Properties

Label 1110.2.ba.a.529.10
Level $1110$
Weight $2$
Character 1110.529
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 529.10
Character \(\chi\) \(=\) 1110.529
Dual form 1110.2.ba.a.619.10

$q$-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 \(\left(\mathbb{Z}/1110\mathbb{Z}\right)^\times\).

\(n\) \(371\) \(631\) \(667\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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 −0.274773 0.961509i \(-0.588603\pi\)
−0.970078 + 0.242795i \(0.921936\pi\)
\(8\) 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 −0.644627 0.764497i \(-0.722987\pi\)
0.984387 + 0.176015i \(0.0563208\pi\)
\(14\) 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 −0.897082 0.441863i \(-0.854318\pi\)
0.0658765 0.997828i \(-0.479016\pi\)
\(18\) 0.500000 0.866025i 0.117851 0.204124i
\(19\) −0.996184 0.575147i −0.228540 0.131948i 0.381358 0.924427i \(-0.375456\pi\)
−0.609899 + 0.792480i \(0.708790\pi\)
\(20\) −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 \(0.0808131\pi\)
−0.967945 + 0.251163i \(0.919187\pi\)
\(30\) 1.96911 1.05954i 0.359508 0.193444i
\(31\) 8.12994i 1.46018i −0.683351 0.730090i \(-0.739478\pi\)
0.683351 0.730090i \(-0.260522\pi\)
\(32\) −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 −0.846695 0.532078i \(-0.821411\pi\)
0.884141 + 0.467221i \(0.154745\pi\)
\(42\) −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 \(-0.954761\pi\)
0.989918 0.141643i \(-0.0452386\pi\)
\(48\) 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 −0.130131 0.991497i \(-0.541540\pi\)
0.793596 + 0.608445i \(0.208206\pi\)
\(54\) 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 −0.372680 0.927960i \(-0.621561\pi\)
0.617297 + 0.786730i \(0.288228\pi\)
\(60\) −1.90214 1.17553i −0.245565 0.151760i
\(61\) −4.07230 2.35114i −0.521405 0.301033i 0.216105 0.976370i \(-0.430665\pi\)
−0.737509 + 0.675337i \(0.763998\pi\)
\(62\) −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 0.0308975 0.999523i \(-0.490163\pi\)
−0.850163 + 0.526519i \(0.823497\pi\)
\(68\) 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 −0.997807 0.0661878i \(-0.978916\pi\)
0.556224 + 0.831032i \(0.312250\pi\)
\(72\) 0.500000 + 0.866025i 0.0589256 + 0.102062i
\(73\) 6.82160i 0.798408i −0.916862 0.399204i \(-0.869287\pi\)
0.916862 0.399204i \(-0.130713\pi\)
\(74\) −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 0.637745 0.770247i \(-0.279867\pi\)
−0.348181 + 0.937427i \(0.613201\pi\)
\(80\) 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 −0.210711 0.977548i \(-0.567578\pi\)
0.741226 + 0.671255i \(0.234245\pi\)
\(84\) 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 −0.0879270 0.996127i \(-0.528024\pi\)
0.818708 + 0.574211i \(0.194691\pi\)
\(90\) 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 0.820760 0.571273i \(-0.193550\pi\)
−0.0843572 + 0.996436i \(0.526884\pi\)
\(108\) −0.866025 0.500000i −0.0833333 0.0481125i
\(109\) −9.23933 + 5.33433i −0.884968 + 0.510936i −0.872293 0.488983i \(-0.837368\pi\)
−0.0126746 + 0.999920i \(0.504035\pi\)
\(110\) −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 0.971227 0.238157i \(-0.0765432\pi\)
−0.691863 + 0.722029i \(0.743210\pi\)
\(114\) −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 −0.988608 0.150512i \(-0.951908\pi\)
−0.363957 + 0.931416i \(0.618574\pi\)
\(128\) −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 −0.958963 0.283532i \(-0.908494\pi\)
−0.233935 + 0.972252i \(0.575160\pi\)
\(132\) 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 \(0.260656\pi\)
−0.683044 + 0.730377i \(0.739344\pi\)
\(138\) 0.0656760i 0.00559072i
\(139\) −8.88756 15.3937i −0.753833 1.30568i −0.945952 0.324306i \(-0.894869\pi\)
0.192119 0.981372i \(-0.438464\pi\)
\(140\) 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 −0.396619 0.917983i \(-0.629817\pi\)
0.993306 0.115510i \(-0.0368501\pi\)
\(152\) −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 −0.945858 0.324581i \(-0.894777\pi\)
