Properties

Label 32.6.g.a.5.1
Level $32$
Weight $6$
Character 32.5
Analytic conductor $5.132$
Analytic rank $0$
Dimension $76$
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] = [32,6,Mod(5,32)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(32, base_ring=CyclotomicField(8))
 
chi = DirichletCharacter(H, H._module([0, 1]))
 
N = Newforms(chi, 6, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("32.5");
 
S:= CuspForms(chi, 6);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 32 = 2^{5} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 32.g (of order \(8\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.13228223402\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(19\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) \(=\) 32.5
Dual form 32.6.g.a.13.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-5.53109 + 1.18618i) q^{2} +(7.44181 + 17.9661i) q^{3} +(29.1860 - 13.1217i) q^{4} +(29.7710 + 12.3316i) q^{5} +(-62.4723 - 90.5449i) q^{6} +(32.2015 + 32.2015i) q^{7} +(-145.866 + 107.197i) q^{8} +(-95.5738 + 95.5738i) q^{9} +O(q^{10})\) \(q+(-5.53109 + 1.18618i) q^{2} +(7.44181 + 17.9661i) q^{3} +(29.1860 - 13.1217i) q^{4} +(29.7710 + 12.3316i) q^{5} +(-62.4723 - 90.5449i) q^{6} +(32.2015 + 32.2015i) q^{7} +(-145.866 + 107.197i) q^{8} +(-95.5738 + 95.5738i) q^{9} +(-179.294 - 32.8933i) q^{10} +(-264.516 + 638.598i) q^{11} +(452.943 + 426.709i) q^{12} +(-289.898 + 120.079i) q^{13} +(-216.306 - 139.913i) q^{14} +626.638i q^{15} +(679.641 - 765.940i) q^{16} -556.009i q^{17} +(415.260 - 641.995i) q^{18} +(-397.755 + 164.755i) q^{19} +(1030.71 - 30.7382i) q^{20} +(-338.898 + 818.173i) q^{21} +(705.572 - 3845.91i) q^{22} +(1123.74 - 1123.74i) q^{23} +(-3011.42 - 1822.90i) q^{24} +(-1475.46 - 1475.46i) q^{25} +(1461.01 - 1008.04i) q^{26} +(1937.43 + 802.511i) q^{27} +(1362.37 + 517.293i) q^{28} +(2907.33 + 7018.91i) q^{29} +(-743.304 - 3465.99i) q^{30} +9420.84 q^{31} +(-2850.62 + 5042.66i) q^{32} -13441.6 q^{33} +(659.525 + 3075.34i) q^{34} +(561.576 + 1355.76i) q^{35} +(-1535.32 + 4043.51i) q^{36} +(-4987.93 - 2066.07i) q^{37} +(2004.59 - 1383.08i) q^{38} +(-4314.72 - 4314.72i) q^{39} +(-5664.47 + 1392.62i) q^{40} +(150.299 - 150.299i) q^{41} +(903.980 - 4927.38i) q^{42} +(8133.92 - 19637.0i) q^{43} +(659.344 + 22109.0i) q^{44} +(-4023.90 + 1666.75i) q^{45} +(-4882.56 + 7548.48i) q^{46} +16789.3i q^{47} +(18818.7 + 6510.54i) q^{48} -14733.1i q^{49} +(9911.09 + 6410.76i) q^{50} +(9989.32 - 4137.71i) q^{51} +(-6885.29 + 7308.59i) q^{52} +(10832.9 - 26152.9i) q^{53} +(-11668.0 - 2140.62i) q^{54} +(-15749.8 + 15749.8i) q^{55} +(-8148.99 - 1245.18i) q^{56} +(-5920.03 - 5920.03i) q^{57} +(-24406.4 - 35373.6i) q^{58} +(33329.5 + 13805.5i) q^{59} +(8222.57 + 18289.0i) q^{60} +(5376.72 + 12980.5i) q^{61} +(-52107.5 + 11174.8i) q^{62} -6155.24 q^{63} +(9785.55 - 31272.7i) q^{64} -10111.3 q^{65} +(74346.7 - 15944.1i) q^{66} +(-11363.9 - 27434.9i) q^{67} +(-7295.79 - 16227.7i) q^{68} +(28551.9 + 11826.6i) q^{69} +(-4714.30 - 6832.73i) q^{70} +(-16553.4 - 16553.4i) q^{71} +(3695.69 - 24186.2i) q^{72} +(4830.08 - 4830.08i) q^{73} +(30039.4 + 5511.05i) q^{74} +(15528.2 - 37488.5i) q^{75} +(-9446.98 + 10027.8i) q^{76} +(-29081.6 + 12046.0i) q^{77} +(28983.2 + 18747.1i) q^{78} +37958.6i q^{79} +(29678.8 - 14421.8i) q^{80} +73624.6i q^{81} +(-653.036 + 1009.60i) q^{82} +(-9998.07 + 4141.34i) q^{83} +(844.753 + 28326.1i) q^{84} +(6856.45 - 16552.9i) q^{85} +(-21696.5 + 118262. i) q^{86} +(-104467. + 104467. i) q^{87} +(-29872.1 - 121505. i) q^{88} +(-54005.0 - 54005.0i) q^{89} +(20279.5 - 13992.0i) q^{90} +(-13201.9 - 5468.39i) q^{91} +(18052.1 - 47542.9i) q^{92} +(70108.1 + 169256. i) q^{93} +(-19915.1 - 92863.4i) q^{94} -13873.2 q^{95} +(-111811. - 13688.1i) q^{96} +30631.2 q^{97} +(17476.1 + 81490.3i) q^{98} +(-35752.4 - 86314.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 76 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} - 204 q^{10} - 4 q^{11} - 1588 q^{12} - 4 q^{13} + 2476 q^{14} + 4176 q^{16} - 1624 q^{18} - 4 q^{19} - 7604 q^{20} - 4 q^{21} - 12384 q^{22} + 1668 q^{23} + 21456 q^{24} - 4 q^{25} + 12976 q^{26} - 7468 q^{27} - 2184 q^{28} - 4 q^{29} - 32316 q^{30} + 23056 q^{31} - 18584 q^{32} - 8 q^{33} - 6256 q^{34} - 4780 q^{35} + 65584 q^{36} - 4 q^{37} + 404 q^{38} - 44908 q^{39} - 28952 q^{40} - 4 q^{41} - 53624 q^{42} + 32068 q^{43} + 3716 q^{44} + 968 q^{45} + 63324 q^{46} + 112368 q^{48} - 4524 q^{50} - 19912 q^{51} + 18468 q^{52} - 49460 q^{53} + 1312 q^{54} + 110044 q^{55} - 80984 q^{56} - 4 q^{57} - 84576 q^{58} - 28964 q^{59} - 46088 q^{60} + 96156 q^{61} + 63480 q^{62} - 158768 q^{63} - 49192 q^{64} - 8 q^{65} - 145012 q^{66} - 61164 q^{67} - 151216 q^{68} - 44644 q^{69} - 56296 q^{70} + 143836 q^{71} + 27092 q^{72} - 4 q^{73} + 213100 q^{74} + 205744 q^{75} + 255996 q^{76} - 14900 q^{77} + 83508 q^{78} - 97096 q^{80} + 435196 q^{82} - 329244 q^{83} + 597472 q^{84} + 12496 q^{85} + 269888 q^{86} - 282188 q^{87} - 199840 q^{88} - 4 q^{89} - 706840 q^{90} + 200108 q^{91} - 650328 q^{92} - 976 q^{93} - 261592 q^{94} + 577592 q^{95} - 501376 q^{96} - 8 q^{97} - 395624 q^{98} + 338544 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(31\)
\(\chi(n)\) \(e\left(\frac{1}{8}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.53109 + 1.18618i −0.977768 + 0.209688i
\(3\) 7.44181 + 17.9661i 0.477392 + 1.15253i 0.960828 + 0.277147i \(0.0893888\pi\)
−0.483435 + 0.875380i \(0.660611\pi\)
\(4\) 29.1860 13.1217i 0.912061 0.410053i
\(5\) 29.7710 + 12.3316i 0.532560 + 0.220593i 0.632724 0.774377i \(-0.281937\pi\)
−0.100164 + 0.994971i \(0.531937\pi\)
\(6\) −62.4723 90.5449i −0.708451 1.02680i
\(7\) 32.2015 + 32.2015i 0.248388 + 0.248388i 0.820309 0.571921i \(-0.193802\pi\)
−0.571921 + 0.820309i \(0.693802\pi\)
\(8\) −145.866 + 107.197i −0.805801 + 0.592186i
\(9\) −95.5738 + 95.5738i −0.393308 + 0.393308i
\(10\) −179.294 32.8933i −0.566976 0.104018i
\(11\) −264.516 + 638.598i −0.659128 + 1.59128i 0.140024 + 0.990148i \(0.455282\pi\)
−0.799152 + 0.601129i \(0.794718\pi\)
\(12\) 452.943 + 426.709i 0.908009 + 0.855419i
\(13\) −289.898 + 120.079i −0.475758 + 0.197065i −0.607660 0.794197i \(-0.707892\pi\)
0.131902 + 0.991263i \(0.457892\pi\)
\(14\) −216.306 139.913i −0.294950 0.190782i
\(15\) 626.638i 0.719099i
\(16\) 679.641 765.940i 0.663712 0.747988i
\(17\) 556.009i 0.466616i −0.972403 0.233308i \(-0.925045\pi\)
0.972403 0.233308i \(-0.0749550\pi\)
\(18\) 415.260 641.995i 0.302092 0.467036i
\(19\) −397.755 + 164.755i −0.252773 + 0.104702i −0.505472 0.862843i \(-0.668682\pi\)
0.252699 + 0.967545i \(0.418682\pi\)
\(20\) 1030.71 30.7382i 0.576182 0.0171832i
\(21\) −338.898 + 818.173i −0.167695 + 0.404852i
\(22\) 705.572 3845.91i 0.310802 1.69411i
\(23\) 1123.74 1123.74i 0.442942 0.442942i −0.450057 0.893000i \(-0.648597\pi\)
0.893000 + 0.450057i \(0.148597\pi\)
\(24\) −3011.42 1822.90i −1.06719 0.646003i
\(25\) −1475.46 1475.46i −0.472148 0.472148i
\(26\) 1461.01 1008.04i 0.423859 0.292445i
\(27\) 1937.43 + 802.511i 0.511467 + 0.211856i
\(28\) 1362.37 + 517.293i 0.328398 + 0.124693i
\(29\) 2907.33 + 7018.91i 0.641947 + 1.54980i 0.824050 + 0.566517i \(0.191710\pi\)
−0.182103 + 0.983279i \(0.558290\pi\)
\(30\) −743.304 3465.99i −0.150787 0.703112i
\(31\) 9420.84 1.76070 0.880350 0.474325i \(-0.157308\pi\)
0.880350 + 0.474325i \(0.157308\pi\)
\(32\) −2850.62 + 5042.66i −0.492112 + 0.870532i
\(33\) −13441.6 −2.14865
\(34\) 659.525 + 3075.34i 0.0978440 + 0.456242i
\(35\) 561.576 + 1355.76i 0.0774887 + 0.187074i
\(36\) −1535.32 + 4043.51i −0.197444 + 0.519998i
\(37\) −4987.93 2066.07i −0.598985 0.248108i 0.0625256 0.998043i \(-0.480084\pi\)
−0.661511 + 0.749935i \(0.730084\pi\)
\(38\) 2004.59 1383.08i 0.225199 0.155378i
\(39\) −4314.72 4314.72i −0.454246 0.454246i
\(40\) −5664.47 + 1392.62i −0.559770 + 0.137620i
\(41\) 150.299 150.299i 0.0139636 0.0139636i −0.700091 0.714054i \(-0.746857\pi\)
0.714054 + 0.700091i \(0.246857\pi\)
\(42\) 903.980 4927.38i 0.0790743 0.431016i
\(43\) 8133.92 19637.0i 0.670855 1.61959i −0.109306 0.994008i \(-0.534863\pi\)
0.780161 0.625579i \(-0.215137\pi\)
