Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 55.6 | ||
Character | \(\chi\) | \(=\) | 588.55 |
Dual form | 588.2.x.b.139.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.14486 | − | 0.830241i | −0.809537 | − | 0.587069i | ||||
\(3\) | 0.900969 | + | 0.433884i | 0.520175 | + | 0.250503i | ||||
\(4\) | 0.621399 | + | 1.90102i | 0.310699 | + | 0.950508i | ||||
\(5\) | −0.591080 | + | 1.22739i | −0.264339 | + | 0.548905i | −0.990319 | − | 0.138810i | \(-0.955672\pi\) |
0.725980 | + | 0.687716i | \(0.241386\pi\) | |||||||
\(6\) | −0.671253 | − | 1.24476i | −0.274038 | − | 0.508170i | ||||
\(7\) | 2.62768 | − | 0.308728i | 0.993169 | − | 0.116688i | ||||
\(8\) | 0.866889 | − | 2.69230i | 0.306492 | − | 0.951873i | ||||
\(9\) | 0.623490 | + | 0.781831i | 0.207830 | + | 0.260610i | ||||
\(10\) | 1.69573 | − | 0.914448i | 0.536237 | − | 0.289174i | ||||
\(11\) | 1.96619 | + | 1.56798i | 0.592829 | + | 0.472765i | 0.873357 | − | 0.487081i | \(-0.161938\pi\) |
−0.280528 | + | 0.959846i | \(0.590510\pi\) | |||||||
\(12\) | −0.264959 | + | 1.98237i | −0.0764871 | + | 0.572261i | ||||
\(13\) | −0.175437 | − | 0.139906i | −0.0486575 | − | 0.0388030i | 0.598859 | − | 0.800854i | \(-0.295621\pi\) |
−0.647517 | + | 0.762051i | \(0.724192\pi\) | |||||||
\(14\) | −3.26464 | − | 1.82816i | −0.872511 | − | 0.488595i | ||||
\(15\) | −1.06509 | + | 0.849380i | −0.275005 | + | 0.219309i | ||||
\(16\) | −3.22773 | + | 2.36258i | −0.806932 | + | 0.590645i | ||||
\(17\) | −3.14743 | − | 0.718380i | −0.763364 | − | 0.174233i | −0.176923 | − | 0.984225i | \(-0.556614\pi\) |
−0.586441 | + | 0.809992i | \(0.699471\pi\) | |||||||
\(18\) | −0.0646984 | − | 1.41273i | −0.0152496 | − | 0.332984i | ||||
\(19\) | 3.11588 | 0.714831 | 0.357416 | − | 0.933945i | \(-0.383658\pi\) | ||||
0.357416 | + | 0.933945i | \(0.383658\pi\) | |||||||
\(20\) | −2.70058 | − | 0.360954i | −0.603869 | − | 0.0807117i | ||||
\(21\) | 2.50141 | + | 0.861952i | 0.545852 | + | 0.188093i | ||||
\(22\) | −0.949203 | − | 3.42753i | −0.202371 | − | 0.730752i | ||||
\(23\) | −2.60135 | + | 0.593740i | −0.542418 | + | 0.123803i | −0.484947 | − | 0.874544i | \(-0.661161\pi\) |
−0.0574715 | + | 0.998347i | \(0.518304\pi\) | |||||||
\(24\) | 1.94919 | − | 2.04955i | 0.397876 | − | 0.418363i | ||||
\(25\) | 1.96034 | + | 2.45819i | 0.392068 | + | 0.491637i | ||||
\(26\) | 0.0846944 | + | 0.305828i | 0.0166099 | + | 0.0599778i | ||||
\(27\) | 0.222521 | + | 0.974928i | 0.0428242 | + | 0.187625i | ||||
\(28\) | 2.21973 | + | 4.80341i | 0.419490 | + | 0.907760i | ||||
\(29\) | −0.266738 | + | 1.16865i | −0.0495319 | + | 0.217014i | −0.993637 | − | 0.112632i | \(-0.964072\pi\) |
0.944105 | + | 0.329645i | \(0.106929\pi\) | |||||||
\(30\) | 1.92457 | − | 0.0881386i | 0.351376 | − | 0.0160918i | ||||
\(31\) | 6.32449 | 1.13591 | 0.567956 | − | 0.823059i | \(-0.307734\pi\) | ||||
0.567956 | + | 0.823059i | \(0.307734\pi\) | |||||||
\(32\) | 5.65680 | − | 0.0250245i | 0.999990 | − | 0.00442375i | ||||
\(33\) | 1.09115 | + | 2.26580i | 0.189945 | + | 0.394426i | ||||
\(34\) | 3.00693 | + | 3.43557i | 0.515684 | + | 0.589195i | ||||
\(35\) | −1.17424 | + | 3.40767i | −0.198482 | + | 0.576001i | ||||
\(36\) | −1.09884 | + | 1.67109i | −0.183140 | + | 0.278516i | ||||
\(37\) | −1.96670 | + | 8.61669i | −0.323324 | + | 1.41657i | 0.508274 | + | 0.861196i | \(0.330284\pi\) |
−0.831597 | + | 0.555379i | \(0.812573\pi\) | |||||||
\(38\) | −3.56724 | − | 2.58693i | −0.578682 | − | 0.419655i | ||||
\(39\) | −0.0973602 | − | 0.202171i | −0.0155901 | − | 0.0323732i | ||||
\(40\) | 2.79211 | + | 2.65538i | 0.441471 | + | 0.419852i | ||||
\(41\) | −0.338541 | + | 0.702987i | −0.0528712 | + | 0.109788i | −0.925731 | − | 0.378184i | \(-0.876549\pi\) |
0.872859 | + | 0.487972i | \(0.162263\pi\) | |||||||
\(42\) | −2.14813 | − | 3.06358i | −0.331463 | − | 0.472721i | ||||
\(43\) | −1.59410 | − | 3.31018i | −0.243097 | − | 0.504797i | 0.743344 | − | 0.668909i | \(-0.233238\pi\) |
−0.986442 | + | 0.164112i | \(0.947524\pi\) | |||||||
\(44\) | −1.75898 | + | 4.71210i | −0.265176 | + | 0.710376i | ||||
\(45\) | −1.32814 | + | 0.303140i | −0.197988 | + | 0.0451895i | ||||
\(46\) | 3.47112 | + | 1.48000i | 0.511789 | + | 0.218214i | ||||
\(47\) | −0.508264 | + | 0.637342i | −0.0741379 | + | 0.0929659i | −0.817517 | − | 0.575904i | \(-0.804650\pi\) |
0.743380 | + | 0.668870i | \(0.233222\pi\) | |||||||
\(48\) | −3.93317 | + | 0.728152i | −0.567704 | + | 0.105100i | ||||
\(49\) | 6.80937 | − | 1.62248i | 0.972768 | − | 0.231782i | ||||
\(50\) | −0.203421 | − | 4.44183i | −0.0287680 | − | 0.628170i | ||||
\(51\) | −2.52404 | − | 2.01286i | −0.353437 | − | 0.281856i | ||||
\(52\) | 0.156948 | − | 0.420446i | 0.0217648 | − | 0.0583054i | ||||
\(53\) | 0.711489 | + | 3.11723i | 0.0977305 | + | 0.428185i | 0.999996 | − | 0.00299671i | \(-0.000953884\pi\) |
−0.902265 | + | 0.431182i | \(0.858097\pi\) | |||||||
\(54\) | 0.554671 | − | 1.30090i | 0.0754811 | − | 0.177030i | ||||
\(55\) | −3.08670 | + | 1.48648i | −0.416211 | + | 0.200437i | ||||
\(56\) | 1.44671 | − | 7.34214i | 0.193325 | − | 0.981135i | ||||
\(57\) | 2.80731 | + | 1.35193i | 0.371837 | + | 0.179067i | ||||
\(58\) | 1.27564 | − | 1.11649i | 0.167500 | − | 0.146602i | ||||
\(59\) | 7.65877 | − | 3.68827i | 0.997087 | − | 0.480172i | 0.137138 | − | 0.990552i | \(-0.456210\pi\) |
0.859949 | + | 0.510380i | \(0.170495\pi\) | |||||||
\(60\) | −2.27653 | − | 1.49695i | −0.293899 | − | 0.193255i | ||||
\(61\) | 5.41714 | + | 1.23643i | 0.693594 | + | 0.158308i | 0.554764 | − | 0.832008i | \(-0.312809\pi\) |
0.138830 | + | 0.990316i | \(0.455666\pi\) | |||||||
\(62\) | −7.24064 | − | 5.25085i | −0.919562 | − | 0.666859i | ||||
\(63\) | 1.87970 | + | 1.86191i | 0.236820 | + | 0.234579i | ||||
\(64\) | −6.49701 | − | 4.66786i | −0.812126 | − | 0.583482i | ||||
\(65\) | 0.275417 | − | 0.132634i | 0.0341613 | − | 0.0164512i | ||||
\(66\) | 0.631948 | − | 3.49994i | 0.0777874 | − | 0.430813i | ||||
\(67\) | − | 0.877687i | − | 0.107226i | −0.998562 | − | 0.0536132i | \(-0.982926\pi\) | ||
0.998562 | − | 0.0536132i | \(-0.0170738\pi\) | |||||||
\(68\) | −0.590156 | − | 6.42971i | −0.0715669 | − | 0.779717i | ||||
\(69\) | −2.60135 | − | 0.593740i | −0.313165 | − | 0.0714779i | ||||
\(70\) | 4.17352 | − | 2.92639i | 0.498831 | − | 0.349771i | ||||
\(71\) | −10.0455 | + | 2.29281i | −1.19218 | + | 0.272107i | −0.772171 | − | 0.635415i | \(-0.780829\pi\) |
−0.420006 | + | 0.907521i | \(0.637972\pi\) | |||||||
\(72\) | 2.64542 | − | 1.00086i | 0.311766 | − | 0.117953i | ||||
\(73\) | 1.55192 | − | 1.23762i | 0.181639 | − | 0.144852i | −0.528449 | − | 0.848965i | \(-0.677226\pi\) |
0.710088 | + | 0.704113i | \(0.248655\pi\) | |||||||
\(74\) | 9.40552 | − | 8.23204i | 1.09337 | − | 0.956956i | ||||
\(75\) | 0.699637 | + | 3.06531i | 0.0807871 | + | 0.353951i | ||||
\(76\) | 1.93620 | + | 5.92333i | 0.222098 | + | 0.679453i | ||||
\(77\) | 5.65059 | + | 3.51314i | 0.643945 | + | 0.400359i | ||||
\(78\) | −0.0563867 | + | 0.312289i | −0.00638454 | + | 0.0353598i | ||||
\(79\) | − | 16.0542i | − | 1.80623i | −0.429394 | − | 0.903117i | \(-0.641273\pi\) | ||
0.429394 | − | 0.903117i | \(-0.358727\pi\) | |||||||
\(80\) | −0.991961 | − | 5.35815i | −0.110905 | − | 0.599059i | ||||
\(81\) | −0.222521 | + | 0.974928i | −0.0247245 | + | 0.108325i | ||||
\(82\) | 0.971230 | − | 0.523750i | 0.107254 | − | 0.0578385i | ||||
\(83\) | 4.10730 | + | 5.15040i | 0.450835 | + | 0.565329i | 0.954363 | − | 0.298650i | \(-0.0965362\pi\) |
−0.503528 | + | 0.863979i | \(0.667965\pi\) | |||||||
\(84\) | −0.0842126 | + | 5.29083i | −0.00918835 | + | 0.577277i | ||||
\(85\) | 2.74211 | − | 3.43850i | 0.297424 | − | 0.372958i | ||||
\(86\) | −0.923231 | + | 5.11317i | −0.0995545 | + | 0.551367i | ||||
\(87\) | −0.747382 | + | 0.937188i | −0.0801278 | + | 0.100477i | ||||
\(88\) | 5.92596 | − | 3.93431i | 0.631710 | − | 0.419399i | ||||
\(89\) | 3.44935 | − | 2.75076i | 0.365630 | − | 0.291580i | −0.423390 | − | 0.905947i | \(-0.639160\pi\) |
0.789020 | + | 0.614367i | \(0.210589\pi\) | |||||||
\(90\) | 1.77222 | + | 0.755628i | 0.186808 | + | 0.0796501i | ||||
\(91\) | −0.504185 | − | 0.313466i | −0.0528529 | − | 0.0328602i | ||||
\(92\) | −2.74518 | − | 4.57625i | −0.286205 | − | 0.477107i | ||||
\(93\) | 5.69817 | + | 2.74409i | 0.590872 | + | 0.284549i | ||||
\(94\) | 1.11104 | − | 0.307685i | 0.114595 | − | 0.0317353i | ||||
\(95\) | −1.84173 | + | 3.82439i | −0.188958 | + | 0.392375i | ||||
\(96\) | 5.10746 | + | 2.43185i | 0.521278 | + | 0.248199i | ||||
\(97\) | 12.2744i | 1.24627i | 0.782113 | + | 0.623137i | \(0.214142\pi\) | ||||
−0.782113 | + | 0.623137i | \(0.785858\pi\) | |||||||
\(98\) | −9.14281 | − | 3.79592i | −0.923563 | − | 0.383446i | ||||
\(99\) | 2.51485i | 0.252752i | ||||||||
\(100\) | −3.45490 | + | 5.25415i | −0.345490 | + | 0.525415i | ||||
\(101\) | 6.69005 | − | 13.8920i | 0.665685 | − | 1.38231i | −0.245129 | − | 0.969490i | \(-0.578830\pi\) |
0.910814 | − | 0.412818i | \(-0.135455\pi\) | |||||||
\(102\) | 1.21851 | + | 4.40000i | 0.120651 | + | 0.435665i | ||||
\(103\) | −11.0291 | − | 5.31133i | −1.08673 | − | 0.523341i | −0.197267 | − | 0.980350i | \(-0.563207\pi\) |
−0.889462 | + | 0.457009i | \(0.848921\pi\) | |||||||
\(104\) | −0.528755 | + | 0.351047i | −0.0518487 | + | 0.0344230i | ||||
\(105\) | −2.53648 | + | 2.56072i | −0.247535 | + | 0.249901i | ||||
\(106\) | 1.77350 | − | 4.15950i | 0.172258 | − | 0.404006i | ||||
\(107\) | 3.34312 | − | 2.66605i | 0.323192 | − | 0.257737i | −0.448431 | − | 0.893818i | \(-0.648017\pi\) |
0.771623 | + | 0.636081i | \(0.219445\pi\) | |||||||
\(108\) | −1.71508 | + | 1.02884i | −0.165034 | + | 0.0989997i | ||||
\(109\) | −7.24215 | + | 9.08137i | −0.693672 | + | 0.869837i | −0.996533 | − | 0.0831975i | \(-0.973487\pi\) |
0.302861 | + | 0.953035i | \(0.402058\pi\) | |||||||
\(110\) | 4.76797 | + | 0.860903i | 0.454608 | + | 0.0820838i | ||||
\(111\) | −5.51058 | + | 6.91005i | −0.523041 | + | 0.655873i | ||||
\(112\) | −7.75203 | + | 7.20459i | −0.732498 | + | 0.680769i | ||||
\(113\) | −5.65668 | − | 7.09325i | −0.532136 | − | 0.667277i | 0.441001 | − | 0.897507i | \(-0.354624\pi\) |
−0.973136 | + | 0.230230i | \(0.926052\pi\) | |||||||
\(114\) | −2.09154 | − | 3.87851i | −0.195891 | − | 0.363256i | ||||
\(115\) | 0.808852 | − | 3.54381i | 0.0754259 | − | 0.330462i | ||||
\(116\) | −2.38738 | + | 0.219128i | −0.221663 | + | 0.0203455i | ||||
