Properties

Label 114.2.i.d.43.1
Level $114$
Weight $2$
Character 114.43
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 43.1
Root \(0.939693 - 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 114.43
Dual form 114.2.i.d.61.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(-0.173648 + 0.984808i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.907604 + 0.761570i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-0.266044 - 0.460802i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-0.939693 - 0.342020i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(-0.173648 + 0.984808i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.907604 + 0.761570i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-0.266044 - 0.460802i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-0.939693 - 0.342020i) q^{9} +(1.11334 + 0.405223i) q^{10} +(-0.939693 + 1.62760i) q^{11} +(0.500000 + 0.866025i) q^{12} +(-0.673648 - 3.82045i) q^{13} +(-0.407604 - 0.342020i) q^{14} +(-0.907604 + 0.761570i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-1.09240 + 0.397600i) q^{17} -1.00000 q^{18} +(-3.93969 - 1.86516i) q^{19} +1.18479 q^{20} +(0.500000 - 0.181985i) q^{21} +(-0.326352 + 1.85083i) q^{22} +(-5.13429 + 4.30818i) q^{23} +(0.766044 + 0.642788i) q^{24} +(-0.624485 - 3.54163i) q^{25} +(-1.93969 - 3.35965i) q^{26} +(0.500000 - 0.866025i) q^{27} +(-0.500000 - 0.181985i) q^{28} +(3.77972 + 1.37570i) q^{29} +(-0.592396 + 1.02606i) q^{30} +(0.979055 + 1.69577i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(-1.43969 - 1.20805i) q^{33} +(-0.890530 + 0.747243i) q^{34} +(0.109470 - 0.620838i) q^{35} +(-0.939693 + 0.342020i) q^{36} +6.88713 q^{37} +(-4.34002 - 0.405223i) q^{38} +3.87939 q^{39} +(1.11334 - 0.405223i) q^{40} +(-1.56031 + 8.84894i) q^{41} +(0.407604 - 0.342020i) q^{42} +(1.85844 + 1.55942i) q^{43} +(0.326352 + 1.85083i) q^{44} +(-0.592396 - 1.02606i) q^{45} +(-3.35117 + 5.80439i) q^{46} +(-1.91875 - 0.698367i) q^{47} +(0.939693 + 0.342020i) q^{48} +(3.35844 - 5.81699i) q^{49} +(-1.79813 - 3.11446i) q^{50} +(-0.201867 - 1.14484i) q^{51} +(-2.97178 - 2.49362i) q^{52} +(9.93629 - 8.33754i) q^{53} +(0.173648 - 0.984808i) q^{54} +(-2.09240 + 0.761570i) q^{55} -0.532089 q^{56} +(2.52094 - 3.55596i) q^{57} +4.02229 q^{58} +(2.51842 - 0.916629i) q^{59} +(-0.205737 + 1.16679i) q^{60} +(-8.69253 + 7.29390i) q^{61} +(1.50000 + 1.25865i) q^{62} +(0.0923963 + 0.524005i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(2.29813 - 3.98048i) q^{65} +(-1.76604 - 0.642788i) q^{66} +(10.4966 + 3.82045i) q^{67} +(-0.581252 + 1.00676i) q^{68} +(-3.35117 - 5.80439i) q^{69} +(-0.109470 - 0.620838i) q^{70} +(4.65136 + 3.90295i) q^{71} +(-0.766044 + 0.642788i) q^{72} +(-0.0569038 + 0.322718i) q^{73} +(6.47178 - 2.35554i) q^{74} +3.59627 q^{75} +(-4.21688 + 1.10359i) q^{76} +1.00000 q^{77} +(3.64543 - 1.32683i) q^{78} +(-2.80154 + 15.8883i) q^{79} +(0.907604 - 0.761570i) q^{80} +(0.766044 + 0.642788i) q^{81} +(1.56031 + 8.84894i) q^{82} +(-5.78699 - 10.0234i) q^{83} +(0.266044 - 0.460802i) q^{84} +(-1.29426 - 0.471073i) q^{85} +(2.27972 + 0.829748i) q^{86} +(-2.01114 + 3.48340i) q^{87} +(0.939693 + 1.62760i) q^{88} +(-0.618089 - 3.50535i) q^{89} +(-0.907604 - 0.761570i) q^{90} +(-1.58125 + 1.32683i) q^{91} +(-1.16385 + 6.60051i) q^{92} +(-1.84002 + 0.669713i) q^{93} -2.04189 q^{94} +(-2.15523 - 4.69318i) q^{95} +1.00000 q^{96} +(-5.52481 + 2.01087i) q^{97} +(1.16637 - 6.61484i) q^{98} +(1.43969 - 1.20805i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q + 9q^{5} + 3q^{7} + 3q^{8} + O(q^{10}) \) \( 6q + 9q^{5} + 3q^{7} + 3q^{8} + 3q^{12} - 3q^{13} - 6q^{14} - 9q^{15} - 3q^{17} - 6q^{18} - 18q^{19} + 3q^{21} - 3q^{22} - 21q^{23} + 9q^{25} - 6q^{26} + 3q^{27} - 3q^{28} - 3q^{29} + 9q^{31} - 3q^{33} + 12q^{34} + 18q^{35} - 18q^{37} - 6q^{38} + 12q^{39} - 15q^{41} + 6q^{42} + 3q^{43} + 3q^{44} + 6q^{46} - 9q^{47} + 12q^{49} + 3q^{50} - 15q^{51} - 3q^{52} + 12q^{53} - 9q^{55} + 6q^{56} + 12q^{57} + 12q^{58} + 27q^{59} + 9q^{60} + 3q^{61} + 9q^{62} - 3q^{63} - 3q^{64} - 6q^{66} + 21q^{67} - 6q^{68} + 6q^{69} - 18q^{70} + 39q^{71} + 36q^{73} + 24q^{74} - 6q^{75} - 9q^{76} + 6q^{77} + 6q^{78} - 45q^{79} + 9q^{80} + 15q^{82} - 27q^{83} - 3q^{84} - 18q^{85} - 12q^{86} - 6q^{87} - 30q^{89} - 9q^{90} - 12q^{91} - 3q^{92} + 9q^{93} - 6q^{94} + 6q^{96} - 6q^{97} - 12q^{98} + 3q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 0.342020i 0.664463 0.241845i
\(3\) −0.173648 + 0.984808i −0.100256 + 0.568579i
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 0.907604 + 0.761570i 0.405893 + 0.340584i 0.822766 0.568380i \(-0.192430\pi\)
−0.416873 + 0.908965i \(0.636874\pi\)
\(6\) 0.173648 + 0.984808i 0.0708916 + 0.402046i
\(7\) −0.266044 0.460802i −0.100555 0.174167i 0.811358 0.584549i \(-0.198729\pi\)
−0.911914 + 0.410382i \(0.865395\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) −0.939693 0.342020i −0.313231 0.114007i
\(10\) 1.11334 + 0.405223i 0.352069 + 0.128143i
\(11\) −0.939693 + 1.62760i −0.283328 + 0.490738i −0.972202 0.234142i \(-0.924772\pi\)
0.688874 + 0.724881i \(0.258105\pi\)
\(12\) 0.500000 + 0.866025i 0.144338 + 0.250000i
\(13\) −0.673648 3.82045i −0.186836 1.05960i −0.923573 0.383422i \(-0.874745\pi\)
0.736737 0.676180i \(-0.236366\pi\)
\(14\) −0.407604 0.342020i −0.108937 0.0914087i
\(15\) −0.907604 + 0.761570i −0.234342 + 0.196637i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −1.09240 + 0.397600i −0.264945 + 0.0964321i −0.471077 0.882092i \(-0.656135\pi\)
0.206132 + 0.978524i \(0.433912\pi\)
\(18\) −1.00000 −0.235702
\(19\) −3.93969 1.86516i −0.903827 0.427897i
\(20\) 1.18479 0.264928
\(21\) 0.500000 0.181985i 0.109109 0.0397124i
\(22\) −0.326352 + 1.85083i −0.0695784 + 0.394599i
\(23\) −5.13429 + 4.30818i −1.07057 + 0.898317i −0.995104 0.0988312i \(-0.968490\pi\)
−0.0754683 + 0.997148i \(0.524045\pi\)
\(24\) 0.766044 + 0.642788i 0.156368 + 0.131208i
\(25\) −0.624485 3.54163i −0.124897 0.708326i
\(26\) −1.93969 3.35965i −0.380405 0.658881i
\(27\) 0.500000 0.866025i 0.0962250 0.166667i
\(28\) −0.500000 0.181985i −0.0944911 0.0343920i
\(29\) 3.77972 + 1.37570i 0.701875 + 0.255462i 0.668211 0.743971i \(-0.267060\pi\)
0.0336640 + 0.999433i \(0.489282\pi\)
