Properties

Label 273.2.by.d.76.3
Level $273$
Weight $2$
Character 273.76
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 76.3
Character \(\chi\) \(=\) 273.76
Dual form 273.2.by.d.97.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281068 + 1.04896i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(0.710736 + 0.410344i) q^{4} +(-1.02734 + 1.02734i) q^{5} +(-0.281068 - 1.04896i) q^{6} +(2.23270 + 1.41953i) q^{7} +(-2.16598 + 2.16598i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(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} +(2.23270 + 1.41953i) 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} +(-2.64334 - 0.112997i) 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} +(1.00437 + 1.92508i) 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} +(-3.75209 + 0.835406i) 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} +(0.861486 - 2.74099i) 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} +(2.96989 + 6.33875i) 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} +(-7.91065 + 1.76131i) 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} +(2.34570 - 1.22381i) 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} +(0.178284 - 4.17059i) 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} +(-1.83235 - 1.16499i) 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} +(-4.10393 - 8.61149i) 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} +(-7.48383 + 1.33367i) q^{98} +(0.711699 - 0.711699i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

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

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 0.792521 + 0.609845i \(0.208768\pi\)
−0.991266 + 0.131881i \(0.957898\pi\)
\(3\) −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 \(-0.855322\pi\)
0.439031 + 0.898472i \(0.355322\pi\)
\(6\) −0.281068 1.04896i −0.114745 0.428235i
\(7\) 2.23270 + 1.41953i 0.843881 + 0.536531i
\(8\) −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 0.402387 0.915470i \(-0.368181\pi\)
−0.109258 + 0.994013i \(0.534847\pi\)
\(12\) −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 0.421159 + 0.906987i \(0.361624\pi\)
−0.996053 + 0.0887595i \(0.971710\pi\)
\(18\) 0.767891 + 0.767891i 0.180994 + 0.180994i
\(19\) 0.391878 + 1.46251i 0.0899030 + 0.335522i 0.996197 0.0871243i \(-0.0277677\pi\)
−0.906294 + 0.422647i \(0.861101\pi\)
\(20\) −1.15173 + 0.308606i −0.257535 + 0.0690064i
\(21\) −2.64334 0.112997i −0.576823 0.0246580i
\(22\) −0.546507 + 0.946578i −0.116516 + 0.201811i
\(23\) −0.337046 + 0.194594i −0.0702790 + 0.0405756i −0.534728 0.845024i \(-0.679586\pi\)
0.464449 + 0.885600i \(0.346252\pi\)
\(24\) 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
\(28\) 1.00437 + 1.92508i 0.189807 + 0.363806i
\(29\) −4.30065 7.44895i −0.798611 1.38324i −0.920521 0.390694i \(-0.872235\pi\)
0.121909 0.992541i \(-0.461098\pi\)
\(30\) 1.36639 + 0.788887i 0.249468 + 0.144030i
\(31\) 2.92542 2.92542i 0.525420 0.525420i −0.393783 0.919203i \(-0.628834\pi\)
0.919203 + 0.393783i \(0.128834\pi\)
\(32\) −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
\(35\) −3.75209 + 0.835406i −0.634218 + 0.141209i
\(36\) 0.710736 0.410344i 0.118456 0.0683906i
\(37\) 9.77690 + 2.61971i 1.60731 + 0.430678i 0.947240 0.320524i \(-0.103859\pi\)
0.660072 + 0.751202i \(0.270526\pi\)
\(38\) −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 \(-0.170310\pi\)
0.490056 + 0.871691i \(0.336976\pi\)
\(42\) 0.861486 2.74099i 0.132930 0.422944i
