Newspace parameters
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.h (of order \(58\), degree \(28\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(1064\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 5.8 | ||
Character | \(\chi\) | \(=\) | 177.5 |
Dual form | 177.3.h.a.71.8 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{3}{29}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.892372 | + | 2.64847i | −0.446186 | + | 1.32423i | 0.454881 | + | 0.890552i | \(0.349682\pi\) |
−0.901067 | + | 0.433681i | \(0.857215\pi\) | |||||||
\(3\) | 0.713097 | − | 2.91402i | 0.237699 | − | 0.971339i | ||||
\(4\) | −3.03367 | − | 2.30614i | −0.758418 | − | 0.576534i | ||||
\(5\) | −2.87136 | − | 1.14405i | −0.574271 | − | 0.228811i | 0.0648781 | − | 0.997893i | \(-0.479334\pi\) |
−0.639149 | + | 0.769083i | \(0.720713\pi\) | |||||||
\(6\) | 7.08133 | + | 4.48900i | 1.18022 | + | 0.748167i | ||||
\(7\) | 2.33765 | − | 1.08151i | 0.333951 | − | 0.154502i | −0.245746 | − | 0.969334i | \(-0.579033\pi\) |
0.579697 | + | 0.814832i | \(0.303171\pi\) | |||||||
\(8\) | −0.437890 | + | 0.296897i | −0.0547362 | + | 0.0371121i | ||||
\(9\) | −7.98299 | − | 4.15595i | −0.886998 | − | 0.461772i | ||||
\(10\) | 5.59230 | − | 6.58377i | 0.559230 | − | 0.658377i | ||||
\(11\) | −5.90871 | − | 1.64054i | −0.537155 | − | 0.149140i | −0.0116521 | − | 0.999932i | \(-0.503709\pi\) |
−0.525503 | + | 0.850792i | \(0.676123\pi\) | |||||||
\(12\) | −8.88342 | + | 7.19567i | −0.740285 | + | 0.599639i | ||||
\(13\) | 11.2971 | − | 21.3085i | 0.869006 | − | 1.63912i | 0.104479 | − | 0.994527i | \(-0.466682\pi\) |
0.764527 | − | 0.644592i | \(-0.222973\pi\) | |||||||
\(14\) | 0.778296 | + | 7.15631i | 0.0555925 | + | 0.511165i | ||||
\(15\) | −5.38134 | + | 7.55136i | −0.358756 | + | 0.503424i | ||||
\(16\) | −4.47344 | − | 16.1119i | −0.279590 | − | 1.00699i | ||||
\(17\) | 8.75474 | − | 18.9231i | 0.514985 | − | 1.11312i | −0.459399 | − | 0.888230i | \(-0.651935\pi\) |
0.974384 | − | 0.224891i | \(-0.0722027\pi\) | |||||||
\(18\) | 18.1307 | − | 17.4340i | 1.00726 | − | 0.968556i | ||||
\(19\) | 1.82985 | − | 0.402779i | 0.0963076 | − | 0.0211989i | −0.166555 | − | 0.986032i | \(-0.553264\pi\) |
0.262863 | + | 0.964833i | \(0.415333\pi\) | |||||||
\(20\) | 6.07241 | + | 10.0924i | 0.303620 | + | 0.504621i | ||||
\(21\) | −1.48458 | − | 7.58319i | −0.0706941 | − | 0.361104i | ||||
\(22\) | 9.61769 | − | 14.1850i | 0.437168 | − | 0.644774i | ||||
\(23\) | −21.5222 | − | 3.52838i | −0.935747 | − | 0.153408i | −0.325431 | − | 0.945566i | \(-0.605509\pi\) |
−0.610316 | + | 0.792158i | \(0.708958\pi\) | |||||||
\(24\) | 0.552904 | + | 1.48773i | 0.0230377 | + | 0.0619889i | ||||
\(25\) | −11.2141 | − | 10.6225i | −0.448562 | − | 0.424901i | ||||
\(26\) | 46.3538 | + | 48.9351i | 1.78284 | + | 1.88212i | ||||
\(27\) | −17.8032 | + | 20.2990i | −0.659376 | + | 0.751813i | ||||
\(28\) | −9.58579 | − | 2.10999i | −0.342350 | − | 0.0753569i | ||||
\(29\) | 2.19392 | + | 6.51131i | 0.0756523 | + | 0.224528i | 0.978806 | − | 0.204789i | \(-0.0656508\pi\) |
−0.903154 | + | 0.429317i | \(0.858754\pi\) | |||||||
\(30\) | −15.1974 | − | 20.9909i | −0.506579 | − | 0.699698i | ||||
\(31\) | 44.5980 | + | 9.81675i | 1.43864 | + | 0.316669i | 0.864726 | − | 0.502243i | \(-0.167492\pi\) |
0.573918 | + | 0.818913i | \(0.305423\pi\) | |||||||
\(32\) | 44.5506 | + | 2.41546i | 1.39221 | + | 0.0754833i | ||||
\(33\) | −8.99405 | + | 16.0482i | −0.272547 | + | 0.486309i | ||||
\(34\) | 42.3046 | + | 40.0730i | 1.24425 | + | 1.17862i | ||||
\(35\) | −7.94955 | + | 0.431012i | −0.227130 | + | 0.0123146i | ||||
\(36\) | 14.6336 | + | 31.0177i | 0.406488 | + | 0.861601i | ||||
\(37\) | −32.5155 | + | 47.9568i | −0.878798 | + | 1.29613i | 0.0754617 | + | 0.997149i | \(0.475957\pi\) |
−0.954259 | + | 0.298981i | \(0.903353\pi\) | |||||||
\(38\) | −0.566155 | + | 5.20571i | −0.0148988 | + | 0.136992i | ||||
\(39\) | −54.0376 | − | 48.1149i | −1.38558 | − | 1.23372i | ||||
\(40\) | 1.59700 | − | 0.351527i | 0.0399251 | − | 0.00878817i | ||||
\(41\) | 4.66989 | − | 0.765589i | 0.113900 | − | 0.0186729i | −0.104563 | − | 0.994518i | \(-0.533344\pi\) |
0.218462 | + | 0.975845i | \(0.429896\pi\) | |||||||
\(42\) | 21.4086 | + | 2.83518i | 0.509729 | + | 0.0675042i | ||||
\(43\) | −12.9179 | − | 46.5262i | −0.300417 | − | 1.08201i | −0.947545 | − | 0.319623i | \(-0.896444\pi\) |
0.647127 | − | 0.762382i | \(-0.275970\pi\) | |||||||
\(44\) | 14.1418 | + | 18.6032i | 0.321403 | + | 0.422799i | ||||
\(45\) | 18.1674 | + | 21.0662i | 0.403719 | + | 0.468137i | ||||
\(46\) | 28.5506 | − | 53.8521i | 0.620665 | − | 1.17070i | ||||
\(47\) | 22.9848 | − | 9.15799i | 0.489039 | − | 0.194851i | −0.112567 | − | 0.993644i | \(-0.535907\pi\) |
0.601606 | + | 0.798793i | \(0.294528\pi\) | |||||||
\(48\) | −50.1403 | + | 1.54635i | −1.04459 | + | 0.0322156i | ||||
\(49\) | −27.4270 | + | 32.2895i | −0.559734 | + | 0.658970i | ||||
\(50\) | 38.1405 | − | 20.2208i | 0.762810 | − | 0.404416i | ||||
\(51\) | −48.8991 | − | 39.0054i | −0.958806 | − | 0.764812i | ||||
\(52\) | −83.4120 | + | 38.5905i | −1.60408 | + | 0.742125i | ||||
\(53\) | −4.66273 | + | 3.96056i | −0.0879761 | + | 0.0747276i | −0.690295 | − | 0.723528i | \(-0.742519\pi\) |
0.602319 | + | 0.798255i | \(0.294243\pi\) | |||||||
\(54\) | −37.8741 | − | 65.2653i | −0.701371 | − | 1.20862i | ||||
\(55\) | 15.0891 | + | 11.4705i | 0.274348 | + | 0.208554i | ||||
\(56\) | −0.702537 | + | 1.16763i | −0.0125453 | + | 0.0208504i | ||||
\(57\) | 0.131151 | − | 5.61942i | 0.00230090 | − | 0.0985863i | ||||
\(58\) | −19.2028 | −0.331082 | ||||||||
\(59\) | −5.88414 | − | 58.7059i | −0.0997312 | − | 0.995014i | ||||
\(60\) | 33.7397 | − | 10.4982i | 0.562328 | − | 0.174970i | ||||
\(61\) | 3.40546 | + | 1.14743i | 0.0558273 | + | 0.0188104i | 0.347077 | − | 0.937837i | \(-0.387174\pi\) |
−0.291249 | + | 0.956647i | \(0.594071\pi\) | |||||||
\(62\) | −65.7973 | + | 109.356i | −1.06125 | + | 1.76381i | ||||
\(63\) | −23.1562 | − | 1.08147i | −0.367558 | − | 0.0171662i | ||||
\(64\) | −21.3961 | + | 53.7003i | −0.334315 | + | 0.839067i | ||||
\(65\) | −56.8160 | + | 48.2600i | −0.874093 | + | 0.742461i | ||||
\(66\) | −34.4771 | − | 38.1414i | −0.522380 | − | 0.577900i | ||||
\(67\) | 27.0774 | + | 39.9362i | 0.404141 | + | 0.596063i | 0.974240 | − | 0.225513i | \(-0.0724057\pi\) |
−0.570100 | + | 0.821576i | \(0.693095\pi\) | |||||||
\(68\) | −70.1982 | + | 37.2167i | −1.03233 | + | 0.547305i | ||||
\(69\) | −25.6292 | + | 60.1999i | −0.371437 | + | 0.872462i | ||||
\(70\) | 5.95243 | − | 21.4387i | 0.0850348 | − | 0.306268i | ||||
\(71\) | −32.5806 | + | 12.9813i | −0.458881 | + | 0.182835i | −0.588112 | − | 0.808779i | \(-0.700129\pi\) |
0.129231 | + | 0.991615i | \(0.458749\pi\) | |||||||
\(72\) | 4.72955 | − | 0.550272i | 0.0656883 | − | 0.00764267i | ||||
\(73\) | 20.7357 | − | 2.25515i | 0.284051 | − | 0.0308924i | 0.0350157 | − | 0.999387i | \(-0.488852\pi\) |
0.249036 | + | 0.968494i | \(0.419886\pi\) | |||||||
\(74\) | −97.9960 | − | 128.912i | −1.32427 | − | 1.74205i | ||||
\(75\) | −38.9509 | + | 25.1031i | −0.519345 | + | 0.334708i | ||||
\(76\) | −6.48001 | − | 2.99797i | −0.0852633 | − | 0.0394470i | ||||
\(77\) | −15.5868 | + | 2.55532i | −0.202426 | + | 0.0331860i | ||||
\(78\) | 175.652 | − | 100.180i | 2.25195 | − | 1.28436i | ||||
\(79\) | −82.7374 | + | 49.7814i | −1.04731 | + | 0.630144i | −0.931729 | − | 0.363154i | \(-0.881700\pi\) |
−0.115579 | + | 0.993298i | \(0.536872\pi\) | |||||||
\(80\) | −5.58800 | + | 51.3808i | −0.0698500 | + | 0.642260i | ||||
\(81\) | 46.4561 | + | 66.3538i | 0.573532 | + | 0.819183i | ||||
\(82\) | −2.13964 | + | 13.0512i | −0.0260932 | + | 0.159161i | ||||
\(83\) | 104.552 | − | 5.66863i | 1.25966 | − | 0.0682968i | 0.587819 | − | 0.808992i | \(-0.299987\pi\) |
0.671841 | + | 0.740695i | \(0.265504\pi\) | |||||||
\(84\) | −12.9842 | + | 26.4285i | −0.154573 | + | 0.314625i | ||||
\(85\) | −46.7870 | + | 44.3190i | −0.550435 | + | 0.521399i | ||||
\(86\) | 134.751 | + | 7.30597i | 1.56687 | + | 0.0849532i | ||||
\(87\) | 20.5385 | − | 1.74991i | 0.236075 | − | 0.0201139i | ||||
