Properties

Label 96.2.o.a.35.1
Level 96
Weight 2
Character 96.35
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 96.o (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 35.1
Character \(\chi\) = 96.35
Dual form 96.2.o.a.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41060 + 0.101040i) q^{2} +(1.72928 + 0.0979076i) q^{3} +(1.97958 - 0.285053i) q^{4} +(-0.180206 + 0.0746437i) q^{5} +(-2.44922 + 0.0366175i) q^{6} +(-0.289055 - 0.289055i) q^{7} +(-2.76360 + 0.602112i) q^{8} +(2.98083 + 0.338620i) q^{9} +O(q^{10})\) \(q+(-1.41060 + 0.101040i) q^{2} +(1.72928 + 0.0979076i) q^{3} +(1.97958 - 0.285053i) q^{4} +(-0.180206 + 0.0746437i) q^{5} +(-2.44922 + 0.0366175i) q^{6} +(-0.289055 - 0.289055i) q^{7} +(-2.76360 + 0.602112i) q^{8} +(2.98083 + 0.338620i) q^{9} +(0.246656 - 0.123500i) q^{10} +(3.10859 - 1.28762i) q^{11} +(3.45116 - 0.299121i) q^{12} +(-1.27981 + 3.08973i) q^{13} +(0.436947 + 0.378535i) q^{14} +(-0.318935 + 0.111436i) q^{15} +(3.83749 - 1.12857i) q^{16} -0.806332 q^{17} +(-4.23897 - 0.176475i) q^{18} +(-5.57935 - 2.31104i) q^{19} +(-0.335455 + 0.199131i) q^{20} +(-0.471557 - 0.528159i) q^{21} +(-4.25488 + 2.13041i) q^{22} +(-5.03681 - 5.03681i) q^{23} +(-4.83799 + 0.770644i) q^{24} +(-3.50863 + 3.50863i) q^{25} +(1.49311 - 4.48768i) q^{26} +(5.12154 + 0.877415i) q^{27} +(-0.654605 - 0.489813i) q^{28} +(-3.64020 + 8.78822i) q^{29} +(0.438629 - 0.189417i) q^{30} -7.48336i q^{31} +(-5.29913 + 1.97970i) q^{32} +(5.50170 - 1.92230i) q^{33} +(1.13741 - 0.0814715i) q^{34} +(0.0736656 + 0.0305133i) q^{35} +(5.99732 - 0.179369i) q^{36} +(-1.47112 - 3.55159i) q^{37} +(8.10374 + 2.69622i) q^{38} +(-2.51565 + 5.21770i) q^{39} +(0.453072 - 0.314789i) q^{40} +(2.62513 - 2.62513i) q^{41} +(0.718544 + 0.697375i) q^{42} +(2.84744 + 6.87432i) q^{43} +(5.78667 - 3.43506i) q^{44} +(-0.562438 + 0.161479i) q^{45} +(7.61384 + 6.59601i) q^{46} +0.399772i q^{47} +(6.74660 - 1.57590i) q^{48} -6.83289i q^{49} +(4.59476 - 5.30378i) q^{50} +(-1.39438 - 0.0789461i) q^{51} +(-1.65275 + 6.48118i) q^{52} +(1.42173 + 3.43237i) q^{53} +(-7.31309 - 0.720202i) q^{54} +(-0.464073 + 0.464073i) q^{55} +(0.972876 + 0.624789i) q^{56} +(-9.42200 - 4.54271i) q^{57} +(4.24691 - 12.7645i) q^{58} +(0.918629 + 2.21777i) q^{59} +(-0.599592 + 0.311511i) q^{60} +(8.81133 + 3.64977i) q^{61} +(0.756117 + 10.5560i) q^{62} +(-0.763745 - 0.959504i) q^{63} +(7.27492 - 3.32799i) q^{64} -0.652316i q^{65} +(-7.56646 + 3.26749i) q^{66} +(-3.76613 + 9.09225i) q^{67} +(-1.59620 + 0.229847i) q^{68} +(-8.21692 - 9.20321i) q^{69} +(-0.106996 - 0.0355989i) q^{70} +(2.86762 - 2.86762i) q^{71} +(-8.44169 + 0.858984i) q^{72} +(-6.97993 - 6.97993i) q^{73} +(2.43401 + 4.86123i) q^{74} +(-6.41093 + 5.72389i) q^{75} +(-11.7036 - 2.98449i) q^{76} +(-1.27075 - 0.526361i) q^{77} +(3.02138 - 7.61427i) q^{78} +8.01674 q^{79} +(-0.607297 + 0.489819i) q^{80} +(8.77067 + 2.01873i) q^{81} +(-3.43776 + 3.96825i) q^{82} +(2.47115 - 5.96589i) q^{83} +(-1.08404 - 0.911115i) q^{84} +(0.145306 - 0.0601876i) q^{85} +(-4.71117 - 9.40921i) q^{86} +(-7.15536 + 14.8409i) q^{87} +(-7.81560 + 5.43018i) q^{88} +(5.43308 + 5.43308i) q^{89} +(0.777059 - 0.284610i) q^{90} +(1.26304 - 0.523167i) q^{91} +(-11.4065 - 8.53503i) q^{92} +(0.732678 - 12.9408i) q^{93} +(-0.0403928 - 0.563918i) q^{94} +1.17794 q^{95} +(-9.35752 + 2.90463i) q^{96} +2.61408 q^{97} +(0.690393 + 9.63848i) q^{98} +(9.70219 - 2.78555i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} + O(q^{10}) \) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} - 16q^{10} - 4q^{12} - 8q^{13} - 8q^{15} - 40q^{16} - 4q^{18} - 8q^{19} - 4q^{21} - 24q^{22} + 16q^{24} - 8q^{25} - 28q^{27} - 8q^{28} + 44q^{30} - 8q^{33} - 24q^{34} + 48q^{36} - 8q^{37} - 28q^{39} + 24q^{40} + 56q^{42} - 8q^{43} - 4q^{45} + 24q^{46} + 48q^{48} - 16q^{51} + 48q^{52} + 40q^{54} + 24q^{55} - 4q^{57} + 96q^{58} + 8q^{60} - 40q^{61} + 40q^{64} - 28q^{66} + 56q^{67} - 4q^{69} + 40q^{70} - 64q^{72} - 8q^{73} + 16q^{75} + 48q^{76} - 92q^{78} + 16q^{79} - 48q^{82} - 136q^{84} - 48q^{85} + 52q^{87} - 48q^{88} - 136q^{90} + 40q^{91} + 8q^{93} - 64q^{94} - 104q^{96} - 16q^{97} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{8}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41060 + 0.101040i −0.997444 + 0.0714458i
\(3\) 1.72928 + 0.0979076i 0.998401 + 0.0565270i
\(4\) 1.97958 0.285053i 0.989791 0.142526i
\(5\) −0.180206 + 0.0746437i −0.0805904 + 0.0333817i −0.422614 0.906310i \(-0.638888\pi\)
0.342024 + 0.939691i \(0.388888\pi\)
\(6\) −2.44922 + 0.0366175i −0.999888 + 0.0149490i
\(7\) −0.289055 0.289055i −0.109253 0.109253i 0.650367 0.759620i \(-0.274615\pi\)
−0.759620 + 0.650367i \(0.774615\pi\)
\(8\) −2.76360 + 0.602112i −0.977079 + 0.212879i
\(9\) 2.98083 + 0.338620i 0.993609 + 0.112873i
\(10\) 0.246656 0.123500i 0.0779995 0.0390542i
\(11\) 3.10859 1.28762i 0.937276 0.388232i 0.138842 0.990315i \(-0.455662\pi\)
0.798434 + 0.602082i \(0.205662\pi\)
\(12\) 3.45116 0.299121i 0.996265 0.0863487i
\(13\) −1.27981 + 3.08973i −0.354954 + 0.856936i 0.641039 + 0.767508i \(0.278504\pi\)
−0.995993 + 0.0894273i \(0.971496\pi\)
\(14\) 0.436947 + 0.378535i 0.116779 + 0.101168i
\(15\) −0.318935 + 0.111436i −0.0823486 + 0.0287727i
\(16\) 3.83749 1.12857i 0.959372 0.282143i
\(17\) −0.806332 −0.195564 −0.0977822 0.995208i \(-0.531175\pi\)
−0.0977822 + 0.995208i \(0.531175\pi\)
\(18\) −4.23897 0.176475i −0.999135 0.0415955i
\(19\) −5.57935 2.31104i −1.27999 0.530190i −0.364004 0.931397i \(-0.618591\pi\)
−0.915987 + 0.401208i \(0.868591\pi\)
\(20\) −0.335455 + 0.199131i −0.0750099 + 0.0445271i
\(21\) −0.471557 0.528159i −0.102902 0.115254i
\(22\) −4.25488 + 2.13041i −0.907143 + 0.454205i
\(23\) −5.03681 5.03681i −1.05025 1.05025i −0.998669 0.0515792i \(-0.983575\pi\)
−0.0515792 0.998669i \(1.48357\pi\)
\(24\) −4.83799 + 0.770644i −0.987550 + 0.157307i
\(25\) −3.50863 + 3.50863i −0.701726 + 0.701726i
\(26\) 1.49311 4.48768i 0.292823 0.880106i
\(27\) 5.12154 + 0.877415i 0.985640 + 0.168859i
\(28\) −0.654605 0.489813i −0.123709 0.0925659i
\(29\) −3.64020 + 8.78822i −0.675968 + 1.63193i 0.0953212 + 0.995447i \(0.469612\pi\)
−0.771289 + 0.636485i \(0.780388\pi\)