\(117\) | − | 0.224392i | − | 0.0207451i | ||||||
\(118\) | −11.8304 | − | 2.13608i | −1.08907 | − | 0.196642i | ||||
\(119\) | −8.49221 | − | 0.915970i | −0.778480 | − | 0.0839668i | ||||
\(120\) | 1.36348 | + | 3.60386i | 0.124468 | + | 0.328986i | ||||
\(121\) | −1.04040 | − | 4.55829i | −0.0945819 | − | 0.414390i | ||||
\(122\) | −5.17533 | − | 5.91307i | −0.468552 | − | 0.535344i | ||||
\(123\) | −0.610029 | + | 0.486482i | −0.0550045 | + | 0.0438646i | ||||
\(124\) | 3.93003 | + | 12.0230i | 0.352927 | + | 1.07969i | ||||
\(125\) | −10.8166 | + | 2.46882i | −0.967465 | + | 0.220818i | ||||
\(126\) | −0.606157 | − | 3.69223i | −0.0540008 | − | 0.328930i | ||||
\(127\) | −11.4478 | − | 2.61289i | −1.01583 | − | 0.231857i | −0.317978 | − | 0.948098i | \(-0.603004\pi\) |
−0.697853 | + | 0.716241i | \(0.745861\pi\) | |||||||
\(128\) | 3.56270 | + | 10.7381i | 0.314901 | + | 0.949124i | ||||
\(129\) | − | 3.67402i | − | 0.323479i | ||||||
\(130\) | −0.425431 | − | 0.0768156i | −0.0373128 | − | 0.00673718i | ||||
\(131\) | −3.23391 | + | 1.55737i | −0.282548 | + | 0.136068i | −0.569791 | − | 0.821790i | \(-0.692976\pi\) |
0.287243 | + | 0.957858i | \(0.407261\pi\) | |||||||
\(132\) | −3.62929 | + | 3.48227i | −0.315889 | + | 0.303093i | ||||
\(133\) | 8.18752 | − | 0.961960i | 0.709948 | − | 0.0834125i | ||||
\(134\) | −0.728692 | + | 1.00483i | −0.0629494 | + | 0.0868038i | ||||
\(135\) | −1.32814 | − | 0.303140i | −0.114308 | − | 0.0260902i | ||||
\(136\) | −4.66257 | + | 7.85108i | −0.399812 | + | 0.673225i | ||||
\(137\) | −8.55323 | + | 4.11902i | −0.730752 | + | 0.351912i | −0.761980 | − | 0.647601i | \(-0.775772\pi\) |
0.0312280 | + | 0.999512i | \(0.490058\pi\) | |||||||
\(138\) | 2.48522 | + | 2.83949i | 0.211556 | + | 0.241714i | ||||
\(139\) | 4.62844 | + | 2.22894i | 0.392579 | + | 0.189056i | 0.619751 | − | 0.784799i | \(-0.287234\pi\) |
−0.227172 | + | 0.973855i | \(0.572948\pi\) | |||||||
\(140\) | −7.20770 | − | 0.114723i | −0.609162 | − | 0.00969584i | ||||
\(141\) | −0.734462 | + | 0.353698i | −0.0618529 | + | 0.0297868i | ||||
\(142\) | 13.4042 | + | 5.71521i | 1.12486 | + | 0.479610i | ||||
\(143\) | −0.125572 | − | 0.550165i | −0.0105008 | − | 0.0460071i | ||||
\(144\) | −3.85959 | − | 1.05049i | −0.321633 | − | 0.0875412i | ||||
\(145\) | −1.27673 | − | 1.01816i | −0.106027 | − | 0.0845535i | ||||
\(146\) | −2.80425 | + | 0.128425i | −0.232082 | + | 0.0106286i | ||||
\(147\) | 6.83900 | + | 1.49267i | 0.564071 | + | 0.123114i | ||||
\(148\) | −17.6026 | + | 1.61567i | −1.44692 | + | 0.132807i | ||||
\(149\) | 10.3988 | − | 13.0397i | 0.851905 | − | 1.06826i | −0.144984 | − | 0.989434i | \(-0.546313\pi\) |
0.996889 | − | 0.0788212i | \(-0.0251156\pi\) | |||||||
\(150\) | 1.74396 | − | 4.09021i | 0.142394 | − | 0.333964i | ||||
\(151\) | −10.9878 | + | 2.50790i | −0.894175 | + | 0.204090i | −0.644831 | − | 0.764325i | \(-0.723072\pi\) |
−0.249344 | + | 0.968415i | \(0.580215\pi\) | |||||||
\(152\) | 2.70112 | − | 8.38889i | 0.219090 | − | 0.680429i | ||||
\(153\) | −1.40074 | − | 2.90866i | −0.113243 | − | 0.235151i | ||||
\(154\) | −3.55238 | − | 8.71340i | −0.286259 | − | 0.702146i | ||||
\(155\) | −3.73828 | + | 7.76261i | −0.300266 | + | 0.623508i | ||||
\(156\) | 0.323830 | − | 0.310712i | 0.0259272 | − | 0.0248769i | ||||
\(157\) | 2.04439 | + | 4.24523i | 0.163160 | + | 0.338806i | 0.966480 | − | 0.256742i | \(-0.0826492\pi\) |
−0.803320 | + | 0.595548i | \(0.796935\pi\) | |||||||
\(158\) | −13.3288 | + | 18.3797i | −1.06038 | + | 1.46221i | ||||
\(159\) | −0.711489 | + | 3.11723i | −0.0564247 | + | 0.247213i | ||||
\(160\) | −3.31290 | + | 6.95789i | −0.261908 | + | 0.550069i | ||||
\(161\) | −6.65219 | + | 2.36327i | −0.524266 | + | 0.186252i | ||||
\(162\) | 1.06418 | − | 0.931408i | 0.0836099 | − | 0.0731783i | ||||
\(163\) | −10.8059 | − | 22.4387i | −0.846383 | − | 1.75753i | −0.621975 | − | 0.783037i | \(-0.713670\pi\) |
−0.224408 | − | 0.974495i | \(-0.572045\pi\) | |||||||
\(164\) | −1.54676 | − | 0.206736i | −0.120782 | − | 0.0161434i | ||||
\(165\) | −3.42598 | −0.266712 | ||||||||
\(166\) | −0.426207 | − | 9.30652i | −0.0330801 | − | 0.722326i | ||||
\(167\) | 5.37256 | − | 23.5387i | 0.415741 | − | 1.82148i | −0.140032 | − | 0.990147i | \(-0.544721\pi\) |
0.555773 | − | 0.831334i | \(-0.312422\pi\) | |||||||
\(168\) | 4.48908 | − | 5.98733i | 0.346340 | − | 0.461933i | ||||
\(169\) | −2.88157 | − | 12.6250i | −0.221659 | − | 0.971152i | ||||
\(170\) | −5.99412 | + | 1.65998i | −0.459728 | + | 0.127315i | ||||
\(171\) | 1.94272 | + | 2.43609i | 0.148563 | + | 0.186292i | ||||
\(172\) | 5.30213 | − | 5.08734i | 0.404284 | − | 0.387906i | ||||
\(173\) | −5.72982 | + | 1.30779i | −0.435630 | + | 0.0994297i | −0.434711 | − | 0.900570i | \(-0.643150\pi\) |
−0.000918777 | 1.00000i | \(0.500292\pi\) | ||||||||
\(174\) | 1.63374 | − | 0.452439i | 0.123853 | − | 0.0342993i | ||||
\(175\) | 5.91005 | + | 5.85411i | 0.446758 | + | 0.442529i | ||||
\(176\) | −10.0508 | − | 0.415746i | −0.757609 | − | 0.0313381i | ||||
\(177\) | 8.50060 | 0.638944 | ||||||||
\(178\) | −6.23281 | + | 0.285442i | −0.467169 | + | 0.0213947i | ||||
\(179\) | 19.8334 | + | 4.52685i | 1.48242 | + | 0.338352i | 0.885760 | − | 0.464143i | \(-0.153638\pi\) |
0.596658 | + | 0.802495i | \(0.296495\pi\) | |||||||
\(180\) | −1.40158 | − | 2.33645i | −0.104468 | − | 0.174149i | ||||
\(181\) | −14.6060 | + | 11.6479i | −1.08566 | + | 0.865783i | −0.991543 | − | 0.129779i | \(-0.958573\pi\) |
−0.0941143 | + | 0.995561i | \(0.530002\pi\) | |||||||
\(182\) | 0.316967 | + | 0.777470i | 0.0234952 | + | 0.0576299i | ||||
\(183\) | 4.34421 | + | 3.46439i | 0.321133 | + | 0.256095i | ||||
\(184\) | −0.656549 | + | 7.51832i | −0.0484014 | + | 0.554258i | ||||
\(185\) | −9.41355 | − | 7.50706i | −0.692098 | − | 0.551930i | ||||
\(186\) | −4.24533 | − | 7.87245i | −0.311283 | − | 0.577236i | ||||
\(187\) | −5.06203 | − | 6.34759i | −0.370173 | − | 0.464182i | ||||
\(188\) | −1.52743 | − | 0.570174i | −0.111399 | − | 0.0415842i | ||||
\(189\) | 0.885701 | + | 2.49310i | 0.0644253 | + | 0.181346i | ||||
\(190\) | 5.28369 | − | 2.84931i | 0.383319 | − | 0.206710i | ||||
\(191\) | −6.73365 | + | 13.9826i | −0.487230 | + | 1.01174i | 0.501931 | + | 0.864908i | \(0.332623\pi\) |
−0.989161 | + | 0.146836i | \(0.953091\pi\) | |||||||
\(192\) | −3.82829 | − | 7.02454i | −0.276283 | − | 0.506953i | ||||
\(193\) | −11.4668 | − | 5.52214i | −0.825401 | − | 0.397492i | −0.0270129 | − | 0.999635i | \(-0.508600\pi\) |
−0.798388 | + | 0.602143i | \(0.794314\pi\) | |||||||
\(194\) | 10.1907 | − | 14.0524i | 0.731649 | − | 1.00890i | ||||
\(195\) | 0.305690 | 0.0218909 | ||||||||
\(196\) | 7.31569 | + | 11.9365i | 0.522549 | + | 0.852609i | ||||
\(197\) | −16.8381 | −1.19966 | −0.599831 | − | 0.800127i | \(-0.704765\pi\) | ||||
−0.599831 | + | 0.800127i | \(0.704765\pi\) | |||||||
\(198\) | 2.08793 | − | 2.87915i | 0.148383 | − | 0.204612i | ||||
\(199\) | 8.08782 | + | 3.89489i | 0.573330 | + | 0.276101i | 0.698001 | − | 0.716097i | \(-0.254073\pi\) |
−0.124671 | + | 0.992198i | \(0.539787\pi\) | |||||||
\(200\) | 8.31759 | − | 3.14685i | 0.588142 | − | 0.222516i | ||||
\(201\) | 0.380814 | − | 0.790768i | 0.0268605 | − | 0.0557765i | ||||
\(202\) | −19.1929 | + | 10.3500i | −1.35041 | + | 0.728226i | ||||
\(203\) | −0.340104 | + | 3.15320i | −0.0238706 | + | 0.221311i | ||||
\(204\) | 2.25804 | − | 6.04903i | 0.158094 | − | 0.423517i | ||||
\(205\) | −0.662735 | − | 0.831043i | −0.0462874 | − | 0.0580426i | ||||
\(206\) | 8.21706 | + | 15.2375i | 0.572510 | + | 1.06165i | ||||
\(207\) | −2.08612 | − | 1.66362i | −0.144995 | − | 0.115630i | ||||
\(208\) | 0.896803 | + | 0.0370957i | 0.0621821 | + | 0.00257213i | ||||
\(209\) | 6.12641 | + | 4.88565i | 0.423772 | + | 0.337947i | ||||
\(210\) | 5.02993 | − | 0.825768i | 0.347098 | − | 0.0569834i | ||||
\(211\) | 0.323901 | − | 0.258302i | 0.0222983 | − | 0.0177823i | −0.612277 | − | 0.790643i | \(-0.709746\pi\) |
0.634576 | + | 0.772861i | \(0.281175\pi\) | |||||||
\(212\) | −5.48380 | + | 3.28960i | −0.376629 | + | 0.225930i | ||||
\(213\) | −10.0455 | − | 2.29281i | −0.688304 | − | 0.157101i | ||||
\(214\) | −6.04087 | + | 0.276651i | −0.412945 | + | 0.0189115i | ||||
\(215\) | 5.00511 | 0.341346 | ||||||||
\(216\) | 2.81770 | + | 0.246060i | 0.191720 | + | 0.0167423i | ||||
\(217\) | 16.6187 | − | 1.95255i | 1.12815 | − | 0.132548i | ||||
\(218\) | 15.8310 | − | 4.38414i | 1.07221 | − | 0.296932i | ||||
\(219\) | 1.93522 | − | 0.441700i | 0.130770 | − | 0.0298474i | ||||
\(220\) | −4.74389 | − | 4.94418i | −0.319833 | − | 0.333336i | ||||
\(221\) | 0.451670 | + | 0.566376i | 0.0303826 | + | 0.0380986i | ||||
\(222\) | 12.0458 | − | 3.33591i | 0.808463 | − | 0.223892i | ||||
\(223\) | −3.82894 | − | 16.7757i | −0.256405 | − | 1.12338i | −0.925063 | − | 0.379813i | \(-0.875988\pi\) |
0.668658 | − | 0.743570i | \(-0.266869\pi\) | |||||||
\(224\) | 14.8565 | − | 1.81217i | 0.992643 | − | 0.121081i | ||||
\(225\) | −0.699637 | + | 3.06531i | −0.0466425 | + | 0.204354i | ||||
\(226\) | 0.586983 | + | 12.8172i | 0.0390456 | + | 0.852586i | ||||
\(227\) | 16.9632 | 1.12588 | 0.562942 | − | 0.826496i | \(-0.309669\pi\) | ||||
0.562942 | + | 0.826496i | \(0.309669\pi\) | |||||||
\(228\) | −0.825580 | + | 6.17682i | −0.0546754 | + | 0.409070i | ||||
\(229\) | −11.4735 | − | 23.8249i | −0.758188 | − | 1.57439i | −0.817348 | − | 0.576144i | \(-0.804557\pi\) |
0.0591605 | − | 0.998248i | \(-0.481158\pi\) | |||||||
\(230\) | −3.86824 | + | 3.38562i | −0.255064 | + | 0.223241i | ||||
\(231\) | 3.56672 | + | 5.61693i | 0.234673 | + | 0.369567i | ||||
\(232\) | 2.91514 | + | 1.73123i | 0.191388 | + | 0.113661i | ||||
\(233\) | −1.45604 | + | 6.37933i | −0.0953884 | + | 0.417924i | −0.999965 | − | 0.00838764i | \(-0.997330\pi\) |
0.904576 | + | 0.426311i | \(0.140187\pi\) | |||||||
\(234\) | −0.186300 | + | 0.256897i | −0.0121788 | + | 0.0167939i | ||||
\(235\) | −0.481843 | − | 1.00056i | −0.0314320 | − | 0.0652692i | ||||
\(236\) | 11.7706 | + | 12.2676i | 0.766202 | + | 0.798550i | ||||
\(237\) | 6.96564 | − | 14.4643i | 0.452467 | − | 0.939557i | ||||
\(238\) | 8.96190 | + | 8.09924i | 0.580913 | + | 0.524996i | ||||
\(239\) | −3.05795 | − | 6.34989i | −0.197802 | − | 0.410740i | 0.778349 | − | 0.627832i | \(-0.216057\pi\) |
−0.976151 | + | 0.217091i | \(0.930343\pi\) | |||||||
\(240\) | 1.43109 | − | 5.25792i | 0.0923764 | − | 0.339397i | ||||
