Properties

Label 546.2.bb.a.269.35
Level $546$
Weight $2$
Character 546.269
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bb (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 269.35
Character \(\chi\) \(=\) 546.269
Dual form 546.2.bb.a.341.16

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(1.38069 + 1.04580i) q^{3} -1.00000 q^{4} +(1.07511 + 1.86215i) q^{5} +(-1.04580 + 1.38069i) q^{6} +(-2.48199 - 0.916357i) q^{7} -1.00000i q^{8} +(0.812620 + 2.88784i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(1.38069 + 1.04580i) q^{3} -1.00000 q^{4} +(1.07511 + 1.86215i) q^{5} +(-1.04580 + 1.38069i) q^{6} +(-2.48199 - 0.916357i) q^{7} -1.00000i q^{8} +(0.812620 + 2.88784i) q^{9} +(-1.86215 + 1.07511i) q^{10} +(-0.720909 + 0.416217i) q^{11} +(-1.38069 - 1.04580i) q^{12} +(-1.46072 + 3.29641i) q^{13} +(0.916357 - 2.48199i) q^{14} +(-0.463030 + 3.69541i) q^{15} +1.00000 q^{16} -2.72343 q^{17} +(-2.88784 + 0.812620i) q^{18} +(2.22409 + 1.28408i) q^{19} +(-1.07511 - 1.86215i) q^{20} +(-2.46855 - 3.86087i) q^{21} +(-0.416217 - 0.720909i) q^{22} +2.48498i q^{23} +(1.04580 - 1.38069i) q^{24} +(0.188263 - 0.326081i) q^{25} +(-3.29641 - 1.46072i) q^{26} +(-1.89812 + 4.83706i) q^{27} +(2.48199 + 0.916357i) q^{28} +(7.62813 + 4.40410i) q^{29} +(-3.69541 - 0.463030i) q^{30} +(-2.06419 - 1.19176i) q^{31} +1.00000i q^{32} +(-1.43063 - 0.179257i) q^{33} -2.72343i q^{34} +(-0.962029 - 5.60703i) q^{35} +(-0.812620 - 2.88784i) q^{36} -0.179924 q^{37} +(-1.28408 + 2.22409i) q^{38} +(-5.46417 + 3.02371i) q^{39} +(1.86215 - 1.07511i) q^{40} +(5.93979 - 10.2880i) q^{41} +(3.86087 - 2.46855i) q^{42} +(-3.89154 - 6.74035i) q^{43} +(0.720909 - 0.416217i) q^{44} +(-4.50394 + 4.61798i) q^{45} -2.48498 q^{46} +(0.425408 + 0.736829i) q^{47} +(1.38069 + 1.04580i) q^{48} +(5.32058 + 4.54878i) q^{49} +(0.326081 + 0.188263i) q^{50} +(-3.76022 - 2.84815i) q^{51} +(1.46072 - 3.29641i) q^{52} +(10.3882 + 5.99761i) q^{53} +(-4.83706 - 1.89812i) q^{54} +(-1.55012 - 0.894961i) q^{55} +(-0.916357 + 2.48199i) q^{56} +(1.72790 + 4.09887i) q^{57} +(-4.40410 + 7.62813i) q^{58} -2.52356 q^{59} +(0.463030 - 3.69541i) q^{60} +(3.16538 + 1.82753i) q^{61} +(1.19176 - 2.06419i) q^{62} +(0.629378 - 7.91226i) q^{63} -1.00000 q^{64} +(-7.70885 + 0.823929i) q^{65} +(0.179257 - 1.43063i) q^{66} +(3.30716 + 5.72816i) q^{67} +2.72343 q^{68} +(-2.59879 + 3.43100i) q^{69} +(5.60703 - 0.962029i) q^{70} +(7.48494 - 4.32143i) q^{71} +(2.88784 - 0.812620i) q^{72} +(-10.9421 - 6.31743i) q^{73} -0.179924i q^{74} +(0.600948 - 0.253333i) q^{75} +(-2.22409 - 1.28408i) q^{76} +(2.17070 - 0.372438i) q^{77} +(-3.02371 - 5.46417i) q^{78} +(-3.10814 - 5.38345i) q^{79} +(1.07511 + 1.86215i) q^{80} +(-7.67930 + 4.69344i) q^{81} +(10.2880 + 5.93979i) q^{82} -0.930821 q^{83} +(2.46855 + 3.86087i) q^{84} +(-2.92799 - 5.07144i) q^{85} +(6.74035 - 3.89154i) q^{86} +(5.92630 + 14.0582i) q^{87} +(0.416217 + 0.720909i) q^{88} -1.14590 q^{89} +(-4.61798 - 4.50394i) q^{90} +(6.64618 - 6.84312i) q^{91} -2.48498i q^{92} +(-1.60367 - 3.80418i) q^{93} +(-0.736829 + 0.425408i) q^{94} +5.52213i q^{95} +(-1.04580 + 1.38069i) q^{96} +(-7.08918 + 4.09294i) q^{97} +(-4.54878 + 5.32058i) q^{98} +(-1.78780 - 1.74365i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q - 76q^{4} + 10q^{7} + 4q^{9} + O(q^{10}) \) \( 76q - 76q^{4} + 10q^{7} + 4q^{9} - 2q^{13} + 12q^{15} + 76q^{16} + 18q^{19} - 8q^{21} - 42q^{25} - 10q^{28} - 10q^{30} + 12q^{31} + 72q^{33} - 4q^{36} + 12q^{37} - 42q^{39} + 2q^{42} - 2q^{43} + 8q^{46} - 10q^{49} + 10q^{51} + 2q^{52} - 24q^{55} + 8q^{57} - 8q^{58} - 12q^{60} + 78q^{61} + 2q^{63} - 76q^{64} - 24q^{66} - 48q^{67} + 30q^{69} - 54q^{73} - 18q^{76} - 12q^{78} - 60q^{79} - 4q^{81} - 24q^{82} + 8q^{84} + 8q^{85} - 8q^{91} - 32q^{93} - 24q^{94} + 66q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) 1.38069 + 1.04580i 0.797143 + 0.603791i
\(4\) −1.00000 −0.500000
\(5\) 1.07511 + 1.86215i 0.480805 + 0.832779i 0.999757 0.0220241i \(-0.00701107\pi\)
−0.518952 + 0.854803i \(0.673678\pi\)
\(6\) −1.04580 + 1.38069i −0.426945 + 0.563665i
\(7\) −2.48199 0.916357i −0.938105 0.346350i
\(8\) 1.00000i 0.353553i
\(9\) 0.812620 + 2.88784i 0.270873 + 0.962615i
\(10\) −1.86215 + 1.07511i −0.588864 + 0.339981i
\(11\) −0.720909 + 0.416217i −0.217362 + 0.125494i −0.604728 0.796432i \(-0.706718\pi\)
0.387366 + 0.921926i \(0.373385\pi\)
\(12\) −1.38069 1.04580i −0.398571 0.301895i
\(13\) −1.46072 + 3.29641i −0.405131 + 0.914259i
\(14\) 0.916357 2.48199i 0.244907 0.663341i
\(15\) −0.463030 + 3.69541i −0.119554 + 0.954150i
\(16\) 1.00000 0.250000
\(17\) −2.72343 −0.660529 −0.330264 0.943889i \(-0.607138\pi\)
−0.330264 + 0.943889i \(0.607138\pi\)
\(18\) −2.88784 + 0.812620i −0.680672 + 0.191536i
\(19\) 2.22409 + 1.28408i 0.510242 + 0.294589i 0.732933 0.680301i \(-0.238151\pi\)
−0.222691 + 0.974889i \(0.571484\pi\)
\(20\) −1.07511 1.86215i −0.240403 0.416390i
\(21\) −2.46855 3.86087i −0.538681 0.842510i
\(22\) −0.416217 0.720909i −0.0887378 0.153698i
\(23\) 2.48498i 0.518155i 0.965857 + 0.259078i \(0.0834185\pi\)
−0.965857 + 0.259078i \(0.916581\pi\)
\(24\) 1.04580 1.38069i 0.213472 0.281833i
\(25\) 0.188263 0.326081i 0.0376526 0.0652162i
\(26\) −3.29641 1.46072i −0.646479 0.286471i
\(27\) −1.89812 + 4.83706i −0.365293 + 0.930893i
\(28\) 2.48199 + 0.916357i 0.469053 + 0.173175i
\(29\) 7.62813 + 4.40410i 1.41651 + 0.817821i 0.995990 0.0894637i \(-0.0285153\pi\)
0.420517 + 0.907285i \(0.361849\pi\)
\(30\) −3.69541 0.463030i −0.674686 0.0845373i
\(31\) −2.06419 1.19176i −0.370740 0.214047i 0.303042 0.952977i \(-0.401998\pi\)
−0.673782 + 0.738931i \(0.735331\pi\)
\(32\) 1.00000i 0.176777i
\(33\) −1.43063 0.179257i −0.249041 0.0312046i
\(34\) 2.72343i 0.467064i
\(35\) −0.962029 5.60703i −0.162613 0.947762i
\(36\) −0.812620 2.88784i −0.135437 0.481307i
\(37\) −0.179924 −0.0295793 −0.0147896 0.999891i \(-0.504708\pi\)
−0.0147896 + 0.999891i \(0.504708\pi\)
\(38\) −1.28408 + 2.22409i −0.208306 + 0.360796i
