Properties

Label 175.2.x.a.103.2
Level $175$
Weight $2$
Character 175.103
Analytic conductor $1.397$
Analytic rank $0$
Dimension $288$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 175 = 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 175.x (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.39738203537\)
Analytic rank: \(0\)
Dimension: \(288\)
Relative dimension: \(18\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 103.2
Character \(\chi\) \(=\) 175.103
Dual form 175.2.x.a.17.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.42673 - 0.127179i) q^{2} +(-1.28700 - 1.58931i) q^{3} +(3.88379 + 0.408202i) q^{4} +(-2.16561 + 0.556914i) q^{5} +(2.92107 + 4.02051i) q^{6} +(-2.31224 - 1.28591i) q^{7} +(-4.57269 - 0.724243i) q^{8} +(-0.245810 + 1.15644i) q^{9} +O(q^{10})\) \(q+(-2.42673 - 0.127179i) q^{2} +(-1.28700 - 1.58931i) q^{3} +(3.88379 + 0.408202i) q^{4} +(-2.16561 + 0.556914i) q^{5} +(2.92107 + 4.02051i) q^{6} +(-2.31224 - 1.28591i) q^{7} +(-4.57269 - 0.724243i) q^{8} +(-0.245810 + 1.15644i) q^{9} +(5.32616 - 1.07606i) q^{10} +(-2.02243 + 0.429882i) q^{11} +(-4.34967 - 6.69790i) q^{12} +(4.81187 + 2.45177i) q^{13} +(5.44763 + 3.41461i) q^{14} +(3.67224 + 2.72507i) q^{15} +(3.36489 + 0.715229i) q^{16} +(1.96169 + 5.11037i) q^{17} +(0.743588 - 2.77511i) q^{18} +(0.242645 + 2.30861i) q^{19} +(-8.63808 + 1.27893i) q^{20} +(0.932143 + 5.32983i) q^{21} +(4.96257 - 0.785994i) q^{22} +(-0.146917 + 2.80334i) q^{23} +(4.73400 + 8.19953i) q^{24} +(4.37969 - 2.41211i) q^{25} +(-11.3653 - 6.56174i) q^{26} +(-3.31219 + 1.68764i) q^{27} +(-8.45533 - 5.93804i) q^{28} +(3.75352 - 5.16628i) q^{29} +(-8.56496 - 7.08004i) q^{30} +(-2.88229 + 6.47373i) q^{31} +(0.869181 + 0.232896i) q^{32} +(3.28609 + 2.66102i) q^{33} +(-4.11055 - 12.6510i) q^{34} +(5.72353 + 1.49705i) q^{35} +(-1.42673 + 4.39104i) q^{36} +(0.340852 - 0.221352i) q^{37} +(-0.295225 - 5.63323i) q^{38} +(-2.29624 - 10.8030i) q^{39} +(10.3060 - 0.978172i) q^{40} +(-8.72248 + 2.83411i) q^{41} +(-1.58421 - 13.0526i) q^{42} +(-3.92695 - 3.92695i) q^{43} +(-8.03018 + 0.844006i) q^{44} +(-0.111713 - 2.64129i) q^{45} +(0.713054 - 6.78426i) q^{46} +(-2.50126 - 0.960145i) q^{47} +(-3.19388 - 6.26835i) q^{48} +(3.69289 + 5.94664i) q^{49} +(-10.9351 + 5.29653i) q^{50} +(5.59728 - 9.69478i) q^{51} +(17.6874 + 11.4864i) q^{52} +(-3.15369 + 2.55381i) q^{53} +(8.25240 - 3.67421i) q^{54} +(4.14039 - 2.05728i) q^{55} +(9.64184 + 7.55468i) q^{56} +(3.35682 - 3.35682i) q^{57} +(-9.76581 + 12.0598i) q^{58} +(0.0263546 - 0.0292698i) q^{59} +(13.1498 + 12.0826i) q^{60} +(-5.29174 + 4.76471i) q^{61} +(7.81785 - 15.3434i) q^{62} +(2.05545 - 2.35788i) q^{63} +(-8.62303 - 2.80179i) q^{64} +(-11.7860 - 2.62977i) q^{65} +(-7.63601 - 6.87550i) q^{66} +(-8.24200 + 3.16381i) q^{67} +(5.53271 + 20.6484i) q^{68} +(4.64447 - 3.37440i) q^{69} +(-13.6991 - 4.36084i) q^{70} +(9.94567 + 7.22595i) q^{71} +(1.96156 - 5.11003i) q^{72} +(-1.53012 + 2.35618i) q^{73} +(-0.855306 + 0.493811i) q^{74} +(-9.47026 - 3.85631i) q^{75} +9.06520i q^{76} +(5.22914 + 1.60667i) q^{77} +(4.19844 + 26.5079i) q^{78} +(3.25691 + 7.31514i) q^{79} +(-7.68534 + 0.325050i) q^{80} +(10.1852 + 4.53473i) q^{81} +(21.5275 - 5.76828i) q^{82} +(1.44682 - 9.13488i) q^{83} +(1.44459 + 21.0804i) q^{84} +(-7.09428 - 9.97456i) q^{85} +(9.03021 + 10.0291i) q^{86} +(-13.0416 + 0.683481i) q^{87} +(9.55931 - 0.500982i) q^{88} +(1.60882 + 1.78677i) q^{89} +(-0.0648213 + 6.42391i) q^{90} +(-7.97344 - 11.8567i) q^{91} +(-1.71492 + 10.8276i) q^{92} +(13.9983 - 3.75083i) q^{93} +(5.94777 + 2.64812i) q^{94} +(-1.81117 - 4.86441i) q^{95} +(-0.748490 - 1.68114i) q^{96} +(2.60779 + 16.4649i) q^{97} +(-8.20535 - 14.9005i) q^{98} -2.44450i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} + O(q^{10}) \) \( 288 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 30 q^{5} - 10 q^{7} - 36 q^{8} - 10 q^{9} - 36 q^{10} - 6 q^{11} - 36 q^{12} - 20 q^{14} - 28 q^{15} - 30 q^{16} - 42 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} + 32 q^{22} - 40 q^{23} + 2 q^{25} - 48 q^{26} + 22 q^{28} - 58 q^{30} - 18 q^{31} + 8 q^{32} - 30 q^{33} - 2 q^{35} + 40 q^{36} - 10 q^{37} + 72 q^{38} + 30 q^{39} - 48 q^{40} + 6 q^{42} - 108 q^{43} - 10 q^{44} + 186 q^{45} - 6 q^{46} - 54 q^{47} - 248 q^{50} - 16 q^{51} + 216 q^{52} + 50 q^{53} - 30 q^{54} + 4 q^{56} - 216 q^{57} - 4 q^{58} + 90 q^{59} + 96 q^{60} - 18 q^{61} - 66 q^{63} - 100 q^{64} + 14 q^{65} - 90 q^{66} + 4 q^{67} + 342 q^{68} - 60 q^{70} - 24 q^{71} + 58 q^{72} - 6 q^{73} + 216 q^{75} - 80 q^{77} - 132 q^{78} - 10 q^{79} - 6 q^{80} - 10 q^{81} + 216 q^{82} + 20 q^{84} - 48 q^{85} - 6 q^{86} - 48 q^{87} - 122 q^{88} + 120 q^{89} - 12 q^{91} - 4 q^{92} + 106 q^{93} - 30 q^{94} - 98 q^{95} - 90 q^{96} + 222 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.42673 0.127179i −1.71596 0.0899294i −0.831196 0.555979i \(-0.812344\pi\)
−0.884759 + 0.466050i \(0.845677\pi\)
\(3\) −1.28700 1.58931i −0.743049 0.917590i 0.255742 0.966745i \(-0.417680\pi\)
−0.998791 + 0.0491556i \(0.984347\pi\)
\(4\) 3.88379 + 0.408202i 1.94189 + 0.204101i
\(5\) −2.16561 + 0.556914i −0.968488 + 0.249060i
\(6\) 2.92107 + 4.02051i 1.19252 + 1.64136i
\(7\) −2.31224 1.28591i −0.873944 0.486027i
\(8\) −4.57269 0.724243i −1.61669 0.256059i
\(9\) −0.245810 + 1.15644i −0.0819365 + 0.385481i
\(10\) 5.32616 1.07606i 1.68428 0.340279i
\(11\) −2.02243 + 0.429882i −0.609787 + 0.129614i −0.502447 0.864608i \(-0.667567\pi\)
−0.107340 + 0.994222i \(0.534233\pi\)
\(12\) −4.34967 6.69790i −1.25564 1.93352i
\(13\) 4.81187 + 2.45177i 1.33457 + 0.679998i 0.968131 0.250443i \(-0.0805763\pi\)
0.366441 + 0.930441i \(0.380576\pi\)
\(14\) 5.44763 + 3.41461i 1.45594 + 0.912594i
\(15\) 3.67224 + 2.72507i 0.948169 + 0.703611i
\(16\) 3.36489 + 0.715229i 0.841221 + 0.178807i
\(17\) 1.96169 + 5.11037i 0.475779 + 1.23945i 0.936112 + 0.351701i \(0.114397\pi\)
−0.460333 + 0.887746i \(0.652270\pi\)
\(18\) 0.743588 2.77511i 0.175265 0.654100i
\(19\) 0.242645 + 2.30861i 0.0556666 + 0.529632i 0.986450 + 0.164061i \(0.0524595\pi\)
−0.930784 + 0.365571i \(0.880874\pi\)
\(20\) −8.63808 + 1.27893i −1.93153 + 0.285977i
\(21\) 0.932143 + 5.32983i 0.203410 + 1.16306i
\(22\) 4.96257 0.785994i 1.05802 0.167574i
\(23\) −0.146917 + 2.80334i −0.0306343 + 0.584537i 0.939586 + 0.342313i \(0.111210\pi\)
−0.970220 + 0.242224i \(0.922123\pi\)
