Properties

Label 114.2.i.d.61.1
Level $114$
Weight $2$
Character 114.61
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 61.1
Root \(0.939693 + 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 114.61
Dual form 114.2.i.d.43.1

$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

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

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 −0.416873 0.908965i \(-0.636874\pi\)
0.822766 + 0.568380i \(0.192430\pi\)
\(6\) 0.173648 0.984808i 0.0708916 0.402046i
\(7\) −0.266044 + 0.460802i −0.100555 + 0.174167i −0.911914 0.410382i \(-0.865395\pi\)
0.811358 + 0.584549i \(0.198729\pi\)
\(8\) 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 0.688874 0.724881i \(-0.258105\pi\)
−0.972202 + 0.234142i \(0.924772\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) −0.673648 + 3.82045i −0.186836 + 1.05960i 0.736737 + 0.676180i \(0.236366\pi\)
−0.923573 + 0.383422i \(0.874745\pi\)
\(14\) −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 0.206132 0.978524i \(-0.433912\pi\)
−0.471077 + 0.882092i \(0.656135\pi\)
\(18\) −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 −0.0754683 0.997148i \(-0.524045\pi\)
−0.995104 + 0.0988312i \(0.968490\pi\)
\(24\) 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 0.0336640 0.999433i \(-0.489282\pi\)
0.668211 + 0.743971i \(0.267060\pi\)
\(30\) −0.592396 1.02606i −0.108156 0.187332i
\(31\) 0.979055 1.69577i 0.175844 0.304570i −0.764609 0.644494i \(-0.777068\pi\)
0.940453 + 0.339924i \(0.110401\pi\)
\(32\) −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 −0.823540 0.567258i \(-0.808004\pi\)
0.579861 0.814715i \(-0.303107\pi\)
\(42\) 0.407604 + 0.342020i 0.0628946 + 0.0527749i
\(43\) 1.85844 1.55942i 0.283410 0.237809i −0.489989 0.871728i \(-0.662999\pi\)
0.773399 + 0.633919i \(0.218555\pi\)
\(44\) 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 −0.478145 0.878281i \(-0.658691\pi\)
0.198267 + 0.980148i \(0.436469\pi\)
\(48\) 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 0.974450 + 0.224605i \(0.0721093\pi\)
0.390404 + 0.920643i \(0.372335\pi\)
\(54\) 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 0.500710 0.865615i \(-0.333072\pi\)
−0.172840 + 0.984950i \(0.555294\pi\)
\(60\) −0.205737 1.16679i −0.0265605 0.150632i
\(61\) −8.69253 7.29390i −1.11296 0.933888i −0.114737 0.993396i \(-0.536603\pi\)
−0.998228 + 0.0595075i \(0.981047\pi\)
\(62\) 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 0.391150 0.920327i \(-0.372077\pi\)
0.891213 + 0.453585i \(0.149855\pi\)
\(68\) −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 −0.323608 0.946191i \(-0.604896\pi\)
0.875623 + 0.482996i \(0.160451\pi\)
\(72\) −0.766044 0.642788i −0.0902792 0.0757532i
\(73\) −0.0569038 0.322718i −0.00666009 0.0377712i 0.981297 0.192502i \(-0.0616601\pi\)
−0.987957 + 0.154731i \(0.950549\pi\)
\(74\) 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 −0.571109 0.820874i \(-0.693487\pi\)
0.255912 0.966700i \(-0.417624\pi\)
\(80\) 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 0.351267 + 0.936275i \(0.385751\pi\)
−0.986472 + 0.163931i \(0.947582\pi\)
\(84\) 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 0.934366 + 0.356314i \(0.115967\pi\)
−0.999884 + 0.0152532i \(0.995145\pi\)
\(90\) −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 0.0459494 0.998944i \(-0.485369\pi\)
−0.606909 + 0.794771i \(0.707591\pi\)
\(98\) 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 −0.656218 0.754572i \(-0.727845\pi\)
