Properties

Label 605.2.o.a.34.2
Level $605$
Weight $2$
Character 605.34
Analytic conductor $4.831$
Analytic rank $0$
Dimension $640$
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] = [605,2,Mod(34,605)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(605, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("605.34");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.o (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(64\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 34.2
Character \(\chi\) \(=\) 605.34
Dual form 605.2.o.a.89.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.64166 + 0.379813i) q^{2} +3.02441i q^{3} +(4.91512 - 1.44321i) q^{4} +(2.12227 + 0.704262i) q^{5} +(-1.14871 - 7.98946i) q^{6} +(2.30183 - 3.58171i) q^{7} +(-7.58062 + 3.46195i) q^{8} -6.14705 q^{9} +O(q^{10})\) \(q+(-2.64166 + 0.379813i) q^{2} +3.02441i q^{3} +(4.91512 - 1.44321i) q^{4} +(2.12227 + 0.704262i) q^{5} +(-1.14871 - 7.98946i) q^{6} +(2.30183 - 3.58171i) q^{7} +(-7.58062 + 3.46195i) q^{8} -6.14705 q^{9} +(-5.87379 - 1.05436i) q^{10} +(3.13060 - 1.09514i) q^{11} +(4.36485 + 14.8653i) q^{12} +(-0.00468916 - 0.0159698i) q^{13} +(-4.72026 + 10.3359i) q^{14} +(-2.12998 + 6.41860i) q^{15} +(10.0917 - 6.48553i) q^{16} +(0.0222853 - 0.0193103i) q^{17} +(16.2384 - 2.33473i) q^{18} +(4.19287 - 4.83883i) q^{19} +(11.4476 + 0.398658i) q^{20} +(10.8326 + 6.96166i) q^{21} +(-7.85403 + 4.08204i) q^{22} +(-1.60598 - 2.49895i) q^{23} +(-10.4704 - 22.9269i) q^{24} +(4.00803 + 2.98926i) q^{25} +(0.0184527 + 0.0404058i) q^{26} -9.51796i q^{27} +(6.14459 - 20.9266i) q^{28} +(-0.497725 + 0.574406i) q^{29} +(3.18880 - 17.7648i) q^{30} +(3.94605 + 1.15867i) q^{31} +(-11.5991 + 10.0506i) q^{32} +(3.31216 + 9.46822i) q^{33} +(-0.0515359 + 0.0594756i) q^{34} +(7.40755 - 5.98026i) q^{35} +(-30.2135 + 8.87148i) q^{36} +(0.849385 - 2.89274i) q^{37} +(-9.23829 + 14.3751i) q^{38} +(0.0482992 - 0.0141819i) q^{39} +(-18.5262 + 2.00844i) q^{40} +(0.690921 + 4.80546i) q^{41} +(-31.2601 - 14.2760i) q^{42} +(-1.48282 + 0.677183i) q^{43} +(13.8067 - 9.90088i) q^{44} +(-13.0457 - 4.32913i) q^{45} +(5.19159 + 5.99141i) q^{46} +(11.5940 + 1.66697i) q^{47} +(19.6149 + 30.5214i) q^{48} +(-4.62235 - 10.1215i) q^{49} +(-11.7232 - 6.37431i) q^{50} +(0.0584023 + 0.0673999i) q^{51} +(-0.0460955 - 0.0717260i) q^{52} +(3.34391 - 5.20323i) q^{53} +(3.61505 + 25.1432i) q^{54} +(7.41524 - 0.119425i) q^{55} +(-5.04955 + 35.1204i) q^{56} +(14.6346 + 12.6810i) q^{57} +(1.09665 - 1.70643i) q^{58} +(-1.25764 + 8.74704i) q^{59} +(-1.20571 + 34.6222i) q^{60} +(1.00452 - 6.98659i) q^{61} +(-10.8642 - 1.56204i) q^{62} +(-14.1494 + 22.0170i) q^{63} +(11.1120 - 12.8239i) q^{64} +(0.00129529 - 0.0371946i) q^{65} +(-12.3458 - 23.7538i) q^{66} +(-12.8402 + 1.84614i) q^{67} +(0.0816661 - 0.127075i) q^{68} +(7.55786 - 4.85714i) q^{69} +(-17.2968 + 18.6113i) q^{70} +(-7.08262 + 8.17378i) q^{71} +(46.5985 - 21.2808i) q^{72} +(-0.120273 - 0.187148i) q^{73} +(-1.14509 + 7.96424i) q^{74} +(-9.04076 + 12.1219i) q^{75} +(13.6250 - 29.8346i) q^{76} +(3.28361 - 13.7337i) q^{77} +(-0.122204 + 0.0558085i) q^{78} +(-2.04526 + 4.47848i) q^{79} +(25.9847 - 6.65683i) q^{80} +10.3451 q^{81} +(-3.65036 - 12.4320i) q^{82} +(-4.63523 + 7.21256i) q^{83} +(63.2904 + 18.5838i) q^{84} +(0.0608949 - 0.0252870i) q^{85} +(3.65991 - 2.35208i) q^{86} +(-1.73724 - 1.50533i) q^{87} +(-19.9406 + 19.1399i) q^{88} +(-4.83675 - 5.58190i) q^{89} +(36.1065 + 6.48118i) q^{90} +(-0.0679928 - 0.0199645i) q^{91} +(-11.5001 - 9.96489i) q^{92} +(-3.50428 + 11.9345i) q^{93} -31.2606 q^{94} +(12.3062 - 7.31641i) q^{95} +(-30.3973 - 35.0803i) q^{96} +(-7.70725 + 3.51978i) q^{97} +(16.0550 + 24.9820i) q^{98} +(-19.2440 + 6.73191i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q + 44 q^{4} - 7 q^{5} + 14 q^{6} - 644 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q + 44 q^{4} - 7 q^{5} + 14 q^{6} - 644 q^{9} - 23 q^{10} + 4 q^{11} - 30 q^{14} + 18 q^{15} - 100 q^{16} - 6 q^{19} - 3 q^{20} + 32 q^{21} + 128 q^{24} - 15 q^{25} - 26 q^{26} - 10 q^{29} + 28 q^{30} - 18 q^{31} - 34 q^{34} - 29 q^{35} - 66 q^{36} + 44 q^{39} - 50 q^{40} - 34 q^{41} - 28 q^{44} - 43 q^{45} - 14 q^{46} + 102 q^{49} + 29 q^{50} - 148 q^{51} + 90 q^{54} - 102 q^{55} - 106 q^{56} - 34 q^{59} + 58 q^{60} - 42 q^{61} + 24 q^{64} + 22 q^{65} + 52 q^{66} + 20 q^{69} - 75 q^{70} + 54 q^{71} - 34 q^{74} - 4 q^{75} - 2 q^{76} + 50 q^{79} - 160 q^{80} + 560 q^{81} - 4 q^{84} - 57 q^{85} + 6 q^{86} - 128 q^{89} + 39 q^{90} - 80 q^{91} - 88 q^{94} + 65 q^{95} + 8 q^{96} - 266 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.64166 + 0.379813i −1.86794 + 0.268569i −0.981098 0.193513i \(-0.938012\pi\)
−0.886837 + 0.462082i \(0.847103\pi\)
\(3\) 3.02441i 1.74614i 0.487592 + 0.873072i \(0.337875\pi\)
−0.487592 + 0.873072i \(0.662125\pi\)
\(4\) 4.91512 1.44321i 2.45756 0.721605i
\(5\) 2.12227 + 0.704262i 0.949106 + 0.314956i
\(6\) −1.14871 7.98946i −0.468959 3.26168i
\(7\) 2.30183 3.58171i 0.870008 1.35376i −0.0645368 0.997915i \(-0.520557\pi\)
0.934545 0.355844i \(-0.115807\pi\)
\(8\) −7.58062 + 3.46195i −2.68015 + 1.22399i
\(9\) −6.14705 −2.04902
\(10\) −5.87379 1.05436i −1.85746 0.333417i
\(11\) 3.13060 1.09514i 0.943912 0.330198i
\(12\) 4.36485 + 14.8653i 1.26002 + 4.29125i
\(13\) −0.00468916 0.0159698i −0.00130054 0.00442923i 0.958840 0.283946i \(-0.0916438\pi\)
−0.960141 + 0.279517i \(0.909826\pi\)
\(14\) −4.72026 + 10.3359i −1.26154 + 2.76239i
\(15\) −2.12998 + 6.41860i −0.549958 + 1.65728i
\(16\) 10.0917 6.48553i 2.52292 1.62138i
\(17\) 0.0222853 0.0193103i 0.00540498 0.00468344i −0.652154 0.758086i \(-0.726134\pi\)
0.657559 + 0.753403i \(0.271589\pi\)
\(18\) 16.2384 2.33473i 3.82743 0.550301i
\(19\) 4.19287 4.83883i 0.961911 1.11010i −0.0319520 0.999489i \(-0.510172\pi\)
0.993863 0.110615i \(-0.0352822\pi\)
\(20\) 11.4476 + 0.398658i 2.55976 + 0.0891427i
\(21\) 10.8326 + 6.96166i 2.36386 + 1.51916i
\(22\) −7.85403 + 4.08204i −1.67448 + 0.870294i
\(23\) −1.60598 2.49895i −0.334870 0.521068i 0.632458 0.774594i \(-0.282046\pi\)
−0.967328 + 0.253526i \(0.918410\pi\)
\(24\) −10.4704 22.9269i −2.13725 4.67993i
\(25\) 4.00803 + 2.98926i 0.801606 + 0.597853i
\(26\) 0.0184527 + 0.0404058i 0.00361887 + 0.00792422i
\(27\) 9.51796i 1.83173i
\(28\) 6.14459 20.9266i 1.16122 3.95475i
\(29\) −0.497725 + 0.574406i −0.0924253 + 0.106664i −0.800078 0.599896i \(-0.795209\pi\)
0.707653 + 0.706560i \(0.249754\pi\)
\(30\) 3.18880 17.7648i 0.582193 3.24338i
\(31\) 3.94605 + 1.15867i 0.708732 + 0.208102i 0.616180 0.787605i \(-0.288679\pi\)
0.0925519 + 0.995708i \(0.470498\pi\)
\(32\) −11.5991 + 10.0506i −2.05044 + 1.77672i
\(33\) 3.31216 + 9.46822i 0.576574 + 1.64820i
\(34\) −0.0515359 + 0.0594756i −0.00883833 + 0.0102000i
\(35\) 7.40755 5.98026i 1.25210 1.01085i
\(36\) −30.2135 + 8.87148i −5.03558 + 1.47858i
\(37\) 0.849385 2.89274i 0.139638 0.475564i −0.859744 0.510726i \(-0.829377\pi\)
0.999382 + 0.0351624i \(0.0111948\pi\)
\(38\) −9.23829 + 14.3751i −1.49865 + 2.33194i
\(39\) 0.0482992 0.0141819i 0.00773406 0.00227093i
\(40\) −18.5262 + 2.00844i −2.92925 + 0.317563i
\(41\) 0.690921 + 4.80546i 0.107904 + 0.750487i 0.969888 + 0.243552i \(0.0783126\pi\)
−0.861984 + 0.506935i \(0.830778\pi\)
\(42\) −31.2601 14.2760i −4.82353 2.20283i
\(43\) −1.48282 + 0.677183i −0.226128 + 0.103269i −0.525258 0.850943i \(-0.676031\pi\)
0.299129 + 0.954213i \(0.403304\pi\)
\(44\) 13.8067 9.90088i 2.08145 1.49261i
\(45\) −13.0457 4.32913i −1.94473 0.645349i
\(46\) 5.19159 + 5.99141i 0.765458 + 0.883385i
\(47\) 11.5940 + 1.66697i 1.69116 + 0.243153i 0.919560 0.392950i \(-0.128545\pi\)
0.771604 + 0.636103i \(0.219455\pi\)
\(48\) 19.6149 + 30.5214i 2.83117 + 4.40538i
\(49\) −4.62235 10.1215i −0.660335 1.44593i
\(50\) −11.7232 6.37431i −1.65791 0.901464i
\(51\) 0.0584023 + 0.0673999i 0.00817796 + 0.00943787i
\(52\) −0.0460955 0.0717260i −0.00639230 0.00994661i
\(53\) 3.34391 5.20323i 0.459322 0.714719i −0.531917 0.846796i \(-0.678528\pi\)
