Properties

Label 304.2.x.c.27.14
Level $304$
Weight $2$
Character 304.27
Analytic conductor $2.427$
Analytic rank $0$
Dimension $144$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [304,2,Mod(27,304)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(304, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 3, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("304.27");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 304 = 2^{4} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 304.x (of order \(12\), 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: \(2.42745222145\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(36\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 27.14
Character \(\chi\) \(=\) 304.27
Dual form 304.2.x.c.259.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.542428 - 1.30605i) q^{2} +(-0.844169 - 3.15048i) q^{3} +(-1.41154 + 1.41688i) q^{4} +(-3.53813 + 0.948038i) q^{5} +(-3.65679 + 2.81144i) q^{6} +2.14351 q^{7} +(2.61618 + 1.07500i) q^{8} +(-6.61483 + 3.81907i) q^{9} +O(q^{10})\) \(q+(-0.542428 - 1.30605i) q^{2} +(-0.844169 - 3.15048i) q^{3} +(-1.41154 + 1.41688i) q^{4} +(-3.53813 + 0.948038i) q^{5} +(-3.65679 + 2.81144i) q^{6} +2.14351 q^{7} +(2.61618 + 1.07500i) q^{8} +(-6.61483 + 3.81907i) q^{9} +(3.15737 + 4.10674i) q^{10} +(-0.139922 + 0.139922i) q^{11} +(5.65543 + 3.25096i) q^{12} +(1.17494 - 4.38493i) q^{13} +(-1.16270 - 2.79953i) q^{14} +(5.97355 + 10.3465i) q^{15} +(-0.0150829 - 3.99997i) q^{16} +(-2.66486 + 4.61567i) q^{17} +(8.57597 + 6.56774i) q^{18} +(-4.18675 + 1.21291i) q^{19} +(3.65097 - 6.35129i) q^{20} +(-1.80948 - 6.75307i) q^{21} +(0.258644 + 0.106848i) q^{22} +(-1.10903 - 1.92090i) q^{23} +(1.17827 - 9.14969i) q^{24} +(7.28944 - 4.20856i) q^{25} +(-6.36426 + 0.843975i) q^{26} +(10.6970 + 10.6970i) q^{27} +(-3.02565 + 3.03708i) q^{28} +(-0.437835 + 1.63402i) q^{29} +(10.2728 - 13.4140i) q^{30} -1.42683 q^{31} +(-5.21599 + 2.18939i) q^{32} +(0.558941 + 0.322705i) q^{33} +(7.47380 + 0.976778i) q^{34} +(-7.58399 + 2.03213i) q^{35} +(3.92597 - 14.7632i) q^{36} +(1.34861 - 1.34861i) q^{37} +(3.85513 + 4.81020i) q^{38} -14.8065 q^{39} +(-10.2755 - 1.32324i) q^{40} +(-2.88779 + 5.00180i) q^{41} +(-7.83835 + 6.02633i) q^{42} +(1.75925 + 6.56560i) q^{43} +(-0.000746155 - 0.395760i) q^{44} +(19.7835 - 19.7835i) q^{45} +(-1.90723 + 2.49040i) q^{46} +(-2.52217 + 1.45617i) q^{47} +(-12.5891 + 3.42417i) q^{48} -2.40539 q^{49} +(-9.45060 - 7.23755i) q^{50} +(16.7912 + 4.49918i) q^{51} +(4.55443 + 7.85426i) q^{52} +(-5.83243 - 1.56280i) q^{53} +(8.16850 - 19.7732i) q^{54} +(0.362412 - 0.627715i) q^{55} +(5.60779 + 2.30426i) q^{56} +(7.35556 + 12.1664i) q^{57} +(2.37161 - 0.314503i) q^{58} +(-4.45159 + 1.19280i) q^{59} +(-23.0917 - 6.14075i) q^{60} +(-10.6004 - 2.84038i) q^{61} +(0.773954 + 1.86352i) q^{62} +(-14.1789 + 8.18620i) q^{63} +(5.68876 + 5.62477i) q^{64} +16.6283i q^{65} +(0.118284 - 0.905050i) q^{66} +(-4.27098 - 1.14441i) q^{67} +(-2.77827 - 10.2910i) q^{68} +(-5.11555 + 5.11555i) q^{69} +(6.76783 + 8.80281i) q^{70} +(7.12548 + 4.11390i) q^{71} +(-21.4111 + 2.88044i) q^{72} +(-4.11502 - 2.37581i) q^{73} +(-2.49288 - 1.02983i) q^{74} +(-19.4125 - 19.4125i) q^{75} +(4.19124 - 7.64418i) q^{76} +(-0.299924 + 0.299924i) q^{77} +(8.03144 + 19.3380i) q^{78} +(6.36646 - 11.0270i) q^{79} +(3.84549 + 14.1381i) q^{80} +(13.2134 - 22.8863i) q^{81} +(8.09902 + 1.05849i) q^{82} +(-2.21409 - 2.21409i) q^{83} +(12.1224 + 6.96845i) q^{84} +(5.05278 - 18.8572i) q^{85} +(7.62075 - 5.85903i) q^{86} +5.51756 q^{87} +(-0.516478 + 0.215645i) q^{88} +(-7.09153 - 12.2829i) q^{89} +(-36.5694 - 15.1072i) q^{90} +(2.51848 - 9.39911i) q^{91} +(4.28713 + 1.14007i) q^{92} +(1.20449 + 4.49521i) q^{93} +(3.26993 + 2.50421i) q^{94} +(13.6634 - 8.26062i) q^{95} +(11.3008 + 14.5847i) q^{96} +(-5.61324 - 3.24080i) q^{97} +(1.30475 + 3.14156i) q^{98} +(0.391189 - 1.45994i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 6 q^{2} - 12 q^{3} - 2 q^{4} + 2 q^{5} - 2 q^{6} - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 6 q^{2} - 12 q^{3} - 2 q^{4} + 2 q^{5} - 2 q^{6} - 8 q^{7} + 24 q^{10} - 28 q^{11} + 6 q^{13} - 6 q^{14} - 14 q^{16} - 4 q^{17} - 10 q^{19} + 4 q^{20} - 12 q^{21} + 6 q^{22} - 28 q^{23} - 2 q^{24} + 76 q^{26} - 30 q^{28} - 6 q^{29} - 64 q^{30} - 36 q^{32} - 36 q^{33} + 48 q^{34} - 40 q^{35} + 6 q^{36} - 66 q^{38} + 24 q^{39} + 24 q^{40} + 6 q^{42} - 26 q^{43} - 16 q^{44} - 8 q^{45} - 30 q^{48} + 112 q^{49} - 18 q^{51} + 66 q^{52} - 30 q^{53} + 16 q^{54} + 16 q^{55} + 12 q^{58} - 24 q^{59} - 72 q^{60} - 26 q^{61} - 46 q^{62} + 52 q^{64} + 38 q^{66} - 12 q^{67} + 24 q^{68} - 120 q^{70} - 24 q^{71} + 6 q^{72} - 10 q^{74} - 38 q^{76} - 56 q^{77} + 90 q^{78} - 66 q^{80} + 48 q^{81} - 22 q^{82} - 92 q^{83} + 2 q^{85} - 30 q^{86} + 120 q^{87} - 138 q^{90} - 84 q^{91} + 2 q^{92} + 192 q^{96} + 60 q^{97} - 42 q^{98} - 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/304\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(191\) \(229\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.542428 1.30605i −0.383554 0.923518i
\(3\) −0.844169 3.15048i −0.487381 1.81893i −0.569091 0.822275i \(-0.692705\pi\)
0.0817101 0.996656i \(-0.473962\pi\)
\(4\) −1.41154 + 1.41688i −0.705772 + 0.708439i
\(5\) −3.53813 + 0.948038i −1.58230 + 0.423976i −0.939637 0.342174i \(-0.888837\pi\)
−0.642662 + 0.766150i \(0.722170\pi\)
\(6\) −3.65679 + 2.81144i −1.49288 + 1.14776i
\(7\) 2.14351 0.810169 0.405084 0.914279i \(-0.367242\pi\)
0.405084 + 0.914279i \(0.367242\pi\)
\(8\) 2.61618 + 1.07500i 0.924958 + 0.380069i
\(9\) −6.61483 + 3.81907i −2.20494 + 1.27302i
\(10\) 3.15737 + 4.10674i 0.998447 + 1.29866i
\(11\) −0.139922 + 0.139922i −0.0421882 + 0.0421882i −0.727886 0.685698i \(-0.759497\pi\)
0.685698 + 0.727886i \(0.259497\pi\)
\(12\) 5.65543 + 3.25096i 1.63258 + 0.938471i
\(13\) 1.17494 4.38493i 0.325869 1.21616i −0.587566 0.809176i \(-0.699914\pi\)
0.913435 0.406984i \(-0.133419\pi\)
\(14\) −1.16270 2.79953i −0.310744 0.748206i
\(15\) 5.97355 + 10.3465i 1.54236 + 2.67145i
\(16\) −0.0150829 3.99997i −0.00377074 0.999993i
\(17\) −2.66486 + 4.61567i −0.646323 + 1.11946i 0.337671 + 0.941264i \(0.390361\pi\)
−0.983994 + 0.178200i \(0.942972\pi\)
\(18\) 8.57597 + 6.56774i 2.02138 + 1.54803i
\(19\) −4.18675 + 1.21291i −0.960506 + 0.278260i
\(20\) 3.65097 6.35129i 0.816382 1.42019i
\(21\) −1.80948 6.75307i −0.394861 1.47364i
\(22\) 0.258644 + 0.106848i 0.0551430 + 0.0227801i
\(23\) −1.10903 1.92090i −0.231249 0.400535i 0.726927 0.686715i \(-0.240948\pi\)
−0.958176 + 0.286180i \(0.907615\pi\)
\(24\) 1.17827 9.14969i 0.240512 1.86767i
\(25\) 7.28944 4.20856i 1.45789 0.841713i
\(26\) −6.36426 + 0.843975i −1.24813 + 0.165517i
\(27\) 10.6970 + 10.6970i 2.05864 + 2.05864i
\(28\) −3.02565 + 3.03708i −0.571795 + 0.573955i
\(29\) −0.437835 + 1.63402i −0.0813039 + 0.303430i −0.994589 0.103891i \(-0.966871\pi\)
0.913285 + 0.407322i \(0.133537\pi\)
\(30\) 10.2728 13.4140i 1.87556 2.44905i
\(31\) −1.42683 −0.256267 −0.128133 0.991757i \(-0.540899\pi\)
−0.128133 + 0.991757i \(0.540899\pi\)
\(32\) −5.21599 + 2.18939i −0.922066 + 0.387034i
\(33\) 0.558941 + 0.322705i 0.0972991 + 0.0561757i
\(34\) 7.47380 + 0.976778i 1.28175 + 0.167516i
\(35\) −7.58399 + 2.03213i −1.28193 + 0.343492i
\(36\) 3.92597 14.7632i 0.654328 2.46053i
\(37\) 1.34861 1.34861i 0.221710 0.221710i −0.587508 0.809218i \(-0.699891\pi\)
0.809218 + 0.587508i \(0.199891\pi\)
\(38\) 3.85513 + 4.81020i 0.625384 + 0.780317i
\(39\) −14.8065 −2.37093
\(40\) −10.2755 1.32324i −1.62470 0.209223i
\(41\) −2.88779 + 5.00180i −0.450997 + 0.781149i −0.998448 0.0556882i \(-0.982265\pi\)
0.547451 + 0.836837i \(0.315598\pi\)
\(42\) −7.83835 + 6.02633i −1.20948 + 0.929882i
\(43\) 1.75925 + 6.56560i 0.268283 + 1.00124i 0.960210 + 0.279278i \(0.0900951\pi\)
−0.691928 + 0.721967i \(0.743238\pi\)
\(44\) −0.000746155 0.395760i −0.000112487 0.0596630i