\(43\) −8.28885 4.78557i −1.26404 0.729792i −0.290184 0.956971i \(-0.593717\pi\)
−0.973853 + 0.227179i \(0.927050\pi\)
\(44\) 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 \(-0.0855430\pi\)
−0.265518 + 0.964106i \(0.585543\pi\)
\(48\) 1.45934 + 0.842549i 0.210637 + 0.121611i
\(49\) 2.96989 + 6.33875i 0.424269 + 0.905536i
\(50\) −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
\(56\) −7.91065 + 1.76131i −1.05710 + 0.235365i
\(57\) −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 \(-0.564238\pi\)
0.316264 + 0.948671i \(0.397572\pi\)
\(60\) 0.843127 0.843127i 0.108847 0.108847i
\(61\) 8.36449 + 4.82924i 1.07096 + 0.618321i 0.928445 0.371471i \(-0.121146\pi\)
0.142519 + 0.989792i \(0.454480\pi\)
\(62\) 2.24640 + 3.89088i 0.285293 + 0.494142i
\(63\) 2.34570 1.22381i 0.295530 0.154186i
\(64\) 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 −0.778782 0.627295i \(-0.784162\pi\)
0.988092 0.153863i \(-0.0491713\pi\)
\(68\) −3.36939 + 1.94532i −0.408598 + 0.235904i
\(69\) 0.194594 0.337046i 0.0234263 0.0405756i
\(70\) 0.178284 4.17059i 0.0213090 0.498481i
\(71\) −2.56663 + 0.687727i −0.304603 + 0.0816182i −0.407883 0.913034i \(-0.633733\pi\)
0.103280 + 0.994652i \(0.467066\pi\)
\(72\) 0.792804 + 2.95878i 0.0934328 + 0.348696i
\(73\) −2.46596 2.46596i −0.288619 0.288619i 0.547915 0.836534i \(-0.315422\pi\)
−0.836534 + 0.547915i \(0.815422\pi\)
\(74\) −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 \(-0.689499\pi\)
0.827963 + 0.560782i \(0.189499\pi\)
\(84\) −1.83235 1.16499i −0.199925 0.127111i
\(85\) −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 −0.644231 0.764831i \(-0.722822\pi\)
0.940336 0.340248i \(-0.110511\pi\)
\(90\) −1.57777 −0.166312
\(91\) −4.10393 8.61149i −0.430209 0.902729i
\(92\) −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 0.872541 + 0.488541i \(0.162471\pi\)
−0.511372 + 0.859359i \(0.670863\pi\)
\(98\) −7.48383 + 1.33367i −0.755981 + 0.134721i
\(99\) 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 \(-0.103622\pi\)
−0.750711 + 0.660630i \(0.770289\pi\)
\(102\) 4.97280 + 1.33246i 0.492380 + 0.131933i
\(103\) −12.7709 −1.25835 −0.629176 0.777263i \(-0.716607\pi\)
−0.629176 + 0.777263i \(0.716607\pi\)
\(104\) 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 0.939818 0.341675i \(-0.110994\pi\)
−0.765808 + 0.643069i \(0.777661\pi\)
\(108\) −0.410344 + 0.710736i −0.0394853 + 0.0683906i
\(109\) −0.0623175 0.0623175i −0.00596893 0.00596893i 0.704116 0.710085i \(-0.251343\pi\)
−0.710085 + 0.704116i \(0.751343\pi\)
\(110\) −0.411010 1.53391i −0.0391882 0.146252i
\(111\) −9.77690 + 2.61971i −0.927983 + 0.248652i
\(112\) 0.190411 4.45428i 0.0179922 0.420890i
\(113\) −1.09268 + 1.89259i −0.102791 + 0.178039i −0.912834 0.408332i \(-0.866111\pi\)
0.810042 + 0.586371i \(0.199444\pi\)
\(114\) 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
\(119\) −11.1202 + 5.80172i −1.01939 + 0.531843i
\(120\) 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
\(126\) 0.624427 + 2.80451i 0.0556284 + 0.249846i
\(127\) −12.3666 + 7.13987i −1.09736 + 0.633561i −0.935526 0.353257i \(-0.885074\pi\)
−0.161834 + 0.986818i \(0.551741\pi\)
\(128\) 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
\(133\) −1.20112 + 3.82162i −0.104151 + 0.331377i
\(134\) 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 0.932285 0.361724i \(-0.117812\pi\)
−0.988245 + 0.152881i \(0.951145\pi\)
\(138\) 0.298853 + 0.298853i 0.0254401 + 0.0254401i
\(139\) −8.86338 5.11727i −0.751782 0.434041i 0.0745556 0.997217i \(-0.476246\pi\)
