi\)
\(654\) 0.0478530 + 0.0828838i 0.00187120 + 0.00324101i
\(655\) 18.3779 18.3779i 0.718086 0.718086i
\(656\) 3.90392 14.5696i 0.152422 0.568848i
\(657\) 3.36856 + 0.902603i 0.131420 + 0.0352139i
\(658\) 0.831126 19.4425i 0.0324007 0.757947i
\(659\) 13.0916 + 22.6753i 0.509975 + 0.883303i 0.999933 + 0.0115568i \(0.00367874\pi\)
−0.489958 + 0.871746i \(0.662988\pi\)
\(660\) 1.03932 + 0.600052i 0.0404555 + 0.0233570i
\(661\) 4.50623 + 16.8175i 0.175272 + 0.654124i 0.996505 + 0.0835312i \(0.0266198\pi\)
−0.821233 + 0.570593i \(0.806713\pi\)
\(662\) 37.3584i 1.45197i
\(663\) 9.07588 + 14.4843i 0.352478 + 0.562522i
\(664\) 10.5446i 0.409209i
\(665\) 4.91151 + 3.12269i 0.190460 + 0.121093i
\(666\) 5.49594 9.51925i 0.212963 0.368863i
\(667\) 2.89904 1.67376i 0.112251 0.0648083i
\(668\) −12.8972 12.8972i −0.499008 0.499008i
\(669\) −13.2842 3.55949i −0.513597 0.137618i
\(670\) 10.0884 + 2.70317i 0.389748 + 0.104433i
\(671\) −6.87393 + 6.87393i −0.265365 + 0.265365i
\(672\) −3.40828 + 10.8441i −0.131477 + 0.418321i
\(673\) 13.2813 + 7.66796i 0.511957 + 0.295578i 0.733638 0.679541i \(-0.237821\pi\)
−0.221681 + 0.975119i \(0.571154\pi\)
\(674\) −3.60596 + 0.966213i −0.138896 + 0.0372172i
\(675\) 2.88914 0.111203
\(676\) −0.770743 10.6411i −0.0296440 0.409271i
\(677\) 4.31369i 0.165789i −0.996558 0.0828943i \(-0.973584\pi\)
0.996558 0.0828943i \(-0.0264164\pi\)
\(678\) −2.29236 + 0.614237i −0.0880376 + 0.0235896i
\(679\) 35.4930 7.90254i 1.36210 0.303272i
\(680\) 18.2714 10.5490i 0.700678 0.404537i
\(681\) −2.84191 + 2.84191i −0.108902 + 0.108902i
\(682\) −1.17037 + 4.36789i −0.0448159 + 0.167255i
\(683\) −2.11067 + 7.87714i −0.0807627 + 0.301410i −0.994478 0.104944i \(-0.966534\pi\)
0.913715 + 0.406355i \(0.133200\pi\)
\(684\) −0.878653 + 0.878653i −0.0335961 + 0.0335961i
\(685\) −3.18418 + 1.83839i −0.121661 + 0.0702412i
\(686\) −2.67969 19.9330i −0.102311 0.761045i
\(687\) 1.86151 0.498789i 0.0710209 0.0190300i
\(688\) 16.1283i 0.614886i
\(689\) 38.9028 24.3766i 1.48208 0.928674i
\(690\) −0.614050 −0.0233765
\(691\) 8.79665 2.35706i 0.334640 0.0896666i −0.0875862 0.996157i \(-0.527915\pi\)
0.422227 + 0.906490i \(0.361249\pi\)
\(692\) 9.00827 + 5.20093i 0.342443 + 0.197710i
\(693\) 0.798444 2.54041i 0.0303304 0.0965023i
\(694\) −14.5393 + 14.5393i −0.551905 + 0.551905i
\(695\) 14.3629 + 3.84853i 0.544816 + 0.145983i
\(696\) 25.4494 + 6.81915i 0.964657 + 0.258479i
\(697\) −30.0059 30.0059i −1.13656 1.13656i
\(698\) 30.6831 17.7149i 1.16137 0.670518i
\(699\) −0.565067 + 0.978726i −0.0213728 + 0.0370188i
\(700\) −3.36581 + 5.29390i −0.127216 + 0.200091i
\(701\) 42.0549i 1.58839i −0.607663 0.794195i \(-0.707893\pi\)
0.607663 0.794195i \(-0.292107\pi\)
\(702\) 2.66679 2.86693i 0.100651 0.108205i
\(703\) 15.3254i 0.578009i
\(704\) 2.09335 + 7.81247i 0.0788959 + 0.294444i
\(705\) −8.52208 4.92023i −0.320960 0.185306i
\(706\) −17.8582 30.9312i −0.672101 1.16411i
\(707\) 10.4543 + 0.446900i 0.393175 + 0.0168074i
\(708\) −0.730113 0.195633i −0.0274393 0.00735235i
\(709\) 4.70279 17.5510i 0.176617 0.659143i −0.819654 0.572859i \(-0.805834\pi\)
0.996271 0.0862837i \(-0.0274991\pi\)
\(710\) −2.96449 + 2.96449i −0.111255 + 0.111255i
\(711\) 3.53266 + 6.11875i 0.132485 + 0.229471i
\(712\) −16.5304 + 28.6315i −0.619504 + 1.07301i
\(713\) 0.416733 + 1.55527i 0.0156068 + 0.0582453i
\(714\) −9.21130 10.0340i −0.344724 0.375513i
