Properties

Label 114.2.i.b.85.1
Level $114$
Weight $2$
Character 114.85
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.i (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 85.1
Root \(-0.173648 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 114.85
Dual form 114.2.i.b.55.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.173648 + 0.984808i) q^{2} +(0.766044 - 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(1.55303 + 0.565258i) q^{5} +(0.766044 + 0.642788i) q^{6} +(-0.0923963 + 0.160035i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.173648 - 0.984808i) q^{9} +O(q^{10})\) \(q+(0.173648 + 0.984808i) q^{2} +(0.766044 - 0.642788i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(1.55303 + 0.565258i) q^{5} +(0.766044 + 0.642788i) q^{6} +(-0.0923963 + 0.160035i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(0.173648 - 0.984808i) q^{9} +(-0.286989 + 1.62760i) q^{10} +(2.17365 + 3.76487i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(-4.96064 - 4.16247i) q^{13} +(-0.173648 - 0.0632028i) q^{14} +(1.55303 - 0.565258i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.368241 - 2.08840i) q^{17} +1.00000 q^{18} +(-4.11721 + 1.43128i) q^{19} -1.65270 q^{20} +(0.0320889 + 0.181985i) q^{21} +(-3.33022 + 2.79439i) q^{22} +(-0.0996702 + 0.0362770i) q^{23} +(-0.939693 - 0.342020i) q^{24} +(-1.73783 - 1.45821i) q^{25} +(3.23783 - 5.60808i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(0.0320889 - 0.181985i) q^{28} +(0.692066 - 3.92490i) q^{29} +(0.826352 + 1.43128i) q^{30} +(1.61334 - 2.79439i) q^{31} +(0.766044 + 0.642788i) q^{32} +(4.08512 + 1.48686i) q^{33} +(1.99273 - 0.725293i) q^{34} +(-0.233956 + 0.196312i) q^{35} +(0.173648 + 0.984808i) q^{36} +4.06418 q^{37} +(-2.12449 - 3.80612i) q^{38} -6.47565 q^{39} +(-0.286989 - 1.62760i) q^{40} +(-6.61721 + 5.55250i) q^{41} +(-0.173648 + 0.0632028i) q^{42} +(-0.0393628 - 0.0143269i) q^{43} +(-3.33022 - 2.79439i) q^{44} +(0.826352 - 1.43128i) q^{45} +(-0.0530334 - 0.0918566i) q^{46} +(-1.37551 + 7.80093i) q^{47} +(0.173648 - 0.984808i) q^{48} +(3.48293 + 6.03260i) q^{49} +(1.13429 - 1.96464i) q^{50} +(-1.62449 - 1.36310i) q^{51} +(6.08512 + 2.21480i) q^{52} +(8.65657 - 3.15074i) q^{53} +(0.766044 - 0.642788i) q^{54} +(1.24763 + 7.07564i) q^{55} +0.184793 q^{56} +(-2.23396 + 3.74292i) q^{57} +3.98545 q^{58} +(1.75237 + 9.93821i) q^{59} +(-1.26604 + 1.06234i) q^{60} +(-3.37939 + 1.23000i) q^{61} +(3.03209 + 1.10359i) q^{62} +(0.141559 + 0.118782i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-5.35117 - 9.26849i) q^{65} +(-0.754900 + 4.28125i) q^{66} +(-1.38666 + 7.86414i) q^{67} +(1.06031 + 1.83651i) q^{68} +(-0.0530334 + 0.0918566i) q^{69} +(-0.233956 - 0.196312i) q^{70} +(3.79813 + 1.38241i) q^{71} +(-0.939693 + 0.342020i) q^{72} +(11.6420 - 9.76882i) q^{73} +(0.705737 + 4.00243i) q^{74} -2.26857 q^{75} +(3.37939 - 2.75314i) q^{76} -0.803348 q^{77} +(-1.12449 - 6.37727i) q^{78} +(9.49660 - 7.96859i) q^{79} +(1.55303 - 0.565258i) q^{80} +(-0.939693 - 0.342020i) q^{81} +(-6.61721 - 5.55250i) q^{82} +(-4.22803 + 7.32316i) q^{83} +(-0.0923963 - 0.160035i) q^{84} +(0.608593 - 3.45150i) q^{85} +(0.00727396 - 0.0412527i) q^{86} +(-1.99273 - 3.45150i) q^{87} +(2.17365 - 3.76487i) q^{88} +(-13.7404 - 11.5295i) q^{89} +(1.55303 + 0.565258i) q^{90} +(1.12449 - 0.409279i) q^{91} +(0.0812519 - 0.0681784i) q^{92} +(-0.560307 - 3.17766i) q^{93} -7.92127 q^{94} +(-7.20321 - 0.104455i) q^{95} +1.00000 q^{96} +(1.85591 + 10.5254i) q^{97} +(-5.33615 + 4.47756i) q^{98} +(4.08512 - 1.48686i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 3q^{5} + 3q^{7} - 3q^{8} + O(q^{10}) \) \( 6q - 3q^{5} + 3q^{7} - 3q^{8} + 6q^{10} + 12q^{11} - 3q^{12} - 21q^{13} - 3q^{15} + 3q^{17} + 6q^{18} + 6q^{19} - 12q^{20} - 9q^{21} + 3q^{22} - 15q^{23} + 9q^{25} - 3q^{27} - 9q^{28} + 15q^{29} + 6q^{30} + 3q^{31} + 3q^{33} - 6q^{34} - 6q^{35} + 6q^{37} + 6q^{40} - 9q^{41} - 9q^{43} + 3q^{44} + 6q^{45} + 12q^{46} - 21q^{47} - 3q^{50} + 3q^{51} + 15q^{52} + 30q^{53} - 9q^{55} - 6q^{56} - 18q^{57} - 12q^{58} + 27q^{59} - 3q^{60} - 9q^{61} + 9q^{62} + 9q^{63} - 3q^{64} - 6q^{65} - 6q^{66} - 15q^{67} + 12q^{68} + 12q^{69} - 6q^{70} + 9q^{71} + 12q^{73} - 6q^{74} + 6q^{75} + 9q^{76} + 42q^{77} + 6q^{78} + 15q^{79} - 3q^{80} - 9q^{82} - 3q^{83} + 3q^{84} - 36q^{85} + 18q^{86} + 6q^{87} + 12q^{88} - 48q^{89} - 3q^{90} - 6q^{91} + 3q^{92} - 9q^{93} - 30q^{94} - 48q^{95} + 6q^{96} + 18q^{97} - 36q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173648 + 0.984808i 0.122788 + 0.696364i
\(3\) 0.766044 0.642788i 0.442276 0.371114i
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) 1.55303 + 0.565258i 0.694538 + 0.252791i 0.665077 0.746775i \(-0.268399\pi\)
0.0294608 + 0.999566i \(0.490621\pi\)
\(6\) 0.766044 + 0.642788i 0.312736 + 0.262417i
\(7\) −0.0923963 + 0.160035i −0.0349225 + 0.0604876i −0.882958 0.469451i \(-0.844452\pi\)
0.848036 + 0.529939i \(0.177785\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) 0.173648 0.984808i 0.0578827 0.328269i
\(10\) −0.286989 + 1.62760i −0.0907539 + 0.514691i
\(11\) 2.17365 + 3.76487i 0.655380 + 1.13515i 0.981798 + 0.189926i \(0.0608247\pi\)
−0.326419 + 0.945225i \(0.605842\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) −4.96064 4.16247i −1.37583 1.15446i −0.970725 0.240192i \(-0.922790\pi\)
−0.405108 0.914269i \(-0.632766\pi\)
\(14\) −0.173648 0.0632028i −0.0464094 0.0168917i
\(15\) 1.55303 0.565258i 0.400992 0.145949i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.368241 2.08840i −0.0893115 0.506511i −0.996343 0.0854474i \(-0.972768\pi\)
0.907031 0.421064i \(-0.138343\pi\)
\(18\) 1.00000 0.235702
\(19\) −4.11721 + 1.43128i −0.944553 + 0.328359i
\(20\) −1.65270 −0.369556
\(21\) 0.0320889 + 0.181985i 0.00700237 + 0.0397124i
\(22\) −3.33022 + 2.79439i −0.710006 + 0.595766i
\(23\) −0.0996702 + 0.0362770i −0.0207827 + 0.00756428i −0.352391 0.935853i \(-0.614631\pi\)
0.331608 + 0.943417i \(0.392409\pi\)
\(24\) −0.939693 0.342020i −0.191814 0.0698146i
\(25\) −1.73783 1.45821i −0.347565 0.291642i
\(26\) 3.23783 5.60808i 0.634990 1.09983i
\(27\) −0.500000 0.866025i −0.0962250 0.166667i
\(28\) 0.0320889 0.181985i 0.00606423 0.0343920i
\(29\) 0.692066 3.92490i 0.128514 0.728836i −0.850645 0.525740i \(-0.823788\pi\)