0.874722 0.484626i \(-0.161044\pi\)
\(102\) −0.581252 + 1.00676i −0.0575525 + 0.0996839i
\(103\) −1.48158 2.56617i −0.145985 0.252853i 0.783755 0.621070i \(-0.213302\pi\)
−0.929740 + 0.368217i \(0.879968\pi\)
\(104\) −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 −0.130581 + 0.991438i \(0.541684\pi\)
−0.793320 + 0.608805i \(0.791649\pi\)
\(108\) −0.173648 + 0.984808i −0.0167093 + 0.0947632i
\(109\) −12.5719 + 10.5491i −1.20417 + 1.01042i −0.204670 + 0.978831i \(0.565612\pi\)
−0.999501 + 0.0315888i \(0.989943\pi\)
\(110\) −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 −0.995889 0.0905828i \(-0.971127\pi\)
0.966811 + 0.255494i \(0.0822381\pi\)
\(128\) −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 −0.137001 0.990571i \(-0.543746\pi\)
−0.741675 + 0.670759i \(0.765968\pi\)
\(132\) −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 0.195231 0.980757i \(-0.437454\pi\)
−0.931956 + 0.362572i \(0.881899\pi\)
\(138\) −5.13429 + 4.30818i −0.437059 + 0.366736i
\(139\) −2.11334 + 11.9854i −0.179251 + 1.01658i 0.753870 + 0.657023i \(0.228185\pi\)
−0.933122 + 0.359561i \(0.882926\pi\)
\(140\) −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 −0.847478 0.530830i \(-0.821880\pi\)
0.614815 0.788672i \(-0.289231\pi\)
\(150\) 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 −0.735327 0.677713i \(-0.762971\pi\)
0.539729 + 0.841839i \(0.318527\pi\)
\(158\) 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 0.765058 + 0.643961i \(0.222710\pi\)
0.175157 + 0.984540i \(0.443957\pi\)
\(164\) 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 0.744801 0.667287i \(-0.232544\pi\)
−0.527816 + 0.849359i \(0.676989\pi\)
\(168\) 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 0.525414 0.850847i \(-0.323911\pi\)
−0.144424 + 0.989516i \(0.546133\pi\)
\(174\) −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 0.757963 + 0.652297i \(0.226195\pi\)
0.185924 + 0.982564i \(0.440472\pi\)
\(180\) −1.11334 + 0.405223i −0.0829835 + 0.0302035i
\(181\) 16.2626 5.91912i 1.20879 0.439965i 0.342508 0.939515i \(-0.388724\pi\)
0.866285 + 0.499550i \(0.166501\pi\)
\(182\) −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 0.951515 + 0.307603i \(0.0995269\pi\)
−0.788925 + 0.614490i \(0.789362\pi\)
\(194\) −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 −0.661453 0.749987i \(-0.730060\pi\)
0.980234 + 0.197842i \(0.0633931\pi\)
\(198\) 0.939693 + 1.62760i 0.0667810 + 0.115668i
\(199\) 4.23308 1.54071i 0.300075 0.109218i −0.187595 0.982246i \(-0.560069\pi\)
0.487670 + 0.873028i \(0.337847\pi\)
\(200\) −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 0.540740 0.841190i \(-0.318144\pi\)
−0.126475 + 0.991970i \(0.540366\pi\)
\(212\) 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 −0.555640 0.831423i \(-0.687527\pi\)
0.722306 + 0.691574i \(0.243082\pi\)
\(224\) −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 −0.719528 0.694463i \(-0.755642\pi\)
0.558968 + 0.829189i \(0.311197\pi\)
\(234\) 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 0.748767 0.662833i \(-0.230646\pi\)
−0.948414 + 0.317035i \(0.897313\pi\)
\(240\) 0.592396 1.02606i 0.0382390 0.0662319i
\(241\) 0.266922 1.51379i 0.0171939 0.0975117i −0.975003 0.222191i \(-0.928679\pi\)
0.992197 + 0.124679i \(0.0397902\pi\)
\(242\) 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 0.963594 0.267370i \(-0.0861545\pi\)
−0.0959815 + 0.995383i \(0.530599\pi\)
\(252\) 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 −0.998179 0.0603277i \(-0.980785\pi\)
