Properties

Label 76.6.f.a.27.16
Level $76$
Weight $6$
Character 76.27
Analytic conductor $12.189$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.1891703058\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(48\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.16
Character \(\chi\) \(=\) 76.27
Dual form 76.6.f.a.31.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.77038 + 4.93204i) q^{2} +(-1.48160 + 2.56620i) q^{3} +(-16.6500 - 27.3272i) q^{4} +(-49.5981 + 85.9065i) q^{5} +(-8.55202 - 14.4167i) q^{6} +147.623i q^{7} +(180.906 - 6.41167i) q^{8} +(117.110 + 202.840i) q^{9} +O(q^{10})\) \(q+(-2.77038 + 4.93204i) q^{2} +(-1.48160 + 2.56620i) q^{3} +(-16.6500 - 27.3272i) q^{4} +(-49.5981 + 85.9065i) q^{5} +(-8.55202 - 14.4167i) q^{6} +147.623i q^{7} +(180.906 - 6.41167i) q^{8} +(117.110 + 202.840i) q^{9} +(-286.288 - 482.613i) q^{10} -472.824i q^{11} +(94.7958 - 2.23932i) q^{12} +(-652.215 + 376.557i) q^{13} +(-728.084 - 408.973i) q^{14} +(-146.969 - 254.558i) q^{15} +(-469.555 + 909.997i) q^{16} +(322.528 - 558.635i) q^{17} +(-1324.85 + 15.6460i) q^{18} +(-305.450 - 1543.63i) q^{19} +(3173.39 - 74.9637i) q^{20} +(-378.832 - 218.718i) q^{21} +(2331.99 + 1309.90i) q^{22} +(-256.967 + 148.360i) q^{23} +(-251.576 + 473.740i) q^{24} +(-3357.45 - 5815.27i) q^{25} +(-50.3085 - 4259.95i) q^{26} -1414.09 q^{27} +(4034.14 - 2457.93i) q^{28} +(-155.910 + 90.0149i) q^{29} +(1662.65 - 19.6353i) q^{30} +8514.58 q^{31} +(-3187.29 - 4836.90i) q^{32} +(1213.36 + 700.535i) q^{33} +(1861.68 + 3138.35i) q^{34} +(-12681.8 - 7321.84i) q^{35} +(3593.18 - 6577.57i) q^{36} +8785.72i q^{37} +(8459.46 + 2769.95i) q^{38} -2231.62i q^{39} +(-8421.78 + 15859.0i) q^{40} +(-7674.20 - 4430.70i) q^{41} +(2128.23 - 1262.48i) q^{42} +(8297.47 + 4790.55i) q^{43} +(-12921.0 + 7872.52i) q^{44} -23233.7 q^{45} +(-19.8211 - 1678.39i) q^{46} +(-11289.5 + 6518.00i) q^{47} +(-1639.55 - 2553.22i) q^{48} -4985.66 q^{49} +(37982.5 - 448.560i) q^{50} +(955.713 + 1655.34i) q^{51} +(21149.6 + 11553.6i) q^{52} +(-15323.1 + 8846.79i) q^{53} +(3917.58 - 6974.37i) q^{54} +(40618.6 + 23451.2i) q^{55} +(946.513 + 26705.9i) q^{56} +(4413.83 + 1503.20i) q^{57} +(-12.0261 - 1018.33i) q^{58} +(-444.820 + 770.450i) q^{59} +(-4509.32 + 8254.64i) q^{60} +(-14837.5 - 25699.3i) q^{61} +(-23588.6 + 41994.2i) q^{62} +(-29943.9 + 17288.1i) q^{63} +(32685.8 - 2319.82i) q^{64} -74706.0i q^{65} +(-6816.54 + 4043.60i) q^{66} +(-6118.92 - 10598.3i) q^{67} +(-20636.0 + 487.475i) q^{68} -879.240i q^{69} +(71245.0 - 42262.9i) q^{70} +(-14195.8 + 24587.8i) q^{71} +(22486.4 + 35944.1i) q^{72} +(-30524.5 + 52869.9i) q^{73} +(-43331.5 - 24339.8i) q^{74} +19897.6 q^{75} +(-37097.4 + 34048.6i) q^{76} +69799.9 q^{77} +(11006.4 + 6182.44i) q^{78} +(-1676.16 + 2903.20i) q^{79} +(-54885.6 - 85471.9i) q^{80} +(-26362.5 + 45661.3i) q^{81} +(43112.8 - 25574.7i) q^{82} -62694.8i q^{83} +(330.576 + 13994.1i) q^{84} +(31993.5 + 55414.4i) q^{85} +(-46614.3 + 27651.8i) q^{86} -533.463i q^{87} +(-3031.59 - 85536.6i) q^{88} +(43850.8 - 25317.3i) q^{89} +(64366.1 - 114589. i) q^{90} +(-55588.5 - 96282.2i) q^{91} +(8332.77 + 4552.00i) q^{92} +(-12615.2 + 21850.1i) q^{93} +(-870.813 - 73737.6i) q^{94} +(147758. + 50321.1i) q^{95} +(17134.8 - 1012.91i) q^{96} +(120497. + 69568.7i) q^{97} +(13812.2 - 24589.5i) q^{98} +(95907.6 - 55372.3i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + O(q^{10}) \) \( 96q - 3q^{2} - 11q^{4} - 2q^{5} - 27q^{6} - 3588q^{9} + 648q^{10} - 354q^{13} + 2154q^{14} - 611q^{16} - 1006q^{17} + 10524q^{20} + 7824q^{21} + 93q^{22} - 5311q^{24} - 25002q^{25} - 13428q^{26} + 1556q^{28} - 6q^{29} - 12656q^{30} - 30453q^{32} + 8586q^{33} + 30102q^{34} - 2306q^{36} + 29846q^{38} - 1392q^{40} + 29064q^{41} + 18616q^{42} + 9155q^{44} + 13464q^{45} + 38217q^{48} - 116224q^{49} + 36858q^{52} + 26262q^{53} - 26355q^{54} + 53974q^{57} - 112740q^{58} - 108810q^{60} - 77370q^{61} - 106848q^{62} + 337966q^{64} + 166855q^{66} + 175796q^{68} + 148122q^{70} - 259842q^{72} - 52040q^{73} + 103690q^{74} - 194709q^{76} + 197584q^{77} + 253206q^{78} - 171934q^{80} - 313100q^{81} + 63919q^{82} - 161762q^{85} - 38442q^{86} + 10482q^{89} - 372450q^{90} + 64544q^{92} + 94012q^{93} + 537614q^{96} + 177180q^{97} - 509397q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.77038 + 4.93204i −0.489738 + 0.871869i
\(3\) −1.48160 + 2.56620i −0.0950446 + 0.164622i −0.909627 0.415426i \(-0.863633\pi\)
0.814583 + 0.580048i \(0.196966\pi\)
\(4\) −16.6500 27.3272i −0.520313 0.853976i
\(5\) −49.5981 + 85.9065i −0.887238 + 1.53674i −0.0441117 + 0.999027i \(0.514046\pi\)
−0.843127 + 0.537715i \(0.819288\pi\)
\(6\) −8.55202 14.4167i −0.0969819 0.163488i
\(7\) 147.623i 1.13870i 0.822095 + 0.569351i \(0.192805\pi\)
−0.822095 + 0.569351i \(0.807195\pi\)
\(8\) 180.906 6.41167i 0.999373 0.0354198i
\(9\) 117.110 + 202.840i 0.481933 + 0.834733i
\(10\) −286.288 482.613i −0.905323 1.52616i
\(11\) 472.824i 1.17820i −0.808061 0.589098i \(-0.799483\pi\)
0.808061 0.589098i \(-0.200517\pi\)
\(12\) 94.7958 2.23932i 0.190036 0.00448914i
\(13\) −652.215 + 376.557i −1.07037 + 0.617976i −0.928282 0.371878i \(-0.878714\pi\)
−0.142085 + 0.989854i \(0.545381\pi\)
\(14\) −728.084 408.973i −0.992799 0.557666i
\(15\) −146.969 254.558i −0.168654 0.292118i
\(16\) −469.555 + 909.997i −0.458550 + 0.888669i
\(17\) 322.528 558.635i 0.270673 0.468819i −0.698361 0.715745i \(-0.746087\pi\)
0.969034 + 0.246926i \(0.0794205\pi\)
\(18\) −1324.85 + 15.6460i −0.963799 + 0.0113821i
\(19\) −305.450 1543.63i −0.194114 0.980979i
\(20\) 3173.39 74.9637i 1.77398 0.0419060i
\(21\) −378.832 218.718i −0.187455 0.108227i
\(22\) 2331.99 + 1309.90i 1.02723 + 0.577008i
\(23\) −256.967 + 148.360i −0.101288 + 0.0584787i −0.549788 0.835304i \(-0.685292\pi\)
0.448500 + 0.893783i \(0.351958\pi\)
\(24\) −251.576 + 473.740i −0.0891540 + 0.167885i
\(25\) −3357.45 5815.27i −1.07438 1.86089i
\(26\) −50.3085 4259.95i −0.0145951 1.23587i
\(27\) −1414.09 −0.373310
\(28\) 4034.14 2457.93i 0.972424 0.592481i
\(29\) −155.910 + 90.0149i −0.0344255 + 0.0198756i −0.517114 0.855917i \(-0.672994\pi\)
0.482688 + 0.875792i \(0.339660\pi\)
\(30\) 1662.65 19.6353i 0.337285 0.00398321i
