Properties

Label 45.2.e.b.16.1
Level $45$
Weight $2$
Character 45.16
Analytic conductor $0.359$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 45.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.359326809096\)
Analytic rank: \(0\)
Dimension: \(6\)
Relative dimension: \(3\) over \(\Q(\zeta_{3})\)
Coefficient field: 6.0.954288.1
Defining polynomial: \( x^{6} - x^{5} - 2x^{4} + 3x^{3} - 6x^{2} - 9x + 27 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 16.1
Root \(0.403374 - 1.68443i\) of defining polynomial
Character \(\chi\) \(=\) 45.16
Dual form 45.2.e.b.31.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.25707 + 2.17731i) q^{2} +(1.25707 + 1.19154i) q^{3} +(-2.16044 - 3.74200i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-4.17458 + 1.23917i) q^{6} +(0.257068 - 0.445256i) q^{7} +5.83502 q^{8} +(0.160442 + 2.99571i) q^{9} +O(q^{10})\) \(q+(-1.25707 + 2.17731i) q^{2} +(1.25707 + 1.19154i) q^{3} +(-2.16044 - 3.74200i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-4.17458 + 1.23917i) q^{6} +(0.257068 - 0.445256i) q^{7} +5.83502 q^{8} +(0.160442 + 2.99571i) q^{9} +2.51414 q^{10} +(1.66044 - 2.87597i) q^{11} +(1.74293 - 7.27821i) q^{12} +(0.660442 + 1.14392i) q^{13} +(0.646305 + 1.11943i) q^{14} +(0.403374 - 1.68443i) q^{15} +(-3.01414 + 5.22064i) q^{16} -3.32088 q^{17} +(-6.72426 - 3.41648i) q^{18} -1.32088 q^{19} +(-2.16044 + 3.74200i) q^{20} +(0.853695 - 0.253408i) q^{21} +(4.17458 + 7.23058i) q^{22} +(-2.06382 - 3.57463i) q^{23} +(7.33502 + 6.95269i) q^{24} +(-0.500000 + 0.866025i) q^{25} -3.32088 q^{26} +(-3.36783 + 3.95698i) q^{27} -2.22153 q^{28} +(0.693252 - 1.20075i) q^{29} +(3.16044 + 2.99571i) q^{30} +(-4.36783 - 7.56531i) q^{31} +(-1.74293 - 3.01885i) q^{32} +(5.51414 - 1.63680i) q^{33} +(4.17458 - 7.23058i) q^{34} -0.514137 q^{35} +(10.8633 - 7.07243i) q^{36} +0.292611 q^{37} +(1.66044 - 2.87597i) q^{38} +(-0.532810 + 2.22493i) q^{39} +(-2.91751 - 5.05328i) q^{40} +(5.67458 + 9.82866i) q^{41} +(-0.521405 + 2.17731i) q^{42} +(-5.17458 + 8.96263i) q^{43} -14.3492 q^{44} +(2.51414 - 1.63680i) q^{45} +10.3774 q^{46} +(2.43165 - 4.21174i) q^{47} +(-10.0096 + 2.97122i) q^{48} +(3.36783 + 5.83326i) q^{49} +(-1.25707 - 2.17731i) q^{50} +(-4.17458 - 3.95698i) q^{51} +(2.85369 - 4.94274i) q^{52} -5.02827 q^{53} +(-4.38197 - 12.3070i) q^{54} -3.32088 q^{55} +(1.50000 - 2.59808i) q^{56} +(-1.66044 - 1.57389i) q^{57} +(1.74293 + 3.01885i) q^{58} +(2.51414 + 4.35461i) q^{59} +(-7.17458 + 2.12968i) q^{60} +(-3.67458 + 6.36456i) q^{61} +21.9627 q^{62} +(1.37510 + 0.698664i) q^{63} -3.29261 q^{64} +(0.660442 - 1.14392i) q^{65} +(-3.36783 + 14.0635i) q^{66} +(-4.72426 - 8.18266i) q^{67} +(7.17458 + 12.4267i) q^{68} +(1.66498 - 6.95269i) q^{69} +(0.646305 - 1.11943i) q^{70} +8.99093 q^{71} +(0.936184 + 17.4800i) q^{72} +6.05655 q^{73} +(-0.367832 + 0.637103i) q^{74} +(-1.66044 + 0.492881i) q^{75} +(2.85369 + 4.94274i) q^{76} +(-0.853695 - 1.47864i) q^{77} +(-4.17458 - 3.95698i) q^{78} +(4.02827 - 6.97717i) q^{79} +6.02827 q^{80} +(-8.94852 + 0.961276i) q^{81} -28.5333 q^{82} +(-0.771205 + 1.33577i) q^{83} +(-2.79261 - 2.64705i) q^{84} +(1.66044 + 2.87597i) q^{85} +(-13.0096 - 22.5333i) q^{86} +(2.30221 - 0.683382i) q^{87} +(9.68872 - 16.7813i) q^{88} -3.00000 q^{89} +(0.403374 + 7.53162i) q^{90} +0.679116 q^{91} +(-8.91751 + 15.4456i) q^{92} +(3.52374 - 14.7146i) q^{93} +(6.11350 + 10.5889i) q^{94} +(0.660442 + 1.14392i) q^{95} +(1.40611 - 5.87168i) q^{96} +(6.12763 - 10.6134i) q^{97} -16.9344 q^{98} +(8.88197 + 4.51277i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - q^{2} + q^{3} - 5 q^{4} - 3 q^{5} - 4 q^{6} - 5 q^{7} + 6 q^{8} - 7 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - q^{2} + q^{3} - 5 q^{4} - 3 q^{5} - 4 q^{6} - 5 q^{7} + 6 q^{8} - 7 q^{9} + 2 q^{10} + 2 q^{11} + 17 q^{12} - 4 q^{13} + 9 q^{14} + q^{15} - 5 q^{16} - 4 q^{17} - 23 q^{18} + 8 q^{19} - 5 q^{20} + 4 q^{22} - 3 q^{23} + 15 q^{24} - 3 q^{25} - 4 q^{26} - 2 q^{27} + 10 q^{28} + 7 q^{29} + 11 q^{30} - 8 q^{31} - 17 q^{32} + 20 q^{33} + 4 q^{34} + 10 q^{35} + 10 q^{36} + 12 q^{37} + 2 q^{38} - 14 q^{39} - 3 q^{40} + 13 q^{41} - 33 q^{42} - 10 q^{43} - 44 q^{44} + 2 q^{45} - 6 q^{46} - 13 q^{47} - 10 q^{48} + 2 q^{49} - q^{50} - 4 q^{51} + 12 q^{52} - 4 q^{53} + 5 q^{54} - 4 q^{55} + 9 q^{56} - 2 q^{57} + 17 q^{58} + 2 q^{59} - 22 q^{60} - q^{61} + 84 q^{62} + 33 q^{63} - 30 q^{64} - 4 q^{65} - 2 q^{66} - 11 q^{67} + 22 q^{68} + 39 q^{69} + 9 q^{70} - 20 q^{71} + 15 q^{72} - 16 q^{73} + 16 q^{74} - 2 q^{75} + 12 q^{76} - 4 q^{78} - 2 q^{79} + 10 q^{80} - 19 q^{81} - 58 q^{82} + 15 q^{83} - 27 q^{84} + 2 q^{85} - 28 q^{86} - 26 q^{87} + 24 q^{88} - 18 q^{89} + q^{90} + 20 q^{91} - 39 q^{92} - 42 q^{93} + 31 q^{94} - 4 q^{95} + 13 q^{96} + 18 q^{97} - 80 q^{98} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).

