Properties

Label 41.2.g.a.33.2
Level 41
Weight 2
Character 41.33
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 33.2
Character \(\chi\) = 41.33
Dual form 41.2.g.a.5.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.522120 + 0.718637i) q^{2} +(-0.983583 + 0.983583i) q^{3} +(0.374204 + 1.15168i) q^{4} +(1.02071 - 0.331648i) q^{5} +(-0.193291 - 1.22039i) q^{6} +(0.625712 - 3.95059i) q^{7} +(-2.71264 - 0.881390i) q^{8} +1.06513i q^{9} +O(q^{10})\) \(q+(-0.522120 + 0.718637i) q^{2} +(-0.983583 + 0.983583i) q^{3} +(0.374204 + 1.15168i) q^{4} +(1.02071 - 0.331648i) q^{5} +(-0.193291 - 1.22039i) q^{6} +(0.625712 - 3.95059i) q^{7} +(-2.71264 - 0.881390i) q^{8} +1.06513i q^{9} +(-0.294598 + 0.906679i) q^{10} +(-1.14123 - 2.23980i) q^{11} +(-1.50084 - 0.764715i) q^{12} +(4.25204 - 0.673457i) q^{13} +(2.51234 + 2.51234i) q^{14} +(-0.677748 + 1.33015i) q^{15} +(0.0903637 - 0.0656531i) q^{16} +(-4.26144 + 2.17131i) q^{17} +(-0.765440 - 0.556125i) q^{18} +(0.967006 + 0.153159i) q^{19} +(0.763907 + 1.05143i) q^{20} +(3.27029 + 4.50117i) q^{21} +(2.20546 + 0.349311i) q^{22} +(-1.78427 - 1.29635i) q^{23} +(3.53503 - 1.80119i) q^{24} +(-3.11323 + 2.26189i) q^{25} +(-1.73611 + 3.40730i) q^{26} +(-3.99839 - 3.99839i) q^{27} +(4.78397 - 0.757706i) q^{28} +(1.83197 + 0.933434i) q^{29} +(-0.602033 - 1.18156i) q^{30} +(-2.02631 + 6.23635i) q^{31} -5.60526i q^{32} +(3.32552 + 1.08053i) q^{33} +(0.664599 - 4.19611i) q^{34} +(-0.671536 - 4.23991i) q^{35} +(-1.22669 + 0.398575i) q^{36} +(-3.34992 - 10.3100i) q^{37} +(-0.614959 + 0.614959i) q^{38} +(-3.51983 + 4.84464i) q^{39} -3.06112 q^{40} +(6.18056 - 1.67354i) q^{41} -4.94220 q^{42} +(-1.18522 + 1.63132i) q^{43} +(2.15248 - 2.15248i) q^{44} +(0.353247 + 1.08718i) q^{45} +(1.86321 - 0.605393i) q^{46} +(1.55707 + 9.83098i) q^{47} +(-0.0243050 + 0.153456i) q^{48} +(-8.55823 - 2.78074i) q^{49} -3.41827i q^{50} +(2.05581 - 6.32714i) q^{51} +(2.36674 + 4.64499i) q^{52} +(6.91813 + 3.52496i) q^{53} +(4.96103 - 0.785751i) q^{54} +(-1.90769 - 1.90769i) q^{55} +(-5.17934 + 10.1650i) q^{56} +(-1.10177 + 0.800486i) q^{57} +(-1.62731 + 0.829155i) q^{58} +(7.77045 + 5.64556i) q^{59} +(-1.78553 - 0.282801i) q^{60} +(-0.263416 - 0.362561i) q^{61} +(-3.42369 - 4.71231i) q^{62} +(4.20788 + 0.666462i) q^{63} +(4.20887 + 3.05793i) q^{64} +(4.11674 - 2.09758i) q^{65} +(-2.51283 + 1.82568i) q^{66} +(-1.59206 + 3.12459i) q^{67} +(-4.09531 - 4.09531i) q^{68} +(3.03004 - 0.479912i) q^{69} +(3.39758 + 1.73115i) q^{70} +(-6.39610 - 12.5531i) q^{71} +(0.938792 - 2.88930i) q^{72} +8.75882i q^{73} +(9.15822 + 2.97568i) q^{74} +(0.837360 - 5.28689i) q^{75} +(0.185468 + 1.17100i) q^{76} +(-9.56259 + 3.10707i) q^{77} +(-1.64376 - 5.05897i) q^{78} +(-1.93225 + 1.93225i) q^{79} +(0.0704612 - 0.0969816i) q^{80} +4.67012 q^{81} +(-2.02433 + 5.31537i) q^{82} -2.79623 q^{83} +(-3.96016 + 5.45070i) q^{84} +(-3.62957 + 3.62957i) q^{85} +(-0.553497 - 1.70349i) q^{86} +(-2.72000 + 0.883783i) q^{87} +(1.12162 + 7.08163i) q^{88} +(1.73754 - 10.9704i) q^{89} +(-0.965728 - 0.313784i) q^{90} -17.2194i q^{91} +(0.825300 - 2.54001i) q^{92} +(-4.14092 - 8.12702i) q^{93} +(-7.87788 - 4.01398i) q^{94} +(1.03782 - 0.164375i) q^{95} +(5.51324 + 5.51324i) q^{96} +(1.70702 - 3.35021i) q^{97} +(6.46677 - 4.69838i) q^{98} +(2.38567 - 1.21556i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{9}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.522120 + 0.718637i −0.369195 + 0.508153i −0.952682 0.303969i \(-0.901688\pi\)
0.583487 + 0.812123i \(0.301688\pi\)
\(3\) −0.983583 + 0.983583i −0.567872 + 0.567872i −0.931532 0.363660i \(-0.881527\pi\)
0.363660 + 0.931532i \(0.381527\pi\)
\(4\) 0.374204 + 1.15168i 0.187102 + 0.575841i
\(5\) 1.02071 0.331648i 0.456474 0.148318i −0.0717495 0.997423i \(-0.522858\pi\)
0.528224 + 0.849105i \(0.322858\pi\)
\(6\) −0.193291 1.22039i −0.0789105 0.498222i
\(7\) 0.625712 3.95059i 0.236497 1.49318i −0.528382 0.849007i \(-0.677201\pi\)
0.764878 0.644175i \(-0.222799\pi\)
\(8\) −2.71264 0.881390i −0.959063 0.311618i
\(9\) 1.06513i 0.355042i
\(10\) −0.294598 + 0.906679i −0.0931600 + 0.286717i
\(11\) −1.14123 2.23980i −0.344095 0.675324i 0.652499 0.757789i \(-0.273721\pi\)
−0.996594 + 0.0824655i \(0.973721\pi\)
\(12\) −1.50084 0.764715i −0.433254 0.220754i
\(13\) 4.25204 0.673457i 1.17930 0.186783i 0.464154 0.885755i \(-0.346359\pi\)
0.715150 + 0.698971i \(0.246359\pi\)
\(14\) 2.51234 + 2.51234i 0.671452 + 0.671452i
\(15\) −0.677748 + 1.33015i −0.174994 + 0.343444i
\(16\) 0.0903637 0.0656531i 0.0225909 0.0164133i
\(17\) −4.26144 + 2.17131i −1.03355 + 0.526620i −0.886606 0.462525i \(-0.846944\pi\)
−0.146944 + 0.989145i \(0.546944\pi\)
\(18\) −0.765440 0.556125i −0.180416 0.131080i
\(19\) 0.967006 + 0.153159i 0.221846 + 0.0351370i 0.266368 0.963871i \(-0.414176\pi\)
−0.0445217 + 0.999008i \(0.514176\pi\)
\(20\) 0.763907 + 1.05143i 0.170815 + 0.235106i
\(21\) 3.27029 + 4.50117i 0.713636 + 0.982236i
\(22\) 2.20546 + 0.349311i 0.470206 + 0.0744733i
\(23\) −1.78427 1.29635i −0.372046 0.270307i 0.386013 0.922493i \(-0.373852\pi\)
−0.758059 + 0.652186i \(0.773852\pi\)
\(24\) 3.53503 1.80119i 0.721584 0.367666i
\(25\) −3.11323 + 2.26189i −0.622646 + 0.452379i
\(26\) −1.73611 + 3.40730i −0.340478 + 0.668226i
\(27\) −3.99839 3.99839i −0.769491 0.769491i
\(28\) 4.78397 0.757706i 0.904085 0.143193i
\(29\) 1.83197 + 0.933434i 0.340188 + 0.173334i 0.615735 0.787953i \(-0.288859\pi\)
−0.275547 + 0.961287i \(0.588859\pi\)
\(30\) −0.602033 1.18156i −0.109916 0.215722i
\(31\) −2.02631 + 6.23635i −0.363936 + 1.12008i 0.586708 + 0.809799i \(0.300424\pi\)
−0.950644 + 0.310283i \(0.899576\pi\)
\(32\) 5.60526i 0.990879i
\(33\) 3.32552 + 1.08053i 0.578900 + 0.188096i
\(34\) 0.664599 4.19611i 0.113978 0.719627i
\(35\) −0.671536 4.23991i −0.113510 0.716676i
\(36\) −1.22669 + 0.398575i −0.204448 + 0.0664292i
\(37\) −3.34992 10.3100i −0.550724 1.69495i −0.706976 0.707237i \(-0.749941\pi\)
0.156252 0.987717i \(-0.450059\pi\)
\(38\) −0.614959 + 0.614959i −0.0997595 + 0.0997595i
\(39\) −3.51983 + 4.84464i −0.563624 + 0.775763i