\(45\) 19.7835 19.7835i 2.94915 2.94915i
\(46\) −1.90723 + 2.49040i −0.281205 + 0.367190i
\(47\) −2.52217 + 1.45617i −0.367896 + 0.212405i −0.672539 0.740062i \(-0.734796\pi\)
0.304643 + 0.952467i \(0.401463\pi\)
\(48\) −12.5891 + 3.42417i −1.81708 + 0.494236i
\(49\) −2.40539 −0.343627
\(50\) −9.45060 7.23755i −1.33652 1.02354i
\(51\) 16.7912 + 4.49918i 2.35123 + 0.630011i
\(52\) 4.55443 + 7.85426i 0.631585 + 1.08919i
\(53\) −5.83243 1.56280i −0.801146 0.214667i −0.165059 0.986284i \(-0.552781\pi\)
−0.636087 + 0.771617i \(0.719448\pi\)
\(54\) 8.16850 19.7732i 1.11159 2.69079i
\(55\) 0.362412 0.627715i 0.0488676 0.0846411i
\(56\) 5.60779 + 2.30426i 0.749372 + 0.307920i
\(57\) 7.35556 + 12.1664i 0.974268 + 1.61147i
\(58\) 2.37161 0.314503i 0.311408 0.0412963i
\(59\) −4.45159 + 1.19280i −0.579548 + 0.155289i −0.536672 0.843791i \(-0.680319\pi\)
−0.0428761 + 0.999080i \(0.513652\pi\)
\(60\) −23.0917 6.14075i −2.98112 0.792768i
\(61\) −10.6004 2.84038i −1.35725 0.363673i −0.494443 0.869210i \(-0.664628\pi\)
−0.862805 + 0.505537i \(0.831294\pi\)
\(62\) 0.773954 + 1.86352i 0.0982922 + 0.236667i
\(63\) −14.1789 + 8.18620i −1.78638 + 1.03136i
\(64\) 5.68876 + 5.62477i 0.711095 + 0.703096i
\(65\) 16.6283i 2.06249i
\(66\) 0.118284 0.905050i 0.0145598 0.111404i
\(67\) −4.27098 1.14441i −0.521784 0.139812i −0.0116922 0.999932i \(-0.503722\pi\)
−0.510092 + 0.860120i \(0.670388\pi\)
\(68\) −2.77827 10.2910i −0.336915 1.24797i
\(69\) −5.11555 + 5.11555i −0.615840 + 0.615840i
\(70\) 6.76783 + 8.80281i 0.808910 + 1.05214i
\(71\) 7.12548 + 4.11390i 0.845639 + 0.488230i 0.859177 0.511678i \(-0.170976\pi\)
−0.0135379 + 0.999908i \(0.504309\pi\)
\(72\) −21.4111 + 2.88044i −2.52332 + 0.339464i
\(73\) −4.11502 2.37581i −0.481627 0.278067i 0.239467 0.970904i \(-0.423027\pi\)
−0.721094 + 0.692837i \(0.756360\pi\)
\(74\) −2.49288 1.02983i −0.289791 0.119716i
\(75\) −19.4125 19.4125i −2.24156 2.24156i
\(76\) 4.19124 7.64418i 0.480768 0.876848i
\(77\) −0.299924 + 0.299924i −0.0341796 + 0.0341796i
\(78\) 8.03144 + 19.3380i 0.909381 + 2.18960i
\(79\) 6.36646 11.0270i 0.716282 1.24064i −0.246180 0.969224i \(-0.579176\pi\)
0.962463 0.271414i \(-0.0874911\pi\)
\(80\) 3.84549 + 14.1381i 0.429939 + 1.58069i
\(81\) 13.2134 22.8863i 1.46816 2.54292i
\(82\) 8.09902 + 1.05849i 0.894387 + 0.116891i
\(83\) −2.21409 2.21409i −0.243028 0.243028i 0.575074 0.818101i \(-0.304973\pi\)
−0.818101 + 0.575074i \(0.804973\pi\)
\(84\) 12.1224 + 6.96845i 1.32267 + 0.760320i
\(85\) 5.05278 18.8572i 0.548051 2.04535i
\(86\) 7.62075 5.85903i 0.821767 0.631796i
\(87\) 5.51756 0.591544
\(88\) −0.516478 + 0.215645i −0.0550567 + 0.0229879i
\(89\) −7.09153 12.2829i −0.751700 1.30198i −0.946998 0.321239i \(-0.895901\pi\)
0.195298 0.980744i \(-0.437433\pi\)
\(90\) −36.5694 15.1072i −3.85475 1.59243i
\(91\) 2.51848 9.39911i 0.264009 0.985295i
\(92\) 4.28713 + 1.14007i 0.446964 + 0.118861i
\(93\) 1.20449 + 4.49521i 0.124900 + 0.466132i
\(94\) 3.26993 + 2.50421i 0.337268 + 0.258290i
\(95\) 13.6634 8.26062i 1.40183 0.847522i
\(96\) 11.3008 + 14.5847i 1.15338 + 1.48854i
\(97\) −5.61324 3.24080i −0.569938 0.329054i 0.187187 0.982324i \(-0.440063\pi\)
−0.757125 + 0.653271i \(0.773396\pi\)
\(98\) 1.30475 + 3.14156i 0.131799 + 0.317345i
\(99\) 0.391189 1.45994i 0.0393160 0.146729i
\(100\) −4.32636 + 16.2688i −0.432636 + 1.62688i
\(101\) 2.69278 10.0496i 0.267942 0.999973i −0.692483 0.721434i \(-0.743483\pi\)
0.960425 0.278539i \(-0.0898501\pi\)
\(102\) −3.23183 24.3706i −0.319999 2.41305i
\(103\) 0.323012i 0.0318273i 0.999873 + 0.0159136i \(0.00506568\pi\)
−0.999873 + 0.0159136i \(0.994934\pi\)
\(104\) 7.78763 10.2087i 0.763640 1.00104i
\(105\) 12.8043 + 22.1778i 1.24958 + 2.16433i
\(106\) 1.12258 + 8.46517i 0.109035 + 0.822210i
\(107\) −8.03021 8.03021i −0.776309 0.776309i 0.202892 0.979201i \(-0.434966\pi\)
−0.979201 + 0.202892i \(0.934966\pi\)
\(108\) −30.2557 + 0.0570433i −2.91135 + 0.00548899i
\(109\) −0.495160 + 0.132678i −0.0474277 + 0.0127082i −0.282455 0.959281i \(-0.591149\pi\)
0.235027 + 0.971989i \(0.424482\pi\)
\(110\) −1.01641 0.132838i −0.0969110 0.0126656i
\(111\) −5.38722 3.11032i −0.511333 0.295218i
\(112\) −0.0323304 8.57396i −0.00305493 0.810163i
\(113\) 8.31570i 0.782275i −0.920332 0.391137i \(-0.872082\pi\)
0.920332 0.391137i \(-0.127918\pi\)
\(114\) 11.9000 16.2061i 1.11454 1.51784i
\(115\) 5.74499 + 5.74499i 0.535723 + 0.535723i
\(116\) −1.69718 2.92685i −0.157580 0.271751i
\(117\) 8.97434 + 33.4927i 0.829678 + 3.09640i
\(118\) 3.97253 + 5.16701i 0.365701 + 0.475661i
\(119\) −5.71214 + 9.89371i −0.523631 + 0.906955i
\(120\) 4.50541 + 33.4898i 0.411286 + 3.05719i
\(121\) 10.9608i 0.996440i
\(122\) 2.04029 + 15.3854i 0.184719 + 1.39293i
\(123\) 18.1958 + 4.87556i 1.64066 + 0.439614i
\(124\) 2.01404 2.02165i 0.180866 0.181549i
\(125\) −8.85066 + 8.85066i −0.791627 + 0.791627i
\(126\) 18.3826 + 14.0780i 1.63766 + 1.25417i
\(127\) −0.558326 0.967049i −0.0495434 0.0858117i 0.840190 0.542292i \(-0.182443\pi\)
−0.889734 + 0.456480i \(0.849110\pi\)
\(128\) 4.26050 10.4808i 0.376579 0.926385i
\(129\) 19.1997 11.0850i 1.69044 0.975975i
\(130\) 21.7174 9.01966i 1.90475 0.791076i
\(131\) −11.3085 + 3.03010i −0.988028 + 0.264741i −0.716422 0.697667i \(-0.754221\pi\)
−0.271606 + 0.962409i \(0.587555\pi\)
\(132\) −1.24620 + 0.336439i −0.108468 + 0.0292832i
\(133\) −8.97431 + 2.59987i −0.778172 + 0.225438i
\(134\) 0.822044 + 6.19889i 0.0710138 + 0.535502i
\(135\) −47.9886 27.7062i −4.13020 2.38457i
\(136\) −11.9336 + 9.21069i −1.02330 + 0.789810i
\(137\) −5.29003 + 3.05420i −0.451958 + 0.260938i −0.708657 0.705554i \(-0.750698\pi\)
0.256699 + 0.966491i \(0.417365\pi\)
\(138\) 9.45599 + 3.90636i 0.804947 + 0.332531i
\(139\) 7.34154 + 1.96716i 0.622701 + 0.166852i 0.556355 0.830944i \(-0.312199\pi\)
0.0663456 + 0.997797i \(0.478866\pi\)
\(140\) 7.82588 13.6140i 0.661407 1.15060i
\(141\) 6.71679 + 6.71679i 0.565655 + 0.565655i
\(142\) 1.50791 11.5377i 0.126541 0.968226i
\(143\) 0.449149 + 0.777950i 0.0375598 + 0.0650554i
\(144\) 15.3760 + 26.4015i 1.28133 + 2.20013i
\(145\) 6.19646i 0.514588i
\(146\) −0.870829 + 6.66313i −0.0720703 + 0.551445i
\(147\) 2.03055 + 7.57812i 0.167477 + 0.625033i
\(148\) 0.00719165 + 3.81444i 0.000591150 + 0.313545i
\(149\) 5.80987 1.55675i 0.475963 0.127534i −0.0128593 0.999917i \(-0.504093\pi\)
0.488822 + 0.872383i \(0.337427\pi\)
\(150\) −14.8239 + 35.8836i −1.21036 + 2.92989i
\(151\) 7.20606i 0.586421i 0.956048 + 0.293211i \(0.0947237\pi\)
−0.956048 + 0.293211i \(0.905276\pi\)
\(152\) −12.2571 1.32756i −0.994186 0.107680i
\(153\) 40.7092i 3.29114i
\(154\) 0.554404 + 0.229030i 0.0446752 + 0.0184557i
\(155\) 5.04832 1.35269i 0.405491 0.108651i
\(156\) 20.9000 20.9790i 1.67334 1.67966i
\(157\) 1.09991 + 4.10491i 0.0877822 + 0.327608i 0.995827 0.0912665i \(-0.0290915\pi\)
−0.908044 + 0.418874i \(0.862425\pi\)
\(158\) −17.8552 2.33356i −1.42048 0.185648i
\(159\) 19.6942i 1.56185i
\(160\) 16.3792 12.6913i 1.29489 1.00334i
\(161\) −2.37722 4.11746i −0.187351 0.324501i
\(162\) −37.0581 4.84325i −2.91156 0.380522i
\(163\) 13.0285 + 13.0285i 1.02047 + 1.02047i 0.999786 + 0.0206880i \(0.00658567\pi\)
0.0206880 + 0.999786i \(0.493414\pi\)
\(164\) −3.01069 11.1519i −0.235095 0.870817i
\(165\) −2.28354 0.611873i −0.177773 0.0476342i
\(166\) −1.69073 + 4.09269i −0.131226 + 0.317655i
\(167\) 20.4258 11.7929i 1.58060 0.912559i 0.585827 0.810436i \(-0.300770\pi\)
0.994772 0.102123i \(-0.0325637\pi\)
\(168\) 2.52562 19.6124i 0.194856 1.51313i
\(169\) −6.58877 3.80403i −0.506828 0.292617i
\(170\) −27.3693 + 3.62948i −2.09913 + 0.278369i
\(171\) 23.0624 24.0127i 1.76363 1.83630i
\(172\) −11.7859 6.77500i −0.898667 0.516589i
\(173\) −9.79243 + 2.62387i −0.744505 + 0.199490i −0.611079 0.791569i \(-0.709264\pi\)
−0.133426 + 0.991059i \(0.542598\pi\)
\(174\) −2.99288 7.20622i −0.226889 0.546302i
\(175\) 15.6250 9.02108i 1.18114 0.681929i
\(176\) 0.561796 + 0.557575i 0.0423470 + 0.0420288i