−0.826337 + 0.563176i \(0.809579\pi\)
\(140\) −3.00955 0.945892i −0.254353 0.0799424i
\(141\) −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
\(147\) −5.74137 4.00458i −0.473540 0.330292i
\(148\) 5.87381 + 5.87381i 0.482825 + 0.482825i
\(149\) 8.14575 2.18265i 0.667326 0.178809i 0.0907761 0.995871i \(-0.471065\pi\)
0.576550 + 0.817062i \(0.304399\pi\)
\(150\) 3.03058 0.812042i 0.247446 0.0663030i
\(151\) −0.453678 + 0.453678i −0.0369198 + 0.0369198i −0.725326 0.688406i \(-0.758311\pi\)
0.688406 + 0.725326i \(0.258311\pi\)
\(152\) −4.01656 2.31896i −0.325786 0.188093i
\(153\) 2.37035 + 4.10557i 0.191632 + 0.331916i
\(154\) −2.56388 + 1.33764i −0.206603 + 0.107790i
\(155\) 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
\(161\) −1.02875 0.0439771i −0.0810771 0.00346588i
\(162\) 1.04896 0.281068i 0.0824140 0.0220828i
\(163\) 3.55525 + 13.2684i 0.278469 + 1.03926i 0.953481 + 0.301453i \(0.0974717\pi\)
−0.675012 + 0.737807i \(0.735862\pi\)
\(164\) 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 −0.270523 0.962714i \(-0.587196\pi\)
0.715636 0.698473i \(-0.246137\pi\)
\(168\) 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 \(-0.993355\pi\)
0.517967 + 0.855400i \(0.326689\pi\)
\(174\) −6.60487 + 6.60487i −0.500714 + 0.500714i
\(175\) −4.10121 + 6.45057i −0.310022 + 0.487617i
\(176\) −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 −0.101563 0.994829i \(-0.532384\pi\)
0.810766 + 0.585370i \(0.199051\pi\)
\(180\) −0.308606 + 1.15173i −0.0230021 + 0.0858451i
\(181\) −4.38394 −0.325856 −0.162928 0.986638i \(-0.552094\pi\)
−0.162928 + 0.986638i \(0.552094\pi\)
\(182\) 10.1866 1.88445i 0.755079 0.139684i
\(183\) −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
\(189\) −1.41953 + 2.23270i −0.103255 + 0.162405i
\(190\) 1.68921 1.68921i 0.122548 0.122548i
\(191\) −4.92507 + 8.53047i −0.356366 + 0.617243i −0.987351 0.158552i \(-0.949318\pi\)
0.630985 + 0.775795i \(0.282651\pi\)
\(192\) 4.01794 + 6.95928i 0.289970 + 0.502243i
\(193\) 12.2874 + 3.29240i 0.884465 + 0.236992i 0.672333 0.740249i \(-0.265292\pi\)
0.212133 + 0.977241i \(0.431959\pi\)
\(194\) −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 −0.978825 0.204701i \(-0.934378\pi\)
0.950037 + 0.312136i \(0.101045\pi\)
\(198\) 0.546507 + 0.946578i 0.0388385 + 0.0672703i
\(199\) −5.84499 + 10.1238i −0.414340 + 0.717659i −0.995359 0.0962317i \(-0.969321\pi\)
0.581019 + 0.813890i \(0.302654\pi\)
\(200\) −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
\(203\) 0.971923 22.7362i 0.0682156 1.59577i
\(204\) 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
\(210\) 1.93090 + 3.70098i 0.133244 + 0.255392i
\(211\) −11.0809 19.1926i −0.762838 1.32127i −0.941382 0.337343i \(-0.890472\pi\)
0.178544 0.983932i \(-0.442861\pi\)
\(212\) 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
\(217\) 10.6843 2.37887i 0.725296 0.161488i
\(218\) 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 \(-0.264345\pi\)
0.215041 + 0.976605i \(0.431011\pi\)
\(224\) −10.8441 3.40828i −0.724553 0.227725i
\(225\) 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 \(-0.0407510\pi\)
−0.922775 + 0.385339i \(0.874084\pi\)
\(228\) −0.321609 1.20026i −0.0212991 0.0794893i
\(229\) −1.36272 1.36272i −0.0900509 0.0900509i 0.660646 0.750697i \(-0.270282\pi\)
−0.750697 + 0.660646i \(0.770282\pi\)
\(230\) 0.531783 + 0.307025i 0.0350647 + 0.0202446i
\(231\) −2.54041 0.798444i −0.167147 0.0525338i
\(232\) 25.4494 + 6.81915i 1.67084 + 0.447699i
