Properties

Label 91.2.w.a.33.6
Level $91$
Weight $2$
Character 91.33
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 33.6
Character \(\chi\) \(=\) 91.33
Dual form 91.2.w.a.80.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.470172 - 1.75471i) q^{2} +3.06997i q^{3} +(-1.12588 - 0.650030i) q^{4} +(0.288156 + 1.07541i) q^{5} +(5.38690 + 1.44342i) q^{6} +(0.381837 - 2.61805i) q^{7} +(0.899098 - 0.899098i) q^{8} -6.42473 q^{9} +O(q^{10})\) \(q+(0.470172 - 1.75471i) q^{2} +3.06997i q^{3} +(-1.12588 - 0.650030i) q^{4} +(0.288156 + 1.07541i) q^{5} +(5.38690 + 1.44342i) q^{6} +(0.381837 - 2.61805i) q^{7} +(0.899098 - 0.899098i) q^{8} -6.42473 q^{9} +2.02252 q^{10} +(-0.0909069 + 0.0909069i) q^{11} +(1.99557 - 3.45643i) q^{12} +(-3.59376 + 0.291296i) q^{13} +(-4.41439 - 1.90095i) q^{14} +(-3.30149 + 0.884632i) q^{15} +(-2.45498 - 4.25215i) q^{16} +(-0.136785 + 0.236918i) q^{17} +(-3.02073 + 11.2735i) q^{18} +(2.80666 - 2.80666i) q^{19} +(0.374620 - 1.39810i) q^{20} +(8.03735 + 1.17223i) q^{21} +(0.116773 + 0.202257i) q^{22} +(-0.426046 + 0.245978i) q^{23} +(2.76021 + 2.76021i) q^{24} +(3.25665 - 1.88023i) q^{25} +(-1.17855 + 6.44296i) q^{26} -10.5138i q^{27} +(-2.13172 + 2.69942i) q^{28} +(-4.62230 + 8.00606i) q^{29} +6.20908i q^{30} +(-6.92046 - 1.85433i) q^{31} +(-6.15917 + 1.65034i) q^{32} +(-0.279082 - 0.279082i) q^{33} +(0.351410 + 0.351410i) q^{34} +(2.92552 - 0.343776i) q^{35} +(7.23351 + 4.17627i) q^{36} +(3.85295 + 1.03240i) q^{37} +(-3.60526 - 6.24449i) q^{38} +(-0.894272 - 11.0328i) q^{39} +(1.22598 + 0.707822i) q^{40} +(2.31500 + 8.63969i) q^{41} +(5.83586 - 13.5520i) q^{42} +(8.44566 - 4.87610i) q^{43} +(0.161443 - 0.0432585i) q^{44} +(-1.85133 - 6.90925i) q^{45} +(0.231304 + 0.863237i) q^{46} +(-5.66021 + 1.51665i) q^{47} +(13.0540 - 7.53673i) q^{48} +(-6.70840 - 1.99934i) q^{49} +(-1.76806 - 6.59849i) q^{50} +(-0.727333 - 0.419926i) q^{51} +(4.23552 + 2.00809i) q^{52} +(0.467445 + 0.809639i) q^{53} +(-18.4487 - 4.94331i) q^{54} +(-0.123958 - 0.0715671i) q^{55} +(-2.01058 - 2.69719i) q^{56} +(8.61638 + 8.61638i) q^{57} +(11.8750 + 11.8750i) q^{58} +(6.64843 - 1.78144i) q^{59} +(4.29214 + 1.15007i) q^{60} +7.78764i q^{61} +(-6.50761 + 11.2715i) q^{62} +(-2.45320 + 16.8203i) q^{63} +1.76356i q^{64} +(-1.34883 - 3.78085i) q^{65} +(-0.620923 + 0.358490i) q^{66} +(-0.865162 - 0.865162i) q^{67} +(0.308008 - 0.177829i) q^{68} +(-0.755145 - 1.30795i) q^{69} +(0.772272 - 5.29506i) q^{70} +(-0.793943 + 2.96304i) q^{71} +(-5.77646 + 5.77646i) q^{72} +(0.0318328 - 0.118802i) q^{73} +(3.62311 - 6.27540i) q^{74} +(5.77224 + 9.99781i) q^{75} +(-4.98439 + 1.33556i) q^{76} +(0.203287 + 0.272711i) q^{77} +(-19.7797 - 3.61811i) q^{78} +(-5.72736 + 9.92007i) q^{79} +(3.86541 - 3.86541i) q^{80} +13.0030 q^{81} +16.2486 q^{82} +(8.07011 - 8.07011i) q^{83} +(-8.28715 - 6.54431i) q^{84} +(-0.294201 - 0.0788309i) q^{85} +(-4.58522 - 17.1123i) q^{86} +(-24.5784 - 14.1903i) q^{87} +0.163468i q^{88} +(-1.09599 + 4.09029i) q^{89} -12.9941 q^{90} +(-0.609601 + 9.51989i) q^{91} +0.639571 q^{92} +(5.69274 - 21.2456i) q^{93} +10.6451i q^{94} +(3.82708 + 2.20957i) q^{95} +(-5.06651 - 18.9085i) q^{96} +(-2.39359 - 0.641359i) q^{97} +(-6.66236 + 10.8312i) q^{98} +(0.584052 - 0.584052i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{4} - 6q^{5} + 12q^{6} + 2q^{7} - 4q^{8} - 12q^{9} - 12q^{10} + 2q^{11} + 8q^{12} - 20q^{14} + 10q^{15} - 2q^{16} - 6q^{17} - 4q^{18} - 8q^{19} - 36q^{20} - 2q^{21} - 8q^{22} - 6q^{23} + 12q^{24} + 24q^{26} - 18q^{28} - 8q^{29} - 38q^{31} - 20q^{32} + 18q^{33} + 12q^{34} - 2q^{35} + 54q^{36} - 16q^{37} + 28q^{39} + 48q^{40} + 18q^{41} - 4q^{42} + 48q^{43} - 6q^{44} + 12q^{45} + 18q^{46} - 42q^{47} + 12q^{48} + 8q^{49} + 10q^{50} + 12q^{51} - 28q^{52} + 12q^{53} - 30q^{54} - 6q^{55} - 24q^{56} + 12q^{57} + 62q^{58} - 6q^{59} + 16q^{60} - 36q^{62} - 38q^{63} - 2q^{65} + 66q^{66} - 4q^{67} + 30q^{68} + 42q^{69} + 68q^{70} - 42q^{71} - 38q^{72} + 14q^{73} - 6q^{74} - 20q^{75} + 52q^{76} - 62q^{78} + 4q^{79} + 12q^{80} + 12q^{81} - 108q^{82} - 66q^{83} - 56q^{84} - 54q^{85} - 30q^{86} + 42q^{87} - 30q^{89} - 72q^{90} - 42q^{91} - 156q^{92} + 14q^{93} - 6q^{95} + 18q^{96} + 62q^{97} + 112q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.470172 1.75471i 0.332462 1.24077i −0.574132 0.818762i \(-0.694661\pi\)
0.906594 0.422003i \(-0.138673\pi\)
\(3\) 3.06997i 1.77245i 0.463255 + 0.886225i \(0.346681\pi\)
−0.463255 + 0.886225i \(0.653319\pi\)
\(4\) −1.12588 0.650030i −0.562942 0.325015i
\(5\) 0.288156 + 1.07541i 0.128867 + 0.480940i 0.999948 0.0102004i \(-0.00324696\pi\)
−0.871081 + 0.491140i \(0.836580\pi\)
\(6\) 5.38690 + 1.44342i 2.19919 + 0.589272i
\(7\) 0.381837 2.61805i 0.144321 0.989531i
\(8\) 0.899098 0.899098i 0.317879 0.317879i
\(9\) −6.42473 −2.14158
\(10\) 2.02252 0.639577
\(11\) −0.0909069 + 0.0909069i −0.0274095 + 0.0274095i −0.720679 0.693269i \(-0.756170\pi\)
0.693269 + 0.720679i \(0.256170\pi\)
\(12\) 1.99557 3.45643i 0.576072 0.997787i
\(13\) −3.59376 + 0.291296i −0.996731 + 0.0807911i
\(14\) −4.41439 1.90095i −1.17979 0.508050i
\(15\) −3.30149 + 0.884632i −0.852441 + 0.228411i
\(16\) −2.45498 4.25215i −0.613746 1.06304i
\(17\) −0.136785 + 0.236918i −0.0331752 + 0.0574612i −0.882136 0.470994i \(-0.843895\pi\)
0.848961 + 0.528455i \(0.177229\pi\)
\(18\) −3.02073 + 11.2735i −0.711993 + 2.65720i
\(19\) 2.80666 2.80666i 0.643893 0.643893i −0.307617 0.951510i \(-0.599532\pi\)
0.951510 + 0.307617i \(0.0995317\pi\)
\(20\) 0.374620 1.39810i 0.0837676 0.312625i
\(21\) 8.03735 + 1.17223i 1.75389 + 0.255801i
\(22\) 0.116773 + 0.202257i 0.0248961 + 0.0431213i
\(23\) −0.426046 + 0.245978i −0.0888367 + 0.0512899i −0.543760 0.839241i \(-0.683000\pi\)
0.454924 + 0.890530i \(0.349667\pi\)
\(24\) 2.76021 + 2.76021i 0.563425 + 0.563425i
\(25\) 3.25665 1.88023i 0.651329 0.376045i
\(26\) −1.17855 + 6.44296i −0.231133 + 1.26357i
\(27\) 10.5138i 2.02339i
\(28\) −2.13172 + 2.69942i −0.402856 + 0.510142i
\(29\) −4.62230 + 8.00606i −0.858340 + 1.48669i 0.0151718 + 0.999885i \(0.495170\pi\)
−0.873512 + 0.486803i \(0.838163\pi\)
\(30\) 6.20908i 1.13362i
