Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,2,Mod(21,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.l (of order \(4\), degree \(2\), 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: | \(0.638803216170\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 4 x^{14} + 7 x^{12} - 8 x^{11} - 28 x^{10} + 28 x^{9} + 17 x^{8} + 56 x^{7} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 61.8 | ||
Root | \(1.38652 + 0.278517i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 80.61 |
Dual form | 80.2.l.a.21.8 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40727 | + | 0.139945i | 0.995092 | + | 0.0989564i | ||||
\(3\) | −2.32624 | − | 2.32624i | −1.34306 | − | 1.34306i | −0.893000 | − | 0.450058i | \(-0.851403\pi\) |
−0.450058 | − | 0.893000i | \(-0.648597\pi\) | |||||||
\(4\) | 1.96083 | + | 0.393883i | 0.980415 | + | 0.196941i | ||||
\(5\) | 0.707107 | − | 0.707107i | 0.316228 | − | 0.316228i | ||||
\(6\) | −2.94811 | − | 3.59920i | −1.20356 | − | 1.46937i | ||||
\(7\) | 0.982011i | 0.371165i | 0.982629 | + | 0.185583i | \(0.0594172\pi\) | ||||
−0.982629 | + | 0.185583i | \(0.940583\pi\) | |||||||
\(8\) | 2.70430 | + | 0.828709i | 0.956115 | + | 0.292993i | ||||
\(9\) | 7.82281i | 2.60760i | ||||||||
\(10\) | 1.09405 | − | 0.896135i | 0.345968 | − | 0.283383i | ||||
\(11\) | −1.62645 | + | 1.62645i | −0.490393 | + | 0.490393i | −0.908430 | − | 0.418037i | \(-0.862718\pi\) |
0.418037 | + | 0.908430i | \(0.362718\pi\) | |||||||
\(12\) | −3.64510 | − | 5.47764i | −1.05225 | − | 1.58126i | ||||
\(13\) | −0.690562 | − | 0.690562i | −0.191528 | − | 0.191528i | 0.604828 | − | 0.796356i | \(-0.293242\pi\) |
−0.796356 | + | 0.604828i | \(0.793242\pi\) | |||||||
\(14\) | −0.137428 | + | 1.38196i | −0.0367292 | + | 0.369344i | ||||
\(15\) | −3.28980 | −0.849424 | ||||||||
\(16\) | 3.68971 | + | 1.54467i | 0.922428 | + | 0.386169i | ||||
\(17\) | −2.19577 | −0.532552 | −0.266276 | − | 0.963897i | \(-0.585793\pi\) | ||||
−0.266276 | + | 0.963897i | \(0.585793\pi\) | |||||||
\(18\) | −1.09477 | + | 11.0088i | −0.258039 | + | 2.59481i | ||||
\(19\) | 1.92659 | + | 1.92659i | 0.441991 | + | 0.441991i | 0.892681 | − | 0.450690i | \(-0.148822\pi\) |
−0.450690 | + | 0.892681i | \(0.648822\pi\) | |||||||
\(20\) | 1.66503 | − | 1.10800i | 0.372313 | − | 0.247756i | ||||
\(21\) | 2.28440 | − | 2.28440i | 0.498496 | − | 0.498496i | ||||
\(22\) | −2.51647 | + | 2.06124i | −0.536513 | + | 0.439458i | ||||
\(23\) | − | 2.01442i | − | 0.420035i | −0.977698 | − | 0.210018i | \(-0.932648\pi\) | ||
0.977698 | − | 0.210018i | \(-0.0673522\pi\) | |||||||
\(24\) | −4.36308 | − | 8.21864i | −0.890610 | − | 1.67762i | ||||
\(25\) | − | 1.00000i | − | 0.200000i | ||||||
\(26\) | −0.875168 | − | 1.06845i | −0.171635 | − | 0.209540i | ||||
\(27\) | 11.2190 | − | 11.2190i | 2.15911 | − | 2.15911i | ||||
\(28\) | −0.386797 | + | 1.92556i | −0.0730978 | + | 0.363896i | ||||
\(29\) | −5.27182 | − | 5.27182i | −0.978952 | − | 0.978952i | 0.0208314 | − | 0.999783i | \(-0.493369\pi\) |
−0.999783 | + | 0.0208314i | \(0.993369\pi\) | |||||||
\(30\) | −4.62965 | − | 0.460393i | −0.845255 | − | 0.0840559i | ||||
\(31\) | 0.435286 | 0.0781797 | 0.0390898 | − | 0.999236i | \(-0.487554\pi\) | ||||
0.0390898 | + | 0.999236i | \(0.487554\pi\) | |||||||
\(32\) | 4.97626 | + | 2.69014i | 0.879687 | + | 0.475553i | ||||
\(33\) | 7.56703 | 1.31725 | ||||||||
\(34\) | −3.09004 | − | 0.307288i | −0.529938 | − | 0.0526994i | ||||
\(35\) | 0.694387 | + | 0.694387i | 0.117373 | + | 0.117373i | ||||
\(36\) | −3.08127 | + | 15.3392i | −0.513545 | + | 2.55654i | ||||
\(37\) | −5.79805 | + | 5.79805i | −0.953194 | + | 0.953194i | −0.998953 | − | 0.0457583i | \(-0.985430\pi\) |
0.0457583 | + | 0.998953i | \(0.485430\pi\) | |||||||
\(38\) | 2.44162 | + | 2.98086i | 0.396084 | + | 0.483559i | ||||
\(39\) | 3.21283i | 0.514465i | ||||||||
\(40\) | 2.49822 | − | 1.32624i | 0.395003 | − | 0.209697i | ||||
\(41\) | − | 3.93139i | − | 0.613980i | −0.951713 | − | 0.306990i | \(-0.900678\pi\) | ||
0.951713 | − | 0.306990i | \(-0.0993218\pi\) | |||||||
\(42\) | 3.53446 | − | 2.89508i | 0.545379 | − | 0.446720i | ||||
\(43\) | −0.507592 | + | 0.507592i | −0.0774071 | + | 0.0774071i | −0.744750 | − | 0.667343i | \(-0.767431\pi\) |
0.667343 | + | 0.744750i | \(0.267431\pi\) | |||||||
\(44\) | −3.82982 | + | 2.54856i | −0.577367 | + | 0.384210i | ||||
\(45\) | 5.53157 | + | 5.53157i | 0.824597 | + | 0.824597i | ||||
\(46\) | 0.281909 | − | 2.83484i | 0.0415652 | − | 0.417974i | ||||
\(47\) | −9.21960 | −1.34482 | −0.672409 | − | 0.740180i | \(-0.734740\pi\) | ||||
−0.672409 | + | 0.740180i | \(0.734740\pi\) | |||||||
\(48\) | −4.98988 | − | 12.1765i | −0.720227 | − | 1.75752i | ||||
\(49\) | 6.03565 | 0.862236 | ||||||||
\(50\) | 0.139945 | − | 1.40727i | 0.0197913 | − | 0.199018i | ||||
\(51\) | 5.10789 | + | 5.10789i | 0.715248 | + | 0.715248i | ||||
\(52\) | −1.08208 | − | 1.62608i | −0.150057 | − | 0.225496i | ||||
\(53\) | 6.29357 | − | 6.29357i | 0.864488 | − | 0.864488i | −0.127367 | − | 0.991856i | \(-0.540653\pi\) |
0.991856 | + | 0.127367i | \(0.0406527\pi\) | |||||||
\(54\) | 17.3583 | − | 14.2182i | 2.36216 | − | 1.93485i | ||||
\(55\) | 2.30015i | 0.310152i | ||||||||
\(56\) | −0.813802 | + | 2.65565i | −0.108749 | + | 0.354877i | ||||
\(57\) | − | 8.96345i | − | 1.18724i | ||||||
\(58\) | −6.68111 | − | 8.15665i | −0.877273 | − | 1.07102i | ||||
\(59\) | −5.67778 | + | 5.67778i | −0.739183 | + | 0.739183i | −0.972420 | − | 0.233237i | \(-0.925068\pi\) |
0.233237 | + | 0.972420i | \(0.425068\pi\) | |||||||
\(60\) | −6.45075 | − | 1.29580i | −0.832788 | − | 0.167287i | ||||
\(61\) | −3.60301 | − | 3.60301i | −0.461318 | − | 0.461318i | 0.437770 | − | 0.899087i | \(-0.355769\pi\) |
−0.899087 | + | 0.437770i | \(0.855769\pi\) | |||||||
\(62\) | 0.612566 | + | 0.0609163i | 0.0777959 | + | 0.00773637i | ||||
\(63\) | −7.68209 | −0.967852 | ||||||||
\(64\) | 6.62648 | + | 4.48216i | 0.828310 | + | 0.560270i | ||||
\(65\) | −0.976603 | −0.121133 | ||||||||
\(66\) | 10.6489 | + | 1.05897i | 1.31079 | + | 0.130350i | ||||
\(67\) | 4.53563 | + | 4.53563i | 0.554116 | + | 0.554116i | 0.927626 | − | 0.373510i | \(-0.121846\pi\) |
−0.373510 | + | 0.927626i | \(0.621846\pi\) | |||||||
\(68\) | −4.30553 | − | 0.864875i | −0.522122 | − | 0.104882i | ||||
\(69\) | −4.68603 | + | 4.68603i | −0.564132 | + | 0.564132i | ||||
\(70\) | 0.880015 | + | 1.07437i | 0.105182 | + | 0.128411i | ||||
\(71\) | − | 10.3984i | − | 1.23407i | −0.786937 | − | 0.617033i | \(-0.788335\pi\) | ||
0.786937 | − | 0.617033i | \(-0.211665\pi\) | |||||||
\(72\) | −6.48284 | + | 21.1552i | −0.764010 | + | 2.49317i | ||||
\(73\) | 9.24439i | 1.08197i | 0.841031 | + | 0.540987i | \(0.181949\pi\) | ||||
−0.841031 | + | 0.540987i | \(0.818051\pi\) | |||||||
\(74\) | −8.97085 | + | 7.34803i | −1.04284 | + | 0.854191i | ||||
\(75\) | −2.32624 | + | 2.32624i | −0.268611 | + | 0.268611i | ||||
\(76\) | 3.01887 | + | 4.53658i | 0.346288 | + | 0.520381i | ||||
\(77\) | −1.59719 | − | 1.59719i | −0.182017 | − | 0.182017i | ||||
\(78\) | −0.449621 | + | 4.52133i | −0.0509096 | + | 0.511940i | ||||
\(79\) | 15.4493 | 1.73818 | 0.869091 | − | 0.494653i | \(-0.164705\pi\) | ||||
0.869091 | + | 0.494653i | \(0.164705\pi\) | |||||||
\(80\) | 3.70127 | − | 1.51677i | 0.413815 | − | 0.169580i | ||||
\(81\) | −28.7280 | −3.19200 | ||||||||
\(82\) | 0.550180 | − | 5.53253i | 0.0607572 | − | 0.610966i | ||||
\(83\) | −0.683244 | − | 0.683244i | −0.0749957 | − | 0.0749957i | 0.668614 | − | 0.743610i | \(-0.266888\pi\) |
−0.743610 | + | 0.668614i | \(0.766888\pi\) | |||||||
