Properties

Label 731.2.bm.a.3.11
Level $731$
Weight $2$
Character 731.3
Analytic conductor $5.837$
Analytic rank $0$
Dimension $6144$
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] = [731,2,Mod(3,731)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(731, base_ring=CyclotomicField(336))
 
chi = DirichletCharacter(H, H._module([21, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("731.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 731 = 17 \cdot 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 731.bm (of order \(336\), degree \(96\), 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: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(6144\)
Relative dimension: \(64\) over \(\Q(\zeta_{336})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{336}]$

Embedding invariants

Embedding label 3.11
Character \(\chi\) \(=\) 731.3
Dual form 731.2.bm.a.244.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.121276 + 2.15952i) q^{2} +(3.02862 + 0.841943i) q^{3} +(-2.66141 - 0.299869i) q^{4} +(-3.65250 + 1.08935i) q^{5} +(-2.18549 + 6.43826i) q^{6} +(-0.191575 + 2.92287i) q^{7} +(0.245733 - 1.44628i) q^{8} +(5.89407 + 3.55152i) q^{9} +O(q^{10})\) \(q+(-0.121276 + 2.15952i) q^{2} +(3.02862 + 0.841943i) q^{3} +(-2.66141 - 0.299869i) q^{4} +(-3.65250 + 1.08935i) q^{5} +(-2.18549 + 6.43826i) q^{6} +(-0.191575 + 2.92287i) q^{7} +(0.245733 - 1.44628i) q^{8} +(5.89407 + 3.55152i) q^{9} +(-1.90952 - 8.01977i) q^{10} +(-2.99864 - 1.54913i) q^{11} +(-7.80792 - 3.14894i) q^{12} +(5.61810 + 0.210215i) q^{13} +(-6.28878 - 0.768186i) q^{14} +(-11.9792 + 0.224036i) q^{15} +(-2.12873 - 0.485868i) q^{16} +(-0.253549 - 4.11530i) q^{17} +(-8.38441 + 12.2977i) q^{18} +(-1.70608 - 2.83140i) q^{19} +(10.0475 - 1.80394i) q^{20} +(-3.04110 + 8.69096i) q^{21} +(3.70905 - 6.28776i) q^{22} +(3.23150 + 5.03772i) q^{23} +(1.96192 - 4.17333i) q^{24} +(7.97092 - 5.21886i) q^{25} +(-1.13531 + 12.1069i) q^{26} +(8.38204 + 8.86597i) q^{27} +(1.38634 - 7.72151i) q^{28} +(-3.91399 + 3.06187i) q^{29} +(0.968979 - 25.8965i) q^{30} +(0.813103 + 1.91224i) q^{31} +(2.11965 - 7.35746i) q^{32} +(-7.77744 - 7.21641i) q^{33} +(8.91784 - 0.0484557i) q^{34} +(-2.48431 - 10.8845i) q^{35} +(-14.6215 - 11.2195i) q^{36} +(-2.70053 - 2.36830i) q^{37} +(6.32138 - 3.34095i) q^{38} +(16.8381 + 5.36678i) q^{39} +(0.677971 + 5.55023i) q^{40} +(2.22241 - 1.31097i) q^{41} +(-18.3995 - 7.62133i) q^{42} +(-2.14199 + 6.19773i) q^{43} +(7.51607 + 5.02208i) q^{44} +(-25.3969 - 6.55121i) q^{45} +(-11.2710 + 6.36754i) q^{46} +(-0.576655 + 5.11796i) q^{47} +(-6.03803 - 3.26378i) q^{48} +(-1.56636 - 0.206215i) q^{49} +(10.3036 + 17.8463i) q^{50} +(2.69695 - 12.6771i) q^{51} +(-14.8890 - 2.24416i) q^{52} +(0.681573 + 0.252895i) q^{53} +(-20.1628 + 17.0260i) q^{54} +(12.6401 + 2.39163i) q^{55} +(4.18021 + 0.995317i) q^{56} +(-2.78320 - 10.0116i) q^{57} +(-6.13751 - 8.82368i) q^{58} +(7.97184 + 5.65632i) q^{59} +(31.9487 + 2.99593i) q^{60} +(5.33073 - 2.14989i) q^{61} +(-4.22813 + 1.52401i) q^{62} +(-11.5098 + 16.5472i) q^{63} +(11.5097 + 4.02741i) q^{64} +(-20.7491 + 5.35229i) q^{65} +(16.5272 - 15.9204i) q^{66} +(1.79958 + 11.9394i) q^{67} +(-0.559255 + 11.0285i) q^{68} +(5.54549 + 17.9781i) q^{69} +(23.8066 - 4.04490i) q^{70} +(-9.22955 - 5.92039i) q^{71} +(6.58486 - 7.65175i) q^{72} +(0.729836 - 3.06523i) q^{73} +(5.44192 - 5.54464i) q^{74} +(28.5348 - 9.09487i) q^{75} +(3.69154 + 8.04712i) q^{76} +(5.10238 - 8.46786i) q^{77} +(-13.6318 + 35.7114i) q^{78} +(-1.90481 + 1.67048i) q^{79} +(8.30446 - 0.544303i) q^{80} +(8.27497 + 15.6570i) q^{81} +(2.56154 + 4.95835i) q^{82} +(-2.58541 + 0.850754i) q^{83} +(10.6998 - 22.2183i) q^{84} +(5.40910 + 14.7549i) q^{85} +(-13.1244 - 5.37733i) q^{86} +(-14.4319 + 5.97788i) q^{87} +(-2.97734 + 3.95620i) q^{88} +(-9.42875 + 8.11410i) q^{89} +(17.2275 - 54.0508i) q^{90} +(-1.69072 + 16.3807i) q^{91} +(-7.08969 - 14.3765i) q^{92} +(0.852584 + 6.47601i) q^{93} +(-10.9824 - 1.86599i) q^{94} +(9.31586 + 8.48315i) q^{95} +(12.6142 - 20.4983i) q^{96} +(0.810049 - 9.60354i) q^{97} +(0.635289 - 3.35758i) q^{98} +(-12.1724 - 19.7804i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6144 q - 112 q^{2} - 88 q^{3} - 80 q^{4} - 88 q^{5} - 48 q^{6} - 144 q^{7} - 112 q^{8} - 104 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6144 q - 112 q^{2} - 88 q^{3} - 80 q^{4} - 88 q^{5} - 48 q^{6} - 144 q^{7} - 112 q^{8} - 104 q^{9} - 104 q^{10} - 64 q^{11} - 88 q^{12} - 96 q^{13} - 104 q^{14} - 104 q^{15} - 104 q^{17} - 176 q^{18} - 88 q^{19} - 88 q^{20} - 80 q^{21} - 112 q^{22} - 112 q^{23} + 16 q^{24} - 88 q^{25} - 88 q^{26} - 112 q^{27} - 88 q^{28} - 88 q^{29} - 88 q^{30} - 136 q^{31} - 112 q^{32} - 88 q^{34} - 32 q^{35} - 64 q^{36} - 144 q^{37} - 96 q^{38} - 112 q^{39} - 104 q^{40} - 80 q^{41} - 24 q^{43} - 256 q^{44} - 336 q^{45} + 264 q^{46} - 160 q^{47} - 160 q^{48} - 48 q^{49} - 112 q^{51} - 80 q^{52} - 104 q^{53} - 256 q^{54} - 184 q^{55} - 104 q^{56} - 88 q^{57} + 16 q^{58} - 208 q^{59} - 136 q^{61} + 80 q^{62} - 88 q^{63} - 304 q^{64} - 112 q^{65} + 24 q^{66} - 104 q^{68} - 128 q^{69} - 112 q^{70} - 88 q^{71} - 408 q^{72} - 368 q^{73} + 136 q^{74} - 112 q^{75} + 528 q^{76} - 88 q^{77} + 384 q^{78} + 208 q^{79} - 432 q^{80} + 8 q^{81} - 112 q^{82} - 376 q^{83} - 176 q^{86} - 192 q^{87} - 112 q^{88} - 88 q^{89} - 88 q^{91} - 240 q^{92} + 1008 q^{93} + 560 q^{94} - 184 q^{95} - 488 q^{96} + 48 q^{97} + 320 q^{98} - 400 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(e\left(\frac{1}{16}\right)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.121276 + 2.15952i −0.0857553 + 1.52701i 0.600483 + 0.799637i \(0.294975\pi\)
−0.686238 + 0.727377i \(0.740739\pi\)
\(3\) 3.02862 + 0.841943i 1.74857 + 0.486096i 0.986827 0.161781i \(-0.0517238\pi\)
0.761745 + 0.647877i \(0.224343\pi\)
\(4\) −2.66141 0.299869i −1.33071 0.149934i
\(5\) −3.65250 + 1.08935i −1.63345 + 0.487173i −0.966228 0.257688i \(-0.917039\pi\)
−0.667219 + 0.744862i \(0.732515\pi\)
\(6\) −2.18549 + 6.43826i −0.892224 + 2.62841i
\(7\) −0.191575 + 2.92287i −0.0724086 + 1.10474i 0.794825 + 0.606839i \(0.207563\pi\)
−0.867233 + 0.497902i \(0.834104\pi\)
\(8\) 0.245733 1.44628i 0.0868797 0.511337i
\(9\) 5.89407 + 3.55152i 1.96469 + 1.18384i
\(10\) −1.90952 8.01977i −0.603844 2.53607i
\(11\) −2.99864 1.54913i −0.904123 0.467081i −0.0569373 0.998378i \(-0.518134\pi\)
−0.847186 + 0.531297i \(0.821705\pi\)
\(12\) −7.80792 3.14894i −2.25395 0.909022i
\(13\) 5.61810 + 0.210215i 1.55818 + 0.0583031i 0.802507 0.596643i \(-0.203499\pi\)
0.755675 + 0.654946i \(0.227309\pi\)
\(14\) −6.28878 0.768186i −1.68075 0.205306i
\(15\) −11.9792 + 0.224036i −3.09301 + 0.0578459i
\(16\) −2.12873 0.485868i −0.532182 0.121467i
\(17\) −0.253549 4.11530i −0.0614946 0.998107i
\(18\) −8.38441 + 12.2977i −1.97622 + 2.89859i
\(19\) −1.70608 2.83140i −0.391403 0.649568i 0.596858 0.802347i \(-0.296416\pi\)
−0.988260 + 0.152780i \(0.951178\pi\)
\(20\) 10.0475 1.80394i 2.24668 0.403374i
\(21\) −3.04110 + 8.69096i −0.663622 + 1.89652i
\(22\) 3.70905 6.28776i 0.790773 1.34055i
\(23\) 3.23150 + 5.03772i 0.673814 + 1.05044i 0.994650 + 0.103302i \(0.0329409\pi\)
−0.320836 + 0.947135i \(0.603964\pi\)
\(24\) 1.96192 4.17333i 0.400474 0.851878i
\(25\) 7.97092 5.21886i 1.59418 1.04377i
\(26\) −1.13531 + 12.1069i −0.222652 + 2.37437i
\(27\) 8.38204 + 8.86597i 1.61312 + 1.70626i
\(28\) 1.38634 7.72151i 0.261993 1.45923i
\(29\) −3.91399 + 3.06187i −0.726809 + 0.568575i −0.910053 0.414492i \(-0.863959\pi\)
0.183244 + 0.983067i \(0.441340\pi\)
\(30\) 0.968979 25.8965i 0.176911 4.72803i
\(31\) 0.813103 + 1.91224i 0.146038 + 0.343448i 0.977116 0.212708i \(-0.0682282\pi\)
−0.831078 + 0.556156i \(0.812276\pi\)
\(32\) 2.11965 7.35746i 0.374704 1.30063i
\(33\) −7.77744 7.21641i −1.35388 1.25622i
\(34\) 8.91784 0.0484557i 1.52940 0.00831008i
\(35\) −2.48431 10.8845i −0.419925 1.83981i
\(36\) −14.6215 11.2195i −2.43692 1.86992i
\(37\) −2.70053 2.36830i −0.443965 0.389347i 0.407969 0.912996i \(-0.366237\pi\)
−0.851934 + 0.523649i \(0.824570\pi\)
\(38\) 6.32138 3.34095i 1.02546 0.541973i
\(39\) 16.8381 + 5.36678i 2.69625 + 0.859373i
\(40\) 0.677971 + 5.55023i 0.107197 + 0.877568i