\(24\) 4.73400 + 8.19953i 0.966324 + 1.67372i
\(25\) 4.37969 2.41211i 0.875939 0.482422i
\(26\) −11.3653 6.56174i −2.22891 1.28686i
\(27\) −3.31219 + 1.68764i −0.637430 + 0.324787i
\(28\) −8.45533 5.93804i −1.59791 1.12218i
\(29\) 3.75352 5.16628i 0.697011 0.959353i −0.302969 0.953001i \(-0.597978\pi\)
0.999980 0.00635297i \(-0.00202223\pi\)
\(30\) −8.56496 7.08004i −1.56374 1.29263i
\(31\) −2.88229 + 6.47373i −0.517674 + 1.16272i 0.445853 + 0.895106i \(0.352900\pi\)
−0.963527 + 0.267609i \(0.913766\pi\)
\(32\) 0.869181 + 0.232896i 0.153651 + 0.0411706i
\(33\) 3.28609 + 2.66102i 0.572035 + 0.463224i
\(34\) −4.11055 12.6510i −0.704953 2.16962i
\(35\) 5.72353 + 1.49705i 0.967454 + 0.253047i
\(36\) −1.42673 + 4.39104i −0.237789 + 0.731839i
\(37\) 0.340852 0.221352i 0.0560357 0.0363900i −0.516317 0.856397i \(-0.672697\pi\)
0.572353 + 0.820007i \(0.306031\pi\)
\(38\) −0.295225 5.63323i −0.0478919 0.913831i
\(39\) −2.29624 10.8030i −0.367693 1.72986i
\(40\) 10.3060 0.978172i 1.62952 0.154663i
\(41\) −8.72248 + 2.83411i −1.36222 + 0.442613i −0.896784 0.442468i \(-0.854103\pi\)
−0.465438 + 0.885081i \(0.654103\pi\)
\(42\) −1.58421 13.0526i −0.244449 2.01406i
\(43\) −3.92695 3.92695i −0.598854 0.598854i 0.341153 0.940008i \(-0.389182\pi\)
−0.940008 + 0.341153i \(0.889182\pi\)
\(44\) −8.03018 + 0.844006i −1.21060 + 0.127239i
\(45\) −0.111713 2.64129i −0.0166532 0.393741i
\(46\) 0.713054 6.78426i 0.105134 1.00028i
\(47\) −2.50126 0.960145i −0.364847 0.140052i 0.169036 0.985610i \(-0.445934\pi\)
−0.533883 + 0.845558i \(0.679268\pi\)
\(48\) −3.19388 6.26835i −0.460997 0.904759i
\(49\) 3.69289 + 5.94664i 0.527556 + 0.849520i
\(50\) −10.9351 + 5.29653i −1.54646 + 0.749043i
\(51\) 5.59728 9.69478i 0.783777 1.35754i
\(52\) 17.6874 + 11.4864i 2.45281 + 1.59287i
\(53\) −3.15369 + 2.55381i −0.433193 + 0.350793i −0.820981 0.570956i \(-0.806573\pi\)
0.387788 + 0.921749i \(0.373239\pi\)
\(54\) 8.25240 3.67421i 1.12301 0.499996i
\(55\) 4.14039 2.05728i 0.558290 0.277403i
\(56\) 9.64184 + 7.55468i 1.28845 + 1.00954i
\(57\) 3.35682 3.35682i 0.444622 0.444622i
\(58\) −9.76581 + 12.0598i −1.28231 + 1.58353i
\(59\) 0.0263546 0.0292698i 0.00343108 0.00381060i −0.741427 0.671034i \(-0.765851\pi\)
0.744858 + 0.667223i \(0.232517\pi\)
\(60\) 13.1498 + 12.0826i 1.69763 + 1.55986i
\(61\) −5.29174 + 4.76471i −0.677538 + 0.610058i −0.934330 0.356409i \(-0.884001\pi\)
0.256792 + 0.966467i \(0.417334\pi\)
\(62\) 7.81785 15.3434i 0.992868 1.94861i
\(63\) 2.05545 2.35788i 0.258962 0.297065i
\(64\) −8.62303 2.80179i −1.07788 0.350224i
\(65\) −11.7860 2.62977i −1.46188 0.326182i
\(66\) −7.63601 6.87550i −0.939928 0.846315i
\(67\) −8.24200 + 3.16381i −1.00692 + 0.386520i −0.805251 0.592933i \(-0.797970\pi\)
−0.201669 + 0.979454i \(0.564636\pi\)
\(68\) 5.53271 + 20.6484i 0.670940 + 2.50398i
\(69\) 4.64447 3.37440i 0.559128 0.406230i
\(70\) −13.6991 4.36084i −1.63735 0.521220i
\(71\) 9.94567 + 7.22595i 1.18033 + 0.857562i 0.992209 0.124583i \(-0.0397592\pi\)
0.188124 + 0.982145i \(0.439759\pi\)
\(72\) 1.96156 5.11003i 0.231172 0.602223i
\(73\) −1.53012 + 2.35618i −0.179087 + 0.275769i −0.916802 0.399343i \(-0.869238\pi\)
0.737715 + 0.675112i \(0.235905\pi\)
\(74\) −0.855306 + 0.493811i −0.0994273 + 0.0574044i
\(75\) −9.47026 3.85631i −1.09353 0.445288i
\(76\) 9.06520i 1.03985i
\(77\) 5.22914 + 1.60667i 0.595916 + 0.183097i
\(78\) 4.19844 + 26.5079i 0.475380 + 3.00143i
\(79\) 3.25691 + 7.31514i 0.366431 + 0.823017i 0.998829 + 0.0483740i \(0.0154039\pi\)
−0.632398 + 0.774643i \(0.717929\pi\)
\(80\) −7.68534 + 0.325050i −0.859247 + 0.0363416i
\(81\) 10.1852 + 4.53473i 1.13169 + 0.503859i
\(82\) 21.5275 5.76828i 2.37732 0.637000i
\(83\) 1.44682 9.13488i 0.158809 1.00268i −0.771586 0.636125i \(-0.780536\pi\)
0.930395 0.366558i \(-0.119464\pi\)
\(84\) 1.44459 + 21.0804i 0.157618 + 2.30006i
\(85\) −7.09428 9.97456i −0.769483 1.08189i
\(86\) 9.03021 + 10.0291i 0.973752 + 1.08146i
\(87\) −13.0416 + 0.683481i −1.39821 + 0.0732769i
\(88\) 9.55931 0.500982i 1.01903 0.0534049i
\(89\) 1.60882 + 1.78677i 0.170534 + 0.189398i 0.822354 0.568977i \(-0.192661\pi\)
−0.651819 + 0.758374i \(0.725994\pi\)
\(90\) −0.0648213 + 6.42391i −0.00683276 + 0.677139i
\(91\) −7.97344 11.8567i −0.835843 1.24292i
\(92\) −1.71492 + 10.8276i −0.178793 + 1.12886i
\(93\) 13.9983 3.75083i 1.45155 0.388942i
\(94\) 5.94777 + 2.64812i 0.613466 + 0.273133i
\(95\) −1.81117 4.86441i −0.185822 0.499078i
\(96\) −0.748490 1.68114i −0.0763925 0.171580i
\(97\) 2.60779 + 16.4649i 0.264781 + 1.67176i 0.658539 + 0.752546i \(0.271175\pi\)
−0.393758 + 0.919214i \(0.628825\pi\)
\(98\) −8.20535 14.9005i −0.828865 1.50518i
\(99\) 2.44450i 0.245681i
\(100\) 17.9944 7.58033i 1.79944 0.758033i
\(101\) 2.70125 1.55957i 0.268784 0.155183i −0.359551 0.933125i \(-0.617070\pi\)
0.628335 + 0.777943i \(0.283737\pi\)
\(102\) −14.8161 + 22.8147i −1.46701 + 2.25899i
\(103\) 3.97884 10.3652i 0.392046 1.02132i −0.585514 0.810662i \(-0.699107\pi\)
0.977561 0.210654i \(-0.0675593\pi\)
\(104\) −20.2275 14.6961i −1.98347 1.44108i
\(105\) −4.98691 11.0232i −0.486673 1.07575i
\(106\) 7.97794 5.79632i 0.774886 0.562988i
\(107\) 1.42262 + 5.30928i 0.137530 + 0.513267i 0.999975 + 0.00711676i \(0.00226535\pi\)
−0.862445 + 0.506151i \(0.831068\pi\)
\(108\) −13.5527 + 5.20240i −1.30411 + 0.500601i
\(109\) −7.84043 7.05955i −0.750977 0.676183i 0.201946 0.979397i \(-0.435274\pi\)
−0.952922 + 0.303214i \(0.901940\pi\)
\(110\) −10.3092 + 4.46588i −0.982947 + 0.425805i
\(111\) −0.790473 0.256840i −0.0750284 0.0243782i
\(112\) −6.86070 5.98071i −0.648275 0.565124i
\(113\) 2.84806 5.58963i 0.267923 0.525828i −0.717372 0.696690i \(-0.754655\pi\)
0.985295 + 0.170862i \(0.0546552\pi\)
\(114\) −8.57301 + 7.71917i −0.802936 + 0.722967i
\(115\) −1.24306 6.15275i −0.115916 0.573747i
\(116\) 16.6867 18.5325i 1.54933 1.72070i
\(117\) −4.01813 + 4.96198i −0.371477 + 0.458735i
\(118\) −0.0676779 + 0.0676779i −0.00623026 + 0.00623026i
\(119\) 2.03557 14.3389i 0.186600 1.31445i
\(120\) −14.8184 15.1205i −1.35273 1.38031i
\(121\) −6.14356 + 2.73529i −0.558505 + 0.248662i
\(122\) 13.4476 10.8896i 1.21749 0.985902i
\(123\) 15.7301 + 10.2152i 1.41834 + 0.921078i
\(124\) −13.8368 + 23.9660i −1.24258 + 2.15221i
\(125\) −8.14135 + 7.66280i −0.728184 + 0.685381i
\(126\) −5.28788 + 5.46053i −0.471082 + 0.486463i
\(127\) 0.0522005 + 0.102449i 0.00463204 + 0.00909090i 0.893311 0.449439i \(-0.148376\pi\)