\(84\) | 5.37910 | − | 3.57953i | 0.586908 | − | 0.390559i | ||||
\(85\) | −1.55264 | + | 1.55264i | −0.168408 | + | 0.168408i | ||||
\(86\) | −0.785356 | + | 0.643285i | −0.0846871 | + | 0.0693672i | ||||
\(87\) | 24.5271i | 2.62958i | ||||||||
\(88\) | −5.74626 | + | 3.05055i | −0.612553 | + | 0.325190i | ||||
\(89\) | − | 5.44401i | − | 0.577064i | −0.957470 | − | 0.288532i | \(-0.906833\pi\) | ||
0.957470 | − | 0.288532i | \(-0.0931672\pi\) | |||||||
\(90\) | 7.01030 | + | 8.55854i | 0.738951 | + | 0.902149i | ||||
\(91\) | 0.678140 | − | 0.678140i | 0.0710884 | − | 0.0710884i | ||||
\(92\) | 0.793445 | − | 3.94994i | 0.0827223 | − | 0.411809i | ||||
\(93\) | −1.01258 | − | 1.01258i | −0.105000 | − | 0.105000i | ||||
\(94\) | −12.9745 | − | 1.29024i | −1.33822 | − | 0.133078i | ||||
\(95\) | 2.72461 | 0.279540 | ||||||||
\(96\) | −5.31808 | − | 17.8339i | −0.542775 | − | 1.82016i | ||||
\(97\) | 5.54540 | 0.563050 | 0.281525 | − | 0.959554i | \(-0.409160\pi\) | ||||
0.281525 | + | 0.959554i | \(0.409160\pi\) | |||||||
\(98\) | 8.49381 | + | 0.844662i | 0.858004 | + | 0.0853238i | ||||
\(99\) | −12.7234 | − | 12.7234i | −1.27875 | − | 1.27875i | ||||
\(100\) | 0.393883 | − | 1.96083i | 0.0393883 | − | 0.196083i | ||||
\(101\) | −0.291294 | + | 0.291294i | −0.0289848 | + | 0.0289848i | −0.721451 | − | 0.692466i | \(-0.756524\pi\) |
0.692466 | + | 0.721451i | \(0.256524\pi\) | |||||||
\(102\) | 6.47337 | + | 7.90302i | 0.640959 | + | 0.782516i | ||||
\(103\) | − | 4.50219i | − | 0.443614i | −0.975091 | − | 0.221807i | \(-0.928805\pi\) | ||
0.975091 | − | 0.221807i | \(-0.0711955\pi\) | |||||||
\(104\) | −1.29521 | − | 2.43976i | −0.127006 | − | 0.239239i | ||||
\(105\) | − | 3.23062i | − | 0.315277i | ||||||
\(106\) | 9.73752 | − | 7.97601i | 0.945792 | − | 0.774698i | ||||
\(107\) | −6.49890 | + | 6.49890i | −0.628272 | + | 0.628272i | −0.947633 | − | 0.319361i | \(-0.896532\pi\) |
0.319361 | + | 0.947633i | \(0.396532\pi\) | |||||||
\(108\) | 26.4176 | − | 17.5796i | 2.54204 | − | 1.69160i | ||||
\(109\) | −2.51950 | − | 2.51950i | −0.241324 | − | 0.241324i | 0.576074 | − | 0.817398i | \(-0.304584\pi\) |
−0.817398 | + | 0.576074i | \(0.804584\pi\) | |||||||
\(110\) | −0.321895 | + | 3.23693i | −0.0306915 | + | 0.308629i | ||||
\(111\) | 26.9754 | 2.56039 | ||||||||
\(112\) | −1.51689 | + | 3.62334i | −0.143332 | + | 0.342373i | ||||
\(113\) | 5.38101 | 0.506203 | 0.253102 | − | 0.967440i | \(-0.418549\pi\) | ||||
0.253102 | + | 0.967440i | \(0.418549\pi\) | |||||||
\(114\) | 1.25439 | − | 12.6140i | 0.117485 | − | 1.18141i | ||||
\(115\) | −1.42441 | − | 1.42441i | −0.132827 | − | 0.132827i | ||||
\(116\) | −8.26066 | − | 12.4136i | −0.766983 | − | 1.15258i | ||||
\(117\) | 5.40214 | − | 5.40214i | 0.499428 | − | 0.499428i | ||||
\(118\) | −8.78476 | + | 7.19560i | −0.808702 | + | 0.662408i | ||||
\(119\) | − | 2.15627i | − | 0.197665i | ||||||
\(120\) | −8.89662 | − | 2.72629i | −0.812147 | − | 0.248875i | ||||
\(121\) | 5.70933i | 0.519030i | ||||||||
\(122\) | −4.56619 | − | 5.57464i | −0.413403 | − | 0.504704i | ||||
\(123\) | −9.14536 | + | 9.14536i | −0.824610 | + | 0.824610i | ||||
\(124\) | 0.853522 | + | 0.171452i | 0.0766485 | + | 0.0153968i | ||||
\(125\) | −0.707107 | − | 0.707107i | −0.0632456 | − | 0.0632456i | ||||
\(126\) | −10.8108 | − | 1.07507i | −0.963102 | − | 0.0957751i | ||||
\(127\) | 4.86578 | 0.431768 | 0.215884 | − | 0.976419i | \(-0.430737\pi\) | ||||
0.215884 | + | 0.976419i | \(0.430737\pi\) | |||||||
\(128\) | 8.69801 | + | 7.23496i | 0.768802 | + | 0.639486i | ||||
\(129\) | 2.36157 | 0.207924 | ||||||||
\(130\) | −1.37435 | − | 0.136671i | −0.120538 | − | 0.0119868i | ||||
\(131\) | 8.00581 | + | 8.00581i | 0.699471 | + | 0.699471i | 0.964296 | − | 0.264825i | \(-0.0853143\pi\) |
−0.264825 | + | 0.964296i | \(0.585314\pi\) | |||||||
\(132\) | 14.8377 | + | 2.98052i | 1.29145 | + | 0.259421i | ||||
\(133\) | −1.89194 | + | 1.89194i | −0.164052 | + | 0.164052i | ||||
\(134\) | 5.74813 | + | 7.01761i | 0.496563 | + | 0.606229i | ||||
\(135\) | − | 15.8661i | − | 1.36554i | ||||||
\(136\) | −5.93802 | − | 1.81965i | −0.509181 | − | 0.156034i | ||||
\(137\) | 13.5567i | 1.15822i | 0.815248 | + | 0.579112i | \(0.196601\pi\) | ||||
−0.815248 | + | 0.579112i | \(0.803399\pi\) | |||||||
\(138\) | −7.25031 | + | 5.93873i | −0.617187 | + | 0.505538i | ||||
\(139\) | 8.22645 | − | 8.22645i | 0.697758 | − | 0.697758i | −0.266168 | − | 0.963927i | \(-0.585758\pi\) |
0.963927 | + | 0.266168i | \(0.0857577\pi\) | |||||||
\(140\) | 1.08807 | + | 1.63508i | 0.0919585 | + | 0.138190i | ||||
\(141\) | 21.4470 | + | 21.4470i | 1.80617 | + | 1.80617i | ||||
\(142\) | 1.45521 | − | 14.6334i | 0.122119 | − | 1.22801i | ||||
\(143\) | 2.24633 | 0.187847 | ||||||||
\(144\) | −12.0837 | + | 28.8639i | −1.00697 | + | 2.40533i | ||||
\(145\) | −7.45547 | −0.619143 | ||||||||
\(146\) | −1.29371 | + | 13.0094i | −0.107068 | + | 1.07666i | ||||
\(147\) | −14.0404 | − | 14.0404i | −1.15803 | − | 1.15803i | ||||
\(148\) | −13.6528 | + | 9.08525i | −1.12225 | + | 0.746803i | ||||
\(149\) | 12.6363 | − | 12.6363i | 1.03521 | − | 1.03521i | 0.0358519 | − | 0.999357i | \(-0.488586\pi\) |
0.999357 | − | 0.0358519i | \(-0.0114144\pi\) | |||||||
\(150\) | −3.59920 | + | 2.94811i | −0.293874 | + | 0.240712i | ||||
\(151\) | − | 15.1562i | − | 1.23339i | −0.787201 | − | 0.616696i | \(-0.788471\pi\) | ||
0.787201 | − | 0.616696i | \(-0.211529\pi\) | |||||||
\(152\) | 3.61350 | + | 6.80667i | 0.293094 | + | 0.552094i | ||||
\(153\) | − | 17.1771i | − | 1.38869i | ||||||
\(154\) | −2.02416 | − | 2.47120i | −0.163112 | − | 0.199135i | ||||
\(155\) | 0.307794 | − | 0.307794i | 0.0247226 | − | 0.0247226i | ||||
\(156\) | −1.26548 | + | 6.29982i | −0.101319 | + | 0.504389i | ||||
\(157\) | −1.75816 | − | 1.75816i | −0.140316 | − | 0.140316i | 0.633460 | − | 0.773776i | \(-0.281634\pi\) |
−0.773776 | + | 0.633460i | \(0.781634\pi\) | |||||||
\(158\) | 21.7414 | + | 2.16206i | 1.72965 | + | 0.172004i | ||||
\(159\) | −29.2807 | −2.32211 | ||||||||
\(160\) | 5.42096 | − | 1.61653i | 0.428565 | − | 0.127798i | ||||
\(161\) | 1.97818 | 0.155903 | ||||||||
\(162\) | −40.4281 | − | 4.02035i | −3.17633 | − | 0.315868i | ||||
\(163\) | −13.9102 | − | 13.9102i | −1.08953 | − | 1.08953i | −0.995576 | − | 0.0939562i | \(-0.970049\pi\) |
−0.0939562 | − | 0.995576i | \(-0.529951\pi\) | |||||||
\(164\) | 1.54851 | − | 7.70879i | 0.120918 | − | 0.601955i | ||||
\(165\) | 5.35070 | − | 5.35070i | 0.416551 | − | 0.416551i | ||||
\(166\) | −0.865893 | − | 1.05713i | −0.0672063 | − | 0.0820490i | ||||
\(167\) | − | 18.8620i | − | 1.45958i | −0.683669 | − | 0.729792i | \(-0.739617\pi\) | ||
0.683669 | − | 0.729792i | \(-0.260383\pi\) | |||||||
\(168\) | 8.07079 | − | 4.28459i | 0.622675 | − | 0.330564i | ||||
\(169\) | − | 12.0462i | − | 0.926634i | ||||||
\(170\) | −2.40228 | + | 1.96771i | −0.184246 | + | 0.150916i | ||||
\(171\) | −15.0714 | + | 15.0714i | −1.15254 | + | 1.15254i | ||||
\(172\) | −1.19523 | + | 0.795370i | −0.0911357 | + | 0.0606464i | ||||
\(173\) | 16.0724 | + | 16.0724i | 1.22196 | + | 1.22196i | 0.966933 | + | 0.255031i | \(0.0820856\pi\) |
0.255031 | + | 0.966933i | \(0.417914\pi\) | |||||||
\(174\) | −3.43245 | + | 34.5162i | −0.260213 | + | 2.61667i | ||||
\(175\) | 0.982011 | 0.0742331 | ||||||||
\(176\) | −8.51346 | + | 3.48879i | −0.641726 | + | 0.262978i | ||||
\(177\) | 26.4158 | 1.98553 | ||||||||
\(178\) | 0.761865 | − | 7.66121i | 0.0571042 | − | 0.574232i | ||||
\(179\) | 16.4341 | + | 16.4341i | 1.22834 | + | 1.22834i | 0.964591 | + | 0.263749i | \(0.0849591\pi\) |
