Properties

Label 96.2.o.a.11.1
Level 96
Weight 2
Character 96.11
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 11.1
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.1

$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{8}\right)\) \(-1\)

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 0.342024 0.939691i \(-0.388888\pi\)
−0.422614 + 0.906310i \(0.638888\pi\)
\(6\) −2.44922 0.0366175i −0.999888 0.0149490i
\(7\) −0.289055 + 0.289055i −0.109253 + 0.109253i −0.759620 0.650367i \(-0.774615\pi\)
0.650367 + 0.759620i \(0.274615\pi\)
\(8\) −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 0.798434 0.602082i \(-0.205662\pi\)
0.138842 + 0.990315i \(0.455662\pi\)
\(12\) 3.45116 + 0.299121i 0.996265 + 0.0863487i
\(13\) −1.27981 3.08973i −0.354954 0.856936i −0.995993 0.0894273i \(-0.971496\pi\)
0.641039 0.767508i \(-0.278504\pi\)
\(14\) 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 −0.915987 0.401208i \(-0.868591\pi\)
−0.364004 + 0.931397i \(0.618591\pi\)
\(20\) −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 −0.0515792 + 0.998669i \(0.516425\pi\)
−0.998669 + 0.0515792i \(0.983575\pi\)
\(24\) −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 −0.771289 0.636485i \(-0.780388\pi\)
0.0953212 0.995447i \(1.53039\pi\)
\(30\) 0.438629 + 0.189417i 0.0800824 + 0.0345827i
\(31\) 7.48336i 1.34405i 0.740528 + 0.672026i \(0.234576\pi\)
−0.740528 + 0.672026i \(0.765424\pi\)
\(32\) −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 −0.997467 0.0711364i \(-0.977337\pi\)
0.755616 + 0.655014i \(0.227337\pi\)
\(38\) 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 0.881730 0.471754i \(-0.156379\pi\)
−0.471754 + 0.881730i \(0.656379\pi\)
\(42\) 0.718544 0.697375i 0.110874 0.107607i
\(43\) 2.84744 6.87432i 0.434230 1.04832i −0.543679 0.839293i \(-0.682969\pi\)
0.977909 0.209031i \(-0.0670310\pi\)
\(44\) 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 \(-0.990718\pi\)
0.999575 0.0291564i \(-0.00928208\pi\)
\(48\) 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 −0.795653 0.605752i \(-0.792872\pi\)
0.990943 + 0.134280i \(0.0428723\pi\)
\(54\) −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 −0.852733 0.522347i \(-0.825057\pi\)
0.972328 + 0.233618i \(0.0750566\pi\)
\(60\) −0.599592 0.311511i −0.0774070 0.0402159i
\(61\) 8.81133 3.64977i 1.12818 0.467306i 0.261015 0.965335i \(-0.415943\pi\)
0.867160 + 0.498029i \(0.165943\pi\)
\(62\) 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 −0.968353 0.249584i \(-0.919706\pi\)
0.508247 0.861212i \(-0.330294\pi\)
\(68\) −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 0.856489 0.516165i \(-0.172641\pi\)
−0.516165 + 0.856489i \(0.672641\pi\)
\(72\) −8.44169 0.858984i −0.994863 0.101232i
\(73\) −6.97993 + 6.97993i −0.816939 + 0.816939i −0.985663 0.168725i \(-0.946035\pi\)
0.168725 + 0.985663i \(0.446035\pi\)
\(74\) 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 0.999537 0.0304247i \(-0.00968596\pi\)
−0.728293 + 0.685266i \(0.759686\pi\)
\(84\) −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 −0.357867 0.933773i \(-0.616496\pi\)
0.933773 + 0.357867i \(0.116496\pi\)
\(90\) 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 0.893633 0.448798i \(-0.148148\pi\)
0.314546 + 0.949242i \(0.398148\pi\)
\(102\) 1.97488 + 0.0295259i 0.195542 + 0.00292350i
\(103\) 8.46981 8.46981i 0.834555 0.834555i −0.153581 0.988136i \(-0.549081\pi\)