−0.191834 + 0.981427i \(0.561443\pi\)
\(158\) 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 0.937527 + 0.347911i \(0.113109\pi\)
−0.167464 + 0.985878i \(0.553558\pi\)
\(164\) 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 −0.995268 0.0971667i \(-0.969022\pi\)
0.581783 + 0.813344i \(0.302355\pi\)
\(168\) −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 −0.813223 0.581952i \(-0.802289\pi\)
0.0973739 + 0.995248i \(0.468956\pi\)
\(174\) 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 \(-0.898871\pi\)
0.949954 0.312388i \(-0.101129\pi\)
\(180\) −1.05954 1.96911i −0.0789732 0.146769i
\(181\) 9.39587 16.2741i 0.698389 1.20965i −0.270635 0.962682i \(-0.587234\pi\)
0.969025 0.246964i \(-0.0794329\pi\)
\(182\) 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 \(0.157498\pi\)
−0.880067 + 0.474850i \(0.842502\pi\)
\(192\) 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 0.305047 0.952337i \(-0.401328\pi\)
0.977272 + 0.211990i \(0.0679944\pi\)
\(198\) −1.92480 + 3.33385i −0.136790 + 0.236926i
\(199\) 22.9945i 1.63003i −0.579437 0.815017i \(-0.696727\pi\)
0.579437 0.815017i \(-0.303273\pi\)
\(200\) −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 \(0.263180\pi\)
−0.677230 + 0.735771i \(0.736820\pi\)
\(224\) 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 −0.617637 0.786463i \(-0.711910\pi\)
0.989916 + 0.141658i \(0.0452434\pi\)
\(228\) 1.15029 0.0761801
\(229\) −8.04647 + 13.9369i −0.531726 + 0.920976i 0.467588 + 0.883946i \(0.345123\pi\)
−0.999314 + 0.0370298i \(0.988210\pi\)
\(230\) 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 \(-0.723077\pi\)
0.644843 0.764315i \(-0.276923\pi\)
\(234\) −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 −0.516542 0.856262i \(-0.672781\pi\)
0.483273 + 0.875470i \(0.339448\pi\)
\(240\) 1.96911 1.05954i 0.127105 0.0683928i
\(241\) 9.13422 + 5.27364i 0.588387 + 0.339705i 0.764459 0.644672i \(-0.223006\pi\)
−0.176073 + 0.984377i \(0.556339\pi\)
\(242\) −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 \(-0.634388\pi\)
0.409761 0.912193i \(-0.365612\pi\)
\(252\) 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 0.974772 0.223201i \(-0.0716506\pi\)
−0.680684 + 0.732577i \(0.738317\pi\)
\(258\) 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 0.969321 + 0.245796i \(0.0790495\pi\)
0.697527 + 0.716559i \(0.254284\pi\)
\(264\) −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 0.748865 0.662722i \(-0.230599\pi\)
−0.948367 + 0.317175i \(0.897266\pi\)
\(272\) −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 −0.590170 0.807279i \(-0.700939\pi\)
0.994209 + 0.107463i \(0.0342726\pi\)
\(278\) −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 0.343477 0.939161i \(-0.388395\pi\)
0.985076 + 0.172121i \(0.0550621\pi\)
\(282\) −1.94212 −0.115651
\(283\) 9.20159 15.9376i 0.546978 0.947394i −0.451502 0.892270i \(-0.649111\pi\)
0.998480 0.0551234i \(-0.0175552\pi\)
\(284\) −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 0.0335831 0.999436i \(-0.489308\pi\)
−0.848745 + 0.528802i \(0.822641\pi\)
\(294\) 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 \(-0.746586\pi\)
0.699482 0.714650i \(-0.253414\pi\)
\(308\) −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 −0.870309 0.492506i \(-0.836081\pi\)
−0.00863174 + 0.999963i \(0.502748\pi\)
\(312\) 2.12180 1.22502i 0.120123 0.0693532i
\(313\) 5.62602 + 9.74455i 0.318001 + 0.550795i 0.980071 0.198648i \(-0.0636550\pi\)
−0.662070 + 0.749442i \(0.730322\pi\)
\(314\) 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 −0.563138 0.826363i \(-0.690406\pi\)
0.434082 + 0.900873i \(0.357073\pi\)
\(318\) −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 −0.00493151 0.999988i \(-0.501570\pi\)
0.863549 + 0.504265i \(0.168236\pi\)
\(332\) 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 0.887967 0.459907i \(-0.152117\pi\)
0.0456926 + 0.998956i \(0.485451\pi\)
\(338\) 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 0.970529 + 0.240985i \(0.0774706\pi\)