0.263749 | + | 0.964591i | \(0.415041\pi\) | |||||||
\(180\) | 8.66767 | + | 13.0252i | 0.646050 | + | 0.970845i | ||||
\(181\) | −15.4539 | + | 15.4539i | −1.14868 | + | 1.14868i | −0.161870 | + | 0.986812i | \(0.551753\pi\) |
−0.986812 | + | 0.161870i | \(0.948247\pi\) | |||||||
\(182\) | 1.04923 | − | 0.859425i | 0.0777741 | − | 0.0637048i | ||||
\(183\) | 16.7629i | 1.23915i | ||||||||
\(184\) | 1.66937 | − | 5.44760i | 0.123067 | − | 0.401602i | ||||
\(185\) | 8.19969i | 0.602853i | ||||||||
\(186\) | −1.28327 | − | 1.56668i | −0.0940940 | − | 0.114875i | ||||
\(187\) | 3.57130 | − | 3.57130i | 0.261160 | − | 0.261160i | ||||
\(188\) | −18.0781 | − | 3.63144i | −1.31848 | − | 0.264850i | ||||
\(189\) | 11.0172 | + | 11.0172i | 0.801385 | + | 0.801385i | ||||
\(190\) | 3.83427 | + | 0.381297i | 0.278168 | + | 0.0276622i | ||||
\(191\) | −14.7872 | −1.06997 | −0.534983 | − | 0.844863i | \(-0.679682\pi\) | ||||
−0.534983 | + | 0.844863i | \(0.679682\pi\) | |||||||
\(192\) | −4.98822 | − | 25.8414i | −0.359994 | − | 1.86494i | ||||
\(193\) | −11.2912 | −0.812758 | −0.406379 | − | 0.913705i | \(-0.633209\pi\) | ||||
−0.406379 | + | 0.913705i | \(0.633209\pi\) | |||||||
\(194\) | 7.80388 | + | 0.776053i | 0.560286 | + | 0.0557173i | ||||
\(195\) | 2.27182 | + | 2.27182i | 0.162688 | + | 0.162688i | ||||
\(196\) | 11.8349 | + | 2.37734i | 0.845350 | + | 0.169810i | ||||
\(197\) | −10.6152 | + | 10.6152i | −0.756302 | + | 0.756302i | −0.975647 | − | 0.219345i | \(-0.929608\pi\) |
0.219345 | + | 0.975647i | \(0.429608\pi\) | |||||||
\(198\) | −16.1247 | − | 19.6859i | −1.14593 | − | 1.39901i | ||||
\(199\) | 4.68789i | 0.332316i | 0.986099 | + | 0.166158i | \(0.0531361\pi\) | ||||
−0.986099 | + | 0.166158i | \(0.946864\pi\) | |||||||
\(200\) | 0.828709 | − | 2.70430i | 0.0585986 | − | 0.191223i | ||||
\(201\) | − | 21.1020i | − | 1.48842i | ||||||
\(202\) | −0.450695 | + | 0.369165i | −0.0317108 | + | 0.0259743i | ||||
\(203\) | 5.17698 | − | 5.17698i | 0.363353 | − | 0.363353i | ||||
\(204\) | 8.00380 | + | 12.0276i | 0.560378 | + | 0.842102i | ||||
\(205\) | −2.77991 | − | 2.77991i | −0.194157 | − | 0.194157i | ||||
\(206\) | 0.630061 | − | 6.33581i | 0.0438984 | − | 0.441437i | ||||
\(207\) | 15.7584 | 1.09529 | ||||||||
\(208\) | −1.48128 | − | 3.61467i | −0.102709 | − | 0.250632i | ||||
\(209\) | −6.26701 | −0.433498 | ||||||||
\(210\) | 0.452111 | − | 4.54637i | 0.0311986 | − | 0.313729i | ||||
\(211\) | −2.63215 | − | 2.63215i | −0.181205 | − | 0.181205i | 0.610676 | − | 0.791881i | \(-0.290898\pi\) |
−0.791881 | + | 0.610676i | \(0.790898\pi\) | |||||||
\(212\) | 14.8195 | − | 9.86169i | 1.01781 | − | 0.677304i | ||||
\(213\) | −24.1893 | + | 24.1893i | −1.65742 | + | 1.65742i | ||||
\(214\) | −10.0552 | + | 8.23623i | −0.687360 | + | 0.563017i | ||||
\(215\) | 0.717844i | 0.0489565i | ||||||||
\(216\) | 39.6370 | − | 21.0423i | 2.69695 | − | 1.43175i | ||||
\(217\) | 0.427456i | 0.0290176i | ||||||||
\(218\) | −3.19303 | − | 3.89821i | −0.216259 | − | 0.264020i | ||||
\(219\) | 21.5047 | − | 21.5047i | 1.45315 | − | 1.45315i | ||||
\(220\) | −0.905987 | + | 4.51020i | −0.0610816 | + | 0.304077i | ||||
\(221\) | 1.51632 | + | 1.51632i | 0.101998 | + | 0.101998i | ||||
\(222\) | 37.9617 | + | 3.77508i | 2.54782 | + | 0.253367i | ||||
\(223\) | 3.45644 | 0.231461 | 0.115730 | − | 0.993281i | \(-0.463079\pi\) | ||||
0.115730 | + | 0.993281i | \(0.463079\pi\) | |||||||
\(224\) | −2.64174 | + | 4.88674i | −0.176509 | + | 0.326509i | ||||
\(225\) | 7.82281 | 0.521521 | ||||||||
\(226\) | 7.57255 | + | 0.753048i | 0.503719 | + | 0.0500920i | ||||
\(227\) | −4.74550 | − | 4.74550i | −0.314970 | − | 0.314970i | 0.531862 | − | 0.846831i | \(-0.321493\pi\) |
−0.846831 | + | 0.531862i | \(0.821493\pi\) | |||||||
\(228\) | 3.53055 | − | 17.5758i | 0.233816 | − | 1.16399i | ||||
\(229\) | −13.3576 | + | 13.3576i | −0.882697 | + | 0.882697i | −0.993808 | − | 0.111111i | \(-0.964559\pi\) |
0.111111 | + | 0.993808i | \(0.464559\pi\) | |||||||
\(230\) | −1.80519 | − | 2.20387i | −0.119031 | − | 0.145319i | ||||
\(231\) | 7.43091i | 0.488918i | ||||||||
\(232\) | −9.88777 | − | 18.6254i | −0.649164 | − | 1.22282i | ||||
\(233\) | 4.82691i | 0.316222i | 0.987421 | + | 0.158111i | \(0.0505403\pi\) | ||||
−0.987421 | + | 0.158111i | \(0.949460\pi\) | |||||||
\(234\) | 8.35829 | − | 6.84628i | 0.546399 | − | 0.447555i | ||||
\(235\) | −6.51924 | + | 6.51924i | −0.425269 | + | 0.425269i | ||||
\(236\) | −13.3695 | + | 8.89678i | −0.870282 | + | 0.579131i | ||||
\(237\) | −35.9388 | − | 35.9388i | −2.33448 | − | 2.33448i | ||||
\(238\) | 0.301760 | − | 3.03446i | 0.0195602 | − | 0.196695i | ||||
\(239\) | −8.82497 | −0.570840 | −0.285420 | − | 0.958403i | \(-0.592133\pi\) | ||||
−0.285420 | + | 0.958403i | \(0.592133\pi\) | |||||||
\(240\) | −12.1384 | − | 5.08168i | −0.783533 | − | 0.328021i | ||||
\(241\) | −3.74147 | −0.241009 | −0.120504 | − | 0.992713i | \(-0.538451\pi\) | ||||
−0.120504 | + | 0.992713i | \(0.538451\pi\) | |||||||
\(242\) | −0.798995 | + | 8.03458i | −0.0513613 | + | 0.516483i | ||||
\(243\) | 33.1712 | + | 33.1712i | 2.12793 | + | 2.12793i | ||||
\(244\) | −5.64572 | − | 8.48405i | −0.361430 | − | 0.543135i | ||||
\(245\) | 4.26785 | − | 4.26785i | 0.272663 | − | 0.272663i | ||||
\(246\) | −14.1499 | + | 11.5902i | −0.902163 | + | 0.738962i | ||||
\(247\) | − | 2.66087i | − | 0.169307i | ||||||
\(248\) | 1.17714 | + | 0.360725i | 0.0747487 | + | 0.0229061i | ||||
\(249\) | 3.17878i | 0.201447i | ||||||||
\(250\) | −0.896135 | − | 1.09405i | −0.0566766 | − | 0.0691937i | ||||
\(251\) | −5.99322 | + | 5.99322i | −0.378289 | + | 0.378289i | −0.870484 | − | 0.492196i | \(-0.836194\pi\) |
0.492196 | + | 0.870484i | \(0.336194\pi\) | |||||||
\(252\) | −15.0633 | − | 3.02584i | −0.948897 | − | 0.190610i | ||||
\(253\) | 3.27635 | + | 3.27635i | 0.205982 | + | 0.205982i | ||||
\(254\) | 6.84748 | + | 0.680944i | 0.429649 | + | 0.0427262i | ||||
\(255\) | 7.22365 | 0.452362 | ||||||||
\(256\) | 11.2280 | + | 11.3988i | 0.701748 | + | 0.712426i | ||||
\(257\) | −14.7662 | −0.921091 | −0.460545 | − | 0.887636i | \(-0.652346\pi\) | ||||
−0.460545 | + | 0.887636i | \(0.652346\pi\) | |||||||
\(258\) | 3.32337 | + | 0.330490i | 0.206904 | + | 0.0205754i | ||||
\(259\) | −5.69375 | − | 5.69375i | −0.353793 | − | 0.353793i | ||||
\(260\) | −1.91495 | − | 0.384667i | −0.118760 | − | 0.0238560i | ||||
\(261\) | 41.2404 | − | 41.2404i | 2.55272 | − | 2.55272i | ||||
\(262\) | 10.1460 | + | 12.3867i | 0.626821 | + | 0.765255i | ||||
\(263\) | 6.79486i | 0.418989i | 0.977810 | + | 0.209494i | \(0.0671818\pi\) | ||||
−0.977810 | + | 0.209494i | \(0.932818\pi\) | |||||||
\(264\) | 20.4635 | + | 6.27087i | 1.25944 | + | 0.385945i | ||||
\(265\) | − | 8.90045i | − | 0.546750i | ||||||
\(266\) | −2.92724 | + | 2.39770i | −0.179480 | + | 0.147013i | ||||
\(267\) | −12.6641 | + | 12.6641i | −0.775030 | + | 0.775030i | ||||
\(268\) | 7.10710 | + | 10.6801i | 0.434135 | + | 0.652392i | ||||
\(269\) | −6.03990 | − | 6.03990i | −0.368259 | − | 0.368259i | 0.498583 | − | 0.866842i | \(-0.333854\pi\) |
−0.866842 | + | 0.498583i | \(0.833854\pi\) | |||||||
\(270\) | 2.22039 | − | 22.3279i | 0.135129 | − | 1.35884i | ||||
\(271\) | −24.6221 | −1.49568 | −0.747842 | − | 0.663877i | \(-0.768910\pi\) | ||||
−0.747842 | + | 0.663877i | \(0.768910\pi\) | |||||||
\(272\) | −8.10175 | − | 3.39175i | −0.491241 | − | 0.205655i | ||||
\(273\) | −3.15504 | −0.190952 | ||||||||
\(274\) | −1.89719 | + | 19.0779i | −0.114614 | + | 1.15254i | ||||
