Properties

Label 49.6.g.a.2.4
Level $49$
Weight $6$
Character 49.2
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
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] = [49,6,Mod(2,49)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(49, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([26]))
 
N = Newforms(chi, 6, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("49.2");
 
S:= CuspForms(chi, 6);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 49.g (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.85880717084\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(22\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 2.4
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-7.58622 - 2.34004i) q^{2} +(-8.77900 + 22.3685i) q^{3} +(25.6353 + 17.4778i) q^{4} +(44.1683 - 6.65731i) q^{5} +(118.943 - 149.149i) q^{6} +(109.919 + 68.7371i) q^{7} +(4.81872 + 6.04248i) q^{8} +(-245.149 - 227.465i) q^{9} +O(q^{10})\) \(q+(-7.58622 - 2.34004i) q^{2} +(-8.77900 + 22.3685i) q^{3} +(25.6353 + 17.4778i) q^{4} +(44.1683 - 6.65731i) q^{5} +(118.943 - 149.149i) q^{6} +(109.919 + 68.7371i) q^{7} +(4.81872 + 6.04248i) q^{8} +(-245.149 - 227.465i) q^{9} +(-350.649 - 52.8518i) q^{10} +(-18.2266 + 16.9118i) q^{11} +(-616.006 + 419.986i) q^{12} +(101.671 + 445.452i) q^{13} +(-673.023 - 778.670i) q^{14} +(-238.840 + 1046.43i) q^{15} +(-385.144 - 981.331i) q^{16} +(113.891 + 1519.77i) q^{17} +(1327.48 + 2299.26i) q^{18} +(-877.586 + 1520.02i) q^{19} +(1248.62 + 601.306i) q^{20} +(-2502.53 + 1855.29i) q^{21} +(177.845 - 85.6459i) q^{22} +(363.800 - 4854.57i) q^{23} +(-177.465 + 54.7407i) q^{24} +(-1079.64 + 333.025i) q^{25} +(271.072 - 3617.21i) q^{26} +(1979.29 - 953.176i) q^{27} +(1616.43 + 3683.24i) q^{28} +(-945.372 - 455.267i) q^{29} +(4260.57 - 7379.52i) q^{30} +(-959.675 - 1662.21i) q^{31} +(606.953 + 8099.22i) q^{32} +(-218.281 - 556.172i) q^{33} +(2692.32 - 11795.8i) q^{34} +(5312.55 + 2304.24i) q^{35} +(-2308.87 - 10115.8i) q^{36} +(-10742.5 + 7324.13i) q^{37} +(10214.5 - 9477.65i) q^{38} +(-10856.7 - 1636.38i) q^{39} +(253.062 + 234.807i) q^{40} +(4285.22 + 5373.49i) q^{41} +(23326.2 - 8218.60i) q^{42} +(1812.37 - 2272.64i) q^{43} +(-762.827 + 114.978i) q^{44} +(-12342.1 - 8414.72i) q^{45} +(-14119.8 + 35976.5i) q^{46} +(11472.8 + 3538.88i) q^{47} +25332.1 q^{48} +(7357.42 + 15111.0i) q^{49} +8969.69 q^{50} +(-34994.9 - 10794.5i) q^{51} +(-5179.16 + 13196.3i) q^{52} +(15738.6 + 10730.4i) q^{53} +(-17245.8 + 2599.39i) q^{54} +(-692.453 + 868.308i) q^{55} +(114.327 + 995.409i) q^{56} +(-26296.4 - 32974.6i) q^{57} +(6106.46 + 5665.96i) q^{58} +(-24304.4 - 3663.30i) q^{59} +(-24412.0 + 22651.0i) q^{60} +(-21212.6 + 14462.5i) q^{61} +(3390.68 + 14855.5i) q^{62} +(-11311.3 - 41853.6i) q^{63} +(6841.37 - 29974.0i) q^{64} +(7456.17 + 18998.0i) q^{65} +(354.467 + 4730.03i) q^{66} +(-25939.4 - 44928.4i) q^{67} +(-23642.7 + 40950.3i) q^{68} +(105396. + 50756.0i) q^{69} +(-34910.2 - 29912.0i) q^{70} +(33162.9 - 15970.4i) q^{71} +(193.149 - 2577.40i) q^{72} +(-17615.2 + 5433.57i) q^{73} +(98633.9 - 30424.5i) q^{74} +(2028.89 - 27073.6i) q^{75} +(-49063.9 + 23627.9i) q^{76} +(-3165.92 + 606.089i) q^{77} +(78532.0 + 37819.0i) q^{78} +(-40696.1 + 70487.8i) q^{79} +(-23544.2 - 40779.8i) q^{80} +(-2127.96 - 28395.6i) q^{81} +(-19934.4 - 50792.0i) q^{82} +(5347.79 - 23430.2i) q^{83} +(-96579.5 + 3822.00i) q^{84} +(15148.0 + 66367.6i) q^{85} +(-19067.1 + 12999.8i) q^{86} +(18483.1 - 17149.8i) q^{87} +(-190.018 - 28.6407i) q^{88} +(85248.1 + 79098.7i) q^{89} +(73939.3 + 92717.0i) q^{90} +(-19443.4 + 55952.3i) q^{91} +(94173.6 - 118090. i) q^{92} +(45606.1 - 6874.01i) q^{93} +(-78753.7 - 53693.4i) q^{94} +(-28642.3 + 72979.3i) q^{95} +(-186496. - 57526.5i) q^{96} -122547. q^{97} +(-20454.6 - 131852. i) q^{98} +8315.09 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9} - 792 q^{10} - 635 q^{11} + 3605 q^{12} + 1834 q^{13} - 875 q^{14} - 2572 q^{15} + 3735 q^{16} - 1023 q^{17} - 1336 q^{18} + 9741 q^{19} + 8330 q^{20} + 1512 q^{21} + 842 q^{22} - 1553 q^{23} + 1756 q^{24} + 13144 q^{25} - 1946 q^{26} - 19849 q^{27} - 31584 q^{28} - 30356 q^{29} + 6129 q^{30} + 43903 q^{31} + 27725 q^{32} - 3412 q^{33} - 73182 q^{34} - 17360 q^{35} - 102868 q^{36} - 22105 q^{37} + 19116 q^{38} + 109165 q^{39} + 77354 q^{40} + 47446 q^{41} + 157738 q^{42} + 6674 q^{43} + 15154 q^{44} - 130923 q^{45} - 136952 q^{46} - 195163 q^{47} - 151484 q^{48} - 131194 q^{49} + 263000 q^{50} - 84276 q^{51} - 58758 q^{52} - 110577 q^{53} + 170313 q^{54} + 290245 q^{55} + 79688 q^{56} + 47310 q^{57} + 252156 q^{58} + 127308 q^{59} + 86254 q^{60} + 166863 q^{61} - 63578 q^{62} - 243033 q^{63} - 293812 q^{64} - 16702 q^{65} - 661788 q^{66} + 46195 q^{67} + 393869 q^{68} + 321394 q^{69} - 64330 q^{70} - 61793 q^{71} + 333944 q^{72} + 21699 q^{73} + 133514 q^{74} - 431136 q^{75} + 3087 q^{76} - 48993 q^{77} - 450576 q^{78} - 181 q^{79} + 264228 q^{80} + 142090 q^{81} - 512442 q^{82} + 102424 q^{83} + 344932 q^{84} - 205502 q^{85} + 611991 q^{86} + 1427200 q^{87} + 685993 q^{88} + 145800 q^{89} + 677844 q^{90} + 732956 q^{91} + 10018 q^{92} - 1233536 q^{93} - 601938 q^{94} - 945265 q^{95} - 2372958 q^{96} - 1932952 q^{97} - 672973 q^{98} + 1090736 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{21}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.58622 2.34004i −1.34107 0.413664i −0.460531 0.887644i \(-0.652341\pi\)
−0.880536 + 0.473979i \(0.842817\pi\)
\(3\) −8.77900 + 22.3685i −0.563173 + 1.43494i 0.311508 + 0.950244i \(0.399166\pi\)
−0.874681 + 0.484699i \(0.838929\pi\)
\(4\) 25.6353 + 17.4778i 0.801103 + 0.546183i
\(5\) 44.1683 6.65731i 0.790107 0.119090i 0.258423 0.966032i \(-0.416797\pi\)
0.531685 + 0.846942i \(0.321559\pi\)
\(6\) 118.943 149.149i 1.34884 1.69139i
\(7\) 109.919 + 68.7371i 0.847868 + 0.530208i
\(8\) 4.81872 + 6.04248i 0.0266199 + 0.0333803i
\(9\) −245.149 227.465i −1.00884 0.936070i
\(10\) −350.649 52.8518i −1.10885 0.167132i
\(11\) −18.2266 + 16.9118i −0.0454176 + 0.0421414i −0.702555 0.711629i \(-0.747958\pi\)
0.657137 + 0.753771i \(0.271767\pi\)
\(12\) −616.006 + 419.986i −1.23490 + 0.841941i
\(13\) 101.671 + 445.452i 0.166856 + 0.731042i 0.987241 + 0.159232i \(0.0509016\pi\)
−0.820386 + 0.571811i \(0.806241\pi\)
\(14\) −673.023 778.670i −0.917719 1.06178i
\(15\) −238.840 + 1046.43i −0.274081 + 1.20083i
\(16\) −385.144 981.331i −0.376117 0.958331i
\(17\) 113.891 + 1519.77i 0.0955801 + 1.27543i 0.814430 + 0.580262i \(0.197050\pi\)