\(241\) | 15.6161 | − | 3.56428i | 1.00592 | − | 0.229595i | 0.312338 | − | 0.949971i | \(-0.398888\pi\) |
0.693584 | + | 0.720376i | \(0.256031\pi\) | |||||||
\(242\) | −2.59337 | + | 6.08238i | −0.166708 | + | 0.390990i | ||||
\(243\) | −0.623490 | + | 0.781831i | −0.0399969 | + | 0.0501545i | ||||
\(244\) | 1.01574 | + | 11.0664i | 0.0650259 | + | 0.708453i | ||||
\(245\) | −2.03347 | + | 9.31677i | −0.129914 | + | 0.595226i | ||||
\(246\) | 1.10229 | − | 0.0504814i | 0.0702797 | − | 0.00321857i | ||||
\(247\) | −0.546640 | − | 0.435931i | −0.0347819 | − | 0.0277376i | ||||
\(248\) | 5.48263 | − | 17.0274i | 0.348147 | − | 1.08124i | ||||
\(249\) | 1.46588 | + | 6.42244i | 0.0928963 | + | 0.407005i | ||||
\(250\) | 14.4332 | + | 6.15394i | 0.912834 | + | 0.389209i | ||||
\(251\) | 14.7022 | − | 7.08018i | 0.927992 | − | 0.446897i | 0.0920741 | − | 0.995752i | \(-0.470650\pi\) |
0.835918 | + | 0.548855i | \(0.184936\pi\) | |||||||
\(252\) | −2.37148 | + | 4.73034i | −0.149389 | + | 0.297983i | ||||
\(253\) | −6.04572 | − | 2.91146i | −0.380091 | − | 0.183042i | ||||
\(254\) | 10.9368 | + | 12.4959i | 0.686236 | + | 0.784060i | ||||
\(255\) | 3.96247 | − | 1.90822i | 0.248139 | − | 0.119498i | ||||
\(256\) | 4.83644 | − | 15.2515i | 0.302278 | − | 0.953220i | ||||
\(257\) | 23.4351 | + | 5.34891i | 1.46184 | + | 0.333656i | 0.878175 | − | 0.478339i | \(-0.158761\pi\) |
0.583665 | + | 0.811994i | \(0.301618\pi\) | |||||||
\(258\) | −3.05032 | + | 4.20623i | −0.189905 | + | 0.261868i | ||||
\(259\) | −2.50764 | + | 23.2490i | −0.155817 | + | 1.44463i | ||||
\(260\) | 0.423283 | + | 0.441154i | 0.0262509 | + | 0.0273592i | ||||
\(261\) | −1.08000 | + | 0.520100i | −0.0668502 | + | 0.0321934i | ||||
\(262\) | 4.99536 | + | 0.901959i | 0.308614 | + | 0.0557232i | ||||
\(263\) | 27.7119i | 1.70879i | 0.519626 | + | 0.854394i | \(0.326071\pi\) | ||||
−0.519626 | + | 0.854394i | \(0.673929\pi\) | |||||||
\(264\) | 7.04614 | − | 0.973517i | 0.433660 | − | 0.0599158i | ||||
\(265\) | −4.24661 | − | 0.969261i | −0.260867 | − | 0.0595412i | ||||
\(266\) | −10.1722 | − | 5.69631i | −0.623698 | − | 0.349263i | ||||
\(267\) | 4.30126 | − | 0.981736i | 0.263233 | − | 0.0600812i | ||||
\(268\) | 1.66850 | − | 0.545393i | 0.101920 | − | 0.0333152i | ||||
\(269\) | −3.47034 | + | 2.76751i | −0.211590 | + | 0.168738i | −0.723550 | − | 0.690272i | \(-0.757491\pi\) |
0.511960 | + | 0.859009i | \(0.328920\pi\) | |||||||
\(270\) | 1.26886 | + | 1.44973i | 0.0772201 | + | 0.0882279i | ||||
\(271\) | −0.291645 | − | 1.27778i | −0.0177162 | − | 0.0776196i | 0.965297 | − | 0.261154i | \(-0.0841032\pi\) |
−0.983013 | + | 0.183535i | \(0.941246\pi\) | |||||||
\(272\) | 11.8563 | − | 5.11731i | 0.718892 | − | 0.310283i | ||||
\(273\) | −0.318247 | − | 0.501181i | −0.0192612 | − | 0.0303329i | ||||
\(274\) | 13.2120 | + | 2.38555i | 0.798167 | + | 0.144117i | ||||
\(275\) | 7.90705i | 0.476813i | ||||||||
\(276\) | −0.487763 | − | 5.31415i | −0.0293599 | − | 0.319874i | ||||
\(277\) | 3.67962 | − | 16.1215i | 0.221087 | − | 0.968646i | −0.735575 | − | 0.677444i | \(-0.763088\pi\) |
0.956662 | − | 0.291202i | \(-0.0940552\pi\) | |||||||
\(278\) | −3.44835 | − | 6.39454i | −0.206818 | − | 0.383519i | ||||
\(279\) | 3.94325 | + | 4.94468i | 0.236076 | + | 0.296030i | ||||
\(280\) | 8.15654 | + | 6.11547i | 0.487447 | + | 0.365469i | ||||
\(281\) | 11.4502 | − | 14.3581i | 0.683061 | − | 0.856531i | −0.312571 | − | 0.949894i | \(-0.601190\pi\) |
0.995632 | + | 0.0933632i | \(0.0297618\pi\) | |||||||
\(282\) | 1.13451 | + | 0.204847i | 0.0675591 | + | 0.0121984i | ||||
\(283\) | 5.57371 | − | 6.98921i | 0.331323 | − | 0.415465i | −0.588068 | − | 0.808812i | \(-0.700111\pi\) |
0.919390 | + | 0.393346i | \(0.128683\pi\) | |||||||
\(284\) | −10.6009 | − | 17.6718i | −0.629048 | − | 1.04863i | ||||
\(285\) | −3.31869 | + | 2.64656i | −0.196582 | + | 0.156769i | ||||
\(286\) | −0.313008 | + | 0.734116i | −0.0185086 | + | 0.0434092i | ||||
\(287\) | −0.672544 | + | 1.95174i | −0.0396990 | + | 0.115208i | ||||
\(288\) | 3.54652 | + | 4.40706i | 0.208981 | + | 0.259689i | ||||
\(289\) | −5.92624 | − | 2.85392i | −0.348602 | − | 0.167878i | ||||
\(290\) | 0.616358 | + | 2.22564i | 0.0361938 | + | 0.130694i | ||||
\(291\) | −5.32565 | + | 11.0588i | −0.312195 | + | 0.648280i | ||||
\(292\) | 3.31709 | + | 2.18118i | 0.194118 | + | 0.127644i | ||||
\(293\) | − | 13.0656i | − | 0.763303i | −0.924306 | − | 0.381652i | \(-0.875355\pi\) | ||
0.924306 | − | 0.381652i | \(-0.124645\pi\) | |||||||
\(294\) | −6.59040 | − | 7.38692i | −0.384360 | − | 0.430814i | ||||
\(295\) | 11.5804i | 0.674235i | ||||||||
\(296\) | 21.4938 | + | 12.7647i | 1.24930 | + | 0.741932i | ||||
\(297\) | −1.09115 | + | 2.26580i | −0.0633151 | + | 0.131475i | ||||
\(298\) | −22.7313 | + | 6.29509i | −1.31679 | + | 0.364665i | ||||
\(299\) | 0.539440 | + | 0.259781i | 0.0311966 | + | 0.0150235i | ||||
\(300\) | −5.39245 | + | 3.23480i | −0.311333 | + | 0.186761i | ||||
\(301\) | −5.21072 | − | 8.20593i | −0.300341 | − | 0.472982i | ||||
\(302\) | 14.6616 | + | 6.25135i | 0.843682 | + | 0.359725i | ||||
\(303\) | 12.0550 | − | 9.61358i | 0.692545 | − | 0.552286i | ||||
\(304\) | −10.0572 | + | 7.36150i | −0.576820 | + | 0.422211i | ||||
\(305\) | −4.71954 | + | 5.91812i | −0.270240 | + | 0.338871i | ||||
\(306\) | −0.811245 | + | 4.49295i | −0.0463758 | + | 0.256845i | ||||
\(307\) | 11.5599 | − | 14.4957i | 0.659759 | − | 0.827312i | −0.333558 | − | 0.942730i | \(-0.608249\pi\) |
0.993317 | + | 0.115418i | \(0.0368206\pi\) | |||||||
\(308\) | −3.16726 | + | 12.9249i | −0.180471 | + | 0.736466i | ||||
\(309\) | −7.63237 | − | 9.57069i | −0.434190 | − | 0.544458i | ||||
\(310\) | 10.7246 | − | 5.78341i | 0.609118 | − | 0.328476i | ||||
\(311\) | −4.31972 | + | 18.9259i | −0.244949 | + | 1.07319i | 0.691497 | + | 0.722379i | \(0.256951\pi\) |
−0.936446 | + | 0.350812i | \(0.885906\pi\) | |||||||
\(312\) | −0.628705 | + | 0.0868639i | −0.0355934 | + | 0.00491770i | ||||
\(313\) | − | 25.6228i | − | 1.44829i | −0.689650 | − | 0.724143i | \(-0.742236\pi\) | ||
0.689650 | − | 0.724143i | \(-0.257764\pi\) | |||||||
\(314\) | 1.18402 | − | 6.55752i | 0.0668182 | − | 0.370062i | ||||
\(315\) | −3.39635 | + | 1.20659i | −0.191362 | + | 0.0679837i | ||||
\(316\) | 30.5192 | − | 9.97604i | 1.71684 | − | 0.561196i | ||||
\(317\) | 4.08491 | + | 17.8972i | 0.229432 | + | 1.00521i | 0.950105 | + | 0.311931i | \(0.100976\pi\) |
−0.720673 | + | 0.693275i | \(0.756167\pi\) | |||||||
\(318\) | 3.40261 | − | 2.97808i | 0.190809 | − | 0.167003i | ||||
\(319\) | −2.35689 | + | 1.87956i | −0.131960 | + | 0.105235i | ||||
\(320\) | 9.56953 | − | 5.21528i | 0.534953 | − | 0.291543i | ||||
\(321\) | 4.16881 | − | 0.951503i | 0.232680 | − | 0.0531077i | ||||
\(322\) | 9.57790 | + | 2.81732i | 0.533755 | + | 0.157003i | ||||
\(323\) | −9.80700 | − | 2.23838i | −0.545676 | − | 0.124547i | ||||
\(324\) | −1.99163 | + | 0.182803i | −0.110646 | + | 0.0101557i | ||||
\(325\) | − | 0.705521i | − | 0.0391353i | ||||||
\(326\) | −6.25830 | + | 34.6606i | −0.346615 | + | 1.91967i | ||||
\(327\) | −10.4652 | + | 5.03978i | −0.578727 | + | 0.278700i | ||||
\(328\) | 1.59918 | + | 1.52087i | 0.0882998 | + | 0.0839758i | ||||
\(329\) | −1.13879 | + | 1.83165i | −0.0627834 | + | 0.100982i | ||||
\(330\) | 3.92226 | + | 2.84439i | 0.215913 | + | 0.156579i | ||||
\(331\) | 24.9469 | + | 5.69396i | 1.37120 | + | 0.312969i | 0.843806 | − | 0.536649i | \(-0.180310\pi\) |
0.527399 | + | 0.849618i | \(0.323167\pi\) | |||||||
\(332\) | −7.23871 | + | 11.0085i | −0.397276 | + | 0.604170i | ||||
\(333\) | −7.96302 | + | 3.83479i | −0.436371 | + | 0.210145i | ||||
\(334\) | −25.6936 | + | 22.4880i | −1.40589 | + | 1.23049i | ||||
\(335\) | 1.07726 | + | 0.518783i | 0.0588572 | + | 0.0283441i | ||||
\(336\) | −10.1103 | + | 3.12763i | −0.551561 | + | 0.170626i | ||||
\(337\) | 5.10421 | − | 2.45806i | 0.278044 | − | 0.133899i | −0.289665 | − | 0.957128i | \(-0.593544\pi\) |
0.567710 | + | 0.823229i | \(0.307830\pi\) | |||||||
\(338\) | −7.18279 | + | 16.8462i | −0.390692 | + | 0.916312i | ||||
\(339\) | −2.01885 | − | 8.84514i | −0.109649 | − | 0.480402i | ||||
\(340\) | 8.24059 | + | 3.07612i | 0.446909 | + | 0.166826i | ||||
\(341\) | 12.4351 | + | 9.91670i | 0.673401 | + | 0.537019i | ||||
\(342\) | −0.201592 | − | 4.40190i | −0.0109009 | − | 0.238028i | ||||
\(343\) | 17.3919 | − | 6.36559i | 0.939076 | − | 0.343710i | ||||
\(344\) | −10.2939 | + | 1.42224i | −0.555010 | + | 0.0766820i | ||||
\(345\) | 2.26635 | − | 2.84192i | 0.122016 | − | 0.153004i | ||||
\(346\) | 7.64561 | + | 3.25989i | 0.411031 | + | 0.175253i | ||||
\(347\) | −10.6633 | + | 2.43382i | −0.572434 | + | 0.130654i | −0.498933 | − | 0.866641i | \(-0.666274\pi\) |
−0.0735014 | + | 0.997295i | \(0.523417\pi\) | |||||||
\(348\) | −2.24603 | − | 0.838419i | −0.120400 | − | 0.0449440i | ||||
\(349\) | −1.09423 | − | 2.27219i | −0.0585727 | − | 0.121628i | 0.869628 | − | 0.493708i | \(-0.164359\pi\) |
−0.928200 | + | 0.372080i | \(0.878645\pi\) | |||||||
\(350\) | −1.90584 | − | 11.6089i | −0.101872 | − | 0.620521i | ||||
\(351\) | 0.0973602 | − | 0.202171i | 0.00519670 | − | 0.0107911i | ||||
\(352\) | 11.1616 | + | 8.82057i | 0.594914 | + | 0.470138i | ||||
\(353\) | −9.13291 | − | 18.9647i | −0.486096 | − | 1.00939i | −0.989391 | − | 0.145274i | \(-0.953594\pi\) |
0.503296 | − | 0.864114i | \(-0.332121\pi\) | |||||||
\(354\) | −9.73197 | − | 7.05755i | −0.517249 | − | 0.375104i | ||||
\(355\) | 3.12350 | − | 13.6849i | 0.165778 | − | 0.726321i | ||||
\(356\) | 7.37266 | + | 4.84794i | 0.390750 | + | 0.256941i | ||||
\(357\) | −7.25379 | − | 4.50989i | −0.383911 | − | 0.238689i | ||||
\(358\) | −18.9481 | − | 21.6491i | −1.00144 | − | 1.14419i | ||||
\(359\) | −9.66717 | − | 20.0741i | −0.510214 | − | 1.05947i | −0.983891 | − | 0.178771i | \(-0.942788\pi\) |
0.473677 | − | 0.880699i | \(-0.342926\pi\) | |||||||
\(360\) | −0.335208 | + | 3.83856i | −0.0176670 | + | 0.202310i | ||||
\(361\) | −9.29131 | −0.489017 | ||||||||
\(362\) | 26.3924 | − | 1.20868i | 1.38715 | − | 0.0635270i | ||||
\(363\) | 1.04040 | − | 4.55829i | 0.0546069 | − | 0.239248i | ||||
\(364\) | 0.282605 | − | 1.15325i | 0.0148125 | − | 0.0604468i | ||||
\(365\) | 0.601728 | + | 2.63634i | 0.0314959 | + | 0.137993i | ||||
\(366\) | −2.09722 | − | 7.57298i | −0.109624 | − | 0.395846i | ||||