\(44\) 659.344 + 22109.0i 0.0513429 + 1.72162i
\(45\) −4023.90 + 1666.75i −0.296221 + 0.122699i
\(46\) −4882.56 + 7548.48i −0.340215 + 0.525975i
\(47\) 16789.3i 1.10864i 0.832305 + 0.554318i \(0.187021\pi\)
−0.832305 + 0.554318i \(0.812979\pi\)
\(48\) 18818.7 + 6510.54i 1.17893 + 0.407863i
\(49\) 14733.1i 0.876607i
\(50\) 9911.09 + 6410.76i 0.560656 + 0.362648i
\(51\) 9989.32 4137.71i 0.537787 0.222759i
\(52\) −6885.29 + 7308.59i −0.353113 + 0.374822i
\(53\) 10832.9 26152.9i 0.529730 1.27888i −0.401971 0.915653i \(-0.631675\pi\)
0.931700 0.363228i \(-0.118325\pi\)
\(54\) −11668.0 2140.62i −0.544520 0.0998978i
\(55\) −15749.8 + 15749.8i −0.702051 + 0.702051i
\(56\) −8148.99 1245.18i −0.347243 0.0530595i
\(57\) −5920.03 5920.03i −0.241344 0.241344i
\(58\) −24406.4 35373.6i −0.952650 1.38073i
\(59\) 33329.5 + 13805.5i 1.24652 + 0.516326i 0.905747 0.423820i \(-0.139311\pi\)
0.340774 + 0.940145i \(0.389311\pi\)
\(60\) 8222.57 + 18289.0i 0.294869 + 0.655863i
\(61\) 5376.72 + 12980.5i 0.185009 + 0.446651i 0.988986 0.148009i \(-0.0472865\pi\)
−0.803977 + 0.594660i \(0.797287\pi\)
\(62\) −52107.5 + 11174.8i −1.72156 + 0.369199i
\(63\) −6155.24 −0.195386
\(64\) 9785.55 31272.7i 0.298631 0.954369i
\(65\) −10111.3 −0.296841
\(66\) 74346.7 15944.1i 2.10088 0.450548i
\(67\) −11363.9 27434.9i −0.309272 0.746648i −0.999729 0.0232747i \(-0.992591\pi\)
0.690458 0.723373i \(-0.257409\pi\)
\(68\) −7295.79 16227.7i −0.191337 0.425582i
\(69\) 28551.9 + 11826.6i 0.721960 + 0.299046i
\(70\) −4714.30 6832.73i −0.114993 0.166667i
\(71\) −16553.4 16553.4i −0.389710 0.389710i 0.484874 0.874584i \(-0.338865\pi\)
−0.874584 + 0.484874i \(0.838865\pi\)
\(72\) 3695.69 24186.2i 0.0840166 0.549839i
\(73\) 4830.08 4830.08i 0.106083 0.106083i −0.652073 0.758156i \(-0.726100\pi\)
0.758156 + 0.652073i \(0.226100\pi\)
\(74\) 30039.4 + 5511.05i 0.637694 + 0.116992i
\(75\) 15528.2 37488.5i 0.318764 0.769564i
\(76\) −9446.98 + 10027.8i −0.187611 + 0.199145i
\(77\) −29081.6 + 12046.0i −0.558974 + 0.231535i
\(78\) 28983.2 + 18747.1i 0.539398 + 0.348897i
\(79\) 37958.6i 0.684294i 0.939646 + 0.342147i \(0.111154\pi\)
−0.939646 + 0.342147i \(0.888846\pi\)
\(80\) 29678.8 14421.8i 0.518468 0.251938i
\(81\) 73624.6i 1.24684i
\(82\) −653.036 + 1009.60i −0.0107251 + 0.0165811i
\(83\) −9998.07 + 4141.34i −0.159302 + 0.0659850i −0.460910 0.887447i \(-0.652477\pi\)
0.301608 + 0.953432i \(0.402477\pi\)
\(84\) 844.753 + 28326.1i 0.0130627 + 0.438014i
\(85\) 6856.45 16552.9i 0.102932 0.248501i
\(86\) −21696.5 + 118262.i −0.316332 + 1.72425i
\(87\) −104467. + 104467.i −1.47972 + 1.47972i
\(88\) −29872.1 121505.i −0.411205 1.67258i
\(89\) −54005.0 54005.0i −0.722701 0.722701i 0.246453 0.969155i \(-0.420735\pi\)
−0.969155 + 0.246453i \(0.920735\pi\)
\(90\) 20279.5 13992.0i 0.263907 0.182085i
\(91\) −13201.9 5468.39i −0.167121 0.0692239i
\(92\) 18052.1 47542.9i 0.222360 0.585620i
\(93\) 70108.1 + 169256.i 0.840545 + 2.02925i
\(94\) −19915.1 92863.4i −0.232468 1.08399i
\(95\) −13873.2 −0.157714
\(96\) −111811. 13688.1i −1.23824 0.151588i
\(97\) 30631.2 0.330548 0.165274 0.986248i \(-0.447149\pi\)
0.165274 + 0.986248i \(0.447149\pi\)
\(98\) 17476.1 + 81490.3i 0.183814 + 0.857118i
\(99\) −35752.4 86314.0i −0.366621 0.885102i
\(100\) −62423.4 23702.2i −0.624234 0.237022i
\(101\) 123855. + 51302.2i 1.20812 + 0.500418i 0.893613 0.448839i \(-0.148162\pi\)
0.314503 + 0.949257i \(0.398162\pi\)
\(102\) −50343.8 + 34735.2i −0.479121 + 0.330574i
\(103\) 8375.37 + 8375.37i 0.0777877 + 0.0777877i 0.744930 0.667142i \(-0.232483\pi\)
−0.667142 + 0.744930i \(0.732483\pi\)
\(104\) 29413.9 48591.6i 0.266667 0.440533i
\(105\) −20178.7 + 20178.7i −0.178616 + 0.178616i
\(106\) −28895.7 + 157504.i −0.249786 + 1.36153i
\(107\) −53237.1 + 128526.i −0.449526 + 1.08525i 0.522974 + 0.852348i \(0.324822\pi\)
−0.972500 + 0.232903i \(0.925178\pi\)
\(108\) 67076.2 2000.38i 0.553362 0.0165026i
\(109\) 145524. 60278.0i 1.17319 0.485951i 0.290944 0.956740i \(-0.406031\pi\)
0.882246 + 0.470789i \(0.156031\pi\)
\(110\) 68431.6 105796.i 0.539231 0.833655i
\(111\) 104989.i 0.808791i
\(112\) 46549.8 2778.93i 0.350649 0.0209331i
\(113\) 204557.i 1.50702i −0.657437 0.753509i \(-0.728360\pi\)
0.657437 0.753509i \(-0.271640\pi\)
\(114\) 39766.4 + 25722.0i 0.286586 + 0.185371i
\(115\) 47312.4 19597.4i 0.333603 0.138183i
\(116\) 176953. + 166705.i 1.22099 + 1.15028i
\(117\) 16230.2 39183.1i 0.109612 0.264627i
\(118\) −200725. 36825.0i −1.32708 0.243466i
\(119\) 17904.3 17904.3i 0.115902 0.115902i
\(120\) −67173.8 91405.0i −0.425840 0.579451i
\(121\) −223958. 223958.i −1.39061 1.39061i
\(122\) −45136.4 65418.9i −0.274553 0.397927i
\(123\) 3818.78 + 1581.79i 0.0227595 + 0.00942728i
\(124\) 274956. 123618.i 1.60587 0.721981i
\(125\) −64267.4 155155.i −0.367888 0.888160i
\(126\) 34045.2 7301.20i 0.191042 0.0409702i
\(127\) 67021.0 0.368724 0.184362 0.982858i \(-0.440978\pi\)
0.184362 + 0.982858i \(0.440978\pi\)
\(128\) −17029.8 + 184580.i −0.0918722 + 0.995771i
\(129\) 413332. 2.18688
\(130\) 55926.6 11993.8i 0.290242 0.0622441i
\(131\) −130652. 315423.i −0.665180 1.60589i −0.789575 0.613654i \(-0.789699\pi\)
0.124395 0.992233i \(-0.460301\pi\)
\(132\) −392306. + 176377.i −1.95970 + 0.881062i
\(133\) −18113.6 7502.92i −0.0887926 0.0367791i
\(134\) 95397.3 + 138265.i 0.458959 + 0.665198i
\(135\) 47783.1 + 47783.1i 0.225652 + 0.225652i
\(136\) 59602.6 + 81102.6i 0.276323 + 0.376000i
\(137\) −164906. + 164906.i −0.750645 + 0.750645i −0.974600 0.223955i \(-0.928103\pi\)
0.223955 + 0.974600i \(0.428103\pi\)
\(138\) −171952. 31546.4i −0.768616 0.141011i
\(139\) −145580. + 351461.i −0.639093 + 1.54291i 0.188796 + 0.982016i \(0.439542\pi\)
−0.827889 + 0.560891i \(0.810458\pi\)
\(140\) 34180.1 + 32200.5i 0.147385 + 0.138849i
\(141\) −301639. + 124943.i −1.27773 + 0.529254i
\(142\) 111194. + 71923.1i 0.462763 + 0.299328i
\(143\) 216891.i 0.886954i
\(144\) 8247.86 + 138160.i 0.0331463 + 0.555233i
\(145\) 244812.i 0.966969i
\(146\) −20986.3 + 32444.9i −0.0814804 + 0.125969i
\(147\) 264697. 109641.i 1.01031 0.418485i
\(148\) −172688. + 5149.98i −0.648049 + 0.0193264i
\(149\) 17101.9 41287.6i 0.0631071 0.152354i −0.889180 0.457557i \(-0.848724\pi\)
0.952287 + 0.305203i \(0.0987244\pi\)
\(150\) −41420.1 + 225771.i −0.150308 + 0.819296i
\(151\) −142342. + 142342.i −0.508030 + 0.508030i −0.913921 0.405891i \(-0.866961\pi\)
0.405891 + 0.913921i \(0.366961\pi\)
\(152\) 40357.4 66670.3i 0.141682 0.234058i
\(153\) 53139.9 + 53139.9i 0.183524 + 0.183524i
\(154\) 146564. 101123.i 0.497997 0.343597i
\(155\) 280468. + 116174.i 0.937678 + 0.388399i
\(156\) −182546. 69312.8i −0.600566 0.228035i
\(157\) 14982.2 + 36170.2i 0.0485095 + 0.117112i 0.946277 0.323358i \(-0.104812\pi\)
−0.897767 + 0.440470i \(0.854812\pi\)
\(158\) −45025.7 209953.i −0.143489 0.669081i
\(159\) 550482. 1.72683
\(160\) −147050. + 114972.i −0.454113 + 0.355053i
\(161\) 72372.3 0.220043
\(162\) −87331.8 407224.i −0.261448 1.21912i
\(163\) 66616.5 + 160826.i 0.196387 + 0.474120i 0.991141 0.132811i \(-0.0424003\pi\)
−0.794754 + 0.606931i \(0.792400\pi\)
\(164\) 2414.44 6358.80i 0.00700982 0.0184614i
\(165\) −400170. 165756.i −1.14429 0.473979i
\(166\) 50387.9 34765.6i 0.141924 0.0979218i
\(167\) −177268. 177268.i −0.491858 0.491858i 0.417033 0.908891i \(-0.363070\pi\)
−0.908891 + 0.417033i \(0.863070\pi\)
\(168\) −38272.2 155672.i −0.104619 0.425537i
\(169\) −192922. + 192922.i −0.519596 + 0.519596i
\(170\) −18289.0 + 99688.8i −0.0485363 + 0.264560i
\(171\) 22268.6 53761.2i 0.0582376 0.140598i
\(172\) −20275.0 679856.i −0.0522563 1.75225i
\(173\) −556579. + 230542.i −1.41388 + 0.585647i −0.953314 0.301981i \(-0.902352\pi\)
−0.460562 + 0.887628i \(0.652352\pi\)
\(174\) 453899. 701732.i 1.13654 1.75711i
\(175\) 95024.2i 0.234552i
\(176\) 309351. + 636621.i 0.752784 + 1.54917i
\(177\) 701541.i 1.68314i
\(178\) 362766. + 234647.i 0.858177 + 0.555092i
\(179\) −163850. + 67868.7i −0.382219 + 0.158320i −0.565516 0.824737i \(-0.691323\pi\)
0.183297 + 0.983058i \(0.441323\pi\)
\(180\) −95570.8 + 101446.i −0.219859 + 0.233375i
\(181\) 256185. 618486.i 0.581243 1.40324i −0.310444 0.950592i \(-0.600478\pi\)
