Properties

Label 189.2.bd.a.47.13
Level $189$
Weight $2$
Character 189.47
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.bd (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 47.13
Character \(\chi\) \(=\) 189.47
Dual form 189.2.bd.a.185.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.245063 + 0.0432112i) q^{2} +(1.36915 + 1.06086i) q^{3} +(-1.82120 - 0.662861i) q^{4} +(1.99870 + 0.727467i) q^{5} +(0.289688 + 0.319140i) q^{6} +(0.302346 + 2.62842i) q^{7} +(-0.848674 - 0.489982i) q^{8} +(0.749157 + 2.90496i) q^{9} +O(q^{10})\) \(q+(0.245063 + 0.0432112i) q^{2} +(1.36915 + 1.06086i) q^{3} +(-1.82120 - 0.662861i) q^{4} +(1.99870 + 0.727467i) q^{5} +(0.289688 + 0.319140i) q^{6} +(0.302346 + 2.62842i) q^{7} +(-0.848674 - 0.489982i) q^{8} +(0.749157 + 2.90496i) q^{9} +(0.458373 + 0.264642i) q^{10} +(-0.489168 - 1.34398i) q^{11} +(-1.79029 - 2.83959i) q^{12} +(1.30709 - 3.59121i) q^{13} +(-0.0394834 + 0.657193i) q^{14} +(1.96479 + 3.11635i) q^{15} +(2.78250 + 2.33479i) q^{16} +(0.109097 - 0.188961i) q^{17} +(0.0580640 + 0.744269i) q^{18} +(2.56992 - 1.48374i) q^{19} +(-3.15782 - 2.64972i) q^{20} +(-2.37442 + 3.91945i) q^{21} +(-0.0618021 - 0.350497i) q^{22} +(-7.61556 + 1.34283i) q^{23} +(-0.642162 - 1.57118i) q^{24} +(-0.364628 - 0.305959i) q^{25} +(0.475500 - 0.823590i) q^{26} +(-2.05604 + 4.77208i) q^{27} +(1.19165 - 4.98728i) q^{28} +(-1.78349 - 4.90009i) q^{29} +(0.346835 + 0.848603i) q^{30} +(1.32486 - 3.64001i) q^{31} +(1.84082 + 2.19380i) q^{32} +(0.756026 - 2.35905i) q^{33} +(0.0349009 - 0.0415932i) q^{34} +(-1.30779 + 5.47337i) q^{35} +(0.561220 - 5.78708i) q^{36} +6.01251 q^{37} +(0.693906 - 0.252561i) q^{38} +(5.59937 - 3.53027i) q^{39} +(-1.33980 - 1.59671i) q^{40} +(-10.0627 - 3.66253i) q^{41} +(-0.751248 + 0.857911i) q^{42} +(1.29579 - 7.34878i) q^{43} +2.77190i q^{44} +(-0.615920 + 6.35112i) q^{45} -1.92432 q^{46} +(-5.51793 + 2.00836i) q^{47} +(1.33278 + 6.14853i) q^{48} +(-6.81717 + 1.58938i) q^{49} +(-0.0761360 - 0.0907353i) q^{50} +(0.349832 - 0.142981i) q^{51} +(-4.76094 + 5.67387i) q^{52} +(12.1036 - 6.98800i) q^{53} +(-0.710066 + 1.08062i) q^{54} -3.04206i q^{55} +(1.03129 - 2.37882i) q^{56} +(5.09265 + 0.694850i) q^{57} +(-0.225328 - 1.27790i) q^{58} +(-1.21070 + 1.01590i) q^{59} +(-1.51255 - 6.97787i) q^{60} +(1.45500 + 3.99757i) q^{61} +(0.481963 - 0.834784i) q^{62} +(-7.40893 + 2.84740i) q^{63} +(-3.27598 - 5.67416i) q^{64} +(5.22497 - 6.22688i) q^{65} +(0.287211 - 0.545447i) q^{66} +(2.59043 + 14.6911i) q^{67} +(-0.323942 + 0.271820i) q^{68} +(-11.8514 - 6.24050i) q^{69} +(-0.557002 + 1.28481i) q^{70} +(-4.29452 + 2.47944i) q^{71} +(0.787586 - 2.83243i) q^{72} +2.46806i q^{73} +(1.47344 + 0.259808i) q^{74} +(-0.174652 - 0.805724i) q^{75} +(-5.66384 + 0.998688i) q^{76} +(3.38464 - 1.69209i) q^{77} +(1.52475 - 0.623182i) q^{78} +(-0.675969 + 3.83361i) q^{79} +(3.86290 + 6.69073i) q^{80} +(-7.87753 + 4.35254i) q^{81} +(-2.30773 - 1.33237i) q^{82} +(-0.141502 + 0.0515026i) q^{83} +(6.92235 - 5.56418i) q^{84} +(0.355515 - 0.298313i) q^{85} +(0.635099 - 1.74492i) q^{86} +(2.75644 - 8.60100i) q^{87} +(-0.243381 + 1.38028i) q^{88} +(3.40271 + 5.89366i) q^{89} +(-0.425379 + 1.52981i) q^{90} +(9.83439 + 2.34980i) q^{91} +(14.7595 + 2.60251i) q^{92} +(5.67547 - 3.57825i) q^{93} +(-1.43902 + 0.253739i) q^{94} +(6.21587 - 1.09603i) q^{95} +(0.193047 + 4.95649i) q^{96} +(12.2644 + 2.16255i) q^{97} +(-1.73932 + 0.0949204i) q^{98} +(3.53773 - 2.42786i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} + O(q^{10}) \) \( 132q - 3q^{2} - 9q^{3} - 3q^{4} - 9q^{5} + 18q^{6} - 6q^{7} - 18q^{8} - 15q^{9} - 9q^{10} + 9q^{11} - 9q^{12} - 42q^{14} - 24q^{15} - 15q^{16} - 9q^{17} - 3q^{18} - 9q^{19} - 18q^{20} + 15q^{21} - 12q^{22} + 30q^{23} - 36q^{24} - 3q^{25} - 12q^{28} + 6q^{29} - 3q^{30} - 9q^{31} - 51q^{32} - 9q^{33} + 18q^{34} - 9q^{35} - 6q^{37} - 9q^{38} - 9q^{39} - 9q^{40} + 27q^{42} - 12q^{43} - 63q^{45} - 6q^{46} + 45q^{47} + 30q^{49} - 9q^{50} + 33q^{51} - 9q^{52} + 45q^{53} + 117q^{54} - 51q^{56} - 3q^{58} - 9q^{59} - 15q^{60} - 63q^{61} + 99q^{62} - 33q^{63} + 18q^{64} - 102q^{65} + 63q^{66} - 3q^{67} + 144q^{68} - 108q^{69} - 15q^{70} + 18q^{71} + 15q^{72} - 33q^{74} - 9q^{75} - 36q^{76} - 57q^{77} + 66q^{78} - 21q^{79} - 72q^{80} + 57q^{81} - 18q^{82} + 90q^{83} + 51q^{84} + 9q^{85} - 33q^{86} - 9q^{87} + 45q^{88} - 9q^{89} - 81q^{90} - 21q^{91} + 150q^{92} - 87q^{93} - 9q^{94} + 27q^{95} - 9q^{96} - 180q^{98} + 96q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.245063 + 0.0432112i 0.173286 + 0.0305549i 0.259618 0.965711i \(-0.416403\pi\)
−0.0863320 + 0.996266i \(0.527515\pi\)
\(3\) 1.36915 + 1.06086i 0.790481 + 0.612487i
\(4\) −1.82120 0.662861i −0.910598 0.331431i
\(5\) 1.99870 + 0.727467i 0.893846 + 0.325333i 0.747784 0.663942i \(-0.231118\pi\)
0.146062 + 0.989275i \(0.453340\pi\)
\(6\) 0.289688 + 0.319140i 0.118264 + 0.130288i
\(7\) 0.302346 + 2.62842i 0.114276 + 0.993449i
\(8\) −0.848674 0.489982i −0.300052 0.173235i
\(9\) 0.749157 + 2.90496i 0.249719 + 0.968318i
\(10\) 0.458373 + 0.264642i 0.144950 + 0.0836870i
\(11\) −0.489168 1.34398i −0.147490 0.405225i 0.843845 0.536588i \(-0.180287\pi\)
−0.991334 + 0.131363i \(0.958065\pi\)
\(12\) −1.79029 2.83959i −0.516813 0.819719i
\(13\) 1.30709 3.59121i 0.362522 0.996021i −0.615613 0.788049i \(-0.711091\pi\)
0.978135 0.207972i \(-0.0666864\pi\)
\(14\) −0.0394834 + 0.657193i −0.0105524 + 0.175642i
\(15\) 1.96479 + 3.11635i 0.507305 + 0.804639i
\(16\) 2.78250 + 2.33479i 0.695625 + 0.583699i
\(17\) 0.109097 0.188961i 0.0264599 0.0458299i −0.852492 0.522740i \(-0.824910\pi\)
0.878952 + 0.476910i \(0.158243\pi\)
\(18\) 0.0580640 + 0.744269i 0.0136858 + 0.175426i
\(19\) 2.56992 1.48374i 0.589579 0.340394i −0.175352 0.984506i \(-0.556106\pi\)
0.764931 + 0.644112i \(0.222773\pi\)
\(20\) −3.15782 2.64972i −0.706109 0.592496i
\(21\) −2.37442 + 3.91945i −0.518142 + 0.855295i
\(22\) −0.0618021 0.350497i −0.0131762 0.0747262i
\(23\) −7.61556 + 1.34283i −1.58795 + 0.279999i −0.896709 0.442621i \(-0.854049\pi\)
−0.691246 + 0.722620i \(0.742938\pi\)
\(24\) −0.642162 1.57118i −0.131081 0.320717i
\(25\) −0.364628 0.305959i −0.0729256 0.0611919i
\(26\) 0.475500 0.823590i 0.0932532 0.161519i
\(27\) −2.05604 + 4.77208i −0.395684 + 0.918387i
\(28\) 1.19165 4.98728i 0.225200 0.942508i