−0.718850 + 0.695166i \(0.755331\pi\)
\(18\) 1327.48 + 2299.26i 0.965708 + 1.67266i
\(19\) −877.586 + 1520.02i −0.557707 + 0.965976i 0.439981 + 0.898007i \(0.354985\pi\)
−0.997687 + 0.0679691i \(0.978348\pi\)
\(20\) 1248.62 + 601.306i 0.698002 + 0.336140i
\(21\) −2502.53 + 1855.29i −1.23831 + 0.918042i
\(22\) 177.845 85.6459i 0.0783405 0.0377268i
\(23\) 363.800 4854.57i 0.143398 1.91351i −0.209429 0.977824i \(-0.567160\pi\)
0.352827 0.935689i \(-0.385221\pi\)
\(24\) −177.465 + 54.7407i −0.0628905 + 0.0193991i
\(25\) −1079.64 + 333.025i −0.345485 + 0.106568i
\(26\) 271.072 3617.21i 0.0786415 1.04940i
\(27\) 1979.29 953.176i 0.522517 0.251631i
\(28\) 1616.43 + 3683.24i 0.389639 + 0.887842i
\(29\) −945.372 455.267i −0.208741 0.100524i 0.326592 0.945165i \(-0.394100\pi\)
−0.535333 + 0.844641i \(0.679814\pi\)
\(30\) 4260.57 7379.52i 0.864300 1.49701i
\(31\) −959.675 1662.21i −0.179358 0.310657i 0.762303 0.647220i \(-0.224069\pi\)
−0.941661 + 0.336564i \(0.890735\pi\)
\(32\) 606.953 + 8099.22i 0.104780 + 1.39820i
\(33\) −218.281 556.172i −0.0348925 0.0889046i
\(34\) 2692.32 11795.8i 0.399420 1.74997i
\(35\) 5312.55 + 2304.24i 0.733049 + 0.317949i
\(36\) −2308.87 10115.8i −0.296922 1.30090i
\(37\) −10742.5 + 7324.13i −1.29004 + 0.879532i −0.997063 0.0765886i \(-0.975597\pi\)
−0.292974 + 0.956121i \(0.594645\pi\)
\(38\) 10214.5 9477.65i 1.14751 1.06474i
\(39\) −10856.7 1636.38i −1.14297 0.172275i
\(40\) 253.062 + 234.807i 0.0250078 + 0.0232039i
\(41\) 4285.22 + 5373.49i 0.398119 + 0.499226i 0.939974 0.341247i \(-0.110849\pi\)
−0.541855 + 0.840472i \(0.682278\pi\)
\(42\) 23326.2 8218.60i 2.04042 0.718910i
\(43\) 1812.37 2272.64i 0.149478 0.187439i −0.701455 0.712714i \(-0.747466\pi\)
0.850933 + 0.525274i \(0.176037\pi\)
\(44\) −762.827 + 114.978i −0.0594011 + 0.00895327i
\(45\) −12342.1 8414.72i −0.908571 0.619453i
\(46\) −14119.8 + 35976.5i −0.983858 + 2.50683i
\(47\) 11472.8 + 3538.88i 0.757571 + 0.233680i 0.649394 0.760452i \(-0.275023\pi\)
0.108177 + 0.994132i \(0.465499\pi\)
\(48\) 25332.1 1.58697
\(49\) 7357.42 + 15111.0i 0.437759 + 0.899092i
\(50\) 8969.69 0.507402
\(51\) −34994.9 10794.5i −1.88399 0.581135i
\(52\) −5179.16 + 13196.3i −0.265614 + 0.676773i
\(53\) 15738.6 + 10730.4i 0.769620 + 0.524718i 0.883305 0.468799i \(-0.155313\pi\)
−0.113685 + 0.993517i \(0.536265\pi\)
\(54\) −17245.8 + 2599.39i −0.804820 + 0.121307i
\(55\) −692.453 + 868.308i −0.0308662 + 0.0387050i
\(56\) 114.327 + 995.409i 0.00487166 + 0.0424162i
\(57\) −26296.4 32974.6i −1.07203 1.34429i
\(58\) 6106.46 + 5665.96i 0.238352 + 0.221159i
\(59\) −24304.4 3663.30i −0.908982 0.137007i −0.322124 0.946697i \(-0.604397\pi\)
−0.586857 + 0.809690i \(0.699635\pi\)
\(60\) −24412.0 + 22651.0i −0.875438 + 0.812287i
\(61\) −21212.6 + 14462.5i −0.729911 + 0.497645i −0.870343 0.492445i \(-0.836103\pi\)
0.140432 + 0.990090i \(0.455151\pi\)
\(62\) 3390.68 + 14855.5i 0.112023 + 0.490805i
\(63\) −11311.3 41853.6i −0.359054 1.32856i
\(64\) 6841.37 29974.0i 0.208782 0.914734i
\(65\) 7456.17 + 18998.0i 0.218893 + 0.557731i
\(66\) 354.467 + 4730.03i 0.0100165 + 0.133661i
\(67\) −25939.4 44928.4i −0.705949 1.22274i −0.966348 0.257238i \(-0.917187\pi\)
0.260399 0.965501i \(-0.416146\pi\)
\(68\) −23642.7 + 40950.3i −0.620047 + 1.07395i
\(69\) 105396. + 50756.0i 2.66502 + 1.28341i
\(70\) −34910.2 29912.0i −0.851543 0.729627i
\(71\) 33162.9 15970.4i 0.780739 0.375984i −0.000672585 1.00000i \(-0.500214\pi\)
0.781412 + 0.624016i \(0.214500\pi\)
\(72\) 193.149 2577.40i 0.00439099 0.0585936i
\(73\) −17615.2 + 5433.57i −0.386884 + 0.119338i −0.482094 0.876119i \(-0.660124\pi\)
0.0952105 + 0.995457i \(0.469648\pi\)
\(74\) 98633.9 30424.5i 2.09386 0.645869i
\(75\) 2028.89 27073.6i 0.0416490 0.555768i
\(76\) −49063.9 + 23627.9i −0.974380 + 0.469237i
\(77\) −3165.92 + 606.089i −0.0608518 + 0.0116496i
\(78\) 78532.0 + 37819.0i 1.46154 + 0.703839i
\(79\) −40696.1 + 70487.8i −0.733644 + 1.27071i 0.221671 + 0.975121i \(0.428849\pi\)
−0.955316 + 0.295588i \(0.904485\pi\)
\(80\) −23544.2 40779.8i −0.411300 0.712393i
\(81\) −2127.96 28395.6i −0.0360372 0.480883i
\(82\) −19934.4 50792.0i −0.327392 0.834182i
\(83\) 5347.79 23430.2i 0.0852077 0.373320i −0.914288 0.405064i \(-0.867249\pi\)
0.999496 + 0.0317446i \(0.0101063\pi\)
\(84\) −96579.5 + 3822.00i −1.49344 + 0.0591007i
\(85\) 15148.0 + 66367.6i 0.227409 + 0.996342i
\(86\) −19067.1 + 12999.8i −0.277997 + 0.189535i
\(87\) 18483.1 17149.8i 0.261804 0.242919i
\(88\) −190.018 28.6407i −0.00261571 0.000394254i
\(89\) 85248.1 + 79098.7i 1.14080 + 1.05851i 0.997630 + 0.0688098i \(0.0219201\pi\)
0.143170 + 0.989698i \(0.454270\pi\)
\(90\) 73939.3 + 92717.0i 0.962209 + 1.20657i
\(91\) −19443.4 + 55952.3i −0.246133 + 0.708295i
\(92\) 94173.6 118090.i 1.16000 1.45460i
\(93\) 45606.1 6874.01i 0.546784 0.0824144i
\(94\) −78753.7 53693.4i −0.919288 0.626760i
\(95\) −28642.3 + 72979.3i −0.325611 + 0.829642i
\(96\) −186496. 57526.5i −2.06534 0.637074i
\(97\) −122547. −1.32243 −0.661216 0.750195i \(-0.729959\pi\)
−0.661216 + 0.750195i \(0.729959\pi\)
\(98\) −20454.6 131852.i −0.215142 1.38683i
\(99\) 8315.09 0.0852666
\(100\) −33497.5 10332.6i −0.334975 0.103326i
\(101\) 31956.8 81424.5i 0.311716 0.794240i −0.686058 0.727547i \(-0.740660\pi\)
0.997774 0.0666923i \(-0.0212446\pi\)
\(102\) 240220. + 163779.i 2.28617 + 1.55868i
\(103\) 200630. 30240.0i 1.86338 0.280860i 0.881760 0.471698i \(-0.156359\pi\)
0.981622 + 0.190838i \(0.0611205\pi\)
\(104\) −2201.71 + 2760.86i −0.0199607 + 0.0250300i
\(105\) −98181.4 + 98605.1i −0.869072 + 0.872822i
\(106\) −94286.9 118232.i −0.815055 1.02205i
\(107\) −9206.52 8542.40i −0.0777385 0.0721308i 0.640347 0.768086i \(-0.278791\pi\)
−0.718085 + 0.695955i \(0.754981\pi\)
\(108\) 67399.2 + 10158.8i 0.556026 + 0.0838074i
\(109\) −2742.02 + 2544.22i −0.0221057 + 0.0205111i −0.691148 0.722713i \(-0.742895\pi\)
0.669043 + 0.743224i \(0.266704\pi\)
\(110\) 7284.97 4966.81i 0.0574045 0.0391377i
\(111\) −69521.4 304593.i −0.535563 2.34646i
\(112\) 25119.2 134341.i 0.189217 1.01196i
\(113\) 27704.0 121379.i 0.204101 0.894226i −0.764306 0.644853i \(-0.776918\pi\)
0.968408 0.249373i \(-0.0802244\pi\)
\(114\) 122328. + 311687.i 0.881586 + 2.24624i
\(115\) −16249.9 216840.i −0.114580 1.52896i
\(116\) −16277.8 28194.0i −0.112318 0.194541i
\(117\) 76400.1 132329.i 0.515976 0.893696i
\(118\) 175806. + 84663.9i 1.16233 + 0.559749i
\(119\) −91945.9 + 174880.i −0.595203 + 1.13207i
\(120\) −7473.91 + 3599.25i −0.0473800 + 0.0228170i
