Properties

Label 41.2.g.a.8.2
Level 41
Weight 2
Character 41.8
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 8.2
Character \(\chi\) = 41.8
Dual form 41.2.g.a.36.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.415383 + 0.571726i) q^{2} +(-0.242613 - 0.242613i) q^{3} +(0.463706 + 1.42714i) q^{4} +(2.26179 - 0.734900i) q^{5} +(0.239486 - 0.0379308i) q^{6} +(-4.85225 - 0.768522i) q^{7} +(-2.35276 - 0.764458i) q^{8} -2.88228i q^{9} +O(q^{10})\) \(q+(-0.415383 + 0.571726i) q^{2} +(-0.242613 - 0.242613i) q^{3} +(0.463706 + 1.42714i) q^{4} +(2.26179 - 0.734900i) q^{5} +(0.239486 - 0.0379308i) q^{6} +(-4.85225 - 0.768522i) q^{7} +(-2.35276 - 0.764458i) q^{8} -2.88228i q^{9} +(-0.519348 + 1.59839i) q^{10} +(1.51881 - 0.773870i) q^{11} +(0.233742 - 0.458744i) q^{12} +(0.621065 + 3.92125i) q^{13} +(2.45493 - 2.45493i) q^{14} +(-0.727035 - 0.370443i) q^{15} +(-1.01364 + 0.736453i) q^{16} +(-1.24719 - 2.44775i) q^{17} +(1.64787 + 1.19725i) q^{18} +(-0.150964 + 0.953149i) q^{19} +(2.09761 + 2.88712i) q^{20} +(0.990766 + 1.36367i) q^{21} +(-0.188445 + 1.18979i) q^{22} +(5.46604 + 3.97131i) q^{23} +(0.385342 + 0.756277i) q^{24} +(0.530527 - 0.385451i) q^{25} +(-2.49986 - 1.27374i) q^{26} +(-1.42712 + 1.42712i) q^{27} +(-1.15323 - 7.28122i) q^{28} +(0.230233 - 0.451858i) q^{29} +(0.513791 - 0.261789i) q^{30} +(0.182364 - 0.561259i) q^{31} -5.83311i q^{32} +(-0.556233 - 0.180731i) q^{33} +(1.91751 + 0.303703i) q^{34} +(-11.5396 + 1.82769i) q^{35} +(4.11342 - 1.33653i) q^{36} +(1.31461 + 4.04595i) q^{37} +(-0.482233 - 0.482233i) q^{38} +(0.800668 - 1.10202i) q^{39} -5.88325 q^{40} +(-4.01905 + 4.98470i) q^{41} -1.19120 q^{42} +(3.16632 - 4.35807i) q^{43} +(1.80870 + 1.80870i) q^{44} +(-2.11819 - 6.51911i) q^{45} +(-4.54100 + 1.47546i) q^{46} +(-4.96501 + 0.786381i) q^{47} +(0.424595 + 0.0672493i) q^{48} +(16.2964 + 5.29501i) q^{49} +0.463426i q^{50} +(-0.291271 + 0.896441i) q^{51} +(-5.30819 + 2.70466i) q^{52} +(3.46320 - 6.79691i) q^{53} +(-0.223119 - 1.40872i) q^{54} +(2.86650 - 2.86650i) q^{55} +(10.8287 + 5.51749i) q^{56} +(0.267872 - 0.194620i) q^{57} +(0.162704 + 0.319325i) q^{58} +(-6.81790 - 4.95350i) q^{59} +(0.191544 - 1.20936i) q^{60} +(0.408684 + 0.562505i) q^{61} +(0.245135 + 0.337400i) q^{62} +(-2.21509 + 13.9855i) q^{63} +(1.30766 + 0.950072i) q^{64} +(4.28645 + 8.41262i) q^{65} +(0.334379 - 0.242940i) q^{66} +(-3.63545 - 1.85235i) q^{67} +(2.91496 - 2.91496i) q^{68} +(-0.362641 - 2.28962i) q^{69} +(3.74841 - 7.35666i) q^{70} +(6.47886 - 3.30115i) q^{71} +(-2.20338 + 6.78131i) q^{72} -9.72685i q^{73} +(-2.85924 - 0.929024i) q^{74} +(-0.222228 - 0.0351975i) q^{75} +(-1.43028 + 0.226534i) q^{76} +(-7.96437 + 2.58778i) q^{77} +(0.297472 + 0.915526i) q^{78} +(6.15477 + 6.15477i) q^{79} +(-1.75142 + 2.41063i) q^{80} -7.95436 q^{81} +(-1.18044 - 4.36836i) q^{82} +4.81920 q^{83} +(-1.48673 + 2.04631i) q^{84} +(-4.61974 - 4.61974i) q^{85} +(1.17638 + 3.62054i) q^{86} +(-0.165484 + 0.0537691i) q^{87} +(-4.16498 + 0.659667i) q^{88} +(-3.63773 - 0.576160i) q^{89} +(4.60700 + 1.49691i) q^{90} -19.5042i q^{91} +(-3.13298 + 9.64234i) q^{92} +(-0.180413 + 0.0919248i) q^{93} +(1.61279 - 3.16528i) q^{94} +(0.359020 + 2.26677i) q^{95} +(-1.41519 + 1.41519i) q^{96} +(-3.63700 - 1.85314i) q^{97} +(-9.79653 + 7.11760i) q^{98} +(-2.23051 - 4.37762i) 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 \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{19}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.415383 + 0.571726i −0.293720 + 0.404272i −0.930218 0.367007i \(-0.880382\pi\)
0.636498 + 0.771279i \(0.280382\pi\)
\(3\) −0.242613 0.242613i −0.140073 0.140073i 0.633594 0.773666i \(-0.281579\pi\)
−0.773666 + 0.633594i \(0.781579\pi\)
\(4\) 0.463706 + 1.42714i 0.231853 + 0.713571i
\(5\) 2.26179 0.734900i 1.01150 0.328657i 0.244050 0.969763i \(-0.421524\pi\)
0.767453 + 0.641105i \(0.221524\pi\)
\(6\) 0.239486 0.0379308i 0.0977696 0.0154852i
\(7\) −4.85225 0.768522i −1.83398 0.290474i −0.858870 0.512194i \(-0.828833\pi\)
−0.975110 + 0.221720i \(0.928833\pi\)
\(8\) −2.35276 0.764458i −0.831826 0.270277i
\(9\) 2.88228i 0.960759i
\(10\) −0.519348 + 1.59839i −0.164232 + 0.505455i
\(11\) 1.51881 0.773870i 0.457937 0.233331i −0.209776 0.977750i \(-0.567273\pi\)
0.667713 + 0.744419i \(0.267273\pi\)
\(12\) 0.233742 0.458744i 0.0674755 0.132428i
\(13\) 0.621065 + 3.92125i 0.172253 + 1.08756i 0.910645 + 0.413189i \(0.135585\pi\)
−0.738393 + 0.674371i \(0.764415\pi\)
\(14\) 2.45493 2.45493i 0.656108 0.656108i
\(15\) −0.727035 0.370443i −0.187720 0.0956480i
\(16\) −1.01364 + 0.736453i −0.253410 + 0.184113i
\(17\) −1.24719 2.44775i −0.302488 0.593667i 0.688864 0.724890i \(-0.258110\pi\)
−0.991353 + 0.131223i \(0.958110\pi\)
\(18\) 1.64787 + 1.19725i 0.388408 + 0.282195i
\(19\) −0.150964 + 0.953149i −0.0346335 + 0.218667i −0.998935 0.0461393i \(-0.985308\pi\)
0.964301 + 0.264807i \(0.0853082\pi\)
\(20\) 2.09761 + 2.88712i 0.469040 + 0.645579i
\(21\) 0.990766 + 1.36367i 0.216203 + 0.297578i
\(22\) −0.188445 + 1.18979i −0.0401766 + 0.253665i
\(23\) 5.46604 + 3.97131i 1.13975 + 0.828075i 0.987084 0.160203i \(-0.0512148\pi\)
0.152664 + 0.988278i \(0.451215\pi\)
\(24\) 0.385342 + 0.756277i 0.0786577 + 0.154374i
\(25\) 0.530527 0.385451i 0.106105 0.0770902i
\(26\) −2.49986 1.27374i −0.490264 0.249802i
\(27\) −1.42712 + 1.42712i −0.274649 + 0.274649i
\(28\) −1.15323 7.28122i −0.217940 1.37602i
\(29\) 0.230233 0.451858i 0.0427532 0.0839080i −0.868642 0.495441i \(-0.835007\pi\)
0.911395 + 0.411533i \(0.135007\pi\)
\(30\) 0.513791 0.261789i 0.0938049 0.0477960i
\(31\) 0.182364 0.561259i 0.0327536 0.100805i −0.933343 0.358985i \(-0.883123\pi\)
0.966097 + 0.258180i \(0.0831228\pi\)
\(32\) 5.83311i 1.03116i
\(33\) −0.556233 0.180731i −0.0968277 0.0314612i
\(34\) 1.91751 + 0.303703i 0.328850 + 0.0520847i
\(35\) −11.5396 + 1.82769i −1.95054 + 0.308936i
\(36\) 4.11342 1.33653i 0.685570 0.222755i
\(37\) 1.31461 + 4.04595i 0.216120 + 0.665150i 0.999072 + 0.0430675i \(0.0137130\pi\)
−0.782952 + 0.622082i \(0.786287\pi\)
\(38\) −0.482233 0.482233i −0.0782285 0.0782285i