0.891687 0.452653i \(-0.149522\pi\)
\(182\) 79507.2 + 14586.4i 0.177921 + 0.0326415i
\(183\) −193197. + 193197.i −0.426456 + 0.426456i
\(184\) −43453.4 + 284377.i −0.0946192 + 0.619227i
\(185\) −123018. 123018.i −0.264265 0.264265i
\(186\) −588542. 853009.i −1.24737 1.80789i
\(187\) 355066. + 147073.i 0.742515 + 0.307560i
\(188\) 220305. + 490013.i 0.454600 + 1.01114i
\(189\) 36546.2 + 88230.3i 0.0744196 + 0.179665i
\(190\) 76734.2 16456.1i 0.154207 0.0330707i
\(191\) 283403. 0.562110 0.281055 0.959692i \(-0.409316\pi\)
0.281055 + 0.959692i \(0.409316\pi\)
\(192\) 634672. 56917.4i 1.24250 0.111427i
\(193\) 280359. 0.541778 0.270889 0.962611i \(-0.412682\pi\)
0.270889 + 0.962611i \(0.412682\pi\)
\(194\) −169424. + 36334.1i −0.323200 + 0.0693122i
\(195\) −75246.4 181661.i −0.141710 0.342117i
\(196\) −193324. 430001.i −0.359456 0.799519i
\(197\) −601655. 249213.i −1.10454 0.457516i −0.245486 0.969400i \(-0.578948\pi\)
−0.859054 + 0.511884i \(0.828948\pi\)
\(198\) 300134. + 435002.i 0.544066 + 0.788549i
\(199\) 50199.9 + 50199.9i 0.0898607 + 0.0898607i 0.750608 0.660748i \(-0.229761\pi\)
−0.660748 + 0.750608i \(0.729761\pi\)
\(200\) 373385. + 57053.9i 0.660057 + 0.100858i
\(201\) 408330. 408330.i 0.712888 0.712888i
\(202\) −745905. 136844.i −1.28619 0.235965i
\(203\) −132399. + 319640.i −0.225499 + 0.544403i
\(204\) 237254. 251840.i 0.399152 0.423691i
\(205\) 6327.97 2621.13i 0.0105167 0.00435616i
\(206\) −56259.6 36390.3i −0.0923696 0.0597472i
\(207\) 214801.i 0.348425i
\(208\) −105053. + 303655.i −0.168364 + 0.486656i
\(209\) 297586.i 0.471244i
\(210\) 87674.6 135546.i 0.137191 0.212098i
\(211\) −1.00741e6 + 417281.i −1.55775 + 0.645242i −0.984697 0.174275i \(-0.944242\pi\)
−0.573055 + 0.819517i \(0.694242\pi\)
\(212\) −27002.5 905443.i −0.0412634 1.38364i
\(213\) 174213. 420587.i 0.263107 0.635195i
\(214\) 142005. 774036.i 0.211967 1.15538i
\(215\) 484310. 484310.i 0.714541 0.714541i
\(216\) −368632. + 90628.5i −0.537599 + 0.132169i
\(217\) 303365. + 303365.i 0.437337 + 0.437337i
\(218\) −733407. + 506021.i −1.04521 + 0.721152i
\(219\) 122722. + 50833.2i 0.172907 + 0.0716205i
\(220\) −253009. + 666338.i −0.352435 + 0.928192i
\(221\) 66765.3 + 161186.i 0.0919538 + 0.221996i
\(222\) 124536. + 580704.i 0.169594 + 0.790811i
\(223\) 362960. 0.488761 0.244380 0.969679i \(-0.421415\pi\)
0.244380 + 0.969679i \(0.421415\pi\)
\(224\) −254175. + 70586.9i −0.338464 + 0.0939948i
\(225\) 282031. 0.371399
\(226\) 242641. + 1.13142e6i 0.316004 + 1.47352i
\(227\) −14996.3 36204.3i −0.0193161 0.0466333i 0.913927 0.405878i \(-0.133034\pi\)
−0.933243 + 0.359245i \(0.883034\pi\)
\(228\) −250463. 95100.8i −0.319085 0.121157i
\(229\) 1.20157e6 + 497708.i 1.51413 + 0.627171i 0.976404 0.215951i \(-0.0692851\pi\)
0.537722 + 0.843122i \(0.319285\pi\)
\(230\) −238443. + 164516.i −0.297211 + 0.205064i
\(231\) −432839. 432839.i −0.533699 0.533699i
\(232\) −1.17649e6 712160.i −1.43505 0.868676i
\(233\) 68666.3 68666.3i 0.0828617 0.0828617i −0.664461 0.747323i \(-0.731339\pi\)
0.747323 + 0.664461i \(0.231339\pi\)
\(234\) −43292.4 + 235977.i −0.0516859 + 0.281728i
\(235\) −207039. + 499836.i −0.244558 + 0.590415i
\(236\) 1.15391e6 34412.3i 1.34862 0.0402193i
\(237\) −681969. + 282481.i −0.788667 + 0.326677i
\(238\) −77792.7 + 120268.i −0.0890218 + 0.137628i
\(239\) 1.28699e6i 1.45740i −0.684832 0.728701i \(-0.740124\pi\)
0.684832 0.728701i \(-0.259876\pi\)
\(240\) 479967. + 425889.i 0.537877 + 0.477275i
\(241\) 130077.i 0.144264i −0.997395 0.0721319i \(-0.977020\pi\)
0.997395 0.0721319i \(-0.0229802\pi\)
\(242\) 1.50439e6 + 973080.i 1.65128 + 1.06810i
\(243\) −851952. + 352890.i −0.925549 + 0.383375i
\(244\) 327252. + 308298.i 0.351890 + 0.331510i
\(245\) 181682. 438620.i 0.193374 0.466846i
\(246\) −22998.3 4219.28i −0.0242303 0.00444530i
\(247\) 95524.3 95524.3i 0.0996258 0.0996258i
\(248\) −1.37418e6 + 1.00989e6i −1.41877 + 1.04266i
\(249\) −148807. 148807.i −0.152099 0.152099i
\(250\) 539510. + 781945.i 0.545946 + 0.791273i
\(251\) −713992. 295745.i −0.715334 0.296301i −0.00482410 0.999988i \(-0.501536\pi\)
−0.710510 + 0.703687i \(0.751536\pi\)
\(252\) −179647. + 80767.2i −0.178204 + 0.0801187i
\(253\) 420372. + 1.01487e6i 0.412888 + 0.996799i
\(254\) −370699. + 79498.8i −0.360527 + 0.0773172i
\(255\) 348416. 0.335543
\(256\) −124751. 1.04113e6i −0.118972 0.992898i
\(257\) −747239. −0.705711 −0.352855 0.935678i \(-0.614789\pi\)
−0.352855 + 0.935678i \(0.614789\pi\)
\(258\) −2.28618e6 + 490285.i −2.13826 + 0.458563i
\(259\) −94088.3 227149.i −0.0871538 0.210408i
\(260\) −295108. + 132678.i −0.270737 + 0.121721i
\(261\) −948689. 392960.i −0.862030 0.357065i
\(262\) 1.09680e6 + 1.58966e6i 0.987128 + 1.43070i
\(263\) −993838. 993838.i −0.885985 0.885985i 0.108150 0.994135i \(-0.465507\pi\)
−0.994135 + 0.108150i \(0.965507\pi\)
\(264\) 1.96067e6 1.44090e6i 1.73139 1.27240i
\(265\) 645011. 645011.i 0.564226 0.564226i
\(266\) 109088. + 20013.3i 0.0945308 + 0.0173427i
\(267\) 568365. 1.37215e6i 0.487921 1.17794i
\(268\) −691658. 651599.i −0.588240 0.554171i
\(269\) 1.33885e6 554571.i 1.12811 0.467279i 0.260973 0.965346i \(-0.415957\pi\)
0.867139 + 0.498067i \(0.165957\pi\)
\(270\) −320972. 207614.i −0.267953 0.173319i
\(271\) 1.02829e6i 0.850535i 0.905068 + 0.425267i \(0.139820\pi\)
−0.905068 + 0.425267i \(0.860180\pi\)
\(272\) −425869. 377887.i −0.349023 0.309699i
\(273\) 277881.i 0.225659i
\(274\) 716502. 1.10772e6i 0.576555 0.891359i
\(275\) 1.33251e6 551944.i 1.06253 0.440112i
\(276\) 988502. 29479.5i 0.781096 0.0232942i
\(277\) −277388. + 669674.i −0.217214 + 0.524402i −0.994499 0.104747i \(-0.966597\pi\)
0.777285 + 0.629149i \(0.216597\pi\)
\(278\) 388321. 2.11665e6i 0.301355 1.64262i
\(279\) −900386. + 900386.i −0.692497 + 0.692497i
\(280\) −227249. 137560.i −0.173223 0.104857i
\(281\) 830812. + 830812.i 0.627678 + 0.627678i 0.947483 0.319805i \(-0.103618\pi\)
−0.319805 + 0.947483i \(0.603618\pi\)
\(282\) 1.52019e6 1.04887e6i 1.13835 0.785414i
\(283\) −331244. 137206.i −0.245856 0.101837i 0.256353 0.966583i \(-0.417479\pi\)
−0.502209 + 0.864746i \(0.667479\pi\)
\(284\) −700336. 265918.i −0.515241 0.195637i
\(285\) −103242. 249248.i −0.0752912 0.181769i
\(286\) 257271. + 1.19964e6i 0.185984 + 0.867236i
\(287\) 9679.69 0.00693676
\(288\) −209502. 754391.i −0.148835 0.535939i
\(289\) 1.11071e6 0.782270
\(290\) −290390. 1.35408e6i −0.202762 0.945471i
\(291\) 227952. + 550324.i 0.157801 + 0.380966i
\(292\) 77591.6 204349.i 0.0532546 0.140254i
\(293\) 975370. + 404012.i 0.663744 + 0.274932i 0.689013 0.724749i \(-0.258044\pi\)
−0.0252693 + 0.999681i \(0.508044\pi\)
\(294\) −1.33401e6 + 920413.i −0.900100 + 0.621033i
\(295\) 822010. + 822010.i 0.549949 + 0.549949i
\(296\) 949044. 233324.i 0.629589 0.154785i
\(297\) −1.02496e6 + 1.02496e6i −0.674245 + 0.674245i
\(298\) −45617.7 + 248652.i −0.0297573 + 0.162200i
\(299\) −190832. + 460708.i −0.123445 + 0.298022i
\(300\) −38706.4 1.29789e6i −0.0248301 0.832599i
\(301\) 894265. 370417.i 0.568918 0.235654i
\(302\) 618462. 956147.i 0.390208 0.603264i
\(303\) 2.60697e6i 1.63128i
\(304\) −144138. + 416631.i −0.0894528 + 0.258563i
\(305\) 452747.i 0.278680i
\(306\) −356955. 230888.i −0.217926 0.140961i
\(307\) 513371. 212645.i 0.310875 0.128769i −0.221791 0.975094i \(-0.571190\pi\)
0.532666 + 0.846326i \(0.321190\pi\)
\(308\) −690711. + 733174.i −0.414877 + 0.440383i
\(309\) −88145.0 + 212801.i −0.0525172 + 0.126788i
\(310\) −1.68910e6 309882.i −0.998275 0.183144i
\(311\) −655764. + 655764.i −0.384456 + 0.384456i −0.872704 0.488249i \(-0.837636\pi\)
0.488249 + 0.872704i \(0.337636\pi\)
\(312\) 1.09190e6 + 166844.i 0.635031 + 0.0970339i
\(313\) −1.27356e6 1.27356e6i −0.734784 0.734784i 0.236779 0.971563i \(-0.423908\pi\)
−0.971563 + 0.236779i \(0.923908\pi\)
\(314\) −125772. 182289.i −0.0719881 0.104337i
\(315\) −183248. 75903.6i −0.104055 0.0431009i
\(316\) 498082. + 1.10786e6i 0.280597 + 0.624118i
\(317\) −409647. 988975.i −0.228961 0.552761i 0.767090 0.641539i \(-0.221704\pi\)
−0.996051 + 0.0887782i \(0.971704\pi\)
\(318\) −3.04477e6 + 652969.i −1.68844 + 0.362097i