\(31\) 8514.58 1.59132 0.795662 0.605740i \(-0.207123\pi\)
0.795662 + 0.605740i \(0.207123\pi\)
\(32\) −3187.29 4836.90i −0.550234 0.835011i
\(33\) 1213.36 + 700.535i 0.193957 + 0.111981i
\(34\) 1861.68 + 3138.35i 0.276190 + 0.465590i
\(35\) −12681.8 7321.84i −1.74989 1.01030i
\(36\) 3593.18 6577.57i 0.462086 0.845881i
\(37\) 8785.72i 1.05505i 0.849540 + 0.527525i \(0.176880\pi\)
−0.849540 + 0.527525i \(0.823120\pi\)
\(38\) 8459.46 + 2769.95i 0.950351 + 0.311181i
\(39\) 2231.62i 0.234941i
\(40\) −8421.78 + 15859.0i −0.832250 + 1.56720i
\(41\) −7674.20 4430.70i −0.712974 0.411636i 0.0991874 0.995069i \(-0.468376\pi\)
−0.812161 + 0.583433i \(0.801709\pi\)
\(42\) 2128.23 1262.48i 0.186164 0.110433i
\(43\) 8297.47 + 4790.55i 0.684344 + 0.395106i 0.801490 0.598009i \(-0.204041\pi\)
−0.117146 + 0.993115i \(0.537374\pi\)
\(44\) −12921.0 + 7872.52i −1.00615 + 0.613030i
\(45\) −23233.7 −1.71036
\(46\) −19.8211 1678.39i −0.00138113 0.116949i
\(47\) −11289.5 + 6518.00i −0.745470 + 0.430397i −0.824055 0.566510i \(-0.808293\pi\)
0.0785848 + 0.996907i \(0.474960\pi\)
\(48\) −1639.55 2553.22i −0.102712 0.159951i
\(49\) −4985.66 −0.296642
\(50\) 37982.5 448.560i 2.14862 0.0253744i
\(51\) 955.713 + 1655.34i 0.0514520 + 0.0891174i
\(52\) 21149.6 + 11553.6i 1.08466 + 0.592526i
\(53\) −15323.1 + 8846.79i −0.749301 + 0.432609i −0.825441 0.564488i \(-0.809074\pi\)
0.0761401 + 0.997097i \(0.475740\pi\)
\(54\) 3917.58 6974.37i 0.182824 0.325477i
\(55\) 40618.6 + 23451.2i 1.81058 + 1.04534i
\(56\) 946.513 + 26705.9i 0.0403326 + 1.13799i
\(57\) 4413.83 + 1503.20i 0.179940 + 0.0612813i
\(58\) −12.0261 1018.33i −0.000469413 0.0397483i
\(59\) −444.820 + 770.450i −0.0166362 + 0.0288147i −0.874224 0.485523i \(-0.838629\pi\)
0.857587 + 0.514338i \(0.171962\pi\)
\(60\) −4509.32 + 8254.64i −0.161709 + 0.296019i
\(61\) −14837.5 25699.3i −0.510547 0.884294i −0.999925 0.0122219i \(-0.996110\pi\)
0.489378 0.872072i \(-0.337224\pi\)
\(62\) −23588.6 + 41994.2i −0.779333 + 1.38743i
\(63\) −29943.9 + 17288.1i −0.950511 + 0.548778i
\(64\) 32685.8 2319.82i 0.997491 0.0707952i
\(65\) 74706.0i 2.19317i
\(66\) −6816.54 + 4043.60i −0.192621 + 0.114264i
\(67\) −6118.92 10598.3i −0.166528 0.288435i 0.770669 0.637236i \(-0.219922\pi\)
−0.937197 + 0.348801i \(0.886589\pi\)
\(68\) −20636.0 + 487.475i −0.541195 + 0.0127844i
\(69\) 879.240i 0.0222323i
\(70\) 71245.0 42262.9i 1.73784 1.03089i
\(71\) −14195.8 + 24587.8i −0.334205 + 0.578861i −0.983332 0.181820i \(-0.941801\pi\)
0.649126 + 0.760681i \(0.275135\pi\)
\(72\) 22486.4 + 35944.1i 0.511197 + 0.817139i
\(73\) −30524.5 + 52869.9i −0.670411 + 1.16119i 0.307377 + 0.951588i \(0.400549\pi\)
−0.977788 + 0.209598i \(0.932785\pi\)
\(74\) −43331.5 24339.8i −0.919866 0.516698i
\(75\) 19897.6 0.408457
\(76\) −37097.4 + 34048.6i −0.736733 + 0.676184i
\(77\) 69799.9 1.34161
\(78\) 11006.4 + 6182.44i 0.204838 + 0.115060i
\(79\) −1676.16 + 2903.20i −0.0302168 + 0.0523370i −0.880738 0.473603i \(-0.842953\pi\)
0.850522 + 0.525940i \(0.176286\pi\)
\(80\) −54885.6 85471.9i −0.958812 1.49313i
\(81\) −26362.5 + 45661.3i −0.446452 + 0.773278i
\(82\) 43112.8 25574.7i 0.708063 0.420026i
\(83\) 62694.8i 0.998933i −0.866333 0.499466i \(-0.833529\pi\)
0.866333 0.499466i \(-0.166471\pi\)
\(84\) 330.576 + 13994.1i 0.00511179 + 0.216394i
\(85\) 31993.5 + 55414.4i 0.480303 + 0.831909i
\(86\) −46614.3 + 27651.8i −0.679631 + 0.403160i
\(87\) 533.463i 0.00755625i
\(88\) −3031.59 85536.6i −0.0417315 1.17746i
\(89\) 43850.8 25317.3i 0.586817 0.338799i −0.177021 0.984207i \(-0.556646\pi\)
0.763838 + 0.645408i \(0.223313\pi\)
\(90\) 64366.1 114589.i 0.837628 1.49121i
\(91\) −55588.5 96282.2i −0.703691 1.21883i
\(92\) 8332.77 + 4552.00i 0.102641 + 0.0560703i
\(93\) −12615.2 + 21850.1i −0.151247 + 0.261967i
\(94\) −870.813 73737.6i −0.0101650 0.860734i
\(95\) 147758. + 50321.1i 1.67974 + 0.572059i
\(96\) 17134.8 1012.91i 0.189758 0.0112174i
\(97\) 120497. + 69568.7i 1.30031 + 0.750732i 0.980456 0.196737i \(-0.0630345\pi\)
0.319849 + 0.947469i \(0.396368\pi\)
\(98\) 13812.2 24589.5i 0.145277 0.258633i
\(99\) 95907.6 55372.3i 0.983479 0.567812i
\(100\) −103014. + 188574.i −1.03014 + 1.88574i
\(101\) −94790.7 164182.i −0.924618 1.60149i −0.792174 0.610295i \(-0.791051\pi\)
−0.132443 0.991191i \(-0.542282\pi\)
\(102\) −10811.9 + 127.685i −0.102897 + 0.00121517i
\(103\) −155398. −1.44329 −0.721643 0.692265i \(-0.756613\pi\)
−0.721643 + 0.692265i \(0.756613\pi\)
\(104\) −115575. + 72303.0i −1.04781 + 0.655501i
\(105\) 37578.7 21696.1i 0.332635 0.192047i
\(106\) −1181.94 100083.i −0.0102172 0.865158i
\(107\) −200756. −1.69515 −0.847576 0.530674i \(-0.821939\pi\)
−0.847576 + 0.530674i \(0.821939\pi\)
\(108\) 23544.7 + 38643.3i 0.194238 + 0.318797i
\(109\) 106380. + 61418.4i 0.857616 + 0.495145i 0.863213 0.504840i \(-0.168448\pi\)
−0.00559744 + 0.999984i \(0.501782\pi\)
\(110\) −228191. + 135364.i −1.79811 + 1.06665i
\(111\) −22545.9 13016.9i −0.173684 0.100277i
\(112\) −134337. 69317.3i −1.01193 0.522151i
\(113\) 129175.i 0.951663i 0.879536 + 0.475832i \(0.157853\pi\)
−0.879536 + 0.475832i \(0.842147\pi\)
\(114\) −19641.8 + 17604.7i −0.141553 + 0.126873i
\(115\) 29433.5i 0.207538i
\(116\) 5055.76 + 2761.85i 0.0348852 + 0.0190570i
\(117\) −152761. 88196.9i −1.03169 0.595646i
\(118\) −2567.57 4328.31i −0.0169753 0.0286163i
\(119\) 82467.5 + 47612.6i 0.533845 + 0.308216i
\(120\) −28219.7 45108.6i −0.178895 0.285961i
\(121\) −62511.5 −0.388147
\(122\) 167855. 1982.31i 1.02102 0.0120579i
\(123\) 22740.2 13129.0i 0.135529 0.0782475i
\(124\) −141768. 232680.i −0.827986 1.35895i
\(125\) 356104. 2.03846
\(126\) −2309.72 195579.i −0.0129608 1.09748i
\(127\) 36889.1 + 63893.7i 0.202950 + 0.351519i 0.949478 0.313835i \(-0.101614\pi\)
−0.746528 + 0.665354i \(0.768281\pi\)
\(128\) −79110.6 + 167634.i −0.426785 + 0.904353i
\(129\) −24587.0 + 14195.3i −0.130086 + 0.0751054i
\(130\) 368453. + 206964.i 1.91216 + 1.07408i
\(131\) 2439.35 + 1408.36i 0.0124192 + 0.00717025i 0.506197 0.862418i \(-0.331051\pi\)
−0.493778 + 0.869588i \(0.664384\pi\)
\(132\) −1058.80 44821.7i −0.00528909 0.223900i
\(133\) 227876. 45091.6i 1.11704 0.221038i
\(134\) 69222.8 817.496i 0.333033 0.00393300i