\(39\) 0.800668 1.10202i 0.128209 0.176465i
\(40\) −5.88325 −0.930223
\(41\) −4.01905 + 4.98470i −0.627670 + 0.778479i
\(42\) −1.19120 −0.183805
\(43\) 3.16632 4.35807i 0.482860 0.664599i −0.496192 0.868213i \(-0.665269\pi\)
0.979051 + 0.203614i \(0.0652686\pi\)
\(44\) 1.80870 + 1.80870i 0.272672 + 0.272672i
\(45\) −2.11819 6.51911i −0.315760 0.971811i
\(46\) −4.54100 + 1.47546i −0.669535 + 0.217545i
\(47\) −4.96501 + 0.786381i −0.724221 + 0.114705i −0.507652 0.861562i \(-0.669487\pi\)
−0.216569 + 0.976267i \(0.569487\pi\)
\(48\) 0.424595 + 0.0672493i 0.0612850 + 0.00970660i
\(49\) 16.2964 + 5.29501i 2.32805 + 0.756430i
\(50\) 0.463426i 0.0655384i
\(51\) −0.291271 + 0.896441i −0.0407861 + 0.125527i
\(52\) −5.30819 + 2.70466i −0.736114 + 0.375069i
\(53\) 3.46320 6.79691i 0.475707 0.933628i −0.521078 0.853509i \(-0.674470\pi\)
0.996785 0.0801188i \(-0.0255300\pi\)
\(54\) −0.223119 1.40872i −0.0303627 0.191703i
\(55\) 2.86650 2.86650i 0.386519 0.386519i
\(56\) 10.8287 + 5.51749i 1.44704 + 0.737306i
\(57\) 0.267872 0.194620i 0.0354805 0.0257781i
\(58\) 0.162704 + 0.319325i 0.0213641 + 0.0419294i
\(59\) −6.81790 4.95350i −0.887616 0.644890i 0.0476396 0.998865i \(-0.484830\pi\)
−0.935255 + 0.353974i \(0.884830\pi\)
\(60\) 0.191544 1.20936i 0.0247282 0.156128i
\(61\) 0.408684 + 0.562505i 0.0523266 + 0.0720214i 0.834378 0.551192i \(-0.185827\pi\)
−0.782052 + 0.623213i \(0.785827\pi\)
\(62\) 0.245135 + 0.337400i 0.0311322 + 0.0428499i
\(63\) −2.21509 + 13.9855i −0.279075 + 1.76201i
\(64\) 1.30766 + 0.950072i 0.163458 + 0.118759i
\(65\) 4.28645 + 8.41262i 0.531668 + 1.04346i
\(66\) 0.334379 0.242940i 0.0411592 0.0299039i
\(67\) −3.63545 1.85235i −0.444141 0.226301i 0.217594 0.976039i \(-0.430179\pi\)
−0.661734 + 0.749738i \(0.730179\pi\)
\(68\) 2.91496 2.91496i 0.353491 0.353491i
\(69\) −0.362641 2.28962i −0.0436568 0.275638i
\(70\) 3.74841 7.35666i 0.448020 0.879289i
\(71\) 6.47886 3.30115i 0.768900 0.391774i −0.0251057 0.999685i \(-0.507992\pi\)
0.794005 + 0.607911i \(0.207992\pi\)
\(72\) −2.20338 + 6.78131i −0.259671 + 0.799185i
\(73\) 9.72685i 1.13844i −0.822185 0.569221i \(-0.807245\pi\)
0.822185 0.569221i \(-0.192755\pi\)
\(74\) −2.85924 0.929024i −0.332380 0.107997i
\(75\) −0.222228 0.0351975i −0.0256607 0.00406425i
\(76\) −1.43028 + 0.226534i −0.164065 + 0.0259853i
\(77\) −7.96437 + 2.58778i −0.907624 + 0.294905i
\(78\) 0.297472 + 0.915526i 0.0336821 + 0.103663i
\(79\) 6.15477 + 6.15477i 0.692465 + 0.692465i 0.962774 0.270309i \(-0.0871257\pi\)
−0.270309 + 0.962774i \(0.587126\pi\)
\(80\) −1.75142 + 2.41063i −0.195815 + 0.269516i
\(81\) −7.95436 −0.883818
\(82\) −1.18044 4.36836i −0.130358 0.482405i
\(83\) 4.81920 0.528976 0.264488 0.964389i \(-0.414797\pi\)
0.264488 + 0.964389i \(0.414797\pi\)
\(84\) −1.48673 + 2.04631i −0.162216 + 0.223271i
\(85\) −4.61974 4.61974i −0.501081 0.501081i
\(86\) 1.17638 + 3.62054i 0.126853 + 0.390413i
\(87\) −0.165484 + 0.0537691i −0.0177418 + 0.00576465i
\(88\) −4.16498 + 0.659667i −0.443988 + 0.0703208i
\(89\) −3.63773 0.576160i −0.385598 0.0610728i −0.0393741 0.999225i \(-0.512536\pi\)
−0.346224 + 0.938152i \(0.612536\pi\)
\(90\) 4.60700 + 1.49691i 0.485621 + 0.157788i
\(91\) 19.5042i 2.04460i
\(92\) −3.13298 + 9.64234i −0.326636 + 1.00528i
\(93\) −0.180413 + 0.0919248i −0.0187079 + 0.00953216i
\(94\) 1.61279 3.16528i 0.166346 0.326473i
\(95\) 0.359020 + 2.26677i 0.0368347 + 0.232565i
\(96\) −1.41519 + 1.41519i −0.144437 + 0.144437i
\(97\) −3.63700 1.85314i −0.369281 0.188158i 0.259495 0.965744i \(-0.416444\pi\)
−0.628776 + 0.777586i \(0.716444\pi\)
\(98\) −9.79653 + 7.11760i −0.989599 + 0.718986i
\(99\) −2.23051 4.37762i −0.224175 0.439967i
\(100\) 0.796102 + 0.578402i 0.0796102 + 0.0578402i
\(101\) 1.63009 10.2920i 0.162200 1.02409i −0.763494 0.645815i \(-0.776518\pi\)
0.925693 0.378274i \(-0.123482\pi\)
\(102\) −0.391530 0.538894i −0.0387672 0.0533585i
\(103\) −0.240884 0.331548i −0.0237350 0.0326684i 0.796985 0.604000i \(-0.206427\pi\)
−0.820720 + 0.571331i \(0.806427\pi\)
\(104\) 1.53641 9.70054i 0.150658 0.951216i
\(105\) 3.24307 + 2.35623i 0.316491 + 0.229944i
\(106\) 2.44742 + 4.80333i 0.237714 + 0.466540i
\(107\) 11.3095 8.21683i 1.09333 0.794351i 0.113372 0.993553i \(-0.463835\pi\)
0.979959 + 0.199202i \(0.0638348\pi\)
\(108\) −2.69846 1.37493i −0.259660 0.132303i
\(109\) −10.8428 + 10.8428i −1.03855 + 1.03855i −0.0393244 + 0.999226i \(0.512521\pi\)
−0.999226 + 0.0393244i \(0.987479\pi\)
\(110\) 0.448157 + 2.82955i 0.0427301 + 0.269787i
\(111\) 0.662658 1.30054i 0.0628967 0.123442i
\(112\) 5.48442 2.79445i 0.518229 0.264051i
\(113\) −2.49191 + 7.66931i −0.234419 + 0.721468i 0.762779 + 0.646660i \(0.223835\pi\)
−0.997198 + 0.0748085i \(0.976165\pi\)
\(114\) 0.233992i 0.0219153i
\(115\) 15.2815 + 4.96527i 1.42501 + 0.463014i
\(116\) 0.751626 + 0.119046i 0.0697867 + 0.0110531i
\(117\) 11.3021 1.79008i 1.04488 0.165493i
\(118\) 5.66409 1.84037i 0.521422 0.169420i
\(119\) 4.17054 + 12.8356i 0.382313 + 1.17664i
\(120\) 1.42735 + 1.42735i 0.130299 + 0.130299i
\(121\) −4.75774 + 6.54847i −0.432522 + 0.595315i
\(122\) −0.491360 −0.0444856
\(123\) 2.18443 0.234279i 0.196963 0.0211243i
\(124\) 0.885560 0.0795256
\(125\) −6.07264 + 8.35827i −0.543153 + 0.747586i
\(126\) −7.07579 7.07579i −0.630362 0.630362i
\(127\) 3.32547 + 10.2347i 0.295087 + 0.908186i 0.983192 + 0.182574i \(0.0584430\pi\)
−0.688105 + 0.725612i \(0.741557\pi\)
\(128\) 10.0089 3.25208i 0.884668 0.287446i
\(129\) −1.82551 + 0.289133i −0.160728 + 0.0254568i
\(130\) −6.59024 1.04379i −0.578002 0.0915465i
\(131\) −15.4682 5.02592i −1.35146 0.439116i −0.458278 0.888809i \(-0.651534\pi\)
−0.893184 + 0.449692i \(0.851534\pi\)
\(132\) 0.877629i 0.0763878i
\(133\) 1.46503 4.50890i 0.127034 0.390972i
\(134\) 2.56914 1.30904i 0.221940 0.113084i
\(135\) −2.17905 + 4.27662i −0.187543 + 0.368073i
\(136\) 1.06314 + 6.71240i 0.0911634 + 0.575583i
\(137\) 12.5397 12.5397i 1.07134 1.07134i 0.0740834 0.997252i \(-0.476397\pi\)
0.997252 0.0740834i \(-0.0236031\pi\)
\(138\) 1.45967 + 0.743740i 0.124256 + 0.0633114i