\(715\) 5.26901 0.190570i 0.197050 0.00712693i
\(716\) 8.99175 0.336038
\(717\) 4.95639 1.32806i 0.185100 0.0495974i
\(718\) −1.11470 + 1.93072i −0.0416003 + 0.0720538i
\(719\) 22.3307 + 38.6778i 0.832793 + 1.44244i 0.895815 + 0.444427i \(0.146593\pi\)
−0.0630222 + 0.998012i \(0.520074\pi\)
\(720\) −1.73117 1.73117i −0.0645170 0.0645170i
\(721\) −15.6291 29.9566i −0.582059 1.11564i
\(722\) 4.69594 17.5255i 0.174765 0.652231i
\(723\) −6.93091 6.93091i −0.257763 0.257763i
\(724\) 3.11583 1.79892i 0.115799 0.0668565i
\(725\) 21.5210 + 12.4252i 0.799271 + 0.461459i
\(726\) 2.80701 + 10.4759i 0.104178 + 0.388798i
\(727\) −21.6855 −0.804272 −0.402136 0.915580i \(-0.631732\pi\)
−0.402136 + 0.915580i \(0.631732\pi\)
\(728\) 7.37728 + 28.2741i 0.273420 + 1.04791i
\(729\) −1.00000 −0.0370370
\(730\) −1.42410 5.31483i −0.0527085 0.196711i
\(731\) −39.2949 22.6869i −1.45338 0.839107i
\(732\) −6.86463 + 3.96330i −0.253724 + 0.146488i
\(733\) −36.4440 36.4440i −1.34609 1.34609i −0.889865 0.456223i \(-0.849202\pi\)
−0.456223 0.889865i \(-0.650798\pi\)
\(734\) 0.130093 0.485514i 0.00480183 0.0179207i
\(735\) −9.56316 3.46098i −0.352742 0.127660i
\(736\) 1.18235 + 1.18235i 0.0435819 + 0.0435819i
\(737\) 3.33130 + 5.76998i 0.122710 + 0.212540i
\(738\) −4.86031 + 8.41830i −0.178910 + 0.309882i
\(739\) −6.28312 + 1.68356i −0.231128 + 0.0619307i −0.372524 0.928022i \(-0.621508\pi\)
0.141396 + 0.989953i \(0.454841\pi\)
\(740\) 12.0688 0.443659
\(741\) −1.22142 + 5.32077i −0.0448699 + 0.195464i
\(742\) −26.9500 + 24.7403i −0.989364 + 0.908246i
\(743\) 6.75798 + 25.2211i 0.247926 + 0.925273i 0.971890 + 0.235435i \(0.0756515\pi\)
−0.723964 + 0.689838i \(0.757682\pi\)
\(744\) −6.33639 + 10.9750i −0.232303 + 0.402361i
\(745\) 6.12615 + 10.6108i 0.224445 + 0.388750i
\(746\) 7.94705 7.94705i 0.290962 0.290962i
\(747\) 0.890956 3.32509i 0.0325984 0.121659i
\(748\) 3.78247 + 1.01351i 0.138301 + 0.0370576i
\(749\) −9.51586 0.406783i −0.347702 0.0148635i
\(750\) −6.22363 10.7797i −0.227255 0.393617i
\(751\) 31.8018 + 18.3608i 1.16046 + 0.669993i 0.951415 0.307912i \(-0.0996303\pi\)
0.209048 + 0.977905i \(0.432964\pi\)
\(752\) −2.95397 11.0244i −0.107720 0.402017i
\(753\) 28.3639i 1.03364i
\(754\) 32.1945 9.88671i 1.17245 0.360053i
\(755\) 0.932165i 0.0339250i
\(756\) 1.16499 1.83235i 0.0423702 0.0666418i
\(757\) 25.3385 43.8875i 0.920943 1.59512i 0.122984 0.992409i \(-0.460754\pi\)
0.797959 0.602711i \(-0.205913\pi\)
\(758\) 14.5062 8.37517i 0.526890 0.304200i
\(759\) −0.276984 0.276984i −0.0100539 0.0100539i
\(760\) 6.50876 + 1.74402i 0.236097 + 0.0632621i
\(761\) 25.8358 + 6.92269i 0.936548 + 0.250947i 0.694645 0.719353i \(-0.255562\pi\)
0.241903 + 0.970300i \(0.422228\pi\)
\(762\) −10.9653 + 10.9653i −0.397230 + 0.397230i
\(763\) 0.222443 + 0.0699131i 0.00805296 + 0.00253102i
\(764\) −7.00085 4.04194i −0.253282 0.146232i
\(765\) −6.65299 + 1.78266i −0.240539 + 0.0644523i
\(766\) 35.2576 1.27391
\(767\) −3.17447 + 0.974858i −0.114623 + 0.0352001i
\(768\) 15.9263i 0.574692i
\(769\) −22.6180 + 6.06047i −0.815626 + 0.218546i −0.642433 0.766342i \(-0.722075\pi\)
−0.173193 + 0.984888i \(0.555408\pi\)
\(770\) −4.10108 + 0.913110i −0.147793 + 0.0329062i
\(771\) −5.75185 + 3.32083i −0.207148 + 0.119597i
\(772\) 7.38208 7.38208i 0.265687 0.265687i
\(773\) 3.07578 11.4790i 0.110628 0.412869i −0.888295 0.459274i \(-0.848110\pi\)
0.998923