\(29\) −1.78349 4.90009i −0.331185 0.909924i −0.987804 0.155702i \(-0.950236\pi\)
0.656619 0.754223i \(-0.271986\pi\)
\(30\) 0.346835 + 0.848603i 0.0633231 + 0.154933i
\(31\) 1.32486 3.64001i 0.237951 0.653766i −0.762029 0.647543i \(-0.775797\pi\)
0.999981 0.00622334i \(-0.00198096\pi\)
\(32\) 1.84082 + 2.19380i 0.325413 + 0.387813i
\(33\) 0.756026 2.35905i 0.131607 0.410658i
\(34\) 0.0349009 0.0415932i 0.00598545 0.00713318i
\(35\) −1.30779 + 5.47337i −0.221057 + 0.925168i
\(36\) 0.561220 5.78708i 0.0935367 0.964514i
\(37\) 6.01251 0.988450 0.494225 0.869334i \(-0.335452\pi\)
0.494225 + 0.869334i \(0.335452\pi\)
\(38\) 0.693906 0.252561i 0.112566 0.0409708i
\(39\) 5.59937 3.53027i 0.896617 0.565295i
\(40\) −1.33980 1.59671i −0.211841 0.252462i
\(41\) −10.0627 3.66253i −1.57153 0.571990i −0.598190 0.801354i \(-0.704113\pi\)
−0.973341 + 0.229364i \(0.926335\pi\)
\(42\) −0.751248 + 0.857911i −0.115920 + 0.132379i
\(43\) 1.29579 7.34878i 0.197606 1.12068i −0.711053 0.703139i \(-0.751781\pi\)
0.908659 0.417540i \(-0.137108\pi\)
\(44\) 2.77190i 0.417880i
\(45\) −0.615920 + 6.35112i −0.0918159 + 0.946769i
\(46\) −1.92432 −0.283725
\(47\) −5.51793 + 2.00836i −0.804873 + 0.292950i −0.711504 0.702682i \(-0.751986\pi\)
−0.0933687 + 0.995632i \(0.529764\pi\)
\(48\) 1.33278 + 6.14853i 0.192370 + 0.887464i
\(49\) −6.81717 + 1.58938i −0.973882 + 0.227055i
\(50\) −0.0761360 0.0907353i −0.0107673 0.0128319i
\(51\) 0.349832 0.142981i 0.0489862 0.0200213i
\(52\) −4.76094 + 5.67387i −0.660224 + 0.786824i
\(53\) 12.1036 6.98800i 1.66255 0.959875i 0.691063 0.722795i \(-0.257143\pi\)
0.971490 0.237080i \(-0.0761904\pi\)
\(54\) −0.710066 + 1.08062i −0.0966277 + 0.147053i
\(55\) 3.04206i 0.410192i
\(56\) 1.03129 2.37882i 0.137811 0.317883i
\(57\) 5.09265 + 0.694850i 0.674538 + 0.0920351i
\(58\) −0.225328 1.27790i −0.0295870 0.167796i
\(59\) −1.21070 + 1.01590i −0.157620 + 0.132259i −0.718187 0.695850i \(-0.755028\pi\)
0.560567 + 0.828109i \(0.310583\pi\)
\(60\) −1.51255 6.97787i −0.195269 0.900839i
\(61\) 1.45500 + 3.99757i 0.186293 + 0.511837i 0.997319 0.0731735i \(-0.0233127\pi\)
−0.811026 + 0.585010i \(0.801090\pi\)
\(62\) 0.481963 0.834784i 0.0612093 0.106018i
\(63\) −7.40893 + 2.84740i −0.933438 + 0.358739i
\(64\) −3.27598 5.67416i −0.409497 0.709270i
\(65\) 5.22497 6.22688i 0.648078 0.772349i
\(66\) 0.287211 0.545447i 0.0353533 0.0671399i
\(67\) 2.59043 + 14.6911i 0.316471 + 1.79480i 0.563848 + 0.825879i \(0.309321\pi\)
−0.247376 + 0.968920i \(0.579568\pi\)
\(68\) −0.323942 + 0.271820i −0.0392838 + 0.0329630i
\(69\) −11.8514 6.24050i −1.42674 0.751268i
\(70\) −0.557002 + 1.28481i −0.0665745 + 0.153564i
\(71\) −4.29452 + 2.47944i −0.509666 + 0.294256i −0.732696 0.680556i \(-0.761738\pi\)
0.223031 + 0.974811i \(0.428405\pi\)
\(72\) 0.787586 2.83243i 0.0928179 0.333806i
\(73\) 2.46806i 0.288864i 0.989515 + 0.144432i \(0.0461355\pi\)
−0.989515 + 0.144432i \(0.953864\pi\)
\(74\) 1.47344 + 0.259808i 0.171284 + 0.0302020i
\(75\) −0.174652 0.805724i −0.0201671 0.0930370i
\(76\) −5.66384 + 0.998688i −0.649687 + 0.114557i
\(77\) 3.38464 1.69209i 0.385716 0.192831i
\(78\) 1.52475 0.623182i 0.172643 0.0705615i
\(79\) −0.675969 + 3.83361i −0.0760524 + 0.431315i 0.922879 + 0.385091i \(0.125830\pi\)
−0.998931 + 0.0462239i \(0.985281\pi\)
\(80\) 3.86290 + 6.69073i 0.431885 + 0.748047i
\(81\) −7.87753 + 4.35254i −0.875281 + 0.483615i
\(82\) −2.30773 1.33237i −0.254847 0.147136i
\(83\) −0.141502 + 0.0515026i −0.0155319 + 0.00565315i −0.349774 0.936834i \(-0.613742\pi\)
0.334243 + 0.942487i \(0.391520\pi\)
\(84\) 6.92235 5.56418i 0.755290 0.607102i
\(85\) 0.355515 0.298313i 0.0385610 0.0323566i
\(86\) 0.635099 1.74492i 0.0684845 0.188160i
\(87\) 2.75644 8.60100i 0.295521 0.922124i
\(88\) −0.243381 + 1.38028i −0.0259445 + 0.147139i
\(89\) 3.40271 + 5.89366i 0.360686 + 0.624727i 0.988074 0.153980i \(-0.0492092\pi\)
−0.627388 + 0.778707i \(0.715876\pi\)
\(90\) −0.425379 + 1.52981i −0.0448388 + 0.161256i
\(91\) 9.83439 + 2.34980i 1.03092 + 0.246326i
\(92\) 14.7595 + 2.60251i 1.53879 + 0.271330i
\(93\) 5.67547 3.57825i 0.588519 0.371047i
\(94\) −1.43902 + 0.253739i −0.148424 + 0.0261712i
\(95\) 6.21587 1.09603i 0.637735 0.112450i
\(96\) 0.193047 + 4.95649i 0.0197028 + 0.505870i
\(97\) 12.2644 + 2.16255i 1.24526 + 0.219573i 0.757169 0.653219i \(-0.226582\pi\)
0.488092 + 0.872792i \(0.337693\pi\)
\(98\) −1.73932 + 0.0949204i −0.175697 + 0.00958841i
\(99\) 3.53773 2.42786i 0.355556 0.244009i
\(100\) 0.461251 + 0.798910i 0.0461251 + 0.0798910i
\(101\) −1.45464 + 8.24969i −0.144742 + 0.820874i 0.822831 + 0.568286i \(0.192393\pi\)
−0.967574 + 0.252589i \(0.918718\pi\)
\(102\) 0.0919091 0.0199226i 0.00910036 0.00197263i
\(103\) −0.0733066 + 0.201408i −0.00722311 + 0.0198453i −0.943252 0.332078i \(-0.892250\pi\)
0.936029 + 0.351924i \(0.114472\pi\)
\(104\) −2.86892 + 2.40731i −0.281321 + 0.236056i
\(105\) −7.59704 + 6.10649i −0.741395 + 0.595933i
\(106\) 3.26809 1.18949i 0.317425 0.115533i
\(107\) 15.3166 + 8.84302i 1.48071 + 0.854887i 0.999761 0.0218632i \(-0.00695982\pi\)
0.480946 + 0.876750i \(0.340293\pi\)
\(108\) 6.90767 7.32802i 0.664691 0.705139i
\(109\) −0.476343 0.825050i −0.0456254 0.0790255i 0.842311 0.538992i \(-0.181195\pi\)
−0.887936 + 0.459967i \(0.847861\pi\)
\(110\) 0.131451 0.745497i 0.0125334 0.0710804i
\(111\) 8.23204 + 6.37842i 0.781351 + 0.605413i
\(112\) −5.29554 + 8.01949i −0.500382 + 0.757771i
\(113\) −13.8921 + 2.44955i −1.30686 + 0.230434i −0.783346 0.621586i \(-0.786489\pi\)
−0.523510 + 0.852020i \(0.675378\pi\)
\(114\) 1.21799 + 0.390341i 0.114076 + 0.0365588i
\(115\) −16.1981 2.85616i −1.51048 0.266338i
\(116\) 10.1062i 0.938340i
\(117\) 11.4115 + 1.10667i 1.05499 + 0.102311i
\(118\) −0.340597 + 0.196644i −0.0313545 + 0.0181025i
\(119\) 0.529655 + 0.229621i 0.0485534 + 0.0210493i
\(120\) −0.140505 3.60748i −0.0128263 0.329316i
\(121\) 6.85950 5.75580i 0.623591 0.523255i
\(122\) 0.183826 + 1.04253i 0.0166428 + 0.0943862i
\(123\) −9.89196 15.6897i −0.891928 1.41469i
\(124\) −4.82565 + 5.75099i −0.433356 + 0.516454i
\(125\) −5.82364 10.0868i −0.520882 0.902194i
\(126\) −1.93869 + 0.377643i −0.172713 + 0.0336431i
\(127\) −2.41898 + 4.18980i −0.214650 + 0.371785i −0.953164 0.302453i \(-0.902194\pi\)
0.738514 + 0.674238i \(0.235528\pi\)
\(128\) −2.51659 6.91427i −0.222437 0.611141i
\(129\) 9.57015 8.68695i 0.842605 0.764843i
\(130\) 1.54952 1.30020i 0.135902 0.114035i