\(39\) −5.46417 + 3.02371i −0.874968 + 0.484180i
\(40\) 1.86215 1.07511i 0.294432 0.169990i
\(41\) 5.93979 10.2880i 0.927640 1.60672i 0.140381 0.990098i \(-0.455167\pi\)
0.787259 0.616622i \(-0.211499\pi\)
\(42\) 3.86087 2.46855i 0.595744 0.380905i
\(43\) −3.89154 6.74035i −0.593454 1.02789i −0.993763 0.111513i \(-0.964430\pi\)
0.400309 0.916380i \(-0.368903\pi\)
\(44\) 0.720909 0.416217i 0.108681 0.0627471i
\(45\) −4.50394 + 4.61798i −0.671408 + 0.688408i
\(46\) −2.48498 −0.366391
\(47\) 0.425408 + 0.736829i 0.0620522 + 0.107478i 0.895383 0.445298i \(-0.146902\pi\)
−0.833330 + 0.552775i \(0.813569\pi\)
\(48\) 1.38069 + 1.04580i 0.199286 + 0.150948i
\(49\) 5.32058 + 4.54878i 0.760083 + 0.649826i
\(50\) 0.326081 + 0.188263i 0.0461148 + 0.0266244i
\(51\) −3.76022 2.84815i −0.526536 0.398821i
\(52\) 1.46072 3.29641i 0.202565 0.457129i
\(53\) 10.3882 + 5.99761i 1.42692 + 0.823835i 0.996877 0.0789721i \(-0.0251638\pi\)
0.430047 + 0.902807i \(0.358497\pi\)
\(54\) −4.83706 1.89812i −0.658240 0.258301i
\(55\) −1.55012 0.894961i −0.209018 0.120677i
\(56\) −0.916357 + 2.48199i −0.122453 + 0.331670i
\(57\) 1.72790 + 4.09887i 0.228866 + 0.542909i
\(58\) −4.40410 + 7.62813i −0.578287 + 1.00162i
\(59\) −2.52356 −0.328539 −0.164270 0.986415i \(-0.552527\pi\)
−0.164270 + 0.986415i \(0.552527\pi\)
\(60\) 0.463030 3.69541i 0.0597769 0.477075i
\(61\) 3.16538 + 1.82753i 0.405285 + 0.233991i 0.688762 0.724988i \(-0.258155\pi\)
−0.283477 + 0.958979i \(0.591488\pi\)
\(62\) 1.19176 2.06419i 0.151354 0.262153i
\(63\) 0.629378 7.91226i 0.0792941 0.996851i
\(64\) −1.00000 −0.125000
\(65\) −7.70885 + 0.823929i −0.956165 + 0.102196i
\(66\) 0.179257 1.43063i 0.0220650 0.176099i
\(67\) 3.30716 + 5.72816i 0.404033 + 0.699806i 0.994208 0.107469i \(-0.0342746\pi\)
−0.590175 + 0.807275i \(0.700941\pi\)
\(68\) 2.72343 0.330264
\(69\) −2.59879 + 3.43100i −0.312857 + 0.413044i
\(70\) 5.60703 0.962029i 0.670169 0.114985i
\(71\) 7.48494 4.32143i 0.888299 0.512859i 0.0149130 0.999889i \(-0.495253\pi\)
0.873386 + 0.487029i \(0.161920\pi\)
\(72\) 2.88784 0.812620i 0.340336 0.0957682i
\(73\) −10.9421 6.31743i −1.28068 0.739399i −0.303704 0.952766i \(-0.598224\pi\)
−0.976972 + 0.213367i \(0.931557\pi\)
\(74\) 0.179924i 0.0209157i
\(75\) 0.600948 0.253333i 0.0693915 0.0292524i
\(76\) −2.22409 1.28408i −0.255121 0.147294i
\(77\) 2.17070 0.372438i 0.247374 0.0424433i
\(78\) −3.02371 5.46417i −0.342367 0.618696i
\(79\) −3.10814 5.38345i −0.349693 0.605686i 0.636502 0.771275i \(-0.280381\pi\)
−0.986195 + 0.165589i \(0.947047\pi\)
\(80\) 1.07511 + 1.86215i 0.120201 + 0.208195i
\(81\) −7.67930 + 4.69344i −0.853255 + 0.521494i
\(82\) 10.2880 + 5.93979i 1.13612 + 0.655941i
\(83\) −0.930821 −0.102171 −0.0510854 0.998694i \(-0.516268\pi\)
−0.0510854 + 0.998694i \(0.516268\pi\)
\(84\) 2.46855 + 3.86087i 0.269340 + 0.421255i
\(85\) −2.92799 5.07144i −0.317586 0.550074i
\(86\) 6.74035 3.89154i 0.726830 0.419636i
\(87\) 5.92630 + 14.0582i 0.635366 + 1.50719i
\(88\) 0.416217 + 0.720909i 0.0443689 + 0.0768492i
\(89\) −1.14590 −0.121465 −0.0607324 0.998154i \(-0.519344\pi\)
−0.0607324 + 0.998154i \(0.519344\pi\)
\(90\) −4.61798 4.50394i −0.486778 0.474757i
\(91\) 6.64618 6.84312i 0.696709 0.717354i
\(92\) 2.48498i 0.259078i
\(93\) −1.60367 3.80418i −0.166293 0.394475i
\(94\) −0.736829 + 0.425408i −0.0759981 + 0.0438775i
\(95\) 5.52213i 0.566559i
\(96\) −1.04580 + 1.38069i −0.106736 + 0.140916i
\(97\) −7.08918 + 4.09294i −0.719797 + 0.415575i −0.814678 0.579914i \(-0.803086\pi\)
0.0948811 + 0.995489i \(0.469753\pi\)
\(98\) −4.54878 + 5.32058i −0.459496 + 0.537460i
\(99\) −1.78780 1.74365i −0.179680 0.175243i
\(100\) −0.188263 + 0.326081i −0.0188263 + 0.0326081i
\(101\) 6.68381 + 11.5767i 0.665064 + 1.15192i 0.979268 + 0.202569i \(0.0649291\pi\)
−0.314204 + 0.949356i \(0.601738\pi\)
\(102\) 2.84815 3.76022i 0.282009 0.372317i
\(103\) 12.8325 7.40885i 1.26442 0.730015i 0.290497 0.956876i \(-0.406180\pi\)
0.973927 + 0.226861i \(0.0728462\pi\)
\(104\) 3.29641 + 1.46072i 0.323239 + 0.143235i
\(105\) 4.53555 8.74767i 0.442624 0.853685i
\(106\) −5.99761 + 10.3882i −0.582539 + 1.00899i
\(107\) 1.40104i 0.135444i 0.997704 + 0.0677219i \(0.0215731\pi\)
−0.997704 + 0.0677219i \(0.978427\pi\)
\(108\) 1.89812 4.83706i 0.182647 0.465446i
\(109\) 4.04758 7.01062i 0.387688 0.671496i −0.604450 0.796643i \(-0.706607\pi\)
0.992138 + 0.125147i \(0.0399404\pi\)
\(110\) 0.894961 1.55012i 0.0853312 0.147798i
\(111\) −0.248419 0.188164i −0.0235789 0.0178597i
\(112\) −2.48199 0.916357i −0.234526 0.0865876i
\(113\) 3.15285 1.82030i 0.296595 0.171239i −0.344317 0.938853i \(-0.611889\pi\)
0.640912 + 0.767614i \(0.278556\pi\)
\(114\) −4.09887 + 1.72790i −0.383894 + 0.161833i
\(115\) −4.62742 + 2.67164i −0.431509 + 0.249132i
\(116\) −7.62813 4.40410i −0.708254 0.408910i
\(117\) −10.7065 1.53961i −0.989818 0.142337i
\(118\) 2.52356i 0.232312i
\(119\) 6.75953 + 2.49563i 0.619645 + 0.228774i
\(120\) 3.69541 + 0.463030i 0.337343 + 0.0422687i
\(121\) −5.15353 + 8.92617i −0.468502 + 0.811470i
\(122\) −1.82753 + 3.16538i −0.165457 + 0.286580i
\(123\) 18.9602 7.99278i 1.70958 0.720685i
\(124\) 2.06419 + 1.19176i 0.185370 + 0.107023i
\(125\) 11.5607 1.03402
\(126\) 7.91226 + 0.629378i 0.704880 + 0.0560694i
\(127\) 9.89702 17.1421i 0.878219 1.52112i 0.0249248 0.999689i \(-0.492065\pi\)
0.853294 0.521430i \(-0.174601\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 1.67601 13.3761i 0.147564 1.17770i
\(130\) −0.823929 7.70885i −0.0722633 0.676110i
\(131\) 3.58433 + 6.20825i 0.313165 + 0.542417i 0.979046 0.203641i \(-0.0652774\pi\)
−0.665881 + 0.746058i \(0.731944\pi\)
\(132\) 1.43063 + 0.179257i 0.124521 + 0.0156023i
\(133\) −4.34351 5.22515i −0.376630 0.453078i
\(134\) −5.72816 + 3.30716i −0.494838 + 0.285695i
\(135\) −11.0480 + 1.66580i −0.950863 + 0.143370i
\(136\) 2.72343i 0.233532i
\(137\) 6.25378i 0.534296i 0.963655 + 0.267148i \(0.0860813\pi\)
−0.963655 + 0.267148i \(0.913919\pi\)
\(138\) −3.43100 2.59879i −0.292066 0.221224i
