Properties

Label 49.6.g.a.25.4
Level $49$
Weight $6$
Character 49.25
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 25.4
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.4

$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\)

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 −0.880536 0.473979i \(-0.842817\pi\)
−0.460531 + 0.887644i \(0.652341\pi\)
\(3\) −8.77900 22.3685i −0.563173 1.43494i −0.874681 0.484699i \(-0.838929\pi\)
0.311508 0.950244i \(-0.399166\pi\)
\(4\) 25.6353 17.4778i 0.801103 0.546183i
\(5\) 44.1683 + 6.65731i 0.790107 + 0.119090i 0.531685 0.846942i \(-0.321559\pi\)
0.258423 + 0.966032i \(0.416797\pi\)
\(6\) 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 0.657137 0.753771i \(-0.271767\pi\)
−0.702555 + 0.711629i \(0.747958\pi\)
\(12\) −616.006 419.986i −1.23490 0.841941i
\(13\) 101.671 445.452i 0.166856 0.731042i −0.820386 0.571811i \(-0.806241\pi\)
0.987241 0.159232i \(-0.0509016\pi\)
\(14\) −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 −0.718850 0.695166i \(-0.755331\pi\)
0.814430 0.580262i \(-0.197050\pi\)
\(18\) 1327.48 2299.26i 0.965708 1.67266i
\(19\) −877.586 1520.02i −0.557707 0.965976i −0.997687 0.0679691i \(-0.978348\pi\)
0.439981 0.898007i \(-0.354985\pi\)
\(20\) 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 0.352827 + 0.935689i \(0.385221\pi\)
−0.209429 + 0.977824i \(0.567160\pi\)
\(24\) −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 −0.535333 0.844641i \(-0.679814\pi\)
0.326592 + 0.945165i \(0.394100\pi\)
\(30\) 4260.57 + 7379.52i 0.864300 + 1.49701i
\(31\) −959.675 + 1662.21i −0.179358 + 0.310657i −0.941661 0.336564i \(-0.890735\pi\)
0.762303 + 0.647220i \(0.224069\pi\)
\(32\) 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 −0.292974 0.956121i \(-0.594645\pi\)
−0.997063 + 0.0765886i \(0.975597\pi\)
\(38\) 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 −0.541855 0.840472i \(-0.682278\pi\)
0.939974 + 0.341247i \(0.110849\pi\)
\(42\) 23326.2 + 8218.60i 2.04042 + 0.718910i
\(43\) 1812.37 + 2272.64i 0.149478 + 0.187439i 0.850933 0.525274i \(-0.176037\pi\)
−0.701455 + 0.712714i \(0.747466\pi\)
\(44\) −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 0.108177 0.994132i \(-0.465499\pi\)
0.649394 + 0.760452i \(0.275023\pi\)
\(48\) 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 −0.113685 0.993517i \(-0.536265\pi\)
0.883305 + 0.468799i \(0.155313\pi\)
\(54\) −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 −0.586857 0.809690i \(-0.699635\pi\)
−0.322124 + 0.946697i \(0.604397\pi\)
\(60\) −24412.0 22651.0i −0.875438 0.812287i
\(61\) −21212.6 14462.5i −0.729911 0.497645i 0.140432 0.990090i \(-0.455151\pi\)
−0.870343 + 0.492445i \(0.836103\pi\)
\(62\) 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 0.260399 + 0.965501i \(0.416146\pi\)
−0.966348 + 0.257238i \(0.917187\pi\)
\(68\) −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 0.781412 0.624016i \(-0.214500\pi\)
−0.000672585 1.00000i \(0.500214\pi\)
\(72\) 193.149 + 2577.40i 0.00439099 + 0.0585936i
\(73\) −17615.2 5433.57i −0.386884 0.119338i 0.0952105 0.995457i \(-0.469648\pi\)
−0.482094 + 0.876119i \(0.660124\pi\)
\(74\) 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 −0.955316 0.295588i \(-0.904485\pi\)
0.221671 0.975121i \(-0.428849\pi\)
\(80\) −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 0.999496 0.0317446i \(-0.0101063\pi\)
−0.914288 + 0.405064i \(0.867249\pi\)
\(84\) −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 0.143170 0.989698i \(-0.454270\pi\)
0.997630 0.0688098i \(-0.0219201\pi\)
\(90\) 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 0.997774 + 0.0666923i \(0.0212446\pi\)
−0.686058 + 0.727547i \(0.740660\pi\)
\(102\) 240220. 163779.i 2.28617 1.55868i