\(41\) 2.22241 1.31097i 0.347083 0.204739i −0.324114 0.946018i \(-0.605066\pi\)
0.671197 + 0.741279i \(0.265780\pi\)
\(42\) −18.3995 7.62133i −2.83911 1.17600i
\(43\) −2.14199 + 6.19773i −0.326651 + 0.945145i
\(44\) 7.51607 + 5.02208i 1.13309 + 0.757107i
\(45\) −25.3969 6.55121i −3.78595 0.976597i
\(46\) −11.2710 + 6.36754i −1.66182 + 0.938843i
\(47\) −0.576655 + 5.11796i −0.0841138 + 0.746530i 0.878887 + 0.477031i \(0.158287\pi\)
−0.963000 + 0.269500i \(0.913142\pi\)
\(48\) −6.03803 3.26378i −0.871514 0.471086i
\(49\) −1.56636 0.206215i −0.223766 0.0294593i
\(50\) 10.3036 + 17.8463i 1.45715 + 2.52385i
\(51\) 2.69695 12.6771i 0.377648 1.77515i
\(52\) −14.8890 2.24416i −2.06474 0.311209i
\(53\) 0.681573 + 0.252895i 0.0936213 + 0.0347378i 0.394248 0.919004i \(-0.371005\pi\)
−0.300626 + 0.953742i \(0.597196\pi\)
\(54\) −20.1628 + 17.0260i −2.74381 + 2.31694i
\(55\) 12.6401 + 2.39163i 1.70439 + 0.322487i
\(56\) 4.18021 + 0.995317i 0.558605 + 0.133005i
\(57\) −2.78320 10.0116i −0.368643 1.32607i
\(58\) −6.13751 8.82368i −0.805895 1.15861i
\(59\) 7.97184 + 5.65632i 1.03785 + 0.736391i 0.965345 0.260978i \(-0.0840449\pi\)
0.0725008 + 0.997368i \(0.476902\pi\)
\(60\) 31.9487 + 2.99593i 4.12456 + 0.386773i
\(61\) 5.33073 2.14989i 0.682530 0.275265i −0.00652037 0.999979i \(-0.502076\pi\)
0.689050 + 0.724714i \(0.258028\pi\)
\(62\) −4.22813 + 1.52401i −0.536973 + 0.193549i
\(63\) −11.5098 + 16.5472i −1.45010 + 2.08475i
\(64\) 11.5097 + 4.02741i 1.43871 + 0.503426i
\(65\) −20.7491 + 5.35229i −2.57361 + 0.663870i
\(66\) 16.5272 15.9204i 2.03436 1.95966i
\(67\) 1.79958 + 11.9394i 0.219853 + 1.45863i 0.777673 + 0.628669i \(0.216400\pi\)
−0.557820 + 0.829962i \(0.688362\pi\)
\(68\) −0.559255 + 11.0285i −0.0678196 + 1.33741i
\(69\) 5.54549 + 17.9781i 0.667599 + 2.16430i
\(70\) 23.8066 4.04490i 2.84543 0.483458i
\(71\) −9.22955 5.92039i −1.09535 0.702621i −0.137673 0.990478i \(-0.543962\pi\)
−0.957674 + 0.287856i \(0.907057\pi\)
\(72\) 6.58486 7.65175i 0.776034 0.901767i
\(73\) 0.729836 3.06523i 0.0854208 0.358758i −0.913413 0.407034i \(-0.866563\pi\)
0.998834 + 0.0482761i \(0.0153727\pi\)
\(74\) 5.44192 5.54464i 0.632610 0.644552i
\(75\) 28.5348 9.09487i 3.29492 1.05018i
\(76\) 3.69154 + 8.04712i 0.423449 + 0.923068i
\(77\) 5.10238 8.46786i 0.581470 0.965002i
\(78\) −13.6318 + 35.7114i −1.54349 + 4.04352i
\(79\) −1.90481 + 1.67048i −0.214308 + 0.187943i −0.759769 0.650193i \(-0.774688\pi\)
0.545461 + 0.838136i \(0.316355\pi\)
\(80\) 8.30446 0.544303i 0.928467 0.0608549i
\(81\) 8.27497 + 15.6570i 0.919441 + 1.73967i
\(82\) 2.56154 + 4.95835i 0.282875 + 0.547558i
\(83\) −2.58541 + 0.850754i −0.283786 + 0.0933824i −0.450958 0.892545i \(-0.648917\pi\)
0.167172 + 0.985928i \(0.446536\pi\)
\(84\) 10.6998 22.2183i 1.16744 2.42421i
\(85\) 5.40910 + 14.7549i 0.586700 + 1.60040i
\(86\) −13.1244 5.37733i −1.41524 0.579852i
\(87\) −14.4319 + 5.97788i −1.54726 + 0.640896i
\(88\) −2.97734 + 3.95620i −0.317386 + 0.421732i
\(89\) −9.42875 + 8.11410i −0.999445 + 0.860092i −0.990171 0.139865i \(-0.955333\pi\)
−0.00927481 + 0.999957i \(0.502952\pi\)
\(90\) 17.2275 54.0508i 1.81594 5.69745i
\(91\) −1.69072 + 16.3807i −0.177236 + 1.71717i
\(92\) −7.08969 14.3765i −0.739151 1.49885i
\(93\) 0.852584 + 6.47601i 0.0884088 + 0.671531i
\(94\) −10.9824 1.86599i −1.13275 0.192462i
\(95\) 9.31586 + 8.48315i 0.955787 + 0.870353i
\(96\) 12.6142 20.4983i 1.28743 2.09210i
\(97\) 0.810049 9.60354i 0.0822480 0.975091i −0.827918 0.560849i \(-0.810475\pi\)
0.910166 0.414243i \(-0.135954\pi\)
\(98\) 0.635289 3.35758i 0.0641739 0.339167i
\(99\) −12.1724 19.7804i −1.22337 1.98801i
\(100\) −22.7789 + 11.4993i −2.27789 + 1.14993i
\(101\) 18.3220 + 7.19084i 1.82310 + 0.715515i 0.985602 + 0.169080i \(0.0540796\pi\)
0.837501 + 0.546436i \(0.184016\pi\)
\(102\) 27.0495 + 7.36156i 2.67830 + 0.728903i
\(103\) 12.5054 3.85741i 1.23219 0.380082i 0.390786 0.920481i \(-0.372203\pi\)
0.841408 + 0.540400i \(0.181727\pi\)
\(104\) 1.68458 8.07370i 0.165187 0.791691i
\(105\) 1.64008 35.0565i 0.160056 3.42117i
\(106\) −0.628791 + 1.44120i −0.0610736 + 0.139982i
\(107\) −13.8836 8.18975i −1.34218 0.791733i −0.352611 0.935770i \(-0.614706\pi\)
−0.989572 + 0.144037i \(0.953992\pi\)
\(108\) −19.6494 26.1095i −1.89077 2.51239i
\(109\) 7.17318 + 1.56682i 0.687066 + 0.150074i 0.543301 0.839538i \(-0.317174\pi\)
0.143765 + 0.989612i \(0.454079\pi\)
\(110\) −6.69772 + 27.0065i −0.638603 + 2.57497i
\(111\) −6.18490 9.44637i −0.587045 0.896610i
\(112\) 1.82794 6.12892i 0.172724 0.579128i
\(113\) 0.208463 7.42989i 0.0196105 0.698945i −0.926721 0.375749i \(-0.877385\pi\)
0.946332 0.323196i \(-0.104757\pi\)
\(114\) 21.9579 4.79620i 2.05655 0.449206i
\(115\) −17.2909 14.8800i −1.61238 1.38757i
\(116\) 11.3349 6.97521i 1.05242 0.647632i
\(117\) 32.3669 + 21.1918i 2.99232 + 1.95919i
\(118\) −13.1818 + 16.5294i −1.21348 + 1.52166i
\(119\) 12.0771 + 0.0472997i 1.10710 + 0.00433595i
\(120\) −2.61966 + 17.3803i −0.239141 + 1.58660i
\(121\) 0.226629 + 0.319404i 0.0206027 + 0.0290367i
\(122\) 3.99625 + 11.7726i 0.361803 + 1.06584i
\(123\) 7.83460 2.09927i 0.706422 0.189285i
\(124\) −1.59058 5.33307i −0.142838 0.478924i
\(125\) −11.1333 + 13.1844i −0.995789 + 1.17925i
\(126\) −34.3383 26.8625i −3.05909 2.39310i
\(127\) 8.71682 7.78983i 0.773493 0.691235i −0.182961 0.983120i \(-0.558568\pi\)
0.956453 + 0.291885i \(0.0942824\pi\)
\(128\) −4.23294 + 10.2192i −0.374142 + 0.903260i
\(129\) −11.7054 + 16.9671i −1.03060 + 1.49387i
\(130\) −9.04202 45.4573i −0.793038 3.98687i
\(131\) 0.178148 + 1.26188i 0.0155648 + 0.110251i 0.996428 0.0844481i \(-0.0269127\pi\)
−0.980863 + 0.194699i \(0.937627\pi\)
\(132\) 18.5350 + 21.5380i 1.61326 + 1.87465i
\(133\) 8.60266 4.44424i 0.745945 0.385364i
\(134\) −26.0017 + 2.43826i −2.24620 + 0.210634i
\(135\) −40.2735 23.2519i −3.46619 2.00121i
\(136\) −6.01419 0.644563i −0.515712 0.0552708i
\(137\) 3.76974 0.860418i 0.322070 0.0735105i −0.0584292 0.998292i \(-0.518609\pi\)
0.380500 + 0.924781i \(0.375752\pi\)
\(138\) −39.4966 + 9.79532i −3.36217 + 0.833833i
\(139\) 7.35741 + 10.1665i 0.624047 + 0.862314i 0.997873 0.0651850i \(-0.0207637\pi\)
−0.373826 + 0.927499i \(0.621954\pi\)
\(140\) 3.34785 + 29.7130i 0.282945 + 2.51121i
\(141\) −6.05549 + 15.0148i −0.509964 + 1.26447i
\(142\) 13.9046 19.2134i 1.16684 1.61236i
\(143\) −16.5210 9.33355i −1.38156 0.780510i
\(144\) −10.8213 10.4240i −0.901775 0.868664i
\(145\) 10.9604 15.4472i 0.910209 1.28282i
\(146\) 6.53092 + 1.94784i 0.540502 + 0.161204i
\(147\) −4.57028 1.94333i −0.376951 0.160283i
\(148\) 6.47705 + 7.11283i 0.532410 + 0.584671i
\(149\) 19.1156 + 8.34007i 1.56601 + 0.683245i 0.990872 0.134808i \(-0.0430416\pi\)
0.575143 + 0.818053i \(0.304946\pi\)
\(150\) 16.1800 + 62.7246i 1.32109 + 5.12144i
\(151\) −0.580154 + 0.649193i −0.0472123 + 0.0528306i −0.768780 0.639513i \(-0.779136\pi\)
0.721568 + 0.692344i \(0.243422\pi\)
\(152\) −4.51424 + 1.77171i −0.366153 + 0.143704i
\(153\) 13.1212 25.1564i 1.06078 2.03377i
\(154\) 17.6677 + 12.0457i 1.42371 + 0.970667i
\(155\) −5.05296 6.09868i −0.405863 0.489858i
\(156\) −43.2037 19.3324i −3.45907 1.54783i
\(157\) 4.92573 2.14907i 0.393116 0.171515i −0.194031 0.980995i \(-0.562156\pi\)
0.587146 + 0.809481i \(0.300251\pi\)
\(158\) −3.37643 4.31608i −0.268614 0.343369i
\(159\) 1.85130 + 1.33977i 0.146818 + 0.106250i
\(160\) 0.272861 + 29.1822i 0.0215715 + 2.30705i
\(161\) −15.3437 + 8.48015i −1.20925 + 0.668330i
\(162\) −34.8152 + 15.9712i −2.73534 + 1.25481i
\(163\) 2.66411 2.92562i 0.208669 0.229152i −0.626113 0.779732i \(-0.715355\pi\)
0.834783 + 0.550580i \(0.185593\pi\)
\(164\) −6.30788 + 2.82259i −0.492562 + 0.220407i
\(165\) 36.2683 + 17.8855i 2.82348 + 1.39239i
\(166\) −1.52367 5.68643i −0.118260 0.441353i
\(167\) −5.35621 + 9.90905i −0.414476 + 0.766785i −0.999005 0.0445871i \(-0.985803\pi\)
0.584530 + 0.811372i \(0.301279\pi\)
\(168\) 11.8223 + 6.53393i 0.912107 + 0.504104i
\(169\) 18.5553 + 1.39052i 1.42733 + 0.106963i
\(170\) −32.5196 + 9.89166i −2.49414 + 0.758656i
\(171\) 22.7477i 1.73956i
\(172\) 7.55924 15.8524i 0.576386 1.20873i
\(173\) −10.2465 2.03815i −0.779026 0.154958i −0.210468 0.977601i \(-0.567499\pi\)