\(40\) −3.06112 −0.484006
\(41\) 6.18056 1.67354i 0.965241 0.261363i
\(42\) −4.94220 −0.762597
\(43\) −1.18522 + 1.63132i −0.180745 + 0.248773i −0.889770 0.456410i \(-0.849135\pi\)
0.709025 + 0.705183i \(0.249135\pi\)
\(44\) 2.15248 2.15248i 0.324499 0.324499i
\(45\) 0.353247 + 1.08718i 0.0526590 + 0.162068i
\(46\) 1.86321 0.605393i 0.274715 0.0892603i
\(47\) 1.55707 + 9.83098i 0.227123 + 1.43400i 0.792857 + 0.609408i \(0.208593\pi\)
−0.565735 + 0.824587i \(0.691407\pi\)
\(48\) −0.0243050 + 0.153456i −0.00350812 + 0.0221494i
\(49\) −8.55823 2.78074i −1.22260 0.397248i
\(50\) 3.41827i 0.483416i
\(51\) 2.05581 6.32714i 0.287871 0.885977i
\(52\) 2.36674 + 4.64499i 0.328208 + 0.644144i
\(53\) 6.91813 + 3.52496i 0.950278 + 0.484191i 0.859193 0.511652i \(-0.170966\pi\)
0.0910855 + 0.995843i \(0.470966\pi\)
\(54\) 4.96103 0.785751i 0.675111 0.106927i
\(55\) −1.90769 1.90769i −0.257233 0.257233i
\(56\) −5.17934 + 10.1650i −0.692118 + 1.35836i
\(57\) −1.10177 + 0.800486i −0.145934 + 0.106027i
\(58\) −1.62731 + 0.829155i −0.213676 + 0.108873i
\(59\) 7.77045 + 5.64556i 1.01163 + 0.734989i 0.964549 0.263902i \(-0.0850096\pi\)
0.0470763 + 0.998891i \(0.485010\pi\)
\(60\) −1.78553 0.282801i −0.230511 0.0365094i
\(61\) −0.263416 0.362561i −0.0337269 0.0464211i 0.791821 0.610754i \(-0.209134\pi\)
−0.825547 + 0.564333i \(0.809134\pi\)
\(62\) −3.42369 4.71231i −0.434809 0.598464i
\(63\) 4.20788 + 0.666462i 0.530143 + 0.0839663i
\(64\) 4.20887 + 3.05793i 0.526109 + 0.382241i
\(65\) 4.11674 2.09758i 0.510618 0.260173i
\(66\) −2.51283 + 1.82568i −0.309308 + 0.224726i
\(67\) −1.59206 + 3.12459i −0.194501 + 0.381729i −0.967574 0.252587i \(-0.918718\pi\)
0.773073 + 0.634317i \(0.218718\pi\)
\(68\) −4.09531 4.09531i −0.496629 0.496629i
\(69\) 3.03004 0.479912i 0.364775 0.0577746i
\(70\) 3.39758 + 1.73115i 0.406088 + 0.206912i
\(71\) −6.39610 12.5531i −0.759078 1.48977i −0.868452 0.495773i \(-0.834885\pi\)
0.109374 0.994001i \(-0.465115\pi\)
\(72\) 0.938792 2.88930i 0.110638 0.340508i
\(73\) 8.75882i 1.02514i 0.858645 + 0.512571i \(0.171307\pi\)
−0.858645 + 0.512571i \(0.828693\pi\)
\(74\) 9.15822 + 2.97568i 1.06462 + 0.345916i
\(75\) 0.837360 5.28689i 0.0966901 0.610477i
\(76\) 0.185468 + 1.17100i 0.0212746 + 0.134322i
\(77\) −9.56259 + 3.10707i −1.08976 + 0.354084i
\(78\) −1.64376 5.05897i −0.186119 0.572815i
\(79\) −1.93225 + 1.93225i −0.217395 + 0.217395i −0.807400 0.590005i \(-0.799126\pi\)
0.590005 + 0.807400i \(0.299126\pi\)
\(80\) 0.0704612 0.0969816i 0.00787781 0.0108429i
\(81\) 4.67012 0.518903
\(82\) −2.02433 + 5.31537i −0.223550 + 0.586984i
\(83\) −2.79623 −0.306926 −0.153463 0.988154i \(-0.549043\pi\)
−0.153463 + 0.988154i \(0.549043\pi\)
\(84\) −3.96016 + 5.45070i −0.432089 + 0.594720i
\(85\) −3.62957 + 3.62957i −0.393682 + 0.393682i
\(86\) −0.553497 1.70349i −0.0596851 0.183692i
\(87\) −2.72000 + 0.883783i −0.291615 + 0.0947515i
\(88\) 1.12162 + 7.08163i 0.119565 + 0.754904i
\(89\) 1.73754 10.9704i 0.184179 1.16286i −0.706326 0.707887i \(-0.749649\pi\)
0.890505 0.454974i \(-0.150351\pi\)
\(90\) −0.965728 0.313784i −0.101797 0.0330757i
\(91\) 17.2194i 1.80509i
\(92\) 0.825300 2.54001i 0.0860435 0.264815i
\(93\) −4.14092 8.12702i −0.429394 0.842732i
\(94\) −7.87788 4.01398i −0.812542 0.414011i
\(95\) 1.03782 0.164375i 0.106479 0.0168645i
\(96\) 5.51324 + 5.51324i 0.562693 + 0.562693i
\(97\) 1.70702 3.35021i 0.173321 0.340162i −0.787962 0.615724i \(-0.788864\pi\)
0.961283 + 0.275561i \(0.0888637\pi\)
\(98\) 6.46677 4.69838i 0.653242 0.474608i
\(99\) 2.38567 1.21556i 0.239769 0.122168i
\(100\) −3.76997 2.73904i −0.376997 0.273904i
\(101\) −1.80537 0.285942i −0.179641 0.0284523i 0.0659658 0.997822i \(-0.478987\pi\)
−0.245607 + 0.969370i \(0.578987\pi\)
\(102\) 3.47354 + 4.78091i 0.343931 + 0.473381i
\(103\) 6.53693 + 8.99731i 0.644103 + 0.886531i 0.998826 0.0484399i \(-0.0154249\pi\)
−0.354723 + 0.934971i \(0.615425\pi\)
\(104\) −12.1278 1.92086i −1.18923 0.188356i
\(105\) 4.83082 + 3.50979i 0.471440 + 0.342521i
\(106\) −6.14527 + 3.13117i −0.596881 + 0.304126i
\(107\) 10.4582 7.59832i 1.01103 0.734557i 0.0466060 0.998913i \(-0.485159\pi\)
0.964425 + 0.264356i \(0.0851595\pi\)
\(108\) 3.10866 6.10110i 0.299131 0.587078i
\(109\) −4.71687 4.71687i −0.451794 0.451794i 0.444156 0.895950i \(-0.353504\pi\)
−0.895950 + 0.444156i \(0.853504\pi\)
\(110\) 2.36698 0.374893i 0.225683 0.0357446i
\(111\) 13.4357 + 6.84582i 1.27526 + 0.649777i
\(112\) −0.202827 0.398070i −0.0191653 0.0376141i
\(113\) −4.03978 + 12.4332i −0.380031 + 1.16961i 0.559991 + 0.828499i \(0.310805\pi\)
−0.940021 + 0.341115i \(0.889195\pi\)
\(114\) 1.20973i 0.113301i
\(115\) −2.25115 0.731443i −0.209921 0.0682074i
\(116\) −0.389490 + 2.45914i −0.0361632 + 0.228326i
\(117\) 0.717317 + 4.52896i 0.0663160 + 0.418703i
\(118\) −8.11422 + 2.63647i −0.746974 + 0.242707i
\(119\) 5.91152 + 18.1938i 0.541908 + 1.66782i
\(120\) 3.01087 3.01087i 0.274854 0.274854i
\(121\) 2.75136 3.78693i 0.250124 0.344266i
\(122\) 0.398084 0.0360408
\(123\) −4.43303 + 7.72516i −0.399713 + 0.696554i
\(124\) −7.94055 −0.713082
\(125\) −5.58171 + 7.68256i −0.499243 + 0.687149i
\(126\) −2.67596 + 2.67596i −0.238394 + 0.238394i
\(127\) 2.84583 + 8.75856i 0.252526 + 0.777196i 0.994307 + 0.106554i \(0.0339816\pi\)
−0.741781 + 0.670643i \(0.766018\pi\)
\(128\) 6.26676 2.03619i 0.553908 0.179976i
\(129\) −0.438772 2.77030i −0.0386318 0.243911i
\(130\) −0.642032 + 4.05363i −0.0563099 + 0.355527i
\(131\) 0.179705 + 0.0583895i 0.0157009 + 0.00510152i 0.316857 0.948473i \(-0.397373\pi\)
−0.301156 + 0.953575i \(0.597373\pi\)
\(132\) 4.23429i 0.368547i
\(133\) 1.21013 3.72441i 0.104932 0.322947i
\(134\) −1.41420 2.77552i −0.122168 0.239769i
\(135\) −5.40725 2.75513i −0.465382 0.237124i
\(136\) 13.4735 2.13399i 1.15534 0.182988i
\(137\) −4.54556 4.54556i −0.388353 0.388353i 0.485746 0.874100i \(-0.338548\pi\)
−0.874100 + 0.485746i \(0.838548\pi\)
\(138\) −1.23717 + 2.42807i −0.105315 + 0.206691i
\(139\) 5.82631 4.23306i 0.494181 0.359043i −0.312609 0.949882i \(-0.601203\pi\)