\(n\) \(11\) \(37\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25707 + 2.17731i −0.888882 + 1.53959i −0.0476826 + 0.998863i \(0.515184\pi\)
−0.841199 + 0.540726i \(0.818150\pi\)
\(3\) 1.25707 + 1.19154i 0.725769 + 0.687939i
\(4\) −2.16044 3.74200i −1.08022 1.87100i
\(5\) −0.500000 0.866025i −0.223607 0.387298i
\(6\) −4.17458 + 1.23917i −1.70426 + 0.505889i
\(7\) 0.257068 0.445256i 0.0971627 0.168291i −0.813346 0.581780i \(-0.802357\pi\)
0.910509 + 0.413489i \(0.135690\pi\)
\(8\) 5.83502 2.06299
\(9\) 0.160442 + 2.99571i 0.0534807 + 0.998569i
\(10\) 2.51414 0.795040
\(11\) 1.66044 2.87597i 0.500642 0.867138i −0.499358 0.866396i \(-0.666431\pi\)
1.00000 0.000741679i \(-0.000236084\pi\)
\(12\) 1.74293 7.27821i 0.503141 2.10104i
\(13\) 0.660442 + 1.14392i 0.183174 + 0.317266i 0.942960 0.332907i \(-0.108030\pi\)
−0.759786 + 0.650173i \(0.774696\pi\)
\(14\) 0.646305 + 1.11943i 0.172732 + 0.299181i
\(15\) 0.403374 1.68443i 0.104151 0.434917i
\(16\) −3.01414 + 5.22064i −0.753534 + 1.30516i
\(17\) −3.32088 −0.805433 −0.402716 0.915325i \(-0.631934\pi\)
−0.402716 + 0.915325i \(0.631934\pi\)
\(18\) −6.72426 3.41648i −1.58492 0.805271i
\(19\) −1.32088 −0.303032 −0.151516 0.988455i \(-0.548415\pi\)
−0.151516 + 0.988455i \(0.548415\pi\)
\(20\) −2.16044 + 3.74200i −0.483090 + 0.836736i
\(21\) 0.853695 0.253408i 0.186291 0.0552982i
\(22\) 4.17458 + 7.23058i 0.890023 + 1.54157i
\(23\) −2.06382 3.57463i −0.430335 0.745363i 0.566567 0.824016i \(-0.308271\pi\)
−0.996902 + 0.0786532i \(0.974938\pi\)
\(24\) 7.33502 + 6.95269i 1.49725 + 1.41921i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −3.32088 −0.651279
\(27\) −3.36783 + 3.95698i −0.648139 + 0.761522i
\(28\) −2.22153 −0.419829
\(29\) 0.693252 1.20075i 0.128734 0.222973i −0.794453 0.607326i \(-0.792242\pi\)
0.923186 + 0.384353i \(0.125575\pi\)
\(30\) 3.16044 + 2.99571i 0.577015 + 0.546939i
\(31\) −4.36783 7.56531i −0.784486 1.35877i −0.929306 0.369311i \(-0.879594\pi\)
0.144820 0.989458i \(-0.453740\pi\)
\(32\) −1.74293 3.01885i −0.308110 0.533662i
\(33\) 5.51414 1.63680i 0.959888 0.284930i
\(34\) 4.17458 7.23058i 0.715934 1.24003i
\(35\) −0.514137 −0.0869050
\(36\) 10.8633 7.07243i 1.81055 1.17874i
\(37\) 0.292611 0.0481049 0.0240524 0.999711i \(-0.492343\pi\)
0.0240524 + 0.999711i \(0.492343\pi\)
\(38\) 1.66044 2.87597i 0.269359 0.466544i
\(39\) −0.532810 + 2.22493i −0.0853179 + 0.356274i
\(40\) −2.91751 5.05328i −0.461299 0.798993i
\(41\) 5.67458 + 9.82866i 0.886220 + 1.53498i 0.844308 + 0.535857i \(0.180012\pi\)
0.0419119 + 0.999121i \(0.486655\pi\)
\(42\) −0.521405 + 2.17731i −0.0804546 + 0.335966i
\(43\) −5.17458 + 8.96263i −0.789116 + 1.36679i 0.137393 + 0.990517i \(0.456128\pi\)
−0.926509 + 0.376272i \(0.877206\pi\)
\(44\) −14.3492 −2.16322
\(45\) 2.51414 1.63680i 0.374785 0.244000i
\(46\) 10.3774 1.53007
\(47\) 2.43165 4.21174i 0.354692 0.614345i −0.632373 0.774664i \(-0.717919\pi\)
0.987065 + 0.160319i \(0.0512523\pi\)
\(48\) −10.0096 + 2.97122i −1.44476 + 0.428859i
\(49\) 3.36783 + 5.83326i 0.481119 + 0.833322i
\(50\) −1.25707 2.17731i −0.177776 0.307918i
\(51\) −4.17458 3.95698i −0.584558 0.554088i
\(52\) 2.85369 4.94274i 0.395736 0.685435i
\(53\) −5.02827 −0.690687 −0.345343 0.938476i \(-0.612238\pi\)
−0.345343 + 0.938476i \(0.612238\pi\)
\(54\) −4.38197 12.3070i −0.596310 1.67477i
\(55\) −3.32088 −0.447788
\(56\) 1.50000 2.59808i 0.200446 0.347183i
\(57\) −1.66044 1.57389i −0.219931 0.208467i
\(58\) 1.74293 + 3.01885i 0.228858 + 0.396394i
\(59\) 2.51414 + 4.35461i 0.327313 + 0.566922i 0.981978 0.188997i \(-0.0605236\pi\)
−0.654665 + 0.755919i \(0.727190\pi\)
\(60\) −7.17458 + 2.12968i −0.926234 + 0.274941i
\(61\) −3.67458 + 6.36456i −0.470482 + 0.814898i −0.999430 0.0337558i \(-0.989253\pi\)
0.528948 + 0.848654i \(0.322586\pi\)
\(62\) 21.9627 2.78926
\(63\) 1.37510 + 0.698664i 0.173246 + 0.0880234i
\(64\) −3.29261 −0.411576
\(65\) 0.660442 1.14392i 0.0819178 0.141886i
\(66\) −3.36783 + 14.0635i −0.414551 + 1.73110i
\(67\) −4.72426 8.18266i −0.577160 0.999670i −0.995803 0.0915197i \(-0.970828\pi\)
0.418643 0.908151i \(-0.362506\pi\)
\(68\) 7.17458 + 12.4267i 0.870046 + 1.50696i
\(69\) 1.66498 6.95269i 0.200440 0.837005i
\(70\) 0.646305 1.11943i 0.0772483 0.133798i
\(71\) 8.99093 1.06703 0.533513 0.845792i \(-0.320871\pi\)
0.533513 + 0.845792i \(0.320871\pi\)
\(72\) 0.936184 + 17.4800i 0.110330 + 2.06004i
\(73\) 6.05655 0.708865 0.354433 0.935082i \(-0.384674\pi\)
0.354433 + 0.935082i \(0.384674\pi\)
\(74\) −0.367832 + 0.637103i −0.0427596 + 0.0740617i
\(75\) −1.66044 + 0.492881i −0.191731 + 0.0569130i
\(76\) 2.85369 + 4.94274i 0.327341 + 0.566972i
\(77\) −0.853695 1.47864i −0.0972875 0.168507i
\(78\) −4.17458 3.95698i −0.472678 0.448040i
\(79\) 4.02827 6.97717i 0.453216 0.784994i −0.545367 0.838197i \(-0.683610\pi\)
0.998584 + 0.0532036i \(0.0169432\pi\)
\(80\) 6.02827 0.673982
\(81\) −8.94852 + 0.961276i −0.994280 + 0.106808i
\(82\) −28.5333 −3.15098
\(83\) −0.771205 + 1.33577i −0.0846508 + 0.146619i −0.905242 0.424896i \(-0.860311\pi\)
0.820592 + 0.571515i \(0.193644\pi\)
\(84\) −2.79261 2.64705i −0.304699 0.288817i
\(85\) 1.66044 + 2.87597i 0.180100 + 0.311943i
\(86\) −13.0096 22.5333i −1.40286 2.42983i
\(87\) 2.30221 0.683382i 0.246823 0.0732662i
\(88\) 9.68872 16.7813i 1.03282 1.78890i
\(89\) −3.00000 −0.317999 −0.159000 0.987279i \(-0.550827\pi\)
−0.159000 + 0.987279i \(0.550827\pi\)
\(90\) 0.403374 + 7.53162i 0.0425193 + 0.793902i
\(91\) 0.679116 0.0711906
\(92\) −8.91751 + 15.4456i −0.929715 + 1.61031i
\(93\) 3.52374 14.7146i 0.365395 1.52583i
\(94\) 6.11350 + 10.5889i 0.630559 + 1.09216i
\(95\) 0.660442 + 1.14392i 0.0677599 + 0.117364i
\(96\) 1.40611 5.87168i 0.143510 0.599276i
\(97\) 6.12763 10.6134i 0.622167 1.07762i −0.366915 0.930255i \(-0.619586\pi\)
0.989081 0.147370i \(-0.0470808\pi\)
\(98\) −16.9344 −1.71063
\(99\) 8.88197 + 4.51277i 0.892671 + 0.453551i
\(100\) 4.32088 0.432088
\(101\) −5.83502 + 10.1066i −0.580606 + 1.00564i 0.414801 + 0.909912i \(0.363851\pi\)
−0.995408 + 0.0957276i \(0.969482\pi\)
\(102\) 13.8633 4.11514i 1.37267 0.407460i
\(103\) −0.146305 0.253408i −0.0144159 0.0249691i 0.858727 0.512433i \(-0.171256\pi\)
