Properties

Label 273.2.j.b.172.5
Level $273$
Weight $2$
Character 273.172
Analytic conductor $2.180$
Analytic rank $0$
Dimension $16$
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.j (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 11 x^{14} - 4 x^{13} + 87 x^{12} - 35 x^{11} + 326 x^{10} - 205 x^{9} + 895 x^{8} - 481 x^{7} + 1005 x^{6} - 544 x^{5} + 811 x^{4} - 312 x^{3} + 195 x^{2} + 13 x + 1\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 172.5
Root \(0.379240 - 0.656863i\) of defining polynomial
Character \(\chi\) \(=\) 273.172
Dual form 273.2.j.b.100.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.379240 - 0.656863i) q^{2} -1.00000 q^{3} +(0.712354 + 1.23383i) q^{4} +(-0.357869 - 0.619848i) q^{5} +(-0.379240 + 0.656863i) q^{6} +(-1.32176 + 2.29193i) q^{7} +2.59757 q^{8} +1.00000 q^{9} +O(q^{10})\) \(q+(0.379240 - 0.656863i) q^{2} -1.00000 q^{3} +(0.712354 + 1.23383i) q^{4} +(-0.357869 - 0.619848i) q^{5} +(-0.379240 + 0.656863i) q^{6} +(-1.32176 + 2.29193i) q^{7} +2.59757 q^{8} +1.00000 q^{9} -0.542874 q^{10} +4.48772 q^{11} +(-0.712354 - 1.23383i) q^{12} +(3.26504 + 1.52954i) q^{13} +(1.00422 + 1.73741i) q^{14} +(0.357869 + 0.619848i) q^{15} +(-0.439604 + 0.761417i) q^{16} +(1.88727 + 3.26885i) q^{17} +(0.379240 - 0.656863i) q^{18} -5.92010 q^{19} +(0.509859 - 0.883102i) q^{20} +(1.32176 - 2.29193i) q^{21} +(1.70192 - 2.94782i) q^{22} +(0.465673 - 0.806569i) q^{23} -2.59757 q^{24} +(2.24386 - 3.88648i) q^{25} +(2.24293 - 1.56463i) q^{26} -1.00000 q^{27} +(-3.76942 + 0.00184259i) q^{28} +(-1.12150 - 1.94250i) q^{29} +0.542874 q^{30} +(0.191136 - 0.331058i) q^{31} +(2.93100 + 5.07665i) q^{32} -4.48772 q^{33} +2.86291 q^{34} +(1.89367 - 0.000925671i) q^{35} +(0.712354 + 1.23383i) q^{36} +(0.328723 - 0.569365i) q^{37} +(-2.24514 + 3.88870i) q^{38} +(-3.26504 - 1.52954i) q^{39} +(-0.929592 - 1.61010i) q^{40} +(-2.29549 - 3.97591i) q^{41} +(-1.00422 - 1.73741i) q^{42} +(-2.50110 + 4.33202i) q^{43} +(3.19684 + 5.53710i) q^{44} +(-0.357869 - 0.619848i) q^{45} +(-0.353203 - 0.611766i) q^{46} +(-4.18536 - 7.24926i) q^{47} +(0.439604 - 0.761417i) q^{48} +(-3.50593 - 6.05875i) q^{49} +(-1.70192 - 2.94782i) q^{50} +(-1.88727 - 3.26885i) q^{51} +(0.438674 + 5.11809i) q^{52} +(-1.21338 + 2.10164i) q^{53} +(-0.379240 + 0.656863i) q^{54} +(-1.60602 - 2.78170i) q^{55} +(-3.43336 + 5.95347i) q^{56} +5.92010 q^{57} -1.70127 q^{58} +(-2.80700 - 4.86187i) q^{59} +(-0.509859 + 0.883102i) q^{60} +1.99378 q^{61} +(-0.144973 - 0.251101i) q^{62} +(-1.32176 + 2.29193i) q^{63} +2.68780 q^{64} +(-0.220379 - 2.57121i) q^{65} +(-1.70192 + 2.94782i) q^{66} -14.4655 q^{67} +(-2.68881 + 4.65715i) q^{68} +(-0.465673 + 0.806569i) q^{69} +(0.717546 - 1.24423i) q^{70} +(2.14741 - 3.71943i) q^{71} +2.59757 q^{72} +(-1.34127 + 2.32315i) q^{73} +(-0.249330 - 0.431852i) q^{74} +(-2.24386 + 3.88648i) q^{75} +(-4.21721 - 7.30442i) q^{76} +(-5.93167 + 10.2856i) q^{77} +(-2.24293 + 1.56463i) q^{78} +(2.75173 + 4.76614i) q^{79} +0.629283 q^{80} +1.00000 q^{81} -3.48217 q^{82} +11.5302 q^{83} +(3.76942 - 0.00184259i) q^{84} +(1.35079 - 2.33964i) q^{85} +(1.89703 + 3.28575i) q^{86} +(1.12150 + 1.94250i) q^{87} +11.6572 q^{88} +(6.05088 - 10.4804i) q^{89} -0.542874 q^{90} +(-7.82119 + 5.46159i) q^{91} +1.32689 q^{92} +(-0.191136 + 0.331058i) q^{93} -6.34903 q^{94} +(2.11862 + 3.66956i) q^{95} +(-2.93100 - 5.07665i) q^{96} +(-1.79870 + 3.11544i) q^{97} +(-5.30936 + 0.00519069i) q^{98} +4.48772 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 16q^{3} - 6q^{4} + q^{7} + 12q^{8} + 16q^{9} + O(q^{10}) \) \( 16q - 16q^{3} - 6q^{4} + q^{7} + 12q^{8} + 16q^{9} + 8q^{10} + 4q^{11} + 6q^{12} + 5q^{13} - 7q^{14} - 6q^{16} - 2q^{17} + 22q^{19} - 20q^{20} - q^{21} + 7q^{22} + 4q^{23} - 12q^{24} + 2q^{25} - 6q^{26} - 16q^{27} - 7q^{28} + 15q^{29} - 8q^{30} + 3q^{31} + 3q^{32} - 4q^{33} - 68q^{34} - 12q^{35} - 6q^{36} + 4q^{37} + 2q^{38} - 5q^{39} - 25q^{40} + 19q^{41} + 7q^{42} + 11q^{43} - 16q^{44} + 2q^{46} + 5q^{47} + 6q^{48} + 13q^{49} - 7q^{50} + 2q^{51} + 36q^{52} + 36q^{53} - 15q^{55} + 39q^{56} - 22q^{57} - 40q^{58} - 17q^{59} + 20q^{60} + 44q^{61} - 6q^{62} + q^{63} - 20q^{64} - 21q^{65} - 7q^{66} - 52q^{67} + 5q^{68} - 4q^{69} + 46q^{70} + 9q^{71} + 12q^{72} - 6q^{73} + 15q^{74} - 2q^{75} - 16q^{76} - 36q^{77} + 6q^{78} + 16q^{79} + 56q^{80} + 16q^{81} + 2q^{82} + 36q^{83} + 7q^{84} - 4q^{85} + 16q^{86} - 15q^{87} - 48q^{88} + 20q^{89} + 8q^{90} - 7q^{91} - 94q^{92} - 3q^{93} + 40q^{94} - 3q^{96} + 7q^{97} - 3q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.379240 0.656863i 0.268163 0.464472i −0.700224 0.713923i \(-0.746917\pi\)
0.968388 + 0.249451i \(0.0802500\pi\)
\(3\) −1.00000 −0.577350
\(4\) 0.712354 + 1.23383i 0.356177 + 0.616917i
\(5\) −0.357869 0.619848i −0.160044 0.277204i 0.774840 0.632157i \(-0.217830\pi\)
−0.934884 + 0.354953i \(0.884497\pi\)
\(6\) −0.379240 + 0.656863i −0.154824 + 0.268163i
\(7\) −1.32176 + 2.29193i −0.499577 + 0.866270i
\(8\) 2.59757 0.918381
\(9\) 1.00000 0.333333
\(10\) −0.542874 −0.171672
\(11\) 4.48772 1.35310 0.676549 0.736398i \(-0.263475\pi\)
0.676549 + 0.736398i \(0.263475\pi\)
\(12\) −0.712354 1.23383i −0.205639 0.356177i
\(13\) 3.26504 + 1.52954i 0.905560 + 0.424217i
\(14\) 1.00422 + 1.73741i 0.268390 + 0.464341i
\(15\) 0.357869 + 0.619848i 0.0924015 + 0.160044i
\(16\) −0.439604 + 0.761417i −0.109901 + 0.190354i
\(17\) 1.88727 + 3.26885i 0.457730 + 0.792812i 0.998841 0.0481394i \(-0.0153292\pi\)
−0.541110 + 0.840952i \(0.681996\pi\)
\(18\) 0.379240 0.656863i 0.0893877 0.154824i
\(19\) −5.92010 −1.35816 −0.679082 0.734062i \(-0.737622\pi\)
−0.679082 + 0.734062i \(0.737622\pi\)
\(20\) 0.509859 0.883102i 0.114008 0.197468i
\(21\) 1.32176 2.29193i 0.288431 0.500141i
\(22\) 1.70192 2.94782i 0.362851 0.628477i
\(23\) 0.465673 0.806569i 0.0970995 0.168181i −0.813383 0.581728i \(-0.802377\pi\)
0.910483 + 0.413547i \(0.135710\pi\)
\(24\) −2.59757 −0.530227