\(31\) −6.92046 1.85433i −1.24295 0.333048i −0.423341 0.905970i \(-0.639143\pi\)
−0.819609 + 0.572923i \(0.805810\pi\)
\(32\) −6.15917 + 1.65034i −1.08880 + 0.291742i
\(33\) −0.279082 0.279082i −0.0485819 0.0485819i
\(34\) 0.351410 + 0.351410i 0.0602663 + 0.0602663i
\(35\) 2.92552 0.343776i 0.494503 0.0581088i
\(36\) 7.23351 + 4.17627i 1.20558 + 0.696045i
\(37\) 3.85295 + 1.03240i 0.633422 + 0.169725i 0.561222 0.827665i \(-0.310331\pi\)
0.0721998 + 0.997390i \(0.476998\pi\)
\(38\) −3.60526 6.24449i −0.584850 1.01299i
\(39\) −0.894272 11.0328i −0.143198 1.76666i
\(40\) 1.22598 + 0.707822i 0.193845 + 0.111916i
\(41\) 2.31500 + 8.63969i 0.361542 + 1.34929i 0.872049 + 0.489419i \(0.162791\pi\)
−0.510507 + 0.859874i \(0.670542\pi\)
\(42\) 5.83586 13.5520i 0.900492 2.09113i
\(43\) 8.44566 4.87610i 1.28795 0.743599i 0.309662 0.950847i \(-0.399784\pi\)
0.978288 + 0.207248i \(0.0664506\pi\)
\(44\) 0.161443 0.0432585i 0.0243384 0.00652146i
\(45\) −1.85133 6.90925i −0.275980 1.02997i
\(46\) 0.231304 + 0.863237i 0.0341039 + 0.127277i
\(47\) −5.66021 + 1.51665i −0.825627 + 0.221226i −0.646805 0.762655i \(-0.723895\pi\)
−0.178822 + 0.983881i \(0.557229\pi\)
\(48\) 13.0540 7.53673i 1.88418 1.08783i
\(49\) −6.70840 1.99934i −0.958343 0.285619i
\(50\) −1.76806 6.59849i −0.250041 0.933167i
\(51\) −0.727333 0.419926i −0.101847 0.0588014i
\(52\) 4.23552 + 2.00809i 0.587360 + 0.278472i
\(53\) 0.467445 + 0.809639i 0.0642086 + 0.111212i 0.896343 0.443362i \(-0.146214\pi\)
−0.832134 + 0.554574i \(0.812881\pi\)
\(54\) −18.4487 4.94331i −2.51055 0.672700i
\(55\) −0.123958 0.0715671i −0.0167145 0.00965011i
\(56\) −2.01058 2.69719i −0.268675 0.360428i
\(57\) 8.61638 + 8.61638i 1.14127 + 1.14127i
\(58\) 11.8750 + 11.8750i 1.55927 + 1.55927i
\(59\) 6.64843 1.78144i 0.865552 0.231924i 0.201389 0.979511i \(-0.435455\pi\)
0.664163 + 0.747587i \(0.268788\pi\)
\(60\) 4.29214 + 1.15007i 0.554112 + 0.148474i
\(61\) 7.78764i 0.997105i 0.866860 + 0.498552i \(0.166135\pi\)
−0.866860 + 0.498552i \(0.833865\pi\)
\(62\) −6.50761 + 11.2715i −0.826468 + 1.43148i
\(63\) −2.45320 + 16.8203i −0.309074 + 2.11916i
\(64\) 1.76356i 0.220444i
\(65\) −1.34883 3.78085i −0.167302 0.468956i
\(66\) −0.620923 + 0.358490i −0.0764303 + 0.0441271i
\(67\) −0.865162 0.865162i −0.105696 0.105696i 0.652281 0.757977i \(-0.273812\pi\)
−0.757977 + 0.652281i \(0.773812\pi\)
\(68\) 0.308008 0.177829i 0.0373515 0.0215649i
\(69\) −0.755145 1.30795i −0.0909087 0.157459i
\(70\) 0.772272 5.29506i 0.0923041 0.632881i
\(71\) −0.793943 + 2.96304i −0.0942237 + 0.351648i −0.996901 0.0786713i \(-0.974932\pi\)
0.902677 + 0.430319i \(0.141599\pi\)
\(72\) −5.77646 + 5.77646i −0.680763 + 0.680763i
\(73\) 0.0318328 0.118802i 0.00372575 0.0139047i −0.964038 0.265765i \(-0.914376\pi\)
0.967764 + 0.251860i \(0.0810422\pi\)
\(74\) 3.62311 6.27540i 0.421177 0.729501i
\(75\) 5.77224 + 9.99781i 0.666521 + 1.15445i
\(76\) −4.98439 + 1.33556i −0.571749 + 0.153200i
\(77\) 0.203287 + 0.272711i 0.0231668 + 0.0310782i
\(78\) −19.7797 3.61811i −2.23961 0.409671i
\(79\) −5.72736 + 9.92007i −0.644378 + 1.11610i 0.340067 + 0.940401i \(0.389550\pi\)
−0.984445 + 0.175694i \(0.943783\pi\)
\(80\) 3.86541 3.86541i 0.432166 0.432166i
\(81\) 13.0030 1.44478
\(82\) 16.2486 1.79436
\(83\) 8.07011 8.07011i 0.885810 0.885810i −0.108308 0.994117i \(-0.534543\pi\)
0.994117 + 0.108308i \(0.0345432\pi\)
\(84\) −8.28715 6.54431i −0.904202 0.714043i
\(85\) −0.294201 0.0788309i −0.0319106 0.00855041i
\(86\) −4.58522 17.1123i −0.494437 1.84526i
\(87\) −24.5784 14.1903i −2.63508 1.52136i
\(88\) 0.163468i 0.0174258i
\(89\) −1.09599 + 4.09029i −0.116175 + 0.433570i −0.999372 0.0354314i \(-0.988719\pi\)
0.883197 + 0.469002i \(0.155386\pi\)
\(90\) −12.9941 −1.36970
\(91\) −0.609601 + 9.51989i −0.0639036 + 0.997956i
\(92\) 0.639571 0.0666799
\(93\) 5.69274 21.2456i 0.590310 2.20307i
\(94\) 10.6451i 1.09796i
\(95\) 3.82708 + 2.20957i 0.392650 + 0.226697i
\(96\) −5.06651 18.9085i −0.517099 1.92984i
\(97\) −2.39359 0.641359i −0.243032 0.0651202i 0.135247 0.990812i \(-0.456817\pi\)
−0.378279 + 0.925692i \(0.623484\pi\)
\(98\) −6.66236 + 10.8312i −0.672999 + 1.09412i
\(99\) 0.584052 0.584052i 0.0586995 0.0586995i
\(100\) −4.88881 −0.488881
\(101\) 1.68844 0.168006 0.0840029 0.996466i \(-0.473229\pi\)
0.0840029 + 0.996466i \(0.473229\pi\)
\(102\) −1.07882 + 1.07882i −0.106819 + 0.106819i
\(103\) 4.38460 7.59435i 0.432027 0.748293i −0.565021 0.825077i \(-0.691132\pi\)
0.997048 + 0.0767837i \(0.0244651\pi\)
\(104\) −2.96924 + 3.49305i −0.291158 + 0.342522i
\(105\) 1.05538 + 8.98126i 0.102995 + 0.876482i
\(106\) 1.64046 0.439560i 0.159336 0.0426938i
\(107\) 1.34893 + 2.33642i 0.130406 + 0.225870i 0.923833 0.382795i \(-0.125039\pi\)
−0.793427 + 0.608665i \(0.791705\pi\)
\(108\) −6.83431 + 11.8374i −0.657631 + 1.13905i
\(109\) 2.40526 8.97655i 0.230382 0.859798i −0.749794 0.661671i \(-0.769848\pi\)
0.980176 0.198127i \(-0.0634857\pi\)
\(110\) −0.183861 + 0.183861i −0.0175305 + 0.0175305i
\(111\) −3.16943 + 11.8285i −0.300829 + 1.12271i
\(112\) −12.0698 + 4.80365i −1.14049 + 0.453902i
\(113\) −1.73470 3.00459i −0.163187 0.282648i 0.772823 0.634622i \(-0.218844\pi\)
−0.936010 + 0.351973i \(0.885511\pi\)
\(114\) 19.1704 11.0680i 1.79547 1.03662i
\(115\) −0.387295 0.387295i −0.0361155 0.0361155i
\(116\) 10.4084 6.00927i 0.966392 0.557946i
\(117\) 23.0890 1.87150i 2.13458 0.173020i
\(118\) 12.5036i 1.15105i
\(119\) 0.568035 + 0.448574i 0.0520717 + 0.0411207i
\(120\) −2.17299 + 3.76373i −0.198366 + 0.343580i
\(121\) 10.9835i 0.998497i
\(122\) 13.6650 + 3.66153i 1.23717 + 0.331499i
\(123\) −26.5236 + 7.10698i −2.39155 + 0.640815i
\(124\) 6.58626 + 6.58626i 0.591464 + 0.591464i
\(125\) 6.89673 + 6.89673i 0.616862 + 0.616862i
\(126\) 28.3613 + 12.2131i 2.52662 + 1.08803i
\(127\) −1.51307 0.873573i −0.134264 0.0775171i 0.431364 0.902178i \(-0.358033\pi\)
−0.565627 + 0.824661i \(0.691366\pi\)
\(128\) −9.22381 2.47151i −0.815278 0.218453i
\(129\) 14.9695 + 25.9279i 1.31799 + 2.28283i
\(130\) −7.26846 + 0.589153i −0.637486 + 0.0516721i
\(131\) −5.14945 2.97304i −0.449909 0.259755i 0.257882 0.966176i \(-0.416975\pi\)
−0.707792 + 0.706421i \(0.750309\pi\)