\(30\) −0.592396 + 1.02606i −0.108156 + 0.187332i
\(31\) 0.979055 + 1.69577i 0.175844 + 0.304570i 0.940453 0.339924i \(-0.110401\pi\)
−0.764609 + 0.644494i \(0.777068\pi\)
\(32\) −0.173648 0.984808i −0.0306970 0.174091i
\(33\) −1.43969 1.20805i −0.250618 0.210294i
\(34\) −0.890530 + 0.747243i −0.152725 + 0.128151i
\(35\) 0.109470 0.620838i 0.0185039 0.104941i
\(36\) −0.939693 + 0.342020i −0.156615 + 0.0570034i
\(37\) 6.88713 1.13224 0.566118 0.824324i \(-0.308445\pi\)
0.566118 + 0.824324i \(0.308445\pi\)
\(38\) −4.34002 0.405223i −0.704045 0.0657358i
\(39\) 3.87939 0.621199
\(40\) 1.11334 0.405223i 0.176035 0.0640714i
\(41\) −1.56031 + 8.84894i −0.243679 + 1.38197i 0.579861 + 0.814715i \(0.303107\pi\)
−0.823540 + 0.567258i \(0.808004\pi\)
\(42\) 0.407604 0.342020i 0.0628946 0.0527749i
\(43\) 1.85844 + 1.55942i 0.283410 + 0.237809i 0.773399 0.633919i \(-0.218555\pi\)
−0.489989 + 0.871728i \(0.662999\pi\)
\(44\) 0.326352 + 1.85083i 0.0491994 + 0.279024i
\(45\) −0.592396 1.02606i −0.0883092 0.152956i
\(46\) −3.35117 + 5.80439i −0.494103 + 0.855811i
\(47\) −1.91875 0.698367i −0.279878 0.101867i 0.198267 0.980148i \(-0.436469\pi\)
−0.478145 + 0.878281i \(0.658691\pi\)
\(48\) 0.939693 + 0.342020i 0.135633 + 0.0493664i
\(49\) 3.35844 5.81699i 0.479777 0.830999i
\(50\) −1.79813 3.11446i −0.254294 0.440451i
\(51\) −0.201867 1.14484i −0.0282670 0.160310i
\(52\) −2.97178 2.49362i −0.412112 0.345803i
\(53\) 9.93629 8.33754i 1.36485 1.14525i 0.390404 0.920643i \(-0.372335\pi\)
0.974450 0.224605i \(-0.0721093\pi\)
\(54\) 0.173648 0.984808i 0.0236305 0.134015i
\(55\) −2.09240 + 0.761570i −0.282139 + 0.102690i
\(56\) −0.532089 −0.0711034
\(57\) 2.52094 3.55596i 0.333907 0.470998i
\(58\) 4.02229 0.528152
\(59\) 2.51842 0.916629i 0.327870 0.119335i −0.172840 0.984950i \(-0.555294\pi\)
0.500710 + 0.865615i \(0.333072\pi\)
\(60\) −0.205737 + 1.16679i −0.0265605 + 0.150632i
\(61\) −8.69253 + 7.29390i −1.11296 + 0.933888i −0.998228 0.0595075i \(-0.981047\pi\)
−0.114737 + 0.993396i \(0.536603\pi\)
\(62\) 1.50000 + 1.25865i 0.190500 + 0.159849i
\(63\) 0.0923963 + 0.524005i 0.0116408 + 0.0660185i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 2.29813 3.98048i 0.285048 0.493718i
\(66\) −1.76604 0.642788i −0.217385 0.0791217i
\(67\) 10.4966 + 3.82045i 1.28236 + 0.466742i 0.891213 0.453585i \(-0.149855\pi\)
0.391150 + 0.920327i \(0.372077\pi\)
\(68\) −0.581252 + 1.00676i −0.0704871 + 0.122087i
\(69\) −3.35117 5.80439i −0.403433 0.698767i
\(70\) −0.109470 0.620838i −0.0130842 0.0742043i
\(71\) 4.65136 + 3.90295i 0.552015 + 0.463195i 0.875623 0.482996i \(-0.160451\pi\)
−0.323608 + 0.946191i \(0.604896\pi\)
\(72\) −0.766044 + 0.642788i −0.0902792 + 0.0757532i
\(73\) −0.0569038 + 0.322718i −0.00666009 + 0.0377712i −0.987957 0.154731i \(-0.950549\pi\)
0.981297 + 0.192502i \(0.0616601\pi\)
\(74\) 6.47178 2.35554i 0.752329 0.273825i
\(75\) 3.59627 0.415261
\(76\) −4.21688 + 1.10359i −0.483709 + 0.126590i
\(77\) 1.00000 0.113961
\(78\) 3.64543 1.32683i 0.412764 0.150234i
\(79\) −2.80154 + 15.8883i −0.315198 + 1.78757i 0.255912 + 0.966700i \(0.417624\pi\)
−0.571109 + 0.820874i \(0.693487\pi\)
\(80\) 0.907604 0.761570i 0.101473 0.0851461i
\(81\) 0.766044 + 0.642788i 0.0851160 + 0.0714208i
\(82\) 1.56031 + 8.84894i 0.172307 + 0.977202i
\(83\) −5.78699 10.0234i −0.635205 1.10021i −0.986472 0.163931i \(-0.947582\pi\)
0.351267 0.936275i \(-0.385751\pi\)
\(84\) 0.266044 0.460802i 0.0290278 0.0502777i
\(85\) −1.29426 0.471073i −0.140383 0.0510951i
\(86\) 2.27972 + 0.829748i 0.245828 + 0.0894741i
\(87\) −2.01114 + 3.48340i −0.215617 + 0.373460i
\(88\) 0.939693 + 1.62760i 0.100172 + 0.173502i
\(89\) −0.618089 3.50535i −0.0655173 0.371567i −0.999884 0.0152532i \(-0.995145\pi\)
0.934366 0.356314i \(-0.115967\pi\)
\(90\) −0.907604 0.761570i −0.0956698 0.0802765i
\(91\) −1.58125 + 1.32683i −0.165760 + 0.139089i
\(92\) −1.16385 + 6.60051i −0.121340 + 0.688151i
\(93\) −1.84002 + 0.669713i −0.190801 + 0.0694460i
\(94\) −2.04189 −0.210605
\(95\) −2.15523 4.69318i −0.221122 0.481510i
\(96\) 1.00000 0.102062
\(97\) −5.52481 + 2.01087i −0.560960 + 0.204173i −0.606909 0.794771i \(-0.707591\pi\)
0.0459494 + 0.998944i \(0.485369\pi\)
\(98\) 1.16637 6.61484i 0.117822 0.668199i
\(99\) 1.43969 1.20805i 0.144695 0.121413i
\(100\) −2.75490 2.31164i −0.275490 0.231164i
\(101\) 2.19594 + 12.4538i 0.218504 + 1.23920i 0.874722 + 0.484626i \(0.161044\pi\)
−0.656218 + 0.754572i \(0.727845\pi\)
\(102\) −0.581252 1.00676i −0.0575525 0.0996839i
\(103\) −1.48158 + 2.56617i −0.145985 + 0.252853i −0.929740 0.368217i \(-0.879968\pi\)
0.783755 + 0.621070i \(0.213302\pi\)
\(104\) −3.64543 1.32683i −0.357464 0.130106i
\(105\) 0.592396 + 0.215615i 0.0578120 + 0.0210418i
\(106\) 6.48545 11.2331i 0.629923 1.09106i
\(107\) −9.55690 16.5530i −0.923901 1.60024i −0.793320 0.608805i \(-0.791649\pi\)
−0.130581 0.991438i \(-0.541684\pi\)
\(108\) −0.173648 0.984808i −0.0167093 0.0947632i
\(109\) −12.5719 10.5491i −1.20417 1.01042i −0.999501 0.0315888i \(-0.989943\pi\)
−0.204670 0.978831i \(-0.565612\pi\)
\(110\) −1.70574 + 1.43128i −0.162636 + 0.136468i
\(111\) −1.19594 + 6.78250i −0.113513 + 0.643766i
\(112\) −0.500000 + 0.181985i −0.0472456 + 0.0171960i
\(113\) −5.73648 −0.539643 −0.269821 0.962910i \(-0.586965\pi\)
−0.269821 + 0.962910i \(0.586965\pi\)
\(114\) 1.15270 4.20372i 0.107961 0.393715i
\(115\) −7.94087 −0.740490
\(116\) 3.77972 1.37570i 0.350938 0.127731i
\(117\) −0.673648 + 3.82045i −0.0622788 + 0.353201i
\(118\) 2.05303 1.72270i 0.188997 0.158587i
\(119\) 0.473841 + 0.397600i 0.0434369 + 0.0364479i
\(120\) 0.205737 + 1.16679i 0.0187811 + 0.106513i
\(121\) 3.73396 + 6.46740i 0.339451 + 0.587946i
\(122\) −5.67365 + 9.82705i −0.513668 + 0.889699i
\(123\) −8.44356 3.07321i −0.761330 0.277102i
\(124\) 1.84002 + 0.669713i 0.165239 + 0.0601420i
\(125\) 5.09240 8.82029i 0.455478 0.788911i
\(126\) 0.266044 + 0.460802i 0.0237011 + 0.0410515i
\(127\) −0.327696 1.85846i −0.0290783 0.164911i 0.966811 0.255494i \(-0.0822381\pi\)
−0.995889 + 0.0905828i \(0.971127\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) −1.85844 + 1.55942i −0.163627 + 0.137299i
\(130\) 0.798133 4.52644i 0.0700009 0.396995i
\(131\) −10.0569 + 3.66041i −0.878676 + 0.319812i −0.741675 0.670759i \(-0.765968\pi\)