−0.568558 + 0.822643i \(0.692499\pi\)
\(174\) −11.1591 31.8910i −0.845971 2.41765i
\(175\) 13.7270 + 24.2978i 1.03767 + 1.83674i
\(176\) 5.63061 + 4.75463i 0.424423 + 0.358393i
\(177\) 19.3813 + 23.8427i 1.45679 + 1.79212i
\(178\) −16.3791 21.3457i −1.22767 1.59992i
\(179\) 10.2150 1.34483i 0.763505 0.100517i 0.261290 0.965260i \(-0.415852\pi\)
0.502215 + 0.864743i \(0.332519\pi\)
\(180\) 65.6272 + 25.0512i 4.89156 + 1.86721i
\(181\) 0.447720 + 9.56995i 0.0332788 + 0.711329i 0.950084 + 0.311994i \(0.100997\pi\)
−0.916805 + 0.399335i \(0.869241\pi\)
\(182\) −35.1695 5.63774i −2.60694 0.417897i
\(183\) 17.9548 2.02302i 1.32726 0.149546i
\(184\) 8.08004 3.43572i 0.595668 0.253285i
\(185\) 12.4436 + 5.70839i 0.914872 + 0.419689i
\(186\) −14.0885 + 1.05579i −1.03302 + 0.0774141i
\(187\) −5.61485 + 12.7331i −0.410598 + 0.931135i
\(188\) 3.06943 13.4481i 0.223861 0.980801i
\(189\) −27.5199 + 22.8011i −2.00178 + 1.65854i
\(190\) −19.4494 + 19.0890i −1.41101 + 1.38486i
\(191\) −13.2838 9.80388i −0.961181 0.709384i −0.00433850 0.999991i \(-0.501381\pi\)
−0.956843 + 0.290607i \(0.906143\pi\)
\(192\) 31.4675 + 21.8879i 2.27097 + 1.57963i
\(193\) 7.71744 5.80797i 0.555514 0.418067i −0.286058 0.958212i \(-0.592345\pi\)
0.841572 + 0.540145i \(0.181631\pi\)
\(194\) 20.6408 + 2.91400i 1.48193 + 0.209213i
\(195\) −67.3474 1.25954i −4.82285 0.0901976i
\(196\) 4.10689 + 1.01853i 0.293349 + 0.0727519i
\(197\) −4.18071 10.3662i −0.297863 0.738563i −0.999657 0.0261825i \(-0.991665\pi\)
0.701794 0.712380i \(-0.252383\pi\)
\(198\) 44.1925 23.8877i 3.14063 1.69762i
\(199\) 4.70746 1.79693i 0.333703 0.127381i −0.184037 0.982919i \(-0.558916\pi\)
0.517740 + 0.855538i \(0.326774\pi\)
\(200\) −5.58922 12.8106i −0.395217 0.905848i
\(201\) −4.60207 + 37.6750i −0.324605 + 2.65739i
\(202\) −17.7508 + 38.6946i −1.24894 + 2.72255i
\(203\) −8.19963 12.0267i −0.575501 0.844106i
\(204\) −10.9792 + 32.9304i −0.768696 + 2.30559i
\(205\) −6.68926 + 7.20930i −0.467198 + 0.503520i
\(206\) 6.81355 + 27.4735i 0.474723 + 1.91417i
\(207\) 1.15510 + 41.1694i 0.0802851 + 2.86147i
\(208\) −11.8573 3.17715i −0.822155 0.220296i
\(209\) 0.729714 + 11.1333i 0.0504754 + 0.770106i
\(210\) 75.5065 + 7.79333i 5.21045 + 0.537791i
\(211\) −0.170954 2.02674i −0.0117690 0.139527i 0.988132 0.153608i \(-0.0490892\pi\)
−0.999901 + 0.0140808i \(0.995518\pi\)
\(212\) −1.73811 0.877439i −0.119374 0.0602628i
\(213\) −22.9681 25.7013i −1.57375 1.76103i
\(214\) 19.3697 28.9888i 1.32409 1.98164i
\(215\) 1.07212 24.9706i 0.0731178 1.70298i
\(216\) 14.8824 9.94411i 1.01262 0.676611i
\(217\) −5.74499 + 2.01026i −0.389995 + 0.136465i
\(218\) −4.25351 + 15.3006i −0.288084 + 1.03629i
\(219\) 4.79114 8.66891i 0.323755 0.585791i
\(220\) −32.9232 10.1555i −2.21968 0.684682i
\(221\) −0.559366 23.1735i −0.0376270 1.55882i
\(222\) 21.1497 12.2108i 1.41948 0.819536i
\(223\) −3.67773 + 2.60949i −0.246279 + 0.174744i −0.695177 0.718839i \(-0.744674\pi\)
0.448898 + 0.893583i \(0.351817\pi\)
\(224\) 21.0988 + 7.60497i 1.40973 + 0.508128i
\(225\) 65.5160 2.45144i 4.36774 0.163429i
\(226\) 16.0197 + 1.35125i 1.06562 + 0.0898838i
\(227\) 3.29251 + 3.23151i 0.218532 + 0.214483i 0.801472 0.598032i \(-0.204050\pi\)
−0.582941 + 0.812515i \(0.698098\pi\)
\(228\) 4.40505 + 27.4797i 0.291731 + 1.81989i
\(229\) 10.3445 + 3.40396i 0.683584 + 0.224940i 0.633428 0.773801i \(-0.281647\pi\)
0.0501560 + 0.998741i \(0.484028\pi\)
\(230\) 34.2307 35.5355i 2.25711 2.34314i
\(231\) 22.5826 21.3500i 1.48583 1.40472i
\(232\) 3.46653 + 6.41312i 0.227589 + 0.421042i
\(233\) 0.126439 13.5226i 0.00828332 0.885893i −0.892358 0.451329i \(-0.850950\pi\)
0.900641 0.434564i \(-0.143097\pi\)
\(234\) −49.6896 + 67.3271i −3.24831 + 4.40131i
\(235\) −3.46903 19.3215i −0.226294 1.26040i
\(236\) −19.5202 17.4443i −1.27066 1.13553i
\(237\) −7.17539 + 3.45549i −0.466092 + 0.224458i
\(238\) −1.56681 + 26.0750i −0.101561 + 1.69019i
\(239\) −8.44289 + 1.27256i −0.546125 + 0.0823152i −0.416310 0.909223i \(-0.636677\pi\)
−0.129816 + 0.991538i \(0.541439\pi\)
\(240\) 25.6093 + 5.34340i 1.65307 + 0.344915i
\(241\) −2.03492 19.7155i −0.131081 1.26999i −0.831204 0.555967i \(-0.812348\pi\)
0.700124 0.714022i \(-0.253128\pi\)
\(242\) −0.717245 + 0.450675i −0.0461063 + 0.0289705i
\(243\) 4.06848 + 18.6263i 0.260993 + 1.19488i
\(244\) −14.8319 + 4.12322i −0.949518 + 0.263962i
\(245\) 5.94577 0.953119i 0.379861 0.0608925i
\(246\) 3.58328 + 17.1736i 0.228462 + 1.09495i
\(247\) −8.98976 16.2657i −0.572005 1.03496i
\(248\) 2.96544 0.706076i 0.188305 0.0448359i
\(249\) −8.54650 + 0.399839i −0.541612 + 0.0253388i
\(250\) −27.1219 25.6415i −1.71534 1.62171i
\(251\) 5.65300 21.0973i 0.356814 1.33165i −0.521372 0.853330i \(-0.674579\pi\)
0.878186 0.478319i \(-0.158754\pi\)
\(252\) 35.5943 40.5875i 2.24223 2.55677i
\(253\) −1.88600 20.1123i −0.118572 1.26445i
\(254\) 15.7652 + 19.7689i 0.989195 + 1.24041i
\(255\) 3.95928 + 49.2412i 0.247940 + 3.08360i
\(256\) 0.417448 + 0.201032i 0.0260905 + 0.0125645i
\(257\) 0.841491 + 2.03154i 0.0524908 + 0.126724i 0.947950 0.318420i \(-0.103152\pi\)
−0.895459 + 0.445144i \(0.853152\pi\)
\(258\) −35.2213 27.3358i −2.19278 1.70185i
\(259\) 7.43960 7.43960i 0.462274 0.462274i
\(260\) 56.8269 8.02263i 3.52426 0.497542i
\(261\) −33.9436 + 4.14627i −2.10106 + 0.256648i
\(262\) −2.74666 + 0.231678i −0.169689 + 0.0143131i
\(263\) −14.1509 11.7245i −0.872584 0.722964i 0.0894218 0.995994i \(-0.471498\pi\)
−0.962006 + 0.273030i \(0.911974\pi\)
\(264\) −12.3481 + 9.47505i −0.759974 + 0.583149i
\(265\) −2.76494 0.181224i −0.169849 0.0111325i
\(266\) 8.55414 + 19.1166i 0.524488 + 1.17212i
\(267\) −35.3877 + 16.6360i −2.16569 + 1.01811i
\(268\) −1.20915 32.3153i −0.0738608 1.97397i
\(269\) −1.67180 1.97981i −0.101931 0.120711i 0.710684 0.703511i \(-0.248386\pi\)
−0.812615 + 0.582800i \(0.801957\pi\)
\(270\) 55.0973 84.1518i 3.35312 5.12131i
\(271\) −8.98334 9.68173i −0.545699 0.588124i 0.398636 0.917109i \(-0.369484\pi\)
−0.944335 + 0.328986i \(0.893293\pi\)
\(272\) −1.45976 + 8.88355i −0.0885109 + 0.538645i
\(273\) −18.9122 + 48.1874i −1.14462 + 2.91644i
\(274\) 1.40091 + 8.24519i 0.0846323 + 0.498110i
\(275\) −31.9866 + 3.30146i −1.92886 + 0.199086i
\(276\) −9.36778 49.5099i −0.563874 2.98015i
\(277\) −3.72466 + 3.39173i −0.223793 + 0.203789i −0.777431 0.628969i \(-0.783477\pi\)
0.553638 + 0.832758i \(0.313239\pi\)
\(278\) −22.8471 + 14.6555i −1.37028 + 0.878981i
\(279\) −1.99886 + 14.1586i −0.119669 + 0.847654i
\(280\) −16.3525 + 0.918336i −0.977248 + 0.0548810i
\(281\) −0.0342240 + 1.82995i −0.00204163 + 0.109166i 0.997313 + 0.0732538i \(0.0233383\pi\)
−0.999355 + 0.0359119i \(0.988566\pi\)
\(282\) −31.6904 14.8979i −1.88714 0.887158i
\(283\) 0.239033 0.562153i 0.0142091 0.0334165i −0.913005 0.407949i \(-0.866244\pi\)
0.927214 + 0.374532i \(0.122197\pi\)
\(284\) 22.7883 + 18.5243i 1.35224 + 1.09921i
\(285\) 21.0718 + 33.5356i 1.24819 + 1.98648i
\(286\) 22.1596 34.5456i 1.31033 2.04272i
\(287\) 3.40603 + 6.74698i 0.201052 + 0.398262i
\(288\) 38.6235 35.8374i 2.27591 2.11174i
\(289\) −16.8714 + 2.08686i −0.992437 + 0.122756i
\(290\) 32.0293 + 25.5426i 1.88083 + 1.49991i
\(291\) 10.5390 28.4034i 0.617804 1.66504i
\(292\) −2.86156 + 7.93897i −0.167460 + 0.464593i
\(293\) 10.6154 + 6.67008i 0.620157 + 0.389670i 0.805151 0.593069i \(-0.202084\pi\)
−0.184995 + 0.982740i \(0.559227\pi\)
\(294\) 4.75094 9.63396i 0.277081 0.561864i
\(295\) −35.2789 11.9756i −2.05402 0.697244i
\(296\) −4.08884 + 3.32376i −0.237659 + 0.193189i
\(297\) −11.4001 39.5707i −0.661502 2.29613i
\(298\) −20.3289 + 40.2692i −1.17762 + 2.33273i
\(299\) 17.0959 + 28.9817i 0.988681 + 1.67606i
\(300\) −78.6702 + 15.6485i −4.54202 + 0.903465i
\(301\) −17.7048 7.44811i −1.02049 0.429302i
\(302\) −1.33159 1.33159i −0.0766243 0.0766243i
\(303\) 49.4359 + 37.2043i 2.84002 + 2.13733i
\(304\) 2.25610 + 6.85621i 0.129396 + 0.393231i
\(305\) −17.1285 + 13.6595i −0.980775 + 0.782142i
\(306\) 52.7345 + 31.3863i 3.01463 + 1.79424i
\(307\) −5.10917 + 8.84934i −0.291596 + 0.505059i −0.974187 0.225741i \(-0.927520\pi\)
0.682591 + 0.730800i \(0.260853\pi\)
\(308\) −16.1188 + 21.0064i −0.918452 + 1.19695i