\(132\) 0.132802 + 0.495625i 0.0115590 + 0.0431386i
\(133\) −6.27631 8.41968i −0.544225 0.730079i
\(134\) −1.92488 + 1.11133i −0.166284 + 0.0960043i
\(135\) 11.3067 3.02963i 0.973128 0.260749i
\(136\) 0.0900298 + 0.335996i 0.00771999 + 0.0288114i
\(137\) −5.08379 18.9730i −0.434337 1.62097i −0.742647 0.669683i \(-0.766430\pi\)
0.308309 0.951286i \(-0.400237\pi\)
\(138\) −2.65012 + 0.710096i −0.225593 + 0.0604474i
\(139\) −4.80542 + 2.77441i −0.407590 + 0.235322i −0.689754 0.724044i \(-0.742281\pi\)
0.282164 + 0.959366i \(0.408948\pi\)
\(140\) −3.51726 1.51462i −0.297263 0.128009i
\(141\) −4.65607 17.3767i −0.392112 1.46338i
\(142\) 4.82597 + 2.78627i 0.404986 + 0.233819i
\(143\) 0.300217 0.353179i 0.0251054 0.0295343i
\(144\) 15.7726 + 27.3189i 1.31438 + 2.27658i
\(145\) −9.94177 2.66389i −0.825619 0.221224i
\(146\) −0.193495 0.111715i −0.0160138 0.00924556i
\(147\) 6.13791 20.5946i 0.506246 1.69861i
\(148\) −3.66689 3.66689i −0.301417 0.301417i
\(149\) −0.304723 0.304723i −0.0249638 0.0249638i 0.694515 0.719479i \(-0.255619\pi\)
−0.719479 + 0.694515i \(0.755619\pi\)
\(150\) 20.2572 5.42790i 1.65399 0.443186i
\(151\) −3.42678 0.918204i −0.278868 0.0747224i 0.116674 0.993170i \(-0.462777\pi\)
−0.395542 + 0.918448i \(0.629443\pi\)
\(152\) 5.04693i 0.409360i
\(153\) 0.878806 1.52214i 0.0710473 0.123058i
\(154\) 0.574107 0.228489i 0.0462629 0.0184122i
\(155\) 7.97669i 0.640703i
\(156\) −6.16478 + 13.0029i −0.493577 + 1.04107i
\(157\) 3.24916 1.87590i 0.259311 0.149713i −0.364709 0.931122i \(-0.618832\pi\)
0.624020 + 0.781408i \(0.285498\pi\)
\(158\) 14.7140 + 14.7140i 1.17058 + 1.17058i
\(159\) −2.48557 + 1.43504i −0.197119 + 0.113806i
\(160\) −3.54961 6.14810i −0.280621 0.486050i
\(161\) 0.481303 + 1.20933i 0.0379320 + 0.0953088i
\(162\) 6.11365 22.8164i 0.480333 1.79263i
\(163\) 4.76102 4.76102i 0.372912 0.372912i −0.495625 0.868537i \(-0.665061\pi\)
0.868537 + 0.495625i \(0.165061\pi\)
\(164\) 3.00964 11.2321i 0.235013 0.877081i
\(165\) 0.219709 0.380547i 0.0171043 0.0296256i
\(166\) −10.3663 17.9550i −0.804584 1.39358i
\(167\) 11.3562 3.04289i 0.878770 0.235466i 0.208894 0.977938i \(-0.433014\pi\)
0.669876 + 0.742473i \(0.266347\pi\)
\(168\) 8.28031 6.17242i 0.638840 0.476212i
\(169\) 12.8303 2.09370i 0.986946 0.161054i
\(170\) −0.276650 + 0.479172i −0.0212181 + 0.0367508i
\(171\) −18.0321 + 18.0321i −1.37895 + 1.37895i
\(172\) −12.6784 −0.966723
\(173\) −16.1407 −1.22715 −0.613576 0.789636i \(-0.710270\pi\)
−0.613576 + 0.789636i \(0.710270\pi\)
\(174\) −36.4560 + 36.4560i −2.76372 + 2.76372i
\(175\) −3.67902 9.24401i −0.278108 0.698781i
\(176\) 0.609725 + 0.163375i 0.0459597 + 0.0123149i
\(177\) 5.46898 + 20.4105i 0.411074 + 1.53415i
\(178\) 6.66196 + 3.84629i 0.499335 + 0.288291i
\(179\) 9.19578i 0.687325i 0.939093 + 0.343663i \(0.111668\pi\)
−0.939093 + 0.343663i \(0.888332\pi\)
\(180\) −2.40684 + 8.98243i −0.179395 + 0.669511i
\(181\) −14.6492 −1.08887 −0.544433 0.838804i \(-0.683255\pi\)
−0.544433 + 0.838804i \(0.683255\pi\)
\(182\) 16.4180 + 5.54566i 1.21698 + 0.411072i
\(183\) −23.9078 −1.76732
\(184\) −0.161899 + 0.604215i −0.0119353 + 0.0445433i
\(185\) 4.44101i 0.326510i
\(186\) −34.6033 19.9782i −2.53723 1.46487i
\(187\) −0.00910282 0.0339722i −0.000665664 0.00248429i
\(188\) 7.35861 + 1.97173i 0.536682 + 0.143804i
\(189\) −27.5258 4.01457i −2.00221 0.292017i
\(190\) 5.67653 5.67653i 0.411819 0.411819i
\(191\) 6.03264 0.436507 0.218253 0.975892i \(-0.429964\pi\)
0.218253 + 0.975892i \(0.429964\pi\)
\(192\) −5.41407 −0.390727
\(193\) 0.290670 0.290670i 0.0209229 0.0209229i −0.696568 0.717491i \(-0.745291\pi\)
0.717491 + 0.696568i \(0.245291\pi\)
\(194\) −2.25080 + 3.89849i −0.161598 + 0.279895i
\(195\) 11.6071 4.14087i 0.831201 0.296534i
\(196\) 6.25326 + 6.61168i 0.446661 + 0.472263i
\(197\) 18.9784 5.08526i 1.35216 0.362309i 0.491227 0.871032i \(-0.336549\pi\)
0.860931 + 0.508722i \(0.169882\pi\)
\(198\) −0.750235 1.29945i −0.0533169 0.0923476i
\(199\) 8.71102 15.0879i 0.617508 1.06956i −0.372431 0.928060i \(-0.621476\pi\)
0.989939 0.141495i \(-0.0451910\pi\)
\(200\) 1.23754 4.61855i 0.0875071 0.326581i
\(201\) 2.65602 2.65602i 0.187341 0.187341i
\(202\) 0.793857 2.96271i 0.0558556 0.208456i
\(203\) 19.1953 + 15.1584i 1.34725 + 1.06391i
\(204\) 0.545929 + 0.945576i 0.0382227 + 0.0662036i
\(205\) −8.62416 + 4.97916i −0.602338 + 0.347760i
\(206\) −11.2643 11.2643i −0.784824 0.784824i
\(207\) 2.73723 1.58034i 0.190251 0.109841i
\(208\) 10.0613 + 14.5661i 0.697623 + 1.00998i
\(209\) 0.510290i 0.0352975i
\(210\) 16.2557 + 2.37085i 1.12175 + 0.163604i
\(211\) 7.69760 13.3326i 0.529925 0.917856i −0.469466 0.882951i \(-0.655554\pi\)
0.999391 0.0349058i \(-0.0111131\pi\)
\(212\) 1.21541i 0.0834749i
\(213\) −9.09644 2.43738i −0.623278 0.167007i
\(214\) 4.73396 1.26846i 0.323607 0.0867102i
\(215\) 7.67750 + 7.67750i 0.523601 + 0.523601i
\(216\) −9.45297 9.45297i −0.643193 0.643193i
\(217\) −7.49722 + 17.4101i −0.508944 + 1.18187i
\(218\) −14.6203 8.44105i −0.990214 0.571700i
\(219\) 0.364718 + 0.0977259i 0.0246454 + 0.00660370i
\(220\) 0.0930415 + 0.161153i 0.00627286 + 0.0108649i
\(221\) 0.422559 0.891274i 0.0284244 0.0599536i
\(222\) 19.2653 + 11.1228i 1.29300 + 0.746516i
\(223\) −3.59157 13.4039i −0.240509 0.897592i −0.975588 0.219610i \(-0.929521\pi\)
0.735079 0.677982i \(-0.237145\pi\)
\(224\) 1.96889 + 16.7552i 0.131552 + 1.11950i
\(225\) −20.9231 + 12.0799i −1.39487 + 0.805330i
\(226\) −6.08779 + 1.63122i −0.404954 + 0.108507i
\(227\) 3.09161 + 11.5380i 0.205197 + 0.765807i 0.989389 + 0.145289i \(0.0464111\pi\)
−0.784192 + 0.620518i \(0.786922\pi\)
\(228\) −4.10015 15.3020i −0.271539 1.01340i
\(229\) −23.7322 + 6.35901i −1.56826 + 0.420215i −0.935268 0.353939i \(-0.884842\pi\)
−0.632997 + 0.774155i \(0.718175\pi\)
\(230\) −0.861686 + 0.497495i −0.0568179 + 0.0328038i
\(231\) −0.837214 + 0.624087i −0.0550846 + 0.0410619i
\(232\) 3.04233 + 11.3541i 0.199739 + 0.745435i
\(233\) −15.3919 8.88654i −1.00836 0.582177i −0.0976486 0.995221i \(-0.531132\pi\)
−0.910711 + 0.413044i \(0.864465\pi\)
\(234\) 7.57186 41.3943i 0.494988 2.70603i
\(235\) −3.26205 5.65004i −0.212793 0.368568i