\(367\) | −17.2520 | − | 21.6333i | −0.900548 | − | 1.12925i | −0.991068 | − | 0.133357i | \(-0.957424\pi\) |
0.0905202 | − | 0.995895i | \(-0.471147\pi\) | |||||||
\(368\) | 6.99368 | − | 8.06232i | 0.364571 | − | 0.420277i | ||||
\(369\) | −0.760694 | + | 0.173623i | −0.0396002 | + | 0.00903848i | ||||
\(370\) | 4.54451 | + | 16.4100i | 0.236258 | + | 0.853117i | ||||
\(371\) | 2.83194 | + | 7.97143i | 0.147027 | + | 0.413856i | ||||
\(372\) | −1.67573 | + | 12.5375i | −0.0868826 | + | 0.650038i | ||||
\(373\) | −3.57684 | −0.185202 | −0.0926008 | − | 0.995703i | \(-0.529518\pi\) | ||||
−0.0926008 | + | 0.995703i | \(0.529518\pi\) | |||||||
\(374\) | 0.525278 | + | 11.4698i | 0.0271615 | + | 0.593089i | ||||
\(375\) | −10.8166 | − | 2.46882i | −0.558566 | − | 0.127489i | ||||
\(376\) | 1.27531 | + | 1.92091i | 0.0657692 | + | 0.0990631i | ||||
\(377\) | 0.210298 | − | 0.167707i | 0.0108309 | − | 0.00863735i | ||||
\(378\) | 1.05587 | − | 3.58959i | 0.0543081 | − | 0.184628i | ||||
\(379\) | 4.79576 | + | 3.82449i | 0.246341 | + | 0.196451i | 0.738875 | − | 0.673843i | \(-0.235358\pi\) |
−0.492533 | + | 0.870294i | \(0.663929\pi\) | |||||||
\(380\) | −8.41469 | − | 1.12469i | −0.431664 | − | 0.0576952i | ||||
\(381\) | −9.18045 | − | 7.32116i | −0.470329 | − | 0.375075i | ||||
\(382\) | 19.3180 | − | 10.4175i | 0.988394 | − | 0.533006i | ||||
\(383\) | −21.9846 | − | 27.5679i | −1.12336 | − | 1.40865i | −0.901071 | − | 0.433673i | \(-0.857217\pi\) |
−0.222292 | − | 0.974980i | \(-0.571354\pi\) | |||||||
\(384\) | −1.44921 | + | 11.2205i | −0.0739548 | + | 0.572594i | ||||
\(385\) | −7.65194 | + | 4.85894i | −0.389979 | + | 0.247634i | ||||
\(386\) | 8.54320 | + | 15.8423i | 0.434837 | + | 0.806352i | ||||
\(387\) | 1.59410 | − | 3.31018i | 0.0810325 | − | 0.168266i | ||||
\(388\) | −23.3338 | + | 7.62728i | −1.18459 | + | 0.387217i | ||||
\(389\) | 17.4781 | + | 8.41701i | 0.886175 | + | 0.426759i | 0.820876 | − | 0.571106i | \(-0.193486\pi\) |
0.0652989 | + | 0.997866i | \(0.479200\pi\) | |||||||
\(390\) | −0.349971 | − | 0.253796i | −0.0177215 | − | 0.0128515i | ||||
\(391\) | 8.61408 | 0.435633 | ||||||||
\(392\) | 1.53477 | − | 19.7394i | 0.0775175 | − | 0.996991i | ||||
\(393\) | −3.58937 | −0.181060 | ||||||||
\(394\) | 19.2772 | + | 13.9796i | 0.971170 | + | 0.704284i | ||||
\(395\) | 19.7047 | + | 9.48929i | 0.991452 | + | 0.477458i | ||||
\(396\) | −4.78077 | + | 1.56273i | −0.240243 | + | 0.0785299i | ||||
\(397\) | −1.98688 | + | 4.12579i | −0.0997185 | + | 0.207068i | −0.944860 | − | 0.327476i | \(-0.893802\pi\) |
0.845141 | + | 0.534543i | \(0.179516\pi\) | |||||||
\(398\) | −6.02571 | − | 11.1739i | −0.302041 | − | 0.560099i | ||||
\(399\) | 7.79408 | + | 2.68573i | 0.390192 | + | 0.134455i | ||||
\(400\) | −12.1351 | − | 3.30290i | −0.606755 | − | 0.165145i | ||||
\(401\) | 7.89788 | + | 9.90363i | 0.394401 | + | 0.494564i | 0.938896 | − | 0.344201i | \(-0.111850\pi\) |
−0.544495 | + | 0.838764i | \(0.683279\pi\) | |||||||
\(402\) | −1.09251 | + | 0.589150i | −0.0544893 | + | 0.0293841i | ||||
\(403\) | −1.10955 | − | 0.884836i | −0.0552706 | − | 0.0440768i | ||||
\(404\) | 30.5662 | + | 4.08540i | 1.52072 | + | 0.203256i | ||||
\(405\) | −1.06509 | − | 0.849380i | −0.0529247 | − | 0.0422060i | ||||
\(406\) | 3.00728 | − | 3.32759i | 0.149249 | − | 0.165146i | ||||
\(407\) | −17.3777 | + | 13.8583i | −0.861383 | + | 0.686930i | ||||
\(408\) | −7.60729 | + | 5.05057i | −0.376617 | + | 0.250040i | ||||
\(409\) | 19.8874 | + | 4.53918i | 0.983370 | + | 0.224448i | 0.683834 | − | 0.729637i | \(-0.260311\pi\) |
0.299536 | + | 0.954085i | \(0.403168\pi\) | |||||||
\(410\) | 0.0687708 | + | 1.50166i | 0.00339635 | + | 0.0741615i | ||||
\(411\) | −9.49337 | −0.468273 | ||||||||
\(412\) | 3.24346 | − | 24.2669i | 0.159794 | − | 1.19555i | ||||
\(413\) | 18.9861 | − | 12.0561i | 0.934245 | − | 0.593240i | ||||
\(414\) | 1.00710 | + | 3.63659i | 0.0494962 | + | 0.178729i | ||||
\(415\) | −8.74929 | + | 1.99697i | −0.429486 | + | 0.0980273i | ||||
\(416\) | −0.995913 | − | 0.787032i | −0.0488287 | − | 0.0385874i | ||||
\(417\) | 3.20298 | + | 4.01641i | 0.156851 | + | 0.196684i | ||||
\(418\) | −2.95760 | − | 10.6798i | −0.144661 | − | 0.522364i | ||||
\(419\) | −8.31647 | − | 36.4368i | −0.406286 | − | 1.78006i | −0.601056 | − | 0.799207i | \(-0.705253\pi\) |
0.194770 | − | 0.980849i | \(-0.437604\pi\) | |||||||
\(420\) | −6.44414 | − | 3.23067i | −0.314442 | − | 0.157640i | ||||
\(421\) | −7.30418 | + | 32.0017i | −0.355984 | + | 1.55967i | 0.407109 | + | 0.913379i | \(0.366537\pi\) |
−0.763093 | + | 0.646288i | \(0.776320\pi\) | |||||||
\(422\) | −0.585274 | + | 0.0268036i | −0.0284907 | + | 0.00130478i | ||||
\(423\) | −0.815192 | −0.0396360 | ||||||||
\(424\) | 9.00933 | + | 0.786753i | 0.437532 | + | 0.0382081i | ||||
\(425\) | −4.40411 | − | 9.14524i | −0.213631 | − | 0.443609i | ||||
\(426\) | 9.59704 | + | 10.9651i | 0.464978 | + | 0.531261i | ||||
\(427\) | 14.6162 | + | 1.57651i | 0.707329 | + | 0.0762925i | ||||
\(428\) | 7.14562 | + | 4.69865i | 0.345397 | + | 0.227118i | ||||
\(429\) | 0.125572 | − | 0.550165i | 0.00606265 | − | 0.0265622i | ||||
\(430\) | −5.73014 | − | 4.15545i | −0.276332 | − | 0.200394i | ||||
\(431\) | 3.14909 | + | 6.53915i | 0.151686 | + | 0.314980i | 0.962941 | − | 0.269714i | \(-0.0869291\pi\) |
−0.811254 | + | 0.584693i | \(0.801215\pi\) | |||||||
\(432\) | −3.02158 | − | 2.62108i | −0.145376 | − | 0.126107i | ||||
\(433\) | −9.84838 | + | 20.4504i | −0.473283 | + | 0.982782i | 0.518527 | + | 0.855061i | \(0.326480\pi\) |
−0.991810 | + | 0.127721i | \(0.959234\pi\) | |||||||
\(434\) | −20.6471 | − | 11.5621i | −0.991095 | − | 0.555001i | ||||
\(435\) | −0.708532 | − | 1.47128i | −0.0339715 | − | 0.0705426i | ||||
\(436\) | −21.7641 | − | 8.12429i | −1.04231 | − | 0.389083i | ||||
\(437\) | −8.10547 | + | 1.85002i | −0.387737 | + | 0.0884985i | ||||
\(438\) | −2.58227 | − | 1.10101i | −0.123385 | − | 0.0526084i | ||||
\(439\) | −22.7534 | + | 28.5319i | −1.08596 | + | 1.36175i | −0.158704 | + | 0.987326i | \(0.550732\pi\) |
−0.927257 | + | 0.374426i | \(0.877840\pi\) | |||||||
\(440\) | 1.32622 | + | 9.59896i | 0.0632251 | + | 0.457612i | ||||
\(441\) | 5.51408 | + | 4.31218i | 0.262575 | + | 0.205342i | ||||
\(442\) | −0.0468689 | − | 1.02341i | −0.00222933 | − | 0.0486789i | ||||
\(443\) | 7.45027 | + | 5.94139i | 0.353973 | + | 0.282284i | 0.784291 | − | 0.620393i | \(-0.213027\pi\) |
−0.430318 | + | 0.902677i | \(0.641599\pi\) | |||||||
\(444\) | −16.5604 | − | 6.18181i | −0.785921 | − | 0.293375i | ||||
\(445\) | 1.33742 | + | 5.85961i | 0.0633997 | + | 0.277772i | ||||
\(446\) | −9.54428 | + | 22.3847i | −0.451935 | + | 1.05995i | ||||
\(447\) | 15.0267 | − | 7.23650i | 0.710740 | − | 0.342275i | ||||
\(448\) | −18.5131 | − | 10.2598i | −0.874663 | − | 0.484731i | ||||
\(449\) | −8.18341 | − | 3.94092i | −0.386199 | − | 0.185984i | 0.230702 | − | 0.973024i | \(-0.425898\pi\) |
−0.616901 | + | 0.787041i | \(0.711612\pi\) | |||||||
\(450\) | 3.34593 | − | 2.92848i | 0.157729 | − | 0.138050i | ||||
\(451\) | −1.76791 | + | 0.851380i | −0.0832476 | + | 0.0400899i | ||||
\(452\) | 9.96934 | − | 15.1612i | 0.468918 | − | 0.713122i | ||||
\(453\) | −10.9878 | − | 2.50790i | −0.516252 | − | 0.117831i | ||||
\(454\) | −19.4204 | − | 14.0835i | −0.911444 | − | 0.660972i | ||||
\(455\) | 0.682759 | − | 0.433548i | 0.0320082 | − | 0.0203250i | ||||
\(456\) | 6.07343 | − | 6.38616i | 0.284414 | − | 0.299059i | ||||
\(457\) | −30.0634 | + | 14.4778i | −1.40631 | + | 0.677241i | −0.974430 | − | 0.224693i | \(-0.927862\pi\) |
−0.431875 | + | 0.901933i | \(0.642148\pi\) | |||||||
\(458\) | −6.64492 | + | 36.8018i | −0.310497 | + | 1.71964i | ||||
\(459\) | − | 3.22837i | − | 0.150687i | ||||||
\(460\) | 7.23947 | − | 0.664480i | 0.337542 | − | 0.0309815i | ||||
\(461\) | 18.3145 | + | 4.18016i | 0.852990 | + | 0.194689i | 0.626594 | − | 0.779346i | \(-0.284449\pi\) |
0.226396 | + | 0.974035i | \(0.427306\pi\) | |||||||
\(462\) | 0.580023 | − | 9.39182i | 0.0269851 | − | 0.436947i | ||||
\(463\) | 17.0766 | − | 3.89763i | 0.793618 | − | 0.181138i | 0.193554 | − | 0.981090i | \(-0.437999\pi\) |
0.600065 | + | 0.799951i | \(0.295141\pi\) | |||||||
\(464\) | −1.90008 | − | 4.40229i | −0.0882090 | − | 0.204371i | ||||
\(465\) | −6.73614 | + | 5.37189i | −0.312381 | + | 0.249116i | ||||
\(466\) | 6.96334 | − | 6.09456i | 0.322571 | − | 0.282325i | ||||
\(467\) | −5.99327 | − | 26.2582i | −0.277335 | − | 1.21509i | −0.901148 | − | 0.433512i | \(-0.857274\pi\) |
0.623813 | − | 0.781574i | \(-0.285583\pi\) | |||||||
\(468\) | 0.426574 | − | 0.139437i | 0.0197184 | − | 0.00644549i | ||||
\(469\) | −0.270967 | − | 2.30628i | −0.0125121 | − | 0.106494i | ||||
\(470\) | −0.279062 | + | 1.54554i | −0.0128722 | + | 0.0712906i | ||||
\(471\) | 4.71184i | 0.217110i | ||||||||
\(472\) | −3.29064 | − | 23.8171i | −0.151464 | − | 1.09627i | ||||
\(473\) | 2.05601 | − | 9.00796i | 0.0945353 | − | 0.414186i | ||||
\(474\) | −19.9835 | + | 10.7764i | −0.917874 | + | 0.494977i | ||||
\(475\) | 6.10817 | + | 7.65941i | 0.280262 | + | 0.351438i | ||||
\(476\) | −3.53578 | − | 16.7130i | −0.162062 | − | 0.766040i | ||||
\(477\) | −1.99355 | + | 2.49983i | −0.0912782 | + | 0.114459i | ||||
\(478\) | −1.77103 | + | 9.80855i | −0.0810049 | + | 0.448633i | ||||
\(479\) | −17.6373 | + | 22.1165i | −0.805869 | + | 1.01053i | 0.193696 | + | 0.981062i | \(0.437952\pi\) |
−0.999566 | + | 0.0294668i | \(0.990619\pi\) | |||||||
\(480\) | −6.00374 | + | 4.83142i | −0.274032 | + | 0.220523i | ||||
\(481\) | 1.55056 | − | 1.23653i | 0.0706995 | − | 0.0563810i | ||||
\(482\) | −20.8374 | − | 8.88455i | −0.949119 | − | 0.404680i | ||||
\(483\) | −7.01880 | − | 0.757048i | −0.319367 | − | 0.0344469i | ||||
\(484\) | 8.01889 | − | 4.81034i | 0.364495 | − | 0.218652i | ||||
\(485\) | −15.0654 | − | 7.25513i | −0.684086 | − | 0.329439i | ||||
\(486\) | 1.36292 | − | 0.377439i | 0.0618231 | − | 0.0171210i | ||||
\(487\) | −18.0886 | + | 37.5614i | −0.819674 | + | 1.70207i | −0.114059 | + | 0.993474i | \(0.536385\pi\) |
−0.705614 | + | 0.708596i | \(0.749329\pi\) | |||||||
\(488\) | 8.02490 | − | 13.5128i | 0.363270 | − | 0.611694i | ||||
\(489\) | − | 24.9050i | − | 1.12625i | ||||||
\(490\) | 10.0632 | − | 8.97810i | 0.454609 | − | 0.405589i | ||||
\(491\) | 10.8962i | 0.491738i | 0.969303 | + | 0.245869i | \(0.0790734\pi\) | ||||