\(135\) 70136.5 121480.i 0.331215 0.573680i
\(136\) 54765.3 103128.i 0.253898 0.478112i
\(137\) 63377.5 + 109773.i 0.288492 + 0.499682i 0.973450 0.228900i \(-0.0735129\pi\)
−0.684958 + 0.728582i \(0.740180\pi\)
\(138\) 4336.44 + 2435.83i 0.0193837 + 0.0108880i
\(139\) 255479. 147501.i 1.12155 0.647528i 0.179754 0.983712i \(-0.442470\pi\)
0.941796 + 0.336184i \(0.109136\pi\)
\(140\) 11066.4 + 468467.i 0.0477184 + 2.02004i
\(141\) 38628.2i 0.163628i
\(142\) −81940.4 138132.i −0.341018 0.574874i
\(143\) 178045. + 308383.i 0.728097 + 1.26110i
\(144\) −239573. + 11325.0i −0.962791 + 0.0455126i
\(145\) 17858.3i 0.0705374i
\(146\) −176192. 297018.i −0.684076 1.15319i
\(147\) 7386.74 12794.2i 0.0281942 0.0488338i
\(148\) 240089. 146282.i 0.900987 0.548956i
\(149\) −152927. + 264878.i −0.564312 + 0.977416i 0.432802 + 0.901489i \(0.357525\pi\)
−0.997113 + 0.0759271i \(0.975808\pi\)
\(150\) −55123.8 + 98135.5i −0.200037 + 0.356121i
\(151\) −324014. −1.15644 −0.578218 0.815882i \(-0.696252\pi\)
−0.578218 + 0.815882i \(0.696252\pi\)
\(152\) −65154.9 277293.i −0.228738 0.973488i
\(153\) 151085. 0.521785
\(154\) −193372. + 344256.i −0.657040 + 1.16971i
\(155\) −422307. + 731457.i −1.41188 + 2.44546i
\(156\) −60984.0 + 37156.5i −0.200634 + 0.122243i
\(157\) 53872.6 93310.1i 0.174429 0.302120i −0.765534 0.643395i \(-0.777525\pi\)
0.939964 + 0.341275i \(0.110859\pi\)
\(158\) −9675.08 16309.8i −0.0308327 0.0519765i
\(159\) 52429.5i 0.164469i
\(160\) 573605. 33908.1i 1.77138 0.104714i
\(161\) −21901.4 37934.4i −0.0665897 0.115337i
\(162\) −152169. 256520.i −0.455552 0.767952i
\(163\) 651808.i 1.92155i 0.277336 + 0.960773i \(0.410548\pi\)
−0.277336 + 0.960773i \(0.589452\pi\)
\(164\) 6696.66 + 283486.i 0.0194423 + 0.823042i
\(165\) −120361. + 69490.5i −0.344172 + 0.198708i
\(166\) 309213. + 173688.i 0.870939 + 0.489216i
\(167\) −206530. 357720.i −0.573048 0.992548i −0.996251 0.0865132i \(-0.972428\pi\)
0.423203 0.906035i \(-0.360906\pi\)
\(168\) −69935.2 37138.5i −0.191171 0.101520i
\(169\) 97943.1 169642.i 0.263789 0.456897i
\(170\) −361940. + 4274.38i −0.960539 + 0.0113436i
\(171\) 277339. 242732.i 0.725305 0.634799i
\(172\) −7240.53 306509.i −0.0186616 0.789992i
\(173\) −492623. 284416.i −1.25141 0.722501i −0.280019 0.959994i \(-0.590341\pi\)
−0.971389 + 0.237493i \(0.923674\pi\)
\(174\) 2631.06 + 1477.90i 0.00658807 + 0.00370059i
\(175\) 858470. 495638.i 2.11900 1.22340i
\(176\) 430268. + 222017.i 1.04703 + 0.540262i
\(177\) −1318.09 2282.99i −0.00316236 0.00547737i
\(178\) 3382.43 + 286413.i 0.00800163 + 0.677551i
\(179\) −418650. −0.976603 −0.488302 0.872675i \(-0.662383\pi\)
−0.488302 + 0.872675i \(0.662383\pi\)
\(180\) 386841. + 634912.i 0.889921 + 1.46060i
\(181\) −705304. + 407207.i −1.60022 + 0.923888i −0.608778 + 0.793340i \(0.708340\pi\)
−0.991442 + 0.130547i \(0.958327\pi\)
\(182\) 628869. 7426.70i 1.40728 0.0166195i
\(183\) 87932.8 0.194099
\(184\) −45535.6 + 28486.8i −0.0991531 + 0.0620296i
\(185\) −754750. 435755.i −1.62134 0.936081i
\(186\) −72816.9 122752.i −0.154330 0.260163i
\(187\) −264136. 152499.i −0.552361 0.318906i
\(188\) 366089. + 199986.i 0.755426 + 0.412672i
\(189\) 208753.i 0.425088i
\(190\) −657530. + 589338.i −1.32139 + 1.18435i
\(191\) 784635.i 1.55627i −0.628098 0.778134i \(-0.716166\pi\)
0.628098 0.778134i \(-0.283834\pi\)
\(192\) −42474.1 + 87315.4i −0.0831516 + 0.170938i
\(193\) 20776.8 + 11995.5i 0.0401501 + 0.0231806i 0.519941 0.854202i \(-0.325954\pi\)
−0.479791 + 0.877383i \(0.659287\pi\)
\(194\) −676937. + 401562.i −1.29135 + 0.766034i
\(195\) 191711. + 110684.i 0.361044 + 0.208449i
\(196\) 83011.2 + 136244.i 0.154346 + 0.253325i
\(197\) 78996.3 0.145024 0.0725122 0.997368i \(-0.476898\pi\)
0.0725122 + 0.997368i \(0.476898\pi\)
\(198\) 7397.81 + 626422.i 0.0134104 + 1.13554i
\(199\) 161648. 93327.8i 0.289360 0.167062i −0.348293 0.937386i \(-0.613239\pi\)
0.637653 + 0.770323i \(0.279905\pi\)
\(200\) −644667. 1.03049e6i −1.13962 1.82166i
\(201\) 36263.1 0.0633104
\(202\) 1.07236e6 12664.2i 1.84911 0.0218373i
\(203\) −13288.3 23016.0i −0.0226323 0.0392003i
\(204\) 29323.3 53678.5i 0.0493330 0.0903077i
\(205\) 761252. 439509.i 1.26516 0.730438i
\(206\) 430512. 766429.i 0.706833 1.25836i
\(207\) −60186.7 34748.8i −0.0976281 0.0563656i
\(208\) −36414.5 770328.i −0.0583601 1.23457i
\(209\) −729866. + 144424.i −1.15579 + 0.228704i
\(210\) 2898.62 + 245446.i 0.00453569 + 0.384067i
\(211\) −353680. + 612592.i −0.546896 + 0.947252i 0.451589 + 0.892226i \(0.350857\pi\)
−0.998485 + 0.0550258i \(0.982476\pi\)
\(212\) 496888. + 271438.i 0.759309 + 0.414793i
\(213\) −42064.9 72858.5i −0.0635288 0.110035i
\(214\) 556170. 990135.i 0.830181 1.47795i
\(215\) −823078. + 475204.i −1.21435 + 0.701107i
\(216\) −255818. + 9066.71i −0.373075 + 0.0132226i
\(217\) 1.25695e6i 1.81204i
\(218\) −597630. + 354517.i −0.851709 + 0.505238i
\(219\) −90450.0 156664.i −0.127438 0.220729i
\(220\) −35444.6 1.50046e6i −0.0493735 2.09010i
\(221\) 485800.i 0.669078i
\(222\) 126661. 75135.7i 0.172488 0.102321i
\(223\) 453576. 785616.i 0.610784 1.05791i −0.380324 0.924853i \(-0.624188\pi\)
0.991109 0.133056i \(-0.0424790\pi\)
\(224\) 714039. 470519.i 0.950828 0.626552i
\(225\) 786380. 1.36205e6i 1.03556 1.79365i
\(226\) −637097. 357864.i −0.829726 0.466066i
\(227\) −36761.9 −0.0473514 −0.0236757 0.999720i \(-0.507537\pi\)
−0.0236757 + 0.999720i \(0.507537\pi\)
\(228\) −32412.1 145646.i −0.0412924 0.185550i
\(229\) −779400. −0.982137 −0.491068 0.871121i \(-0.663393\pi\)
−0.491068 + 0.871121i \(0.663393\pi\)
\(230\) 145167. + 81542.0i 0.180946 + 0.101639i
\(231\) −103415. + 179121.i −0.127513 + 0.220859i
\(232\) −27627.9 + 17283.9i −0.0336999 + 0.0210824i
\(233\) −52500.6 + 90933.7i −0.0633540 + 0.109732i −0.895963 0.444129i \(-0.853513\pi\)
0.832609 + 0.553862i \(0.186846\pi\)
\(234\) 858197. 509087.i 1.02458 0.607788i
\(235\) 1.29312e6i 1.52746i
\(236\) 28460.5 672.310i 0.0332631 0.000785759i
\(237\) −4966.80 8602.74i −0.00574388 0.00994869i
\(238\) −463294. + 274828.i −0.530168 + 0.314498i
\(239\) 871940.i 0.987397i 0.869633 + 0.493698i \(0.164355\pi\)
−0.869633 + 0.493698i \(0.835645\pi\)
\(240\) 300657. 14212.5i 0.336932 0.0159273i
