Newspace parameters
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.i (of order \(3\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
Defining polynomial: | \(x^{2} - x + 1\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 81.1 | ||
Root | \(0.500000 + 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 112.81 |
Dual form | 112.2.i.c.65.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.50000 | − | 2.59808i | 0.866025 | − | 1.50000i | − | 1.00000i | \(-0.5\pi\) | |
0.866025 | − | 0.500000i | \(-0.166667\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | 0.955901 | − | 0.293691i | \(-0.0948835\pi\) |
−0.732294 | + | 0.680989i | \(0.761550\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.00000 | + | 1.73205i | −0.755929 | + | 0.654654i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.00000 | − | 5.19615i | −1.00000 | − | 1.73205i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.500000 | + | 0.866025i | −0.150756 | + | 0.261116i | −0.931505 | − | 0.363727i | \(-0.881504\pi\) |
0.780750 | + | 0.624844i | \(0.214837\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.00000 | 0.554700 | 0.277350 | − | 0.960769i | \(-0.410544\pi\) | ||||
0.277350 | + | 0.960769i | \(0.410544\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.00000 | 0.774597 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.50000 | + | 2.59808i | −0.363803 | + | 0.630126i | −0.988583 | − | 0.150675i | \(-0.951855\pi\) |
0.624780 | + | 0.780801i | \(0.285189\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.50000 | + | 4.33013i | 0.573539 | + | 0.993399i | 0.996199 | + | 0.0871106i | \(0.0277634\pi\) |
−0.422659 | + | 0.906289i | \(0.638903\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.50000 | + | 7.79423i | 0.327327 | + | 1.70084i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.50000 | − | 2.59808i | −0.312772 | − | 0.541736i | 0.666190 | − | 0.745782i | \(-0.267924\pi\) |
−0.978961 | + | 0.204046i | \(0.934591\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.00000 | − | 3.46410i | 0.400000 | − | 0.692820i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −9.00000 | −1.73205 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.00000 | −1.11417 | −0.557086 | − | 0.830455i | \(-0.688081\pi\) | ||||
−0.557086 | + | 0.830455i | \(0.688081\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.500000 | + | 0.866025i | −0.0898027 | + | 0.155543i | −0.907428 | − | 0.420208i | \(-0.861957\pi\) |
0.817625 | + | 0.575751i | \(0.195290\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.50000 | + | 2.59808i | 0.261116 | + | 0.452267i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.50000 | − | 0.866025i | −0.422577 | − | 0.146385i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.50000 | + | 4.33013i | 0.410997 | + | 0.711868i | 0.994999 | − | 0.0998840i | \(-0.0318472\pi\) |
−0.584002 | + | 0.811752i | \(0.698514\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.00000 | − | 5.19615i | 0.480384 | − | 0.832050i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −10.0000 | −1.56174 | −0.780869 | − | 0.624695i | \(-0.785223\pi\) | ||||
−0.780869 | + | 0.624695i | \(0.785223\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.00000 | 0.609994 | 0.304997 | − | 0.952353i | \(-0.401344\pi\) | ||||
0.304997 | + | 0.952353i | \(0.401344\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.00000 | − | 5.19615i | 0.447214 | − | 0.774597i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.500000 | + | 0.866025i | 0.0729325 | + | 0.126323i | 0.900185 | − | 0.435507i | \(-0.143431\pi\) |
−0.827253 | + | 0.561830i | \(0.810098\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.00000 | − | 6.92820i | 0.142857 | − | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.50000 | + | 7.79423i | 0.630126 | + | 1.09141i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.50000 | − | 7.79423i | 0.618123 | − | 1.07062i | −0.371706 | − | 0.928351i | \(-0.621227\pi\) |
0.989828 | − | 0.142269i | \(-0.0454398\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.00000 | −0.134840 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 15.0000 | 1.98680 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.50000 | − | 2.59808i | 0.195283 | − | 0.338241i | −0.751710 | − | 0.659494i | \(-0.770771\pi\) |
0.946993 | + | 0.321253i | \(0.104104\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.50000 | − | 2.59808i | −0.192055 | − | 0.332650i | 0.753876 | − | 0.657017i | \(-0.228182\pi\) |
−0.945931 | + | 0.324367i | \(0.894849\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 15.0000 | + | 5.19615i | 1.88982 | + | 0.654654i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.00000 | + | 1.73205i | 0.124035 | + | 0.214834i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.50000 | − | 9.52628i | 0.671932 | − | 1.16382i | −0.305424 | − | 0.952217i | \(-0.598798\pi\) |
0.977356 | − | 0.211604i | \(-0.0678686\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −9.00000 | −1.08347 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −16.0000 | −1.89885 | −0.949425 | − | 0.313993i | \(-0.898333\pi\) | ||||
−0.949425 | + | 0.313993i | \(0.898333\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.50000 | + | 6.06218i | −0.409644 | + | 0.709524i | −0.994850 | − | 0.101361i | \(-0.967680\pi\) |
0.585206 | + | 0.810885i | \(0.301014\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −6.00000 | − | 10.3923i | −0.692820 | − | 1.20000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.500000 | − | 2.59808i | −0.0569803 | − | 0.296078i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.50000 | − | 9.52628i | −0.618798 | − | 1.07179i | −0.989705 | − | 0.143120i | \(-0.954286\pi\) |
0.370907 | − | 0.928670i | \(-0.379047\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −4.50000 | + | 7.79423i | −0.500000 | + | 0.866025i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.00000 | 0.439057 | 0.219529 | − | 0.975606i | \(-0.429548\pi\) | ||||