−0.969303 | + | 0.245869i | \(0.920927\pi\) | |||||||
\(492\) | −1.30388 | − | 0.857376i | −0.0587836 | − | 0.0386535i | ||||
\(493\) | 1.67908 | − | 3.48664i | 0.0756218 | − | 0.157030i | ||||
\(494\) | 0.263897 | + | 0.952922i | 0.0118733 | + | 0.0428740i | ||||
\(495\) | −3.08670 | − | 1.48648i | −0.138737 | − | 0.0668122i | ||||
\(496\) | −20.4137 | + | 14.9421i | −0.916603 | + | 0.670920i | ||||
\(497\) | −25.6884 | + | 9.12609i | −1.15228 | + | 0.409361i | ||||
\(498\) | 3.65395 | − | 8.56981i | 0.163737 | − | 0.384022i | ||||
\(499\) | −0.473358 | + | 0.377490i | −0.0211904 | + | 0.0168988i | −0.634028 | − | 0.773310i | \(-0.718600\pi\) |
0.612837 | + | 0.790209i | \(0.290028\pi\) | |||||||
\(500\) | −11.4147 | − | 19.0284i | −0.510480 | − | 0.850976i | ||||
\(501\) | 15.0536 | − | 18.8766i | 0.672544 | − | 0.843344i | ||||
\(502\) | −22.7101 | − | 4.10053i | −1.01360 | − | 0.183016i | ||||
\(503\) | 8.46155 | − | 10.6105i | 0.377282 | − | 0.473097i | −0.556547 | − | 0.830816i | \(-0.687874\pi\) |
0.933829 | + | 0.357719i | \(0.116446\pi\) | |||||||
\(504\) | 6.64233 | − | 3.44666i | 0.295873 | − | 0.153527i | ||||
\(505\) | 13.0966 | + | 16.4226i | 0.582790 | + | 0.730796i | ||||
\(506\) | 4.50427 | + | 8.35262i | 0.200239 | + | 0.371319i | ||||
\(507\) | 2.88157 | − | 12.6250i | 0.127975 | − | 0.560695i | ||||
\(508\) | −2.14652 | − | 23.3862i | −0.0952363 | − | 1.03759i | ||||
\(509\) | 21.6897i | 0.961378i | 0.876891 | + | 0.480689i | \(0.159613\pi\) | ||||
−0.876891 | + | 0.480689i | \(0.840387\pi\) | |||||||
\(510\) | −6.12075 | − | 1.10516i | −0.271031 | − | 0.0489373i | ||||
\(511\) | 3.69586 | − | 3.73118i | 0.163495 | − | 0.165058i | ||||
\(512\) | −18.1995 | + | 13.4454i | −0.804311 | + | 0.594209i | ||||
\(513\) | 0.693348 | + | 3.03775i | 0.0306121 | + | 0.134120i | ||||
\(514\) | −22.3890 | − | 25.5805i | −0.987535 | − | 1.12831i | ||||
\(515\) | 13.0381 | − | 10.3976i | 0.574529 | − | 0.458172i | ||||
\(516\) | 6.98437 | − | 2.28303i | 0.307470 | − | 0.100505i | ||||
\(517\) | −1.99869 | + | 0.456187i | −0.0879021 | + | 0.0200631i | ||||
\(518\) | 22.1732 | − | 24.5349i | 0.974235 | − | 1.07800i | ||||
\(519\) | −5.72982 | − | 1.30779i | −0.251511 | − | 0.0574058i | ||||
\(520\) | −0.118335 | − | 0.856485i | −0.00518932 | − | 0.0375593i | ||||
\(521\) | 43.3948i | 1.90116i | 0.310477 | + | 0.950581i | \(0.399511\pi\) | ||||
−0.310477 | + | 0.950581i | \(0.600489\pi\) | |||||||
\(522\) | 1.66825 | + | 0.301219i | 0.0730175 | + | 0.0131840i | ||||
\(523\) | 3.08007 | − | 1.48328i | 0.134682 | − | 0.0648594i | −0.365329 | − | 0.930878i | \(-0.619044\pi\) |
0.500011 | + | 0.866019i | \(0.333329\pi\) | |||||||
\(524\) | −4.97013 | − | 5.17997i | −0.217121 | − | 0.226288i | ||||
\(525\) | 2.78477 | + | 7.83865i | 0.121537 | + | 0.342107i | ||||
\(526\) | 23.0075 | − | 31.7262i | 1.00318 | − | 1.38333i | ||||
\(527\) | −19.9059 | − | 4.54339i | −0.867113 | − | 0.197913i | ||||
\(528\) | −8.87508 | − | 4.73546i | −0.386238 | − | 0.206084i | ||||
\(529\) | −14.3078 | + | 6.89028i | −0.622079 | + | 0.299577i | ||||
\(530\) | 4.05704 | + | 4.63537i | 0.176227 | + | 0.201348i | ||||
\(531\) | 7.65877 | + | 3.68827i | 0.332362 | + | 0.160057i | ||||
\(532\) | 6.91641 | + | 14.9668i | 0.299865 | + | 0.648895i | ||||
\(533\) | 0.157745 | − | 0.0759660i | 0.00683269 | − | 0.00329045i | ||||
\(534\) | −5.73941 | − | 2.44714i | −0.248369 | − | 0.105898i | ||||
\(535\) | 1.29623 | + | 5.67917i | 0.0560410 | + | 0.245532i | ||||
\(536\) | −2.36300 | − | 0.760857i | −0.102066 | − | 0.0328640i | ||||
\(537\) | 15.9052 | + | 12.6839i | 0.686358 | + | 0.547352i | ||||
\(538\) | 6.27074 | − | 0.287179i | 0.270351 | − | 0.0123812i | ||||
\(539\) | 15.9325 | + | 7.48689i | 0.686263 | + | 0.322483i | ||||
\(540\) | −0.249033 | − | 2.71319i | −0.0107167 | − | 0.116757i | ||||
\(541\) | −9.69034 | + | 12.1513i | −0.416620 | + | 0.522425i | −0.945215 | − | 0.326449i | \(-0.894148\pi\) |
0.528595 | + | 0.848874i | \(0.322719\pi\) | |||||||
\(542\) | −0.726973 | + | 1.70501i | −0.0312262 | + | 0.0732365i | ||||
\(543\) | −18.2134 | + | 4.15709i | −0.781612 | + | 0.178398i | ||||
\(544\) | −17.8223 | − | 3.98497i | −0.764127 | − | 0.170854i | ||||
\(545\) | −6.86569 | − | 14.2567i | −0.294094 | − | 0.610692i | ||||
\(546\) | −0.0517537 | + | 0.838003i | −0.00221485 | + | 0.0358632i | ||||
\(547\) | −5.95766 | + | 12.3712i | −0.254731 | + | 0.528954i | −0.988642 | − | 0.150292i | \(-0.951979\pi\) |
0.733911 | + | 0.679246i | \(0.237693\pi\) | |||||||
\(548\) | −13.1453 | − | 13.7003i | −0.561539 | − | 0.585247i | ||||
\(549\) | 2.41086 | + | 5.00619i | 0.102893 | + | 0.213659i | ||||
\(550\) | 6.56476 | − | 9.05244i | 0.279922 | − | 0.385997i | ||||
\(551\) | −0.831122 | + | 3.64138i | −0.0354070 | + | 0.155128i | ||||
\(552\) | −3.85361 | + | 6.48891i | −0.164020 | + | 0.276186i | ||||
\(553\) | −4.95638 | − | 42.1852i | −0.210767 | − | 1.79390i | ||||
\(554\) | −17.5974 | + | 15.4018i | −0.747640 | + | 0.654361i | ||||
\(555\) | −5.22413 | − | 10.8480i | −0.221752 | − | 0.460473i | ||||
\(556\) | −1.36114 | + | 10.1838i | −0.0577253 | + | 0.431889i | ||||
\(557\) | 46.2999 | 1.96179 | 0.980894 | − | 0.194541i | \(-0.0623219\pi\) | ||||
0.980894 | + | 0.194541i | \(0.0623219\pi\) | |||||||
\(558\) | −0.409184 | − | 8.93481i | −0.0173221 | − | 0.378241i | ||||
\(559\) | −0.183451 | + | 0.803752i | −0.00775915 | + | 0.0339951i | ||||
\(560\) | −4.26077 | − | 13.7732i | −0.180050 | − | 0.582026i | ||||
\(561\) | −1.80662 | − | 7.91532i | −0.0762755 | − | 0.334185i | ||||
\(562\) | −25.0295 | + | 6.93154i | −1.05581 | + | 0.292389i | ||||
\(563\) | 7.49837 | + | 9.40266i | 0.316019 | + | 0.396275i | 0.914317 | − | 0.404998i | \(-0.132728\pi\) |
−0.598299 | + | 0.801273i | \(0.704156\pi\) | |||||||
\(564\) | −1.12878 | − | 1.17644i | −0.0475302 | − | 0.0495369i | ||||
\(565\) | 12.0497 | − | 2.75027i | 0.506936 | − | 0.115705i | ||||
\(566\) | −12.1838 | + | 3.37413i | −0.512125 | + | 0.141825i | ||||
\(567\) | −0.283725 | + | 2.63049i | −0.0119153 | + | 0.110470i | ||||
\(568\) | −2.53536 | + | 29.0331i | −0.106381 | + | 1.21820i | ||||
\(569\) | 10.0348 | 0.420682 | 0.210341 | − | 0.977628i | \(-0.432543\pi\) | ||||
0.210341 | + | 0.977628i | \(0.432543\pi\) | |||||||
\(570\) | 5.99671 | − | 0.274629i | 0.251174 | − | 0.0115029i | ||||
\(571\) | 16.5867 | + | 3.78581i | 0.694132 | + | 0.158431i | 0.555009 | − | 0.831844i | \(-0.312715\pi\) |
0.139123 | + | 0.990275i | \(0.455572\pi\) | |||||||
\(572\) | 0.967843 | − | 0.580586i | 0.0404675 | − | 0.0242755i | ||||
\(573\) | −12.1336 | + | 9.67624i | −0.506889 | + | 0.404231i | ||||
\(574\) | 2.39038 | − | 1.67609i | 0.0997726 | − | 0.0699587i | ||||
\(575\) | −6.55904 | − | 5.23066i | −0.273531 | − | 0.218134i | ||||
\(576\) | −0.401339 | − | 7.98993i | −0.0167224 | − | 0.332914i | ||||
\(577\) | 15.7568 | + | 12.5656i | 0.655964 | + | 0.523114i | 0.893957 | − | 0.448153i | \(-0.147918\pi\) |
−0.237993 | + | 0.971267i | \(0.576489\pi\) | |||||||
\(578\) | 4.41525 | + | 8.18754i | 0.183650 | + | 0.340557i | ||||
\(579\) | −7.93530 | − | 9.95055i | −0.329780 | − | 0.413531i | ||||
\(580\) | 1.14218 | − | 3.05977i | 0.0474263 | − | 0.127050i | ||||
\(581\) | 12.3827 | + | 12.2655i | 0.513723 | + | 0.508860i | ||||
\(582\) | 15.2786 | − | 8.23921i | 0.633319 | − | 0.341526i | ||||
\(583\) | −3.48885 | + | 7.24468i | −0.144494 | + | 0.300044i | ||||
\(584\) | −1.98670 | − | 5.25113i | −0.0822101 | − | 0.217293i | ||||
\(585\) | 0.275417 | + | 0.132634i | 0.0113871 | + | 0.00548373i | ||||
\(586\) | −10.8476 | + | 14.9583i | −0.448112 | + | 0.617922i | ||||
\(587\) | −28.5355 | −1.17779 | −0.588894 | − | 0.808210i | \(-0.700436\pi\) | ||||
−0.588894 | + | 0.808210i | \(0.700436\pi\) | |||||||
\(588\) | 1.41215 | + | 13.9286i | 0.0582360 | + | 0.574406i | ||||
\(589\) | 19.7063 | 0.811985 | ||||||||
\(590\) | 9.61449 | − | 13.2579i | 0.395822 | − | 0.545818i | ||||
\(591\) | −15.1706 | − | 7.30576i | −0.624034 | − | 0.300519i | ||||
\(592\) | −14.0096 | − | 32.4588i | −0.575792 | − | 1.33405i | ||||
\(593\) | 4.90261 | − | 10.1804i | 0.201326 | − | 0.418058i | −0.775723 | − | 0.631074i | \(-0.782614\pi\) |
0.977049 | + | 0.213016i | \(0.0683287\pi\) | |||||||
\(594\) | 3.13038 | − | 1.68810i | 0.128441 | − | 0.0692637i | ||||
\(595\) | 6.14382 | − | 9.88184i | 0.251872 | − | 0.405116i | ||||
\(596\) | 31.2505 | + | 11.6655i | 1.28007 | + | 0.477837i | ||||
\(597\) | 5.59695 | + | 7.01835i | 0.229068 | + | 0.287242i | ||||
\(598\) | −0.401902 | − | 0.745278i | −0.0164350 | − | 0.0304767i | ||||
\(599\) | −4.95682 | − | 3.95293i | −0.202530 | − | 0.161512i | 0.516973 | − | 0.856002i | \(-0.327059\pi\) |
−0.719503 | + | 0.694490i | \(0.755630\pi\) | |||||||
\(600\) | 8.85925 | + | 0.773648i | 0.361678 | + | 0.0315840i | ||||
\(601\) | 32.4069 | + | 25.8436i | 1.32190 | + | 1.05418i | 0.993989 | + | 0.109476i | \(0.0349172\pi\) |
0.327914 | + | 0.944707i | \(0.393654\pi\) | |||||||
\(602\) | −0.847372 | + | 13.7208i | −0.0345363 | + | 0.559217i | ||||
\(603\) | 0.686203 | − | 0.547229i | 0.0279443 | − | 0.0222849i | ||||
\(604\) | −11.5954 | − | 19.3296i | −0.471809 | − | 0.786510i | ||||
\(605\) | 6.20976 | + | 1.41734i | 0.252463 | + | 0.0576230i | ||||
\(606\) | −21.7829 | + | 0.997584i | −0.884870 | + | 0.0405241i | ||||
\(607\) | −38.7415 | −1.57247 | −0.786234 | − | 0.617929i | \(-0.787972\pi\) | ||||
−0.786234 | + | 0.617929i | \(0.787972\pi\) | |||||||
\(608\) | 17.6259 | − | 0.0779733i | 0.714824 | − | 0.00316223i | ||||
\(609\) | −1.67454 | + | 2.69337i | −0.0678559 | + | 0.109141i | ||||
\(610\) | 10.3167 | − | 2.85705i | 0.417710 | − | 0.115678i | ||||
\(611\) | 0.178337 | − | 0.0407041i | 0.00721472 | − | 0.00164671i | ||||
\(612\) | 4.65900 | − | 4.47026i | 0.188329 | − | 0.180700i | ||||
\(613\) | 18.2395 | + | 22.8716i | 0.736685 | + | 0.923774i | 0.999152 | − | 0.0411672i | \(-0.0131076\pi\) |
−0.262467 | + | 0.964941i | \(0.584536\pi\) | |||||||
\(614\) | −25.2694 | + | 6.99797i | −1.01979 | + | 0.282415i | ||||
\(615\) | −0.236527 | − | 1.03629i | −0.00953770 | − | 0.0417874i | ||||
\(616\) | 14.3569 | − | 12.1676i | 0.578455 | − | 0.490247i | ||||
\(617\) | −9.36779 | + | 41.0430i | −0.377133 | + | 1.65233i | 0.329061 | + | 0.944309i | \(0.393268\pi\) |
−0.706194 | + | 0.708019i | \(0.749589\pi\) | |||||||
\(618\) | 0.791997 | + | 17.2938i | 0.0318588 | + | 0.695658i | ||||