\(139\) 1.72343 1.25214i 0.146179 0.106206i −0.512292 0.858811i \(-0.671203\pi\)
0.658471 + 0.752606i \(0.271203\pi\)
\(140\) −7.95934 15.6211i −0.672687 1.32022i
\(141\) 1.39536 + 1.01379i 0.117511 + 0.0853765i
\(142\) −0.803861 + 5.07538i −0.0674585 + 0.425916i
\(143\) 3.97782 + 5.47500i 0.332642 + 0.457842i
\(144\) 2.12266 + 2.92159i 0.176888 + 0.243466i
\(145\) 0.188669 1.19121i 0.0156681 0.0989243i
\(146\) 5.56110 + 4.04037i 0.460240 + 0.334384i
\(147\) −2.66907 5.23834i −0.220141 0.432051i
\(148\) −5.16455 + 3.75226i −0.424523 + 0.308434i
\(149\) −1.35193 0.688843i −0.110754 0.0564322i 0.397736 0.917500i \(-0.369796\pi\)
−0.508490 + 0.861068i \(0.669796\pi\)
\(150\) 0.112433 0.112433i 0.00918013 0.00918013i
\(151\) 0.327873 + 2.07011i 0.0266819 + 0.168463i 0.997431 0.0716330i \(-0.0228210\pi\)
−0.970749 + 0.240096i \(0.922821\pi\)
\(152\) 1.08382 2.12713i 0.0879098 0.172533i
\(153\) −7.05510 + 3.59475i −0.570371 + 0.290619i
\(154\) 1.82877 5.62836i 0.147366 0.453546i
\(155\) 1.40347i 0.112729i
\(156\) 1.94402 + 0.631651i 0.155646 + 0.0505725i
\(157\) −6.82911 1.08163i −0.545023 0.0863231i −0.122149 0.992512i \(-0.538979\pi\)
−0.422874 + 0.906189i \(0.638979\pi\)
\(158\) −6.07543 + 0.962253i −0.483335 + 0.0765528i
\(159\) −2.48924 + 0.808802i −0.197409 + 0.0641421i
\(160\) −4.28675 13.1933i −0.338898 1.04302i
\(161\) −23.4706 23.4706i −1.84974 1.84974i
\(162\) 3.30411 4.54772i 0.259595 0.357302i
\(163\) −7.72291 −0.604905 −0.302453 0.953164i \(-0.597805\pi\)
−0.302453 + 0.953164i \(0.597805\pi\)
\(164\) −8.97753 3.42432i −0.701028 0.267394i
\(165\) −1.39090 −0.108281
\(166\) −2.00182 + 2.75526i −0.155371 + 0.213850i
\(167\) 13.4205 + 13.4205i 1.03851 + 1.03851i 0.999228 + 0.0392793i \(0.0125062\pi\)
0.0392793 + 0.999228i \(0.487494\pi\)
\(168\) −1.28856 3.96579i −0.0994149 0.305968i
\(169\) −2.62676 + 0.853486i −0.202059 + 0.0656528i
\(170\) 4.56019 0.722263i 0.349750 0.0553950i
\(171\) 2.74724 + 0.435120i 0.210087 + 0.0332745i
\(172\) 7.68783 + 2.49793i 0.586191 + 0.190465i
\(173\) 12.9720i 0.986242i 0.869961 + 0.493121i \(0.164144\pi\)
−0.869961 + 0.493121i \(0.835856\pi\)
\(174\) 0.0379982 0.116946i 0.00288064 0.00886569i
\(175\) −2.87048 + 1.46258i −0.216988 + 0.110561i
\(176\) −0.969604 + 1.90295i −0.0730867 + 0.143441i
\(177\) 0.452329 + 2.85589i 0.0339991 + 0.214662i
\(178\) 1.84046 1.84046i 0.137948 0.137948i
\(179\) 0.493180 + 0.251288i 0.0368620 + 0.0187821i 0.472324 0.881425i \(-0.343415\pi\)
−0.435462 + 0.900207i \(0.643415\pi\)
\(180\) 8.32147 6.04590i 0.620246 0.450635i
\(181\) 10.9072 + 21.4065i 0.810723 + 1.59113i 0.806568 + 0.591141i \(0.201322\pi\)
0.00415439 + 0.999991i \(0.498678\pi\)
\(182\) 11.1511 + 8.10173i 0.826573 + 0.600540i
\(183\) 0.0373190 0.235623i 0.00275870 0.0174178i
\(184\) −9.82438 13.5221i −0.724263 0.996862i
\(185\) 5.94673 + 8.18497i 0.437212 + 0.601771i
\(186\) 0.0223846 0.141331i 0.00164132 0.0103629i
\(187\) −3.78848 2.75249i −0.277041 0.201282i
\(188\) −3.42458 6.72112i −0.249763 0.490188i
\(189\) 8.02150 5.82796i 0.583478 0.423922i
\(190\) −1.44510 0.736316i −0.104839 0.0534180i
\(191\) 8.79132 8.79132i 0.636118 0.636118i −0.313478 0.949596i \(-0.601494\pi\)
0.949596 + 0.313478i \(0.101494\pi\)
\(192\) −0.0867559 0.547755i −0.00626107 0.0395308i
\(193\) −1.47698 + 2.89873i −0.106315 + 0.208655i −0.938035 0.346540i \(-0.887357\pi\)
0.831720 + 0.555195i \(0.187357\pi\)
\(194\) 2.57024 1.30960i 0.184533 0.0940240i
\(195\) 1.00106 3.08096i 0.0716877 0.220632i
\(196\) 25.7125i 1.83661i
\(197\) −12.8789 4.18462i −0.917586 0.298142i −0.188110 0.982148i \(-0.560236\pi\)
−0.729476 + 0.684006i \(0.760236\pi\)
\(198\) 3.42932 + 0.543150i 0.243711 + 0.0386000i
\(199\) −9.16208 + 1.45113i −0.649483 + 0.102868i −0.472479 0.881342i \(-0.656641\pi\)
−0.177004 + 0.984210i \(0.556641\pi\)
\(200\) −1.54286 + 0.501307i −0.109097 + 0.0354478i
\(201\) 0.432602 + 1.33141i 0.0305134 + 0.0939105i
\(202\) 5.20708 + 5.20708i 0.366369 + 0.366369i
\(203\) −1.46441 + 2.01559i −0.102782 + 0.141467i
\(204\) −1.41441 −0.0990287
\(205\) −5.42699 + 14.2279i −0.379037 + 0.993722i
\(206\) 0.289614 0.0201784
\(207\) 11.4464 15.7546i 0.795581 1.09502i
\(208\) −3.51735 3.51735i −0.243885 0.243885i
\(209\) 0.508329 + 1.56448i 0.0351618 + 0.108217i
\(210\) −2.69423 + 0.875409i −0.185920 + 0.0604090i
\(211\) 26.8855 4.25824i 1.85087 0.293149i 0.870777 0.491678i \(-0.163616\pi\)
0.980095 + 0.198529i \(0.0636163\pi\)
\(212\) 11.3061 + 1.79070i 0.776504 + 0.122986i
\(213\) −2.37276 0.770955i −0.162579 0.0528250i
\(214\) 9.87907i 0.675320i
\(215\) 3.95881 12.1840i 0.269989 0.830940i
\(216\) 4.44863 2.26669i 0.302691 0.154229i
\(217\) −1.31622 + 2.58322i −0.0893506 + 0.175360i
\(218\) −1.69519 10.7030i −0.114813 0.724900i
\(219\) −2.35986 + 2.35986i −0.159465 + 0.159465i
\(220\) 5.42012 + 2.76169i 0.365424 + 0.186193i
\(221\) 8.82366 6.41077i 0.593544 0.431235i
\(222\) 0.468296 + 0.919082i 0.0314299 + 0.0616847i
\(223\) −7.71095 5.60233i −0.516363 0.375160i 0.298869 0.954294i \(-0.403391\pi\)
−0.815232 + 0.579134i \(0.803391\pi\)
\(224\) −4.48287 + 28.3037i −0.299524 + 1.89112i
\(225\) −1.11098 1.52913i −0.0740651 0.101942i
\(226\) −3.34965 4.61040i −0.222815 0.306679i
\(227\) −0.238184 + 1.50383i −0.0158088 + 0.0998130i −0.994331 0.106328i \(-0.966091\pi\)
0.978522 + 0.206141i \(0.0660906\pi\)
\(228\) 0.401965 + 0.292045i 0.0266208 + 0.0193411i
\(229\) −6.69218 13.1341i −0.442232 0.867929i −0.999298 0.0374606i \(-0.988073\pi\)
0.557066 0.830468i \(-0.311927\pi\)
\(230\) −9.18648 + 6.67437i −0.605738 + 0.440095i
\(231\) 2.56009 + 1.30443i 0.168441 + 0.0858252i
\(232\) −0.887110 + 0.887110i −0.0582416 + 0.0582416i
\(233\) −2.32886 14.7039i −0.152569 0.963282i −0.938578 0.345067i \(-0.887856\pi\)
0.786009 0.618215i \(-0.212144\pi\)
\(234\) −3.67128 + 7.20530i −0.239999 + 0.471025i
\(235\) −10.6519 + 5.42741i −0.694853 + 0.354045i
\(236\) 3.90784 12.0271i 0.254379 0.782897i
\(237\) 2.98645i 0.193991i
\(238\) −9.07083 2.94729i −0.587974 0.191044i
\(239\) −13.2085 2.09203i −0.854390 0.135322i −0.286150 0.958185i \(-0.592375\pi\)
−0.568240 + 0.822863i \(0.692375\pi\)
