Properties

Label 930.2.o.e.161.17
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 161.17
Character \(\chi\) \(=\) 930.161
Dual form 930.2.o.e.491.7

$q$-expansion

\(f(q)\) \(=\) \(q+1.00000i q^{2} +(1.28806 - 1.15797i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.15797 + 1.28806i) q^{6} +(0.615418 + 1.06593i) q^{7} -1.00000i q^{8} +(0.318204 - 2.98308i) q^{9} +O(q^{10})\) \(q+1.00000i q^{2} +(1.28806 - 1.15797i) q^{3} -1.00000 q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.15797 + 1.28806i) q^{6} +(0.615418 + 1.06593i) q^{7} -1.00000i q^{8} +(0.318204 - 2.98308i) q^{9} +(0.500000 - 0.866025i) q^{10} +(0.427947 - 0.741226i) q^{11} +(-1.28806 + 1.15797i) 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} +(2.98308 + 0.318204i) q^{18} +(-0.242571 - 0.420145i) q^{19} +(0.866025 + 0.500000i) q^{20} +(2.02702 + 0.660353i) q^{21} +(0.741226 + 0.427947i) q^{22} +7.95781 q^{23} +(-1.15797 - 1.28806i) 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} +(-0.318204 + 2.98308i) 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} +(-0.660353 + 2.02702i) q^{42} +(-4.37834 + 2.52784i) q^{43} +(-0.427947 + 0.741226i) q^{44} +(-1.76711 + 2.42432i) q^{45} +7.95781i q^{46} +2.88870i q^{47} +(1.28806 - 1.15797i) q^{48} +(2.74252 - 4.75019i) q^{49} +(-0.866025 + 0.500000i) q^{50} +(-11.2801 - 3.67480i) 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} +(-0.798962 - 0.260282i) 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} +(10.2502 - 9.21492i) q^{69} +1.23084 q^{70} +(3.36751 + 1.94423i) q^{71} +(-2.98308 - 0.318204i) q^{72} +(-4.44599 - 2.56690i) q^{73} +(4.36761 + 7.56493i) q^{74} +(1.64686 + 0.536508i) 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} +(-8.79749 - 1.89845i) q^{81} +(-3.59111 + 6.21998i) q^{82} +(-1.20254 + 2.08287i) q^{83} +(-2.02702 - 0.660353i) q^{84} +6.84947i q^{85} +(-2.52784 - 4.37834i) q^{86} +(-1.51462 + 1.36165i) q^{87} +(-0.741226 - 0.427947i) q^{88} -5.45985 q^{89} +(-2.42432 - 1.76711i) q^{90} +6.94272i q^{91} -7.95781 q^{92} +(-8.52347 - 4.51115i) q^{93} -2.88870 q^{94} +0.485142i q^{95} +(1.15797 + 1.28806i) q^{96} -5.55358 q^{97} +(4.75019 + 2.74252i) q^{98} +(-2.07496 - 1.51246i) 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
\(3\) 1.28806 1.15797i 0.743663 0.668555i
\(4\) −1.00000 −0.500000
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) 1.15797 + 1.28806i 0.472740 + 0.525849i
\(7\) 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
\(9\) 0.318204 2.98308i 0.106068 0.994359i
\(10\) 0.500000 0.866025i 0.158114 0.273861i
\(11\) 0.427947 0.741226i 0.129031 0.223488i −0.794270 0.607564i \(-0.792147\pi\)
0.923301 + 0.384076i \(0.125480\pi\)
\(12\) −1.28806 + 1.15797i −0.371831 + 0.334278i
\(13\) 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 \(-0.854653\pi\)
0.0669268 0.997758i \(-0.478681\pi\)
\(18\) 2.98308 + 0.318204i 0.703118 + 0.0750014i
\(19\) −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
\(21\) 2.02702 + 0.660353i 0.442332 + 0.144101i
\(22\) 0.741226 + 0.427947i 0.158030 + 0.0912386i
\(23\) 7.95781 1.65932 0.829660 0.558270i \(-0.188535\pi\)
0.829660 + 0.558270i \(0.188535\pi\)
\(24\) −1.15797 1.28806i −0.236370 0.262924i
\(25\) 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 \(-0.534822\pi\)
−0.109179 + 0.994022i \(0.534822\pi\)
\(30\) −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
\(36\) −0.318204 + 2.98308i −0.0530340 + 0.497179i
\(37\) 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 0.899662 0.436587i \(-0.143813\pi\)
0.0717356 + 0.997424i \(0.477146\pi\)
\(42\) −0.660353 + 2.02702i −0.101895 + 0.312776i
\(43\) −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
\(45\) −1.76711 + 2.42432i −0.263425 + 0.361396i