\(619\) | 20.3849 | 0.819339 | 0.409669 | − | 0.912234i | \(-0.365644\pi\) | ||||
0.409669 | + | 0.912234i | \(0.365644\pi\) | |||||||
\(620\) | −17.0798 | − | 2.28285i | −0.685942 | − | 0.0916814i | ||||
\(621\) | −1.15771 | − | 2.40401i | −0.0464572 | − | 0.0964694i | ||||
\(622\) | 20.6586 | − | 18.0811i | 0.828333 | − | 0.724986i | ||||
\(623\) | 8.21453 | − | 8.29303i | 0.329108 | − | 0.332253i | ||||
\(624\) | 0.791896 | + | 0.422530i | 0.0317012 | + | 0.0169147i | ||||
\(625\) | −0.134917 | + | 0.591110i | −0.00539668 | + | 0.0236444i | ||||
\(626\) | −21.2731 | + | 29.3344i | −0.850244 | + | 1.17244i | ||||
\(627\) | 3.39990 | + | 7.05996i | 0.135779 | + | 0.281948i | ||||
\(628\) | −6.79986 | + | 6.52440i | −0.271344 | + | 0.260352i | ||||
\(629\) | 12.3801 | − | 25.7076i | 0.493627 | − | 1.02503i | ||||
\(630\) | 4.89009 | + | 1.43841i | 0.194826 | + | 0.0573077i | ||||
\(631\) | −0.357026 | − | 0.741373i | −0.0142130 | − | 0.0295136i | 0.893742 | − | 0.448582i | \(-0.148071\pi\) |
−0.907955 | + | 0.419069i | \(0.862357\pi\) | |||||||
\(632\) | −43.2227 | − | 13.9172i | −1.71931 | − | 0.553596i | ||||
\(633\) | 0.403898 | − | 0.0921871i | 0.0160535 | − | 0.00366411i | ||||
\(634\) | 10.1823 | − | 23.8812i | 0.404392 | − | 0.948443i | ||||
\(635\) | 9.97362 | − | 12.5065i | 0.395791 | − | 0.496306i | ||||
\(636\) | −6.36803 | + | 0.584495i | −0.252509 | + | 0.0231767i | ||||
\(637\) | −1.42161 | − | 0.668032i | −0.0563263 | − | 0.0264684i | ||||
\(638\) | 4.25879 | − | 0.195038i | 0.168607 | − | 0.00772163i | ||||
\(639\) | −8.05583 | − | 6.42431i | −0.318684 | − | 0.254142i | ||||
\(640\) | −15.2857 | − | 1.97426i | −0.604220 | − | 0.0780396i | ||||
\(641\) | −4.73622 | − | 20.7507i | −0.187069 | − | 0.819604i | −0.978151 | − | 0.207894i | \(-0.933339\pi\) |
0.791082 | − | 0.611710i | \(-0.209518\pi\) | |||||||
\(642\) | −5.56267 | − | 2.37178i | −0.219541 | − | 0.0936067i | ||||
\(643\) | −4.99520 | + | 2.40556i | −0.196991 | + | 0.0948660i | −0.529779 | − | 0.848136i | \(-0.677725\pi\) |
0.332788 | + | 0.943002i | \(0.392011\pi\) | |||||||
\(644\) | −8.62627 | − | 11.1774i | −0.339923 | − | 0.440451i | ||||
\(645\) | 4.50945 | + | 2.17164i | 0.177559 | + | 0.0855081i | ||||
\(646\) | 9.36922 | + | 10.7048i | 0.368627 | + | 0.421175i | ||||
\(647\) | 27.2395 | − | 13.1178i | 1.07089 | − | 0.515716i | 0.186500 | − | 0.982455i | \(-0.440286\pi\) |
0.884395 | + | 0.466739i | \(0.154571\pi\) | |||||||
\(648\) | 2.43190 | + | 1.44425i | 0.0955341 | + | 0.0567354i | ||||
\(649\) | 20.8418 | + | 4.75699i | 0.818110 | + | 0.186728i | ||||
\(650\) | −0.585753 | + | 0.807721i | −0.0229751 | + | 0.0316814i | ||||
\(651\) | 15.8201 | + | 5.45140i | 0.620039 | + | 0.213657i | ||||
\(652\) | 35.9415 | − | 34.4855i | 1.40758 | − | 1.35056i | ||||
\(653\) | 22.2613 | − | 10.7205i | 0.871151 | − | 0.419524i | 0.0557661 | − | 0.998444i | \(-0.482240\pi\) |
0.815384 | + | 0.578920i | \(0.196526\pi\) | |||||||
\(654\) | 16.1654 | + | 2.91882i | 0.632117 | + | 0.114135i | ||||
\(655\) | − | 4.88980i | − | 0.191060i | ||||||
\(656\) | −0.568145 | − | 3.06888i | −0.0221823 | − | 0.119820i | ||||
\(657\) | 1.93522 | + | 0.441700i | 0.0755000 | + | 0.0172324i | ||||
\(658\) | 2.82446 | − | 1.15151i | 0.110109 | − | 0.0448904i | ||||
\(659\) | −42.7764 | + | 9.76344i | −1.66633 | + | 0.380330i | −0.948721 | − | 0.316113i | \(-0.897622\pi\) |
−0.717612 | + | 0.696443i | \(0.754765\pi\) | |||||||
\(660\) | −2.12890 | − | 6.51285i | −0.0828674 | − | 0.253512i | ||||
\(661\) | 3.29770 | − | 2.62983i | 0.128266 | − | 0.102289i | −0.557256 | − | 0.830341i | \(-0.688146\pi\) |
0.685522 | + | 0.728052i | \(0.259574\pi\) | |||||||
\(662\) | −23.8333 | − | 27.2307i | −0.926306 | − | 1.05835i | ||||
\(663\) | 0.161199 | + | 0.706259i | 0.00626045 | + | 0.0274288i | ||||
\(664\) | 17.4270 | − | 6.59329i | 0.676299 | − | 0.255869i | ||||
\(665\) | −3.65878 | + | 10.6179i | −0.141881 | + | 0.411743i | ||||
\(666\) | 12.3003 | + | 2.22094i | 0.476628 | + | 0.0860597i | ||||
\(667\) | − | 3.19845i | − | 0.123844i | ||||||
\(668\) | 48.0860 | − | 4.41361i | 1.86050 | − | 0.170768i | ||||
\(669\) | 3.82894 | − | 16.7757i | 0.148035 | − | 0.648586i | ||||
\(670\) | −0.802599 | − | 1.48832i | −0.0310071 | − | 0.0574989i | ||||
\(671\) | 8.71244 | + | 10.9251i | 0.336340 | + | 0.421757i | ||||
\(672\) | 14.1715 | + | 4.81329i | 0.546679 | + | 0.185677i | ||||
\(673\) | 13.5441 | − | 16.9837i | 0.522085 | − | 0.654674i | −0.448965 | − | 0.893549i | \(-0.648207\pi\) |
0.971050 | + | 0.238875i | \(0.0767787\pi\) | |||||||
\(674\) | −7.88438 | − | 1.42360i | −0.303695 | − | 0.0548350i | ||||
\(675\) | −1.96034 | + | 2.45819i | −0.0754535 | + | 0.0946157i | ||||
\(676\) | 22.2097 | − | 13.3231i | 0.854218 | − | 0.512425i | ||||
\(677\) | −25.6293 | + | 20.4387i | −0.985014 | + | 0.785523i | −0.976736 | − | 0.214443i | \(-0.931206\pi\) |
−0.00827763 | + | 0.999966i | \(0.502635\pi\) | |||||||
\(678\) | −5.03231 | + | 11.8026i | −0.193265 | + | 0.453275i | ||||
\(679\) | 3.78945 | + | 32.2531i | 0.145426 | + | 1.23776i | ||||
\(680\) | −6.88038 | − | 10.3634i | −0.263851 | − | 0.397418i | ||||
\(681\) | 15.2833 | + | 7.36004i | 0.585656 | + | 0.282037i | ||||
\(682\) | −6.00322 | − | 21.6774i | −0.229875 | − | 0.830070i | ||||
\(683\) | 1.91205 | − | 3.97040i | 0.0731624 | − | 0.151923i | −0.861180 | − | 0.508301i | \(-0.830274\pi\) |
0.934342 | + | 0.356377i | \(0.115988\pi\) | |||||||
\(684\) | −3.42385 | + | 5.20692i | −0.130914 | + | 0.199092i | ||||
\(685\) | − | 12.9328i | − | 0.494137i | ||||||
\(686\) | −25.1963 | − | 7.15180i | −0.961998 | − | 0.273057i | ||||
\(687\) | − | 26.4436i | − | 1.00889i | ||||||
\(688\) | 12.9659 | + | 6.91817i | 0.494319 | + | 0.263753i | ||||
\(689\) | 0.311300 | − | 0.646420i | 0.0118596 | − | 0.0246266i | ||||
\(690\) | −4.95413 | + | 1.37197i | −0.188600 | + | 0.0522300i | ||||
\(691\) | −7.75273 | − | 3.73352i | −0.294928 | − | 0.142030i | 0.280569 | − | 0.959834i | \(-0.409477\pi\) |
−0.575497 | + | 0.817804i | \(0.695191\pi\) | |||||||
\(692\) | −6.04664 | − | 10.0798i | −0.229859 | − | 0.383177i | ||||
\(693\) | 0.776406 | + | 6.60822i | 0.0294932 | + | 0.251025i | ||||
\(694\) | 14.2286 | + | 6.06670i | 0.540109 | + | 0.230289i | ||||
\(695\) | −5.47155 | + | 4.36342i | −0.207548 | + | 0.165514i | ||||
\(696\) | 1.87530 | + | 2.82462i | 0.0710830 | + | 0.107067i | ||||
\(697\) | 1.57054 | − | 1.96940i | 0.0594886 | − | 0.0745964i | ||||
\(698\) | −0.633729 | + | 3.50981i | −0.0239870 | + | 0.132848i | ||||
\(699\) | −4.07973 | + | 5.11583i | −0.154310 | + | 0.193498i | ||||
\(700\) | −7.45626 | + | 14.8728i | −0.281820 | + | 0.562140i | ||||
\(701\) | 2.96012 | + | 3.71188i | 0.111802 | + | 0.140196i | 0.834584 | − | 0.550881i | \(-0.185708\pi\) |
−0.722782 | + | 0.691077i | \(0.757137\pi\) | |||||||
\(702\) | −0.279314 | + | 0.150624i | −0.0105420 | + | 0.00568494i | ||||
\(703\) | −6.12800 | + | 26.8485i | −0.231122 | + | 1.01261i | ||||
\(704\) | −5.45522 | − | 19.3651i | −0.205601 | − | 0.729850i | ||||
\(705\) | − | 1.11054i | − | 0.0418252i | ||||||
\(706\) | −5.28938 | + | 29.2944i | −0.199068 | + | 1.10251i | ||||
\(707\) | 13.2904 | − | 38.5692i | 0.499838 | − | 1.45054i | ||||
\(708\) | 5.28226 | + | 16.1598i | 0.198519 | + | 0.607321i | ||||
\(709\) | −11.3384 | − | 49.6768i | −0.425823 | − | 1.86565i | −0.496321 | − | 0.868139i | \(-0.665316\pi\) |
0.0704983 | − | 0.997512i | \(-0.477541\pi\) | |||||||
\(710\) | −14.9378 | + | 13.0740i | −0.560604 | + | 0.490660i | ||||
\(711\) | 12.5516 | − | 10.0096i | 0.470724 | − | 0.375390i | ||||
\(712\) | −4.41569 | − | 11.6713i | −0.165485 | − | 0.437400i | ||||
\(713\) | −16.4522 | + | 3.75510i | −0.616139 | + | 0.140630i | ||||
\(714\) | 4.56026 | + | 11.1856i | 0.170664 | + | 0.418610i | ||||
\(715\) | 0.749490 | + | 0.171066i | 0.0280293 | + | 0.00639751i | ||||
\(716\) | 3.71885 | + | 40.5166i | 0.138980 | + | 1.51418i | ||||
\(717\) | − | 7.04784i | − | 0.263207i | ||||||
\(718\) | −5.59880 | + | 31.0081i | −0.208945 | + | 1.15721i | ||||
\(719\) | 26.7690 | − | 12.8913i | 0.998316 | − | 0.480764i | 0.137949 | − | 0.990439i | \(-0.455949\pi\) |
0.860367 | + | 0.509676i | \(0.170235\pi\) | |||||||
\(720\) | 3.57069 | − | 4.11630i | 0.133072 | − | 0.153405i | ||||
\(721\) | −30.6207 | − | 10.5515i | −1.14037 | − | 0.392957i | ||||
\(722\) | 10.6372 | + | 7.71403i | 0.395877 | + | 0.287087i | ||||
\(723\) | 15.6161 | + | 3.56428i | 0.580769 | + | 0.132557i | ||||
\(724\) | −31.2190 | − | 20.5283i | −1.16025 | − | 0.762928i | ||||
\(725\) | −3.39567 | + | 1.63527i | −0.126112 | + | 0.0607323i | ||||
\(726\) | −4.97560 | + | 4.35482i | −0.184662 | + | 0.161622i | ||||
\(727\) | −4.06667 | − | 1.95841i | −0.150824 | − | 0.0726332i | 0.356949 | − | 0.934124i | \(-0.383817\pi\) |
−0.507773 | + | 0.861491i | \(0.669531\pi\) | |||||||
\(728\) | −1.28102 | + | 1.08568i | −0.0474777 | + | 0.0402379i | ||||
\(729\) | −0.900969 | + | 0.433884i | −0.0333692 | + | 0.0160698i | ||||
\(730\) | 1.49991 | − | 3.51782i | 0.0555141 | − | 0.130200i | ||||
\(731\) | 2.63934 | + | 11.5637i | 0.0976196 | + | 0.427699i | ||||
\(732\) | −3.88638 | + | 10.4112i | −0.143645 | + | 0.384809i | ||||
\(733\) | 16.3932 | + | 13.0732i | 0.605498 | + | 0.482869i | 0.877596 | − | 0.479401i | \(-0.159146\pi\) |
−0.272098 | + | 0.962270i | \(0.587717\pi\) | |||||||
\(734\) | 1.79021 | + | 39.0904i | 0.0660779 | + | 1.44285i | ||||
\(735\) | −5.87449 | + | 7.51183i | −0.216684 | + | 0.277078i | ||||
\(736\) | −14.7004 | + | 3.42377i | −0.541865 | + | 0.126202i | ||||
\(737\) | 1.37620 | − | 1.72570i | 0.0506929 | − | 0.0635669i | ||||
\(738\) | 1.01504 | + | 0.432786i | 0.0373640 | + | 0.0159311i | ||||
\(739\) | −19.4307 | + | 4.43493i | −0.714769 | + | 0.163141i | −0.564415 | − | 0.825491i | \(-0.690898\pi\) |
−0.150354 | + | 0.988632i | \(0.548041\pi\) | |||||||
\(740\) | 8.42147 | − | 22.5602i | 0.309579 | − | 0.829329i | ||||
\(741\) | −0.303362 | − | 0.629938i | −0.0111443 | − | 0.0231414i | ||||
\(742\) | 3.37604 | − | 11.4773i | 0.123938 | − | 0.421347i | ||||
\(743\) | 4.21297 | − | 8.74832i | 0.154559 | − | 0.320945i | −0.809283 | − | 0.587418i | \(-0.800144\pi\) |
0.963842 | + | 0.266474i | \(0.0858586\pi\) | |||||||
\(744\) | 12.3276 | − | 12.9624i | 0.451952 | − | 0.475224i | ||||
\(745\) | 9.85828 | + | 20.4709i | 0.361179 | + | 0.749997i | ||||
\(746\) | 4.09497 | + | 2.96964i | 0.149928 | + | 0.108726i | ||||