\(240\) 1.00977 0.159931i 0.0651801 0.0103235i
\(241\) −3.79971 + 1.23460i −0.244761 + 0.0795276i −0.428828 0.903386i \(-0.641073\pi\)
0.184068 + 0.982914i \(0.441073\pi\)
\(242\) −1.76765 5.44025i −0.113629 0.349713i
\(243\) 6.21118 + 6.21118i 0.398447 + 0.398447i
\(244\) −0.613265 + 0.844087i −0.0392603 + 0.0540372i
\(245\) 40.7502 2.60344
\(246\) −0.773431 + 1.34621i −0.0493121 + 0.0858312i
\(247\) −3.83130 −0.243780
\(248\) −0.858118 + 1.18110i −0.0544905 + 0.0749998i
\(249\) −1.16920 1.16920i −0.0740951 0.0740951i
\(250\) −2.25617 6.94378i −0.142693 0.439163i
\(251\) −25.9816 + 8.44194i −1.63995 + 0.532851i −0.976527 0.215397i \(-0.930896\pi\)
−0.663420 + 0.748248i \(0.730896\pi\)
\(252\) −20.9865 + 3.32394i −1.32203 + 0.209388i
\(253\) 11.3751 + 1.80164i 0.715148 + 0.113268i
\(254\) −7.23281 2.35008i −0.453827 0.147457i
\(255\) 2.24162i 0.140375i
\(256\) −3.29719 + 10.1477i −0.206074 + 0.634231i
\(257\) −6.68063 + 3.40395i −0.416726 + 0.212333i −0.649766 0.760135i \(-0.725133\pi\)
0.233039 + 0.972467i \(0.425133\pi\)
\(258\) 0.592984 1.16380i 0.0369176 0.0724548i
\(259\) −3.26941 20.6423i −0.203152 1.28265i
\(260\) −10.0184 + 10.0184i −0.621312 + 0.621312i
\(261\) −1.30238 0.663596i −0.0806153 0.0410756i
\(262\) 9.29868 6.75588i 0.574474 0.417380i
\(263\) 5.41178 + 10.6212i 0.333705 + 0.654933i 0.995501 0.0947511i \(-0.0302055\pi\)
−0.661796 + 0.749684i \(0.730206\pi\)
\(264\) 1.17052 + 0.850433i 0.0720406 + 0.0523405i
\(265\) 2.83798 17.9183i 0.174336 1.10071i
\(266\) 1.96931 + 2.71052i 0.120746 + 0.166193i
\(267\) 0.742776 + 1.02234i 0.0454572 + 0.0625664i
\(268\) 0.957790 6.04725i 0.0585063 0.369394i
\(269\) −17.1372 12.4509i −1.04488 0.759147i −0.0736443 0.997285i \(-0.523463\pi\)
−0.971231 + 0.238138i \(0.923463\pi\)
\(270\) −1.53992 3.02226i −0.0937164 0.183929i
\(271\) −3.10054 + 2.25267i −0.188344 + 0.136840i −0.677962 0.735097i \(-0.737136\pi\)
0.489617 + 0.871937i \(0.337136\pi\)
\(272\) 3.06686 + 1.56264i 0.185956 + 0.0947491i
\(273\) −4.73197 + 4.73197i −0.286392 + 0.286392i
\(274\) 1.96049 + 12.3780i 0.118437 + 0.747784i
\(275\) 0.507479 0.995984i 0.0306022 0.0600601i
\(276\) 3.09946 1.57925i 0.186565 0.0950598i
\(277\) 0.360907 1.11076i 0.0216848 0.0667389i −0.939629 0.342196i \(-0.888829\pi\)
0.961313 + 0.275457i \(0.0888293\pi\)
\(278\) 1.50545i 0.0902909i
\(279\) −1.61770 0.525624i −0.0968494 0.0314683i
\(280\) 28.5470 + 4.52140i 1.70601 + 0.270205i
\(281\) 17.4781 2.76826i 1.04266 0.165140i 0.388460 0.921466i \(-0.373007\pi\)
0.654196 + 0.756325i \(0.273007\pi\)
\(282\) −1.15922 + 0.376654i −0.0690306 + 0.0224294i
\(283\) 2.28989 + 7.04757i 0.136120 + 0.418934i 0.995763 0.0919616i \(-0.0293137\pi\)
−0.859643 + 0.510896i \(0.829314\pi\)
\(284\) 7.71549 + 7.71549i 0.457830 + 0.457830i
\(285\) 0.462844 0.637050i 0.0274165 0.0377356i
\(286\) −4.78252 −0.282796
\(287\) 23.3323 21.0983i 1.37726 1.24539i
\(288\) −16.8126 −0.990695
\(289\) 5.55635 7.64766i 0.326844 0.449862i
\(290\) 0.602674 + 0.602674i 0.0353902 + 0.0353902i
\(291\) 0.432787 + 1.33198i 0.0253704 + 0.0780821i
\(292\) 13.8816 4.51040i 0.812359 0.263951i
\(293\) 10.2251 1.61950i 0.597357 0.0946120i 0.149568 0.988751i \(-0.452212\pi\)
0.447789 + 0.894139i \(0.352212\pi\)
\(294\) 4.10359 + 0.649944i 0.239326 + 0.0379055i
\(295\) −19.0610 6.19329i −1.10977 0.360587i
\(296\) 10.5241i 0.611701i
\(297\) −1.06311 + 3.27192i −0.0616879 + 0.189856i
\(298\) 0.955399 0.486800i 0.0553448 0.0281996i
\(299\) −12.1777 + 23.9002i −0.704257 + 1.38218i
\(300\) −0.0528168 0.333472i −0.00304938 0.0192530i
\(301\) −18.7131 + 18.7131i −1.07860 + 1.07860i
\(302\) −1.31973 0.672435i −0.0759418 0.0386943i
\(303\) −2.89245 + 2.10149i −0.166167 + 0.120727i
\(304\) −0.548926 1.07733i −0.0314831 0.0617890i
\(305\) 1.33774 + 0.971927i 0.0765989 + 0.0556524i
\(306\) 0.875357 5.52679i 0.0500408 0.315945i
\(307\) −0.807435 1.11134i −0.0460827 0.0634274i 0.785354 0.619047i \(-0.212481\pi\)
−0.831437 + 0.555620i \(0.812481\pi\)
\(308\) −7.38626 10.1663i −0.420871 0.579279i
\(309\) −0.0219964 + 0.138879i −0.00125133 + 0.00790058i
\(310\) 0.802400 + 0.582978i 0.0455733 + 0.0331109i
\(311\) 5.51590 + 10.8256i 0.312778 + 0.613862i 0.992861 0.119273i \(-0.0380564\pi\)
−0.680083 + 0.733135i \(0.738056\pi\)
\(312\) −2.72623 + 1.98072i −0.154342 + 0.112136i
\(313\) 26.8319 + 13.6715i 1.51663 + 0.772761i 0.996679 0.0814357i \(-0.0259505\pi\)
0.519950 + 0.854197i \(0.325951\pi\)
\(314\) 3.45509 3.45509i 0.194982 0.194982i
\(315\) 5.26790 + 33.2602i 0.296813 + 1.87400i
\(316\) −5.92972 + 11.6377i −0.333573 + 0.654673i
\(317\) −7.54815 + 3.84597i −0.423946 + 0.216011i −0.652929 0.757419i \(-0.726460\pi\)
0.228983 + 0.973430i \(0.426460\pi\)
\(318\) 0.571574 1.75912i 0.0320523 0.0986468i
\(319\) 0.864455i 0.0484002i
\(320\) 3.65586 + 1.18786i 0.204369 + 0.0664035i
\(321\) −4.73734 0.750321i −0.264413 0.0418788i
\(322\) 23.1680 3.66946i 1.29110 0.204491i
\(323\) 2.52135 0.819237i 0.140292 0.0455836i
\(324\) −3.68849 11.3520i −0.204916 0.630667i
\(325\) 1.84094 + 1.84094i 0.102117 + 0.102117i
\(326\) 3.20797 4.41539i 0.177673 0.244546i
\(327\) 5.26120 0.290945
\(328\) 13.2665 8.65541i 0.732517 0.477915i
\(329\) 24.6959 1.36153
\(330\) 0.577757 0.795214i 0.0318045 0.0437751i
\(331\) −7.38632 7.38632i −0.405989 0.405989i 0.474348 0.880337i \(-0.342684\pi\)
−0.880337 + 0.474348i \(0.842684\pi\)
\(332\) 2.23469 + 6.87768i 0.122645 + 0.377462i
\(333\) 11.6615 3.78907i 0.639049 0.207640i
\(334\) −13.2475 + 2.09820i −0.724870 + 0.114808i
\(335\) −9.58391 1.51794i −0.523625 0.0829341i
\(336\) −2.00856 0.652621i −0.109576 0.0356034i
\(337\) 22.8689i 1.24575i 0.782321 + 0.622875i \(0.214036\pi\)
−0.782321 + 0.622875i \(0.785964\pi\)
\(338\) 0.603152 1.85631i 0.0328072 0.100970i
\(339\) 2.46524 1.25610i 0.133894 0.0682222i
\(340\) 4.45082 8.73522i 0.241379 0.473734i
\(341\) −0.157366 0.993570i −0.00852184 0.0538048i
\(342\) −1.38993 + 1.38993i −0.0751587 + 0.0751587i
\(343\) −44.3638 22.6045i −2.39542 1.22053i
\(344\) −10.7812 + 7.83297i −0.581281 + 0.422325i
\(345\) −2.50286 4.91214i −0.134749 0.264461i