\(88\) | 3.07443 | − | 1.03590i | 0.0349367 | − | 0.0117716i | ||||
\(89\) | 6.55624 | + | 19.4582i | 0.0736656 | + | 0.218632i | 0.978160 | − | 0.207854i | \(-0.0666479\pi\) |
−0.904494 | + | 0.426486i | \(0.859751\pi\) | |||||||
\(90\) | −72.0051 | + | 29.3168i | −0.800057 | + | 0.325742i | ||||
\(91\) | 3.36317 | − | 62.0300i | 0.0369579 | − | 0.681648i | ||||
\(92\) | 57.1543 | + | 60.3370i | 0.621242 | + | 0.655837i | ||||
\(93\) | 60.4089 | − | 122.959i | 0.649558 | − | 1.32214i | ||||
\(94\) | 3.74361 | + | 69.0468i | 0.0398256 | + | 0.734541i | ||||
\(95\) | −5.71494 | − | 0.936917i | −0.0601572 | − | 0.00986228i | ||||
\(96\) | 38.8076 | − | 128.099i | 0.404246 | − | 1.33436i | ||||
\(97\) | −83.6208 | − | 9.09430i | −0.862070 | − | 0.0937557i | −0.333607 | − | 0.942712i | \(-0.608266\pi\) |
−0.528463 | + | 0.848957i | \(0.677231\pi\) | |||||||
\(98\) | −61.0427 | − | 101.454i | −0.622884 | − | 1.03524i | ||||
\(99\) | 40.3511 | + | 37.6527i | 0.407587 | + | 0.380331i | ||||
\(100\) | 9.52278 | + | 58.0864i | 0.0952278 | + | 0.580864i | ||||
\(101\) | 73.0548 | − | 157.905i | 0.723315 | − | 1.56342i | −0.0994537 | − | 0.995042i | \(-0.531710\pi\) |
0.822768 | − | 0.568377i | \(-0.192428\pi\) | |||||||
\(102\) | 146.941 | − | 94.7003i | 1.44060 | − | 0.928434i | ||||
\(103\) | 98.8081 | − | 75.1120i | 0.959302 | − | 0.729242i | −0.00334714 | − | 0.999994i | \(-0.501065\pi\) |
0.962649 | + | 0.270752i | \(0.0872723\pi\) | |||||||
\(104\) | 1.37956 | + | 12.6849i | 0.0132650 | + | 0.121970i | ||||
\(105\) | −4.41282 | + | 23.4725i | −0.0420269 | + | 0.223547i | ||||
\(106\) | −6.32852 | − | 15.8834i | −0.0597030 | − | 0.149843i | ||||
\(107\) | 159.735 | + | 44.3501i | 1.49285 | + | 0.414487i | 0.915603 | − | 0.402084i | \(-0.131714\pi\) |
0.577245 | + | 0.816571i | \(0.304128\pi\) | |||||||
\(108\) | 100.821 | − | 20.5238i | 0.933529 | − | 0.190036i | ||||
\(109\) | 14.4971 | + | 27.3444i | 0.133001 | + | 0.250866i | 0.941063 | − | 0.338231i | \(-0.109828\pi\) |
−0.808062 | + | 0.589097i | \(0.799484\pi\) | |||||||
\(110\) | −43.8442 | + | 29.7271i | −0.398584 | + | 0.270247i | ||||
\(111\) | 116.560 | + | 128.949i | 1.05009 | + | 1.16170i | ||||
\(112\) | −27.8826 | − | 32.8259i | −0.248952 | − | 0.293088i | ||||
\(113\) | 38.4138 | + | 15.3055i | 0.339945 | + | 0.135447i | 0.533862 | − | 0.845571i | \(-0.320740\pi\) |
−0.193917 | + | 0.981018i | \(0.562119\pi\) | |||||||
\(114\) | 14.7658 | + | 5.36196i | 0.129525 | + | 0.0470348i | ||||
\(115\) | 57.7612 | + | 34.7538i | 0.502271 | + | 0.302207i | ||||
\(116\) | 8.36035 | − | 24.8126i | 0.0720720 | − | 0.213902i | ||||
\(117\) | −178.742 | + | 123.156i | −1.52771 | + | 1.05261i | ||||
\(118\) | 160.731 | + | 36.8035i | 1.36213 | + | 0.311894i | ||||
\(119\) | − | 53.7039i | − | 0.451294i | ||||||
\(120\) | 0.114462 | − | 4.90436i | 0.000953854 | − | 0.0408697i | ||||
\(121\) | −71.4583 | − | 42.9950i | −0.590564 | − | 0.355331i | ||||
\(122\) | −6.07788 | + | 7.99531i | −0.0498187 | + | 0.0655354i | ||||
\(123\) | 1.09914 | − | 14.1541i | 0.00893611 | − | 0.115074i | ||||
\(124\) | −112.657 | − | 132.630i | −0.908522 | − | 1.06960i | ||||
\(125\) | 52.4925 | + | 113.461i | 0.419940 | + | 0.907686i | ||||
\(126\) | 23.5282 | − | 60.3633i | 0.186731 | − | 0.479074i | ||||
\(127\) | 67.2804 | + | 126.904i | 0.529767 | + | 0.999247i | 0.993560 | + | 0.113303i | \(0.0361432\pi\) |
−0.463793 | + | 0.885943i | \(0.653512\pi\) | |||||||
\(128\) | 12.8887 | + | 10.9477i | 0.100693 | + | 0.0855292i | ||||
\(129\) | −144.790 | + | 4.46539i | −1.12240 | + | 0.0346155i | ||||
\(130\) | −77.1139 | − | 193.541i | −0.593184 | − | 1.48878i | ||||
\(131\) | −131.894 | − | 69.9259i | −1.00683 | − | 0.533785i | −0.118478 | − | 0.992957i | \(-0.537802\pi\) |
−0.888348 | + | 0.459171i | \(0.848146\pi\) | |||||||
\(132\) | 64.2944 | − | 27.9434i | 0.487078 | − | 0.211693i | ||||
\(133\) | 3.84193 | − | 2.92056i | 0.0288867 | − | 0.0219591i | ||||
\(134\) | −129.933 | + | 36.0757i | −0.969648 | + | 0.269221i | ||||
\(135\) | 74.3423 | − | 37.9178i | 0.550684 | − | 0.280872i | ||||
\(136\) | 1.78458 | + | 10.8855i | 0.0131219 | + | 0.0800402i | ||||
\(137\) | 6.31632 | + | 28.6953i | 0.0461045 | + | 0.209455i | 0.994041 | − | 0.109003i | \(-0.0347659\pi\) |
−0.947937 | + | 0.318458i | \(0.896835\pi\) | |||||||
\(138\) | −136.567 | − | 121.599i | −0.989613 | − | 0.881150i | ||||
\(139\) | 155.999 | + | 16.9659i | 1.12229 | + | 0.122057i | 0.650396 | − | 0.759596i | \(-0.274603\pi\) |
0.471899 | + | 0.881653i | \(0.343569\pi\) | |||||||
\(140\) | 25.1103 | + | 17.0252i | 0.179359 | + | 0.121609i | ||||
\(141\) | −10.2961 | − | 73.5087i | −0.0730222 | − | 0.521338i | ||||
\(142\) | −5.30650 | − | 97.8727i | −0.0373697 | − | 0.689244i | ||||
\(143\) | −101.709 | + | 107.373i | −0.711250 | + | 0.750857i | ||||
\(144\) | −31.2488 | + | 147.212i | −0.217005 | + | 1.02231i | ||||
\(145\) | 1.14977 | − | 21.2063i | 0.00792945 | − | 0.146250i | ||||
\(146\) | −12.5313 | + | 56.9303i | −0.0858309 | + | 0.389934i | ||||
\(147\) | 74.5341 | + | 102.948i | 0.507035 | + | 0.700328i | ||||
\(148\) | 209.236 | − | 70.4999i | 1.41376 | − | 0.476351i | ||||
\(149\) | 44.5971 | − | 202.607i | 0.299310 | − | 1.35978i | −0.551444 | − | 0.834212i | \(-0.685923\pi\) |
0.850753 | − | 0.525565i | \(-0.176146\pi\) | |||||||
\(150\) | −31.7259 | − | 125.561i | −0.211506 | − | 0.837076i | ||||
\(151\) | −14.7692 | + | 13.9901i | −0.0978090 | + | 0.0926496i | −0.735042 | − | 0.678022i | \(-0.762838\pi\) |
0.637233 | + | 0.770671i | \(0.280079\pi\) | |||||||
\(152\) | −0.681686 | + | 0.719648i | −0.00448478 | + | 0.00473452i | ||||
\(153\) | −148.532 | + | 114.678i | −0.970799 | + | 0.749531i | ||||
\(154\) | 7.14152 | − | 43.5614i | 0.0463735 | − | 0.282866i | ||||
\(155\) | −116.826 | − | 79.2098i | −0.753715 | − | 0.511031i | ||||
\(156\) | 52.9726 | + | 270.583i | 0.339568 | + | 1.73451i | ||||
\(157\) | 207.974 | − | 125.134i | 1.32467 | − | 0.797029i | 0.335256 | − | 0.942127i | \(-0.391177\pi\) |
0.989417 | + | 0.145098i | \(0.0463497\pi\) | |||||||
\(158\) | −58.0119 | − | 263.551i | −0.367164 | − | 1.66804i | ||||
\(159\) | 8.21616 | + | 16.4115i | 0.0516740 | + | 0.103217i | ||||
\(160\) | −125.157 | − | 57.9039i | −0.782233 | − | 0.361900i | ||||
\(161\) | −54.1274 | + | 15.0284i | −0.336195 | + | 0.0933441i | ||||
\(162\) | −217.192 | + | 63.8252i | −1.34069 | + | 0.393982i | ||||
\(163\) | 38.1996 | − | 4.15446i | 0.234353 | − | 0.0254875i | 0.00981135 | − | 0.999952i | \(-0.496877\pi\) |
0.224542 | + | 0.974464i | \(0.427911\pi\) | |||||||
\(164\) | −15.9324 | − | 8.44685i | −0.0971491 | − | 0.0515052i | ||||
\(165\) | 44.1851 | − | 35.7904i | 0.267789 | − | 0.216912i | ||||
\(166\) | −78.2859 | + | 281.960i | −0.471602 | + | 1.69856i | ||||
\(167\) | −61.2162 | − | 51.9975i | −0.366564 | − | 0.311362i | 0.445107 | − | 0.895478i | \(-0.353166\pi\) |
−0.811671 | + | 0.584115i | \(0.801442\pi\) | |||||||
\(168\) | 2.90150 | + | 2.87983i | 0.0172708 | + | 0.0171419i | ||||
\(169\) | −231.590 | − | 341.569i | −1.37035 | − | 2.02112i | ||||
\(170\) | −75.6259 | − | 163.463i | −0.444858 | − | 0.961545i | ||||
\(171\) | −16.2816 | − | 4.38937i | −0.0952138 | − | 0.0256688i | ||||
\(172\) | −68.1070 | + | 170.936i | −0.395971 | + | 0.993813i | ||||
\(173\) | −175.955 | + | 231.465i | −1.01708 | + | 1.33795i | −0.0769872 | + | 0.997032i | \(0.524530\pi\) |
−0.940094 | + | 0.340915i | \(0.889263\pi\) | |||||||
\(174\) | −13.6934 | + | 55.9572i | −0.0786979 | + | 0.321593i | ||||
\(175\) | −37.7030 | − | 12.7036i | −0.215446 | − | 0.0725921i | ||||
\(176\) | 102.539i | 0.582609i | ||||||||
\(177\) | −175.266 | − | 24.7165i | −0.990202 | − | 0.139641i | ||||
\(178\) | −57.3851 | −0.322388 | ||||||||
\(179\) | −5.74119 | + | 17.0392i | −0.0320737 | + | 0.0951913i | −0.962494 | − | 0.271303i | \(-0.912545\pi\) |
0.930420 | + | 0.366494i | \(0.119442\pi\) | |||||||
\(180\) | −6.53233 | − | 105.804i | −0.0362907 | − | 0.587802i | ||||
\(181\) | −27.0512 | − | 20.5638i | −0.149454 | − | 0.113612i | 0.527775 | − | 0.849384i | \(-0.323026\pi\) |
−0.677229 | + | 0.735772i | \(0.736820\pi\) | |||||||