\(747\) | −1.46588 | + | 6.42244i | −0.0536337 | + | 0.234985i | ||||
\(748\) | 8.92133 | − | 13.5674i | 0.326196 | − | 0.496073i | ||||
\(749\) | 7.96156 | − | 8.03764i | 0.290909 | − | 0.293689i | ||||
\(750\) | 10.3337 | + | 11.8068i | 0.377335 | + | 0.431124i | ||||
\(751\) | −12.6521 | − | 26.2723i | −0.461680 | − | 0.958689i | −0.993712 | − | 0.111965i | \(-0.964286\pi\) |
0.532032 | − | 0.846724i | \(-0.321429\pi\) | |||||||
\(752\) | 0.134765 | − | 3.25798i | 0.00491436 | − | 0.118806i | ||||
\(753\) | 16.3182 | 0.594667 | ||||||||
\(754\) | −0.379998 | + | 0.0174026i | −0.0138387 | + | 0.000633767i | ||||
\(755\) | 3.41650 | − | 14.9687i | 0.124339 | − | 0.544766i | ||||
\(756\) | −4.18905 | + | 3.23294i | −0.152354 | + | 0.117581i | ||||
\(757\) | 5.15190 | + | 22.5719i | 0.187249 | + | 0.820391i | 0.978059 | + | 0.208329i | \(0.0668025\pi\) |
−0.790810 | + | 0.612062i | \(0.790340\pi\) | |||||||
\(758\) | −2.31521 | − | 8.36013i | −0.0840923 | − | 0.303654i | ||||
\(759\) | −4.18377 | − | 5.24628i | −0.151861 | − | 0.190428i | ||||
\(760\) | 8.69986 | + | 8.27383i | 0.315577 | + | 0.300123i | ||||
\(761\) | −49.3659 | + | 11.2674i | −1.78951 | + | 0.408445i | −0.983124 | − | 0.182940i | \(-0.941438\pi\) |
−0.806389 | + | 0.591385i | \(0.798581\pi\) | |||||||
\(762\) | 4.43198 | + | 16.0037i | 0.160554 | + | 0.579752i | ||||
\(763\) | −16.2264 | + | 26.0988i | −0.587433 | + | 0.944838i | ||||
\(764\) | −30.7654 | − | 4.11203i | −1.11305 | − | 0.148768i | ||||
\(765\) | 4.39801 | 0.159010 | ||||||||
\(766\) | 2.28131 | + | 49.8139i | 0.0824270 | + | 1.79985i | ||||
\(767\) | −1.85964 | − | 0.424452i | −0.0671479 | − | 0.0153261i | ||||
\(768\) | 10.9749 | − | 11.6427i | 0.396022 | − | 0.420119i | ||||
\(769\) | −12.1625 | + | 9.69925i | −0.438590 | + | 0.349764i | −0.817756 | − | 0.575565i | \(-0.804782\pi\) |
0.379166 | + | 0.925329i | \(0.376211\pi\) | |||||||
\(770\) | 12.7945 | + | 0.790165i | 0.461081 | + | 0.0284756i | ||||
\(771\) | 18.7935 | + | 14.9873i | 0.676831 | + | 0.539755i | ||||
\(772\) | 3.37220 | − | 25.2301i | 0.121368 | − | 0.908051i | ||||
\(773\) | 12.0916 | + | 9.64271i | 0.434904 | + | 0.346824i | 0.816341 | − | 0.577571i | \(-0.195999\pi\) |
−0.381437 | + | 0.924395i | \(0.624571\pi\) | |||||||
\(774\) | −4.57326 | + | 2.46620i | −0.164382 | + | 0.0886456i | ||||
\(775\) | 12.3981 | + | 15.5468i | 0.445354 | + | 0.558457i | ||||
\(776\) | 33.0464 | + | 10.6405i | 1.18629 | + | 0.381972i | ||||
\(777\) | −12.3467 | + | 19.8586i | −0.442935 | + | 0.712425i | ||||
\(778\) | −13.0218 | − | 24.1473i | −0.466854 | − | 0.865723i | ||||
\(779\) | −1.05485 | + | 2.19042i | −0.0377940 | + | 0.0784800i | ||||
\(780\) | 0.189955 | + | 0.581121i | 0.00680149 | + | 0.0208075i | ||||
\(781\) | −23.3464 | − | 11.2430i | −0.835399 | − | 0.402307i | ||||
\(782\) | −9.86190 | − | 7.15177i | −0.352661 | − | 0.255747i | ||||
\(783\) | −1.19871 | −0.0428383 | ||||||||
\(784\) | −18.1456 | + | 21.3246i | −0.648056 | + | 0.761593i | ||||
\(785\) | −6.41894 | −0.229102 | ||||||||
\(786\) | 4.10932 | + | 2.98004i | 0.146574 | + | 0.106295i | ||||
\(787\) | 15.6128 | + | 7.51872i | 0.556536 | + | 0.268013i | 0.690939 | − | 0.722913i | \(-0.257197\pi\) |
−0.134403 | + | 0.990927i | \(0.542912\pi\) | |||||||
\(788\) | −10.4631 | − | 32.0094i | −0.372734 | − | 1.14029i | ||||
\(789\) | −12.0237 | + | 24.9675i | −0.428056 | + | 0.888868i | ||||
\(790\) | −14.6807 | − | 27.2235i | −0.522316 | − | 0.968570i | ||||
\(791\) | −17.0538 | − | 16.8924i | −0.606364 | − | 0.600625i | ||||
\(792\) | 6.77075 | + | 2.18010i | 0.240588 | + | 0.0774664i | ||||
\(793\) | −0.777384 | − | 0.974808i | −0.0276057 | − | 0.0346165i | ||||
\(794\) | 5.70009 | − | 3.07386i | 0.202289 | − | 0.109087i | ||||
\(795\) | −3.40552 | − | 2.71581i | −0.120781 | − | 0.0963198i | ||||
\(796\) | −2.37849 | + | 17.7954i | −0.0843032 | + | 0.630740i | ||||
\(797\) | 11.3258 | + | 9.03205i | 0.401182 | + | 0.319932i | 0.803210 | − | 0.595695i | \(-0.203123\pi\) |
−0.402029 | + | 0.915627i | \(0.631695\pi\) | |||||||
\(798\) | −6.69330 | − | 9.54575i | −0.236940 | − | 0.337916i | ||||
\(799\) | 2.05758 | − | 1.64086i | 0.0727919 | − | 0.0580496i | ||||
\(800\) | 11.1508 | + | 13.8564i | 0.394239 | + | 0.489898i | ||||
\(801\) | 4.30126 | + | 0.981736i | 0.151978 | + | 0.0346879i | ||||
\(802\) | −0.819548 | − | 17.8954i | −0.0289393 | − | 0.631908i | ||||
\(803\) | 4.99194 | 0.176162 | ||||||||
\(804\) | 1.73990 | + | 0.232551i | 0.0613616 | + | 0.00820144i | ||||
\(805\) | 1.03133 | − | 9.56171i | 0.0363495 | − | 0.337006i | ||||
\(806\) | 0.535649 | + | 1.93421i | 0.0188674 | + | 0.0681295i | ||||
\(807\) | −4.32745 | + | 0.987711i | −0.152333 | + | 0.0347691i | ||||
\(808\) | −31.6020 | − | 30.0545i | −1.11176 | − | 1.05731i | ||||
\(809\) | −6.81568 | − | 8.54659i | −0.239626 | − | 0.300482i | 0.647447 | − | 0.762111i | \(-0.275837\pi\) |
−0.887073 | + | 0.461629i | \(0.847265\pi\) | |||||||
\(810\) | 0.514185 | + | 1.85670i | 0.0180666 | + | 0.0652378i | ||||
\(811\) | 5.59725 | + | 24.5232i | 0.196546 | + | 0.861125i | 0.972973 | + | 0.230918i | \(0.0741729\pi\) |
−0.776427 | + | 0.630207i | \(0.782970\pi\) | |||||||
\(812\) | −6.20562 | + | 1.31285i | −0.217774 | + | 0.0460720i | ||||
\(813\) | 0.291645 | − | 1.27778i | 0.0102284 | − | 0.0448137i | ||||
\(814\) | 31.4008 | − | 1.43805i | 1.10060 | − | 0.0504036i | ||||
\(815\) | 33.9281 | 1.18845 | ||||||||
\(816\) | 12.9024 | + | 0.533703i | 0.451676 | + | 0.0186833i | ||||
\(817\) | −4.96701 | − | 10.3141i | −0.173774 | − | 0.360845i | ||||
\(818\) | −18.9997 | − | 21.7081i | −0.664308 | − | 0.759005i | ||||
\(819\) | −0.0692763 | − | 0.589631i | −0.00242071 | − | 0.0206034i | ||||
\(820\) | 1.16800 | − | 1.77628i | 0.0407885 | − | 0.0620303i | ||||
\(821\) | −2.00309 | + | 8.77609i | −0.0699082 | + | 0.306288i | −0.997779 | − | 0.0666145i | \(-0.978780\pi\) |
0.927871 | + | 0.372902i | \(0.121637\pi\) | |||||||
\(822\) | 10.8686 | + | 7.88179i | 0.379084 | + | 0.274909i | ||||
\(823\) | 2.95245 | + | 6.13082i | 0.102916 | + | 0.213707i | 0.946068 | − | 0.323968i | \(-0.105017\pi\) |
−0.843152 | + | 0.537675i | \(0.819303\pi\) | |||||||
\(824\) | −23.8607 | + | 25.0893i | −0.831228 | + | 0.874029i | ||||
\(825\) | −3.43074 | + | 7.12400i | −0.119443 | + | 0.248026i | ||||
\(826\) | −31.7458 | − | 1.96057i | −1.10458 | − | 0.0682169i | ||||
\(827\) | 2.84727 | + | 5.91241i | 0.0990092 | + | 0.205595i | 0.944590 | − | 0.328253i | \(-0.106460\pi\) |
−0.845581 | + | 0.533848i | \(0.820746\pi\) | |||||||
\(828\) | 1.86626 | − | 4.99952i | 0.0648572 | − | 0.173745i | ||||
\(829\) | 17.7035 | − | 4.04072i | 0.614869 | − | 0.140340i | 0.0962669 | − | 0.995356i | \(-0.469310\pi\) |
0.518602 | + | 0.855016i | \(0.326453\pi\) | |||||||
\(830\) | 11.6747 | + | 4.97777i | 0.405233 | + | 0.172781i | ||||
\(831\) | 10.3101 | − | 12.9284i | 0.357652 | − | 0.448482i | ||||
\(832\) | 0.486752 | + | 1.72789i | 0.0168751 | + | 0.0599037i | ||||
\(833\) | −22.5976 | + | 0.214913i | −0.782959 | + | 0.00744631i | ||||
\(834\) | −0.332367 | − | 7.25746i | −0.0115089 | − | 0.251305i | ||||
\(835\) | 25.7156 | + | 20.5075i | 0.889924 | + | 0.709691i | ||||
\(836\) | −5.48075 | + | 14.6823i | −0.189556 | + | 0.507799i | ||||
\(837\) | 1.40733 | + | 6.16592i | 0.0486445 | + | 0.213125i | ||||
\(838\) | −20.7302 | + | 48.6197i | −0.716112 | + | 1.67954i | ||||
\(839\) | 6.96923 | − | 3.35621i | 0.240605 | − | 0.115869i | −0.309696 | − | 0.950836i | \(-0.600227\pi\) |
0.550301 | + | 0.834966i | \(0.314513\pi\) | |||||||
\(840\) | 4.69539 | + | 9.04884i | 0.162006 | + | 0.312215i | ||||
\(841\) | 24.8335 | + | 11.9592i | 0.856327 | + | 0.412386i | ||||
\(842\) | 34.9314 | − | 30.5732i | 1.20382 | − | 1.05362i | ||||
\(843\) | 16.5460 | − | 7.96813i | 0.569874 | − | 0.274437i | ||||
\(844\) | 0.692309 | + | 0.455232i | 0.0238303 | + | 0.0156697i | ||||
\(845\) | 17.1990 | + | 3.92556i | 0.591663 | + | 0.135043i | ||||
\(846\) | 0.933278 | + | 0.676806i | 0.0320868 | + | 0.0232691i | ||||
\(847\) | −4.14111 | − | 11.6565i | −0.142290 | − | 0.400523i | ||||
\(848\) | −9.66120 | − | 8.38064i | −0.331767 | − | 0.287792i | ||||
\(849\) | 8.05424 | − | 3.87872i | 0.276421 | − | 0.133117i | ||||
\(850\) | −2.55067 | + | 14.1265i | −0.0874872 | + | 0.484534i | ||||
\(851\) | − | 23.5827i | − | 0.808404i | ||||||
\(852\) | −1.88357 | − | 20.5213i | −0.0645299 | − | 0.703049i | ||||
\(853\) | −10.4137 | − | 2.37686i | −0.356558 | − | 0.0813820i | 0.0404899 | − | 0.999180i | \(-0.487108\pi\) |
−0.397048 | + | 0.917798i | \(0.629965\pi\) | |||||||
\(854\) | −15.4246 | − | 13.9399i | −0.527820 | − | 0.477013i | ||||
\(855\) | −4.13833 | + | 0.944547i | −0.141528 | + | 0.0323028i | ||||
\(856\) | −4.27971 | − | 11.3119i | −0.146277 | − | 0.386632i | ||||
\(857\) | −30.0100 | + | 23.9322i | −1.02512 | + | 0.817508i | −0.983369 | − | 0.181620i | \(-0.941866\pi\) |
−0.0417534 | + | 0.999128i | \(0.513294\pi\) | |||||||
\(858\) | −0.600531 | + | 0.525606i | −0.0205018 | + | 0.0179439i | ||||
\(859\) | 6.27934 | + | 27.5116i | 0.214248 | + | 0.938684i | 0.961643 | + | 0.274303i | \(0.0884473\pi\) |
−0.747395 | + | 0.664380i | \(0.768696\pi\) | |||||||
\(860\) | 3.11017 | + | 9.51480i | 0.106056 | + | 0.324452i | ||||
\(861\) | −1.45277 | + | 1.46665i | −0.0495102 | + | 0.0499834i | ||||
\(862\) | 1.82381 | − | 10.1009i | 0.0621193 | − | 0.344038i | ||||
\(863\) | 0.449602i | 0.0153046i | 0.999971 | + | 0.00765231i | \(0.00243583\pi\) | ||||
−0.999971 | + | 0.00765231i | \(0.997564\pi\) | |||||||
\(864\) | 1.28315 | + | 5.50940i | 0.0436538 | + | 0.187434i | ||||
\(865\) | 1.78161 | − | 7.80573i | 0.0605765 | − | 0.265403i | ||||
\(866\) | 28.2537 | − | 15.2362i | 0.960101 | − | 0.517748i | ||||
\(867\) | −4.10108 | − | 5.14259i | −0.139280 | − | 0.174652i | ||||
\(868\) | 14.0387 | + | 30.3791i | 0.476504 | + | 1.03113i | ||||
\(869\) | 25.1727 | − | 31.5655i | 0.853925 | − | 1.07079i | ||||
\(870\) | −0.410351 | + | 2.27266i | −0.0139122 | + | 0.0770504i | ||||
\(871\) | −0.122794 | + | 0.153979i | −0.00416071 | + | 0.00521737i | ||||
\(872\) | 18.1717 | + | 27.3706i | 0.615370 | + | 0.926886i | ||||
\(873\) | −9.59649 | + | 7.65295i | −0.324792 | + | 0.259013i | ||||
\(874\) | 10.8156 | + | 4.61149i | 0.365842 | + | 0.155986i | ||||
\(875\) | −27.6603 | + | 9.82664i | −0.935089 | + | 0.332201i | ||||
\(876\) | 2.04222 | + | 3.40441i | 0.0690003 | + | 0.115024i | ||||
