Newspace parameters
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.e (of order \(6\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(0.590892974957\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
Defining polynomial: |
\( x^{4} - x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 74.11 |
Dual form | 74.2.e.a.27.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0.366025 | − | 0.633975i | 0.211325 | − | 0.366025i | −0.740805 | − | 0.671721i | \(-0.765556\pi\) |
0.952129 | + | 0.305695i | \(0.0988889\pi\) | |||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −1.50000 | − | 0.866025i | −0.670820 | − | 0.387298i | 0.125567 | − | 0.992085i | \(-0.459925\pi\) |
−0.796387 | + | 0.604787i | \(0.793258\pi\) | |||||||
\(6\) | − | 0.732051i | − | 0.298858i | ||||||
\(7\) | −2.00000 | + | 3.46410i | −0.755929 | + | 1.30931i | 0.188982 | + | 0.981981i | \(0.439481\pi\) |
−0.944911 | + | 0.327327i | \(0.893852\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 1.23205 | + | 2.13397i | 0.410684 | + | 0.711325i | ||||
\(10\) | −1.73205 | −0.547723 | ||||||||
\(11\) | 4.73205 | 1.42677 | 0.713384 | − | 0.700774i | \(-0.247162\pi\) | ||||
0.713384 | + | 0.700774i | \(0.247162\pi\) | |||||||
\(12\) | −0.366025 | − | 0.633975i | −0.105662 | − | 0.183013i | ||||
\(13\) | −5.19615 | − | 3.00000i | −1.44115 | − | 0.832050i | −0.443227 | − | 0.896410i | \(-0.646166\pi\) |
−0.997927 | + | 0.0643593i | \(0.979500\pi\) | |||||||
\(14\) | 4.00000i | 1.06904i | ||||||||
\(15\) | −1.09808 | + | 0.633975i | −0.283522 | + | 0.163692i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.50000 | + | 0.866025i | −0.363803 | + | 0.210042i | −0.670748 | − | 0.741685i | \(-0.734027\pi\) |
0.306944 | + | 0.951727i | \(0.400693\pi\) | |||||||
\(18\) | 2.13397 | + | 1.23205i | 0.502983 | + | 0.290397i | ||||
\(19\) | −1.09808 | − | 0.633975i | −0.251916 | − | 0.145444i | 0.368725 | − | 0.929538i | \(-0.379794\pi\) |
−0.620641 | + | 0.784095i | \(0.713128\pi\) | |||||||
\(20\) | −1.50000 | + | 0.866025i | −0.335410 | + | 0.193649i | ||||
\(21\) | 1.46410 | + | 2.53590i | 0.319493 | + | 0.553378i | ||||
\(22\) | 4.09808 | − | 2.36603i | 0.873713 | − | 0.504438i | ||||
\(23\) | 1.26795i | 0.264386i | 0.991224 | + | 0.132193i | \(0.0422018\pi\) | ||||
−0.991224 | + | 0.132193i | \(0.957798\pi\) | |||||||
\(24\) | −0.633975 | − | 0.366025i | −0.129410 | − | 0.0747146i | ||||
\(25\) | −1.00000 | − | 1.73205i | −0.200000 | − | 0.346410i | ||||
\(26\) | −6.00000 | −1.17670 | ||||||||
\(27\) | 4.00000 | 0.769800 | ||||||||
\(28\) | 2.00000 | + | 3.46410i | 0.377964 | + | 0.654654i | ||||
\(29\) | − | 4.26795i | − | 0.792538i | −0.918134 | − | 0.396269i | \(-0.870305\pi\) | ||
0.918134 | − | 0.396269i | \(-0.129695\pi\) | |||||||
\(30\) | −0.633975 | + | 1.09808i | −0.115747 | + | 0.200480i | ||||
\(31\) | − | 1.26795i | − | 0.227730i | −0.993496 | − | 0.113865i | \(-0.963677\pi\) | ||
0.993496 | − | 0.113865i | \(-0.0363232\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 1.73205 | − | 3.00000i | 0.301511 | − | 0.522233i | ||||
\(34\) | −0.866025 | + | 1.50000i | −0.148522 | + | 0.257248i | ||||
\(35\) | 6.00000 | − | 3.46410i | 1.01419 | − | 0.585540i | ||||
\(36\) | 2.46410 | 0.410684 | ||||||||
\(37\) | −0.500000 | − | 6.06218i | −0.0821995 | − | 0.996616i | ||||
\(38\) | −1.26795 | −0.205689 | ||||||||
\(39\) | −3.80385 | + | 2.19615i | −0.609103 | + | 0.351666i | ||||
\(40\) | −0.866025 | + | 1.50000i | −0.136931 | + | 0.237171i | ||||
\(41\) | −0.232051 | + | 0.401924i | −0.0362402 | + | 0.0627700i | −0.883577 | − | 0.468287i | \(-0.844871\pi\) |
0.847336 | + | 0.531057i | \(0.178205\pi\) | |||||||
\(42\) | 2.53590 | + | 1.46410i | 0.391298 | + | 0.225916i | ||||
\(43\) | 9.46410i | 1.44326i | 0.692278 | + | 0.721631i | \(0.256607\pi\) | ||||
−0.692278 | + | 0.721631i | \(0.743393\pi\) | |||||||
\(44\) | 2.36603 | − | 4.09808i | 0.356692 | − | 0.617808i | ||||
\(45\) | − | 4.26795i | − | 0.636228i | ||||||
\(46\) | 0.633975 | + | 1.09808i | 0.0934745 | + | 0.161903i | ||||
\(47\) | 11.6603 | 1.70082 | 0.850411 | − | 0.526118i | \(-0.176353\pi\) | ||||
0.850411 | + | 0.526118i | \(0.176353\pi\) | |||||||
\(48\) | −0.732051 | −0.105662 | ||||||||
\(49\) | −4.50000 | − | 7.79423i | −0.642857 | − | 1.11346i | ||||
\(50\) | −1.73205 | − | 1.00000i | −0.244949 | − | 0.141421i | ||||
\(51\) | 1.26795i | 0.177548i | ||||||||
\(52\) | −5.19615 | + | 3.00000i | −0.720577 | + | 0.416025i | ||||
\(53\) | 1.26795 | + | 2.19615i | 0.174166 | + | 0.301665i | 0.939872 | − | 0.341526i | \(-0.110944\pi\) |
−0.765706 | + | 0.643191i | \(0.777610\pi\) | |||||||
\(54\) | 3.46410 | − | 2.00000i | 0.471405 | − | 0.272166i | ||||
\(55\) | −7.09808 | − | 4.09808i | −0.957104 | − | 0.552584i | ||||
\(56\) | 3.46410 | + | 2.00000i | 0.462910 | + | 0.267261i | ||||
\(57\) | −0.803848 | + | 0.464102i | −0.106472 | + | 0.0614718i | ||||
\(58\) | −2.13397 | − | 3.69615i | −0.280205 | − | 0.485329i | ||||
\(59\) | −2.19615 | + | 1.26795i | −0.285915 | + | 0.165073i | −0.636098 | − | 0.771608i | \(-0.719453\pi\) |
0.350183 | + | 0.936681i | \(0.386119\pi\) | |||||||
\(60\) | 1.26795i | 0.163692i | ||||||||
\(61\) | 12.6962 | + | 7.33013i | 1.62558 | + | 0.938527i | 0.985391 | + | 0.170305i | \(0.0544754\pi\) |
0.640184 | + | 0.768221i | \(0.278858\pi\) | |||||||
\(62\) | −0.633975 | − | 1.09808i | −0.0805149 | − | 0.139456i | ||||
\(63\) | −9.85641 | −1.24179 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 5.19615 | + | 9.00000i | 0.644503 | + | 1.11631i | ||||
\(66\) | − | 3.46410i | − | 0.426401i | ||||||
\(67\) | −3.09808 | + | 5.36603i | −0.378490 | + | 0.655564i | −0.990843 | − | 0.135020i | \(-0.956890\pi\) |
0.612353 | + | 0.790585i | \(0.290223\pi\) | |||||||
\(68\) | 1.73205i | 0.210042i | ||||||||
\(69\) | 0.803848 | + | 0.464102i | 0.0967719 | + | 0.0558713i | ||||
\(70\) | 3.46410 | − | 6.00000i | 0.414039 | − | 0.717137i | ||||
\(71\) | −1.26795 | + | 2.19615i | −0.150478 | + | 0.260635i | −0.931403 | − | 0.363989i | \(-0.881415\pi\) |
0.780925 | + | 0.624624i | \(0.214748\pi\) | |||||||
\(72\) | 2.13397 | − | 1.23205i | 0.251491 | − | 0.145199i | ||||
\(73\) | −12.3923 | −1.45041 | −0.725205 | − | 0.688533i | \(-0.758255\pi\) | ||||
−0.725205 | + | 0.688533i | \(0.758255\pi\) | |||||||
\(74\) | −3.46410 | − | 5.00000i | −0.402694 | − | 0.581238i | ||||
\(75\) | −1.46410 | −0.169060 | ||||||||
\(76\) | −1.09808 | + | 0.633975i | −0.125958 | + | 0.0727219i | ||||
\(77\) | −9.46410 | + | 16.3923i | −1.07853 | + | 1.86808i | ||||
\(78\) | −2.19615 | + | 3.80385i | −0.248665 | + | 0.430701i | ||||
\(79\) | −7.09808 | − | 4.09808i | −0.798596 | − | 0.461070i | 0.0443840 | − | 0.999015i | \(-0.485867\pi\) |
−0.842980 | + | 0.537945i | \(0.819201\pi\) | |||||||
\(80\) | 1.73205i | 0.193649i | ||||||||
\(81\) | −2.23205 | + | 3.86603i | −0.248006 | + | 0.429558i | ||||
\(82\) | 0.464102i | 0.0512514i | ||||||||
\(83\) | −5.83013 | − | 10.0981i | −0.639940 | − | 1.10841i | −0.985446 | − | 0.169991i | \(-0.945626\pi\) |
0.345506 | − | 0.938417i | \(-0.387707\pi\) | |||||||
\(84\) | 2.92820 | 0.319493 | ||||||||
\(85\) | 3.00000 | 0.325396 | ||||||||
\(86\) | 4.73205 | + | 8.19615i | 0.510270 | + | 0.883814i | ||||
\(87\) | −2.70577 | − | 1.56218i | −0.290089 | − | 0.167483i | ||||
\(88\) | − | 4.73205i | − | 0.504438i | ||||||
\(89\) | 4.50000 | − | 2.59808i | 0.476999 | − | 0.275396i | −0.242166 | − | 0.970235i | \(-0.577858\pi\) |
