Properties

Label 585.2.bt.b.376.14
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 376.14
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23573 - 0.713450i) q^{2} +(-1.00032 + 1.41399i) q^{3} +(0.0180219 + 0.0312149i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(2.24493 - 1.03364i) q^{6} +(2.69830 + 1.55786i) q^{7} +2.80237i q^{8} +(-0.998738 - 2.82887i) q^{9} +O(q^{10})\) \(q+(-1.23573 - 0.713450i) q^{2} +(-1.00032 + 1.41399i) q^{3} +(0.0180219 + 0.0312149i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(2.24493 - 1.03364i) q^{6} +(2.69830 + 1.55786i) q^{7} +2.80237i q^{8} +(-0.998738 - 2.82887i) q^{9} +1.42690 q^{10} +(3.29338 + 1.90143i) q^{11} +(-0.0621651 - 0.00574190i) q^{12} +(-1.95544 - 3.02923i) q^{13} +(-2.22292 - 3.85020i) q^{14} +(0.159303 - 1.72471i) q^{15} +(2.03539 - 3.52541i) q^{16} -5.10807 q^{17} +(-0.784087 + 4.20828i) q^{18} -2.45663i q^{19} +(-0.0312149 - 0.0180219i) q^{20} +(-4.90195 + 2.25701i) q^{21} +(-2.71315 - 4.69932i) q^{22} +(3.91395 + 6.77916i) q^{23} +(-3.96252 - 2.80325i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.255200 + 5.13843i) q^{26} +(4.99905 + 1.41756i) q^{27} +0.112303i q^{28} +(-0.937802 + 1.62432i) q^{29} +(-1.42735 + 2.01762i) q^{30} +(-0.553836 + 0.319758i) q^{31} +(-0.176557 + 0.101935i) q^{32} +(-5.98303 + 2.75477i) q^{33} +(6.31221 + 3.64436i) q^{34} -3.11573 q^{35} +(0.0703037 - 0.0821571i) q^{36} +11.3276i q^{37} +(-1.75269 + 3.03574i) q^{38} +(6.23936 + 0.265207i) q^{39} +(-1.40118 - 2.42692i) q^{40} +(-6.13667 + 3.54301i) q^{41} +(7.66777 + 0.708236i) q^{42} +(-3.69930 + 6.40737i) q^{43} +0.137070i q^{44} +(2.27937 + 1.95051i) q^{45} -11.1696i q^{46} +(0.870833 + 0.502776i) q^{47} +(2.94885 + 6.40455i) q^{48} +(1.35388 + 2.34499i) q^{49} +(-1.23573 + 0.713450i) q^{50} +(5.10969 - 7.22277i) q^{51} +(0.0593162 - 0.115631i) q^{52} -2.10815 q^{53} +(-5.16613 - 5.31830i) q^{54} -3.80287 q^{55} +(-4.36571 + 7.56163i) q^{56} +(3.47366 + 2.45741i) q^{57} +(2.31774 - 1.33815i) q^{58} +(-12.5082 + 7.22162i) q^{59} +(0.0567075 - 0.0261099i) q^{60} +(-3.27156 + 5.66651i) q^{61} +0.912524 q^{62} +(1.71210 - 9.18904i) q^{63} -7.85067 q^{64} +(3.20808 + 1.64567i) q^{65} +(9.35881 + 0.864429i) q^{66} +(0.631710 - 0.364718i) q^{67} +(-0.0920572 - 0.159448i) q^{68} +(-13.5009 - 1.24701i) q^{69} +(3.85020 + 2.22292i) q^{70} +10.3248i q^{71} +(7.92755 - 2.79883i) q^{72} -7.51823i q^{73} +(8.08166 - 13.9978i) q^{74} +(0.724394 + 1.57329i) q^{75} +(0.0766835 - 0.0442732i) q^{76} +(5.92435 + 10.2613i) q^{77} +(-7.52097 - 4.77920i) q^{78} +(7.34841 - 12.7278i) q^{79} +4.07079i q^{80} +(-7.00505 + 5.65061i) q^{81} +10.1110 q^{82} +(-1.00753 - 0.581700i) q^{83} +(-0.158795 - 0.112338i) q^{84} +(4.42372 - 2.55404i) q^{85} +(9.14267 - 5.27852i) q^{86} +(-1.35868 - 2.95088i) q^{87} +(-5.32852 + 9.22926i) q^{88} -2.30943i q^{89} +(-1.42510 - 4.03652i) q^{90} +(-0.557245 - 11.2201i) q^{91} +(-0.141074 + 0.244347i) q^{92} +(0.101877 - 1.10298i) q^{93} +(-0.717411 - 1.24259i) q^{94} +(1.22832 + 2.12751i) q^{95} +(0.0324772 - 0.351616i) q^{96} +(13.8897 + 8.01923i) q^{97} -3.86370i q^{98} +(2.08969 - 11.2156i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23573 0.713450i −0.873794 0.504485i −0.00518701 0.999987i \(-0.501651\pi\)
−0.868607 + 0.495501i \(0.834984\pi\)
\(3\) −1.00032 + 1.41399i −0.577532 + 0.816368i
\(4\) 0.0180219 + 0.0312149i 0.00901095 + 0.0156074i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 2.24493 1.03364i 0.916490 0.421981i
\(7\) 2.69830 + 1.55786i 1.01986 + 0.588817i 0.914064 0.405571i \(-0.132927\pi\)
0.105797 + 0.994388i \(0.466260\pi\)
\(8\) 2.80237i 0.990787i
\(9\) −0.998738 2.82887i −0.332913 0.942958i
\(10\) 1.42690 0.451225
\(11\) 3.29338 + 1.90143i 0.992991 + 0.573304i 0.906167 0.422920i \(-0.138995\pi\)
0.0868240 + 0.996224i \(0.472328\pi\)
\(12\) −0.0621651 0.00574190i −0.0179455 0.00165754i
\(13\) −1.95544 3.02923i −0.542343 0.840157i
\(14\) −2.22292 3.85020i −0.594099 1.02901i
\(15\) 0.159303 1.72471i 0.0411320 0.445318i
\(16\) 2.03539 3.52541i 0.508849 0.881352i
\(17\) −5.10807 −1.23889 −0.619445 0.785040i \(-0.712642\pi\)
−0.619445 + 0.785040i \(0.712642\pi\)
\(18\) −0.784087 + 4.20828i −0.184811 + 0.991901i
\(19\) 2.45663i 0.563591i −0.959475 0.281795i \(-0.909070\pi\)
0.959475 0.281795i \(-0.0909299\pi\)
\(20\) −0.0312149 0.0180219i −0.00697985 0.00402982i
\(21\) −4.90195 + 2.25701i −1.06969 + 0.492521i
\(22\) −2.71315 4.69932i −0.578447 1.00190i
\(23\) 3.91395 + 6.77916i 0.816115 + 1.41355i 0.908524 + 0.417832i \(0.137210\pi\)
−0.0924090 + 0.995721i \(0.529457\pi\)
\(24\) −3.96252 2.80325i −0.808847 0.572212i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.255200 + 5.13843i 0.0500488 + 1.00773i
\(27\) 4.99905 + 1.41756i 0.962068 + 0.272809i
\(28\) 0.112303i 0.0212232i
\(29\) −0.937802 + 1.62432i −0.174145 + 0.301629i −0.939865 0.341546i \(-0.889050\pi\)
0.765720 + 0.643174i \(0.222383\pi\)
\(30\) −1.42735 + 2.01762i −0.260597 + 0.368366i
\(31\) −0.553836 + 0.319758i −0.0994719 + 0.0574302i −0.548911 0.835881i \(-0.684957\pi\)
0.449439 + 0.893311i \(0.351624\pi\)
\(32\) −0.176557 + 0.101935i −0.0312111 + 0.0180197i
\(33\) −5.98303 + 2.75477i −1.04151 + 0.479544i
\(34\) 6.31221 + 3.64436i 1.08254 + 0.625002i
\(35\) −3.11573 −0.526654
\(36\) 0.0703037 0.0821571i 0.0117173 0.0136929i
\(37\) 11.3276i 1.86224i 0.364711 + 0.931121i \(0.381168\pi\)
−0.364711 + 0.931121i \(0.618832\pi\)
\(38\) −1.75269 + 3.03574i −0.284323 + 0.492462i
\(39\) 6.23936 + 0.265207i 0.999098 + 0.0424671i
\(40\) −1.40118 2.42692i −0.221547 0.383730i
\(41\) −6.13667 + 3.54301i −0.958386 + 0.553325i −0.895676 0.444707i \(-0.853308\pi\)
−0.0627104 + 0.998032i \(0.519974\pi\)
\(42\) 7.66777 + 0.708236i 1.18316 + 0.109283i
\(43\) −3.69930 + 6.40737i −0.564137 + 0.977114i 0.432992 + 0.901398i \(0.357458\pi\)
−0.997129 + 0.0757166i \(0.975876\pi\)
\(44\) 0.137070i 0.0206640i