\(182\) | 161.283 | + | 64.2610i | 0.886170 | + | 0.353083i | ||||
\(183\) | 5.77207 | − | 9.10534i | 0.0315413 | − | 0.0497560i | ||||
\(184\) | 10.4719 | − | 4.84482i | 0.0569125 | − | 0.0263305i | ||||
\(185\) | 148.229 | − | 100.502i | 0.801236 | − | 0.543252i | ||||
\(186\) | 271.745 | + | 269.716i | 1.46100 | + | 1.45009i | ||||
\(187\) | −82.7733 | + | 97.4483i | −0.442638 | + | 0.521114i | ||||
\(188\) | −90.8479 | − | 25.2238i | −0.483234 | − | 0.134169i | ||||
\(189\) | −19.6640 | + | 66.7063i | −0.104042 | + | 0.352943i | ||||
\(190\) | 7.58124 | − | 14.2997i | 0.0399013 | − | 0.0752618i | ||||
\(191\) | −20.2374 | − | 186.080i | −0.105955 | − | 0.974240i | −0.919594 | − | 0.392870i | \(-0.871482\pi\) |
0.813639 | − | 0.581370i | \(-0.197483\pi\) | |||||||
\(192\) | 141.226 | + | 100.642i | 0.735552 | + | 0.524178i | ||||
\(193\) | −9.90674 | − | 35.6809i | −0.0513303 | − | 0.184875i | 0.933441 | − | 0.358732i | \(-0.116791\pi\) |
−0.984771 | + | 0.173857i | \(0.944377\pi\) | |||||||
\(194\) | 98.7068 | − | 213.351i | 0.508798 | − | 1.09975i | ||||
\(195\) | 100.115 | + | 199.977i | 0.513410 | + | 1.02552i | ||||
\(196\) | 157.668 | − | 34.7055i | 0.804431 | − | 0.177069i | ||||
\(197\) | 4.33209 | + | 7.19999i | 0.0219903 | + | 0.0365482i | 0.867657 | − | 0.497163i | \(-0.165625\pi\) |
−0.845667 | + | 0.533711i | \(0.820797\pi\) | |||||||
\(198\) | −135.730 | + | 73.2682i | −0.685506 | + | 0.370042i | ||||
\(199\) | 172.066 | − | 253.778i | 0.864651 | − | 1.27526i | −0.0953999 | − | 0.995439i | \(-0.530413\pi\) |
0.960051 | − | 0.279826i | \(-0.0902767\pi\) | |||||||
\(200\) | 8.06431 | + | 1.32208i | 0.0403215 | + | 0.00661038i | ||||
\(201\) | 135.684 | − | 50.4257i | 0.675043 | − | 0.250874i | ||||
\(202\) | 353.015 | + | 334.393i | 1.74760 | + | 1.65541i | ||||
\(203\) | 12.1707 | + | 12.8484i | 0.0599541 | + | 0.0632928i | ||||
\(204\) | 58.3920 | + | 231.098i | 0.286235 | + | 1.13283i | ||||
\(205\) | −14.2848 | − | 3.14432i | −0.0696818 | − | 0.0153381i | ||||
\(206\) | 110.758 | + | 328.718i | 0.537660 | + | 1.59572i | ||||
\(207\) | 157.147 | + | 117.612i | 0.759167 | + | 0.568175i | ||||
\(208\) | −393.857 | − | 86.6946i | −1.89355 | − | 0.416801i | ||||
\(209\) | −11.4728 | − | 0.622037i | −0.0548938 | − | 0.00297625i | ||||
\(210\) | −58.2281 | − | 32.6334i | −0.277277 | − | 0.155397i | ||||
\(211\) | 179.990 | + | 170.496i | 0.853035 | + | 0.808037i | 0.983024 | − | 0.183478i | \(-0.0587357\pi\) |
−0.129989 | + | 0.991515i | \(0.541494\pi\) | |||||||
\(212\) | 23.2788 | − | 1.26214i | 0.109806 | − | 0.00595349i | ||||
\(213\) | 14.5946 | + | 104.197i | 0.0685192 | + | 0.489189i | ||||
\(214\) | −260.003 | + | 383.475i | −1.21497 | + | 1.79194i | ||||
\(215\) | −16.1364 | + | 148.372i | −0.0750532 | + | 0.690103i | ||||
\(216\) | 1.76913 | − | 14.1744i | 0.00819040 | − | 0.0656222i | ||||
\(217\) | 114.872 | − | 25.2851i | 0.529362 | − | 0.116521i | ||||
\(218\) | −85.3576 | + | 13.9937i | −0.391549 | + | 0.0641912i | ||||
\(219\) | 8.21505 | − | 62.0324i | 0.0375117 | − | 0.283253i | ||||
\(220\) | −19.3230 | − | 69.5952i | −0.0878319 | − | 0.316342i | ||||
\(221\) | −304.320 | − | 400.326i | −1.37701 | − | 1.81143i | ||||
\(222\) | −445.531 | + | 193.636i | −2.00690 | + | 0.872232i | ||||
\(223\) | 53.8667 | − | 101.603i | 0.241555 | − | 0.455621i | −0.732860 | − | 0.680380i | \(-0.761815\pi\) |
0.974414 | + | 0.224759i | \(0.0721596\pi\) | |||||||
\(224\) | 106.756 | − | 42.5356i | 0.476591 | − | 0.189891i | ||||
\(225\) | 45.3750 | + | 131.405i | 0.201667 | + | 0.584020i | ||||
\(226\) | −74.8154 | + | 88.0795i | −0.331042 | + | 0.389732i | ||||
\(227\) | 290.188 | − | 153.848i | 1.27836 | − | 0.677745i | 0.315806 | − | 0.948824i | \(-0.397725\pi\) |
0.962557 | + | 0.271078i | \(0.0873803\pi\) | |||||||
\(228\) | −13.3570 | + | 16.7450i | −0.0585834 | + | 0.0734431i | ||||
\(229\) | 131.236 | − | 60.7164i | 0.573084 | − | 0.265137i | −0.111870 | − | 0.993723i | \(-0.535684\pi\) |
0.684955 | + | 0.728586i | \(0.259822\pi\) | |||||||
\(230\) | −143.589 | + | 121.965i | −0.624298 | + | 0.530284i | ||||
\(231\) | −3.66863 | + | 47.2423i | −0.0158815 | + | 0.204512i | ||||
\(232\) | −2.89388 | − | 2.19987i | −0.0124736 | − | 0.00948220i | ||||
\(233\) | 80.8218 | − | 134.327i | 0.346875 | − | 0.576510i | −0.633478 | − | 0.773760i | \(-0.718373\pi\) |
0.980353 | + | 0.197250i | \(0.0632010\pi\) | |||||||
\(234\) | −166.670 | − | 583.292i | −0.712263 | − | 2.49270i | ||||
\(235\) | −76.4748 | −0.325425 | ||||||||
\(236\) | −117.533 | + | 191.664i | −0.498022 | + | 0.812135i | ||||
\(237\) | 86.0641 | + | 276.597i | 0.363140 | + | 1.16708i | ||||
\(238\) | 142.233 | + | 47.9239i | 0.597618 | + | 0.201361i | ||||
\(239\) | 52.6710 | − | 87.5399i | 0.220381 | − | 0.366276i | −0.726867 | − | 0.686778i | \(-0.759024\pi\) |
0.947248 | + | 0.320503i | \(0.103852\pi\) | |||||||
\(240\) | 145.740 | + | 52.9230i | 0.607249 | + | 0.220512i | ||||
\(241\) | −123.387 | + | 309.678i | −0.511979 | + | 1.28497i | 0.414988 | + | 0.909827i | \(0.363786\pi\) |
−0.926967 | + | 0.375143i | \(0.877593\pi\) | |||||||
\(242\) | 177.638 | − | 150.887i | 0.734042 | − | 0.623501i | ||||
\(243\) | 226.484 | − | 88.0572i | 0.932032 | − | 0.362375i | ||||
\(244\) | −7.68491 | − | 11.3344i | −0.0314955 | − | 0.0464525i | ||||
\(245\) | 115.694 | − | 61.3368i | 0.472219 | − | 0.250354i | ||||
\(246\) | 36.5057 | + | 15.5417i | 0.148397 | + | 0.0631778i | ||||
\(247\) | 12.0893 | − | 43.5416i | 0.0489444 | − | 0.176282i | ||||
\(248\) | −22.4435 | + | 8.94233i | −0.0904982 | + | 0.0360578i | ||||
\(249\) | 58.0371 | − | 308.708i | 0.233081 | − | 1.23979i | ||||
\(250\) | −347.340 | + | 37.7755i | −1.38936 | + | 0.151102i | ||||
\(251\) | −37.7196 | − | 49.6193i | −0.150277 | − | 0.197687i | 0.714794 | − | 0.699335i | \(-0.246520\pi\) |
−0.865072 | + | 0.501648i | \(0.832727\pi\) | |||||||
\(252\) | 67.7542 | + | 56.6821i | 0.268866 | + | 0.224929i | ||||
\(253\) | 121.380 | + | 56.1563i | 0.479762 | + | 0.221962i | ||||
\(254\) | −396.141 | + | 64.9440i | −1.55961 | + | 0.255685i | ||||
\(255\) | 95.7825 | + | 167.942i | 0.375618 | + | 0.658595i | ||||
\(256\) | −238.622 | + | 143.574i | −0.932115 | + | 0.560835i | ||||
\(257\) | −44.1134 | + | 405.616i | −0.171648 | + | 1.57827i | 0.518803 | + | 0.854894i | \(0.326378\pi\) |
−0.690451 | + | 0.723379i | \(0.742588\pi\) | |||||||
\(258\) | 117.380 | − | 387.456i | 0.454961 | − | 1.50177i | ||||
\(259\) | −24.1441 | + | 147.272i | −0.0932204 | + | 0.568619i | ||||
\(260\) | 283.655 | − | 15.3793i | 1.09098 | − | 0.0591513i | ||||
\(261\) | 9.54670 | − | 61.0975i | 0.0365774 | − | 0.234090i | ||||
\(262\) | 302.895 | − | 286.917i | 1.15609 | − | 1.09510i | ||||
\(263\) | −37.5384 | − | 2.03527i | −0.142732 | − | 0.00773869i | −0.0173654 | − | 0.999849i | \(-0.505528\pi\) |
−0.125366 | + | 0.992111i | \(0.540011\pi\) | |||||||
\(264\) | −0.826253 | − | 9.69764i | −0.00312975 | − | 0.0367335i | ||||
\(265\) | 17.9195 | − | 6.03777i | 0.0676206 | − | 0.0227840i | ||||
\(266\) | 4.30657 | + | 12.7815i | 0.0161901 | + | 0.0480506i | ||||
\(267\) | 61.3769 | − | 5.22939i | 0.229876 | − | 0.0195857i | ||||
\(268\) | 9.95437 | − | 183.598i | 0.0371432 | − | 0.685066i | ||||
\(269\) | −271.047 | − | 286.141i | −1.00761 | − | 1.06372i | −0.997965 | − | 0.0637670i | \(-0.979689\pi\) |
−0.00964472 | − | 0.999953i | \(-0.503070\pi\) | |||||||
\(270\) | 34.0830 | + | 230.730i | 0.126233 | + | 0.854555i | ||||
\(271\) | −20.1884 | − | 372.354i | −0.0744961 | − | 1.37400i | −0.761886 | − | 0.647711i | \(-0.775726\pi\) |
0.687390 | − | 0.726289i | \(-0.258756\pi\) | |||||||
\(272\) | −344.050 | − | 56.4041i | −1.26489 | − | 0.207368i | ||||
\(273\) | −178.358 | − | 54.0337i | −0.653326 | − | 0.197926i | ||||
\(274\) | −81.6351 | − | 8.87835i | −0.297938 | − | 0.0324027i | ||||
\(275\) | 48.8339 | + | 81.1625i | 0.177578 | + | 0.295136i | ||||
\(276\) | 216.580 | − | 123.522i | 0.784709 | − | 0.447545i | ||||
\(277\) | 44.9739 | + | 274.329i | 0.162361 | + | 0.990357i | 0.934776 | + | 0.355239i | \(0.115600\pi\) |
−0.772415 | + | 0.635118i | \(0.780951\pi\) | |||||||
\(278\) | −184.143 | + | 398.018i | −0.662384 | + | 1.43172i | ||||
