Properties

Label 1110.2.ba.a.619.10
Level $1110$
Weight $2$
Character 1110.619
Analytic conductor $8.863$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 1110 = 2 \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1110.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.86339462436\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 619.10
Character \(\chi\) \(=\) 1110.619
Dual form 1110.2.ba.a.529.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.05954 - 1.96911i) q^{5} +1.00000i q^{6} +(-3.29356 + 1.90154i) q^{7} +1.00000 q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.05954 - 1.96911i) q^{5} +1.00000i q^{6} +(-3.29356 + 1.90154i) q^{7} +1.00000 q^{8} +(0.500000 - 0.866025i) q^{9} +(1.17553 + 1.90214i) q^{10} -3.84960 q^{11} +(-0.866025 - 0.500000i) q^{12} +(1.22502 + 2.12180i) q^{13} -3.80308i q^{14} +(-0.0669680 - 2.23506i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.42715 + 5.93600i) q^{17} +(0.500000 + 0.866025i) q^{18} +(-0.996184 + 0.575147i) q^{19} +(-2.23506 + 0.0669680i) q^{20} +(-1.90154 + 3.29356i) q^{21} +(1.92480 - 3.33385i) q^{22} +0.0656760 q^{23} +(0.866025 - 0.500000i) q^{24} +(-2.75477 - 4.17268i) q^{25} -2.45005 q^{26} -1.00000i q^{27} +(3.29356 + 1.90154i) q^{28} -2.70511i q^{29} +(1.96911 + 1.05954i) q^{30} +8.12994i q^{31} +(-0.500000 - 0.866025i) q^{32} +(-3.33385 + 1.92480i) q^{33} +(-3.42715 - 5.93600i) q^{34} +(0.254685 + 8.50013i) q^{35} -1.00000 q^{36} +(4.13579 + 4.46040i) q^{37} -1.15029i q^{38} +(2.12180 + 1.22502i) q^{39} +(1.05954 - 1.96911i) q^{40} +(0.239768 + 0.415291i) q^{41} +(-1.90154 - 3.29356i) q^{42} -10.0403 q^{43} +(1.92480 + 3.33385i) q^{44} +(-1.17553 - 1.90214i) q^{45} +(-0.0328380 + 0.0568771i) q^{46} +1.94212i q^{47} +1.00000i q^{48} +(3.73171 - 6.46351i) q^{49} +(4.99103 - 0.299356i) q^{50} +6.85430i q^{51} +(1.22502 - 2.12180i) q^{52} +(4.83010 + 2.78866i) q^{53} +(0.866025 + 0.500000i) q^{54} +(-4.07879 + 7.58027i) q^{55} +(-3.29356 + 1.90154i) q^{56} +(-0.575147 + 0.996184i) q^{57} +(2.34269 + 1.35255i) q^{58} +(1.87894 + 1.08481i) q^{59} +(-1.90214 + 1.17553i) q^{60} +(-4.07230 + 2.35114i) q^{61} +(-7.04073 - 4.06497i) q^{62} +3.80308i q^{63} +1.00000 q^{64} +(5.47601 - 0.164075i) q^{65} -3.84960i q^{66} +(-6.70598 + 3.87170i) q^{67} +6.85430 q^{68} +(0.0568771 - 0.0328380i) q^{69} +(-7.48867 - 4.02950i) q^{70} +(-3.72085 - 6.44470i) q^{71} +(0.500000 - 0.866025i) q^{72} +6.82160i q^{73} +(-5.93072 + 1.35150i) q^{74} +(-4.47204 - 2.23627i) q^{75} +(0.996184 + 0.575147i) q^{76} +(12.6789 - 7.32017i) q^{77} +(-2.12180 + 1.22502i) q^{78} +(2.57370 - 1.48593i) q^{79} +(1.17553 + 1.90214i) q^{80} +(-0.500000 - 0.866025i) q^{81} -0.479537 q^{82} +(4.83322 + 2.79046i) q^{83} +3.80308 q^{84} +(8.05742 + 13.0378i) q^{85} +(5.02016 - 8.69516i) q^{86} +(-1.35255 - 2.34269i) q^{87} -3.84960 q^{88} +(6.89417 + 3.98035i) q^{89} +(2.23506 - 0.0669680i) q^{90} +(-8.06938 - 4.65886i) q^{91} +(-0.0328380 - 0.0568771i) q^{92} +(4.06497 + 7.04073i) q^{93} +(-1.68192 - 0.971059i) q^{94} +(0.0770330 + 2.57098i) q^{95} +(-0.866025 - 0.500000i) q^{96} -2.90742 q^{97} +(3.73171 + 6.46351i) q^{98} +(-1.92480 + 3.33385i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} - 14q^{13} - 2q^{15} - 18q^{16} + 18q^{18} + 6q^{19} - 4q^{20} - 2q^{22} - 20q^{23} + 4q^{25} + 28q^{26} - 2q^{30} - 18q^{32} - 6q^{33} - 40q^{35} - 36q^{36} + 20q^{37} + 6q^{39} + 2q^{40} + 10q^{41} - 2q^{44} - 2q^{45} + 10q^{46} + 10q^{49} - 2q^{50} - 14q^{52} - 12q^{53} + 56q^{55} + 8q^{57} + 30q^{58} + 18q^{59} + 4q^{60} - 6q^{61} - 12q^{62} + 36q^{64} + 40q^{65} + 36q^{67} + 12q^{69} + 20q^{70} - 24q^{71} + 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} - 24q^{77} - 6q^{78} + 2q^{80} - 18q^{81} - 20q^{82} + 36q^{83} + 26q^{85} - 10q^{87} + 4q^{88} + 4q^{90} - 36q^{91} + 10q^{92} + 12q^{93} + 12q^{94} - 30q^{95} + 52q^{97} + 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1110\mathbb{Z}\right)^\times\).

\(n\) \(371\) \(631\) \(667\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 1.05954 1.96911i 0.473839 0.880611i
\(6\) 1.00000i 0.408248i
\(7\) −3.29356 + 1.90154i −1.24485 + 0.718715i −0.970078 0.242795i \(-0.921936\pi\)
−0.274773 + 0.961509i \(0.588603\pi\)
\(8\) 1.00000 0.353553
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 1.17553 + 1.90214i 0.371735 + 0.601509i
\(11\) −3.84960 −1.16070 −0.580349 0.814368i \(-0.697084\pi\)
−0.580349 + 0.814368i \(0.697084\pi\)
\(12\) −0.866025 0.500000i −0.250000 0.144338i
\(13\) 1.22502 + 2.12180i 0.339760 + 0.588482i 0.984387 0.176015i \(-0.0563208\pi\)
−0.644627 + 0.764497i \(0.722987\pi\)
\(14\) 3.80308i 1.01642i
\(15\) −0.0669680 2.23506i −0.0172911 0.577091i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.42715 + 5.93600i −0.831206 + 1.43969i 0.0658765 + 0.997828i \(0.479016\pi\)
−0.897082 + 0.441863i \(0.854318\pi\)
\(18\) 0.500000 + 0.866025i 0.117851 + 0.204124i
\(19\) −0.996184 + 0.575147i −0.228540 + 0.131948i −0.609899 0.792480i \(-0.708790\pi\)
0.381358 + 0.924427i \(0.375456\pi\)
\(20\) −2.23506 + 0.0669680i −0.499776 + 0.0149745i
\(21\) −1.90154 + 3.29356i −0.414950 + 0.718715i
\(22\) 1.92480 3.33385i 0.410369 0.710779i
\(23\) 0.0656760 0.0136944 0.00684720 0.999977i \(-0.497820\pi\)
0.00684720 + 0.999977i \(0.497820\pi\)
\(24\) 0.866025 0.500000i 0.176777 0.102062i
\(25\) −2.75477 4.17268i −0.550953 0.834536i
\(26\) −2.45005 −0.480493
\(27\) 1.00000i 0.192450i
\(28\) 3.29356 + 1.90154i 0.622425 + 0.359357i
\(29\) 2.70511i 0.502326i −0.967945 0.251163i \(-0.919187\pi\)
0.967945 0.251163i \(-0.0808131\pi\)
\(30\) 1.96911 + 1.05954i 0.359508 + 0.193444i
\(31\) 8.12994i 1.46018i 0.683351 + 0.730090i \(0.260522\pi\)
−0.683351 + 0.730090i \(0.739478\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −3.33385 + 1.92480i −0.580349 + 0.335065i
\(34\) −3.42715 5.93600i −0.587751 1.01802i