0.991239 + 0.132077i \(0.0421647\pi\)
\(54\) 3.61505 + 25.1432i 0.491946 + 3.42156i
\(55\) 7.41524 0.119425i 0.999870 0.0161032i
\(56\) −5.04955 + 35.1204i −0.674775 + 4.69316i
\(57\) 14.6346 + 12.6810i 1.93840 + 1.67963i
\(58\) 1.09665 1.70643i 0.143998 0.224065i
\(59\) −1.25764 + 8.74704i −0.163730 + 1.13877i 0.727794 + 0.685795i \(0.240546\pi\)
−0.891524 + 0.452973i \(0.850364\pi\)
\(60\) −1.20571 + 34.6222i −0.155656 + 4.46971i
\(61\) 1.00452 6.98659i 0.128616 0.894542i −0.818696 0.574228i \(-0.805302\pi\)
0.947311 0.320314i \(-0.103788\pi\)
\(62\) −10.8642 1.56204i −1.37975 0.198379i
\(63\) −14.1494 + 22.0170i −1.78266 + 2.77388i
\(64\) 11.1120 12.8239i 1.38900 1.60299i
\(65\) 0.00129529 0.0371946i 0.000160661 0.00461342i
\(66\) −12.3458 23.7538i −1.51966 2.92389i
\(67\) −12.8402 + 1.84614i −1.56868 + 0.225542i −0.871152 0.491013i \(-0.836627\pi\)
−0.697530 + 0.716556i \(0.745718\pi\)
\(68\) 0.0816661 0.127075i 0.00990347 0.0154101i
\(69\) 7.55786 4.85714i 0.909859 0.584731i
\(70\) −17.2968 + 18.6113i −2.06737 + 2.22447i
\(71\) −7.08262 + 8.17378i −0.840553 + 0.970050i −0.999852 0.0171806i \(-0.994531\pi\)
0.159300 + 0.987230i \(0.449076\pi\)
\(72\) 46.5985 21.2808i 5.49168 2.50797i
\(73\) −0.120273 0.187148i −0.0140769 0.0219041i 0.834144 0.551547i \(-0.185962\pi\)
−0.848221 + 0.529643i \(0.822326\pi\)
\(74\) −1.14509 + 7.96424i −0.133113 + 0.925824i
\(75\) −9.04076 + 12.1219i −1.04394 + 1.39972i
\(76\) 13.6250 29.8346i 1.56290 3.42227i
\(77\) 3.28361 13.7337i 0.374202 1.56510i
\(78\) −0.122204 + 0.0558085i −0.0138368 + 0.00631907i
\(79\) −2.04526 + 4.47848i −0.230109 + 0.503869i −0.989102 0.147230i \(-0.952964\pi\)
0.758993 + 0.651099i \(0.225692\pi\)
\(80\) 25.9847 6.65683i 2.90518 0.744256i
\(81\) 10.3451 1.14945
\(82\) −3.65036 12.4320i −0.403115 1.37288i
\(83\) −4.63523 + 7.21256i −0.508782 + 0.791681i −0.996697 0.0812106i \(-0.974121\pi\)
0.487915 + 0.872891i \(0.337758\pi\)
\(84\) 63.2904 + 18.5838i 6.90555 + 2.02765i
\(85\) 0.0608949 0.0252870i 0.00660498 0.00274276i
\(86\) 3.65991 2.35208i 0.394658 0.253631i
\(87\) −1.73724 1.50533i −0.186251 0.161388i
\(88\) −19.9406 + 19.1399i −2.12567 + 2.04032i
\(89\) −4.83675 5.58190i −0.512694 0.591680i 0.439092 0.898442i \(-0.355300\pi\)
−0.951786 + 0.306762i \(0.900755\pi\)
\(90\) 36.1065 + 6.48118i 3.80596 + 0.683176i
\(91\) −0.0679928 0.0199645i −0.00712759 0.00209285i
\(92\) −11.5001 9.96489i −1.19897 1.03891i
\(93\) −3.50428 + 11.9345i −0.363377 + 1.23755i
\(94\) −31.2606 −3.22429
\(95\) 12.3062 7.31641i 1.26259 0.750648i
\(96\) −30.3973 35.0803i −3.10241 3.58037i
\(97\) −7.70725 + 3.51978i −0.782552 + 0.357380i −0.766296 0.642488i \(-0.777902\pi\)
−0.0162567 + 0.999868i \(0.505175\pi\)
\(98\) 16.0550 + 24.9820i 1.62180 + 2.52356i
\(99\) −19.2440 + 6.73191i −1.93409 + 0.676582i
\(100\) 24.0141 + 8.90816i 2.40141 + 0.890816i
\(101\) 0.118357 0.823193i 0.0117770 0.0819107i −0.983085 0.183148i \(-0.941371\pi\)
0.994862 + 0.101238i \(0.0322802\pi\)
\(102\) −0.179878 0.155866i −0.0178106 0.0154330i
\(103\) 10.3631 1.48999i 1.02111 0.146813i 0.388632 0.921393i \(-0.372948\pi\)
0.632476 + 0.774580i \(0.282039\pi\)
\(104\) 0.0908335 + 0.104827i 0.00890695 + 0.0102792i
\(105\) 18.0867 + 22.4035i 1.76509 + 2.18635i
\(106\) −6.85722 + 15.0152i −0.666033 + 1.45841i
\(107\) 0.123160 + 0.0562454i 0.0119064 + 0.00543745i 0.421359 0.906894i \(-0.361553\pi\)
−0.409453 + 0.912331i \(0.634280\pi\)
\(108\) −13.7364 46.7819i −1.32179 4.50159i
\(109\) −11.6699 + 3.42659i −1.11777 + 0.328207i −0.787891 0.615815i \(-0.788827\pi\)
−0.329881 + 0.944023i \(0.607009\pi\)
\(110\) −19.5432 + 3.13188i −1.86337 + 0.298613i
\(111\) 8.74883 + 2.56889i 0.830402 + 0.243828i
\(112\) 51.0740i 4.82604i
\(113\) 0.460346 0.210233i 0.0433057 0.0197771i −0.393644 0.919263i \(-0.628786\pi\)
0.436950 + 0.899486i \(0.356059\pi\)
\(114\) −43.4761 27.9404i −4.07191 2.61686i
\(115\) −1.64840 6.43448i −0.153714 0.600018i
\(116\) −1.61739 + 3.54159i −0.150171 + 0.328829i
\(117\) 0.0288245 + 0.0981672i 0.00266482 + 0.00907556i
\(118\) 23.5844i 2.17112i
\(119\) −0.0178671 0.124269i −0.00163788 0.0113917i
\(120\) −6.07435 56.0309i −0.554510 5.11490i
\(121\) 8.60132 6.85692i 0.781938 0.623356i
\(122\) 18.8377i 1.70549i
\(123\) −14.5337 + 2.08963i −1.31046 + 0.188415i
\(124\) 21.0675 1.89192
\(125\) 6.40088 + 9.16672i 0.572512 + 0.819896i
\(126\) 29.0157 63.5354i 2.58492 5.66019i
\(127\) −11.1519 + 1.60340i −0.989573 + 0.142279i −0.618045 0.786143i \(-0.712075\pi\)
−0.371528 + 0.928422i \(0.621166\pi\)
\(128\) −7.88814 + 12.2742i −0.697220 + 1.08489i
\(129\) −2.04808 4.48466i −0.180323 0.394853i
\(130\) 0.0107053 + 0.0987473i 0.000938915 + 0.00866071i
\(131\) −16.2250 4.76410i −1.41759 0.416241i −0.518902 0.854834i \(-0.673659\pi\)
−0.898686 + 0.438592i \(0.855477\pi\)
\(132\) 29.9443 + 41.7573i 2.60632 + 3.63450i
\(133\) −7.68004 26.1558i −0.665944 2.26800i
\(134\) 33.2183 9.75377i 2.86962 0.842597i
\(135\) 6.70314 20.1997i 0.576915 1.73851i
\(136\) −0.102085 + 0.223535i −0.00875372 + 0.0191680i
\(137\) −6.09834 9.48920i −0.521016 0.810717i 0.476643 0.879097i \(-0.341853\pi\)
−0.997659 + 0.0683795i \(0.978217\pi\)
\(138\) −18.1205 + 15.7015i −1.54252 + 1.33660i
\(139\) 2.07584 + 14.4378i 0.176070 + 1.22460i 0.865748 + 0.500480i \(0.166843\pi\)
−0.689678 + 0.724116i \(0.742248\pi\)
\(140\) 27.7782 40.0843i 2.34769 3.38774i
\(141\) −5.04160 + 35.0651i −0.424580 + 2.95302i
\(142\) 15.6054 24.2824i 1.30957 2.03774i
\(143\) −0.0321691 0.0448598i −0.00269012 0.00375136i
\(144\) −62.0340 + 39.8669i −5.16950 + 3.32224i
\(145\) −1.46084 + 0.868513i −0.121316 + 0.0721261i
\(146\) 0.388802 + 0.448701i 0.0321775 + 0.0371348i
\(147\) 30.6116 13.9799i 2.52481 1.15304i
\(148\) 15.4440i 1.26949i
\(149\) −5.53258 1.62451i −0.453246 0.133085i 0.0471383 0.998888i \(-0.484990\pi\)
−0.500385 + 0.865803i \(0.666808\pi\)
\(150\) 19.2785 35.4558i 1.57409 2.89495i
\(151\) −5.76272 1.69209i −0.468964 0.137700i 0.0387083 0.999251i \(-0.487676\pi\)
−0.507672 + 0.861550i \(0.669494\pi\)
\(152\) −15.0328 + 51.1969i −1.21932 + 4.15262i
\(153\) −0.136989 + 0.118702i −0.0110749 + 0.00959645i
\(154\) −3.45791 + 37.5270i −0.278647 + 3.02401i
\(155\) 7.55857 + 5.23805i 0.607119 + 0.420730i
\(156\) 0.216929 0.139412i 0.0173682 0.0111619i
\(157\) 2.15557 + 7.34120i 0.172033 + 0.585891i 0.999696 + 0.0246653i \(0.00785201\pi\)
−0.827663 + 0.561226i \(0.810330\pi\)
\(158\) 3.70188 12.6074i 0.294506 1.00299i
\(159\) 15.7367 + 10.1134i 1.24800 + 0.802042i
\(160\) −31.6946 + 13.1614i −2.50568 + 1.04050i
\(161\) −12.6472 −0.996740
\(162\) −27.3281 + 3.92919i −2.14710 + 0.308707i
\(163\) 0.312242 + 0.142596i 0.0244566 + 0.0111690i 0.427606 0.903965i \(-0.359357\pi\)
−0.403149 + 0.915134i \(0.632084\pi\)
\(164\) 10.3312 + 22.6223i 0.806735 + 1.76650i
\(165\) 0.361189 + 22.4267i 0.0281185 + 1.74592i
\(166\) 9.50527 20.8136i 0.737752 1.61545i
\(167\) 9.55110 8.27608i 0.739086 0.640422i −0.201690 0.979449i \(-0.564643\pi\)
0.940776 + 0.339027i \(0.110098\pi\)
\(168\) −106.219 15.2719i −8.19494 1.17825i
\(169\) 10.9361 7.02818i 0.841236 0.540629i
\(170\) −0.151259 + 0.0899282i −0.0116011 + 0.00689718i
\(171\) −25.7738 + 29.7446i −1.97097 + 2.27462i
\(172\) −6.31093 + 5.46846i −0.481204 + 0.416966i
\(173\) −6.47279 10.0719i −0.492117 0.765749i 0.503017 0.864276i \(-0.332223\pi\)
−0.995134 + 0.0985275i \(0.968587\pi\)
\(174\) 5.16093 + 3.31673i 0.391249 + 0.251441i
\(175\) 19.9325 7.47484i 1.50675 0.565045i
\(176\) 24.4904 31.3554i 1.84604 2.36351i
\(177\) −26.4546 3.80360i −1.98845 0.285896i
\(178\) 14.8971 + 12.9084i 1.11659 + 0.967527i
\(179\) 0.00470314 + 0.00302252i 0.000351529 + 0.000225914i 0.540817 0.841141i \(-0.318115\pi\)
−0.540465 + 0.841366i \(0.681752\pi\)
\(180\) −70.3689 2.45057i −5.24499 0.182655i
\(181\) −0.778861 + 5.41710i −0.0578923 + 0.402650i 0.940185 + 0.340665i \(0.110652\pi\)
−0.998077 + 0.0619849i \(0.980257\pi\)