\(121\) −11989.2 + 159984.i −0.0744432 + 0.993376i
\(122\) 194767. 60077.5i 1.18472 0.365437i
\(123\) −157817. + 48680.1i −0.940570 + 0.290127i
\(124\) 4450.23 59384.2i 0.0259913 0.346830i
\(125\) −171231. + 82460.4i −0.980182 + 0.472031i
\(126\) −12129.2 + 343979.i −0.0680622 + 1.93022i
\(127\) 283386. + 136471.i 1.55908 + 0.750814i 0.997083 0.0763248i \(-0.0243186\pi\)
0.561998 + 0.827139i \(0.310033\pi\)
\(128\) 7910.45 13701.3i 0.0426753 0.0739157i
\(129\) 34924.9 + 60491.7i 0.184783 + 0.320053i
\(130\) −12108.1 161571.i −0.0628371 0.838503i
\(131\) −45273.1 115354.i −0.230495 0.587293i 0.768097 0.640334i \(-0.221204\pi\)
−0.998592 + 0.0530408i \(0.983109\pi\)
\(132\) 4124.98 18072.7i 0.0206057 0.0902794i
\(133\) −200946. + 106757.i −0.985030 + 0.523320i
\(134\) 91648.0 + 401536.i 0.440921 + 1.93180i
\(135\) 81076.4 55277.0i 0.382878 0.261042i
\(136\) −8634.38 + 8011.54i −0.0400299 + 0.0371423i
\(137\) −103638. 15620.8i −0.471754 0.0711055i −0.0911372 0.995838i \(-0.529050\pi\)
−0.380617 + 0.924733i \(0.624288\pi\)
\(138\) −680785. 631676.i −3.04307 2.82356i
\(139\) −97435.3 122180.i −0.427739 0.536368i 0.520526 0.853846i \(-0.325736\pi\)
−0.948266 + 0.317477i \(0.897164\pi\)
\(140\) 95915.6 + 151922.i 0.413589 + 0.655088i
\(141\) −179879. + 225561.i −0.761960 + 0.955468i
\(142\) −288952. + 43552.5i −1.20255 + 0.181256i
\(143\) −9386.54 6399.63i −0.0383853 0.0261707i
\(144\) −128801. + 328179.i −0.517622 + 1.31888i
\(145\) −44786.4 13814.8i −0.176899 0.0545662i
\(146\) 146348. 0.568203
\(147\) −402603. + 31914.9i −1.53668 + 0.121815i
\(148\) −403398. −1.51384
\(149\) 230541. + 71112.4i 0.850711 + 0.262409i 0.689298 0.724478i \(-0.257919\pi\)
0.161412 + 0.986887i \(0.448395\pi\)
\(150\) −78744.9 + 200639.i −0.285755 + 0.728093i
\(151\) 325213. + 221727.i 1.16072 + 0.791363i 0.981314 0.192413i \(-0.0616313\pi\)
0.179402 + 0.983776i \(0.442584\pi\)
\(152\) −13413.6 + 2021.77i −0.0470907 + 0.00709778i
\(153\) 317775. 398477.i 1.09746 1.37618i
\(154\) 25435.7 + 2810.46i 0.0864254 + 0.00954941i
\(155\) −53453.1 67028.0i −0.178708 0.224092i
\(156\) −249714. 231700.i −0.821544 0.762282i
\(157\) 561491. + 84631.2i 1.81800 + 0.274019i 0.967668 0.252227i \(-0.0811630\pi\)
0.850332 + 0.526246i \(0.176401\pi\)
\(158\) 473674. 439505.i 1.50951 1.40062i
\(159\) −378193. + 257847.i −1.18637 + 0.808853i
\(160\) 80727.1 + 353689.i 0.249298 + 1.09225i
\(161\) 373678. 508604.i 1.13614 1.54637i
\(162\) −50303.7 + 220395.i −0.150596 + 0.659803i
\(163\) 142806. + 363865.i 0.420997 + 1.07268i 0.971330 + 0.237737i \(0.0764055\pi\)
−0.550333 + 0.834945i \(0.685499\pi\)
\(164\) 15935.7 + 212647.i 0.0462660 + 0.617377i
\(165\) −13343.7 23112.0i −0.0381564 0.0660889i
\(166\) −95397.1 + 165233.i −0.268698 + 0.465399i
\(167\) 401894. + 193542.i 1.11512 + 0.537012i 0.898381 0.439218i \(-0.144744\pi\)
0.216737 + 0.976230i \(0.430459\pi\)
\(168\) −23269.5 6181.38i −0.0636084 0.0168971i
\(169\) 146433. 70518.5i 0.394387 0.189927i
\(170\) 40386.9 538926.i 0.107181 1.43023i
\(171\) 560892. 173012.i 1.46686 0.452467i
\(172\) 86181.6 26583.5i 0.222123 0.0685159i
\(173\) −49658.2 + 662643.i −0.126147 + 1.68331i 0.471746 + 0.881735i \(0.343624\pi\)
−0.597892 + 0.801576i \(0.703995\pi\)
\(174\) −180348. + 86851.0i −0.451583 + 0.217471i
\(175\) −141564. 37605.6i −0.349429 0.0928234i
\(176\) 23616.0 + 11372.9i 0.0574678 + 0.0276750i
\(177\) 295311. 511494.i 0.708511 1.22718i
\(178\) −461617. 799543.i −1.09202 1.89144i
\(179\) 1505.99 + 20096.1i 0.00351310 + 0.0468790i 0.998685 0.0512699i \(-0.0163269\pi\)
−0.995172 + 0.0981490i \(0.968708\pi\)
\(180\) −169323. 431428.i −0.389524 0.992491i
\(181\) 123901. 542844.i 0.281110 1.23162i −0.615262 0.788323i \(-0.710950\pi\)
0.896372 0.443302i \(-0.146193\pi\)
\(182\) 278433. 378968.i 0.623077 0.848055i
\(183\) −137280. 601462.i −0.303025 1.32764i
\(184\) 31086.7 21194.6i 0.0676909 0.0461509i
\(185\) −425721. + 395011.i −0.914524 + 0.848555i
\(186\) −362063. 54572.3i −0.767365 0.115662i
\(187\) −27778.0 25774.2i −0.0580893 0.0538990i
\(188\) 232255. + 291239.i 0.479260 + 0.600973i
\(189\) 283080. + 31278.4i 0.576442 + 0.0636928i
\(190\) 388061. 486613.i 0.779859 0.977912i
\(191\) −859315. + 129521.i −1.70439 + 0.256896i −0.927792 0.373099i \(-0.878295\pi\)
−0.776599 + 0.629995i \(0.783057\pi\)
\(192\) 610414. + 416173.i 1.19501 + 0.814744i
\(193\) 142574. 363272.i 0.275516 0.702003i −0.724404 0.689375i \(-0.757885\pi\)
0.999920 0.0126276i \(-0.00401960\pi\)
\(194\) 929668. + 286765.i 1.77347 + 0.547043i
\(195\) −490416. −0.923587
\(196\) −75498.8 + 515968.i −0.140378 + 0.959362i
\(197\) 58250.1 0.106938 0.0534689 0.998570i \(-0.482972\pi\)
0.0534689 + 0.998570i \(0.482972\pi\)
\(198\) −63080.1 19457.6i −0.114348 0.0352717i
\(199\) 131476. 334995.i 0.235350 0.599661i −0.763590 0.645702i \(-0.776565\pi\)
0.998940 + 0.0460403i \(0.0146603\pi\)
\(200\) −7214.79 4918.96i −0.0127541 0.00869558i
\(201\) 1.23271e6 185800.i 2.15213 0.324382i
\(202\) −432967. + 542924.i −0.746581 + 0.936182i
\(203\) −72620.7 115025.i −0.123686 0.195907i
\(204\) −708440. 888356.i −1.19187 1.49455i
\(205\) 225044. + 208810.i 0.374009 + 0.347030i
\(206\) −1.59278e6 240073.i −2.61510 0.394163i
\(207\) −1.19343e6 + 1.10734e6i −1.93585 + 1.79620i
\(208\) 397978. 271337.i 0.637823 0.434861i
\(209\) −9710.96 42546.5i −0.0153779 0.0673749i
\(210\) 975565. 518291.i 1.52654 0.811009i
\(211\) −149833. + 656460.i −0.231686 + 1.01508i 0.716554 + 0.697531i \(0.245718\pi\)
−0.948241 + 0.317553i \(0.897139\pi\)
\(212\) 215919. + 550154.i 0.329953 + 0.840706i
\(213\) 66097.4 + 882009.i 0.0998241 + 1.33206i
\(214\) 49853.1 + 86348.2i 0.0744146 + 0.128890i
\(215\) 64919.8 112444.i 0.0957814 0.165898i
\(216\) 15297.2 + 7366.74i 0.0223089 + 0.0107434i
\(217\) 8768.59 248673.i 0.0126410 0.358492i
\(218\) 26755.1 12884.6i 0.0381299 0.0183624i
\(219\) 33102.9 441728.i 0.0466397 0.622364i
\(220\) −32927.4 + 10156.7i −0.0458670 + 0.0141481i
\(221\) −665405. + 205250.i −0.916443 + 0.282685i
\(222\) −185355. + 2.47339e6i −0.252419 + 3.36830i
\(223\) −62453.8 + 30076.2i −0.0841002 + 0.0405005i −0.475461 0.879737i \(-0.657719\pi\)
0.391361 + 0.920237i \(0.372004\pi\)
\(224\) −490001. + 931979.i −0.652495 + 1.24104i
\(225\) 340425. + 163940.i 0.448296 + 0.215888i
\(226\) −494200. + 855979.i −0.643623 + 1.11479i
\(227\) −283049. 490255.i −0.364583 0.631477i 0.624126 0.781324i \(-0.285455\pi\)
−0.988709 + 0.149847i \(0.952122\pi\)
\(228\) −97790.1 1.30492e6i −0.124583 1.66244i