−0.873143 + 0.487464i \(0.837922\pi\)
\(104\) 3.85369 + 6.67479i 0.377886 + 0.654517i
\(105\) −0.646305 0.612617i −0.0630729 0.0597853i
\(106\) 6.32088 10.9481i 0.613939 1.06337i
\(107\) 1.87237 0.181009 0.0905043 0.995896i \(-0.471152\pi\)
0.0905043 + 0.995896i \(0.471152\pi\)
\(108\) 22.0830 + 4.05358i 2.12494 + 0.390056i
\(109\) 5.54787 0.531390 0.265695 0.964057i \(-0.414399\pi\)
0.265695 + 0.964057i \(0.414399\pi\)
\(110\) 4.17458 7.23058i 0.398031 0.689409i
\(111\) 0.367832 + 0.348659i 0.0349130 + 0.0330932i
\(112\) 1.54968 + 2.68412i 0.146431 + 0.253626i
\(113\) −3.90064 6.75611i −0.366942 0.635561i 0.622144 0.782903i \(-0.286262\pi\)
−0.989086 + 0.147341i \(0.952928\pi\)
\(114\) 5.51414 1.63680i 0.516446 0.153300i
\(115\) −2.06382 + 3.57463i −0.192452 + 0.333336i
\(116\) −5.99093 −0.556244
\(117\) −3.32088 + 2.16202i −0.307016 + 0.199879i
\(118\) −12.6418 −1.16377
\(119\) −0.853695 + 1.47864i −0.0782581 + 0.135547i
\(120\) 2.35369 9.82866i 0.214862 0.897230i
\(121\) −0.0141369 0.0244859i −0.00128518 0.00222599i
\(122\) −9.23840 16.0014i −0.836405 1.44870i
\(123\) −4.57795 + 19.1168i −0.412780 + 1.72370i
\(124\) −18.8729 + 32.6888i −1.69484 + 2.93554i
\(125\) 1.00000 0.0894427
\(126\) −3.24980 + 2.11575i −0.289515 + 0.188486i
\(127\) 17.8916 1.58762 0.793810 0.608166i \(-0.208094\pi\)
0.793810 + 0.608166i \(0.208094\pi\)
\(128\) 7.62490 13.2067i 0.673952 1.16732i
\(129\) −17.1842 + 5.10090i −1.51298 + 0.449109i
\(130\) 1.66044 + 2.87597i 0.145630 + 0.252239i
\(131\) 3.00000 + 5.19615i 0.262111 + 0.453990i 0.966803 0.255524i \(-0.0822479\pi\)
−0.704692 + 0.709514i \(0.748915\pi\)
\(132\) −18.0379 17.0977i −1.57000 1.48816i
\(133\) −0.339558 + 0.588131i −0.0294434 + 0.0509974i
\(134\) 23.7549 2.05211
\(135\) 5.11076 + 0.938136i 0.439864 + 0.0807419i
\(136\) −19.3774 −1.66160
\(137\) −2.83502 + 4.91040i −0.242212 + 0.419524i −0.961344 0.275350i \(-0.911206\pi\)
0.719132 + 0.694874i \(0.244540\pi\)
\(138\) 13.0451 + 12.3652i 1.11048 + 1.05259i
\(139\) −4.00000 6.92820i −0.339276 0.587643i 0.645021 0.764165i \(-0.276849\pi\)
−0.984297 + 0.176522i \(0.943515\pi\)
\(140\) 1.11076 + 1.92390i 0.0938766 + 0.162599i
\(141\) 8.07522 2.39703i 0.680056 0.201866i
\(142\) −11.3022 + 19.5760i −0.948460 + 1.64278i
\(143\) 4.38650 0.366818
\(144\) −16.1231 8.19186i −1.34359 0.682655i
\(145\) −1.38650 −0.115143
\(146\) −7.61350 + 13.1870i −0.630097 + 1.09136i
\(147\) −2.71699 + 11.3457i −0.224094 + 0.935780i
\(148\) −0.632168 1.09495i −0.0519639 0.0900042i
\(149\) −8.83049 15.2948i −0.723422 1.25300i −0.959620 0.281298i \(-0.909235\pi\)
0.236199 0.971705i \(-0.424098\pi\)
\(150\) 1.01414 4.23488i 0.0828039 0.345776i
\(151\) −0.632168 + 1.09495i −0.0514451 + 0.0891056i −0.890601 0.454785i \(-0.849716\pi\)
0.839156 + 0.543891i \(0.183049\pi\)
\(152\) −7.70739 −0.625152
\(153\) −0.532810 9.94840i −0.0430752 0.804280i
\(154\) 4.29261 0.345908
\(155\) −4.36783 + 7.56531i −0.350833 + 0.607660i
\(156\) 9.47679 2.81306i 0.758750 0.225225i
\(157\) 7.83502 + 13.5707i 0.625303 + 1.08306i 0.988482 + 0.151337i \(0.0483579\pi\)
−0.363179 + 0.931719i \(0.618309\pi\)
\(158\) 10.1276 + 17.5416i 0.805711 + 1.39553i
\(159\) −6.32088 5.99141i −0.501279 0.475150i
\(160\) −1.74293 + 3.01885i −0.137791 + 0.238661i
\(161\) −2.12217 −0.167250
\(162\) 9.15591 20.6921i 0.719356 1.62572i
\(163\) 15.7074 1.23030 0.615149 0.788411i \(-0.289096\pi\)
0.615149 + 0.788411i \(0.289096\pi\)
\(164\) 24.5192 42.4685i 1.91463 3.31623i
\(165\) −4.17458 3.95698i −0.324991 0.308051i
\(166\) −1.93892 3.35830i −0.150489 0.260655i
\(167\) −3.08249 5.33903i −0.238530 0.413146i 0.721763 0.692141i \(-0.243332\pi\)
−0.960293 + 0.278994i \(0.909999\pi\)
\(168\) 4.98133 1.47864i 0.384318 0.114080i
\(169\) 5.62763 9.74734i 0.432895 0.749796i
\(170\) −8.34916 −0.640351
\(171\) −0.211926 3.95698i −0.0162064 0.302598i
\(172\) 44.7175 3.40968
\(173\) −4.29261 + 7.43502i −0.326361 + 0.565274i −0.981787 0.189986i \(-0.939156\pi\)
0.655426 + 0.755260i \(0.272489\pi\)
\(174\) −1.40611 + 5.87168i −0.106597 + 0.445131i
\(175\) 0.257068 + 0.445256i 0.0194325 + 0.0336582i
\(176\) 10.0096 + 17.3371i 0.754502 + 1.30684i
\(177\) −2.02827 + 8.46975i −0.152454 + 0.636626i
\(178\) 3.77121 6.53192i 0.282664 0.489588i
\(179\) −1.06562 −0.0796482 −0.0398241 0.999207i \(-0.512680\pi\)
−0.0398241 + 0.999207i \(0.512680\pi\)
\(180\) −11.5565 5.87168i −0.861374 0.437649i
\(181\) −12.6700 −0.941757 −0.470878 0.882198i \(-0.656063\pi\)
−0.470878 + 0.882198i \(0.656063\pi\)
\(182\) −0.853695 + 1.47864i −0.0632801 + 0.109604i
\(183\) −12.2029 + 3.62226i −0.902061 + 0.267765i
\(184\) −12.0424 20.8581i −0.887778 1.53768i
\(185\) −0.146305 0.253408i −0.0107566 0.0186309i
\(186\) 27.6086 + 26.1695i 2.02436 + 1.91884i
\(187\) −5.51414 + 9.55077i −0.403234 + 0.698421i
\(188\) −21.0137 −1.53258
\(189\) 0.896105 + 2.51676i 0.0651821 + 0.183067i
\(190\) −3.32088 −0.240922
\(191\) 8.46719 14.6656i 0.612664 1.06117i −0.378125 0.925754i \(-0.623431\pi\)
0.990789 0.135411i \(-0.0432356\pi\)
\(192\) −4.13904 3.92329i −0.298709 0.283139i
\(193\) −13.3588 23.1380i −0.961585 1.66551i −0.718524 0.695502i \(-0.755182\pi\)
−0.243060 0.970011i \(-0.578151\pi\)
\(194\) 15.4057 + 26.6835i 1.10607 + 1.91576i
\(195\) 2.19325 0.651039i 0.157062 0.0466218i
\(196\) 14.5520 25.2048i 1.03943 1.80034i
\(197\) −14.2553 −1.01565 −0.507823 0.861462i \(-0.669550\pi\)
−0.507823 + 0.861462i \(0.669550\pi\)
\(198\) −20.9909 + 13.6659i −1.49176 + 0.971194i
\(199\) −24.6610 −1.74817 −0.874085 0.485773i \(-0.838538\pi\)
−0.874085 + 0.485773i \(0.838538\pi\)
\(200\) −2.91751 + 5.05328i −0.206299 + 0.357321i
\(201\) 3.81128 15.9153i 0.268827 1.12258i
\(202\) −14.6700 25.4093i −1.03218 1.78779i
\(203\) −0.356427 0.617349i −0.0250162 0.0433294i
\(204\) −5.78807 + 24.1701i −0.405246 + 1.69224i
\(205\) 5.67458 9.82866i 0.396330 0.686463i
\(206\) 0.735663 0.0512561
\(207\) 10.3774 6.75611i 0.721281 0.469582i
\(208\) −7.96265 −0.552111
\(209\) −2.19325 + 3.79882i −0.151710 + 0.262770i
\(210\) 2.14631 0.637103i 0.148109 0.0439643i
\(211\) 2.68872 + 4.65699i 0.185099 + 0.320601i 0.943610 0.331060i \(-0.107406\pi\)
