Properties

Label 930.2.o.e.491.20
Level $930$
Weight $2$
Character 930.491
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 491.20
Character \(\chi\) \(=\) 930.491
Dual form 930.2.o.e.161.10

$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

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

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 −0.725968 0.687728i \(-0.758608\pi\)
0.958574 + 0.284843i \(0.0919414\pi\)
\(8\) 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 0.794270 0.607564i \(-0.207853\pi\)
−0.923301 + 0.384076i \(0.874520\pi\)
\(12\) −1.64686 0.536508i −0.475409 0.154877i
\(13\) 4.88495 2.82033i 1.35484 0.782218i 0.365918 0.930647i \(-0.380755\pi\)
0.988923 + 0.148429i \(0.0474217\pi\)
\(14\) 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 −0.0669268 0.997758i \(-0.521319\pi\)
0.897547 0.440919i \(-0.145347\pi\)
\(18\) −1.76711 + 2.42432i −0.416512 + 0.571417i
\(19\) −0.242571 + 0.420145i −0.0556496 + 0.0963879i −0.892508 0.451031i \(-0.851056\pi\)
0.836859 + 0.547419i \(0.184390\pi\)
\(20\) −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 0.969839 0.243747i \(-0.0783768\pi\)
0.273828 + 0.961779i \(0.411710\pi\)
\(38\) −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 −0.899662 0.436587i \(-0.856187\pi\)
−0.0717356 + 0.997424i \(0.522854\pi\)
\(42\) 1.42527 + 1.58539i 0.219924 + 0.244631i
\(43\) −4.37834 2.52784i −0.667691 0.385492i 0.127510 0.991837i \(-0.459301\pi\)
−0.795201 + 0.606346i \(0.792635\pi\)
\(44\) 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 \(0.0675679\pi\)
−0.977555 + 0.210680i \(0.932432\pi\)
\(48\) 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 0.841266 0.540621i \(-0.181811\pi\)
−0.888825 + 0.458247i \(0.848477\pi\)
\(54\) −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 0.457816 0.889047i \(-0.348632\pi\)
−0.541030 + 0.841004i \(0.681965\pi\)
\(60\) −1.69448 + 0.358802i −0.218756 + 0.0463212i
\(61\) 6.48651i 0.830512i −0.909705 0.415256i \(-0.863692\pi\)
0.909705 0.415256i \(-0.136308\pi\)
\(62\) −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 0.999996 0.00275216i \(-0.000876040\pi\)
−0.502382 + 0.864646i \(0.667543\pi\)
\(68\) −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 −0.686333 0.727287i \(-0.740781\pi\)
0.286683 + 0.958026i \(0.407447\pi\)
\(72\) 1.76711 2.42432i 0.208256 0.285709i
\(73\) −4.44599 + 2.56690i −0.520364 + 0.300432i −0.737084 0.675801i \(-0.763798\pi\)
0.216719 + 0.976234i \(0.430464\pi\)
\(74\) −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 0.659129 0.752030i \(-0.270925\pi\)
−0.321712 + 0.946838i \(0.604258\pi\)
\(80\) 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 0.924446 0.381313i \(-0.124528\pi\)
−0.792450 + 0.609937i \(0.791195\pi\)
\(84\) −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 \(-0.931149\pi\)
0.976698 0.214618i \(-0.0688506\pi\)
\(102\) 7.93149 + 8.82254i 0.785335 + 0.873561i
\(103\) −2.73994 4.74572i −0.269975 0.467610i 0.698880 0.715239i \(-0.253682\pi\)
−0.968855 + 0.247629i \(0.920349\pi\)
\(104\) −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 0.834752 0.550627i \(-0.185611\pi\)
−0.0594807 + 0.998229i \(0.518944\pi\)
\(108\) −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 −0.557114 + 0.830436i \(0.688092\pi\)
−0.997736 + 0.0672575i \(0.978575\pi\)
\(114\) −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 −0.0454281 0.998968i \(-0.514465\pi\)
−0.887845 + 0.460142i \(0.847799\pi\)
\(128\) 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 0.157464 0.987525i \(-0.449668\pi\)
−0.776490 + 0.630130i \(0.783002\pi\)
\(132\) 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 0.736057 + 0.676919i \(0.236685\pi\)
0.218201 + 0.975904i \(0.429981\pi\)
\(138\) 4.26943 13.1054i 0.363438 1.11561i
\(139\) 13.3668i 1.13376i −0.823802 0.566878i \(-0.808151\pi\)
0.823802 0.566878i \(-0.191849\pi\)
\(140\) 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 0.781402 0.624028i \(-0.214505\pi\)
−0.149724 + 0.988728i \(0.547838\pi\)
\(150\) 1.15797 + 1.28806i 0.0945480 + 0.105170i