\(229\) 179046. + 456202.i 0.225619 + 0.574868i 0.998195 0.0600543i \(-0.0191274\pi\)
−0.772576 + 0.634922i \(0.781032\pi\)
\(230\) −384139. + 1.68302e6i −0.478816 + 2.09783i
\(231\) 14236.3 76138.0i 0.0175537 0.0938796i
\(232\) −1804.54 7906.20i −0.00220113 0.00964379i
\(233\) 922973. 629272.i 1.11378 0.759362i 0.140750 0.990045i \(-0.455048\pi\)
0.973029 + 0.230683i \(0.0740961\pi\)
\(234\) −889242. + 825096.i −1.06165 + 0.985065i
\(235\) 530292. + 79928.7i 0.626391 + 0.0944133i
\(236\) −559024. 518699.i −0.653357 0.606227i
\(237\) −1.21944e6 1.52913e6i −1.41023 1.76837i
\(238\) 1.10675e6 1.11152e6i 1.26650 1.27197i
\(239\) 319254. 400331.i 0.361527 0.453341i −0.567488 0.823381i \(-0.692085\pi\)
0.929016 + 0.370041i \(0.120656\pi\)
\(240\) 1.11888e6 168644.i 1.25388 0.188991i
\(241\) −451161. 307596.i −0.500367 0.341145i 0.286691 0.958023i \(-0.407445\pi\)
−0.787058 + 0.616878i \(0.788397\pi\)
\(242\) 465321. 1.18562e6i 0.510757 1.30139i
\(243\) 1.16397e6 + 359036.i 1.26452 + 0.390052i
\(244\) −796566. −0.856539
\(245\) 425564. + 618449.i 0.452949 + 0.658247i
\(246\) 1.31115e6 1.38138
\(247\) −766323. 236379.i −0.799226 0.246529i
\(248\) 5419.45 13808.5i 0.00559533 0.0142567i
\(249\) 477151. + 325316.i 0.487705 + 0.332512i
\(250\) 1.49195e6 224876.i 1.50975 0.227559i
\(251\) 276531. 346759.i 0.277051 0.347411i −0.623765 0.781612i \(-0.714398\pi\)
0.900816 + 0.434201i \(0.142969\pi\)
\(252\) 441543. 1.27063e6i 0.437997 1.26042i
\(253\) 75468.9 + 94635.0i 0.0741253 + 0.0929502i
\(254\) −1.83048e6 1.69844e6i −1.78025 1.65183i
\(255\) −1.61753e6 243803.i −1.55776 0.234795i
\(256\) −813274. + 754608.i −0.775599 + 0.719650i
\(257\) −898663. + 612698.i −0.848719 + 0.578647i −0.907704 0.419612i \(-0.862166\pi\)
0.0589846 + 0.998259i \(0.481214\pi\)
\(258\) −123395. 540629.i −0.115411 0.505650i
\(259\) −1.68425e6 + 66651.8i −1.56011 + 0.0617394i
\(260\) −140903. + 617337.i −0.129267 + 0.566356i
\(261\) 128200. + 326647.i 0.116489 + 0.296810i
\(262\) 73518.9 + 981042.i 0.0661677 + 0.882946i
\(263\) −364276. 630944.i −0.324744 0.562473i 0.656717 0.754137i \(-0.271945\pi\)
−0.981460 + 0.191665i \(0.938611\pi\)
\(264\) 2308.82 3999.00i 0.00203883 0.00353136i
\(265\) 766584. + 369167.i 0.670571 + 0.322930i
\(266\) 1.77423e6 339661.i 1.53747 0.294335i
\(267\) −2.51771e6 + 1.21247e6i −2.16137 + 1.04086i
\(268\) 120287. 1.60512e6i 0.102301 1.36512i
\(269\) −765262. + 236052.i −0.644807 + 0.198897i −0.599875 0.800094i \(-0.704783\pi\)
−0.0449314 + 0.998990i \(0.514307\pi\)
\(270\) −744414. + 229621.i −0.621448 + 0.191691i
\(271\) 29938.8 399505.i 0.0247634 0.330445i −0.971039 0.238920i \(-0.923207\pi\)
0.995803 0.0915254i \(-0.0291743\pi\)
\(272\) 1.44753e6 697096.i 1.18633 0.571308i
\(273\) −1.08088e6 926126.i −0.877747 0.752079i
\(274\) 749663. + 361019.i 0.603240 + 0.290505i
\(275\) 14046.2 24328.6i 0.0112002 0.0193993i
\(276\) 1.81475e6 + 3.14324e6i 1.43398 + 2.48373i
\(277\) 49894.2 + 665791.i 0.0390706 + 0.521361i 0.982064 + 0.188549i \(0.0603784\pi\)
−0.942993 + 0.332812i \(0.892003\pi\)
\(278\) 453259. + 1.15489e6i 0.351751 + 0.896246i
\(279\) −142830. + 625781.i −0.109853 + 0.481295i
\(280\) 11676.4 + 43204.5i 0.00890046 + 0.0329332i
\(281\) 366735. + 1.60677e6i 0.277068 + 1.21392i 0.901480 + 0.432820i \(0.142482\pi\)
−0.624412 + 0.781095i \(0.714661\pi\)
\(282\) 1.89242e6 1.29023e6i 1.41708 0.966151i
\(283\) 259015. 240331.i 0.192247 0.178379i −0.578176 0.815912i \(-0.696235\pi\)
0.770423 + 0.637533i \(0.220045\pi\)
\(284\) 1.12927e6 + 170210.i 0.830809 + 0.125224i
\(285\) −1.38099e6 1.28137e6i −1.00711 0.934465i
\(286\) 56232.9 + 70513.9i 0.0406514 + 0.0509753i
\(287\) 101669. + 885203.i 0.0728591 + 0.634363i
\(288\) 1.69350e6 2.12358e6i 1.20310 1.50864i
\(289\) −892735. + 134558.i −0.628750 + 0.0947688i
\(290\) 307432. + 209604.i 0.214662 + 0.146354i
\(291\) 1.07584e6 2.74120e6i 0.744759 1.89761i
\(292\) −546538. 168585.i −0.375114 0.115707i
\(293\) 1.38703e6 0.943880 0.471940 0.881631i \(-0.343554\pi\)
0.471940 + 0.881631i \(0.343554\pi\)
\(294\) 3.12891e6 + 699993.i 2.11118 + 0.472308i
\(295\) −1.09787e6 −0.734509
\(296\) −96021.1 29618.6i −0.0636997 0.0196488i
\(297\) −19955.8 + 50846.6i −0.0131274 + 0.0334481i
\(298\) −1.58253e6 1.07895e6i −1.03231 0.703817i
\(299\) 2.19947e6 331516.i 1.42279 0.214450i
\(300\) 525200. 658580.i 0.336916 0.422479i
\(301\) 355429. 125230.i 0.226119 0.0796694i
\(302\) −1.94829e6 2.44308e6i −1.22924 1.54142i
\(303\) 1.54080e6 + 1.42965e6i 0.964138 + 0.894589i
\(304\) 1.82964e6 + 275775.i 1.13549 + 0.171147i
\(305\) −840646. + 780005.i −0.517444 + 0.480118i
\(306\) −3.34316e6 + 2.27933e6i −2.04105 + 1.39156i
\(307\) 299312. + 1.31137e6i 0.181250 + 0.794108i 0.981036 + 0.193823i \(0.0620889\pi\)
−0.799786 + 0.600285i \(0.795054\pi\)
\(308\) −91752.5 39796.3i −0.0551114 0.0239037i
\(309\) −1.08490e6 + 4.75327e6i −0.646390 + 2.83202i
\(310\) 248658. + 633572.i 0.146960 + 0.374448i
\(311\) −70438.9 939941.i −0.0412963 0.551061i −0.979031 0.203710i \(-0.934700\pi\)
0.937735 0.347351i \(-0.112919\pi\)
\(312\) −42427.5 73486.6i −0.0246752 0.0427387i
\(313\) 1.16734e6 2.02189e6i 0.673497 1.16653i −0.303409 0.952860i \(-0.598125\pi\)
0.976906 0.213670i \(-0.0685417\pi\)
\(314\) −4.06156e6 1.95594e6i −2.32471 1.11952i
\(315\) −778233. 1.77330e6i −0.441909 1.00695i
\(316\) −2.27523e6 + 1.09569e6i −1.28176 + 0.617265i
\(317\) 19902.8 265584.i 0.0111241 0.148441i −0.988876 0.148743i \(-0.952477\pi\)
1.00000 0.000302302i \(9.62258e-5\pi\)
\(318\) 3.47242e6 1.07110e6i 1.92560 0.593967i
\(319\) 24930.3 7689.99i 0.0137168 0.00423106i
\(320\) 102626. 1.36945e6i 0.0560250 0.747602i
\(321\) 271905. 130943.i 0.147284 0.0709281i
\(322\) −4.02495e6 + 2.98396e6i −2.16332 + 1.60381i
\(323\) −2.41004e6 1.16061e6i −1.28534 0.618987i
\(324\) 441744. 765123.i 0.233780 0.404919i
\(325\) −258116. 447069.i −0.135552 0.234783i
\(326\) −231903. 3.09453e6i −0.120854 1.61269i
\(327\) −32838.3 83670.7i −0.0169829 0.0432717i
\(328\) −11820.0 + 51786.7i −0.00606641 + 0.0265787i
\(329\) 1.01782e6 + 1.17759e6i 0.518421 + 0.599799i
\(330\) 47145.5 + 206558.i 0.0238317 + 0.104414i
\(331\) −551559. + 376046.i −0.276708 + 0.188656i −0.693720 0.720245i \(-0.744030\pi\)
0.417012 + 0.908901i \(0.363077\pi\)
\(332\) 546601. 507172.i 0.272161 0.252528i
\(333\) 4.29950e6 + 648046.i 2.12475 + 0.320254i
\(334\) −2.59596e6 2.40870e6i −1.27330 1.18145i
\(335\) −1.44480e6 1.81173e6i −0.703391 0.882024i
\(336\) 2.78449e6 + 1.74126e6i 1.34554 + 0.841424i