\(139\) 1.80427 1.04170i 0.153036 0.0883555i −0.421526 0.906816i \(-0.638506\pi\)
0.574563 + 0.818461i \(0.305172\pi\)
\(140\) 0.962029 + 5.60703i 0.0813063 + 0.473881i
\(141\) −0.183215 + 1.46222i −0.0154295 + 0.123141i
\(142\) 4.32143 + 7.48494i 0.362646 + 0.628122i
\(143\) −0.318974 2.98439i −0.0266740 0.249567i
\(144\) 0.812620 + 2.88784i 0.0677184 + 0.240654i
\(145\) 18.9396i 1.57285i
\(146\) 6.31743 10.9421i 0.522834 0.905575i
\(147\) 2.58898 + 11.8447i 0.213536 + 0.976935i
\(148\) 0.179924 0.0147896
\(149\) 10.5983 + 6.11893i 0.868247 + 0.501282i 0.866765 0.498716i \(-0.166195\pi\)
0.00148148 + 0.999999i \(0.499528\pi\)
\(150\) 0.253333 + 0.600948i 0.0206845 + 0.0490672i
\(151\) 0.503958 0.872882i 0.0410116 0.0710341i −0.844791 0.535096i \(-0.820275\pi\)
0.885803 + 0.464062i \(0.153609\pi\)
\(152\) 1.28408 2.22409i 0.104153 0.180398i
\(153\) −2.21311 7.86484i −0.178920 0.635835i
\(154\) 0.372438 + 2.17070i 0.0300119 + 0.174920i
\(155\) 5.12512i 0.411659i
\(156\) 5.46417 3.02371i 0.437484 0.242090i
\(157\) 13.6246 + 7.86616i 1.08736 + 0.627788i 0.932873 0.360206i \(-0.117294\pi\)
0.154489 + 0.987995i \(0.450627\pi\)
\(158\) 5.38345 3.10814i 0.428284 0.247270i
\(159\) 8.07057 + 19.1447i 0.640038 + 1.51828i
\(160\) −1.86215 + 1.07511i −0.147216 + 0.0849952i
\(161\) 2.27713 6.16772i 0.179463 0.486084i
\(162\) −4.69344 7.67930i −0.368752 0.603342i
\(163\) 11.9003 20.6120i 0.932105 1.61445i 0.152388 0.988321i \(-0.451304\pi\)
0.779717 0.626132i \(-0.215363\pi\)
\(164\) −5.93979 + 10.2880i −0.463820 + 0.803360i
\(165\) −1.20429 2.85677i −0.0937538 0.222400i
\(166\) 0.930821i 0.0722457i
\(167\) −1.67287 + 2.89750i −0.129451 + 0.224215i −0.923464 0.383685i \(-0.874655\pi\)
0.794013 + 0.607901i \(0.207988\pi\)
\(168\) −3.86087 + 2.46855i −0.297872 + 0.190452i
\(169\) −8.73259 9.63026i −0.671738 0.740789i
\(170\) 5.07144 2.92799i 0.388961 0.224567i
\(171\) −1.90088 + 7.46631i −0.145364 + 0.570963i
\(172\) 3.89154 + 6.74035i 0.296727 + 0.513947i
\(173\) −9.84211 + 17.0470i −0.748282 + 1.29606i 0.200364 + 0.979721i \(0.435787\pi\)
−0.948646 + 0.316340i \(0.897546\pi\)
\(174\) −14.0582 + 5.92630i −1.06575 + 0.449272i
\(175\) −0.766074 + 0.636815i −0.0579098 + 0.0481387i
\(176\) −0.720909 + 0.416217i −0.0543406 + 0.0313736i
\(177\) −3.48425 2.63913i −0.261893 0.198369i
\(178\) 1.14590i 0.0858886i
\(179\) 1.15524 0.666976i 0.0863464 0.0498521i −0.456205 0.889875i \(-0.650792\pi\)
0.542551 + 0.840023i \(0.317458\pi\)
\(180\) 4.50394 4.61798i 0.335704 0.344204i
\(181\) 1.13213i 0.0841503i 0.999114 + 0.0420752i \(0.0133969\pi\)
−0.999114 + 0.0420752i \(0.986603\pi\)
\(182\) 6.84312 + 6.64618i 0.507246 + 0.492648i
\(183\) 2.45918 + 5.83360i 0.181788 + 0.431232i
\(184\) 2.48498 0.183196
\(185\) −0.193438 0.335045i −0.0142219 0.0246330i
\(186\) 3.80418 1.60367i 0.278936 0.117587i
\(187\) 1.96335 1.13354i 0.143574 0.0828925i
\(188\) −0.425408 0.736829i −0.0310261 0.0537388i
\(189\) 9.14359 10.2662i 0.665098 0.746756i
\(190\) −5.52213 −0.400618
\(191\) −18.3935 10.6195i −1.33091 0.768402i −0.345471 0.938429i \(-0.612281\pi\)
−0.985439 + 0.170028i \(0.945614\pi\)
\(192\) −1.38069 1.04580i −0.0996429 0.0754738i
\(193\) −1.56454 2.70986i −0.112618 0.195060i 0.804207 0.594349i \(-0.202590\pi\)
−0.916825 + 0.399289i \(0.869257\pi\)
\(194\) −4.09294 7.08918i −0.293856 0.508973i
\(195\) −11.5052 6.92429i −0.823905 0.495859i
\(196\) −5.32058 4.54878i −0.380041 0.324913i
\(197\) −10.6747 6.16302i −0.760538 0.439097i 0.0689508 0.997620i \(-0.478035\pi\)
−0.829489 + 0.558523i \(0.811368\pi\)
\(198\) 1.74365 1.78780i 0.123916 0.127053i
\(199\) 27.4125i 1.94322i 0.236587 + 0.971610i \(0.423971\pi\)
−0.236587 + 0.971610i \(0.576029\pi\)
\(200\) −0.326081 0.188263i −0.0230574 0.0133122i
\(201\) −1.42433 + 11.3674i −0.100464 + 0.801797i
\(202\) −11.5767 + 6.68381i −0.814534 + 0.470271i
\(203\) −14.8972 17.9210i −1.04558 1.25781i
\(204\) 3.76022 + 2.84815i 0.263268 + 0.199411i
\(205\) 25.5438 1.78406
\(206\) 7.40885 + 12.8325i 0.516199 + 0.894083i
\(207\) −7.17625 + 2.01935i −0.498784 + 0.140354i
\(208\) −1.46072 + 3.29641i −0.101283 + 0.228565i
\(209\) −2.13783 −0.147877
\(210\) 8.74767 + 4.53555i 0.603647 + 0.312983i
\(211\) 11.7715 20.3889i 0.810384 1.40363i −0.102211 0.994763i \(-0.532592\pi\)
0.912595 0.408864i \(-0.134075\pi\)
\(212\) −10.3882 5.99761i −0.713462 0.411917i
\(213\) 14.8537 + 1.86115i 1.01776 + 0.127524i
\(214\) −1.40104 −0.0957733
\(215\) 8.36769 14.4933i 0.570672 0.988433i
\(216\) 4.83706 + 1.89812i 0.329120 + 0.129151i
\(217\) 4.03123 + 4.84948i 0.273658 + 0.329204i
\(218\) 7.01062 + 4.04758i 0.474819 + 0.274137i
\(219\) −8.50093 20.1656i −0.574440 1.36267i
\(220\) 1.55012 + 0.894961i 0.104509 + 0.0603383i
\(221\) 3.97817 8.97753i 0.267601 0.603894i
\(222\) 0.188164 0.248419i 0.0126287 0.0166728i
\(223\) −25.4264 14.6799i −1.70268 0.983041i −0.943032 0.332702i \(-0.892040\pi\)
−0.759644 0.650339i \(-0.774627\pi\)
\(224\) 0.916357 2.48199i 0.0612267 0.165835i
\(225\) 1.09466 + 0.278694i 0.0729772 + 0.0185796i
\(226\) 1.82030 + 3.15285i 0.121085 + 0.209725i
\(227\) −28.3861 −1.88405 −0.942025 0.335541i \(-0.891081\pi\)
−0.942025 + 0.335541i \(0.891081\pi\)
\(228\) −1.72790 4.09887i −0.114433 0.271454i
\(229\) −12.6122 + 7.28164i −0.833435 + 0.481184i −0.855027 0.518583i \(-0.826460\pi\)
0.0215921 + 0.999767i \(0.493126\pi\)
\(230\) −2.67164 4.62742i −0.176163 0.305123i
\(231\) 3.38656 + 1.75588i 0.222819 + 0.115529i
\(232\) 4.40410 7.62813i 0.289143 0.500811i
\(233\) 12.8119 7.39695i 0.839335 0.484590i −0.0177033 0.999843i \(-0.505635\pi\)
0.857038 + 0.515253i \(0.172302\pi\)
\(234\) 1.53961 10.7065i 0.100647 0.699907i
\(235\) −0.914724 + 1.58435i −0.0596700 + 0.103352i
\(236\) 2.52356 0.164270
\(237\) 1.33861 10.6834i 0.0869523 0.693959i
\(238\) −2.49563 + 6.75953i −0.161768 + 0.438155i
\(239\) 20.0261i 1.29538i −0.761903 0.647692i \(-0.775735\pi\)
0.761903 0.647692i \(-0.224265\pi\)
\(240\) −0.463030 + 3.69541i −0.0298885 + 0.238537i
