Properties

Label 273.2.cg.a.115.5
Level $273$
Weight $2$
Character 273.115
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.5
Character \(\chi\) \(=\) 273.115
Dual form 273.2.cg.a.19.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.511829 + 0.137144i) q^{2} +1.00000i q^{3} +(-1.48889 + 0.859611i) q^{4} +(-2.03763 - 0.545981i) q^{5} +(-0.137144 - 0.511829i) q^{6} +(0.917679 - 2.48150i) q^{7} +(1.39354 - 1.39354i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.511829 + 0.137144i) q^{2} +1.00000i q^{3} +(-1.48889 + 0.859611i) q^{4} +(-2.03763 - 0.545981i) q^{5} +(-0.137144 - 0.511829i) q^{6} +(0.917679 - 2.48150i) q^{7} +(1.39354 - 1.39354i) q^{8} -1.00000 q^{9} +1.11780 q^{10} +(-2.03793 + 2.03793i) q^{11} +(-0.859611 - 1.48889i) q^{12} +(-2.80107 - 2.27024i) q^{13} +(-0.129371 + 1.39596i) q^{14} +(0.545981 - 2.03763i) q^{15} +(1.19709 - 2.07341i) q^{16} +(-1.64880 - 2.85581i) q^{17} +(0.511829 - 0.137144i) q^{18} +(4.78288 - 4.78288i) q^{19} +(3.50314 - 0.938663i) q^{20} +(2.48150 + 0.917679i) q^{21} +(0.763581 - 1.32256i) q^{22} +(-6.79410 - 3.92258i) q^{23} +(1.39354 + 1.39354i) q^{24} +(-0.476290 - 0.274986i) q^{25} +(1.74502 + 0.777826i) q^{26} -1.00000i q^{27} +(0.766806 + 4.48354i) q^{28} +(0.677462 + 1.17340i) q^{29} +1.11780i q^{30} +(1.71085 + 6.38499i) q^{31} +(-1.34849 + 5.03262i) q^{32} +(-2.03793 - 2.03793i) q^{33} +(1.23556 + 1.23556i) q^{34} +(-3.22474 + 4.55535i) q^{35} +(1.48889 - 0.859611i) q^{36} +(1.05363 + 3.93218i) q^{37} +(-1.79207 + 3.10396i) q^{38} +(2.27024 - 2.80107i) q^{39} +(-3.60036 + 2.07867i) q^{40} +(-6.61712 - 1.77305i) q^{41} +(-1.39596 - 0.129371i) q^{42} +(-4.36301 - 2.51899i) q^{43} +(1.28243 - 4.78608i) q^{44} +(2.03763 + 0.545981i) q^{45} +(4.01538 + 1.07592i) q^{46} +(-0.947124 + 3.53471i) q^{47} +(2.07341 + 1.19709i) q^{48} +(-5.31573 - 4.55445i) q^{49} +(0.281492 + 0.0754255i) q^{50} +(2.85581 - 1.64880i) q^{51} +(6.12201 + 0.972311i) q^{52} +(-3.87961 + 6.71968i) q^{53} +(0.137144 + 0.511829i) q^{54} +(5.26521 - 3.03987i) q^{55} +(-2.17925 - 4.73689i) q^{56} +(4.78288 + 4.78288i) q^{57} +(-0.507670 - 0.507670i) q^{58} +(0.737061 - 2.75075i) q^{59} +(0.938663 + 3.50314i) q^{60} +3.63687i q^{61} +(-1.75133 - 3.03339i) q^{62} +(-0.917679 + 2.48150i) q^{63} +2.02756i q^{64} +(4.46803 + 6.15525i) q^{65} +(1.32256 + 0.763581i) q^{66} +(-1.33686 - 1.33686i) q^{67} +(4.90977 + 2.83466i) q^{68} +(3.92258 - 6.79410i) q^{69} +(1.02578 - 2.77382i) q^{70} +(-9.87427 + 2.64580i) q^{71} +(-1.39354 + 1.39354i) q^{72} +(6.80337 - 1.82296i) q^{73} +(-1.07855 - 1.86811i) q^{74} +(0.274986 - 0.476290i) q^{75} +(-3.00977 + 11.2326i) q^{76} +(3.18696 + 6.92729i) q^{77} +(-0.777826 + 1.74502i) q^{78} +(-1.13108 - 1.95909i) q^{79} +(-3.57126 + 3.57126i) q^{80} +1.00000 q^{81} +3.63000 q^{82} +(3.97225 - 3.97225i) q^{83} +(-4.48354 + 0.766806i) q^{84} +(1.80043 + 6.71929i) q^{85} +(2.57858 + 0.690929i) q^{86} +(-1.17340 + 0.677462i) q^{87} +5.67985i q^{88} +(11.9316 - 3.19707i) q^{89} -1.11780 q^{90} +(-8.20410 + 4.86751i) q^{91} +13.4876 q^{92} +(-6.38499 + 1.71085i) q^{93} -1.93906i q^{94} +(-12.3571 + 7.13438i) q^{95} +(-5.03262 - 1.34849i) q^{96} +(-3.94107 - 14.7083i) q^{97} +(3.34536 + 1.60208i) q^{98} +(2.03793 - 2.03793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.511829 + 0.137144i −0.361918 + 0.0969756i −0.435196 0.900336i \(-0.643321\pi\)
0.0732776 + 0.997312i \(0.476654\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −1.48889 + 0.859611i −0.744445 + 0.429806i
\(5\) −2.03763 0.545981i −0.911255 0.244170i −0.227412 0.973799i \(-0.573026\pi\)
−0.683844 + 0.729629i \(0.739693\pi\)
\(6\) −0.137144 0.511829i −0.0559889 0.208953i
\(7\) 0.917679 2.48150i 0.346850 0.937921i
\(8\) 1.39354 1.39354i 0.492690 0.492690i
\(9\) −1.00000 −0.333333
\(10\) 1.11780 0.353478
\(11\) −2.03793 + 2.03793i −0.614458 + 0.614458i −0.944105 0.329646i \(-0.893071\pi\)
0.329646 + 0.944105i \(0.393071\pi\)
\(12\) −0.859611 1.48889i −0.248148 0.429806i
\(13\) −2.80107 2.27024i −0.776877 0.629652i
\(14\) −0.129371 + 1.39596i −0.0345758 + 0.373086i
\(15\) 0.545981 2.03763i 0.140972 0.526114i
\(16\) 1.19709 2.07341i 0.299271 0.518353i
\(17\) −1.64880 2.85581i −0.399893 0.692635i 0.593819 0.804599i \(-0.297619\pi\)
−0.993712 + 0.111963i \(0.964286\pi\)
\(18\) 0.511829 0.137144i 0.120639 0.0323252i
\(19\) 4.78288 4.78288i 1.09727 1.09727i 0.102539 0.994729i \(-0.467303\pi\)
0.994729 0.102539i \(-0.0326968\pi\)
\(20\) 3.50314 0.938663i 0.783325 0.209891i
\(21\) 2.48150 + 0.917679i 0.541509 + 0.200254i
\(22\) 0.763581 1.32256i 0.162796 0.281971i
\(23\) −6.79410 3.92258i −1.41667 0.817914i −0.420664 0.907217i \(-0.638203\pi\)
−0.996005 + 0.0893026i \(0.971536\pi\)
\(24\) 1.39354 + 1.39354i 0.284454 + 0.284454i
\(25\) −0.476290 0.274986i −0.0952579 0.0549972i
\(26\) 1.74502 + 0.777826i 0.342227 + 0.152544i
\(27\) 1.00000i 0.192450i
\(28\) 0.766806 + 4.48354i 0.144913 + 0.847308i
\(29\) 0.677462 + 1.17340i 0.125802 + 0.217895i 0.922046 0.387080i \(-0.126516\pi\)
−0.796244 + 0.604975i \(0.793183\pi\)
\(30\) 1.11780i 0.204081i
\(31\) 1.71085 + 6.38499i 0.307278 + 1.14678i 0.930966 + 0.365105i \(0.118967\pi\)
−0.623688 + 0.781673i \(0.714366\pi\)
\(32\) −1.34849 + 5.03262i −0.238381 + 0.889650i
\(33\) −2.03793 2.03793i −0.354758 0.354758i
\(34\) 1.23556 + 1.23556i 0.211897 + 0.211897i
\(35\) −3.22474 + 4.55535i −0.545081 + 0.769995i
\(36\) 1.48889 0.859611i 0.248148 0.143269i
\(37\) 1.05363 + 3.93218i 0.173215 + 0.646447i 0.996849 + 0.0793250i \(0.0252765\pi\)
−0.823634 + 0.567122i \(0.808057\pi\)
\(38\) −1.79207 + 3.10396i −0.290713 + 0.503529i
\(39\) 2.27024 2.80107i 0.363530 0.448530i
\(40\) −3.60036 + 2.07867i −0.569266 + 0.328666i
\(41\) −6.61712 1.77305i −1.03342 0.276904i −0.298036 0.954555i \(-0.596332\pi\)
−0.735384 + 0.677651i \(0.762998\pi\)
\(42\) −1.39596 0.129371i −0.215401 0.0199624i
\(43\) −4.36301 2.51899i −0.665353 0.384142i 0.128961 0.991650i \(-0.458836\pi\)
−0.794314 + 0.607508i \(0.792169\pi\)