\(45\) 2.27937 + 1.95051i 0.339788 + 0.290764i
\(46\) 11.1696i 1.64687i
\(47\) 0.870833 + 0.502776i 0.127024 + 0.0733374i 0.562166 0.827025i \(-0.309968\pi\)
−0.435142 + 0.900362i \(0.643302\pi\)
\(48\) 2.94885 + 6.40455i 0.425630 + 0.924417i
\(49\) 1.35388 + 2.34499i 0.193411 + 0.334998i
\(50\) −1.23573 + 0.713450i −0.174759 + 0.100897i
\(51\) 5.10969 7.22277i 0.715499 1.01139i
\(52\) 0.0593162 0.115631i 0.00822567 0.0160352i
\(53\) −2.10815 −0.289576 −0.144788 0.989463i \(-0.546250\pi\)
−0.144788 + 0.989463i \(0.546250\pi\)
\(54\) −5.16613 5.31830i −0.703021 0.723729i
\(55\) −3.80287 −0.512778
\(56\) −4.36571 + 7.56163i −0.583392 + 1.01047i
\(57\) 3.47366 + 2.45741i 0.460097 + 0.325492i
\(58\) 2.31774 1.33815i 0.304335 0.175708i
\(59\) −12.5082 + 7.22162i −1.62843 + 0.940175i −0.643871 + 0.765134i \(0.722672\pi\)
−0.984561 + 0.175041i \(0.943994\pi\)
\(60\) 0.0567075 0.0261099i 0.00732091 0.00337078i
\(61\) −3.27156 + 5.66651i −0.418880 + 0.725522i −0.995827 0.0912597i \(-0.970911\pi\)
0.576947 + 0.816782i \(0.304244\pi\)
\(62\) 0.912524 0.115891
\(63\) 1.71210 9.18904i 0.215705 1.15771i
\(64\) −7.85067 −0.981334
\(65\) 3.20808 + 1.64567i 0.397913 + 0.204120i
\(66\) 9.35881 + 0.864429i 1.15199 + 0.106404i
\(67\) 0.631710 0.364718i 0.0771757 0.0445574i −0.460916 0.887444i \(-0.652479\pi\)
0.538091 + 0.842887i \(0.319146\pi\)
\(68\) −0.0920572 0.159448i −0.0111636 0.0193359i
\(69\) −13.5009 1.24701i −1.62531 0.150123i
\(70\) 3.85020 + 2.22292i 0.460187 + 0.265689i
\(71\) 10.3248i 1.22533i 0.790343 + 0.612665i \(0.209902\pi\)
−0.790343 + 0.612665i \(0.790098\pi\)
\(72\) 7.92755 2.79883i 0.934270 0.329846i
\(73\) 7.51823i 0.879943i −0.898012 0.439971i \(-0.854989\pi\)
0.898012 0.439971i \(-0.145011\pi\)
\(74\) 8.08166 13.9978i 0.939474 1.62722i
\(75\) 0.724394 + 1.57329i 0.0836458 + 0.181668i
\(76\) 0.0766835 0.0442732i 0.00879620 0.00507849i
\(77\) 5.92435 + 10.2613i 0.675142 + 1.16938i
\(78\) −7.52097 4.77920i −0.851582 0.541138i
\(79\) 7.34841 12.7278i 0.826760 1.43199i −0.0738063 0.997273i \(-0.523515\pi\)
0.900567 0.434718i \(-0.143152\pi\)
\(80\) 4.07079i 0.455128i
\(81\) −7.00505 + 5.65061i −0.778338 + 0.627845i
\(82\) 10.1110 1.11658
\(83\) −1.00753 0.581700i −0.110591 0.0638498i 0.443684 0.896183i \(-0.353671\pi\)
−0.554275 + 0.832333i \(0.687005\pi\)
\(84\) −0.158795 0.112338i −0.0173259 0.0122571i
\(85\) 4.42372 2.55404i 0.479820 0.277024i
\(86\) 9.14267 5.27852i 0.985880 0.569198i
\(87\) −1.35868 2.95088i −0.145665 0.316367i
\(88\) −5.32852 + 9.22926i −0.568022 + 0.983843i
\(89\) 2.30943i 0.244799i −0.992481 0.122400i \(-0.960941\pi\)
0.992481 0.122400i \(-0.0390590\pi\)
\(90\) −1.42510 4.03652i −0.150219 0.425486i
\(91\) −0.557245 11.2201i −0.0584151 1.17618i
\(92\) −0.141074 + 0.244347i −0.0147080 + 0.0254749i
\(93\) 0.101877 1.10298i 0.0105641 0.114373i
\(94\) −0.717411 1.24259i −0.0739952 0.128164i
\(95\) 1.22832 + 2.12751i 0.126023 + 0.218278i
\(96\) 0.0324772 0.351616i 0.00331469 0.0358867i
\(97\) 13.8897 + 8.01923i 1.41029 + 0.814230i 0.995415 0.0956500i \(-0.0304930\pi\)
0.414872 + 0.909880i \(0.363826\pi\)
\(98\) 3.86370i 0.390292i
\(99\) 2.08969 11.2156i 0.210022 1.12721i
\(100\) 0.0360438 0.00360438
\(101\) 8.10502 14.0383i 0.806479 1.39686i −0.108809 0.994063i \(-0.534704\pi\)
0.915288 0.402800i \(-0.131963\pi\)
\(102\) −11.4673 + 5.27990i −1.13543 + 0.522788i
\(103\) 7.66426 + 13.2749i 0.755182 + 1.30801i 0.945284 + 0.326250i \(0.105785\pi\)
−0.190101 + 0.981764i \(0.560882\pi\)
\(104\) 8.48902 5.47988i 0.832417 0.537346i
\(105\) 3.11671 4.40561i 0.304160 0.429943i
\(106\) 2.60510 + 1.50406i 0.253030 + 0.146087i
\(107\) −11.2550 −1.08806 −0.544030 0.839066i \(-0.683102\pi\)
−0.544030 + 0.839066i \(0.683102\pi\)
\(108\) 0.0458435 + 0.181592i 0.00441130 + 0.0174737i
\(109\) 7.04400i 0.674693i 0.941381 + 0.337347i \(0.109529\pi\)
−0.941381 + 0.337347i \(0.890471\pi\)
\(110\) 4.69932 + 2.71315i 0.448063 + 0.258689i
\(111\) −16.0171 11.3311i −1.52027 1.07550i
\(112\) 10.9842 6.34173i 1.03791 0.599237i
\(113\) −0.683608 1.18404i −0.0643084 0.111385i 0.832079 0.554658i \(-0.187151\pi\)
−0.896387 + 0.443272i \(0.853817\pi\)
\(114\) −2.53927 5.51498i −0.237824 0.516525i
\(115\) −6.77916 3.91395i −0.632160 0.364978i
\(116\) −0.0676039 −0.00627686
\(117\) −6.61633 + 8.55711i −0.611680 + 0.791105i
\(118\) 20.6091 1.89722
\(119\) −13.7831 7.95768i −1.26350 0.729480i
\(120\) 4.83327 + 0.446427i 0.441215 + 0.0407530i
\(121\) 1.73089 + 2.99800i 0.157354 + 0.272545i
\(122\) 8.08554 4.66819i 0.732030 0.422638i
\(123\) 1.12883 12.2213i 0.101783 1.10196i
\(124\) −0.0199624 0.0115253i −0.00179267 0.00103500i
\(125\) 1.00000i 0.0894427i
\(126\) −8.67162 + 10.1337i −0.772530 + 0.902781i
\(127\) −19.5367 −1.73360 −0.866802 0.498653i \(-0.833828\pi\)
−0.866802 + 0.498653i \(0.833828\pi\)
\(128\) 10.0544 + 5.80493i 0.888695 + 0.513089i
\(129\) −5.35949 11.6402i −0.471877 1.02486i
\(130\) −2.79022 4.32241i −0.244719 0.379100i
\(131\) 2.70268 + 4.68119i 0.236135 + 0.408997i 0.959602 0.281362i \(-0.0907860\pi\)
−0.723467 + 0.690359i \(0.757453\pi\)
\(132\) −0.193815 0.137113i −0.0168695 0.0119342i
\(133\) 3.82710 6.62874i 0.331852 0.574784i
\(134\) −1.04083 −0.0899142
\(135\) −5.03809 + 1.27188i −0.433609 + 0.109466i
\(136\) 14.3147i 1.22748i
\(137\) −7.29242 4.21028i −0.623033 0.359708i 0.155016 0.987912i \(-0.450457\pi\)
−0.778049 + 0.628204i \(0.783790\pi\)
\(138\) 15.7938 + 11.1732i 1.34445 + 0.951122i
\(139\) 1.05245 + 1.82289i 0.0892674 + 0.154616i 0.907202 0.420696i \(-0.138214\pi\)
−0.817934 + 0.575312i \(0.804881\pi\)
\(140\) −0.0561513 0.0972570i −0.00474565 0.00821971i
\(141\) −1.58203 + 0.728415i −0.133231 + 0.0613436i
\(142\) 7.36624 12.7587i 0.618161 1.07069i
\(143\) −0.680139 13.6945i −0.0568760 1.14520i
\(144\) −12.0058 2.23691i −1.00048 0.186410i
\(145\) 1.87560i 0.155760i
\(146\) −5.36388 + 9.29052i −0.443918 + 0.768889i