\(319\) −5.25130e6 −2.88928
\(320\) 676967. 810350.i 0.369567 0.442382i
\(321\) −2.70529e6 −1.46538
\(322\) −400298. + 85846.4i −0.215151 + 0.0461405i
\(323\) 91605.4 + 221155.i 0.0488557 + 0.117948i
\(324\) 966081. + 2.14881e6i 0.511271 + 1.13719i
\(325\) 604906. + 250560.i 0.317672 + 0.131584i
\(326\) −559231. 810527.i −0.291439 0.422400i
\(327\) 2.16592e6 + 2.16592e6i 1.12014 + 1.12014i
\(328\) −5811.83 + 38035.1i −0.00298283 + 0.0195209i
\(329\) −540642. + 540642.i −0.275372 + 0.275372i
\(330\) 2.40999e6 + 442138.i 1.21823 + 0.223498i
\(331\) −159579. + 385259.i −0.0800583 + 0.193278i −0.958841 0.283945i \(-0.908357\pi\)
0.878782 + 0.477223i \(0.158357\pi\)
\(332\) −237462. + 252061.i −0.118236 + 0.125505i
\(333\) 674178. 279254.i 0.333168 0.138003i
\(334\) 1.19076e6 + 770215.i 0.584060 + 0.377786i
\(335\) 956898.i 0.465858i
\(336\) 396342. + 815640.i 0.191523 + 0.394140i
\(337\) 2.43546e6i 1.16817i −0.811692 0.584086i \(-0.801453\pi\)
0.811692 0.584086i \(-0.198547\pi\)
\(338\) 838231. 1.29591e6i 0.399091 0.616998i
\(339\) 3.67510e6 1.52228e6i 1.73688 0.719439i
\(340\) −17090.7 573082.i −0.00801794 0.268856i
\(341\) −2.49196e6 + 6.01613e6i −1.16053 + 2.80176i
\(342\) −59399.5 + 323773.i −0.0274611 + 0.149684i
\(343\) 1.01564e6 1.01564e6i 0.466127 0.466127i
\(344\) 918572. + 3.73630e6i 0.418521 + 1.70234i
\(345\) 704180. + 704180.i 0.318519 + 0.318519i
\(346\) 2.80502e6 1.93535e6i 1.25964 0.869100i
\(347\) 1.14551e6 + 474488.i 0.510713 + 0.211544i 0.623132 0.782117i \(-0.285860\pi\)
−0.112419 + 0.993661i \(0.535860\pi\)
\(348\) −1.67818e6 + 4.41975e6i −0.742832 + 1.95636i
\(349\) −1.45038e6 3.50152e6i −0.637407 1.53884i −0.830121 0.557583i \(-0.811729\pi\)
0.192714 0.981255i \(-0.438271\pi\)
\(350\) 112716. + 525588.i 0.0491828 + 0.229337i
\(351\) −658022. −0.285084
\(352\) −2.46620e6 3.15426e6i −1.06089 1.35688i
\(353\) −523118. −0.223441 −0.111720 0.993740i \(-0.535636\pi\)
−0.111720 + 0.993740i \(0.535636\pi\)
\(354\) −832151. 3.88029e6i −0.352935 1.64572i
\(355\) −288682. 696940.i −0.121576 0.293511i
\(356\) −2.28483e6 867550.i −0.955494 0.362802i
\(357\) 454911. + 188430.i 0.188911 + 0.0782493i
\(358\) 825763. 569743.i 0.340524 0.234948i
\(359\) 2.00915e6 + 2.00915e6i 0.822764 + 0.822764i 0.986504 0.163739i \(-0.0523556\pi\)
−0.163739 + 0.986504i \(0.552356\pi\)
\(360\) 408278. 674473.i 0.166035 0.274289i
\(361\) −1.61980e6 + 1.61980e6i −0.654175 + 0.654175i
\(362\) −683350. + 3.72478e6i −0.274077 + 1.49393i
\(363\) 2.35701e6 5.69032e6i 0.938846 2.26657i
\(364\) −457064. + 13630.8i −0.180810 + 0.00539221i
\(365\) 203358. 84233.8i 0.0798969 0.0330944i
\(366\) 839427. 1.29776e6i 0.327552 0.506397i
\(367\) 1.24365e6i 0.481984i −0.970527 0.240992i \(-0.922527\pi\)
0.970527 0.240992i \(-0.0774728\pi\)
\(368\) −96977.0 1.62446e6i −0.0373292 0.625302i
\(369\) 28729.3i 0.0109840i
\(370\) 826344. + 534502.i 0.313803 + 0.202976i
\(371\) 1.19100e6 493327.i 0.449237 0.186080i
\(372\) 4.26710e6 + 4.01996e6i 1.59873 + 1.50614i
\(373\) 869220. 2.09848e6i 0.323487 0.780968i −0.675559 0.737306i \(-0.736098\pi\)
0.999046 0.0436617i \(-0.0139024\pi\)
\(374\) −2.13836e6 392304.i −0.790499 0.145025i
\(375\) 2.30927e6 2.30927e6i 0.848001 0.848001i
\(376\) −1.79977e6 2.44899e6i −0.656519 0.893341i
\(377\) −1.68565e6 1.68565e6i −0.610823 0.610823i
\(378\) −306797. 444660.i −0.110439 0.160066i
\(379\) −1.23043e6 509660.i −0.440006 0.182256i 0.151672 0.988431i \(-0.451534\pi\)
−0.591678 + 0.806175i \(0.701534\pi\)
\(380\) −404904. + 182041.i −0.143844 + 0.0646710i
\(381\) 498757. + 1.20411e6i 0.176026 + 0.424964i
\(382\) −1.56753e6 + 336166.i −0.549613 + 0.117868i
\(383\) 824678. 0.287268 0.143634 0.989631i \(-0.454121\pi\)
0.143634 + 0.989631i \(0.454121\pi\)
\(384\) −3.44292e6 + 1.06765e6i −1.19151 + 0.369488i
\(385\) −1.01433e6 −0.348762
\(386\) −1.55069e6 + 332555.i −0.529733 + 0.113605i
\(387\) 1.09939e6 + 2.65417e6i 0.373144 + 0.900849i
\(388\) 894002. 401934.i 0.301480 0.135542i
\(389\) −1.21705e6 504120.i −0.407789 0.168912i 0.169353 0.985555i \(-0.445832\pi\)
−0.577142 + 0.816644i \(0.695832\pi\)
\(390\) 631677. + 915527.i 0.210297 + 0.304796i
\(391\) −624811. 624811.i −0.206684 0.206684i
\(392\) 1.57935e6 + 2.14906e6i 0.519114 + 0.706371i
\(393\) 4.69463e6 4.69463e6i 1.53328 1.53328i
\(394\) 3.62342e6 + 664754.i 1.17592 + 0.215735i
\(395\) −468089. + 1.13007e6i −0.150951 + 0.364428i
\(396\) −2.17606e6 2.05003e6i −0.697320 0.656933i
\(397\) 1.12420e6 465658.i 0.357987 0.148283i −0.196439 0.980516i \(-0.562938\pi\)
0.554426 + 0.832233i \(0.312938\pi\)
\(398\) −337206. 218114.i −0.106706 0.0690202i
\(399\) 381267.i 0.119894i
\(400\) −2.13290e6 + 127330.i −0.666532 + 0.0397906i
\(401\) 751314.i 0.233325i 0.993172 + 0.116662i \(0.0372195\pi\)
−0.993172 + 0.116662i \(0.962780\pi\)
\(402\) −1.77416e6 + 2.74286e6i −0.547555 + 0.846523i
\(403\) −2.73108e6 + 1.13125e6i −0.837667 + 0.346973i
\(404\) 4.28799e6 127878.i 1.30707 0.0389801i
\(405\) −907906. + 2.19188e6i −0.275045 + 0.664016i
\(406\) 353162. 1.92500e6i 0.106331 0.579584i
\(407\) 2.63877e6 2.63877e6i 0.789617 0.789617i
\(408\) −1.01355e6 + 1.67438e6i −0.301435 + 0.497969i
\(409\) 679986. + 679986.i 0.200998 + 0.200998i 0.800428 0.599430i \(-0.204606\pi\)
−0.599430 + 0.800428i \(0.704606\pi\)
\(410\) −31891.5 + 22003.8i −0.00936946 + 0.00646455i
\(411\) −4.18991e6 1.73552e6i −1.22349 0.506786i
\(412\) 354343. + 134544.i 0.102844 + 0.0390501i
\(413\) 628701. + 1.51782e6i 0.181372 + 0.437870i
\(414\) −254792. 1.18808e6i −0.0730608 0.340679i
\(415\) −348722. −0.0993937
\(416\) 220868. 1.80416e6i 0.0625747 0.511141i
\(417\) −7.39776e6 −2.08334
\(418\) 352989. + 1.64597e6i 0.0988145 + 0.460768i
\(419\) 1.56206e6 + 3.77115e6i 0.434673 + 1.04939i 0.977762 + 0.209719i \(0.0672549\pi\)
−0.543088 + 0.839676i \(0.682745\pi\)
\(420\) −324155. + 853713.i −0.0896665 + 0.236150i
\(421\) 3.99912e6 + 1.65649e6i 1.09966 + 0.455495i 0.857366 0.514708i \(-0.172100\pi\)
0.242296 + 0.970202i \(0.422100\pi\)
\(422\) 5.07709e6 3.50298e6i 1.38782 0.957540i
\(423\) −1.60462e6 1.60462e6i −0.436035 0.436035i
\(424\) 1.22337e6 + 4.97606e6i 0.330478 + 1.34422i
\(425\) −820371. + 820371.i −0.220312 + 0.220312i
\(426\) −464697. + 2.53296e6i −0.124064 + 0.676244i
\(427\) −244854. + 591131.i −0.0649888 + 0.156897i
\(428\) 132701. + 4.44971e6i 0.0350159 + 1.17415i
\(429\) 3.89669e6 1.61406e6i 1.02224 0.423425i
\(430\) −2.10428e6 + 3.25324e6i −0.548824 + 0.848486i
\(431\) 3.95007e6i 1.02426i 0.858907 + 0.512132i \(0.171144\pi\)
−0.858907 + 0.512132i \(0.828856\pi\)
\(432\) 1.93144e6 938537.i 0.497933 0.241959i
\(433\) 5.64252e6i 1.44628i −0.690700 0.723142i \(-0.742697\pi\)
0.690700 0.723142i \(-0.257303\pi\)
\(434\) −2.03778e6 1.31809e6i −0.519319 0.335910i
\(435\) −4.39832e6 + 1.82184e6i −1.11446 + 0.461623i
\(436\) 3.45631e6 3.66880e6i 0.870756 0.924288i
\(437\) −261831. + 632116.i −0.0655870 + 0.158341i
\(438\) −739085. 135593.i −0.184081 0.0337716i
\(439\) −2.92219e6 + 2.92219e6i −0.723680 + 0.723680i −0.969353 0.245673i \(-0.920991\pi\)
0.245673 + 0.969353i \(0.420991\pi\)
\(440\) 609021. 3.98569e6i 0.149969 0.981458i
\(441\) 1.40810e6 + 1.40810e6i 0.344776 + 0.344776i
\(442\) −560480. 812337.i −0.136460 0.197779i
\(443\) 621648. + 257495.i 0.150500 + 0.0623389i 0.456662 0.889640i \(-0.349045\pi\)
−0.306162 + 0.951979i \(0.599045\pi\)
\(444\) −1.37764e6 3.06421e6i −0.331648 0.737668i
\(445\) −941817. 2.27375e6i −0.225459 0.544305i
\(446\) −2.00756e6 + 430535.i −0.477895 + 0.102487i
\(447\) 869047. 0.205719
\(448\) 1.32214e6 691919.i 0.311230 0.162877i
\(449\) 4.76592e6 1.11566 0.557829 0.829956i \(-0.311635\pi\)
0.557829 + 0.829956i \(0.311635\pi\)
\(450\) −1.55994e6 + 334539.i −0.363142 + 0.0778782i
\(451\) 56224.1 + 135737.i 0.0130161 + 0.0314237i
\(452\) −2.68414e6 5.97020e6i −0.617958 1.37449i
\(453\) −3.61661e6 1.49805e6i −0.828048 0.342989i
\(454\) 125891. + 182461.i 0.0286652 + 0.0415462i
\(455\) −325599. 325599.i −0.0737317 0.0737317i
\(456\) 1.49814e6 + 228918.i 0.337396 + 0.0515548i
\(457\) 1.46368e6 1.46368e6i 0.327835 0.327835i −0.523928 0.851763i \(-0.675534\pi\)