\(241\) 10.4032i 0.670127i −0.942196 0.335063i \(-0.891242\pi\)
0.942196 0.335063i \(-0.108758\pi\)
\(242\) −8.92617 5.15353i −0.573796 0.331281i
\(243\) −15.5111 1.55078i −0.995039 0.0994825i
\(244\) −3.16538 1.82753i −0.202642 0.116996i
\(245\) −2.75029 + 14.7982i −0.175710 + 0.945421i
\(246\) 7.99278 + 18.9602i 0.509601 + 1.20886i
\(247\) −7.48164 + 5.45584i −0.476045 + 0.347147i
\(248\) −1.19176 + 2.06419i −0.0756769 + 0.131076i
\(249\) −1.28518 0.973449i −0.0814448 0.0616898i
\(250\) 11.5607i 0.731166i
\(251\) 1.11415 + 1.92977i 0.0703247 + 0.121806i 0.899044 0.437859i \(-0.144263\pi\)
−0.828719 + 0.559665i \(0.810930\pi\)
\(252\) −0.629378 + 7.91226i −0.0396471 + 0.498426i
\(253\) −1.03429 1.79145i −0.0650255 0.112627i
\(254\) 17.1421 + 9.89702i 1.07559 + 0.620994i
\(255\) 1.26103 10.0642i 0.0789687 0.630243i
\(256\) 1.00000 0.0625000
\(257\) −6.20605 −0.387123 −0.193561 0.981088i \(-0.562004\pi\)
−0.193561 + 0.981088i \(0.562004\pi\)
\(258\) 13.3761 + 1.67601i 0.832760 + 0.104344i
\(259\) 0.446570 + 0.164874i 0.0277485 + 0.0102448i
\(260\) 7.70885 0.823929i 0.478082 0.0510979i
\(261\) −6.51959 + 25.6077i −0.403552 + 1.58508i
\(262\) −6.20825 + 3.58433i −0.383547 + 0.221441i
\(263\) −21.2094 + 12.2453i −1.30783 + 0.755075i −0.981733 0.190262i \(-0.939066\pi\)
−0.326095 + 0.945337i \(0.605733\pi\)
\(264\) −0.179257 + 1.43063i −0.0110325 + 0.0880493i
\(265\) 25.7924i 1.58442i
\(266\) 5.22515 4.34351i 0.320374 0.266318i
\(267\) −1.58213 1.19837i −0.0968248 0.0733393i
\(268\) −3.30716 5.72816i −0.202017 0.349903i
\(269\) −5.00152 −0.304948 −0.152474 0.988307i \(-0.548724\pi\)
−0.152474 + 0.988307i \(0.548724\pi\)
\(270\) −1.66580 11.0480i −0.101378 0.672361i
\(271\) 6.59272i 0.400479i 0.979747 + 0.200240i \(0.0641721\pi\)
−0.979747 + 0.200240i \(0.935828\pi\)
\(272\) −2.72343 −0.165132
\(273\) 16.3328 2.49769i 0.988508 0.151167i
\(274\) −6.25378 −0.377805
\(275\) 0.313433i 0.0189007i
\(276\) 2.59879 3.43100i 0.156429 0.206522i
\(277\) −16.9907 −1.02087 −0.510436 0.859916i \(-0.670516\pi\)
−0.510436 + 0.859916i \(0.670516\pi\)
\(278\) 1.04170 + 1.80427i 0.0624767 + 0.108213i
\(279\) 1.76422 6.92952i 0.105621 0.414859i
\(280\) −5.60703 + 0.962029i −0.335084 + 0.0574923i
\(281\) 3.11696i 0.185942i −0.995669 0.0929712i \(-0.970364\pi\)
0.995669 0.0929712i \(-0.0296364\pi\)
\(282\) −1.46222 0.183215i −0.0870742 0.0109103i
\(283\) 10.7512 6.20719i 0.639091 0.368979i −0.145173 0.989406i \(-0.546374\pi\)
0.784264 + 0.620427i \(0.213041\pi\)
\(284\) −7.48494 + 4.32143i −0.444149 + 0.256430i
\(285\) −5.77503 + 7.62436i −0.342083 + 0.451628i
\(286\) 2.98439 0.318974i 0.176471 0.0188613i
\(287\) −24.1700 + 20.0918i −1.42671 + 1.18598i
\(288\) −2.88784 + 0.812620i −0.170168 + 0.0478841i
\(289\) −9.58293 −0.563702
\(290\) −18.9396 −1.11217
\(291\) −14.0683 1.76275i −0.824701 0.103334i
\(292\) 10.9421 + 6.31743i 0.640338 + 0.369699i
\(293\) −2.20558 3.82017i −0.128851 0.223177i 0.794381 0.607420i \(-0.207796\pi\)
−0.923232 + 0.384244i \(0.874462\pi\)
\(294\) −11.8447 + 2.58898i −0.690798 + 0.150993i
\(295\) −2.71311 4.69924i −0.157963 0.273600i
\(296\) 0.179924i 0.0104579i
\(297\) −0.644896 4.27711i −0.0374206 0.248183i
\(298\) −6.11893 + 10.5983i −0.354460 + 0.613943i
\(299\) −8.19152 3.62987i −0.473728 0.209921i
\(300\) −0.600948 + 0.253333i −0.0346957 + 0.0146262i
\(301\) 3.48222 + 20.2955i 0.200712 + 1.16982i
\(302\) 0.872882 + 0.503958i 0.0502287 + 0.0289995i
\(303\) −2.87859 + 22.9738i −0.165370 + 1.31981i
\(304\) 2.22409 + 1.28408i 0.127561 + 0.0736471i
\(305\) 7.85921i 0.450017i
\(306\) 7.86484 2.21311i 0.449603 0.126515i
\(307\) 16.2434i 0.927062i 0.886081 + 0.463531i \(0.153418\pi\)
−0.886081 + 0.463531i \(0.846582\pi\)
\(308\) −2.17070 + 0.372438i −0.123687 + 0.0212216i
\(309\) 25.4659 + 3.19084i 1.44870 + 0.181521i
\(310\) 5.12512 0.291087
\(311\) 12.4845 21.6238i 0.707930 1.22617i −0.257693 0.966227i \(-0.582962\pi\)
0.965624 0.259944i \(-0.0837042\pi\)
\(312\) 3.02371 + 5.46417i 0.171184 + 0.309348i
\(313\) −23.0661 + 13.3172i −1.30377 + 0.752733i −0.981049 0.193761i \(-0.937931\pi\)
−0.322722 + 0.946494i \(0.604598\pi\)
\(314\) −7.86616 + 13.6246i −0.443913 + 0.768880i
\(315\) 15.4105 7.33458i 0.868282 0.413257i
\(316\) 3.10814 + 5.38345i 0.174846 + 0.302843i
\(317\) −7.23589 + 4.17764i −0.406408 + 0.234640i −0.689245 0.724528i \(-0.742058\pi\)
0.282837 + 0.959168i \(0.408724\pi\)
\(318\) −19.1447 + 8.07057i −1.07358 + 0.452575i
\(319\) −7.33225 −0.410527
\(320\) −1.07511 1.86215i −0.0601007 0.104097i
\(321\) −1.46520 + 1.93441i −0.0817798 + 0.107968i
\(322\) 6.16772 + 2.27713i 0.343713 + 0.126900i
\(323\) −6.05716 3.49711i −0.337030 0.194584i
\(324\) 7.67930 4.69344i 0.426628 0.260747i
\(325\) 0.799896 + 1.09690i 0.0443703 + 0.0608453i
\(326\) 20.6120 + 11.9003i 1.14159 + 0.659098i
\(327\) 12.9201 5.44656i 0.714486 0.301195i
\(328\) −10.2880 5.93979i −0.568061 0.327970i
\(329\) −0.380662 2.21863i −0.0209866 0.122317i
\(330\) 2.85677 1.20429i 0.157260 0.0662939i
\(331\) −7.96452 + 13.7950i −0.437770 + 0.758239i −0.997517 0.0704239i \(-0.977565\pi\)
0.559747 + 0.828663i \(0.310898\pi\)
\(332\) 0.930821 0.0510854
\(333\) −0.146210 0.519592i −0.00801224 0.0284735i
\(334\) −2.89750 1.67287i −0.158544 0.0915355i
\(335\) −7.11113 + 12.3168i −0.388523 + 0.672941i
\(336\) −2.46855 3.86087i −0.134670 0.210627i
\(337\) −1.38803 −0.0756107 −0.0378054 0.999285i \(-0.512037\pi\)
−0.0378054 + 0.999285i \(0.512037\pi\)
\(338\) 9.63026 8.73259i 0.523817 0.474990i
\(339\) 6.25678 + 0.783968i 0.339822 + 0.0425793i
\(340\) 2.92799 + 5.07144i 0.158793 + 0.275037i
\(341\) 1.98413 0.107446
\(342\) −7.46631 1.90088i −0.403732 0.102788i
\(343\) −9.03734 16.1656i −0.487970 0.872860i
\(344\) −6.74035 + 3.89154i −0.363415 + 0.209818i
\(345\) −9.18303 1.15062i −0.494398 0.0619474i
\(346\) −17.0470 9.84211i −0.916454 0.529115i
\(347\) 0.408244i 0.0219157i −0.999940 0.0109578i \(-0.996512\pi\)
0.999940 0.0109578i \(-0.00348806\pi\)
\(348\) −5.92630 14.0582i −0.317683 0.753597i