0.979159 0.203096i \(-0.0651004\pi\)
\(30\) 0.826352 + 1.43128i 0.150871 + 0.261315i
\(31\) 1.61334 2.79439i 0.289765 0.501887i −0.683989 0.729492i \(-0.739756\pi\)
0.973753 + 0.227606i \(0.0730897\pi\)
\(32\) 0.766044 + 0.642788i 0.135419 + 0.113630i
\(33\) 4.08512 + 1.48686i 0.711129 + 0.258830i
\(34\) 1.99273 0.725293i 0.341750 0.124387i
\(35\) −0.233956 + 0.196312i −0.0395457 + 0.0331828i
\(36\) 0.173648 + 0.984808i 0.0289414 + 0.164135i
\(37\) 4.06418 0.668147 0.334073 0.942547i \(-0.391577\pi\)
0.334073 + 0.942547i \(0.391577\pi\)
\(38\) −2.12449 3.80612i −0.344637 0.617434i
\(39\) −6.47565 −1.03693
\(40\) −0.286989 1.62760i −0.0453769 0.257345i
\(41\) −6.61721 + 5.55250i −1.03343 + 0.867155i −0.991256 0.131955i \(-0.957874\pi\)
−0.0421791 + 0.999110i \(0.513430\pi\)
\(42\) −0.173648 + 0.0632028i −0.0267945 + 0.00975240i
\(43\) −0.0393628 0.0143269i −0.00600278 0.00218483i 0.339017 0.940780i \(-0.389906\pi\)
−0.345020 + 0.938595i \(0.612128\pi\)
\(44\) −3.33022 2.79439i −0.502050 0.421270i
\(45\) 0.826352 1.43128i 0.123185 0.213363i
\(46\) −0.0530334 0.0918566i −0.00781935 0.0135435i
\(47\) −1.37551 + 7.80093i −0.200639 + 1.13788i 0.703516 + 0.710679i \(0.251612\pi\)
−0.904155 + 0.427204i \(0.859499\pi\)
\(48\) 0.173648 0.984808i 0.0250640 0.142145i
\(49\) 3.48293 + 6.03260i 0.497561 + 0.861801i
\(50\) 1.13429 1.96464i 0.160412 0.277842i
\(51\) −1.62449 1.36310i −0.227473 0.190873i
\(52\) 6.08512 + 2.21480i 0.843855 + 0.307138i
\(53\) 8.65657 3.15074i 1.18907 0.432787i 0.329674 0.944095i \(-0.393061\pi\)
0.859398 + 0.511308i \(0.170839\pi\)
\(54\) 0.766044 0.642788i 0.104245 0.0874723i
\(55\) 1.24763 + 7.07564i 0.168230 + 0.954079i
\(56\) 0.184793 0.0246939
\(57\) −2.23396 + 3.74292i −0.295895 + 0.495762i
\(58\) 3.98545 0.523315
\(59\) 1.75237 + 9.93821i 0.228140 + 1.29384i 0.856591 + 0.515996i \(0.172578\pi\)
−0.628452 + 0.777849i \(0.716311\pi\)
\(60\) −1.26604 + 1.06234i −0.163446 + 0.137147i
\(61\) −3.37939 + 1.23000i −0.432686 + 0.157485i −0.549175 0.835707i \(-0.685058\pi\)
0.116489 + 0.993192i \(0.462836\pi\)
\(62\) 3.03209 + 1.10359i 0.385076 + 0.140156i
\(63\) 0.141559 + 0.118782i 0.0178348 + 0.0149652i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −5.35117 9.26849i −0.663731 1.14962i
\(66\) −0.754900 + 4.28125i −0.0929218 + 0.526986i
\(67\) −1.38666 + 7.86414i −0.169407 + 0.960757i 0.774996 + 0.631967i \(0.217752\pi\)
−0.944403 + 0.328790i \(0.893359\pi\)
\(68\) 1.06031 + 1.83651i 0.128581 + 0.222709i
\(69\) −0.0530334 + 0.0918566i −0.00638447 + 0.0110582i
\(70\) −0.233956 0.196312i −0.0279630 0.0234638i
\(71\) 3.79813 + 1.38241i 0.450755 + 0.164062i 0.557415 0.830234i \(-0.311793\pi\)
−0.106659 + 0.994296i \(0.534015\pi\)
\(72\) −0.939693 + 0.342020i −0.110744 + 0.0403075i
\(73\) 11.6420 9.76882i 1.36260 1.14335i 0.387425 0.921901i \(-0.373365\pi\)
0.975171 0.221453i \(-0.0710798\pi\)
\(74\) 0.705737 + 4.00243i 0.0820403 + 0.465273i
\(75\) −2.26857 −0.261952
\(76\) 3.37939 2.75314i 0.387642 0.315806i
\(77\) −0.803348 −0.0915500
\(78\) −1.12449 6.37727i −0.127323 0.722084i
\(79\) 9.49660 7.96859i 1.06845 0.896536i 0.0735394 0.997292i \(-0.476571\pi\)
0.994911 + 0.100756i \(0.0321261\pi\)
\(80\) 1.55303 0.565258i 0.173634 0.0631978i
\(81\) −0.939693 0.342020i −0.104410 0.0380022i
\(82\) −6.61721 5.55250i −0.730749 0.613171i
\(83\) −4.22803 + 7.32316i −0.464086 + 0.803821i −0.999160 0.0409847i \(-0.986951\pi\)
0.535074 + 0.844805i \(0.320284\pi\)
\(84\) −0.0923963 0.160035i −0.0100813 0.0174613i
\(85\) 0.608593 3.45150i 0.0660112 0.374368i
\(86\) 0.00727396 0.0412527i 0.000784371 0.00444839i
\(87\) −1.99273 3.45150i −0.213643 0.370040i
\(88\) 2.17365 3.76487i 0.231712 0.401336i
\(89\) −13.7404 11.5295i −1.45647 1.22213i −0.927679 0.373378i \(-0.878200\pi\)
−0.528795 0.848750i \(-0.677356\pi\)
\(90\) 1.55303 + 0.565258i 0.163704 + 0.0595834i
\(91\) 1.12449 0.409279i 0.117878 0.0429041i
\(92\) 0.0812519 0.0681784i 0.00847110 0.00710809i
\(93\) −0.560307 3.17766i −0.0581012 0.329508i
\(94\) −7.92127 −0.817017
\(95\) −7.20321 0.104455i −0.739034 0.0107169i
\(96\) 1.00000 0.102062
\(97\) 1.85591 + 10.5254i 0.188440 + 1.06869i 0.921456 + 0.388483i \(0.127001\pi\)
−0.733016 + 0.680211i \(0.761888\pi\)
\(98\) −5.33615 + 4.47756i −0.539033 + 0.452302i
\(99\) 4.08512 1.48686i 0.410570 0.149435i
\(100\) 2.13176 + 0.775897i 0.213176 + 0.0775897i
\(101\) 6.17752 + 5.18355i 0.614686 + 0.515783i 0.896128 0.443795i \(-0.146368\pi\)
−0.281442 + 0.959578i \(0.590813\pi\)
\(102\) 1.06031 1.83651i 0.104986 0.181841i
\(103\) −8.96451 15.5270i −0.883299 1.52992i −0.847651 0.530555i \(-0.821984\pi\)
−0.0356484 0.999364i \(-0.511350\pi\)
\(104\) −1.12449 + 6.37727i −0.110265 + 0.625343i
\(105\) −0.0530334 + 0.300767i −0.00517553 + 0.0293519i
\(106\) 4.60607 + 7.97794i 0.447381 + 0.774886i
\(107\) 6.99407 12.1141i 0.676142 1.17111i −0.299991 0.953942i \(-0.596984\pi\)
0.976134 0.217171i \(-0.0696829\pi\)
\(108\) 0.766044 + 0.642788i 0.0737127 + 0.0618523i
\(109\) 4.48545 + 1.63257i 0.429628 + 0.156372i 0.547778 0.836624i \(-0.315474\pi\)
−0.118149 + 0.992996i \(0.537696\pi\)
\(110\) −6.75150 + 2.45734i −0.643730 + 0.234299i
\(111\) 3.11334 2.61240i 0.295505 0.247958i
\(112\) 0.0320889 + 0.181985i 0.00303211 + 0.0171960i
\(113\) −0.753718 −0.0709038 −0.0354519 0.999371i \(-0.511287\pi\)
−0.0354519 + 0.999371i \(0.511287\pi\)
\(114\) −4.07398 1.55007i −0.381563 0.145177i
\(115\) −0.175297 −0.0163465
\(116\) 0.692066 + 3.92490i 0.0642568 + 0.364418i
\(117\) −4.96064 + 4.16247i −0.458611 + 0.384820i
\(118\) −9.48293 + 3.45150i −0.872974 + 0.317737i
\(119\) 0.368241 + 0.134029i 0.0337566 + 0.0122864i
\(120\) −1.26604 1.06234i −0.115574 0.0969777i
\(121\) −3.94949 + 6.84072i −0.359045 + 0.621884i
\(122\) −1.79813 3.11446i −0.162795 0.281970i
\(123\) −1.50000 + 8.50692i −0.135250 + 0.767043i
\(124\) −0.560307 + 3.17766i −0.0503171 + 0.285362i
\(125\) −6.00640 10.4034i −0.537228 0.930507i
\(126\) −0.0923963 + 0.160035i −0.00823131 + 0.0142571i
\(127\) −8.29086 6.95686i −0.735695 0.617321i 0.195983 0.980607i \(-0.437210\pi\)
−0.931678 + 0.363286i \(0.881655\pi\)
\(128\) −0.939693 0.342020i −0.0830579 0.0302306i
\(129\) −0.0393628 + 0.0143269i −0.00346571 + 0.00126141i
\(130\) 8.19846 6.87933i 0.719053 0.603357i