−0.888679 + 0.458530i \(0.848376\pi\)
\(128\) 18.8893 + 7.25090i 1.66959 + 0.640895i
\(129\) −1.18717 + 11.2951i −0.104524 + 0.994481i
\(130\) 28.2670 + 7.88067i 2.47918 + 0.691180i
\(131\) 4.48303 0.471186i 0.391685 0.0411677i 0.0933606 0.995632i \(-0.470239\pi\)
0.298324 + 0.954465i \(0.403572\pi\)
\(132\) 11.6762 + 11.6762i 1.01628 + 1.01628i
\(133\) 2.40761 5.65008i 0.208766 0.489924i
\(134\) 20.4034 6.62948i 1.76259 0.572700i
\(135\) 6.23302 5.49937i 0.536453 0.473311i
\(136\) −5.26904 24.7889i −0.451817 2.12563i
\(137\) 0.773425 + 14.7578i 0.0660782 + 1.26085i 0.807524 + 0.589834i \(0.200807\pi\)
−0.741446 + 0.671012i \(0.765860\pi\)
\(138\) −11.7000 + 7.59807i −0.995970 + 0.646791i
\(139\) −6.53701 + 20.1189i −0.554462 + 1.70646i 0.142897 + 0.989738i \(0.454358\pi\)
−0.697359 + 0.716722i \(0.745642\pi\)
\(140\) 21.6179 + 8.15057i 1.82704 + 0.688849i
\(141\) 1.69315 + 5.21099i 0.142589 + 0.438845i
\(142\) −23.2164 18.8003i −1.94828 1.57769i
\(143\) −10.7857 2.89001i −0.901942 0.241675i
\(144\) −1.65424 + 3.71549i −0.137854 + 0.309624i
\(145\) −5.25147 + 13.2785i −0.436111 + 1.10272i
\(146\) 4.01284 5.52319i 0.332105 0.457103i
\(147\) 4.69832 13.5225i 0.387511 1.11532i
\(148\) 1.41415 0.720546i 0.116243 0.0592286i
\(149\) −6.08466 3.51298i −0.498474 0.287794i 0.229609 0.973283i \(-0.426255\pi\)
−0.728083 + 0.685489i \(0.759589\pi\)
\(150\) 22.4913 + 10.5626i 1.83641 + 0.862436i
\(151\) −9.79544 16.9662i −0.797142 1.38069i −0.921470 0.388449i \(-0.873011\pi\)
0.124328 0.992241i \(-0.460322\pi\)
\(152\) 0.562457 10.7323i 0.0456213 0.870505i
\(153\) −6.39206 + 1.01240i −0.516767 + 0.0818479i
\(154\) −12.4854 4.56399i −1.00610 0.367777i
\(155\) 2.63659 15.6247i 0.211776 1.25501i
\(156\) −4.50832 42.8938i −0.360954 3.43425i
\(157\) −0.466587 + 1.74133i −0.0372377 + 0.138973i −0.982042 0.188662i \(-0.939585\pi\)
0.944804 + 0.327635i \(0.106252\pi\)
\(158\) −6.97330 18.1661i −0.554766 1.44521i
\(159\) 8.11760 + 1.72545i 0.643768 + 0.136837i
\(160\) −2.01201 0.0203024i −0.159063 0.00160505i
\(161\) 3.94454 6.29307i 0.310873 0.495964i
\(162\) −24.1399 12.2999i −1.89661 0.966371i
\(163\) 0.714689 + 1.10052i 0.0559788 + 0.0861997i 0.865552 0.500819i \(-0.166968\pi\)
−0.809573 + 0.587019i \(0.800301\pi\)
\(164\) −35.0331 + 7.44652i −2.73563 + 0.581475i
\(165\) −8.59833 3.93265i −0.669379 0.306157i
\(166\) −4.67281 + 21.9839i −0.362681 + 1.70628i
\(167\) 0.192973 + 0.0305638i 0.0149327 + 0.00236510i 0.163896 0.986478i \(-0.447594\pi\)
−0.148964 + 0.988843i \(0.547594\pi\)
\(168\) −0.402310 25.0468i −0.0310389 1.93240i
\(169\) 9.50169 + 13.0780i 0.730899 + 1.00600i
\(170\) 15.9473 + 25.1078i 1.22310 + 1.92568i
\(171\) −2.72942 0.286874i −0.208724 0.0219378i
\(172\) −13.6484 16.8544i −1.04068 1.28514i
\(173\) −4.56378 0.239178i −0.346978 0.0181843i −0.121949 0.992536i \(-0.538914\pi\)
−0.225029 + 0.974352i \(0.572248\pi\)
\(174\) 31.7353 2.40585
\(175\) −13.2286 0.0544970i −0.999992 0.00411959i
\(176\) −7.11273 −0.536142
\(177\) −0.0804371 0.00421553i −0.00604602 0.000316859i
\(178\) −3.67692 4.54062i −0.275597 0.340334i
\(179\) −16.2139 1.70415i −1.21188 0.127374i −0.523056 0.852298i \(-0.675208\pi\)
−0.688829 + 0.724924i \(0.741875\pi\)
\(180\) 0.644313 10.3038i 0.0480243 0.768001i
\(181\) −6.42376 8.84155i −0.477474 0.657187i 0.500543 0.865712i \(-0.333134\pi\)
−0.978017 + 0.208525i \(0.933134\pi\)
\(182\) 17.8414 + 29.7870i 1.32249 + 2.20796i
\(183\) 14.3831 + 2.27805i 1.06323 + 0.168399i
\(184\) 2.70211 12.7124i 0.199202 0.937172i
\(185\) −0.614877 + 0.669186i −0.0452066 + 0.0491995i
\(186\) −34.4470 + 7.32194i −2.52578 + 0.536871i
\(187\) −6.16424 9.49210i −0.450774 0.694131i
\(188\) −9.32244 4.75002i −0.679909 0.346431i
\(189\) 9.82871 + 0.356928i 0.714934 + 0.0259627i
\(190\) 3.77657 + 12.0349i 0.273981 + 0.873107i
\(191\) 25.8655 + 5.49788i 1.87156 + 0.397813i 0.996308 0.0858500i \(-0.0273606\pi\)
0.875254 + 0.483663i \(0.160694\pi\)
\(192\) 6.64491 + 17.3106i 0.479555 + 1.24928i
\(193\) −3.32790 + 12.4199i −0.239547 + 0.894002i 0.736499 + 0.676439i \(0.236478\pi\)
−0.976046 + 0.217564i \(0.930189\pi\)
\(194\) −4.23439 40.2875i −0.304012 2.89248i
\(195\) 10.9891 + 22.1162i 0.786945 + 1.58377i
\(196\) 11.9150 + 24.6029i 0.851068 + 1.75735i
\(197\) −12.6628 + 2.00559i −0.902189 + 0.142893i −0.590260 0.807213i \(-0.700975\pi\)
−0.311929 + 0.950106i \(0.600975\pi\)
\(198\) −0.310890 + 5.93213i −0.0220940 + 0.421578i
\(199\) 0.816805 + 1.41475i 0.0579018 + 0.100289i 0.893523 0.449017i \(-0.148226\pi\)
−0.835622 + 0.549306i \(0.814892\pi\)
\(200\) −21.7739 + 7.85788i −1.53965 + 0.555636i
\(201\) 15.6357 + 9.02728i 1.10286 + 0.636736i
\(202\) −6.75353 + 3.44110i −0.475177 + 0.242115i
\(203\) −15.3224 + 7.11899i −1.07542 + 0.499655i
\(204\) 25.6961 35.3676i 1.79909 2.47623i
\(205\) 17.3111 10.9952i 1.20906 0.767940i
\(206\) −10.9738 + 24.6475i −0.764580 + 1.71728i
\(207\) −3.20579 0.858989i −0.222818 0.0597039i
\(208\) 14.4378 + 11.6915i 1.00108 + 0.810660i
\(209\) −1.48316 4.56471i −0.102593 0.315748i
\(210\) 10.6999 + 27.3845i 0.738366 + 1.88971i
\(211\) −1.38124 + 4.25101i −0.0950883 + 0.292652i −0.987277 0.159012i \(-0.949169\pi\)
0.892188 + 0.451664i \(0.149169\pi\)
\(212\) −13.2907 + 8.63111i −0.912812 + 0.592787i
\(213\) −1.31578 25.1066i −0.0901557 1.72027i
\(214\) −2.77707 13.0651i −0.189837 0.893112i
\(215\) 10.6912 + 6.31725i 0.729134 + 0.430833i
\(216\) 16.3679 5.31824i 1.11369 0.361861i
\(217\) 14.9891 11.2624i 1.01753 0.764544i
\(218\) 18.1287 + 18.1287i 1.22783 + 1.22783i
\(219\) 5.71396 0.600561i 0.386113 0.0405822i
\(220\) 16.9202 6.29991i 1.14076 0.424740i
\(221\) −3.09007 + 29.4000i −0.207861 + 1.97766i
\(222\) 1.88560 + 0.723813i 0.126553 + 0.0485792i
\(223\) 8.27155 + 16.2338i 0.553904 + 1.08710i 0.982960 + 0.183820i \(0.0588463\pi\)
−0.429056 + 0.903278i \(0.641154\pi\)
\(224\) −1.71027 1.65620i −0.114272 0.110659i
\(225\) 1.71290 + 5.65779i 0.114193 + 0.377186i
\(226\) −7.62235 + 13.2023i −0.507031 + 0.878203i
\(227\) −9.25783 6.01211i −0.614464 0.399037i 0.199546 0.979888i \(-0.436053\pi\)
−0.814010 + 0.580851i \(0.802720\pi\)
\(228\) 14.4074 11.6669i 0.954156 0.772660i
\(229\) 18.2114 8.10823i 1.20344 0.535807i 0.295677 0.955288i \(-0.404455\pi\)
0.907764 + 0.419481i \(0.137788\pi\)
\(230\) 2.23406 + 15.0891i 0.147309 + 0.994948i
\(231\) −4.17639 10.3785i −0.274787 0.682856i
