Properties

Label 416.2.bf.a.53.17
Level $416$
Weight $2$
Character 416.53
Analytic conductor $3.322$
Analytic rank $0$
Dimension $192$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [416,2,Mod(53,416)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(416, base_ring=CyclotomicField(8))
 
chi = DirichletCharacter(H, H._module([0, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("416.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 416 = 2^{5} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 416.bf (of order \(8\), degree \(4\), 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: \(3.32177672409\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 53.17
Character \(\chi\) \(=\) 416.53
Dual form 416.2.bf.a.157.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.706943 - 1.22484i) q^{2} +(-3.07212 + 1.27251i) q^{3} +(-1.00046 + 1.73178i) q^{4} +(0.840287 - 2.02863i) q^{5} +(3.73043 + 2.86325i) q^{6} +(-1.05731 - 1.05731i) q^{7} +(2.82843 + 0.00113391i) q^{8} +(5.69729 - 5.69729i) q^{9} +O(q^{10})\) \(q+(-0.706943 - 1.22484i) q^{2} +(-3.07212 + 1.27251i) q^{3} +(-1.00046 + 1.73178i) q^{4} +(0.840287 - 2.02863i) q^{5} +(3.73043 + 2.86325i) q^{6} +(-1.05731 - 1.05731i) q^{7} +(2.82843 + 0.00113391i) q^{8} +(5.69729 - 5.69729i) q^{9} +(-3.07878 + 0.404911i) q^{10} +(-2.23858 - 0.927249i) q^{11} +(0.869822 - 6.59334i) q^{12} +(-0.382683 - 0.923880i) q^{13} +(-0.547576 + 2.04249i) q^{14} +7.30147i q^{15} +(-1.99815 - 3.46517i) q^{16} +6.89532i q^{17} +(-11.0059 - 2.95060i) q^{18} +(-1.11025 - 2.68038i) q^{19} +(2.67248 + 3.48477i) q^{20} +(4.59361 + 1.90274i) q^{21} +(0.446816 + 3.39741i) q^{22} +(-1.82706 + 1.82706i) q^{23} +(-8.69070 + 3.59572i) q^{24} +(0.126266 + 0.126266i) q^{25} +(-0.861069 + 1.12186i) q^{26} +(-6.43532 + 15.5362i) q^{27} +(2.88883 - 0.773232i) q^{28} +(-6.09051 + 2.52277i) q^{29} +(8.94313 - 5.16172i) q^{30} +0.600079 q^{31} +(-2.83170 + 4.89709i) q^{32} +8.05711 q^{33} +(8.44566 - 4.87460i) q^{34} +(-3.03333 + 1.25645i) q^{35} +(4.16654 + 15.5664i) q^{36} +(-2.37525 + 5.73436i) q^{37} +(-2.49816 + 3.25476i) q^{38} +(2.35130 + 2.35130i) q^{39} +(2.37899 - 5.73689i) q^{40} +(-1.89745 + 1.89745i) q^{41} +(-0.916876 - 6.97157i) q^{42} +(7.35282 + 3.04564i) q^{43} +(3.84541 - 2.94905i) q^{44} +(-6.77035 - 16.3451i) q^{45} +(3.52948 + 0.946227i) q^{46} +8.80706i q^{47} +(10.5480 + 8.10274i) q^{48} -4.76420i q^{49} +(0.0653928 - 0.243919i) q^{50} +(-8.77438 - 21.1832i) q^{51} +(1.98282 + 0.261582i) q^{52} +(-10.9745 - 4.54578i) q^{53} +(23.5788 - 3.10100i) q^{54} +(-3.76210 + 3.76210i) q^{55} +(-2.98932 - 2.99172i) q^{56} +(6.82164 + 6.82164i) q^{57} +(7.39563 + 5.67644i) q^{58} +(2.29877 - 5.54971i) q^{59} +(-12.6446 - 7.30485i) q^{60} +(-11.6640 + 4.83140i) q^{61} +(-0.424222 - 0.735000i) q^{62} -12.0476 q^{63} +(8.00000 + 0.00641434i) q^{64} -2.19578 q^{65} +(-5.69592 - 9.86866i) q^{66} +(2.96767 - 1.22925i) q^{67} +(-11.9412 - 6.89852i) q^{68} +(3.28798 - 7.93789i) q^{69} +(3.68334 + 2.82711i) q^{70} +(-2.14910 - 2.14910i) q^{71} +(16.1208 - 16.1079i) q^{72} +(-0.189225 + 0.189225i) q^{73} +(8.70284 - 1.14457i) q^{74} +(-0.548580 - 0.227229i) q^{75} +(5.75261 + 0.758910i) q^{76} +(1.38648 + 3.34726i) q^{77} +(1.21773 - 4.54219i) q^{78} +5.43668i q^{79} +(-8.70858 + 1.14177i) q^{80} -31.7466i q^{81} +(3.66547 + 0.982684i) q^{82} +(5.85721 + 14.1406i) q^{83} +(-7.89087 + 6.05153i) q^{84} +(13.9881 + 5.79405i) q^{85} +(-1.46761 - 11.1591i) q^{86} +(15.5005 - 15.5005i) q^{87} +(-6.33060 - 2.62520i) q^{88} +(11.8476 + 11.8476i) q^{89} +(-15.2338 + 19.8476i) q^{90} +(-0.572211 + 1.38144i) q^{91} +(-1.33617 - 4.99197i) q^{92} +(-1.84351 + 0.763608i) q^{93} +(10.7872 - 6.22609i) q^{94} -6.37044 q^{95} +(2.46771 - 18.6478i) q^{96} -4.15797 q^{97} +(-5.83537 + 3.36802i) q^{98} +(-18.0366 + 7.47102i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 16 q^{10} - 16 q^{12} - 40 q^{16} - 40 q^{18} - 8 q^{22} - 16 q^{23} + 24 q^{24} + 80 q^{30} - 48 q^{31} - 48 q^{35} + 80 q^{36} - 56 q^{38} - 64 q^{40} - 16 q^{43} - 80 q^{44} + 24 q^{50} + 32 q^{51} - 32 q^{53} - 24 q^{54} + 32 q^{55} + 16 q^{56} - 64 q^{58} - 56 q^{60} - 64 q^{61} + 24 q^{62} + 80 q^{63} + 72 q^{64} + 96 q^{66} + 80 q^{67} - 32 q^{68} - 64 q^{69} - 120 q^{72} - 32 q^{74} + 32 q^{75} + 64 q^{76} - 32 q^{77} - 56 q^{80} - 80 q^{82} - 80 q^{83} + 112 q^{84} - 112 q^{87} - 88 q^{88} - 120 q^{90} + 144 q^{92} + 40 q^{94} + 136 q^{96} + 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(287\) \(353\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(1\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.706943 1.22484i −0.499884 0.866092i
\(3\) −3.07212 + 1.27251i −1.77369 + 0.734685i −0.779577 + 0.626306i \(0.784566\pi\)
−0.994110 + 0.108379i \(0.965434\pi\)
\(4\) −1.00046 + 1.73178i −0.500231 + 0.865892i
\(5\) 0.840287 2.02863i 0.375788 0.907232i −0.616958 0.786996i \(-0.711635\pi\)
0.992745 0.120236i \(-0.0383650\pi\)
\(6\) 3.73043 + 2.86325i 1.52294 + 1.16892i
\(7\) −1.05731 1.05731i −0.399625 0.399625i 0.478476 0.878101i \(-0.341189\pi\)
−0.878101 + 0.478476i \(0.841189\pi\)
\(8\) 2.82843 + 0.00113391i 1.00000 + 0.000400896i
\(9\) 5.69729 5.69729i 1.89910 1.89910i
\(10\) −3.07878 + 0.404911i −0.973597 + 0.128044i
\(11\) −2.23858 0.927249i −0.674957 0.279576i 0.0187602 0.999824i \(-0.494028\pi\)
−0.693717 + 0.720248i \(0.744028\pi\)
\(12\) 0.869822 6.59334i 0.251096 1.90333i
\(13\) −0.382683 0.923880i −0.106137 0.256238i
\(14\) −0.547576 + 2.04249i −0.146346 + 0.545879i
\(15\) 7.30147i 1.88523i
\(16\) −1.99815 3.46517i −0.499537 0.866293i
\(17\) 6.89532i 1.67236i 0.548454 + 0.836181i \(0.315217\pi\)
−0.548454 + 0.836181i \(0.684783\pi\)
\(18\) −11.0059 2.95060i −2.59412 0.695464i
\(19\) −1.11025 2.68038i −0.254709 0.614922i 0.743864 0.668332i \(-0.232991\pi\)
−0.998573 + 0.0534092i \(0.982991\pi\)
\(20\) 2.67248 + 3.48477i 0.597584 + 0.779218i
\(21\) 4.59361 + 1.90274i 1.00241 + 0.415211i
\(22\) 0.446816 + 3.39741i 0.0952615 + 0.724331i
\(23\) −1.82706 + 1.82706i −0.380968 + 0.380968i −0.871451 0.490483i \(-0.836820\pi\)
0.490483 + 0.871451i \(0.336820\pi\)