\(35\) 0.254685 + 8.50013i 0.0430496 + 1.43678i
\(36\) −1.00000 −0.166667
\(37\) 4.13579 + 4.46040i 0.679920 + 0.733286i
\(38\) 1.15029i 0.186602i
\(39\) 2.12180 + 1.22502i 0.339760 + 0.196161i
\(40\) 1.05954 1.96911i 0.167527 0.311343i
\(41\) 0.239768 + 0.415291i 0.0374455 + 0.0648575i 0.884141 0.467221i \(-0.154745\pi\)
−0.846695 + 0.532078i \(0.821411\pi\)
\(42\) −1.90154 3.29356i −0.293414 0.508208i
\(43\) −10.0403 −1.53113 −0.765567 0.643357i \(-0.777541\pi\)
−0.765567 + 0.643357i \(0.777541\pi\)
\(44\) 1.92480 + 3.33385i 0.290174 + 0.502597i
\(45\) −1.17553 1.90214i −0.175237 0.283554i
\(46\) −0.0328380 + 0.0568771i −0.00484170 + 0.00838607i
\(47\) 1.94212i 0.283287i 0.989918 + 0.141643i \(0.0452386\pi\)
−0.989918 + 0.141643i \(0.954761\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 3.73171 6.46351i 0.533101 0.923359i
\(50\) 4.99103 0.299356i 0.705838 0.0423353i
\(51\) 6.85430i 0.959794i
\(52\) 1.22502 2.12180i 0.169880 0.294241i
\(53\) 4.83010 + 2.78866i 0.663465 + 0.383052i 0.793596 0.608445i \(-0.208206\pi\)
−0.130131 + 0.991497i \(0.541540\pi\)
\(54\) 0.866025 + 0.500000i 0.117851 + 0.0680414i
\(55\) −4.07879 + 7.58027i −0.549984 + 1.02212i
\(56\) −3.29356 + 1.90154i −0.440121 + 0.254104i
\(57\) −0.575147 + 0.996184i −0.0761801 + 0.131948i
\(58\) 2.34269 + 1.35255i 0.307611 + 0.177599i
\(59\) 1.87894 + 1.08481i 0.244617 + 0.141230i 0.617297 0.786730i \(-0.288228\pi\)
−0.372680 + 0.927960i \(0.621561\pi\)
\(60\) −1.90214 + 1.17553i −0.245565 + 0.151760i
\(61\) −4.07230 + 2.35114i −0.521405 + 0.301033i −0.737509 0.675337i \(-0.763998\pi\)
0.216105 + 0.976370i \(0.430665\pi\)
\(62\) −7.04073 4.06497i −0.894174 0.516252i
\(63\) 3.80308i 0.479143i
\(64\) 1.00000 0.125000
\(65\) 5.47601 0.164075i 0.679215 0.0203510i
\(66\) 3.84960i 0.473853i
\(67\) −6.70598 + 3.87170i −0.819266 + 0.473003i −0.850163 0.526519i \(-0.823497\pi\)
0.0308975 + 0.999523i \(0.490163\pi\)
\(68\) 6.85430 0.831206
\(69\) 0.0568771 0.0328380i 0.00684720 0.00395323i
\(70\) −7.48867 4.02950i −0.895068 0.481618i
\(71\) −3.72085 6.44470i −0.441583 0.764845i 0.556224 0.831032i \(-0.312250\pi\)
−0.997807 + 0.0661878i \(0.978916\pi\)
\(72\) 0.500000 0.866025i 0.0589256 0.102062i
\(73\) 6.82160i 0.798408i 0.916862 + 0.399204i \(0.130713\pi\)
−0.916862 + 0.399204i \(0.869287\pi\)
\(74\) −5.93072 + 1.35150i −0.689432 + 0.157109i
\(75\) −4.47204 2.23627i −0.516386 0.258222i
\(76\) 0.996184 + 0.575147i 0.114270 + 0.0659739i
\(77\) 12.6789 7.32017i 1.44489 0.834210i
\(78\) −2.12180 + 1.22502i −0.240247 + 0.138706i
\(79\) 2.57370 1.48593i 0.289564 0.167180i −0.348181 0.937427i \(-0.613201\pi\)
0.637745 + 0.770247i \(0.279867\pi\)
\(80\) 1.17553 + 1.90214i 0.131428 + 0.212666i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −0.479537 −0.0529560
\(83\) 4.83322 + 2.79046i 0.530515 + 0.306293i 0.741226 0.671255i \(-0.234245\pi\)
−0.210711 + 0.977548i \(0.567578\pi\)
\(84\) 3.80308 0.414950
\(85\) 8.05742 + 13.0378i 0.873950 + 1.41415i
\(86\) 5.02016 8.69516i 0.541337 0.937624i
\(87\) −1.35255 2.34269i −0.145009 0.251163i
\(88\) −3.84960 −0.410369
\(89\) 6.89417 + 3.98035i 0.730781 + 0.421916i 0.818708 0.574211i \(-0.194691\pi\)
−0.0879270 + 0.996127i \(0.528024\pi\)
\(90\) 2.23506 0.0669680i 0.235597 0.00705905i
\(91\) −8.06938 4.65886i −0.845901 0.488381i
\(92\) −0.0328380 0.0568771i −0.00342360 0.00592985i
\(93\) 4.06497 + 7.04073i 0.421518 + 0.730090i
\(94\) −1.68192 0.971059i −0.173477 0.100157i
\(95\) 0.0770330 + 2.57098i 0.00790342 + 0.263777i
\(96\) −0.866025 0.500000i −0.0883883 0.0510310i
\(97\) −2.90742 −0.295204 −0.147602 0.989047i \(-0.547155\pi\)
−0.147602 + 0.989047i \(0.547155\pi\)
\(98\) 3.73171 + 6.46351i 0.376960 + 0.652913i
\(99\) −1.92480 + 3.33385i −0.193450 + 0.335065i
\(100\) −2.23627 + 4.47204i −0.223627 + 0.447204i
\(101\) 2.83091 0.281686 0.140843 0.990032i \(-0.455019\pi\)
0.140843 + 0.990032i \(0.455019\pi\)
\(102\) −5.93600 3.42715i −0.587751 0.339338i
\(103\) −16.9217 −1.66734 −0.833672 0.552260i \(-0.813765\pi\)
−0.833672 + 0.552260i \(0.813765\pi\)
\(104\) 1.22502 + 2.12180i 0.120123 + 0.208060i
\(105\) 4.47063 + 7.23399i 0.436289 + 0.705965i
\(106\) −4.83010 + 2.78866i −0.469141 + 0.270858i
\(107\) 7.61741 4.39791i 0.736403 0.425162i −0.0843572 0.996436i \(-0.526884\pi\)
0.820760 + 0.571273i \(0.193550\pi\)
\(108\) −0.866025 + 0.500000i −0.0833333 + 0.0481125i
\(109\) −9.23933 5.33433i −0.884968 0.510936i −0.0126746 0.999920i \(-0.504035\pi\)
−0.872293 + 0.488983i \(0.837368\pi\)
\(110\) −4.52531 7.32247i −0.431472 0.698170i
\(111\) 5.81190 + 1.79493i 0.551642 + 0.170367i
\(112\) 3.80308i 0.359357i
\(113\) 2.96968 5.14363i 0.279364 0.483872i −0.691863 0.722029i \(-0.743210\pi\)
0.971227 + 0.238157i \(0.0765432\pi\)
\(114\) −0.575147 0.996184i −0.0538675 0.0933012i
\(115\) 0.0695862 0.129323i 0.00648894 0.0120594i
\(116\) −2.34269 + 1.35255i −0.217514 + 0.125582i
\(117\) 2.45005 0.226507
\(118\) −1.87894 + 1.08481i −0.172970 + 0.0998646i
\(119\) 26.0675i 2.38960i
\(120\) −0.0669680 2.23506i −0.00611332 0.204033i
\(121\) 3.81941 0.347219
\(122\) 4.70229i 0.425725i
\(123\) 0.415291 + 0.239768i 0.0374455 + 0.0216192i
\(124\) 7.04073 4.06497i 0.632276 0.365045i
\(125\) −11.1352 + 1.00332i −0.995965 + 0.0897396i
\(126\) −3.29356 1.90154i −0.293414 0.169403i
\(127\) −15.2426 8.80034i −1.35257 0.780904i −0.363957 0.931416i \(-0.618574\pi\)
−0.988608 + 0.150512i \(0.951908\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −8.69516 + 5.02016i −0.765567 + 0.442000i
\(130\) −2.59591 + 4.82440i −0.227677 + 0.423128i
\(131\) −13.6533 7.88276i −1.19290 0.688720i −0.233935 0.972252i \(-0.575160\pi\)
−0.958963 + 0.283532i \(0.908494\pi\)
\(132\) 3.33385 + 1.92480i 0.290174 + 0.167532i
\(133\) 2.18733 3.78857i 0.189666 0.328511i
\(134\) 7.74340i 0.668928i
\(135\) −1.96911 1.05954i −0.169474 0.0911904i