\(30\) 0.438629 0.189417i 0.0800824 0.0345827i
\(31\) 7.48336i 1.34405i −0.740528 0.672026i \(-0.765424\pi\)
0.740528 0.672026i \(-0.234576\pi\)
\(32\) −5.29913 + 1.97970i −0.936763 + 0.349965i
\(33\) 5.50170 1.92230i 0.957723 0.334630i
\(34\) 1.13741 0.0814715i 0.195065 0.0139723i
\(35\) 0.0736656 + 0.0305133i 0.0124518 + 0.00515769i
\(36\) 5.99732 0.179369i 0.999553 0.0298948i
\(37\) −1.47112 3.55159i −0.241850 0.583878i 0.755616 0.655014i \(-0.227337\pi\)
−0.997467 + 0.0711364i \(0.977337\pi\)
\(38\) 8.10374 + 2.69622i 1.31460 + 0.437385i
\(39\) −2.51565 + 5.21770i −0.402827 + 0.835501i
\(40\) 0.453072 0.314789i 0.0716370 0.0497725i
\(41\) 2.62513 2.62513i 0.409976 0.409976i −0.471754 0.881730i \(-0.656379\pi\)
0.881730 + 0.471754i \(0.156379\pi\)
\(42\) 0.718544 + 0.697375i 0.110874 + 0.107607i
\(43\) 2.84744 + 6.87432i 0.434230 + 1.04832i 0.977909 + 0.209031i \(0.0670310\pi\)
−0.543679 + 0.839293i \(0.682969\pi\)
\(44\) 5.78667 3.43506i 0.872374 0.517855i
\(45\) −0.562438 + 0.161479i −0.0838433 + 0.0240718i
\(46\) 7.61384 + 6.59601i 1.12260 + 0.972528i
\(47\) 0.399772i 0.0583127i 0.999575 + 0.0291564i \(0.00928208\pi\)
−0.999575 + 0.0291564i \(0.990718\pi\)
\(48\) 6.74660 1.57590i 0.973787 0.227461i
\(49\) 6.83289i 0.976128i
\(50\) 4.59476 5.30378i 0.649798 0.750068i
\(51\) −1.39438 0.0789461i −0.195252 0.0110547i
\(52\) −1.65275 + 6.48118i −0.229195 + 0.898778i
\(53\) 1.42173 + 3.43237i 0.195290 + 0.471472i 0.990943 0.134280i \(-0.0428723\pi\)
−0.795653 + 0.605752i \(0.792872\pi\)
\(54\) −7.31309 0.720202i −0.995186 0.0980071i
\(55\) −0.464073 + 0.464073i −0.0625756 + 0.0625756i
\(56\) 0.972876 + 0.624789i 0.130006 + 0.0834909i
\(57\) −9.42200 4.54271i −1.24797 0.601696i
\(58\) 4.24691 12.7645i 0.557646 1.67606i
\(59\) 0.918629 + 2.21777i 0.119595 + 0.288729i 0.972328 0.233618i \(-0.0750566\pi\)
−0.852733 + 0.522347i \(0.825057\pi\)
\(60\) −0.599592 + 0.311511i −0.0774070 + 0.0402159i
\(61\) 8.81133 + 3.64977i 1.12818 + 0.467306i 0.867160 0.498029i \(-0.165943\pi\)
0.261015 + 0.965335i \(0.415943\pi\)
\(62\) 0.756117 + 10.5560i 0.0960269 + 1.34062i
\(63\) −0.763745 0.959504i −0.0962228 0.120886i
\(64\) 7.27492 3.32799i 0.909365 0.415998i
\(65\) 0.652316i 0.0809098i
\(66\) −7.56646 + 3.26749i −0.931367 + 0.402200i
\(67\) −3.76613 + 9.09225i −0.460107 + 1.11080i 0.508247 + 0.861212i \(0.330294\pi\)
−0.968353 + 0.249584i \(0.919706\pi\)
\(68\) −1.59620 + 0.229847i −0.193568 + 0.0278731i
\(69\) −8.21692 9.20321i −0.989201 1.10794i
\(70\) −0.106996 0.0355989i −0.0127884 0.00425488i
\(71\) 2.86762 2.86762i 0.340324 0.340324i −0.516165 0.856489i \(-0.672641\pi\)
0.856489 + 0.516165i \(0.172641\pi\)
\(72\) −8.44169 + 0.858984i −0.994863 + 0.101232i
\(73\) −6.97993 6.97993i −0.816939 0.816939i 0.168725 0.985663i \(-0.446035\pi\)
−0.985663 + 0.168725i \(0.946035\pi\)
\(74\) 2.43401 + 4.86123i 0.282948 + 0.565107i
\(75\) −6.41093 + 5.72389i −0.740271 + 0.660938i
\(76\) −11.7036 2.98449i −1.34249 0.342344i
\(77\) −1.27075 0.526361i −0.144815 0.0599845i
\(78\) 3.02138 7.61427i 0.342104 0.862146i
\(79\) 8.01674 0.901954 0.450977 0.892536i \(-0.351076\pi\)
0.450977 + 0.892536i \(0.351076\pi\)
\(80\) −0.607297 + 0.489819i −0.0678979 + 0.0547635i
\(81\) 8.77067 + 2.01873i 0.974519 + 0.224304i
\(82\) −3.43776 + 3.96825i −0.379637 + 0.438220i
\(83\) 2.47115 5.96589i 0.271244 0.654841i −0.728293 0.685266i \(-0.759686\pi\)
0.999537 + 0.0304247i \(0.00968596\pi\)
\(84\) −1.08404 0.911115i −0.118278 0.0994108i
\(85\) 0.145306 0.0601876i 0.0157606 0.00652826i
\(86\) −4.71117 9.40921i −0.508019 1.01462i
\(87\) −7.15536 + 14.8409i −0.767135 + 1.59111i
\(88\) −7.81560 + 5.43018i −0.833146 + 0.578860i
\(89\) 5.43308 + 5.43308i 0.575905 + 0.575905i 0.933773 0.357867i \(-0.116496\pi\)
−0.357867 + 0.933773i \(0.616496\pi\)
\(90\) 0.777059 0.284610i 0.0819092 0.0300006i
\(91\) 1.26304 0.523167i 0.132402 0.0548428i
\(92\) −11.4065 8.53503i −1.18921 0.889838i
\(93\) 0.732678 12.9408i 0.0759752 1.34190i
\(94\) −0.0403928 0.563918i −0.00416620 0.0581637i
\(95\) 1.17794 0.120854
\(96\) −9.35752 + 2.90463i −0.955047 + 0.296453i
\(97\) 2.61408 0.265419 0.132710 0.991155i \(-0.457632\pi\)
0.132710 + 0.991155i \(0.457632\pi\)
\(98\) 0.690393 + 9.63848i 0.0697402 + 0.973633i
\(99\) 9.70219 2.78555i 0.975107 0.279958i
\(100\) −5.94548 + 7.94577i −0.594548 + 0.794577i
\(101\) 12.1420 5.02940i 1.20818 0.500444i 0.314546 0.949242i \(-0.398148\pi\)
0.893633 + 0.448798i \(0.148148\pi\)
\(102\) 1.97488 0.0295259i 0.195542 0.00292350i
\(103\) 8.46981 + 8.46981i 0.834555 + 0.834555i 0.988136 0.153581i \(-0.0490806\pi\)
−0.153581 + 0.988136i \(0.549081\pi\)
\(104\) 1.67651 9.30934i 0.164395 0.912856i
\(105\) 0.124401 + 0.0599785i 0.0121403 + 0.00585330i
\(106\) −2.35230 4.69804i −0.228476 0.456314i
\(107\) 1.03423 0.428394i 0.0999833 0.0414144i −0.332131 0.943233i \(-0.607768\pi\)
0.432114 + 0.901819i \(0.357768\pi\)
\(108\) 10.3886 + 0.277005i 0.999645 + 0.0266548i
\(109\) −0.703211 + 1.69770i −0.0673554 + 0.162610i −0.953973 0.299894i \(-0.903049\pi\)
0.886617 + 0.462504i \(0.153049\pi\)
\(110\) 0.607732 0.701511i 0.0579450 0.0668865i
\(111\) −2.19625 6.28573i −0.208459 0.596616i
\(112\) −1.43547 0.783027i −0.135639 0.0739891i
\(113\) −1.39540 −0.131268 −0.0656339 0.997844i \(-0.520907\pi\)
−0.0656339 + 0.997844i \(0.520907\pi\)
\(114\) 13.7497 + 5.45594i 1.28777 + 0.510996i
\(115\) 1.28363 + 0.531696i 0.119699 + 0.0495809i
\(116\) −4.70097 + 18.4346i −0.436474 + 1.71161i
\(117\) −4.86112 + 8.77657i −0.449411 + 0.811394i
\(118\) −1.51990 3.03556i −0.139918 0.279446i
\(119\) 0.233075 + 0.233075i 0.0213659 + 0.0213659i
\(120\) 0.814309 0.499999i 0.0743359 0.0456435i
\(121\) 0.227201 0.227201i 0.0206547 0.0206547i
\(122\) −12.7980 4.25808i −1.15868 0.385508i
\(123\) 4.79661 4.28257i 0.432495 0.386146i
\(124\) −2.13316 14.8139i −0.191563 1.33033i
\(125\) 0.743597 1.79520i 0.0665093 0.160568i
\(126\) 1.17429 + 1.27631i 0.104614 + 0.113703i
\(127\) 6.87310i 0.609889i −0.952370 0.304944i \(-0.901362\pi\)
0.952370 0.304944i \(-0.0986379\pi\)
\(128\) −9.92574 + 5.42951i −0.877320 + 0.479906i
\(129\) 4.25097 + 12.1664i 0.374277 + 1.07119i
\(130\) 0.0659097 + 0.920156i 0.00578067 + 0.0807030i