\(25\) 2.24386 3.88648i 0.448772 0.777296i
\(26\) 2.24293 1.56463i 0.439875 0.306848i
\(27\) −1.00000 −0.192450
\(28\) −3.76942 + 0.00184259i −0.712354 + 0.000348216i
\(29\) −1.12150 1.94250i −0.208257 0.360713i 0.742908 0.669393i \(-0.233446\pi\)
−0.951166 + 0.308681i \(0.900113\pi\)
\(30\) 0.542874 0.0991147
\(31\) 0.191136 0.331058i 0.0343291 0.0594597i −0.848350 0.529435i \(-0.822404\pi\)
0.882679 + 0.469975i \(0.155737\pi\)
\(32\) 2.93100 + 5.07665i 0.518133 + 0.897433i
\(33\) −4.48772 −0.781211
\(34\) 2.86291 0.490986
\(35\) 1.89367 0.000925671i 0.320088 0.000156467i
\(36\) 0.712354 + 1.23383i 0.118726 + 0.205639i
\(37\) 0.328723 0.569365i 0.0540417 0.0936030i −0.837739 0.546071i \(-0.816123\pi\)
0.891781 + 0.452468i \(0.149456\pi\)
\(38\) −2.24514 + 3.88870i −0.364210 + 0.630830i
\(39\) −3.26504 1.52954i −0.522826 0.244922i
\(40\) −0.929592 1.61010i −0.146981 0.254579i
\(41\) −2.29549 3.97591i −0.358495 0.620932i 0.629214 0.777232i \(-0.283377\pi\)
−0.987710 + 0.156300i \(0.950043\pi\)
\(42\) −1.00422 1.73741i −0.154955 0.268088i
\(43\) −2.50110 + 4.33202i −0.381413 + 0.660627i −0.991265 0.131889i \(-0.957896\pi\)
0.609851 + 0.792516i \(0.291229\pi\)
\(44\) 3.19684 + 5.53710i 0.481942 + 0.834749i
\(45\) −0.357869 0.619848i −0.0533480 0.0924015i
\(46\) −0.353203 0.611766i −0.0520770 0.0902000i
\(47\) −4.18536 7.24926i −0.610498 1.05741i −0.991157 0.132698i \(-0.957636\pi\)
0.380659 0.924716i \(-0.375697\pi\)
\(48\) 0.439604 0.761417i 0.0634514 0.109901i
\(49\) −3.50593 6.05875i −0.500846 0.865536i
\(50\) −1.70192 2.94782i −0.240688 0.416884i
\(51\) −1.88727 3.26885i −0.264271 0.457730i
\(52\) 0.438674 + 5.11809i 0.0608332 + 0.709752i
\(53\) −1.21338 + 2.10164i −0.166671 + 0.288682i −0.937247 0.348665i \(-0.886635\pi\)
0.770577 + 0.637347i \(0.219968\pi\)
\(54\) −0.379240 + 0.656863i −0.0516080 + 0.0893877i
\(55\) −1.60602 2.78170i −0.216555 0.375085i
\(56\) −3.43336 + 5.95347i −0.458802 + 0.795565i
\(57\) 5.92010 0.784137
\(58\) −1.70127 −0.223388
\(59\) −2.80700 4.86187i −0.365441 0.632962i 0.623406 0.781898i \(-0.285748\pi\)
−0.988847 + 0.148937i \(0.952415\pi\)
\(60\) −0.509859 + 0.883102i −0.0658225 + 0.114008i
\(61\) 1.99378 0.255277 0.127639 0.991821i \(-0.459260\pi\)
0.127639 + 0.991821i \(0.459260\pi\)
\(62\) −0.144973 0.251101i −0.0184116 0.0318898i
\(63\) −1.32176 + 2.29193i −0.166526 + 0.288757i
\(64\) 2.68780 0.335975
\(65\) −0.220379 2.57121i −0.0273347 0.318919i
\(66\) −1.70192 + 2.94782i −0.209492 + 0.362851i
\(67\) −14.4655 −1.76724 −0.883618 0.468208i \(-0.844900\pi\)
−0.883618 + 0.468208i \(0.844900\pi\)
\(68\) −2.68881 + 4.65715i −0.326066 + 0.564763i
\(69\) −0.465673 + 0.806569i −0.0560604 + 0.0970995i
\(70\) 0.717546 1.24423i 0.0857632 0.148714i
\(71\) 2.14741 3.71943i 0.254851 0.441415i −0.710004 0.704198i \(-0.751307\pi\)
0.964855 + 0.262783i \(0.0846402\pi\)
\(72\) 2.59757 0.306127
\(73\) −1.34127 + 2.32315i −0.156984 + 0.271905i −0.933780 0.357848i \(-0.883511\pi\)
0.776796 + 0.629753i \(0.216844\pi\)
\(74\) −0.249330 0.431852i −0.0289840 0.0502018i
\(75\) −2.24386 + 3.88648i −0.259099 + 0.448772i
\(76\) −4.21721 7.30442i −0.483747 0.837874i
\(77\) −5.93167 + 10.2856i −0.675976 + 1.17215i
\(78\) −2.24293 + 1.56463i −0.253962 + 0.177159i
\(79\) 2.75173 + 4.76614i 0.309594 + 0.536233i 0.978274 0.207318i \(-0.0664735\pi\)
−0.668679 + 0.743551i \(0.733140\pi\)
\(80\) 0.629283 0.0703560
\(81\) 1.00000 0.111111
\(82\) −3.48217 −0.384541
\(83\) 11.5302 1.26560 0.632800 0.774316i \(-0.281906\pi\)
0.632800 + 0.774316i \(0.281906\pi\)
\(84\) 3.76942 0.00184259i 0.411278 0.000201043i
\(85\) 1.35079 2.33964i 0.146514 0.253770i
\(86\) 1.89703 + 3.28575i 0.204562 + 0.354312i
\(87\) 1.12150 + 1.94250i 0.120238 + 0.208257i
\(88\) 11.6572 1.24266
\(89\) 6.05088 10.4804i 0.641392 1.11092i −0.343730 0.939069i \(-0.611690\pi\)
0.985122 0.171856i \(-0.0549763\pi\)
\(90\) −0.542874 −0.0572239
\(91\) −7.82119 + 5.46159i −0.819883 + 0.572531i
\(92\) 1.32689 0.138338
\(93\) −0.191136 + 0.331058i −0.0198199 + 0.0343291i
\(94\) −6.34903 −0.654852
\(95\) 2.11862 + 3.66956i 0.217366 + 0.376489i
\(96\) −2.93100 5.07665i −0.299144 0.518133i
\(97\) −1.79870 + 3.11544i −0.182630 + 0.316325i −0.942775 0.333429i \(-0.891794\pi\)
0.760145 + 0.649753i \(0.225128\pi\)
\(98\) −5.30936 + 0.00519069i −0.536326 + 0.000524339i
\(99\) 4.48772 0.451033
\(100\) 6.39369 0.639369
\(101\) 11.9792 1.19197 0.595986 0.802995i \(-0.296761\pi\)
0.595986 + 0.802995i \(0.296761\pi\)
\(102\) −2.86291 −0.283471
\(103\) −1.54966 2.68409i −0.152692 0.264471i 0.779524 0.626372i \(-0.215461\pi\)
−0.932216 + 0.361901i \(0.882128\pi\)
\(104\) 8.48119 + 3.97308i 0.831649 + 0.389593i
\(105\) −1.89367 0.000925671i −0.184803 9.03363e-5i
\(106\) 0.920325 + 1.59405i 0.0893898 + 0.154828i
\(107\) −5.59313 + 9.68758i −0.540708 + 0.936534i 0.458155 + 0.888872i \(0.348510\pi\)
−0.998864 + 0.0476618i \(0.984823\pi\)
\(108\) −0.712354 1.23383i −0.0685463 0.118726i
\(109\) 10.1906 17.6506i 0.976082 1.69062i 0.299766 0.954013i \(-0.403091\pi\)
0.676316 0.736611i \(-0.263575\pi\)
\(110\) −2.43626 −0.232289
\(111\) −0.328723 + 0.569365i −0.0312010 + 0.0540417i
\(112\) −1.16407 2.01395i −0.109994 0.190300i
\(113\) 8.55107 14.8109i 0.804417 1.39329i −0.112266 0.993678i \(-0.535811\pi\)
0.916684 0.399613i \(-0.130856\pi\)
\(114\) 2.24514 3.88870i 0.210277 0.364210i
\(115\) −0.666600 −0.0621608
\(116\) 1.59781 2.76749i 0.148353 0.256955i
\(117\) 3.26504 + 1.52954i 0.301853 + 0.141406i
\(118\) −4.25811 −0.391991
\(119\) −9.98650 + 0.00488165i −0.915461 + 0.000447500i
\(120\) 0.929592 + 1.61010i 0.0848597 + 0.146981i
\(121\) 9.13961 0.830874
\(122\) 0.756122 1.30964i 0.0684560 0.118569i
\(123\) 2.29549 + 3.97591i 0.206977 + 0.358495i
\(124\) 0.544627 0.0489089
\(125\) −6.79073 −0.607381
\(126\) 1.00422 + 1.73741i 0.0894634 + 0.154780i
\(127\) 9.01920 + 15.6217i 0.800325 + 1.38620i 0.919402 + 0.393318i \(0.128673\pi\)