0.719165 | + | 0.694839i | \(0.244525\pi\) | |||||||
\(90\) | −2.13397 | − | 3.69615i | −0.224941 | − | 0.389609i | ||||
\(91\) | 20.7846 | − | 12.0000i | 2.17882 | − | 1.25794i | ||||
\(92\) | 1.09808 | + | 0.633975i | 0.114482 | + | 0.0660964i | ||||
\(93\) | −0.803848 | − | 0.464102i | −0.0833551 | − | 0.0481251i | ||||
\(94\) | 10.0981 | − | 5.83013i | 1.04154 | − | 0.601332i | ||||
\(95\) | 1.09808 | + | 1.90192i | 0.112660 | + | 0.195133i | ||||
\(96\) | −0.633975 | + | 0.366025i | −0.0647048 | + | 0.0373573i | ||||
\(97\) | 5.19615i | 0.527589i | 0.964579 | + | 0.263795i | \(0.0849741\pi\) | ||||
−0.964579 | + | 0.263795i | \(0.915026\pi\) | |||||||
\(98\) | −7.79423 | − | 4.50000i | −0.787336 | − | 0.454569i | ||||
\(99\) | 5.83013 | + | 10.0981i | 0.585950 | + | 1.01489i | ||||
\(100\) | −2.00000 | −0.200000 | ||||||||
\(101\) | −0.464102 | −0.0461798 | −0.0230899 | − | 0.999733i | \(-0.507350\pi\) | ||||
−0.0230899 | + | 0.999733i | \(0.507350\pi\) | |||||||
\(102\) | 0.633975 | + | 1.09808i | 0.0627728 | + | 0.108726i | ||||
\(103\) | 6.92820i | 0.682656i | 0.939944 | + | 0.341328i | \(0.110877\pi\) | ||||
−0.939944 | + | 0.341328i | \(0.889123\pi\) | |||||||
\(104\) | −3.00000 | + | 5.19615i | −0.294174 | + | 0.509525i | ||||
\(105\) | − | 5.07180i | − | 0.494957i | ||||||
\(106\) | 2.19615 | + | 1.26795i | 0.213309 | + | 0.123154i | ||||
\(107\) | 8.19615 | − | 14.1962i | 0.792352 | − | 1.37239i | −0.132155 | − | 0.991229i | \(-0.542190\pi\) |
0.924507 | − | 0.381165i | \(-0.124477\pi\) | |||||||
\(108\) | 2.00000 | − | 3.46410i | 0.192450 | − | 0.333333i | ||||
\(109\) | −6.69615 | + | 3.86603i | −0.641375 | + | 0.370298i | −0.785144 | − | 0.619313i | \(-0.787411\pi\) |
0.143769 | + | 0.989611i | \(0.454078\pi\) | |||||||
\(110\) | −8.19615 | −0.781472 | ||||||||
\(111\) | −4.02628 | − | 1.90192i | −0.382158 | − | 0.180523i | ||||
\(112\) | 4.00000 | 0.377964 | ||||||||
\(113\) | 17.1962 | − | 9.92820i | 1.61768 | − | 0.933967i | 0.630159 | − | 0.776466i | \(-0.282990\pi\) |
0.987519 | − | 0.157501i | \(-0.0503437\pi\) | |||||||
\(114\) | −0.464102 | + | 0.803848i | −0.0434671 | + | 0.0752872i | ||||
\(115\) | 1.09808 | − | 1.90192i | 0.102396 | − | 0.177355i | ||||
\(116\) | −3.69615 | − | 2.13397i | −0.343179 | − | 0.198135i | ||||
\(117\) | − | 14.7846i | − | 1.36684i | ||||||
\(118\) | −1.26795 | + | 2.19615i | −0.116724 | + | 0.202172i | ||||
\(119\) | − | 6.92820i | − | 0.635107i | ||||||
\(120\) | 0.633975 | + | 1.09808i | 0.0578737 | + | 0.100240i | ||||
\(121\) | 11.3923 | 1.03566 | ||||||||
\(122\) | 14.6603 | 1.32728 | ||||||||
\(123\) | 0.169873 | + | 0.294229i | 0.0153169 | + | 0.0265297i | ||||
\(124\) | −1.09808 | − | 0.633975i | −0.0986102 | − | 0.0569326i | ||||
\(125\) | 12.1244i | 1.08444i | ||||||||
\(126\) | −8.53590 | + | 4.92820i | −0.760438 | + | 0.439039i | ||||
\(127\) | 5.29423 | + | 9.16987i | 0.469787 | + | 0.813695i | 0.999403 | − | 0.0345426i | \(-0.0109974\pi\) |
−0.529616 | + | 0.848237i | \(0.677664\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 6.00000 | + | 3.46410i | 0.528271 | + | 0.304997i | ||||
\(130\) | 9.00000 | + | 5.19615i | 0.789352 | + | 0.455733i | ||||
\(131\) | −7.09808 | + | 4.09808i | −0.620162 | + | 0.358051i | −0.776932 | − | 0.629585i | \(-0.783225\pi\) |
0.156770 | + | 0.987635i | \(0.449892\pi\) | |||||||
\(132\) | −1.73205 | − | 3.00000i | −0.150756 | − | 0.261116i | ||||
\(133\) | 4.39230 | − | 2.53590i | 0.380861 | − | 0.219890i | ||||
\(134\) | 6.19615i | 0.535266i | ||||||||
\(135\) | −6.00000 | − | 3.46410i | −0.516398 | − | 0.298142i | ||||
\(136\) | 0.866025 | + | 1.50000i | 0.0742611 | + | 0.128624i | ||||
\(137\) | −13.3923 | −1.14418 | −0.572091 | − | 0.820190i | \(-0.693868\pi\) | ||||
−0.572091 | + | 0.820190i | \(0.693868\pi\) | |||||||
\(138\) | 0.928203 | 0.0790139 | ||||||||
\(139\) | −0.901924 | − | 1.56218i | −0.0765002 | − | 0.132502i | 0.825237 | − | 0.564786i | \(-0.191041\pi\) |
−0.901738 | + | 0.432284i | \(0.857708\pi\) | |||||||
\(140\) | − | 6.92820i | − | 0.585540i | ||||||
\(141\) | 4.26795 | − | 7.39230i | 0.359426 | − | 0.622544i | ||||
\(142\) | 2.53590i | 0.212808i | ||||||||
\(143\) | −24.5885 | − | 14.1962i | −2.05619 | − | 1.18714i | ||||
\(144\) | 1.23205 | − | 2.13397i | 0.102671 | − | 0.177831i | ||||
\(145\) | −3.69615 | + | 6.40192i | −0.306949 | + | 0.531651i | ||||
\(146\) | −10.7321 | + | 6.19615i | −0.888191 | + | 0.512797i | ||||
\(147\) | −6.58846 | −0.543407 | ||||||||
\(148\) | −5.50000 | − | 2.59808i | −0.452097 | − | 0.213561i | ||||
\(149\) | 3.92820 | 0.321811 | 0.160905 | − | 0.986970i | \(-0.448559\pi\) | ||||
0.160905 | + | 0.986970i | \(0.448559\pi\) | |||||||
\(150\) | −1.26795 | + | 0.732051i | −0.103528 | + | 0.0597717i | ||||
\(151\) | 0.901924 | − | 1.56218i | 0.0733975 | − | 0.127128i | −0.826991 | − | 0.562215i | \(-0.809949\pi\) |
0.900388 | + | 0.435087i | \(0.143282\pi\) | |||||||
\(152\) | −0.633975 | + | 1.09808i | −0.0514221 | + | 0.0890657i | ||||
\(153\) | −3.69615 | − | 2.13397i | −0.298816 | − | 0.172522i | ||||
\(154\) | 18.9282i | 1.52528i | ||||||||
\(155\) | −1.09808 | + | 1.90192i | −0.0881996 | + | 0.152766i | ||||
\(156\) | 4.39230i | 0.351666i | ||||||||
\(157\) | 4.69615 | + | 8.13397i | 0.374794 | + | 0.649162i | 0.990296 | − | 0.138973i | \(-0.0443802\pi\) |
−0.615502 | + | 0.788135i | \(0.711047\pi\) | |||||||
\(158\) | −8.19615 | −0.652051 | ||||||||
\(159\) | 1.85641 | 0.147223 | ||||||||
\(160\) | 0.866025 | + | 1.50000i | 0.0684653 | + | 0.118585i | ||||
\(161\) | −4.39230 | − | 2.53590i | −0.346162 | − | 0.199857i | ||||
\(162\) | 4.46410i | 0.350733i | ||||||||
\(163\) | −2.19615 | + | 1.26795i | −0.172016 | + | 0.0993134i | −0.583536 | − | 0.812087i | \(-0.698331\pi\) |
0.411520 | + | 0.911401i | \(0.364998\pi\) | |||||||
\(164\) | 0.232051 | + | 0.401924i | 0.0181201 | + | 0.0313850i | ||||
\(165\) | −5.19615 | + | 3.00000i | −0.404520 | + | 0.233550i | ||||
\(166\) | −10.0981 | − | 5.83013i | −0.783763 | − | 0.452506i | ||||
\(167\) | −6.00000 | − | 3.46410i | −0.464294 | − | 0.268060i | 0.249554 | − | 0.968361i | \(-0.419716\pi\) |
−0.713848 | + | 0.700301i | \(0.753049\pi\) | |||||||
\(168\) | 2.53590 | − | 1.46410i | 0.195649 | − | 0.112958i | ||||
\(169\) | 11.5000 | + | 19.9186i | 0.884615 | + | 1.53220i | ||||
\(170\) | 2.59808 | − | 1.50000i | 0.199263 | − | 0.115045i | ||||
\(171\) | − | 3.12436i | − | 0.238925i | ||||||
\(172\) | 8.19615 | + | 4.73205i | 0.624951 | + | 0.360815i | ||||
\(173\) | 4.96410 | + | 8.59808i | 0.377414 | + | 0.653700i | 0.990685 | − | 0.136173i | \(-0.0434802\pi\) |
−0.613271 | + | 0.789872i | \(0.710147\pi\) | |||||||
\(174\) | −3.12436 | −0.236857 | ||||||||
\(175\) | 8.00000 | 0.604743 | ||||||||
\(176\) | −2.36603 | − | 4.09808i | −0.178346 | − | 0.308904i | ||||
\(177\) | 1.85641i | 0.139536i | ||||||||
\(178\) | 2.59808 | − | 4.50000i | 0.194734 | − | 0.337289i | ||||
\(179\) | − | 11.3205i | − | 0.846135i | −0.906098 | − | 0.423067i | \(-0.860953\pi\) | ||
0.906098 | − | 0.423067i | \(-0.139047\pi\) | |||||||
\(180\) | −3.69615 | − | 2.13397i | −0.275495 | − | 0.159057i | ||||
\(181\) | 7.69615 | − | 13.3301i | 0.572051 | − | 0.990821i | −0.424305 | − | 0.905519i | \(-0.639481\pi\) |
0.996355 | − | 0.0853011i | \(-0.0271852\pi\) | |||||||
\(182\) | 12.0000 | − | 20.7846i | 0.889499 | − | 1.54066i | ||||
\(183\) | 9.29423 | − | 5.36603i | 0.687049 | − | 0.396668i | ||||