\(46\) 7.95781i 1.17332i
\(47\) 2.88870i 0.421360i 0.977555 + 0.210680i \(0.0675679\pi\)
−0.977555 + 0.210680i \(0.932432\pi\)
\(48\) 1.28806 1.15797i 0.185916 0.167139i
\(49\) 2.74252 4.75019i 0.391789 0.678598i
\(50\) −0.866025 + 0.500000i −0.122474 + 0.0707107i
\(51\) −11.2801 3.67480i −1.57954 0.514574i
\(52\) −4.88495 2.82033i −0.677421 0.391109i
\(53\) 0.346231 0.599690i 0.0475585 0.0823738i −0.841266 0.540621i \(-0.818189\pi\)
0.888825 + 0.458247i \(0.151523\pi\)
\(54\) 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
\(57\) −0.798962 0.260282i −0.105825 0.0344753i
\(58\) 1.17589i 0.154402i
\(59\) 0.639178 0.369029i 0.0832138 0.0480435i −0.457816 0.889047i \(-0.651368\pi\)
0.541030 + 0.841004i \(0.318035\pi\)
\(60\) 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
\(69\) 10.2502 9.21492i 1.23397 1.10935i
\(70\) 1.23084 0.147113
\(71\) 3.36751 + 1.94423i 0.399650 + 0.230738i 0.686333 0.727287i \(-0.259219\pi\)
−0.286683 + 0.958026i \(0.592553\pi\)
\(72\) −2.98308 0.318204i −0.351559 0.0375007i
\(73\) −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
\(75\) 1.64686 + 0.536508i 0.190163 + 0.0619506i
\(76\) 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
\(81\) −8.79749 1.89845i −0.977499 0.210939i
\(82\) −3.59111 + 6.21998i −0.396571 + 0.686882i
\(83\) −1.20254 + 2.08287i −0.131996 + 0.228624i −0.924446 0.381313i \(-0.875472\pi\)
0.792450 + 0.609937i \(0.208805\pi\)
\(84\) −2.02702 0.660353i −0.221166 0.0720504i
\(85\) 6.84947i 0.742929i
\(86\) −2.52784 4.37834i −0.272584 0.472129i
\(87\) −1.51462 + 1.36165i −0.162385 + 0.145984i
\(88\) −0.741226 0.427947i −0.0790150 0.0456193i
\(89\) −5.45985 −0.578742 −0.289371 0.957217i \(-0.593446\pi\)
−0.289371 + 0.957217i \(0.593446\pi\)
\(90\) −2.42432 1.76711i −0.255546 0.186270i
\(91\) 6.94272i 0.727794i
\(92\) −7.95781 −0.829660
\(93\) −8.52347 4.51115i −0.883843 0.467784i
\(94\) −2.88870 −0.297947
\(95\) 0.485142i 0.0497745i
\(96\) 1.15797 + 1.28806i 0.118185 + 0.131462i
\(97\) −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
\(99\) −2.07496 1.51246i −0.208541 0.152008i
\(100\) −0.500000 0.866025i −0.0500000 0.0866025i
\(101\) 4.31376i 0.429235i −0.976698 0.214618i \(-0.931149\pi\)
0.976698 0.214618i \(-0.0688506\pi\)
\(102\) 3.67480 11.2801i 0.363859 1.11690i
\(103\) −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
\(105\) −1.42527 1.58539i −0.139092 0.154718i
\(106\) 0.599690 + 0.346231i 0.0582471 + 0.0336290i
\(107\) −8.01947 + 4.63004i −0.775271 + 0.447603i −0.834752 0.550627i \(-0.814389\pi\)
0.0594807 + 0.998229i \(0.481056\pi\)
\(108\) 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
\(111\) 4.68652 14.3857i 0.444825 1.36543i
\(112\) 0.615418 + 1.06593i 0.0581515 + 0.100721i
\(113\) 16.5283 + 9.54261i 1.55485 + 0.897693i 0.997736 + 0.0672575i \(0.0214249\pi\)
0.557114 + 0.830436i \(0.311908\pi\)
\(114\) 0.260282 0.798962i 0.0243777 0.0748297i
\(115\) −6.89167 3.97891i −0.642652 0.371035i
\(116\) 1.17589 0.109179
\(117\) 9.96766 13.6747i 0.921511 1.26423i
\(118\) 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
\(129\) −2.71241 + 8.32601i −0.238814 + 0.733064i
\(130\) 4.88495 2.82033i 0.428438 0.247359i
\(131\) 7.08508 4.09057i 0.619026 0.357395i −0.157464 0.987525i \(-0.550332\pi\)
0.776490 + 0.630130i \(0.216998\pi\)
\(132\) 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
\(135\) 0.531144 + 5.16893i 0.0457136 + 0.444871i
\(136\) −5.93182 + 3.42474i −0.508649 + 0.293669i
\(137\) −11.1693 + 19.3458i −0.954258 + 1.65282i −0.218201 + 0.975904i \(0.570019\pi\)
−0.736057 + 0.676919i \(0.763315\pi\)
\(138\) 9.21492 + 10.2502i 0.784426 + 0.872551i
\(139\) 13.3668i 1.13376i 0.823802 + 0.566878i \(0.191849\pi\)
−0.823802 + 0.566878i \(0.808151\pi\)
\(140\) 1.23084i 0.104025i