\(233\) 1.13013i 0.0740376i −0.999315 0.0370188i \(-0.988214\pi\)
0.999315 0.0370188i \(-0.0117861\pi\)
\(234\) −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
\(238\) −2.96022 13.2953i −0.191883 0.861809i
\(239\) 3.62833 + 3.62833i 0.234697 + 0.234697i 0.814650 0.579953i \(-0.196929\pi\)
−0.579953 + 0.814650i \(0.696929\pi\)
\(240\) −2.36483 + 0.633653i −0.152649 + 0.0409021i
\(241\) 9.46780 2.53689i 0.609875 0.163415i 0.0593540 0.998237i \(-0.481096\pi\)
0.550521 + 0.834822i \(0.314429\pi\)
\(242\) 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
\(245\) −9.56316 3.46098i −0.610968 0.221114i
\(246\) 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 0.0615480 0.998104i \(-0.480396\pi\)
0.833610 0.552354i \(-0.186270\pi\)
\(252\) 2.16935 + 0.0927353i 0.136656 + 0.00584178i
\(253\) −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 \(-0.100249\pi\)
−0.743667 + 0.668550i \(0.766915\pi\)
\(258\) −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 0.606579 0.795023i \(-0.292541\pi\)
−0.991800 + 0.127801i \(0.959208\pi\)
\(264\) 1.54152 2.67000i 0.0948743 0.164327i
\(265\) −13.0810 + 13.0810i −0.803561 + 0.803561i
\(266\) −3.67113 2.33406i −0.225091 0.143111i
\(267\) 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 \(-0.415796\pi\)
−0.705170 + 0.709038i \(0.749129\pi\)
\(270\) 1.36639 0.788887i 0.0831560 0.0480101i
\(271\) −0.0939748 + 0.350719i −0.00570857 + 0.0213047i −0.968721 0.248151i \(-0.920177\pi\)
0.963013 + 0.269456i \(0.0868438\pi\)
\(272\) 7.98855 0.484377
\(273\) 7.85986 + 5.40580i 0.475700 + 0.327174i
\(274\) 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 0.847874 0.530197i \(-0.177882\pi\)
−0.0352270 + 0.999379i \(0.511215\pi\)
\(278\) 7.85901 7.85901i 0.471352 0.471352i
\(279\) −1.07078 3.99619i −0.0641057 0.239246i
\(280\) 6.31747 9.93642i 0.377541 0.593814i
\(281\) −0.848694 + 0.848694i −0.0506289 + 0.0506289i −0.731968 0.681339i \(-0.761398\pi\)
0.681339 + 0.731968i \(0.261398\pi\)
\(282\) 3.67764 6.36986i 0.219000 0.379320i
\(283\) −11.9723 20.7366i −0.711678 1.23266i −0.964227 0.265078i \(-0.914602\pi\)
0.252549 0.967584i \(-0.418731\pi\)
\(284\) −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 \(-0.392597\pi\)
0.758505 + 0.651667i \(0.225930\pi\)
\(294\) 5.81435 4.89690i 0.339100 0.285593i
\(295\) −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
\(301\) −11.7133 22.4510i −0.675141 1.29405i
\(302\) −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 \(-0.494109\pi\)
−0.999829 + 0.0185063i \(0.994109\pi\)
\(308\) 0.474959 + 2.13320i 0.0270633 + 0.121550i
\(309\) 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 \(-0.630554\pi\)
−0.398744 + 0.917062i \(0.630554\pi\)
\(312\) −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
\(315\) −1.15256 + 3.66710i −0.0649394 + 0.206618i
\(316\) 5.02158 + 2.89921i 0.282486 + 0.163093i
\(317\) −1.67207 1.67207i −0.0939128 0.0939128i 0.658590 0.752502i \(-0.271153\pi\)
−0.752502 + 0.658590i \(0.771153\pi\)
\(318\) −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
\(322\) 0.335279 1.06676i 0.0186844 0.0594482i
\(323\) −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
\(329\) 3.89450 + 17.4915i 0.214711 + 0.964339i
\(330\) 1.12290 + 1.12290i 0.0618136 + 0.0618136i
\(331\) −33.2290 + 8.90368i −1.82643 + 0.489391i −0.997545 0.0700274i \(-0.977691\pi\)
−0.828886 + 0.559418i \(0.811025\pi\)
\(332\) 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
\(336\) 2.06224 + 3.95273i 0.112504 + 0.215639i