−0.758511 + 0.651660i \(0.774073\pi\)
\(212\) 10.8633 + 18.8158i 0.746094 + 1.29227i
\(213\) 11.3022 + 10.7131i 0.774415 + 0.734049i
\(214\) −2.35369 + 4.07672i −0.160895 + 0.278679i
\(215\) 10.3492 0.705807
\(216\) −19.6514 + 23.0891i −1.33711 + 1.57101i
\(217\) −4.49133 −0.304891
\(218\) −6.97406 + 12.0794i −0.472343 + 0.818122i
\(219\) 7.61350 + 7.21665i 0.514472 + 0.487656i
\(220\) 7.17458 + 12.4267i 0.483710 + 0.837810i
\(221\) −2.19325 3.79882i −0.147534 0.255537i
\(222\) −1.22153 + 0.362594i −0.0819835 + 0.0243357i
\(223\) −4.33229 + 7.50375i −0.290112 + 0.502488i −0.973836 0.227252i \(-0.927026\pi\)
0.683724 + 0.729740i \(0.260359\pi\)
\(224\) −1.79221 −0.119747
\(225\) −2.67458 1.35891i −0.178305 0.0905938i
\(226\) 19.6135 1.30467
\(227\) −1.66044 + 2.87597i −0.110207 + 0.190885i −0.915854 0.401512i \(-0.868485\pi\)
0.805646 + 0.592397i \(0.201818\pi\)
\(228\) −2.30221 + 9.61367i −0.152468 + 0.636681i
\(229\) 12.6559 + 21.9207i 0.836326 + 1.44856i 0.892946 + 0.450163i \(0.148634\pi\)
−0.0566206 + 0.998396i \(0.518033\pi\)
\(230\) −5.18872 8.98712i −0.342134 0.592593i
\(231\) 0.688716 2.87597i 0.0453142 0.189225i
\(232\) 4.04514 7.00639i 0.265577 0.459992i
\(233\) 27.6327 1.81028 0.905139 0.425116i \(-0.139767\pi\)
0.905139 + 0.425116i \(0.139767\pi\)
\(234\) −0.532810 9.94840i −0.0348309 0.650347i
\(235\) −4.86330 −0.317246
\(236\) 10.8633 18.8158i 0.707140 1.22480i
\(237\) 13.3774 3.97092i 0.868958 0.257939i
\(238\) −2.14631 3.71751i −0.139124 0.240970i
\(239\) 2.09936 + 3.63620i 0.135796 + 0.235206i 0.925901 0.377765i \(-0.123307\pi\)
−0.790105 + 0.612971i \(0.789974\pi\)
\(240\) 7.57795 + 7.18296i 0.489155 + 0.463658i
\(241\) −1.80221 + 3.12152i −0.116091 + 0.201075i −0.918215 0.396082i \(-0.870370\pi\)
0.802125 + 0.597157i \(0.203703\pi\)
\(242\) 0.0710844 0.00456948
\(243\) −12.3943 9.45417i −0.795095 0.606485i
\(244\) 31.7549 2.03290
\(245\) 3.36783 5.83326i 0.215163 0.372673i
\(246\) −35.8684 33.9987i −2.28688 2.16768i
\(247\) −0.872368 1.51099i −0.0555074 0.0961417i
\(248\) −25.4864 44.1437i −1.61839 2.80313i
\(249\) −2.56108 + 0.760225i −0.162302 + 0.0481773i
\(250\) −1.25707 + 2.17731i −0.0795040 + 0.137705i
\(251\) −6.87783 −0.434125 −0.217062 0.976158i \(-0.569648\pi\)
−0.217062 + 0.976158i \(0.569648\pi\)
\(252\) −0.356427 6.65504i −0.0224528 0.419228i
\(253\) −13.7074 −0.861776
\(254\) −22.4909 + 38.9554i −1.41121 + 2.44428i
\(255\) −1.33956 + 5.59378i −0.0838864 + 0.350296i
\(256\) 15.8774 + 27.5005i 0.992340 + 1.71878i
\(257\) 9.00000 + 15.5885i 0.561405 + 0.972381i 0.997374 + 0.0724199i \(0.0230722\pi\)
−0.435970 + 0.899961i \(0.643595\pi\)
\(258\) 10.4955 43.8274i 0.653419 2.72858i
\(259\) 0.0752210 0.130287i 0.00467400 0.00809561i
\(260\) −5.70739 −0.353957
\(261\) 3.70832 + 1.88413i 0.229539 + 0.116625i
\(262\) −15.0848 −0.931943
\(263\) −3.11803 + 5.40059i −0.192266 + 0.333015i −0.946001 0.324164i \(-0.894917\pi\)
0.753735 + 0.657179i \(0.228250\pi\)
\(264\) 32.1751 9.55077i 1.98024 0.587809i
\(265\) 2.51414 + 4.35461i 0.154442 + 0.267502i
\(266\) −0.853695 1.47864i −0.0523434 0.0906614i
\(267\) −3.77121 3.57463i −0.230794 0.218764i
\(268\) −20.4130 + 35.3563i −1.24692 + 2.15973i
\(269\) 9.92345 0.605044 0.302522 0.953142i \(-0.402172\pi\)
0.302522 + 0.953142i \(0.402172\pi\)
\(270\) −8.46719 + 9.94840i −0.515297 + 0.605440i
\(271\) 6.60442 0.401190 0.200595 0.979674i \(-0.435712\pi\)
0.200595 + 0.979674i \(0.435712\pi\)
\(272\) 10.0096 17.3371i 0.606921 1.05122i
\(273\) 0.853695 + 0.809197i 0.0516680 + 0.0489748i
\(274\) −7.12763 12.3454i −0.430596 0.745814i
\(275\) 1.66044 + 2.87597i 0.100128 + 0.173428i
\(276\) −29.6140 + 8.79054i −1.78255 + 0.529128i
\(277\) −11.3305 + 19.6250i −0.680783 + 1.17915i 0.293959 + 0.955818i \(0.405027\pi\)
−0.974742 + 0.223333i \(0.928306\pi\)
\(278\) 20.1131 1.20630
\(279\) 21.9627 14.2985i 1.31487 0.856031i
\(280\) −3.00000 −0.179284
\(281\) 7.77394 13.4649i 0.463754 0.803246i −0.535390 0.844605i \(-0.679835\pi\)
0.999144 + 0.0413590i \(0.0131687\pi\)
\(282\) −4.93205 + 20.5955i −0.293699 + 1.22644i
\(283\) −0.322689 0.558913i −0.0191819 0.0332240i 0.856275 0.516520i \(-0.172773\pi\)
−0.875457 + 0.483296i \(0.839439\pi\)
\(284\) −19.4244 33.6440i −1.15262 1.99640i
\(285\) −0.532810 + 2.22493i −0.0315610 + 0.131794i
\(286\) −5.51414 + 9.55077i −0.326058 + 0.564749i
\(287\) 5.83502 0.344430
\(288\) 8.76394 5.70566i 0.516420 0.336209i
\(289\) −5.97173 −0.351278
\(290\) 1.74293 3.01885i 0.102348 0.177273i
\(291\) 20.3492 6.04039i 1.19289 0.354094i
\(292\) −13.0848 22.6636i −0.765731 1.32629i
\(293\) 0.688716 + 1.19289i 0.0402352 + 0.0696895i 0.885442 0.464750i \(-0.153856\pi\)
−0.845207 + 0.534440i \(0.820523\pi\)
\(294\) −21.2877 20.1781i −1.24152 1.17681i
\(295\) 2.51414 4.35461i 0.146379 0.253535i
\(296\) 1.70739 0.0992400
\(297\) 5.78807 + 16.2561i 0.335858 + 0.943276i
\(298\) 44.4021 2.57214
\(299\) 2.72606 4.72168i 0.157652 0.273062i
\(300\) 5.43165 + 5.14853i 0.313596 + 0.297250i
\(301\) 2.66044 + 4.60802i 0.153345 + 0.265602i
\(302\) −1.58936 2.75285i −0.0914573 0.158409i
\(303\) −19.3774 + 5.75194i −1.11320 + 0.330440i
\(304\) 3.98133 6.89586i 0.228345 0.395505i
\(305\) 7.34916 0.420812
\(306\) 22.3305 + 11.3457i 1.27655 + 0.648592i
\(307\) −7.98546 −0.455754 −0.227877 0.973690i \(-0.573178\pi\)
−0.227877 + 0.973690i \(0.573178\pi\)
\(308\) −3.68872 + 6.38904i −0.210184 + 0.364050i
\(309\) 0.118031 0.492881i 0.00671458 0.0280390i
\(310\) −10.9813 19.0202i −0.623697 1.08028i
\(311\) −4.81635 8.34216i −0.273110 0.473040i 0.696547 0.717512i \(-0.254719\pi\)
−0.969657 + 0.244471i \(0.921386\pi\)
\(312\) −3.10896 + 12.9825i −0.176010 + 0.734991i
\(313\) 12.2685 21.2496i 0.693455 1.20110i −0.277244 0.960800i \(-0.589421\pi\)
0.970699 0.240300i \(-0.0772458\pi\)
\(314\) −39.3966 −2.22328
\(315\) −0.0824893 1.54020i −0.00464774 0.0867806i
\(316\) −34.8114 −1.95829
\(317\) 10.1746 17.6229i 0.571461 0.989800i −0.424955 0.905215i \(-0.639710\pi\)
0.996416 0.0845855i \(-0.0269566\pi\)
\(318\) 20.9909 6.23089i 1.17711 0.349411i
\(319\) −2.30221 3.98755i −0.128899 0.223260i
\(320\) 1.64631 + 2.85148i 0.0920313 + 0.159403i
\(321\) 2.35369 + 2.23101i 0.131370 + 0.124523i