−0.725871 + 0.687831i \(0.758563\pi\)
\(258\) −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 0.987052 + 0.160400i \(0.0512783\pi\)
−0.872666 + 0.488318i \(0.837611\pi\)
\(264\) −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 −0.875882 0.482526i \(-0.839719\pi\)
0.658026 0.752995i \(-0.271392\pi\)
\(270\) 0.907604 + 0.761570i 0.0552350 + 0.0463477i
\(271\) 1.43763 1.20632i 0.0873300 0.0732786i −0.598078 0.801438i \(-0.704069\pi\)
0.685408 + 0.728160i \(0.259624\pi\)
\(272\) 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 0.783505 0.621385i \(-0.213430\pi\)
−0.929888 + 0.367843i \(0.880096\pi\)
\(278\) −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 0.633516 0.773730i \(-0.281611\pi\)
−0.651966 + 0.758248i \(0.726056\pi\)
\(282\) 0.354570 + 2.01087i 0.0211144 + 0.119745i
\(283\) −16.5287 6.01595i −0.982528 0.357611i −0.199706 0.979856i \(-0.563999\pi\)
−0.782823 + 0.622245i \(0.786221\pi\)
\(284\) 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 0.991749 0.128195i \(-0.0409183\pi\)
−0.606894 + 0.794782i \(0.707585\pi\)
\(294\) 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 0.946443 + 0.322872i \(0.104648\pi\)
−0.778937 + 0.627103i \(0.784241\pi\)
\(308\) 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 −0.830289 0.557333i \(-0.811825\pi\)
0.897809 + 0.440385i \(0.145158\pi\)
\(312\) 1.93969 + 3.35965i 0.109813 + 0.190203i
\(313\) 28.0621 10.2138i 1.58616 0.577317i 0.609632 0.792685i \(-0.291317\pi\)
0.976533 + 0.215368i \(0.0690951\pi\)
\(314\) −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 0.931224 + 0.364448i \(0.118742\pi\)
−0.999713 + 0.0239714i \(0.992369\pi\)
\(318\) 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 −0.949026 0.315199i \(-0.897929\pi\)
0.201543 0.979480i \(-0.435404\pi\)
\(332\) −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 −0.846095 0.533032i \(-0.821052\pi\)
0.378012 + 0.925801i \(0.376608\pi\)
\(338\) −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 −0.602115 0.798409i \(-0.705675\pi\)
0.681723 + 0.731610i \(0.261231\pi\)
\(348\) 0.698463 3.96118i 0.0374416 0.212342i
\(349\) −7.19846 + 12.4681i −0.385325 + 0.667402i −0.991814 0.127689i \(-0.959244\pi\)
0.606489 + 0.795092i \(0.292577\pi\)
\(350\) −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 0.577339 0.816504i \(-0.304091\pi\)
−0.995783 + 0.0917384i \(0.970758\pi\)
\(354\) 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 −0.0727672 0.997349i \(-0.523183\pi\)
−0.696826 + 0.717240i \(0.745405\pi\)
\(360\) −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 0.826465 + 0.562988i \(0.190348\pi\)
−0.969176 + 0.246368i \(0.920763\pi\)
\(368\) 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 −0.172095 0.985080i \(-0.555054\pi\)
0.939152 0.343501i \(-0.111613\pi\)
\(374\) −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 0.952686 0.303957i \(-0.0983079\pi\)
−0.999191 + 0.0402115i \(0.987197\pi\)
\(384\) 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 0.0431144 0.999070i \(-0.486272\pi\)
0.675217 + 0.737619i \(0.264050\pi\)
\(390\) 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 0.661406 0.750028i \(-0.269960\pi\)
0.0245573 + 0.999698i \(0.492182\pi\)
\(398\) 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 0.274170 0.961681i \(-0.411597\pi\)
−0.408131 + 0.912923i \(0.633819\pi\)
\(402\) −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 −0.977428 0.211269i \(-0.932240\pi\)