\(346\) −7.41643 5.38835i −0.398710 0.289680i
\(347\) 0.261536 1.65127i 0.0140400 0.0886450i −0.979673 0.200599i \(-0.935711\pi\)
0.993713 + 0.111954i \(0.0357110\pi\)
\(348\) −0.153472 0.211236i −0.00822697 0.0113235i
\(349\) −20.3042 27.9463i −1.08686 1.49593i −0.851741 0.523963i \(-0.824453\pi\)
−0.235116 0.971967i \(-0.575547\pi\)
\(350\) 0.356153 2.24866i 0.0190372 0.120196i
\(351\) −6.48242 4.70975i −0.346006 0.251388i
\(352\) −4.51407 8.85936i −0.240601 0.472206i
\(353\) −20.7152 + 15.0505i −1.10256 + 0.801055i −0.981476 0.191587i \(-0.938636\pi\)
−0.121082 + 0.992642i \(0.538636\pi\)
\(354\) −1.82068 0.927683i −0.0967680 0.0493058i
\(355\) 12.2278 12.2278i 0.648985 0.648985i
\(356\) −0.864577 5.45872i −0.0458225 0.289312i
\(357\) 2.10226 4.12591i 0.111263 0.218366i
\(358\) −0.348527 + 0.177583i −0.0184202 + 0.00938556i
\(359\) −8.16247 + 25.1215i −0.430799 + 1.32586i 0.466532 + 0.884504i \(0.345503\pi\)
−0.897331 + 0.441358i \(0.854497\pi\)
\(360\) 16.9572i 0.893720i
\(361\) 17.1844 + 5.58354i 0.904441 + 0.293871i
\(362\) −16.7693 2.65600i −0.881375 0.139596i
\(363\) 2.74303 0.434454i 0.143972 0.0228029i
\(364\) 27.8353 9.04423i 1.45897 0.474047i
\(365\) −7.14826 22.0001i −0.374157 1.15154i
\(366\) 0.119210 + 0.119210i 0.00623122 + 0.00623122i
\(367\) 11.8091 16.2538i 0.616429 0.848442i −0.380658 0.924716i \(-0.624302\pi\)
0.997087 + 0.0762741i \(0.0243024\pi\)
\(368\) −8.46528 −0.441283
\(369\) 14.3673 + 11.5840i 0.747931 + 0.603040i
\(370\) −7.14974 −0.371697
\(371\) −22.0279 + 30.3188i −1.14363 + 1.57407i
\(372\) −0.214848 0.214848i −0.0111394 0.0111394i
\(373\) −2.37421 7.30705i −0.122932 0.378345i 0.870587 0.492015i \(-0.163739\pi\)
−0.993519 + 0.113670i \(0.963739\pi\)
\(374\) 3.14735 1.02264i 0.162745 0.0528792i
\(375\) 3.50113 0.554524i 0.180797 0.0286355i
\(376\) 12.2826 + 1.94538i 0.633428 + 0.100325i
\(377\) 1.91484 + 0.622169i 0.0986193 + 0.0320433i
\(378\) 7.00694i 0.360398i
\(379\) 7.20512 22.1751i 0.370102 1.13906i −0.576622 0.817011i \(-0.695629\pi\)
0.946724 0.322046i \(-0.104371\pi\)
\(380\) −3.06852 + 1.56349i −0.157412 + 0.0802052i
\(381\) 1.67628 3.28988i 0.0858783 0.168546i
\(382\) 1.37446 + 8.67800i 0.0703235 + 0.444005i
\(383\) −11.5251 + 11.5251i −0.588904 + 0.588904i −0.937335 0.348430i \(-0.886715\pi\)
0.348430 + 0.937335i \(0.386715\pi\)
\(384\) −3.21728 1.63929i −0.164181 0.0836544i
\(385\) −16.1120 + 11.7060i −0.821142 + 0.596594i
\(386\) −1.04377 2.04851i −0.0531265 0.104267i
\(387\) −12.5612 9.12622i −0.638520 0.463912i
\(388\) 0.958199 6.04983i 0.0486452 0.307134i
\(389\) −0.170988 0.235345i −0.00866943 0.0119325i 0.804660 0.593735i \(-0.202347\pi\)
−0.813330 + 0.581803i \(0.802347\pi\)
\(390\) 1.34564 + 1.85211i 0.0681391 + 0.0937854i
\(391\) 2.90358 18.3325i 0.146840 0.927114i
\(392\) −34.2936 24.9158i −1.73209 1.25844i
\(393\) 2.53343 + 4.97213i 0.127795 + 0.250811i
\(394\) 7.74216 5.62500i 0.390044 0.283384i
\(395\) 18.4439 + 9.39765i 0.928014 + 0.472847i
\(396\) 5.21318 5.21318i 0.261972 0.261972i
\(397\) 4.42708 + 27.9515i 0.222189 + 1.40284i 0.806461 + 0.591287i \(0.201380\pi\)
−0.584272 + 0.811558i \(0.698620\pi\)
\(398\) 2.97613 5.84098i 0.149180 0.292782i
\(399\) −1.44935 + 0.738483i −0.0725585 + 0.0369704i
\(400\) −0.253898 + 0.781417i −0.0126949 + 0.0390708i
\(401\) 6.77610i 0.338382i −0.985583 0.169191i \(-0.945885\pi\)
0.985583 0.169191i \(-0.0541155\pi\)
\(402\) −0.940899 0.305716i −0.0469278 0.0152478i
\(403\) 2.31410 + 0.366517i 0.115273 + 0.0182575i
\(404\) 15.4440 2.44609i 0.768367 0.121697i
\(405\) −17.9911 + 5.84566i −0.893984 + 0.290473i
\(406\) −0.544074 1.67449i −0.0270019 0.0831034i
\(407\) 5.12767 + 5.12767i 0.254169 + 0.254169i
\(408\) 1.37058 1.88645i 0.0678540 0.0933930i
\(409\) 16.9059 0.835945 0.417972 0.908460i \(-0.362741\pi\)
0.417972 + 0.908460i \(0.362741\pi\)
\(410\) −5.88021 9.01280i −0.290403 0.445111i
\(411\) −6.08457 −0.300130
\(412\) 0.361467 0.497517i 0.0178082 0.0245109i
\(413\) 29.2753 + 29.2753i 1.44055 + 1.44055i
\(414\) 4.25269 + 13.0884i 0.209008 + 0.643262i
\(415\) 10.9000 3.54163i 0.535061 0.173852i
\(416\) 22.8731 3.62274i 1.12145 0.177620i
\(417\) −0.721913 0.114340i −0.0353522 0.00559924i
\(418\) −1.10560 0.359232i −0.0540768 0.0175706i
\(419\) 12.2920i 0.600504i 0.953860 + 0.300252i \(0.0970708\pi\)
−0.953860 + 0.300252i \(0.902929\pi\)
\(420\) −1.85884 + 5.72091i −0.0907020 + 0.279152i
\(421\) 25.9576 13.2260i 1.26509 0.644597i 0.312811 0.949815i \(-0.398729\pi\)
0.952283 + 0.305218i \(0.0987293\pi\)
\(422\) −8.73323 + 17.1399i −0.425127 + 0.834359i
\(423\) 2.26657 + 14.3105i 0.110204 + 0.695802i
\(424\) −13.3440 + 13.3440i −0.648043 + 0.648043i
\(425\) −1.60516 0.817868i −0.0778616 0.0396724i
\(426\) 1.42638 1.03633i 0.0691083 0.0502101i
\(427\) −1.55074 3.04350i −0.0750456 0.147285i
\(428\) 16.9709 + 12.3301i 0.820318 + 0.595996i
\(429\) 0.363235 2.29337i 0.0175371 0.110725i
\(430\) 5.32147 + 7.32437i 0.256624 + 0.353213i
\(431\) 5.05984 + 6.96427i 0.243724 + 0.335457i 0.913301 0.407285i \(-0.133525\pi\)
−0.669577 + 0.742743i \(0.733525\pi\)
\(432\) 0.395579 2.49759i 0.0190323 0.120165i
\(433\) 9.57821 + 6.95897i 0.460299 + 0.334427i 0.793649 0.608376i \(-0.208179\pi\)
−0.333349 + 0.942803i \(0.608179\pi\)
\(434\) −0.930161 1.82554i −0.0446491 0.0876289i
\(435\) −0.334775 + 0.243229i −0.0160513 + 0.0116619i
\(436\) −20.5021 10.4463i −0.981871 0.500288i
\(437\) −4.61043 + 4.61043i −0.220547 + 0.220547i
\(438\) −0.368947 2.32944i −0.0176290 0.111305i
\(439\) −13.8074 + 27.0986i −0.658993 + 1.29335i 0.283453 + 0.958986i \(0.408520\pi\)
−0.942445 + 0.334360i \(0.891480\pi\)
\(440\) −8.93551 + 4.55287i −0.425984 + 0.217050i
\(441\) 15.2617 46.9706i 0.726747 2.23670i
\(442\) 7.70765i 0.366615i
\(443\) −12.6998 4.12642i −0.603387 0.196052i −0.00863630 0.999963i \(-0.502749\pi\)
−0.594750 + 0.803911i \(0.702749\pi\)
\(444\) 2.16333 + 0.342638i 0.102667 + 0.0162609i
\(445\) −8.65119 + 1.37021i −0.410106 + 0.0649544i
\(446\) 6.40600 2.08144i 0.303333 0.0985588i
\(447\) 0.160874 + 0.495118i 0.00760906 + 0.0234183i
\(448\) −5.61496 5.61496i −0.265282 0.265282i