\(141\) 3.34503 + 3.72082i 0.281703 + 0.313350i
\(142\) −1.94423 + 3.36751i −0.163157 + 0.282595i
\(143\) 4.18100 2.41390i 0.349633 0.201861i
\(144\) 0.318204 2.98308i 0.0265170 0.248590i
\(145\) 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 \(-0.785495\pi\)
0.149724 + 0.988728i \(0.452162\pi\)
\(150\) −0.536508 + 1.64686i −0.0438057 + 0.134466i
\(151\) 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
\(162\) 1.89845 8.79749i 0.149157 0.691196i
\(163\) −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
\(165\) −0.459194 + 1.40954i −0.0357482 + 0.109733i
\(166\) −2.08287 1.20254i −0.161662 0.0933355i
\(167\) −4.93083 8.54044i −0.381559 0.660879i 0.609727 0.792612i \(-0.291279\pi\)
−0.991285 + 0.131733i \(0.957946\pi\)
\(168\) 0.660353 2.02702i 0.0509473 0.156388i
\(169\) 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 \(-0.458665\pi\)
−0.793987 + 0.607934i \(0.791998\pi\)
\(174\) −1.36165 1.51462i −0.103227 0.114823i
\(175\) −0.615418 + 1.06593i −0.0465212 + 0.0805771i
\(176\) 0.427947 0.741226i 0.0322577 0.0558720i
\(177\) 0.395974 1.21548i 0.0297633 0.0913612i
\(178\) 5.45985i 0.409233i
\(179\) 12.2409 + 21.2018i 0.914926 + 1.58470i 0.807009 + 0.590539i \(0.201085\pi\)
0.107917 + 0.994160i \(0.465582\pi\)
\(180\) 1.76711 2.42432i 0.131713 0.180698i
\(181\) 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
\(183\) 7.51119 + 8.35502i 0.555243 + 0.617621i
\(184\) 7.95781i 0.586658i
\(185\) −8.73523 −0.642227
\(186\) 4.51115 8.52347i 0.330773 0.624971i
\(187\) −5.86242 −0.428703
\(188\) 2.88870i 0.210680i
\(189\) 2.61489 5.83662i 0.190205 0.424552i
\(190\) −0.485142 −0.0351959
\(191\) 10.6075 + 6.12422i 0.767529 + 0.443133i 0.831992 0.554787i \(-0.187200\pi\)
−0.0644637 + 0.997920i \(0.520534\pi\)
\(192\) −1.28806 + 1.15797i −0.0929578 + 0.0835694i
\(193\) −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
\(195\) −9.28939 3.02626i −0.665227 0.216715i
\(196\) −2.74252 + 4.75019i −0.195894 + 0.339299i
\(197\) −0.823054 + 1.42557i −0.0586402 + 0.101568i −0.893855 0.448356i \(-0.852010\pi\)
0.835215 + 0.549923i \(0.185343\pi\)
\(198\) 1.51246 2.07496i 0.107486 0.147461i
\(199\) 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
\(204\) 11.2801 + 3.67480i 0.789768 + 0.257287i
\(205\) −3.59111 6.21998i −0.250814 0.434422i
\(206\) −4.74572 2.73994i −0.330650 0.190901i
\(207\) 2.53221 23.7388i 0.176001 1.64996i
\(208\) 4.88495 + 2.82033i 0.338710 + 0.195554i
\(209\) −0.415230 −0.0287221
\(210\) 1.58539 1.42527i 0.109402 0.0983531i
\(211\) −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
\(222\) 14.3857 + 4.68652i 0.965507 + 0.314539i
\(223\) −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 −0.464850 0.885389i \(-0.653892\pi\)
−0.999195 + 0.0401223i \(0.987225\pi\)
\(228\) 0.798962 + 0.260282i 0.0529126 + 0.0172376i
\(229\) −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
\(231\) 1.35693 1.21988i 0.0892793 0.0802624i
\(232\) 1.17589i 0.0772012i
\(233\) 22.8670i 1.49806i −0.662534 0.749032i \(-0.730519\pi\)
0.662534 0.749032i \(-0.269481\pi\)
\(234\) 13.6747 + 9.96766i 0.893946 + 0.651606i
\(235\) 1.44435 2.50169i 0.0942190 0.163192i
\(236\) −0.639178 + 0.369029i −0.0416069 + 0.0240218i
\(237\) 1.85792 5.70306i 0.120685 0.370453i
\(238\) 7.30109 + 4.21529i 0.473259 + 0.273236i
\(239\) 5.26395 9.11743i 0.340497 0.589758i −0.644028 0.765002i \(-0.722738\pi\)
0.984525 + 0.175244i \(0.0560714\pi\)
\(240\) −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
\(243\) −13.5301 + 7.74192i −0.867954 + 0.496645i
\(244\) 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 \(0.165736\pi\)
−0.00292446 + 0.999996i \(0.500931\pi\)
\(252\) −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