\(236\) −8.64336 2.31598i −0.562635 0.150757i
\(237\) −30.4544 17.5828i −1.97822 1.14213i
\(238\) 1.05419 0.785829i 0.0683331 0.0509377i
\(239\) 17.0580 + 17.0580i 1.10339 + 1.10339i 0.993999 + 0.109392i \(0.0348902\pi\)
0.109392 + 0.993999i \(0.465110\pi\)
\(240\) 11.8667 + 11.8667i 0.765992 + 0.765992i
\(241\) 10.0223 2.68547i 0.645594 0.172986i 0.0788579 0.996886i \(-0.474873\pi\)
0.566736 + 0.823900i \(0.308206\pi\)
\(242\) 19.2728 + 5.16413i 1.23890 + 0.331963i
\(243\) 8.37731i 0.537405i
\(244\) 5.06220 8.76798i 0.324074 0.561312i
\(245\) 0.217046 7.79043i 0.0138666 0.497712i
\(246\) 49.8827i 3.18040i
\(247\) −9.26892 + 10.9041i −0.589767 + 0.693809i
\(248\) −7.88939 + 4.55494i −0.500977 + 0.289239i
\(249\) 24.7750 + 24.7750i 1.57005 + 1.57005i
\(250\) 15.3444 8.85909i 0.970465 0.560298i
\(251\) 4.56198 + 7.90158i 0.287950 + 0.498743i 0.973320 0.229451i \(-0.0736931\pi\)
−0.685371 + 0.728194i \(0.740360\pi\)
\(252\) 13.6957 17.3431i 0.862748 1.09251i
\(253\) 0.0163694 0.0610915i 0.00102914 0.00384079i
\(254\) −2.24427 + 2.24427i −0.140818 + 0.140818i
\(255\) 0.242009 0.903188i 0.0151552 0.0565599i
\(256\) −10.4371 + 18.0776i −0.652320 + 1.12985i
\(257\) −15.3580 26.6008i −0.958003 1.65931i −0.727342 0.686276i \(-0.759244\pi\)
−0.230661 0.973034i \(-0.574089\pi\)
\(258\) 52.5342 14.0765i 3.27064 0.876364i
\(259\) 4.17407 9.69303i 0.259364 0.602296i
\(260\) −0.939035 + 5.13358i −0.0582365 + 0.318371i
\(261\) 29.6970 51.4368i 1.83820 3.18386i
\(262\) −7.63794 + 7.63794i −0.471873 + 0.471873i
\(263\) 5.54678 0.342029 0.171015 0.985268i \(-0.445295\pi\)
0.171015 + 0.985268i \(0.445295\pi\)
\(264\) −0.501843 −0.0308863
\(265\) −0.736000 + 0.736000i −0.0452121 + 0.0452121i
\(266\) −17.7250 + 7.05438i −1.08679 + 0.432532i
\(267\) −12.5571 3.36466i −0.768481 0.205914i
\(268\) 0.411691 + 1.53645i 0.0251481 + 0.0938538i
\(269\) 4.72057 + 2.72542i 0.287818 + 0.166172i 0.636958 0.770899i \(-0.280193\pi\)
−0.349139 + 0.937071i \(0.613526\pi\)
\(270\) 21.2644i 1.29411i
\(271\) 2.76799 10.3303i 0.168144 0.627521i −0.829475 0.558544i \(-0.811360\pi\)
0.997618 0.0689762i \(-0.0219733\pi\)
\(272\) 1.34322 0.0814446
\(273\) −29.2258 1.87146i −1.76883 0.113266i
\(274\) −35.6823 −2.15564
\(275\) −0.125126 + 0.466977i −0.00754539 + 0.0281598i
\(276\) 1.96347i 0.118187i
\(277\) 21.2619 + 12.2755i 1.27750 + 0.737566i 0.976388 0.216023i \(-0.0693086\pi\)
0.301113 + 0.953588i \(0.402642\pi\)
\(278\) 2.60890 + 9.73655i 0.156472 + 0.583960i
\(279\) 44.4621 + 11.9136i 2.66187 + 0.713247i
\(280\) 2.32124 2.93942i 0.138721 0.175664i
\(281\) 8.66937 8.66937i 0.517172 0.517172i −0.399543 0.916714i \(-0.630831\pi\)
0.916714 + 0.399543i \(0.130831\pi\)
\(282\) −32.6802 −1.94608
\(283\) 2.83541 0.168548 0.0842738 0.996443i \(-0.473143\pi\)
0.0842738 + 0.996443i \(0.473143\pi\)
\(284\) 2.81995 2.81995i 0.167333 0.167333i
\(285\) −6.78331 + 11.7490i −0.401809 + 0.695953i
\(286\) −0.478571 0.692848i −0.0282985 0.0409690i
\(287\) 23.5031 2.76184i 1.38735 0.163026i
\(288\) 39.5710 10.6030i 2.33174 0.624789i
\(289\) 8.46258 + 14.6576i 0.497799 + 0.862213i
\(290\) −9.34870 + 16.1924i −0.548974 + 0.950851i
\(291\) 1.96896 7.34824i 0.115422 0.430762i
\(292\) −0.113065 + 0.113065i −0.00661661 + 0.00661661i
\(293\) −5.11331 + 19.0831i −0.298723 + 1.11485i 0.639493 + 0.768797i \(0.279144\pi\)
−0.938215 + 0.346052i \(0.887522\pi\)
\(294\) −33.2516 20.4532i −1.93927 1.19286i
\(295\) 3.83157 + 6.63648i 0.223083 + 0.386391i
\(296\) 4.39241 2.53596i 0.255304 0.147400i
\(297\) 0.955780 + 0.955780i 0.0554600 + 0.0554600i
\(298\) −0.677971 + 0.391427i −0.0392738 + 0.0226747i
\(299\) 1.45946 1.00809i 0.0844025 0.0582994i
\(300\) 15.0085i 0.866517i
\(301\) −9.54104 23.9731i −0.549936 1.38178i
\(302\) −3.22236 + 5.58129i −0.185426 + 0.321167i
\(303\) 5.18346i 0.297782i
\(304\) −18.8247 5.04406i −1.07967 0.289296i
\(305\) −8.37493 + 2.24406i −0.479547 + 0.128494i
\(306\) −2.25772 2.25772i −0.129065 0.129065i
\(307\) 6.98294 + 6.98294i 0.398537 + 0.398537i 0.877717 0.479180i \(-0.159066\pi\)
−0.479180 + 0.877717i \(0.659066\pi\)
\(308\) −0.0516082 0.439183i −0.00294065 0.0250248i
\(309\) 23.3144 + 13.4606i 1.32631 + 0.765746i
\(310\) −13.9968 3.75042i −0.794962 0.213010i
\(311\) −13.2286 22.9126i −0.750126 1.29926i −0.947761 0.318980i \(-0.896660\pi\)
0.197636 0.980276i \(-0.436674\pi\)
\(312\) −10.7236 9.11549i −0.607103 0.516063i
\(313\) 10.2371 + 5.91040i 0.578636 + 0.334076i 0.760591 0.649231i \(-0.224909\pi\)
−0.181955 + 0.983307i \(0.558243\pi\)
\(314\) −1.76400 6.58332i −0.0995480 0.371518i
\(315\) −18.7957 + 2.20867i −1.05902 + 0.124444i
\(316\) 12.8967 7.44590i 0.725495 0.418865i
\(317\) −3.52831 + 0.945407i −0.198170 + 0.0530994i −0.356538 0.934281i \(-0.616043\pi\)
0.158369 + 0.987380i \(0.449376\pi\)
\(318\) 1.34944 + 5.03617i 0.0756726 + 0.282414i
\(319\) −0.307607 1.14800i −0.0172227 0.0642759i
\(320\) −1.89655 + 0.508180i −0.106020 + 0.0284081i
\(321\) −7.17274 + 4.14118i −0.400343 + 0.231138i
\(322\) 2.34832 0.275950i 0.130867 0.0153781i
\(323\) 0.281041 + 1.04886i 0.0156375 + 0.0583601i
\(324\) −14.6399 8.45233i −0.813326 0.469574i
\(325\) −11.1559 + 7.70574i −0.618819 + 0.427437i
\(326\) −6.11569 10.5927i −0.338717 0.586675i
\(327\) 27.5578 + 7.38408i 1.52395 + 0.408341i
\(328\) 9.84934 + 5.68652i 0.543839 + 0.313985i
\(329\) 1.80939 + 15.3978i 0.0997550 + 0.848911i
\(330\) −0.564448 0.564448i −0.0310718 0.0310718i
\(331\) 6.09024 + 6.09024i 0.334750 + 0.334750i 0.854387 0.519637i \(-0.173933\pi\)
−0.519637 + 0.854387i \(0.673933\pi\)
\(332\) −14.3318 + 3.84020i −0.786561 + 0.210758i
\(333\) −24.7542 6.63287i −1.35652 0.363479i
\(334\) 21.3575i 1.16863i
\(335\) 0.681105 1.17971i 0.0372128 0.0644544i
\(336\) −14.7471 37.0538i −0.804518 2.02145i
\(337\) 26.3426i 1.43497i 0.696572 + 0.717487i \(0.254708\pi\)
−0.696572 + 0.717487i \(0.745292\pi\)
\(338\) 2.35862 23.4978i 0.128292 1.27811i
\(339\) 9.22402 5.32549i 0.500980 0.289241i
\(340\) 0.279994 + 0.279994i 0.0151848 + 0.0151848i
\(341\) 0.797688 0.460546i 0.0431972 0.0249399i
\(342\) 23.1628 + 40.1192i 1.25250 + 2.16940i
\(343\) −7.79588 + 16.7995i −0.420938 + 0.907089i
