Properties

Label 91.2.ba.a.59.6
Level $91$
Weight $2$
Character 91.59
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.ba (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 59.6
Character \(\chi\) \(=\) 91.59
Dual form 91.2.ba.a.54.6

$q$-expansion

\(f(q)\) \(=\) \(q+(1.28453 + 1.28453i) q^{2} +(-2.65867 + 1.53499i) q^{3} +1.30006i q^{4} +(1.07541 + 0.288156i) q^{5} +(-5.38690 - 1.44342i) q^{6} +(-0.978346 + 2.45822i) q^{7} +(0.899098 - 0.899098i) q^{8} +(3.21237 - 5.56398i) q^{9} +O(q^{10})\) \(q+(1.28453 + 1.28453i) q^{2} +(-2.65867 + 1.53499i) q^{3} +1.30006i q^{4} +(1.07541 + 0.288156i) q^{5} +(-5.38690 - 1.44342i) q^{6} +(-0.978346 + 2.45822i) q^{7} +(0.899098 - 0.899098i) q^{8} +(3.21237 - 5.56398i) q^{9} +(1.01126 + 1.75155i) q^{10} +(0.124181 + 0.0332742i) 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} +4.90996 q^{16} -0.273570 q^{17} +(11.2735 - 3.02073i) q^{18} +(-1.02731 - 3.83397i) q^{19} +(-0.374620 + 1.39810i) q^{20} +(-1.17223 - 8.03735i) q^{21} +(0.116773 + 0.202257i) q^{22} -0.491955i q^{23} +(-1.01031 + 3.77051i) q^{24} +(-3.25665 - 1.88023i) q^{25} +(4.99050 + 4.24214i) q^{26} +10.5138i q^{27} +(-3.19583 - 1.27191i) q^{28} +(-4.62230 + 8.00606i) q^{29} +(-5.37722 - 3.10454i) q^{30} +(-1.85433 - 6.92046i) q^{31} +(4.50882 + 4.50882i) q^{32} +(-0.381233 + 0.102151i) q^{33} +(-0.351410 - 0.351410i) q^{34} +(-1.76048 + 2.36169i) q^{35} +(7.23351 + 4.17627i) q^{36} +(-2.82056 + 2.82056i) q^{37} +(3.60526 - 6.24449i) q^{38} +(-9.10751 + 6.29084i) q^{39} +(1.22598 - 0.707822i) q^{40} +(-2.31500 - 8.63969i) q^{41} +(8.81849 - 11.8300i) q^{42} +(8.44566 - 4.87610i) q^{43} +(-0.0432585 + 0.161443i) q^{44} +(5.05792 - 5.05792i) q^{45} +(0.631934 - 0.631934i) q^{46} +(-1.51665 + 5.66021i) q^{47} +(-13.0540 + 7.53673i) q^{48} +(-5.08568 - 4.80998i) q^{49} +(-1.76806 - 6.59849i) q^{50} +(0.727333 - 0.419926i) q^{51} +(0.378703 + 4.67211i) q^{52} +(0.467445 - 0.809639i) q^{53} +(-13.5054 + 13.5054i) q^{54} +(0.123958 + 0.0715671i) q^{55} +(1.33055 + 3.08981i) q^{56} +(8.61638 + 8.61638i) q^{57} +(-16.2216 + 4.34656i) q^{58} +(4.86699 + 4.86699i) q^{59} +(-1.15007 - 4.29214i) q^{60} +(6.74429 + 3.89382i) q^{61} +(6.50761 - 11.2715i) q^{62} +(10.5347 + 13.3402i) q^{63} +1.76356i q^{64} +(3.94872 + 0.722302i) q^{65} +(-0.620923 - 0.358490i) q^{66} +(-0.316671 + 1.18183i) q^{67} -0.355657i q^{68} +(0.755145 + 1.30795i) q^{69} +(-5.29506 + 0.772272i) q^{70} +(-0.793943 + 2.96304i) q^{71} +(-2.11433 - 7.89080i) q^{72} +(0.118802 - 0.0318328i) q^{73} -7.24621 q^{74} +11.5445 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} +(5.28024 + 1.41484i) q^{80} +(-6.50149 - 11.2609i) q^{81} +(8.12429 - 14.0717i) q^{82} +(-8.07011 + 8.07011i) q^{83} +(10.4490 - 1.52397i) q^{84} +(-0.294201 - 0.0788309i) q^{85} +(17.1123 + 4.58522i) q^{86} -28.3807i q^{87} +(0.141568 - 0.0817342i) q^{88} +(2.99430 + 2.99430i) q^{89} +12.9941 q^{90} +(-2.79988 + 9.11925i) q^{91} +0.639571 q^{92} +(15.5529 + 15.5529i) q^{93} +(-9.21893 + 5.32255i) q^{94} -4.41913i q^{95} +(-18.9085 - 5.06651i) q^{96} +(2.39359 + 0.641359i) q^{97} +(-0.354145 - 12.7113i) q^{98} +(0.584052 - 0.584052i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.28453 + 1.28453i 0.908303 + 0.908303i 0.996135 0.0878320i \(-0.0279939\pi\)
−0.0878320 + 0.996135i \(0.527994\pi\)
\(3\) −2.65867 + 1.53499i −1.53499 + 0.886225i −0.535865 + 0.844303i \(0.680015\pi\)
−0.999121 + 0.0419214i \(0.986652\pi\)
\(4\) 1.30006i 0.650030i
\(5\) 1.07541 + 0.288156i 0.480940 + 0.128867i 0.491140 0.871081i \(-0.336580\pi\)
−0.0102004 + 0.999948i \(0.503247\pi\)
\(6\) −5.38690 1.44342i −2.19919 0.589272i
\(7\) −0.978346 + 2.45822i −0.369780 + 0.929119i
\(8\) 0.899098 0.899098i 0.317879 0.317879i
\(9\) 3.21237 5.56398i 1.07079 1.85466i
\(10\) 1.01126 + 1.75155i 0.319788 + 0.553890i
\(11\) 0.124181 + 0.0332742i 0.0374420 + 0.0100326i 0.277491 0.960728i \(-0.410497\pi\)
−0.240049 + 0.970761i \(0.577164\pi\)
\(12\) −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
\(16\) 4.90996 1.22749
\(17\) −0.273570 −0.0663504 −0.0331752 0.999450i \(-0.510562\pi\)
−0.0331752 + 0.999450i \(0.510562\pi\)
\(18\) 11.2735 3.02073i 2.65720 0.711993i
\(19\) −1.02731 3.83397i −0.235681 0.879574i −0.977841 0.209351i \(-0.932865\pi\)
0.742159 0.670223i \(-0.233802\pi\)
\(20\) −0.374620 + 1.39810i −0.0837676 + 0.312625i
\(21\) −1.17223 8.03735i −0.255801 1.75389i
\(22\) 0.116773 + 0.202257i 0.0248961 + 0.0431213i
\(23\) 0.491955i 0.102580i −0.998684 0.0512899i \(-0.983667\pi\)
0.998684 0.0512899i \(-0.0163332\pi\)
\(24\) −1.01031 + 3.77051i −0.206228 + 0.769652i
\(25\) −3.25665 1.88023i −0.651329 0.376045i
\(26\) 4.99050 + 4.24214i 0.978717 + 0.831951i
\(27\) 10.5138i 2.02339i
\(28\) −3.19583 1.27191i −0.603955 0.240368i
\(29\) −4.62230 + 8.00606i −0.858340 + 1.48669i 0.0151718 + 0.999885i \(0.495170\pi\)
−0.873512 + 0.486803i \(0.838163\pi\)
\(30\) −5.37722 3.10454i −0.981742 0.566809i
\(31\) −1.85433 6.92046i −0.333048 1.24295i −0.905970 0.423341i \(-0.860857\pi\)
0.572923 0.819609i \(-0.305810\pi\)
\(32\) 4.50882 + 4.50882i 0.797055 + 0.797055i
\(33\) −0.381233 + 0.102151i −0.0663641 + 0.0177822i
\(34\) −0.351410 0.351410i −0.0602663 0.0602663i
\(35\) −1.76048 + 2.36169i −0.297575 + 0.399198i
\(36\) 7.23351 + 4.17627i 1.20558 + 0.696045i
\(37\) −2.82056 + 2.82056i −0.463697 + 0.463697i −0.899865 0.436168i \(-0.856335\pi\)
0.436168 + 0.899865i \(0.356335\pi\)
\(38\) 3.60526 6.24449i 0.584850 1.01299i
\(39\) −9.10751 + 6.29084i −1.45837 + 1.00734i
\(40\) 1.22598 0.707822i 0.193845 0.111916i
\(41\) −2.31500 8.63969i −0.361542 1.34929i −0.872049 0.489419i \(-0.837209\pi\)
0.510507 0.859874i \(-0.329458\pi\)
\(42\) 8.81849 11.8300i 1.36072 1.82541i