\(177\) 7.51579 + 13.0177i 0.564921 + 0.978473i
\(178\) −12.1955 + 15.9245i −0.914088 + 1.19359i
\(179\) −3.93176 + 3.93176i −0.293873 + 0.293873i −0.838608 0.544735i \(-0.816630\pi\)
0.544735 + 0.838608i \(0.316630\pi\)
\(180\) 0.105498 + 55.9560i 0.00786336 + 4.17072i
\(181\) −22.5822 6.05087i −1.67852 0.449758i −0.711132 0.703059i \(-0.751817\pi\)
−0.967387 + 0.253301i \(0.918484\pi\)
\(182\) −13.6418 + 1.80906i −1.01120 + 0.134097i
\(183\) 35.7943i 2.64599i
\(184\) −0.836461 6.21762i −0.0616647 0.458369i
\(185\) −3.49302 + 6.05009i −0.256812 + 0.444811i
\(186\) 5.21763 4.01145i 0.382575 0.294134i
\(187\) −0.272962 1.01871i −0.0199610 0.0744954i
\(188\) 1.49693 5.62906i 0.109175 0.410541i
\(189\) 22.9291 + 22.9291i 1.66785 + 1.66785i
\(190\) −18.2002 13.3643i −1.32038 0.969547i
\(191\) 3.44889i 0.249553i 0.992185 + 0.124776i \(0.0398214\pi\)
−0.992185 + 0.124776i \(0.960179\pi\)
\(192\) 12.9184 22.6706i 0.932309 1.63611i
\(193\) 0.579381 + 0.334506i 0.0417048 + 0.0240783i 0.520707 0.853735i \(-0.325668\pi\)
−0.479003 + 0.877813i \(0.659002\pi\)
\(194\) −1.18788 + 9.08908i −0.0852852 + 0.652558i
\(195\) 52.3872 14.0371i 3.75152 1.00522i
\(196\) 3.39531 3.40814i 0.242522 0.243438i
\(197\) −1.75156 1.75156i −0.124794 0.124794i 0.641952 0.766745i \(-0.278125\pi\)
−0.766745 + 0.641952i \(0.778125\pi\)
\(198\) −2.11895 + 0.280997i −0.150587 + 0.0199696i
\(199\) 0.724559 + 1.25497i 0.0513626 + 0.0889627i 0.890564 0.454859i \(-0.150310\pi\)
−0.839201 + 0.543821i \(0.816977\pi\)
\(200\) 23.5947 3.17421i 1.66840 0.224450i
\(201\) 14.4217i 1.01723i
\(202\) −14.5859 + 1.93427i −1.02626 + 0.136094i
\(203\) −0.938501 + 3.50253i −0.0658699 + 0.245830i
\(204\) −30.0763 + 17.4402i −2.10576 + 1.22106i
\(205\) 5.47547 20.4347i 0.382423 1.42722i
\(206\) 0.421870 0.175210i 0.0293931 0.0122075i
\(207\) 14.6721 + 8.47095i 1.01978 + 0.588772i
\(208\) −17.5573 4.63358i −1.21738 0.321281i
\(209\) 0.416107 0.755533i 0.0287827 0.0522613i
\(210\) 22.0199 28.7530i 1.51952 1.98414i
\(211\) 2.72264 + 10.1610i 0.187434 + 0.699514i 0.994096 + 0.108501i \(0.0346052\pi\)
−0.806662 + 0.591013i \(0.798728\pi\)
\(212\) 10.4470 6.05789i 0.717505 0.416057i
\(213\) 6.94565 25.9215i 0.475908 1.77611i
\(214\) −6.13206 + 14.8437i −0.419179 + 1.01469i
\(215\) −12.4489 21.5621i −0.849007 1.47052i
\(216\) 16.4860 + 39.4845i 1.12173 + 2.68658i
\(217\) −3.05842 −0.207619
\(218\) 0.441872 + 0.574736i 0.0299274 + 0.0389261i
\(219\) −4.01117 + 14.9699i −0.271049 + 1.01157i
\(220\) 0.377835 + 1.39954i 0.0254737 + 0.0943570i
\(221\) 17.1083 + 17.1083i 1.15083 + 1.15083i
\(222\) −1.14006 + 8.72312i −0.0765155 + 0.585457i
\(223\) 0.921370 1.59586i 0.0616995 0.106867i −0.833526 0.552481i \(-0.813681\pi\)
0.895225 + 0.445614i \(0.147015\pi\)
\(224\) −11.1805 + 4.69298i −0.747029 + 0.313563i
\(225\) −32.1456 + 55.6778i −2.14304 + 3.71186i
\(226\) −10.8607 + 4.51066i −0.722445 + 0.300045i
\(227\) 20.6279 20.6279i 1.36912 1.36912i 0.507434 0.861691i \(-0.330594\pi\)
0.861691 0.507434i \(-0.169406\pi\)
\(228\) −27.6210 6.75144i −1.82924 0.447125i
\(229\) 2.63370 + 2.63370i 0.174040 + 0.174040i 0.788752 0.614712i \(-0.210728\pi\)
−0.614712 + 0.788752i \(0.710728\pi\)
\(230\) 4.38701 10.6195i 0.289271 0.700229i
\(231\) 1.19809 + 0.691719i 0.0788287 + 0.0455118i
\(232\) −2.90202 + 3.80422i −0.190527 + 0.249759i
\(233\) −22.5855 13.0397i −1.47962 0.854262i −0.479891 0.877328i \(-0.659324\pi\)
−0.999734 + 0.0230663i \(0.992657\pi\)
\(234\) 38.8753 29.8883i 2.54136 1.95386i
\(235\) 7.54325 7.54325i 0.492067 0.492067i
\(236\) 4.59357 7.99105i 0.299016 0.520173i
\(237\) −40.1148 10.7487i −2.60574 0.698205i
\(238\) 16.0201 + 2.09373i 1.03843 + 0.135716i
\(239\) 24.5580i 1.58852i −0.607576 0.794262i \(-0.707858\pi\)
0.607576 0.794262i \(-0.292142\pi\)
\(240\) 41.2956 24.0501i 2.66562 1.55243i
\(241\) 0.809460 0.467342i 0.0521419 0.0301042i −0.473702 0.880685i \(-0.657083\pi\)
0.525844 + 0.850581i \(0.323749\pi\)
\(242\) 14.3154 5.94546i 0.920231 0.382189i
\(243\) −39.4201 10.5626i −2.52880 0.677590i
\(244\) 18.9875 11.0102i 1.21555 0.704856i
\(245\) 8.51056 2.28040i 0.543720 0.145689i
\(246\) −3.50219 26.4094i −0.223291 1.68380i
\(247\) 0.399346 + 19.7837i 0.0254098 + 1.25880i
\(248\) −3.73285 1.53384i −0.237036 0.0973991i
\(249\) −5.10637 + 8.84450i −0.323603 + 0.560497i
\(250\) 16.3603 + 6.75858i 1.03471 + 0.427450i
\(251\) 3.34092 + 0.895197i 0.210877 + 0.0565043i 0.362711 0.931902i \(-0.381851\pi\)
−0.151834 + 0.988406i \(0.548518\pi\)
\(252\) 8.41533 31.6450i 0.530116 1.99345i
\(253\) 0.423956 + 0.113599i 0.0266539 + 0.00714188i
\(254\) −0.960165 + 1.25376i −0.0602461 + 0.0786677i
\(255\) −63.6747 −3.98746
\(256\) −15.9995 + 0.120663i −0.999972 + 0.00754142i
\(257\) 20.6727 11.9354i 1.28953 0.744509i 0.310958 0.950424i \(-0.399350\pi\)
0.978570 + 0.205914i \(0.0660168\pi\)
\(258\) −24.8920 19.0630i −1.54971 1.18681i
\(259\) 2.89075 2.89075i 0.179623 0.179623i
\(260\) −23.5603 23.4716i −1.46115 1.45565i
\(261\) −3.34425 12.4809i −0.207004 0.772548i
\(262\) 10.0915 + 13.1259i 0.623456 + 0.810919i
\(263\) 6.96163 12.0579i 0.429272 0.743522i −0.567536 0.823348i \(-0.692103\pi\)
0.996809 + 0.0798268i \(0.0254367\pi\)
\(264\) 1.11538 + 1.44511i 0.0686470 + 0.0889405i
\(265\) 22.1175 1.35867
\(266\) 8.26349 + 10.3107i 0.506667 + 0.632188i
\(267\) −32.7105 + 32.7105i −2.00185 + 2.00185i
\(268\) 7.65017 4.43608i 0.467308 0.270977i
\(269\) −6.54369 + 1.75338i −0.398976 + 0.106905i −0.452727 0.891649i \(-0.649549\pi\)
0.0537514 + 0.998554i \(0.482882\pi\)
\(270\) −10.1554 + 77.7042i −0.618040 + 4.72893i
\(271\) −19.5780 11.3034i −1.18928 0.686632i −0.231138 0.972921i \(-0.574245\pi\)
−0.958143 + 0.286289i \(0.907578\pi\)
\(272\) 18.5027 + 10.5897i 1.12189 + 0.642097i
\(273\) −31.7377 −1.92086
\(274\) 6.85840 + 5.25237i 0.414331 + 0.317307i
\(275\) −0.431084 + 1.60883i −0.0259954 + 0.0970160i
\(276\) −0.0272794 14.4689i −0.00164202 0.870927i
\(277\) 18.8831 + 18.8831i 1.13457 + 1.13457i 0.989407 + 0.145167i \(0.0463720\pi\)
0.145167 + 0.989407i \(0.453628\pi\)
\(278\) −1.41304 10.6555i −0.0847485 0.639073i
\(279\) 9.43826 5.44918i 0.565054 0.326234i
\(280\) −22.0256 2.83638i −1.31628 0.169506i
\(281\) 10.8415 + 18.7781i 0.646751 + 1.12021i 0.983894 + 0.178752i \(0.0572059\pi\)
−0.337143 + 0.941453i \(0.609461\pi\)
\(282\) 5.12910 12.4158i 0.305434 0.739353i
\(283\) 1.41257 + 5.27180i 0.0839689 + 0.313376i 0.995117 0.0987031i \(-0.0314694\pi\)
−0.911148 + 0.412079i \(0.864803\pi\)
\(284\) −15.8868 + 4.28898i −0.942710 + 0.254504i
\(285\) −37.5591 36.0728i −2.22481 2.13677i
\(286\) 0.772412 1.00859i 0.0456737 0.0596394i
\(287\) −6.18999 + 10.7214i −0.365383 + 0.632863i
\(288\) 26.1414 34.4027i 1.54040 2.02720i
\(289\) −5.70294 9.87778i −0.335467 0.581046i
\(290\) −8.09290 + 3.36113i −0.475232 + 0.197372i
\(291\) −5.47157 + 20.4202i −0.320749 + 1.19705i
\(292\) 9.17476 2.47692i 0.536912 0.144951i
\(293\) −5.02922 + 5.02922i −0.293810 + 0.293810i −0.838583 0.544773i \(-0.816616\pi\)
0.544773 + 0.838583i \(0.316616\pi\)
\(294\) 8.79600 6.76259i 0.512993 0.394402i
\(295\) 14.6195 8.44056i 0.851179 0.491429i
\(296\) 4.97796 2.07845i 0.289338 0.120807i
\(297\) −2.99350 −0.173701
\(298\) −5.18463 6.74357i −0.300337 0.390644i
\(299\) −9.72605 + 2.60609i −0.562472 + 0.150714i
\(300\) 54.9068 0.103520i 3.17004 0.00597672i
\(301\) 3.77096 + 14.0734i 0.217354 + 0.811177i
\(302\) 9.41150 3.90877i 0.541571 0.224924i
\(303\) −33.9342 −1.94947
\(304\) 4.91475 + 16.7286i 0.281880 + 0.959450i
\(305\) 40.1985 2.30176
\(306\) −53.1683 + 22.0818i −3.03943 + 1.26233i
\(307\) 6.13583 + 22.8992i 0.350190 + 1.30693i 0.886430 + 0.462863i \(0.153178\pi\)
−0.536239 + 0.844066i \(0.680156\pi\)
\(308\) −0.00159939 0.848313i −9.11335e−5 0.0483371i
\(309\) 1.01764 0.272676i 0.0578916 0.0155120i
\(310\) −4.50503 5.85963i −0.255869 0.332805i
\(311\) −11.8490 −0.671897 −0.335949 0.941880i \(-0.609057\pi\)
−0.335949 + 0.941880i \(0.609057\pi\)
