Properties

Label 225.2.q.a.16.13
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.13
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.217479 + 0.0968278i) q^{2} +(-1.50542 + 0.856567i) q^{3} +(-1.30034 + 1.44417i) q^{4} +(1.93124 - 1.12708i) q^{5} +(0.244458 - 0.332052i) q^{6} +(-1.58050 + 2.73751i) q^{7} +(0.290090 - 0.892804i) q^{8} +(1.53259 - 2.57899i) q^{9} +O(q^{10})\) \(q+(-0.217479 + 0.0968278i) q^{2} +(-1.50542 + 0.856567i) q^{3} +(-1.30034 + 1.44417i) q^{4} +(1.93124 - 1.12708i) q^{5} +(0.244458 - 0.332052i) q^{6} +(-1.58050 + 2.73751i) q^{7} +(0.290090 - 0.892804i) q^{8} +(1.53259 - 2.57899i) q^{9} +(-0.310871 + 0.432114i) q^{10} +(-3.55139 + 1.58118i) q^{11} +(0.720527 - 3.28792i) q^{12} +(-5.89635 - 2.62522i) q^{13} +(0.0786587 - 0.748387i) q^{14} +(-1.94191 + 3.35097i) q^{15} +(-0.382906 - 3.64311i) q^{16} +(-2.22145 + 6.83693i) q^{17} +(-0.0835871 + 0.709272i) q^{18} +(-0.490230 + 1.50877i) q^{19} +(-0.883563 + 4.25464i) q^{20} +(0.0344602 - 5.47491i) q^{21} +(0.619250 - 0.687747i) q^{22} +(0.172818 - 1.64425i) q^{23} +(0.328039 + 1.59253i) q^{24} +(2.45937 - 4.35333i) q^{25} +1.53653 q^{26} +(-0.0981099 + 5.19523i) q^{27} +(-1.89825 - 5.84221i) q^{28} +(2.56366 + 0.544923i) q^{29} +(0.0978562 - 0.916796i) q^{30} +(1.69775 - 0.360869i) q^{31} +(1.37478 + 2.38118i) q^{32} +(3.99195 - 5.42235i) q^{33} +(-0.178886 - 1.70199i) q^{34} +(0.0330743 + 7.06814i) q^{35} +(1.73163 + 5.56688i) q^{36} +(-0.974207 + 0.707803i) q^{37} +(-0.0394766 - 0.375594i) q^{38} +(11.1252 - 1.09855i) q^{39} +(-0.446032 - 2.05117i) q^{40} +(5.00852 + 2.22994i) q^{41} +(0.522629 + 1.19401i) q^{42} +(-5.96998 + 10.3403i) q^{43} +(2.33451 - 7.18490i) q^{44} +(0.0530542 - 6.70799i) q^{45} +(0.121625 + 0.374323i) q^{46} +(6.01847 + 1.27926i) q^{47} +(3.69700 + 5.15643i) q^{48} +(-1.49598 - 2.59111i) q^{49} +(-0.113337 + 1.18489i) q^{50} +(-2.51207 - 12.1953i) q^{51} +(11.4585 - 5.10167i) q^{52} +(0.201993 + 0.621671i) q^{53} +(-0.481706 - 1.13935i) q^{54} +(-5.07646 + 7.05635i) q^{55} +(1.98557 + 2.20520i) q^{56} +(-0.554363 - 2.69126i) q^{57} +(-0.610306 + 0.129724i) q^{58} +(0.228332 + 0.101660i) q^{59} +(-2.31425 - 7.16185i) q^{60} +(-0.279455 + 0.124421i) q^{61} +(-0.334283 + 0.242871i) q^{62} +(4.63775 + 8.27157i) q^{63} +(5.39759 + 3.92158i) q^{64} +(-14.3461 + 1.57574i) q^{65} +(-0.343131 + 1.56578i) q^{66} +(-3.64909 + 0.775638i) q^{67} +(-6.98507 - 12.0985i) q^{68} +(1.14825 + 2.62332i) q^{69} +(-0.691586 - 1.53397i) q^{70} +(0.0407718 + 0.125483i) q^{71} +(-1.85794 - 2.11644i) q^{72} +(-1.55794 - 1.13191i) q^{73} +(0.143334 - 0.248263i) q^{74} +(0.0265392 + 8.66021i) q^{75} +(-1.54147 - 2.66990i) q^{76} +(1.28448 - 12.2210i) q^{77} +(-2.31312 + 1.31614i) q^{78} +(-2.79800 - 0.594732i) q^{79} +(-4.84557 - 6.60415i) q^{80} +(-4.30236 - 7.90504i) q^{81} -1.30517 q^{82} +(0.0920635 + 0.102247i) q^{83} +(7.86191 + 7.16901i) q^{84} +(3.41563 + 15.7075i) q^{85} +(0.297115 - 2.82686i) q^{86} +(-4.32615 + 1.37561i) q^{87} +(0.381463 + 3.62938i) q^{88} +(11.1238 + 8.08188i) q^{89} +(0.637982 + 1.46398i) q^{90} +(16.5058 - 11.9921i) q^{91} +(2.14986 + 2.38766i) q^{92} +(-2.24673 + 1.99750i) q^{93} +(-1.43276 + 0.304542i) q^{94} +(0.753762 + 3.46633i) q^{95} +(-4.10926 - 2.40710i) q^{96} +(-7.27218 - 1.54575i) q^{97} +(0.576234 + 0.418659i) q^{98} +(-1.36496 + 11.5823i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.217479 + 0.0968278i −0.153781 + 0.0684676i −0.482184 0.876070i \(-0.660156\pi\)
0.328403 + 0.944538i \(0.393490\pi\)
\(3\) −1.50542 + 0.856567i −0.869155 + 0.494539i
\(4\) −1.30034 + 1.44417i −0.650170 + 0.722087i
\(5\) 1.93124 1.12708i 0.863676 0.504047i
\(6\) 0.244458 0.332052i 0.0997994 0.135560i
\(7\) −1.58050 + 2.73751i −0.597374 + 1.03468i 0.395833 + 0.918322i \(0.370456\pi\)
−0.993207 + 0.116359i \(0.962878\pi\)
\(8\) 0.290090 0.892804i 0.102562 0.315654i
\(9\) 1.53259 2.57899i 0.510862 0.859663i
\(10\) −0.310871 + 0.432114i −0.0983059 + 0.136647i
\(11\) −3.55139 + 1.58118i −1.07078 + 0.476744i −0.864958 0.501845i \(-0.832655\pi\)
−0.205826 + 0.978589i \(0.565988\pi\)
\(12\) 0.720527 3.28792i 0.207998 0.949140i
\(13\) −5.89635 2.62522i −1.63535 0.728106i −0.636292 0.771448i \(-0.719533\pi\)
−0.999060 + 0.0433424i \(0.986199\pi\)
\(14\) 0.0786587 0.748387i 0.0210224 0.200015i
\(15\) −1.94191 + 3.35097i −0.501398 + 0.865217i
\(16\) −0.382906 3.64311i −0.0957265 0.910777i
\(17\) −2.22145 + 6.83693i −0.538782 + 1.65820i 0.196551 + 0.980494i \(0.437026\pi\)
−0.735333 + 0.677706i \(0.762974\pi\)
\(18\) −0.0835871 + 0.709272i −0.0197017 + 0.167177i
\(19\) −0.490230 + 1.50877i −0.112467 + 0.346137i −0.991410 0.130789i \(-0.958249\pi\)
0.878944 + 0.476926i \(0.158249\pi\)
\(20\) −0.883563 + 4.25464i −0.197571 + 0.951365i
\(21\) 0.0344602 5.47491i 0.00751984 1.19472i
\(22\) 0.619250 0.687747i 0.132025 0.146628i
\(23\) 0.172818 1.64425i 0.0360350 0.342850i −0.961619 0.274389i \(-0.911524\pi\)
0.997654 0.0684609i \(-0.0218088\pi\)
\(24\) 0.328039 + 1.59253i 0.0669608 + 0.325073i
\(25\) 2.45937 4.35333i 0.491873 0.870667i
\(26\) 1.53653 0.301337
\(27\) −0.0981099 + 5.19523i −0.0188813 + 0.999822i
\(28\) −1.89825 5.84221i −0.358736 1.10407i
\(29\) 2.56366 + 0.544923i 0.476060 + 0.101190i 0.439692 0.898149i \(-0.355088\pi\)
0.0363682 + 0.999338i \(0.488421\pi\)
\(30\) 0.0978562 0.916796i 0.0178660 0.167383i
\(31\) 1.69775 0.360869i 0.304926 0.0648139i −0.0529078 0.998599i \(-0.516849\pi\)
0.357833 + 0.933785i \(0.383516\pi\)
\(32\) 1.37478 + 2.38118i 0.243029 + 0.420938i
\(33\) 3.99195 5.42235i 0.694909 0.943909i
\(34\) −0.178886 1.70199i −0.0306787 0.291888i
\(35\) 0.0330743 + 7.06814i 0.00559057 + 1.19473i
\(36\) 1.73163 + 5.56688i 0.288604 + 0.927813i
\(37\) −0.974207 + 0.707803i −0.160159 + 0.116362i −0.664978 0.746863i \(-0.731559\pi\)
0.504819 + 0.863225i \(0.331559\pi\)
\(38\) −0.0394766 0.375594i −0.00640394 0.0609295i
\(39\) 11.1252 1.09855i 1.78145 0.175909i
\(40\) −0.446032 2.05117i −0.0705238 0.324319i
\(41\) 5.00852 + 2.22994i 0.782199 + 0.348258i 0.758678 0.651466i \(-0.225846\pi\)
0.0235212 + 0.999723i \(0.492512\pi\)
\(42\) 0.522629 + 1.19401i 0.0806435 + 0.184240i
\(43\) −5.96998 + 10.3403i −0.910413 + 1.57688i −0.0969314 + 0.995291i \(0.530903\pi\)