0.851763 + 0.523928i \(0.175534\pi\)
\(458\) −7.23639e6 1.32759e6i −1.61197 0.295734i
\(459\) 446203. 1.07723e6i 0.0988556 0.238658i
\(460\) 1.12371e6 1.19279e6i 0.247604 0.262827i
\(461\) −6.36664e6 + 2.63715e6i −1.39527 + 0.577940i −0.948519 0.316719i \(-0.897419\pi\)
−0.446751 + 0.894659i \(0.647419\pi\)
\(462\) 2.90750e6 + 1.88065e6i 0.633745 + 0.409924i
\(463\) 2.67231e6i 0.579342i 0.957126 + 0.289671i \(0.0935458\pi\)
−0.957126 + 0.289671i \(0.906454\pi\)
\(464\) 7.35200e6 + 2.54350e6i 1.58530 + 0.548451i
\(465\) 5.90346e6i 1.26612i
\(466\) −298349. + 461250.i −0.0636444 + 0.0983947i
\(467\) −3.19521e6 + 1.32350e6i −0.677966 + 0.280823i −0.694976 0.719033i \(-0.744585\pi\)
0.0170105 + 0.999855i \(0.494585\pi\)
\(468\) −40456.0 1.35656e6i −0.00853825 0.286303i
\(469\) 517509. 1.24938e6i 0.108639 0.262278i
\(470\) 552257. 3.01022e6i 0.115318 0.628570i
\(471\) −538344. + 538344.i −0.111817 + 0.111817i
\(472\) −6.34155e6 + 1.55908e6i −1.31021 + 0.322116i
\(473\) 1.03886e7 + 1.03886e7i 2.13503 + 2.13503i
\(474\) 3.43696e6 2.37136e6i 0.702634 0.484789i
\(475\) 829963. + 343782.i 0.168781 + 0.0699116i
\(476\) 287619. 757490.i 0.0581836 0.153235i
\(477\) 1.46419e6 + 3.53487e6i 0.294647 + 0.711341i
\(478\) 1.52659e6 + 7.11845e6i 0.305601 + 1.42500i
\(479\) −5.02345e6 −1.00038 −0.500188 0.865917i \(-0.666736\pi\)
−0.500188 + 0.865917i \(0.666736\pi\)
\(480\) −3.15992e6 1.78631e6i −0.625999 0.353878i
\(481\) 1.69408e6 0.333866
\(482\) 154294. + 719467.i 0.0302505 + 0.141057i
\(483\) 538581. + 1.30025e6i 0.105047 + 0.253606i
\(484\) −9.47516e6 3.59772e6i −1.83854 0.698095i
\(485\) 911922. + 377730.i 0.176037 + 0.0729168i
\(486\) 4.29363e6 2.96243e6i 0.824583 0.568929i
\(487\) 259973. + 259973.i 0.0496713 + 0.0496713i 0.731506 0.681835i \(-0.238818\pi\)
−0.681835 + 0.731506i \(0.738818\pi\)
\(488\) −2.17576e6 1.31705e6i −0.413581 0.250352i
\(489\) −2.39368e6 + 2.39368e6i −0.452683 + 0.452683i
\(490\) −484621. + 2.64156e6i −0.0911826 + 0.497015i
\(491\) −687667. + 1.66018e6i −0.128729 + 0.310778i −0.975082 0.221843i \(-0.928793\pi\)
0.846354 + 0.532621i \(0.178793\pi\)
\(492\) 132211. 3942.85i 0.0246237 0.000734340i
\(493\) 3.90258e6 1.61650e6i 0.723160 0.299543i
\(494\) −415045. + 641663.i −0.0765205 + 0.118301i
\(495\) 3.01054e6i 0.552244i
\(496\) 6.40279e6 7.21579e6i 1.16860 1.31698i
\(497\) 1.06609e6i 0.193598i
\(498\) 999580. + 646556.i 0.180611 + 0.116824i
\(499\) 1.57613e6 652856.i 0.283362 0.117372i −0.236476 0.971637i \(-0.575992\pi\)
0.519838 + 0.854265i \(0.325992\pi\)
\(500\) −3.91161e6 3.68506e6i −0.699729 0.659203i
\(501\) 1.86562e6 4.50402e6i 0.332070 0.801688i
\(502\) 4.29996e6 + 788872.i 0.761562 + 0.139716i
\(503\) 7.48243e6 7.48243e6i 1.31863 1.31863i 0.403768 0.914861i \(-0.367700\pi\)
0.914861 0.403768i \(-0.132300\pi\)
\(504\) 897837. 659824.i 0.157442 0.115705i
\(505\) 3.05464e6 + 3.05464e6i 0.533005 + 0.533005i
\(506\) −3.52893e6 5.11469e6i −0.612726 0.888061i
\(507\) −4.90176e6 2.03037e6i −0.846899 0.350797i
\(508\) 1.95607e6 879430.i 0.336299 0.151197i
\(509\) −3.24911e6 7.84405e6i −0.555866 1.34198i −0.913013 0.407931i \(-0.866250\pi\)
0.357147 0.934048i \(-0.383750\pi\)
\(510\) −1.92712e6 + 413284.i −0.328083 + 0.0703595i
\(511\) 311071. 0.0526996
\(512\) 1.92497e6 + 5.61060e6i 0.324526 + 0.945877i
\(513\) −902841. −0.151467
\(514\) 4.13305e6 886358.i 0.690022 0.147979i
\(515\) 146062. + 352625.i 0.0242672 + 0.0585861i
\(516\) 1.20635e7 5.42362e6i 1.99457 0.896737i
\(517\) −1.07216e7 4.44105e6i −1.76415 0.730734i
\(518\) 789850. + 1.14478e6i 0.129336 + 0.187455i
\(519\) −8.28390e6 8.28390e6i −1.34995 1.34995i
\(520\) 1.47489e6 1.08390e6i 0.239195 0.175785i
\(521\) 5.03661e6 5.03661e6i 0.812913 0.812913i −0.172157 0.985070i \(-0.555074\pi\)
0.985070 + 0.172157i \(0.0550736\pi\)
\(522\) 5.71340e6 + 1.04818e6i 0.917738 + 0.168369i
\(523\) −119555. + 288632.i −0.0191124 + 0.0461414i −0.933148 0.359493i \(-0.882950\pi\)
0.914035 + 0.405635i \(0.132950\pi\)
\(524\) −7.95211e6 7.49154e6i −1.26518 1.19191i
\(525\) 1.70722e6 707152.i 0.270327 0.111973i
\(526\) 6.67588e6 + 4.31814e6i 1.05207 + 0.680507i
\(527\) 5.23807e6i 0.821571i
\(528\) −9.13547e6 + 1.02955e7i −1.42609 + 1.60717i
\(529\) 3.91075e6i 0.607605i
\(530\) −2.80252e6 + 4.33272e6i −0.433370 + 0.669993i
\(531\) −4.50488e6 + 1.86598e6i −0.693341 + 0.287191i
\(532\) −627116. + 18702.1i −0.0960657 + 0.00286491i
\(533\) −25523.5 + 61619.1i −0.00389154 + 0.00939501i
\(534\) −1.51606e6 + 8.26370e6i −0.230072 + 1.25407i
\(535\) −3.16984e6 + 3.16984e6i −0.478799 + 0.478799i
\(536\) 4.59854e6 + 2.78363e6i 0.691366 + 0.418503i
\(537\) −2.43867e6 2.43867e6i −0.364937 0.364937i
\(538\) −6.74750e6 + 4.65550e6i −1.00505 + 0.693443i
\(539\) 9.40855e6 + 3.89715e6i 1.39492 + 0.577796i
\(540\) 2.02159e6 + 767600.i 0.298339 + 0.113279i
\(541\) 1.13319e6 + 2.73576e6i 0.166460 + 0.401869i 0.984994 0.172589i \(-0.0552131\pi\)
−0.818534 + 0.574457i \(0.805213\pi\)
\(542\) −1.21973e6 5.68756e6i −0.178347 0.831626i
\(543\) 1.30183e7 1.89476
\(544\) 2.80376e6 + 1.58497e6i 0.406204 + 0.229627i
\(545\) 5.07572e6 0.731992
\(546\) 329616. + 1.53699e6i 0.0473180 + 0.220642i
\(547\) −2.02704e6 4.89370e6i −0.289663 0.699308i 0.710327 0.703872i \(-0.248547\pi\)
−0.999990 + 0.00456392i \(0.998547\pi\)
\(548\) −2.64909e6 + 6.97678e6i −0.376830 + 0.992439i
\(549\) −1.75447e6 726727.i −0.248437 0.102906i
\(550\) −6.71554e6 + 4.63345e6i −0.946617 + 0.653127i
\(551\) −2.31281e6 2.31281e6i −0.324534 0.324534i
\(552\) −5.43253e6 + 1.33559e6i −0.758847 + 0.186563i
\(553\) −1.22232e6 + 1.22232e6i −0.169970 + 0.169970i
\(554\) 739907. 4.03306e6i 0.102424 0.558291i
\(555\) 1.29468e6 3.12563e6i 0.178414 0.430730i
\(556\) 362879. + 1.21680e7i 0.0497823 + 1.66929i
\(557\) −8.70452e6 + 3.60553e6i −1.18879 + 0.492415i −0.887362 0.461073i \(-0.847465\pi\)
−0.301432 + 0.953488i \(0.597465\pi\)
\(558\) 3.91210e6 6.04813e6i 0.531893 0.822311i
\(559\) 6.66944e6i 0.902734i
\(560\) 1.42010e6 + 491300.i 0.191360 + 0.0662029i
\(561\) 7.47365e6i 1.00260i
\(562\) −5.58079e6 3.60981e6i −0.745340 0.482107i
\(563\) 3.66631e6 1.51864e6i 0.487482 0.201922i −0.125384 0.992108i \(-0.540016\pi\)
0.612866 + 0.790187i \(0.290016\pi\)
\(564\) −7.16417e6 + 7.60461e6i −0.948349 + 1.00665i
\(565\) 2.52251e6 6.08987e6i 0.332439 0.802578i
\(566\) 1.99489e6 + 365983.i 0.261745 + 0.0480198i
\(567\) −2.37082e6 + 2.37082e6i −0.309700 + 0.309700i
\(568\) 4.18905e6 + 640095.i 0.544809 + 0.0832479i
\(569\) −5.16128e6 5.16128e6i −0.668308 0.668308i 0.289017 0.957324i \(-0.406672\pi\)
−0.957324 + 0.289017i \(0.906672\pi\)
\(570\) 866694. + 1.25615e6i 0.111732 + 0.161940i
\(571\) −4.29587e6 1.77941e6i −0.551393 0.228394i 0.0895509 0.995982i \(-0.471457\pi\)
−0.640944 + 0.767588i \(0.721457\pi\)
\(572\) −2.84598e6 6.33017e6i −0.363699 0.808957i
\(573\) 2.10903e6 + 5.09165e6i 0.268347 + 0.647847i
\(574\) −53539.3 + 11481.8i −0.00678255 + 0.00145456i
\(575\) −3.31608e6 −0.418269
\(576\) 2.05361e6 + 3.92410e6i 0.257907 + 0.492815i
\(577\) 5.99390e6 0.749497 0.374748 0.927127i \(-0.377729\pi\)
0.374748 + 0.927127i \(0.377729\pi\)
\(578\) −6.14345e6 + 1.31750e6i −0.764878 + 0.164033i
\(579\) 2.08638e6 + 5.03696e6i 0.258641 + 0.624414i
\(580\) 3.21235e6 + 7.14507e6i 0.396509 + 0.881935i
\(581\) −455310. 188595.i −0.0559586 0.0231788i
\(582\) −1.91360e6 2.77350e6i −0.234177 0.339407i
\(583\) 1.38357e7 + 1.38357e7i 1.68589 + 1.68589i
\(584\) −186772. + 1.22231e6i −0.0226610 + 0.148303i
\(585\) 966376. 966376.i 0.116750 0.116750i
\(586\) −5.87409e6 1.07766e6i −0.706637 0.129640i
\(587\) −5.38291e6 + 1.29955e7i −0.644795 + 1.55667i 0.175343 + 0.984507i \(0.443897\pi\)
−0.820138 + 0.572166i \(0.806103\pi\)
\(588\) 6.28676e6 6.67326e6i 0.749866 0.795967i
\(589\) −3.74718e6 + 1.55213e6i −0.445058 + 0.184349i
\(590\) −5.52166e6 3.57156e6i −0.653040 0.422404i
\(591\) 1.26640e7i 1.49143i
\(592\) −4.97249e6 + 2.41627e6i −0.583136 + 0.283362i
\(593\) 1.05021e7i 1.22642i −0.789920 0.613210i \(-0.789878\pi\)
0.789920 0.613210i \(-0.210122\pi\)
\(594\) 4.45338e6 6.88496e6i 0.517874 0.800636i
\(595\) 753817. 312241.i 0.0872918 0.0361575i