\(131\) −16.0581 6.65149i −1.40300 0.581143i −0.452474 0.891778i \(-0.649458\pi\)
−0.950529 + 0.310635i \(0.899458\pi\)
\(132\) 10.3431 5.37363i 0.900252 0.467715i
\(133\) 0.944722 + 2.28076i 0.0819178 + 0.197767i
\(134\) 4.39383 13.2061i 0.379569 1.14083i
\(135\) −0.988424 + 0.224175i −0.0850700 + 0.0192939i
\(136\) 2.22838 0.485502i 0.191082 0.0416315i
\(137\) −10.7787 + 10.7787i −0.920890 + 0.920890i −0.997092 0.0762022i \(-0.975721\pi\)
0.0762022 + 0.997092i \(0.475721\pi\)
\(138\) 12.5207 + 12.1518i 1.06583 + 1.03443i
\(139\) −1.41183 3.40847i −0.119750 0.289102i 0.852626 0.522521i \(-0.175009\pi\)
−0.972376 + 0.233419i \(0.925009\pi\)
\(140\) 0.154525 + 0.0394050i 0.0130597 + 0.00333033i
\(141\) −0.0391407 + 0.691318i −0.00329624 + 0.0582195i
\(142\) −3.75532 + 4.33481i −0.315140 + 0.363769i
\(143\) 11.2526i 0.940990i
\(144\) 11.8211 2.06463i 0.985088 0.172052i
\(145\) 1.85541i 0.154083i
\(146\) 10.5511 + 9.14063i 0.873218 + 0.756484i
\(147\) 0.668992 11.8160i 0.0551776 0.974567i
\(148\) −3.92459 6.61132i −0.322599 0.543447i
\(149\) −6.49923 15.6905i −0.532438 1.28542i −0.929904 0.367802i \(-0.880111\pi\)
0.397466 0.917617i \(1.63011\pi\)
\(150\) 8.46492 8.72187i 0.691158 0.712138i
\(151\) −1.50166 + 1.50166i −0.122204 + 0.122204i −0.765564 0.643360i \(-0.777540\pi\)
0.643360 + 0.765564i \(0.277540\pi\)
\(152\) 16.8106 + 3.02740i 1.36352 + 0.245554i
\(153\) −2.40354 0.273040i −0.194315 0.0220740i
\(154\) 1.84570 + 0.614089i 0.148731 + 0.0494847i
\(155\) 0.558586 + 1.34855i 0.0448667 + 0.108318i
\(156\) −3.49262 + 11.0460i −0.279633 + 0.884385i
\(157\) 12.7594 + 5.28511i 1.01831 + 0.421798i 0.828480 0.560019i \(-0.189206\pi\)
0.189830 + 0.981817i \(0.439206\pi\)
\(158\) −11.3084 + 0.810009i −0.899649 + 0.0644408i
\(159\) 2.12252 + 6.07473i 0.168327 + 0.481757i
\(160\) 0.807162 0.752300i 0.0638117 0.0594745i
\(161\) 2.91184i 0.229485i
\(162\) −12.5759 1.96144i −0.988054 0.154105i
\(163\) 3.02496 7.30291i 0.236933 0.572008i −0.760029 0.649889i \(-0.774815\pi\)
0.996963 + 0.0778809i \(0.0248154\pi\)
\(164\) 4.44836 5.94496i 0.347358 0.464223i
\(165\) −0.847950 + 0.757077i −0.0660128 + 0.0589384i
\(166\) −2.88301 + 8.66516i −0.223765 + 0.672547i
\(167\) 1.65109 1.65109i 0.127765 0.127765i −0.640333 0.768098i \(-0.721203\pi\)
0.768098 + 0.640333i \(0.221203\pi\)
\(168\) 1.62120 + 1.17569i 0.125079 + 0.0907062i
\(169\) 1.28389 + 1.28389i 0.0987607 + 0.0987607i
\(170\) −0.198887 + 0.0995822i −0.0152539 + 0.00763761i
\(171\) −15.8485 8.77810i −1.21197 0.671278i
\(172\) 7.59628 + 12.7966i 0.579211 + 0.975733i
\(173\) −9.81571 4.06580i −0.746275 0.309117i −0.0230541 0.999734i \(-0.507339\pi\)
−0.723221 + 0.690617i \(0.757339\pi\)
\(174\) 8.59383 21.6575i 0.651497 1.64185i
\(175\) 2.02838 0.153331
\(176\) 10.4760 8.44950i 0.789659 0.636905i
\(177\) 1.37143 + 3.92508i 0.103083 + 0.295027i
\(178\) −8.21286 7.11494i −0.615580 0.533288i
\(179\) −6.28126 + 15.1643i −0.469484 + 1.13343i 0.494906 + 0.868947i \(0.335203\pi\)
−0.964389 + 0.264487i \(0.914797\pi\)
\(180\) −1.06736 + 0.479985i −0.0795565 + 0.0357760i
\(181\) 4.93385 2.04367i 0.366730 0.151905i −0.191705 0.981453i \(-0.561402\pi\)
0.558436 + 0.829548i \(0.311402\pi\)
\(182\) −1.72878 + 0.865596i −0.128146 + 0.0641622i
\(183\) 14.8799 + 7.17418i 1.09996 + 0.530331i
\(184\) 16.9524 + 10.8870i 1.24975 + 0.802600i
\(185\) 0.530208 + 0.530208i 0.0389816 + 0.0389816i
\(186\) 0.274022 + 18.3284i 0.0200923 + 1.34390i
\(187\) −2.50656 + 1.03825i −0.183298 + 0.0759244i
\(188\) 0.113956 + 0.791382i 0.00831111 + 0.0577174i
\(189\) −1.22679 1.73403i −0.0892356 0.126132i
\(190\) −1.66160 + 0.119018i −0.120545 + 0.00863449i
\(191\) 11.6455 0.842637 0.421318 0.906913i \(-0.361567\pi\)
0.421318 + 0.906913i \(0.361567\pi\)
\(192\) 12.9062 5.04276i 0.931426 0.363930i
\(193\) −6.03220 −0.434207 −0.217104 0.976149i \(-0.569661\pi\)
−0.217104 + 0.976149i \(0.569661\pi\)
\(194\) −3.68742 + 0.264126i −0.264741 + 0.0189631i
\(195\) 0.0638667 1.12804i 0.00457359 0.0807804i
\(196\) −1.94774 13.5263i −0.139124 0.966162i
\(197\) −0.581435 + 0.240838i −0.0414255 + 0.0171590i −0.403300 0.915068i \(-0.632137\pi\)
0.361874 + 0.932227i \(0.382137\pi\)
\(198\) −13.4045 + 4.90960i −0.952613 + 0.348910i
\(199\) −13.6071 13.6071i −0.964583 0.964583i 0.0348110 0.999394i \(-0.488917\pi\)
−0.999394 + 0.0348110i \(0.988917\pi\)
\(200\) 7.58385 11.8090i 0.536259 0.835024i
\(201\) −7.40291 + 15.3543i −0.522161 + 1.08301i
\(202\) −16.6194 + 8.32130i −1.16934 + 0.585484i
\(203\) 3.59250 1.48806i 0.252144 0.104442i
\(204\) −2.78278 + 0.241191i −0.194834 + 0.0168867i
\(205\) −0.277114 + 0.669012i −0.0193545 + 0.0467259i
\(206\) −12.8033 11.0917i −0.892048 0.772797i
\(207\) −13.3083 16.7194i −0.924991 1.16208i
\(208\) −1.42427 + 13.3011i −0.0987551 + 0.922268i
\(209\) −20.3197 −1.40554
\(210\) −0.181540 0.0720362i −0.0125275 0.00497097i
\(211\) −6.94196 2.87545i −0.477904 0.197954i 0.130710 0.991421i \(-0.458274\pi\)
−0.608614 + 0.793466i \(0.708274\pi\)
\(212\) 3.79284 + 6.38938i 0.260493 + 0.438824i
\(213\) 5.23969 4.67816i 0.359017 0.320542i
\(214\) −1.41561 + 0.708791i −0.0967689 + 0.0484520i
\(215\) −1.02625 1.02625i −0.0699896 0.0699896i
\(216\) −14.6822 + 0.658919i −0.998994 + 0.0448338i
\(217\) −2.16311 + 2.16311i −0.146841 + 0.146841i
\(218\) 0.820413 2.46583i 0.0555654 0.167007i
\(219\) −11.3869 12.7536i −0.769453 0.861811i
\(220\) −0.786386 + 1.05096i −0.0530181 + 0.0708555i
\(221\) 1.03195 2.49135i 0.0694164 0.167586i
\(222\) 3.73313 + 8.64475i 0.250552 + 0.580197i
\(223\) 6.45182i 0.432046i 0.976388 + 0.216023i \(0.0693086\pi\)
−0.976388 + 0.216023i \(0.930691\pi\)
\(224\) 2.10399 + 0.959499i 0.140578 + 0.0641092i
\(225\) −11.6467 + 9.27054i −0.776448 + 0.618036i
\(226\) 1.96835 0.140990i 0.130932 0.00937854i
\(227\) −3.16606 1.31143i −0.210139 0.0870424i 0.275131 0.961407i \(-0.411279\pi\)
−0.485270 + 0.874364i \(0.661279\pi\)
\(228\) −19.9465 6.30689i −1.32099 0.417684i
\(229\) 8.63723 + 20.8521i 0.570764 + 1.37795i 0.900905 + 0.434015i \(0.142904\pi\)
−0.330141 + 0.943932i \(0.607096\pi\)
\(230\) −1.86441 0.620313i −0.122935 0.0409022i
\(231\) −2.14595 1.03464i −0.141193 0.0680745i