\(103\) 200630. + 30240.0i 1.86338 + 0.280860i 0.981622 0.190838i \(-0.0611205\pi\)
0.881760 + 0.471698i \(0.156359\pi\)
\(104\) −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 −0.718085 0.695955i \(-0.754981\pi\)
0.640347 + 0.768086i \(0.278791\pi\)
\(108\) 67399.2 10158.8i 0.556026 0.0838074i
\(109\) −2742.02 2544.22i −0.0221057 0.0205111i 0.669043 0.743224i \(-0.266704\pi\)
−0.691148 + 0.722713i \(0.742895\pi\)
\(110\) 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 0.968408 + 0.249373i \(0.0802244\pi\)
−0.764306 + 0.644853i \(0.776918\pi\)
\(114\) 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 0.561998 0.827139i \(-0.310033\pi\)
0.997083 + 0.0763248i \(0.0243186\pi\)
\(128\) 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 −0.998592 0.0530408i \(-0.983109\pi\)
0.768097 + 0.640334i \(0.221204\pi\)
\(132\) 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 −0.380617 0.924733i \(-0.624288\pi\)
−0.0911372 + 0.995838i \(0.529050\pi\)
\(138\) −680785. + 631676.i −3.04307 + 2.82356i
\(139\) −97435.3 + 122180.i −0.427739 + 0.536368i −0.948266 0.317477i \(-0.897164\pi\)
0.520526 + 0.853846i \(0.325736\pi\)
\(140\) 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 0.161412 0.986887i \(-0.448395\pi\)
0.689298 + 0.724478i \(0.257919\pi\)
\(150\) −78744.9 200639.i −0.285755 0.728093i
\(151\) 325213. 221727.i 1.16072 0.791363i 0.179402 0.983776i \(-0.442584\pi\)
0.981314 + 0.192413i \(0.0616313\pi\)
\(152\) −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 0.850332 0.526246i \(-0.176401\pi\)
0.967668 + 0.252227i \(0.0811630\pi\)
\(158\) 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 −0.550333 0.834945i \(-0.685499\pi\)
0.971330 0.237737i \(-0.0764055\pi\)
\(164\) 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 0.216737 0.976230i \(-0.430459\pi\)
0.898381 + 0.439218i \(0.144744\pi\)
\(168\) −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 −0.597892 0.801576i \(-0.703995\pi\)
0.471746 0.881735i \(-0.343624\pi\)
\(174\) −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 −0.995172 0.0981490i \(-0.968708\pi\)
0.998685 + 0.0512699i \(0.0163269\pi\)
\(180\) −169323. + 431428.i −0.389524 + 0.992491i
\(181\) 123901. + 542844.i 0.281110 + 1.23162i 0.896372 + 0.443302i \(0.146193\pi\)
−0.615262 + 0.788323i \(0.710950\pi\)
\(182\) 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 −0.776599 0.629995i \(-0.783057\pi\)
−0.927792 + 0.373099i \(0.878295\pi\)
\(192\) 610414. 416173.i 1.19501 0.814744i
\(193\) 142574. + 363272.i 0.275516 + 0.702003i 0.999920 + 0.0126276i \(0.00401960\pi\)
−0.724404 + 0.689375i \(0.757885\pi\)
\(194\) 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 0.998940 0.0460403i \(-0.0146603\pi\)
−0.763590 + 0.645702i \(0.776565\pi\)
\(200\) −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 −0.948241 0.317553i \(-0.897139\pi\)
0.716554 0.697531i \(-0.245718\pi\)
\(212\) 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 0.391361 0.920237i \(-0.372004\pi\)
−0.475461 + 0.879737i \(0.657719\pi\)
\(224\) −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 −0.988709 0.149847i \(-0.952122\pi\)
0.624126 + 0.781324i \(0.285455\pi\)
\(228\) −97790.1 + 1.30492e6i −0.124583 + 1.66244i
\(229\) 179046. 456202.i 0.225619 0.574868i −0.772576 0.634922i \(-0.781032\pi\)
0.998195 + 0.0600543i \(0.0191274\pi\)
\(230\) −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 0.973029 0.230683i \(-0.0740961\pi\)
0.140750 + 0.990045i \(0.455048\pi\)
\(234\) −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 0.929016 0.370041i \(-0.120656\pi\)
−0.567488 + 0.823381i \(0.692085\pi\)
\(240\) 1.11888e6 + 168644.i 1.25388 + 0.188991i
\(241\) −451161. + 307596.i −0.500367 + 0.341145i −0.787058 0.616878i \(-0.788397\pi\)
0.286691 + 0.958023i \(0.407445\pi\)