\(147\) −4.67009 0.431355i −0.385183 0.0355775i
\(148\) −0.353589 + 0.204144i −0.0290648 + 0.0167806i
\(149\) 0.752949 0.434715i 0.0616840 0.0356133i −0.468841 0.883283i \(-0.655328\pi\)
0.530525 + 0.847669i \(0.321995\pi\)
\(150\) 0.227310 2.46099i 0.0185598 0.200939i
\(151\) 11.6082 + 6.70202i 0.944665 + 0.545402i 0.891419 0.453179i \(-0.149710\pi\)
0.0532451 + 0.998581i \(0.483044\pi\)
\(152\) 6.88440 0.558398
\(153\) 5.10163 + 14.4501i 0.412442 + 1.16822i
\(154\) 16.9069i 1.36240i
\(155\) 0.319758 0.553836i 0.0256835 0.0444852i
\(156\) 0.104167 + 0.199540i 0.00834002 + 0.0159760i
\(157\) −4.13379 7.15993i −0.329912 0.571425i 0.652582 0.757718i \(-0.273686\pi\)
−0.982494 + 0.186293i \(0.940353\pi\)
\(158\) −18.1613 + 10.4854i −1.44484 + 0.834177i
\(159\) 2.10881 2.98090i 0.167240 0.236401i
\(160\) 0.101935 0.176557i 0.00805867 0.0139580i
\(161\) 24.3896i 1.92217i
\(162\) 12.6878 1.98488i 0.996846 0.155947i
\(163\) 3.63387i 0.284626i 0.989822 + 0.142313i \(0.0454540\pi\)
−0.989822 + 0.142313i \(0.954546\pi\)
\(164\) −0.221189 0.127703i −0.0172719 0.00997196i
\(165\) 3.80407 5.37722i 0.296146 0.418616i
\(166\) 0.830027 + 1.43765i 0.0644226 + 0.111583i
\(167\) −13.9161 + 8.03445i −1.07686 + 0.621724i −0.930047 0.367441i \(-0.880234\pi\)
−0.146811 + 0.989165i \(0.546901\pi\)
\(168\) −6.32499 13.7371i −0.487983 1.05984i
\(169\) −5.35248 + 11.8470i −0.411729 + 0.911306i
\(170\) −7.28871 −0.559019
\(171\) −6.94951 + 2.45353i −0.531442 + 0.187626i
\(172\) −0.266673 −0.0203337
\(173\) 8.03065 13.9095i 0.610559 1.05752i −0.380587 0.924745i \(-0.624278\pi\)
0.991146 0.132775i \(-0.0423887\pi\)
\(174\) −0.426343 + 4.61584i −0.0323210 + 0.349926i
\(175\) 2.69830 1.55786i 0.203972 0.117763i
\(176\) 13.4066 7.74033i 1.01056 0.583449i
\(177\) 2.30086 24.9104i 0.172943 1.87238i
\(178\) −1.64766 + 2.85384i −0.123498 + 0.213904i
\(179\) 5.73985 0.429016 0.214508 0.976722i \(-0.431185\pi\)
0.214508 + 0.976722i \(0.431185\pi\)
\(180\) −0.0198062 + 0.106302i −0.00147627 + 0.00792329i
\(181\) 3.45555 0.256849 0.128424 0.991719i \(-0.459008\pi\)
0.128424 + 0.991719i \(0.459008\pi\)
\(182\) −7.31637 + 14.2626i −0.542325 + 1.05721i
\(183\) −4.73980 10.2942i −0.350376 0.760973i
\(184\) −18.9977 + 10.9683i −1.40053 + 0.808597i
\(185\) −5.66379 9.80997i −0.416410 0.721243i
\(186\) −0.912812 + 1.29030i −0.0669306 + 0.0946094i
\(187\) −16.8228 9.71266i −1.23021 0.710260i
\(188\) 0.0362439i 0.00264336i
\(189\) 11.2806 + 11.6128i 0.820541 + 0.844710i
\(190\) 3.50537i 0.254306i
\(191\) 11.1660 19.3400i 0.807940 1.39939i −0.106348 0.994329i \(-0.533916\pi\)
0.914288 0.405065i \(-0.132751\pi\)
\(192\) 7.85315 11.1008i 0.566752 0.801130i
\(193\) −2.74053 + 1.58225i −0.197268 + 0.113892i −0.595380 0.803444i \(-0.702999\pi\)
0.398113 + 0.917336i \(0.369665\pi\)
\(194\) −11.4426 19.8192i −0.821534 1.42294i
\(195\) −5.53605 + 2.89001i −0.396445 + 0.206958i
\(196\) −0.0487989 + 0.0845222i −0.00348564 + 0.00603730i
\(197\) 0.561968i 0.0400385i 0.999800 + 0.0200193i \(0.00637276\pi\)
−0.999800 + 0.0200193i \(0.993627\pi\)
\(198\) −10.5841 + 12.3686i −0.752176 + 0.878995i
\(199\) 1.83634 0.130175 0.0650873 0.997880i \(-0.479267\pi\)
0.0650873 + 0.997880i \(0.479267\pi\)
\(200\) 2.42692 + 1.40118i 0.171609 + 0.0990787i
\(201\) −0.116202 + 1.25807i −0.00819623 + 0.0887371i
\(202\) −20.0312 + 11.5650i −1.40939 + 0.813714i
\(203\) −5.06094 + 2.92193i −0.355208 + 0.205080i
\(204\) 0.317544 + 0.0293301i 0.0222325 + 0.00205351i
\(205\) 3.54301 6.13667i 0.247454 0.428603i
\(206\) 21.8723i 1.52391i
\(207\) 15.2684 17.8427i 1.06123 1.24015i
\(208\) −14.6594 + 0.728056i −1.01644 + 0.0504816i
\(209\) 4.67113 8.09063i 0.323109 0.559640i
\(210\) −6.99460 + 3.22053i −0.482673 + 0.222238i
\(211\) 8.15159 + 14.1190i 0.561178 + 0.971989i 0.997394 + 0.0721473i \(0.0229852\pi\)
−0.436216 + 0.899842i \(0.643682\pi\)
\(212\) −0.0379928 0.0658055i −0.00260936 0.00451954i
\(213\) −14.5992 10.3281i −1.00032 0.707668i
\(214\) 13.9081 + 8.02987i 0.950741 + 0.548911i
\(215\) 7.39859i 0.504580i
\(216\) −3.97253 + 14.0092i −0.270296 + 0.953205i
\(217\) −1.99255 −0.135263
\(218\) 5.02554 8.70450i 0.340373 0.589543i
\(219\) 10.6307 + 7.52061i 0.718357 + 0.508195i
\(220\) −0.0685349 0.118706i −0.00462062 0.00800315i
\(221\) 9.98855 + 15.4735i 0.671903 + 1.04086i
\(222\) 11.7086 + 25.4296i 0.785830 + 1.70673i
\(223\) 8.18767 + 4.72716i 0.548287 + 0.316554i 0.748431 0.663213i \(-0.230808\pi\)
−0.200144 + 0.979767i \(0.564141\pi\)
\(224\) −0.635203 −0.0424413
\(225\) −2.94924 0.549504i −0.196616 0.0366336i
\(226\) 1.95088i 0.129771i
\(227\) −6.55357 3.78370i −0.434976 0.251133i 0.266488 0.963838i \(-0.414137\pi\)
−0.701464 + 0.712705i \(0.747470\pi\)
\(228\) −0.0141058 + 0.152717i −0.000934176 + 0.0101139i
\(229\) −5.52977 + 3.19261i −0.365417 + 0.210974i −0.671455 0.741046i \(-0.734330\pi\)
0.306037 + 0.952020i \(0.400997\pi\)
\(230\) 5.58482 + 9.67319i 0.368252 + 0.637831i
\(231\) −20.4356 1.88754i −1.34456 0.124191i
\(232\) −4.55195 2.62807i −0.298850 0.172541i
\(233\) 27.9712 1.83245 0.916226 0.400662i \(-0.131220\pi\)
0.916226 + 0.400662i \(0.131220\pi\)
\(234\) 14.2811 5.85387i 0.933584 0.382679i
\(235\) −1.00555 −0.0655949
\(236\) −0.450844 0.260295i −0.0293474 0.0169438i
\(237\) 10.6463 + 23.1224i 0.691550 + 1.50196i
\(238\) 11.3548 + 19.6671i 0.736024 + 1.27483i
\(239\) 14.0126 8.09017i 0.906399 0.523310i 0.0271283 0.999632i \(-0.491364\pi\)
0.879271 + 0.476322i \(0.158030\pi\)
\(240\) −5.75606 4.07207i −0.371552 0.262851i
\(241\) 12.9503 + 7.47688i 0.834204 + 0.481628i 0.855290 0.518150i \(-0.173379\pi\)
−0.0210859 + 0.999778i \(0.506712\pi\)
\(242\) 4.93963i 0.317531i
\(243\) −0.982647 15.5575i −0.0630369 0.998011i
\(244\) −0.235839 −0.0150980
\(245\) −2.34499 1.35388i −0.149816 0.0864961i
\(246\) −10.1142 + 14.2969i −0.644859 + 0.911537i
\(247\) −7.44171 + 4.80381i −0.473505 + 0.305659i