\(232\) 4.76855 26.4789i 0.313071 1.73842i
\(233\) 15.5223 15.5223i 1.01690 1.01690i 0.0170465 0.999855i \(-0.494574\pi\)
0.999855 0.0170465i \(-0.00542634\pi\)
\(234\) 5.97032 12.8714i 0.390292 0.841429i
\(235\) −0.0298404 0.0720412i −0.00194658 0.00469945i
\(236\) 2.45068 + 4.12839i 0.159526 + 0.268735i
\(237\) 13.8632 + 0.784900i 0.900512 + 0.0509847i
\(238\) −0.352325 0.305225i −0.0228378 0.0197848i
\(239\) 22.3335i 1.44463i 0.691563 + 0.722316i \(0.256922\pi\)
−0.691563 + 0.722316i \(0.743078\pi\)
\(240\) −1.09814 + 0.787576i −0.0708849 + 0.0508378i
\(241\) 10.0345i 0.646380i 0.946334 + 0.323190i \(0.104755\pi\)
−0.946334 + 0.323190i \(0.895245\pi\)
\(242\) −0.297534 + 0.343447i −0.0191262 + 0.0220776i
\(243\) 14.9693 + 4.34968i 0.960282 + 0.279032i
\(244\) 18.4831 + 4.71333i 1.18326 + 0.301740i
\(245\) 0.510032 + 1.23133i 0.0325848 + 0.0786666i
\(246\) −6.33338 + 6.52563i −0.403802 + 0.416059i
\(247\) 14.2810 14.2810i 0.908677 0.908677i
\(248\) 4.50582 + 20.6810i 0.286120 + 1.31324i
\(249\) 4.85742 10.0748i 0.307827 0.638462i
\(250\) −0.867531 + 2.60744i −0.0548675 + 0.164909i
\(251\) −1.23078 2.97137i −0.0776862 0.187551i 0.880265 0.474483i \(-0.157365\pi\)
−0.957951 + 0.286931i \(0.907365\pi\)
\(252\) −1.78540 1.68171i −0.112470 0.105938i
\(253\) −22.1429 9.17189i −1.39211 0.576632i
\(254\) 0.694455 + 9.69519i 0.0435740 + 0.608330i
\(255\) 0.257167 0.0898547i 0.0161044 0.00562692i
\(256\) 13.4527 8.66176i 0.840791 0.541360i
\(257\) 22.7842i 1.42124i −0.703576 0.710620i \(-0.748415\pi\)
0.703576 0.710620i \(-0.251585\pi\)
\(258\) −7.22571 16.7324i −0.449853 1.04172i
\(259\) −0.601372 + 1.45184i −0.0373675 + 0.0902130i
\(260\) −0.185944 1.29131i −0.0115318 0.0800838i
\(261\) −13.8267 + 24.9635i −0.855850 + 1.54520i
\(262\) 23.3236 + 7.76008i 1.44094 + 0.479419i
\(263\) 12.8553 12.8553i 0.792690 0.792690i −0.189241 0.981931i \(-0.560603\pi\)
0.981931 + 0.189241i \(0.0606027\pi\)
\(264\) −14.0470 + 8.62511i −0.864535 + 0.530839i
\(265\) −0.512409 0.512409i −0.0314770 0.0314770i
\(266\) −1.56307 3.12179i −0.0958381 0.191409i
\(267\) 8.86338 + 9.92726i 0.542430 + 0.607539i
\(268\) −4.86360 + 19.0724i −0.297092 + 1.16503i
\(269\) 11.7742 + 4.87704i 0.717886 + 0.297358i 0.711564 0.702622i \(-0.247987\pi\)
0.00632279 + 0.999980i \(0.497987\pi\)
\(270\) 1.37162 0.416091i 0.0834741 0.0253225i
\(271\) −11.6627 −0.708457 −0.354228 0.935159i \(-0.615256\pi\)
−0.354228 + 0.935159i \(0.615256\pi\)
\(272\) −3.09429 + 0.910004i −0.187619 + 0.0551771i
\(273\) 2.23537 0.781042i 0.135291 0.0472708i
\(274\) 14.1154 16.2936i 0.852743 0.984331i
\(275\) −6.38912 + 15.4247i −0.385278 + 0.930144i
\(276\) −18.8895 15.8762i −1.13701 0.955638i
\(277\) 8.48904 3.51628i 0.510057 0.211273i −0.112786 0.993619i \(-0.535977\pi\)
0.622843 + 0.782347i \(0.285977\pi\)
\(278\) 2.33592 + 4.66533i 0.140099 + 0.279808i
\(279\) 2.53401 22.3066i 0.151707 1.33546i
\(280\) −0.221954 0.0399715i −0.0132643 0.00238875i
\(281\) 22.3102 + 22.3102i 1.33091 + 1.33091i 0.904553 + 0.426362i \(0.140205\pi\)
0.426362 + 0.904553i \(0.359795\pi\)
\(282\) −0.0146387 0.979128i −0.000871720 0.0583062i
\(283\) −9.95203 + 4.12227i −0.591587 + 0.245043i −0.658333 0.752727i \(-0.728738\pi\)
0.0667462 + 0.997770i \(0.478738\pi\)
\(284\) 4.85927 6.49411i 0.288344 0.385355i
\(285\) 2.03698 + 0.115329i 0.120660 + 0.00683150i
\(286\) −1.13696 15.8729i −0.0672298 0.938585i
\(287\) −1.51762 −0.0895820
\(288\) −16.4662 + 4.10676i −0.970278 + 0.241993i
\(289\) −16.3498 −0.961755
\(290\) 0.187469 + 2.61723i 0.0110086 + 0.153689i
\(291\) 4.52048 + 0.255938i 0.264995 + 0.0150034i
\(292\) −15.8070 11.8277i −0.925034 0.692163i
\(293\) 23.2108 9.61422i 1.35599 0.561669i 0.418035 0.908431i \(-0.362719\pi\)
0.937953 + 0.346762i \(0.112719\pi\)
\(294\) 0.250204 + 16.7352i 0.0145922 + 0.976019i
\(295\) −0.331084 0.331084i −0.0192765 0.0192765i
\(296\) 6.20403 + 8.92939i 0.360602 + 0.519010i
\(297\) 17.0505 3.86707i 0.989373 0.224390i
\(298\) 10.7532 + 21.4764i 0.622915 + 1.24409i
\(299\) 22.0085 9.11622i 1.27279 0.527205i
\(300\) −11.0594 + 13.1584i −0.638512 + 0.759698i
\(301\) 1.16399 2.81013i 0.0670914 0.161973i
\(302\) 1.96652 2.26997i 0.113160 0.130622i
\(303\) 21.4894 7.50845i 1.23454 0.431349i
\(304\) −24.0189 2.57191i −1.37758 0.147509i
\(305\) −1.86029 −0.106520
\(306\) 3.41802 + 0.142297i 0.195395 + 0.00813460i
\(307\) 18.3982 + 7.62077i 1.05004 + 0.434940i 0.839906 0.542733i \(-0.182610\pi\)
0.210133 + 0.977673i \(0.432610\pi\)
\(308\) −2.66559 0.679745i −0.151886 0.0387321i
\(309\) 13.8174 + 15.4759i 0.786046 + 0.880395i
\(310\) −0.924197 1.84582i −0.0524909 0.104835i
\(311\) −0.938468 0.938468i −0.0532157 0.0532157i 0.679998 0.733214i \(-0.261981\pi\)
−0.733214 + 0.679998i \(0.761981\pi\)
\(312\) 3.81061 15.9343i 0.215733 0.902103i
\(313\) 11.2850 11.2850i 0.637867 0.637867i −0.312162 0.950029i \(-0.601053\pi\)
0.950029 + 0.312162i \(0.101053\pi\)
\(314\) −18.5324 6.16597i −1.04584 0.347966i
\(315\) 0.209252 + 0.115899i 0.0117900 + 0.00653020i
\(316\) 15.8698 2.28520i 0.892746 0.128552i
\(317\) −7.57388 + 18.2850i −0.425391 + 1.02699i 0.555340 + 0.831623i \(0.312588\pi\)
−0.980731 + 0.195362i \(0.937412\pi\)
\(318\) −3.60781 8.35455i −0.202316 0.468500i
\(319\) 32.0062i 1.79200i
\(320\) −1.06257 + 1.14275i −0.0593994 + 0.0638816i
\(321\) 1.83043 0.639555i 0.102164 0.0356965i
\(322\) −0.294211 4.10743i −0.0163957 0.228898i
\(323\) 4.49881 + 1.86347i 0.250321 + 0.103686i
\(324\) 17.9377 + 1.49614i 0.996540 + 0.0831191i
\(325\) −6.35034 15.3311i −0.352253 0.850415i
\(326\) −3.52913 + 10.6071i −0.195460 + 0.587474i
\(327\) −1.38227 + 2.86695i −0.0764395 + 0.158543i
\(328\) −5.67417 + 8.83542i −0.313304 + 0.487854i
\(329\) 0.115556 0.115556i 0.00637082 0.00637082i
\(330\) 1.11962 1.15361i 0.0616332 0.0635041i
\(331\) −4.79305 11.5714i −0.263450 0.636024i 0.735698 0.677310i \(-0.236855\pi\)
−0.999147 + 0.0412860i \(0.986855\pi\)
\(332\) 3.19125 12.5144i 0.175143 0.686815i
\(333\) −3.18251 11.0848i −0.174400 0.607445i
\(334\) −2.16220 + 2.49585i −0.118310 + 0.136567i
\(335\) 1.91959i 0.104879i
\(336\) −2.40566 1.49462i −0.131240 0.0815381i
\(337\) 7.03034i 0.382967i −0.981496 0.191484i \(-0.938670\pi\)