\(349\) −1.55975 0.900521i −0.0834914 0.0482038i 0.457673 0.889121i \(-0.348683\pi\)
−0.541164 + 0.840917i \(0.682016\pi\)
\(350\) −0.636815 0.766074i −0.0340392 0.0409484i
\(351\) −13.1723 13.3226i −0.703085 0.711106i
\(352\) −0.416217 0.720909i −0.0221845 0.0384246i
\(353\) −11.9782 20.7468i −0.637534 1.10424i −0.985972 0.166909i \(-0.946621\pi\)
0.348438 0.937332i \(-0.386712\pi\)
\(354\) 2.63913 3.48425i 0.140268 0.185186i
\(355\) 16.0943 + 9.29205i 0.854197 + 0.493171i
\(356\) 1.14590 0.0607324
\(357\) 6.72291 + 10.5148i 0.355814 + 0.556502i
\(358\) 0.666976 + 1.15524i 0.0352508 + 0.0610561i
\(359\) 7.14363 4.12438i 0.377026 0.217676i −0.299497 0.954097i \(-0.596819\pi\)
0.676524 + 0.736421i \(0.263486\pi\)
\(360\) 4.61798 + 4.50394i 0.243389 + 0.237379i
\(361\) −6.20227 10.7426i −0.326435 0.565402i
\(362\) −1.13213 −0.0595033
\(363\) −16.4504 + 6.93475i −0.863421 + 0.363980i
\(364\) −6.64618 + 6.84312i −0.348355 + 0.358677i
\(365\) 27.1678i 1.42203i
\(366\) −5.83360 + 2.45918i −0.304927 + 0.128544i
\(367\) 10.1065 5.83498i 0.527554 0.304583i −0.212466 0.977168i \(-0.568149\pi\)
0.740020 + 0.672585i \(0.234816\pi\)
\(368\) 2.48498i 0.129539i
\(369\) 34.5370 + 8.79295i 1.79793 + 0.457742i
\(370\) 0.335045 0.193438i 0.0174182 0.0100564i
\(371\) −20.2874 24.4053i −1.05327 1.26706i
\(372\) 1.60367 + 3.80418i 0.0831466 + 0.197238i
\(373\) 15.9469 27.6209i 0.825701 1.43016i −0.0756809 0.997132i \(-0.524113\pi\)
0.901382 0.433024i \(-0.142554\pi\)
\(374\) 1.13354 + 1.96335i 0.0586139 + 0.101522i
\(375\) 15.9618 + 12.0902i 0.824265 + 0.624335i
\(376\) 0.736829 0.425408i 0.0379990 0.0219388i
\(377\) −25.6603 + 18.7122i −1.32157 + 0.963730i
\(378\) 10.2662 + 9.14359i 0.528036 + 0.470296i
\(379\) −9.93293 + 17.2043i −0.510220 + 0.883727i 0.489710 + 0.871886i \(0.337103\pi\)
−0.999930 + 0.0118419i \(0.996231\pi\)
\(380\) 5.52213i 0.283279i
\(381\) 31.5919 13.3178i 1.61850 0.682289i
\(382\) 10.6195 18.3935i 0.543342 0.941096i
\(383\) 0.366640 0.635039i 0.0187344 0.0324490i −0.856506 0.516137i \(-0.827370\pi\)
0.875241 + 0.483688i \(0.160703\pi\)
\(384\) 1.04580 1.38069i 0.0533681 0.0704581i
\(385\) 3.02728 + 3.64175i 0.154284 + 0.185601i
\(386\) 2.70986 1.56454i 0.137928 0.0796329i
\(387\) 16.3027 16.7155i 0.828714 0.849697i
\(388\) 7.08918 4.09294i 0.359898 0.207787i
\(389\) 28.6554 + 16.5442i 1.45289 + 0.838825i 0.998644 0.0520523i \(-0.0165763\pi\)
0.454244 + 0.890878i \(0.349910\pi\)
\(390\) 6.92429 11.5052i 0.350625 0.582589i
\(391\) 6.76768i 0.342256i
\(392\) 4.54878 5.32058i 0.229748 0.268730i
\(393\) −1.54370 + 12.3202i −0.0778695 + 0.621470i
\(394\) 6.16302 10.6747i 0.310488 0.537782i
\(395\) 6.68320 11.5756i 0.336268 0.582434i
\(396\) 1.78780 + 1.74365i 0.0898401 + 0.0876216i
\(397\) 10.2958 + 5.94426i 0.516729 + 0.298334i 0.735595 0.677421i \(-0.236903\pi\)
−0.218866 + 0.975755i \(0.570236\pi\)
\(398\) −27.4125 −1.37406
\(399\) −0.532613 11.7567i −0.0266640 0.588573i
\(400\) 0.188263 0.326081i 0.00941315 0.0163041i
\(401\) 23.5937i 1.17821i 0.808055 + 0.589107i \(0.200521\pi\)
−0.808055 + 0.589107i \(0.799479\pi\)
\(402\) −11.3674 1.42433i −0.566956 0.0710390i
\(403\) 6.94374 5.06359i 0.345892 0.252235i
\(404\) −6.68381 11.5767i −0.332532 0.575962i
\(405\) −16.9960 9.25402i −0.844539 0.459836i
\(406\) 17.9210 14.8972i 0.889406 0.739337i
\(407\) 0.129709 0.0748874i 0.00642942 0.00371203i
\(408\) −2.84815 + 3.76022i −0.141005 + 0.186158i
\(409\) 11.3544i 0.561437i −0.959790 0.280718i \(-0.909427\pi\)
0.959790 0.280718i \(-0.0905727\pi\)
\(410\) 25.5438i 1.26152i
\(411\) −6.54018 + 8.63454i −0.322603 + 0.425911i
\(412\) −12.8325 + 7.40885i −0.632212 + 0.365008i
\(413\) 6.26345 + 2.31248i 0.308204 + 0.113790i
\(414\) −2.01935 7.17625i −0.0992456 0.352693i
\(415\) −1.00074 1.73333i −0.0491243 0.0850858i
\(416\) −3.29641 1.46072i −0.161620 0.0716177i
\(417\) 3.58054 + 0.448638i 0.175340 + 0.0219699i
\(418\) 2.13783i 0.104565i
\(419\) 6.35642 11.0096i 0.310531 0.537856i −0.667946 0.744210i \(-0.732826\pi\)
0.978477 + 0.206354i \(0.0661597\pi\)
\(420\) −4.53555 + 8.74767i −0.221312 + 0.426843i
\(421\) 36.5159 1.77968 0.889839 0.456275i \(-0.150817\pi\)
0.889839 + 0.456275i \(0.150817\pi\)
\(422\) 20.3889 + 11.7715i 0.992514 + 0.573028i
\(423\) −1.78215 + 1.82728i −0.0866512 + 0.0888452i
\(424\) 5.99761 10.3882i 0.291270 0.504494i
\(425\) −0.512721 + 0.888059i −0.0248706 + 0.0430772i
\(426\) −1.86115 + 14.8537i −0.0901733 + 0.719665i
\(427\) −6.18177 7.43653i −0.299157 0.359879i
\(428\) 1.40104i 0.0677219i
\(429\) 2.68066 4.45410i 0.129423 0.215046i
\(430\) 14.4933 + 8.36769i 0.698928 + 0.403526i
\(431\) 5.17597 2.98835i 0.249318 0.143944i −0.370134 0.928978i \(-0.620688\pi\)
0.619452 + 0.785035i \(0.287355\pi\)
\(432\) −1.89812 + 4.83706i −0.0913233 + 0.232723i
\(433\) 27.0676 15.6275i 1.30079 0.751009i 0.320247 0.947334i \(-0.396234\pi\)
0.980539 + 0.196325i \(0.0629008\pi\)
\(434\) −4.84948 + 4.03123i −0.232783 + 0.193505i
\(435\) −19.8070 + 26.1498i −0.949672 + 1.25379i
\(436\) −4.04758 + 7.01062i −0.193844 + 0.335748i
\(437\) −3.19092 + 5.52684i −0.152643 + 0.264385i
\(438\) 20.1656 8.50093i 0.963551 0.406190i
\(439\) 29.7890i 1.42175i −0.703319 0.710875i \(-0.748299\pi\)
0.703319 0.710875i \(-0.251701\pi\)
\(440\) −0.894961 + 1.55012i −0.0426656 + 0.0738990i
\(441\) −8.81256 + 19.0614i −0.419646 + 0.907688i
\(442\) 8.97753 + 3.97817i 0.427018 + 0.189222i
\(443\) −18.4003 + 10.6234i −0.874224 + 0.504733i −0.868750 0.495252i \(-0.835076\pi\)
−0.00547441 + 0.999985i \(0.501743\pi\)
\(444\) 0.248419 + 0.188164i 0.0117895 + 0.00892985i
\(445\) −1.23197 2.13383i −0.0584009 0.101153i
\(446\) 14.6799 25.4264i 0.695115 1.20397i
\(447\) 8.23383 + 19.5320i 0.389447 + 0.923833i
\(448\) 2.48199 + 0.916357i 0.117263 + 0.0432938i
\(449\) 24.6546 14.2344i 1.16352 0.671761i 0.211377 0.977405i \(-0.432205\pi\)
0.952146 + 0.305644i \(0.0988717\pi\)
\(450\) −0.278694 + 1.09466i −0.0131378 + 0.0516027i
\(451\) 9.88898i 0.465654i
\(452\) −3.15285 + 1.82030i −0.148298 + 0.0856197i