\(184\) | 1.26795 | 0.0934745 | ||||||||
\(185\) | −4.50000 | + | 9.52628i | −0.330847 | + | 0.700386i | ||||
\(186\) | −0.928203 | −0.0680592 | ||||||||
\(187\) | −7.09808 | + | 4.09808i | −0.519063 | + | 0.299681i | ||||
\(188\) | 5.83013 | − | 10.0981i | 0.425206 | − | 0.736478i | ||||
\(189\) | −8.00000 | + | 13.8564i | −0.581914 | + | 1.00791i | ||||
\(190\) | 1.90192 | + | 1.09808i | 0.137980 | + | 0.0796628i | ||||
\(191\) | 24.5885i | 1.77916i | 0.456781 | + | 0.889579i | \(0.349002\pi\) | ||||
−0.456781 | + | 0.889579i | \(0.650998\pi\) | |||||||
\(192\) | −0.366025 | + | 0.633975i | −0.0264156 | + | 0.0457532i | ||||
\(193\) | − | 12.1244i | − | 0.872730i | −0.899770 | − | 0.436365i | \(-0.856266\pi\) | ||
0.899770 | − | 0.436365i | \(-0.143734\pi\) | |||||||
\(194\) | 2.59808 | + | 4.50000i | 0.186531 | + | 0.323081i | ||||
\(195\) | 7.60770 | 0.544798 | ||||||||
\(196\) | −9.00000 | −0.642857 | ||||||||
\(197\) | −13.1603 | − | 22.7942i | −0.937629 | − | 1.62402i | −0.769877 | − | 0.638192i | \(-0.779682\pi\) |
−0.167752 | − | 0.985829i | \(-0.553651\pi\) | |||||||
\(198\) | 10.0981 | + | 5.83013i | 0.717639 | + | 0.414329i | ||||
\(199\) | − | 5.07180i | − | 0.359530i | −0.983710 | − | 0.179765i | \(-0.942466\pi\) | ||
0.983710 | − | 0.179765i | \(-0.0575338\pi\) | |||||||
\(200\) | −1.73205 | + | 1.00000i | −0.122474 | + | 0.0707107i | ||||
\(201\) | 2.26795 | + | 3.92820i | 0.159969 | + | 0.277074i | ||||
\(202\) | −0.401924 | + | 0.232051i | −0.0282793 | + | 0.0163270i | ||||
\(203\) | 14.7846 | + | 8.53590i | 1.03768 | + | 0.599103i | ||||
\(204\) | 1.09808 | + | 0.633975i | 0.0768807 | + | 0.0443871i | ||||
\(205\) | 0.696152 | − | 0.401924i | 0.0486214 | − | 0.0280716i | ||||
\(206\) | 3.46410 | + | 6.00000i | 0.241355 | + | 0.418040i | ||||
\(207\) | −2.70577 | + | 1.56218i | −0.188064 | + | 0.108579i | ||||
\(208\) | 6.00000i | 0.416025i | ||||||||
\(209\) | −5.19615 | − | 3.00000i | −0.359425 | − | 0.207514i | ||||
\(210\) | −2.53590 | − | 4.39230i | −0.174994 | − | 0.303098i | ||||
\(211\) | 12.3923 | 0.853121 | 0.426561 | − | 0.904459i | \(-0.359725\pi\) | ||||
0.426561 | + | 0.904459i | \(0.359725\pi\) | |||||||
\(212\) | 2.53590 | 0.174166 | ||||||||
\(213\) | 0.928203 | + | 1.60770i | 0.0635994 | + | 0.110157i | ||||
\(214\) | − | 16.3923i | − | 1.12055i | ||||||
\(215\) | 8.19615 | − | 14.1962i | 0.558973 | − | 0.968170i | ||||
\(216\) | − | 4.00000i | − | 0.272166i | ||||||
\(217\) | 4.39230 | + | 2.53590i | 0.298169 | + | 0.172148i | ||||
\(218\) | −3.86603 | + | 6.69615i | −0.261840 | + | 0.453521i | ||||
\(219\) | −4.53590 | + | 7.85641i | −0.306508 | + | 0.530887i | ||||
\(220\) | −7.09808 | + | 4.09808i | −0.478552 | + | 0.276292i | ||||
\(221\) | 10.3923 | 0.699062 | ||||||||
\(222\) | −4.43782 | + | 0.366025i | −0.297847 | + | 0.0245660i | ||||
\(223\) | −22.5885 | −1.51263 | −0.756317 | − | 0.654205i | \(-0.773003\pi\) | ||||
−0.756317 | + | 0.654205i | \(0.773003\pi\) | |||||||
\(224\) | 3.46410 | − | 2.00000i | 0.231455 | − | 0.133631i | ||||
\(225\) | 2.46410 | − | 4.26795i | 0.164273 | − | 0.284530i | ||||
\(226\) | 9.92820 | − | 17.1962i | 0.660414 | − | 1.14387i | ||||
\(227\) | −1.09808 | − | 0.633975i | −0.0728819 | − | 0.0420784i | 0.463116 | − | 0.886298i | \(-0.346731\pi\) |
−0.535998 | + | 0.844219i | \(0.680065\pi\) | |||||||
\(228\) | 0.928203i | 0.0614718i | ||||||||
\(229\) | 9.50000 | − | 16.4545i | 0.627778 | − | 1.08734i | −0.360219 | − | 0.932868i | \(-0.617298\pi\) |
0.987997 | − | 0.154475i | \(-0.0493686\pi\) | |||||||
\(230\) | − | 2.19615i | − | 0.144810i | ||||||
\(231\) | 6.92820 | + | 12.0000i | 0.455842 | + | 0.789542i | ||||
\(232\) | −4.26795 | −0.280205 | ||||||||
\(233\) | −4.60770 | −0.301860 | −0.150930 | − | 0.988544i | \(-0.548227\pi\) | ||||
−0.150930 | + | 0.988544i | \(0.548227\pi\) | |||||||
\(234\) | −7.39230 | − | 12.8038i | −0.483250 | − | 0.837014i | ||||
\(235\) | −17.4904 | − | 10.0981i | −1.14095 | − | 0.658726i | ||||
\(236\) | 2.53590i | 0.165073i | ||||||||
\(237\) | −5.19615 | + | 3.00000i | −0.337526 | + | 0.194871i | ||||
\(238\) | −3.46410 | − | 6.00000i | −0.224544 | − | 0.388922i | ||||
\(239\) | −4.39230 | + | 2.53590i | −0.284115 | + | 0.164034i | −0.635285 | − | 0.772278i | \(-0.719117\pi\) |
0.351170 | + | 0.936312i | \(0.385784\pi\) | |||||||
\(240\) | 1.09808 | + | 0.633975i | 0.0708805 | + | 0.0409229i | ||||
\(241\) | −15.5885 | − | 9.00000i | −1.00414 | − | 0.579741i | −0.0946700 | − | 0.995509i | \(-0.530180\pi\) |
−0.909471 | + | 0.415768i | \(0.863513\pi\) | |||||||
\(242\) | 9.86603 | − | 5.69615i | 0.634212 | − | 0.366163i | ||||
\(243\) | 7.63397 | + | 13.2224i | 0.489720 | + | 0.848219i | ||||
\(244\) | 12.6962 | − | 7.33013i | 0.812788 | − | 0.469263i | ||||
\(245\) | 15.5885i | 0.995910i | ||||||||
\(246\) | 0.294229 | + | 0.169873i | 0.0187593 | + | 0.0108307i | ||||
\(247\) | 3.80385 | + | 6.58846i | 0.242033 | + | 0.419213i | ||||
\(248\) | −1.26795 | −0.0805149 | ||||||||
\(249\) | −8.53590 | −0.540941 | ||||||||
\(250\) | 6.06218 | + | 10.5000i | 0.383406 | + | 0.664078i | ||||
\(251\) | − | 5.07180i | − | 0.320129i | −0.987107 | − | 0.160064i | \(-0.948830\pi\) | ||
0.987107 | − | 0.160064i | \(-0.0511702\pi\) | |||||||
\(252\) | −4.92820 | + | 8.53590i | −0.310448 | + | 0.537711i | ||||
\(253\) | 6.00000i | 0.377217i | ||||||||
\(254\) | 9.16987 | + | 5.29423i | 0.575369 | + | 0.332189i | ||||
\(255\) | 1.09808 | − | 1.90192i | 0.0687642 | − | 0.119103i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 9.69615 | − | 5.59808i | 0.604829 | − | 0.349198i | −0.166110 | − | 0.986107i | \(-0.553121\pi\) |
0.770939 | + | 0.636909i | \(0.219787\pi\) | |||||||
\(258\) | 6.92820 | 0.431331 | ||||||||
\(259\) | 22.0000 | + | 10.3923i | 1.36701 | + | 0.645746i | ||||
\(260\) | 10.3923 | 0.644503 | ||||||||
\(261\) | 9.10770 | − | 5.25833i | 0.563752 | − | 0.325482i | ||||
\(262\) | −4.09808 | + | 7.09808i | −0.253180 | + | 0.438521i | ||||
\(263\) | −11.6603 | + | 20.1962i | −0.719002 | + | 1.24535i | 0.242393 | + | 0.970178i | \(0.422068\pi\) |
−0.961396 | + | 0.275170i | \(0.911266\pi\) | |||||||
\(264\) | −3.00000 | − | 1.73205i | −0.184637 | − | 0.106600i | ||||
\(265\) | − | 4.39230i | − | 0.269817i | ||||||
\(266\) | 2.53590 | − | 4.39230i | 0.155486 | − | 0.269309i | ||||
\(267\) | − | 3.80385i | − | 0.232792i | ||||||
\(268\) | 3.09808 | + | 5.36603i | 0.189245 | + | 0.327782i | ||||
\(269\) | −7.60770 | −0.463849 | −0.231925 | − | 0.972734i | \(-0.574502\pi\) | ||||
−0.231925 | + | 0.972734i | \(0.574502\pi\) | |||||||
\(270\) | −6.92820 | −0.421637 | ||||||||
\(271\) | 7.29423 | + | 12.6340i | 0.443093 | + | 0.767459i | 0.997917 | − | 0.0645082i | \(-0.0205479\pi\) |
−0.554824 | + | 0.831968i | \(0.687215\pi\) | |||||||
\(272\) | 1.50000 | + | 0.866025i | 0.0909509 | + | 0.0525105i | ||||
\(273\) | − | 17.5692i | − | 1.06334i | ||||||
\(274\) | −11.5981 | + | 6.69615i | −0.700665 | + | 0.404529i | ||||
\(275\) | −4.73205 | − | 8.19615i | −0.285353 | − | 0.494247i | ||||
\(276\) | 0.803848 | − | 0.464102i | 0.0483859 | − | 0.0279356i | ||||
\(277\) | −5.89230 | − | 3.40192i | −0.354034 | − | 0.204402i | 0.312426 | − | 0.949942i | \(-0.398858\pi\) |
−0.666461 | + | 0.745540i | \(0.732192\pi\) | |||||||
\(278\) | −1.56218 | − | 0.901924i | −0.0936932 | − | 0.0540938i | ||||
\(279\) | 2.70577 | − | 1.56218i | 0.161990 | − | 0.0935251i | ||||