−0.137001 + 0.990571i \(0.543746\pi\)
\(132\) −1.87939 −0.163579
\(133\) 0.188663 + 2.31164i 0.0163592 + 0.200444i
\(134\) 11.1702 0.964962
\(135\) 1.11334 0.405223i 0.0958211 0.0348760i
\(136\) −0.201867 + 1.14484i −0.0173099 + 0.0981695i
\(137\) −8.62314 + 7.23567i −0.736725 + 0.618185i −0.931956 0.362572i \(-0.881899\pi\)
0.195231 + 0.980757i \(0.437454\pi\)
\(138\) −5.13429 4.30818i −0.437059 0.366736i
\(139\) −2.11334 11.9854i −0.179251 1.01658i −0.933122 0.359561i \(-0.882926\pi\)
0.753870 0.657023i \(-0.228185\pi\)
\(140\) −0.315207 0.545955i −0.0266399 0.0461416i
\(141\) 1.02094 1.76833i 0.0859790 0.148920i
\(142\) 5.70574 + 2.07672i 0.478815 + 0.174274i
\(143\) 6.85117 + 2.49362i 0.572923 + 0.208527i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 2.38279 + 4.12711i 0.197880 + 0.342738i
\(146\) 0.0569038 + 0.322718i 0.00470939 + 0.0267083i
\(147\) 5.14543 + 4.31753i 0.424388 + 0.356104i
\(148\) 5.27584 4.42696i 0.433672 0.363894i
\(149\) −2.84002 + 16.1066i −0.232664 + 1.31950i 0.614815 + 0.788672i \(0.289231\pi\)
−0.847478 + 0.530830i \(0.821880\pi\)
\(150\) 3.37939 1.23000i 0.275926 0.100429i
\(151\) 20.5226 1.67010 0.835052 0.550170i \(-0.185437\pi\)
0.835052 + 0.550170i \(0.185437\pi\)
\(152\) −3.58512 + 2.47929i −0.290792 + 0.201097i
\(153\) 1.16250 0.0939829
\(154\) 0.939693 0.342020i 0.0757226 0.0275608i
\(155\) −0.402856 + 2.28471i −0.0323582 + 0.183512i
\(156\) 2.97178 2.49362i 0.237933 0.199649i
\(157\) −2.45084 2.05650i −0.195598 0.164126i 0.539729 0.841839i \(-0.318527\pi\)
−0.735327 + 0.677713i \(0.762971\pi\)
\(158\) 2.80154 + 15.8883i 0.222878 + 1.26401i
\(159\) 6.48545 + 11.2331i 0.514330 + 0.890845i
\(160\) 0.592396 1.02606i 0.0468330 0.0811172i
\(161\) 3.35117 + 1.21972i 0.264109 + 0.0961278i
\(162\) 0.939693 + 0.342020i 0.0738292 + 0.0268716i
\(163\) 12.0039 20.7913i 0.940216 1.62850i 0.175157 0.984540i \(-0.443957\pi\)
0.765058 0.643961i \(-0.222710\pi\)
\(164\) 4.49273 + 7.78163i 0.350823 + 0.607643i
\(165\) −0.386659 2.19285i −0.0301014 0.170713i
\(166\) −8.86618 7.43961i −0.688149 0.577426i
\(167\) 2.80406 2.35289i 0.216985 0.182072i −0.527816 0.849359i \(-0.676989\pi\)
0.744801 + 0.667287i \(0.232544\pi\)
\(168\) 0.0923963 0.524005i 0.00712853 0.0404279i
\(169\) −1.92602 + 0.701015i −0.148156 + 0.0539242i
\(170\) −1.37733 −0.105636
\(171\) 3.06418 + 3.10013i 0.234324 + 0.237073i
\(172\) 2.42602 0.184982
\(173\) 5.01114 1.82391i 0.380990 0.138669i −0.144424 0.989516i \(-0.546133\pi\)
0.525414 + 0.850847i \(0.323911\pi\)
\(174\) −0.698463 + 3.96118i −0.0529504 + 0.300296i
\(175\) −1.46585 + 1.23000i −0.110808 + 0.0929789i
\(176\) 1.43969 + 1.20805i 0.108521 + 0.0910599i
\(177\) 0.465385 + 2.63933i 0.0349805 + 0.198384i
\(178\) −1.77972 3.08256i −0.133395 0.231047i
\(179\) 12.6284 21.8730i 0.943888 1.63486i 0.185924 0.982564i \(-0.440472\pi\)
0.757963 0.652297i \(-0.226195\pi\)
\(180\) −1.11334 0.405223i −0.0829835 0.0302035i
\(181\) 16.2626 + 5.91912i 1.20879 + 0.439965i 0.866285 0.499550i \(-0.166501\pi\)
0.342508 + 0.939515i \(0.388724\pi\)
\(182\) −1.03209 + 1.78763i −0.0765035 + 0.132508i
\(183\) −5.67365 9.82705i −0.419408 0.726436i
\(184\) 1.16385 + 6.60051i 0.0858000 + 0.486596i
\(185\) 6.25078 + 5.24503i 0.459567 + 0.385622i
\(186\) −1.50000 + 1.25865i −0.109985 + 0.0922887i
\(187\) 0.379385 2.15160i 0.0277434 0.157341i
\(188\) −1.91875 + 0.698367i −0.139939 + 0.0509337i
\(189\) −0.532089 −0.0387038
\(190\) −3.63041 3.67301i −0.263378 0.266468i
\(191\) −15.1780 −1.09824 −0.549120 0.835743i \(-0.685037\pi\)
−0.549120 + 0.835743i \(0.685037\pi\)
\(192\) 0.939693 0.342020i 0.0678165 0.0246832i
\(193\) 2.25877 12.8101i 0.162590 0.922093i −0.788925 0.614490i \(-0.789362\pi\)
0.951515 0.307603i \(-0.0995269\pi\)
\(194\) −4.50387 + 3.77920i −0.323359 + 0.271330i
\(195\) 3.52094 + 2.95442i 0.252140 + 0.211571i
\(196\) −1.16637 6.61484i −0.0833124 0.472488i
\(197\) 4.47431 + 7.74973i 0.318781 + 0.552145i 0.980234 0.197842i \(-0.0633931\pi\)
−0.661453 + 0.749987i \(0.730060\pi\)
\(198\) 0.939693 1.62760i 0.0667810 0.115668i
\(199\) 4.23308 + 1.54071i 0.300075 + 0.109218i 0.487670 0.873028i \(-0.337847\pi\)
−0.187595 + 0.982246i \(0.560069\pi\)
\(200\) −3.37939 1.23000i −0.238959 0.0869738i
\(201\) −5.58512 + 9.67372i −0.393944 + 0.682331i
\(202\) 6.32295 + 10.9517i 0.444881 + 0.770557i
\(203\) −0.371644 2.10770i −0.0260843 0.147932i
\(204\) −0.890530 0.747243i −0.0623495 0.0523175i
\(205\) −8.15523 + 6.84305i −0.569586 + 0.477939i
\(206\) −0.514548 + 2.91815i −0.0358503 + 0.203317i
\(207\) 6.29813 2.29233i 0.437751 0.159328i
\(208\) −3.87939 −0.268987
\(209\) 6.73783 4.65955i 0.466065 0.322308i
\(210\) 0.630415 0.0435028
\(211\) 6.01754 2.19021i 0.414265 0.150780i −0.126475 0.991970i \(-0.540366\pi\)
0.540740 + 0.841190i \(0.318144\pi\)
\(212\) 2.25237 12.7738i 0.154694 0.877311i
\(213\) −4.65136 + 3.90295i −0.318706 + 0.267426i
\(214\) −14.6420 12.2861i −1.00091 0.839862i
\(215\) 0.499123 + 2.83067i 0.0340399 + 0.193050i
\(216\) −0.500000 0.866025i −0.0340207 0.0589256i
\(217\) 0.520945 0.902302i 0.0353640 0.0612523i
\(218\) −15.4217 5.61305i −1.04449 0.380164i
\(219\) −0.307934 0.112079i −0.0208082 0.00757357i
\(220\) −1.11334 + 1.92836i −0.0750614 + 0.130010i
\(221\) 2.25490 + 3.90560i 0.151681 + 0.262719i
\(222\) 1.19594 + 6.78250i 0.0802660 + 0.455211i
\(223\) 2.48886 + 2.08840i 0.166666 + 0.139849i 0.722306 0.691574i \(-0.243082\pi\)
−0.555640 + 0.831423i \(0.687527\pi\)
\(224\) −0.407604 + 0.342020i −0.0272342 + 0.0228522i
\(225\) −0.624485 + 3.54163i −0.0416323 + 0.236109i
\(226\) −5.39053 + 1.96199i −0.358573 + 0.130510i
\(227\) −11.7023 −0.776711 −0.388356 0.921510i \(-0.626957\pi\)
−0.388356 + 0.921510i \(0.626957\pi\)
\(228\) −0.354570 4.34445i −0.0234820 0.287718i
\(229\) −22.9067 −1.51372 −0.756860 0.653578i \(-0.773267\pi\)
−0.756860 + 0.653578i \(0.773267\pi\)
\(230\) −7.46198 + 2.71594i −0.492028 + 0.179084i
\(231\) −0.173648 + 0.984808i −0.0114252 + 0.0647956i
\(232\) 3.08125 2.58548i 0.202294 0.169745i
\(233\) −2.45084 2.05650i −0.160560 0.134726i 0.558968 0.829189i \(-0.311197\pi\)
−0.719528 + 0.694463i \(0.755642\pi\)
\(234\) 0.673648 + 3.82045i 0.0440378 + 0.249751i