\(877\) | −39.6257 | − | 19.0827i | −1.33807 | − | 0.644378i | −0.378431 | − | 0.925629i | \(-0.623536\pi\) |
−0.959634 | + | 0.281251i | \(0.909251\pi\) | |||||||
\(878\) | 49.7378 | − | 13.7741i | 1.67857 | − | 0.464854i | ||||
\(879\) | 5.66897 | − | 11.7717i | 0.191210 | − | 0.397051i | ||||
\(880\) | 6.45111 | − | 12.0905i | 0.217467 | − | 0.407571i | ||||
\(881\) | − | 29.8733i | − | 1.00646i | −0.864154 | − | 0.503228i | \(-0.832146\pi\) | ||
0.864154 | − | 0.503228i | \(-0.167854\pi\) | |||||||
\(882\) | −2.73268 | − | 9.51485i | −0.0920142 | − | 0.320382i | ||||
\(883\) | 24.6849i | 0.830715i | 0.909658 | + | 0.415357i | \(0.136343\pi\) | ||||
−0.909658 | + | 0.415357i | \(0.863657\pi\) | |||||||
\(884\) | −0.796023 | + | 1.21058i | −0.0267731 | + | 0.0407161i | ||||
\(885\) | −5.02453 | + | 10.4335i | −0.168898 | + | 0.350720i | ||||
\(886\) | −3.59671 | − | 12.9876i | −0.120834 | − | 0.436326i | ||||
\(887\) | 30.6950 | + | 14.7820i | 1.03064 | + | 0.496329i | 0.871226 | − | 0.490883i | \(-0.163326\pi\) |
0.159413 | + | 0.987212i | \(0.449040\pi\) | |||||||
\(888\) | 13.8269 | + | 20.8264i | 0.464000 | + | 0.698888i | ||||
\(889\) | −30.8879 | − | 3.33157i | −1.03595 | − | 0.111737i | ||||
\(890\) | 3.33374 | − | 7.81880i | 0.111747 | − | 0.262087i | ||||
\(891\) | −1.96619 | + | 1.56798i | −0.0658699 | + | 0.0525295i | ||||
\(892\) | 29.5116 | − | 17.7033i | 0.988120 | − | 0.592750i | ||||
\(893\) | −1.58369 | + | 1.98588i | −0.0529961 | + | 0.0664549i | ||||
\(894\) | −23.2115 | − | 4.19106i | −0.776309 | − | 0.140170i | ||||
\(895\) | −17.2793 | + | 21.6676i | −0.577584 | + | 0.724268i | ||||
\(896\) | 12.6768 | + | 27.1164i | 0.423502 | + | 0.905895i | ||||
\(897\) | 0.373304 | + | 0.468109i | 0.0124643 | + | 0.0156297i | ||||
\(898\) | 6.09692 | + | 11.3060i | 0.203457 | + | 0.377286i | ||||
\(899\) | −1.68698 | + | 7.39114i | −0.0562639 | + | 0.246508i | ||||
\(900\) | −6.26196 | + | 0.574758i | −0.208732 | + | 0.0191586i | ||||
\(901\) | − | 10.3224i | − | 0.343889i | ||||||
\(902\) | 2.73085 | + | 0.493082i | 0.0909275 | + | 0.0164178i | ||||
\(903\) | −1.13427 | − | 9.65413i | −0.0377463 | − | 0.321269i | ||||
\(904\) | −24.0009 | + | 9.08044i | −0.798259 | + | 0.302011i | ||||
\(905\) | −5.66321 | − | 24.8121i | −0.188251 | − | 0.824783i | ||||
\(906\) | 10.4973 | + | 11.9937i | 0.348750 | + | 0.398464i | ||||
\(907\) | 3.42495 | − | 2.73130i | 0.113723 | − | 0.0906914i | −0.564977 | − | 0.825107i | \(-0.691115\pi\) |
0.678700 | + | 0.734415i | \(0.262544\pi\) | |||||||
\(908\) | 10.5409 | + | 32.2472i | 0.349811 | + | 1.07016i | ||||
\(909\) | 15.0324 | − | 3.43105i | 0.498593 | − | 0.113801i | ||||
\(910\) | −1.14161 | − | 0.0705040i | −0.0378440 | − | 0.00233718i | ||||
\(911\) | 3.19085 | + | 0.728290i | 0.105717 | + | 0.0241293i | 0.275052 | − | 0.961429i | \(-0.411305\pi\) |
−0.169335 | + | 0.985559i | \(0.554162\pi\) | |||||||
\(912\) | −12.2553 | + | 2.26883i | −0.405812 | + | 0.0751285i | ||||
\(913\) | 16.5668i | 0.548283i | ||||||||
\(914\) | 46.4383 | + | 8.38488i | 1.53604 | + | 0.277347i | ||||
\(915\) | −6.81994 | + | 3.28431i | −0.225460 | + | 0.108576i | ||||
\(916\) | 38.1619 | − | 36.6160i | 1.26090 | − | 1.20983i | ||||
\(917\) | −8.01687 | + | 5.09066i | −0.264740 | + | 0.168108i | ||||
\(918\) | −2.68033 | + | 3.69603i | −0.0884640 | + | 0.121987i | ||||
\(919\) | −8.28965 | − | 1.89206i | −0.273450 | − | 0.0624132i | 0.0835967 | − | 0.996500i | \(-0.473359\pi\) |
−0.357047 | + | 0.934086i | \(0.616216\pi\) | |||||||
\(920\) | −8.83984 | − | 5.24977i | −0.291441 | − | 0.173080i | ||||
\(921\) | 16.7046 | − | 8.04450i | 0.550434 | − | 0.265075i | ||||
\(922\) | −17.4969 | − | 19.9911i | −0.576230 | − | 0.658372i | ||||
\(923\) | 2.08312 | + | 1.00318i | 0.0685669 | + | 0.0330201i | ||||
\(924\) | −8.46152 | + | 10.2707i | −0.278364 | + | 0.337883i | ||||
\(925\) | −25.0368 | + | 12.0571i | −0.823206 | + | 0.396435i | ||||
\(926\) | −22.7863 | − | 9.71549i | −0.748804 | − | 0.319271i | ||||
\(927\) | −2.72396 | − | 11.9345i | −0.0894666 | − | 0.391979i | ||||
\(928\) | −1.47964 | + | 6.61752i | −0.0485714 | + | 0.217231i | ||||
\(929\) | −30.5360 | − | 24.3517i | −1.00185 | − | 0.798952i | −0.0222220 | − | 0.999753i | \(-0.507074\pi\) |
−0.979632 | + | 0.200801i | \(0.935646\pi\) | |||||||
\(930\) | 12.1719 | − | 0.557431i | 0.399132 | − | 0.0182789i | ||||
\(931\) | 21.2172 | − | 5.05544i | 0.695365 | − | 0.165685i | ||||
\(932\) | −13.0320 | + | 1.19615i | −0.426877 | + | 0.0391812i | ||||
\(933\) | −12.1036 | + | 15.1774i | −0.396254 | + | 0.496886i | ||||
\(934\) | −14.9392 | + | 35.0378i | −0.488826 | + | 1.14647i | ||||
\(935\) | 10.7830 | − | 2.46116i | 0.352643 | − | 0.0804884i | ||||
\(936\) | −0.604133 | − | 0.194523i | −0.0197467 | − | 0.00635819i | ||||
\(937\) | 24.8070 | + | 51.5124i | 0.810411 | + | 1.68284i | 0.727325 | + | 0.686293i | \(0.240763\pi\) |
0.0830856 | + | 0.996542i | \(0.473523\pi\) | |||||||
\(938\) | −1.60455 | + | 2.86533i | −0.0523903 | + | 0.0935562i | ||||
\(939\) | 11.1173 | − | 23.0853i | 0.362800 | − | 0.753361i | ||||
\(940\) | 1.60266 | − | 1.53774i | 0.0522730 | − | 0.0501555i | ||||
\(941\) | −4.48364 | − | 9.31038i | −0.146162 | − | 0.303510i | 0.815015 | − | 0.579440i | \(-0.196729\pi\) |
−0.961178 | + | 0.275930i | \(0.911014\pi\) | |||||||
\(942\) | 3.91197 | − | 5.39439i | 0.127459 | − | 0.175759i | ||||
\(943\) | 0.463270 | − | 2.02972i | 0.0150861 | − | 0.0660967i | ||||
\(944\) | −16.0066 | + | 29.9992i | −0.520970 | + | 0.976390i | ||||
\(945\) | −3.58352 | − | 0.386519i | −0.116572 | − | 0.0125735i | ||||
\(946\) | −9.83261 | + | 8.60585i | −0.319686 | + | 0.279800i | ||||
\(947\) | −21.3710 | − | 44.3773i | −0.694464 | − | 1.44207i | −0.887467 | − | 0.460871i | \(-0.847537\pi\) |
0.193003 | − | 0.981198i | \(-0.438177\pi\) | |||||||
\(948\) | 31.8253 | + | 4.25370i | 1.03364 | + | 0.138154i | ||||
\(949\) | −0.445415 | −0.0144588 | ||||||||
\(950\) | −0.633834 | − | 13.8402i | −0.0205643 | − | 0.449035i | ||||
\(951\) | −4.08491 | + | 17.8972i | −0.132462 | + | 0.580356i | ||||
\(952\) | −9.82787 | + | 22.0696i | −0.318523 | + | 0.715279i | ||||
\(953\) | −8.15766 | − | 35.7410i | −0.264252 | − | 1.15777i | −0.916587 | − | 0.399835i | \(-0.869067\pi\) |
0.652335 | − | 0.757931i | \(-0.273790\pi\) | |||||||
\(954\) | 4.35779 | − | 1.20682i | 0.141089 | − | 0.0390723i | ||||
\(955\) | −13.1819 | − | 16.5296i | −0.426558 | − | 0.534886i | ||||
\(956\) | 10.1710 | − | 9.75902i | 0.328955 | − | 0.315629i | ||||
\(957\) | −2.93899 | + | 0.670806i | −0.0950041 | + | 0.0216841i | ||||
\(958\) | 38.5542 | − | 10.6770i | 1.24563 | − | 0.344959i | ||||
\(959\) | −21.2035 | + | 13.4641i | −0.684696 | + | 0.434778i | ||||
\(960\) | 10.8847 | − | 0.546744i | 0.351301 | − | 0.0176461i | ||||
\(961\) | 8.99914 | 0.290295 | ||||||||
\(962\) | −2.80179 | + | 0.128313i | −0.0903334 | + | 0.00413697i | ||||
\(963\) | 4.16881 | + | 0.951503i | 0.134338 | + | 0.0306618i | ||||
\(964\) | 16.4796 | + | 27.4716i | 0.530771 | + | 0.884802i | ||||
\(965\) | 13.5556 | − | 10.8103i | 0.436371 | − | 0.347995i | ||||
\(966\) | 7.40700 | + | 6.69401i | 0.238316 | + | 0.215376i | ||||
\(967\) | −28.4693 | − | 22.7035i | −0.915510 | − | 0.730095i | 0.0476955 | − | 0.998862i | \(-0.484812\pi\) |
−0.963205 | + | 0.268767i | \(0.913384\pi\) | |||||||
\(968\) | −13.1742 | − | 1.15046i | −0.423436 | − | 0.0369772i | ||||
\(969\) | −7.86460 | − | 6.27181i | −0.252647 | − | 0.201480i | ||||
\(970\) | 11.2243 | + | 20.8140i | 0.360390 | + | 0.668299i | ||||
\(971\) | 13.5305 | + | 16.9667i | 0.434213 | + | 0.544486i | 0.950008 | − | 0.312226i | \(-0.101075\pi\) |
−0.515795 | + | 0.856712i | \(0.672503\pi\) | |||||||
\(972\) | −1.87371 | − | 0.699435i | −0.0600993 | − | 0.0224344i | ||||
\(973\) | 12.8502 | + | 4.42800i | 0.411958 | + | 0.141955i | ||||
\(974\) | 51.8939 | − | 27.9846i | 1.66279 | − | 0.896683i | ||||
\(975\) | 0.306114 | − | 0.635652i | 0.00980350 | − | 0.0203572i | ||||
\(976\) | −20.4062 | + | 8.80758i | −0.653187 | + | 0.281924i | ||||
\(977\) | −41.5049 | − | 19.9877i | −1.32786 | − | 0.639463i | −0.370626 | − | 0.928782i | \(-0.620857\pi\) |
−0.957233 | + | 0.289319i | \(0.906571\pi\) | |||||||
\(978\) | −20.6772 | + | 28.5127i | −0.661184 | + | 0.911737i | ||||
\(979\) | 11.0952 | 0.354605 | ||||||||
\(980\) | −18.9749 | + | 1.92377i | −0.606132 | + | 0.0614525i | ||||
\(981\) | −11.6155 | −0.370855 | ||||||||
\(982\) | 9.04647 | − | 12.4746i | 0.288684 | − | 0.398080i | ||||
\(983\) | −9.81063 | − | 4.72455i | −0.312910 | − | 0.150690i | 0.270837 | − | 0.962625i | \(-0.412700\pi\) |
−0.583747 | + | 0.811936i | \(0.698414\pi\) | |||||||
\(984\) | 0.780930 | + | 2.06411i | 0.0248952 | + | 0.0658015i | ||||
\(985\) | 9.95263 | − | 20.6669i | 0.317117 | − | 0.658501i | ||||
\(986\) | −4.81705 | + | 2.59766i | −0.153406 | + | 0.0827265i | ||||
\(987\) | −1.82073 | + | 1.15615i | −0.0579546 | + | 0.0368008i | ||||
\(988\) | 0.489030 | − | 1.31006i | 0.0155581 | − | 0.0416785i | ||||
\(989\) | 6.11218 | + | 7.66443i | 0.194356 | + | 0.243715i | ||||
\(990\) | 2.29970 | + | 4.26451i | 0.0730893 | + | 0.135535i | ||||
\(991\) | −8.61335 | − | 6.86892i | −0.273612 | − | 0.218198i | 0.477064 | − | 0.878868i | \(-0.341701\pi\) |
−0.750676 | + | 0.660670i | \(0.770272\pi\) | |||||||
\(992\) | 35.7764 | − | 0.158267i | 1.13590 | − | 0.00502499i | ||||
\(993\) | 20.0058 | + | 15.9541i | 0.634866 | + | 0.506289i | ||||
\(994\) | 36.9864 | + | 10.8795i | 1.17314 | + | 0.345076i | ||||
\(995\) | −9.56109 | + | 7.62472i | −0.303107 | + | 0.241720i | ||||
\(996\) | −11.2983 | + | 6.77756i | −0.357999 | + | 0.214755i | ||||
\(997\) | 9.76329 | + | 2.22841i | 0.309207 | + | 0.0705744i | 0.374309 | − | 0.927304i | \(-0.377880\pi\) |
−0.0651019 | + | 0.997879i | \(0.520737\pi\) | |||||||
\(998\) | 0.855336 | − | 0.0391715i | 0.0270752 | − | 0.00123995i | ||||
\(999\) | −8.83828 | −0.279631 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 588.2.x.b.55.6 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.a.55.22 | ✓ | 168 | ||
49.41 | odd | 14 | 588.2.x.a.139.22 | yes | 168 | ||
196.139 | even | 14 | inner | 588.2.x.b.139.6 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.22 | ✓ | 168 | 4.3 | odd | 2 | ||
588.2.x.a.139.22 | yes | 168 | 49.41 | odd | 14 | ||
588.2.x.b.55.6 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.139.6 | yes | 168 | 196.139 | even | 14 | inner |