\(280\) | −3.46410 | − | 6.00000i | −0.207020 | − | 0.358569i | ||||
\(281\) | −9.69615 | + | 5.59808i | −0.578424 | + | 0.333953i | −0.760507 | − | 0.649330i | \(-0.775049\pi\) |
0.182083 | + | 0.983283i | \(0.441716\pi\) | |||||||
\(282\) | − | 8.53590i | − | 0.508305i | ||||||
\(283\) | 2.19615 | + | 1.26795i | 0.130548 | + | 0.0753718i | 0.563852 | − | 0.825876i | \(-0.309319\pi\) |
−0.433304 | + | 0.901248i | \(0.642652\pi\) | |||||||
\(284\) | 1.26795 | + | 2.19615i | 0.0752389 | + | 0.130318i | ||||
\(285\) | 1.60770 | 0.0952316 | ||||||||
\(286\) | −28.3923 | −1.67887 | ||||||||
\(287\) | −0.928203 | − | 1.60770i | −0.0547901 | − | 0.0948992i | ||||
\(288\) | − | 2.46410i | − | 0.145199i | ||||||
\(289\) | −7.00000 | + | 12.1244i | −0.411765 | + | 0.713197i | ||||
\(290\) | 7.39230i | 0.434091i | ||||||||
\(291\) | 3.29423 | + | 1.90192i | 0.193111 | + | 0.111493i | ||||
\(292\) | −6.19615 | + | 10.7321i | −0.362602 | + | 0.628046i | ||||
\(293\) | −12.6962 | + | 21.9904i | −0.741717 | + | 1.28469i | 0.209996 | + | 0.977702i | \(0.432655\pi\) |
−0.951713 | + | 0.306989i | \(0.900678\pi\) | |||||||
\(294\) | −5.70577 | + | 3.29423i | −0.332767 | + | 0.192123i | ||||
\(295\) | 4.39230 | 0.255730 | ||||||||
\(296\) | −6.06218 | + | 0.500000i | −0.352357 | + | 0.0290619i | ||||
\(297\) | 18.9282 | 1.09833 | ||||||||
\(298\) | 3.40192 | − | 1.96410i | 0.197068 | − | 0.113777i | ||||
\(299\) | 3.80385 | − | 6.58846i | 0.219982 | − | 0.381020i | ||||
\(300\) | −0.732051 | + | 1.26795i | −0.0422650 | + | 0.0732051i | ||||
\(301\) | −32.7846 | − | 18.9282i | −1.88967 | − | 1.09100i | ||||
\(302\) | − | 1.80385i | − | 0.103800i | ||||||
\(303\) | −0.169873 | + | 0.294229i | −0.00975895 | + | 0.0169030i | ||||
\(304\) | 1.26795i | 0.0727219i | ||||||||
\(305\) | −12.6962 | − | 21.9904i | −0.726980 | − | 1.25917i | ||||
\(306\) | −4.26795 | −0.243982 | ||||||||
\(307\) | −4.00000 | −0.228292 | −0.114146 | − | 0.993464i | \(-0.536413\pi\) | ||||
−0.114146 | + | 0.993464i | \(0.536413\pi\) | |||||||
\(308\) | 9.46410 | + | 16.3923i | 0.539267 | + | 0.934038i | ||||
\(309\) | 4.39230 | + | 2.53590i | 0.249869 | + | 0.144262i | ||||
\(310\) | 2.19615i | 0.124733i | ||||||||
\(311\) | 14.1962 | − | 8.19615i | 0.804990 | − | 0.464761i | −0.0402231 | − | 0.999191i | \(-0.512807\pi\) |
0.845213 | + | 0.534430i | \(0.179474\pi\) | |||||||
\(312\) | 2.19615 | + | 3.80385i | 0.124333 | + | 0.215350i | ||||
\(313\) | 18.6962 | − | 10.7942i | 1.05677 | − | 0.610126i | 0.132232 | − | 0.991219i | \(-0.457786\pi\) |
0.924537 | + | 0.381093i | \(0.124452\pi\) | |||||||
\(314\) | 8.13397 | + | 4.69615i | 0.459027 | + | 0.265019i | ||||
\(315\) | 14.7846 | + | 8.53590i | 0.833018 | + | 0.480943i | ||||
\(316\) | −7.09808 | + | 4.09808i | −0.399298 | + | 0.230535i | ||||
\(317\) | −4.50000 | − | 7.79423i | −0.252745 | − | 0.437767i | 0.711535 | − | 0.702650i | \(-0.248000\pi\) |
−0.964281 | + | 0.264883i | \(0.914667\pi\) | |||||||
\(318\) | 1.60770 | − | 0.928203i | 0.0901551 | − | 0.0520511i | ||||
\(319\) | − | 20.1962i | − | 1.13077i | ||||||
\(320\) | 1.50000 | + | 0.866025i | 0.0838525 | + | 0.0484123i | ||||
\(321\) | −6.00000 | − | 10.3923i | −0.334887 | − | 0.580042i | ||||
\(322\) | −5.07180 | −0.282640 | ||||||||
\(323\) | 2.19615 | 0.122197 | ||||||||
\(324\) | 2.23205 | + | 3.86603i | 0.124003 | + | 0.214779i | ||||
\(325\) | 12.0000i | 0.665640i | ||||||||
\(326\) | −1.26795 | + | 2.19615i | −0.0702252 | + | 0.121634i | ||||
\(327\) | 5.66025i | 0.313013i | ||||||||
\(328\) | 0.401924 | + | 0.232051i | 0.0221925 | + | 0.0128129i | ||||
\(329\) | −23.3205 | + | 40.3923i | −1.28570 | + | 2.22690i | ||||
\(330\) | −3.00000 | + | 5.19615i | −0.165145 | + | 0.286039i | ||||
\(331\) | −26.7846 | + | 15.4641i | −1.47222 | + | 0.849984i | −0.999512 | − | 0.0312377i | \(-0.990055\pi\) |
−0.472703 | + | 0.881222i | \(0.656722\pi\) | |||||||
\(332\) | −11.6603 | −0.639940 | ||||||||
\(333\) | 12.3205 | − | 8.53590i | 0.675160 | − | 0.467764i | ||||
\(334\) | −6.92820 | −0.379094 | ||||||||
\(335\) | 9.29423 | − | 5.36603i | 0.507798 | − | 0.293177i | ||||
\(336\) | 1.46410 | − | 2.53590i | 0.0798733 | − | 0.138345i | ||||
\(337\) | 3.50000 | − | 6.06218i | 0.190657 | − | 0.330228i | −0.754811 | − | 0.655942i | \(-0.772271\pi\) |
0.945468 | + | 0.325714i | \(0.105605\pi\) | |||||||
\(338\) | 19.9186 | + | 11.5000i | 1.08343 | + | 0.625518i | ||||
\(339\) | − | 14.5359i | − | 0.789482i | ||||||
\(340\) | 1.50000 | − | 2.59808i | 0.0813489 | − | 0.140900i | ||||
\(341\) | − | 6.00000i | − | 0.324918i | ||||||
\(342\) | −1.56218 | − | 2.70577i | −0.0844729 | − | 0.146311i | ||||
\(343\) | 8.00000 | 0.431959 | ||||||||
\(344\) | 9.46410 | 0.510270 | ||||||||
\(345\) | −0.803848 | − | 1.39230i | −0.0432777 | − | 0.0749592i | ||||
\(346\) | 8.59808 | + | 4.96410i | 0.462235 | + | 0.266872i | ||||
\(347\) | 10.0526i | 0.539650i | 0.962909 | + | 0.269825i | \(0.0869658\pi\) | ||||
−0.962909 | + | 0.269825i | \(0.913034\pi\) | |||||||
\(348\) | −2.70577 | + | 1.56218i | −0.145045 | + | 0.0837415i | ||||
\(349\) | 3.30385 | + | 5.72243i | 0.176851 | + | 0.306315i | 0.940800 | − | 0.338961i | \(-0.110076\pi\) |
−0.763949 | + | 0.645276i | \(0.776742\pi\) | |||||||
\(350\) | 6.92820 | − | 4.00000i | 0.370328 | − | 0.213809i | ||||
\(351\) | −20.7846 | − | 12.0000i | −1.10940 | − | 0.640513i | ||||
\(352\) | −4.09808 | − | 2.36603i | −0.218428 | − | 0.126110i | ||||
\(353\) | 26.0885 | − | 15.0622i | 1.38855 | − | 0.801679i | 0.395397 | − | 0.918510i | \(-0.370607\pi\) |
0.993152 | + | 0.116832i | \(0.0372738\pi\) | |||||||
\(354\) | 0.928203 | + | 1.60770i | 0.0493334 | + | 0.0854480i | ||||
\(355\) | 3.80385 | − | 2.19615i | 0.201887 | − | 0.116560i | ||||
\(356\) | − | 5.19615i | − | 0.275396i | ||||||
\(357\) | −4.39230 | − | 2.53590i | −0.232465 | − | 0.134214i | ||||
\(358\) | −5.66025 | − | 9.80385i | −0.299154 | − | 0.518149i | ||||
\(359\) | 33.4641 | 1.76617 | 0.883084 | − | 0.469215i | \(-0.155463\pi\) | ||||
0.883084 | + | 0.469215i | \(0.155463\pi\) | |||||||
\(360\) | −4.26795 | −0.224941 | ||||||||
\(361\) | −8.69615 | − | 15.0622i | −0.457692 | − | 0.792746i | ||||
\(362\) | − | 15.3923i | − | 0.809002i | ||||||
\(363\) | 4.16987 | − | 7.22243i | 0.218862 | − | 0.379079i | ||||
\(364\) | − | 24.0000i | − | 1.25794i | ||||||
\(365\) | 18.5885 | + | 10.7321i | 0.972964 | + | 0.561741i | ||||
\(366\) | 5.36603 | − | 9.29423i | 0.280487 | − | 0.485817i | ||||
\(367\) | −0.196152 | + | 0.339746i | −0.0102391 | + | 0.0177346i | −0.871100 | − | 0.491106i | \(-0.836593\pi\) |
0.860860 | + | 0.508841i | \(0.169926\pi\) | |||||||
\(368\) | 1.09808 | − | 0.633975i | 0.0572412 | − | 0.0330482i | ||||
\(369\) | −1.14359 | −0.0595331 | ||||||||
\(370\) | 0.866025 | + | 10.5000i | 0.0450225 | + | 0.545869i | ||||
\(371\) | −10.1436 | −0.526629 | ||||||||
\(372\) | −0.803848 | + | 0.464102i | −0.0416776 | + | 0.0240625i | ||||
\(373\) | 9.89230 | − | 17.1340i | 0.512204 | − | 0.887164i | −0.487696 | − | 0.873014i | \(-0.662162\pi\) |
0.999900 | − | 0.0141499i | \(-0.00450421\pi\) | |||||||
\(374\) | −4.09808 | + | 7.09808i | −0.211906 | + | 0.367033i | ||||
\(375\) | 7.68653 | + | 4.43782i | 0.396931 | + | 0.229168i | ||||
\(376\) | − | 11.6603i | − | 0.601332i | ||||||
\(377\) | −12.8038 | + | 22.1769i | −0.659432 | + | 1.14217i | ||||
\(378\) | 16.0000i | 0.822951i | ||||||||