0.219529 | + | 0.975606i | \(0.429548\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.00000 | −0.325396 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −9.00000 | + | 15.5885i | −0.964901 | + | 1.67126i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.50000 | + | 7.79423i | 0.476999 | + | 0.826187i | 0.999653 | − | 0.0263586i | \(-0.00839118\pi\) |
−0.522654 | + | 0.852545i | \(0.675058\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.00000 | + | 3.46410i | −0.419314 | + | 0.363137i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.50000 | + | 2.59808i | 0.155543 | + | 0.269408i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.50000 | + | 4.33013i | −0.256495 | + | 0.444262i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.00000 | 0.609208 | 0.304604 | − | 0.952479i | \(-0.401476\pi\) | ||||
0.304604 | + | 0.952479i | \(0.401476\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.00000 | 0.603023 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.50000 | − | 11.2583i | 0.646774 | − | 1.12025i | −0.337115 | − | 0.941464i | \(-0.609451\pi\) |
0.983889 | − | 0.178782i | \(-0.0572157\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.50000 | + | 4.33013i | 0.246332 | + | 0.426660i | 0.962505 | − | 0.271263i | \(-0.0874412\pi\) |
−0.716173 | + | 0.697923i | \(0.754108\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −6.00000 | + | 5.19615i | −0.585540 | + | 0.507093i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.50000 | − | 2.59808i | −0.145010 | − | 0.251166i | 0.784366 | − | 0.620298i | \(-0.212988\pi\) |
−0.929377 | + | 0.369132i | \(0.879655\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.50000 | + | 9.52628i | −0.526804 | + | 0.912452i | 0.472708 | + | 0.881219i | \(0.343277\pi\) |
−0.999512 | + | 0.0312328i | \(0.990057\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 15.0000 | 1.42374 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −10.0000 | −0.940721 | −0.470360 | − | 0.882474i | \(-0.655876\pi\) | ||||
−0.470360 | + | 0.882474i | \(0.655876\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.50000 | − | 2.59808i | 0.139876 | − | 0.242272i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −6.00000 | − | 10.3923i | −0.554700 | − | 0.960769i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.50000 | − | 7.79423i | −0.137505 | − | 0.714496i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.00000 | + | 8.66025i | 0.454545 | + | 0.787296i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −15.0000 | + | 25.9808i | −1.35250 | + | 2.34261i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.00000 | 0.804984 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.00000 | 0.709885 | 0.354943 | − | 0.934888i | \(-0.384500\pi\) | ||||
0.354943 | + | 0.934888i | \(0.384500\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 6.00000 | − | 10.3923i | 0.528271 | − | 0.914991i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.50000 | + | 14.7224i | 0.742648 | + | 1.28630i | 0.951285 | + | 0.308312i | \(0.0997640\pi\) |
−0.208637 | + | 0.977993i | \(0.566903\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −12.5000 | − | 4.33013i | −1.08389 | − | 0.375470i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.50000 | − | 7.79423i | −0.387298 | − | 0.670820i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.50000 | + | 2.59808i | −0.128154 | + | 0.221969i | −0.922961 | − | 0.384893i | \(-0.874238\pi\) |
0.794808 | + | 0.606861i | \(0.207572\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.00000 | −0.339276 | −0.169638 | − | 0.985506i | \(-0.554260\pi\) | ||||
−0.169638 | + | 0.985506i | \(0.554260\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.00000 | 0.252646 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.00000 | + | 1.73205i | −0.0836242 | + | 0.144841i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.00000 | − | 5.19615i | −0.249136 | − | 0.431517i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −16.5000 | − | 12.9904i | −1.36090 | − | 1.07143i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.50000 | − | 12.9904i | −0.614424 | − | 1.06421i | −0.990485 | − | 0.137619i | \(-0.956055\pi\) |
0.376061 | − | 0.926595i | \(-0.377278\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.50000 | − | 12.9904i | 0.610341 | − | 1.05714i | −0.380841 | − | 0.924640i | \(-0.624366\pi\) |
0.991183 | − | 0.132502i | \(-0.0423010\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 18.0000 | 1.45521 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.00000 | −0.0803219 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.50000 | + | 12.9904i | −0.598565 | + | 1.03675i | 0.394468 | + | 0.918910i | \(0.370929\pi\) |
−0.993033 | + | 0.117836i | \(0.962404\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −13.5000 | − | 23.3827i | −1.07062 | − | 1.85437i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 7.50000 | + | 2.59808i | 0.591083 | + | 0.204757i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.50000 | + | 7.79423i | 0.352467 | + | 0.610491i | 0.986681 | − | 0.162667i | \(-0.0520095\pi\) |
−0.634214 | + | 0.773158i | \(0.718676\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.50000 | + | 2.59808i | −0.116775 | + | 0.202260i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 20.0000 | 1.54765 | 0.773823 | − | 0.633402i | \(-0.218342\pi\) | ||||
0.773823 | + | 0.633402i | \(0.218342\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.00000 | −0.692308 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 15.0000 | − | 25.9808i | 1.14708 | − | 1.98680i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 10.5000 | + | 18.1865i | 0.798300 | + | 1.38270i | 0.920722 | + | 0.390218i | \(0.127601\pi\) |
−0.122422 | + | 0.992478i | \(0.539066\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.00000 | + | 10.3923i | 0.151186 | + | 0.785584i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.50000 | − | 7.79423i | −0.338241 | − | 0.585850i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.500000 | + | 0.866025i | −0.0373718 | + | 0.0647298i | −0.884106 | − | 0.467286i | \(-0.845232\pi\) |
0.846735 | + | 0.532016i | \(0.178565\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 22.0000 | 1.63525 | 0.817624 | − | 0.575753i | \(-0.195291\pi\) | ||||
