Properties

Label 930.2.o.e.161.10
Level $930$
Weight $2$
Character 930.161
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(20\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 161.10
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.20

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(1.64686 - 0.536508i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(-0.536508 - 1.64686i) q^{6} +(0.615418 + 1.06593i) q^{7} +1.00000i q^{8} +(2.42432 - 1.76711i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(1.64686 - 0.536508i) q^{3} -1.00000 q^{4} +(0.866025 + 0.500000i) q^{5} +(-0.536508 - 1.64686i) q^{6} +(0.615418 + 1.06593i) q^{7} +1.00000i q^{8} +(2.42432 - 1.76711i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-0.427947 + 0.741226i) q^{11} +(-1.64686 + 0.536508i) q^{12} +(4.88495 + 2.82033i) q^{13} +(1.06593 - 0.615418i) q^{14} +(1.69448 + 0.358802i) q^{15} +1.00000 q^{16} +(3.42474 + 5.93182i) q^{17} +(-1.76711 - 2.42432i) q^{18} +(-0.242571 - 0.420145i) q^{19} +(-0.866025 - 0.500000i) q^{20} +(1.58539 + 1.42527i) q^{21} +(0.741226 + 0.427947i) q^{22} -7.95781 q^{23} +(0.536508 + 1.64686i) q^{24} +(0.500000 + 0.866025i) q^{25} +(2.82033 - 4.88495i) q^{26} +(3.04445 - 4.21086i) q^{27} +(-0.615418 - 1.06593i) q^{28} +1.17589 q^{29} +(0.358802 - 1.69448i) q^{30} +(-1.91832 - 5.22686i) q^{31} -1.00000i q^{32} +(-0.307097 + 1.45030i) q^{33} +(5.93182 - 3.42474i) q^{34} +1.23084i q^{35} +(-2.42432 + 1.76711i) q^{36} +(7.56493 - 4.36761i) q^{37} +(-0.420145 + 0.242571i) q^{38} +(9.55797 + 2.02388i) q^{39} +(-0.500000 + 0.866025i) q^{40} +(-6.21998 - 3.59111i) q^{41} +(1.42527 - 1.58539i) q^{42} +(-4.37834 + 2.52784i) q^{43} +(0.427947 - 0.741226i) q^{44} +(2.98308 - 0.318204i) q^{45} +7.95781i q^{46} -2.88870i q^{47} +(1.64686 - 0.536508i) q^{48} +(2.74252 - 4.75019i) q^{49} +(0.866025 - 0.500000i) q^{50} +(8.82254 + 7.93149i) q^{51} +(-4.88495 - 2.82033i) q^{52} +(-0.346231 + 0.599690i) q^{53} +(-4.21086 - 3.04445i) q^{54} +(-0.741226 + 0.427947i) q^{55} +(-1.06593 + 0.615418i) q^{56} +(-0.624892 - 0.561780i) q^{57} -1.17589i q^{58} +(-0.639178 + 0.369029i) q^{59} +(-1.69448 - 0.358802i) q^{60} +6.48651i q^{61} +(-5.22686 + 1.91832i) q^{62} +(3.37559 + 1.49665i) q^{63} -1.00000 q^{64} +(2.82033 + 4.88495i) q^{65} +(1.45030 + 0.307097i) q^{66} +(4.07315 - 7.05491i) q^{67} +(-3.42474 - 5.93182i) q^{68} +(-13.1054 + 4.26943i) q^{69} +1.23084 q^{70} +(-3.36751 - 1.94423i) q^{71} +(1.76711 + 2.42432i) q^{72} +(-4.44599 - 2.56690i) q^{73} +(-4.36761 - 7.56493i) q^{74} +(1.28806 + 1.15797i) q^{75} +(0.242571 + 0.420145i) q^{76} -1.05346 q^{77} +(2.02388 - 9.55797i) q^{78} +(2.99903 - 1.73149i) q^{79} +(0.866025 + 0.500000i) q^{80} +(2.75464 - 8.56808i) q^{81} +(-3.59111 + 6.21998i) q^{82} +(1.20254 - 2.08287i) q^{83} +(-1.58539 - 1.42527i) q^{84} +6.84947i q^{85} +(2.52784 + 4.37834i) q^{86} +(1.93654 - 0.630876i) q^{87} +(-0.741226 - 0.427947i) q^{88} +5.45985 q^{89} +(-0.318204 - 2.98308i) q^{90} +6.94272i q^{91} +7.95781 q^{92} +(-5.96347 - 7.57872i) q^{93} -2.88870 q^{94} -0.485142i q^{95} +(-0.536508 - 1.64686i) q^{96} -5.55358 q^{97} +(-4.75019 - 2.74252i) q^{98} +(0.272349 + 2.55320i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + O(q^{10}) \) \( 40q + 6q^{3} - 40q^{4} - 12q^{7} - 2q^{9} + 20q^{10} - 6q^{12} - 12q^{13} + 40q^{16} - 12q^{18} - 12q^{19} + 12q^{21} - 24q^{22} + 20q^{25} + 12q^{28} + 8q^{31} + 52q^{33} + 24q^{34} + 2q^{36} + 60q^{37} - 8q^{39} - 20q^{40} + 12q^{42} + 24q^{43} - 12q^{45} + 6q^{48} - 4q^{49} + 14q^{51} + 12q^{52} + 24q^{55} - 12q^{57} - 40q^{64} + 8q^{66} + 64q^{67} - 26q^{69} - 24q^{70} + 12q^{72} + 6q^{75} + 12q^{76} - 68q^{78} - 48q^{79} + 2q^{81} + 4q^{82} - 12q^{84} + 36q^{87} + 24q^{88} + 2q^{90} - 22q^{93} - 40q^{94} + 8q^{97} - 90q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) 1.64686 0.536508i 0.950817 0.309753i
\(4\) −1.00000 −0.500000
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) −0.536508 1.64686i −0.219028 0.672329i
\(7\) 0.615418 + 1.06593i 0.232606 + 0.402885i 0.958574 0.284843i \(-0.0919414\pi\)
−0.725968 + 0.687728i \(0.758608\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 2.42432 1.76711i 0.808106 0.589037i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) −0.427947 + 0.741226i −0.129031 + 0.223488i −0.923301 0.384076i \(-0.874520\pi\)
0.794270 + 0.607564i \(0.207853\pi\)
\(12\) −1.64686 + 0.536508i −0.475409 + 0.154877i
\(13\) 4.88495 + 2.82033i 1.35484 + 0.782218i 0.988923 0.148429i \(-0.0474217\pi\)
0.365918 + 0.930647i \(0.380755\pi\)
\(14\) 1.06593 0.615418i 0.284883 0.164477i
\(15\) 1.69448 + 0.358802i 0.437513 + 0.0926423i
\(16\) 1.00000 0.250000
\(17\) 3.42474 + 5.93182i 0.830620 + 1.43868i 0.897547 + 0.440919i \(0.145347\pi\)
−0.0669268 + 0.997758i \(0.521319\pi\)
\(18\) −1.76711 2.42432i −0.416512 0.571417i
\(19\) −0.242571 0.420145i −0.0556496 0.0963879i 0.836859 0.547419i \(-0.184390\pi\)
−0.892508 + 0.451031i \(0.851056\pi\)
\(20\) −0.866025 0.500000i −0.193649 0.111803i
\(21\) 1.58539 + 1.42527i 0.345961 + 0.311020i
\(22\) 0.741226 + 0.427947i 0.158030 + 0.0912386i
\(23\) −7.95781 −1.65932 −0.829660 0.558270i \(-0.811465\pi\)
−0.829660 + 0.558270i \(0.811465\pi\)
\(24\) 0.536508 + 1.64686i 0.109514 + 0.336165i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 2.82033 4.88495i 0.553112 0.958017i
\(27\) 3.04445 4.21086i 0.585905 0.810380i
\(28\) −0.615418 1.06593i −0.116303 0.201443i
\(29\) 1.17589 0.218358 0.109179 0.994022i \(-0.465178\pi\)
0.109179 + 0.994022i \(0.465178\pi\)
\(30\) 0.358802 1.69448i 0.0655080 0.309368i
\(31\) −1.91832 5.22686i −0.344541 0.938771i
\(32\) 1.00000i 0.176777i
\(33\) −0.307097 + 1.45030i −0.0534587 + 0.252464i
\(34\) 5.93182 3.42474i 1.01730 0.587337i
\(35\) 1.23084i 0.208049i
\(36\) −2.42432 + 1.76711i −0.404053 + 0.294518i
\(37\) 7.56493 4.36761i 1.24367 0.718031i 0.273828 0.961779i \(-0.411710\pi\)
0.969839 + 0.243747i \(0.0783768\pi\)