\(344\) 3.20938 11.9776i 0.173038 0.645787i
\(345\) 1.18899 1.18899i 0.0640129 0.0640129i
\(346\) −7.58889 + 28.3221i −0.407981 + 1.52261i
\(347\) −2.61338 + 4.52651i −0.140294 + 0.242996i −0.927607 0.373557i \(-0.878138\pi\)
0.787314 + 0.616553i \(0.211471\pi\)
\(348\) 18.4483 + 31.9534i 0.988932 + 1.71288i
\(349\) 11.2071 3.00292i 0.599900 0.160743i 0.0539262 0.998545i \(-0.482826\pi\)
0.545974 + 0.837802i \(0.316160\pi\)
\(350\) −17.9503 + 2.10933i −0.959484 + 0.112748i
\(351\) 3.06264 + 37.7842i 0.163472 + 2.01677i
\(352\) 0.409883 0.709938i 0.0218468 0.0378398i
\(353\) 6.10423 6.10423i 0.324895 0.324895i −0.525746 0.850641i \(-0.676214\pi\)
0.850641 + 0.525746i \(0.176214\pi\)
\(354\) 38.3858 2.04018
\(355\) −3.41527 −0.181264
\(356\) 3.89277 3.89277i 0.206316 0.206316i
\(357\) −1.37711 + 1.74385i −0.0728844 + 0.0922945i
\(358\) 16.1359 + 4.32360i 0.852809 + 0.228510i
\(359\) −8.03606 29.9910i −0.424127 1.58286i −0.765822 0.643053i \(-0.777668\pi\)
0.341695 0.939811i \(-0.388999\pi\)
\(360\) −7.87661 4.54756i −0.415134 0.239678i
\(361\) 3.24528i 0.170804i
\(362\) −6.88765 + 25.7051i −0.362007 + 1.35103i
\(363\) −33.7190 −1.76979
\(364\) 6.87456 10.3220i 0.360325 0.541022i
\(365\) 0.136934 0.00716744
\(366\) −11.2408 + 41.9512i −0.587566 + 2.19283i
\(367\) 2.61926i 0.136724i 0.997661 + 0.0683622i \(0.0217773\pi\)
−0.997661 + 0.0683622i \(0.978223\pi\)
\(368\) 2.09187 + 1.20774i 0.109046 + 0.0629579i
\(369\) −14.8732 55.5077i −0.774270 2.88962i
\(370\) 7.79268 + 2.08804i 0.405122 + 0.108552i
\(371\) 2.29817 0.914647i 0.119315 0.0474861i
\(372\) −20.2197 + 20.2197i −1.04834 + 1.04834i
\(373\) 35.8363 1.85553 0.927767 0.373161i \(-0.121726\pi\)
0.927767 + 0.373161i \(0.121726\pi\)
\(374\) −0.0638912 −0.00330373
\(375\) −21.1728 + 21.1728i −1.09336 + 1.09336i
\(376\) −3.72547 + 6.45270i −0.192126 + 0.332773i
\(377\) 14.2793 30.1184i 0.735423 1.55117i
\(378\) −19.9862 + 46.4121i −1.02798 + 2.38718i
\(379\) −22.2660 + 5.96617i −1.14373 + 0.306461i −0.780450 0.625219i \(-0.785010\pi\)
−0.363280 + 0.931680i \(0.618343\pi\)
\(380\) −2.87257 4.97544i −0.147360 0.255234i
\(381\) 2.68185 4.64509i 0.137395 0.237975i
\(382\) 2.83638 10.5855i 0.145122 0.541602i
\(383\) −9.22669 + 9.22669i −0.471462 + 0.471462i −0.902387 0.430926i \(-0.858187\pi\)
0.430926 + 0.902387i \(0.358187\pi\)
\(384\) 7.58748 28.3169i 0.387197 1.44504i
\(385\) −0.234698 + 0.297201i −0.0119613 + 0.0151468i
\(386\) −0.373376 0.646707i −0.0190044 0.0329165i
\(387\) −54.2611 + 31.3277i −2.75825 + 1.59247i
\(388\) 2.27800 + 2.27800i 0.115648 + 0.115648i
\(389\) −21.4938 + 12.4094i −1.08978 + 0.629183i −0.933517 0.358533i \(-0.883277\pi\)
−0.156260 + 0.987716i \(0.549944\pi\)
\(390\) −1.80868 22.3140i −0.0915862 1.12991i
\(391\) 0.134584i 0.00680621i
\(392\) −7.82911 + 4.23391i −0.395430 + 0.213845i
\(393\) 9.12714 15.8087i 0.460403 0.797442i
\(394\) 35.6925i 1.79816i
\(395\) −12.3186 3.30075i −0.619814 0.166079i
\(396\) −1.03723 + 0.277924i −0.0521226 + 0.0139662i
\(397\) 6.84066 + 6.84066i 0.343323 + 0.343323i 0.857615 0.514292i \(-0.171945\pi\)
−0.514292 + 0.857615i \(0.671945\pi\)
\(398\) −22.3792 22.3792i −1.12177 1.12177i
\(399\) 25.8482 19.2681i 1.29403 0.964611i
\(400\) −15.9900 9.23184i −0.799501 0.461592i
\(401\) 6.76490 + 1.81265i 0.337823 + 0.0905194i 0.423743 0.905783i \(-0.360716\pi\)
−0.0859195 + 0.996302i \(0.527383\pi\)
\(402\) −3.41175 5.90933i −0.170163 0.294731i
\(403\) 25.4107 + 4.64813i 1.26579 + 0.231540i
\(404\) −1.90099 1.09754i −0.0945776 0.0546044i
\(405\) 3.74689 + 13.9836i 0.186185 + 0.694850i
\(406\) 35.6237 26.5551i 1.76798 1.31791i
\(407\) −0.444112 + 0.256408i −0.0220138 + 0.0127097i
\(408\) −1.03150 + 0.276389i −0.0510668 + 0.0136833i
\(409\) −3.93505 14.6858i −0.194576 0.726166i −0.992376 0.123245i \(-0.960670\pi\)
0.797801 0.602921i \(-0.205997\pi\)
\(410\) 4.68213 + 17.4739i 0.231234 + 0.862977i
\(411\) 58.2465 15.6071i 2.87309 0.769841i
\(412\) −9.87310 + 5.70024i −0.486413 + 0.280831i
\(413\) −2.12529 18.0862i −0.104579 0.889962i
\(414\) −1.48606 5.54607i −0.0730361 0.272574i
\(415\) 11.0042 + 6.35326i 0.540173 + 0.311869i
\(416\) 21.6539 7.72509i 1.06167 0.378754i
\(417\) −8.51736 14.7525i −0.417097 0.722433i
\(418\) 0.895410 + 0.239924i 0.0437959 + 0.0117351i
\(419\) −21.4435 12.3804i −1.04758 0.604823i −0.125612 0.992079i \(-0.540089\pi\)
−0.921972 + 0.387257i \(0.873423\pi\)
\(420\) 4.64985 10.7979i 0.226889 0.526883i
\(421\) −4.11077 4.11077i −0.200347 0.200347i 0.599802 0.800149i \(-0.295246\pi\)
−0.800149 + 0.599802i \(0.795246\pi\)
\(422\) −19.7757 19.7757i −0.962665 0.962665i
\(423\) 36.3653 9.74407i 1.76814 0.473773i
\(424\) 1.14822 + 0.307666i 0.0557627 + 0.0149416i
\(425\) 1.02875i 0.0499015i
\(426\) −8.55379 + 14.8156i −0.414432 + 0.717818i
\(427\) 20.3884 + 2.97360i 0.986666 + 0.143903i
\(428\) 3.50738i 0.169536i
\(429\) 1.08425 + 0.921658i 0.0523480 + 0.0444981i
\(430\) 17.0815 9.86201i 0.823744 0.475589i
\(431\) −13.6699 13.6699i −0.658458 0.658458i 0.296557 0.955015i \(-0.404161\pi\)
−0.955015 + 0.296557i \(0.904161\pi\)
\(432\) −44.7064 + 25.8113i −2.15094 + 1.24185i
\(433\) −1.10640 1.91634i −0.0531702 0.0920934i 0.838215 0.545339i \(-0.183599\pi\)
−0.891385 + 0.453246i \(0.850266\pi\)
\(434\) 27.0246 + 21.3412i 1.29722 + 1.02441i
\(435\) 8.17807 30.5210i 0.392108 1.46337i
\(436\) −8.54307 + 8.54307i −0.409139 + 0.409139i
\(437\) −0.505391 + 1.88614i −0.0241761 + 0.0902265i
\(438\) 0.342961 0.594025i 0.0163873 0.0283836i
\(439\) 3.67134 + 6.35896i 0.175224 + 0.303496i 0.940239 0.340516i \(-0.110602\pi\)
−0.765015 + 0.644013i \(0.777268\pi\)
\(440\) −0.175796 + 0.0471044i −0.00838075 + 0.00224562i
\(441\) 43.0997 + 12.8452i 2.05237 + 0.611676i
\(442\) −1.36525 1.16052i −0.0649383 0.0552003i
\(443\) −13.2926 + 23.0235i −0.631552 + 1.09388i 0.355683 + 0.934607i \(0.384248\pi\)
−0.987235 + 0.159273i \(0.949085\pi\)
\(444\) 11.2573 11.2573i 0.534246 0.534246i
\(445\) −4.71457 −0.223492
\(446\) −25.2086 −1.19366
\(447\) 0.935490 0.935490i 0.0442472 0.0442472i
\(448\) 4.61708 + 0.673390i 0.218137 + 0.0318147i
\(449\) −21.6019 5.78821i −1.01946 0.273163i −0.289881 0.957063i \(-0.593616\pi\)