0.817624 | + | 0.575753i | \(0.195291\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.00000 | −0.665299 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.50000 | + | 4.33013i | −0.183804 | + | 0.318357i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.50000 | − | 2.59808i | −0.109691 | − | 0.189990i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 18.0000 | − | 15.5885i | 1.30931 | − | 1.13389i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 8.50000 | + | 14.7224i | 0.615038 | + | 1.06528i | 0.990378 | + | 0.138390i | \(0.0441928\pi\) |
−0.375339 | + | 0.926887i | \(0.622474\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.50000 | − | 4.33013i | 0.179954 | − | 0.311689i | −0.761911 | − | 0.647682i | \(-0.775738\pi\) |
0.941865 | + | 0.335993i | \(0.109072\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 6.00000 | 0.429669 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.0000 | 1.28245 | 0.641223 | − | 0.767354i | \(-0.278427\pi\) | ||||
0.641223 | + | 0.767354i | \(0.278427\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.50000 | + | 7.79423i | −0.318997 | + | 0.552518i | −0.980279 | − | 0.197619i | \(-0.936679\pi\) |
0.661282 | + | 0.750137i | \(0.270013\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −16.5000 | − | 28.5788i | −1.16382 | − | 2.01580i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 12.0000 | − | 10.3923i | 0.842235 | − | 0.729397i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.00000 | − | 8.66025i | −0.349215 | − | 0.604858i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −9.00000 | + | 15.5885i | −0.625543 | + | 1.08347i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −5.00000 | −0.345857 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −12.0000 | −0.826114 | −0.413057 | − | 0.910705i | \(-0.635539\pi\) | ||||
−0.413057 | + | 0.910705i | \(0.635539\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −24.0000 | + | 41.5692i | −1.64445 | + | 2.84828i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 2.00000 | + | 3.46410i | 0.136399 | + | 0.236250i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.500000 | − | 2.59808i | −0.0339422 | − | 0.176369i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 10.5000 | + | 18.1865i | 0.709524 | + | 1.22893i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.00000 | + | 5.19615i | −0.201802 | + | 0.349531i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −24.0000 | −1.60716 | −0.803579 | − | 0.595198i | \(-0.797074\pi\) | ||||
−0.803579 | + | 0.595198i | \(0.797074\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −24.0000 | −1.60000 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.50000 | − | 6.06218i | 0.232303 | − | 0.402361i | −0.726182 | − | 0.687502i | \(-0.758707\pi\) |
0.958485 | + | 0.285141i | \(0.0920405\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.50000 | − | 6.06218i | −0.231287 | − | 0.400600i | 0.726900 | − | 0.686743i | \(-0.240960\pi\) |
−0.958187 | + | 0.286143i | \(0.907627\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −7.50000 | − | 2.59808i | −0.493464 | − | 0.170941i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 6.50000 | + | 11.2583i | 0.425829 | + | 0.737558i | 0.996497 | − | 0.0836229i | \(-0.0266491\pi\) |
−0.570668 | + | 0.821181i | \(0.693316\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.500000 | + | 0.866025i | −0.0326164 | + | 0.0564933i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −33.0000 | −2.14358 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.00000 | 0.258738 | 0.129369 | − | 0.991596i | \(-0.458705\pi\) | ||||
0.129369 | + | 0.991596i | \(0.458705\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.50000 | − | 14.7224i | 0.547533 | − | 0.948355i | −0.450910 | − | 0.892570i | \(-0.648900\pi\) |
0.998443 | − | 0.0557856i | \(-0.0177663\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 6.50000 | − | 2.59808i | 0.415270 | − | 0.165985i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.00000 | + | 8.66025i | 0.318142 | + | 0.551039i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.00000 | − | 10.3923i | 0.380235 | − | 0.658586i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −24.0000 | −1.51487 | −0.757433 | − | 0.652913i | \(-0.773547\pi\) | ||||
−0.757433 | + | 0.652913i | \(0.773547\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.00000 | 0.188608 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −4.50000 | + | 7.79423i | −0.281801 | + | 0.488094i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.50000 | + | 11.2583i | 0.405459 | + | 0.702275i | 0.994375 | − | 0.105919i | \(-0.0337784\pi\) |
−0.588916 | + | 0.808194i | \(0.700445\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −12.5000 | − | 4.33013i | −0.776712 | − | 0.269061i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 18.0000 | + | 31.1769i | 1.11417 | + | 1.92980i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 1.50000 | − | 2.59808i | 0.0924940 | − | 0.160204i | −0.816066 | − | 0.577959i | \(-0.803849\pi\) |
0.908560 | + | 0.417755i | \(0.137183\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.00000 | 0.552866 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 27.0000 | 1.65237 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 8.50000 | − | 14.7224i | 0.518254 | − | 0.897643i | −0.481521 | − | 0.876435i | \(-0.659915\pi\) |
0.999775 | − | 0.0212079i | \(-0.00675120\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.50000 | − | 2.59808i | −0.0911185 | − | 0.157822i | 0.816864 | − | 0.576831i | \(-0.195711\pi\) |
−0.907982 | + | 0.419009i | \(0.862378\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 3.00000 | + | 15.5885i | 0.181568 | + | 0.943456i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.00000 | + | 3.46410i | 0.120605 | + | 0.208893i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.50000 | + | 6.06218i | −0.210295 | + | 0.364241i | −0.951807 | − | 0.306699i | \(-0.900776\pi\) |
0.741512 | + | 0.670940i | \(0.234109\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.00000 | 0.359211 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −18.0000 | −1.07379 | −0.536895 | − | 0.843649i | \(-0.680403\pi\) | ||||