\(38\) −0.420145 + 0.242571i −0.0681565 + 0.0393502i
\(39\) 9.55797 + 2.02388i 1.53050 + 0.324080i
\(40\) −0.500000 + 0.866025i −0.0790569 + 0.136931i
\(41\) −6.21998 3.59111i −0.971398 0.560837i −0.0717356 0.997424i \(-0.522854\pi\)
−0.899662 + 0.436587i \(0.856187\pi\)
\(42\) 1.42527 1.58539i 0.219924 0.244631i
\(43\) −4.37834 + 2.52784i −0.667691 + 0.385492i −0.795201 0.606346i \(-0.792635\pi\)
0.127510 + 0.991837i \(0.459301\pi\)
\(44\) 0.427947 0.741226i 0.0645155 0.111744i
\(45\) 2.98308 0.318204i 0.444691 0.0474350i
\(46\) 7.95781i 1.17332i
\(47\) 2.88870i 0.421360i −0.977555 0.210680i \(-0.932432\pi\)
0.977555 0.210680i \(-0.0675679\pi\)
\(48\) 1.64686 0.536508i 0.237704 0.0774383i
\(49\) 2.74252 4.75019i 0.391789 0.678598i
\(50\) 0.866025 0.500000i 0.122474 0.0707107i
\(51\) 8.82254 + 7.93149i 1.23540 + 1.11063i
\(52\) −4.88495 2.82033i −0.677421 0.391109i
\(53\) −0.346231 + 0.599690i −0.0475585 + 0.0823738i −0.888825 0.458247i \(-0.848477\pi\)
0.841266 + 0.540621i \(0.181811\pi\)
\(54\) −4.21086 3.04445i −0.573025 0.414297i
\(55\) −0.741226 + 0.427947i −0.0999469 + 0.0577044i
\(56\) −1.06593 + 0.615418i −0.142442 + 0.0822386i
\(57\) −0.624892 0.561780i −0.0827690 0.0744096i
\(58\) 1.17589i 0.154402i
\(59\) −0.639178 + 0.369029i −0.0832138 + 0.0480435i −0.541030 0.841004i \(-0.681965\pi\)
0.457816 + 0.889047i \(0.348632\pi\)
\(60\) −1.69448 0.358802i −0.218756 0.0463212i
\(61\) 6.48651i 0.830512i 0.909705 + 0.415256i \(0.136308\pi\)
−0.909705 + 0.415256i \(0.863692\pi\)
\(62\) −5.22686 + 1.91832i −0.663811 + 0.243627i
\(63\) 3.37559 + 1.49665i 0.425285 + 0.188561i
\(64\) −1.00000 −0.125000
\(65\) 2.82033 + 4.88495i 0.349818 + 0.605903i
\(66\) 1.45030 + 0.307097i 0.178519 + 0.0378010i
\(67\) 4.07315 7.05491i 0.497615 0.861894i −0.502382 0.864646i \(-0.667543\pi\)
0.999996 + 0.00275216i \(0.000876040\pi\)
\(68\) −3.42474 5.93182i −0.415310 0.719338i
\(69\) −13.1054 + 4.26943i −1.57771 + 0.513979i
\(70\) 1.23084 0.147113
\(71\) −3.36751 1.94423i −0.399650 0.230738i 0.286683 0.958026i \(-0.407447\pi\)
−0.686333 + 0.727287i \(0.740781\pi\)
\(72\) 1.76711 + 2.42432i 0.208256 + 0.285709i
\(73\) −4.44599 2.56690i −0.520364 0.300432i 0.216719 0.976234i \(-0.430464\pi\)
−0.737084 + 0.675801i \(0.763798\pi\)
\(74\) −4.36761 7.56493i −0.507725 0.879405i
\(75\) 1.28806 + 1.15797i 0.148733 + 0.133711i
\(76\) 0.242571 + 0.420145i 0.0278248 + 0.0481939i
\(77\) −1.05346 −0.120053
\(78\) 2.02388 9.55797i 0.229159 1.08223i
\(79\) 2.99903 1.73149i 0.337417 0.194808i −0.321712 0.946838i \(-0.604258\pi\)
0.659129 + 0.752030i \(0.270925\pi\)
\(80\) 0.866025 + 0.500000i 0.0968246 + 0.0559017i
\(81\) 2.75464 8.56808i 0.306071 0.952009i
\(82\) −3.59111 + 6.21998i −0.396571 + 0.686882i
\(83\) 1.20254 2.08287i 0.131996 0.228624i −0.792450 0.609937i \(-0.791195\pi\)
0.924446 + 0.381313i \(0.124528\pi\)
\(84\) −1.58539 1.42527i −0.172980 0.155510i
\(85\) 6.84947i 0.742929i
\(86\) 2.52784 + 4.37834i 0.272584 + 0.472129i
\(87\) 1.93654 0.630876i 0.207618 0.0676370i
\(88\) −0.741226 0.427947i −0.0790150 0.0456193i
\(89\) 5.45985 0.578742 0.289371 0.957217i \(-0.406554\pi\)
0.289371 + 0.957217i \(0.406554\pi\)
\(90\) −0.318204 2.98308i −0.0335416 0.314444i
\(91\) 6.94272i 0.727794i
\(92\) 7.95781 0.829660
\(93\) −5.96347 7.57872i −0.618383 0.785877i
\(94\) −2.88870 −0.297947
\(95\) 0.485142i 0.0497745i
\(96\) −0.536508 1.64686i −0.0547571 0.168082i
\(97\) −5.55358 −0.563880 −0.281940 0.959432i \(-0.590978\pi\)
−0.281940 + 0.959432i \(0.590978\pi\)
\(98\) −4.75019 2.74252i −0.479841 0.277037i
\(99\) 0.272349 + 2.55320i 0.0273721 + 0.256606i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 4.31376i 0.429235i 0.976698 + 0.214618i \(0.0688506\pi\)
−0.976698 + 0.214618i \(0.931149\pi\)
\(102\) 7.93149 8.82254i 0.785335 0.873561i
\(103\) −2.73994 + 4.74572i −0.269975 + 0.467610i −0.968855 0.247629i \(-0.920349\pi\)
0.698880 + 0.715239i \(0.253682\pi\)
\(104\) −2.82033 + 4.88495i −0.276556 + 0.479009i
\(105\) 0.660353 + 2.02702i 0.0644439 + 0.197817i
\(106\) 0.599690 + 0.346231i 0.0582471 + 0.0336290i
\(107\) 8.01947 4.63004i 0.775271 0.447603i −0.0594807 0.998229i \(-0.518944\pi\)
0.834752 + 0.550627i \(0.185611\pi\)
\(108\) −3.04445 + 4.21086i −0.292953 + 0.405190i
\(109\) −20.3111 −1.94545 −0.972727 0.231951i \(-0.925489\pi\)
−0.972727 + 0.231951i \(0.925489\pi\)
\(110\) 0.427947 + 0.741226i 0.0408032 + 0.0706731i
\(111\) 10.1151 11.2515i 0.960087 1.06795i
\(112\) 0.615418 + 1.06593i 0.0581515 + 0.100721i
\(113\) −16.5283 9.54261i −1.55485 0.897693i −0.997736 0.0672575i \(-0.978575\pi\)
−0.557114 0.830436i \(-0.688092\pi\)
\(114\) −0.561780 + 0.624892i −0.0526156 + 0.0585265i
\(115\) −6.89167 3.97891i −0.642652 0.371035i
\(116\) −1.17589 −0.109179
\(117\) 16.8265 1.79488i 1.55561 0.165937i
\(118\) 0.369029 + 0.639178i 0.0339719 + 0.0588411i
\(119\) −4.21529 + 7.30109i −0.386415 + 0.669290i
\(120\) −0.358802 + 1.69448i −0.0327540 + 0.154684i
\(121\) 5.13372 + 8.89187i 0.466702 + 0.808352i
\(122\) 6.48651 0.587261
\(123\) −12.1701 2.57699i −1.09734 0.232360i
\(124\) 1.91832 + 5.22686i 0.172271 + 0.469386i
\(125\) 1.00000i 0.0894427i
\(126\) 1.49665 3.37559i 0.133333 0.300722i
\(127\) −10.5175 + 6.07226i −0.933273 + 0.538826i −0.887845 0.460142i \(-0.847799\pi\)
−0.0454281 + 0.998968i \(0.514465\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) −5.85433 + 6.51202i −0.515445 + 0.573351i
\(130\) 4.88495 2.82033i 0.428438 0.247359i
\(131\) −7.08508 + 4.09057i −0.619026 + 0.357395i −0.776490 0.630130i \(-0.783002\pi\)
0.157464 + 0.987525i \(0.449668\pi\)
\(132\) 0.307097 1.45030i 0.0267293 0.126232i
\(133\) 0.298565 0.517129i 0.0258889 0.0448408i
\(134\) −7.05491 4.07315i −0.609451 0.351867i
\(135\) 4.74200 2.12448i 0.408126 0.182846i
\(136\) −5.93182 + 3.42474i −0.508649 + 0.293669i
\(137\) 11.1693 19.3458i 0.954258 1.65282i 0.218201 0.975904i \(-0.429981\pi\)
0.736057 0.676919i \(-0.236685\pi\)