\(24\) −8.69070 + 3.59572i −1.77398 + 0.733974i
\(25\) 0.126266 + 0.126266i 0.0252533 + 0.0252533i
\(26\) −0.861069 + 1.12186i −0.168869 + 0.220014i
\(27\) −6.43532 + 15.5362i −1.23848 + 2.98995i
\(28\) 2.88883 0.773232i 0.545937 0.146127i
\(29\) −6.09051 + 2.52277i −1.13098 + 0.468467i −0.868113 0.496366i \(-0.834667\pi\)
−0.262865 + 0.964833i \(0.584667\pi\)
\(30\) 8.94313 5.16172i 1.63278 0.942397i
\(31\) 0.600079 0.107777 0.0538887 0.998547i \(-0.482838\pi\)
0.0538887 + 0.998547i \(0.482838\pi\)
\(32\) −2.83170 + 4.89709i −0.500579 + 0.865691i
\(33\) 8.05711 1.40256
\(34\) 8.44566 4.87460i 1.44842 0.835987i
\(35\) −3.03333 + 1.25645i −0.512727 + 0.212379i
\(36\) 4.16654 + 15.5664i 0.694424 + 2.59440i
\(37\) −2.37525 + 5.73436i −0.390489 + 0.942723i 0.599345 + 0.800491i \(0.295428\pi\)
−0.989833 + 0.142232i \(0.954572\pi\)
\(38\) −2.49816 + 3.25476i −0.405254 + 0.527992i
\(39\) 2.35130 + 2.35130i 0.376509 + 0.376509i
\(40\) 2.37899 5.73689i 0.376152 0.907081i
\(41\) −1.89745 + 1.89745i −0.296332 + 0.296332i −0.839575 0.543243i \(-0.817196\pi\)
0.543243 + 0.839575i \(0.317196\pi\)
\(42\) −0.916876 6.97157i −0.141477 1.07574i
\(43\) 7.35282 + 3.04564i 1.12129 + 0.464455i 0.864813 0.502094i \(-0.167437\pi\)
0.256481 + 0.966549i \(0.417437\pi\)
\(44\) 3.84541 2.94905i 0.579717 0.444587i
\(45\) −6.77035 16.3451i −1.00926 2.43658i
\(46\) 3.52948 + 0.946227i 0.520393 + 0.139514i
\(47\) 8.80706i 1.28464i 0.766436 + 0.642321i \(0.222028\pi\)
−0.766436 + 0.642321i \(0.777972\pi\)
\(48\) 10.5480 + 8.10274i 1.52247 + 1.16953i
\(49\) 4.76420i 0.680599i
\(50\) 0.0653928 0.243919i 0.00924794 0.0344953i
\(51\) −8.77438 21.1832i −1.22866 2.96625i
\(52\) 1.98282 + 0.261582i 0.274968 + 0.0362749i
\(53\) −10.9745 4.54578i −1.50746 0.624411i −0.532429 0.846474i \(-0.678721\pi\)
−0.975032 + 0.222063i \(0.928721\pi\)
\(54\) 23.5788 3.10100i 3.20867 0.421993i
\(55\) −3.76210 + 3.76210i −0.507281 + 0.507281i
\(56\) −2.98932 2.99172i −0.399465 0.399785i
\(57\) 6.82164 + 6.82164i 0.903548 + 0.903548i
\(58\) 7.39563 + 5.67644i 0.971094 + 0.745353i
\(59\) 2.29877 5.54971i 0.299274 0.722511i −0.700685 0.713470i \(-0.747122\pi\)
0.999959 0.00904045i \(-0.00287771\pi\)
\(60\) −12.6446 7.30485i −1.63241 0.943052i
\(61\) −11.6640 + 4.83140i −1.49342 + 0.618597i −0.972059 0.234736i \(-0.924577\pi\)
−0.521366 + 0.853333i \(0.674577\pi\)
\(62\) −0.424222 0.735000i −0.0538762 0.0933451i
\(63\) −12.0476 −1.51785
\(64\) 8.00000 + 0.00641434i 1.00000 + 0.000801793i
\(65\) −2.19578 −0.272353
\(66\) −5.69592 9.86866i −0.701119 1.21475i
\(67\) 2.96767 1.22925i 0.362559 0.150177i −0.193965 0.981008i \(-0.562135\pi\)
0.556524 + 0.830832i \(0.312135\pi\)
\(68\) −11.9412 6.89852i −1.44808 0.836568i
\(69\) 3.28798 7.93789i 0.395826 0.955610i
\(70\) 3.68334 + 2.82711i 0.440244 + 0.337904i
\(71\) −2.14910 2.14910i −0.255051 0.255051i 0.567986 0.823038i \(-0.307723\pi\)
−0.823038 + 0.567986i \(0.807723\pi\)
\(72\) 16.1208 16.1079i 1.89986 1.89833i
\(73\) −0.189225 + 0.189225i −0.0221472 + 0.0221472i −0.718094 0.695946i \(-0.754985\pi\)
0.695946 + 0.718094i \(0.254985\pi\)
\(74\) 8.70284 1.14457i 1.01168 0.133053i
\(75\) −0.548580 0.227229i −0.0633445 0.0262382i
\(76\) 5.75261 + 0.758910i 0.659870 + 0.0870529i
\(77\) 1.38648 + 3.34726i 0.158004 + 0.381455i
\(78\) 1.21773 4.54219i 0.137880 0.514302i
\(79\) 5.43668i 0.611674i 0.952084 + 0.305837i \(0.0989363\pi\)
−0.952084 + 0.305837i \(0.901064\pi\)
\(80\) −8.70858 + 1.14177i −0.973648 + 0.127654i
\(81\) 31.7466i 3.52740i
\(82\) 3.66547 + 0.982684i 0.404783 + 0.108519i
\(83\) 5.85721 + 14.1406i 0.642912 + 1.55213i 0.822733 + 0.568428i \(0.192448\pi\)
−0.179821 + 0.983699i \(0.557552\pi\)
\(84\) −7.89087 + 6.05153i −0.860964 + 0.660276i
\(85\) 13.9881 + 5.79405i 1.51722 + 0.628453i
\(86\) −1.46761 11.1591i −0.158256 1.20332i
\(87\) 15.5005 15.5005i 1.66183 1.66183i
\(88\) −6.33060 2.62520i −0.674845 0.279847i
\(89\) 11.8476 + 11.8476i 1.25584 + 1.25584i 0.953061 + 0.302777i \(0.0979137\pi\)
0.302777 + 0.953061i \(0.402086\pi\)
\(90\) −15.2338 + 19.8476i −1.60579 + 2.09212i
\(91\) −0.572211 + 1.38144i −0.0599841 + 0.144814i
\(92\) −1.33617 4.99197i −0.139305 0.520449i
\(93\) −1.84351 + 0.763608i −0.191163 + 0.0791824i
\(94\) 10.7872 6.22609i 1.11262 0.642172i
\(95\) −6.37044 −0.653594
\(96\) 2.46771 18.6478i 0.251859 1.90323i
\(97\) −4.15797 −0.422178 −0.211089 0.977467i \(-0.567701\pi\)
−0.211089 + 0.977467i \(0.567701\pi\)
\(98\) −5.83537 + 3.36802i −0.589462 + 0.340221i
\(99\) −18.0366 + 7.47102i −1.81275 + 0.750865i
\(100\) −0.344991 + 0.0923411i −0.0344991 + 0.00923411i
\(101\) −4.93192 + 11.9067i −0.490745 + 1.18476i 0.463597 + 0.886046i \(0.346559\pi\)
−0.954342 + 0.298717i \(0.903441\pi\)
\(102\) −19.7431 + 25.7225i −1.95486 + 2.54691i
\(103\) 1.21280 + 1.21280i 0.119501 + 0.119501i 0.764328 0.644827i \(-0.223071\pi\)
−0.644827 + 0.764328i \(0.723071\pi\)
\(104\) −1.08134 2.61356i −0.106035 0.256281i
\(105\) 7.71991 7.71991i 0.753386 0.753386i
\(106\) 2.19049 + 16.6556i 0.212759 + 1.61773i
\(107\) −3.57812 1.48210i −0.345910 0.143280i 0.202963 0.979186i \(-0.434943\pi\)
−0.548873 + 0.835906i \(0.684943\pi\)
\(108\) −20.4671 26.6880i −1.96945 2.56806i
\(109\) −0.0783483 0.189150i −0.00750441 0.0181172i 0.920083 0.391724i \(-0.128121\pi\)
−0.927587 + 0.373606i \(0.878121\pi\)
\(110\) 7.26755 + 1.94838i 0.692934 + 0.185770i
\(111\) 20.6392i 1.95898i
\(112\) −1.55110 + 5.77641i −0.146565 + 0.545820i
\(113\) 14.4049i 1.35510i −0.735478 0.677549i \(-0.763042\pi\)
0.735478 0.677549i \(-0.236958\pi\)
\(114\) 3.53290 13.1779i 0.330887 1.23423i
\(115\) 2.17118 + 5.24169i 0.202463 + 0.488790i
\(116\) 1.72443 13.0714i 0.160110 1.21365i
\(117\) −7.44386 3.08335i −0.688186 0.285056i
\(118\) −8.42260 + 1.10771i −0.775363 + 0.101973i
\(119\) 7.29049 7.29049i 0.668318 0.668318i
\(120\) −0.00827918 + 20.6517i −0.000755782 + 1.88523i
\(121\) −3.62673 3.62673i −0.329703 0.329703i
\(122\) 14.1635 + 10.8710i 1.28230 + 0.984217i
\(123\) 3.41466 8.24372i 0.307890 0.743312i
\(124\) −0.600357 + 1.03921i −0.0539136 + 0.0933235i
\(125\) 10.5054 4.35148i 0.939632 0.389209i
\(126\) 8.51696 + 14.7564i 0.758751 + 1.31460i