\(255\) 7.93149 + 8.82254i 0.496689 + 0.552489i
\(256\) 1.00000 0.0625000
\(257\) −11.6461 6.72386i −0.726462 0.419423i 0.0906647 0.995881i \(-0.471101\pi\)
−0.817126 + 0.576459i \(0.804434\pi\)
\(258\) −8.32601 2.71241i −0.518355 0.168867i
\(259\) 9.31118 + 5.37581i 0.578569 + 0.334037i
\(260\) 2.82033 + 4.88495i 0.174909 + 0.302952i
\(261\) −0.374174 + 3.50778i −0.0231608 + 0.217126i
\(262\) 4.09057 + 7.08508i 0.252716 + 0.437718i
\(263\) −9.48908 −0.585122 −0.292561 0.956247i \(-0.594507\pi\)
−0.292561 + 0.956247i \(0.594507\pi\)
\(264\) −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
\(267\) −7.03262 + 6.32235i −0.430389 + 0.386921i
\(268\) −4.07315 + 7.05491i −0.248807 + 0.430947i
\(269\) 13.6081 23.5699i 0.829700 1.43708i −0.0685729 0.997646i \(-0.521845\pi\)
0.898273 0.439437i \(-0.144822\pi\)
\(270\) −5.16893 + 0.531144i −0.314571 + 0.0323244i
\(271\) 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
\(273\) 8.03947 + 8.94264i 0.486571 + 0.541233i
\(274\) −19.3458 11.1693i −1.16872 0.674762i
\(275\) 0.855894 0.0516124
\(276\) −10.2502 + 9.21492i −0.616987 + 0.554673i
\(277\) 16.7112i 1.00408i −0.864845 0.502040i \(-0.832583\pi\)
0.864845 0.502040i \(-0.167417\pi\)
\(278\) −13.3668 −0.801687
\(279\) −16.2025 + 4.05930i −0.970020 + 0.243024i
\(280\) −1.23084 −0.0735565
\(281\) 0.335407i 0.0200087i −0.999950 0.0100043i \(-0.996815\pi\)
0.999950 0.0100043i \(-0.00318453\pi\)
\(282\) −3.72082 + 3.34503i −0.221572 + 0.199194i
\(283\) −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
\(285\) 0.561780 + 0.624892i 0.0332770 + 0.0370154i
\(286\) 2.41390 + 4.18100i 0.142737 + 0.247228i
\(287\) 8.84012i 0.521816i
\(288\) 2.98308 + 0.318204i 0.175779 + 0.0187503i
\(289\) −14.9576 + 25.9074i −0.879860 + 1.52396i
\(290\) −0.587947 + 1.01835i −0.0345254 + 0.0597998i
\(291\) −7.15335 + 6.43088i −0.419337 + 0.376985i
\(292\) 4.44599 + 2.56690i 0.260182 + 0.150216i
\(293\) 9.43540 5.44753i 0.551222 0.318248i −0.198393 0.980123i \(-0.563572\pi\)
0.749615 + 0.661874i \(0.230239\pi\)
\(294\) 9.29430 1.96805i 0.542054 0.114779i
\(295\) −0.738059 −0.0429714
\(296\) −4.36761 7.56493i −0.253862 0.439703i
\(297\) −4.42406 + 0.454603i −0.256710 + 0.0263788i
\(298\) −4.45172 7.71061i −0.257882 0.446664i
\(299\) 38.8735 + 22.4436i 2.24811 + 1.29795i
\(300\) −1.64686 0.536508i −0.0950817 0.0309753i
\(301\) −5.38902 3.11135i −0.310618 0.179335i
\(302\) −9.97617 −0.574064
\(303\) −4.99521 5.55639i −0.286968 0.319206i
\(304\) −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 \(0.00465172\pi\)
−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 0.0358147 0.999358i \(-0.488597\pi\)
0.883377 + 0.468663i \(0.155264\pi\)
\(314\) 3.11711i 0.175908i
\(315\) −3.67168 0.391657i −0.206876 0.0220673i
\(316\) −2.99903 + 1.73149i −0.168709 + 0.0974040i
\(317\) −10.1149 + 5.83986i −0.568111 + 0.327999i −0.756395 0.654116i \(-0.773041\pi\)
0.188283 + 0.982115i \(0.439708\pi\)
\(318\) 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
\(321\) −4.96811 + 15.2501i −0.277293 + 0.851177i
\(322\) −8.48251 + 4.89738i −0.472712 + 0.272920i
\(323\) −1.66148 + 2.87777i −0.0924473 + 0.160123i
\(324\) 8.79749 + 1.89845i 0.488750 + 0.105470i
\(325\) 5.64065i 0.312887i
\(326\) 1.12144i 0.0621110i
\(327\) −26.1620 + 23.5197i −1.44676 + 1.30064i
\(328\) 3.59111 6.21998i 0.198286 0.343441i
\(329\) −3.07917 + 1.77776i −0.169760 + 0.0980110i
\(330\) −1.40954 0.459194i −0.0775927 0.0252778i
\(331\) 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
\(336\) 2.02702 + 0.660353i 0.110583 + 0.0360252i
\(337\) 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 0.992503 0.122221i \(-0.0390015\pi\)
−0.602098 + 0.798422i \(0.705668\pi\)
\(348\) 1.51462 1.36165i 0.0811923 0.0729922i