\(279\) | −315.227 | − | 263.714i | −1.12985 | − | 0.945212i | ||||
\(280\) | 3.35306 | − | 2.54893i | 0.0119752 | − | 0.00910332i | ||||
\(281\) | 13.1942 | + | 121.318i | 0.0469543 | + | 0.431738i | 0.993895 | + | 0.110330i | \(0.0351907\pi\) |
−0.946941 | + | 0.321408i | \(0.895844\pi\) | |||||||
\(282\) | 203.873 | + | 38.3281i | 0.722955 | + | 0.135915i | ||||
\(283\) | 77.6928 | + | 194.994i | 0.274533 | + | 0.689025i | 1.00000 | 0.000768288i | \(0.000244554\pi\) | |
−0.725467 | + | 0.688257i | \(0.758376\pi\) | |||||||
\(284\) | 128.775 | + | 35.7543i | 0.453435 | + | 0.125895i | ||||
\(285\) | −6.80550 | + | 15.9853i | −0.0238789 | + | 0.0560888i | ||||
\(286\) | −193.611 | − | 365.188i | −0.676960 | − | 1.27688i | ||||
\(287\) | 10.0886 | − | 6.84023i | 0.0351519 | − | 0.0238335i | ||||
\(288\) | −345.608 | − | 204.433i | −1.20003 | − | 0.709836i | ||||
\(289\) | −94.3420 | − | 111.068i | −0.326443 | − | 0.384318i | ||||
\(290\) | 55.1380 | + | 21.9690i | 0.190131 | + | 0.0757551i | ||||
\(291\) | −86.1306 | + | 237.187i | −0.295982 | + | 0.815076i | ||||
\(292\) | −68.1061 | − | 40.9781i | −0.233240 | − | 0.140336i | ||||
\(293\) | 138.312 | − | 410.494i | 0.472053 | − | 1.40100i | −0.402208 | − | 0.915548i | \(-0.631757\pi\) |
0.874261 | − | 0.485455i | \(-0.161346\pi\) | |||||||
\(294\) | −339.167 | + | 105.533i | −1.15363 | + | 0.358956i | ||||
\(295\) | −50.2671 | + | 175.297i | −0.170397 | + | 0.594228i | ||||
\(296\) | − | 30.6535i | − | 0.103559i | ||||||
\(297\) | 138.495 | − | 90.7337i | 0.466313 | − | 0.305501i | ||||
\(298\) | 496.800 | + | 298.915i | 1.66711 | + | 1.00307i | ||||
\(299\) | −318.322 | + | 418.746i | −1.06462 | + | 1.40049i | ||||
\(300\) | 176.055 | + | 13.6717i | 0.586851 | + | 0.0455723i | ||||
\(301\) | −80.5164 | − | 94.7913i | −0.267496 | − | 0.314921i | ||||
\(302\) | −23.8727 | − | 51.6000i | −0.0790487 | − | 0.170861i | ||||
\(303\) | −408.044 | − | 325.485i | −1.34668 | − | 1.07421i | ||||
\(304\) | −14.6752 | − | 27.6804i | −0.0482738 | − | 0.0910540i | ||||
\(305\) | −8.46557 | − | 7.19072i | −0.0277560 | − | 0.0235761i | ||||
\(306\) | −171.175 | − | 495.718i | −0.559396 | − | 1.61999i | ||||
\(307\) | −57.4802 | − | 144.264i | −0.187232 | − | 0.469917i | 0.805157 | − | 0.593062i | \(-0.202081\pi\) |
−0.992389 | + | 0.123145i | \(0.960702\pi\) | |||||||
\(308\) | 53.1781 | + | 28.1932i | 0.172656 | + | 0.0915365i | ||||
\(309\) | −148.418 | − | 341.491i | −0.480316 | − | 1.10515i | ||||
\(310\) | 314.037 | − | 238.724i | 1.01302 | − | 0.770079i | ||||
\(311\) | 456.752 | − | 126.817i | 1.46866 | − | 0.407771i | 0.561117 | − | 0.827736i | \(-0.310372\pi\) |
0.907540 | + | 0.419966i | \(0.137958\pi\) | |||||||
\(312\) | 37.9476 | + | 5.02547i | 0.121627 | + | 0.0161073i | ||||
\(313\) | −23.7265 | − | 144.725i | −0.0758034 | − | 0.462380i | −0.997265 | − | 0.0739106i | \(-0.976452\pi\) |
0.921461 | − | 0.388470i | \(-0.126996\pi\) | |||||||
\(314\) | 145.822 | + | 662.477i | 0.464402 | + | 2.10980i | ||||
\(315\) | 65.2524 | + | 29.5972i | 0.207150 | + | 0.0939593i | ||||
\(316\) | 365.801 | + | 39.7832i | 1.15760 | + | 0.125896i | ||||
\(317\) | 291.929 | + | 197.933i | 0.920911 | + | 0.624393i | 0.926786 | − | 0.375590i | \(-0.122560\pi\) |
−0.00587506 | + | 0.999983i | \(0.501870\pi\) | |||||||
\(318\) | −50.7973 | + | 7.11501i | −0.159740 | + | 0.0223743i | ||||
\(319\) | −2.28111 | − | 42.0726i | −0.00715082 | − | 0.131889i | ||||
\(320\) | 122.872 | − | 129.714i | 0.383975 | − | 0.405357i | ||||
\(321\) | 243.143 | − | 433.844i | 0.757456 | − | 1.35154i | ||||
\(322\) | 8.49958 | − | 156.766i | 0.0263962 | − | 0.486849i | ||||
\(323\) | 8.39800 | − | 38.1525i | 0.0260000 | − | 0.118119i | ||||
\(324\) | 12.0884 | − | 308.430i | 0.0373098 | − | 0.951944i | ||||
\(325\) | −353.037 | + | 118.952i | −1.08627 | + | 0.366006i | ||||
\(326\) | −23.0853 | + | 104.878i | −0.0708139 | + | 0.321711i | ||||
\(327\) | 90.0200 | − | 22.7456i | 0.275290 | − | 0.0695583i | ||||
\(328\) | −1.81759 | + | 1.72172i | −0.00554144 | + | 0.00524913i | ||||
\(329\) | 43.8261 | − | 46.2666i | 0.133210 | − | 0.140628i | ||||
\(330\) | 55.3602 | + | 148.961i | 0.167758 | + | 0.451397i | ||||
\(331\) | −82.8893 | + | 505.603i | −0.250421 | + | 1.52750i | 0.499699 | + | 0.866199i | \(0.333444\pi\) |
−0.750120 | + | 0.661301i | \(0.770004\pi\) | |||||||
\(332\) | −330.248 | − | 223.914i | −0.994724 | − | 0.674440i | ||||
\(333\) | 458.877 | − | 247.705i | 1.37801 | − | 0.743860i | ||||
\(334\) | 192.341 | − | 115.728i | 0.575872 | − | 0.346491i | ||||
\(335\) | −32.0598 | − | 145.649i | −0.0957009 | − | 0.434773i | ||||
\(336\) | −115.538 | + | 57.8422i | −0.343864 | + | 0.172149i | ||||
\(337\) | −445.741 | − | 206.222i | −1.32267 | − | 0.611933i | −0.373775 | − | 0.927519i | \(-0.621937\pi\) |
−0.948897 | + | 0.315586i | \(0.897799\pi\) | |||||||
\(338\) | 1111.30 | − | 308.550i | 3.28786 | − | 0.912871i | ||||
\(339\) | 71.9931 | − | 101.024i | 0.212369 | − | 0.298007i | ||||
\(340\) | 244.142 | − | 26.5520i | 0.718064 | − | 0.0780942i | ||||
\(341\) | −247.411 | − | 131.169i | −0.725547 | − | 0.384661i | ||||
\(342\) | 26.1543 | − | 39.2042i | 0.0764746 | − | 0.114632i | ||||
\(343\) | −62.9579 | + | 226.754i | −0.183551 | + | 0.661090i | ||||
\(344\) | 19.4701 | + | 16.5381i | 0.0565991 | + | 0.0480757i | ||||
\(345\) | 142.462 | − | 143.534i | 0.412934 | − | 0.416041i | ||||
\(346\) | −456.010 | − | 672.564i | −1.31795 | − | 1.94383i | ||||
\(347\) | 126.577 | + | 273.592i | 0.364776 | + | 0.788451i | 0.999872 | + | 0.0160170i | \(0.00509860\pi\) |
−0.635096 | + | 0.772434i | \(0.719039\pi\) | |||||||
\(348\) | −66.3427 | − | 42.0560i | −0.190640 | − | 0.120851i | ||||
\(349\) | −177.452 | + | 445.370i | −0.508458 | + | 1.27613i | 0.420952 | + | 0.907083i | \(0.361696\pi\) |
−0.929410 | + | 0.369049i | \(0.879683\pi\) | |||||||
\(350\) | 67.2902 | − | 88.5187i | 0.192258 | − | 0.252911i | ||||
\(351\) | 231.418 | + | 608.678i | 0.659310 | + | 1.73413i | ||||
\(352\) | −259.274 | − | 87.3595i | −0.736573 | − | 0.248181i | ||||
\(353\) | 695.446i | 1.97010i | 0.172262 | + | 0.985051i | \(0.444892\pi\) | ||||
−0.172262 | + | 0.985051i | \(0.555108\pi\) | |||||||
\(354\) | 221.863 | − | 442.129i | 0.626732 | − | 1.24895i | ||||
\(355\) | 108.402 | 0.305357 | ||||||||
\(356\) | 24.9839 | − | 74.1495i | 0.0701794 | − | 0.208285i | ||||
\(357\) | −156.494 | − | 38.2961i | −0.438359 | − | 0.107272i | ||||
\(358\) | −40.0046 | − | 30.4107i | −0.111745 | − | 0.0849461i | ||||
\(359\) | −140.697 | − | 56.0589i | −0.391914 | − | 0.156153i | 0.165853 | − | 0.986151i | \(-0.446962\pi\) |
−0.557767 | + | 0.829998i | \(0.688342\pi\) | |||||||
\(360\) | −14.2098 | − | 3.83083i | −0.0394716 | − | 0.0106412i | ||||
\(361\) | −324.449 | + | 150.106i | −0.898750 | + | 0.415806i | ||||
\(362\) | 78.6023 | − | 53.2937i | 0.217133 | − | 0.147220i | ||||
\(363\) | −176.245 | + | 177.571i | −0.485523 | + | 0.489176i | ||||
\(364\) | −153.252 | + | 180.423i | −0.421023 | + | 0.495666i | ||||
\(365\) | −62.1197 | − | 17.2475i | −0.170191 | − | 0.0472533i | ||||
\(366\) | 18.9644 | + | 23.4125i | 0.0518152 | + | 0.0639685i | ||||
\(367\) | 29.3932 | − | 55.4415i | 0.0800905 | − | 0.151067i | −0.840232 | − | 0.542227i | \(-0.817581\pi\) |
0.920323 | + | 0.391160i | \(0.127926\pi\) | |||||||
\(368\) | 39.4293 | + | 362.547i | 0.107145 | + | 0.985181i | ||||
\(369\) | −40.4614 | − | 13.2961i | −0.109651 | − | 0.0360329i | ||||
\(370\) | 133.900 | + | 482.263i | 0.361891 | + | 1.30341i | ||||
\(371\) | −6.61645 | + | 14.3012i | −0.0178341 | + | 0.0385478i | ||||
\(372\) | −466.821 | + | 233.706i | −1.25489 | + | 0.628241i | ||||
\(373\) | 455.087 | − | 100.172i | 1.22007 | − | 0.268558i | 0.442163 | − | 0.896935i | \(-0.354211\pi\) |
0.777909 | + | 0.628377i | \(0.216280\pi\) | |||||||
\(374\) | −184.224 | − | 306.182i | −0.492577 | − | 0.818669i | ||||
\(375\) | 368.059 | − | 72.0556i | 0.981490 | − | 0.192148i | ||||
\(376\) | −7.34584 | + | 10.8343i | −0.0195368 | + | 0.0288146i | ||||
\(377\) | 163.531 | + | 26.8096i | 0.433770 | + | 0.0711130i | ||||
\(378\) | −159.122 | − | 111.606i | −0.420957 | − | 0.295255i | ||||