\(131\) 0.622917 + 3.53274i 0.0544246 + 0.308657i 0.999853 0.0171742i \(-0.00546700\pi\)
−0.945428 + 0.325831i \(0.894356\pi\)
\(132\) −2.94059 + 3.79515i −0.255946 + 0.330326i
\(133\) 4.67690 + 6.30622i 0.405539 + 0.546818i
\(134\) 3.71217i 0.320683i
\(135\) −7.58093 + 8.04225i −0.652463 + 0.692167i
\(136\) −0.185175 + 0.106911i −0.0158787 + 0.00916755i
\(137\) 2.29835 2.73907i 0.196361 0.234014i −0.658875 0.752252i \(-0.728967\pi\)
0.855236 + 0.518238i \(0.173412\pi\)
\(138\) −2.63468 2.04143i −0.224279 0.173778i
\(139\) −3.85722 4.59686i −0.327165 0.389900i 0.577240 0.816574i \(-0.304130\pi\)
−0.904405 + 0.426674i \(0.859685\pi\)
\(140\) 6.00983 9.10120i 0.507923 0.769191i
\(141\) −9.68548 3.10399i −0.815664 0.261403i
\(142\) −1.15957 + 0.422048i −0.0973087 + 0.0354175i
\(143\) −5.46589 −0.457081
\(144\) −4.69794 + 9.83217i −0.391495 + 0.819347i
\(145\) 11.0912i 0.921078i
\(146\) −0.106648 + 0.604829i −0.00882623 + 0.0500560i
\(147\) −11.0199 5.05595i −0.908903 0.417008i
\(148\) −10.9500 3.98546i −0.900081 0.327603i
\(149\) 3.58546 + 4.27298i 0.293732 + 0.350057i 0.892647 0.450756i \(-0.148846\pi\)
−0.598915 + 0.800813i \(0.704401\pi\)
\(150\) −0.00798440 0.205000i −0.000651923 0.0167382i
\(151\) −1.49517 + 0.544196i −0.121675 + 0.0442861i −0.402140 0.915578i \(-0.631734\pi\)
0.280465 + 0.959864i \(0.409511\pi\)
\(152\) −2.90803 −0.235872
\(153\) 0.630655 + 0.175360i 0.0509854 + 0.0141770i
\(154\) 0.902567 0.268413i 0.0727309 0.0216293i
\(155\) 5.29598 6.31151i 0.425384 0.506952i
\(156\) −12.5376 + 2.71771i −1.00381 + 0.217591i
\(157\) −15.9051 18.9549i −1.26936 1.51277i −0.755952 0.654627i \(-0.772826\pi\)
−0.513412 0.858143i \(-0.671619\pi\)
\(158\) −0.331310 + 0.910266i −0.0263576 + 0.0724169i
\(159\) 23.9849 + 3.27254i 1.90213 + 0.259529i
\(160\) 2.08332 + 5.72388i 0.164701 + 0.452513i
\(161\) −5.83205 19.6109i −0.459630 1.54555i
\(162\) −2.11857 + 0.726248i −0.166450 + 0.0570594i
\(163\) −6.48707 + 11.2359i −0.508107 + 0.880066i 0.491849 + 0.870680i \(0.336321\pi\)
−0.999956 + 0.00938604i \(0.997012\pi\)
\(164\) 15.8984 + 13.3404i 1.24146 + 1.04171i
\(165\) 3.22720 4.16505i 0.251237 0.324249i
\(166\) −0.0369024 + 0.00650690i −0.00286419 + 0.000505033i
\(167\) 1.43124 + 8.11696i 0.110753 + 0.628110i 0.988766 + 0.149473i \(0.0477577\pi\)
−0.878013 + 0.478637i \(0.841131\pi\)
\(168\) 3.93557 2.16291i 0.303636 0.166872i
\(169\) −1.22969 1.03183i −0.0945915 0.0793717i
\(170\) 0.100014 0.0577432i 0.00767073 0.00442870i
\(171\) 6.23548 + 6.35394i 0.476839 + 0.485898i
\(172\) −7.23111 + 12.5246i −0.551367 + 0.954995i
\(173\) −18.0347 15.1329i −1.37115 1.15053i −0.972359 0.233491i \(-0.924985\pi\)
−0.398793 0.917041i \(-0.630571\pi\)
\(174\) 1.04716 1.98868i 0.0793851 0.150761i
\(175\) 0.693946 1.05090i 0.0524574 0.0794407i
\(176\) 1.77680 4.88173i 0.133932 0.367974i
\(177\) −2.73537 + 0.106538i −0.205603 + 0.00800787i
\(178\) 0.579205 + 1.59135i 0.0434133 + 0.119277i
\(179\) −7.22926 4.17381i −0.540340 0.311965i 0.204877 0.978788i \(-0.434321\pi\)
−0.745217 + 0.666822i \(0.767654\pi\)
\(180\) 5.33162 11.1584i 0.397396 0.831696i
\(181\) −3.60525 2.08149i −0.267976 0.154716i 0.359992 0.932956i \(-0.382780\pi\)
−0.627967 + 0.778240i \(0.716113\pi\)
\(182\) 2.30851 + 1.00080i 0.171118 + 0.0741846i
\(183\) −2.24875 + 7.01684i −0.166232 + 0.518699i
\(184\) 7.12109 + 2.59187i 0.524974 + 0.191075i
\(185\) 12.0172 + 4.37390i 0.883522 + 0.321576i
\(186\) 1.54547 0.631652i 0.113319 0.0463150i
\(187\) −0.307327 0.0541900i −0.0224740 0.00396277i
\(188\) 11.3805 0.830009
\(189\) −13.1647 3.96131i −0.957587 0.288143i
\(190\) 1.57064 0.113946
\(191\) −0.952580 0.167966i −0.0689263 0.0121536i 0.139079 0.990281i \(-0.455586\pi\)
−0.208005 + 0.978128i \(0.566697\pi\)
\(192\) 1.53417 11.2441i 0.110719 0.811476i
\(193\) 6.76620 + 2.46270i 0.487042 + 0.177269i 0.573857 0.818956i \(-0.305447\pi\)
−0.0868148 + 0.996224i \(0.527669\pi\)
\(194\) 2.91211 + 1.05992i 0.209077 + 0.0760978i
\(195\) 13.7596 2.98259i 0.985347 0.213588i
\(196\) 13.4690 + 1.62426i 0.962068 + 0.116019i
\(197\) 6.90426 + 3.98617i 0.491908 + 0.284003i 0.725366 0.688364i \(-0.241671\pi\)
−0.233458 + 0.972367i \(0.575004\pi\)
\(198\) 0.971878 0.442109i 0.0690684 0.0314193i
\(199\) −3.69994 2.13616i −0.262282 0.151428i 0.363093 0.931753i \(-0.381721\pi\)
−0.625375 + 0.780324i \(0.715054\pi\)
\(200\) 0.159536 + 0.438321i 0.0112809 + 0.0309940i
\(201\) −12.0384 + 22.8624i −0.849126 + 1.61259i
\(202\) −0.712958 + 1.95884i −0.0501635 + 0.137823i
\(203\) 12.3403 6.16927i 0.866117 0.432998i
\(204\) −0.731889 + 0.0285058i −0.0512424 + 0.00199580i
\(205\) −17.4480 14.6406i −1.21862 1.02254i
\(206\) −0.0266678 + 0.0461900i −0.00185804 + 0.00321821i
\(207\) −9.60611 21.1169i −0.667671 1.46772i
\(208\) 12.0217 6.94074i 0.833556 0.481254i
\(209\) −3.25124 2.72811i −0.224893 0.188708i
\(210\) −2.12562 + 1.16820i −0.146682 + 0.0806133i
\(211\) 3.70699 + 21.0234i 0.255199 + 1.44731i 0.795560 + 0.605875i \(0.207177\pi\)
−0.540361 + 0.841433i \(0.681712\pi\)
\(212\) −26.6750 + 4.70353i −1.83205 + 0.323040i
\(213\) −8.51019 1.16114i −0.583108 0.0795603i
\(214\) 3.37140 + 2.82894i 0.230464 + 0.193383i
\(215\) 7.93589 13.7454i 0.541223 0.937426i
\(216\) 4.08314 3.04252i 0.277822 0.207017i
\(217\) 9.96805 + 2.38174i 0.676675 + 0.161683i
\(218\) −0.0810826 0.222773i −0.00549161 0.0150881i
\(219\) −2.61826 + 3.37915i −0.176926 + 0.228342i
\(220\) −2.01647 + 5.54020i −0.135950 + 0.373520i
\(221\) −0.536000 0.638779i −0.0360552 0.0429689i
\(222\) 1.74175 + 1.91883i 0.116899 + 0.128784i
\(223\) 7.92110 9.44000i 0.530436 0.632149i −0.432579 0.901596i \(-0.642396\pi\)
0.963015 + 0.269447i \(0.0868408\pi\)
\(224\) −5.20966 + 5.50172i −0.348085 + 0.367599i
\(225\) 0.615635 1.28844i 0.0410423 0.0858960i
\(226\) −3.51028 −0.233500
\(227\) −17.5438 + 6.38541i −1.16442 + 0.423815i −0.850675 0.525692i \(-0.823806\pi\)
−0.313746 + 0.949507i \(0.601584\pi\)
\(228\) −8.81413 4.64118i −0.583730 0.307370i
\(229\) −12.4826 14.8762i −0.824872 0.983044i 0.175127 0.984546i \(-0.443966\pi\)
−0.999999 + 0.00150162i \(0.999522\pi\)
\(230\) −3.84613 1.39988i −0.253607 0.0923052i
\(231\) 6.42915 + 1.27390i 0.423007 + 0.0838167i
\(232\) −0.887358 + 5.03246i −0.0582579 + 0.330397i
\(233\) 13.1872i 0.863923i −0.901892 0.431961i \(-0.857822\pi\)
0.901892 0.431961i \(-0.142178\pi\)