\(131\) 1.88326 + 10.6805i 0.164541 + 0.933157i 0.949537 + 0.313656i \(0.101554\pi\)
−0.784996 + 0.619501i \(0.787335\pi\)
\(132\) −4.34730 −0.378384
\(133\) 0.151359 0.791143i 0.0131245 0.0686008i
\(134\) −7.98545 −0.689838
\(135\) −0.286989 1.62760i −0.0247001 0.140081i
\(136\) −1.62449 + 1.36310i −0.139298 + 0.116885i
\(137\) 13.1099 4.77163i 1.12006 0.407668i 0.285384 0.958413i \(-0.407879\pi\)
0.834673 + 0.550746i \(0.185657\pi\)
\(138\) −0.0996702 0.0362770i −0.00848449 0.00308810i
\(139\) 4.57011 + 3.83478i 0.387631 + 0.325261i 0.815690 0.578490i \(-0.196358\pi\)
−0.428058 + 0.903751i \(0.640802\pi\)
\(140\) 0.152704 0.264490i 0.0129058 0.0223535i
\(141\) 3.96064 + 6.86002i 0.333546 + 0.577718i
\(142\) −0.701867 + 3.98048i −0.0588993 + 0.334035i
\(143\) 4.88847 27.7239i 0.408794 2.31839i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) 3.29339 5.70431i 0.273501 0.473717i
\(146\) 11.6420 + 9.76882i 0.963501 + 0.808473i
\(147\) 6.54576 + 2.38246i 0.539885 + 0.196502i
\(148\) −3.81908 + 1.39003i −0.313926 + 0.114260i
\(149\) −10.8931 + 9.14036i −0.892394 + 0.748807i −0.968689 0.248278i \(-0.920135\pi\)
0.0762949 + 0.997085i \(0.475691\pi\)
\(150\) −0.393933 2.23411i −0.0321645 0.182414i
\(151\) −15.2003 −1.23698 −0.618490 0.785792i \(-0.712255\pi\)
−0.618490 + 0.785792i \(0.712255\pi\)
\(152\) 3.29813 + 2.84997i 0.267514 + 0.231163i
\(153\) −2.12061 −0.171442
\(154\) −0.139500 0.791143i −0.0112412 0.0637521i
\(155\) 4.08512 3.42782i 0.328125 0.275329i
\(156\) 6.08512 2.21480i 0.487200 0.177326i
\(157\) −8.83662 3.21627i −0.705239 0.256686i −0.0355929 0.999366i \(-0.511332\pi\)
−0.669646 + 0.742680i \(0.733554\pi\)
\(158\) 9.49660 + 7.96859i 0.755509 + 0.633947i
\(159\) 4.60607 7.97794i 0.365285 0.632692i
\(160\) 0.826352 + 1.43128i 0.0653288 + 0.113153i
\(161\) 0.00340357 0.0193026i 0.000268239 0.00152126i
\(162\) 0.173648 0.984808i 0.0136431 0.0773738i
\(163\) 3.81180 + 6.60224i 0.298564 + 0.517127i 0.975808 0.218631i \(-0.0701592\pi\)
−0.677244 + 0.735758i \(0.736826\pi\)
\(164\) 4.31908 7.48086i 0.337263 0.584157i
\(165\) 5.50387 + 4.61830i 0.428476 + 0.359534i
\(166\) −7.94609 2.89214i −0.616736 0.224474i
\(167\) 16.1630 5.88284i 1.25073 0.455228i 0.370081 0.929000i \(-0.379330\pi\)
0.880648 + 0.473772i \(0.157108\pi\)
\(168\) 0.141559 0.118782i 0.0109215 0.00916426i
\(169\) 5.02435 + 28.4945i 0.386488 + 2.19188i
\(170\) 3.50475 0.268802
\(171\) 0.694593 + 4.30320i 0.0531168 + 0.329074i
\(172\) 0.0418891 0.00319401
\(173\) −1.15018 6.52298i −0.0874464 0.495933i −0.996802 0.0799130i \(-0.974536\pi\)
0.909355 0.416020i \(-0.136575\pi\)
\(174\) 3.05303 2.56180i 0.231450 0.194209i
\(175\) 0.393933 0.143380i 0.0297785 0.0108385i
\(176\) 4.08512 + 1.48686i 0.307928 + 0.112077i
\(177\) 7.73055 + 6.48670i 0.581064 + 0.487570i
\(178\) 8.96838 15.5337i 0.672208 1.16430i
\(179\) 10.7121 + 18.5540i 0.800662 + 1.38679i 0.919181 + 0.393836i \(0.128852\pi\)
−0.118518 + 0.992952i \(0.537814\pi\)
\(180\) −0.286989 + 1.62760i −0.0213909 + 0.121314i
\(181\) −2.98411 + 16.9237i −0.221807 + 1.25793i 0.646889 + 0.762584i \(0.276070\pi\)
−0.868696 + 0.495346i \(0.835041\pi\)
\(182\) 0.598326 + 1.03633i 0.0443509 + 0.0768180i
\(183\) −1.79813 + 3.11446i −0.132922 + 0.230227i
\(184\) 0.0812519 + 0.0681784i 0.00598997 + 0.00502618i
\(185\) 6.31180 + 2.29731i 0.464053 + 0.168901i
\(186\) 3.03209 1.10359i 0.222324 0.0809192i
\(187\) 7.06212 5.92582i 0.516433 0.433339i
\(188\) −1.37551 7.80093i −0.100320 0.568941i
\(189\) 0.184793 0.0134417
\(190\) −1.14796 7.11192i −0.0832815 0.515953i
\(191\) −6.57398 −0.475676 −0.237838 0.971305i \(-0.576439\pi\)
−0.237838 + 0.971305i \(0.576439\pi\)
\(192\) 0.173648 + 0.984808i 0.0125320 + 0.0710724i
\(193\) −8.69253 + 7.29390i −0.625702 + 0.525027i −0.899590 0.436735i \(-0.856135\pi\)
0.273888 + 0.961762i \(0.411690\pi\)
\(194\) −10.0432 + 3.65544i −0.721062 + 0.262445i
\(195\) −10.0569 3.66041i −0.720190 0.262128i
\(196\) −5.33615 4.47756i −0.381154 0.319826i
\(197\) −3.22416 + 5.58440i −0.229712 + 0.397872i −0.957723 0.287693i \(-0.907112\pi\)
0.728011 + 0.685565i \(0.240445\pi\)
\(198\) 2.17365 + 3.76487i 0.154474 + 0.267558i
\(199\) 2.90420 16.4705i 0.205873 1.16757i −0.690186 0.723632i \(-0.742471\pi\)
0.896060 0.443934i \(-0.146417\pi\)
\(200\) −0.393933 + 2.23411i −0.0278553 + 0.157975i
\(201\) 3.99273 + 6.91560i 0.281625 + 0.487789i
\(202\) −4.03209 + 6.98378i −0.283697 + 0.491377i
\(203\) 0.564178 + 0.473401i 0.0395975 + 0.0332263i
\(204\) 1.99273 + 0.725293i 0.139519 + 0.0507807i
\(205\) −13.4153 + 4.88279i −0.936968 + 0.341029i
\(206\) 13.7344 11.5245i 0.956923 0.802953i
\(207\) 0.0184183 + 0.104455i 0.00128016 + 0.00726016i
\(208\) −6.47565 −0.449006
\(209\) −14.3380 12.3897i −0.991778 0.857010i
\(210\) −0.305407 −0.0210751
\(211\) −0.847296 4.80526i −0.0583303 0.330807i 0.941653 0.336585i \(-0.109272\pi\)
−0.999983 + 0.00577769i \(0.998161\pi\)
\(212\) −7.05690 + 5.92145i −0.484670 + 0.406687i
\(213\) 3.79813 1.38241i 0.260244 0.0947210i
\(214\) 13.1446 + 4.78423i 0.898543 + 0.327043i
\(215\) −0.0530334 0.0445003i −0.00361685 0.00303490i
\(216\) −0.500000 + 0.866025i −0.0340207 + 0.0589256i
\(217\) 0.298133 + 0.516382i 0.0202386 + 0.0350543i
\(218\) −0.828878 + 4.70080i −0.0561387 + 0.318378i
\(219\) 2.63903 14.9667i 0.178329 1.01136i
\(220\) −3.59240 6.22221i −0.242199 0.419502i
\(221\) −6.86618 + 11.8926i −0.461869 + 0.799981i
\(222\) 3.11334 + 2.61240i 0.208954 + 0.175333i
\(223\) −27.0453 9.84370i −1.81109 0.659183i −0.996908 0.0785736i \(-0.974963\pi\)
−0.814182 0.580609i \(-0.802814\pi\)
\(224\) −0.173648 + 0.0632028i −0.0116024 + 0.00422291i
\(225\) −1.73783 + 1.45821i −0.115855 + 0.0972139i
\(226\) −0.130882 0.742267i −0.00870613 0.0493749i
\(227\) −3.75608 −0.249300 −0.124650 0.992201i \(-0.539781\pi\)
−0.124650 + 0.992201i \(0.539781\pi\)
\(228\) 0.819078 4.28125i 0.0542448 0.283533i
\(229\) 17.5175 1.15759 0.578796 0.815472i \(-0.303523\pi\)
0.578796 + 0.815472i \(0.303523\pi\)
\(230\) −0.0304400 0.172634i −0.00200716 0.0113831i
\(231\) −0.615400 + 0.516382i −0.0404904 + 0.0339754i
\(232\) −3.74510 + 1.36310i −0.245878 + 0.0894922i
\(233\) 6.58260 + 2.39587i 0.431240 + 0.156959i 0.548515 0.836141i \(-0.315193\pi\)
−0.117274 + 0.993100i \(0.537416\pi\)