\(322\) 2.66771 4.62061i 0.148666 0.257497i
\(323\) 4.38650 0.244072
\(324\) 22.9298 + 31.4085i 1.27388 + 1.74492i
\(325\) −1.32088 −0.0732695
\(326\) −19.7453 + 34.1998i −1.09359 + 1.89415i
\(327\) 6.97406 + 6.61054i 0.385666 + 0.365564i
\(328\) 33.1113 + 57.3504i 1.82827 + 3.16665i
\(329\) −1.25020 2.16541i −0.0689257 0.119383i
\(330\) 13.8633 4.11514i 0.763149 0.226531i
\(331\) −8.22153 + 14.2401i −0.451896 + 0.782707i −0.998504 0.0546819i \(-0.982586\pi\)
0.546608 + 0.837389i \(0.315919\pi\)
\(332\) 6.66458 0.365766
\(333\) 0.0469471 + 0.876576i 0.00257269 + 0.0480360i
\(334\) 15.4996 0.848100
\(335\) −4.72426 + 8.18266i −0.258114 + 0.447066i
\(336\) −1.25020 + 5.22064i −0.0682040 + 0.284809i
\(337\) −2.44852 4.24096i −0.133379 0.231020i 0.791598 0.611042i \(-0.209249\pi\)
−0.924977 + 0.380023i \(0.875916\pi\)
\(338\) 14.1486 + 24.5062i 0.769584 + 1.33296i
\(339\) 3.14683 13.1407i 0.170913 0.713704i
\(340\) 7.17458 12.4267i 0.389096 0.673934i
\(341\) −29.0101 −1.57099
\(342\) 8.88197 + 4.51277i 0.480282 + 0.244023i
\(343\) 7.06201 0.381313
\(344\) −30.1938 + 52.2972i −1.62794 + 2.81967i
\(345\) −6.85369 + 2.03443i −0.368991 + 0.109530i
\(346\) −10.7922 18.6927i −0.580193 1.00492i
\(347\) −11.1372 19.2903i −0.597878 1.03556i −0.993134 0.116984i \(-0.962677\pi\)
0.395256 0.918571i \(-0.370656\pi\)
\(348\) −7.53101 7.13846i −0.403704 0.382662i
\(349\) 1.47173 2.54910i 0.0787797 0.136450i −0.823944 0.566671i \(-0.808231\pi\)
0.902724 + 0.430221i \(0.141564\pi\)
\(350\) −1.29261 −0.0690929
\(351\) −6.75073 1.23917i −0.360327 0.0661420i
\(352\) −11.5761 −0.617011
\(353\) −9.41478 + 16.3069i −0.501098 + 0.867927i 0.498901 + 0.866659i \(0.333737\pi\)
−0.999999 + 0.00126845i \(0.999596\pi\)
\(354\) −15.8916 15.0632i −0.844627 0.800602i
\(355\) −4.49546 7.78637i −0.238594 0.413258i
\(356\) 6.48133 + 11.2260i 0.343510 + 0.594976i
\(357\) −2.83502 + 0.841540i −0.150045 + 0.0445390i
\(358\) 1.33956 2.32018i 0.0707978 0.122625i
\(359\) −31.8770 −1.68241 −0.841203 0.540720i \(-0.818152\pi\)
−0.841203 + 0.540720i \(0.818152\pi\)
\(360\) 14.6700 9.55077i 0.773179 0.503370i
\(361\) −17.2553 −0.908172
\(362\) 15.9271 27.5866i 0.837110 1.44992i
\(363\) 0.0114049 0.0476252i 0.000598604 0.00249968i
\(364\) −1.46719 2.54125i −0.0769016 0.133198i
\(365\) −3.02827 5.24512i −0.158507 0.274542i
\(366\) 7.45305 31.1228i 0.389577 1.62681i
\(367\) 9.17458 15.8908i 0.478909 0.829495i −0.520798 0.853680i \(-0.674366\pi\)
0.999708 + 0.0241848i \(0.00769900\pi\)
\(368\) 24.8825 1.29709
\(369\) −28.5333 + 18.5763i −1.48539 + 0.967044i
\(370\) 0.735663 0.0382453
\(371\) −1.29261 + 2.23887i −0.0671090 + 0.116236i
\(372\) −62.6747 + 18.6042i −3.24953 + 0.964582i
\(373\) 1.09936 + 1.90414i 0.0569226 + 0.0985929i 0.893083 0.449893i \(-0.148538\pi\)
−0.836160 + 0.548486i \(0.815205\pi\)
\(374\) −13.8633 24.0119i −0.716854 1.24163i
\(375\) 1.25707 + 1.19154i 0.0649147 + 0.0615311i
\(376\) 14.1887 24.5756i 0.731727 1.26739i
\(377\) 1.83141 0.0943226
\(378\) −6.60623 1.21265i −0.339788 0.0623717i
\(379\) 15.4713 0.794709 0.397354 0.917665i \(-0.369928\pi\)
0.397354 + 0.917665i \(0.369928\pi\)
\(380\) 2.85369 4.94274i 0.146391 0.253557i
\(381\) 22.4909 + 21.3186i 1.15225 + 1.09219i
\(382\) 21.2877 + 36.8713i 1.08917 + 1.88650i
\(383\) −3.85369 6.67479i −0.196915 0.341066i 0.750612 0.660743i \(-0.229759\pi\)
−0.947526 + 0.319677i \(0.896426\pi\)
\(384\) 25.3214 7.51633i 1.29218 0.383566i
\(385\) −0.853695 + 1.47864i −0.0435083 + 0.0753586i
\(386\) 67.1715 3.41894
\(387\) −27.6796 14.0635i −1.40704 0.714890i
\(388\) −52.9536 −2.68831
\(389\) 12.3163 21.3325i 0.624464 1.08160i −0.364181 0.931328i \(-0.618651\pi\)
0.988644 0.150274i \(-0.0480157\pi\)
\(390\) −1.33956 + 5.59378i −0.0678311 + 0.283252i
\(391\) 6.85369 + 11.8709i 0.346606 + 0.600340i
\(392\) 19.6514 + 34.0372i 0.992544 + 1.71914i
\(393\) −2.42024 + 10.1066i −0.122085 + 0.509808i
\(394\) 17.9198 31.0381i 0.902789 1.56368i
\(395\) −8.05655 −0.405369
\(396\) −2.30221 42.9859i −0.115690 2.16012i
\(397\) −6.77301 −0.339928 −0.169964 0.985450i \(-0.554365\pi\)
−0.169964 + 0.985450i \(0.554365\pi\)
\(398\) 31.0005 53.6945i 1.55392 2.69146i
\(399\) −1.12763 + 0.334723i −0.0564522 + 0.0167571i
\(400\) −3.01414 5.22064i −0.150707 0.261032i
\(401\) 9.24980 + 16.0211i 0.461913 + 0.800057i 0.999056 0.0434343i \(-0.0138299\pi\)
−0.537143 + 0.843491i \(0.680497\pi\)
\(402\) 29.8615 + 28.3050i 1.48936 + 1.41172i
\(403\) 5.76940 9.99290i 0.287394 0.497782i
\(404\) 50.4249 2.50873
\(405\) 5.30675 + 7.26900i 0.263694 + 0.361200i
\(406\) 1.79221 0.0889459
\(407\) 0.485863 0.841540i 0.0240833 0.0417136i
\(408\) −24.3588 23.0891i −1.20594 1.14308i
\(409\) 6.70739 + 11.6175i 0.331659 + 0.574450i 0.982837 0.184474i \(-0.0590583\pi\)
−0.651178 + 0.758925i \(0.725725\pi\)
\(410\) 14.2667 + 24.7106i 0.704581 + 1.22037i
\(411\) −9.41478 + 2.79466i −0.464397 + 0.137850i
\(412\) −0.632168 + 1.09495i −0.0311447 + 0.0539442i
\(413\) 2.58522 0.127210
\(414\) 1.66498 + 31.0877i 0.0818292 + 1.52788i
\(415\) 1.54241 0.0757140
\(416\) 2.30221 3.98755i 0.112875 0.195506i
\(417\) 3.22699 13.4754i 0.158026 0.659893i
\(418\) −5.51414 9.55077i −0.269705 0.467143i
\(419\) 16.5575 + 28.6784i 0.808886 + 1.40103i 0.913636 + 0.406532i \(0.133262\pi\)
−0.104751 + 0.994499i \(0.533404\pi\)
\(420\) −0.896105 + 3.74200i −0.0437255 + 0.182591i
\(421\) 7.34916 12.7291i 0.358176 0.620379i −0.629480 0.777017i \(-0.716732\pi\)
0.987656 + 0.156637i \(0.0500654\pi\)
\(422\) −13.5196 −0.658124
\(423\) 13.0073 + 6.60876i 0.632435 + 0.321329i
\(424\) −29.3401 −1.42488
\(425\) 1.66044 2.87597i 0.0805433 0.139505i
\(426\) −37.5333 + 11.1413i −1.81850 + 0.539797i
\(427\) 1.88924 + 3.27225i 0.0914266 + 0.158355i
\(428\) −4.04514 7.00639i −0.195529 0.338667i
\(429\) 5.51414 + 5.22672i 0.266225 + 0.252348i
\(430\) −13.0096 + 22.5333i −0.627379 + 1.08665i
\(431\) −32.7549 −1.57775 −0.788873 0.614556i \(-0.789335\pi\)
−0.788873 + 0.614556i \(0.789335\pi\)
\(432\) −10.5069 29.5091i −0.505512 1.41976i
\(433\) −11.8314 −0.568581 −0.284291 0.958738i \(-0.591758\pi\)
−0.284291 + 0.958738i \(0.591758\pi\)
\(434\) 5.64591 9.77900i 0.271012 0.469407i