\(235\) −1.20961 2.09510i −0.0789061 0.136669i
\(236\) 1.34002 2.32099i 0.0872280 0.151083i
\(237\) −15.1604 5.51795i −0.984777 0.358429i
\(238\) 0.581252 + 0.211558i 0.0376770 + 0.0137133i
\(239\) −3.08647 + 5.34592i −0.199647 + 0.345799i −0.948414 0.317035i \(-0.897313\pi\)
0.748767 + 0.662833i \(0.230646\pi\)
\(240\) 0.592396 + 1.02606i 0.0382390 + 0.0662319i
\(241\) 0.266922 + 1.51379i 0.0171939 + 0.0975117i 0.992197 0.124679i \(-0.0397902\pi\)
−0.975003 + 0.222191i \(0.928679\pi\)
\(242\) 5.72075 + 4.80028i 0.367744 + 0.308574i
\(243\) −0.766044 + 0.642788i −0.0491418 + 0.0412348i
\(244\) −1.97044 + 11.1749i −0.126144 + 0.715400i
\(245\) 7.47818 2.72183i 0.477763 0.173892i
\(246\) −8.98545 −0.572892
\(247\) −4.47178 + 16.3079i −0.284533 + 1.03764i
\(248\) 1.95811 0.124340
\(249\) 10.8760 3.95853i 0.689237 0.250862i
\(250\) 1.76857 10.0301i 0.111854 0.634357i
\(251\) 13.7456 11.5339i 0.867612 0.728013i −0.0959815 0.995383i \(-0.530599\pi\)
0.963594 + 0.267370i \(0.0861545\pi\)
\(252\) 0.407604 + 0.342020i 0.0256766 + 0.0215452i
\(253\) −2.18732 12.4049i −0.137516 0.779889i
\(254\) −0.943563 1.63430i −0.0592044 0.102545i
\(255\) 0.688663 1.19280i 0.0431257 0.0746960i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −27.6386 10.0596i −1.72405 0.627503i −0.725871 0.687831i \(-0.758563\pi\)
−0.998179 + 0.0603277i \(0.980785\pi\)
\(258\) −1.21301 + 2.10100i −0.0755188 + 0.130802i
\(259\) −1.83228 3.17360i −0.113852 0.197198i
\(260\) −0.798133 4.52644i −0.0494981 0.280718i
\(261\) −3.08125 2.58548i −0.190725 0.160037i
\(262\) −8.19846 + 6.87933i −0.506503 + 0.425006i
\(263\) 1.85504 10.5204i 0.114386 0.648718i −0.872666 0.488318i \(-0.837611\pi\)
0.987052 0.160400i \(-0.0512783\pi\)
\(264\) −1.76604 + 0.642788i −0.108693 + 0.0395608i
\(265\) 15.3678 0.944038
\(266\) 0.967911 + 2.10770i 0.0593464 + 0.129231i
\(267\) 3.55943 0.217834
\(268\) 10.4966 3.82045i 0.641182 0.233371i
\(269\) −3.57310 + 20.2641i −0.217856 + 1.23552i 0.658026 + 0.752995i \(0.271392\pi\)
−0.875882 + 0.482526i \(0.839719\pi\)
\(270\) 0.907604 0.761570i 0.0552350 0.0463477i
\(271\) 1.43763 + 1.20632i 0.0873300 + 0.0732786i 0.685408 0.728160i \(-0.259624\pi\)
−0.598078 + 0.801438i \(0.704069\pi\)
\(272\) 0.201867 + 1.14484i 0.0122400 + 0.0694163i
\(273\) −1.03209 1.78763i −0.0624649 0.108192i
\(274\) −5.62836 + 9.74860i −0.340021 + 0.588934i
\(275\) 6.35117 + 2.31164i 0.382990 + 0.139397i
\(276\) −6.29813 2.29233i −0.379103 0.137982i
\(277\) −2.43629 + 4.21978i −0.146382 + 0.253542i −0.929888 0.367843i \(-0.880096\pi\)
0.783505 + 0.621385i \(0.213430\pi\)
\(278\) −6.08512 10.5397i −0.364961 0.632132i
\(279\) −0.340022 1.92836i −0.0203566 0.115448i
\(280\) −0.482926 0.405223i −0.0288603 0.0242167i
\(281\) −0.309278 + 0.259515i −0.0184500 + 0.0154814i −0.651966 0.758248i \(-0.726056\pi\)
0.633516 + 0.773730i \(0.281611\pi\)
\(282\) 0.354570 2.01087i 0.0211144 0.119745i
\(283\) −16.5287 + 6.01595i −0.982528 + 0.357611i −0.782823 0.622245i \(-0.786221\pi\)
−0.199706 + 0.979856i \(0.563999\pi\)
\(284\) 6.07192 0.360302
\(285\) 4.99613 1.30753i 0.295945 0.0774511i
\(286\) 7.29086 0.431118
\(287\) 4.49273 1.63522i 0.265197 0.0965239i
\(288\) −0.173648 + 0.984808i −0.0102323 + 0.0580304i
\(289\) −11.9875 + 10.0587i −0.705148 + 0.591689i
\(290\) 3.65064 + 3.06325i 0.214373 + 0.179880i
\(291\) −1.02094 5.79006i −0.0598488 0.339420i
\(292\) 0.163848 + 0.283793i 0.00958848 + 0.0166077i
\(293\) 6.58765 11.4101i 0.384855 0.666588i −0.606894 0.794782i \(-0.707585\pi\)
0.991749 + 0.128195i \(0.0409183\pi\)
\(294\) 6.31180 + 2.29731i 0.368112 + 0.133982i
\(295\) 2.98380 + 1.08602i 0.173724 + 0.0632303i
\(296\) 3.44356 5.96443i 0.200153 0.346675i
\(297\) 0.939693 + 1.62760i 0.0545265 + 0.0944427i
\(298\) 2.84002 + 16.1066i 0.164518 + 0.933028i
\(299\) 19.9179 + 16.7131i 1.15188 + 0.966542i
\(300\) 2.75490 2.31164i 0.159054 0.133462i
\(301\) 0.224155 1.27125i 0.0129201 0.0732735i
\(302\) 19.2849 7.01914i 1.10972 0.403906i
\(303\) −12.6459 −0.726488
\(304\) −2.52094 + 3.55596i −0.144586 + 0.203948i
\(305\) −13.4442 −0.769812
\(306\) 1.09240 0.397600i 0.0624481 0.0227293i
\(307\) 2.93494 16.6449i 0.167506 0.949975i −0.778937 0.627103i \(-0.784241\pi\)
0.946443 0.322872i \(-0.104648\pi\)
\(308\) 0.766044 0.642788i 0.0436494 0.0366262i
\(309\) −2.26991 1.90468i −0.129131 0.108354i
\(310\) 0.402856 + 2.28471i 0.0228807 + 0.129763i
\(311\) 1.19072 + 2.06239i 0.0675197 + 0.116947i 0.897809 0.440385i \(-0.145158\pi\)
−0.830289 + 0.557333i \(0.811825\pi\)
\(312\) 1.93969 3.35965i 0.109813 0.190203i
\(313\) 28.0621 + 10.2138i 1.58616 + 0.577317i 0.976533 0.215368i \(-0.0690951\pi\)
0.609632 + 0.792685i \(0.291317\pi\)
\(314\) −3.00640 1.09424i −0.169661 0.0617515i
\(315\) −0.315207 + 0.545955i −0.0177599 + 0.0307611i
\(316\) 8.06670 + 13.9719i 0.453788 + 0.785983i
\(317\) −1.21941 6.91560i −0.0684888 0.388419i −0.999713 0.0239714i \(-0.992369\pi\)
0.931224 0.364448i \(-0.118742\pi\)
\(318\) 9.93629 + 8.33754i 0.557199 + 0.467546i
\(319\) −5.79086 + 4.85911i −0.324226 + 0.272058i
\(320\) 0.205737 1.16679i 0.0115011 0.0652257i
\(321\) 17.9611 6.53731i 1.00249 0.364877i
\(322\) 3.56624 0.198739
\(323\) 5.04529 + 0.471073i 0.280728 + 0.0262112i
\(324\) 1.00000 0.0555556
\(325\) −13.1099 + 4.77163i −0.727208 + 0.264682i
\(326\) 4.16890 23.6430i 0.230894 1.30947i
\(327\) 12.5719 10.5491i 0.695229 0.583366i
\(328\) 6.88326 + 5.77574i 0.380064 + 0.318912i
\(329\) 0.188663 + 1.06996i 0.0104013 + 0.0589888i
\(330\) −1.11334 1.92836i −0.0612874 0.106153i
\(331\) −13.5993 + 23.5546i −0.747483 + 1.29468i 0.201543 + 0.979480i \(0.435404\pi\)
−0.949026 + 0.315199i \(0.897929\pi\)
\(332\) −10.8760 3.95853i −0.596897 0.217253i
\(333\) −6.47178 2.35554i −0.354651 0.129083i
\(334\) 1.83022 3.17004i 0.100145 0.173457i
\(335\) 6.61721 + 11.4613i 0.361537 + 0.626200i
\(336\) −0.0923963 0.524005i −0.00504063 0.0285868i
\(337\) −8.59286 7.21027i −0.468083 0.392768i 0.378012 0.925801i \(-0.376608\pi\)
−0.846095 + 0.533032i \(0.821052\pi\)
\(338\) −1.57011 + 1.31748i −0.0854026 + 0.0716613i
\(339\) 0.996130 5.64933i 0.0541023 0.306830i
\(340\) −1.29426 + 0.471073i −0.0701913 + 0.0255475i
\(341\) −3.68004 −0.199286
\(342\) 3.93969 + 1.86516i 0.213034 + 0.100856i