\(596\) −42629.0 1.42943e6i −0.00491574 0.164834i
\(597\) −528319. + 1.27547e6i −0.0606681 + 0.146466i
\(598\) 509026. 2.77458e6i 0.0582086 0.317281i
\(599\) 1.38447e6 1.38447e6i 0.157658 0.157658i −0.623870 0.781528i \(-0.714441\pi\)
0.781528 + 0.623870i \(0.214441\pi\)
\(600\) 1.75362e6 + 7.13286e6i 0.198865 + 0.808883i
\(601\) −8.65532e6 8.65532e6i −0.977456 0.977456i 0.0222958 0.999751i \(-0.492902\pi\)
−0.999751 + 0.0222958i \(0.992902\pi\)
\(602\) −4.50688e6 + 3.10956e6i −0.506856 + 0.349710i
\(603\) 3.70814e6 + 1.53596e6i 0.415301 + 0.172023i
\(604\) −2.28661e6 + 6.02215e6i −0.255035 + 0.671675i
\(605\) −3.90571e6 9.42922e6i −0.433822 1.04734i
\(606\) −3.09232e6 1.44194e7i −0.342061 1.59502i
\(607\) 8.10261e6 0.892592 0.446296 0.894885i \(-0.352743\pi\)
0.446296 + 0.894885i \(0.352743\pi\)
\(608\) 303042. 2.47540e6i 0.0332463 0.271572i
\(609\) −6.72797e6 −0.735090
\(610\) −537038. 2.50419e6i −0.0584360 0.272485i
\(611\) −2.01606e6 4.86719e6i −0.218474 0.527443i
\(612\) 2.24823e6 + 853653.i 0.242639 + 0.0921304i
\(613\) 1.37630e7 + 5.70082e6i 1.47932 + 0.612754i 0.968962 0.247209i \(-0.0795135\pi\)
0.510356 + 0.859963i \(0.329514\pi\)
\(614\) −2.58727e6 + 1.78511e6i −0.276962 + 0.191093i
\(615\) 94183.0 + 94183.0i 0.0100412 + 0.0100412i
\(616\) 2.95071e6 4.87456e6i 0.313310 0.517587i
\(617\) −5.18621e6 + 5.18621e6i −0.548450 + 0.548450i −0.925992 0.377542i \(-0.876769\pi\)
0.377542 + 0.925992i \(0.376769\pi\)
\(618\) 235119. 1.28158e6i 0.0247637 0.134981i
\(619\) −1.16144e6 + 2.80395e6i −0.121834 + 0.294133i −0.973016 0.230737i \(-0.925886\pi\)
0.851182 + 0.524870i \(0.175886\pi\)
\(620\) 9.71012e6 289580.i 1.01448 0.0302544i
\(621\) 3.07899e6 1.27536e6i 0.320390 0.132710i
\(622\) 2.84924e6 4.40494e6i 0.295293 0.456525i
\(623\) 3.47808e6i 0.359021i
\(624\) −6.23728e6 + 372353.i −0.641260 + 0.0382819i
\(625\) 1.10905e6i 0.113567i
\(626\) 8.55487e6 + 5.53353e6i 0.872524 + 0.564373i
\(627\) 5.34646e6 2.21458e6i 0.543122 0.224968i
\(628\) 911885. + 859071.i 0.0922659 + 0.0869220i
\(629\) −1.14875e6 + 2.77333e6i −0.115771 + 0.279496i
\(630\) 1.10359e6 + 202466.i 0.110779 + 0.0203236i
\(631\) −3.89595e6 + 3.89595e6i −0.389529 + 0.389529i −0.874520 0.484990i \(-0.838823\pi\)
0.484990 + 0.874520i \(0.338823\pi\)
\(632\) −4.06906e6 5.53686e6i −0.405229 0.551405i
\(633\) −1.49938e7 1.49938e7i −1.48732 1.48732i
\(634\) 3.43889e6 + 4.98420e6i 0.339778 + 0.492461i
\(635\) 1.99528e6 + 826473.i 0.196368 + 0.0813381i
\(636\) 1.60664e7 7.22327e6i 1.57498 0.708094i
\(637\) 1.76915e6 + 4.27110e6i 0.172749 + 0.417053i
\(638\) 2.90454e7 6.22897e6i 2.82505 0.605849i
\(639\) 3.16414e6 0.306552
\(640\) −2.78315e6 + 5.28512e6i −0.268588 + 0.510041i
\(641\) 1.05054e7 1.00988 0.504938 0.863155i \(-0.331515\pi\)
0.504938 + 0.863155i \(0.331515\pi\)
\(642\) 1.49632e7 3.20895e6i 1.43280 0.307274i
\(643\) −6.92224e6 1.67118e7i −0.660266 1.59402i −0.797386 0.603469i \(-0.793785\pi\)
0.137120 0.990554i \(-0.456215\pi\)
\(644\) 2.11226e6 949648.i 0.200693 0.0902294i
\(645\) 1.23053e7 + 5.09702e6i 1.16464 + 0.482411i
\(646\) −769007. 1.11457e6i −0.0725019 0.105081i
\(647\) 3.55989e6 + 3.55989e6i 0.334330 + 0.334330i 0.854228 0.519898i \(-0.174030\pi\)
−0.519898 + 0.854228i \(0.674030\pi\)
\(648\) −7.89235e6 1.07393e7i −0.738361 1.00470i
\(649\) −1.76324e7 + 1.76324e7i −1.64323 + 1.64323i
\(650\) −3.64300e6 668346.i −0.338202 0.0620466i
\(651\) −3.19271e6 + 7.70787e6i −0.295261 + 0.712824i
\(652\) 4.05459e6 + 3.81975e6i 0.373532 + 0.351898i
\(653\) −9.71337e6 + 4.02341e6i −0.891430 + 0.369242i −0.780919 0.624633i \(-0.785249\pi\)
−0.110511 + 0.993875i \(0.535249\pi\)
\(654\) −1.45491e7 9.41076e6i −1.33012 0.860360i
\(655\) 1.10016e7i 1.00197i
\(656\) −12970.5 217269.i −0.00117679 0.0197124i
\(657\) 923257.i 0.0834467i
\(658\) 2.34904e6 3.63164e6i 0.211508 0.326992i
\(659\) 3.75614e6 1.55584e6i 0.336921 0.139557i −0.207807 0.978170i \(-0.566633\pi\)
0.544728 + 0.838613i \(0.316633\pi\)
\(660\) −1.38543e7 + 413170.i −1.23802 + 0.0369206i
\(661\) −3.93118e6 + 9.49072e6i −0.349961 + 0.844881i 0.646663 + 0.762776i \(0.276164\pi\)
−0.996624 + 0.0821046i \(0.973836\pi\)
\(662\) 425663. 2.32019e6i 0.0377503 0.205768i
\(663\) −2.39902e6 + 2.39902e6i −0.211959 + 0.211959i
\(664\) 1.01444e6 1.67584e6i 0.0892903 0.147507i
\(665\) −446739. 446739.i −0.0391741 0.0391741i
\(666\) −3.39770e6 + 2.34427e6i −0.296824 + 0.204796i
\(667\) 1.11545e7 + 4.62036e6i 0.970816 + 0.402125i
\(668\) −7.49981e6 2.84768e6i −0.650293 0.246917i
\(669\) 2.70108e6 + 6.52098e6i 0.233331 + 0.563310i
\(670\) 1.13505e6 + 5.29269e6i 0.0976850 + 0.455501i
\(671\) −9.71158e6 −0.832690
\(672\) −3.15970e6 4.04125e6i −0.269912 0.345217i
\(673\) 9.82837e6 0.836457 0.418229 0.908342i \(-0.362651\pi\)
0.418229 + 0.908342i \(0.362651\pi\)
\(674\) 2.88889e6 + 1.34708e7i 0.244952 + 1.14220i
\(675\) −1.67454e6 4.04269e6i −0.141460 0.341516i
\(676\) −3.09915e6 + 8.16210e6i −0.260841 + 0.686965i
\(677\) −1.06896e7 4.42780e6i −0.896379 0.371292i −0.113552 0.993532i \(-0.536223\pi\)
−0.782827 + 0.622240i \(0.786223\pi\)
\(678\) −1.85216e7 + 1.27792e7i −1.54741 + 1.06765i
\(679\) 986370. + 986370.i 0.0821042 + 0.0821042i
\(680\) 774307. + 3.14950e6i 0.0642157 + 0.261197i
\(681\) 538851. 538851.i 0.0445247 0.0445247i
\(682\) 6.64708e6 3.62317e7i 0.547230 2.98282i
\(683\) 1.69827e6 4.10000e6i 0.139302 0.336304i −0.838798 0.544443i \(-0.816741\pi\)
0.978099 + 0.208140i \(0.0667409\pi\)
\(684\) −55507.8 1.86128e6i −0.00453642 0.152114i
\(685\) −6.94296e6 + 2.87587e6i −0.565351 + 0.234176i
\(686\) −4.41286e6 + 6.82232e6i −0.358022 + 0.553505i
\(687\) 2.52915e7i 2.04448i
\(688\) −9.51262e6 1.95762e7i −0.766177 1.57673i
\(689\) 8.88247e6i 0.712829i
\(690\) −4.73016e6 3.05960e6i −0.378228 0.244648i
\(691\) 9.79362e6 4.05665e6i 0.780275 0.323201i 0.0432487 0.999064i \(-0.486229\pi\)
0.737027 + 0.675864i \(0.236229\pi\)
\(692\) −1.32192e7 + 1.40319e7i −1.04940 + 1.11391i
\(693\) 1.62816e6 3.93072e6i 0.128784 0.310913i
\(694\) −6.89877e6 1.26565e6i −0.543717 0.0997506i
\(695\) −8.66812e6 + 8.66812e6i −0.680711 + 0.680711i
\(696\) 4.03957e6 2.64366e7i 0.316091 2.06863i
\(697\) −83567.5 83567.5i −0.00651562 0.00651562i
\(698\) 1.21756e7 + 1.76468e7i 0.945913 + 1.37097i
\(699\) 1.74467e6 + 722666.i 0.135058 + 0.0559428i
\(700\) −1.24688e6 2.77337e6i −0.0961789 0.213926i
\(701\) 5.29211e6 + 1.27763e7i 0.406756 + 0.981995i 0.985986 + 0.166831i \(0.0533534\pi\)
−0.579230 + 0.815164i \(0.696647\pi\)
\(702\) 3.63958e6 780531.i 0.278746 0.0597788i
\(703\) 2.32437e6 0.177385
\(704\) 1.73823e7 + 1.45212e7i 1.32183 + 1.10426i
\(705\) −1.05208e7 −0.797219
\(706\) 2.89341e6 620510.i 0.218473 0.0468530i
\(707\) 2.33629e6 + 5.64031e6i 0.175784 + 0.424379i
\(708\) 9.20541e6 + 2.04751e7i 0.690176 + 1.53513i
\(709\) −3.33843e6 1.38282e6i −0.249417 0.103312i 0.254473 0.967080i \(-0.418098\pi\)
−0.503890 + 0.863768i \(0.668098\pi\)
\(710\) 2.42342e6 + 3.51241e6i 0.180419 + 0.261493i
\(711\) −3.62785e6 3.62785e6i −0.269138 0.269138i
\(712\) 1.36667e7 + 2.08829e6i 1.01033 + 0.154380i
\(713\) 1.05866e7 1.05866e7i 0.779888 0.779888i
\(714\) −2.73967e6 502621.i −0.201119 0.0368973i
\(715\) 2.67460e6 6.45706e6i 0.195656 0.472356i
\(716\) −3.89155e6 + 4.13080e6i −0.283688 + 0.301128i
\(717\) 2.31222e7 9.57751e6i 1.67970 0.695753i
\(718\) −1.34960e7 8.72957e6i −0.976997 0.631949i
\(719\) 5.35530e6i 0.386333i −0.981166 0.193166i \(-0.938124\pi\)
0.981166 0.193166i \(-0.0618757\pi\)
\(720\) −1.45818e6 + 4.21486e6i −0.104828 + 0.303007i
\(721\) 539399.i 0.0386431i
\(722\) 7.03790e6 1.08806e7i 0.502459 0.776804i
\(723\) 2.33697e6 968007.i 0.166268 0.0688704i
\(724\) −638579. 2.14127e7i −0.0452760 1.51819i
\(725\) 6.06649e6 1.46458e7i 0.428640 1.03483i
\(726\) −6.28710e6 + 3.42695e7i −0.442699 + 2.41305i
\(727\) −1.58099e7 + 1.58099e7i −1.10942 + 1.10942i −0.116189 + 0.993227i \(0.537068\pi\)
−0.993227 + 0.116189i \(0.962932\pi\)
\(728\) 2.51189e6 617552.i 0.175660 0.0431862i
\(729\) −29432.0 29432.0i −0.00205117 0.00205117i
\(730\) −1.02488e6 + 707124.i −0.0711812 + 0.0491121i
\(731\) −1.09184e7 4.52253e6i −0.755725 0.313031i