\(232\) −20.9053 + 20.9053i −1.37250 + 1.37250i
\(233\) 2.95068 3.64378i 0.193305 0.238712i −0.671273 0.741210i \(-0.734252\pi\)
0.864578 + 0.502498i \(0.167586\pi\)
\(234\) 10.3820 11.5304i 0.678691 0.753763i
\(235\) 5.95147 + 0.686307i 0.388231 + 0.0447697i
\(236\) 0.114304 0.102919i 0.00744053 0.00669948i
\(237\) 7.43439 14.5908i 0.482916 0.947776i
\(238\) −6.76339 + 34.5378i −0.438406 + 2.23876i
\(239\) 15.3187 + 4.97734i 0.990884 + 0.321958i 0.759217 0.650838i \(-0.225582\pi\)
0.231667 + 0.972795i \(0.425582\pi\)
\(240\) 10.4076 + 11.7961i 0.671809 + 0.761432i
\(241\) −10.1665 9.15393i −0.654880 0.589657i 0.273236 0.961947i \(-0.411906\pi\)
−0.928116 + 0.372290i \(0.878573\pi\)
\(242\) 15.2566 5.85646i 0.980732 0.376468i
\(243\) −3.01484 11.2515i −0.193402 0.721786i
\(244\) −22.4969 + 16.3450i −1.44022 + 1.04638i
\(245\) −11.3091 10.8215i −0.722513 0.691358i
\(246\) −36.8735 26.7902i −2.35097 1.70808i
\(247\) −4.49261 + 11.7036i −0.285858 + 0.744685i
\(248\) 17.8684 27.5149i 1.13464 1.74720i
\(249\) −16.3802 + 9.45713i −1.03805 + 0.599321i
\(250\) 20.7314 17.5601i 1.31117 1.11060i
\(251\) 0.00533874i 0.000336978i 1.00000 0.000168489i \(5.36317e-5\pi\)
−1.00000 0.000168489i \(0.999946\pi\)
\(252\) 8.94541 8.31847i 0.563508 0.524015i
\(253\) −0.907976 5.73273i −0.0570839 0.360414i
\(254\) −0.113647 0.255255i −0.00713084 0.0160161i
\(255\) −6.72235 + 24.1123i −0.420970 + 1.50997i
\(256\) −28.3510 12.6227i −1.77194 0.788919i
\(257\) −10.2934 + 2.75812i −0.642087 + 0.172047i −0.565148 0.824989i \(-0.691181\pi\)
−0.0769383 + 0.997036i \(0.524514\pi\)
\(258\) 4.31743 27.2592i 0.268792 1.69708i
\(259\) −1.07277 + 0.0735145i −0.0666586 + 0.00456797i
\(260\) −44.7009 15.0245i −2.77223 0.931782i
\(261\) 5.05185 + 5.61065i 0.312702 + 0.347291i
\(262\) −10.9390 + 0.573290i −0.675815 + 0.0354180i
\(263\) 2.06625 0.108288i 0.127410 0.00667729i 0.0114758 0.999934i \(-0.496347\pi\)
0.115935 + 0.993257i \(0.463014\pi\)
\(264\) −13.0990 14.5480i −0.806190 0.895365i
\(265\) 5.40740 7.28688i 0.332174 0.447630i
\(266\) −6.56118 + 13.4050i −0.402292 + 0.821914i
\(267\) 0.769192 4.85649i 0.0470738 0.297212i
\(268\) −33.3016 + 8.92314i −2.03422 + 0.545068i
\(269\) −3.16339 1.40843i −0.192875 0.0858737i 0.308026 0.951378i \(-0.400332\pi\)
−0.500902 + 0.865504i \(0.666998\pi\)
\(270\) −15.8252 + 12.5528i −0.963093 + 0.763937i
\(271\) −1.32960 2.98633i −0.0807674 0.181406i 0.868648 0.495430i \(-0.164990\pi\)
−0.949415 + 0.314024i \(0.898323\pi\)
\(272\) 2.94577 + 18.5989i 0.178614 + 1.12772i
\(273\) −8.58216 + 27.9318i −0.519416 + 1.69051i
\(274\) 35.9116i 2.16950i
\(275\) −7.82072 + 6.76109i −0.471607 + 0.407709i
\(276\) 19.4155 11.2096i 1.16868 0.674737i
\(277\) 17.8069 27.4201i 1.06991 1.64752i 0.377506 0.926007i \(-0.376782\pi\)
0.692404 0.721510i \(-0.256552\pi\)
\(278\) 18.4223 47.9916i 1.10489 2.87835i
\(279\) −6.77800 4.92451i −0.405788 0.294822i
\(280\) −25.0877 10.9908i −1.49928 0.656824i
\(281\) −15.0878 + 10.9619i −0.900063 + 0.653934i −0.938482 0.345328i \(-0.887768\pi\)
0.0384191 + 0.999262i \(0.487768\pi\)
\(282\) −3.44609 12.8610i −0.205212 0.765861i
\(283\) 21.4785 8.24482i 1.27676 0.490104i 0.376892 0.926257i \(-0.376993\pi\)
0.899872 + 0.436153i \(0.143660\pi\)
\(284\) 35.6772 + 32.1239i 2.11705 + 1.90620i
\(285\) −5.40009 + 9.13901i −0.319874 + 0.541348i
\(286\) 25.8063 + 8.38498i 1.52596 + 0.495814i
\(287\) 23.8128 + 4.66316i 1.40563 + 0.275258i
\(288\) −0.482984 + 0.947910i −0.0284601 + 0.0558561i
\(289\) −9.63424 + 8.67470i −0.566720 + 0.510277i
\(290\) 14.4326 31.5554i 0.847514 1.85300i
\(291\) 22.8117 25.3349i 1.33724 1.48516i
\(292\) −6.90445 + 8.52628i −0.404052 + 0.498963i
\(293\) 6.36211 6.36211i 0.371678 0.371678i −0.496410 0.868088i \(-0.665349\pi\)
0.868088 + 0.496410i \(0.165349\pi\)
\(294\) −13.1213 + 32.2178i −0.765251 + 1.87898i
\(295\) −0.0407729 + 0.0780640i −0.00237389 + 0.00454506i
\(296\) −1.71892 + 0.765314i −0.0999104 + 0.0444830i
\(297\) 5.97319 4.83700i 0.346600 0.280671i
\(298\) 14.3190 + 9.29888i 0.829479 + 0.538670i
\(299\) −7.58009 + 13.1291i −0.438368 + 0.759276i
\(300\) −35.2063 18.8429i −2.03264 1.08789i
\(301\) 4.03035 + 14.1297i 0.232306 + 0.814424i
\(302\) 21.6131 + 42.4181i 1.24370 + 2.44089i
\(303\) −5.95514 2.28596i −0.342114 0.131325i
\(304\) −0.834713 + 7.94177i −0.0478741 + 0.455491i
\(305\) 8.80629 13.2655i 0.504247 0.759581i
\(306\) 15.6405 1.64389i 0.894110 0.0939747i
\(307\) −18.7776 18.7776i −1.07170 1.07170i −0.997223 0.0744731i \(-0.976273\pi\)
−0.0744731 0.997223i \(-0.523727\pi\)
\(308\) 19.6530 + 8.37452i 1.11983 + 0.477182i
\(309\) −21.5943 + 7.01642i −1.22846 + 0.399150i
\(310\) −8.38543 + 37.5816i −0.476260 + 2.13449i
\(311\) 0.220027 + 1.03515i 0.0124766 + 0.0586977i 0.983945 0.178469i \(-0.0571145\pi\)
−0.971469 + 0.237167i \(0.923781\pi\)
\(312\) 2.67603 + 51.0618i 0.151501 + 2.89080i
\(313\) −15.8425 + 10.2882i −0.895470 + 0.581525i −0.908266 0.418393i \(-0.862593\pi\)
0.0127962 + 0.999918i \(0.495927\pi\)
\(314\) 1.35374 4.16638i 0.0763960 0.235123i
\(315\) −3.13815 + 6.25095i −0.176815 + 0.352201i
\(316\) 9.66308 + 29.7399i 0.543591 + 1.67300i
\(317\) −22.4500 18.1797i −1.26092 1.02107i −0.998423 0.0561385i \(-0.982121\pi\)
−0.262496 0.964933i \(-0.584546\pi\)
\(318\) −19.4798 5.21959i −1.09237 0.292700i
\(319\) −5.37036 + 12.0620i −0.300682 + 0.675344i
\(320\) 20.2344 + 1.26529i 1.13114 + 0.0707318i
\(321\) 6.60719 9.09402i 0.368778 0.507579i
\(322\) −10.3727 + 14.7699i −0.578047 + 0.823094i
\(323\) −11.3219 + 5.76879i −0.629966 + 0.320984i
\(324\) 37.7059 + 21.7695i 2.09477 + 1.20942i
\(325\) 26.9884 0.868769i 1.49705 0.0481906i
\(326\) −1.59439 2.76157i −0.0883052 0.152949i
\(327\) −1.12921 + 21.5465i −0.0624452 + 1.19153i
\(328\) 41.9378 6.64229i 2.31563 0.366759i
\(329\) 4.54886 + 5.43648i 0.250787 + 0.299723i
\(330\) 20.3656 + 10.6370i 1.12109 + 0.585548i
\(331\) 0.186826 + 1.77753i 0.0102689 + 0.0977018i 0.998456 0.0555514i \(-0.0176917\pi\)
−0.988187 + 0.153253i \(0.951025\pi\)
\(332\) 9.34803 34.8873i 0.513040 1.91469i
\(333\) 0.172196 + 0.448586i 0.00943629 + 0.0245824i
\(334\) −0.464405 0.0987122i −0.0254111 0.00540129i
\(335\) 16.0869 11.4416i 0.878923 0.625123i
\(336\) −0.675491 + 18.6010i −0.0368510 + 1.01477i
\(337\) −12.9437 6.59514i −0.705088 0.359260i 0.0643976 0.997924i \(-0.479487\pi\)
−0.769486 + 0.638664i \(0.779487\pi\)
