Properties

Label 546.2.u.a.425.2
Level $546$
Weight $2$
Character 546.425
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (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 425.2
Character \(\chi\) \(=\) 546.425
Dual form 546.2.u.a.185.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(-1.59603 - 0.672816i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.07511 - 1.86215i) q^{5} +(1.71861 - 0.215340i) q^{6} +(0.447408 - 2.60765i) q^{7} +1.00000i q^{8} +(2.09464 + 2.14767i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(-1.59603 - 0.672816i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.07511 - 1.86215i) q^{5} +(1.71861 - 0.215340i) q^{6} +(0.447408 - 2.60765i) q^{7} +1.00000i q^{8} +(2.09464 + 2.14767i) q^{9} +2.15023i q^{10} +0.832434i q^{11} +(-1.38069 + 1.04580i) q^{12} +(1.46072 - 3.29641i) q^{13} +(0.916357 + 2.48199i) q^{14} +(-2.96880 + 2.24870i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.36171 - 2.35856i) q^{17} +(-2.88784 - 0.812620i) q^{18} +2.56816i q^{19} +(-1.07511 - 1.86215i) q^{20} +(-2.46855 + 3.86087i) q^{21} +(-0.416217 - 0.720909i) q^{22} +(-2.15206 + 1.24249i) q^{23} +(0.672816 - 1.59603i) q^{24} +(0.188263 + 0.326081i) q^{25} +(0.383182 + 3.58513i) q^{26} +(-1.89812 - 4.83706i) q^{27} +(-2.03458 - 1.69129i) q^{28} +(-7.62813 - 4.40410i) q^{29} +(1.44671 - 3.43183i) q^{30} +(-2.06419 + 1.19176i) q^{31} +(0.866025 + 0.500000i) q^{32} +(0.560075 - 1.32859i) q^{33} +2.72343i q^{34} +(-4.37482 - 3.63666i) q^{35} +(2.90726 - 0.740172i) q^{36} +(0.0899619 + 0.155819i) q^{37} +(-1.28408 - 2.22409i) q^{38} +(-4.54923 + 4.27837i) q^{39} +(1.86215 + 1.07511i) q^{40} +(5.93979 - 10.2880i) q^{41} +(0.207390 - 4.57788i) q^{42} +(-3.89154 - 6.74035i) q^{43} +(0.720909 + 0.416217i) q^{44} +(6.25126 - 1.59154i) q^{45} +(1.24249 - 2.15206i) q^{46} +(0.425408 - 0.736829i) q^{47} +(0.215340 + 1.71861i) q^{48} +(-6.59965 - 2.33337i) q^{49} +(-0.326081 - 0.188263i) q^{50} +(-3.76022 + 2.84815i) q^{51} +(-2.12441 - 2.91322i) q^{52} +(10.3882 - 5.99761i) q^{53} +(4.06235 + 3.23996i) q^{54} +(1.55012 + 0.894961i) q^{55} +(2.60765 + 0.447408i) q^{56} +(1.72790 - 4.09887i) q^{57} +8.80820 q^{58} +(1.26178 - 2.18546i) q^{59} +(0.463030 + 3.69541i) q^{60} +3.65506i q^{61} +(1.19176 - 2.06419i) q^{62} +(6.53753 - 4.50119i) q^{63} -1.00000 q^{64} +(-4.56797 - 6.26409i) q^{65} +(0.179257 + 1.43063i) q^{66} -6.61431 q^{67} +(-1.36171 - 2.35856i) q^{68} +(4.27073 - 0.535117i) q^{69} +(5.60703 + 0.962029i) q^{70} +(-7.48494 + 4.32143i) q^{71} +(-2.14767 + 2.09464i) q^{72} +(-10.9421 + 6.31743i) q^{73} +(-0.155819 - 0.0899619i) q^{74} +(-0.0810812 - 0.647102i) q^{75} +(2.22409 + 1.28408i) q^{76} +(2.17070 + 0.372438i) q^{77} +(1.80056 - 5.97980i) q^{78} +(-3.10814 + 5.38345i) q^{79} -2.15023 q^{80} +(-0.224993 + 8.99719i) q^{81} +11.8796i q^{82} -0.930821 q^{83} +(2.10933 + 4.06826i) q^{84} +(-2.92799 - 5.07144i) q^{85} +(6.74035 + 3.89154i) q^{86} +(9.21158 + 12.1614i) q^{87} -0.832434 q^{88} +(0.572948 + 0.992375i) q^{89} +(-4.61798 + 4.50394i) q^{90} +(-7.94233 - 5.28388i) q^{91} +2.48498i q^{92} +(4.09635 - 0.513268i) q^{93} +0.850817i q^{94} +(4.78231 + 2.76107i) q^{95} +(-1.04580 - 1.38069i) q^{96} +(7.08918 - 4.09294i) q^{97} +(6.88215 - 1.27907i) q^{98} +(-1.78780 + 1.74365i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) −1.59603 0.672816i −0.921470 0.388451i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) 1.07511 1.86215i 0.480805 0.832779i −0.518952 0.854803i \(-0.673678\pi\)
0.999757 + 0.0220241i \(0.00701107\pi\)
\(6\) 1.71861 0.215340i 0.701621 0.0879122i
\(7\) 0.447408 2.60765i 0.169104 0.985598i
\(8\) 1.00000i 0.353553i
\(9\) 2.09464 + 2.14767i 0.698212 + 0.715891i
\(10\) 2.15023i 0.679961i
\(11\) 0.832434i 0.250988i 0.992094 + 0.125494i \(0.0400516\pi\)
−0.992094 + 0.125494i \(0.959948\pi\)
\(12\) −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
\(15\) −2.96880 + 2.24870i −0.766541 + 0.580612i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.36171 2.35856i 0.330264 0.572035i −0.652299 0.757962i \(-0.726195\pi\)
0.982564 + 0.185927i \(0.0595288\pi\)
\(18\) −2.88784 0.812620i −0.680672 0.191536i
\(19\) 2.56816i 0.589177i 0.955624 + 0.294589i \(0.0951826\pi\)
−0.955624 + 0.294589i \(0.904817\pi\)
\(20\) −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
\(23\) −2.15206 + 1.24249i −0.448736 + 0.259078i −0.707296 0.706917i \(-0.750085\pi\)
0.258560 + 0.965995i \(0.416752\pi\)
\(24\) 0.672816 1.59603i 0.137338 0.325789i
\(25\) 0.188263 + 0.326081i 0.0376526 + 0.0652162i
\(26\) 0.383182 + 3.58513i 0.0751482 + 0.703102i
\(27\) −1.89812 4.83706i −0.365293 0.930893i
\(28\) −2.03458 1.69129i −0.384500 0.319624i
\(29\) −7.62813 4.40410i −1.41651 0.817821i −0.420517 0.907285i \(-0.638151\pi\)
−0.995990 + 0.0894637i \(0.971485\pi\)
\(30\) 1.44671 3.43183i 0.264131 0.626564i
\(31\) −2.06419 + 1.19176i −0.370740 + 0.214047i −0.673782 0.738931i \(-0.735331\pi\)
0.303042 + 0.952977i \(0.401998\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) 0.560075 1.32859i 0.0974966 0.231278i
\(34\) 2.72343i 0.467064i
\(35\) −4.37482 3.63666i −0.739479 0.614707i
\(36\) 2.90726 0.740172i 0.484543 0.123362i
\(37\) 0.0899619 + 0.155819i 0.0147896 + 0.0256164i 0.873326 0.487137i \(-0.161959\pi\)
−0.858536 + 0.512754i \(0.828625\pi\)
\(38\) −1.28408 2.22409i −0.208306 0.360796i
\(39\) −4.54923 + 4.27837i −0.728460 + 0.685088i
\(40\) 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 \(-0.211499\pi\)
\(42\) 0.207390 4.57788i 0.0320010 0.706382i
\(43\) −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
\(45\) 6.25126 1.59154i 0.931883 0.237253i