\(275\) | 1.62645 | + | 1.62645i | 0.0980785 | + | 0.0980785i | ||||
\(276\) | −11.0343 | + | 7.34276i | −0.664184 | + | 0.441982i | ||||
\(277\) | 9.98018 | − | 9.98018i | 0.599651 | − | 0.599651i | −0.340569 | − | 0.940220i | \(-0.610620\pi\) |
0.940220 | + | 0.340569i | \(0.110620\pi\) | |||||||
\(278\) | 12.7281 | − | 10.4256i | 0.763381 | − | 0.625286i | ||||
\(279\) | 3.40516i | 0.203862i | ||||||||
\(280\) | 1.30239 | + | 2.45327i | 0.0778324 | + | 0.146611i | ||||
\(281\) | 14.4611i | 0.862675i | 0.902191 | + | 0.431337i | \(0.141958\pi\) | ||||
−0.902191 | + | 0.431337i | \(0.858042\pi\) | |||||||
\(282\) | 27.1804 | + | 33.1832i | 1.61857 | + | 1.97603i | ||||
\(283\) | 20.0783 | − | 20.0783i | 1.19353 | − | 1.19353i | 0.217462 | − | 0.976069i | \(-0.430222\pi\) |
0.976069 | − | 0.217462i | \(-0.0697777\pi\) | |||||||
\(284\) | 4.09576 | − | 20.3895i | 0.243039 | − | 1.20990i | ||||
\(285\) | −6.33812 | − | 6.33812i | −0.375438 | − | 0.375438i | ||||
\(286\) | 3.16120 | + | 0.314363i | 0.186925 | + | 0.0185887i | ||||
\(287\) | 3.86067 | 0.227888 | ||||||||
\(288\) | −21.0444 | + | 38.9284i | −1.24006 | + | 2.29388i | ||||
\(289\) | −12.1786 | −0.716388 | ||||||||
\(290\) | −10.4919 | − | 1.04336i | −0.616104 | − | 0.0612682i | ||||
\(291\) | −12.8999 | − | 12.8999i | −0.756208 | − | 0.756208i | ||||
\(292\) | −3.64121 | + | 18.1267i | −0.213085 | + | 1.06078i | ||||
\(293\) | 15.4038 | − | 15.4038i | 0.899899 | − | 0.899899i | −0.0955279 | − | 0.995427i | \(-0.530454\pi\) |
0.995427 | + | 0.0955279i | \(0.0304539\pi\) | |||||||
\(294\) | −17.7938 | − | 21.7236i | −1.03775 | − | 1.26694i | ||||
\(295\) | 8.02959i | 0.467501i | ||||||||
\(296\) | −20.4846 | + | 10.8748i | −1.19064 | + | 0.632084i | ||||
\(297\) | 36.4944i | 2.11762i | ||||||||
\(298\) | 19.5512 | − | 16.0144i | 1.13257 | − | 0.927687i | ||||
\(299\) | −1.39108 | + | 1.39108i | −0.0804484 | + | 0.0804484i | ||||
\(300\) | −5.47764 | + | 3.64510i | −0.316251 | + | 0.210450i | ||||
\(301\) | −0.498461 | − | 0.498461i | −0.0287308 | − | 0.0287308i | ||||
\(302\) | 2.12104 | − | 21.3289i | 0.122052 | − | 1.22734i | ||||
\(303\) | 1.35524 | 0.0778566 | ||||||||
\(304\) | 4.13262 | + | 10.0845i | 0.237022 | + | 0.578388i | ||||
\(305\) | −5.09542 | −0.291763 | ||||||||
\(306\) | 2.40385 | − | 24.1728i | 0.137419 | − | 1.38187i | ||||
\(307\) | 9.12398 | + | 9.12398i | 0.520733 | + | 0.520733i | 0.917793 | − | 0.397060i | \(-0.129969\pi\) |
−0.397060 | + | 0.917793i | \(0.629969\pi\) | |||||||
\(308\) | −2.50271 | − | 3.76092i | −0.142605 | − | 0.214299i | ||||
\(309\) | −10.4732 | + | 10.4732i | −0.595799 | + | 0.595799i | ||||
\(310\) | 0.476224 | − | 0.390075i | 0.0270477 | − | 0.0221548i | ||||
\(311\) | 0.642911i | 0.0364561i | 0.999834 | + | 0.0182281i | \(0.00580249\pi\) | ||||
−0.999834 | + | 0.0182281i | \(0.994198\pi\) | |||||||
\(312\) | −2.66250 | + | 8.68846i | −0.150735 | + | 0.491887i | ||||
\(313\) | 21.3775i | 1.20833i | 0.796860 | + | 0.604164i | \(0.206493\pi\) | ||||
−0.796860 | + | 0.604164i | \(0.793507\pi\) | |||||||
\(314\) | −2.22816 | − | 2.72025i | −0.125742 | − | 0.153513i | ||||
\(315\) | −5.43206 | + | 5.43206i | −0.306062 | + | 0.306062i | ||||
\(316\) | 30.2935 | + | 6.08521i | 1.70414 | + | 0.342320i | ||||
\(317\) | 8.66200 | + | 8.66200i | 0.486507 | + | 0.486507i | 0.907202 | − | 0.420695i | \(-0.138214\pi\) |
−0.420695 | + | 0.907202i | \(0.638214\pi\) | |||||||
\(318\) | −41.2060 | − | 4.09771i | −2.31072 | − | 0.229788i | ||||
\(319\) | 17.1487 | 0.960141 | ||||||||
\(320\) | 7.85499 | − | 1.51627i | 0.439108 | − | 0.0847618i | ||||
\(321\) | 30.2360 | 1.68761 | ||||||||
\(322\) | 2.78384 | + | 0.276838i | 0.155137 | + | 0.0154276i | ||||
\(323\) | −4.23035 | − | 4.23035i | −0.235383 | − | 0.235383i | ||||
\(324\) | −56.3307 | − | 11.3155i | −3.12948 | − | 0.628636i | ||||
\(325\) | −0.690562 | + | 0.690562i | −0.0383055 | + | 0.0383055i | ||||
\(326\) | −17.6288 | − | 21.5221i | −0.976369 | − | 1.19200i | ||||
\(327\) | 11.7219i | 0.648224i | ||||||||
\(328\) | 3.25798 | − | 10.6317i | 0.179892 | − | 0.587035i | ||||
\(329\) | − | 9.05375i | − | 0.499150i | ||||||
\(330\) | 8.27869 | − | 6.78108i | 0.455727 | − | 0.373286i | ||||
\(331\) | −8.43941 | + | 8.43941i | −0.463872 | + | 0.463872i | −0.899922 | − | 0.436050i | \(-0.856377\pi\) |
0.436050 | + | 0.899922i | \(0.356377\pi\) | |||||||
\(332\) | −1.07061 | − | 1.60884i | −0.0587572 | − | 0.0882967i | ||||
\(333\) | −45.3571 | − | 45.3571i | −2.48555 | − | 2.48555i | ||||
\(334\) | 2.63965 | − | 26.5440i | 0.144435 | − | 1.45242i | ||||
\(335\) | 6.41435 | 0.350454 | ||||||||
\(336\) | 11.9574 | − | 4.90012i | 0.652330 | − | 0.267323i | ||||
\(337\) | 30.7047 | 1.67259 | 0.836295 | − | 0.548280i | \(-0.184717\pi\) | ||||
0.836295 | + | 0.548280i | \(0.184717\pi\) | |||||||
\(338\) | 1.68582 | − | 16.9523i | 0.0916964 | − | 0.922086i | ||||
\(339\) | −12.5175 | − | 12.5175i | −0.679860 | − | 0.679860i | ||||
\(340\) | −3.65603 | + | 2.43291i | −0.198276 | + | 0.131943i | ||||
\(341\) | −0.707970 | + | 0.707970i | −0.0383387 | + | 0.0383387i | ||||
\(342\) | −23.3187 | + | 19.1004i | −1.26093 | + | 1.03283i | ||||
\(343\) | 12.8012i | 0.691197i | ||||||||
\(344\) | −1.79333 | + | 0.952035i | −0.0966898 | + | 0.0513303i | ||||
\(345\) | 6.62705i | 0.356788i | ||||||||
\(346\) | 20.3690 | + | 24.8675i | 1.09504 | + | 1.33689i | ||||
\(347\) | 13.6418 | − | 13.6418i | 0.732329 | − | 0.732329i | −0.238752 | − | 0.971081i | \(-0.576738\pi\) |
0.971081 | + | 0.238752i | \(0.0767383\pi\) | |||||||
\(348\) | −9.66078 | + | 48.0934i | −0.517872 | + | 2.57808i | ||||
\(349\) | 9.97321 | + | 9.97321i | 0.533854 | + | 0.533854i | 0.921717 | − | 0.387863i | \(-0.126787\pi\) |
−0.387863 | + | 0.921717i | \(0.626787\pi\) | |||||||
\(350\) | 1.38196 | + | 0.137428i | 0.0738687 | + | 0.00734583i | ||||
\(351\) | −15.4949 | −0.827056 | ||||||||
\(352\) | −12.4690 | + | 3.71826i | −0.664600 | + | 0.198184i | ||||
\(353\) | −26.7843 | −1.42559 | −0.712793 | − | 0.701374i | \(-0.752570\pi\) | ||||
−0.712793 | + | 0.701374i | \(0.752570\pi\) | |||||||
\(354\) | 37.1742 | + | 3.69677i | 1.97579 | + | 0.196481i | ||||
\(355\) | −7.35280 | − | 7.35280i | −0.390246 | − | 0.390246i | ||||
\(356\) | 2.14430 | − | 10.6748i | 0.113648 | − | 0.565763i | ||||
\(357\) | −5.01601 | + | 5.01601i | −0.265475 | + | 0.265475i | ||||
\(358\) | 20.8273 | + | 25.4271i | 1.10076 | + | 1.34386i | ||||
\(359\) | 19.1190i | 1.00906i | 0.863393 | + | 0.504532i | \(0.168335\pi\) | ||||
−0.863393 | + | 0.504532i | \(0.831665\pi\) | |||||||
\(360\) | 10.3750 | + | 19.5431i | 0.546808 | + | 1.03001i | ||||
\(361\) | − | 11.5765i | − | 0.609288i | ||||||
\(362\) | −23.9106 | + | 19.5852i | −1.25671 | + | 1.02937i | ||||
\(363\) | 13.2813 | − | 13.2813i | 0.697087 | − | 0.697087i | ||||
\(364\) | 1.59683 | − | 1.06261i | 0.0836964 | − | 0.0556959i | ||||
\(365\) | 6.53677 | + | 6.53677i | 0.342150 | + | 0.342150i | ||||
\(366\) | −2.34590 | + | 23.5900i | −0.122622 | + | 1.23307i | ||||
\(367\) | 4.24385 | 0.221527 | 0.110764 | − | 0.993847i | \(-0.464670\pi\) | ||||
0.110764 | + | 0.993847i | \(0.464670\pi\) | |||||||
\(368\) | 3.11162 | − | 7.43263i | 0.162204 | − | 0.387453i | ||||
\(369\) | 30.7545 | 1.60102 | ||||||||
\(370\) | −1.14751 | + | 11.5392i | −0.0596561 | + | 0.599894i | ||||
\(371\) | 6.18035 | + | 6.18035i | 0.320868 | + | 0.320868i | ||||
\(372\) | −1.58666 | − | 2.38434i | −0.0822646 | − | 0.123622i | ||||
\(373\) | 23.9514 | − | 23.9514i | 1.24016 | − | 1.24016i | 0.280221 | − | 0.959935i | \(-0.409592\pi\) |
0.959935 | − | 0.280221i | \(-0.0904078\pi\) | |||||||