\(44\) 1.28243 4.78608i 0.193333 0.721528i
\(45\) 2.03763 + 0.545981i 0.303752 + 0.0813901i
\(46\) 4.01538 + 1.07592i 0.592035 + 0.158635i
\(47\) −0.947124 + 3.53471i −0.138152 + 0.515591i 0.861813 + 0.507226i \(0.169329\pi\)
−0.999965 + 0.00836456i \(0.997337\pi\)
\(48\) 2.07341 + 1.19709i 0.299271 + 0.172784i
\(49\) −5.31573 4.55445i −0.759390 0.650636i
\(50\) 0.281492 + 0.0754255i 0.0398089 + 0.0106668i
\(51\) 2.85581 1.64880i 0.399893 0.230878i
\(52\) 6.12201 + 0.972311i 0.848970 + 0.134835i
\(53\) −3.87961 + 6.71968i −0.532905 + 0.923019i 0.466356 + 0.884597i \(0.345567\pi\)
−0.999262 + 0.0384223i \(0.987767\pi\)
\(54\) 0.137144 + 0.511829i 0.0186630 + 0.0696511i
\(55\) 5.26521 3.03987i 0.709961 0.409896i
\(56\) −2.17925 4.73689i −0.291214 0.632993i
\(57\) 4.78288 + 4.78288i 0.633508 + 0.633508i
\(58\) −0.507670 0.507670i −0.0666603 0.0666603i
\(59\) 0.737061 2.75075i 0.0959571 0.358117i −0.901206 0.433392i \(-0.857317\pi\)
0.997163 + 0.0752747i \(0.0239834\pi\)
\(60\) 0.938663 + 3.50314i 0.121181 + 0.452253i
\(61\) 3.63687i 0.465653i 0.972518 + 0.232827i \(0.0747975\pi\)
−0.972518 + 0.232827i \(0.925203\pi\)
\(62\) −1.75133 3.03339i −0.222419 0.385241i
\(63\) −0.917679 + 2.48150i −0.115617 + 0.312640i
\(64\) 2.02756i 0.253445i
\(65\) 4.46803 + 6.15525i 0.554191 + 0.763464i
\(66\) 1.32256 + 0.763581i 0.162796 + 0.0939903i
\(67\) −1.33686 1.33686i −0.163324 0.163324i 0.620714 0.784037i \(-0.286843\pi\)
−0.784037 + 0.620714i \(0.786843\pi\)
\(68\) 4.90977 + 2.83466i 0.595397 + 0.343753i
\(69\) 3.92258 6.79410i 0.472223 0.817914i
\(70\) 1.02578 2.77382i 0.122604 0.331534i
\(71\) −9.87427 + 2.64580i −1.17186 + 0.313999i −0.791693 0.610919i \(-0.790800\pi\)
−0.380167 + 0.924918i \(0.624134\pi\)
\(72\) −1.39354 + 1.39354i −0.164230 + 0.164230i
\(73\) 6.80337 1.82296i 0.796274 0.213361i 0.162326 0.986737i \(-0.448100\pi\)
0.633947 + 0.773376i \(0.281434\pi\)
\(74\) −1.07855 1.86811i −0.125379 0.217163i
\(75\) 0.274986 0.476290i 0.0317526 0.0549972i
\(76\) −3.00977 + 11.2326i −0.345244 + 1.28847i
\(77\) 3.18696 + 6.92729i 0.363188 + 0.789438i
\(78\) −0.777826 + 1.74502i −0.0880715 + 0.197585i
\(79\) −1.13108 1.95909i −0.127256 0.220414i 0.795356 0.606142i \(-0.207284\pi\)
−0.922613 + 0.385728i \(0.873950\pi\)
\(80\) −3.57126 + 3.57126i −0.399279 + 0.399279i
\(81\) 1.00000 0.111111
\(82\) 3.63000 0.400866
\(83\) 3.97225 3.97225i 0.436011 0.436011i −0.454656 0.890667i \(-0.650238\pi\)
0.890667 + 0.454656i \(0.150238\pi\)
\(84\) −4.48354 + 0.766806i −0.489194 + 0.0836654i
\(85\) 1.80043 + 6.71929i 0.195284 + 0.728810i
\(86\) 2.57858 + 0.690929i 0.278056 + 0.0745048i
\(87\) −1.17340 + 0.677462i −0.125802 + 0.0726316i
\(88\) 5.67985i 0.605475i
\(89\) 11.9316 3.19707i 1.26475 0.338889i 0.436732 0.899591i \(-0.356136\pi\)
0.828017 + 0.560703i \(0.189469\pi\)
\(90\) −1.11780 −0.117826
\(91\) −8.20410 + 4.86751i −0.860024 + 0.510254i
\(92\) 13.4876 1.40618
\(93\) −6.38499 + 1.71085i −0.662093 + 0.177407i
\(94\) 1.93906i 0.199999i
\(95\) −12.3571 + 7.13438i −1.26781 + 0.731972i
\(96\) −5.03262 1.34849i −0.513640 0.137629i
\(97\) −3.94107 14.7083i −0.400155 1.49340i −0.812819 0.582516i \(-0.802068\pi\)
0.412664 0.910883i \(-0.364598\pi\)
\(98\) 3.34536 + 1.60208i 0.337933 + 0.161834i
\(99\) 2.03793 2.03793i 0.204819 0.204819i
\(100\) 0.945524 0.0945524
\(101\) 8.37472 0.833316 0.416658 0.909063i \(-0.363201\pi\)
0.416658 + 0.909063i \(0.363201\pi\)
\(102\) −1.23556 + 1.23556i −0.122339 + 0.122339i
\(103\) −3.94643 6.83541i −0.388853 0.673513i 0.603442 0.797407i \(-0.293795\pi\)
−0.992296 + 0.123893i \(0.960462\pi\)
\(104\) −7.06706 + 0.739728i −0.692982 + 0.0725363i
\(105\) −4.55535 3.22474i −0.444557 0.314703i
\(106\) 1.06413 3.97140i 0.103358 0.385736i
\(107\) 10.0079 17.3341i 0.967497 1.67575i 0.264746 0.964318i \(-0.414712\pi\)
0.702751 0.711436i \(-0.251955\pi\)
\(108\) 0.859611 + 1.48889i 0.0827161 + 0.143269i
\(109\) 6.75874 1.81100i 0.647370 0.173462i 0.0798304 0.996808i \(-0.474562\pi\)
0.567539 + 0.823346i \(0.307895\pi\)
\(110\) −2.27799 + 2.27799i −0.217198 + 0.217198i
\(111\) −3.93218 + 1.05363i −0.373226 + 0.100006i
\(112\) −4.04664 4.87330i −0.382372 0.460483i
\(113\) 2.05899 3.56627i 0.193693 0.335486i −0.752778 0.658274i \(-0.771287\pi\)
0.946471 + 0.322788i \(0.104620\pi\)
\(114\) −3.10396 1.79207i −0.290713 0.167843i
\(115\) 11.7022 + 11.7022i 1.09124 + 1.09124i
\(116\) −2.01733 1.16471i −0.187305 0.108140i
\(117\) 2.80107 + 2.27024i 0.258959 + 0.209884i
\(118\) 1.50900i 0.138914i
\(119\) −8.59977 + 1.47079i −0.788340 + 0.134827i
\(120\) −2.07867 3.60036i −0.189755 0.328666i
\(121\) 2.69370i 0.244882i
\(122\) −0.498775 1.86145i −0.0451570 0.168528i
\(123\) 1.77305 6.61712i 0.159871 0.596645i
\(124\) −8.03588 8.03588i −0.721643 0.721643i
\(125\) 8.27861 + 8.27861i 0.740461 + 0.740461i
\(126\) 0.129371 1.39596i 0.0115253 0.124362i
\(127\) −15.0417 + 8.68434i −1.33474 + 0.770611i −0.986022 0.166618i \(-0.946715\pi\)
−0.348716 + 0.937229i \(0.613382\pi\)
\(128\) −2.97504 11.1030i −0.262959 0.981376i
\(129\) 2.51899 4.36301i 0.221784 0.384142i
\(130\) −3.13103 2.53767i −0.274609 0.222568i
\(131\) 6.59348 3.80675i 0.576075 0.332597i −0.183497 0.983020i \(-0.558742\pi\)
0.759572 + 0.650423i \(0.225408\pi\)
\(132\) 4.78608 + 1.28243i 0.416575 + 0.111621i
\(133\) −7.47959 16.2579i −0.648563 1.40974i
\(134\) 0.867588 + 0.500902i 0.0749482 + 0.0432714i
\(135\) −0.545981 + 2.03763i −0.0469906 + 0.175371i
\(136\) −6.27734 1.68201i −0.538277 0.144231i
\(137\) −15.1843 4.06862i −1.29728 0.347606i −0.456860 0.889538i \(-0.651026\pi\)
−0.840422 + 0.541933i \(0.817693\pi\)
\(138\) −1.07592 + 4.01538i −0.0915882 + 0.341812i
\(139\) −16.0562 9.27005i −1.36187 0.786275i −0.371996 0.928234i \(-0.621326\pi\)
−0.989873 + 0.141959i \(0.954660\pi\)
\(140\) 0.885460 9.55444i 0.0748350 0.807498i
\(141\) −3.53471 0.947124i −0.297677 0.0797622i
\(142\) 4.69109 2.70840i 0.393667 0.227284i
\(143\) 10.3350 1.08179i 0.864254 0.0904637i
\(144\) −1.19709 + 2.07341i −0.0997571 + 0.172784i