\(379\) | 310.165 | + | 293.804i | 0.818378 | + | 0.775209i | 0.977250 | − | 0.212090i | \(-0.0680271\pi\) |
−0.158872 | + | 0.987299i | \(0.550786\pi\) | |||||||
\(380\) | 15.1766 | + | 16.0217i | 0.0399384 | + | 0.0421624i | ||||
\(381\) | 417.779 | − | 105.561i | 1.09653 | − | 0.277063i | ||||
\(382\) | 510.885 | + | 112.454i | 1.33740 | + | 0.294383i | ||||
\(383\) | 101.587 | + | 301.500i | 0.265241 | + | 0.787207i | 0.994666 | + | 0.103147i | \(0.0328911\pi\) |
−0.729425 | + | 0.684061i | \(0.760212\pi\) | |||||||
\(384\) | 41.0928 | − | 29.7510i | 0.107012 | − | 0.0774766i | ||||
\(385\) | 47.6786 | + | 10.4949i | 0.123841 | + | 0.0272594i | ||||
\(386\) | 103.340 | + | 5.60293i | 0.267720 | + | 0.0145154i | ||||
\(387\) | −90.2370 | + | 425.104i | −0.233171 | + | 1.09846i | ||||
\(388\) | 232.705 | + | 220.430i | 0.599756 | + | 0.568119i | ||||
\(389\) | 73.2051 | − | 3.96907i | 0.188188 | − | 0.0102033i | 0.0401960 | − | 0.999192i | \(-0.487202\pi\) |
0.147992 | + | 0.988989i | \(0.452719\pi\) | |||||||
\(390\) | −618.972 | + | 86.6974i | −1.58711 | + | 0.222301i | ||||
\(391\) | −255.189 | + | 376.375i | −0.652657 | + | 0.962597i | ||||
\(392\) | 2.42334 | − | 22.2822i | 0.00618198 | − | 0.0568424i | ||||
\(393\) | −297.818 | + | 334.478i | −0.757808 | + | 0.851089i | ||||
\(394\) | −22.9348 | + | 5.04832i | −0.0582100 | + | 0.0128130i | ||||
\(395\) | 294.521 | − | 48.2843i | 0.745623 | − | 0.122239i | ||||
\(396\) | −35.5796 | − | 207.281i | −0.0898474 | − | 0.523437i | ||||
\(397\) | −174.640 | − | 628.996i | −0.439899 | − | 1.58437i | −0.768465 | − | 0.639892i | \(-0.778979\pi\) |
0.328566 | − | 0.944481i | \(-0.393435\pi\) | |||||||
\(398\) | 518.575 | + | 682.174i | 1.30295 | + | 1.71400i | ||||
\(399\) | −5.77090 | − | 13.2781i | −0.0144634 | − | 0.0332785i | ||||
\(400\) | −120.983 | + | 228.199i | −0.302458 | + | 0.570497i | ||||
\(401\) | −273.663 | + | 109.037i | −0.682451 | + | 0.271913i | −0.685490 | − | 0.728082i | \(-0.740412\pi\) |
0.00303875 | + | 0.999995i | \(0.499033\pi\) | |||||||
\(402\) | 12.4704 | + | 404.352i | 0.0310209 | + | 1.00585i | ||||
\(403\) | 713.007 | − | 839.417i | 1.76925 | − | 2.08292i | ||||
\(404\) | −585.775 | + | 310.558i | −1.44994 | + | 0.768709i | ||||
\(405\) | −57.4798 | − | 243.674i | −0.141925 | − | 0.601663i | ||||
\(406\) | −44.8894 | + | 20.7681i | −0.110565 | + | 0.0511529i | ||||
\(407\) | 270.800 | − | 230.019i | 0.665356 | − | 0.565158i | ||||
\(408\) | 32.9930 | + | 2.56209i | 0.0808652 | + | 0.00627963i | ||||
\(409\) | −29.4274 | − | 22.3701i | −0.0719496 | − | 0.0546947i | 0.568581 | − | 0.822627i | \(-0.307493\pi\) |
−0.640531 | + | 0.767932i | \(0.721286\pi\) | |||||||
\(410\) | 21.0750 | − | 35.0268i | 0.0514023 | − | 0.0854313i | ||||
\(411\) | 88.1228 | + | 2.05669i | 0.214411 | + | 0.00500411i | ||||
\(412\) | −472.970 | −1.14798 | ||||||||
\(413\) | −77.2463 | − | 130.870i | −0.187037 | − | 0.316877i | ||||
\(414\) | −451.726 | + | 311.246i | −1.09113 | + | 0.751802i | ||||
\(415\) | −306.691 | − | 103.336i | −0.739014 | − | 0.249003i | ||||
\(416\) | 554.762 | − | 922.021i | 1.33356 | − | 2.21640i | ||||
\(417\) | 160.681 | − | 442.485i | 0.385327 | − | 1.06112i | ||||
\(418\) | 11.8854 | − | 29.8302i | 0.0284341 | − | 0.0713642i | ||||
\(419\) | 271.283 | − | 230.430i | 0.647453 | − | 0.549951i | −0.262360 | − | 0.964970i | \(-0.584501\pi\) |
0.909813 | + | 0.415019i | \(0.136225\pi\) | |||||||
\(420\) | 67.5178 | − | 61.0312i | 0.160757 | − | 0.145312i | ||||
\(421\) | −322.405 | − | 475.511i | −0.765807 | − | 1.12948i | −0.987996 | − | 0.154477i | \(-0.950631\pi\) |
0.222189 | − | 0.975004i | \(-0.428680\pi\) | |||||||
\(422\) | −612.171 | + | 324.552i | −1.45064 | + | 0.769081i | ||||
\(423\) | −221.548 | − | 22.4157i | −0.523753 | − | 0.0529922i | ||||
\(424\) | 0.865885 | − | 3.11864i | 0.00204218 | − | 0.00735528i | ||||
\(425\) | −299.187 | + | 119.207i | −0.703969 | + | 0.280487i | ||||
\(426\) | −288.987 | − | 54.3295i | −0.678373 | − | 0.127534i | ||||
\(427\) | 9.20176 | − | 1.00075i | 0.0215498 | − | 0.00234368i | ||||
\(428\) | −382.305 | − | 502.914i | −0.893236 | − | 1.17503i | ||||
\(429\) | 240.357 | + | 372.948i | 0.560274 | + | 0.869343i | ||||
\(430\) | −378.559 | − | 175.140i | −0.880369 | − | 0.407302i | ||||
\(431\) | 241.577 | − | 39.6045i | 0.560502 | − | 0.0918897i | 0.125130 | − | 0.992140i | \(-0.460065\pi\) |
0.435372 | + | 0.900251i | \(0.356617\pi\) | |||||||
\(432\) | 406.696 | + | 196.036i | 0.941425 | + | 0.453787i | ||||
\(433\) | −727.554 | + | 437.755i | −1.68026 | + | 1.01098i | −0.738764 | + | 0.673964i | \(0.764590\pi\) |
−0.941499 | + | 0.337017i | \(0.890582\pi\) | |||||||
\(434\) | −35.5413 | + | 326.797i | −0.0818925 | + | 0.752989i | ||||
\(435\) | −60.9755 | − | 18.4726i | −0.140173 | − | 0.0424657i | ||||
\(436\) | 19.0806 | − | 116.386i | 0.0437628 | − | 0.266941i | ||||
\(437\) | −40.8034 | + | 2.21230i | −0.0933717 | + | 0.00506246i | ||||
\(438\) | 156.960 | + | 77.1133i | 0.358356 | + | 0.176058i | ||||
\(439\) | −375.190 | + | 355.399i | −0.854648 | + | 0.809566i | −0.983275 | − | 0.182127i | \(-0.941702\pi\) |
0.128627 | + | 0.991693i | \(0.458943\pi\) | |||||||
\(440\) | −10.0129 | − | 0.542884i | −0.0227566 | − | 0.00123383i | ||||
\(441\) | 353.143 | − | 143.782i | 0.800778 | − | 0.326036i | ||||
\(442\) | 1331.82 | − | 448.741i | 3.01316 | − | 1.01525i | ||||
\(443\) | 221.998 | + | 658.867i | 0.501125 | + | 1.48728i | 0.837966 | + | 0.545723i | \(0.183745\pi\) |
−0.336841 | + | 0.941562i | \(0.609358\pi\) | |||||||
\(444\) | −56.2322 | − | 659.991i | −0.126649 | − | 1.48647i | ||||
\(445\) | 3.43594 | − | 63.3722i | 0.00772122 | − | 0.142409i | ||||
\(446\) | 221.024 | + | 233.332i | 0.495570 | + | 0.523166i | ||||
\(447\) | −558.597 | − | 274.435i | −1.24966 | − | 0.613949i | ||||
\(448\) | 8.06081 | + | 148.673i | 0.0179929 | + | 0.331859i | ||||
\(449\) | 68.1535 | + | 11.1732i | 0.151790 | + | 0.0248846i | 0.237198 | − | 0.971461i | \(-0.423771\pi\) |
−0.0854080 | + | 0.996346i | \(0.527219\pi\) | |||||||
\(450\) | −388.512 | + | 2.91237i | −0.863359 | + | 0.00647193i | ||||
\(451\) | −28.8490 | − | 3.13751i | −0.0639667 | − | 0.00695679i | ||||
\(452\) | −81.2384 | − | 135.019i | −0.179731 | − | 0.298715i | ||||
\(453\) | 30.2355 | + | 53.0139i | 0.0667451 | + | 0.117028i | ||||
\(454\) | 148.506 | + | 905.844i | 0.327105 | + | 1.99525i | ||||
\(455\) | −80.6224 | + | 174.262i | −0.177192 | + | 0.382994i | ||||
\(456\) | 1.61096 | + | 2.49962i | 0.00353280 | + | 0.00548163i | ||||
\(457\) | 306.050 | − | 232.654i | 0.669695 | − | 0.509089i | −0.214191 | − | 0.976792i | \(-0.568711\pi\) |
0.883886 | + | 0.467703i | \(0.154918\pi\) | |||||||
\(458\) | 43.6936 | + | 401.756i | 0.0954010 | + | 0.877197i | ||||
\(459\) | 228.256 | + | 514.602i | 0.497291 | + | 1.12114i | ||||
\(460\) | −95.0815 | − | 238.637i | −0.206699 | − | 0.518775i | ||||
\(461\) | −657.172 | − | 182.463i | −1.42554 | − | 0.395798i | −0.532748 | − | 0.846274i | \(-0.678841\pi\) |
−0.892789 | + | 0.450476i | \(0.851254\pi\) | |||||||
\(462\) | −121.846 | − | 51.8740i | −0.263736 | − | 0.112281i | ||||
\(463\) | −135.066 | − | 254.761i | −0.291718 | − | 0.550239i | 0.693726 | − | 0.720239i | \(-0.255968\pi\) |
−0.985444 | + | 0.170000i | \(0.945623\pi\) | |||||||
\(464\) | 95.0951 | − | 64.4761i | 0.204946 | − | 0.138957i | ||||
\(465\) | −314.127 | + | 283.948i | −0.675542 | + | 0.610641i | ||||
\(466\) | 283.637 | + | 333.923i | 0.608663 | + | 0.716574i | ||||
\(467\) | −829.110 | − | 330.348i | −1.77540 | − | 0.707382i | −0.996807 | − | 0.0798484i | \(-0.974556\pi\) |
−0.778589 | − | 0.627534i | \(-0.784064\pi\) | |||||||
\(468\) | 826.258 | + | 38.5889i | 1.76551 | + | 0.0824549i | ||||
\(469\) | 106.489 | + | 64.0724i | 0.227056 | + | 0.136615i | ||||
\(470\) | 68.2440 | − | 202.541i | 0.145200 | − | 0.430938i | ||||
\(471\) | −216.336 | − | 695.271i | −0.459312 | − | 1.47616i | ||||
\(472\) | 20.0062 | + | 23.9597i | 0.0423859 | + | 0.0507621i | ||||
\(473\) | 296.102i | 0.626009i | ||||||||
\(474\) | −809.359 | − | 18.8895i | −1.70751 | − | 0.0398514i | ||||