\(374\) | 5.52558 | − | 4.52601i | 0.285721 | − | 0.234034i | ||||
\(375\) | 3.28980i | 0.169885i | ||||||||
\(376\) | −24.9326 | − | 7.64037i | −1.28580 | − | 0.394022i | ||||
\(377\) | 7.28104i | 0.374992i | ||||||||
\(378\) | 13.9624 | + | 17.0460i | 0.718149 | + | 0.876754i | ||||
\(379\) | −7.45685 | + | 7.45685i | −0.383033 | + | 0.383033i | −0.872194 | − | 0.489161i | \(-0.837303\pi\) |
0.489161 | + | 0.872194i | \(0.337303\pi\) | |||||||
\(380\) | 5.34251 | + | 1.07318i | 0.274065 | + | 0.0550529i | ||||
\(381\) | −11.3190 | − | 11.3190i | −0.579890 | − | 0.579890i | ||||
\(382\) | −20.8097 | − | 2.06941i | −1.06472 | − | 0.105880i | ||||
\(383\) | 5.19667 | 0.265538 | 0.132769 | − | 0.991147i | \(-0.457613\pi\) | ||||
0.132769 | + | 0.991147i | \(0.457613\pi\) | |||||||
\(384\) | −3.40340 | − | 37.0640i | −0.173679 | − | 1.89141i | ||||
\(385\) | −2.25877 | −0.115117 | ||||||||
\(386\) | −15.8898 | − | 1.58015i | −0.808768 | − | 0.0804275i | ||||
\(387\) | −3.97080 | − | 3.97080i | −0.201847 | − | 0.201847i | ||||
\(388\) | 10.8736 | + | 2.18424i | 0.552022 | + | 0.110888i | ||||
\(389\) | 10.3846 | − | 10.3846i | 0.526522 | − | 0.526522i | −0.393011 | − | 0.919534i | \(-0.628567\pi\) |
0.919534 | + | 0.393011i | \(0.128567\pi\) | |||||||
\(390\) | 2.87913 | + | 3.51499i | 0.145791 | + | 0.177989i | ||||
\(391\) | 4.42320i | 0.223691i | ||||||||
\(392\) | 16.3222 | + | 5.00180i | 0.824397 | + | 0.252629i | ||||
\(393\) | − | 37.2469i | − | 1.87886i | ||||||
\(394\) | −16.4240 | + | 13.4529i | −0.827431 | + | 0.677749i | ||||
\(395\) | 10.9243 | − | 10.9243i | 0.549661 | − | 0.549661i | ||||
\(396\) | −19.9369 | − | 29.9600i | −1.00187 | − | 1.50554i | ||||
\(397\) | 9.93104 | + | 9.93104i | 0.498425 | + | 0.498425i | 0.910947 | − | 0.412523i | \(-0.135352\pi\) |
−0.412523 | + | 0.910947i | \(0.635352\pi\) | |||||||
\(398\) | −0.656048 | + | 6.59714i | −0.0328847 | + | 0.330684i | ||||
\(399\) | 8.80221 | 0.440662 | ||||||||
\(400\) | 1.54467 | − | 3.68971i | 0.0772337 | − | 0.184486i | ||||
\(401\) | 9.51392 | 0.475102 | 0.237551 | − | 0.971375i | \(-0.423655\pi\) | ||||
0.237551 | + | 0.971375i | \(0.423655\pi\) | |||||||
\(402\) | 2.95312 | − | 29.6962i | 0.147288 | − | 1.48111i | ||||
\(403\) | −0.300592 | − | 0.300592i | −0.0149736 | − | 0.0149736i | ||||
\(404\) | −0.685914 | + | 0.456442i | −0.0341255 | + | 0.0227089i | ||||
\(405\) | −20.3138 | + | 20.3138i | −1.00940 | + | 1.00940i | ||||
\(406\) | 8.00992 | − | 6.56093i | 0.397525 | − | 0.325613i | ||||
\(407\) | − | 18.8605i | − | 0.934879i | ||||||
\(408\) | 9.58031 | + | 18.0462i | 0.474296 | + | 0.893421i | ||||
\(409\) | − | 4.81799i | − | 0.238234i | −0.992880 | − | 0.119117i | \(-0.961994\pi\) | ||
0.992880 | − | 0.119117i | \(-0.0380064\pi\) | |||||||
\(410\) | −3.52306 | − | 4.30113i | −0.173991 | − | 0.212418i | ||||
\(411\) | 31.5361 | − | 31.5361i | 1.55556 | − | 1.55556i | ||||
\(412\) | 1.77333 | − | 8.82803i | 0.0873659 | − | 0.434926i | ||||
\(413\) | −5.57564 | − | 5.57564i | −0.274359 | − | 0.274359i | ||||
\(414\) | 22.1764 | + | 2.20532i | 1.08991 | + | 0.108386i | ||||
\(415\) | −0.966253 | −0.0474315 | ||||||||
\(416\) | −1.57871 | − | 5.29413i | −0.0774027 | − | 0.259566i | ||||
\(417\) | −38.2734 | −1.87426 | ||||||||
\(418\) | −8.81939 | − | 0.877039i | −0.431370 | − | 0.0428974i | ||||
\(419\) | 21.4380 | + | 21.4380i | 1.04731 | + | 1.04731i | 0.998824 | + | 0.0484914i | \(0.0154413\pi\) |
0.0484914 | + | 0.998824i | \(0.484559\pi\) | |||||||
\(420\) | 1.27249 | − | 6.33471i | 0.0620910 | − | 0.309102i | ||||
\(421\) | −4.80145 | + | 4.80145i | −0.234008 | + | 0.234008i | −0.814363 | − | 0.580355i | \(-0.802914\pi\) |
0.580355 | + | 0.814363i | \(0.302914\pi\) | |||||||
\(422\) | −3.33579 | − | 4.07251i | −0.162384 | − | 0.198246i | ||||
\(423\) | − | 72.1232i | − | 3.50675i | ||||||
\(424\) | 22.2352 | − | 11.8042i | 1.07984 | − | 0.573261i | ||||
\(425\) | 2.19577i | 0.106510i | ||||||||
\(426\) | −37.4261 | + | 30.6557i | −1.81330 | + | 1.48527i | ||||
\(427\) | 3.53819 | − | 3.53819i | 0.171225 | − | 0.171225i | ||||
\(428\) | −15.3030 | + | 10.1834i | −0.739700 | + | 0.492235i | ||||
\(429\) | −5.22551 | − | 5.22551i | −0.252290 | − | 0.252290i | ||||
\(430\) | −0.100459 | + | 1.01020i | −0.00484456 | + | 0.0487162i | ||||
\(431\) | 13.2369 | 0.637597 | 0.318799 | − | 0.947822i | \(-0.396721\pi\) | ||||
0.318799 | + | 0.947822i | \(0.396721\pi\) | |||||||
\(432\) | 58.7248 | − | 24.0653i | 2.82540 | − | 1.15784i | ||||
\(433\) | −1.50709 | −0.0724259 | −0.0362129 | − | 0.999344i | \(-0.511529\pi\) | ||||
−0.0362129 | + | 0.999344i | \(0.511529\pi\) | |||||||
\(434\) | −0.0598204 | + | 0.601546i | −0.00287147 | + | 0.0288751i | ||||
\(435\) | 17.3432 | + | 17.3432i | 0.831545 | + | 0.831545i | ||||
\(436\) | −3.94792 | − | 5.93270i | −0.189071 | − | 0.284125i | ||||
\(437\) | 3.88097 | − | 3.88097i | 0.185652 | − | 0.185652i | ||||
\(438\) | 33.2725 | − | 27.2535i | 1.58982 | − | 1.30222i | ||||
\(439\) | 10.3092i | 0.492033i | 0.969266 | + | 0.246016i | \(0.0791217\pi\) | ||||
−0.969266 | + | 0.246016i | \(0.920878\pi\) | |||||||
\(440\) | −1.90615 | + | 6.22028i | −0.0908722 | + | 0.296540i | ||||
\(441\) | 47.2158i | 2.24837i | ||||||||
\(442\) | 1.92167 | + | 2.34607i | 0.0914044 | + | 0.111591i | ||||
\(443\) | −14.2651 | + | 14.2651i | −0.677755 | + | 0.677755i | −0.959492 | − | 0.281736i | \(-0.909090\pi\) |
0.281736 | + | 0.959492i | \(0.409090\pi\) | |||||||
\(444\) | 52.8941 | + | 10.6251i | 2.51024 | + | 0.504246i | ||||
\(445\) | −3.84950 | − | 3.84950i | −0.182484 | − | 0.182484i | ||||
\(446\) | 4.86416 | + | 0.483713i | 0.230324 | + | 0.0229045i | ||||
\(447\) | −58.7904 | −2.78069 | ||||||||
\(448\) | −4.40153 | + | 6.50728i | −0.207953 | + | 0.307440i | ||||
\(449\) | −19.5711 | −0.923618 | −0.461809 | − | 0.886979i | \(-0.652799\pi\) | ||||
−0.461809 | + | 0.886979i | \(0.652799\pi\) | |||||||
\(450\) | 11.0088 | + | 1.09477i | 0.518961 | + | 0.0516078i | ||||
\(451\) | 6.39420 | + | 6.39420i | 0.301091 | + | 0.301091i | ||||
\(452\) | 10.5513 | + | 2.11949i | 0.496289 | + | 0.0996923i | ||||
\(453\) | −35.2569 | + | 35.2569i | −1.65652 | + | 1.65652i | ||||
\(454\) | −6.01410 | − | 7.34232i | −0.282256 | − | 0.344592i | ||||
\(455\) | − | 0.959035i | − | 0.0449602i | ||||||
\(456\) | 7.42810 | − | 24.2399i | 0.347852 | − | 1.13514i | ||||
\(457\) | − | 39.0185i | − | 1.82521i | −0.408845 | − | 0.912604i | \(-0.634068\pi\) | ||
0.408845 | − | 0.912604i | \(-0.365932\pi\) | |||||||
\(458\) | −20.6672 | + | 16.9285i | −0.965713 | + | 0.791016i | ||||
\(459\) | −24.6344 | + | 24.6344i | −1.14984 | + | 1.14984i | ||||
\(460\) | −2.23198 | − | 3.35408i | −0.104066 | − | 0.156385i | ||||
\(461\) | 19.6941 | + | 19.6941i | 0.917245 | + | 0.917245i | 0.996828 | − | 0.0795833i | \(-0.0253590\pi\) |
−0.0795833 | + | 0.996828i | \(0.525359\pi\) | |||||||
\(462\) | −1.03992 | + | 10.4573i | −0.0483815 | + | 0.486518i | ||||
\(463\) | −14.9979 | −0.697009 | −0.348505 | − | 0.937307i | \(-0.613310\pi\) | ||||
−0.348505 | + | 0.937307i | \(0.613310\pi\) | |||||||
\(464\) | −11.3082 | − | 27.5947i | −0.524972 | − | 1.28105i | ||||
\(465\) | −1.43201 | −0.0664077 | ||||||||
\(466\) | −0.675505 | + | 6.79278i | −0.0312921 | + | 0.314670i | ||||
\(467\) | 4.88870 | + | 4.88870i | 0.226222 | + | 0.226222i | 0.811112 | − | 0.584890i | \(-0.198862\pi\) |
−0.584890 | + | 0.811112i | \(0.698862\pi\) | |||||||
\(468\) | 12.7205 | − | 8.46488i | 0.588005 | − | 0.391289i | ||||
\(469\) | −4.45404 | + | 4.45404i | −0.205669 | + | 0.205669i | ||||