−0.813482 + 0.581591i \(0.802431\pi\)
\(44\) 2.33451 7.18490i 0.351941 1.08316i
\(45\) 0.0530542 6.70799i 0.00790886 0.999969i
\(46\) 0.121625 + 0.374323i 0.0179326 + 0.0551909i
\(47\) 6.01847 + 1.27926i 0.877883 + 0.186600i 0.624744 0.780830i \(-0.285203\pi\)
0.253140 + 0.967430i \(0.418537\pi\)
\(48\) 3.69700 + 5.15643i 0.533616 + 0.744266i
\(49\) −1.49598 2.59111i −0.213711 0.370158i
\(50\) −0.113337 + 1.18489i −0.0160282 + 0.167569i
\(51\) −2.51207 12.1953i −0.351760 1.70768i
\(52\) 11.4585 5.10167i 1.58901 0.707474i
\(53\) 0.201993 + 0.621671i 0.0277459 + 0.0853931i 0.963971 0.266009i \(-0.0857050\pi\)
−0.936225 + 0.351402i \(0.885705\pi\)
\(54\) −0.481706 1.13935i −0.0655518 0.155046i
\(55\) −5.07646 + 7.05635i −0.684510 + 0.951478i
\(56\) 1.98557 + 2.20520i 0.265333 + 0.294682i
\(57\) −0.554363 2.69126i −0.0734272 0.356466i
\(58\) −0.610306 + 0.129724i −0.0801370 + 0.0170337i
\(59\) 0.228332 + 0.101660i 0.0297263 + 0.0132350i 0.421546 0.906807i \(-0.361488\pi\)
−0.391820 + 0.920042i \(0.628154\pi\)
\(60\) −2.31425 7.16185i −0.298768 0.924591i
\(61\) −0.279455 + 0.124421i −0.0357805 + 0.0159305i −0.424549 0.905405i \(-0.639567\pi\)
0.388768 + 0.921336i \(0.372901\pi\)
\(62\) −0.334283 + 0.242871i −0.0424540 + 0.0308447i
\(63\) 4.63775 + 8.27157i 0.584302 + 1.04212i
\(64\) 5.39759 + 3.92158i 0.674699 + 0.490198i
\(65\) −14.3461 + 1.57574i −1.77941 + 0.195447i
\(66\) −0.343131 + 1.56578i −0.0422365 + 0.192734i
\(67\) −3.64909 + 0.775638i −0.445807 + 0.0947592i −0.425345 0.905031i \(-0.639847\pi\)
−0.0204623 + 0.999791i \(0.506514\pi\)
\(68\) −6.98507 12.0985i −0.847065 1.46716i
\(69\) 1.14825 + 2.62332i 0.138233 + 0.315810i
\(70\) −0.691586 1.53397i −0.0826603 0.183344i
\(71\) 0.0407718 + 0.125483i 0.00483872 + 0.0148920i 0.953447 0.301562i \(-0.0975079\pi\)
−0.948608 + 0.316454i \(0.897508\pi\)
\(72\) −1.85794 2.11644i −0.218961 0.249424i
\(73\) −1.55794 1.13191i −0.182343 0.132480i 0.492869 0.870103i \(-0.335948\pi\)
−0.675212 + 0.737623i \(0.735948\pi\)
\(74\) 0.143334 0.248263i 0.0166623 0.0288599i
\(75\) 0.0265392 + 8.66021i 0.00306449 + 0.999995i
\(76\) −1.54147 2.66990i −0.176818 0.306258i
\(77\) 1.28448 12.2210i 0.146380 1.39272i
\(78\) −2.31312 + 1.31614i −0.261909 + 0.149023i
\(79\) −2.79800 0.594732i −0.314799 0.0669126i 0.0478026 0.998857i \(-0.484778\pi\)
−0.362602 + 0.931944i \(0.618111\pi\)
\(80\) −4.84557 6.60415i −0.541751 0.738366i
\(81\) −4.30236 7.90504i −0.478040 0.878338i
\(82\) −1.30517 −0.144132
\(83\) 0.0920635 + 0.102247i 0.0101053 + 0.0112231i 0.748176 0.663500i \(-0.230930\pi\)
−0.738071 + 0.674723i \(0.764263\pi\)
\(84\) 7.86191 + 7.16901i 0.857805 + 0.782203i
\(85\) 3.41563 + 15.7075i 0.370478 + 1.70372i
\(86\) 0.297115 2.82686i 0.0320387 0.304828i
\(87\) −4.32615 + 1.37561i −0.463812 + 0.147481i
\(88\) 0.381463 + 3.62938i 0.0406641 + 0.386893i
\(89\) 11.1238 + 8.08188i 1.17912 + 0.856678i 0.992072 0.125674i \(-0.0401093\pi\)
0.187044 + 0.982352i \(0.440109\pi\)
\(90\) 0.637982 + 1.46398i 0.0672492 + 0.154317i
\(91\) 16.5058 11.9921i 1.73027 1.25712i
\(92\) 2.14986 + 2.38766i 0.224138 + 0.248931i
\(93\) −2.24673 + 1.99750i −0.232975 + 0.207131i
\(94\) −1.43276 + 0.304542i −0.147778 + 0.0314111i
\(95\) 0.753762 + 3.46633i 0.0773343 + 0.355638i
\(96\) −4.10926 2.40710i −0.419400 0.245673i
\(97\) −7.27218 1.54575i −0.738378 0.156947i −0.176655 0.984273i \(-0.556528\pi\)
−0.561722 + 0.827326i \(0.689861\pi\)
\(98\) 0.576234 + 0.418659i 0.0582084 + 0.0422909i
\(99\) −1.36496 + 11.5823i −0.137184 + 1.16406i
\(100\) 3.08896 + 9.21257i 0.308896 + 0.921257i
\(101\) −4.13170 + 7.15632i −0.411120 + 0.712080i −0.995012 0.0997505i \(-0.968196\pi\)
0.583893 + 0.811831i \(0.301529\pi\)
\(102\) 1.72716 + 2.40898i 0.171015 + 0.238524i
\(103\) 7.34507 8.15753i 0.723732 0.803785i −0.263231 0.964733i \(-0.584788\pi\)
0.986963 + 0.160947i \(0.0514550\pi\)
\(104\) −4.05428 + 4.50273i −0.397555 + 0.441529i
\(105\) −6.10413 10.6122i −0.595702 1.03564i
\(106\) −0.104124 0.115642i −0.0101135 0.0112321i
\(107\) 13.7957 1.33368 0.666842 0.745199i \(-0.267646\pi\)
0.666842 + 0.745199i \(0.267646\pi\)
\(108\) −7.37523 6.89725i −0.709682 0.663688i
\(109\) −11.6911 + 8.49409i −1.11981 + 0.813586i −0.984180 0.177174i \(-0.943304\pi\)
−0.135626 + 0.990760i \(0.543304\pi\)
\(110\) 0.420772 2.02615i 0.0401190 0.193186i
\(111\) 0.860312 1.90002i 0.0816572 0.180342i
\(112\) 10.5782 + 4.70973i 0.999549 + 0.445028i
\(113\) 3.56300 + 1.58635i 0.335179 + 0.149231i 0.567423 0.823426i \(-0.307940\pi\)
−0.232245 + 0.972657i \(0.574607\pi\)
\(114\) 0.381151 + 0.531613i 0.0356980 + 0.0497902i
\(115\) −1.51945 3.37022i −0.141690 0.314274i
\(116\) −4.12059 + 2.99379i −0.382587 + 0.277966i
\(117\) −15.8071 + 11.1832i −1.46136 + 1.03389i
\(118\) −0.0595009 −0.00547750
\(119\) −15.2052 16.8870i −1.39386 1.54803i
\(120\) 2.42843 + 2.70582i 0.221685 + 0.247007i
\(121\) 2.75180 3.05618i 0.250164 0.277835i
\(122\) 0.0487280 0.0541180i 0.00441163 0.00489961i
\(123\) −9.45002 + 0.933139i −0.852080 + 0.0841383i
\(124\) −1.68650 + 2.92110i −0.151452 + 0.262323i
\(125\) −0.156944 11.1792i −0.0140375 0.999901i
\(126\) −1.80953 1.34983i −0.161206 0.120252i
\(127\) −13.6713 9.93278i −1.21313 0.881391i −0.217620 0.976034i \(-0.569829\pi\)
−0.995511 + 0.0946423i \(0.969829\pi\)
\(128\) −6.93252 1.47355i −0.612754 0.130245i
\(129\) 0.130165 20.6802i 0.0114604 1.82079i
\(130\) 2.96740 1.73179i 0.260258 0.151888i
\(131\) −15.9546 + 3.39126i −1.39396 + 0.296296i −0.842856 0.538140i \(-0.819127\pi\)
−0.551106 + 0.834435i \(0.685794\pi\)
\(132\) 2.63992 + 12.8160i 0.229775 + 1.11549i
\(133\) −3.35547 3.72663i −0.290957 0.323140i
\(134\) 0.718496 0.522018i 0.0620686 0.0450955i
\(135\) 5.66598 + 10.1438i 0.487650 + 0.873039i
\(136\) 5.45962 + 3.96665i 0.468159 + 0.340137i
\(137\) 0.594954 + 5.66061i 0.0508303 + 0.483618i 0.990092 + 0.140418i \(0.0448445\pi\)
−0.939262 + 0.343201i \(0.888489\pi\)
\(138\) −0.503729 0.459334i −0.0428803 0.0391011i
\(139\) 0.755820 7.19114i 0.0641078 0.609945i −0.914554 0.404465i \(-0.867458\pi\)
0.978661 0.205480i \(-0.0658755\pi\)
\(140\) −10.2506 9.14322i −0.866337 0.772743i
\(141\) −10.1561 + 3.22939i −0.855298 + 0.271964i
\(142\) −0.0210172 0.0233420i −0.00176372 0.00195881i
\(143\) 25.0912 2.09823