0.981496 0.191484i \(-0.0613299\pi\)
\(338\) −1.94078 1.68133i −0.105564 0.0914523i
\(339\) −2.41303 0.136620i −0.131058 0.00742018i
\(340\) 0.270488 0.160566i 0.0146693 0.00870792i
\(341\) −9.63574 23.2627i −0.521804 1.25975i
\(342\) 23.2429 + 10.7811i 1.25683 + 0.582973i
\(343\) −3.99847 + 3.99847i −0.215897 + 0.215897i
\(344\) −12.0083 17.2834i −0.647443 0.931857i
\(345\) 2.16770 + 1.04513i 0.116705 + 0.0562679i
\(346\) 14.2568 + 4.74344i 0.766453 + 0.255009i
\(347\) 4.70857 + 11.3675i 0.252769 + 0.610240i 0.998426 0.0560914i \(-0.0178638\pi\)
−0.745656 + 0.666331i \(0.767864\pi\)
\(348\) −9.93418 + 31.4184i −0.532528 + 1.68420i
\(349\) −29.2204 12.1035i −1.56413 0.647885i −0.578332 0.815802i \(-0.696296\pi\)
−0.985801 + 0.167917i \(0.946296\pi\)
\(350\) −2.86123 + 0.204947i −0.152939 + 0.0109549i
\(351\) −9.26554 + 14.7012i −0.494558 + 0.784693i
\(352\) −13.9237 + 12.9774i −0.742137 + 0.691695i
\(353\) 14.9632i 0.796411i −0.917296 0.398206i \(-0.869633\pi\)
0.917296 0.398206i \(-0.130367\pi\)
\(354\) −2.33113 5.39815i −0.123898 0.286908i
\(355\) −0.302712 + 0.730811i −0.0160663 + 0.0387874i
\(356\) 12.3039 + 9.20651i 0.652108 + 0.487944i
\(357\) 0.380232 + 0.425872i 0.0201240 + 0.0225395i
\(358\) 7.32815 22.0254i 0.387305 1.16408i
\(359\) −19.5707 + 19.5707i −1.03290 + 1.03290i −0.0334594 + 0.999440i \(0.510652\pi\)
−0.999440 + 0.0334594i \(0.989348\pi\)
\(360\) 1.45712 0.784913i 0.0767971 0.0413685i
\(361\) 12.3532 + 12.3532i 0.650170 + 0.650170i
\(362\) −6.75320 + 3.38131i −0.354940 + 0.177718i
\(363\) 0.415140 0.370650i 0.0217892 0.0194541i
\(364\) 2.35115 1.39568i 0.123234 0.0731537i
\(365\) 1.77883 + 0.736815i 0.0931082 + 0.0385667i
\(366\) −21.7145 8.61644i −1.13504 0.450388i
\(367\) −21.5484 −1.12482 −0.562410 0.826859i \(-0.690126\pi\)
−0.562410 + 0.826859i \(0.690126\pi\)
\(368\) −25.0131 13.6443i −1.30390 0.711259i
\(369\) 8.71398 6.93614i 0.453632 0.361081i
\(370\) −0.801482 0.694338i −0.0416671 0.0360969i
\(371\) 0.581184 1.40310i 0.0301736 0.0728455i
\(372\) −2.23843 25.8263i −0.116057 1.33903i
\(373\) −27.1858 + 11.2607i −1.40763 + 0.583059i −0.951720 0.306967i \(-0.900686\pi\)
−0.455910 + 0.890026i \(0.650686\pi\)
\(374\) 3.43085 1.71782i 0.177405 0.0888262i
\(375\) 1.46165 3.03160i 0.0754794 0.156551i
\(376\) −0.240707 1.10481i −0.0124135 0.0569761i
\(377\) −22.4944 22.4944i −1.15852 1.15852i
\(378\) 1.90571 + 2.32207i 0.0980192 + 0.119434i
\(379\) −11.5245 + 4.77361i −0.591975 + 0.245204i −0.658500 0.752581i \(-0.728809\pi\)
0.0665251 + 0.997785i \(0.478809\pi\)
\(380\) 2.33182 0.335774i 0.119620 0.0172249i
\(381\) 0.672929 11.8855i 0.0344752 0.608914i
\(382\) −16.4271 + 1.17665i −0.840484 + 0.0602029i
\(383\) −33.6911 −1.72154 −0.860768 0.508998i \(-0.830016\pi\)
−0.860768 + 0.508998i \(0.830016\pi\)
\(384\) −17.6960 + 8.41735i −0.903045 + 0.429546i
\(385\) 0.268286 0.0136731
\(386\) 8.50902 0.609492i 0.433098 0.0310223i
\(387\) 6.15994 + 21.4554i 0.313127 + 1.09064i
\(388\) 5.17478 0.745151i 0.262710 0.0378293i
\(389\) −34.0564 + 14.1066i −1.72673 + 0.715233i −0.727139 + 0.686490i \(0.759151\pi\)
−0.999587 + 0.0287433i \(0.990849\pi\)
\(390\) 0.0238862 + 1.59766i 0.00120952 + 0.0809008i
\(391\) 4.06135 + 4.06135i 0.205391 + 0.205391i
\(392\) 4.11417 + 18.8834i 0.207797 + 0.953754i
\(393\) −27.1178 13.0745i −1.36791 0.659521i
\(394\) 0.795838 0.398474i 0.0400937 0.0200749i
\(395\) −1.44466 + 0.598399i −0.0726889 + 0.0301087i
\(396\) 18.4123 8.27986i 0.925251 0.416078i
\(397\) 11.3891 27.4958i 0.571604 1.37997i −0.328586 0.944474i \(-0.606572\pi\)
0.900189 0.435499i \(-0.143428\pi\)
\(398\) 20.5690 + 17.8193i 1.03103 + 0.893202i
\(399\) 1.41039 + 4.03657i 0.0706077 + 0.202081i
\(400\) −9.50460 + 17.4241i −0.475230 + 0.871204i
\(401\) 9.31753 0.465295 0.232648 0.972561i \(-0.425261\pi\)
0.232648 + 0.972561i \(0.425261\pi\)
\(402\) 8.89114 22.4068i 0.443450 1.11755i
\(403\) 23.1215 + 9.57726i 1.15177 + 0.477077i
\(404\) 22.6025 13.4172i 1.12452 0.667532i
\(405\) −1.73121 + 0.290888i −0.0860246 + 0.0144543i
\(406\) −4.91723 + 2.46205i −0.244038 + 0.122189i
\(407\) −9.14621 9.14621i −0.453361 0.453361i
\(408\) 3.90102 0.621395i 0.193130 0.0307636i
\(409\) 17.7916 17.7916i 0.879736 0.879736i −0.113771 0.993507i \(-0.536293\pi\)
0.993507 + 0.113771i \(0.0362930\pi\)
\(410\) 0.323300 0.971708i 0.0159667 0.0479892i
\(411\) −19.6948 + 17.5842i −0.971473 + 0.867363i
\(412\) 19.1810 + 14.3523i 0.944981 + 0.707089i
\(413\) 0.375523 0.906592i 0.0184783 0.0446105i
\(414\) 20.4620 + 22.2398i 1.00565 + 1.09302i
\(415\) 1.25954i 0.0618285i
\(416\) 0.665128 18.9065i 0.0326106 0.926967i
\(417\) −2.10774 6.03242i −0.103217 0.295409i
\(418\) 28.6629 2.05309i 1.40195 0.100420i
\(419\) 9.75715 + 4.04154i 0.476668 + 0.197442i 0.608065 0.793888i \(-0.291946\pi\)
−0.131397 + 0.991330i \(0.541946\pi\)
\(420\) 0.263359 + 0.0832714i 0.0128506 + 0.00406323i
\(421\) 1.73340 + 4.18479i 0.0844806 + 0.203954i 0.960474 0.278368i \(-0.0897935\pi\)
−0.875994 + 0.482322i \(0.839793\pi\)
\(422\) 10.0829 + 3.35470i 0.490826 + 0.163304i
\(423\) −0.135371 + 1.19165i −0.00658195 + 0.0579401i
\(424\) −5.99576 8.62963i −0.291180 0.419092i
\(425\) 2.82912 2.82912i 0.137233 0.137233i
\(426\) −6.91842 + 7.12843i −0.335198 + 0.345373i
\(427\) −1.49198 3.60195i −0.0722018 0.174311i
\(428\) 1.92524 1.14285i 0.0930599 0.0552419i
\(429\) −1.10172 + 19.4589i −0.0531913 + 0.939485i
\(430\) 1.55132 + 1.34393i 0.0748112 + 0.0648103i
\(431\) 24.2865i 1.16984i −0.811092 0.584919i \(-0.801126\pi\)
0.811092 0.584919i \(-0.198874\pi\)
\(432\) 20.6441 2.41295i 0.993238 0.116093i
\(433\) 21.4987i 1.03316i 0.856239 + 0.516580i \(0.172795\pi\)
−0.856239 + 0.516580i \(0.827205\pi\)
\(434\) 2.83272 3.26984i 0.135975 0.156957i
\(435\) 0.181658 3.20852i 0.00870985 0.153837i
\(436\) −0.908128 + 3.56119i −0.0434915 + 0.170550i
\(437\) 16.4619 + 39.7424i 0.787478 + 1.90114i
\(438\) 17.3509 + 16.8398i 0.829060 + 0.804635i
\(439\) −1.71247 + 1.71247i −0.0817316 + 0.0817316i −0.746791 0.665059i \(-0.768406\pi\)
0.665059 + 0.746791i \(0.268406\pi\)
\(440\) 1.00309 1.56194i 0.0478203 0.0744623i
\(441\) 2.31375 20.3677i 0.110179 0.969890i