\(43\) 8.44566 4.87610i 1.28795 0.743599i 0.309662 0.950847i \(-0.399784\pi\)
0.978288 + 0.207248i \(0.0664506\pi\)
\(44\) −0.0432585 + 0.161443i −0.00652146 + 0.0243384i
\(45\) 5.05792 5.05792i 0.753990 0.753990i
\(46\) 0.631934 0.631934i 0.0931735 0.0931735i
\(47\) −1.51665 + 5.66021i −0.221226 + 0.825627i 0.762655 + 0.646805i \(0.223895\pi\)
−0.983881 + 0.178822i \(0.942771\pi\)
\(48\) −13.0540 + 7.53673i −1.88418 + 1.08783i
\(49\) −5.08568 4.80998i −0.726525 0.687140i
\(50\) −1.76806 6.59849i −0.250041 0.933167i
\(51\) 0.727333 0.419926i 0.101847 0.0588014i
\(52\) 0.378703 + 4.67211i 0.0525166 + 0.647905i
\(53\) 0.467445 0.809639i 0.0642086 0.111212i −0.832134 0.554574i \(-0.812881\pi\)
0.896343 + 0.443362i \(0.146214\pi\)
\(54\) −13.5054 + 13.5054i −1.83785 + 1.83785i
\(55\) 0.123958 + 0.0715671i 0.0167145 + 0.00965011i
\(56\) 1.33055 + 3.08981i 0.177802 + 0.412893i
\(57\) 8.61638 + 8.61638i 1.14127 + 1.14127i
\(58\) −16.2216 + 4.34656i −2.13000 + 0.570731i
\(59\) 4.86699 + 4.86699i 0.633628 + 0.633628i 0.948976 0.315348i \(-0.102121\pi\)
−0.315348 + 0.948976i \(0.602121\pi\)
\(60\) −1.15007 4.29214i −0.148474 0.554112i
\(61\) 6.74429 + 3.89382i 0.863518 + 0.498552i 0.865189 0.501446i \(-0.167199\pi\)
−0.00167083 + 0.999999i \(0.500532\pi\)
\(62\) 6.50761 11.2715i 0.826468 1.43148i
\(63\) 10.5347 + 13.3402i 1.32724 + 1.68071i
\(64\) 1.76356i 0.220444i
\(65\) 3.94872 + 0.722302i 0.489779 + 0.0895905i
\(66\) −0.620923 0.358490i −0.0764303 0.0441271i
\(67\) −0.316671 + 1.18183i −0.0386875 + 0.144384i −0.982568 0.185903i \(-0.940479\pi\)
0.943881 + 0.330287i \(0.107146\pi\)
\(68\) 0.355657i 0.0431298i
\(69\) 0.755145 + 1.30795i 0.0909087 + 0.157459i
\(70\) −5.29506 + 0.772272i −0.632881 + 0.0923041i
\(71\) −0.793943 + 2.96304i −0.0942237 + 0.351648i −0.996901 0.0786713i \(-0.974932\pi\)
0.902677 + 0.430319i \(0.141599\pi\)
\(72\) −2.11433 7.89080i −0.249176 0.929939i
\(73\) 0.118802 0.0318328i 0.0139047 0.00372575i −0.251860 0.967764i \(-0.581042\pi\)
0.265765 + 0.964038i \(0.414376\pi\)
\(74\) −7.24621 −0.842355
\(75\) 11.5445 1.33304
\(76\) 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 −0.984445 0.175694i \(-0.943783\pi\)
0.340067 0.940401i \(-0.389550\pi\)
\(80\) 5.28024 + 1.41484i 0.590349 + 0.158184i
\(81\) −6.50149 11.2609i −0.722388 1.25121i
\(82\) 8.12429 14.0717i 0.897178 1.55396i
\(83\) −8.07011 + 8.07011i −0.885810 + 0.885810i −0.994117 0.108308i \(-0.965457\pi\)
0.108308 + 0.994117i \(0.465457\pi\)
\(84\) 10.4490 1.52397i 1.14008 0.166278i
\(85\) −0.294201 0.0788309i −0.0319106 0.00855041i
\(86\) 17.1123 + 4.58522i 1.84526 + 0.494437i
\(87\) 28.3807i 3.04273i
\(88\) 0.141568 0.0817342i 0.0150912 0.00871289i
\(89\) 2.99430 + 2.99430i 0.317395 + 0.317395i 0.847766 0.530371i \(-0.177947\pi\)
−0.530371 + 0.847766i \(0.677947\pi\)
\(90\) 12.9941 1.36970
\(91\) −2.79988 + 9.11925i −0.293507 + 0.955957i
\(92\) 0.639571 0.0666799
\(93\) 15.5529 + 15.5529i 1.61276 + 1.61276i
\(94\) −9.21893 + 5.32255i −0.950860 + 0.548979i
\(95\) 4.41913i 0.453394i
\(96\) −18.9085 5.06651i −1.92984 0.517099i
\(97\) 2.39359 + 0.641359i 0.243032 + 0.0651202i 0.378279 0.925692i \(-0.376516\pi\)
−0.135247 + 0.990812i \(0.543183\pi\)
\(98\) −0.354145 12.7113i −0.0357740 1.28404i
\(99\) 0.584052 0.584052i 0.0586995 0.0586995i
\(100\) 2.44440 4.23383i 0.244440 0.423383i
\(101\) 0.844219 + 1.46223i 0.0840029 + 0.145497i 0.904966 0.425484i \(-0.139896\pi\)
−0.820963 + 0.570981i \(0.806563\pi\)
\(102\) 1.47369 + 0.394875i 0.145917 + 0.0390985i
\(103\) −4.38460 7.59435i −0.432027 0.748293i 0.565021 0.825077i \(-0.308868\pi\)
−0.997048 + 0.0767837i \(0.975535\pi\)
\(104\) 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
\(107\) −2.69786 −0.260812 −0.130406 0.991461i \(-0.541628\pi\)
−0.130406 + 0.991461i \(0.541628\pi\)
\(108\) −13.6686 −1.31526
\(109\) −8.97655 + 2.40526i −0.859798 + 0.230382i −0.661671 0.749794i \(-0.730152\pi\)
−0.198127 + 0.980176i \(0.563486\pi\)
\(110\) 0.0672978 + 0.251159i 0.00641659 + 0.0239470i
\(111\) 3.16943 11.8285i 0.300829 1.12271i
\(112\) −4.80365 + 12.0698i −0.453902 + 1.14049i
\(113\) −1.73470 3.00459i −0.163187 0.282648i 0.772823 0.634622i \(-0.218844\pi\)
−0.936010 + 0.351973i \(0.885511\pi\)
\(114\) 22.1361i 2.07323i
\(115\) 0.141760 0.529055i 0.0132192 0.0493347i
\(116\) −10.4084 6.00927i −0.966392 0.557946i
\(117\) 9.92372 20.9314i 0.917448 1.93511i
\(118\) 12.5036i 1.15105i
\(119\) 0.267646 0.672494i 0.0245351 0.0616475i
\(120\) −2.17299 + 3.76373i −0.198366 + 0.343580i
\(121\) −9.51197 5.49174i −0.864724 0.499249i
\(122\) 3.66153 + 13.6650i 0.331499 + 1.23717i
\(123\) 19.4166 + 19.4166i 1.75074 + 1.75074i
\(124\) 8.99700 2.41074i 0.807955 0.216491i
\(125\) −6.89673 6.89673i −0.616862 0.616862i
\(126\) −3.60379 + 30.6681i −0.321051 + 2.73213i
\(127\) −1.51307 0.873573i −0.134264 0.0775171i 0.431364 0.902178i \(-0.358033\pi\)
−0.565627 + 0.824661i \(0.691366\pi\)
\(128\) 6.75230 6.75230i 0.596825 0.596825i
\(129\) −14.9695 + 25.9279i −1.31799 + 2.28283i
\(130\) 4.14445 + 6.00009i 0.363492 + 0.526243i
\(131\) −5.14945 + 2.97304i −0.449909 + 0.259755i −0.707792 0.706421i \(-0.750309\pi\)
0.257882 + 0.966176i \(0.416975\pi\)
\(132\) −0.132802 0.495625i −0.0115590 0.0431386i
\(133\) 10.4298 + 1.22560i 0.904379 + 0.106273i
\(134\) −1.92488 + 1.11133i −0.166284 + 0.0960043i
\(135\) −3.02963 + 11.3067i −0.260749 + 0.973128i
\(136\) −0.245966 + 0.245966i −0.0210914 + 0.0210914i
\(137\) −13.8892 + 13.8892i −1.18663 + 1.18663i −0.208639 + 0.977993i \(0.566904\pi\)
−0.977993 + 0.208639i \(0.933096\pi\)
\(138\) −0.710096 + 2.65012i −0.0604474 + 0.225593i
\(139\) 4.80542 2.77441i 0.407590 0.235322i −0.282164 0.959366i \(-0.591052\pi\)
0.689754 + 0.724044i \(0.257719\pi\)
\(140\) −3.07033 2.28873i −0.259490 0.193433i