\(242\) 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 0.900816 0.434201i \(-0.142969\pi\)
−0.623765 + 0.781612i \(0.714398\pi\)
\(252\) 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 0.0589846 0.998259i \(-0.481214\pi\)
−0.907704 + 0.419612i \(0.862166\pi\)
\(258\) −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 −0.981460 0.191665i \(-0.938611\pi\)
0.656717 + 0.754137i \(0.271945\pi\)
\(264\) 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 −0.0449314 0.998990i \(-0.514307\pi\)
−0.599875 + 0.800094i \(0.704783\pi\)
\(270\) −744414. 229621.i −0.621448 0.191691i
\(271\) 29938.8 + 399505.i 0.0247634 + 0.330445i 0.995803 + 0.0915254i \(0.0291743\pi\)
−0.971039 + 0.238920i \(0.923207\pi\)
\(272\) 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 −0.942993 0.332812i \(-0.892003\pi\)
0.982064 0.188549i \(-0.0603784\pi\)
\(278\) 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 −0.624412 0.781095i \(-0.714661\pi\)
0.901480 0.432820i \(-0.142482\pi\)
\(282\) 1.89242e6 + 1.29023e6i 1.41708 + 0.966151i
\(283\) 259015. + 240331.i 0.192247 + 0.178379i 0.770423 0.637533i \(-0.220045\pi\)
−0.578176 + 0.815912i \(0.696235\pi\)
\(284\) 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 −0.799786 0.600285i \(-0.795054\pi\)
0.981036 0.193823i \(-0.0620889\pi\)
\(308\) −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 0.937735 + 0.347351i \(0.112919\pi\)
−0.979031 + 0.203710i \(0.934700\pi\)
\(312\) −42427.5 + 73486.6i −0.0246752 + 0.0427387i
\(313\) 1.16734e6 + 2.02189e6i 0.673497 + 1.16653i 0.976906 + 0.213670i \(0.0685417\pi\)
−0.303409 + 0.952860i \(0.598125\pi\)
\(314\) −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 1.00000 0.000302302i \(-9.62258e-5\pi\)
−0.988876 + 0.148743i \(0.952477\pi\)
\(318\) 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 0.417012 0.908901i \(-0.363077\pi\)
−0.693720 + 0.720245i \(0.744030\pi\)
\(332\) 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 0.953962 0.299928i \(-0.0969628\pi\)
−0.504685 + 0.863304i \(0.668391\pi\)
\(338\) −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 −0.0301320 0.999546i \(-0.509593\pi\)
0.919443 + 0.393224i \(0.128640\pi\)
\(348\) 773561. + 116596.i 0.342410 + 0.0516100i
\(349\) −319626. 400798.i −0.140468 0.176142i 0.706621 0.707592i \(-0.250219\pi\)
−0.847089 + 0.531451i \(0.821647\pi\)
\(350\) 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 0.313508 0.949585i \(-0.398496\pi\)
0.579475 + 0.814990i \(0.303258\pi\)
\(354\) −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 0.219094 + 0.975704i \(0.429690\pi\)
−0.824254 + 0.566220i \(0.808405\pi\)
\(360\) −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 0.859618 0.510938i \(-0.170702\pi\)
0.422428 + 0.906396i \(0.361178\pi\)
\(368\) −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 −0.978061 0.208319i \(-0.933201\pi\)
0.308621 0.951185i \(-0.400133\pi\)
\(374\) 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 −0.978304 0.207175i \(-0.933573\pi\)
0.971311 + 0.237812i \(0.0764301\pi\)
\(380\) −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 −0.880368 0.474291i \(-0.842704\pi\)
0.407175 + 0.913350i \(0.366514\pi\)
\(384\) 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 0.935141 0.354275i \(-0.115272\pi\)
−0.926475 + 0.376355i \(0.877177\pi\)
\(390\) 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 −0.398613 0.917119i \(-0.630508\pi\)
−0.651229 + 0.758881i \(0.725746\pi\)
\(398\) −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 −0.278600 0.960407i \(-0.589870\pi\)
0.936902 + 0.349592i \(0.113680\pi\)
\(402\) −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 0.944545 + 0.328382i \(0.106503\pi\)
−0.982938 + 0.183937i \(0.941116\pi\)