\(248\) −0.896079 1.55205i −0.0569011 0.0985555i
\(249\) 1.83037 0.842760i 0.115995 0.0534077i
\(250\) 0.713450 1.23573i 0.0451225 0.0781545i
\(251\) −7.03296 −0.443916 −0.221958 0.975056i \(-0.571245\pi\)
−0.221958 + 0.975056i \(0.571245\pi\)
\(252\) 0.317690 0.112161i 0.0200126 0.00706548i
\(253\) 29.7685i 1.87153i
\(254\) 24.1421 + 13.9385i 1.51481 + 0.874578i
\(255\) −0.813734 + 8.80994i −0.0509580 + 0.551700i
\(256\) −0.432386 0.748915i −0.0270241 0.0468072i
\(257\) 0.216823 + 0.375549i 0.0135251 + 0.0234261i 0.872709 0.488241i \(-0.162361\pi\)
−0.859184 + 0.511667i \(0.829028\pi\)
\(258\) −1.68177 + 18.2078i −0.104703 + 1.13357i
\(259\) −17.6468 + 30.5652i −1.09652 + 1.89923i
\(260\) 0.00644640 + 0.129798i 0.000399789 + 0.00804972i
\(261\) 5.53161 + 1.03065i 0.342398 + 0.0637957i
\(262\) 7.71292i 0.476506i
\(263\) −6.57908 + 11.3953i −0.405684 + 0.702665i −0.994401 0.105674i \(-0.966300\pi\)
0.588717 + 0.808339i \(0.299633\pi\)
\(264\) −7.71989 16.7666i −0.475126 1.03192i
\(265\) 1.82571 1.05407i 0.112152 0.0647512i
\(266\) −9.45854 + 5.46089i −0.579940 + 0.334829i
\(267\) 3.26551 + 2.31016i 0.199846 + 0.141379i
\(268\) 0.0227692 + 0.0131458i 0.00139085 + 0.000803009i
\(269\) 24.0531 1.46654 0.733272 0.679935i \(-0.237992\pi\)
0.733272 + 0.679935i \(0.237992\pi\)
\(270\) 7.13315 + 2.02272i 0.434110 + 0.123099i
\(271\) 18.0317i 1.09535i −0.836692 0.547673i \(-0.815514\pi\)
0.836692 0.547673i \(-0.184486\pi\)
\(272\) −10.3969 + 18.0080i −0.630407 + 1.09190i
\(273\) 16.4225 + 10.4357i 0.993936 + 0.631596i
\(274\) 6.00765 + 10.4055i 0.362935 + 0.628622i
\(275\) 3.29338 1.90143i 0.198598 0.114661i
\(276\) −0.204386 0.443901i −0.0123026 0.0267197i
\(277\) −10.4898 + 18.1689i −0.630271 + 1.09166i 0.357225 + 0.934018i \(0.383723\pi\)
−0.987496 + 0.157643i \(0.949610\pi\)
\(278\) 3.00347i 0.180136i
\(279\) 1.45769 + 1.24738i 0.0872697 + 0.0746786i
\(280\) 8.73142i 0.521802i
\(281\) 20.2396 + 11.6854i 1.20740 + 0.697091i 0.962190 0.272380i \(-0.0878109\pi\)
0.245207 + 0.969471i \(0.421144\pi\)
\(282\) 2.47465 + 0.228572i 0.147363 + 0.0136113i
\(283\) −0.511049 0.885163i −0.0303787 0.0526175i 0.850436 0.526078i \(-0.176338\pi\)
−0.880815 + 0.473460i \(0.843005\pi\)
\(284\) −0.322288 + 0.186073i −0.0191242 + 0.0110414i
\(285\) −4.23698 0.391350i −0.250977 0.0231816i
\(286\) −8.92991 + 17.4080i −0.528036 + 1.02936i
\(287\) −22.0781 −1.30323
\(288\) 0.464695 + 0.397650i 0.0273824 + 0.0234317i
\(289\) 9.09242 0.534848
\(290\) −1.33815 + 2.31774i −0.0785788 + 0.136103i
\(291\) −25.2332 + 11.6182i −1.47920 + 0.681069i
\(292\) 0.234681 0.135493i 0.0137336 0.00792912i
\(293\) −7.17020 + 4.13971i −0.418887 + 0.241845i −0.694601 0.719395i \(-0.744419\pi\)
0.275714 + 0.961240i \(0.411086\pi\)
\(294\) 5.46323 + 3.86492i 0.318622 + 0.225406i
\(295\) 7.22162 12.5082i 0.420459 0.728257i
\(296\) −31.7440 −1.84509
\(297\) 13.7684 + 14.1739i 0.798922 + 0.822454i
\(298\) −1.24059 −0.0718655
\(299\) 12.8821 25.1125i 0.744993 1.45230i
\(300\) −0.0360552 + 0.0509656i −0.00208165 + 0.00294250i
\(301\) −19.9636 + 11.5260i −1.15068 + 0.664347i
\(302\) −9.56311 16.5638i −0.550295 0.953139i
\(303\) 11.7424 + 25.5031i 0.674586 + 1.46512i
\(304\) −8.66064 5.00022i −0.496722 0.286782i
\(305\) 6.54312i 0.374658i
\(306\) 4.00518 21.4962i 0.228961 1.22886i
\(307\) 7.02592i 0.400991i −0.979695 0.200495i \(-0.935745\pi\)
0.979695 0.200495i \(-0.0642551\pi\)
\(308\) −0.213536 + 0.369855i −0.0121673 + 0.0210745i
\(309\) −26.4373 2.44189i −1.50396 0.138914i
\(310\) −0.790269 + 0.456262i −0.0448843 + 0.0259139i
\(311\) 12.0009 + 20.7862i 0.680509 + 1.17868i 0.974826 + 0.222968i \(0.0715744\pi\)
−0.294317 + 0.955708i \(0.595092\pi\)
\(312\) −0.743208 + 17.4850i −0.0420759 + 0.989893i
\(313\) 2.55490 4.42522i 0.144412 0.250128i −0.784742 0.619823i \(-0.787204\pi\)
0.929153 + 0.369695i \(0.120538\pi\)
\(314\) 11.7970i 0.665744i
\(315\) 3.11179 + 8.81400i 0.175330 + 0.496612i
\(316\) 0.529729 0.0297996
\(317\) −24.9621 14.4119i −1.40201 0.809452i −0.407413 0.913244i \(-0.633569\pi\)
−0.994599 + 0.103792i \(0.966903\pi\)
\(318\) −4.73265 + 2.17906i −0.265394 + 0.122196i
\(319\) −6.17707 + 3.56633i −0.345850 + 0.199676i
\(320\) 6.79888 3.92534i 0.380069 0.219433i
\(321\) 11.2585 15.9144i 0.628390 0.888258i
\(322\) 17.4008 30.1390i 0.969707 1.67958i
\(323\) 12.5487i 0.698227i
\(324\) −0.302627 0.116827i −0.0168126 0.00649038i
\(325\) −3.60111 + 0.178849i −0.199754 + 0.00992076i
\(326\) 2.59258 4.49048i 0.143590 0.248705i
\(327\) −9.96015 7.04623i −0.550798 0.389657i
\(328\) −9.92881 17.1972i −0.548227 0.949557i
\(329\) 1.56651 + 2.71328i 0.0863646 + 0.149588i
\(330\) −8.53718 + 3.93079i −0.469956 + 0.216383i
\(331\) 22.0578 + 12.7350i 1.21240 + 0.699982i 0.963282 0.268491i \(-0.0865249\pi\)
0.249121 + 0.968472i \(0.419858\pi\)
\(332\) 0.0419334i 0.00230139i
\(333\) 32.0443 11.3133i 1.75602 0.619964i
\(334\) 22.9287 1.25460
\(335\) −0.364718 + 0.631710i −0.0199267 + 0.0345140i
\(336\) −2.02052 + 21.8753i −0.110228 + 1.19340i
\(337\) −12.4843 21.6234i −0.680063 1.17790i −0.974961 0.222375i \(-0.928619\pi\)
0.294898 0.955529i \(-0.404714\pi\)
\(338\) 15.0665 10.8210i 0.819507 0.588583i
\(339\) 2.35805 + 0.217802i 0.128072 + 0.0118294i
\(340\) 0.159448 + 0.0920572i 0.00864727 + 0.00499250i
\(341\) −2.43199 −0.131700
\(342\) 10.3382 + 1.92622i 0.559026 + 0.104158i
\(343\) 13.3735i 0.722099i
\(344\) −17.9558 10.3668i −0.968112 0.558940i
\(345\) 12.3156 5.67049i 0.663049 0.305289i
\(346\) −19.8475 + 11.4589i −1.06701 + 0.616037i
\(347\) −0.109883 0.190323i −0.00589882 0.0102170i 0.863061 0.505100i \(-0.168544\pi\)
−0.868960 + 0.494883i \(0.835211\pi\)
\(348\) 0.0676252 0.0955913i 0.00362509 0.00512423i
\(349\) −3.19946 1.84721i −0.171263 0.0988788i 0.411918 0.911221i \(-0.364859\pi\)
−0.583181 + 0.812342i \(0.698192\pi\)
\(350\) −4.44583 −0.237640
\(351\) −5.48125 17.9152i −0.292568 0.956245i