\(182\) 0.187197 + 0.0269148i 0.0138759 + 0.00199506i
\(183\) 21.1303 + 3.03808i 1.56200 + 0.224581i
\(184\) 20.8256 + 13.3838i 1.53528 + 0.986667i
\(185\) 3.83987 5.54098i 0.282313 0.407381i
\(186\) 4.72424 32.8578i 0.346398 2.40925i
\(187\) 0.0486188 0.0848586i 0.00355536 0.00620547i
\(188\) 59.3919 8.53926i 4.33160 0.622790i
\(189\) −34.0906 21.9087i −2.47973 1.59362i
\(190\) −29.7299 + 24.0015i −2.15684 + 1.74125i
\(191\) −7.84090 9.04888i −0.567347 0.654754i 0.397488 0.917607i \(-0.369882\pi\)
−0.964836 + 0.262854i \(0.915336\pi\)
\(192\) 38.7848 + 33.6072i 2.79905 + 2.42539i
\(193\) 13.3091 6.07806i 0.958009 0.437508i 0.125853 0.992049i \(-0.459833\pi\)
0.832157 + 0.554541i \(0.187106\pi\)
\(194\) 19.0231 12.2254i 1.36578 0.877731i
\(195\) 0.112492 + 0.00391748i 0.00805569 + 0.000280536i
\(196\) −37.3269 43.0775i −2.66620 3.07696i
\(197\) 1.32978 + 0.607290i 0.0947429 + 0.0432676i 0.462223 0.886764i \(-0.347052\pi\)
−0.367480 + 0.930031i \(0.619779\pi\)
\(198\) 48.2791 25.0925i 3.43105 1.78325i
\(199\) 11.5031 + 25.1884i 0.815436 + 1.78556i 0.582011 + 0.813181i \(0.302266\pi\)
0.233424 + 0.972375i \(0.425007\pi\)
\(200\) −40.7321 8.78487i −2.88019 0.621184i
\(201\) −5.58350 38.8341i −0.393829 2.73914i
\(202\) 2.21955i 0.156167i
\(203\) 0.911678 + 3.10489i 0.0639873 + 0.217921i
\(204\) 0.384327 + 0.246992i 0.0269082 + 0.0172929i
\(205\) −1.91799 + 10.6851i −0.133958 + 0.746277i
\(206\) −26.8099 + 7.87210i −1.86794 + 0.548475i
\(207\) 9.87204 + 15.3612i 0.686154 + 1.06768i
\(208\) −0.150894 0.130750i −0.0104626 0.00906591i
\(209\) 7.82699 19.7403i 0.541404 1.36546i
\(210\) −56.2881 52.3127i −3.88425 3.60992i
\(211\) −8.26219 2.42600i −0.568793 0.167013i −0.0153239 0.999883i \(-0.504878\pi\)
−0.553469 + 0.832870i \(0.686696\pi\)
\(212\) 8.92638 30.4005i 0.613067 2.08791i
\(213\) −24.7209 21.4208i −1.69385 1.46773i
\(214\) −0.346710 0.101803i −0.0237006 0.00695913i
\(215\) −3.62386 + 0.392866i −0.247145 + 0.0267932i
\(216\) 32.9508 + 72.1521i 2.24202 + 4.90933i
\(217\) 13.2331 11.4666i 0.898323 0.778402i
\(218\) 29.5264 13.4842i 1.99978 0.913268i
\(219\) 0.566013 0.363755i 0.0382476 0.0245803i
\(220\) 36.2744 11.2887i 2.44562 0.761086i
\(221\) −0.000412882 0 0.000265343i −2.77734e−5 0 1.78489e-5i
\(222\) −24.0871 3.46321i −1.61662 0.232435i
\(223\) 18.1390 + 15.7175i 1.21468 + 1.05252i 0.997071 + 0.0764876i \(0.0243706\pi\)
0.217607 + 0.976036i \(0.430175\pi\)
\(224\) 9.29949 + 64.6794i 0.621348 + 4.32157i
\(225\) −24.6376 18.3752i −1.64250 1.22501i
\(226\) −1.13623 + 0.730210i −0.0755808 + 0.0485728i
\(227\) 16.2378 + 7.41554i 1.07774 + 0.492187i 0.873545 0.486744i \(-0.161816\pi\)
0.204194 + 0.978931i \(0.434543\pi\)
\(228\) 90.2322 + 41.2076i 5.97577 + 2.72904i
\(229\) 24.8879 7.30776i 1.64464 0.482910i 0.677156 0.735839i \(-0.263212\pi\)
0.967485 + 0.252929i \(0.0813938\pi\)
\(230\) 6.79841 + 16.3716i 0.448274 + 1.07951i
\(231\) 41.5364 + 9.93097i 2.73290 + 0.653410i
\(232\) 1.78450 6.07746i 0.117158 0.399005i
\(233\) 15.8561i 1.03877i 0.854540 + 0.519385i \(0.173839\pi\)
−0.854540 + 0.519385i \(0.826161\pi\)
\(234\) −0.113430 0.248376i −0.00741513 0.0162369i
\(235\) 23.4317 + 11.7030i 1.52851 + 0.763420i
\(236\) 6.44239 + 44.8078i 0.419364 + 2.91674i
\(237\) −13.5448 6.18569i −0.879827 0.401804i
\(238\) 0.0943977 + 0.321489i 0.00611889 + 0.0208390i
\(239\) −27.4506 −1.77563 −0.887816 0.460199i \(-0.847778\pi\)
−0.887816 + 0.460199i \(0.847778\pi\)
\(240\) 20.1330 + 78.5885i 1.29958 + 5.07287i
\(241\) 1.58826 0.102309 0.0511543 0.998691i \(-0.483710\pi\)
0.0511543 + 0.998691i \(0.483710\pi\)
\(242\) −20.1174 + 21.3805i −1.29320 + 1.37439i
\(243\) 2.73382i 0.175375i
\(244\) −5.14578 35.7897i −0.329425 2.29120i
\(245\) −2.68164 24.7359i −0.171324 1.58032i
\(246\) 37.5994 11.0402i 2.39725 0.703896i
\(247\) −0.0969363 0.0442693i −0.00616791 0.00281679i
\(248\) −33.9248 + 4.87765i −2.15423 + 0.309731i
\(249\) −21.8137 14.0188i −1.38239 0.888407i
\(250\) −20.3906 21.7842i −1.28961 1.37775i
\(251\) −19.1084 −1.20611 −0.603054 0.797700i \(-0.706050\pi\)
−0.603054 + 0.797700i \(0.706050\pi\)
\(252\) −37.7711 + 128.637i −2.37936 + 8.10334i
\(253\) −7.76440 6.06445i −0.488143 0.381268i
\(254\) 28.8506 8.47129i 1.81025 0.531536i
\(255\) 0.0764781 + 0.184171i 0.00478925 + 0.0115332i
\(256\) 2.07795 4.55009i 0.129872 0.284380i
\(257\) −23.7802 10.8600i −1.48337 0.677431i −0.501181 0.865342i \(-0.667101\pi\)
−0.982186 + 0.187911i \(0.939828\pi\)
\(258\) 7.11366 + 11.0691i 0.442877 + 0.689130i
\(259\) −8.40583 9.70084i −0.522313 0.602781i
\(260\) −0.0473130 0.184685i −0.00293423 0.0114537i
\(261\) 3.05954 3.53090i 0.189381 0.218557i
\(262\) 44.6705 + 6.42265i 2.75975 + 0.396792i
\(263\) −12.3819 + 19.2666i −0.763500 + 1.18803i 0.213947 + 0.976845i \(0.431368\pi\)
−0.977446 + 0.211184i \(0.932268\pi\)
\(264\) −57.8868 60.3084i −3.56269 3.71173i
\(265\) 10.7611 8.68765i 0.661050 0.533678i
\(266\) 30.2224 + 66.1778i 1.85305 + 4.05762i
\(267\) 16.8820 14.6283i 1.03316 0.895237i
\(268\) −60.4468 + 27.6051i −3.69238 + 1.68625i
\(269\) 15.8559 0.966750 0.483375 0.875413i \(-0.339411\pi\)
0.483375 + 0.875413i \(0.339411\pi\)
\(270\) −10.0353 + 55.9065i −0.610730 + 3.40236i
\(271\) 0.0810803 0.0935717i 0.00492528 0.00568407i −0.753282 0.657698i \(-0.771530\pi\)
0.758207 + 0.652014i \(0.226076\pi\)
\(272\) 0.0996585 0.339406i 0.00604268 0.0205795i
\(273\) 0.0603808 0.205638i 0.00365441 0.0124458i
\(274\) 19.7139 + 22.7510i 1.19096 + 1.37444i
\(275\) 15.8212 + 4.96882i 0.954055 + 0.299631i
\(276\) 30.1379 34.7810i 1.81409 2.09357i
\(277\) 4.04203 + 6.28952i 0.242862 + 0.377901i 0.941190 0.337877i \(-0.109709\pi\)
−0.698328 + 0.715778i \(0.746072\pi\)
\(278\) −10.9673 37.3512i −0.657776 2.24018i
\(279\) −24.2566 7.12237i −1.45220 0.426405i
\(280\) −35.4505 + 70.9787i −2.11857 + 4.24179i
\(281\) 19.6583 5.77220i 1.17272 0.344340i 0.363354 0.931651i \(-0.381632\pi\)
0.809361 + 0.587311i \(0.199813\pi\)
\(282\) 94.5449i 5.63007i
\(283\) −7.67581 + 1.10361i −0.456279 + 0.0656031i −0.366623 0.930370i \(-0.619486\pi\)
−0.0896566 + 0.995973i \(0.528577\pi\)
\(284\) −23.0155 + 50.3968i −1.36572 + 2.99050i
\(285\) 22.1278 + 37.2190i 1.31074 + 2.20466i
\(286\) 0.102018 + 0.106286i 0.00603246 + 0.00628482i
\(287\) 18.8022 + 8.58666i 1.10986 + 0.506855i
\(288\) 71.3000 61.7818i 4.20140 3.64053i
\(289\) −2.41923 + 16.8261i −0.142308 + 0.989771i
\(290\) 3.52916 2.84916i 0.207240 0.167308i
\(291\) −10.6453 23.3099i −0.624036 1.36645i
\(292\) −0.861250 0.746278i −0.0504009 0.0436726i
\(293\) −15.6257 + 13.5397i −0.912862 + 0.790999i −0.978372 0.206853i \(-0.933678\pi\)
0.0655104 + 0.997852i \(0.479132\pi\)
\(294\) −75.5558 + 48.5568i −4.40650 + 2.83189i
\(295\) −8.82925 + 17.6779i −0.514059 + 1.02924i
\(296\) 3.57567 + 24.8693i 0.207831 + 1.44550i
\(297\) −10.4235 29.7969i −0.604835 1.72899i
\(298\) 15.2322 + 2.19006i 0.882377 + 0.126867i
\(299\) −0.0323771 + 0.0373652i −0.00187242 + 0.00216088i
\(300\) −26.9419 + 72.6284i −1.55549 + 4.19320i
\(301\) −0.987728 + 6.86980i −0.0569317 + 0.395969i
\(302\) 15.8658 + 2.28116i 0.912976 + 0.131266i
\(303\) 2.48967 + 0.357961i 0.143028 + 0.0205643i
\(304\) 10.9307 76.0250i 0.626921 4.36033i
\(305\) 7.05225 14.1200i 0.403811 0.808507i
\(306\) 0.316794 0.365599i 0.0181099 0.0208999i
\(307\) 14.8699 + 2.13798i 0.848673 + 0.122021i 0.552910 0.833241i \(-0.313517\pi\)
0.295762 + 0.955262i \(0.404426\pi\)
\(308\) −3.68134 72.2419i −0.209764 4.11636i
\(309\) 4.50634 + 31.3423i 0.256357 + 1.78300i
\(310\) −21.9566 10.9663i −1.24705 0.622844i
\(311\) 3.45640 2.22130i 0.195995 0.125958i −0.438963 0.898505i \(-0.644654\pi\)
0.634957 + 0.772547i \(0.281018\pi\)
\(312\) −0.317041 + 0.274718i −0.0179489 + 0.0155528i
\(313\) 13.9771 + 12.1112i 0.790033 + 0.684568i 0.953304 0.302014i \(-0.0976588\pi\)
−0.163270 + 0.986581i \(0.552204\pi\)
\(314\) −8.48257 18.5742i −0.478699 1.04820i
\(315\) −45.5346 + 36.7609i −2.56558 + 2.07124i
\(316\) −3.58928 + 24.9640i −0.201913 + 1.40434i