\(309\) 41.1218 1.15377i 2.33934 0.0656355i
\(310\) 13.7831 10.1724i 0.782825 0.577751i
\(311\) 1.30143 8.11864i 0.0737976 0.460366i −0.923290 0.384103i \(-0.874511\pi\)
0.997088 0.0762629i \(-0.0242988\pi\)
\(312\) 11.8995 23.0338i 0.673679 1.30403i
\(313\) −17.2665 + 0.161446i −0.975960 + 0.00912547i −0.496141 0.868242i \(-0.665250\pi\)
−0.479819 + 0.877367i \(0.659298\pi\)
\(314\) 4.04360 + 10.8979i 0.228193 + 0.615001i
\(315\) 24.0138 72.9769i 1.35302 4.11178i
\(316\) 5.57042 3.87463i 0.313360 0.217965i
\(317\) 16.7883 + 0.471034i 0.942925 + 0.0264559i 0.496193 0.868212i \(-0.334731\pi\)
0.446732 + 0.894668i \(0.352588\pi\)
\(318\) −3.11778 + 3.83545i −0.174836 + 0.215081i
\(319\) 16.4799 3.11816i 0.922695 0.174583i
\(320\) −46.4263 2.17201i −2.59531 0.121419i
\(321\) −35.1529 36.4929i −1.96204 2.03683i
\(322\) −16.4523 34.1635i −0.916849 1.90386i
\(323\) −11.2195 + 7.73895i −0.624269 + 0.430607i
\(324\) −17.3280 44.1511i −0.962669 2.45284i
\(325\) 45.8785 27.6445i 2.54488 1.53344i
\(326\) 5.99485 + 6.10802i 0.332024 + 0.338292i
\(327\) 20.4056 + 10.7847i 1.12843 + 0.596394i
\(328\) −1.34991 3.53638i −0.0745362 0.195264i
\(329\) −14.8487 2.66596i −0.818633 0.146979i
\(330\) −43.0227 + 76.1532i −2.36832 + 4.19209i
\(331\) −31.0661 + 11.5269i −1.70754 + 0.633577i −0.997506 0.0705855i \(-0.977513\pi\)
−0.710039 + 0.704162i \(0.751323\pi\)
\(332\) 7.13595 1.48892i 0.391636 0.0817152i
\(333\) −7.50604 23.5499i −0.411329 1.29053i
\(334\) −20.7492 12.7686i −1.13535 0.698666i
\(335\) −19.5792 41.6483i −1.06973 2.27549i
\(336\) 10.6963 17.0231i 0.583533 0.928687i
\(337\) 10.1142 3.43330i 0.550954 0.187024i −0.0320599 0.999486i \(-0.510207\pi\)
0.583014 + 0.812462i \(0.301873\pi\)
\(338\) −5.25318 + 39.9019i −0.285736 + 2.17038i
\(339\) 6.88689 22.3268i 0.374045 1.21262i
\(340\) −9.97130 40.8910i −0.540770 2.21762i
\(341\) 0.524106 6.99371i 0.0283819 0.378731i
\(342\) 49.1241 + 2.75875i 2.65633 + 0.149176i
\(343\) −3.09732 + 15.5713i −0.167239 + 0.840769i
\(344\) 8.43730 + 4.62091i 0.454908 + 0.249143i
\(345\) −39.8394 59.6238i −2.14488 3.21004i
\(346\) 5.64410 21.8804i 0.303428 1.17630i
\(347\) 11.7562 15.0279i 0.631104 0.806739i −0.360946 0.932587i \(-0.617546\pi\)
0.992050 + 0.125848i \(0.0401650\pi\)
\(348\) 40.2017 11.5819i 2.15504 0.620856i
\(349\) 19.1628 23.1287i 1.02576 1.23805i 0.0548812 0.998493i \(-0.482522\pi\)
0.970883 0.239556i \(-0.0770018\pi\)
\(350\) −54.1364 + 26.6971i −2.89371 + 1.42702i
\(351\) 45.2274 + 51.5720i 2.41406 + 2.75271i
\(352\) −17.7537 + 18.7787i −0.946278 + 1.00091i
\(353\) −12.5378 16.9881i −0.667321 0.904188i 0.331914 0.943310i \(-0.392306\pi\)
−0.999234 + 0.0391222i \(0.987544\pi\)
\(354\) −53.8393 + 38.9629i −2.86153 + 2.07086i
\(355\) 40.1603 + 11.5700i 2.13149 + 0.614071i
\(356\) 27.5269 18.7676i 1.45893 0.994678i
\(357\) 36.5370 + 10.3115i 1.93374 + 0.545740i
\(358\) 1.66536 + 22.2226i 0.0880168 + 1.17450i
\(359\) 0.261055 + 13.9585i 0.0137779 + 0.736704i 0.936387 + 0.350968i \(0.114147\pi\)
−0.922609 + 0.385735i \(0.873948\pi\)
\(360\) −15.7157 + 35.1212i −0.828293 + 1.85105i
\(361\) 3.77201 7.13698i 0.198527 0.375631i
\(362\) −20.7208 0.193745i −1.08906 0.0101830i
\(363\) 0.417453 + 1.15816i 0.0219106 + 0.0607877i
\(364\) 9.41177 43.0888i 0.493311 2.25847i
\(365\) 0.673388 + 11.9908i 0.0352467 + 0.627626i
\(366\) 2.19127 + 39.0192i 0.114540 + 2.03957i
\(367\) 5.80566 26.5794i 0.303053 1.38743i −0.536383 0.843975i \(-0.680210\pi\)
0.839436 0.543459i \(-0.182885\pi\)
\(368\) −4.43131 12.2940i −0.230998 0.640870i
\(369\) 17.7550 + 0.166014i 0.924288 + 0.00864233i
\(370\) −13.8365 + 26.1800i −0.719327 + 1.36103i
\(371\) −0.869751 + 1.94370i −0.0451552 + 0.100912i
\(372\) −0.327119 17.4910i −0.0169603 0.906866i
\(373\) 1.89322 + 25.2632i 0.0980270 + 1.30808i 0.801774 + 0.597628i \(0.203890\pi\)
−0.703747 + 0.710451i \(0.748491\pi\)
\(374\) −26.8164 13.6696i −1.38665 0.706839i
\(375\) −44.8189 + 30.5570i −2.31444 + 1.57796i
\(376\) 7.26029 + 2.09165i 0.374421 + 0.107869i
\(377\) −22.6328 + 16.3791i −1.16565 + 0.843568i
\(378\) −45.9020 62.1951i −2.36095 3.19897i
\(379\) −17.3513 + 18.3530i −0.891275 + 0.942732i −0.998674 0.0514842i \(-0.983605\pi\)
0.107399 + 0.994216i \(0.465748\pi\)
\(380\) −22.2495 25.3707i −1.14138 1.30149i
\(381\) 32.9585 16.2533i 1.68851 0.832683i
\(382\) 22.7827 27.4977i 1.16567 1.40690i
\(383\) −10.3101 + 2.97029i −0.526823 + 0.151775i −0.529642 0.848221i \(-0.677674\pi\)
0.00281983 + 0.999996i \(0.499102\pi\)
\(384\) −21.4239 + 27.3862i −1.09329 + 1.39755i
\(385\) −9.41195 + 36.4871i −0.479677 + 1.85956i
\(386\) 11.6065 + 17.3704i 0.590756 + 0.884129i
\(387\) −34.6364 + 28.9225i −1.76067 + 1.47021i
\(388\) −5.03568 + 25.3160i −0.255648 + 1.28523i
\(389\) −7.07523 0.397336i −0.358728 0.0201457i −0.124206 0.992256i \(-0.539638\pi\)
−0.234522 + 0.972111i \(0.575353\pi\)
\(390\) 10.8877 145.286i 0.551318 7.35682i
\(391\) 19.9124 14.5759i 1.00701 0.737135i
\(392\) −0.683152 + 2.21472i −0.0345044 + 0.111860i
\(393\) −0.522889 + 3.97174i −0.0263763 + 0.200348i
\(394\) 22.8931 7.77117i 1.15334 0.391506i
\(395\) 5.13759 8.17643i 0.258500 0.411401i
\(396\) 26.4642 + 56.2940i 1.32988 + 2.82888i
\(397\) −19.3900 11.9321i −0.973154 0.598855i −0.0564426 0.998406i \(-0.517976\pi\)
−0.916711 + 0.399550i \(0.869166\pi\)
\(398\) 3.30961 + 10.3838i 0.165896 + 0.520493i
\(399\) 29.7959 6.21694i 1.49166 0.311236i
\(400\) −19.5036 + 7.23672i −0.975180 + 0.361836i
\(401\) −11.0289 + 19.5219i −0.550757 + 0.974877i 0.446049 + 0.895009i \(0.352831\pi\)
−0.996805 + 0.0798679i \(0.974550\pi\)
\(402\) −80.8020 14.5074i −4.03004 0.723562i
\(403\) 4.16612 + 10.9141i 0.207529 + 0.543669i
\(404\) −46.6060 24.6320i −2.31873 1.22549i
\(405\) −47.2803 48.1728i −2.34938 2.39373i
\(406\) 26.9663 16.2488i 1.33831 0.806412i
\(407\) 4.42910 + 11.2852i 0.219542 + 0.559385i
\(408\) −17.6720 7.01573i −0.874893 0.347331i
\(409\) −16.2786 33.8029i −0.804926 1.67145i −0.739082 0.673616i \(-0.764740\pi\)
−0.0658443 0.997830i \(-0.520974\pi\)
\(410\) −14.7574 15.3199i −0.728817 0.756597i
\(411\) 12.1415 + 0.568028i 0.598896 + 0.0280188i
\(412\) −34.4387 + 6.51616i −1.69668 + 0.321028i
\(413\) −18.0599 + 22.2171i −0.888670 + 1.09323i
\(414\) −89.0464 2.49840i −4.37639 0.122790i
\(415\) 8.51643 5.92380i 0.418055 0.290788i
\(416\) 13.4551 40.8894i 0.659688 2.00477i
\(417\) 13.7231 + 36.9850i 0.672024 + 1.81116i
\(418\) −24.1311 + 0.225632i −1.18029 + 0.0110360i
\(419\) 8.68952 16.8202i 0.424511 0.821721i −0.575481 0.817815i \(-0.695185\pi\)
0.999992 0.00390589i \(-0.00124329\pi\)
\(420\) −14.8773 + 92.8080i −0.725938 + 4.52857i
\(421\) −5.85879 + 4.32398i −0.285540 + 0.210738i −0.727167 0.686461i \(-0.759163\pi\)
0.441627 + 0.897199i \(0.354401\pi\)
\(422\) 4.39754 0.123383i 0.214069 0.00600619i
\(423\) −21.5754 + 28.1176i −1.04903 + 1.36712i
\(424\) 0.533242 0.923601i 0.0258965 0.0448541i
\(425\) −23.4982 31.4795i −1.13983 1.52698i
\(426\) 58.2882 46.4833i 2.82407 2.25212i
\(427\) 5.26262 + 15.9929i 0.254676 + 0.773951i
\(428\) 34.4942 + 25.9596i 1.66734 + 1.25480i
\(429\) −42.1775 42.1775i −2.03635 2.03635i
\(430\) 53.7946 + 5.34360i 2.59420 + 0.257691i
\(431\) 19.2399 3.82706i 0.926755 0.184343i 0.291434 0.956591i \(-0.405868\pi\)
0.635321 + 0.772248i \(0.280868\pi\)
\(432\) −13.5354 22.9458i −0.651222 1.10398i
\(433\) −5.47623 + 10.8478i −0.263171 + 0.521313i −0.985382 0.170360i \(-0.945507\pi\)
0.722211 + 0.691673i \(0.243126\pi\)
\(434\) −3.64447 12.6502i −0.174940 0.607231i
\(435\) 46.2004 37.5556i 2.21514 1.80065i
\(436\) −18.6209 6.32095i −0.891781 0.302719i
\(437\) 8.75059 17.7444i 0.418597 0.848831i
\(438\) 18.1397 + 11.3979i 0.866747 + 0.544613i
\(439\) −1.38565 + 3.84429i −0.0661336 + 0.183478i −0.969337 0.245735i \(-0.920971\pi\)
0.903203 + 0.429213i \(0.141209\pi\)
\(440\) 6.56505 17.6934i 0.312976 0.843499i
\(441\) −8.49986 6.77841i −0.404755 0.322782i
\(442\) 50.1116 + 1.60243i 2.38356 + 0.0762199i
\(443\) 26.4276 24.5212i 1.25561 1.16504i 0.276658 0.960968i \(-0.410773\pi\)
0.978956 0.204071i \(-0.0654174\pi\)
\(444\) 13.6279 + 26.9953i 0.646751 + 1.28114i
\(445\) 25.5994 39.9080i 1.21353 1.89182i