\(46\) 1.24249 2.15206i 0.183196 0.317304i
\(47\) 0.425408 0.736829i 0.0620522 0.107478i −0.833330 0.552775i \(-0.813569\pi\)
0.895383 + 0.445298i \(0.146902\pi\)
\(48\) 0.215340 + 1.71861i 0.0310817 + 0.248060i
\(49\) −6.59965 2.33337i −0.942807 0.333338i
\(50\) −0.326081 0.188263i −0.0461148 0.0266244i
\(51\) −3.76022 + 2.84815i −0.526536 + 0.398821i
\(52\) −2.12441 2.91322i −0.294603 0.403992i
\(53\) 10.3882 5.99761i 1.42692 0.823835i 0.430047 0.902807i \(-0.358497\pi\)
0.996877 + 0.0789721i \(0.0251638\pi\)
\(54\) 4.06235 + 3.23996i 0.552816 + 0.440902i
\(55\) 1.55012 + 0.894961i 0.209018 + 0.120677i
\(56\) 2.60765 + 0.447408i 0.348462 + 0.0597875i
\(57\) 1.72790 4.09887i 0.228866 0.542909i
\(58\) 8.80820 1.15657
\(59\) 1.26178 2.18546i 0.164270 0.284523i −0.772126 0.635469i \(-0.780807\pi\)
0.936396 + 0.350946i \(0.114140\pi\)
\(60\) 0.463030 + 3.69541i 0.0597769 + 0.477075i
\(61\) 3.65506i 0.467983i 0.972239 + 0.233991i \(0.0751788\pi\)
−0.972239 + 0.233991i \(0.924821\pi\)
\(62\) 1.19176 2.06419i 0.151354 0.262153i
\(63\) 6.53753 4.50119i 0.823651 0.567096i
\(64\) −1.00000 −0.125000
\(65\) −4.56797 6.26409i −0.566586 0.776965i
\(66\) 0.179257 + 1.43063i 0.0220650 + 0.176099i
\(67\) −6.61431 −0.808067 −0.404033 0.914744i \(-0.632392\pi\)
−0.404033 + 0.914744i \(0.632392\pi\)
\(68\) −1.36171 2.35856i −0.165132 0.286017i
\(69\) 4.27073 0.535117i 0.514135 0.0644205i
\(70\) 5.60703 + 0.962029i 0.670169 + 0.114985i
\(71\) −7.48494 + 4.32143i −0.888299 + 0.512859i −0.873386 0.487029i \(-0.838080\pi\)
−0.0149130 + 0.999889i \(0.504747\pi\)
\(72\) −2.14767 + 2.09464i −0.253106 + 0.246855i
\(73\) −10.9421 + 6.31743i −1.28068 + 0.739399i −0.976972 0.213367i \(-0.931557\pi\)
−0.303704 + 0.952766i \(0.598224\pi\)
\(74\) −0.155819 0.0899619i −0.0181135 0.0104579i
\(75\) −0.0810812 0.647102i −0.00936245 0.0747209i
\(76\) 2.22409 + 1.28408i 0.255121 + 0.147294i
\(77\) 2.17070 + 0.372438i 0.247374 + 0.0424433i
\(78\) 1.80056 5.97980i 0.203874 0.677079i
\(79\) −3.10814 + 5.38345i −0.349693 + 0.605686i −0.986195 0.165589i \(-0.947047\pi\)
0.636502 + 0.771275i \(0.280381\pi\)
\(80\) −2.15023 −0.240403
\(81\) −0.224993 + 8.99719i −0.0249993 + 0.999687i
\(82\) 11.8796i 1.31188i
\(83\) −0.930821 −0.102171 −0.0510854 0.998694i \(-0.516268\pi\)
−0.0510854 + 0.998694i \(0.516268\pi\)
\(84\) 2.10933 + 4.06826i 0.230147 + 0.443883i
\(85\) −2.92799 5.07144i −0.317586 0.550074i
\(86\) 6.74035 + 3.89154i 0.726830 + 0.419636i
\(87\) 9.21158 + 12.1614i 0.987585 + 1.30384i
\(88\) −0.832434 −0.0887378
\(89\) 0.572948 + 0.992375i 0.0607324 + 0.105192i 0.894793 0.446481i \(-0.147323\pi\)
−0.834061 + 0.551673i \(0.813990\pi\)
\(90\) −4.61798 + 4.50394i −0.486778 + 0.474757i
\(91\) −7.94233 5.28388i −0.832582 0.553902i
\(92\) 2.48498i 0.259078i
\(93\) 4.09635 0.513268i 0.424772 0.0532234i
\(94\) 0.850817i 0.0877550i
\(95\) 4.78231 + 2.76107i 0.490654 + 0.283279i
\(96\) −1.04580 1.38069i −0.106736 0.140916i
\(97\) 7.08918 4.09294i 0.719797 0.415575i −0.0948811 0.995489i \(-0.530247\pi\)
0.814678 + 0.579914i \(0.196914\pi\)
\(98\) 6.88215 1.27907i 0.695202 0.129206i
\(99\) −1.78780 + 1.74365i −0.179680 + 0.175243i
\(100\) 0.376526 0.0376526
\(101\) −13.3676 −1.33013 −0.665064 0.746786i \(-0.731596\pi\)
−0.665064 + 0.746786i \(0.731596\pi\)
\(102\) 1.83237 4.34668i 0.181431 0.430385i
\(103\) 12.8325 + 7.40885i 1.26442 + 0.730015i 0.973927 0.226861i \(-0.0728462\pi\)
0.290497 + 0.956876i \(0.406180\pi\)
\(104\) 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
\(107\) −1.21334 + 0.700521i −0.117298 + 0.0677219i −0.557501 0.830176i \(-0.688240\pi\)
0.440203 + 0.897898i \(0.354906\pi\)
\(108\) −5.13808 0.774711i −0.494412 0.0745466i
\(109\) 4.04758 + 7.01062i 0.387688 + 0.671496i 0.992138 0.125147i \(-0.0399404\pi\)
−0.604450 + 0.796643i \(0.706607\pi\)
\(110\) −1.78992 −0.170662
\(111\) −0.0387448 0.309219i −0.00367749 0.0293498i
\(112\) −2.48199 + 0.916357i −0.234526 + 0.0865876i
\(113\) −3.15285 + 1.82030i −0.296595 + 0.171239i −0.640912 0.767614i \(-0.721444\pi\)
0.344317 + 0.938853i \(0.388111\pi\)
\(114\) 0.553029 + 4.41368i 0.0517959 + 0.413379i
\(115\) 5.34328i 0.498263i
\(116\) −7.62813 + 4.40410i −0.708254 + 0.408910i
\(117\) 10.1393 3.76763i 0.937377 0.348317i
\(118\) 2.52356i 0.232312i
\(119\) −5.54105 4.60611i −0.507947 0.422241i
\(120\) −2.24870 2.96880i −0.205277 0.271013i
\(121\) 10.3071 0.937005
\(122\) −1.82753 3.16538i −0.165457 0.286580i
\(123\) −16.4021 + 12.4236i −1.47892 + 1.12020i
\(124\) 2.38352i 0.214047i
\(125\) 11.5607 1.03402
\(126\) −3.41107 + 7.16691i −0.303883 + 0.638479i
\(127\) 9.89702 17.1421i 0.878219 1.52112i 0.0249248 0.999689i \(-0.492065\pi\)
0.853294 0.521430i \(-0.174601\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) 1.67601 + 13.3761i 0.147564 + 1.17770i
\(130\) 7.08802 + 3.14088i 0.621661 + 0.275473i
\(131\) 3.58433 6.20825i 0.313165 0.542417i −0.665881 0.746058i \(-0.731944\pi\)
0.979046 + 0.203641i \(0.0652774\pi\)
\(132\) −0.870557 1.14934i −0.0757722 0.100037i
\(133\) 6.69687 + 1.14902i 0.580692 + 0.0996325i
\(134\) 5.72816 3.30716i 0.494838 0.285695i
\(135\) −11.0480 1.66580i −0.950863 0.143370i
\(136\) 2.35856 + 1.36171i 0.202245 + 0.116766i
\(137\) 5.41593 + 3.12689i 0.462714 + 0.267148i 0.713185 0.700976i \(-0.247252\pi\)
−0.250471 + 0.968124i \(0.580585\pi\)
\(138\) −3.43100 + 2.59879i −0.292066 + 0.221224i
\(139\) −1.80427 + 1.04170i −0.153036 + 0.0883555i −0.574563 0.818461i \(-0.694828\pi\)
0.421526 + 0.906816i \(0.361494\pi\)
\(140\) −5.33685 + 1.97037i −0.451046 + 0.166527i
\(141\) −1.17472 + 0.889781i −0.0989289 + 0.0749331i