−0.536895 | + | 0.843649i | \(0.680403\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.50000 | + | 14.7224i | −0.505273 | + | 0.875158i | 0.494709 | + | 0.869059i | \(0.335275\pi\) |
−0.999981 | + | 0.00609896i | \(0.998059\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 7.50000 | + | 12.9904i | 0.444262 | + | 0.769484i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 20.0000 | − | 17.3205i | 1.18056 | − | 1.02240i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.00000 | + | 6.92820i | 0.235294 | + | 0.407541i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 9.00000 | − | 15.5885i | 0.527589 | − | 0.913812i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 6.00000 | 0.350524 | 0.175262 | − | 0.984522i | \(-0.443923\pi\) | ||||
0.175262 | + | 0.984522i | \(0.443923\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.00000 | 0.174667 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.50000 | − | 7.79423i | 0.261116 | − | 0.452267i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.00000 | − | 5.19615i | −0.173494 | − | 0.300501i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.00000 | + | 6.92820i | −0.461112 | + | 0.399335i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −19.5000 | − | 33.7750i | −1.12025 | − | 1.94032i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.50000 | − | 2.59808i | 0.0858898 | − | 0.148765i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.00000 | −0.228292 | −0.114146 | − | 0.993464i | \(-0.536413\pi\) | ||||
−0.114146 | + | 0.993464i | \(0.536413\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 15.0000 | 0.853320 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.50000 | − | 9.52628i | 0.311876 | − | 0.540186i | −0.666892 | − | 0.745154i | \(-0.732376\pi\) |
0.978769 | + | 0.204968i | \(0.0657092\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −15.5000 | − | 26.8468i | −0.876112 | − | 1.51747i | −0.855574 | − | 0.517681i | \(-0.826795\pi\) |
−0.0205381 | − | 0.999789i | \(-0.506538\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.00000 | + | 15.5885i | 0.169031 | + | 0.878310i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −13.5000 | − | 23.3827i | −0.758236 | − | 1.31330i | −0.943750 | − | 0.330661i | \(-0.892728\pi\) |
0.185514 | − | 0.982642i | \(-0.440605\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.00000 | − | 5.19615i | 0.167968 | − | 0.290929i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −9.00000 | −0.502331 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −15.0000 | −0.834622 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.00000 | − | 6.92820i | 0.221880 | − | 0.384308i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 16.5000 | + | 28.5788i | 0.912452 | + | 1.58041i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.50000 | − | 0.866025i | −0.137829 | − | 0.0477455i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.50000 | − | 6.06218i | −0.192377 | − | 0.333207i | 0.753660 | − | 0.657264i | \(-0.228286\pi\) |
−0.946038 | + | 0.324057i | \(0.894953\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 15.0000 | − | 25.9808i | 0.821995 | − | 1.42374i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 11.0000 | 0.600994 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.0000 | 0.762629 | 0.381314 | − | 0.924445i | \(-0.375472\pi\) | ||||
0.381314 | + | 0.924445i | \(0.375472\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −15.0000 | + | 25.9808i | −0.814688 | + | 1.41108i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.500000 | − | 0.866025i | −0.0270765 | − | 0.0468979i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | + | 15.5885i | 0.539949 | + | 0.841698i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −4.50000 | − | 7.79423i | −0.242272 | − | 0.419627i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.50000 | − | 2.59808i | 0.0805242 | − | 0.139472i | −0.822951 | − | 0.568112i | \(-0.807674\pi\) |
0.903475 | + | 0.428640i | \(0.141007\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.00000 | −0.321173 | −0.160586 | − | 0.987022i | \(-0.551338\pi\) | ||||
−0.160586 | + | 0.987022i | \(0.551338\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −18.0000 | −0.960769 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 2.50000 | − | 4.33013i | 0.133062 | − | 0.230469i | −0.791794 | − | 0.610789i | \(-0.790853\pi\) |
0.924855 | + | 0.380319i | \(0.124186\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.00000 | − | 13.8564i | −0.424596 | − | 0.735422i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −22.5000 | − | 7.79423i | −1.19083 | − | 0.412514i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −7.50000 | − | 12.9904i | −0.395835 | − | 0.685606i | 0.597372 | − | 0.801964i | \(-0.296211\pi\) |
−0.993207 | + | 0.116358i | \(0.962878\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.00000 | + | 5.19615i | −0.157895 | + | 0.273482i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 30.0000 | 1.57459 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.00000 | −0.366397 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.50000 | − | 16.4545i | 0.495896 | − | 0.858917i | −0.504093 | − | 0.863649i | \(-0.668173\pi\) |
0.999989 | + | 0.00473247i | \(0.00150640\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 30.0000 | + | 51.9615i | 1.56174 | + | 2.70501i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.50000 | + | 23.3827i | 0.233628 | + | 1.21397i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −9.50000 | − | 16.4545i | −0.491891 | − | 0.851981i | 0.508065 | − | 0.861319i | \(-0.330361\pi\) |
−0.999956 | + | 0.00933789i | \(0.997028\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 13.5000 | − | 23.3827i | 0.697137 | − | 1.20748i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −12.0000 | −0.618031 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 16.0000 | 0.821865 | 0.410932 | − | 0.911666i | \(-0.365203\pi\) | ||||
0.410932 | + | 0.911666i | \(0.365203\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 12.0000 | − | 20.7846i | 0.614779 | − | 1.06483i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 4.50000 | + | 7.79423i | 0.229939 | + | 0.398266i | 0.957790 | − | 0.287469i | \(-0.0928139\pi\) |