\(151\) 9.97617i 0.811849i −0.913907 0.405925i \(-0.866950\pi\)
0.913907 0.405925i \(-0.133050\pi\)
\(152\) 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 −0.609727 0.792612i \(-0.708721\pi\)
0.991285 + 0.131733i \(0.0420541\pi\)
\(168\) −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 −0.129493 0.991580i \(-0.541335\pi\)
0.793987 + 0.607934i \(0.208002\pi\)
\(174\) −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 −0.107917 + 0.994160i \(0.534418\pi\)
−0.807009 + 0.590539i \(0.798915\pi\)
\(180\) −2.98308 0.318204i −0.222345 0.0237175i
\(181\) 13.0056 7.50878i 0.966697 0.558123i 0.0684696 0.997653i \(-0.478188\pi\)
0.898228 + 0.439530i \(0.144855\pi\)
\(182\) 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 −0.831992 0.554787i \(-0.812800\pi\)
0.0644637 + 0.997920i \(0.479466\pi\)
\(192\) −1.64686 0.536508i −0.118852 0.0387191i
\(193\) −12.4843 + 21.6235i −0.898641 + 1.55649i −0.0694087 + 0.997588i \(0.522111\pi\)
−0.829232 + 0.558904i \(0.811222\pi\)
\(194\) 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 0.893855 0.448356i \(-0.147990\pi\)
−0.835215 + 0.549923i \(0.814657\pi\)
\(198\) 2.55320 + 0.272349i 0.181448 + 0.0193550i
\(199\) 10.0304 5.79107i 0.711038 0.410518i −0.100407 0.994946i \(-0.532015\pi\)
0.811445 + 0.584428i \(0.198681\pi\)
\(200\) −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 −0.997619 0.0689719i \(-0.978028\pi\)
0.558541 + 0.829477i \(0.311361\pi\)
\(212\) 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 0.0643184 0.997929i \(-0.479513\pi\)
−0.832073 + 0.554666i \(0.812846\pi\)
\(224\) 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 0.464850 0.885389i \(-0.346108\pi\)
0.999195 + 0.0401223i \(0.0127748\pi\)
\(228\) 0.624892 0.561780i 0.0413845 0.0372048i
\(229\) −14.9883 8.65348i −0.990453 0.571838i −0.0850433 0.996377i \(-0.527103\pi\)
−0.905410 + 0.424539i \(0.860436\pi\)
\(230\) −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 \(-0.730519\pi\)
0.662534 0.749032i \(-0.269481\pi\)
\(234\) −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 0.644028 0.765002i \(-0.277262\pi\)
−0.984525 + 0.175244i \(0.943929\pi\)
\(240\) 1.69448 0.358802i 0.109378 0.0231606i
\(241\) −22.1828 12.8072i −1.42892 0.824987i −0.431884 0.901929i \(-0.642151\pi\)
−0.997036 + 0.0769422i \(0.975484\pi\)
\(242\) 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 0.00292446 + 0.999996i \(0.499069\pi\)
−0.867484 + 0.497465i \(0.834264\pi\)
\(252\) −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 −0.0906647 0.995881i \(-0.528899\pi\)
0.817126 + 0.576459i \(0.195566\pi\)
\(258\) 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 −0.898273 0.439437i \(-0.855178\pi\)
0.0685729 0.997646i \(-0.478155\pi\)
\(270\) −2.12448 + 4.74200i −0.129292 + 0.288589i
\(271\) 4.22402i 0.256591i 0.991736 + 0.128296i \(0.0409506\pi\)
−0.991736 + 0.128296i \(0.959049\pi\)
\(272\) 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 \(0.167417\pi\)
−0.864845 + 0.502040i \(0.832583\pi\)
\(278\) 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 \(-0.996815\pi\)
0.999950 0.0100043i \(-0.00318453\pi\)
\(282\) −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 0.198393 0.980123i \(-0.436428\pi\)
−0.749615 + 0.661874i \(0.769761\pi\)
\(294\) −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 0.0715832 0.997435i \(-0.477195\pi\)
0.828012 0.560710i \(-0.189472\pi\)
\(308\) 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 \(0.00465172\pi\)
−0.999893 + 0.0146133i \(0.995348\pi\)
\(312\) −2.02388 9.55797i −0.114580 0.541114i
\(313\) 16.2622 + 9.38897i 0.919192 + 0.530696i 0.883377 0.468663i \(-0.155264\pi\)
0.0358147 + 0.999358i \(0.488597\pi\)
\(314\) 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 0.756395 0.654116i \(-0.226959\pi\)
−0.188283 + 0.982115i \(0.560292\pi\)
\(318\) 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 −0.0238321 0.999716i \(-0.507587\pi\)
0.853863 + 0.520497i \(0.174253\pi\)
\(332\) −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 \(0.188692\pi\)
−0.829384 + 0.558680i \(0.811308\pi\)