\(337\) 3.43766i 0.187261i 0.995607 + 0.0936305i \(0.0298472\pi\)
−0.995607 + 0.0936305i \(0.970153\pi\)
\(338\) −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
\(343\) −2.36717 + 18.3684i −0.127815 + 0.991798i
\(344\) 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 0.491737 + 0.870744i \(0.336362\pi\)
−0.999955 + 0.00951518i \(0.996971\pi\)
\(348\) 3.52949 + 6.11326i 0.189201 + 0.327705i
\(349\) −8.44404 + 31.5136i −0.451999 + 1.68688i 0.244765 + 0.969582i \(0.421289\pi\)
−0.696764 + 0.717300i \(0.745377\pi\)
\(350\) −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 \(-0.755974\pi\)
−0.970613 + 0.240647i \(0.922640\pi\)
\(354\) −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
\(357\) 6.72955 10.5846i 0.356166 0.560194i
\(358\) 3.07948 + 11.4928i 0.162756 + 0.607412i
\(359\) −1.45164 + 1.45164i −0.0766146 + 0.0766146i −0.744376 0.667761i \(-0.767253\pi\)
0.667761 + 0.744376i \(0.267253\pi\)
\(360\) −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
\(364\) 0.616856 7.80452i 0.0323320 0.409068i
\(365\) 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 \(-0.670512\pi\)
0.489502 + 0.872002i \(0.337179\pi\)
\(368\) 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
\(371\) 28.4287 + 18.0747i 1.47594 + 0.938390i
\(372\) −2.40085 + 2.40085i −0.124478 + 0.124478i
\(373\) 5.17460 8.96266i 0.267930 0.464069i −0.700397 0.713754i \(-0.746994\pi\)
0.968327 + 0.249685i \(0.0803269\pi\)
\(374\) −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 −0.784368 0.620295i \(-0.787013\pi\)
0.989431 0.145007i \(-0.0463206\pi\)
\(380\) −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 0.754182 + 0.656665i \(0.228034\pi\)
−0.324808 + 0.945780i \(0.605300\pi\)
\(384\) −0.129367 + 0.0346639i −0.00660176 + 0.00176894i
\(385\) −3.86539 0.165238i −0.196999 0.00842128i
\(386\) −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 \(0.396593\pi\)
−0.319179 + 0.947694i \(0.603407\pi\)
\(390\) −2.66444 5.02619i −0.134919 0.254511i
\(391\) 1.84502i 0.0933068i
\(392\) −20.1623 7.29690i −1.01835 0.368549i
\(393\) 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 \(-0.946481\pi\)
−0.770142 + 0.637873i \(0.779815\pi\)
\(398\) −8.97663 8.97663i −0.449958 0.449958i
\(399\) −0.870606 3.91018i −0.0435848 0.195754i
\(400\) 4.21622 2.43424i 0.210811 0.121712i
\(401\) −33.6403 9.01390i −1.67992 0.450133i −0.712161 0.702016i \(-0.752284\pi\)
−0.967758 + 0.251883i \(0.918950\pi\)
\(402\) −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
\(406\) 23.5761 + 7.40990i 1.17006 + 0.367747i
\(407\) 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 0.999651 + 0.0264241i \(0.00841204\pi\)
−0.852511 + 0.522709i \(0.824921\pi\)
\(410\) −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
\(413\) 2.32467 + 0.730638i 0.114390 + 0.0359523i
\(414\) −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 \(-0.413318\pi\)
0.968595 + 0.248642i \(0.0799844\pi\)
\(420\) 3.07929 0.685607i 0.150254 0.0334542i
\(421\) −8.84750 8.84750i −0.431201 0.431201i 0.457836 0.889037i \(-0.348625\pi\)
−0.889037 + 0.457836i \(0.848625\pi\)
\(422\) 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
\(427\) 11.8202 + 22.6559i 0.572017 + 1.09639i
\(428\) 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 0.805519 + 0.592570i \(0.201887\pi\)
−0.993885 + 0.110422i \(0.964780\pi\)
\(432\) 1.45934 0.842549i 0.0702124 0.0405372i
\(433\) 16.6099 28.7692i 0.798222 1.38256i −0.122550 0.992462i \(-0.539107\pi\)