\(144\) −9.98237 4.59586i −0.831864 0.382989i
\(145\) 5.56521 1.83708i 0.462166 0.152561i
\(146\) 0.448419 + 0.0953144i 0.0371114 + 0.00788828i
\(147\) 4.47153 + 2.61930i 0.368805 + 0.216036i
\(148\) 0.244610 2.32731i 0.0201068 0.191304i
\(149\) −7.43364 12.8754i −0.608988 1.05480i −0.991408 0.130809i \(-0.958243\pi\)
0.382420 0.923989i \(-0.375091\pi\)
\(150\) −0.844321 1.88084i −0.0689385 0.153570i
\(151\) −6.50424 + 11.2657i −0.529308 + 0.916788i 0.470108 + 0.882609i \(0.344215\pi\)
−0.999416 + 0.0341791i \(0.989118\pi\)
\(152\) 1.20483 + 0.875359i 0.0977245 + 0.0710010i
\(153\) 14.2278 + 16.2073i 1.15025 + 1.31028i
\(154\) 0.903988 + 2.78219i 0.0728454 + 0.224195i
\(155\) 2.87204 2.61043i 0.230688 0.209675i
\(156\) −12.8800 + 17.4952i −1.03123 + 1.40073i
\(157\) 9.19914 + 15.9334i 0.734172 + 1.27162i 0.955086 + 0.296329i \(0.0957626\pi\)
−0.220914 + 0.975293i \(0.570904\pi\)
\(158\) 0.666091 0.141582i 0.0529914 0.0112637i
\(159\) −0.836588 0.762857i −0.0663458 0.0604985i
\(160\) 5.33882 + 3.04915i 0.422071 + 0.241056i
\(161\) 4.22801 + 3.07183i 0.333214 + 0.242094i
\(162\) 1.70110 + 1.30259i 0.133651 + 0.102341i
\(163\) 5.72788 4.16155i 0.448642 0.325958i −0.340417 0.940274i \(-0.610568\pi\)
0.789059 + 0.614317i \(0.210568\pi\)
\(164\) −9.73319 + 4.33350i −0.760035 + 0.338389i
\(165\) 1.59797 14.9711i 0.124402 1.16550i
\(166\) −0.0299222 0.0133222i −0.00232241 0.00103401i
\(167\) 3.52725 0.749739i 0.272947 0.0580166i −0.0694048 0.997589i \(-0.522110\pi\)
0.342351 + 0.939572i \(0.388777\pi\)
\(168\) −4.87803 1.61898i −0.376348 0.124907i
\(169\) 19.1764 + 21.2976i 1.47511 + 1.63827i
\(170\) −2.26375 3.08532i −0.173622 0.236634i
\(171\) 3.13979 + 3.57662i 0.240106 + 0.273511i
\(172\) −7.17020 22.0676i −0.546722 1.68264i
\(173\) 17.3194 7.71110i 1.31677 0.586264i 0.376413 0.926452i \(-0.377157\pi\)
0.940358 + 0.340188i \(0.110491\pi\)
\(174\) 0.807649 0.718058i 0.0612277 0.0544358i
\(175\) 8.03026 + 13.6130i 0.607031 + 1.02905i
\(176\) 7.12026 + 12.3327i 0.536710 + 0.929609i
\(177\) −0.430814 + 0.0425406i −0.0323820 + 0.00319755i
\(178\) −3.20173 0.680549i −0.239980 0.0510093i
\(179\) −1.72359 5.30468i −0.128827 0.396490i 0.865752 0.500474i \(-0.166841\pi\)
−0.994579 + 0.103984i \(0.966841\pi\)
\(180\) 9.61852 + 8.79929i 0.716922 + 0.655860i
\(181\) 5.22413 16.0782i 0.388307 1.19509i −0.545746 0.837951i \(-0.683754\pi\)
0.934053 0.357135i \(-0.116246\pi\)
\(182\) −2.42848 + 4.20625i −0.180011 + 0.311788i
\(183\) 0.314122 0.426678i 0.0232206 0.0315410i
\(184\) −1.41786 0.631272i −0.104526 0.0465380i
\(185\) −1.08367 + 2.46495i −0.0796733 + 0.181227i
\(186\) 0.295202 0.651959i 0.0216452 0.0478040i
\(187\) −2.92118 27.7931i −0.213618 2.03244i
\(188\) −9.67353 + 7.02823i −0.705515 + 0.512586i
\(189\) −14.0669 8.47964i −1.02322 0.616803i
\(190\) −0.499565 0.680869i −0.0362422 0.0493954i
\(191\) 0.392239 + 3.73191i 0.0283814 + 0.270031i 0.999505 + 0.0314549i \(0.0100140\pi\)
−0.971124 + 0.238576i \(0.923319\pi\)
\(192\) −11.4847 1.28023i −0.828840 0.0923926i
\(193\) −8.37215 14.5010i −0.602640 1.04380i −0.992420 0.122896i \(-0.960782\pi\)
0.389779 0.920908i \(-0.372551\pi\)
\(194\) 1.73122 0.367981i 0.124294 0.0264195i
\(195\) 20.2472 14.6606i 1.44993 1.04986i
\(196\) 5.68728 + 1.20887i 0.406234 + 0.0863478i
\(197\) −3.50778 10.7958i −0.249919 0.769171i −0.994788 0.101961i \(-0.967488\pi\)
0.744870 0.667210i \(-0.232512\pi\)
\(198\) −0.824637 2.65107i −0.0586044 0.188403i
\(199\) 5.25300 0.372375 0.186188 0.982514i \(-0.440387\pi\)
0.186188 + 0.982514i \(0.440387\pi\)
\(200\) −3.17324 3.45859i −0.224382 0.244559i
\(201\) 4.82903 4.29335i 0.340613 0.302830i
\(202\) 0.205627 1.95641i 0.0144679 0.137653i
\(203\) −5.54360 + 6.15679i −0.389085 + 0.432122i
\(204\) 20.8787 + 12.2302i 1.46180 + 0.856282i
\(205\) 12.1860 1.33848i 0.851105 0.0934833i
\(206\) −0.807522 + 2.48530i −0.0562627 + 0.173159i
\(207\) −3.97564 2.96565i −0.276326 0.206127i
\(208\) −7.30622 + 22.4862i −0.506596 + 1.55914i
\(209\) −0.644645 6.13339i −0.0445910 0.424255i
\(210\) 2.35508 + 1.71688i 0.162516 + 0.118476i
\(211\) −1.59702 + 15.1947i −0.109944 + 1.04604i 0.790913 + 0.611928i \(0.209606\pi\)
−0.900857 + 0.434116i \(0.857061\pi\)
\(212\) −1.16046 0.516671i −0.0797008 0.0354851i
\(213\) −0.168863 0.153980i −0.0115703 0.0105506i
\(214\) −3.00028 + 1.33581i −0.205095 + 0.0913141i
\(215\) 0.124930 + 26.6983i 0.00852018 + 1.82081i
\(216\) 4.60986 + 1.59467i 0.313661 + 0.108504i
\(217\) −1.69542 + 5.21797i −0.115093 + 0.354219i
\(218\) 1.72010 2.97931i 0.116500 0.201784i
\(219\) 3.31491 + 0.369520i 0.224001 + 0.0249699i
\(220\) −3.58947 16.5069i −0.242002 1.11290i
\(221\) 31.0469 34.4811i 2.08844 2.31945i
\(222\) −0.00312517 + 0.496515i −0.000209748 + 0.0333239i
\(223\) −2.18024 + 0.970703i −0.145999 + 0.0650031i −0.478436 0.878123i \(-0.658796\pi\)
0.332436 + 0.943126i \(0.392129\pi\)
\(224\) −8.69136 −0.580716
\(225\) −7.45801 13.0145i −0.497200 0.867636i
\(226\) −0.928479 −0.0617615
\(227\) 3.82540 1.70318i 0.253901 0.113044i −0.275840 0.961204i \(-0.588956\pi\)
0.529741 + 0.848160i \(0.322289\pi\)
\(228\) 4.60750 + 2.69895i 0.305139 + 0.178742i
\(229\) −10.9507 + 12.1620i −0.723646 + 0.803690i −0.986951 0.161023i \(-0.948521\pi\)
0.263305 + 0.964713i \(0.415187\pi\)
\(230\) 0.656780 + 0.585826i 0.0433068 + 0.0386282i
\(231\) 8.53444 + 19.4980i 0.561525 + 1.28288i
\(232\) 1.23020 2.13077i 0.0807666 0.139892i
\(233\) 0.488148 1.50237i 0.0319797 0.0984233i −0.933793 0.357815i \(-0.883522\pi\)
0.965772 + 0.259391i \(0.0835220\pi\)
\(234\) 2.35486 3.96268i 0.153942 0.259049i
\(235\) 13.0649 4.31275i 0.852262 0.281333i
\(236\) −0.443724 + 0.197559i −0.0288840 + 0.0128600i
\(237\) 4.72159 1.50135i 0.306700 0.0975231i
\(238\) 4.94194 + 2.20029i 0.320338 + 0.142624i
\(239\) 0.353687 3.36511i 0.0228781 0.217671i −0.977110 0.212736i \(-0.931763\pi\)
0.999988 0.00493466i \(-0.00157076\pi\)
\(240\) 12.9515 + 5.79146i 0.836017 + 0.373837i
\(241\) 1.90906 + 18.1635i 0.122974 + 1.17002i 0.865750 + 0.500476i \(0.166842\pi\)
−0.742777 + 0.669539i \(0.766492\pi\)
\(242\) −0.302535 + 0.931106i −0.0194477 + 0.0598538i
\(243\) 13.2481 + 8.21515i 0.849864 + 0.527002i
\(244\) 0.183700 0.565371i 0.0117602 0.0361942i