\(141\) −4.65607 17.3767i −0.392112 1.46338i
\(142\) −4.82597 + 2.78627i −0.404986 + 0.233819i
\(143\) 0.455970 + 0.0834062i 0.0381302 + 0.00697478i
\(144\) 15.7726 27.3189i 1.31438 2.27658i
\(145\) −7.27788 + 7.27788i −0.604395 + 0.604395i
\(146\) 0.193495 + 0.111715i 0.0160138 + 0.00924556i
\(147\) 20.9044 + 4.98172i 1.72417 + 0.410885i
\(148\) −3.66689 3.66689i −0.301417 0.301417i
\(149\) 0.416259 0.111536i 0.0341012 0.00913740i −0.241728 0.970344i \(-0.577714\pi\)
0.275829 + 0.961207i \(0.411048\pi\)
\(150\) 14.8293 + 14.8293i 1.21081 + 1.21081i
\(151\) 0.918204 + 3.42678i 0.0747224 + 0.278868i 0.993170 0.116674i \(-0.0372234\pi\)
−0.918448 + 0.395542i \(0.870557\pi\)
\(152\) −4.37077 2.52347i −0.354516 0.204680i
\(153\) −0.878806 + 1.52214i −0.0710473 + 0.123058i
\(154\) −0.611436 + 0.0891764i −0.0492709 + 0.00718604i
\(155\) 7.97669i 0.640703i
\(156\) −8.17847 11.8403i −0.654802 0.947984i
\(157\) 3.24916 + 1.87590i 0.259311 + 0.149713i 0.624020 0.781408i \(-0.285498\pi\)
−0.364709 + 0.931122i \(0.618832\pi\)
\(158\) 5.38569 20.0997i 0.428462 1.59904i
\(159\) 2.87009i 0.227613i
\(160\) 3.54961 + 6.14810i 0.280621 + 0.486050i
\(161\) 1.20933 + 0.481303i 0.0953088 + 0.0379320i
\(162\) 6.11365 22.8164i 0.480333 1.79263i
\(163\) 1.74265 + 6.50367i 0.136495 + 0.509407i 0.999987 + 0.00504443i \(0.00160570\pi\)
−0.863492 + 0.504362i \(0.831728\pi\)
\(164\) 11.2321 3.00964i 0.877081 0.235013i
\(165\) −0.439418 −0.0342087
\(166\) −20.7327 −1.60917
\(167\) −11.3562 + 3.04289i −0.878770 + 0.235466i −0.669876 0.742473i \(-0.733653\pi\)
−0.208894 + 0.977938i \(0.566986\pi\)
\(168\) −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
\(171\) −24.6323 6.60019i −1.88368 0.504729i
\(172\) 6.33922 + 10.9799i 0.483361 + 0.837206i
\(173\) −8.07033 + 13.9782i −0.613576 + 1.06274i 0.377057 + 0.926190i \(0.376936\pi\)
−0.990633 + 0.136555i \(0.956397\pi\)
\(174\) 36.4560 36.4560i 2.76372 2.76372i
\(175\) 7.80813 6.16604i 0.590239 0.466109i
\(176\) 0.609725 + 0.163375i 0.0459597 + 0.0123149i
\(177\) −20.4105 5.46898i −1.53415 0.411074i
\(178\) 7.69257i 0.576583i
\(179\) 7.96378 4.59789i 0.595241 0.343663i −0.171926 0.985110i \(-0.554999\pi\)
0.767167 + 0.641447i \(0.221666\pi\)
\(180\) 6.57560 + 6.57560i 0.490116 + 0.490116i
\(181\) 14.6492 1.08887 0.544433 0.838804i \(-0.316745\pi\)
0.544433 + 0.838804i \(0.316745\pi\)
\(182\) −15.3105 + 8.11745i −1.13489 + 0.601706i
\(183\) −23.9078 −1.76732
\(184\) −0.442316 0.442316i −0.0326080 0.0326080i
\(185\) −3.84603 + 2.22051i −0.282766 + 0.163255i
\(186\) 39.9564i 2.92975i
\(187\) −0.0339722 0.00910282i −0.00248429 0.000665664i
\(188\) −7.35861 1.97173i −0.536682 0.143804i
\(189\) −25.8453 10.2862i −1.87997 0.748209i
\(190\) 5.67653 5.67653i 0.411819 0.411819i
\(191\) −3.01632 + 5.22442i −0.218253 + 0.378026i −0.954274 0.298933i \(-0.903369\pi\)
0.736021 + 0.676959i \(0.236703\pi\)
\(192\) −2.70703 4.68872i −0.195363 0.338379i
\(193\) −0.397063 0.106393i −0.0285812 0.00765832i 0.244500 0.969649i \(-0.421376\pi\)
−0.273081 + 0.961991i \(0.588043\pi\)
\(194\) 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 \(0.169882\pi\)
\(198\) 1.50047 0.106634
\(199\) 17.4220 1.23502 0.617508 0.786565i \(-0.288142\pi\)
0.617508 + 0.786565i \(0.288142\pi\)
\(200\) −4.61855 + 1.23754i −0.326581 + 0.0875071i
\(201\) −0.972172 3.62820i −0.0685717 0.255913i
\(202\) −0.793857 + 2.96271i −0.0558556 + 0.208456i
\(203\) −15.1584 19.1953i −1.06391 1.34725i
\(204\) 0.545929 + 0.945576i 0.0382227 + 0.0662036i
\(205\) 9.95832i 0.695520i
\(206\) 4.12303 15.3874i 0.287265 1.07209i
\(207\) −2.73723 1.58034i −0.190251 0.109841i
\(208\) 17.6453 1.43025i 1.22348 0.0991703i
\(209\) 0.510290i 0.0352975i
\(210\) 12.8924 10.1811i 0.889662 0.702561i
\(211\) 7.69760 13.3326i 0.529925 0.917856i −0.469466 0.882951i \(-0.655554\pi\)
0.999391 0.0349058i \(-0.0111131\pi\)
\(212\) 1.05258 + 0.607707i 0.0722914 + 0.0417375i
\(213\) −2.43738 9.09644i −0.167007 0.623278i
\(214\) −3.46550 3.46550i −0.236897 0.236897i
\(215\) 10.4877 2.81016i 0.715252 0.191651i
\(216\) 9.45297 + 9.45297i 0.643193 + 0.643193i
\(217\) 18.8262 + 2.21225i 1.27800 + 0.150178i
\(218\) −14.6203 8.44105i −0.990214 0.571700i
\(219\) −0.266992 + 0.266992i −0.0180417 + 0.0180417i
\(220\) −0.0930415 + 0.161153i −0.00627286 + 0.0108649i
\(221\) −0.983146 + 0.0796899i −0.0661335 + 0.00536052i
\(222\) 19.2653 11.1228i 1.29300 0.746516i
\(223\) 3.59157 + 13.4039i 0.240509 + 0.897592i 0.975588 + 0.219610i \(0.0704786\pi\)
−0.735079 + 0.677982i \(0.762855\pi\)
\(224\) −15.4949 + 6.67248i −1.03529 + 0.445824i
\(225\) −20.9231 + 12.0799i −1.39487 + 0.805330i
\(226\) 1.63122 6.08779i 0.108507 0.404954i
\(227\) −8.44643 + 8.44643i −0.560610 + 0.560610i −0.929481 0.368871i \(-0.879744\pi\)
0.368871 + 0.929481i \(0.379744\pi\)
\(228\) −11.2018 + 11.2018i −0.741858 + 0.741858i
\(229\) −6.35901 + 23.7322i −0.420215 + 1.56826i 0.353939 + 0.935268i \(0.384842\pi\)
−0.774155 + 0.632997i \(0.781825\pi\)
\(230\) 0.861686 0.497495i 0.0568179 0.0328038i
\(231\) 0.121868 1.03709i 0.00801833 0.0682356i
\(232\) 3.04233 + 11.3541i 0.199739 + 0.745435i
\(233\) 15.3919 8.88654i 1.00836 0.582177i 0.0976486 0.995221i \(-0.468868\pi\)
0.910711 + 0.413044i \(0.135535\pi\)
\(234\) 39.6345 14.1397i 2.59099 0.924343i
\(235\) −3.26205 + 5.65004i −0.212793 + 0.368568i
\(236\) −6.32738 + 6.32738i −0.411877 + 0.411877i
\(237\) 30.4544 + 17.5828i 1.97822 + 1.14213i
\(238\) 1.20764 0.520042i 0.0782799 0.0337093i
\(239\) 17.0580 + 17.0580i 1.10339 + 1.10339i 0.993999 + 0.109392i \(0.0348902\pi\)
0.109392 + 0.993999i \(0.465110\pi\)
\(240\) −16.2102 + 4.34351i −1.04636 + 0.280372i
\(241\) 7.33684 + 7.33684i 0.472607 + 0.472607i 0.902757 0.430150i \(-0.141539\pi\)
