Properties

Label 43.3.h.a.5.2
Level $43$
Weight $3$
Character 43.5
Analytic conductor $1.172$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [43,3,Mod(3,43)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(43, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("43.3");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), 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: \(1.17166513675\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(6\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) \(=\) 43.5
Dual form 43.3.h.a.26.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.60332 - 0.365947i) q^{2} +(-0.914301 + 2.96409i) q^{3} +(-1.16717 - 0.562078i) q^{4} +(-3.68671 + 1.44693i) q^{5} +(2.55061 - 4.41779i) q^{6} +(-8.88846 + 5.13175i) q^{7} +(6.80869 + 5.42975i) q^{8} +(-0.513742 - 0.350263i) q^{9} +O(q^{10})\) \(q+(-1.60332 - 0.365947i) q^{2} +(-0.914301 + 2.96409i) q^{3} +(-1.16717 - 0.562078i) q^{4} +(-3.68671 + 1.44693i) q^{5} +(2.55061 - 4.41779i) q^{6} +(-8.88846 + 5.13175i) q^{7} +(6.80869 + 5.42975i) q^{8} +(-0.513742 - 0.350263i) q^{9} +(6.44047 - 0.970744i) q^{10} +(10.7213 - 5.16312i) q^{11} +(2.73319 - 2.94568i) q^{12} +(-14.7814 - 2.22793i) q^{13} +(16.1290 - 4.97513i) q^{14} +(-0.918061 - 12.2507i) q^{15} +(-5.69868 - 7.14591i) q^{16} +(2.90447 - 7.40048i) q^{17} +(0.695514 + 0.749586i) q^{18} +(16.8706 + 24.7446i) q^{19} +(5.11629 + 0.383413i) q^{20} +(-7.08426 - 31.0382i) q^{21} +(-19.0791 + 4.35468i) q^{22} +(-1.70062 + 22.6932i) q^{23} +(-22.3195 + 15.2172i) q^{24} +(-6.82806 + 6.33551i) q^{25} +(22.8839 + 8.98128i) q^{26} +(-20.3185 + 16.2035i) q^{27} +(13.2587 - 0.993606i) q^{28} +(1.56844 + 5.08475i) q^{29} +(-3.01115 + 19.9777i) q^{30} +(-18.9843 - 17.6149i) q^{31} +(-8.59239 - 17.8423i) q^{32} +(5.50143 + 36.4996i) q^{33} +(-7.36498 + 10.8024i) q^{34} +(25.3439 - 31.7802i) q^{35} +(0.402747 + 0.697578i) q^{36} +(-19.0479 - 10.9973i) q^{37} +(-17.9937 - 45.8472i) q^{38} +(20.1184 - 41.7764i) q^{39} +(-32.9581 - 10.1662i) q^{40} +(-3.78380 + 16.5779i) q^{41} +52.3565i q^{42} +(37.5788 + 20.9005i) q^{43} -15.4156 q^{44} +(2.40082 + 0.547972i) q^{45} +(11.0311 - 35.7621i) q^{46} +(62.0115 + 29.8632i) q^{47} +(26.3914 - 10.3579i) q^{48} +(28.1698 - 48.7915i) q^{49} +(13.2660 - 7.65913i) q^{50} +(19.2801 + 15.3754i) q^{51} +(16.0001 + 10.9087i) q^{52} +(18.8990 - 2.84857i) q^{53} +(38.5067 - 18.5438i) q^{54} +(-32.0558 + 34.5479i) q^{55} +(-88.3829 - 13.3216i) q^{56} +(-88.7702 + 27.3820i) q^{57} +(-0.653956 - 8.72644i) q^{58} +(-14.2526 - 17.8722i) q^{59} +(-5.81430 + 14.8146i) q^{60} +(-52.4112 - 56.4859i) q^{61} +(23.9918 + 35.1895i) q^{62} +(6.36384 + 0.476904i) q^{63} +(15.3823 + 67.3944i) q^{64} +(57.7183 - 13.1738i) q^{65} +(4.53638 - 60.5337i) q^{66} +(65.5318 - 44.6788i) q^{67} +(-7.54965 + 7.00505i) q^{68} +(-65.7099 - 25.7892i) q^{69} +(-52.2642 + 41.6793i) q^{70} +(90.2769 - 6.76532i) q^{71} +(-1.59607 - 5.17432i) q^{72} +(-4.85708 + 32.2246i) q^{73} +(26.5154 + 24.6027i) q^{74} +(-12.5361 - 26.0315i) q^{75} +(-5.78240 - 38.3637i) q^{76} +(-68.8002 + 100.911i) q^{77} +(-47.5442 + 59.6185i) q^{78} +(40.7334 + 70.5523i) q^{79} +(31.3490 + 18.0993i) q^{80} +(-31.4958 - 80.2501i) q^{81} +(12.1333 - 25.1950i) q^{82} +(-112.239 - 34.6212i) q^{83} +(-9.17735 + 40.2086i) q^{84} +31.4860i q^{85} +(-52.6023 - 47.2620i) q^{86} -16.5057 q^{87} +(101.033 + 23.0600i) q^{88} +(-47.5797 + 154.250i) q^{89} +(-3.64875 - 1.75715i) q^{90} +(142.817 - 56.0515i) q^{91} +(14.7402 - 25.5309i) q^{92} +(69.5695 - 40.1660i) q^{93} +(-88.4958 - 70.5731i) q^{94} +(-98.0008 - 66.8158i) q^{95} +(60.7422 - 9.15541i) q^{96} +(81.4250 - 39.2122i) q^{97} +(-63.0201 + 67.9196i) q^{98} +(-7.31645 - 1.10278i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 14 q^{2} - 14 q^{3} + 12 q^{4} - 11 q^{5} + 2 q^{6} - 30 q^{7} - 42 q^{8} + 54 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 14 q^{2} - 14 q^{3} + 12 q^{4} - 11 q^{5} + 2 q^{6} - 30 q^{7} - 42 q^{8} + 54 q^{9} - 13 q^{10} - 42 q^{11} + 20 q^{12} - 24 q^{13} - 108 q^{14} - 43 q^{15} - 40 q^{16} - 7 q^{17} + 16 q^{18} - 38 q^{19} - 55 q^{20} + 3 q^{21} - 98 q^{22} + 30 q^{23} + 268 q^{24} + 49 q^{25} - 79 q^{26} - 14 q^{27} + 66 q^{28} + 27 q^{29} + 132 q^{30} + 330 q^{31} + 56 q^{32} + 142 q^{33} + 109 q^{34} - 31 q^{35} + 9 q^{36} + 69 q^{37} + 262 q^{38} + 49 q^{39} + 239 q^{40} - 94 q^{41} - 19 q^{43} - 64 q^{44} - 420 q^{45} - 9 q^{46} - 66 q^{47} - 221 q^{48} - 6 q^{49} - 495 q^{50} - 560 q^{51} - 452 q^{52} + 16 q^{53} - 394 q^{54} + 328 q^{55} - 1015 q^{56} - 590 q^{57} - 420 q^{58} - 245 q^{59} + 873 q^{60} - 50 q^{61} - 191 q^{62} - 379 q^{63} - 306 q^{64} - 182 q^{65} + 551 q^{66} + 599 q^{67} + 757 q^{68} - 213 q^{69} - 287 q^{70} + 367 q^{71} + 1337 q^{72} + 486 q^{73} + 1656 q^{74} + 1337 q^{75} + 746 q^{76} + 79 q^{77} + 1040 q^{78} + 261 q^{79} + 138 q^{80} + 506 q^{81} + 364 q^{82} - 220 q^{83} - 45 q^{84} - 284 q^{86} + 30 q^{87} - 490 q^{88} - 564 q^{89} - 145 q^{90} - 145 q^{91} - 406 q^{92} - 798 q^{93} - 1666 q^{94} - 353 q^{95} - 506 q^{96} - 99 q^{97} - 500 q^{98} - 2012 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.60332 0.365947i −0.801659 0.182973i −0.197985 0.980205i \(-0.563440\pi\)
−0.603673 + 0.797232i \(0.706297\pi\)
\(3\) −0.914301 + 2.96409i −0.304767 + 0.988030i 0.665582 + 0.746324i \(0.268183\pi\)
−0.970349 + 0.241706i \(0.922293\pi\)
\(4\) −1.16717 0.562078i −0.291792 0.140519i
\(5\) −3.68671 + 1.44693i −0.737342 + 0.289386i −0.704138 0.710063i \(-0.748666\pi\)
−0.0332042 + 0.999449i \(0.510571\pi\)
\(6\) 2.55061 4.41779i 0.425102 0.736299i
\(7\) −8.88846 + 5.13175i −1.26978 + 0.733107i −0.974946 0.222441i \(-0.928597\pi\)
−0.294833 + 0.955549i \(0.595264\pi\)
\(8\) 6.80869 + 5.42975i 0.851086 + 0.678719i
\(9\) −0.513742 0.350263i −0.0570824 0.0389182i
\(10\) 6.44047 0.970744i 0.644047 0.0970744i
\(11\) 10.7213 5.16312i 0.974666 0.469374i 0.122399 0.992481i \(-0.460941\pi\)
0.852267 + 0.523107i \(0.175227\pi\)
\(12\) 2.73319 2.94568i 0.227766 0.245473i
\(13\) −14.7814 2.22793i −1.13703 0.171380i −0.446569 0.894749i \(-0.647354\pi\)
−0.690461 + 0.723370i \(0.742592\pi\)
\(14\) 16.1290 4.97513i 1.15207 0.355366i
\(15\) −0.918061 12.2507i −0.0612041 0.816712i
\(16\) −5.69868 7.14591i −0.356167 0.446620i
\(17\) 2.90447 7.40048i 0.170851 0.435322i −0.819643 0.572875i \(-0.805828\pi\)
0.990495 + 0.137552i \(0.0439235\pi\)
\(18\) 0.695514 + 0.749586i 0.0386397 + 0.0416436i
\(19\) 16.8706 + 24.7446i 0.887927 + 1.30235i 0.952532 + 0.304438i \(0.0984687\pi\)
−0.0646054 + 0.997911i \(0.520579\pi\)
\(20\) 5.11629 + 0.383413i 0.255815 + 0.0191706i
\(21\) −7.08426 31.0382i −0.337346 1.47801i
\(22\) −19.0791 + 4.35468i −0.867232 + 0.197940i
\(23\) −1.70062 + 22.6932i −0.0739400 + 0.986661i 0.829656 + 0.558275i \(0.188537\pi\)
−0.903596 + 0.428386i \(0.859082\pi\)
\(24\) −22.3195 + 15.2172i −0.929978 + 0.634048i
\(25\) −6.82806 + 6.33551i −0.273122 + 0.253420i
\(26\) 22.8839 + 8.98128i 0.880152 + 0.345434i
\(27\) −20.3185 + 16.2035i −0.752539 + 0.600129i
\(28\) 13.2587 0.993606i 0.473527 0.0354859i
\(29\) 1.56844 + 5.08475i 0.0540841 + 0.175336i 0.978585 0.205844i \(-0.0659939\pi\)
−0.924501 + 0.381180i \(0.875518\pi\)
\(30\) −3.01115 + 19.9777i −0.100372 + 0.665923i
\(31\) −18.9843 17.6149i −0.612398 0.568222i 0.311795 0.950150i \(-0.399070\pi\)
−0.924192 + 0.381927i \(0.875260\pi\)
\(32\) −8.59239 17.8423i −0.268512 0.557571i
\(33\) 5.50143 + 36.4996i 0.166710 + 1.10605i
\(34\) −7.36498 + 10.8024i −0.216617 + 0.317719i
\(35\) 25.3439 31.7802i 0.724111 0.908007i
\(36\) 0.402747 + 0.697578i 0.0111874 + 0.0193772i
\(37\) −19.0479 10.9973i −0.514808 0.297224i 0.220000 0.975500i \(-0.429394\pi\)
−0.734808 + 0.678275i \(0.762728\pi\)
\(38\) −17.9937 45.8472i −0.473519 1.20651i
\(39\) 20.1184 41.7764i 0.515857 1.07119i
\(40\) −32.9581 10.1662i −0.823953 0.254156i
\(41\) −3.78380 + 16.5779i −0.0922879 + 0.404340i −0.999880 0.0155142i \(-0.995061\pi\)
0.907592 + 0.419854i \(0.137919\pi\)
\(42\) 52.3565i 1.24658i
\(43\) 37.5788 + 20.9005i 0.873926 + 0.486059i