\(245\) −5.80948 3.31795i −0.371154 0.211976i
\(246\) 1.96483 1.11796i 0.125273 0.0712787i
\(247\) 6.85144 7.60929i 0.435947 0.484168i
\(248\) 0.170316 1.62044i 0.0108151 0.102898i
\(249\) −0.226176 0.0750660i −0.0143333 0.00475712i
\(250\) 1.11659 + 2.41605i 0.0706195 + 0.152804i
\(251\) −25.5610 −1.61339 −0.806697 0.590965i \(-0.798747\pi\)
−0.806697 + 0.590965i \(0.798747\pi\)
\(252\) −17.9762 4.05813i −1.13240 0.255638i
\(253\) 1.98611 + 6.11263i 0.124866 + 0.384297i
\(254\) 3.93499 + 0.836407i 0.246903 + 0.0524808i
\(255\) −18.5965 20.7207i −1.16456 1.29758i
\(256\) −11.4016 + 2.42349i −0.712602 + 0.151468i
\(257\) 6.52191 + 11.2963i 0.406825 + 0.704642i 0.994532 0.104432i \(-0.0333024\pi\)
−0.587707 + 0.809074i \(0.699969\pi\)
\(258\) 1.97411 + 4.51011i 0.122903 + 0.280787i
\(259\) −0.397881 3.78559i −0.0247231 0.235225i
\(260\) 16.3792 22.7673i 1.01579 1.41197i
\(261\) 5.33438 5.77651i 0.330190 0.357557i
\(262\) 3.14142 2.28238i 0.194078 0.141006i
\(263\) −2.58003 24.5473i −0.159091 1.51365i −0.724749 0.689013i \(-0.758044\pi\)
0.565657 0.824641i \(-0.308623\pi\)
\(264\) −3.68307 5.13699i −0.226677 0.316160i
\(265\) 1.09077 + 0.972933i 0.0670056 + 0.0597668i
\(266\) 1.09059 + 0.485560i 0.0668681 + 0.0297716i
\(267\) −23.6686 2.63839i −1.44850 0.161467i
\(268\) 3.62490 6.27851i 0.221426 0.383521i
\(269\) −0.768419 + 2.36495i −0.0468513 + 0.144193i −0.971746 0.236031i \(-0.924153\pi\)
0.924894 + 0.380225i \(0.124153\pi\)
\(270\) −2.21443 1.65744i −0.134766 0.100868i
\(271\) 6.79309 + 20.9070i 0.412651 + 1.27001i 0.914336 + 0.404958i \(0.132714\pi\)
−0.501685 + 0.865050i \(0.667286\pi\)
\(272\) 25.7583 + 5.47510i 1.56183 + 0.331976i
\(273\) −14.5761 + 32.1915i −0.882183 + 1.94832i
\(274\) −0.677494 1.17345i −0.0409289 0.0708910i
\(275\) −1.85076 + 19.3491i −0.111605 + 1.16679i
\(276\) −5.28164 1.75294i −0.317917 0.105514i
\(277\) −7.12911 + 3.17409i −0.428347 + 0.190712i −0.609574 0.792729i \(-0.708660\pi\)
0.181228 + 0.983441i \(0.441993\pi\)
\(278\) 0.531928 + 1.63711i 0.0319029 + 0.0981871i
\(279\) 1.67128 4.93155i 0.100057 0.295244i
\(280\) 6.32006 + 2.02087i 0.377696 + 0.120770i
\(281\) 8.97416 + 9.96681i 0.535354 + 0.594570i 0.948768 0.315972i \(-0.102331\pi\)
−0.413415 + 0.910543i \(0.635664\pi\)
\(282\) 1.89604 1.68572i 0.112908 0.100383i
\(283\) −0.532717 + 0.113232i −0.0316667 + 0.00673097i −0.223718 0.974654i \(-0.571819\pi\)
0.192051 + 0.981385i \(0.438486\pi\)
\(284\) −0.234236 0.104288i −0.0138993 0.00618838i
\(285\) −4.10388 4.57264i −0.243093 0.270860i
\(286\) −5.45680 + 2.42952i −0.322667 + 0.143661i
\(287\) −14.0204 + 10.1865i −0.827601 + 0.601287i
\(288\) 8.24801 + 0.103834i 0.486019 + 0.00611845i
\(289\) −28.0555 20.3835i −1.65032 1.19903i
\(290\) −1.03244 + 0.938394i −0.0606267 + 0.0551044i
\(291\) 12.2717 3.90210i 0.719381 0.228745i
\(292\) 3.66052 0.778068i 0.214216 0.0455330i
\(293\) 10.5504 + 18.2739i 0.616363 + 1.06757i 0.990144 + 0.140055i \(0.0447278\pi\)
−0.373781 + 0.927517i \(0.621939\pi\)
\(294\) −1.22608 0.136674i −0.0715067 0.00797101i
\(295\) 0.555543 0.0610195i 0.0323450 0.00355269i
\(296\) 0.349322 + 1.07510i 0.0203039 + 0.0624890i
\(297\) −7.86616 18.6054i −0.456441 1.07959i
\(298\) 2.86336 + 2.08035i 0.165870 + 0.120512i
\(299\) −5.33551 + 9.24138i −0.308561 + 0.534443i
\(300\) −12.5414 11.2229i −0.724076 0.647954i
\(301\) −18.8711 32.6858i −1.08771 1.88398i
\(302\) 0.323704 3.07984i 0.0186271 0.177225i
\(303\) 0.0900849 14.3124i 0.00517524 0.822223i
\(304\) 5.68434 + 1.20824i 0.326019 + 0.0692975i
\(305\) −0.399461 + 0.555256i −0.0228731 + 0.0317939i
\(306\) −4.66356 2.14710i −0.266598 0.122741i
\(307\) 0.469136 0.0267750 0.0133875 0.999910i \(-0.495738\pi\)
0.0133875 + 0.999910i \(0.495738\pi\)
\(308\) 15.9790 + 17.7465i 0.910489 + 1.01120i
\(309\) −4.06996 + 18.5721i −0.231532 + 1.05653i
\(310\) −0.371845 + 0.845807i −0.0211194 + 0.0480386i
\(311\) −2.63914 + 25.1098i −0.149652 + 1.42384i 0.619610 + 0.784910i \(0.287291\pi\)
−0.769262 + 0.638934i \(0.779376\pi\)
\(312\) 2.24650 10.2513i 0.127183 0.580364i
\(313\) −0.357603 3.40236i −0.0202129 0.192313i 0.979756 0.200195i \(-0.0641576\pi\)
−0.999969 + 0.00788231i \(0.997491\pi\)
\(314\) −3.54341 2.57444i −0.199966 0.145284i
\(315\) 18.2794 + 10.7472i 1.02992 + 0.605538i
\(316\) 4.49724 3.26744i 0.252990 0.183808i
\(317\) −18.2621 20.2821i −1.02570 1.13916i −0.990182 0.139786i \(-0.955358\pi\)
−0.0355182 0.999369i \(-0.511308\pi\)
\(318\) 0.255806 + 0.0849001i 0.0143449 + 0.00476096i
\(319\) −9.96618 + 2.11838i −0.557999 + 0.118606i
\(320\) 14.8440 + 1.48997i 0.829804 + 0.0832920i
\(321\) −20.7684 + 11.8170i −1.15918 + 0.659559i
\(322\) −1.21694 0.258669i −0.0678175 0.0144151i
\(323\) −9.22636 6.70335i −0.513369 0.372984i
\(324\) 17.0108 + 4.06588i 0.945044 + 0.225882i
\(325\) −25.9298 + 19.2124i −1.43832 + 1.06571i
\(326\) −0.842739 + 1.45967i −0.0466750 + 0.0808435i
\(327\) 10.3243 22.8014i 0.570934 1.26092i
\(328\) 3.44381 3.82474i 0.190153 0.211186i
\(329\) −13.0142 + 14.4537i −0.717496 + 0.796860i
\(330\) 1.10209 + 3.41063i 0.0606683 + 0.187749i
\(331\) −8.77034 9.74045i −0.482061 0.535383i 0.452226 0.891903i \(-0.350630\pi\)
−0.934288 + 0.356520i \(0.883963\pi\)
\(332\) −0.267376 −0.0146742
\(333\) 0.332360 + 3.59724i 0.0182132 + 0.197127i
\(334\) −0.694506 + 0.504588i −0.0380017 + 0.0276098i
\(335\) −6.17305 + 5.61077i −0.337270 + 0.306549i
\(336\) −19.9589 + 1.97084i −1.08885 + 0.107518i
\(337\) −6.32944 2.81805i −0.344786 0.153509i 0.227036 0.973886i \(-0.427097\pi\)
−0.571822 + 0.820378i \(0.693763\pi\)
\(338\) −6.23266 2.77496i −0.339012 0.150938i
\(339\) −6.72263 + 0.663824i −0.365123 + 0.0360539i
\(340\) −27.1259 15.4923i −1.47111 0.840190i
\(341\) −5.45879 + 3.96604i −0.295610 + 0.214773i
\(342\) −1.02915 0.473821i −0.0556503 0.0256213i
\(343\) −12.6695 −0.684087
\(344\) 7.50003 + 8.32963i 0.404375 + 0.449104i
\(345\) 5.17424 + 3.77208i 0.278571 + 0.203082i
\(346\) −3.01996 + 3.35400i −0.162354 + 0.180312i
\(347\) −3.53309 + 3.92390i −0.189666 + 0.210646i −0.830477 0.557053i \(-0.811932\pi\)
0.640810 + 0.767699i \(0.278599\pi\)
\(348\) 3.63885 8.03647i 0.195063 0.430800i
\(349\) 7.40744 12.8301i 0.396511 0.686777i −0.596782 0.802404i \(-0.703554\pi\)
0.993293 + 0.115626i \(0.0368875\pi\)