\(352\) −0.775290 −0.0413231
\(353\) −0.391714 0.226156i −0.0208488 0.0120371i 0.489539 0.871981i \(-0.337165\pi\)
−0.510388 + 0.859944i \(0.670498\pi\)
\(354\) −20.6156 + 29.1410i −1.09571 + 1.54883i
\(355\) −5.16241 8.94155i −0.273992 0.474568i
\(356\) 0.0720886 0.0416204i 0.00382069 0.00220587i
\(357\) 25.0395 11.5290i 1.32523 0.610179i
\(358\) −7.09291 4.09509i −0.374872 0.216432i
\(359\) 11.8460i 0.625207i −0.949884 0.312603i \(-0.898799\pi\)
0.949884 0.312603i \(-0.101201\pi\)
\(360\) −5.46604 + 6.38763i −0.288086 + 0.336658i
\(361\) 12.9649 0.682366
\(362\) −4.27013 2.46536i −0.224433 0.129576i
\(363\) −5.97058 0.551475i −0.313374 0.0289449i
\(364\) 0.340191 0.219602i 0.0178308 0.0115103i
\(365\) 3.75912 + 6.51098i 0.196761 + 0.340800i
\(366\) −1.48732 + 16.1025i −0.0777433 + 0.841693i
\(367\) 9.84909 17.0591i 0.514118 0.890479i −0.485748 0.874099i \(-0.661453\pi\)
0.999866 0.0163799i \(-0.00521412\pi\)
\(368\) 31.8657 1.66112
\(369\) 16.1516 + 13.8213i 0.840821 + 0.719509i
\(370\) 16.1633i 0.840291i
\(371\) −5.68841 3.28420i −0.295327 0.170507i
\(372\) 0.0362653 0.0166977i 0.00188027 0.000865735i
\(373\) 4.89975 + 8.48661i 0.253699 + 0.439420i 0.964541 0.263932i \(-0.0850193\pi\)
−0.710842 + 0.703352i \(0.751686\pi\)
\(374\) 13.8590 + 24.0045i 0.716632 + 1.24124i
\(375\) −1.41399 1.00032i −0.0730182 0.0516561i
\(376\) −1.40896 + 2.44040i −0.0726617 + 0.125854i
\(377\) 6.75426 0.335450i 0.347862 0.0172765i
\(378\) −5.65458 22.3985i −0.290840 1.15205i
\(379\) 11.8049i 0.606375i 0.952931 + 0.303187i \(0.0980508\pi\)
−0.952931 + 0.303187i \(0.901949\pi\)
\(380\) −0.0442732 + 0.0766835i −0.00227117 + 0.00393378i
\(381\) 19.5429 27.6247i 1.00121 1.41526i
\(382\) −27.5963 + 15.9327i −1.41195 + 0.815188i
\(383\) 21.7194 12.5397i 1.10981 0.640749i 0.171029 0.985266i \(-0.445291\pi\)
0.938780 + 0.344517i \(0.111957\pi\)
\(384\) −18.2657 + 8.41012i −0.932119 + 0.429177i
\(385\) −10.2613 5.92435i −0.522963 0.301933i
\(386\) 4.51541 0.229828
\(387\) 21.8203 + 4.06556i 1.10919 + 0.206664i
\(388\) 0.578087i 0.0293479i
\(389\) −6.92628 + 11.9967i −0.351176 + 0.608255i −0.986456 0.164027i \(-0.947551\pi\)
0.635280 + 0.772282i \(0.280885\pi\)
\(390\) 8.90295 + 0.378424i 0.450818 + 0.0191622i
\(391\) −19.9928 34.6285i −1.01108 1.75124i
\(392\) −6.57151 + 3.79407i −0.331912 + 0.191629i
\(393\) −9.32269 0.861094i −0.470268 0.0434364i
\(394\) 0.400936 0.694441i 0.0201989 0.0349854i
\(395\) 14.6968i 0.739477i
\(396\) 0.387753 0.136897i 0.0194853 0.00687932i
\(397\) 36.6002i 1.83691i 0.395525 + 0.918455i \(0.370563\pi\)
−0.395525 + 0.918455i \(0.629437\pi\)
\(398\) −2.26922 1.31014i −0.113746 0.0656712i
\(399\) 5.54466 + 12.0423i 0.277580 + 0.602870i
\(400\) −2.03539 3.52541i −0.101770 0.176270i
\(401\) 16.0606 9.27259i 0.802028 0.463051i −0.0421519 0.999111i \(-0.513421\pi\)
0.844180 + 0.536060i \(0.180088\pi\)
\(402\) 1.04116 1.47173i 0.0519284 0.0734031i
\(403\) 2.05162 + 1.05243i 0.102198 + 0.0524253i
\(404\) 0.584271 0.0290686
\(405\) 3.24124 8.39609i 0.161059 0.417205i
\(406\) 8.33862 0.413839
\(407\) −21.5386 + 37.3060i −1.06763 + 1.84919i
\(408\) 20.2409 + 14.3192i 1.00207 + 0.708907i
\(409\) −4.02574 + 2.32426i −0.199060 + 0.114927i −0.596217 0.802823i \(-0.703330\pi\)
0.397157 + 0.917751i \(0.369997\pi\)
\(410\) −8.75641 + 5.05552i −0.432448 + 0.249674i
\(411\) 13.2480 6.09980i 0.653476 0.300881i
\(412\) −0.276249 + 0.478478i −0.0136098 + 0.0235729i
\(413\) −45.0012 −2.21437
\(414\) −31.5975 + 11.1555i −1.55293 + 0.548265i
\(415\) 1.16340 0.0571090
\(416\) 0.654031 + 0.335502i 0.0320665 + 0.0164494i
\(417\) −3.63033 0.335317i −0.177778 0.0164205i
\(418\) −11.5445 + 6.66523i −0.564661 + 0.326007i
\(419\) −18.5997 32.2156i −0.908653 1.57383i −0.815937 0.578140i \(-0.803779\pi\)
−0.0927157 0.995693i \(-0.529555\pi\)
\(420\) 0.193689 + 0.0178902i 0.00945108 + 0.000872952i
\(421\) −9.43320 5.44626i −0.459746 0.265435i 0.252191 0.967677i \(-0.418849\pi\)
−0.711938 + 0.702243i \(0.752182\pi\)
\(422\) 23.2630i 1.13243i
\(423\) 0.552555 2.96562i 0.0268661 0.144193i
\(424\) 5.90780i 0.286908i
\(425\) −2.55404 + 4.42372i −0.123889 + 0.214582i
\(426\) 10.6721 + 23.1785i 0.517066 + 1.12300i
\(427\) −17.6553 + 10.1933i −0.854399 + 0.493288i
\(428\) −0.202836 0.351323i −0.00980446 0.0169818i
\(429\) 20.0443 + 12.7372i 0.967749 + 0.614956i
\(430\) −5.27852 + 9.14267i −0.254553 + 0.440899i
\(431\) 23.5648i 1.13507i −0.823348 0.567537i \(-0.807896\pi\)
0.823348 0.567537i \(-0.192104\pi\)
\(432\) 15.1725 14.7384i 0.729988 0.709102i
\(433\) −14.1222 −0.678670 −0.339335 0.940666i \(-0.610202\pi\)
−0.339335 + 0.940666i \(0.610202\pi\)
\(434\) 2.46226 + 1.42159i 0.118192 + 0.0682384i
\(435\) 2.65209 + 1.87620i 0.127158 + 0.0899567i
\(436\) −0.219878 + 0.126946i −0.0105302 + 0.00607963i
\(437\) 16.6539 9.61515i 0.796665 0.459955i
\(438\) −7.77113 16.8779i −0.371319 0.806459i
\(439\) 5.21082 9.02540i 0.248699 0.430759i −0.714466 0.699670i \(-0.753330\pi\)
0.963165 + 0.268911i \(0.0866638\pi\)
\(440\) 10.6570i 0.508054i
\(441\) 5.28150 6.17197i 0.251500 0.293904i
\(442\) −1.30358 26.2475i −0.0620049 1.24846i
\(443\) −1.73677 + 3.00818i −0.0825166 + 0.142923i −0.904330 0.426833i \(-0.859629\pi\)
0.821814 + 0.569756i \(0.192962\pi\)
\(444\) 0.0650418 0.704180i 0.00308675 0.0334189i
\(445\) 1.15472 + 2.00003i 0.0547388 + 0.0948103i
\(446\) −6.74518 11.6830i −0.319393 0.553206i
\(447\) −0.138503 + 1.49952i −0.00655098 + 0.0709247i
\(448\) −21.1835 12.2303i −1.00082 0.577826i
\(449\) 1.71863i 0.0811073i −0.999177 0.0405537i \(-0.987088\pi\)
0.999177 0.0405537i \(-0.0129122\pi\)
\(450\) 3.25243 + 2.78318i 0.153321 + 0.131200i
\(451\) −26.9472 −1.26889
\(452\) 0.0246398 0.0426774i 0.00115896 0.00200738i
\(453\) −21.0885 + 9.70980i −0.990823 + 0.456206i
\(454\) 5.39897 + 9.35129i 0.253386 + 0.438878i
\(455\) 6.09263 + 9.43826i 0.285627 + 0.442472i
\(456\) −6.88657 + 9.73447i −0.322493 + 0.455858i