\(142\) 4.32143 7.48494i 0.362646 0.628122i
\(143\) 2.74404 + 1.21595i 0.229468 + 0.101683i
\(144\) 0.812620 2.88784i 0.0677184 0.240654i
\(145\) −16.4022 + 9.46981i −1.36213 + 0.786425i
\(146\) 6.31743 10.9421i 0.522834 0.905575i
\(147\) 8.96333 + 8.16448i 0.739283 + 0.673395i
\(148\) 0.179924 0.0147896
\(149\) 12.2379i 1.00256i 0.865284 + 0.501282i \(0.167138\pi\)
−0.865284 + 0.501282i \(0.832862\pi\)
\(150\) 0.393770 + 0.519866i 0.0321511 + 0.0424469i
\(151\) 0.503958 + 0.872882i 0.0410116 + 0.0710341i 0.885803 0.464062i \(-0.153609\pi\)
−0.844791 + 0.535096i \(0.820275\pi\)
\(152\) −2.56816 −0.208306
\(153\) 7.91771 2.01581i 0.640109 0.162968i
\(154\) −2.06610 + 0.762807i −0.166491 + 0.0614687i
\(155\) 5.12512i 0.411659i
\(156\) 1.43056 + 6.07894i 0.114537 + 0.486705i
\(157\) 13.6246 7.86616i 1.08736 0.627788i 0.154489 0.987995i \(-0.450627\pi\)
0.932873 + 0.360206i \(0.117294\pi\)
\(158\) 6.21627i 0.494540i
\(159\) −20.6151 + 2.58305i −1.63489 + 0.204849i
\(160\) 1.86215 1.07511i 0.147216 0.0849952i
\(161\) 2.27713 + 6.16772i 0.179463 + 0.486084i
\(162\) −4.30374 7.90429i −0.338134 0.621020i
\(163\) −23.8006 −1.86421 −0.932105 0.362188i \(-0.882030\pi\)
−0.932105 + 0.362188i \(0.882030\pi\)
\(164\) −5.93979 10.2880i −0.463820 0.803360i
\(165\) −1.87189 2.47133i −0.145727 0.192393i
\(166\) 0.806115 0.465411i 0.0625666 0.0361229i
\(167\) −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
\(171\) −5.51557 + 5.37937i −0.421786 + 0.411371i
\(172\) −7.78308 −0.593454
\(173\) 19.6842 1.49656 0.748282 0.663381i \(-0.230879\pi\)
0.748282 + 0.663381i \(0.230879\pi\)
\(174\) −14.0582 5.92630i −1.06575 0.449272i
\(175\) 0.934535 0.345032i 0.0706442 0.0260820i
\(176\) 0.720909 0.416217i 0.0543406 0.0313736i
\(177\) −3.48425 + 2.63913i −0.261893 + 0.198369i
\(178\) −0.992375 0.572948i −0.0743817 0.0429443i
\(179\) 1.33395i 0.0997042i −0.998757 0.0498521i \(-0.984125\pi\)
0.998757 0.0498521i \(-0.0158750\pi\)
\(180\) 1.74732 6.20952i 0.130237 0.462830i
\(181\) 1.13213i 0.0841503i −0.999114 0.0420752i \(-0.986603\pi\)
0.999114 0.0420752i \(-0.0133969\pi\)
\(182\) 9.52020 + 0.604814i 0.705684 + 0.0448318i
\(183\) 2.45918 5.83360i 0.181788 0.431232i
\(184\) −1.24249 2.15206i −0.0915978 0.158652i
\(185\) 0.386877 0.0284437
\(186\) −3.29091 + 2.49268i −0.241301 + 0.182772i
\(187\) 1.96335 + 1.13354i 0.143574 + 0.0828925i
\(188\) −0.425408 0.736829i −0.0310261 0.0537388i
\(189\) −13.4626 + 2.78548i −0.979259 + 0.202614i
\(190\) −5.52213 −0.400618
\(191\) 21.2390i 1.53680i −0.639968 0.768402i \(-0.721052\pi\)
0.639968 0.768402i \(-0.278948\pi\)
\(192\) 1.59603 + 0.672816i 0.115184 + 0.0485563i
\(193\) 3.12907 0.225236 0.112618 0.993638i \(-0.464076\pi\)
0.112618 + 0.993638i \(0.464076\pi\)
\(194\) −4.09294 + 7.08918i −0.293856 + 0.508973i
\(195\) 3.07604 + 13.0711i 0.220280 + 0.936040i
\(196\) −5.32058 + 4.54878i −0.380041 + 0.324913i
\(197\) 10.6747 + 6.16302i 0.760538 + 0.439097i 0.829489 0.558523i \(-0.188632\pi\)
−0.0689508 + 0.997620i \(0.521965\pi\)
\(198\) 0.676453 2.40394i 0.0480734 0.170841i
\(199\) 23.7399 + 13.7062i 1.68288 + 0.971610i 0.959733 + 0.280915i \(0.0906378\pi\)
0.723146 + 0.690696i \(0.242696\pi\)
\(200\) −0.326081 + 0.188263i −0.0230574 + 0.0133122i
\(201\) 10.5567 + 4.45022i 0.744609 + 0.313894i
\(202\) 11.5767 6.68381i 0.814534 0.470271i
\(203\) −14.8972 + 17.9210i −1.04558 + 1.25781i
\(204\) 0.586464 + 4.68052i 0.0410607 + 0.327702i
\(205\) −12.7719 22.1216i −0.892028 1.54504i
\(206\) −14.8177 −1.03240
\(207\) −7.17625 2.01935i −0.498784 0.140354i
\(208\) −3.58513 + 0.383182i −0.248584 + 0.0265689i
\(209\) −2.13783 −0.147877
\(210\) −8.30174 5.30793i −0.572874 0.366282i
\(211\) 11.7715 20.3889i 0.810384 1.40363i −0.102211 0.994763i \(-0.532592\pi\)
0.912595 0.408864i \(-0.134075\pi\)
\(212\) 11.9952i 0.823835i
\(213\) 14.8537 1.86115i 1.01776 0.127524i
\(214\) 0.700521 1.21334i 0.0478866 0.0829421i
\(215\) −16.7354 −1.14134
\(216\) 4.83706 1.89812i 0.329120 0.129151i
\(217\) 2.18416 + 5.91589i 0.148270 + 0.401597i
\(218\) −7.01062 4.04758i −0.474819 0.274137i
\(219\) 21.7144 2.72079i 1.46732 0.183854i
\(220\) 1.55012 0.894961i 0.104509 0.0603383i
\(221\) −5.78568 7.93396i −0.389187 0.533696i
\(222\) 0.188164 + 0.248419i 0.0126287 + 0.0166728i
\(223\) 25.4264 + 14.6799i 1.70268 + 0.983041i 0.943032 + 0.332702i \(0.107960\pi\)
0.759644 + 0.650339i \(0.225373\pi\)
\(224\) 1.69129 2.03458i 0.113004 0.135941i
\(225\) −0.305973 + 1.08735i −0.0203982 + 0.0724899i
\(226\) 1.82030 3.15285i 0.121085 0.209725i
\(227\) 14.1930 24.5831i 0.942025 1.63164i 0.180425 0.983589i \(-0.442253\pi\)
0.761600 0.648047i \(-0.224414\pi\)
\(228\) −2.68578 3.54584i −0.177870 0.234829i
\(229\) −12.6122 7.28164i −0.833435 0.481184i 0.0215921 0.999767i \(-0.493126\pi\)
−0.855027 + 0.518583i \(0.826460\pi\)
\(230\) −2.67164 4.62742i −0.176163 0.305123i
\(231\) −3.21392 2.05490i −0.211460 0.135203i
\(232\) 4.40410 7.62813i 0.289143 0.500811i
\(233\) 12.8119 + 7.39695i 0.839335 + 0.484590i 0.857038 0.515253i \(-0.172302\pi\)
−0.0177033 + 0.999843i \(0.505635\pi\)
\(234\) −6.89706 + 8.33250i −0.450875 + 0.544713i
\(235\) −0.914724 1.58435i −0.0596700 0.103352i
\(236\) −1.26178 2.18546i −0.0821348 0.142262i
\(237\) 8.58276 6.50096i 0.557510 0.422282i
\(238\) 7.10174 + 1.21849i 0.460338 + 0.0789827i
\(239\) 20.0261i 1.29538i 0.761903 + 0.647692i \(0.224265\pi\)
−0.761903 + 0.647692i \(0.775735\pi\)
\(240\) 3.43183 + 1.44671i 0.221524 + 0.0933845i
\(241\) −9.00940 5.20158i −0.580347 0.335063i 0.180924 0.983497i \(-0.442091\pi\)
−0.761271 + 0.648434i \(0.775424\pi\)
\(242\) −8.92617 + 5.15353i −0.573796 + 0.331281i