\(145\) −0.739763 2.76083i −0.0614340 0.229275i
\(146\) −3.23215 + 1.86608i −0.267495 + 0.154438i
\(147\) 4.55445 5.31573i 0.375645 0.438434i
\(148\) −4.94888 4.94888i −0.406795 0.406795i
\(149\) 15.6133 + 15.6133i 1.27909 + 1.27909i 0.941176 + 0.337917i \(0.109722\pi\)
0.337917 + 0.941176i \(0.390278\pi\)
\(150\) −0.0754255 + 0.281492i −0.00615846 + 0.0229837i
\(151\) 4.61110 + 17.2088i 0.375246 + 1.40044i 0.852986 + 0.521935i \(0.174789\pi\)
−0.477740 + 0.878501i \(0.658544\pi\)
\(152\) 13.3302i 1.08123i
\(153\) 1.64880 + 2.85581i 0.133298 + 0.230878i
\(154\) −2.58122 3.10852i −0.208001 0.250491i
\(155\) 13.9443i 1.12004i
\(156\) −0.972311 + 6.12201i −0.0778472 + 0.490153i
\(157\) 3.29871 + 1.90451i 0.263265 + 0.151996i 0.625823 0.779965i \(-0.284763\pi\)
−0.362558 + 0.931961i \(0.618096\pi\)
\(158\) 0.847596 + 0.847596i 0.0674311 + 0.0674311i
\(159\) −6.71968 3.87961i −0.532905 0.307673i
\(160\) 5.49543 9.51836i 0.434452 0.752493i
\(161\) −15.9687 + 13.2599i −1.25851 + 1.04503i
\(162\) −0.511829 + 0.137144i −0.0402131 + 0.0107751i
\(163\) −5.61169 + 5.61169i −0.439541 + 0.439541i −0.891858 0.452316i \(-0.850598\pi\)
0.452316 + 0.891858i \(0.350598\pi\)
\(164\) 11.3763 3.04827i 0.888339 0.238030i
\(165\) 3.03987 + 5.26521i 0.236654 + 0.409896i
\(166\) −1.48834 + 2.57788i −0.115518 + 0.200082i
\(167\) 2.98897 11.1550i 0.231294 0.863200i −0.748491 0.663145i \(-0.769221\pi\)
0.979785 0.200055i \(-0.0641120\pi\)
\(168\) 4.73689 2.17925i 0.365459 0.168133i
\(169\) 2.69199 + 12.7182i 0.207076 + 0.978325i
\(170\) −1.84302 3.19221i −0.141354 0.244832i
\(171\) −4.78288 + 4.78288i −0.365756 + 0.365756i
\(172\) 8.66139 0.660425
\(173\) 19.0583 1.44897 0.724486 0.689289i \(-0.242077\pi\)
0.724486 + 0.689289i \(0.242077\pi\)
\(174\) 0.507670 0.507670i 0.0384864 0.0384864i
\(175\) −1.11946 + 0.929566i −0.0846232 + 0.0702686i
\(176\) 1.78589 + 6.66504i 0.134617 + 0.502396i
\(177\) 2.75075 + 0.737061i 0.206759 + 0.0554009i
\(178\) −5.66849 + 3.27271i −0.424872 + 0.245300i
\(179\) 10.8477i 0.810799i −0.914140 0.405399i \(-0.867132\pi\)
0.914140 0.405399i \(-0.132868\pi\)
\(180\) −3.50314 + 0.938663i −0.261108 + 0.0699638i
\(181\) 5.71631 0.424890 0.212445 0.977173i \(-0.431857\pi\)
0.212445 + 0.977173i \(0.431857\pi\)
\(182\) 3.53155 3.61648i 0.261776 0.268071i
\(183\) −3.63687 −0.268845
\(184\) −14.9341 + 4.00158i −1.10096 + 0.295000i
\(185\) 8.58759i 0.631372i
\(186\) 3.03339 1.75133i 0.222419 0.128414i
\(187\) 9.18007 + 2.45979i 0.671313 + 0.179878i
\(188\) −1.62832 6.07696i −0.118757 0.443208i
\(189\) −2.48150 0.917679i −0.180503 0.0667513i
\(190\) 5.34629 5.34629i 0.387860 0.387860i
\(191\) −23.0051 −1.66459 −0.832294 0.554335i \(-0.812973\pi\)
−0.832294 + 0.554335i \(0.812973\pi\)
\(192\) −2.02756 −0.146327
\(193\) −3.52631 + 3.52631i −0.253829 + 0.253829i −0.822539 0.568709i \(-0.807443\pi\)
0.568709 + 0.822539i \(0.307443\pi\)
\(194\) 4.03431 + 6.98763i 0.289647 + 0.501683i
\(195\) −6.15525 + 4.46803i −0.440786 + 0.319963i
\(196\) 11.8296 + 2.21161i 0.844971 + 0.157972i
\(197\) 1.17127 4.37125i 0.0834496 0.311438i −0.911566 0.411153i \(-0.865126\pi\)
0.995016 + 0.0997145i \(0.0317929\pi\)
\(198\) −0.763581 + 1.32256i −0.0542653 + 0.0939903i
\(199\) −10.9036 18.8855i −0.772934 1.33876i −0.935949 0.352137i \(-0.885455\pi\)
0.163015 0.986624i \(-0.447878\pi\)
\(200\) −1.04693 + 0.280524i −0.0740292 + 0.0198361i
\(201\) 1.33686 1.33686i 0.0942950 0.0942950i
\(202\) −4.28643 + 1.14855i −0.301592 + 0.0808114i
\(203\) 3.53349 0.604322i 0.248002 0.0424151i
\(204\) −2.83466 + 4.90977i −0.198466 + 0.343753i
\(205\) 12.5152 + 7.22564i 0.874098 + 0.504661i
\(206\) 2.95733 + 2.95733i 0.206047 + 0.206047i
\(207\) 6.79410 + 3.92258i 0.472223 + 0.272638i
\(208\) −8.06027 + 3.09010i −0.558879 + 0.214260i
\(209\) 19.4943i 1.34845i
\(210\) 2.77382 + 1.02578i 0.191412 + 0.0707854i
\(211\) 5.12257 + 8.87255i 0.352652 + 0.610811i 0.986713 0.162472i \(-0.0519466\pi\)
−0.634061 + 0.773283i \(0.718613\pi\)
\(212\) 13.3398i 0.916183i
\(213\) −2.64580 9.87427i −0.181288 0.676574i
\(214\) −2.74504 + 10.2446i −0.187647 + 0.700309i
\(215\) 7.51488 + 7.51488i 0.512511 + 0.512511i
\(216\) −1.39354 1.39354i −0.0948182 0.0948182i
\(217\) 17.4144 + 1.61388i 1.18217 + 0.109557i
\(218\) −3.21095 + 1.85384i −0.217473 + 0.125558i
\(219\) 1.82296 + 6.80337i 0.123184 + 0.459729i
\(220\) −5.22621 + 9.05207i −0.352351 + 0.610290i
\(221\) −1.86497 + 11.7425i −0.125451 + 0.789886i
\(222\) 1.86811 1.07855i 0.125379 0.0723877i
\(223\) 20.9821 + 5.62213i 1.40506 + 0.376486i 0.880161 0.474675i \(-0.157435\pi\)
0.524904 + 0.851161i \(0.324101\pi\)
\(224\) 11.2510 + 7.96460i 0.751738 + 0.532158i
\(225\) 0.476290 + 0.274986i 0.0317526 + 0.0183324i
\(226\) −0.564756 + 2.10770i −0.0375670 + 0.140202i
\(227\) −11.2825 3.02314i −0.748848 0.200653i −0.135841 0.990731i \(-0.543374\pi\)
−0.613007 + 0.790078i \(0.710040\pi\)
\(228\) −11.2326 3.00977i −0.743897 0.199327i
\(229\) −1.25682 + 4.69053i −0.0830532 + 0.309959i −0.994938 0.100487i \(-0.967960\pi\)
0.911885 + 0.410445i \(0.134627\pi\)
\(230\) −7.59442 4.38464i −0.500761 0.289115i
\(231\) −6.92729 + 3.18696i −0.455782 + 0.209687i
\(232\) 2.57924 + 0.691106i 0.169336 + 0.0453733i
\(233\) −1.91696 + 1.10676i −0.125584 + 0.0725060i −0.561476 0.827493i \(-0.689766\pi\)
0.435892 + 0.899999i \(0.356433\pi\)
\(234\) −1.74502 0.777826i −0.114076 0.0508481i
\(235\) 3.85977 6.68532i 0.251784 0.436102i
\(236\) 1.26717 + 4.72915i 0.0824858 + 0.307841i
\(237\) 1.95909 1.13108i 0.127256 0.0734715i
\(238\) 4.19990 1.93220i 0.272239 0.125246i
\(239\) −5.82013 5.82013i −0.376473 0.376473i 0.493355 0.869828i \(-0.335770\pi\)
−0.869828 + 0.493355i \(0.835770\pi\)
\(240\) −3.57126 3.57126i −0.230524 0.230524i
\(241\) 3.76485 14.0506i 0.242515 0.905079i −0.732101 0.681196i \(-0.761460\pi\)
0.974616 0.223883i \(-0.0718733\pi\)
\(242\) −0.369425 1.37871i −0.0237476 0.0886271i
\(243\) 1.00000i 0.0641500i
\(244\) −3.12629 5.41490i −0.200140 0.346653i
\(245\) 8.34484 + 12.1826i 0.533132 + 0.778316i