\(136\) −3.42715 + 5.93600i −0.293876 + 0.509008i
\(137\) 17.0977i 1.46075i −0.683044 0.730377i \(-0.739344\pi\)
0.683044 0.730377i \(-0.260656\pi\)
\(138\) 0.0656760i 0.00559072i
\(139\) −8.88756 + 15.3937i −0.753833 + 1.30568i 0.192119 + 0.981372i \(0.438464\pi\)
−0.945952 + 0.324306i \(0.894869\pi\)
\(140\) 7.23399 4.47063i 0.611384 0.377837i
\(141\) 0.971059 + 1.68192i 0.0817779 + 0.141643i
\(142\) 7.44169 0.624493
\(143\) −4.71585 8.16808i −0.394359 0.683050i
\(144\) 0.500000 + 0.866025i 0.0416667 + 0.0721688i
\(145\) −5.32665 2.86616i −0.442354 0.238022i
\(146\) −5.90768 3.41080i −0.488923 0.282280i
\(147\) 7.46342i 0.615572i
\(148\) 1.79493 5.81190i 0.147542 0.477736i
\(149\) 1.67946 0.137587 0.0687934 0.997631i \(-0.478085\pi\)
0.0687934 + 0.997631i \(0.478085\pi\)
\(150\) 4.17268 2.75477i 0.340698 0.224926i
\(151\) 7.33222 + 12.6998i 0.596687 + 1.03349i 0.993306 + 0.115510i \(0.0368501\pi\)
−0.396619 + 0.917983i \(0.629817\pi\)
\(152\) −0.996184 + 0.575147i −0.0808012 + 0.0466506i
\(153\) 3.42715 + 5.93600i 0.277069 + 0.479897i
\(154\) 14.6403i 1.17975i
\(155\) 16.0087 + 8.61397i 1.28585 + 0.691890i
\(156\) 2.45005i 0.196161i
\(157\) −14.2552 8.23027i −1.13769 0.656847i −0.191834 0.981427i \(-0.561443\pi\)
−0.945858 + 0.324581i \(0.894777\pi\)
\(158\) 2.97186i 0.236428i
\(159\) 5.57732 0.442310
\(160\) −2.23506 + 0.0669680i −0.176697 + 0.00529429i
\(161\) −0.216308 + 0.124886i −0.0170475 + 0.00984237i
\(162\) 1.00000 0.0785674
\(163\) 9.83152 17.0287i 0.770064 1.33379i −0.167464 0.985878i \(-0.553558\pi\)
0.937527 0.347911i \(-0.113109\pi\)
\(164\) 0.239768 0.415291i 0.0187228 0.0324288i
\(165\) 0.257800 + 8.60410i 0.0200697 + 0.669829i
\(166\) −4.83322 + 2.79046i −0.375131 + 0.216582i
\(167\) −5.34341 9.25505i −0.413485 0.716177i 0.581783 0.813344i \(-0.302355\pi\)
−0.995268 + 0.0971667i \(0.969022\pi\)
\(168\) −1.90154 + 3.29356i −0.146707 + 0.254104i
\(169\) 3.49864 6.05982i 0.269126 0.466140i
\(170\) −15.3198 + 0.459019i −1.17498 + 0.0352051i
\(171\) 1.15029i 0.0879652i
\(172\) 5.02016 + 8.69516i 0.382783 + 0.663000i
\(173\) −9.41553 5.43606i −0.715849 0.413296i 0.0973739 0.995248i \(-0.468956\pi\)
−0.813223 + 0.581952i \(0.802289\pi\)
\(174\) 2.70511 0.205074
\(175\) 17.0075 + 8.50470i 1.28565 + 0.642895i
\(176\) 1.92480 3.33385i 0.145087 0.251298i
\(177\) 2.16961 0.163078
\(178\) −6.89417 + 3.98035i −0.516740 + 0.298340i
\(179\) 8.35895i 0.624777i 0.949954 + 0.312388i \(0.101129\pi\)
−0.949954 + 0.312388i \(0.898871\pi\)
\(180\) −1.05954 + 1.96911i −0.0789732 + 0.146769i
\(181\) 9.39587 + 16.2741i 0.698389 + 1.20965i 0.969025 + 0.246964i \(0.0794329\pi\)
−0.270635 + 0.962682i \(0.587234\pi\)
\(182\) 8.06938 4.65886i 0.598142 0.345338i
\(183\) −2.35114 + 4.07230i −0.173802 + 0.301033i
\(184\) 0.0656760 0.00484170
\(185\) 13.1650 3.41786i 0.967913 0.251286i
\(186\) −8.12994 −0.596116
\(187\) 13.1932 22.8512i 0.964779 1.67105i
\(188\) 1.68192 0.971059i 0.122667 0.0708217i
\(189\) 1.90154 + 3.29356i 0.138317 + 0.239572i
\(190\) −2.26505 1.21878i −0.164324 0.0884195i
\(191\) 13.1251i 0.949699i −0.880067 0.474850i \(-0.842502\pi\)
0.880067 0.474850i \(-0.157498\pi\)
\(192\) 0.866025 0.500000i 0.0625000 0.0360844i
\(193\) −1.77545 −0.127800 −0.0639000 0.997956i \(-0.520354\pi\)
−0.0639000 + 0.997956i \(0.520354\pi\)
\(194\) 1.45371 2.51790i 0.104370 0.180775i
\(195\) 4.66033 2.88010i 0.333733 0.206248i
\(196\) −7.46342 −0.533101
\(197\) 17.9982 + 10.3913i 1.28232 + 0.740347i 0.977272 0.211990i \(-0.0679944\pi\)
0.305047 + 0.952337i \(0.401328\pi\)
\(198\) −1.92480 3.33385i −0.136790 0.236926i
\(199\) 22.9945i 1.63003i 0.579437 + 0.815017i \(0.303273\pi\)
−0.579437 + 0.815017i \(0.696727\pi\)
\(200\) −2.75477 4.17268i −0.194791 0.295053i
\(201\) −3.87170 + 6.70598i −0.273089 + 0.473003i
\(202\) −1.41545 + 2.45164i −0.0995909 + 0.172496i
\(203\) 5.14388 + 8.90945i 0.361029 + 0.625321i
\(204\) 5.93600 3.42715i 0.415603 0.239948i
\(205\) 1.07180 0.0321136i 0.0748574 0.00224291i
\(206\) 8.46084 14.6546i 0.589495 1.02104i
\(207\) 0.0328380 0.0568771i 0.00228240 0.00395323i
\(208\) −2.45005 −0.169880
\(209\) 3.83491 2.21409i 0.265266 0.153152i
\(210\) −8.50013 + 0.254685i −0.586565 + 0.0175749i
\(211\) 19.2357 1.32424 0.662120 0.749398i \(-0.269657\pi\)
0.662120 + 0.749398i \(0.269657\pi\)
\(212\) 5.57732i 0.383052i
\(213\) −6.44470 3.72085i −0.441583 0.254948i
\(214\) 8.79583i 0.601270i
\(215\) −10.6381 + 19.7704i −0.725511 + 1.34833i
\(216\) 1.00000i 0.0680414i
\(217\) −15.4594 26.7765i −1.04945 1.81771i
\(218\) 9.23933 5.33433i 0.625767 0.361287i
\(219\) 3.41080 + 5.90768i 0.230480 + 0.399204i
\(220\) 8.60410 0.257800i 0.580089 0.0173809i
\(221\) −16.7933 −1.12964
\(222\) −4.46040 + 4.13579i −0.299363 + 0.277576i
\(223\) 21.9748i 1.47154i −0.677230 0.735771i \(-0.736820\pi\)
0.677230 0.735771i \(-0.263180\pi\)
\(224\) 3.29356 + 1.90154i 0.220061 + 0.127052i
\(225\) −4.99103 + 0.299356i −0.332735 + 0.0199571i
\(226\) 2.96968 + 5.14363i 0.197540 + 0.342149i
\(227\) 5.60894 + 9.71497i 0.372278 + 0.644805i 0.989916 0.141658i \(-0.0452434\pi\)
−0.617637 + 0.786463i \(0.711910\pi\)
\(228\) 1.15029 0.0761801
\(229\) −8.04647 13.9369i −0.531726 0.920976i −0.999314 0.0370298i \(-0.988210\pi\)
0.467588 0.883946i \(-0.345123\pi\)
\(230\) 0.0772040 + 0.124925i 0.00509068 + 0.00823731i
\(231\) 7.32017 12.6789i 0.481632 0.834210i
\(232\) 2.70511i 0.177599i
\(233\) 23.3335i 1.52863i 0.644843 + 0.764315i \(0.276923\pi\)
−0.644843 + 0.764315i \(0.723077\pi\)
\(234\) −1.22502 + 2.12180i −0.0800822 + 0.138706i
\(235\) 3.82424 + 2.05774i 0.249466 + 0.134232i
\(236\) 2.16961i 0.141230i
\(237\) 1.48593 2.57370i 0.0965214 0.167180i
\(238\) 22.5751 + 13.0337i 1.46332 + 0.844851i
\(239\) −0.514328 0.296947i −0.0332691 0.0192079i 0.483273 0.875470i \(-0.339448\pi\)
−0.516542 + 0.856262i \(0.672781\pi\)
\(240\) 1.96911 + 1.05954i 0.127105 + 0.0683928i