\(475\) | −24.7985 | − | 14.9208i | −0.0522074 | − | 0.0314122i | ||||
\(476\) | −123.849 | + | 162.920i | −0.260186 | + | 0.342269i | ||||
\(477\) | 53.6824 | − | 12.2390i | 0.112542 | − | 0.0256583i | ||||
\(478\) | 184.844 | + | 217.615i | 0.386703 | + | 0.455262i | ||||
\(479\) | −369.356 | − | 798.351i | −0.771099 | − | 1.66670i | −0.745019 | − | 0.667044i | \(-0.767559\pi\) |
−0.0260804 | − | 0.999660i | \(-0.508303\pi\) | |||||||
\(480\) | −257.982 | + | 323.419i | −0.537463 | + | 0.673790i | ||||
\(481\) | 654.559 | + | 1234.63i | 1.36083 | + | 2.56680i | ||||
\(482\) | −710.064 | − | 603.134i | −1.47316 | − | 1.25132i | ||||
\(483\) | 5.19492 | + | 168.445i | 0.0107555 | + | 0.348747i | ||||
\(484\) | 117.629 | + | 295.225i | 0.243034 | + | 0.609970i | ||||
\(485\) | 229.701 | + | 121.780i | 0.473609 | + | 0.251092i | ||||
\(486\) | 31.1087 | + | 678.414i | 0.0640096 | + | 1.39591i | ||||
\(487\) | 282.270 | − | 214.576i | 0.579610 | − | 0.440608i | −0.273846 | − | 0.961774i | \(-0.588296\pi\) |
0.853455 | + | 0.521166i | \(0.174503\pi\) | |||||||
\(488\) | −1.83189 | + | 0.508621i | −0.00375386 | + | 0.00104226i | ||||
\(489\) | 15.1339 | − | 114.277i | 0.0309486 | − | 0.233695i | ||||
\(490\) | 59.2068 | + | 361.146i | 0.120830 | + | 0.737032i | ||||
\(491\) | 118.050 | + | 536.304i | 0.240427 | + | 1.09227i | 0.929858 | + | 0.367918i | \(0.119929\pi\) |
−0.689431 | + | 0.724351i | \(0.742140\pi\) | |||||||
\(492\) | −35.9756 | + | 40.4040i | −0.0731212 | + | 0.0821219i | ||||
\(493\) | 142.421 | + | 15.4892i | 0.288887 | + | 0.0314183i | ||||
\(494\) | 104.530 | + | 70.8733i | 0.211600 | + | 0.143468i | ||||
\(495\) | −72.7856 | − | 154.278i | −0.147042 | − | 0.311673i | ||||
\(496\) | −41.3400 | − | 762.471i | −0.0833468 | − | 1.53724i | ||||
\(497\) | −62.1227 | + | 65.5821i | −0.124995 | + | 0.131956i | ||||
\(498\) | 765.812 | + | 429.192i | 1.53777 | + | 0.861830i | ||||
\(499\) | 14.8153 | − | 273.252i | 0.0296899 | − | 0.547599i | −0.945417 | − | 0.325863i | \(-0.894345\pi\) |
0.975107 | − | 0.221736i | \(-0.0711722\pi\) | |||||||
\(500\) | 102.411 | − | 465.257i | 0.204822 | − | 0.930515i | ||||
\(501\) | −195.175 | + | 141.306i | −0.389570 | + | 0.282047i | ||||
\(502\) | 165.075 | − | 55.6203i | 0.328835 | − | 0.110797i | ||||
\(503\) | −20.1606 | + | 91.5903i | −0.0400806 | + | 0.182088i | −0.992408 | − | 0.122990i | \(-0.960752\pi\) |
0.952327 | + | 0.305078i | \(0.0986827\pi\) | |||||||
\(504\) | 10.4609 | − | 6.40143i | 0.0207558 | − | 0.0127012i | ||||
\(505\) | −390.418 | + | 369.824i | −0.773106 | + | 0.732325i | ||||
\(506\) | −257.044 | + | 271.358i | −0.507992 | + | 0.536280i | ||||
\(507\) | −1160.48 | + | 431.284i | −2.28892 | + | 0.850659i | ||||
\(508\) | 88.5521 | − | 540.144i | 0.174315 | − | 1.06328i | ||||
\(509\) | 212.054 | + | 143.776i | 0.416610 | + | 0.282468i | 0.751429 | − | 0.659814i | \(-0.229365\pi\) |
−0.334819 | + | 0.942282i | \(0.608675\pi\) | |||||||
\(510\) | −530.261 | + | 103.810i | −1.03973 | + | 0.203550i | ||||
\(511\) | 46.0340 | − | 27.6978i | 0.0900861 | − | 0.0542030i | ||||
\(512\) | −152.770 | − | 694.041i | −0.298379 | − | 1.35555i | ||||
\(513\) | −24.4010 | + | 44.3147i | −0.0475653 | + | 0.0863834i | ||||
\(514\) | −1034.89 | − | 478.793i | −2.01341 | − | 0.931505i | ||||
\(515\) | −369.645 | + | 102.632i | −0.717758 | + | 0.199285i | ||||
\(516\) | 449.543 | + | 320.359i | 0.871207 | + | 0.620850i | ||||
\(517\) | −150.835 | + | 16.4043i | −0.291750 | + | 0.0317297i | ||||
\(518\) | −368.500 | − | 195.366i | −0.711391 | − | 0.377155i | ||||
\(519\) | 549.020 | + | 677.793i | 1.05784 | + | 1.30596i | ||||
\(520\) | 10.5509 | − | 38.0010i | 0.0202903 | − | 0.0730789i | ||||
\(521\) | −431.831 | − | 366.800i | −0.828849 | − | 0.704031i | 0.128893 | − | 0.991659i | \(-0.458858\pi\) |
−0.957742 | + | 0.287627i | \(0.907134\pi\) | |||||||
\(522\) | 153.295 | + | 79.8058i | 0.293670 | + | 0.152885i | ||||
\(523\) | 105.654 | + | 155.829i | 0.202016 | + | 0.297951i | 0.915180 | − | 0.403046i | \(-0.132049\pi\) |
−0.713163 | + | 0.700998i | \(0.752738\pi\) | |||||||
\(524\) | 238.865 | + | 516.298i | 0.455849 | + | 0.985302i | ||||
\(525\) | −63.9044 | + | 100.808i | −0.121723 | + | 0.192016i | ||||
\(526\) | 38.8886 | − | 97.6030i | 0.0739327 | − | 0.185557i | ||||
\(527\) | 576.207 | − | 757.987i | 1.09337 | − | 1.43830i | ||||
\(528\) | 298.801 | + | 73.1204i | 0.565911 | + | 0.138486i | ||||
\(529\) | −50.5538 | − | 17.0335i | −0.0955648 | − | 0.0321995i | ||||
\(530\) | 52.8470i | 0.0997113i | ||||||||
\(531\) | −197.006 | + | 493.102i | −0.371009 | + | 0.928629i | ||||
\(532\) | −18.3904 | −0.0345684 | ||||||||
\(533\) | 36.4425 | − | 108.157i | 0.0683724 | − | 0.202922i | ||||
\(534\) | −40.9211 | + | 167.221i | −0.0766313 | + | 0.313148i | ||||
\(535\) | −407.916 | − | 310.090i | −0.762461 | − | 0.579607i | ||||
\(536\) | −23.7138 | − | 9.44846i | −0.0442422 | − | 0.0176277i | ||||
\(537\) | 45.5586 | + | 28.8806i | 0.0848391 | + | 0.0537813i | ||||
\(538\) | 999.709 | − | 462.515i | 1.85819 | − | 0.859693i | ||||
\(539\) | 215.030 | − | 145.794i | 0.398943 | − | 0.270490i | ||||
\(540\) | −312.974 | − | 56.4134i | −0.579581 | − | 0.104469i | ||||
\(541\) | 257.592 | − | 303.261i | 0.476141 | − | 0.560557i | −0.470685 | − | 0.882301i | \(-0.655993\pi\) |
0.946827 | + | 0.321744i | \(0.104269\pi\) | |||||||
\(542\) | 1004.18 | + | 278.810i | 1.85273 | + | 0.514409i | ||||
\(543\) | −79.2134 | + | 64.1637i | −0.145881 | + | 0.118165i | ||||
\(544\) | 435.737 | − | 821.887i | 0.800987 | − | 1.51082i | ||||
\(545\) | −10.3429 | − | 95.1011i | −0.0189777 | − | 0.174497i | ||||
\(546\) | 302.268 | − | 424.157i | 0.553605 | − | 0.776844i | ||||
\(547\) | 76.9415 | + | 277.118i | 0.140661 | + | 0.506615i | 0.999988 | − | 0.00481097i | \(-0.00153139\pi\) |
−0.859328 | + | 0.511426i | \(0.829118\pi\) | |||||||
\(548\) | 47.0137 | − | 101.618i | 0.0857914 | − | 0.185435i | ||||
\(549\) | −22.4171 | − | 23.3129i | −0.0408326 | − | 0.0424643i | ||||
\(550\) | −258.534 | + | 56.9077i | −0.470062 | + | 0.103468i | ||||
\(551\) | 6.63715 | + | 11.0310i | 0.0120456 | + | 0.0200200i | ||||
\(552\) | −6.65040 | − | 33.9701i | −0.0120478 | − | 0.0615401i | ||||
\(553\) | −139.572 | + | 205.853i | −0.252391 | + | 0.372248i | ||||
\(554\) | −766.684 | − | 125.692i | −1.38391 | − | 0.226880i | ||||
\(555\) | −187.162 | − | 503.608i | −0.337228 | − | 0.907402i | ||||
\(556\) | −434.124 | − | 411.224i | −0.780798 | − | 0.739611i | ||||
\(557\) | 82.4431 | + | 87.0342i | 0.148013 | + | 0.156255i | 0.795786 | − | 0.605578i | \(-0.207058\pi\) |
−0.647773 | + | 0.761833i | \(0.724299\pi\) | |||||||
\(558\) | 979.737 | − | 599.537i | 1.75580 | − | 1.07444i | ||||
\(559\) | −1137.34 | − | 250.348i | −2.03460 | − | 0.447849i | ||||
\(560\) | 42.5062 | + | 126.154i | 0.0759040 | + | 0.225275i | ||||
\(561\) | 224.940 | + | 310.693i | 0.400963 | + | 0.553820i | ||||
\(562\) | −333.082 | − | 73.3168i | −0.592672 | − | 0.130457i | ||||
\(563\) | 1053.44 | + | 57.1158i | 1.87112 | + | 0.101449i | 0.954480 | − | 0.298274i | \(-0.0964110\pi\) |
0.916636 | + | 0.399723i | \(0.130894\pi\) | |||||||
\(564\) | −138.286 | + | 246.745i | −0.245188 | + | 0.437492i | ||||
\(565\) | −92.7895 | − | 87.8949i | −0.164229 | − | 0.155566i | ||||
\(566\) | −585.766 | + | 31.7593i | −1.03492 | + | 0.0561119i | ||||
\(567\) | 180.361 | + | 104.869i | 0.318097 | + | 0.184955i | ||||
\(568\) | 10.4126 | − | 15.3574i | 0.0183320 | − | 0.0270377i | ||||
\(569\) | −51.7403 | + | 475.744i | −0.0909319 | + | 0.836105i | 0.856500 | + | 0.516147i | \(0.172634\pi\) |
−0.947432 | + | 0.319958i | \(0.896331\pi\) | |||||||
\(570\) | −36.2635 | − | 32.2890i | −0.0636202 | − | 0.0566473i | ||||
\(571\) | 101.635 | − | 22.3715i | 0.177995 | − | 0.0391796i | −0.125079 | − | 0.992147i | \(-0.539918\pi\) |
0.303073 | + | 0.952967i | \(0.401987\pi\) | |||||||
\(572\) | 556.167 | − | 91.1789i | 0.972319 | − | 0.159404i | ||||
\(573\) | −556.671 | − | 73.7208i | −0.971502 | − | 0.128658i | ||||
\(574\) | 9.11334 | + | 32.8233i | 0.0158769 | + | 0.0571834i | ||||
\(575\) | 203.871 | + | 268.187i | 0.354558 | + | 0.466413i | ||||