\(446\) −5.18923 8.25862i −0.245717 0.391057i
\(447\) 50.8721 + 41.3531i 2.40617 + 1.95594i
\(448\) −13.9766 + 32.8697i −0.660330 + 1.55295i
\(449\) 24.5672 + 11.5492i 1.15940 + 0.545042i 0.906398 0.422424i \(-0.138821\pi\)
0.253000 + 0.967466i \(0.418583\pi\)
\(450\) −2.65160 + 141.781i −0.124998 + 6.68361i
\(451\) −8.69508 + 0.488305i −0.409435 + 0.0229934i
\(452\) −2.78280 + 19.7115i −0.130892 + 0.927150i
\(453\) −2.30365 + 1.47770i −0.108235 + 0.0694284i
\(454\) −7.37783 + 6.71835i −0.346259 + 0.315308i
\(455\) −11.6690 61.6724i −0.547053 2.89125i
\(456\) −15.1636 + 1.56509i −0.710099 + 0.0732921i
\(457\) −2.25065 13.2464i −0.105281 0.619641i −0.988564 0.150800i \(-0.951815\pi\)
0.883283 0.468840i \(-0.155328\pi\)
\(458\) −8.60547 + 21.9264i −0.402107 + 1.02455i
\(459\) 34.3609 36.7426i 1.60383 1.71500i
\(460\) 41.5561 + 44.7869i 1.93756 + 2.08820i
\(461\) 1.63406 2.49575i 0.0761059 0.116239i −0.796554 0.604568i \(-0.793346\pi\)
0.872660 + 0.488329i \(0.162393\pi\)
\(462\) 43.3670 + 51.3569i 2.01762 + 2.38934i
\(463\) −1.43115 38.2482i −0.0665111 1.77755i −0.490075 0.871680i \(-0.663031\pi\)
0.423564 0.905866i \(-0.360779\pi\)
\(464\) 9.81948 4.61621i 0.455858 0.214302i
\(465\) −10.1687 22.7249i −0.471563 1.05384i
\(466\) 29.1870 + 1.91301i 1.35206 + 0.0886187i
\(467\) 17.7625 13.6296i 0.821949 0.630704i −0.109740 0.993960i \(-0.535002\pi\)
0.931689 + 0.363257i \(0.118335\pi\)
\(468\) −79.7869 66.1060i −3.68815 3.05575i
\(469\) −35.2421 + 2.97264i −1.62733 + 0.137264i
\(470\) 42.1460 5.14821i 1.94405 0.237469i
\(471\) 16.7275 2.36153i 0.770764 0.108814i
\(472\) 10.1396 10.1396i 0.466712 0.466712i
\(473\) 16.0242 15.2665i 0.736792 0.701955i
\(474\) −6.59200 15.9145i −0.302781 0.730977i
\(475\) −28.3757 13.6650i −1.30197 0.626995i
\(476\) −32.1279 3.74742i −1.47258 0.171763i
\(477\) 3.11908 + 3.91120i 0.142813 + 0.179082i
\(478\) −1.72420 18.3870i −0.0788633 0.841000i
\(479\) −4.57458 + 5.21631i −0.209018 + 0.238339i −0.846844 0.531841i \(-0.821500\pi\)
0.637826 + 0.770180i \(0.279834\pi\)
\(480\) −23.7433 + 88.6113i −1.08373 + 4.04453i
\(481\) −14.6740 13.8731i −0.669078 0.632557i
\(482\) 42.8229 2.00343i 1.95053 0.0912536i
\(483\) −53.6099 + 12.7646i −2.43934 + 0.580810i
\(484\) −0.507374 0.918024i −0.0230625 0.0417284i
\(485\) 7.50294 + 35.9593i 0.340691 + 1.63283i
\(486\) −40.7173 + 6.52706i −1.84697 + 0.296073i
\(487\) −6.06026 + 1.68473i −0.274616 + 0.0763423i −0.402413 0.915458i \(-0.631829\pi\)
0.127797 + 0.991800i \(0.459209\pi\)
\(488\) −1.79941 8.23803i −0.0814554 0.372918i
\(489\) 10.5318 6.61755i 0.476263 0.299256i
\(490\) 1.33720 + 12.9556i 0.0604086 + 0.585276i
\(491\) 9.85357 + 2.05595i 0.444685 + 0.0927839i 0.421256 0.906942i \(-0.361589\pi\)
0.0234289 + 0.999726i \(0.492542\pi\)
\(492\) −21.4806 + 3.23768i −0.968420 + 0.145966i
\(493\) 13.5929 + 15.3309i 0.612194 + 0.690469i
\(494\) 36.2165 17.4409i 1.62946 0.784705i
\(495\) 66.0075 + 58.9879i 2.96682 + 2.65131i
\(496\) −0.801781 4.46569i −0.0360010 0.200516i
\(497\) 19.0727 25.8426i 0.855528 1.15920i
\(498\) 0.173025 18.5049i 0.00775344 0.829222i
\(499\) 18.3789 + 34.0011i 0.822751 + 1.52210i 0.852611 + 0.522546i \(0.175018\pi\)
−0.0298601 + 0.999554i \(0.509506\pi\)
\(500\) 33.5838 31.7507i 1.50191 1.41993i
\(501\) −24.5647 + 25.5011i −1.09747 + 1.13930i
\(502\) 44.8745 + 14.7664i 2.00285 + 0.659056i
\(503\) 3.43992 + 21.4590i 0.153379 + 0.956810i 0.940446 + 0.339943i \(0.110408\pi\)
−0.787067 + 0.616867i \(0.788402\pi\)
\(504\) 21.1036 + 20.7126i 0.940028 + 0.922612i
\(505\) −74.7543 6.30545i −3.32652 0.280589i
\(506\) 43.6617 1.63371i 1.94100 0.0726271i
\(507\) 55.0260 + 19.8338i 2.44379 + 0.880851i
\(508\) −25.5350 + 18.1180i −1.13293 + 0.803857i
\(509\) 18.5439 10.7063i 0.821942 0.474548i −0.0291437 0.999575i \(-0.509278\pi\)
0.851086 + 0.525027i \(0.175945\pi\)
\(510\) −106.818 + 2.57838i −4.72996 + 0.114173i
\(511\) 8.81944 + 2.72044i 0.390149 + 0.120345i
\(512\) −11.1858 + 20.2392i −0.494346 + 0.894453i
\(513\) 10.8026 38.8590i 0.476948 1.71567i
\(514\) −4.48921 + 1.57084i −0.198011 + 0.0692869i
\(515\) −41.4739 + 27.7120i −1.82756 + 1.22114i
\(516\) 36.2408 41.6463i 1.59541 1.83338i
\(517\) 9.65757 14.4536i 0.424739 0.635668i
\(518\) 15.1637 + 16.9682i 0.666257 + 0.745542i
\(519\) −29.3167 14.7997i −1.28686 0.649636i
\(520\) 2.64217 + 31.3243i 0.115867 + 1.37366i
\(521\) 2.01572 + 0.208051i 0.0883104 + 0.00911486i 0.146723 0.989178i \(-0.453128\pi\)
−0.0584121 + 0.998293i \(0.518604\pi\)
\(522\) −4.83743 73.8049i −0.211728 3.23035i
\(523\) 7.85328 + 2.10428i 0.343400 + 0.0920137i 0.426397 0.904536i \(-0.359783\pi\)
−0.0829972 + 0.996550i \(0.526449\pi\)
\(524\) −0.0957259 3.41180i −0.00418181 0.149045i
\(525\) 21.1166 + 85.1460i 0.921602 + 3.71608i
\(526\) 27.0355 29.1374i 1.17880 1.27045i
\(527\) 7.66327 3.83101i 0.333817 0.166881i
\(528\) 13.0498 + 19.1406i 0.567921 + 0.832987i
\(529\) −5.34594 + 11.6535i −0.232432 + 0.506674i
\(530\) 0.726678 5.94897i 0.0315649 0.258407i
\(531\) 26.8980 + 61.6510i 1.16728 + 2.67542i
\(532\) −24.2279 + 9.24827i −1.05041 + 0.400964i
\(533\) 12.7613 6.89797i 0.552755 0.298784i
\(534\) −31.6342 78.4380i −1.36894 3.39435i
\(535\) 59.6315 + 14.7889i 2.57810 + 0.639379i
\(536\) 17.7099 + 0.331214i 0.764953 + 0.0143063i
\(537\) 32.0696 + 4.52747i 1.38390 + 0.195375i
\(538\) 4.47819 3.37018i 0.193068 0.145299i
\(539\) 4.37749 + 3.04487i 0.188552 + 0.131152i
\(540\) 100.212 + 73.9598i 4.31243 + 3.18272i
\(541\) 21.7202 21.3178i 0.933824 0.916523i −0.0628494 0.998023i \(-0.520019\pi\)
0.996673 + 0.0815003i \(0.0259712\pi\)
\(542\) 21.9974 18.2256i 0.944869 0.782855i
\(543\) −6.70138 + 29.3607i −0.287584 + 1.25999i
\(544\) −30.8156 6.85752i −1.32121 0.294014i
\(545\) −27.9068 + 2.09133i −1.19540 + 0.0895826i
\(546\) −101.768 46.6853i −4.35528 1.99795i
\(547\) −23.7917 + 10.1165i −1.01726 + 0.432550i −0.834736 0.550651i \(-0.814379\pi\)
−0.182525 + 0.983201i \(0.558427\pi\)
\(548\) −10.2908 + 1.15950i −0.439603 + 0.0495313i
\(549\) 39.0551 + 6.26060i 1.66683 + 0.267196i
\(550\) −3.25037 69.4762i −0.138596 2.96248i
\(551\) 15.3470 + 5.85824i 0.653803 + 0.249570i
\(552\) 27.3640 3.60254i 1.16469 0.153334i
\(553\) −4.51767 5.88755i −0.192111 0.250364i
\(554\) −6.87280 8.45483i −0.291997 0.359211i
\(555\) 32.8808 + 27.7653i 1.39571 + 1.17857i
\(556\) −16.5325 29.2636i −0.701133 1.24105i
\(557\) −4.46797 12.7687i −0.189314 0.541028i 0.809632 0.586938i \(-0.199667\pi\)
−0.998946 + 0.0459104i \(0.985381\pi\)
\(558\) −30.3334 6.03370i −1.28412 0.255427i
\(559\) −13.3368 + 34.3692i −0.564087 + 1.45366i
\(560\) 24.3771i 1.03012i
\(561\) −27.7257 + 33.8362i −1.17058 + 1.42857i
\(562\) −3.94767 0.295837i −0.166522 0.0124791i
\(563\) 35.3416 + 19.5326i 1.48947 + 0.823202i 0.998839 0.0481646i \(-0.0153372\pi\)
0.490633 + 0.871367i \(0.336766\pi\)
\(564\) 20.6186 38.1447i 0.868201 1.60618i
\(565\) 7.33236 + 27.3648i 0.308475 + 1.15124i
\(566\) 1.18499 + 0.584374i 0.0498090 + 0.0245631i
\(567\) −47.3487 + 21.1872i −1.98846 + 0.889778i
\(568\) −10.8306 + 11.8937i −0.454440 + 0.499048i
\(569\) 28.5864 13.1138i 1.19840 0.549757i 0.285677 0.958326i \(-0.407782\pi\)
0.912727 + 0.408569i \(0.133972\pi\)
\(570\) −74.9765 + 41.4381i −3.14042 + 1.73565i
\(571\) 0.0668404 + 7.14852i 0.00279719 + 0.299156i 0.990104 + 0.140333i \(0.0448175\pi\)
−0.987307 + 0.158823i \(0.949230\pi\)
\(572\) 41.1703 + 29.7945i 1.72142 + 1.24577i
\(573\) −31.9772 40.8764i −1.33587 1.70763i
\(574\) −14.9833 + 6.53716i −0.625392 + 0.272856i
\(575\) 52.0492 + 23.2905i 2.17060 + 0.971281i
\(576\) 53.5353 + 64.6146i 2.23064 + 2.69228i
\(577\) −18.1809 12.3955i −0.756881 0.516033i 0.122316 0.992491i \(-0.460968\pi\)
−0.879197 + 0.476458i \(0.841920\pi\)
\(578\) −2.46052 36.6873i −0.102344 1.52599i
\(579\) 28.2632 11.0925i 1.17458 0.460987i
\(580\) −33.8022 + 37.8246i −1.40356 + 1.57058i
\(581\) −1.99134 7.71980i −0.0826149 0.320271i
\(582\) 60.0597 + 26.2038i 2.48955 + 1.08618i
\(583\) −1.65202 1.81419i −0.0684198 0.0751359i
\(584\) −4.25383 1.80877i −0.176025 0.0748476i
\(585\) −141.306 42.1442i −5.84226 1.74245i
\(586\) −15.6916 + 22.1152i −0.648214 + 0.913572i