\(243\) 6.41255 14.2084i 0.411365 0.911471i
\(244\) 3.16538 + 1.82753i 0.202642 + 0.116996i
\(245\) −11.4405 + 9.78091i −0.730904 + 0.624880i
\(246\) 7.99278 18.9602i 0.509601 1.20886i
\(247\) 8.46571 + 3.75137i 0.538660 + 0.238694i
\(248\) −1.19176 2.06419i −0.0756769 0.131076i
\(249\) 1.48562 + 0.626271i 0.0941474 + 0.0396883i
\(250\) −10.0119 + 5.78037i −0.633208 + 0.365583i
\(251\) 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
\(254\) 19.7940i 1.24199i
\(255\) 1.26103 + 10.0642i 0.0789687 + 0.630243i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 3.10302 + 5.37459i 0.193561 + 0.335258i 0.946428 0.322915i \(-0.104663\pi\)
−0.752867 + 0.658173i \(0.771329\pi\)
\(258\) −8.13952 10.7460i −0.506744 0.669019i
\(259\) 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
\(262\) 7.16867i 0.442882i
\(263\) 24.4905i 1.51015i 0.655638 + 0.755075i \(0.272400\pi\)
−0.655638 + 0.755075i \(0.727600\pi\)
\(264\) 1.32859 + 0.560075i 0.0817692 + 0.0344703i
\(265\) 25.7924i 1.58442i
\(266\) −6.37416 + 2.35335i −0.390825 + 0.144293i
\(267\) −0.246758 1.96935i −0.0151013 0.120522i
\(268\) −3.30716 + 5.72816i −0.202017 + 0.349903i
\(269\) 2.50076 4.33145i 0.152474 0.264093i −0.779662 0.626200i \(-0.784609\pi\)
0.932136 + 0.362107i \(0.117943\pi\)
\(270\) 10.4008 4.08139i 0.632971 0.248385i
\(271\) −5.70946 + 3.29636i −0.346825 + 0.200240i −0.663286 0.748366i \(-0.730839\pi\)
0.316461 + 0.948606i \(0.397505\pi\)
\(272\) −2.72343 −0.165132
\(273\) 9.12113 + 13.7770i 0.552036 + 0.833820i
\(274\) −6.25378 −0.377805
\(275\) −0.271441 + 0.156717i −0.0163685 + 0.00945037i
\(276\) 1.67194 3.96612i 0.100639 0.238732i
\(277\) 8.49535 14.7144i 0.510436 0.884101i −0.489491 0.872009i \(-0.662817\pi\)
0.999927 0.0120929i \(-0.00384937\pi\)
\(278\) 1.04170 1.80427i 0.0624767 0.108213i
\(279\) −6.88325 1.93690i −0.412089 0.115959i
\(280\) 3.63666 4.37482i 0.217332 0.261445i
\(281\) 3.11696i 0.185942i 0.995669 + 0.0929712i \(0.0296364\pi\)
−0.995669 + 0.0929712i \(0.970364\pi\)
\(282\) 0.572443 1.35793i 0.0340885 0.0808636i
\(283\) 12.4144i 0.737958i −0.929438 0.368979i \(-0.879707\pi\)
0.929438 0.368979i \(-0.120293\pi\)
\(284\) 8.64286i 0.512859i
\(285\) −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
\(288\) 0.740172 + 2.90726i 0.0436151 + 0.171312i
\(289\) 4.79147 + 8.29906i 0.281851 + 0.488180i
\(290\) 9.46981 16.4022i 0.556087 0.963170i
\(291\) −14.0683 + 1.76275i −0.824701 + 0.103334i
\(292\) 12.6349i 0.739399i
\(293\) −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
\(296\) −0.155819 + 0.0899619i −0.00905677 + 0.00522893i
\(297\) 4.02653 1.58006i 0.233643 0.0916843i
\(298\) −6.11893 10.5983i −0.354460 0.613943i
\(299\) 0.952202 + 8.90900i 0.0550673 + 0.515221i
\(300\) −0.600948 0.253333i −0.0346957 0.0146262i
\(301\) −19.3176 + 7.13208i −1.11345 + 0.411086i
\(302\) −0.872882 0.503958i −0.0502287 0.0289995i
\(303\) 21.3352 + 8.99395i 1.22567 + 0.516689i
\(304\) 2.22409 1.28408i 0.127561 0.0736471i
\(305\) 6.80628 + 3.92961i 0.389726 + 0.225009i
\(306\) −5.84903 + 5.70459i −0.334367 + 0.326110i
\(307\) 16.2434i 0.927062i −0.886081 0.463531i \(-0.846582\pi\)
0.886081 0.463531i \(-0.153418\pi\)
\(308\) 1.40789 1.69366i 0.0802219 0.0965051i
\(309\) −15.4963 20.4587i −0.881553 1.16385i
\(310\) −2.56256 4.43848i −0.145543 0.252089i
\(311\) 12.4845 + 21.6238i 0.707930 + 1.22617i 0.965624 + 0.259944i \(0.0837042\pi\)
−0.257693 + 0.966227i \(0.582962\pi\)
\(312\) −4.27837 4.54923i −0.242215 0.257550i
\(313\) −23.0661 13.3172i −1.30377 0.752733i −0.322722 0.946494i \(-0.604598\pi\)
−0.981049 + 0.193761i \(0.937931\pi\)
\(314\) −7.86616 + 13.6246i −0.443913 + 0.768880i
\(315\) −1.35330 17.0132i −0.0762501 0.958583i
\(316\) 3.10814 + 5.38345i 0.174846 + 0.302843i
\(317\) −7.23589 4.17764i −0.406408 0.234640i 0.282837 0.959168i \(-0.408724\pi\)
−0.689245 + 0.724528i \(0.742058\pi\)
\(318\) 16.5617 12.5445i 0.928734 0.703463i
\(319\) 3.66612 6.34991i 0.205264 0.355527i
\(320\) −1.07511 + 1.86215i −0.0601007 + 0.104097i
\(321\) 2.40785 0.301701i 0.134393 0.0168393i
\(322\) −5.05591 4.20283i −0.281755 0.234215i
\(323\) 6.05716 + 3.49711i 0.337030 + 0.194584i
\(324\) 7.67930 + 4.69344i 0.426628 + 0.260747i
\(325\) 1.34990 0.144278i 0.0748787 0.00800311i
\(326\) 20.6120 11.9003i 1.14159 0.659098i
\(327\) −1.74321 13.9125i −0.0964000 0.769361i
\(328\) 10.2880 + 5.93979i 0.568061 + 0.327970i
\(329\) −1.73106 1.43898i −0.0954363 0.0793334i
\(330\) 2.85677 + 1.20429i 0.157260 + 0.0662939i
\(331\) 15.9290 0.875539 0.437770 0.899087i \(-0.355769\pi\)
0.437770 + 0.899087i \(0.355769\pi\)
\(332\) −0.465411 + 0.806115i −0.0255427 + 0.0442413i
\(333\) −0.146210 + 0.519592i −0.00801224 + 0.0284735i
\(334\) 3.34574i 0.183071i
\(335\) −7.11113 + 12.3168i −0.388523 + 0.672941i
\(336\) 4.57788 + 0.207390i 0.249744 + 0.0113141i
\(337\) −1.38803 −0.0756107 −0.0378054 0.999285i \(-0.512037\pi\)
−0.0378054 + 0.999285i \(0.512037\pi\)
\(338\) 12.3778 + 3.97375i 0.673262 + 0.216144i
\(339\) 6.25678 0.783968i 0.339822 0.0425793i
\(340\) −5.85599 −0.317586
\(341\) −0.992063 1.71830i −0.0537232 0.0930514i
\(342\) 2.08694 7.41646i 0.112849 0.401036i
\(343\) −9.03734 + 16.1656i −0.487970 + 0.872860i
\(344\) 6.74035 3.89154i 0.363415 0.209818i
\(345\) 3.59505 8.52805i 0.193551 0.459135i
\(346\) −17.0470 + 9.84211i −0.916454 + 0.529115i
\(347\) −0.353549 0.204122i −0.0189795 0.0109578i 0.490480 0.871452i \(-0.336821\pi\)
−0.509460 + 0.860494i \(0.670155\pi\)
\(348\) 15.1379 1.89676i 0.811476 0.101677i
\(349\) 1.55975 + 0.900521i 0.0834914 + 0.0482038i 0.541164 0.840917i \(-0.317984\pi\)
−0.457673 + 0.889121i \(0.651317\pi\)