\(350\) −3.06453 2.18299i −0.163806 0.116686i
\(351\) 14.2171 30.3753i 0.758854 1.62131i
\(352\) −8.64745 6.28274i −0.460911 0.334871i
\(353\) 16.0891 + 3.41985i 0.856338 + 0.182020i 0.615103 0.788446i \(-0.289114\pi\)
0.241235 + 0.970467i \(0.422448\pi\)
\(354\) 0.0895739 0.0509665i 0.00476080 0.00270884i
\(355\) 0.220169 + 0.196384i 0.0116854 + 0.0104230i
\(356\) −26.1363 + 5.55544i −1.38522 + 0.294438i
\(357\) 37.3551 + 12.3979i 1.97704 + 0.656165i
\(358\) 0.888485 + 0.986763i 0.0469579 + 0.0521520i
\(359\) −4.52740 + 3.28935i −0.238947 + 0.173605i −0.700814 0.713344i \(-0.747180\pi\)
0.461867 + 0.886949i \(0.347180\pi\)
\(360\) −5.97353 1.99329i −0.314833 0.105055i
\(361\) 13.3352 + 9.68863i 0.701855 + 0.509928i
\(362\) 0.420681 + 4.00252i 0.0221105 + 0.210368i
\(363\) −1.52479 + 6.95794i −0.0800308 + 0.365197i
\(364\) −4.14437 + 39.4310i −0.217224 + 2.06675i
\(365\) −4.28451 0.430060i −0.224261 0.0225104i
\(366\) −0.0270005 + 0.123209i −0.00141134 + 0.00644025i
\(367\) −1.21156 1.34557i −0.0632427 0.0702382i 0.710693 0.703502i \(-0.248381\pi\)
−0.773936 + 0.633264i \(0.781715\pi\)
\(368\) −6.05635 −0.315709
\(369\) 13.4270 9.49934i 0.698980 0.494516i
\(370\) −0.00299948 0.641004i −0.000155935 0.0333242i
\(371\) −2.02108 0.429594i −0.104929 0.0223034i
\(372\) 0.0367713 5.84209i 0.00190650 0.302898i
\(373\) −0.685263 + 6.51984i −0.0354816 + 0.337585i 0.962353 + 0.271804i \(0.0876203\pi\)
−0.997834 + 0.0657804i \(0.979046\pi\)
\(374\) 3.32644 + 5.76157i 0.172006 + 0.297924i
\(375\) 9.81203 + 16.6950i 0.506691 + 0.862128i
\(376\) 2.88803 5.00221i 0.148939 0.257969i
\(377\) −13.6857 9.94323i −0.704849 0.512103i
\(378\) 3.88032 + 0.482074i 0.199582 + 0.0247952i
\(379\) −5.74831 17.6915i −0.295271 0.908750i −0.983130 0.182906i \(-0.941450\pi\)
0.687860 0.725844i \(-0.258550\pi\)
\(380\) −5.98613 3.41885i −0.307082 0.175383i
\(381\) 29.0891 + 3.24263i 1.49028 + 0.166125i
\(382\) −0.446656 0.773631i −0.0228529 0.0395824i
\(383\) 16.1666 3.43632i 0.826075 0.175588i 0.224571 0.974458i \(-0.427902\pi\)
0.601504 + 0.798870i \(0.294568\pi\)
\(384\) 11.6986 3.71985i 0.596990 0.189828i
\(385\) −11.2935 25.0494i −0.575569 1.27664i
\(386\) 3.22486 + 2.34300i 0.164141 + 0.119256i
\(387\) 17.5180 + 31.2439i 0.890491 + 1.58822i
\(388\) 11.6886 8.49229i 0.593400 0.431131i
\(389\) −3.63182 + 1.61699i −0.184141 + 0.0819847i −0.496736 0.867902i \(-0.665468\pi\)
0.312595 + 0.949886i \(0.398802\pi\)
\(390\) −2.98379 + 5.14885i −0.151090 + 0.260722i
\(391\) 10.8577 + 4.83417i 0.549098 + 0.244474i
\(392\) −2.74732 + 0.583960i −0.138760 + 0.0294944i
\(393\) 21.1136 18.7715i 1.06504 0.946896i
\(394\) 1.80820 + 2.00821i 0.0910960 + 0.101172i
\(395\) −6.07391 + 2.00500i −0.305612 + 0.100883i
\(396\) −14.9519 17.0322i −0.751362 0.855898i
\(397\) 5.77168 + 17.7634i 0.289672 + 0.891520i 0.984959 + 0.172787i \(0.0552773\pi\)
−0.695287 + 0.718732i \(0.744723\pi\)
\(398\) −1.14242 + 0.508637i −0.0572642 + 0.0254957i
\(399\) 8.24351 + 2.73596i 0.412692 + 0.136969i
\(400\) −16.8014 7.29282i −0.840069 0.364641i
\(401\) 7.28121 + 12.6114i 0.363606 + 0.629785i 0.988551 0.150884i \(-0.0482120\pi\)
−0.624945 + 0.780669i \(0.714879\pi\)
\(402\) −0.634496 + 1.40130i −0.0316458 + 0.0698903i
\(403\) −10.9579 2.32917i −0.545852 0.116024i
\(404\) −4.96235 15.2725i −0.246886 0.759837i
\(405\) −17.2185 10.4174i −0.855596 0.517645i
\(406\) 0.609467 1.87575i 0.0302474 0.0930918i
\(407\) 2.34063 4.05408i 0.116021 0.200953i
\(408\) −11.6167 1.29494i −0.575114 0.0641092i
\(409\) −5.24999 2.33744i −0.259595 0.115579i 0.272813 0.962067i \(-0.412046\pi\)
−0.532408 + 0.846488i \(0.678713\pi\)
\(410\) −2.52059 + 1.47103i −0.124483 + 0.0726491i
\(411\) −5.74435 8.01198i −0.283348 0.395202i
\(412\) 2.22980 + 21.2151i 0.109854 + 1.04519i
\(413\) −0.639175 + 0.464388i −0.0314517 + 0.0228510i
\(414\) 1.15178 + 0.260013i 0.0566067 + 0.0127789i
\(415\) 0.293037 + 0.0936999i 0.0143846 + 0.00459955i
\(416\) −1.85503 17.6494i −0.0909501 0.865332i
\(417\) 5.02187 + 11.4731i 0.245922 + 0.561841i
\(418\) 0.734079 + 1.27146i 0.0359050 + 0.0621893i
\(419\) 14.5102 3.08423i 0.708868 0.150675i 0.160652 0.987011i \(-0.448640\pi\)
0.548216 + 0.836337i \(0.315307\pi\)
\(420\) 23.2633 + 4.98405i 1.13513 + 0.243197i
\(421\) 11.6112 + 2.46804i 0.565897 + 0.120285i 0.481971 0.876187i \(-0.339921\pi\)
0.0839255 + 0.996472i \(0.473254\pi\)
\(422\) −1.12395 3.45915i −0.0547129 0.168389i
\(423\) 12.5230 13.5610i 0.608890 0.659357i
\(424\) 0.613627 0.0298003
\(425\) 24.3001 + 26.4853i 1.17873 + 1.28472i
\(426\) 0.0516337 + 0.0171368i 0.00250166 + 0.000830283i
\(427\) 0.101074 0.961658i 0.00489133 0.0465379i
\(428\) −17.9391 + 19.9234i −0.867121 + 0.963035i
\(429\) −37.7728 + 21.4923i −1.82369 + 1.03766i
\(430\) −2.61230 5.79421i −0.125976 0.279422i
\(431\) −0.657311 + 2.02300i −0.0316616 + 0.0974443i −0.965638 0.259889i \(-0.916314\pi\)
0.933977 + 0.357333i \(0.116314\pi\)
\(432\) 18.9643 1.63186i 0.912422 0.0785129i
\(433\) −4.80484 + 14.7878i −0.230906 + 0.710655i 0.766732 + 0.641967i \(0.221881\pi\)
−0.997638 + 0.0686884i \(0.978119\pi\)
\(434\) −0.136526 1.29896i −0.00655348 0.0623522i
\(435\) −6.80441 + 7.53256i −0.326246 + 0.361159i
\(436\) 2.93548 27.9292i 0.140584 1.33757i
\(437\) 2.39608 + 1.06680i 0.114620 + 0.0510321i
\(438\) −0.756703 + 0.240613i −0.0361567 + 0.0114969i
\(439\) 18.0157 8.02110i 0.859842 0.382826i 0.0710398 0.997473i \(-0.477368\pi\)
0.788802 + 0.614647i \(0.210702\pi\)
\(440\) 4.82731 + 6.57925i 0.230133 + 0.313654i
\(441\) −8.97514 0.112987i −0.427388 0.00538035i
\(442\) −3.41332 + 10.5051i −0.162355 + 0.499678i
\(443\) −18.9074 + 32.7486i −0.898320 + 1.55594i −0.0686778 + 0.997639i \(0.521878\pi\)
−0.829642 + 0.558296i \(0.811455\pi\)
\(444\) 1.62526 + 3.71311i 0.0771312 + 0.176216i
\(445\) 30.5916 + 3.07065i 1.45018 + 0.145563i
\(446\) 0.380164 0.422215i 0.0180013 0.0199925i
\(447\) 22.2194 + 13.0156i 1.05094 + 0.615614i
\(448\) −19.2663 + 8.57790i −0.910246 + 0.405268i
\(449\) 5.81005 0.274193 0.137096 0.990558i \(-0.456223\pi\)
0.137096 + 0.990558i \(0.456223\pi\)
\(450\) 2.88213 + 2.10824i 0.135865 + 0.0993835i
\(451\) −21.3131 −1.00360
\(452\) −6.92407 + 3.08279i −0.325681 + 0.145002i
\(453\) 0.141814 22.5309i 0.00666302 1.05859i