\(44\) −15.4156 −0.350355
\(45\) 2.40082 + 0.547972i 0.0533517 + 0.0121772i
\(46\) 11.0311 35.7621i 0.239807 0.777436i
\(47\) 62.0115 + 29.8632i 1.31939 + 0.635387i 0.955207 0.295939i \(-0.0956325\pi\)
0.364187 + 0.931326i \(0.381347\pi\)
\(48\) 26.3914 10.3579i 0.549822 0.215789i
\(49\) 28.1698 48.7915i 0.574893 0.995744i
\(50\) 13.2660 7.65913i 0.265320 0.153183i
\(51\) 19.2801 + 15.3754i 0.378042 + 0.301478i
\(52\) 16.0001 + 10.9087i 0.307693 + 0.209782i
\(53\) 18.8990 2.84857i 0.356585 0.0537465i 0.0316929 0.999498i \(-0.489910\pi\)
0.324892 + 0.945751i \(0.394672\pi\)
\(54\) 38.5067 18.5438i 0.713087 0.343404i
\(55\) −32.0558 + 34.5479i −0.582832 + 0.628144i
\(56\) −88.3829 13.3216i −1.57827 0.237885i
\(57\) −88.7702 + 27.3820i −1.55737 + 0.480385i
\(58\) −0.653956 8.72644i −0.0112751 0.150456i
\(59\) −14.2526 17.8722i −0.241569 0.302918i 0.646236 0.763138i \(-0.276342\pi\)
−0.887805 + 0.460220i \(0.847771\pi\)
\(60\) −5.81430 + 14.8146i −0.0969050 + 0.246910i
\(61\) −52.4112 56.4859i −0.859201 0.925998i 0.138728 0.990331i \(-0.455699\pi\)
−0.997929 + 0.0643326i \(0.979508\pi\)
\(62\) 23.9918 + 35.1895i 0.386964 + 0.567573i
\(63\) 6.36384 + 0.476904i 0.101013 + 0.00756990i
\(64\) 15.3823 + 67.3944i 0.240349 + 1.05304i
\(65\) 57.7183 13.1738i 0.887975 0.202674i
\(66\) 4.53638 60.5337i 0.0687330 0.917178i
\(67\) 65.5318 44.6788i 0.978086 0.666848i 0.0349967 0.999387i \(-0.488858\pi\)
0.943089 + 0.332540i \(0.107906\pi\)
\(68\) −7.54965 + 7.00505i −0.111024 + 0.103015i
\(69\) −65.7099 25.7892i −0.952317 0.373757i
\(70\) −52.2642 + 41.6793i −0.746631 + 0.595418i
\(71\) 90.2769 6.76532i 1.27151 0.0952862i 0.578180 0.815910i \(-0.303763\pi\)
0.693327 + 0.720623i \(0.256144\pi\)
\(72\) −1.59607 5.17432i −0.0221676 0.0718656i
\(73\) −4.85708 + 32.2246i −0.0665354 + 0.441433i 0.930615 + 0.365999i \(0.119273\pi\)
−0.997151 + 0.0754346i \(0.975966\pi\)
\(74\) 26.5154 + 24.6027i 0.358316 + 0.332469i
\(75\) −12.5361 26.0315i −0.167148 0.347087i
\(76\) −5.78240 38.3637i −0.0760842 0.504785i
\(77\) −68.8002 + 100.911i −0.893509 + 1.31054i
\(78\) −47.5442 + 59.6185i −0.609540 + 0.764340i
\(79\) 40.7334 + 70.5523i 0.515612 + 0.893067i 0.999836 + 0.0181224i \(0.00576886\pi\)
−0.484223 + 0.874944i \(0.660898\pi\)
\(80\) 31.3490 + 18.0993i 0.391862 + 0.226242i
\(81\) −31.4958 80.2501i −0.388838 0.990742i
\(82\) 12.1333 25.1950i 0.147967 0.307256i
\(83\) −112.239 34.6212i −1.35228 0.417122i −0.467853 0.883806i \(-0.654972\pi\)
−0.884424 + 0.466684i \(0.845449\pi\)
\(84\) −9.17735 + 40.2086i −0.109254 + 0.478674i
\(85\) 31.4860i 0.370424i
\(86\) −52.6023 47.2620i −0.611655 0.549558i
\(87\) −16.5057 −0.189721
\(88\) 101.033 + 23.0600i 1.14810 + 0.262046i
\(89\) −47.5797 + 154.250i −0.534604 + 1.73314i 0.135406 + 0.990790i \(0.456766\pi\)
−0.670010 + 0.742352i \(0.733710\pi\)
\(90\) −3.64875 1.75715i −0.0405417 0.0195239i
\(91\) 142.817 56.0515i 1.56942 0.615950i
\(92\) 14.7402 25.5309i 0.160220 0.277509i
\(93\) 69.5695 40.1660i 0.748059 0.431892i
\(94\) −88.4958 70.5731i −0.941445 0.750777i
\(95\) −98.0008 66.8158i −1.03159 0.703324i
\(96\) 60.7422 9.15541i 0.632731 0.0953689i
\(97\) 81.4250 39.2122i 0.839433 0.404249i 0.0357884 0.999359i \(-0.488606\pi\)
0.803644 + 0.595110i \(0.202891\pi\)
\(98\) −63.0201 + 67.9196i −0.643063 + 0.693057i
\(99\) −7.31645 1.10278i −0.0739035 0.0111392i
\(100\) 11.5305 3.55670i 0.115305 0.0355670i
\(101\) 3.61623 + 48.2552i 0.0358042 + 0.477774i 0.986070 + 0.166333i \(0.0531926\pi\)
−0.950265 + 0.311441i \(0.899188\pi\)
\(102\) −25.2856 31.7071i −0.247898 0.310854i
\(103\) −73.6136 + 187.564i −0.714695 + 1.82101i −0.163687 + 0.986512i \(0.552339\pi\)
−0.551008 + 0.834500i \(0.685756\pi\)
\(104\) −88.5447 95.4285i −0.851392 0.917582i
\(105\) 71.0276 + 104.178i 0.676453 + 0.992175i
\(106\) −31.3435 2.34887i −0.295693 0.0221592i
\(107\) −31.8191 139.409i −0.297375 1.30289i −0.874020 0.485890i \(-0.838495\pi\)
0.576645 0.816995i \(-0.304362\pi\)
\(108\) 32.8227 7.49157i 0.303914 0.0693664i
\(109\) 5.91361 78.9116i 0.0542533 0.723960i −0.902059 0.431613i \(-0.857945\pi\)
0.956312 0.292347i \(-0.0944363\pi\)
\(110\) 64.0383 43.6606i 0.582166 0.396914i
\(111\) 50.0125 46.4048i 0.450563 0.418062i
\(112\) 87.3235 + 34.2719i 0.779674 + 0.305999i
\(113\) 94.6454 75.4772i 0.837570 0.667940i −0.107716 0.994182i \(-0.534354\pi\)
0.945286 + 0.326242i \(0.105782\pi\)
\(114\) 152.347 11.4168i 1.33638 0.100148i
\(115\) −26.5657 86.1240i −0.231006 0.748904i
\(116\) 1.02740 6.81634i 0.00885688 0.0587615i
\(117\) 6.81345 + 6.32196i 0.0582346 + 0.0540339i
\(118\) 16.3111 + 33.8704i 0.138230 + 0.287037i
\(119\) 12.1611 + 80.6839i 0.102194 + 0.678016i
\(120\) 60.2673 88.3959i 0.502228 0.736633i
\(121\) 12.8467 16.1093i 0.106171 0.133135i
\(122\) 63.3610 + 109.744i 0.519353 + 0.899545i
\(123\) −45.6789 26.3727i −0.371373 0.214413i
\(124\) 12.2569 + 31.2302i 0.0988463 + 0.251856i
\(125\) 58.9658 122.444i 0.471726 0.979550i
\(126\) −10.0287 3.09345i −0.0795931 0.0245512i
\(127\) −39.6295 + 173.628i −0.312043 + 1.36715i 0.539111 + 0.842235i \(0.318760\pi\)
−0.851154 + 0.524916i \(0.824097\pi\)
\(128\) 34.4700i 0.269297i
\(129\) −96.3094 + 92.2777i −0.746585 + 0.715331i
\(130\) −97.3618 −0.748937
\(131\) −13.6105 3.10651i −0.103897 0.0237138i 0.170256 0.985400i \(-0.445540\pi\)
−0.274153 + 0.961686i \(0.588398\pi\)
\(132\) 14.0945 45.6934i 0.106777 0.346162i
\(133\) −276.937 133.366i −2.08223 1.00275i
\(134\) −121.418 + 47.6532i −0.906106 + 0.355621i
\(135\) 51.4633 89.1371i 0.381210 0.660275i
\(136\) 59.9584 34.6170i 0.440871 0.254537i
\(137\) 120.171 + 95.8332i 0.877160 + 0.699512i 0.954730 0.297475i \(-0.0961444\pi\)
−0.0775692 + 0.996987i \(0.524716\pi\)
\(138\) 95.9163 + 65.3946i 0.695045 + 0.473874i
\(139\) −63.1806 + 9.52295i −0.454537 + 0.0685104i −0.372321 0.928104i \(-0.621438\pi\)
−0.0822161 + 0.996615i \(0.526200\pi\)
\(140\) −47.4435 + 22.8476i −0.338882 + 0.163197i
\(141\) −145.214 + 156.504i −1.02989 + 1.10996i
\(142\) −147.218 22.1896i −1.03675 0.156265i
\(143\) −169.979 + 52.4316i −1.18866 + 0.366655i
\(144\) 0.424697 + 5.66719i 0.00294929 + 0.0393555i
\(145\) −13.1397 16.4766i −0.0906183 0.113632i
\(146\) 19.5799 49.8889i 0.134109 0.341705i
\(147\) 118.867 + 128.108i 0.808617 + 0.871482i
\(148\) 16.0507 + 23.5421i 0.108451 + 0.159068i
\(149\) −52.6758 3.94751i −0.353529 0.0264933i −0.103218 0.994659i \(-0.532914\pi\)
−0.250311 + 0.968165i \(0.580533\pi\)
\(150\) 10.5732 + 46.3244i 0.0704882 + 0.308829i
\(151\) 7.18237 1.63933i 0.0475654 0.0108565i −0.198672 0.980066i \(-0.563663\pi\)
0.246237 + 0.969210i \(0.420806\pi\)
\(152\) −19.4904 + 260.082i −0.128227 + 1.71106i
\(153\) −4.08427 + 2.78461i −0.0266946 + 0.0182000i
\(154\) 147.237 136.616i 0.956082 0.887115i
\(155\) 95.4772 + 37.4720i 0.615982 + 0.241755i
\(156\) −46.9631 + 37.4518i −0.301046 + 0.240076i
\(157\) −28.5903 + 2.14255i −0.182104 + 0.0136468i −0.165470 0.986215i \(-0.552914\pi\)
−0.0166340 + 0.999862i \(0.505295\pi\)
\(158\) −39.4902 128.024i −0.249938 0.810278i
\(159\) −8.83596 + 58.6228i −0.0555721 + 0.368697i
\(160\) 57.4942 + 53.3468i 0.359338 + 0.333417i
\(161\) −101.340 210.435i −0.629441 1.30705i
\(162\) 21.1306 + 140.192i 0.130436 + 0.865384i
\(163\) −43.3094 + 63.5233i −0.265702 + 0.389713i −0.935784 0.352574i \(-0.885307\pi\)
0.670082 + 0.742287i \(0.266259\pi\)
\(164\) 13.7344 17.2224i 0.0837464 0.105015i
\(165\) −73.0945 126.603i −0.442997 0.767293i
\(166\) 167.285 + 96.5822i 1.00774 + 0.581821i
\(167\) 7.38204 + 18.8091i 0.0442038 + 0.112629i 0.951271 0.308357i \(-0.0997792\pi\)
−0.907067 + 0.420987i \(0.861684\pi\)
\(168\) 120.295 249.795i 0.716041 1.48687i
\(169\) 52.0338 + 16.0503i 0.307892 + 0.0949721i
\(170\) 11.5222 50.4821i 0.0677776 0.296953i
\(171\) 18.6215i 0.108898i
\(172\) −32.1130 45.5166i −0.186704 0.264631i
\(173\) 141.138 0.815827 0.407914 0.913021i \(-0.366256\pi\)
0.407914 + 0.913021i \(0.366256\pi\)
\(174\) 26.4639 + 6.04021i 0.152091 + 0.0347138i
\(175\) 28.1786 91.3528i 0.161021 0.522016i
\(176\) −97.9925 47.1907i −0.556776 0.268129i
\(177\) 66.0059 25.9054i 0.372914 0.146358i