\(317\) −13.4223 + 11.6305i −0.753870 + 0.653232i −0.944530 0.328424i \(-0.893483\pi\)
0.190660 + 0.981656i \(0.438937\pi\)
\(318\) −45.4122 20.7391i −2.54659 1.16299i
\(319\) −0.929122 + 2.34332i −0.0520209 + 0.131201i
\(320\) 32.6140 19.3900i 1.82318 1.08394i
\(321\) −0.170109 + 0.372487i −0.00949457 + 0.0207902i
\(322\) 33.4096 4.80358i 1.86185 0.267693i
\(323\) 0.188801i 0.0105052i
\(324\) 50.8472 14.9301i 2.82485 0.829450i
\(325\) 0.0289437 0.0780246i 0.00160551 0.00432802i
\(326\) −0.878995 0.258096i −0.0486831 0.0142946i
\(327\) −10.3634 35.2945i −0.573097 1.95179i
\(328\) −21.8739 34.0365i −1.20778 1.87935i
\(329\) 32.6581 37.6894i 1.80050 2.07789i
\(330\) −9.47210 59.1065i −0.521422 3.25371i
\(331\) 5.04467 + 5.82186i 0.277280 + 0.319999i 0.877259 0.480017i \(-0.159370\pi\)
−0.599979 + 0.800016i \(0.704824\pi\)
\(332\) −12.3735 + 42.1402i −0.679082 + 2.31274i
\(333\) −5.22121 + 17.7818i −0.286121 + 0.974438i
\(334\) −22.0874 + 25.4902i −1.20857 + 1.39476i
\(335\) −28.5505 5.12487i −1.55988 0.280001i
\(336\) 154.469 8.42696
\(337\) −26.0723 + 11.9068i −1.42025 + 0.648607i −0.969735 0.244161i \(-0.921487\pi\)
−0.450517 + 0.892768i \(0.648760\pi\)
\(338\) −26.2200 + 22.7197i −1.42618 + 1.23579i
\(339\) 0.635831 + 1.39228i 0.0345336 + 0.0756180i
\(340\) 0.262811 0.212173i 0.0142529 0.0115067i
\(341\) 13.6224 0.694178i 0.737695 0.0375919i
\(342\) 56.7882 88.3642i 3.07076 4.77819i
\(343\) −17.3925 2.50066i −0.939105 0.135023i
\(344\) 8.89635 10.2669i 0.479659 0.553556i
\(345\) 19.4605 4.98543i 1.04772 0.268407i
\(346\) 20.9243 + 24.1479i 1.12490 + 1.29820i
\(347\) −8.77778 13.6585i −0.471216 0.733226i 0.521559 0.853215i \(-0.325351\pi\)
−0.992775 + 0.119989i \(0.961714\pi\)
\(348\) −10.7112 4.89165i −0.574182 0.262220i
\(349\) 8.78574 19.2381i 0.470290 1.02979i −0.514730 0.857352i \(-0.672108\pi\)
0.985020 0.172439i \(-0.0551648\pi\)
\(350\) −49.8157 + 27.3166i −2.66276 + 1.46013i
\(351\) −0.152000 + 0.0446312i −0.00811316 + 0.00238224i
\(352\) −25.3051 + 44.1672i −1.34877 + 2.35412i
\(353\) 2.69248 9.16974i 0.143306 0.488056i −0.856289 0.516496i \(-0.827236\pi\)
0.999595 + 0.0284406i \(0.00905414\pi\)
\(354\) 71.3288 3.79108
\(355\) −20.7877 + 12.3589i −1.10330 + 0.655944i
\(356\) −31.8290 20.4553i −1.68694 1.08413i
\(357\) 0.375839 0.0540375i 0.0198915 0.00285997i
\(358\) −0.0135721 0.00619816i −0.000717307 0.000327583i
\(359\) 13.5363 3.97462i 0.714419 0.209772i 0.0957289 0.995407i \(-0.469482\pi\)
0.618690 + 0.785635i \(0.287664\pi\)
\(360\) 113.882 12.3460i 6.00209 0.650691i
\(361\) −3.13015 21.7706i −0.164745 1.14582i
\(362\) 14.6059i 0.767672i
\(363\) 20.7381 + 26.0139i 1.08847 + 1.36538i
\(364\) −0.363006 −0.0190267
\(365\) −0.123450 0.481883i −0.00646166 0.0252229i
\(366\) −56.9730 −2.97803
\(367\) 1.23991 + 4.22274i 0.0647226 + 0.220425i 0.985503 0.169655i \(-0.0542654\pi\)
−0.920781 + 0.390080i \(0.872447\pi\)
\(368\) −32.4141 14.8030i −1.68970 0.771660i
\(369\) −4.24713 29.5394i −0.221097 1.53776i
\(370\) −8.03909 + 16.0958i −0.417932 + 0.836781i
\(371\) −10.9394 23.9539i −0.567944 1.24362i
\(372\) 63.7168i 3.30356i
\(373\) −3.09640 + 10.5454i −0.160326 + 0.546019i 0.839670 + 0.543097i \(0.182748\pi\)
−0.999996 + 0.00292230i \(0.999070\pi\)
\(374\) −0.0962039 + 0.242633i −0.00497459 + 0.0125463i
\(375\) −27.7239 + 19.3589i −1.43166 + 0.999688i
\(376\) −93.6610 + 27.5014i −4.83020 + 1.41827i
\(377\) 0.0115071 + 0.00525510i 0.000592644 + 0.000270651i
\(378\) 98.3770 + 44.9273i 5.05996 + 2.31081i
\(379\) 1.06108 0.681917i 0.0545042 0.0350277i −0.513105 0.858326i \(-0.671505\pi\)
0.567609 + 0.823298i \(0.307868\pi\)
\(380\) 49.9273 53.7215i 2.56122 2.75585i
\(381\) −4.84935 33.7280i −0.248440 1.72794i
\(382\) 24.1499 + 20.9260i 1.23561 + 1.07067i
\(383\) 3.15958 + 0.454279i 0.161447 + 0.0232126i 0.222564 0.974918i \(-0.428557\pi\)
−0.0611173 + 0.998131i \(0.519466\pi\)
\(384\) −37.1222 23.8570i −1.89438 1.21745i
\(385\) 16.6408 26.8341i 0.848096 1.36759i
\(386\) −32.8496 + 21.1111i −1.67200 + 1.07453i
\(387\) 9.11499 4.16267i 0.463341 0.211601i
\(388\) −32.8022 + 28.4233i −1.66528 + 1.44297i
\(389\) −4.17714 9.14667i −0.211790 0.463755i 0.773686 0.633569i \(-0.218411\pi\)
−0.985476 + 0.169814i \(0.945683\pi\)
\(390\) −0.298652 + 0.0323772i −0.0151228 + 0.00163948i
\(391\) −0.0840454 0.0246780i −0.00425036 0.00124802i
\(392\) 70.0805 + 60.7251i 3.53960 + 3.06708i
\(393\) 14.4086 49.0711i 0.726817 2.47531i
\(394\) −3.74348 1.09919i −0.188594 0.0553762i
\(395\) −7.49460 + 8.06414i −0.377094 + 0.405751i
\(396\) −84.8708 + 60.8612i −4.26492 + 3.05839i
\(397\) −8.50553 7.37008i −0.426880 0.369894i 0.414761 0.909930i \(-0.363865\pi\)
−0.841642 + 0.540036i \(0.818411\pi\)
\(398\) −39.9542 62.1700i −2.00273 3.11630i
\(399\) 79.1059 23.2276i 3.96025 1.16283i
\(400\) 59.8347 + 4.17250i 2.99174 + 0.208625i
\(401\) −1.52432 0.979618i −0.0761207 0.0489198i 0.502027 0.864852i \(-0.332588\pi\)
−0.578148 + 0.815932i \(0.696224\pi\)
\(402\) 29.4994 + 100.466i 1.47130 + 5.01077i
\(403\) 0.0684508i 0.00340978i
\(404\) −0.606299 4.21690i −0.0301645 0.209799i
\(405\) 21.9550 + 7.28564i 1.09095 + 0.362026i
\(406\) −3.58762 7.85580i −0.178051 0.389877i
\(407\) −0.508883 9.98622i −0.0252244 0.494998i
\(408\) −0.676061 0.308747i −0.0334700 0.0152853i
\(409\) −12.4004 14.3108i −0.613159 0.707624i 0.361234 0.932475i \(-0.382356\pi\)
−0.974393 + 0.224852i \(0.927810\pi\)
\(410\) 1.00834 28.9548i 0.0497983 1.42997i
\(411\) 28.6992 18.4439i 1.41563 0.909769i
\(412\) 48.7856 22.2796i 2.40349 1.09764i
\(413\) 28.4345 + 24.6387i 1.39917 + 1.21239i
\(414\) −31.9129 36.8295i −1.56844 1.81007i
\(415\) −14.9167 + 12.0425i −0.732233 + 0.591145i
\(416\) 0.214897 + 0.138106i 0.0105362 + 0.00677119i
\(417\) −43.6657 + 6.27818i −2.13832 + 0.307444i
\(418\) −13.1786 + 55.1198i −0.644588 + 2.69600i
\(419\) 3.21696 22.3744i 0.157159 1.09306i −0.746678 0.665185i \(-0.768353\pi\)
0.903837 0.427877i \(-0.140738\pi\)
\(420\) 121.231 + 84.0127i 5.91548 + 4.09940i
\(421\) −25.1431 16.1585i −1.22540 0.787518i −0.242233 0.970218i \(-0.577880\pi\)
−0.983169 + 0.182700i \(0.941516\pi\)
\(422\) 22.7473 + 3.27057i 1.10732 + 0.159209i
\(423\) −71.2691 10.2470i −3.46522 0.498224i
\(424\) −7.33560 + 51.0202i −0.356248 + 2.47776i
\(425\) 0.147044 0.0107797i 0.00713268 0.000522892i
\(426\) 73.4400 + 47.1970i 3.55818 + 2.28670i
\(427\) −22.7117 19.6798i −1.09910 0.952374i
\(428\) 0.686521 + 0.0987069i 0.0331843 + 0.00477118i
\(429\) 0.135674 0.0972926i 0.00655042 0.00469733i
\(430\) 9.42379 2.41421i 0.454455 0.116423i
\(431\) −4.96376 3.19001i −0.239096 0.153658i 0.415606 0.909545i \(-0.363569\pi\)
−0.654702 + 0.755887i \(0.727206\pi\)
\(432\) −61.7290 96.0522i −2.96994 4.62132i
\(433\) 27.8471 24.1296i 1.33824 1.15960i 0.364693 0.931128i \(-0.381174\pi\)
0.973552 0.228467i \(-0.0733714\pi\)
\(434\) −30.6023 + 35.3169i −1.46896 + 1.69527i
\(435\) −2.62674 4.41817i −0.125942 0.211835i
\(436\) −52.4136 + 33.6842i −2.51015 + 1.61318i
\(437\) −18.8257 2.70673i −0.900555 0.129480i
\(438\) −1.35706 + 1.17590i −0.0648426 + 0.0561865i
\(439\) −0.708921 + 1.55232i −0.0338350 + 0.0740882i −0.925795 0.378026i \(-0.876603\pi\)
0.891960 + 0.452115i \(0.149330\pi\)
\(440\) −55.7987 + 26.5765i −2.66010 + 1.26699i
\(441\) 28.4138 + 62.2175i 1.35304 + 2.96274i
\(442\) 0.00119147 0.000544127i 5.66726e−5 2.58815e-5i
\(443\) 11.8731 1.70709i 0.564106 0.0811062i 0.145638 0.989338i \(-0.453476\pi\)
0.418468 + 0.908232i \(0.362567\pi\)
\(444\) 46.7090 2.21671
\(445\) −6.33374 15.2526i −0.300248 0.723043i
\(446\) −53.8868 34.6309i −2.55161 1.63982i
\(447\) 4.91318 16.7328i 0.232386 0.791433i
\(448\) −20.3537 69.3184i −0.961622 3.27499i
\(449\) −0.355067 + 0.228188i −0.0167567 + 0.0107688i −0.548992 0.835827i \(-0.684988\pi\)
0.532236 + 0.846596i \(0.321352\pi\)
\(450\) 72.0631 + 39.1832i 3.39709 + 1.84711i
\(451\) 7.42567 + 14.2873i 0.349661 + 0.672764i
\(452\) 1.95925 1.69770i 0.0921552 0.0798530i
\(453\) 5.11757 17.4288i 0.240444 0.818878i