\(138\) 4.26943 + 13.1054i 0.363438 + 1.11561i
\(139\) 13.3668i 1.13376i 0.823802 + 0.566878i \(0.191849\pi\)
−0.823802 + 0.566878i \(0.808151\pi\)
\(140\) 1.23084i 0.104025i
\(141\) −1.54981 4.75730i −0.130518 0.400637i
\(142\) −1.94423 + 3.36751i −0.163157 + 0.282595i
\(143\) −4.18100 + 2.41390i −0.349633 + 0.201861i
\(144\) 2.42432 1.76711i 0.202027 0.147259i
\(145\) 1.01835 + 0.587947i 0.0845697 + 0.0488263i
\(146\) −2.56690 + 4.44599i −0.212438 + 0.367953i
\(147\) 1.96805 9.29430i 0.162322 0.766581i
\(148\) −7.56493 + 4.36761i −0.621833 + 0.359016i
\(149\) 7.71061 4.45172i 0.631678 0.364700i −0.149724 0.988728i \(-0.547838\pi\)
0.781402 + 0.624028i \(0.214505\pi\)
\(150\) 1.15797 1.28806i 0.0945480 0.105170i
\(151\) 9.97617i 0.811849i 0.913907 + 0.405925i \(0.133050\pi\)
−0.913907 + 0.405925i \(0.866950\pi\)
\(152\) 0.420145 0.242571i 0.0340783 0.0196751i
\(153\) 18.7848 + 8.32872i 1.51866 + 0.673337i
\(154\) 1.05346i 0.0848906i
\(155\) 0.952111 5.48575i 0.0764754 0.440626i
\(156\) −9.55797 2.02388i −0.765250 0.162040i
\(157\) −3.11711 −0.248772 −0.124386 0.992234i \(-0.539696\pi\)
−0.124386 + 0.992234i \(0.539696\pi\)
\(158\) −1.73149 2.99903i −0.137750 0.238590i
\(159\) −0.248457 + 1.17336i −0.0197039 + 0.0930538i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) −4.89738 8.48251i −0.385968 0.668516i
\(162\) −8.56808 2.75464i −0.673172 0.216425i
\(163\) −1.12144 −0.0878383 −0.0439191 0.999035i \(-0.513984\pi\)
−0.0439191 + 0.999035i \(0.513984\pi\)
\(164\) 6.21998 + 3.59111i 0.485699 + 0.280418i
\(165\) −0.991101 + 1.10244i −0.0771571 + 0.0858252i
\(166\) −2.08287 1.20254i −0.161662 0.0933355i
\(167\) 4.93083 + 8.54044i 0.381559 + 0.660879i 0.991285 0.131733i \(-0.0420541\pi\)
−0.609727 + 0.792612i \(0.708721\pi\)
\(168\) −1.42527 + 1.58539i −0.109962 + 0.122316i
\(169\) 9.40849 + 16.2960i 0.723730 + 1.25354i
\(170\) 6.84947 0.525330
\(171\) −1.33051 0.589916i −0.101747 0.0451120i
\(172\) 4.37834 2.52784i 0.333846 0.192746i
\(173\) 8.74006 + 5.04608i 0.664495 + 0.383646i 0.793987 0.607934i \(-0.208002\pi\)
−0.129493 + 0.991580i \(0.541335\pi\)
\(174\) −0.630876 1.93654i −0.0478266 0.146808i
\(175\) −0.615418 + 1.06593i −0.0465212 + 0.0805771i
\(176\) −0.427947 + 0.741226i −0.0322577 + 0.0558720i
\(177\) −0.854651 + 0.950665i −0.0642395 + 0.0714563i
\(178\) 5.45985i 0.409233i
\(179\) −12.2409 21.2018i −0.914926 1.58470i −0.807009 0.590539i \(-0.798915\pi\)
−0.107917 0.994160i \(-0.534418\pi\)
\(180\) −2.98308 + 0.318204i −0.222345 + 0.0237175i
\(181\) 13.0056 + 7.50878i 0.966697 + 0.558123i 0.898228 0.439530i \(-0.144855\pi\)
0.0684696 + 0.997653i \(0.478188\pi\)
\(182\) 6.94272 0.514628
\(183\) 3.48006 + 10.6824i 0.257254 + 0.789665i
\(184\) 7.95781i 0.586658i
\(185\) 8.73523 0.642227
\(186\) −7.57872 + 5.96347i −0.555699 + 0.437263i
\(187\) −5.86242 −0.428703
\(188\) 2.88870i 0.210680i
\(189\) 6.36211 + 0.653751i 0.462775 + 0.0475534i
\(190\) −0.485142 −0.0351959
\(191\) −10.6075 6.12422i −0.767529 0.443133i 0.0644637 0.997920i \(-0.479466\pi\)
−0.831992 + 0.554787i \(0.812800\pi\)
\(192\) −1.64686 + 0.536508i −0.118852 + 0.0387191i
\(193\) −12.4843 21.6235i −0.898641 1.55649i −0.829232 0.558904i \(-0.811222\pi\)
−0.0694087 0.997588i \(-0.522111\pi\)
\(194\) 5.55358i 0.398724i
\(195\) 7.26551 + 6.53172i 0.520294 + 0.467746i
\(196\) −2.74252 + 4.75019i −0.195894 + 0.339299i
\(197\) 0.823054 1.42557i 0.0586402 0.101568i −0.835215 0.549923i \(-0.814657\pi\)
0.893855 + 0.448356i \(0.147990\pi\)
\(198\) 2.55320 0.272349i 0.181448 0.0193550i
\(199\) 10.0304 + 5.79107i 0.711038 + 0.410518i 0.811445 0.584428i \(-0.198681\pi\)
−0.100407 + 0.994946i \(0.532015\pi\)
\(200\) −0.866025 + 0.500000i −0.0612372 + 0.0353553i
\(201\) 2.92291 13.8037i 0.206166 0.973641i
\(202\) 4.31376 0.303515
\(203\) 0.723666 + 1.25343i 0.0507914 + 0.0879732i
\(204\) −8.82254 7.93149i −0.617701 0.555315i
\(205\) −3.59111 6.21998i −0.250814 0.434422i
\(206\) 4.74572 + 2.73994i 0.330650 + 0.190901i
\(207\) −19.2923 + 14.0623i −1.34091 + 0.977400i
\(208\) 4.88495 + 2.82033i 0.338710 + 0.195554i
\(209\) 0.415230 0.0287221
\(210\) 2.02702 0.660353i 0.139878 0.0455687i
\(211\) −6.37798 11.0470i −0.439078 0.760505i 0.558541 0.829477i \(-0.311361\pi\)
−0.997619 + 0.0689719i \(0.978028\pi\)
\(212\) 0.346231 0.599690i 0.0237793 0.0411869i
\(213\) −6.58893 1.39519i −0.451466 0.0955969i
\(214\) −4.63004 8.01947i −0.316503 0.548199i
\(215\) −5.05568 −0.344794
\(216\) 4.21086 + 3.04445i 0.286513 + 0.207149i
\(217\) 4.39092 5.26151i 0.298075 0.357174i
\(218\) 20.3111i 1.37564i
\(219\) −8.69911 1.84202i −0.587831 0.124472i
\(220\) 0.741226 0.427947i 0.0499735 0.0288522i
\(221\) 38.6355i 2.59890i
\(222\) −11.2515 10.1151i −0.755152 0.678884i
\(223\) −11.4650 + 6.61933i −0.767755 + 0.443263i −0.832073 0.554666i \(-0.812846\pi\)
0.0643184 + 0.997929i \(0.479513\pi\)
\(224\) 1.06593 0.615418i 0.0712208 0.0411193i
\(225\) 2.74252 + 1.21597i 0.182835 + 0.0810644i
\(226\) −9.54261 + 16.5283i −0.634765 + 1.09945i
\(227\) 22.0581 + 12.7352i 1.46405 + 0.845267i 0.999195 0.0401223i \(-0.0127748\pi\)
0.464850 + 0.885389i \(0.346108\pi\)
\(228\) 0.624892 + 0.561780i 0.0413845 + 0.0372048i
\(229\) −14.9883 + 8.65348i −0.990453 + 0.571838i −0.905410 0.424539i \(-0.860436\pi\)
−0.0850433 + 0.996377i \(0.527103\pi\)
\(230\) −3.97891 + 6.89167i −0.262361 + 0.454423i
\(231\) −1.73491 + 0.565192i −0.114149 + 0.0371869i
\(232\) 1.17589i 0.0772012i
\(233\) 22.8670i 1.49806i 0.662534 + 0.749032i \(0.269481\pi\)
−0.662534 + 0.749032i \(0.730519\pi\)
\(234\) −1.79488 16.8265i −0.117335 1.09998i
\(235\) 1.44435 2.50169i 0.0942190 0.163192i
\(236\) 0.639178 0.369029i 0.0416069 0.0240218i
\(237\) 4.01003 4.46053i 0.260480 0.289743i
\(238\) 7.30109 + 4.21529i 0.473259 + 0.273236i
\(239\) −5.26395 + 9.11743i −0.340497 + 0.589758i −0.984525 0.175244i \(-0.943929\pi\)
0.644028 + 0.765002i \(0.277262\pi\)
\(240\) 1.69448 + 0.358802i 0.109378 + 0.0231606i