\(454\) −0.667029 + 0.740810i −0.0313052 + 0.0347680i
\(455\) 18.3604 41.7631i 0.860751 1.95788i
\(456\) −2.56358 0.285768i −0.120051 0.0133823i
\(457\) 6.14909 10.6505i 0.287642 0.498211i −0.685604 0.727974i \(-0.740462\pi\)
0.973247 + 0.229763i \(0.0737952\pi\)
\(458\) 1.20393 3.70532i 0.0562561 0.173138i
\(459\) −35.3015 12.2117i −1.64773 0.569995i
\(460\) 6.84299 + 2.18807i 0.319056 + 0.102019i
\(461\) 10.4194 4.63904i 0.485282 0.216062i −0.149487 0.988764i \(-0.547762\pi\)
0.634769 + 0.772702i \(0.281095\pi\)
\(462\) −3.74401 3.41404i −0.174187 0.158835i
\(463\) −7.79120 3.46887i −0.362088 0.161212i 0.217626 0.976032i \(-0.430169\pi\)
−0.579713 + 0.814820i \(0.696835\pi\)
\(464\) 1.00357 9.54835i 0.0465896 0.443271i
\(465\) −2.08762 + 6.38989i −0.0968109 + 0.296324i
\(466\) 0.0393089 + 0.373999i 0.00182095 + 0.0173252i
\(467\) −4.57078 + 14.0674i −0.211510 + 0.650962i 0.787873 + 0.615838i \(0.211183\pi\)
−0.999383 + 0.0351238i \(0.988817\pi\)
\(468\) 4.40404 37.3702i 0.203577 1.72744i
\(469\) 3.64408 11.2153i 0.168268 0.517875i
\(470\) −2.42375 + 2.20298i −0.111799 + 0.101616i
\(471\) −27.4966 16.1068i −1.26698 0.742161i
\(472\) 0.156999 0.174365i 0.00722647 0.00802581i
\(473\) 4.85183 46.1621i 0.223087 2.12253i
\(474\) −0.881474 + 0.783693i −0.0404874 + 0.0359962i
\(475\) 5.36254 + 5.84477i 0.246050 + 0.268176i
\(476\) 44.1597 2.02406
\(477\) 1.91286 + 0.431826i 0.0875836 + 0.0197720i
\(478\) 0.248916 + 0.766086i 0.0113852 + 0.0350400i
\(479\) 37.6768 + 8.00845i 1.72150 + 0.365915i 0.959509 0.281676i \(-0.0908904\pi\)
0.761987 + 0.647592i \(0.224224\pi\)
\(480\) −10.6490 0.0171962i −0.486057 0.000784893i
\(481\) 7.60241 1.61594i 0.346640 0.0736806i
\(482\) −2.17391 3.76533i −0.0990191 0.171506i
\(483\) −8.99616 1.00282i −0.409340 0.0456300i
\(484\) 0.835385 + 7.94815i 0.0379720 + 0.361280i
\(485\) −15.7865 + 5.21114i −0.716828 + 0.236626i
\(486\) −3.67663 0.503840i −0.166775 0.0228547i
\(487\) −17.5649 + 12.7617i −0.795944 + 0.578287i −0.909721 0.415219i \(-0.863705\pi\)
0.113778 + 0.993506i \(0.463705\pi\)
\(488\) 0.0300169 + 0.285591i 0.00135880 + 0.0129281i
\(489\) −5.05823 + 11.1712i −0.228741 + 0.505179i
\(490\) 1.58471 + 0.159066i 0.0715898 + 0.00718587i
\(491\) −21.9371 9.76704i −0.990009 0.440780i −0.153152 0.988203i \(-0.548943\pi\)
−0.836857 + 0.547422i \(0.815609\pi\)
\(492\) 10.9406 14.8609i 0.493241 0.669980i
\(493\) −9.42066 + 16.3171i −0.424285 + 0.734883i
\(494\) −0.753251 + 2.31827i −0.0338904 + 0.104304i
\(495\) 10.4181 + 23.9066i 0.468260 + 1.07452i
\(496\) −1.96476 6.04692i −0.0882205 0.271515i
\(497\) −0.407950 0.0867124i −0.0182990 0.00388958i
\(498\) 0.0564569 0.00557482i 0.00252989 0.000249814i
\(499\) −8.41774 14.5800i −0.376830 0.652688i 0.613769 0.789485i \(-0.289653\pi\)
−0.990599 + 0.136797i \(0.956319\pi\)
\(500\) 16.3488 + 14.3102i 0.731142 + 0.639970i
\(501\) −4.66779 + 4.15000i −0.208541 + 0.185408i
\(502\) 5.55897 2.47501i 0.248109 0.110465i
\(503\) 0.184791 + 0.568727i 0.00823941 + 0.0253583i 0.955092 0.296310i \(-0.0957563\pi\)
−0.946852 + 0.321669i \(0.895756\pi\)
\(504\) 8.73025 1.74111i 0.388876 0.0775551i
\(505\) 0.0864618 + 18.4773i 0.00384750 + 0.822231i
\(506\) −1.02381 1.13706i −0.0455139 0.0505483i
\(507\) −47.1114 15.6359i −2.09229 0.694416i
\(508\) 32.1220 6.82774i 1.42518 0.302932i
\(509\) 11.2050 + 4.98877i 0.496651 + 0.221123i 0.639747 0.768586i \(-0.279039\pi\)
−0.143096 + 0.989709i \(0.545706\pi\)
\(510\) 6.05069 + 2.70566i 0.267929 + 0.119808i
\(511\) 5.56094 2.47589i 0.246001 0.109527i
\(512\) 13.7126 9.96279i 0.606017 0.440297i
\(513\) −7.79033 2.69488i −0.343951 0.118982i
\(514\) −2.51217 1.82520i −0.110807 0.0805060i
\(515\) 4.99088 24.0326i 0.219924 1.05900i
\(516\) 29.6965 + 27.0793i 1.30732 + 1.19210i
\(517\) −23.3967 + 4.97311i −1.02898 + 0.218717i
\(518\) 0.453081 + 0.784759i 0.0199072 + 0.0344803i
\(519\) −19.4679 + 26.4437i −0.854548 + 1.16075i
\(520\) −2.75483 + 13.2654i −0.120807 + 0.581724i
\(521\) −8.73777 26.8921i −0.382809 1.17816i −0.938058 0.346479i \(-0.887377\pi\)
0.555249 0.831684i \(-0.312623\pi\)
\(522\) −0.600788 + 1.77278i −0.0262958 + 0.0775927i
\(523\) 23.4654 + 17.0486i 1.02607 + 0.745484i 0.967518 0.252800i \(-0.0813516\pi\)
0.0585521 + 0.998284i \(0.481352\pi\)
\(524\) 15.8489 27.4510i 0.692361 1.19920i
\(525\) −23.7494 13.6148i −1.03651 0.594200i
\(526\) 2.93797 + 5.08871i 0.128101 + 0.221878i
\(527\) −1.30425 + 12.4091i −0.0568139 + 0.540548i
\(528\) −21.2827 12.4669i −0.926212 0.542550i
\(529\) 19.8237 + 4.21366i 0.861900 + 0.183203i
\(530\) −0.331427 0.105975i −0.0143963 0.00460327i
\(531\) 0.612118 0.433063i 0.0265637 0.0187933i
\(532\) 9.74516 0.422506
\(533\) −23.6779 26.2970i −1.02560 1.13905i
\(534\) 5.40289 1.71799i 0.233806 0.0743445i
\(535\) 26.6428 15.5489i 1.15187 0.672239i
\(536\) −0.366070 + 3.48292i −0.0158118 + 0.150439i
\(537\) 7.13855 + 6.50940i 0.308051 + 0.280901i
\(538\) −0.0618781 0.588731i −0.00266775 0.0253820i
\(539\) 9.40980 + 6.83662i 0.405309 + 0.294474i
\(540\) −22.0171 5.00773i −0.947465 0.215498i
\(541\) 27.2419 19.7924i 1.17122 0.850941i 0.180065 0.983655i \(-0.442369\pi\)
0.991154 + 0.132714i \(0.0423690\pi\)
\(542\) −3.50173 3.88906i −0.150412 0.167050i
\(543\) 5.90756 + 28.6793i 0.253518 + 1.23075i
\(544\) −19.3340 + 4.10957i −0.828939 + 0.176196i
\(545\) −13.0048 + 29.5810i −0.557064 + 1.26711i
\(546\) 0.0529490 8.41234i 0.00226601 0.360015i
\(547\) 29.2637 + 6.22019i 1.25123 + 0.265956i 0.785438 0.618940i \(-0.212438\pi\)
0.465788 + 0.884897i \(0.345771\pi\)
\(548\) −8.94854 6.50150i −0.382263 0.277730i
\(549\) −0.107407 + 0.911397i −0.00458403 + 0.0388975i
\(550\) −1.47103 4.38722i −0.0627248 0.187072i
\(551\) −2.07895 + 3.60085i −0.0885662 + 0.153401i
\(552\) 2.67520 0.264162i 0.113864 0.0112435i
\(553\) 6.05032 6.71957i 0.257286 0.285745i
\(554\) 1.24309 1.38059i 0.0528139 0.0586558i
\(555\) −0.480009 4.63903i −0.0203752 0.196916i
\(556\) 9.40244 + 10.4425i 0.398752 + 0.442859i
\(557\) 11.2275 0.475724 0.237862 0.971299i \(-0.423553\pi\)
0.237862 + 0.971299i \(0.423553\pi\)
\(558\) 0.114044 + 1.23433i 0.00482786 + 0.0522535i
\(559\) 62.3467 45.2975i 2.63698 1.91588i
\(560\) 25.7374 2.82693i 1.08760 0.119460i
\(561\) 28.2043 + 39.3382i 1.19079 + 1.66086i