\(338\) −21.3948 32.9450i −1.16372 1.79197i
\(339\) −12.5491 + 2.66740i −0.681574 + 0.144873i
\(340\) −23.4810 41.6350i −1.27344 2.25797i
\(341\) 3.04630 14.3317i 0.164967 0.776107i
\(342\) 6.58708 + 1.04329i 0.356189 + 0.0564147i
\(343\) −0.892015 18.4988i −0.0481643 0.998839i
\(344\) 15.1127 + 20.8008i 0.814820 + 1.12150i
\(345\) −8.17883 + 9.89419i −0.440333 + 0.532685i
\(346\) 11.0446 + 1.16084i 0.593763 + 0.0624070i
\(347\) 2.69478 + 3.32777i 0.144663 + 0.178644i 0.844327 0.535828i \(-0.180000\pi\)
−0.699664 + 0.714472i \(0.746667\pi\)
\(348\) −50.9298 2.66912i −2.73012 0.143080i
\(349\) −9.54903 −0.511148 −0.255574 0.966789i \(-0.582264\pi\)
−0.255574 + 0.966789i \(0.582264\pi\)
\(350\) 32.0954 + 1.81466i 1.71557 + 0.0969977i
\(351\) −20.0755 −1.07155
\(352\) −1.85798 0.0973726i −0.0990306 0.00518998i
\(353\) 3.61094 + 4.45914i 0.192191 + 0.237336i 0.864128 0.503272i \(-0.167871\pi\)
−0.671937 + 0.740608i \(0.734537\pi\)
\(354\) 0.194663 + 0.0204599i 0.0103462 + 0.00108743i
\(355\) −25.5626 10.1097i −1.35672 0.536566i
\(356\) 5.51894 + 7.59616i 0.292503 + 0.402596i
\(357\) −25.4088 + 15.2191i −1.34478 + 0.805478i
\(358\) 39.1300 + 6.19758i 2.06808 + 0.327552i
\(359\) 2.36718 11.1367i 0.124935 0.587772i −0.870487 0.492192i \(-0.836196\pi\)
0.995422 0.0955806i \(-0.0304708\pi\)
\(360\) −1.40211 + 12.1587i −0.0738977 + 0.640821i
\(361\) 13.3140 2.82998i 0.700736 0.148946i
\(362\) 14.4643 + 22.2730i 0.760224 + 1.17064i
\(363\) 12.2540 + 6.24371i 0.643167 + 0.327710i
\(364\) −26.1272 49.3036i −1.36944 2.58421i
\(365\) 2.00144 5.95469i 0.104760 0.311683i
\(366\) −34.6141 7.35745i −1.80931 0.384580i
\(367\) 5.13732 + 13.3832i 0.268166 + 0.698596i 0.999856 + 0.0169586i \(0.00539834\pi\)
−0.731690 + 0.681637i \(0.761268\pi\)
\(368\) −2.49939 + 9.32784i −0.130290 + 0.486248i
\(369\) −1.13341 10.7837i −0.0590031 0.561377i
\(370\) 1.57724 1.54573i 0.0819971 0.0803588i
\(371\) 10.5761 1.84966i 0.549081 0.0960298i
\(372\) 55.8974 8.85327i 2.89814 0.459021i
\(373\) 1.32225 25.2300i 0.0684634 1.30636i −0.721160 0.692768i \(-0.756391\pi\)
0.789624 0.613591i \(-0.210276\pi\)
\(374\) 13.7517 + 23.8187i 0.711085 + 1.23164i
\(375\) 22.6565 + 3.07713i 1.16998 + 0.158902i
\(376\) 10.7421 + 6.20197i 0.553983 + 0.319842i
\(377\) 30.7280 15.6567i 1.58257 0.806360i
\(378\) −23.8062 2.11618i −1.22446 0.108844i
\(379\) −16.0800 + 22.1322i −0.825974 + 1.13686i 0.162685 + 0.986678i \(0.447985\pi\)
−0.988659 + 0.150178i \(0.952015\pi\)
\(380\) −5.04854 19.6317i −0.258985 1.00708i
\(381\) 0.0956418 0.214815i 0.00489988 0.0110053i
\(382\) −62.0693 16.6314i −3.17574 0.850937i
\(383\) −4.06720 3.29355i −0.207824 0.168293i 0.519757 0.854314i \(-0.326022\pi\)
−0.727581 + 0.686021i \(0.759356\pi\)
\(384\) −12.7865 39.3528i −0.652509 2.00821i
\(385\) −12.2190 0.567238i −0.622739 0.0289091i
\(386\) 9.65545 29.7164i 0.491449 1.51253i
\(387\) 5.50658 3.57601i 0.279915 0.181779i
\(388\) 3.40707 + 65.0108i 0.172968 + 3.30042i
\(389\) 3.49549 + 16.4450i 0.177228 + 0.833793i 0.973470 + 0.228815i \(0.0734849\pi\)
−0.796242 + 0.604978i \(0.793182\pi\)
\(390\) −23.8548 55.0675i −1.20793 2.78845i
\(391\) −14.6143 + 4.74848i −0.739078 + 0.240141i
\(392\) −12.5796 29.8667i −0.635367 1.50850i
\(393\) −6.51852 6.51852i −0.328816 0.328816i
\(394\) 30.9843 3.25658i 1.56097 0.164064i
\(395\) −11.1271 14.0279i −0.559864 0.705819i
\(396\) 0.997850 9.49391i 0.0501439 0.477087i
\(397\) 10.5952 + 4.06711i 0.531757 + 0.204122i 0.609406 0.792858i \(-0.291408\pi\)
−0.0776488 + 0.996981i \(0.524741\pi\)
\(398\) −1.80224 3.53709i −0.0903380 0.177298i
\(399\) −12.0783 + 3.44521i −0.604673 + 0.172476i
\(400\) 16.4624 4.98400i 0.823119 0.249200i
\(401\) −4.66262 + 8.07589i −0.232840 + 0.403291i −0.958643 0.284612i \(-0.908135\pi\)
0.725803 + 0.687903i \(0.241469\pi\)
\(402\) −36.7955 23.8953i −1.83519 1.19179i
\(403\) −29.7413 + 24.0840i −1.48152 + 1.19971i
\(404\) 11.1277 4.95436i 0.553623 0.246489i
\(405\) −24.5825 4.14817i −1.22151 0.206124i
\(406\) 38.0886 15.3271i 1.89031 0.760674i
\(407\) −0.594196 + 0.594196i −0.0294532 + 0.0294532i
\(408\) −32.6160 + 40.2775i −1.61473 + 1.99403i
\(409\) 17.4737 19.4066i 0.864021 0.959592i −0.135493 0.990778i \(-0.543262\pi\)
0.999514 + 0.0311859i \(0.00992838\pi\)
\(410\) −43.4077 + 24.4808i −2.14375 + 1.20902i
\(411\) 22.4594 20.2225i 1.10784 0.997504i
\(412\) 19.6841 38.6321i 0.969764 1.90327i
\(413\) −0.0985763 + 0.0337891i −0.00485062 + 0.00166265i
\(414\) 7.67033 + 2.49224i 0.376976 + 0.122487i
\(415\) 1.95410 + 20.5883i 0.0959228 + 1.01064i
\(416\) 3.61137 + 3.25170i 0.177062 + 0.159428i
\(417\) 40.3883 15.5036i 1.97782 0.759215i
\(418\) 3.01870 + 11.2659i 0.147649 + 0.551035i
\(419\) −17.0065 + 12.3559i −0.830820 + 0.603626i −0.919791 0.392408i \(-0.871642\pi\)
0.0889711 + 0.996034i \(0.471642\pi\)
\(420\) −14.8684 44.8473i −0.725504 2.18833i
\(421\) 8.22355 + 5.97476i 0.400791 + 0.291192i 0.769863 0.638209i \(-0.220324\pi\)
−0.369072 + 0.929401i \(0.620324\pi\)
\(422\) 3.89253 10.1404i 0.189485 0.493626i
\(423\) 1.72519 2.65656i 0.0838815 0.129166i
\(424\) 16.2704 9.39375i 0.790163 0.456201i
\(425\) 20.9184 + 17.6501i 1.01469 + 0.856153i
\(426\) 61.0941i 2.96002i
\(427\) 18.3627 4.21245i 0.888635 0.203855i
\(428\) 3.35788 + 21.2008i 0.162309 + 1.02478i
\(429\) 9.28801 + 20.8612i 0.448429 + 1.00719i
\(430\) −25.1412 16.6899i −1.21242 0.804860i
\(431\) −10.3970 4.62906i −0.500807 0.222974i 0.140755 0.990044i \(-0.455047\pi\)
−0.641563 + 0.767071i \(0.721714\pi\)
\(432\) −12.3522 + 3.30976i −0.594294 + 0.159241i
\(433\) −1.69255 + 10.6864i −0.0813389 + 0.513553i 0.913057 + 0.407832i \(0.133715\pi\)
−0.994396 + 0.105721i \(0.966285\pi\)
\(434\) −37.8069 + 25.4246i −1.81479 + 1.22042i
\(435\) 27.8623 8.74320i 1.33590 0.419204i
\(436\) −27.5688 30.6183i −1.32031 1.46635i
\(437\) −6.50748 + 0.341043i −0.311295 + 0.0163143i
\(438\) −13.9426 + 0.730700i −0.666203 + 0.0349142i
\(439\) −3.84686 4.27237i −0.183600 0.203909i 0.644318 0.764758i \(-0.277141\pi\)
−0.827918 + 0.560849i \(0.810475\pi\)
\(440\) −20.4227 + 6.40865i −0.973614 + 0.305520i
\(441\) −7.78470 + 2.80888i −0.370700 + 0.133756i
\(442\) 11.2378 70.9529i 0.534529 3.37488i
\(443\) 25.7790 6.90746i 1.22480 0.328183i 0.412246 0.911073i \(-0.364745\pi\)
0.812552 + 0.582889i \(0.198078\pi\)
\(444\) −2.96519 1.32019i −0.140721 0.0626532i
\(445\) −4.47914 2.97347i −0.212332 0.140956i