\(241\) −22.1828 + 12.8072i −1.42892 + 0.824987i −0.997036 0.0769422i \(-0.975484\pi\)
−0.431884 + 0.901929i \(0.642151\pi\)
\(242\) 8.89187 5.13372i 0.571591 0.330008i
\(243\) −0.0603312 15.5883i −0.00387025 0.999993i
\(244\) 6.48651i 0.415256i
\(245\) 4.75019 2.74252i 0.303478 0.175213i
\(246\) −2.57699 + 12.1701i −0.164303 + 0.775938i
\(247\) 2.73652i 0.174120i
\(248\) 5.22686 1.91832i 0.331906 0.121814i
\(249\) 0.862950 4.07537i 0.0546872 0.258266i
\(250\) 1.00000 0.0632456
\(251\) −13.6972 23.7242i −0.864559 1.49746i −0.867484 0.497465i \(-0.834264\pi\)
0.00292446 0.999996i \(-0.499069\pi\)
\(252\) −3.37559 1.49665i −0.212642 0.0942803i
\(253\) 3.40552 5.89854i 0.214103 0.370838i
\(254\) 6.07226 + 10.5175i 0.381007 + 0.659924i
\(255\) 3.67480 + 11.2801i 0.230125 + 0.706390i
\(256\) 1.00000 0.0625000
\(257\) 11.6461 + 6.72386i 0.726462 + 0.419423i 0.817126 0.576459i \(-0.195566\pi\)
−0.0906647 + 0.995881i \(0.528899\pi\)
\(258\) 6.51202 + 5.85433i 0.405421 + 0.364475i
\(259\) 9.31118 + 5.37581i 0.578569 + 0.334037i
\(260\) −2.82033 4.88495i −0.174909 0.302952i
\(261\) 2.85074 2.07793i 0.176456 0.128621i
\(262\) 4.09057 + 7.08508i 0.252716 + 0.437718i
\(263\) 9.48908 0.585122 0.292561 0.956247i \(-0.405493\pi\)
0.292561 + 0.956247i \(0.405493\pi\)
\(264\) −1.45030 0.307097i −0.0892595 0.0189005i
\(265\) −0.599690 + 0.346231i −0.0368387 + 0.0212688i
\(266\) −0.517129 0.298565i −0.0317072 0.0183062i
\(267\) 8.99162 2.92925i 0.550278 0.179267i
\(268\) −4.07315 + 7.05491i −0.248807 + 0.430947i
\(269\) −13.6081 + 23.5699i −0.829700 + 1.43708i 0.0685729 + 0.997646i \(0.478155\pi\)
−0.898273 + 0.439437i \(0.855178\pi\)
\(270\) −2.12448 4.74200i −0.129292 0.288589i
\(271\) 4.22402i 0.256591i −0.991736 0.128296i \(-0.959049\pi\)
0.991736 0.128296i \(-0.0409506\pi\)
\(272\) 3.42474 + 5.93182i 0.207655 + 0.359669i
\(273\) 3.72482 + 11.4337i 0.225437 + 0.691999i
\(274\) −19.3458 11.1693i −1.16872 0.674762i
\(275\) −0.855894 −0.0516124
\(276\) 13.1054 4.26943i 0.788854 0.256990i
\(277\) 16.7112i 1.00408i −0.864845 0.502040i \(-0.832583\pi\)
0.864845 0.502040i \(-0.167417\pi\)
\(278\) 13.3668 0.801687
\(279\) −13.8871 9.28167i −0.831397 0.555679i
\(280\) −1.23084 −0.0735565
\(281\) 0.335407i 0.0200087i 0.999950 + 0.0100043i \(0.00318453\pi\)
−0.999950 + 0.0100043i \(0.996815\pi\)
\(282\) −4.75730 + 1.54981i −0.283293 + 0.0922899i
\(283\) −3.13491 −0.186351 −0.0931754 0.995650i \(-0.529702\pi\)
−0.0931754 + 0.995650i \(0.529702\pi\)
\(284\) 3.36751 + 1.94423i 0.199825 + 0.115369i
\(285\) −0.260282 0.798962i −0.0154178 0.0473264i
\(286\) 2.41390 + 4.18100i 0.142737 + 0.247228i
\(287\) 8.84012i 0.521816i
\(288\) −1.76711 2.42432i −0.104128 0.142854i
\(289\) −14.9576 + 25.9074i −0.879860 + 1.52396i
\(290\) 0.587947 1.01835i 0.0345254 0.0597998i
\(291\) −9.14598 + 2.97954i −0.536147 + 0.174664i
\(292\) 4.44599 + 2.56690i 0.260182 + 0.150216i
\(293\) −9.43540 + 5.44753i −0.551222 + 0.318248i −0.749615 0.661874i \(-0.769761\pi\)
0.198393 + 0.980123i \(0.436428\pi\)
\(294\) −9.29430 1.96805i −0.542054 0.114779i
\(295\) −0.738059 −0.0429714
\(296\) 4.36761 + 7.56493i 0.253862 + 0.439703i
\(297\) 1.81833 + 4.05865i 0.105510 + 0.235507i
\(298\) −4.45172 7.71061i −0.257882 0.446664i
\(299\) −38.8735 22.4436i −2.24811 1.29795i
\(300\) −1.28806 1.15797i −0.0743663 0.0668555i
\(301\) −5.38902 3.11135i −0.310618 0.179335i
\(302\) 9.97617 0.574064
\(303\) 2.31437 + 7.10418i 0.132957 + 0.408124i
\(304\) −0.242571 0.420145i −0.0139124 0.0240970i
\(305\) −3.24325 + 5.61748i −0.185708 + 0.321656i
\(306\) 8.32872 18.7848i 0.476121 1.07386i
\(307\) 15.7622 + 27.3009i 0.899595 + 1.55814i 0.828012 + 0.560710i \(0.189472\pi\)
0.0715832 + 0.997435i \(0.477195\pi\)
\(308\) 1.05346 0.0600267
\(309\) −1.96619 + 9.28555i −0.111853 + 0.528237i
\(310\) −5.48575 0.952111i −0.311570 0.0540763i
\(311\) 0.515416i 0.0292266i −0.999893 0.0146133i \(-0.995348\pi\)
0.999893 0.0146133i \(-0.00465172\pi\)
\(312\) −2.02388 + 9.55797i −0.114580 + 0.541114i
\(313\) 16.2622 9.38897i 0.919192 0.530696i 0.0358147 0.999358i \(-0.488597\pi\)
0.883377 + 0.468663i \(0.155264\pi\)
\(314\) 3.11711i 0.175908i
\(315\) 2.17502 + 2.98394i 0.122549 + 0.168126i
\(316\) −2.99903 + 1.73149i −0.168709 + 0.0974040i
\(317\) 10.1149 5.83986i 0.568111 0.327999i −0.188283 0.982115i \(-0.560292\pi\)
0.756395 + 0.654116i \(0.226959\pi\)
\(318\) 1.17336 + 0.248457i 0.0657990 + 0.0139328i
\(319\) −0.503220 + 0.871603i −0.0281749 + 0.0488004i
\(320\) −0.866025 0.500000i −0.0484123 0.0279508i
\(321\) 10.7229 11.9276i 0.598494 0.665731i
\(322\) −8.48251 + 4.89738i −0.472712 + 0.272920i
\(323\) 1.66148 2.87777i 0.0924473 0.160123i
\(324\) −2.75464 + 8.56808i −0.153035 + 0.476004i
\(325\) 5.64065i 0.312887i
\(326\) 1.12144i 0.0621110i
\(327\) −33.4497 + 10.8971i −1.84977 + 0.602611i
\(328\) 3.59111 6.21998i 0.198286 0.343441i
\(329\) 3.07917 1.77776i 0.169760 0.0980110i
\(330\) 1.10244 + 0.991101i 0.0606876 + 0.0545583i
\(331\) 15.1011 + 8.71862i 0.830031 + 0.479219i 0.853863 0.520497i \(-0.174253\pi\)
−0.0238321 + 0.999716i \(0.507587\pi\)
\(332\) −1.20254 + 2.08287i −0.0659981 + 0.114312i
\(333\) 10.6217 23.9566i 0.582068 1.31281i
\(334\) 8.54044 4.93083i 0.467312 0.269803i
\(335\) 7.05491 4.07315i 0.385451 0.222540i
\(336\) 1.58539 + 1.42527i 0.0864902 + 0.0777550i
\(337\) 20.5120i 1.11736i −0.829384 0.558680i \(-0.811308\pi\)
0.829384 0.558680i \(-0.188692\pi\)
\(338\) 16.2960 9.40849i 0.886384 0.511754i
\(339\) −32.3395 6.84782i −1.75644 0.371922i
\(340\) 6.84947i 0.371465i
\(341\) 4.69522 + 0.814906i 0.254261 + 0.0441297i
\(342\) −0.589916 + 1.33051i −0.0318990 + 0.0719459i
\(343\) 15.3670 0.829742
\(344\) −2.52784 4.37834i −0.136292 0.236064i
\(345\) −13.4844 2.85528i −0.725973 0.153723i
\(346\) 5.04608 8.74006i 0.271279 0.469869i
\(347\) −7.27245 12.5962i −0.390405 0.676202i 0.602098 0.798422i \(-0.294332\pi\)
−0.992503 + 0.122221i \(0.960998\pi\)