\(442\) −1.20394 + 3.61856i −0.0572657 + 0.172117i
\(443\) 1.69988 + 4.10388i 0.0807639 + 0.194981i 0.959103 0.283056i \(-0.0913483\pi\)
−0.878339 + 0.478037i \(0.841348\pi\)
\(444\) −6.13942 11.8171i −0.291364 0.560814i
\(445\) −1.38462 0.573527i −0.0656371 0.0271878i
\(446\) −0.651889 9.10093i −0.0308679 0.430942i
\(447\) −9.70278 27.7697i −0.458926 1.31346i
\(448\) −3.06483 1.14088i −0.144800 0.0539016i
\(449\) 6.34782i 0.299572i 0.988718 + 0.149786i \(0.0478585\pi\)
−0.988718 + 0.149786i \(0.952142\pi\)
\(450\) 15.4922 14.2538i 0.730308 0.671930i
\(451\) 4.78028 11.5406i 0.225095 0.543427i
\(452\) −2.76230 + 0.397762i −0.129928 + 0.0187091i
\(453\) −2.74382 + 2.44977i −0.128916 + 0.115100i
\(454\) 4.59855 + 1.53000i 0.215821 + 0.0718064i
\(455\) −0.188555 + 0.188555i −0.00883961 + 0.00883961i
\(456\) 28.7738 + 6.88110i 1.34746 + 0.322237i
\(457\) 10.0211 + 10.0211i 0.468765 + 0.468765i 0.901514 0.432749i \(-0.142456\pi\)
−0.432749 + 0.901514i \(0.642456\pi\)
\(458\) −14.2906 28.5413i −0.667754 1.33365i
\(459\) −4.12966 0.707488i −0.192756 0.0330227i
\(460\) 2.69261 + 0.686634i 0.125544 + 0.0320145i
\(461\) −19.1656 7.93865i −0.892631 0.369740i −0.111249 0.993793i \(-0.535485\pi\)
−0.781382 + 0.624053i \(0.785485\pi\)
\(462\) 3.13161 + 1.24264i 0.145696 + 0.0578129i
\(463\) 30.9634 1.43899 0.719496 0.694496i \(-0.244373\pi\)
0.719496 + 0.694496i \(0.244373\pi\)
\(464\) −4.05109 + 37.8329i −0.188067 + 1.75635i
\(465\) 0.833919 + 2.38670i 0.0386721 + 0.110681i
\(466\) −20.3274 + 23.4642i −0.941649 + 1.08696i
\(467\) 2.87599 6.94326i 0.133085 0.321296i −0.843263 0.537502i \(-0.819368\pi\)
0.976348 + 0.216206i \(0.0693682\pi\)
\(468\) −7.12121 + 18.7596i −0.329178 + 0.867164i
\(469\) 3.71679 1.53954i 0.171625 0.0710895i
\(470\) 0.0493719 + 0.0986062i 0.00227736 + 0.00454837i
\(471\) 21.5471 + 10.3887i 0.992839 + 0.478685i
\(472\) −3.87406 5.57589i −0.178318 0.256651i
\(473\) 17.7030 + 17.7030i 0.813987 + 0.813987i
\(474\) −19.6347 + 0.293553i −0.901853 + 0.0134834i
\(475\) 27.6845 11.4673i 1.27025 0.526155i
\(476\) 0.527829 + 0.394952i 0.0241930 + 0.0181026i
\(477\) 3.07567 + 10.7127i 0.140825 + 0.490502i
\(478\) −2.25657 31.5036i −0.103213 1.44094i
\(479\) −12.3852 −0.565894 −0.282947 0.959136i \(-0.591312\pi\)
−0.282947 + 0.959136i \(0.591312\pi\)
\(480\) 1.46947 1.22191i 0.0670716 0.0557723i
\(481\) 12.8562 0.586192
\(482\) −1.01388 14.1547i −0.0461812 0.644729i
\(483\) −0.285091 + 5.03538i −0.0129721 + 0.229118i
\(484\) 0.384999 0.514528i 0.0175000 0.0233876i
\(485\) −0.471072 + 0.195124i −0.0213903 + 0.00886014i
\(486\) −21.5552 4.62316i −0.977764 0.209711i
\(487\) −8.82766 8.82766i −0.400019 0.400019i 0.478220 0.878240i \(-0.341282\pi\)
−0.878240 + 0.478220i \(0.841282\pi\)
\(488\) −26.5485 4.78109i −1.20180 0.216430i
\(489\) 5.94602 12.3326i 0.268889 0.557700i
\(490\) −0.843864 1.68538i −0.0381219 0.0761375i
\(491\) −9.13225 + 3.78270i −0.412133 + 0.170711i −0.579109 0.815250i \(-0.696600\pi\)
0.166977 + 0.985961i \(0.446600\pi\)
\(492\) 8.27452 9.84498i 0.373044 0.443846i
\(493\) 2.93521 7.08623i 0.132195 0.319148i
\(494\) −18.7018 + 21.5877i −0.841434 + 0.971276i
\(495\) −1.54047 + 1.22618i −0.0692389 + 0.0551126i
\(496\) −8.44551 28.7173i −0.379215 1.28945i
\(497\) −1.65780 −0.0743626
\(498\) −5.83393 + 14.7022i −0.261425 + 0.658823i
\(499\) −4.86758 2.01622i −0.217903 0.0902583i 0.271062 0.962562i \(-0.412625\pi\)
−0.488965 + 0.872304i \(0.662625\pi\)
\(500\) 0.960283 3.76571i 0.0429452 0.168408i
\(501\) 3.01685 2.69354i 0.134783 0.120339i
\(502\) 2.03637 + 4.06705i 0.0908875 + 0.181522i
\(503\) −0.926311 0.926311i −0.0413022 0.0413022i 0.686154 0.727456i \(-0.259298\pi\)
−0.727456 + 0.686154i \(0.759298\pi\)
\(504\) 2.68841 + 2.19182i 0.119751 + 0.0976315i
\(505\) −1.81265 + 1.81265i −0.0806620 + 0.0806620i
\(506\) 32.1615 + 10.7006i 1.42975 + 0.475698i
\(507\) 2.09450 + 2.34591i 0.0930201 + 0.104185i
\(508\) −1.95920 13.6059i −0.0869253 0.603662i
\(509\) 1.79808 4.34096i 0.0796987 0.192410i −0.879008 0.476808i \(-0.841794\pi\)
0.958706 + 0.284398i \(0.0917938\pi\)
\(510\) −0.353681 + 0.152733i −0.0156613 + 0.00676314i
\(511\) 4.03517i 0.178505i
\(512\) −18.1011 + 13.5775i −0.799964 + 0.600048i
\(513\) −26.5471 16.7315i −1.17208 0.738714i
\(514\) 2.30211 + 32.1394i 0.101542 + 1.41761i
\(515\) −2.15853 0.894090i −0.0951160 0.0393983i
\(516\) 11.8832 + 22.8727i 0.523130 + 1.00691i
\(517\) 0.514755 + 1.24273i 0.0226389 + 0.0546551i
\(518\) 0.701602 2.10873i 0.0308266 0.0926522i
\(519\) −16.5761 7.99195i −0.727608 0.350807i
\(520\) 0.392767 + 1.80274i 0.0172240 + 0.0790552i
\(521\) −12.3969 + 12.3969i −0.543120 + 0.543120i −0.924442 0.381322i \(-0.875469\pi\)
0.381322 + 0.924442i \(0.375469\pi\)
\(522\) 16.9816 36.6106i 0.743264 1.60240i
\(523\) −5.71533 13.7980i −0.249914 0.603346i 0.748282 0.663380i \(-0.230879\pi\)
−0.998196 + 0.0600346i \(0.980879\pi\)
\(524\) −33.6844 8.58975i −1.47151 0.375245i
\(525\) 3.50764 + 0.198594i 0.153086 + 0.00866734i
\(526\) −16.8347 + 19.4325i −0.734030 + 0.847299i
\(527\) 6.03408i 0.262849i
\(528\) 18.9433 13.5859i 0.824399 0.591250i
\(529\) 27.7390i 1.20604i
\(530\) 0.774577 + 0.671030i 0.0336455 + 0.0291477i
\(531\) 1.98730 + 6.92184i 0.0862413 + 0.300382i
\(532\) 2.52029 + 4.24566i 0.109269 + 0.184073i
\(533\) 4.75127 + 11.4706i 0.205800 + 0.496846i
\(534\) −13.5057 13.1078i −0.584450 0.567232i
\(535\) −0.154398 + 0.154398i −0.00667521 + 0.00667521i
\(536\) 4.93352 27.3949i 0.213096 1.18328i
\(537\) −12.3468 + 25.6084i −0.532802 + 1.10508i
\(538\) −17.1015 5.68989i −0.737297 0.245308i
\(539\) −8.79818 21.2407i −0.378964 0.914901i
\(540\) −1.89276 + 0.725526i −0.0814516 + 0.0312217i
\(541\) 16.5235 + 6.84424i 0.710399 + 0.294257i 0.708470 0.705741i \(-0.249386\pi\)
0.00192927 + 0.999998i \(0.499386\pi\)
\(542\) 16.4514 1.17839i 0.706646 0.0506163i
\(543\) 8.73211 3.05102i 0.374731 0.130932i
\(544\) 4.27286 1.59630i 0.183197 0.0684407i
\(545\) 0.358426i 0.0153533i
\(546\) −3.07429 + 1.32760i −0.131568 + 0.0568160i
\(547\) 2.24912 5.42985i 0.0961654 0.232164i −0.868475 0.495733i \(-0.834900\pi\)
0.964641 + 0.263569i \(0.0848996\pi\)
\(548\) −18.2649 + 24.4099i −0.780238 + 1.04274i