0.806790 + 0.590838i \(0.201203\pi\)
\(140\) 4.63174 2.35999i 0.391453 0.199456i
\(141\) −11.2011 8.13807i −0.943303 0.685349i
\(142\) 12.3606 + 1.95773i 1.03728 + 0.164289i
\(143\) −6.36097 8.75513i −0.531931 0.732141i
\(144\) 0.0699289 + 0.0962489i 0.00582741 + 0.00802074i
\(145\) 2.17948 + 0.345195i 0.180996 + 0.0286669i
\(146\) −6.29441 4.57316i −0.520929 0.378477i
\(147\) 11.1528 5.68264i 0.919869 0.468697i
\(148\) 10.6203 7.71610i 0.872983 0.634260i
\(149\) −2.20761 + 4.33268i −0.180855 + 0.354947i −0.963580 0.267420i \(-0.913829\pi\)
0.782725 + 0.622367i \(0.213829\pi\)
\(150\) 3.36215 + 3.36215i 0.274518 + 0.274518i
\(151\) −9.40032 + 1.48886i −0.764987 + 0.121162i −0.526721 0.850038i \(-0.676579\pi\)
−0.238266 + 0.971200i \(0.576579\pi\)
\(152\) −2.48814 1.26777i −0.201815 0.102830i
\(153\) −2.31272 4.53897i −0.186972 0.366954i
\(154\) 2.75997 8.49430i 0.222404 0.684490i
\(155\) 7.03751i 0.565266i
\(156\) −6.89662 2.24085i −0.552172 0.179411i
\(157\) 1.23051 7.76915i 0.0982056 0.620046i −0.888668 0.458551i \(-0.848369\pi\)
0.986874 0.161495i \(-0.0516314\pi\)
\(158\) −0.379719 2.39745i −0.0302088 0.190731i
\(159\) −10.2717 + 3.33746i −0.814595 + 0.264678i
\(160\) −1.85897 5.72133i −0.146965 0.452311i
\(161\) −6.23777 + 6.23777i −0.491605 + 0.491605i
\(162\) −2.43837 + 3.35612i −0.191576 + 0.263682i
\(163\) −14.6310 −1.14599 −0.572994 0.819560i \(-0.694218\pi\)
−0.572994 + 0.819560i \(0.694218\pi\)
\(164\) 4.24018 + 6.49179i 0.331102 + 0.506924i
\(165\) 3.75274 0.292151
\(166\) 1.45997 2.00948i 0.113316 0.155966i
\(167\) 0.134117 0.134117i 0.0103783 0.0103783i −0.701899 0.712277i \(-0.747664\pi\)
0.712277 + 0.701899i \(0.247664\pi\)
\(168\) −4.90384 15.0925i −0.378339 1.16441i
\(169\) 5.26255 1.70991i 0.404812 0.131531i
\(170\) −0.713271 4.50342i −0.0547054 0.345396i
\(171\) −0.163133 + 1.02998i −0.0124751 + 0.0787648i
\(172\) −2.32227 0.754553i −0.177072 0.0575341i
\(173\) 5.31858i 0.404364i 0.979348 + 0.202182i \(0.0648033\pi\)
−0.979348 + 0.202182i \(0.935197\pi\)
\(174\) 0.785050 2.41614i 0.0595145 0.183167i
\(175\) 6.98783 + 13.7144i 0.528230 + 1.03671i
\(176\) −0.250176 0.127471i −0.0188577 0.00960848i
\(177\) −13.1958 + 2.09000i −0.991854 + 0.157094i
\(178\) 6.97653 + 6.97653i 0.522913 + 0.522913i
\(179\) 7.56349 14.8442i 0.565322 1.10951i −0.414578 0.910014i \(-0.636071\pi\)
0.979899 0.199492i \(-0.0639293\pi\)
\(180\) −1.11990 + 0.813658i −0.0834727 + 0.0606465i
\(181\) 9.39816 4.78860i 0.698560 0.355934i −0.0683744 0.997660i \(-0.521781\pi\)
0.766934 + 0.641726i \(0.221781\pi\)
\(182\) 12.3745 + 8.99062i 0.917261 + 0.666429i
\(183\) 0.615700 + 0.0975173i 0.0455138 + 0.00720868i
\(184\) 3.69749 + 5.08916i 0.272583 + 0.375178i
\(185\) −6.83859 9.41251i −0.502783 0.692021i
\(186\) 8.00244 + 1.26746i 0.586767 + 0.0929348i
\(187\) 9.72658 + 7.06678i 0.711278 + 0.516774i
\(188\) −10.7395 + 5.47205i −0.783259 + 0.399090i
\(189\) −18.2978 + 13.2942i −1.33097 + 0.967007i
\(190\) −0.423743 + 0.831643i −0.0307416 + 0.0603337i
\(191\) 11.1396 + 11.1396i 0.806032 + 0.806032i 0.984031 0.177999i \(-0.0569623\pi\)
−0.177999 + 0.984031i \(0.556962\pi\)
\(192\) −7.14750 + 1.13205i −0.515827 + 0.0816989i
\(193\) −20.8262 10.6115i −1.49910 0.763831i −0.504097 0.863647i \(-0.668175\pi\)
−0.995006 + 0.0998160i \(0.968175\pi\)
\(194\) 1.51632 + 2.97594i 0.108865 + 0.213660i
\(195\) −1.98601 + 6.11230i −0.142221 + 0.437711i
\(196\) 10.8969i 0.778352i
\(197\) 11.2628 + 3.65951i 0.802442 + 0.260729i 0.681393 0.731918i \(-0.261374\pi\)
0.121048 + 0.992647i \(0.461374\pi\)
\(198\) −0.372060 + 2.34910i −0.0264412 + 0.166943i
\(199\) 1.32526 + 8.36737i 0.0939452 + 0.593147i 0.989083 + 0.147358i \(0.0470769\pi\)
−0.895138 + 0.445789i \(0.852923\pi\)
\(200\) 10.4387 3.39173i 0.738126 0.239832i
\(201\) −1.50737 4.63921i −0.106322 0.327225i
\(202\) 1.14811 1.14811i 0.0807806 0.0807806i
\(203\) 4.83390 6.65329i 0.339273 0.466969i
\(204\) 8.05616 0.564044
\(205\) 5.75351 3.75796i 0.401843 0.262468i
\(206\) −9.87887 −0.688293
\(207\) 1.38078 1.90047i 0.0959705 0.132092i
\(208\) 0.340016 0.340016i 0.0235758 0.0235758i
\(209\) −0.760535 2.34068i −0.0526073 0.161909i
\(210\) −5.04454 + 1.63907i −0.348106 + 0.113107i
\(211\) −1.50316 9.49061i −0.103482 0.653360i −0.983840 0.179050i \(-0.942698\pi\)
0.880358 0.474310i \(-0.157302\pi\)
\(212\) −1.47084 + 9.28655i −0.101018 + 0.637803i
\(213\) 18.6381 + 6.05588i 1.27706 + 0.414942i
\(214\) 11.4829i 0.784953i
\(215\) −0.668741 + 2.05817i −0.0456078 + 0.140366i
\(216\) 7.32205 + 14.3703i 0.498203 + 0.977777i
\(217\) 23.3693 + 11.9073i 1.58641 + 0.808319i
\(218\) 5.85249 0.926943i 0.396380 0.0627805i
\(219\) −8.61503 8.61503i −0.582150 0.582150i
\(220\) 1.48319 2.91092i 0.0999965 0.196254i
\(221\) −16.6575 + 12.1024i −1.12051 + 0.814095i
\(222\) −11.9347 + 6.08104i −0.801005 + 0.408132i
\(223\) −4.32492 3.14224i −0.289618 0.210420i 0.433484 0.901161i \(-0.357284\pi\)
−0.723102 + 0.690742i \(0.757284\pi\)
\(224\) −22.1441 3.50727i −1.47956 0.234340i
\(225\) −2.40921 3.31599i −0.160614 0.221066i
\(226\) −6.82568 9.39475i −0.454038 0.624929i
\(227\) 6.85453 + 1.08565i 0.454951 + 0.0720571i 0.379704 0.925108i \(-0.376026\pi\)
0.0752464 + 0.997165i \(0.476026\pi\)
\(228\) −1.33420 0.969350i −0.0883593 0.0641968i
\(229\) 15.9124 8.10777i 1.05152 0.535777i 0.159232 0.987241i \(-0.449098\pi\)
0.892289 + 0.451465i \(0.149098\pi\)
\(230\) 1.70101 1.23586i 0.112161 0.0814901i
\(231\) 6.34954 12.4617i 0.417769 0.819918i
\(232\) −4.14675 4.14675i −0.272247 0.272247i
\(233\) −4.30559 + 0.681939i −0.282069 + 0.0446753i −0.295866 0.955230i \(-0.595608\pi\)
0.0137971 + 0.999905i \(0.495608\pi\)
\(234\) −3.62921 1.84917i −0.237249 0.120884i
\(235\) 4.84974 + 9.51815i 0.316362 + 0.620896i
\(236\) −3.59416 + 11.0617i −0.233960 + 0.720054i
\(237\) 3.80105i 0.246905i
\(238\) −16.1613 5.25111i −1.04758 0.340379i
\(239\) 1.73930 10.9815i 0.112506 0.710334i −0.865368 0.501138i \(-0.832915\pi\)
0.977874 0.209197i \(-0.0670850\pi\)
\(240\) 0.0260850 + 0.164694i 0.00168378 + 0.0106310i