\(349\) 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
\(351\) −2.99600 29.1562i −0.159915 1.55624i
\(352\) 0.741226 + 0.427947i 0.0395075 + 0.0228097i
\(353\) −5.48052 9.49254i −0.291699 0.505237i 0.682513 0.730874i \(-0.260887\pi\)
−0.974212 + 0.225637i \(0.927554\pi\)
\(354\) 1.21548 + 0.395974i 0.0646021 + 0.0210458i
\(355\) −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 \(-0.249367\pi\)
−0.256899 + 0.966438i \(0.582701\pi\)
\(360\) 2.42432 + 1.76711i 0.127773 + 0.0931349i
\(361\) 9.38232 16.2507i 0.493806 0.855298i
\(362\) −7.50878 + 13.0056i −0.394653 + 0.683558i
\(363\) 16.9091 + 5.50857i 0.887497 + 0.289125i
\(364\) 6.94272i 0.363897i
\(365\) 2.56690 + 4.44599i 0.134357 + 0.232714i
\(366\) −8.35502 + 7.51119i −0.436724 + 0.392616i
\(367\) −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
\(369\) 12.6918 17.4120i 0.660707 0.906431i
\(370\) 8.73523i 0.454123i
\(371\) 0.852307 0.0442496
\(372\) 8.52347 + 4.51115i 0.441921 + 0.233892i
\(373\) −7.24267 −0.375011 −0.187506 0.982264i \(-0.560040\pi\)
−0.187506 + 0.982264i \(0.560040\pi\)
\(374\) 5.86242i 0.303139i
\(375\) −1.15797 1.28806i −0.0597974 0.0665152i
\(376\) 2.88870 0.148973
\(377\) −5.74418 3.31640i −0.295840 0.170803i
\(378\) 5.83662 + 2.61489i 0.300203 + 0.134495i
\(379\) 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
\(381\) −6.51563 + 20.0004i −0.333806 + 1.02465i
\(382\) −6.12422 + 10.6075i −0.313342 + 0.542725i
\(383\) −13.4536 + 23.3023i −0.687446 + 1.19069i 0.285216 + 0.958463i \(0.407935\pi\)
−0.972661 + 0.232228i \(0.925399\pi\)
\(384\) −1.15797 1.28806i −0.0590925 0.0657311i
\(385\) −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 \(-0.145149\pi\)
−0.830273 + 0.557356i \(0.811816\pi\)
\(390\) 3.02626 9.28939i 0.153240 0.470386i
\(391\) −27.2534 47.2043i −1.37826 2.38722i
\(392\) −4.75019 2.74252i −0.239921 0.138518i
\(393\) 4.38925 13.4732i 0.221408 0.679635i
\(394\) −1.42557 0.823054i −0.0718192 0.0414649i
\(395\) −3.46298 −0.174242
\(396\) 2.07496 + 1.51246i 0.104271 + 0.0760040i
\(397\) 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 \(-0.445243\pi\)
0.171177 + 0.985240i \(0.445243\pi\)
\(402\) 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
\(408\) −3.67480 + 11.2801i −0.181930 + 0.558450i
\(409\) −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
\(414\) 23.7388 + 2.53221i 1.16670 + 0.124451i
\(415\) 2.08287 1.20254i 0.102244 0.0590305i
\(416\) −2.82033 + 4.88495i −0.138278 + 0.239504i
\(417\) 15.4784 + 17.2172i 0.757978 + 0.843132i
\(418\) 0.415230i 0.0203096i
\(419\) 37.9695i 1.85493i 0.373907 + 0.927466i \(0.378018\pi\)
−0.373907 + 0.927466i \(0.621982\pi\)
\(420\) 1.42527 + 1.58539i 0.0695462 + 0.0773592i
\(421\) 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
\(423\) 8.61722 + 0.919196i 0.418983 + 0.0446928i
\(424\) −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
\(429\) 2.59015 7.95073i 0.125054 0.383865i
\(430\) 5.05568i 0.243806i
\(431\) 21.8729 12.6283i 1.05358 0.608286i 0.129932 0.991523i \(-0.458524\pi\)
0.923650 + 0.383237i \(0.125191\pi\)
\(432\) −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
\(441\) −13.2975 9.69268i −0.633214 0.461556i
\(442\) 38.6355 1.83770
\(443\) 19.8597 + 11.4660i 0.943563 + 0.544767i 0.891076 0.453855i \(-0.149952\pi\)
0.0524878 + 0.998622i \(0.483285\pi\)
\(444\) −4.68652 + 14.3857i −0.222412 + 0.682716i
\(445\) 4.72837 + 2.72992i 0.224146 + 0.129411i
\(446\) −6.61933 11.4650i −0.313435 0.542884i
\(447\) −4.77677 + 14.6628i −0.225934 + 0.693525i
\(448\) −0.615418 1.06593i −0.0290758 0.0503607i
\(449\) −10.9265 −0.515655 −0.257828 0.966191i \(-0.583007\pi\)
−0.257828 + 0.966191i \(0.583007\pi\)
\(450\) 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