\(549\) 25.0292 + 13.8630i 1.06822 + 0.591660i
\(550\) 7.45398 22.4036i 0.317839 0.955293i
\(551\) 40.6199 40.6199i 1.73047 1.73047i
\(552\) 28.2496 + 20.4864i 1.20238 + 0.871961i
\(553\) −2.31728 2.31728i −0.0985409 0.0985409i
\(554\) −11.6194 + 5.81779i −0.493659 + 0.247174i
\(555\) 0.864967 + 0.968789i 0.0367158 + 0.0411228i
\(556\) −3.76643 6.34489i −0.159732 0.269083i
\(557\) 17.5896 + 7.28584i 0.745294 + 0.308711i 0.722820 0.691036i \(-0.242846\pi\)
0.0224743 + 0.999747i \(0.492846\pi\)
\(558\) −1.32063 + 31.7217i −0.0559066 + 1.34289i
\(559\) −24.8839 −1.05248
\(560\) 0.317127 + 0.0339575i 0.0134011 + 0.00143497i
\(561\) −4.43620 + 1.55002i −0.187296 + 0.0654417i
\(562\) −33.7250 29.2165i −1.42260 1.23243i
\(563\) 7.04761 17.0144i 0.297021 0.717073i −0.702962 0.711228i \(-0.748139\pi\)
0.999983 0.00584493i \(-0.00186051\pi\)
\(564\) 0.119580 + 1.37968i 0.00503523 + 0.0580949i
\(565\) 0.251458 0.104157i 0.0105789 0.00438194i
\(566\) 13.6218 6.82042i 0.572568 0.286684i
\(567\) −1.95168 3.11874i −0.0819630 0.130975i
\(568\) −6.19832 + 9.65157i −0.260076 + 0.404971i
\(569\) −15.9856 15.9856i −0.670152 0.670152i 0.287599 0.957751i \(-0.407143\pi\)
−0.957751 + 0.287599i \(0.907143\pi\)
\(570\) −2.88502 + 0.0431331i −0.120840 + 0.00180665i
\(571\) −21.2300 + 8.79375i −0.888447 + 0.368007i −0.779767 0.626070i \(-0.784663\pi\)
−0.108680 + 0.994077i \(0.534663\pi\)
\(572\) 3.20759 + 22.2754i 0.134116 + 0.931383i
\(573\) 20.1383 + 1.14018i 0.841290 + 0.0476317i
\(574\) 2.14075 0.153339i 0.0893531 0.00640026i
\(575\) 35.3446 1.47397
\(576\) 22.8122 7.45673i 0.950509 0.310697i
\(577\) 21.1703 0.881332 0.440666 0.897671i \(-0.354742\pi\)
0.440666 + 0.897671i \(0.354742\pi\)
\(578\) 23.0631 1.65198i 0.959297 0.0687133i
\(579\) −10.4314 0.590599i −0.433513 0.0245444i
\(580\) −0.528889 3.67293i −0.0219609 0.152510i
\(581\) −2.43877 + 1.01017i −0.101177 + 0.0419090i
\(582\) −6.40244 + 0.0957211i −0.265390 + 0.00396777i
\(583\) 8.83917 + 8.83917i 0.366081 + 0.366081i
\(584\) 23.4924 + 15.0870i 0.972122 + 0.624304i
\(585\) 0.220887 1.94444i 0.00913255 0.0803927i
\(586\) −31.7697 + 15.9070i −1.31239 + 0.657113i
\(587\) 14.4081 5.96803i 0.594686 0.246327i −0.0649791 0.997887i \(-0.520698\pi\)
0.659665 + 0.751560i \(0.270698\pi\)
\(588\) −2.04386 23.5814i −0.0842873 0.972482i
\(589\) −17.2944 + 41.7523i −0.712603 + 1.72037i
\(590\) 0.500480 + 0.433575i 0.0206044 + 0.0178500i
\(591\) −1.02905 + 0.359550i −0.0423293 + 0.0147899i
\(592\) −9.65362 11.9689i −0.396761 0.491920i
\(593\) 20.5777 0.845025 0.422512 0.906357i \(-0.361148\pi\)
0.422512 + 0.906357i \(0.361148\pi\)
\(594\) −23.6608 + 7.17768i −0.970813 + 0.294504i
\(595\) −0.0593989 0.0246038i −0.00243512 0.00100866i
\(596\) −17.3384 29.2081i −0.710208 1.19641i
\(597\) −22.1983 24.8628i −0.908516 1.01757i
\(598\) −30.1241 + 15.0831i −1.23187 + 0.616793i
\(599\) 14.6016 + 14.6016i 0.596604 + 0.596604i 0.939407 0.342803i \(-0.111376\pi\)
−0.342803 + 0.939407i \(0.611376\pi\)
\(600\) 14.2708 19.6786i 0.582603 0.803376i
\(601\) −22.7394 + 22.7394i −0.927561 + 0.927561i −0.997548 0.0699869i \(-0.977704\pi\)
0.0699869 + 0.997548i \(0.477704\pi\)
\(602\) −1.35799 + 4.08157i −0.0553477 + 0.166353i
\(603\) −14.3050 + 25.8272i −0.582545 + 1.05176i
\(604\) −2.54461 + 3.40072i −0.103539 + 0.138373i
\(605\) −0.0239839 + 0.0579021i −0.000975082 + 0.00235406i
\(606\) −29.5543 + 12.7627i −1.20056 + 0.518449i
\(607\) 40.2640i 1.63426i −0.576451 0.817132i \(-0.695563\pi\)
0.576451 0.817132i \(-0.304437\pi\)
\(608\) 34.1409 + 1.20107i 1.38460 + 0.0487099i
\(609\) 6.35814 2.22155i 0.257645 0.0900216i
\(610\) 2.62412 0.187963i 0.106247 0.00761038i
\(611\) −1.23519 0.511631i −0.0499703 0.0206984i
\(612\) −4.83583 + 0.144631i −0.195477 + 0.00584635i
\(613\) −6.76173 16.3243i −0.273104 0.659331i 0.726509 0.687157i \(-0.241142\pi\)
−0.999613 + 0.0278260i \(0.991142\pi\)
\(614\) −26.7224 8.89091i −1.07843 0.358808i
\(615\) −0.544710 + 1.12978i −0.0219648 + 0.0455571i
\(616\) 3.82876 + 0.689517i 0.154265 + 0.0277814i
\(617\) 5.19834 5.19834i 0.209277 0.209277i −0.594683 0.803960i \(-0.702722\pi\)
0.803960 + 0.594683i \(0.202722\pi\)
\(618\) −21.0545 20.4342i −0.846938 0.821986i
\(619\) 8.07299 + 19.4899i 0.324481 + 0.783366i 0.998983 + 0.0450932i \(0.0143585\pi\)
−0.674502 + 0.738273i \(0.735642\pi\)
\(620\) 1.49017 + 2.51033i 0.0598468 + 0.100817i
\(621\) −21.3769 30.2156i −0.857824 1.21251i
\(622\) 1.41863 + 1.22898i 0.0568817 + 0.0492776i
\(623\) 3.14092i 0.125838i
\(624\) −3.76524 + 22.8620i −0.150730 + 0.915211i
\(625\) 24.4308i 0.977230i
\(626\) −14.7784 + 17.0589i −0.590664 + 0.681810i
\(627\) −35.1384 1.98945i −1.40329 0.0794510i
\(628\) 26.7648 + 6.82521i 1.06803 + 0.272356i
\(629\) 1.18621 + 2.86376i 0.0472973 + 0.114186i
\(630\) −0.306881 0.142345i −0.0122264 0.00567116i
\(631\) −22.5327 + 22.5327i −0.897012 + 0.897012i −0.995171 0.0981592i \(-0.968705\pi\)
0.0981592 + 0.995171i \(0.468705\pi\)
\(632\) −22.1550 + 4.82698i −0.881280 + 0.192007i
\(633\) −11.7231 5.65214i −0.465950 0.224652i
\(634\) 8.83620 26.5580i 0.350930 1.05475i
\(635\) 0.513033 + 1.23857i 0.0203591 + 0.0491512i
\(636\) 5.93332 + 11.4204i 0.235272 + 0.452848i
\(637\) 21.1118 + 8.74478i 0.836479 + 0.346481i
\(638\) −3.23389 45.1479i −0.128031 1.78742i
\(639\) 9.51892 7.57685i 0.376563 0.299736i
\(640\) 1.38340 1.71932i 0.0546836 0.0679622i
\(641\) 41.6012i 1.64315i 0.570100 + 0.821575i \(0.306904\pi\)
−0.570100 + 0.821575i \(0.693096\pi\)
\(642\) −2.51738 + 1.08710i −0.0993530 + 0.0429045i
\(643\) 7.11746 17.1831i 0.280685 0.677634i −0.719167 0.694837i \(-0.755476\pi\)
0.999852 + 0.0172036i \(0.00547635\pi\)
\(644\) 0.830027 + 5.76422i 0.0327077 + 0.227142i
\(645\) −1.67420 1.87515i −0.0659214 0.0738340i
\(646\) −6.53431 2.17405i −0.257089 0.0855369i
\(647\) −31.4452 + 31.4452i −1.23624 + 1.23624i −0.274714 + 0.961526i \(0.588583\pi\)
−0.961526 + 0.274714i \(0.911417\pi\)
\(648\) −25.4541 0.298039i −0.999931 0.0117081i
\(649\) 5.71128 + 5.71128i 0.224187 + 0.224187i
\(650\) 10.5068 + 20.9844i 0.412112 + 0.823075i
\(651\) −3.95240 + 3.52884i −0.154907 + 0.138306i
\(652\) 3.90645 15.3190i 0.152988 0.599938i