\(178\) 132.733 229.900i 0.745688 1.29157i
\(179\) −151.432 + 87.4293i −0.845989 + 0.488432i −0.859296 0.511479i \(-0.829098\pi\)
0.0133064 + 0.999911i \(0.495764\pi\)
\(180\) −2.49416 1.98902i −0.0138564 0.0110501i
\(181\) 168.979 + 115.208i 0.933588 + 0.636510i 0.931599 0.363488i \(-0.118414\pi\)
0.00198956 + 0.999998i \(0.499367\pi\)
\(182\) −249.493 + 37.6050i −1.37084 + 0.206621i
\(183\) 215.349 103.707i 1.17677 0.566703i
\(184\) −134.797 + 145.277i −0.732595 + 0.789549i
\(185\) 86.1364 + 12.9830i 0.465602 + 0.0701782i
\(186\) −126.241 + 38.9401i −0.678713 + 0.209355i
\(187\) −7.06974 94.3391i −0.0378061 0.504487i
\(188\) −55.5923 69.7106i −0.295704 0.370801i
\(189\) 97.4481 248.294i 0.515599 1.31372i
\(190\) 132.675 + 142.990i 0.698291 + 0.752579i
\(191\) 89.4992 + 131.271i 0.468582 + 0.687283i 0.985677 0.168645i \(-0.0539390\pi\)
−0.517095 + 0.855928i \(0.672987\pi\)
\(192\) −213.827 16.0241i −1.11368 0.0834591i
\(193\) −48.7529 213.600i −0.252605 1.10674i −0.928966 0.370166i \(-0.879301\pi\)
0.676360 0.736571i \(-0.263556\pi\)
\(194\) −144.900 + 33.0724i −0.746905 + 0.170476i
\(195\) −13.7235 + 183.127i −0.0703769 + 0.939114i
\(196\) −60.3034 + 41.1141i −0.307670 + 0.209766i
\(197\) 200.503 186.040i 1.01778 0.944364i 0.0193207 0.999813i \(-0.493850\pi\)
0.998461 + 0.0554494i \(0.0176592\pi\)
\(198\) 11.3270 + 4.44553i 0.0572072 + 0.0224522i
\(199\) 146.041 116.464i 0.733876 0.585247i −0.183617 0.982998i \(-0.558781\pi\)
0.917493 + 0.397751i \(0.130209\pi\)
\(200\) −80.8903 + 6.06189i −0.404452 + 0.0303095i
\(201\) 72.5163 + 235.092i 0.360778 + 1.16961i
\(202\) 11.8609 78.6917i 0.0587172 0.389563i
\(203\) −40.0347 37.1468i −0.197215 0.182989i
\(204\) −13.8610 28.7826i −0.0679459 0.141091i
\(205\) −10.0373 66.5929i −0.0489623 0.324843i
\(206\) 186.664 273.786i 0.906138 1.32906i
\(207\) 8.82228 11.0628i 0.0426197 0.0534434i
\(208\) 68.3137 + 118.323i 0.328431 + 0.568859i
\(209\) 308.635 + 178.190i 1.47672 + 0.852585i
\(210\) −75.7560 193.023i −0.360743 0.919158i
\(211\) −120.892 + 251.035i −0.572948 + 1.18974i 0.390191 + 0.920734i \(0.372409\pi\)
−0.963139 + 0.269004i \(0.913305\pi\)
\(212\) −23.6594 7.29795i −0.111601 0.0344243i
\(213\) −62.4873 + 273.775i −0.293368 + 1.28533i
\(214\) 235.160i 1.09888i
\(215\) −168.784 22.6804i −0.785041 0.105490i
\(216\) −226.324 −1.04779
\(217\) 259.137 + 59.1462i 1.19418 + 0.272563i
\(218\) −38.3589 + 124.356i −0.175958 + 0.570442i
\(219\) −91.0759 43.8598i −0.415872 0.200273i
\(220\) 56.8330 22.3053i 0.258332 0.101388i
\(221\) −59.4199 + 102.918i −0.268869 + 0.465694i
\(222\) −97.1676 + 56.0998i −0.437692 + 0.252702i
\(223\) −193.743 154.505i −0.868802 0.692846i 0.0839914 0.996466i \(-0.473233\pi\)
−0.952793 + 0.303620i \(0.901805\pi\)
\(224\) 167.935 + 114.496i 0.749711 + 0.511144i
\(225\) 5.72696 0.863200i 0.0254531 0.00383644i
\(226\) −179.367 + 86.3787i −0.793661 + 0.382207i
\(227\) 213.168 229.741i 0.939067 1.01207i −0.0608361 0.998148i \(-0.519377\pi\)
0.999903 0.0139256i \(-0.00443281\pi\)
\(228\) 119.000 + 17.9364i 0.521931 + 0.0786685i
\(229\) −15.8717 + 4.89578i −0.0693088 + 0.0213789i −0.329216 0.944255i \(-0.606784\pi\)
0.259907 + 0.965634i \(0.416308\pi\)
\(230\) 11.0765 + 147.806i 0.0481587 + 0.642633i
\(231\) −236.206 296.193i −1.02254 1.28222i
\(232\) −16.9299 + 43.1367i −0.0729738 + 0.185934i
\(233\) 2.60551 + 2.80807i 0.0111825 + 0.0120518i 0.738618 0.674124i \(-0.235479\pi\)
−0.727436 + 0.686176i \(0.759288\pi\)
\(234\) −8.61063 12.6295i −0.0367975 0.0539721i
\(235\) −271.828 20.3707i −1.15672 0.0866839i
\(236\) 6.58958 + 28.8708i 0.0279219 + 0.122334i
\(237\) −246.366 + 56.2314i −1.03952 + 0.237263i
\(238\) 10.0278 133.812i 0.0421338 0.562236i
\(239\) 123.241 84.0244i 0.515654 0.351567i −0.277364 0.960765i \(-0.589461\pi\)
0.793018 + 0.609198i \(0.208509\pi\)
\(240\) −82.3105 + 76.3730i −0.342961 + 0.318221i
\(241\) 11.2235 + 4.40488i 0.0465704 + 0.0182775i 0.388512 0.921444i \(-0.372989\pi\)
−0.341942 + 0.939721i \(0.611084\pi\)
\(242\) −26.4926 + 21.1271i −0.109473 + 0.0873021i
\(243\) 33.4238 2.50477i 0.137547 0.0103077i
\(244\) 29.4232 + 95.3876i 0.120587 + 0.390933i
\(245\) −33.2561 + 220.640i −0.135739 + 0.900570i
\(246\) 63.5868 + 58.9999i 0.258483 + 0.239837i
\(247\) −194.241 403.347i −0.786403 1.63298i
\(248\) −33.6140 223.014i −0.135540 0.899252i
\(249\) 205.241 301.033i 0.824259 1.20897i
\(250\) −139.349 + 174.738i −0.557395 + 0.698951i
\(251\) 200.126 + 346.629i 0.797316 + 1.38099i 0.921358 + 0.388714i \(0.127081\pi\)
−0.124043 + 0.992277i \(0.539586\pi\)
\(252\) −7.15960 4.13360i −0.0284111 0.0164032i
\(253\) 98.9348 + 252.082i 0.391047 + 0.996370i
\(254\) 127.077 263.879i 0.500304 1.03889i
\(255\) −93.3274 28.7877i −0.365990 0.112893i
\(256\) 48.9152 214.311i 0.191075 0.837154i
\(257\) 144.207i 0.561117i 0.959837 + 0.280559i \(0.0905197\pi\)
−0.959837 + 0.280559i \(0.909480\pi\)
\(258\) 188.183 112.706i 0.729393 0.436846i
\(259\) 225.742 0.871590
\(260\) −74.7716 17.0661i −0.287583 0.0656390i
\(261\) 0.975230 3.16162i 0.00373651 0.0121135i
\(262\) 20.6851 + 9.96143i 0.0789508 + 0.0380207i
\(263\) −153.477 + 60.2354i −0.583564 + 0.229032i −0.638712 0.769446i \(-0.720532\pi\)
0.0551476 + 0.998478i \(0.482437\pi\)
\(264\) −160.726 + 278.386i −0.608812 + 1.05449i
\(265\) −65.5535 + 37.8473i −0.247372 + 0.142820i
\(266\) 395.213 + 315.172i 1.48576 + 1.18486i
\(267\) −413.708 282.061i −1.54947 1.05641i
\(268\) −101.599 + 15.3136i −0.379102 + 0.0571405i
\(269\) 223.414 107.590i 0.830534 0.399964i 0.0302183 0.999543i \(-0.490380\pi\)
0.800315 + 0.599579i \(0.204665\pi\)
\(270\) −115.131 + 124.082i −0.426413 + 0.459564i
\(271\) −31.7717 4.78881i −0.117239 0.0176709i 0.0901608 0.995927i \(-0.471262\pi\)
−0.207399 + 0.978256i \(0.566500\pi\)
\(272\) −69.4348 + 21.4178i −0.255275 + 0.0787420i
\(273\) 35.5641 + 474.570i 0.130271 + 1.73835i
\(274\) −157.602 197.627i −0.575191 0.721267i
\(275\) −40.4948 + 103.179i −0.147254 + 0.375197i
\(276\) 62.1988 + 67.0343i 0.225358 + 0.242878i
\(277\) −77.4754 113.636i −0.279695 0.410237i 0.660526 0.750803i \(-0.270333\pi\)
−0.940220 + 0.340567i \(0.889381\pi\)
\(278\) 104.783 + 7.85243i 0.376919 + 0.0282462i
\(279\) 3.58320 + 15.6990i 0.0128430 + 0.0562689i
\(280\) 345.117 78.7708i 1.23256 0.281324i
\(281\) 23.5433 314.164i 0.0837841 1.11802i −0.783894 0.620894i \(-0.786770\pi\)
0.867678 0.497126i \(-0.165611\pi\)
\(282\) 290.097 197.785i 1.02871 0.701364i
\(283\) −239.604 + 222.320i −0.846658 + 0.785584i −0.978621 0.205671i \(-0.934062\pi\)
0.131963 + 0.991255i \(0.457872\pi\)
\(284\) −109.171 42.8464i −0.384404 0.150868i
\(285\) 287.650 229.393i 1.00930 0.804889i
\(286\) 291.718 21.8612i 1.01999 0.0764378i
\(287\) −51.4416 166.770i −0.179239 0.581079i
\(288\) −1.83523 + 12.1759i −0.00637231 + 0.0422775i
\(289\) 165.521 + 153.581i 0.572736 + 0.531422i
\(290\) 15.0375 + 31.2256i 0.0518534 + 0.107675i
\(291\) 41.7816 + 277.203i 0.143579 + 0.952587i
\(292\) 23.7818 34.8814i 0.0814444 0.119457i
\(293\) 71.6209 89.8098i 0.244440 0.306518i −0.644443 0.764652i \(-0.722911\pi\)
0.888883 + 0.458134i \(0.151482\pi\)
\(294\) −143.700 248.896i −0.488777 0.846586i
\(295\) 78.4048 + 45.2671i 0.265779 + 0.153448i
\(296\) −69.9786 178.302i −0.236414 0.602373i
\(297\) −134.181 + 278.630i −0.451788 + 0.938148i
\(298\) 83.0115 + 25.6057i 0.278562 + 0.0859250i
\(299\) 75.6965 331.648i 0.253166 1.10919i
\(300\) 37.4294i 0.124765i
\(301\) −441.274 + 7.07179i −1.46603 + 0.0234943i
\(302\) −12.1155 −0.0401176
\(303\) −146.339 33.4009i −0.482967 0.110234i
\(304\) 80.6829 261.568i 0.265404 0.860419i
\(305\) 274.956 + 132.412i 0.901495 + 0.434137i
\(306\) 7.56740 2.96998i 0.0247301 0.00970583i
\(307\) −28.3438 + 49.0929i −0.0923250 + 0.159912i −0.908489 0.417909i \(-0.862763\pi\)
0.816164 + 0.577820i \(0.196097\pi\)
\(308\) 137.021 79.1092i 0.444874 0.256848i
\(309\) −488.653 389.688i −1.58140 1.26112i
\(310\) −139.367 95.0191i −0.449573 0.306513i
\(311\) 3.94260 0.594252i 0.0126772 0.00191078i −0.142701 0.989766i \(-0.545579\pi\)
0.155378 + 0.987855i \(0.450341\pi\)