\(435\) −1.74293 1.65208i −0.0835672 0.0792113i
\(436\) −11.9859 20.7601i −0.574019 0.994230i
\(437\) 2.72606 + 4.72168i 0.130405 + 0.225869i
\(438\) −25.2835 + 7.50509i −1.20809 + 0.358607i
\(439\) −4.15591 + 7.19824i −0.198351 + 0.343553i −0.947994 0.318289i \(-0.896892\pi\)
0.749643 + 0.661842i \(0.230225\pi\)
\(440\) −19.3774 −0.923783
\(441\) −16.9344 + 11.0249i −0.806399 + 0.524997i
\(442\) 11.0283 0.524561
\(443\) 14.5876 25.2664i 0.693076 1.20044i −0.277750 0.960654i \(-0.589589\pi\)
0.970825 0.239789i \(-0.0770781\pi\)
\(444\) 0.510000 2.12968i 0.0242035 0.101070i
\(445\) 1.50000 + 2.59808i 0.0711068 + 0.123161i
\(446\) −10.8920 18.8654i −0.515750 0.893305i
\(447\) 7.12397 29.7486i 0.336952 1.40706i
\(448\) −0.846426 + 1.46605i −0.0399899 + 0.0692645i
\(449\) 18.9717 0.895331 0.447666 0.894201i \(-0.352256\pi\)
0.447666 + 0.894201i \(0.352256\pi\)
\(450\) 6.32088 4.11514i 0.297969 0.193990i
\(451\) 37.6892 1.77472
\(452\) −16.8542 + 29.1924i −0.792756 + 1.37309i
\(453\) −2.09936 + 0.623167i −0.0986365 + 0.0292790i
\(454\) −4.17458 7.23058i −0.195923 0.339348i
\(455\) −0.339558 0.588131i −0.0159187 0.0275720i
\(456\) −9.68872 9.18370i −0.453716 0.430066i
\(457\) 11.6176 20.1223i 0.543450 0.941283i −0.455253 0.890362i \(-0.650451\pi\)
0.998703 0.0509206i \(-0.0162155\pi\)
\(458\) −63.6374 −2.97358
\(459\) 11.1842 13.1407i 0.522033 0.613354i
\(460\) 17.8350 0.831562
\(461\) −2.21285 + 3.83277i −0.103063 + 0.178510i −0.912945 0.408082i \(-0.866198\pi\)
0.809882 + 0.586592i \(0.199531\pi\)
\(462\) 5.39611 + 5.11484i 0.251050 + 0.237964i
\(463\) 9.75434 + 16.8950i 0.453322 + 0.785178i 0.998590 0.0530845i \(-0.0169053\pi\)
−0.545268 + 0.838262i \(0.683572\pi\)
\(464\) 4.17912 + 7.23844i 0.194011 + 0.336036i
\(465\) −14.5051 + 4.30564i −0.672656 + 0.199669i
\(466\) −34.7362 + 60.1648i −1.60912 + 2.78708i
\(467\) −24.5935 −1.13805 −0.569026 0.822320i \(-0.692679\pi\)
−0.569026 + 0.822320i \(0.692679\pi\)
\(468\) 15.2649 + 7.75581i 0.705619 + 0.358512i
\(469\) −4.85783 −0.224314
\(470\) 6.11350 10.5889i 0.281995 0.488429i
\(471\) −6.32088 + 26.3950i −0.291251 + 1.21622i
\(472\) 14.6700 + 25.4093i 0.675243 + 1.16956i
\(473\) 17.1842 + 29.7639i 0.790129 + 1.36854i
\(474\) −8.17044 + 34.1185i −0.375281 + 1.56711i
\(475\) 0.660442 1.14392i 0.0303032 0.0524866i
\(476\) 7.37743 0.338144
\(477\) −0.806748 15.0632i −0.0369384 0.689698i
\(478\) −10.5561 −0.482827
\(479\) −16.3774 + 28.3665i −0.748304 + 1.29610i 0.200331 + 0.979728i \(0.435798\pi\)
−0.948635 + 0.316372i \(0.897535\pi\)
\(480\) −5.78807 + 1.71812i −0.264188 + 0.0784209i
\(481\) 0.193252 + 0.334723i 0.00881155 + 0.0152621i
\(482\) −4.53101 7.84793i −0.206382 0.357464i
\(483\) −2.66771 2.52866i −0.121385 0.115058i
\(484\) −0.0610840 + 0.105801i −0.00277655 + 0.00480912i
\(485\) −12.2553 −0.556483
\(486\) 36.1651 15.1017i 1.64048 0.685025i
\(487\) −6.03735 −0.273578 −0.136789 0.990600i \(-0.543678\pi\)
−0.136789 + 0.990600i \(0.543678\pi\)
\(488\) −21.4412 + 37.1373i −0.970600 + 1.68113i
\(489\) 19.7453 + 18.7161i 0.892912 + 0.846369i
\(490\) 8.46719 + 14.6656i 0.382509 + 0.662524i
\(491\) −7.22153 12.5081i −0.325903 0.564480i 0.655792 0.754942i \(-0.272335\pi\)
−0.981695 + 0.190461i \(0.939002\pi\)
\(492\) 81.4254 24.1701i 3.67094 1.08967i
\(493\) −2.30221 + 3.98755i −0.103686 + 0.179590i
\(494\) 4.38650 0.197358
\(495\) −0.532810 9.94840i −0.0239480 0.447147i
\(496\) 52.6610 2.36455
\(497\) 2.31128 4.00326i 0.103675 0.179571i
\(498\) 1.56422 6.53192i 0.0700942 0.292702i
\(499\) −10.4859 18.1620i −0.469412 0.813045i 0.529977 0.848012i \(-0.322201\pi\)
−0.999388 + 0.0349673i \(0.988867\pi\)
\(500\) −2.16044 3.74200i −0.0966179 0.167347i
\(501\) 2.48679 10.3844i 0.111102 0.463943i
\(502\) 8.64591 14.9751i 0.385886 0.668374i
\(503\) −5.31728 −0.237086 −0.118543 0.992949i \(-0.537822\pi\)
−0.118543 + 0.992949i \(0.537822\pi\)
\(504\) 8.02374 + 4.07672i 0.357406 + 0.181591i
\(505\) 11.6700 0.519310
\(506\) 17.2311 29.8452i 0.766017 1.32678i
\(507\) 18.6887 5.54750i 0.829995 0.246373i
\(508\) −38.6537 66.9502i −1.71498 2.97043i
\(509\) −9.11350 15.7850i −0.403949 0.699659i 0.590250 0.807221i \(-0.299029\pi\)
−0.994198 + 0.107561i \(0.965696\pi\)
\(510\) −10.4955 9.94840i −0.464747 0.440522i
\(511\) 1.55695 2.69671i 0.0688753 0.119296i
\(512\) −49.3365 −2.18038
\(513\) 4.44852 5.22672i 0.196407 0.230765i
\(514\) −45.2545 −1.99609
\(515\) −0.146305 + 0.253408i −0.00644698 + 0.0111665i
\(516\) 56.2130 + 53.2829i 2.47464 + 2.34565i
\(517\) −8.07522 13.9867i −0.355148 0.615134i
\(518\) 0.189116 + 0.327558i 0.00830927 + 0.0143921i
\(519\) −14.2553 + 4.23149i −0.625737 + 0.185742i
\(520\) 3.85369 6.67479i 0.168996 0.292709i
\(521\) 40.1232 1.75783 0.878915 0.476978i \(-0.158268\pi\)
0.878915 + 0.476978i \(0.158268\pi\)
\(522\) −8.76394 + 5.70566i −0.383587 + 0.249730i
\(523\) 18.9873 0.830257 0.415129 0.909763i \(-0.363737\pi\)
0.415129 + 0.909763i \(0.363737\pi\)
\(524\) 12.9627 22.4520i 0.566276 0.980819i
\(525\) −0.207389 + 0.866025i −0.00905121 + 0.0377964i
\(526\) −7.83916 13.5778i −0.341804 0.592021i
\(527\) 14.5051 + 25.1235i 0.631851 + 1.09440i
\(528\) −8.07522 + 33.7209i −0.351429 + 1.46751i
\(529\) 2.98133 5.16381i 0.129623 0.224513i
\(530\) −12.6418 −0.549123
\(531\) −12.6418 + 8.23028i −0.548606 + 0.357164i
\(532\) 2.93438 0.127221
\(533\) −7.49546 + 12.9825i −0.324665 + 0.562336i
\(534\) 12.5237 3.71751i 0.541955 0.160872i
\(535\) −0.936184 1.62152i −0.0404748 0.0701043i
\(536\) −27.5661 47.7460i −1.19068 2.06231i
\(537\) −1.33956 1.26973i −0.0578062 0.0547931i
\(538\) −12.4745 + 21.6064i −0.537812 + 0.931518i
\(539\) 22.3684 0.963473
\(540\) −7.53101 21.1512i −0.324083 0.910205i
\(541\) 16.5279 0.710589 0.355294 0.934754i \(-0.384381\pi\)
0.355294 + 0.934754i \(0.384381\pi\)
\(542\) −8.30221 + 14.3799i −0.356611 + 0.617668i
\(543\) −15.9271 15.0969i −0.683498 0.647871i
\(544\) 5.78807 + 10.0252i 0.248162 + 0.429829i
\(545\) −2.77394 4.80460i −0.118822 0.205806i
\(546\) −2.83502 + 0.841540i −0.121328 + 0.0360146i
\(547\) −8.83683 + 15.3058i −0.377835 + 0.654430i −0.990747 0.135721i \(-0.956665\pi\)
0.612912 + 0.790151i \(0.289998\pi\)