\(241\) 18.4604 5.99815i 1.18914 0.386375i 0.353385 0.935478i \(-0.385030\pi\)
0.835755 + 0.549103i \(0.185030\pi\)
\(242\) 1.28488 + 3.95446i 0.0825954 + 0.254203i
\(243\) 7.40172 7.40172i 0.474821 0.474821i
\(244\) 0.318983 0.439043i 0.0204208 0.0281068i
\(245\) −9.65767 −0.617006
\(246\) −3.23701 7.21920i −0.206384 0.460279i
\(247\) 4.21489 0.268187
\(248\) 10.9933 15.1310i 0.698076 0.960819i
\(249\) 2.75033 2.75033i 0.174295 0.174295i
\(250\) −2.60665 8.02244i −0.164859 0.507384i
\(251\) −2.21352 + 0.719217i −0.139716 + 0.0453966i −0.378040 0.925789i \(-0.623402\pi\)
0.238324 + 0.971186i \(0.423402\pi\)
\(252\) 0.807053 + 5.09553i 0.0508396 + 0.320988i
\(253\) −0.867287 + 5.47584i −0.0545259 + 0.344263i
\(254\) −7.78009 2.52790i −0.488166 0.158615i
\(255\) 7.13997i 0.447122i
\(256\) −5.02401 + 15.4623i −0.314001 + 0.966395i
\(257\) −8.86149 17.3916i −0.552764 1.08486i −0.983250 0.182263i \(-0.941658\pi\)
0.430485 0.902597i \(-0.358342\pi\)
\(258\) 2.21993 + 1.13111i 0.138207 + 0.0704200i
\(259\) −42.8267 + 6.78308i −2.66112 + 0.421480i
\(260\) 3.95625 + 3.95625i 0.245356 + 0.245356i
\(261\) −0.994226 + 1.95128i −0.0615410 + 0.120781i
\(262\) −0.135788 + 0.0986560i −0.00838903 + 0.00609499i
\(263\) −2.91538 + 1.48546i −0.179770 + 0.0915973i −0.541559 0.840662i \(-0.682166\pi\)
0.361790 + 0.932260i \(0.382166\pi\)
\(264\) −8.06858 5.86217i −0.496587 0.360791i
\(265\) 8.23043 + 1.30357i 0.505592 + 0.0800778i
\(266\) 2.04466 + 2.81423i 0.125366 + 0.172552i
\(267\) 9.08129 + 12.4993i 0.555766 + 0.764946i
\(268\) −4.19429 0.664310i −0.256207 0.0405792i
\(269\) −9.01598 6.55050i −0.549714 0.399391i 0.277966 0.960591i \(-0.410340\pi\)
−0.827680 + 0.561200i \(0.810340\pi\)
\(270\) 4.80317 2.44734i 0.292312 0.148940i
\(271\) −5.17280 + 3.75826i −0.314225 + 0.228298i −0.733707 0.679466i \(-0.762212\pi\)
0.419482 + 0.907764i \(0.362212\pi\)
\(272\) −0.242526 + 0.475984i −0.0147053 + 0.0288608i
\(273\) 16.9368 + 16.9368i 1.02506 + 1.02506i
\(274\) 5.63994 0.893278i 0.340721 0.0539649i
\(275\) 8.61911 + 4.39165i 0.519752 + 0.264827i
\(276\) 1.68656 + 3.31007i 0.101519 + 0.199243i
\(277\) 7.78542 23.9611i 0.467781 1.43968i −0.387671 0.921798i \(-0.626720\pi\)
0.855452 0.517883i \(-0.173280\pi\)
\(278\) 6.39717i 0.383677i
\(279\) −6.64250 2.15828i −0.397676 0.129213i
\(280\) −1.91538 + 12.0932i −0.114466 + 0.722709i
\(281\) −0.531501 3.35577i −0.0317067 0.200188i 0.966750 0.255723i \(-0.0823136\pi\)
−0.998457 + 0.0555350i \(0.982314\pi\)
\(282\) 11.6966 3.80047i 0.696525 0.226315i
\(283\) 2.32829 + 7.16575i 0.138403 + 0.425959i 0.996104 0.0881892i \(-0.0281080\pi\)
−0.857701 + 0.514149i \(0.828108\pi\)
\(284\) 12.0637 12.0637i 0.715849 0.715849i
\(285\) −0.859110 + 1.18246i −0.0508893 + 0.0700431i
\(286\) 9.61295 0.568426
\(287\) −2.74422 25.4640i −0.161986 1.50309i
\(288\) 5.97031 0.351804
\(289\) 3.45290 4.75251i 0.203112 0.279559i
\(290\) −1.38602 + 1.38602i −0.0813898 + 0.0813898i
\(291\) 1.61622 + 4.97421i 0.0947443 + 0.291593i
\(292\) −10.0874 + 3.27759i −0.590319 + 0.191806i
\(293\) −0.934720 5.90159i −0.0546069 0.344775i −0.999832 0.0183540i \(-0.994157\pi\)
0.945225 0.326421i \(-0.105843\pi\)
\(294\) −1.73935 + 10.9819i −0.101441 + 0.640475i
\(295\) 9.80369 + 3.18541i 0.570793 + 0.185462i
\(296\) 30.9199i 1.79718i
\(297\) −4.39249 + 13.5187i −0.254878 + 0.784433i
\(298\) −1.96099 3.84865i −0.113597 0.222947i
\(299\) −8.45982 4.31049i −0.489244 0.249282i
\(300\) 6.40216 1.01400i 0.369629 0.0585435i
\(301\) 5.70305 + 5.70305i 0.328718 + 0.328718i
\(302\) 3.83814 7.53278i 0.220860 0.433463i
\(303\) 2.05698 1.49448i 0.118170 0.0858558i
\(304\) 0.0974376 0.0496469i 0.00558843 0.00284745i
\(305\) −0.389113 0.282707i −0.0222805 0.0161878i
\(306\) 4.46939 + 0.707882i 0.255498 + 0.0404669i
\(307\) 0.432807 + 0.595708i 0.0247016 + 0.0339988i 0.821189 0.570656i \(-0.193311\pi\)
−0.796488 + 0.604655i \(0.793311\pi\)
\(308\) −7.15673 9.85039i −0.407792 0.561278i
\(309\) −15.2792 2.41999i −0.869205 0.137668i
\(310\) −5.05742 3.67443i −0.287242 0.208693i
\(311\) −25.7148 + 13.1024i −1.45816 + 0.742967i −0.990051 0.140706i \(-0.955063\pi\)
−0.468104 + 0.883673i \(0.655063\pi\)
\(312\) 13.8181 10.0394i 0.782293 0.568369i
\(313\) −7.45211 + 14.6256i −0.421218 + 0.826687i 0.578720 + 0.815526i \(0.303553\pi\)
−0.999938 + 0.0111603i \(0.996447\pi\)
\(314\) 4.94072 + 4.94072i 0.278821 + 0.278821i
\(315\) 4.51604 0.715271i 0.254450 0.0403010i
\(316\) −2.94839 1.50228i −0.165860 0.0845098i
\(317\) 15.3313 + 30.0894i 0.861091 + 1.68999i 0.713174 + 0.700987i \(0.247257\pi\)
0.147917 + 0.989000i \(0.452743\pi\)
\(318\) 2.96462 9.12415i 0.166247 0.511657i
\(319\) 5.16850i 0.289380i
\(320\) 5.31018 + 1.72538i 0.296848 + 0.0964519i
\(321\) −2.81292 + 17.7601i −0.157002 + 0.991271i
\(322\) −1.22583 7.73956i −0.0683126 0.431309i
\(323\) −4.45339 + 1.44699i −0.247793 + 0.0805129i
\(324\) 1.74758 + 5.37850i 0.0970878 + 0.298806i
\(325\) −11.7143 + 11.7143i −0.649792 + 0.649792i
\(326\) 7.63914 10.5144i 0.423093 0.582337i
\(327\) 9.27886 0.513122
\(328\) −18.2407 0.907773i −1.00717 0.0501234i
\(329\) 39.8124 2.19493
\(330\) −1.95938 + 2.69686i −0.107861 + 0.148457i
\(331\) −8.52119 + 8.52119i −0.468367 + 0.468367i −0.901385 0.433018i \(-0.857449\pi\)
0.433018 + 0.901385i \(0.357449\pi\)
\(332\) −1.04636 3.22037i −0.0574266 0.176741i
\(333\) 10.9815 3.56809i 0.601781 0.195530i
\(334\) 0.0263562 + 0.166407i 0.00144215 + 0.00910537i
\(335\) −0.588761 + 3.71729i −0.0321675 + 0.203097i
\(336\) 0.591032 + 0.192038i 0.0322434 + 0.0104765i
\(337\) 3.80509i 0.207276i −0.994615 0.103638i \(-0.966952\pi\)
0.994615 0.103638i \(-0.0330484\pi\)
\(338\) −1.51888 + 4.67464i −0.0826163 + 0.254267i
\(339\) −8.25560 16.2025i −0.448383 0.880000i
\(340\) −5.53831 2.82191i −0.300357 0.153040i
\(341\) 16.2806 2.57860i 0.881646 0.139639i
\(342\) −0.655009 0.655009i −0.0354188 0.0354188i
\(343\) −3.62932 + 7.12295i −0.195965 + 0.384603i
\(344\) 4.65290 3.38053i 0.250868 0.182266i
\(345\) 2.93363 1.49476i 0.157941 0.0804751i
\(346\) −3.82213 2.77694i −0.205479 0.149289i