\(453\) 11.5521 + 12.8499i 0.542766 + 0.603742i
\(454\) 12.7352 22.0581i 0.597694 1.03524i
\(455\) 3.47136 6.01257i 0.162740 0.281874i
\(456\) −0.260282 + 0.798962i −0.0121888 + 0.0374148i
\(457\) 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
\(459\) −14.5516 + 32.4802i −0.679210 + 1.51605i
\(460\) 6.89167 + 3.97891i 0.321326 + 0.185518i
\(461\) −13.1893 −0.614288 −0.307144 0.951663i \(-0.599373\pi\)
−0.307144 + 0.951663i \(0.599373\pi\)
\(462\) 1.21988 + 1.35693i 0.0567541 + 0.0631300i
\(463\) 19.5842i 0.910154i −0.890452 0.455077i \(-0.849612\pi\)
0.890452 0.455077i \(-0.150388\pi\)
\(464\) −1.17589 −0.0545895
\(465\) 5.12597 + 8.16850i 0.237711 + 0.378805i
\(466\) 22.8670 1.05929
\(467\) 15.0537i 0.696603i 0.937383 + 0.348301i \(0.113241\pi\)
−0.937383 + 0.348301i \(0.886759\pi\)
\(468\) −9.96766 + 13.6747i −0.460755 + 0.632115i
\(469\) 10.0268 0.462993
\(470\) 2.50169 + 1.44435i 0.115394 + 0.0666229i
\(471\) −4.01502 + 3.60952i −0.185002 + 0.166318i
\(472\) −0.369029 0.639178i −0.0169860 0.0294205i
\(473\) 4.32712i 0.198961i
\(474\) 5.70306 + 1.85792i 0.261950 + 0.0853370i
\(475\) 0.242571 0.420145i 0.0111299 0.0192776i
\(476\) −4.21529 + 7.30109i −0.193207 + 0.334645i
\(477\) −1.67875 1.22366i −0.0768647 0.0560275i
\(478\) 9.11743 + 5.26395i 0.417022 + 0.240768i
\(479\) −31.1132 + 17.9632i −1.42160 + 0.820760i −0.996436 0.0843575i \(-0.973116\pi\)
−0.425162 + 0.905117i \(0.639783\pi\)
\(480\) −0.358802 1.69448i −0.0163770 0.0773421i
\(481\) 49.2724 2.24663
\(482\) −12.8072 22.1828i −0.583354 1.01040i
\(483\) 16.1306 + 5.25497i 0.733969 + 0.239109i
\(484\) −5.13372 8.89187i −0.233351 0.404176i
\(485\) 4.80954 + 2.77679i 0.218390 + 0.126087i
\(486\) −7.74192 13.5301i −0.351181 0.613736i
\(487\) 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
\(489\) −1.44449 + 1.29860i −0.0653220 + 0.0587247i
\(490\) −2.74252 4.75019i −0.123895 0.214592i
\(491\) 7.24410 12.5471i 0.326922 0.566245i −0.654978 0.755648i \(-0.727322\pi\)
0.981899 + 0.189403i \(0.0606554\pi\)
\(492\) −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
\(501\) −16.2408 5.29085i −0.725585 0.236378i
\(502\) −23.7242 + 13.6972i −1.05886 + 0.611336i
\(503\) −12.2809 + 7.09036i −0.547576 + 0.316143i −0.748144 0.663537i \(-0.769055\pi\)
0.200568 + 0.979680i \(0.435721\pi\)
\(504\) −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
\(507\) 30.9890 + 10.0955i 1.37627 + 0.448355i
\(508\) 10.5175 6.07226i 0.466637 0.269413i
\(509\) 9.88856 17.1275i 0.438303 0.759162i −0.559256 0.828995i \(-0.688913\pi\)
0.997559 + 0.0698326i \(0.0222465\pi\)
\(510\) −8.82254 + 7.93149i −0.390669 + 0.351212i
\(511\) 6.31885i 0.279530i
\(512\) 1.00000i 0.0441942i
\(513\) −1.03068 + 2.30054i −0.0455054 + 0.101571i
\(514\) 6.72386 11.6461i 0.296577 0.513686i
\(515\) 4.74572 2.73994i 0.209121 0.120736i
\(516\) 2.71241 8.32601i 0.119407 0.366532i
\(517\) 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 \(-0.492987\pi\)
0.876830 + 0.480800i \(0.159654\pi\)
\(522\) −3.50778 0.374174i −0.153531 0.0163771i
\(523\) 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
\(534\) −6.32235 7.03262i −0.273595 0.304331i
\(535\) 9.26008 0.400348
\(536\) −7.05491 4.07315i −0.304726 0.175933i
\(537\) 40.3181 + 13.1347i 1.73986 + 0.566802i
\(538\) 23.5699 + 13.6081i 1.01617 + 0.586687i
\(539\) −2.34731 4.06566i −0.101106 0.175120i
\(540\) −0.531144 5.16893i −0.0228568 0.222436i
\(541\) 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
\(546\) −8.94264 + 8.03947i −0.382710 + 0.344057i
\(547\) −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
\(549\) 19.3498 + 2.06403i 0.825827 + 0.0880907i
\(550\) 0.855894i 0.0364955i
\(551\) 0.285238 + 0.494046i 0.0121515 + 0.0210471i
\(552\) −9.21492 10.2502i −0.392213 0.436276i