\(576\) | 393.981 | − | 339.767i | 0.683994 | − | 0.589873i | ||||
\(577\) | 316.687 | − | 597.335i | 0.548851 | − | 1.03524i | −0.441579 | − | 0.897223i | \(-0.645581\pi\) |
0.990429 | − | 0.138020i | \(-0.0440738\pi\) | |||||||
\(578\) | 378.348 | − | 150.748i | 0.654581 | − | 0.260809i | ||||
\(579\) | −111.039 | + | 3.42450i | −0.191777 | + | 0.00591451i | ||||
\(580\) | −52.3925 | + | 61.6813i | −0.0903320 | + | 0.106347i | ||||
\(581\) | 238.275 | − | 126.326i | 0.410112 | − | 0.217428i | ||||
\(582\) | −551.321 | − | 439.773i | −0.947288 | − | 0.755624i | ||||
\(583\) | 34.0482 | − | 15.7524i | 0.0584017 | − | 0.0270195i | ||||
\(584\) | −8.41042 | + | 7.14388i | −0.0144014 | + | 0.0122327i | ||||
\(585\) | 654.128 | − | 149.134i | 1.11817 | − | 0.254930i | ||||
\(586\) | 963.754 | + | 732.627i | 1.64463 | + | 1.25022i | ||||
\(587\) | 369.067 | − | 613.394i | 0.628734 | − | 1.04496i | −0.364763 | − | 0.931100i | \(-0.618850\pi\) |
0.993496 | − | 0.113863i | \(-0.0363225\pi\) | |||||||
\(588\) | 11.3006 | − | 484.197i | 0.0192187 | − | 0.823464i | ||||
\(589\) | 85.5614 | 0.145265 | ||||||||
\(590\) | −419.412 | − | 289.561i | −0.710867 | − | 0.490781i | ||||
\(591\) | 24.0701 | − | 7.48949i | 0.0407277 | − | 0.0126726i | ||||
\(592\) | 918.130 | + | 309.354i | 1.55090 | + | 0.522557i | ||||
\(593\) | −104.579 | + | 173.811i | −0.176355 | + | 0.293105i | −0.932409 | − | 0.361405i | \(-0.882297\pi\) |
0.756054 | + | 0.654509i | \(0.227125\pi\) | |||||||
\(594\) | 116.716 | + | 447.767i | 0.196492 | + | 0.753817i | ||||
\(595\) | −61.4401 | + | 154.203i | −0.103261 | + | 0.259165i | ||||
\(596\) | −602.532 | + | 511.795i | −1.01096 | + | 0.858717i | ||||
\(597\) | −616.813 | − | 682.370i | −1.03319 | − | 1.14300i | ||||
\(598\) | −824.972 | − | 1216.74i | −1.37955 | − | 2.03469i | ||||
\(599\) | −466.115 | + | 247.118i | −0.778155 | + | 0.412552i | −0.809621 | − | 0.586953i | \(-0.800327\pi\) |
0.0314659 | + | 0.999505i | \(0.489982\pi\) | |||||||
\(600\) | 9.60319 | − | 22.5568i | 0.0160053 | − | 0.0375946i | ||||
\(601\) | 95.6952 | − | 344.663i | 0.159227 | − | 0.573482i | −0.840282 | − | 0.542149i | \(-0.817611\pi\) |
0.999509 | − | 0.0313333i | \(-0.00997533\pi\) | |||||||
\(602\) | 322.902 | − | 128.656i | 0.536382 | − | 0.213714i | ||||
\(603\) | −50.1857 | − | 431.343i | −0.0832267 | − | 0.715328i | ||||
\(604\) | 77.0678 | − | 8.38163i | 0.127596 | − | 0.0138769i | ||||
\(605\) | 155.994 | + | 205.206i | 0.257841 | + | 0.339184i | ||||
\(606\) | 1226.16 | − | 790.236i | 2.02337 | − | 1.30402i | ||||
\(607\) | −92.9607 | − | 43.0082i | −0.153148 | − | 0.0708537i | 0.341818 | − | 0.939766i | \(-0.388957\pi\) |
−0.494966 | + | 0.868912i | \(0.664819\pi\) | |||||||
\(608\) | 82.4936 | − | 13.5241i | 0.135680 | − | 0.0222437i | ||||
\(609\) | 46.1195 | − | 26.3034i | 0.0757298 | − | 0.0431912i | ||||
\(610\) | 26.5988 | − | 16.0040i | 0.0436046 | − | 0.0262360i | ||||
\(611\) | 64.5178 | − | 593.232i | 0.105594 | − | 0.970919i | ||||
\(612\) | 715.062 | − | 5.36026i | 1.16840 | − | 0.00875859i | ||||
\(613\) | −114.317 | + | 697.301i | −0.186487 | + | 1.13752i | 0.713191 | + | 0.700970i | \(0.247249\pi\) |
−0.899679 | + | 0.436553i | \(0.856199\pi\) | |||||||
\(614\) | 433.373 | − | 23.4968i | 0.705819 | − | 0.0382684i | ||||
\(615\) | −19.3490 | + | 39.3839i | −0.0314618 | + | 0.0640388i | ||||
\(616\) | 6.06662 | − | 5.74661i | 0.00984841 | − | 0.00932891i | ||||
\(617\) | −774.324 | − | 41.9826i | −1.25498 | − | 0.0680432i | −0.585378 | − | 0.810761i | \(-0.699054\pi\) |
−0.669605 | + | 0.742718i | \(0.733536\pi\) | |||||||
\(618\) | 1036.87 | − | 88.3428i | 1.67778 | − | 0.142949i | ||||
\(619\) | 791.810 | − | 266.792i | 1.27918 | − | 0.431005i | 0.403978 | − | 0.914769i | \(-0.367627\pi\) |
0.875198 | + | 0.483764i | \(0.160731\pi\) | |||||||
\(620\) | 171.742 | + | 509.713i | 0.277004 | + | 0.822117i | ||||
\(621\) | 454.785 | − | 374.061i | 0.732343 | − | 0.602353i | ||||
\(622\) | −71.7234 | + | 1322.86i | −0.115311 | + | 2.12679i | ||||
\(623\) | 36.3706 | + | 38.3960i | 0.0583797 | + | 0.0616307i | ||||
\(624\) | −533.488 | + | 1085.89i | −0.854949 | + | 1.74020i | ||||
\(625\) | −0.0132959 | − | 0.245228i | −2.12734e−5 | − | 0.000392364i | ||||
\(626\) | 404.472 | + | 66.3099i | 0.646122 | + | 0.105926i | ||||
\(627\) | −9.99384 | + | 32.9883i | −0.0159391 | + | 0.0526130i | ||||
\(628\) | −919.499 | − | 100.002i | −1.46417 | − | 0.159238i | ||||
\(629\) | 622.824 | + | 1035.14i | 0.990182 | + | 1.64569i | ||||
\(630\) | −136.617 | + | 146.407i | −0.216852 | + | 0.232392i | ||||
\(631\) | −98.1898 | − | 598.931i | −0.155610 | − | 0.949178i | −0.943017 | − | 0.332744i | \(-0.892025\pi\) |
0.787407 | − | 0.616433i | \(-0.211423\pi\) | |||||||
\(632\) | 21.4499 | − | 46.3632i | 0.0339397 | − | 0.0733595i | ||||
\(633\) | 625.178 | − | 402.915i | 0.987643 | − | 0.636516i | ||||
\(634\) | −784.727 | + | 596.534i | −1.23774 | + | 0.940905i | ||||
\(635\) | −48.0008 | − | 441.360i | −0.0755918 | − | 0.695055i | ||||
\(636\) | 12.9221 | − | 68.7348i | 0.0203178 | − | 0.108074i | ||||
\(637\) | 378.198 | + | 949.206i | 0.593718 | + | 1.49012i | ||||
\(638\) | 113.464 | + | 31.5030i | 0.177843 | + | 0.0493777i | ||||
\(639\) | 314.040 | + | 31.7739i | 0.491455 | + | 0.0497244i | ||||
\(640\) | −24.4832 | − | 46.1802i | −0.0382550 | − | 0.0721565i | ||||
\(641\) | −146.120 | + | 99.0721i | −0.227957 | + | 0.154559i | −0.669819 | − | 0.742524i | \(-0.733628\pi\) |
0.441862 | + | 0.897083i | \(0.354318\pi\) | |||||||
\(642\) | 932.046 | + | 1031.11i | 1.45178 | + | 1.60609i | ||||
\(643\) | 95.8311 | + | 112.821i | 0.149037 | + | 0.175460i | 0.831615 | − | 0.555353i | \(-0.187417\pi\) |
−0.682577 | + | 0.730813i | \(0.739141\pi\) | |||||||
\(644\) | 198.862 | + | 79.2340i | 0.308792 | + | 0.123034i | ||||
\(645\) | 420.852 | + | 152.826i | 0.652484 | + | 0.236939i | ||||
\(646\) | 93.5514 | + | 56.2880i | 0.144816 | + | 0.0871332i | ||||
\(647\) | −12.9927 | + | 38.5609i | −0.0200814 | + | 0.0595995i | −0.957225 | − | 0.289344i | \(-0.906563\pi\) |
0.937144 | + | 0.348943i | \(0.113459\pi\) | |||||||
\(648\) | −40.0429 | − | 15.2630i | −0.0617946 | − | 0.0235540i | ||||
\(649\) | −61.5419 | + | 356.529i | −0.0948257 | + | 0.549351i | ||||
\(650\) | − | 1041.15i | − | 1.60178i | ||||||
\(651\) | 8.23322 | − | 352.768i | 0.0126470 | − | 0.541887i | ||||
\(652\) | −125.466 | − | 75.4903i | −0.192432 | − | 0.115783i | ||||
\(653\) | 200.187 | − | 263.341i | 0.306565 | − | 0.403279i | −0.616851 | − | 0.787080i | \(-0.711592\pi\) |
0.923416 | + | 0.383801i | \(0.125385\pi\) | |||||||
\(654\) | −20.0905 | + | 258.712i | −0.0307194 | + | 0.395585i | ||||
\(655\) | 298.716 | + | 351.676i | 0.456055 | + | 0.536910i | ||||
\(656\) | −33.2255 | − | 71.8158i | −0.0506487 | − | 0.109475i | ||||
\(657\) | −174.905 | − | 68.1739i | −0.266218 | − | 0.103766i | ||||
\(658\) | 83.4264 | + | 157.359i | 0.126788 | + | 0.239147i | ||||
\(659\) | −598.816 | − | 508.639i | −0.908674 | − | 0.771835i | 0.0654481 | − | 0.997856i | \(-0.479152\pi\) |
−0.974122 | + | 0.226021i | \(0.927428\pi\) | |||||||
\(660\) | −216.581 | + | 6.67946i | −0.328153 | + | 0.0101204i | ||||
\(661\) | −435.943 | − | 1094.13i | −0.659520 | − | 1.65527i | −0.751681 | − | 0.659527i | \(-0.770757\pi\) |
0.0921609 | − | 0.995744i | \(-0.470623\pi\) | |||||||
\(662\) | −1265.10 | − | 670.715i | −1.91103 | − | 1.01316i | ||||
\(663\) | −1383.57 | + | 601.322i | −2.08683 | + | 0.906971i | ||||
\(664\) | −44.0992 | + | 33.5233i | −0.0664144 | + | 0.0504869i | ||||
\(665\) | −14.3728 | + | 3.99060i | −0.0216133 | + | 0.00600090i | ||||
\(666\) | 246.550 | + | 1436.37i | 0.370196 | + | 2.15670i | ||||
\(667\) | −24.2435 | − | 147.879i | −0.0363470 | − | 0.221707i | ||||
\(668\) | 65.7965 | + | 298.916i | 0.0984977 | + | 0.447480i | ||||
\(669\) | −257.662 | − | 229.422i | −0.385145 | − | 0.342932i | ||||
\(670\) | 414.356 | + | 45.0639i | 0.618442 | + | 0.0672596i | ||||
\(671\) | −18.2395 | − | 12.3667i | −0.0271825 | − | 0.0184302i | ||||
\(672\) | −47.8219 | − | 341.422i | −0.0711635 | − | 0.508068i | ||||
\(673\) | 4.39956 | + | 81.1451i | 0.00653724 | + | 0.120572i | 0.999980 | + | 0.00624596i | \(0.00198816\pi\) |