\(234\) 2.74872 + 0.764308i 0.179689 + 0.0499644i
\(235\) −12.4897 −0.814739
\(236\) 2.87833 1.04763i 0.187363 0.0681947i
\(237\) −4.99242 + 4.53169i −0.324293 + 0.294365i
\(238\) 0.119877 + 0.0791586i 0.00777044 + 0.00513109i
\(239\) 10.0464 + 11.9729i 0.649849 + 0.774460i 0.985891 0.167387i \(-0.0535330\pi\)
−0.336043 + 0.941847i \(0.609089\pi\)
\(240\) −1.80903 + 13.2586i −0.116772 + 0.855840i
\(241\) 4.17444 4.97490i 0.268899 0.320462i −0.614650 0.788800i \(-0.710703\pi\)
0.883549 + 0.468338i \(0.155147\pi\)
\(242\) 1.92972 1.11413i 0.124047 0.0716187i
\(243\) −15.4030 2.39766i −0.988100 0.153810i
\(244\) 8.24483i 0.527821i
\(245\) −14.7817 1.78257i −0.944369 0.113884i
\(246\) −1.74618 4.27240i −0.111333 0.272398i
\(247\) −1.96931 11.1685i −0.125304 0.710634i
\(248\) −2.90791 + 2.44003i −0.184653 + 0.154942i
\(249\) −0.248375 0.0795990i −0.0157401 0.00504438i
\(250\) −0.991293 2.72356i −0.0626949 0.172253i
\(251\) −11.9045 + 20.6191i −0.751403 + 1.30147i 0.195740 + 0.980656i \(0.437289\pi\)
−0.947143 + 0.320812i \(0.896044\pi\)
\(252\) 15.3806 0.274578i 0.968884 0.0172968i
\(253\) 5.53002 + 9.57828i 0.347670 + 0.602182i
\(254\) −0.773849 + 0.922238i −0.0485556 + 0.0578663i
\(255\) 0.803222 0.0312841i 0.0502997 0.00195909i
\(256\) 1.95752 + 11.1017i 0.122345 + 0.693853i
\(257\) −23.2700 + 19.5258i −1.45154 + 1.21799i −0.520096 + 0.854108i \(0.674104\pi\)
−0.931446 + 0.363880i \(0.881452\pi\)
\(258\) 2.72066 1.71531i 0.169381 0.106791i
\(259\) 1.81786 + 15.8034i 0.112956 + 0.981975i
\(260\) −13.6433 + 7.87694i −0.846119 + 0.488507i
\(261\) 12.8984 8.85189i 0.798393 0.547918i
\(262\) 0.892661i 0.0551488i
\(263\) 15.2337 + 2.68611i 0.939348 + 0.165632i 0.622302 0.782778i \(-0.286198\pi\)
0.317047 + 0.948410i \(0.397309\pi\)
\(264\) −1.79751 + 1.63163i −0.110629 + 0.100420i
\(265\) 29.2749 5.16196i 1.79835 0.317097i
\(266\) 0.873636 + 1.74751i 0.0535660 + 0.107147i
\(267\) −1.59352 + 11.6791i −0.0975217 + 0.714750i
\(268\) 5.02045 28.4724i 0.306673 1.73923i
\(269\) 0.343714 + 0.595329i 0.0209566 + 0.0362979i 0.876314 0.481741i \(-0.159995\pi\)
−0.855357 + 0.518039i \(0.826662\pi\)
\(270\) −2.20532 + 1.64328i −0.134212 + 0.100007i
\(271\) 6.24649 + 3.60641i 0.379447 + 0.219074i 0.677578 0.735451i \(-0.263030\pi\)
−0.298131 + 0.954525i \(0.596363\pi\)
\(272\) 0.744748 0.271066i 0.0451570 0.0164358i
\(273\) 10.9720 + 13.6501i 0.664054 + 0.826143i
\(274\) 0.681599 0.571929i 0.0411769 0.0345515i
\(275\) −0.232838 + 0.639718i −0.0140407 + 0.0385765i
\(276\) 17.4472 + 19.2210i 1.05020 + 1.15697i
\(277\) 2.15820 12.2398i 0.129674 0.735417i −0.848748 0.528798i \(-0.822643\pi\)
0.978421 0.206619i \(-0.0662461\pi\)
\(278\) −0.746626 1.29319i −0.0447797 0.0775607i
\(279\) 11.5666 + 1.12171i 0.692474 + 0.0671548i
\(280\) 3.79174 4.00431i 0.226600 0.239303i
\(281\) 2.05517 + 0.362382i 0.122601 + 0.0216179i 0.234612 0.972089i \(-0.424618\pi\)
−0.112011 + 0.993707i \(0.535729\pi\)
\(282\) −2.23942 1.17919i −0.133356 0.0702200i
\(283\) 19.9337 3.51484i 1.18493 0.208936i 0.453758 0.891125i \(-0.350083\pi\)
0.731175 + 0.682189i \(0.238972\pi\)
\(284\) 9.46469 1.66888i 0.561626 0.0990298i
\(285\) 9.67320 + 5.09353i 0.572991 + 0.301715i
\(286\) −1.33949 0.236188i −0.0792055 0.0139661i
\(287\) 6.58424 27.5564i 0.388655 1.62660i
\(288\) −4.99383 + 6.99099i −0.294264 + 0.411948i
\(289\) 8.47620 + 14.6812i 0.498600 + 0.863600i
\(290\) 0.479266 2.71805i 0.0281435 0.159610i
\(291\) 14.4977 + 15.9717i 0.849869 + 0.936275i
\(292\) 1.63598 4.49482i 0.0957384 0.263039i
\(293\) 21.6520 18.1682i 1.26493 1.06140i 0.269786 0.962920i \(-0.413047\pi\)
0.995139 0.0984780i \(-0.0313974\pi\)
\(294\) −2.48209 1.71521i −0.144758 0.100033i
\(295\) −3.15887 + 1.14973i −0.183916 + 0.0669401i
\(296\) −5.10266 2.94602i −0.296586 0.171234i
\(297\) 7.41932 + 0.428921i 0.430512 + 0.0248885i
\(298\) 0.694022 + 1.20208i 0.0402036 + 0.0696347i
\(299\) −5.13186 + 29.1043i −0.296783 + 1.68314i
\(300\) −0.216008 + 1.58315i −0.0124712 + 0.0914033i
\(301\) 19.7074 + 1.18400i 1.13592 + 0.0682448i
\(302\) −0.389925 + 0.0687543i −0.0224377 + 0.00395637i
\(303\) −10.7434 + 9.75191i −0.617191 + 0.560233i
\(304\) 10.6150 + 1.87172i 0.608814 + 0.107350i
\(305\) 9.04841i 0.518111i
\(306\) 0.146973 + 0.0702256i 0.00840187 + 0.00401453i
\(307\) −1.71807 + 0.991927i −0.0980553 + 0.0566122i −0.548226 0.836330i \(-0.684697\pi\)
0.450170 + 0.892943i \(0.351363\pi\)
\(308\) −7.28571 + 0.838072i −0.415142 + 0.0477536i
\(309\) −0.314034 + 0.197991i −0.0178647 + 0.0112633i
\(310\) 1.57058 1.31787i 0.0892028 0.0748500i
\(311\) −2.35895 13.3783i −0.133764 0.758612i −0.975713 0.219054i \(-0.929703\pi\)
0.841949 0.539557i \(-0.181408\pi\)
\(312\) −6.48181 + 0.252455i −0.366960 + 0.0142925i
\(313\) −9.40882 + 11.2130i −0.531818 + 0.633796i −0.963333 0.268310i \(-0.913535\pi\)
0.431515 + 0.902106i \(0.357979\pi\)
\(314\) −3.07868 5.33243i −0.173740 0.300927i
\(315\) −16.8796 + 0.301340i −0.951059 + 0.0169786i
\(316\) 3.77222 6.53368i 0.212204 0.367548i
\(317\) −6.46638 17.7662i −0.363188 0.997850i −0.977895 0.209095i \(-0.932948\pi\)
0.614707 0.788755i \(-0.289274\pi\)
\(318\) 5.73640 + 1.83840i 0.321681 + 0.103092i
\(319\) −5.71319 + 4.79394i −0.319877 + 0.268409i
\(320\) −2.41993 13.7241i −0.135278 0.767201i
\(321\) 11.5895 + 28.3561i 0.646863 + 1.58269i
\(322\) −0.581809 5.05791i −0.0324229 0.281866i
\(323\) 0.647487i 0.0360271i
\(324\) 17.2317 2.70511i 0.957314 0.150284i
\(325\) −1.57537 + 0.909538i −0.0873856 + 0.0504521i
\(326\) −2.07526 + 2.47320i −0.114938 + 0.136978i
\(327\) 0.223076 1.63495i 0.0123361 0.0904131i
\(328\) 6.74539 + 8.03884i 0.372452 + 0.443871i
\(329\) −6.94714 13.8962i −0.383008 0.766123i
\(330\) 0.970844 0.881248i 0.0534432 0.0485111i
\(331\) −11.1300 + 4.05098i −0.611760 + 0.222662i −0.629273 0.777184i \(-0.716647\pi\)
0.0175134 + 0.999847i \(0.494425\pi\)
\(332\) 0.291842 0.0160169
\(333\) 4.50431 + 17.4661i 0.246835 + 0.957135i
\(334\) 2.05101i 0.112226i
\(335\) −5.50977 + 31.2475i −0.301031 + 1.70723i
\(336\) −15.7580 + 5.36208i −0.859667 + 0.292526i
\(337\) 19.6990 + 7.16984i 1.07307 + 0.390566i 0.817324 0.576178i \(-0.195456\pi\)
0.255747 + 0.966744i \(0.417679\pi\)
\(338\) −0.256765 0.306000i −0.0139662 0.0166442i
\(339\) −21.6190 11.3837i −1.17418 0.618279i
\(340\) −0.845203 + 0.307629i −0.0458376 + 0.0166835i
\(341\) −5.54018 −0.300018