−0.430150 + 0.902757i \(0.641539\pi\)
\(242\) −5.16413 19.2728i −0.331963 1.23890i
\(243\) 7.25497 + 4.18866i 0.465406 + 0.268702i
\(244\) −5.06220 + 8.76798i −0.324074 + 0.561312i
\(245\) −4.08318 6.63819i −0.260865 0.424098i
\(246\) 49.8827i 3.18040i
\(247\) −4.80873 13.4792i −0.305972 0.857658i
\(248\) −7.88939 4.55494i −0.500977 0.289239i
\(249\) 9.06829 33.8433i 0.574679 2.14473i
\(250\) 17.7182i 1.12060i
\(251\) −4.56198 7.90158i −0.287950 0.498743i 0.685371 0.728194i \(-0.259640\pi\)
−0.973320 + 0.229451i \(0.926307\pi\)
\(252\) −17.3431 + 13.6957i −1.09251 + 0.862748i
\(253\) 0.0163694 0.0610915i 0.00102914 0.00384079i
\(254\) −0.821460 3.06573i −0.0515430 0.192361i
\(255\) 0.903188 0.242009i 0.0565599 0.0151552i
\(256\) 20.8742 1.30464
\(257\) −30.7159 −1.91601 −0.958003 0.286758i \(-0.907422\pi\)
−0.958003 + 0.286758i \(0.907422\pi\)
\(258\) −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
\(262\) −10.4336 2.79568i −0.644591 0.172718i
\(263\) −2.77339 4.80365i −0.171015 0.296206i 0.767760 0.640737i \(-0.221371\pi\)
−0.938775 + 0.344531i \(0.888038\pi\)
\(264\) −0.250922 + 0.434609i −0.0154432 + 0.0267483i
\(265\) 0.736000 0.736000i 0.0452121 0.0452121i
\(266\) 11.8231 + 14.9718i 0.724923 + 0.917979i
\(267\) −12.5571 3.36466i −0.768481 0.205914i
\(268\) −1.53645 0.411691i −0.0938538 0.0251481i
\(269\) 5.45085i 0.332344i 0.986097 + 0.166172i \(0.0531407\pi\)
−0.986097 + 0.166172i \(0.946859\pi\)
\(270\) −18.4155 + 10.6322i −1.12073 + 0.647056i
\(271\) −7.56230 7.56230i −0.459377 0.459377i 0.439074 0.898451i \(-0.355307\pi\)
−0.898451 + 0.439074i \(0.855307\pi\)
\(272\) −1.34322 −0.0814446
\(273\) −6.55396 28.5429i −0.396664 1.72749i
\(274\) −35.6823 −2.15564
\(275\) −0.341851 0.341851i −0.0206144 0.0206144i
\(276\) −1.70041 + 0.981733i −0.102353 + 0.0590934i
\(277\) 24.5511i 1.47513i −0.675275 0.737566i \(-0.735975\pi\)
0.675275 0.737566i \(-0.264025\pi\)
\(278\) 9.73655 + 2.60890i 0.583960 + 0.156472i
\(279\) −44.4621 11.9136i −2.66187 0.713247i
\(280\) 0.540544 + 3.70623i 0.0323037 + 0.221490i
\(281\) 8.66937 8.66937i 0.517172 0.517172i −0.399543 0.916714i \(-0.630831\pi\)
0.916714 + 0.399543i \(0.130831\pi\)
\(282\) 16.3401 28.3019i 0.973038 1.68535i
\(283\) 1.41770 + 2.45554i 0.0842738 + 0.145967i 0.905082 0.425238i \(-0.139810\pi\)
−0.820808 + 0.571205i \(0.806476\pi\)
\(284\) −3.85212 1.03217i −0.228581 0.0612482i
\(285\) 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
\(289\) −16.9252 −0.995598
\(290\) −18.6974 −1.09795
\(291\) −7.34824 + 1.96896i −0.430762 + 0.115422i
\(292\) 0.0413846 + 0.154449i 0.00242185 + 0.00903846i
\(293\) 5.11331 19.0831i 0.298723 1.11485i −0.639493 0.768797i \(-0.720856\pi\)
0.938215 0.346052i \(-0.112478\pi\)
\(294\) 20.4532 + 33.2516i 1.19286 + 1.93927i
\(295\) 3.83157 + 6.63648i 0.223083 + 0.386391i
\(296\) 5.07192i 0.294799i
\(297\) −0.349840 + 1.30562i −0.0202998 + 0.0757597i
\(298\) 0.677971 + 0.391427i 0.0392738 + 0.0226747i
\(299\) −0.143305 1.76797i −0.00828753 0.102244i
\(300\) 15.0085i 0.866517i
\(301\) 3.72375 + 25.5318i 0.214633 + 1.47163i
\(302\) −3.22236 + 5.58129i −0.185426 + 0.321167i
\(303\) −4.48901 2.59173i −0.257887 0.148891i
\(304\) −5.04406 18.8247i −0.289296 1.07967i
\(305\) 6.13088 + 6.13088i 0.351053 + 0.351053i
\(306\) −3.08410 + 0.826381i −0.176306 + 0.0472411i
\(307\) −6.98294 6.98294i −0.398537 0.398537i 0.479180 0.877717i \(-0.340934\pi\)
−0.877717 + 0.479180i \(0.840934\pi\)
\(308\) −0.354540 0.264286i −0.0202018 0.0150591i
\(309\) 23.3144 + 13.4606i 1.32631 + 0.765746i
\(310\) 10.2463 10.2463i 0.581953 0.581953i
\(311\) 13.2286 22.9126i 0.750126 1.29926i −0.197636 0.980276i \(-0.563326\pi\)
0.947761 0.318980i \(-0.103340\pi\)
\(312\) −2.53246 + 13.8446i −0.143373 + 0.783798i
\(313\) 10.2371 5.91040i 0.578636 0.334076i −0.181955 0.983307i \(-0.558243\pi\)
0.760591 + 0.649231i \(0.224909\pi\)
\(314\) 1.76400 + 6.58332i 0.0995480 + 0.371518i
\(315\) 7.48507 + 17.3819i 0.421736 + 0.979357i
\(316\) 12.8967 7.44590i 0.725495 0.418865i
\(317\) 0.945407 3.52831i 0.0530994 0.198170i −0.934281 0.356538i \(-0.883957\pi\)
0.987380 + 0.158369i \(0.0506235\pi\)
\(318\) −3.68673 + 3.68673i −0.206742 + 0.206742i
\(319\) −0.840398 + 0.840398i −0.0470532 + 0.0470532i
\(320\) −0.508180 + 1.89655i −0.0284081 + 0.106020i
\(321\) 7.17274 4.14118i 0.400343 0.231138i
\(322\) 0.935181 + 2.17168i 0.0521156 + 0.121023i
\(323\) 0.281041 + 1.04886i 0.0156375 + 0.0583601i
\(324\) 14.6399 8.45233i 0.813326 0.469574i
\(325\) −12.2513 5.80844i −0.679581 0.322194i
\(326\) −6.11569 + 10.5927i −0.338717 + 0.586675i
\(327\) 20.1737 20.1737i 1.11561 1.11561i
\(328\) −9.84934 5.68652i −0.543839 0.313985i
\(329\) −12.4302 9.26590i −0.685301 0.510846i
\(330\) −0.564448 0.564448i −0.0310718 0.0310718i
\(331\) −8.31943 + 2.22918i −0.457277 + 0.122527i −0.480102 0.877212i \(-0.659401\pi\)
0.0228253 + 0.999739i \(0.492734\pi\)
\(332\) −10.4916 10.4916i −0.575803 0.575803i
\(333\) 6.63287 + 24.7542i 0.363479 + 1.35652i
\(334\) −18.4961 10.6788i −1.01206 0.584315i
\(335\) −0.681105 + 1.17971i −0.0372128 + 0.0644544i
\(336\) −5.75560 39.4631i −0.313993 2.15289i
\(337\) 26.3426i 1.43497i 0.696572 + 0.717487i \(0.254708\pi\)
−0.696572 + 0.717487i \(0.745292\pi\)
\(338\) 19.1704 + 13.7915i 1.04273 + 0.750160i
\(339\) 9.22402 + 5.32549i 0.500980 + 0.289241i
\(340\) 0.102485 0.382479i 0.00555802 0.0207428i
\(341\) 0.921091i 0.0498799i
\(342\) −23.1628 40.1192i −1.25250 2.16940i
\(343\) 16.7995 7.79588i 0.907089 0.420938i
\(344\) 3.20938 11.9776i 0.173038 0.645787i
\(345\) 0.435199 + 1.62419i 0.0234303 + 0.0874432i
\(346\) −28.3221 + 7.58889i −1.52261 + 0.407981i
\(347\) 5.22676 0.280587 0.140294 0.990110i \(-0.455195\pi\)
0.140294 + 0.990110i \(0.455195\pi\)