\(453\) 1.60867 0.678143i 0.0755818 0.0318619i
\(454\) 28.3861i 1.33223i
\(455\) 19.8883 + 5.01907i 0.932379 + 0.235297i
\(456\) 4.09887 1.72790i 0.191947 0.0809164i
\(457\) −20.4132 −0.954887 −0.477444 0.878662i \(-0.658436\pi\)
−0.477444 + 0.878662i \(0.658436\pi\)
\(458\) −7.28164 12.6122i −0.340249 0.589328i
\(459\) 5.16939 13.1734i 0.241287 0.614881i
\(460\) 4.62742 2.67164i 0.215754 0.124566i
\(461\) 0.909994 + 1.57616i 0.0423827 + 0.0734089i 0.886439 0.462846i \(-0.153172\pi\)
−0.844056 + 0.536255i \(0.819838\pi\)
\(462\) −1.75588 + 3.38656i −0.0816911 + 0.157557i
\(463\) −22.0589 −1.02517 −0.512583 0.858638i \(-0.671311\pi\)
−0.512583 + 0.858638i \(0.671311\pi\)
\(464\) 7.62813 + 4.40410i 0.354127 + 0.204455i
\(465\) 5.35983 7.07621i 0.248556 0.328151i
\(466\) 7.39695 + 12.8119i 0.342657 + 0.593499i
\(467\) 3.76001 + 6.51253i 0.173993 + 0.301364i 0.939812 0.341691i \(-0.111000\pi\)
−0.765820 + 0.643056i \(0.777666\pi\)
\(468\) 10.7065 + 1.53961i 0.494909 + 0.0711683i
\(469\) −2.95930 17.2478i −0.136648 0.796429i
\(470\) −1.58435 0.914724i −0.0730806 0.0421931i
\(471\) 10.5850 + 25.1093i 0.487729 + 1.15698i
\(472\) 2.52356i 0.116156i
\(473\) 5.61090 + 3.23945i 0.257989 + 0.148950i
\(474\) 10.6834 + 1.33861i 0.490703 + 0.0614845i
\(475\) 0.837430 0.483490i 0.0384239 0.0221841i
\(476\) −6.75953 2.49563i −0.309823 0.114387i
\(477\) −8.87853 + 34.8732i −0.406520 + 1.59673i
\(478\) 20.0261 0.915974
\(479\) 15.4173 + 26.7035i 0.704433 + 1.22011i 0.966896 + 0.255172i \(0.0821319\pi\)
−0.262463 + 0.964942i \(0.584535\pi\)
\(480\) −3.69541 0.463030i −0.168671 0.0211343i
\(481\) 0.262818 0.593102i 0.0119835 0.0270431i
\(482\) 10.4032 0.473851
\(483\) 9.59419 6.13430i 0.436551 0.279120i
\(484\) 5.15353 8.92617i 0.234251 0.405735i
\(485\) −15.2433 8.80074i −0.692164 0.399621i
\(486\) 1.55078 15.5111i 0.0703448 0.703599i
\(487\) −6.30617 −0.285760 −0.142880 0.989740i \(-0.545636\pi\)
−0.142880 + 0.989740i \(0.545636\pi\)
\(488\) 1.82753 3.16538i 0.0827284 0.143290i
\(489\) 37.9866 16.0135i 1.71781 0.724153i
\(490\) −14.7982 2.75029i −0.668514 0.124245i
\(491\) −10.5405 6.08555i −0.475686 0.274637i 0.242931 0.970044i \(-0.421891\pi\)
−0.718617 + 0.695406i \(0.755224\pi\)
\(492\) −18.9602 + 7.99278i −0.854792 + 0.360342i
\(493\) −20.7747 11.9943i −0.935644 0.540194i
\(494\) −5.45584 7.48164i −0.245470 0.336615i
\(495\) 1.32485 5.20376i 0.0595476 0.233892i
\(496\) −2.06419 1.19176i −0.0926850 0.0535117i
\(497\) −22.5375 + 3.86689i −1.01095 + 0.173454i
\(498\) 0.973449 1.28518i 0.0436213 0.0575902i
\(499\) −16.3741 28.3607i −0.733004 1.26960i −0.955593 0.294688i \(-0.904784\pi\)
0.222589 0.974912i \(-0.428549\pi\)
\(500\) −11.5607 −0.517012
\(501\) −5.33991 + 2.25107i −0.238570 + 0.100570i
\(502\) −1.92977 + 1.11415i −0.0861298 + 0.0497270i
\(503\) 14.6644 + 25.3994i 0.653852 + 1.13251i 0.982180 + 0.187941i \(0.0601815\pi\)
−0.328328 + 0.944564i \(0.606485\pi\)
\(504\) −7.91226 0.629378i −0.352440 0.0280347i
\(505\) −14.3717 + 24.8925i −0.639533 + 1.10770i
\(506\) 1.79145 1.03429i 0.0796396 0.0459799i
\(507\) −1.98573 22.4289i −0.0881895 0.996104i
\(508\) −9.89702 + 17.1421i −0.439109 + 0.760560i
\(509\) −42.1369 −1.86769 −0.933843 0.357682i \(-0.883567\pi\)
−0.933843 + 0.357682i \(0.883567\pi\)
\(510\) 10.0642 + 1.26103i 0.445649 + 0.0558393i
\(511\) 21.3692 + 25.7067i 0.945318 + 1.13720i
\(512\) 1.00000i 0.0441942i
\(513\) −10.4328 + 8.32074i −0.460618 + 0.367370i
\(514\) 6.20605i 0.273737i
\(515\) 27.5928 + 15.9307i 1.21588 + 0.701990i
\(516\) −1.67601 + 13.3761i −0.0737822 + 0.588850i
\(517\) −0.613362 0.354124i −0.0269756 0.0155744i
\(518\) −0.164874 + 0.446570i −0.00724416 + 0.0196211i
\(519\) −31.4166 + 13.2439i −1.37904 + 0.581341i
\(520\) 0.823929 + 7.70885i 0.0361317 + 0.338055i
\(521\) 1.88398 3.26316i 0.0825389 0.142962i −0.821801 0.569775i \(-0.807030\pi\)
0.904340 + 0.426813i \(0.140364\pi\)
\(522\) −25.6077 6.51959i −1.12082 0.285355i
\(523\) 21.1539i 0.924995i −0.886621 0.462498i \(-0.846953\pi\)
0.886621 0.462498i \(-0.153047\pi\)
\(524\) −3.58433 6.20825i −0.156582 0.271209i
\(525\) −1.72369 + 0.0780879i −0.0752281 + 0.00340804i
\(526\) −12.2453 21.2094i −0.533919 0.924774i
\(527\) 5.62168 + 3.24568i 0.244884 + 0.141384i
\(528\) −1.43063 0.179257i −0.0622603 0.00780114i
\(529\) 16.8249 0.731515
\(530\) −25.7924 −1.12035
\(531\) −2.05069 7.28764i −0.0889925 0.316257i
\(532\) 4.34351 + 5.22515i 0.188315 + 0.226539i
\(533\) 25.2371 + 34.6079i 1.09314 + 1.49903i
\(534\) 1.19837 1.58213i 0.0518587 0.0684655i
\(535\) −2.60895 + 1.50628i −0.112795 + 0.0651221i
\(536\) 5.72816 3.30716i 0.247419 0.142847i
\(537\) 2.29255 + 0.287253i 0.0989307 + 0.0123959i
\(538\) 5.00152i 0.215631i
\(539\) −5.72894 1.06474i −0.246763 0.0458617i
\(540\) 11.0480 1.66580i 0.475431 0.0716848i
\(541\) −9.07775 15.7231i −0.390283 0.675990i 0.602204 0.798343i \(-0.294290\pi\)
−0.992487 + 0.122352i \(0.960956\pi\)
\(542\) −6.59272 −0.283182
\(543\) −1.18397 + 1.56312i −0.0508092 + 0.0670798i
\(544\) 2.72343i 0.116766i
\(545\) 17.4064 0.745610
\(546\) 2.49769 + 16.3328i 0.106891 + 0.698981i
\(547\) 26.8382 1.14752 0.573760 0.819023i \(-0.305484\pi\)
0.573760 + 0.819023i \(0.305484\pi\)
\(548\) 6.25378i 0.267148i
\(549\) −2.70538 + 10.6262i −0.115463 + 0.453515i
\(550\) −0.313433 −0.0133648
\(551\) 11.3104 + 19.5903i 0.481841 + 0.834574i
\(552\) 3.43100 + 2.59879i 0.146033 + 0.110612i
\(553\) 2.78121 + 16.2099i 0.118269 + 0.689313i
\(554\) 16.9907i 0.721866i
\(555\) 0.0833101 0.664891i 0.00353632 0.0282231i
\(556\) −1.80427 + 1.04170i −0.0765181 + 0.0441777i
\(557\) 10.5135 6.06999i 0.445473 0.257194i −0.260443 0.965489i \(-0.583869\pi\)
0.705916 + 0.708295i \(0.250535\pi\)
\(558\) 6.92952 + 1.76422i 0.293350 + 0.0746853i
\(559\) 27.9034 2.98234i 1.18019 0.126140i
\(560\) −0.962029 5.60703i −0.0406532 0.236940i
\(561\) 3.89622 + 0.488192i 0.164499 + 0.0206115i
\(562\) 3.11696 0.131481
\(563\) 2.57546 0.108543 0.0542714 0.998526i \(-0.482716\pi\)