0.920773 0.390100i \(-0.127559\pi\)
\(434\) −0.507674 + 11.8760i −0.0243691 + 0.570066i
\(435\) −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 \(-0.214283\pi\)
−0.930871 + 0.365348i \(0.880950\pi\)
\(440\) 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
\(448\) 11.4072 17.9417i 0.538937 0.847666i
\(449\) −9.60577 35.8492i −0.453324 1.69183i −0.692968 0.720968i \(-0.743697\pi\)
0.239644 0.970861i \(-0.422969\pi\)
\(450\) −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
\(455\) 13.0631 + 4.63080i 0.612407 + 0.217095i
\(456\) 4.63793 0.217191
\(457\) 2.07001 7.72540i 0.0968312 0.361379i −0.900460 0.434940i \(-0.856770\pi\)
0.997291 + 0.0735609i \(0.0234363\pi\)
\(458\) 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 1.00000 0.000284720i \(9.06291e-5\pi\)
−0.865883 + 0.500247i \(0.833243\pi\)
\(462\) 1.55156 2.44037i 0.0721852 0.113536i
\(463\) 24.2312 24.2312i 1.12612 1.12612i 0.135316 0.990803i \(-0.456795\pi\)
0.990803 0.135316i \(-0.0432049\pi\)
\(464\) −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 \(-0.421452\pi\)
0.244269 + 0.969707i \(0.421452\pi\)
\(468\) −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
\(476\) −10.2843 0.439630i −0.471378 0.0201504i
\(477\) 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 \(-0.852142\pi\)
0.998255 + 0.0590545i \(0.0188086\pi\)
\(480\) 6.24211i 0.284912i
\(481\) −24.8560 26.7215i −1.13334 1.21839i
\(482\) 10.6444i 0.484838i
\(483\) 0.912915 0.476292i 0.0415391 0.0216720i
\(484\) −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 0.220170 0.975461i \(-0.429339\pi\)
0.678404 + 0.734689i \(0.262672\pi\)
\(488\) −28.5774 + 7.65728i −1.29364 + 0.346629i
\(489\) −9.71313 9.71313i −0.439243 0.439243i
\(490\) 6.31832 9.05859i 0.285432 0.409225i
\(491\) −2.72329 + 1.57229i −0.122900 + 0.0709565i −0.560190 0.828364i \(-0.689272\pi\)
0.437290 + 0.899321i \(0.355938\pi\)
\(492\) −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
\(497\) −6.70676 2.10792i −0.300840 0.0945530i
\(498\) −3.23746 1.86915i −0.145074 0.0837587i
\(499\) −10.7019 10.7019i −0.479082 0.479082i 0.425756 0.904838i \(-0.360008\pi\)
−0.904838 + 0.425756i \(0.860008\pi\)
\(500\) −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 \(-0.529861\pi\)
−0.909055 + 0.416677i \(0.863195\pi\)
\(504\) −2.42998 + 7.73148i −0.108240 + 0.344387i
\(505\) −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 \(-0.156100\pi\)
0.528469 + 0.848952i \(0.322766\pi\)
\(510\) −6.47766 + 3.73988i −0.286835 + 0.165605i
\(511\) −2.00525 9.00624i −0.0887069 0.398412i
\(512\) 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
\(518\) −25.7836 + 13.4520i −1.13287 + 0.591046i
\(519\) 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 \(-0.591733\pi\)
0.688203 + 0.725518i \(0.258400\pi\)
\(524\) 7.34057 12.7142i 0.320674 0.555424i
\(525\) 0.326464 7.63696i 0.0142481 0.333304i
\(526\) 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
\(539\) 1.23608 + 6.93618i 0.0532415 + 0.298762i
\(540\) −0.308606 1.15173i −0.0132803 0.0495627i
\(541\) 3.42225 3.42225i 0.147134 0.147134i −0.629702 0.776836i \(-0.716823\pi\)
0.776836 + 0.629702i \(0.216823\pi\)
\(542\) −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
\(546\) −7.87961 + 6.72527i −0.337216 + 0.287815i
\(547\) −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
\(553\) 15.7747 + 10.0294i 0.670810 + 0.426494i
\(554\) −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 −0.553316 0.832971i \(-0.686638\pi\)
−0.895672 + 0.444716i \(0.853305\pi\)