\(347\) −15.9515 2.52648i −0.856324 0.135628i −0.287190 0.957874i \(-0.592721\pi\)
−0.569134 + 0.822245i \(0.692721\pi\)
\(348\) −2.03568 2.80187i −0.109124 0.150196i
\(349\) −0.538696 0.741452i −0.0288358 0.0396890i 0.794356 0.607453i \(-0.207809\pi\)
−0.823191 + 0.567764i \(0.807809\pi\)
\(350\) −13.5042 2.13885i −0.721827 0.114326i
\(351\) −19.6941 14.3086i −1.05119 0.763735i
\(352\) −12.5546 + 6.39691i −0.669164 + 0.340956i
\(353\) −3.48494 + 2.53196i −0.185485 + 0.134763i −0.676653 0.736302i \(-0.736570\pi\)
0.491168 + 0.871065i \(0.336570\pi\)
\(354\) 5.38782 10.5742i 0.286360 0.562012i
\(355\) −10.6917 10.6917i −0.567459 0.567459i
\(356\) 13.2846 2.10408i 0.704084 0.111516i
\(357\) −23.7096 12.0806i −1.25484 0.639375i
\(358\) 6.71853 + 13.1859i 0.355085 + 0.696894i
\(359\) 8.03083 24.7164i 0.423851 1.30448i −0.480239 0.877138i \(-0.659450\pi\)
0.904090 0.427342i \(-0.140550\pi\)
\(360\) 3.26048i 0.171843i
\(361\) −17.1584 5.57511i −0.903075 0.293427i
\(362\) −1.46570 + 9.25409i −0.0770357 + 0.486384i
\(363\) 1.01856 + 6.43096i 0.0534607 + 0.337538i
\(364\) 19.8313 6.44359i 1.03944 0.337736i
\(365\) 2.90485 + 8.94020i 0.152047 + 0.467951i
\(366\) −0.391549 + 0.391549i −0.0204666 + 0.0204666i
\(367\) 8.09990 11.1486i 0.422811 0.581950i −0.543473 0.839427i \(-0.682891\pi\)
0.966285 + 0.257477i \(0.0828910\pi\)
\(368\) −0.246343 −0.0128415
\(369\) 1.78253 + 6.58308i 0.0927949 + 0.342701i
\(370\) 10.3347 0.537278
\(371\) 18.2544 25.1251i 0.947723 1.30443i
\(372\) 7.81019 7.81019i 0.404940 0.404940i
\(373\) 10.7077 + 32.9549i 0.554424 + 1.70634i 0.697460 + 0.716624i \(0.254313\pi\)
−0.143036 + 0.989717i \(0.545687\pi\)
\(374\) −10.1569 + 3.30018i −0.525201 + 0.170648i
\(375\) −2.06636 13.0465i −0.106707 0.673719i
\(376\) 4.44114 28.0403i 0.229034 1.44607i
\(377\) 8.41822 + 2.73525i 0.433561 + 0.140872i
\(378\) 20.0907i 1.03335i
\(379\) −2.94287 + 9.05722i −0.151165 + 0.465238i −0.997752 0.0670121i \(-0.978653\pi\)
0.846587 + 0.532250i \(0.178653\pi\)
\(380\) 0.577667 + 1.13373i 0.0296337 + 0.0581594i
\(381\) −11.4139 5.81566i −0.584751 0.297945i
\(382\) −13.8215 + 2.18911i −0.707171 + 0.112005i
\(383\) −16.7656 16.7656i −0.856684 0.856684i 0.134262 0.990946i \(-0.457134\pi\)
−0.990946 + 0.134262i \(0.957134\pi\)
\(384\) −4.16111 + 8.16664i −0.212346 + 0.416752i
\(385\) −8.73016 + 6.34283i −0.444930 + 0.323261i
\(386\) 18.4996 9.42601i 0.941604 0.479771i
\(387\) −1.73756 1.26241i −0.0883251 0.0641720i
\(388\) 4.49715 + 0.712279i 0.228308 + 0.0361605i
\(389\) −6.45082 8.87880i −0.327070 0.450173i 0.613540 0.789664i \(-0.289745\pi\)
−0.940609 + 0.339491i \(0.889745\pi\)
\(390\) −3.35559 4.61858i −0.169917 0.233871i
\(391\) 10.4183 + 1.65010i 0.526877 + 0.0834492i
\(392\) 20.7645 + 15.0863i 1.04876 + 0.761972i
\(393\) −0.234185 + 0.119323i −0.0118131 + 0.00601907i
\(394\) −8.51040 + 6.18317i −0.428748 + 0.311503i
\(395\) −1.33143 + 2.61308i −0.0669916 + 0.131479i
\(396\) 2.29266 + 2.29266i 0.115211 + 0.115211i
\(397\) −25.3501 + 4.01506i −1.27228 + 0.201510i −0.755809 0.654792i \(-0.772756\pi\)
−0.516476 + 0.856302i \(0.672756\pi\)
\(398\) −6.70505 3.41639i −0.336094 0.171248i
\(399\) 2.47300 + 4.85353i 0.123805 + 0.242980i
\(400\) −0.132823 + 0.408787i −0.00664114 + 0.0204393i
\(401\) 26.7180i 1.33423i 0.744953 + 0.667117i \(0.232472\pi\)
−0.744953 + 0.667117i \(0.767528\pi\)
\(402\) 4.12094 + 1.33897i 0.205534 + 0.0667820i
\(403\) −4.41605 + 27.8818i −0.219979 + 1.38889i
\(404\) −0.346262 2.18621i −0.0172272 0.108768i
\(405\) 4.76683 1.54884i 0.236866 0.0769623i
\(406\) 2.25742 + 6.94763i 0.112034 + 0.344805i
\(407\) −19.2693 + 19.2693i −0.955142 + 0.955142i
\(408\) −11.1534 + 15.3513i −0.552174 + 0.760002i
\(409\) 35.3318 1.74704 0.873522 0.486785i \(-0.161831\pi\)
0.873522 + 0.486785i \(0.161831\pi\)
\(410\) −0.303416 + 6.09680i −0.0149846 + 0.301099i
\(411\) 8.94188 0.441070
\(412\) −7.91590 + 10.8953i −0.389988 + 0.536773i
\(413\) 27.1653 27.1653i 1.33672 1.33672i
\(414\) 0.644820 + 1.98455i 0.0316912 + 0.0975354i
\(415\) −2.85414 + 0.927365i −0.140104 + 0.0455225i
\(416\) −3.77490 23.8338i −0.185080 1.16855i
\(417\) −1.56709 + 9.89423i −0.0767408 + 0.484522i
\(418\) 2.07919 + 0.675571i 0.101697 + 0.0330433i
\(419\) 28.5341i 1.39398i 0.717080 + 0.696991i \(0.245478\pi\)
−0.717080 + 0.696991i \(0.754522\pi\)
\(420\) −2.23446 + 6.87695i −0.109030 + 0.335561i
\(421\) 4.65405 + 9.13410i 0.226825 + 0.445169i 0.976169 0.217012i \(-0.0696311\pi\)
−0.749344 + 0.662181i \(0.769631\pi\)
\(422\) 7.60514 + 3.87501i 0.370212 + 0.188633i
\(423\) −10.4712 + 1.65848i −0.509129 + 0.0806381i
\(424\) −15.6595 15.6595i −0.760494 0.760494i
\(425\) 8.35556 16.3987i 0.405304 0.795454i
\(426\) −14.0833 + 10.2321i −0.682338 + 0.495748i
\(427\) −1.59715 + 0.813788i −0.0772915 + 0.0393820i
\(428\) 12.6644 + 9.20119i 0.612155 + 0.444756i
\(429\) 14.8679 + 2.35485i 0.717831 + 0.113693i
\(430\) −1.12992 1.55520i −0.0544894 0.0749982i
\(431\) 12.2049 + 16.7986i 0.587891 + 0.809162i 0.994533 0.104425i \(-0.0333004\pi\)
−0.406642 + 0.913588i \(0.633300\pi\)
\(432\) −0.623816 0.0988028i −0.0300134 0.00475365i
\(433\) −13.3108 9.67086i −0.639676 0.464752i 0.220063 0.975486i \(-0.429374\pi\)
−0.859739 + 0.510734i \(0.829374\pi\)
\(434\) −20.7586 + 10.5770i −0.996446 + 0.507715i
\(435\) −2.48322 + 1.80417i −0.119061 + 0.0865032i
\(436\) 3.66726 7.19741i 0.175630 0.344693i
\(437\) −1.52685 1.52685i −0.0730392 0.0730392i
\(438\) 10.6892 1.69300i 0.510748 0.0808945i
\(439\) 20.4889 + 10.4396i 0.977882 + 0.498256i 0.868470 0.495741i \(-0.165103\pi\)
0.109411 + 0.993997i \(0.465103\pi\)
\(440\) 3.49345 + 6.85629i 0.166544 + 0.326861i
\(441\) 2.96184 9.11560i 0.141040 0.434076i
\(442\) 18.2896i 0.869948i
\(443\) 0.331688 + 0.107772i 0.0157590 + 0.00512040i 0.316886 0.948464i \(-0.397363\pi\)
−0.301127 + 0.953584i \(0.597363\pi\)
\(444\) −2.85652 + 18.0354i −0.135565 + 0.855921i
\(445\) −1.86479 11.7738i −0.0883996 0.558133i
\(446\) 4.51626 1.46742i 0.213851 0.0694844i
\(447\) −2.09018 6.43293i −0.0988623 0.304267i