\(246\) 3.63000i 0.231440i
\(247\) −24.2555 + 2.53889i −1.54334 + 0.161545i
\(248\) 11.2819 + 6.51358i 0.716399 + 0.413613i
\(249\) 3.97225 + 3.97225i 0.251731 + 0.251731i
\(250\) −5.37259 3.10187i −0.339793 0.196179i
\(251\) −10.7479 + 18.6160i −0.678403 + 1.17503i 0.297058 + 0.954859i \(0.403994\pi\)
−0.975462 + 0.220169i \(0.929339\pi\)
\(252\) −0.766806 4.48354i −0.0483042 0.282436i
\(253\) 21.8398 5.85196i 1.37306 0.367910i
\(254\) 6.50779 6.50779i 0.408335 0.408335i
\(255\) −6.71929 + 1.80043i −0.420779 + 0.112747i
\(256\) 1.01786 + 1.76299i 0.0636165 + 0.110187i
\(257\) −3.77139 + 6.53224i −0.235253 + 0.407470i −0.959346 0.282232i \(-0.908925\pi\)
0.724093 + 0.689702i \(0.242258\pi\)
\(258\) −0.690929 + 2.57858i −0.0430153 + 0.160535i
\(259\) 10.7246 + 0.993906i 0.666395 + 0.0617583i
\(260\) −11.9435 5.32371i −0.740706 0.330163i
\(261\) −0.677462 1.17340i −0.0419339 0.0726316i
\(262\) −2.85266 + 2.85266i −0.176238 + 0.176238i
\(263\) 23.8379 1.46991 0.734955 0.678115i \(-0.237203\pi\)
0.734955 + 0.678115i \(0.237203\pi\)
\(264\) −5.67985 −0.349571
\(265\) 11.5740 11.5740i 0.710987 0.710987i
\(266\) 6.05795 + 7.29548i 0.371437 + 0.447315i
\(267\) 3.19707 + 11.9316i 0.195657 + 0.730203i
\(268\) 3.13962 + 0.841260i 0.191783 + 0.0513881i
\(269\) −23.9283 + 13.8150i −1.45893 + 0.842316i −0.998959 0.0456166i \(-0.985475\pi\)
−0.459974 + 0.887932i \(0.652141\pi\)
\(270\) 1.11780i 0.0680269i
\(271\) −19.9776 + 5.35298i −1.21355 + 0.325170i −0.808155 0.588970i \(-0.799533\pi\)
−0.405397 + 0.914141i \(0.632867\pi\)
\(272\) −7.89502 −0.478706
\(273\) −4.86751 8.20410i −0.294595 0.496535i
\(274\) 8.32976 0.503219
\(275\) 1.53105 0.410242i 0.0923255 0.0247386i
\(276\) 13.4876i 0.811856i
\(277\) 7.78035 4.49199i 0.467476 0.269897i −0.247707 0.968835i \(-0.579677\pi\)
0.715183 + 0.698938i \(0.246344\pi\)
\(278\) 9.48936 + 2.54267i 0.569134 + 0.152499i
\(279\) −1.71085 6.38499i −0.102426 0.382259i
\(280\) 1.85425 + 10.8418i 0.110813 + 0.647924i
\(281\) 13.3221 13.3221i 0.794731 0.794731i −0.187528 0.982259i \(-0.560048\pi\)
0.982259 + 0.187528i \(0.0600476\pi\)
\(282\) 1.93906 0.115469
\(283\) −19.3973 −1.15305 −0.576525 0.817080i \(-0.695592\pi\)
−0.576525 + 0.817080i \(0.695592\pi\)
\(284\) 12.4273 12.4273i 0.737427 0.737427i
\(285\) −7.13438 12.3571i −0.422604 0.731972i
\(286\) −5.14138 + 1.97107i −0.304016 + 0.116552i
\(287\) −10.4722 + 14.7933i −0.618156 + 0.873222i
\(288\) 1.34849 5.03262i 0.0794603 0.296550i
\(289\) 3.06290 5.30511i 0.180171 0.312065i
\(290\) 0.757265 + 1.31162i 0.0444681 + 0.0770210i
\(291\) 14.7083 3.94107i 0.862215 0.231030i
\(292\) −8.56243 + 8.56243i −0.501078 + 0.501078i
\(293\) 25.2467 6.76482i 1.47493 0.395205i 0.570309 0.821431i \(-0.306824\pi\)
0.904617 + 0.426225i \(0.140157\pi\)
\(294\) −1.60208 + 3.34536i −0.0934351 + 0.195105i
\(295\) −3.00371 + 5.20258i −0.174883 + 0.302906i
\(296\) 6.94791 + 4.01138i 0.403839 + 0.233156i
\(297\) 2.03793 + 2.03793i 0.118253 + 0.118253i
\(298\) −10.1326 5.85008i −0.586967 0.338886i
\(299\) 10.1256 + 26.4117i 0.585576 + 1.52743i
\(300\) 0.945524i 0.0545899i
\(301\) −10.2547 + 8.51521i −0.591072 + 0.490809i
\(302\) −4.72019 8.17560i −0.271616 0.470453i
\(303\) 8.37472i 0.481115i
\(304\) −4.19137 15.6424i −0.240391 0.897153i
\(305\) 1.98566 7.41059i 0.113699 0.424329i
\(306\) −1.23556 1.23556i −0.0706324 0.0706324i
\(307\) −1.58354 1.58354i −0.0903771 0.0903771i 0.660473 0.750850i \(-0.270356\pi\)
−0.750850 + 0.660473i \(0.770356\pi\)
\(308\) −10.6998 7.57443i −0.609679 0.431593i
\(309\) 6.83541 3.94643i 0.388853 0.224504i
\(310\) 1.91239 + 7.13712i 0.108616 + 0.405361i
\(311\) 7.59574 13.1562i 0.430715 0.746020i −0.566220 0.824254i \(-0.691595\pi\)
0.996935 + 0.0782342i \(0.0249282\pi\)
\(312\) −0.739728 7.06706i −0.0418788 0.400094i
\(313\) −2.66705 + 1.53982i −0.150750 + 0.0870358i −0.573478 0.819221i \(-0.694406\pi\)
0.422727 + 0.906257i \(0.361073\pi\)
\(314\) −1.94957 0.522385i −0.110020 0.0294799i
\(315\) 3.22474 4.55535i 0.181694 0.256665i
\(316\) 3.36810 + 1.94458i 0.189471 + 0.109391i
\(317\) 2.12956 7.94761i 0.119608 0.446382i −0.879982 0.475006i \(-0.842446\pi\)
0.999590 + 0.0286238i \(0.00911247\pi\)
\(318\) 3.97140 + 1.06413i 0.222705 + 0.0596736i
\(319\) −3.77192 1.01068i −0.211187 0.0565874i
\(320\) 1.10701 4.13142i 0.0618838 0.230953i
\(321\) 17.3341 + 10.0079i 0.967497 + 0.558585i
\(322\) 6.35472 8.97683i 0.354135 0.500259i
\(323\) −21.5450 5.77297i −1.19880 0.321217i
\(324\) −1.48889 + 0.859611i −0.0827161 + 0.0477562i
\(325\) 0.709836 + 1.85155i 0.0393746 + 0.102705i
\(326\) 2.10261 3.64184i 0.116453 0.201703i
\(327\) 1.81100 + 6.75874i 0.100148 + 0.373759i
\(328\) −11.6920 + 6.75038i −0.645583 + 0.372728i
\(329\) 7.90225 + 5.59402i 0.435665 + 0.308409i
\(330\) −2.27799 2.27799i −0.125399 0.125399i
\(331\) 15.5865 + 15.5865i 0.856711 + 0.856711i 0.990949 0.134239i \(-0.0428588\pi\)
−0.134239 + 0.990949i \(0.542859\pi\)
\(332\) −2.49965 + 9.32883i −0.137186 + 0.511986i
\(333\) −1.05363 3.93218i −0.0577383 0.215482i
\(334\) 6.11937i 0.334837i
\(335\) 1.99413 + 3.45393i 0.108951 + 0.188709i
\(336\) 4.87330 4.04664i 0.265860 0.220762i
\(337\) 6.60942i 0.360038i 0.983663 + 0.180019i \(0.0576159\pi\)
−0.983663 + 0.180019i \(0.942384\pi\)
\(338\) −3.12207 6.14037i −0.169818 0.333992i
\(339\) 3.56627 + 2.05899i 0.193693 + 0.111829i
\(340\) −8.45662 8.45662i −0.458625 0.458625i
\(341\) −16.4987 9.52556i −0.893457 0.515838i
\(342\) 1.79207 3.10396i 0.0969043 0.167843i
\(343\) −16.1800 + 9.01149i −0.873639 + 0.486574i
\(344\) −9.59032 + 2.56972i −0.517075 + 0.138550i
\(345\) −11.7022 + 11.7022i −0.630026 + 0.630026i
\(346\) −9.75457 + 2.61373i −0.524409 + 0.140515i
\(347\) −7.70530 13.3460i −0.413642 0.716450i 0.581643 0.813445i \(-0.302410\pi\)
−0.995285 + 0.0969950i \(0.969077\pi\)
\(348\) 1.16471 2.01733i 0.0624349 0.108140i
\(349\) −0.658426 + 2.45728i −0.0352447 + 0.131535i −0.981307 0.192451i \(-0.938356\pi\)
0.946062 + 0.323986i \(0.105023\pi\)
\(350\) 0.445488 0.629307i 0.0238123 0.0336379i