0.988136 + 0.153581i \(0.0490806\pi\)
\(104\) 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 0.432114 0.901819i \(-0.357768\pi\)
−0.332131 + 0.943233i \(0.607768\pi\)
\(108\) 10.3886 0.277005i 0.999645 0.0266548i
\(109\) −0.703211 1.69770i −0.0673554 0.162610i 0.886617 0.462504i \(-0.153049\pi\)
−0.953973 + 0.299894i \(0.903049\pi\)
\(110\) 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 \(0.0986379\pi\)
−0.952370 + 0.304944i \(0.901362\pi\)
\(128\) −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 −0.950529 0.310635i \(-0.899458\pi\)
−0.452474 + 0.891778i \(0.649458\pi\)
\(132\) 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 0.0762022 0.997092i \(-0.475721\pi\)
−0.997092 + 0.0762022i \(0.975721\pi\)
\(138\) 12.5207 12.1518i 1.06583 1.03443i
\(139\) −1.41183 + 3.40847i −0.119750 + 0.289102i −0.972376 0.233419i \(-0.925009\pi\)
0.852626 + 0.522521i \(0.175009\pi\)
\(140\) 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 0.397466 + 0.917617i \(0.369889\pi\)
−0.929904 + 0.367802i \(0.880111\pi\)
\(150\) 8.46492 + 8.72187i 0.691158 + 0.712138i
\(151\) −1.50166 1.50166i −0.122204 0.122204i 0.643360 0.765564i \(-0.277540\pi\)
−0.765564 + 0.643360i \(0.777540\pi\)
\(152\) 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 0.189830 0.981817i \(-0.439206\pi\)
0.828480 + 0.560019i \(0.189206\pi\)
\(158\) −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 0.996963 0.0778809i \(-0.0248154\pi\)
−0.760029 + 0.649889i \(0.774815\pi\)
\(164\) 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 0.768098 0.640333i \(-0.221203\pi\)
−0.640333 + 0.768098i \(0.721203\pi\)
\(168\) 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 −0.723221 0.690617i \(-0.757339\pi\)
−0.0230541 + 0.999734i \(0.507339\pi\)
\(174\) 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 −0.964389 0.264487i \(-0.914797\pi\)
0.494906 0.868947i \(1.66480\pi\)
\(180\) −1.06736 0.479985i −0.0795565 0.0357760i
\(181\) 4.93385 + 2.04367i 0.366730 + 0.151905i 0.558436 0.829548i \(-0.311402\pi\)
−0.191705 + 0.981453i \(0.561402\pi\)
\(182\) −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 0.361874 0.932227i \(-0.382137\pi\)
−0.403300 + 0.915068i \(0.632137\pi\)
\(198\) −13.4045 4.90960i −0.952613 0.348910i
\(199\) −13.6071 + 13.6071i −0.964583 + 0.964583i −0.999394 0.0348110i \(-0.988917\pi\)
0.0348110 + 0.999394i \(0.488917\pi\)
\(200\) 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 −0.608614 0.793466i \(-0.708274\pi\)
0.130710 + 0.991421i \(0.458274\pi\)
\(212\) 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 \(-0.930691\pi\)
0.976388 0.216023i \(-0.0693086\pi\)
\(224\) 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 −0.485270 0.874364i \(-0.661279\pi\)
0.275131 + 0.961407i \(0.411279\pi\)
\(228\) −19.9465 + 6.30689i −1.32099 + 0.417684i
\(229\) 8.63723 20.8521i 0.570764 1.37795i −0.330141 0.943932i \(-0.607096\pi\)
0.900905 0.434015i \(-0.142904\pi\)
\(230\) −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 0.999855 + 0.0170465i \(0.00542634\pi\)
0.0170465 + 0.999855i \(0.494574\pi\)
\(234\) 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 \(-0.743078\pi\)
0.691563 0.722316i \(-0.256922\pi\)
\(240\) −1.09814 0.787576i −0.0708849 0.0508378i
\(241\) 10.0345i 0.646380i −0.946334 0.323190i \(-0.895245\pi\)
0.946334 0.323190i \(-0.104755\pi\)