\(343\) −7.29860 −0.394087
\(344\) 2.27972 0.829748i 0.122914 0.0447370i
\(345\) 1.37892 7.82023i 0.0742385 0.421027i
\(346\) 4.08512 3.42782i 0.219618 0.184281i
\(347\) 1.48293 + 1.24432i 0.0796076 + 0.0667987i 0.681723 0.731610i \(-0.261231\pi\)
−0.602115 + 0.798409i \(0.705675\pi\)
\(348\) 0.698463 + 3.96118i 0.0374416 + 0.212342i
\(349\) −7.19846 12.4681i −0.385325 0.667402i 0.606489 0.795092i \(-0.292577\pi\)
−0.991814 + 0.127689i \(0.959244\pi\)
\(350\) −0.956767 + 1.65717i −0.0511413 + 0.0885794i
\(351\) −3.64543 1.32683i −0.194579 0.0708208i
\(352\) 1.76604 + 0.642788i 0.0941305 + 0.0342607i
\(353\) −7.86184 + 13.6171i −0.418444 + 0.724766i −0.995783 0.0917384i \(-0.970758\pi\)
0.577339 + 0.816504i \(0.304091\pi\)
\(354\) 1.34002 + 2.32099i 0.0712214 + 0.123359i
\(355\) 1.24922 + 7.08467i 0.0663016 + 0.376015i
\(356\) −2.72668 2.28796i −0.144514 0.121262i
\(357\) −0.473841 + 0.397600i −0.0250783 + 0.0210432i
\(358\) 4.38578 24.8730i 0.231796 1.31458i
\(359\) −14.5817 + 5.30731i −0.769594 + 0.280109i −0.696826 0.717240i \(-0.745405\pi\)
−0.0727672 + 0.997349i \(0.523183\pi\)
\(360\) −1.18479 −0.0624440
\(361\) 12.0424 + 14.6963i 0.633808 + 0.773490i
\(362\) 17.3063 0.909601
\(363\) −7.01754 + 2.55418i −0.368325 + 0.134059i
\(364\) −0.358441 + 2.03282i −0.0187874 + 0.106549i
\(365\) −0.297418 + 0.249563i −0.0155676 + 0.0130627i
\(366\) −8.69253 7.29390i −0.454366 0.381258i
\(367\) −2.73396 15.5050i −0.142711 0.809356i −0.969176 0.246368i \(-0.920763\pi\)
0.826465 0.562988i \(-0.190348\pi\)
\(368\) 3.35117 + 5.80439i 0.174692 + 0.302575i
\(369\) 4.49273 7.78163i 0.233882 0.405095i
\(370\) 7.66772 + 2.79082i 0.398626 + 0.145088i
\(371\) −6.48545 2.36051i −0.336708 0.122552i
\(372\) −0.979055 + 1.69577i −0.0507617 + 0.0879218i
\(373\) 14.8143 + 25.6592i 0.767057 + 1.32858i 0.939152 + 0.343501i \(0.111613\pi\)
−0.172095 + 0.985080i \(0.555054\pi\)
\(374\) −0.379385 2.15160i −0.0196175 0.111257i
\(375\) 7.80200 + 6.54666i 0.402894 + 0.338068i
\(376\) −1.56418 + 1.31250i −0.0806663 + 0.0676871i
\(377\) 2.70961 15.3669i 0.139552 0.791438i
\(378\) −0.500000 + 0.181985i −0.0257172 + 0.00936030i
\(379\) 4.72462 0.242688 0.121344 0.992611i \(-0.461280\pi\)
0.121344 + 0.992611i \(0.461280\pi\)
\(380\) −4.66772 2.20983i −0.239449 0.113362i
\(381\) 1.88713 0.0966804
\(382\) −14.2626 + 5.19118i −0.729740 + 0.265604i
\(383\) −0.910130 + 5.16160i −0.0465055 + 0.263746i −0.999191 0.0402115i \(-0.987197\pi\)
0.952686 + 0.303957i \(0.0983079\pi\)
\(384\) 0.766044 0.642788i 0.0390920 0.0328021i
\(385\) 0.907604 + 0.761570i 0.0462558 + 0.0388132i
\(386\) −2.25877 12.8101i −0.114968 0.652018i
\(387\) −1.21301 2.10100i −0.0616608 0.106800i
\(388\) −2.93969 + 5.09170i −0.149240 + 0.258492i
\(389\) 14.1677 + 5.15663i 0.718332 + 0.261451i 0.675217 0.737619i \(-0.264050\pi\)
0.0431144 + 0.999070i \(0.486272\pi\)
\(390\) 4.31908 + 1.57202i 0.218705 + 0.0796021i
\(391\) 3.89574 6.74763i 0.197016 0.341242i
\(392\) −3.35844 5.81699i −0.169627 0.293802i
\(393\) −1.85844 10.5397i −0.0937459 0.531660i
\(394\) 6.85504 + 5.75206i 0.345352 + 0.289785i
\(395\) −14.6427 + 12.2867i −0.736756 + 0.618212i
\(396\) 0.326352 1.85083i 0.0163998 0.0930079i
\(397\) 13.6677 4.97464i 0.685963 0.249670i 0.0245573 0.999698i \(-0.492182\pi\)
0.661406 + 0.750028i \(0.269960\pi\)
\(398\) 4.50475 0.225803
\(399\) −2.30928 0.215615i −0.115608 0.0107942i
\(400\) −3.59627 −0.179813
\(401\) −2.68257 + 0.976376i −0.133961 + 0.0487579i −0.408131 0.912923i \(-0.633819\pi\)
0.274170 + 0.961681i \(0.411597\pi\)
\(402\) −1.93969 + 11.0005i −0.0967431 + 0.548657i
\(403\) 5.81908 4.88279i 0.289869 0.243229i
\(404\) 9.68732 + 8.12863i 0.481962 + 0.404414i
\(405\) 0.205737 + 1.16679i 0.0102232 + 0.0579784i
\(406\) −1.07011 1.85348i −0.0531085 0.0919867i
\(407\) −6.47178 + 11.2095i −0.320794 + 0.555632i
\(408\) −1.09240 0.397600i −0.0540817 0.0196841i
\(409\) −32.1634 11.7065i −1.59038 0.578851i −0.612952 0.790120i \(-0.710018\pi\)
−0.977428 + 0.211269i \(0.932240\pi\)
\(410\) −5.32295 + 9.21962i −0.262882 + 0.455324i
\(411\) −5.62836 9.74860i −0.277626 0.480863i
\(412\) 0.514548 + 2.91815i 0.0253500 + 0.143767i
\(413\) −1.09240 0.916629i −0.0537533 0.0451044i
\(414\) 5.13429 4.30818i 0.252336 0.211735i
\(415\) 2.38120 13.5044i 0.116888 0.662907i
\(416\) −3.64543 + 1.32683i −0.178732 + 0.0650531i
\(417\) 12.1702 0.595979
\(418\) 4.73783 6.68302i 0.231735 0.326877i
\(419\) −7.91891 −0.386864 −0.193432 0.981114i \(-0.561962\pi\)
−0.193432 + 0.981114i \(0.561962\pi\)
\(420\) 0.592396 0.215615i 0.0289060 0.0105209i
\(421\) 2.81480 15.9635i 0.137185 0.778014i −0.836129 0.548534i \(-0.815186\pi\)
0.973313 0.229480i \(-0.0737026\pi\)
\(422\) 4.90554 4.11624i 0.238798 0.200375i
\(423\) 1.56418 + 1.31250i 0.0760529 + 0.0638160i
\(424\) −2.25237 12.7738i −0.109385 0.620353i
\(425\) 2.09034 + 3.62057i 0.101396 + 0.175623i
\(426\) −3.03596 + 5.25844i −0.147093 + 0.254772i
\(427\) 5.67365 + 2.06504i 0.274567 + 0.0999342i
\(428\) −17.9611 6.53731i −0.868183 0.315993i
\(429\) −3.64543 + 6.31407i −0.176003 + 0.304846i
\(430\) 1.43717 + 2.48925i 0.0693063 + 0.120042i
\(431\) 4.41622 + 25.0456i 0.212722 + 1.20641i 0.884816 + 0.465940i \(0.154284\pi\)
−0.672094 + 0.740466i \(0.734605\pi\)
\(432\) −0.766044 0.642788i −0.0368563 0.0309261i
\(433\) 9.07604 7.61570i 0.436167 0.365987i −0.398106 0.917339i \(-0.630332\pi\)
0.834273 + 0.551352i \(0.185888\pi\)
\(434\) 0.180922 1.02606i 0.00868454 0.0492525i
\(435\) −4.47818 + 1.62992i −0.214712 + 0.0781489i
\(436\) −16.4115 −0.785967
\(437\) 28.2629 7.39663i 1.35200 0.353829i
\(438\) −0.327696 −0.0156579
\(439\) −24.3002 + 8.84457i −1.15979 + 0.422128i −0.849022 0.528358i \(-0.822808\pi\)
−0.310766 + 0.950486i \(0.600586\pi\)
\(440\) −0.386659 + 2.19285i −0.0184333 + 0.104540i
\(441\) −5.14543 + 4.31753i −0.245020 + 0.205597i
\(442\) 3.45471 + 2.89884i 0.164324 + 0.137884i
\(443\) 0.160282 + 0.909006i 0.00761524 + 0.0431882i 0.988379 0.152012i \(-0.0485753\pi\)
−0.980763 + 0.195201i \(0.937464\pi\)
\(444\) 3.44356 + 5.96443i 0.163424 + 0.283059i
\(445\) 2.10859 3.65219i 0.0999569 0.173130i
\(446\) 3.05303 + 1.11121i 0.144565 + 0.0526175i
\(447\) −15.3687 5.59375i −0.726915 0.264575i
\(448\) −0.266044 + 0.460802i −0.0125694 + 0.0217709i