\(127\) −0.940625 −0.0834670 −0.0417335 0.999129i \(-0.513288\pi\)
−0.0417335 + 0.999129i \(0.513288\pi\)
\(128\) −5.64769 9.80325i −0.499190 0.866493i
\(129\) −26.4643 −2.33005
\(130\) 1.55229 + 2.68947i 0.136145 + 0.235882i
\(131\) −6.43157 + 2.66405i −0.561929 + 0.232759i −0.645523 0.763741i \(-0.723360\pi\)
0.0835932 + 0.996500i \(0.473360\pi\)
\(132\) −8.06084 + 13.9532i −0.701606 + 1.21447i
\(133\) −1.66012 + 4.00787i −0.143950 + 0.347527i
\(134\) −3.60361 2.76591i −0.311304 0.238938i
\(135\) 26.1098 + 26.1098i 2.24717 + 2.24717i
\(136\) −0.00781865 + 19.5029i −0.000670444 + 1.67236i
\(137\) −8.86704 + 8.86704i −0.757562 + 0.757562i −0.975878 0.218316i \(-0.929944\pi\)
0.218316 + 0.975878i \(0.429944\pi\)
\(138\) −12.0471 + 1.58439i −1.02551 + 0.134872i
\(139\) 10.1791 + 4.21634i 0.863384 + 0.357625i 0.770030 0.638008i \(-0.220241\pi\)
0.0933539 + 0.995633i \(0.470241\pi\)
\(140\) 0.858842 6.51011i 0.0725854 0.550205i
\(141\) −11.2071 27.0563i −0.943807 2.27855i
\(142\) −1.11301 + 4.15160i −0.0934019 + 0.348394i
\(143\) 2.42302i 0.202623i
\(144\) −31.1261 8.35805i −2.59384 0.696504i
\(145\) 14.4753i 1.20210i
\(146\) 0.365542 + 0.0979991i 0.0302525 + 0.00811046i
\(147\) 6.06250 + 14.6362i 0.500026 + 1.20717i
\(148\) −7.55432 9.85044i −0.620962 0.809701i
\(149\) 2.09345 + 0.867136i 0.171502 + 0.0710386i 0.466783 0.884372i \(-0.345413\pi\)
−0.295280 + 0.955411i \(0.595413\pi\)
\(150\) 0.109495 + 0.832560i 0.00894027 + 0.0679783i
\(151\) 8.41108 8.41108i 0.684484 0.684484i −0.276523 0.961007i \(-0.589182\pi\)
0.961007 + 0.276523i \(0.0891823\pi\)
\(152\) −3.13723 7.58253i −0.254463 0.615024i
\(153\) 39.2846 + 39.2846i 3.17598 + 3.17598i
\(154\) 3.11969 4.06454i 0.251392 0.327530i
\(155\) 0.504239 1.21734i 0.0405014 0.0977791i
\(156\) −6.42432 + 1.71955i −0.514357 + 0.137674i
\(157\) −1.29387 + 0.535938i −0.103262 + 0.0427725i −0.433716 0.901049i \(-0.642798\pi\)
0.330454 + 0.943822i \(0.392798\pi\)
\(158\) 6.65906 3.84342i 0.529766 0.305766i
\(159\) 39.4994 3.13251
\(160\) 7.55495 + 9.85944i 0.597271 + 0.779457i
\(161\) 3.86353 0.304489
\(162\) −38.8845 + 22.4431i −3.05506 + 1.76329i
\(163\) −3.84508 + 1.59268i −0.301170 + 0.124749i −0.528151 0.849151i \(-0.677114\pi\)
0.226981 + 0.973899i \(0.427114\pi\)
\(164\) −1.38765 5.18431i −0.108357 0.404826i
\(165\) 6.77028 16.3449i 0.527066 1.27245i
\(166\) 13.1792 17.1707i 1.02290 1.33271i
\(167\) −14.9696 14.9696i −1.15839 1.15839i −0.984823 0.173563i \(-0.944472\pi\)
−0.173563 0.984823i \(-0.555528\pi\)
\(168\) 12.9905 + 5.38696i 1.00224 + 0.415613i
\(169\) −0.707107 + 0.707107i −0.0543928 + 0.0543928i
\(170\) −2.79199 21.2292i −0.214136 1.62821i
\(171\) −21.5963 8.94550i −1.65151 0.684079i
\(172\) −12.6306 + 9.68645i −0.963075 + 0.738585i
\(173\) −0.551863 1.33231i −0.0419573 0.101294i 0.901512 0.432755i \(-0.142458\pi\)
−0.943469 + 0.331461i \(0.892458\pi\)
\(174\) −29.9436 8.02764i −2.27002 0.608574i
\(175\) 0.267005i 0.0201837i
\(176\) 1.25993 + 9.60984i 0.0949711 + 0.724369i
\(177\) 19.9746i 1.50138i
\(178\) 6.13580 22.8869i 0.459898 1.71545i
\(179\) −3.89384 9.40055i −0.291039 0.702630i 0.708958 0.705251i \(-0.249166\pi\)
−0.999997 + 0.00262075i \(0.999166\pi\)
\(180\) 35.0796 + 4.62785i 2.61468 + 0.344940i
\(181\) 2.94135 + 1.21835i 0.218629 + 0.0905590i 0.489310 0.872110i \(-0.337249\pi\)
−0.270681 + 0.962669i \(0.587249\pi\)
\(182\) 2.09656 0.275733i 0.155408 0.0204387i
\(183\) 29.6852 29.6852i 2.19439 2.19439i
\(184\) −5.16977 + 5.16563i −0.381121 + 0.380815i
\(185\) 9.63702 + 9.63702i 0.708528 + 0.708528i
\(186\) 2.23855 + 1.71818i 0.164139 + 0.125983i
\(187\) 6.39369 15.4357i 0.467553 1.12877i
\(188\) −15.2519 8.81114i −1.11236 0.642618i
\(189\) 23.2307 9.62248i 1.68979 0.699933i
\(190\) 4.50354 + 7.80277i 0.326721 + 0.566072i
\(191\) −19.7377 −1.42817 −0.714085 0.700059i \(-0.753157\pi\)
−0.714085 + 0.700059i \(0.753157\pi\)
\(192\) −24.5851 + 10.1604i −1.77428 + 0.733263i
\(193\) 7.01268 0.504784 0.252392 0.967625i \(-0.418783\pi\)
0.252392 + 0.967625i \(0.418783\pi\)
\(194\) 2.93945 + 5.09285i 0.211040 + 0.365645i
\(195\) 6.74568 2.79415i 0.483068 0.200093i
\(196\) 8.25056 + 4.76640i 0.589325 + 0.340457i
\(197\) 3.26525 7.88301i 0.232639 0.561641i −0.763847 0.645398i \(-0.776692\pi\)
0.996486 + 0.0837563i \(0.0266917\pi\)
\(198\) 21.9017 + 16.8104i 1.55648 + 1.19466i
\(199\) 11.4609 + 11.4609i 0.812440 + 0.812440i 0.984999 0.172559i \(-0.0552035\pi\)
−0.172559 + 0.984999i \(0.555204\pi\)
\(200\) 0.356992 + 0.357278i 0.0252431 + 0.0252634i
\(201\) −7.55279 + 7.55279i −0.532733 + 0.532733i
\(202\) 18.0704 2.37656i 1.27143 0.167214i
\(203\) 9.10690 + 3.77220i 0.639179 + 0.264756i
\(204\) 45.4632 + 5.99771i 3.18306 + 0.419924i
\(205\) 2.25483 + 5.44364i 0.157484 + 0.380200i
\(206\) 0.628104 2.34286i 0.0437621 0.163235i
\(207\) 20.8186i 1.44699i
\(208\) −2.43674 + 3.17211i −0.168958 + 0.219946i
\(209\) 7.02973i 0.486257i
\(210\) −14.9132 3.99811i −1.02911 0.275896i
\(211\) 1.16190 + 2.80508i 0.0799886 + 0.193110i 0.958815 0.284033i \(-0.0916725\pi\)
−0.878826 + 0.477143i \(0.841673\pi\)
\(212\) 18.8519 14.4575i 1.29475 0.992948i
\(213\) 9.33705 + 3.86753i 0.639764 + 0.264999i
\(214\) 0.714185 + 5.43038i 0.0488207 + 0.371213i
\(215\) 12.3570 12.3570i 0.842738 0.842738i
\(216\) −18.2195 + 43.9358i −1.23968 + 2.98945i
\(217\) −0.634469 0.634469i −0.0430705 0.0430705i
\(218\) −0.176290 + 0.229682i −0.0119399 + 0.0155560i
\(219\) 0.340531 0.822114i 0.0230109 0.0555533i
\(220\) −2.75130 10.2790i −0.185493 0.693008i
\(221\) 6.37045 2.63873i 0.428523 0.177500i
\(222\) −25.2797 + 14.5907i −1.69666 + 0.979264i
\(223\) −22.9047 −1.53382 −0.766908 0.641758i \(-0.778206\pi\)
−0.766908 + 0.641758i \(0.778206\pi\)
\(224\) 8.17172 2.18375i 0.545996 0.145908i
\(225\) 1.43875 0.0959167
\(226\) −17.6437 + 10.1834i −1.17364 + 0.677392i
\(227\) −23.7568 + 9.84040i −1.57680 + 0.653130i −0.987902 0.155080i \(-0.950436\pi\)
−0.588894 + 0.808210i \(0.700436\pi\)
\(228\) −18.6384 + 4.98881i −1.23436 + 0.330392i
\(229\) 9.97103 24.0722i 0.658904 1.59074i −0.140595 0.990067i \(-0.544901\pi\)
0.799499 0.600668i \(-0.205099\pi\)