\(342\) 1.25352 + 1.82656i 0.0677827 + 0.0987689i
\(343\) −6.23871 17.4378i −0.336858 0.941555i
\(344\) −4.70047 + 5.60181i −0.253433 + 0.302029i
\(345\) −19.1477 21.0944i −1.03088 1.13568i
\(346\) −3.76572 4.48781i −0.202446 0.241266i
\(347\) 10.4749 28.7796i 0.562323 1.54497i −0.253899 0.967231i \(-0.581713\pi\)
0.816222 0.577738i \(-0.196065\pi\)
\(348\) −10.7213 + 13.8370i −0.574721 + 0.741740i
\(349\) −6.58819 18.1009i −0.352658 0.968919i −0.981513 0.191397i \(-0.938698\pi\)
0.628855 0.777523i \(-0.283524\pi\)
\(350\) 0.215471 0.227551i 0.0115174 0.0121631i
\(351\) 14.4501 + 13.6212i 0.771288 + 0.727045i
\(352\) 2.04795 3.54715i 0.109156 0.189064i
\(353\) −14.1346 11.8604i −0.752311 0.631264i 0.183802 0.982963i \(-0.441159\pi\)
−0.936113 + 0.351700i \(0.885604\pi\)
\(354\) −0.674940 0.0920900i −0.0358727 0.00489453i
\(355\) −10.3872 + 1.83154i −0.551294 + 0.0972079i
\(356\) −2.29032 12.9890i −0.121387 0.688418i
\(357\) 0.481583 + 0.876275i 0.0254881 + 0.0463774i
\(358\) −1.59127 1.33523i −0.0841011 0.0705692i
\(359\) −0.675231 + 0.389845i −0.0356373 + 0.0205752i −0.517713 0.855554i \(-0.673216\pi\)
0.482075 + 0.876130i \(0.339883\pi\)
\(360\) 3.63465 5.08824i 0.191563 0.268174i
\(361\) −5.09702 + 8.82829i −0.268264 + 0.464647i
\(362\) −0.793568 0.665883i −0.0417090 0.0349980i
\(363\) 15.4978 0.603612i 0.813423 0.0316814i
\(364\) −16.3528 10.7983i −0.857118 0.565984i
\(365\) −1.79543 + 4.93291i −0.0939771 + 0.258200i
\(366\) −0.854290 + 1.62240i −0.0446545 + 0.0848039i
\(367\) −8.50857 23.3771i −0.444144 1.22027i −0.936743 0.350018i \(-0.886175\pi\)
0.492599 0.870256i \(-0.336047\pi\)
\(368\) −24.3255 14.0444i −1.26806 0.732113i
\(369\) 3.10092 31.9755i 0.161428 1.66458i
\(370\) 2.75597 + 1.59116i 0.143276 + 0.0827205i
\(371\) 22.0268 + 29.7005i 1.14358 + 1.54197i
\(372\) −12.7080 + 2.75464i −0.658881 + 0.142822i
\(373\) 22.5973 + 8.22473i 1.17004 + 0.425860i 0.852675 0.522442i \(-0.174979\pi\)
0.317367 + 0.948303i \(0.397201\pi\)
\(374\) −0.0729728 0.0265599i −0.00377333 0.00137338i
\(375\) 2.72726 19.9885i 0.140835 1.03220i
\(376\) 5.66699 + 0.999243i 0.292253 + 0.0515320i
\(377\) −19.9284 −1.02637
\(378\) −3.05499 1.53963i −0.157132 0.0791901i
\(379\) −30.5872 −1.57116 −0.785579 0.618761i \(-0.787635\pi\)
−0.785579 + 0.618761i \(0.787635\pi\)
\(380\) −12.0468 2.12418i −0.617989 0.108968i
\(381\) −7.75674 + 3.17028i −0.397390 + 0.162418i
\(382\) −0.226184 0.0823242i −0.0115726 0.00421207i
\(383\) 33.8267 + 12.3119i 1.72846 + 0.629109i 0.998519 0.0543988i \(-0.0173242\pi\)
0.729943 + 0.683508i \(0.239546\pi\)
\(384\) 3.88947 12.1364i 0.198484 0.619335i
\(385\) 7.99582 0.919755i 0.407505 0.0468751i
\(386\) 1.55173 + 0.895891i 0.0789809 + 0.0455997i
\(387\) 22.3186 1.74118i 1.13452 0.0885094i
\(388\) −20.9024 12.0680i −1.06116 0.612661i
\(389\) 8.34439 + 22.9260i 0.423077 + 1.16240i 0.949937 + 0.312443i \(0.101147\pi\)
−0.526859 + 0.849953i \(0.676631\pi\)
\(390\) 3.50085 0.136352i 0.177273 0.00690446i
\(391\) −0.577092 + 1.58555i −0.0291848 + 0.0801845i
\(392\) 6.56433 + 1.99143i 0.331549 + 0.100582i
\(393\) −2.89487 + 5.49769i −0.146027 + 0.277322i
\(394\) 1.51973 + 1.27520i 0.0765629 + 0.0642439i
\(395\) −4.13988 + 7.17049i −0.208300 + 0.360786i
\(396\) −8.05224 + 2.07659i −0.404641 + 0.104353i
\(397\) 5.85723 3.38167i 0.293966 0.169721i −0.345763 0.938322i \(-0.612380\pi\)
0.639729 + 0.768601i \(0.279047\pi\)
\(398\) −0.814412 0.683373i −0.0408228 0.0342544i
\(399\) −0.286616 + 13.5957i −0.0143487 + 0.680636i
\(400\) −0.300226 1.70266i −0.0150113 0.0851332i
\(401\) −0.948178 + 0.167189i −0.0473497 + 0.00834904i −0.197273 0.980349i \(-0.563208\pi\)
0.149923 + 0.988698i \(0.452097\pi\)
\(402\) −3.93809 + 5.08253i −0.196414 + 0.253493i
\(403\) −11.3403 9.51567i −0.564902 0.474009i
\(404\) 8.11759 14.0601i 0.403865 0.699515i
\(405\) −18.9111 + 2.96877i −0.939702 + 0.147519i
\(406\) 3.29072 0.978623i 0.163316 0.0485682i
\(407\) −2.94113 8.08068i −0.145786 0.400545i
\(408\) −0.366951 0.0500674i −0.0181668 0.00247871i
\(409\) −9.93846 + 27.3057i −0.491425 + 1.35018i 0.407951 + 0.913004i \(0.366244\pi\)
−0.899376 + 0.437176i \(0.855979\pi\)
\(410\) −3.64321 4.34181i −0.179925 0.214427i
\(411\) 6.05255 1.31198i 0.298551 0.0647150i
\(412\) 0.267011 0.318212i 0.0131547 0.0156772i
\(413\) −3.03626 2.87508i −0.149405 0.141474i
\(414\) −1.44162 5.59006i −0.0708516 0.274736i
\(415\) −0.320287 −0.0157223
\(416\) 10.2845 3.74325i 0.504239 0.183528i
\(417\) −0.404508 10.3858i −0.0198088 0.508593i
\(418\) −0.678873 0.809050i −0.0332048 0.0395719i
\(419\) 22.8869 + 8.33016i 1.11810 + 0.406955i 0.833958 0.551828i \(-0.186069\pi\)
0.284141 + 0.958782i \(0.408292\pi\)
\(420\) 17.8835 6.08535i 0.872623 0.296934i
\(421\) 2.03579 11.5455i 0.0992181 0.562694i −0.894155 0.447758i \(-0.852223\pi\)
0.993373 0.114936i \(-0.0366663\pi\)
\(422\) 5.31223i 0.258595i
\(423\) −9.96800 14.5248i −0.484661 0.706218i
\(424\) −13.6960 −0.665135
\(425\) −0.0975943 + 0.0355214i −0.00473402 + 0.00172304i
\(426\) −2.03536 0.652289i −0.0986134 0.0316035i
\(427\) −10.0674 + 5.03299i −0.487195 + 0.243564i
\(428\) −22.0328 26.2576i −1.06499 1.26921i
\(429\) −7.48364 5.79854i −0.361313 0.279956i
\(430\) 2.53875 3.02556i 0.122429 0.145905i
\(431\) −22.9443 + 13.2469i −1.10519 + 0.638082i −0.937579 0.347772i \(-0.886938\pi\)
−0.167610 + 0.985853i \(0.553605\pi\)
\(432\) −16.8627 + 8.47788i −0.811309 + 0.407892i
\(433\) 23.5474i 1.13161i 0.824538 + 0.565807i \(0.191435\pi\)
−0.824538 + 0.565807i \(0.808565\pi\)
\(434\) 2.33988 + 1.01441i 0.112318 + 0.0486931i
\(435\) 11.7662 15.1856i 0.564148 0.728094i
\(436\) 0.320620 + 1.81833i 0.0153549 + 0.0870821i
\(437\) −17.5790 + 14.7505i −0.840915 + 0.705612i
\(438\) −0.787655 + 0.714965i −0.0376356 + 0.0341624i
\(439\) 1.42802 + 3.92345i 0.0681557 + 0.187256i 0.969094 0.246690i \(-0.0793430\pi\)
−0.900939 + 0.433946i \(0.857121\pi\)
\(440\) −1.49056 + 2.58172i −0.0710595 + 0.123079i
\(441\) −9.72422 18.6129i −0.463058 0.886328i
\(442\) −0.103751 0.179702i −0.00493494 0.00854757i
\(443\) 1.56064 1.85990i 0.0741482 0.0883663i −0.727695 0.685901i \(-0.759408\pi\)
0.801843 + 0.597534i \(0.203853\pi\)
\(444\) −10.7642 17.0731i −0.510844 0.810252i
\(445\) 2.51355 + 14.2550i 0.119153 + 0.675753i
\(446\) 2.34908 1.97111i 0.111232 0.0933350i
\(447\) 0.376008 + 9.65403i 0.0177846 + 0.456620i