\(449\) −4.67230 8.09267i −0.220500 0.381917i 0.734460 0.678652i \(-0.237435\pi\)
−0.954960 + 0.296735i \(0.904102\pi\)
\(450\) 0.624485 + 3.54163i 0.0294385 + 0.166954i
\(451\) −12.9363 10.8548i −0.609146 0.511134i
\(452\) −4.39440 + 3.68734i −0.206695 + 0.173438i
\(453\) −3.56371 + 20.2108i −0.167438 + 0.949587i
\(454\) −10.9966 + 4.00243i −0.516096 + 0.187844i
\(455\) −2.44562 −0.114653
\(456\) −1.81908 3.96118i −0.0851861 0.185499i
\(457\) 30.9009 1.44548 0.722740 0.691120i \(-0.242882\pi\)
0.722740 + 0.691120i \(0.242882\pi\)
\(458\) −21.5253 + 7.83456i −1.00581 + 0.366085i
\(459\) −0.201867 + 1.14484i −0.00942233 + 0.0534367i
\(460\) −6.08306 + 5.10430i −0.283624 + 0.237989i
\(461\) −22.7422 19.0829i −1.05921 0.888781i −0.0651765 0.997874i \(-0.520761\pi\)
−0.994032 + 0.109093i \(0.965205\pi\)
\(462\) 0.173648 + 0.984808i 0.00807884 + 0.0458174i
\(463\) 5.91534 + 10.2457i 0.274909 + 0.476157i 0.970112 0.242657i \(-0.0780188\pi\)
−0.695203 + 0.718814i \(0.744685\pi\)
\(464\) 2.01114 3.48340i 0.0933650 0.161713i
\(465\) −2.18004 0.793471i −0.101097 0.0367964i
\(466\) −3.00640 1.09424i −0.139269 0.0506896i
\(467\) −19.1591 + 33.1845i −0.886577 + 1.53560i −0.0426825 + 0.999089i \(0.513590\pi\)
−0.843895 + 0.536508i \(0.819743\pi\)
\(468\) 1.93969 + 3.35965i 0.0896623 + 0.155300i
\(469\) −1.03209 5.85327i −0.0476574 0.270279i
\(470\) −1.85323 1.55504i −0.0854829 0.0717287i
\(471\) 2.45084 2.05650i 0.112929 0.0947584i
\(472\) 0.465385 2.63933i 0.0214211 0.121485i
\(473\) −4.28446 + 1.55942i −0.197000 + 0.0717021i
\(474\) −16.1334 −0.741032
\(475\) −4.14543 + 15.1177i −0.190205 + 0.693648i
\(476\) 0.618555 0.0283514
\(477\) −12.1887 + 4.43631i −0.558081 + 0.203125i
\(478\) −1.07192 + 6.07915i −0.0490284 + 0.278054i
\(479\) 28.5612 23.9657i 1.30500 1.09502i 0.315738 0.948846i \(-0.397748\pi\)
0.989259 0.146176i \(-0.0466964\pi\)
\(480\) 0.907604 + 0.761570i 0.0414263 + 0.0347608i
\(481\) −4.63950 26.3119i −0.211543 1.19972i
\(482\) 0.768571 + 1.33120i 0.0350074 + 0.0606347i
\(483\) −1.78312 + 3.08845i −0.0811347 + 0.140529i
\(484\) 7.01754 + 2.55418i 0.318979 + 0.116099i
\(485\) −6.54576 2.38246i −0.297228 0.108182i
\(486\) −0.500000 + 0.866025i −0.0226805 + 0.0392837i
\(487\) −16.4893 28.5603i −0.747203 1.29419i −0.949159 0.314798i \(-0.898063\pi\)
0.201956 0.979395i \(-0.435270\pi\)
\(488\) 1.97044 + 11.1749i 0.0891975 + 0.505864i
\(489\) 18.3910 + 15.4319i 0.831670 + 0.697854i
\(490\) 6.09627 5.11538i 0.275401 0.231089i
\(491\) 3.07027 17.4124i 0.138559 0.785809i −0.833755 0.552134i \(-0.813814\pi\)
0.972315 0.233675i \(-0.0750752\pi\)
\(492\) −8.44356 + 3.07321i −0.380665 + 0.138551i
\(493\) −4.67593 −0.210593
\(494\) 1.37551 + 16.8538i 0.0618873 + 0.758289i
\(495\) 2.22668 0.100082
\(496\) 1.84002 0.669713i 0.0826194 0.0300710i
\(497\) 0.561023 3.18172i 0.0251653 0.142720i
\(498\) 8.86618 7.43961i 0.397303 0.333377i
\(499\) 20.7781 + 17.4349i 0.930157 + 0.780494i 0.975846 0.218462i \(-0.0701039\pi\)
−0.0456890 + 0.998956i \(0.514548\pi\)
\(500\) −1.76857 10.0301i −0.0790929 0.448558i
\(501\) 1.83022 + 3.17004i 0.0817683 + 0.141627i
\(502\) 8.97178 15.5396i 0.400430 0.693565i
\(503\) −0.536837 0.195393i −0.0239364 0.00871212i 0.330024 0.943972i \(-0.392943\pi\)
−0.353961 + 0.935260i \(0.615165\pi\)
\(504\) 0.500000 + 0.181985i 0.0222718 + 0.00810626i
\(505\) −7.49138 + 12.9755i −0.333362 + 0.577400i
\(506\) −6.29813 10.9087i −0.279986 0.484950i
\(507\) −0.355914 2.01849i −0.0158067 0.0896443i
\(508\) −1.44562 1.21302i −0.0641391 0.0538191i
\(509\) 31.0638 26.0656i 1.37688 1.15534i 0.406526 0.913639i \(-0.366740\pi\)
0.970352 0.241698i \(-0.0777043\pi\)
\(510\) 0.239170 1.35640i 0.0105906 0.0600625i
\(511\) 0.163848 0.0596358i 0.00724821 0.00263813i
\(512\) −1.00000 −0.0441942
\(513\) −3.58512 + 2.47929i −0.158287 + 0.109463i
\(514\) −29.4124 −1.29733
\(515\) −3.29901 + 1.20074i −0.145372 + 0.0529110i
\(516\) −0.421274 + 2.38917i −0.0185456 + 0.105177i
\(517\) 2.93969 2.46669i 0.129288 0.108485i
\(518\) −2.80722 2.35554i −0.123342 0.103496i
\(519\) 0.926022 + 5.25173i 0.0406479 + 0.230525i
\(520\) −2.29813 3.98048i −0.100780 0.174556i
\(521\) −9.44996 + 16.3678i −0.414010 + 0.717087i −0.995324 0.0965927i \(-0.969206\pi\)
0.581314 + 0.813680i \(0.302539\pi\)
\(522\) −3.77972 1.37570i −0.165434 0.0602129i
\(523\) 4.45589 + 1.62181i 0.194842 + 0.0709168i 0.437598 0.899171i \(-0.355829\pi\)
−0.242756 + 0.970087i \(0.578051\pi\)
\(524\) −5.35117 + 9.26849i −0.233767 + 0.404896i
\(525\) −0.956767 1.65717i −0.0417567 0.0723248i
\(526\) −1.85504 10.5204i −0.0808835 0.458713i
\(527\) −1.74376 1.46318i −0.0759592 0.0637373i
\(528\) −1.43969 + 1.20805i −0.0626546 + 0.0525734i
\(529\) 3.80659 21.5882i 0.165504 0.938619i
\(530\) 14.4410 5.25611i 0.627279 0.228311i
\(531\) −2.68004 −0.116304
\(532\) 1.63041 + 1.64955i 0.0706875 + 0.0715169i
\(533\) 34.8580 1.50987
\(534\) 3.34477 1.21740i 0.144742 0.0526819i
\(535\) 3.93242 22.3019i 0.170013 0.964193i
\(536\) 8.55690 7.18009i 0.369602 0.310133i
\(537\) 19.3478 + 16.2347i 0.834918 + 0.700579i
\(538\) 3.57310 + 20.2641i 0.154047 + 0.873646i
\(539\) 6.31180 + 10.9324i 0.271869 + 0.470890i
\(540\) 0.592396 1.02606i 0.0254927 0.0441546i
\(541\) 26.6506 + 9.70004i 1.14580 + 0.417037i 0.844005 0.536335i \(-0.180192\pi\)
0.301796 + 0.953373i \(0.402414\pi\)
\(542\) 1.76352 + 0.641868i 0.0757496 + 0.0275706i
\(543\) −8.65317 + 14.9877i −0.371343 + 0.643185i
\(544\) 0.581252 + 1.00676i 0.0249210 + 0.0431644i
\(545\) −3.37645 19.1488i −0.144631 0.820244i
\(546\) −1.58125 1.32683i −0.0676713 0.0567830i
\(547\) −5.27063 + 4.42258i −0.225356 + 0.189096i −0.748474 0.663164i \(-0.769213\pi\)
0.523118 + 0.852260i \(0.324769\pi\)
\(548\) −1.95471 + 11.0857i −0.0835010 + 0.473557i
\(549\) 10.6630 3.88100i 0.455084 0.165637i
\(550\) 6.75877 0.288195
\(551\) −12.3250 12.4696i −0.525063 0.531224i
\(552\) −6.70233 −0.285270
\(553\) 8.06670 2.93604i 0.343031 0.124853i
\(554\) −0.846114 + 4.79855i −0.0359480 + 0.203871i
\(555\) −6.25078 + 5.24503i −0.265331 + 0.222639i
\(556\) −9.32295 7.82288i −0.395381 0.331764i
\(557\) −2.45929 13.9473i −0.104204 0.590968i −0.991535 0.129836i \(-0.958555\pi\)
0.887332 0.461131i \(-0.152556\pi\)