\(312\) −38.7363 15.9169i −2.19301 0.901118i
\(313\) −11.8571 + 6.84573i −0.670205 + 0.386943i −0.796154 0.605093i \(-0.793136\pi\)
0.125949 + 0.992037i \(0.459802\pi\)
\(314\) 4.76461 3.66316i 0.268882 0.206724i
\(315\) 42.4060 42.4060i 2.38931 2.38931i
\(316\) 6.63741 + 24.5856i 0.373383 + 1.38305i
\(317\) −7.40676 + 27.6424i −0.416005 + 1.55255i 0.366809 + 0.930296i \(0.380450\pi\)
−0.782814 + 0.622256i \(0.786216\pi\)
\(318\) 25.7217 10.6827i 1.44240 0.599056i
\(319\) −0.167373 0.289899i −0.00937111 0.0162312i
\(320\) −25.4601 14.5080i −1.42326 0.811021i
\(321\) −18.5202 + 32.0779i −1.03369 + 1.79041i
\(322\) −4.08815 + 5.33819i −0.227824 + 0.297486i
\(323\) 5.55871 22.5569i 0.309295 1.25510i
\(324\) 13.7758 + 51.0269i 0.765321 + 2.83483i
\(325\) −9.88960 36.9085i −0.548576 2.04731i
\(326\) 9.94891 24.0830i 0.551019 1.33383i
\(327\) 0.835996 + 1.44799i 0.0462307 + 0.0800739i
\(328\) −12.9319 + 9.98121i −0.714044 + 0.551120i
\(329\) −5.40628 + 3.12132i −0.298058 + 0.172084i
\(330\) 0.439517 + 3.31432i 0.0241946 + 0.182447i
\(331\) −10.5808 10.5808i −0.581572 0.581572i 0.353763 0.935335i \(-0.384902\pi\)
−0.935335 + 0.353763i \(0.884902\pi\)
\(332\) 6.26237 0.0118069i 0.343692 0.000647988i
\(333\) −3.77038 + 14.0713i −0.206616 + 0.771101i
\(334\) −26.4816 20.2804i −1.44901 1.10970i
\(335\) 16.1962 0.884895
\(336\) −26.9848 + 7.33972i −1.47214 + 0.400415i
\(337\) −3.66421 2.11553i −0.199602 0.115240i 0.396868 0.917876i \(-0.370097\pi\)
−0.596470 + 0.802635i \(0.703431\pi\)
\(338\) −1.39433 + 10.6687i −0.0758415 + 0.580300i
\(339\) −26.1984 + 7.01985i −1.42290 + 0.381266i
\(340\) 19.5861 + 33.7770i 1.06221 + 1.83181i
\(341\) 0.199646 0.199646i 0.0108114 0.0108114i
\(342\) −43.8715 17.0956i −2.37230 0.924425i
\(343\) −20.1605 −1.08856
\(344\) −2.45550 + 19.0680i −0.132392 + 1.02808i
\(345\) 13.2497 22.9492i 0.713341 1.23554i
\(346\) 8.73860 + 11.3662i 0.469790 + 0.611049i
\(347\) −0.268753 1.00300i −0.0144274 0.0538439i 0.958337 0.285640i \(-0.0922063\pi\)
−0.972764 + 0.231797i \(0.925540\pi\)
\(348\) −7.78828 + 7.81770i −0.417496 + 0.419073i
\(349\) 19.8381 19.8381i 1.06191 1.06191i 0.0639559 0.997953i \(-0.479628\pi\)
0.997953 0.0639559i \(-0.0203717\pi\)
\(350\) −20.2574 15.5137i −1.08280 0.829244i
\(351\) 59.4739 34.3373i 3.17448 1.83279i
\(352\) 0.423489 1.03618i 0.0225720 0.0552285i
\(353\) −20.0687 −1.06815 −0.534076 0.845437i \(-0.679340\pi\)
−0.534076 + 0.845437i \(0.679340\pi\)
\(354\) 12.9251 16.8772i 0.686960 0.897013i
\(355\) −29.1110 7.80027i −1.54505 0.413995i
\(356\) 27.4134 + 7.29002i 1.45290 + 0.386370i
\(357\) 35.9920 + 9.64401i 1.90490 + 0.510415i
\(358\) 7.26777 + 3.00239i 0.384114 + 0.158681i
\(359\) 11.6637 20.2021i 0.615586 1.06623i −0.374696 0.927148i \(-0.622253\pi\)
0.990281 0.139078i \(-0.0444138\pi\)
\(360\) 73.0243 30.4899i 3.84872 1.60696i
\(361\) 16.0577 10.1563i 0.845143 0.534541i
\(362\) 4.34643 + 32.7756i 0.228443 + 1.72265i
\(363\) 34.5319 9.25280i 1.81246 0.485646i
\(364\) 9.76243 + 16.8356i 0.511691 + 0.882428i
\(365\) 16.8118 + 4.50471i 0.879971 + 0.235788i
\(366\) 46.7492 19.4158i 2.44362 1.01488i
\(367\) 19.3113 11.1494i 1.00804 0.581993i 0.0974237 0.995243i \(-0.468940\pi\)
0.910618 + 0.413250i \(0.135606\pi\)
\(368\) −7.66682 + 4.46507i −0.399661 + 0.232758i
\(369\) 44.1147i 2.29652i
\(370\) 9.79644 + 1.28033i 0.509293 + 0.0665613i
\(371\) −12.5018 3.34986i −0.649064 0.173916i
\(372\) −8.06935 4.63858i −0.418376 0.240499i
\(373\) −20.4395 + 20.4395i −1.05832 + 1.05832i −0.0601262 + 0.998191i \(0.519150\pi\)
−0.998191 + 0.0601262i \(0.980850\pi\)
\(374\) −1.18243 + 0.909079i −0.0611417 + 0.0470074i
\(375\) 35.3553 + 20.4124i 1.82574 + 1.05409i
\(376\) −8.16382 + 1.09828i −0.421017 + 0.0566397i
\(377\) 6.65063 + 3.83975i 0.342525 + 0.197757i
\(378\) 17.5092 42.3840i 0.900577 2.18000i
\(379\) −26.1615 26.1615i −1.34383 1.34383i −0.892213 0.451615i \(-0.850848\pi\)
−0.451615 0.892213i \(-0.649152\pi\)
\(380\) −7.58216 + 31.0195i −0.388957 + 1.59127i
\(381\) −2.57535 + 2.57535i −0.131939 + 0.131939i
\(382\) 4.50443 1.87077i 0.230467 0.0957171i
\(383\) −2.04400 + 3.54031i −0.104443 + 0.180901i −0.913511 0.406815i \(-0.866639\pi\)
0.809067 + 0.587716i \(0.199973\pi\)
\(384\) −36.6163 4.57502i −1.86857 0.233468i
\(385\) 0.776831 1.34551i 0.0395910 0.0685736i
\(386\) 0.122610 0.938147i 0.00624068 0.0477504i
\(387\) −36.7116 36.7116i −1.86616 1.86616i
\(388\) 12.5152 3.37873i 0.635361 0.171529i
\(389\) −3.37277 + 12.5874i −0.171006 + 0.638205i 0.826191 + 0.563390i \(0.190503\pi\)
−0.997197 + 0.0748146i \(0.976164\pi\)
\(390\) −46.7494 60.8063i −2.36725 3.07905i
\(391\) 11.8217 0.597847
\(392\) −6.29291 2.58578i −0.317840 0.130602i
\(393\) 19.0926 + 33.0693i 0.963092 + 1.66812i
\(394\) −1.33754 + 3.23773i −0.0673841 + 0.163114i
\(395\) −12.0713 + 45.0507i −0.607373 + 2.26675i
\(396\) 1.51637 + 2.61503i 0.0762005 + 0.131410i
\(397\) 8.38495 + 31.2931i 0.420829 + 1.57055i 0.772867 + 0.634569i \(0.218822\pi\)
−0.352038 + 0.935986i \(0.614511\pi\)
\(398\) 1.24604 1.62704i 0.0624583 0.0815563i
\(399\) 15.7667 + 26.0787i 0.789322 + 1.30557i
\(400\) −16.9441 29.0941i −0.847204 1.45470i
\(401\) 22.7624 + 13.1419i 1.13670 + 0.656273i 0.945611 0.325300i \(-0.105465\pi\)
0.191087 + 0.981573i \(0.438799\pi\)
\(402\) 18.8355 7.82274i 0.939431 0.390163i
\(403\) −1.67644 + 6.25656i −0.0835094 + 0.311661i
\(404\) 10.4381 + 18.0008i 0.519313 + 0.895574i
\(405\) −25.0537 + 93.5016i −1.24493 + 4.64613i
\(406\) 5.08356 0.674139i 0.252293 0.0334570i
\(407\) 0.377402i 0.0187071i
\(408\) 39.0921 + 29.8211i 1.93534 + 1.47637i
\(409\) −3.24460 5.61981i −0.160435 0.277882i 0.774590 0.632464i \(-0.217956\pi\)
−0.935025 + 0.354582i \(0.884623\pi\)
\(410\) −29.6589 + 3.93311i −1.46475 + 0.194243i
\(411\) 14.0879 + 14.0879i 0.694903 + 0.694903i
\(412\) −0.457668 0.455945i −0.0225477 0.0224628i
\(413\) −9.54201 + 2.55677i −0.469532 + 0.125811i
\(414\) 3.10494 23.7574i 0.152600 1.16761i
\(415\) 9.93276 + 5.73468i 0.487580 + 0.281504i
\(416\) 3.47187 + 25.4441i 0.170222 + 1.24750i
\(417\) 24.7900i 1.21397i
\(418\) −1.21247 0.133635i −0.0593040 0.00653632i
\(419\) −20.3603 20.3603i −0.994665 0.994665i 0.00532114 0.999986i \(-0.498306\pi\)
−0.999986 + 0.00532114i \(0.998306\pi\)
\(420\) −49.4971 13.1627i −2.41521 0.642276i
\(421\) −6.80293 25.3889i −0.331554 1.23738i −0.907557 0.419930i \(-0.862055\pi\)
0.576002 0.817448i \(-0.304612\pi\)
\(422\) 11.7940 9.06754i 0.574123 0.441401i
\(423\) 11.1225 19.2647i 0.540793 0.936682i
\(424\) −13.5787 10.3584i −0.659439 0.503048i
\(425\) 44.8609i 2.17607i
\(426\) −37.6224 + 4.98916i −1.82281 + 0.241726i
\(427\) −22.7221 6.08837i −1.09960 0.294637i
\(428\) 22.7128 0.0428222i 1.09787 0.00206989i
\(429\) 2.07176 2.07176i 0.100025 0.100025i
\(430\) −21.4086 + 27.9548i −1.03242 + 1.34810i
\(431\) 11.4274 + 19.7929i 0.550440 + 0.953391i 0.998243 + 0.0592580i \(0.0188735\pi\)
−0.447802 + 0.894133i \(0.647793\pi\)
\(432\) 42.6264 42.9491i 2.05086 2.06639i
\(433\) −29.4873 + 17.0245i −1.41707 + 0.818144i −0.996040 0.0889039i \(-0.971664\pi\)
−0.421027 + 0.907048i \(0.638330\pi\)
\(434\) 1.65897 + 3.99446i 0.0796333 + 0.191740i
\(435\) −19.5218 + 5.23086i −0.936000 + 0.250800i
\(436\) 0.510952 0.888861i 0.0244702 0.0425687i
\(437\) 6.97312 + 6.69717i 0.333569 + 0.320369i
\(438\) 21.7272 2.88128i 1.03817 0.137673i
\(439\) 19.3159 + 11.1521i 0.921899 + 0.532258i 0.884240 0.467032i \(-0.154677\pi\)
0.0376583 + 0.999291i \(0.488010\pi\)
\(440\) 1.62293 1.25262i 0.0773699 0.0597164i
\(441\) 15.9112 9.18635i 0.757677 0.437445i
\(442\) 13.0643 31.6244i 0.621407 1.50422i
\(443\) 7.76621 + 2.08095i 0.368984 + 0.0988688i 0.438546 0.898709i \(-0.355494\pi\)
−0.0695624 + 0.997578i \(0.522160\pi\)
\(444\) 12.0112 3.24269i 0.570028 0.153891i
\(445\) 36.7354 + 36.7354i 1.74142 + 1.74142i
\(446\) −2.58405 0.337719i −0.122358 0.0159915i
\(447\) −9.80902 16.9897i −0.463951 0.803586i