\(454\) −45.7112 13.4220i −2.14533 0.629926i
\(455\) −0.130239 0.0902548i −0.00610568 0.00423121i
\(456\) −154.840 45.4652i −7.25107 2.12911i
\(457\) 16.0272i 0.749719i −0.927082 0.374859i \(-0.877691\pi\)
0.927082 0.374859i \(-0.122309\pi\)
\(458\) −62.9699 + 28.7574i −2.94239 + 1.34374i
\(459\) −0.183795 0.212111i −0.00857882 0.00990048i
\(460\) −17.3884 29.2472i −0.810737 1.36366i
\(461\) −26.2578 + 16.8748i −1.22295 + 0.785940i −0.982778 0.184791i \(-0.940839\pi\)
−0.240169 + 0.970731i \(0.577203\pi\)
\(462\) −113.497 10.4581i −5.28036 0.486557i
\(463\) −20.3315 + 31.6364i −0.944885 + 1.47027i −0.0634385 + 0.997986i \(0.520207\pi\)
−0.881446 + 0.472284i \(0.843430\pi\)
\(464\) −1.29756 + 9.02473i −0.0602377 + 0.418963i
\(465\) −15.8420 + 22.8602i −0.734656 + 1.06012i
\(466\) −6.02237 41.8865i −0.278981 1.94036i
\(467\) −11.0724 + 9.59431i −0.512371 + 0.443972i −0.872274 0.489018i \(-0.837355\pi\)
0.359903 + 0.932990i \(0.382810\pi\)
\(468\) 0.283351 + 0.440904i 0.0130979 + 0.0203808i
\(469\) −22.9436 + 50.2395i −1.05944 + 2.31984i
\(470\) −66.3434 22.0157i −3.06019 1.01551i
\(471\) −22.2028 + 6.51933i −1.02305 + 0.300395i
\(472\) −20.7482 70.6619i −0.955014 3.25248i
\(473\) −3.90051 + 3.74389i −0.179346 + 0.172144i
\(474\) 38.1301 + 11.1960i 1.75137 + 0.514249i
\(475\) 31.2697 6.86058i 1.43475 0.314785i
\(476\) −0.267165 0.585009i −0.0122455 0.0268138i
\(477\) −20.5552 + 31.9845i −0.941158 + 1.46447i
\(478\) 72.5151 10.4261i 3.31676 0.476879i
\(479\) 0.472065 1.03368i 0.0215692 0.0472299i −0.898541 0.438890i \(-0.855372\pi\)
0.920110 + 0.391660i \(0.128099\pi\)
\(480\) −39.8054 95.8574i −1.81686 4.37527i
\(481\) −0.0501794 −0.00228798
\(482\) −4.19563 + 0.603241i −0.191106 + 0.0274769i
\(483\) 38.2504i 1.74045i
\(484\) 32.3805 46.1161i 1.47184 2.09618i
\(485\) −18.8357 + 2.04199i −0.855284 + 0.0927221i
\(486\) −1.03834 7.22183i −0.0471002 0.327589i
\(487\) 24.0966i 1.09192i −0.837810 0.545962i \(-0.816164\pi\)
0.837810 0.545962i \(-0.183836\pi\)
\(488\) 16.5724 + 56.4403i 0.750196 + 2.55493i
\(489\) −0.431268 + 0.944346i −0.0195026 + 0.0427048i
\(490\) 16.4790 + 64.3254i 0.744446 + 2.90592i
\(491\) 9.96176 + 6.40203i 0.449568 + 0.288920i 0.745767 0.666206i \(-0.232083\pi\)
−0.296200 + 0.955126i \(0.595719\pi\)
\(492\) −68.4190 + 31.2459i −3.08457 + 1.40867i
\(493\) 0.0224121i 0.00100939i
\(494\) 0.272887 + 0.0801268i 0.0122778 + 0.00360507i
\(495\) −45.5818 + 0.734109i −2.04875 + 0.0329958i
\(496\) 47.3368 13.8994i 2.12549 0.624099i
\(497\) 12.9732 + 44.1825i 0.581926 + 1.98186i
\(498\) 62.9489 + 28.7478i 2.82081 + 1.28822i
\(499\) 2.54754 5.57833i 0.114043 0.249720i −0.844000 0.536343i \(-0.819805\pi\)
0.958044 + 0.286623i \(0.0925326\pi\)
\(500\) 44.6906 + 35.8177i 1.99862 + 1.60182i
\(501\) 25.0302 + 28.8864i 1.11827 + 1.29055i
\(502\) 50.4777 7.25760i 2.25293 0.323923i
\(503\) 18.1275 + 15.7076i 0.808265 + 0.700366i 0.957499 0.288436i \(-0.0931353\pi\)
−0.149234 + 0.988802i \(0.547681\pi\)
\(504\) 31.0399 215.887i 1.38263 9.61637i
\(505\) 0.830929 1.66368i 0.0369759 0.0740328i
\(506\) 22.8142 + 13.0712i 1.01422 + 0.581085i
\(507\) 21.2561 + 33.0751i 0.944016 + 1.46892i
\(508\) −52.4989 + 23.9755i −2.32926 + 1.06374i
\(509\) 16.1039 + 18.5849i 0.713792 + 0.823760i 0.990546 0.137181i \(-0.0438043\pi\)
−0.276754 + 0.960941i \(0.589259\pi\)
\(510\) −0.271980 0.457470i −0.0120435 0.0202571i
\(511\) −0.947159 −0.0418999
\(512\) 4.46009 15.1897i 0.197110 0.671295i
\(513\) −46.0559 39.9076i −2.03342 1.76196i
\(514\) 66.9439 + 19.6565i 2.95277 + 0.867012i
\(515\) 23.0426 + 4.13619i 1.01538 + 0.182263i
\(516\) −16.5388 19.0868i −0.728082 0.840252i
\(517\) 38.1219 7.47853i 1.67660 0.328905i
\(518\) 25.8898 + 22.4337i 1.13753 + 0.985679i
\(519\) 30.4614 19.5764i 1.33711 0.859307i
\(520\) 0.118947 + 0.286442i 0.00521616 + 0.0125613i
\(521\) −34.7320 10.1982i −1.52164 0.446793i −0.589157 0.808018i \(-0.700540\pi\)
−0.932478 + 0.361226i \(0.882358\pi\)
\(522\) −6.74119 + 10.4895i −0.295054 + 0.459113i
\(523\) 3.56360 + 12.1365i 0.155825 + 0.530693i 0.999985 0.00539855i \(-0.00171842\pi\)
−0.844160 + 0.536091i \(0.819900\pi\)
\(524\) −86.6236 −3.78417
\(525\) 22.6070 + 60.2839i 0.986649 + 2.63101i
\(526\) 25.3910 55.5986i 1.10710 2.42421i
\(527\) 0.110313 0.0503784i 0.00480532 0.00219452i
\(528\) 94.8317 + 74.0691i 4.12702 + 3.22344i
\(529\) 5.88895 12.8950i 0.256041 0.560652i
\(530\) −25.1275 + 27.0370i −1.09147 + 1.17441i
\(531\) 7.73074 53.7685i 0.335486 2.33335i
\(532\) −75.4966 117.475i −3.27319 5.09319i
\(533\) 0.0735025 0.0335675i 0.00318375 0.00145397i
\(534\) −39.0403 + 45.0550i −1.68944 + 1.94972i
\(535\) 0.221767 + 0.206105i 0.00958784 + 0.00891069i
\(536\) 90.9456 58.4472i 3.92825 2.52453i
\(537\) −0.00914134 + 0.0142242i −0.000394478 + 0.000613820i
\(538\) −41.8858 + 6.02228i −1.80583 + 0.259639i
\(539\) −25.5553 26.6243i −1.10074 1.14679i
\(540\) 3.79441 108.958i 0.163286 4.68879i
\(541\) 19.6195 22.6421i 0.843507 0.973459i −0.156391 0.987695i \(-0.549986\pi\)
0.999899 + 0.0142360i \(0.00453160\pi\)
\(542\) −0.178647 + 0.277980i −0.00767354 + 0.0119403i
\(543\) −16.3835 2.35559i −0.703084 0.101088i
\(544\) −0.0644075 + 0.447964i −0.00276145 + 0.0192063i
\(545\) −27.1798 0.946527i −1.16426 0.0405448i
\(546\) −0.0814014 + 0.566159i −0.00348366 + 0.0242294i
\(547\) 6.44838 10.0339i 0.275713 0.429017i −0.675589 0.737278i \(-0.736111\pi\)
0.951302 + 0.308261i \(0.0997470\pi\)
\(548\) −43.6690 37.8394i −1.86545 1.61642i
\(549\) −6.17484 + 42.9469i −0.263536 + 1.83293i
\(550\) −43.6815 7.11682i −1.86258 0.303462i
\(551\) 0.692554 + 4.81682i 0.0295038 + 0.205204i
\(552\) −40.4781 + 62.9851i −1.72286 + 2.68082i
\(553\) 11.3328 + 17.6342i 0.481920 + 0.749883i
\(554\) −13.0665 15.0796i −0.555143 0.640669i
\(555\) 16.7582 + 11.6133i 0.711345 + 0.492959i
\(556\) 31.0397 + 67.9675i 1.31638 + 2.88246i
\(557\) 20.3614 + 31.6829i 0.862740 + 1.34245i 0.938484 + 0.345322i \(0.112230\pi\)
−0.0757447 + 0.997127i \(0.524133\pi\)
\(558\) 66.7828 + 9.60191i 2.82714 + 0.406481i
\(559\) 0.0177677 + 0.0205050i 0.000751492 + 0.000867268i
\(560\) 35.9695 108.393i 1.51999 4.58043i
\(561\) 0.256647 + 0.147043i 0.0108356 + 0.00620817i
\(562\) −49.7382 + 22.7147i −2.09808 + 0.958160i
\(563\) 5.86925 + 2.68040i 0.247359 + 0.112965i 0.535237 0.844702i \(-0.320222\pi\)
−0.287878 + 0.957667i \(0.592950\pi\)
\(564\) 25.8262 + 179.625i 1.08748 + 7.56359i
\(565\) 1.12504 0.121966i 0.0473307 0.00513116i
\(566\) 19.8577 5.83075i 0.834681 0.245085i
\(567\) 23.8125 37.0530i 1.00003 1.55608i
\(568\) 25.3934 86.4821i 1.06548 3.62871i
\(569\) 33.0090 9.69231i 1.38381 0.406323i 0.496715 0.867914i \(-0.334539\pi\)
0.887093 + 0.461591i \(0.152721\pi\)
\(570\) −72.5904 89.9155i −3.04048 3.76614i
\(571\) −16.3306 + 18.8465i −0.683413 + 0.788700i −0.986412 0.164290i \(-0.947467\pi\)
0.302999 + 0.952991i \(0.402012\pi\)
\(572\) −0.222857 0.174064i −0.00931812 0.00727799i
\(573\) 27.3675 23.7141i 1.14329 0.990670i
\(574\) −52.9302 15.5417i −2.20927 0.648699i
\(575\) 1.03322 14.8166i 0.0430881 0.617894i
\(576\) −68.3060 + 78.8293i −2.84608 + 3.28455i
\(577\) 3.78264 12.8825i 0.157474 0.536306i −0.842524 0.538659i \(-0.818931\pi\)
0.999997 + 0.00235371i \(0.000749210\pi\)
\(578\) 45.3677i 1.88705i
\(579\) 18.3825 + 40.2521i 0.763952 + 1.67282i
\(580\) −5.92675 + 6.37714i −0.246095 + 0.264796i
\(581\) 15.1638 + 33.2041i 0.629101 + 1.37754i
\(582\) 36.9745 + 57.5335i 1.53264 + 2.38484i
\(583\) 4.77017 19.9513i 0.197560 0.826299i
\(584\) 1.55964 + 1.00232i 0.0645385 + 0.0414764i
\(585\) −0.00796220 + 0.228637i −0.000329196 + 0.00945297i
\(586\) 36.1351 41.7022i 1.49273 1.72270i
\(587\) −5.72815 + 0.823584i −0.236426 + 0.0339929i −0.259509 0.965741i \(-0.583561\pi\)
0.0230832 + 0.999734i \(0.492652\pi\)
\(588\) 130.284 112.892i 5.37282 4.65558i
\(589\) 22.1519 14.2362i 0.912753 0.586591i
\(590\) 16.6096 50.0523i 0.683806 2.06062i
\(591\) −1.83669 + 4.02180i −0.0755515 + 0.165435i