\(348\) −1.93654 + 0.630876i −0.103809 + 0.0338185i
\(349\) 12.3867 0.663045 0.331523 0.943447i \(-0.392438\pi\)
0.331523 + 0.943447i \(0.392438\pi\)
\(350\) 1.06593 + 0.615418i 0.0569766 + 0.0328955i
\(351\) 26.7480 11.9835i 1.42770 0.639630i
\(352\) 0.741226 + 0.427947i 0.0395075 + 0.0228097i
\(353\) 5.48052 + 9.49254i 0.291699 + 0.505237i 0.974212 0.225637i \(-0.0724463\pi\)
−0.682513 + 0.730874i \(0.739113\pi\)
\(354\) 0.950665 + 0.854651i 0.0505273 + 0.0454242i
\(355\) −1.94423 3.36751i −0.103189 0.178729i
\(356\) −5.45985 −0.289371
\(357\) −3.02491 + 14.2854i −0.160095 + 0.756065i
\(358\) −21.2018 + 12.2409i −1.12055 + 0.646951i
\(359\) −8.55681 4.94028i −0.451611 0.260738i 0.256899 0.966438i \(-0.417299\pi\)
−0.708510 + 0.705700i \(0.750633\pi\)
\(360\) 0.318204 + 2.98308i 0.0167708 + 0.157222i
\(361\) 9.38232 16.2507i 0.493806 0.855298i
\(362\) 7.50878 13.0056i 0.394653 0.683558i
\(363\) 13.2251 + 11.8894i 0.694138 + 0.624032i
\(364\) 6.94272i 0.363897i
\(365\) −2.56690 4.44599i −0.134357 0.232714i
\(366\) 10.6824 3.48006i 0.558378 0.181906i
\(367\) −16.2158 9.36221i −0.846459 0.488703i 0.0129954 0.999916i \(-0.495863\pi\)
−0.859455 + 0.511212i \(0.829197\pi\)
\(368\) −7.95781 −0.414830
\(369\) −21.4251 + 2.28541i −1.11535 + 0.118974i
\(370\) 8.73523i 0.454123i
\(371\) −0.852307 −0.0442496
\(372\) 5.96347 + 7.57872i 0.309191 + 0.392938i
\(373\) −7.24267 −0.375011 −0.187506 0.982264i \(-0.560040\pi\)
−0.187506 + 0.982264i \(0.560040\pi\)
\(374\) 5.86242i 0.303139i
\(375\) 0.536508 + 1.64686i 0.0277052 + 0.0850437i
\(376\) 2.88870 0.148973
\(377\) 5.74418 + 3.31640i 0.295840 + 0.170803i
\(378\) 0.653751 6.36211i 0.0336253 0.327232i
\(379\) 12.2266 + 21.1771i 0.628038 + 1.08779i 0.987945 + 0.154805i \(0.0494750\pi\)
−0.359907 + 0.932988i \(0.617192\pi\)
\(380\) 0.485142i 0.0248872i
\(381\) −14.0630 + 15.6429i −0.720469 + 0.801409i
\(382\) −6.12422 + 10.6075i −0.313342 + 0.542725i
\(383\) 13.4536 23.3023i 0.687446 1.19069i −0.285216 0.958463i \(-0.592065\pi\)
0.972661 0.232228i \(-0.0746014\pi\)
\(384\) 0.536508 + 1.64686i 0.0273786 + 0.0840411i
\(385\) −0.912327 0.526732i −0.0464965 0.0268448i
\(386\) −21.6235 + 12.4843i −1.10061 + 0.635435i
\(387\) −6.14753 + 13.8653i −0.312496 + 0.704813i
\(388\) 5.55358 0.281940
\(389\) −1.33226 2.30754i −0.0675481 0.116997i 0.830273 0.557356i \(-0.188184\pi\)
−0.897821 + 0.440360i \(0.854851\pi\)
\(390\) 6.53172 7.26551i 0.330746 0.367903i
\(391\) −27.2534 47.2043i −1.37826 2.38722i
\(392\) 4.75019 + 2.74252i 0.239921 + 0.138518i
\(393\) −9.47353 + 10.5378i −0.477877 + 0.531563i
\(394\) −1.42557 0.823054i −0.0718192 0.0414649i
\(395\) 3.46298 0.174242
\(396\) −0.272349 2.55320i −0.0136860 0.128303i
\(397\) 9.43442 + 16.3409i 0.473500 + 0.820126i 0.999540 0.0303340i \(-0.00965710\pi\)
−0.526040 + 0.850460i \(0.676324\pi\)
\(398\) 5.79107 10.0304i 0.290280 0.502780i
\(399\) 0.214251 1.01182i 0.0107260 0.0506546i
\(400\) 0.500000 + 0.866025i 0.0250000 + 0.0433013i
\(401\) −6.85565 −0.342355 −0.171177 0.985240i \(-0.554757\pi\)
−0.171177 + 0.985240i \(0.554757\pi\)
\(402\) −13.8037 2.92291i −0.688468 0.145782i
\(403\) 5.37053 30.9432i 0.267525 1.54139i
\(404\) 4.31376i 0.214618i
\(405\) 6.66963 6.04285i 0.331416 0.300272i
\(406\) 1.25343 0.723666i 0.0622065 0.0359149i
\(407\) 7.47643i 0.370593i
\(408\) −7.93149 + 8.82254i −0.392667 + 0.436781i
\(409\) −10.1400 + 5.85435i −0.501393 + 0.289479i −0.729289 0.684206i \(-0.760149\pi\)
0.227896 + 0.973686i \(0.426815\pi\)
\(410\) −6.21998 + 3.59111i −0.307183 + 0.177352i
\(411\) 8.01514 37.8523i 0.395358 1.86712i
\(412\) 2.73994 4.74572i 0.134987 0.233805i
\(413\) −0.786722 0.454214i −0.0387121 0.0223504i
\(414\) 14.0623 + 19.2923i 0.691126 + 0.948164i
\(415\) 2.08287 1.20254i 0.102244 0.0590305i
\(416\) 2.82033 4.88495i 0.138278 0.239504i
\(417\) 7.17139 + 22.0133i 0.351184 + 1.07799i
\(418\) 0.415230i 0.0203096i
\(419\) 37.9695i 1.85493i −0.373907 0.927466i \(-0.621982\pi\)
0.373907 0.927466i \(-0.378018\pi\)
\(420\) −0.660353 2.02702i −0.0322219 0.0989083i
\(421\) 16.6660 28.8664i 0.812253 1.40686i −0.0990314 0.995084i \(-0.531574\pi\)
0.911284 0.411778i \(-0.135092\pi\)
\(422\) −11.0470 + 6.37798i −0.537758 + 0.310475i
\(423\) −5.10466 7.00313i −0.248197 0.340504i
\(424\) −0.599690 0.346231i −0.0291235 0.0168145i
\(425\) −3.42474 + 5.93182i −0.166124 + 0.287735i
\(426\) −1.39519 + 6.58893i −0.0675972 + 0.319235i
\(427\) −6.91419 + 3.99191i −0.334601 + 0.193182i
\(428\) −8.01947 + 4.63004i −0.387635 + 0.223801i
\(429\) −5.59046 + 6.21851i −0.269910 + 0.300232i
\(430\) 5.05568i 0.243806i
\(431\) −21.8729 + 12.6283i −1.05358 + 0.608286i −0.923650 0.383237i \(-0.874809\pi\)
−0.129932 + 0.991523i \(0.541476\pi\)
\(432\) 3.04445 4.21086i 0.146476 0.202595i
\(433\) 27.2143i 1.30783i 0.756566 + 0.653917i \(0.226876\pi\)
−0.756566 + 0.653917i \(0.773124\pi\)
\(434\) −5.26151 4.39092i −0.252560 0.210771i
\(435\) 1.99253 + 0.421913i 0.0955344 + 0.0202292i
\(436\) 20.3111 0.972727
\(437\) 1.93033 + 3.34344i 0.0923404 + 0.159938i
\(438\) −1.84202 + 8.69911i −0.0880149 + 0.415659i
\(439\) 2.74021 4.74619i 0.130783 0.226523i −0.793195 0.608967i \(-0.791584\pi\)
0.923979 + 0.382444i \(0.124917\pi\)
\(440\) −0.427947 0.741226i −0.0204016 0.0353366i
\(441\) −1.74536 16.3623i −0.0831125 0.779157i
\(442\) 38.6355 1.83770
\(443\) −19.8597 11.4660i −0.943563 0.544767i −0.0524878 0.998622i \(-0.516715\pi\)
−0.891076 + 0.453855i \(0.850048\pi\)
\(444\) −10.1151 + 11.2515i −0.480044 + 0.533973i
\(445\) 4.72837 + 2.72992i 0.224146 + 0.129411i
\(446\) 6.61933 + 11.4650i 0.313435 + 0.542884i
\(447\) 10.3099 11.4682i 0.487643 0.542427i
\(448\) −0.615418 1.06593i −0.0290758 0.0503607i
\(449\) 10.9265 0.515655 0.257828 0.966191i \(-0.416993\pi\)
0.257828 + 0.966191i \(0.416993\pi\)
\(450\) 1.21597 2.74252i 0.0573212 0.129284i
\(451\) 5.32364 3.07361i 0.250681 0.144731i
\(452\) 16.5283 + 9.54261i 0.777425 + 0.448847i