\(234\) −4.96064 4.16247i −0.324287 0.272109i
\(235\) −6.54576 + 11.3376i −0.426998 + 0.739583i
\(236\) −5.04576 8.73951i −0.328451 0.568894i
\(237\) 2.15270 12.2086i 0.139833 0.793033i
\(238\) −0.0680482 + 0.385920i −0.00441091 + 0.0250155i
\(239\) −0.467911 0.810446i −0.0302667 0.0524234i 0.850495 0.525983i \(-0.176302\pi\)
−0.880762 + 0.473559i \(0.842969\pi\)
\(240\) 0.826352 1.43128i 0.0533408 0.0923889i
\(241\) −22.0082 18.4671i −1.41767 1.18957i −0.952573 0.304311i \(-0.901574\pi\)
−0.465101 0.885258i \(-0.653982\pi\)
\(242\) −7.42262 2.70161i −0.477144 0.173666i
\(243\) −0.939693 + 0.342020i −0.0602813 + 0.0219406i
\(244\) 2.75490 2.31164i 0.176364 0.147987i
\(245\) 1.99912 + 11.3376i 0.127719 + 0.724332i
\(246\) −8.63816 −0.550749
\(247\) 26.3817 + 10.0377i 1.67863 + 0.638683i
\(248\) −3.22668 −0.204894
\(249\) 1.46838 + 8.32759i 0.0930547 + 0.527739i
\(250\) 9.20233 7.72167i 0.582007 0.488362i
\(251\) −22.7271 + 8.27201i −1.43452 + 0.522124i −0.938225 0.346027i \(-0.887531\pi\)
−0.496300 + 0.868151i \(0.665308\pi\)
\(252\) −0.173648 0.0632028i −0.0109388 0.00398140i
\(253\) −0.353226 0.296392i −0.0222071 0.0186340i
\(254\) 5.41147 9.37295i 0.339546 0.588111i
\(255\) −1.75237 3.03520i −0.109738 0.190072i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 1.52822 8.66696i 0.0953277 0.540630i −0.899319 0.437294i \(-0.855937\pi\)
0.994646 0.103336i \(-0.0329518\pi\)
\(258\) −0.0209445 0.0362770i −0.00130395 0.00225851i
\(259\) −0.375515 + 0.650411i −0.0233334 + 0.0404146i
\(260\) 8.19846 + 6.87933i 0.508447 + 0.426638i
\(261\) −3.74510 1.36310i −0.231816 0.0843741i
\(262\) −10.1912 + 3.70929i −0.629614 + 0.229161i
\(263\) 1.00206 0.840828i 0.0617896 0.0518477i −0.611370 0.791345i \(-0.709381\pi\)
0.673159 + 0.739497i \(0.264937\pi\)
\(264\) −0.754900 4.28125i −0.0464609 0.263493i
\(265\) 15.2249 0.935260
\(266\) 0.805407 + 0.0116794i 0.0493827 + 0.000716110i
\(267\) −17.9368 −1.09771
\(268\) −1.38666 7.86414i −0.0847037 0.480379i
\(269\) 6.70368 5.62505i 0.408730 0.342966i −0.415126 0.909764i \(-0.636263\pi\)
0.823857 + 0.566798i \(0.191818\pi\)
\(270\) 1.55303 0.565258i 0.0945146 0.0344005i
\(271\) 12.9179 + 4.70172i 0.784705 + 0.285609i 0.703133 0.711058i \(-0.251784\pi\)
0.0815717 + 0.996667i \(0.474006\pi\)
\(272\) −1.62449 1.36310i −0.0984989 0.0826504i
\(273\) 0.598326 1.03633i 0.0362123 0.0627216i
\(274\) 6.97565 + 12.0822i 0.421415 + 0.729911i
\(275\) 1.71254 9.71232i 0.103270 0.585675i
\(276\) 0.0184183 0.104455i 0.00110865 0.00628748i
\(277\) −12.5039 21.6573i −0.751285 1.30126i −0.947200 0.320643i \(-0.896101\pi\)
0.195915 0.980621i \(-0.437232\pi\)
\(278\) −2.98293 + 5.16658i −0.178904 + 0.309871i
\(279\) −2.47178 2.07407i −0.147982 0.124171i
\(280\) 0.286989 + 0.104455i 0.0171509 + 0.00624241i
\(281\) −11.4226 + 4.15749i −0.681416 + 0.248015i −0.659456 0.751744i \(-0.729213\pi\)
−0.0219608 + 0.999759i \(0.506991\pi\)
\(282\) −6.06805 + 5.09170i −0.361347 + 0.303206i
\(283\) −1.85756 10.5348i −0.110421 0.626227i −0.988916 0.148476i \(-0.952563\pi\)
0.878495 0.477751i \(-0.158548\pi\)
\(284\) −4.04189 −0.239842
\(285\) −5.58512 + 4.55012i −0.330834 + 0.269526i
\(286\) 28.1516 1.66464
\(287\) −0.277189 1.57202i −0.0163619 0.0927932i
\(288\) 0.766044 0.642788i 0.0451396 0.0378766i
\(289\) 11.7490 4.27628i 0.691116 0.251546i
\(290\) 6.18954 + 2.25281i 0.363462 + 0.132289i
\(291\) 8.18732 + 6.86998i 0.479949 + 0.402725i
\(292\) −7.59879 + 13.1615i −0.444686 + 0.770218i
\(293\) 6.67365 + 11.5591i 0.389879 + 0.675290i 0.992433 0.122788i \(-0.0391836\pi\)
−0.602554 + 0.798078i \(0.705850\pi\)
\(294\) −1.20961 + 6.86002i −0.0705457 + 0.400085i
\(295\) −2.89615 + 16.4249i −0.168621 + 0.956295i
\(296\) −2.03209 3.51968i −0.118113 0.204577i
\(297\) 2.17365 3.76487i 0.126128 0.218460i
\(298\) −10.8931 9.14036i −0.631018 0.529487i
\(299\) 0.645430 + 0.234917i 0.0373262 + 0.0135856i
\(300\) 2.13176 0.775897i 0.123077 0.0447964i
\(301\) 0.00592979 0.00497568i 0.000341787 0.000286794i
\(302\) −2.63950 14.9693i −0.151886 0.861389i
\(303\) 8.06418 0.463275
\(304\) −2.23396 + 3.74292i −0.128126 + 0.214671i
\(305\) −5.94356 −0.340327
\(306\) −0.368241 2.08840i −0.0210509 0.119386i
\(307\) 11.9987 10.0681i 0.684799 0.574615i −0.232605 0.972571i \(-0.574725\pi\)
0.917404 + 0.397956i \(0.130280\pi\)
\(308\) 0.754900 0.274761i 0.0430144 0.0156560i
\(309\) −16.8478 6.13208i −0.958436 0.348842i
\(310\) 4.08512 + 3.42782i 0.232019 + 0.194687i
\(311\) −4.55303 + 7.88609i −0.258179 + 0.447179i −0.965754 0.259459i \(-0.916456\pi\)
0.707575 + 0.706638i \(0.249789\pi\)
\(312\) 3.23783 + 5.60808i 0.183306 + 0.317495i
\(313\) 3.08172 17.4773i 0.174189 0.987875i −0.764887 0.644165i \(-0.777205\pi\)
0.939076 0.343710i \(-0.111684\pi\)
\(314\) 1.63294 9.26087i 0.0921522 0.522621i
\(315\) 0.152704 + 0.264490i 0.00860388 + 0.0149023i
\(316\) −6.19846 + 10.7361i −0.348691 + 0.603950i
\(317\) 23.7822 + 19.9557i 1.33574 + 1.12082i 0.982698 + 0.185216i \(0.0592985\pi\)
0.353046 + 0.935606i \(0.385146\pi\)
\(318\) 8.65657 + 3.15074i 0.485437 + 0.176684i
\(319\) 16.2811 5.92582i 0.911564 0.331782i
\(320\) −1.26604 + 1.06234i −0.0707740 + 0.0593865i
\(321\) −2.42902 13.7756i −0.135574 0.768881i
\(322\) 0.0196004 0.00109229
\(323\) 4.50521 + 8.07132i 0.250677 + 0.449100i
\(324\) 1.00000 0.0555556
\(325\) 2.55097 + 14.4673i 0.141503 + 0.802501i
\(326\) −5.84002 + 4.90036i −0.323449 + 0.271406i
\(327\) 4.48545 1.63257i 0.248046 0.0902814i
\(328\) 8.11721 + 2.95442i 0.448198 + 0.163131i
\(329\) −1.12133 0.940908i −0.0618209 0.0518739i
\(330\) −3.59240 + 6.22221i −0.197755 + 0.342522i
\(331\) 5.03983 + 8.72924i 0.277014 + 0.479802i 0.970641 0.240532i \(-0.0773218\pi\)
−0.693627 + 0.720334i \(0.743988\pi\)
\(332\) 1.46838 8.32759i 0.0805877 0.457036i
\(333\) 0.705737 4.00243i 0.0386742 0.219332i
\(334\) 8.60014 + 14.8959i 0.470579 + 0.815066i
\(335\) −6.59879 + 11.4294i −0.360531 + 0.624457i
\(336\) 0.141559 + 0.118782i 0.00772269 + 0.00648011i
\(337\) 7.87211 + 2.86521i 0.428821 + 0.156078i 0.547409 0.836865i \(-0.315614\pi\)
−0.118587 + 0.992944i \(0.537837\pi\)
\(338\) −27.1891 + 9.89603i −1.47889 + 0.538273i
\(339\) −0.577382 + 0.484481i −0.0313591 + 0.0263134i
\(340\) 0.608593 + 3.45150i 0.0330056 + 0.187184i
\(341\) 14.0273 0.759623