−0.612952 + 0.790120i \(0.710018\pi\)
\(410\) −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 0.973313 + 0.229480i \(0.0737026\pi\)
−0.836129 + 0.548534i \(0.815186\pi\)
\(422\) 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 −0.672094 0.740466i \(-0.734605\pi\)
0.884816 0.465940i \(-0.154284\pi\)
\(432\) −0.766044 + 0.642788i −0.0368563 + 0.0309261i
\(433\) 9.07604 + 7.61570i 0.436167 + 0.365987i 0.834273 0.551352i \(-0.185888\pi\)
−0.398106 + 0.917339i \(0.630332\pi\)
\(434\) 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 −0.310766 0.950486i \(-0.600586\pi\)
−0.849022 + 0.528358i \(0.822808\pi\)
\(440\) −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 −0.980763 0.195201i \(-0.937464\pi\)
0.988379 + 0.152012i \(0.0485753\pi\)
\(444\) 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 −0.954960 0.296735i \(-0.904102\pi\)
0.734460 + 0.678652i \(0.237435\pi\)
\(450\) 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 −0.994032 0.109093i \(-0.965205\pi\)
−0.0651765 + 0.997874i \(0.520761\pi\)
\(462\) 0.173648 0.984808i 0.00807884 0.0458174i
\(463\) 5.91534 10.2457i 0.274909 0.476157i −0.695203 0.718814i \(-0.744685\pi\)
0.970112 + 0.242657i \(0.0780188\pi\)
\(464\) 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 −0.843895 0.536508i \(-0.819743\pi\)
−0.0426825 0.999089i \(-0.513590\pi\)
\(468\) 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 0.989259 + 0.146176i \(0.0466964\pi\)
0.315738 + 0.948846i \(0.397748\pi\)
\(480\) 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 0.201956 + 0.979395i \(0.435270\pi\)
−0.949159 + 0.314798i \(0.898063\pi\)
\(488\) 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 0.972315 + 0.233675i \(0.0750752\pi\)
−0.833755 + 0.552134i \(0.813814\pi\)
\(492\) −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 −0.0456890 0.998956i \(-0.514548\pi\)
0.975846 + 0.218462i \(0.0701039\pi\)
\(500\) −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 −0.353961 0.935260i \(-0.615165\pi\)
0.330024 + 0.943972i \(0.392943\pi\)
\(504\) 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 0.970352 + 0.241698i \(0.0777043\pi\)
0.406526 + 0.913639i \(0.366740\pi\)
\(510\) 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 0.581314 0.813680i \(-0.302539\pi\)
−0.995324 + 0.0965927i \(0.969206\pi\)
\(522\) −3.77972 + 1.37570i −0.165434 + 0.0602129i
\(523\) 4.45589 1.62181i 0.194842 0.0709168i −0.242756 0.970087i \(-0.578051\pi\)
0.437598 + 0.899171i \(0.355829\pi\)
\(524\) −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 0.301796 0.953373i \(-0.402414\pi\)
0.844005 + 0.536335i \(0.180192\pi\)
\(542\) 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 0.523118 0.852260i \(-0.324769\pi\)
−0.748474 + 0.663164i \(0.769213\pi\)
\(548\) −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 0.887332 + 0.461131i \(0.152556\pi\)
−0.991535 + 0.129836i \(0.958555\pi\)
\(558\) −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 −0.176801 0.984247i \(-0.556575\pi\)
0.940783 0.339009i \(-0.110092\pi\)
\(564\) −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 −0.534930 0.844897i \(-0.679662\pi\)
0.999167 + 0.0408143i \(0.0129952\pi\)
\(578\) −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 0.832856 0.553490i \(-0.186704\pi\)
0.282228 + 0.959347i \(0.408926\pi\)
\(588\) 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 0.808938 0.587894i \(-0.200043\pi\)
−0.438492 + 0.898735i \(0.644487\pi\)
\(594\) 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 0.108454 0.994101i \(-0.465410\pi\)