−0.727851 | + | 0.685736i | \(0.759481\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.00000 | − | 1.73205i | 0.101929 | − | 0.0882735i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −12.0000 | − | 20.7846i | −0.609994 | − | 1.05654i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −9.50000 | + | 16.4545i | −0.481669 | + | 0.834275i | −0.999779 | − | 0.0210389i | \(-0.993303\pi\) |
0.518110 | + | 0.855314i | \(0.326636\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.00000 | 0.455150 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 51.0000 | 2.57261 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.50000 | − | 9.52628i | 0.276735 | − | 0.479319i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.50000 | + | 14.7224i | 0.426603 | + | 0.738898i | 0.996569 | − | 0.0827707i | \(-0.0263769\pi\) |
−0.569966 | + | 0.821668i | \(0.693044\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −30.0000 | + | 25.9808i | −1.50188 | + | 1.30066i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1.50000 | − | 2.59808i | −0.0749064 | − | 0.129742i | 0.826139 | − | 0.563466i | \(-0.190532\pi\) |
−0.901046 | + | 0.433724i | \(0.857199\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.00000 | + | 1.73205i | −0.0498135 | + | 0.0862796i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −9.00000 | −0.447214 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −5.00000 | −0.247841 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.50000 | + | 16.4545i | −0.469745 | + | 0.813622i | −0.999402 | − | 0.0345902i | \(-0.988987\pi\) |
0.529657 | + | 0.848212i | \(0.322321\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.50000 | + | 7.79423i | 0.221969 | + | 0.384461i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.50000 | + | 7.79423i | 0.0738102 | + | 0.383529i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.00000 | + | 3.46410i | 0.0981761 | + | 0.170046i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −6.00000 | + | 10.3923i | −0.293821 | + | 0.508913i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −20.0000 | −0.977064 | −0.488532 | − | 0.872546i | \(-0.662467\pi\) | ||||
−0.488532 | + | 0.872546i | \(0.662467\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.0000 | 0.487370 | 0.243685 | − | 0.969854i | \(-0.421644\pi\) | ||||
0.243685 | + | 0.969854i | \(0.421644\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.00000 | − | 5.19615i | 0.145865 | − | 0.252646i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.00000 | + | 10.3923i | 0.291043 | + | 0.504101i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.50000 | + | 2.59808i | 0.362950 | + | 0.125730i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 3.00000 | + | 5.19615i | 0.144841 | + | 0.250873i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −20.5000 | + | 35.5070i | −0.987450 | + | 1.71031i | −0.356953 | + | 0.934122i | \(0.616185\pi\) |
−0.630497 | + | 0.776192i | \(0.717149\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −26.0000 | −1.24948 | −0.624740 | − | 0.780833i | \(-0.714795\pi\) | ||||
−0.624740 | + | 0.780833i | \(0.714795\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −18.0000 | −0.863034 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 7.50000 | − | 12.9904i | 0.358774 | − | 0.621414i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.50000 | − | 12.9904i | −0.357955 | − | 0.619997i | 0.629664 | − | 0.776868i | \(-0.283193\pi\) |
−0.987619 | + | 0.156871i | \(0.949859\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −39.0000 | + | 15.5885i | −1.85714 | + | 0.742307i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −13.5000 | − | 23.3827i | −0.641404 | − | 1.11094i | −0.985119 | − | 0.171871i | \(-0.945019\pi\) |
0.343715 | − | 0.939074i | \(-0.388315\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.50000 | + | 7.79423i | −0.213320 | + | 0.369482i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −45.0000 | −2.12843 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2.00000 | −0.0943858 | −0.0471929 | − | 0.998886i | \(-0.515028\pi\) | ||||
−0.0471929 | + | 0.998886i | \(0.515028\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.00000 | − | 8.66025i | 0.235441 | − | 0.407795i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −22.5000 | − | 38.9711i | −1.05714 | − | 1.83102i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.00000 | − | 1.73205i | −0.234404 | − | 0.0811998i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.50000 | + | 14.7224i | 0.397613 | + | 0.688686i | 0.993431 | − | 0.114433i | \(-0.0365053\pi\) |
−0.595818 | + | 0.803120i | \(0.703172\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 13.5000 | − | 23.3827i | 0.630126 | − | 1.09141i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6.00000 | −0.279448 | −0.139724 | − | 0.990190i | \(-0.544622\pi\) | ||||
−0.139724 | + | 0.990190i | \(0.544622\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.0000 | 0.743583 | 0.371792 | − | 0.928316i | \(-0.378744\pi\) | ||||
0.371792 | + | 0.928316i | \(0.378744\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.50000 | + | 2.59808i | −0.0695608 | + | 0.120483i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 12.5000 | + | 21.6506i | 0.578431 | + | 1.00187i | 0.995660 | + | 0.0930703i | \(0.0296681\pi\) |
−0.417229 | + | 0.908802i | \(0.636999\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.50000 | + | 28.5788i | 0.253966 | + | 1.31965i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 22.5000 | + | 38.9711i | 1.03675 | + | 1.79570i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −2.00000 | + | 3.46410i | −0.0919601 | + | 0.159280i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 20.0000 | 0.917663 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −54.0000 | −2.47249 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.5000 | + | 18.1865i | −0.479757 | + | 0.830964i | −0.999730 | − | 0.0232187i | \(-0.992609\pi\) |