−0.993443 | + | 0.114326i | \(0.963529\pi\) | |||||||
\(674\) | 943.937 | − | 996.502i | 1.40050 | − | 1.47849i | ||||
\(675\) | 415.272 | − | 38.5193i | 0.615217 | − | 0.0570656i | ||||
\(676\) | −85.1384 | + | 1570.29i | −0.125944 | + | 2.32291i | ||||
\(677\) | −268.075 | + | 1217.88i | −0.395975 | + | 1.79893i | 0.182470 | + | 0.983211i | \(0.441591\pi\) |
−0.578445 | + | 0.815721i | \(0.696340\pi\) | |||||||
\(678\) | 203.315 | + | 280.823i | 0.299874 | + | 0.414193i | ||||
\(679\) | −205.312 | + | 69.1777i | −0.302374 | + | 0.101882i | ||||
\(680\) | 7.32938 | − | 33.2977i | 0.0107785 | − | 0.0489672i | ||||
\(681\) | −241.384 | − | 955.323i | −0.354455 | − | 1.40282i | ||||
\(682\) | 568.180 | − | 538.209i | 0.833109 | − | 0.789163i | ||||
\(683\) | −503.588 | + | 531.632i | −0.737318 | + | 0.778378i | −0.981523 | − | 0.191346i | \(-0.938715\pi\) |
0.244204 | + | 0.969724i | \(0.421473\pi\) | |||||||
\(684\) | 39.2704 | + | 50.8634i | 0.0574129 | + | 0.0743617i | ||||
\(685\) | 14.6926 | − | 89.6207i | 0.0214490 | − | 0.130833i | ||||
\(686\) | −544.368 | − | 369.091i | −0.793540 | − | 0.538033i | ||||
\(687\) | −83.3443 | − | 425.721i | −0.121316 | − | 0.619682i | ||||
\(688\) | −691.837 | + | 416.264i | −1.00558 | + | 0.605036i | ||||
\(689\) | 31.7185 | + | 144.099i | 0.0460356 | + | 0.209142i | ||||
\(690\) | 253.016 | + | 505.393i | 0.366690 | + | 0.732453i | ||||
\(691\) | 424.718 | + | 196.496i | 0.614643 | + | 0.284364i | 0.702405 | − | 0.711777i | \(-0.252109\pi\) |
−0.0877621 | + | 0.996141i | \(0.527972\pi\) | |||||||
\(692\) | 1067.58 | − | 296.412i | 1.54274 | − | 0.428341i | ||||
\(693\) | 135.049 | + | 44.3788i | 0.194876 | + | 0.0640387i | ||||
\(694\) | −837.554 | + | 91.0895i | −1.20685 | + | 0.131253i | ||||
\(695\) | −428.519 | − | 227.186i | −0.616574 | − | 0.326887i | ||||
\(696\) | −8.47407 | + | 6.86409i | −0.0121754 | + | 0.00986220i | ||||
\(697\) | 26.3963 | − | 95.0710i | 0.0378714 | − | 0.136400i | ||||
\(698\) | −1021.19 | − | 867.411i | −1.46303 | − | 1.24271i | ||||
\(699\) | −333.797 | − | 331.304i | −0.477535 | − | 0.473969i | ||||
\(700\) | 85.0822 | + | 125.487i | 0.121546 | + | 0.179267i | ||||
\(701\) | 309.916 | + | 669.871i | 0.442105 | + | 0.955594i | 0.992676 | + | 0.120806i | \(0.0385479\pi\) |
−0.550571 | + | 0.834788i | \(0.685590\pi\) | |||||||
\(702\) | −1818.57 | + | 69.7343i | −2.59056 | + | 0.0993366i | ||||
\(703\) | −40.1823 | + | 100.850i | −0.0571584 | + | 0.143457i | ||||
\(704\) | 214.521 | − | 282.198i | 0.304718 | − | 0.400849i | ||||
\(705\) | −54.5340 | + | 222.849i | −0.0773531 | + | 0.316098i | ||||
\(706\) | −1841.87 | − | 620.597i | −2.60887 | − | 0.879032i | ||||
\(707\) | − | 448.138i | − | 0.633858i | ||||||
\(708\) | 474.699 | + | 479.169i | 0.670479 | + | 0.676792i | ||||
\(709\) | 1140.45 | 1.60854 | 0.804268 | − | 0.594267i | \(-0.202558\pi\) | ||||
0.804268 | + | 0.594267i | \(0.202558\pi\) | |||||||
\(710\) | −96.7347 | + | 287.098i | −0.136246 | + | 0.404364i | ||||
\(711\) | 867.380 | − | 53.5518i | 1.21994 | − | 0.0753190i | ||||
\(712\) | −8.64799 | − | 6.57403i | −0.0121461 | − | 0.00923319i | ||||
\(713\) | −925.208 | − | 368.637i | −1.29763 | − | 0.517022i | ||||
\(714\) | 241.077 | − | 380.295i | 0.337643 | − | 0.532626i | ||||
\(715\) | 414.882 | − | 191.945i | 0.580254 | − | 0.268454i | ||||
\(716\) | 56.7117 | − | 38.4515i | 0.0792063 | − | 0.0537032i | ||||
\(717\) | −217.533 | − | 215.909i | −0.303393 | − | 0.301128i | ||||
\(718\) | 274.024 | − | 322.606i | 0.381649 | − | 0.449312i | ||||
\(719\) | 6.69354 | + | 1.85845i | 0.00930951 | + | 0.00258477i | 0.272180 | − | 0.962246i | \(-0.412255\pi\) |
−0.262870 | + | 0.964831i | \(0.584669\pi\) | |||||||
\(720\) | 258.145 | − | 386.949i | 0.358535 | − | 0.537429i | ||||
\(721\) | 149.745 | − | 282.448i | 0.207690 | − | 0.391745i | ||||
\(722\) | −108.022 | − | 993.241i | −0.149614 | − | 1.37568i | ||||
\(723\) | 814.420 | + | 580.382i | 1.12644 | + | 0.802741i | ||||
\(724\) | 34.6416 | + | 124.768i | 0.0478475 | + | 0.172331i | ||||
\(725\) | 44.5638 | − | 96.3231i | 0.0614674 | − | 0.132860i | ||||
\(726\) | −313.015 | − | 625.238i | −0.431150 | − | 0.861209i | ||||
\(727\) | 785.416 | − | 172.883i | 1.08035 | − | 0.237803i | 0.361082 | − | 0.932534i | \(-0.382408\pi\) |
0.719270 | + | 0.694731i | \(0.244476\pi\) | |||||||
\(728\) | 16.9438 | + | 28.1608i | 0.0232744 | + | 0.0386824i | ||||
\(729\) | −95.0953 | − | 722.771i | −0.130446 | − | 0.991455i | ||||
\(730\) | 101.113 | − | 149.131i | 0.138511 | − | 0.204289i | ||||
\(731\) | −993.512 | − | 162.878i | −1.35911 | − | 0.222815i | ||||
\(732\) | −38.5087 | + | 14.3114i | −0.0526075 | + | 0.0195511i | ||||
\(733\) | 312.835 | + | 296.333i | 0.426787 | + | 0.404274i | 0.870715 | − | 0.491789i | \(-0.163657\pi\) |
−0.443928 | + | 0.896063i | \(0.646415\pi\) | |||||||
\(734\) | 120.605 | + | 127.321i | 0.164312 | + | 0.173462i | ||||
\(735\) | −96.2359 | − | 380.872i | −0.130933 | − | 0.518193i | ||||
\(736\) | −950.304 | − | 209.178i | −1.29117 | − | 0.284209i | ||||
\(737\) | −94.4754 | − | 280.393i | −0.128189 | − | 0.380452i | ||||
\(738\) | 71.3210 | − | 95.2955i | 0.0966409 | − | 0.129127i | ||||
\(739\) | −860.862 | − | 189.490i | −1.16490 | − | 0.256414i | −0.409896 | − | 0.912132i | \(-0.634435\pi\) |
−0.755006 | + | 0.655718i | \(0.772366\pi\) | |||||||
\(740\) | −681.448 | − | 36.9470i | −0.920875 | − | 0.0499284i | ||||
\(741\) | −118.260 | − | 66.2777i | −0.159595 | − | 0.0894435i | ||||
\(742\) | −31.9720 | − | 30.2855i | −0.0430889 | − | 0.0408160i | ||||
\(743\) | 745.662 | − | 40.4286i | 1.00358 | − | 0.0544127i | 0.454985 | − | 0.890499i | \(-0.349645\pi\) |
0.548598 | + | 0.836086i | \(0.315162\pi\) | |||||||
\(744\) | 10.0537 | + | 71.7776i | 0.0135130 | + | 0.0964753i | ||||
\(745\) | −359.847 | + | 530.735i | −0.483016 | + | 0.712396i | ||||
\(746\) | −140.804 | + | 1294.67i | −0.188745 | + | 1.73549i | ||||
\(747\) | −858.194 | − | 389.260i | −1.14885 | − | 0.521097i | ||||
\(748\) | 475.836 | − | 104.739i | 0.636144 | − | 0.140026i | ||||
\(749\) | 421.370 | − | 69.0801i | 0.562577 | − | 0.0922297i | ||||
\(750\) | −137.608 | + | 1039.09i | −0.183478 | + | 1.38545i | ||||
\(751\) | 251.710 | + | 906.576i | 0.335166 | + | 1.20716i | 0.918663 | + | 0.395043i | \(0.129270\pi\) |
−0.583497 | + | 0.812116i | \(0.698316\pi\) | |||||||
\(752\) | −250.374 | − | 329.361i | −0.332944 | − | 0.437980i | ||||
\(753\) | −171.489 | + | 74.5323i | −0.227741 | + | 0.0989804i | ||||
\(754\) | −216.935 | + | 409.183i | −0.287713 | + | 0.542683i | ||||
\(755\) | 58.4129 | − | 23.2738i | 0.0773681 | − | 0.0308263i | ||||
\(756\) | 213.488 | − | 157.017i | 0.282392 | − | 0.207695i | ||||
\(757\) | −130.817 | + | 154.009i | −0.172809 | + | 0.203447i | −0.841748 | − | 0.539871i | \(-0.818473\pi\) |
0.668938 | + | 0.743318i | \(0.266749\pi\) | |||||||
\(758\) | −1054.91 | + | 559.280i | −1.39171 | + | 0.737836i | ||||
\(759\) | 250.196 | − | 313.658i | 0.329639 | − | 0.413251i | ||||
\(760\) | 2.78068 | − | 1.28648i | 0.00365879 | − | 0.00169274i | ||||
\(761\) | −187.680 | + | 159.417i | −0.246622 | + | 0.209483i | −0.762168 | − | 0.647379i | \(-0.775865\pi\) |
0.515546 | + | 0.856862i | \(0.327589\pi\) | |||||||
\(762\) | −93.2389 | + | 1200.67i | −0.122361 | + | 1.57569i | ||||
\(763\) | 63.4626 | + | 48.2430i | 0.0831751 | + | 0.0632281i | ||||
\(764\) | −367.732 | + | 611.175i | −0.481324 | + | 0.799967i | ||||
\(765\) | 557.687 | − | 159.353i | 0.729003 | − | 0.208305i | ||||
\(766\) | −889.167 | −1.16079 | ||||||||
\(767\) | −1317.41 | − | 537.822i | −1.71761 | − | 0.701202i | ||||
\(768\) | 248.216 | + | 797.729i | 0.323198 | + | 1.03871i | ||||
\(769\) | 875.543 | + | 295.005i | 1.13855 | + | 0.383621i | 0.824543 | − | 0.565800i | \(-0.191433\pi\) |
0.314005 | + | 0.949421i | \(0.398329\pi\) | |||||||
\(770\) | −70.3424 | + | 116.910i | −0.0913537 | + | 0.151831i | ||||
\(771\) | 1150.52 | + | 417.791i | 1.49224 | + | 0.541882i | ||||
\(772\) | −52.2312 | + | 131.090i | −0.0676569 | + | 0.169806i | ||||
\(773\) | −673.866 | + | 572.387i | −0.871754 | + | 0.740474i | −0.966945 |