\(241\) 9.13422 5.27364i 0.588387 0.339705i −0.176073 0.984377i \(-0.556339\pi\)
0.764459 + 0.644672i \(0.223006\pi\)
\(242\) −1.90971 + 3.30771i −0.122761 + 0.212627i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) 4.07230 + 2.35114i 0.260702 + 0.150517i
\(245\) −8.77346 14.1965i −0.560516 0.906979i
\(246\) −0.415291 + 0.239768i −0.0264780 + 0.0152871i
\(247\) −2.44070 1.40914i −0.155298 0.0896612i
\(248\) 8.12994i 0.516252i
\(249\) 5.58092 0.353677
\(250\) 4.69872 10.1451i 0.297173 0.641629i
\(251\) 28.9037i 1.82439i 0.409761 + 0.912193i \(0.365612\pi\)
−0.409761 + 0.912193i \(0.634388\pi\)
\(252\) 3.29356 1.90154i 0.207475 0.119786i
\(253\) −0.252826 −0.0158951
\(254\) 15.2426 8.80034i 0.956408 0.552182i
\(255\) 13.4969 + 7.26238i 0.845206 + 0.454788i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 4.71460 8.16592i 0.294089 0.509376i −0.680684 0.732577i \(-0.738317\pi\)
0.974772 + 0.223201i \(0.0716506\pi\)
\(258\) 10.0403i 0.625082i
\(259\) −22.1031 6.82625i −1.37342 0.424163i
\(260\) −2.88010 4.66033i −0.178616 0.289021i
\(261\) −2.34269 1.35255i −0.145009 0.0837211i
\(262\) 13.6533 7.88276i 0.843506 0.486998i
\(263\) 27.0317 15.6068i 1.66685 0.962355i 0.697527 0.716559i \(-0.254284\pi\)
0.969321 0.245796i \(-0.0790495\pi\)
\(264\) −3.33385 + 1.92480i −0.205184 + 0.118463i
\(265\) 10.6088 6.55629i 0.651695 0.402750i
\(266\) 2.18733 + 3.78857i 0.134114 + 0.232292i
\(267\) 7.96070 0.487187
\(268\) 6.70598 + 3.87170i 0.409633 + 0.236502i
\(269\) −2.05025 −0.125006 −0.0625031 0.998045i \(-0.519908\pi\)
−0.0625031 + 0.998045i \(0.519908\pi\)
\(270\) 1.90214 1.17553i 0.115760 0.0715404i
\(271\) −3.28422 + 5.68843i −0.199502 + 0.345547i −0.948367 0.317175i \(-0.897266\pi\)
0.748865 + 0.662722i \(0.230599\pi\)
\(272\) −3.42715 5.93600i −0.207801 0.359923i
\(273\) −9.31772 −0.563934
\(274\) 14.8070 + 8.54885i 0.894526 + 0.516455i
\(275\) 10.6047 + 16.0631i 0.639490 + 0.968644i
\(276\) −0.0568771 0.0328380i −0.00342360 0.00197662i
\(277\) 6.72455 + 11.6473i 0.404039 + 0.699816i 0.994209 0.107463i \(-0.0342726\pi\)
−0.590170 + 0.807279i \(0.700939\pi\)
\(278\) −8.88756 15.3937i −0.533041 0.923254i
\(279\) 7.04073 + 4.06497i 0.421518 + 0.243363i
\(280\) 0.254685 + 8.50013i 0.0152203 + 0.507980i
\(281\) 22.2706 + 12.8579i 1.32855 + 0.767040i 0.985076 0.172121i \(-0.0550621\pi\)
0.343477 + 0.939161i \(0.388395\pi\)
\(282\) −1.94212 −0.115651
\(283\) 9.20159 + 15.9376i 0.546978 + 0.947394i 0.998480 + 0.0551234i \(0.0175552\pi\)
−0.451502 + 0.892270i \(0.649111\pi\)
\(284\) −3.72085 + 6.44470i −0.220792 + 0.382422i
\(285\) 1.35220 + 2.18802i 0.0800977 + 0.129607i
\(286\) 9.43169 0.557708
\(287\) −1.57938 0.911858i −0.0932281 0.0538253i
\(288\) −1.00000 −0.0589256
\(289\) −14.9907 25.9647i −0.881807 1.52733i
\(290\) 5.14550 3.17993i 0.302154 0.186732i
\(291\) −2.51790 + 1.45371i −0.147602 + 0.0852180i
\(292\) 5.90768 3.41080i 0.345721 0.199602i
\(293\) −13.9533 + 8.05596i −0.815162 + 0.470634i −0.848745 0.528802i \(-0.822641\pi\)
0.0335831 + 0.999436i \(0.489308\pi\)
\(294\) 6.46351 + 3.73171i 0.376960 + 0.217638i
\(295\) 4.12691 2.55044i 0.240278 0.148493i
\(296\) 4.13579 + 4.46040i 0.240388 + 0.259256i
\(297\) 3.84960i 0.223376i
\(298\) −0.839730 + 1.45446i −0.0486443 + 0.0842543i
\(299\) 0.0804546 + 0.139351i 0.00465281 + 0.00805891i
\(300\) 0.299356 + 4.99103i 0.0172833 + 0.288157i
\(301\) 33.0684 19.0921i 1.90603 1.10045i
\(302\) −14.6644 −0.843843
\(303\) 2.45164 1.41545i 0.140843 0.0813156i
\(304\) 1.15029i 0.0659739i
\(305\) 0.314903 + 10.5099i 0.0180313 + 0.601796i
\(306\) −6.85430 −0.391834
\(307\) 25.0434i 1.42930i 0.699482 + 0.714650i \(0.253414\pi\)
−0.699482 + 0.714650i \(0.746586\pi\)
\(308\) −12.6789 7.32017i −0.722447 0.417105i
\(309\) −14.6546 + 8.46084i −0.833672 + 0.481321i
\(310\) −15.4643 + 9.55697i −0.878312 + 0.542800i
\(311\) −15.5003 8.94910i −0.878941 0.507457i −0.00863174 0.999963i \(-0.502748\pi\)
−0.870309 + 0.492506i \(0.836081\pi\)
\(312\) 2.12180 + 1.22502i 0.120123 + 0.0693532i
\(313\) 5.62602 9.74455i 0.318001 0.550795i −0.662070 0.749442i \(-0.730322\pi\)
0.980071 + 0.198648i \(0.0636550\pi\)
\(314\) 14.2552 8.23027i 0.804470 0.464461i
\(315\) 7.48867 + 4.02950i 0.421939 + 0.227037i
\(316\) −2.57370 1.48593i −0.144782 0.0835900i
\(317\) −2.29777 1.32662i −0.129055 0.0745102i 0.434082 0.900873i \(-0.357073\pi\)
−0.563138 + 0.826363i \(0.690406\pi\)
\(318\) −2.78866 + 4.83010i −0.156380 + 0.270858i
\(319\) 10.4136i 0.583049i
\(320\) 1.05954 1.96911i 0.0592299 0.110076i
\(321\) 4.39791 7.61741i 0.245468 0.425162i
\(322\) 0.249771i 0.0139192i
\(323\) 7.88447i 0.438703i
\(324\) −0.500000 + 0.866025i −0.0277778 + 0.0481125i
\(325\) 5.47895 10.9567i 0.303918 0.607768i
\(326\) 9.83152 + 17.0287i 0.544517 + 0.943132i
\(327\) −10.6687 −0.589979
\(328\) 0.239768 + 0.415291i 0.0132390 + 0.0229306i
\(329\) −3.69301 6.39649i −0.203602 0.352650i
\(330\) −7.58027 4.07879i −0.417280 0.224530i
\(331\) 15.6212 + 9.01889i 0.858618 + 0.495723i 0.863549 0.504265i \(-0.168236\pi\)
−0.00493151 + 0.999988i \(0.501570\pi\)
\(332\) 5.58092i 0.306293i
\(333\) 5.93072 1.35150i 0.325001 0.0740618i
\(334\) 10.6868 0.584756
\(335\) 0.518560 + 17.3070i 0.0283320 + 0.945582i
\(336\) −1.90154 3.29356i −0.103738 0.179679i
\(337\) 17.1397 9.89562i 0.933660 0.539049i 0.0456926 0.998956i \(-0.485451\pi\)
0.887967 + 0.459907i \(0.152117\pi\)
\(338\) 3.49864 + 6.05982i 0.190301 + 0.329611i
\(339\) 5.93935i 0.322581i
\(340\) 7.26238 13.4969i 0.393858 0.731969i
\(341\) 31.2970i 1.69483i
\(342\) −0.996184 0.575147i −0.0538675 0.0311004i
\(343\) 1.76242i 0.0951618i
\(344\) −10.0403 −0.541337
\(345\) −0.00439819 0.146790i −0.000236791 0.00790292i
\(346\) 9.41553 5.43606i 0.506182 0.292244i
\(347\) 5.12556 0.275155 0.137577 0.990491i \(-0.456068\pi\)
0.137577 + 0.990491i \(0.456068\pi\)