\(453\) 5.35229 + 16.4294i 0.251473 + 0.771920i
\(454\) 12.7352 22.0581i 0.597694 1.03524i
\(455\) −3.47136 + 6.01257i −0.162740 + 0.281874i
\(456\) 0.561780 0.624892i 0.0263078 0.0292633i
\(457\) 37.4970i 1.75404i −0.480456 0.877019i \(-0.659529\pi\)
0.480456 0.877019i \(-0.340471\pi\)
\(458\) 8.65348 + 14.9883i 0.404351 + 0.700356i
\(459\) 35.4045 + 3.63806i 1.65254 + 0.169810i
\(460\) 6.89167 + 3.97891i 0.321326 + 0.185518i
\(461\) 13.1893 0.614288 0.307144 0.951663i \(-0.400627\pi\)
0.307144 + 0.951663i \(0.400627\pi\)
\(462\) 0.565192 + 1.73491i 0.0262951 + 0.0807154i
\(463\) 19.5842i 0.910154i −0.890452 0.455077i \(-0.849612\pi\)
0.890452 0.455077i \(-0.150388\pi\)
\(464\) 1.17589 0.0545895
\(465\) −1.37515 9.54510i −0.0637712 0.442643i
\(466\) 22.8670 1.05929
\(467\) 15.0537i 0.696603i −0.937383 0.348301i \(-0.886759\pi\)
0.937383 0.348301i \(-0.113241\pi\)
\(468\) −16.8265 + 1.79488i −0.777805 + 0.0829683i
\(469\) 10.0268 0.462993
\(470\) −2.50169 1.44435i −0.115394 0.0666229i
\(471\) −5.13345 + 1.67235i −0.236537 + 0.0770579i
\(472\) −0.369029 0.639178i −0.0169860 0.0294205i
\(473\) 4.32712i 0.198961i
\(474\) −4.46053 4.01003i −0.204879 0.184187i
\(475\) 0.242571 0.420145i 0.0111299 0.0192776i
\(476\) 4.21529 7.30109i 0.193207 0.334645i
\(477\) 0.220344 + 2.06567i 0.0100889 + 0.0945805i
\(478\) 9.11743 + 5.26395i 0.417022 + 0.240768i
\(479\) 31.1132 17.9632i 1.42160 0.820760i 0.425162 0.905117i \(-0.360217\pi\)
0.996436 + 0.0843575i \(0.0268838\pi\)
\(480\) 0.358802 1.69448i 0.0163770 0.0773421i
\(481\) 49.2724 2.24663
\(482\) 12.8072 + 22.1828i 0.583354 + 1.01040i
\(483\) −12.6163 11.3421i −0.574059 0.516081i
\(484\) −5.13372 8.89187i −0.233351 0.404176i
\(485\) −4.80954 2.77679i −0.218390 0.126087i
\(486\) −15.5883 + 0.0603312i −0.707101 + 0.00273668i
\(487\) 22.0726 + 12.7436i 1.00021 + 0.577470i 0.908309 0.418299i \(-0.137374\pi\)
0.0918972 + 0.995769i \(0.470707\pi\)
\(488\) −6.48651 −0.293630
\(489\) −1.84687 + 0.601664i −0.0835181 + 0.0272082i
\(490\) −2.74252 4.75019i −0.123895 0.214592i
\(491\) −7.24410 + 12.5471i −0.326922 + 0.566245i −0.981899 0.189403i \(-0.939345\pi\)
0.654978 + 0.755648i \(0.272678\pi\)
\(492\) 12.1701 + 2.57699i 0.548671 + 0.116180i
\(493\) 4.02712 + 6.97518i 0.181373 + 0.314146i
\(494\) −2.73652 −0.123122
\(495\) −1.04074 + 2.34731i −0.0467777 + 0.105504i
\(496\) −1.91832 5.22686i −0.0861353 0.234693i
\(497\) 4.78606i 0.214684i
\(498\) −4.07537 0.862950i −0.182622 0.0386697i
\(499\) 16.0182 9.24809i 0.717071 0.414001i −0.0966024 0.995323i \(-0.530798\pi\)
0.813674 + 0.581322i \(0.197464\pi\)
\(500\) 1.00000i 0.0447214i
\(501\) 12.7024 + 11.4195i 0.567502 + 0.510186i
\(502\) −23.7242 + 13.6972i −1.05886 + 0.611336i
\(503\) 12.2809 7.09036i 0.547576 0.316143i −0.200568 0.979680i \(-0.564279\pi\)
0.748144 + 0.663537i \(0.230945\pi\)
\(504\) −1.49665 + 3.37559i −0.0666663 + 0.150361i
\(505\) −2.15688 + 3.73583i −0.0959800 + 0.166242i
\(506\) −5.89854 3.40552i −0.262222 0.151394i
\(507\) 24.2374 + 21.7895i 1.07642 + 0.967706i
\(508\) 10.5175 6.07226i 0.466637 0.269413i
\(509\) −9.88856 + 17.1275i −0.438303 + 0.759162i −0.997559 0.0698326i \(-0.977753\pi\)
0.559256 + 0.828995i \(0.311087\pi\)
\(510\) 11.2801 3.67480i 0.499493 0.162723i
\(511\) 6.31885i 0.279530i
\(512\) 1.00000i 0.0441942i
\(513\) −2.50767 0.257680i −0.110716 0.0113769i
\(514\) 6.72386 11.6461i 0.296577 0.513686i
\(515\) −4.74572 + 2.73994i −0.209121 + 0.120736i
\(516\) 5.85433 6.51202i 0.257722 0.286676i
\(517\) 2.14118 + 1.23621i 0.0941690 + 0.0543685i
\(518\) 5.37581 9.31118i 0.236200 0.409110i
\(519\) 17.1010 + 3.62109i 0.750649 + 0.158948i
\(520\) −4.88495 + 2.82033i −0.214219 + 0.123680i
\(521\) −20.5169 + 11.8454i −0.898860 + 0.518957i −0.876830 0.480800i \(-0.840346\pi\)
−0.0220296 + 0.999757i \(0.507013\pi\)
\(522\) −2.07793 2.85074i −0.0909487 0.124774i
\(523\) 35.6405i 1.55845i −0.626744 0.779225i \(-0.715613\pi\)
0.626744 0.779225i \(-0.284387\pi\)
\(524\) 7.08508 4.09057i 0.309513 0.178697i
\(525\) −0.441626 + 2.08563i −0.0192742 + 0.0910242i
\(526\) 9.48908i 0.413744i
\(527\) 24.4350 29.2797i 1.06441 1.27545i
\(528\) −0.307097 + 1.45030i −0.0133647 + 0.0631160i
\(529\) 40.3268 1.75334
\(530\) 0.346231 + 0.599690i 0.0150393 + 0.0260489i
\(531\) −0.897454 + 2.02414i −0.0389462 + 0.0878403i
\(532\) −0.298565 + 0.517129i −0.0129444 + 0.0224204i
\(533\) −20.2562 35.0848i −0.877393 1.51969i
\(534\) −2.92925 8.99162i −0.126761 0.389105i
\(535\) 9.26008 0.400348
\(536\) 7.05491 + 4.07315i 0.304726 + 0.175933i
\(537\) −31.5340 28.3492i −1.36079 1.22336i
\(538\) 23.5699 + 13.6081i 1.01617 + 0.586687i
\(539\) 2.34731 + 4.06566i 0.101106 + 0.175120i
\(540\) −4.74200 + 2.12448i −0.204063 + 0.0914232i
\(541\) 15.6226 + 27.0591i 0.671668 + 1.16336i 0.977431 + 0.211255i \(0.0677552\pi\)
−0.305763 + 0.952108i \(0.598911\pi\)
\(542\) −4.22402 −0.181437
\(543\) 25.4469 + 5.38833i 1.09203 + 0.231235i
\(544\) 5.93182 3.42474i 0.254324 0.146834i
\(545\) −17.5900 10.1556i −0.753471 0.435017i
\(546\) 11.4337 3.72482i 0.489317 0.159408i
\(547\) −13.5169 + 23.4119i −0.577940 + 1.00102i 0.417775 + 0.908550i \(0.362810\pi\)
−0.995715 + 0.0924712i \(0.970523\pi\)
\(548\) −11.1693 + 19.3458i −0.477129 + 0.826412i
\(549\) 11.4624 + 15.7254i 0.489202 + 0.671142i
\(550\) 0.855894i 0.0364955i
\(551\) −0.285238 0.494046i −0.0121515 0.0210471i
\(552\) −4.26943 13.1054i −0.181719 0.557804i
\(553\) 3.69131 + 2.13118i 0.156971 + 0.0906270i
\(554\) −16.7112 −0.709991
\(555\) 14.3857 4.68652i 0.610640 0.198932i
\(556\) 13.3668i 0.566878i
\(557\) −2.95495 −0.125205 −0.0626025 0.998039i \(-0.519940\pi\)
−0.0626025 + 0.998039i \(0.519940\pi\)
\(558\) −9.28167 + 13.8871i −0.392925 + 0.587886i
\(559\) −28.5173 −1.20615
\(560\) 1.23084i 0.0520123i
\(561\) −9.65461 + 3.14524i −0.407618 + 0.132792i
\(562\) 0.335407 0.0141483
\(563\) −38.1155 22.0060i −1.60638 0.927441i −0.990172 0.139855i \(-0.955336\pi\)