\(410\) −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 −0.144471 0.989509i \(-0.546148\pi\)
−0.863705 + 0.503997i \(0.831862\pi\)
\(420\) −4.24031e6 811771.i −1.17294 0.224548i
\(421\) 2.75295e6 1.32575e6i 0.756996 0.364550i −0.0152416 0.999884i \(-0.504852\pi\)
0.772238 + 0.635334i \(0.219137\pi\)
\(422\) 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 0.0344817 0.999405i \(-0.489022\pi\)
0.327530 + 0.944841i \(0.393784\pi\)
\(432\) −1.69769e6 + 1.57523e6i −0.437673 + 0.406102i
\(433\) 1.33773e6 1.67747e6i 0.342886 0.429966i −0.580250 0.814438i \(-0.697045\pi\)
0.923136 + 0.384473i \(0.125617\pi\)
\(434\) −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 −0.0158625 0.999874i \(-0.505049\pi\)
0.550143 + 0.835071i \(0.314573\pi\)
\(440\) −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 0.0851545 0.996368i \(-0.472862\pi\)
0.631632 + 0.775268i \(0.282385\pi\)
\(444\) 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 0.174906 + 0.984585i \(0.444038\pi\)
−0.998820 + 0.0485699i \(0.984534\pi\)
\(450\) −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 −0.936276 0.351265i \(-0.885752\pi\)
0.925260 + 0.379334i \(0.123847\pi\)
\(458\) −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 0.175170 0.984538i \(-0.443952\pi\)
0.878960 + 0.476896i \(0.158238\pi\)
\(462\) −286166. 544286.i −0.0623753 0.118637i
\(463\) 4.77751e6 + 2.30073e6i 1.03574 + 0.498785i 0.872916 0.487871i \(-0.162226\pi\)
0.162821 + 0.986656i \(0.447941\pi\)
\(464\) −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 −0.934157 0.356862i \(-0.883847\pi\)
0.870536 0.492105i \(-0.163772\pi\)
\(468\) 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 0.533059 0.846078i \(-0.321042\pi\)
−0.803877 + 0.594796i \(0.797233\pi\)
\(480\) −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 −0.995396 0.0958447i \(-0.969445\pi\)
0.664486 0.747301i \(-0.268650\pi\)
\(488\) −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 −0.835751 0.549109i \(-0.814967\pi\)
0.485118 + 0.874449i \(0.338777\pi\)
\(500\) −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 0.633772 + 0.773520i \(0.281506\pi\)
−0.906626 + 0.421934i \(0.861351\pi\)
\(504\) 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 0.965216 + 0.261455i \(0.0842022\pi\)
−0.256181 + 0.966629i \(0.582464\pi\)
\(510\) 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 −0.753741 0.657171i \(-0.771753\pi\)
0.945998 + 0.324174i \(0.105086\pi\)
\(522\) −208183. + 2.77801e6i −0.0334402 + 0.446229i
\(523\) 1.00484e6 2.56029e6i 0.160636 0.409293i −0.827782 0.561050i \(-0.810398\pi\)
0.988418 + 0.151756i \(0.0484929\pi\)
\(524\) 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 −0.795128 0.606442i \(-0.792596\pi\)
−0.315344 + 0.948977i \(0.602120\pi\)
\(542\) −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 −0.762339 0.647178i \(-0.775949\pi\)
0.800588 + 0.599215i \(0.204520\pi\)
\(548\) −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 −0.990505 0.137475i \(-0.956101\pi\)
0.614310 + 0.789065i \(0.289435\pi\)
\(558\) 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 0.999615 0.0277509i \(-0.00883452\pi\)
0.810288 + 0.586032i \(0.199311\pi\)
\(564\) −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 0.732012 0.681291i \(-0.238581\pi\)
−0.956022 + 0.293295i \(0.905248\pi\)
\(570\) 7.47803e6 1.29523e7i 0.964052 1.66979i
\(571\) −536266. + 7.15597e6i −0.0688319 + 0.918499i 0.850743 + 0.525583i \(0.176153\pi\)
−0.919574 + 0.392916i \(0.871466\pi\)
\(572\) −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 0.328273 0.944583i \(-0.393533\pi\)
−0.917410 + 0.397944i \(0.869724\pi\)
\(578\) 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 −0.292147 0.956373i \(-0.594370\pi\)
−0.561064 + 0.827773i \(0.689608\pi\)