\(348\) −1.35255 + 2.34269i −0.0725046 + 0.125582i
\(349\) 12.9643 22.4549i 0.693964 1.20198i −0.276565 0.960995i \(-0.589196\pi\)
0.970529 0.240985i \(-0.0774706\pi\)
\(350\) −15.8690 + 10.4766i −0.848236 + 0.559997i
\(351\) 2.12180 1.22502i 0.113253 0.0653869i
\(352\) 1.92480 + 3.33385i 0.102592 + 0.177695i
\(353\) 2.11906 3.67032i 0.112786 0.195352i −0.804106 0.594485i \(-0.797356\pi\)
0.916893 + 0.399134i \(0.130689\pi\)
\(354\) −1.08481 + 1.87894i −0.0576568 + 0.0998646i
\(355\) −16.6327 + 0.498356i −0.882770 + 0.0264500i
\(356\) 7.96070i 0.421916i
\(357\) −13.0337 22.5751i −0.689818 1.19480i
\(358\) −7.23906 4.17947i −0.382596 0.220892i
\(359\) −11.0273 −0.582000 −0.291000 0.956723i \(-0.593988\pi\)
−0.291000 + 0.956723i \(0.593988\pi\)
\(360\) −1.17553 1.90214i −0.0619558 0.100252i
\(361\) −8.83841 + 15.3086i −0.465180 + 0.805715i
\(362\) −18.7917 −0.987672
\(363\) 3.30771 1.90971i 0.173610 0.100234i
\(364\) 9.31772i 0.488381i
\(365\) 13.4325 + 7.22773i 0.703087 + 0.378317i
\(366\) −2.35114 4.07230i −0.122896 0.212863i
\(367\) −0.710723 + 0.410336i −0.0370994 + 0.0214194i −0.518435 0.855117i \(-0.673485\pi\)
0.481336 + 0.876536i \(0.340152\pi\)
\(368\) −0.0328380 + 0.0568771i −0.00171180 + 0.00296492i
\(369\) 0.479537 0.0249637
\(370\) −3.62257 + 13.1102i −0.188328 + 0.681566i
\(371\) −21.2110 −1.10122
\(372\) 4.06497 7.04073i 0.210759 0.365045i
\(373\) −24.6060 + 14.2063i −1.27405 + 0.735572i −0.975747 0.218899i \(-0.929753\pi\)
−0.298301 + 0.954472i \(0.596420\pi\)
\(374\) 13.1932 + 22.8512i 0.682202 + 1.18161i
\(375\) −9.14173 + 6.43651i −0.472077 + 0.332380i
\(376\) 1.94212i 0.100157i
\(377\) 5.73971 3.31382i 0.295610 0.170670i
\(378\) −3.80308 −0.195609
\(379\) 2.60445 4.51103i 0.133781 0.231716i −0.791350 0.611364i \(-0.790621\pi\)
0.925131 + 0.379647i \(0.123955\pi\)
\(380\) 2.18802 1.35220i 0.112243 0.0693666i
\(381\) −17.6007 −0.901710
\(382\) 11.3667 + 6.56255i 0.581570 + 0.335769i
\(383\) −3.04474 5.27364i −0.155579 0.269470i 0.777691 0.628647i \(-0.216391\pi\)
−0.933270 + 0.359177i \(0.883058\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) −0.980434 32.7221i −0.0499676 1.66767i
\(386\) 0.887727 1.53759i 0.0451841 0.0782612i
\(387\) −5.02016 + 8.69516i −0.255189 + 0.442000i
\(388\) 1.45371 + 2.51790i 0.0738009 + 0.127827i
\(389\) −24.6454 + 14.2290i −1.24957 + 0.721441i −0.971024 0.238981i \(-0.923187\pi\)
−0.278549 + 0.960422i \(0.589853\pi\)
\(390\) 0.164075 + 5.47601i 0.00830825 + 0.277289i
\(391\) −0.225082 + 0.389853i −0.0113829 + 0.0197157i
\(392\) 3.73171 6.46351i 0.188480 0.326457i
\(393\) −15.7655 −0.795265
\(394\) −17.9982 + 10.3913i −0.906737 + 0.523505i
\(395\) −0.199019 6.64229i −0.0100137 0.334210i
\(396\) 3.84960 0.193450
\(397\) 34.7007i 1.74158i −0.491656 0.870790i \(-0.663608\pi\)
0.491656 0.870790i \(-0.336392\pi\)
\(398\) −19.9138 11.4972i −0.998188 0.576304i
\(399\) 4.37466i 0.219007i
\(400\) 4.99103 0.299356i 0.249552 0.0149678i
\(401\) 1.30549i 0.0651933i −0.999469 0.0325967i \(-0.989622\pi\)
0.999469 0.0325967i \(-0.0103777\pi\)
\(402\) −3.87170 6.70598i −0.193103 0.334464i
\(403\) −17.2501 + 9.95936i −0.859289 + 0.496111i
\(404\) −1.41545 2.45164i −0.0704214 0.121973i
\(405\) −2.23506 + 0.0669680i −0.111061 + 0.00332767i
\(406\) −10.2878 −0.510572
\(407\) −15.9211 17.1708i −0.789182 0.851123i
\(408\) 6.85430i 0.339338i
\(409\) 15.6275 + 9.02256i 0.772731 + 0.446137i 0.833848 0.551994i \(-0.186133\pi\)
−0.0611167 + 0.998131i \(0.519466\pi\)
\(410\) −0.508087 + 0.944259i −0.0250926 + 0.0466336i
\(411\) −8.54885 14.8070i −0.421684 0.730377i
\(412\) 8.46084 + 14.6546i 0.416836 + 0.721981i
\(413\) −8.25121 −0.406016
\(414\) 0.0328380 + 0.0568771i 0.00161390 + 0.00279536i
\(415\) 10.6157 6.56053i 0.521104 0.322044i
\(416\) 1.22502 2.12180i 0.0600617 0.104030i
\(417\) 17.7751i 0.870452i
\(418\) 4.42817i 0.216589i
\(419\) −2.21154 + 3.83049i −0.108041 + 0.187132i −0.914976 0.403507i \(-0.867791\pi\)
0.806936 + 0.590639i \(0.201124\pi\)
\(420\) 4.02950 7.48867i 0.196620 0.365410i
\(421\) 36.6940i 1.78835i 0.447713 + 0.894177i \(0.352239\pi\)
−0.447713 + 0.894177i \(0.647761\pi\)
\(422\) −9.61784 + 16.6586i −0.468189 + 0.810927i
\(423\) 1.68192 + 0.971059i 0.0817779 + 0.0472145i
\(424\) 4.83010 + 2.78866i 0.234570 + 0.135429i
\(425\) 34.2100 2.05187i 1.65943 0.0995305i
\(426\) 6.44470 3.72085i 0.312247 0.180276i
\(427\) 8.94159 15.4873i 0.432714 0.749482i
\(428\) −7.61741 4.39791i −0.368201 0.212581i
\(429\) −8.16808 4.71585i −0.394359 0.227683i
\(430\) −11.8027 19.0981i −0.569175 0.920991i
\(431\) 7.11522 4.10797i 0.342728 0.197874i −0.318750 0.947839i \(-0.603263\pi\)
0.661478 + 0.749965i \(0.269930\pi\)
\(432\) 0.866025 + 0.500000i 0.0416667 + 0.0240563i
\(433\) 35.2652i 1.69474i 0.531005 + 0.847368i \(0.321814\pi\)
−0.531005 + 0.847368i \(0.678186\pi\)
\(434\) 30.9188 1.48415
\(435\) −6.04610 + 0.181156i −0.289888 + 0.00868576i
\(436\) 10.6687i 0.510936i
\(437\) −0.0654254 + 0.0377734i −0.00312972 + 0.00180695i
\(438\) −6.82160 −0.325949
\(439\) −0.786419 + 0.454039i −0.0375337 + 0.0216701i −0.518649 0.854987i \(-0.673565\pi\)
0.481116 + 0.876657i \(0.340232\pi\)
\(440\) −4.07879 + 7.58027i −0.194449 + 0.361375i
\(441\) −3.73171 6.46351i −0.177700 0.307786i
\(442\) 8.39667 14.5435i 0.399389 0.691762i
\(443\) 35.0014i 1.66297i −0.555548 0.831484i \(-0.687492\pi\)
0.555548 0.831484i \(-0.312508\pi\)
\(444\) −1.35150 5.93072i −0.0641394 0.281460i
\(445\) 15.1424 9.35803i 0.717817 0.443613i
\(446\) 19.0307 + 10.9874i 0.901132 + 0.520269i
\(447\) 1.45446 0.839730i 0.0687934 0.0397179i
\(448\) −3.29356 + 1.90154i −0.155606 + 0.0898393i
\(449\) 17.3266 10.0035i 0.817692 0.472095i −0.0319278 0.999490i \(-0.510165\pi\)
0.849620 + 0.527395i \(0.176831\pi\)
\(450\) 2.23627 4.47204i 0.105419 0.210814i
\(451\) −0.923012 1.59870i −0.0434629 0.0752800i
\(452\) −5.93935 −0.279364