−0.119077 + 0.992885i \(0.537994\pi\)
\(128\) −4.84269 + 8.38778i −0.428037 + 0.741382i
\(129\) 2.50110 4.33202i 0.220209 0.381413i
\(130\) −1.77251 0.830345i −0.155459 0.0728261i
\(131\) −9.83728 17.0387i −0.859487 1.48868i −0.872419 0.488759i \(-0.837450\pi\)
0.0129316 0.999916i \(-0.495884\pi\)
\(132\) −3.19684 5.53710i −0.278250 0.481942i
\(133\) 7.82493 13.5685i 0.678507 1.17654i
\(134\) −5.48588 + 9.50182i −0.473908 + 0.820832i
\(135\) 0.357869 + 0.619848i 0.0308005 + 0.0533480i
\(136\) 4.90232 + 8.49107i 0.420371 + 0.728104i
\(137\) −9.64137 16.6993i −0.823718 1.42672i −0.902895 0.429861i \(-0.858563\pi\)
0.0791773 0.996861i \(-0.474771\pi\)
\(138\) 0.353203 + 0.611766i 0.0300667 + 0.0520770i
\(139\) −1.31388 + 2.27571i −0.111442 + 0.193023i −0.916352 0.400374i \(-0.868880\pi\)
0.804910 + 0.593397i \(0.202214\pi\)
\(140\) 1.35010 + 2.33581i 0.114105 + 0.197412i
\(141\) 4.18536 + 7.24926i 0.352471 + 0.610498i
\(142\) −1.62877 2.82111i −0.136683 0.236743i
\(143\) 14.6526 + 6.86413i 1.22531 + 0.574007i
\(144\) −0.439604 + 0.761417i −0.0366337 + 0.0634514i
\(145\) −0.802702 + 1.39032i −0.0666607 + 0.115460i
\(146\) 1.01733 + 1.76207i 0.0841948 + 0.145830i
\(147\) 3.50593 + 6.05875i 0.289164 + 0.499718i
\(148\) 0.936669 0.0769937
\(149\) −15.5896 −1.27715 −0.638573 0.769561i \(-0.720475\pi\)
−0.638573 + 0.769561i \(0.720475\pi\)
\(150\) 1.70192 + 2.94782i 0.138961 + 0.240688i
\(151\) 4.61134 7.98707i 0.375265 0.649978i −0.615102 0.788448i \(-0.710885\pi\)
0.990367 + 0.138470i \(0.0442183\pi\)
\(152\) −15.3779 −1.24731
\(153\) 1.88727 + 3.26885i 0.152577 + 0.264271i
\(154\) 4.50668 + 7.79699i 0.363158 + 0.628299i
\(155\) −0.273607 −0.0219767
\(156\) −0.438674 5.11809i −0.0351221 0.409775i
\(157\) −9.20539 + 15.9442i −0.734670 + 1.27249i 0.220197 + 0.975455i \(0.429330\pi\)
−0.954868 + 0.297031i \(0.904003\pi\)
\(158\) 4.17427 0.332087
\(159\) 1.21338 2.10164i 0.0962273 0.166671i
\(160\) 2.09783 3.63355i 0.165848 0.287258i
\(161\) 1.23310 + 2.13338i 0.0971817 + 0.168134i
\(162\) 0.379240 0.656863i 0.0297959 0.0516080i
\(163\) 11.1686 0.874793 0.437396 0.899269i \(-0.355901\pi\)
0.437396 + 0.899269i \(0.355901\pi\)
\(164\) 3.27040 5.66451i 0.255376 0.442324i
\(165\) 1.60602 + 2.78170i 0.125028 + 0.216555i
\(166\) 4.37270 7.57374i 0.339387 0.587836i
\(167\) 7.09719 + 12.2927i 0.549197 + 0.951237i 0.998330 + 0.0577721i \(0.0183997\pi\)
−0.449133 + 0.893465i \(0.648267\pi\)
\(168\) 3.43336 5.95347i 0.264889 0.459320i
\(169\) 8.32104 + 9.98801i 0.640080 + 0.768309i
\(170\) −1.02455 1.77457i −0.0785794 0.136103i
\(171\) −5.92010 −0.452722
\(172\) −7.12666 −0.543403
\(173\) 19.2725 1.46526 0.732630 0.680627i \(-0.238293\pi\)
0.732630 + 0.680627i \(0.238293\pi\)
\(174\) 1.70127 0.128973
\(175\) 5.94172 + 10.2798i 0.449152 + 0.777076i
\(176\) −1.97282 + 3.41702i −0.148707 + 0.257568i
\(177\) 2.80700 + 4.86187i 0.210987 + 0.365441i
\(178\) −4.58948 7.94921i −0.343996 0.595818i
\(179\) −11.2324 −0.839553 −0.419776 0.907628i \(-0.637891\pi\)
−0.419776 + 0.907628i \(0.637891\pi\)
\(180\) 0.509859 0.883102i 0.0380027 0.0658225i
\(181\) 2.43304 0.180846 0.0904232 0.995903i \(-0.471178\pi\)
0.0904232 + 0.995903i \(0.471178\pi\)
\(182\) 0.621412 + 7.20871i 0.0460621 + 0.534345i
\(183\) −1.99378 −0.147385
\(184\) 1.20962 2.09512i 0.0891743 0.154454i
\(185\) −0.470560 −0.0345962
\(186\) 0.144973 + 0.251101i 0.0106299 + 0.0184116i
\(187\) 8.46954 + 14.6697i 0.619354 + 1.07275i
\(188\) 5.96292 10.3281i 0.434890 0.753252i
\(189\) 1.32176 2.29193i 0.0961436 0.166714i
\(190\) 3.21387 0.233158
\(191\) −13.7391 −0.994124 −0.497062 0.867715i \(-0.665588\pi\)
−0.497062 + 0.867715i \(0.665588\pi\)
\(192\) −2.68780 −0.193975
\(193\) −13.8673 −0.998187 −0.499094 0.866548i \(-0.666334\pi\)
−0.499094 + 0.866548i \(0.666334\pi\)
\(194\) 1.36428 + 2.36300i 0.0979493 + 0.169653i
\(195\) 0.220379 + 2.57121i 0.0157817 + 0.184128i
\(196\) 4.97803 8.64170i 0.355574 0.617265i
\(197\) −9.15733 15.8610i −0.652433 1.13005i −0.982531 0.186100i \(-0.940415\pi\)
0.330098 0.943947i \(-0.392918\pi\)
\(198\) 1.70192 2.94782i 0.120950 0.209492i
\(199\) 3.55862 + 6.16371i 0.252264 + 0.436933i 0.964149 0.265363i \(-0.0854916\pi\)
−0.711885 + 0.702296i \(0.752158\pi\)
\(200\) 5.82859 10.0954i 0.412143 0.713853i
\(201\) 14.4655 1.02031
\(202\) 4.54298 7.86867i 0.319643 0.553638i
\(203\) 5.93442 0.00290089i 0.416515 0.000203603i
\(204\) 2.68881 4.65715i 0.188254 0.326066i
\(205\) −1.64297 + 2.84571i −0.114750 + 0.198753i
\(206\) −2.35077 −0.163786
\(207\) 0.465673 0.806569i 0.0323665 0.0560604i
\(208\) −2.59994 + 1.81367i −0.180274 + 0.125755i
\(209\) −26.5678 −1.83773
\(210\) −0.717546 + 1.24423i −0.0495154 + 0.0858601i
\(211\) −5.95003 10.3058i −0.409617 0.709478i 0.585230 0.810868i \(-0.301004\pi\)
−0.994847 + 0.101390i \(0.967671\pi\)
\(212\) −3.45742 −0.237457
\(213\) −2.14741 + 3.71943i −0.147138 + 0.254851i
\(214\) 4.24228 + 7.34784i 0.289996 + 0.502288i
\(215\) 3.58026 0.244172
\(216\) −2.59757 −0.176742
\(217\) 0.506127 + 0.875649i 0.0343581 + 0.0594429i
\(218\) −7.72937 13.3877i −0.523499 0.906726i
\(219\) 1.34127 2.32315i 0.0906349 0.156984i
\(220\) 2.28810 3.96311i 0.154264 0.267193i
\(221\) 1.16220 + 13.5596i 0.0781780 + 0.912117i
\(222\) 0.249330 + 0.431852i 0.0167339 + 0.0289840i
\(223\) 11.9432 + 20.6863i 0.799778 + 1.38526i 0.919760 + 0.392481i \(0.128383\pi\)
−0.119982 + 0.992776i \(0.538284\pi\)
\(224\) −15.5094 + 0.00758139i −1.03627 + 0.000506553i
\(225\) 2.24386 3.88648i 0.149591 0.259099i
\(226\) −6.48582 11.2338i −0.431430 0.747259i
\(227\) −6.29391 10.9014i −0.417741 0.723549i 0.577971 0.816058i \(-0.303845\pi\)
−0.995712 + 0.0925083i \(0.970512\pi\)
\(228\) 4.21721 + 7.30442i 0.279291 + 0.483747i
\(229\) 7.66365 + 13.2738i 0.506429 + 0.877160i 0.999972 + 0.00743905i \(0.00236795\pi\)
−0.493544 + 0.869721i \(0.664299\pi\)
\(230\) −0.252801 + 0.437865i −0.0166692 + 0.0288720i
\(231\) 5.93167 10.2856i 0.390275 0.676740i