\(448\) 14.7141 14.7141i 0.695178 0.695178i
\(449\) −17.2577 + 23.7532i −0.814440 + 1.12098i 0.176183 + 0.984357i \(0.443625\pi\)
−0.990623 + 0.136623i \(0.956375\pi\)
\(450\) 3.64089 0.171633
\(451\) −10.8018 11.9333i −0.508639 0.561917i
\(452\) −15.8308 −0.744617
\(453\) 7.78157 10.7104i 0.365610 0.503219i
\(454\) −4.35908 + 4.35908i −0.204582 + 0.204582i
\(455\) −5.71079 17.5760i −0.267726 0.823976i
\(456\) 3.69426 1.20034i 0.172999 0.0562109i
\(457\) −1.33751 8.44470i −0.0625660 0.395026i −0.999021 0.0442385i \(-0.985914\pi\)
0.936455 0.350788i \(-0.114086\pi\)
\(458\) −2.48164 + 15.6685i −0.115960 + 0.732140i
\(459\) 25.7206 + 8.35714i 1.20054 + 0.390078i
\(460\) 2.86632i 0.133643i
\(461\) 10.8222 33.3073i 0.504041 1.55128i −0.298337 0.954461i \(-0.596432\pi\)
0.802378 0.596817i \(-0.203568\pi\)
\(462\) 5.64020 + 11.0695i 0.262406 + 0.515000i
\(463\) −4.11872 2.09859i −0.191413 0.0975298i 0.355657 0.934616i \(-0.384257\pi\)
−0.547070 + 0.837087i \(0.684257\pi\)
\(464\) 0.226826 0.0359258i 0.0105301 0.00166781i
\(465\) −6.92198 6.92198i −0.320999 0.320999i
\(466\) 1.75797 3.45021i 0.0814364 0.159828i
\(467\) 22.3850 16.2637i 1.03585 0.752592i 0.0663821 0.997794i \(-0.478854\pi\)
0.969472 + 0.245202i \(0.0788544\pi\)
\(468\) −4.94750 + 2.52088i −0.228698 + 0.116528i
\(469\) 11.3478 + 8.24465i 0.523992 + 0.380703i
\(470\) −9.37224 1.48442i −0.432309 0.0684711i
\(471\) 6.43130 + 8.85192i 0.296338 + 0.407875i
\(472\) −16.1025 22.1632i −0.741176 1.02014i
\(473\) 5.00643 + 0.792941i 0.230196 + 0.0364595i
\(474\) 2.73158 + 1.98461i 0.125465 + 0.0911560i
\(475\) −3.35694 + 1.71045i −0.154027 + 0.0784807i
\(476\) −18.7414 + 13.6164i −0.859009 + 0.624106i
\(477\) −3.75453 + 7.36869i −0.171908 + 0.337389i
\(478\) 6.98359 + 6.98359i 0.319422 + 0.319422i
\(479\) 5.04854 0.799610i 0.230674 0.0365351i −0.0400274 0.999199i \(-0.512745\pi\)
0.270701 + 0.962663i \(0.412745\pi\)
\(480\) 7.45586 + 3.79895i 0.340312 + 0.173398i
\(481\) −21.1873 41.5825i −0.966060 1.89600i
\(482\) −5.32807 + 16.3981i −0.242687 + 0.746913i
\(483\) 12.2707i 0.558338i
\(484\) 5.39091 + 1.75161i 0.245041 + 0.0796188i
\(485\) 0.631275 3.98571i 0.0286647 0.180982i
\(486\) 1.45456 + 9.18374i 0.0659802 + 0.416583i
\(487\) 21.2814 6.91475i 0.964353 0.313337i 0.215819 0.976433i \(-0.430758\pi\)
0.748534 + 0.663096i \(0.230758\pi\)
\(488\) 0.394994 + 1.21567i 0.0178806 + 0.0550307i
\(489\) 14.3908 14.3908i 0.650774 0.650774i
\(490\) 5.04247 6.94036i 0.227796 0.313534i
\(491\) −40.1125 −1.81025 −0.905125 0.425146i \(-0.860223\pi\)
−0.905125 + 0.425146i \(0.860223\pi\)
\(492\) −10.5558 2.21465i −0.475892 0.0998443i
\(493\) −9.83359 −0.442883
\(494\) −2.20068 + 3.02898i −0.0990133 + 0.136280i
\(495\) 2.03193 2.03193i 0.0913285 0.0913285i
\(496\) 0.226330 + 0.696573i 0.0101625 + 0.0312771i
\(497\) −53.5941 + 17.4138i −2.40402 + 0.781114i
\(498\) 0.540485 + 3.41249i 0.0242197 + 0.152917i
\(499\) −4.96084 + 31.3215i −0.222078 + 1.40214i 0.584682 + 0.811263i \(0.301219\pi\)
−0.806759 + 0.590880i \(0.798781\pi\)
\(500\) −10.9366 3.55351i −0.489098 0.158918i
\(501\) 0.263831i 0.0117871i
\(502\) 0.638869 1.96624i 0.0285141 0.0877574i
\(503\) 1.60627 + 3.15248i 0.0716200 + 0.140562i 0.924040 0.382295i \(-0.124866\pi\)
−0.852420 + 0.522857i \(0.824866\pi\)
\(504\) −10.8270 5.51665i −0.482275 0.245731i
\(505\) −1.93759 + 0.306883i −0.0862214 + 0.0136561i
\(506\) −3.48231 3.48231i −0.154808 0.154808i
\(507\) −3.49432 + 6.85799i −0.155188 + 0.304574i
\(508\) −9.02216 + 6.55498i −0.400294 + 0.290830i
\(509\) −4.40168 + 2.24277i −0.195101 + 0.0994090i −0.548812 0.835946i \(-0.684920\pi\)
0.353711 + 0.935355i \(0.384920\pi\)
\(510\) 5.13105 + 3.72792i 0.227207 + 0.165075i
\(511\) 34.6025 + 5.48050i 1.53072 + 0.242443i
\(512\) −0.742519 1.02199i −0.0328150 0.0451660i
\(513\) −3.25408 4.47886i −0.143671 0.197746i
\(514\) 17.1250 + 2.71234i 0.755353 + 0.119636i
\(515\) 9.65623 + 7.01567i 0.425505 + 0.309147i
\(516\) 3.02632 1.54199i 0.133226 0.0678821i
\(517\) 20.2424 14.7070i 0.890260 0.646811i
\(518\) 17.4861 34.3184i 0.768295 1.50786i
\(519\) −5.23127 5.23127i −0.229627 0.229627i
\(520\) −13.0160 + 2.06153i −0.570790 + 0.0904042i
\(521\) −1.05069 0.535356i −0.0460318 0.0234544i 0.430823 0.902436i \(-0.358223\pi\)
−0.476855 + 0.878982i \(0.658223\pi\)
\(522\) −0.883155 1.73329i −0.0386547 0.0758640i
\(523\) 0.00907992 0.0279451i 0.000397037 0.00122195i −0.950858 0.309628i \(-0.899796\pi\)
0.951255 + 0.308406i \(0.0997955\pi\)
\(524\) 0.228812i 0.00999571i
\(525\) −20.3624 6.61613i −0.888686 0.288752i
\(526\) 0.454672 2.87069i 0.0198246 0.125168i
\(527\) −4.90605 30.9756i −0.213711 1.34932i
\(528\) 0.371447 0.120690i 0.0161652 0.00525238i
\(529\) −5.60429 17.2482i −0.243665 0.749923i
\(530\) −5.23407 + 5.23407i −0.227354 + 0.227354i
\(531\) −6.01324 + 8.27651i −0.260952 + 0.359170i
\(532\) 4.74217 0.205599
\(533\) 25.1529 11.2783i 1.08949 0.488517i
\(534\) −13.7240 −0.593896
\(535\) 8.15478 11.2241i 0.352562 0.485260i
\(536\) 7.07266 7.07266i 0.305492 0.305492i
\(537\) 7.16117 + 22.0398i 0.309027 + 0.951088i
\(538\) 9.41486 3.05907i 0.405903 0.131886i
\(539\) 3.53865 + 22.3422i 0.152420 + 0.962345i
\(540\) 1.14962 7.25842i 0.0494718 0.312353i
\(541\) 33.9890 + 11.0437i 1.46130 + 0.474806i 0.928467 0.371414i \(-0.121127\pi\)
0.532834 + 0.846220i \(0.321127\pi\)
\(542\) 5.67963i 0.243961i
\(543\) −4.53389 + 13.9539i −0.194568 + 0.598818i
\(544\) 12.1708 + 23.8864i 0.521817 + 1.02412i
\(545\) −6.37888 3.25020i −0.273241 0.139223i
\(546\) −21.0144 + 3.32835i −0.899333 + 0.142440i
\(547\) −4.84258 4.84258i −0.207054 0.207054i 0.595960 0.803014i \(-0.296772\pi\)
−0.803014 + 0.595960i \(0.796772\pi\)
\(548\) 3.53407 6.93601i 0.150968 0.296292i
\(549\) 0.386173 0.280571i 0.0164815 0.0119745i
\(550\) −7.65622 + 3.90104i −0.326462 + 0.166341i
\(551\) 1.62856 + 1.18322i 0.0693790 + 0.0504068i
\(552\) −8.64241 1.36882i −0.367845 0.0582610i
\(553\) 6.42448 + 8.84253i 0.273197 + 0.376023i
\(554\) 13.1544 + 18.1054i 0.558876 + 0.769227i