0.519973 | + | 0.854183i | \(0.325942\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.00000 | + | 8.66025i | 0.227980 | + | 0.394874i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 18.0000 | − | 15.5885i | 0.819028 | − | 0.709299i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 3.00000 | + | 5.19615i | 0.136223 | + | 0.235945i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.50000 | + | 11.2583i | −0.294543 | + | 0.510164i | −0.974879 | − | 0.222737i | \(-0.928501\pi\) |
0.680335 | + | 0.732901i | \(0.261834\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 27.0000 | 1.22098 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.00000 | − | 15.5885i | 0.405340 | − | 0.702069i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.00000 | + | 5.19615i | 0.134840 | + | 0.233550i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 32.0000 | − | 27.7128i | 1.43540 | − | 1.24309i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.50000 | − | 6.06218i | −0.156682 | − | 0.271380i | 0.776989 | − | 0.629515i | \(-0.216746\pi\) |
−0.933670 | + | 0.358134i | \(0.883413\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 30.0000 | − | 51.9615i | 1.34030 | − | 2.32147i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −16.0000 | −0.713405 | −0.356702 | − | 0.934218i | \(-0.616099\pi\) | ||||
−0.356702 | + | 0.934218i | \(0.616099\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13.0000 | 0.578492 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −13.5000 | + | 23.3827i | −0.599556 | + | 1.03846i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.50000 | − | 6.06218i | −0.155135 | − | 0.268701i | 0.777973 | − | 0.628297i | \(-0.216248\pi\) |
−0.933108 | + | 0.359596i | \(0.882915\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.50000 | − | 18.1865i | −0.154831 | − | 0.804525i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −22.5000 | − | 38.9711i | −0.993399 | − | 1.72062i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −2.50000 | + | 4.33013i | −0.110163 | + | 0.190808i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.00000 | −0.0439799 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 63.0000 | 2.76539 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.50000 | + | 12.9904i | −0.328581 | + | 0.569119i | −0.982231 | − | 0.187678i | \(-0.939904\pi\) |
0.653650 | + | 0.756797i | \(0.273237\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.50000 | + | 11.2583i | 0.284225 | + | 0.492292i | 0.972421 | − | 0.233233i | \(-0.0749303\pi\) |
−0.688196 | + | 0.725525i | \(0.741597\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 30.0000 | + | 10.3923i | 1.30931 | + | 0.453557i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.50000 | − | 2.59808i | −0.0653410 | − | 0.113174i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.00000 | − | 12.1244i | 0.304348 | − | 0.527146i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −18.0000 | −0.781133 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −20.0000 | −0.866296 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.50000 | − | 2.59808i | 0.0648507 | − | 0.112325i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.50000 | + | 2.59808i | 0.0647298 | + | 0.112115i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.50000 | + | 4.33013i | 0.236902 | + | 0.186512i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.5000 | + | 21.6506i | 0.537417 | + | 0.930834i | 0.999042 | + | 0.0437584i | \(0.0139332\pi\) |
−0.461625 | + | 0.887075i | \(0.652733\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 33.0000 | − | 57.1577i | 1.41617 | − | 2.45287i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −11.0000 | −0.471188 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −9.00000 | + | 15.5885i | −0.384111 | + | 0.665299i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −15.0000 | − | 25.9808i | −0.639021 | − | 1.10682i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 27.5000 | + | 9.52628i | 1.16942 | + | 0.405099i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 7.50000 | + | 12.9904i | 0.318357 | + | 0.551411i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −5.50000 | + | 9.52628i | −0.233042 | + | 0.403641i | −0.958702 | − | 0.284413i | \(-0.908201\pi\) |
0.725660 | + | 0.688054i | \(0.241535\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 8.00000 | 0.338364 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.00000 | −0.379980 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 5.50000 | − | 9.52628i | 0.231797 | − | 0.401485i | −0.726540 | − | 0.687124i | \(-0.758873\pi\) |
0.958337 | + | 0.285640i | \(0.0922060\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.00000 | − | 8.66025i | −0.210352 | − | 0.364340i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −4.50000 | − | 23.3827i | −0.188982 | − | 0.981981i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 0.500000 | + | 0.866025i | 0.0209611 | + | 0.0363057i | 0.876316 | − | 0.481737i | \(-0.159994\pi\) |
−0.855355 | + | 0.518043i | \(0.826661\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.50000 | + | 14.7224i | −0.355714 | + | 0.616115i | −0.987240 | − | 0.159240i | \(-0.949096\pi\) |
0.631526 | + | 0.775355i | \(0.282429\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 51.0000 | 2.13056 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −12.0000 | −0.500435 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −15.5000 | + | 26.8468i | −0.645273 | + | 1.11765i | 0.338965 | + | 0.940799i | \(0.389923\pi\) |
−0.984238 | + | 0.176847i | \(0.943410\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −7.50000 | − | 12.9904i | −0.311689 | − | 0.539862i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −8.00000 | + | 6.92820i | −0.331896 | + | 0.287430i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.50000 | + | 7.79423i | 0.186371 | + | 0.322804i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 6.00000 | − | 10.3923i | 0.248069 | − | 0.429669i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −12.0000 | −0.495293 | −0.247647 | − | 0.968850i | \(-0.579657\pi\) | ||||