\(446\) −18.0082 40.4470i −0.852712 1.91522i
\(447\) 2.24773 + 14.1916i 0.106314 + 0.671240i
\(448\) 16.3356 + 17.5668i 0.771787 + 0.829954i
\(449\) 36.5758i 1.72612i −0.505103 0.863059i \(-0.668546\pi\)
0.505103 0.863059i \(-0.331454\pi\)
\(450\) −3.43719 13.9477i −0.162031 0.657503i
\(451\) 16.4223 9.48143i 0.773297 0.446463i
\(452\) 13.3429 20.5463i 0.627600 0.966419i
\(453\) −14.3579 + 37.4035i −0.674591 + 1.75737i
\(454\) 21.7016 + 15.7671i 1.01851 + 0.739989i
\(455\) 23.8705 + 21.2364i 1.11907 + 0.995577i
\(456\) −17.7809 + 12.9186i −0.832665 + 0.604967i
\(457\) 4.98432 + 18.6017i 0.233157 + 0.870152i 0.978971 + 0.203999i \(0.0653938\pi\)
−0.745815 + 0.666154i \(0.767940\pi\)
\(458\) −45.2252 + 17.3603i −2.11324 + 0.811195i
\(459\) −15.1220 13.6159i −0.705833 0.635535i
\(460\) −2.31620 24.4034i −0.107993 1.13781i
\(461\) −1.32261 0.429741i −0.0615999 0.0200150i 0.278055 0.960565i \(-0.410310\pi\)
−0.339655 + 0.940550i \(0.610310\pi\)
\(462\) 8.81503 + 25.7170i 0.410112 + 1.19646i
\(463\) 0.899035 1.76446i 0.0417817 0.0820012i −0.869172 0.494510i \(-0.835347\pi\)
0.910954 + 0.412509i \(0.135347\pi\)
\(464\) 16.3252 14.6993i 0.757880 0.682398i
\(465\) −28.2258 + 15.9186i −1.30894 + 0.738209i
\(466\) −7.62390 + 8.46720i −0.353170 + 0.392235i
\(467\) −18.4577 + 22.7933i −0.854120 + 1.05475i 0.143757 + 0.989613i \(0.454082\pi\)
−0.997876 + 0.0651367i \(0.979252\pi\)
\(468\) −17.6311 + 17.6311i −0.814996 + 0.814996i
\(469\) 23.1258 + 3.28296i 1.06785 + 0.151593i
\(470\) −14.3553 2.42238i −0.662161 0.111736i
\(471\) 3.36801 1.49953i 0.155190 0.0690949i
\(472\) −0.141710 + 0.114754i −0.00652273 + 0.00528200i
\(473\) 9.63012 + 6.25388i 0.442794 + 0.287554i
\(474\) −19.8969 + 34.4624i −0.913895 + 1.58291i
\(475\) 6.63134 + 9.52573i 0.304267 + 0.437070i
\(476\) 13.7589 54.8585i 0.630639 2.51443i
\(477\) −2.17813 4.27482i −0.0997296 0.195730i
\(478\) −36.5413 14.0269i −1.67136 0.641574i
\(479\) −0.415418 + 3.95244i −0.0189809 + 0.180592i −0.999905 0.0138009i \(-0.995607\pi\)
0.980924 + 0.194393i \(0.0622736\pi\)
\(480\) 2.55718 + 3.22383i 0.116719 + 0.147147i
\(481\) 2.18284 0.229426i 0.0995288 0.0104609i
\(482\) 23.5071 + 23.5071i 1.07072 + 1.07072i
\(483\) −15.0783 + 1.83007i −0.686085 + 0.0832712i
\(484\) −24.9768 + 8.11545i −1.13531 + 0.368884i
\(485\) −14.8170 34.2042i −0.672805 1.55313i
\(486\) 5.88523 + 27.6878i 0.266959 + 1.25595i
\(487\) 0.308672 + 5.88982i 0.0139873 + 0.266893i 0.996667 + 0.0815800i \(0.0259966\pi\)
−0.982680 + 0.185313i \(0.940670\pi\)
\(488\) 27.6483 17.9550i 1.25158 0.812786i
\(489\) 0.829272 2.55224i 0.0375010 0.115416i
\(490\) 26.0679 + 27.6990i 1.17763 + 1.25131i
\(491\) −0.371409 1.14308i −0.0167615 0.0515864i 0.942326 0.334697i \(-0.108634\pi\)
−0.959087 + 0.283110i \(0.908634\pi\)
\(492\) 56.9224 + 46.0949i 2.56626 + 2.07812i
\(493\) 33.7648 + 9.04726i 1.52069 + 0.407468i
\(494\) 12.3908 27.8302i 0.557488 1.25214i
\(495\) 1.36138 + 5.29382i 0.0611893 + 0.237940i
\(496\) −14.3288 + 19.7219i −0.643381 + 0.885537i
\(497\) −13.7049 29.4973i −0.614747 1.32314i
\(498\) 40.9531 20.8666i 1.83515 0.935057i
\(499\) 13.6136 + 7.85984i 0.609430 + 0.351855i 0.772742 0.634720i \(-0.218884\pi\)
−0.163312 + 0.986574i \(0.552218\pi\)
\(500\) −34.7472 + 26.4373i −1.55394 + 1.18231i
\(501\) −0.199780 0.346029i −0.00892551 0.0154594i
\(502\) 0.000678977 0.0129557i 3.03042e−5 0.000578239i
\(503\) −21.0385 + 3.33217i −0.938061 + 0.148574i −0.606701 0.794930i \(-0.707507\pi\)
−0.331360 + 0.943504i \(0.607507\pi\)
\(504\) −11.1066 + 9.29323i −0.494728 + 0.413953i
\(505\) −4.98129 + 4.88177i −0.221665 + 0.217236i
\(506\) 1.47432 + 14.0273i 0.0655417 + 0.623587i
\(507\) 8.55628 31.9325i 0.379998 1.41817i
\(508\) 0.160915 + 0.419199i 0.00713947 + 0.0185990i
\(509\) 35.8127 + 7.61222i 1.58737 + 0.337406i 0.915202 0.402994i \(-0.132031\pi\)
0.672167 + 0.740400i \(0.265364\pi\)
\(510\) 19.3799 57.6590i 0.858156 2.55318i
\(511\) 6.56782 3.48045i 0.290543 0.153966i
\(512\) 31.1392 + 15.8662i 1.37617 + 0.701194i
\(513\) −4.69980 7.23706i −0.207501 0.319524i
\(514\) 25.3301 5.38409i 1.11726 0.237482i
\(515\) −2.84405 + 24.6629i −0.125324 + 1.08678i
\(516\) −9.22139 + 43.3832i −0.405949 + 1.90984i
\(517\) 5.47139 + 0.866584i 0.240632 + 0.0381123i
\(518\) 2.61267 0.0419656i 0.114794 0.00184386i
\(519\) 5.49345 + 7.56109i 0.241136 + 0.331895i
\(520\) 51.9893 + 20.5611i 2.27988 + 0.901663i
\(521\) −21.6306 2.27346i −0.947653 0.0996023i −0.381924 0.924194i \(-0.624738\pi\)
−0.565729 + 0.824591i \(0.691405\pi\)
\(522\) −11.5459 14.2580i −0.505351 0.624056i
\(523\) −8.55839 0.448526i −0.374232 0.0196127i −0.135707 0.990749i \(-0.543331\pi\)
−0.238525 + 0.971136i \(0.576664\pi\)
\(524\) 17.6035 0.769012
\(525\) 16.9386 + 21.0946i 0.739263 + 0.920643i
\(526\) −5.02799 −0.219231
\(527\) −38.7373 2.03014i −1.68742 0.0884341i
\(528\) 9.15407 + 11.3043i 0.398380 + 0.491958i
\(529\) 15.0369 + 1.58044i 0.653777 + 0.0687147i
\(530\) −14.0490 + 16.9956i −0.610251 + 0.738240i
\(531\) 0.0273706 + 0.0376724i 0.00118778 + 0.00163484i
\(532\) 11.6570 20.9609i 0.505395 0.908771i
\(533\) −48.9200 7.74816i −2.11896 0.335610i
\(534\) −2.48426 + 11.6875i −0.107505 + 0.505770i
\(535\) −6.03764 10.7055i −0.261030 0.462840i
\(536\) 39.9795 8.49790i 1.72685 0.367053i
\(537\) 18.1589 + 27.9622i 0.783613 + 1.20666i
\(538\) 7.49757 + 3.82020i 0.323243 + 0.164701i
\(539\) −10.0250 10.4392i −0.431807 0.449648i
\(540\) 26.4525 18.8140i 1.13834 0.809628i
\(541\) 29.8765 + 6.35044i 1.28449 + 0.273027i 0.799062 0.601249i \(-0.205330\pi\)
0.485429 + 0.874276i \(0.338663\pi\)
\(542\) 2.84677 + 7.41610i 0.122279 + 0.318549i
\(543\) −5.78460 + 21.5884i −0.248241 + 0.926448i
\(544\) 0.514875 + 4.89871i 0.0220751 + 0.210030i
\(545\) 20.9108 + 10.9218i 0.895722 + 0.467837i
\(546\) 24.3789 66.6914i 1.04332 2.85413i
\(547\) 24.3901 3.86301i 1.04285 0.165171i 0.388564 0.921422i \(-0.372971\pi\)
0.654281 + 0.756251i \(0.272971\pi\)
\(548\) −3.02036 + 57.6320i −0.129023 + 2.46192i
\(549\) −4.20935 7.29081i −0.179651 0.311164i
\(550\) 19.8386 15.4127i 0.845922 0.657199i
\(551\) 12.8377 + 7.41185i 0.546905 + 0.315756i
\(552\) −23.6816 + 12.0664i −1.00796 + 0.513579i
\(553\) 1.87583 21.1024i 0.0797685 0.897366i
\(554\) −46.6996 + 64.2766i −1.98408 + 2.73085i
\(555\) 1.85489 + 0.115989i 0.0787357 + 0.00492346i
\(556\) −33.6009 + 75.4689i −1.42500 + 3.20059i