\(592\) −10.1892 34.7013i −0.418775 1.42622i
\(593\) −4.81439 16.3963i −0.197703 0.673315i −0.997344 0.0728366i \(-0.976795\pi\)
0.799641 0.600479i \(-0.205023\pi\)
\(594\) 38.8527 + 74.7544i 1.59415 + 3.06721i
\(595\) 0.0495989 0.276314i 0.00203336 0.0113278i
\(596\) −29.5378 −1.20991
\(597\) −76.1799 + 34.7902i −3.11784 + 1.42387i
\(598\) 0.0713375 0.111003i 0.00291721 0.00453926i
\(599\) −2.61490 18.1870i −0.106842 0.743101i −0.970861 0.239643i \(-0.922970\pi\)
0.864019 0.503459i \(-0.167939\pi\)
\(600\) 26.5690 123.190i 1.08468 5.02923i
\(601\) −1.95935 + 0.575317i −0.0799235 + 0.0234677i −0.321450 0.946927i \(-0.604170\pi\)
0.241526 + 0.970394i \(0.422352\pi\)
\(602\) 18.5228i 0.754934i
\(603\) 78.9294 11.3483i 3.21426 0.462140i
\(604\) −30.7665 −1.25187
\(605\) 23.0834 8.49463i 0.938472 0.345356i
\(606\) −6.71282 −0.272690
\(607\) −10.5433 + 1.51590i −0.427939 + 0.0615283i −0.352919 0.935654i \(-0.614811\pi\)
−0.0750195 + 0.997182i \(0.523902\pi\)
\(608\) 98.2671i 3.98526i
\(609\) −9.39046 + 2.75729i −0.380521 + 0.111731i
\(610\) −13.2667 + 39.9787i −0.537153 + 1.61869i
\(611\) −0.0277451 0.192971i −0.00112245 0.00780678i
\(612\) −0.502006 + 0.781136i −0.0202924 + 0.0315755i
\(613\) −8.01048 + 3.65826i −0.323540 + 0.147756i −0.570563 0.821254i \(-0.693275\pi\)
0.247023 + 0.969010i \(0.420548\pi\)
\(614\) −40.0934 −1.61804
\(615\) −32.3160 5.80078i −1.30311 0.233910i
\(616\) 22.6538 + 115.478i 0.912747 + 4.65274i
\(617\) 2.05484 + 6.99813i 0.0827246 + 0.281734i 0.990458 0.137813i \(-0.0440072\pi\)
−0.907734 + 0.419547i \(0.862189\pi\)
\(618\) −23.8085 81.0841i −0.957716 3.26168i
\(619\) −1.85596 + 4.06398i −0.0745971 + 0.163345i −0.943257 0.332065i \(-0.892255\pi\)
0.868659 + 0.495410i \(0.164982\pi\)
\(620\) 44.7109 + 14.8371i 1.79563 + 0.595870i
\(621\) −23.7850 + 15.2857i −0.954457 + 0.613392i
\(622\) −8.28696 + 7.18069i −0.332277 + 0.287920i
\(623\) −31.1261 + 4.47526i −1.24704 + 0.179297i
\(624\) 0.395443 0.456365i 0.0158304 0.0182692i
\(625\) 7.12860 + 23.9621i 0.285144 + 0.958485i
\(626\) −41.5228 26.6851i −1.65958 1.06655i
\(627\) 59.7026 + 23.6720i 2.38429 + 0.945369i
\(628\) 21.1898 + 32.9719i 0.845564 + 1.31572i
\(629\) −0.0369310 0.0808675i −0.00147253 0.00322440i
\(630\) 106.325 114.404i 4.23607 4.55798i
\(631\) 13.5297 + 29.6260i 0.538610 + 1.17939i 0.961901 + 0.273397i \(0.0881474\pi\)
−0.423291 + 0.905994i \(0.639125\pi\)
\(632\) 41.0303i 1.63210i
\(633\) 7.33721 24.9882i 0.291628 0.993193i
\(634\) 31.0397 35.8217i 1.23274 1.42266i
\(635\) −24.7966 4.45102i −0.984021 0.176633i
\(636\) 91.9435 + 26.9970i 3.64580 + 1.07050i
\(637\) −0.139964 + 0.121279i −0.00554557 + 0.00480527i
\(638\) 1.56440 6.54314i 0.0619353 0.259045i
\(639\) 43.5372 50.2447i 1.72231 1.98765i
\(640\) −25.3850 + 20.4938i −1.00343 + 0.810087i
\(641\) −0.925822 + 0.271846i −0.0365678 + 0.0107373i −0.299965 0.953950i \(-0.596975\pi\)
0.263398 + 0.964687i \(0.415157\pi\)
\(642\) 0.307895 1.04859i 0.0121516 0.0413847i
\(643\) 13.4547 20.9360i 0.530603 0.825635i −0.467698 0.883888i \(-0.654917\pi\)
0.998302 + 0.0582530i \(0.0185530\pi\)
\(644\) −62.1626 + 18.2526i −2.44955 + 0.719252i
\(645\) −1.18819 10.9600i −0.0467848 0.431551i
\(646\) 0.0717090 + 0.498747i 0.00282135 + 0.0196229i
\(647\) −4.08773 1.86680i −0.160705 0.0733916i 0.333438 0.942772i \(-0.391791\pi\)
−0.494144 + 0.869380i \(0.664518\pi\)
\(648\) −78.4221 + 35.8142i −3.08071 + 1.40691i
\(649\) 5.64212 + 28.7608i 0.221473 + 1.12896i
\(650\) −0.0468246 + 0.217107i −0.00183661 + 0.00851566i
\(651\) 34.6796 + 40.0224i 1.35920 + 1.56860i
\(652\) 1.74050 + 0.250246i 0.0681632 + 0.00980039i
\(653\) −8.60427 13.3885i −0.336711 0.523933i 0.631070 0.775726i \(-0.282616\pi\)
−0.967781 + 0.251793i \(0.918980\pi\)
\(654\) 40.7819 + 89.2998i 1.59470 + 3.49190i
\(655\) −31.0787 21.5374i −1.21434 0.841535i
\(656\) 38.1385 + 44.0142i 1.48906 + 1.71847i
\(657\) 0.739324 + 1.15041i 0.0288438 + 0.0448818i
\(658\) −71.9565 + 111.967i −2.80516 + 4.36491i
\(659\) −3.58076 24.9047i −0.139487 0.970150i −0.932558 0.361021i \(-0.882428\pi\)
0.793071 0.609129i \(-0.208481\pi\)
\(660\) 34.1417 + 109.709i 1.32896 + 4.27040i
\(661\) −3.04108 + 21.1512i −0.118284 + 0.822685i 0.841160 + 0.540787i \(0.181873\pi\)
−0.959444 + 0.281899i \(0.909036\pi\)
\(662\) −15.5375 13.4633i −0.603883 0.523268i
\(663\) 0.000802505 0.00124872i 3.11667e−5 4.84964e-5i
\(664\) 10.1684 70.7226i 0.394610 2.74457i
\(665\) 2.12146 60.9184i 0.0822667 2.36231i
\(666\) 7.03890 48.9566i 0.272752 1.89703i
\(667\) 2.23475 + 0.321309i 0.0865299 + 0.0124411i
\(668\) 35.0007 54.4621i 1.35422 2.10720i
\(669\) −47.5363 + 54.8598i −1.83786 + 2.12100i
\(670\) 77.3673 + 2.69429i 2.98896 + 0.104089i
\(671\) −4.50658 22.9723i −0.173974 0.886837i
\(672\) −195.617 + 28.1255i −7.54608 + 1.08496i
\(673\) −4.05395 + 6.30806i −0.156268 + 0.243158i −0.910556 0.413386i \(-0.864346\pi\)
0.754288 + 0.656544i \(0.227982\pi\)
\(674\) 64.3519 41.3564i 2.47874 1.59299i
\(675\) 28.4517 38.1483i 1.09511 1.46833i
\(676\) 43.6089 50.3274i 1.67727 1.93567i
\(677\) 29.2119 13.3406i 1.12270 0.512722i 0.234474 0.972122i \(-0.424663\pi\)
0.888229 + 0.459401i \(0.151936\pi\)
\(678\) −2.20845 3.43642i −0.0848152 0.131975i
\(679\) −5.13390 + 35.7071i −0.197021 + 1.37031i
\(680\) −0.374079 + 0.402506i −0.0143453 + 0.0154354i
\(681\) −22.4276 + 49.1096i −0.859428 + 1.88189i
\(682\) −35.7221 + 7.00776i −1.36787 + 0.268341i
\(683\) 4.59193 2.09706i 0.175705 0.0802419i −0.325620 0.945501i \(-0.605573\pi\)
0.501326 + 0.865259i \(0.332846\pi\)
\(684\) −83.7537 + 183.395i −3.20240 + 7.01228i
\(685\) −6.25942 24.4335i −0.239160 0.933554i
\(686\) 46.8947 1.79045
\(687\) 22.1017 + 75.2713i 0.843231 + 2.87178i
\(688\) −10.5723 + 16.4508i −0.403065 + 0.627181i
\(689\) −0.0987747 0.0290029i −0.00376302 0.00110492i
\(690\) −49.5144 + 20.5612i −1.88498 + 0.782750i
\(691\) −32.4572 + 20.8590i −1.23473 + 0.793513i −0.984621 0.174704i \(-0.944103\pi\)
−0.250110 + 0.968217i \(0.580467\pi\)
\(692\) −46.3503 40.1628i −1.76197 1.52676i
\(693\) −20.1845 + 84.4220i −0.766745 + 3.20693i
\(694\) 28.3756 + 32.7472i 1.07712 + 1.24307i
\(695\) −5.76250 + 32.1027i −0.218584 + 1.21773i
\(696\) 18.3807 + 5.39706i 0.696719 + 0.204575i
\(697\) 0.108193 + 0.0937493i 0.00409808 + 0.00355101i
\(698\) −15.9021 + 54.1574i −0.601901 + 2.04989i
\(699\) −47.9554 −1.81384
\(700\) 87.1827 65.5064i 3.29520 2.47591i
\(701\) 26.6085 + 30.7078i 1.00499 + 1.15982i 0.987121 + 0.159978i \(0.0511422\pi\)
0.0178675 + 0.999840i \(0.494312\pi\)
\(702\) 0.384581 0.175632i 0.0145151 0.00662881i
\(703\) −10.4361 16.2389i −0.393606 0.612463i
\(704\) 20.7432 52.3158i 0.781787 1.97173i
\(705\) −35.3947 + 70.8669i −1.33304 + 2.66900i
\(706\) −3.62982 + 25.2460i −0.136610 + 0.950144i
\(707\) −2.67600 2.31877i −0.100641 0.0872062i
\(708\) −135.517 + 19.4844i −5.09304 + 0.732269i
\(709\) −11.2803 13.0181i −0.423639 0.488906i 0.503303 0.864110i \(-0.332118\pi\)
−0.926942 + 0.375204i \(0.877573\pi\)
\(710\) 50.2199 40.5435i 1.88472 1.52157i
\(711\) 12.5723 27.5295i 0.471498 1.03244i
\(712\) 55.9898 + 25.5697i 2.09831 + 0.958265i
\(713\) −3.44183 11.7218i −0.128898 0.438985i
\(714\) −0.972314 + 0.285497i −0.0363880 + 0.0106845i
\(715\) −0.0366784 0.117860i −0.00137169 0.00440771i
\(716\) 0.0274786 + 0.00806845i 0.00102692 + 0.000301532i
\(717\) 83.0218i 3.10051i
\(718\) −34.2487 + 15.6409i −1.27815 + 0.583712i
\(719\) −17.4390 11.2074i −0.650366 0.417965i 0.173434 0.984845i \(-0.444514\pi\)
−0.823800 + 0.566881i \(0.808150\pi\)
\(720\) −159.729 + 40.9199i −5.95277 + 1.52499i
\(721\) 18.5174 40.5474i 0.689623 1.51006i
\(722\) 16.5376 + 56.3217i 0.615464 + 2.09608i
\(723\) 4.80354i 0.178645i
\(724\) 3.98981 + 27.7497i 0.148280 + 1.03131i
\(725\) −3.71195 + 0.814403i −0.137858 + 0.0302462i
\(726\) −64.6635 60.8432i −2.39989 2.25810i
\(727\) 36.4409i 1.35152i −0.737122 0.675760i \(-0.763816\pi\)
0.737122 0.675760i \(-0.236184\pi\)
\(728\) 0.584544 0.0840448i 0.0216647 0.00311491i