\(232\) −2.91318 5.04578i −0.191260 0.331271i
\(233\) 13.3343 + 23.0957i 0.873559 + 1.51305i 0.858289 + 0.513166i \(0.171527\pi\)
0.0152699 + 0.999883i \(0.495139\pi\)
\(234\) 2.24293 1.56463i 0.146625 0.102283i
\(235\) −2.99563 + 5.18858i −0.195413 + 0.338465i
\(236\) 3.99916 6.92675i 0.260323 0.450893i
\(237\) −2.75173 4.76614i −0.178744 0.309594i
\(238\) −3.78407 + 6.56161i −0.245285 + 0.425326i
\(239\) −14.5891 −0.943693 −0.471846 0.881681i \(-0.656412\pi\)
−0.471846 + 0.881681i \(0.656412\pi\)
\(240\) −0.629283 −0.0406201
\(241\) −6.44615 11.1651i −0.415233 0.719204i 0.580220 0.814460i \(-0.302967\pi\)
−0.995453 + 0.0952555i \(0.969633\pi\)
\(242\) 3.46611 6.00347i 0.222810 0.385918i
\(243\) −1.00000 −0.0641500
\(244\) 1.42028 + 2.45999i 0.0909240 + 0.157485i
\(245\) −2.50084 + 4.34138i −0.159773 + 0.277361i
\(246\) 3.48217 0.222015
\(247\) −19.3294 9.05501i −1.22990 0.576157i
\(248\) 0.496490 0.859947i 0.0315272 0.0546067i
\(249\) −11.5302 −0.730694
\(250\) −2.57532 + 4.46058i −0.162877 + 0.282112i
\(251\) −12.0203 + 20.8198i −0.758717 + 1.31414i 0.184787 + 0.982779i \(0.440840\pi\)
−0.943505 + 0.331359i \(0.892493\pi\)
\(252\) −3.76942 + 0.00184259i −0.237451 + 0.000116072i
\(253\) 2.08981 3.61965i 0.131385 0.227566i
\(254\) 13.6818 0.858471
\(255\) −1.35079 + 2.33964i −0.0845899 + 0.146514i
\(256\) 6.36088 + 11.0174i 0.397555 + 0.688586i
\(257\) −9.35724 + 16.2072i −0.583689 + 1.01098i 0.411349 + 0.911478i \(0.365058\pi\)
−0.995038 + 0.0995004i \(0.968276\pi\)
\(258\) −1.89703 3.28575i −0.118104 0.204562i
\(259\) 0.870456 + 1.50597i 0.0540875 + 0.0935766i
\(260\) 3.01545 2.10352i 0.187010 0.130455i
\(261\) −1.12150 1.94250i −0.0694192 0.120238i
\(262\) −14.9228 −0.921931
\(263\) −9.37129 −0.577859 −0.288929 0.957350i \(-0.593299\pi\)
−0.288929 + 0.957350i \(0.593299\pi\)
\(264\) −11.6572 −0.717450
\(265\) 1.73693 0.106699
\(266\) −5.94511 10.2856i −0.364518 0.630652i
\(267\) −6.05088 + 10.4804i −0.370308 + 0.641392i
\(268\) −10.3045 17.8480i −0.629449 1.09024i
\(269\) −6.07464 10.5216i −0.370377 0.641512i 0.619246 0.785197i \(-0.287438\pi\)
−0.989624 + 0.143685i \(0.954105\pi\)
\(270\) 0.542874 0.0330382
\(271\) 7.32926 12.6946i 0.445221 0.771145i −0.552847 0.833283i \(-0.686459\pi\)
0.998068 + 0.0621380i \(0.0197919\pi\)
\(272\) −3.31861 −0.201220
\(273\) 7.82119 5.46159i 0.473360 0.330551i
\(274\) −14.6256 −0.883563
\(275\) 10.0698 17.4414i 0.607232 1.05176i
\(276\) −1.32689 −0.0798697
\(277\) 2.51608 + 4.35797i 0.151176 + 0.261845i 0.931660 0.363331i \(-0.118361\pi\)
−0.780484 + 0.625176i \(0.785027\pi\)
\(278\) 0.996555 + 1.72608i 0.0597694 + 0.103524i
\(279\) 0.191136 0.331058i 0.0114430 0.0198199i
\(280\) 4.91894 0.00240450i 0.293963 0.000143696i
\(281\) 0.854888 0.0509984 0.0254992 0.999675i \(-0.491882\pi\)
0.0254992 + 0.999675i \(0.491882\pi\)
\(282\) 6.34903 0.378079
\(283\) −31.2774 −1.85925 −0.929625 0.368506i \(-0.879869\pi\)
−0.929625 + 0.368506i \(0.879869\pi\)
\(284\) 6.11888 0.363088
\(285\) −2.11862 3.66956i −0.125496 0.217366i
\(286\) 10.0656 7.02160i 0.595194 0.415196i
\(287\) 12.1466 0.00593756i 0.716991 0.000350483i
\(288\) 2.93100 + 5.07665i 0.172711 + 0.299144i
\(289\) 1.37642 2.38403i 0.0809657 0.140237i
\(290\) 0.608833 + 1.05453i 0.0357519 + 0.0619241i
\(291\) 1.79870 3.11544i 0.105442 0.182630i
\(292\) −3.82185 −0.223657
\(293\) 0.339044 0.587241i 0.0198071 0.0343070i −0.855952 0.517055i \(-0.827028\pi\)
0.875759 + 0.482748i \(0.160361\pi\)
\(294\) 5.30936 0.00519069i 0.309648 0.000302727i
\(295\) −2.00908 + 3.47983i −0.116973 + 0.202603i
\(296\) 0.853882 1.47897i 0.0496309 0.0859632i
\(297\) −4.48772 −0.260404
\(298\) −5.91219 + 10.2402i −0.342484 + 0.593199i
\(299\) 2.75412 1.92122i 0.159275 0.111107i
\(300\) −6.39369 −0.369140
\(301\) −6.62288 11.4582i −0.381736 0.660441i
\(302\) −3.49761 6.05803i −0.201265 0.348601i
\(303\) −11.9792 −0.688185
\(304\) 2.60250 4.50766i 0.149264 0.258532i
\(305\) −0.713513 1.23584i −0.0408556 0.0707640i
\(306\) 2.86291 0.163662
\(307\) −27.2103 −1.55297 −0.776487 0.630134i \(-0.783000\pi\)
−0.776487 + 0.630134i \(0.783000\pi\)
\(308\) −16.9161 + 0.00826901i −0.963885 + 0.000471171i
\(309\) 1.54966 + 2.68409i 0.0881569 + 0.152692i
\(310\) −0.103763 + 0.179722i −0.00589333 + 0.0102076i
\(311\) 7.06426 12.2357i 0.400577 0.693821i −0.593218 0.805042i \(-0.702143\pi\)
0.993796 + 0.111221i \(0.0354762\pi\)
\(312\) −8.48119 3.97308i −0.480153 0.224932i
\(313\) 9.84907 + 17.0591i 0.556703 + 0.964237i 0.997769 + 0.0667627i \(0.0212670\pi\)
−0.441066 + 0.897475i \(0.645400\pi\)
\(314\) 6.98211 + 12.0934i 0.394023 + 0.682468i
\(315\) 1.89367 0.000925671i 0.106696 5.21557e-5i
\(316\) −3.92042 + 6.79036i −0.220541 + 0.381988i
\(317\) −7.83931 13.5781i −0.440299 0.762621i 0.557412 0.830236i \(-0.311794\pi\)
−0.997711 + 0.0676152i \(0.978461\pi\)
\(318\) −0.920325 1.59405i −0.0516092 0.0893898i
\(319\) −5.03298 8.71738i −0.281793 0.488079i
\(320\) −0.961881 1.66603i −0.0537708 0.0931338i
\(321\) 5.59313 9.68758i 0.312178 0.540708i
\(322\) 1.86898 0.000913602i 0.104154 5.09131e-5i
\(323\) −11.1728 19.3519i −0.621673 1.07677i
\(324\) 0.712354 + 1.23383i 0.0395752 + 0.0685463i
\(325\) 13.2708 9.25746i 0.736132 0.513511i
\(326\) 4.23558 7.33625i 0.234587 0.406317i
\(327\) −10.1906 + 17.6506i −0.563541 + 0.976082i
\(328\) −5.96270 10.3277i −0.329235 0.570252i
\(329\) 22.1469 0.0108259i 1.22100 0.000596853i
\(330\) 2.43626 0.134112
\(331\) 14.4236 0.792793 0.396396 0.918079i \(-0.370261\pi\)
0.396396 + 0.918079i \(0.370261\pi\)
\(332\) 8.21355 + 14.2263i 0.450777 + 0.780769i
\(333\) 0.328723 0.569365i 0.0180139 0.0312010i
\(334\) 10.7662 0.589098
\(335\) 5.17674 + 8.96638i 0.282836 + 0.489886i
\(336\) 1.16407 + 2.01395i 0.0635051 + 0.109870i
\(337\) 14.4299 0.786049 0.393025 0.919528i \(-0.371429\pi\)
0.393025 + 0.919528i \(0.371429\pi\)
\(338\) 9.71643 1.67793i 0.528504 0.0912672i
\(339\) −8.55107 + 14.8109i −0.464431 + 0.804417i