\(348\) 36.8966 1.97786
\(349\) −11.2071 + 3.00292i −0.599900 + 0.160743i −0.545974 0.837802i \(-0.683840\pi\)
−0.0539262 + 0.998545i \(0.517174\pi\)
\(350\) 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
\(353\) 8.33853 + 2.23430i 0.443815 + 0.118920i 0.473804 0.880630i \(-0.342881\pi\)
−0.0299889 + 0.999550i \(0.509547\pi\)
\(354\) −19.1929 33.2431i −1.02009 1.76685i
\(355\) −1.70763 + 2.95771i −0.0906318 + 0.156979i
\(356\) −3.89277 + 3.89277i −0.206316 + 0.206316i
\(357\) 0.320686 + 2.19878i 0.0169725 + 0.116372i
\(358\) 16.1359 + 4.32360i 0.852809 + 0.228510i
\(359\) 29.9910 + 8.03606i 1.58286 + 0.424127i 0.939811 0.341695i \(-0.111001\pi\)
0.643053 + 0.765822i \(0.277668\pi\)
\(360\) 9.09513i 0.479355i
\(361\) 2.81049 1.62264i 0.147921 0.0854020i
\(362\) 18.8174 + 18.8174i 0.989021 + 0.989021i
\(363\) 33.7190 1.76979
\(364\) −11.8556 3.64001i −0.621400 0.190788i
\(365\) 0.136934 0.00716744
\(366\) −30.7104 30.7104i −1.60526 1.60526i
\(367\) −2.26835 + 1.30963i −0.118407 + 0.0683622i −0.558034 0.829818i \(-0.688444\pi\)
0.439627 + 0.898180i \(0.355111\pi\)
\(368\) 2.41548i 0.125916i
\(369\) −55.5077 14.8732i −2.88962 0.774270i
\(370\) −7.79268 2.08804i −0.405122 0.108552i
\(371\) 1.53295 + 1.94119i 0.0795866 + 0.100782i
\(372\) −20.2197 + 20.2197i −1.04834 + 1.04834i
\(373\) −17.9182 + 31.0351i −0.927767 + 1.60694i −0.140717 + 0.990050i \(0.544941\pi\)
−0.787050 + 0.616889i \(0.788393\pi\)
\(374\) −0.0319456 0.0553314i −0.00165187 0.00286112i
\(375\) 28.9226 + 7.74977i 1.49355 + 0.400197i
\(376\) 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 \(0.618343\pi\)
\(380\) 5.74514 0.294719
\(381\) 5.36369 0.274790
\(382\) −10.5855 + 2.83638i −0.541602 + 0.145122i
\(383\) 3.37720 + 12.6039i 0.172567 + 0.644029i 0.996953 + 0.0780010i \(0.0248537\pi\)
−0.824386 + 0.566028i \(0.808480\pi\)
\(384\) −7.58748 + 28.3169i −0.387197 + 1.44504i
\(385\) −0.297201 + 0.234698i −0.0151468 + 0.0119613i
\(386\) −0.373376 0.646707i −0.0190044 0.0329165i
\(387\) 62.6553i 3.18495i
\(388\) −0.833805 + 3.11180i −0.0423301 + 0.157978i
\(389\) 21.4938 + 12.4094i 1.08978 + 0.629183i 0.933517 0.358533i \(-0.116723\pi\)
0.156260 + 0.987716i \(0.450056\pi\)
\(390\) −20.2288 9.59062i −1.02433 0.485640i
\(391\) 0.134584i 0.00680621i
\(392\) −8.89716 + 0.247880i −0.449375 + 0.0125198i
\(393\) 9.12714 15.8087i 0.460403 0.797442i
\(394\) 30.9106 + 17.8463i 1.55726 + 0.899082i
\(395\) −3.30075 12.3186i −0.166079 0.619814i
\(396\) 0.759303 + 0.759303i 0.0381564 + 0.0381564i
\(397\) 9.34451 2.50385i 0.468987 0.125665i −0.0165827 0.999862i \(-0.505279\pi\)
0.485570 + 0.874198i \(0.338612\pi\)
\(398\) 22.3792 + 22.3792i 1.12177 + 1.12177i
\(399\) −29.6108 + 12.7511i −1.48239 + 0.638356i
\(400\) −15.9900 9.23184i −0.799501 0.461592i
\(401\) −4.95225 + 4.95225i −0.247304 + 0.247304i −0.819863 0.572559i \(-0.805951\pi\)
0.572559 + 0.819863i \(0.305951\pi\)
\(402\) 3.41175 5.90933i 0.170163 0.294731i
\(403\) −8.67993 24.3303i −0.432378 1.21198i
\(404\) −1.90099 + 1.09754i −0.0945776 + 0.0546044i
\(405\) −3.74689 13.9836i −0.186185 0.694850i
\(406\) 5.18553 44.1286i 0.257353 2.19007i
\(407\) −0.444112 + 0.256408i −0.0220138 + 0.0127097i
\(408\) 0.276389 1.03150i 0.0136833 0.0510668i
\(409\) 10.7508 10.7508i 0.531591 0.531591i −0.389455 0.921045i \(-0.627337\pi\)
0.921045 + 0.389455i \(0.127337\pi\)
\(410\) 12.7918 12.7918i 0.631743 0.631743i
\(411\) 15.6071 58.2465i 0.769841 2.87309i
\(412\) 9.87310 5.70024i 0.486413 0.280831i
\(413\) −16.7257 + 7.20252i −0.823019 + 0.354413i
\(414\) −1.48606 5.54607i −0.0730361 0.272574i
\(415\) −11.0042 + 6.35326i −0.540173 + 0.311869i
\(416\) 17.5171 + 14.8903i 0.858844 + 0.730055i
\(417\) −8.51736 + 14.7525i −0.417097 + 0.722433i
\(418\) 0.655485 0.655485i 0.0320608 0.0320608i
\(419\) 21.4435 + 12.3804i 1.04758 + 0.604823i 0.921972 0.387257i \(-0.126577\pi\)
0.125612 + 0.992079i \(0.459911\pi\)
\(420\) 11.6762 + 1.37206i 0.569739 + 0.0669497i
\(421\) −4.11077 4.11077i −0.200347 0.200347i 0.599802 0.800149i \(-0.295246\pi\)
−0.800149 + 0.599802i \(0.795246\pi\)
\(422\) 27.0141 7.23840i 1.31502 0.352360i
\(423\) 26.6213 + 26.6213i 1.29437 + 1.29437i
\(424\) −0.307666 1.14822i −0.0149416 0.0557627i
\(425\) 0.890920 + 0.514373i 0.0432160 + 0.0249508i
\(426\) 8.55379 14.8156i 0.414432 0.717818i
\(427\) −16.1701 + 12.7694i −0.782526 + 0.617956i
\(428\) 3.50738i 0.169536i
\(429\) −1.34030 + 0.478158i −0.0647105 + 0.0230857i
\(430\) 17.0815 + 9.86201i 0.823744 + 0.475589i
\(431\) −5.00354 + 18.6735i −0.241012 + 0.899470i 0.734334 + 0.678789i \(0.237495\pi\)
−0.975346 + 0.220681i \(0.929172\pi\)
\(432\) 51.6226i 2.48369i
\(433\) 1.10640 + 1.91634i 0.0531702 + 0.0920934i 0.891385 0.453246i \(-0.149734\pi\)
−0.838215 + 0.545339i \(0.816401\pi\)
\(434\) 21.3412 + 27.0246i 1.02441 + 1.29722i
\(435\) 8.17807 30.5210i 0.392108 1.46337i
\(436\) −3.12698 11.6700i −0.149755 0.558894i
\(437\) −1.88614 + 0.505391i −0.0902265 + 0.0241761i
\(438\) −0.685921 −0.0327746
\(439\) 7.34269 0.350447 0.175224 0.984529i \(-0.443935\pi\)
0.175224 + 0.984529i \(0.443935\pi\)
\(440\) 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 −0.987235 0.159273i \(-0.949085\pi\)
0.355683 0.934607i \(-0.384248\pi\)
\(444\) 15.3777 + 4.12044i 0.729794 + 0.195548i
\(445\) 2.35729 + 4.08294i 0.111746 + 0.193550i
\(446\) −12.6043 + 21.8313i −0.596831 + 1.03374i
\(447\) −0.935490 + 0.935490i −0.0442472 + 0.0442472i
\(448\) −4.33520 1.72537i −0.204819 0.0815160i
\(449\) −21.6019 5.78821i −1.01946 0.273163i −0.289881 0.957063i \(-0.593616\pi\)
−0.729576 + 0.683900i \(0.760282\pi\)
\(450\) −42.3935 11.3593i −1.99845 0.535483i
\(451\) 1.14992i 0.0541474i
\(452\) 3.90615 2.25522i 0.183730 0.106076i
\(453\) −7.70127 7.70127i −0.361837 0.361837i