\(312\) 363.815 175.204i 1.16607 0.561552i
\(313\) −222.237 + 239.515i −0.710024 + 0.765223i −0.980290 0.197562i \(-0.936698\pi\)
0.270267 + 0.962785i \(0.412888\pi\)
\(314\) 46.6234 + 7.02734i 0.148482 + 0.0223801i
\(315\) −24.1517 + 7.44981i −0.0766720 + 0.0236502i
\(316\) −7.88676 105.242i −0.0249581 0.333043i
\(317\) 43.1644 + 54.1264i 0.136165 + 0.170746i 0.845239 0.534389i \(-0.179458\pi\)
−0.709074 + 0.705134i \(0.750887\pi\)
\(318\) 35.6197 90.7574i 0.112012 0.285401i
\(319\) 43.0689 + 46.4173i 0.135012 + 0.145509i
\(320\) −154.225 226.207i −0.481953 0.706896i
\(321\) 442.312 + 33.1467i 1.37792 + 0.103261i
\(322\) 85.4723 + 374.479i 0.265442 + 1.16298i
\(323\) 232.122 52.9804i 0.718645 0.164026i
\(324\) −8.34590 + 111.368i −0.0257590 + 0.343729i
\(325\) 115.043 78.4351i 0.353979 0.241339i
\(326\) 92.6849 85.9990i 0.284310 0.263801i
\(327\) 228.495 + 89.6775i 0.698760 + 0.274243i
\(328\) −115.777 + 92.3288i −0.352978 + 0.281490i
\(329\) −704.437 + 52.7903i −2.14115 + 0.160457i
\(330\) 70.8636 + 229.734i 0.214738 + 0.696164i
\(331\) 4.38228 29.0745i 0.0132395 0.0878384i −0.981235 0.192814i \(-0.938238\pi\)
0.994475 + 0.104976i \(0.0334766\pi\)
\(332\) 111.542 + 103.496i 0.335969 + 0.311734i
\(333\) 5.93375 + 12.3216i 0.0178191 + 0.0370017i
\(334\) −4.95261 32.8584i −0.0148282 0.0983785i
\(335\) −176.950 + 259.538i −0.528208 + 0.774739i
\(336\) −181.425 + 227.500i −0.539956 + 0.677083i
\(337\) −132.145 228.881i −0.392120 0.679172i 0.600609 0.799543i \(-0.294925\pi\)
−0.992729 + 0.120371i \(0.961592\pi\)
\(338\) −77.5531 44.7753i −0.229447 0.132471i
\(339\) 137.187 + 349.547i 0.404681 + 1.03111i
\(340\) 17.6976 36.7494i 0.0520517 0.108086i
\(341\) −294.485 90.8366i −0.863592 0.266383i
\(342\) −6.81448 + 29.8562i −0.0199254 + 0.0872988i
\(343\) 75.3292i 0.219619i
\(344\) 142.378 + 346.349i 0.413889 + 1.00683i
\(345\) 279.568 0.810343
\(346\) −226.289 51.6490i −0.654015 0.149275i
\(347\) 28.8395 93.4953i 0.0831109 0.269439i −0.904473 0.426531i \(-0.859736\pi\)
0.987584 + 0.157092i \(0.0502118\pi\)
\(348\) 19.2649 + 9.27749i 0.0553589 + 0.0266594i
\(349\) −124.535 + 48.8763i −0.356833 + 0.140047i −0.536984 0.843592i \(-0.680437\pi\)
0.180151 + 0.983639i \(0.442341\pi\)
\(350\) −78.6095 + 136.156i −0.224599 + 0.389016i
\(351\) 336.436 194.242i 0.958508 0.553395i
\(352\) −184.244 146.929i −0.523419 0.417413i
\(353\) 115.218 + 78.5545i 0.326397 + 0.222534i 0.715421 0.698694i \(-0.246235\pi\)
−0.389023 + 0.921228i \(0.627187\pi\)
\(354\) −115.308 + 17.3799i −0.325730 + 0.0490959i
\(355\) −323.036 + 155.566i −0.909961 + 0.438214i
\(356\) 142.234 153.291i 0.399533 0.430594i
\(357\) −250.273 37.7226i −0.701046 0.105666i
\(358\) 274.788 84.7609i 0.767565 0.236762i
\(359\) 21.6089 + 288.351i 0.0601920 + 0.803207i 0.942856 + 0.333201i \(0.108129\pi\)
−0.882664 + 0.470005i \(0.844252\pi\)
\(360\) 13.3711 + 16.7668i 0.0371420 + 0.0465746i
\(361\) −195.791 + 498.869i −0.542359 + 1.38191i
\(362\) −228.768 246.553i −0.631955 0.681085i
\(363\) 36.0037 + 52.8077i 0.0991837 + 0.145476i
\(364\) −198.196 14.8528i −0.544495 0.0408043i
\(365\) −28.7200 125.831i −0.0786851 0.344742i
\(366\) −383.224 + 87.4683i −1.04706 + 0.238984i
\(367\) −0.896339 + 11.9608i −0.00244234 + 0.0325908i −0.998292 0.0584247i \(-0.981392\pi\)
0.995849 + 0.0910155i \(0.0290113\pi\)
\(368\) 171.855 117.169i 0.466997 0.318393i
\(369\) 7.75054 7.19145i 0.0210042 0.0194890i
\(370\) −133.353 52.3371i −0.360413 0.141452i
\(371\) −153.365 + 122.304i −0.413382 + 0.329661i
\(372\) −103.776 + 7.77690i −0.278967 + 0.0209057i
\(373\) −113.795 368.915i −0.305081 0.989048i −0.970199 0.242310i \(-0.922095\pi\)
0.665118 0.746738i \(-0.268381\pi\)
\(374\) −23.1881 + 153.843i −0.0620001 + 0.411344i
\(375\) 309.022 + 286.730i 0.824058 + 0.764615i
\(376\) 260.068 + 540.036i 0.691669 + 1.43627i
\(377\) −11.8552 78.6541i −0.0314461 0.208632i
\(378\) −247.103 + 362.433i −0.653710 + 0.958817i
\(379\) 305.439 383.008i 0.805907 1.01058i −0.193658 0.981069i \(-0.562035\pi\)
0.999565 0.0295059i \(-0.00939340\pi\)
\(380\) 76.8275 + 133.069i 0.202178 + 0.350182i
\(381\) −478.416 276.214i −1.25569 0.724971i
\(382\) −95.4573 243.221i −0.249888 0.636705i
\(383\) 135.866 282.129i 0.354742 0.736630i −0.644875 0.764288i \(-0.723091\pi\)
0.999617 + 0.0276579i \(0.00880490\pi\)
\(384\) 102.172 + 31.5160i 0.266074 + 0.0820728i
\(385\) 107.635 471.580i 0.279571 1.22488i
\(386\) 360.310i 0.933445i
\(387\) −11.9851 23.9000i −0.0309693 0.0617570i
\(388\) −117.077 −0.301744
\(389\) −222.474 50.7783i −0.571913 0.130535i −0.0732226 0.997316i \(-0.523328\pi\)
−0.498690 + 0.866780i \(0.666185\pi\)
\(390\) 89.0180 288.589i 0.228251 0.739972i
\(391\) 163.001 + 78.4973i 0.416883 + 0.200760i
\(392\) 456.725 179.251i 1.16511 0.457273i
\(393\) 21.6521 37.5025i 0.0550943 0.0954261i
\(394\) −389.551 + 224.907i −0.988707 + 0.570830i
\(395\) −252.256 201.168i −0.638623 0.509285i
\(396\) 7.91966 + 5.39953i 0.0199991 + 0.0136352i
\(397\) 551.080 83.0620i 1.38811 0.209224i 0.587896 0.808937i \(-0.299956\pi\)
0.800216 + 0.599712i \(0.204718\pi\)
\(398\) −276.770 + 133.286i −0.695403 + 0.334888i
\(399\) 648.512 698.930i 1.62534 1.75170i
\(400\) 84.1839 + 12.6887i 0.210460 + 0.0317217i
\(401\) 673.874 207.863i 1.68048 0.518361i 0.699863 0.714277i \(-0.253244\pi\)
0.980621 + 0.195916i \(0.0627680\pi\)
\(402\) −30.2355 403.464i −0.0752126 1.00364i
\(403\) 241.370 + 302.668i 0.598933 + 0.751038i
\(404\) 22.9024 58.3544i 0.0566892 0.144442i
\(405\) 232.232 + 250.287i 0.573413 + 0.617992i
\(406\) 50.5946 + 74.2086i 0.124617 + 0.182780i
\(407\) −260.999 19.5592i −0.641275 0.0480569i
\(408\) 47.7879 + 209.373i 0.117127 + 0.513168i
\(409\) 170.719 38.9656i 0.417407 0.0952703i −0.00865923 0.999963i \(-0.502756\pi\)
0.426066 + 0.904692i \(0.359899\pi\)
\(410\) −8.27653 + 110.443i −0.0201867 + 0.269372i
\(411\) −393.931 + 268.577i −0.958469 + 0.653473i
\(412\) 191.345 177.542i 0.464429 0.430928i
\(413\) 218.399 + 85.7152i 0.528811 + 0.207543i
\(414\) −18.1933 + 14.5087i −0.0439452 + 0.0350451i
\(415\) 463.887 34.7635i 1.11780 0.0837676i
\(416\) 87.2560 + 282.877i 0.209750 + 0.679992i
\(417\) 29.5392 195.980i 0.0708375 0.469976i
\(418\) −429.631 398.639i −1.02783 0.953683i
\(419\) −7.72791 16.0472i −0.0184437 0.0382988i 0.891543 0.452935i \(-0.149623\pi\)
−0.909987 + 0.414636i \(0.863909\pi\)
\(420\) −24.3447 161.516i −0.0579635 0.384563i
\(421\) −174.091 + 255.344i −0.413518 + 0.606519i −0.975332 0.220745i \(-0.929151\pi\)
0.561814 + 0.827264i \(0.310104\pi\)
\(422\) 285.694 358.248i 0.676999 0.848930i
\(423\) −21.3980 37.0623i −0.0505862 0.0876178i
\(424\) 144.144 + 83.2218i 0.339963 + 0.196278i
\(425\) 27.0539 + 68.9322i 0.0636562 + 0.162193i
\(426\) 200.374 416.081i 0.470361 0.976715i
\(427\) 755.726 + 233.111i 1.76985 + 0.545927i
\(428\) −41.2203 + 180.598i −0.0963091 + 0.421958i
\(429\) 551.772i 1.28618i
\(430\) 262.314 + 98.1297i 0.610033 + 0.228209i
\(431\) −647.482 −1.50228 −0.751139 0.660144i \(-0.770495\pi\)
−0.751139 + 0.660144i \(0.770495\pi\)
\(432\) 231.578 + 52.8561i 0.536059 + 0.122352i
\(433\) −98.5622 + 319.531i −0.227626 + 0.737947i 0.767650 + 0.640869i \(0.221426\pi\)
−0.995277 + 0.0970778i \(0.969050\pi\)
\(434\) −393.834 189.660i −0.907451 0.437005i
\(435\) 60.8518 23.8826i 0.139889 0.0549024i
\(436\) −51.2566 + 88.7791i −0.117561 + 0.203622i
\(437\) −590.226 + 340.767i −1.35063 + 0.779787i
\(438\) 129.973 + 103.650i 0.296742 + 0.236644i
\(439\) −19.2068 13.0950i −0.0437512 0.0298291i 0.541247 0.840864i \(-0.317952\pi\)
−0.584998 + 0.811035i \(0.698905\pi\)
\(440\) −405.844 + 61.1712i −0.922373 + 0.139025i
\(441\) −31.5619 + 15.1994i −0.0715688 + 0.0344657i
\(442\) 132.932 143.266i 0.300750 0.324132i
\(443\) −18.3887 2.77165i −0.0415094 0.00625654i 0.128255 0.991741i \(-0.459062\pi\)
−0.169764 + 0.985485i \(0.554301\pi\)
\(444\) −84.4560 + 26.0512i −0.190216 + 0.0586740i
\(445\) −47.7754 637.518i −0.107360 1.43263i
\(446\) 254.091 + 318.620i 0.569710 + 0.714394i
\(447\) 59.8624 152.527i 0.133920 0.341223i
\(448\) −482.577 520.094i −1.07718 1.16092i