\(340\) 3.84897 0.208740
\(341\) 0.857766 1.48569i 0.0464506 0.0804548i
\(342\) −2.24514 + 3.88870i −0.121403 + 0.210277i
\(343\) 18.5202 0.0271595i 0.999999 0.00146647i
\(344\) −6.49678 + 11.2527i −0.350283 + 0.606707i
\(345\) 0.666600 0.0358885
\(346\) 7.30890 12.6594i 0.392929 0.680573i
\(347\) 2.33434 + 4.04319i 0.125314 + 0.217050i 0.921856 0.387534i \(-0.126673\pi\)
−0.796542 + 0.604584i \(0.793340\pi\)
\(348\) −1.59781 + 2.76749i −0.0856517 + 0.148353i
\(349\) 2.06807 + 3.58201i 0.110701 + 0.191740i 0.916053 0.401057i \(-0.131357\pi\)
−0.805352 + 0.592797i \(0.798024\pi\)
\(350\) 9.00573 0.00440222i 0.481376 0.000235309i
\(351\) −3.26504 1.52954i −0.174275 0.0816406i
\(352\) 13.1535 + 22.7826i 0.701085 + 1.21431i
\(353\) 35.7899 1.90491 0.952453 0.304684i \(-0.0985509\pi\)
0.952453 + 0.304684i \(0.0985509\pi\)
\(354\) 4.25811 0.226316
\(355\) −3.07397 −0.163150
\(356\) 17.2415 0.913797
\(357\) 9.98650 0.00488165i 0.528541 0.000258364i
\(358\) −4.25979 + 7.37818i −0.225137 + 0.389949i
\(359\) 12.6381 + 21.8899i 0.667014 + 1.15530i 0.978735 + 0.205129i \(0.0657614\pi\)
−0.311721 + 0.950174i \(0.600905\pi\)
\(360\) −0.929592 1.61010i −0.0489938 0.0848597i
\(361\) 16.0476 0.844611
\(362\) 0.922706 1.59817i 0.0484964 0.0839982i
\(363\) −9.13961 −0.479705
\(364\) −12.3102 5.75945i −0.645227 0.301877i
\(365\) 1.92000 0.100498
\(366\) −0.756122 + 1.30964i −0.0395231 + 0.0684560i
\(367\) 35.3997 1.84785 0.923925 0.382573i \(-0.124962\pi\)
0.923925 + 0.382573i \(0.124962\pi\)
\(368\) 0.409423 + 0.709142i 0.0213427 + 0.0369666i
\(369\) −2.29549 3.97591i −0.119498 0.206977i
\(370\) −0.178455 + 0.309093i −0.00927744 + 0.0160690i
\(371\) −3.21302 5.55884i −0.166812 0.288600i
\(372\) −0.544627 −0.0282376
\(373\) −32.7804 −1.69730 −0.848652 0.528951i \(-0.822586\pi\)
−0.848652 + 0.528951i \(0.822586\pi\)
\(374\) 12.8480 0.664352
\(375\) 6.79073 0.350672
\(376\) −10.8718 18.8305i −0.560669 0.971108i
\(377\) −0.690631 8.05771i −0.0355693 0.414993i
\(378\) −1.00422 1.73741i −0.0516517 0.0893625i
\(379\) −6.04308 10.4669i −0.310412 0.537650i 0.668039 0.744126i \(-0.267134\pi\)
−0.978452 + 0.206476i \(0.933800\pi\)
\(380\) −3.01842 + 5.22806i −0.154842 + 0.268194i
\(381\) −9.01920 15.6217i −0.462068 0.800325i
\(382\) −5.21040 + 9.02468i −0.266587 + 0.461743i
\(383\) −0.512172 −0.0261708 −0.0130854 0.999914i \(-0.504165\pi\)
−0.0130854 + 0.999914i \(0.504165\pi\)
\(384\) 4.84269 8.38778i 0.247127 0.428037i
\(385\) 8.49824 0.00415415i 0.433110 0.000211715i
\(386\) −5.25902 + 9.10889i −0.267677 + 0.463630i
\(387\) −2.50110 + 4.33202i −0.127138 + 0.220209i
\(388\) −5.12524 −0.260195
\(389\) −17.7577 + 30.7573i −0.900353 + 1.55946i −0.0733162 + 0.997309i \(0.523358\pi\)
−0.827037 + 0.562148i \(0.809975\pi\)
\(390\) 1.77251 + 0.830345i 0.0897544 + 0.0420462i
\(391\) 3.51540 0.177781
\(392\) −9.10690 15.7381i −0.459968 0.794892i
\(393\) 9.83728 + 17.0387i 0.496225 + 0.859487i
\(394\) −13.8913 −0.699834
\(395\) 1.96952 3.41131i 0.0990974 0.171642i
\(396\) 3.19684 + 5.53710i 0.160647 + 0.278250i
\(397\) −8.29730 −0.416430 −0.208215 0.978083i \(-0.566765\pi\)
−0.208215 + 0.978083i \(0.566765\pi\)
\(398\) 5.39828 0.270591
\(399\) −7.82493 + 13.5685i −0.391736 + 0.679274i
\(400\) 1.97282 + 3.41702i 0.0986410 + 0.170851i
\(401\) −6.96021 + 12.0554i −0.347576 + 0.602019i −0.985818 0.167816i \(-0.946329\pi\)
0.638242 + 0.769836i \(0.279662\pi\)
\(402\) 5.48588 9.50182i 0.273611 0.473908i
\(403\) 1.13043 0.788568i 0.0563109 0.0392814i
\(404\) 8.53341 + 14.7803i 0.424553 + 0.735347i
\(405\) −0.357869 0.619848i −0.0177827 0.0308005i
\(406\) 2.24867 3.89920i 0.111599 0.193514i
\(407\) 1.47522 2.55515i 0.0731238 0.126654i
\(408\) −4.90232 8.49107i −0.242701 0.420371i
\(409\) 2.45871 + 4.25862i 0.121576 + 0.210575i 0.920389 0.391004i \(-0.127872\pi\)
−0.798814 + 0.601579i \(0.794539\pi\)
\(410\) 1.24616 + 2.15841i 0.0615435 + 0.106597i
\(411\) 9.64137 + 16.6993i 0.475574 + 0.823718i
\(412\) 2.20781 3.82404i 0.108771 0.188397i
\(413\) 14.8533 0.00726064i 0.730881 0.000357273i
\(414\) −0.353203 0.611766i −0.0173590 0.0300667i
\(415\) −4.12629 7.14694i −0.202552 0.350830i
\(416\) 1.80494 + 21.0586i 0.0884945 + 1.03248i
\(417\) 1.31388 2.27571i 0.0643412 0.111442i
\(418\) −10.0756 + 17.4514i −0.492812 + 0.853575i
\(419\) 4.85147 + 8.40299i 0.237010 + 0.410513i 0.959855 0.280497i \(-0.0904993\pi\)
−0.722845 + 0.691010i \(0.757166\pi\)
\(420\) −1.35010 2.33581i −0.0658783 0.113976i
\(421\) −15.2944 −0.745405 −0.372702 0.927951i \(-0.621569\pi\)
−0.372702 + 0.927951i \(0.621569\pi\)
\(422\) −9.02596 −0.439377
\(423\) −4.18536 7.24926i −0.203499 0.352471i
\(424\) −3.15184 + 5.45915i −0.153067 + 0.265120i
\(425\) 16.9391 0.821666
\(426\) 1.62877 + 2.82111i 0.0789142 + 0.136683i
\(427\) −2.63529 + 4.56961i −0.127531 + 0.221139i
\(428\) −15.9371 −0.770351
\(429\) −14.6526 6.86413i −0.707434 0.331403i
\(430\) 1.35778 2.35174i 0.0654779 0.113411i
\(431\) 32.6580 1.57308 0.786541 0.617538i \(-0.211870\pi\)
0.786541 + 0.617538i \(0.211870\pi\)
\(432\) 0.439604 0.761417i 0.0211505 0.0366337i
\(433\) 9.28189 16.0767i 0.446059 0.772597i −0.552066 0.833800i \(-0.686160\pi\)
0.998125 + 0.0612034i \(0.0194938\pi\)
\(434\) 0.767125 0.000374990i 0.0368232 1.80001e-5i
\(435\) 0.802702 1.39032i 0.0384866 0.0666607i
\(436\) 29.0372 1.39063
\(437\) −2.75683 + 4.77497i −0.131877 + 0.228418i
\(438\) −1.01733 1.76207i −0.0486099 0.0841948i
\(439\) −4.72738 + 8.18806i −0.225625 + 0.390795i −0.956507 0.291710i \(-0.905776\pi\)
0.730881 + 0.682504i \(0.239109\pi\)
\(440\) −4.17175 7.22568i −0.198880 0.344471i
\(441\) −3.50593 6.05875i −0.166949 0.288512i
\(442\) 9.34755 + 4.37893i 0.444617 + 0.208285i
\(443\) −3.71593 6.43618i −0.176549 0.305792i 0.764147 0.645042i \(-0.223160\pi\)
−0.940696 + 0.339250i \(0.889827\pi\)
\(444\) −0.936669 −0.0444523
\(445\) −8.66170 −0.410604
\(446\) 18.1174 0.857885
\(447\) 15.5896 0.737361