−0.247647 | + | 0.968850i | \(0.579657\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.00000 | −0.206021 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 27.0000 | − | 46.7654i | 1.11063 | − | 1.92367i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −21.5000 | − | 37.2391i | −0.882899 | − | 1.52923i | −0.848103 | − | 0.529832i | \(-0.822255\pi\) |
−0.0347964 | − | 0.999394i | \(-0.511078\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.00000 | − | 5.19615i | 0.245976 | − | 0.213021i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 13.5000 | + | 23.3827i | 0.552518 | + | 0.956990i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −10.5000 | + | 18.1865i | −0.429018 | + | 0.743082i | −0.996786 | − | 0.0801071i | \(-0.974474\pi\) |
0.567768 | + | 0.823189i | \(0.307807\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −34.0000 | −1.38689 | −0.693444 | − | 0.720510i | \(-0.743908\pi\) | ||||
−0.693444 | + | 0.720510i | \(0.743908\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −66.0000 | −2.68773 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.00000 | + | 8.66025i | −0.203279 | + | 0.352089i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.50000 | − | 6.06218i | −0.142061 | − | 0.246056i | 0.786212 | − | 0.617957i | \(-0.212039\pi\) |
−0.928272 | + | 0.371901i | \(0.878706\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −9.00000 | − | 46.7654i | −0.364698 | − | 1.89503i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.00000 | + | 1.73205i | 0.0404557 | + | 0.0700713i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.5000 | − | 18.1865i | 0.424091 | − | 0.734547i | −0.572244 | − | 0.820083i | \(-0.693927\pi\) |
0.996335 | + | 0.0855362i | \(0.0272603\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −30.0000 | −1.20972 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 22.0000 | 0.885687 | 0.442843 | − | 0.896599i | \(-0.353970\pi\) | ||||
0.442843 | + | 0.896599i | \(0.353970\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.50000 | + | 4.33013i | −0.100483 | + | 0.174042i | −0.911884 | − | 0.410448i | \(-0.865372\pi\) |
0.811400 | + | 0.584491i | \(0.198706\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 13.5000 | + | 23.3827i | 0.541736 | + | 0.938315i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −22.5000 | − | 7.79423i | −0.901443 | − | 0.312269i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.50000 | − | 9.52628i | −0.220000 | − | 0.381051i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −7.50000 | + | 12.9904i | −0.299521 | + | 0.518786i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −15.0000 | −0.598089 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −18.0000 | + | 31.1769i | −0.715436 | + | 1.23917i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 4.00000 | + | 6.92820i | 0.158735 | + | 0.274937i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.00000 | − | 13.8564i | 0.0792429 | − | 0.549011i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 48.0000 | + | 83.1384i | 1.89885 | + | 3.28891i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −7.50000 | + | 12.9904i | −0.296232 | + | 0.513089i | −0.975271 | − | 0.221013i | \(-0.929064\pi\) |
0.679039 | + | 0.734103i | \(0.262397\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 44.0000 | 1.73519 | 0.867595 | − | 0.497271i | \(-0.165665\pi\) | ||||
0.867595 | + | 0.497271i | \(0.165665\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 12.0000 | 0.472500 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 21.5000 | − | 37.2391i | 0.845252 | − | 1.46402i | −0.0401498 | − | 0.999194i | \(-0.512784\pi\) |
0.885402 | − | 0.464826i | \(-0.153883\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.50000 | + | 2.59808i | 0.0588802 | + | 0.101983i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −7.50000 | − | 2.59808i | −0.293948 | − | 0.101827i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.50000 | + | 4.33013i | 0.0978326 | + | 0.169451i | 0.910787 | − | 0.412876i | \(-0.135476\pi\) |
−0.812955 | + | 0.582327i | \(0.802142\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −8.50000 | + | 14.7224i | −0.332122 | + | 0.575253i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 42.0000 | 1.63858 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 36.0000 | 1.40236 | 0.701180 | − | 0.712984i | \(-0.252657\pi\) | ||||
0.701180 | + | 0.712984i | \(0.252657\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.500000 | − | 0.866025i | 0.0194477 | − | 0.0336845i | −0.856138 | − | 0.516748i | \(-0.827143\pi\) |
0.875585 | + | 0.483063i | \(0.160476\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 9.00000 | + | 15.5885i | 0.349531 | + | 0.605406i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2.50000 | − | 12.9904i | −0.0969458 | − | 0.503745i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.00000 | + | 15.5885i | 0.348481 | + | 0.603587i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −36.0000 | + | 62.3538i | −1.39184 | + | 2.41074i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.00000 | 0.115814 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.00000 | −0.0770943 | −0.0385472 | − | 0.999257i | \(-0.512273\pi\) | ||||
−0.0385472 | + | 0.999257i | \(0.512273\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −18.0000 | + | 31.1769i | −0.692820 | + | 1.20000i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 4.50000 | + | 7.79423i | 0.172949 | + | 0.299557i | 0.939450 | − | 0.342687i | \(-0.111337\pi\) |
−0.766501 | + | 0.642244i | \(0.778004\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −12.0000 | + | 10.3923i | −0.460518 | + | 0.398820i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −10.5000 | − | 18.1865i | −0.402361 | − | 0.696909i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 19.5000 | − | 33.7750i | 0.746147 | − | 1.29236i | −0.203510 | − | 0.979073i | \(-0.565235\pi\) |
0.949657 | − | 0.313291i | \(-0.101432\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.00000 | −0.114624 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −21.0000 | −0.801200 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 9.00000 | − | 15.5885i | 0.342873 | − | 0.593873i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −23.5000 | − | 40.7032i | −0.893982 | − | 1.54842i | −0.835059 | − | 0.550160i | \(-0.814567\pi\) |