−0.276565 + 0.960995i \(0.589196\pi\)
\(350\) −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 0.916893 0.399134i \(-0.130689\pi\)
−0.804106 + 0.594485i \(0.797356\pi\)
\(354\) −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 0.481336 0.876536i \(-0.340152\pi\)
−0.518435 + 0.855117i \(0.673485\pi\)
\(368\) −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 −0.298301 0.954472i \(-0.596420\pi\)
−0.975747 + 0.218899i \(0.929753\pi\)
\(374\) 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 0.925131 0.379647i \(-0.123955\pi\)
−0.791350 + 0.611364i \(0.790621\pi\)
\(380\) 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 −0.933270 0.359177i \(-0.883058\pi\)
0.777691 + 0.628647i \(0.216391\pi\)
\(384\) 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 −0.278549 0.960422i \(-0.589853\pi\)
−0.971024 + 0.238981i \(0.923187\pi\)
\(390\) 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 \(0.336392\pi\)
−0.491656 + 0.870790i \(0.663608\pi\)
\(398\) −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 \(0.0103777\pi\)
−0.999469 + 0.0325967i \(0.989622\pi\)
\(402\) −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 −0.0611167 0.998131i \(-0.519466\pi\)
0.833848 + 0.551994i \(0.186133\pi\)
\(410\) −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 0.806936 0.590639i \(-0.201124\pi\)
−0.914976 + 0.403507i \(0.867791\pi\)
\(420\) 4.02950 + 7.48867i 0.196620 + 0.365410i
\(421\) 36.6940i 1.78835i −0.447713 0.894177i \(-0.647761\pi\)
0.447713 0.894177i \(-0.352239\pi\)
\(422\) −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 0.661478 0.749965i \(-0.269930\pi\)
−0.318750 + 0.947839i \(0.603263\pi\)
\(432\) 0.866025 0.500000i 0.0416667 0.0240563i
\(433\) 35.2652i 1.69474i −0.531005 0.847368i \(-0.678186\pi\)
0.531005 0.847368i \(-0.321814\pi\)
\(434\) 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 0.481116 0.876657i \(-0.340232\pi\)
−0.518649 + 0.854987i \(0.673565\pi\)
\(440\) −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 \(0.312508\pi\)
−0.555548 + 0.831484i \(0.687492\pi\)
\(444\) −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 0.849620 0.527395i \(-0.176831\pi\)
−0.0319278 + 0.999490i \(0.510165\pi\)
\(450\) 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 −0.975755 0.218864i \(-0.929765\pi\)
0.677420 + 0.735597i \(0.263098\pi\)
\(458\) 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 0.0194288 0.999811i \(-0.493815\pi\)
0.875576 + 0.483080i \(0.160482\pi\)
\(462\) 7.32017 12.6789i 0.340565 0.589876i
\(463\) 6.56761 11.3754i 0.305223 0.528661i −0.672088 0.740471i \(-0.734602\pi\)
0.977311 + 0.211810i \(0.0679358\pi\)
\(464\) 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 −0.704239 0.709963i \(-0.748712\pi\)
0.262726 + 0.964870i \(0.415378\pi\)
\(480\) −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 −0.243453 0.969913i \(-0.578280\pi\)
−0.961696 + 0.274119i \(0.911614\pi\)
\(500\) 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 0.958642 0.284616i \(-0.0918660\pi\)
−0.725805 + 0.687900i \(0.758533\pi\)
\(504\) 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 0.633977 0.773352i \(-0.281421\pi\)
−0.986731 + 0.162365i \(0.948088\pi\)
\(510\) −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 0.332161 + 0.943223i \(0.392222\pi\)
−0.982935 + 0.183951i \(0.941111\pi\)
\(522\) 2.34269 + 1.35255i 0.102537 + 0.0591997i
\(523\) 18.5161 32.0708i 0.809651 1.40236i −0.103455 0.994634i \(-0.532990\pi\)
0.913106 0.407723i \(-0.133677\pi\)
\(524\) 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 \(-0.958954\pi\)
0.991697 0.128594i \(-0.0410464\pi\)
\(542\) −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 0.891563 0.452896i \(-0.149609\pi\)
−0.838001 + 0.545668i \(0.816276\pi\)
\(558\) −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 \(-0.872615\pi\)
0.920986 0.389596i \(-0.127385\pi\)
\(570\) −2.57098 0.0770330i −0.107687 0.00322656i
\(571\) 0.540231 + 0.935708i 0.0226080 + 0.0391582i 0.877108 0.480293i \(-0.159470\pi\)