\(449\) 14.7829 20.3470i 0.697649 0.960232i −0.302326 0.953205i \(-0.597763\pi\)
0.999975 0.00702734i \(-0.00223689\pi\)
\(450\) 1.33572 0.0629666
\(451\) −2.24664 + 10.6810i −0.105790 + 0.502949i
\(452\) −12.1007 −0.569169
\(453\) 0.422689 0.581781i 0.0198597 0.0273345i
\(454\) −0.760844 0.760844i −0.0357082 0.0357082i
\(455\) −14.3336 44.1144i −0.671972 2.06812i
\(456\) −0.779018 + 0.253118i −0.0364809 + 0.0118533i
\(457\) −31.7784 + 5.03321i −1.48653 + 0.235444i −0.846287 0.532727i \(-0.821167\pi\)
−0.640245 + 0.768170i \(0.721167\pi\)
\(458\) 10.2890 + 1.62961i 0.480771 + 0.0761467i
\(459\) 5.27311 + 1.71334i 0.246128 + 0.0799718i
\(460\) 24.1114i 1.12420i
\(461\) 9.09817 28.0013i 0.423744 1.30415i −0.480448 0.877023i \(-0.659526\pi\)
0.904192 0.427126i \(-0.140474\pi\)
\(462\) −1.80919 + 0.921831i −0.0841714 + 0.0428874i
\(463\) 9.31629 18.2842i 0.432965 0.849741i −0.566702 0.823923i \(-0.691781\pi\)
0.999667 0.0258181i \(-0.00821907\pi\)
\(464\) 0.0993985 + 0.627578i 0.00461446 + 0.0291346i
\(465\) −0.340500 + 0.340500i −0.0157903 + 0.0157903i
\(466\) 9.37396 + 4.77627i 0.434240 + 0.221256i
\(467\) 19.9773 14.5143i 0.924437 0.671643i −0.0201872 0.999796i \(-0.506426\pi\)
0.944625 + 0.328153i \(0.106426\pi\)
\(468\) 7.79558 + 15.2997i 0.360351 + 0.707228i
\(469\) 16.2165 + 11.7820i 0.748811 + 0.544043i
\(470\) 1.32163 8.34443i 0.0609621 0.384900i
\(471\) 1.39441 + 1.91925i 0.0642512 + 0.0884342i
\(472\) 12.2541 + 16.8664i 0.564043 + 0.776339i
\(473\) 1.43645 9.06939i 0.0660480 0.417011i
\(474\) 1.70743 + 1.24052i 0.0784250 + 0.0569791i
\(475\) 0.287302 + 0.563861i 0.0131823 + 0.0258717i
\(476\) −16.3843 + 11.9039i −0.750974 + 0.545615i
\(477\) −19.5906 9.98191i −0.896992 0.457040i
\(478\) 6.68268 6.68268i 0.305659 0.305659i
\(479\) −4.53834 28.6540i −0.207362 1.30923i −0.843279 0.537476i \(-0.819378\pi\)
0.635917 0.771757i \(-0.280622\pi\)
\(480\) −2.16084 + 4.24088i −0.0986282 + 0.193569i
\(481\) −15.0487 + 7.66771i −0.686163 + 0.349617i
\(482\) 0.872483 2.68523i 0.0397405 0.122309i
\(483\) 11.3885i 0.518196i
\(484\) −11.5518 3.75340i −0.525081 0.170609i
\(485\) −9.58800 1.51859i −0.435369 0.0689557i
\(486\) −6.13112 + 0.971073i −0.278113 + 0.0440488i
\(487\) −25.0893 + 8.15201i −1.13691 + 0.369403i −0.816196 0.577775i \(-0.803921\pi\)
−0.320709 + 0.947178i \(0.603921\pi\)
\(488\) −0.531524 1.63586i −0.0240609 0.0740520i
\(489\) 1.87368 + 1.87368i 0.0847307 + 0.0847307i
\(490\) −16.9270 + 23.2980i −0.764682 + 1.05250i
\(491\) 17.4748 0.788628 0.394314 0.918976i \(-0.370982\pi\)
0.394314 + 0.918976i \(0.370982\pi\)
\(492\) 1.34728 + 3.00885i 0.0607402 + 0.135649i
\(493\) −1.39318 −0.0627457
\(494\) 1.59146 2.19045i 0.0716031 0.0985532i
\(495\) −8.26205 8.26205i −0.371352 0.371352i
\(496\) 0.228489 + 0.703217i 0.0102595 + 0.0315754i
\(497\) −33.9741 + 11.0389i −1.52395 + 0.495160i
\(498\) 1.15413 0.182796i 0.0517178 0.00819129i
\(499\) 6.24219 + 0.988666i 0.279439 + 0.0442588i 0.294581 0.955627i \(-0.404820\pi\)
−0.0151419 + 0.999885i \(0.504820\pi\)
\(500\) −14.7444 4.79073i −0.659388 0.214248i
\(501\) 6.51196i 0.290933i
\(502\) 5.96586 18.3610i 0.266269 0.819493i
\(503\) 9.88764 5.03800i 0.440868 0.224634i −0.219444 0.975625i \(-0.570424\pi\)
0.660312 + 0.750992i \(0.270424\pi\)
\(504\) 15.9029 31.2113i 0.708373 1.39026i
\(505\) −3.87665 24.4762i −0.172509 1.08918i
\(506\) −5.75509 + 5.75509i −0.255845 + 0.255845i
\(507\) 0.844353 + 0.430219i 0.0374990 + 0.0191067i
\(508\) −13.0644 + 9.49183i −0.579638 + 0.421132i
\(509\) 9.54403 + 18.7312i 0.423032 + 0.830247i 0.999910 + 0.0134165i \(0.00427073\pi\)
−0.576878 + 0.816830i \(0.695729\pi\)
\(510\) −1.28159 0.931130i −0.0567498 0.0412311i
\(511\) −7.47530 + 47.1972i −0.330688 + 2.08788i
\(512\) 7.93954 + 10.9278i 0.350881 + 0.482947i
\(513\) −1.14481 1.57570i −0.0505447 0.0695688i
\(514\) 0.828895 5.23344i 0.0365610 0.230837i
\(515\) −0.788484 0.572867i −0.0347447 0.0252435i
\(516\) −1.25914 2.47120i −0.0554304 0.108788i
\(517\) −6.93233 + 5.03663i −0.304884 + 0.221511i
\(518\) 13.1598 + 6.70525i 0.578208 + 0.294612i
\(519\) 3.14717 3.14717i 0.138146 0.138146i
\(520\) −3.65388 23.0697i −0.160233 1.01167i
\(521\) −4.33618 + 8.51023i −0.189971 + 0.372840i −0.966272 0.257523i \(-0.917094\pi\)
0.776301 + 0.630363i \(0.217094\pi\)
\(522\) 0.920383 0.468958i 0.0402841 0.0205258i
\(523\) 3.08324 9.48924i 0.134821 0.414936i −0.860741 0.509043i \(-0.830000\pi\)
0.995562 + 0.0941069i \(0.0299996\pi\)
\(524\) 24.4058i 1.06617i
\(525\) 1.05126 + 0.341574i 0.0458806 + 0.0149075i
\(526\) −8.32040 1.31782i −0.362787 0.0574598i
\(527\) −1.60127 + 0.253616i −0.0697522 + 0.0110477i
\(528\) 0.696920 0.226443i 0.0303295 0.00985467i
\(529\) 6.99889 + 21.5404i 0.304300 + 0.936538i
\(530\) 9.06551 + 9.06551i 0.393780 + 0.393780i
\(531\) −14.2774 + 19.6511i −0.619585 + 0.852785i
\(532\) 7.11419 0.308439
\(533\) −22.0424 12.6639i −0.954761 0.548534i
\(534\) −0.893038 −0.0386455
\(535\) 19.5412 26.8961i 0.844838 1.16282i
\(536\) 7.13729 + 7.13729i 0.308284 + 0.308284i
\(537\) −0.0586862 0.180617i −0.00253249 0.00779422i
\(538\) 14.2370 4.62590i 0.613803 0.199437i
\(539\) 28.8486 4.56918i 1.24260 0.196808i
\(540\) −7.11379 1.12671i −0.306129 0.0484860i
\(541\) −4.63179 1.50496i −0.199136 0.0647032i 0.207751 0.978182i \(-0.433386\pi\)
−0.406887 + 0.913479i \(0.633386\pi\)
\(542\) 2.70838i 0.116335i
\(543\) 2.54728 7.83971i 0.109314 0.336434i
\(544\) −14.2780 + 7.27501i −0.612164 + 0.311913i
\(545\) −16.5557 + 32.4925i −0.709170 + 1.39182i
\(546\) −0.739810 4.67098i −0.0316610 0.199899i
\(547\) 14.2161 14.2161i 0.607837 0.607837i −0.334543 0.942380i \(-0.608582\pi\)
0.942380 + 0.334543i \(0.108582\pi\)
\(548\) 23.7106 + 12.0812i 1.01287 + 0.516081i
\(549\) 1.62130 1.17794i 0.0691953 0.0502733i
\(550\) 0.358632 + 0.703855i 0.0152921 + 0.0300125i
\(551\) 0.395931 + 0.287661i 0.0168672 + 0.0122548i
\(552\) −0.897114 + 5.66416i −0.0381837 + 0.241082i
\(553\) −25.1344 34.5946i −1.06882 1.47111i
\(554\) 0.485134 + 0.667730i 0.0206114 + 0.0283691i
\(555\) 0.543026 3.42853i 0.0230502 0.145533i