\(449\) −84.4599 123.880i −0.188107 0.275902i 0.720588 0.693364i \(-0.243872\pi\)
−0.908694 + 0.417462i \(0.862920\pi\)
\(450\) −9.49801 0.711778i −0.0211067 0.00158173i
\(451\) 45.0264 + 197.273i 0.0998368 + 0.437413i
\(452\) −152.891 + 34.8964i −0.338254 + 0.0772044i
\(453\) −1.70773 + 22.7880i −0.00376982 + 0.0503047i
\(454\) −425.849 + 290.339i −0.937994 + 0.639513i
\(455\) −445.422 + 413.291i −0.978950 + 0.908333i
\(456\) −753.086 295.564i −1.65150 0.648168i
\(457\) 249.097 198.648i 0.545070 0.434679i −0.311848 0.950132i \(-0.600948\pi\)
0.856918 + 0.515453i \(0.172376\pi\)
\(458\) 27.2390 2.04128i 0.0594738 0.00445695i
\(459\) 60.8990 + 197.430i 0.132677 + 0.430130i
\(460\) −17.4017 + 115.453i −0.0378299 + 0.250985i
\(461\) 0.232529 + 0.215756i 0.000504402 + 0.000468017i 0.680425 0.732818i \(-0.261795\pi\)
−0.679920 + 0.733286i \(0.737986\pi\)
\(462\) 270.323 + 561.331i 0.585114 + 1.21500i
\(463\) 119.703 + 794.176i 0.258537 + 1.71528i 0.621445 + 0.783458i \(0.286546\pi\)
−0.362908 + 0.931825i \(0.618216\pi\)
\(464\) 27.3972 40.1843i 0.0590457 0.0866041i
\(465\) −198.365 + 248.742i −0.426592 + 0.534930i
\(466\) −3.14986 5.45571i −0.00675935 0.0117075i
\(467\) −396.564 228.956i −0.849174 0.490271i 0.0111982 0.999937i \(-0.496435\pi\)
−0.860372 + 0.509667i \(0.829769\pi\)
\(468\) −4.39900 11.2085i −0.00939957 0.0239497i
\(469\) −353.196 + 733.418i −0.753082 + 1.56379i
\(470\) 428.373 + 132.135i 0.911431 + 0.281139i
\(471\) 19.7894 86.7032i 0.0420158 0.184083i
\(472\) 199.074i 0.421767i
\(473\) 510.807 + 30.0575i 1.07993 + 0.0635464i
\(474\) 415.581 0.876752
\(475\) −271.963 62.0738i −0.572554 0.130682i
\(476\) 31.1565 101.007i 0.0654549 0.212200i
\(477\) −10.7070 5.15620i −0.0224464 0.0108096i
\(478\) −228.343 + 89.6181i −0.477706 + 0.187486i
\(479\) 98.7296 171.005i 0.206116 0.357004i −0.744372 0.667766i \(-0.767251\pi\)
0.950488 + 0.310762i \(0.100584\pi\)
\(480\) −210.692 + 121.643i −0.438941 + 0.253423i
\(481\) 257.053 + 204.993i 0.534413 + 0.426180i
\(482\) −16.3828 11.1696i −0.0339892 0.0231735i
\(483\) 716.403 107.980i 1.48324 0.223562i
\(484\) −24.0490 + 11.5814i −0.0496880 + 0.0239285i
\(485\) −243.453 + 262.380i −0.501965 + 0.540990i
\(486\) −54.5056 8.21540i −0.112152 0.0169041i
\(487\) 626.234 193.168i 1.28590 0.396648i 0.424896 0.905242i \(-0.360311\pi\)
0.861006 + 0.508594i \(0.169835\pi\)
\(488\) −50.1477 669.175i −0.102762 1.37126i
\(489\) −148.691 186.453i −0.304071 0.381294i
\(490\) 134.062 341.585i 0.273597 0.697113i
\(491\) −165.458 178.321i −0.336982 0.363180i 0.541713 0.840563i \(-0.317776\pi\)
−0.878695 + 0.477383i \(0.841585\pi\)
\(492\) 38.4914 + 56.4565i 0.0782345 + 0.114749i
\(493\) 42.1851 + 3.16134i 0.0855682 + 0.00641245i
\(494\) 163.827 + 717.774i 0.331634 + 1.45298i
\(495\) 28.5693 6.52075i 0.0577157 0.0131732i
\(496\) −17.6889 + 236.042i −0.0356631 + 0.475891i
\(497\) −767.705 + 523.412i −1.54468 + 1.05314i
\(498\) −439.228 + 407.544i −0.881983 + 0.818361i
\(499\) 289.932 + 113.790i 0.581025 + 0.228036i 0.637606 0.770362i \(-0.279925\pi\)
−0.0565811 + 0.998398i \(0.518020\pi\)
\(500\) −137.646 + 109.769i −0.275292 + 0.219538i
\(501\) −62.5013 + 4.68383i −0.124753 + 0.00934896i
\(502\) −194.018 628.991i −0.386490 1.25297i
\(503\) −37.2168 + 246.917i −0.0739897 + 0.490889i 0.920890 + 0.389823i \(0.127464\pi\)
−0.994880 + 0.101067i \(0.967774\pi\)
\(504\) 40.7399 + 37.8011i 0.0808332 + 0.0750022i
\(505\) −83.1537 172.671i −0.164661 0.341922i
\(506\) −66.3754 440.372i −0.131177 0.870300i
\(507\) −95.1490 + 139.558i −0.187671 + 0.275262i
\(508\) 143.847 180.378i 0.283163 0.355075i
\(509\) −167.886 290.787i −0.329835 0.571291i 0.652644 0.757665i \(-0.273660\pi\)
−0.982479 + 0.186374i \(0.940326\pi\)
\(510\) 139.099 + 80.3086i 0.272742 + 0.157468i
\(511\) −122.197 311.352i −0.239133 0.609300i
\(512\) −216.677 + 449.934i −0.423197 + 0.878778i
\(513\) −743.736 229.412i −1.44978 0.447197i
\(514\) 52.7721 231.210i 0.102670 0.449825i
\(515\) 798.009i 1.54953i
\(516\) 164.276 53.5700i 0.318365 0.103818i
\(517\) 819.033 1.58420
\(518\) −361.936 82.6094i −0.698717 0.159478i
\(519\) −129.043 + 418.346i −0.248637 + 0.806062i
\(520\) 464.517 + 223.700i 0.893302 + 0.430191i
\(521\) −483.156 + 189.625i −0.927363 + 0.363963i −0.780473 0.625190i \(-0.785022\pi\)
−0.146890 + 0.989153i \(0.546926\pi\)
\(522\) −2.72059 + 4.71220i −0.00521185 + 0.00902720i
\(523\) 727.183 419.839i 1.39041 0.802752i 0.397046 0.917799i \(-0.370035\pi\)
0.993360 + 0.115047i \(0.0367019\pi\)
\(524\) 14.1396 + 11.2760i 0.0269840 + 0.0215190i
\(525\) 245.014 + 167.048i 0.466694 + 0.318186i
\(526\) 268.116 40.4120i 0.509726 0.0768288i
\(527\) −185.498 + 89.3312i −0.351989 + 0.169509i
\(528\) 229.472 247.312i 0.434607 0.468395i
\(529\) 11.0020 + 1.65829i 0.0207978 + 0.00313476i
\(530\) 118.953 36.6922i 0.224440 0.0692305i
\(531\) 1.06218 + 14.1738i 0.00200034 + 0.0266927i
\(532\) 248.270 + 311.320i 0.466672 + 0.585188i
\(533\) 92.8644 236.615i 0.174230 0.443930i
\(534\) 560.086 + 603.629i 1.04885 + 1.13039i
\(535\) 319.022 + 467.920i 0.596303 + 0.874616i
\(536\) 688.780 + 51.6169i 1.28504 + 0.0963002i
\(537\) −120.694 528.795i −0.224756 0.984721i
\(538\) −397.575 + 90.7439i −0.738987 + 0.168669i
\(539\) 50.1011 668.553i 0.0929520 1.24036i
\(540\) −110.168 + 75.1114i −0.204015 + 0.139095i
\(541\) 301.901 280.123i 0.558042 0.517787i −0.349954 0.936767i \(-0.613803\pi\)
0.907996 + 0.418980i \(0.137612\pi\)
\(542\) 49.1876 + 19.3047i 0.0907521 + 0.0356176i
\(543\) −495.986 + 395.536i −0.913418 + 0.728427i
\(544\) −156.998 + 11.7654i −0.288599 + 0.0216275i
\(545\) 92.3777 + 299.481i 0.169500 + 0.549506i
\(546\) 116.647 773.901i 0.213639 1.41740i
\(547\) −782.610 726.156i −1.43073 1.32752i −0.863874 0.503707i \(-0.831969\pi\)
−0.566856 0.823817i \(-0.691841\pi\)
\(548\) −86.3938 179.399i −0.157653 0.327370i
\(549\) 7.14092 + 47.3769i 0.0130071 + 0.0862967i
\(550\) 102.684 150.610i 0.186698 0.273836i
\(551\) −99.3599 + 124.593i −0.180326 + 0.226122i
\(552\) −307.369 532.379i −0.556828 0.964454i
\(553\) −724.114 418.067i −1.30943 0.755999i
\(554\) 82.6331 + 210.546i 0.149157 + 0.380047i
\(555\) −117.237 + 243.446i −0.211238 + 0.438641i
\(556\) 79.0949 + 24.3975i 0.142257 + 0.0438805i
\(557\) −132.052 + 578.558i −0.237077 + 1.03870i 0.706542 + 0.707671i \(0.250254\pi\)
−0.943619 + 0.331032i \(0.892603\pi\)
\(558\) 26.4818i 0.0474584i
\(559\) −508.902 392.662i −0.910379 0.702436i
\(560\) −371.525 −0.663438
\(561\) 286.094 + 65.2990i 0.509971 + 0.116397i
\(562\) −152.715 + 495.089i −0.271734 + 0.880941i
\(563\) 997.875 + 480.551i 1.77242 + 0.853555i 0.964419 + 0.264380i \(0.0851672\pi\)
0.808005 + 0.589175i \(0.200547\pi\)
\(564\) 257.457 101.044i 0.456483 0.179157i
\(565\) −239.720 + 415.208i −0.424284 + 0.734881i
\(566\) 465.519 268.768i 0.822472 0.474854i
\(567\) 691.773 + 551.671i 1.22006 + 0.972964i
\(568\) 651.402 + 444.118i 1.14683 + 0.781898i
\(569\) −672.418 + 101.351i −1.18175 + 0.178121i −0.710384 0.703814i \(-0.751479\pi\)
−0.471371 + 0.881935i \(0.656241\pi\)
\(570\) −545.140 + 262.526i −0.956387 + 0.460572i
\(571\) 298.134 321.313i 0.522127 0.562719i −0.415843 0.909437i \(-0.636513\pi\)
0.937970 + 0.346718i \(0.112704\pi\)
\(572\) 227.864 + 34.3450i 0.398364 + 0.0600438i
\(573\) −470.929 + 145.262i −0.821865 + 0.253512i
\(574\) 21.4484 + 286.210i 0.0373666 + 0.498623i
\(575\) −132.161 165.725i −0.229845 0.288217i
\(576\) 15.7032 40.0112i 0.0272626 0.0694639i
\(577\) −246.619 265.792i −0.427415 0.460644i 0.482221 0.876050i \(-0.339830\pi\)
−0.909636 + 0.415405i \(0.863640\pi\)
\(578\) −209.180 306.811i −0.361903 0.530814i
\(579\) 677.705 + 50.7870i 1.17048 + 0.0877150i
\(580\) 6.07503 + 26.6164i 0.0104742 + 0.0458904i
\(581\) 1175.30 268.254i 2.02289 0.461711i
\(582\) 34.4523 459.734i 0.0591964 0.789921i
\(583\) 187.915 128.118i 0.322324 0.219757i
\(584\) −208.042 + 193.035i −0.356236 + 0.330539i
\(585\) −34.2667 13.4487i −0.0585755 0.0229892i
\(586\) −147.697 + 117.784i −0.252042 + 0.200997i
\(587\) −375.387 + 28.1314i −0.639501 + 0.0479240i −0.390535 0.920588i \(-0.627710\pi\)