0.0542714 + 0.998526i \(0.482716\pi\)
\(564\) 0.183215 1.46222i 0.00771474 0.0615707i
\(565\) 6.77935 + 3.91406i 0.285209 + 0.164666i
\(566\) 6.20719 + 10.7512i 0.260908 + 0.451905i
\(567\) 23.3608 4.61212i 0.981063 0.193691i
\(568\) −4.32143 7.48494i −0.181323 0.314061i
\(569\) 28.3643i 1.18909i −0.804061 0.594547i \(-0.797332\pi\)
0.804061 0.594547i \(-0.202668\pi\)
\(570\) −7.62436 5.77503i −0.319350 0.241889i
\(571\) 2.33873 4.05080i 0.0978729 0.169521i −0.812931 0.582360i \(-0.802129\pi\)
0.910804 + 0.412839i \(0.135463\pi\)
\(572\) 0.318974 + 2.98439i 0.0133370 + 0.124783i
\(573\) −14.2900 33.8982i −0.596972 1.41612i
\(574\) −20.0918 24.1700i −0.838617 1.00884i
\(575\) 0.810307 + 0.467831i 0.0337921 + 0.0195099i
\(576\) −0.812620 2.88784i −0.0338592 0.120327i
\(577\) 39.9089 + 23.0414i 1.66143 + 0.959228i 0.972033 + 0.234845i \(0.0754584\pi\)
0.689398 + 0.724382i \(0.257875\pi\)
\(578\) 9.58293i 0.398598i
\(579\) 0.673815 5.37767i 0.0280028 0.223488i
\(580\) 18.9396i 0.786425i
\(581\) 2.31029 + 0.852964i 0.0958470 + 0.0353869i
\(582\) 1.76275 14.0683i 0.0730682 0.583152i
\(583\) −9.98523 −0.413546
\(584\) −6.31743 + 10.9421i −0.261417 + 0.452787i
\(585\) −8.64374 21.5924i −0.357375 0.892736i
\(586\) 3.82017 2.20558i 0.157810 0.0911115i
\(587\) 4.23462 7.33458i 0.174781 0.302730i −0.765304 0.643669i \(-0.777411\pi\)
0.940086 + 0.340938i \(0.110745\pi\)
\(588\) −2.58898 11.8447i −0.106768 0.488468i
\(589\) −3.06064 5.30118i −0.126111 0.218431i
\(590\) 4.69924 2.71311i 0.193465 0.111697i
\(591\) −8.29316 19.6728i −0.341135 0.809229i
\(592\) −0.179924 −0.00739482
\(593\) −4.98232 8.62964i −0.204599 0.354377i 0.745406 0.666611i \(-0.232256\pi\)
−0.950005 + 0.312235i \(0.898923\pi\)
\(594\) 4.27711 0.644896i 0.175492 0.0264604i
\(595\) 2.62002 + 15.2704i 0.107410 + 0.626024i
\(596\) −10.5983 6.11893i −0.434123 0.250641i
\(597\) −28.6679 + 37.8482i −1.17330 + 1.54902i
\(598\) 3.62987 8.19152i 0.148436 0.334976i
\(599\) 29.5283 + 17.0482i 1.20649 + 0.696569i 0.961991 0.273080i \(-0.0880423\pi\)
0.244502 + 0.969649i \(0.421376\pi\)
\(600\) −0.253333 0.600948i −0.0103423 0.0245336i
\(601\) 10.4907 + 6.05683i 0.427926 + 0.247063i 0.698463 0.715646i \(-0.253868\pi\)
−0.270537 + 0.962710i \(0.587201\pi\)
\(602\) −20.2955 + 3.48222i −0.827184 + 0.141925i
\(603\) −13.8546 + 14.2054i −0.564202 + 0.578487i
\(604\) −0.503958 + 0.872882i −0.0205058 + 0.0355170i
\(605\) −22.1625 −0.901034
\(606\) −22.9738 2.87859i −0.933245 0.116935i
\(607\) −18.3365 10.5866i −0.744255 0.429696i 0.0793596 0.996846i \(-0.474712\pi\)
−0.823614 + 0.567150i \(0.808046\pi\)
\(608\) −1.28408 + 2.22409i −0.0520764 + 0.0901990i
\(609\) −1.82674 40.3229i −0.0740231 1.63397i
\(610\) −7.85921 −0.318210
\(611\) −3.05029 + 0.326018i −0.123402 + 0.0131893i
\(612\) 2.21311 + 7.86484i 0.0894598 + 0.317917i
\(613\) 3.06942 + 5.31640i 0.123973 + 0.214727i 0.921331 0.388779i \(-0.127103\pi\)
−0.797358 + 0.603506i \(0.793770\pi\)
\(614\) −16.2434 −0.655532
\(615\) 35.2681 + 26.7136i 1.42215 + 1.07720i
\(616\) −0.372438 2.17070i −0.0150060 0.0874598i
\(617\) 12.0384 6.95037i 0.484647 0.279811i −0.237704 0.971338i \(-0.576395\pi\)
0.722351 + 0.691526i \(0.243061\pi\)
\(618\) −3.19084 + 25.4659i −0.128355 + 1.02439i
\(619\) −19.7752 11.4172i −0.794833 0.458897i 0.0468282 0.998903i \(-0.485089\pi\)
−0.841661 + 0.540006i \(0.818422\pi\)
\(620\) 5.12512i 0.205830i
\(621\) −12.0200 4.71680i −0.482347 0.189279i
\(622\) 21.6238 + 12.4845i 0.867034 + 0.500582i
\(623\) 2.84411 + 1.05005i 0.113947 + 0.0420694i
\(624\) −5.46417 + 3.02371i −0.218742 + 0.121045i
\(625\) 11.4878 + 19.8975i 0.459512 + 0.795898i
\(626\) −13.3172 23.0661i −0.532262 0.921905i
\(627\) −2.95168 2.23573i −0.117879 0.0892865i
\(628\) −13.6246 7.86616i −0.543681 0.313894i
\(629\) 0.490010 0.0195380
\(630\) 7.33458 + 15.4105i 0.292217 + 0.613968i
\(631\) 19.2785 + 33.3914i 0.767467 + 1.32929i 0.938932 + 0.344101i \(0.111816\pi\)
−0.171466 + 0.985190i \(0.554850\pi\)
\(632\) −5.38345 + 3.10814i −0.214142 + 0.123635i
\(633\) 37.5754 15.8401i 1.49349 0.629589i
\(634\) −4.17764 7.23589i −0.165915 0.287374i
\(635\) 42.5617 1.68901
\(636\) −8.07057 19.1447i −0.320019 0.759139i
\(637\) −22.7665 + 10.8943i −0.902042 + 0.431648i
\(638\) 7.33225i 0.290287i
\(639\) 18.5620 + 18.1037i 0.734303 + 0.716170i
\(640\) 1.86215 1.07511i 0.0736080 0.0424976i
\(641\) 19.6991i 0.778068i −0.921223 0.389034i \(-0.872809\pi\)
0.921223 0.389034i \(-0.127191\pi\)
\(642\) −1.93441 1.46520i −0.0763450 0.0578270i
\(643\) 5.10073 2.94491i 0.201153 0.116136i −0.396040 0.918233i \(-0.629616\pi\)
0.597193 + 0.802097i \(0.296283\pi\)
\(644\) −2.27713 + 6.16772i −0.0897316 + 0.243042i
\(645\) 26.7102 11.2598i 1.05171 0.443356i
\(646\) 3.49711 6.05716i 0.137592 0.238316i
\(647\) 15.8953 + 27.5314i 0.624908 + 1.08237i 0.988559 + 0.150837i \(0.0481968\pi\)
−0.363651 + 0.931535i \(0.618470\pi\)
\(648\) 4.69344 + 7.67930i 0.184376 + 0.301671i
\(649\) 1.81926 1.05035i 0.0714120 0.0412297i
\(650\) −1.09690 + 0.799896i −0.0430241 + 0.0313745i
\(651\) 0.494320 + 10.9115i 0.0193739 + 0.427655i
\(652\) −11.9003 + 20.6120i −0.466052 + 0.807227i
\(653\) 18.6752i 0.730816i 0.930847 + 0.365408i \(0.119071\pi\)
−0.930847 + 0.365408i \(0.880929\pi\)
\(654\) 5.44656 + 12.9201i 0.212977 + 0.505218i
\(655\) −7.70713 + 13.3491i −0.301143 + 0.521594i
\(656\) 5.93979 10.2880i 0.231910 0.401680i
\(657\) 9.35197 36.7328i 0.364855 1.43308i
\(658\) 2.21863 0.380662i 0.0864912 0.0148398i
\(659\) −39.2891 + 22.6836i −1.53049 + 0.883626i −0.531146 + 0.847280i \(0.678238\pi\)
−0.999339 + 0.0363457i \(0.988428\pi\)
\(660\) 1.20429 + 2.85677i 0.0468769 + 0.111200i
\(661\) 7.16442 4.13638i 0.278664 0.160887i −0.354155 0.935187i \(-0.615231\pi\)
0.632818 + 0.774300i \(0.281898\pi\)
\(662\) −13.7950 7.96452i −0.536156 0.309550i
\(663\) 14.8813 8.23485i 0.577941 0.319815i
\(664\) 0.930821i 0.0361229i
\(665\) 5.06024 13.7059i 0.196228 0.531492i
\(666\) 0.519592 0.146210i 0.0201338 0.00566551i