\(342\) −4.11721 + 1.43128i −0.222633 + 0.0773949i
\(343\) −2.58079 −0.139349
\(344\) 0.00727396 + 0.0412527i 0.000392186 + 0.00222420i
\(345\) −0.134285 + 0.112679i −0.00722968 + 0.00606642i
\(346\) 6.22416 2.26541i 0.334613 0.121789i
\(347\) −12.2306 4.45156i −0.656570 0.238972i −0.00781546 0.999969i \(-0.502488\pi\)
−0.648755 + 0.760997i \(0.724710\pi\)
\(348\) 3.05303 + 2.56180i 0.163660 + 0.137327i
\(349\) 3.35369 5.80877i 0.179519 0.310936i −0.762197 0.647345i \(-0.775879\pi\)
0.941716 + 0.336409i \(0.109213\pi\)
\(350\) 0.209607 + 0.363051i 0.0112040 + 0.0194059i
\(351\) −1.12449 + 6.37727i −0.0600206 + 0.340394i
\(352\) −0.754900 + 4.28125i −0.0402363 + 0.228191i
\(353\) −5.32295 9.21962i −0.283312 0.490711i 0.688886 0.724869i \(-0.258100\pi\)
−0.972198 + 0.234159i \(0.924767\pi\)
\(354\) −5.04576 + 8.73951i −0.268179 + 0.464500i
\(355\) 5.11721 + 4.29385i 0.271593 + 0.227894i
\(356\) 16.8550 + 6.13473i 0.893315 + 0.325140i
\(357\) 0.368241 0.134029i 0.0194894 0.00709355i
\(358\) −16.4119 + 13.7713i −0.867398 + 0.727833i
\(359\) −5.06418 28.7204i −0.267277 1.51580i −0.762472 0.647022i \(-0.776014\pi\)
0.495195 0.868782i \(-0.335097\pi\)
\(360\) −1.65270 −0.0871051
\(361\) 14.9029 11.7858i 0.784361 0.620305i
\(362\) −17.1848 −0.903213
\(363\) 1.37164 + 7.77898i 0.0719927 + 0.408291i
\(364\) −0.916689 + 0.769193i −0.0480475 + 0.0403167i
\(365\) 23.6024 8.59056i 1.23540 0.449650i
\(366\) −3.37939 1.23000i −0.176643 0.0642929i
\(367\) −2.71095 2.27476i −0.141511 0.118741i 0.569285 0.822141i \(-0.307220\pi\)
−0.710795 + 0.703399i \(0.751665\pi\)
\(368\) −0.0530334 + 0.0918566i −0.00276456 + 0.00478836i
\(369\) 4.31908 + 7.48086i 0.224842 + 0.389438i
\(370\) −1.16637 + 6.61484i −0.0606369 + 0.343889i
\(371\) −0.295607 + 1.67647i −0.0153472 + 0.0870380i
\(372\) 1.61334 + 2.79439i 0.0836478 + 0.144882i
\(373\) −5.10472 + 8.84164i −0.264313 + 0.457803i −0.967383 0.253317i \(-0.918478\pi\)
0.703071 + 0.711120i \(0.251812\pi\)
\(374\) 7.06212 + 5.92582i 0.365173 + 0.306417i
\(375\) −11.2883 4.10862i −0.582927 0.212168i
\(376\) 7.44356 2.70924i 0.383872 0.139718i
\(377\) −19.7704 + 16.5893i −1.01823 + 0.854393i
\(378\) 0.0320889 + 0.181985i 0.00165047 + 0.00936030i
\(379\) 12.6287 0.648691 0.324345 0.945939i \(-0.394856\pi\)
0.324345 + 0.945939i \(0.394856\pi\)
\(380\) 6.80453 2.36549i 0.349065 0.121347i
\(381\) −10.8229 −0.554476
\(382\) −1.14156 6.47410i −0.0584073 0.331244i
\(383\) −6.67546 + 5.60138i −0.341100 + 0.286217i −0.797205 0.603709i \(-0.793689\pi\)
0.456105 + 0.889926i \(0.349244\pi\)
\(384\) −0.939693 + 0.342020i −0.0479535 + 0.0174536i
\(385\) −1.24763 0.454099i −0.0635849 0.0231430i
\(386\) −8.69253 7.29390i −0.442438 0.371250i
\(387\) −0.0209445 + 0.0362770i −0.00106467 + 0.00184406i
\(388\) −5.34389 9.25589i −0.271295 0.469897i
\(389\) −1.50118 + 8.51363i −0.0761130 + 0.431658i 0.922810 + 0.385256i \(0.125887\pi\)
−0.998923 + 0.0464023i \(0.985224\pi\)
\(390\) 1.85844 10.5397i 0.0941058 0.533701i
\(391\) 0.112463 + 0.194792i 0.00568752 + 0.00985108i
\(392\) 3.48293 6.03260i 0.175914 0.304693i
\(393\) 8.30793 + 6.97118i 0.419080 + 0.351650i
\(394\) −6.05943 2.20545i −0.305270 0.111109i
\(395\) 19.2528 7.00746i 0.968716 0.352584i
\(396\) −3.33022 + 2.79439i −0.167350 + 0.140423i
\(397\) −1.19372 6.76990i −0.0599109 0.339771i 0.940088 0.340931i \(-0.110742\pi\)
−0.999999 + 0.00115924i \(0.999631\pi\)
\(398\) 16.7246 0.838330
\(399\) −0.392589 0.703343i −0.0196540 0.0352112i
\(400\) −2.26857 −0.113429
\(401\) −5.11200 28.9916i −0.255281 1.44777i −0.795351 0.606150i \(-0.792713\pi\)
0.540070 0.841620i \(-0.318398\pi\)
\(402\) −6.11721 + 5.13295i −0.305099 + 0.256008i
\(403\) −19.6348 + 7.14647i −0.978077 + 0.355991i
\(404\) −7.57785 2.75811i −0.377012 0.137221i
\(405\) −1.26604 1.06234i −0.0629103 0.0527880i
\(406\) −0.368241 + 0.637812i −0.0182755 + 0.0316541i
\(407\) 8.83409 + 15.3011i 0.437890 + 0.758447i
\(408\) −0.368241 + 2.08840i −0.0182306 + 0.103391i
\(409\) −3.69459 + 20.9531i −0.182686 + 1.03606i 0.746207 + 0.665714i \(0.231873\pi\)
−0.928893 + 0.370349i \(0.879238\pi\)
\(410\) −7.13816 12.3636i −0.352528 0.610597i
\(411\) 6.97565 12.0822i 0.344084 0.595970i
\(412\) 13.7344 + 11.5245i 0.676646 + 0.567774i
\(413\) −1.75237 0.637812i −0.0862287 0.0313847i
\(414\) −0.0996702 + 0.0362770i −0.00489852 + 0.00178292i
\(415\) −10.7057 + 8.98318i −0.525524 + 0.440967i
\(416\) −1.12449 6.37727i −0.0551324 0.312671i
\(417\) 5.96585 0.292149
\(418\) 9.71167 16.2716i 0.475013 0.795869i
\(419\) 15.8922 0.776384 0.388192 0.921579i \(-0.373100\pi\)
0.388192 + 0.921579i \(0.373100\pi\)
\(420\) −0.0530334 0.300767i −0.00258777 0.0146759i
\(421\) 15.0103 12.5951i 0.731556 0.613848i −0.199000 0.980000i \(-0.563769\pi\)
0.930555 + 0.366151i \(0.119325\pi\)
\(422\) 4.58512 1.66885i 0.223200 0.0812383i
\(423\) 7.44356 + 2.70924i 0.361918 + 0.131728i
\(424\) −7.05690 5.92145i −0.342714 0.287571i
\(425\) −2.40538 + 4.16624i −0.116678 + 0.202093i
\(426\) 2.02094 + 3.50038i 0.0979151 + 0.169594i
\(427\) 0.115400 0.654467i 0.00558461 0.0316719i
\(428\) −2.42902 + 13.7756i −0.117411 + 0.665870i
\(429\) −14.0758 24.3800i −0.679585 1.17708i
\(430\) 0.0346151 0.0599551i 0.00166929 0.00289129i
\(431\) −3.18273 2.67063i −0.153307 0.128640i 0.562908 0.826520i \(-0.309683\pi\)
−0.716215 + 0.697880i \(0.754127\pi\)
\(432\) −0.939693 0.342020i −0.0452110 0.0164555i
\(433\) 3.34730 1.21832i 0.160861 0.0585485i −0.260335 0.965518i \(-0.583833\pi\)
0.421195 + 0.906970i \(0.361611\pi\)
\(434\) −0.456767 + 0.383273i −0.0219255 + 0.0183977i
\(435\) −1.14378 6.48670i −0.0548401 0.311014i
\(436\) −4.77332 −0.228600
\(437\) 0.358441 0.292016i 0.0171465 0.0139690i
\(438\) 15.1976 0.726169
\(439\) −1.42649 8.09002i −0.0680826 0.386116i −0.999741 0.0227790i \(-0.992749\pi\)
0.931658 0.363337i \(-0.118363\pi\)
\(440\) 5.50387 4.61830i 0.262387 0.220169i
\(441\) 6.54576 2.38246i 0.311703 0.113451i
\(442\) −12.9042 4.69674i −0.613790 0.223401i
\(443\) −14.5137 12.1784i −0.689565 0.578614i 0.229219 0.973375i \(-0.426383\pi\)
−0.918784 + 0.394761i \(0.870827\pi\)
\(444\) −2.03209 + 3.51968i −0.0964387 + 0.167037i
\(445\) −14.8221 25.6726i −0.702634 1.21700i
\(446\) 4.99778 28.3438i 0.236652 1.34212i
\(447\) −2.46926 + 14.0038i −0.116792 + 0.662359i