\(338\) 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 −0.992503 0.122221i \(-0.960998\pi\)
0.602098 + 0.798422i \(0.294332\pi\)
\(348\) −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 −0.682513 0.730874i \(-0.739113\pi\)
0.974212 + 0.225637i \(0.0724463\pi\)
\(354\) 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 −0.708510 0.705700i \(-0.750633\pi\)
0.256899 + 0.966438i \(0.417299\pi\)
\(360\) 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 −0.859455 0.511212i \(-0.829197\pi\)
0.0129954 + 0.999916i \(0.495863\pi\)
\(368\) −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 −0.359907 0.932988i \(-0.617192\pi\)
0.987945 0.154805i \(-0.0494750\pi\)
\(380\) 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 0.972661 + 0.232228i \(0.0746014\pi\)
−0.285216 + 0.958463i \(0.592065\pi\)
\(384\) 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 −0.897821 0.440360i \(-0.854851\pi\)
0.830273 + 0.557356i \(0.188184\pi\)
\(390\) 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 −0.526040 0.850460i \(-0.676324\pi\)
0.999540 + 0.0303340i \(0.00965710\pi\)
\(398\) 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 0.227896 0.973686i \(-0.426815\pi\)
−0.729289 + 0.684206i \(0.760149\pi\)
\(410\) −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 \(0.378018\pi\)
−0.373907 + 0.927466i \(0.621982\pi\)
\(420\) −0.660353 + 2.02702i −0.0322219 + 0.0989083i
\(421\) 16.6660 + 28.8664i 0.812253 + 1.40686i 0.911284 + 0.411778i \(0.135092\pi\)
−0.0990314 + 0.995084i \(0.531574\pi\)
\(422\) −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 −0.129932 0.991523i \(-0.541476\pi\)
−0.923650 + 0.383237i \(0.874809\pi\)
\(432\) 3.04445 + 4.21086i 0.146476 + 0.202595i
\(433\) 27.2143i 1.30783i −0.756566 0.653917i \(-0.773124\pi\)
0.756566 0.653917i \(-0.226876\pi\)
\(434\) −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 0.923979 0.382444i \(-0.124917\pi\)
−0.793195 + 0.608967i \(0.791584\pi\)
\(440\) −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 −0.891076 0.453855i \(-0.850048\pi\)
−0.0524878 + 0.998622i \(0.516715\pi\)
\(444\) −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 \(0.340471\pi\)
−0.480456 + 0.877019i \(0.659529\pi\)
\(458\) 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 \(0.150388\pi\)
−0.890452 + 0.455077i \(0.849612\pi\)
\(464\) 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 \(0.113241\pi\)
−0.937383 + 0.348301i \(0.886759\pi\)
\(468\) −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 0.996436 0.0843575i \(-0.0268838\pi\)
0.425162 + 0.905117i \(0.360217\pi\)
\(480\) 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 0.0918972 0.995769i \(-0.470707\pi\)
0.908309 + 0.418299i \(0.137374\pi\)
\(488\) −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 0.654978 0.755648i \(-0.272678\pi\)
−0.981899 + 0.189403i \(0.939345\pi\)
\(492\) 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 0.813674 0.581322i \(-0.197464\pi\)
−0.0966024 + 0.995323i \(0.530798\pi\)
\(500\) 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 0.748144 0.663537i \(-0.230945\pi\)
−0.200568 + 0.979680i \(0.564279\pi\)
\(504\) −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 0.559256 0.828995i \(-0.311087\pi\)
−0.997559 + 0.0698326i \(0.977753\pi\)
\(510\) 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 −0.0220296 0.999757i \(-0.507013\pi\)
−0.876830 + 0.480800i \(0.840346\pi\)
\(522\) −2.07793 + 2.85074i −0.0909487 + 0.124774i
\(523\) 35.6405i 1.55845i 0.626744 + 0.779225i \(0.284387\pi\)
−0.626744 + 0.779225i \(0.715613\pi\)
\(524\) 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 −0.305763 0.952108i \(-0.598911\pi\)
0.977431 0.211255i \(-0.0677552\pi\)
\(542\) −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 −0.995715 0.0924712i \(-0.970523\pi\)
0.417775 0.908550i \(-0.362810\pi\)
\(548\) −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 −0.616204 + 0.787587i \(0.711330\pi\)
−0.990172 + 0.139855i \(0.955336\pi\)
\(564\) 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 0.936397 + 0.350943i \(0.114139\pi\)
−0.164272 + 0.986415i \(0.552528\pi\)