\(453\) 12.6998 + 7.33222i 0.596687 + 0.344498i
\(454\) −11.2179 −0.526481
\(455\) −17.7236 + 10.9532i −0.830895 + 0.513496i
\(456\) −0.575147 + 0.996184i −0.0269337 + 0.0466506i
\(457\) −6.37769 11.0465i −0.298336 0.516733i 0.677420 0.735597i \(-0.263098\pi\)
−0.975755 + 0.218864i \(0.929765\pi\)
\(458\) 16.0929 0.751974
\(459\) 5.93600 + 3.42715i 0.277069 + 0.159966i
\(460\) −0.146790 + 0.00439819i −0.00684413 + 0.000205067i
\(461\) 19.2166 + 11.0947i 0.895005 + 0.516731i 0.875576 0.483080i \(-0.160482\pi\)
0.0194288 + 0.999811i \(0.493815\pi\)
\(462\) 7.32017 + 12.6789i 0.340565 + 0.589876i
\(463\) 6.56761 + 11.3754i 0.305223 + 0.528661i 0.977311 0.211810i \(-0.0679358\pi\)
−0.672088 + 0.740471i \(0.734602\pi\)
\(464\) 2.34269 + 1.35255i 0.108757 + 0.0627908i
\(465\) 18.1709 0.544446i 0.842657 0.0252481i
\(466\) −20.2074 11.6668i −0.936091 0.540453i
\(467\) 2.63986 0.122158 0.0610790 0.998133i \(-0.480546\pi\)
0.0610790 + 0.998133i \(0.480546\pi\)
\(468\) −1.22502 2.12180i −0.0566267 0.0980803i
\(469\) 14.7244 25.5034i 0.679909 1.17764i
\(470\) −3.69418 + 2.28301i −0.170400 + 0.105308i
\(471\) −16.4605 −0.758461
\(472\) 1.87894 + 1.08481i 0.0864852 + 0.0499323i
\(473\) 38.6512 1.77718
\(474\) 1.48593 + 2.57370i 0.0682509 + 0.118214i
\(475\) 5.14416 + 2.57236i 0.236030 + 0.118028i
\(476\) −22.5751 + 13.0337i −1.03473 + 0.597400i
\(477\) 4.83010 2.78866i 0.221155 0.127684i
\(478\) 0.514328 0.296947i 0.0235248 0.0135821i
\(479\) −9.66298 5.57892i −0.441513 0.254907i 0.262726 0.964870i \(-0.415378\pi\)
−0.704239 + 0.709963i \(0.748712\pi\)
\(480\) −1.90214 + 1.17553i −0.0868204 + 0.0536553i
\(481\) −4.39765 + 14.2394i −0.200516 + 0.649262i
\(482\) 10.5473i 0.480416i
\(483\) −0.124886 + 0.216308i −0.00568249 + 0.00984237i
\(484\) −1.90971 3.30771i −0.0868048 0.150350i
\(485\) −3.08052 + 5.72502i −0.139879 + 0.259960i
\(486\) 0.866025 0.500000i 0.0392837 0.0226805i
\(487\) −25.4527 −1.15337 −0.576686 0.816966i \(-0.695654\pi\)
−0.576686 + 0.816966i \(0.695654\pi\)
\(488\) −4.07230 + 2.35114i −0.184344 + 0.106431i
\(489\) 19.6630i 0.889193i
\(490\) 16.6812 0.499811i 0.753581 0.0225791i
\(491\) 16.1537 0.729007 0.364503 0.931202i \(-0.381239\pi\)
0.364503 + 0.931202i \(0.381239\pi\)
\(492\) 0.479537i 0.0216192i
\(493\) 16.0575 + 9.27082i 0.723195 + 0.417537i
\(494\) 2.44070 1.40914i 0.109812 0.0634001i
\(495\) 4.52531 + 7.32247i 0.203398 + 0.329121i
\(496\) −7.04073 4.06497i −0.316138 0.182522i
\(497\) 24.5097 + 14.1507i 1.09941 + 0.634745i
\(498\) −2.79046 + 4.83322i −0.125044 + 0.216582i
\(499\) −26.9210 + 15.5428i −1.20515 + 0.695793i −0.961696 0.274119i \(-0.911614\pi\)
−0.243453 + 0.969913i \(0.578280\pi\)
\(500\) 6.43651 + 9.14173i 0.287850 + 0.408831i
\(501\) −9.25505 5.34341i −0.413485 0.238726i
\(502\) −25.0313 14.4519i −1.11720 0.645018i
\(503\) 5.22198 9.04473i 0.232836 0.403284i −0.725805 0.687900i \(-0.758533\pi\)
0.958642 + 0.284616i \(0.0918660\pi\)
\(504\) 3.80308i 0.169403i
\(505\) 2.99945 5.57435i 0.133474 0.248056i
\(506\) 0.126413 0.218954i 0.00561975 0.00973370i
\(507\) 6.99728i 0.310760i
\(508\) 17.6007i 0.780904i
\(509\) −7.95848 + 13.7845i −0.352753 + 0.610987i −0.986731 0.162365i \(-0.948088\pi\)
0.633977 + 0.773352i \(0.281421\pi\)
\(510\) −13.0378 + 8.05742i −0.577325 + 0.356789i
\(511\) −12.9715 22.4674i −0.573827 0.993898i
\(512\) 1.00000 0.0441942
\(513\) 0.575147 + 0.996184i 0.0253934 + 0.0439826i
\(514\) 4.71460 + 8.16592i 0.207952 + 0.360183i
\(515\) −17.9291 + 33.3206i −0.790053 + 1.46828i
\(516\) 8.69516 + 5.02016i 0.382783 + 0.221000i
\(517\) 7.47637i 0.328810i
\(518\) 16.9633 15.7288i 0.745324 0.691082i
\(519\) −10.8721 −0.477233
\(520\) 5.47601 0.164075i 0.240139 0.00719515i
\(521\) −14.8542 25.7282i −0.650774 1.12717i −0.982935 0.183951i \(-0.941111\pi\)
0.332161 0.943223i \(-0.392222\pi\)
\(522\) 2.34269 1.35255i 0.102537 0.0591997i
\(523\) 18.5161 + 32.0708i 0.809651 + 1.40236i 0.913106 + 0.407723i \(0.133677\pi\)
−0.103455 + 0.994634i \(0.532990\pi\)
\(524\) 15.7655i 0.688720i
\(525\) 18.9813 1.13847i 0.828411 0.0496871i
\(526\) 31.2136i 1.36098i
\(527\) −48.2593 27.8625i −2.10221 1.21371i
\(528\) 3.84960i 0.167532i
\(529\) −22.9957 −0.999812
\(530\) 0.373502 + 12.4657i 0.0162239 + 0.541474i
\(531\) 1.87894 1.08481i 0.0815391 0.0470766i
\(532\) −4.37466 −0.189666
\(533\) −0.587443 + 1.01748i −0.0254450 + 0.0440720i
\(534\) −3.98035 + 6.89417i −0.172247 + 0.298340i
\(535\) −0.589039 19.6592i −0.0254664 0.849943i
\(536\) −6.70598 + 3.87170i −0.289654 + 0.167232i
\(537\) 4.17947 + 7.23906i 0.180358 + 0.312388i
\(538\) 1.02513 1.77557i 0.0441963 0.0765503i
\(539\) −14.3656 + 24.8819i −0.618770 + 1.07174i
\(540\) 0.0669680 + 2.23506i 0.00288185 + 0.0961819i
\(541\) 5.98204i 0.257188i 0.991697 + 0.128594i \(0.0410464\pi\)
−0.991697 + 0.128594i \(0.958954\pi\)
\(542\) −3.28422 5.68843i −0.141069 0.244339i
\(543\) 16.2741 + 9.39587i 0.698389 + 0.403215i
\(544\) 6.85430 0.293876
\(545\) −20.2933 + 12.5413i −0.869269 + 0.537211i
\(546\) 4.65886 8.06938i 0.199381 0.345338i
\(547\) −7.81210 −0.334021 −0.167011 0.985955i \(-0.553411\pi\)
−0.167011 + 0.985955i \(0.553411\pi\)
\(548\) −14.8070 + 8.54885i −0.632525 + 0.365189i
\(549\) 4.70229i 0.200689i
\(550\) −19.2135 + 1.15240i −0.819265 + 0.0491385i
\(551\) 1.55584 + 2.69479i 0.0662809 + 0.114802i
\(552\) 0.0568771 0.0328380i 0.00242085 0.00139768i
\(553\) −5.65110 + 9.78800i −0.240309 + 0.416228i
\(554\) −13.4491 −0.571398
\(555\) 9.69233 9.54247i 0.411416 0.405055i
\(556\) 17.7751 0.753833
\(557\) 1.26410 2.18949i 0.0535618 0.0927717i −0.838001 0.545668i \(-0.816276\pi\)
0.891563 + 0.452896i \(0.149609\pi\)
\(558\) −7.04073 + 4.06497i −0.298058 + 0.172084i
\(559\) −12.2996 21.3035i −0.520218 0.901044i
\(560\) −7.48867 4.02950i −0.316454 0.170278i
\(561\) 26.3863i 1.11403i
\(562\) −22.2706 + 12.8579i −0.939428 + 0.542379i