\(351\) −2.27024 + 2.80107i −0.121177 + 0.149510i
\(352\) −7.50800 13.0042i −0.400178 0.693128i
\(353\) 3.56642 3.56642i 0.189821 0.189821i −0.605798 0.795619i \(-0.707146\pi\)
0.795619 + 0.605798i \(0.207146\pi\)
\(354\) −1.50900 −0.0802023
\(355\) 21.5647 1.14453
\(356\) −15.0166 + 15.0166i −0.795880 + 0.795880i
\(357\) −1.47079 8.59977i −0.0778426 0.455148i
\(358\) 1.48771 + 5.55219i 0.0786277 + 0.293443i
\(359\) 9.36366 + 2.50899i 0.494195 + 0.132419i 0.497305 0.867576i \(-0.334323\pi\)
−0.00310948 + 0.999995i \(0.500990\pi\)
\(360\) 3.60036 2.07867i 0.189755 0.109555i
\(361\) 26.7519i 1.40800i
\(362\) −2.92577 + 0.783959i −0.153775 + 0.0412039i
\(363\) −2.69370 −0.141383
\(364\) 8.03084 14.2995i 0.420930 0.749499i
\(365\) −14.8580 −0.777705
\(366\) 1.86145 0.498775i 0.0972998 0.0260714i
\(367\) 7.48563i 0.390747i −0.980729 0.195373i \(-0.937408\pi\)
0.980729 0.195373i \(-0.0625919\pi\)
\(368\) −16.2662 + 9.39132i −0.847936 + 0.489556i
\(369\) 6.61712 + 1.77305i 0.344473 + 0.0923013i
\(370\) 1.17774 + 4.39538i 0.0612277 + 0.228505i
\(371\) 13.1147 + 15.7938i 0.680881 + 0.819972i
\(372\) 8.03588 8.03588i 0.416641 0.416641i
\(373\) 18.9380 0.980571 0.490285 0.871562i \(-0.336893\pi\)
0.490285 + 0.871562i \(0.336893\pi\)
\(374\) −5.03598 −0.260404
\(375\) −8.27861 + 8.27861i −0.427505 + 0.427505i
\(376\) 3.60590 + 6.24561i 0.185960 + 0.322092i
\(377\) 0.766281 4.82478i 0.0394655 0.248489i
\(378\) 1.39596 + 0.129371i 0.0718005 + 0.00665412i
\(379\) 6.61698 24.6949i 0.339891 1.26849i −0.558577 0.829453i \(-0.688652\pi\)
0.898468 0.439039i \(-0.144681\pi\)
\(380\) 12.2656 21.2446i 0.629211 1.08983i
\(381\) −8.68434 15.0417i −0.444912 0.770611i
\(382\) 11.7747 3.15501i 0.602444 0.161424i
\(383\) 6.37270 6.37270i 0.325630 0.325630i −0.525292 0.850922i \(-0.676044\pi\)
0.850922 + 0.525292i \(0.176044\pi\)
\(384\) 11.1030 2.97504i 0.566598 0.151819i
\(385\) −2.71168 15.8553i −0.138200 0.808060i
\(386\) 1.32126 2.28848i 0.0672501 0.116481i
\(387\) 4.36301 + 2.51899i 0.221784 + 0.128047i
\(388\) 18.5112 + 18.5112i 0.939765 + 0.939765i
\(389\) −24.4866 14.1373i −1.24152 0.716792i −0.272116 0.962264i \(-0.587724\pi\)
−0.969404 + 0.245472i \(0.921057\pi\)
\(390\) 2.53767 3.13103i 0.128500 0.158546i
\(391\) 25.8702i 1.30831i
\(392\) −13.7545 + 1.06087i −0.694705 + 0.0535821i
\(393\) 3.80675 + 6.59348i 0.192025 + 0.332597i
\(394\) 2.39796i 0.120808i
\(395\) 1.23510 + 4.60944i 0.0621444 + 0.231926i
\(396\) −1.28243 + 4.78608i −0.0644443 + 0.240509i
\(397\) −12.0304 12.0304i −0.603789 0.603789i 0.337527 0.941316i \(-0.390410\pi\)
−0.941316 + 0.337527i \(0.890410\pi\)
\(398\) 8.17081 + 8.17081i 0.409566 + 0.409566i
\(399\) 16.2579 7.47959i 0.813913 0.374448i
\(400\) −1.14032 + 0.658363i −0.0570159 + 0.0329182i
\(401\) 1.47514 + 5.50530i 0.0736650 + 0.274921i 0.992927 0.118724i \(-0.0378804\pi\)
−0.919262 + 0.393646i \(0.871214\pi\)
\(402\) −0.500902 + 0.867588i −0.0249827 + 0.0432714i
\(403\) 9.70326 21.7689i 0.483354 1.08438i
\(404\) −12.4690 + 7.19901i −0.620358 + 0.358164i
\(405\) −2.03763 0.545981i −0.101251 0.0271300i
\(406\) −1.72566 + 0.793907i −0.0856432 + 0.0394009i
\(407\) −10.1607 5.86629i −0.503648 0.290781i
\(408\) 1.68201 6.27734i 0.0832718 0.310775i
\(409\) −11.4404 3.06546i −0.565693 0.151577i −0.0353725 0.999374i \(-0.511262\pi\)
−0.530321 + 0.847797i \(0.677928\pi\)
\(410\) −7.39659 1.98191i −0.365291 0.0978795i
\(411\) 4.06862 15.1843i 0.200690 0.748986i
\(412\) 11.7516 + 6.78479i 0.578960 + 0.334262i
\(413\) −6.14961 4.35332i −0.302602 0.214213i
\(414\) −4.01538 1.07592i −0.197345 0.0528785i
\(415\) −10.2627 + 5.92519i −0.503778 + 0.290856i
\(416\) 15.2025 11.0353i 0.745363 0.541052i
\(417\) 9.27005 16.0562i 0.453956 0.786275i
\(418\) −2.67354 9.97777i −0.130767 0.488029i
\(419\) 9.24123 5.33542i 0.451463 0.260653i −0.256985 0.966415i \(-0.582729\pi\)
0.708448 + 0.705763i \(0.249396\pi\)
\(420\) 9.55444 + 0.885460i 0.466209 + 0.0432060i
\(421\) −7.86566 7.86566i −0.383349 0.383349i 0.488958 0.872307i \(-0.337377\pi\)
−0.872307 + 0.488958i \(0.837377\pi\)
\(422\) −3.83870 3.83870i −0.186865 0.186865i
\(423\) 0.947124 3.53471i 0.0460507 0.171864i
\(424\) 3.95774 + 14.7705i 0.192205 + 0.717319i
\(425\) 1.81359i 0.0879720i
\(426\) 2.70840 + 4.69109i 0.131222 + 0.227284i
\(427\) 9.02490 + 3.33748i 0.436746 + 0.161512i
\(428\) 34.4115i 1.66334i
\(429\) 1.08179 + 10.3350i 0.0522292 + 0.498977i
\(430\) −4.87696 2.81571i −0.235188 0.135786i
\(431\) −4.61007 4.61007i −0.222059 0.222059i 0.587306 0.809365i \(-0.300189\pi\)
−0.809365 + 0.587306i \(0.800189\pi\)
\(432\) −2.07341 1.19709i −0.0997571 0.0575948i
\(433\) −11.6587 + 20.1934i −0.560281 + 0.970435i 0.437191 + 0.899369i \(0.355974\pi\)
−0.997472 + 0.0710664i \(0.977360\pi\)
\(434\) −9.13453 + 1.56225i −0.438472 + 0.0749905i
\(435\) 2.76083 0.739763i 0.132372 0.0354689i
\(436\) −8.50626 + 8.50626i −0.407376 + 0.407376i
\(437\) −51.2566 + 13.7342i −2.45194 + 0.656994i
\(438\) −1.86608 3.23215i −0.0891650 0.154438i
\(439\) 2.93624 5.08572i 0.140139 0.242728i −0.787410 0.616430i \(-0.788578\pi\)
0.927549 + 0.373702i \(0.121912\pi\)
\(440\) 3.10109 11.5734i 0.147839 0.551742i
\(441\) 5.31573 + 4.55445i 0.253130 + 0.216879i
\(442\) −0.655871 6.26593i −0.0311966 0.298040i
\(443\) −11.2685 19.5176i −0.535381 0.927308i −0.999145 0.0413488i \(-0.986835\pi\)
0.463763 0.885959i \(-0.346499\pi\)
\(444\) 4.94888 4.94888i 0.234863 0.234863i
\(445\) −26.0578 −1.23526
\(446\) −11.5103 −0.545028
\(447\) −15.6133 + 15.6133i −0.738485 + 0.738485i
\(448\) 5.03140 + 1.86065i 0.237711 + 0.0879075i
\(449\) −1.20603 4.50095i −0.0569159 0.212413i 0.931611 0.363456i \(-0.118403\pi\)
−0.988527 + 0.151043i \(0.951737\pi\)
\(450\) −0.281492 0.0754255i −0.0132696 0.00355559i
\(451\) 17.0986 9.87186i 0.805140 0.464848i
\(452\) 7.07971i 0.333002i
\(453\) −17.2088 + 4.61110i −0.808542 + 0.216648i
\(454\) 6.18933 0.290480
\(455\) 19.3745 5.43891i 0.908290 0.254980i
\(456\) 13.3302 0.624246