\(587\) −2.17100 2.09128i −0.0896067 0.0863165i 0.647614 0.761969i \(-0.275767\pi\)
−0.737221 + 0.675652i \(0.763862\pi\)
\(588\) 11.5807 + 6.54249i 0.477578 + 0.269808i
\(589\) 4.02708 5.56466i 0.165933 0.229288i
\(590\) 30.1400 74.7332i 1.24084 3.07672i
\(591\) −3.93400 34.9152i −0.161823 1.43622i
\(592\) 4.59802 + 6.35358i 0.188977 + 0.261130i
\(593\) 21.3870 5.30407i 0.878259 0.217812i 0.224463 0.974483i \(-0.427937\pi\)
0.653796 + 0.756671i \(0.273175\pi\)
\(594\) 86.8365 19.8199i 3.56294 0.813218i
\(595\) −44.1630 + 12.9834i −1.81051 + 0.532269i
\(596\) −48.3737 27.9285i −1.98146 1.14400i
\(597\) 15.7700 1.47880i 0.645423 0.0605234i
\(598\) −64.6601 + 33.4042i −2.64415 + 1.36600i
\(599\) −25.1413 29.2148i −1.02725 1.19368i −0.980851 0.194760i \(-0.937607\pi\)
−0.0463961 0.998923i \(-0.514774\pi\)
\(600\) −6.14178 43.5043i −0.250737 1.77605i
\(601\) 4.60171 + 23.1344i 0.187708 + 0.943671i 0.953686 + 0.300804i \(0.0972551\pi\)
−0.765978 + 0.642867i \(0.777745\pi\)
\(602\) 18.2315 37.3307i 0.743062 1.52149i
\(603\) −31.7963 + 76.7630i −1.29484 + 3.12603i
\(604\) 1.73870 1.55380i 0.0707468 0.0632232i
\(605\) −1.17571 0.919743i −0.0477993 0.0373929i
\(606\) −86.3390 + 102.246i −3.50728 + 4.15346i
\(607\) 8.36262 + 28.0391i 0.339428 + 1.13807i 0.940760 + 0.339072i \(0.110113\pi\)
−0.601332 + 0.798999i \(0.705363\pi\)
\(608\) −24.4482 + 6.55088i −0.991506 + 0.265673i
\(609\) −14.7078 43.3277i −0.595989 1.75573i
\(610\) −27.4208 38.6460i −1.11023 1.56473i
\(611\) −4.31558 + 28.6320i −0.174590 + 1.15833i
\(612\) −42.4644 + 63.0168i −1.71652 + 2.54730i
\(613\) −2.38679 + 2.99294i −0.0964014 + 0.120884i −0.827692 0.561182i \(-0.810347\pi\)
0.731291 + 0.682066i \(0.238918\pi\)
\(614\) −18.4907 12.1066i −0.746226 0.488582i
\(615\) −26.3290 + 16.2022i −1.06169 + 0.653337i
\(616\) −10.9931 9.46030i −0.442923 0.381166i
\(617\) −10.2076 + 2.22962i −0.410944 + 0.0897613i −0.414095 0.910234i \(-0.635902\pi\)
0.00315083 + 0.999995i \(0.498997\pi\)
\(618\) −2.49551 + 88.9434i −0.100384 + 3.57783i
\(619\) 1.51587 5.08256i 0.0609278 0.204285i −0.922364 0.386322i \(-0.873745\pi\)
0.983292 + 0.182037i \(0.0582691\pi\)
\(620\) 11.6192 + 17.7463i 0.466638 + 0.712710i
\(621\) −17.5777 + 70.8767i −0.705370 + 2.84418i
\(622\) 17.3746 + 3.79508i 0.696657 + 0.152169i
\(623\) −21.9101 29.1135i −0.877811 1.16641i
\(624\) −33.2362 19.6055i −1.33051 0.784849i
\(625\) 7.25199 16.6217i 0.290080 0.664869i
\(626\) 1.74537 37.3070i 0.0697590 1.49109i
\(627\) −7.16357 + 34.3328i −0.286085 + 1.37112i
\(628\) −13.7538 + 4.24249i −0.548837 + 0.169294i
\(629\) −9.06157 + 11.7140i −0.361308 + 0.467067i
\(630\) 154.683 + 60.7087i 6.16272 + 2.41869i
\(631\) −19.5236 + 9.85596i −0.777222 + 0.392360i −0.794324 0.607494i \(-0.792175\pi\)
0.0171026 + 0.999854i \(0.494556\pi\)
\(632\) 1.94790 + 3.16539i 0.0774834 + 0.125912i
\(633\) 1.18865 6.28216i 0.0472446 0.249694i
\(634\) −3.05323 + 36.1976i −0.121259 + 1.43759i
\(635\) −23.3523 + 37.9480i −0.926708 + 1.50592i
\(636\) −4.52532 4.12082i −0.179440 0.163401i
\(637\) −8.75663 1.48781i −0.346950 0.0589492i
\(638\) 4.73512 + 35.9668i 0.187465 + 1.42394i
\(639\) −33.3732 67.6742i −1.32022 2.67715i
\(640\) 4.32847 41.9368i 0.171098 1.65770i
\(641\) 6.16515 19.3429i 0.243509 0.764000i −0.751090 0.660200i \(-0.770471\pi\)
0.994598 0.103800i \(-0.0331000\pi\)
\(642\) 83.0704 71.4879i 3.27853 2.82140i
\(643\) 16.2832 21.6365i 0.642145 0.853262i −0.354504 0.935054i \(-0.615350\pi\)
0.996649 + 0.0817929i \(0.0260646\pi\)
\(644\) 43.3788 17.9681i 1.70936 0.708041i
\(645\) 24.2708 74.7236i 0.955663 2.94224i
\(646\) −15.3518 25.1673i −0.604008 0.990194i
\(647\) −4.29265 + 8.91378i −0.168761 + 0.350437i −0.968147 0.250381i \(-0.919444\pi\)
0.799386 + 0.600818i \(0.205158\pi\)
\(648\) 24.6778 8.12048i 0.969437 0.319003i
\(649\) −15.1423 29.3107i −0.594386 1.15055i
\(650\) 54.1350 + 102.428i 2.12335 + 4.01757i
\(651\) −19.0919 + 1.25135i −0.748270 + 0.0490442i
\(652\) −7.96760 + 6.98740i −0.312035 + 0.273648i
\(653\) −13.0898 + 34.2916i −0.512243 + 1.34194i 0.393973 + 0.919122i \(0.371100\pi\)
−0.906217 + 0.422813i \(0.861043\pi\)
\(654\) −25.7645 + 42.7585i −1.00747 + 1.67199i
\(655\) −2.02532 4.41495i −0.0791357 0.172506i
\(656\) −5.36787 + 1.71090i −0.209580 + 0.0667992i
\(657\) 15.1879 15.4746i 0.592537 0.603723i
\(658\) 7.55800 31.7427i 0.294641 1.23746i
\(659\) 29.8186 34.6498i 1.16157 1.34977i 0.235741 0.971816i \(-0.424248\pi\)
0.925826 0.377949i \(-0.123371\pi\)
\(660\) −91.1615 58.4765i −3.54846 2.27620i
\(661\) −38.0923 + 6.47214i −1.48162 + 0.251737i −0.851333 0.524626i \(-0.824205\pi\)
−0.630286 + 0.776363i \(0.717062\pi\)
\(662\) −21.1251 68.4858i −0.821050 2.66178i
\(663\) 17.8167 70.6546i 0.691942 2.74400i
\(664\) 0.595108 + 3.94828i 0.0230947 + 0.153223i
\(665\) −26.5799 + 25.6039i −1.03072 + 0.992877i
\(666\) 51.7670 13.3534i 2.00593 0.517435i
\(667\) −28.0729 9.82313i −1.08699 0.380353i
\(668\) 17.2265 24.7659i 0.666512 0.958221i
\(669\) −13.3355 + 4.80670i −0.515579 + 0.185838i
\(670\) 92.3150 37.2308i 3.56644 1.43835i
\(671\) −19.3154 1.81127i −0.745662 0.0699231i
\(672\) 57.4973 + 40.7965i 2.21801 + 1.57376i
\(673\) 17.5088 + 25.1718i 0.674916 + 0.970303i 0.999699 + 0.0245143i \(0.00780393\pi\)
−0.324783 + 0.945789i \(0.605291\pi\)
\(674\) 6.18768 + 22.2582i 0.238340 + 0.857352i
\(675\) 113.083 + 26.9252i 4.35256 + 1.03635i
\(676\) −48.9662 9.26490i −1.88332 0.356342i
\(677\) −38.9529 + 32.8928i −1.49708 + 1.26417i −0.619261 + 0.785185i \(0.712568\pi\)
−0.877822 + 0.478988i \(0.841004\pi\)
\(678\) 47.3800 + 17.5801i 1.81962 + 0.675160i
\(679\) 27.9147 + 4.20747i 1.07127 + 0.161468i
\(680\) 22.6690 4.19731i 0.869315 0.160959i
\(681\) 7.25100 + 12.5591i 0.277859 + 0.481266i
\(682\) 15.0395 + 1.97999i 0.575893 + 0.0758177i
\(683\) 10.3170 + 5.57672i 0.394769 + 0.213387i 0.660775 0.750584i \(-0.270228\pi\)
−0.266006 + 0.963971i \(0.585704\pi\)
\(684\) −6.82132 + 60.5409i −0.260820 + 2.31484i
\(685\) −12.8317 + 7.24925i −0.490273 + 0.276980i
\(686\) −33.2509 8.57715i −1.26952 0.327477i
\(687\) 28.4636 + 19.0188i 1.08595 + 0.725611i
\(688\) 7.57101 12.1526i 0.288642 0.463312i
\(689\) 3.77599 + 1.56407i 0.143854 + 0.0595861i
\(690\) 133.591 78.8031i 5.08571 2.99998i
\(691\) −1.92285 15.7414i −0.0731485 0.598832i −0.982961 0.183813i \(-0.941156\pi\)
0.909813 0.415019i \(-0.136225\pi\)
\(692\) 26.6589 + 8.49697i 1.01342 + 0.323006i
\(693\) 60.1476 31.7889i 2.28482 1.20756i
\(694\) 31.0273 + 27.2102i 1.17778 + 1.03289i
\(695\) −37.9479 29.1184i −1.43944 1.10452i
\(696\) 5.09930 + 22.3415i 0.193288 + 0.846852i
\(697\) −5.95852 8.81351i −0.225695 0.333836i
\(698\) 47.6229 + 44.1876i 1.80255 + 1.67252i
\(699\) 11.7682 40.8482i 0.445113 1.54502i
\(700\) −29.2471 68.7827i −1.10544 2.59974i
\(701\) −0.246492 + 6.58763i −0.00930987 + 0.248811i 0.986872 + 0.161506i \(0.0516351\pi\)
−0.996182 + 0.0873054i \(0.972174\pi\)
\(702\) −116.856 + 91.4152i −4.41044 + 3.45024i
\(703\) −2.09828 + 11.6868i −0.0791380 + 0.440776i
\(704\) −28.2743 29.9067i −1.06563 1.12715i
\(705\) 5.76125 61.4381i 0.216981 2.31389i
\(706\) 38.2068 25.0155i 1.43793 0.941469i
\(707\) −24.5279 + 52.1752i −0.922468 + 1.96225i
\(708\) −44.4321 69.2670i −1.66986 2.60321i
\(709\) −8.53232 + 14.4644i −0.320438 + 0.543221i −0.977585 0.210541i \(-0.932477\pi\)
0.657147 + 0.753762i \(0.271763\pi\)
\(710\) −29.8562 + 85.3240i −1.12048 + 3.20215i
\(711\) −17.1598 + 3.08092i −0.643544 + 0.115543i
\(712\) 9.41830 + 15.6305i 0.352966 + 0.585778i
\(713\) −7.00577 + 10.2756i −0.262368 + 0.384823i
\(714\) −26.6989 + 77.6519i −0.999181 + 2.90605i
\(715\) 70.5105 + 16.0936i 2.63694 + 0.601865i
\(716\) −27.5896 + 0.515984i −1.03107 + 0.0192832i
\(717\) −26.6417 3.25433i −0.994953 0.121535i
\(718\) −30.1755 1.12909i −1.12614 0.0421371i
\(719\) −20.1214 8.11499i −0.750401 0.302638i −0.0331482 0.999450i \(-0.510553\pi\)
−0.717253 + 0.696813i \(0.754601\pi\)
\(720\) 50.8802 + 26.2853i 1.89619 + 0.979596i
\(721\) 8.87898 + 37.2907i 0.330671 + 1.38878i
\(722\) 14.9550 + 9.01128i 0.556569 + 0.335365i
\(723\) 10.4364 61.4240i 0.388132 2.28438i
\(724\) 1.67816 25.6038i 0.0623685 0.951559i
\(725\) −15.2186 + 44.8325i −0.565204 + 1.66504i