\(563\) −6.95366 −0.293062 −0.146531 0.989206i \(-0.546811\pi\)
−0.146531 + 0.989206i \(0.546811\pi\)
\(564\) 0.971059 1.68192i 0.0408889 0.0708217i
\(565\) −6.98188 11.2975i −0.293730 0.475288i
\(566\) −18.4032 −0.773544
\(567\) 3.29356 + 1.90154i 0.138317 + 0.0798572i
\(568\) −3.72085 6.44470i −0.156123 0.270413i
\(569\) 18.5866i 0.779192i 0.920986 + 0.389596i \(0.127385\pi\)
−0.920986 + 0.389596i \(0.872615\pi\)
\(570\) −2.57098 + 0.0770330i −0.107687 + 0.00322656i
\(571\) 0.540231 0.935708i 0.0226080 0.0391582i −0.854500 0.519451i \(-0.826136\pi\)
0.877108 + 0.480293i \(0.159470\pi\)
\(572\) −4.71585 + 8.16808i −0.197179 + 0.341525i
\(573\) −6.56255 11.3667i −0.274155 0.474850i
\(574\) 1.57938 0.911858i 0.0659222 0.0380602i
\(575\) −0.180922 0.274045i −0.00754497 0.0114285i
\(576\) 0.500000 0.866025i 0.0208333 0.0360844i
\(577\) 13.4705 23.3317i 0.560786 0.971310i −0.436642 0.899635i \(-0.643832\pi\)
0.997428 0.0716745i \(-0.0228343\pi\)
\(578\) 29.9814 1.24706
\(579\) −1.53759 + 0.887727i −0.0639000 + 0.0368927i
\(580\) 0.181156 + 6.04610i 0.00752209 + 0.251050i
\(581\) −21.2247 −0.880549
\(582\) 2.90742i 0.120516i
\(583\) −18.5939 10.7352i −0.770082 0.444607i
\(584\) 6.82160i 0.282280i
\(585\) 2.59591 4.82440i 0.107328 0.199464i
\(586\) 16.1119i 0.665577i
\(587\) 7.31683 + 12.6731i 0.301998 + 0.523076i 0.976588 0.215116i \(-0.0690130\pi\)
−0.674590 + 0.738192i \(0.735680\pi\)
\(588\) −6.46351 + 3.73171i −0.266551 + 0.153893i
\(589\) −4.67591 8.09892i −0.192668 0.333710i
\(590\) 0.145295 + 4.84923i 0.00598169 + 0.199640i
\(591\) 20.7825 0.854880
\(592\) −5.93072 + 1.35150i −0.243751 + 0.0555463i
\(593\) 8.93492i 0.366913i 0.983028 + 0.183457i \(0.0587287\pi\)
−0.983028 + 0.183457i \(0.941271\pi\)
\(594\) −3.33385 1.92480i −0.136790 0.0789755i
\(595\) −51.3296 27.6194i −2.10431 1.13229i
\(596\) −0.839730 1.45446i −0.0343967 0.0595768i
\(597\) 11.4972 + 19.9138i 0.470550 + 0.815017i
\(598\) −0.160909 −0.00658007
\(599\) −20.5035 35.5132i −0.837752 1.45103i −0.891770 0.452489i \(-0.850536\pi\)
0.0540178 0.998540i \(-0.482797\pi\)
\(600\) −4.47204 2.23627i −0.182570 0.0912952i
\(601\) −20.0982 + 34.8112i −0.819824 + 1.41998i 0.0859879 + 0.996296i \(0.472595\pi\)
−0.905812 + 0.423680i \(0.860738\pi\)
\(602\) 38.1841i 1.55627i
\(603\) 7.74340i 0.315335i
\(604\) 7.33222 12.6998i 0.298344 0.516746i
\(605\) 4.04681 7.52083i 0.164526 0.305765i
\(606\) 2.83091i 0.114998i
\(607\) −11.0397 + 19.1214i −0.448089 + 0.776114i −0.998262 0.0589376i \(-0.981229\pi\)
0.550172 + 0.835051i \(0.314562\pi\)
\(608\) 0.996184 + 0.575147i 0.0404006 + 0.0233253i
\(609\) 8.90945 + 5.14388i 0.361029 + 0.208440i
\(610\) −9.25931 4.98224i −0.374898 0.201725i
\(611\) −4.12079 + 2.37914i −0.166709 + 0.0962496i
\(612\) 3.42715 5.93600i 0.138534 0.239948i
\(613\) 0.146782 + 0.0847445i 0.00592846 + 0.00342280i 0.502961 0.864309i \(-0.332244\pi\)
−0.497033 + 0.867732i \(0.665577\pi\)
\(614\) −21.6882 12.5217i −0.875264 0.505334i
\(615\) 0.912145 0.563709i 0.0367812 0.0227309i
\(616\) 12.6789 7.32017i 0.510847 0.294938i
\(617\) −36.7353 21.2091i −1.47891 0.853848i −0.479192 0.877710i \(-0.659070\pi\)
−0.999715 + 0.0238625i \(0.992404\pi\)
\(618\) 16.9217i 0.680690i
\(619\) −36.2920 −1.45870 −0.729349 0.684142i \(-0.760177\pi\)
−0.729349 + 0.684142i \(0.760177\pi\)
\(620\) −0.544446 18.1709i −0.0218655 0.729762i
\(621\) 0.0656760i 0.00263549i
\(622\) 15.5003 8.94910i 0.621505 0.358826i
\(623\) −30.2752 −1.21295
\(624\) −2.12180 + 1.22502i −0.0849400 + 0.0490402i
\(625\) −9.82254 + 22.9895i −0.392902 + 0.919581i
\(626\) 5.62602 + 9.74455i 0.224861 + 0.389471i
\(627\) 2.21409 3.83491i 0.0884221 0.153152i
\(628\) 16.4605i 0.656847i
\(629\) −40.6509 + 9.26359i −1.62086 + 0.369363i
\(630\) −7.23399 + 4.47063i −0.288209 + 0.178114i
\(631\) 1.44160 + 0.832307i 0.0573891 + 0.0331336i 0.528420 0.848983i \(-0.322785\pi\)
−0.471031 + 0.882117i \(0.656118\pi\)
\(632\) 2.57370 1.48593i 0.102376 0.0591070i
\(633\) 16.6586 9.61784i 0.662120 0.382275i
\(634\) 2.29777 1.32662i 0.0912560 0.0526867i
\(635\) −33.4789 + 20.6901i −1.32857 + 0.821061i
\(636\) −2.78866 4.83010i −0.110577 0.191526i
\(637\) 18.2857 0.724506
\(638\) −9.01843 5.20679i −0.357043 0.206139i
\(639\) −7.44169 −0.294389
\(640\) 1.17553 + 1.90214i 0.0464668 + 0.0751886i
\(641\) 6.48865 11.2387i 0.256286 0.443901i −0.708958 0.705251i \(-0.750834\pi\)
0.965244 + 0.261350i \(0.0841677\pi\)
\(642\) 4.39791 + 7.61741i 0.173572 + 0.300635i
\(643\) −20.0143 −0.789285 −0.394643 0.918835i \(-0.629132\pi\)
−0.394643 + 0.918835i \(0.629132\pi\)
\(644\) 0.216308 + 0.124886i 0.00852374 + 0.00492118i
\(645\) 0.672380 + 22.4407i 0.0264749 + 0.883604i
\(646\) 6.82815 + 3.94223i 0.268650 + 0.155105i
\(647\) 25.0163 + 43.3294i 0.983491 + 1.70346i 0.648460 + 0.761248i \(0.275413\pi\)
0.335030 + 0.942207i \(0.391253\pi\)
\(648\) −0.500000 0.866025i −0.0196419 0.0340207i
\(649\) −7.23317 4.17607i −0.283927 0.163925i
\(650\) 6.74930 + 10.2233i 0.264729 + 0.400989i
\(651\) −26.7765 15.4594i −1.04945 0.605902i
\(652\) −19.6630 −0.770064
\(653\) −3.28047 5.68194i −0.128375 0.222351i 0.794672 0.607039i \(-0.207643\pi\)
−0.923047 + 0.384687i \(0.874309\pi\)
\(654\) 5.33433 9.23933i 0.208589 0.361287i
\(655\) −29.9882 + 18.5328i −1.17174 + 0.724137i
\(656\) −0.479537 −0.0187228
\(657\) 5.90768 + 3.41080i 0.230480 + 0.133068i
\(658\) 7.38603 0.287937
\(659\) 23.8790 + 41.3596i 0.930193 + 1.61114i 0.782989 + 0.622035i \(0.213694\pi\)
0.147203 + 0.989106i \(0.452973\pi\)
\(660\) 7.32247 4.52531i 0.285027 0.176148i
\(661\) 31.6257 18.2591i 1.23010 0.710197i 0.263047 0.964783i \(-0.415272\pi\)
0.967050 + 0.254586i \(0.0819391\pi\)
\(662\) −15.6212 + 9.01889i −0.607134 + 0.350529i
\(663\) −14.5435 + 8.39667i −0.564821 + 0.326100i
\(664\) 4.83322 + 2.79046i 0.187565 + 0.108291i
\(665\) −5.14254 8.32122i −0.199419 0.322683i