\(667\) −10.9441 + 18.9558i −0.423758 + 0.733971i
\(668\) 1.67287 2.89750i 0.0647254 0.112108i
\(669\) −19.7538 46.8593i −0.763725 1.81168i
\(670\) −12.3168 7.11113i −0.475841 0.274727i
\(671\) −3.04260 −0.117458
\(672\) 3.86087 2.46855i 0.148936 0.0952262i
\(673\) 3.04087 5.26695i 0.117217 0.203026i −0.801447 0.598066i \(-0.795936\pi\)
0.918664 + 0.395040i \(0.129269\pi\)
\(674\) 1.38803i 0.0534649i
\(675\) 1.21993 + 1.52958i 0.0469551 + 0.0588736i
\(676\) 8.73259 + 9.63026i 0.335869 + 0.370394i
\(677\) −4.15629 7.19891i −0.159739 0.276677i 0.775035 0.631918i \(-0.217732\pi\)
−0.934775 + 0.355241i \(0.884399\pi\)
\(678\) −0.783968 + 6.25678i −0.0301081 + 0.240290i
\(679\) 21.3459 3.66243i 0.819180 0.140551i
\(680\) −5.07144 + 2.92799i −0.194481 + 0.112283i
\(681\) −39.1924 29.6861i −1.50186 1.13757i
\(682\) 1.98413i 0.0759761i
\(683\) 28.4552i 1.08881i −0.838823 0.544404i \(-0.816756\pi\)
0.838823 0.544404i \(-0.183244\pi\)
\(684\) 1.90088 7.46631i 0.0726821 0.285482i
\(685\) −11.6455 + 6.72352i −0.444951 + 0.256893i
\(686\) 16.1656 9.03734i 0.617205 0.345047i
\(687\) −25.0286 3.13606i −0.954902 0.119648i
\(688\) −3.89154 6.74035i −0.148364 0.256973i
\(689\) −34.9447 + 25.4828i −1.33129 + 0.970816i
\(690\) 1.15062 9.18303i 0.0438035 0.349592i
\(691\) 15.1598i 0.576706i −0.957524 0.288353i \(-0.906892\pi\)
0.957524 0.288353i \(-0.0931076\pi\)
\(692\) 9.84211 17.0470i 0.374141 0.648031i
\(693\) 2.83950 + 5.96598i 0.107863 + 0.226629i
\(694\) 0.408244 0.0154967
\(695\) 3.87959 + 2.23988i 0.147161 + 0.0849635i
\(696\) 14.0582 5.92630i 0.532874 0.224636i
\(697\) −16.1766 + 28.0187i −0.612733 + 1.06128i
\(698\) 0.900521 1.55975i 0.0340852 0.0590374i
\(699\) 25.4250 + 3.18572i 0.961661 + 0.120495i
\(700\) 0.766074 0.636815i 0.0289549 0.0240693i
\(701\) 26.0859i 0.985251i −0.870241 0.492625i \(-0.836037\pi\)
0.870241 0.492625i \(-0.163963\pi\)
\(702\) 13.3226 13.1723i 0.502828 0.497156i
\(703\) −0.400167 0.231037i −0.0150926 0.00871372i
\(704\) 0.720909 0.416217i 0.0271703 0.0156868i
\(705\) −2.91986 + 1.23088i −0.109968 + 0.0463577i
\(706\) 20.7468 11.9782i 0.780816 0.450805i
\(707\) −5.98079 34.8581i −0.224931 1.31097i
\(708\) 3.48425 + 2.63913i 0.130946 + 0.0991844i
\(709\) 9.56340 16.5643i 0.359161 0.622085i −0.628660 0.777680i \(-0.716396\pi\)
0.987821 + 0.155595i \(0.0497296\pi\)
\(710\) −9.29205 + 16.0943i −0.348725 + 0.604009i
\(711\) 13.0208 13.3505i 0.488320 0.500684i
\(712\) 1.14590i 0.0429443i
\(713\) 2.96151 5.12949i 0.110909 0.192101i
\(714\) −10.5148 + 6.72291i −0.393506 + 0.251599i
\(715\) 5.21445 3.80253i 0.195009 0.142207i
\(716\) −1.15524 + 0.666976i −0.0431732 + 0.0249261i
\(717\) 20.9433 27.6499i 0.782140 1.03261i
\(718\) 4.12438 + 7.14363i 0.153920 + 0.266598i
\(719\) −10.9458 + 18.9586i −0.408208 + 0.707037i −0.994689 0.102926i \(-0.967180\pi\)
0.586481 + 0.809963i \(0.300513\pi\)
\(720\) −4.50394 + 4.61798i −0.167852 + 0.172102i
\(721\) −38.6393 + 6.62956i −1.43900 + 0.246898i
\(722\) 10.7426 6.20227i 0.399800 0.230825i
\(723\) 10.8796 14.3636i 0.404616 0.534187i
\(724\) 1.13213i 0.0420752i
\(725\) 2.87219 1.65826i 0.106670 0.0615862i
\(726\) −6.93475 16.4504i −0.257373 0.610531i
\(727\) 33.9953i 1.26082i 0.776264 + 0.630408i \(0.217112\pi\)
−0.776264 + 0.630408i \(0.782888\pi\)
\(728\) −6.84312 6.64618i −0.253623 0.246324i
\(729\) −19.7943 18.3626i −0.733122 0.680097i
\(730\) 27.1678 1.00553
\(731\) 10.5983 + 18.3569i 0.391994 + 0.678953i
\(732\) −2.45918 5.83360i −0.0908941 0.215616i
\(733\) −21.2418 + 12.2639i −0.784582 + 0.452979i −0.838052 0.545591i \(-0.816305\pi\)
0.0534695 + 0.998569i \(0.482972\pi\)
\(734\) 5.83498 + 10.1065i 0.215373 + 0.373037i
\(735\) −19.2732 + 17.5555i −0.710902 + 0.647544i
\(736\) −2.48498 −0.0915978
\(737\) −4.76832 2.75299i −0.175643 0.101408i
\(738\) −8.79295 + 34.5370i −0.323673 + 1.27133i
\(739\) −12.5361 21.7131i −0.461146 0.798729i 0.537872 0.843026i \(-0.319228\pi\)
−0.999018 + 0.0442977i \(0.985895\pi\)
\(740\) 0.193438 + 0.335045i 0.00711094 + 0.0123165i
\(741\) −16.0355 0.291437i −0.589080 0.0107062i
\(742\) 24.4053 20.2874i 0.895946 0.744774i
\(743\) 0.168411 + 0.0972319i 0.00617839 + 0.00356709i 0.503086 0.864236i \(-0.332198\pi\)
−0.496908 + 0.867803i \(0.665531\pi\)
\(744\) −3.80418 + 1.60367i −0.139468 + 0.0587935i
\(745\) 26.3142i 0.964077i
\(746\) 27.6209 + 15.9469i 1.01127 + 0.583859i
\(747\) −0.756404 2.68807i −0.0276754 0.0983512i
\(748\) −1.96335 + 1.13354i −0.0717870 + 0.0414463i
\(749\) 1.28385 3.47738i 0.0469110 0.127061i
\(750\) −12.0902 + 15.9618i −0.441471 + 0.582844i
\(751\) −21.5291 −0.785607 −0.392803 0.919622i \(-0.628495\pi\)
−0.392803 + 0.919622i \(0.628495\pi\)
\(752\) 0.425408 + 0.736829i 0.0155130 + 0.0268694i
\(753\) −0.479843 + 3.82959i −0.0174865 + 0.139558i
\(754\) −18.7122 25.6603i −0.681460 0.934492i
\(755\) 2.16725 0.0788743
\(756\) −9.14359 + 10.2662i −0.332549 + 0.373378i
\(757\) −24.5972 + 42.6036i −0.894000 + 1.54845i −0.0589622 + 0.998260i \(0.518779\pi\)
−0.835038 + 0.550193i \(0.814554\pi\)
\(758\) −17.2043 9.93293i −0.624890 0.360780i
\(759\) 0.445450 3.55510i 0.0161688 0.129042i
\(760\) 5.52213 0.200309
\(761\) 0.148132 0.256572i 0.00536978 0.00930072i −0.863328 0.504643i \(-0.831624\pi\)
0.868698 + 0.495342i \(0.164957\pi\)
\(762\) 13.3178 + 31.5919i 0.482451 + 1.14445i
\(763\) −16.4703 + 13.6913i −0.596265 + 0.495658i
\(764\) 18.3935 + 10.6195i 0.665455 + 0.384201i
\(765\) 12.2662 12.5767i 0.443484 0.454713i
\(766\) 0.635039 + 0.366640i 0.0229449 + 0.0132472i
\(767\) 3.68621 8.31867i 0.133101 0.300370i
\(768\) 1.38069 + 1.04580i 0.0498214 + 0.0377369i
\(769\) 27.7574 + 16.0257i 1.00096 + 0.577902i 0.908531 0.417817i \(-0.137205\pi\)
0.0924253 + 0.995720i \(0.470538\pi\)
\(770\) −3.64175 + 3.02728i −0.131240 + 0.109096i
\(771\) −8.56864 6.49026i −0.308592 0.233741i
\(772\) 1.56454 + 2.70986i 0.0563089 + 0.0975299i
\(773\) 25.4967 0.917052 0.458526 0.888681i \(-0.348378\pi\)
0.458526 + 0.888681i \(0.348378\pi\)
\(774\) 16.7155 + 16.3027i 0.600827 +