−0.248966 + 0.968512i \(0.580091\pi\)
\(588\) −66.7306 216.335i −0.113487 0.367917i
\(589\) 115.597 766.934i 0.196259 1.30210i
\(590\) −109.142 101.269i −0.184987 0.171643i
\(591\) 368.118 + 764.406i 0.622874 + 1.29341i
\(592\) 29.9620 + 198.785i 0.0506114 + 0.335785i
\(593\) 188.330 276.230i 0.317589 0.465818i −0.633937 0.773384i \(-0.718562\pi\)
0.951527 + 0.307566i \(0.0995146\pi\)
\(594\) 317.099 397.629i 0.533836 0.669409i
\(595\) −161.578 279.862i −0.271560 0.470356i
\(596\) 59.2627 + 34.2153i 0.0994340 + 0.0574082i
\(597\) 211.684 + 539.363i 0.354580 + 0.903456i
\(598\) −242.731 + 504.036i −0.405905 + 0.842870i
\(599\) 542.264 + 167.266i 0.905283 + 0.279243i 0.712230 0.701946i \(-0.247685\pi\)
0.193052 + 0.981188i \(0.438161\pi\)
\(600\) 55.9901 245.309i 0.0933169 0.408848i
\(601\) 398.727i 0.663440i −0.943378 0.331720i \(-0.892371\pi\)
0.943378 0.331720i \(-0.107629\pi\)
\(602\) 710.090 + 150.144i 1.17955 + 0.249409i
\(603\) −49.3158 −0.0817840
\(604\) −9.30445 2.12368i −0.0154047 0.00351603i
\(605\) −24.0532 + 77.9787i −0.0397574 + 0.128890i
\(606\) 222.405 + 107.105i 0.367005 + 0.176740i
\(607\) −571.992 + 224.490i −0.942326 + 0.369836i −0.786249 0.617909i \(-0.787980\pi\)
−0.156077 + 0.987745i \(0.549885\pi\)
\(608\) 296.542 513.626i 0.487733 0.844779i
\(609\) 146.710 84.7032i 0.240903 0.139086i
\(610\) −392.386 312.917i −0.643256 0.512979i
\(611\) −850.083 579.577i −1.39130 0.948571i
\(612\) 6.33218 0.954423i 0.0103467 0.00155952i
\(613\) −585.091 + 281.765i −0.954472 + 0.459649i −0.845252 0.534368i \(-0.820550\pi\)
−0.109220 + 0.994018i \(0.534835\pi\)
\(614\) 63.4095 68.3391i 0.103273 0.111302i
\(615\) 206.565 + 31.1346i 0.335877 + 0.0506253i
\(616\) −1016.36 + 313.506i −1.64994 + 0.508939i
\(617\) 48.3794 + 645.579i 0.0784108 + 1.04632i 0.888157 + 0.459539i \(0.151985\pi\)
−0.809747 + 0.586780i \(0.800396\pi\)
\(618\) 640.860 + 803.614i 1.03699 + 1.30035i
\(619\) −3.90982 + 9.96205i −0.00631634 + 0.0160938i −0.933997 0.357280i \(-0.883704\pi\)
0.927681 + 0.373374i \(0.121799\pi\)
\(620\) −90.3756 97.4017i −0.145767 0.157100i
\(621\) −333.155 488.649i −0.536482 0.786874i
\(622\) −6.53871 0.490009i −0.0105124 0.000787795i
\(623\) −368.661 1615.21i −0.591751 2.59263i
\(624\) −413.179 + 94.3053i −0.662145 + 0.151130i
\(625\) −22.8207 + 304.521i −0.0365131 + 0.487234i
\(626\) 443.967 302.691i 0.709212 0.483533i
\(627\) −810.357 + 751.902i −1.29244 + 1.19921i
\(628\) 34.5739 + 13.5693i 0.0550540 + 0.0216071i
\(629\) −136.709 + 109.022i −0.217344 + 0.173326i
\(630\) 41.4490 3.10618i 0.0657921 0.00493044i
\(631\) 123.460 + 400.248i 0.195658 + 0.634308i 0.999235 + 0.0391069i \(0.0124513\pi\)
−0.803577 + 0.595201i \(0.797073\pi\)
\(632\) −105.740 + 701.541i −0.167310 + 1.11003i
\(633\) −633.558 587.856i −1.00088 0.928683i
\(634\) −49.3988 102.578i −0.0779161 0.161794i
\(635\) −105.125 697.458i −0.165551 1.09836i
\(636\) 43.2636 63.4560i 0.0680245 0.0997736i
\(637\) −525.092 + 658.445i −0.824321 + 1.03367i
\(638\) −52.0669 90.1825i −0.0816096 0.141352i
\(639\) −48.7487 28.1451i −0.0762891 0.0440455i
\(640\) 49.8756 + 127.081i 0.0779306 + 0.198564i
\(641\) −382.841 + 794.977i −0.597255 + 1.24021i 0.354987 + 0.934871i \(0.384485\pi\)
−0.952243 + 0.305342i \(0.901229\pi\)
\(642\) −697.037 215.007i −1.08573 0.334903i
\(643\) −199.621 + 874.597i −0.310453 + 1.36018i 0.543316 + 0.839529i \(0.317169\pi\)
−0.853768 + 0.520653i \(0.825688\pi\)
\(644\) 302.573i 0.469834i
\(645\) 221.546 479.554i 0.343482 0.743495i
\(646\) −391.554 −0.606121
\(647\) 665.546 + 151.906i 1.02866 + 0.234786i 0.703368 0.710826i \(-0.251679\pi\)
0.325297 + 0.945612i \(0.394536\pi\)
\(648\) 221.292 717.413i 0.341501 1.10712i
\(649\) −245.082 118.026i −0.377631 0.181857i
\(650\) −213.154 + 83.6567i −0.327929 + 0.128703i
\(651\) −412.244 + 714.027i −0.633247 + 1.09682i
\(652\) 86.2543 49.7990i 0.132292 0.0763788i
\(653\) 939.695 + 749.382i 1.43904 + 1.14760i 0.963435 + 0.267941i \(0.0863434\pi\)
0.475608 + 0.879657i \(0.342228\pi\)
\(654\) −333.532 227.398i −0.509988 0.347704i
\(655\) 54.6728 8.24060i 0.0834700 0.0125811i
\(656\) 140.027 67.4335i 0.213456 0.102795i
\(657\) 13.7824 14.8539i 0.0209778 0.0226087i
\(658\) 1148.75 + 173.147i 1.74583 + 0.263141i
\(659\) 703.613 217.036i 1.06770 0.329341i 0.289382 0.957214i \(-0.406550\pi\)
0.778316 + 0.627873i \(0.216074\pi\)
\(660\) 14.1525 + 188.852i 0.0214432 + 0.286139i
\(661\) 529.293 + 663.713i 0.800746 + 1.00410i 0.999710 + 0.0240969i \(0.00767104\pi\)
−0.198964 + 0.980007i \(0.563758\pi\)
\(662\) −17.6659 + 45.0120i −0.0266857 + 0.0679940i
\(663\) −250.732 270.224i −0.378178 0.407578i
\(664\) −576.217 845.155i −0.867796 1.27282i
\(665\) 1213.96 + 90.9735i 1.82550 + 0.136802i
\(666\) −5.00465 21.9268i −0.00751449 0.0329231i
\(667\) −118.057 + 26.9457i −0.176997 + 0.0403983i
\(668\) 1.95612 26.1026i 0.00292833 0.0390758i
\(669\) 635.105 433.007i 0.949335 0.647246i
\(670\) 378.683 351.367i 0.565199 0.524428i
\(671\) −853.561 334.998i −1.27207 0.499252i
\(672\) −492.921 + 393.091i −0.733513 + 0.584957i
\(673\) 126.480 9.47834i 0.187934 0.0140837i 0.0195695 0.999808i \(-0.493770\pi\)
0.168365 + 0.985725i \(0.446151\pi\)
\(674\) 128.111 + 415.327i 0.190076 + 0.616212i
\(675\) 36.0787 239.367i 0.0534500 0.354617i
\(676\) −51.7105 47.9804i −0.0764949 0.0709769i
\(677\) 252.899 + 525.149i 0.373558 + 0.775701i 0.999993 0.00377281i \(-0.00120093\pi\)
−0.626435 + 0.779474i \(0.715487\pi\)
\(678\) −92.0388 610.637i −0.135750 0.900645i
\(679\) −522.515 + 766.389i −0.769536 + 1.12870i
\(680\) −170.961 + 214.378i −0.251413 + 0.315262i
\(681\) 486.072 + 841.902i 0.713763 + 1.23627i
\(682\) 438.911 + 253.406i 0.643565 + 0.371562i
\(683\) −1.87901 4.78764i −0.00275111 0.00700973i 0.929492 0.368843i \(-0.120246\pi\)
−0.932243 + 0.361834i \(0.882151\pi\)
\(684\) −10.4667 + 21.7344i −0.0153022 + 0.0317754i
\(685\) −581.699 179.430i −0.849196 0.261942i
\(686\) 27.5665 120.777i 0.0401844 0.176059i
\(687\) 51.5215i 0.0749948i
\(688\) −64.7962 387.640i −0.0941805 0.563431i
\(689\) −285.700 −0.414658
\(690\) −448.237 102.307i −0.649619 0.148271i
\(691\) −17.1975 + 55.7530i −0.0248879 + 0.0806845i −0.967165 0.254150i \(-0.918204\pi\)
0.942277 + 0.334835i \(0.108680\pi\)
\(692\) −164.732 79.3306i −0.238051 0.114640i
\(693\) 70.6911 27.7442i 0.102007 0.0400349i
\(694\) −80.4531 + 139.349i −0.115927 + 0.200791i
\(695\) 219.150 126.526i 0.315323 0.182052i
\(696\) −112.382 89.6218i −0.161469 0.128767i
\(697\) 111.695 + 76.1521i 0.160251 + 0.109257i
\(698\) 217.555 32.7911i 0.311683 0.0469787i
\(699\) −10.7056 + 5.15555i −0.0153156 + 0.00737561i
\(700\) −84.2365 + 90.7853i −0.120338 + 0.129693i
\(701\) −491.412 74.0685i −0.701016 0.105661i −0.211143 0.977455i \(-0.567719\pi\)
−0.489873 + 0.871794i \(0.662957\pi\)
\(702\) −610.496 + 188.313i −0.869653 + 0.268252i
\(703\) −49.2252 656.864i −0.0700216 0.934373i
\(704\) 512.884 + 643.137i 0.728529 + 0.913546i
\(705\) 308.914 787.099i 0.438176 1.11645i
\(706\) −155.985 168.111i −0.220941 0.238118i
\(707\) −279.776 410.357i −0.395723 0.580419i
\(708\) −91.6006 6.86452i −0.129379 0.00969565i
\(709\) 268.425 + 1176.05i 0.378597 + 1.65874i 0.701771 + 0.712403i \(0.252393\pi\)
−0.323174 + 0.946340i \(0.604750\pi\)
\(710\) 574.858 131.208i 0.809660 0.184799i
\(711\) 3.78543 50.5131i 0.00532410 0.0710451i
\(712\) −1161.49 + 791.892i −1.63131 + 1.11221i
\(713\) 432.023 400.859i 0.605923 0.562215i
\(714\) 387.463 + 152.068i 0.542665 + 0.212980i
\(715\) 550.799 439.248i 0.770348 0.614332i
\(716\) 225.888 16.9280i 0.315487 0.0236425i
\(717\) 136.377 + 442.122i 0.190204 + 0.616627i
\(718\) 70.8752 470.226i 0.0987120 0.654911i
\(719\) −144.351 133.938i −0.200766 0.186284i 0.573382 0.819288i \(-0.305631\pi\)
−0.774148 + 0.633004i \(0.781822\pi\)
\(720\) −9.76575 20.2788i −0.0135635 0.0281650i
\(721\) −308.223 2044.92i −0.427493 2.83623i
\(722\) 496.475 728.195i 0.687639 1.00858i
\(723\) −23.3181 + 29.2400i −0.0322519 + 0.0404426i
\(724\) −132.471 229.447i −0.182971 0.316915i
\(725\) −42.9239 24.7821i −0.0592054 0.0341822i