\(454\) −21.6995 −1.01841
\(455\) −5.63880 + 9.00016i −0.264351 + 0.421934i
\(456\) 15.4939 0.725570
\(457\) 1.59916 + 1.59916i 0.0748054 + 0.0748054i 0.743520 0.668714i \(-0.233155\pi\)
−0.668714 + 0.743520i \(0.733155\pi\)
\(458\) −38.6532 + 22.3164i −1.80614 + 1.04278i
\(459\) 2.87627i 0.134253i
\(460\) 0.687804 + 0.184296i 0.0320690 + 0.00859287i
\(461\) −3.60574 0.966154i −0.167936 0.0449983i 0.173871 0.984768i \(-0.444372\pi\)
−0.341807 + 0.939770i \(0.611039\pi\)
\(462\) 1.48872 1.17564i 0.0692617 0.0546956i
\(463\) −15.5412 + 15.5412i −0.722262 + 0.722262i −0.969066 0.246804i \(-0.920620\pi\)
0.246804 + 0.969066i \(0.420620\pi\)
\(464\) −22.6953 + 39.3095i −1.05360 + 1.82490i
\(465\) 12.2441 + 21.2074i 0.567807 + 0.983471i
\(466\) 31.1866 + 8.35641i 1.44469 + 0.387103i
\(467\) −2.73553 4.73808i −0.126585 0.219252i 0.795766 0.605604i \(-0.207068\pi\)
−0.922351 + 0.386352i \(0.873735\pi\)
\(468\) 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
\(471\) −11.5179 −0.530719
\(472\) 8.75180 0.402834
\(473\) 1.21104 0.324497i 0.0556837 0.0149204i
\(474\) 16.5339 + 61.7054i 0.759428 + 2.83422i
\(475\) −3.86315 + 14.4175i −0.177253 + 0.661519i
\(476\) 0.874283 + 0.347956i 0.0400727 + 0.0159485i
\(477\) −3.00321 5.20171i −0.137508 0.238170i
\(478\) 43.8232i 2.00443i
\(479\) 0.410401 1.53164i 0.0187517 0.0699822i −0.955916 0.293640i \(-0.905133\pi\)
0.974668 + 0.223658i \(0.0717999\pi\)
\(480\) −18.8745 10.8972i −0.861499 0.497387i
\(481\) −9.31480 + 10.9580i −0.424719 + 0.499644i
\(482\) 18.8489i 0.858542i
\(483\) −3.95402 + 0.576684i −0.179914 + 0.0262400i
\(484\) 7.13958 12.3661i 0.324527 0.562096i
\(485\) 2.38928 + 1.37945i 0.108492 + 0.0626378i
\(486\) 3.93878 + 14.6997i 0.178667 + 0.666793i
\(487\) 5.57627 + 5.57627i 0.252685 + 0.252685i 0.822071 0.569386i \(-0.192819\pi\)
−0.569386 + 0.822071i \(0.692819\pi\)
\(488\) 9.56470 2.56285i 0.432974 0.116015i
\(489\) −14.6162 14.6162i −0.660967 0.660967i
\(490\) 3.28199 13.7720i 0.148265 0.622154i
\(491\) 7.46842 + 4.31189i 0.337045 + 0.194593i 0.658965 0.752174i \(-0.270995\pi\)
−0.321919 + 0.946767i \(0.604328\pi\)
\(492\) −25.2428 + 25.2428i −1.13803 + 1.13803i
\(493\) 1.26452 2.19022i 0.0569512 0.0986424i
\(494\) 11.1375 23.4914i 0.501098 1.05693i
\(495\) 0.796396 0.459800i 0.0357953 0.0206665i
\(496\) −9.10470 33.9792i −0.408813 1.52571i
\(497\) −6.50704 4.85056i −0.291881 0.217577i
\(498\) 55.1214 31.8244i 2.47005 1.42608i
\(499\) 4.10435 15.3177i 0.183736 0.685712i −0.811161 0.584822i \(-0.801164\pi\)
0.994898 0.100890i \(-0.0321691\pi\)
\(500\) 8.96616 8.96616i 0.400979 0.400979i
\(501\) 25.5217 25.5217i 1.14022 1.14022i
\(502\) 4.28983 16.0099i 0.191465 0.714556i
\(503\) 21.6152 12.4795i 0.963773 0.556435i 0.0664408 0.997790i \(-0.478836\pi\)
0.897332 + 0.441356i \(0.145502\pi\)
\(504\) 21.4659 + 2.52244i 0.956165 + 0.112358i
\(505\) 0.486534 + 1.81577i 0.0216505 + 0.0808007i
\(506\) 0.0995013 0.0574471i 0.00442337 0.00255384i
\(507\) −30.8978 + 25.2608i −1.37222 + 1.12187i
\(508\) 1.13570 1.96709i 0.0503884 0.0872753i
\(509\) −3.66666 + 3.66666i −0.162522 + 0.162522i −0.783683 0.621161i \(-0.786661\pi\)
0.621161 + 0.783683i \(0.286661\pi\)
\(510\) 1.47105 + 0.849308i 0.0651390 + 0.0376080i
\(511\) −0.0379772 + 0.323184i −0.00168001 + 0.0142968i
\(512\) 13.3091 + 13.3091i 0.588184 + 0.588184i
\(513\) 40.3098 10.8010i 1.77972 0.476874i
\(514\) −39.4557 39.4557i −1.74031 1.74031i
\(515\) −2.52690 9.43051i −0.111348 0.415558i
\(516\) −33.7079 19.4612i −1.48391 0.856734i
\(517\) −0.376678 + 0.652426i −0.0165663 + 0.0286937i
\(518\) 7.08930 17.8128i 0.311486 0.782648i
\(519\) 49.5514i 2.17506i
\(520\) 4.19971 2.90087i 0.184169 0.127212i
\(521\) −12.8926 7.44352i −0.564833 0.326107i 0.190250 0.981736i \(-0.439070\pi\)
−0.755083 + 0.655629i \(0.772404\pi\)
\(522\) −27.9255 + 104.219i −1.22226 + 4.56155i
\(523\) 18.3892i 0.804101i 0.915617 + 0.402051i \(0.131702\pi\)
−0.915617 + 0.402051i \(0.868298\pi\)
\(524\) −3.86512 6.69459i −0.168849 0.292455i
\(525\) −11.2945 + 28.3789i −0.492932 + 1.23855i
\(526\) 2.60794 9.73298i 0.113712 0.424378i
\(527\) 0.507289 + 1.89323i 0.0220979 + 0.0824703i
\(528\) −1.87184 + 0.501558i −0.0814613 + 0.0218275i
\(529\) 22.7580 0.989477
\(530\) 1.89083 0.0821326
\(531\) 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
\(535\) −2.90132 0.777406i −0.125435 0.0336102i
\(536\) 0.777865 + 1.34730i 0.0335987 + 0.0581946i
\(537\) −14.1154 + 24.4486i −0.609124 + 1.05503i
\(538\) −7.00181 + 7.00181i −0.301869 + 0.301869i
\(539\) −0.471497 0.766530i −0.0203088 0.0330168i
\(540\) −14.6994 3.93870i −0.632562 0.169494i
\(541\) 25.0540 + 6.71321i 1.07716 + 0.288623i 0.753431 0.657527i \(-0.228398\pi\)
0.323726 + 0.946151i \(0.395064\pi\)
\(542\) 19.4281i 0.834507i
\(543\) −38.9475 + 22.4863i −1.67140 + 0.964981i
\(544\) −1.23348 1.23348i −0.0528849 0.0528849i
\(545\) −10.3466 −0.443200
\(546\) 28.2455 45.0831i 1.20880 1.92938i
\(547\) −32.7020 −1.39824 −0.699119 0.715006i \(-0.746424\pi\)
−0.699119 + 0.715006i \(0.746424\pi\)
\(548\) −18.0568 18.0568i −0.771346 0.771346i
\(549\) 43.3303 25.0167i 1.84929 1.06769i
\(550\) 0.878239i 0.0374482i
\(551\) 35.4436 + 9.49708i 1.50995 + 0.404589i
\(552\) 1.85492 + 0.497025i 0.0789508 + 0.0211548i
\(553\) 29.9890 4.37383i 1.27526 0.185994i
\(554\) 31.5367 31.5367i 1.33987 1.33987i
\(555\) 6.81689 11.8072i 0.289361 0.501188i
\(556\) 3.60690 + 6.24733i 0.152967 + 0.264946i
\(557\) −8.96735 2.40279i −0.379959 0.101810i 0.0637843 0.997964i \(-0.479683\pi\)
−0.443743 + 0.896154i \(0.646350\pi\)
\(558\) −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
\(562\) 22.2722 0.939497
\(563\) −34.6988 −1.46238 −0.731189 0.682175i \(-0.761034\pi\)
−0.731189 + 0.682175i \(0.761034\pi\)