\(448\) −3.55261 + 6.16026i −0.167845 + 0.291045i
\(449\) −9.42362 + 16.3222i −0.444728 + 0.770291i −0.998033 0.0626872i \(-0.980033\pi\)
0.553305 + 0.832979i \(0.313366\pi\)
\(450\) −1.70192 2.94782i −0.0802294 0.138961i
\(451\) −10.3015 17.8427i −0.485079 0.840182i
\(452\) 24.3656 1.14606
\(453\) −4.61134 + 7.98707i −0.216659 + 0.375265i
\(454\) −9.54761 −0.448092
\(455\) 6.18432 + 2.89341i 0.289925 + 0.135645i
\(456\) 15.3779 0.720136
\(457\) 3.40003 5.88903i 0.159047 0.275477i −0.775478 0.631374i \(-0.782491\pi\)
0.934525 + 0.355897i \(0.115825\pi\)
\(458\) 11.6255 0.543222
\(459\) −1.88727 3.26885i −0.0880903 0.152577i
\(460\) −0.474855 0.822473i −0.0221402 0.0383480i
\(461\) −4.80595 + 8.32415i −0.223836 + 0.387694i −0.955969 0.293466i \(-0.905191\pi\)
0.732134 + 0.681161i \(0.238525\pi\)
\(462\) −4.50668 7.79699i −0.209670 0.362749i
\(463\) −23.4929 −1.09181 −0.545905 0.837847i \(-0.683814\pi\)
−0.545905 + 0.837847i \(0.683814\pi\)
\(464\) 1.97207 0.0915508
\(465\) 0.273607 0.0126882
\(466\) 20.2276 0.937026
\(467\) 7.24654 + 12.5514i 0.335330 + 0.580808i 0.983548 0.180646i \(-0.0578189\pi\)
−0.648218 + 0.761455i \(0.724486\pi\)
\(468\) 0.438674 + 5.11809i 0.0202777 + 0.236584i
\(469\) 19.1198 33.1539i 0.882870 1.53090i
\(470\) 2.27212 + 3.93543i 0.104805 + 0.181528i
\(471\) 9.20539 15.9442i 0.424162 0.734670i
\(472\) −7.29139 12.6291i −0.335614 0.581300i
\(473\) −11.2242 + 19.4409i −0.516090 + 0.893894i
\(474\) −4.17427 −0.191731
\(475\) −13.2839 + 23.0083i −0.609506 + 1.05570i
\(476\) −7.11994 12.3182i −0.326342 0.564604i
\(477\) −1.21338 + 2.10164i −0.0555569 + 0.0962273i
\(478\) −5.53279 + 9.58307i −0.253064 + 0.438319i
\(479\) 14.5134 0.663134 0.331567 0.943432i \(-0.392423\pi\)
0.331567 + 0.943432i \(0.392423\pi\)
\(480\) −2.09783 + 3.63355i −0.0957525 + 0.165848i
\(481\) 1.94416 1.35621i 0.0886461 0.0618378i
\(482\) −9.77855 −0.445401
\(483\) −1.23310 2.13338i −0.0561079 0.0970720i
\(484\) 6.51064 + 11.2768i 0.295938 + 0.512580i
\(485\) 2.57480 0.116915
\(486\) −0.379240 + 0.656863i −0.0172027 + 0.0297959i
\(487\) −11.6964 20.2587i −0.530013 0.918009i −0.999387 0.0350099i \(-0.988854\pi\)
0.469374 0.882999i \(-0.344480\pi\)
\(488\) 5.17899 0.234442
\(489\) −11.1686 −0.505062
\(490\) 1.90327 + 3.28914i 0.0859812 + 0.148588i
\(491\) 0.786824 + 1.36282i 0.0355089 + 0.0615032i 0.883234 0.468933i \(-0.155361\pi\)
−0.847725 + 0.530436i \(0.822028\pi\)
\(492\) −3.27040 + 5.66451i −0.147441 + 0.255376i
\(493\) 4.23315 7.33203i 0.190652 0.330218i
\(494\) −13.2784 + 9.26275i −0.597423 + 0.416751i
\(495\) −1.60602 2.78170i −0.0721851 0.125028i
\(496\) 0.168049 + 0.291069i 0.00754560 + 0.0130694i
\(497\) 5.68633 + 9.83791i 0.255067 + 0.441291i
\(498\) −4.37270 + 7.57374i −0.195945 + 0.339387i
\(499\) −7.86689 13.6259i −0.352170 0.609977i 0.634459 0.772956i \(-0.281223\pi\)
−0.986629 + 0.162980i \(0.947890\pi\)
\(500\) −4.83740 8.37862i −0.216335 0.374703i
\(501\) −7.09719 12.2927i −0.317079 0.549197i
\(502\) 9.11719 + 15.7914i 0.406920 + 0.704807i
\(503\) 17.7055 30.6668i 0.789447 1.36736i −0.136858 0.990591i \(-0.543701\pi\)
0.926306 0.376773i \(-0.122966\pi\)
\(504\) −3.43336 + 5.95347i −0.152934 + 0.265188i
\(505\) −4.28698 7.42526i −0.190768 0.330420i
\(506\) −1.58508 2.74543i −0.0704653 0.122049i
\(507\) −8.32104 9.98801i −0.369550 0.443583i
\(508\) −12.8497 + 22.2564i −0.570115 + 0.987467i
\(509\) 5.20477 9.01493i 0.230697 0.399580i −0.727316 0.686303i \(-0.759233\pi\)
0.958014 + 0.286723i \(0.0925659\pi\)
\(510\) 1.02455 + 1.77457i 0.0453678 + 0.0785794i
\(511\) −3.55168 6.14475i −0.157117 0.271828i
\(512\) −9.72154 −0.429635
\(513\) 5.92010 0.261379
\(514\) 7.09728 + 12.2929i 0.313048 + 0.542214i
\(515\) −1.10915 + 1.92110i −0.0488750 + 0.0846540i
\(516\) 7.12666 0.313734
\(517\) −18.7827 32.5326i −0.826063 1.43078i
\(518\) 1.31933 0.000644921i 0.0579680 2.83362e-5i
\(519\) −19.2725 −0.845968
\(520\) −0.572451 6.67889i −0.0251037 0.292889i
\(521\) −0.513222 + 0.888926i −0.0224847 + 0.0389446i −0.877049 0.480401i \(-0.840491\pi\)
0.854564 + 0.519346i \(0.173824\pi\)
\(522\) −1.70127 −0.0744627
\(523\) 9.02138 15.6255i 0.394477 0.683255i −0.598557 0.801080i \(-0.704259\pi\)
0.993034 + 0.117826i \(0.0375924\pi\)
\(524\) 14.0153 24.2751i 0.612259 1.06046i
\(525\) −5.94172 10.2798i −0.259318 0.448645i
\(526\) −3.55397 + 6.15566i −0.154960 + 0.268399i
\(527\) 1.44290 0.0628539
\(528\) 1.97282 3.41702i 0.0858559 0.148707i
\(529\) 11.0663 + 19.1674i 0.481143 + 0.833365i
\(530\) 0.658712 1.14092i 0.0286126 0.0495585i
\(531\) −2.80700 4.86187i −0.121814 0.210987i
\(532\) 22.3154 0.0109083i 0.967494 0.000472935i
\(533\) −1.41359 16.4926i −0.0612292 0.714372i
\(534\) 4.58948 + 7.94921i 0.198606 + 0.343996i
\(535\) 8.00644 0.346148
\(536\) −37.5751 −1.62300
\(537\) 11.2324 0.484716
\(538\) −9.21499 −0.397286
\(539\) −15.7336 27.1900i −0.677694 1.17116i
\(540\) −0.509859 + 0.883102i −0.0219408 + 0.0380027i
\(541\) 16.7318 + 28.9803i 0.719355 + 1.24596i 0.961256 + 0.275659i \(0.0888960\pi\)
−0.241900 + 0.970301i \(0.577771\pi\)
\(542\) −5.55910 9.62864i −0.238784 0.413585i
\(543\) −2.43304 −0.104412
\(544\) −11.0632 + 19.1620i −0.474331 + 0.821565i
\(545\) −14.5876 −0.624865
\(546\) −0.621412 7.20871i −0.0265940 0.308504i
\(547\) 30.7718 1.31571 0.657853 0.753146i \(-0.271465\pi\)
0.657853 + 0.753146i \(0.271465\pi\)
\(548\) 13.7361 23.7917i 0.586779 1.01633i
\(549\) 1.99378 0.0850925
\(550\) −7.63775 13.2290i −0.325675 0.564085i
\(551\) 6.63940 + 11.4998i 0.282848 + 0.489907i
\(552\) −1.20962 + 2.09512i −0.0514848 + 0.0891743i
\(553\) −14.5608 + 0.00711768i −0.619188 + 0.000302675i
\(554\) 3.81679 0.162160
\(555\) 0.470560 0.0199741
\(556\) −3.74380 −0.158773
\(557\) 15.6343 0.662446 0.331223 0.943553i \(-0.392539\pi\)
0.331223 + 0.943553i \(0.392539\pi\)
\(558\) −0.144973 0.251101i −0.00613720 0.0106299i
\(559\) −14.7922 + 10.3187i −0.625642 + 0.436436i
\(560\) −0.831759 + 1.44228i −0.0351482 + 0.0609473i