\(242\) −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 −0.957951 0.286931i \(-0.907365\pi\)
0.880265 + 0.474483i \(0.157365\pi\)
\(252\) −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 \(0.251585\pi\)
−0.703576 + 0.710620i \(0.748415\pi\)
\(258\) −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 0.981931 0.189241i \(-0.0606027\pi\)
−0.189241 + 0.981931i \(0.560603\pi\)
\(264\) −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 0.00632279 0.999980i \(-0.497987\pi\)
0.711564 + 0.702622i \(0.247987\pi\)
\(270\) 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 0.622843 0.782347i \(-0.285977\pi\)
−0.112786 + 0.993619i \(0.535977\pi\)
\(278\) 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 0.426362 0.904553i \(-0.359795\pi\)
0.904553 0.426362i \(-0.140205\pi\)
\(282\) −0.0146387 + 0.979128i −0.000871720 + 0.0583062i
\(283\) −9.95203 4.12227i −0.591587 0.245043i 0.0667462 0.997770i \(-0.478738\pi\)
−0.658333 + 0.752727i \(0.728738\pi\)
\(284\) 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 0.937953 0.346762i \(-0.112719\pi\)
0.418035 + 0.908431i \(0.362719\pi\)
\(294\) 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 0.210133 0.977673i \(-0.432610\pi\)
0.839906 + 0.542733i \(0.182610\pi\)
\(308\) −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 −0.733214 0.679998i \(-0.761981\pi\)
0.679998 + 0.733214i \(0.261981\pi\)
\(312\) 3.81061 + 15.9343i 0.215733 + 0.902103i
\(313\) 11.2850 + 11.2850i 0.637867 + 0.637867i 0.950029 0.312162i \(-0.101053\pi\)
−0.312162 + 0.950029i \(0.601053\pi\)
\(314\) −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 −0.980731 0.195362i \(-0.937412\pi\)
0.555340 0.831623i \(1.68741\pi\)
\(318\) −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 −0.999147 0.0412860i \(-0.986855\pi\)
0.735698 + 0.677310i \(0.236855\pi\)
\(332\) 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 \(0.0613299\pi\)
−0.981496 + 0.191484i \(0.938670\pi\)
\(338\) −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 −0.745656 0.666331i \(-0.767864\pi\)
0.998426 + 0.0560914i \(0.0178638\pi\)
\(348\) −9.93418 31.4184i −0.532528 1.68420i
\(349\) −29.2204 + 12.1035i −1.56413 + 0.647885i −0.985801 0.167917i \(-0.946296\pi\)
−0.578332 + 0.815802i \(0.696296\pi\)
\(350\) −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 \(0.130367\pi\)
−0.917296 + 0.398206i \(0.869633\pi\)
\(354\) −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 −0.999440 0.0334594i \(-0.989348\pi\)
−0.0334594 0.999440i \(1.48935\pi\)
\(360\) 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 −0.455910 0.890026i \(-0.650686\pi\)
−0.951720 + 0.306967i \(0.900686\pi\)
\(374\) 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 0.0665251 0.997785i \(-0.478809\pi\)
−0.658500 + 0.752581i \(0.728809\pi\)
\(380\) 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 −0.999587 0.0287433i \(-0.990849\pi\)
−0.727139 0.686490i \(1.24085\pi\)
\(390\) 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 0.900189 + 0.435499i \(0.143428\pi\)
−0.328586 + 0.944474i \(0.606572\pi\)
\(398\) 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 0.993507 0.113771i \(-0.0362930\pi\)
−0.113771 + 0.993507i \(0.536293\pi\)
\(410\) 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 −0.131397 0.991330i \(-0.541946\pi\)
0.608065 + 0.793888i \(0.291946\pi\)