\(350\) −0.636815 + 0.766074i −0.0340392 + 0.0409484i
\(351\) −18.7175 0.808620i −0.999068 0.0431609i
\(352\) −0.416217 + 0.720909i −0.0221845 + 0.0384246i
\(353\) 23.9563 1.27507 0.637534 0.770422i \(-0.279955\pi\)
0.637534 + 0.770422i \(0.279955\pi\)
\(354\) 1.69789 4.02768i 0.0902418 0.214069i
\(355\) 18.5841i 0.986342i
\(356\) 1.14590 0.0607324
\(357\) 5.74462 + 11.0796i 0.304038 + 0.586395i
\(358\) 0.666976 + 1.15524i 0.0352508 + 0.0610561i
\(359\) 7.14363 + 4.12438i 0.377026 + 0.217676i 0.676524 0.736421i \(-0.263486\pi\)
−0.299497 + 0.954097i \(0.596819\pi\)
\(360\) 1.59154 + 6.25126i 0.0838814 + 0.329470i
\(361\) 12.4045 0.652870
\(362\) 0.566063 + 0.980451i 0.0297516 + 0.0515313i
\(363\) −16.4504 6.93475i −0.863421 0.363980i
\(364\) −8.54714 + 4.23632i −0.447992 + 0.222043i
\(365\) 27.1678i 1.42203i
\(366\) 0.787082 + 6.28164i 0.0411414 + 0.328346i
\(367\) 11.6700i 0.609167i −0.952486 0.304583i \(-0.901483\pi\)
0.952486 0.304583i \(-0.0985172\pi\)
\(368\) 2.15206 + 1.24249i 0.112184 + 0.0647694i
\(369\) 34.5370 8.79295i 1.79793 0.457742i
\(370\) −0.335045 + 0.193438i −0.0174182 + 0.0100564i
\(371\) −10.9919 29.7720i −0.570671 1.54569i
\(372\) 1.60367 3.80418i 0.0831466 0.197238i
\(373\) −31.8939 −1.65140 −0.825701 0.564108i \(-0.809220\pi\)
−0.825701 + 0.564108i \(0.809220\pi\)
\(374\) −2.26708 −0.117228
\(375\) −18.4513 7.77826i −0.952822 0.401668i
\(376\) 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 \(0.996231\pi\)
\(380\) 4.78231 2.76107i 0.245327 0.141640i
\(381\) −27.3295 + 20.7005i −1.40013 + 1.06052i
\(382\) 10.6195 + 18.3935i 0.543342 + 0.941096i
\(383\) −0.733280 −0.0374689 −0.0187344 0.999824i \(-0.505964\pi\)
−0.0187344 + 0.999824i \(0.505964\pi\)
\(384\) −1.71861 + 0.215340i −0.0877026 + 0.0109890i
\(385\) 3.02728 3.64175i 0.154284 0.185601i
\(386\) −2.70986 + 1.56454i −0.137928 + 0.0796329i
\(387\) 6.32469 22.4763i 0.321502 1.14254i
\(388\) 8.18588i 0.415575i
\(389\) 28.6554 16.5442i 1.45289 0.838825i 0.454244 0.890878i \(-0.349910\pi\)
0.998644 + 0.0520523i \(0.0165763\pi\)
\(390\) −9.19947 9.78188i −0.465833 0.495325i
\(391\) 6.76768i 0.342256i
\(392\) 2.33337 6.59965i 0.117853 0.333333i
\(393\) −9.89772 + 7.49697i −0.499274 + 0.378172i
\(394\) −12.3260 −0.620977
\(395\) 6.68320 + 11.5756i 0.336268 + 0.582434i
\(396\) 0.616145 + 2.42010i 0.0309625 + 0.121615i
\(397\) 11.8885i 0.596667i 0.954462 + 0.298334i \(0.0964308\pi\)
−0.954462 + 0.298334i \(0.903569\pi\)
\(398\) −27.4125 −1.37406
\(399\) −9.91533 6.33963i −0.496388 0.317378i
\(400\) 0.188263 0.326081i 0.00941315 0.0163041i
\(401\) −20.4328 + 11.7969i −1.02036 + 0.589107i −0.914209 0.405242i \(-0.867187\pi\)
−0.106155 + 0.994350i \(0.533854\pi\)
\(402\) −11.3674 + 1.42433i −0.566956 + 0.0710390i
\(403\) 0.913324 + 8.54525i 0.0454959 + 0.425669i
\(404\) −6.68381 + 11.5767i −0.332532 + 0.575962i
\(405\) 16.5122 + 10.0920i 0.820499 + 0.501474i
\(406\) 3.94086 22.9687i 0.195582 1.13992i
\(407\) −0.129709 + 0.0748874i −0.00642942 + 0.00371203i
\(408\) −2.84815 3.76022i −0.141005 0.186158i
\(409\) −9.83316 5.67718i −0.486218 0.280718i 0.236786 0.971562i \(-0.423906\pi\)
−0.723004 + 0.690844i \(0.757239\pi\)
\(410\) 22.1216 + 12.7719i 1.09251 + 0.630759i
\(411\) −6.54018 8.63454i −0.322603 0.425911i
\(412\) 12.8325 7.40885i 0.632212 0.365008i
\(413\) −5.13439 4.26807i −0.252647 0.210018i
\(414\) 7.22449 1.83932i 0.355064 0.0903975i
\(415\) −1.00074 + 1.73333i −0.0491243 + 0.0850858i
\(416\) 2.91322 2.12441i 0.142833 0.104158i
\(417\) 3.58054 0.448638i 0.175340 0.0219699i
\(418\) 1.85141 1.06891i 0.0905556 0.0522823i
\(419\) 6.35642 11.0096i 0.310531 0.537856i −0.667946 0.744210i \(-0.732826\pi\)
0.978477 + 0.206354i \(0.0661597\pi\)
\(420\) 9.84348 + 0.445937i 0.480313 + 0.0217595i
\(421\) 36.5159 1.77968 0.889839 0.456275i \(-0.150817\pi\)
0.889839 + 0.456275i \(0.150817\pi\)
\(422\) 23.5430i 1.14606i
\(423\) 2.47354 0.629751i 0.120268 0.0306195i
\(424\) 5.99761 + 10.3882i 0.291270 + 0.504494i
\(425\) 1.02544 0.0497412
\(426\) −11.9331 + 9.03867i −0.578162 + 0.437925i
\(427\) 9.53111 + 1.63531i 0.461243 + 0.0791380i
\(428\) 1.40104i 0.0677219i
\(429\) −3.56147 3.78694i −0.171949 0.182835i
\(430\) 14.4933 8.36769i 0.698928 0.403526i
\(431\) 5.97670i 0.287887i −0.989586 0.143944i \(-0.954022\pi\)
0.989586 0.143944i \(-0.0459784\pi\)
\(432\) −3.23996 + 4.06235i −0.155883 + 0.195450i
\(433\) −27.0676 + 15.6275i −1.30079 + 0.751009i −0.980539 0.196325i \(-0.937099\pi\)
−0.320247 + 0.947334i \(0.603766\pi\)
\(434\) −4.84948 4.03123i −0.232783 0.193505i
\(435\) 32.5499 4.07846i 1.56065 0.195547i
\(436\) 8.09517 0.387688
\(437\) −3.19092 5.52684i −0.152643 0.264385i
\(438\) −17.4448 + 13.2135i −0.833547 + 0.631365i
\(439\) 25.7980 14.8945i 1.23127 0.710875i 0.263976 0.964529i \(-0.414966\pi\)
0.967295 + 0.253654i \(0.0816326\pi\)
\(440\) −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 −0.00547441 0.999985i \(-0.501743\pi\)
−0.868750 + 0.495252i \(0.835076\pi\)
\(444\) −0.287164 0.121056i −0.0136282 0.00574504i
\(445\) 2.46394 0.116802
\(446\) −29.3599 −1.39023
\(447\) 8.23383 19.5320i 0.389447 0.923833i
\(448\) −0.447408 + 2.60765i −0.0211381 + 0.123200i
\(449\) −24.6546 + 14.2344i −1.16352 + 0.671761i −0.952146 0.305644i \(-0.901128\pi\)
−0.211377 + 0.977405i \(0.567795\pi\)
\(450\) −0.278694 1.09466i −0.0131378 0.0516027i
\(451\) 8.56411 + 4.94449i 0.403268 + 0.232827i
\(452\) 3.64060i 0.171239i
\(453\) −0.217045 1.73222i −0.0101977 0.0813867i
\(454\) 28.3861i 1.33223i
\(455\) −18.3783 + 9.10904i −0.861588 + 0.427038i
\(456\) 4.09887 + 1.72790i 0.191947 + 0.0809164i