−0.616204 0.787587i \(-0.711330\pi\)
\(564\) 1.54981 + 4.75730i 0.0652588 + 0.200318i
\(565\) −9.54261 16.5283i −0.401461 0.695350i
\(566\) 3.13491i 0.131770i
\(567\) 10.8283 2.33668i 0.454744 0.0981315i
\(568\) 1.94423 3.36751i 0.0815783 0.141298i
\(569\) 18.4180 31.9010i 0.772124 1.33736i −0.164272 0.986415i \(-0.552528\pi\)
0.936397 0.350943i \(-0.114139\pi\)
\(570\) −0.798962 + 0.260282i −0.0334648 + 0.0109020i
\(571\) −33.3623 19.2617i −1.39617 0.806078i −0.402180 0.915561i \(-0.631747\pi\)
−0.993989 + 0.109482i \(0.965081\pi\)
\(572\) 4.18100 2.41390i 0.174816 0.100930i
\(573\) −20.7547 4.39476i −0.867041 0.183594i
\(574\) −8.84012 −0.368980
\(575\) −3.97891 6.89167i −0.165932 0.287403i
\(576\) −2.42432 + 1.76711i −0.101013 + 0.0736296i
\(577\) −13.6099 23.5731i −0.566588 0.981360i −0.996900 0.0786795i \(-0.974930\pi\)
0.430312 0.902680i \(-0.358404\pi\)
\(578\) 25.9074 + 14.9576i 1.07760 + 0.622155i
\(579\) −32.1611 28.9130i −1.33657 1.20158i
\(580\) −1.01835 0.587947i −0.0422848 0.0244132i
\(581\) 2.96027 0.122813
\(582\) 2.97954 + 9.14598i 0.123506 + 0.379113i
\(583\) −0.296337 0.513271i −0.0122730 0.0212575i
\(584\) 2.56690 4.44599i 0.106219 0.183977i
\(585\) 15.4696 + 6.85884i 0.639590 + 0.283578i
\(586\) 5.44753 + 9.43540i 0.225035 + 0.389773i
\(587\) −21.6442 −0.893354 −0.446677 0.894695i \(-0.647393\pi\)
−0.446677 + 0.894695i \(0.647393\pi\)
\(588\) −1.96805 + 9.29430i −0.0811608 + 0.383290i
\(589\) −1.73071 + 2.07386i −0.0713126 + 0.0854518i
\(590\) 0.738059i 0.0303854i
\(591\) 0.590627 2.78930i 0.0242951 0.114736i
\(592\) 7.56493 4.36761i 0.310917 0.179508i
\(593\) 18.3513i 0.753598i −0.926295 0.376799i \(-0.877025\pi\)
0.926295 0.376799i \(-0.122975\pi\)
\(594\) 4.05865 1.81833i 0.166528 0.0746071i
\(595\) −7.30109 + 4.21529i −0.299315 + 0.172810i
\(596\) −7.71061 + 4.45172i −0.315839 + 0.182350i
\(597\) 19.6257 + 4.15570i 0.803226 + 0.170081i
\(598\) −22.4436 + 38.8735i −0.917789 + 1.58966i
\(599\) −1.04365 0.602553i −0.0426425 0.0246197i 0.478527 0.878073i \(-0.341171\pi\)
−0.521170 + 0.853453i \(0.674504\pi\)
\(600\) −1.15797 + 1.28806i −0.0472740 + 0.0525849i
\(601\) −17.9323 + 10.3532i −0.731473 + 0.422316i −0.818961 0.573850i \(-0.805449\pi\)
0.0874879 + 0.996166i \(0.472116\pi\)
\(602\) −3.11135 + 5.38902i −0.126809 + 0.219640i
\(603\) −2.59219 24.3010i −0.105562 0.989615i
\(604\) 9.97617i 0.405925i
\(605\) 10.2674i 0.417431i
\(606\) 7.10418 2.31437i 0.288587 0.0940148i
\(607\) −11.8171 + 20.4677i −0.479639 + 0.830760i −0.999727 0.0233530i \(-0.992566\pi\)
0.520088 + 0.854113i \(0.325899\pi\)
\(608\) −0.420145 + 0.242571i −0.0170391 + 0.00983755i
\(609\) 1.86425 + 1.67597i 0.0755433 + 0.0679137i
\(610\) 5.61748 + 3.24325i 0.227445 + 0.131316i
\(611\) 8.14708 14.1112i 0.329596 0.570876i
\(612\) −18.7848 8.32872i −0.759331 0.336669i
\(613\) 10.2915 5.94178i 0.415668 0.239986i −0.277554 0.960710i \(-0.589524\pi\)
0.693222 + 0.720724i \(0.256190\pi\)
\(614\) 27.3009 15.7622i 1.10177 0.636110i
\(615\) −9.25113 8.31680i −0.373042 0.335366i
\(616\) 1.05346i 0.0424453i
\(617\) −13.2775 + 7.66578i −0.534533 + 0.308613i −0.742860 0.669447i \(-0.766531\pi\)
0.208328 + 0.978059i \(0.433198\pi\)
\(618\) 9.28555 + 1.96619i 0.373520 + 0.0790919i
\(619\) 27.7807i 1.11660i 0.829639 + 0.558300i \(0.188546\pi\)
−0.829639 + 0.558300i \(0.811454\pi\)
\(620\) −0.952111 + 5.48575i −0.0382377 + 0.220313i
\(621\) −24.2272 + 33.5092i −0.972203 + 1.34468i
\(622\) −0.515416 −0.0206663
\(623\) 3.36009 + 5.81984i 0.134619 + 0.233167i
\(624\) 9.55797 + 2.02388i 0.382625 + 0.0810200i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −9.38897 16.2622i −0.375259 0.649967i
\(627\) 0.683827 0.222774i 0.0273094 0.00889675i
\(628\) 3.11711 0.124386
\(629\) 51.8158 + 29.9158i 2.06603 + 1.19282i
\(630\) 2.98394 2.17502i 0.118883 0.0866550i
\(631\) 17.3045 + 9.99073i 0.688880 + 0.397725i 0.803192 0.595720i \(-0.203133\pi\)
−0.114313 + 0.993445i \(0.536467\pi\)
\(632\) 1.73149 + 2.99903i 0.0688750 + 0.119295i
\(633\) −16.4304 14.7710i −0.653052 0.587096i
\(634\) −5.83986 10.1149i −0.231930 0.401715i
\(635\) −12.1445 −0.481940
\(636\) 0.248457 1.17336i 0.00985196 0.0465269i
\(637\) 26.7942 15.4696i 1.06162 0.612929i
\(638\) 0.871603 + 0.503220i 0.0345071 + 0.0199227i
\(639\) −11.5996 + 1.23733i −0.458873 + 0.0489479i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) −5.80324 + 10.0515i −0.229214 + 0.397011i −0.957575 0.288183i \(-0.906949\pi\)
0.728361 + 0.685193i \(0.240282\pi\)
\(642\) −11.9276 10.7229i −0.470743 0.423200i
\(643\) 20.3099i 0.800946i −0.916309 0.400473i \(-0.868846\pi\)
0.916309 0.400473i \(-0.131154\pi\)
\(644\) 4.89738 + 8.48251i 0.192984 + 0.334258i
\(645\) −8.32601 + 2.71241i −0.327836 + 0.106801i
\(646\) −2.87777 1.66148i −0.113224 0.0653701i
\(647\) 6.80419 0.267500 0.133750 0.991015i \(-0.457298\pi\)
0.133750 + 0.991015i \(0.457298\pi\)
\(648\) 8.56808 + 2.75464i 0.336586 + 0.108212i
\(649\) 0.631700i 0.0247964i
\(650\) 5.64065 0.221245
\(651\) 4.40840 11.0207i 0.172779 0.431937i
\(652\) 1.12144 0.0439191
\(653\) 12.8192i 0.501655i 0.968032 + 0.250828i \(0.0807027\pi\)
−0.968032 + 0.250828i \(0.919297\pi\)
\(654\) 10.8971 + 33.4497i 0.426110 + 1.30799i
\(655\) −8.18115 −0.319664
\(656\) −6.21998 3.59111i −0.242849 0.140209i
\(657\) −15.3145 + 1.63359i −0.597475 + 0.0637325i
\(658\) −1.77776 3.07917i −0.0693042 0.120038i
\(659\) 14.6238i 0.569664i 0.958577 + 0.284832i \(0.0919378\pi\)
−0.958577 + 0.284832i \(0.908062\pi\)
\(660\) 0.991101 1.10244i 0.0385786 0.0429126i
\(661\) −18.4963 + 32.0366i −0.719424 + 1.24608i 0.241804 + 0.970325i \(0.422261\pi\)
−0.961228 + 0.275754i \(0.911073\pi\)
\(662\) 8.71862 15.1011i 0.338859 0.586921i
\(663\) 20.7283 + 63.6274i 0.805019 + 2.47108i
\(664\) 2.08287 + 1.20254i 0.0808309 + 0.0466677i
\(665\) 0.517129 0.298565i 0.0200534 0.0115778i
\(666\) −23.9566 10.6217i −0.928298 0.411584i
\(667\) −9.35754 −0.362326