\(732\) −3.10357e6 + 8.17374e6i −0.214084 + 0.563823i
\(733\) 3.77384e6 + 9.11087e6i 0.259432 + 0.626325i 0.998901 0.0468657i \(-0.0149233\pi\)
−0.739469 + 0.673191i \(0.764923\pi\)
\(734\) 1.47519e6 + 6.87874e6i 0.101067 + 0.471269i
\(735\) 9.23234e6 0.630367
\(736\) 2.46329e6 + 8.87001e6i 0.167618 + 0.603572i
\(737\) 2.05258e7 1.39197
\(738\) −34078.0 158904.i −0.00230321 0.0107398i
\(739\) −6.13604e6 1.48137e7i −0.413311 0.997822i −0.984242 0.176824i \(-0.943418\pi\)
0.570931 0.820998i \(-0.306582\pi\)
\(740\) −5.20460e6 1.97619e6i −0.349388 0.132663i
\(741\) 2.42707e6 + 1.00533e6i 0.162382 + 0.0672608i
\(742\) −6.00234e6 + 4.14137e6i −0.400231 + 0.276143i
\(743\) −1.87556e7 1.87556e7i −1.24641 1.24641i −0.957296 0.289111i \(-0.906640\pi\)
−0.289111 0.957296i \(-0.593360\pi\)
\(744\) −2.83701e7 1.71732e7i −1.87901 1.13742i
\(745\) 1.01828e6 1.01828e6i 0.0672167 0.0672167i
\(746\) −2.31856e6 + 1.26379e7i −0.152536 + 0.831437i
\(747\) 559750. 1.35136e6i 0.0367023 0.0886071i
\(748\) 1.22928e7 366601.i 0.803335 0.0239574i
\(749\) −5.85303e6 + 2.42440e6i −0.381220 + 0.157907i
\(750\) −1.00336e7 + 1.55120e7i −0.651333 + 1.00696i
\(751\) 523217.i 0.0338518i −0.999857 0.0169259i \(-0.994612\pi\)
0.999857 0.0169259i \(-0.00538794\pi\)
\(752\) 1.28596e7 + 1.14107e7i 0.829247 + 0.735816i
\(753\) 1.50285e7i 0.965893i
\(754\) 1.13230e7 + 7.32403e6i 0.725325 + 0.469161i
\(755\) −5.99295e6 + 2.48236e6i −0.382625 + 0.158488i
\(756\) 2.22437e6 + 2.09554e6i 0.141547 + 0.133349i
\(757\) 8.31617e6 2.00770e7i 0.527453 1.27338i −0.405733 0.913991i \(-0.632984\pi\)
0.933186 0.359393i \(-0.117016\pi\)
\(758\) 7.41016e6 + 1.35947e6i 0.468441 + 0.0859403i
\(759\) −1.51049e7 + 1.51049e7i −0.951729 + 0.951729i
\(760\) 2.02363e6 1.48717e6i 0.127086 0.0933957i
\(761\) −1.92478e6 1.92478e6i −0.120481 0.120481i 0.644295 0.764777i \(-0.277151\pi\)
−0.764777 + 0.644295i \(0.777151\pi\)
\(762\) −4.18696e6 6.06841e6i −0.261223 0.378606i
\(763\) 6.62713e6 + 2.74505e6i 0.412111 + 0.170702i
\(764\) 8.27139e6 3.71873e6i 0.512679 0.230495i
\(765\) 926730. + 2.23733e6i 0.0572532 + 0.138221i
\(766\) −4.56137e6 + 978214.i −0.280882 + 0.0602368i
\(767\) −1.13199e7 −0.694792
\(768\) 1.77767e7 9.98917e6i 1.08754 0.611120i
\(769\) −2.08110e7 −1.26904 −0.634521 0.772905i \(-0.718803\pi\)
−0.634521 + 0.772905i \(0.718803\pi\)
\(770\) 5.61037e6 1.20318e6i 0.341008 0.0731314i
\(771\) −5.56081e6 1.34250e7i −0.336901 0.813351i
\(772\) 8.18255e6 3.67879e6i 0.494135 0.222158i
\(773\) 7.43658e6 + 3.08033e6i 0.447636 + 0.185417i 0.595102 0.803650i \(-0.297112\pi\)
−0.147466 + 0.989067i \(0.547112\pi\)
\(774\) −9.22917e6 1.33764e7i −0.553746 0.802577i
\(775\) −1.39001e7 1.39001e7i −0.831312 0.831312i
\(776\) −4.46804e6 + 3.28358e6i −0.266356 + 0.195746i
\(777\) 3.38080e6 3.38080e6i 0.200894 0.200894i
\(778\) 7.32962e6 + 1.34469e6i 0.434142 + 0.0796480i
\(779\) −35019.5 + 84544.6i −0.00206760 + 0.00499163i
\(780\) −4.57984e6 4.31459e6i −0.269534 0.253923i
\(781\) 1.49496e7 6.19233e6i 0.877005 0.363267i
\(782\) 4.19702e6 + 2.71475e6i 0.245428 + 0.158750i
\(783\) 1.59318e7i 0.928670i
\(784\) −1.12847e7 1.00132e7i −0.655691 0.581815i
\(785\) 1.26158e6i 0.0730701i
\(786\) −2.03978e7 + 3.15351e7i −1.17768 + 1.82070i
\(787\) −4.78265e6 + 1.98104e6i −0.275253 + 0.114013i −0.516040 0.856565i \(-0.672594\pi\)
0.240787 + 0.970578i \(0.422594\pi\)
\(788\) −2.08300e7 + 621201.i −1.19501 + 0.0356383i
\(789\) 1.04595e7 2.52514e7i 0.598159 1.44408i
\(790\) 1.24858e6 6.80574e6i 0.0711787 0.387978i
\(791\) 6.58704e6 6.58704e6i 0.374325 0.374325i
\(792\) 1.44677e7 + 8.75769e6i 0.819569 + 0.496108i
\(793\) −3.11739e6 3.11739e6i −0.176039 0.176039i
\(794\) −5.66569e6 + 3.90910e6i −0.318935 + 0.220052i
\(795\) 1.63884e7 + 6.78830e6i 0.919642 + 0.380928i
\(796\) 2.12384e6 + 806423.i 0.118806 + 0.0451108i
\(797\) −3.33614e6 8.05415e6i −0.186036 0.449132i 0.803153 0.595772i \(-0.203154\pi\)
−0.989190 + 0.146641i \(0.953154\pi\)
\(798\) 452250. + 2.10882e6i 0.0251404 + 0.117228i
\(799\) 9.33503e6 0.517307
\(800\) 1.16462e7 3.23427e6i 0.643370 0.178670i
\(801\) 1.03229e7 0.568488
\(802\) −891192. 4.15559e6i −0.0489255 0.228137i
\(803\) 1.80684e6 + 4.36211e6i 0.0988853 + 0.238730i
\(804\) 6.55952e6 1.72755e7i 0.357875 0.942519i
\(805\) 2.15460e6 + 892463.i 0.117186 + 0.0485401i
\(806\) 1.37640e7 9.49659e6i 0.746288 0.514908i
\(807\) 1.99270e7 + 1.99270e7i 1.07710 + 1.07710i
\(808\) −2.35656e7 + 5.79362e6i −1.26984 + 0.312192i
\(809\) 1.89190e7 1.89190e7i 1.01631 1.01631i 0.0164464 0.999865i \(-0.494765\pi\)
0.999865 0.0164464i \(-0.00523528\pi\)
\(810\) 2.42175e6 1.32004e7i 0.129693 0.706928i
\(811\) 1.01399e7 2.44798e7i 0.541352 1.30694i −0.382418 0.923990i \(-0.624908\pi\)
0.923769 0.382949i \(-0.125092\pi\)
\(812\) 330024. + 1.10663e7i 0.0175653 + 0.588996i
\(813\) −1.84744e7 + 7.65233e6i −0.980264 + 0.406039i
\(814\) −1.14653e7 + 1.77254e7i −0.606489 + 0.937636i
\(815\) 5.60945e6i 0.295819i
\(816\) 3.61992e6 1.04634e7i 0.190315 0.550106i
\(817\) 9.15082e6i 0.479628i
\(818\) −4.56765e6 2.95448e6i −0.238676 0.154383i
\(819\) 1.78439e6 739118.i 0.0929564 0.0385038i
\(820\) 150294. 159534.i 0.00780562 0.00828550i
\(821\) −1.09168e7 + 2.63554e7i −0.565245 + 1.36462i 0.340279 + 0.940325i \(0.389479\pi\)
−0.905523 + 0.424297i \(0.860521\pi\)
\(822\) 2.52334e7 + 4.62934e6i 1.30256 + 0.238968i
\(823\) 1.71023e7 1.71023e7i 0.880146 0.880146i −0.113403 0.993549i \(-0.536175\pi\)
0.993549 + 0.113403i \(0.0361751\pi\)
\(824\) −2.11949e6 323863.i −0.108746 0.0166166i
\(825\) 1.98326e7 + 1.98326e7i 1.01448 + 1.01448i
\(826\) −5.27781e6 7.64945e6i −0.269156 0.390104i
\(827\) −2.30467e7 9.54625e6i −1.17178 0.485365i −0.289996 0.957028i \(-0.593654\pi\)
−0.881779 + 0.471662i \(0.843654\pi\)
\(828\) 2.81855e6 + 6.26916e6i 0.142873 + 0.317785i
\(829\) 8.26757e6 + 1.99597e7i 0.417822 + 1.00871i 0.982977 + 0.183728i \(0.0588165\pi\)
−0.565155 + 0.824985i \(0.691184\pi\)
\(830\) 1.92881e6 413646.i 0.0971840 0.0208417i
\(831\) −1.40957e7 −0.708084
\(832\) 918408. + 1.02409e7i 0.0459968 + 0.512898i
\(833\) −8.19175e6 −0.409039
\(834\) 4.09177e7 8.77506e6i 2.03702 0.436853i
\(835\) −3.09146e6 7.46344e6i −0.153443 0.370444i
\(836\) −3.90483e6 8.68533e6i −0.193235 0.429804i
\(837\) 1.82523e7 + 7.56033e6i 0.900540 + 0.373016i
\(838\) −1.31132e7 1.90057e7i −0.645056 0.934919i
\(839\) −1.49883e7 1.49883e7i −0.735103 0.735103i 0.236523 0.971626i \(-0.423992\pi\)
−0.971626 + 0.236523i \(0.923992\pi\)
\(840\) 780279. 5.10647e6i 0.0381550 0.249702i
\(841\) −2.63090e7 + 2.63090e7i −1.28267 + 1.28267i
\(842\) −2.40844e7 4.41853e6i −1.17073 0.214782i
\(843\) −8.74372e6 + 2.11092e7i −0.423767 + 1.02306i
\(844\) −2.39267e7 + 2.53976e7i −1.15618 + 1.22726i
\(845\) −8.12252e6 + 3.36446e6i −0.391335 + 0.162096i
\(846\) 1.07787e7 + 6.97195e6i 0.517773 + 0.334910i
\(847\) 1.44236e7i 0.690819i
\(848\) −1.26691e7 2.60719e7i −0.604999 1.24504i
\(849\) 6.97222e6i 0.331972i
\(850\) 3.56444e6 5.51065e6i 0.169217 0.261611i
\(851\) −7.92688e6 + 3.28342e6i −0.375213 + 0.155418i
\(852\) −434251. 1.45612e7i −0.0204947 0.687225i
\(853\) −5.30170e6 + 1.27994e7i −0.249484 + 0.602308i −0.998160 0.0606278i \(-0.980690\pi\)
0.748676 + 0.662936i \(0.230690\pi\)
\(854\) 653127. 3.56004e6i 0.0306445 0.167036i
\(855\) 1.32592e6 1.32592e6i 0.0620300 0.0620300i
\(856\) −6.01212e6 2.44543e7i −0.280442 1.14070i
\(857\) −7.10739e6 7.10739e6i −0.330566 0.330566i 0.522236 0.852801i \(-0.325098\pi\)
−0.852801 + 0.522236i \(0.825098\pi\)
\(858\) −1.96384e7 + 1.35497e7i −0.910725 + 0.628363i
\(859\) 3.29433e7 + 1.36456e7i 1.52330 + 0.630970i 0.978249 0.207435i \(-0.0665115\pi\)
0.545048 + 0.838405i \(0.316512\pi\)
\(860\) 7.78007e6 2.04900e7i 0.358705 0.944705i
\(861\) 72034.4 + 173906.i 0.00331156 + 0.00799481i
\(862\) −4.68549e6 2.18482e7i −0.214776 1.00149i
\(863\) 3.46199e7 1.58234 0.791169 0.611598i \(-0.209473\pi\)
0.791169 + 0.611598i \(0.209473\pi\)
\(864\) −9.56968e6 + 7.48216e6i −0.436127 + 0.340991i
\(865\) −1.94128e7 −0.882163
\(866\) 6.69303e6 + 3.12093e7i 0.303269 + 1.41413i
\(867\) 8.26570e6 + 1.99552e7i 0.373449 + 0.901587i