\(448\) 13.9236 10.3262i 0.657828 0.487867i
\(449\) 10.0967 5.82936i 0.476495 0.275104i −0.242460 0.970161i \(-0.577954\pi\)
0.718955 + 0.695057i \(0.244621\pi\)
\(450\) 0.206544 0.289147i 0.00973659 0.0136305i
\(451\) 15.3157i 0.721186i
\(452\) 26.9239 + 4.74741i 1.26639 + 0.223299i
\(453\) −2.62443 0.841073i −0.123306 0.0395171i
\(454\) −4.57525 + 0.806740i −0.214727 + 0.0378622i
\(455\) 17.9466 + 11.8507i 0.841349 + 0.555571i
\(456\) −3.98154 3.08501i −0.186452 0.144469i
\(457\) −3.68876 + 20.9200i −0.172553 + 0.978597i 0.768377 + 0.639997i \(0.221064\pi\)
−0.940930 + 0.338600i \(0.890047\pi\)
\(458\) −2.41620 4.18498i −0.112902 0.195551i
\(459\) 0.677431 + 0.909130i 0.0316198 + 0.0424346i
\(460\) 27.6067 + 15.9387i 1.28717 + 0.743147i
\(461\) 25.2929 9.20586i 1.17801 0.428760i 0.322510 0.946566i \(-0.395473\pi\)
0.855498 + 0.517806i \(0.173251\pi\)
\(462\) 1.52050 + 0.589998i 0.0707401 + 0.0274492i
\(463\) 18.3826 15.4248i 0.854311 0.716852i −0.106424 0.994321i \(-0.533940\pi\)
0.960735 + 0.277469i \(0.0894956\pi\)
\(464\) 6.47816 17.7986i 0.300741 0.826279i
\(465\) 13.9466 3.02313i 0.646759 0.140194i
\(466\) 0.569835 3.23170i 0.0263971 0.149705i
\(467\) 3.09488 + 5.36049i 0.143214 + 0.248054i 0.928705 0.370819i \(-0.120923\pi\)
−0.785491 + 0.618873i \(0.787590\pi\)
\(468\) −20.0490 9.57970i −0.926767 0.442822i
\(469\) −37.8311 + 11.2505i −1.74688 + 0.519500i
\(470\) −3.06076 0.539695i −0.141183 0.0248943i
\(471\) −1.66797 42.8253i −0.0768560 1.97328i
\(472\) 1.52527 0.268946i 0.0702061 0.0123792i
\(473\) −10.5105 + 1.85328i −0.483271 + 0.0852138i
\(474\) −1.41928 + 0.894820i −0.0651896 + 0.0411004i
\(475\) −1.39103 0.245276i −0.0638248 0.0112540i
\(476\) −0.812399 0.769272i −0.0372362 0.0352595i
\(477\) 29.3673 + 29.9252i 1.34464 + 1.37018i
\(478\) 1.94464 + 3.36822i 0.0889459 + 0.154059i
\(479\) 2.79921 15.8751i 0.127899 0.725353i −0.851644 0.524121i \(-0.824394\pi\)
0.979543 0.201233i \(-0.0644947\pi\)
\(480\) −3.21984 + 10.0470i −0.146965 + 0.458580i
\(481\) 7.85890 21.5922i 0.358335 0.984518i
\(482\) 1.23797 1.03878i 0.0563881 0.0473152i
\(483\) 12.8194 33.0373i 0.583304 1.50325i
\(484\) −16.3078 + 5.93555i −0.741263 + 0.269798i
\(485\) 22.9397 + 13.2442i 1.04164 + 0.601390i
\(486\) −3.67109 1.25316i −0.166524 0.0568444i
\(487\) −13.0260 22.5617i −0.590265 1.02237i −0.994196 0.107580i \(-0.965690\pi\)
0.403931 0.914789i \(-0.367643\pi\)
\(488\) 0.723921 4.10556i 0.0327704 0.185850i
\(489\) −20.8015 + 8.50184i −0.940678 + 0.384467i
\(490\) −3.54542 1.07558i −0.160166 0.0485897i
\(491\) 10.3899 1.83203i 0.468892 0.0826783i 0.0657902 0.997833i \(-0.479043\pi\)
0.403102 + 0.915155i \(0.367932\pi\)
\(492\) 7.61513 + 35.1310i 0.343316 + 1.58383i
\(493\) −1.12050 0.197575i −0.0504648 0.00889831i
\(494\) 2.82208i 0.126971i
\(495\) 8.83706 2.27898i 0.397196 0.102433i
\(496\) 12.1851 7.03507i 0.547127 0.315884i
\(497\) −7.81544 10.5381i −0.350570 0.472700i
\(498\) −0.0574280 0.0302393i −0.00257341 0.00135506i
\(499\) −6.18372 + 5.18876i −0.276822 + 0.232281i −0.770619 0.637296i \(-0.780053\pi\)
0.493798 + 0.869577i \(0.335608\pi\)
\(500\) 3.91982 + 22.2304i 0.175299 + 0.994173i
\(501\) −6.65137 + 12.6317i −0.297161 + 0.564343i
\(502\) −3.80832 + 4.53858i −0.169974 + 0.202567i
\(503\) −15.6629 27.1289i −0.698373 1.20962i −0.969030 0.246941i \(-0.920575\pi\)
0.270658 0.962676i \(-0.412759\pi\)
\(504\) 7.68295 + 1.21373i 0.342226 + 0.0540639i
\(505\) −8.90877 + 15.4304i −0.396435 + 0.686646i
\(506\) 0.941315 + 2.58624i 0.0418465 + 0.114972i
\(507\) −0.589004 2.71726i −0.0261586 0.120678i
\(508\) 7.18270 6.02700i 0.318681 0.267405i
\(509\) 7.03911 + 39.9208i 0.312003 + 1.76946i 0.588555 + 0.808457i \(0.299697\pi\)
−0.276552 + 0.960999i \(0.589192\pi\)
\(510\) 0.198192 + 0.0270416i 0.00877608 + 0.00119742i
\(511\) −6.48709 + 0.746206i −0.286972 + 0.0330102i
\(512\) 17.5212i 0.774336i
\(513\) 1.79669 + 15.3145i 0.0793257 + 0.676150i
\(514\) −6.54634 + 3.77953i −0.288747 + 0.166708i
\(515\) −0.293036 + 0.349227i −0.0129127 + 0.0153888i
\(516\) −23.1874 + 9.47696i −1.02077 + 0.417200i
\(517\) 5.39839 + 6.43355i 0.237421 + 0.282947i
\(518\) −0.237395 + 3.95138i −0.0104305 + 0.173614i
\(519\) −8.63836 39.8515i −0.379182 1.74929i
\(520\) −7.48536 + 2.72445i −0.328255 + 0.119475i
\(521\) 23.4014 1.02523 0.512616 0.858618i \(-0.328676\pi\)
0.512616 + 0.858618i \(0.328676\pi\)
\(522\) 3.54343 1.61191i 0.155092 0.0705515i
\(523\) 14.0156i 0.612858i 0.951894 + 0.306429i \(0.0991342\pi\)
−0.951894 + 0.306429i \(0.900866\pi\)
\(524\) 1.20726 6.84672i 0.0527395 0.299100i
\(525\) 2.06498 0.702666i 0.0901229 0.0306668i
\(526\) 3.61714 + 1.31653i 0.157715 + 0.0574035i
\(527\) −0.543284 0.647461i −0.0236658 0.0282038i
\(528\) 7.61154 4.79889i 0.331250 0.208845i
\(529\) 34.5807 12.5863i 1.50351 0.547232i
\(530\) 7.39726 0.321316
\(531\) −3.85815 2.75597i −0.167430 0.119599i
\(532\) −4.33741 14.5850i −0.188050 0.632340i
\(533\) −26.3058 + 31.3500i −1.13943 + 1.35792i
\(534\) −0.895181 + 2.79326i −0.0387383 + 0.120876i
\(535\) 24.1802 + 28.8168i 1.04540 + 1.24586i
\(536\) 4.99993 13.7372i 0.215964 0.593356i
\(537\) −5.47013 13.3838i −0.236053 0.577554i
\(538\) 0.0585066 + 0.160745i 0.00252240 + 0.00693023i
\(539\) 5.47084 + 8.38466i 0.235646 + 0.361153i
\(540\) 19.1373 9.62141i 0.823537 0.414040i
\(541\) −11.9247 + 20.6542i −0.512683 + 0.887993i 0.487209 + 0.873285i \(0.338015\pi\)
−0.999892 + 0.0147075i \(0.995318\pi\)
\(542\) 1.37494 + 1.15372i 0.0590589 + 0.0495563i
\(543\) −2.72796 6.67453i −0.117068 0.286432i
\(544\) 0.615371 0.108506i 0.0263838 0.00465218i
\(545\) −0.351870 1.99555i −0.0150724 0.0854801i
\(546\) 2.09898 + 3.81925i 0.0898282 + 0.163449i
\(547\) −0.534982 0.448903i −0.0228742 0.0191937i 0.631279 0.775556i \(-0.282530\pi\)
−0.654153 + 0.756362i \(0.726975\pi\)
\(548\) −6.00137 + 3.46489i −0.256366 + 0.148013i
\(549\) −10.5227 + 7.22151i −0.449100 + 0.308207i
\(550\) −0.0847030 + 0.146710i −0.00361175 + 0.00625573i
\(551\) −11.8539 9.94659i −0.504993 0.423739i
\(552\) 7.00026 + 11.1031i 0.297951 + 0.472581i
\(553\) −10.2807 0.617654i −0.437180 0.0262653i
\(554\) 1.05779 2.90626i 0.0449413 0.123475i
\(555\) 11.8133 + 18.7371i 0.501446 + 0.795346i
\(556\) 3.97768 + 10.9286i 0.168691 + 0.463475i
\(557\) 9.63238 + 5.56126i 0.408137 + 0.235638i 0.689989 0.723820i \(-0.257615\pi\)
−0.281852 + 0.959458i \(0.590949\pi\)