\(558\) −0.979055 1.69577i −0.0414467 0.0717878i
\(559\) 4.70574 8.15058i 0.199031 0.344733i
\(560\) −0.592396 0.215615i −0.0250333 0.00911138i
\(561\) 2.05303 + 0.747243i 0.0866791 + 0.0315486i
\(562\) −0.201867 + 0.349643i −0.00851523 + 0.0147488i
\(563\) 18.1275 + 31.3977i 0.763982 + 1.32326i 0.940783 + 0.339009i \(0.110092\pi\)
−0.176801 + 0.984247i \(0.556575\pi\)
\(564\) −0.354570 2.01087i −0.0149301 0.0846728i
\(565\) −5.20645 4.36873i −0.219037 0.183794i
\(566\) −13.4743 + 11.3063i −0.566367 + 0.475239i
\(567\) 0.0923963 0.524005i 0.00388028 0.0220062i
\(568\) 5.70574 2.07672i 0.239407 0.0871372i
\(569\) −30.2918 −1.26990 −0.634949 0.772554i \(-0.718979\pi\)
−0.634949 + 0.772554i \(0.718979\pi\)
\(570\) 4.24763 2.93745i 0.177913 0.123036i
\(571\) 3.39094 0.141906 0.0709532 0.997480i \(-0.477396\pi\)
0.0709532 + 0.997480i \(0.477396\pi\)
\(572\) 6.85117 2.49362i 0.286462 0.104264i
\(573\) 2.63563 14.9474i 0.110105 0.624436i
\(574\) 3.66250 3.07321i 0.152870 0.128273i
\(575\) 18.4643 + 15.4934i 0.770013 + 0.646117i
\(576\) 0.173648 + 0.984808i 0.00723534 + 0.0410337i
\(577\) 11.1514 + 19.3147i 0.464237 + 0.804082i 0.999167 0.0408143i \(-0.0129952\pi\)
−0.534930 + 0.844897i \(0.679662\pi\)
\(578\) −7.82429 + 13.5521i −0.325448 + 0.563692i
\(579\) 12.2233 + 4.44891i 0.507982 + 0.184890i
\(580\) 4.47818 + 1.62992i 0.185946 + 0.0676789i
\(581\) −3.07919 + 5.33332i −0.127746 + 0.221263i
\(582\) −2.93969 5.09170i −0.121854 0.211058i
\(583\) 4.23308 + 24.0070i 0.175316 + 0.994268i
\(584\) 0.251030 + 0.210639i 0.0103877 + 0.00871630i
\(585\) −3.52094 + 2.95442i −0.145573 + 0.122150i
\(586\) 2.28787 12.9751i 0.0945109 0.535998i
\(587\) 27.0164 9.83315i 1.11508 0.405858i 0.282228 0.959347i \(-0.408926\pi\)
0.832856 + 0.553490i \(0.186704\pi\)
\(588\) 6.71688 0.277000
\(589\) −0.694288 8.50692i −0.0286076 0.350522i
\(590\) 3.17530 0.130725
\(591\) −8.40895 + 3.06061i −0.345898 + 0.125897i
\(592\) 1.19594 6.78250i 0.0491527 0.278759i
\(593\) 9.02094 7.56947i 0.370446 0.310841i −0.438492 0.898735i \(-0.644487\pi\)
0.808938 + 0.587894i \(0.200043\pi\)
\(594\) 1.43969 + 1.20805i 0.0590713 + 0.0495667i
\(595\) 0.127260 + 0.721726i 0.00521714 + 0.0295879i
\(596\) 8.17752 + 14.1639i 0.334964 + 0.580175i
\(597\) −2.25237 + 3.90123i −0.0921835 + 0.159667i
\(598\) 24.4329 + 8.89284i 0.999135 + 0.363655i
\(599\) 20.3268 + 7.39836i 0.830531 + 0.302289i 0.722077 0.691813i \(-0.243188\pi\)
0.108454 + 0.994101i \(0.465410\pi\)
\(600\) 1.79813 3.11446i 0.0734085 0.127147i
\(601\) 13.0967 + 22.6842i 0.534227 + 0.925308i 0.999200 + 0.0399835i \(0.0127305\pi\)
−0.464973 + 0.885325i \(0.653936\pi\)
\(602\) −0.224155 1.27125i −0.00913589 0.0518122i
\(603\) −8.55690 7.18009i −0.348464 0.292396i
\(604\) 15.7212 13.1917i 0.639687 0.536761i
\(605\) −1.53643 + 8.71351i −0.0624646 + 0.354254i
\(606\) −11.8833 + 4.32515i −0.482724 + 0.175697i
\(607\) −13.2249 −0.536783 −0.268392 0.963310i \(-0.586492\pi\)
−0.268392 + 0.963310i \(0.586492\pi\)
\(608\) −1.15270 + 4.20372i −0.0467483 + 0.170483i
\(609\) 2.14022 0.0867259
\(610\) −12.6334 + 4.59818i −0.511512 + 0.186175i
\(611\) −1.37551 + 7.80093i −0.0556474 + 0.315592i
\(612\) 0.890530 0.747243i 0.0359975 0.0302055i
\(613\) −4.30722 3.61419i −0.173967 0.145976i 0.551647 0.834078i \(-0.314000\pi\)
−0.725614 + 0.688102i \(0.758444\pi\)
\(614\) −2.93494 16.6449i −0.118445 0.671733i
\(615\) −5.32295 9.21962i −0.214642 0.371771i
\(616\) 0.500000 0.866025i 0.0201456 0.0348932i
\(617\) −8.90673 3.24178i −0.358571 0.130509i 0.156452 0.987686i \(-0.449994\pi\)
−0.515023 + 0.857176i \(0.672217\pi\)
\(618\) −2.78446 1.01346i −0.112008 0.0407674i
\(619\) 7.37464 12.7732i 0.296412 0.513400i −0.678901 0.734230i \(-0.737543\pi\)
0.975312 + 0.220830i \(0.0708766\pi\)
\(620\) 1.15998 + 2.00914i 0.0465858 + 0.0806890i
\(621\) 1.16385 + 6.60051i 0.0467036 + 0.264869i
\(622\) 1.82429 + 1.53076i 0.0731475 + 0.0613780i
\(623\) −1.45084 + 1.21740i −0.0581266 + 0.0487740i
\(624\) 0.673648 3.82045i 0.0269675 0.152940i
\(625\) −5.55778 + 2.02287i −0.222311 + 0.0809147i
\(626\) 29.8631 1.19357
\(627\) 3.41875 + 7.44459i 0.136532 + 0.297308i
\(628\) −3.19934 −0.127668
\(629\) −7.52347 + 2.73832i −0.299980 + 0.109184i
\(630\) −0.109470 + 0.620838i −0.00436141 + 0.0247348i
\(631\) 19.1518 16.0703i 0.762422 0.639748i −0.176334 0.984330i \(-0.556424\pi\)
0.938756 + 0.344582i \(0.111979\pi\)
\(632\) 12.3589 + 10.3704i 0.491611 + 0.412511i
\(633\) 1.11200 + 6.30645i 0.0441979 + 0.250659i
\(634\) −3.51114 6.08148i −0.139445 0.241526i
\(635\) 1.11793 1.93631i 0.0443636 0.0768399i
\(636\) 12.1887 + 4.43631i 0.483312 + 0.175911i
\(637\) −24.4859 8.91215i −0.970167 0.353112i
\(638\) −3.77972 + 6.54666i −0.149640 + 0.259185i
\(639\) −3.03596 5.25844i −0.120101 0.208021i
\(640\) −0.205737 1.16679i −0.00813247 0.0461215i
\(641\) −33.4996 28.1095i −1.32315 1.11026i −0.985626 0.168943i \(-0.945965\pi\)
−0.337528 0.941315i \(-0.609591\pi\)
\(642\) 14.6420 12.2861i 0.577875 0.484894i
\(643\) −5.80912 + 32.9451i −0.229089 + 1.29923i 0.625622 + 0.780126i \(0.284845\pi\)
−0.854712 + 0.519103i \(0.826266\pi\)
\(644\) 3.35117 1.21972i 0.132054 0.0480639i
\(645\) −2.87433 −0.113177
\(646\) 4.90214 1.28293i 0.192872 0.0504761i
\(647\) −32.1266 −1.26303 −0.631514 0.775365i \(-0.717566\pi\)
−0.631514 + 0.775365i \(0.717566\pi\)
\(648\) 0.939693 0.342020i 0.0369146 0.0134358i
\(649\) −0.874638 + 4.96032i −0.0343325 + 0.194709i
\(650\) −10.6873 + 8.96773i −0.419191 + 0.351743i
\(651\) 0.798133 + 0.669713i 0.0312813 + 0.0262481i
\(652\) −4.16890 23.6430i −0.163267 0.925932i
\(653\) −1.44815 2.50827i −0.0566704 0.0981561i 0.836298 0.548275i \(-0.184715\pi\)
−0.892969 + 0.450118i \(0.851382\pi\)
\(654\) 8.20574 14.2128i 0.320870 0.555763i
\(655\) −11.9153 4.33683i −0.465571 0.169454i
\(656\) 8.44356 + 3.07321i 0.329666 + 0.119989i
\(657\) 0.163848 0.283793i 0.00639232 0.0110718i
\(658\) 0.543233 + 0.940908i 0.0211774 + 0.0366804i
\(659\) 3.15926 + 17.9171i 0.123067 + 0.697950i 0.982437 + 0.186595i \(0.0597452\pi\)
−0.859370 + 0.511355i \(0.829144\pi\)
\(660\) −1.70574 1.43128i −0.0663957 0.0557126i
\(661\) 16.4081 13.7680i 0.638200 0.535513i −0.265265 0.964176i \(-0.585459\pi\)
0.903465 + 0.428662i \(0.141015\pi\)