\(379\) | −12.3923 | − | 21.4641i | −0.636550 | − | 1.10254i | −0.986184 | − | 0.165651i | \(-0.947028\pi\) |
0.349635 | − | 0.936886i | \(-0.386306\pi\) | |||||||
\(380\) | 2.19615 | 0.112660 | ||||||||
\(381\) | 7.75129 | 0.397111 | ||||||||
\(382\) | 12.2942 | + | 21.2942i | 0.629027 | + | 1.08951i | ||||
\(383\) | 22.3923 | + | 12.9282i | 1.14419 | + | 0.660600i | 0.947466 | − | 0.319858i | \(-0.103635\pi\) |
0.196728 | + | 0.980458i | \(0.436968\pi\) | |||||||
\(384\) | 0.732051i | 0.0373573i | ||||||||
\(385\) | 28.3923 | − | 16.3923i | 1.44701 | − | 0.835429i | ||||
\(386\) | −6.06218 | − | 10.5000i | −0.308557 | − | 0.534436i | ||||
\(387\) | −20.1962 | + | 11.6603i | −1.02663 | + | 0.592724i | ||||
\(388\) | 4.50000 | + | 2.59808i | 0.228453 | + | 0.131897i | ||||
\(389\) | 0.696152 | + | 0.401924i | 0.0352963 | + | 0.0203783i | 0.517544 | − | 0.855656i | \(-0.326846\pi\) |
−0.482248 | + | 0.876035i | \(0.660180\pi\) | |||||||
\(390\) | 6.58846 | − | 3.80385i | 0.333620 | − | 0.192615i | ||||
\(391\) | −1.09808 | − | 1.90192i | −0.0555321 | − | 0.0961844i | ||||
\(392\) | −7.79423 | + | 4.50000i | −0.393668 | + | 0.227284i | ||||
\(393\) | 6.00000i | 0.302660i | ||||||||
\(394\) | −22.7942 | − | 13.1603i | −1.14836 | − | 0.663004i | ||||
\(395\) | 7.09808 | + | 12.2942i | 0.357143 | + | 0.618590i | ||||
\(396\) | 11.6603 | 0.585950 | ||||||||
\(397\) | −5.00000 | −0.250943 | −0.125471 | − | 0.992097i | \(-0.540044\pi\) | ||||
−0.125471 | + | 0.992097i | \(0.540044\pi\) | |||||||
\(398\) | −2.53590 | − | 4.39230i | −0.127113 | − | 0.220166i | ||||
\(399\) | − | 3.71281i | − | 0.185873i | ||||||
\(400\) | −1.00000 | + | 1.73205i | −0.0500000 | + | 0.0866025i | ||||
\(401\) | − | 14.7846i | − | 0.738308i | −0.929368 | − | 0.369154i | \(-0.879647\pi\) | ||
0.929368 | − | 0.369154i | \(-0.120353\pi\) | |||||||
\(402\) | 3.92820 | + | 2.26795i | 0.195921 | + | 0.113115i | ||||
\(403\) | −3.80385 | + | 6.58846i | −0.189483 | + | 0.328194i | ||||
\(404\) | −0.232051 | + | 0.401924i | −0.0115450 | + | 0.0199965i | ||||
\(405\) | 6.69615 | − | 3.86603i | 0.332734 | − | 0.192104i | ||||
\(406\) | 17.0718 | 0.847259 | ||||||||
\(407\) | −2.36603 | − | 28.6865i | −0.117280 | − | 1.42194i | ||||
\(408\) | 1.26795 | 0.0627728 | ||||||||
\(409\) | −29.0885 | + | 16.7942i | −1.43833 | + | 0.830421i | −0.997734 | − | 0.0672835i | \(-0.978567\pi\) |
−0.440598 | + | 0.897705i | \(0.645233\pi\) | |||||||
\(410\) | 0.401924 | − | 0.696152i | 0.0198496 | − | 0.0343805i | ||||
\(411\) | −4.90192 | + | 8.49038i | −0.241794 | + | 0.418800i | ||||
\(412\) | 6.00000 | + | 3.46410i | 0.295599 | + | 0.170664i | ||||
\(413\) | − | 10.1436i | − | 0.499134i | ||||||
\(414\) | −1.56218 | + | 2.70577i | −0.0767769 | + | 0.132981i | ||||
\(415\) | 20.1962i | 0.991390i | ||||||||
\(416\) | 3.00000 | + | 5.19615i | 0.147087 | + | 0.254762i | ||||
\(417\) | −1.32051 | −0.0646656 | ||||||||
\(418\) | −6.00000 | −0.293470 | ||||||||
\(419\) | −5.07180 | − | 8.78461i | −0.247773 | − | 0.429156i | 0.715134 | − | 0.698987i | \(-0.246366\pi\) |
−0.962908 | + | 0.269831i | \(0.913032\pi\) | |||||||
\(420\) | −4.39230 | − | 2.53590i | −0.214323 | − | 0.123739i | ||||
\(421\) | 3.33975i | 0.162769i | 0.996683 | + | 0.0813846i | \(0.0259342\pi\) | ||||
−0.996683 | + | 0.0813846i | \(0.974066\pi\) | |||||||
\(422\) | 10.7321 | − | 6.19615i | 0.522428 | − | 0.301624i | ||||
\(423\) | 14.3660 | + | 24.8827i | 0.698500 | + | 1.20984i | ||||
\(424\) | 2.19615 | − | 1.26795i | 0.106655 | − | 0.0615771i | ||||
\(425\) | 3.00000 | + | 1.73205i | 0.145521 | + | 0.0840168i | ||||
\(426\) | 1.60770 | + | 0.928203i | 0.0778931 | + | 0.0449716i | ||||
\(427\) | −50.7846 | + | 29.3205i | −2.45764 | + | 1.41892i | ||||
\(428\) | −8.19615 | − | 14.1962i | −0.396176 | − | 0.686197i | ||||
\(429\) | −18.0000 | + | 10.3923i | −0.869048 | + | 0.501745i | ||||
\(430\) | − | 16.3923i | − | 0.790507i | ||||||
\(431\) | 19.0981 | + | 11.0263i | 0.919922 | + | 0.531117i | 0.883610 | − | 0.468223i | \(-0.155106\pi\) |
0.0363118 | + | 0.999341i | \(0.488439\pi\) | |||||||
\(432\) | −2.00000 | − | 3.46410i | −0.0962250 | − | 0.166667i | ||||
\(433\) | −12.6077 | −0.605887 | −0.302944 | − | 0.953008i | \(-0.597969\pi\) | ||||
−0.302944 | + | 0.953008i | \(0.597969\pi\) | |||||||
\(434\) | 5.07180 | 0.243454 | ||||||||
\(435\) | 2.70577 | + | 4.68653i | 0.129732 | + | 0.224702i | ||||
\(436\) | 7.73205i | 0.370298i | ||||||||
\(437\) | 0.803848 | − | 1.39230i | 0.0384532 | − | 0.0666030i | ||||
\(438\) | 9.07180i | 0.433467i | ||||||||
\(439\) | 2.19615 | + | 1.26795i | 0.104817 | + | 0.0605159i | 0.551492 | − | 0.834180i | \(-0.314059\pi\) |
−0.446675 | + | 0.894696i | \(0.647392\pi\) | |||||||
\(440\) | −4.09808 | + | 7.09808i | −0.195368 | + | 0.338388i | ||||
\(441\) | 11.0885 | − | 19.2058i | 0.528022 | − | 0.914561i | ||||
\(442\) | 9.00000 | − | 5.19615i | 0.428086 | − | 0.247156i | ||||
\(443\) | −9.46410 | −0.449653 | −0.224827 | − | 0.974399i | \(-0.572182\pi\) | ||||
−0.224827 | + | 0.974399i | \(0.572182\pi\) | |||||||
\(444\) | −3.66025 | + | 2.53590i | −0.173708 | + | 0.120348i | ||||
\(445\) | −9.00000 | −0.426641 | ||||||||
\(446\) | −19.5622 | + | 11.2942i | −0.926296 | + | 0.534797i | ||||
\(447\) | 1.43782 | − | 2.49038i | 0.0680067 | − | 0.117791i | ||||
\(448\) | 2.00000 | − | 3.46410i | 0.0944911 | − | 0.163663i | ||||
\(449\) | 9.58846 | + | 5.53590i | 0.452507 | + | 0.261255i | 0.708889 | − | 0.705321i | \(-0.249197\pi\) |
−0.256381 | + | 0.966576i | \(0.582530\pi\) | |||||||
\(450\) | − | 4.92820i | − | 0.232318i | ||||||
\(451\) | −1.09808 | + | 1.90192i | −0.0517064 | + | 0.0895581i | ||||
\(452\) | − | 19.8564i | − | 0.933967i | ||||||
\(453\) | −0.660254 | − | 1.14359i | −0.0310214 | − | 0.0537307i | ||||
\(454\) | −1.26795 | −0.0595078 | ||||||||
\(455\) | −41.5692 | −1.94880 | ||||||||
\(456\) | 0.464102 | + | 0.803848i | 0.0217335 | + | 0.0376436i | ||||
\(457\) | 27.6962 | + | 15.9904i | 1.29557 | + | 0.747998i | 0.979636 | − | 0.200782i | \(-0.0643484\pi\) |
0.315935 | + | 0.948781i | \(0.397682\pi\) | |||||||
\(458\) | − | 19.0000i | − | 0.887812i | ||||||
\(459\) | −6.00000 | + | 3.46410i | −0.280056 | + | 0.161690i | ||||
\(460\) | −1.09808 | − | 1.90192i | −0.0511981 | − | 0.0886777i | ||||
\(461\) | −18.8038 | + | 10.8564i | −0.875782 | + | 0.505633i | −0.869266 | − | 0.494346i | \(-0.835408\pi\) |
−0.00651699 | + | 0.999979i | \(0.502074\pi\) | |||||||
\(462\) | 12.0000 | + | 6.92820i | 0.558291 | + | 0.322329i | ||||
\(463\) | 18.5885 | + | 10.7321i | 0.863879 | + | 0.498761i | 0.865309 | − | 0.501238i | \(-0.167122\pi\) |
−0.00143043 | + | 0.999999i | \(0.500455\pi\) | |||||||
\(464\) | −3.69615 | + | 2.13397i | −0.171590 | + | 0.0990673i | ||||
\(465\) | 0.803848 | + | 1.39230i | 0.0372775 | + | 0.0645666i | ||||
\(466\) | −3.99038 | + | 2.30385i | −0.184851 | + | 0.106724i | ||||
\(467\) | − | 18.2487i | − | 0.844450i | −0.906491 | − | 0.422225i | \(-0.861249\pi\) | ||
0.906491 | − | 0.422225i | \(-0.138751\pi\) | |||||||
\(468\) | −12.8038 | − | 7.39230i | −0.591858 | − | 0.341709i | ||||
\(469\) | −12.3923 | − | 21.4641i | −0.572223 | − | 0.991120i | ||||
\(470\) | −20.1962 | −0.931579 | ||||||||
\(471\) | 6.87564 | 0.316813 | ||||||||
\(472\) | 1.26795 | + | 2.19615i | 0.0583621 | + | 0.101086i | ||||
\(473\) | 44.7846i | 2.05920i | ||||||||
\(474\) | −3.00000 | + | 5.19615i | −0.137795 | + | 0.238667i | ||||
\(475\) | 2.53590i | 0.116355i | ||||||||