\(561\) −8.46954 14.6697i −0.357584 0.619354i
\(562\) 0.324208 0.561545i 0.0136759 0.0236873i
\(563\) −16.7621 29.0328i −0.706438 1.22359i −0.966170 0.257905i \(-0.916968\pi\)
0.259733 0.965681i \(-0.416366\pi\)
\(564\) −5.96292 + 10.3281i −0.251084 + 0.434890i
\(565\) −12.2407 −0.514969
\(566\) −11.8617 + 20.5450i −0.498583 + 0.863570i
\(567\) −1.32176 + 2.29193i −0.0555085 + 0.0962522i
\(568\) 5.57806 9.66149i 0.234050 0.405387i
\(569\) −10.6031 + 18.3651i −0.444504 + 0.769903i −0.998018 0.0629368i \(-0.979953\pi\)
0.553514 + 0.832840i \(0.313287\pi\)
\(570\) −3.21387 −0.134614
\(571\) −0.869647 + 1.50627i −0.0363936 + 0.0630356i −0.883648 0.468151i \(-0.844920\pi\)
0.847255 + 0.531187i \(0.178254\pi\)
\(572\) 1.96865 + 22.9686i 0.0823133 + 0.960364i
\(573\) 13.7391 0.573958
\(574\) 4.60258 7.98090i 0.192108 0.333116i
\(575\) −2.08981 3.61965i −0.0871510 0.150950i
\(576\) 2.68780 0.111992
\(577\) −2.83193 + 4.90504i −0.117895 + 0.204199i −0.918933 0.394413i \(-0.870948\pi\)
0.801039 + 0.598613i \(0.204281\pi\)
\(578\) −1.04399 1.80824i −0.0434241 0.0752127i
\(579\) 13.8673 0.576304
\(580\) −2.28723 −0.0949721
\(581\) −15.2401 + 26.4264i −0.632264 + 1.09635i
\(582\) −1.36428 2.36300i −0.0565511 0.0979493i
\(583\) −5.44531 + 9.43155i −0.225522 + 0.390615i
\(584\) −3.48406 + 6.03456i −0.144171 + 0.249712i
\(585\) −0.220379 2.57121i −0.00911157 0.106306i
\(586\) −0.257158 0.445411i −0.0106231 0.0183997i
\(587\) 8.06910 + 13.9761i 0.333047 + 0.576855i 0.983108 0.183028i \(-0.0585898\pi\)
−0.650060 + 0.759882i \(0.725256\pi\)
\(588\) −4.97803 + 8.64170i −0.205291 + 0.356378i
\(589\) −1.13155 + 1.95990i −0.0466246 + 0.0807561i
\(590\) 1.52385 + 2.63938i 0.0627358 + 0.108662i
\(591\) 9.15733 + 15.8610i 0.376682 + 0.652433i
\(592\) 0.289016 + 0.500590i 0.0118785 + 0.0205741i
\(593\) −21.1595 36.6493i −0.868917 1.50501i −0.863105 0.505025i \(-0.831483\pi\)
−0.00581233 0.999983i \(-0.501850\pi\)
\(594\) −1.70192 + 2.94782i −0.0698307 + 0.120950i
\(595\) 3.57689 + 6.18836i 0.146638 + 0.253698i
\(596\) −11.1053 19.2349i −0.454890 0.787893i
\(597\) −3.55862 6.16371i −0.145644 0.252264i
\(598\) −0.217506 2.53768i −0.00889448 0.103774i
\(599\) 22.9026 39.6685i 0.935776 1.62081i 0.162532 0.986703i \(-0.448034\pi\)
0.773244 0.634108i \(-0.218633\pi\)
\(600\) −5.82859 + 10.0954i −0.237951 + 0.412143i
\(601\) 6.27579 + 10.8700i 0.255995 + 0.443396i 0.965165 0.261641i \(-0.0842637\pi\)
−0.709170 + 0.705037i \(0.750930\pi\)
\(602\) −10.0381 + 0.00490689i −0.409124 + 0.000199990i
\(603\) −14.4655 −0.589079
\(604\) 13.1396 0.534643
\(605\) −3.27079 5.66517i −0.132976 0.230322i
\(606\) −4.54298 + 7.86867i −0.184546 + 0.319643i
\(607\) 34.4923 1.40000 0.700000 0.714143i \(-0.253183\pi\)
0.700000 + 0.714143i \(0.253183\pi\)
\(608\) −17.3518 30.0543i −0.703710 1.21886i
\(609\) −5.93442 + 0.00290089i −0.240475 + 0.000117550i
\(610\) −1.08237 −0.0438239
\(611\) −2.57739 30.0708i −0.104270 1.21654i
\(612\) −2.68881 + 4.65715i −0.108689 + 0.188254i
\(613\) −34.1674 −1.38001 −0.690003 0.723806i \(-0.742391\pi\)
−0.690003 + 0.723806i \(0.742391\pi\)
\(614\) −10.3192 + 17.8734i −0.416450 + 0.721313i
\(615\) 1.64297 2.84571i 0.0662510 0.114750i
\(616\) −15.4079 + 26.7175i −0.620803 + 1.07648i
\(617\) −18.4048 + 31.8781i −0.740950 + 1.28336i 0.211113 + 0.977462i \(0.432291\pi\)
−0.952063 + 0.305902i \(0.901042\pi\)
\(618\) 2.35077 0.0945618
\(619\) −17.9351 + 31.0644i −0.720871 + 1.24858i 0.239780 + 0.970827i \(0.422925\pi\)
−0.960651 + 0.277758i \(0.910409\pi\)
\(620\) −0.194905 0.337586i −0.00782758 0.0135578i
\(621\) −0.465673 + 0.806569i −0.0186868 + 0.0323665i
\(622\) −5.35810 9.28050i −0.214840 0.372114i
\(623\) 16.0227 + 27.7208i 0.641935 + 1.11061i
\(624\) 2.59994 1.81367i 0.104081 0.0726049i
\(625\) −8.78910 15.2232i −0.351564 0.608927i
\(626\) 14.9407 0.597149
\(627\) 26.5678 1.06101
\(628\) −26.2300 −1.04669
\(629\) 2.48156 0.0989462
\(630\) 0.717546 1.24423i 0.0285877 0.0495713i
\(631\) −9.93368 + 17.2056i −0.395453 + 0.684945i −0.993159 0.116770i \(-0.962746\pi\)
0.597706 + 0.801716i \(0.296079\pi\)
\(632\) 7.14783 + 12.3804i 0.284325 + 0.492466i
\(633\) 5.95003 + 10.3058i 0.236493 + 0.409617i
\(634\) −11.8919 −0.472288
\(635\) 6.45539 11.1811i 0.256174 0.443707i
\(636\) 3.45742 0.137096
\(637\) −2.17992 25.1445i −0.0863715 0.996263i
\(638\) −7.63483 −0.302266
\(639\) 2.14741 3.71943i 0.0849504 0.147138i
\(640\) 6.93220 0.274019
\(641\) 1.27505 + 2.20844i 0.0503613 + 0.0872282i 0.890107 0.455751i \(-0.150629\pi\)
−0.839746 + 0.542980i \(0.817296\pi\)
\(642\) −4.24228 7.34784i −0.167429 0.289996i
\(643\) 7.23729 12.5354i 0.285411 0.494346i −0.687298 0.726376i \(-0.741203\pi\)
0.972709 + 0.232029i \(0.0745366\pi\)
\(644\) −1.75383 + 3.04116i −0.0691106 + 0.119838i
\(645\) −3.58026 −0.140973
\(646\) −16.9488 −0.666840
\(647\) −31.6619 −1.24476 −0.622379 0.782716i \(-0.713834\pi\)
−0.622379 + 0.782716i \(0.713834\pi\)
\(648\) 2.59757 0.102042
\(649\) −12.5970 21.8187i −0.494477 0.856459i
\(650\) −1.04806 12.2279i −0.0411083 0.479618i
\(651\) −0.506127 0.875649i −0.0198367 0.0343194i
\(652\) 7.95600 + 13.7802i 0.311581 + 0.539674i
\(653\) −3.52992 + 6.11399i −0.138136 + 0.239259i −0.926791 0.375577i \(-0.877445\pi\)
0.788655 + 0.614836i \(0.210778\pi\)
\(654\) 7.72937 + 13.3877i 0.302242 + 0.523499i
\(655\) −7.04092 + 12.1952i −0.275112 + 0.476507i
\(656\) 4.03643 0.157596
\(657\) −1.34127 + 2.32315i −0.0523281 + 0.0906349i
\(658\) 8.39186 14.5516i 0.327149 0.567279i
\(659\) 6.73098 11.6584i 0.262202 0.454147i −0.704625 0.709580i \(-0.748885\pi\)
0.966827 + 0.255433i \(0.0822181\pi\)
\(660\) −2.28810 + 3.96311i −0.0890644 + 0.154264i
\(661\) 4.13958 0.161011 0.0805054 0.996754i \(-0.474347\pi\)
0.0805054 + 0.996754i \(0.474347\pi\)
\(662\) 5.47001 9.47433i 0.212598 0.368230i
\(663\) −1.16220 13.5596i −0.0451361 0.526611i
\(664\) 29.9504 1.16230
\(665\) −11.2107 + 0.00548007i −0.434732 + 0.000212508i