\(653\) 5.38622 + 2.23104i 0.210779 + 0.0873075i 0.485575 0.874195i \(-0.338610\pi\)
−0.274796 + 0.961503i \(0.588610\pi\)
\(654\) 1.66015 4.18378i 0.0649170 0.163599i
\(655\) 3.39025 0.132468
\(656\) 7.11126 13.0366i 0.277648 0.508992i
\(657\) −18.4424 23.1695i −0.719507 0.903928i
\(658\) −0.151328 + 0.174679i −0.00589937 + 0.00680971i
\(659\) 7.05977 17.0438i 0.275010 0.663932i −0.724674 0.689092i \(-0.758010\pi\)
0.999683 + 0.0251602i \(0.00800958\pi\)
\(660\) −1.46278 + 1.74041i −0.0569386 + 0.0677452i
\(661\) 25.7857 10.6808i 1.00295 0.415435i 0.180071 0.983654i \(-0.442367\pi\)
0.822878 + 0.568219i \(0.192367\pi\)
\(662\) 7.93025 + 15.8384i 0.308218 + 0.615576i
\(663\) 2.02845 4.20720i 0.0787786 0.163394i
\(664\) −3.23713 + 17.9752i −0.125625 + 0.697574i
\(665\) −0.340489 0.340489i −0.0132036 0.0132036i
\(666\) 5.60925 + 15.3147i 0.217354 + 0.593433i
\(667\) 62.5996 25.9296i 2.42387 1.00400i
\(668\) 2.79782 3.73911i 0.108251 0.144671i
\(669\) −0.631682 + 11.1570i −0.0244222 + 0.431355i
\(670\) 0.193955 + 2.70778i 0.00749314 + 0.104611i
\(671\) 32.0904 1.23883
\(672\) 3.54444 + 1.86524i 0.136730 + 0.0719532i
\(673\) 18.5829 0.716319 0.358160 0.933660i \(-0.383404\pi\)
0.358160 + 0.933660i \(0.383404\pi\)
\(674\) 0.710343 + 9.91700i 0.0273614 + 0.381989i
\(675\) −21.0481 + 14.8911i −0.810142 + 0.573157i
\(676\) 2.90754 + 2.17559i 0.111828 + 0.0836764i
\(677\) 22.9138 9.49122i 0.880650 0.364777i 0.103901 0.994588i \(-0.466867\pi\)
0.776749 + 0.629810i \(0.216867\pi\)
\(678\) 3.41763 0.0510960i 0.131253 0.00196233i
\(679\) −0.755613 0.755613i −0.0289978 0.0289978i
\(680\) −0.365327 + 0.253824i −0.0140096 + 0.00973372i
\(681\) −5.34661 2.57781i −0.204883 0.0987817i
\(682\) 15.9426 + 31.8408i 0.610475 + 1.21925i
\(683\) −34.5480 + 14.3103i −1.32194 + 0.547567i −0.928346 0.371717i \(-0.878769\pi\)
−0.393597 + 0.919283i \(0.628769\pi\)
\(684\) −33.8757 12.8593i −1.29527 0.491688i
\(685\) 1.13783 2.74696i 0.0434741 0.104956i
\(686\) 5.23624 6.04425i 0.199921 0.230770i
\(687\) 12.8946 + 36.9048i 0.491960 + 1.40801i
\(688\) 18.6852 + 23.1666i 0.712366 + 0.883219i
\(689\) −12.4246 −0.473340
\(690\) −3.16335 1.25524i −0.120427 0.0477860i
\(691\) −29.9717 12.4147i −1.14018 0.472277i −0.268948 0.963155i \(-0.586676\pi\)
−0.871228 + 0.490878i \(0.836676\pi\)
\(692\) −20.5900 5.25059i −0.782713 0.199597i
\(693\) −3.60965 1.99929i −0.137119 0.0759469i
\(694\) −7.79048 15.5592i −0.295723 0.590621i
\(695\) 0.508841 + 0.508841i 0.0193014 + 0.0193014i
\(696\) 10.8386 45.3226i 0.410838 1.71795i
\(697\) −2.11673 + 2.11673i −0.0801767 + 0.0801767i
\(698\) 42.4412 + 14.1208i 1.60642 + 0.534479i
\(699\) 28.3622 25.3227i 1.07276 0.957793i
\(700\) 4.01534 0.578195i 0.151766 0.0218537i
\(701\) 6.56454 15.8482i 0.247939 0.598578i −0.750090 0.661336i \(-0.769990\pi\)
0.998029 + 0.0627582i \(0.0199897\pi\)
\(702\) 11.5846 21.6737i 0.437231 0.818022i
\(703\) 23.2154i 0.875585i
\(704\) 18.3296 19.7127i 0.690822 0.742950i
\(705\) −0.0445491 0.127501i −0.00167782 0.00480197i
\(706\) 1.51188 + 21.1071i 0.0569003 + 0.794376i
\(707\) −4.96350 2.05595i −0.186672 0.0773219i
\(708\) 3.83372 + 7.37909i 0.144080 + 0.277323i
\(709\) −11.6861 28.2128i −0.438882 1.05955i −0.976336 0.216261i \(-0.930614\pi\)
0.537454 0.843293i \(-0.319386\pi\)
\(710\) 0.353164 1.06147i 0.0132540 0.0398362i
\(711\) 23.8965 + 2.71463i 0.896190 + 0.101806i
\(712\) −18.2862 11.7435i −0.685303 0.440107i
\(713\) −37.6923 + 37.6923i −1.41159 + 1.41159i
\(714\) −0.579385 0.562316i −0.0216829 0.0210441i
\(715\) −0.839935 2.02778i −0.0314118 0.0758348i
\(716\) −8.11164 + 31.8095i −0.303146 + 1.18878i
\(717\) −2.18662 + 38.6208i −0.0816607 + 1.44232i
\(718\) 25.6289 29.5838i 0.956463 1.10406i
\(719\) 32.6392i 1.21724i −0.793463 0.608619i \(-0.791724\pi\)
0.793463 0.608619i \(-0.208276\pi\)
\(720\) −1.97611 + 1.25442i −0.0736453 + 0.0467496i
\(721\) 4.89649i 0.182355i
\(722\) −18.6736 16.1773i −0.694960 0.602056i
\(723\) −0.982456 + 17.3525i −0.0365379 + 0.645347i
\(724\) 9.18441 5.45202i 0.341336 0.202623i
\(725\) −18.0625 43.6067i −0.670825 1.61951i
\(726\) −0.548146 + 0.564785i −0.0203436 + 0.0209611i
\(727\) −11.8938 + 11.8938i −0.441118 + 0.441118i −0.892388 0.451270i \(-0.850971\pi\)
0.451270 + 0.892388i \(0.350971\pi\)
\(728\) −3.17552 + 2.20631i −0.117693 + 0.0817713i
\(729\) 25.4603 + 8.98742i 0.942974 + 0.332867i
\(730\) −2.58366 0.859619i −0.0956257 0.0318159i
\(731\) −2.29598 5.54299i −0.0849199 0.205015i
\(732\) 31.5011 + 9.96031i 1.16431 + 0.368144i
\(733\) −14.2498 5.90246i −0.526328 0.218012i 0.103666 0.994612i \(-0.466943\pi\)
−0.629994 + 0.776600i \(0.716943\pi\)
\(734\) 30.3962 2.17725i 1.12195 0.0803637i
\(735\) 0.761433 + 2.17925i 0.0280859 + 0.0803827i
\(736\) 36.6621 + 16.7193i 1.35138 + 0.616283i
\(737\) 33.1135i 1.21975i
\(738\) −11.5911 + 10.6646i −0.426675 + 0.392568i
\(739\) −1.65560 + 3.99698i −0.0609024 + 0.147031i −0.951401 0.307954i \(-0.900356\pi\)
0.890499 + 0.454986i \(0.150356\pi\)
\(740\) 1.20073 + 0.898452i 0.0441396 + 0.0330278i
\(741\) 26.0940 23.2976i 0.958589 0.855859i
\(742\) −0.678049 + 2.03794i −0.0248920 + 0.0748151i
\(743\) −15.0005 + 15.0005i −0.550313 + 0.550313i −0.926531 0.376218i \(-0.877224\pi\)
0.376218 + 0.926531i \(0.377224\pi\)
\(744\) 5.76701 + 36.2044i 0.211429 + 1.32732i
\(745\) 2.34240 + 2.34240i 0.0858188 + 0.0858188i
\(746\) 37.2106 18.6313i 1.36238 0.682139i
\(747\) 9.38625 16.9465i 0.343425 0.620040i
\(748\) −4.66598 + 2.76980i −0.170605 + 0.101274i
\(749\) −0.422781 0.175122i −0.0154481 0.00639880i
\(750\) −1.75549 + 4.42406i −0.0641015 + 0.161544i
\(751\) 10.9267 0.398720 0.199360 0.979926i \(-0.436114\pi\)
0.199360 + 0.979926i \(0.436114\pi\)
\(752\) 0.451171 + 1.53412i 0.0164525 + 0.0559436i
\(753\) −1.83745 5.25884i −0.0669603 0.191643i
\(754\) 34.0035 + 29.4578i 1.23833 + 1.07279i
\(755\) 0.158519 0.382698i 0.00576908 0.0139278i
\(756\) −2.92281 3.08295i −0.106302 0.112126i
\(757\) −19.8634 + 8.22770i −0.721948 + 0.299041i −0.713239 0.700921i \(-0.752772\pi\)
−0.00870961 + 0.999962i \(0.502772\pi\)
\(758\) 15.7742 7.89809i 0.572943 0.286872i
\(759\) −37.3933 18.0287i −1.35729 0.654402i
\(760\) −3.25534 + 0.709249i −0.118084