\(457\) 10.2066 + 17.6783i 0.477444 + 0.826956i 0.999666 0.0258530i \(-0.00823019\pi\)
−0.522222 + 0.852809i \(0.674897\pi\)
\(458\) 14.5633 0.680497
\(459\) −13.9932 2.10987i −0.653146 0.0984803i
\(460\) 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 \(0.819838\pi\)
\(462\) 3.81078 + 0.172639i 0.177294 + 0.00803189i
\(463\) −22.0589 −1.02517 −0.512583 0.858638i \(-0.671311\pi\)
−0.512583 + 0.858638i \(0.671311\pi\)
\(464\) 8.80820i 0.408910i
\(465\) 3.44826 8.17985i 0.159909 0.379331i
\(466\) −14.7939 −0.685314
\(467\) 3.76001 6.51253i 0.173993 0.301364i −0.765820 0.643056i \(-0.777666\pi\)
0.939812 + 0.341691i \(0.111000\pi\)
\(468\) 1.80678 10.6647i 0.0835184 0.492975i
\(469\) −2.95930 + 17.2478i −0.136648 + 0.796429i
\(470\) 1.58435 + 0.914724i 0.0730806 + 0.0421931i
\(471\) −27.0378 + 3.38780i −1.24584 + 0.156102i
\(472\) 2.18546 + 1.26178i 0.100594 + 0.0580780i
\(473\) 5.61090 3.23945i 0.257989 0.148950i
\(474\) −4.18241 + 9.92137i −0.192104 + 0.455704i
\(475\) −0.837430 + 0.483490i −0.0384239 + 0.0221841i
\(476\) −6.75953 + 2.49563i −0.309823 + 0.114387i
\(477\) 34.6403 + 9.74756i 1.58607 + 0.446310i
\(478\) −10.0131 17.3431i −0.457987 0.793257i
\(479\) −30.8345 −1.40887 −0.704433 0.709771i \(-0.748799\pi\)
−0.704433 + 0.709771i \(0.748799\pi\)
\(480\) −3.69541 + 0.463030i −0.168671 + 0.0211343i
\(481\) 0.645050 0.0689436i 0.0294118 0.00314356i
\(482\) 10.4032 0.473851
\(483\) 0.515362 11.3760i 0.0234498 0.517624i
\(484\) 5.15353 8.92617i 0.234251 0.405735i
\(485\) 17.6015i 0.799242i
\(486\) 1.55078 + 15.5111i 0.0703448 + 0.703599i
\(487\) 3.15309 5.46131i 0.142880 0.247475i −0.785700 0.618608i \(-0.787697\pi\)
0.928580 + 0.371132i \(0.121030\pi\)
\(488\) −3.65506 −0.165457
\(489\) 37.9866 + 16.0135i 1.71781 + 0.724153i
\(490\) 5.01727 14.1907i 0.226657 0.641073i
\(491\) 10.5405 + 6.08555i 0.475686 + 0.274637i 0.718617 0.695406i \(-0.244776\pi\)
−0.242931 + 0.970044i \(0.578109\pi\)
\(492\) 2.55815 + 20.4164i 0.115330 + 0.920443i
\(493\) −20.7747 + 11.9943i −0.935644 + 0.540194i
\(494\) −9.20721 + 0.984075i −0.414252 + 0.0442756i
\(495\) 1.32485 + 5.20376i 0.0595476 + 0.233892i
\(496\) 2.06419 + 1.19176i 0.0926850 + 0.0535117i
\(497\) 7.91994 + 21.4515i 0.355258 + 0.962232i
\(498\) −1.59972 + 0.200443i −0.0716852 + 0.00898207i
\(499\) −16.3741 + 28.3607i −0.733004 + 1.26960i 0.222589 + 0.974912i \(0.428549\pi\)
−0.955593 + 0.294688i \(0.904784\pi\)
\(500\) 5.78037 10.0119i 0.258506 0.447746i
\(501\) 4.61944 3.49897i 0.206381 0.156322i
\(502\) −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 \(0.606485\pi\)
\(504\) 4.50119 + 6.53753i 0.200499 + 0.291205i
\(505\) −14.3717 + 24.8925i −0.639533 + 1.10770i
\(506\) 1.79145 + 1.03429i 0.0796396 + 0.0459799i
\(507\) 7.45811 + 21.2456i 0.331226 + 0.943551i
\(508\) −9.89702 17.1421i −0.439109 0.760560i
\(509\) 21.0685 + 36.4917i 0.933843 + 1.61746i 0.776683 + 0.629891i \(0.216901\pi\)
0.157160 + 0.987573i \(0.449766\pi\)
\(510\) −6.12417 8.08532i −0.271183 0.358024i
\(511\) 11.5780 + 31.3596i 0.512182 + 1.38727i
\(512\) 1.00000i 0.0441942i
\(513\) 12.4224 4.87468i 0.548461 0.215222i
\(514\) −5.37459 3.10302i −0.237063 0.136868i
\(515\) 27.5928 15.9307i 1.21588 0.701990i
\(516\) 12.4220 + 5.23658i 0.546850 + 0.230528i
\(517\) 0.613362 + 0.354124i 0.0269756 + 0.0155744i
\(518\) −0.304303 + 0.366070i −0.0133703 + 0.0160842i
\(519\) −31.4166 13.2439i −1.37904 0.581341i
\(520\) 6.26409 4.56797i 0.274699 0.200319i
\(521\) 1.88398 + 3.26316i 0.0825389 + 0.142962i 0.904340 0.426813i \(-0.140364\pi\)
−0.821801 + 0.569775i \(0.807030\pi\)
\(522\) 18.4500 + 18.9171i 0.807534 + 0.827980i
\(523\) 18.3198 10.5769i 0.801069 0.462498i −0.0427757 0.999085i \(-0.513620\pi\)
0.843845 + 0.536587i \(0.180287\pi\)
\(524\) −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
\(527\) 6.49136i 0.282768i
\(528\) −1.43063 + 0.179257i −0.0622603 + 0.00780114i
\(529\) −8.41243 + 14.5707i −0.365758 + 0.633511i
\(530\) 12.8962 + 22.3369i 0.560176 + 0.970253i
\(531\) 7.33663 1.86787i 0.318382 0.0810585i
\(532\) 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
\(535\) 3.01256i 0.130244i
\(536\) 6.61431i 0.285695i
\(537\) −0.897504 + 2.12903i −0.0387302 + 0.0918744i
\(538\) 5.00152i 0.215631i
\(539\) 1.94237 5.49378i 0.0836640 0.236634i
\(540\) −6.96664 + 8.73497i −0.299797 + 0.375893i
\(541\) −9.07775 + 15.7231i −0.390283 + 0.675990i −0.992487 0.122352i \(-0.960956\pi\)
0.602204 + 0.798343i \(0.294290\pi\)
\(542\) 3.29636 5.70946i 0.141591 0.245242i
\(543\) −0.761713 + 1.80691i −0.0326882 + 0.0775420i
\(544\) 2.35856 1.36171i 0.101122 0.0583830i
\(545\) 17.4064 0.745610
\(546\) −14.7876 7.37065i −0.632852 0.315435i
\(547\) 26.8382 1.14752 0.573760 0.819023i \(-0.305484\pi\)
0.573760 + 0.819023i \(0.305484\pi\)
\(548\) 5.41593 3.12689i 0.231357 0.133574i
\(549\) −7.84988 + 7.65603i −0.335025 + 0.326751i
\(550\) 0.156717 0.271441i 0.00668242 0.0115743i
\(551\) 11.3104 19.5903i 0.481841 0.834574i
\(552\) 0.535117 + 4.27073i 0.0227761 + 0.181774i
\(553\) 12.6475 + 10.5135i 0.537828 + 0.447081i
\(554\) 16.9907i 0.721866i
\(555\) −0.617468 0.260297i −0.0262100 0.0110490i
\(556\) 2.08339i 0.0883555i
\(557\) 12.1400i 0.514388i −0.966360 0.257194i \(-0.917202\pi\)
0.966360 0.257194i \(-0.0827979\pi\)
\(558\) 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
\(561\) −2.37090 3.13013i −0.100099 0.132154i
\(562\) −1.55848 2.69937i −0.0657405 0.113866i
\(563\) −1.28773 + 2.23042i −0.0542714 + 0.0940008i −0.891885 0.452263i \(-0.850617\pi\)
0.837613 + 0.546264i \(0.183950\pi\)
\(564\) 0.183215 + 1.46222i 0.00771474 + 0.0615707i
\(565\) 7.82812i 0.329331i
\(566\) 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