\(457\) 16.6057 + 9.58730i 0.776782 + 0.448475i 0.835289 0.549812i \(-0.185301\pi\)
−0.0585068 + 0.998287i \(0.518634\pi\)
\(458\) 9.11108 0.425733
\(459\) −25.5355 7.24100i −1.19190 0.337981i
\(460\) 0.282147i 0.0131552i
\(461\) −9.02588 5.21109i −0.420377 0.242705i 0.274862 0.961484i \(-0.411368\pi\)
−0.695239 + 0.718779i \(0.744701\pi\)
\(462\) 23.9062 + 16.9122i 1.11222 + 0.786828i
\(463\) 11.2122 6.47338i 0.521076 0.300843i −0.216299 0.976327i \(-0.569399\pi\)
0.737375 + 0.675484i \(0.236065\pi\)
\(464\) 3.81759 + 6.61226i 0.177227 + 0.306967i
\(465\) 0.463261 + 1.00615i 0.0214832 + 0.0466589i
\(466\) −34.5648 19.9560i −1.60119 0.924445i
\(467\) 26.2184 1.21324 0.606621 0.794991i \(-0.292525\pi\)
0.606621 + 0.794991i \(0.292525\pi\)
\(468\) −0.386348 0.0523124i −0.0178589 0.00241814i
\(469\) 2.27272 0.104945
\(470\) 1.24259 + 0.717411i 0.0573165 + 0.0330917i
\(471\) 14.2592 + 1.31705i 0.657028 + 0.0606866i
\(472\) −20.2377 35.0527i −0.931514 1.61343i
\(473\) −24.3664 + 14.0679i −1.12037 + 0.646844i
\(474\) 3.34073 36.1687i 0.153445 1.66128i
\(475\) −2.12751 1.22832i −0.0976168 0.0563591i
\(476\) 0.573650i 0.0262932i
\(477\) 2.10549 + 5.96368i 0.0964035 + 0.273058i
\(478\) −23.0877 −1.05601
\(479\) 16.2297 + 9.37020i 0.741552 + 0.428135i 0.822633 0.568572i \(-0.192504\pi\)
−0.0810814 + 0.996707i \(0.525837\pi\)
\(480\) 0.147682 + 0.320747i 0.00674074 + 0.0146400i
\(481\) 34.3138 22.1504i 1.56458 1.00997i
\(482\) −10.6688 18.4788i −0.485948 0.841687i
\(483\) −34.4867 24.3973i −1.56920 1.11012i
\(484\) −0.0623880 + 0.108059i −0.00283582 + 0.00491178i
\(485\) −16.0385 −0.728269
\(486\) −9.88518 + 19.9259i −0.448401 + 0.903858i
\(487\) 20.7313i 0.939427i −0.882819 0.469713i \(-0.844357\pi\)
0.882819 0.469713i \(-0.155643\pi\)
\(488\) −15.8796 9.16812i −0.718838 0.415021i
\(489\) −5.13825 3.63501i −0.232360 0.164381i
\(490\) 1.93185 + 3.34606i 0.0872720 + 0.151160i
\(491\) −4.74496 8.21851i −0.214137 0.370896i 0.738868 0.673850i \(-0.235361\pi\)
−0.953005 + 0.302954i \(0.902027\pi\)
\(492\) 0.401830 0.185015i 0.0181159 0.00834113i
\(493\) 4.79036 8.29715i 0.215747 0.373685i
\(494\) 12.6232 0.626932i 0.567946 0.0282070i
\(495\) 3.79807 + 10.7578i 0.170710 + 0.483528i
\(496\) 2.60333i 0.116893i
\(497\) −16.0846 + 27.8594i −0.721495 + 1.24967i
\(498\) −2.86311 0.264452i −0.128299 0.0118504i
\(499\) 6.27678 3.62390i 0.280987 0.162228i −0.352883 0.935667i \(-0.614799\pi\)
0.633870 + 0.773439i \(0.281465\pi\)
\(500\) −0.0312149 + 0.0180219i −0.00139597 + 0.000805964i
\(501\) 2.55983 27.7142i 0.114365 1.23818i
\(502\) 8.69085 + 5.01766i 0.387892 + 0.223949i
\(503\) −27.0218 −1.20484 −0.602420 0.798179i \(-0.705797\pi\)
−0.602420 + 0.798179i \(0.705797\pi\)
\(504\) 25.7511 + 4.79795i 1.14704 + 0.213718i
\(505\) 16.2100i 0.721337i
\(506\) 21.2383 36.7858i 0.944158 1.63533i
\(507\) −11.3974 19.4191i −0.506174 0.862431i
\(508\) −0.352089 0.609836i −0.0156214 0.0270571i
\(509\) −26.9017 + 15.5317i −1.19240 + 0.688430i −0.958849 0.283915i \(-0.908366\pi\)
−0.233547 + 0.972346i \(0.575033\pi\)
\(510\) 7.29101 10.3062i 0.322851 0.456365i
\(511\) 11.7124 20.2864i 0.518125 0.897419i
\(512\) 21.9858i 0.971644i
\(513\) 3.48243 12.2808i 0.153753 0.542213i
\(514\) 0.618770i 0.0272928i
\(515\) −13.2749 7.66426i −0.584962 0.337728i
\(516\) 0.266758 0.377074i 0.0117433 0.0165997i
\(517\) 1.91199 + 3.31166i 0.0840891 + 0.145647i
\(518\) 43.6135 25.1802i 1.91627 1.10636i
\(519\) 11.6347 + 25.2692i 0.510707 + 1.10919i
\(520\) −4.61177 + 8.99022i −0.202240 + 0.394247i
\(521\) 4.61210 0.202060 0.101030 0.994883i \(-0.467786\pi\)
0.101030 + 0.994883i \(0.467786\pi\)
\(522\) −6.10027 5.22014i −0.267002 0.228479i
\(523\) 33.5698 1.46790 0.733951 0.679202i \(-0.237674\pi\)
0.733951 + 0.679202i \(0.237674\pi\)
\(524\) −0.0974151 + 0.168728i −0.00425560 + 0.00737091i
\(525\) −0.496346 + 5.37372i −0.0216623 + 0.234529i
\(526\) 16.2600 9.38770i 0.708968 0.409323i
\(527\) 2.82904 1.63335i 0.123235 0.0711496i
\(528\) −2.46612 + 26.6996i −0.107324 + 1.16195i
\(529\) −19.1380 + 33.1480i −0.832088 + 1.44122i
\(530\) −3.00811 −0.130664
\(531\) 32.9215 + 28.1717i 1.42867 + 1.22255i
\(532\) 0.275887 0.0119612
\(533\) 22.7325 + 11.6612i 0.984654 + 0.505104i
\(534\) −2.38712 5.18452i −0.103301 0.224356i
\(535\) 9.74710 5.62749i 0.421404 0.243298i
\(536\) 1.02207 + 1.77028i 0.0441469 + 0.0764647i
\(537\) −5.74166 + 8.11609i −0.247771 + 0.350235i
\(538\) −29.7232 17.1607i −1.28146 0.739850i
\(539\) 10.2972i 0.443533i
\(540\) −0.130498 0.134341i −0.00561572 0.00578113i
\(541\) 10.2265i 0.439673i 0.975537 + 0.219837i \(0.0705524\pi\)
−0.975537 + 0.219837i \(0.929448\pi\)
\(542\) −12.8647 + 22.2823i −0.552586 + 0.957108i
\(543\) −3.45664 + 4.88611i −0.148339 + 0.209683i
\(544\) 0.901864 0.520691i 0.0386671 0.0223245i
\(545\) −3.52200 6.10029i −0.150866 0.261308i
\(546\) −12.8485 24.6124i −0.549864 1.05331i
\(547\) −1.80249 + 3.12200i −0.0770687 + 0.133487i −0.901984 0.431769i \(-0.857889\pi\)
0.824915 + 0.565256i \(0.191223\pi\)
\(548\) 0.303509i 0.0129653i
\(549\) 19.2973 + 3.59547i 0.823587 + 0.153451i
\(550\) −5.42631 −0.231379
\(551\) 3.99036 + 2.30384i 0.169995 + 0.0981467i
\(552\) 3.49459 37.8344i 0.148739 1.61034i
\(553\) 39.6564 22.8956i 1.68636 0.973621i
\(554\) 25.9252 14.9679i 1.10145 0.635925i
\(555\) 19.5368 + 1.80452i 0.829290 + 0.0765976i
\(556\) −0.0379342 + 0.0657040i −0.00160877 + 0.00278647i
\(557\) 7.30287i 0.309433i 0.987959 + 0.154716i \(0.0494464\pi\)
−0.987959 + 0.154716i \(0.950554\pi\)
\(558\) −0.911373 2.58142i −0.0385815 0.109280i
\(559\) 26.6432 1.32323i 1.12689 0.0559667i
\(560\) −6.34173 + 10.9842i −0.267987 + 0.464167i
\(561\) 30.5617 14.0716i 1.29032 0.594103i
\(562\) −16.6739 28.8800i −0.703344 1.21823i
\(563\) −9.97539 17.2779i −0.420413 0.728176i 0.575567 0.817755i \(-0.304781\pi\)
−0.995980 + 0.0895785i \(0.971448\pi\)