\(556\) 2.58615 + 1.87895i 0.109677 + 0.0796852i
\(557\) 9.22663 + 18.1083i 0.390945 + 0.767273i 0.999659 0.0261171i \(-0.00831428\pi\)
−0.608714 + 0.793390i \(0.708314\pi\)
\(558\) 0.972481 0.706549i 0.0411684 0.0299106i
\(559\) 19.0556 + 9.70931i 0.805965 + 0.410660i
\(560\) 10.3510 10.3510i 0.437408 0.437408i
\(561\) 0.251344 + 1.58693i 0.0106118 + 0.0670001i
\(562\) −5.67742 + 11.1426i −0.239488 + 0.470021i
\(563\) 14.3215 7.29719i 0.603581 0.307540i −0.125366 0.992111i \(-0.540010\pi\)
0.728946 + 0.684571i \(0.240010\pi\)
\(564\) −0.799783 + 2.46148i −0.0336770 + 0.103647i
\(565\) 19.1777i 0.806811i
\(566\) −4.98046 1.61825i −0.209345 0.0680202i
\(567\) 38.5966 + 6.11310i 1.62090 + 0.256726i
\(568\) −17.7668 + 2.81398i −0.745478 + 0.118072i
\(569\) 13.6249 4.42700i 0.571186 0.185590i −0.00916232 0.999958i \(-0.502916\pi\)
0.580348 + 0.814369i \(0.302916\pi\)
\(570\) 0.171960 + 0.529240i 0.00720263 + 0.0221674i
\(571\) −5.79685 5.79685i −0.242591 0.242591i 0.575330 0.817921i \(-0.304873\pi\)
−0.817921 + 0.575330i \(0.804873\pi\)
\(572\) −5.96906 + 8.21570i −0.249579 + 0.343516i
\(573\) −4.26578 −0.178205
\(574\) 2.37061 + 22.1036i 0.0989472 + 0.922586i
\(575\) 4.43063 0.184770
\(576\) 2.73837 3.76905i 0.114099 0.157044i
\(577\) −3.49886 3.49886i −0.145660 0.145660i 0.630516 0.776176i \(-0.282843\pi\)
−0.776176 + 0.630516i \(0.782843\pi\)
\(578\) 2.06435 + 6.35342i 0.0858657 + 0.264268i
\(579\) 1.06160 0.344936i 0.0441188 0.0143351i
\(580\) 1.78751 0.283113i 0.0742222 0.0117556i
\(581\) −23.3840 3.70366i −0.970132 0.153654i
\(582\) −0.941300 0.305847i −0.0390182 0.0126778i
\(583\) 13.0033i 0.538540i
\(584\) −7.43577 + 22.8849i −0.307694 + 0.946986i
\(585\) 24.2475 12.3547i 1.00251 0.510805i
\(586\) −3.32143 + 6.51867i −0.137207 + 0.269284i
\(587\) 1.58441 + 10.0036i 0.0653955 + 0.412891i 0.998570 + 0.0534665i \(0.0170270\pi\)
−0.933174 + 0.359425i \(0.882973\pi\)
\(588\) 6.23819 6.23819i 0.257259 0.257259i
\(589\) 0.507433 + 0.258550i 0.0209084 + 0.0106534i
\(590\) 11.4585 8.32508i 0.471738 0.342738i
\(591\) 2.10935 + 4.13984i 0.0867672 + 0.170290i
\(592\) −4.31219 3.13299i −0.177230 0.128765i
\(593\) 2.36683 14.9436i 0.0971942 0.613660i −0.890223 0.455525i \(-0.849452\pi\)
0.987417 0.158136i \(-0.0505483\pi\)
\(594\) −1.42904 1.96691i −0.0586343 0.0807032i
\(595\) 18.8658 + 25.9665i 0.773421 + 1.06452i
\(596\) 0.356178 2.24882i 0.0145896 0.0921151i
\(597\) 2.57490 + 1.87078i 0.105384 + 0.0765658i
\(598\) −8.60592 16.8901i −0.351922 0.690686i
\(599\) 2.65199 1.92679i 0.108358 0.0787264i −0.532287 0.846564i \(-0.678667\pi\)
0.640644 + 0.767838i \(0.278667\pi\)
\(600\) 0.495942 + 0.252695i 0.0202468 + 0.0103162i
\(601\) −5.05364 + 5.05364i −0.206142 + 0.206142i −0.802626 0.596483i \(-0.796564\pi\)
0.596483 + 0.802626i \(0.296564\pi\)
\(602\) −2.92566 18.4719i −0.119241 0.752857i
\(603\) −5.33900 + 10.4784i −0.217421 + 0.426712i
\(604\) −2.80230 + 1.42784i −0.114024 + 0.0580981i
\(605\) −5.94854 + 18.3077i −0.241843 + 0.744315i
\(606\) 2.52661i 0.102637i
\(607\) −32.2830 10.4894i −1.31033 0.425751i −0.431165 0.902273i \(-0.641897\pi\)
−0.879163 + 0.476522i \(0.841897\pi\)
\(608\) 5.55983 + 0.880590i 0.225481 + 0.0357126i
\(609\) 0.844294 0.133723i 0.0342125 0.00541873i
\(610\) −1.11135 + 0.361100i −0.0449973 + 0.0146205i
\(611\) −6.16719 18.9807i −0.249498 0.767876i
\(612\) −8.40172 8.40172i −0.339619 0.339619i
\(613\) 9.06342 12.4747i 0.366068 0.503849i −0.585759 0.810485i \(-0.699203\pi\)
0.951827 + 0.306636i \(0.0992034\pi\)
\(614\) 0.970776 0.0391773
\(615\) 4.76854 2.13522i 0.192286 0.0861006i
\(616\) 20.7165 0.834691
\(617\) −0.427082 + 0.587827i −0.0171937 + 0.0236650i −0.817527 0.575890i \(-0.804656\pi\)
0.800334 + 0.599555i \(0.204656\pi\)
\(618\) −0.0702641 0.0702641i −0.00282644 0.00282644i
\(619\) 7.59558 + 23.3768i 0.305292 + 0.939593i 0.979568 + 0.201113i \(0.0644559\pi\)
−0.674276 + 0.738480i \(0.735544\pi\)
\(620\) 2.00295 0.650798i 0.0804404 0.0261367i
\(621\) −13.4682 + 2.13315i −0.540460 + 0.0856005i
\(622\) −8.48048 1.34318i −0.340036 0.0538564i
\(623\) 17.2084 + 5.59135i 0.689440 + 0.224013i
\(624\) 1.70671i 0.0683231i
\(625\) −8.60576 + 26.4858i −0.344230 + 1.05943i
\(626\) −18.9619 + 9.66157i −0.757870 + 0.386154i
\(627\) 0.256235 0.502889i 0.0102330 0.0200835i
\(628\) −1.62307 10.2477i −0.0647676 0.408927i
\(629\) 8.26391 8.26391i 0.329503 0.329503i
\(630\) −21.2039 10.8040i −0.844786 0.430440i
\(631\) −11.0214 + 8.00754i −0.438756 + 0.318775i −0.785141 0.619318i \(-0.787409\pi\)
0.346384 + 0.938093i \(0.387409\pi\)
\(632\) −9.77562 19.1857i −0.388853 0.763168i
\(633\) −7.55587 5.48966i −0.300319 0.218194i
\(634\) 0.936532 5.91303i 0.0371944 0.234836i
\(635\) 15.0430 + 20.7049i 0.596964 + 0.821650i
\(636\) −2.30855 3.17745i −0.0915399 0.125994i
\(637\) −10.6420 + 67.1907i −0.421650 + 2.66219i
\(638\) 0.494232 + 0.359080i 0.0195668 + 0.0142161i
\(639\) −9.51482 18.6739i −0.376400 0.738727i
\(640\) 20.2480 14.7110i 0.800373 0.581505i
\(641\) −8.46013 4.31065i −0.334155 0.170260i 0.278860 0.960332i \(-0.410043\pi\)
−0.613015 + 0.790071i \(0.710043\pi\)
\(642\) 2.39679 2.39679i 0.0945938 0.0945938i
\(643\) 6.20230 + 39.1598i 0.244595 + 1.54431i 0.738174 + 0.674610i \(0.235688\pi\)
−0.493579 + 0.869701i \(0.664312\pi\)
\(644\) 22.6124 44.3793i 0.891053 1.74879i
\(645\) −3.91645 + 1.99553i −0.154210 + 0.0785739i
\(646\) −0.578949 + 1.78182i −0.0227784 + 0.0701048i
\(647\) 40.5997i 1.59614i −0.602564 0.798070i \(-0.705854\pi\)
0.602564 0.798070i \(-0.294146\pi\)
\(648\) 18.7147 + 6.08077i 0.735183 + 0.238875i
\(649\) −14.1884 2.24723i −0.556945 0.0882114i
\(650\) −1.81721 + 0.287818i −0.0712769 + 0.0112892i
\(651\) 0.946054 0.307392i 0.0370788 0.0120476i
\(652\) −3.58117 11.0217i −0.140249 0.431643i
\(653\) −6.90831 6.90831i −0.270343 0.270343i 0.558895 0.829238i \(-0.311225\pi\)
−0.829238 + 0.558895i \(0.811225\pi\)
\(654\) −2.18542 + 3.00797i −0.0854565 + 0.117621i
\(655\) −38.6793 −1.51133
\(656\) 0.402874 8.01253i 0.0157296 0.312837i
\(657\) −28.0355 −1.09377
\(658\) −10.2582 + 14.1193i −0.399908 + 0.550426i