\(448\) 12.1939 + 12.0567i 0.576107 + 0.569626i
\(449\) 29.7941i 1.40607i 0.711156 + 0.703034i \(0.248172\pi\)
−0.711156 + 0.703034i \(0.751828\pi\)
\(450\) 90.1548 + 11.7827i 4.24994 + 0.555440i
\(451\) −0.295797 1.10393i −0.0139285 0.0519820i
\(452\) 11.7823 + 11.7380i 0.554194 + 0.552108i
\(453\) 22.7026 6.08313i 1.06666 0.285811i
\(454\) −38.1303 15.7520i −1.78955 0.739278i
\(455\) 35.6429i 1.67096i
\(456\) 6.16464 + 39.7366i 0.288686 + 1.86084i
\(457\) 27.7886i 1.29990i −0.759979 0.649948i \(-0.774791\pi\)
0.759979 0.649948i \(-0.225209\pi\)
\(458\) 2.01116 4.86834i 0.0939752 0.227482i
\(459\) −77.8799 + 20.8679i −3.63512 + 0.974028i
\(460\) −16.2492 + 0.0306359i −0.757625 + 0.00142841i
\(461\) −10.4430 38.9738i −0.486379 1.81519i −0.573771 0.819015i \(-0.694520\pi\)
0.0873930 0.996174i \(-0.472146\pi\)
\(462\) 0.253543 1.93998i 0.0117959 0.0902560i
\(463\) 8.93410i 0.415203i −0.978214 0.207601i \(-0.933434\pi\)
0.978214 0.207601i \(-0.0665657\pi\)
\(464\) 6.54264 + 1.72668i 0.303735 + 0.0801591i
\(465\) −8.52326 14.7627i −0.395257 0.684605i
\(466\) −4.77959 + 36.5709i −0.221410 + 1.69412i
\(467\) 25.3216 + 25.3216i 1.17175 + 1.17175i 0.981793 + 0.189953i \(0.0608335\pi\)
0.189953 + 0.981793i \(0.439166\pi\)
\(468\) −60.1228 34.5609i −2.77918 1.59758i
\(469\) −9.15488 2.45304i −0.422733 0.113271i
\(470\) −13.9435 5.76021i −0.643167 0.265699i
\(471\) 12.0039 6.93048i 0.553112 0.319340i
\(472\) −12.9284 1.66488i −0.595078 0.0766321i
\(473\) −1.16483 0.672517i −0.0535591 0.0309224i
\(474\) 7.72097 + 58.2224i 0.354636 + 2.67424i
\(475\) −25.4145 + 26.4616i −1.16610 + 1.21414i
\(476\) −5.95524 22.0588i −0.272958 1.01106i
\(477\) 44.5490 11.9369i 2.03976 0.546551i
\(478\) −32.0740 + 13.3209i −1.46703 + 0.609285i
\(479\) −8.24201 + 4.75853i −0.376587 + 0.217423i −0.676332 0.736597i \(-0.736432\pi\)
0.299745 + 0.954019i \(0.403098\pi\)
\(480\) −53.8106 40.8888i −2.45610 1.86631i
\(481\) −4.32902 7.49809i −0.197386 0.341883i
\(482\) −1.04945 0.803698i −0.0478010 0.0366075i
\(483\) −10.9652 + 10.9652i −0.498934 + 0.498934i
\(484\) −15.5302 15.4717i −0.705917 0.703260i
\(485\) 22.9328 + 6.14481i 1.04132 + 0.279022i
\(486\) 7.58726 + 57.2141i 0.344165 + 2.59529i
\(487\) 28.2172i 1.27864i −0.768940 0.639321i \(-0.779215\pi\)
0.768940 0.639321i \(-0.220785\pi\)
\(488\) −24.6792 18.8264i −1.11718 0.852231i
\(489\) 30.0479 52.0444i 1.35881 2.35353i
\(490\) −7.59468 9.87829i −0.343093 0.446256i
\(491\) −1.24063 4.63011i −0.0559890 0.208954i 0.932264 0.361778i \(-0.117830\pi\)
−0.988253 + 0.152824i \(0.951163\pi\)
\(492\) −32.5923 + 18.8992i −1.46937 + 0.852042i
\(493\) −6.37534 6.37534i −0.287131 0.287131i
\(494\) 25.6219 11.2528i 1.15278 0.506286i
\(495\) 5.53631i 0.248838i
\(496\) 0.0215208 + 5.70729i 0.000966314 + 0.256265i
\(497\) 15.2735 + 8.81816i 0.685110 + 0.395549i
\(498\) 14.3212 + 1.87169i 0.641749 + 0.0838725i
\(499\) −10.2058 + 2.73464i −0.456875 + 0.122419i −0.479914 0.877315i \(-0.659332\pi\)
0.0230397 + 0.999735i \(0.492666\pi\)
\(500\) −0.0471973 25.0334i −0.00211073 1.11953i
\(501\) −54.3960 54.3960i −2.43024 2.43024i
\(502\) −0.643033 4.84900i −0.0287000 0.216421i
\(503\) 17.5909 + 30.4684i 0.784340 + 1.35852i 0.929393 + 0.369093i \(0.120332\pi\)
−0.145053 + 0.989424i \(0.546335\pi\)
\(504\) −45.8947 + 6.17424i −2.04431 + 0.275023i
\(505\) 38.1096i 1.69586i
\(506\) −0.0815995 0.615327i −0.00362754 0.0273546i
\(507\) −6.42248 + 23.9690i −0.285232 + 1.06450i
\(508\) 2.15829 + 0.573953i 0.0957587 + 0.0254651i
\(509\) 5.51458 20.5807i 0.244429 0.912223i −0.729240 0.684258i \(-0.760126\pi\)
0.973669 0.227965i \(-0.0732072\pi\)
\(510\) 34.5389 + 83.1625i 1.52941 + 3.68250i
\(511\) −8.82057 5.09256i −0.390199 0.225281i
\(512\) 8.83619 + 20.8308i 0.390508 + 0.920600i
\(513\) −57.7602 31.8112i −2.55017 1.40450i
\(514\) −26.8017 20.5255i −1.18217 0.905343i
\(515\) −0.306227 1.14286i −0.0134940 0.0503603i
\(516\) −11.3952 + 42.8505i −0.501646 + 1.88639i
\(517\) 0.149156 0.556659i 0.00655989 0.0244819i
\(518\) −5.34350 2.20745i −0.234780 0.0969898i
\(519\) 16.5329 + 28.6359i 0.725715 + 1.25698i
\(520\) −17.8754 + 43.5026i −0.783888 + 1.90772i
\(521\) −36.7447 −1.60981 −0.804907 0.593401i \(-0.797785\pi\)
−0.804907 + 0.593401i \(0.797785\pi\)
\(522\) −14.4867 + 11.1377i −0.634065 + 0.487486i
\(523\) 6.10738 22.7930i 0.267057 0.996670i −0.693922 0.720050i \(-0.744119\pi\)
0.960979 0.276620i \(-0.0892144\pi\)
\(524\) 11.6692 20.2999i 0.509770 0.886804i
\(525\) −41.6108 41.6108i −1.81605 1.81605i
\(526\) −19.5244 2.55172i −0.851305 0.111260i
\(527\) 3.80231 6.58579i 0.165631 0.286882i
\(528\) 1.28238 2.24062i 0.0558084 0.0975103i
\(529\) 9.04009 15.6579i 0.393048 0.680778i
\(530\) −11.9971 28.8866i −0.521122 1.25475i
\(531\) 24.8911 24.8911i 1.08018 1.08018i
\(532\) 8.98394 16.3853i 0.389503 0.710395i
\(533\) 18.5395 + 18.5395i 0.803036 + 0.803036i
\(534\) 60.4648 + 24.9786i 2.61657 + 1.08093i
\(535\) 36.0248 + 20.7990i 1.55749 + 0.899217i
\(536\) −9.94341 7.58527i −0.429490 0.327634i
\(537\) 15.7060 + 9.06785i 0.677763 + 0.391307i
\(538\) 5.83948 + 7.59532i 0.251758 + 0.327457i
\(539\) 0.336567 0.336567i 0.0144970 0.0144970i
\(540\) 106.994 28.8854i 4.60430 1.24303i
\(541\) −15.3935 4.12468i −0.661819 0.177334i −0.0877522 0.996142i \(-0.527968\pi\)
−0.574067 + 0.818808i \(0.694635\pi\)
\(542\) −4.14314 + 31.7012i −0.177963 + 1.36168i
\(543\) 76.2526i 3.27231i
\(544\) 3.79436 29.9097i 0.162682 1.28237i
\(545\) 1.62615 0.938861i 0.0696568 0.0402164i
\(546\) 17.2154 + 41.4511i 0.736752 + 1.77395i
\(547\) 12.6108 + 3.37905i 0.539198 + 0.144478i 0.518132 0.855300i \(-0.326627\pi\)
0.0210656 + 0.999778i \(0.493294\pi\)
\(548\) 3.13969 11.8065i 0.134121 0.504347i
\(549\) 80.9677 21.6952i 3.45562 0.925930i
\(550\) 2.33505 0.309654i 0.0995667 0.0132037i
\(551\) −0.148814 7.37229i −0.00633971 0.314070i
\(552\) −18.8824 + 7.88398i −0.803688 + 0.335564i
\(553\) 13.6465 23.6365i 0.580310 1.00513i
\(554\) 14.4196 34.9050i 0.612629 1.48297i
\(555\) 22.0094 + 5.89740i 0.934246 + 0.250331i
\(556\) −13.1501 + 7.62532i −0.557690 + 0.323386i
\(557\) −13.9698 3.74320i −0.591920 0.158604i −0.0495894 0.998770i \(-0.515791\pi\)
−0.542331 + 0.840165i \(0.682458\pi\)
\(558\) −12.2365 9.37107i −0.518012 0.396709i
\(559\) 30.8567 1.30510
\(560\) 8.24283 + 30.3051i 0.348323 + 1.28062i
\(561\) −2.97900 + 1.71992i −0.125773 + 0.0726153i
\(562\) 18.6444 24.3453i 0.786466 1.02695i
\(563\) 10.7837 10.7837i 0.454478 0.454478i −0.442360 0.896838i \(-0.645859\pi\)
0.896838 + 0.442360i \(0.145859\pi\)
\(564\) −18.9979 + 0.0358182i −0.799956 + 0.00150822i
\(565\) 7.88360 + 29.4220i 0.331666 + 1.23779i
\(566\) 6.11903 4.70447i 0.257202 0.197743i
\(567\) 28.3230 49.0569i 1.18946 2.06020i
\(568\) 14.2191 + 18.4226i 0.596620 + 0.772994i
\(569\) 26.2224 1.09930 0.549651 0.835395i \(-0.314761\pi\)
0.549651 + 0.835395i \(0.314761\pi\)
\(570\) −26.7399 + 68.6210i −1.12001 + 2.87422i
\(571\) −26.7040 + 26.7040i −1.11753 + 1.11753i −0.125426 + 0.992103i \(0.540030\pi\)
−0.992103 + 0.125426i \(0.959970\pi\)
\(572\) −1.73625 0.461721i −0.0725964 0.0193055i
\(573\) 10.8657 2.91144i 0.453919 0.121627i
\(574\) 17.3603 + 2.26888i 0.724605 + 0.0947012i
\(575\) −16.1685 9.33487i −0.674271 0.389291i
\(576\) −59.1116 15.4811i −2.46298 0.645045i
\(577\) 31.5084 1.31171 0.655857 0.754885i \(-0.272307\pi\)
0.655857 + 0.754885i \(0.272307\pi\)
\(578\) −9.80747 + 12.8063i −0.407937 + 0.532673i
\(579\) 0.564759 2.10771i 0.0234706 0.0875934i
\(580\) 8.77963 + 8.74658i 0.364554 + 0.363182i
\(581\) −4.74590 4.74590i −0.196893 0.196893i
\(582\) 29.6378 3.93031i 1.22852 0.162917i
\(583\) 1.03476 0.597418i 0.0428553 0.0247425i
\(584\) −8.21163 10.6392i −0.339800 0.440252i
\(585\) −63.5048 109.993i −2.62560 4.54767i
\(586\) 9.29641 + 3.84044i 0.384031 + 0.158647i
\(587\) −5.91066 22.0589i −0.243959 0.910468i −0.973904 0.226962i \(-0.927121\pi\)
0.729945 0.683506i \(-0.239546\pi\)
\(588\) −13.6035 7.81982i −0.560998 0.322484i