\(570\) −0.798962 0.260282i −0.0334648 0.0109020i
\(571\) −33.3623 + 19.2617i −1.39617 + 0.806078i −0.993989 0.109482i \(-0.965081\pi\)
−0.402180 + 0.915561i \(0.631747\pi\)
\(572\) 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 0.430312 + 0.902680i \(0.358404\pi\)
−0.996900 + 0.0786795i \(0.974930\pi\)
\(578\) 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 \(0.122975\pi\)
−0.926295 + 0.376799i \(0.877025\pi\)
\(594\) 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 −0.521170 0.853453i \(-0.674504\pi\)
0.478527 + 0.878073i \(0.341171\pi\)
\(600\) −1.15797 1.28806i −0.0472740 0.0525849i
\(601\) −17.9323 10.3532i −0.731473 0.422316i 0.0874879 0.996166i \(-0.472116\pi\)
−0.818961 + 0.573850i \(0.805449\pi\)
\(602\) −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 0.520088 0.854113i \(-0.325899\pi\)
−0.999727 + 0.0233530i \(0.992566\pi\)
\(608\) −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 0.693222 0.720724i \(-0.256190\pi\)
−0.277554 + 0.960710i \(0.589524\pi\)
\(614\) 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 0.208328 0.978059i \(-0.433198\pi\)
−0.742860 + 0.669447i \(0.766531\pi\)
\(618\) 9.28555 1.96619i 0.373520 0.0790919i
\(619\) 27.7807i 1.11660i −0.829639 0.558300i \(-0.811454\pi\)
0.829639 0.558300i \(-0.188546\pi\)
\(620\) −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 −0.114313 0.993445i \(-0.536467\pi\)
0.803192 + 0.595720i \(0.203133\pi\)
\(632\) 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 0.728361 0.685193i \(-0.240282\pi\)
−0.957575 + 0.288183i \(0.906949\pi\)
\(642\) −11.9276 + 10.7229i −0.470743 + 0.423200i
\(643\) 20.3099i 0.800946i 0.916309 + 0.400473i \(0.131154\pi\)
−0.916309 + 0.400473i \(0.868846\pi\)
\(644\) 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 \(-0.919297\pi\)
0.968032 0.250828i \(-0.0807027\pi\)
\(654\) 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 \(-0.908062\pi\)
0.958577 0.284832i \(-0.0919378\pi\)
\(660\) 0.991101 + 1.10244i 0.0385786 + 0.0429126i
\(661\) −18.4963 32.0366i −0.719424 1.24608i −0.961228 0.275754i \(-0.911073\pi\)
0.241804 0.970325i \(-0.422261\pi\)
\(662\) 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 −0.689659 0.724134i \(-0.742240\pi\)
0.282289 + 0.959329i \(0.408906\pi\)
\(674\) −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 0.641196 0.767377i \(-0.278439\pi\)
−0.985166 + 0.171603i \(0.945105\pi\)
\(678\) −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 \(-0.999739\pi\)
1.00000 0.000819909i \(-0.000260985\pi\)
\(684\) 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 0.797356 0.603510i \(-0.206232\pi\)
−0.921333 + 0.388775i \(0.872898\pi\)
\(692\) −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 0.356094 0.934450i \(-0.384108\pi\)
−0.631211 + 0.775611i \(0.717442\pi\)
\(702\) −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 \(-0.785430\pi\)
0.781274 0.624188i \(-0.214570\pi\)
\(710\) −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 −0.246368 0.969176i \(-0.579237\pi\)
0.962515 0.271228i \(-0.0874296\pi\)
\(720\) 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 −0.108811 0.994062i \(-0.534704\pi\)
0.915289 0.402798i \(-0.131962\pi\)
\(728\) −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 0.983593 + 0.180401i \(0.0577396\pi\)
−0.335565 + 0.942017i \(0.608927\pi\)
\(734\) −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 −0.143453 0.989657i \(-0.545821\pi\)
0.785342 + 0.619062i \(0.212487\pi\)
\(740\) −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 −0.804218 0.594334i \(-0.797416\pi\)
0.916818 + 0.399306i \(0.130749\pi\)
\(752\) 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 −0.862891 0.505390i \(-0.831348\pi\)
0.00623560 + 0.999981i \(0.498015\pi\)
\(758\) 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 −0.536635 0.843814i \(-0.680305\pi\)
0.999082 + 0.0428324i \(0.0136382\pi\)
\(762\) 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 −0.999513 0.0312102i \(-0.990064\pi\)
0.526785 + 0.849998i \(0.323397\pi\)
\(770\) −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