\(448\) −0.0923963 0.160035i −0.00436531 0.00756094i
\(449\) −5.24628 + 9.08683i −0.247587 + 0.428834i −0.962856 0.270016i \(-0.912971\pi\)
0.715269 + 0.698850i \(0.246304\pi\)
\(450\) −1.73783 1.45821i −0.0819219 0.0687406i
\(451\) −35.2879 12.8438i −1.66164 0.604789i
\(452\) 0.708263 0.257787i 0.0333139 0.0121253i
\(453\) −11.6441 + 9.77055i −0.547087 + 0.459060i
\(454\) −0.652237 3.69902i −0.0306110 0.173604i
\(455\) 1.97771 0.0927165
\(456\) 4.35844 + 0.0632028i 0.204103 + 0.00295974i
\(457\) −0.415593 −0.0194406 −0.00972031 0.999953i \(-0.503094\pi\)
−0.00972031 + 0.999953i \(0.503094\pi\)
\(458\) 3.04189 + 17.2514i 0.142138 + 0.806105i
\(459\) −1.62449 + 1.36310i −0.0758245 + 0.0636243i
\(460\) 0.164725 0.0599551i 0.00768036 0.00279542i
\(461\) −23.7344 8.63862i −1.10542 0.402341i −0.276110 0.961126i \(-0.589045\pi\)
−0.829312 + 0.558785i \(0.811268\pi\)
\(462\) −0.615400 0.516382i −0.0286310 0.0240243i
\(463\) −9.39558 + 16.2736i −0.436650 + 0.756300i −0.997429 0.0716660i \(-0.977168\pi\)
0.560779 + 0.827966i \(0.310502\pi\)
\(464\) −1.99273 3.45150i −0.0925100 0.160232i
\(465\) 0.926022 5.25173i 0.0429432 0.243543i
\(466\) −1.21641 + 6.89863i −0.0563493 + 0.319573i
\(467\) 8.56670 + 14.8380i 0.396420 + 0.686619i 0.993281 0.115725i \(-0.0369192\pi\)
−0.596861 + 0.802344i \(0.703586\pi\)
\(468\) 3.23783 5.60808i 0.149669 0.259234i
\(469\) −1.13041 0.948531i −0.0521977 0.0437991i
\(470\) −12.3020 4.47756i −0.567449 0.206535i
\(471\) −8.83662 + 3.21627i −0.407170 + 0.148198i
\(472\) 7.73055 6.48670i 0.355827 0.298575i
\(473\) −0.0316221 0.179338i −0.00145398 0.00824595i
\(474\) 12.3969 0.569410
\(475\) 9.24211 + 3.51643i 0.424057 + 0.161345i
\(476\) −0.391874 −0.0179615
\(477\) −1.59967 9.07218i −0.0732439 0.415387i
\(478\) 0.716881 0.601535i 0.0327894 0.0275136i
\(479\) 10.2973 3.74789i 0.470494 0.171246i −0.0958823 0.995393i \(-0.530567\pi\)
0.566376 + 0.824147i \(0.308345\pi\)
\(480\) 1.55303 + 0.565258i 0.0708860 + 0.0258004i
\(481\) −20.1609 16.9170i −0.919258 0.771349i
\(482\) 14.3648 24.8806i 0.654300 1.13328i
\(483\) −0.00980018 0.0169744i −0.000445924 0.000772362i
\(484\) 1.37164 7.77898i 0.0623475 0.353590i
\(485\) −3.06728 + 17.3954i −0.139278 + 0.789884i
\(486\) −0.500000 0.866025i −0.0226805 0.0392837i
\(487\) −8.44016 + 14.6188i −0.382460 + 0.662440i −0.991413 0.130766i \(-0.958256\pi\)
0.608953 + 0.793206i \(0.291590\pi\)
\(488\) 2.75490 + 2.31164i 0.124708 + 0.104643i
\(489\) 7.16385 + 2.60743i 0.323960 + 0.117912i
\(490\) −10.8182 + 3.93750i −0.488716 + 0.177878i
\(491\) −8.62314 + 7.23567i −0.389157 + 0.326541i −0.816285 0.577650i \(-0.803970\pi\)
0.427128 + 0.904191i \(0.359525\pi\)
\(492\) −1.50000 8.50692i −0.0676252 0.383522i
\(493\) −8.45161 −0.380641
\(494\) −5.30406 + 27.7239i −0.238641 + 1.24736i
\(495\) 7.18479 0.322932
\(496\) −0.560307 3.17766i −0.0251585 0.142681i
\(497\) −0.572167 + 0.480105i −0.0256652 + 0.0215357i
\(498\) −7.94609 + 2.89214i −0.356073 + 0.129600i
\(499\) 9.18139 + 3.34175i 0.411015 + 0.149597i 0.539249 0.842147i \(-0.318708\pi\)
−0.128233 + 0.991744i \(0.540931\pi\)
\(500\) 9.20233 + 7.72167i 0.411541 + 0.345324i
\(501\) 8.60014 14.8959i 0.384226 0.665499i
\(502\) −12.0929 20.9455i −0.539731 0.934841i
\(503\) −6.50093 + 36.8686i −0.289862 + 1.64389i 0.397519 + 0.917594i \(0.369871\pi\)
−0.687381 + 0.726297i \(0.741240\pi\)
\(504\) 0.0320889 0.181985i 0.00142935 0.00810626i
\(505\) 6.66385 + 11.5421i 0.296537 + 0.513618i
\(506\) 0.230552 0.399328i 0.0102493 0.0177523i
\(507\) 22.1648 + 18.5985i 0.984373 + 0.825987i
\(508\) 10.1702 + 3.70167i 0.451232 + 0.164235i
\(509\) 3.49273 1.27125i 0.154812 0.0563471i −0.263452 0.964673i \(-0.584861\pi\)
0.418264 + 0.908326i \(0.362639\pi\)
\(510\) 2.68479 2.25281i 0.118885 0.0997560i
\(511\) 0.487674 + 2.76573i 0.0215734 + 0.122349i
\(512\) 1.00000 0.0441942
\(513\) 3.29813 + 2.84997i 0.145616 + 0.125829i
\(514\) 8.80066 0.388180
\(515\) −5.14543 29.1812i −0.226735 1.28588i
\(516\) 0.0320889 0.0269258i 0.00141263 0.00118534i
\(517\) −32.3594 + 11.7778i −1.42316 + 0.517989i
\(518\) −0.705737 0.256867i −0.0310083 0.0112861i
\(519\) −5.07398 4.25757i −0.222723 0.186887i
\(520\) −5.35117 + 9.26849i −0.234664 + 0.406450i
\(521\) 0.446089 + 0.772649i 0.0195435 + 0.0338504i 0.875632 0.482979i \(-0.160445\pi\)
−0.856088 + 0.516830i \(0.827112\pi\)
\(522\) 0.692066 3.92490i 0.0302909 0.171788i
\(523\) −2.44238 + 13.8514i −0.106798 + 0.605681i 0.883689 + 0.468074i \(0.155052\pi\)
−0.990487 + 0.137606i \(0.956059\pi\)
\(524\) −5.42262 9.39225i −0.236888 0.410302i
\(525\) 0.209607 0.363051i 0.00914802 0.0158448i
\(526\) 1.00206 + 0.840828i 0.0436919 + 0.0366618i
\(527\) −6.42989 2.34029i −0.280091 0.101945i
\(528\) 4.08512 1.48686i 0.177782 0.0647074i
\(529\) −17.6104 + 14.7769i −0.765670 + 0.642473i
\(530\) 2.64378 + 14.9936i 0.114839 + 0.651281i
\(531\) 10.0915 0.437935
\(532\) 0.128356 + 0.795199i 0.00556492 + 0.0344763i
\(533\) 55.9377 2.42293
\(534\) −3.11468 17.6643i −0.134786 0.764407i
\(535\) 17.7096 14.8601i 0.765653 0.642459i
\(536\) 7.50387 2.73119i 0.324118 0.117969i
\(537\) 20.1322 + 7.32753i 0.868770 + 0.316206i
\(538\) 6.70368 + 5.62505i 0.289016 + 0.242513i
\(539\) −15.1413 + 26.2255i −0.652182 + 1.12961i
\(540\) 0.826352 + 1.43128i 0.0355605 + 0.0615926i
\(541\) 4.44862 25.2294i 0.191261 1.08469i −0.726383 0.687290i \(-0.758800\pi\)
0.917644 0.397404i \(-0.130089\pi\)
\(542\) −2.38713 + 13.5381i −0.102536 + 0.581510i
\(543\) 8.59240 + 14.8825i 0.368735 + 0.638668i
\(544\) 1.06031 1.83651i 0.0454603 0.0787396i
\(545\) 6.04323 + 5.07087i 0.258864 + 0.217212i
\(546\) 1.12449 + 0.409279i 0.0481235 + 0.0175155i
\(547\) −34.1263 + 12.4210i −1.45914 + 0.531082i −0.945127 0.326704i \(-0.894062\pi\)
−0.514008 + 0.857785i \(0.671840\pi\)
\(548\) −10.6873 + 8.96773i −0.456540 + 0.383082i
\(549\) 0.624485 + 3.54163i 0.0266524 + 0.151153i
\(550\) 9.86215 0.420523
\(551\) 2.76827 + 17.1502i 0.117932 + 0.730623i
\(552\) 0.106067 0.00451450
\(553\) 0.397804 + 2.25606i 0.0169163 + 0.0959373i
\(554\) 19.1570 16.0747i 0.813905 0.682947i
\(555\) 6.31180 2.29731i 0.267921 0.0975153i
\(556\) −5.60607 2.04044i −0.237750 0.0865340i
\(557\) 17.8635 + 14.9893i 0.756900 + 0.635115i 0.937318 0.348475i \(-0.113300\pi\)