0.722077 + 0.691813i \(0.243188\pi\)
\(600\) 1.79813 + 3.11446i 0.0734085 + 0.127147i
\(601\) 13.0967 22.6842i 0.534227 0.925308i −0.464973 0.885325i \(-0.653936\pi\)
0.999200 0.0399835i \(-0.0127305\pi\)
\(602\) −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 −0.725614 0.688102i \(-0.758444\pi\)
0.551647 + 0.834078i \(0.314000\pi\)
\(614\) −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 −0.515023 0.857176i \(-0.672217\pi\)
0.156452 + 0.987686i \(0.449994\pi\)
\(618\) −2.78446 + 1.01346i −0.112008 + 0.0407674i
\(619\) 7.37464 + 12.7732i 0.296412 + 0.513400i 0.975312 0.220830i \(-0.0708766\pi\)
−0.678901 + 0.734230i \(0.737543\pi\)
\(620\) 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 0.938756 0.344582i \(-0.111979\pi\)
−0.176334 + 0.984330i \(0.556424\pi\)
\(632\) 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 −0.337528 + 0.941315i \(0.609591\pi\)
−0.985626 + 0.168943i \(0.945965\pi\)
\(642\) 14.6420 + 12.2861i 0.577875 + 0.484894i
\(643\) −5.80912 32.9451i −0.229089 1.29923i −0.854712 0.519103i \(-0.826266\pi\)
0.625622 0.780126i \(-0.284845\pi\)
\(644\) 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 −0.892969 0.450118i \(-0.851382\pi\)
0.836298 + 0.548275i \(0.184715\pi\)
\(654\) 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 −0.859370 0.511355i \(-0.829144\pi\)
0.982437 0.186595i \(-0.0597452\pi\)
\(660\) −1.70574 + 1.43128i −0.0663957 + 0.0557126i
\(661\) 16.4081 + 13.7680i 0.638200 + 0.535513i 0.903465 0.428662i \(-0.141015\pi\)
−0.265265 + 0.964176i \(0.585459\pi\)
\(662\) −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 −0.929435 0.368987i \(-0.879705\pi\)
0.145165 0.989407i \(-0.453629\pi\)
\(674\) −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 −0.864715 0.502263i \(-0.832501\pi\)
0.867330 + 0.497733i \(0.165834\pi\)
\(678\) −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 −0.976547 0.215304i \(-0.930926\pi\)
0.674732 + 0.738062i \(0.264259\pi\)
\(692\) 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 −0.0221726 0.999754i \(-0.507058\pi\)
−0.659615 + 0.751604i \(0.729281\pi\)
\(702\) −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 −0.664871 0.746959i \(-0.731513\pi\)
0.880249 0.474512i \(-0.157376\pi\)
\(710\) 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 0.794931 + 0.606700i \(0.207507\pi\)
−0.539487 + 0.841994i \(0.681382\pi\)
\(720\) −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 −0.345577 0.938390i \(-0.612317\pi\)
0.864125 + 0.503277i \(0.167872\pi\)
\(728\) 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 0.688160 0.725559i \(-0.258419\pi\)
−0.972433 + 0.233184i \(0.925086\pi\)
\(734\) −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 0.0661104 0.997812i \(-0.478941\pi\)
−0.590738 + 0.806864i \(0.701163\pi\)
\(740\) 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 0.506442 0.862274i \(-0.330960\pi\)
−0.166302 + 0.986075i \(0.553183\pi\)
\(744\) −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 −0.169242 0.985575i \(-0.554132\pi\)
0.503869 + 0.863780i \(0.331910\pi\)
\(752\) −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 −0.740329 0.672245i \(-0.765330\pi\)
0.465761 0.884911i \(-0.345781\pi\)
\(758\) 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 −0.688164 0.725555i \(-0.741583\pi\)
−0.0607865 + 0.998151i \(0.519361\pi\)
\(770\) 1.11334 0.405223i 0.0401220 0.0146032i
\(771\) 14.7062 + 25.4719i 0.529631 + 0.917348i
\(772\) −6.50387