\(420\) 0.263359 0.0832714i 0.0128506 0.00406323i
\(421\) 1.73340 4.18479i 0.0844806 0.203954i −0.875994 0.482322i \(-0.839793\pi\)
0.960474 + 0.278368i \(0.0897935\pi\)
\(422\) 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 \(0.198874\pi\)
−0.811092 + 0.584919i \(0.801126\pi\)
\(432\) 20.6441 + 2.41295i 0.993238 + 0.116093i
\(433\) 21.4987i 1.03316i −0.856239 0.516580i \(-0.827205\pi\)
0.856239 0.516580i \(-0.172795\pi\)
\(434\) 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 0.665059 0.746791i \(-0.268406\pi\)
−0.746791 + 0.665059i \(0.768406\pi\)
\(440\) 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 −0.878339 0.478037i \(-0.841348\pi\)
0.959103 + 0.283056i \(0.0913483\pi\)
\(444\) −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 \(-0.952142\pi\)
0.988718 0.149786i \(-0.0478585\pi\)
\(450\) 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 −0.432749 0.901514i \(-0.642456\pi\)
0.901514 + 0.432749i \(0.142456\pi\)
\(458\) −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 −0.781382 0.624053i \(-0.785485\pi\)
−0.111249 + 0.993793i \(0.535485\pi\)
\(462\) 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 0.976348 0.216206i \(-0.0693682\pi\)
−0.843263 + 0.537502i \(0.819368\pi\)
\(468\) −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 −0.878240 0.478220i \(-0.841282\pi\)
0.478220 + 0.878240i \(0.341282\pi\)
\(488\) −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 0.166977 0.985961i \(-0.446600\pi\)
−0.579109 + 0.815250i \(0.696600\pi\)
\(492\) 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 −0.488965 0.872304i \(-0.662625\pi\)
0.271062 + 0.962562i \(0.412625\pi\)
\(500\) 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 −0.727456 0.686154i \(-0.759298\pi\)
0.686154 + 0.727456i \(0.259298\pi\)
\(504\) 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 0.958706 0.284398i \(-0.0917938\pi\)
−0.879008 + 0.476808i \(0.841794\pi\)
\(510\) −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 0.381322 0.924442i \(-0.375469\pi\)
−0.924442 + 0.381322i \(0.875469\pi\)
\(522\) 16.9816 + 36.6106i 0.743264 + 1.60240i
\(523\) −5.71533 + 13.7980i −0.249914 + 0.603346i −0.998196 0.0600346i \(-0.980879\pi\)
0.748282 + 0.663380i \(0.230879\pi\)
\(524\) −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 0.00192927 0.999998i \(-0.499386\pi\)
0.708470 + 0.705741i \(0.249386\pi\)
\(542\) 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 0.964641 0.263569i \(-0.0848996\pi\)
−0.868475 + 0.495733i \(0.834900\pi\)
\(548\) −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 0.0224743 0.999747i \(-0.492846\pi\)
0.722820 + 0.691036i \(0.242846\pi\)
\(558\) −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 0.999983 + 0.00584493i \(0.00186051\pi\)
−0.702962 + 0.711228i \(0.748139\pi\)
\(564\) 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 −0.957751 0.287599i \(-0.907143\pi\)
0.287599 + 0.957751i \(0.407143\pi\)
\(570\) −2.88502 0.0431331i −0.120840 0.00180665i
\(571\) −21.2300 8.79375i −0.888447 0.368007i −0.108680 0.994077i \(-0.534663\pi\)
−0.779767 + 0.626070i \(0.784663\pi\)
\(572\) 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 0.659665 0.751560i \(-0.270698\pi\)
−0.0649791 + 0.997887i \(0.520698\pi\)
\(588\) −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 −0.342803 0.939407i \(-0.611376\pi\)
0.939407 + 0.342803i \(0.111376\pi\)