\(230\) 4.88532 6.36492i 0.322129 0.419690i
\(231\) −8.51885 8.51885i −0.560499 0.560499i
\(232\) −17.2294 + 7.12857i −1.13117 + 0.468013i
\(233\) −15.9597 + 15.9597i −1.04555 + 1.04555i −0.0466402 + 0.998912i \(0.514851\pi\)
−0.998912 + 0.0466402i \(0.985149\pi\)
\(234\) 1.48578 + 11.2973i 0.0971285 + 0.738527i
\(235\) 17.8663 + 7.40046i 1.16547 + 0.482753i
\(236\) 7.31107 + 9.53325i 0.475910 + 0.620561i
\(237\) −6.91824 16.7021i −0.449388 1.08492i
\(238\) −14.0836 3.77572i −0.912907 0.244743i
\(239\) 12.3952i 0.801782i 0.916126 + 0.400891i \(0.131299\pi\)
−0.916126 + 0.400891i \(0.868701\pi\)
\(240\) 25.3008 14.5894i 1.63316 0.941743i
\(241\) 10.1671i 0.654919i −0.944865 0.327459i \(-0.893808\pi\)
0.944865 0.327459i \(-0.106192\pi\)
\(242\) −1.87827 + 7.00606i −0.120740 + 0.450367i
\(243\) 21.0920 + 50.9206i 1.35305 + 3.26655i
\(244\) 3.30249 25.0332i 0.211420 1.60259i
\(245\) −9.66480 4.00329i −0.617462 0.255761i
\(246\) −12.5112 + 1.64543i −0.797686 + 0.104909i
\(247\) −2.05148 + 2.05148i −0.130532 + 0.130532i
\(248\) 1.69728 0.000680433i 0.107777 4.32076e-5i
\(249\) −35.9880 35.9880i −2.28065 2.28065i
\(250\) −12.7566 9.79119i −0.806798 0.619249i
\(251\) −6.97038 + 16.8280i −0.439966 + 1.06217i 0.535993 + 0.844222i \(0.319937\pi\)
−0.975960 + 0.217951i \(0.930063\pi\)
\(252\) 12.0532 20.8638i 0.759278 1.31430i
\(253\) 5.78415 2.39587i 0.363647 0.150627i
\(254\) 0.664968 + 1.15211i 0.0417238 + 0.0722901i
\(255\) −50.3460 −3.15279
\(256\) −8.01481 + 13.8478i −0.500926 + 0.865490i
\(257\) 4.76471 0.297215 0.148607 0.988896i \(-0.452521\pi\)
0.148607 + 0.988896i \(0.452521\pi\)
\(258\) 18.7088 + 32.4146i 1.16476 + 2.01804i
\(259\) 8.57437 3.55162i 0.532785 0.220687i
\(260\) 2.19679 3.80261i 0.136239 0.235828i
\(261\) −20.3264 + 49.0723i −1.25817 + 3.03750i
\(262\) 7.80979 + 5.99432i 0.482490 + 0.370330i
\(263\) −17.1628 17.1628i −1.05830 1.05830i −0.998192 0.0601097i \(-0.980855\pi\)
−0.0601097 0.998192i \(-0.519145\pi\)
\(264\) 22.7889 + 0.00913600i 1.40256 + 0.000562282i
\(265\) −18.4434 + 18.4434i −1.13297 + 1.13297i
\(266\) 6.08261 0.799964i 0.372949 0.0490489i
\(267\) −51.4732 21.3209i −3.15011 1.30482i
\(268\) −0.840250 + 6.36918i −0.0513265 + 0.389060i
\(269\) −3.78114 9.12848i −0.230540 0.556574i 0.765701 0.643197i \(-0.222392\pi\)
−0.996241 + 0.0866234i \(0.972392\pi\)
\(270\) 13.5222 50.4385i 0.822933 3.06959i
\(271\) 6.42480i 0.390279i −0.980775 0.195140i \(-0.937484\pi\)
0.980775 0.195140i \(-0.0625160\pi\)
\(272\) 23.8935 13.7779i 1.44875 0.835407i
\(273\) 4.97209i 0.300925i
\(274\) 17.1292 + 4.59220i 1.03481 + 0.277425i
\(275\) −0.165577 0.399737i −0.00998464 0.0241051i
\(276\) 10.4572 + 13.6356i 0.629450 + 0.820769i
\(277\) 10.9274 + 4.52627i 0.656563 + 0.271957i 0.685992 0.727610i \(-0.259369\pi\)
−0.0294284 + 0.999567i \(0.509369\pi\)
\(278\) −2.03174 15.4485i −0.121856 0.926541i
\(279\) 3.41882 3.41882i 0.204680 0.204680i
\(280\) −8.58099 + 3.55033i −0.512812 + 0.212173i
\(281\) 12.3901 + 12.3901i 0.739132 + 0.739132i 0.972410 0.233278i \(-0.0749453\pi\)
−0.233278 + 0.972410i \(0.574945\pi\)
\(282\) −25.2169 + 32.8541i −1.50164 + 1.95644i
\(283\) −7.52972 + 18.1784i −0.447596 + 1.08059i 0.525625 + 0.850717i \(0.323832\pi\)
−0.973220 + 0.229875i \(0.926168\pi\)
\(284\) 5.87188 1.57168i 0.348432 0.0932622i
\(285\) 19.5707 8.10647i 1.15927 0.480186i
\(286\) 2.96781 1.71294i 0.175490 0.101288i
\(287\) 4.01239 0.236844
\(288\) 11.7671 + 44.0331i 0.693384 + 2.59468i
\(289\) −30.5455 −1.79679
\(290\) 17.7299 10.2332i 1.04113 0.600913i
\(291\) 12.7738 5.29107i 0.748812 0.310168i
\(292\) −0.138384 0.517010i −0.00809834 0.0302557i
\(293\) −1.83794 + 4.43719i −0.107374 + 0.259223i −0.968430 0.249287i \(-0.919804\pi\)
0.861056 + 0.508511i \(0.169804\pi\)
\(294\) 13.6411 17.7725i 0.795565 1.03651i
\(295\) −9.32670 9.32670i −0.543022 0.543022i
\(296\) −6.72473 + 16.2165i −0.390867 + 0.942567i
\(297\) 28.8119 28.8119i 1.67184 1.67184i
\(298\) −0.417849 3.17716i −0.0242053 0.184048i
\(299\) 2.38717 + 0.988797i 0.138053 + 0.0571836i
\(300\) 0.942346 0.722687i 0.0544064 0.0417244i
\(301\) −4.55402 10.9944i −0.262490 0.633706i
\(302\) −16.2484 4.35607i −0.934989 0.250663i
\(303\) 42.8547i 2.46194i
\(304\) −7.06954 + 9.20301i −0.405466 + 0.527829i
\(305\) 27.7218i 1.58734i
\(306\) 20.3454 75.8894i 1.16307 4.33831i
\(307\) −5.24867 12.6714i −0.299557 0.723195i −0.999955 0.00944283i \(-0.996994\pi\)
0.700398 0.713752i \(-0.253006\pi\)
\(308\) −7.18385 0.947725i −0.409338 0.0540016i
\(309\) −5.26916 2.18256i −0.299752 0.124161i
\(310\) −1.84751 + 0.242979i −0.104932 + 0.0138003i
\(311\) −7.60983 + 7.60983i −0.431514 + 0.431514i −0.889143 0.457629i \(-0.848699\pi\)
0.457629 + 0.889143i \(0.348699\pi\)
\(312\) 6.64780 + 6.65313i 0.376358 + 0.376660i
\(313\) −7.75071 7.75071i −0.438096 0.438096i 0.453275 0.891371i \(-0.350256\pi\)
−0.891371 + 0.453275i \(0.850256\pi\)
\(314\) 1.57113 + 1.20590i 0.0886640 + 0.0680531i
\(315\) −10.1234 + 24.4401i −0.570391 + 1.37704i
\(316\) −9.41515 5.43920i −0.529644 0.305979i
\(317\) −19.1889 + 7.94830i −1.07776 + 0.446421i −0.849721 0.527232i \(-0.823230\pi\)
−0.228034 + 0.973653i \(0.573230\pi\)
\(318\) −27.9239 48.3805i −1.56589 2.71304i
\(319\) 15.9733 0.894334
\(320\) 6.73531 16.2237i 0.376515 0.906930i
\(321\) 12.8784 0.718802
\(322\) −2.73130 4.73221i −0.152209 0.263715i
\(323\) 18.4821 7.65554i 1.02837 0.425966i
\(324\) 54.9783 + 31.7613i 3.05435 + 1.76452i
\(325\) 0.0683348 0.164975i 0.00379053 0.00915116i
\(326\) 4.66903 + 3.58367i 0.258594 + 0.198481i
\(327\) 0.481390 + 0.481390i 0.0266209 + 0.0266209i
\(328\) −5.36896 + 5.36465i −0.296451 + 0.296213i
\(329\) 9.31178 9.31178i 0.513375 0.513375i
\(330\) −24.8061 + 3.26241i −1.36553 + 0.179590i
\(331\) −10.6403 4.40736i −0.584844 0.242250i 0.0705865 0.997506i \(-0.477513\pi\)
−0.655431 + 0.755255i \(0.727513\pi\)
\(332\) −30.3483 4.00368i −1.66558 0.219731i
\(333\) 19.1378 + 46.2028i 1.04875 + 2.53190i
\(334\) −7.75272 + 28.9181i −0.424210 + 1.58233i
\(335\) 7.05324i 0.385359i
\(336\) −2.58541 19.7196i −0.141046 1.07579i
\(337\) 30.9560i 1.68628i −0.537692 0.843142i \(-0.680704\pi\)