\(569\) 24.5642 14.1822i 1.02979 0.594547i 0.112862 0.993611i \(-0.463998\pi\)
0.916923 + 0.399064i \(0.130665\pi\)
\(570\) 8.81350 + 3.71538i 0.369157 + 0.155620i
\(571\) 2.33873 + 4.05080i 0.0978729 + 0.169521i 0.910804 0.412839i \(-0.135463\pi\)
−0.812931 + 0.582360i \(0.802129\pi\)
\(572\) 2.42507 1.76843i 0.101397 0.0739419i
\(573\) −14.2900 + 33.8982i −0.596972 + 1.41612i
\(574\) 30.9778 + 5.31503i 1.29299 + 0.221845i
\(575\) −0.810307 0.467831i −0.0337921 0.0195099i
\(576\) −2.09464 2.14767i −0.0872765 0.0894863i
\(577\) 39.9089 23.0414i 1.66143 0.959228i 0.689398 0.724382i \(-0.257875\pi\)
0.972033 0.234845i \(-0.0754584\pi\)
\(578\) −8.29906 4.79147i −0.345196 0.199299i
\(579\) −4.99410 2.10529i −0.207548 0.0874930i
\(580\) 18.9396i 0.786425i
\(581\) −0.416457 + 2.42725i −0.0172776 + 0.100699i
\(582\) 11.3022 8.56076i 0.468490 0.354855i
\(583\) 4.99261 + 8.64746i 0.206773 + 0.358141i
\(584\) −6.31743 10.9421i −0.261417 0.452787i
\(585\) 3.88499 22.9315i 0.160624 0.948101i
\(586\) 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 \(0.110745\pi\)
\(588\) 11.5523 3.68023i 0.476409 0.151770i
\(589\) −3.06064 5.30118i −0.126111 0.218431i
\(590\) 4.69924 + 2.71311i 0.193465 + 0.111697i
\(591\) −12.8905 17.0185i −0.530245 0.700046i
\(592\) 0.0899619 0.155819i 0.00369741 0.00640410i
\(593\) −4.98232 + 8.62964i −0.204599 + 0.354377i −0.950005 0.312235i \(-0.898923\pi\)
0.745406 + 0.666611i \(0.232256\pi\)
\(594\) −2.69705 + 3.38164i −0.110661 + 0.138750i
\(595\) −14.5345 + 5.36617i −0.595857 + 0.219992i
\(596\) 10.5983 + 6.11893i 0.434123 + 0.250641i
\(597\) −28.6679 37.8482i −1.17330 1.54902i
\(598\) −5.27913 7.23932i −0.215880 0.296038i
\(599\) 29.5283 17.0482i 1.20649 0.696569i 0.244502 0.969649i \(-0.421376\pi\)
0.961991 + 0.273080i \(0.0880423\pi\)
\(600\) 0.647102 0.0810812i 0.0264178 0.00331013i
\(601\) −10.4907 6.05683i −0.427926 0.247063i 0.270537 0.962710i \(-0.412799\pi\)
−0.698463 + 0.715646i \(0.746132\pi\)
\(602\) 13.1635 15.8353i 0.536502 0.645400i
\(603\) −13.8546 14.2054i −0.564202 0.578487i
\(604\) 1.00792 0.0410116
\(605\) 11.0812 19.1933i 0.450517 0.780318i
\(606\) −22.9738 + 2.87859i −0.933245 + 0.116935i
\(607\) 21.1731i 0.859391i −0.902974 0.429696i \(-0.858621\pi\)
0.902974 0.429696i \(-0.141379\pi\)
\(608\) −1.28408 + 2.22409i −0.0520764 + 0.0901990i
\(609\) 35.8340 18.5794i 1.45207 0.752877i
\(610\) −7.85921 −0.318210
\(611\) −1.80748 2.47862i −0.0731230 0.100274i
\(612\) 2.21311 7.86484i 0.0894598 0.317917i
\(613\) −6.13885 −0.247946 −0.123973 0.992286i \(-0.539564\pi\)
−0.123973 + 0.992286i \(0.539564\pi\)
\(614\) 8.12172 + 14.0672i 0.327766 + 0.567707i
\(615\) 5.50061 + 43.8999i 0.221806 + 1.77022i
\(616\) −0.372438 + 2.17070i −0.0150060 + 0.0874598i
\(617\) −12.0384 + 6.95037i −0.484647 + 0.279811i −0.722351 0.691526i \(-0.756939\pi\)
0.237704 + 0.971338i \(0.423605\pi\)
\(618\) 23.6495 + 9.96958i 0.951323 + 0.401036i
\(619\) −19.7752 + 11.4172i −0.794833 + 0.458897i −0.841661 0.540006i \(-0.818422\pi\)
0.0468282 + 0.998903i \(0.485089\pi\)
\(620\) 4.43848 + 2.56256i 0.178254 + 0.102915i
\(621\) 10.0949 + 8.05124i 0.405093 + 0.323085i
\(622\) −21.6238 12.4845i −0.867034 0.500582i
\(623\) 2.84411 1.05005i 0.113947 0.0420694i
\(624\) 5.97980 + 1.80056i 0.239383 + 0.0720802i
\(625\) 11.4878 19.8975i 0.459512 0.795898i
\(626\) 26.6344 1.06452
\(627\) 3.41204 + 1.43836i 0.136264 + 0.0574428i
\(628\) 15.7323i 0.627788i
\(629\) 0.490010 0.0195380
\(630\) 9.67857 + 14.0572i 0.385604 + 0.560051i
\(631\) 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
\(633\) −32.5057 + 24.6212i −1.29198 + 0.978605i
\(634\) 8.35528 0.331831
\(635\) −21.2808 36.8595i −0.844504 1.46272i
\(636\) −8.07057 + 19.1447i −0.320019 + 0.759139i
\(637\) −17.3320 + 18.3467i −0.686718 + 0.726924i
\(638\) 7.33225i 0.290287i
\(639\) −24.9592 7.02337i −0.987372 0.277840i
\(640\) 2.15023i 0.0849952i
\(641\) −17.0599 9.84956i −0.673827 0.389034i 0.123698 0.992320i \(-0.460525\pi\)
−0.797525 + 0.603286i \(0.793858\pi\)
\(642\) −1.93441 + 1.46520i −0.0763450 + 0.0578270i
\(643\) −5.10073 + 2.94491i −0.201153 + 0.116136i −0.597193 0.802097i \(-0.703717\pi\)
0.396040 + 0.918233i \(0.370384\pi\)
\(644\) 6.47996 + 1.11180i 0.255346 + 0.0438112i
\(645\) 26.7102 + 11.2598i 1.05171 + 0.443356i
\(646\) −6.99421 −0.275184
\(647\) −31.7906 −1.24982 −0.624908 0.780698i \(-0.714864\pi\)
−0.624908 + 0.780698i \(0.714864\pi\)
\(648\) −8.99719 0.224993i −0.353443 0.00883857i
\(649\) 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
\(653\) −16.1732 + 9.33759i −0.632905 + 0.365408i −0.781876 0.623433i \(-0.785737\pi\)
0.148971 + 0.988842i \(0.452404\pi\)
\(654\) 8.46590 + 11.1769i 0.331043 + 0.437053i
\(655\) −7.70713 13.3491i −0.301143 0.521594i
\(656\) −11.8796 −0.463820
\(657\) −36.4875 10.2673i −1.42351 0.400567i
\(658\) 2.21863 + 0.380662i 0.0864912 + 0.0148398i
\(659\) 39.2891 22.6836i 1.53049 0.883626i 0.531146 0.847280i \(-0.321762\pi\)
0.999339 0.0363457i \(-0.0115717\pi\)
\(660\) −3.07618 + 0.385442i −0.119740 + 0.0150033i
\(661\) 8.27276i 0.321773i −0.986973 0.160887i \(-0.948565\pi\)
0.986973 0.160887i \(-0.0514353\pi\)
\(662\) −13.7950 + 7.96452i −0.536156 + 0.309550i
\(663\) 3.89604 + 16.5556i 0.151310 + 0.642965i
\(664\) 0.930821i 0.0361229i
\(665\) 9.33953 11.2352i 0.362172 0.435684i
\(666\) −0.133175 0.523085i −0.00516041 0.0202691i
\(667\) 21.8882 0.847516
\(668\) 1.67287 + 2.89750i 0.0647254 + 0.112108i
\(669\) −30.7044 40.5369i −1.18710 1.56725i
\(670\) 14.2223i 0.549454i
\(671\) −3.04260 −0.117458
\(672\) −4.06826 + 2.10933i −0.156936 + 0.0813694i