\(470\) | −10.0867 | + | 8.26201i | −0.465264 | + | 0.381098i | ||||
\(471\) | 8.17980i | 0.376905i | ||||||||
\(472\) | −20.0596 | + | 10.6492i | −0.923320 | + | 0.490168i | ||||
\(473\) | − | 1.65114i | − | 0.0759197i | ||||||
\(474\) | −45.5462 | − | 55.6052i | −2.09201 | − | 2.55403i | ||||
\(475\) | 1.92659 | − | 1.92659i | 0.0883982 | − | 0.0883982i | ||||
\(476\) | 0.849317 | − | 4.22808i | 0.0389284 | − | 0.193794i | ||||
\(477\) | 49.2334 | + | 49.2334i | 2.25424 | + | 2.25424i | ||||
\(478\) | −12.4191 | − | 1.23501i | −0.568038 | − | 0.0564883i | ||||
\(479\) | −27.3381 | −1.24911 | −0.624555 | − | 0.780981i | \(-0.714720\pi\) | ||||
−0.624555 | + | 0.780981i | \(0.714720\pi\) | |||||||
\(480\) | −16.3709 | − | 8.85002i | −0.747227 | − | 0.403946i | ||||
\(481\) | 8.00784 | 0.365126 | ||||||||
\(482\) | −5.26526 | − | 0.523601i | −0.239826 | − | 0.0238494i | ||||
\(483\) | −4.60173 | − | 4.60173i | −0.209386 | − | 0.209386i | ||||
\(484\) | −2.24881 | + | 11.1950i | −0.102218 | + | 0.508865i | ||||
\(485\) | 3.92119 | − | 3.92119i | 0.178052 | − | 0.178052i | ||||
\(486\) | 42.0387 | + | 51.3230i | 1.90691 | + | 2.32806i | ||||
\(487\) | 35.4769i | 1.60761i | 0.594892 | + | 0.803806i | \(0.297195\pi\) | ||||
−0.594892 | + | 0.803806i | \(0.702805\pi\) | |||||||
\(488\) | −6.75777 | − | 12.7295i | −0.305910 | − | 0.576235i | ||||
\(489\) | 64.7171i | 2.92661i | ||||||||
\(490\) | 6.60330 | − | 5.40876i | 0.298307 | − | 0.244343i | ||||
\(491\) | 3.55614 | − | 3.55614i | 0.160486 | − | 0.160486i | −0.622296 | − | 0.782782i | \(-0.713800\pi\) |
0.782782 | + | 0.622296i | \(0.213800\pi\) | |||||||
\(492\) | −21.5347 | + | 14.3303i | −0.970860 | + | 0.646060i | ||||
\(493\) | 11.5757 | + | 11.5757i | 0.521343 | + | 0.521343i | ||||
\(494\) | 0.372376 | − | 3.74456i | 0.0167540 | − | 0.168476i | ||||
\(495\) | −17.9936 | −0.808753 | ||||||||
\(496\) | 1.60608 | + | 0.672375i | 0.0721151 | + | 0.0301905i | ||||
\(497\) | 10.2114 | 0.458042 | ||||||||
\(498\) | −0.444856 | + | 4.47341i | −0.0199345 | + | 0.200458i | ||||
\(499\) | −17.6521 | − | 17.6521i | −0.790218 | − | 0.790218i | 0.191312 | − | 0.981529i | \(-0.438726\pi\) |
−0.981529 | + | 0.191312i | \(0.938726\pi\) | |||||||
\(500\) | −1.10800 | − | 1.66503i | −0.0495512 | − | 0.0744626i | ||||
\(501\) | −43.8776 | + | 43.8776i | −1.96031 | + | 1.96031i | ||||
\(502\) | −9.27281 | + | 7.59537i | −0.413866 | + | 0.338998i | ||||
\(503\) | 31.8567i | 1.42042i | 0.703990 | + | 0.710210i | \(0.251400\pi\) | ||||
−0.703990 | + | 0.710210i | \(0.748600\pi\) | |||||||
\(504\) | −20.7747 | − | 6.36622i | −0.925378 | − | 0.283574i | ||||
\(505\) | 0.411952i | 0.0183316i | ||||||||
\(506\) | 4.15220 | + | 5.06923i | 0.184588 | + | 0.225355i | ||||
\(507\) | −28.0225 | + | 28.0225i | −1.24452 | + | 1.24452i | ||||
\(508\) | 9.54097 | + | 1.91655i | 0.423312 | + | 0.0850330i | ||||
\(509\) | −5.61054 | − | 5.61054i | −0.248683 | − | 0.248683i | 0.571747 | − | 0.820430i | \(-0.306266\pi\) |
−0.820430 | + | 0.571747i | \(0.806266\pi\) | |||||||
\(510\) | 10.1656 | + | 1.01092i | 0.450142 | + | 0.0447641i | ||||
\(511\) | −9.07810 | −0.401591 | ||||||||
\(512\) | 14.2056 | + | 17.6125i | 0.627804 | + | 0.778371i | ||||
\(513\) | 43.2291 | 1.90861 | ||||||||
\(514\) | −20.7801 | − | 2.06646i | −0.916570 | − | 0.0911478i | ||||
\(515\) | −3.18353 | − | 3.18353i | −0.140283 | − | 0.140283i | ||||
\(516\) | 4.63063 | + | 0.930180i | 0.203852 | + | 0.0409489i | ||||
\(517\) | 14.9952 | − | 14.9952i | 0.659489 | − | 0.659489i | ||||
\(518\) | −7.21585 | − | 8.80948i | −0.317046 | − | 0.387066i | ||||
\(519\) | − | 74.7767i | − | 3.28233i | ||||||
\(520\) | −2.64103 | − | 0.809320i | −0.115817 | − | 0.0354910i | ||||
\(521\) | − | 33.1977i | − | 1.45442i | −0.686417 | − | 0.727208i | \(-0.740818\pi\) | ||
0.686417 | − | 0.727208i | \(-0.259182\pi\) | |||||||
\(522\) | 63.8079 | − | 52.2651i | 2.79280 | − | 2.28758i | ||||
\(523\) | −2.60707 | + | 2.60707i | −0.113999 | + | 0.113999i | −0.761805 | − | 0.647806i | \(-0.775687\pi\) |
0.647806 | + | 0.761805i | \(0.275687\pi\) | |||||||
\(524\) | 12.5447 | + | 18.8514i | 0.548017 | + | 0.823527i | ||||
\(525\) | −2.28440 | − | 2.28440i | −0.0996992 | − | 0.0996992i | ||||
\(526\) | −0.950909 | + | 9.56221i | −0.0414616 | + | 0.416932i | ||||
\(527\) | −0.955787 | −0.0416347 | ||||||||
\(528\) | 27.9202 | + | 11.6886i | 1.21507 | + | 0.508681i | ||||
\(529\) | 18.9421 | 0.823570 | ||||||||
\(530\) | 1.24558 | − | 12.5254i | 0.0541044 | − | 0.544067i | ||||
\(531\) | −44.4162 | − | 44.4162i | −1.92750 | − | 1.92750i | ||||
\(532\) | −4.45497 | + | 2.96457i | −0.193147 | + | 0.128530i | ||||
\(533\) | −2.71487 | + | 2.71487i | −0.117594 | + | 0.117594i | ||||
\(534\) | −19.5941 | + | 16.0496i | −0.847921 | + | 0.694532i | ||||
\(535\) | 9.19083i | 0.397354i | ||||||||
\(536\) | 8.50699 | + | 16.0244i | 0.367446 | + | 0.692150i | ||||
\(537\) | − | 76.4593i | − | 3.29946i | ||||||
\(538\) | −7.65452 | − | 9.34504i | −0.330010 | − | 0.402893i | ||||
\(539\) | −9.81668 | + | 9.81668i | −0.422834 | + | 0.422834i | ||||
\(540\) | 6.24939 | − | 31.1108i | 0.268931 | − | 1.33879i | ||||
\(541\) | −22.6839 | − | 22.6839i | −0.975257 | − | 0.975257i | 0.0244439 | − | 0.999701i | \(-0.492218\pi\) |
−0.999701 | + | 0.0244439i | \(0.992218\pi\) | |||||||
\(542\) | −34.6499 | − | 3.44574i | −1.48834 | − | 0.148007i | ||||
\(543\) | 71.8992 | 3.08549 | ||||||||
\(544\) | −10.9267 | − | 5.90691i | −0.468479 | − | 0.253257i | ||||
\(545\) | −3.56311 | −0.152627 | ||||||||
\(546\) | −4.44000 | − | 0.441533i | −0.190014 | − | 0.0188959i | ||||
\(547\) | −3.02284 | − | 3.02284i | −0.129248 | − | 0.129248i | 0.639524 | − | 0.768771i | \(-0.279132\pi\) |
−0.768771 | + | 0.639524i | \(0.779132\pi\) | |||||||
\(548\) | −5.33974 | + | 26.5823i | −0.228102 | + | 1.13554i | ||||
\(549\) | 28.1857 | − | 28.1857i | 1.20293 | − | 1.20293i | ||||
\(550\) | 2.06124 | + | 2.51647i | 0.0878916 | + | 0.107303i | ||||
\(551\) | − | 20.3133i | − | 0.865375i | ||||||
\(552\) | −16.5558 | + | 8.78907i | −0.704661 | + | 0.374088i | ||||
\(553\) | 15.1714i | 0.645153i | ||||||||
\(554\) | 15.4415 | − | 12.6481i | 0.656047 | − | 0.537368i | ||||
\(555\) | 19.0745 | − | 19.0745i | 0.809666 | − | 0.809666i | ||||
\(556\) | 19.3709 | − | 12.8904i | 0.821510 | − | 0.546675i | ||||
\(557\) | 9.27495 | + | 9.27495i | 0.392992 | + | 0.392992i | 0.875753 | − | 0.482760i | \(-0.160366\pi\) |
−0.482760 | + | 0.875753i | \(0.660366\pi\) | |||||||
\(558\) | −0.476537 | + | 4.79199i | −0.0201734 | + | 0.202861i | ||||
\(559\) | 0.701048 | 0.0296512 | ||||||||
\(560\) | 1.48949 | + | 3.63469i | 0.0629423 | + | 0.153594i | ||||
\(561\) | −16.6154 | −0.701504 | ||||||||
\(562\) | −2.02376 | + | 20.3507i | −0.0853672 | + | 0.858441i | ||||
\(563\) | −20.3025 | − | 20.3025i | −0.855649 | − | 0.855649i | 0.135173 | − | 0.990822i | \(-0.456841\pi\) |
−0.990822 | + | 0.135173i | \(0.956841\pi\) | |||||||
\(564\) | 33.6064 | + | 50.5016i | 1.41508 | + | 2.12650i | ||||
\(565\) | 3.80495 | − | 3.80495i | 0.160076 | − | 0.160076i | ||||
\(566\) | 31.0655 | − | 25.4458i | 1.30578 | − | 1.06956i | ||||
\(567\) | − | 28.2112i | − | 1.18476i | ||||||
\(568\) | 8.61727 | − | 28.1205i | 0.361573 | − | 1.17991i | ||||
\(569\) | 14.3362i | 0.601005i | 0.953781 | + | 0.300503i | \(0.0971544\pi\) | ||||
−0.953781 | + | 0.300503i | \(0.902846\pi\) | |||||||
\(570\) | −8.03247 | − | 9.80645i | −0.336443 | − | 0.410747i | ||||
\(571\) | 8.54368 | − | 8.54368i | 0.357542 | − | 0.357542i | −0.505364 | − | 0.862906i | \(-0.668642\pi\) |