0.537692 0.843142i \(-0.319296\pi\)
\(338\) 1.36598 + 0.366208i 0.0742993 + 0.0199191i
\(339\) 18.3304 + 44.2535i 0.995570 + 2.40352i
\(340\) −24.0286 + 18.4276i −1.30313 + 0.999376i
\(341\) −1.34332 0.556423i −0.0727450 0.0301320i
\(342\) 4.31059 + 32.7760i 0.233090 + 1.77232i
\(343\) −12.4384 + 12.4384i −0.671610 + 0.671610i
\(344\) 20.7935 + 8.62270i 1.12111 + 0.464905i
\(345\) −13.3402 13.3402i −0.718213 0.718213i
\(346\) −1.24174 + 1.61781i −0.0667561 + 0.0869742i
\(347\) 13.8421 33.4178i 0.743083 1.79396i 0.150229 0.988651i \(-0.451999\pi\)
0.592854 0.805310i \(-0.298001\pi\)
\(348\) 11.3358 + 42.3511i 0.607664 + 2.27026i
\(349\) −0.579789 + 0.240157i −0.0310354 + 0.0128553i −0.398147 0.917322i \(-0.630347\pi\)
0.367112 + 0.930177i \(0.380347\pi\)
\(350\) −0.327038 + 0.188757i −0.0174809 + 0.0100895i
\(351\) 16.8163 0.897588
\(352\) 10.8798 8.33682i 0.579896 0.444354i
\(353\) 13.2078 0.702981 0.351491 0.936191i \(-0.385675\pi\)
0.351491 + 0.936191i \(0.385675\pi\)
\(354\) 24.4656 14.1209i 1.30033 0.750516i
\(355\) −6.16560 + 2.55388i −0.327236 + 0.135546i
\(356\) −32.3704 + 8.66436i −1.71563 + 0.459210i
\(357\) −13.1200 + 31.6745i −0.694383 + 1.67639i
\(358\) −8.76145 + 11.4150i −0.463057 + 0.603301i
\(359\) −16.0663 16.0663i −0.847947 0.847947i 0.141930 0.989877i \(-0.454669\pi\)
−0.989877 + 0.141930i \(0.954669\pi\)
\(360\) −19.1309 46.2385i −1.00829 2.43698i
\(361\) 7.48323 7.48323i 0.393854 0.393854i
\(362\) −0.587088 4.46398i −0.0308566 0.234622i
\(363\) 15.7568 + 6.52668i 0.827018 + 0.342562i
\(364\) −1.81988 2.37303i −0.0953876 0.124380i
\(365\) 0.224865 + 0.542872i 0.0117700 + 0.0284152i
\(366\) −57.3454 15.3739i −2.99749 0.803605i
\(367\) 2.33921i 0.122106i −0.998135 0.0610530i \(-0.980554\pi\)
0.998135 0.0610530i \(-0.0194459\pi\)
\(368\) 9.98180 + 2.68034i 0.520338 + 0.139722i
\(369\) 21.6207i 1.12553i
\(370\) 4.99098 18.6166i 0.259469 0.967833i
\(371\) 6.79713 + 16.4097i 0.352889 + 0.851950i
\(372\) 0.521962 3.95652i 0.0270625 0.205136i
\(373\) 0.791362 + 0.327793i 0.0409752 + 0.0169725i 0.403077 0.915166i \(-0.367941\pi\)
−0.362102 + 0.932139i \(0.617941\pi\)
\(374\) −23.4263 + 3.08094i −1.21134 + 0.159312i
\(375\) −26.7365 + 26.7365i −1.38067 + 1.38067i
\(376\) −0.00998638 + 24.9101i −0.000515008 + 1.28464i
\(377\) 4.66147 + 4.66147i 0.240078 + 0.240078i
\(378\) −28.2088 21.6514i −1.45090 1.11363i
\(379\) 7.72848 18.6582i 0.396985 0.958407i −0.591392 0.806384i \(-0.701421\pi\)
0.988377 0.152023i \(-0.0485787\pi\)
\(380\) 6.37339 11.0322i 0.326948 0.565941i
\(381\) 2.88971 1.19696i 0.148044 0.0613219i
\(382\) 13.9534 + 24.1755i 0.713920 + 1.23693i
\(383\) −0.174067 −0.00889441 −0.00444720 0.999990i \(-0.501416\pi\)
−0.00444720 + 0.999990i \(0.501416\pi\)
\(384\) 29.8251 + 22.9300i 1.52201 + 1.17014i
\(385\) 7.95540 0.405445
\(386\) −4.95757 8.58941i −0.252333 0.437189i
\(387\) 59.2430 24.5393i 3.01149 1.24740i
\(388\) 4.15990 7.20071i 0.211187 0.365560i
\(389\) 3.02359 7.29959i 0.153302 0.370104i −0.828506 0.559980i \(-0.810809\pi\)
0.981808 + 0.189876i \(0.0608087\pi\)
\(390\) −8.19120 6.28707i −0.414777 0.318358i
\(391\) −12.5982 12.5982i −0.637116 0.637116i
\(392\) 0.00540215 13.4752i 0.000272850 0.680599i
\(393\) 16.3685 16.3685i 0.825682 0.825682i
\(394\) −11.9638 + 1.57343i −0.602726 + 0.0792684i
\(395\) 11.0290 + 4.56837i 0.554931 + 0.229860i
\(396\) 5.10680 38.7100i 0.256626 1.94525i
\(397\) 13.0731 + 31.5612i 0.656120 + 1.58401i 0.803748 + 0.594970i \(0.202836\pi\)
−0.147628 + 0.989043i \(0.547164\pi\)
\(398\) 5.93555 22.1399i 0.297522 1.10977i
\(399\) 14.4252i 0.722161i
\(400\) 0.185235 0.689833i 0.00926177 0.0344916i
\(401\) 27.1280i 1.35471i 0.735657 + 0.677355i \(0.236874\pi\)
−0.735657 + 0.677355i \(0.763126\pi\)
\(402\) 14.5904 + 3.91156i 0.727701 + 0.195091i
\(403\) −0.229640 0.554401i −0.0114392 0.0276167i
\(404\) −15.6856 20.4533i −0.780390 1.01759i
\(405\) −64.4022 26.6763i −3.20017 1.32555i
\(406\) −1.81772 13.8212i −0.0902118 0.685935i
\(407\) 10.6344 10.6344i 0.527126 0.527126i
\(408\) −24.7937 59.9252i −1.22747 2.96674i
\(409\) −5.21955 5.21955i −0.258090 0.258090i 0.566187 0.824277i \(-0.308418\pi\)
−0.824277 + 0.566187i \(0.808418\pi\)
\(410\) 5.07355 6.61015i 0.250565 0.326452i
\(411\) 15.9571 38.5240i 0.787108 1.90025i
\(412\) −3.31367 + 0.886945i −0.163253 + 0.0436967i
\(413\) −8.29826 + 3.43725i −0.408331 + 0.169136i
\(414\) 25.4994 14.7175i 1.25323 0.723327i
\(415\) 33.6077 1.64974
\(416\) 5.60796 + 0.742115i 0.274953 + 0.0363852i
\(417\) −36.6369 −1.79411
\(418\) 8.61029 4.96962i 0.421143 0.243072i
\(419\) 4.25103 1.76084i 0.207677 0.0860224i −0.276420 0.961037i \(-0.589148\pi\)
0.484097 + 0.875014i \(0.339148\pi\)
\(420\) 5.64573 + 21.0927i 0.275483 + 1.02922i
\(421\) 13.0651 31.5420i 0.636755 1.53726i −0.194222 0.980958i \(-0.562218\pi\)
0.830977 0.556306i \(-0.187782\pi\)
\(422\) 2.61437 3.40617i 0.127266 0.165810i
\(423\) 50.1763 + 50.1763i 2.43966 + 2.43966i
\(424\) −31.0354 12.8699i −1.50721 0.625015i
\(425\) −0.870647 + 0.870647i −0.0422326 + 0.0422326i
\(426\) −1.86366 14.1705i −0.0902944 0.686563i
\(427\) 17.4408 + 7.22420i 0.844017 + 0.349603i
\(428\) 6.14646 4.71373i 0.297100 0.227847i
\(429\) −3.08332 7.44380i −0.148864 0.359390i
\(430\) −23.8710 6.39962i −1.15116 0.308617i
\(431\) 3.06380i 0.147578i 0.997274 + 0.0737891i \(0.0235092\pi\)
−0.997274 + 0.0737891i \(0.976491\pi\)
\(432\) 66.6945 8.74423i 3.20884 0.420707i
\(433\) 2.48584i 0.119462i −0.998215 0.0597309i \(-0.980976\pi\)
0.998215 0.0597309i \(-0.0190242\pi\)
\(434\) −0.328589 + 1.22566i −0.0157728 + 0.0588334i
\(435\) −18.4199 44.4696i −0.883168 2.13216i
\(436\) 0.405951 + 0.0535548i 0.0194415 + 0.00256481i
\(437\) 6.92571 + 2.86872i 0.331302 + 0.137230i
\(438\) −1.24769 + 0.164092i −0.0596171 + 0.00784063i
\(439\) −7.47987 + 7.47987i −0.356995 + 0.356995i −0.862704 0.505709i \(-0.831231\pi\)
0.505709 + 0.862704i \(0.331231\pi\)
\(440\) −10.6451 + 10.6366i −0.507484 + 0.507078i
\(441\) −27.1430 27.1430i −1.29252 1.29252i
\(442\) −7.73556 5.93735i −0.367943 0.282411i
\(443\) −0.376758 + 0.909574i −0.0179003 + 0.0432152i −0.932577 0.360971i \(-0.882445\pi\)