\(662\) −4.72297 + 26.7853i −0.183564 + 1.04104i
\(663\) −4.23783 + 1.54244i −0.164584 + 0.0599035i
\(664\) −11.5740 −0.449157
\(665\) −1.58924 + 2.24173i −0.0616281 + 0.0869305i
\(666\) −6.88713 −0.266871
\(667\) −25.3329 + 9.22043i −0.980894 + 0.357016i
\(668\) 0.635630 3.60483i 0.0245932 0.139475i
\(669\) −2.48886 + 2.08840i −0.0962247 + 0.0807421i
\(670\) 10.1382 + 8.50692i 0.391671 + 0.328651i
\(671\) −3.70321 21.0020i −0.142961 0.810771i
\(672\) −0.266044 0.460802i −0.0102629 0.0177758i
\(673\) −20.3457 + 35.2398i −0.784269 + 1.35839i 0.145165 + 0.989407i \(0.453629\pi\)
−0.929435 + 0.368987i \(0.879705\pi\)
\(674\) −10.5407 3.83650i −0.406013 0.147777i
\(675\) −3.37939 1.23000i −0.130073 0.0473426i
\(676\) −1.02481 + 1.77503i −0.0394160 + 0.0682704i
\(677\) 0.0680482 + 0.117863i 0.00261530 + 0.00452984i 0.867330 0.497733i \(-0.165834\pi\)
−0.864715 + 0.502263i \(0.832501\pi\)
\(678\) −0.996130 5.64933i −0.0382561 0.216961i
\(679\) 2.39646 + 2.01087i 0.0919677 + 0.0771700i
\(680\) −1.05509 + 0.885328i −0.0404610 + 0.0339508i
\(681\) 2.03209 11.5245i 0.0778698 0.441622i
\(682\) −3.45811 + 1.25865i −0.132418 + 0.0481962i
\(683\) −43.6459 −1.67006 −0.835032 0.550202i \(-0.814551\pi\)
−0.835032 + 0.550202i \(0.814551\pi\)
\(684\) 4.34002 + 0.405223i 0.165945 + 0.0154941i
\(685\) −13.3369 −0.509576
\(686\) −6.85844 + 2.49627i −0.261856 + 0.0953080i
\(687\) 3.97771 22.5587i 0.151759 0.860669i
\(688\) 1.85844 1.55942i 0.0708524 0.0594522i
\(689\) −38.5467 32.3445i −1.46851 1.23223i
\(690\) −1.37892 7.82023i −0.0524945 0.297711i
\(691\) −7.93376 13.7417i −0.301815 0.522758i 0.674732 0.738062i \(-0.264259\pi\)
−0.976547 + 0.215304i \(0.930926\pi\)
\(692\) 2.66637 4.61830i 0.101360 0.175561i
\(693\) −0.939693 0.342020i −0.0356960 0.0129923i
\(694\) 1.81908 + 0.662090i 0.0690513 + 0.0251326i
\(695\) 7.20961 12.4874i 0.273476 0.473674i
\(696\) 2.01114 + 3.48340i 0.0762322 + 0.132038i
\(697\) −1.81386 10.2869i −0.0687050 0.389645i
\(698\) −11.0287 9.25417i −0.417442 0.350275i
\(699\) 2.45084 2.05650i 0.0926992 0.0777838i
\(700\) −0.332282 + 1.88446i −0.0125591 + 0.0712260i
\(701\) −18.0513 + 6.57013i −0.681787 + 0.248150i −0.659615 0.751604i \(-0.729281\pi\)
−0.0221726 + 0.999754i \(0.507058\pi\)
\(702\) −3.87939 −0.146418
\(703\) −27.1332 12.8456i −1.02335 0.484481i
\(704\) 1.87939 0.0708320
\(705\) 2.27332 0.827420i 0.0856181 0.0311624i
\(706\) −2.73039 + 15.4848i −0.102760 + 0.582779i
\(707\) 5.15451 4.32515i 0.193855 0.162664i
\(708\) 2.05303 + 1.72270i 0.0771577 + 0.0647430i
\(709\) 5.73489 + 32.5242i 0.215378 + 1.22147i 0.880249 + 0.474512i \(0.157376\pi\)
−0.664871 + 0.746959i \(0.731513\pi\)
\(710\) 3.59698 + 6.23016i 0.134992 + 0.233814i
\(711\) 8.06670 13.9719i 0.302525 0.523989i
\(712\) −3.34477 1.21740i −0.125351 0.0456239i
\(713\) −12.3324 4.48864i −0.461854 0.168101i
\(714\) −0.309278 + 0.535685i −0.0115744 + 0.0200475i
\(715\) 4.31908 + 7.48086i 0.161524 + 0.279768i
\(716\) −4.38578 24.8730i −0.163904 0.929548i
\(717\) −4.72874 3.96788i −0.176598 0.148183i
\(718\) −11.8871 + 9.97448i −0.443624 + 0.372244i
\(719\) 6.84952 38.8455i 0.255444 1.44869i −0.539487 0.841994i \(-0.681382\pi\)
0.794931 0.606700i \(-0.207507\pi\)
\(720\) −1.11334 + 0.405223i −0.0414918 + 0.0151018i
\(721\) 1.57667 0.0587181
\(722\) 16.3425 + 9.69129i 0.608207 + 0.360672i
\(723\) −1.53714 −0.0571669
\(724\) 16.2626 5.91912i 0.604396 0.219982i
\(725\) 2.51186 14.2455i 0.0932881 0.529063i
\(726\) −5.72075 + 4.80028i −0.212317 + 0.178155i
\(727\) 13.9816 + 11.7319i 0.518548 + 0.435114i 0.864125 0.503277i \(-0.167872\pi\)
−0.345577 + 0.938390i \(0.612317\pi\)
\(728\) 0.358441 + 2.03282i 0.0132847 + 0.0753413i
\(729\) −0.500000 0.866025i −0.0185185 0.0320750i
\(730\) −0.194126 + 0.336236i −0.00718492 + 0.0124446i
\(731\) −2.65018 0.964586i −0.0980204 0.0356765i
\(732\) −10.6630 3.88100i −0.394115 0.143446i
\(733\) −7.69640 + 13.3306i −0.284273 + 0.492376i −0.972433 0.233184i \(-0.925086\pi\)
0.688160 + 0.725559i \(0.258419\pi\)
\(734\) −7.87211 13.6349i −0.290565 0.503273i
\(735\) 1.38191 + 7.83721i 0.0509726 + 0.289080i
\(736\) 5.13429 + 4.30818i 0.189252 + 0.158802i
\(737\) −16.0817 + 13.4942i −0.592378 + 0.497064i
\(738\) 1.56031 8.84894i 0.0574357 0.325734i
\(739\) −14.2618 + 5.19086i −0.524627 + 0.190949i −0.590738 0.806864i \(-0.701163\pi\)
0.0661104 + 0.997812i \(0.478941\pi\)
\(740\) 8.15982 0.299961
\(741\) −15.2836 7.23567i −0.561457 0.265809i
\(742\) −6.90167 −0.253368
\(743\) 9.27156 3.37457i 0.340141 0.123801i −0.166302 0.986075i \(-0.553183\pi\)
0.506442 + 0.862274i \(0.330960\pi\)
\(744\) −0.340022 + 1.92836i −0.0124658 + 0.0706972i
\(745\) −14.8439 + 12.4555i −0.543838 + 0.456334i
\(746\) 22.6969 + 19.0449i 0.830991 + 0.697285i
\(747\) 2.00980 + 11.3981i 0.0735347 + 0.417036i
\(748\) −1.09240 1.89209i −0.0399420 0.0691815i
\(749\) −5.08512 + 8.80769i −0.185806 + 0.321826i
\(750\) 9.57057 + 3.48340i 0.349468 + 0.127196i
\(751\) 9.17024 + 3.33770i 0.334627 + 0.121794i 0.503869 0.863780i \(-0.331910\pi\)
−0.169242 + 0.985575i \(0.554132\pi\)
\(752\) −1.02094 + 1.76833i −0.0372300 + 0.0644843i
\(753\) 8.97178 + 15.5396i 0.326950 + 0.566294i
\(754\) −2.70961 15.3669i −0.0986781 0.559631i
\(755\) 18.6264 + 15.6294i 0.677883 + 0.568812i
\(756\) −0.407604 + 0.342020i −0.0148244 + 0.0124392i
\(757\) −7.55438 + 42.8430i −0.274569 + 1.55716i 0.465761 + 0.884911i \(0.345781\pi\)
−0.740329 + 0.672245i \(0.765330\pi\)
\(758\) 4.43969 1.61592i 0.161257 0.0586927i
\(759\) 12.5963 0.457216
\(760\) −5.14203 0.480105i −0.186521 0.0174152i
\(761\) 44.7137 1.62087 0.810435 0.585828i \(-0.199231\pi\)
0.810435 + 0.585828i \(0.199231\pi\)
\(762\) 1.77332 0.645435i 0.0642405 0.0233816i
\(763\) −1.51636 + 8.59970i −0.0548959 + 0.311330i
\(764\) −11.6270 + 9.75622i −0.420651 + 0.352968i
\(765\) 1.05509 + 0.885328i 0.0381470 + 0.0320091i
\(766\) 0.910130 + 5.16160i 0.0328843 + 0.186496i
\(767\) −5.19846 9.00400i −0.187706 0.325116i
\(768\) 0.500000 0.866025i 0.0180422 0.0312500i
\(769\) −20.7690 7.55931i −0.748951 0.272596i −0.0607865 0.998151i \(-0.519361\pi\)
−0.688164 + 0.725555i \(0.741583\pi\)
\(770\) 1.11334 + 0.405223i 0.0401220 + 0.0146032i
\(771\) 14.7062 25.4719i 0.529631 0.917348i
\(772\) −6.50387 11.2650i