\(457\) 26.3311 7.05539i 1.23172 0.330037i 0.416468 0.909150i \(-0.363268\pi\)
0.815247 + 0.579113i \(0.196601\pi\)
\(458\) 2.57311i 0.120234i
\(459\) −2.85581 + 1.64880i −0.133298 + 0.0769595i
\(460\) −27.4827 7.36396i −1.28139 0.343346i
\(461\) 5.21155 + 19.4498i 0.242726 + 0.905866i 0.974513 + 0.224332i \(0.0720200\pi\)
−0.731787 + 0.681534i \(0.761313\pi\)
\(462\) 3.10852 2.58122i 0.144621 0.120089i
\(463\) 6.95272 6.95272i 0.323120 0.323120i −0.526843 0.849963i \(-0.676624\pi\)
0.849963 + 0.526843i \(0.176624\pi\)
\(464\) 3.24392 0.150595
\(465\) 13.9443 0.646653
\(466\) 0.829370 0.829370i 0.0384198 0.0384198i
\(467\) −7.90161 13.6860i −0.365643 0.633312i 0.623236 0.782034i \(-0.285817\pi\)
−0.988879 + 0.148722i \(0.952484\pi\)
\(468\) −6.12201 0.972311i −0.282990 0.0449451i
\(469\) −4.54424 + 2.09062i −0.209834 + 0.0965359i
\(470\) −1.05869 + 3.95109i −0.0488338 + 0.182250i
\(471\) −1.90451 + 3.29871i −0.0877551 + 0.151996i
\(472\) −2.80615 4.86039i −0.129163 0.223718i
\(473\) 14.0250 3.75799i 0.644871 0.172793i
\(474\) −0.847596 + 0.847596i −0.0389314 + 0.0389314i
\(475\) −3.59326 + 0.962812i −0.164870 + 0.0441768i
\(476\) 11.5398 9.58231i 0.528926 0.439205i
\(477\) 3.87961 6.71968i 0.177635 0.307673i
\(478\) 3.77711 + 2.18072i 0.172761 + 0.0997436i
\(479\) −23.3192 23.3192i −1.06548 1.06548i −0.997700 0.0677829i \(-0.978407\pi\)
−0.0677829 0.997700i \(-0.521593\pi\)
\(480\) 9.51836 + 5.49543i 0.434452 + 0.250831i
\(481\) 5.97573 13.4063i 0.272470 0.611275i
\(482\) 7.70784i 0.351082i
\(483\) −13.2599 15.9687i −0.603348 0.726601i
\(484\) −2.31553 4.01062i −0.105252 0.182301i
\(485\) 32.1218i 1.45857i
\(486\) −0.137144 0.511829i −0.00622099 0.0232170i
\(487\) 7.00807 26.1545i 0.317566 1.18517i −0.604011 0.796976i \(-0.706432\pi\)
0.921577 0.388196i \(-0.126902\pi\)
\(488\) 5.06811 + 5.06811i 0.229422 + 0.229422i
\(489\) −5.61169 5.61169i −0.253769 0.253769i
\(490\) −5.94190 5.09095i −0.268428 0.229986i
\(491\) −10.9028 + 6.29476i −0.492038 + 0.284078i −0.725420 0.688307i \(-0.758354\pi\)
0.233381 + 0.972385i \(0.425021\pi\)
\(492\) 3.04827 + 11.3763i 0.137427 + 0.512883i
\(493\) 2.23400 3.86941i 0.100614 0.174269i
\(494\) 12.0665 4.62598i 0.542896 0.208133i
\(495\) −5.26521 + 3.03987i −0.236654 + 0.136632i
\(496\) 15.2868 + 4.09607i 0.686396 + 0.183919i
\(497\) −2.49584 + 26.9311i −0.111954 + 1.20802i
\(498\) −2.57788 1.48834i −0.115518 0.0666942i
\(499\) −6.44253 + 24.0438i −0.288407 + 1.07635i 0.657906 + 0.753100i \(0.271442\pi\)
−0.946313 + 0.323251i \(0.895224\pi\)
\(500\) −19.4423 5.20955i −0.869487 0.232978i
\(501\) 11.1550 + 2.98897i 0.498369 + 0.133537i
\(502\) 2.94803 11.0022i 0.131577 0.491052i
\(503\) −22.2573 12.8503i −0.992404 0.572965i −0.0864120 0.996259i \(-0.527540\pi\)
−0.905992 + 0.423295i \(0.860873\pi\)
\(504\) 2.17925 + 4.73689i 0.0970714 + 0.210998i
\(505\) −17.0646 4.57244i −0.759364 0.203471i
\(506\) −10.3757 + 5.99041i −0.461256 + 0.266306i
\(507\) −12.7182 + 2.69199i −0.564836 + 0.119556i
\(508\) 14.9303 25.8601i 0.662426 1.14735i
\(509\) −2.33254 8.70515i −0.103388 0.385849i 0.894769 0.446529i \(-0.147340\pi\)
−0.998157 + 0.0606796i \(0.980673\pi\)
\(510\) 3.19221 1.84302i 0.141354 0.0816105i
\(511\) 1.71963 18.5555i 0.0760720 0.820846i
\(512\) 15.4932 + 15.4932i 0.684708 + 0.684708i
\(513\) −4.78288 4.78288i −0.211169 0.211169i
\(514\) 1.03445 3.86061i 0.0456276 0.170284i
\(515\) 4.30935 + 16.0827i 0.189893 + 0.708689i
\(516\) 8.66139i 0.381297i
\(517\) −5.27332 9.13366i −0.231920 0.401698i
\(518\) −5.62548 + 0.962109i −0.247169 + 0.0422727i
\(519\) 19.0583i 0.836564i
\(520\) 14.8039 + 2.35119i 0.649195 + 0.103107i
\(521\) −10.2174 5.89904i −0.447634 0.258442i 0.259196 0.965825i \(-0.416542\pi\)
−0.706831 + 0.707383i \(0.749876\pi\)
\(522\) 0.507670 + 0.507670i 0.0222201 + 0.0222201i
\(523\) 24.7931 + 14.3143i 1.08412 + 0.625920i 0.932006 0.362443i \(-0.118057\pi\)
0.152119 + 0.988362i \(0.451390\pi\)
\(524\) −6.54464 + 11.3357i −0.285904 + 0.495200i
\(525\) −0.929566 1.11946i −0.0405696 0.0488572i
\(526\) −12.2010 + 3.26924i −0.531987 + 0.142545i
\(527\) 15.4135 15.4135i 0.671421 0.671421i
\(528\) −6.66504 + 1.78589i −0.290059 + 0.0777210i
\(529\) 19.2732 + 33.3822i 0.837966 + 1.45140i
\(530\) −4.33661 + 7.51124i −0.188370 + 0.326267i
\(531\) −0.737061 + 2.75075i −0.0319857 + 0.119372i
\(532\) 25.1118 + 17.7767i 1.08873 + 0.770717i
\(533\) 14.5098 + 19.9889i 0.628487 + 0.865815i
\(534\) −3.27271 5.66849i −0.141624 0.245300i
\(535\) −29.8564 + 29.8564i −1.29081 + 1.29081i
\(536\) −3.72594 −0.160936
\(537\) 10.8477 0.468115
\(538\) 10.3525 10.3525i 0.446330 0.446330i
\(539\) 20.1147 1.55143i 0.866402 0.0668250i
\(540\) −0.938663 3.50314i −0.0403936 0.150751i
\(541\) −20.6881 5.54336i −0.889451 0.238328i −0.214971 0.976621i \(-0.568966\pi\)
−0.674480 + 0.738293i \(0.735632\pi\)
\(542\) 9.49098 5.47962i 0.407673 0.235370i
\(543\) 5.71631i 0.245310i
\(544\) 16.5956 4.44677i 0.711530 0.190654i
\(545\) −14.7606 −0.632273
\(546\) 3.61648 + 3.53155i 0.154771 + 0.151136i
\(547\) −26.1223 −1.11691 −0.558455 0.829535i \(-0.688606\pi\)
−0.558455 + 0.829535i \(0.688606\pi\)
\(548\) 26.1052 6.99486i 1.11516 0.298806i
\(549\) 3.63687i 0.155218i
\(550\) −0.727372 + 0.419948i −0.0310152 + 0.0179066i
\(551\) 8.85245 + 2.37201i 0.377127 + 0.101051i
\(552\) −4.00158 14.9341i −0.170318 0.635637i
\(553\) −5.89945 + 1.00896i −0.250870 + 0.0429055i
\(554\) −3.36616 + 3.36616i −0.143014 + 0.143014i
\(555\) 8.58759 0.364523
\(556\) 31.8745 1.35178
\(557\) 24.3809 24.3809i 1.03305 1.03305i 0.0336154 0.999435i \(-0.489298\pi\)
0.999435 0.0336154i \(-0.0107021\pi\)
\(558\) 1.75133 + 3.03339i 0.0741397 + 0.128414i
\(559\) 6.50239 + 16.9610i 0.275022 + 0.717372i
\(560\) 5.58483 + 12.1394i 0.236002 + 0.512982i
\(561\) −2.45979 + 9.18007i −0.103853 + 0.387583i
\(562\) −4.99160 + 8.64570i −0.210558 + 0.364697i
\(563\) 8.01096 + 13.8754i 0.337622 + 0.584778i 0.983985 0.178252i \(-0.0570442\pi\)
−0.646363 + 0.763030i \(0.723711\pi\)
\(564\) 6.07696 1.62832i 0.255886 0.0685645i