\(562\) −2.91675 1.29862i −0.123036 0.0547791i
\(563\) −5.27419 2.34822i −0.222281 0.0989658i 0.292575 0.956243i \(-0.405488\pi\)
−0.514856 + 0.857277i \(0.672155\pi\)
\(564\) 8.54259 18.8665i 0.359708 0.794422i
\(565\) 8.66895 0.952176i 0.364705 0.0400584i
\(566\) 0.104891 0.0762074i 0.00440888 0.00320324i
\(567\) 28.4400 + 0.716172i 1.19437 + 0.0300764i
\(568\) 0.123859 0.00519700
\(569\) 16.5397 + 18.3692i 0.693380 + 0.770076i 0.982308 0.187275i \(-0.0599655\pi\)
−0.288928 + 0.957351i \(0.593299\pi\)
\(570\) 1.33527 + 0.597084i 0.0559281 + 0.0250091i
\(571\) −16.5015 + 18.3268i −0.690568 + 0.766954i −0.981845 0.189685i \(-0.939253\pi\)
0.291277 + 0.956639i \(0.405920\pi\)
\(572\) −32.6271 + 36.2360i −1.36421 + 1.51510i
\(573\) −3.78711 5.28211i −0.158209 0.220663i
\(574\) 2.06282 3.57291i 0.0861004 0.149130i
\(575\) −6.73294 4.79614i −0.280783 0.200013i
\(576\) 18.3860 7.91017i 0.766083 0.329591i
\(577\) 16.1544 + 11.7369i 0.672518 + 0.488613i 0.870867 0.491518i \(-0.163558\pi\)
−0.198349 + 0.980131i \(0.563558\pi\)
\(578\) 8.07517 + 1.71643i 0.335883 + 0.0713941i
\(579\) 25.0247 + 14.6588i 1.03999 + 0.609198i
\(580\) −4.58360 + 10.4260i −0.190324 + 0.432915i
\(581\) −0.425408 + 0.0904234i −0.0176489 + 0.00375139i
\(582\) −2.29101 + 2.03687i −0.0949653 + 0.0844310i
\(583\) −1.70033 1.88841i −0.0704206 0.0782099i
\(584\) −1.46251 + 1.06258i −0.0605193 + 0.0439698i
\(585\) −17.9228 + 39.4134i −0.741017 + 1.62954i
\(586\) −4.06392 2.95261i −0.167879 0.121971i
\(587\) −2.10300 20.0087i −0.0868001 0.825848i −0.948147 0.317831i \(-0.897046\pi\)
0.861347 0.508017i \(-0.169621\pi\)
\(588\) −9.59723 + 3.05168i −0.395783 + 0.125849i
\(589\) −0.287821 + 2.73844i −0.0118595 + 0.112835i
\(590\) −0.114910 + 0.0670625i −0.00473079 + 0.00276092i
\(591\) 14.5280 + 13.2476i 0.597603 + 0.544934i
\(592\) 2.95163 + 3.27812i 0.121311 + 0.134730i
\(593\) −26.2817 −1.07926 −0.539630 0.841902i \(-0.681436\pi\)
−0.539630 + 0.841902i \(0.681436\pi\)
\(594\) 3.51224 + 3.28462i 0.144109 + 0.134769i
\(595\) −48.3979 15.4754i −1.98412 0.634431i
\(596\) 28.2606 + 6.00698i 1.15760 + 0.246056i
\(597\) −7.90798 + 4.49955i −0.323652 + 0.184154i
\(598\) 0.265539 2.52643i 0.0108587 0.103313i
\(599\) 10.6072 + 18.3722i 0.433397 + 0.750666i 0.997163 0.0752684i \(-0.0239814\pi\)
−0.563766 + 0.825935i \(0.690648\pi\)
\(600\) 7.73957 + 2.48854i 0.315967 + 0.101594i
\(601\) −19.6890 + 34.1024i −0.803132 + 1.39107i 0.114412 + 0.993433i \(0.463501\pi\)
−0.917545 + 0.397633i \(0.869832\pi\)
\(602\) 7.26896 + 5.28121i 0.296261 + 0.215246i
\(603\) −3.59218 + 10.5997i −0.146285 + 0.431653i
\(604\) −7.81187 24.0425i −0.317861 0.978274i
\(605\) 1.86981 9.00373i 0.0760186 0.366054i
\(606\) 1.36624 + 3.12136i 0.0554998 + 0.126796i
\(607\) 20.2987 + 35.1584i 0.823898 + 1.42703i 0.902758 + 0.430148i \(0.141539\pi\)
−0.0788598 + 0.996886i \(0.525128\pi\)
\(608\) −4.26663 + 0.906900i −0.173035 + 0.0367796i
\(609\) 3.07175 14.0170i 0.124474 0.567999i
\(610\) 0.0331100 0.159435i 0.00134059 0.00645535i
\(611\) −32.1286 23.3428i −1.29978 0.944349i
\(612\) −41.9071 0.527565i −1.69400 0.0213256i
\(613\) 16.2372 11.7970i 0.655814 0.476477i −0.209432 0.977823i \(-0.567162\pi\)
0.865247 + 0.501346i \(0.167162\pi\)
\(614\) −0.102027 + 0.0454255i −0.00411748 + 0.00183322i
\(615\) −17.1985 + 12.4531i −0.693511 + 0.502156i
\(616\) −10.5384 4.69198i −0.424603 0.189045i
\(617\) 4.71104 1.00136i 0.189659 0.0403134i −0.112103 0.993697i \(-0.535759\pi\)
0.301762 + 0.953383i \(0.402425\pi\)
\(618\) −0.913163 4.43312i −0.0367328 0.178326i
\(619\) −13.9520 15.4953i −0.560778 0.622807i 0.394364 0.918954i \(-0.370965\pi\)
−0.955142 + 0.296147i \(0.904298\pi\)
\(620\) 0.0352924 + 7.54217i 0.00141738 + 0.302901i
\(621\) 8.52529 + 1.05914i 0.342108 + 0.0425020i
\(622\) −1.85737 5.71638i −0.0744736 0.229206i
\(623\) −39.7054 + 17.6780i −1.59076 + 0.708253i
\(624\) −8.26203 40.1095i −0.330746 1.60567i
\(625\) −12.9030 21.4129i −0.516121 0.856516i
\(626\) 0.407214 + 0.705316i 0.0162756 + 0.0281901i
\(627\) 6.22412 + 8.68115i 0.248567 + 0.346692i
\(628\) −34.9726 7.43365i −1.39556 0.296635i
\(629\) −2.67505 8.23294i −0.106661 0.328269i
\(630\) −5.01600 0.567347i −0.199842 0.0226036i
\(631\) 5.06778 15.5970i 0.201745 0.620908i −0.798086 0.602543i \(-0.794154\pi\)
0.999831 0.0183646i \(-0.00584598\pi\)
\(632\) −1.34265 + 2.32554i −0.0534077 + 0.0925048i
\(633\) −10.6111 24.2423i −0.421752 0.963546i
\(634\) 5.93548 + 2.64265i 0.235728 + 0.104953i
\(635\) −37.5976 3.77388i −1.49202 0.149762i
\(636\) 2.18955 0.216206i 0.0868212 0.00857313i
\(637\) 2.01856 + 19.2053i 0.0799783 + 0.760943i
\(638\) 1.96231 1.42571i 0.0776888 0.0564442i
\(639\) 0.386104 + 0.0871629i 0.0152741 + 0.00344811i
\(640\) −15.0492 + 4.96775i −0.594871 + 0.196367i
\(641\) −3.43163 32.6498i −0.135541 1.28959i −0.824946 0.565212i \(-0.808794\pi\)
0.689405 0.724376i \(-0.257872\pi\)
\(642\) 3.37247 4.58090i 0.133101 0.180794i
\(643\) −8.85367 15.3350i −0.349155 0.604754i 0.636945 0.770909i \(-0.280198\pi\)
−0.986100 + 0.166156i \(0.946865\pi\)
\(644\) −9.93411 + 2.11156i −0.391459 + 0.0832071i
\(645\) −23.0569 40.0851i −0.907865 1.57835i
\(646\) 2.65561 + 0.564467i 0.104484 + 0.0222087i
\(647\) −9.85870 30.3419i −0.387585 1.19287i −0.934587 0.355734i \(-0.884231\pi\)
0.547002 0.837131i \(-0.315769\pi\)
\(648\) −8.30572 + 1.54800i −0.326279 + 0.0608110i
\(649\) −0.971639 −0.0381402
\(650\) 3.77888 6.68901i 0.148220 0.262364i
\(651\) −1.91722 9.30749i −0.0751417 0.364789i
\(652\) −1.43819 + 13.6835i −0.0563239 + 0.535887i
\(653\) −17.4627 + 19.3943i −0.683368 + 0.758957i −0.980636 0.195837i \(-0.937258\pi\)
0.297269 + 0.954794i \(0.403924\pi\)
\(654\) −0.0375040 + 5.95850i −0.00146652 + 0.232996i
\(655\) −26.9900 + 24.5315i −1.05458 + 0.958526i
\(656\) 6.20611 19.1004i 0.242308 0.745747i
\(657\) −5.30686 + 2.28316i −0.207040 + 0.0890745i
\(658\) 1.43079 4.40352i 0.0557780 0.171667i
\(659\) −3.27906 31.1982i −0.127734 1.21531i −0.851160 0.524906i \(-0.824100\pi\)
0.723426 0.690402i \(-0.242566\pi\)
\(660\) 19.5430 + 21.7753i 0.760709 + 0.847601i
\(661\) −2.52351 + 24.0096i −0.0981531 + 0.933864i 0.829017 + 0.559223i \(0.188901\pi\)
−0.927170 + 0.374641i \(0.877766\pi\)
\(662\) 2.85051 + 1.26913i 0.110788 + 0.0493261i