\(564\) −0.0512485 0.0362553i −0.00215795 0.00152662i
\(565\) 1.18404 + 0.683608i 0.0498131 + 0.0287596i
\(566\) 1.45843i 0.0613025i
\(567\) −27.7046 + 4.33412i −1.16348 + 0.182016i
\(568\) −28.9339 −1.21404
\(569\) −8.62999 + 14.9476i −0.361788 + 0.626635i −0.988255 0.152813i \(-0.951167\pi\)
0.626467 + 0.779448i \(0.284500\pi\)
\(570\) 4.95656 + 3.50648i 0.207608 + 0.146870i
\(571\) 12.2674 + 21.2477i 0.513374 + 0.889190i 0.999880 + 0.0155125i \(0.00493799\pi\)
−0.486506 + 0.873677i \(0.661729\pi\)
\(572\) 0.415216 0.268032i 0.0173611 0.0112070i
\(573\) 16.1771 + 35.1347i 0.675808 + 1.46777i
\(574\) 27.2826 + 15.7516i 1.13875 + 0.657459i
\(575\) 7.82790 0.326446
\(576\) 7.84077 + 22.2086i 0.326699 + 0.925357i
\(577\) 18.7207i 0.779353i −0.920952 0.389677i \(-0.872587\pi\)
0.920952 0.389677i \(-0.127413\pi\)
\(578\) −11.2358 6.48699i −0.467348 0.269823i
\(579\) 0.504114 5.45783i 0.0209503 0.226819i
\(580\) 0.0585467 0.0338020i 0.00243102 0.00140355i
\(581\) −1.81242 3.13920i −0.0751918 0.130236i
\(582\) 39.4705 + 3.64570i 1.63610 + 0.151119i
\(583\) −6.94292 4.00850i −0.287546 0.166015i
\(584\) 21.0689 0.871836
\(585\) 1.45136 10.7188i 0.0600062 0.443170i
\(586\) 11.8139 0.488028
\(587\) 5.49088 + 3.17016i 0.226633 + 0.130847i 0.609018 0.793157i \(-0.291564\pi\)
−0.382385 + 0.924003i \(0.624897\pi\)
\(588\) −0.0706993 0.153550i −0.00291559 0.00633230i
\(589\) 0.785528 + 1.36057i 0.0323671 + 0.0560615i
\(590\) −17.8480 + 10.3045i −0.734790 + 0.424231i
\(591\) −0.794617 0.562145i −0.0326862 0.0231235i
\(592\) 39.9343 + 23.0561i 1.64129 + 0.947599i
\(593\) 46.9160i 1.92661i −0.268411 0.963304i \(-0.586499\pi\)
0.268411 0.963304i \(-0.413501\pi\)
\(594\) −6.90163 27.3382i −0.283177 1.12170i
\(595\) 15.9154 0.652466
\(596\) 0.0271392 + 0.0156688i 0.00111166 + 0.000641819i
\(597\) −1.83692 + 2.59657i −0.0751800 + 0.106270i
\(598\) −33.8354 + 21.8416i −1.38363 + 0.893169i
\(599\) 1.84932 + 3.20312i 0.0755613 + 0.130876i 0.901330 0.433133i \(-0.142592\pi\)
−0.825769 + 0.564009i \(0.809258\pi\)
\(600\) −4.40895 + 2.03002i −0.179995 + 0.0828752i
\(601\) 13.4947 23.3735i 0.550460 0.953425i −0.447781 0.894143i \(-0.647786\pi\)
0.998241 0.0592818i \(-0.0188811\pi\)
\(602\) 32.8929 1.34061
\(603\) −1.66265 1.42277i −0.0677085 0.0579397i
\(604\) 0.483132i 0.0196584i
\(605\) −2.99800 1.73089i −0.121886 0.0703709i
\(606\) 3.68470 39.8927i 0.149681 1.62053i
\(607\) 1.34991 + 2.33811i 0.0547911 + 0.0949010i 0.892120 0.451798i \(-0.149217\pi\)
−0.837329 + 0.546699i \(0.815884\pi\)
\(608\) 0.250417 + 0.433735i 0.0101557 + 0.0175903i
\(609\) 0.930948 10.0790i 0.0377239 0.408421i
\(610\) −4.66819 + 8.08554i −0.189009 + 0.327374i
\(611\) −0.179842 3.62110i −0.00727562 0.146494i
\(612\) −0.359117 + 0.419665i −0.0145164 + 0.0169639i
\(613\) 27.7909i 1.12246i 0.827659 + 0.561232i \(0.189672\pi\)
−0.827659 + 0.561232i \(0.810328\pi\)
\(614\) −5.01264 + 8.68215i −0.202294 + 0.350383i
\(615\) 5.13306 + 11.1484i 0.206985 + 0.449546i
\(616\) −28.7559 + 16.6022i −1.15861 + 0.668922i
\(617\) −21.4742 + 12.3981i −0.864518 + 0.499130i −0.865523 0.500870i \(-0.833014\pi\)
0.00100438 + 0.999999i \(0.499680\pi\)
\(618\) 30.9272 + 21.8792i 1.24407 + 0.880110i
\(619\) −13.2436 7.64617i −0.532304 0.307326i 0.209650 0.977776i \(-0.432767\pi\)
−0.741954 + 0.670451i \(0.766101\pi\)
\(620\) 0.0230506 0.000925733
\(621\) 9.95618 + 39.4377i 0.399528 + 1.58258i
\(622\) 34.2482i 1.37323i
\(623\) 3.59778 6.23154i 0.144142 0.249661i
\(624\) 13.6345 21.4565i 0.545818 0.858947i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −6.31434 + 3.64559i −0.252372 + 0.145707i
\(627\) 6.76747 + 14.6981i 0.270267 + 0.586986i
\(628\) 0.148998 0.258071i 0.00594565 0.0102982i
\(629\) 57.8621i 2.30711i
\(630\) 2.44300 13.1118i 0.0973315 0.522388i
\(631\) 41.4253i 1.64911i −0.565779 0.824557i \(-0.691424\pi\)
0.565779 0.824557i \(-0.308576\pi\)
\(632\) 35.6680 + 20.5929i 1.41880 + 0.819143i
\(633\) −28.1182 2.59715i −1.11760 0.103227i
\(634\) 20.5643 + 35.6185i 0.816714 + 1.41459i
\(635\) 16.9193 9.76836i 0.671422 0.387646i
\(636\) 0.131053 + 0.0121048i 0.00519659 + 0.000479985i
\(637\) 4.45607 8.68670i 0.176556 0.344179i
\(638\) 10.1776 0.402935
\(639\) 29.2076 10.3118i 1.15543 0.407928i
\(640\) −11.6099 −0.458920
\(641\) 1.51495 2.62398i 0.0598370 0.103641i −0.834555 0.550924i \(-0.814275\pi\)
0.894392 + 0.447284i \(0.147609\pi\)
\(642\) −25.2667 + 11.6336i −0.997197 + 0.459141i
\(643\) 12.2396 7.06653i 0.482682 0.278677i −0.238852 0.971056i \(-0.576771\pi\)
0.721533 + 0.692380i \(0.243438\pi\)
\(644\) −0.761318 + 0.439547i −0.0300001 + 0.0173206i
\(645\) 10.4615 + 7.40092i 0.411923 + 0.291411i
\(646\) 8.95285 15.5068i 0.352245 0.610107i
\(647\) 2.49987 0.0982801 0.0491400 0.998792i \(-0.484352\pi\)
0.0491400 + 0.998792i \(0.484352\pi\)
\(648\) −15.8351 19.6307i −0.622061 0.771168i
\(649\) −54.9257 −2.15602
\(650\) 4.57761 + 2.34820i 0.179549 + 0.0921042i
\(651\) 1.99318 2.81745i 0.0781190 0.110425i
\(652\) −0.113431 + 0.0654892i −0.00444228 + 0.00256475i
\(653\) −21.8454 37.8374i −0.854878 1.48069i −0.876758 0.480932i \(-0.840298\pi\)
0.0218798 0.999761i \(-0.493035\pi\)
\(654\) 7.28095 + 15.8133i 0.284708 + 0.618350i
\(655\) −4.68119 2.70268i −0.182909 0.105603i
\(656\) 28.8457i 1.12623i
\(657\) −21.2681 + 7.50875i −0.829749 + 0.292944i
\(658\) 4.47051i 0.174279i
\(659\) −16.6112 + 28.7714i −0.647079 + 1.12077i 0.336738 + 0.941598i \(0.390676\pi\)
−0.983817 + 0.179176i \(0.942657\pi\)
\(660\) 0.236406 + 0.0218357i 0.00920207 + 0.000849953i
\(661\) −34.3879 + 19.8539i −1.33753 + 0.772226i −0.986441 0.164114i \(-0.947523\pi\)
−0.351094 + 0.936340i \(0.614190\pi\)
\(662\) −18.1716 31.4742i −0.706261 1.22328i
\(663\) −31.8711 1.35470i −1.23777 0.0526121i
\(664\) 1.63014 2.82348i 0.0632616 0.109572i
\(665\) 7.65420i 0.296817i
\(666\) −47.6696 8.88181i −1.84716 0.344163i
\(667\) −14.6820 −0.568491