0.914677 + 0.404186i \(0.132445\pi\)
\(444\) 35.7426 + 20.6487i 1.69627 + 0.979945i
\(445\) 33.9897 14.0790i 1.61127 0.667408i
\(446\) 16.1924 + 28.0546i 0.766730 + 1.32843i
\(447\) −7.53477 −0.356382
\(448\) −8.45169 8.46525i −0.399305 0.399945i
\(449\) −37.9350 −1.79026 −0.895131 0.445804i \(-0.852918\pi\)
−0.895131 + 0.445804i \(0.852918\pi\)
\(450\) −1.01711 1.76224i −0.0479472 0.0830727i
\(451\) 6.00701 2.48818i 0.282859 0.117164i
\(452\) 24.9461 + 14.4116i 1.17337 + 0.677862i
\(453\) −15.1366 + 36.5430i −0.711180 + 1.71694i
\(454\) 28.8476 + 22.1417i 1.35389 + 1.03916i
\(455\) 2.32161 + 2.32161i 0.108839 + 0.108839i
\(456\) 19.2868 + 19.3022i 0.903186 + 0.903911i
\(457\) −1.37762 + 1.37762i −0.0644424 + 0.0644424i −0.738593 0.674151i \(-0.764510\pi\)
0.674151 + 0.738593i \(0.264510\pi\)
\(458\) −36.5335 + 4.80476i −1.70710 + 0.224512i
\(459\) −107.127 44.3736i −5.00028 2.07118i
\(460\) −11.2496 1.48410i −0.524517 0.0691967i
\(461\) 14.2980 + 34.5185i 0.665925 + 1.60769i 0.788364 + 0.615209i \(0.210928\pi\)
−0.122439 + 0.992476i \(0.539072\pi\)
\(462\) −4.41188 + 16.4566i −0.205259 + 0.765629i
\(463\) 7.49178i 0.348172i −0.984730 0.174086i \(-0.944303\pi\)
0.984730 0.174086i \(-0.0556971\pi\)
\(464\) 20.9116 + 16.0638i 0.970795 + 0.745742i
\(465\) 4.38146i 0.203185i
\(466\) 30.8306 + 8.26545i 1.42820 + 0.382889i
\(467\) 6.61649 + 15.9736i 0.306174 + 0.739171i 0.999822 + 0.0188561i \(0.00600245\pi\)
−0.693648 + 0.720314i \(0.743998\pi\)
\(468\) 12.7870 9.80638i 0.591079 0.453300i
\(469\) −4.43744 1.83805i −0.204902 0.0848732i
\(470\) −3.56608 27.1150i −0.164491 1.25072i
\(471\) 3.29293 3.29293i 0.151730 0.151730i
\(472\) 6.50818 15.6943i 0.299563 0.722391i
\(473\) −13.6358 13.6358i −0.626975 0.626975i
\(474\) −15.5666 + 20.2812i −0.714998 + 0.931545i
\(475\) 0.198255 0.478629i 0.00909655 0.0219610i
\(476\) 5.33168 + 19.9194i 0.244377 + 0.913005i
\(477\) −88.4234 + 36.6262i −4.04863 + 1.67700i
\(478\) 15.1822 8.76273i 0.694417 0.400798i
\(479\) 16.9849 0.776062 0.388031 0.921646i \(-0.373155\pi\)
0.388031 + 0.921646i \(0.373155\pi\)
\(480\) −35.7559 20.6756i −1.63203 0.943706i
\(481\) 6.20683 0.283007
\(482\) −12.4530 + 7.18754i −0.567220 + 0.327384i
\(483\) −11.8692 + 4.91639i −0.540068 + 0.223703i
\(484\) 9.90913 2.65231i 0.450415 0.120559i
\(485\) −3.49389 + 8.43500i −0.158649 + 0.383013i
\(486\) 47.4587 61.8322i 2.15277 2.80477i
\(487\) −9.26893 9.26893i −0.420015 0.420015i 0.465194 0.885209i \(-0.345985\pi\)
−0.885209 + 0.465194i \(0.845985\pi\)
\(488\) −32.9963 + 13.6520i −1.49367 + 0.617998i
\(489\) 9.78582 9.78582i 0.442530 0.442530i
\(490\) 1.92908 + 14.6679i 0.0871468 + 0.662630i
\(491\) −6.57871 2.72499i −0.296893 0.122977i 0.229265 0.973364i \(-0.426368\pi\)
−0.526158 + 0.850387i \(0.676368\pi\)
\(492\) 10.8601 + 14.1610i 0.489611 + 0.638427i
\(493\) −17.3953 41.9960i −0.783446 1.89141i
\(494\) 3.96301 + 1.06245i 0.178304 + 0.0478020i
\(495\) 42.8675i 1.92675i
\(496\) −1.19905 2.07938i −0.0538388 0.0933667i
\(497\) 4.54453i 0.203850i
\(498\) −18.6381 + 69.5211i −0.835192 + 3.11531i
\(499\) 4.21154 + 10.1675i 0.188534 + 0.455162i 0.989678 0.143310i \(-0.0457747\pi\)
−0.801144 + 0.598472i \(0.795775\pi\)
\(500\) −2.97445 + 22.5466i −0.133021 + 1.00831i
\(501\) 65.0375 + 26.9394i 2.90566 + 1.20356i
\(502\) 25.5392 3.35883i 1.13987 0.149912i
\(503\) 12.5177 12.5177i 0.558136 0.558136i −0.370640 0.928777i \(-0.620862\pi\)
0.928777 + 0.370640i \(0.120862\pi\)
\(504\) −34.0757 0.0136608i −1.51785 0.000608502i
\(505\) 20.0101 + 20.0101i 0.890439 + 0.890439i
\(506\) −7.02363 5.39091i −0.312238 0.239655i
\(507\) 1.27251 3.07212i 0.0565142 0.136437i
\(508\) 0.941060 1.62896i 0.0417528 0.0722733i
\(509\) 7.38534 3.05911i 0.327349 0.135593i −0.212955 0.977062i \(-0.568309\pi\)
0.540305 + 0.841469i \(0.318309\pi\)
\(510\) 35.5918 + 61.6658i 1.57603 + 2.73061i
\(511\) 0.400139 0.0177011
\(512\) 22.6274 + 0.0272137i 0.999999 + 0.00120269i
\(513\) 48.7879 2.15404
\(514\) −3.36838 5.83601i −0.148573 0.257415i
\(515\) 3.47942 1.44122i 0.153322 0.0635079i
\(516\) 26.4766 45.8305i 1.16557 2.01757i
\(517\) 8.16634 19.7153i 0.359155 0.867077i
\(518\) −10.4118 7.99143i −0.457466 0.351123i
\(519\) 3.39077 + 3.39077i 0.148838 + 0.148838i
\(520\) −6.21059 0.00248980i −0.272352 0.000109185i
\(521\) −13.4672 + 13.4672i −0.590007 + 0.590007i −0.937633 0.347626i \(-0.886988\pi\)
0.347626 + 0.937633i \(0.386988\pi\)
\(522\) 74.4753 9.79474i 3.25970 0.428704i
\(523\) 30.8988 + 12.7987i 1.35111 + 0.559649i 0.936601 0.350396i \(-0.113953\pi\)
0.414510 + 0.910045i \(0.363953\pi\)
\(524\) 1.82100 13.8034i 0.0795508 0.603003i
\(525\) 0.339767 + 0.820270i 0.0148286 + 0.0357995i
\(526\) −8.88853 + 33.1547i −0.387558 + 1.44561i
\(527\) 4.13774i 0.180243i
\(528\) −16.0993 27.9192i −0.700632 1.21503i
\(529\) 16.3237i 0.709727i
\(530\) 35.6287 + 9.55179i 1.54761 + 0.414903i
\(531\) −18.5216 44.7150i −0.803768 1.94047i
\(532\) −5.27988 6.88469i −0.228912 0.298489i
\(533\) 2.47914 + 1.02689i 0.107384 + 0.0444797i
\(534\) 10.2740 + 78.1191i 0.444597 + 3.38054i
\(535\) −6.01329 + 6.01329i −0.259977 + 0.259977i
\(536\) 8.39523 3.47348i 0.362619 0.150031i
\(537\) 23.9246 + 23.9246i 1.03242 + 1.03242i
\(538\) −8.50788 + 11.0846i −0.366801 + 0.477892i
\(539\) −4.41760 + 10.6650i −0.190279 + 0.459375i
\(540\) −71.3384 + 19.0946i −3.06992 + 0.821703i
\(541\) 6.73799 2.79097i 0.289689 0.119993i −0.233107 0.972451i \(-0.574889\pi\)
0.522795 + 0.852458i \(0.324889\pi\)
\(542\) −7.86935 + 4.54197i −0.338018 + 0.195094i
\(543\) −10.5865 −0.454311
\(544\) −33.7670 19.5255i −1.44775 0.837148i
\(545\) −0.449550 −0.0192566
\(546\) −6.09001 + 3.51499i −0.260628 + 0.150427i
\(547\) 5.92902 2.45588i 0.253506 0.105006i −0.252311 0.967646i \(-0.581191\pi\)
0.505818 + 0.862640i \(0.331191\pi\)
\(548\) −6.48465 24.2269i −0.277010 1.03492i
\(549\) −38.9274 + 93.9791i −1.66138 + 4.01093i
\(550\) −0.372561 + 0.485396i −0.0158860 + 0.0206974i
\(551\) 13.5240 + 13.5240i 0.576141 + 0.576141i
\(552\) 9.30882 22.4480i 0.396210 0.955451i
\(553\) 5.74825 5.74825i 0.244441 0.244441i
\(554\) −2.18109 16.5841i −0.0926654 0.704591i