\(666\) −0.249330 0.431852i −0.00966134 0.0167339i
\(667\) −2.08901 −0.0808868
\(668\) −10.1114 + 17.5135i −0.391223 + 0.677617i
\(669\) −11.9432 20.6863i −0.461752 0.799778i
\(670\) 7.85291 0.303384
\(671\) 8.94753 0.345415
\(672\) 15.5094 0.00758139i 0.598289 0.000292458i
\(673\) −3.09545 5.36148i −0.119321 0.206670i 0.800178 0.599763i \(-0.204738\pi\)
−0.919499 + 0.393093i \(0.871405\pi\)
\(674\) 5.47241 9.47850i 0.210790 0.365098i
\(675\) −2.24386 + 3.88648i −0.0863662 + 0.149591i
\(676\) −6.39602 + 17.3818i −0.246001 + 0.668530i
\(677\) 8.44416 + 14.6257i 0.324535 + 0.562112i 0.981418 0.191881i \(-0.0614587\pi\)
−0.656883 + 0.753993i \(0.728125\pi\)
\(678\) 6.48582 + 11.2338i 0.249086 + 0.431430i
\(679\) −4.76294 8.24034i −0.182785 0.316235i
\(680\) 3.50878 6.07739i 0.134556 0.233057i
\(681\) 6.29391 + 10.9014i 0.241183 + 0.417741i
\(682\) −0.650598 1.12687i −0.0249127 0.0431501i
\(683\) −6.68862 11.5850i −0.255933 0.443289i 0.709215 0.704992i \(-0.249049\pi\)
−0.965149 + 0.261703i \(0.915716\pi\)
\(684\) −4.21721 7.30442i −0.161249 0.279291i
\(685\) −6.90070 + 11.9524i −0.263662 + 0.456676i
\(686\) 7.00578 12.1756i 0.267482 0.464865i
\(687\) −7.66365 13.2738i −0.292387 0.506429i
\(688\) −2.19898 3.80875i −0.0838354 0.145207i
\(689\) −7.17627 + 5.00603i −0.273394 + 0.190714i
\(690\) 0.252801 0.437865i 0.00962398 0.0166692i
\(691\) −4.90190 + 8.49034i −0.186477 + 0.322988i −0.944073 0.329736i \(-0.893040\pi\)
0.757596 + 0.652723i \(0.226374\pi\)
\(692\) 13.7288 + 23.7790i 0.521892 + 0.903943i
\(693\) −5.93167 + 10.2856i −0.225325 + 0.390716i
\(694\) 3.54110 0.134418
\(695\) 1.88079 0.0713426
\(696\) 2.91318 + 5.04578i 0.110424 + 0.191260i
\(697\) 8.66443 15.0072i 0.328189 0.568439i
\(698\) 3.13718 0.118744
\(699\) −13.3343 23.0957i −0.504350 0.873559i
\(700\) −8.45089 + 14.6539i −0.319414 + 0.553866i
\(701\) 35.6715 1.34729 0.673647 0.739054i \(-0.264727\pi\)
0.673647 + 0.739054i \(0.264727\pi\)
\(702\) −2.24293 + 1.56463i −0.0846540 + 0.0590530i
\(703\) −1.94607 + 3.37070i −0.0733976 + 0.127128i
\(704\) 12.0621 0.454607
\(705\) 2.99563 5.18858i 0.112822 0.195413i
\(706\) 13.5730 23.5091i 0.510826 0.884777i
\(707\) −15.8335 + 27.4555i −0.595481 + 1.03257i
\(708\) −3.99916 + 6.92675i −0.150298 + 0.260323i
\(709\) 31.7496 1.19238 0.596191 0.802842i \(-0.296680\pi\)
0.596191 + 0.802842i \(0.296680\pi\)
\(710\) −1.16577 + 2.01918i −0.0437507 + 0.0757785i
\(711\) 2.75173 + 4.76614i 0.103198 + 0.178744i
\(712\) 15.7176 27.2237i 0.589043 1.02025i
\(713\) −0.178014 0.308329i −0.00666667 0.0115470i
\(714\) 3.78407 6.56161i 0.141615 0.245562i
\(715\) −0.989000 11.5388i −0.0369865 0.431528i
\(716\) −8.00148 13.8590i −0.299029 0.517934i
\(717\) 14.5891 0.544841
\(718\) 19.1715 0.715475
\(719\) −6.98125 −0.260357 −0.130178 0.991491i \(-0.541555\pi\)
−0.130178 + 0.991491i \(0.541555\pi\)
\(720\) 0.629283 0.0234520
\(721\) 8.20002 0.00400837i 0.305385 0.000149280i
\(722\) 6.08590 10.5411i 0.226494 0.392299i
\(723\) 6.44615 + 11.1651i 0.239735 + 0.415233i
\(724\) 1.73319 + 3.00197i 0.0644133 + 0.111567i
\(725\) −10.0660 −0.373840
\(726\) −3.46611 + 6.00347i −0.128639 + 0.222810i
\(727\) −2.58607 −0.0959121 −0.0479561 0.998849i \(-0.515271\pi\)
−0.0479561 + 0.998849i \(0.515271\pi\)
\(728\) −20.3161 + 14.1869i −0.752965 + 0.525801i
\(729\) 1.00000 0.0370370
\(730\) 0.728142 1.26118i 0.0269498 0.0466783i
\(731\) −18.8810 −0.698338
\(732\) −1.42028 2.45999i −0.0524950 0.0909240i
\(733\) 6.30712 + 10.9243i 0.232959 + 0.403497i 0.958678 0.284495i \(-0.0918259\pi\)
−0.725719 + 0.687992i \(0.758493\pi\)
\(734\) 13.4250 23.2528i 0.495526 0.858276i
\(735\) 2.50084 4.34138i 0.0922450 0.160134i
\(736\) 5.45955 0.201242
\(737\) −64.9169 −2.39124
\(738\) −3.48217 −0.128180
\(739\) 2.94077 0.108178 0.0540889 0.998536i \(-0.482775\pi\)
0.0540889 + 0.998536i \(0.482775\pi\)
\(740\) −0.335205 0.580592i −0.0123224 0.0213430i
\(741\) 19.3294 + 9.05501i 0.710083 + 0.332644i
\(742\) −4.86990 + 0.00238053i −0.178780 + 8.73920e-5i
\(743\) 20.5461 + 35.5869i 0.753763 + 1.30556i 0.945987 + 0.324205i \(0.105097\pi\)
−0.192224 + 0.981351i \(0.561570\pi\)
\(744\) −0.496490 + 0.859947i −0.0182022 + 0.0315272i
\(745\) 5.57903 + 9.66316i 0.204400 + 0.354031i
\(746\) −12.4316 + 21.5322i −0.455155 + 0.788351i
\(747\) 11.5302 0.421866
\(748\) −12.0666 + 20.9000i −0.441199 + 0.764180i
\(749\) −14.8106 25.6237i −0.541166 0.936270i
\(750\) 2.57532 4.46058i 0.0940372 0.162877i
\(751\) 15.2160 26.3549i 0.555241 0.961705i −0.442644 0.896698i \(-0.645959\pi\)
0.997885 0.0650079i \(-0.0207073\pi\)
\(752\) 7.35961 0.268377
\(753\) 12.0203 20.8198i 0.438046 0.758717i
\(754\) −5.55473 2.60216i −0.202291 0.0947650i
\(755\) −6.60102 −0.240236
\(756\) 3.76942 0.00184259i 0.137093 6.70143e-5i
\(757\) 15.7459 + 27.2726i 0.572293 + 0.991241i 0.996330 + 0.0855959i \(0.0272794\pi\)
−0.424037 + 0.905645i \(0.639387\pi\)
\(758\) −9.16711 −0.332965
\(759\) −2.08981 + 3.61965i −0.0758552 + 0.131385i
\(760\) 5.50328 + 9.53196i 0.199625 + 0.345760i
\(761\) −44.1732 −1.60128 −0.800638 0.599148i \(-0.795506\pi\)
−0.800638 + 0.599148i \(0.795506\pi\)
\(762\) −13.6818 −0.495638
\(763\) 26.9846 + 46.6860i 0.976909 + 1.69015i
\(764\) −9.78707 16.9517i −0.354084 0.613291i
\(765\) 1.35079 2.33964i 0.0488380 0.0845899i
\(766\) −0.194236 + 0.336427i −0.00701804 + 0.0121556i
\(767\) −1.72858 20.1676i −0.0624154 0.728211i
\(768\) −6.36088 11.0174i −0.229529 0.397555i
\(769\) 25.4717 + 44.1182i 0.918532 + 1.59094i 0.801646 + 0.597799i \(0.203958\pi\)
0.116887 + 0.993145i \(0.462709\pi\)
\(770\) 3.22014 5.58376i 0.116046 0.201225i
\(771\) 9.35724 16.2072i 0.336993 0.583689i
\(772\) −9.87840 17.1099i −0.355531 0.615798i
\(773\) 2.87103 + 4.97278i 0.103264 + 0.178858i 0.913028 0.407898i \(-0.133738\pi\)
−0.809764 + 0.586756i \(0.800405\pi\)
\(774\) 1.89703 + 3.28575i 0.0681874 + 0.118104i
\(775\) −0.857766 1.48569i −0.0308119 0.0533677i