\(241\) −566754. + 327216.i −0.628568 + 0.362904i −0.780197 0.625534i \(-0.784881\pi\)
0.151629 + 0.988437i \(0.451548\pi\)
\(242\) 173180. 308309.i 0.190091 0.338414i
\(243\) −249930. 432891.i −0.271520 0.470287i
\(244\) −455246. + 833361.i −0.489521 + 0.896104i
\(245\) 247279. 428300.i 0.263192 0.455862i
\(246\) 1754.06 + 148528.i 0.00184802 + 0.156484i
\(247\) 780484. + 891761.i 0.813995 + 0.930049i
\(248\) 1.54034e6 54592.7i 1.59033 0.0563644i
\(249\) 160888. + 92888.5i 0.164446 + 0.0949432i
\(250\) −986544. + 1.75632e6i −0.998312 + 1.77727i
\(251\) 1.48774e6 858948.i 1.49054 0.860563i 0.490598 0.871386i \(-0.336778\pi\)
0.999941 + 0.0108231i \(0.00344516\pi\)
\(252\) 971003. + 530437.i 0.963206 + 0.526178i
\(253\) 70148.2 + 121500.i 0.0688993 + 0.119337i
\(254\) −417323. + 4928.43i −0.405871 + 0.00479319i
\(255\) −189606. −0.182601
\(256\) −607613. 854587.i −0.579464 0.814998i
\(257\) 303425. 175183.i 0.286562 0.165447i −0.349828 0.936814i \(-0.613760\pi\)
0.636390 + 0.771367i \(0.280427\pi\)
\(258\) −1896.52 160591.i −0.00177381 0.150200i
\(259\) −1.29698e6 −1.20139
\(260\) −2.04151e6 + 1.24385e6i −1.87291 + 1.14113i
\(261\) −36517.2 21083.2i −0.0331815 0.0191574i
\(262\) −13704.0 + 8129.26i −0.0123337 + 0.00731641i
\(263\) 508373. + 293509.i 0.453203 + 0.261657i 0.709182 0.705025i \(-0.249064\pi\)
−0.255979 + 0.966682i \(0.582398\pi\)
\(264\) 223996. + 118951.i 0.197802 + 0.105041i
\(265\) 1.75514e6i 1.53531i
\(266\) −408910. + 1.24881e6i −0.354343 + 1.08217i
\(267\) 150040.i 0.128804i
\(268\) −187741. + 343674.i −0.159670 + 0.292287i
\(269\) 1.28842e6 + 743872.i 1.08562 + 0.626784i 0.932407 0.361409i \(-0.117704\pi\)
0.153214 + 0.988193i \(0.451038\pi\)
\(270\) 404839. + 682461.i 0.337966 + 0.569729i
\(271\) 1.31240e6 + 757712.i 1.08553 + 0.626731i 0.932383 0.361473i \(-0.117726\pi\)
0.153147 + 0.988203i \(0.451059\pi\)
\(272\) 356911. + 555809.i 0.292508 + 0.455515i
\(273\) 329440. 0.267528
\(274\) −716984. + 8467.32i −0.576943 + 0.00681349i
\(275\) −2.74960e6 + 1.58748e6i −2.19249 + 1.26583i
\(276\) −24027.2 + 14639.3i −0.0189859 + 0.0115678i
\(277\) −415278. −0.325192 −0.162596 0.986693i \(-0.551987\pi\)
−0.162596 + 0.986693i \(0.551987\pi\)
\(278\) 19706.3 + 1.66867e6i 0.0152931 + 1.29496i
\(279\) 997140. + 1.72710e6i 0.766912 + 1.32833i
\(280\) −2.34116e6 1.24325e6i −1.78458 0.947685i
\(281\) −421041. + 243088.i −0.318096 + 0.183653i −0.650544 0.759469i \(-0.725459\pi\)
0.332447 + 0.943122i \(0.392126\pi\)
\(282\) 190516. + 107015.i 0.142662 + 0.0801348i
\(283\) −519808. 300111.i −0.385813 0.222749i 0.294531 0.955642i \(-0.404836\pi\)
−0.680344 + 0.732893i \(0.738170\pi\)
\(284\) 908277. 21455.8i 0.668224 0.0157852i
\(285\) −348052. + 304621.i −0.253823 + 0.222150i
\(286\) −2.01421e6 + 23787.0i −1.45609 + 0.0171959i
\(287\) 654075. 1.13289e6i 0.468730 0.811864i
\(288\) 607853. 1.21296e6i 0.431835 0.861717i
\(289\) 501880. + 869282.i 0.353472 + 0.612232i
\(290\) 88077.7 + 49474.2i 0.0614994 + 0.0345449i
\(291\) −357055. + 206146.i −0.247174 + 0.142706i
\(292\) 1.95302e6 46135.3i 1.34045 0.0316648i
\(293\) 741286.i 0.504449i 0.967669 + 0.252224i \(0.0811621\pi\)
−0.967669 + 0.252224i \(0.918838\pi\)
\(294\) 42637.5 + 71876.5i 0.0287689 + 0.0484974i
\(295\) −44124.4 76425.8i −0.0295205 0.0511310i
\(296\) 56331.2 + 1.58939e6i 0.0373697 + 1.05439i
\(297\) 668618.i 0.439832i
\(298\) −882720. 1.48805e6i −0.575814 0.970684i
\(299\) 111732. 193525.i 0.0722768 0.125187i
\(300\) −331294. 543745.i −0.212525 0.348813i
\(301\) −707196. + 1.22490e6i −0.449908 + 0.779264i
\(302\) 897643. 1.59805e6i 0.566352 1.00826i
\(303\) 561767. 0.351520
\(304\) 1.54813e6 + 446861.i 0.960776 + 0.277325i
\(305\) 2.94365e6 1.81191
\(306\) −418561. + 745155.i −0.255538 + 0.454928i
\(307\) 551242. 954779.i 0.333808 0.578172i −0.649447 0.760407i \(-0.725000\pi\)
0.983255 + 0.182235i \(0.0583330\pi\)
\(308\) −1.16217e6 1.90744e6i −0.698059 1.14571i
\(309\) 230237. 398783.i 0.137177 0.237597i
\(310\) −2.43762e6 4.10925e6i −1.44066 2.42861i
\(311\) 3.29414e6i 1.93126i 0.259921 + 0.965630i \(0.416303\pi\)
−0.259921 + 0.965630i \(0.583697\pi\)
\(312\) −14308.4 403713.i −0.00832157 0.234794i
\(313\) 562594. + 974441.i 0.324589 + 0.562205i 0.981429 0.191825i \(-0.0614406\pi\)
−0.656840 + 0.754030i \(0.728107\pi\)
\(314\) 310961. + 524206.i 0.177985 + 0.300039i
\(315\) 3.42984e6i 1.94759i
\(316\) 107244. 2533.39i 0.0604167 0.00142720i
\(317\) 1.43157e6 826515.i 0.800135 0.461958i −0.0433832 0.999059i \(-0.513814\pi\)
0.843518 + 0.537100i \(0.180480\pi\)
\(318\) 258584. + 145250.i 0.143395 + 0.0805466i
\(319\) 42561.2 + 73718.1i 0.0234173 + 0.0405600i
\(320\) −1.42187e6 + 2.92298e6i −0.776218 + 1.59570i
\(321\) 297439. 515180.i 0.161115 0.279059i
\(322\) 247769. 2926.06i 0.133170 0.00157269i
\(323\) −960842. 327229.i −0.512443 0.174520i
\(324\) 1.68673e6 39844.9i 0.892655 0.0210868i
\(325\) 4.37956e6 + 2.52854e6i 2.29997 + 1.32789i
\(326\) −3.21474e6 1.80576e6i −1.67534 0.941055i
\(327\) −315224. + 181995.i −0.163023 + 0.0941216i
\(328\) −1.41672e6 752335.i −0.727106 0.386124i
\(329\) −962209. 1.66659e6i −0.490094 0.848868i
\(330\) −9284.02 786140.i −0.00469301 0.397388i
\(331\) −630943. −0.316534 −0.158267 0.987396i \(-0.550591\pi\)
−0.158267 + 0.987396i \(0.550591\pi\)
\(332\) −1.71328e6 + 1.04387e6i −0.853065 + 0.519757i
\(333\) −1.78210e6 + 1.02889e6i −0.880685 + 0.508463i
\(334\) 2.33645e6 27592.6i 1.14602 0.0135340i
\(335\) 1.21395e6 0.591000
\(336\) 376915. 242035.i 0.182136 0.116958i
\(337\) 329499. + 190236.i 0.158045 + 0.0912471i 0.576936 0.816789i \(-0.304248\pi\)
−0.418892 + 0.908036i \(0.637581\pi\)
\(338\) 565344. + 953033.i 0.269166 + 0.453750i
\(339\) −331490. 191386.i −0.156665 0.0904504i
\(340\) 981631. 1.79695e6i 0.460522 0.843020i
\(341\) 4.02590e6i 1.87489i
\(342\) 428828. + 2.04031e6i 0.198252 + 0.943257i
\(343\) 1.74511e6i 0.800915i
\(344\) 1.53178e6 + 813437.i 0.697909 + 0.370619i
\(345\) 75532.4 + 43608.6i 0.0341653 + 0.0197254i
\(346\) 2.76750e6 1.64169e6i 1.24279 0.737228i
\(347\) 478091. + 276026.i 0.213151 + 0.123063i 0.602775 0.797911i \(-0.294062\pi\)
−0.389624 + 0.920974i \(0.627395\pi\)