−0.180418 + 0.983590i \(0.557745\pi\)
\(558\) 1.61334 2.79439i 0.0682982 0.118296i
\(559\) 0.135630 + 0.234917i 0.00573652 + 0.00993594i
\(560\) −0.0530334 + 0.300767i −0.00224107 + 0.0127097i
\(561\) 1.60085 9.07888i 0.0675880 0.383311i
\(562\) −6.07785 10.5271i −0.256379 0.444061i
\(563\) −2.26991 + 3.93161i −0.0956655 + 0.165698i −0.909886 0.414858i \(-0.863831\pi\)
0.814221 + 0.580556i \(0.197165\pi\)
\(564\) −6.06805 5.09170i −0.255511 0.214399i
\(565\) −1.17055 0.426045i −0.0492454 0.0179239i
\(566\) 10.0522 3.65869i 0.422524 0.153786i
\(567\) 0.141559 0.118782i 0.00594493 0.00498839i
\(568\) −0.701867 3.98048i −0.0294497 0.167017i
\(569\) −6.26621 −0.262693 −0.131347 0.991337i \(-0.541930\pi\)
−0.131347 + 0.991337i \(0.541930\pi\)
\(570\) −5.45084 4.71015i −0.228310 0.197287i
\(571\) 1.03777 0.0434293 0.0217147 0.999764i \(-0.493087\pi\)
0.0217147 + 0.999764i \(0.493087\pi\)
\(572\) 4.88847 + 27.7239i 0.204397 + 1.15919i
\(573\) −5.03596 + 4.22567i −0.210380 + 0.176530i
\(574\) 1.50000 0.545955i 0.0626088 0.0227877i
\(575\) 0.226109 + 0.0822969i 0.00942940 + 0.00343202i
\(576\) 0.766044 + 0.642788i 0.0319185 + 0.0267828i
\(577\) 20.1211 34.8507i 0.837652 1.45086i −0.0542015 0.998530i \(-0.517261\pi\)
0.891853 0.452325i \(-0.149405\pi\)
\(578\) 6.25150 + 10.8279i 0.260028 + 0.450382i
\(579\) −1.97044 + 11.1749i −0.0818886 + 0.464413i
\(580\) −1.14378 + 6.48670i −0.0474929 + 0.269346i
\(581\) −0.781308 1.35326i −0.0324141 0.0561429i
\(582\) −5.34389 + 9.25589i −0.221511 + 0.383669i
\(583\) 30.6785 + 25.7423i 1.27057 + 1.06614i
\(584\) −14.2811 5.19788i −0.590954 0.215090i
\(585\) −10.0569 + 3.66041i −0.415802 + 0.151339i
\(586\) −10.2246 + 8.57948i −0.422375 + 0.354415i
\(587\) −8.37598 47.5026i −0.345714 1.96064i −0.266766 0.963761i \(-0.585955\pi\)
−0.0789482 0.996879i \(-0.525156\pi\)
\(588\) −6.96585 −0.287267
\(589\) −2.64290 + 13.8142i −0.108899 + 0.569206i
\(590\) −16.6783 −0.686634
\(591\) 1.11974 + 6.35035i 0.0460598 + 0.261218i
\(592\) 3.11334 2.61240i 0.127958 0.107369i
\(593\) 16.4217 5.97702i 0.674360 0.245447i 0.0179361 0.999839i \(-0.494290\pi\)
0.656424 + 0.754392i \(0.272068\pi\)
\(594\) 4.08512 + 1.48686i 0.167615 + 0.0610067i
\(595\) 0.496130 + 0.416302i 0.0203393 + 0.0170667i
\(596\) 7.10994 12.3148i 0.291234 0.504433i
\(597\) −8.36231 14.4839i −0.342247 0.592789i
\(598\) −0.119271 + 0.676417i −0.00487734 + 0.0276608i
\(599\) 3.80376 21.5722i 0.155417 0.881416i −0.802986 0.595998i \(-0.796757\pi\)
0.958403 0.285418i \(-0.0921323\pi\)
\(600\) 1.13429 + 1.96464i 0.0463070 + 0.0802061i
\(601\) −4.63903 + 8.03504i −0.189230 + 0.327756i −0.944994 0.327088i \(-0.893933\pi\)
0.755764 + 0.654844i \(0.227266\pi\)
\(602\) 0.00592979 + 0.00497568i 0.000241680 + 0.000202794i
\(603\) 7.50387 + 2.73119i 0.305581 + 0.111222i
\(604\) 14.2836 5.19880i 0.581191 0.211536i
\(605\) −10.0005 + 8.39139i −0.406577 + 0.341158i
\(606\) 1.40033 + 7.94166i 0.0568845 + 0.322608i
\(607\) 29.3354 1.19069 0.595344 0.803471i \(-0.297016\pi\)
0.595344 + 0.803471i \(0.297016\pi\)
\(608\) −4.07398 1.55007i −0.165222 0.0628635i
\(609\) 0.736482 0.0298437
\(610\) −1.03209 5.85327i −0.0417881 0.236992i
\(611\) 39.2946 32.9721i 1.58969 1.33391i
\(612\) 1.99273 0.725293i 0.0805512 0.0293182i
\(613\) 22.7875 + 8.29396i 0.920377 + 0.334990i 0.758388 0.651803i \(-0.225987\pi\)
0.161988 + 0.986793i \(0.448209\pi\)
\(614\) 11.9987 + 10.0681i 0.484226 + 0.406314i
\(615\) −7.13816 + 12.3636i −0.287838 + 0.498550i
\(616\) 0.401674 + 0.695720i 0.0161839 + 0.0280313i
\(617\) 3.47834 19.7266i 0.140033 0.794165i −0.831189 0.555989i \(-0.812340\pi\)
0.971222 0.238176i \(-0.0765494\pi\)
\(618\) 3.11334 17.6566i 0.125237 0.710254i
\(619\) 4.00774 + 6.94161i 0.161085 + 0.279007i 0.935258 0.353967i \(-0.115167\pi\)
−0.774173 + 0.632974i \(0.781834\pi\)
\(620\) −2.66637 + 4.61830i −0.107084 + 0.185475i
\(621\) 0.0812519 + 0.0681784i 0.00326053 + 0.00273591i
\(622\) −8.55690 3.11446i −0.343101 0.124878i
\(623\) 3.11468 1.13365i 0.124787 0.0454188i
\(624\) −4.96064 + 4.16247i −0.198584 + 0.166632i
\(625\) −1.47787 8.38144i −0.0591149 0.335257i
\(626\) 17.7469 0.709309
\(627\) −18.9474 0.274761i −0.756688 0.0109729i
\(628\) 9.40373 0.375250
\(629\) −1.49660 8.48762i −0.0596732 0.338424i
\(630\) −0.233956 + 0.196312i −0.00932101 + 0.00782126i
\(631\) −3.74763 + 1.36402i −0.149191 + 0.0543010i −0.415536 0.909577i \(-0.636406\pi\)
0.266345 + 0.963878i \(0.414184\pi\)
\(632\) −11.6493 4.24000i −0.463384 0.168658i
\(633\) −3.73783 3.13641i −0.148565 0.124661i
\(634\) −15.5228 + 26.8862i −0.616487 + 1.06779i
\(635\) −8.94356 15.4907i −0.354914 0.614730i
\(636\) −1.59967 + 9.07218i −0.0634311 + 0.359735i
\(637\) 7.83300 44.4231i 0.310355 1.76011i
\(638\) 8.66297 + 15.0047i 0.342970 + 0.594042i
\(639\) 2.02094 3.50038i 0.0799473 0.138473i
\(640\) −1.26604 1.06234i −0.0500448 0.0419926i
\(641\) 26.2221 + 9.54406i 1.03571 + 0.376968i 0.803253 0.595639i \(-0.203101\pi\)
0.232458 + 0.972606i \(0.425323\pi\)
\(642\) 13.1446 4.78423i 0.518774 0.188818i
\(643\) −8.27584 + 6.94426i −0.326367 + 0.273855i −0.791218 0.611534i \(-0.790553\pi\)
0.464850 + 0.885389i \(0.346108\pi\)
\(644\) 0.00340357 + 0.0193026i 0.000134119 + 0.000760628i
\(645\) −0.0692302 −0.00272594
\(646\) −7.16637 + 5.83834i −0.281957 + 0.229706i
\(647\) −34.4662 −1.35500 −0.677502 0.735521i \(-0.736938\pi\)
−0.677502 + 0.735521i \(0.736938\pi\)
\(648\) 0.173648 + 0.984808i 0.00682154 + 0.0386869i
\(649\) −33.6070 + 28.1996i −1.31919 + 1.10693i
\(650\) −13.8045 + 5.02444i −0.541458 + 0.197075i
\(651\) 0.560307 + 0.203935i 0.0219602 + 0.00799285i
\(652\) −5.84002 4.90036i −0.228713 0.191913i
\(653\) 11.4971 19.9135i 0.449915 0.779275i −0.548465 0.836173i \(-0.684788\pi\)
0.998380 + 0.0568980i \(0.0181210\pi\)
\(654\) 2.38666 + 4.13381i 0.0933258 + 0.161645i
\(655\) −3.11246 + 17.6517i −0.121614 + 0.689707i
\(656\) −1.50000 + 8.50692i −0.0585652 + 0.332140i
\(657\) −7.59879 13.1615i −0.296457 0.513479i
\(658\) 0.731896 1.26768i 0.0285323 0.0494194i
\(659\) −26.0742 21.8788i −1.01571 0.852279i −0.0266245 0.999646i \(-0.508476\pi\)
−0.989082 + 0.147367i \(0.952920\pi\)
\(660\) −6.75150 2.45734i −0.262802 0.0956520i
\(661\) −8.04411 + 2.92782i −0.312880 + 0.113879i −0.493687 0.869640i \(-0.664351\pi\)