\(666\) −1.79493 + 5.81190i −0.0695520 + 0.225207i
\(667\) 0.177661i 0.00687906i
\(668\) −5.34341 + 9.25505i −0.206743 + 0.358089i
\(669\) −10.9874 19.0307i −0.424798 0.735771i
\(670\) −15.2476 8.20441i −0.589065 0.316964i
\(671\) 15.6767 9.05096i 0.605193 0.349408i
\(672\) 3.80308 0.146707
\(673\) 3.39834 1.96203i 0.130996 0.0756307i −0.433070 0.901360i \(-0.642570\pi\)
0.564066 + 0.825730i \(0.309236\pi\)
\(674\) 19.7912i 0.762330i
\(675\) −4.17268 + 2.75477i −0.160607 + 0.106031i
\(676\) −6.99728 −0.269126
\(677\) 26.4675i 1.01723i 0.860994 + 0.508615i \(0.169842\pi\)
−0.860994 + 0.508615i \(0.830158\pi\)
\(678\) 5.14363 + 2.96968i 0.197540 + 0.114050i
\(679\) 9.57577 5.52857i 0.367484 0.212167i
\(680\) 8.05742 + 13.0378i 0.308988 + 0.499978i
\(681\) 9.71497 + 5.60894i 0.372278 + 0.214935i
\(682\) 27.1040 + 15.6485i 1.03787 + 0.599212i
\(683\) −6.60542 + 11.4409i −0.252749 + 0.437774i −0.964282 0.264879i \(-0.914668\pi\)
0.711533 + 0.702653i \(0.248001\pi\)
\(684\) 0.996184 0.575147i 0.0380901 0.0219913i
\(685\) −33.6672 18.1156i −1.28636 0.692163i
\(686\) −1.52630 0.881211i −0.0582745 0.0336448i
\(687\) −13.9369 8.04647i −0.531726 0.306992i
\(688\) 5.02016 8.69516i 0.191392 0.331500i
\(689\) 13.6647i 0.520583i
\(690\) 0.129323 + 0.0695862i 0.00492325 + 0.00264910i
\(691\) 23.9934 41.5579i 0.912753 1.58094i 0.102596 0.994723i \(-0.467285\pi\)
0.810158 0.586212i \(-0.199381\pi\)
\(692\) 10.8721i 0.413296i
\(693\) 14.6403i 0.556140i
\(694\) −2.56278 + 4.43887i −0.0972818 + 0.168497i
\(695\) 20.8952 + 33.8108i 0.792599 + 1.28252i
\(696\) −1.35255 2.34269i −0.0512685 0.0887996i
\(697\) −3.28689 −0.124500
\(698\) 12.9643 + 22.4549i 0.490707 + 0.849929i
\(699\) 11.6668 + 20.2074i 0.441278 + 0.764315i
\(700\) −1.13847 18.9813i −0.0430303 0.717425i
\(701\) −13.4755 7.78011i −0.508964 0.293851i 0.223444 0.974717i \(-0.428270\pi\)
−0.732408 + 0.680866i \(0.761603\pi\)
\(702\) 2.45005i 0.0924710i
\(703\) −6.68540 2.06469i −0.252145 0.0778714i
\(704\) −3.84960 −0.145087
\(705\) 4.34076 0.130060i 0.163482 0.00489833i
\(706\) 2.11906 + 3.67032i 0.0797520 + 0.138134i
\(707\) −9.32377 + 5.38308i −0.350656 + 0.202452i
\(708\) −1.08481 1.87894i −0.0407695 0.0706149i
\(709\) 0.120714i 0.00453352i 0.999997 + 0.00226676i \(0.000721533\pi\)
−0.999997 + 0.00226676i \(0.999278\pi\)
\(710\) 7.88475 14.6535i 0.295909 0.549936i
\(711\) 2.97186i 0.111453i
\(712\) 6.89417 + 3.98035i 0.258370 + 0.149170i
\(713\) 0.533942i 0.0199963i
\(714\) 26.0675 0.975550
\(715\) −21.0804 + 0.631622i −0.788364 + 0.0236213i
\(716\) 7.23906 4.17947i 0.270536 0.156194i
\(717\) −0.593895 −0.0221794
\(718\) 5.51366 9.54994i 0.205768 0.356401i
\(719\) 10.4447 18.0907i 0.389521 0.674671i −0.602864 0.797844i \(-0.705974\pi\)
0.992385 + 0.123173i \(0.0393072\pi\)
\(720\) 2.23506 0.0669680i 0.0832960 0.00249575i
\(721\) 55.7327 32.1773i 2.07559 1.19834i
\(722\) −8.83841 15.3086i −0.328932 0.569726i
\(723\) 5.27364 9.13422i 0.196129 0.339705i
\(724\) 9.39587 16.2741i 0.349195 0.604823i
\(725\) −11.2876 + 7.45194i −0.419210 + 0.276758i
\(726\) 3.81941i 0.141752i
\(727\) 14.7316 + 25.5159i 0.546364 + 0.946331i 0.998520 + 0.0543916i \(0.0173219\pi\)
−0.452155 + 0.891939i \(0.649345\pi\)
\(728\) −8.06938 4.65886i −0.299071 0.172669i
\(729\) −1.00000 −0.0370370
\(730\) −12.9756 + 8.01898i −0.480250 + 0.296796i
\(731\) 34.4097 59.5993i 1.27269 2.20436i
\(732\) 4.70229 0.173802
\(733\) 17.4475 10.0733i 0.644438 0.372067i −0.141884 0.989883i \(-0.545316\pi\)
0.786322 + 0.617817i \(0.211983\pi\)
\(734\) 0.820672i 0.0302915i
\(735\) −14.6963 7.90776i −0.542080 0.291682i
\(736\) −0.0328380 0.0568771i −0.00121043 0.00209652i
\(737\) 25.8153 14.9045i 0.950920 0.549014i
\(738\) −0.239768 + 0.415291i −0.00882599 + 0.0152871i
\(739\) −5.60635 −0.206233 −0.103116 0.994669i \(-0.532881\pi\)
−0.103116 + 0.994669i \(0.532881\pi\)
\(740\) −9.54247 9.69233i −0.350788 0.356297i
\(741\) −2.81827 −0.103532
\(742\) 10.6055 18.3692i 0.389340 0.674356i
\(743\) −9.93130 + 5.73384i −0.364344 + 0.210354i −0.670985 0.741471i \(-0.734128\pi\)
0.306641 + 0.951825i \(0.400795\pi\)
\(744\) 4.06497 + 7.04073i 0.149029 + 0.258126i
\(745\) 1.77945 3.30704i 0.0651940 0.121160i
\(746\) 28.4125i 1.04026i
\(747\) 4.83322 2.79046i 0.176838 0.102098i
\(748\) −26.3863 −0.964779
\(749\) −16.7256 + 28.9696i −0.611141 + 1.05853i
\(750\) −1.00332 11.1352i −0.0366360 0.406601i
\(751\) 4.70945 0.171850 0.0859252 0.996302i \(-0.472615\pi\)
0.0859252 + 0.996302i \(0.472615\pi\)
\(752\) −1.68192 0.971059i −0.0613334 0.0354109i
\(753\) 14.4519 + 25.0313i 0.526655 + 0.912193i
\(754\) 6.62764i 0.241364i
\(755\) 32.7760 0.982048i 1.19284 0.0357404i
\(756\) 1.90154 3.29356i 0.0691583 0.119786i
\(757\) −15.3612 + 26.6063i −0.558311 + 0.967022i 0.439327 + 0.898327i \(0.355217\pi\)
−0.997638 + 0.0686950i \(0.978116\pi\)
\(758\) 2.60445 + 4.51103i 0.0945978 + 0.163848i
\(759\) −0.218954 + 0.126413i −0.00794753 + 0.00458851i
\(760\) 0.0770330 + 2.57098i 0.00279428 + 0.0932594i
\(761\) −1.51563 + 2.62515i −0.0549415 + 0.0951615i −0.892188 0.451664i \(-0.850831\pi\)
0.837247 + 0.546826i \(0.184164\pi\)
\(762\) 8.80034 15.2426i 0.318803 0.552182i
\(763\) 40.5738 1.46887
\(764\) −11.3667 + 6.56255i −0.411232 + 0.237425i
\(765\) 15.3198 0.459019i 0.553889 0.0165959i
\(766\) 6.08947 0.220022
\(767\) 5.31565i 0.191937i
\(768\) −0.866025 0.500000i −0.0312500 0.0180422i
\(769\) 32.6155i 1.17615i −0.808808 0.588073i \(-0.799887\pi\)
0.808808 0.588073i \(-0.200113\pi\)
\(770\) 28.8284 + 15.5120i 1.03890 + 0.559012i
\(771\) 9.42920i 0.339584i
\(772\) 0.887727 + 1.53759i 0.0319500 + 0.0553390i
\(773\) −0.947360 + 0.546959i −0.0340742 + 0.0196727i −0.516940 0.856021i \(-0.672929\pi\)
0.482866 + 0.875694i \(0.339596\pi\)
\(774\) −5.02016 8.69516i −0.180446 0.312541i
\(775\) 33.9236 22.3961i 1.21857 0.804490i
\(776\) −2.90742 −0.104370