\(348\) −14578.1 + 8882.17i −0.00645286 + 0.00393161i
\(349\) 562000. 0.246986 0.123493 0.992345i \(-0.460590\pi\)
0.123493 + 0.992345i \(0.460590\pi\)
\(350\) 66217.9 + 5.60711e6i 0.0288938 + 2.44663i
\(351\) 922294. 532487.i 0.399578 0.230696i
\(352\) −2.28700e6 + 1.50703e6i −0.983807 + 0.648284i
\(353\) −69312.1 −0.0296055 −0.0148027 0.999890i \(-0.504712\pi\)
−0.0148027 + 0.999890i \(0.504712\pi\)
\(354\) 14911.4 176.098i 0.00632428 7.46873e-5i
\(355\) −1.40817e6 2.43902e6i −0.593040 1.02717i
\(356\) −1.42197e6 776789.i −0.594655 0.324846i
\(357\) −244367. + 141086.i −0.101478 + 0.0585885i
\(358\) 1.15982e6 2.06480e6i 0.478280 0.851471i
\(359\) −1.56843e6 905535.i −0.642288 0.370825i 0.143207 0.989693i \(-0.454258\pi\)
−0.785495 + 0.618868i \(0.787592\pi\)
\(360\) −4.20311e6 + 148967.i −1.70928 + 0.0605806i
\(361\) −2.28950e6 + 943005.i −0.924640 + 0.380843i
\(362\) −54403.5 4.60670e6i −0.0218200 1.84765i
\(363\) 92616.9 160417.i 0.0368913 0.0638976i
\(364\) −1.70558e6 + 3.12218e6i −0.674711 + 1.23511i
\(365\) −3.02791e6 5.24450e6i −1.18963 2.06050i
\(366\) −243607. + 433688.i −0.0950577 + 0.169229i
\(367\) 4.38693e6 2.53279e6i 1.70018 0.981601i 0.754618 0.656164i \(-0.227822\pi\)
0.945564 0.325437i \(-0.105511\pi\)
\(368\) −14347.0 303502.i −0.00552258 0.116827i
\(369\) 2.07551e6i 0.793523i
\(370\) 4.24011e6 2.51525e6i 1.61017 0.955161i
\(371\) −1.30599e6 2.26205e6i −0.492613 0.853231i
\(372\) 807146. 19066.9i 0.302409 0.00714368i
\(373\) 2.10839e6i 0.784657i 0.919825 + 0.392328i \(0.128330\pi\)
−0.919825 + 0.392328i \(0.871670\pi\)
\(374\) 1.48389e6 880248.i 0.548557 0.325406i
\(375\) −527603. + 913836.i −0.193745 + 0.335575i
\(376\) −2.00054e6 + 1.25153e6i −0.729758 + 0.456532i
\(377\) 67791.4 117418.i 0.0245652 0.0425482i
\(378\) 1.02958e6 + 578326.i 0.370621 + 0.208182i
\(379\) −3.13507e6 −1.12111 −0.560555 0.828117i \(-0.689412\pi\)
−0.560555 + 0.828117i \(0.689412\pi\)
\(380\) −1.08503e6 4.87566e6i −0.385463 1.73210i
\(381\) −218619. −0.0771571
\(382\) 3.86985e6 + 2.17374e6i 1.35686 + 0.762164i
\(383\) 762323. 1.32038e6i 0.265547 0.459942i −0.702159 0.712020i \(-0.747781\pi\)
0.967707 + 0.252078i \(0.0811140\pi\)
\(384\) −312974. 451380.i −0.108313 0.156212i
\(385\) −3.46194e6 + 5.99626e6i −1.19033 + 2.06171i
\(386\) −116722. + 69240.0i −0.0398735 + 0.0236532i
\(387\) 2.24408e6i 0.761659i
\(388\) −105148. 4.45116e6i −0.0354585 1.50104i
\(389\) 1.15831e6 + 2.00625e6i 0.388106 + 0.672220i 0.992195 0.124697i \(-0.0397960\pi\)
−0.604088 + 0.796917i \(0.706463\pi\)
\(390\) −1.07701e6 + 638887.i −0.358557 + 0.212698i
\(391\) 191401.i 0.0633144i
\(392\) −901934. + 31966.4i −0.296456 + 0.0105070i
\(393\) −7228.26 + 4173.24i −0.00236076 + 0.00136299i
\(394\) −218850. + 389613.i −0.0710240 + 0.126442i
\(395\) −166269. 287986.i −0.0536190 0.0928708i
\(396\) −3.11003e6 1.69894e6i −0.996614 0.544428i
\(397\) 50111.4 86795.5i 0.0159573 0.0276389i −0.857936 0.513756i \(-0.828254\pi\)
0.873894 + 0.486117i \(0.161587\pi\)
\(398\) 12468.7 + 1.05581e6i 0.00394561 + 0.334101i
\(399\) −221907. + 651584.i −0.0697812 + 0.204898i
\(400\) 6.86838e6 324679.i 2.14637 0.101462i
\(401\) 946342. + 546371.i 0.293892 + 0.169678i 0.639696 0.768628i \(-0.279060\pi\)
−0.345804 + 0.938307i \(0.612394\pi\)
\(402\) −100463. + 178851.i −0.0310055 + 0.0551984i
\(403\) −5.55333e6 + 3.20622e6i −1.70330 + 0.983401i
\(404\) −2.90838e6 + 5.32400e6i −0.886539 + 1.62287i
\(405\) −2.61507e6 4.52943e6i −0.792219 1.37216i
\(406\) 150329. 1775.33i 0.0452615 0.000534521i
\(407\) 4.15410e6 1.24306
\(408\) 183508. + 293333.i 0.0545762 + 0.0872391i
\(409\) −842152. + 486217.i −0.248933 + 0.143722i −0.619276 0.785174i \(-0.712574\pi\)
0.370343 + 0.928895i \(0.379240\pi\)
\(410\) 58719.0 + 4.97213e6i 0.0172512 + 1.46077i
\(411\) −375600. −0.109678
\(412\) 2.58738e6 + 4.24660e6i 0.750960 + 1.23253i
\(413\) −113736. 65665.8i −0.0328114 0.0189437i
\(414\) 338122. 200576.i 0.0969557 0.0575145i
\(415\) 5.38589e6 + 3.10955e6i 1.53510 + 0.886292i
\(416\) 3.90017e6 + 1.95450e6i 1.10497 + 0.553736i
\(417\) 874149.i 0.246176i
\(418\) 1.30970e6 3.99984e6i 0.366633 1.11970i
\(419\) 2.49949e6i 0.695531i 0.937581 + 0.347766i \(0.113060\pi\)
−0.937581 + 0.347766i \(0.886940\pi\)
\(420\) −1.21858e6 665682.i −0.337078 0.184138i
\(421\) −660849. 381541.i −0.181718 0.104915i 0.406382 0.913703i \(-0.366790\pi\)
−0.588099 + 0.808789i \(0.700124\pi\)
\(422\) −2.04150e6 3.44148e6i −0.558044 0.940728i
\(423\) −2.64422e6 1.52664e6i −0.718533 0.414845i
\(424\) −2.71531e6 + 1.69868e6i −0.733508 + 0.458878i
\(425\) −4.33148e6 −1.16323
\(426\) 475877. 5619.93i 0.127049 0.00150040i
\(427\) 3.79382e6 2.19036e6i 1.00695 0.581361i
\(428\) 3.34258e6 + 5.48610e6i 0.882009 + 1.44762i
\(429\) −1.05516e6 −0.276807
\(430\) −63487.9 5.37595e6i −0.0165585 1.40212i
\(431\) −2.25652e6 3.90840e6i −0.585120 1.01346i −0.994860 0.101256i \(-0.967714\pi\)
0.409740 0.912202i \(-0.365619\pi\)
\(432\) 663995. 1.28682e6i 0.171181 0.331749i
\(433\) −561068. + 323933.i −0.143812 + 0.0830300i −0.570180 0.821520i \(-0.693126\pi\)
0.426367 + 0.904550i \(0.359793\pi\)
\(434\) −6.19933e6 3.48223e6i −1.57987 0.887428i
\(435\) 45828.0 + 26458.8i 0.0116120 + 0.00670420i
\(436\) −92829.1 3.92968e6i −0.0233866 0.990013i
\(437\) 307504. + 351346.i 0.0770277 + 0.0880099i
\(438\) 1.02325e6 12084.2i 0.254858 0.00300978i
\(439\) −937657. + 1.62407e6i −0.232211 + 0.402201i −0.958458 0.285232i \(-0.907929\pi\)
0.726247 + 0.687433i \(0.241263\pi\)
\(440\) 7.49851e6 + 3.98202e6i 1.84647 + 0.980555i
\(441\) −583869. 1.01129e6i −0.142961 0.247616i
\(442\) −2.39598e6 1.34585e6i −0.583348 0.327673i
\(443\) −842366. + 486340.i −0.203935 + 0.117742i −0.598490 0.801131i \(-0.704232\pi\)
0.394555 + 0.918872i \(0.370899\pi\)
\(444\) 19674.0 + 832850.i 0.00473626 + 0.200498i
\(445\) 5.02276e6i 1.20238i
\(446\) 2.61811e6 + 4.41351e6i 0.623234 + 1.05062i
\(447\) −453153. 784884.i −0.107269 0.185796i
\(448\) 342459. + 4.82518e6i 0.0806146 + 1.13584i
\(449\) 4.54619e6i 1.06422i −0.846675 0.532110i \(-0.821399\pi\)
0.846675 0.532110i \(-0.178601\pi\)
\(450\) 4.53911e6 + 7.65185e6i 1.05667 + 1.78129i
\(451\) −2.09494e6 + 3.62855e6i −0.484988 + 0.840023i