0.862906 | + | 0.505364i | \(0.168642\pi\) | |||||||
\(572\) | 4.40467 | + | 0.884790i | 0.184168 | + | 0.0369949i | ||||
\(573\) | 34.3987 | + | 34.3987i | 1.43703 | + | 1.43703i | ||||
\(574\) | 5.43301 | + | 0.540283i | 0.226769 | + | 0.0225510i | ||||
\(575\) | −2.01442 | −0.0840071 | ||||||||
\(576\) | −35.0631 | + | 51.8377i | −1.46096 | + | 2.15991i | ||||
\(577\) | −8.68179 | −0.361428 | −0.180714 | − | 0.983536i | \(-0.557841\pi\) | ||||
−0.180714 | + | 0.983536i | \(0.557841\pi\) | |||||||
\(578\) | −17.1386 | − | 1.70434i | −0.712872 | − | 0.0708912i | ||||
\(579\) | 26.2661 | + | 26.2661i | 1.09158 | + | 1.09158i | ||||
\(580\) | −14.6189 | − | 2.93658i | −0.607018 | − | 0.121935i | ||||
\(581\) | 0.670953 | − | 0.670953i | 0.0278358 | − | 0.0278358i | ||||
\(582\) | −16.3484 | − | 19.9590i | −0.677665 | − | 0.827328i | ||||
\(583\) | 20.4723i | 0.847877i | ||||||||
\(584\) | −7.66092 | + | 24.9996i | −0.317011 | + | 1.03449i | ||||
\(585\) | − | 7.63978i | − | 0.315866i | ||||||
\(586\) | 23.8330 | − | 19.5216i | 0.984533 | − | 0.806431i | ||||
\(587\) | 21.9042 | − | 21.9042i | 0.904082 | − | 0.904082i | −0.0917043 | − | 0.995786i | \(-0.529231\pi\) |
0.995786 | + | 0.0917043i | \(0.0292315\pi\) | |||||||
\(588\) | −22.0006 | − | 33.0611i | −0.907288 | − | 1.36342i | ||||
\(589\) | 0.838619 | + | 0.838619i | 0.0345547 | + | 0.0345547i | ||||
\(590\) | −1.12370 | + | 11.2998i | −0.0462622 | + | 0.465206i | ||||
\(591\) | 49.3871 | 2.03151 | ||||||||
\(592\) | −30.3493 | + | 12.4371i | −1.24735 | + | 0.511160i | ||||
\(593\) | −17.5142 | −0.719222 | −0.359611 | − | 0.933102i | \(-0.617091\pi\) | ||||
−0.359611 | + | 0.933102i | \(0.617091\pi\) | |||||||
\(594\) | −5.10722 | + | 51.3575i | −0.209552 | + | 2.10722i | ||||
\(595\) | −1.52471 | − | 1.52471i | −0.0625071 | − | 0.0625071i | ||||
\(596\) | 29.7549 | − | 19.8005i | 1.21881 | − | 0.811059i | ||||
\(597\) | 10.9052 | − | 10.9052i | 0.446319 | − | 0.446319i | ||||
\(598\) | −2.15231 | + | 1.76296i | −0.0880144 | + | 0.0720926i | ||||
\(599\) | 19.0276i | 0.777447i | 0.921354 | + | 0.388724i | \(0.127084\pi\) | ||||
−0.921354 | + | 0.388724i | \(0.872916\pi\) | |||||||
\(600\) | −8.21864 | + | 4.36308i | −0.335525 | + | 0.178122i | ||||
\(601\) | − | 5.52545i | − | 0.225388i | −0.993630 | − | 0.112694i | \(-0.964052\pi\) | ||
0.993630 | − | 0.112694i | \(-0.0359479\pi\) | |||||||
\(602\) | −0.631713 | − | 0.771228i | −0.0257467 | − | 0.0314329i | ||||
\(603\) | −35.4814 | + | 35.4814i | −1.44491 | + | 1.44491i | ||||
\(604\) | 5.96975 | − | 29.7187i | 0.242906 | − | 1.20924i | ||||
\(605\) | 4.03711 | + | 4.03711i | 0.164132 | + | 0.164132i | ||||
\(606\) | 1.90719 | + | 0.189660i | 0.0774744 | + | 0.00770440i | ||||
\(607\) | −12.1064 | −0.491384 | −0.245692 | − | 0.969348i | \(-0.579015\pi\) | ||||
−0.245692 | + | 0.969348i | \(0.579015\pi\) | |||||||
\(608\) | 4.40443 | + | 14.7700i | 0.178623 | + | 0.599004i | ||||
\(609\) | −24.0858 | −0.976007 | ||||||||
\(610\) | −7.17064 | − | 0.713081i | −0.290331 | − | 0.0288718i | ||||
\(611\) | 6.36671 | + | 6.36671i | 0.257570 | + | 0.257570i | ||||
\(612\) | 6.76576 | − | 33.6814i | 0.273490 | − | 1.36149i | ||||
\(613\) | 17.8073 | − | 17.8073i | 0.719230 | − | 0.719230i | −0.249218 | − | 0.968448i | \(-0.580173\pi\) |
0.968448 | + | 0.249218i | \(0.0801734\pi\) | |||||||
\(614\) | 11.5631 | + | 14.1168i | 0.466647 | + | 0.569707i | ||||
\(615\) | 12.9335i | 0.521529i | ||||||||
\(616\) | −2.99568 | − | 5.64289i | −0.120699 | − | 0.227358i | ||||
\(617\) | 1.10944i | 0.0446642i | 0.999751 | + | 0.0223321i | \(0.00710912\pi\) | ||||
−0.999751 | + | 0.0223321i | \(0.992891\pi\) | |||||||
\(618\) | −16.2043 | + | 13.2730i | −0.651833 | + | 0.533917i | ||||
\(619\) | −31.8702 | + | 31.8702i | −1.28097 | + | 1.28097i | −0.340859 | + | 0.940115i | \(0.610718\pi\) |
−0.940115 | + | 0.340859i | \(0.889282\pi\) | |||||||
\(620\) | 0.724766 | − | 0.482297i | 0.0291073 | − | 0.0193695i | ||||
\(621\) | −22.5998 | − | 22.5998i | −0.906901 | − | 0.906901i | ||||
\(622\) | −0.0899724 | + | 0.904750i | −0.00360756 | + | 0.0362772i | ||||
\(623\) | 5.34608 | 0.214186 | ||||||||
\(624\) | −4.96278 | + | 11.8544i | −0.198670 | + | 0.474557i | ||||
\(625\) | −1.00000 | −0.0400000 | ||||||||
\(626\) | −2.99168 | + | 30.0840i | −0.119572 | + | 1.20240i | ||||
\(627\) | 14.5786 | + | 14.5786i | 0.582213 | + | 0.582213i | ||||
\(628\) | −2.75494 | − | 4.13996i | −0.109934 | − | 0.165202i | ||||
\(629\) | 12.7312 | − | 12.7312i | 0.507626 | − | 0.507626i | ||||
\(630\) | −8.40458 | + | 6.88419i | −0.334846 | + | 0.274273i | ||||
\(631\) | − | 6.80064i | − | 0.270729i | −0.990796 | − | 0.135365i | \(-0.956779\pi\) | ||
0.990796 | − | 0.135365i | \(-0.0432206\pi\) | |||||||
\(632\) | 41.7795 | + | 12.8030i | 1.66190 | + | 0.509275i | ||||
\(633\) | 12.2460i | 0.486736i | ||||||||
\(634\) | 10.9776 | + | 13.4020i | 0.435976 | + | 0.532262i | ||||
\(635\) | 3.44063 | − | 3.44063i | 0.136537 | − | 0.136537i | ||||
\(636\) | −57.4146 | − | 11.5332i | −2.27664 | − | 0.457320i | ||||
\(637\) | −4.16800 | − | 4.16800i | −0.165142 | − | 0.165142i | ||||
\(638\) | 24.1328 | + | 2.39988i | 0.955429 | + | 0.0950121i | ||||
\(639\) | 81.3449 | 3.21796 | ||||||||
\(640\) | 11.2663 | − | 1.03453i | 0.445340 | − | 0.0408933i | ||||
\(641\) | 14.2566 | 0.563100 | 0.281550 | − | 0.959547i | \(-0.409151\pi\) | ||||
0.281550 | + | 0.959547i | \(0.409151\pi\) | |||||||
\(642\) | 42.5503 | + | 4.23139i | 1.67933 | + | 0.167000i | ||||
\(643\) | 14.4137 | + | 14.4137i | 0.568422 | + | 0.568422i | 0.931686 | − | 0.363264i | \(-0.118338\pi\) |
−0.363264 | + | 0.931686i | \(0.618338\pi\) | |||||||
\(644\) | 3.87888 | + | 0.779172i | 0.152849 | + | 0.0307037i | ||||
\(645\) | 1.66988 | − | 1.66988i | 0.0657514 | − | 0.0657514i | ||||
\(646\) | −5.36124 | − | 6.54528i | −0.210935 | − | 0.257520i | ||||
\(647\) | − | 20.5723i | − | 0.808782i | −0.914586 | − | 0.404391i | \(-0.867483\pi\) | ||
0.914586 | − | 0.404391i | \(-0.132517\pi\) | |||||||
\(648\) | −77.6891 | − | 23.8071i | −3.05192 | − | 0.935233i | ||||
\(649\) | − | 18.4692i | − | 0.724980i | ||||||
\(650\) | −1.06845 | + | 0.875168i | −0.0419081 | + | 0.0343269i | ||||
\(651\) | 0.994365 | − | 0.994365i | 0.0389723 | − | 0.0389723i | ||||
\(652\) | −21.7966 | − | 32.7546i | −0.853620 | − | 1.28277i | ||||
\(653\) | −9.79946 | − | 9.79946i | −0.383482 | − | 0.383482i | 0.488873 | − | 0.872355i | \(-0.337408\pi\) |
−0.872355 | + | 0.488873i | \(0.837408\pi\) | |||||||
\(654\) | −1.64043 | + | 16.4960i | −0.0641459 | + | 0.645043i | ||||
\(655\) | 11.3219 | 0.442384 | ||||||||
\(656\) | 6.07271 | − | 14.5057i | 0.237100 | − | 0.566352i | ||||
\(657\) | −72.3172 | −2.82136 | ||||||||
\(658\) | 1.26703 | − | 12.7411i | 0.0493940 | − | 0.496700i | ||||
\(659\) | −8.70669 | − | 8.70669i | −0.339165 | − | 0.339165i | 0.516888 | − | 0.856053i | \(-0.327090\pi\) |
−0.856053 | + | 0.516888i | \(0.827090\pi\) | |||||||
\(660\) | 12.5994 | − | 8.38426i | 0.490429 | − | 0.326357i | ||||
\(661\) | 19.7899 | − | 19.7899i | 0.769737 | − | 0.769737i | −0.208323 | − | 0.978060i | \(-0.566801\pi\) |
0.978060 | + | 0.208323i | \(0.0668006\pi\) | |||||||
\(662\) | −13.0576 | + | 10.6955i | −0.507498 | + | 0.415692i | ||||
\(663\) | − | 7.05464i | − | 0.273979i | ||||||
\(664\) | −1.28149 | − | 2.41391i | −0.0497313 | − | 0.0936778i | ||||
\(665\) | 2.67560i | 0.103755i | ||||||||
\(666\) | −57.4823 | − | 70.1773i | −2.22739 | − | 2.71932i | ||||
\(667\) | −10.6196 | + | 10.6196i | −0.411194 | + | 0.411194i | ||||
\(668\) | 7.42941 | − | 36.9852i | 0.287453 | − | 1.43100i | ||||