\(337\) 936675. 1.17455e6i 0.449277 0.563375i −0.504685 0.863304i \(-0.668391\pi\)
0.953962 + 0.299928i \(0.0969628\pi\)
\(338\) −1.27589e6 + 192309.i −0.607465 + 0.0915607i
\(339\) 2.47186e6 + 1.68528e6i 1.16822 + 0.796478i
\(340\) −771640. + 1.96611e6i −0.362007 + 0.922379i
\(341\) 45602.6 + 14066.5i 0.0212375 + 0.00655090i
\(342\) −4.65990e6 −2.15433
\(343\) −229968. + 2.16672e6i −0.105544 + 0.994415i
\(344\) 22465.7 0.0102359
\(345\) 4.99306e6 + 1.54016e6i 2.25849 + 0.696653i
\(346\) 1.92733e6 4.91075e6i 0.865497 2.20525i
\(347\) 1.99470e6 + 1.35996e6i 0.889311 + 0.606322i 0.919443 0.393224i \(-0.128640\pi\)
−0.0301320 + 0.999546i \(0.509593\pi\)
\(348\) 773561. 116596.i 0.342410 0.0516100i
\(349\) −319626. + 400798.i −0.140468 + 0.176142i −0.847089 0.531451i \(-0.821647\pi\)
0.706621 + 0.707592i \(0.250219\pi\)
\(350\) 985940. + 616550.i 0.430210 + 0.269029i
\(351\) 625832. + 784768.i 0.271138 + 0.339996i
\(352\) −148035. 137357.i −0.0636809 0.0590872i
\(353\) 2.09064e6 + 315114.i 0.892984 + 0.134596i 0.579475 0.814990i \(-0.303258\pi\)
0.313508 + 0.949585i \(0.398496\pi\)
\(354\) −3.43721e6 + 3.18927e6i −1.45780 + 1.35264i
\(355\) 1.35843e6 926161.i 0.572092 0.390046i
\(356\) 802885. + 3.51767e6i 0.335760 + 1.47106i
\(357\) −3.10463e6 3.59197e6i −1.28926 1.49163i
\(358\) 35600.8 155977.i 0.0146809 0.0643211i
\(359\) −1.47777e6 3.76530e6i −0.605160 1.54192i −0.824254 0.566220i \(-0.808405\pi\)
0.219094 0.975704i \(-0.429690\pi\)
\(360\) −8627.45 115125.i −0.00350854 0.0468182i
\(361\) −302266. 523540.i −0.122074 0.211438i
\(362\) −2.21021e6 + 3.82820e6i −0.886467 + 1.53541i
\(363\) −3.47336e6 1.67268e6i −1.38351 0.666265i
\(364\) −1.47636e6 + 1.09452e6i −0.584036 + 0.432984i
\(365\) −741862. + 357262.i −0.291468 + 0.140364i
\(366\) −366010. + 4.88407e6i −0.142820 + 1.90581i
\(367\) 3.30802e6 1.02039e6i 1.28205 0.395459i 0.422428 0.906396i \(-0.361178\pi\)
0.859618 + 0.510938i \(0.170702\pi\)
\(368\) −4.90406e6 + 1.51270e6i −1.88771 + 0.582283i
\(369\) 171765. 2.29204e6i 0.0656702 0.876308i
\(370\) 4.15395e6 2.00044e6i 1.57745 0.759662i
\(371\) 992397. + 2.26130e6i 0.374326 + 0.852950i
\(372\) 1.28927e6 + 620879.i 0.483043 + 0.232621i
\(373\) −1.79880e6 + 3.11562e6i −0.669440 + 1.15950i 0.308621 + 0.951185i \(0.400133\pi\)
−0.978061 + 0.208319i \(0.933201\pi\)
\(374\) 150417. + 260530.i 0.0556056 + 0.0963117i
\(375\) −341283. 4.55410e6i −0.125325 1.67234i
\(376\) 33900.4 + 86376.8i 0.0123662 + 0.0315085i
\(377\) 106682. 467405.i 0.0386579 0.169372i
\(378\) −2.07432e6 899704.i −0.746699 0.323870i
\(379\) −19553.8 85671.0i −0.00699253 0.0306363i 0.971311 0.237812i \(-0.0764301\pi\)
−0.978304 + 0.207175i \(0.933573\pi\)
\(380\) −2.00977e6 + 1.37024e6i −0.713984 + 0.486786i
\(381\) −5.54051e6 + 5.14084e6i −1.95541 + 1.81435i
\(382\) 6.82204e6 + 1.02826e6i 2.39197 + 0.360532i
\(383\) −1.35842e6 1.26043e6i −0.473193 0.439059i 0.407175 0.913350i \(-0.366514\pi\)
−0.880368 + 0.474291i \(0.842704\pi\)
\(384\) 237032. + 297229.i 0.0820313 + 0.102864i
\(385\) −135799. + 47846.5i −0.0466922 + 0.0164512i
\(386\) −1.93167e6 + 2.42223e6i −0.659879 + 0.827462i
\(387\) −961249. + 144885.i −0.326256 + 0.0491752i
\(388\) −3.14153e6 2.14186e6i −1.05940 0.722289i
\(389\) 25863.4 65898.8i 0.00866585 0.0220802i −0.926475 0.376355i \(-0.877177\pi\)
0.935141 + 0.354275i \(0.115272\pi\)
\(390\) 3.72040e6 + 1.14759e6i 1.23859 + 0.382055i
\(391\) 7.41927e6 2.45425
\(392\) −55854.9 + 117273.i −0.0183589 + 0.0385463i
\(393\) 2.97775e6 0.972540
\(394\) −441898. 136308.i −0.143411 0.0442364i
\(395\) −1.32822e6 + 3.38426e6i −0.428330 + 1.09137i
\(396\) 213160. + 145330.i 0.0683073 + 0.0465711i
\(397\) −3.29686e6 + 496921.i −1.04984 + 0.158238i −0.651229 0.758881i \(-0.725746\pi\)
−0.398613 + 0.917119i \(0.630508\pi\)
\(398\) −1.78131e6 + 2.23369e6i −0.563678 + 0.706830i
\(399\) −623895. 5.43208e6i −0.196191 1.70818i
\(400\) 742626. + 931224.i 0.232071 + 0.291007i
\(401\) 2.11976e6 + 1.96685e6i 0.658302 + 0.610815i 0.936902 0.349592i \(-0.113680\pi\)
−0.278600 + 0.960407i \(0.589870\pi\)
\(402\) −9.78635e6 1.47505e6i −3.02034 0.455243i
\(403\) 642861. 596488.i 0.197176 0.182953i
\(404\) 2.24234e6 1.52880e6i 0.683516 0.466014i
\(405\) −283027. 1.24002e6i −0.0857413 0.375657i
\(406\) 281754. + 1.04254e6i 0.0848312 + 0.313889i
\(407\) 71935.5 315170.i 0.0215257 0.0943102i
\(408\) −103405. 263472.i −0.0307533 0.0783581i
\(409\) −129885. 1.73320e6i −0.0383930 0.512319i −0.982938 0.183937i \(-0.941116\pi\)
0.944545 0.328382i \(-0.106503\pi\)
\(410\) −1.21861e6 2.11069e6i −0.358018 0.620105i
\(411\) 1.25925e6 2.18108e6i 0.367712 0.636895i
\(412\) 5.67173e6 + 2.73136e6i 1.64616 + 0.792749i
\(413\) −2.41971e6 2.07328e6i −0.698054 0.598113i
\(414\) 1.16448e7 5.60786e6i 3.33913 1.60804i
\(415\) 80221.0 1.07048e6i 0.0228648 0.305110i
\(416\) −3.54610e6 + 1.09383e6i −1.00466 + 0.309896i
\(417\) 3.58837e6 1.10687e6i 1.01055 0.311713i
\(418\) −25891.0 + 345491.i −0.00724783 + 0.0967155i
\(419\) −3.62303e6 + 1.74476e6i −1.00818 + 0.485512i −0.863705 0.503997i \(-0.831862\pi\)
−0.144471 + 0.989509i \(0.546148\pi\)
\(420\) −4.24031e6 + 811771.i −1.17294 + 0.224548i
\(421\) 2.75295e6 + 1.32575e6i 0.756996 + 0.364550i 0.772238 0.635334i \(-0.219137\pi\)
−0.0152416 + 0.999884i \(0.504852\pi\)
\(422\) 2.67280e6 4.62943e6i 0.730611 1.26545i
\(423\) −2.00756e6 3.47720e6i −0.545530 0.944885i
\(424\) 11001.7 + 146807.i 0.00297197 + 0.0396581i
\(425\) −629084. 1.60288e6i −0.168941 0.430456i
\(426\) 1.56251e6 6.84578e6i 0.417155 1.82768i
\(427\) −3.32579e6 + 131613.i −0.882724 + 0.0349326i
\(428\) −86709.0 379897.i −0.0228799 0.100244i
\(429\) 225555. 153781.i 0.0591710 0.0403421i
\(430\) −755621. + 701113.i −0.197075 + 0.182859i
\(431\) 1.39610e6 + 210428.i 0.362011 + 0.0545644i 0.327530 0.944841i \(-0.393784\pi\)
0.0344817 + 0.999405i \(0.489022\pi\)
\(432\) −1.69769e6 1.57523e6i −0.437673 0.406102i
\(433\) 1.33773e6 + 1.67747e6i 0.342886 + 0.429966i 0.923136 0.384473i \(-0.125617\pi\)
−0.580250 + 0.814438i \(0.697045\pi\)
\(434\) −648426. + 1.86597e6i −0.165248 + 0.475533i
\(435\) 702196. 880526.i 0.177924 0.223110i
\(436\) −114760. + 17297.3i −0.0289118 + 0.00435775i
\(437\) 7.05980e6 + 4.81329e6i 1.76843 + 1.20570i
\(438\) −1.28479e6 + 3.27358e6i −0.319997 + 0.815339i
\(439\) 2.15740e6 + 665470.i 0.534280 + 0.164804i 0.550143 0.835071i \(-0.314573\pi\)
−0.0158625 + 0.999874i \(0.505049\pi\)
\(440\) −8583.47 −0.00211364
\(441\) 1.63357e6 5.37801e6i 0.399983 1.31682i
\(442\) 5.52820e6 1.34595