\(555\) 15.9843 + 2.53167i 0.678496 + 0.107463i
\(556\) 7.05537 + 5.12603i 0.299214 + 0.217392i
\(557\) −21.5323 + 10.9713i −0.912355 + 0.464868i −0.846154 0.532938i \(-0.821088\pi\)
−0.0662005 + 0.997806i \(0.521088\pi\)
\(558\) 5.01921 3.64667i 0.212480 0.154376i
\(559\) −3.94098 + 7.73462i −0.166686 + 0.327139i
\(560\) −0.339046 0.339046i −0.0143273 0.0143273i
\(561\) −16.5177 + 2.61614i −0.697377 + 0.110454i
\(562\) 2.68909 + 1.37016i 0.113432 + 0.0577966i
\(563\) 3.35567 + 6.58588i 0.141425 + 0.277562i 0.950844 0.309669i \(-0.100218\pi\)
−0.809420 + 0.587231i \(0.800218\pi\)
\(564\) 5.18098 15.9454i 0.218159 0.671423i
\(565\) 14.0304i 0.590264i
\(566\) −6.36522 2.06819i −0.267550 0.0869323i
\(567\) 2.92215 18.4497i 0.122719 0.774816i
\(568\) 6.28618 + 39.6894i 0.263762 + 1.66533i
\(569\) −3.63848 + 1.18221i −0.152533 + 0.0495609i −0.384288 0.923213i \(-0.625553\pi\)
0.231755 + 0.972774i \(0.425553\pi\)
\(570\) −0.401203 1.23478i −0.0168046 0.0517191i
\(571\) −7.80695 + 7.80695i −0.326710 + 0.326710i −0.851334 0.524624i \(-0.824206\pi\)
0.524624 + 0.851334i \(0.324206\pi\)
\(572\) 7.70283 10.6020i 0.322071 0.443293i
\(573\) −21.9134 −0.915446
\(574\) 19.7322 + 11.3232i 0.823605 + 0.472620i
\(575\) 8.48705 0.353934
\(576\) −3.25708 + 4.48298i −0.135712 + 0.186791i
\(577\) −7.23096 + 7.23096i −0.301029 + 0.301029i −0.841416 0.540388i \(-0.818278\pi\)
0.540388 + 0.841416i \(0.318278\pi\)
\(578\) 1.61250 + 4.96276i 0.0670712 + 0.206424i
\(579\) 30.9216 10.0470i 1.28506 0.417540i
\(580\) 0.418014 + 2.63924i 0.0173571 + 0.109588i
\(581\) −1.74963 + 11.0468i −0.0725871 + 0.458297i
\(582\) −4.41851 1.43566i −0.183153 0.0595100i
\(583\) 19.5180i 0.808353i
\(584\) 7.71994 23.7595i 0.319453 0.983176i
\(585\) 2.23419 + 4.38485i 0.0923725 + 0.181291i
\(586\) 4.72914 + 2.40962i 0.195359 + 0.0995403i
\(587\) 11.6235 1.84098i 0.479754 0.0759855i 0.0881260 0.996109i \(-0.471912\pi\)
0.391628 + 0.920124i \(0.371912\pi\)
\(588\) 10.7180 + 10.7180i 0.442004 + 0.442004i
\(589\) −2.91461 + 5.72024i −0.120094 + 0.235698i
\(590\) −7.40786 + 5.38213i −0.304977 + 0.221579i
\(591\) −14.6773 + 7.47848i −0.603745 + 0.307623i
\(592\) −0.979595 0.711718i −0.0402611 0.0292514i
\(593\) −26.9781 4.27291i −1.10786 0.175467i −0.424412 0.905469i \(-0.639519\pi\)
−0.683445 + 0.730002i \(0.739519\pi\)
\(594\) −7.42162 10.2150i −0.304513 0.419126i
\(595\) 12.0679 + 16.6100i 0.494734 + 0.680943i
\(596\) −5.81597 0.921160i −0.238232 0.0377322i
\(597\) −9.53351 6.92650i −0.390181 0.283483i
\(598\) 7.51472 3.82894i 0.307300 0.156577i
\(599\) 8.16465 5.93196i 0.333598 0.242373i −0.408358 0.912822i \(-0.633898\pi\)
0.741956 + 0.670449i \(0.233898\pi\)
\(600\) −6.93126 + 13.6034i −0.282968 + 0.555355i
\(601\) −9.88133 9.88133i −0.403068 0.403068i 0.476245 0.879313i \(-0.341998\pi\)
−0.879313 + 0.476245i \(0.841998\pi\)
\(602\) −7.07611 + 1.12074i −0.288401 + 0.0456782i
\(603\) −3.32808 1.69574i −0.135530 0.0690560i
\(604\) −5.23234 10.2690i −0.212901 0.417841i
\(605\) 1.55241 4.77783i 0.0631145 0.194246i
\(606\) 2.25852i 0.0917461i
\(607\) 5.95620 + 1.93529i 0.241755 + 0.0785509i 0.427388 0.904068i \(-0.359434\pi\)
−0.185634 + 0.982619i \(0.559434\pi\)
\(608\) 0.858493 5.42031i 0.0348165 0.219823i
\(609\) 1.78952 + 11.2986i 0.0725151 + 0.457843i
\(610\) 0.406327 0.132024i 0.0164517 0.00534549i
\(611\) 13.2415 + 40.7531i 0.535693 + 1.64869i
\(612\) 4.36202 4.36202i 0.176324 0.176324i
\(613\) 13.8469 19.0586i 0.559270 0.769769i −0.431963 0.901891i \(-0.642179\pi\)
0.991233 + 0.132122i \(0.0421790\pi\)
\(614\) −0.654075 −0.0263963
\(615\) −1.96279 + 9.35533i −0.0791474 + 0.377243i
\(616\) 28.6784 1.15549
\(617\) −19.5926 + 26.9669i −0.788768 + 1.08565i 0.205492 + 0.978659i \(0.434121\pi\)
−0.994260 + 0.106988i \(0.965879\pi\)
\(618\) 9.71669 9.71669i 0.390863 0.390863i
\(619\) −13.3135 40.9747i −0.535115 1.64691i −0.743401 0.668846i \(-0.766789\pi\)
0.208286 0.978068i \(-0.433211\pi\)
\(620\) −8.10498 + 2.63347i −0.325504 + 0.105763i
\(621\) 1.95090 + 12.3175i 0.0782870 + 0.494285i
\(622\) 4.01040 25.3207i 0.160802 1.01527i
\(623\) −42.2523 13.7286i −1.69280 0.550025i
\(624\) 0.668867i 0.0267761i
\(625\) 2.79636 8.60631i 0.111854 0.344252i
\(626\) −6.61959 12.9917i −0.264572 0.519252i
\(627\) 3.05031 + 1.55421i 0.121818 + 0.0620692i
\(628\) 9.40806 1.49009i 0.375422 0.0594611i
\(629\) 36.6617 + 36.6617i 1.46180 + 1.46180i
\(630\) −1.84390 + 3.61885i −0.0734627 + 0.144179i
\(631\) 5.88538 4.27598i 0.234293 0.170224i −0.464444 0.885603i \(-0.653746\pi\)
0.698737 + 0.715379i \(0.253746\pi\)
\(632\) 6.94455 3.53842i 0.276239 0.140751i
\(633\) 10.8133 + 7.85632i 0.429790 + 0.312261i
\(634\) −29.6281 4.69263i −1.17668 0.186368i
\(635\) 5.80952 + 7.99611i 0.230544 + 0.317316i
\(636\) −7.68740 10.5808i −0.304825 0.419556i
\(637\) −38.2626 6.06020i −1.51602 0.240114i
\(638\) 3.71428 + 2.69858i 0.147050 + 0.106838i
\(639\) 13.3706 6.81266i 0.528933 0.269505i
\(640\) 5.72123 4.15671i 0.226151 0.164309i
\(641\) 13.9831 27.4433i 0.552297 1.08394i −0.431070 0.902318i \(-0.641864\pi\)
0.983368 0.181626i \(-0.0581361\pi\)
\(642\) −11.2944 11.2944i −0.445753 0.445753i
\(643\) 15.0094 2.37726i 0.591914 0.0937500i 0.146711 0.989179i \(-0.453131\pi\)
0.445203 + 0.895429i \(0.353131\pi\)
\(644\) −9.51814 4.84973i −0.375067 0.191106i
\(645\) −1.36662 2.68215i −0.0538107 0.105609i
\(646\) 1.28534 3.95587i 0.0505711 0.155642i
\(647\) 5.82135i 0.228861i −0.993431 0.114430i \(-0.963496\pi\)
0.993431 0.114430i \(-0.0365043\pi\)
\(648\) −12.6684 4.11620i −0.497660 0.161700i
\(649\) 3.77701 23.8471i 0.148261 0.936081i
\(650\) −2.30205 14.5346i −0.0902940 0.570094i
\(651\) −34.6975 + 11.2739i −1.35990 + 0.441859i
\(652\) −5.47498 16.8503i −0.214417 0.659907i
\(653\) −7.96838 + 7.96838i −0.311827 + 0.311827i −0.845617 0.533790i \(-0.820767\pi\)
0.533790 + 0.845617i \(0.320767\pi\)
\(654\) −4.84468 + 6.66814i −0.189442 + 0.260745i
\(655\) 0.202791 0.00792368
\(656\) 0.448625 0.557000i 0.0175159 0.0217472i
\(657\) −9.32926 −0.363969
\(658\) −20.7869 + 28.6107i −0.810356 + 1.11536i