\(669\) | −8.04053 | − | 8.04053i | −0.310865 | − | 0.310865i | ||||
\(670\) | 9.02674 | + | 0.897659i | 0.348733 | + | 0.0346796i | ||||
\(671\) | 11.7202 | 0.452454 | ||||||||
\(672\) | 17.5131 | − | 5.22242i | 0.675582 | − | 0.201459i | ||||
\(673\) | −14.0829 | −0.542857 | −0.271429 | − | 0.962459i | \(-0.587496\pi\) | ||||
−0.271429 | + | 0.962459i | \(0.587496\pi\) | |||||||
\(674\) | 43.2098 | + | 4.29698i | 1.66438 | + | 0.165513i | ||||
\(675\) | −11.2190 | − | 11.2190i | −0.431821 | − | 0.431821i | ||||
\(676\) | 4.74481 | − | 23.6206i | 0.182493 | − | 0.908487i | ||||
\(677\) | −29.8166 | + | 29.8166i | −1.14594 | + | 1.14594i | −0.158601 | + | 0.987343i | \(0.550698\pi\) |
−0.987343 | + | 0.158601i | \(0.949302\pi\) | |||||||
\(678\) | −15.8638 | − | 19.3674i | −0.609247 | − | 0.743799i | ||||
\(679\) | 5.44564i | 0.208984i | ||||||||
\(680\) | −5.48550 | + | 2.91212i | −0.210359 | + | 0.111675i | ||||
\(681\) | 22.0784i | 0.846045i | ||||||||
\(682\) | −1.09538 | + | 0.897229i | −0.0419444 | + | 0.0343567i | ||||
\(683\) | −12.0646 | + | 12.0646i | −0.461641 | + | 0.461641i | −0.899193 | − | 0.437552i | \(-0.855845\pi\) |
0.437552 | + | 0.899193i | \(0.355845\pi\) | |||||||
\(684\) | −35.4888 | + | 23.6161i | −1.35695 | + | 0.902983i | ||||
\(685\) | 9.58601 | + | 9.58601i | 0.366263 | + | 0.366263i | ||||
\(686\) | −1.79146 | + | 18.0147i | −0.0683984 | + | 0.687805i | ||||
\(687\) | 62.1462 | 2.37102 | ||||||||
\(688\) | −2.65693 | + | 1.08880i | −0.101295 | + | 0.0415103i | ||||
\(689\) | −8.69221 | −0.331147 | ||||||||
\(690\) | −0.927425 | + | 9.32606i | −0.0353065 | + | 0.355037i | ||||
\(691\) | 2.58867 | + | 2.58867i | 0.0984776 | + | 0.0984776i | 0.754629 | − | 0.656152i | \(-0.227817\pi\) |
−0.656152 | + | 0.754629i | \(0.727817\pi\) | |||||||
\(692\) | 25.1847 | + | 37.8459i | 0.957377 | + | 1.43869i | ||||
\(693\) | 12.4945 | − | 12.4945i | 0.474628 | − | 0.474628i | ||||
\(694\) | 21.1068 | − | 17.2886i | 0.801203 | − | 0.656266i | ||||
\(695\) | − | 11.6340i | − | 0.441301i | ||||||
\(696\) | −20.3258 | + | 66.3285i | −0.770447 | + | 2.51418i | ||||
\(697\) | 8.63242i | 0.326976i | ||||||||
\(698\) | 12.6393 | + | 15.4307i | 0.478405 | + | 0.584062i | ||||
\(699\) | 11.2286 | − | 11.2286i | 0.424704 | − | 0.424704i | ||||
\(700\) | 1.92556 | + | 0.386797i | 0.0727792 | + | 0.0146196i | ||||
\(701\) | −26.9943 | − | 26.9943i | −1.01956 | − | 1.01956i | −0.999805 | − | 0.0197572i | \(-0.993711\pi\) |
−0.0197572 | − | 0.999805i | \(-0.506289\pi\) | |||||||
\(702\) | −21.8055 | − | 2.16844i | −0.822997 | − | 0.0818425i | ||||
\(703\) | −22.3410 | −0.842606 | ||||||||
\(704\) | −18.0676 | + | 3.48763i | −0.680949 | + | 0.131445i | ||||
\(705\) | 30.3307 | 1.14232 | ||||||||
\(706\) | −37.6929 | − | 3.74835i | −1.41859 | − | 0.141071i | ||||
\(707\) | −0.286054 | − | 0.286054i | −0.0107582 | − | 0.0107582i | ||||
\(708\) | 51.7969 | + | 10.4047i | 1.94665 | + | 0.391033i | ||||
\(709\) | −35.0639 | + | 35.0639i | −1.31685 | + | 1.31685i | −0.400598 | + | 0.916254i | \(0.631198\pi\) |
−0.916254 | + | 0.400598i | \(0.868802\pi\) | |||||||
\(710\) | −9.31840 | − | 11.3764i | −0.349713 | − | 0.426948i | ||||
\(711\) | 120.857i | 4.53249i | ||||||||
\(712\) | 4.51151 | − | 14.7223i | 0.169076 | − | 0.551740i | ||||
\(713\) | − | 0.876848i | − | 0.0328382i | ||||||
\(714\) | −7.76085 | + | 6.35692i | −0.290443 | + | 0.237902i | ||||
\(715\) | 1.58839 | − | 1.58839i | 0.0594026 | − | 0.0594026i | ||||
\(716\) | 25.7513 | + | 38.6975i | 0.962373 | + | 1.44619i | ||||
\(717\) | 20.5290 | + | 20.5290i | 0.766671 | + | 0.766671i | ||||
\(718\) | −2.67562 | + | 26.9057i | −0.0998534 | + | 1.00411i | ||||
\(719\) | −0.436840 | −0.0162914 | −0.00814568 | − | 0.999967i | \(-0.502593\pi\) | ||||
−0.00814568 | + | 0.999967i | \(0.502593\pi\) | |||||||
\(720\) | 11.8654 | + | 28.9544i | 0.442198 | + | 1.07907i | ||||
\(721\) | 4.42120 | 0.164654 | ||||||||
\(722\) | 1.62007 | − | 16.2913i | 0.0602929 | − | 0.606298i | ||||
\(723\) | 8.70356 | + | 8.70356i | 0.323689 | + | 0.323689i | ||||
\(724\) | −36.3896 | + | 24.2155i | −1.35241 | + | 0.899963i | ||||
\(725\) | −5.27182 | + | 5.27182i | −0.195790 | + | 0.195790i | ||||
\(726\) | 20.5491 | − | 16.8317i | 0.762647 | − | 0.624684i | ||||
\(727\) | − | 38.8072i | − | 1.43928i | −0.694348 | − | 0.719640i | \(-0.744307\pi\) | ||
0.694348 | − | 0.719640i | \(-0.255693\pi\) | |||||||
\(728\) | 2.39588 | − | 1.27191i | 0.0887970 | − | 0.0471402i | ||||
\(729\) | − | 68.1444i | − | 2.52387i | ||||||
\(730\) | 8.28423 | + | 10.1138i | 0.306613 | + | 0.374329i | ||||
\(731\) | 1.11455 | − | 1.11455i | 0.0412233 | − | 0.0412233i | ||||
\(732\) | −6.60263 | + | 32.8693i | −0.244040 | + | 1.21488i | ||||
\(733\) | −24.3059 | − | 24.3059i | −0.897758 | − | 0.897758i | 0.0974793 | − | 0.995238i | \(-0.468922\pi\) |
−0.995238 | + | 0.0974793i | \(0.968922\pi\) | |||||||
\(734\) | 5.97226 | + | 0.593908i | 0.220440 | + | 0.0219215i | ||||
\(735\) | −19.8561 | −0.732404 | ||||||||
\(736\) | 5.41906 | − | 10.0243i | 0.199749 | − | 0.369500i | ||||
\(737\) | −14.7539 | −0.543469 | ||||||||
\(738\) | 43.2800 | + | 4.30395i | 1.59316 | + | 0.158431i | ||||
\(739\) | −27.0262 | − | 27.0262i | −0.994174 | − | 0.994174i | 0.00580951 | − | 0.999983i | \(-0.498151\pi\) |
−0.999983 | + | 0.00580951i | \(0.998151\pi\) | |||||||
\(740\) | −3.22971 | + | 16.0782i | −0.118727 | + | 0.591046i | ||||
\(741\) | −6.18982 | + | 6.18982i | −0.227389 | + | 0.227389i | ||||
\(742\) | 7.83253 | + | 9.56235i | 0.287541 | + | 0.351045i | ||||
\(743\) | − | 12.1663i | − | 0.446337i | −0.974780 | − | 0.223169i | \(-0.928360\pi\) | ||
0.974780 | − | 0.223169i | \(-0.0716401\pi\) | |||||||
\(744\) | −1.89919 | − | 3.57746i | −0.0696276 | − | 0.131156i | ||||
\(745\) | − | 17.8705i | − | 0.654724i | ||||||
\(746\) | 37.0580 | − | 30.3543i | 1.35679 | − | 1.11135i | ||||
\(747\) | 5.34489 | − | 5.34489i | 0.195559 | − | 0.195559i | ||||
\(748\) | 8.40940 | − | 5.59605i | 0.307478 | − | 0.204612i | ||||
\(749\) | −6.38199 | − | 6.38199i | −0.233193 | − | 0.233193i | ||||
\(750\) | −0.460393 | + | 4.62965i | −0.0168112 | + | 0.169051i | ||||
\(751\) | −40.8606 | −1.49102 | −0.745512 | − | 0.666492i | \(-0.767795\pi\) | ||||
−0.745512 | + | 0.666492i | \(0.767795\pi\) | |||||||
\(752\) | −34.0177 | − | 14.2413i | −1.24050 | − | 0.519326i | ||||
\(753\) | 27.8834 | 1.01613 | ||||||||
\(754\) | −1.01895 | + | 10.2464i | −0.0371079 | + | 0.373152i | ||||
\(755\) | −10.7170 | − | 10.7170i | −0.390033 | − | 0.390033i | ||||
\(756\) | 17.2634 | + | 25.9424i | 0.627864 | + | 0.943516i | ||||
\(757\) | −0.00399171 | + | 0.00399171i | −0.000145081 | + | 0.000145081i | −0.707179 | − | 0.707034i | \(-0.750033\pi\) |
0.707034 | + | 0.707179i | \(0.250033\pi\) | |||||||
\(758\) | −11.5374 | + | 9.45026i | −0.419056 | + | 0.343249i | ||||
\(759\) | − | 15.2432i | − | 0.553292i | ||||||
\(760\) | 7.36818 | + | 2.25791i | 0.267272 | + | 0.0819031i | ||||
\(761\) | − | 0.751325i | − | 0.0272355i | −0.999907 | − | 0.0136178i | \(-0.995665\pi\) | ||
0.999907 | − | 0.0136178i | \(-0.00433480\pi\) | |||||||
\(762\) | −14.3449 | − | 17.5129i | −0.519660 | − | 0.634427i | ||||
\(763\) | 2.47418 | − | 2.47418i | 0.0895712 | − | 0.0895712i | ||||
\(764\) | −28.9953 | − | 5.82443i | −1.04901 | − | 0.210721i | ||||
\(765\) | −12.1460 | − | 12.1460i | −0.439141 | − | 0.439141i | ||||
\(766\) | 7.31313 | + | 0.727250i | 0.264234 | + | 0.0262766i | ||||
\(767\) | 7.84172 | 0.283148 | ||||||||
\(768\) | 0.397428 | − | 52.6354i | 0.0143410 | − | 1.89932i |