−0.729576 + 0.683900i \(0.760282\pi\)
\(450\) 11.3593 + 42.3935i 0.535483 + 1.99845i
\(451\) −0.995856 0.574958i −0.0468930 0.0270737i
\(452\) 4.51043i 0.212153i
\(453\) 2.81886 10.5201i 0.132442 0.494279i
\(454\) 21.6995 1.01841
\(455\) −10.4135 + 2.08764i −0.488192 + 0.0978702i
\(456\) 15.4939 0.725570
\(457\) 0.585332 2.18449i 0.0273807 0.102186i −0.950883 0.309550i \(-0.899822\pi\)
0.978264 + 0.207364i \(0.0664883\pi\)
\(458\) 44.6328i 2.08555i
\(459\) 2.49092 + 1.43813i 0.116266 + 0.0671263i
\(460\) 0.184296 + 0.687804i 0.00859287 + 0.0320690i
\(461\) 3.60574 + 0.966154i 0.167936 + 0.0449983i 0.341807 0.939770i \(-0.388961\pi\)
−0.173871 + 0.984768i \(0.555628\pi\)
\(462\) 0.701455 + 1.76249i 0.0326346 + 0.0819986i
\(463\) −15.5412 + 15.5412i −0.722262 + 0.722262i −0.969066 0.246804i \(-0.920620\pi\)
0.246804 + 0.969066i \(0.420620\pi\)
\(464\) 45.3907 2.10721
\(465\) 24.4882 1.13561
\(466\) −22.8301 + 22.8301i −1.05759 + 1.05759i
\(467\) 2.73553 4.73808i 0.126585 0.219252i −0.795766 0.605604i \(-0.792932\pi\)
0.922351 + 0.386352i \(0.126265\pi\)
\(468\) −27.2121 12.9014i −1.25788 0.596369i
\(469\) −2.59539 + 1.93469i −0.119844 + 0.0893356i
\(470\) −11.4479 + 3.06745i −0.528052 + 0.141491i
\(471\) 5.75897 + 9.97483i 0.265359 + 0.459616i
\(472\) 4.37590 7.57928i 0.201417 0.348865i
\(473\) −0.324497 + 1.21104i −0.0149204 + 0.0556837i
\(474\) −45.1715 + 45.1715i −2.07480 + 2.07480i
\(475\) 3.86315 14.4175i 0.177253 0.661519i
\(476\) −0.347956 0.874283i −0.0159485 0.0400727i
\(477\) −3.00321 5.20171i −0.137508 0.238170i
\(478\) 37.9520 21.9116i 1.73588 1.00221i
\(479\) −1.12124 1.12124i −0.0512305 0.0512305i 0.681027 0.732258i \(-0.261533\pi\)
−0.732258 + 0.681027i \(0.761533\pi\)
\(480\) 18.8745 10.8972i 0.861499 0.497387i
\(481\) −14.1473 2.58784i −0.645063 0.117995i
\(482\) 18.8489i 0.858542i
\(483\) −3.71262 + 1.47759i −0.168930 + 0.0672325i
\(484\) 7.13958 12.3661i 0.324527 0.562096i
\(485\) 2.75891i 0.125276i
\(486\) 14.6997 + 3.93878i 0.666793 + 0.178667i
\(487\) −7.61733 + 2.04106i −0.345174 + 0.0924891i −0.427241 0.904138i \(-0.640514\pi\)
0.0820672 + 0.996627i \(0.473848\pi\)
\(488\) 7.00185 + 7.00185i 0.316959 + 0.316959i
\(489\) 14.6162 + 14.6162i 0.660967 + 0.660967i
\(490\) −13.5679 4.04370i −0.612934 0.182676i
\(491\) 7.46842 + 4.31189i 0.337045 + 0.194593i 0.658965 0.752174i \(-0.270995\pi\)
−0.321919 + 0.946767i \(0.604328\pi\)
\(492\) 34.4823 + 9.23950i 1.55458 + 0.416549i
\(493\) −1.26452 2.19022i −0.0569512 0.0986424i
\(494\) 14.7754 + 21.3910i 0.664779 + 0.962428i
\(495\) 0.796396 + 0.459800i 0.0357953 + 0.0206665i
\(496\) 9.10470 + 33.9792i 0.408813 + 1.52571i
\(497\) 7.45423 + 3.20998i 0.334368 + 0.143987i
\(498\) 55.1214 31.8244i 2.47005 1.42608i
\(499\) −15.3177 + 4.10435i −0.685712 + 0.183736i −0.584822 0.811161i \(-0.698836\pi\)
−0.100890 + 0.994898i \(0.532169\pi\)
\(500\) −3.28184 12.2480i −0.146768 0.547747i
\(501\) 9.34158 + 34.8633i 0.417351 + 1.55758i
\(502\) 16.0099 4.28983i 0.714556 0.191465i
\(503\) −21.6152 + 12.4795i −0.963773 + 0.556435i −0.897332 0.441356i \(-0.854498\pi\)
−0.0664408 + 0.997790i \(0.521164\pi\)
\(504\) 12.9174 + 17.3288i 0.575388 + 0.771884i
\(505\) 0.486534 + 1.81577i 0.0216505 + 0.0808007i
\(506\) −0.0995013 0.0574471i −0.00442337 0.00255384i
\(507\) 6.42760 + 39.3886i 0.285460 + 1.74931i
\(508\) 1.13570 + 1.96709i 0.0503884 + 0.0872753i
\(509\) −5.00875 1.34209i −0.222009 0.0594872i 0.146100 0.989270i \(-0.453328\pi\)
−0.368109 + 0.929783i \(0.619995\pi\)
\(510\) −1.47105 0.849308i −0.0651390 0.0376080i
\(511\) −0.298874 0.128703i −0.0132214 0.00569348i
\(512\) 13.3091 + 13.3091i 0.588184 + 0.588184i
\(513\) −29.5088 29.5088i −1.30285 1.30285i
\(514\) −53.8974 + 14.4418i −2.37731 + 0.636999i
\(515\) 9.43051 + 2.52690i 0.415558 + 0.111348i
\(516\) 38.9225i 1.71347i
\(517\) 0.376678 0.652426i 0.0165663 0.0286937i
\(518\) −15.0459 11.8817i −0.661079 0.522050i
\(519\) 49.5514i 2.17506i
\(520\) −4.61208 2.18662i −0.202253 0.0958896i
\(521\) −12.8926 + 7.44352i −0.564833 + 0.326107i −0.755083 0.655629i \(-0.772404\pi\)
0.190250 + 0.981736i \(0.439070\pi\)
\(522\) −76.2938 76.2938i −3.33929 3.33929i
\(523\) −15.9255 + 9.19458i −0.696372 + 0.402051i −0.805995 0.591923i \(-0.798369\pi\)
0.109623 + 0.993973i \(0.465036\pi\)
\(524\) 3.86512 + 6.69459i 0.168849 + 0.292455i
\(525\) 28.3789 11.2945i 1.23855 0.492932i
\(526\) 2.60794 9.73298i 0.113712 0.424378i
\(527\) 1.38594 1.38594i 0.0603725 0.0603725i
\(528\) −0.501558 + 1.87184i −0.0218275 + 0.0814613i
\(529\) −11.3790 + 19.7090i −0.494739 + 0.856913i
\(530\) 0.945417 + 1.63751i 0.0410663 + 0.0711289i
\(531\) −42.7144 + 11.4453i −1.85365 + 0.496683i
\(532\) 1.59335 + 13.5594i 0.0690807 + 0.587873i
\(533\) −10.8363 30.3747i −0.469371 1.31567i
\(534\) −11.8080 + 20.4520i −0.510982 + 0.885046i
\(535\) −2.12391 + 2.12391i −0.0918248 + 0.0918248i
\(536\) −1.55573 −0.0671973
\(537\) −28.2308 −1.21825
\(538\) 7.00181 7.00181i 0.301869 0.301869i
\(539\) 0.791593 0.428086i 0.0340963 0.0184390i
\(540\) −14.6994 3.93870i −0.632562 0.169494i
\(541\) −6.71321 25.0540i −0.288623 1.07716i −0.946151 0.323726i \(-0.895064\pi\)
0.657527 0.753431i \(-0.271602\pi\)
\(542\) −16.8252 9.71404i −0.722704 0.417254i
\(543\) 44.9727i 1.92996i
\(544\) 0.451484 1.68496i 0.0193572 0.0722422i
\(545\) 10.3466 0.443200
\(546\) −17.0250 + 50.4028i −0.728604 + 2.15704i
\(547\) −32.7020 −1.39824 −0.699119 0.715006i \(-0.746424\pi\)
−0.699119 + 0.715006i \(0.746424\pi\)
\(548\) −6.60923 + 24.6660i −0.282332 + 1.05368i
\(549\) 50.0335i 2.13538i
\(550\) 0.760577 + 0.439119i 0.0324311 + 0.0187241i
\(551\) 9.49708 + 35.4436i 0.404589 + 1.50995i
\(552\) −1.85492 0.497025i −0.0789508 0.0211548i
\(553\) 23.7844 + 18.7824i 1.01141 + 0.798708i
\(554\) 31.5367 31.5367i 1.33987 1.33987i
\(555\) −13.6338 −0.578722
\(556\) 7.21380 0.305933
\(557\) 6.56455 6.56455i 0.278149 0.278149i −0.554221 0.832370i \(-0.686984\pi\)
0.832370 + 0.554221i \(0.186984\pi\)
\(558\) 41.8097 72.4165i 1.76994 3.06563i
\(559\) −28.9313 + 19.9838i −1.22366 + 0.845223i
\(560\) −8.64389 11.5958i −0.365271 0.490012i