\(452\) 3.53000e6 2.15077e6i 0.812697 0.495162i
\(453\) 480059. 831487.i 0.109913 0.190375i
\(454\) 101844. 181311.i 0.0231898 0.0412843i
\(455\) 1.10283e7 2.49737
\(456\) 808125. + 243637.i 0.181998 + 0.0548694i
\(457\) 4.82183e6 1.07999 0.539997 0.841667i \(-0.318425\pi\)
0.539997 + 0.841667i \(0.318425\pi\)
\(458\) 2.15923e6 3.84403e6i 0.480990 0.856295i
\(459\) −456085. + 789962.i −0.101045 + 0.175015i
\(460\) −804337. + 490068.i −0.177232 + 0.107985i
\(461\) 1.15788e6 2.00551e6i 0.253754 0.439515i −0.710802 0.703392i \(-0.751668\pi\)
0.964556 + 0.263877i \(0.0850013\pi\)
\(462\) −596930. 1.00628e6i −0.130112 0.219338i
\(463\) 1.53523e6i 0.332829i −0.986056 0.166415i \(-0.946781\pi\)
0.986056 0.166415i \(-0.0532190\pi\)
\(464\) −8704.80 184145.i −0.00187700 0.0397068i
\(465\) −1.25138e6 2.16745e6i −0.268384 0.464854i
\(466\) −303042. 510856.i −0.0646454 0.108977i
\(467\) 5.53898e6i 1.17527i −0.809126 0.587635i \(-0.800059\pi\)
0.809126 0.587635i \(-0.199941\pi\)
\(468\) 133303. + 5.64303e6i 0.0281335 + 1.19096i
\(469\) 1.56455e6 903295.i 0.328442 0.189626i
\(470\) 6.37773e6 + 3.58244e6i 1.33175 + 0.748056i
\(471\) 159635. + 276496.i 0.0331571 + 0.0574297i
\(472\) −75530.5 + 142231.i −0.0156051 + 0.0293859i
\(473\) 2.26508e6 3.92324e6i 0.465513 0.806292i
\(474\) 56189.0 663.571i 0.0114870 0.000135657i
\(475\) −7.95110e6 + 6.95894e6i −1.61694 + 1.41517i
\(476\) −71962.8 3.04636e6i −0.0145576 0.616260i
\(477\) −3.58896e6 2.07209e6i −0.722226 0.416977i
\(478\) −4.30044e6 2.41560e6i −0.860881 0.483566i
\(479\) −3.28147e6 + 1.89456e6i −0.653476 + 0.377284i −0.789787 0.613382i \(-0.789809\pi\)
0.136311 + 0.990666i \(0.456475\pi\)
\(480\) −762837. + 1.52222e6i −0.151122 + 0.301561i
\(481\) −3.30832e6 5.73018e6i −0.651996 1.12929i
\(482\) −43716.5 3.70177e6i −0.00857092 0.725757i
\(483\) 129796. 0.0253160
\(484\) 1.04082e6 + 1.70827e6i 0.201958 + 0.331468i
\(485\) −1.19528e7 + 6.90096e6i −2.30736 + 1.33216i
\(486\) 2.82744e6 33391.0i 0.543003 0.00641266i
\(487\) 697357. 0.133239 0.0666197 0.997778i \(-0.478779\pi\)
0.0666197 + 0.997778i \(0.478779\pi\)
\(488\) −2.84896e6 4.55402e6i −0.541548 0.865655i
\(489\) −1.67267e6 965718.i −0.316329 0.182632i
\(490\) 1.42734e6 + 2.40614e6i 0.268557 + 0.452722i
\(491\) 5.23801e6 + 3.02417e6i 0.980534 + 0.566112i 0.902431 0.430834i \(-0.141780\pi\)
0.0781028 + 0.996945i \(0.475114\pi\)
\(492\) −737404. 402827.i −0.137339 0.0750250i
\(493\) 116129.i 0.0215191i
\(494\) −6.56043e6 + 1.37886e6i −1.20953 + 0.254216i
\(495\) 1.09854e7i 2.01514i
\(496\) −3.99806e6 + 7.74824e6i −0.729701 + 1.41416i
\(497\) −3.62974e6 2.09563e6i −0.659150 0.380560i
\(498\) −903849. + 536168.i −0.163314 + 0.0968784i
\(499\) −522561. 301701.i −0.0939476 0.0542407i 0.452290 0.891871i \(-0.350607\pi\)
−0.546238 + 0.837630i \(0.683940\pi\)
\(500\) −5.92914e6 9.73134e6i −1.06064 1.74080i
\(501\) 1.22398e6 0.217860
\(502\) 114757. + 9.71721e6i 0.0203244 + 1.72101i
\(503\) −6.01544e6 + 3.47302e6i −1.06010 + 0.612050i −0.925460 0.378844i \(-0.876322\pi\)
−0.134641 + 0.990894i \(0.542988\pi\)
\(504\) −5.30618e6 + 3.31951e6i −0.930477 + 0.582101i
\(505\) 1.88058e7 3.28143
\(506\) −793581. + 9371.89i −0.137789 + 0.00162724i
\(507\) 290225. + 502684.i 0.0501435 + 0.0868511i
\(508\) 1.13184e6 2.07191e6i 0.194592 0.356214i
\(509\) 2.54902e6 1.47168e6i 0.436093 0.251778i −0.265846 0.964015i \(-0.585651\pi\)
0.701939 + 0.712237i \(0.252318\pi\)
\(510\) 525281. 935146.i 0.0894266 0.159204i
\(511\) −7.80484e6 4.50612e6i −1.32224 0.763398i
\(512\) 5.89817e6 629239.i 0.994357 0.106082i
\(513\) 431935. + 2.18284e6i 0.0724645 + 0.366209i
\(514\) 23404.6 + 1.98183e6i 0.00390745 + 0.330870i
\(515\) 7.70745e6 1.33497e7i 1.28054 2.21796i
\(516\) 797293. + 435543.i 0.131824 + 0.0720123i
\(517\) 3.08186e6 + 5.33795e6i 0.507093 + 0.878310i
\(518\) 3.59312e6 6.39674e6i 0.588365 1.04745i
\(519\) 1.45974e6 842780.i 0.237879 0.137340i
\(520\) −478990. 1.35147e7i −0.0776817 2.19179i
\(521\) 6.46601e6i 1.04362i 0.853062 + 0.521810i \(0.174743\pi\)
−0.853062 + 0.521810i \(0.825257\pi\)
\(522\) 205150. 121696.i 0.0329530 0.0195479i
\(523\) 1.97741e6 + 3.42498e6i 0.316114 + 0.547525i 0.979674 0.200598i \(-0.0642886\pi\)
−0.663560 + 0.748123i \(0.730955\pi\)
\(524\) −2128.62 90109.7i −0.000338665 0.0143365i
\(525\) 2.93734e6i 0.465111i
\(526\) −2.85599e6 + 1.69418e6i −0.450082 + 0.266991i
\(527\) 2.74619e6 4.75654e6i 0.430729 0.746044i
\(528\) −1.20722e6 + 775216.i −0.188453 + 0.121015i
\(529\) −3.17415e6 + 5.49779e6i −0.493160 + 0.854179i
\(530\) 8.65640e6 + 4.86239e6i 1.33859 + 0.751900i
\(531\) −208371. −0.0320701
\(532\) −5.02637e6 5.47645e6i −0.769972 0.838919i
\(533\) 6.67364e6 1.01752
\(534\) −740004. 415668.i −0.112300 0.0630803i
\(535\) 9.95711e6 1.72462e7i 1.50400 2.60501i
\(536\) −1.17490e6 1.87806e6i −0.176640 0.282356i
\(537\) 620271. 1.07434e6i 0.0928208 0.160770i
\(538\) −7.23823e6 + 4.29375e6i −1.07814 + 0.639560i
\(539\) 2.35734e6i 0.349502i
\(540\) −4.48748e6 + 106006.i −0.662244 + 0.0156439i
\(541\) 5.97248e6 + 1.03446e7i 0.877327 + 1.51958i 0.854263 + 0.519841i \(0.174009\pi\)
0.0230644 + 0.999734i \(0.492658\pi\)
\(542\) −7.37290e6 + 4.37364e6i −1.07805 + 0.639506i
\(543\) 2.41327e6i 0.351242i
\(544\) −3.73005e6 + 220499.i −0.540402 + 0.0319454i
\(545\) −1.05525e7 + 6.09247e6i −1.52182 + 0.878623i
\(546\) −912672. + 1.62481e6i −0.131019 + 0.233249i
\(547\) −889386. 1.54046e6i −0.127093 0.220132i 0.795456 0.606011i \(-0.207231\pi\)
−0.922549 + 0.385880i \(0.873898\pi\)
\(548\) 1.94456e6 3.55965e6i 0.276611 0.506356i
\(549\) 3.47523e6 6.01927e6i 0.492099 0.852341i
\(550\) −212090. 1.79591e7i −0.0298960 2.53149i
\(551\) 186573. + 213173.i 0.0261800 + 0.0299125i
\(552\) −5637.40 159060.i −0.000787465 0.0222184i
\(553\) −428580. 247441.i −0.0595962 0.0344079i
\(554\) 1.15048e6 2.04817e6i 0.159259 0.283525i
\(555\) 2.23647e6 1.29123e6i 0.308199 0.177939i
\(556\) −8.28453e6 4.52565e6i −1.13653 0.620860i
\(557\) 2.29175e6 + 3.96943e6i 0.312989 + 0.542114i 0.979008 0.203821i \(-0.0653362\pi\)
−0.666019 + 0.745935i \(0.732003\pi\)
\(558\) −1.12806e7 + 133219.i −1.53372 + 0.0181126i
\(559\) −7.21564e6 −0.976665