\(663\) −17.2033 + 78.5024i −0.668122 + 3.04878i
\(664\) 0.117993 0.0525339i 0.00457902 0.00203871i
\(665\) −10.6804 3.41512i −0.414170 0.132433i
\(666\) −0.420594 0.750142i −0.0162977 0.0290674i
\(667\) 1.33903 4.12112i 0.0518476 0.159571i
\(668\) −3.50387 + 6.06887i −0.135569 + 0.234812i
\(669\) 2.45070 3.32884i 0.0947495 0.128700i
\(670\) 0.799230 1.81795i 0.0308769 0.0702334i
\(671\) 0.795720 0.883737i 0.0307184 0.0341163i
\(672\) 13.0842 7.44473i 0.504732 0.287187i
\(673\) 24.1911 10.7706i 0.932499 0.415175i 0.116475 0.993194i \(-0.462840\pi\)
0.816024 + 0.578018i \(0.196174\pi\)
\(674\) 1.64938 0.0635319
\(675\) 22.3753 + 13.2041i 0.861224 + 0.508225i
\(676\) −55.6932 −2.14205
\(677\) −9.54246 + 4.24858i −0.366747 + 0.163286i −0.581832 0.813309i \(-0.697664\pi\)
0.215085 + 0.976595i \(0.430997\pi\)
\(678\) 1.39775 0.795305i 0.0536803 0.0305435i
\(679\) 15.7252 17.4646i 0.603478 0.670230i
\(680\) 15.0146 + 1.50710i 0.575782 + 0.0577945i
\(681\) −4.29995 + 5.84071i −0.164775 + 0.223817i
\(682\) 0.803147 1.39109i 0.0307541 0.0532677i
\(683\) 8.03768 24.7374i 0.307553 0.946552i −0.671159 0.741314i \(-0.734203\pi\)
0.978712 0.205238i \(-0.0657969\pi\)
\(684\) −9.24806 0.116423i −0.353608 0.00445155i
\(685\) 7.52897 + 10.2614i 0.287667 + 0.392069i
\(686\) 2.75534 1.22676i 0.105199 0.0468378i
\(687\) 6.06789 27.6890i 0.231504 1.05640i
\(688\) 39.9568 + 17.7899i 1.52334 + 0.678234i
\(689\) 0.441004 4.19587i 0.0168009 0.159850i
\(690\) −1.49053 0.319338i −0.0567435 0.0121570i
\(691\) −0.421945 4.01454i −0.0160515 0.152720i 0.983560 0.180580i \(-0.0577975\pi\)
−0.999612 + 0.0278597i \(0.991131\pi\)
\(692\) −11.3850 + 35.0393i −0.432791 + 1.33199i
\(693\) −29.5493 22.0424i −1.12249 0.837323i
\(694\) 0.388430 1.19547i 0.0147446 0.0453793i
\(695\) −6.64535 14.7397i −0.252072 0.559108i
\(696\) −0.0268225 + 4.26145i −0.00101670 + 0.161530i
\(697\) −26.3721 + 29.2892i −0.998915 + 1.10941i
\(698\) −0.368654 + 3.50751i −0.0139538 + 0.132761i
\(699\) 0.552008 + 2.67982i 0.0208789 + 0.101360i
\(700\) −30.1016 6.10443i −1.13773 0.230726i
\(701\) 47.5351 1.79538 0.897688 0.440631i \(-0.145245\pi\)
0.897688 + 0.440631i \(0.145245\pi\)
\(702\) −0.150748 + 7.98260i −0.00568963 + 0.301284i
\(703\) −0.590329 1.81685i −0.0222647 0.0685236i
\(704\) −25.3697 5.39249i −0.956156 0.203237i
\(705\) −15.9741 + 17.6835i −0.601618 + 0.665999i
\(706\) −3.83018 + 0.814131i −0.144151 + 0.0306402i
\(707\) −13.0603 22.6212i −0.491184 0.850756i
\(708\) 0.498769 0.677488i 0.0187449 0.0254616i
\(709\) 3.30725 + 31.4664i 0.124206 + 1.18174i 0.862068 + 0.506792i \(0.169169\pi\)
−0.737862 + 0.674952i \(0.764164\pi\)
\(710\) −0.0668976 0.0213908i −0.00251062 0.000802782i
\(711\) −5.82198 + 6.30452i −0.218341 + 0.236438i
\(712\) 10.4424 7.58686i 0.391346 0.284330i
\(713\) −0.299956 2.85389i −0.0112335 0.106879i
\(714\) −9.32439 + 0.920735i −0.348957 + 0.0344576i
\(715\) 48.4571 28.2798i 1.81219 1.05761i
\(716\) 9.90213 + 4.40871i 0.370060 + 0.164761i
\(717\) 2.34999 + 5.36886i 0.0877621 + 0.200504i
\(718\) 0.666113 1.15374i 0.0248591 0.0430573i
\(719\) −16.1827 + 49.8053i −0.603514 + 1.85742i −0.0968119 + 0.995303i \(0.530865\pi\)
−0.506702 + 0.862121i \(0.669135\pi\)
\(720\) −24.4583 + 2.37525i −0.911506 + 0.0885203i
\(721\) 10.7224 + 33.0002i 0.399324 + 1.22899i
\(722\) −3.83826 0.815848i −0.142845 0.0303627i
\(723\) −18.4322 25.7085i −0.685501 0.956110i
\(724\) 16.4266 + 28.4517i 0.610490 + 1.05740i
\(725\) 8.67721 9.82030i 0.322264 0.364717i
\(726\) −0.342113 1.66085i −0.0126970 0.0616398i
\(727\) 33.6167 14.9671i 1.24678 0.555100i 0.326065 0.945347i \(-0.394277\pi\)
0.920710 + 0.390247i \(0.127610\pi\)
\(728\) −5.91848 18.2152i −0.219353 0.675100i
\(729\) −26.9807 1.01941i −0.999287 0.0377558i
\(730\) 0.973432 0.321331i 0.0360283 0.0118930i
\(731\) −57.4339 63.7869i −2.12427 2.35924i
\(732\) 0.207732 + 1.00847i 0.00767800 + 0.0372742i
\(733\) −21.2694 + 4.52096i −0.785604 + 0.166985i −0.583213 0.812319i \(-0.698205\pi\)
−0.202391 + 0.979305i \(0.564871\pi\)
\(734\) 0.393776 + 0.175321i 0.0145346 + 0.00647120i
\(735\) 11.5878 + 0.0187121i 0.427421 + 0.000690207i
\(736\) 4.15285 1.84897i 0.153076 0.0681538i
\(737\) 11.7329 8.52446i 0.432187 0.314002i
\(738\) −2.00028 + 3.36601i −0.0736313 + 0.123905i
\(739\) 29.1586 + 21.1850i 1.07262 + 0.779302i 0.976381 0.216057i \(-0.0693196\pi\)
0.0962360 + 0.995359i \(0.469320\pi\)
\(740\) −2.15067 4.77029i −0.0790602 0.175359i
\(741\) −3.79643 + 17.3239i −0.139465 + 0.636410i
\(742\) 0.481139 0.102269i 0.0176632 0.00375443i
\(743\) 21.5435 + 37.3144i 0.790353 + 1.36893i 0.925748 + 0.378140i \(0.123436\pi\)
−0.135395 + 0.990792i \(0.543230\pi\)
\(744\) 1.13162 + 2.58534i 0.0414873 + 0.0947831i
\(745\) −28.8678 16.4872i −1.05764 0.604045i
\(746\) −0.482272 1.48428i −0.0176572 0.0543434i
\(747\) 0.404789 0.0807286i 0.0148104 0.00295371i
\(748\) 43.9366 + 31.9218i 1.60648 + 1.16718i
\(749\) −21.8042 + 37.7659i −0.796707 + 1.37994i
\(750\) −3.75045 2.68074i −0.136947 0.0978867i
\(751\) −6.79013 11.7609i −0.247775 0.429160i 0.715133 0.698989i \(-0.246366\pi\)
−0.962908 + 0.269829i \(0.913033\pi\)
\(752\) 2.35599 22.4158i 0.0859142 0.817419i
\(753\) 38.4800 21.8947i 1.40229 0.797887i
\(754\) 3.93913 + 0.837288i 0.143455 + 0.0304922i
\(755\) 0.136111 + 29.0875i 0.00495357 + 1.05860i
\(756\) 30.5379 9.28866i 1.11065 0.337825i
\(757\) −38.0734 −1.38380 −0.691901 0.721993i \(-0.743226\pi\)
−0.691901 + 0.721993i \(0.743226\pi\)
\(758\) 2.96316 + 3.29092i 0.107627 + 0.119532i
\(759\) −8.22581 7.50084i −0.298578 0.272263i
\(760\) 3.31341 + 0.332586i 0.120190 + 0.0120642i
\(761\) 4.27495 40.6734i 0.154967 1.47441i −0.590051 0.807366i \(-0.700892\pi\)
0.745018 0.667044i \(-0.232441\pi\)
\(762\) −6.64025 + 2.11143i −0.240551 + 0.0764892i
\(763\) −4.77483 45.4295i −0.172860 1.64466i
\(764\) −5.89956 4.28628i −0.213439 0.155072i
\(765\) 45.7443 + 15.2642i 1.65389 + 0.551879i
\(766\) −3.18316 + 2.31270i −0.115012 + 0.0835614i
\(767\) −1.07944 1.19885i −0.0389765 0.0432878i
\(768\) 15.0884 13.4146i 0.544455 0.484059i
\(769\) 37.9648 8.06966i 1.36904 0.290999i 0.536006 0.844214i \(-0.319933\pi\)
0.833038 + 0.553215i \(0.186599\pi\)
\(770\) 4.88157 + 4.35420i 0.175920 + 0.156914i