\(659\) −27.6241 27.6241i −1.07608 1.07608i −0.996857 0.0792258i \(-0.974755\pi\)
−0.0792258 0.996857i \(-0.525245\pi\)
\(660\) −0.644970 1.98501i −0.0251054 0.0772665i
\(661\) 35.4354 11.5137i 1.37828 0.447829i 0.476174 0.879351i \(-0.342023\pi\)
0.902102 + 0.431522i \(0.142023\pi\)
\(662\) 7.29110 1.15480i 0.283377 0.0448825i
\(663\) −3.69607 0.585400i −0.143543 0.0227350i
\(664\) −11.3384 3.68408i −0.440016 0.142970i
\(665\) 11.2748i 0.437220i
\(666\) −2.67770 + 8.24113i −0.103759 + 0.319337i
\(667\) 3.05293 1.55555i 0.118210 0.0602310i
\(668\) −12.9298 + 25.3761i −0.500267 + 0.981830i
\(669\) 0.511578 + 3.22997i 0.0197787 + 0.124878i
\(670\) 4.84885 4.84885i 0.187327 0.187327i
\(671\) 1.05602 + 0.538068i 0.0407671 + 0.0207719i
\(672\) 7.95446 5.77925i 0.306850 0.222939i
\(673\) −14.5486 28.5532i −0.560807 1.10065i −0.981144 0.193277i \(-0.938088\pi\)
0.420337 0.907368i \(-0.361912\pi\)
\(674\) −13.0748 9.49938i −0.503621 0.365902i
\(675\) −0.207041 + 1.30721i −0.00796903 + 0.0503144i
\(676\) −2.43609 3.35299i −0.0936958 0.128961i
\(677\) −21.5287 29.6318i −0.827417 1.13884i −0.988398 0.151884i \(-0.951466\pi\)
0.160982 0.986957i \(-0.448534\pi\)
\(678\) −0.305873 + 1.93121i −0.0117470 + 0.0741676i
\(679\) 16.2235 + 11.7870i 0.622600 + 0.452345i
\(680\) 7.33754 + 14.4007i 0.281382 + 0.552243i
\(681\) 0.422636 0.307063i 0.0161954 0.0117667i
\(682\) 0.633417 + 0.322742i 0.0242548 + 0.0123584i
\(683\) −32.2175 + 32.2175i −1.23277 + 1.23277i −0.269874 + 0.962896i \(0.586982\pi\)
−0.962896 + 0.269874i \(0.913018\pi\)
\(684\) 0.652935 + 4.12247i 0.0249656 + 0.157627i
\(685\) 19.1467 37.5775i 0.731557 1.43576i
\(686\) 31.3515 15.9744i 1.19701 0.609906i
\(687\) −1.56290 + 4.81012i −0.0596285 + 0.183518i
\(688\) 6.74936i 0.257317i
\(689\) 28.8033 + 9.35875i 1.09732 + 0.356540i
\(690\) 3.84805 + 0.609471i 0.146493 + 0.0232021i
\(691\) 12.3380 1.95415i 0.469360 0.0743394i 0.0827257 0.996572i \(-0.473637\pi\)
0.386635 + 0.922233i \(0.373637\pi\)
\(692\) −18.5129 + 6.01520i −0.703754 + 0.228663i
\(693\) 7.45870 + 22.9555i 0.283333 + 0.872008i
\(694\) 0.835439 + 0.835439i 0.0317128 + 0.0317128i
\(695\) 2.97783 4.09864i 0.112956 0.155470i
\(696\) 0.430449 0.0163161
\(697\) 17.2138 + 3.62076i 0.652020 + 0.137146i
\(698\) 24.4116 0.923994
\(699\) −3.00234 + 4.13236i −0.113559 + 0.156300i
\(700\) −3.41838 3.41838i −0.129202 0.129202i
\(701\) 10.2823 + 31.6458i 0.388358 + 1.19524i 0.934015 + 0.357235i \(0.116280\pi\)
−0.545656 + 0.838009i \(0.683720\pi\)
\(702\) 5.38538 1.74982i 0.203258 0.0660425i
\(703\) −4.05485 + 0.642225i −0.152932 + 0.0242220i
\(704\) 2.72132 + 0.431014i 0.102564 + 0.0162445i
\(705\) 3.90105 + 1.26753i 0.146922 + 0.0477378i
\(706\) 18.0951i 0.681019i
\(707\) −15.8192 + 48.6865i −0.594943 + 1.83105i
\(708\) −3.86602 + 1.96983i −0.145294 + 0.0740309i
\(709\) 12.6452 24.8176i 0.474901 0.932046i −0.521967 0.852966i \(-0.674802\pi\)
0.996868 0.0790803i \(-0.0251983\pi\)
\(710\) 1.91173 + 12.0702i 0.0717460 + 0.452986i
\(711\) 17.7397 17.7397i 0.665292 0.665292i
\(712\) 8.11825 + 4.13646i 0.304244 + 0.155020i
\(713\) 3.22574 2.34364i 0.120805 0.0877700i
\(714\) 1.48565 + 2.91575i 0.0555990 + 0.109119i
\(715\) 13.0206 + 9.45999i 0.486941 + 0.353784i
\(716\) −0.129932 + 0.820361i −0.00485580 + 0.0306583i
\(717\) 2.69701 + 3.71212i 0.100722 + 0.138632i
\(718\) −10.9721 15.1018i −0.409474 0.563593i
\(719\) 4.62484 29.2001i 0.172477 1.08898i −0.737812 0.675006i \(-0.764141\pi\)
0.910289 0.413973i \(-0.135859\pi\)
\(720\) 6.94809 + 5.04808i 0.258940 + 0.188131i
\(721\) 0.914029 + 1.79388i 0.0340402 + 0.0668077i
\(722\) −10.3304 + 7.50545i −0.384456 + 0.279324i
\(723\) 1.22139 + 0.622329i 0.0454239 + 0.0231447i
\(724\) −25.4924 + 25.4924i −0.947417 + 0.947417i
\(725\) −0.0520240 0.328467i −0.00193212 0.0121989i
\(726\) −0.891022 + 1.74873i −0.0330689 + 0.0649014i
\(727\) 12.9250 6.58561i 0.479361 0.244247i −0.197576 0.980288i \(-0.563307\pi\)
0.676937 + 0.736041i \(0.263307\pi\)
\(728\) −14.9102 + 45.8887i −0.552607 + 1.70075i
\(729\) 20.8493i 0.772195i
\(730\) 15.5473 + 5.05162i 0.575431 + 0.186969i
\(731\) −14.6165 2.31502i −0.540610 0.0856242i
\(732\) 0.353573 0.0560004i 0.0130684 0.00206983i
\(733\) 42.4622 13.7968i 1.56838 0.509596i 0.609347 0.792904i \(-0.291432\pi\)
0.959029 + 0.283307i \(0.0914316\pi\)
\(734\) 4.38743 + 13.5031i 0.161943 + 0.498410i
\(735\) −9.88653 9.88653i −0.364670 0.364670i
\(736\) 23.1651 31.8840i 0.853877 1.17526i
\(737\) −6.95502 −0.256191
\(738\) −12.5908 + 3.40235i −0.463475 + 0.125242i
\(739\) −2.65655 −0.0977228 −0.0488614 0.998806i \(-0.515559\pi\)
−0.0488614 + 0.998806i \(0.515559\pi\)
\(740\) −8.92358 + 12.2823i −0.328037 + 0.451505i
\(741\) 0.929522 + 0.929522i 0.0341468 + 0.0341468i
\(742\) −8.18403 25.1879i −0.300445 0.924676i
\(743\) −29.1554 + 9.47315i −1.06961 + 0.347536i −0.790334 0.612676i \(-0.790093\pi\)
−0.279272 + 0.960212i \(0.590093\pi\)
\(744\) 0.494740 0.0783591i 0.0181380 0.00287278i
\(745\) −3.56401 0.564484i −0.130575 0.0206811i
\(746\) 5.16384 + 1.67783i 0.189062 + 0.0614298i
\(747\) 13.8903i 0.508219i
\(748\) 2.17146 6.68305i 0.0793963 0.244357i
\(749\) −61.1914 + 31.1786i −2.23588 + 1.13924i
\(750\) −1.13727 + 2.23203i −0.0415274 + 0.0815020i
\(751\) 7.92192 + 50.0170i 0.289075 + 1.82515i 0.522343 + 0.852735i \(0.325058\pi\)
−0.233268 + 0.972412i \(0.574942\pi\)
\(752\) 4.45360 4.45360i 0.162406 0.162406i
\(753\) 8.35160 + 4.25535i 0.304349 + 0.155074i
\(754\) −1.15110 + 0.836325i −0.0419207 + 0.0304572i
\(755\) 2.26290 + 4.44120i 0.0823554 + 0.161632i
\(756\) 12.0370 + 8.74536i 0.437780 + 0.318066i
\(757\) 4.53435 28.6288i 0.164804 1.04053i −0.757153 0.653238i \(-0.773410\pi\)
0.921957 0.387293i \(-0.126590\pi\)
\(758\) 9.68519 + 13.3305i 0.351782 + 0.484186i
\(759\) −2.32265 3.19686i −0.0843069 0.116039i
\(760\) 0.888158 5.60761i 0.0322169 0.203409i
\(761\) 31.5410 + 22.9159i 1.14336 + 0.830700i 0.987584 0.157092i \(-0.0502119\pi\)
0.155777 + 0.987792i \(0.450212\pi\)
\(762\) 1.18461 + 2.32493i 0.0429140 + 0.0842235i
\(763\) 60.9449 44.2791i 2.20635 1.60301i
\(764\)