\(565\) −6.14257 + 6.14257i −0.258420 + 0.258420i
\(566\) 9.92810 2.66023i 0.417309 0.111818i
\(567\) 0.917679 2.48150i 0.0385389 0.104213i
\(568\) −10.0731 + 17.4472i −0.422660 + 0.732068i
\(569\) −22.9269 13.2368i −0.961145 0.554917i −0.0646197 0.997910i \(-0.520583\pi\)
−0.896525 + 0.442993i \(0.853917\pi\)
\(570\) 5.34629 + 5.34629i 0.223931 + 0.223931i
\(571\) 13.5784 + 7.83948i 0.568237 + 0.328072i 0.756445 0.654057i \(-0.226935\pi\)
−0.188208 + 0.982129i \(0.560268\pi\)
\(572\) −14.4577 + 10.4947i −0.604508 + 0.438806i
\(573\) 23.0051i 0.961050i
\(574\) 3.33117 9.00785i 0.139040 0.375981i
\(575\) 2.15731 + 3.73657i 0.0899660 + 0.155826i
\(576\) 2.02756i 0.0844817i
\(577\) 7.54746 + 28.1675i 0.314205 + 1.17263i 0.924728 + 0.380630i \(0.124293\pi\)
−0.610523 + 0.791999i \(0.709041\pi\)
\(578\) −0.840119 + 3.13537i −0.0349444 + 0.130414i
\(579\) −3.52631 3.52631i −0.146548 0.146548i
\(580\) 3.47467 + 3.47467i 0.144278 + 0.144278i
\(581\) −6.21190 13.5024i −0.257713 0.560174i
\(582\) −6.98763 + 4.03431i −0.289647 + 0.167228i
\(583\) −5.78786 21.6006i −0.239709 0.894605i
\(584\) 6.94038 12.0211i 0.287195 0.497436i
\(585\) −4.46803 6.15525i −0.184730 0.254488i
\(586\) −11.9942 + 6.92487i −0.495477 + 0.286064i
\(587\) −7.40030 1.98290i −0.305443 0.0818432i 0.102842 0.994698i \(-0.467206\pi\)
−0.408285 + 0.912854i \(0.633873\pi\)
\(588\) −2.21161 + 11.8296i −0.0912055 + 0.487844i
\(589\) 38.7215 + 22.3558i 1.59549 + 0.921157i
\(590\) 0.823884 3.07478i 0.0339188 0.126587i
\(591\) 4.37125 + 1.17127i 0.179809 + 0.0481797i
\(592\) 9.41431 + 2.52256i 0.386926 + 0.103676i
\(593\) −4.71470 + 17.5955i −0.193610 + 0.722561i 0.799013 + 0.601314i \(0.205356\pi\)
−0.992622 + 0.121247i \(0.961311\pi\)
\(594\) −1.32256 0.763581i −0.0542653 0.0313301i
\(595\) 18.3262 + 1.69838i 0.751300 + 0.0696269i
\(596\) −36.6679 9.82514i −1.50198 0.402453i
\(597\) 18.8855 10.9036i 0.772934 0.446253i
\(598\) −8.80477 12.1296i −0.360054 0.496017i
\(599\) −7.09934 + 12.2964i −0.290071 + 0.502418i −0.973826 0.227293i \(-0.927012\pi\)
0.683755 + 0.729712i \(0.260346\pi\)
\(600\) −0.280524 1.04693i −0.0114523 0.0427408i
\(601\) −11.4194 + 6.59300i −0.465807 + 0.268934i −0.714483 0.699653i \(-0.753338\pi\)
0.248676 + 0.968587i \(0.420005\pi\)
\(602\) 4.08085 5.76471i 0.166323 0.234952i
\(603\) 1.33686 + 1.33686i 0.0544413 + 0.0544413i
\(604\) −21.6583 21.6583i −0.881265 0.881265i
\(605\) 1.47071 5.48876i 0.0597928 0.223150i
\(606\) −1.14855 4.28643i −0.0466565 0.174124i
\(607\) 11.2832i 0.457970i −0.973430 0.228985i \(-0.926459\pi\)
0.973430 0.228985i \(-0.0735406\pi\)
\(608\) 17.6208 + 30.5201i 0.714617 + 1.23775i
\(609\) 0.604322 + 3.53349i 0.0244884 + 0.143184i
\(610\) 4.06528i 0.164598i
\(611\) 10.6776 7.75078i 0.431970 0.313563i
\(612\) −4.90977 2.83466i −0.198466 0.114584i
\(613\) 7.04738 + 7.04738i 0.284641 + 0.284641i 0.834957 0.550316i \(-0.185493\pi\)
−0.550316 + 0.834957i \(0.685493\pi\)
\(614\) 1.02767 + 0.593327i 0.0414735 + 0.0239447i
\(615\) −7.22564 + 12.5152i −0.291366 + 0.504661i
\(616\) 14.0946 + 5.21228i 0.567887 + 0.210009i
\(617\) 37.7991 10.1282i 1.52173 0.407747i 0.601422 0.798932i \(-0.294601\pi\)
0.920312 + 0.391184i \(0.127935\pi\)
\(618\) −2.95733 + 2.95733i −0.118961 + 0.118961i
\(619\) −18.7706 + 5.02957i −0.754455 + 0.202156i −0.615493 0.788142i \(-0.711043\pi\)
−0.138962 + 0.990298i \(0.544376\pi\)
\(620\) 11.9867 + 20.7616i 0.481398 + 0.833805i
\(621\) −3.92258 + 6.79410i −0.157408 + 0.272638i
\(622\) −2.08342 + 7.77544i −0.0835376 + 0.311767i
\(623\) 3.01586 32.5423i 0.120828 1.30378i
\(624\) −3.09010 8.06027i −0.123703 0.322669i
\(625\) −10.9738 19.0072i −0.438953 0.760290i
\(626\) 1.15390 1.15390i 0.0461189 0.0461189i
\(627\) −19.4943 −0.778529
\(628\) −6.54855 −0.261316
\(629\) 9.49234 9.49234i 0.378484 0.378484i
\(630\) −1.02578 + 2.77382i −0.0408680 + 0.110511i
\(631\) −2.13268 7.95928i −0.0849008 0.316854i 0.910395 0.413741i \(-0.135778\pi\)
−0.995295 + 0.0968871i \(0.969111\pi\)
\(632\) −4.30626 1.15386i −0.171294 0.0458980i
\(633\) −8.87255 + 5.12257i −0.352652 + 0.203604i
\(634\) 4.35988i 0.173153i
\(635\) 35.3909 9.48297i 1.40445 0.376320i
\(636\) 13.3398 0.528958
\(637\) 4.55003 + 24.8253i 0.180279 + 0.983616i
\(638\) 2.06919 0.0819200
\(639\) 9.87427 2.64580i 0.390620 0.104666i
\(640\) 24.2481i 0.958491i
\(641\) −34.5796 + 19.9646i −1.36581 + 0.788552i −0.990390 0.138301i \(-0.955836\pi\)
−0.375423 + 0.926854i \(0.622502\pi\)
\(642\) −10.2446 2.74504i −0.404324 0.108338i
\(643\) −3.71724 13.8729i −0.146594 0.547095i −0.999679 0.0253239i \(-0.991938\pi\)
0.853086 0.521771i \(-0.174728\pi\)
\(644\) 12.3773 33.4695i 0.487732 1.31888i
\(645\) −7.51488 + 7.51488i −0.295898 + 0.295898i
\(646\) 11.8191 0.465016
\(647\) 9.05314 0.355916 0.177958 0.984038i \(-0.443051\pi\)
0.177958 + 0.984038i \(0.443051\pi\)
\(648\) 1.39354 1.39354i 0.0547433 0.0547433i
\(649\) 4.10375 + 7.10790i 0.161086 + 0.279010i
\(650\) −0.617244 0.850327i −0.0242103 0.0333526i
\(651\) −1.61388 + 17.4144i −0.0632531 + 0.682524i
\(652\) 3.53132 13.1791i 0.138297 0.516132i
\(653\) −16.9246 + 29.3143i −0.662312 + 1.14716i 0.317694 + 0.948193i \(0.397092\pi\)
−0.980006 + 0.198966i \(0.936242\pi\)
\(654\) −1.85384 3.21095i −0.0724910 0.125558i
\(655\) −15.5135 + 4.15682i −0.606161 + 0.162420i
\(656\) −11.5975 + 11.5975i −0.452807 + 0.452807i
\(657\) −6.80337 + 1.82296i −0.265425 + 0.0711203i
\(658\) −4.81179 1.77944i −0.187583 0.0693697i
\(659\) 14.7702 25.5827i 0.575365 0.996561i −0.420637 0.907229i \(-0.638193\pi\)
0.996002 0.0893323i \(-0.0284733\pi\)
\(660\) −9.05207 5.22621i −0.352351 0.203430i
\(661\) −15.2821 15.2821i −0.594406 0.594406i 0.344413 0.938818i \(-0.388078\pi\)
−0.938818 + 0.344413i \(0.888078\pi\)
\(662\) −10.1152 5.84002i −0.393139 0.226979i
\(663\) −11.7425 1.86497i −0.456041 0.0724294i
\(664\) 11.0709i 0.429636i
\(665\) 6.36413 + 37.2113i 0.246790 + 1.44299i
\(666\) 1.07855 + 1.86811i 0.0417931 + 0.0723877i
\(667\) 10.6296i 0.411579i