\(589\) 5.97379 1.73062i 0.246146 0.0713089i
\(590\) −18.9538 14.5154i −0.780317 0.597590i
\(591\) −4.03965 + 6.99687i −0.166169 + 0.287813i
\(592\) −5.41474 5.37406i −0.222545 0.220873i
\(593\) 9.62404 + 16.6693i 0.395212 + 0.684527i 0.993128 0.117031i \(-0.0373378\pi\)
−0.597916 + 0.801559i \(0.704004\pi\)
\(594\) 1.62376 + 3.90967i 0.0666236 + 0.160416i
\(595\) 10.8307 40.4205i 0.444013 1.65708i
\(596\) −5.99517 + 10.4293i −0.245572 + 0.427200i
\(597\) 3.34212 3.34212i 0.136784 0.136784i
\(598\) 8.67936 + 11.2891i 0.354926 + 0.461646i
\(599\) −16.3355 + 9.43130i −0.667450 + 0.385352i −0.795110 0.606466i \(-0.792587\pi\)
0.127660 + 0.991818i \(0.459253\pi\)
\(600\) −29.9182 71.6550i −1.22140 2.92530i
\(601\) −33.0548 −1.34833 −0.674167 0.738579i \(-0.735497\pi\)
−0.674167 + 0.738579i \(0.735497\pi\)
\(602\) 16.3351 12.5589i 0.665770 0.511861i
\(603\) 32.6224 8.74115i 1.32849 0.355967i
\(604\) −10.2101 10.1717i −0.415443 0.413880i
\(605\) −10.3913 38.7809i −0.422466 1.57667i
\(606\) 18.4069 + 44.3199i 0.747728 + 1.80037i
\(607\) 5.08942 0.206573 0.103287 0.994652i \(-0.467064\pi\)
0.103287 + 0.994652i \(0.467064\pi\)
\(608\) 19.1825 15.4930i 0.777953 0.628322i
\(609\) 11.8269 0.479251
\(610\) −21.8048 52.5014i −0.882850 2.12572i
\(611\) 3.42183 + 12.7704i 0.138432 + 0.516637i
\(612\) 57.6799 + 57.4628i 2.33157 + 2.32280i
\(613\) −20.6884 + 5.54344i −0.835597 + 0.223897i −0.651154 0.758946i \(-0.725715\pi\)
−0.184443 + 0.982843i \(0.559048\pi\)
\(614\) 26.5794 20.4349i 1.07266 0.824685i
\(615\) −69.0014 −2.78241
\(616\) −1.10707 + 0.462237i −0.0446053 + 0.0186241i
\(617\) −12.2555 + 7.07569i −0.493386 + 0.284857i −0.725978 0.687718i \(-0.758613\pi\)
0.232592 + 0.972574i \(0.425279\pi\)
\(618\) −0.908126 1.18119i −0.0365302 0.0475143i
\(619\) 2.67550 2.67550i 0.107537 0.107537i −0.651291 0.758828i \(-0.725772\pi\)
0.758828 + 0.651291i \(0.225772\pi\)
\(620\) −5.20933 + 9.06223i −0.209212 + 0.363948i
\(621\) 8.68456 32.4112i 0.348500 1.30062i
\(622\) 6.42725 + 15.4755i 0.257709 + 0.620510i
\(623\) −15.2007 26.3284i −0.609004 1.05483i
\(624\) 0.223325 + 59.2255i 0.00894016 + 2.37092i
\(625\) 1.88119 3.25831i 0.0752475 0.130332i
\(626\) 15.3725 + 11.7727i 0.614409 + 0.470533i
\(627\) −2.73156 0.673139i −0.109088 0.0268826i
\(628\) −7.36873 4.23583i −0.294044 0.169028i
\(629\) 2.63088 + 9.81860i 0.104900 + 0.391493i
\(630\) −78.3866 32.3823i −3.12300 1.29014i
\(631\) −23.9001 41.3962i −0.951449 1.64796i −0.742293 0.670076i \(-0.766262\pi\)
−0.209156 0.977882i \(-0.567072\pi\)
\(632\) 28.5098 22.0047i 1.13406 0.875301i
\(633\) 29.7138 17.1553i 1.18102 0.681860i
\(634\) 40.1200 5.32039i 1.59337 0.211299i
\(635\) 2.89223 + 2.89223i 0.114775 + 0.114775i
\(636\) −27.9043 27.7993i −1.10648 1.10231i
\(637\) −2.82618 + 10.5474i −0.111977 + 0.417905i
\(638\) −0.287835 + 0.375848i −0.0113955 + 0.0148799i
\(639\) −62.8451 −2.48611
\(640\) −5.13795 + 41.1217i −0.203095 + 1.62548i
\(641\) 18.3114 + 10.5721i 0.723256 + 0.417572i 0.815950 0.578123i \(-0.196215\pi\)
−0.0926940 + 0.995695i \(0.529548\pi\)
\(642\) 51.9412 + 6.78838i 2.04996 + 0.267916i
\(643\) 7.55317 2.02386i 0.297868 0.0798134i −0.106790 0.994282i \(-0.534057\pi\)
0.404658 + 0.914468i \(0.367391\pi\)
\(644\) 9.18948 + 2.44375i 0.362116 + 0.0962974i
\(645\) −57.4220 + 57.4220i −2.26099 + 2.26099i
\(646\) −32.4756 + 4.97551i −1.27774 + 0.195759i
\(647\) −20.3052 −0.798279 −0.399140 0.916890i \(-0.630691\pi\)
−0.399140 + 0.916890i \(0.630691\pi\)
\(648\) 59.1714 45.6703i 2.32447 1.79410i
\(649\) 0.455978 0.789777i 0.0178987 0.0310015i
\(650\) −42.8400 + 32.9365i −1.68032 + 1.29188i
\(651\) 2.58183 + 9.63551i 0.101190 + 0.377645i
\(652\) −36.8502 + 0.0694764i −1.44317 + 0.00272091i
\(653\) −14.0997 + 14.0997i −0.551763 + 0.551763i −0.926949 0.375186i \(-0.877579\pi\)
0.375186 + 0.926949i \(0.377579\pi\)
\(654\) 1.43768 1.87728i 0.0562178 0.0734076i
\(655\) 37.1382 21.4418i 1.45111 0.837800i
\(656\) 20.0506 + 11.4756i 0.782844 + 0.448048i
\(657\) 36.2935 1.41595
\(658\) 7.00912 + 5.36780i 0.273244 + 0.209259i
\(659\) 8.68240 + 2.32644i 0.338218 + 0.0906253i 0.423931 0.905695i \(-0.360650\pi\)
−0.0857125 + 0.996320i \(0.527317\pi\)
\(660\) 4.09027 2.37181i 0.159214 0.0923226i
\(661\) 14.4266 + 3.86560i 0.561131 + 0.150355i 0.528226 0.849104i \(-0.322857\pi\)
0.0329050 + 0.999458i \(0.489524\pi\)
\(662\) −8.07975 + 19.5584i −0.314028 + 0.760157i
\(663\) 39.4571 68.3418i 1.53239 2.65417i
\(664\) −3.41230 8.17258i −0.132423 0.317158i
\(665\) 29.2875 17.7067i 1.13572 0.686636i
\(666\) 20.4230 2.70832i 0.791374 0.104945i
\(667\) 3.62437 0.971146i 0.140336 0.0376029i
\(668\) −12.1229 + 45.5871i −0.469051 + 1.76382i
\(669\) −5.80551 1.55558i −0.224454 0.0601423i
\(670\) −8.78528 21.1531i −0.339405 0.817216i
\(671\) 1.88067 1.08581i 0.0726026 0.0419171i
\(672\) 24.2234 + 31.2623i 0.934436 + 1.20597i
\(673\) 31.3404i 1.20808i −0.796952 0.604042i \(-0.793556\pi\)
0.796952 0.604042i \(-0.206444\pi\)
\(674\) −0.775428 + 5.93318i −0.0298684 + 0.228537i
\(675\) 122.994 + 32.9562i 4.73405 + 1.26849i
\(676\) 14.6902 3.96592i 0.565007 0.152535i
\(677\) 7.39238 7.39238i 0.284112 0.284112i −0.550634 0.834747i \(-0.685614\pi\)
0.834747 + 0.550634i \(0.185614\pi\)
\(678\) 23.3790 + 30.4088i 0.897867 + 1.16784i
\(679\) −12.0320 6.94668i −0.461746 0.266589i
\(680\) 33.4904 43.9021i 1.28430 1.68357i
\(681\) −82.4014 47.5745i −3.15763 1.82306i
\(682\) −0.369042 0.152455i −0.0141313 0.00583779i
\(683\) 22.1398 + 22.1398i 0.847157 + 0.847157i 0.989778 0.142620i \(-0.0455527\pi\)
−0.142620 + 0.989778i \(0.545553\pi\)
\(684\) 1.46936 + 66.5716i 0.0561824 + 2.54543i
\(685\) 15.8213 15.8213i 0.604501 0.604501i
\(686\) 10.9356 + 26.3307i 0.417523 + 1.00531i
\(687\) 6.07413 10.5207i 0.231742 0.401390i
\(688\) 26.2357 7.13597i 1.00023 0.272056i
\(689\) −13.7055 + 23.7386i −0.522138 + 0.904369i
\(690\) −37.1599 4.85656i −1.41465 0.184886i
\(691\) 21.7581 + 21.7581i 0.827718 + 0.827718i 0.987201 0.159483i \(-0.0509827\pi\)
−0.159483 + 0.987201i \(0.550983\pi\)
\(692\) 10.1047 17.5784i 0.384125 0.668230i
\(693\) 0.838515 3.12938i 0.0318526 0.118875i
\(694\) −1.16419 + 0.895060i −0.0441921 + 0.0339760i
\(695\) −27.8402 −1.05604
\(696\) 14.4349 + 5.93136i 0.547154 + 0.224828i
\(697\) −15.3911 26.6582i −0.582979 1.00975i
\(698\) −36.6703 15.1489i −1.38799 0.573393i
\(699\) −22.0155 + 82.1629i −0.832702 + 3.10769i
\(700\) −9.27357 + 34.8723i −0.350508 + 1.31805i
\(701\) −1.17020 4.36724i −0.0441978 0.164948i 0.940300 0.340348i \(-0.110545\pi\)
−0.984497 + 0.175400i \(0.943878\pi\)
\(702\) −77.1066 59.0506i −2.91020 2.22872i
\(703\) −4.01055 + 7.28203i −0.151261 + 0.274647i
\(704\) −1.58302 + 0.00895382i −0.0596622 + 0.000337460i
\(705\) −30.1326 17.3971i −1.13486 0.655212i
\(706\) 10.8858 + 26.2108i 0.409694 + 0.986457i
\(707\) 5.77199 21.5414i 0.217078 0.810147i
\(708\) −29.0534 7.72616i −1.09189 0.290367i
\(709\) 8.09558 30.2131i 0.304036 1.13468i −0.629736 0.776809i \(-0.716837\pi\)
0.933772 0.357868i \(-0.116496\pi\)
\(710\) 5.60305 + 42.2516i 0.210279 + 1.58567i
\(711\) 97.2559i 3.64738i
\(712\) −5.34861 39.7576i −0.200448 1.48998i
\(713\) 1.58240 + 2.74080i 0.0592615 + 0.102644i
\(714\) −6.92744 52.2385i −0.259253 1.95498i
\(715\) −2.32667 2.32667i −0.0870127 0.0870127i
\(716\) −0.0209666 11.1207i −0.000783559 0.415599i
\(717\) −77.3694 + 20.7311i −2.88941 + 0.774216i
\(718\) −32.7117 4.27521i −1.22079 0.159549i
\(719\) 35.4566 + 20.4709i 1.32231 + 0.763435i 0.984097 0.177634i \(-0.0568445\pi\)
0.338212 + 0.941070i \(0.390178\pi\)
\(720\) −79.4318 78.8350i −2.96025 2.93801i
\(721\) 0.692377i 0.0257855i
\(722\) −21.9748 15.4632i −0.817816 0.575479i
\(723\) −2.15567 2.15567i −0.0801704 0.0801704i
\(724\) 40.4491 23.4551i 1.50328 0.871701i
\(725\) 3.68531 + 13.7538i 0.136869 + 0.510802i
\(726\) −30.8157 40.0815i −1.14368 1.48756i
\(727\) −2.10893 + 3.65278i −0.0782160 + 0.135474i −0.902480 0.430731i \(-0.858256\pi\)