\(560\) 1.26177e7 8.10239e6i 1.70023 1.09180i
\(561\) 782686. 451884.i 0.104998 0.0606205i
\(562\) −32476.9 2.75004e6i −0.00433744 0.367280i
\(563\) −1.21036e7 −1.60932 −0.804662 0.593733i \(-0.797654\pi\)
−0.804662 + 0.593733i \(0.797654\pi\)
\(564\) −1.05560e6 + 643160.i −0.139734 + 0.0851375i
\(565\) −1.10970e7 6.40685e6i −1.46246 0.844352i
\(566\) 2.92023e6 1.73229e6i 0.383156 0.227290i
\(567\) −6.74067e6 3.89173e6i −0.880533 0.508376i
\(568\) −2.41045e6 + 4.53910e6i −0.313493 + 0.590335i
\(569\) 479166.i 0.0620448i −0.999519 0.0310224i \(-0.990124\pi\)
0.999519 0.0310224i \(-0.00987632\pi\)
\(570\) −538166. 2.56052e6i −0.0693791 0.330096i
\(571\) 9.81000e6i 1.25915i 0.776938 + 0.629577i \(0.216772\pi\)
−0.776938 + 0.629577i \(0.783228\pi\)
\(572\) 5.46280e6 1.00001e7i 0.698112 1.27794i
\(573\) 2.01353e6 + 1.16251e6i 0.256196 + 0.147915i
\(574\) 3.77543e6 + 6.36446e6i 0.478285 + 0.806273i
\(575\) 1.72551e6 + 996222.i 0.217644 + 0.125657i
\(576\) 4.29837e6 + 6.35831e6i 0.539819 + 0.798520i
\(577\) 1.22985e7 1.53784 0.768921 0.639344i \(-0.220794\pi\)
0.768921 + 0.639344i \(0.220794\pi\)
\(578\) −5.67773e6 + 67051.9i −0.706895 + 0.00834817i
\(579\) −61565.8 + 35545.1i −0.00763209 + 0.00440639i
\(580\) −488017. + 297340.i −0.0602372 + 0.0367015i
\(581\) 9.25522e6 1.13749
\(582\) −27541.4 2.33211e6i −0.00337037 0.285392i
\(583\) 4.18297e6 + 7.24512e6i 0.509699 + 0.882824i
\(584\) −5.18307e6 + 9.76019e6i −0.628861 + 1.18420i
\(585\) 1.51534e7 8.74880e6i 1.83071 1.05696i
\(586\) −3.65605e6 2.05364e6i −0.439813 0.247048i
\(587\) −2.59114e6 1.49599e6i −0.310381 0.179198i 0.336716 0.941606i \(-0.390684\pi\)
−0.647097 + 0.762408i \(0.724017\pi\)
\(588\) −472620. + 11164.5i −0.0563726 + 0.00133167i
\(589\) −2.60078e6 1.31434e7i −0.308898 1.56106i
\(590\) 499176. 5895.08i 0.0590369 0.000697204i
\(591\) −117041. + 202721.i −0.0137838 + 0.0238742i
\(592\) −7.99498e6 4.12538e6i −0.937590 0.483793i
\(593\) 93867.2 + 162583.i 0.0109617 + 0.0189862i 0.871454 0.490477i \(-0.163177\pi\)
−0.860493 + 0.509463i \(0.829844\pi\)
\(594\) −3.29765e6 1.85232e6i −0.383476 0.215403i
\(595\) −8.18047e6 + 4.72300e6i −0.947296 + 0.546922i
\(596\) 9.78461e6 231137.i 1.12831 0.0266535i
\(597\) 553097.i 0.0635134i
\(598\) 644935. + 1.08720e6i 0.0737501 + 0.124325i
\(599\) 2.92851e6 + 5.07233e6i 0.333488 + 0.577617i 0.983193 0.182569i \(-0.0584411\pi\)
−0.649706 + 0.760186i \(0.725108\pi\)
\(600\) 3.59958e6 127577.i 0.408201 0.0144675i
\(601\) 8.15119e6i 0.920524i 0.887783 + 0.460262i \(0.152244\pi\)
−0.887783 + 0.460262i \(0.847756\pi\)
\(602\) −4.08205e6 6.88136e6i −0.459079 0.773897i
\(603\) 1.43317e6 2.48232e6i 0.160511 0.278013i
\(604\) 5.39484e6 + 8.85442e6i 0.601709 + 0.987569i
\(605\) 3.10045e6 5.37014e6i 0.344379 0.596482i
\(606\) −1.55631e6 + 2.77066e6i −0.172153 + 0.306479i
\(607\) 6.59790e6 0.726832 0.363416 0.931627i \(-0.381610\pi\)
0.363416 + 0.931627i \(0.381610\pi\)
\(608\) −6.49283e6 + 6.39744e6i −0.712320 + 0.701855i
\(609\) 78751.7 0.00860432
\(610\) −8.15502e6 + 1.45182e7i −0.887361 + 1.57975i
\(611\) 4.90879e6 8.50227e6i 0.531951 0.921365i
\(612\) −2.51556e6 4.12872e6i −0.271491 0.445592i
\(613\) 2.36234e6 4.09169e6i 0.253916 0.439796i −0.710684 0.703511i \(-0.751615\pi\)
0.964601 + 0.263715i \(0.0849479\pi\)
\(614\) 3.18186e6 + 5.36385e6i 0.340612 + 0.574190i
\(615\) 2.60470e6i 0.277697i
\(616\) 1.26272e7 447534.i 1.34077 0.0475197i
\(617\) −7.56984e6 1.31114e7i −0.800523 1.38655i −0.919272 0.393622i \(-0.871222\pi\)
0.118749 0.992924i \(-0.462112\pi\)
\(618\) 1.32897e6 + 2.24032e6i 0.139973 + 0.235960i
\(619\) 6.62023e6i 0.694459i −0.937780 0.347229i \(-0.887122\pi\)
0.937780 0.347229i \(-0.112878\pi\)
\(620\) 2.70201e7 638284.i 2.82298 0.0666860i
\(621\) 363376. 209795.i 0.0378118 0.0218306i
\(622\) −1.62468e7 9.12601e6i −1.68381 0.945812i
\(623\) 3.73742e6 + 6.47341e6i 0.385791 + 0.668210i
\(624\) 2.03077e6 + 1.04787e6i 0.208785 + 0.107732i
\(625\) −7.17008e6 + 1.24189e7i −0.734216 + 1.27170i
\(626\) −6.36458e6 + 75163.3i −0.649133 + 0.00766602i
\(627\) 710747. 2.08696e6i 0.0722015 0.212005i
\(628\) −3.44689e6 + 81424.2i −0.348761 + 0.00823862i
\(629\) 4.90801e6 + 2.83364e6i 0.494628 + 0.285573i
\(630\) 1.69161e7 + 9.50194e6i 1.69804 + 0.953808i
\(631\) 1.34738e7 7.77911e6i 1.34715 0.777780i 0.359309 0.933219i \(-0.383013\pi\)
0.987845 + 0.155439i \(0.0496792\pi\)
\(632\) −284613. + 535952.i −0.0283441 + 0.0533744i
\(633\) −1.04802e6 1.81523e6i −0.103959 0.180062i
\(634\) 110424. + 9.35030e6i 0.0109103 + 0.923852i
\(635\) −7.31851e6 −0.720259
\(636\) −1.43275e6 + 872952.i −0.140452 + 0.0855751i
\(637\) 3.25172e6 1.87738e6i 0.317515 0.183318i
\(638\) −481491. + 5686.23i −0.0468314 + 0.000553061i
\(639\) −6.64986e6 −0.644259
\(640\) −1.04771e7 1.51105e7i −1.01110 1.45824i
\(641\) 5.46603e6 + 3.15581e6i 0.525445 + 0.303366i 0.739159 0.673531i \(-0.235223\pi\)
−0.213715 + 0.976896i \(0.568556\pi\)
\(642\) 1.71687e6 + 2.89423e6i 0.164399 + 0.277137i
\(643\) 1.33842e7 + 7.72734e6i 1.27663 + 0.737060i 0.976226 0.216754i \(-0.0695468\pi\)
0.300399 + 0.953814i \(0.402880\pi\)
\(644\) −671982. + 1.23011e6i −0.0638474 + 0.116877i
\(645\) 2.81625e6i 0.266546i
\(646\) 4.27580e6 3.83236e6i 0.403122 0.361314i
\(647\) 3.45945e6i 0.324898i 0.986717 + 0.162449i \(0.0519392\pi\)
−0.986717 + 0.162449i \(0.948061\pi\)
\(648\) −4.47637e6 + 8.42941e6i −0.418783 + 0.788606i
\(649\) 364287. + 210321.i 0.0339494 + 0.0196007i
\(650\) −2.46039e7 + 1.45951e7i −2.28413 + 1.35495i
\(651\) −3.22559e6 1.86230e6i −0.298302 0.172225i
\(652\) 1.78121e7 1.08526e7i 1.64095 0.999804i
\(653\) −7.54936e6 −0.692831 −0.346415 0.938081i \(-0.612601\pi\)
−0.346415 + 0.938081i \(0.612601\pi\)
\(654\) −24314.7 2.05889e6i −0.00222293 0.188230i
\(655\) −241974. + 139704.i −0.0220376 + 0.0127234i
\(656\) 7.63538e6 4.90304e6i 0.692742 0.444842i
\(657\) −1.42988e7 −1.29237
\(658\) 1.08854e7 128552.i 0.980120 0.0115749i
\(659\) 401913. + 696134.i 0.0360511 + 0.0624424i 0.883488 0.468454i \(-0.155189\pi\)
−0.847437 + 0.530896i \(0.821855\pi\)
\(660\) 3.90299e6 + 2.13212e6i 0.348769 + 0.190525i
\(661\) −1.35990e7 + 7.85140e6i −1.21061 + 0.698946i −0.962892 0.269887i \(-0.913014\pi\)