\(557\) 10.8276 + 2.90126i 0.458782 + 0.122930i 0.480806 0.876827i \(-0.340344\pi\)
−0.0220239 + 0.999757i \(0.507011\pi\)
\(558\) 15.8221 + 12.8125i 0.669801 + 0.542394i
\(559\) −9.26799 28.5239i −0.391994 1.20643i
\(560\) 18.1883 + 9.13103i 0.768596 + 0.385856i
\(561\) −7.15253 + 22.0132i −0.301980 + 0.929400i
\(562\) 38.0081 24.6828i 1.60328 1.04118i
\(563\) 1.91065 + 36.4575i 0.0805245 + 1.53650i 0.678270 + 0.734813i \(0.262730\pi\)
−0.597746 + 0.801686i \(0.703937\pi\)
\(564\) 4.44871 + 20.9295i 0.187324 + 0.881292i
\(565\) −3.05483 + 13.6911i −0.128518 + 0.575987i
\(566\) −53.1710 + 17.2763i −2.23494 + 0.726178i
\(567\) −17.7193 23.5825i −0.744140 0.990374i
\(568\) −40.2451 40.2451i −1.68865 1.68865i
\(569\) −2.14347 + 0.225288i −0.0898589 + 0.00944455i −0.149351 0.988784i \(-0.547718\pi\)
0.0594923 + 0.998229i \(0.481052\pi\)
\(570\) 14.2668 21.4911i 0.597572 0.900163i
\(571\) −1.57584 + 14.9931i −0.0659469 + 0.627443i 0.910770 + 0.412913i \(0.135489\pi\)
−0.976717 + 0.214530i \(0.931178\pi\)
\(572\) −40.7095 15.6269i −1.70215 0.653394i
\(573\) −24.5510 48.1841i −1.02563 2.01292i
\(574\) −57.1942 14.3447i −2.38724 0.598737i
\(575\) 6.11852 + 12.6322i 0.255160 + 0.526797i
\(576\) 5.35973 9.28333i 0.223322 0.386805i
\(577\) −5.05336 3.28169i −0.210374 0.136618i 0.435151 0.900357i \(-0.356695\pi\)
−0.645525 + 0.763739i \(0.723362\pi\)
\(578\) 24.4829 19.8259i 1.01835 0.824647i
\(579\) 24.0221 10.6953i 0.998322 0.444482i
\(580\) −25.8159 + 49.4272i −1.07195 + 2.05235i
\(581\) −15.0920 + 19.2615i −0.626122 + 0.799103i
\(582\) −58.5798 + 58.5798i −2.42821 + 2.42821i
\(583\) 5.28030 6.52063i 0.218688 0.270057i
\(584\) 8.70320 9.66589i 0.360141 0.399977i
\(585\) 5.93829 12.9835i 0.245518 0.536800i
\(586\) −16.2482 + 14.6300i −0.671208 + 0.604359i
\(587\) −12.1632 + 23.8716i −0.502028 + 0.985284i 0.491412 + 0.870927i \(0.336481\pi\)
−0.993440 + 0.114357i \(0.963519\pi\)
\(588\) 23.7672 50.6005i 0.980142 2.08673i
\(589\) −15.6447 5.08327i −0.644629 0.209453i
\(590\) 0.108873 0.184254i 0.00448223 0.00758564i
\(591\) 19.4846 + 17.5440i 0.801488 + 0.721663i
\(592\) 1.30524 0.501037i 0.0536452 0.0205925i
\(593\) −7.52966 28.1011i −0.309206 1.15397i −0.929264 0.369416i \(-0.879558\pi\)
0.620058 0.784556i \(-0.287109\pi\)
\(594\) −15.1105 + 10.9784i −0.619990 + 0.450449i
\(595\) 3.57732 + 32.1861i 0.146656 + 1.31950i
\(596\) −22.1975 16.1274i −0.909245 0.660605i
\(597\) 1.19725 3.11894i 0.0490001 0.127650i
\(598\) 20.0646 30.8967i 0.820501 1.26346i
\(599\) 16.2419 9.37728i 0.663627 0.383145i −0.130031 0.991510i \(-0.541508\pi\)
0.793658 + 0.608365i \(0.208174\pi\)
\(600\) 40.5117 + 24.4925i 1.65388 + 0.999902i
\(601\) 1.56485i 0.0638318i 0.999491 + 0.0319159i \(0.0101609\pi\)
−0.999491 + 0.0319159i \(0.989839\pi\)
\(602\) −7.98356 34.8016i −0.325385 1.41841i
\(603\) −1.63280 10.3091i −0.0664927 0.419819i
\(604\) −31.1178 69.8916i −1.26616 2.84385i
\(605\) 11.7812 9.34499i 0.478974 0.379928i
\(606\) 14.1608 + 6.30478i 0.575242 + 0.256114i
\(607\) −3.43453 + 0.920280i −0.139403 + 0.0373530i −0.327846 0.944731i \(-0.606323\pi\)
0.188443 + 0.982084i \(0.439656\pi\)
\(608\) −0.326765 + 2.06311i −0.0132521 + 0.0836703i
\(609\) 31.0342 + 15.1899i 1.25757 + 0.615526i
\(610\) −23.0576 + 31.0718i −0.933574 + 1.25806i
\(611\) −9.68170 10.7526i −0.391680 0.435004i
\(612\) −25.2386 + 1.32270i −1.02021 + 0.0534670i
\(613\) 0.922284 0.0483349i 0.0372507 0.00195223i −0.0337015 0.999432i \(-0.510730\pi\)
0.0709522 + 0.997480i \(0.477396\pi\)
\(614\) 43.1801 + 47.9563i 1.74261 + 1.93536i
\(615\) −39.7542 13.3619i −1.60304 0.538803i
\(616\) −22.7476 11.1340i −0.916528 0.448601i
\(617\) −6.94866 + 43.8721i −0.279743 + 1.76622i 0.302442 + 0.953168i \(0.402198\pi\)
−0.582184 + 0.813057i \(0.697802\pi\)
\(618\) 53.2959 14.2806i 2.14388 0.574450i
\(619\) −4.37292 1.94695i −0.175763 0.0782546i 0.316969 0.948436i \(-0.397335\pi\)
−0.492732 + 0.870181i \(0.664002\pi\)
\(620\) 16.6180 59.6068i 0.667395 2.39387i
\(621\) −4.24442 9.53313i −0.170323 0.382551i
\(622\) −0.402296 2.54000i −0.0161306 0.101845i
\(623\) −1.42235 6.20023i −0.0569851 0.248407i
\(624\) 37.9931i 1.52094i
\(625\) 13.3634 21.1286i 0.534537 0.845145i
\(626\) 39.7538 22.9519i 1.58888 0.917342i
\(627\) −5.34592 + 8.23199i −0.213495 + 0.328754i
\(628\) −2.52294 + 6.57248i −0.100676 + 0.262270i
\(629\) 1.79984 + 1.30766i 0.0717642 + 0.0521397i
\(630\) 8.41042 14.7702i 0.335079 0.588461i
\(631\) 6.66704 4.84388i 0.265410 0.192832i −0.447118 0.894475i \(-0.647550\pi\)
0.712529 + 0.701643i \(0.247550\pi\)
\(632\) −9.59490 35.8087i −0.381665 1.42439i
\(633\) 8.53384 3.27583i 0.339190 0.130203i
\(634\) 52.1680 + 46.9723i 2.07186 + 1.86551i
\(635\) −0.170101 0.192793i −0.00675025 0.00765077i
\(636\) 30.8227 + 10.0149i 1.22220 + 0.397117i
\(637\) 3.18990 + 37.6686i 0.126389 + 1.49248i
\(638\) 14.5664 28.5882i 0.576691 1.13182i
\(639\) −10.8011 + 9.72539i −0.427286 + 0.384730i
\(640\) −44.9448 5.18291i −1.77660 0.204872i
\(641\) −26.1981 + 29.0960i −1.03476 + 1.14922i −0.0461221 + 0.998936i \(0.514686\pi\)
−0.988642 + 0.150287i \(0.951980\pi\)
\(642\) −17.1904 + 21.2284i −0.678452 + 0.837818i
\(643\) 27.4043 27.4043i 1.08072 1.08072i 0.0842787 0.996442i \(-0.473141\pi\)
0.996442 0.0842787i \(-0.0268586\pi\)
\(644\) 17.8886 22.8308i 0.704909 0.899658i
\(645\) −3.71948 25.1219i −0.146455 0.989175i
\(646\) 28.2088 12.5594i 1.10986 0.494141i
\(647\) −14.1821 + 11.4845i −0.557557 + 0.451501i −0.866214 0.499673i \(-0.833454\pi\)
0.308657 + 0.951173i \(0.400120\pi\)
\(648\) −43.2894 28.1125i −1.70057 1.10436i
\(649\) −0.0407179 + 0.0705255i −0.00159832 + 0.00276837i
\(650\) −65.6041 1.32411i −2.57320 0.0519358i
\(651\) −37.1905 9.32766i −1.45761 0.365580i
\(652\) 2.32646 + 4.56594i 0.0911113 + 0.178816i
\(653\) −14.3960 5.52612i −0.563361 0.216254i 0.0599863 0.998199i \(-0.480894\pi\)
−0.623347 + 0.781945i \(0.714228\pi\)
\(654\) 5.48055 52.1439i 0.214306 2.03899i
\(655\) −9.44607 + 3.51707i −0.369089 + 0.137423i
\(656\) −31.3772 + 3.29787i −1.22507 + 0.128760i
\(657\) −2.34866 2.34866i −0.0916301 0.0916301i
\(658\) −10.3474 13.7714i −0.403385 0.536864i
\(659\) −18.2922 + 5.94351i −0.712564 + 0.231526i −0.642796 0.766037i \(-0.722226\pi\)
−0.0697679 + 0.997563i \(0.522226\pi\)
\(660\) −31.7888 18.7834i −1.23738 0.731144i
\(661\) −6.95450 32.7184i −0.270499 1.27260i −0.878147 0.478391i \(-0.841220\pi\)
0.607648 0.794206i \(-0.292113\pi\)