\(668\) −4.93083 8.54044i −0.190779 0.330440i
\(669\) −15.3300 + 17.0522i −0.592692 + 0.659277i
\(670\) −4.07315 7.05491i −0.157360 0.272555i
\(671\) −4.80797 2.77588i −0.185610 0.107162i
\(672\) 1.42527 1.58539i 0.0549811 0.0611578i
\(673\) −10.5681 6.10149i −0.407370 0.235195i 0.282289 0.959329i \(-0.408906\pi\)
−0.689659 + 0.724134i \(0.742240\pi\)
\(674\) −20.5120 −0.790092
\(675\) 5.16893 + 0.531144i 0.198952 + 0.0204437i
\(676\) −9.40849 16.2960i −0.361865 0.626768i
\(677\) −8.94985 + 15.5016i −0.343971 + 0.595774i −0.985166 0.171603i \(-0.945105\pi\)
0.641196 + 0.767377i \(0.278439\pi\)
\(678\) −6.84782 + 32.3395i −0.262989 + 1.24199i
\(679\) −3.41777 5.91975i −0.131162 0.227179i
\(680\) −6.84947 −0.262665
\(681\) 43.1592 + 9.13885i 1.65386 + 0.350202i
\(682\) 0.814906 4.69522i 0.0312044 0.179789i
\(683\) 0.0428554i 0.00163982i 1.00000 0.000819909i \(0.000260985\pi\)
−1.00000 0.000819909i \(0.999739\pi\)
\(684\) 1.33051 + 0.589916i 0.0508734 + 0.0225560i
\(685\) 19.3458 11.1693i 0.739165 0.426757i
\(686\) 15.3670i 0.586716i
\(687\) −20.0410 + 22.2924i −0.764611 + 0.850509i
\(688\) −4.37834 + 2.52784i −0.166923 + 0.0963729i
\(689\) −3.38264 + 1.95297i −0.128868 + 0.0744023i
\(690\) −2.85528 + 13.4844i −0.108699 + 0.513341i
\(691\) −3.25896 + 5.64469i −0.123977 + 0.214734i −0.921333 0.388775i \(-0.872898\pi\)
0.797356 + 0.603510i \(0.206232\pi\)
\(692\) −8.74006 5.04608i −0.332247 0.191823i
\(693\) −2.55393 + 1.86159i −0.0970159 + 0.0707159i
\(694\) −12.5962 + 7.27245i −0.478147 + 0.276058i
\(695\) −6.68339 + 11.5760i −0.253516 + 0.439102i
\(696\) 0.630876 + 1.93654i 0.0239133 + 0.0734042i
\(697\) 49.1944i 1.86337i
\(698\) 12.3867i 0.468844i
\(699\) 12.2683 + 37.6588i 0.464030 + 1.42438i
\(700\) 0.615418 1.06593i 0.0232606 0.0402885i
\(701\) −7.28410 + 4.20548i −0.275117 + 0.158839i −0.631211 0.775611i \(-0.717442\pi\)
0.356094 + 0.934450i \(0.384108\pi\)
\(702\) −11.9835 26.7480i −0.452287 1.00954i
\(703\) −3.67006 2.11891i −0.138419 0.0799163i
\(704\) 0.427947 0.741226i 0.0161289 0.0279360i
\(705\) 1.03647 4.89485i 0.0390358 0.184351i
\(706\) 9.49254 5.48052i 0.357256 0.206262i
\(707\) −4.59819 + 2.65477i −0.172933 + 0.0998427i
\(708\) 0.854651 0.950665i 0.0321197 0.0357282i
\(709\) 33.2406i 1.24838i 0.781274 + 0.624188i \(0.214570\pi\)
−0.781274 + 0.624188i \(0.785430\pi\)
\(710\) −3.36751 + 1.94423i −0.126380 + 0.0729658i
\(711\) 4.21087 9.49730i 0.157920 0.356177i
\(712\) 5.45985i 0.204616i
\(713\) 15.2657 + 41.5944i 0.571704 + 1.55772i
\(714\) 14.2854 + 3.02491i 0.534619 + 0.113204i
\(715\) −4.82780 −0.180550
\(716\) 12.2409 + 21.2018i 0.457463 + 0.792349i
\(717\) −3.77743 + 17.8393i −0.141071 + 0.666222i
\(718\) −4.94028 + 8.55681i −0.184370 + 0.319337i
\(719\) 19.2029 + 33.2604i 0.716148 + 1.24040i 0.962515 + 0.271228i \(0.0874296\pi\)
−0.246368 + 0.969176i \(0.579237\pi\)
\(720\) 2.98308 0.318204i 0.111173 0.0118588i
\(721\) −6.74484 −0.251191
\(722\) −16.2507 9.38232i −0.604787 0.349174i
\(723\) −29.6608 + 32.9930i −1.10310 + 1.22702i
\(724\) −13.0056 7.50878i −0.483349 0.279062i
\(725\) 0.587947 + 1.01835i 0.0218358 + 0.0378207i
\(726\) 11.8894 13.2251i 0.441257 0.490829i
\(727\) 21.7450 + 37.6635i 0.806478 + 1.39686i 0.915289 + 0.402798i \(0.131962\pi\)
−0.108811 + 0.994062i \(0.534704\pi\)
\(728\) −6.94272 −0.257314
\(729\) −8.46263 25.6395i −0.313431 0.949611i
\(730\) −4.44599 + 2.56690i −0.164554 + 0.0950051i
\(731\) −29.9893 17.3143i −1.10920 0.640394i
\(732\) −3.48006 10.6824i −0.128627 0.394833i
\(733\) 17.5447 30.3883i 0.648029 1.12242i −0.335565 0.942017i \(-0.608927\pi\)
0.983593 0.180401i \(-0.0577396\pi\)
\(734\) −9.36221 + 16.2158i −0.345566 + 0.598537i
\(735\) 6.35153 7.06507i 0.234280 0.260599i
\(736\) 7.95781i 0.293329i
\(737\) 3.48619 + 6.03825i 0.128415 + 0.222422i
\(738\) 2.28541 + 21.4251i 0.0841270 + 0.788669i
\(739\) 17.4495 + 10.0745i 0.641889 + 0.370595i 0.785342 0.619062i \(-0.212487\pi\)
−0.143453 + 0.989657i \(0.545821\pi\)
\(740\) −8.73523 −0.321113
\(741\) −1.46816 4.50667i −0.0539343 0.165557i
\(742\) 0.852307i 0.0312892i
\(743\) −5.85981 −0.214976 −0.107488 0.994206i \(-0.534281\pi\)
−0.107488 + 0.994206i \(0.534281\pi\)
\(744\) 7.57872 5.96347i 0.277849 0.218631i
\(745\) 8.90345 0.326197
\(746\) 7.24267i 0.265173i
\(747\) −0.765308 7.17456i −0.0280012 0.262503i
\(748\) 5.86242 0.214351
\(749\) 9.87064 + 5.69882i 0.360665 + 0.208230i
\(750\) 1.64686 0.536508i 0.0601349 0.0195905i
\(751\) 3.08572 + 5.34462i 0.112599 + 0.195028i 0.916818 0.399306i \(-0.130749\pi\)
−0.804218 + 0.594334i \(0.797416\pi\)
\(752\) 2.88870i 0.105340i
\(753\) −35.2857 31.7219i −1.28588 1.15601i
\(754\) 3.31640 5.74418i 0.120776 0.209191i
\(755\) −4.98808 + 8.63961i −0.181535 + 0.314428i
\(756\) −6.36211 0.653751i −0.231388 0.0237767i
\(757\) −23.5697 13.6080i −0.856655 0.494590i 0.00623560 0.999981i \(-0.498015\pi\)
−0.862891 + 0.505390i \(0.831348\pi\)
\(758\) 21.1771 12.2266i 0.769186 0.444090i
\(759\) 2.44382 11.5412i 0.0887050 0.418918i
\(760\) 0.485142 0.0175979
\(761\) 12.7572 + 22.0961i 0.462447 + 0.800982i 0.999082 0.0428324i \(-0.0136382\pi\)
−0.536635 + 0.843814i \(0.680305\pi\)
\(762\) 15.6429 + 14.0630i 0.566682 + 0.509449i
\(763\) −12.4998 21.6504i −0.452525 0.783795i
\(764\) 10.6075 + 6.12422i 0.383764 + 0.221566i
\(765\) 12.1038 + 16.6053i 0.437613 + 0.600366i
\(766\) −23.3023 13.4536i −0.841946 0.486097i
\(767\) −4.16313 −0.150322
\(768\) 1.64686 0.536508i 0.0594261 0.0193596i
\(769\) −13.1091 22.7057i −0.472728 0.818788i 0.526785 0.849998i \(-0.323397\pi\)
−0.999513 + 0.0312102i \(0.990064\pi\)
\(770\) −0.526732 + 0.912327i −0.0189821 + 0.0328780i
\(771\) 22.7869 + 4.82507i 0.820650 + 0.173771i
\(772\) 12.4843 + 21.6235i 0.449321 + 0.778246i
\(773\) 31.4592 1.13151 0.565754 0.824574i \(-0.308585\pi\)
0.565754 + 0.824574i \(0.308585\pi\)
\(774\) 13.8653 + 6.14753i 0.498378 + 0.220968i
\(775\) 3.56743 4.27475i 0.128146 0.153553i
\(776\) 5.55358i