\(726\) −38.4005 97.8429i −0.0528933 0.134770i
\(727\) 251.921 523.119i 0.346521 0.719559i −0.652756 0.757568i \(-0.726387\pi\)
0.999277 + 0.0380094i \(0.0121017\pi\)
\(728\) 1276.74 + 393.823i 1.75377 + 0.540965i
\(729\) 149.516 655.070i 0.205097 0.898588i
\(730\) 212.257i 0.290762i
\(731\) 263.821 217.396i 0.360904 0.297396i
\(732\) −309.639 −0.423004
\(733\) −456.776 104.256i −0.623160 0.142232i −0.100729 0.994914i \(-0.532118\pi\)
−0.522431 + 0.852682i \(0.674975\pi\)
\(734\) 5.81413 18.8490i 0.00792116 0.0256798i
\(735\) −623.590 300.305i −0.848422 0.408578i
\(736\) 419.511 164.646i 0.569988 0.223704i
\(737\) 471.905 817.364i 0.640306 1.10904i
\(738\) −15.0583 + 8.69389i −0.0204041 + 0.0117803i
\(739\) 698.122 + 556.734i 0.944685 + 0.753361i 0.969184 0.246339i \(-0.0792275\pi\)
−0.0244987 + 0.999700i \(0.507799\pi\)
\(740\) −93.2380 63.5686i −0.125997 0.0859035i
\(741\) 1373.15 206.969i 1.85311 0.279311i
\(742\) 290.649 139.969i 0.391711 0.188638i
\(743\) −519.583 + 559.977i −0.699304 + 0.753671i −0.978429 0.206584i \(-0.933765\pi\)
0.279125 + 0.960255i \(0.409956\pi\)
\(744\) 691.768 + 104.267i 0.929796 + 0.140144i
\(745\) 199.912 61.6648i 0.268339 0.0827716i
\(746\) 47.4466 + 633.130i 0.0636013 + 0.848700i
\(747\) 45.5354 + 57.0996i 0.0609577 + 0.0764385i
\(748\) −44.7743 + 114.083i −0.0598587 + 0.152518i
\(749\) 998.234 + 1075.84i 1.33276 + 1.43637i
\(750\) −390.532 572.805i −0.520710 0.763741i
\(751\) −400.698 30.0282i −0.533553 0.0399843i −0.194770 0.980849i \(-0.562396\pi\)
−0.338783 + 0.940865i \(0.610015\pi\)
\(752\) −139.984 613.310i −0.186149 0.815571i
\(753\) −1210.41 + 276.269i −1.60746 + 0.366891i
\(754\) −9.77556 + 130.446i −0.0129649 + 0.173005i
\(755\) −24.1073 + 16.4361i −0.0319302 + 0.0217697i
\(756\) −253.299 + 235.027i −0.335051 + 0.310882i
\(757\) −891.825 350.016i −1.17810 0.462372i −0.306162 0.951980i \(-0.599045\pi\)
−0.871943 + 0.489608i \(0.837140\pi\)
\(758\) −629.876 + 502.309i −0.830970 + 0.662677i
\(759\) −837.649 + 62.7731i −1.10362 + 0.0827051i
\(760\) −304.464 987.047i −0.400610 1.29875i
\(761\) 143.484 951.954i 0.188547 1.25093i −0.671613 0.740902i \(-0.734398\pi\)
0.860160 0.510024i \(-0.170363\pi\)
\(762\) 665.974 + 617.933i 0.873981 + 0.810936i
\(763\) 352.392 + 731.750i 0.461851 + 0.959043i
\(764\) −30.6758 203.521i −0.0401516 0.266388i
\(765\) 11.0284 16.1757i 0.0144162 0.0211447i
\(766\) −321.081 + 402.623i −0.419166 + 0.525617i
\(767\) 170.855 + 295.929i 0.222757 + 0.385827i
\(768\) 590.515 + 340.934i 0.768900 + 0.443925i
\(769\) 140.030 + 356.790i 0.182093 + 0.463966i 0.992551 0.121832i \(-0.0388768\pi\)
−0.810458 + 0.585797i \(0.800782\pi\)
\(770\) −345.146 + 716.703i −0.448242 + 0.930784i
\(771\) −427.443 131.849i −0.554401 0.171010i
\(772\) −63.1572 + 276.710i −0.0818099 + 0.358432i
\(773\) 1477.43i 1.91129i −0.294519 0.955646i \(-0.595159\pi\)
0.294519 0.955646i \(-0.404841\pi\)
\(774\) 10.4699 + 42.7051i 0.0135269 + 0.0551746i
\(775\) 241.225 0.311258
\(776\) 767.310 + 175.133i 0.988801 + 0.225687i
\(777\) −206.396 + 669.119i −0.265632 + 0.861157i
\(778\) 338.114 + 162.827i 0.434594 + 0.209290i
\(779\) −474.050 + 186.051i −0.608536 + 0.238833i
\(780\) 118.949 206.026i 0.152499 0.264136i
\(781\) 932.958 538.644i 1.19457 0.689685i
\(782\) −232.617 185.506i −0.297464 0.237220i
\(783\) −114.259 77.9006i −0.145925 0.0994899i
\(784\) −509.190 + 76.7480i −0.649477 + 0.0978929i
\(785\) 102.304 49.2670i 0.130324 0.0627606i
\(786\) −48.4390 + 52.2048i −0.0616272 + 0.0664184i
\(787\) 1036.24 + 156.188i 1.31670 + 0.198460i 0.769555 0.638580i \(-0.220478\pi\)
0.547141 + 0.837040i \(0.315716\pi\)
\(788\) −338.589 + 104.441i −0.429682 + 0.132539i
\(789\) −38.2188 509.994i −0.0484395 0.646380i
\(790\) 330.830 + 414.848i 0.418772 + 0.525124i
\(791\) −453.921 + 1156.57i −0.573858 + 1.46217i
\(792\) −43.8276 47.2349i −0.0553379 0.0596401i
\(793\) 648.864 + 951.708i 0.818239 + 1.20014i
\(794\) −913.953 68.4913i −1.15107 0.0862611i
\(795\) −52.2473 228.910i −0.0657199 0.287937i
\(796\) −235.916 + 53.8464i −0.296377 + 0.0676462i
\(797\) 10.4422 139.341i 0.0131019 0.174832i −0.986814 0.161859i \(-0.948251\pi\)
0.999916 0.0129737i \(-0.00412978\pi\)
\(798\) −1295.54 + 883.286i −1.62349 + 1.10687i
\(799\) 401.113 372.178i 0.502019 0.465805i
\(800\) 171.709 + 67.3909i 0.214637 + 0.0842386i
\(801\) 78.4717 62.5791i 0.0979672 0.0781262i
\(802\) −1156.50 + 86.6677i −1.44202 + 0.108065i
\(803\) 114.305 + 370.568i 0.142348 + 0.461480i
\(804\) 47.5014 315.151i 0.0590813 0.391979i
\(805\) 678.095 + 629.180i 0.842354 + 0.781591i
\(806\) −276.232 573.602i −0.342720 0.711665i
\(807\) 114.640 + 760.588i 0.142057 + 0.942488i
\(808\) −237.392 + 348.190i −0.293802 + 0.430928i
\(809\) −791.854 + 992.954i −0.978806 + 1.22738i −0.00500405 + 0.999987i \(0.501593\pi\)
−0.973802 + 0.227397i \(0.926979\pi\)
\(810\) −280.750 486.274i −0.346605 0.600338i
\(811\) −1046.09 603.962i −1.28988 0.744712i −0.311247 0.950329i \(-0.600747\pi\)
−0.978633 + 0.205617i \(0.934080\pi\)
\(812\) 25.8478 + 65.8591i 0.0318322 + 0.0811072i
\(813\) 43.2433 89.7957i 0.0531898 0.110450i
\(814\) 411.307 + 126.871i 0.505291 + 0.155861i
\(815\) 67.7558 296.858i 0.0831360 0.364242i
\(816\) 225.394i 0.276218i
\(817\) 116.802 + 1282.48i 0.142964 + 1.56974i
\(818\) −287.976 −0.352049
\(819\) −93.0038 21.2275i −0.113558 0.0259188i
\(820\) −25.7152 + 83.3667i −0.0313600 + 0.101667i
\(821\) −375.161 180.668i −0.456956 0.220059i 0.191223 0.981547i \(-0.438755\pi\)
−0.648179 + 0.761488i \(0.724469\pi\)
\(822\) 729.881 286.457i 0.887933 0.348488i
\(823\) −284.823 + 493.327i −0.346078 + 0.599425i −0.985549 0.169390i \(-0.945820\pi\)
0.639471 + 0.768815i \(0.279154\pi\)
\(824\) −1519.64 + 877.364i −1.84422 + 1.06476i
\(825\) −268.808 214.367i −0.325828 0.259839i
\(826\) −318.795 217.351i −0.385951 0.263137i
\(827\) 31.0704 4.68311i 0.0375700 0.00566277i −0.130230 0.991484i \(-0.541572\pi\)
0.167800 + 0.985821i \(0.446334\pi\)
\(828\) −16.5152 + 7.95331i −0.0199459 + 0.00960544i
\(829\) 213.155 229.726i 0.257123 0.277113i −0.591277 0.806469i \(-0.701376\pi\)
0.848400 + 0.529356i \(0.177566\pi\)
\(830\) −756.480 114.021i −0.911422 0.137375i
\(831\) 407.662 125.747i 0.490568 0.151320i
\(832\) −77.2218 1030.45i −0.0928147 1.23853i
\(833\) −279.262 350.183i −0.335248 0.420388i
\(834\) −119.079 + 303.408i −0.142781 + 0.363799i
\(835\) −54.4309 58.6625i −0.0651867 0.0702545i
\(836\) −260.071 381.454i −0.311090 0.456285i
\(837\) 671.157 + 50.2962i 0.801860 + 0.0600911i
\(838\) 6.51789 + 28.5567i 0.00777791 + 0.0340772i
\(839\) 49.1480 11.2177i 0.0585793 0.0133703i −0.193131 0.981173i \(-0.561864\pi\)
0.251710 + 0.967803i \(0.419007\pi\)
\(840\) −82.0574 + 1094.98i −0.0976874 + 1.30355i
\(841\) 671.472 457.802i 0.798421 0.544354i
\(842\) 372.565 345.690i 0.442477 0.410558i
\(843\) 909.684 + 357.025i 1.07910 + 0.423517i
\(844\) 282.202 225.049i 0.334363 0.266645i
\(845\) −215.057 + 16.1163i −0.254505 + 0.0190725i
\(846\) 20.7449 + 67.2532i 0.0245211 + 0.0794955i
\(847\) −31.5187 + 209.113i −0.0372122 + 0.246887i
\(848\) −128.055 118.818i −0.151008 0.140115i
\(849\) −439.907 913.477i −0.518147 1.07594i
\(850\) −18.1505 120.421i −0.0213535 0.141671i
\(851\) 281.957 413.555i 0.331325 0.485964i
\(852\) 226.816 284.418i 0.266216 0.333824i
\(853\) −191.507 331.700i −0.224510 0.388862i 0.731663 0.681667i \(-0.238745\pi\)
−0.956172 + 0.292805i \(0.905411\pi\)
\(854\) −1126.36 650.306i −1.31893 0.761482i
\(855\) 26.9440 + 68.6521i 0.0315134 + 0.0802949i
\(856\) 540.308 1121.96i 0.631201 1.31070i
\(857\) 315.683 + 97.3753i 0.368358 + 0.113623i 0.473408 0.880844i \(-0.343024\pi\)
−0.105049 + 0.994467i \(0.533500\pi\)
\(858\) −201.919 + 884.665i −0.235337 + 1.03108i
\(859\) 189.947i 0.221126i −0.993869 0.110563i \(-0.964735\pi\)
0.993869 0.110563i \(-0.0352654\pi\)
\(860\) 184.251 + 121.341i 0.214245 + 0.141095i
\(861\) 541.354 0.628750
\(862\) 1038.12 + 236.944i 1.20431 + 0.274877i
\(863\) 271.629 880.600i 0.314750 1.02039i −0.650597 0.759423i \(-0.725481\pi\)
0.965347 0.260971i \(-0.0840425\pi\)
\(864\) 463.692 + 223.302i 0.536681 + 0.258452i