\(443\) 2.96073e6 + 913265.i 0.716786 + 0.221099i 0.631632 0.775268i \(-0.282385\pi\)
0.0851545 + 0.996368i \(0.472862\pi\)
\(444\) 3.54143e6 9.02342e6i 0.852553 2.17227i
\(445\) 4.29185e6 + 2.92613e6i 1.02741 + 0.700478i
\(446\) 544168. 82020.1i 0.129538 0.0195246i
\(447\) −3.61460e6 + 4.53256e6i −0.855640 + 1.07294i
\(448\) 2.81232e6 2.82446e6i 0.662019 0.664876i
\(449\) −3.51963e6 4.41348e6i −0.823914 1.03315i −0.998820 0.0485699i \(-0.984534\pi\)
0.174906 0.984585i \(-0.444038\pi\)
\(450\) −2.19891e6 2.04029e6i −0.511890 0.474964i
\(451\) −168981. 25469.7i −0.0391197 0.00589635i
\(452\) 2.83164e6 2.62738e6i 0.651917 0.604890i
\(453\) −7.81475e6 + 5.32801e6i −1.78924 + 1.21989i
\(454\) 1.00006e6 + 4.38153e6i 0.227711 + 0.997668i
\(455\) −486293. + 2.60076e6i −0.110121 + 0.588941i
\(456\) 72533.7 317791.i 0.0163353 0.0715697i
\(457\) −49183.6 125318.i −0.0110162 0.0280687i 0.925260 0.379334i \(-0.123847\pi\)
−0.936276 + 0.351265i \(0.885752\pi\)
\(458\) −290752. 3.87982e6i −0.0647678 0.864267i
\(459\) 1.67403e6 + 2.89951e6i 0.370879 + 0.642382i
\(460\) 3.37333e6 5.84278e6i 0.743300 1.28743i
\(461\) 4.81002e6 + 2.31638e6i 1.05413 + 0.507642i 0.878960 0.476896i \(-0.158238\pi\)
0.175170 + 0.984538i \(0.443952\pi\)
\(462\) −286166. + 544286.i −0.0623753 + 0.118637i
\(463\) 4.77751e6 2.30073e6i 1.03574 0.498785i 0.162821 0.986656i \(-0.447941\pi\)
0.872916 + 0.487871i \(0.162226\pi\)
\(464\) −82663.4 + 1.10307e6i −0.0178245 + 0.237852i
\(465\) 1.96858e6 607228.i 0.422203 0.130232i
\(466\) −8.47440e6 + 2.61400e6i −1.80777 + 0.557624i
\(467\) −299844. + 4.00114e6i −0.0636213 + 0.848967i 0.870536 + 0.492105i \(0.163772\pi\)
−0.934157 + 0.356862i \(0.883847\pi\)
\(468\) 4.27136e6 2.05698e6i 0.901471 0.434125i
\(469\) 237010. 6.72149e6i 0.0497546 1.41102i
\(470\) −3.83588e6 1.84726e6i −0.800977 0.385730i
\(471\) −6.82241e6 + 1.18168e7i −1.41705 + 2.45441i
\(472\) −94980.7 164511.i −0.0196237 0.0339892i
\(473\) 5401.14 + 72073.2i 0.00111002 + 0.0148122i
\(474\) 5.67270e6 + 1.44538e7i 1.15970 + 2.95486i
\(475\) 441272. 1.93334e6i 0.0897372 0.393164i
\(476\) −5.41359e6 + 2.87610e6i −1.09514 + 0.581816i
\(477\) −1.41751e6 6.21053e6i −0.285253 1.24978i
\(478\) −3.35872e6 + 2.28994e6i −0.672363 + 0.458409i
\(479\) −1.35993e6 + 1.26183e6i −0.270818 + 0.251282i −0.803877 0.594796i \(-0.797233\pi\)
0.533059 + 0.846078i \(0.321042\pi\)
\(480\) −8.62020e6 1.29929e6i −1.70771 0.257396i
\(481\) −4.35475e6 4.04062e6i −0.858225 0.796316i
\(482\) 2.70282e6 + 3.38923e6i 0.529907 + 0.664482i
\(483\) 8.09620e6 + 1.28237e7i 1.57911 + 2.50118i
\(484\) −3.10352e6 + 3.89170e6i −0.602201 + 0.755137i
\(485\) −5.41270e6 + 815833.i −1.04486 + 0.157488i
\(486\) −7.98995e6 5.44746e6i −1.53445 1.04617i
\(487\) −1.73194e6 + 4.41291e6i −0.330910 + 0.843145i 0.664486 + 0.747301i \(0.268650\pi\)
−0.995396 + 0.0958447i \(0.969445\pi\)
\(488\) −189607. 58486.1i −0.0360417 0.0111174i
\(489\) −9.39282e6 −1.77633
\(490\) −1.78123e6 5.68753e6i −0.335142 1.07012i
\(491\) −4.72267e6 −0.884065 −0.442032 0.896999i \(-0.645742\pi\)
−0.442032 + 0.896999i \(0.645742\pi\)
\(492\) −4.89651e6 1.51037e6i −0.911956 0.281301i
\(493\) 584232. 1.48860e6i 0.108260 0.275842i
\(494\) 5.26036e6 + 3.58645e6i 0.969835 + 0.661222i
\(495\) 367264. 55356.1i 0.0673698 0.0101544i
\(496\) −1.26156e6 + 1.58195e6i −0.230252 + 0.288727i
\(497\) 4.74299e6 + 524068.i 0.861314 + 0.0951692i
\(498\) −2.85852e6 3.58447e6i −0.516497 0.647667i
\(499\) −1.95031e6 1.80962e6i −0.350633 0.325339i 0.485118 0.874449i \(-0.338777\pi\)
−0.835751 + 0.549109i \(0.814967\pi\)
\(500\) −5.83078e6 878849.i −1.04304 0.157213i
\(501\) −7.85748e6 + 7.29068e6i −1.39859 + 1.29770i
\(502\) −2.90925e6 + 1.98349e6i −0.515255 + 0.351295i
\(503\) −1.54829e6 6.78349e6i −0.272855 1.19545i −0.906626 0.421934i \(-0.861351\pi\)
0.633772 0.773520i \(-0.281506\pi\)
\(504\) 198394. 270029.i 0.0347898 0.0473515i
\(505\) 869409. 3.80913e6i 0.151704 0.664657i
\(506\) −351074. 894522.i −0.0609568 0.155315i
\(507\) 291858. + 3.89458e6i 0.0504257 + 0.672885i
\(508\) 4.87945e6 + 8.45145e6i 0.838903 + 1.45302i
\(509\) 4.14440e6 7.17831e6i 0.709034 1.22808i −0.256181 0.966629i \(-0.582464\pi\)
0.965216 0.261455i \(-0.0842022\pi\)
\(510\) 1.17004e7 + 5.63463e6i 1.99194 + 0.959268i
\(511\) −2.30974e6 613565.i −0.391300 0.103946i
\(512\) 7.47935e6 3.60187e6i 1.26092 0.607229i
\(513\) −288148. + 3.84506e6i −0.0483417 + 0.645075i
\(514\) 8.25119e6 2.54515e6i 1.37755 0.424919i
\(515\) 8.66016e6 2.67131e6i 1.43882 0.443819i
\(516\) −161955. + 2.16113e6i −0.0267774 + 0.357320i
\(517\) −268958. + 129524.i −0.0442546 + 0.0213119i
\(518\) 1.29330e7 + 3.43557e6i 2.11776 + 0.562567i
\(519\) −1.43864e7 6.92813e6i −2.34441 1.12901i
\(520\) −78866.0 + 136600.i −0.0127903 + 0.0221535i
\(521\) 1.19117e6 + 2.06317e6i 0.192256 + 0.332998i 0.945998 0.324174i \(-0.105086\pi\)
−0.753741 + 0.657171i \(0.771753\pi\)
\(522\) −208183. 2.77801e6i −0.0334402 0.446229i
\(523\) 1.00484e6 + 2.56029e6i 0.160636 + 0.409293i 0.988418 0.151756i \(-0.0484929\pi\)
−0.827782 + 0.561050i \(0.810398\pi\)
\(524\) 855550. 3.74841e6i 0.136119 0.596374i
\(525\) 2.08398e6 2.83645e6i 0.329985 0.449135i
\(526\) 1.28704e6 + 5.63890e6i 0.202828 + 0.888648i
\(527\) 2.41687e6 1.64780e6i 0.379077 0.258450i
\(528\) −461719. + 428413.i −0.0720764 + 0.0668771i
\(529\) −1.70701e7 2.57290e6i −2.65214 0.399745i
\(530\) −4.95161e6 4.59442e6i −0.765696 0.710462i
\(531\) 5.12493e6 + 6.42646e6i 0.788772 + 0.989089i
\(532\) −7.01718e6 775350.i −1.07494 0.118773i
\(533\) −1.95795e6 + 2.45519e6i −0.298527 + 0.374340i
\(534\) 2.19372e7 3.30649e6i 3.32910 0.501781i
\(535\) −463506. 316013.i −0.0700118 0.0477332i
\(536\) 146484. 373236.i 0.0220231 0.0561140i
\(537\) −462741. 142737.i −0.0692472 0.0213599i
\(538\) 6.35782e6 0.947005
\(539\) −389656. 150996.i −0.0577710 0.0223868i
\(540\) 3.04454e6 0.449301
\(541\) −7.55963e6 2.33184e6i −1.11047 0.342535i −0.315344 0.948977i \(-0.602120\pi\)
−0.795128 + 0.606442i \(0.792596\pi\)
\(542\) −1.16198e6 + 2.96068e6i −0.169903 + 0.432905i
\(543\) 1.10549e7 + 7.53710e6i 1.60900 + 1.09700i
\(544\) −1.22398e7 + 1.84486e6i −1.77328 + 0.267280i
\(545\) −104173. + 130629.i −0.0150232 + 0.0188385i
\(546\) 6.03260e6 + 9.55509e6i 0.866009 + 1.37168i
\(547\) 267667. + 335644.i 0.0382496 + 0.0479634i 0.800588 0.599215i \(-0.204520\pi\)
−0.762339 + 0.647178i \(0.775949\pi\)
\(548\) −2.38376e6 2.21181e6i −0.339087 0.314627i
\(549\) 8.48998e6 + 1.27966e6i 1.20220 + 0.181202i