\(561\) 0.104294 0.0279454i 0.00440328 0.00117986i
\(562\) −11.1361 19.2883i −0.469749 0.813628i
\(563\) −17.3494 + 30.0500i −0.731189 + 1.26646i 0.225186 + 0.974316i \(0.427701\pi\)
−0.956375 + 0.292141i \(0.905632\pi\)
\(564\) −6.05317 + 22.5907i −0.254884 + 0.951242i
\(565\) 2.73132 2.73132i 0.114907 0.114907i
\(566\) 1.33313 4.97531i 0.0560357 0.209128i
\(567\) 4.96502 34.0425i 0.208511 1.42965i
\(568\) 1.95023 + 3.37789i 0.0818297 + 0.141733i
\(569\) −24.9820 + 14.4234i −1.04730 + 0.604659i −0.921892 0.387446i \(-0.873357\pi\)
−0.125408 + 0.992105i \(0.540024\pi\)
\(570\) 17.4268 + 17.4268i 0.729928 + 0.729928i
\(571\) 21.3819 12.3448i 0.894804 0.516615i 0.0192930 0.999814i \(-0.493858\pi\)
0.875511 + 0.483199i \(0.160525\pi\)
\(572\) −0.567586 + 0.202488i −0.0237320 + 0.00846647i
\(573\) 18.5200i 0.773686i
\(574\) 6.20430 42.5396i 0.258962 1.77557i
\(575\) −0.924987 + 1.60212i −0.0385746 + 0.0668132i
\(576\) 11.3304i 0.472099i
\(577\) −3.59432 0.963094i −0.149633 0.0400941i 0.183225 0.983071i \(-0.441346\pi\)
−0.332858 + 0.942977i \(0.608013\pi\)
\(578\) 29.6987 7.95774i 1.23530 0.330998i
\(579\) 0.892350 + 0.892350i 0.0370848 + 0.0370848i
\(580\) 9.46168 + 9.46168i 0.392875 + 0.392875i
\(581\) −18.0465 24.2094i −0.748696 1.00438i
\(582\) −11.9683 6.90988i −0.496101 0.286424i
\(583\) −0.116096 0.0311078i −0.00480819 0.00128835i
\(584\) −0.0781935 0.135435i −0.00323567 0.00560435i
\(585\) 8.66587 + 24.2909i 0.358290 + 1.00431i
\(586\) 31.0812 + 17.9447i 1.28395 + 0.741290i
\(587\) −4.43305 16.5444i −0.182972 0.682859i −0.995056 0.0993189i \(-0.968334\pi\)
0.812084 0.583540i \(-0.198333\pi\)
\(588\) −20.2977 + 19.1973i −0.837062 + 0.791685i
\(589\) −24.6279 + 14.2189i −1.01477 + 0.585880i
\(590\) 13.4466 3.60300i 0.553587 0.148333i
\(591\) 15.6116 + 58.2633i 0.642175 + 2.39663i
\(592\) −5.06903 18.9179i −0.208336 0.777520i
\(593\) −19.7983 + 5.30494i −0.813019 + 0.217848i −0.641292 0.767297i \(-0.721601\pi\)
−0.171727 + 0.985145i \(0.554935\pi\)
\(594\) 2.12649 1.22773i 0.0872511 0.0503745i
\(595\) −0.318720 + 0.740133i −0.0130662 + 0.0303425i
\(596\) 0.145004 + 0.541161i 0.00593958 + 0.0221668i
\(597\) 46.3195 + 26.7426i 1.89573 + 1.09450i
\(598\) −1.08271 3.03489i −0.0442753 0.124106i
\(599\) 19.5672 + 33.8914i 0.799494 + 1.38476i 0.919946 + 0.392045i \(0.128232\pi\)
−0.120452 + 0.992719i \(0.538434\pi\)
\(600\) 14.1788 + 3.79920i 0.578848 + 0.155102i
\(601\) 29.2750 + 16.9020i 1.19415 + 0.689445i 0.959246 0.282573i \(-0.0911878\pi\)
0.234908 + 0.972018i \(0.424521\pi\)
\(602\) −46.5516 + 5.47026i −1.89730 + 0.222951i
\(603\) 5.55843 + 5.55843i 0.226357 + 0.226357i
\(604\) 3.26130 + 3.26130i 0.132701 + 0.132701i
\(605\) −11.8118 + 3.16496i −0.480217 + 0.128674i
\(606\) 9.09545 + 2.43712i 0.369478 + 0.0990012i
\(607\) 28.9227i 1.17394i −0.809610 0.586968i \(-0.800322\pi\)
0.809610 0.586968i \(-0.199678\pi\)
\(608\) −12.6548 + 21.9187i −0.513218 + 0.888920i
\(609\) −46.5360 + 58.9291i −1.88573 + 2.38793i
\(610\) 15.7506i 0.637725i
\(611\) 19.8997 7.09928i 0.805055 0.287206i
\(612\) −1.97887 + 1.14250i −0.0799910 + 0.0461829i
\(613\) −12.9884 12.9884i −0.524598 0.524598i 0.394359 0.918957i \(-0.370967\pi\)
−0.918957 + 0.394359i \(0.870967\pi\)
\(614\) 15.5362 8.96983i 0.626990 0.361993i
\(615\) −15.2859 26.4759i −0.616387 1.06761i
\(616\) 0.427969 + 0.0624182i 0.0172434 + 0.00251490i
\(617\) −3.13670 + 11.7063i −0.126279 + 0.471279i −0.999882 0.0153601i \(-0.995111\pi\)
0.873603 + 0.486639i \(0.161777\pi\)
\(618\) 34.5812 34.5812i 1.39106 1.39106i
\(619\) 6.26859 23.3947i 0.251956 0.940312i −0.717803 0.696246i \(-0.754852\pi\)
0.969759 0.244065i \(-0.0784811\pi\)
\(620\) −5.18509 + 8.98083i −0.208238 + 0.360679i
\(621\) 2.58617 + 4.47937i 0.103779 + 0.179751i
\(622\) −46.4247 + 12.4395i −1.86146 + 0.498777i
\(623\) 10.2901 + 4.43118i 0.412265 + 0.177532i
\(624\) −44.7176 + 30.8878i −1.79014 + 1.23650i
\(625\) 3.97162 6.87905i 0.158865 0.275162i
\(626\) 15.1842 15.1842i 0.606884 0.606884i
\(627\) −1.56658 −0.0625630
\(628\) −4.87757 −0.194636
\(629\) −0.771620 + 0.771620i −0.0307665 + 0.0307665i
\(630\) −4.96164 + 34.0194i −0.197676 + 1.35536i
\(631\) −7.36652 1.97385i −0.293256 0.0785778i 0.109191 0.994021i \(-0.465174\pi\)
−0.402448 + 0.915443i \(0.631841\pi\)
\(632\) 3.76966 + 14.0686i 0.149949 + 0.559618i
\(633\) 40.9308 + 23.6314i 1.62685 + 0.939265i
\(634\) 6.63565i 0.263535i
\(635\) 0.503451 1.87891i 0.0199789 0.0745621i
\(636\) 3.73129 0.147955
\(637\) 24.6908 + 5.23101i 0.978286 + 0.207260i
\(638\) −2.15904 −0.0854772
\(639\) 5.10087 19.0367i 0.201787 0.753081i
\(640\) 10.6316i 0.420251i
\(641\) 22.9611 + 13.2566i 0.906908 + 0.523603i 0.879435 0.476019i \(-0.157921\pi\)
0.0274727 + 0.999623i \(0.491254\pi\)
\(642\) 3.89414 + 14.5331i 0.153689 + 0.573577i
\(643\) −11.1885 2.99795i −0.441231 0.118228i 0.0313623 0.999508i \(-0.490015\pi\)
−0.472593 + 0.881281i \(0.656682\pi\)
\(644\) 0.244212 1.67443i 0.00962328 0.0659818i
\(645\) −23.5697 + 23.5697i −0.928057 + 0.928057i
\(646\) 1.97258 0.0776101
\(647\) 38.5934 1.51726 0.758631 0.651521i \(-0.225869\pi\)
0.758631 + 0.651521i \(0.225869\pi\)
\(648\) 11.6910 11.6910i 0.459264 0.459264i
\(649\) −0.442443 + 0.766333i −0.0173674 + 0.0300812i
\(650\) 8.27611 + 23.1984i 0.324616 + 0.909916i
\(651\) −53.4484 23.0163i −2.09481 0.902078i
\(652\) −8.45516 + 2.26555i −0.331129 + 0.0887259i
\(653\) −13.0162 22.5446i −0.509361 0.882240i −0.999941 0.0108435i \(-0.996548\pi\)
0.490580 0.871396i \(-0.336785\pi\)
\(654\) 25.9138 44.8840i 1.01331 1.75510i
\(655\) 1.71340 6.39449i 0.0669480 0.249853i
\(656\) 31.0540 31.0540i 1.21246 1.21246i
\(657\) −0.204517 + 0.763269i −0.00797898 + 0.0297780i
\(658\) 27.8694 + 4.06469i 1.08646 + 0.158458i
\(659\) 24.8221 + 42.9932i 0.966933 + 1.67478i 0.704328 + 0.709874i \(0.251248\pi\)
0.262605 + 0.964903i \(0.415418\pi\)
\(660\) −0.494734 + 0.285635i −0.0192575 + 0.0111183i
\(661\) −8.57180 8.57180i −0.333404 0.333404i 0.520474 0.853878i \(-0.325755\pi\)
−0.853878 + 0.520474i \(0.825755\pi\)
\(662\) 13.5501 7.82313i 0.526638 0.304055i
\(663\) 2.73619 + 1.29725i 0.106265 + 0.0503808i
\(664\) 14.5116i 0.563161i