\(668\) 5.13871 + 19.1779i 0.198823 + 0.742016i
\(669\) −5.62213 + 20.9821i −0.217364 + 0.811215i
\(670\) −1.49434 1.49434i −0.0577314 0.0577314i
\(671\) −7.41167 7.41167i −0.286124 0.286124i
\(672\) −7.96460 + 11.2510i −0.307241 + 0.434016i
\(673\) −40.0862 + 23.1438i −1.54521 + 0.892126i −0.546711 + 0.837321i \(0.684120\pi\)
−0.998497 + 0.0548050i \(0.982546\pi\)
\(674\) −0.906443 3.38289i −0.0349149 0.130304i
\(675\) −0.274986 + 0.476290i −0.0105842 + 0.0183324i
\(676\) −14.9408 16.6220i −0.574646 0.639307i
\(677\) 3.29683 1.90343i 0.126707 0.0731546i −0.435307 0.900282i \(-0.643360\pi\)
0.562014 + 0.827128i \(0.310027\pi\)
\(678\) −2.10770 0.564756i −0.0809457 0.0216893i
\(679\) −40.1153 3.71769i −1.53948 0.142672i
\(680\) 11.8725 + 6.85462i 0.455291 + 0.262863i
\(681\) 3.02314 11.2825i 0.115847 0.432347i
\(682\) 9.75091 + 2.61275i 0.373382 + 0.100047i
\(683\) 10.5464 + 2.82590i 0.403547 + 0.108130i 0.454883 0.890551i \(-0.349681\pi\)
−0.0513357 + 0.998681i \(0.516348\pi\)
\(684\) 3.00977 11.2326i 0.115081 0.429489i
\(685\) 28.7186 + 16.5807i 1.09728 + 0.633515i
\(686\) 7.04553 6.83134i 0.269000 0.260822i
\(687\) −4.69053 1.25682i −0.178955 0.0479508i
\(688\) −10.4458 + 6.03088i −0.398242 + 0.229925i
\(689\) 26.1224 10.0146i 0.995183 0.381528i
\(690\) 4.38464 7.59442i 0.166920 0.289115i
\(691\) 5.97064 + 22.2827i 0.227134 + 0.847675i 0.981538 + 0.191265i \(0.0612590\pi\)
−0.754405 + 0.656410i \(0.772074\pi\)
\(692\) −28.3756 + 16.3827i −1.07868 + 0.622776i
\(693\) −3.18696 6.92729i −0.121063 0.263146i
\(694\) 5.77412 + 5.77412i 0.219183 + 0.219183i
\(695\) 27.6553 + 27.6553i 1.04903 + 1.04903i
\(696\) −0.691106 + 2.57924i −0.0261963 + 0.0977660i
\(697\) 5.84682 + 21.8206i 0.221464 + 0.826515i
\(698\) 1.34801i 0.0510228i
\(699\) −1.10676 1.91696i −0.0418614 0.0725060i
\(700\) 0.867688 2.34632i 0.0327955 0.0886827i
\(701\) 12.3895i 0.467945i 0.972243 + 0.233973i \(0.0751726\pi\)
−0.972243 + 0.233973i \(0.924827\pi\)
\(702\) 0.777826 1.74502i 0.0293572 0.0658616i
\(703\) 23.8465 + 13.7678i 0.899389 + 0.519262i
\(704\) −4.13202 4.13202i −0.155732 0.155732i
\(705\) 6.68532 + 3.85977i 0.251784 + 0.145367i
\(706\) −1.33628 + 2.31451i −0.0502917 + 0.0871077i
\(707\) 7.68531 20.7819i 0.289036 0.781584i
\(708\) −4.72915 + 1.26717i −0.177732 + 0.0476232i
\(709\) −16.8696 + 16.8696i −0.633553 + 0.633553i −0.948957 0.315405i \(-0.897860\pi\)
0.315405 + 0.948957i \(0.397860\pi\)
\(710\) −11.0374 + 2.95747i −0.414227 + 0.110992i
\(711\) 1.13108 + 1.95909i 0.0424188 + 0.0734715i
\(712\) 12.1719 21.0824i 0.456162 0.790096i
\(713\) 13.4219 50.0912i 0.502654 1.87593i
\(714\) 1.93220 + 4.19990i 0.0723109 + 0.157177i
\(715\) −21.6495 3.43842i −0.809645 0.128589i
\(716\) 9.32484 + 16.1511i 0.348486 + 0.603595i
\(717\) 5.82013 5.82013i 0.217357 0.217357i
\(718\) −5.13669 −0.191700
\(719\) 41.6555 1.55349 0.776744 0.629817i \(-0.216870\pi\)
0.776744 + 0.629817i \(0.216870\pi\)
\(720\) 3.57126 3.57126i 0.133093 0.133093i
\(721\) −20.5837 + 3.52036i −0.766576 + 0.131105i
\(722\) 3.66887 + 13.6924i 0.136541 + 0.509579i
\(723\) 14.0506 + 3.76485i 0.522548 + 0.140016i
\(724\) −8.51095 + 4.91380i −0.316307 + 0.182620i
\(725\) 0.745171i 0.0276749i
\(726\) 1.37871 0.369425i 0.0511689 0.0137107i
\(727\) −31.5386 −1.16970 −0.584851 0.811141i \(-0.698847\pi\)
−0.584851 + 0.811141i \(0.698847\pi\)
\(728\) −4.64966 + 18.2158i −0.172328 + 0.675122i
\(729\) −1.00000 −0.0370370
\(730\) 7.60478 2.03769i 0.281465 0.0754184i
\(731\) 16.6132i 0.614463i
\(732\) 5.41490 3.12629i 0.200140 0.115551i
\(733\) −31.5148 8.44436i −1.16402 0.311899i −0.375452 0.926842i \(-0.622513\pi\)
−0.788572 + 0.614942i \(0.789179\pi\)
\(734\) 1.02661 + 3.83137i 0.0378929 + 0.141418i
\(735\) −12.1826 + 8.34484i −0.449361 + 0.307804i
\(736\) 28.9026 28.9026i 1.06536 1.06536i
\(737\) 5.44886 0.200711
\(738\) −3.63000 −0.133622
\(739\) 23.5095 23.5095i 0.864813 0.864813i −0.127080 0.991892i \(-0.540560\pi\)
0.991892 + 0.127080i \(0.0405605\pi\)
\(740\) 7.38199 + 12.7860i 0.271367 + 0.470022i
\(741\) −2.53889 24.2555i −0.0932683 0.891048i
\(742\) −8.87850 6.28512i −0.325940 0.230734i
\(743\) 8.41303 31.3979i 0.308644 1.15188i −0.621118 0.783717i \(-0.713321\pi\)
0.929763 0.368159i \(-0.120012\pi\)
\(744\) −6.51358 + 11.2819i −0.238800 + 0.413613i
\(745\) −23.2896 40.3387i −0.853264 1.47790i
\(746\) −9.69301 + 2.59723i −0.354886 + 0.0950915i
\(747\) −3.97225 + 3.97225i −0.145337 + 0.145337i
\(748\) −15.7826 + 4.22893i −0.577068 + 0.154625i
\(749\) −33.8307 40.7417i −1.23615 1.48867i
\(750\) 3.10187 5.37259i 0.113264 0.196179i
\(751\) 37.1727 + 21.4617i 1.35645 + 0.783148i 0.989144 0.146951i \(-0.0469459\pi\)
0.367309 + 0.930099i \(0.380279\pi\)
\(752\) 6.19513 + 6.19513i 0.225913 + 0.225913i
\(753\) −18.6160 10.7479i −0.678403 0.391676i
\(754\) 0.269485 + 2.57455i 0.00981407 + 0.0937597i
\(755\) 37.5828i 1.36778i
\(756\) 4.48354 0.766806i 0.163065 0.0278885i
\(757\) 6.45620 + 11.1825i 0.234654 + 0.406433i 0.959172 0.282823i \(-0.0912708\pi\)
−0.724518 + 0.689256i \(0.757937\pi\)
\(758\) 13.5471i 0.492051i
\(759\) 5.85196 + 21.8398i 0.212413 + 0.792735i
\(760\) −7.27806 + 27.1621i −0.264003 + 0.985273i
\(761\) −26.9660 26.9660i −0.977516 0.977516i 0.0222364 0.999753i \(-0.492921\pi\)
−0.999753 + 0.0222364i \(0.992921\pi\)
\(762\) 6.50779 + 6.50779i 0.235752 + 0.235752i
\(763\) 1.70835 18.4338i 0.0618465 0.667347i
\(764\) 34.2520 19.7754i 1.23919 0.715449i
\(765\) −1.80043 6.71929i −0.0650947 0.242937i
\(766\) −2.38776 + 4.13571i −0.0862731 + 0.149429i
\(767\) −8.30943 + 6.03173i −0.300036 + 0.217793i
\(768\) −1.76299 + 1.01786i −0.0636165 + 0.0367290i
\(769\) −0.0137463 0.00368331i −0.000495704 0.000132824i 0.258571 0.965992i \(-0.416748\pi\)
−0.259067 + 0.965859i \(0.583415\pi\)
\(770\) 3.56238 + 7.74330i 0.128379 + 0.279049i
\(771\) −6.53224 3.77139i −0.235253 0.135823i
\(772\) 2.21903 8.28154i 0.0798647 0.298059i
\(773\) 16.6107 + 4.45082i 0.597445 + 0.160085i 0.544854 0.838531i \(-0.316585\pi\)
0.0525914 + 0.998616i \(0.483252\pi\)