0.180807 + 0.983519i \(0.442129\pi\)
\(662\) −7.72147 + 6.47908i −0.300103 + 0.251817i
\(663\) 2.38460 + 13.5237i 0.0926102 + 0.525218i
\(664\) 8.45605 0.328158
\(665\) 0.682266 1.14311i 0.0264572 0.0443281i
\(666\) 4.06418 0.157484
\(667\) 0.0734053 + 0.416302i 0.00284226 + 0.0161193i
\(668\) −13.1762 + 11.0561i −0.509801 + 0.427774i
\(669\) −27.0453 + 9.84370i −1.04563 + 0.380580i
\(670\) −12.4017 4.51384i −0.479118 0.174385i
\(671\) −11.9764 10.0494i −0.462343 0.387951i
\(672\) −0.0923963 + 0.160035i −0.00356426 + 0.00617349i
\(673\) 6.07011 + 10.5137i 0.233985 + 0.405275i 0.958977 0.283483i \(-0.0914899\pi\)
−0.724992 + 0.688757i \(0.758157\pi\)
\(674\) −1.45471 + 8.25006i −0.0560332 + 0.317780i
\(675\) −0.393933 + 2.23411i −0.0151625 + 0.0859908i
\(676\) −14.4670 25.0576i −0.556424 0.963755i
\(677\) −0.776722 + 1.34532i −0.0298519 + 0.0517049i −0.880565 0.473925i \(-0.842837\pi\)
0.850714 + 0.525630i \(0.176170\pi\)
\(678\) −0.577382 0.484481i −0.0221742 0.0186064i
\(679\) −1.85591 0.675498i −0.0712235 0.0259232i
\(680\) −3.29339 + 1.19869i −0.126296 + 0.0459678i
\(681\) −2.87733 + 2.41436i −0.110259 + 0.0925186i
\(682\) 2.43582 + 13.8142i 0.0932725 + 0.528974i
\(683\) −35.3892 −1.35413 −0.677065 0.735923i \(-0.736748\pi\)
−0.677065 + 0.735923i \(0.736748\pi\)
\(684\) −2.12449 3.80612i −0.0812317 0.145531i
\(685\) 23.0574 0.880977
\(686\) −0.448149 2.54158i −0.0171104 0.0970379i
\(687\) 13.4192 11.2601i 0.511975 0.429598i
\(688\) −0.0393628 + 0.0143269i −0.00150069 + 0.000546208i
\(689\) −56.0570 20.4031i −2.13560 0.777295i
\(690\) −0.134285 0.112679i −0.00511216 0.00428961i
\(691\) 19.6411 34.0195i 0.747185 1.29416i −0.201983 0.979389i \(-0.564738\pi\)
0.949167 0.314772i \(-0.101928\pi\)
\(692\) 3.31180 + 5.73621i 0.125896 + 0.218058i
\(693\) −0.139500 + 0.791143i −0.00529916 + 0.0300530i
\(694\) 2.26011 12.8177i 0.0857928 0.486555i
\(695\) 4.92989 + 8.53882i 0.187001 + 0.323896i
\(696\) −1.99273 + 3.45150i −0.0755341 + 0.130829i
\(697\) 14.0326 + 11.7747i 0.531521 + 0.445999i
\(698\) 6.30288 + 2.29406i 0.238568 + 0.0868315i
\(699\) 6.58260 2.39587i 0.248977 0.0906201i
\(700\) −0.321137 + 0.269466i −0.0121378 + 0.0101849i
\(701\) 2.89171 + 16.3997i 0.109218 + 0.619409i 0.989451 + 0.144866i \(0.0462752\pi\)
−0.880233 + 0.474542i \(0.842614\pi\)
\(702\) −6.47565 −0.244408
\(703\) −16.7331 + 5.81699i −0.631100 + 0.219392i
\(704\) −4.34730 −0.163845
\(705\) 2.27332 + 12.8926i 0.0856181 + 0.485565i
\(706\) 8.15523 6.84305i 0.306926 0.257542i
\(707\) −1.40033 + 0.509678i −0.0526648 + 0.0191684i
\(708\) −9.48293 3.45150i −0.356390 0.129715i
\(709\) 33.3723 + 28.0027i 1.25332 + 1.05166i 0.996360 + 0.0852428i \(0.0271666\pi\)
0.256964 + 0.966421i \(0.417278\pi\)
\(710\) −3.34002 + 5.78509i −0.125349 + 0.217111i
\(711\) −6.19846 10.7361i −0.232461 0.402633i
\(712\) −3.11468 + 17.6643i −0.116728 + 0.661996i
\(713\) −0.0594300 + 0.337044i −0.00222567 + 0.0126224i
\(714\) 0.195937 + 0.339373i 0.00733275 + 0.0127007i
\(715\) 23.2631 40.2929i 0.869991 1.50687i
\(716\) −16.4119 13.7713i −0.613343 0.514656i
\(717\) −0.879385 0.320070i −0.0328412 0.0119532i
\(718\) 27.4047 9.97448i 1.02273 0.372244i
\(719\) 4.94949 4.15312i 0.184585 0.154885i −0.545813 0.837907i \(-0.683779\pi\)
0.730398 + 0.683022i \(0.239335\pi\)
\(720\) −0.286989 1.62760i −0.0106954 0.0606569i
\(721\) 3.31315 0.123388
\(722\) 14.1946 + 12.6299i 0.528268 + 0.470035i
\(723\) −28.7297 −1.06847
\(724\) −2.98411 16.9237i −0.110903 0.628965i
\(725\) −6.92602 + 5.81162i −0.257226 + 0.215838i
\(726\) −7.42262 + 2.70161i −0.275479 + 0.100266i
\(727\) −1.73308 0.630789i −0.0642763 0.0233947i 0.309682 0.950840i \(-0.399777\pi\)
−0.373958 + 0.927446i \(0.622000\pi\)
\(728\) −0.916689 0.769193i −0.0339747 0.0285082i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) 12.5586 + 21.7521i 0.464813 + 0.805080i
\(731\) −0.0154253 + 0.0874810i −0.000570524 + 0.00323560i
\(732\) 0.624485 3.54163i 0.0230816 0.130902i
\(733\) −16.1793 28.0234i −0.597597 1.03507i −0.993175 0.116636i \(-0.962789\pi\)
0.395578 0.918433i \(-0.370544\pi\)
\(734\) 1.76945 3.06477i 0.0653115 0.113123i
\(735\) 8.81908 + 7.40008i 0.325297 + 0.272956i
\(736\) −0.0996702 0.0362770i −0.00367389 0.00133719i
\(737\) −32.6215 + 11.8733i −1.20163 + 0.437358i
\(738\) −6.61721 + 5.55250i −0.243583 + 0.204390i
\(739\) −1.89899 10.7697i −0.0698553 0.396169i −0.999608 0.0279854i \(-0.991091\pi\)
0.929753 0.368184i \(-0.120020\pi\)
\(740\) −6.71688 −0.246917
\(741\) 26.6616 9.26849i 0.979439 0.340487i
\(742\) −1.70233 −0.0624946
\(743\) −1.81820 10.3115i −0.0667033 0.378293i −0.999825 0.0187314i \(-0.994037\pi\)
0.933121 0.359562i \(-0.117074\pi\)
\(744\) −2.47178 + 2.07407i −0.0906199 + 0.0760391i
\(745\) −22.0839 + 8.03790i −0.809093 + 0.294486i
\(746\) −9.59374 3.49184i −0.351252 0.127845i
\(747\) 6.47771 + 5.43545i 0.237007 + 0.198873i
\(748\) −4.60947 + 7.98384i −0.168539 + 0.291918i
\(749\) 1.29245 + 2.23859i 0.0472252 + 0.0817964i
\(750\) 2.08600 11.8303i 0.0761699 0.431981i
\(751\) −4.58079 + 25.9789i −0.167155 + 0.947984i 0.779659 + 0.626204i \(0.215392\pi\)
−0.946814 + 0.321780i \(0.895719\pi\)
\(752\) 3.96064 + 6.86002i 0.144430 + 0.250159i
\(753\) −12.0929 + 20.9455i −0.440688 + 0.763295i
\(754\) −19.7704 16.5893i −0.719995 0.604147i
\(755\) −23.6065 8.59208i −0.859130 0.312698i
\(756\) −0.173648 + 0.0632028i −0.00631552 + 0.00229866i
\(757\) 17.4715 14.6604i 0.635014 0.532840i −0.267469 0.963567i \(-0.586187\pi\)
0.902482 + 0.430727i \(0.141743\pi\)
\(758\) 2.19294 + 12.4368i 0.0796513 + 0.451725i
\(759\) −0.461104 −0.0167370
\(760\) 3.51114 + 6.29039i 0.127363 + 0.228176i
\(761\) 41.5012 1.50442 0.752209 0.658924i \(-0.228988\pi\)
0.752209 + 0.658924i \(0.228988\pi\)
\(762\) −1.87939 10.6585i −0.0680829 0.386118i
\(763\) −0.675708 + 0.566986i −0.0244623 + 0.0205263i
\(764\) 6.17752 2.24843i 0.223495 0.0813454i
\(765\) −3.29339 1.19869i −0.119073 0.0433389i
\(766\) −6.67546 5.60138i −0.241194 0.202386i
\(767\) 32.6746 56.5940i 1.17981 2.04349i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) 3.29948 18.7123i 0.118982 0.674782i −0.865719 0.500530i \(-0.833138\pi\)
0.984701 0.174251i \(-0.0557505\pi\)
\(770\) 0.230552 1.30753i 0.00830852 0.0471199i
\(771\) −4.40033 7.62159i −0.158474 0.274485i