\(553\) 3.69131 + 2.13118i 0.156971 + 0.0906270i
\(554\) 16.7112 0.709991
\(555\) −11.2515 + 10.1151i −0.477600 + 0.429364i
\(556\) 13.3668i 0.566878i
\(557\) 2.95495 0.125205 0.0626025 0.998039i \(-0.480060\pi\)
0.0626025 + 0.998039i \(0.480060\pi\)
\(558\) −4.05930 16.2025i −0.171844 0.685908i
\(559\) −28.5173 −1.20615
\(560\) 1.23084i 0.0520123i
\(561\) −7.55116 + 6.78852i −0.318810 + 0.286611i
\(562\) 0.335407 0.0141483
\(563\) 38.1155 + 22.0060i 1.60638 + 0.927441i 0.990172 + 0.139855i \(0.0446635\pi\)
0.616204 + 0.787587i \(0.288670\pi\)
\(564\) −3.34503 3.72082i −0.140851 0.156675i
\(565\) −9.54261 16.5283i −0.401461 0.695350i
\(566\) 3.13491i 0.131770i
\(567\) −3.39051 10.5459i −0.142388 0.442886i
\(568\) 1.94423 3.36751i 0.0815783 0.141298i
\(569\) −18.4180 + 31.9010i −0.772124 + 1.33736i 0.164272 + 0.986415i \(0.447472\pi\)
−0.936397 + 0.350943i \(0.885861\pi\)
\(570\) −0.624892 + 0.561780i −0.0261739 + 0.0235304i
\(571\) −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
\(576\) −0.318204 + 2.98308i −0.0132585 + 0.124295i
\(577\) −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
\(579\) −41.1199 13.3959i −1.70889 0.556714i
\(580\) −1.01835 0.587947i −0.0422848 0.0244132i
\(581\) −2.96027 −0.122813
\(582\) −6.43088 7.15335i −0.266569 0.296516i
\(583\) −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 \(-0.352607\pi\)
0.446677 + 0.894695i \(0.352607\pi\)
\(588\) 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 \(0.877025\pi\)
\(594\) −0.454603 4.42406i −0.0186526 0.181521i
\(595\) −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 \(-0.325496\pi\)
−0.478527 + 0.878073i \(0.658829\pi\)
\(600\) 0.536508 1.64686i 0.0219028 0.0672329i
\(601\) −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
\(603\) −19.7492 14.3954i −0.804251 0.586227i
\(604\) 9.97617i 0.405925i
\(605\) 10.2674i 0.417431i
\(606\) 5.55639 4.99521i 0.225713 0.202917i
\(607\) −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
\(609\) −2.38356 0.776505i −0.0965866 0.0314656i
\(610\) 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
\(615\) −11.8281 3.85332i −0.476956 0.155381i
\(616\) 1.05346i 0.0424453i
\(617\) 13.2775 7.66578i 0.534533 0.308613i −0.208328 0.978059i \(-0.566802\pi\)
0.742860 + 0.669447i \(0.233469\pi\)
\(618\) −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
\(627\) −0.534842 + 0.480825i −0.0213595 + 0.0192023i
\(628\) 3.11711 0.124386
\(629\) −51.8158 29.9158i −2.06603 1.19282i
\(630\) 0.391657 3.67168i 0.0156040 0.146283i
\(631\) 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
\(633\) −21.0073 6.84367i −0.834966 0.272011i
\(634\) −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
\(639\) 6.87136 9.42689i 0.271827 0.372922i
\(640\) −0.500000 + 0.866025i −0.0197642 + 0.0342327i
\(641\) 5.80324 10.0515i 0.229214 0.397011i −0.728361 0.685193i \(-0.759718\pi\)
0.957575 + 0.288183i \(0.0930510\pi\)
\(642\) −15.2501 4.96811i −0.601873 0.196076i
\(643\) 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
\(645\) 6.51202 5.85433i 0.256411 0.230514i
\(646\) −2.87777 1.66148i −0.113224 0.0653701i
\(647\) −6.80419 −0.267500 −0.133750 0.991015i \(-0.542702\pi\)
−0.133750 + 0.991015i \(0.542702\pi\)
\(648\) −1.89845 + 8.79749i −0.0745783 + 0.345598i
\(649\) 0.631700i 0.0247964i
\(650\) −5.64065 −0.221245
\(651\) −0.436905 11.8617i −0.0171237 0.464897i
\(652\) 1.12144 0.0439191
\(653\) 12.8192i 0.501655i −0.968032 0.250828i \(-0.919297\pi\)
0.968032 0.250828i \(-0.0807027\pi\)
\(654\) −23.5197 26.1620i −0.919694 1.02302i
\(655\) −8.18115 −0.319664
\(656\) 6.21998 + 3.59111i 0.242849 + 0.140209i
\(657\) −9.07198 + 12.4459i −0.353932 + 0.485563i
\(658\) −1.77776 3.07917i −0.0693042 0.120038i
\(659\) 14.6238i 0.569664i −0.958577 0.284832i \(-0.908062\pi\)