\(729\) 22.7670 0.843222
\(730\) 0.509138 + 1.22608i 0.0188440 + 0.0453793i
\(731\) −0.0199686 + 0.0437250i −0.000738564 + 0.00161723i
\(732\) 108.243 15.5629i 4.00076 0.575223i
\(733\) −19.6913 + 30.6403i −0.727315 + 1.13172i 0.258843 + 0.965919i \(0.416659\pi\)
−0.986158 + 0.165806i \(0.946978\pi\)
\(734\) −4.87926 10.6841i −0.180097 0.394357i
\(735\) 74.8116 8.11038i 2.75947 0.299156i
\(736\) 43.7440 + 12.8444i 1.61242 + 0.473451i
\(737\) −38.1758 + 19.8414i −1.40622 + 0.730869i
\(738\) 22.4389 + 76.4200i 0.825988 + 2.81306i
\(739\) −32.8309 + 9.64002i −1.20770 + 0.354614i −0.822794 0.568340i \(-0.807586\pi\)
−0.384910 + 0.922954i \(0.625768\pi\)
\(740\) 10.8766 32.7763i 0.399833 1.20488i
\(741\) 0.133889 0.293175i 0.00491852 0.0107701i
\(742\) 37.9961 + 59.1230i 1.39488 + 2.17048i
\(743\) 41.1783 35.6812i 1.51069 1.30902i 0.733872 0.679287i \(-0.237711\pi\)
0.776814 0.629730i \(-0.216834\pi\)
\(744\) −14.7520 102.602i −0.540834 3.76159i
\(745\) −10.5975 7.34403i −0.388263 0.269064i
\(746\) 4.17437 29.0334i 0.152834 1.06299i
\(747\) 28.4930 44.3359i 1.04250 1.62217i
\(748\) 0.116499 0.487257i 0.00425961 0.0178159i
\(749\) 0.484948 0.311657i 0.0177196 0.0113877i
\(750\) 65.8843 61.6695i 2.40576 2.25185i
\(751\) 33.5062 + 38.6682i 1.22266 + 1.41102i 0.882275 + 0.470734i \(0.156011\pi\)
0.340382 + 0.940287i \(0.389444\pi\)
\(752\) 127.814 58.3709i 4.66092 2.12857i
\(753\) 57.7915i 2.10604i
\(754\) −0.0323937 0.00951164i −0.00117971 0.000346394i
\(755\) −11.0384 7.64953i −0.401727 0.278395i
\(756\) −199.178 58.4840i −7.24404 2.12704i
\(757\) −1.97747 + 6.73463i −0.0718722 + 0.244774i −0.987592 0.157044i \(-0.949804\pi\)
0.915719 + 0.401818i \(0.131622\pi\)
\(758\) −2.54402 + 2.20441i −0.0924030 + 0.0800677i
\(759\) 18.3414 23.4827i 0.665749 0.852368i
\(760\) −67.9596 + 98.0665i −2.46515 + 3.55725i
\(761\) −23.0167 + 14.7919i −0.834354 + 0.536207i −0.886659 0.462424i \(-0.846980\pi\)
0.0523046 + 0.998631i \(0.483343\pi\)
\(762\) 25.6206 + 87.2559i 0.928138 + 3.16095i
\(763\) −14.5890 + 49.6855i −0.528157 + 1.79874i
\(764\) −51.5983 33.1602i −1.86676 1.19970i
\(765\) −0.374324 + 0.155440i −0.0135337 + 0.00561995i
\(766\) −8.51908 −0.307807
\(767\) 0.145586 0.0209321i 0.00525680 0.000755814i
\(768\) 13.7613 + 6.28458i 0.496569 + 0.226775i
\(769\) 17.7219 + 38.8055i 0.639067 + 1.39936i 0.900805 + 0.434223i \(0.142977\pi\)
−0.261738 + 0.965139i \(0.584296\pi\)
\(770\) −33.7675 + 77.2070i −1.21690 + 2.78235i
\(771\) 32.8452 71.9210i 1.18289 2.59017i
\(772\) 56.6438 49.0822i 2.03866 1.76651i
\(773\) −26.2621 3.77592i −0.944581 0.135810i −0.347221 0.937783i \(-0.612875\pi\)
−0.597360 + 0.801973i \(0.703784\pi\)
\(774\) −22.4976 + 14.4584i −0.808661 + 0.519695i
\(775\) 12.3523 + 16.4398i 0.443709 + 0.590533i
\(776\) 46.2404 53.3643i 1.65993 1.91567i
\(777\) 29.3393 25.4227i 1.05254 0.912033i
\(778\) 14.5086 + 22.5758i 0.520159 + 0.809383i
\(779\) 26.1498 + 16.8054i 0.936913 + 0.602118i
\(780\) 0.558563 0.143094i 0.0199998 0.00512359i
\(781\) −13.2214 + 33.3453i −0.473099 + 1.19319i
\(782\) 0.231392 + 0.0332692i 0.00827457 + 0.00118970i
\(783\) 5.46717 + 4.73733i 0.195381 + 0.169298i
\(784\) −112.291 72.1648i −4.01038 2.57732i
\(785\) −0.595434 + 17.0981i −0.0212519 + 0.610256i
\(786\) −19.4247 + 135.102i −0.692856 + 4.81892i
\(787\) −46.1010 6.62833i −1.64332 0.236274i −0.742308 0.670059i \(-0.766269\pi\)
−0.901017 + 0.433785i \(0.857178\pi\)
\(788\) 7.41247 + 1.06575i 0.264058 + 0.0379659i
\(789\) −58.2701 37.4479i −2.07447 1.33318i
\(790\) 16.7353 24.1493i 0.595416 0.859192i
\(791\) 0.306643 2.13275i 0.0109030 0.0758318i
\(792\) 122.576 117.654i 4.35553 4.18064i
\(793\) −0.116285 + 0.0167192i −0.00412940 + 0.000593718i
\(794\) 25.2680 + 16.2387i 0.896727 + 0.576291i
\(795\) 26.2750 + 32.5460i 0.931879 + 1.15429i
\(796\) 92.8914 + 107.202i 3.29245 + 3.79969i
\(797\) −11.7477 10.1794i −0.416124 0.360574i 0.421493 0.906832i \(-0.361506\pi\)
−0.837617 + 0.546258i \(0.816052\pi\)
\(798\) −200.149 + 91.4048i −7.08519 + 3.23570i
\(799\) 0.290567 0.186736i 0.0102795 0.00660624i
\(800\) −76.5334 + 5.61062i −2.70587 + 0.198366i
\(801\) 29.7317 + 34.3122i 1.05052 + 1.21236i
\(802\) 4.39879 + 2.00886i 0.155327 + 0.0709354i
\(803\) −0.581481 0.454171i −0.0205200 0.0160273i
\(804\) −83.4892 182.816i −2.94444 6.44742i
\(805\) −26.8408 8.90696i −0.946013 0.313929i
\(806\) 0.0259985 + 0.180824i 0.000915759 + 0.00636925i
\(807\) 47.9547i 1.68808i
\(808\) 1.95263 + 6.65006i 0.0686934 + 0.233948i
\(809\) 2.73991 + 1.76084i 0.0963302 + 0.0619077i 0.587919 0.808920i \(-0.299947\pi\)
−0.491589 + 0.870827i \(0.663584\pi\)
\(810\) −60.7648 10.9074i −2.13506 0.383246i
\(811\) 3.82663 1.12360i 0.134371 0.0394550i −0.213855 0.976865i \(-0.568602\pi\)
0.348227 + 0.937410i \(0.386784\pi\)
\(812\) 8.96201 + 13.9452i 0.314505 + 0.489379i
\(813\) 0.282999 + 0.245220i 0.00992521 + 0.00860024i
\(814\) 5.13719 + 26.1869i 0.180058 + 0.917850i
\(815\) 0.562235 + 0.522526i 0.0196942 + 0.0183033i
\(816\) 1.02650 + 0.301408i 0.0359347 + 0.0105514i
\(817\) −2.94052 + 10.0145i −0.102876 + 0.350362i
\(818\) 38.1930 + 33.0944i 1.33539 + 1.15712i
\(819\) 0.417955 + 0.122723i 0.0146045 + 0.00428828i
\(820\) 5.99365 + 55.2864i 0.209307 + 1.93069i
\(821\) −19.9184 43.6151i −0.695155 1.52218i −0.845748 0.533582i \(-0.820846\pi\)
0.150593 0.988596i \(-0.451882\pi\)
\(822\) −68.8084 + 59.6228i −2.39997 + 2.07958i
\(823\) 0.342557 0.156440i 0.0119408 0.00545317i −0.409436 0.912339i \(-0.634274\pi\)
0.421376 + 0.906886i \(0.361547\pi\)
\(824\) −73.4006 + 47.1717i −2.55703 + 1.64330i
\(825\) −15.0277 + 47.8498i −0.523199 + 1.66592i
\(826\) −84.4724 54.2871i −2.93917 1.88889i
\(827\) 11.7524 + 1.68974i 0.408670 + 0.0587579i 0.343584 0.939122i \(-0.388359\pi\)
0.0650856 + 0.997880i \(0.479268\pi\)
\(828\) 70.6917 + 61.2547i 2.45670 + 2.12875i
\(829\) −6.33537 44.0634i −0.220036 1.53039i −0.737892 0.674919i \(-0.764179\pi\)
0.517856 0.855468i \(-0.326730\pi\)
\(830\) 34.8310 37.4779i 1.20900 1.30088i
\(831\) −19.0221 + 12.2248i −0.659869 + 0.424072i
\(832\) −0.256901 0.117323i −0.00890645 0.00406744i
\(833\) −0.298461 0.136302i −0.0103410 0.00472260i
\(834\) 112.965 33.1696i 3.91167 1.14857i
\(835\) 26.0985 10.8376i 0.903176 0.375049i
\(836\) 9.98127 108.322i 0.345209 3.74638i
\(837\) 11.0281 37.5584i 0.381188 1.29821i
\(838\) 60.3274i 2.08398i
\(839\) 9.25305 + 20.2613i 0.319451 + 0.699499i 0.999431 0.0337310i \(-0.0107390\pi\)
−0.679980 + 0.733230i \(0.738012\pi\)
\(840\) −214.669 107.217i −7.40677 3.69933i
\(841\) 4.04492 + 28.1330i 0.139480 + 0.970104i
\(842\) 72.5568 + 33.1356i 2.50047 + 1.14193i
\(843\) 17.4575 + 59.4547i 0.601268 + 2.04773i
\(844\) −44.1109 −1.51836
\(845\) 28.1589 7.21382i 0.968696 0.248163i
\(846\) 192.161 6.60662
\(847\) −4.76077 46.5909i −0.163582 1.60088i
\(848\) 74.1964i 2.54791i
\(849\) −3.33778 23.2148i −0.114552 0.796729i
\(850\) −0.384346 + 0.0843255i −0.0131829 + 0.00289234i
\(851\) −8.59292 + 2.52311i −0.294562 + 0.0864911i
\(852\) −152.421 69.6082i −5.22184 2.38474i
\(853\) −38.3011 + 5.50687i −1.31140 + 0.188552i −0.762312 0.647210i \(-0.775936\pi\)
−0.549093 + 0.835761i \(0.685027\pi\)
\(854\) 67.4713 + 43.3612i 2.30882 + 1.48379i
\(855\) −75.6468 + 44.9744i −2.58707 + 1.53809i
\(856\) −1.12835 −0.0385662
\(857\) 6.60918 22.5088i 0.225765 0.768885i −0.766225 0.642572i \(-0.777867\pi\)
0.991990 0.126313i \(-0.0403145\pi\)
\(858\) −0.321452 + 0.308545i −0.0109742 + 0.0105335i
\(859\) 37.3982 10.9811i 1.27601 0.374671i 0.427581 0.903977i \(-0.359366\pi\)
0.848431 + 0.529306i \(0.177548\pi\)
\(860\) −17.2447 + 7.16097i −0.588040 + 0.244187i
\(861\) −25.9696 + 56.8654i −0.885041 + 1.93797i
\(862\) 14.3242 + 6.54163i 0.487883 + 0.222809i
\(863\) 3.51395 + 5.46782i 0.119616 + 0.186127i 0.895898 0.444259i \(-0.146533\pi\)
−0.776282 + 0.630386i \(0.782897\pi\)
\(864\) 95.6617 + 110.400i 3.25448 + 3.75587i
\(865\) −6.64375 25.9337i −0.225894 0.881772i