\(558\) 2.78608 + 0.774696i 0.117944 + 0.0327955i
\(559\) −24.6973 14.2590i −1.04458 0.603090i
\(560\) −16.4181 + 12.1762i −0.693792 + 0.514539i
\(561\) −0.363289 0.400225i −0.0153381 0.0168975i
\(562\) 0.487987 + 0.177613i 0.0205845 + 0.00749214i
\(563\) 10.5579 + 3.84276i 0.444962 + 0.161953i 0.554777 0.831999i \(-0.312804\pi\)
−0.109815 + 0.993952i \(0.535026\pi\)
\(564\) 15.5816 + 12.0731i 0.656106 + 0.508370i
\(565\) −29.5481 5.21012i −1.24310 0.219191i
\(566\) 5.03688 0.211716
\(567\) −13.8220 19.3895i −0.580470 0.814281i
\(568\) 4.85953 0.203901
\(569\) 35.5984 + 6.27695i 1.49236 + 0.263143i 0.859505 0.511127i \(-0.170772\pi\)
0.632855 + 0.774270i \(0.281883\pi\)
\(570\) 2.15044 + 1.66623i 0.0900722 + 0.0697906i
\(571\) −18.7772 6.83434i −0.785802 0.286008i −0.0822119 0.996615i \(-0.526198\pi\)
−0.703590 + 0.710607i \(0.748421\pi\)
\(572\) 9.95446 + 3.62313i 0.416217 + 0.151491i
\(573\) −1.12604 1.24052i −0.0470410 0.0518236i
\(574\) 2.80430 6.46853i 0.117049 0.269991i
\(575\) 3.18770 + 1.84042i 0.132936 + 0.0767508i
\(576\) 14.0290 13.7674i 0.584540 0.573642i
\(577\) 26.4773 + 15.2867i 1.10226 + 0.636393i 0.936815 0.349825i \(-0.113759\pi\)
0.165450 + 0.986218i \(0.447092\pi\)
\(578\) 1.44281 + 3.96408i 0.0600129 + 0.164884i
\(579\) 6.65139 + 10.5498i 0.276422 + 0.438434i
\(580\) −7.35196 + 20.1993i −0.305273 + 0.838732i
\(581\) −0.178153 0.356356i −0.00739103 0.0147841i
\(582\) 2.86269 + 4.54052i 0.118662 + 0.188211i
\(583\) −15.3124 12.8486i −0.634175 0.532136i
\(584\) 1.20930 2.09458i 0.0500414 0.0866742i
\(585\) 22.0031 + 10.5134i 0.909717 + 0.434675i
\(586\) 6.09118 3.51674i 0.251624 0.145275i
\(587\) −23.6386 19.8352i −0.975671 0.818685i 0.00775999 0.999970i \(-0.497530\pi\)
−0.983431 + 0.181285i \(0.941974\pi\)
\(588\) 16.7179 + 16.5125i 0.689436 + 0.680965i
\(589\) −1.99607 11.3203i −0.0822467 0.466444i
\(590\) −0.823803 + 0.145259i −0.0339154 + 0.00598021i
\(591\) 5.22421 + 12.7821i 0.214895 + 0.525786i
\(592\) 16.7298 + 14.0380i 0.687591 + 0.576957i
\(593\) 15.8362 27.4292i 0.650316 1.12638i −0.332730 0.943022i \(-0.607970\pi\)
0.983046 0.183358i \(-0.0586968\pi\)
\(594\) 1.79967 + 0.425710i 0.0738412 + 0.0174671i
\(595\) 0.891579 + 0.844250i 0.0365512 + 0.0346109i
\(596\) −3.69743 10.1586i −0.151453 0.416113i
\(597\) −2.79962 6.84984i −0.114581 0.280345i
\(598\) −2.51526 + 6.91062i −0.102857 + 0.282596i
\(599\) −9.55357 11.3855i −0.390348 0.465199i 0.534703 0.845040i \(-0.320423\pi\)
−0.925052 + 0.379841i \(0.875979\pi\)
\(600\) −0.246568 + 0.769374i −0.0100661 + 0.0314095i
\(601\) −11.0892 + 13.2156i −0.452338 + 0.539075i −0.943228 0.332146i \(-0.892227\pi\)
0.490890 + 0.871221i \(0.336672\pi\)
\(602\) 4.77840 + 1.14174i 0.194753 + 0.0465338i
\(603\) −40.7362 + 18.5310i −1.65891 + 0.754640i
\(604\) 3.08372 0.125475
\(605\) 17.8972 6.51406i 0.727626 0.264834i
\(606\) −3.05420 + 1.92560i −0.124068 + 0.0782220i
\(607\) −26.1323 31.1432i −1.06068 1.26407i −0.963188 0.268829i \(-0.913363\pi\)
−0.0974887 0.995237i \(-0.531081\pi\)
\(608\) 7.98578 + 2.90659i 0.323866 + 0.117878i
\(609\) 23.4404 + 4.64460i 0.949854 + 0.188209i
\(610\) −0.390993 + 2.21743i −0.0158308 + 0.0897812i
\(611\) 22.4411i 0.907871i
\(612\) −1.03231 0.737402i −0.0417286 0.0298077i
\(613\) 28.1248 1.13595 0.567975 0.823046i \(-0.307727\pi\)
0.567975 + 0.823046i \(0.307727\pi\)
\(614\) −0.463897 + 0.168845i −0.0187214 + 0.00681402i
\(615\) −8.35734 38.5550i −0.337000 1.55469i
\(616\) −3.70155 0.222385i −0.149140 0.00896015i
\(617\) 2.77984 + 3.31289i 0.111912 + 0.133372i 0.819092 0.573661i \(-0.194477\pi\)
−0.707180 + 0.707033i \(0.750033\pi\)
\(618\) −0.0855134 + 0.0349504i −0.00343985 + 0.00140591i
\(619\) 9.94128 11.8476i 0.399574 0.476193i −0.528316 0.849048i \(-0.677176\pi\)
0.927890 + 0.372854i \(0.121621\pi\)
\(620\) −13.8287 + 7.98399i −0.555373 + 0.320645i
\(621\) 9.24979 39.1030i 0.371181 1.56915i
\(622\) 3.38045i 0.135544i
\(623\) −14.4622 + 10.7257i −0.579417 + 0.429715i
\(624\) 23.8227 + 3.25041i 0.953671 + 0.130121i
\(625\) −3.88859 22.0533i −0.155544 0.882131i
\(626\) −2.79028 + 2.34132i −0.111522 + 0.0935781i
\(627\) −1.55730 7.18431i −0.0621925 0.286914i
\(628\) 16.4018 + 45.0635i 0.654503 + 1.79823i
\(629\) 0.655946 1.13613i 0.0261543 0.0453006i
\(630\) −4.14959 0.655542i −0.165324 0.0261174i
\(631\) −17.0661 29.5593i −0.679389 1.17674i −0.975165 0.221479i \(-0.928911\pi\)
0.295776 0.955257i \(-0.404422\pi\)
\(632\) 2.45208 2.92227i 0.0975384 0.116242i
\(633\) −17.2274 + 32.7168i −0.684727 + 1.30038i
\(634\) −0.816969 4.63326i −0.0324460 0.184010i
\(635\) −7.88276 + 6.61442i −0.312818 + 0.262485i
\(636\) −41.5120 21.8586i −1.64606 0.866750i
\(637\) −3.20287 + 26.5593i −0.126903 + 1.05232i
\(638\) −1.60724 + 0.927943i −0.0636314 + 0.0367376i
\(639\) −10.4199 10.6179i −0.412206 0.420037i
\(640\) 15.6503i 0.618632i
\(641\) 3.26804 + 0.576243i 0.129080 + 0.0227602i 0.237815 0.971311i \(-0.423569\pi\)
−0.108735 + 0.994071i \(0.534680\pi\)
\(642\) 1.61486 + 7.44984i 0.0637333 + 0.294022i
\(643\) −24.9953 + 4.40734i −0.985717 + 0.173808i −0.643196 0.765702i \(-0.722392\pi\)
−0.342521 + 0.939510i \(0.611281\pi\)
\(644\) −2.37799 + 39.5811i −0.0937060 + 1.55972i
\(645\) 25.4473 10.4006i 1.00199 0.409525i
\(646\) 0.0279787 0.158675i 0.00110081 0.00624298i
\(647\) 0.170073 + 0.294574i 0.00668625 + 0.0115809i 0.869349 0.494198i \(-0.164538\pi\)
−0.862663 + 0.505779i \(0.831205\pi\)
\(648\) 8.81812 + 0.165964i 0.346408 + 0.00651969i
\(649\) 1.95759 + 1.13021i 0.0768420 + 0.0443648i
\(650\) −0.425366 + 0.154821i −0.0166842 + 0.00607256i
\(651\) 11.1211 + 13.8357i 0.435870 + 0.542262i
\(652\) 19.2621 16.1628i 0.754362 0.632985i
\(653\) −9.61429 + 26.4150i −0.376236 + 1.03370i 0.596667 + 0.802489i \(0.296491\pi\)
−0.972903 + 0.231212i \(0.925731\pi\)
\(654\) 0.125316 0.391027i 0.00490024 0.0152904i
\(655\) −1.32493 + 7.51404i −0.0517692 + 0.293598i
\(656\) −19.4482 33.6853i −0.759326 1.31519i
\(657\) −7.16959 + 1.84896i −0.279712 + 0.0721349i
\(658\) −1.10201 3.70564i −0.0429610 0.144461i
\(659\) 29.0041 + 5.11420i 1.12984 + 0.199221i 0.707157 0.707057i \(-0.249978\pi\)
0.422682 + 0.906278i \(0.361089\pi\)
\(660\) −8.63822 + 5.44619i −0.336242 + 0.211993i
\(661\) −0.798762 + 0.140843i −0.0310682 + 0.00547817i −0.189161 0.981946i \(-0.560577\pi\)
0.158092 + 0.987424i \(0.449466\pi\)