\(550\) −163487. + 151694.i −0.0230450 + 0.0213826i
\(551\) 1.52166e6 1.03745e6i 0.213520 0.145576i
\(552\) 201181. + 881432.i 0.0281021 + 0.123124i
\(553\) −9.31841e6 + 4.95062e6i −1.29577 + 0.688409i
\(554\) 1.17947e6 5.16759e6i 0.163272 0.715342i
\(555\) −5.09841e6 1.29905e7i −0.702591 1.79017i
\(556\) −362339. 4.83508e6i −0.0497082 0.663310i
\(557\) −2.75456e6 4.77103e6i −0.376196 0.651590i 0.614310 0.789065i \(-0.289435\pi\)
−0.990505 + 0.137475i \(0.956101\pi\)
\(558\) 2.54789e6 4.41308e6i 0.346414 0.600007i
\(559\) 1.19662e6 + 576262.i 0.161967 + 0.0779993i
\(560\) 215124. 6.10084e6i 0.0289881 0.822090i
\(561\) 820394. 395081.i 0.110056 0.0530004i
\(562\) 977775. 1.30475e7i 0.130586 1.74255i
\(563\) 1.36121e7 4.19879e6i 1.80990 0.558281i 0.810288 0.586032i \(-0.199311\pi\)
0.999615 + 0.0277509i \(0.00883452\pi\)
\(564\) −8.55357e6 + 2.63843e6i −1.13227 + 0.349259i
\(565\) 415581. 5.54554e6i 0.0547690 0.730841i
\(566\) −2.52733e6 + 1.21710e6i −0.331605 + 0.159692i
\(567\) 1.71793e6 3.26749e6i 0.224413 0.426832i
\(568\) 256303. + 123429.i 0.0333337 + 0.0160527i
\(569\) −1.73000e6 + 2.99646e6i −0.224010 + 0.387996i −0.956022 0.293295i \(-0.905248\pi\)
0.732012 + 0.681291i \(0.238581\pi\)
\(570\) 7.47803e6 + 1.29523e7i 0.964052 + 1.66979i
\(571\) −536266. 7.15597e6i −0.0688319 0.918499i −0.919574 0.392916i \(-0.871466\pi\)
0.850743 0.525583i \(-0.176153\pi\)
\(572\) −128775. 328113.i −0.0164566 0.0419308i
\(573\) 4.64674e6 2.03587e7i 0.591237 2.59038i
\(574\) 1.30013e6 6.95325e6i 0.164705 0.880862i
\(575\) 1.22392e6 + 5.36235e6i 0.154378 + 0.676372i
\(576\) −8.49519e6 + 5.79193e6i −1.06688 + 0.727389i
\(577\) −4.71146e6 + 4.37160e6i −0.589136 + 0.546639i −0.917410 0.397944i \(-0.869724\pi\)
0.328273 + 0.944583i \(0.393533\pi\)
\(578\) 7.08735e6 + 1.06825e6i 0.882398 + 0.133000i
\(579\) 6.87421e6 + 6.37834e6i 0.852170 + 0.790699i
\(580\) −906659. 1.13691e6i −0.111911 0.140332i
\(581\) 2.19835e6 2.20783e6i 0.270182 0.271348i
\(582\) −1.45761e7 + 1.82778e7i −1.78375 + 2.23675i
\(583\) −468332. + 70589.7i −0.0570667 + 0.00860142i
\(584\) −117715. 80256.8i −0.0142824 0.00973755i
\(585\) 2.49351e6 6.35336e6i 0.301246 0.767563i
\(586\) −1.05223e7 3.24570e6i −1.26581 0.390449i
\(587\) −946447. −0.113371 −0.0566854 0.998392i \(-0.518053\pi\)
−0.0566854 + 0.998392i \(0.518053\pi\)
\(588\) −1.08786e7 6.21848e6i −1.29757 0.741722i
\(589\) 3.36879e6 0.400116
\(590\) 8.32871e6 + 2.56907e6i 0.985026 + 0.303840i
\(591\) −511378. + 1.30297e6i −0.0602245 + 0.153450i
\(592\) 1.13248e7 + 7.72113e6i 1.32809 + 0.905475i
\(593\) −7.30622e6 + 1.10124e6i −0.853211 + 0.128601i −0.561064 0.827773i \(-0.689608\pi\)
−0.292147 + 0.956373i \(0.594370\pi\)
\(594\) 270372. 339036.i 0.0314410 0.0394257i
\(595\) −2.89686e6 + 8.33629e6i −0.335456 + 0.965341i
\(596\) 4.66709e6 + 5.85234e6i 0.538183 + 0.674860i
\(597\) 6.33913e6 + 5.88185e6i 0.727937 + 0.675426i
\(598\) −1.74614e7 2.63188e6i −1.99676 0.300963i
\(599\) 1.10544e7 1.02570e7i 1.25883 1.16802i 0.280753 0.959780i \(-0.409416\pi\)
0.978077 0.208243i \(-0.0667745\pi\)
\(600\) 173369. 118201.i 0.0196604 0.0134042i
\(601\) −657081. 2.87886e6i −0.0742049 0.325113i 0.924178 0.381962i \(-0.124752\pi\)
−0.998383 + 0.0568495i \(0.981894\pi\)
\(602\) −2.98941e6 + 118302.i −0.336197 + 0.0133045i
\(603\) −3.86062e6 + 1.69145e7i −0.432378 + 1.89437i
\(604\) 4.46163e6 + 1.13681e7i 0.497624 + 1.26793i
\(605\) 535523. + 7.14605e6i 0.0594825 + 0.793739i
\(606\) −8.34339e6 1.44512e7i −0.922914 1.59853i
\(607\) 1.26023e6 2.18278e6i 0.138828 0.240457i −0.788225 0.615387i \(-0.789000\pi\)
0.927053 + 0.374930i \(0.122333\pi\)
\(608\) −1.28437e7 6.18518e6i −1.40906 0.678568i
\(609\) 3.21047e6 614617.i 0.350773 0.0671524i
\(610\) 8.20257e6 3.95015e6i 0.892535 0.429822i
\(611\) −409947. + 5.47036e6i −0.0444247 + 0.592807i
\(612\) 1.51108e7 4.66105e6i 1.63083 0.503043i
\(613\) 953028. 293970.i 0.102436 0.0315974i −0.243113 0.969998i \(-0.578169\pi\)
0.345550 + 0.938400i \(0.387692\pi\)
\(614\) 798013. 1.06487e7i 0.0854258 1.13993i
\(615\) −6.64644e6 + 3.20076e6i −0.708600 + 0.341244i
\(616\) −18918.0 16209.5i −0.00200874 0.00172114i
\(617\) 9.09258e6 + 4.37876e6i 0.961556 + 0.463061i 0.847723 0.530439i \(-0.177973\pi\)
0.113833 + 0.993500i \(0.463687\pi\)
\(618\) 1.93531e7 3.35206e7i 2.03836 3.53054i
\(619\) −1.70108e6 2.94635e6i −0.178442 0.309071i 0.762905 0.646511i \(-0.223772\pi\)
−0.941347 + 0.337440i \(0.890439\pi\)
\(620\) −198779. 2.65253e6i −0.0207679 0.277128i
\(621\) −3.90720e6 9.95538e6i −0.406571 1.03593i
\(622\) −1.66513e6 + 7.29543e6i −0.172573 + 0.756093i
\(623\) 3.93338e6 + 1.45542e7i 0.406019 + 1.50234i
\(624\) 2.57556e6 + 1.12842e7i 0.264795 + 1.16014i
\(625\) −4.09678e6 + 2.79314e6i −0.419511 + 0.286017i
\(626\) −1.35870e7 + 1.26069e7i −1.38576 + 1.28579i
\(627\) 1.03696e6 + 156296.i 0.105340 + 0.0158774i
\(628\) 1.29148e7 + 1.19832e7i 1.30674 + 1.21248i
\(629\) −1.23545e7 1.54920e7i −1.24508 1.56128i
\(630\) 1.75425e6 + 1.52737e7i 0.176092 + 1.53318i
\(631\) 2.42408e6 3.03970e6i 0.242367 0.303919i −0.645738 0.763559i \(-0.723450\pi\)
0.888105 + 0.459640i \(0.152022\pi\)
\(632\) −622025. + 93755.1i −0.0619462 + 0.00933689i
\(633\) −1.33687e7 9.11460e6i −1.32611 0.904125i
\(634\) −772464. + 1.96821e6i −0.0763229 + 0.194468i
\(635\) 1.34252e7 + 4.14113e6i 1.32126 + 0.407553i
\(636\) −1.42017e7 −1.39219
\(637\) −5.98320e6 + 4.81374e6i −0.584232 + 0.470039i
\(638\) −207122. −0.0201453
\(639\) −1.17625e7 3.62827e6i −1.13959 0.351517i
\(640\) 258178. 657826.i 0.0249155 0.0634836i
\(641\) −8.20279e6 5.59256e6i −0.788527 0.537608i 0.100786 0.994908i \(-0.467864\pi\)
−0.889313 + 0.457300i \(0.848817\pi\)
\(642\) −2.36914e6 + 357091.i −0.226858 + 0.0341933i
\(643\) −5.76522e6 + 7.22935e6i −0.549906 + 0.689560i −0.976656 0.214810i \(-0.931087\pi\)
0.426750 + 0.904369i \(0.359658\pi\)
\(644\) 1.84686e7 6.50712e6i 1.75477 0.618264i
\(645\) 1.94529e6 + 2.43931e6i 0.184113 + 0.230870i
\(646\) 1.55672e7 + 1.44442e7i 1.46767 + 1.36180i
\(647\) 1.47708e7 + 2.22634e6i 1.38721 + 0.209089i 0.799833 0.600222i \(-0.204921\pi\)
0.587380 + 0.809311i \(0.300159\pi\)
\(648\) 161326. 149689.i 0.0150927 0.0140040i
\(649\) 504941. 344263.i 0.0470575 0.0320832i
\(650\) 911962. + 3.99556e6i 0.0846629 + 0.370932i
\(651\) 5.48548e6 + 2.37925e6i 0.507297 + 0.220033i
\(652\) −2.69869e6 + 1.18237e7i −0.248619 + 1.08927i
\(653\) 5.00388e6 + 1.27497e7i 0.459223 + 1.17008i 0.953665 + 0.300870i \(0.0972772\pi\)
−0.494442 + 0.869211i \(0.664628\pi\)