0.824264 + 0.566205i \(0.191589\pi\)
\(728\) 16.6928 21.8824i 0.618677 0.811015i
\(729\) 53.8283i 1.99364i
\(730\) −3.23580 24.4006i −0.119762 0.903107i
\(731\) −34.9928 9.37629i −1.29426 0.346795i
\(732\) −50.7161 50.5252i −1.87452 1.86746i
\(733\) 1.94584 1.94584i 0.0718713 0.0718713i −0.670257 0.742129i \(-0.733816\pi\)
0.742129 + 0.670257i \(0.233816\pi\)
\(734\) −25.0366 19.1738i −0.924120 0.707719i
\(735\) −14.3687 24.8873i −0.529998 0.917983i
\(736\) 9.99031 + 7.59129i 0.368248 + 0.279819i
\(737\) 0.757735 0.437478i 0.0279115 0.0161147i
\(738\) −57.6161 + 23.9290i −2.12088 + 0.880840i
\(739\) −31.4035 + 8.41455i −1.15520 + 0.309534i −0.785046 0.619437i \(-0.787361\pi\)
−0.370151 + 0.928971i \(0.620694\pi\)
\(740\) −3.64168 13.4892i −0.133871 0.495871i
\(741\) 61.9909 17.9589i 2.27729 0.659736i
\(742\) 2.40625 + 18.1451i 0.0883364 + 0.666129i
\(743\) 9.49342 + 5.48103i 0.348280 + 0.201079i 0.663927 0.747797i \(-0.268888\pi\)
−0.315648 + 0.948876i \(0.602222\pi\)
\(744\) −1.68119 + 13.0551i −0.0616353 + 0.478623i
\(745\) −19.0802 + 11.0160i −0.699044 + 0.403593i
\(746\) 37.7820 + 15.6081i 1.38330 + 0.571453i
\(747\) 23.1016 + 6.19004i 0.845242 + 0.226482i
\(748\) 1.82868 + 1.05120i 0.0668633 + 0.0384357i
\(749\) −17.2128 17.2128i −0.628942 0.628942i
\(750\) 7.48196 57.2481i 0.273202 2.09040i
\(751\) 15.2926 + 26.4876i 0.558037 + 0.966548i 0.997660 + 0.0683658i \(0.0217785\pi\)
−0.439624 + 0.898182i \(0.644888\pi\)
\(752\) 5.86270 + 10.0666i 0.213791 + 0.367093i
\(753\) 11.2812i 0.411110i
\(754\) 1.40742 10.7689i 0.0512552 0.392179i
\(755\) −6.83163 25.4960i −0.248628 0.927894i
\(756\) −64.8532 + 0.122273i −2.35869 + 0.00444701i
\(757\) −8.03178 + 2.15211i −0.291920 + 0.0782197i −0.401807 0.915724i \(-0.631618\pi\)
0.109887 + 0.993944i \(0.464951\pi\)
\(758\) −19.9776 + 48.3591i −0.725619 + 1.75648i
\(759\) 1.43156i 0.0519623i
\(760\) 44.6259 6.92316i 1.61875 0.251129i
\(761\) 1.50692i 0.0546257i 0.999627 + 0.0273129i \(0.00869503\pi\)
−0.999627 + 0.0273129i \(0.991305\pi\)
\(762\) 4.76048 + 1.96660i 0.172454 + 0.0712424i
\(763\) −1.06138 + 0.284395i −0.0384244 + 0.0102958i
\(764\) −4.88665 4.86826i −0.176793 0.176128i
\(765\) 38.5939 + 144.034i 1.39536 + 5.20757i
\(766\) 5.73255 + 0.749207i 0.207125 + 0.0270700i
\(767\) 20.9214i 0.755427i
\(768\) 13.8865 + 50.3044i 0.501084 + 1.81520i
\(769\) 20.7174 + 35.8836i 0.747090 + 1.29400i 0.949212 + 0.314637i \(0.101883\pi\)
−0.202123 + 0.979360i \(0.564784\pi\)
\(770\) −2.17868 0.284740i −0.0785142 0.0102613i
\(771\) −55.0535 55.0535i −1.98270 1.98270i
\(772\) −1.29178 + 0.348742i −0.0464920 + 0.0125515i
\(773\) −5.91854 1.58587i −0.212875 0.0570397i 0.150805 0.988563i \(-0.451813\pi\)
−0.363680 + 0.931524i \(0.618480\pi\)
\(774\) −28.0339 + 67.8607i −1.00766 + 2.43920i
\(775\) −10.4008 + 6.00492i −0.373609 + 0.215703i
\(776\) −11.2014 14.5127i −0.402105 0.520977i
\(777\) −11.5475 6.66698i −0.414266 0.239176i
\(778\) 18.2692 2.42271i 0.654984 0.0868585i
\(779\) 6.02372 24.4439i 0.215822 0.875793i
\(780\) −54.0580 + 94.0402i −1.93559 + 3.36718i
\(781\) −1.57264 + 0.421388i −0.0562735 + 0.0150784i
\(782\) −6.41239 15.4397i −0.229307 0.552123i
\(783\) −22.1627 + 12.7956i −0.792029 + 0.457278i
\(784\) 0.0362803 + 9.62148i 0.00129572 + 0.343624i
\(785\) −7.78323 13.4810i −0.277795 0.481156i
\(786\) 32.8339 42.8736i 1.17115 1.52925i
\(787\) −15.5452 + 15.5452i −0.554126 + 0.554126i −0.927629 0.373503i \(-0.878157\pi\)
0.373503 + 0.927629i \(0.378157\pi\)
\(788\) 4.95415 0.00934044i 0.176484 0.000332739i
\(789\) −43.8649 11.7536i −1.56163 0.418438i
\(790\) 65.3863 8.67099i 2.32634 0.308500i
\(791\) 17.8247i 0.633775i
\(792\) 2.59285 3.39893i 0.0921329 0.120776i
\(793\) −24.9097 + 43.1449i −0.884570 + 1.53212i
\(794\) 36.3222 27.9254i 1.28903 0.991036i
\(795\) −18.6709 69.6807i −0.662188 2.47132i
\(796\) −2.80089 0.744839i −0.0992749 0.0264001i
\(797\) −19.6570 19.6570i −0.696286 0.696286i 0.267321 0.963607i \(-0.413862\pi\)
−0.963607 + 0.267321i \(0.913862\pi\)
\(798\) 25.5078 34.7379i 0.902967 1.22971i
\(799\) 15.5220i 0.549129i
\(800\) −28.8075 + 37.9113i −1.01850 + 1.34037i
\(801\) 93.8185 + 54.1661i 3.31491 + 1.91387i
\(802\) 4.81702 36.8573i 0.170095 1.30148i
\(803\) 0.908212 0.243355i 0.0320501 0.00858780i
\(804\) −20.4338 20.3569i −0.720645 0.717933i
\(805\) 12.3144 + 12.3144i 0.434026 + 0.434026i
\(806\) 9.08074 1.20421i 0.319855 0.0424165i
\(807\) 11.0480 + 19.1356i 0.388906 + 0.673606i
\(808\) 17.8481 23.3968i 0.627894 0.823096i
\(809\) 13.1421i 0.462050i −0.972948 0.231025i \(-0.925792\pi\)
0.972948 0.231025i \(-0.0742080\pi\)
\(810\) 135.708 17.9964i 4.76828 0.632330i
\(811\) −4.17959 + 15.5985i −0.146765 + 0.547736i 0.852905 + 0.522066i \(0.174839\pi\)
−0.999670 + 0.0256699i \(0.991828\pi\)
\(812\) −3.63792 6.27372i −0.127666 0.220165i
\(813\) −19.0839 + 71.2222i −0.669303 + 2.49787i
\(814\) 0.492906 0.204713i 0.0172764 0.00717519i
\(815\) −58.4482 33.7451i −2.04735 1.18204i
\(816\) 17.7433 67.2321i 0.621141 2.35359i
\(817\) −15.3290 25.3547i −0.536294 0.887049i
\(818\) −5.57981 + 7.28596i −0.195093 + 0.254748i
\(819\) 19.2366 + 71.7918i 0.672180 + 2.50861i
\(820\) 21.2246 + 36.6026i 0.741196 + 1.27822i
\(821\) 10.1747 37.9726i 0.355100 1.32525i −0.525258 0.850943i \(-0.676031\pi\)
0.880358 0.474309i \(-0.157302\pi\)
\(822\) 10.7578 26.0411i 0.375223 0.908289i
\(823\) −9.65950 16.7307i −0.336709 0.583197i 0.647103 0.762403i \(-0.275980\pi\)
−0.983812 + 0.179206i \(0.942647\pi\)
\(824\) −0.347237 + 0.845055i −0.0120966 + 0.0294389i
\(825\) 5.43249 0.189135
\(826\) 8.51513 + 11.0755i 0.296279 + 0.385366i
\(827\) −4.71837 + 17.6092i −0.164074 + 0.612332i 0.834083 + 0.551640i \(0.185998\pi\)
−0.998157 + 0.0606925i \(0.980669\pi\)
\(828\) −32.7127 + 8.83147i −1.13684 + 0.306915i
\(829\) 13.3559 + 13.3559i 0.463869 + 0.463869i 0.899921 0.436052i \(-0.143624\pi\)
−0.436052 + 0.899921i \(0.643624\pi\)
\(830\) 2.10199 16.0834i 0.0729612 0.558261i
\(831\) 43.5503 75.4313i 1.51074 2.61668i
\(832\) 31.3481 18.3360i 1.08680 0.635688i
\(833\) 6.41001 11.1025i 0.222094 0.384678i
\(834\) −32.3770 + 13.4468i −1.12112 + 0.465623i
\(835\) −61.0891 + 61.0891i −2.11408 + 2.11408i
\(836\) 0.483144 + 1.65604i 0.0167099 + 0.0572754i
\(837\) −15.2629 15.2629i −0.527561 0.527561i
\(838\) −15.5476 + 37.6356i −0.537083 + 1.30010i
\(839\) −29.6645 17.1268i −1.02413 0.591282i −0.108833 0.994060i \(-0.534711\pi\)
−0.915298 + 0.402778i \(0.868045\pi\)
\(840\) 9.65736 + 71.7856i 0.333211 + 2.47684i
\(841\) 22.6364 + 13.0691i 0.780566 + 0.450660i
\(842\) −29.4691 + 22.6566i −1.01557 + 0.780798i
\(843\) 50.0078 50.0078i 1.72236 1.72236i
\(844\) −18.2401 10.4851i −0.627849 0.360912i
\(845\) 26.9183 + 7.21273i 0.926017 + 0.248125i
\(846\) −31.1938 4.07683i −1.07247 0.140164i
\(847\) 23.4946i 0.807285i
\(848\) −6.16317 + 23.3531i −0.211644 + 0.801950i
\(849\) 15.4163 8.90058i 0.529084 0.305467i
\(850\) 58.5907 24.3338i 2.00964 0.834642i
\(851\) −4.08620 1.09489i −0.140073 0.0375325i
\(852\) 26.9235 + 46.4305i 0.922384 + 1.59068i
\(853\) 41.6756 11.1669i 1.42694 0.382349i 0.539003 0.842304i \(-0.318801\pi\)
0.887942 + 0.459955i \(0.152135\pi\)
\(854\) 4.37337 + 32.9788i 0.149654 + 1.12851i
\(855\) −58.8329 + 106.824i −2.01204 + 3.65330i
\(856\) −12.3760 29.6409i −0.423002 1.01310i
\(857\) −5.35091 + 9.26805i −0.182784 + 0.316591i −0.942827 0.333281i \(-0.891844\pi\)
0.760044 + 0.649872i \(0.225177\pi\)
\(858\) −3.82960 1.58204i −0.130740 0.0540101i
\(859\) 18.2709 + 4.89569i 0.623397 + 0.167039i 0.556671 0.830733i \(-0.312078\pi\)
0.0667253 + 0.997771i \(0.478745\pi\)
\(860\) 48.1230 + 12.7973i 1.64098 + 0.436385i
\(861\) 39.0029 + 10.4508i 1.32921 + 0.356162i
\(862\) 19.6520 25.6610i 0.669350 0.874019i
\(863\) 6.68720 0.227635 0.113818 0.993502i \(-0.463692\pi\)
0.113818 + 0.993502i \(0.463692\pi\)
\(864\) −79.2155 32.3755i −2.69497 1.10144i
\(865\) 32.1593 18.5672i 1.09345 0.631304i