\(555\) −41.8693 17.3428i −1.77725 0.736162i
\(556\) −17.4856 + 13.4098i −0.741557 + 0.568702i
\(557\) −5.76747 13.9239i −0.244376 0.589975i 0.753332 0.657640i \(-0.228445\pi\)
−0.997708 + 0.0676649i \(0.978445\pi\)
\(558\) −6.60442 1.77059i −0.279587 0.0749553i
\(559\) 7.95864i 0.336614i
\(560\) 10.4149 + 8.00045i 0.440108 + 0.338081i
\(561\) 55.5564i 2.34559i
\(562\) 6.41679 23.9350i 0.270676 1.00964i
\(563\) −0.808658 1.95227i −0.0340809 0.0822785i 0.905923 0.423443i \(-0.139179\pi\)
−0.940004 + 0.341165i \(0.889179\pi\)
\(564\) 58.0679 + 7.66058i 2.44510 + 0.322569i
\(565\) −29.2222 12.1042i −1.22939 0.509229i
\(566\) 27.5887 3.62837i 1.15964 0.152512i
\(567\) −33.5660 + 33.5660i −1.40964 + 1.40964i
\(568\) −6.07614 6.08101i −0.254949 0.255154i
\(569\) 12.1946 + 12.1946i 0.511225 + 0.511225i 0.914902 0.403677i \(-0.132268\pi\)
−0.403677 + 0.914902i \(0.632268\pi\)
\(570\) −23.7645 18.2402i −0.995386 0.763998i
\(571\) 3.38345 8.16836i 0.141593 0.341835i −0.837136 0.546995i \(-0.815772\pi\)
0.978728 + 0.205160i \(0.0657715\pi\)
\(572\) −4.19615 2.42414i −0.175450 0.101358i
\(573\) 60.6365 25.1165i 2.53313 1.04926i
\(574\) −2.83653 4.91453i −0.118394 0.205128i
\(575\) −0.461392 −0.0192414
\(576\) 45.6148 45.5417i 1.90062 1.89757i
\(577\) −16.6499 −0.693144 −0.346572 0.938023i \(-0.612654\pi\)
−0.346572 + 0.938023i \(0.612654\pi\)
\(578\) 21.5939 + 37.4133i 0.898189 + 1.55619i
\(579\) −21.5438 + 8.92372i −0.895328 + 0.370857i
\(580\) −25.0680 14.4820i −1.04089 0.601330i
\(581\) 8.75805 21.1438i 0.363345 0.877193i
\(582\) −15.5110 11.9053i −0.642953 0.493492i
\(583\) 20.3522 + 20.3522i 0.842901 + 0.842901i
\(584\) −0.535425 + 0.534996i −0.0221560 + 0.0221383i
\(585\) −12.5100 + 12.5100i −0.517223 + 0.517223i
\(586\) 6.73417 0.885654i 0.278186 0.0365860i
\(587\) 20.1309 + 8.33850i 0.830892 + 0.344167i 0.757256 0.653118i \(-0.226540\pi\)
0.0736362 + 0.997285i \(0.476540\pi\)
\(588\) −31.4120 4.14400i −1.29541 0.170896i
\(589\) −0.666238 1.60844i −0.0274519 0.0662747i
\(590\) −4.83026 + 18.0172i −0.198859 + 0.741755i
\(591\) 28.3726i 1.16709i
\(592\) 24.6166 3.22746i 1.01174 0.132648i
\(593\) 33.8758i 1.39111i −0.718472 0.695556i \(-0.755158\pi\)
0.718472 0.695556i \(-0.244842\pi\)
\(594\) −55.6584 14.9216i −2.28369 0.612241i
\(595\) −8.66362 20.9158i −0.355174 0.857465i
\(596\) −3.59611 + 2.75787i −0.147303 + 0.112967i
\(597\) −49.7933 20.6250i −2.03790 0.844127i
\(598\) −0.476474 3.62292i −0.0194845 0.148152i
\(599\) 23.9653 23.9653i 0.979195 0.979195i −0.0205931 0.999788i \(-0.506555\pi\)
0.999788 + 0.0205931i \(0.00655546\pi\)
\(600\) −1.55136 0.643323i −0.0633340 0.0262636i
\(601\) 10.5169 + 10.5169i 0.428994 + 0.428994i 0.888285 0.459292i \(-0.151897\pi\)
−0.459292 + 0.888285i \(0.651897\pi\)
\(602\) −10.2469 + 13.3504i −0.417633 + 0.544120i
\(603\) 9.90428 23.9111i 0.403334 0.973734i
\(604\) 6.15119 + 22.9811i 0.250289 + 0.935089i
\(605\) −10.4048 + 4.30981i −0.423016 + 0.175219i
\(606\) −52.4902 + 30.2959i −2.13227 + 1.23069i
\(607\) −22.4386 −0.910754 −0.455377 0.890299i \(-0.650496\pi\)
−0.455377 + 0.890299i \(0.650496\pi\)
\(608\) 16.2700 + 2.15304i 0.659835 + 0.0873174i
\(609\) −32.7776 −1.32822
\(610\) 33.9547 19.5977i 1.37479 0.793488i
\(611\) 8.13666 3.37032i 0.329174 0.136348i
\(612\) −107.335 + 28.7297i −4.33877 + 1.16133i
\(613\) −3.12528 + 7.54510i −0.126229 + 0.304744i −0.974342 0.225071i \(-0.927739\pi\)
0.848113 + 0.529815i \(0.177739\pi\)
\(614\) −11.8099 + 15.3867i −0.476610 + 0.620958i
\(615\) −13.8542 13.8542i −0.558655 0.558655i
\(616\) 3.91776 + 9.46905i 0.157851 + 0.381519i
\(617\) 17.9078 17.9078i 0.720942 0.720942i −0.247855 0.968797i \(-0.579726\pi\)
0.968797 + 0.247855i \(0.0797256\pi\)
\(618\) 1.05171 + 7.99682i 0.0423062 + 0.321679i
\(619\) −12.9299 5.35573i −0.519695 0.215265i 0.107388 0.994217i \(-0.465751\pi\)
−0.627083 + 0.778952i \(0.715751\pi\)
\(620\) 1.60370 + 2.09114i 0.0644060 + 0.0839820i
\(621\) −16.6279 40.1433i −0.667255 1.61090i
\(622\) 14.7005 + 3.94110i 0.589438 + 0.158024i
\(623\) 25.0531i 1.00373i
\(624\) 3.44940 12.8459i 0.138087 0.514247i
\(625\) 24.0753i 0.963011i
\(626\) −4.01406 + 14.9727i −0.160434 + 0.598429i
\(627\) −8.94541 21.5961i −0.357245 0.862467i
\(628\) 0.366339 2.77689i 0.0146185 0.110810i
\(629\) −39.5403 16.3781i −1.57657 0.653039i
\(630\) 37.0919 4.87820i 1.47778 0.194352i
\(631\) −17.8488 + 17.8488i −0.710551 + 0.710551i −0.966650 0.256099i \(-0.917563\pi\)
0.256099 + 0.966650i \(0.417563\pi\)
\(632\) −0.00616469 + 15.3773i −0.000245218 + 0.611674i
\(633\) −7.13899 7.13899i −0.283750 0.283750i
\(634\) 23.3008 + 17.8843i 0.925394 + 0.710277i
\(635\) −0.790395 + 1.90818i −0.0313659 + 0.0757239i
\(636\) −39.5177 + 68.4045i −1.56698 + 2.71241i
\(637\) −4.40154 + 1.82318i −0.174395 + 0.0722370i
\(638\) −11.2922 19.5647i −0.447063 0.774576i
\(639\) −24.4881 −0.968734
\(640\) −24.6329 + 3.21954i −0.973699 + 0.127263i
\(641\) 1.73963 0.0687112 0.0343556 0.999410i \(-0.489062\pi\)
0.0343556 + 0.999410i \(0.489062\pi\)
\(642\) −9.10429 15.7740i −0.359318 0.622548i
\(643\) −35.8108 + 14.8333i −1.41224 + 0.584969i −0.952898 0.303291i \(-0.901915\pi\)
−0.459341 + 0.888260i \(0.651915\pi\)
\(644\) −3.86532 + 6.69080i −0.152315 + 0.263654i
\(645\) −22.2376 + 53.6864i −0.875606 + 2.11390i
\(646\) −22.4426 17.2256i −0.882993 0.677732i
\(647\) −10.5161 10.5161i −0.413429 0.413429i 0.469502 0.882931i \(-0.344433\pi\)
−0.882931 + 0.469502i \(0.844433\pi\)
\(648\) 0.0359977 89.7930i 0.00141412 3.52740i
\(649\) −10.2919 + 10.2919i −0.403994 + 0.403994i
\(650\) −0.250376 + 0.0329287i −0.00982057 + 0.00129157i
\(651\) 2.75653 + 1.14179i 0.108037 + 0.0447504i
\(652\) 1.08868 8.25227i 0.0426358 0.323184i
\(653\) 17.9960 + 43.4462i 0.704238 + 1.70018i 0.713919 + 0.700228i \(0.246919\pi\)
−0.00968055 + 0.999953i \(0.503081\pi\)
\(654\) 0.249310 0.929941i 0.00974880 0.0363636i
\(655\) 15.2859i 0.597268i
\(656\) 10.3664 + 2.78360i 0.404739 + 0.108682i
\(657\) 2.15614i 0.0841191i
\(658\) −17.9883 4.82254i −0.701258 0.188002i
\(659\) 15.4907 + 37.3978i 0.603430 + 1.45681i 0.870028 + 0.493002i \(0.164100\pi\)
−0.266598 + 0.963808i \(0.585900\pi\)