\(668\) −0.501588 0.289592i −0.0194070 0.0112047i
\(669\) −14.8744 + 6.84865i −0.575078 + 0.264784i
\(670\) 0.901387 0.520416i 0.0348236 0.0201054i
\(671\) −21.5490 + 12.4413i −0.831889 + 0.480291i
\(672\) 0.635403 0.898171i 0.0245112 0.0346477i
\(673\) 10.5676 18.3036i 0.407350 0.705551i −0.587242 0.809412i \(-0.699786\pi\)
0.994592 + 0.103860i \(0.0331195\pi\)
\(674\) 35.6277i 1.37233i
\(675\) 3.72717 3.62053i 0.143459 0.139354i
\(676\) −0.466264 + 0.0464284i −0.0179332 + 0.00178571i
\(677\) −15.2372 + 26.3915i −0.585612 + 1.01431i 0.409187 + 0.912450i \(0.365812\pi\)
−0.994799 + 0.101859i \(0.967521\pi\)
\(678\) −2.75853 1.95150i −0.105941 0.0749467i
\(679\) 24.9857 + 43.2766i 0.958865 + 1.66080i
\(680\) 7.15736 + 12.3969i 0.274472 + 0.475400i
\(681\) 11.9058 5.48178i 0.456230 0.210062i
\(682\) 3.00529 + 1.73510i 0.115078 + 0.0664406i
\(683\) 44.2196i 1.69201i 0.533171 + 0.846007i \(0.321000\pi\)
−0.533171 + 0.846007i \(0.679000\pi\)
\(684\) −0.201830 0.172711i −0.00771717 0.00660375i
\(685\) 8.42056 0.321733
\(686\) −9.54130 + 16.5260i −0.364288 + 0.630966i
\(687\) 1.01719 11.0127i 0.0388082 0.420159i
\(688\) 15.0590 + 26.0830i 0.574121 + 0.994406i
\(689\) 4.12236 + 6.38606i 0.157049 + 0.243289i
\(690\) −19.2644 1.77936i −0.733382 0.0677391i
\(691\) −17.1303 9.89018i −0.651667 0.376240i 0.137428 0.990512i \(-0.456117\pi\)
−0.789095 + 0.614272i \(0.789450\pi\)
\(692\) 0.578911 0.0220069
\(693\) 23.1110 27.0075i 0.877913 1.02593i
\(694\) 0.313583i 0.0119035i
\(695\) −1.82289 1.05245i −0.0691462 0.0399216i
\(696\) 8.26944 3.80751i 0.313452 0.144323i
\(697\) 31.3466 18.0979i 1.18734 0.685508i
\(698\) 2.63578 + 4.56531i 0.0997658 + 0.172799i
\(699\) −27.9800 + 39.5509i −1.05830 + 1.49595i
\(700\) 0.0972570 + 0.0561513i 0.00367597 + 0.00212232i
\(701\) 4.94243 0.186673 0.0933364 0.995635i \(-0.470247\pi\)
0.0933364 + 0.995635i \(0.470247\pi\)
\(702\) −6.00827 + 26.0490i −0.226768 + 0.983157i
\(703\) 27.8277 1.04954
\(704\) −25.8552 14.9275i −0.974456 0.562603i
\(705\) 1.00587 1.42184i 0.0378832 0.0535496i
\(706\) 0.322702 + 0.558937i 0.0121451 + 0.0210359i
\(707\) 43.7395 25.2530i 1.64499 0.949737i
\(708\) 0.819041 0.377112i 0.0307814 0.0141727i
\(709\) 16.6026 + 9.58551i 0.623524 + 0.359992i 0.778240 0.627967i \(-0.216113\pi\)
−0.154716 + 0.987959i \(0.549446\pi\)
\(710\) 14.7325i 0.552900i
\(711\) −43.3445 8.07596i −1.62555 0.302872i
\(712\) 6.47188 0.242544
\(713\) −4.33538 2.50303i −0.162361 0.0937393i
\(714\) −39.1675 3.61772i −1.46581 0.135390i
\(715\) 7.43629 + 11.5198i 0.278102 + 0.430815i
\(716\) 0.103443 + 0.179168i 0.00386584 + 0.00669584i
\(717\) −2.57758 + 27.9064i −0.0962616 + 1.04218i
\(718\) −8.45151 + 14.6385i −0.315408 + 0.546302i
\(719\) 38.2210 1.42540 0.712701 0.701468i \(-0.247472\pi\)
0.712701 + 0.701468i \(0.247472\pi\)
\(720\) 11.5157 4.06565i 0.429166 0.151518i
\(721\) 47.7595i 1.77866i
\(722\) −16.0212 9.24984i −0.596247 0.344243i
\(723\) −23.5266 + 10.8324i −0.874965 + 0.402862i
\(724\) 0.0622756 + 0.107864i 0.00231445 + 0.00400875i
\(725\) 0.937802 + 1.62432i 0.0348291 + 0.0603257i
\(726\) 6.98458 + 4.94118i 0.259222 + 0.183385i
\(727\) −2.99903 + 5.19447i −0.111228 + 0.192652i −0.916266 0.400571i \(-0.868812\pi\)
0.805038 + 0.593224i \(0.202145\pi\)
\(728\) 31.4428 1.56160i 1.16535 0.0578769i
\(729\) 22.9810 + 14.1729i 0.851150 + 0.524923i
\(730\) 10.7278i 0.397053i
\(731\) 18.8963 32.7293i 0.698904 1.21054i
\(732\) 0.235913 0.333474i 0.00871961 0.0123256i
\(733\) 29.8573 17.2381i 1.10281 0.636705i 0.165850 0.986151i \(-0.446963\pi\)
0.936957 + 0.349446i \(0.113630\pi\)
\(734\) −24.3417 + 14.0537i −0.898467 + 0.518730i
\(735\) 4.26010 1.96148i 0.157136 0.0723503i
\(736\) −1.38207 0.797937i −0.0509437 0.0294123i
\(737\) 2.77395 0.102180
\(738\) −10.0983 28.6028i −0.371723 1.05288i
\(739\) 0.921698i 0.0339052i −0.999856 0.0169526i \(-0.994604\pi\)
0.999856 0.0169526i \(-0.00539644\pi\)
\(740\) 0.204144 0.353589i 0.00750450 0.0129982i
\(741\) 0.651517 15.3278i 0.0239341 0.563082i
\(742\) 4.68623 + 8.11679i 0.172037 + 0.297977i
\(743\) −27.8850 + 16.0994i −1.02300 + 0.590630i −0.914972 0.403518i \(-0.867787\pi\)
−0.108029 + 0.994148i \(0.534454\pi\)
\(744\) 3.09095 + 0.285497i 0.113320 + 0.0104668i
\(745\) −0.434715 + 0.752949i −0.0159267 + 0.0275859i
\(746\) 13.9829i 0.511950i
\(747\) −0.639293 + 3.43115i −0.0233905 + 0.125539i
\(748\) 0.700163i 0.0256005i
\(749\) −30.3693 17.5337i −1.10967 0.640669i
\(750\) 1.03364 + 2.24493i 0.0377431 + 0.0819734i
\(751\) −6.58671 11.4085i −0.240352 0.416303i 0.720462 0.693494i \(-0.243930\pi\)
−0.960815 + 0.277192i \(0.910596\pi\)
\(752\) 3.54498 2.04669i 0.129272 0.0746352i
\(753\) 7.03518 9.94454i 0.256376 0.362399i
\(754\) −8.58578 4.40430i −0.312676 0.160395i
\(755\) −13.4040 −0.487823
\(756\) −0.159196 + 0.561407i −0.00578989 + 0.0204182i
\(757\) 44.5520 1.61927 0.809636 0.586932i \(-0.199665\pi\)
0.809636 + 0.586932i \(0.199665\pi\)
\(758\) 8.42218 14.5876i 0.305907 0.529847i
\(759\) −42.0923 29.7779i −1.52785 1.08087i
\(760\) −5.96206 + 3.44220i −0.216267 + 0.124862i
\(761\) 10.5493 6.09063i 0.382411 0.220785i −0.296456 0.955047i \(-0.595805\pi\)
0.678867 + 0.734261i \(0.262471\pi\)
\(762\) −43.8586 + 20.1939i −1.58883 + 0.731548i
\(763\) −10.9736 + 19.0068i −0.397271 + 0.688093i
\(764\) 0.804927 0.0291213
\(765\) −11.6432 9.96333i −0.420960 0.360225i
\(766\) −35.7858 −1.29299
\(767\) 46.3351 + 23.7688i 1.67306 + 0.858242i
\(768\) 1.49148 + 0.137761i 0.0538192 + 0.00497103i
\(769\) −10.4500 + 6.03331i −0.376836 + 0.217567i −0.676441 0.736497i \(-0.736479\pi\)
0.299605 + 0.954063i \(0.403145\pi\)
\(770\) 8.45345 + 14.6418i 0.304641 + 0.527654i
\(771\) −0.747914 0.0690814i −0.0269355 0.00248790i
\(772\) −0.0987791 0.0570301i −0.00355514 0.00205256i
\(773\) 9.70024i 0.348893i 0.984667 + 0.174447i \(0.0558137\pi\)
−0.984667 + 0.174447i \(0.944186\pi\)
\(774\) −24.0634 20.5916i −0.864941