\(865\) −520.335 + 204.217i −0.601544 + 0.236089i
\(866\) 274.958 476.241i 0.317503 0.549932i
\(867\) −606.564 + 350.200i −0.699612 + 0.403921i
\(868\) −269.211 214.688i −0.310151 0.247337i
\(869\) 800.985 + 546.103i 0.921732 + 0.628427i
\(870\) −106.304 + 16.0228i −0.122189 + 0.0184170i
\(871\) −1068.19 + 514.414i −1.22640 + 0.590601i
\(872\) 468.734 505.176i 0.537539 0.579330i
\(873\) −55.5660 8.37523i −0.0636495 0.00959362i
\(874\) 1071.02 330.366i 1.22542 0.377994i
\(875\) 104.236 + 1390.93i 0.119127 + 1.58964i
\(876\) 81.6481 + 102.383i 0.0932056 + 0.116876i
\(877\) 124.195 316.443i 0.141613 0.360825i −0.842417 0.538826i \(-0.818868\pi\)
0.984030 + 0.178001i \(0.0569632\pi\)
\(878\) 26.0025 + 28.0240i 0.0296156 + 0.0319180i
\(879\) 200.721 + 294.404i 0.228352 + 0.334931i
\(880\) 429.552 + 32.1905i 0.488127 + 0.0365801i
\(881\) −87.7198 384.326i −0.0995685 0.436238i −0.999999 0.00123863i \(-0.999606\pi\)
0.900431 0.434999i \(-0.143251\pi\)
\(882\) 56.1658 12.8195i 0.0636801 0.0145346i
\(883\) −57.7319 + 770.378i −0.0653815 + 0.872455i 0.864037 + 0.503428i \(0.167928\pi\)
−0.929419 + 0.369027i \(0.879691\pi\)
\(884\) 127.201 86.7242i 0.143893 0.0981043i
\(885\) −205.861 + 191.011i −0.232612 + 0.215832i
\(886\) 28.4686 + 11.1731i 0.0321316 + 0.0126107i
\(887\) 1153.83 920.150i 1.30082 1.03737i 0.304430 0.952535i \(-0.401534\pi\)
0.996395 0.0848379i \(-0.0270373\pi\)
\(888\) 592.486 44.4007i 0.667214 0.0500008i
\(889\) −538.772 1746.65i −0.606042 1.96474i
\(890\) −156.699 + 1039.63i −0.176066 + 1.16812i
\(891\) −752.018 697.771i −0.844016 0.783132i
\(892\) 139.286 + 289.231i 0.156151 + 0.324250i
\(893\) 307.219 + 2038.26i 0.344030 + 2.28249i
\(894\) −151.795 + 222.642i −0.169793 + 0.249041i
\(895\) 431.782 541.438i 0.482438 0.604959i
\(896\) 176.892 + 306.385i 0.197424 + 0.341948i
\(897\) 913.826 + 527.598i 1.01876 + 0.588180i
\(898\) 90.0826 + 229.527i 0.100315 + 0.255598i
\(899\) 59.7916 124.159i 0.0665090 0.138107i
\(900\) −7.16949 2.21150i −0.00796610 0.00245722i
\(901\) 33.8109 148.135i 0.0375260 0.164412i
\(902\) 332.769i 0.368924i
\(903\) 382.496 1314.44i 0.423583 1.45564i
\(904\) 1054.23 1.16619
\(905\) −789.677 180.239i −0.872571 0.199159i
\(906\) 11.0772 35.9115i 0.0122265 0.0396374i
\(907\) −1272.24 612.677i −1.40269 0.675498i −0.428981 0.903313i \(-0.641127\pi\)
−0.973704 + 0.227815i \(0.926842\pi\)
\(908\) −377.935 + 148.328i −0.416228 + 0.163357i
\(909\) 15.0442 26.0573i 0.0165503 0.0286660i
\(910\) 865.396 499.636i 0.950984 0.549051i
\(911\) 116.400 + 92.8263i 0.127772 + 0.101895i 0.685291 0.728269i \(-0.259675\pi\)
−0.557519 + 0.830164i \(0.688247\pi\)
\(912\) 701.542 + 478.303i 0.769234 + 0.524455i
\(913\) −1382.10 + 208.319i −1.51381 + 0.228169i
\(914\) −472.076 + 227.340i −0.516495 + 0.248731i
\(915\) −643.873 + 693.931i −0.703687 + 0.758394i
\(916\) 21.2767 + 3.20695i 0.0232279 + 0.00350104i
\(917\) 136.918 42.2336i 0.149311 0.0460563i
\(918\) −25.3917 338.828i −0.0276598 0.369094i
\(919\) −799.562 1002.62i −0.870035 1.09099i −0.995103 0.0988413i \(-0.968486\pi\)
0.125068 0.992148i \(-0.460085\pi\)
\(920\) 286.754 730.637i 0.311689 0.794170i
\(921\) −119.601 128.899i −0.129860 0.139956i
\(922\) −0.293863 0.431018i −0.000318724 0.000467482i
\(923\) −1349.49 101.130i −1.46207 0.109567i
\(924\) 109.208 + 478.473i 0.118191 + 0.517828i
\(925\) 199.734 45.5879i 0.215928 0.0492842i
\(926\) 98.7045 1317.12i 0.106592 1.42238i
\(927\) 103.515 70.5755i 0.111667 0.0761333i
\(928\) 77.2470 71.6747i 0.0832403 0.0772357i
\(929\) 309.604 + 121.511i 0.333266 + 0.130797i 0.526073 0.850439i \(-0.323664\pi\)
−0.192807 + 0.981237i \(0.561759\pi\)
\(930\) 409.069 326.222i 0.439859 0.350776i
\(931\) 1682.57 126.091i 1.80727 0.135436i
\(932\) −1.46271 4.74199i −0.00156943 0.00508797i
\(933\) −1.84331 + 12.2296i −0.00197568 + 0.0131078i
\(934\) 552.032 + 512.211i 0.591041 + 0.548406i
\(935\) 162.566 + 337.572i 0.173867 + 0.361039i
\(936\) 12.0640 + 80.0396i 0.0128889 + 0.0855124i
\(937\) −449.163 + 658.801i −0.479363 + 0.703096i −0.987401 0.158239i \(-0.949418\pi\)
0.508038 + 0.861334i \(0.330371\pi\)
\(938\) 834.677 1046.65i 0.889847 1.11583i
\(939\) −506.752 877.721i −0.539672 0.934740i
\(940\) 305.819 + 176.565i 0.325339 + 0.187835i
\(941\) 325.062 + 828.244i 0.345443 + 0.880174i 0.992995 + 0.118153i \(0.0376974\pi\)
−0.647553 + 0.762021i \(0.724207\pi\)
\(942\) −63.4575 + 131.771i −0.0673646 + 0.139884i
\(943\) −369.771 114.059i −0.392122 0.120954i
\(944\) −46.4921 + 203.695i −0.0492501 + 0.215779i
\(945\) 1056.39i 1.11787i
\(946\) −807.986 235.120i −0.854107 0.248541i
\(947\) −444.154 −0.469012 −0.234506 0.972115i \(-0.575347\pi\)
−0.234506 + 0.972115i \(0.575347\pi\)
\(948\) 319.156 + 72.8454i 0.336663 + 0.0768411i
\(949\) 143.589 465.503i 0.151305 0.490520i
\(950\) 413.328 + 199.048i 0.435082 + 0.209524i
\(951\) −199.901 + 78.4553i −0.210201 + 0.0824977i
\(952\) −355.292 + 615.384i −0.373206 + 0.646411i
\(953\) 51.9762 30.0085i 0.0545396 0.0314884i −0.472482 0.881340i \(-0.656642\pi\)
0.527022 + 0.849852i \(0.323309\pi\)
\(954\) 15.2798 + 12.1852i 0.0160165 + 0.0127727i
\(955\) −519.897 354.460i −0.544395 0.371162i
\(956\) −191.071 + 28.7994i −0.199865 + 0.0301248i
\(957\) −176.963 + 85.2209i −0.184914 + 0.0890500i
\(958\) −220.874 + 238.045i −0.230557 + 0.248481i
\(959\) −1559.93 235.121i −1.62662 0.245173i
\(960\) 811.505 250.316i 0.845318 0.260746i
\(961\) −21.6950 289.499i −0.0225754 0.301248i
\(962\) −337.121 422.736i −0.350437 0.439435i
\(963\) −32.4829 + 82.7652i −0.0337310 + 0.0859452i
\(964\) −10.6238 11.4497i −0.0110205 0.0118773i
\(965\) 488.802 + 716.941i 0.506530 + 0.742944i
\(966\) −1188.14 89.0385i −1.22995 0.0921724i
\(967\) 133.558 + 585.157i 0.138116 + 0.605127i 0.995848 + 0.0910295i \(0.0290157\pi\)
−0.857732 + 0.514097i \(0.828127\pi\)
\(968\) 174.939 39.9287i 0.180722 0.0412487i
\(969\) −55.1910 + 736.472i −0.0569566 + 0.760033i
\(970\) 486.350 331.588i 0.501392 0.341843i
\(971\) −199.723 + 185.316i −0.205688 + 0.190851i −0.776290 0.630376i \(-0.782901\pi\)
0.570602 + 0.821227i \(0.306710\pi\)
\(972\) −40.4191 15.8633i −0.0415834 0.0163203i
\(973\) 512.709 408.872i 0.526936 0.420217i
\(974\) −1074.74 + 80.5407i −1.10343 + 0.0826907i
\(975\) 127.305 + 412.712i 0.130569 + 0.423294i
\(976\) −104.969 + 696.421i −0.107550 + 0.713546i
\(977\) −553.754 513.809i −0.566790 0.525904i 0.343894 0.939009i \(-0.388254\pi\)
−0.910684 + 0.413104i \(0.864445\pi\)
\(978\) 170.167 + 353.356i 0.173995 + 0.361304i
\(979\) 286.292 + 1899.42i 0.292433 + 1.94016i
\(980\) 162.832 238.831i 0.166155 0.243705i
\(981\) −30.6779 + 38.4689i −0.0312721 + 0.0392140i
\(982\) 200.026 + 346.455i 0.203692 + 0.352805i
\(983\) −690.679 398.764i −0.702624 0.405660i 0.105700 0.994398i \(-0.466292\pi\)
−0.808324 + 0.588738i \(0.799625\pi\)
\(984\) −167.816 427.589i −0.170545 0.434542i
\(985\) −470.011 + 975.988i −0.477169 + 0.990851i
\(986\) −66.4793 20.5061i −0.0674232 0.0207973i
\(987\) 487.592 2136.28i 0.494015 2.16442i
\(988\) 579.951i 0.586995i
\(989\) −538.207 + 817.240i −0.544193 + 0.826330i
\(990\) −48.1918 −0.0486786
\(991\) 115.026 + 26.2538i 0.116070 + 0.0264923i 0.280161 0.959953i \(-0.409612\pi\)
−0.164091 + 0.986445i \(0.552469\pi\)
\(992\) −151.169 + 490.078i −0.152388 + 0.494030i
\(993\) 82.1728 + 39.5723i 0.0827521 + 0.0398513i
\(994\) 1422.42 558.257i 1.43100 0.561627i
\(995\) −369.897 + 640.681i −0.371756 + 0.643900i
\(996\) −408.753 + 235.994i −0.410395 + 0.236942i
\(997\) 37.9995 + 30.3036i 0.0381138 + 0.0303947i 0.642361 0.766402i \(-0.277955\pi\)
−0.604248 + 0.796797i \(0.706526\pi\)
\(998\) −423.211 288.541i −0.424059 0.289119i
\(999\) 565.220 85.1932i 0.565786 0.0852785i
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 43.3.h.a.5.2 72
3.2 odd 2 387.3.bn.b.91.5 72
43.26 odd 42 inner 43.3.h.a.26.2 yes 72
129.26 even 42 387.3.bn.b.370.5 72
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
43.3.h.a.5.2 72 1.1 even 1 trivial
43.3.h.a.26.2 yes 72 43.26 odd 42 inner
387.3.bn.b.91.5 72 3.2 odd 2
387.3.bn.b.370.5 72 129.26 even 42