\(558\) 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 0.305455 + 0.952207i \(0.401192\pi\)
−0.977362 + 0.211572i \(0.932142\pi\)
\(564\) −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
\(567\) 0.112997 2.64334i 0.00474543 0.111010i
\(568\) 4.06967 7.04888i 0.170760 0.295764i
\(569\) 23.6253 13.6401i 0.990426 0.571823i 0.0850245 0.996379i \(-0.472903\pi\)
0.905402 + 0.424556i \(0.139570\pi\)
\(570\) −0.618295 + 2.30751i −0.0258975 + 0.0966509i
\(571\) 33.0144i 1.38161i −0.723042 0.690804i \(-0.757257\pi\)
0.723042 0.690804i \(-0.242743\pi\)
\(572\) −0.666344 2.90275i −0.0278612 0.121370i
\(573\) 9.85014i 0.411496i
\(574\) −22.8016 + 11.8962i −0.951721 + 0.496537i
\(575\) −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 \(-0.568881\pi\)
0.976678 + 0.214711i \(0.0688808\pi\)
\(578\) 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
\(581\) 8.89002 1.97937i 0.368820 0.0821181i
\(582\) 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 \(-0.640839\pi\)
−0.822650 + 0.568548i \(0.807505\pi\)
\(588\) −2.43735 5.20213i −0.100515 0.214532i
\(589\) 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 \(-0.111085\pi\)
−0.341943 + 0.939721i \(0.611085\pi\)
\(594\) −0.946578 0.546507i −0.0388385 0.0224234i
\(595\) 5.46395 17.3846i 0.224000 0.712701i
\(596\) 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 \(-0.548048\pi\)
0.780991 + 0.624542i \(0.214714\pi\)
\(602\) 26.8423 5.97648i 1.09401 0.243583i
\(603\) −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 \(-0.507598\pi\)
−0.877712 + 0.479189i \(0.840931\pi\)
\(608\) −3.25256 5.63361i −0.131909 0.228473i
\(609\) 10.5264 + 20.1760i 0.426550 + 0.817575i
\(610\) 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 −0.944951 0.327211i \(-0.893891\pi\)
0.981957 + 0.189102i \(0.0605578\pi\)
\(614\) 22.8687 13.2032i 0.922905 0.532839i
\(615\) 6.50249 11.2626i 0.262206 0.454153i
\(616\) −8.14954 0.348376i −0.328354 0.0140365i
\(617\) −5.87829 + 1.57508i −0.236651 + 0.0634105i −0.375195 0.926946i \(-0.622424\pi\)
0.138544 + 0.990356i \(0.455758\pi\)
\(618\) 3.58948 + 13.3961i 0.144390 + 0.538871i
\(619\) 34.1674 + 34.1674i 1.37331 + 1.37331i 0.855496 + 0.517810i \(0.173253\pi\)
0.517810 + 0.855496i \(0.326747\pi\)
\(620\) −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
\(630\) −3.52269 2.23969i −0.140347 0.0892315i
\(631\) 2.80135 + 10.4548i 0.111520 + 0.416199i 0.999003 0.0446417i \(-0.0142146\pi\)
−0.887483 + 0.460841i \(0.847548\pi\)
\(632\) −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
\(637\) 3.06139 25.0525i 0.121297 0.992616i
\(638\) 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 0.920015 0.391883i \(-0.128176\pi\)
0.120627 + 0.992698i \(0.461510\pi\)
\(642\) 2.76436 2.76436i 0.109101 0.109101i
\(643\) 5.55469 + 20.7304i 0.219056 + 0.817527i 0.984699 + 0.174262i \(0.0557539\pi\)
−0.765644 + 0.643265i \(0.777579\pi\)
\(644\) −0.713127 0.453399i −0.0281011 0.0178664i
\(645\) −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 \(-0.214014\pi\)
−0.930561 + 0.366136i \(0.880681\pi\)
\(648\) 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 0.551221 0.834359i \(-0.314162\pi\)
−0.998187 + 0.0601918i \(0.980829\pi\)
\(654\) −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
\(658\) −19.4425 0.831126i −0.757947 0.0324007i
\(659\) 13.0916 22.6753i 0.509975 0.883303i −0.489958 0.871746i \(-0.662988\pi\)
0.999933 0.0115568i \(-0.00367874\pi\)
\(660\) 1.03932 0.600052i 0.0404555 0.0233570i