\(868\) 1.28347e7 + 4.87333e6i 0.578210 + 0.219547i
\(869\) −2.42403e7 1.00407e7i −1.08890 0.451038i
\(870\) 2.21665e7 1.52940e7i 0.992884 0.685050i
\(871\) 6.58873e6 + 6.58873e6i 0.294277 + 0.294277i
\(872\) −1.47653e7 + 2.43923e7i −0.657585 + 1.08633i
\(873\) −2.92754e6 + 2.92754e6i −0.130007 + 0.130007i
\(874\) 698410. 3.80687e6i 0.0309266 0.168574i
\(875\) 2.92672e6 7.06573e6i 0.129229 0.311987i
\(876\) 4.24878e6 126709.i 0.187070 0.00557889i
\(877\) −6.84830e6 + 2.83666e6i −0.300666 + 0.124540i −0.527916 0.849297i \(-0.677026\pi\)
0.227250 + 0.973836i \(0.427026\pi\)
\(878\) 1.26967e7 1.96291e7i 0.555844 0.859339i
\(879\) 2.05302e7i 0.896233i
\(880\) 1.35918e6 + 2.27676e7i 0.0591658 + 0.991085i
\(881\) 8.43795e6i 0.366267i 0.983088 + 0.183133i \(0.0586240\pi\)
−0.983088 + 0.183133i \(0.941376\pi\)
\(882\) −9.45860e6 6.11808e6i −0.409407 0.264816i
\(883\) −3.73655e7 + 1.54773e7i −1.61276 + 0.668027i −0.993146 0.116881i \(-0.962710\pi\)
−0.619613 + 0.784907i \(0.712710\pi\)
\(884\) 4.06364e6 + 3.82828e6i 0.174898 + 0.164768i
\(885\) −8.65108e6 + 2.08856e7i −0.371289 + 0.896372i
\(886\) −3.74383e6 686844.i −0.160225 0.0293950i
\(887\) 1.32756e7 1.32756e7i 0.566559 0.566559i −0.364604 0.931163i \(-0.618796\pi\)
0.931163 + 0.364604i \(0.118796\pi\)
\(888\) 1.12545e7 + 1.53143e7i 0.478955 + 0.651725i
\(889\) 2.15817e6 + 2.15817e6i 0.0915866 + 0.0915866i
\(890\) 7.90635e6 + 1.14591e7i 0.334581 + 0.484928i
\(891\) −4.70165e7 1.94749e7i −1.98407 0.821827i
\(892\) 1.05933e7 4.76265e6i 0.445780 0.200418i
\(893\) −2.76613e6 6.67804e6i −0.116077 0.280234i
\(894\) −4.80678e6 + 1.03084e6i −0.201146 + 0.0431369i
\(895\) −5.71489e6 −0.238479
\(896\) −6.49213e6 + 5.39536e6i −0.270158 + 0.224518i
\(897\) −9.69727e6 −0.402410
\(898\) −2.63607e7 + 5.65323e6i −1.09085 + 0.233941i
\(899\) 2.73895e7 + 6.61240e7i 1.13028 + 2.72873i
\(900\) 8.23136e6 3.70073e6i 0.338739 0.152294i
\(901\) −1.45412e7 6.02318e6i −0.596746 0.247180i
\(902\) −471989. 684082.i −0.0193159 0.0279957i
\(903\) 1.33099e7 + 1.33099e7i 0.543194 + 0.543194i
\(904\) 2.19279e7 + 2.98379e7i 0.892435 + 1.21436i
\(905\) 1.52538e7 1.52538e7i 0.619093 0.619093i
\(906\) 2.17807e7 + 3.99590e6i 0.881560 + 0.161731i
\(907\) −6.96066e6 + 1.68045e7i −0.280952 + 0.678278i −0.999858 0.0168289i \(-0.994643\pi\)
0.718906 + 0.695107i \(0.244643\pi\)
\(908\) −912745. 859881.i −0.0367396 0.0346118i
\(909\) −1.67404e7 + 6.93410e6i −0.671980 + 0.278343i
\(910\) 2.18714e6 + 1.41470e6i 0.0875533 + 0.0566319i
\(911\) 4.82154e7i 1.92482i −0.271601 0.962410i \(-0.587553\pi\)
0.271601 0.962410i \(-0.412447\pi\)
\(912\) −8.55788e6 + 510888.i −0.340705 + 0.0203394i
\(913\) 7.48020e6i 0.296986i
\(914\) −6.35957e6 + 9.83193e6i −0.251804 + 0.389290i
\(915\) −8.13411e6 + 3.36926e6i −0.321186 + 0.133040i
\(916\) 4.15999e7 1.24061e6i 1.63815 0.0488536i
\(917\) 5.94988e6 1.43643e7i 0.233660 0.564106i
\(918\) −1.19021e6 + 6.48754e6i −0.0466139 + 0.254082i
\(919\) 1.75181e7 1.75181e7i 0.684224 0.684224i −0.276725 0.960949i \(-0.589249\pi\)
0.960949 + 0.276725i \(0.0892491\pi\)
\(920\) −4.80046e6 + 7.93035e6i −0.186988 + 0.308903i
\(921\) 7.64082e6 + 7.64082e6i 0.296819 + 0.296819i
\(922\) 3.20864e7 2.21383e7i 1.24306 0.857663i
\(923\) 6.78651e6 + 2.81107e6i 0.262206 + 0.108609i
\(924\) −1.83124e7 6.95324e6i −0.705612 0.267921i
\(925\) 4.31110e6 + 1.04079e7i 0.165666 + 0.399954i
\(926\) −3.16984e6 1.47808e7i −0.121481 0.566462i
\(927\) −1.60093e6 −0.0611891
\(928\) −4.36817e7 5.34758e6i −1.66506 0.203839i
\(929\) −3.02427e7 −1.14969 −0.574846 0.818262i \(-0.694938\pi\)
−0.574846 + 0.818262i \(0.694938\pi\)
\(930\) −7.00255e6 3.26526e7i −0.265490 1.23797i
\(931\) 2.42736e6 + 5.86017e6i 0.0917826 + 0.221583i
\(932\) 1.10307e6 2.90511e6i 0.0415973 0.109553i
\(933\) −1.66616e7 6.90146e6i −0.626632 0.259559i
\(934\) 1.61031e7 1.11105e7i 0.604008 0.416741i
\(935\) 8.75703e6 + 8.75703e6i 0.327588 + 0.327588i
\(936\) 1.83289e6 + 7.45529e6i 0.0683828 + 0.278147i
\(937\) 1.44061e7 1.44061e7i 0.536042 0.536042i −0.386322 0.922364i \(-0.626255\pi\)
0.922364 + 0.386322i \(0.126255\pi\)
\(938\) −1.38041e6 + 7.52428e6i −0.0512271 + 0.279227i
\(939\) 1.34034e7 3.23586e7i 0.496078 1.19764i
\(940\) 516074. + 1.73049e7i 0.0190499 + 0.638777i
\(941\) 4.07156e7 1.68650e7i 1.49895 0.620885i 0.525707 0.850666i \(-0.323801\pi\)
0.973242 + 0.229781i \(0.0738009\pi\)
\(942\) 2.33906e6 3.61620e6i 0.0858843 0.132778i
\(943\) 337794.i 0.0123701i
\(944\) 3.32264e7 1.61456e7i 1.21354 0.589690i
\(945\) 3.07737e6i 0.112099i
\(946\) −6.97830e7 4.51376e7i −2.53526 1.63987i
\(947\) 590594. 244632.i 0.0214000 0.00886418i −0.371958 0.928250i \(-0.621313\pi\)
0.393358 + 0.919385i \(0.371313\pi\)
\(948\) −1.61973e7 + 1.71931e7i −0.585358 + 0.621345i
\(949\) −820234. + 1.98022e6i −0.0295646 + 0.0713753i
\(950\) −4.99839e6 917006.i −0.179689 0.0329658i
\(951\) 1.47195e7 1.47195e7i 0.527767 0.527767i
\(952\) −692332. + 4.53091e6i −0.0247584 + 0.162029i
\(953\) 2.72835e7 + 2.72835e7i 0.973123 + 0.973123i 0.999648 0.0265248i \(-0.00844409\pi\)
−0.0265248 + 0.999648i \(0.508444\pi\)
\(954\) −1.22916e7 1.78149e7i −0.437256 0.633742i
\(955\) 8.43719e6 + 3.49480e6i 0.299357 + 0.123998i
\(956\) −1.68875e7 3.75620e7i −0.597613 1.32924i
\(957\) −3.90791e7 9.43454e7i −1.37932 3.32997i
\(958\) 2.77852e7 5.95870e6i 0.978136 0.209767i
\(959\) −1.06204e7 −0.372902
\(960\) 1.95967e7 + 6.13200e6i 0.686286 + 0.214746i
\(961\) 6.01231e7 2.10006
\(962\) −9.37012e6 + 2.00948e6i −0.326443 + 0.0700078i
\(963\) −7.19562e6 1.73718e7i −0.250036 0.603640i
\(964\) −1.70683e6 3.79642e6i −0.0591559 0.131577i
\(965\) 8.34657e6 + 3.45726e6i 0.288529 + 0.119513i
\(966\) −4.52127e6 6.55295e6i −0.155890 0.225940i
\(967\) 1.48403e7 + 1.48403e7i 0.510359 + 0.510359i 0.914636 0.404277i \(-0.132477\pi\)
−0.404277 + 0.914636i \(0.632477\pi\)
\(968\) 5.66755e7 + 8.66013e6i 1.94405 + 0.297054i
\(969\) −3.29159e6 + 3.29159e6i −0.112615 + 0.112615i
\(970\) −5.49198e6 1.00756e6i −0.187413 0.0343829i
\(971\) −1.50127e7 + 3.62438e7i −0.510986 + 1.23363i 0.432324 + 0.901718i \(0.357694\pi\)
−0.943310 + 0.331912i \(0.892306\pi\)
\(972\) −2.02345e7 + 2.14785e7i −0.686953 + 0.729186i
\(973\) −1.60054e7 + 6.62967e6i −0.541983 + 0.224497i
\(974\) −1.74631e6 1.12956e6i −0.0589825 0.0381515i
\(975\) 1.27324e7i 0.428943i
\(976\) 1.35966e7 + 4.70387e6i 0.456882 + 0.158063i
\(977\) 1.13709e7i 0.381118i 0.981676 + 0.190559i \(0.0610300\pi\)
−0.981676 + 0.190559i \(0.938970\pi\)
\(978\) 1.04003e7 1.60790e7i 0.347696 0.537541i
\(979\) 4.87727e7 2.02023e7i 1.62637 0.673665i
\(980\) −452870. 1.51855e7i −0.0150629 0.505085i
\(981\) −8.14729e6 + 1.96693e7i −0.270297 + 0.652554i
\(982\) 1.83429e6 9.99828e6i 0.0607001 0.330862i
\(983\) 6.04255e6 6.04255e6i 0.199451 0.199451i −0.600314 0.799765i \(-0.704958\pi\)
0.799765 + 0.600314i \(0.204958\pi\)
\(984\) −726593. + 178634.i −0.0239223 + 0.00588133i
\(985\) −1.48387e7 1.48387e7i −0.487309 0.487309i
\(986\) −1.96681e7 + 1.35702e7i −0.644272 + 0.444521i
\(987\) −1.37366e7 5.68988e6i −0.448834 0.185913i
\(988\) 1.53453e6 4.04141e6i 0.0500129 0.131717i
\(989\) −1.29265e7 3.12074e7i −0.420233 1.01453i
\(990\) 3.57103e6 + 1.66516e7i 0.115799 + 0.539967i
\(991\) 3.24589e7 1.04990 0.524952 0.851132i \(-0.324083\pi\)
0.524952 + 0.851132i \(0.324083\pi\)
\(992\) −2.68552e7 + 4.75061e7i −0.866462 + 1.53275i
\(993\) −8.10916e6 −0.260977
\(994\) 1.26457e6 + 5.89663e6i 0.0405954 + 0.189294i
\(995\) 875458. + 2.11354e6i 0.0280335 + 0.0676789i
\(996\) −6.29570e6 2.39048e6i −0.201092 0.0763549i
\(997\) −4.28539e7 1.77506e7i −1.36538 0.565557i −0.424845 0.905266i \(-0.639671\pi\)
−0.940530 + 0.339709i \(0.889671\pi\)
\(998\) −7.94333e6 + 5.48058e6i −0.252451 + 0.174181i
\(999\) −8.00574e6 8.00574e6i −0.253798 0.253798i
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 32.6.g.a.5.1 76
4.3 odd 2 128.6.g.a.113.4 76
32.13 even 8 inner 32.6.g.a.13.1 yes 76
32.19 odd 8 128.6.g.a.17.4 76
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
32.6.g.a.5.1 76 1.1 even 1 trivial
32.6.g.a.13.1 yes 76 32.13 even 8 inner
128.6.g.a.17.4 76 32.19 odd 8
128.6.g.a.113.4 76 4.3 odd 2