\(662\) −2.90260 + 0.511806i −0.112813 + 0.0198919i
\(663\) −0.0562104 1.44321i −0.00218303 0.0560495i
\(664\) 0.145325 + 0.0256247i 0.00563969 + 0.000994430i
\(665\) 4.76015 + 16.0065i 0.184591 + 0.620707i
\(666\) 0.349111 + 4.47492i 0.0135278 + 0.173400i
\(667\) 20.1622 + 34.9220i 0.780685 + 1.35219i
\(668\) 2.77385 15.7313i 0.107324 0.608662i
\(669\) 20.8597 4.52163i 0.806483 0.174816i
\(670\) −2.70048 + 7.41951i −0.104329 + 0.286641i
\(671\) 4.66091 3.91097i 0.179933 0.150981i
\(672\) −12.9694 + 2.00598i −0.500304 + 0.0773824i
\(673\) 12.2309 4.45168i 0.471466 0.171600i −0.0953502 0.995444i \(-0.530397\pi\)
0.566816 + 0.823844i \(0.308175\pi\)
\(674\) 4.51767 + 2.60828i 0.174014 + 0.100467i
\(675\) 2.20975 1.11097i 0.0850533 0.0427613i
\(676\) 1.55554 + 2.69428i 0.0598286 + 0.103626i
\(677\) 2.28800 12.9759i 0.0879349 0.498704i −0.908750 0.417341i \(-0.862962\pi\)
0.996685 0.0813620i \(-0.0259270\pi\)
\(678\) −4.80611 3.72391i −0.184577 0.143016i
\(679\) −1.97599 + 32.8898i −0.0758314 + 1.26220i
\(680\) −0.447885 + 0.0789741i −0.0171756 + 0.00302852i
\(681\) −30.7941 9.86887i −1.18003 0.378176i
\(682\) −1.35769 0.239398i −0.0519887 0.00916702i
\(683\) 6.25312i 0.239269i −0.992818 0.119635i \(-0.961828\pi\)
0.992818 0.119635i \(-0.0381723\pi\)
\(684\) −7.14425 15.7050i −0.273167 0.600497i
\(685\) 6.58629 3.80260i 0.251649 0.145290i
\(686\) −0.775365 4.54295i −0.0296036 0.173451i
\(687\) −1.30905 33.6100i −0.0499434 1.28230i
\(688\) 20.7634 17.4226i 0.791598 0.664230i
\(689\) −9.27486 52.6003i −0.353344 2.00391i
\(690\) −3.78087 5.99685i −0.143935 0.228296i
\(691\) −3.35901 + 4.00311i −0.127783 + 0.152286i −0.826142 0.563462i \(-0.809469\pi\)
0.698359 + 0.715747i \(0.253914\pi\)
\(692\) 22.8137 + 39.5145i 0.867246 + 1.50211i
\(693\) 7.45106 + 8.56459i 0.283042 + 0.325342i
\(694\) 3.81061 6.60018i 0.144649 0.250539i
\(695\) −4.36537 11.9937i −0.165588 0.454949i
\(696\) −6.55366 + 5.94884i −0.248416 + 0.225490i
\(697\) −1.78989 + 1.50189i −0.0677968 + 0.0568883i
\(698\) −0.832360 4.72055i −0.0315053 0.178675i
\(699\) 13.9898 18.0553i 0.529142 0.682914i
\(700\) −1.96041 + 1.45391i −0.0740967 + 0.0549526i
\(701\) 21.7945i 0.823166i −0.911372 0.411583i \(-0.864976\pi\)
0.911372 0.411583i \(-0.135024\pi\)
\(702\) 2.95259 + 3.96245i 0.111438 + 0.149553i
\(703\) 15.4517 8.92101i 0.582770 0.336462i
\(704\) −6.02344 + 7.17846i −0.227017 + 0.270548i
\(705\) −17.1003 13.2498i −0.644035 0.499017i
\(706\) −2.95137 3.51731i −0.111076 0.132376i
\(707\) −22.1234 1.32915i −0.832038 0.0499879i
\(708\) 5.05226 + 1.61914i 0.189876 + 0.0608511i
\(709\) −16.2367 + 5.90968i −0.609783 + 0.221943i −0.628408 0.777884i \(-0.716293\pi\)
0.0186255 + 0.999827i \(0.494071\pi\)
\(710\) −2.62465 −0.0985015
\(711\) −11.6429 + 0.908317i −0.436642 + 0.0340645i
\(712\) 6.66907i 0.249934i
\(713\) −5.20161 + 29.4998i −0.194802 + 1.10478i
\(714\) 0.0801532 + 0.235552i 0.00299966 + 0.00881532i
\(715\) −10.9247 3.97626i −0.408560 0.148704i
\(716\) 10.3992 + 12.3933i 0.388638 + 0.463160i
\(717\) 1.05357 + 27.0505i 0.0393463 + 1.01022i
\(718\) −0.182320 + 0.0663590i −0.00680411 + 0.00247649i
\(719\) 24.2323 0.903713 0.451857 0.892091i \(-0.350762\pi\)
0.451857 + 0.892091i \(0.350762\pi\)
\(720\) −16.5424 + 16.2340i −0.616497 + 0.605004i
\(721\) −0.551549 0.131786i −0.0205408 0.00490795i
\(722\) −1.63057 + 1.94324i −0.0606836 + 0.0723199i
\(723\) 10.9931 2.38291i 0.408838 0.0886214i
\(724\) 5.18612 + 6.18058i 0.192741 + 0.229699i
\(725\) −0.848919 + 2.33239i −0.0315281 + 0.0866227i
\(726\) 3.82402 + 0.521755i 0.141923 + 0.0193642i
\(727\) 4.28953 + 11.7854i 0.159090 + 0.437095i 0.993470 0.114094i \(-0.0363965\pi\)
−0.834380 + 0.551189i \(0.814174\pi\)
\(728\) −7.19483 6.81289i −0.266658 0.252502i
\(729\) −18.5454 19.6231i −0.686868 0.726783i
\(730\) −0.653150 + 1.13129i −0.0241742 + 0.0418709i
\(731\) −1.24727 1.04658i −0.0461319 0.0387093i
\(732\) 8.74660 11.2884i 0.323284 0.417232i
\(733\) −17.9357 + 3.16255i −0.662471 + 0.116812i −0.494767 0.869026i \(-0.664747\pi\)
−0.167704 + 0.985837i \(0.553635\pi\)
\(734\) −1.07498 6.09652i −0.0396783 0.225027i
\(735\) −18.3474 18.1219i −0.676753 0.668437i
\(736\) −16.9648 14.2351i −0.625329 0.524713i
\(737\) 18.4773 10.6679i 0.680621 0.392956i
\(738\) 2.14162 7.70202i 0.0788342 0.283515i
\(739\) 24.1785 41.8783i 0.889420 1.54052i 0.0488568 0.998806i \(-0.484442\pi\)
0.840563 0.541714i \(-0.182224\pi\)
\(740\) −18.9864 15.9315i −0.697954 0.585653i
\(741\) 9.15191 17.3805i 0.336204 0.638489i
\(742\) 4.11457 + 8.23029i 0.151051 + 0.302143i
\(743\) 11.3965 31.3117i 0.418098 1.14872i −0.534682 0.845053i \(-0.679569\pi\)
0.952780 0.303662i \(-0.0982092\pi\)
\(744\) −6.56990 + 0.255886i −0.240864 + 0.00938125i
\(745\) 4.05780 + 11.1487i 0.148666 + 0.408457i
\(746\) 5.18235 + 2.99203i 0.189739 + 0.109546i
\(747\) −0.255620 0.372474i −0.00935265 0.0136281i
\(748\) 0.523782 + 0.302406i 0.0191514 + 0.0110570i
\(749\) −18.6123 + 42.9320i −0.680077 + 1.56870i
\(750\) 1.53208 4.78059i 0.0559435 0.174562i
\(751\) −31.1058 11.3216i −1.13507 0.413130i −0.294937 0.955517i \(-0.595299\pi\)
−0.840129 + 0.542387i \(0.817521\pi\)
\(752\) −20.0428 7.29497i −0.730884 0.266020i
\(753\) −38.1730 + 15.6018i −1.39110 + 0.568561i
\(754\) −4.88372 0.861131i −0.177854 0.0313605i
\(755\) −3.38427 −0.123166
\(756\) 21.3496 + 15.9407i 0.776478 + 0.579756i
\(757\) 37.7148 1.37077 0.685384 0.728182i \(-0.259635\pi\)
0.685384 + 0.728182i \(0.259635\pi\)
\(758\) −7.49579 1.32171i −0.272259 0.0480067i
\(759\) −2.58976 + 18.9807i −0.0940023 + 0.688956i
\(760\) −5.81228 2.11550i −0.210834 0.0767371i
\(761\) 5.51061 + 2.00570i 0.199760 + 0.0727065i 0.439962 0.898016i \(-0.354992\pi\)
−0.240203 + 0.970723i \(0.577214\pi\)
\(762\) −2.03788 + 0.441739i −0.0738247 + 0.0160025i
\(763\) 2.02456 1.50148i 0.0732939 0.0543572i
\(764\) 1.62350 + 0.937327i 0.0587361 + 0.0339113i
\(765\) 1.13292 + 0.809273i 0.0409609 + 0.0292593i
\(766\) 7.75765 + 4.47888i 0.280295 + 0.161829i
\(767\) 2.06581 + 5.67576i 0.0745920 + 0.204940i
\(768\) −9.09714 + 17.2765i −0.328265 + 0.623412i
\(769\) −6.33820 + 17.4141i −0.228561 + 0.627967i −0.999965 0.00837935i \(-0.997333\pi\)
0.771404 + 0.636346i \(0.219555\pi\)
\(770\) 1.99922 + 0.120111i 0.0720470 + 0.00432851i
\(771\) −52.5743 + 2.04768i −1.89342 + 0.0737453i
\(772\) −10.6902 8.97011i −0.384747 0.322841i
\(773\)