0.958577 0.284832i \(-0.0919378\pi\)
\(660\) 0.459194 1.40954i 0.0178741 0.0548663i
\(661\) −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
\(663\) −44.7388 49.7649i −1.73751 1.93271i
\(664\) 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
\(669\) −7.10265 + 21.8023i −0.274604 + 0.842925i
\(670\) −4.07315 7.05491i −0.157360 0.272555i
\(671\) 4.80797 + 2.77588i 0.185610 + 0.107162i
\(672\) −0.660353 + 2.02702i −0.0254737 + 0.0781939i
\(673\) −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
\(675\) 2.12448 4.74200i 0.0817714 0.182520i
\(676\) −9.40849 16.2960i −0.361865 0.626768i
\(677\) 8.94985 15.5016i 0.343971 0.595774i −0.641196 0.767377i \(-0.721561\pi\)
0.985166 + 0.171603i \(0.0548946\pi\)
\(678\) 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
\(687\) −9.28533 + 28.5022i −0.354257 + 1.08743i
\(688\) −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
\(693\) 0.335217 3.14257i 0.0127338 0.119376i
\(694\) −12.5962 + 7.27245i −0.478147 + 0.276058i
\(695\) 6.68339 11.5760i 0.253516 0.439102i
\(696\) 1.36165 + 1.51462i 0.0516133 + 0.0574116i
\(697\) 49.1944i 1.86337i
\(698\) 12.3867i 0.468844i
\(699\) −26.4793 29.4540i −1.00154 1.11405i
\(700\) 0.615418 1.06593i 0.0232606 0.0402885i
\(701\) 7.28410 4.20548i 0.275117 0.158839i −0.356094 0.934450i \(-0.615892\pi\)
0.631211 + 0.775611i \(0.282558\pi\)
\(702\) 29.1562 2.99600i 1.10043 0.113077i
\(703\) −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
\(708\) −0.395974 + 1.21548i −0.0148816 + 0.0456806i
\(709\) 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 \(-0.912570\pi\)
0.246368 0.969176i \(-0.420763\pi\)
\(720\) −1.76711 + 2.42432i −0.0658563 + 0.0903490i
\(721\) −6.74484 −0.251191
\(722\) 16.2507 + 9.38232i 0.604787 + 0.349174i
\(723\) −13.7424 + 42.1836i −0.511085 + 1.56882i
\(724\) −13.0056 7.50878i −0.483349 0.279062i
\(725\) −0.587947 1.01835i −0.0218358 0.0378207i
\(726\) −5.50857 + 16.9091i −0.204442 + 0.627555i
\(727\) 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
\(732\) −7.51119 8.35502i −0.277622 0.308810i
\(733\) 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
\(735\) −2.94277 + 9.03312i −0.108546 + 0.333192i
\(736\) 7.95781i 0.293329i
\(737\) −3.48619 6.03825i −0.128415 0.222422i
\(738\) 17.4120 + 12.6918i 0.640944 + 0.467190i
\(739\) 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
\(741\) −3.16881 3.52480i −0.116409 0.129487i
\(742\) 0.852307i 0.0312892i
\(743\) 5.85981 0.214976 0.107488 0.994206i \(-0.465719\pi\)
0.107488 + 0.994206i \(0.465719\pi\)
\(744\) −4.51115 + 8.52347i −0.165387 + 0.312486i
\(745\) 8.90345 0.326197
\(746\) 7.24267i 0.265173i
\(747\) 5.83070 + 4.25005i 0.213334 + 0.155501i
\(748\) 5.86242 0.214351
\(749\) −9.87064 5.69882i −0.360665 0.208230i
\(750\) 1.28806 1.15797i 0.0470333 0.0422831i
\(751\) 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
\(753\) 45.1148 + 14.6973i 1.64408 + 0.535600i
\(754\) 3.31640 5.74418i 0.120776 0.209191i
\(755\) 4.98808 8.63961i 0.181535 0.314428i
\(756\) −2.61489 + 5.83662i −0.0951026 + 0.212276i
\(757\) −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 0.536635 0.843814i \(-0.319695\pi\)
−0.999082 + 0.0428324i \(0.986362\pi\)
\(762\) −20.0004 6.51563i −0.724536 0.236036i
\(763\) −12.4998 21.6504i −0.452525 0.783795i
\(764\) −10.6075 6.12422i −0.383764 0.221566i
\(765\) 20.4325 + 2.17953i 0.738738 + 0.0788010i
\(766\) −23.3023 13.4536i −0.841946 0.486097i
\(767\) 4.16313 0.150322
\(768\) 1.28806 1.15797i 0.0464789 0.0417847i
\(769\) −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 \(-0.691415\pi\)
−0.565754 + 0.824574i \(0.691415\pi\)
\(774\) −13.8653 + 6.14753i −0.498378 + 0.220968i
\(775\) 3.56743 4.27475i 0.128146 0.153553i