\(660\) 21.5324 + 28.0771i 0.838149 + 1.09290i
\(661\) −2.78800 1.15483i −0.108441 0.0449176i 0.327803 0.944746i \(-0.393692\pi\)
−0.436244 + 0.899828i \(0.643692\pi\)
\(662\) 2.12378 + 16.1484i 0.0825432 + 0.627626i
\(663\) −16.2129 + 16.2129i −0.629659 + 0.629659i
\(664\) 16.5507 + 40.0022i 0.642290 + 1.55238i
\(665\) 6.73553 + 6.73553i 0.261193 + 0.261193i
\(666\) 43.0616 56.1035i 1.66860 2.17397i
\(667\) 6.51846 15.7370i 0.252396 0.609338i
\(668\) 40.9007 10.9476i 1.58250 0.423576i
\(669\) 70.3660 29.1466i 2.72051 1.12687i
\(670\) −8.63908 + 4.98624i −0.333757 + 0.192635i
\(671\) 30.5907 1.18094
\(672\) −22.3256 + 17.1074i −0.861229 + 0.659930i
\(673\) −30.3119 −1.16844 −0.584218 0.811597i \(-0.698599\pi\)
−0.584218 + 0.811597i \(0.698599\pi\)
\(674\) −37.9162 + 21.8842i −1.46048 + 0.842946i
\(675\) −2.77427 + 1.14914i −0.106782 + 0.0442304i
\(676\) −0.517122 1.93199i −0.0198893 0.0743073i
\(677\) 4.83251 11.6667i 0.185728 0.448388i −0.803401 0.595439i \(-0.796978\pi\)
0.989129 + 0.147051i \(0.0469782\pi\)
\(678\) 41.2448 53.7365i 1.58400 2.06374i
\(679\) 4.39626 + 4.39626i 0.168713 + 0.168713i
\(680\) 39.5577 + 16.4039i 1.51697 + 0.629061i
\(681\) 60.4617 60.4617i 2.31690 2.31690i
\(682\) 0.268125 + 2.03871i 0.0102670 + 0.0780664i
\(683\) −3.35397 1.38926i −0.128336 0.0531586i 0.317591 0.948228i \(-0.397126\pi\)
−0.445927 + 0.895069i \(0.647126\pi\)
\(684\) 37.0980 28.4505i 1.41848 1.08783i
\(685\) 10.5371 + 25.4388i 0.402602 + 0.971967i
\(686\) 24.0283 + 6.44179i 0.917403 + 0.245949i
\(687\) 86.6408i 3.30555i
\(688\) −4.13837 31.5644i −0.157774 1.20338i
\(689\) 11.8787i 0.452542i
\(690\) −6.90885 + 25.7704i −0.263015 + 0.981062i
\(691\) 5.86712 + 14.1645i 0.223196 + 0.538842i 0.995321 0.0966286i \(-0.0308059\pi\)
−0.772125 + 0.635471i \(0.780806\pi\)
\(692\) 2.85940 + 0.377224i 0.108698 + 0.0143399i
\(693\) 26.9695 + 11.1711i 1.02449 + 0.424356i
\(694\) −50.7170 + 6.67013i −1.92519 + 0.253195i
\(695\) 17.1068 17.1068i 0.648898 0.648898i
\(696\) 43.8596 43.8244i 1.66249 1.66116i
\(697\) −13.0836 13.0836i −0.495575 0.495575i
\(698\) 0.704031 + 0.540372i 0.0266480 + 0.0204534i
\(699\) 28.7211 69.3388i 1.08633 2.62263i
\(700\) 0.462395 + 0.267128i 0.0174769 + 0.0100965i
\(701\) −31.5208 + 13.0563i −1.19052 + 0.493131i −0.887925 0.459988i \(-0.847854\pi\)
−0.302598 + 0.953118i \(0.597854\pi\)
\(702\) −11.8882 20.5973i −0.448690 0.777394i
\(703\) 18.0074 0.679163
\(704\) −17.9027 7.43235i −0.674732 0.280117i
\(705\) −64.3045 −2.42185
\(706\) −9.33718 16.1775i −0.351409 0.608847i
\(707\) 17.8036 7.37451i 0.669575 0.277347i
\(708\) −34.5916 19.9838i −1.30003 0.751038i
\(709\) 10.5222 25.4028i 0.395169 0.954023i −0.593625 0.804742i \(-0.702304\pi\)
0.988795 0.149282i \(-0.0476961\pi\)
\(710\) 7.48682 + 5.74643i 0.280975 + 0.215660i
\(711\) 30.9743 + 30.9743i 1.16163 + 1.16163i
\(712\) 33.4965 + 33.5234i 1.25533 + 1.25634i
\(713\) −1.09638 + 1.09638i −0.0410597 + 0.0410597i
\(714\) 48.0712 6.32216i 1.79902 0.236601i
\(715\) 4.91542 + 2.03603i 0.183826 + 0.0761433i
\(716\) 20.1754 + 2.66162i 0.753989 + 0.0994695i
\(717\) −15.7731 38.0796i −0.589057 1.42211i
\(718\) −8.32068 + 31.0366i −0.310525 + 1.15828i
\(719\) 14.6114i 0.544915i −0.962168 0.272457i \(-0.912164\pi\)
0.962168 0.272457i \(-0.0878364\pi\)
\(720\) −43.1103 + 56.1202i −1.60662 + 2.09148i
\(721\) 2.56461i 0.0955110i
\(722\) −14.4560 3.87554i −0.537995 0.144233i
\(723\) 12.9377 + 31.2344i 0.481159 + 1.16162i
\(724\) −5.05262 + 3.87487i −0.187779 + 0.144008i
\(725\) −1.08757 0.450485i −0.0403912 0.0167306i
\(726\) −3.14503 23.9136i −0.116723 0.887515i
\(727\) −2.11505 + 2.11505i −0.0784430 + 0.0784430i −0.745240 0.666797i \(-0.767665\pi\)
0.666797 + 0.745240i \(0.267665\pi\)
\(728\) −1.62002 + 3.90666i −0.0600421 + 0.144790i
\(729\) −62.2493 62.2493i −2.30553 2.30553i
\(730\) 0.505965 0.659204i 0.0187266 0.0243982i
\(731\) −21.0007 + 50.7001i −0.776738 + 1.87521i
\(732\) 21.7094 + 81.1073i 0.802403 + 2.99781i
\(733\) 12.5481 5.19758i 0.463473 0.191977i −0.138713 0.990333i \(-0.544297\pi\)
0.602186 + 0.798356i \(0.294297\pi\)
\(734\) −2.86516 + 1.65369i −0.105755 + 0.0610388i
\(735\) 34.7856 1.28309
\(736\) −3.77359 14.1210i −0.139096 0.520505i
\(737\) −7.78318 −0.286697
\(738\) 26.4818 15.2846i 0.974810 0.562633i
\(739\) 15.9988 6.62693i 0.588526 0.243776i −0.0684902 0.997652i \(-0.521818\pi\)
0.657016 + 0.753876i \(0.271818\pi\)
\(740\) −26.3307 + 7.04775i −0.967936 + 0.259081i
\(741\) 3.69185 8.91290i 0.135623 0.327424i
\(742\) 15.2941 19.9261i 0.561463 0.731511i
\(743\) 7.33572 + 7.33572i 0.269121 + 0.269121i 0.828746 0.559625i \(-0.189055\pi\)
−0.559625 + 0.828746i \(0.689055\pi\)
\(744\) −5.21510 + 2.15772i −0.191195 + 0.0791058i
\(745\) 3.51820 3.51820i 0.128897 0.128897i
\(746\) −0.157954 1.20102i −0.00578312 0.0439726i
\(747\) 113.933 + 47.1926i 4.16859 + 1.72669i
\(748\) 20.3347 + 26.5153i 0.743510 + 0.969497i
\(749\) 2.21613 + 5.35022i 0.0809757 + 0.195493i
\(750\) 51.6491 + 13.8467i 1.88596 + 0.505612i
\(751\) 8.72743i 0.318468i 0.987241 + 0.159234i \(0.0509025\pi\)
−0.987241 + 0.159234i \(0.949097\pi\)
\(752\) 30.5180 17.5978i 1.11288 0.641726i
\(753\) 60.5674i 2.20720i
\(754\) 2.41416 9.00495i 0.0879185 0.327941i
\(755\) −9.99527 24.1307i −0.363765 0.878206i
\(756\) −6.57743 + 49.8575i −0.239219 + 1.81330i
\(757\) −20.8782 8.64802i −0.758830 0.314318i −0.0304912 0.999535i \(-0.509707\pi\)
−0.728339 + 0.685218i \(0.759707\pi\)
\(758\) −28.3169 + 3.72414i −1.02852 + 0.135267i
\(759\) −14.7208 + 14.7208i −0.534332 + 0.534332i
\(760\) −18.0183 0.00722349i −0.653594 0.000262023i
\(761\) 11.8333 + 11.8333i 0.428956 + 0.428956i 0.888273 0.459317i \(-0.151906\pi\)
−0.459317 + 0.888273i \(0.651906\pi\)
\(762\) −3.50894 2.69325i −0.127115 0.0975661i
\(763\) −0.117151 + 0.282828i −0.00424116 + 0.0102391i
\(764\) 19.7468 34.1814i 0.714416 1.23664i
\(765\) 112.704 46.6837i 4.07484 1.68785i
\(766\) 0.123055 + 0.213204i 0.00444617 + 0.00770338i
\(767\) −6.00696 −0.216899
\(768\) 7.00087 52.7411i 0.252622 1.90313i
\(769\) 19.7272 0.711380 0.355690 0.934604i \(-0.384246\pi\)
0.355690 + 0.934604i \(0.384246\pi\)
\(770\)