\(548\) 24.4996 1.04657
\(549\) −19.6559 9.98682i −0.838894 0.426227i
\(550\) −8.34916 −0.356009
\(551\) −0.915706 + 1.58605i −0.0390104 + 0.0675680i
\(552\) 9.71519 40.5691i 0.413506 1.72674i
\(553\) −2.07108 3.58722i −0.0880715 0.152544i
\(554\) −28.4864 49.3399i −1.21027 2.09625i
\(555\) 0.118031 0.492881i 0.00501016 0.0209216i
\(556\) −17.2835 + 29.9360i −0.732985 + 1.26957i
\(557\) 17.3401 0.734723 0.367362 0.930078i \(-0.380261\pi\)
0.367362 + 0.930078i \(0.380261\pi\)
\(558\) 3.52374 + 65.7937i 0.149172 + 2.78527i
\(559\) −13.6700 −0.578181
\(560\) 1.54968 2.68412i 0.0654859 0.113425i
\(561\) −18.3118 + 5.43563i −0.773125 + 0.229492i
\(562\) 19.5447 + 33.8525i 0.824445 + 1.42798i
\(563\) −6.49727 11.2536i −0.273827 0.474283i 0.696011 0.718031i \(-0.254956\pi\)
−0.969839 + 0.243748i \(0.921623\pi\)
\(564\) −26.4157 25.0388i −1.11230 1.05432i
\(565\) −3.90064 + 6.75611i −0.164101 + 0.284232i
\(566\) 1.62257 0.0682016
\(567\) −1.87237 + 4.23149i −0.0786321 + 0.177706i
\(568\) 52.4623 2.20127
\(569\) 8.34009 14.4455i 0.349635 0.605585i −0.636550 0.771236i \(-0.719639\pi\)
0.986184 + 0.165651i \(0.0529724\pi\)
\(570\) −4.17458 3.95698i −0.174854 0.165740i
\(571\) −10.0000 17.3205i −0.418487 0.724841i 0.577301 0.816532i \(-0.304106\pi\)
−0.995788 + 0.0916910i \(0.970773\pi\)
\(572\) −9.47679 16.4143i −0.396245 0.686316i
\(573\) 28.1186 8.34663i 1.17467 0.348686i
\(574\) −7.33502 + 12.7046i −0.306158 + 0.530281i
\(575\) 4.12763 0.172134
\(576\) −0.528274 9.86370i −0.0220114 0.410987i
\(577\) −23.5953 −0.982287 −0.491144 0.871079i \(-0.663421\pi\)
−0.491144 + 0.871079i \(0.663421\pi\)
\(578\) 7.50687 13.0023i 0.312245 0.540823i
\(579\) 10.7771 45.0037i 0.447883 1.87029i
\(580\) 2.99546 + 5.18830i 0.124380 + 0.215432i
\(581\) 0.396505 + 0.686767i 0.0164498 + 0.0284919i
\(582\) −12.4285 + 51.8995i −0.515179 + 2.15130i
\(583\) −8.34916 + 14.4612i −0.345787 + 0.598920i
\(584\) 35.3401 1.46238
\(585\) 3.53281 + 1.79496i 0.146064 + 0.0742124i
\(586\) −3.46305 −0.143057
\(587\) −14.0638 + 24.3592i −0.580476 + 1.00541i 0.414947 + 0.909846i \(0.363800\pi\)
−0.995423 + 0.0955681i \(0.969533\pi\)
\(588\) 48.3255 14.3448i 1.99291 0.591570i
\(589\) 5.76940 + 9.99290i 0.237724 + 0.411750i
\(590\) 6.32088 + 10.9481i 0.260227 + 0.450726i
\(591\) −17.9198 16.9858i −0.737124 0.698702i
\(592\) −0.881969 + 1.52761i −0.0362487 + 0.0627846i
\(593\) −9.17872 −0.376925 −0.188462 0.982080i \(-0.560350\pi\)
−0.188462 + 0.982080i \(0.560350\pi\)
\(594\) −42.6706 7.83265i −1.75079 0.321378i
\(595\) 1.70739 0.0699961
\(596\) −38.1555 + 66.0873i −1.56291 + 2.70704i
\(597\) −31.0005 29.3846i −1.26877 1.20263i
\(598\) 6.85369 + 11.8709i 0.280268 + 0.485439i
\(599\) 15.7357 + 27.2550i 0.642942 + 1.11361i 0.984773 + 0.173846i \(0.0556196\pi\)
−0.341831 + 0.939761i \(0.611047\pi\)
\(600\) −9.68872 + 2.87597i −0.395540 + 0.117411i
\(601\) 14.6327 25.3446i 0.596880 1.03383i −0.396398 0.918079i \(-0.629740\pi\)
0.993279 0.115748i \(-0.0369265\pi\)
\(602\) −13.3774 −0.545223
\(603\) 23.7549 15.4653i 0.967373 0.629797i
\(604\) 5.46305 0.222288
\(605\) −0.0141369 + 0.0244859i −0.000574748 + 0.000995493i
\(606\) 11.8350 49.4212i 0.480765 2.00760i
\(607\) 22.1017 + 38.2813i 0.897080 + 1.55379i 0.831209 + 0.555960i \(0.187649\pi\)
0.0658708 + 0.997828i \(0.479017\pi\)
\(608\) 2.30221 + 3.98755i 0.0933670 + 0.161716i
\(609\) 0.287546 1.20075i 0.0116520 0.0486568i
\(610\) −9.23840 + 16.0014i −0.374052 + 0.647877i
\(611\) 6.42385 0.259881
\(612\) −36.0757 + 23.4867i −1.45828 + 0.949394i
\(613\) −35.1715 −1.42056 −0.710282 0.703918i \(-0.751432\pi\)
−0.710282 + 0.703918i \(0.751432\pi\)
\(614\) 10.0383 17.3868i 0.405112 0.701674i
\(615\) 18.8446 5.59378i 0.759889 0.225563i
\(616\) −4.98133 8.62791i −0.200703 0.347628i
\(617\) 3.71285 + 6.43085i 0.149474 + 0.258896i 0.931033 0.364935i \(-0.118909\pi\)
−0.781559 + 0.623831i \(0.785575\pi\)
\(618\) 0.924779 + 0.876576i 0.0372001 + 0.0352610i
\(619\) −4.27394 + 7.40268i −0.171784 + 0.297539i −0.939044 0.343798i \(-0.888286\pi\)
0.767260 + 0.641337i \(0.221620\pi\)
\(620\) 37.7458 1.51591
\(621\) 21.0953 + 3.87228i 0.846527 + 0.155389i
\(622\) 24.2179 0.971050
\(623\) −0.771205 + 1.33577i −0.0308977 + 0.0535164i
\(624\) −10.0096 9.48786i −0.400705 0.379818i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 30.8446 + 53.4245i 1.23280 + 2.13527i
\(627\) −7.28354 + 2.16202i −0.290876 + 0.0863429i
\(628\) 33.8542 58.6372i 1.35093 2.33988i
\(629\) −0.971726 −0.0387453
\(630\) 3.45719 + 1.75654i 0.137738 + 0.0699821i
\(631\) −2.36836 −0.0942829 −0.0471415 0.998888i \(-0.515011\pi\)
−0.0471415 + 0.998888i \(0.515011\pi\)
\(632\) 23.5051 40.7120i 0.934981 1.61944i
\(633\) −2.16912 + 9.05788i −0.0862146 + 0.360019i
\(634\) 25.5803 + 44.3064i 1.01592 + 1.75963i
\(635\) −8.94578 15.4946i −0.355003 0.614883i
\(636\) −8.76394 + 36.5968i −0.347513 + 1.45116i
\(637\) −4.44852 + 7.70506i −0.176257 + 0.305285i
\(638\) 11.5761 0.458304
\(639\) 1.44252 + 26.9342i 0.0570654 + 1.06550i
\(640\) −15.2498 −0.602801
\(641\) 0.0665480 0.115265i 0.00262849 0.00455268i −0.864708 0.502275i \(-0.832497\pi\)
0.867337 + 0.497722i \(0.165830\pi\)
\(642\) −7.81635 + 2.32018i −0.308487 + 0.0915703i
\(643\) 11.3232 + 19.6124i 0.446544 + 0.773437i 0.998158 0.0606623i \(-0.0193213\pi\)
−0.551614 + 0.834099i \(0.685988\pi\)
\(644\) 4.58482 + 7.94114i 0.180667 + 0.312925i
\(645\) 13.0096 + 12.3315i 0.512253 + 0.485552i
\(646\) −5.51414 + 9.55077i −0.216951 + 0.375770i
\(647\) 46.3912 1.82383 0.911913 0.410385i \(-0.134606\pi\)
0.911913 + 0.410385i \(0.134606\pi\)
\(648\) −52.2148 + 5.60907i −2.05119 + 0.220345i
\(649\) 16.6983 0.655466
\(650\) 1.66044 2.87597i 0.0651279 0.112805i
\(651\) −5.64591 5.35162i −0.221280 0.209746i
\(652\) −33.9349 58.7770i −1.32899 2.30188i
\(653\) −18.2029 31.5283i −0.712333 1.23380i −0.963979 0.265977i \(-0.914305\pi\)
0.251647 0.967819i \(-0.419028\pi\)
\(654\) −23.1600 + 6.87476i −0.905629 + 0.268824i
\(655\) 3.00000 5.19615i 0.117220 0.203030i
\(656\) −68.4158 −2.67119
\(657\) 0.971726 + 18.1436i 0.0379106 + 0.707851i
\(658\) 6.28635 0.245067