\(726\) −2.55170 + 0.761042i −0.0947026 + 0.0282449i
\(727\) −33.7165 3.79894i −1.25048 0.140895i −0.538214 0.842808i \(-0.680901\pi\)
−0.712263 + 0.701913i \(0.752329\pi\)
\(728\) 23.2757 + 6.47054i 0.862653 + 0.239814i
\(729\) −0.381493 + 6.79312i −0.0141294 + 0.251597i
\(730\) −25.9760 −0.961417
\(731\) 26.0486 + 7.24353i 0.963443 + 0.267912i
\(732\) −48.3918 −1.78861
\(733\) −0.993942 + 17.6988i −0.0367121 + 0.653719i 0.925052 + 0.379840i \(0.124021\pi\)
−0.961764 + 0.273879i \(0.911693\pi\)
\(734\) 56.6947 + 15.7609i 2.09264 + 0.581746i
\(735\) 18.8099 + 2.11937i 0.693815 + 0.0781741i
\(736\) 43.9145 13.0974i 1.61871 0.482778i
\(737\) 13.0995 38.5897i 0.482525 1.42147i
\(738\) −2.51177 + 38.3222i −0.0924595 + 1.41066i
\(739\) 0.325756 1.91726i 0.0119831 0.0705276i −0.979249 0.202663i \(-0.935040\pi\)
0.991232 + 0.132135i \(0.0421833\pi\)
\(740\) −31.4058 18.9238i −1.15450 0.695654i
\(741\) −13.5317 56.8315i −0.497099 2.08776i
\(742\) −4.09199 2.11397i −0.150222 0.0776064i
\(743\) −1.18034 0.476034i −0.0433026 0.0174640i 0.352275 0.935896i \(-0.385408\pi\)
−0.395578 + 0.918432i \(0.629456\pi\)
\(744\) 9.57564 + 0.358295i 0.351060 + 0.0131357i
\(745\) −78.9052 9.63841i −2.89086 0.353124i
\(746\) −54.7861 + 1.02462i −2.00586 + 0.0375139i
\(747\) −18.2601 4.16774i −0.668100 0.152490i
\(748\) 18.7617 32.2042i 0.685995 1.17750i
\(749\) 26.5974 39.0112i 0.971846 1.42544i
\(750\) −60.5531 100.493i −2.21109 3.66950i
\(751\) −42.0146 + 7.54340i −1.53313 + 0.275262i −0.877411 0.479739i \(-0.840731\pi\)
−0.655723 + 0.755002i \(0.727636\pi\)
\(752\) 3.71420 10.6146i 0.135443 0.387073i
\(753\) 34.8835 59.1361i 1.27122 2.15504i
\(754\) −32.6263 50.8625i −1.18818 1.85230i
\(755\) 1.41181 3.00317i 0.0513811 0.109297i
\(756\) 80.0790 52.4308i 2.91245 1.90689i
\(757\) −0.738439 + 7.87473i −0.0268390 + 0.286212i 0.971874 + 0.235500i \(0.0756728\pi\)
−0.998713 + 0.0507118i \(0.983851\pi\)
\(758\) −37.5295 39.6963i −1.36313 1.44183i
\(759\) 11.2215 62.5004i 0.407313 2.26862i
\(760\) 14.5582 11.3888i 0.528083 0.413114i
\(761\) 0.0414158 1.10686i 0.00150132 0.0401237i −0.998349 0.0574455i \(-0.981704\pi\)
0.999850 + 0.0173218i \(0.00551398\pi\)
\(762\) 31.1024 + 73.1458i 1.12672 + 2.64979i
\(763\) −5.95380 + 20.6661i −0.215542 + 0.748163i
\(764\) 32.4137 + 30.0756i 1.17269 + 1.08810i
\(765\) −20.5208 + 106.177i −0.741933 + 3.83884i
\(766\) −5.16405 22.6252i −0.186585 0.817481i
\(767\) 43.5976 + 33.4536i 1.57422 + 1.20794i
\(768\) 1.09503 + 0.960317i 0.0395135 + 0.0346524i
\(769\) −1.54008 + 0.813956i −0.0555367 + 0.0293520i −0.494806 0.869003i \(-0.664761\pi\)
0.439270 + 0.898355i \(0.355237\pi\)
\(770\) −77.6534 24.7504i −2.79843 0.891941i
\(771\) 0.838113 + 6.86124i 0.0301839 + 0.247101i
\(772\) −22.2809 + 13.1432i −0.801908 + 0.473033i
\(773\) 30.5016 + 12.6342i 1.09707 + 0.454419i 0.856465 0.516205i \(-0.172656\pi\)
0.240600 + 0.970624i \(0.422656\pi\)
\(774\) −58.2583 78.3058i −2.09405 2.81465i
\(775\) 16.4609 + 10.9988i 0.591292 + 0.395089i
\(776\) −13.6903 3.53146i −0.491455 0.126772i
\(777\) 28.7954 16.2680i 1.03303 0.583610i
\(778\) 1.71611 15.2309i 0.0615257 0.546055i
\(779\) −7.50350 4.05592i −0.268841 0.145318i
\(780\) 178.861 + 23.5476i 6.40427 + 0.843138i
\(781\) 18.5046 + 32.0509i 0.662147 + 1.14687i
\(782\) 29.0621 + 44.7690i 1.03926 + 1.60094i
\(783\) −59.9536 9.03655i −2.14257 0.322940i
\(784\) 3.23416 + 1.20002i 0.115506 + 0.0428579i
\(785\) −15.6501 + 13.2153i −0.558576 + 0.471676i
\(786\) −8.51365 1.61087i −0.303672 0.0574578i
\(787\) −40.8773 9.73297i −1.45712 0.346943i −0.575072 0.818103i \(-0.695026\pi\)
−0.882048 + 0.471160i \(0.843836\pi\)
\(788\) 8.01808 + 28.8424i 0.285632 + 1.02747i
\(789\) −32.9864 47.4233i −1.17435 1.68831i
\(790\) 17.0341 + 12.0864i 0.606047 + 0.430013i
\(791\) 21.6767 + 2.03269i 0.770734 + 0.0722742i
\(792\) −31.5992 + 12.7440i −1.12283 + 0.452838i
\(793\) 30.4005 10.9577i 1.07955 0.389120i
\(794\) 28.1192 40.4260i 0.997914 1.43466i
\(795\) −8.22135 2.87678i −0.291581 0.102029i
\(796\) −13.0673 + 3.37075i −0.463159 + 0.119473i
\(797\) 6.36949 6.13562i 0.225619 0.217335i −0.572388 0.819983i \(-0.693983\pi\)
0.798007 + 0.602648i \(0.205888\pi\)
\(798\) 9.81210 + 65.0990i 0.347344 + 2.30448i
\(799\) 21.2081 + 1.07546i 0.750290 + 0.0380470i
\(800\) −21.5020 69.7079i −0.760212 2.46455i
\(801\) −84.3911 + 14.3386i −2.98181 + 0.506630i
\(802\) −40.8204 26.1847i −1.44142 0.924614i
\(803\) −6.93695 + 8.06089i −0.244800 + 0.284463i
\(804\) 23.5456 98.8887i 0.830389 3.48754i
\(805\) 46.8049 47.6884i 1.64966 1.68080i
\(806\) −24.0744 + 7.67322i −0.847986 + 0.270278i
\(807\) −3.39635 7.40363i −0.119557 0.260620i
\(808\) 14.9023 24.7317i 0.524260 0.870057i
\(809\) −14.9615 + 39.1950i −0.526018 + 1.37802i 0.367931 + 0.929853i \(0.380066\pi\)
−0.893949 + 0.448168i \(0.852077\pi\)
\(810\) 109.764 96.2607i 3.85673 3.38226i
\(811\) −3.40076 + 0.222898i −0.119417 + 0.00782700i −0.124994 0.992157i \(-0.539891\pi\)
0.00557747 + 0.999984i \(0.498225\pi\)
\(812\) 18.2162 + 34.4667i 0.639262 + 1.20954i
\(813\) −19.0556 36.8857i −0.668309 1.29364i
\(814\) −24.9077 + 8.19613i −0.873015 + 0.287274i
\(815\) −6.54363 + 13.5880i −0.229213 + 0.475966i
\(816\) −11.9005 + 25.6758i −0.416601 + 0.898834i
\(817\) 21.2027 4.50901i 0.741788 0.157750i
\(818\) 74.9724 31.0546i 2.62135 1.08580i
\(819\) −68.1417 + 90.5445i −2.38106 + 3.16388i
\(820\) 19.9647 17.1810i 0.697198 0.599987i
\(821\) −9.15194 + 28.7139i −0.319405 + 1.00212i 0.650679 + 0.759353i \(0.274484\pi\)
−0.970084 + 0.242769i \(0.921944\pi\)
\(822\) −2.69915 + 26.1510i −0.0941436 + 0.912120i
\(823\) 7.13143 + 14.4611i 0.248586 + 0.504082i 0.985023 0.172424i \(-0.0551599\pi\)
−0.736437 + 0.676506i \(0.763493\pi\)
\(824\) −2.50590 19.0342i −0.0872972 0.663088i
\(825\) −99.6548 16.9320i −3.46953 0.589497i
\(826\) −45.7880 41.6952i −1.59317 1.45076i
\(827\) 19.0591 30.9715i 0.662750 1.07698i −0.328439 0.944525i \(-0.606523\pi\)
0.991189 0.132458i \(-0.0422870\pi\)
\(828\) 9.27123 109.915i 0.322197 3.81981i
\(829\) −6.61280 + 34.9495i −0.229672 + 1.21385i 0.657875 + 0.753127i \(0.271456\pi\)
−0.887547 + 0.460718i \(0.847592\pi\)
\(830\) 11.7597 + 19.1099i 0.408187 + 0.663313i
\(831\) −14.1362 + 7.13629i −0.490380 + 0.247555i
\(832\) 63.8159 + 25.0459i 2.21242 + 0.868310i
\(833\) −0.451490 + 6.49833i −0.0156432 + 0.225154i
\(834\) −81.5343 + 25.1500i −2.82330 + 0.870874i
\(835\) 8.76908 42.0276i 0.303467 1.45442i
\(836\) 1.39646 29.8491i 0.0482975 1.03235i
\(837\) −10.1384 + 23.2374i −0.350433 + 0.803201i
\(838\) 35.2698 + 20.8051i 1.21838 + 0.718701i
\(839\) 1.31850 + 1.75198i 0.0455196 + 0.0604850i 0.821198 0.570644i \(-0.193306\pi\)
−0.775678 + 0.631129i \(0.782592\pi\)
\(840\) −50.2986 10.9866i −1.73546 0.379073i
\(841\) −1.03643 + 4.17907i −0.0357388 + 0.144106i
\(842\) −8.62722 13.1766i −0.297314 0.454096i
\(843\) −1.64436 + 5.51340i −0.0566349 + 0.189892i
\(844\) −0.152779 + 5.44526i −0.00525888 + 0.187434i
\(845\) −69.2878 + 15.1343i −2.38357 + 0.520637i
\(846\) −58.1040 50.0025i −1.99766 1.71912i
\(847\) −0.976993 + 0.601218i −0.0335699 + 0.0206581i
\(848\) −1.32801 0.869499i −0.0456041 0.0298587i
\(849\) 1.19724 1.50129i 0.0410892 0.0515242i
\(850\) 70.8305 46.9272i 2.42947 1.60959i
\(851\) 3.20408 21.2577i 0.109834 0.728704i
\(852\) 53.4206 + 75.2893i 1.83016 + 2.57937i
\(853\) −8.09378 23.8435i −0.277126 0.816386i −0.992996 0.118152i \(-0.962303\pi\)
0.715870 0.698234i \(-0.246030\pi\)
\(854\) −35.1753 + 9.42519i −1.20367 + 0.322523i
\(855\) 24.7802 + 83.0858i 0.847466 + 2.84147i
\(856\) −15.2563 + 18.0672i −0.521451 + 0.617523i
\(857\) 1.35131 + 1.05711i 0.0461598 + 0.0361103i 0.638968 0.769233i \(-0.279362\pi\)
−0.592808 + 0.805344i \(0.701981\pi\)
\(858\) 96.1984 85.9681i 3.28416 2.93490i
\(859\) −12.7612 + 30.8083i −0.435407 + 1.05116i 0.542110 + 0.840307i \(0.317626\pi\)
−0.977517 + 0.210857i \(0.932374\pi\)
\(860\) −10.3412 + 66.1355i −0.352634 + 2.25520i
\(861\) 4.63499 + 23.3017i 0.157960 + 0.794119i
\(862\) 5.93128 + 42.0132i 0.202020 + 1.43098i
\(863\) −9.38758 10.9086i −0.319557 0.371332i 0.575102 0.818082i \(-0.304962\pi\)
−0.894659 + 0.446750i \(0.852581\pi\)