\(476\) | −6.00000 | − | 3.46410i | −0.275010 | − | 0.158777i | ||||
\(477\) | −3.12436 | + | 5.41154i | −0.143054 | + | 0.247778i | ||||
\(478\) | −2.53590 | + | 4.39230i | −0.115989 | + | 0.200899i | ||||
\(479\) | 2.19615 | − | 1.26795i | 0.100345 | − | 0.0579341i | −0.448988 | − | 0.893538i | \(-0.648215\pi\) |
0.549333 | + | 0.835604i | \(0.314882\pi\) | |||||||
\(480\) | 1.26795 | 0.0578737 | ||||||||
\(481\) | −15.5885 | + | 33.0000i | −0.710772 | + | 1.50467i | ||||
\(482\) | −18.0000 | −0.819878 | ||||||||
\(483\) | −3.21539 | + | 1.85641i | −0.146305 | + | 0.0844694i | ||||
\(484\) | 5.69615 | − | 9.86603i | 0.258916 | − | 0.448456i | ||||
\(485\) | 4.50000 | − | 7.79423i | 0.204334 | − | 0.353918i | ||||
\(486\) | 13.2224 | + | 7.63397i | 0.599782 | + | 0.346284i | ||||
\(487\) | − | 10.0526i | − | 0.455525i | −0.973717 | − | 0.227762i | \(-0.926859\pi\) | ||
0.973717 | − | 0.227762i | \(-0.0731410\pi\) | |||||||
\(488\) | 7.33013 | − | 12.6962i | 0.331819 | − | 0.574728i | ||||
\(489\) | 1.85641i | 0.0839496i | ||||||||
\(490\) | 7.79423 | + | 13.5000i | 0.352107 | + | 0.609868i | ||||
\(491\) | −22.9808 | −1.03711 | −0.518554 | − | 0.855045i | \(-0.673529\pi\) | ||||
−0.518554 | + | 0.855045i | \(0.673529\pi\) | |||||||
\(492\) | 0.339746 | 0.0153169 | ||||||||
\(493\) | 3.69615 | + | 6.40192i | 0.166466 | + | 0.288328i | ||||
\(494\) | 6.58846 | + | 3.80385i | 0.296429 | + | 0.171143i | ||||
\(495\) | − | 20.1962i | − | 0.907750i | ||||||
\(496\) | −1.09808 | + | 0.633975i | −0.0493051 | + | 0.0284663i | ||||
\(497\) | −5.07180 | − | 8.78461i | −0.227501 | − | 0.394044i | ||||
\(498\) | −7.39230 | + | 4.26795i | −0.331257 | + | 0.191251i | ||||
\(499\) | 7.09808 | + | 4.09808i | 0.317754 | + | 0.183455i | 0.650391 | − | 0.759600i | \(-0.274605\pi\) |
−0.332637 | + | 0.943055i | \(0.607938\pi\) | |||||||
\(500\) | 10.5000 | + | 6.06218i | 0.469574 | + | 0.271109i | ||||
\(501\) | −4.39230 | + | 2.53590i | −0.196234 | + | 0.113296i | ||||
\(502\) | −2.53590 | − | 4.39230i | −0.113183 | − | 0.196038i | ||||
\(503\) | 10.9019 | − | 6.29423i | 0.486093 | − | 0.280646i | −0.236859 | − | 0.971544i | \(-0.576118\pi\) |
0.722952 | + | 0.690898i | \(0.242785\pi\) | |||||||
\(504\) | 9.85641i | 0.439039i | ||||||||
\(505\) | 0.696152 | + | 0.401924i | 0.0309784 | + | 0.0178854i | ||||
\(506\) | 3.00000 | + | 5.19615i | 0.133366 | + | 0.230997i | ||||
\(507\) | 16.8372 | 0.747765 | ||||||||
\(508\) | 10.5885 | 0.469787 | ||||||||
\(509\) | −15.8205 | − | 27.4019i | −0.701232 | − | 1.21457i | −0.968034 | − | 0.250818i | \(-0.919301\pi\) |
0.266803 | − | 0.963751i | \(-0.414033\pi\) | |||||||
\(510\) | − | 2.19615i | − | 0.0972473i | ||||||
\(511\) | 24.7846 | − | 42.9282i | 1.09641 | − | 1.89903i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −4.39230 | − | 2.53590i | −0.193925 | − | 0.111963i | ||||
\(514\) | 5.59808 | − | 9.69615i | 0.246921 | − | 0.427679i | ||||
\(515\) | 6.00000 | − | 10.3923i | 0.264392 | − | 0.457940i | ||||
\(516\) | 6.00000 | − | 3.46410i | 0.264135 | − | 0.152499i | ||||
\(517\) | 55.1769 | 2.42668 | ||||||||
\(518\) | 24.2487 | − | 2.00000i | 1.06543 | − | 0.0878750i | ||||
\(519\) | 7.26795 | 0.319028 | ||||||||
\(520\) | 9.00000 | − | 5.19615i | 0.394676 | − | 0.227866i | ||||
\(521\) | −13.2679 | + | 22.9808i | −0.581279 | + | 1.00681i | 0.414049 | + | 0.910255i | \(0.364114\pi\) |
−0.995328 | + | 0.0965507i | \(0.969219\pi\) | |||||||
\(522\) | 5.25833 | − | 9.10770i | 0.230151 | − | 0.398633i | ||||
\(523\) | 10.9019 | + | 6.29423i | 0.476708 | + | 0.275227i | 0.719043 | − | 0.694965i | \(-0.244580\pi\) |
−0.242336 | + | 0.970192i | \(0.577914\pi\) | |||||||
\(524\) | 8.19615i | 0.358051i | ||||||||
\(525\) | 2.92820 | − | 5.07180i | 0.127797 | − | 0.221351i | ||||
\(526\) | 23.3205i | 1.01682i | ||||||||
\(527\) | 1.09808 | + | 1.90192i | 0.0478330 | + | 0.0828491i | ||||
\(528\) | −3.46410 | −0.150756 | ||||||||
\(529\) | 21.3923 | 0.930100 | ||||||||
\(530\) | −2.19615 | − | 3.80385i | −0.0953948 | − | 0.165229i | ||||
\(531\) | −5.41154 | − | 3.12436i | −0.234841 | − | 0.135585i | ||||
\(532\) | − | 5.07180i | − | 0.219890i | ||||||
\(533\) | 2.41154 | − | 1.39230i | 0.104456 | − | 0.0603074i | ||||
\(534\) | −1.90192 | − | 3.29423i | −0.0823043 | − | 0.142555i | ||||
\(535\) | −24.5885 | + | 14.1962i | −1.06305 | + | 0.613753i | ||||
\(536\) | 5.36603 | + | 3.09808i | 0.231777 | + | 0.133817i | ||||
\(537\) | −7.17691 | − | 4.14359i | −0.309707 | − | 0.178809i | ||||
\(538\) | −6.58846 | + | 3.80385i | −0.284049 | + | 0.163996i | ||||
\(539\) | −21.2942 | − | 36.8827i | −0.917207 | − | 1.58865i | ||||
\(540\) | −6.00000 | + | 3.46410i | −0.258199 | + | 0.149071i | ||||
\(541\) | 3.58846i | 0.154280i | 0.997020 | + | 0.0771399i | \(0.0245788\pi\) | ||||
−0.997020 | + | 0.0771399i | \(0.975421\pi\) | |||||||
\(542\) | 12.6340 | + | 7.29423i | 0.542676 | + | 0.313314i | ||||
\(543\) | −5.63397 | − | 9.75833i | −0.241777 | − | 0.418770i | ||||
\(544\) | 1.73205 | 0.0742611 | ||||||||
\(545\) | 13.3923 | 0.573663 | ||||||||
\(546\) | −8.78461 | − | 15.2154i | −0.375947 | − | 0.651159i | ||||
\(547\) | − | 12.5885i | − | 0.538244i | −0.963106 | − | 0.269122i | \(-0.913267\pi\) | ||
0.963106 | − | 0.269122i | \(-0.0867334\pi\) | |||||||
\(548\) | −6.69615 | + | 11.5981i | −0.286045 | + | 0.495445i | ||||
\(549\) | 36.1244i | 1.54175i | ||||||||
\(550\) | −8.19615 | − | 4.73205i | −0.349485 | − | 0.201775i | ||||
\(551\) | −2.70577 | + | 4.68653i | −0.115270 | + | 0.199653i | ||||
\(552\) | 0.464102 | − | 0.803848i | 0.0197535 | − | 0.0342140i | ||||
\(553\) | 28.3923 | − | 16.3923i | 1.20736 | − | 0.697072i | ||||
\(554\) | −6.80385 | −0.289068 | ||||||||
\(555\) | 4.39230 | + | 6.33975i | 0.186443 | + | 0.269107i | ||||
\(556\) | −1.80385 | −0.0765002 | ||||||||
\(557\) | 9.10770 | − | 5.25833i | 0.385905 | − | 0.222803i | −0.294479 | − | 0.955658i | \(-0.595146\pi\) |
0.680385 | + | 0.732855i | \(0.261813\pi\) | |||||||
\(558\) | 1.56218 | − | 2.70577i | 0.0661323 | − | 0.114544i | ||||
\(559\) | 28.3923 | − | 49.1769i | 1.20087 | − | 2.07996i | ||||
\(560\) | −6.00000 | − | 3.46410i | −0.253546 | − | 0.146385i | ||||
\(561\) | 6.00000i | 0.253320i | ||||||||
\(562\) | −5.59808 | + | 9.69615i | −0.236141 | + | 0.409008i | ||||
\(563\) | 11.4115i | 0.480939i | 0.970657 | + | 0.240470i | \(0.0773014\pi\) | ||||
−0.970657 | + | 0.240470i | \(0.922699\pi\) | |||||||
\(564\) | −4.26795 | − | 7.39230i | −0.179713 | − | 0.311272i | ||||
\(565\) | −34.3923 | −1.44690 | ||||||||
\(566\) | 2.53590 | 0.106592 | ||||||||
\(567\) | −8.92820 | − | 15.4641i | −0.374949 | − | 0.649431i | ||||
\(568\) | 2.19615 | + | 1.26795i | 0.0921485 | + | 0.0532020i | ||||
\(569\) | − | 28.5167i | − | 1.19548i | −0.801690 | − | 0.597740i | \(-0.796065\pi\) | ||
0.801690 | − | 0.597740i | \(-0.203935\pi\) | |||||||
\(570\) | 1.39230 | − | 0.803848i | 0.0583172 | − | 0.0336695i | ||||
\(571\) | −7.49038 | − | 12.9737i | −0.313463 | − | 0.542933i | 0.665647 | − | 0.746267i | \(-0.268156\pi\) |
−0.979110 | + | 0.203334i | \(0.934822\pi\) | |||||||
\(572\) | −24.5885 | + | 14.1962i | −1.02810 | + | 0.593571i | ||||
\(573\) | 15.5885 | + | 9.00000i | 0.651217 | + | 0.375980i | ||||
\(574\) | −1.60770 | − | 0.928203i | −0.0671039 | − | 0.0387425i | ||||
\(575\) | 2.19615 | − | 1.26795i | 0.0915859 | − | 0.0528771i | ||||
\(576\) | −1.23205 | − | 2.13397i | −0.0513355 | − | 0.0889156i | ||||