−0.0589228 | − | 0.998263i | \(-0.518767\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −12.0000 | + | 10.3923i | −0.455842 | + | 0.394771i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.00000 | − | 3.46410i | −0.0758643 | − | 0.131401i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 15.0000 | − | 25.9808i | 0.568166 | − | 0.984092i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 39.0000 | 1.47512 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −18.0000 | −0.679851 | −0.339925 | − | 0.940452i | \(-0.610402\pi\) | ||||
−0.339925 | + | 0.940452i | \(0.610402\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −12.5000 | + | 21.6506i | −0.471446 | + | 0.816569i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.50000 | + | 2.59808i | 0.0564933 | + | 0.0978492i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 6.50000 | + | 33.7750i | 0.244458 | + | 1.27024i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.5000 | − | 23.3827i | −0.507003 | − | 0.878155i | −0.999967 | − | 0.00810550i | \(-0.997420\pi\) |
0.492964 | − | 0.870050i | \(-0.335913\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −33.0000 | + | 57.1577i | −1.23760 | + | 2.14358i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.00000 | 0.112351 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.00000 | −0.0747958 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 6.00000 | − | 10.3923i | 0.224074 | − | 0.388108i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 14.5000 | + | 25.1147i | 0.540759 | + | 0.936622i | 0.998861 | + | 0.0477220i | \(0.0151961\pi\) |
−0.458102 | + | 0.888900i | \(0.651471\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −12.5000 | − | 4.33013i | −0.465524 | − | 0.161262i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −25.5000 | − | 44.1673i | −0.948355 | − | 1.64260i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −12.0000 | + | 20.7846i | −0.445669 | + | 0.771921i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.0000 | −0.593407 | −0.296704 | − | 0.954970i | \(-0.595887\pi\) | ||||
−0.296704 | + | 0.954970i | \(0.595887\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −6.00000 | + | 10.3923i | −0.221918 | + | 0.384373i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.50000 | − | 9.52628i | −0.203147 | − | 0.351861i | 0.746394 | − | 0.665505i | \(-0.231784\pi\) |
−0.949541 | + | 0.313644i | \(0.898450\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 3.00000 | − | 20.7846i | 0.110657 | − | 0.766652i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.50000 | + | 9.52628i | 0.202595 | + | 0.350905i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.5000 | + | 35.5070i | −0.754105 | + | 1.30615i | 0.191714 | + | 0.981451i | \(0.438596\pi\) |
−0.945818 | + | 0.324697i | \(0.894738\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 30.0000 | 1.10208 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −32.0000 | −1.17397 | −0.586983 | − | 0.809599i | \(-0.699684\pi\) | ||||
−0.586983 | + | 0.809599i | \(0.699684\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.50000 | − | 12.9904i | 0.274779 | − | 0.475931i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −12.0000 | − | 20.7846i | −0.439057 | − | 0.760469i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 7.50000 | + | 2.59808i | 0.274044 | + | 0.0949316i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −23.5000 | − | 40.7032i | −0.857527 | − | 1.48528i | −0.874281 | − | 0.485421i | \(-0.838666\pi\) |
0.0167534 | − | 0.999860i | \(-0.494667\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −36.0000 | + | 62.3538i | −1.31191 | + | 2.27230i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 15.0000 | 0.545906 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 34.0000 | 1.23575 | 0.617876 | − | 0.786276i | \(-0.287994\pi\) | ||||
0.617876 | + | 0.786276i | \(0.287994\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 4.50000 | − | 7.79423i | 0.163340 | − | 0.282913i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −13.5000 | − | 23.3827i | −0.489375 | − | 0.847622i | 0.510551 | − | 0.859848i | \(-0.329442\pi\) |
−0.999925 | + | 0.0122260i | \(0.996108\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.50000 | − | 28.5788i | −0.199113 | − | 1.03462i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 9.00000 | + | 15.5885i | 0.325396 | + | 0.563602i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 3.00000 | − | 5.19615i | 0.108324 | − | 0.187622i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 14.0000 | 0.504853 | 0.252426 | − | 0.967616i | \(-0.418771\pi\) | ||||
0.252426 | + | 0.967616i | \(0.418771\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 39.0000 | 1.40455 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −17.5000 | + | 30.3109i | −0.629431 | + | 1.09021i | 0.358235 | + | 0.933632i | \(0.383379\pi\) |
−0.987666 | + | 0.156575i | \(0.949955\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.00000 | + | 3.46410i | 0.0718421 | + | 0.124434i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −30.0000 | + | 25.9808i | −1.07624 | + | 0.932055i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −25.0000 | − | 43.3013i | −0.895718 | − | 1.55143i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.00000 | − | 13.8564i | 0.286263 | − | 0.495821i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 54.0000 | 1.92980 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −15.0000 | −0.535373 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.50000 | + | 11.2583i | −0.231700 | + | 0.401316i | −0.958308 | − | 0.285736i | \(-0.907762\pi\) |
0.726609 | + | 0.687052i | \(0.241095\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −4.50000 | − | 7.79423i | −0.160204 | − | 0.277482i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 20.0000 | − | 17.3205i | 0.711118 | − | 0.615846i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.00000 | − | 5.19615i | −0.106533 | − | 0.184521i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 13.5000 | − | 23.3827i | 0.478796 | − | 0.829298i | ||||
\(796\) | 0 | 0 |