\(662\) −0.227310 4.33733i −0.00883466 0.168575i
\(663\) 50.7028 32.9268i 1.96913 1.27877i
\(664\) −13.2318 + 40.7231i −0.513491 + 1.58036i
\(665\) −2.06732 + 13.5767i −0.0801671 + 0.526481i
\(666\) −0.360822 1.11050i −0.0139816 0.0430308i
\(667\) 13.9314 + 11.2814i 0.539425 + 0.436818i
\(668\) 0.736988 + 0.197475i 0.0285149 + 0.00764055i
\(669\) 15.1551 34.0390i 0.585932 1.31602i
\(670\) −40.4938 + 25.7198i −1.56441 + 0.993643i
\(671\) 8.65394 11.9111i 0.334082 0.459824i
\(672\) −0.431096 + 4.84968i −0.0166299 + 0.187080i
\(673\) 6.40269 3.26233i 0.246806 0.125754i −0.326212 0.945296i \(-0.605772\pi\)
0.573018 + 0.819543i \(0.305772\pi\)
\(674\) 30.5721 + 17.6508i 1.17759 + 0.679883i
\(675\) −10.4356 + 15.3807i −0.401665 + 0.592004i
\(676\) 31.5641 + 54.6706i 1.21400 + 2.10271i
\(677\) 1.93963 37.0104i 0.0745462 1.42243i −0.663752 0.747952i \(-0.731037\pi\)
0.738299 0.674474i \(-0.235630\pi\)
\(678\) 30.7925 4.87706i 1.18258 0.187302i
\(679\) 15.1425 41.4242i 0.581117 1.58972i
\(680\) 25.2160 + 50.7486i 0.966988 + 1.94612i
\(681\) 2.35971 + 22.4512i 0.0904243 + 0.860330i
\(682\) −9.21525 + 34.3918i −0.352870 + 1.31693i
\(683\) −3.23434 8.42575i −0.123759 0.322402i 0.857678 0.514186i \(-0.171906\pi\)
−0.981437 + 0.191784i \(0.938573\pi\)
\(684\) −10.4834 2.22831i −0.400843 0.0852017i
\(685\) −9.89378 31.5289i −0.378022 1.20466i
\(686\) −0.187983 + 45.0049i −0.00717723 + 1.71829i
\(687\) −36.3245 18.5083i −1.38587 0.706134i
\(688\) −10.4051 16.0224i −0.396690 0.610848i
\(689\) −21.4365 + 4.55647i −0.816666 + 0.173588i
\(690\) 21.1061 22.9703i 0.803496 0.874465i
\(691\) 6.16559 29.0068i 0.234550 1.10347i −0.690413 0.723416i \(-0.742571\pi\)
0.924963 0.380057i \(-0.124096\pi\)
\(692\) −17.6271 2.79186i −0.670082 0.106131i
\(693\) −3.14340 + 5.65227i −0.119408 + 0.214712i
\(694\) −6.11626 8.41831i −0.232170 0.319555i
\(695\) 2.95212 47.2101i 0.111980 1.79078i
\(696\) 60.1302 + 6.31994i 2.27923 + 0.239557i
\(697\) −31.5941 39.0155i −1.19671 1.47782i
\(698\) 23.1729 + 1.21444i 0.877107 + 0.0459672i
\(699\) −9.58862 −0.362675
\(700\) −51.3550 5.61162i −1.94104 0.212099i
\(701\) −14.4601 −0.546149 −0.273075 0.961993i \(-0.588041\pi\)
−0.273075 + 0.961993i \(0.588041\pi\)
\(702\) 48.7178 + 2.55319i 1.83873 + 0.0963640i
\(703\) 0.593722 + 0.733185i 0.0223926 + 0.0276526i
\(704\) 18.6439 + 1.95956i 0.702670 + 0.0738536i
\(705\) −6.56878 10.3420i −0.247395 0.389503i
\(706\) −8.19565 11.2803i −0.308448 0.424542i
\(707\) −8.25138 + 0.132537i −0.310325 + 0.00498456i
\(708\) −0.310680 0.0492068i −0.0116761 0.00184931i
\(709\) −4.65117 + 21.8820i −0.174678 + 0.821797i 0.800318 + 0.599576i \(0.204664\pi\)
−0.974996 + 0.222221i \(0.928669\pi\)
\(710\) 60.7478 + 27.7845i 2.27982 + 1.04273i
\(711\) −9.26012 + 1.96830i −0.347282 + 0.0738170i
\(712\) −6.06257 9.33554i −0.227204 0.349864i
\(713\) −17.7246 9.03114i −0.663792 0.338219i
\(714\) 63.5959 33.7010i 2.38002 1.26123i
\(715\) 24.9670 + 0.251933i 0.933712 + 0.00942174i
\(716\) −62.2757 13.2371i −2.32735 0.494694i
\(717\) −11.8046 30.7520i −0.440851 1.14846i
\(718\) −7.16085 + 26.7247i −0.267241 + 0.997356i
\(719\) −1.98137 18.8514i −0.0738925 0.703040i −0.967273 0.253739i \(-0.918340\pi\)
0.893380 0.449301i \(-0.148327\pi\)
\(720\) 1.51323 8.96755i 0.0563947 0.334201i
\(721\) −22.5287 + 18.8505i −0.839014 + 0.702028i
\(722\) −32.6693 + 5.17431i −1.21583 + 0.192568i
\(723\) −1.46421 + 27.9388i −0.0544546 + 1.03906i
\(724\) −21.3394 36.9609i −0.793071 1.37364i
\(725\) 3.97763 31.6806i 0.147725 1.17659i
\(726\) −28.9430 16.7102i −1.07417 0.620175i
\(727\) −12.3162 + 6.27543i −0.456783 + 0.232743i −0.667214 0.744866i \(-0.732513\pi\)
0.210431 + 0.977609i \(0.432513\pi\)
\(728\) 27.8730 + 59.9917i 1.03304 + 2.22344i
\(729\) 5.65765 7.78708i 0.209543 0.288411i
\(730\) −5.61427 + 14.1959i −0.207794 + 0.525412i
\(731\) 12.3647 27.7716i 0.457326 1.02717i
\(732\) 54.9308 + 14.7187i 2.03030 + 0.544018i
\(733\) 8.73375 + 7.07245i 0.322588 + 0.261227i 0.776911 0.629610i \(-0.216785\pi\)
−0.454323 + 0.890837i \(0.650119\pi\)
\(734\) −10.7648 33.1307i −0.397336 1.22287i
\(735\) −2.64385 + 31.9009i −0.0975200 + 1.17668i
\(736\) −0.780585 + 2.40239i −0.0287728 + 0.0885534i
\(737\) 15.3088 9.94167i 0.563908 0.366206i
\(738\) 1.37902 + 26.3132i 0.0507624 + 0.968604i
\(739\) 2.04019 + 9.59835i 0.0750497 + 0.353081i 0.999609 0.0279568i \(-0.00890010\pi\)
−0.924559 + 0.381038i \(0.875567\pi\)
\(740\) −2.66121 + 2.34798i −0.0978281 + 0.0863135i
\(741\) 24.3827 7.92243i 0.895722 0.291038i
\(742\) −25.9004 + 3.14357i −0.950835 + 0.115404i
\(743\) −5.96596 5.96596i −0.218870 0.218870i 0.589152 0.808022i \(-0.299462\pi\)
−0.808022 + 0.589152i \(0.799462\pi\)
\(744\) −66.7263 + 7.01322i −2.44630 + 0.257117i
\(745\) 15.1334 + 4.21909i 0.554445 + 0.154576i
\(746\) −6.41747 + 61.0581i −0.234960 + 2.23550i
\(747\) 10.2083 + 3.91861i 0.373503 + 0.143374i
\(748\) −20.0659 39.3816i −0.733682 1.43993i
\(749\) 3.53781 14.1057i 0.129269 0.515410i
\(750\) −54.5897 10.3488i −1.99334 0.377884i
\(751\) −9.24200 + 16.0076i −0.337245 + 0.584126i −0.983914 0.178645i \(-0.942829\pi\)
0.646668 + 0.762771i \(0.276162\pi\)
\(752\) −7.72975 5.01976i −0.281875 0.183052i
\(753\) 0.00848492 0.00687095i 0.000309208 0.000250391i
\(754\) −76.5596 + 34.0865i −2.78813 + 1.24136i
\(755\) 30.6618 + 31.2869i 1.11590 + 1.13865i
\(756\) 38.0269 + 5.39834i 1.38303 + 0.196336i
\(757\) 16.1216 16.1216i 0.585951 0.585951i −0.350581 0.936532i \(-0.614016\pi\)
0.936532 + 0.350581i \(0.114016\pi\)
\(758\) 41.8365 51.6638i 1.51957 1.87651i
\(759\) −7.94254 + 8.82108i −0.288296 + 0.320185i
\(760\) 4.75892 + 23.5552i 0.172624 + 0.854437i
\(761\) 12.2468 11.0270i 0.443945 0.399730i −0.416612 0.909085i \(-0.636783\pi\)
0.860557 + 0.509355i \(0.170116\pi\)
\(762\) −0.259416 + 0.509133i −0.00939767 + 0.0184440i
\(763\) 9.05101 + 26.4054i 0.327669 + 0.955940i
\(764\) 98.2118 + 31.9110i 3.55318 + 1.15450i
\(765\) 13.2789 5.75229i 0.480098 0.207975i
\(766\) 9.45111 + 8.50981i 0.341482 + 0.307472i
\(767\) 0.198578 0.0762268i 0.00717022 0.00275239i
\(768\) 16.4264 + 61.3040i 0.592736 + 2.21212i
\(769\) 26.4586 19.2233i 0.954122 0.693210i 0.00234391 0.999997i \(-0.499254\pi\)
0.951778 + 0.306787i \(0.0992539\pi\)
\(770\) 29.5801 + 2.93054i 1.06599 + 0.105609i
\(771\) 17.6312 + 12.8098i 0.634970 + 0.461333i
\(772\) −17.9947 + 46.8777i −0.647642 +