\(659\) −18.7955 + 18.7955i −0.732169 + 0.732169i −0.971049 0.238880i \(-0.923220\pi\)
0.238880 + 0.971049i \(0.423220\pi\)
\(660\) 1.40429 + 4.32197i 0.0546620 + 0.168232i
\(661\) 2.86486 0.930849i 0.111430 0.0362058i −0.252771 0.967526i \(-0.581342\pi\)
0.364201 + 0.931320i \(0.381342\pi\)
\(662\) −1.67456 10.5727i −0.0650835 0.410921i
\(663\) 4.48034 28.2878i 0.174002 1.09861i
\(664\) 7.58517 + 2.46457i 0.294362 + 0.0956439i
\(665\) 4.20287i 0.162980i
\(666\) −3.16948 + 9.75466i −0.122815 + 0.377986i
\(667\) −2.05867 4.04037i −0.0797120 0.156444i
\(668\) 0.204647 + 0.104273i 0.00791805 + 0.00403445i
\(669\) 7.34458 1.16327i 0.283958 0.0449745i
\(670\) −2.36398 2.36398i −0.0913285 0.0913285i
\(671\) −0.511443 + 1.00376i −0.0197440 + 0.0387499i
\(672\) 25.2302 18.3308i 0.973277 0.707127i
\(673\) 5.27484 2.68766i 0.203330 0.103602i −0.349361 0.936988i \(-0.613601\pi\)
0.552691 + 0.833387i \(0.313601\pi\)
\(674\) 2.73448 + 1.98671i 0.105328 + 0.0765253i
\(675\) 21.4919 + 3.40398i 0.827222 + 0.131019i
\(676\) 3.93854 + 5.42093i 0.151482 + 0.208497i
\(677\) −6.10855 8.40769i −0.234770 0.323134i 0.675335 0.737512i \(-0.263999\pi\)
−0.910105 + 0.414378i \(0.863999\pi\)
\(678\) 15.9541 + 2.52689i 0.612715 + 0.0970446i
\(679\) −12.1672 8.83999i −0.466934 0.339248i
\(680\) 13.0448 6.64665i 0.500244 0.254887i
\(681\) −7.80983 + 5.67417i −0.299273 + 0.217435i
\(682\) −6.64738 + 13.0462i −0.254541 + 0.499565i
\(683\) 25.5356 + 25.5356i 0.977093 + 0.977093i 0.999743 0.0226507i \(-0.00721056\pi\)
−0.0226507 + 0.999743i \(0.507211\pi\)
\(684\) −1.24726 + 0.197547i −0.0476902 + 0.00755338i
\(685\) −6.14721 3.13216i −0.234873 0.119674i
\(686\) −3.22387 6.32720i −0.123088 0.241574i
\(687\) −7.67650 + 23.6258i −0.292877 + 0.901382i
\(688\) 0.225225i 0.00858663i
\(689\) 31.7901 + 10.3292i 1.21110 + 0.393512i
\(690\) −0.457518 + 2.88866i −0.0174174 + 0.109969i
\(691\) 0.650080 + 4.10445i 0.0247302 + 0.156140i 0.996963 0.0778748i \(-0.0248134\pi\)
−0.972233 + 0.234015i \(0.924813\pi\)
\(692\) −6.12532 + 1.99024i −0.232850 + 0.0756575i
\(693\) −3.30943 10.1854i −0.125715 0.386910i
\(694\) 10.1442 10.1442i 0.385070 0.385070i
\(695\) 4.54307 6.25300i 0.172328 0.237190i
\(696\) 8.15735 0.309203
\(697\) −22.7043 + 20.5516i −0.859986 + 0.778447i
\(698\) 0.814099 0.0308141
\(699\) 3.56417 4.90565i 0.134809 0.185549i
\(700\) −13.1797 + 13.1797i −0.498148 + 0.498148i
\(701\) −2.84581 8.75851i −0.107485 0.330805i 0.882821 0.469710i \(-0.155642\pi\)
−0.990306 + 0.138906i \(0.955642\pi\)
\(702\) 20.5653 6.68208i 0.776189 0.252199i
\(703\) −1.66033 10.4829i −0.0626205 0.395370i
\(704\) 2.04582 12.9168i 0.0771049 0.486821i
\(705\) −14.1320 4.59177i −0.532243 0.172936i
\(706\) 3.82640i 0.144008i
\(707\) −2.25928 + 6.95335i −0.0849689 + 0.261507i
\(708\) −7.34493 14.4152i −0.276039 0.541758i
\(709\) −29.0044 14.7785i −1.08928 0.555018i −0.185342 0.982674i \(-0.559339\pi\)
−0.903941 + 0.427656i \(0.859339\pi\)
\(710\) 13.2659 2.10111i 0.497859 0.0788531i
\(711\) −2.05809 2.05809i −0.0771843 0.0771843i
\(712\) −14.3825 + 28.2273i −0.539008 + 1.05786i
\(713\) 11.7000 8.50052i 0.438167 0.318347i
\(714\) 21.0609 10.7310i 0.788183 0.401599i
\(715\) −9.39631 6.82682i −0.351402 0.255309i
\(716\) 19.9261 + 3.15598i 0.744673 + 0.117945i
\(717\) 9.09048 + 12.5120i 0.339490 + 0.467268i
\(718\) 13.5690 + 18.6762i 0.506392 + 0.696989i
\(719\) −10.0466 1.59122i −0.374675 0.0593427i −0.0337427 0.999431i \(-0.510743\pi\)
−0.340932 + 0.940088i \(0.610743\pi\)
\(720\) 0.103298 + 0.0750502i 0.00384968 + 0.00279695i
\(721\) 39.6349 20.1950i 1.47608 0.752101i
\(722\) 12.9653 9.41981i 0.482517 0.350569i
\(723\) −12.2577 + 24.0570i −0.455868 + 0.894691i
\(724\) 9.03178 + 9.03178i 0.335664 + 0.335664i
\(725\) −7.81467 + 1.23772i −0.290230 + 0.0459678i
\(726\) −5.15334 2.62576i −0.191258 0.0974509i
\(727\) 20.8419 + 40.9046i 0.772985 + 1.51707i 0.853952 + 0.520352i \(0.174199\pi\)
−0.0809673 + 0.996717i \(0.525801\pi\)
\(728\) −15.1770 + 46.7101i −0.562498 + 1.73119i
\(729\) 28.5708i 1.05818i
\(730\) −7.94144 2.58033i −0.293926 0.0955023i
\(731\) 1.50865 9.52523i 0.0557994 0.352304i
\(732\) 0.118089 + 0.745582i 0.00436468 + 0.0275575i
\(733\) −35.9271 + 11.6734i −1.32700 + 0.431167i −0.884892 0.465797i \(-0.845768\pi\)
−0.442104 + 0.896964i \(0.645768\pi\)
\(734\) 3.78264 + 11.6418i 0.139620 + 0.429706i
\(735\) 9.49913 9.49913i 0.350381 0.350381i
\(736\) −7.26636 + 10.0013i −0.267842 + 0.368652i
\(737\) 8.81535 0.324718
\(738\) −5.66154 2.15617i −0.208404 0.0793696i
\(739\) −37.9331 −1.39539 −0.697697 0.716393i \(-0.745792\pi\)
−0.697697 + 0.716393i \(0.745792\pi\)
\(740\) 8.28119 11.3981i 0.304423 0.419002i
\(741\) −4.14570 + 4.14570i −0.152296 + 0.152296i
\(742\) 8.52479 + 26.2366i 0.312955 + 0.963176i
\(743\) 18.8073 6.11086i 0.689973 0.224186i 0.0570164 0.998373i \(-0.481841\pi\)
0.632956 + 0.774188i \(0.281841\pi\)
\(744\) 4.06976 + 25.6954i 0.149204 + 0.942040i
\(745\) −0.816401 + 5.15455i −0.0299106 + 0.188848i
\(746\) −29.2733 9.51148i −1.07177 0.348240i
\(747\) 2.97834i 0.108972i
\(748\) −4.49895 + 13.8464i −0.164498 + 0.506273i
\(749\) −23.4740 46.0703i −0.857721 1.68337i
\(750\) 10.4546 + 5.32688i 0.381748 + 0.194510i
\(751\) 15.6451 2.47795i 0.570899 0.0904216i 0.135691 0.990751i \(-0.456675\pi\)
0.435209 + 0.900330i \(0.356675\pi\)
\(752\) 0.786137 + 0.786137i 0.0286675 + 0.0286675i
\(753\) 1.46977 2.88459i 0.0535615 0.105120i
\(754\) −6.36098 + 4.62152i −0.231653 + 0.168306i
\(755\) −9.10120 + 4.63729i −0.331226 + 0.168768i
\(756\) −22.1578 16.0986i −0.805871 0.585499i
\(757\) 22.6735 + 3.59113i 0.824083 + 0.130522i 0.554213 0.832375i \(-0.313019\pi\)
0.269870 + 0.962897i \(0.413019\pi\)
\(758\) −4.97232 6.84381i −0.180603 0.248578i
\(759\) −4.53289 6.23899i −0.164534 0.226461i
\(760\) −2.96012 0.468837i −0.107375 0.0170065i
\(761\) 36.5322 + 26.5422i 1.32429 + 0.962155i 0.999868 + 0.0162427i \(0.00517045\pi\)
0.324424 + 0.945912i \(0.394830\pi\)
\(762\) 10.1388 5.16596i 0.367289 0.187143i
\(763\) −21.5858 + 15.6830i −0.781458 + 0.567762i