−0.854500 + 0.519451i \(0.826136\pi\)
\(572\) −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 0.997428 + 0.0716745i \(0.0228343\pi\)
−0.436642 + 0.899635i \(0.643832\pi\)
\(578\) 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 −0.674590 0.738192i \(-0.735680\pi\)
0.976588 + 0.215116i \(0.0690130\pi\)
\(588\) −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 \(-0.941271\pi\)
0.983028 0.183457i \(-0.0587287\pi\)
\(594\) −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 0.0540178 + 0.998540i \(0.482797\pi\)
−0.891770 + 0.452489i \(0.850536\pi\)
\(600\) −4.47204 + 2.23627i −0.182570 + 0.0912952i
\(601\) −20.0982 34.8112i −0.819824 1.41998i −0.905812 0.423680i \(-0.860738\pi\)
0.0859879 0.996296i \(-0.472595\pi\)
\(602\) 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 0.550172 0.835051i \(-0.314562\pi\)
−0.998262 + 0.0589376i \(0.981229\pi\)
\(608\) 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 −0.497033 0.867732i \(-0.665577\pi\)
0.502961 + 0.864309i \(0.332244\pi\)
\(614\) −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 −0.999715 0.0238625i \(-0.992404\pi\)
−0.479192 + 0.877710i \(0.659070\pi\)
\(618\) 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 −0.471031 0.882117i \(-0.656118\pi\)
0.528420 + 0.848983i \(0.322785\pi\)
\(632\) 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 0.965244 0.261350i \(-0.0841677\pi\)
−0.708958 + 0.705251i \(0.750834\pi\)
\(642\) 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 0.335030 0.942207i \(-0.391253\pi\)
0.648460 0.761248i \(-0.275413\pi\)
\(648\) −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 −0.923047 0.384687i \(-0.874309\pi\)
0.794672 + 0.607039i \(0.207643\pi\)
\(654\) 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 0.147203 0.989106i \(-0.452973\pi\)
0.782989 0.622035i \(-0.213694\pi\)
\(660\) 7.32247 + 4.52531i 0.285027 + 0.176148i
\(661\) 31.6257 + 18.2591i 1.23010 + 0.710197i 0.967050 0.254586i \(-0.0819391\pi\)
0.263047 + 0.964783i \(0.415272\pi\)
\(662\) −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 0.564066 0.825730i \(-0.309236\pi\)
−0.433070 + 0.901360i \(0.642570\pi\)
\(674\) 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 \(-0.830158\pi\)
0.860994 0.508615i \(-0.169842\pi\)
\(678\) 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 0.711533 0.702653i \(-0.248001\pi\)
−0.964282 + 0.264879i \(0.914668\pi\)
\(684\) 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 0.810158 + 0.586212i \(0.199381\pi\)
0.102596 + 0.994723i \(0.467285\pi\)
\(692\) 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 −0.732408 0.680866i \(-0.761603\pi\)
0.223444 + 0.974717i \(0.428270\pi\)
\(702\) 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 \(-0.999278\pi\)
0.999997 0.00226676i \(-0.000721533\pi\)
\(710\) 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 0.992385 0.123173i \(-0.0393072\pi\)
−0.602864 + 0.797844i \(0.705974\pi\)
\(720\) 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 −0.452155 0.891939i \(-0.649345\pi\)
0.998520 0.0543916i \(-0.0173219\pi\)
\(728\) −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 0.786322 0.617817i \(-0.211983\pi\)
−0.141884 + 0.989883i \(0.545316\pi\)
\(734\) 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 0.306641 0.951825i \(-0.400795\pi\)
−0.670985 + 0.741471i \(0.734128\pi\)
\(744\) 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 −0.997638 0.0686950i \(-0.978116\pi\)
0.439327 0.898327i \(-0.355217\pi\)
\(758\) 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 0.837247 0.546826i \(-0.184164\pi\)
−0.892188 + 0.451664i \(0.850831\pi\)
\(762\) 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 \(0.200113\pi\)
−0.808808 + 0.588073i \(0.799887\pi\)
\(770\) 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 0.482866 0.875694i \(-0.339596\pi\)
−0.516940 + 0.856021i \(0.672929\pi\)
\(774\) −5.02016 + 8.69516i −0.180446 + 0.312541i
\(775\) 33.9236 + 22.3961i 1.21857 + 0.804490i
\(776\) −2.90742 −0.104370