\(594\) 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 0.978077 + 0.208243i \(0.0667745\pi\)
0.280753 + 0.959780i \(0.409416\pi\)
\(600\) 173369. + 118201.i 0.0196604 + 0.0134042i
\(601\) −657081. + 2.87886e6i −0.0742049 + 0.325113i −0.998383 0.0568495i \(-0.981894\pi\)
0.924178 + 0.381962i \(0.124752\pi\)
\(602\) −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 0.927053 0.374930i \(-0.122333\pi\)
−0.788225 + 0.615387i \(0.789000\pi\)
\(608\) −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 0.345550 0.938400i \(-0.387692\pi\)
−0.243113 + 0.969998i \(0.578169\pi\)
\(614\) 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 0.113833 0.993500i \(-0.463687\pi\)
0.847723 + 0.530439i \(0.177973\pi\)
\(618\) 1.93531e7 + 3.35206e7i 2.03836 + 3.53054i
\(619\) −1.70108e6 + 2.94635e6i −0.178442 + 0.309071i −0.941347 0.337440i \(-0.890439\pi\)
0.762905 + 0.646511i \(0.223772\pi\)
\(620\) −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 0.888105 0.459640i \(-0.152022\pi\)
−0.645738 + 0.763559i \(0.723450\pi\)
\(632\) −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 −0.889313 0.457300i \(-0.848817\pi\)
0.100786 + 0.994908i \(0.467864\pi\)
\(642\) −2.36914e6 357091.i −0.226858 0.0341933i
\(643\) −5.76522e6 7.22935e6i −0.549906 0.689560i 0.426750 0.904369i \(-0.359658\pi\)
−0.976656 + 0.214810i \(0.931087\pi\)
\(644\) 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 0.587380 0.809311i \(-0.300159\pi\)
0.799833 + 0.600222i \(0.204921\pi\)
\(648\) 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 −0.494442 0.869211i \(-0.664628\pi\)
0.953665 0.300870i \(-0.0972772\pi\)
\(654\) 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 0.678344 0.734744i \(-0.262698\pi\)
−0.151505 + 0.988456i \(0.548412\pi\)
\(660\) 61877.9 + 825703.i 0.00552937 + 0.0737843i
\(661\) 3.54218e6 + 1.09262e6i 0.315331 + 0.0972667i 0.448381 0.893843i \(-0.352001\pi\)
−0.133050 + 0.991109i \(0.542477\pi\)
\(662\) 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 0.849438 + 0.527689i \(0.176941\pi\)
−0.994273 + 0.106874i \(0.965916\pi\)
\(674\) −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 −0.000657376 1.00000i \(-0.500209\pi\)
0.997154 + 0.0753856i \(0.0240188\pi\)
\(678\) −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 0.966341 0.257266i \(-0.0828218\pi\)
−0.883363 + 0.468689i \(0.844727\pi\)
\(684\) 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 0.378706 0.925517i \(-0.376369\pi\)
0.0890807 + 0.996024i \(0.471607\pi\)
\(692\) −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 0.981651 + 0.190689i \(0.0610721\pi\)
−0.801700 + 0.597727i \(0.796071\pi\)
\(702\) −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 −0.531891 0.846813i \(-0.678518\pi\)
0.399739 0.916629i \(-0.369101\pi\)
\(710\) −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 −0.932837 0.360299i \(-0.882675\pi\)
0.928883 + 0.370372i \(0.120770\pi\)
\(720\) −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 −0.821726 0.569882i \(-0.806989\pi\)
0.738445 + 0.674313i \(0.235560\pi\)
\(728\) −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 −0.555957 0.831211i \(-0.687648\pi\)
0.00888447 + 0.999961i \(0.497172\pi\)
\(734\) −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 −0.509764 + 0.860314i \(0.670267\pi\)
−0.987082 + 0.160218i \(0.948780\pi\)
\(740\) −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 −0.776905 0.629618i \(-0.783212\pi\)
0.786709 + 0.617324i \(0.211783\pi\)
\(744\) 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 0.617286 + 0.786739i \(0.288232\pi\)
−0.987621 + 0.156860i \(0.949863\pi\)
\(752\) −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 0.0253360 0.999679i \(-0.491934\pi\)
−0.765784 + 0.643098i \(0.777649\pi\)
\(758\) −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
\(761\)