\(866\) 38.2296 + 29.2774i 1.29909 + 0.994885i
\(867\) −26.3055 + 26.3055i −0.893382 + 0.893382i
\(868\) 4.31710 4.33341i 0.146532 0.147086i
\(869\) 0.652118 + 2.43374i 0.0221216 + 0.0825589i
\(870\) 17.4210 + 22.6592i 0.590626 + 0.768218i
\(871\) −10.0363 + 17.3833i −0.340066 + 0.589012i
\(872\) −1.43805 0.185187i −0.0486986 0.00627124i
\(873\) 49.5075 1.67557
\(874\) 4.96445 12.7400i 0.167925 0.430936i
\(875\) −18.9714 + 18.9714i −0.641352 + 0.641352i
\(876\) −15.5485 26.8140i −0.525336 0.905960i
\(877\) −0.384214 + 0.102950i −0.0129740 + 0.00347637i −0.265300 0.964166i \(-0.585471\pi\)
0.252326 + 0.967642i \(0.418804\pi\)
\(878\) 4.08767 31.2768i 0.137952 1.05554i
\(879\) 20.0900 + 11.5989i 0.677618 + 0.391223i
\(880\) −2.51631 1.44017i −0.0848248 0.0485481i
\(881\) −11.4634 −0.386212 −0.193106 0.981178i \(-0.561856\pi\)
−0.193106 + 0.981178i \(0.561856\pi\)
\(882\) −20.6285 15.7980i −0.694599 0.531945i
\(883\) −9.13331 + 34.0860i −0.307360 + 1.14708i 0.623534 + 0.781796i \(0.285696\pi\)
−0.930894 + 0.365288i \(0.880970\pi\)
\(884\) −48.3896 + 0.0912325i −1.62752 + 0.00306848i
\(885\) −38.9331 38.9331i −1.30872 1.30872i
\(886\) −1.49478 11.2718i −0.0502180 0.378685i
\(887\) −8.46496 + 4.88725i −0.284225 + 0.164098i −0.635335 0.772237i \(-0.719138\pi\)
0.351109 + 0.936334i \(0.385805\pi\)
\(888\) −10.7503 13.9284i −0.360758 0.467406i
\(889\) −1.19677 2.07287i −0.0401385 0.0695220i
\(890\) 28.0520 67.9046i 0.940307 2.27617i
\(891\) 1.35346 + 5.05116i 0.0453425 + 0.169220i
\(892\) 0.960582 + 3.55809i 0.0321627 + 0.119134i
\(893\) 8.79348 9.15579i 0.294262 0.306387i
\(894\) −16.8688 + 22.0268i −0.564176 + 0.736686i
\(895\) 10.1836 17.6385i 0.340400 0.589590i
\(896\) 9.13241 22.4657i 0.305092 0.750528i
\(897\) 16.4209 + 28.4418i 0.548276 + 0.949643i
\(898\) 38.9126 16.1611i 1.29853 0.539303i
\(899\) 0.624717 2.33148i 0.0208355 0.0777591i
\(900\) −33.5137 124.138i −1.11712 4.13794i
\(901\) 22.7560 22.7560i 0.758111 0.758111i
\(902\) −1.28134 + 0.985128i −0.0426640 + 0.0328012i
\(903\) 41.1546 23.7606i 1.36954 0.790705i
\(904\) 8.93935 21.7553i 0.297318 0.723571i
\(905\) 85.6350 2.84661
\(906\) −20.2594 26.3511i −0.673073 0.875456i
\(907\) −10.5242 + 2.81996i −0.349452 + 0.0936353i −0.429275 0.903174i \(-0.641231\pi\)
0.0798237 + 0.996809i \(0.474564\pi\)
\(908\) 0.110001 + 58.3445i 0.00365052 + 1.93623i
\(909\) 20.5679 + 76.7603i 0.682193 + 2.54598i
\(910\) 46.5515 19.3337i 1.54317 0.640905i
\(911\) −9.22156 −0.305524 −0.152762 0.988263i \(-0.548817\pi\)
−0.152762 + 0.988263i \(0.548817\pi\)
\(912\) 48.5542 29.6056i 1.60779 0.980338i
\(913\) 0.619601 0.0205058
\(914\) −36.2934 + 15.0733i −1.20048 + 0.498580i
\(915\) −33.9343 126.645i −1.12183 4.18674i
\(916\) −7.44921 + 0.0140445i −0.246129 + 0.000464045i
\(917\) −24.2398 + 6.49504i −0.800469 + 0.214485i
\(918\) 69.4987 + 90.3959i 2.29380 + 2.98351i
\(919\) −27.0323 −0.891714 −0.445857 0.895104i \(-0.647101\pi\)
−0.445857 + 0.895104i \(0.647101\pi\)
\(920\) 8.85405 + 21.2057i 0.291909 + 0.699133i
\(921\) 66.9639 38.6616i 2.20654 1.27394i
\(922\) −45.2372 + 34.7795i −1.48981 + 1.14540i
\(923\) 26.4111 26.4111i 0.869333 0.869333i
\(924\) −2.67124 + 0.721158i −0.0878774 + 0.0237244i
\(925\) 4.15491 15.5063i 0.136613 0.509845i
\(926\) −11.6684 + 4.84610i −0.383447 + 0.159253i
\(927\) −1.23360 2.13667i −0.0405169 0.0701773i
\(928\) −1.29377 9.48163i −0.0424702 0.311250i
\(929\) −10.7154 + 18.5596i −0.351561 + 0.608922i −0.986523 0.163622i \(-0.947682\pi\)
0.634962 + 0.772543i \(0.281016\pi\)
\(930\) −14.6576 + 19.1395i −0.480643 + 0.627610i
\(931\) 10.0707 2.91751i 0.330055 0.0956176i
\(932\) 50.3561 13.5947i 1.64947 0.445309i
\(933\) 10.0026 + 37.3302i 0.327470 + 1.22213i
\(934\) 19.3362 46.8065i 0.632701 1.53156i
\(935\) 1.93155 + 3.34554i 0.0631685 + 0.109411i
\(936\) −12.5261 + 97.2702i −0.409429 + 3.17938i
\(937\) −44.5486 + 25.7202i −1.45534 + 0.840241i −0.998777 0.0494501i \(-0.984253\pi\)
−0.456563 + 0.889691i \(0.650920\pi\)
\(938\) 1.76206 + 13.2873i 0.0575332 + 0.433847i
\(939\) 31.5768 + 31.5768i 1.03047 + 1.03047i
\(940\) 0.0402254 + 21.3355i 0.00131201 + 0.695887i
\(941\) −1.29916 + 4.84855i −0.0423515 + 0.158058i −0.983863 0.178922i \(-0.942739\pi\)
0.941512 + 0.336980i \(0.109406\pi\)
\(942\) −15.5628 11.9185i −0.507064 0.388325i
\(943\) 12.8106 0.417171
\(944\) 4.83831 + 17.7883i 0.157474 + 0.578958i
\(945\) −102.864 59.3884i −3.34616 1.93191i
\(946\) −0.246504 + 1.88612i −0.00801455 + 0.0613232i
\(947\) 35.6782 9.55994i 1.15938 0.310656i 0.372665 0.927966i \(-0.378444\pi\)
0.786720 + 0.617310i \(0.211778\pi\)
\(948\) 71.8535 41.6654i 2.33369 1.35323i
\(949\) −15.2526 + 15.2526i −0.495121 + 0.495121i
\(950\) 48.3458 + 18.8391i 1.56854 + 0.611221i
\(951\) 93.3394 3.02674
\(952\) −25.5797 + 19.7432i −0.829042 + 0.639880i
\(953\) 28.0503 48.5846i 0.908639 1.57381i 0.0926835 0.995696i \(-0.470456\pi\)
0.815956 0.578114i \(-0.196211\pi\)
\(954\) −39.7548 51.7084i −1.28711 1.67412i
\(955\) −3.26968 12.2026i −0.105804 0.394867i
\(956\) 34.7956 + 34.6647i 1.12537 + 1.12114i
\(957\) −0.772030 + 0.772030i −0.0249562 + 0.0249562i
\(958\) 10.6856 + 8.18334i 0.345236 + 0.264392i
\(959\) −11.3392 + 6.54669i −0.366162 + 0.211404i
\(960\) −24.2145 + 92.4586i −0.781521 + 2.98409i
\(961\) −28.9641 −0.934327
\(962\) −7.44471 + 9.72110i −0.240027 + 0.313421i
\(963\) 83.7864 + 22.4505i 2.69998 + 0.723457i
\(964\) −0.480423 + 1.80658i −0.0154734 + 0.0581860i
\(965\) −2.36705 0.634249i −0.0761980 0.0204172i
\(966\) 20.2690 + 8.37330i 0.652143 + 0.269407i
\(967\) 8.42961 14.6005i 0.271078 0.469521i −0.698060 0.716039i \(-0.745953\pi\)
0.969138 + 0.246518i \(0.0792865\pi\)
\(968\) −11.7829 + 28.6755i −0.378716 + 0.921666i
\(969\) −75.7575 + 1.52921i −2.43368 + 0.0491254i
\(970\) −4.41391 33.2845i −0.141722 1.06870i
\(971\) 25.0293 6.70658i 0.803228 0.215224i 0.166227 0.986087i \(-0.446841\pi\)
0.637001 + 0.770863i \(0.280175\pi\)
\(972\) 70.6091 40.9439i 2.26479 1.31328i
\(973\) 15.7366 + 4.21661i 0.504493 + 0.135178i
\(974\) −36.8531 + 15.3058i −1.18085 + 0.490429i
\(975\) −107.931 + 62.3140i −3.45656 + 1.99564i
\(976\) −11.2016 + 42.4443i −0.358553 + 1.35861i
\(977\) 18.2558i 0.584056i 0.956410 + 0.292028i \(0.0943300\pi\)
−0.956410 + 0.292028i \(0.905670\pi\)
\(978\) −84.2716 11.0138i −2.69471 0.352181i
\(979\) 2.71091 + 0.726387i 0.0866412 + 0.0232154i
\(980\) −8.78200 + 15.2773i −0.280531 + 0.488016i
\(981\) 2.76869 2.76869i 0.0883975 0.0883975i
\(982\) −5.37421 + 4.13183i −0.171498 + 0.131852i
\(983\) −40.0986 23.1510i −1.27895 0.738401i −0.302293 0.953215i \(-0.597752\pi\)
−0.976655 + 0.214814i \(0.931085\pi\)
\(984\) 42.3623 + 32.3158i 1.35046 + 1.03019i
\(985\) 7.85779 + 4.53670i 0.250370 + 0.144551i
\(986\) −4.86836 + 11.7847i −0.155040 + 0.375301i
\(987\) 14.3975 + 14.3975i 0.458276 + 0.458276i
\(988\) −28.5947 27.3597i −0.909719 0.870428i
\(989\) 10.6608 10.6608i 0.338994 0.338994i
\(990\) 7.23070 3.00304i 0.229807 0.0954430i
\(991\) −16.7390 + 28.9929i −0.531733 + 0.920989i 0.467581 + 0.883950i \(0.345126\pi\)
−0.999314 + 0.0370385i \(0.988208\pi\)
\(992\) 7.44235 3.12390i 0.236295 0.0991839i
\(993\) −24.4026 + 42.2665i −0.774393 + 1.34129i
\(994\) 3.23221 24.7312i 0.102520 0.784426i
\(995\) −3.75334 3.75334i −0.118989 0.118989i
\(996\) −5.32369 19.7195i −0.168688 0.624836i
\(997\) −9.40762 + 35.1097i −0.297942 + 1.11194i 0.640910 + 0.767616i \(0.278557\pi\)
−0.938852 + 0.344320i \(0.888110\pi\)
\(998\) 9.10749 + 11.8460i 0.288293 + 0.374978i
\(999\) 28.8522 0.912843
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 304.2.x.c.27.14 144
16.3 odd 4 inner 304.2.x.c.179.2 yes 144
19.12 odd 6 inner 304.2.x.c.107.2 yes 144
304.259 even 12 inner 304.2.x.c.259.14 yes 144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
304.2.x.c.27.14 144 1.1 even 1 trivial
304.2.x.c.107.2 yes 144 19.12 odd 6 inner
304.2.x.c.179.2 yes 144 16.3 odd 4 inner
304.2.x.c.259.14 yes 144 304.259 even 12 inner