\(564\) 22.5907 6.05317i 0.951242 0.254884i
\(565\) −0.999731 3.73105i −0.0420590 0.156966i
\(566\) −1.33313 + 4.97531i −0.0560357 + 0.209128i
\(567\) 34.0425 4.96502i 1.42965 0.208511i
\(568\) 1.95023 + 3.37789i 0.0818297 + 0.141733i
\(569\) 28.8468i 1.20932i −0.796484 0.604659i \(-0.793309\pi\)
0.796484 0.604659i \(-0.206691\pi\)
\(570\) −6.37865 + 23.8055i −0.267172 + 0.997101i
\(571\) −21.3819 12.3448i −0.894804 0.516615i −0.0192930 0.999814i \(-0.506142\pi\)
−0.875511 + 0.483199i \(0.839475\pi\)
\(572\) −0.108433 + 0.592789i −0.00453381 + 0.0247857i
\(573\) 18.5200i 0.773686i
\(574\) 26.6429 + 33.7383i 1.11205 + 1.40821i
\(575\) −0.924987 + 1.60212i −0.0385746 + 0.0668132i
\(576\) 9.81239 + 5.66519i 0.408850 + 0.236049i
\(577\) −0.963094 3.59432i −0.0400941 0.149633i 0.942977 0.332858i \(-0.108013\pi\)
−0.983071 + 0.183225i \(0.941346\pi\)
\(578\) −21.7410 21.7410i −0.904305 0.904305i
\(579\) 1.21897 0.326623i 0.0506588 0.0135740i
\(580\) −9.46168 9.46168i −0.392875 0.392875i
\(581\) −11.9427 27.7335i −0.495468 1.15058i
\(582\) −11.9683 6.90988i −0.496101 0.286424i
\(583\) 0.0849880 0.0849880i 0.00351984 0.00351984i
\(584\) 0.0781935 0.135435i 0.00323567 0.00560435i
\(585\) 16.7036 19.6503i 0.690610 0.812441i
\(586\) 31.0812 17.9447i 1.28395 0.741290i
\(587\) 4.43305 + 16.5444i 0.182972 + 0.682859i 0.995056 + 0.0993189i \(0.0316664\pi\)
−0.812084 + 0.583540i \(0.801667\pi\)
\(588\) −6.47653 + 27.1770i −0.267088 + 1.12076i
\(589\) −24.6279 + 14.2189i −1.01477 + 0.585880i
\(590\) −3.60300 + 13.4466i −0.148333 + 0.553587i
\(591\) −42.6517 + 42.6517i −1.75446 + 1.75446i
\(592\) −13.8488 + 13.8488i −0.569184 + 0.569184i
\(593\) −5.30494 + 19.7983i −0.217848 + 0.813019i 0.767297 + 0.641292i \(0.221601\pi\)
−0.985145 + 0.171727i \(0.945065\pi\)
\(594\) −2.12649 + 1.22773i −0.0872511 + 0.0503745i
\(595\) 0.481614 0.646086i 0.0197442 0.0264869i
\(596\) 0.145004 + 0.541161i 0.00593958 + 0.0221668i
\(597\) −46.3195 + 26.7426i −1.89573 + 1.09450i
\(598\) 2.08694 2.45510i 0.0853414 0.100397i
\(599\) 19.5672 33.8914i 0.799494 1.38476i −0.120452 0.992719i \(-0.538434\pi\)
0.919946 0.392045i \(-0.128232\pi\)
\(600\) 10.3796 10.3796i 0.423746 0.423746i
\(601\) −29.2750 16.9020i −1.19415 0.689445i −0.234908 0.972018i \(-0.575479\pi\)
−0.959246 + 0.282573i \(0.908812\pi\)
\(602\) −28.0132 + 37.5798i −1.14173 + 1.53164i
\(603\) 5.55843 + 5.55843i 0.226357 + 0.226357i
\(604\) −4.45502 + 1.19372i −0.181272 + 0.0485718i
\(605\) −8.64682 8.64682i −0.351543 0.351543i
\(606\) −2.43712 9.09545i −0.0990012 0.369478i
\(607\) −25.0478 14.4613i −1.01666 0.586968i −0.103524 0.994627i \(-0.533012\pi\)
−0.913134 + 0.407659i \(0.866345\pi\)
\(608\) 12.6548 21.9187i 0.513218 0.888920i
\(609\) 69.7659 + 27.7661i 2.82706 + 1.12514i
\(610\) 15.7506i 0.637725i
\(611\) −3.80168 + 20.7833i −0.153800 + 0.840801i
\(612\) −1.97887 1.14250i −0.0799910 0.0461829i
\(613\) −4.75410 + 17.7425i −0.192016 + 0.716614i 0.801003 + 0.598660i \(0.204300\pi\)
−0.993019 + 0.117954i \(0.962367\pi\)
\(614\) 17.9397i 0.723986i
\(615\) 15.2859 + 26.4759i 0.616387 + 1.06761i
\(616\) 0.0624182 + 0.427969i 0.00251490 + 0.0172434i
\(617\) −3.13670 + 11.7063i −0.126279 + 0.471279i −0.999882 0.0153601i \(-0.995111\pi\)
0.873603 + 0.486639i \(0.161777\pi\)
\(618\) 12.6576 + 47.2388i 0.509163 + 1.90022i
\(619\) 23.3947 6.26859i 0.940312 0.251956i 0.244065 0.969759i \(-0.421519\pi\)
0.696246 + 0.717803i \(0.254852\pi\)
\(620\) 10.3702 0.416476
\(621\) 5.17234 0.207559
\(622\) 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
\(626\) 20.7420 + 5.55781i 0.829019 + 0.222135i
\(627\) 0.783288 + 1.35669i 0.0312815 + 0.0541812i
\(628\) −2.43879 + 4.22410i −0.0973182 + 0.168560i
\(629\) 0.771620 0.771620i 0.0307665 0.0307665i
\(630\) −12.7128 + 31.9425i −0.506489 + 1.27262i
\(631\) −7.36652 1.97385i −0.293256 0.0785778i 0.109191 0.994021i \(-0.465174\pi\)
−0.402448 + 0.915443i \(0.631841\pi\)
\(632\) −14.0686 3.76966i −0.559618 0.149949i
\(633\) 47.2628i 1.87853i
\(634\) 5.74664 3.31783i 0.228228 0.131768i
\(635\) −1.37545 1.37545i −0.0545833 0.0545833i
\(636\) −3.73129 −0.147955
\(637\) −19.6779 15.8045i −0.779665 0.626197i
\(638\) −2.15904 −0.0854772
\(639\) 13.9358 + 13.9358i 0.551293 + 0.551293i
\(640\) 9.20724 5.31580i 0.363948 0.210125i
\(641\) 26.5132i 1.04721i −0.851962 0.523603i \(-0.824587\pi\)
0.851962 0.523603i \(-0.175413\pi\)
\(642\) 14.5331 + 3.89414i 0.573577 + 0.153689i
\(643\) 11.1885 + 2.99795i 0.441231 + 0.118228i 0.472593 0.881281i \(-0.343318\pi\)
−0.0313623 + 0.999508i \(0.509985\pi\)
\(644\) −0.625722 + 1.57221i −0.0246569 + 0.0619536i
\(645\) −23.5697 + 23.5697i −0.928057 + 0.928057i
\(646\) −0.986290 + 1.70830i −0.0388050 + 0.0672123i
\(647\) 19.2967 + 33.4228i 0.758631 + 1.31399i 0.943549 + 0.331233i \(0.107465\pi\)
−0.184918 + 0.982754i \(0.559202\pi\)
\(648\) −15.9701 4.27919i −0.627367 0.168102i
\(649\) 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
\(653\) 26.0323 1.01872 0.509361 0.860553i \(-0.329882\pi\)
0.509361 + 0.860553i \(0.329882\pi\)
\(654\) 51.8276 2.02662
\(655\) −6.39449 + 1.71340i −0.249853 + 0.0669480i
\(656\) −11.3666 42.4206i −0.443790 1.65625i
\(657\) 0.204517 0.763269i 0.00797898 0.0297780i
\(658\) −4.06469 27.8694i −0.158458 1.08646i
\(659\) 24.8221 + 42.9932i 0.966933 + 1.67478i 0.704328 + 0.709874i \(0.251248\pi\)
0.262605 + 0.964903i \(0.415418\pi\)
\(660\) 0.571270i 0.0222366i
\(661\) 3.13750 11.7093i 0.122034 0.455439i −0.877682 0.479243i \(-0.840911\pi\)
0.999717 + 0.0238044i \(0.00757790\pi\)
\(662\) −13.5501 7.82313i −0.526638 0.304055i
\(663\) 2.49154 1.72098i 0.0967634 0.0668375i
\(664\) 14.5116i 0.563161i
\(665\) 10.8632 + 4.32344i 0.421257 + 0.167656i
\(666\) −23.2775 + 40.3178i −0.901984 + 1.56228i