\(654\) 53326.1 + 711587.i 0.00487523 + 0.0650555i
\(655\) −2.76759e6 4.79360e6i −0.252057 0.436575i
\(656\) 3.62275e6 6.27479e6i 0.328684 0.569298i
\(657\) 5.55430e6 + 2.67481e6i 0.502014 + 0.241757i
\(658\) −4.96581e6 1.13152e7i −0.447122 1.01882i
\(659\) 5.87343e6 2.82849e6i 0.526839 0.253712i −0.151505 0.988456i \(-0.548412\pi\)
0.678344 + 0.734744i \(0.262698\pi\)
\(660\) 61877.9 825703.i 0.00552937 0.0737843i
\(661\) 3.54218e6 1.09262e6i 0.315331 0.0972667i −0.133050 0.991109i \(-0.542477\pi\)
0.448381 + 0.893843i \(0.352001\pi\)
\(662\) 5.06421e6 1.56210e6i 0.449124 0.138536i
\(663\) 1.25045e6 1.66860e7i 0.110479 1.47424i
\(664\) 167346. 80589.6i 0.0147298 0.00709347i
\(665\) −8.16472e6 + 6.05304e6i −0.715957 + 0.530786i
\(666\) −3.11005e7 1.49772e7i −2.71695 1.30842i
\(667\) −2.55405e6 + 4.42375e6i −0.222288 + 0.385014i
\(668\) 6.91997e6 + 1.19857e7i 0.600017 + 1.03926i
\(669\) −124478. 1.66104e6i −0.0107529 0.143488i
\(670\) 6.72109e6 + 1.71250e7i 0.578432 + 1.47382i
\(671\) 142047. 622348.i 0.0121794 0.0533614i
\(672\) −1.65453e7 1.91425e7i −1.41336 1.63521i
\(673\) −1.70181e6 7.45611e6i −0.144835 0.634563i −0.994273 0.106874i \(-0.965916\pi\)
0.849438 0.527689i \(-0.176941\pi\)
\(674\) −9.85432e6 + 6.71856e6i −0.835558 + 0.569674i
\(675\) −1.81949e6 + 1.68824e6i −0.153706 + 0.142618i
\(676\) 4.98637e6 + 751574.i 0.419679 + 0.0632565i
\(677\) 1.18836e7 + 1.10264e7i 0.996497 + 0.924614i 0.997154 0.0753856i \(-0.0240188\pi\)
−0.000657376 1.00000i \(0.500209\pi\)
\(678\) −1.48084e7 1.85692e7i −1.23718 1.55138i
\(679\) −1.34703e7 8.42353e6i −1.12125 0.701164i
\(680\) −328031. + 411338.i −0.0272046 + 0.0341135i
\(681\) 1.34512e7 2.02744e6i 1.11146 0.167525i
\(682\) −313035. 213424.i −0.0257710 0.0175704i
\(683\) 1.01160e6 2.57752e6i 0.0829772 0.211422i −0.883363 0.468689i \(-0.844727\pi\)
0.966341 + 0.257266i \(0.0828218\pi\)
\(684\) 1.74025e7 + 5.36796e6i 1.42224 + 0.438702i
\(685\) −4.68149e6 −0.381204
\(686\) 6.81480e6 1.58991e7i 0.552895 1.28992i
\(687\) −1.17764e7 −0.951965
\(688\) −2.92824e6 903243.i −0.235850 0.0727501i
\(689\) −3.17971e6 + 8.10176e6i −0.255176 + 0.650177i
\(690\) −3.42744e7 2.33679e7i −2.74061 1.86852i
\(691\) 5.87142e6 884975.i 0.467787 0.0705076i 0.0890807 0.996024i \(-0.471607\pi\)
0.378706 + 0.925517i \(0.376369\pi\)
\(692\) −1.28546e7 + 1.61191e7i −1.02045 + 1.27961i
\(693\) 913987. + 571555.i 0.0722948 + 0.0452090i
\(694\) −1.19499e7 1.49846e7i −0.941811 1.18099i
\(695\) −5.11695e6 4.74783e6i −0.401836 0.372849i
\(696\) 192692. + 29043.7i 0.0150779 + 0.00227263i
\(697\) −7.67843e6 + 7.12454e6i −0.598674 + 0.555488i
\(698\) 3.36263e6 2.29260e6i 0.261241 0.178111i
\(699\) 5.97312e6 + 2.61699e7i 0.462390 + 2.02586i
\(700\) −2.97178e6 3.43827e6i −0.229230 0.265213i
\(701\) 2.34125e6 1.02577e7i 0.179951 0.788416i −0.801700 0.597727i \(-0.796071\pi\)
0.981651 0.190689i \(-0.0610721\pi\)
\(702\) −2.91131e6 7.41789e6i −0.222969 0.568117i
\(703\) −1.70536e6 2.27564e7i −0.130145 1.73667i
\(704\) 382220. + 662025.i 0.0290658 + 0.0503434i
\(705\) −6.44332e6 + 1.11602e7i −0.488244 + 0.845664i
\(706\) −1.51227e7 7.28271e6i −1.14187 0.549897i
\(707\) 9.10954e6 6.75349e6i 0.685406 0.508136i
\(708\) 1.65102e7 7.95090e6i 1.23785 0.596119i
\(709\) −1.76884e6 + 2.36035e7i −0.132152 + 1.76344i 0.399739 + 0.916629i \(0.369101\pi\)
−0.531891 + 0.846813i \(0.678518\pi\)
\(710\) −1.24726e7 + 3.84728e6i −0.928562 + 0.286423i
\(711\) 2.60101e7 8.02306e6i 1.92961 0.595204i
\(712\) −67165.7 + 896264.i −0.00496533 + 0.0662577i
\(713\) −8.41843e6 + 4.05410e6i −0.620165 + 0.298656i
\(714\) 1.51470e7 + 3.45144e7i 1.11194 + 2.53370i
\(715\) −457192. 220172.i −0.0334452 0.0161064i
\(716\) −312629. + 541490.i −0.0227901 + 0.0394737i
\(717\) 6.15210e6 + 1.06558e7i 0.446916 + 0.774081i
\(718\) 2.39975e6 + 3.20224e7i 0.173722 + 2.31816i
\(719\) −54802.4 139634.i −0.00395346 0.0100733i 0.928883 0.370372i \(-0.120770\pi\)
−0.932837 + 0.360299i \(0.882675\pi\)
\(720\) −3.50413e6 + 1.53526e7i −0.251912 + 1.10370i
\(721\) 2.41316e7 + 1.04667e7i 1.72882 + 0.749848i
\(722\) 1.06795e6 + 4.67901e6i 0.0762446 + 0.334049i
\(723\) 1.08412e7 7.39142e6i 0.771317 0.525875i
\(724\) 1.26640e7 1.17504e7i 0.897890 0.833120i
\(725\) 1.17228e6 + 176693.i 0.0828296 + 0.0124846i
\(726\) 2.24355e7 + 2.08171e7i 1.57977 + 1.46582i
\(727\) −1.18681e6 1.48821e6i −0.0832808 0.104431i 0.738445 0.674313i \(-0.235560\pi\)
−0.821726 + 0.569882i \(0.806989\pi\)
\(728\) −431783. + 152132.i −0.0301952 + 0.0106388i
\(729\) −1.39354e7 + 1.74744e7i −0.971180 + 1.21782i
\(730\) 6.46393e6 974281.i 0.448941 0.0676670i
\(731\) 3.66031e6 + 2.49556e6i 0.253352 + 0.172733i
\(732\) 6.99306e6 1.78180e7i 0.482380 1.22908i
\(733\) −7.95802e6 2.45472e6i −0.547073 0.168750i 0.00888447 0.999961i \(-0.497172\pi\)
−0.555957 + 0.831211i \(0.687648\pi\)
\(734\) −2.74832e7 −1.88290
\(735\) −1.75698e7 + 4.08988e6i −1.19964 + 0.279249i
\(736\) 3.95391e7 2.69049
\(737\) 1.23261e6 + 380210.i 0.0835905 + 0.0257843i
\(738\) −6.66651e6 + 1.69860e7i −0.450565 + 1.14802i
\(739\) −2.22223e7 1.51509e7i −1.49685 1.02053i −0.987082 0.160218i \(-0.948780\pi\)
−0.509764 0.860314i \(-0.670267\pi\)
\(740\) −1.78174e7 + 2.68554e6i −1.19609 + 0.180282i
\(741\) 1.20150e7 1.50664e7i 0.803857 1.00800i
\(742\) −2.23701e6 1.94770e7i −0.149162 1.29871i
\(743\) 147531. + 184998.i 0.00980416 + 0.0122940i 0.786709 0.617324i \(-0.211783\pi\)
−0.776905 + 0.629618i \(0.783212\pi\)
\(744\) 261299. + 242450.i 0.0173064 + 0.0160580i
\(745\) 1.06560e7 + 1.60614e6i 0.703403 + 0.106021i
\(746\) 2.09368e7 1.94265e7i 1.37741 1.27805i
\(747\) −6.64056e6 + 4.52745e6i −0.435415 + 0.296861i
\(748\) −261619. 1.14623e6i −0.0170968 0.0749061i
\(749\) −424793. 1.57180e6i −0.0276677 0.102375i
\(750\) −8.06773e6 + 3.53470e7i −0.523719 + 2.29456i
\(751\) −5.72394e6 1.45844e7i −0.370335 0.943599i −0.987621 0.156860i \(-0.949863\pi\)
0.617286 0.786739i \(-0.288232\pi\)
\(752\) −945855. 1.26216e7i −0.0609930 0.813895i
\(753\) 5.32882e6 + 9.22979e6i 0.342487 + 0.593204i
\(754\) −1.90306e6 + 3.29620e6i −0.121906 + 0.211147i
\(755\) 1.58402e7 + 7.62826e6i 1.01133 + 0.487032i
\(756\) 6.71017e6 + 5.74947e6i 0.427001 + 0.365867i
\(757\) −1.16744e7 + 5.62209e6i −0.740448 + 0.356581i −0.765784 0.643098i \(-0.777649\pi\)
0.0253360 + 0.999679i \(0.491934\pi\)
\(758\) −52133.7 + 695676.i −0.00329568 + 0.0439778i
\(759\) −2.77939e6 + 857328.i −0.175124 + 0.0540185i
\(760\) −578995. + 178596.i −0.0363614 + 0.0112160i
\(761\) −1.30216e6 +