\(665\) 7.24608 9.17581i 0.280991 0.355823i
\(666\) −23.2775 + 40.3178i −0.901984 + 1.56228i
\(667\) 4.54793i 0.176097i
\(668\) −14.7638 3.95594i −0.571227 0.153060i
\(669\) 41.1496 11.0260i 1.59094 0.426290i
\(670\) −1.74981 1.74981i −0.0676009 0.0676009i
\(671\) −0.707950 0.707950i −0.0273301 0.0273301i
\(672\) −51.4380 + 6.04445i −1.98426 + 0.233170i
\(673\) 34.6870 + 20.0265i 1.33708 + 0.771966i 0.986374 0.164519i \(-0.0526070\pi\)
0.350710 + 0.936484i \(0.385940\pi\)
\(674\) 46.2236 + 12.3856i 1.78047 + 0.477075i
\(675\) −19.7684 34.2398i −0.760885 1.31789i
\(676\) −15.8064 5.98281i −0.607938 0.230108i
\(677\) 33.3532 + 19.2565i 1.28187 + 0.740086i 0.977190 0.212369i \(-0.0681179\pi\)
0.304678 + 0.952455i \(0.401451\pi\)
\(678\) −5.00780 18.6894i −0.192323 0.717760i
\(679\) −2.59307 + 6.02164i −0.0995129 + 0.231089i
\(680\) −0.335392 + 0.193639i −0.0128617 + 0.00742570i
\(681\) −35.4215 + 9.49116i −1.35735 + 0.363702i
\(682\) −0.433072 1.61625i −0.0165832 0.0618892i
\(683\) −9.87146 36.8408i −0.377721 1.40967i −0.849328 0.527865i \(-0.822993\pi\)
0.471607 0.881809i \(-0.343674\pi\)
\(684\) 32.0234 8.58064i 1.22445 0.328089i
\(685\) 18.9389 10.9344i 0.723617 0.417780i
\(686\) 25.8129 + 21.5782i 0.985539 + 0.823858i
\(687\) −19.5220 72.8571i −0.744810 2.77967i
\(688\) −41.4679 23.9415i −1.58095 0.912761i
\(689\) −1.91573 2.77349i −0.0729836 0.105661i
\(690\) −1.52729 2.64535i −0.0581431 0.100707i
\(691\) 5.69382 + 1.52565i 0.216603 + 0.0580386i 0.365489 0.930816i \(-0.380902\pi\)
−0.148886 + 0.988854i \(0.547569\pi\)
\(692\) 18.1725 + 10.4919i 0.690816 + 0.398843i
\(693\) −1.30607 1.75209i −0.0496134 0.0665565i
\(694\) 6.71396 + 6.71396i 0.254858 + 0.254858i
\(695\) −4.36835 4.36835i −0.165701 0.165701i
\(696\) −34.8569 + 9.33987i −1.32125 + 0.354027i
\(697\) −2.36356 0.633314i −0.0895262 0.0239885i
\(698\) 21.0770i 0.797776i
\(699\) 27.2814 47.2528i 1.03188 1.78727i
\(700\) −1.86673 + 12.7992i −0.0705556 + 0.483763i
\(701\) 39.7256i 1.50041i −0.661203 0.750207i \(-0.729954\pi\)
0.661203 0.750207i \(-0.270046\pi\)
\(702\) 67.7403 + 12.3911i 2.55669 + 0.467671i
\(703\) 13.7115 7.91636i 0.517140 0.298571i
\(704\) −0.160319 0.160319i −0.00604226 0.00604226i
\(705\) 17.3455 10.0144i 0.653268 0.377164i
\(706\) −7.84109 13.5812i −0.295103 0.511134i
\(707\) 0.644707 4.42042i 0.0242467 0.166247i
\(708\) 7.11000 26.5349i 0.267210 0.997241i
\(709\) 0.300391 0.300391i 0.0112814 0.0112814i −0.701444 0.712725i \(-0.747461\pi\)
0.712725 + 0.701444i \(0.247461\pi\)
\(710\) −1.60577 + 5.99280i −0.0602633 + 0.224906i
\(711\) 36.7967 63.7338i 1.37999 2.39020i
\(712\) 2.69217 + 4.66298i 0.100893 + 0.174752i
\(713\) 3.40455 0.912248i 0.127502 0.0341639i
\(714\) 2.41247 + 3.23634i 0.0902845 + 0.121117i
\(715\) 0.466323 + 0.221087i 0.0174395 + 0.00826818i
\(716\) 5.97753 10.3534i 0.223391 0.386924i
\(717\) −52.3676 + 52.3676i −1.95570 + 1.95570i
\(718\) −56.4037 −2.10497
\(719\) −5.50107 −0.205155 −0.102578 0.994725i \(-0.532709\pi\)
−0.102578 + 0.994725i \(0.532709\pi\)
\(720\) −24.8342 + 24.8342i −0.925516 + 0.925516i
\(721\) −18.2082 14.3789i −0.678109 0.535498i
\(722\) 5.69451 + 1.52584i 0.211928 + 0.0567859i
\(723\) 8.24432 + 30.7682i 0.306610 + 1.14428i
\(724\) 16.4933 + 9.52242i 0.612969 + 0.353898i
\(725\) 34.7639i 1.29110i
\(726\) −15.8537 + 59.1669i −0.588387 + 2.19589i
\(727\) −10.8373 −0.401935 −0.200967 0.979598i \(-0.564409\pi\)
−0.200967 + 0.979598i \(0.564409\pi\)
\(728\) 8.01123 + 9.10741i 0.296916 + 0.337543i
\(729\) 13.2908 0.492253
\(730\) 0.0643825 0.240279i 0.00238290 0.00889312i
\(731\) 2.66791i 0.0986762i
\(732\) 26.9175 + 15.5408i 0.994898 + 0.574405i
\(733\) 7.78294 + 29.0463i 0.287469 + 1.07285i 0.947016 + 0.321187i \(0.104082\pi\)
−0.659547 + 0.751664i \(0.729252\pi\)
\(734\) 4.59604 + 1.23150i 0.169643 + 0.0454557i
\(735\) 23.9164 + 0.666325i 0.882170 + 0.0245778i
\(736\) 2.21814 2.21814i 0.0817617 0.0817617i
\(737\) 0.157298 0.00579416
\(738\) −104.393 −3.84275
\(739\) 32.1610 32.1610i 1.18306 1.18306i 0.204113 0.978947i \(-0.434569\pi\)
0.978947 0.204113i \(-0.0654310\pi\)
\(740\) 2.88679 5.00007i 0.106121 0.183806i
\(741\) −33.4752 28.4553i −1.22974 1.04533i
\(742\) −0.524403 4.46265i −0.0192515 0.163829i
\(743\) −43.4013 + 11.6293i −1.59224 + 0.426639i −0.942687 0.333678i \(-0.891710\pi\)
−0.649552 + 0.760317i \(0.725044\pi\)
\(744\) −13.9836 24.2202i −0.512662 0.887956i
\(745\) 0.239895 0.415511i 0.00878908 0.0152231i
\(746\) 16.8492 62.8822i 0.616894 2.30228i
\(747\) −51.8483 + 51.8483i −1.89703 + 1.89703i
\(748\) −0.0118342 + 0.0441659i −0.000432702 + 0.00161486i
\(749\) 6.63194 2.63944i 0.242326 0.0964432i
\(750\) 27.1972 + 47.1069i 0.993100 + 1.72010i
\(751\) −14.5396 + 8.39446i −0.530559 + 0.306318i −0.741244 0.671236i \(-0.765764\pi\)
0.210685 + 0.977554i \(0.432430\pi\)
\(752\) 20.3447 + 20.3447i 0.741897 + 0.741897i
\(753\) −24.2576 + 14.0052i −0.883997 + 0.510376i
\(754\) −46.1352 39.2169i −1.68014 1.42819i
\(755\) 3.94980i 0.143748i
\(756\) 28.3813 + 22.4125i 1.03222 + 0.815135i
\(757\) 7.76400 13.4476i 0.282187 0.488763i −0.689736 0.724061i \(-0.742273\pi\)
0.971923 + 0.235298i \(0.0756067\pi\)
\(758\) 41.8755i 1.52099i
\(759\) 0.187549 + 0.0502537i 0.00680761 + 0.00182409i
\(760\) 5.42754 1.45431i 0.196878 0.0527532i
\(761\) −28.3360 28.3360i −1.02718 1.02718i −0.999620 0.0275603i \(-0.991226\pi\)
−0.0275603 0.999620i \(-0.508774\pi\)
\(762\) −6.88985 6.88985i −0.249593 0.249593i
\(763\) −22.5827 9.72467i −0.817547 0.352057i
\(764\) −6.79206 3.92140i −0.245728 0.141871i
\(765\) 1.89016 + 0.506467i 0.0683389 + 0.0183114i
\(766\) 11.8520 + 20.5283i 0.428230 + 0.741716i
\(767\) −23.3740 + 8.33875i −0.843985 + 0.301095i
\(768\) −55.4978 32.0417i −2.00260 1.15620i
\(769\) 12.5630 + 46.8857i 0.453033 + 1.69074i 0.693807 + 0.720161i \(0.255932\pi\)
−0.240774 + 0.970581i \(0.577401\pi\)
\(770\) 0.411153 + 0.551562i 0.0148169 + 0.0198769i
\(771\) 81.6636 47.1485i 2.94104 1.69801i
\(772\) −0.516206 + 0.138317i −0.0185786 + 0.00497813i
\(773\) −12.1817 45.4628i −0.438146 1.63518i −0.733424 0.679772i \(-0.762079\pi\)
0.295278 0.955411i \(-0.404588\pi\)