\(667\) 3.93862 + 2.27397i 0.152504 + 0.0880483i
\(668\) −3.95594 14.7638i −0.153060 0.571227i
\(669\) −30.1236 30.1236i −1.16465 1.16465i
\(670\) −2.39028 + 0.640474i −0.0923446 + 0.0247437i
\(671\) 0.707950 + 0.707950i 0.0273301 + 0.0273301i
\(672\) 30.9536 41.5244i 1.19406 1.60184i
\(673\) 34.6870 + 20.0265i 1.33708 + 0.771966i 0.986374 0.164519i \(-0.0526070\pi\)
0.350710 + 0.936484i \(0.385940\pi\)
\(674\) −33.8380 + 33.8380i −1.30339 + 1.30339i
\(675\) 19.7684 34.2398i 0.760885 1.31789i
\(676\) 2.72194 + 16.6801i 0.104690 + 0.641544i
\(677\) 33.3532 19.2565i 1.28187 0.740086i 0.304678 0.952455i \(-0.401451\pi\)
0.977190 + 0.212369i \(0.0681179\pi\)
\(678\) 5.00780 + 18.6894i 0.192323 + 0.717760i
\(679\) −3.91836 + 5.25649i −0.150373 + 0.201725i
\(680\) −0.335392 + 0.193639i −0.0128617 + 0.00742570i
\(681\) 9.49116 35.4215i 0.363702 1.35735i
\(682\) 1.18317 1.18317i 0.0453061 0.0453061i
\(683\) −26.9693 + 26.9693i −1.03195 + 1.03195i −0.0324804 + 0.999472i \(0.510341\pi\)
−0.999472 + 0.0324804i \(0.989659\pi\)
\(684\) 8.58064 32.0234i 0.328089 1.22445i
\(685\) −18.9389 + 10.9344i −0.723617 + 0.417780i
\(686\) 31.5937 + 11.5655i 1.20625 + 0.441573i
\(687\) −19.5220 72.8571i −0.744810 2.77967i
\(688\) 41.4679 23.9415i 1.58095 0.912761i
\(689\) 1.44404 3.04582i 0.0550137 0.116036i
\(690\) −1.52729 + 2.64535i −0.0581431 + 0.100707i
\(691\) 4.16816 4.16816i 0.158564 0.158564i −0.623366 0.781930i \(-0.714235\pi\)
0.781930 + 0.623366i \(0.214235\pi\)
\(692\) −18.1725 10.4919i −0.690816 0.398843i
\(693\) 0.864323 + 2.00713i 0.0328329 + 0.0762447i
\(694\) 6.71396 + 6.71396i 0.254858 + 0.254858i
\(695\) 5.96728 1.59893i 0.226352 0.0606508i
\(696\) −25.5170 25.5170i −0.967220 0.967220i
\(697\) 0.633314 + 2.36356i 0.0239885 + 0.0895262i
\(698\) −18.2532 10.5385i −0.690894 0.398888i
\(699\) −27.2814 + 47.2528i −1.03188 + 1.78727i
\(700\) 8.01621 + 10.1510i 0.302984 + 0.383673i
\(701\) 39.7256i 1.50041i −0.661203 0.750207i \(-0.729954\pi\)
0.661203 0.750207i \(-0.270046\pi\)
\(702\) −44.6011 + 52.4693i −1.68336 + 1.98032i
\(703\) 13.7115 + 7.91636i 0.517140 + 0.298571i
\(704\) −0.0586809 + 0.219000i −0.00221162 + 0.00825388i
\(705\) 20.0288i 0.754329i
\(706\) 7.84109 + 13.5812i 0.295103 + 0.511134i
\(707\) −4.42042 + 0.644707i −0.166247 + 0.0242467i
\(708\) 7.11000 26.5349i 0.267210 0.997241i
\(709\) 0.109951 + 0.410342i 0.00412929 + 0.0154107i 0.967960 0.251105i \(-0.0807941\pi\)
−0.963830 + 0.266516i \(0.914127\pi\)
\(710\) −5.99280 + 1.60577i −0.224906 + 0.0602633i
\(711\) −73.5935 −2.75997
\(712\) 5.38434 0.201787
\(713\) −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
\(717\) −71.5355 19.1679i −2.67154 0.715837i
\(718\) 28.2019 + 48.8471i 1.05248 + 1.82296i
\(719\) −2.75054 + 4.76407i −0.102578 + 0.177670i −0.912746 0.408528i \(-0.866042\pi\)
0.810168 + 0.586197i \(0.199376\pi\)
\(720\) 24.8342 24.8342i 0.925516 0.925516i
\(721\) 22.9582 3.34840i 0.855009 0.124701i
\(722\) 5.69451 + 1.52584i 0.211928 + 0.0567859i
\(723\) −30.7682 8.24432i −1.14428 0.306610i
\(724\) 19.0448i 0.707796i
\(725\) 30.1064 17.3819i 1.11812 0.645549i
\(726\) 43.3132 + 43.3132i 1.60750 + 1.60750i
\(727\) 10.8373 0.401935 0.200967 0.979598i \(-0.435591\pi\)
0.200967 + 0.979598i \(0.435591\pi\)
\(728\) 5.68173 + 10.7165i 0.210579 + 0.397178i
\(729\) 13.2908 0.492253
\(730\) 0.175896 + 0.175896i 0.00651021 + 0.00651021i
\(731\) −2.31048 + 1.33395i −0.0854561 + 0.0493381i
\(732\) 31.0816i 1.14881i
\(733\) 29.0463 + 7.78294i 1.07285 + 0.287469i 0.751664 0.659547i \(-0.229252\pi\)
0.321187 + 0.947016i \(0.395918\pi\)
\(734\) −4.59604 1.23150i −0.169643 0.0454557i
\(735\) 21.0454 + 11.3811i 0.776270 + 0.419800i
\(736\) 2.21814 2.21814i 0.0817617 0.0817617i
\(737\) −0.0786492 + 0.136224i −0.00289708 + 0.00501789i
\(738\) −52.1964 90.4068i −1.92138 3.32792i
\(739\) −43.9327 11.7717i −1.61609 0.433030i −0.666241 0.745737i \(-0.732098\pi\)
−0.949850 + 0.312707i \(0.898764\pi\)
\(740\) −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 \(0.725044\pi\)
\(744\) 27.9671 1.02532
\(745\) 0.479790 0.0175782
\(746\) −62.8822 + 16.8492i −2.30228 + 0.616894i
\(747\) 18.9778 + 70.8261i 0.694361 + 2.59139i
\(748\) 0.0118342 0.0441659i 0.000432702 0.00161486i
\(749\) 2.63944 6.63194i 0.0964432 0.242326i
\(750\) 27.1972 + 47.1069i 0.993100 + 1.72010i
\(751\) 16.7889i 0.612636i −0.951929 0.306318i \(-0.900903\pi\)
0.951929 0.306318i \(-0.0990971\pi\)
\(752\) −7.44669 + 27.7914i −0.271553 + 1.01345i
\(753\) 24.2576 + 14.0052i 0.883997 + 0.510376i
\(754\) −57.0304 + 20.3458i −2.07692 + 0.740950i
\(755\) 3.94980i 0.143748i
\(756\) 13.3726 33.6004i 0.486358 1.22204i
\(757\) 7.76400 13.4476i 0.282187 0.488763i −0.689736 0.724061i \(-0.742273\pi\)
0.971923 + 0.235298i \(0.0756067\pi\)
\(758\) −36.2652 20.9377i −1.31721 0.760493i
\(759\) 0.0502537 + 0.187549i 0.00182409 + 0.00680761i
\(760\) −3.97324 3.97324i −0.144124 0.144124i
\(761\) −38.7077 + 10.3717i −1.40315 + 0.375974i −0.879477 0.475942i \(-0.842107\pi\)
−0.523678 + 0.851916i \(0.675441\pi\)
\(762\) 6.88985 + 6.88985i 0.249593 + 0.249593i
\(763\) 2.86952 24.4195i 0.103884 0.884045i
\(764\) −6.79206 3.92140i −0.245728 0.141871i
\(765\) −1.38369 + 1.38369i −0.0500276 + 0.0500276i
\(766\) −11.8520 + 20.5283i −0.428230 + 0.741716i
\(767\) 18.9086 + 16.0731i 0.682748 + 0.580365i
\(768\) −55.4978 + 32.0417i −2.00260 + 1.15620i
\(769\) −12.5630 46.8857i −0.453033 1.69074i −0.693807 0.720161i \(-0.744068\pi\)
0.240774 0.970581i \(-0.422599\pi\)
\(770\) −0.683243 0.0802876i −0.0246224 0.00289336i
\(771\) 81.6636 47.1485i 2.94104 1.69801i
\(772\) 0.138317 0.516206i 0.00497813 0.0185786i
\(773\) 33.2811 33.2811i 1.19704 1.19704i 0.221987 0.975050i \(-0.428746\pi\)
0.975050 0.221987i