\(659\) −9.57068 + 16.5769i −0.372821 + 0.645745i −0.989998 0.141079i \(-0.954943\pi\)
0.617177 + 0.786824i \(0.288276\pi\)
\(660\) −5.78807 + 24.1701i −0.225300 + 0.940819i
\(661\) −19.9536 34.5606i −0.776104 1.34425i −0.934172 0.356824i \(-0.883860\pi\)
0.158067 0.987428i \(-0.449474\pi\)
\(662\) −20.6700 35.8016i −0.803364 1.39147i
\(663\) 1.76940 7.38874i 0.0687178 0.286955i
\(664\) −4.50000 + 7.79423i −0.174634 + 0.302475i
\(665\) 0.679116 0.0263350
\(666\) −1.96759 0.999697i −0.0762425 0.0387375i
\(667\) −5.72298 −0.221595
\(668\) −13.3191 + 23.0693i −0.515331 + 0.892579i
\(669\) −14.3870 + 4.27061i −0.556235 + 0.165111i
\(670\) −11.8774 20.5723i −0.458865 0.794778i
\(671\) 12.2029 + 21.1360i 0.471086 + 0.815945i
\(672\) −2.25293 2.13550i −0.0869087 0.0823787i
\(673\) −11.8254 + 20.4822i −0.455836 + 0.789532i −0.998736 0.0502658i \(-0.983993\pi\)
0.542899 + 0.839798i \(0.317326\pi\)
\(674\) 12.3118 0.474233
\(675\) −1.74293 4.89512i −0.0670855 0.188413i
\(676\) −48.6327 −1.87049
\(677\) 7.40157 12.8199i 0.284465 0.492709i −0.688014 0.725697i \(-0.741517\pi\)
0.972479 + 0.232989i \(0.0748506\pi\)
\(678\) 24.6555 + 23.3704i 0.946889 + 0.897533i
\(679\) −3.15044 5.45673i −0.120903 0.209410i
\(680\) 9.68872 + 16.7813i 0.371545 + 0.643535i
\(681\) −5.51414 + 1.63680i −0.211302 + 0.0627223i
\(682\) 36.4677 63.1639i 1.39642 2.41867i
\(683\) −4.95252 −0.189503 −0.0947515 0.995501i \(-0.530206\pi\)
−0.0947515 + 0.995501i \(0.530206\pi\)
\(684\) −14.3492 + 9.34186i −0.548654 + 0.357195i
\(685\) 5.67004 0.216641
\(686\) −8.87743 + 15.3762i −0.338942 + 0.587065i
\(687\) −10.2101 + 42.6359i −0.389540 + 1.62666i
\(688\) −31.1938 54.0292i −1.18925 2.05984i
\(689\) −3.32088 5.75194i −0.126516 0.219131i
\(690\) 4.18598 17.4800i 0.159358 0.665453i
\(691\) 9.60442 16.6353i 0.365369 0.632838i −0.623466 0.781851i \(-0.714276\pi\)
0.988835 + 0.149012i \(0.0476093\pi\)
\(692\) 37.0957 1.41017
\(693\) 4.29261 2.79466i 0.163063 0.106160i
\(694\) 56.0011 2.12577
\(695\) −4.00000 + 6.92820i −0.151729 + 0.262802i
\(696\) 13.4335 3.98755i 0.509194 0.151148i
\(697\) −18.8446 32.6398i −0.713791 1.23632i
\(698\) 3.70012 + 6.40880i 0.140052 + 0.242577i
\(699\) 34.7362 + 32.9256i 1.31384 + 1.24536i
\(700\) 1.11076 1.92390i 0.0419829 0.0727165i
\(701\) −29.3492 −1.10850 −0.554251 0.832349i \(-0.686995\pi\)
−0.554251 + 0.832349i \(0.686995\pi\)
\(702\) 11.1842 13.1407i 0.422120 0.495963i
\(703\) −0.386505 −0.0145773
\(704\) −5.46719 + 9.46945i −0.206052 + 0.356893i
\(705\) −6.11350 5.79483i −0.230248 0.218246i
\(706\) −23.6700 40.9977i −0.890834 1.54297i
\(707\) 3.00000 + 5.19615i 0.112827 + 0.195421i
\(708\) 36.0757 10.7086i 1.35581 0.402455i
\(709\) −19.3633 + 33.5382i −0.727204 + 1.25955i 0.230857 + 0.972988i \(0.425847\pi\)
−0.958060 + 0.286566i \(0.907486\pi\)
\(710\) 22.6044 0.848329
\(711\) 21.5479 + 10.9481i 0.808108 + 0.410586i
\(712\) −17.5051 −0.656030
\(713\) −18.0288 + 31.2268i −0.675184 + 1.16945i
\(714\) 1.73153 7.23058i 0.0648008 0.270598i
\(715\) −2.19325 3.79882i −0.0820230 0.142068i
\(716\) 2.30221 + 3.98755i 0.0860377 + 0.149022i
\(717\) −1.69365 + 7.07243i −0.0632506 + 0.264125i
\(718\) 40.0716 69.4061i 1.49546 2.59021i
\(719\) −15.0848 −0.562569 −0.281284 0.959624i \(-0.590760\pi\)
−0.281284 + 0.959624i \(0.590760\pi\)
\(720\) 0.967190 + 18.0589i 0.0360450 + 0.673017i
\(721\) −0.150442 −0.00560275
\(722\) 21.6910 37.5700i 0.807257 1.39821i
\(723\) −5.98494 + 1.77655i −0.222582 + 0.0660706i
\(724\) 27.3729 + 47.4112i 1.01731 + 1.76203i
\(725\) 0.693252 + 1.20075i 0.0257467 + 0.0445947i
\(726\) 0.0893579 + 0.0847002i 0.00331638 + 0.00314352i
\(727\) −6.17277 + 10.6916i −0.228936 + 0.396528i −0.957493 0.288457i \(-0.906858\pi\)
0.728557 + 0.684985i \(0.240191\pi\)
\(728\) 3.96265 0.146866
\(729\) −4.31542 26.6529i −0.159830 0.987144i
\(730\) 15.2270 0.563576
\(731\) 17.1842 29.7639i 0.635580 1.10086i
\(732\) 39.9180 + 37.8373i 1.47541 + 1.39851i
\(733\) 11.0000 + 19.0526i 0.406294 + 0.703722i 0.994471 0.105010i \(-0.0334875\pi\)
−0.588177 + 0.808732i \(0.700154\pi\)
\(734\) 23.0661 + 39.9517i 0.851387 + 1.47465i
\(735\) 11.1842 3.31988i 0.412535 0.122456i
\(736\) −7.19418 + 12.4607i −0.265181 + 0.459307i
\(737\) −31.3774 −1.15580
\(738\) −4.57795 85.4775i −0.168517 3.14647i
\(739\) 29.7266 1.09351 0.546755 0.837293i \(-0.315863\pi\)
0.546755 + 0.837293i \(0.315863\pi\)
\(740\) −0.632168 + 1.09495i −0.0232390 + 0.0402511i
\(741\) 0.703781 2.93888i 0.0258540 0.107962i
\(742\) −3.24980 5.62882i −0.119304 0.206640i
\(743\) −24.1824 41.8851i −0.887165 1.53662i −0.843212 0.537582i \(-0.819338\pi\)
−0.0439537 0.999034i \(-0.513995\pi\)
\(744\) 20.5611 85.8599i 0.753806 3.14778i
\(745\) −8.83049 + 15.2948i −0.323524 + 0.560360i
\(746\) −5.52787 −0.202390
\(747\) −4.12530 2.09599i −0.150937 0.0766883i
\(748\) 47.6519 1.74233
\(749\) 0.481327 0.833682i 0.0175873 0.0304621i
\(750\) −4.17458 + 1.23917i −0.152434 + 0.0452481i
\(751\) 15.9102 + 27.5573i 0.580573 + 1.00558i 0.995411 + 0.0956869i \(0.0305047\pi\)
−0.414838 + 0.909895i \(0.636162\pi\)
\(752\) 14.6586 + 25.3895i 0.534546 + 0.925860i
\(753\) −8.64591 8.19524i −0.315074 0.298651i
\(754\) −2.30221 + 3.98755i −0.0838416 + 0.145218i
\(755\) 1.26434 0.0460139
\(756\) 7.48173 8.79054i 0.272108 0.319709i
\(757\) 4.94531 0.179740 0.0898701 0.995953i \(-0.471355\pi\)
0.0898701 + 0.995953i \(0.471355\pi\)
\(758\) −19.4485 + 33.6858i −0.706402 + 1.22352i
\(759\) −17.2311 16.3330i −0.625450 0.592849i
\(760\) 3.85369 + 6.67479i 0.139788 + 0.242120i
\(761\) −17.7125 30.6789i −0.642076 1.11211i −0.984969 0.172734i \(-0.944740\pi\)
0.342893 0.939375i \(-0.388593\pi\)
\(762\) −74.6898 + 22.1707i −2.70572 + 0.803160i
\(763\) 1.42618 2.47022i 0.0516313 0.0894281i
\(764\) −73.1715 −2.64725
\(765\) −8.34916 + 5.43563i −0.301864 + 0.196525i
\(766\) 19.3774 0.700135
\(767\) −3.32088 + 5.75194i −0.119910 + 0.207691i
\(768\) −12.8091 + 53.4887i −0.462208 + 1.93011i
\(769\) −24.7125 42.8032i −0.891154 1.54352i −0.838494 0.544911i \(-0.816563\pi\)
−0.0526602 0.998612i \(-0.516770\pi\)
\(770\) −2.14631 3.71751i −0.0773475 0.133970i
\(771\) −7.26073 + 30.3197i −0.261489 + 1.09194i
\(772\) −57.7217 + 99.9768i −2.07745 + 3.59825i