\(577\) | 3.58846 | − | 2.07180i | 0.149389 | − | 0.0862500i | −0.423442 | − | 0.905923i | \(-0.639178\pi\) |
0.572831 | + | 0.819673i | \(0.305845\pi\) | |||||||
\(578\) | 14.0000i | 0.582323i | ||||||||
\(579\) | −7.68653 | − | 4.43782i | −0.319441 | − | 0.184430i | ||||
\(580\) | 3.69615 | + | 6.40192i | 0.153474 | + | 0.265825i | ||||
\(581\) | 46.6410 | 1.93500 | ||||||||
\(582\) | 3.80385 | 0.157675 | ||||||||
\(583\) | 6.00000 | + | 10.3923i | 0.248495 | + | 0.430405i | ||||
\(584\) | 12.3923i | 0.512797i | ||||||||
\(585\) | −12.8038 | + | 22.1769i | −0.529374 | + | 0.916903i | ||||
\(586\) | 25.3923i | 1.04895i | ||||||||
\(587\) | 19.0981 | + | 11.0263i | 0.788262 | + | 0.455103i | 0.839350 | − | 0.543591i | \(-0.182936\pi\) |
−0.0510884 | + | 0.998694i | \(0.516269\pi\) | |||||||
\(588\) | −3.29423 | + | 5.70577i | −0.135852 | + | 0.235302i | ||||
\(589\) | −0.803848 | + | 1.39230i | −0.0331220 | + | 0.0573689i | ||||
\(590\) | 3.80385 | − | 2.19615i | 0.156602 | − | 0.0904142i | ||||
\(591\) | −19.2679 | −0.792578 | ||||||||
\(592\) | −5.00000 | + | 3.46410i | −0.205499 | + | 0.142374i | ||||
\(593\) | 23.5359 | 0.966504 | 0.483252 | − | 0.875481i | \(-0.339456\pi\) | ||||
0.483252 | + | 0.875481i | \(0.339456\pi\) | |||||||
\(594\) | 16.3923 | − | 9.46410i | 0.672584 | − | 0.388317i | ||||
\(595\) | −6.00000 | + | 10.3923i | −0.245976 | + | 0.426043i | ||||
\(596\) | 1.96410 | − | 3.40192i | 0.0804527 | − | 0.139348i | ||||
\(597\) | −3.21539 | − | 1.85641i | −0.131597 | − | 0.0759777i | ||||
\(598\) | − | 7.60770i | − | 0.311102i | ||||||
\(599\) | −2.36603 | + | 4.09808i | −0.0966732 | + | 0.167443i | −0.910306 | − | 0.413937i | \(-0.864153\pi\) |
0.813633 | + | 0.581380i | \(0.197487\pi\) | |||||||
\(600\) | 1.46410i | 0.0597717i | ||||||||
\(601\) | 12.8923 | + | 22.3301i | 0.525888 | + | 0.910865i | 0.999545 | + | 0.0301556i | \(0.00960027\pi\) |
−0.473657 | + | 0.880709i | \(0.657066\pi\) | |||||||
\(602\) | −37.8564 | −1.54291 | ||||||||
\(603\) | −15.2679 | −0.621759 | ||||||||
\(604\) | −0.901924 | − | 1.56218i | −0.0366988 | − | 0.0635641i | ||||
\(605\) | −17.0885 | − | 9.86603i | −0.694745 | − | 0.401111i | ||||
\(606\) | 0.339746i | 0.0138012i | ||||||||
\(607\) | 1.68653 | − | 0.973721i | 0.0684543 | − | 0.0395221i | −0.465382 | − | 0.885110i | \(-0.654083\pi\) |
0.533836 | + | 0.845588i | \(0.320750\pi\) | |||||||
\(608\) | 0.633975 | + | 1.09808i | 0.0257111 | + | 0.0445329i | ||||
\(609\) | 10.8231 | − | 6.24871i | 0.438574 | − | 0.253211i | ||||
\(610\) | −21.9904 | − | 12.6962i | −0.890365 | − | 0.514052i | ||||
\(611\) | −60.5885 | − | 34.9808i | −2.45115 | − | 1.41517i | ||||
\(612\) | −3.69615 | + | 2.13397i | −0.149408 | + | 0.0862608i | ||||
\(613\) | −6.30385 | − | 10.9186i | −0.254610 | − | 0.440997i | 0.710180 | − | 0.704021i | \(-0.248614\pi\) |
−0.964790 | + | 0.263023i | \(0.915280\pi\) | |||||||
\(614\) | −3.46410 | + | 2.00000i | −0.139800 | + | 0.0807134i | ||||
\(615\) | − | 0.588457i | − | 0.0237289i | ||||||
\(616\) | 16.3923 | + | 9.46410i | 0.660465 | + | 0.381320i | ||||
\(617\) | −11.6603 | − | 20.1962i | −0.469424 | − | 0.813066i | 0.529965 | − | 0.848020i | \(-0.322205\pi\) |
−0.999389 | + | 0.0349532i | \(0.988872\pi\) | |||||||
\(618\) | 5.07180 | 0.204018 | ||||||||
\(619\) | 21.1769 | 0.851172 | 0.425586 | − | 0.904918i | \(-0.360068\pi\) | ||||
0.425586 | + | 0.904918i | \(0.360068\pi\) | |||||||
\(620\) | 1.09808 | + | 1.90192i | 0.0440998 | + | 0.0763831i | ||||
\(621\) | 5.07180i | 0.203524i | ||||||||
\(622\) | 8.19615 | − | 14.1962i | 0.328636 | − | 0.569214i | ||||
\(623\) | 20.7846i | 0.832718i | ||||||||
\(624\) | 3.80385 | + | 2.19615i | 0.152276 | + | 0.0879165i | ||||
\(625\) | 5.50000 | − | 9.52628i | 0.220000 | − | 0.381051i | ||||
\(626\) | 10.7942 | − | 18.6962i | 0.431424 | − | 0.747249i | ||||
\(627\) | −3.80385 | + | 2.19615i | −0.151911 | + | 0.0877059i | ||||
\(628\) | 9.39230 | 0.374794 | ||||||||
\(629\) | 6.00000 | + | 8.66025i | 0.239236 | + | 0.345307i | ||||
\(630\) | 17.0718 | 0.680157 | ||||||||
\(631\) | −25.6865 | + | 14.8301i | −1.02256 | + | 0.590378i | −0.914846 | − | 0.403803i | \(-0.867688\pi\) |
−0.107719 | + | 0.994181i | \(0.534355\pi\) | |||||||
\(632\) | −4.09808 | + | 7.09808i | −0.163013 | + | 0.282346i | ||||
\(633\) | 4.53590 | − | 7.85641i | 0.180286 | − | 0.312264i | ||||
\(634\) | −7.79423 | − | 4.50000i | −0.309548 | − | 0.178718i | ||||
\(635\) | − | 18.3397i | − | 0.727791i | ||||||
\(636\) | 0.928203 | − | 1.60770i | 0.0368057 | − | 0.0637493i | ||||
\(637\) | 54.0000i | 2.13956i | ||||||||
\(638\) | −10.0981 | − | 17.4904i | −0.399787 | − | 0.692451i | ||||
\(639\) | −6.24871 | −0.247195 | ||||||||
\(640\) | 1.73205 | 0.0684653 | ||||||||
\(641\) | 9.57180 | + | 16.5788i | 0.378063 | + | 0.654825i | 0.990780 | − | 0.135478i | \(-0.0432569\pi\) |
−0.612717 | + | 0.790302i | \(0.709924\pi\) | |||||||
\(642\) | −10.3923 | − | 6.00000i | −0.410152 | − | 0.236801i | ||||
\(643\) | 15.1244i | 0.596446i | 0.954496 | + | 0.298223i | \(0.0963940\pi\) | ||||
−0.954496 | + | 0.298223i | \(0.903606\pi\) | |||||||
\(644\) | −4.39230 | + | 2.53590i | −0.173081 | + | 0.0999284i | ||||
\(645\) | −6.00000 | − | 10.3923i | −0.236250 | − | 0.409197i | ||||
\(646\) | 1.90192 | − | 1.09808i | 0.0748302 | − | 0.0432032i | ||||
\(647\) | 2.19615 | + | 1.26795i | 0.0863397 | + | 0.0498482i | 0.542548 | − | 0.840025i | \(-0.317460\pi\) |
−0.456209 | + | 0.889873i | \(0.650793\pi\) | |||||||
\(648\) | 3.86603 | + | 2.23205i | 0.151872 | + | 0.0876832i | ||||
\(649\) | −10.3923 | + | 6.00000i | −0.407934 | + | 0.235521i | ||||
\(650\) | 6.00000 | + | 10.3923i | 0.235339 | + | 0.407620i | ||||
\(651\) | 3.21539 | − | 1.85641i | 0.126021 | − | 0.0727583i | ||||
\(652\) | 2.53590i | 0.0993134i | ||||||||
\(653\) | −14.8923 | − | 8.59808i | −0.582781 | − | 0.336469i | 0.179457 | − | 0.983766i | \(-0.442566\pi\) |
−0.762238 | + | 0.647297i | \(0.775899\pi\) | |||||||
\(654\) | 2.83013 | + | 4.90192i | 0.110667 | + | 0.191680i | ||||
\(655\) | 14.1962 | 0.554690 | ||||||||
\(656\) | 0.464102 | 0.0181201 | ||||||||
\(657\) | −15.2679 | − | 26.4449i | −0.595659 | − | 1.03171i | ||||
\(658\) | 46.6410i | 1.81826i | ||||||||
\(659\) | −10.7321 | + | 18.5885i | −0.418061 | + | 0.724103i | −0.995744 | − | 0.0921577i | \(-0.970624\pi\) |
0.577683 | + | 0.816261i | \(0.303957\pi\) | |||||||
\(660\) | 6.00000i | 0.233550i | ||||||||
\(661\) | −16.2846 | − | 9.40192i | −0.633398 | − | 0.365692i | 0.148669 | − | 0.988887i | \(-0.452501\pi\) |
−0.782067 | + | 0.623195i | \(0.785834\pi\) | |||||||
\(662\) | −15.4641 | + | 26.7846i | −0.601029 | + | 1.04101i | ||||
\(663\) | 3.80385 | − | 6.58846i | 0.147729 | − | 0.255874i | ||||
\(664\) | −10.0981 | + | 5.83013i | −0.391881 | + | 0.226253i | ||||
\(665\) | −8.78461 | −0.340653 | ||||||||
\(666\) | 6.40192 | − | 13.5526i | 0.248070 | − | 0.525151i | ||||
\(667\) | 5.41154 | 0.209536 | ||||||||
\(668\) | −6.00000 | + | 3.46410i | −0.232147 | + | 0.134030i | ||||
\(669\) | −8.26795 | + | 14.3205i | −0.319657 | + | 0.553663i | ||||
\(670\) | 5.36603 | − | 9.29423i | 0.207308 | − | 0.359067i | ||||
\(671\) | 60.0788 | + | 34.6865i | 2.31932 | + | 1.33906i | ||||
\(672\) | − | 2.92820i | − | 0.112958i | ||||||
\(673\) | −4.19615 | + | 7.26795i | −0.161750 | + | 0.280159i | −0.935496 | − | 0.353336i | \(-0.885047\pi\) |