\(866\) −64.3977 + 74.3189i −2.18832 + 2.52546i
\(867\) −50.8890 7.31674i −1.72828 0.248489i
\(868\) 48.4937 75.4577i 1.64598 2.56120i
\(869\) −1.49829 + 16.2602i −0.0508260 + 0.551589i
\(870\) 8.61703 + 10.6736i 0.292145 + 0.361870i
\(871\) 0.0896924 + 0.196399i 0.00303911 + 0.00665472i
\(872\) 76.6023 66.3762i 2.59408 2.24778i
\(873\) 47.3768 21.6363i 1.60346 0.732277i
\(874\) 50.7591 1.71695
\(875\) 47.5663 1.82592i 1.60803 0.0617272i
\(876\) 2.25705 2.60477i 0.0762586 0.0880071i
\(877\) −4.66362 + 15.8828i −0.157479 + 0.536326i −0.999997 0.00234286i \(-0.999254\pi\)
0.842518 + 0.538668i \(0.181072\pi\)
\(878\) 1.28314 4.36996i 0.0433037 0.147479i
\(879\) −40.9497 47.2584i −1.38120 1.59399i
\(880\) 74.0577 49.2969i 2.49648 1.66180i
\(881\) 21.6769 25.0165i 0.730314 0.842828i −0.262193 0.965016i \(-0.584446\pi\)
0.992507 + 0.122188i \(0.0389910\pi\)
\(882\) −98.6906 153.566i −3.32309 5.17082i
\(883\) 4.45881 + 15.1853i 0.150051 + 0.511027i 0.999871 0.0160459i \(-0.00510779\pi\)
−0.849820 + 0.527073i \(0.823290\pi\)
\(884\) −0.00241231 0.000708317i −8.11347e−5 2.38233e-5i
\(885\) −53.4651 26.7033i −1.79721 0.897620i
\(886\) −30.7162 + 9.01909i −1.03193 + 0.303002i
\(887\) 4.26778i 0.143298i −0.997430 0.0716491i \(-0.977174\pi\)
0.997430 0.0716491i \(-0.0228262\pi\)
\(888\) −75.2150 + 10.8143i −2.52405 + 0.362903i
\(889\) −19.9268 + 43.6337i −0.668325 + 1.46343i
\(890\) 22.5247 + 37.8866i 0.755031 + 1.26996i
\(891\) 32.3863 11.3293i 1.08498 0.379547i
\(892\) 111.839 + 51.0752i 3.74465 + 1.71012i
\(893\) 56.6785 49.1122i 1.89668 1.64348i
\(894\) −6.62363 + 46.0684i −0.221527 + 1.54076i
\(895\) 0.00785266 + 0.00972684i 0.000262485 + 0.000325132i
\(896\) 25.8055 + 56.5061i 0.862100 + 1.88774i
\(897\) −0.113008 0.0979216i −0.00377321 0.00326951i
\(898\) 0.851298 0.737654i 0.0284082 0.0246158i
\(899\) −2.62959 + 1.68994i −0.0877019 + 0.0563626i
\(900\) −147.616 54.7589i −4.92052 1.82530i
\(901\) −0.0259560 0.180528i −0.000864719 0.00601425i
\(902\) −25.0426 34.9219i −0.833828 1.16277i
\(903\) −20.7771 2.98729i −0.691418 0.0994109i
\(904\) −2.76189 + 3.18740i −0.0918593 + 0.106011i
\(905\) −5.46801 + 10.9480i −0.181763 + 0.363924i
\(906\) −6.89917 + 47.9848i −0.229209 + 1.59419i
\(907\) −16.8682 2.42528i −0.560100 0.0805302i −0.143550 0.989643i \(-0.545852\pi\)
−0.416550 + 0.909113i \(0.636761\pi\)
\(908\) 90.5127 + 13.0138i 3.00377 + 0.431877i
\(909\) −0.727548 + 5.06021i −0.0241312 + 0.167836i
\(910\) 0.378326 + 0.188956i 0.0125414 + 0.00626383i
\(911\) 22.2093 25.6308i 0.735825 0.849188i −0.257289 0.966334i \(-0.582829\pi\)
0.993115 + 0.117147i \(0.0373748\pi\)
\(912\) 229.931 + 33.0590i 7.61376 + 1.09469i
\(913\) −6.61226 + 27.6559i −0.218834 + 0.915276i
\(914\) 6.08733 + 42.3383i 0.201351 + 1.40043i
\(915\) 42.7046 + 21.3289i 1.41177 + 0.705112i
\(916\) 111.781 71.8370i 3.69333 2.37356i
\(917\) −54.4108 + 47.1473i −1.79680 + 1.55694i
\(918\) 0.566086 + 0.490517i 0.0186836 + 0.0161895i
\(919\) −13.9221 30.4851i −0.459247 1.00561i −0.987659 0.156622i \(-0.949940\pi\)
0.528412 0.848988i \(-0.322788\pi\)
\(920\) 34.7718 + 43.0707i 1.14639 + 1.42000i
\(921\) −6.46611 + 44.9728i −0.213066 + 1.48190i
\(922\) 62.9548 54.5506i 2.07331 1.79653i
\(923\) 0.163745 + 0.0747800i 0.00538974 + 0.00246141i
\(924\) 218.489 11.1339i 7.18776 0.366278i
\(925\) 12.0515 9.05515i 0.396252 0.297732i
\(926\) 41.6930 91.2948i 1.37012 3.00013i
\(927\) −63.7026 + 9.15905i −2.09227 + 0.300823i
\(928\) 11.6650i 0.382924i
\(929\) −53.2139 + 15.6250i −1.74589 + 0.512640i −0.989878 0.141919i \(-0.954673\pi\)
−0.756012 + 0.654558i \(0.772855\pi\)
\(930\) 33.1666 66.4059i 1.08758 2.17753i
\(931\) −68.3573 20.0715i −2.24032 0.657818i
\(932\) 22.8837 + 77.9348i 0.749581 + 2.55284i
\(933\) 6.71811 + 10.4536i 0.219941 + 0.342235i
\(934\) 25.6055 29.5503i 0.837838 0.966917i
\(935\) 0.162945 0.145852i 0.00532886 0.00476987i
\(936\) −0.558358 0.644379i −0.0182505 0.0210622i
\(937\) −5.38874 + 18.3524i −0.176042 + 0.599546i 0.823441 + 0.567402i \(0.192051\pi\)
−0.999483 + 0.0321434i \(0.989767\pi\)
\(938\) 41.5275 141.430i 1.35592 4.61785i
\(939\) −36.6293 + 42.2725i −1.19535 + 1.37951i
\(940\) 132.059 + 23.7049i 4.30730 + 0.773167i
\(941\) −34.0047 −1.10852 −0.554260 0.832343i \(-0.686999\pi\)
−0.554260 + 0.832343i \(0.686999\pi\)
\(942\) 56.1761 25.6547i 1.83032 0.835877i
\(943\) 10.8990 9.44406i 0.354921 0.307541i
\(944\) 44.0375 + 96.4288i 1.43330 + 3.13849i
\(945\) −56.9199 70.5048i −1.85160 2.29352i
\(946\) 8.88185 11.3716i 0.288774 0.369721i
\(947\) −5.92327 + 9.21678i −0.192480 + 0.299505i −0.924058 0.382253i \(-0.875148\pi\)
0.731577 + 0.681759i \(0.238785\pi\)
\(948\) −75.5014 10.8555i −2.45217 0.352569i
\(949\) −0.00242474 + 0.00279830i −7.87106e−5 + 9.08368e-5i
\(950\) −79.9982 + 30.0000i −2.59548 + 0.973328i
\(951\) −35.1753 40.5944i −1.14064 1.31636i
\(952\) 0.565656 + 0.880178i 0.0183330 + 0.0285267i
\(953\) 5.02958 + 2.29693i 0.162924 + 0.0744049i 0.495208 0.868775i \(-0.335092\pi\)
−0.332284 + 0.943179i \(0.607819\pi\)
\(954\) 42.1517 92.2994i 1.36471 2.98830i
\(955\) −10.2677 24.7262i −0.332255 0.800120i
\(956\) −134.923 + 39.6169i −4.36372 + 1.28130i
\(957\) −7.08715 2.81005i −0.229095 0.0908359i
\(958\) −0.854430 + 2.90992i −0.0276054 + 0.0940153i
\(959\) −48.0249 −1.55081
\(960\) 58.6434 + 98.6381i 1.89271 + 3.18353i
\(961\) −11.8500 7.61556i −0.382259 0.245663i
\(962\) 0.132557 0.0190588i 0.00427380 0.000614480i
\(963\) −0.757072 0.345743i −0.0243963 0.0111414i
\(964\) 7.80647 2.29219i 0.251429 0.0738263i
\(965\) 32.5260 3.52617i 1.04705 0.113511i
\(966\) 14.5280 + 101.044i 0.467431 + 3.25105i
\(967\) 11.4971i 0.369723i 0.982765 + 0.184862i \(0.0591837\pi\)
−0.982765 + 0.184862i \(0.940816\pi\)
\(968\) −41.4650 + 81.7571i −1.33274 + 2.62777i
\(969\) 0.571011 0.0183435
\(970\) 48.9819 12.5483i 1.57271 0.402901i
\(971\) −33.3563 −1.07045 −0.535227 0.844709i \(-0.679774\pi\)
−0.535227 + 0.844709i \(0.679774\pi\)
\(972\) 3.94548 + 13.4371i 0.126551 + 0.430994i
\(973\) 56.4901 + 25.7982i 1.81099 + 0.827052i
\(974\) 9.15222 + 63.6551i 0.293256 + 2.03964i
\(975\) 0.235978 + 0.0875375i 0.00755735 + 0.00280344i
\(976\) −35.1744 77.0213i −1.12591 2.46539i
\(977\) 22.2762i 0.712677i −0.934357 0.356339i \(-0.884025\pi\)
0.934357 0.356339i \(-0.115975\pi\)
\(978\) 0.780589 2.65844i 0.0249605 0.0850076i
\(979\) −21.2549 12.1778i −0.679310 0.389203i
\(980\) −48.8797 117.710i −1.56140 3.76010i
\(981\) 71.7353 21.0634i 2.29033 0.672502i
\(982\) −28.7471 13.1284i −0.917358 0.418943i
\(983\) 16.9688 + 7.74938i 0.541220 + 0.247167i 0.667217 0.744864i \(-0.267486\pi\)
−0.125997 + 0.992031i \(0.540213\pi\)
\(984\) 102.940 66.1556i 3.28161 2.10896i
\(985\) 2.39446 + 2.22535i 0.0762937 + 0.0709054i
\(986\) −0.00851240 0.0592050i −0.000271090 0.00188547i
\(987\) 113.988 + 98.7714i 3.62829 + 3.14393i
\(988\) −0.540343 0.0776896i −0.0171906 0.00247164i
\(989\) 4.07363 + 2.61796i 0.129534 + 0.0832464i
\(990\) 120.133 19.2518i 3.81807 0.611864i
\(991\) 18.7966 12.0799i 0.597095 0.383730i −0.206903 0.978361i \(-0.566339\pi\)
0.803998 + 0.594632i \(0.202702\pi\)
\(992\) −57.4159 + 26.2209i −1.82296 + 0.832516i
\(993\) −17.6077 + 15.2572i −0.558763 + 0.484171i
\(994\) −51.0518 111.788i −1.61926 3.54570i
\(995\) 6.67352 + 61.5576i 0.211565 + 1.95151i
\(996\) −127.449 37.4224i −4.03838 1.18578i
\(997\) −45.0038 38.9960i −1.42529 1.23502i −0.930647 0.365918i \(-0.880755\pi\)
−0.494638 0.869099i \(-0.664699\pi\)
\(998\) −4.61100 + 15.7036i −0.145959 + 0.497090i
\(999\) −27.5330 8.08442i −0.871106 0.255780i
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 605.2.o.a.34.2 640
5.4 even 2 inner 605.2.o.a.34.63 yes 640
121.89 even 11 inner 605.2.o.a.89.63 yes 640
605.89 even 22 inner 605.2.o.a.89.2 yes 640
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
605.2.o.a.34.2 640 1.1 even 1 trivial
605.2.o.a.34.63 yes 640 5.4 even 2 inner
605.2.o.a.89.2 yes 640 605.89 even 22 inner
605.2.o.a.89.63 yes 640 121.89 even 11 inner