\(661\) −4.50623 + 16.8175i −0.175272 + 0.654124i 0.821233 + 0.570593i \(0.193287\pi\)
−0.996505 + 0.0835312i \(0.973380\pi\)
\(662\) 37.3584i 1.45197i
\(663\) −9.07588 + 14.4843i −0.352478 + 0.562522i
\(664\) 10.5446i 0.409209i
\(665\) −2.69215 5.16008i −0.104397 0.200099i
\(666\) 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
\(672\) 11.0954 2.47041i 0.428015 0.0952980i
\(673\) 13.2813 7.66796i 0.511957 0.295578i −0.221681 0.975119i \(-0.571154\pi\)
0.733638 + 0.679541i \(0.237821\pi\)
\(674\) −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
\(679\) −10.9027 + 34.6891i −0.418406 + 1.33124i
\(680\) 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 0.913715 0.406355i \(-0.133200\pi\)
−0.994478 + 0.104944i \(0.966534\pi\)
\(684\) 0.878653 + 0.878653i 0.0335961 + 0.0335961i
\(685\) 3.18418 + 1.83839i 0.121661 + 0.0702412i
\(686\) −18.6023 7.64581i −0.710239 0.291918i
\(687\) 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 \(-0.472085\pi\)
−0.422227 + 0.906490i \(0.638751\pi\)
\(692\) −9.00827 + 5.20093i −0.342443 + 0.197710i
\(693\) 2.59928 0.578733i 0.0987386 0.0219843i
\(694\) −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
\(700\) −5.56182 + 2.90175i −0.210217 + 0.109676i
\(701\) 42.0549i 1.58839i 0.607663 + 0.794195i \(0.292107\pi\)
−0.607663 + 0.794195i \(0.707893\pi\)
\(702\) 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
\(707\) −0.446900 + 10.4543i −0.0168074 + 0.393175i
\(708\) −0.730113 + 0.195633i −0.0274393 + 0.00735235i
\(709\) 4.70279 + 17.5510i 0.176617 + 0.659143i 0.996271 + 0.0862837i \(0.0274991\pi\)
−0.819654 + 0.572859i \(0.805834\pi\)
\(710\) 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 0.0630222 + 0.998012i \(0.479926\pi\)
−0.895815 + 0.444427i \(0.853407\pi\)
\(720\) 1.73117 1.73117i 0.0645170 0.0645170i
\(721\) −28.5135 18.1286i −1.06190 0.675144i
\(722\) 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 \(-0.368268\pi\)
0.402136 + 0.915580i \(0.368268\pi\)
\(728\) 27.5413 + 9.76327i 1.02075 + 0.361851i
\(729\) −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 0.456223 0.889865i \(-0.349202\pi\)
0.889865 0.456223i \(-0.150798\pi\)
\(734\) −0.130093 0.485514i −0.00480183 0.0179207i
\(735\) 10.0124 1.78428i 0.369314 0.0658143i
\(736\) 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 0.141396 0.989953i \(-0.454841\pi\)
−0.372524 + 0.928022i \(0.621508\pi\)
\(740\) −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 −0.723964 0.689838i \(-0.757682\pi\)
0.971890 0.235435i \(-0.0756515\pi\)
\(744\) −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
\(749\) −0.406783 + 9.51586i −0.0148635 + 0.347702i
\(750\) −6.22363 + 10.7797i −0.227255 + 0.393617i
\(751\) 31.8018 18.3608i 1.16046 0.669993i 0.209048 0.977905i \(-0.432964\pi\)
0.951415 + 0.307912i \(0.0996303\pi\)
\(752\) 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
\(756\) −1.92508 + 1.00437i −0.0700146 + 0.0365284i
\(757\) 25.3385 + 43.8875i 0.920943 + 1.59512i 0.797959 + 0.602711i \(0.205913\pi\)
0.122984 + 0.992409i \(0.460754\pi\)
\(758\) 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 \(-0.744438\pi\)
−0.241903 + 0.970300i \(0.577772\pi\)
\(762\) 10.9653 + 10.9653i 0.397230 + 0.397230i
\(763\) −0.0506748 0.227597i −0.00183455 0.00823958i
\(764\) −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 \(-0.277925\pi\)
0.173193 + 0.984888i \(0.444592\pi\)
\(770\) 1.25976 4.00820i 0.0453988 0.144445i
\(771\) −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 \(-0.151890\pi\)