−0.247717 + 0.968832i \(0.579680\pi\)
\(662\) 1.74795e6 3.11184e6i 0.155019 0.275976i
\(663\) −1.24666e6 719760.i −0.110145 0.0635922i
\(664\) −401979. 1.13419e7i −0.0353820 0.998306i
\(665\) −7.42857e6 + 2.18125e7i −0.651405 + 1.91272i
\(666\) −137462. 1.16398e7i −0.0120087 1.01686i
\(667\) 26709.2 46261.7i 0.00232459 0.00402631i
\(668\) −6.33677e6 + 1.15999e7i −0.549448 + 1.00580i
\(669\) 1.34403e6 + 2.32794e6i 0.116103 + 0.201097i
\(670\) −3.36309e6 + 5.98723e6i −0.289436 + 0.515275i
\(671\) −1.21512e7 + 7.01552e6i −1.04187 + 0.601525i
\(672\) 149529. + 2.52949e6i 0.0127732 + 0.216078i
\(673\) 1.30799e7i 1.11319i 0.830785 + 0.556593i \(0.187892\pi\)
−0.830785 + 0.556593i \(0.812108\pi\)
\(674\) −1.85109e6 + 1.09808e6i −0.156956 + 0.0931070i
\(675\) 4.74775e6 + 8.22335e6i 0.401078 + 0.694687i
\(676\) −6.26661e6 + 148033.i −0.527432 + 0.0124593i
\(677\) 7.58909e6i 0.636382i −0.948027 0.318191i \(-0.896925\pi\)
0.948027 0.318191i \(-0.103075\pi\)
\(678\) 1.86227e6 1.10471e6i 0.155586 0.0922941i
\(679\) −1.02700e7 + 1.77881e7i −0.854859 + 1.48066i
\(680\) 6.14312e6 + 9.81966e6i 0.509467 + 0.814375i
\(681\) 54466.4 94338.5i 0.00450050 0.00779509i
\(682\) 1.98559e7 + 1.11533e7i 1.63466 + 0.918207i
\(683\) −6.67892e6 −0.547841 −0.273920 0.961752i \(-0.588320\pi\)
−0.273920 + 0.961752i \(0.588320\pi\)
\(684\) −1.12509e7 3.53742e6i −0.919489 0.289099i
\(685\) −1.25736e7 −1.02384
\(686\) −8.60693e6 4.83461e6i −0.698294 0.392239i
\(687\) 1.15476e6 2.00010e6i 0.0933468 0.161681i
\(688\) −8.25550e6 + 5.30125e6i −0.664924 + 0.426979i
\(689\) 6.66263e6 1.15400e7i 0.534685 0.926101i
\(690\) −424333. + 251716.i −0.0339300 + 0.0201274i
\(691\) 1.34268e7i 1.06974i −0.844935 0.534869i \(-0.820361\pi\)
0.844935 0.534869i \(-0.179639\pi\)
\(692\) 429872. + 1.81975e7i 0.0341251 + 1.44460i
\(693\) 8.17424e6 + 1.41582e7i 0.646568 + 1.11989i
\(694\) −2.68586e6 + 1.59327e6i −0.211683 + 0.125571i
\(695\) 2.92631e7i 2.29804i
\(696\) −3420.39 96506.6i −0.000267641 0.00755151i
\(697\) −4.95029e6 + 2.85805e6i −0.385965 + 0.222837i
\(698\) −1.55695e6 + 2.77181e6i −0.120959 + 0.215340i
\(699\) −155570. 269454.i −0.0120429 0.0208589i
\(700\) −2.78379e7 1.52072e7i −2.14730 1.17302i
\(701\) 6.43375e6 1.11436e7i 0.494503 0.856505i −0.505477 0.862840i \(-0.668683\pi\)
0.999980 + 0.00633544i \(0.00201665\pi\)
\(702\) 71140.9 + 6.02398e6i 0.00544850 + 0.461361i
\(703\) 1.35619e7 2.68360e6i 1.03498 0.204800i
\(704\) −1.09687e6 1.54546e7i −0.0834107 1.17524i
\(705\) 3.31841e6 + 1.91589e6i 0.251453 + 0.145177i
\(706\) 192021. 341850.i 0.0144989 0.0258121i
\(707\) 2.42371e7 1.39933e7i 1.82361 1.05286i
\(708\) −40441.8 + 74031.5i −0.00303212 + 0.00555052i
\(709\) −4.30339e6 7.45369e6i −0.321510 0.556872i 0.659290 0.751889i \(-0.270857\pi\)
−0.980800 + 0.195017i \(0.937524\pi\)
\(710\) 1.59305e7 188133.i 1.18600 0.0140062i
\(711\) −785179. −0.0582499
\(712\) 7.77054e6 4.86120e6i 0.574449 0.359372i
\(713\) −2.18797e6 + 1.26322e6i −0.161182 + 0.0930585i
\(714\) −18849.2 1.59609e6i −0.00138372 0.117169i
\(715\) −3.53228e7 −2.58398
\(716\) 6.97052e6 + 1.14405e7i 0.508139 + 0.833996i
\(717\) −2.23757e6 1.29186e6i −0.162547 0.0938467i
\(718\) 8.81129e6 5.22690e6i 0.637864 0.378384i
\(719\) −638690. 368748.i −0.0460753 0.0266016i 0.476785 0.879020i \(-0.341802\pi\)
−0.522861 + 0.852418i \(0.675135\pi\)
\(720\) 1.09095e7 2.11426e7i 0.784284 1.51994i
\(721\) 2.29404e7i 1.64347i
\(722\) 1.69184e6 1.39044e7i 0.120786 0.992679i
\(723\) 1.93921e6i 0.137968i
\(724\) 2.28712e7 + 1.24940e7i 1.62159 + 0.885839i
\(725\) 1.04692e6 + 604441.i 0.0739723 + 0.0427079i
\(726\) 534600. + 901206.i 0.0376433 + 0.0634575i
\(727\) −4.89872e6 2.82828e6i −0.343753 0.198466i 0.318177 0.948031i \(-0.396929\pi\)
−0.661930 + 0.749565i \(0.730263\pi\)
\(728\) −1.06736e7 1.70616e7i −0.746420 1.19314i
\(729\) −1.13310e7 −0.789678
\(730\) 3.42545e7 404533.i 2.37909 0.0280962i
\(731\) 5.35233e6 3.09017e6i 0.370467 0.213889i
\(732\) −1.46408e6 2.40296e6i −0.100992 0.165756i
\(733\) −1.50115e7 −1.03196 −0.515981 0.856600i \(-0.672572\pi\)
−0.515981 + 0.856600i \(0.672572\pi\)
\(734\) 338385. + 2.86533e7i 0.0231831 + 1.96306i
\(735\) 732737. + 1.26914e6i 0.0500299 + 0.0866543i
\(736\) 1.53663e6 + 770057.i 0.104562 + 0.0523996i
\(737\) −5.01112e6 + 2.89317e6i −0.339833 + 0.196203i
\(738\) 1.02365e7 + 5.74996e6i 0.691849 + 0.388619i
\(739\) 6.63287e6 + 3.82949e6i 0.446776 + 0.257946i 0.706468 0.707745i \(-0.250288\pi\)
−0.259691 + 0.965692i \(0.583621\pi\)
\(740\) 658610. + 2.78806e7i 0.0442129 + 1.87164i
\(741\) −3.44480e6 + 681649.i −0.230472 + 0.0456053i
\(742\) 1.47746e7 174482.i 0.985157 0.0116343i
\(743\) 1.01511e7 1.75822e7i 0.674593 1.16843i −0.301995 0.953310i \(-0.597653\pi\)
0.976588 0.215120i \(-0.0690141\pi\)
\(744\) −2.14206e6 + 4.03370e6i −0.141873 + 0.267160i
\(745\) −1.51698e7 2.62749e7i −1.00136 1.73440i
\(746\) −1.03987e7 5.84105e6i −0.684118 0.384277i
\(747\) 1.27170e7 7.34217e6i 0.833842 0.481419i
\(748\) 230490. + 9.75720e6i 0.0150625 + 0.637634i
\(749\) 2.96362e7i 1.93027i
\(750\) −3.04541e6 5.13383e6i −0.197694 0.333264i
\(751\) 7.01541e6 + 1.21510e7i 0.453893 + 0.786165i 0.998624 0.0524458i \(-0.0167017\pi\)
−0.544731 + 0.838611i \(0.683368\pi\)
\(752\) −630316. 1.33340e7i −0.0406456 0.859834i
\(753\) 5.09047e6i 0.327167i
\(754\) 391303. + 659642.i 0.0250660 + 0.0422552i
\(755\) 1.60705e7 2.78349e7i 1.02604 1.77714i
\(756\) −5.70465e6 + 3.47575e6i −0.363015 + 0.221179i
\(757\) −5.14772e6 + 8.91612e6i −0.326494 + 0.565505i −0.981814 0.189847i \(-0.939201\pi\)
0.655319 + 0.755352i \(0.272534\pi\)
\(758\) 8.68532e6 1.54623e7i 0.549051 0.977462i
\(759\) −415726. −0.0261940
\(760\) 2.70529e7 + 8.15600e6i 1.69894 + 0.512205i
\(761\) 2.13670e7 1.33747 0.668733 0.743502i \(-0.266837\pi\)
0.668733 + 0.743502i \(0.266837\pi\)
\(762\) 605658. 1.07824e6i 0.0377868 0.0672709i
\(763\) −9.06679e6 + 1.57041e7i −0.563822 + 0.976568i
\(764\) −2.14419e7 + 1.30642e7i −1.32902 + 0.809746i
\(765\) −7.49351e6 + 1.29791e7i −0.462948 + 0.801849i
\(766\) 4.40025e6 + 7.41777e6i 0.270960 + 0.456774i
\(767\) 669999.i 0.0411231i
\(768\) 3.09328e6 293103.i 0.189241 0.0179315i
\(769\) −1.39178e7