0.773747 | + | 0.633495i | \(0.218380\pi\) | |||||||
\(674\) | − | 7.00000i | − | 0.269630i | ||||||
\(675\) | −4.00000 | − | 6.92820i | −0.153960 | − | 0.266667i | ||||
\(676\) | 23.0000 | 0.884615 | ||||||||
\(677\) | 34.8564 | 1.33964 | 0.669820 | − | 0.742523i | \(-0.266371\pi\) | ||||
0.669820 | + | 0.742523i | \(0.266371\pi\) | |||||||
\(678\) | −7.26795 | − | 12.5885i | −0.279124 | − | 0.483457i | ||||
\(679\) | −18.0000 | − | 10.3923i | −0.690777 | − | 0.398820i | ||||
\(680\) | − | 3.00000i | − | 0.115045i | ||||||
\(681\) | −0.803848 | + | 0.464102i | −0.0308035 | + | 0.0177844i | ||||
\(682\) | −3.00000 | − | 5.19615i | −0.114876 | − | 0.198971i | ||||
\(683\) | −14.7846 | + | 8.53590i | −0.565717 | + | 0.326617i | −0.755437 | − | 0.655221i | \(-0.772575\pi\) |
0.189720 | + | 0.981838i | \(0.439242\pi\) | |||||||
\(684\) | −2.70577 | − | 1.56218i | −0.103458 | − | 0.0597314i | ||||
\(685\) | 20.0885 | + | 11.5981i | 0.767540 | + | 0.443140i | ||||
\(686\) | 6.92820 | − | 4.00000i | 0.264520 | − | 0.152721i | ||||
\(687\) | −6.95448 | − | 12.0455i | −0.265330 | − | 0.459565i | ||||
\(688\) | 8.19615 | − | 4.73205i | 0.312475 | − | 0.180408i | ||||
\(689\) | − | 15.2154i | − | 0.579660i | ||||||
\(690\) | −1.39230 | − | 0.803848i | −0.0530041 | − | 0.0306020i | ||||
\(691\) | 11.0981 | + | 19.2224i | 0.422191 | + | 0.731256i | 0.996153 | − | 0.0876256i | \(-0.0279279\pi\) |
−0.573963 | + | 0.818881i | \(0.694595\pi\) | |||||||
\(692\) | 9.92820 | 0.377414 | ||||||||
\(693\) | −46.6410 | −1.77175 | ||||||||
\(694\) | 5.02628 | + | 8.70577i | 0.190795 | + | 0.330467i | ||||
\(695\) | 3.12436i | 0.118514i | ||||||||
\(696\) | −1.56218 | + | 2.70577i | −0.0592142 | + | 0.102562i | ||||
\(697\) | − | 0.803848i | − | 0.0304479i | ||||||
\(698\) | 5.72243 | + | 3.30385i | 0.216597 | + | 0.125052i | ||||
\(699\) | −1.68653 | + | 2.92116i | −0.0637906 | + | 0.110488i | ||||
\(700\) | 4.00000 | − | 6.92820i | 0.151186 | − | 0.261861i | ||||
\(701\) | 1.60770 | − | 0.928203i | 0.0607218 | − | 0.0350578i | −0.469332 | − | 0.883022i | \(-0.655505\pi\) |
0.530054 | + | 0.847964i | \(0.322172\pi\) | |||||||
\(702\) | −24.0000 | −0.905822 | ||||||||
\(703\) | −3.29423 | + | 6.97372i | −0.124244 | + | 0.263019i | ||||
\(704\) | −4.73205 | −0.178346 | ||||||||
\(705\) | −12.8038 | + | 7.39230i | −0.482221 | + | 0.278410i | ||||
\(706\) | 15.0622 | − | 26.0885i | 0.566873 | − | 0.981852i | ||||
\(707\) | 0.928203 | − | 1.60770i | 0.0349087 | − | 0.0604636i | ||||
\(708\) | 1.60770 | + | 0.928203i | 0.0604209 | + | 0.0348840i | ||||
\(709\) | − | 30.0000i | − | 1.12667i | −0.826227 | − | 0.563337i | \(-0.809517\pi\) | ||
0.826227 | − | 0.563337i | \(-0.190483\pi\) | |||||||
\(710\) | 2.19615 | − | 3.80385i | 0.0824201 | − | 0.142756i | ||||
\(711\) | − | 20.1962i | − | 0.757415i | ||||||
\(712\) | −2.59808 | − | 4.50000i | −0.0973670 | − | 0.168645i | ||||
\(713\) | 1.60770 | 0.0602087 | ||||||||
\(714\) | −5.07180 | −0.189807 | ||||||||
\(715\) | 24.5885 | + | 42.5885i | 0.919556 | + | 1.59272i | ||||
\(716\) | −9.80385 | − | 5.66025i | −0.366387 | − | 0.211534i | ||||
\(717\) | 3.71281i | 0.138658i | ||||||||
\(718\) | 28.9808 | − | 16.7321i | 1.08155 | − | 0.624435i | ||||
\(719\) | 16.2224 | + | 28.0981i | 0.604995 | + | 1.04788i | 0.992052 | + | 0.125826i | \(0.0401581\pi\) |
−0.387058 | + | 0.922055i | \(0.626509\pi\) | |||||||
\(720\) | −3.69615 | + | 2.13397i | −0.137747 | + | 0.0795285i | ||||
\(721\) | −24.0000 | − | 13.8564i | −0.893807 | − | 0.516040i | ||||
\(722\) | −15.0622 | − | 8.69615i | −0.560556 | − | 0.323637i | ||||
\(723\) | −11.4115 | + | 6.58846i | −0.424400 | + | 0.245027i | ||||
\(724\) | −7.69615 | − | 13.3301i | −0.286025 | − | 0.495410i | ||||
\(725\) | −7.39230 | + | 4.26795i | −0.274543 | + | 0.158508i | ||||
\(726\) | − | 8.33975i | − | 0.309517i | ||||||
\(727\) | −1.60770 | − | 0.928203i | −0.0596261 | − | 0.0344252i | 0.469891 | − | 0.882725i | \(-0.344293\pi\) |
−0.529517 | + | 0.848300i | \(0.677627\pi\) | |||||||
\(728\) | −12.0000 | − | 20.7846i | −0.444750 | − | 0.770329i | ||||
\(729\) | −2.21539 | −0.0820515 | ||||||||
\(730\) | 21.4641 | 0.794422 | ||||||||
\(731\) | −8.19615 | − | 14.1962i | −0.303146 | − | 0.525064i | ||||
\(732\) | − | 10.7321i | − | 0.396668i | ||||||
\(733\) | −7.80385 | + | 13.5167i | −0.288242 | + | 0.499249i | −0.973390 | − | 0.229154i | \(-0.926404\pi\) |
0.685148 | + | 0.728403i | \(0.259737\pi\) | |||||||
\(734\) | 0.392305i | 0.0144802i | ||||||||
\(735\) | 9.88269 | + | 5.70577i | 0.364528 | + | 0.210461i | ||||
\(736\) | 0.633975 | − | 1.09808i | 0.0233686 | − | 0.0404756i | ||||
\(737\) | −14.6603 | + | 25.3923i | −0.540017 | + | 0.935338i | ||||
\(738\) | −0.990381 | + | 0.571797i | −0.0364564 | + | 0.0210481i | ||||
\(739\) | 6.98076 | 0.256791 | 0.128396 | − | 0.991723i | \(-0.459017\pi\) | ||||
0.128396 | + | 0.991723i | \(0.459017\pi\) | |||||||
\(740\) | 6.00000 | + | 8.66025i | 0.220564 | + | 0.318357i | ||||
\(741\) | 5.56922 | 0.204590 | ||||||||
\(742\) | −8.78461 | + | 5.07180i | −0.322493 | + | 0.186192i | ||||
\(743\) | 20.9545 | − | 36.2942i | 0.768745 | − | 1.33151i | −0.169498 | − | 0.985531i | \(-0.554215\pi\) |
0.938244 | − | 0.345976i | \(-0.112452\pi\) | |||||||
\(744\) | −0.464102 | + | 0.803848i | −0.0170148 | + | 0.0294705i | ||||
\(745\) | −5.89230 | − | 3.40192i | −0.215877 | − | 0.124637i | ||||
\(746\) | − | 19.7846i | − | 0.724366i | ||||||
\(747\) | 14.3660 | − | 24.8827i | 0.525625 | − | 0.910410i | ||||
\(748\) | 8.19615i | 0.299681i | ||||||||
\(749\) | 32.7846 | + | 56.7846i | 1.19792 | + | 2.07486i | ||||
\(750\) | 8.87564 | 0.324093 | ||||||||
\(751\) | −36.3923 | −1.32797 | −0.663987 | − | 0.747744i | \(-0.731137\pi\) | ||||
−0.663987 | + | 0.747744i | \(0.731137\pi\) | |||||||
\(752\) | −5.83013 | − | 10.0981i | −0.212603 | − | 0.368239i | ||||
\(753\) | −3.21539 | − | 1.85641i | −0.117175 | − | 0.0676512i | ||||
\(754\) | 25.6077i | 0.932577i | ||||||||
\(755\) | −2.70577 | + | 1.56218i | −0.0984731 | + | 0.0568535i | ||||
\(756\) | 8.00000 | + | 13.8564i | 0.290957 | + | 0.503953i | ||||
\(757\) | 3.69615 | − | 2.13397i | 0.134339 | − | 0.0775606i | −0.431324 | − | 0.902197i | \(-0.641954\pi\) |
0.565663 | + | 0.824636i | \(0.308620\pi\) | |||||||
\(758\) | −21.4641 | − | 12.3923i | −0.779611 | − | 0.450109i | ||||
\(759\) | 3.80385 | + | 2.19615i | 0.138071 | + | 0.0797153i | ||||
\(760\) | 1.90192 | − | 1.09808i | 0.0689900 | − | 0.0398314i | ||||
\(761\) | −16.1603 | − | 27.9904i | −0.585809 | − | 1.01465i | −0.994774 | − | 0.102101i | \(-0.967444\pi\) |
0.408965 | − | 0.912550i | \(-0.365890\pi\) | |||||||
\(762\) | 6.71281 | − | 3.87564i | 0.243180 | − | 0.140400i | ||||
\(763\) | − | 30.9282i | − | 1.11968i | ||||||
\(764\) | 21.2942 | + | 12.2942i | 0.770398 | + | 0.444790i | ||||
\(765\) | 3.69615 | + | 6.40192i | 0.133635 | + | 0.231462i | ||||
\(766\) | 25.8564 | 0.934230 | ||||||||
\(767\) | 15.2154 | 0.549396 | ||||||||
\(768\) | 0.366025 | + | 0.633975i | 0.0132078 | + | 0.0228766i | ||||
\(769\) | 21.7128i | 0.782984i | 0.920181 | + | 0.391492i | \(0.128041\pi\) | ||||
−0.920181 | + | 0.391492i | \(0.871959\pi\) | |||||||
\(770\) | 16.3923 | − | 28.3923i | 0.590738 | − | 1.02319i | ||||
\(771\) | − | 8.19615i | − | 0.295177i | ||||||
\(772\) | −10.5000 | − | 6.06218i | −0.377903 | − | 0.218183i | ||||
\(773\) | 10.9641 | − | 18.9904i | 0.394351 | − | 0.683037i | −0.598667 | − | 0.800998i |