\(600\) 14.2708 + 19.6786i 0.582603 + 0.803376i
\(601\) −22.7394 22.7394i −0.927561 0.927561i 0.0699869 0.997548i \(-0.477704\pi\)
−0.997548 + 0.0699869i \(0.977704\pi\)
\(602\) −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 \(0.304437\pi\)
−0.576451 + 0.817132i \(0.695563\pi\)
\(608\) 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 −0.999613 0.0278260i \(-0.991142\pi\)
0.726509 + 0.687157i \(0.241142\pi\)
\(614\) −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 0.803960 0.594683i \(-0.202722\pi\)
−0.594683 + 0.803960i \(0.702722\pi\)
\(618\) −21.0545 + 20.4342i −0.846938 + 0.821986i
\(619\) 8.07299 19.4899i 0.324481 0.783366i −0.674502 0.738273i \(-0.735642\pi\)
0.998983 0.0450932i \(-0.0143585\pi\)
\(620\) 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 0.0981592 0.995171i \(-0.468705\pi\)
−0.995171 + 0.0981592i \(0.968705\pi\)
\(632\) −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 \(-0.693096\pi\)
0.570100 0.821575i \(-0.306904\pi\)
\(642\) −2.51738 1.08710i −0.0993530 0.0429045i
\(643\) 7.11746 + 17.1831i 0.280685 + 0.677634i 0.999852 0.0172036i \(-0.00547635\pi\)
−0.719167 + 0.694837i \(0.755476\pi\)
\(644\) 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 −0.961526 0.274714i \(-0.911417\pi\)
−0.274714 0.961526i \(1.41142\pi\)
\(648\) −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 −0.274796 0.961503i \(-0.588610\pi\)
0.485575 + 0.874195i \(0.338610\pi\)
\(654\) 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 0.999683 0.0251602i \(-0.00800958\pi\)
−0.724674 + 0.689092i \(0.758010\pi\)
\(660\) −1.46278 1.74041i −0.0569386 0.0677452i
\(661\) 25.7857 + 10.6808i 1.00295 + 0.415435i 0.822878 0.568219i \(-0.192367\pi\)
0.180071 + 0.983654i \(0.442367\pi\)
\(662\) 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 0.776749 0.629810i \(-0.216867\pi\)
0.103901 + 0.994588i \(0.466867\pi\)
\(678\) 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 −0.393597 0.919283i \(-0.628769\pi\)
−0.928346 + 0.371717i \(0.878769\pi\)
\(684\) −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 −0.871228 0.490878i \(-0.836676\pi\)
−0.268948 + 0.963155i \(0.586676\pi\)
\(692\) −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 0.998029 0.0627582i \(-0.0199897\pi\)
−0.750090 + 0.661336i \(0.769990\pi\)
\(702\) 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 0.537454 + 0.843293i \(0.319386\pi\)
−0.976336 + 0.216261i \(0.930614\pi\)
\(710\) 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 \(0.208276\pi\)
−0.793463 + 0.608619i \(0.791724\pi\)
\(720\) −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 0.451270 0.892388i \(-0.350971\pi\)
−0.892388 + 0.451270i \(0.850971\pi\)
\(728\) −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 −0.629994 0.776600i \(-0.716943\pi\)
0.103666 + 0.994612i \(0.466943\pi\)
\(734\) 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 0.890499 0.454986i \(-0.150356\pi\)
−0.951401 + 0.307954i \(0.900356\pi\)
\(740\) 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 0.376218 0.926531i \(-0.377224\pi\)
−0.926531 + 0.376218i \(0.877224\pi\)
\(744\) 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 −0.00870961 0.999962i \(-0.502772\pi\)
−0.713239 + 0.700921i \(0.752772\pi\)
\(758\) 15.7742 + 7.89809i 0.572943 + 0.286872i
\(759\) −37.3933 + 18.0287i −1.35729 + 0.654402i
\(760\) −3.25534 0.709249i −0.118084