\(673\) 3.04087 5.26695i 0.117217 0.203026i −0.801447 0.598066i \(-0.795936\pi\)
0.918664 + 0.395040i \(0.129269\pi\)
\(674\) 1.20207 0.694014i 0.0463019 0.0267324i
\(675\) 1.21993 1.52958i 0.0469551 0.0588736i
\(676\) −12.7063 + 2.74752i −0.488705 + 0.105674i
\(677\) −4.15629 + 7.19891i −0.159739 + 0.276677i −0.934775 0.355241i \(-0.884399\pi\)
0.775035 + 0.631918i \(0.217732\pi\)
\(678\) −5.02655 + 3.80733i −0.193043 + 0.146220i
\(679\) −7.50118 20.3173i −0.287869 0.779706i
\(680\) 5.07144 2.92799i 0.194481 0.112283i
\(681\) −39.1924 + 29.6861i −1.50186 + 1.13757i
\(682\) 1.71830 + 0.992063i 0.0657973 + 0.0379881i
\(683\) −24.6429 14.2276i −0.942935 0.544404i −0.0520558 0.998644i \(-0.516577\pi\)
−0.890879 + 0.454240i \(0.849911\pi\)
\(684\) 1.90088 + 7.46631i 0.0726821 + 0.285482i
\(685\) 11.6455 6.72352i 0.444951 0.256893i
\(686\) −0.256233 18.5185i −0.00978304 0.707039i
\(687\) 15.2302 + 20.1074i 0.581069 + 0.767145i
\(688\) −3.89154 + 6.74035i −0.148364 + 0.256973i
\(689\) −4.59635 43.0044i −0.175107 1.63834i
\(690\) 1.15062 + 9.18303i 0.0438035 + 0.349592i
\(691\) 13.1288 7.57990i 0.499442 0.288353i −0.229041 0.973417i \(-0.573559\pi\)
0.728483 + 0.685064i \(0.240226\pi\)
\(692\) 9.84211 17.0470i 0.374141 0.648031i
\(693\) 3.74694 + 5.44207i 0.142335 + 0.206727i
\(694\) 0.408244 0.0154967
\(695\) 4.47976i 0.169927i
\(696\) −12.1614 + 9.21158i −0.460977 + 0.349164i
\(697\) −16.1766 28.0187i −0.612733 1.06128i
\(698\) −1.80104 −0.0681705
\(699\) −15.4714 20.4258i −0.585182 0.772575i
\(700\) 0.168461 0.981847i 0.00636722 0.0371103i
\(701\) 26.0859i 0.985251i 0.870241 + 0.492625i \(0.163963\pi\)
−0.870241 + 0.492625i \(0.836037\pi\)
\(702\) 16.6142 8.65848i 0.627061 0.326793i
\(703\) −0.400167 + 0.231037i −0.0150926 + 0.00871372i
\(704\) 0.832434i 0.0313736i
\(705\) 0.393954 + 3.14411i 0.0148372 + 0.118414i
\(706\) −20.7468 + 11.9782i −0.780816 + 0.450805i
\(707\) −5.98079 + 34.8581i −0.224931 + 1.31097i
\(708\) 0.543423 + 4.33701i 0.0204231 + 0.162995i
\(709\) −19.1268 −0.718322 −0.359161 0.933276i \(-0.616937\pi\)
−0.359161 + 0.933276i \(0.616937\pi\)
\(710\) −9.29205 16.0943i −0.348725 0.604009i
\(711\) −18.0723 + 4.60112i −0.677765 + 0.172555i
\(712\) −0.992375 + 0.572948i −0.0371908 + 0.0214721i
\(713\) 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
\(717\) 13.4739 31.9624i 0.503192 1.19366i
\(718\) −8.24875 −0.307841
\(719\) 21.8915 0.816416 0.408208 0.912889i \(-0.366154\pi\)
0.408208 + 0.912889i \(0.366154\pi\)
\(720\) −4.50394 4.61798i −0.167852 0.172102i
\(721\) 25.0610 30.1479i 0.933322 1.12276i
\(722\) −10.7426 + 6.20227i −0.399800 + 0.230825i
\(723\) 10.8796 + 14.3636i 0.404616 + 0.534187i
\(724\) −0.980451 0.566063i −0.0364382 0.0210376i
\(725\) 3.31652i 0.123172i
\(726\) 17.7138 2.21952i 0.657422 0.0823742i
\(727\) 33.9953i 1.26082i −0.776264 0.630408i \(-0.782888\pi\)
0.776264 0.630408i \(-0.217112\pi\)
\(728\) 5.28388 7.94233i 0.195834 0.294362i
\(729\) −19.7943 + 18.3626i −0.733122 + 0.680097i
\(730\) −13.5839 23.5280i −0.502763 0.870810i
\(731\) −21.1967 −0.783987
\(732\) −3.82245 5.04651i −0.141282 0.186525i
\(733\) −21.2418 12.2639i −0.784582 0.452979i 0.0534695 0.998569i \(-0.482972\pi\)
−0.838052 + 0.545591i \(0.816305\pi\)
\(734\) 5.83498 + 10.1065i 0.215373 + 0.373037i
\(735\) 24.8401 7.91333i 0.916240 0.291887i
\(736\) −2.48498 −0.0915978
\(737\) 5.50598i 0.202815i
\(738\) −25.5135 + 24.8834i −0.939164 + 0.915972i
\(739\) 25.0721 0.922293 0.461146 0.887324i \(-0.347438\pi\)
0.461146 + 0.887324i \(0.347438\pi\)
\(740\) 0.193438 0.335045i 0.00711094 0.0123165i
\(741\) −10.9876 11.6832i −0.403638 0.429192i
\(742\) 24.4053 + 20.2874i 0.895946 + 0.744774i
\(743\) −0.168411 0.0972319i −0.00617839 0.00356709i 0.496908 0.867803i \(-0.334469\pi\)
−0.503086 + 0.864236i \(0.667802\pi\)
\(744\) 0.513268 + 4.09635i 0.0188173 + 0.150180i
\(745\) 22.7887 + 13.1571i 0.834915 + 0.482038i
\(746\) 27.6209 15.9469i 1.01127 0.583859i
\(747\) −1.94973 1.99910i −0.0713370 0.0731432i
\(748\) 1.96335 1.13354i 0.0717870 0.0414463i
\(749\) 1.28385 + 3.47738i 0.0469110 + 0.127061i
\(750\) 19.8684 2.48949i 0.725493 0.0909034i
\(751\) 10.7645 + 18.6447i 0.392803 + 0.680356i 0.992818 0.119633i \(-0.0381719\pi\)
−0.600015 + 0.799989i \(0.704839\pi\)
\(752\) −0.850817 −0.0310261
\(753\) −0.479843 3.82959i −0.0174865 0.139558i
\(754\) 12.8663 29.0354i 0.468564 1.05741i
\(755\) 2.16725 0.0788743
\(756\) −4.31899 + 13.0517i −0.157080 + 0.474685i
\(757\) −24.5972 + 42.6036i −0.894000 + 1.54845i −0.0589622 + 0.998260i \(0.518779\pi\)
−0.835038 + 0.550193i \(0.814554\pi\)
\(758\) 19.8659i 0.721560i
\(759\) 0.445450 + 3.55510i 0.0161688 + 0.129042i
\(760\) −2.76107 + 4.78231i −0.100154 + 0.173473i
\(761\) −0.296264 −0.0107396 −0.00536978 0.999986i \(-0.501709\pi\)
−0.00536978 + 0.999986i \(0.501709\pi\)
\(762\) 13.3178 31.5919i 0.482451 1.14445i
\(763\) 20.0922 7.41806i 0.727385 0.268552i
\(764\) −18.3935 10.6195i −0.665455 0.384201i
\(765\) 4.75870 16.9112i 0.172051 0.611425i
\(766\) 0.635039 0.366640i 0.0229449 0.0132472i
\(767\) −5.36107 7.35168i −0.193577 0.265454i
\(768\) 1.38069 1.04580i 0.0498214 0.0377369i
\(769\) −27.7574 16.0257i −1.00096 0.577902i −0.0924253 0.995720i \(-0.529462\pi\)
−0.908531 + 0.417817i \(0.862795\pi\)
\(770\) −0.800826 + 4.66749i −0.0288598 + 0.168205i
\(771\) −1.33641 10.6658i −0.0481297 0.384119i
\(772\) 1.56454 2.70986i 0.0563089 0.0975299i
\(773\) −12.7483 + 22.0808i −0.458526 + 0.794190i −0.998883 0.0472456i \(-0.984956\pi\)
0.540358 + 0.841436i \(0.318289\pi\)
\(774\) 5.76082 + 22.6274i 0.207069 + 0.813326i
\(775\) −0.777222 0.448729i −0.0279186 0.0161188i