\(864\) 82.9980 42.8778i 2.82365 1.45873i
\(865\) 39.6455 3.71769i 1.34799 0.126405i
\(866\) −22.7620 13.1416i −0.773483 0.446571i
\(867\) −52.8541 7.88448i −1.79502 0.267771i
\(868\) 15.8926 3.62738i 0.539430 0.123121i
\(869\) 8.29963 2.05834i 0.281546 0.0698246i
\(870\) 75.4992 + 104.325i 2.55966 + 3.53696i
\(871\) 7.60037 + 67.4552i 0.257529 + 2.28563i
\(872\) 4.02874 9.98940i 0.136430 0.338284i
\(873\) 38.8817 53.7270i 1.31594 1.81838i
\(874\) 37.2583 + 21.0491i 1.26028 + 0.711996i
\(875\) −36.4035 35.0669i −1.23066 1.18548i
\(876\) −15.3507 + 21.6348i −0.518653 + 0.730973i
\(877\) 15.5268 + 4.63084i 0.524302 + 0.156372i 0.537056 0.843546i \(-0.319536\pi\)
−0.0127545 + 0.999919i \(0.504060\pi\)
\(878\) −8.13379 3.45857i −0.274502 0.116721i
\(879\) 26.5341 + 29.1386i 0.894971 + 0.982822i
\(880\) −25.7453 11.2325i −0.867873 0.378649i
\(881\) 5.44934 + 21.1253i 0.183593 + 0.711730i 0.992336 + 0.123569i \(0.0394339\pi\)
−0.808743 + 0.588162i \(0.799852\pi\)
\(882\) 15.6690 17.5336i 0.527602 0.590387i
\(883\) −17.2102 + 6.75450i −0.579169 + 0.227307i −0.636798 0.771031i \(-0.719741\pi\)
0.0576286 + 0.998338i \(0.481646\pi\)
\(884\) −5.46031 + 61.8419i −0.183650 + 2.07997i
\(885\) −96.7634 65.9722i −3.25267 2.21763i
\(886\) 49.7492 + 60.0449i 1.67136 + 2.01725i
\(887\) 41.6990 + 18.6591i 1.40012 + 0.626511i 0.962160 0.272485i \(-0.0878456\pi\)
0.437955 + 0.898997i \(0.355703\pi\)
\(888\) −15.1819 + 6.62381i −0.509472 + 0.222281i
\(889\) 21.0987 + 26.9705i 0.707629 + 0.904561i
\(890\) 83.0776 + 60.1224i 2.78477 + 2.01531i
\(891\) −0.558852 59.7687i −0.0187223 2.00233i
\(892\) 10.5705 5.84209i 0.353925 0.195607i
\(893\) 15.4748 7.09892i 0.517844 0.237556i
\(894\) −95.4727 + 104.844i −3.19308 + 3.50652i
\(895\) −35.8453 + 16.0397i −1.19818 + 0.536149i
\(896\) −29.0585 14.3301i −0.970777 0.478734i
\(897\) 27.3759 + 102.168i 0.914055 + 3.41130i
\(898\) −27.9203 + 51.6528i −0.931711 + 1.72368i
\(899\) −9.03750 4.99485i −0.301417 0.166587i
\(900\) −175.100 13.1219i −5.83667 0.437398i
\(901\) 0.867926 2.86900i 0.0289148 0.0955803i
\(902\) 18.8364i 0.627185i
\(903\) −47.3502 37.4639i −1.57572 1.24672i
\(904\) −10.6945 2.12726i −0.355693 0.0707517i
\(905\) −12.0604 34.4665i −0.400900 1.14571i
\(906\) −2.91175 5.15399i −0.0967364 0.171230i
\(907\) −27.7057 23.3954i −0.919953 0.776831i 0.0551744 0.998477i \(-0.482429\pi\)
−0.975127 + 0.221646i \(0.928857\pi\)
\(908\) −7.79370 9.58770i −0.258643 0.318179i
\(909\) 82.4525 + 107.454i 2.73478 + 3.56403i
\(910\) 134.598 17.7202i 4.46188 0.587418i
\(911\) 50.8994 + 19.4293i 1.68637 + 0.643722i 0.996758 0.0804553i \(-0.0256374\pi\)
0.689614 + 0.724177i \(0.257780\pi\)
\(912\) 1.06033 + 22.6643i 0.0351110 + 0.750491i
\(913\) 9.07064 + 1.45404i 0.300194 + 0.0481217i
\(914\) 28.8789 3.25387i 0.955228 0.107628i
\(915\) −63.3761 + 26.9482i −2.09515 + 0.890880i
\(916\) −26.5102 12.1613i −0.875923 0.401822i
\(917\) −3.72244 + 0.278958i −0.122926 + 0.00921202i
\(918\) 75.1793 + 78.6592i 2.48129 + 2.59614i
\(919\) 4.41761 19.3548i 0.145723 0.638456i −0.848321 0.529482i \(-0.822386\pi\)
0.994045 0.108974i \(-0.0347566\pi\)
\(920\) −25.7696 + 21.3510i −0.849599 + 0.703921i
\(921\) −22.9244 + 22.4996i −0.755383 + 0.741388i
\(922\) 5.19146 + 3.83147i 0.170972 + 0.126183i
\(923\) −50.6080 35.2016i −1.66578 1.15867i
\(924\) −66.5038 + 50.0492i −2.18781 + 1.64650i
\(925\) −33.8856 4.78385i −1.11415 0.157292i
\(926\) 82.7715 + 1.54800i 2.72004 + 0.0508706i
\(927\) 87.4074 + 21.6774i 2.87084 + 0.711980i
\(928\) 14.2313 + 35.2871i 0.467166 + 1.15836i
\(929\) 4.87678 2.63608i 0.160002 0.0864869i −0.393543 0.919306i \(-0.628751\pi\)
0.553545 + 0.832819i \(0.313275\pi\)
\(930\) 50.3081 19.2036i 1.64967 0.629712i
\(931\) 2.08847 + 4.78681i 0.0684467 + 0.156881i
\(932\) −4.39150 + 35.9512i −0.143849 + 1.17762i
\(933\) 10.7770 23.4925i 0.352822 0.769110i
\(934\) 27.2793 + 40.0114i 0.892607 + 1.30921i
\(935\) 6.63741 52.6241i 0.217067 1.72099i
\(936\) 38.6030 41.6041i 1.26178 1.35987i
\(937\) −7.34598 29.6204i −0.239983 0.967655i −0.961400 0.275155i \(-0.911271\pi\)
0.721417 0.692501i \(-0.243491\pi\)
\(938\) −2.14545 76.4667i −0.0700514 2.49673i
\(939\) −52.4295 14.0484i −1.71097 0.458454i
\(940\) 3.43859 + 52.4627i 0.112154 + 1.71115i
\(941\) 2.06505 + 0.213142i 0.0673189 + 0.00694824i 0.136269 0.990672i \(-0.456489\pi\)
−0.0689503 + 0.997620i \(0.521965\pi\)
\(942\) 3.07114 + 36.4099i 0.100063 + 1.18630i
\(943\) 13.7860 + 6.95950i 0.448935 + 0.226633i
\(944\) −14.2217 15.9140i −0.462876 0.517958i
\(945\) 75.6778 113.260i 2.46180 3.68434i
\(946\) 31.0250 + 36.4560i 1.00871 + 1.18529i
\(947\) 36.5240 24.4046i 1.18687 0.793042i 0.204297 0.978909i \(-0.434509\pi\)
0.982575 + 0.185867i \(0.0595093\pi\)
\(948\) 20.1329 7.04479i 0.653885 0.228804i
\(949\) 4.74465 17.0673i 0.154018 0.554029i
\(950\) 32.9513 59.6208i 1.06908 1.93436i
\(951\) 50.4487 + 15.5614i 1.63591 + 0.504612i
\(952\) 3.03614 17.4552i 0.0984019 0.565727i
\(953\) 4.95634 2.86155i 0.160552 0.0926946i −0.417571 0.908644i \(-0.637119\pi\)
0.578123 + 0.815950i \(0.303785\pi\)
\(954\) −8.82460 + 6.26139i −0.285707 + 0.202720i
\(955\) 59.1989 + 21.3379i 1.91563 + 0.690479i
\(956\) 22.8516 0.855047i 0.739074 0.0276542i
\(957\) 52.5365 + 4.43140i 1.69826 + 0.143247i
\(958\) −10.7100 10.5115i −0.346023 0.339612i
\(959\) 1.79270 + 11.1833i 0.0578894 + 0.361127i
\(960\) −138.779 45.6665i −4.47906 1.47388i
\(961\) 18.5111 19.2167i 0.597132 0.619893i
\(962\) 31.7388 30.0064i 1.02330 0.967446i
\(963\) −52.7451 97.5791i −1.69969 3.14444i
\(964\) −0.496324 + 53.0813i −0.0159855 + 1.70963i
\(965\) −21.8610 + 29.6206i −0.703731 + 0.953522i
\(966\) −21.0639 117.320i −0.677720 3.77471i
\(967\) −14.2864 12.7671i −0.459420 0.410563i 0.404228 0.914658i \(-0.367540\pi\)
−0.863648 + 0.504095i \(0.831826\pi\)
\(968\) 0.517638 0.249281i 0.0166375 0.00801220i
\(969\) −40.4953 + 13.9921i −1.30090 + 0.449492i
\(970\) −78.5650 + 11.8418i −2.52257 + 0.380216i
\(971\) −41.3842 8.63485i −1.32808 0.277105i −0.513968 0.857809i \(-0.671825\pi\)
−0.814115 + 0.580704i \(0.802777\pi\)
\(972\) −5.24246 50.7922i −0.168152 1.62916i
\(973\) −31.1250 + 19.5571i −0.997820 + 0.626972i
\(974\) −2.90324 13.2916i −0.0930259 0.425890i
\(975\) 162.224 45.0975i 5.19531 1.44428i
\(976\) −12.3922 + 1.98650i −0.396666 + 0.0635863i
\(977\) −6.45829 30.9527i −0.206619 0.990263i −0.947777 0.318933i \(-0.896676\pi\)
0.741158 0.671330i \(-0.234277\pi\)
\(978\) 13.0135 + 23.5462i 0.416126 + 0.752923i
\(979\) 40.8432 9.72484i 1.30535 0.310807i
\(980\) −16.1100 + 0.753688i −0.514614 + 0.0240757i
\(981\) 36.7146 + 34.7106i 1.17221 + 1.10822i
\(982\) −5.63488 + 21.0297i −0.179816 + 0.671084i
\(983\) −10.6196 + 12.1093i −0.338713 + 0.386228i −0.895972 0.444111i \(-0.853520\pi\)
0.557259 + 0.830339i \(0.311853\pi\)
\(984\) −1.11092 11.8469i −0.0354148 0.377665i
\(985\) 26.5625 + 33.3083i 0.846352 + 1.06129i
\(986\) −34.7559 + 27.4949i −1.10685 + 0.875617i
\(987\) −42.7263 20.5759i −1.35999 0.654938i
\(988\) 19.0478 + 45.9856i 0.605993 + 1.46300i
\(989\) −38.1443 + 9.23719i −1.21292 + 0.293725i
\(990\) −135.391 + 135.391i −4.30301 + 4.30301i
\(991\) −54.4112 + 7.68158i −1.72843 + 0.244014i −0.932447 0.361307i \(-0.882331\pi\)
−0.795982 + 0.605321i \(0.793045\pi\)
\(992\) 15.7927 1.92911i 0.501419 0.0612492i
\(993\) −103.792 + 8.75476i −3.29374 + 0.277824i
\(994\) 53.4946 + 44.3220i 1.69675 + 1.40581i
\(995\) −15.2365 + 11.6914i −0.483030 + 0.370642i
\(996\) 22.8656 + 1.49869i 0.724525 + 0.0474879i
\(997\) −19.5401 43.6677i −0.618840 1.38297i −0.905256 0.424866i \(-0.860321\pi\)
0.286417 0.958105i \(-0.407536\pi\)
\(998\) −75.6552 + 35.5661i −2.39482 + 1.12582i
\(999\) −1.63866 43.7940i −0.0518448 1.38558i
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 731.2.bm.a.3.11 6144
17.6 odd 16 inner 731.2.bm.a.261.11 yes 6144
43.29 odd 42 inner 731.2.bm.a.717.11 yes 6144
731.244 even 336 inner 731.2.bm.a.244.11 yes 6144
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
731.2.bm.a.3.11 6144 1.1 even 1 trivial
731.2.bm.a.244.11 yes 6144 731.244 even 336 inner
731.2.bm.a.261.11 yes 6144 17.6 odd 16 inner
731.2.bm.a.717.11 yes 6144 43.29 odd 42 inner